HajimeKawahara/exojax

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documents/tutorials/Forward_modeling_using_MODIT.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forward Modelling of a Many Lines Spectrum using MODIT"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we try to compute a emission spectrum using MODIT."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import rtransfer as rt\n",
    "from exojax.spec import modit\n",
    "from exojax.spec import lpf\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('bmh')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#ATMOSPHERE                                                                     \n",
    "NP=100\n",
    "T0=1295.0 #K\n",
    "Parr, dParr, k=rt.pressure_layer(NP=NP)\n",
    "Tarr = T0*(Parr)**0.1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We set a wavenumber grid using wavenumber_grid. Specify xsmode=\"dit\" though it is not mandatory.\n",
    "DIT uses FFT, so the (internal) wavenumber grid should be linear. \n",
    "But, you can also use a nonlinear grid. In this case, the interpolation (jnp.interp) is used.   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nugrid is log: mode= modit\n"
     ]
    }
   ],
   "source": [
    "from exojax.utils.grids import wavenumber_grid\n",
    "nus,wav,R=wavenumber_grid(22900,23000,10000,unit=\"AA\",xsmode=\"modit\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Loading a molecular database of CO and CIA (H2-H2)... "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Background atmosphere:  H2\n",
      "Reading transition file\n",
      ".broad is used.\n",
      "Broadening code level= a0\n",
      "default broadening parameters are used for  71  J lower states in  152  states\n",
      "H2-H2\n"
     ]
    }
   ],
   "source": [
    "from exojax.spec import api, contdb\n",
    "mdbCO=api.MdbExomol('.database/CO/12C-16O/Li2015',nus)\n",
    "cdbH2H2=contdb.CdbCIA('.database/H2-H2_2011.cia',nus)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import molinfo\n",
    "molmassCO=molinfo.molmass(\"CO\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Computing the relative partition function, "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from jax import vmap\n",
    "qt=vmap(mdbCO.qr_interp)(Tarr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pressure and Natural broadenings "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from jax import jit\n",
    "from exojax.spec.exomol import gamma_exomol\n",
    "from exojax.spec import gamma_natural\n",
    "\n",
    "gammaLMP = jit(vmap(gamma_exomol,(0,0,None,None)))\\\n",
    "        (Parr,Tarr,mdbCO.n_Texp,mdbCO.alpha_ref)\n",
    "gammaLMN=gamma_natural(mdbCO.A)\n",
    "gammaLM=gammaLMP+gammaLMN[None,:]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "MODIT uses the normalized gammaL."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "dv_lines=mdbCO.nu_lines/R\n",
    "ngammaLM=gammaLM/dv_lines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "normalized Doppler broadening is common for the lines, so we compute the vector for the layers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import normalized_doppler_sigma\n",
    "nsigmaDl=normalized_doppler_sigma(Tarr,molmassCO,R)[:,np.newaxis]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And line strength"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import SijT\n",
    "SijM=jit(vmap(SijT,(0,None,None,None,0)))\\\n",
    "    (Tarr,mdbCO.logsij0,mdbCO.nu_lines,mdbCO.elower,qt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "MODIT requires the grids of ngammaL, and wavenumber. For the emission spectrum, this grids should be prepared for each layer. \n",
    "dit.dgmatrix can compute these grids.   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "dgm_ngammaL=modit.dgmatrix(ngammaLM)\n",
    "#you can change the resolution \n",
    "#dgm_gammaL=dit.dgmatrix(ngammaLM,res=0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can check how the grids are set for each layers using plot.ditplot.plot_dgm "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#show the DIT grids \n",
    "from exojax.plot.ditplot import plot_dgmn\n",
    "plot_dgmn(Parr,dgm_ngammaL,ngammaLM,80,100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Initialize modit!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import initspec \n",
    "cnu,indexnu,R,pmarray=initspec.init_modit(mdbCO.nu_lines,nus)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute the cross section array!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "xsmmodit=modit.xsmatrix(cnu,indexnu,R,pmarray,nsigmaDl,ngammaLM,SijM,nus,dgm_ngammaL)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Some elements may be small negative values because of error for DIT. you can just use jnp.abs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "149449 / 1000000\n"
     ]
    }
   ],
   "source": [
    "import jax.numpy as jnp\n",
    "print(len(xsmmodit[xsmmodit<0.0]),\"/\",len((xsmmodit).flatten()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "xsmmodit=jnp.abs(xsmmodit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also compute the cross section using the direct computation (LPF) for the comparison purpose."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#direct LPF for comparison\n",
    "\n",
    "#we need sigmaDM for LPF\n",
    "from exojax.spec import doppler_sigma\n",
    "sigmaDM=jit(vmap(doppler_sigma,(None,0,None)))\\\n",
    "        (mdbCO.nu_lines,Tarr,molmassCO)\n",
    "\n",
    "from exojax.spec.lpf import xsmatrix\n",
    "numatrix=initspec.init_lpf(mdbCO.nu_lines,nus)\n",
    "xsmdirect=xsmatrix(numatrix,sigmaDM,gammaLM,SijM)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "BTW, if you are not busy, check the computational time for both LPF and MODIT."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "%timeit modit.xsmatrix(cnu,indexnu,R,pmarray,nsigmaDl,ngammaLM,SijM,nus,dgm_ngammaL)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "71.9 ms ± 1.17 ms per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit xsmatrix(numatrix,sigmaDM,gammaLM,SijM)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see the cross section matrix!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_39483/2412046399.py:5: RuntimeWarning: divide by zero encountered in log10\n",
      "  c=plt.imshow(np.log10(xsmmodit),cmap=\"bone_r\",vmin=-23,vmax=-19)\n"
     ]
    },
    {
     "data": {
      "image/png": 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9+JWf/SmUSiX8y3/5L/HQQw/5Y/7JP/kn+LEf+zE0Gg0897nPxQc/+EGfaX7eYfxoJDybJyfF5uZm38dmCyR456mNAv0xiC0HArNKsOPAojALtjxNZ1JwZAXmgX6yzWutv/aAc7wGwEsBXNLNdevXAFzIHXaPfa8rB4p3rfUfAyAdPnrfQd/ttp96rVZre+8FL3gBXvCCF/i/v+VbvgWf35f4J695Zdux//k//+eev/voo4+2/P3Wt771oKLOFJwujvjrBWXzIwyvXbuGBx54oK9jF2m2epGiCAKGQWw5MF0Oc1A7jQFyv7P9w8z+HaYdT3I2PAiV2aeXPYzDVqbZJwd7DAT6Y9St4gghLwHwJgBfo7Vu5D76LQD/lRDyMzAJ6+4H8Ge9zjXWWJ0kGW0/PHFEZqCLMDo/onYUxByJ90EecOkCzVbPexTBPDlSpFIT+Z0wWAuMmyCCA4H+CbYcCMwHo2wVB+CdANYBfIAQ8glCyL8BAK31pwD8KoBPA/hdAK/rlWkeGHCruEHpN5N9N/IJ644SR6Xe8+SkEAPs3b5IoebzPvNepxTLc7KcpsEY1peWxv47g9jyrEM5R+WA5VnzyrwP6Mdd/sO043m/1oHDoZ8IkHHYyiL1yYHAomJm3uOhv6+1fmqPz34cwI/3e66xincpezoODoTP0czsYTJPM9KjME9Oimq12vex8z5bnWfeHRGDzrxPM5lUndKJiPdBbHnWaTC2sOJ9nhn2Phrk+Hm145CwLlBkmrY8re3xAoH5gyCOZ2O8MVbxPmoCuXkSd4cF5XyuZqRHgc9RPS9evNj3sWyBnC/zlJegE/MUOZAyOpHfGcSWi8zaTHedUpxYXZ1qGbiUKI3gjQ8Mxyh2HAh0YlriNdhyIDD7jLrm/TAZ65r3bgnr+kUewTXvdUqPjNNiniIrrly50vexPJufeh3EPEeBpIwNPPM+zf2eGxNKVDmILReZNWfILOQ0mIUyzBqD3kfD3Hej2HEgMEtM05bdvRdm3QOBgzDi3b2myVjFu9kifniEGC3sfh5pMHZkEvXNk5NikCgSwcTEko+Nm3mOAkkZm6vkgZNaojBKRFSdTiY6oF9mwZkwa9dkFtjZ2Rn7/tGLsjVsYPaYhP3mmbYtT7q+gcA8QggQRbF/TZOxug5GzTZ/FGfeM87nStQOCxNirpwUp06d6vtYzvjEko+Nm3m2xQZjSOdIWE1KiA5iy0VmLQfCLOSXyPh0ytCgFCuVylR+exYYxY6nSZjhnF2mJWDn1ZYDgaMEIQRJ6QiEzfMRB3qCSzTmaPB9GDQYOxJOiwZjcyUMr1+/3vexgomJrV8eN/MeNj9rYrMXGeegEyjvILachwkxEzPdeWahfSe13KHtd2esLfJMIgx3WDsOBGaNw7TlMIseCIwJQhAlkX9Nk5ne513y2RssjpuMMfA5ErXDks6Zk2IQz7hgfGoD+sNmnm0x5Rx0jrbgyTibSH837CxPg7GZmOnOMwvLIqa15n3e19qPWv4wWxk4bKYVFTFtWw5r3gOBgyEA4jj2r2ky1vl/NeK6XynV3A9QBiXjHJIv/lr/xpw5KbIs6/tYzhbH6WSiCNjc7JWeJ6V0JmZm+yVjHCljY8+ePogt5xkmAeC4mYX2PWwHQr+D6HnvY+qUjtSvDGvHgUA3prVt2mHachDhgcCYIARxMhs7y4x15n1U8S6O4sw753O1FnxYUkbnyklRr9f7PlYwMROi4jDgVlDOIxnn4Nn8lJ3aXAnjZhBbztOYwQSAsxAJMK17fVL3JRtT9Mqo5R/WjgOBWSPYciAw+xACxKXYv6bJTO/zroRaGBHULxnnkEcgy37G5stJMcg+rIKLuRW8RSSXaDCGk9MuyBCknM9VdIeYUMTGsHsKp2z2IhnYDORkmFbCukk5UuqUojziErhOjGrrYW/swGET9nkPBAJdIWTq4fKOmd7n/SjOvKdHZKu4BmNz5aQYZB/WRZp5F/M+8z5HW91xOpk15cPuKdyYUPkGYRaSXmZTciBMYicFJsbniBy1j5zG3tiTSCgZOHpMc5/3QCDQH4QAcRL51zTp69cJIY8SQv6KEPIJQshH7XsnCSEfIIR81v7b5rKMouErp7SGkmrmBovjhjEONUeidljmbXlAZYAtmcQYB7yTRtiZ93kkY2yusuVzNhm7GcSW82Scg8/YPcuz6bcvnZKNTcJB2GDjS6I46nmdHU+yrx20zEdtt5x5Z1qZ2oftkwOBwCQhiJLYv6bJIOr6b2mtH9JaP9v+/WYAD2ut7wfwsP27hVHCC+qUQgq5MCKoXzjlEHO0FnxY5i0x3/Hjx/s+VnK5MDPvkou5daAxNn9h85MIhR7ElvPMYiQDZ5PZXq9nGSgHl5Pty7iUE7GVdIzifdR+xdlxfYICedDxyLw6PgOTZdg+ORAITA5iw+ZnIdv8KPP+LwfwLvv/dwH4puIBo+zznjIr3hdEBPWLoBxywgPBaZDOWdj8zZs3+z5WcDG12bjDRoj5nXkXTMxEWHW/cMYn4vQZxJbzZJxDzJh4F0xMVLx1LgOfeBlSxsaWSC7POLcHHNXWnR1nnA99LQ5bjBfPd9QmHwLDMWyfHAgEJscsJazrV7xrAL9HCHmEEPLd9r1NrfV1+/8bADaLXxpln/cGZVBSTWSAMktwJuZqRnpYGJsvJ8WZM2f6PlYJNXMzlMMi+fyu3xd0vpZmCDaZKIdBbDlPOoPbO4oJZejvxaSWO+RpMDaRnRTGmaRw1PM6O04ZG9p5Uqd0oDHGQckJi3YwbdsMzAfD9smBQGCC2K3i3Gua9Kuu/6bW+hoh5C4AHyCEfCb/odZaE0J08Uu3bt3Cgw8+iFKpBCEEXvnKV+JNb3oTrly5gvX1dSRJgp2dHZw/fx43b96EUgrnz5/H1atXsS8Ezp8/jnhvH41GA9euXUMURdjc3MS1a9dw4sQJCCFQrVZx8eJFXLlyBeVyGadOncL169dx6tQpZFmGer3uP69UKjh+/Dhu3ryJM2fOoF6vo9Fo+M9XVlawurqKra0tbG5uYnd3F5RS//nq6iqWlpawvb2Nc+fOYXt7G4wx//lBddrY2AAA7O3t4cKFCx3rVJECT7//LBppiquPPbYQderUTjqjeODJm7i1tQVG6czXaX9/H+VyuS/bO7ZaRpxluHz58kzXqZ92WirFYHfu4Pbt23NnezHnWI1JSzvM8v10aimGbqS4cePGwO00SJ0ee+wxbG1tDVynaH8fhAt88YtfnIjt9VOnE+UI29vb0FO0PXCBK1/8IhrHjk3s+STLZcRp2mLb47ifbu/sIEsSXL58+dDrpHZ3cfXq1aHb6XOf+xzuuecebN+5g70bN/D0pz51YNuTSYLdOIbM/WavOt26+jgeFbJrnT7/uc+hevIk1tfWsLW1hT2l8CilM9GXz2q/N4t1unz58kTrVCqVsLW1Fdop1Gmu67ToEABRPN1EdQ6idZvm7v0FQt4KoAbgHwJ4gdb6OiHkHIA/1Fo/kD/2Qx/6kH7+858/VMEe+eIX8dbv/Wm8/HXfhH/wkq8d6hzzyNv/y3vwsQ98DP/23/8zrC8tTbs4Y+Pfvff9+NB7Poyf/4UfwbHl5WkX50AuX76MBx544OADAXzPG34CD73wIfyfL//6MZdq/PxfP/A2fPUrn49vf97zpl2UgfnZd/8m7ty4gx/9vtdOuyh98aP/+l248PQL+M4XvXCsvzOILef5T7//QWw/sY03vuoVYyjVcPw/P/9LeNk3fg2+/MKFqZXhp3/pv+PFL3gOHrxncmX41OOP448//il8zze+eKy/86HPfAa7jQZe9qxnHfq5/8sffQiv+prhxgdA047/9HOfw+ljx/CUu+4a+ByfvXEDa0tLONfnmuMPfeYzeP7Tn97zfHefOI7Vinl2/8lnP4u/cf/9A5crcLQYtk8OBGaJhx9++JFLly49++Aj55Nf+83f1n/6ycf831/33KdNrb4HuhAIIauEkHX3fwBfB+CTAH4LwKvtYa8G8JvF746yz3udUig1X2tWDwPBBKSQU1/HOW44E1BSzU09+92HVWkNKeRChM1zKSGEnEh47jjgjM9VXgXJxUTWlA+7pzDP2Mz1x0KIiWyZ1gvJ5cS3izNLGMb/mxkfz1aRTIz+bHd2bMo4nA00Bgy5PyjUv8EYGrR5veY12WdgsoR93gOB2YcQICnF/jVN+pn/3wTwx4SQvwDwZwB+W2v9uwB+EsCLCCGfBfC19u8WRtnnvcEYlFLg9Gg9/I6MeKd8rurZ7z6stSyD5HIiA+txU8sySCHB5tQRIZiYq3YQfDLXetg9hTkTkDOWg0TOwFaGfArr7lPOJ+JIyTgHG8M9VKd05G3+nB2nnLcI5kFoMHbgOvY8B4n3rJCdf9q2GZgPwj7vgcDsQwhBFMf+NU0OXPOutf4CgGd2eH8bwKVe3x1ln/eUMUgp5lY4DAtnfK5mpIdFsPkS7/2u56lTCinlzM1QDkOdUkg+v3URc5b8UfLJRBoNuzbNOENmyxYEn3yyuCLTcCCkjEFMwDFlfufw27xO6ciONWfHGR9+l4aMMcSE+L8p56iUSl2Pd9sScilRKgze6jRDg7EWe5zXZJ+ByXIU1gsHAnOPTVg3C4x15f0o4j3jHFrPr3AYBqU1BBNQan5E7bC4sPl5mZlYXV3t67g6NVscTmJgPW5cXeY1+oWzOcs2PyG76deWi3DGZ8oZIpWC5NPfTlRMaIu/PBnnE3GkMMbHsmzmMJwCzo6Ls92DUFwWcNB53BagnZ7PDcqQ8dYojEXZMjQwXobtkwOBwOQgAOIk8q9pMtZfFyOEWLKUQill99DNDrFUs0styyCEgJRy6us4x0neSdGYk3pubW31dVydUrNV3AI4neqUQkk5t3WRQkIJNRf9R8oYJJ/MzHa/tlxEMDFTzpA6pRBcTF0gCS4nvrbZ2Mv4HSnjirZoMNbRltQACXSdHbMOzpN+t3/LOG9x/vSK4nDPrW7H1SltiwJYBCduYPwM2ycHAoEJQgjiJPGvaTJW8V7qEX7WizrNwDK75p0JVLP5EHijUssyCCagtUR9yAQ880Aty8wsnpRozEk9Nzc3+zouHzY/D6KxF2bmfT73rGfCCE0h5qP/MEJ0MpFG/dpyEbcMYZB9sceJy8kwzciQBqWQXIxlXXgvGOMjOcf7ZVxJChtdZt4HSTzn7Fgw0eY86Xcmvii2e30vH+rfaZ18gzFQzn1ZGpSC0aMz+RAYnmH75EAgMDkIOSIz71IONzNQzShYxqGUBM/4woeQO+p2ICilRIOyuZmVHpS8k6JBGfiQdjJJdnd3+zrOzFYrCD4forEXZscHE/0yb7bobEzy+ViCUssyKCEhuBj7/dCvLRcR1iFSy2ZDjLhlHdPMi1KjGaRUIydfGxROzRKGcdsKH1PSx5TSjskP0wF+y9mxoBy8MIvfbx4EzniL8O+VvK5OqXc4dHpuueR+zhlQo5l14s5+/xOYLsP2yYFAYIIQgiiJ/WuajFW8K6UG/47WxsNNObQ2wqGWZVNPSjRumBCoZhkEl1BKgqYUtQX12LtBkFLK1HNGxEAvaB8DMCZEU7zP+aBNaY2UMShhwubnzRbNvWR2bpgH+6rRzK55F6im6Vh/qx9bLrKfpn4njOqMXE/n7JxmZIgL3Z90GXjGJ+JIcW1+2Jiwedk2Kz3Ic97ZMWft17/fmXeetQr/Xlv+pYxCMLNGPuPtkwpuHX/KOaj93Cz7m9/nQGAyDNMnBwKByUIAxHHsX9NkrOJ9mH3ea1mGWubC5o1wqNP5EHijUMsyPxjVWoFmZv9ZOYQDZJZpUOqFlVISNGNz0bb97MPqnExSNmco5yGqoBO1LEMjo5DWETFvUQRuyz41J+K9njUTHY5bHA+zp3DN3rMzN/NuZ70HWSt9mFQzm+NiwqH7nJo1753a4jCfGZxxszPIIT+HXI6HYr8ySOI/Z8eCCYiCeO83B4EoCP9eyQ/d0pZa1p5VHrAOCcq9I96E2c+3EzcwGcI+74HA7EMIQVyK/WuajFW8D7rPu1RmizQz886gbYIYJ2wXdfadSzObZdaCG1HLUoZqRmdmluuwcI4Y0VLPbObDsg/ah1VpjWqWgTZcqLnwjqh5pNWBxlFNU79N0qzDhMB+ltklKK5Pmd124FKiZhMdigk4G4bZU9jNvM+SM6SaW/O+P+ZohW64JKOMTm5pCbdJJM3SnPa2OCyxSO1e8oLLtutbp6M5JinjXgjnGSRrvLNjznjL0gmpVN9OAM64F/4Hfa+emYixGs06zrxnnJkoAOuQrmdmq836nDk+A5Mn7PMeCMwBdqs495omM7VVnBOwtSwDTVku27wJIa9TOrczmb1wzgm3r3Y+nLyWZTOTIGpUUsZQo5kV72ZZBLMDnVkPyz5oKxdvtw0KraWdVTLvzVv0RMpYmyOimmVz40hybSHsGnJT9tkdQFfT1AhRaexmf8zOrEG3JZJK5WbejaNh2o7UlLGWnR26LTUYd9/pyiCYabci43heVdMUnHIoKTvW+7C233QOG8FEm3hv0PaZ50FgGYOU7eJ9kKz9q6urJorLltFd62qW9SXeXfZ4J/yrWdbTQemWSFQzioy3b0/XoMxn5/eTEIzPzXaogekRtooLBGYfQoA4jvxrmsyMeG9QioZ94LWseRcS9dR4sZ3InVaI5Dho0KZIb6TNcHKWMn8t5lEAFnECwEUTCGGdFA1Tx1mPMlhaWur6GZfStxO1WxxyO/M+T6LXkV+6orVsiSKY9dl3Ls0soUtmppVGavuOaQvOTriIjYYNm3d2M05nVi9b7sS+cy5wCWmjhKrZdGa6HdUsRZrZe41y7Kdpx+fCOIWTd84Jk1i1k5Aeh83tp6mZMbbJGIv1Pqxt6/ZtVIERrAXxbp0nw5AyBp6ZhHvFvpEO4GxZWlpCNU0hhTDLTez1b9gt2w5ir9GAYCa6YLfRQO0A0d9gzaUKWYe17G4HANdfuuND2HzgIAbtkwOBwBQ4Kgnr+t3KxiV3cUKnnmZ2HZqGoNwLvHpO4C8ClHMfUVCnFLRhBYfWzRnp3Kz8rAunXrjoCSdwBeVQys6822swqwILALa3t7t+5tqpRilYSqGUhOQSjTTzzplZXxbgqNOs2U4N54jgXlBWs2ymnWfVNDX2lFqxKSSyeob9NDUZ3Wes7EYYp8gaGZRQXhxUMzo2m+lly0Wc061GzTIEJRQamXG2FfujSV1bs8yo2V+6pKadQufH2Z9U09TmhbBLSzr0Xw12uLuGSKWMqHZLGChtnxXvsB57GKouSSE31zvvQE5Z+8xz3+fNUrNm3y7BcDPm/Ypux/b2tnVkmNludx36XWK3n6Z2e0Yj/OuUgnHR9bsmn4kR45RxpLl2pZyDU25n3rl/Zose5wsEHIP0yYFAYDoQQpCUEv+aJlPf590J9/yLNtzMuwZnwmZebz1mXsRQN1xmcj+7TjM/GAWMeG9k1Ds1fFj9HM7A12mrEyKrm5l3rc2sWT6qwrXtrDkqzp071/F9N/vmHE9u5l1wAdqg/vO882VWl35QzlHN2RzLmo6I1Aq24jr+WVrS4Rx71czYmBRGvDvnn3MS5Zlm+SnnXqg7R4m0kUZeMOfud8oPJzFbN1vuhLPrmk1eKIVE1mjafJ6UTSa3QC3LTA6GlEK7KBfrJMvfW0rrnlt/jYJfWpJSaKn9LgHFGWpzTQ7vWeX6E5MzRKOWZm0z/p3WYw/zO37HBhvenncSGAfBcL+xn2ZglEPZfBSu/DWagQred9+/efasibgQpo/at5FBdUr7msGvZqkPc3fOPSE6J2Ss0wwZNUn23PXPcvfjXtrwOwBILlFnFNQ6KDLKZjrnRmD6DNInBwKB6RHFkX8NCiHkpwghnyGE/CUh5NcJIcft+y8ihDxCCPkr++8LDyzH4EXvn4Nm3t26xTbxnlLwzAy68oPv9tfszaT1QyeHRT0z9TbZ5jV4xkDTppjNi9t5qbPZ9i/zgrCeNdvX1ZOlFFmX9p0lOnnG67moiTqlaGQUNGUANJRstdtmhEW7gJwF8hmSnUinqU0ayQVoPWtZ1uISVs3Kek4XxeKSH9KUQkkTNu+iWFy9nOOP8umtR80nqaxlGZjN8SGt06fm26LZx40Sqpyn31melDWjf7K6W9KjfPmKAt70VeO9nq5MVXfNnHDOXct8eQbZN3wQ8jkuXG4Wl1shL9QadPgZ6iLcrnF3YfNSmC1F9+17gOlzqRh9trdqxayLXnHinQnhE7v12latG3VqzsOteE8zU37jDKFgA2xFeO3GDZuLQfrooL20gQZj4KJ9nX4e93tCCC/83RamnZas7DVSsJRBCoWUMr+Wfa/RQMoY9tPMtIktSz2j9nizBG4/DeI90J0w8x4IzD5k9IR1HwDwoNb6ywH8bwBvse/fBvCNWusvA/BqAP/fQSca67y/7iIyldbIcnul5l+pnYVySWTcDCZLKepLFOUkQRRFiAmx5wKWSiWUprznXj8orUE59yGHRUFLG2Z2S2sNmjEv/lbKZSRxDKU1ElvP5XJ5pusslfKzM20Ct0EhhZlRZIVlEUkUQWuNOIpQKSVYrczGWrD8zglmD/RmPoIWp5PN1SBFM+lgnVJUSgkiEkGoEqTSWK1UZqb9nIh19Wm01EVDcumjCNYqFZSTBIQQLJUUGpRiuVRCpY8om3GWv5oT5y7ZnhSqRWzWbVnjiEBDg3IBKgSOr6xMtLxuV42i7WipIKWxG1efUpyYeyFJkDKGJI6wPuL6yH52AXFRAS0iVShopZsRJTRDpVRCTAgqpRIalCEeMEnpQOUWzTwSzZwM2oglG62wWqkgiWOslMsmDHoMkRX7aYr9vNNFNncJqGUZqpUKIhIhIgQZ577PHpV83X1i05wjJYkiMCmRjRDSDuSjLUz0ihLKX9/9NEUcRcgYg0wGGz4orbFvIwUE45DWwbmfZVipNNurlmU4vb7e81xSKdQbDdS0hpQSsYytE8MsXeB2hvzY8nKXOtplNEJCwDgrpHWeVTPjII/sGKNhlyZwu9SLpkbkU2ZyLVDrKBBM+GgfljGzW4eQ4JRjr9HAydXVqfaTgdll0J2ZAoHA5HEJ6zwDBtFqrX8v9+dHALzCvv/x3PufArBMCKlorbvO1hz49CWEPADgv+XeejKAfwbgOIB/CGDLvv/DWuv35b/baZ93JsyAuZN4TxnzDz3BzKBLcumFbX2lXbxLrSGVQiVJUCmV/AN31nD1bhPvuaUCRrybenMratOMop4T725wrLSe2TpTzkGFaBPvNeekyBgEFwC0qWdqRH29YsQ7ACRxjAo15llOpu+ccfuwMmHCJTPe2n5O4DhB4QamNDV2W0mceDdOizqlWF9aGqvY6YfUro/N18WJX55zoGUN20ZL1NhcFEFICWqXf0xrUNopeqeRC0N3Oxq4pHXLpRIS2/lSLsCkhFRqYu2QT27o/03dzLtuDfPPMlQSI955kqDBmL8/RuGgPYVdZJDLfVCjzeupZHOHiHpGsVQqI46I6dM5BxlTX8Rt6LYvkxXOzrmU1Y3gXLHi3TlIUm62cFupVA6lHPXc7/uwea0h7T3iHAgxISDEXJf4MNaf5xwpaWbWUmvXFlZcJnEEJuRIM+8pYyb8P02RNjIoKVtE9mqlgjiKQIWA1BopY1ju8JzvhAtNr2ZmS1RYR1Aty7BvnS2Cd5757nSupePHUb9xw2T7j4R3LjSY2bVlP02xubHRdm9Xswz7qXNOKP8eAEhhcjzsNRpYKZd9jgEj3k10DEtN+DynHHtpimUhvENC2aUlNKX+nmYZ89ERZ4J4D3Qg7PMeCMwBNmGdZ7RH+3eiVVs7vhXAx3oJd6AP8a61vgzgIQAghMQArgH4dQCvBfAOrfXbu303703kUoI7AZsT73kR6wbdtGG2WAEAKQVYakLIaUpRt4PZvHhXSkFICaEUynGMUpLMjKAt1rtNvDMbbZBSn90bgBe1tEFRr7SLd631zNWZCQEuhZ/R7DTzntXtdmrKRGU4JwVNKWqVrEW8mzoDSyXjnCnbtp8GX3z0UVy87z4vUvJ26wbUWT0Dz4zdKqG8LddWmyJMKIWIALXM3HrLpdJU2q7oTMoLykbWnHkHAGVng2lKUVtuFe9cCpTjGJVSYoXc5EQwE9yHJeeTO2YNu0e9jWJhLopljWLJll1pgNsQ4KqdoRt3G6Q5h2W+vObeNyJQ29nURpqhvuycPgQsJ94HEUyduHLlCh544IG2911ElLNtt9yllhqR6pNppgyN1Ij6SqkEQgjKsbnf4yg6VLEMtEaGuOiKNGteM8ldXpQMq5mJaJFKIWUUzC6nGLU8LtrG7Yrh2o9Tt7SkGZ1iBK6xpYwxEEJQp9lQUUTud50wdUsYjG2jJa9GEsf+njTXa7DfzC9JcI4JKRS0bEYR7VvHBPX3TnqgLZrlU611cGv2nbBdKpXQoBRKmH3R99O046y5c8rspym2btzwuS2iiKBhZ/Ub1DiH3e85h4NUCtQKbec0k9LYdCPNEEWRyTlhzy+khNTaH88oh5YaLDPXhdtEd4xz7GcmcZ606+9pyvxMPctMfoT9LEMpSSYe6ROYfbr1yYFAYHYgAP7of/wPfODXfx0A8JP//J+fbjuGkN8HcLbD139Ea/2b9pgfASAA/HLhu88A8DYAX3dQWQYNm78E4PNa6yv9zLBEUQTKOaRSYH2IdydWacN4zgmJIKX0g2+aUsSlBEkc+YG2E+/cClkexyhJiSSKkMTxVGZslRPWUrbVu1PYvKmbDbOzM7Muyz5tUKTLZR96mRfvs1BnV1cuBZiQXrxnnCPlJiOvWyvt6mP2+BUACDhr1rOx1FwKUE4SX2fnnOG2jqUkmVgdnfOltLTkEyEV7dbXLaXgds2vG7TR1DhnaqWSmUFVCjEhKMVGlAkpUSmVULbOinGLX+dgcTN0Tqw1co4ImlJk9da8EyxlyOoZ6qtLPmxelEoQUiKJjPNIKo1SHI/VydLJCdg1AkJpLzZp3QzWl0olJHFsRJ8y4r6WZYgIQSVJxuJI6RZ1U7NRDlk9A7XXWkltr3+G2kqGchyD2LKllKKUJH5d97BRN+sdQpJdtEw+H0d+dpmlDFo5Zwj1otHZQimOkXGOmBDUaGaXvYw2y+gcNCnjPkGcjwSoZ35plZTKXK+MYrVsRCyXRgQym5l+rTK8Q4Hl7vn8rHtm+21oDWVnW13YPMnNvBNCsJ9mKMXGATno7+adPftZM7Gp1hqMMtTTDNVlIz6VUqb/teuwkyg+sB3MGnaGBmXYzzK/Y4OPtsjNkLuoAso5ZBxjP82wXK5gpdzZcUftc8CFntfsdTORV8Z56yJiGswsG3Pi2dk9IcTfr/nrwaPIOIK1NstNrE0yxo0TgFLsNRo+skYqBWZD3PfT1HxXKigAWT1DUkqgbGTMXpqC26gcd92Nw0HZvCaAsInuKkliEjrarRQFFyaCkNolFfa4vUYDZfvcmqVlU4Hp06lPDgQCswUhBF//rd+Kr//WbwUArO3u3i4eo7X+2gPO8RoALwVwSefWlhNC7oGZGH+V1vrzB5VlUPH+bQB+Jff36wkhrwLwUQA/qLXeyR+sYcKDpRXXrId498LdzkALLkBIBK2teM8YaMqQlEuoxxEI+hXvEZIoNqH2UTS22TWplH8JFwlgBWe+3szWuWO9bRgoIQScCS/+yo0yYvugd04TqRSWSqWp1NnX085McCEglOwq3uuUop42RZVLzkUIgWDCi4Hychl1G5IilELklgjYQVelVDLiXUqU4ggRibzgPaw6KjtIVEpBKAkuFbgQ4HbGJ8stCXCC1+dpSBk4M4N1pXJOpwZFvWyE1rJSvp0Ak6+BS+lFr/sstm13WPVxURp5R0vGecvMez76hWU0VxfV4lhz0S/CzlrF1qGilEI5SUCFaHFGjFqPZvmb7eGcKE50+LXZabMtHIwyK7QoamXjRFFK+URwdUqNI6VUOjQnGLf3v1DN8lLOW8SHixKgDdqM2LBhubRh7hknXniSIOMcUmsfVuzsZtCyJlZAuuuadzDmr6crZ1bP7Cy3+T7Nms4QFxlQimNkdua9mlG7RKTp2On3/iw6A/MOJr8GP7UJ9NzSqpxzqWbD5oVNpuicEftZBql1306y4rUpind3XXjOgeAiJqrlMqKCeK9lGUpxjOVyCaXYOCY7XZNOv+uWstRcP5qaGWoAzXqvZl6gcmnu7f00RRJFWJIS5dg8D9xvKhexZvttt/ylua7eJBLVueiVemrC20txDM6FXcOeYqVchpAS5SQGAfFiW9h+O2/z+1nazJ+gNTg1URzVUgn1zDglGszMxkeEgOZsRygJyoVvz0wI66RTUJJ48c4ph5TKz3ZraEQkgtLGseHFe0qhlEYE03aqbHKVNDKTAV9Ik1fAbV+bdzhEceS3KKRJYiIApISWGkoqv22c1iahYq1hliKUk6ZDerlcHimCJrA4JAM49QKBwHQgwEg5bAghLwHwJgBfo7Vu5N4/DuC3AbxZa/0/+zlX3z0GIaQM4GVoZsf7BQA/BqPRfwzAT8PE8Hu2bt3CVz3nOYiTBFJKvPTlL8ffee1rsXf7NpAkoFKCNxpgUYy40cCKYNhnAvecXgO7+wRWVy7i3nufhCpTOFmJUZEcspEhEgwp59CNBqhSEKdOQezvo1QuY31jA429PRzb2IAWAoxmOHf+Hty6fh1LS0vY2NjA9tYWTp85g6zRQJqmuPfee3HlyhWsrKxgdXUVW1tb2NzcxO7uLiiluHjxIq5cuYLV1VVUKhXc3t7G5uYmtre3QRnD3efvxuNXH8fy6ipIFGFvdxcbp05hZ3sbQkosb2xg9/ZtwA5ysnodtFyGqtaQUA5FKU4txUhXy7jvvrM4duxJuHWb4ezGEspQ0ClFAuMEaKQpOIDVkyexV62iXKlgdW0NabWKjRMnICiFYNTXeXllBWurq7hjy7y/vw9m63T1scewurqKpaUlbG9v49y5c9je3gZjDBee9CQ8duUK1tbXEcUxdu7cwea5c9i6dRNCKpy+6y5cf+IJLK+umtmJahVrJ09i9/ZtSK1BlpdR39mBSGJklCFpZBApw4kSAU6u4PbxVTz44N1IKcGxSox1IsEbGYjkoJUyxNISxM4O+MYG9qQEhMCpzU1Ub9/G8soKVldXsL+zi9N33YVGrQZOKe65cAFPXLuG1dVVLC8v4872Ns6eO4edO3fAGPPtuL6+jjiOcWdnB2fPncPWrVuQUuKus2dx7do1rK6t2TrtY+P0GWzfuoXq3h5OnL8be7e3gUoFjDHQNEUjilGq1rAkOCIp8bT77oJs7OPEieO4cGYdlDIs0QzY02gIASUlkpUV8GoV+1rj5F13oX7nDpaWl7G2tobq7i5Onzlj6sQYLly4gGuPP461tTUsLy/7dsrX6dFHH8X6sWOmTnfu4Ny5c7hl63T67Flcv3YNy6urUFqjur+PY6dOYfvWLUitES0vo7azAxHHSClF3MggUopTSwn0+RNo7BzH07/kSUApRkUJlBt1ZEmEpFYDK5UQVSqgd+5AnjwJCAHNOTbvvht3bt3E8vIK1tbWsHvnDu666y5U9/d9ma8+9hhW19awVKlg27aTs717LlzAY1euYHVtDVEcYWdnF6fuugvbW1vgQmD95EncvnkTUaUCLgQa9Tp4pQyxu484Y9CM4fzpVTTOnUAcAxfPboBRhkragIRCXSlwxhAtLQFK4YmdHWzefTeq29tYXlrCsY0N7N25g1OnTyNrNECzDBee9CQ8fvUqVldWsLq2htu5PiLNMtxz4QKuPvYYlldWkJTL2LlzB8dPncLOnTugjOHY6dO4feM6UCqDSYm0VkOdREjqDaxDISHAV3zFfdjdT7FeibGmBHg9RcoodLkMtrYGWq2itLyMG1kGwjnO3n037ty6hUq5jJO2TU+dOgXKGBr1Oi5evIjHHnsMS5UK1jc2cOvmTZw6dQpf+MIXcGNrC5t3340nrl5FUqkgLpexe+cOSmtrqO/vI8sypOUyor19lBjDUkzw4DPuwaOP3sLmxjJWlQBvpMgYhV5eRpIkYI0GkvV1PPHYY9hOEtx19ix2t7ZwbGMDMSGoVqu45/x53LhxA1EU4YztQzY2NsCFQLVaxdnz53Ht6lVESYyl1TVsb20hWVlGI82Q1utIy2XE+/tYkgLLpQjP/PKL2KlmWIuBcqOBeqWEqFpFWqlAEALZaGAvSUB3d0GkxN333IOtGzewtraKpcoSdnZ2cPbsWd9O58+fx9XHH8fK6ipACHZ3d7F+8iTu3L4NLgTU8jKqt2+DS4WYUpw/uYrt1SU85eJpHEs0RK0BKjj2KAXRGrpeR7a+jmtXrmBvZRknT53G/vY2Tp48CcYY0kYD5+85j2uPX0O5UsHK2hpu37qFtePHUatW0UhTlDc2cOfmTWRaQzYyHI+B9bUKNk+u4q5jS+D1FGxbY385hY4iJNUqMq1x49o13Iki3H3+PO7cvIm19XUkSYL9vT2cvusubN++DSEljp08iVs3boCUy8g4R21/H4xJbMTAvfecxI2tfZwsR1DVOhpaIZYSSmpUUoFtQhBLiWx/H8dPnIDkHFnawOmz53DziScQJTGiyhJ2t7fBSyVk+/tY5hRxBDztyXehVIqgag1QziCjGEuCg9+5g92lJexcv46V1RWUSmXU9/exeuIE9nd3kWUZxPIy9N4eyoLj5MYKjh9bhmYMZHcfFSFBhQS/cwfbWqNeKkFkKVZOnMT+7dtgUqKuFFYlx/G1CpI4wpoWSKnG8RIQVWvYK5dQoxTR0hLSLEO8VwVRChfPbiAuR8ikxjpRYPs1KAKUGykipfCkzWPgyix/2VivQFTL2FiKkexXsb+yBL6zg/raGlZXVsAadWyePYfa3h60lH4csm7baWdnB+fPn8fNmzehlDK2efUqNjY2AAB7e3vm+XDtGqIowubmJq5du4YTJ05A2PvJPfPK5TJOnTqF69ev49SpU8iyDHXbR1y5cgWVSgXHjx/HzZs3cebMGdTrdTQaDf95P2OjTuOI/DM31Kl7nYQQ2NnZWag6LWI7hTr1rtOiQwjxOZOG5J0AKgA+YCdiP6K1/kcAXg/gqQD+GSHkn9ljv05rfatrWbplhO9Q6JcDeJ3Wui0WnxByL4D3aq0fzL//Rx/+sN58ylNaZt7drIALp3OzlmktRWO/geqdKrav3cYTX3gCd+5cx9raCdx93wWcvuc0Nk5vYHVjFctrS6isLqFSKWOlUsZSqexDXt367+YMC0ES2dlZu1Y+jiKT8t/+GxH4mfxuywG01tDQUNr8X2ntQ/mUVpBK95x551L6mbcGY8iomTHJailqu3Xsbu1i6+oWnvjiVVDawJnN8zj35LM4cfYk1k+uY2V9BZWVCpZWl7BcLmOlbOpctiHXJTtra2bioq51NvUlvt5As+4AoGHswS5J93V1M5X5uuZnc/3Me8usqAmXzGz71ndr2Lu9j62rW7j2+ceRpvs4s3keZ598FqfOnTL1PLaMynIFpaUyVisVrNrs5m7Nu5+htjPvJTuj5BJENduU+LaMCk1arJvOtWUxksO1Y6Neh4rjlrq5Nfz1vTpqOzXs3LiDJz5/HVvXr6NSWcHdT74bZ550FzbObGBtYw3La0soLZVRThJfN5d0sGRnT13bOdsl6Nx2rl4qd/sW7VJrDWlnMp1dciFaZ1pz67Ab9RSNamruwevbuPGFG7h9/SaWl1dx91PP48yFM9g4s4GVYytYXltGxc5iL5fLOLa8jKVSybdTsR4u+3anenQqf6/2yOdVyBhDnZnlJw1rY7u39nDzyk1c//x1SClw9t5z2Lx3Eyc2T2DtxBqW15axslSx9kKwsbyCtaUl3xZu5j2J4452VaRTmZ3duNlHVph5r2YZGrUUtZ0qdm7u4sajN3DzizeRlBOce8o5bF7ctHaziuWVJVRKJSg7c3x8dRVrS0smX0JuJjkp9Gsd+zCtUavVUF5ebimjD5sXAqkL6W+kqO3UsHc7dz2FxNn7zvrruXp8FasryygnMZgwkQCn19dxbHkJS6Wyt+t8P5TvZ93zRyoFDQ0hc1FUhaURNUqxX2+gtlNr2ufjt7G8toS77z+PM/ecwbHTx7CytozlctlHP5xeX8eptTUs2z7Tta3r9/NlcX18sf/OR4ntNRrY36li9+Yunvj8E7j9+G0srS7h3FPO4a4LZ3Ds1DGsrC6b9f8ZRbmUYHNjA8dXV7FiZ65dREq+nZz9uN81e543Z8R3anXsb+/j1mO3cP3z18FSijMXzuDsk8/h+F3HsbJm1ohnjQzl5QruPn4cx1dXsVQqoZzESKK4pa6uT3D1c0sTdup17G2ZNr/xhetQSmPz3k1sXtzE+ikzaExrKeIkxubpEzi1tuaz/Ls6uZwsLvu9C0Xf3a3i9uNbeOLz15FWGzh1/jTO3ruJtRPrPkv7+sl1nDt5AutLxu7jiEBp2CUB3J9r7/YOnnhsC7eu3ASJImxe3MTxu46bDPlSYuOu47jrxHG/5l3b3V72swy7u1VsXd3CzSs3AQCnz59GebkMJSQ2zmzg+KkNLJVL0BqopRl2t3Zx89GbqO3WsHZ8DaVyCZWVCjZOH0OUxKjv1rH1+BbSWoqknKCyXAGnHGm1gfWTx7B57yZOnj2Jk+tr2FhZwWql4p/hlVKCctJcOjXI0orAYlCr1bC2tjbtYgQCI/Hwww8/cunSpWdPuxzj4uEPfUiT081l7vr69anVd5CnxLcjFzJPCDmntb5u//xmAJ8sfkHY8OK28FFh9oiljPvs8i6cmqUmXFdrjTg2a/UEM5ldWcZQKieI4sjk7IcbhJiBQkVKiCRBWUpw+yBM7CCpKCJaBVHrIK4TbpCZF/BeIPUQfS3ivUO9qf2XU27X+RPEcWzO5eqdMiSlxJfXlcdfVxs2X45jU29b507ivVVA2bZEQUTlBLwb8Ptw8oJ4d0KlKApdxmOWmm3+aMNkmTfty209S3aPZBs6n5YRJ6Zttda+VHlHQRJFZu17D/HeqY5FinXr1I5KKzBh2nF/ZwfR+npL3fJr+GlqtjdUSiGyg2TBZdOuKxRRbOqlyqoZCppLOujCnzvZa7HtgKZTIu+MyLdVX+KdM2SM2wRgzIecCyagpF26QAiEtVnaoEjsPaiUQlIyXYgL2fW5CXIOpMQuc+lkg8V7rFd7ePGeX37DmckbkRZyKnABQoAoiiHtdk2u/JH1nEaxsZ9GbJKKubLnBbFrg/zSjKLgMm3Qfs17hc03l8swW14JEplrInlzyUWpnAARgbS5MGSSoESpL68TZd3spWnvzWt76+ZNnDh7tqW9/C4guWUULpGey65trmfk1/Q6WyCEgJcSaBiBVfflU/5a5h0hRQeIb+9cW3PZ6ghssNa8GSY0WiKKzbl4zj7jODLntDkPGoyinCXGiVxK2pxjxb4v3785p6tbKmPWbJtM9yyj5h6x9iSYsMu7KEhs+l7JBRjM0ozE9usl7zxo3gd550/eEeqcBi73AG1Qv1wAEYG0GedpgyKKCEgcQUoFYUW/W0JQSpIW54lzxAqp2tb0N/POCFu+5q4v5UYZsmTEMWy9KknilyS4e9wtPfLineWW5NgtKAkhJjN7xlCya9ddyHk1y0Bgloa4+83tbpEyE8IfU7PO3CGY2VbWwTMT1q6U8jsQUCF8OXhun3rBhG9HlnGkjQxCKZ+s020J6MocxeY+oCkFiSKfIBMAtDQ7ILiyOadE1shQK5llAC6Py1KpBCZLKMeiZdLhsJdPBWabmzdvBvEeCMw4xbB53v3QsdOXeCeErAJ4EYDvyb39LwkhD8GEzT9a+AxAc827e4g74UA5B2PcC1P/ogyMcki7tiyx28JJIcEzK2LLCaIkbg7+lZGabtBTUQrcrsF1A8ZuA3GzBrBVuHebWQPaZ9+9wMiJjOKMdLd6O5HE0ubWeCZrboQoSqCVWSvHUga2xJCUYhDifRbQS07cKJMIqeCwKNa5k8MCaBfuzbbTHcV7XpwopcALjgoquFlDyTg4ZU1ha0UsZwJKKCveE7smkINRczwtxSBRBNjBnWvbSpJ4kesS1yVxDNang6K9TeHbtJMTJt+OzOYqUIwZEeacL/l62TWOsE4nl2xRuNwFjcTUC4DWQAP5dafWAWOjJw5yNhk77VyXbuJXSOnbqphAkdJWRwTLqF+vGcclECcSqLlHS6nJ2K6VhrYDVjdgzycW9KLtACeEt7khyp/Z7SXd/URtoigpldnSQxoR4fqaUqWE2K47TZIYyjrFAByaeBcF+yk6LdOMeqcdyxi43WIqTmJEsbEb72xISyBRBC0VSBxBA34bMFEqgYu453XO92Hu2rrZy17i3dkDtf2yFAokihDBZB93du1tQSogIlBxjJSxZjJG1w8X+qLWe1G39SutDiYTwdO0T2ZyBCiNKI6NiOXSOBqyCuIkglLa9pcEGeOox0YcMuvkdI7NfNSV6/Py939xzbt3cqUULOPQSiOKInOPcOHzFZAoQpzE3j4ajHkBmV93n3fGqlzfw1yb5Jw9vp+xjpQ4jo3YzYytxElkbEUZp1uDMb8rhOtb8mve845XvzuIE7aUQXAJRAQR4G3SrQ1XSiEBQBlHvUS9eHfr6pu5C8wzwTnYXN8CAFFindQZBy0b54PJ3G8EdkQImJQtjk4mpRffMTfJ4Yi9jkIIcMq840QwgTQzdu4cJ1xIuxsF9c5ywEw0RLz5PZqa5Hlaa+8scg4Htx2ckiarPImIceQoBa00FFEQQvjks67/oQ2KhnV2uf6C26icsotYiqKWyLJ8VE2cewUWC2crgUBgdiGEoJTrf2devGut6wBOFd77jgO/SAjS3My7m4HmjINn3A9Q3cyzE0BSOnFXAiGxnZ3l/pjYZmAmUXPGQpUVhIybsz1uEG5FRF7gdZt1zw8qi2GdnQS8DyXPCfjiLGdT/AlTh9xsenMgagfwSiGKEiSJ+S3BhblWlBtRGxcGe3aAWSkp8DhCKU58nV2yOldnN6gq1jtf11zbmn8PiDLI19W1LRMCnAsbLWGSDJptc5oCVymFOE6aSeu4HRimDLF12Dj70XYGTciCYyYvckn7UohBIwuK9cvPnAopwcplUEp93ZrCnfo2bDqdSojjCFpqb7eMcr8/pJsRBIwNVZSCsDbb4njp0nZA76UA3dpK+FlNkwyMCQGeGYeZE76cGgeLKDjQXNZkljKUyiVEceRtMB/63FG8d2ifXnbnyp8P7W0RUy6ZWc5BlO9H8lEDPoSXC+N4yJriXZUTJLl1Bx3Fe6ENiuXO9w+uP+g1884Y9wKP2e343AydE+9aKt9HsoqJCtBKGaGqNFyWE2mdPp2uc9EZmQ/tj1ZWuop3f02tWHSORaWMc0FJcz25v/bGuaOsYNQlhYadwfQ7NeS29ywumci3uQI6XreM85YIHkYZhBDNa2YdvCwzx0WxcSyR2AhoyrjPxF4plcByz4SiDFLoIN6laEZM+f6M+4zvUWJnm+2sMc0YSBShVE5A3JZxlPkkj06k5W0qb0PuPmUuwoc2I7QYZVBCmrrZ/oszW++IIHYRWpFARo3tKKVQktJff3fdtWsjl2TUOvFYlo8iiqCJtg4b87z2mQsBk8gujiCVBo+bTnV377plcs22M9eNWOc5nJM6Y74t3d/1iIAJYRJM2mvDXCb3jIE2OLR9hpCIQAkJRjmSUgIdm2R4tBFDSwVm+ys3O89s5Ia7Hspu8YaSieKgaQwplHcucMb99qZOpAsuQTJzjTkT3pGp8v/aa5GffMgvK1gul71DqZQkJpKGd3bCtyahhXcq9lrSE5gPzp8/P+0iBAKBPhglYd1hMtbFVUrKZti8lBDCzEQKLrwQZ6kZjDlxJ7kbeMcolWyWdW22gnED2jg2g1wzqNVmqx6lIUuxCRlMzMOP50N3c2HkftYdaBtM9lzzXhhoFoVSccatWG/OuF8CwHN1drPRgBF+hBA/iJdcglGGuBR7MWLKYwYHqpxASoUkiZHEJow2LmRhb1vjn6tntwe+n6nDAQJXSQjpZkQlhDDiVljB6gQVy0zd3aA7iiOUUPaDS+lEccZ8+KKrqFIasmxm3ksDiNx8PTu1Z75uRSdMceaU7FdBy+Vm3dwOCBmDYBxCSCilAUK8CANgHBNWwMdJ3FYeN1jPZ5uPIrscwNpmp3p1bLMubeXt0objCinBuTAzhbTpRDMzeDZLsg0HjkuJn0GU1o5ZyhBFreILgHWgNQVw0bnSyQnRqV162Vq+/C0OIitsXAQLAMSl2AsN53ww/UdzFwOdm/FwbZHPNt+pDTraUk68K63bss1zIX2Eib8nnLNSFMS7NmHK3IpFN9gvlUs5x5oVXvmw+T7Fe7q9jfjEiTbxLtzyAueQcteTuyiMqLkDhFBgGUdSZr4fTkqJn53Ml68kZV/ivdN955yebc4Z21/Gpdg7kqQVb1Fi2j0uJSZiISco8+1LCEFcdCAht5tGLnydu1l1txsKa4rQpJQYZ511ErlnlNbaOxKiKEKDEIhS07lVFO/5yI28o7sZneYiYszyBff0ztc7Udr3PTxp7mCQCOGXr5h6NpebufvJO5StQ0lrbe59paE1wJlAYrPrx3EMEGPTNCJmO7m4OSvs+x7fZ5jZfJ5ZwR0RRIntI+0zA1pDJ7GNYKC2DnmbM89SJ4TXSwS3lW4645RunU23y0/M7zXFe35ZkLv8Smkv5l2Yu7sGPHc9vGNCNJe5ALCf5/oD2XRqQmkImxk/LsUtzg2hVDOfi3V0lbzjsz13jVtu0S1/T7fcL0HYzzZXr14N+7wHAjMOIWRmtvgcq3jXduZdCukfvJILM/tsvdlePNhwQCmbgzKtK2agTWyoGjeDBZ5EiOLWAaCSGrGIoUoKshQjjmPEcavnOiZRznNN/Kso3DuFdbrfyYf15gd60s265Qaf0tZXSgVhRboTHMwKWm4HgW4W2oh04reGk1LaeouCeNd+5jORps4ijsFFLtQujhCTzg/3fD27zYDm65nfQk0W171L1SynFVUi17ZuwC14c3YiKSVQsTJr3AFIYcSVKJn2zZdF2e13lJCQVkwWRW5+EBMRM0Ttqz1zdXMDqrz4cnWLFPygz9fNCl2eEzhRFKFULvkZN+OYkC0RI/bHmw4YW6+25QBd6lVss7ygy4dH59tK5OvDjVBzNskL7eRnFKPILFPJCTYhjBPKDby10h0daKzLvVccTLpaOBfAoOX3NpblbExpL6pcPZT9ni+7FZzupZRpZ55I328MKt7z9uOFsZB++YSLvMkvszDlNY4St76dkJyzwW5L1bSZkv9NWbLiPRc27+73XuJdxhGy3My7lKrN6UatiBOM2xB0M6urtZnRVrZ/E3ZW29iCaimfKitwEaGUSG8HBO3iXWndstbchTcLIcy9Y8tCbYSSu9dIHCEpJd6R5JxLTrSWtIYuJSCsKWJ5SbaId1MWf3lb2tE5Xv0zizYjxgS3fXZEvGMVyLVbYsKsk5Ld4pOapQ5SSl8GkrsX2uwn5/D1zrWCo4dI0gzjtn2M1tpvOxVlxD8jvMM73w9awaqEbKmfiX4zvxPFEXRknwfChqkTAl0y7zHC/bniOAKJm+JdS+Wffcy+pBD22OYASNm6AmZAwgmxM9ZAZMW7icBSEG4MQBnqrozOkegEOLfi3eZWUUJ68W6uk3G+wNqQE9tKKkjS/L6MpI9sEM7mCMxSvch8R2gOreE/932x/T+x9TDXmCPOmuJdSwVRluCl1mS7xailTkt4ui2Jc/dYZwGPjglQAbT8PzB5XHbwQCAwuxTXvE+T8Yp3rcHs2jEp2sWdGzCY2R3p936N4giJ3d84ipoPb2U9+REz69xcSJqbQYtlAiUkYmEEXpRE4JEJnXQPuGaYGVoGkgc9vIoCXmrlB3te1CozWFHKCjIrGIww5X7gwfJCiUvjpbczJqVyyUQeOHFkkw9xxhFFxK+v1Fb8xSKGEgqxiBEnxmEhbPhhFDVnPJuJ3Jr1Bg6YmbaD6uKgNj/ANHU1ZXQOmpYog8wIAME4lJR+1iguxYh15MM8lXL1jH3b+rLY66tkjIhLJCUTVRHHMVgctbRtfkCer2en9uxVN2VFuxLGdhPGwaRui6BotqGxD5fAzc8sKTsQt21IvA5rOl/y9fJt16NeQPelAFqjWQdXHytOnU0KLvy96OpgwuV5y1rNKIlQQi4SxA5+nbBocyRZB5q0Apgnccu9V5wJyjdNc5KqPRKia/kLfYibkdV2Ni4pJ372EIDvhzqV3TtSSubeEwXbKs4Yd7xXcuIrbz/F6+0ib9w9A6AZ8myTjmlthIjgAhFrhv/7l1KIpYJKmveCu98PEu+EC3DSdKoWrynLXU/p+uQo8kLU5TuQVvQ1czm0ls9FBIlE+v6oKBjanKGFPsWJLef4dGUC7OxvGb6+rg+Jc9erpJsOJi9yk6hl6VXegeSWtBT7cO9wtu3mRLR/VjlnnXWERCx/TVw/phGLxJehGIHiBJ2y1zbvNHD9jLZr+aPYPAfcfSm48OH7Dgb4c7mQ9Lyjws0gt/Tbzi7d0jV775DYiND8zHYeKZRPNpoXp+76OZty/SSJCWLE1taNU4OI5vnyS0Xy11ZyG93FJRLiztV09iqpoCIFIgHBCQAGIZr24O1KmOd3y/XP2YiW2tRZWgeHbF2TrJQCBKD8eWWLcM/XA7YdnFOn0/Xh5RJoHLXv1JET78Wlfy5nQz4nRycB32m5XL4/6yTwi/dpEPqBQOCoQ2x/PAuMd08SpcBETtxJaQVsUwBJLvxgyIsGN+OnIj+A8OHVbsBpQzyB5qAxkRqqZAa1cRwhsuJBcuGT2DjxG3V4eAGdxWzbTHRuwKlygz33MDZefAlphZ8Tby4U1g1ChRA+vI642fYyvJD3sxjKDTokSMT9ez5UVSlIaaINoiTyAzWXfdjN2HcaPPeqb3Fg7craVtfcIFdYkeJm5Thzs1TaDpasKLQzdJEdgBpzUb5tfUZl977UkNZBoWTsE0K11dHOLnWLLmgJ8+5RNzfodXUrKwFOlY+U4JmZjRE8J3btLBwhACI78I2ag0Yjdoh3OjnBK0VsIhGk7Fov137dbNTfB2gVIK4uzXuneS9yKwiYTU6lpIKW2s9IJaXEDIQJ8aHmXihEHYSHdaAdZIduMF6shWsZNxOeFzPF8rt7yvclohkx4BwnibaZ8OPm4N19rzUCQrc4/yIbvp4vO8n1FQB8Hdy1bnkV7g0hmrObvrzuemuYpRYucV4u6kbbczhnQ/O+NPYaCwWZRIhiV97OZfXtY19LaQYqWq+piZwROZHMW/pkEyFT8s4QEjVFS17Q5R0hsTARQd4Z5WwmZzu+TvZa9CwTz7UxMW1MbKRClOsrBZcAaaaS0arp7HDPhajlOnlTMP2CUtahqozjNdd385yINtcl9vekdzJbAdhyTVTrs6mlnSLSakc5Ueccvvl+BlFrVIm37fxvqqZdu34zX1dTz6aTwvXbwjrRYa+xu++9+HWOFYiW3zHP9tbIMGhtnoEu8sTWwV8ropviViqoKAKI9G0hZYQoki2OK1dWKQSWV0ot19190TlWAOFtxV1jFwnljsnfIz5bvLZLD0TTdvJh8FoDRGkoJf1+nW4ckCff17kkdy4aIO/gkqUYQkgkSQyeCB9Zlk9W1ymHTT6aLh8dlE/E2C2Ja1HA98qH055vpT2nTPGz/LWNCt8NtLO3t4ezZ89OuxiBQKAHBEASzUbC0PGuedcAp7z5wM2FVsvCYME9+NysLCHw4ZpREvnBFrRZ/078NjbmPa00dElBqcQ8KOMIkZA2XJCYTMleQKBtkFsclOdxA7XiID3/0FZ2xr2TgHczGT7qwA1CZfOBH8cRdDkBkc0HX1JKfGYyF9YbiagpHNygUJmBskokCG8Xf82BKlqS3hX/defM/9/Vs8VRYQe2SjbDLt0gLT+4cmGeUjZFQDPUNfKDpDhXJieao8IA39XTDYKMU0a2tG1R5KIgMFva1NbL/WZTTBfqZttyRwhw3qybE4tOZBrBGCPRgLYD+vwaYScco4hA5K+3bNpsZBNsdasXIfDip+PNhpx4UqopgvPOCNlsq/y9KHPCCCTnSHJrhuOoKZCsLeRFsPvNRGqoRCKSth554R6RlrrkbS8/MG7O3nYvv7unTBi1bJn5IhHxkTsA7D3QnJ11s+IuPNb9pnJl7+R0iFr7iaIt5csL55Qp3Bst11s0Z/PcrLaK3BZ2OYeWC+fNbYmlpPLOHiliRLFs1rHgIGkpp7VzoQCRUn9NXThySxlFMx+AOXfso2GcE9TdO/lr6e3D9385R0hM/Mxs8frBX7/crLddpuHK1PqcaApYVyYvMKUVmKQpMJWKTVntc6HpFCu2pbNv1bz2dhbcOFxancyIddOm4+bzyIlEAIh13Np/RbadOjrAtHca5PvT/O/mQ87zz8C8sI51bN+LEUXKrs8viFXrAPZ26qJFlEm0ll9X737H1YMoEyrufkfK9kiC/PPQOWSMmIbv//P3v5vNdn87531nu1K4vZ+1XgPbfu5aaK4RSd1WJhepV3zWAebeIpq0PvNzzsS8nQCAFqrlOFee9nLZMHvrWCo6b2MujaMrNo4Wt9a/U9RgMSKrmOsin9umGCI/qoAH0EHMtx9bvA7F94rJZDsd03p8u0Ngkbhw4cK0ixAIBA6AEIJyMt45734ZaykITJbVlsFBLnzeC97cACxKIiRIoFzG4Ij4gbTPQo7mw7DpZW+KinyYoEpkb+FeGJR3eiY0nfrNQboXtm7Qb+uhbOKyYti1Gxi7QXux3jqJkQA+OZgToflQR6jm2m+BZpmUUlCxhJS2zrJYZ9JWb6DpqOgq3gv1bBlc50Suny3Lta9rcyWVF5YuuoAQ4te+w7dv66yNFAo+jtIPanWLcHdbIxF/nUibQOgp3t2/tg39bHVuAO3qdqIcoc6a0SMqJ76cHfm65e25bYcADdhEV9AaOkm88HVrs6Pc4L6l/SLiDbSjAMpfK52bQdSt9Snei9LarDtvFEVACT7Zlmu7fF1cOd3aWK01YhXbwXqMWKguDohcXcwPttxkruwtzhQ/aG8tvxN0xfK7WUa3B7gTIi0CxK1vNRNs5jdiBSmjlrKb8xTumy6Cr5MDqNO94QQ+YMOHdWyvb+5aR5Ef4WrruCOEtAgzKSPEsfKz2uhQ1qKNaK2xDoWG0P4+K9qEEq5/ghelCZKmA440o3icLfhQZVixKpUXjvnydXIs+N0X7P3h2zknnl2Z4PpGG9Xit1koOPuUUiCieb2cAMtHXxXFbPMaNaM/nCD2TkgX9k2aSeOIbtpeWxlk7rzOMRm39nfF9mmxd/ccyf9uLkw8fz2988h1m0ojUrp57Ts4RPPX3D2vHC40v1hG9xtR5J7Dzfuk7Vjv1G4+O925izPVfuaba7umXLbebIV++syxJTxBRUsZjVMWUNp8VxHVFiXj6uzKUrz+RJO295pO7MKzI/+7KAjPqNnfuWNckkNfnpLpL5NS0jJuifLiveCI75QLpVNujmKCSJI/Bu2C+TAFfP4Y9//877jvAJ2/l/+72/u9ztHt+E7iv9N3Js21a9dw//33T+W3A4FAfxBCjsbMu9Ymk2zL4MfOKGgrkhxusJ3AhOr6B2nuIeHEGgA7660QKZuMihBoZUWEHayZ/alzD70OA9z8w7XTbJWvi/fEF2bgrdDzM3fOs1+YgfcC34lD3TqIIRGByoX/+QdoTkSY37cC0IoP955WsR+o+TrnZhzzA+dWIdJ5kF/8t1jP/OyUG5T6ga5sCkKttRfoOtJGFKoIOidUjJhrirz8tc2HQLrtqopt669Th3rm7Stfp5Z6OedEl7oppSBj7YWXD3fOndsLRh01vT1uoJQX8EoDUX6QLfwsk9vyKj+4L9arl50W61IUIT4EPTdQL84oEWKTYSnSen+6JRctttgccOfLECkNFcm2pSpeLHWxvRYHhG6GX3unygHld0IzRtwaSgs7M5tLcgnn/MvZRSQjuyxDFRxCTQda7/uleb2bIr4p4Ju5G/Ii2AjASJG82fh7Jn9dnc3k73e3/7vvL+x3mo45X11/HpEAnLXbhLt/nQMrLxQVUV7U5H/LC3ilbNRQM9lhXji2O0Ba78eWPrVQJtfvaONN8GUihPhkavn+3J0vf71MeZoO3KKYzbelE7V5B1hegLoL68Rt3sHVIsyItqLbXBNFjCPDrSfvpBPc86XV7gu/GwGE5Gffmw3dUu9Y+zD1Xk4T59xzz08/I06aCdfyZfV1U3aWmmiQCJCy3auVP6cP+ycEZj+CnI1q7ZcvuSUZkO2O5Xyf7c/Xdg3tubWGhgZROft39pZ3TOfe7/j/wrO/2/H569vp+er6fv9Ms78fW1uPXO6KmOSWwjQjajot5em0DDAfKt9peaD/F62ivCjQCSE9RX7+b+DgGfhRBHw3Qd/rHJ2+18/n+dvEnbPb9/o5dz+fRTMiCAKBQHcIjkjCOrd1ixtsay9gdYv4iSIC2HWUJFKtAghoCjI7YHKzUl7oKQWlbGeYH6zZmUMzK9Q6+9aPmMjTSVgU17u6wXrLjEMhBLs5BnPh3RFIifiHd9GDH+Ue0s2ZOCsAXditvV7KDk4jpf2MQ+vsLWkb1B8kRtzvFesJ3WnJQC68sOiEsG0caZc5uIswjIsCsX2mx7Wtm/3tJg5aB1NoqVO+Xu53etVtT5CmCM7Vzc++SdImGFucQy2zXjnRKwCtmjPvxXq1hpr3ttOOQkjpjjbpftPV19cniQGlWsSkv34dytIyMLeCwQgV0rRDggOXa3QqPwC/Frql/Fo3Z/IKdhbHMXTU+lmrHbbOJjqHDVHKl931M67snYSe63vy58mLvrw95UPpWxwKHURoW3njQrSRUogQQUJ6myFStdqau74dxBoA7HNAyFyfVRCJeaFICFqcT758hVlFwCbxQoQIZts3X76IeMGKZvEKbd9FnBWumxOV+SUc/n177qJtQpqZWCegW/vBLjbYQ9j670UA0WhfxlK8NyRAlAKJ0CKm821dFIWuD1Ud7Fy7n8i1U7H8TliburaXDb6eze8V7xlvR2j/HSey/XVXHRoVhXs551wsnM6XyRzfLoZaymXvsd0aazl3y6nQ+ne+PJ3+bfsNoEW096JTf1zs+3NFt8+XwhIBaft+H0nTjFjJR2G1CHc/NrDt0OFZ31O8W7HdLfdPp11bWoV3u9DPfzd/bbq9B7SK76JYbz2u9/fdOTp9p9hOB4v69nN2O0fv83R+v/gbx06cQIPSHsd2P0+vY/v5PBAI9Ak5IgnrIoKWwWvrYNoMAGPEUIQ0BYPdH7dIUQS1iYjcbIAZPtpBfqT9ICMfQtdtBrqXmHX/Lw5I8mKvNdlWcxBaFKuRjqBtvaF0y9ro1vK01jkvPlpnNCIvQPKDZl/vwqC+0wOgeN2Ldew1wPZiMFfXfJk1ISDuuqkOo6Fiu+YHPMW21U3houyxbbNZXQRM/py2kv6fYt3yA/eN9RIalOfqZtsRkRdfxQFhiyMhV6/8pc8Lsk71arXR1roVGqvlvx3rUhAEHmJm8wC7VIUQIG4fzLbWoVmPTu0DQlpn/VrEW2cRp32T5ER8h/I7Wyv2J3nnV3EwDxQEZ04UuGvuRF5b2bsIvdayFwSKL3+78HMFJtCIk8i3V/Fa+2uUKysAf50RaUitQVSHfqyH3Z9YLeFWxtuuaYtIjAhgupUWgaoLs7AgrX2JF6sEvnxuBvWgPqcoXPNlamnrqOnczQ+s8/XPn1NrEwrtBHTzwnYX73lx29Z2+fJ3eM+UsbWPJoTYyAWdO6b1uzo3kdzyjGl7dtrr1mFAbxy78L8JdBfWxTp3vXe6XSPVKpKLfXbb8eaPTv8tFqj53w4i3J3v5HoFj2/xtvc7n7Lzs63ts7ZQ+s7f6dUXdHp2589BCs7bKELzuS3bowRborByOS06LRXLi3pCnJOpfczkdlnIC/r8/wG0CPzm353Fe3Eb04HEe+G69Rs230ls9zv73kkMH5Z471do53/j8cev4sK993X9Xi9BPqh4L/42cHA/2u95+/neIMcFArMEwRFKWNdp4EHsjHNEtA25I4hU63ZDnWgRMoWBeNu6N4m2wW1eeDQHlC0/0L0yHcSRL28XgVEcDGtp94kF8VEB+dnabgPE/HVrqXNhUACgY71br3vvjr9YjuKArlc9O4mTToKqZz3zszkFkQvkZ5SaQssNTov20en8bYO4Qpm61a1ORfO8CtCwg67CeYsD3+I179Z2nepVFD29Bowtdeo06O/QVlrrtvogas64dxus+v/m7qlO9UBkh96FNhq0DgcJKWJGqYAdGANoH50UCt9T5BXKXgzfPajM+fLmz90mjAmxIqt98NRSN7Tbc/46a+g2UQqJrtQyQEnZUr58Of1v58rpPnenb7GHYt/rjs2JVSfCioI1T6fy5P9t+a3OEdMtx3QSbM31zK0OtmL5u/2/pT9XuqtduKU9nc7hv9OlDl3LoDrfj51+G3B20e6U7XRsp9/Lvdm9nPl+TOoDju9yjj4plnW/TnuK8l7vdzyuk1M5x0F9QMvHUeHZ29Lf2+5KaShrBEQbEV6MWNFKQxHphXyrQG/2fV3zipD2sU83YZ8va34LxaKoLwrx5v9bhX6x7l1D4QvXdyjx3uUcXY8/8PNmU05CvCfLy6j3OfPe6/cO+s1Ovw3Minhve6vjc3EQ4d9vGQc9R6/jA4sLIUckYZ3DDN6aDzcTAp4b1BZFXa8HeqFjzIujtoGYAogdhLfOfnQffB5EJ7Hn/y2IjCI+AZjWplOK3HcP/t28YHLl75RMCAB0buZL57+jWq/dgXXtNIjsIkxazhuhOeh3ddW6Zfaua/0KdQTa26dYTyde8nXtR3B1nRHqULeWh3le1LgBeaGO3SrXc9BdbD+g2YYdztXlJG31aDl3oa3yAt6fO1+nDhx07+SFsCtyP+Kt5Rwdyt61HnlB1+cDtZNNuetRFHl58dlX2buIr06/T0DaREmvcnY7f1GU+u+TdvFGSrFPgHZQWVuWnuTK2q1c+d8r/g3AC9ZuzrRuZWmrQ4dZ3oOuVa/f60Wn7/Rqs47H5Oy+nzL0Ov9AglcOWN8+z+0P6/v43scddD07fT8uRKv1+5uDXL++upOoc//eJorzs/Da9igKUHBRSZF/bjvne36Zh8tDAUJAZJfZ9JygbxfszcmKTsI+X2Z/nBX4rZ+1P5/zAryX+G4X4vZ7HUR/8XoeJP47fdbvudo+73DObuft95j245rvp5QiHlK8H/SbnY8vfH5I4r1fob4Y4r3j232Nm0b97WHPN8r3Ajg6M+8RKXRwCekscu0Sgn4Gvf5cXTqSVmHhTwbkB+YdBpQDCb3i310EU75sXijFHcLT+xgImvoc3Hm2lM+LdXv+3LraQYewxXr1ah8v4NHsyFpmjQ74rV717Nh+MILXHJt7b8Ba9mrj5XKC3UZzj968+AJs/Q6woUHq5f9um0HtMds3hBAq1idfp34p1iN/3rb3eswIH1TuTu/nReAgTrji9/v9vUHpKIgL9jtMuYvn7nRNuv3+UinCTr371HXPe/uAsvZ7rXrOBg85G1tcmjTsObudfxT6Pc/QtjaCjY5ymlFmzoc9p/t8pZJge3/we7ar46jP+/AgQdAm4LtEXxXxS3Xy0T9O8Cq0CPkWkZ0X0QVB33y/Kerz5WpxLnQQ9/nP8r9RrI+vc1tdO58DQIvgN1/tLqh7bRVXdAD0e67i5y3vAwcfM6p4z71fq9ZAllc6nuOg8wx3PFo/P0Livdvx3Y49LPE+aHmGLdew5zPf6/qR+e4QdVskCDkia96ltp19bsamRZzY3qubED4UOhhUv4ODAw5qfys3Hu7WYTlR1kKn69CBg26O4udtIq1HqOlBDCKkOpYtHv3G7nT+TkJ0WHp993atu1ccOJz6FW1jkmJy1GP7+e6gDDZDdvB16/WdUX57UMZlo11FSYGt/XSs9ctzKHYwhIA+LNHddt4JXbfDfA6OcqpJOT2G+Z0bO/Wun/Vzbw8zKO51TOvEQbuA8x93EJb5vt9fC0UAaON0z40dWnZ9yM+Kq9zvdBD0rWXJfzdXlk4iu+P3C/XsdExXIV+4Xh2vVed/W84LtH1vmHD59vdz5+3gEGgrT5/CvZtzAACwutoSNn+YCeraji/89LBC/XC/1/bWQDPYg4j3QYX+YYn3YcT2OAT6sOL9oEmdoyDeq9Xq+x9++OHTubduT6ssYxXvcdTcukiT5sO5ZcaonzV3Pd4/TAb6DULaRkWdEhAd1JH2K34nxaDXuVt9plGXcdrI6bUKbuxlY/3NcV2zYct42OWZlPCZx/tokr95en0Z13fT0X9vTAJ5nEyjXQ7dIT2mU0/L0QIM5nxzx549uYrHt2oj/dYoxx4UCdfyZzfh1yMZpo++ssv/ALQsAcwv7+kqmFVzNh3djun2b07ct5Sxb5HeReh3OscB16TNAZL/vMeyhfbvt/8O0NkRYE7dvY2HEu2FZvaRe3t7IBsbh5qYruPscvHvfr7ThyAfaca97Z3RRfegM9yDnaPj2+Y7Awr3ww5vH1a0m3N2/+yoz7g7Ll269JJpl8ExVvFe3d8zHWTbjGKusaPOD+uuIr6ftYYDDkIGFZz+/Acc77fi7TVbdoA3a5TZ8mHo5xr0M/s3qww7QP3DP/gAnv7/++q292e9vkCzjFMRLgvCIl27P/yD38cDz/qqA4+bJ3E+E+0zwTKM46cOo5/odwlIzzwPffapH/rgw3jKlz23r2Nbzj/AMpXeg+GD32wTPj0Ef89oAWUnB3RTxLd87pdZFRNE5kWrcwa48U5rmduiBWTn8hVFe/5cLXUYUJi3/gbavlP8oOs5+hLz6Ph+N0dAr3P1+n2gu2PA/Jz5++H/8T9w6e/8nQOF8lCCvYvDoPd3Dn5vlCzynW+d/gXuILPkhzbT3vHdwxXmYaY90C9jFu9VkMoG3K3a9tAA2oS9faurYeRn8Ns+cyK8i9F1GzD0mg0/jOM7PeX7Du3ttbxiEtEIXdbwT4JxDMiHLfuH/uBhfMmzn9/XsTMhJDowazP788RB126ersGHP9ifeHdJsuYBNxM55UK0/j3G8vRzKw/785Po3w9jmdGH/+gPcP9Df2Pw3x7kp4cZgHcYEfcjhnoLws5lKIbbt90HLvlqYecBc5z7HXuMS4gHtCZ/LdTJl6uLuG8vex+iuY/v9vyNLsK87RyDCPI+hXzH3yy+cUCUxu+99734m9/0zf3/XicbK/7dh5Dte3Z8pOPa3uo6Rp+0UO96fMd351yod/3k4D5/2PIExsdYxTtBoXPskKytKOyBDjd7j9Dy/Ok6GVFLWHqXAUOxTKOK/27n7ec7B32vcJLRz3HQTxSdB5McIB+wP/EkSQYYbM5aZzZuUTOt+k5drOU47GswzrrFA2RLHTaZHjD5mfvDaINDve6Tui+6lHnGuqHh6FGJJG7fceXg0w3Qjx9w7mEG0YO831Gw9yG+8rSI+9yuDN2XJ+bO6YU+mrsWkNadNw5eOkDadpjoemzbudCy5WU3sd/fuQb9G61/t2V4G1wE93LqEKXBKe9ynt7nBdBxCrVfYd73e304DLqWD4eVJK7/c/QWnF3eH8CpcNDvj0Oc9/xe10/GK85nbbx7VCDjHCS+733vq1Yqlctj+4FAYELcuXPn9MmTJ6eWnCIQOCyCLQcWgWDHgUUh2HJgQbh46dKlM9MuxFFgrOI9EAgEAoFAIBAIBAKBwOjMxm7zgUAgEAgEAoFAIBAIBLoSxHsgEAgEAoFAIBAIBAIzztjEOyHkJYSQy4SQzxFC3jyu3wkEhoEQcoEQ8kFCyKcJIZ8ihLzBvn+SEPIBQshn7b8n7PuEEPL/Wnv+S0LIs3LnerU9/rOEkFdPq06Bow0hJCaEfJwQ8l77932EkD+1NvvfCCFl+37F/v05+/m9uXO8xb5/mRDy4ilVJXBEIYQcJ4S8hxDyGULIXxNCnhf65MA8Qgj5fju2+CQh5FcIIUuhTw4EAofBWMQ7ISQG8HMAvh7AlwL4dkLIl47jtwKBIREAflBr/aUAngvgddZG3wzgYa31/QAetn8Dxpbvt6/vBvALgBH7AP5vAF8J4DkA/m83uAwEJswbAPx17u+3AXiH1vqpAHYAfJd9/7sA7Nj332GPg7X/bwPwDAAvAfDzti8PBCbFzwL4Xa310wE8E8aeQ58cmCsIIecBfC+AZ2utHwQQw/StoU8OBAIjM66Z9+cA+JzW+gtaawbg3QBePqbfCgQGRmt9XWv9Mfv/Kswg8TyMnb7LHvYuAN9k//9yAP9FGz4C4Dgh5ByAFwP4gNb6jtZ6B8AHYB6ygcDEIITcA+BvA/gP9m8C4IUA3mMPKdqys/H3ALhkj385gHdrranW+osAPgfTlwcCY4cQsgHg+QB+EQC01kxrvYvQJwfmkwTAMiEkAbAC4DpCnxwIBA6BcYn38wCu5v5+3L4XCMwcNkTtKwD8KYBNrfV1+9ENAJv2/91sOth6YBb4VwDeBL+rMk4B2NVaC/t33i69zdrP9+zxwZYD0+Q+AFsA/pNd/vEfCCGrCH1yYM7QWl8D8HYAj8GI9j0AjyD0yYFA4BAICesCRxpCyBqA/w7g+7TW+/nPtNlHMeylGJhpCCEvBXBLa/3ItMsSCIxAAuBZAH5Ba/0VAOpohsgDCH1yYD6wyzReDuOQuhvAKkL0RyAQOCTGJd6vAbiQ+/se+14gMDMQQkowwv2Xtda/Zt++aUMvYf+9Zd/vZtPB1gPT5qsAvIwQ8ijMEqUXwqwdPm5DNoFWu/Q2az/fALCNYMuB6fI4gMe11n9q/34PjJgPfXJg3vhaAF/UWm9prTmAX4Ppp0OfHAgERmZc4v3PAdxvM2uWYRJu/NaYfisQGBi7nuwXAfy11vpnch/9FgCXnfjVAH4z9/6rbIbj5wLYs6Gc7wfwdYSQE9bb/nX2vUBgImit36K1vkdrfS9MX/sHWuv/A8AHAbzCHla0ZWfjr7DHa/v+t9nMx/fBJAL7swlVI3DE0VrfAHCVEPKAfesSgE8j9MmB+eMxAM8lhKzYsYaz5dAnBwKBkUkOPmRwtNaCEPJ6mAdmDOA/aq0/NY7fCgSG5KsAfAeAvyKEfMK+98MAfhLArxJCvgvAFQB/x372PgDfAJMwpgHgtQCgtb5DCPkxGIcVAPxzrfWdidQgEOjNDwF4NyHk/wHwcdhEYPbf/48Q8jkAd2AEP7TWnyKE/CrMIFMAeJ3WWk6+2IEjzD8G8MvW6f8FmH42QuiTA3OE1vpPCSHvAfAxmL704wD+HYDfRuiTA4HAiBDj3AsEAoFAIBAIBAKBQCAwq4SEdYFAIBAIBAKBQCAQCMw4QbwHAoFAIBAIBAKBQCAw4wTxHggEAoFAIBAIBAKBwIwTxHsgEAgEAoFAIBAIBAIzThDvgUAgEAgEAoFAIBAIzDhBvAcCgUAgEAgEAoFAIDDjBPEeCAQCgUAgEAgEAoHAjBPEeyAQCAQCgUAgEAgEAjNOEO+BQCAQCAQCgUAgEAjMOEG8BwKBQCAQCAQCgUAgMOME8R4IBAKBQCAQCAQCgcCME8R7IBAIBAKBQCAQCAQCM04Q74FAIBAIBAKBQCAQCMw4I4l3QshLCCGXCSGfI4S8+bAKFQgEAoFAIBAIBAKBQKAJ0VoP90VCYgD/G8CLADwO4M8BfLvW+tOHV7xAIBAIBAKBQCAQCAQCo8y8PwfA57TWX9BaMwDvBvDywylWIBAIBAKBQCAQCAQCAUcywnfPA7ia+/txAF+ZP+B3f/d39fXr10EIgdYaJ0+exObmJhhjiOMYhBAIIVAul8E5BwCUSiX/OQBIKTt+niQJtNb+c8YYCCFIkgSccyRJAqUUlFL+8yiKEMdxz8+jKIIQAqVSCVLKnp8LIaC19p+HOi1unZRSqFQqC1WnRWynUKeD6ySEAICFqtMitlOoU+86ZVmGUqm0UHVaxHYKdTq4TnEcQ0q5UHVaxHYKdepdJ0rp7UuXLp1BYOyMIt4PZGVlBa997WvH+ROBwES4fPkyHnjggWkXIxAYmWDLgUUg2HFgUQi2HFgEHn744SvTLsNRYZSw+WsALuT+vse+5ymXyyOcPhCYHS5evDjtIgQCh0Kw5cAiEOw4sCgEWw4EAoMwinj/cwD3E0LuI4SUAXwbgN/KH8AYG6VsgcDMcOVKcCgGFoNgy4FFINhxYFEIthwIBAZh6LB5rbUghLwewPsBxAD+o9b6U/ljoihsIx9YDFZXV6ddhEDgUAi2HFgEgh0HFoVgy4FAYBBGWvOutX4fgPd1+zyI98CisLS0NO0iBAKHQrDlwCIQ7DiwKARbDgRmn5/8yZ/UGxsb/u+nPe1p77906dJLplGWsSasc1mNA4F5Z3t7G6dPn552MQKBkQm2HFgEgh0HFoVgy4HA7LOxsYF//I/f4P9+//t/Z2o37VjFe6lUGufpA4GJce7cuWkXIRA4FIItBxaBYMeBRSHYciAw+xBCEMdjlc19M9a49jDzHlgUtre3p12EQOBQCLYcWASCHQcWhWDLgcA8QBDHsX9Nk7G6ELTW4zx9IDAxws4JgUUh2HJgEQh2HFgUgi0HArOPmXmfjYjysYr3sM97YFEI+7AGFoVgy4FFINhxYFEIthwIzANHJGw+eBMDi0LYhzWwKARbDiwCwY4Di0Kw5UBg9iEEiKLYv6bJWF0I014TEAgcFuvr69MuQiBwKARbDiwCwY4Di0Kw5UBgHjgiM++EkJG+X6fZIZUkEBiNJJmNGzYQGJVgy4FFINhxYFEIthwIzD6EECRJyb+myUxnm69TekglCQRGY2dnZ9pFCAQOhWDLgUUg2HFgUQi2HAjMPoQQRFHiX9NkphPWNWhYMx+YDc6fPz/tIgQCh0Kw5cAiEOw4sCgEWw4E5gEyM8vBxzrzzjkf6fuNkPAuMCPcvHlz2kUIBA6FYMuBRSDYcWBRCLYcCMw+hABxlPjXNJnphTbpERXvTAiUwxqomUIpNe0iBAKHQrDlwCIQ7DiwKARbDgRmH0II4imvdXeMdea9VBqtkkd15v2orPWnI0ZmTJIQ1hZYFIItBxaBYMeBRSHYciAwD5iwefeaJgeKd0LIBULIBwkhnyaEfIoQ8gb7/lsJIdcIIZ+wr28ofnfUfd6zORJ3h8lRiTiYJyfF1atXp12EQOBQCLYcWASCHQcWhWDLgcDsM0sJ6/qZeRcAflBr/aUAngvgdYSQL7WfvUNr/ZB9va/4xW6eiTiO8dBDD+EZz3gGnvnMZ+Knf/qnfdjQH/7hH+KlL30pAOC973kPzpw5g4ceeghPf/rT8Y53vMOf461vfSvOnz+Phx56yL92d3cBAH/2Z3+G5z//+XjggQfwFV/xFfgH/+Af4Od+7uf8ceVyGV/2ZV+Ghx56CG9+85v7vFSTY55E7SjMU2TFxsbGtIsQCBwKwZYDi0Cw48CiEGw5EJgHzD7v7jVNDvx1rfV1ANft/6uEkL8GMFKMz/LyMj7xiU8AAG7duoW/9/f+Hvb39/GjP/qjLccxKfF3/+7fxTvf+U5sb2/jgQcewCte8QpcuHABAPD93//9eOMb39jynZs3b+KVr3wl3v3ud+N5z3seAOA973kPvvqrvxqve93rAAD33nsvPvjBD+L06dOjVGNszJOoHYVFjTDgUqI0IxkpA4FAIBAIBAKBwPAQQhDHwy8HJ4T8FIBvBMAAfB7Aa7XWu/aztwD4LgASwPdqrd/f61wDrXknhNwL4CsA/Kl96/WEkL8khPxHQsiJ4vFSygPPedddd+Hf/bt/h3e+853QWrd+XzS/f+rUKTz1qU/F9evXe57v537u5/DqV7/aC3cAeMUrXoHNzc0DyzIrZAsqaovMk5Nib2+v72MXKXJiUR0sR5lBbDkQmFWCHQcWhWDLgcB8MOKa9w8AeFBr/eUA/jeAtwCAjWb/NgDPAPASAD9PCOn5A33P+xNC1gD8dwDfp7XeJ4T8AoAfA6Dtvz8N4Dvz39nd3cWDDz6IUqkEIQRe+cpX4k1vehO01njiiSeQJAl2dnZw/vx5cM7xkY98BFmWoVar4caNGwBj2NnZQaPRwJ//+Z9jf38fT37yk3H58mXU63X823/7b/GLv/iLKJfLWFpawrvf/W58/OMfx9d//dfj9u3byLIM9XodFy9exJUrV1CpVHD8+HFwzrGzs4M0TdFoNPznKysrWF1dxdbWFjY3N7G7uwtKqf98dXUVS0tL2N7exrlz57C9vQ3GmP98fX29pU43b96EUgrnz5/H1atXfWjU3t4eLly4gGvXriGKImxubuLatWs4ceIEhBDYuXED2T334MqVKyiXyzh16hSuX7+OU6dOda3TzZs3cebMGdTr9ZmsU7Va9ed0ddq6dg23V1bmok5KKdRqtQPrdP36daBSQS1JZr5O/bRTtLSEbH9/4WxvEe+nfusUxzEuX768UHVaxHYKdepdJ8552zhi3uu0iO0U6nRwne666y5cvnx5oeq0iO0U6tS7TouOmXkfPlxea/17uT8/AuAV9v8vB/BurTUF8EVCyOcAPAfA/+paluJsd5cClwC8F8D7tdY/0+HzewG8V2v9YP79D3/4w/qrv/qr2863traGWq3W8t7x48dx+fJl/PVf/zXe/va3473vfS9e830/iN/+5f+Cc+fO4TOf+Qze+c534ru/+7sBmDXva2trbWHz3/It34JXv/rVePnLX961Pvfeey8++tGPzmzY/O/8xV/g65/5zGkXY+z8wac+hRc+4xnTLkZffPazn8X999/f17Gfv3ULT7nrrjGXaDJc3d7GhVOnpl2MwCEyiC0HArNKsOPAohBsObAIPPzww49cunTp2dMux7h417v+q/75n/+v/u9/8S++f+j6EkL+B4D/prX+JULIOwF8RGv9S/azXwTwO1rr93T7fj/Z5gmAXwTw13nhTgg5lzvsmwF8cpgKAMAXvvAFxHGMuwqCRwiz5v0v//Iv8Sd/8id485vfbGbke/CMZzwDjzzyyLBFmQmOSpb9eapnFPW/wiRlixM2P09LGwL9MYgtBwKzSrDjwKIQbDkQmH0IAW7ffhyf+tQf41Of+mPcuXOnbQaYEPL7hJBPdni9PHfMj8Akg//lYcvSz/z/VwH4DgB/RQj5hH3vhwF8OyHkIZiw+UcBfE/xi/3s8761tYV/9I/+EV7/+tfD+AmaKKF8CZ/97GfjO77jO/CzP/uz+Imf+Imu53v961+P5zznOfjbf/tv4yu/8isBAL/2a7+Gr/qqr5qbde/zJGpHIZ2jeg5iOw26OII3rHlfPOalHwwEehHsOLAoBFsOBGYfQgjuvvt+3H23iZI5efLk7eIxWuuvPeAcrwHwUgCXdDP0/RqAC7nD7rHvdaWfbPN/DIB0+Khta7gi3fZ5T9MUDz30EDjnSJIE3/Ed34Ef+IEfaDtOCgkkzZ/+oR/6ITzrWc/CD//wDwMA3vGOd+CXfumX/Oe/8Ru/gXvvvRfvfve78cY3vhG3bt1CFEV4/vOfj5e85CUHFXdm4NnREEyUzY94v3btGh544IG+jl0k58s8OVgC/TGILQcCs0qw48CiEGw5EJgHRlvzTgh5CYA3AfgarXUj99FvAfivhJCfAXA3gPsB/Fmvc411o7ok6Xz6XlnoX/CCF+AFL3gBAOChr/ybeMs//Hb/2d133+3D5t/61rfirW99a8dzPO95z8OHP/zhrr/x6KOP9i74lGH0aAgmPkcz1CdOtG2m0JWFEu9znjmfco5KHxFAs4BUCvEEwicHseVAYFYJdhxYFIItBwKzj0lYN9I20O8EUAHwARtp/hGt9T/SWn+KEPKrAD4NE07/Oq11z+3axire+0mG1wvBxCGVZL44KvXmc1RPIfov6yKtE593R0SDsbkR7w3GsL60NPbfGcSWZx0mBMpdnMSBxWaR7DhwtAm2HAjMAwRRNFK2+af2+OzHAfx4v+ca6zRPP/u894LPUVj1YTJPM9KjwOcowqBarfZ9bLZA4n3ew+brcxQ5MKmyDmLLs848tW/gcFkkOw4cbYItBwKzDyEESVLyr2kyVvFeLpdH+r7ko4n/eYRLOVcz0qMg5sg5c/Hixb6PZXNUr4OYp7wEnZinhHuT2qVgEFsuwmZshmgW2lcqNe0iHElGseNAYJYIthwIzAdRFPvXVMsxzpN3S1jXL/Mk7g6LlLEQNj+DXLlype9jF6n95jkKhAkxV0sYJrVLwSC2XGTWrucslCfM/k+HUew4EJglgi0HArOPWfOe+Nc0Gat4L279NihCHL2Z9wZjR2a5wDyJ3EGiSHjGoUbM9zArzHPyxAZjc7WEYVL5BUaJiJqFme48syDeZ6EMR5FRI/sCgVkh2HIgMPscGfHeLdt8v0g+P+LusEgZPRLLBaRSc+WkOHXqVN/HcsYXZjZunhwsRVLG5irh3qRE4CC2XGTWhOosOGcmtdyh/XenX/dpMoodBwKzRLDlQGAeIIiTxL+myVjFOx9x4Cy4BJ2jwfdh0KDsSCwXaMzZ8oDr16/3faxgYmoD+sNmnm2xwdjMic1eZJxPZE35ILach0s5c3Y9CwJ2UssdiiyKg3BYhrXjQGDWCLYcCMw+hABxHPvXNJnpmXcl5FwNvg+DjHOIIzDzbiIM5ke8D+IZF4wjnWPRm2ee8hIUSRkFnbEEa73I+GScDcPO8qSMIZsxu56F3RCmFd0xC46LURi1/GG2MrAoBFsOBOYAQhAlkX9Nk7H+uhoxC68Qcu4HKIOScT5XonZYGpTNlZMiy7K+j+VMLIzdCiZmLsN4v2SMz0RYdb9kjKMxgdnUQWw5zyxGMszCsohplWEW6j4Ko/aRw9pxIDBrBFsOBGYfQoA4if1rmsy2eOfzlS36MGgwdiQS9c1b2Hy9Xu/7WMkXJ2KEMz63dWkwNlfb9tEJXetBbDlPyujMCcZZcM5M6/6Y1O+Oy3k3atj/sHYcCMwawZYDgXmAHA3xPmoGTSXU3AqHYck4OxIz7yljEHNUz0H2YeWMz5zIGRbJ5URmg8dBxjl4Nj/tIJhAxsff3w27p3CDzl4CwFlwzkyizToxqWfjuH5nVFsKe2MHFoVgy4HA7EPIERHvI+/zzsVMzKxMkowdjTXvGeeQcxRhMMg+rHKBlnuIOZ55zzifq+gOTtlEkp8Nu6dwytjM2fUstO+08gBM4tlokhSO53dG7VemsTf2vC4hCsw2YZ/3QGD2mbuweULIo4SQvyKEfIIQ8lH73klCyAcIIZ+1/55oO3k0mm9ASTVzg8VxQ9nRWPNuEvPNTz0rlUrfx3LGF8ZuxRwvAUgZm6vtCCeVK2EQW86Tcj4TM915ZiGygk5LvE8gCiIdY56DUc/r7HiSfe2gof7zGrUUmCzD9smBQGCCEIIojvxrmgzy639La/2Q1vrZ9u83A3hYa30/gIft3y2Mkkq/QamZwZyxMM1xI5g4EjPvDUah5mjm/fjx430fK7mcufDiYZFzHP3C2HzNvAsmJtLfDWLLeWYxkoGzyWyv1wvBBOSI+V0GRSo1kT6mTunYtgcctV9xdjxJ8T7ob82r4zMwWYbtkwOBwOQgBEhKiX9Nk1FcBy8H8C77/3cB+KbiAaPs81634n1RRFC/cMog5fyI2mGZt+UBN2/e7PtYwcXUZuMOm3ne8UEwMVf71E8qV8Igtpwn4ww8my1bEGz6SU2nkdSxwSaTfyDj41vKMWr5nR03GBvagXPYYrx4vlGT8gWOBsP2yYFAYILM4VZxGsDvEUIeIYR8t31vU2t93f7/BoDN4pdG2ee9wRiUVHM76zcsnAkoMdlZnGnAuJgrJ8WZM2f6PlYJNVeisReST2Y2eBwIxudqn3rBBOgErvUgtpwnm8HrKfj0t2UUTExcpKWMTmRJyDiTFI56XmfHGR/eeZIOKPwPSk5YtMWjNvkQGI5h++RAIDA5CExEuXtNk37V9d/UWl8jhNwF4AOEkM/kP9Raa0KILn7p1q1bePDBB1EqlSCEwCtf+Uq86U1vwpUrV7C+vo4kSbCzs4Pz58/j5s2bUErh/PnzuHr1KqpS4vz5E4j2q2g0Grh27RqiKMLm5iauXbuGEydOQAiBarWKixcv4sqVKyiXyzh16hSuX7+OU6dOIcsy1Ot1/3mlUsHx48dx8+ZNnDlzBvV6HY1Gw3++srKC1dVVbG1tYXNzE7u7u6CU+s9XV1extLSE7e1tnDt3Dtvb22CM+c8PqtPGxgYAYG9vDxcuXOhYp7IQePr9Z5Fl2cLUqVM7qTTDA0/ZxNbWFiilM1+n/f19lMvlvmzv2GoZUZrh8uXLM12nftppqRSDbm/j9u3bc2d7EWVYS0hLO8zy/XRqKYaqN3Djxo2B22mQOj322GPY2toauE7Y2wfhAl/84hcnYnv91OlEieD29jZEtTo12wPnuPLFL6C+fmxizydVLiOuN1psexz30+3dXaRxjMuXLx96ndTuLq5evTp0O33uc5/DPffcg+2dHezeuIGnP+UpA9ueTBKU4xgy95u96rT1+DU8KmTXOn3+c59D9eRJrK+tYWtrC3tK4VFKZ6Ivn9V+L9SpilKphK2trYWq0yK2U6hT7zotOi7b/CxAtG7T3L2/QMhbAdQA/EMAL9BaXyeEnAPwh1rrB/LHfuhDH9LPf/7zhyrYxx59FP/3P347vun134zvevGloc4xj/z0L/13PPL+R/Dv/8M/w2pladrFGRv//n2/hz/61Q/hF/7NP8X60uzX8/Lly3jggQcOPhDA97zhJ/DQCx/C//nyrx9zqcbP//UDb8PzX/l8fNvznjftogzMz777N3Hnxh386Pe9dtpF6Ysf/dfvwoWnX8B3vuiFY/2dQWw5z39++A+xfX0bP/j3v3UMpRqOH/83v4SXv/Rr8OA9F6ZWhp/55V/Di7/mOXjGPfdM7Dc/fe0aPvyxT+J7vvHFY/2dD1++jJ16HS971rMO/dz/5Y8+hFd9zXDjA6Bpx3/2+c/j1Po6nnLXXQOf47M3bmBtaQnn+lxz/KHPfAbPf/rTe57v7hPH/bP7Tz77WfyN++8fuFyBo8WwfXIgMEs8/PDDj1y6dOnZBx85n/zab75X/6+/aO4M8ZKvevrU6ntg2DwhZJUQsu7+D+DrAHwSwG8BeLU97NUAfrP43VH2eU8Zg1Ji5hIkjRvBBKSQC79WjjMBJdXc1LPffViV1pBCgtP5D5fkUkIIOXMZxvuFs/najlByATEBuxl2T2FO2cz1x5yJiWyv1wvBxMTDoye1k0LGx7NzBhOjP9udHZstDId7jjQGzKZ/UDs3WGuOgKO27C8wHGGf90Bg9iGEzFXCuk0Af0wI+QsAfwbgt7XWvwvgJwG8iBDyWQBfa/9uYZR93uuUQikFPuWB2aQRVnDMi6gdFp7NVz373Ye1Tk0W/XnaoqwbLmnkLGzHNQxm54bZEpu9EFyCTUC8D7unMJ/BBICSTz+h4rQS1k3CkZJxBj6Ge6hO6cj9irPjlHNkQ9plNqDwP0i8ZwVnwLSTKQbmg7DPeyAwD8xOwroDXQda6y8AeGaH97cB9IxnH2Wf9wZjkFJMZDA7S3AmoJWeG1E7LHzOnBT9ruepZRmEkDM3QzkMtSyD5PMbRSCFgJyjHQ0kn0yk0bBr03g2eztECD79bPPTcCCYbfsmMPPO+Fju/8OIHHB2PErCugZjIIT4vynnqJRKXY93CSW5lCgVEhY1KG2LVAgJ6wL9cBTWCwcC8w4ho22BfpiM1XUwinhPGYPWiyGC+kVpbcLmpUA9mw9ROyxizsLmV1dX+zrOzVbP2gzlMMx7Xfi8zbxP6Fr3a8tFOJutfd6V1pB8+tuJCj6dsPlJOFIoG4+ToE7pyI41Z8fZCNvmZbx1e8aDnABuC9BOzpo6pW1h+IuyZWhgvAzbJwcCgQliE9a51zQZq3gXQ+69CgA8Yz5svk6zQyzV7FLLMgi7hdq8iNphcE4KpSTSOann1tZWX8eZsHk1c1tqDUOdUig5mVDucSCYmXlvzIGNpYxBcjERu+nXlovM2jKEOqVmq7gZWPM+aRtLJxQ2zykHG8OymUaXmXc1QAJdZ8eM8Tbx3u/2b8VZ+4MiKNw17yTyG4yBilZHzrw6PgOTZdg+ORAITA5CgLgU+9c0Gat4L/UIP+tFnWagTrwzgeqCz0I76pRCMAGt5dRDQcdJLctM2LyUqA+ZaGjSbG5u9nVcnVJIKe3ez/PtdEoZgxRqpmZb+4UJIzSFEKjNQTsYITqZSKN+bbmIW4YwyL7Y46SWZTY55PT6ypQxSDn5pI6M8ZGc4/0ixhRt0W3N/iDrz50dCybaRHe/z89BZt7rNPMOh07lTBkzUQD2HA1KwSif++dAYPwM2ycHAoHJQY7KzLuUw4XF1SkFpxxKORE0HwJvVIoz7/MwYzgMtSxrOikoAx/STibJ7u5uX8eZ2WoFweffbn3SSMbnzhbden0l1Fw4/2pZBiUkBBdjvx/6teUibhlCLZsNMeKWdUwzMsTnhZhwUkdOufndMdsKy8bjJEgphexw3nQAJ4izY0F5m/Ok3xwEnHG/jh0wCfq64ZzrADo+txrMJPdzzgB3/Lw/BwLjZ9g+ORAITJY4jvxrmoz115VSg39Ha1QzCpYyaG2EQy3Lpp5ReNwwIfzDXikJStnCPvRNPTmUUqCUzYwY6AXtoy1cGyppZqvnQTR2Q2ntM+cLNh+z13mq1hE2S2KzFzXaTHRYTdOx/lY/tlxkP039NpbVGbmezuExzYSKNWrsbNJlMMkDx2/bgo0niWLDrtkvzkoP8px3dsxZ+/Xvd+ZdMNEi/HtlrXfPrdSusS+WNWUMnHJQIUA598cv6nM8cHgM0ycHAoHJQghBlMT+NU3GKt6H2ee9lmUdZ97nYQA+CrUsQzXLILmA1gosZajRDHIIB8gskzKGapaZfd6VNPWcg7btZx9W52RSSvqB9TxEFXSilmVIKYNSGpzyuXNENGfe5yN/RD1rJgcctzgeZk9hHxUk5Mzcr3VKvcNjkLXSh0k1MzkuJr22mTMz896pLQ7zmcFtwrrDfg5lnEPydgfnIInnnB0LJiAK4r3f/dV51ppNP+3x+25pSy3L0GDtzvWMcwhqwvCrbhzDRMu+74FAJ8I+74HAHEAIklLsX9NkrOJ90H3epVJeqLOMQtvEZk7QL+rsO5dmNssMkKWZeW9QVDM6M7Nch0XN1ZMJM/PeMHWc9bDsg/ZhNREjGWijuebd1XUeqWUZaEohpfDRL3ROtj1iQtgt+wSkVLb/mN124FKiZhMdigmI42H2FK5aZ4icoUgGHzafMeyPOVqhVxmEMFuaTqoP49JEGwguOj4fDstZRTm3SQpl2/Wt09EckxllXgjnGSTXi7NjznjL0gmpVN9OAM64F/4Hfa9BmY9Cynj7jHqDGbHu+kvnQJwH52FguoR93gOB2YcQIIpj/5omM7VVnBOwRrxzv962Tilq1Hqy53QmsxfOOWG2zzGilmWseS1mJEHUqKTMRBM4YaW1GXg3bPvOMgdt5eLaijYotJZ2VskO4OYsesJFR9CGWfMumMB+ms6NI6mWZajZraiknXmf5ciBqr22Uhq72R+zM2vQbYmkUqimqU0yqVCbAUeqs1EllIkM6SLex9131nJl2O9wf4zjeVW1SxiU7OzoOaxkp36pBBdt4r1B2Ug2wDKT6K9Y/n5nzAFjx1XrCBZM+H62mmV9iXe364kT/tUDHJRud4NqRpFx1nadnbjnGffbxvEQNh/og7BVXCAwDxyRhHWDiPeGTdDmRCzLzJp3wQTqaYZ6Rr3InVaI5Dho2EiDWpahkZp1r27m3V2LeRSARaRSdmkAza3tN06Kqn1/lsXh0tJS18+4TTDoZquVUn5WqWpf80TTgcagdWsUwazPvnMpvaNBcAElFeppNrN5M1zERsOGzXN3rcfozOply51w11Ny6RMxVrPpzHQ7qlmKNLMJFSnHfpp2fC6Mc9cO75xzyx06OBDGYXP7aQqWm7ku1nsQAdzzd6yT1dlknk5h4/2SMgaembD/Yt9IB3C2LC0toZqmkEJAMI69RsOUjdK+xLtxTpjogt1GA7UDRL/bm75OKTLG27Y5dTsA5KMFw8x7oB8G7ZMDgcDkMTPvkX9Nk5nY590ld3FCp55mdh2ahqC8Rcg6gb8IUM59REGdUhNyzQW01i0z7/7zGRdOvXDRE7UsQ9qwwko11/Y78TuLAgsAtre3u37m2qlGKVhKfa6GRpp558ysLwtw1Gnm28nPvPOmoKx2EAuzRDVNjT2lmZ95pw2K/TTtKHSmjRHGKbKGmcGV3ukzvt0metlyEed0q1GTj0MJhVpqylfsjyZ1bc0yI9tfWuFcy7KOofPj7E9qzukiJVhm1jl32rLsMNtRKmVENRNQwiy3aJsVZ6PNijv8DL+Q2C84kFPWPvPc93mzFJwynz/BRSf0K7od29vbRoBz4/Ry16HfJXZ7jYbdntE4XuqUgvH2beccblvAWpaBstb94Sk3a+eFDZt3z2zR43yBgGOQPjkQCEwHQgiSUuJf02Tq+7w74Z5/0YZJWKe1hhASNKWoFY6ZFzHUDZeZ3M+uUyOWBJcAjHhv2Fnqak7Az+MMfJ0WnBCp28/ezLznoypc286ao+LcuXMd33ezb87xRDMGpRSklH49v6ubq9OsLv2gnPvIiKrNO+EcEWlmQs+L6/hnaUmHc+xVM2NjUljxnjbvsaLjb5rlp5x7oe4cJVJIHylQTFhJOT8UgdzNljvh7LqWUUipTJ6KlHqbz5MyOpHcArUsQzVNQVMKrZSZGbZOsvy9pbTuufXXKKTMrLOnKYWW2u8SUIxIMNfk8J5VPjcKE1DK7AhRnPHvtB57mN/xOzZYkZ13EhgHwXC/sZ9mYJSbqJhc+Ws0AxW8775/8+xZu65cQHLjYHDjiX5m8N11dGv63XKuTksR6jRDRhkkb+4KkzLm78e9tOF3AJBcos4oqHVQZJTNdM6NwPQZpE8OBAJTghDESeRf02SqM++pDb1rE+8pBc/MoEsw0TLz3vqavZm0fujksKg7wWFn3nnGvOhws7fu2Hmps9lurBkqX89yEQZCmgiDlCLr0r6zRCfPeD0XNVGnFA27xSGgIXmr3TYjLNoF5CzAhPBOIifSacqMA40L0HrWsqylboXlOMOSB8FFsbjkh1k9g5ISWmnQBvUiOR8FQTmfWvnzSSprWQaWWqePtZuab4tmHzdKqHKefmd5UtaM/jGORZNtPqs3y50X8KavGu/1dGWqumvmhHPuWubLM8i+4YOQvy4mLwT3y3/yQq1Bh5+hLsKlRDVNse/yD9i22LfvAabPpWL02d6qFbMuesWJdyaET+zWa1u1btSpOQ+34j3NTOSAyWFAwQbYivDajRu5mXfjCNtLG2atuWhfp58nZcwvCxDM5JlworzTkpX91NibFAqNjILbmfe9RsM6cjK/AwBnHHX7LJDC7KiynwbxHuhOmHkPBGafURPWEUJ+ihDyGULIXxJCfp0Qcty+/yJCyCOEkL+y/77woHONdd5fdxGZSmtkdq/UvPhJGUNqZ6G43VtW2MEsSynqSxTlJEEURYgJsecClkollKac+a8flNagdn9YNxD3gja1olYqaK1BM+bF30q5jCSOobRGYuu5XC7PdJ2dsHMzT3mBmzXMWkAAYIVlEUkUQWuNOIpQKSVYrczGWrD8zglKa1+vYkSBy9UgRXOGsk4pKqUEEYkgVAlSaaxWKjPTfk7Euvo0nAPNRr9I3owiWKtUUE4SEELApUKDUiyXSqj0EWUzzvJXc+LcZ/0Xyu9o4NphuVRCHBFoaFAuQIXA8ZWViZY3v6tG3na0VJDS2I2rTylOzL2QJEgZQxJHWB9xfWQ/u4C4qAD3yuomrF8rDZaaPBU1mmGpXEZMCCqlEhqUIR4wSelA5bazok6om3tNG7FkoxVWKxUkcYyVctmEQY8hsmI/TbGfd7rI5i4BtSxDtVJBRCJEhCDj3PfZo5Kvu+SyxbZrWYYkisCkRDZCSDuQj7Yw6/mVaOaN2E9TxFGEjDHIZLDhg9Ia+6mLHOA+Omk/y7BSabZXLctwen2957mkUmikKWo2yimWsXVimKUL3C71Oba83KWOdhmNkBAwzgppnWfVzDjIIzvGaFCKvUbDbl+rfOQYZSbXArWOAsGEj/ZhGQPLGJQwOwPsNRo4ubo61X4yMLsMujNTIBCYBqQ1UZ0YOIr2AwDeorUWhJC3AXgLgB8CcBvAN2qtnyCEPAjg/QDO9zrRWMV7p33emTAD5k7i3SWqYxnze68q+yCkDYr6Srt4l1pDKoVKkqBSKvkH7qzh6t0m3nNLBYx4N4NNbkVtmlHUc+LdDY6V1jNbZ8o5qBDt4p1ZJ0Vq1okCZg9xmhpRX68Y8Q4ASRyjQo15lpPpO2fcPqxMCDPrxFvbz83COUHhBqY0NXZbSZx4N2HQdUqxvrQ0VrHTD6ldH5uvixO/7h4UXCBr2DZaosbmoghCSmScY4nSqQ1KO0XvNDLTDkopvzQjtcJ+uVRCYhONUC7ApIRUamLtkE9u6P9N3cy79mv03WeVxIh3niRoMObvj1E4aE9hFxnkch/UaDOsX8mcUyqjWCpliIhJNJZxDjKmvojbtca+TC3RCmYGupplWLHi3TlIUm62cFupVA6lHHXaGnXg73cu/HVZrVQQEwJCCKgQiA9j/XnOkZJmJgpCS7srCTWz10kcgQk50sx7ypgJ/09TpA0TvZIX2auVCuIoAhUCUmukjGG5w3O+Ey403UQOCEA1c7vsW2eL4J1nvjudq7KxgfqNG2aLxUj4czeYcQ7vpyk2Nzba7u1qlnknghTNDPUAIIXJ8bDXaGClXPY5BmpZBk6Zz9MiuTCiPE2xLITND2CiCdxSHXdPu60M99MUZ4J4D3Qg7PMeCMw+hABRPlx+wLkBrfXv5f78CIBX2Pc/nnv/UwCWCSEVrXXXUMsDxTsh5AEA/y331pMB/DMAxwH8QwBb9v0f1lq/L//dvDeRSwnuBGxOvOdFbCNriljB7cy7EF4E0ZSibgezefGulIKQEkIplOMYpSSZGUFbrHebeGdGoDunhdbGk+NELW1Q1Cvt4l1rPXN1ZkKAS+FnNIvivZZrX2UHTc5JQVOKWiVrEe/lJLaRFcY5U7ZtPw2++OijuHjffV6k5O3WDaizegaeOaeT8nWtrTZFmFAKEQFqmbn1lkulqbRd0ZmUF5SNrDnzDsALNppS1JZbxTuXAnWaoFJKsFQqT1QEM8F9WHI+uWPWsOHMNorFO//WKJZs2ZUGuA0BrtoZunG3QZpzWObLayI2KLTW0HY2tZFmqC87pw8By4n3QQRTJ65cuYIHHnig7X0XEeVs2y13qaWZzyFglrpYZ4h12hBCUI7N/R5H0aGKZaA1MsRFV6QZBbMh+l440wyrmYlokUohZRTMLqcYtTwu2sbtitHckYHapSUSWd18ZgSusaWMMRBCUKfZUFFE7nedMPVREFJBa4ClzfIkcezvSXO9BvvN/JKEaubaXEHnHDb71jFB/b2THmiLZvlUax3cmn2XTHKpVEKDUighUbeh9J1mzZ1TZj9NsXXjBrK6iQ6IIoJGanIhNCjzSTb309Q7HKRSoFZoO6eZlMamG2mGKIr81pL7aQohJaTWfqkCoxxaarDMXBduE91xIbCfGYeEFNJEKqXMz9Rzu6RiP8tQSpKJR/oEZp9ufXIgEJgdCCH4o/e+Fw//xm8AAH7yn//z0yOc7jvRqq0d3wrgY72EO9CHeNdaXwbwEAAQQmIA1wD8OoDXAniH1vrt3b4bx7EXr6wP8e7EKsvMfqmEEJvJl3mBF5cSJHHkB9pOvHMrZHkcoyQlkihCEsdTmbFVTlhL2VbvTmHztGFCyd1sIQCfZZ82KNLlsg+9zIv3WaizqyuXAkxIL94zzpFys52OWytNG0bgmj1+BQACzpr1bCw1lwKUk8Q6LOCdM1xKlOJ4onV09ltaWvKJkIp26yMnUgpuBYXbBo+mxjlTK5XMDKpSiACUYiPKhJSolEoo23qNW/w6B4uboXNirZFzRNCUIqs38064dZtZPUN9dcmHzYtSCUJKJJFxHkmlUYrjsTpZOjkBu0ZAKO3FJq2bwfpSqYQkjs1sqTLivpZliAjxkSyHTbeom5qNcsjqJtEhACip7fXPUFvJUI5jEFu2lFKUksSv6x426ma9Q0iyi5bJ5+Oo5UQcs/kPjDPElK+6mnlbKMUxMs4RE4Iazeyyl9GupXPQpIz7fd19JEA9884lKV34OMVq2YhYLo0IZDYz/VpleIcCy93z+Vn3rEFBUwZoDeUSq9qweZKbeSeE+CUQ5QFCzd3v5p09+35JiPTLq+pphuqyEZ9KKdP/2nXYSRQf2A5mDTtDg5p14G7HBh9tkcsb4aIKKOeQcYz9NMNyuYKVcmfHHbXPgQZt7viQ5ZzznHIfEdNgZtmYE8/O7gkh/n7NXw8RRaANaiOdlF/awxg3TgAb7u4ia6RSYDbEfT9NzXelggKQ1TMkpQTKRsbspSm4jcpx191tb0rTZj6e/TS1S0zMbL+UZjtFljEwapZU8MyE1+81Gijb59YsLZsKTJ9OfXIgEJgxCPCSb/0WvORbvwUAsLG3f7vtEEJ+H8DZDt/+Ea31b9pjfgRm3v6XC999BoC3Afi6g4oyaNj8JQCf11pf6Sc8UsN43LkQdiDWXbw74e7+FVyAkBhaW/GeMdCUISmXUI8jEPQr3iMkUWxC7aNobLNrUin/Ei4SwArOfL2ZrXOnersBMiEEnAkv/sqNMmL7oHfXXSqFpVJpKnX29bQzE1wICCW7ivc6painTVHlwl0JIRBMgFkHRnm5jLpdTyKUQuSWCNhBV6VUQhJFKCUJSnGEiERe8B5WHZUdJCqlIJQEl8rYr53xyXJLApzgdXkaWMrArdNJqZzTqUFRLxuhtawUkijyiceWSiXvlCgniW/D2LbdYdXHRWnkHS0Z5y0z7/noF5bRXF1Ua11cFIGdtYptmyilUE4SUCFanBGj1qNZ/mZ7OCeKEx0+gVjabAsHo8wKLYpa2ThRlFI+EVydUuNIKZXADskJxu39L1SzvJTzFvGRjxLwERs2LJc2zD3jxAtPEmScQ2rtw4qHdWYlVkC665p3MOavpyuncbhRaGWuF82azhAXGVCKY2R25r2aUbtEpOnY6ff+LDoD8w4mvwY/NWXy4t0uNcjqGWo2bF5IiQZj3hmxn2WQWvftJCtem6J4d9fFR6dYgdtITRmionhPUyRRhOVyCaXYOCY7XZNOv+uWstRcP5qaGWoA3qlWW828QOV2Ocu+/c0lKVGOzfPA/aZyEWu236Z295PmunrjUNa56JV6asLbS3EMzoVdw55ipVyGkBLlJAYB8WJb2H47b/P7Weojr7TW4JSZGfNSCfXMOCUaNpN/RAhoznaEkqA22/t+liEVwjrpFJQkXrxzyiGl8rPdGhoRiaC0cWx48Z5SKKURwQh/VVY+IV3VzrwrG5lTT7MWh0MUR36LQpokJgJASmipjWC328ZpbRIq1hpmKULZPt+UUlgul0eKoAksDskATr1AIDAdCAiSqPdYS2v9tT3PQchrALwUwCWdSwxHCLkHZmL8VVrrzx9UlkF7jG8D8Cu5v19PCHkVgI8C+EGt9U7+4Fu3tvA3nv1sREkCKSVe+vKX4++89rXYu30bSBJQKcEbDbAoRtxoYEUw7DOBe86sgd19AqsrF3HvvU9CjWucrMSoSA7ZyBAJhpRz6EYDVCmIU6cg9vdRKpexvrGBxt4ejm1sQAsBRjOcO38Pbl2/jqWlJWxsbGB7awunz5xB1mggTVPce++9uHLlClZWVrC6uoqtrS1sbm5id3cXlFJcvHgRV65cwerqKiqVCm5vb2NzcxPb29ugjOHu83fj8auPY3l1FSSKsLe7i41Tp7CzvQ0hJZY3NrB7+zZgBzlZvQ5aLkNVa0goh6IUp5ZipKtl3HffWRw79iTcus1wdmMJZSjolCKBcQI00hQcwPqpU9jb30e5UsHq2hrSahUbJ05AUArBqK/z8soK1lZXcceWeX9/H8zW6epjj2F1dRVLS0vY3t7GuXPnsL29DcYYLjzpSXjsyhWsra8jimPs3LmDzXPnsHXrJoRUOH3XXbj+xBNYXl01sxPVKtZOnsTu7duQWoMsL6O+swORxMgoQ9LIIFKGEyUCnFzF7eOrePDBu5GyCMcqMdaJBG9kIJKDVsoQS0sQOzvgGxvYkxIQAqc2N1G9fRvLKytYXV3B/s4uTt91Fxq1GjiluOfCBTxx7RpWV1exvLyMO9vbOHvuHHbu3AFjzLfj+vo64jjGnZ0dnD13Dlu3bkFKibvOnsW1a9ewurZm67SPjdNnsH3rFqp7ezhx/m7s3d4GKhUwxkDTFI0oRqlaw5LgiKTE0+67C7KxjxMnjuPCmXVQyrBEM2BPoyEElJRIVlbAq1Xsa42Td92F+p07WFpextraGqq7uzh95oypE2O4cOECrj3+ONbW1rC8vOzbKV+nRx99FOvHjpk63bmDc+fO4Zat0+mzZ3H92jUsr65CaY3q/j6OnTqF7Vu3ILVGtLyM2s4ORBwjpRRxI4NIKU4tJdDnT6B+59j/v71vj7VlSev6VVX3Wvt59j57n3P2edwz984wV2BAYZDgKIoJV2FQ40BCCMQgURI1QUVjgmBMSIQ/1BhREyVR1KAhIhlJhGEiDneGlwmjAYzykDCve89zn33Ofu/16K6Hf1R91dXV3euxH+fse0/9kp21V6/uqvqqqqu/3/d99TW+9APvATKOBaPQG5xglHFkx8co8hy838d4dxdqYwOQEqYssXX7NnafbGNxcQkrKyvY393FjRs3cHR46Nt87+23sbyygoV+H8/cONHce+XuXbz91ltYXlkBFxx7e/vYvHEDz3Z2UEqJ1Y0NPN3eBu/3UUqJwckJyn4Pcv8QYlTAFAXuXFvG4NZVCAG8enMNxbhAfziAgsaJ1iiLAnxhAdAaD/f2sHX7No6ePcPiwgKurK3hYHcXm9euYTQYYDwa4e573oP79+5heWkJyysreBqsEcPRCK/cvYt7b7+NxaUlZL0e9nZ3sb65ib3dXYyLAleuXcPTx4+AvIdCKQyPj3HCOLKTAVahkTHggx98L/YPh1jtC6xoifJkiGExhun1UKysYHx0hHxxEY9HI7CyxM3bt7H75An6vR423Jhubm5iXBQYnJzg1Vdfxdtvv42Ffh+ra2t4sr2Nzc1NfO5zn8PjnR1s3b6Nh/fuIev3IXo97O/uIl9ZwcnhIUajEYa9HvjBIfKiwIJg+PIvewVf+MITbK0tYllLlIMhRsUYZnERWZahGAyQra7i4dtv41mW4cbNm9jf2cGVtTUIxnB0dIRX7tzB48ePwTnHdbeGrK2toZQSR0dHuHnnDh7cuweeCSwsr+DZzg6ypUUMhiMMT04w7PUgDg+xoCQWc46v+EOvYu9ohBUB9AYDnPRz8KMjDPt9SMagBgMcZBnG+/tgSuH2K69g5/FjrKwsY6G/gL29Pdy8edOP0507d3Dv/n0sLS8DjGF/fx+rGxvYffoUpZTQi4s4evoUpdIQ4zHubCzj2fIC3veeTVzJDOTxACNZwqysgBkDc3KC0eoqHrz1Fg6WFrGxeQ2Hz55hY2MDRVFgOBjgzit38OD+A/T6fSytrODpkydYWV/H8dERBsMhemtr2N3exsgYqMEI6wJYXelja2MZN64soByOUDzbxeHiEIZzZEdHGBmDxw8eYJdz3L5zB7vb21hZXUWWZTg8OMC1Gzfw7OlTSKVwZWMDTx4/Buv1MCpLHB8eoigU1gTw2isbeLxziI0ehz46wcBoCKWglUF/KPGMMQilMDo8xPrVq1BlidFwgGs3b2H74UPwTID3F7D/7BnKPMfo8BCL5RiCA3/gfTeQ5xz6eIBxWUBxgQVZotzdxf7CAvYePcLS8hLyvIeTw0MsX72Kw/19jEYjyMVFmIMD9GSJjbUlrF9ZhCkKsP1D9KXCWCqUu7t4ZgxO8hxyNMTS1Q0cPn2KQimcaI1lVWJ9pY9McKwYieHYYD0H+NExDno5jsdj8IUFDEcjiIMjMK3x6s01iB7HSBmsMo3i6BgaQG8wBNca79m6glLb7S9rq33Iox7WFgSywyMcLi2g3NvDycoKlpeWUAxOsHXzFo4PDmCU8nrIqhunvb093LlzB9vb29Ba27l57x7W1tYAAAcHB/b58OABOOfY2trCgwcPcPXqVUh3P9Ezr9frYXNzE48ePcLm5iZGoxFO3Brx1ltvod/vY319Hdvb27h+/TpOTk4wGAz877PoRm16RPjMTTJ1yySlxN7e3rtKpnfjOCWZJsv0bgdj7EwJaBljHwbwfQD+pDFmEBxfB/BzAL7fGPM/ZiqrKyN8S6U9AA8BfJkxZpsxtgWbIc8A+CEAt4wxfzm85pd/9VfNrfe/H4WUkFpjXJYolfIeqGFZeq/l8HiIweEAR7tHePbgKR5+7iF2dx9hZeUqbr/3Lq69cg1r19awvLaMxZUF9JcX0O/3sNTvYSHvoZ9lyLPM7/+uPCzWUiI494nuBOdgwSdn8J78rogCYwwMDLSx/2sXQqq0hjYaSpuJnvdQ7kFRYDS2HpPR8RDH+yfY39nHzr0dPPz8PYzHA1zfuoNb77uJqzc3sLqxiqXVJfSX+lhYXsBir4elnpW550Kuc+e1tZ443imzlZd5uYFKdsBGSwA2iz/JTV4abUxN1tCb6z3vNa+oDZccufE92T/GwdND7NzbwYPP3sdweIjrW3dw8303sXlr08p5ZRH9xT7yhR6W+30su+zmtOfde6id5z13HiVKEFWNKfNjyaMhjWUzwVjGkRw0joOTE2gharKdjK237+TgBMd7x9h7vIuHn32EnUeP0O8v4fb7buP6e25g7foaVtZWsLiygHyhh16WedkoVDt33lMaO5q7lLU6HrtQrjZ5KCRcOU8mzct4C0uYOHJwMsTgaGjvwUfP8Phzj/H00TYWF5dx+/13cP3udaxdX8PSlSUsriyi77zYi70eriwuYiHP/TjNI0d4j80yHmFehVFR4KSw208Gbo7tPznA9lvbePTZR1BK4uZrt7D12haubl3FytUVLK4sYmmh7+YLw9riElYWFvxYkOc9E6J1XsVoazPNG/I+FpHn/Wg0wuB4iOO9I+xt7+PxFx5j+/PbyHoZbn3RLWy9uuXmzTIWlxbQz3No5zleX17GysKCzZcQeJKzaF1rXcOMwfHxMXqLi7U2+rB5KTGkkP6B68+doD+lws333vT9uby+jOWlRfQygULaSIBrq6u4sriAhbzn53W4DoXrLD1/lNYwMJAqiKKKtkYcj8c4PBngeO+4mp/3n2JxZQG3X7+D669cx5VrV7C0sojFXs9HP1xbXcXmygoW3ZpJY0vrftgWWuPj9TuMEjsYDHC4d4T97X08/OxD7NzbweLKIm590S3cuHsdVzavYGl50e7/H43RyzNsra1hfXkZS85zTREp4TjR/KF67TvPK4/43vEJDp8d4snbT/Dos49QDMe4fvc6br7vFtZvrGNpxe4RHw1G6C32cXt9HevLy1jIc/QygYyLmqy0JpB8tDVh7+QEBzsHrp6H0Npg67UtbL26hdVNqzQOj4cQmcDWtavYXFnxWf5JJsrJQtnvKRR9f/8IT+/v4OFnH2F4NMDmnWu4+doWVq6u+iztqxuruLVxFasLdt4Lzvz2KYqkOBgOcfB0Dw/f3sGTt7bBOMfWq1tYv7FuM+QrhbUb67hxdd3veTfubS+HoxH294+wc28H229tAwCu3bmG3mIPWiqsXV/D+uYaFno5jAGOhyPs7+xj+wvbON4/xsr6CvJejv5SH2vXroBnAif7J9i5v4Ph8RBZL0N/sY9yXGJ4NMDqxhVsvbaFjZsb2FhdwdrSEpb7ff8M7+cZelm1dWqerRUJ7w4cHx9jZWXlRTcjIeFMePPNN3/9jTfe+OoX3Y6Lwi/80i8ZbG7672x7ey55GWOfAdAHQO+G/DVjzF9jjP192Mzzvx+c/g3GmCddZc3zlPgm2E302wBAn65B/wbAx+ILpAsvbu55t++IHRelT9RG4dTF0IbrGmMghN2rJwub2bUYFch7GbjgNu0fSAmxikJfKcgsQ08plO5BmDklKSYRdTJbV+LaQEpmSOA9QZpA+mrkvUXucZBdX5XKKt9CuEQ3Tu5hgSzPfHupPT4s14XN94SwcjuZ28h7nUC58UNEogICTwq/DyfvMFS05TUYFnY8C9oaMKLxtVmpOc/cO5Jd6PywB5HZsTXG+FaFhoKMc5RKTSTvbTLGiGVrG0dtNAppx/Fwbw98dbUmG4WR0/aGwiUo4k5JlqWq5nV/DC6sXLqnq1DQIOkghT+3zdd47IB28h6O1UzkvSwwKkqfNJFCzmUhoZXbusAYpJuz48EYmbsHtdbIcruEUMguzfnQgJS5bS5tczC+xyaNRzjXxkH7T0bB9hM3HqqUNjMoF1DudU3Ufu6yzXNh589A2KRicV4Few/ZMQi3ZnQZHeI+nxQ2X22XKVx7FRi3faLKastF3ssAzqBcLgyVZcjHY99eImVd86Wa71XfPtnextWbN2vj5d8CEmyjoCSFlF3b9if3e3ppLjDGUOYZDCzBOvHt074vQ0NIbADx4x2MdanqhsBBUX8rhw2NVuDCllUG81MIbst0OQ8GxRi9UWZDyvOs1l9ta19onCSjK22VsXu2bab7YmSTItKrY2Qh3fauMZiwa68qJQrYrRmZW9dzbzyo7oPQ+BMaQsloQLkHxgP7mjJaAJSqtrRwzsAEh1Ia0pF+2kKQZ1nNeEKGWKl0Y0+/Txrr1mnG4JKw2S1cKrfkGE6ufpb5LQl0j9PWI0/ei2BLjnsFJWPMbnkYFcjd3nUKOT8ajcBgt4bQ/SZVlUn/ZDiCGFevHPX9P6hy/JQjG9autfZvICiV8u0og/fUy0L6daEYlRgORpC6ersCvRKQ2syFvQ/GwzEY5zZfjbL3qFH29ZrUNjJKjAYjHOd2GwDlcVnIcxQqR0/ImtPhvLdPJVxubG9vJ/KekHDJQfyMMO+L4owx7+84/sMAfniesuYh79+BIGSeMXbLGPPIff0WAL/V0iD7+pdACSrosyg9MfV/4wLFuIRye8sy91o4JRXKkSOxvQw8E5Xyry3VJKWnrzVKtweXFMYuRdzuAawT9y7PGskTkndPMAKSEXukiSjFchNJKpzyTu+I5ZyD8wxG271yxbBAsVAgywUY8zYLmAUiN9omQooMFrHMbQYLoEnc/dhFcraRE601yshQMZal3UNZlCjHRUVsHYktCwktrRKUZbnbE1iiGNvzx7kA4xxwyh2NbT/LPMktg33JxYwGiuaYVnO0zQgTjmPhchXoorAkjIwvoVxujyOc0YkxbpMXUe6CQWblAmAMMEC479QZYFz0xDRjk52n7bJ0kV+plB+rOIHieFw3RBSjsd+vKUQORiRhbO/RfGgzthttYJzCSgq7J++h93qKESJcL+Zt/6goakaHsUsUpZQGzwSgLImgtSbv555sZZmAdkYxAKci72TUC+8PGc2f2Gg5HI290a4YFSjdK6ZEJsCFnTfe2DDMwTiHURpMcBjYrOCU7LCUYmI/h2sY9S15LyeRd5oPY7cuK6nBOAeHzT5O89rPBaUBzqCFqLWPPN3xWhSvr/G6Ujcw2Qiean4WNkeANuBCWBJbKhSjMYpRHyLj0Nq49ZJhVJQ4EZYcFs7ISYbNMOqK1rzw/o/3vHsj13CMYlTCaAPOub1HSunzFTDOITLh58egKDyBDPfdh8ZYHaw9BY1JYOzx64wzpAghfEK0YlRAZNzOFW2NboOi8G+FoLUl3PNO/U39TPJZ40gBWSqAM3DAz0naG661RgZgXJQ4yceevNO++ip3gX0mkIGN1hYA4JkzUo9KjHvW+GAz90sMRjYPRaFUzdBZBORblDY5HHP9KKVEOS684UQWEsORnedkOCmlssYXl2DO3/tSgpfVdfZ1pvZ+JmMRGRzodXBa2azyjDObnE5rGG2gmYaU0iefpfVnPBhj4IxdtF6ULiqnRxFLnNciy8KoGhH8Jby7QHMlISHh8oIB/lXDwPzk/TwxE3lnjC0D+NMA/mpw+B8zxr4SNmz+C9FvFty+1og8z/RZFiXKUekVVPI8EwFSzsJtSZBw3tnSnyNcBmbGK4+F7mlIJSpvDynhjkSEBK/L6x4qlXFYZxuB96HkAYGPvZwV+ZNWhsCbXimiToHXGpxnyDJblyyl7atxaUmtiJQ9p2D2c41ScOQi8zJTsjqSmZSqWO5QVsKsUQahrLUxLqWLlrBJBu1rcyqCq7WGEFmVtK50iuGwgHAGG9cw9/osF1kRGmZCksuaWyHmjSyI5Qs9p1IpFL0exuOxl60i7mM/hpXRKYcQHEYZP2+LcWnJJOA9goCdQ32tId2crRleOsYOmLwVoGuspPdq2mRghZQoR9ZgRsS3HFsDi4wMaJoI27BA3svBBfdzMAx9biXvLeMzad5R+8PQ3hqZomRmgYEoXEfCqAEfwltKa3gYVeRd9zJk1HHoIO/RGHS1O9xaMsnzXhSlJ3iFex0feeiIvBul/RpZ9G1UgNHaElVtQBulytBgF/VzbIwMQ/v50lInefd96sgiGRa1tsYFrWx/lr7vrXFHO8Joco2Be7j5NzUEr/eMt0yEY66B1n4blaWP4CEjr5Sy6jNn4C1G9jwurGGJCUugx0XpM7H38xxF8EyIaZBGC3lXsoqY8utZ6TO+88x5m53XeDwqwDhH3svA6JVx48IneSSSFs4pGiNvzHNjMiwKa1yjOT4uoKWysrn1qyyc3JxBUIQWlxiN7dzRWiNXyvc/9buhMaIko86IV4zCKCIOw4wz2NjnNUx1zxSjAieCQ2mDUlRGdbp3KXkeRV8Vrt+YM56DjNSjwo8lfT/hDIWUNsGk65uCMrmPCowHJYx7hjDOoKVCMS6R5RmMsMnwxgMBozQKt16Rd75wkRvUH9q94g25jeIYDwWU1N64UBalT9hIJF2WCmxk+7gcl96QqcNP1xeh8yHcVrDY63mDUp5lNpKmbDfC15PQwhsVJ23pSXhn4M6dOy+6CQkJCVPAWD1h3cR3uV0wZiLvxpgTAJvRse+cdp2WEqNi7EMApVRQpfQE1pJY+75eIneqJMVbIM9dlnVjXwVDCq0QVsm1Sq2xr+rRBioXNmQwsw+/MgzdDcLIvdcdaCiTXaHzpPgClaIZE6XY4+YVUWk9sGVR+i0AZSAzeaMBS/wYY16JV6VCMS4gcuHJiG2PIw2ZlTnLBDJhw2hFlIW9scc/kLPrge89dZhCcLWCVOQRVZDSklvpCCsRqmJkZSelmwuOHD2vXCoixaPChy+SoFobqJ71vOdzkNxQzrbxDGWLjTCx55QdHmHc61Wy0RsQRgVkUUJKBa0NwJgnYQCsYcIReJGJRntIWQ+zzXPutgO4udkmV+uYdYyVn5cuHFcqhbKU1lM4roxo1oPnsiQrDS44RJ55D6Jy87gYFuC8Tr4AOAPadALc5nUPx2XSXAvbXzMQOWJDESwAIHLhiQYZH+z6Ub3FwAQeDxqLMNt82xi0zqWAvGtjGtnmS6l8hIm/J8hYKSPybmyYcunIIin7eS8PDGuOeIVh8zOS9+GzZxBXrzbIu6TtBWSQov4sKQqDV2+AkBrFqETWK/w6nOWZ906G7cuVmom8t913ZPQMDTQyWC9FLrwhSTnyxjM77iLPbMRCQCjD8WWMQcSGGARv0wjC10vyqg/pVaYVCc3yzBrrnJGInlHGGL8OlJxjwBhkXhm3YvIeRm6Ehu4qOo0iYuz2BXp6h3JnOqgzq95gkEnpt69YOavtZnQ/eYOyMygZY+y9rw2MAcpCInPZ9YUQALNzesyZzbYvKq+wX3v8mmG9+eXIEW7OwDO3RrpnBoyByYSLYLBqkcyrNVNL+ywlIryaMzzVpjLGaVP3prvtJ7a+iryH24Ko+7U2nsxTmDv1QRn0hzdMyGqbCwD3e7AeqMqoCW0gXWZ84eQJ12afz8UZunJv+GzmrqHtFl35e7pyvyRif7lx79699J73hIRLDsYY8kuSk+RCW6EZw2BceNIeknciap48uHBApSqlzJi+VbSZC1UrrbJQZhxc1BVArQyEFNC5hsoFhBAQom65FowHlmvm/2Li3hbWSfWEYb2hoqfI6xYon8rJq5SGdCSdCEfhCG3plEDyQluSXu2rUEo5uWVE3h3JyQUyZWWWQqCUQaid4BCs/eEeytnlAQ3lDF+hpqKkdUrpqp2OVFWh8FVEhSyl905keQYttN3jDkBJS65kbsc3bIt2r9/RUkE5MhmT3FCJ4cyqqDONZyAbKVQh+SLZuIZX+rxsjuiWAcHhnCPv5d7jZg0TqhYx4iqHMajJ1dgO0CFXPGYhoQvDo8OxkqE87l6kOVlG4+Q9ipzbbSoBYZPSGqFI8TbatBrQio57L1YmSQoyAczbfj/HRsEc08aTKpJDu+t82x3hpD+t7TiXmfLrxrzkPZw/nhhL5bdPUORNuM3CttcaSmh/O2OBscG9lqqaM7mvU+WOvAdh83S/TyLvSnCMAs+7UrphdBu7tVkWpQtBt15dY6xHW7v1TTqvtp0LutY+3dMoJUeeKT8PGJrkXRtT22tO4c1SSnvvuLaMXYQS3WtMcGR55g1JZFwi0pobA5NnYEVFYstc1ci7bYvv3to4kuG1ZnB2EWOydGs2Z96wCgTjltkw6yyvZ6ZVSvk2sOBeaMyfwODrjWuRoYcpVoVxuzXGGONfO8VHzEfHeIN3uA46wqqlqslno99sPVxwGO6eB9KFqTMGk9tjBatelScEBxMVeTdK+2df4f6UlO7cql+0kxWwCknJmPNYAzyz64aNwNKQpAOMC5xQG8mQSAS8dOTd7dnXUnnybvvJGl/g5hCRba00FKuuV1z5yAZJc47BbtXj9hppShgD/7tfi93/zMlh+7iEGFXk3SgN2VMo83qy3ThqqW0LT9eWOLrH2gk8arlHautwIvgvFJQdPCEh4fKCAcgvybalCyXvxhiMx4UndTG5I4XBeneUf/crFxyZe78x59XDWztLPi/sPjcKSSMPmlAZtFQQ0hI8nnGU3IZO0gOuCjNDTZGc9vBqI/D050mttsqK1o6QOcJgiWnpFY8iJEqlslZ65zHJe7mNPCBy5JIPlUUJzpnfX2kc+RNSQEsNIQVEZg0W0oUfcl55PKtEbpXcwBTPtFOqY6U2VDCtrLaN5BmpRRmMLAGQRQmtlPcaiVxAGOvZBZzXs5QoC+HHNmiMrUcJ8FIhy21UhRACheC1sQ0V8lDOtvGcJJt2pF1LS1KyokShTCOCohpDOz8ogZv3LGmniLsxZJ6HGT93Q7n82E2QC+jeCmAMKhlIHkdOaU6G9yLJYMPly9peTZ5x5AgiQZzyS8QiNiSRAU05AlxmonbvxZ6geGjCsZip/dEaQh5Z47xxWS/z3kMA9n7saLs3pOT23pPR3Io9xq33SkC+wvkT9zdF3tA9A6AKeXZJx4yxRESWEryowv/9n9YQSkNnonG/TyPvrJQoWWHv35Y+LYL+VLQmc+6JKOU7UI70Vbkc6u2jiCCZKd++mDA0jKHRmkJkiwyf1CbAeX978PLSGiKC/spNZWDyJDfjta1XoQGJtrTEa3jp1jIaNyLR/llFxjpnCOFF2CeufG0gZObbEEegEKHTrm9DowGtM8bt5efCPgfovpSl9OH7hALwZVFIemioIA9ybd2meUlb19y9w4QloaFnO4SS2icbDckp9R/NKVonmWAQEG6uW6MGk1V54VaRsG9V6aK7SoWMUVmVMqWVhuYaTAGyZAAKSFnNBz+vpIYxkRE0mCNGGSuzcgYOVd+TrLUGpHVQ2HJVjbiHcsCNAxl12vqn7OUYC958U0dA3uOtf5SzIczJ0Ubg27bLhetZG8GP79NE9BMSEl52MHa2V8WdJy7W/6+1y1SsnGdWOgIrvSJrj0mvtAGoPH6aewXCh1eTwulCPIFKacyUgc6tUisEB3fkQZXSJ7Eh8stbHl5AO5lteKIDhVMHyh49jK0VX0E54kfkjUJhSQmVUvrwOkbe9h48kfdeDE1KhwLjpT/mQ1W1hlI22oBn3CtqlH2YPPZtyvMkeWPFmtrakDVQciUZaiSRK/JSGacsOVLoPHScsyDsUfux9RmVQWGfGsoZKLQSPiFUQ0bnXeqKLqiFeU+QjZRekq2nJcqx9pES5ch6Y2QZkF3nhWMMAMnFK6XRkh3mjU5EeJUUNhJBqalydc1Rfx+gTkBIlurecYYWpVzEgN2WIcmIpIz3SGV5ZhVhxnyouScKvIV4OAPatHlIyngsBY0MecJDMhO3n+4pb0yRVcQAGU4y4zLhi0p5p+vqERCmZvzjLnw9bDsL1goAXgbq69pfdG9IWXk3fXupvw3sVgtKnBdE3RhXBhkbqvvSzlchNVTGwQW1t72tfnzc38JwhLGs9ymtzxVJLmtrso2Qyb0xhPGKtISELjSECGkjgrwxiuZMMHe8TK4vJrapDMaY2TFmLlKBB2ulLBXAqkziRlfGDnou8Fo/+alg1wWtnUFVW8NrsHaXAYm2/SL8PemNzI4A1vpE159NtXHirD6PAlJHBt9wnQGvR5X4uR3Wqat5TetmKKuVszJS0LotnREdro/pvvfklwwrkLV6tFKQZT0yDMbYZ6CqnvkUYUZ76T25VRqac4ApPxZKcXCuaoYraquSEotLea3f6UIyrADSzxXqY4qEonPCe8Rnizdu64Gs5k4YBm8MwLSB1jahH3SlB4QI1zpKckfRAKGBS+UCUipkmUCZSR9ZFiara8thE0bThdFBYSLGriSuMYHv+t1OtzjfSjOnTPxb2Lc8ujahiYODA9y8efNFNyMhIWEKwoR1LxIXGzZv4Am6ciG3DS984HEHKq8sY/DhmjzjXtmCsfvfmVPA6ZjRBibX0DqzD0rBwaVy4YLMZkr2BAINJTdWykOQohYr6eFDWzuPexuBJ0+GjzogJVRVD3whOEwvA1PVgy/LM5+ZjMJ6ueQVcSClUFtFWWcKrGySv0pRRS3pXfxJZYb/k5w1Q4VTbLWqwi5JSQuVKwrzVKoiAVWoK/dKkgjaRKSZRwo+yUlKkDXKqNrYeuWDxjAimLUxdXJRnRWZjmRzY7knJcqyko3IIpFMSxgFMgMYp9CHe4SJOHLOIMP+VtWc5S7BVpdcjMGTn9abDQF50roiwaExQlVjFd6LKiBGYIEhifYMC14RJDcXQhJMdWbKQGcKXDk5QuLOWU2WcO6FinHlve1uP91TNoxa1TxfjDMfuQPA3QOVd5a84hQeS3Vqanub0YHX14l4LoXtBRllonuj1t+y8uaRV1tzeoUd833tw3mDV2Jppb2xR0kBLlQlY2QgqbXTzXOpATkc+z6lcORaG2WVD8CWLXw0DBlB6d4J+9LPD7/+BYYQwbxnNu4/+P4LvN7RM6P+nKgILLXJE0zlCCarCKbWwrbVPRe8Iakl+qOKiKnWGyLSWtWNzBCmmtOieh4RSQQAYUR9/eJunFoNYMYbDcL1NKw3DDkPn4EhsRZGuGMCnGu3Pz8iq84A7OcpRYtom2gt3FdP9ZAcTNtQcapHqWYkQfg8JIOMJdPw6394/5M3m76T8b59Xmk8PRzV+8CNH/WFKQ24Mo02UaRe/KwD7L3FDKs/8wNjYjhPAMBIXTuP2tNslwuzd4al2HgrSmUNXcIaWkq3XaAtajCOyIpzXYS5beIQ+XkJPMkRE/A6mW+eG/dDfCxOJtt2Tv38pkHg3YS7d+++6CYkJCRMAWMMuXgJ9rwzGJ+Vt/ZHyhgR3kAB4xlHhgyaMgZz5hVpn4Uc1cOwsrJXpCIME9SZmkzcI6W87ZlQGfUrJd0TW1L6nRzaJS6Lw65JMSalPZbbZAIZ4JODEQkNQx2hq73fElWbtNbQQkEpJ7OKZWYNuYHKUNFJ3iM5a8p1QHK9t8wrusorhFppTywpuoAx5ve+w49v3WujpIaPo/RKbTW2qlT+1UjM9xNrEISJ5J0+3Rh6b3WgQJNsV3scJ4V0HqZANlQeFi9bOJ8bbwgwgEt0BWNgsswTX9qbzQPlvjZ+nPkJ2kqAwr4ygQfR1OXxiroM5mSgeHLOgRw+azeNXSgLtZP2xhpjILRwyrqAkLrDABHIYius3WTU9poxxSvt9fYToYvbT15Gegc4EZEaAaH9rdbBZusQGkrxWtttOdF900H42gxAbfcGEXzAhQ8b4fo36GvOvYZrnOGOMVYjZkpxCKG9VxstbY3niDEGq9AYSOPvs3hOaEnrEzwpzZBVBjhWRfHQXPChynBkVWlPHMP2tRkW/NsX3P3hxzkgz9Qm0Nroolr8axYiY5/WGkxW/UUELIy+isls1UdV9AcRYm+EpLBvViWNY6aae402qKBcMkyK+noXj09tvtNzJKw3sPyH/emNR7RsagOuTdX3LQbRsM/peUWg0Py4jVQH5/Qcru6TxrneqF09O6ns2FPtPd+lcXvKVXP7VLBOX7+ygIdjWWujNcoC2thrNdONKBmSmdoS9z8zrHGsMmJHz46wXkTEk1frHZ1DSQ59e3K7XmZ5VtNbeEjeI0N8Wy6UttwccYJIFp6DJmE+TwIfnkP/h/XQNUD7deH3ruOTyug6v438t13zvPHgwQO8/vrrL6TuhISE2cCAlyNs3hj72pVKwdae2BlHkghWIXPEnVevigqVfiJrAJzXW4Nrl4yKMRjtSIRT1uz7qYOHXouCGz5c27xVXhZviY888I7oec8dWfYjD7wn+EQOTV2JYZxBB+F//gEakAhbvyOAjnzQMaOFV9S8zIHHMVSc60SkXcmPP2M5Q+8UKaVe0VUVITTGeIJuuLGkUHOYgKhYMleRvLBvwxBIel1VPLa+n1rkDOdXKFNNLjJOdMimtYYSxhMvH+4clO0Jo+GVtYcUpZDAawPwUMl2cunqlVehch/LNWmexrLEJMSHoAeKeuxRYswlw9Ksfn/SlovaXKwU7rANXBtorhpbVTxZ6ph7NQOEqcKvvVFlSvuJaAqIeigtnGc2SHIJMv4F84Ir7rZl6MggVBnQJhmDwv6uSHxF4I2uSCmVRQSQaxZOG3/PhP1Kcya83+n97369cNdUhjkvri9HZkBZNOcE3b9kwAqJombak5qwLk/gtXZRQ1Wyw5A4Ng0g9fuxtqZGbaJ1x1hrgm8TY8wnUwvXcyov7C/bnsqAG5PZ2jhquocqA1hIQKljidyGBq4aMWPGkW7bJ5pZQwbtJ2+bSvR8qc/7qF4OMBZ636uBrsktjA9Tn2Q0IeMePT+9R5xVCdfCtnrZtPNSMwPGAaWaVq2wTB/2zxjs+wiCOWqM375EWzKgmoblcM325TX60JVtDAwMmA7mP8230DAdHG/9P3r2d50f9m/b85XWfv9Mc/ULN9e5y+NiI2/qESuhMT7cHtO2DTAMlW/bHug/USflMUFnjE0k+eF3YLoH/iwEvovQTyqj7bpZfg9vEyqz67pZyp7lt3CtT0hIuJxgjCG7JPfqxYbNa+MTspFiWD187Tn2AcQARxg45zXPlDspILPce6U80dMaWrvFMFTWnOfQeoXq3rdZyESINmIR73clZb3mcYhCsBtyg4PlzD+8qa56O2NPnCOAFHbrCKN2yinXxnsc6t5b1lDqJ5N3+PpiOWHatgwE4YWxEcKNMTfczwE/vCExFN1KOHl6aGzJ+9tFDurKFGoyhXJRPZNkO5CsIsGBbN77pliDMNaMQzWvV0B6p8hVDzWfPE9biZA2nXPSE8lQnkwAWtfIpO+/lrbUFHNHGCxRYdU8ZJi6XaOt/QD8Xuha+42pPHnRPBNCwPD6b/V5WPcmksGGae3bTusMtb2N6NHaE5YTkr5wPoWh9DWDQgsJbbRXRNFGWoODQ0F5TzJTuj7XqH9byBoAHJaAVMGaFZHEkCgyR+DjsYq9ioBL4gUODvvaN98+zjxhRdW8aOw7yFnUb0Qqw7XSH3dlx3MTynpiiUDX18GOOTiB2PrrOMAMmttY4ntDAUxrMI4amQ7HOiaFtIbqlnluqIpgnOL2E7G2sjbbBi9ndV18z/h5hGY9RLJ9v+uWQUV0LwfGxag43yZ7fpMM1drl7rH946JWdq0o1L+H7Wn7bNQB1Ej7JLStx/HaHzTdPV+iLQLKrf0+kqaKWAmjsGrE3RN4Nw4tz/qJ5N2R7a7cP21vbakT7ybRD68N+4HOD/urjcDH59bPm3w9ldF2TTxO00l9d5lxGZPLaT8e13Hl6lUMxuPWcycZAaa1a5bfExISZgPDS+J55wzt3hM4JYszcFShh1wxr8TFiElQg0QE3gCrPrr6uPFKRkhoqzLbPbQhGkp6pJCEZK+ebKtSQmOyyg2HYQzQNqw83BsdtiOWOSQfdY8G9wQkVJq93JFS3/YAiPs9lnGSgm10uJ8wJu5WVkb9plu0oXhcQ4UnHltTERftzm14szoITFimE9J/xLKFivvaao7BuAxkq+Yvka9YIawZEgK5wq4PCVmbXHXSXpctGqzav62yRITAg1lvHuC2qjAGiOZ9GBuUPA9oGR8wVvf61chbO4kzfkgCEt/SfpprdXJeD8WNlXkgIpwBKaA+J5LXaHsH0au3PSIovv1N4kcNZjAQGW9d82p9FLQVgO9ncANlDJhuGnYmzfuryzmejMpGn9bWZ84Au6zUCKqJvLCI1k9PVhl8+8iDOm3NiYlr2KbaWPMquiX0jIXyh2UaY0OhiUBXHdtN3kNy2xi7sP0tx2wb62s0Y8xFLpjgnPq1JnAk154xsfzUby3PLWvYrQzAQDexjmXuvHe6+kjXSXK8ZjfOt1/a/o0bVP3bQsKpvI3VPu7vlI3j7UW2P9savzVC6duvmbQWtD27wzJYm/GWntuqGSVYi8IKclq0bRULST1jZGRq6kz0loWQ0If/A6gR/Op7O3mPX2M6y753f23Ub7OGzbeR7Tai3e5db94708j7LGVMOj6pjvv37+Hua+/tvG4SIZ+XvMd1A9PX0VnLneW6ec5LSLhMYIyh9zKQd23aFQ/mPM6cGYCbyhsr2sPYatcGylGoiDf2vSk0lNs68ZiBEIVoIUdUVxfBiJVho9x7YsF8VEDore2SOey3msyRUgCgVe56v09e+ON2xArdJDnbyEkboZooJ28Zm+CayqNUES1STuP50VZ+Q4mL2tQl28lYVuVqwMApXVG5seIb93nX2LXJFZOeSQpjTaY2pb9lrIwxDXnAK497l7Ia3jPhvIrlAHeqdzRG88owjUgxq6UCTjEG0NROosZPJHlR2+Pw3WltDtsblt0gxow5ktVUnmqyoTmfw342MA1SCoVOHI8ArVStfWE7fd1BO+l3Kr42H+K1l84NyCqRsJiwhmhrT/hZq6s9Yrp2Ththq/Yz1w1sXee3yUV1eENXqyymCv+OyvDXdMjQRSzjbWZd8Gsamm3oOretvuBgdzvD/lNmyvkdZcyIuK2HJ+OJYzbpeOt5bUblANPWgNrPPHr21uaZW660gXaTgBlLwuOIFaMNNFOeyNcJerX2deYVYe26j7+2ZRtdSO7pWMPL3vp/nejHsneGwkf9eyry3lFG5/lTf6+G8nmQ92xxEScdnve4zEn1TauzrW7gspD3xqHW5+I8xH/WNs5bxqTzE969YOxleVWcg1XeAC4A4whlGNraIHWTHujxAh550Rswle0+VN66lM9paCN7/jMiGTF8AjBj7KLE6drp9YaEidrflkwIAEzg+TLhNYEHZi4ygubYxMSkVi5HpfSTrMbUvHed8kUyAs3xieUk8hLKOgvh6vQItchWe5iHpIYU8kjGLuEmKt3x+AHVGLaU1VFIQ45a2dFYhQTelx3K1IJp905IhKnJs5C3Whktbe+UIyR0Mz5Q2+YU9UdM8kLyOVPbO8hXW/0MrEFKJrWzq/yYlPrrWZO8sVz4BGjT2lrbehK0tatdYX3xdwCesHYZ07ra0pChxcs7ra8m1TcJbddMGrPWc4J5P0sbJpU/F+FVc8o7Y9n+tJnPn3zetP5su15E0Wqz1jlP/820nPD29b1BikMvPOklGtCgqCTun9tkfA+3eVAeCjAGpjq86QGhbxL2KlqqjdiHbfbnOYJf/635fA4J+CTy3STi7roW0h/35zTy3/bbrGU1fm8ps6vcWc9pnlcdH47HEKck7/PU2VY3cH7kfVai/u4g762HZ9Kbzlr3acs7y3UJeLnC5msThTGAkXeMdXpa4v9jTFqcZiLwkUIZZpftwkQlsIMwhW3yREm0hKfPoAgCTeV0KhH0ZN2VH+yrnVeFjeWaOj7u6UcLWc1rNKWuSXK2EgJYwmvPDY7NKeWkMV7sZdgfVO/oDckX4OSbtGC2rPST5PLfGx7UCd6+UxChWJ5QplkRyxGW2zg2wSM8rd1tx0MSOI8RLr5+1vrmRSshjtefU7Q7LrsrSqKt/oWcY++k23U98d6e0tZZ+2qiN/iU/R1vTTrvMs+CWcs59Vw7wxw9SzFn8Zyftkz6famf4dnh/Pdsp+FoxvtwGiFoEPiO6KsYfqtOGP1DhFejRuRrJDsk0RGhr45XpD5sV8240ELuw9/COmJ5vMwNWdvLAFAj/PbSbkI96VVxsQFg1rLi32vHgennnJW8B8ePj47BFpday5hWzunOR/33l4i8z0uUz4u8Ty5r/msuhrx3/mSvPYVs7yqwlyRhnTLVPtS2PXCG15X74ITzacCcJGfu8xokPKy6fdEhUlYDn62+aTdH/HuDpE0INZ2GeYhUa9vE2W/stvLbiOhpMenap8fdVnHgfOSL58bzJJOznj/rAn2WNp6mjFn6bdI1Z6l7XlzUHO0kJdH1O4fDC5Uvru/MZZyCQJ8X6W6U+5z67dyegWcs6nkZPU5Tz+O9k87fZrm3T6MUTzqnRuZavPH+5xZiGa79vi80A2Cs0T3QHWpvfQi94jqop4Ns1/7n1fm+LW0km7UT9pqcbed0Evmov1r7qv2zVi7QuO404fLN40G5LQaBRntmJO5dxgEAwPJyLWx+Hk/63MQ9qvq0RP18r2scmsuDPavRoOvcSeefF3k/Ddm+CIJ+WvI+zanzMpD346Ojn//FT33qWnDo6Ytqy4WSdxHup+LtHnag+aC/CNIyK+aqg7GaZtSWgGjaQhrWeRkm/7x93GUweBGyXOT8uLbSx+OD0YXWeVF9dpY2nmebnhfxeSfeR8+zzmurC3i0Pzx7fRdEkC8SL2JczpOIX2TRL8rQAsxnfKNzb24s4/7O8ZnqOsu50yLhal+7iN+EZJg++koDjBwd4XHT3AbYIMy68qaj65yuz4Dc19o4M0nvIPptZUzpk4YBJPx9wraF5vXNeoB2Q4AtunuMT0Xao2H2kXsHB2Bra+eamK6V0MbfZ7lmBh32TB73xpHZ65innvMro/WwvWZO4n7e4e0XQdqBycT9MuhbzwtvvPHGh190GwgXSt6PDg+qBbJmWY4Gm7c/sDtJ/Cz7DedUROYlnb78STeL8CdPLGuaRessHvN5MYv882xpuGw4rYL6i5/8BL7kD/+JxvHLLi8wn2Kc0I53U7/94id/AV/8VV879bx3Ejm/FOPzHNtwEVXNErkxtYwZQ88n5nmYcU395U+9iS/6gx+a6dxa+XNsU5msDE8/2CA+Ewj/xGgB7ZwDpiLxtd/9Nqs4QWRIWskYQLpOvc2NaAHV3r6YtIdl1WSYk5jX60DjmviHzjJmIvNoPd5lCJhU1qT6gW7DgK3Ofn/zZ38Wb3zbt00lyqci7B0Gg8nXTD92lizy7bfO7AR3Hi/5uXnaW4+eLzFPnvaEWXHB5P0IrL/mvjnFgJKuEDpIszHtk4P2jbehFkLdMfG6lIYuD3IX5iJEHXLMCjYpP8LziEaIjAfP86Y9b6X8tG3/5U++iS/96q+b6dxLQSQ6cBFjd5nlPS9M67d3Uh/8yqdmI++UJOudAPJEvuBG1L9fYHtmuY1PW/3zWN/PY5vRr/zSJ/H6V/6x+euep+rTKOBT8pt0HZtMCNvbEIfbN+4DyisUvXnAnkf1uHMC3cyEP0Qy+XZ1kPtm22cgzTNcO7GODmLeKGMeQj4jkW+tMz4wJUrjv3/sY/jj3/wts9fXNsfi7zMQ2Zm942c6r3GoUz9/3kS98/zWo+9wot75y/Q1/7TtSbg4XCh5Z2hZdBoJ2wISXHsVTnDKhH3VYVFdZD+uf9o5tlWzk/+JFvMODercyMAp6p4XNePB81aQp7yj+HkhE1XSwWm4bIvZRZOaFyXvCydrAc67Dy5SNjFHwpXTJtMDnr/n/jzG4Fz7/XndF53PmOdT/YVighCZaL5xZXpxs58/rezTKNHzHG8l7DOQrxA1ch+8laF7a2JQpif6qN5awOpv3pi+dYA13jDReW6jLNReedlF9mcra97vqH9vZHg7hTFmglGHaYNyXHaQ6cn1AGh1oc5KzGc+NoPBoLN9ODsxn7eMyYSz4/gcRoVp9V8EOZ94XecvF0vOL5u++7KAXaSS+PGPf/yo3+//3oVVkJDwnLC7u3ttY2PjhSWnSEg4L6S5nPBuQJrHCe8WpLmc8C7Bq2+88cb1F92IlwEXSt4TEhISEhISEhISEhISEhLOjsvxwrqEhISEhISEhISEhISEhIROJPKekJCQkJCQkJCQkJCQkHDJcWHknTH2YcbY7zHGPsMY+/6Lqich4TRgjN1ljH2KMfY7jLHfZox9rzu+wRj7BGPs993nVXecMcb+hZvP/4cx9lVBWd/lzv99xth3vSiZEl5uMMYEY+w3GWMfc9/fyxj7tJuz/5kx1nPH++77Z9zvrwVl/IA7/nuMsW98QaIkvKRgjK0zxj7KGPt/jLHfZYz90bQmJ7wTwRj72063+C3G2H9ijC2kNTkhIeE8cCHknTEmAPxLAN8E4AMAvoMx9oGLqCsh4ZSQAP6OMeYDAD4E4HvcHP1+AG8aY14H8Kb7Dti5/Lr7+ysAfhSwZB/ADwL4IwC+BsAPknKZkPCc8b0Afjf4/o8A/Igx5v0A9gB8tzv+3QD23PEfcefBzf9vB/BlAD4M4F+5tTwh4XnhnwP4b8aYLwHwFbDzOa3JCe8oMMbuAPibAL7aGPPlAATs2prW5ISEhDPjojzvXwPgM8aYzxljCgA/CeAjF1RXQsLcMMY8Msb8hvv/CFZJvAM7T3/cnfbjAL7Z/f8RAP/BWPwagHXG2C0A3wjgE8aYXWPMHoBPwD5kExKeGxhjrwD4swB+zH1nAL4ewEfdKfFcpjn+UQBvuPM/AuAnjTFjY8znAXwGdi1PSLhwMMbWAHwdgH8LAMaYwhizj7QmJ7wzkQFYZIxlAJYAPEJakxMSEs4BF0Xe7wC4F3y/744lJFw6uBC1DwL4NIAtY8wj99NjAFvu/645neZ6wmXAPwPwffBvVcYmgH1jjHTfw3np56z7/cCdn+ZywovEewHsAPj3bvvHjzHGlpHW5IR3GIwxDwD8EwBvw5L2AwC/jrQmJyQknANSwrqElxqMsRUA/wXA3zLGHIa/GfsexfQuxYRLDcbYnwPwxBjz6y+6LQkJZ0AG4KsA/Kgx5oMATlCFyANIa3LCOwNum8ZHYA1StwEsI0V/JCQknBMuirw/AHA3+P6KO5aQcGnAGMthiftPGGN+2h3edqGXcJ9P3PGuOZ3mesKLxtcC+POMsS/AblH6eti9w+suZBOoz0s/Z93vawCeIc3lhBeL+wDuG2M+7b5/FJbMpzU54Z2GPwXg88aYHWNMCeCnYdfptCYnJCScGRdF3v8XgNddZs0ebMKNn7mguhIS5obbT/ZvAfyuMeafBj/9DADKTvxdAP5rcPwvugzHHwJw4EI5fx7ANzDGrjpr+ze4YwkJzwXGmB8wxrxijHkNdq39pDHmLwD4FIBvdafFc5nm+Le68407/u0u8/F7YROB/c/nJEbCSw5jzGMA9xhjX+wOvQHgd5DW5IR3Ht4G8CHG2JLTNWgupzU5ISHhzMimnzI/jDGSMfbXYR+YAsC/M8b89kXUlZBwSnwtgO8E8H8ZY//bHft7AP4hgJ9ijH03gLcAfJv77eMA/gxswpgBgL8EAMaYXcbYD8EarADgHxhjdp+LBAkJk/F3AfwkY+yHAfwmXCIw9/kfGWOfAbALS/hhjPltxthPwSqZEsD3GGPU8292wkuMvwHgJ5zR/3Ow6yxHWpMT3kEwxnyaMfZRAL8Bu5b+JoB/DeDnkNbkhISEM4JZ415CQkJCQkJCQkJCQkJCQsJlRUpYl5CQkJCQkJCQkJCQkJBwyZHIe0JCQkJCQkJCQkJCQkLCJUci7wkJCQkJCQkJCQkJCQkJlxyJvCckJCQkJCQkJCQkJCQkXHIk8p6QkJCQkJCQkJCQkJCQcMmRyHtCQkJCQkJCQkJCQkJCwiVHIu8JCQkJCQkJCQkJCQkJCZccibwnJCQkJCQkJCQkJCQkJFxy/H8115RIFqSWnQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "fig=plt.figure(figsize=(20,4))\n",
    "ax=fig.add_subplot(211)\n",
    "c=plt.imshow(np.log10(xsmmodit),cmap=\"bone_r\",vmin=-23,vmax=-19)\n",
    "plt.colorbar(c,shrink=0.8)\n",
    "plt.text(50,30,\"MODIT\")\n",
    "\n",
    "ax.set_aspect(0.1/ax.get_data_ratio())\n",
    "ax=fig.add_subplot(212)\n",
    "c=plt.imshow(np.log10(xsmdirect),cmap=\"bone_r\",vmin=-23,vmax=-19)\n",
    "plt.colorbar(c,shrink=0.8)\n",
    "plt.text(50,30,\"DIRECT\")\n",
    "ax.set_aspect(0.1/ax.get_data_ratio())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "computing delta tau for CO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec.rtransfer import dtauM\n",
    "Rp=0.88\n",
    "Mp=33.2\n",
    "g=2478.57730044555*Mp/Rp**2\n",
    "#g=1.e5 #gravity cm/s2\n",
    "MMR=0.0059 #mass mixing ratio\n",
    "dtaum=dtauM(dParr,xsmmodit,MMR*np.ones_like(Tarr),molmassCO,g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "dtaumdirect=dtauM(dParr,xsmdirect,MMR*np.ones_like(Tarr),molmassCO,g)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "computing delta tau for CIA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec.rtransfer import dtauCIA\n",
    "mmw=2.33 #mean molecular weight\n",
    "mmrH2=0.74\n",
    "molmassH2=molinfo.molmass(\"H2\")\n",
    "vmrH2=(mmrH2*mmw/molmassH2) #VMR\n",
    "dtaucH2H2=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrH2,\\\n",
    "            mmw,g,cdbH2H2.nucia,cdbH2H2.tcia,cdbH2H2.logac)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The total delta tau is a summation of them"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "dtau=dtaum+dtaucH2H2\n",
    "dtaudirect=dtaumdirect+dtaucH2H2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "you can plot a contribution function using exojax.plot.atmplot "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from exojax.plot.atmplot import plotcf\n",
    "plotcf(nus,dtau,Tarr,Parr,dParr)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "radiative transfering..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import planck\n",
    "from exojax.spec.rtransfer import rtrun\n",
    "sourcef = planck.piBarr(Tarr,nus)\n",
    "F0=rtrun(dtau,sourcef)\n",
    "F0direct=rtrun(dtaudirect,sourcef)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The difference is very small except around the edge (even for this it's only 1%)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure()\n",
    "ax=fig.add_subplot(211)\n",
    "plt.plot(wav[::-1],F0,label=\"MODIT\")\n",
    "plt.plot(wav[::-1],F0direct,ls=\"dashed\",label=\"direct\")\n",
    "plt.legend()\n",
    "ax=fig.add_subplot(212)\n",
    "plt.plot(wav[::-1],(F0-F0direct)/np.median(F0direct)*100,label=\"MODIT\")\n",
    "plt.legend()\n",
    "#plt.ylim(-0.1,0.1)\n",
    "plt.ylabel(\"residual (%)\")\n",
    "plt.xlabel(\"wavelength ($\\AA$)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax=fig.add_subplot(212)\n",
    "plt.plot(wav[::-1],(F0-F0direct)/np.median(F0direct)*100,label=\"MODIT\")\n",
    "plt.legend()\n",
    "plt.ylim(-0.1,0.1)\n",
    "plt.xlim(22938,22945)\n",
    "plt.ylabel(\"residual (%)\")\n",
    "plt.xlabel(\"wavelength ($\\AA$)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "MODIT uses ESLOG as the wavenumebr grid. So, we can directly apply the response. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "applying an instrumental response and planet/stellar rotation to the raw spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import response\n",
    "from exojax.utils.constants import c\n",
    "import jax.numpy as jnp\n",
    "\n",
    "wavd=jnp.linspace(22920,23000,500) #observational wavelength grid\n",
    "nusd = 1.e8/wavd[::-1]\n",
    "\n",
    "RV=10.0 #RV km/s\n",
    "vsini=20.0 #Vsini km/s\n",
    "u1=0.0 #limb darkening u1\n",
    "u2=0.0 #limb darkening u2\n",
    "\n",
    "Rinst=100000.\n",
    "beta=c/(2.0*np.sqrt(2.0*np.log(2.0))*Rinst) #IP sigma need check \n",
    "\n",
    "Frot=response.rigidrot(nus,F0,vsini,u1,u2)\n",
    "F=response.ipgauss_sampling(nusd,nus,Frot,beta,RV)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(22920.0, 23000.0)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wav[::-1],F0)\n",
    "plt.plot(wavd[::-1],F)\n",
    "plt.xlim(22920,23000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}