Extragalactic Gamma-Ray Bkg.ipynb 213 KB
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    "* Emissivity (ph/MeV/cm^2/s/sr/bin-z) as a function of redshift and Observed Energy (MeV)\n",
    "* First line are Energies in MeV \n",
    "* First element of each subsequent line is the REDSHIFT\n",
    "\n",
    "\n",
    "> Besides, just to make sure, the emission matrix you sent is not\n",
    "> corrected bu EBL right? So it is the result of the integral over the\n",
    "> luminosity function and averaging over the pdf of the spectral\n",
    "> parameters for the template spectrum chosen for the blazar class,\n",
    "> correct?\n",
    "\n",
    "yes\n",
    "\n",
    "> And the PLE in the file name means that this spectrum is a PWL with\n",
    "> exp cutoff? what is the value of the cutoff? You mention 10 TeV, but\n",
    "> for Emax I presume.\n",
    "\n",
    "In the paper we had 3 models for the Luminosity Function, the PLE was\n",
    "one of them. It’s in between the LDDE and the PDE.\n",
    "The spectral model is the eq.11, stopped at Emax=10 TeV and not absorbed\n",
    "by the EBL.\n",
    "\n",
    "\n",
    "\n",
    "> Another question : the spectra are not redshifted (id est equivalent\n",
    "> rest frame) right?\n",
    "\n",
    "The luminosity and energy are in the observed frame (so the LAT band). I\n",
    "think it says that also in the 3 lines of comments.\n",
    "I checked the code and it seems this way. It makes sense because EBL\n",
    "models use energy in the observed frame (not the rest one).\n"
   ]
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     "text": [
      "101\n",
      "redshift\t Emin (TeV)\t Emax (TeV)\n",
      "0.001168203 \t  0.000107533173997 \t  107.533173997\n",
      "0.001561193 \t  0.000107575384149 \t  107.575384149\n",
      "0.002086388 \t  0.000107631794136 \t  107.631794136\n",
      "0.002788261 \t  0.000107707180701 \t  107.707180701\n",
      "0.003726248 \t  0.000107807927727 \t  107.807927727\n",
      "0.00497978 \t  0.000107942566716 \t  107.942566716\n",
      "0.006655007 \t  0.000108122498995 \t  108.122498995\n",
      "0.008893791 \t  0.000108362961636 \t  108.362961636\n",
      "0.01188571 \t  0.000108684316774 \t  108.684316774\n",
      "0.01588414 \t  0.000109113778944 \t  109.113778944\n",
      "0.02122766 \t  0.000109687714137 \t  109.687714137\n",
      "0.02836876 \t  0.000110454723263 \t  110.454723263\n",
      "0.03791218 \t  0.000111479760056 \t  111.479760056\n",
      "0.05066606 \t  0.000112849624973 \t  112.849624973\n",
      "0.06771043 \t  0.000114680321552 \t  114.680321552\n",
      "0.09048861 \t  0.000117126873476 \t  117.126873476\n",
      "0.1209295 \t  0.000120396459457 \t  120.396459457\n",
      "0.1616109 \t  0.000124765955064 \t  124.765955064\n",
      "0.2159778 \t  0.000130605378749 \t  130.605378749\n",
      "0.288634 \t  0.000138409214082 \t  138.409214082\n",
      "0.3857321 \t  0.000148838297677 \t  85.6474866131\n",
      "0.5154947 \t  0.000162775800089 \t  61.8856201031\n",
      "0.6889101 \t  0.000181401949348 \t  45.5661020449\n",
      "0.9206635 \t  0.000206294049009 \t  39.308510464\n",
      "1.23038 \t  0.000239559985926 \t  34.6269394494\n",
      "1.644287 \t  0.00028401678481 \t  31.1418208847\n",
      "2.197435 \t  0.00034342913925 \t  28.5651872492\n",
      "2.936665 \t  0.000422828133321 \t  30.6311864283\n",
      "3.924576 \t  0.000528937381635 \t  38.3181209314\n",
      "5.244827 \t  0.000670742504968 \t  48.5909926422\n"
     ]
    },
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dunVLPSXphx9+mCZ5yY6UA/6tW7emFomCM6L697//Pc02F5PVa/Ka/v37M3Xq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\n5CwKJEmSpCJnUSBJkiQVuf8Pusca5HyUwzwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f654849f890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline \n",
    "from numpy import loadtxt, size, arange, nanmin, where, nansum, zeros\n",
    "from matplotlib.pyplot import plot, matshow, figure, show\n",
    "from matplotlib.colors import LogNorm\n",
    "from src.analytic import Ethreshold_gg\n",
    "\n",
    "import matplotlib as mpl\n",
    "label_size = 20\n",
    "mpl.rcParams['xtick.labelsize'] = label_size\n",
    "mpl.rcParams['ytick.labelsize'] = label_size\n",
    "mpl.rcParams['ps.fonttype'] = 42\n",
    "\n",
    "mat = loadtxt(\"Results/EmissMatrix__PLE_Paper_10TeV.txt\",unpack=True)\n",
    "E = mat[1:,0] # MeV\n",
    "z = mat[0,1:]\n",
    "Emiss = mat[1:,1:] # MeV\n",
    "i_min=min(where(E>Ethreshold_gg()*1e-3)[0])\n",
    "Emax=zeros(size(z))\n",
    "Emin=zeros(size(z))\n",
    "print size(E)\n",
    "\n",
    "print \"redshift\\t Emin (TeV)\\t Emax (TeV)\" \n",
    "for i in range(size(z)):\n",
    "   Emin[i] =  E[Emiss[:,i]==max(Emiss[:,i])][0]*1e-6 * (1+z[i])\n",
    "   Emax[i] = E[Emiss[:,i]==min(Emiss[:,i])][0]*1e-6 * (1+z[i])\n",
    "   print z[i],\"\\t \", Emin[i],\"\\t \", Emax[i] \n",
    "\n",
    "fig = figure(figsize=(12,9))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(z,Emax,linewidth=2,label=\"$E_{max}$ from Ajello et Al\")\n",
    "\n",
    "zi,ctgg,best_fit,dominguez,finke,franceschini,gilmore,lower_limit = loadtxt(\"Results/Ecut.dat\",unpack=True,usecols=[0,1,2,3,4,5,6,7])\n",
    "# lisser les courbes => moyenne des points par N\n",
    "N=4\n",
    "z=zi[::N]/N\n",
    "d=dominguez[::N]/N\n",
    "for i in range(1,N):\n",
    "   z=z+zi[i::N]/N\n",
    "   d=d+dominguez[i::N]/N   \n",
    "ax.plot(z,d/(1+z), drawstyle='-',color='k',linewidth=2,label=\"$E_{cut}$ computed with my simulation\")\n",
    "\n",
    "ax.legend(loc=\"best\",fontsize=\"xx-large\")\n",
    "ax.set_xlabel(\"$z$\",fontsize=\"xx-large\")\n",
    "ax.set_ylabel(\"$E_{max}$ [TeV]\",fontsize=\"xx-large\")\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "ax.grid(b=True,which='major')\n",
    "\n",
    "show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QyM/PT9z2pkVi7NixSmV//vlnqlChAqWlpYnb+vfvTzKZLN9z1q5dmwRBoF27duXZV1CL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tuJiG8Pse19gJuAXYF/Bq4BXgV2AaYB84EjgRNKhr0AOBb4BDCvzTKnAL8qXpOIeA74tqSpwPkl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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6528557050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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US9OhTUoppZRSSqk2SRMJ1WHoOE1nafydpfF3jsbeWRp/Z2n841u7mSOhYgVD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\nWP3C0tMlqejRQ+Lc1BY9QT47W5cRVqqNOL7f8SS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Py5apOIwRI5Sf+L//rVyexo9X2W7O\nPltVId+5s/u+l0ZjkJuZS5w1DqfXyfKC5ZEWR9NH6ahrUyNwuZTyZaO/GlgvpTzL6P8OeEpKGduZ\nwvYGtGuTRqPRRAE7dijrxJAhqn/VVSrG4q67wo/Pz1eB3YFWUtL8+vDhKpvUEUeo3Pzh0mpqNJ3M\n9Quv5/HvHue6mdfx2DGPRVocTZQRzTES21BVra8VQgwG8oALQxSLG4BbpJSpnSlsb0ArEhqNRhNl\nSAnHHacyN2Vnq3MPPwy/+pVSEMKN37BBZX766isVVFpT03zMsGFKoZgzR6WtHTFCZ4LSdDpL85cy\n529zyEnOYdtV2xD6GdOEEM0xEu8AlwkhngLeAxpRRegCTAS2H6BsGk2nov00I4ue/8ii578dhFBp\nYANKREkJPPBAU7pLnw+eeaYpLkIIFbh91VWqSFd5uUqBef/9cMwxkJAA27erTFALFrB41ChVG+P0\n01WMxapV6p6abqE3P/uzsmaRYEtgR9UO3l7/dqTFCUtvnn9NxxWJe4A3gXNQQdfnBlK+CiGSgFOB\nLztFQo1Go9FoupPYWJUBKjlZ9TdsgD//ucmiUFYGt9zSNN5igRkz4NZbVZG8igpYsULVqTj1VJVL\nv7QU3nlHxVjk5io3quOPV+lrS0u7/ztqegVmk5lpg6YB8FPpTxGWRtMX2WfXJiHEm8CHwKdSyqp2\nxpmARKBeShm9aQQihHZt0mg0mh7Gxo3w9ddw0UWq/5//KMUiELy9ahU8+yz89a+q7/Wq+ItAhigp\nYfNmVbAr0HbsaLq/EMoF6tRTVRs8uPu+m6bHs3DrQua/MZ/xGeP56VKtTGiaiKoYCSHEt8A0QAJL\nUa5M/5ZSbu068XofWpHQaDSaHs727arWxJw5qv/MM7B6tcoEBcqa8cEH8M9/qv6uXSoj1IgRTfco\nLIQvvoD33lMKidvddG36dBWf0VaMhkYTgtvnJuORDKpd1fx0yU+M7z8+0iJpooSoipGQUs4CBgIX\noVK93gNsFkJsEEI8LISYI3SUjyaK0X6akUXPf2TR89+JBAKpA5x5Jtx+e1N/0yY46KBgd/E996hC\ndwGWLVNjzj9f1booK1O1K371K+VW9b//wU03KcVj8mS4915Yv74bvljvpLc/+zazjYP6qeftriV3\nRVaYMPT2+e/r7FeZTinlbuBvwN+EEHbgSOAE4NfA74FyIcSnKGvFZ1LK2k6WV6PRaDSa6KJfv+b9\nO+5Q7k0BLBaYO7ep/+abkJMDv/iF6v/4I4wcqWIoGhpUnMW778LHH6tCemvWqHv27w+jRqk2cmTT\n6+HDweHo8q+piV7OmnAW3xV9R2FNYaRF0fQxOpT+NeyNhJiCUipOAHIBL7AEuF9KuaRTPqQXoF2b\nNBqNpo/z9tsq69O4cao/fz4sWACnnab6K1Yo5SA2VqWXfffdpuxQ4RBCZZwKVTDGjFFF+OLju+c7\naSJKvbuefo/0w+l1UnhtIYMSB0VaJE0UEFUxEvt1UyEG0KRUfC2lfKTTP6SH0p4iUeP1krJ0KSYh\nMIM6CoEp8LrFObMQWIQgzmwmwWwm3jgGX1sszc7Hm82YhcDl9+Py+3FL2ezY7Jzfj1dKEiwWEs1m\nkiwW1cxmEkNeJ1ksJFos2E0dTQDWHL+UOP1+Gv1+dfT5cPr92EwmUi0Wki0WLJ30WRqNRhMVPPqo\nqqCdkKD6Y8bA66/DNJWNh5ISyMhQcRVbtqjA7UDbskXFbIRLJ2u1KmXimGNUmzSpKQBc0+s45a1T\n+GDjB9xx2B3cfcTdkRZHEwX0WEVC0zbtKRJVHg8py5Z1s0Sdg10IYsxmzCgFJ6D4mA3Fx9yibwKc\nAWUh5OjZh+cxyWwm1Wol1WIhxTimhhyTLRZshpJlEQKrcVy/bBm5c+ZgNZmC1yxCEGsyKeXIbCbO\nbNYFfbqIxYsXMzfUvUPTrej5jxz7Nff19UqpeO01teh3u5VL0+bNkJ4OTif87W9w6aVqvN+viuHt\n3t1cyVi1Cn74QV0PkJEB8+YppWLePMjM7PTvGo30lWf/pi9u4uHlDzM0eSg7rt6x9zd0E31l/qOR\n7lAk9itGQtN5FDidPFpQgEBZGUyAAB7IyeGP+fnsPuQQ/EClx8NBP/zA97m5/L20FLffz5NFRdyU\nnY0A4k0mbs/LY9HkydT6fJS73Vy/bRtXZ2Wxuq6ORr+fVbW1jIiJwSklQkoa/H4mxsdjN5mQUrKq\nro65yck0+HxI4Jvqak5PT8dmMlHv8/GfigpmJyZS7fNR6fGww+nEZjJR7fVS7fFQ7fPhkhJXqE/w\nARBjMuEwmYgxmbALgdVkwg9UeDxUer1U+3xU+3zs95/JHTtUPvd2MEFQqQhYXgIWmUTjnMNkwm7I\naBeieb/FMcFspp+h5GhLikaj2StxcfD3vzf1N29WVoX0dNUvKoKHHmpSJIqKYOZMdRw1StWzuOMO\nVSCvokK5Rn3+OSxcCAUF8MYbqoGyUBxzDBx9NBx6KNjt3ftdNZ3KeZPP4+HlD+P1d87/xRrNvqAt\nEm0ghDgMFUCei8pWdb6U8tV2xt8C3A88I6W8sp1xUkrJipoapq1c2er6lPh4DklM5OlRowCo83q5\nZPNmrsnKCjt+YlwcDpOJ76dOBaDY5WLyihX8Z8KENsfvcrspmz0bgDK3m4P+9z8WTprEwT/+2Gr8\n+Lg49ng8FB9yCAAlLheTVqxg4cSJzF29GqsQVHi9ZDscWIQgx+Fgt9vNfyZOxCclpW43v9+2jTuH\nDuXxggKklPzc0MDspCTiTCaSLRZ+qq/nrXHjcJhMFDidnLZuHUumTOG7mhr2uN3ctH07n06cSIzJ\nhNPn49ItW3jloIOo8HgodLl4t6yMWUlJVHg87DHOxZrNeAwXLaffj0kIPFLiMVy2fKD6UtLg81Hj\n81Ht9dIYunvXySRbLPSzWkkzjv2sVtKMY+B1iuG+FTgmWiyYtIVEo9EEKCxUaWVvuEH1V6+GK66A\npUtVf9UqOO88FaANSnm45BIVuL1xo1IoFi6EJUugsbHpvikpcNZZKpNUbm5T8T1Nj6GguoDsP2WT\nlZhFwbUFkRZHEwVoi0RkiQPWAq8Cr6HqZ4RFCDETuNAYv0+a2WCHgz+NGIFfSiQqNsAP9LfZ+L8Q\nc3O8xcLfx46l0Onk5uzs4DiflPilZJDdzg3Z2cHx6VYrK6ZOxeX3c2Z6Ok6/n11uN5k2G14pGepw\nkBWy65RosfDo8OHYhGBsbCxuKanz+bAIgcfvJ91q5a6hQ4PjJXBmRgZOv5/qEJ/cPKdTTZrJRJXX\nyyDjM3xSkud0Emc285+KiuD4/N27AZhkKCpJFvUoOkwmyjweNjU0MH/t2uD4iStWADA2NhYJDI+J\nYXhMDAn19fyvtpabsrM5fd06zEKww+lkTlIScWYzGTYbS6qr2TB9OgAb6us55eefWZ6by6LKSiq9\nXh4rKODTCROIN5tp8Pl4triYGwcPptrrpdjtZml1NWPj4qj2eqnweKjyerGZTDiNuJLA0WXEdwTO\nOf1+arxeyr1eyo33VXm97E/hFQEkhSgWocdQVzJLGBey0HN2Iciy2xnqcDDU4SDZat0PKTQaTdSQ\nldWkRIBKDxtQIkAVs3v88ab+okUq4FoIlZK2okIpFBUV6n0LF8Inn6j0ss88o9qECUoZOeccevCh\nvwAAIABJREFU5Q6l6RH4/L5mR42mO9AWiX1ACFELXC6lfC3MtSTgR+B3wF3AT1LKq9q5V6/I2uT1\n+6n1+fBIidsI0nYbu/kJFktQkXD5/WxuaCDTZmNhRQW1Ph+bGhoY4nDg9PtJs1iYkZTEJCOziN9Q\nZApcLq7bujUYO9FoBF6PjYvjseHDGRkbC8Aul4t/79nDuLg4Dlu9upWcU+LjiTOb+WbKFBYvXkza\nwQdz9oYNPDtqFIeuWtVq/Pi4OMzAaiPIcW1dHeds2MA/x47lqi1bkMCqujrO6d+fBLOZWJOJj8vL\n+c6wCG1paOCuvDz+NmYMtUag+OslJdyQnU2V10uRy8W6+nrizWb2GBaU8sDR66XSUDgqDaWjJlwA\nZSeQaDYHlYohLY5DHQ5SLBYEdGq8iPaTjSx6/iNHROe+vh4qK5UCAnDXXSrO4sEHVf+tt2DrVjju\nOHjlFeX2FMgOZbHA8ccrK8Vxx6ng7R5IX3n2fyj6gekvTsdqsuK+3b33N3QTfWX+oxFtkegZ/BV4\nW0q5pC8V5LOYTKTsg8+/3WRigqEknLMPgX0mIUi0WBhnsbBw0qS9jh9ot3PJoEE0+HysnzaNep+P\nBr+fep+Pep+PJIuFeampwfET4uNZO20aP9fVcWq/ftT4fNR4vTgNxWio3c7lg5rS5sWYTJyWnk6x\ny8Wiqqrg+aeLigDIjY/HEvLPXuH1srWxkW9raphrKDYm4KmiIpIsFsbExpLndLLy4IMBWF9fz915\neTw5ciRLqqrwScmG+nrOzcxUi3kpKfJ4iDObmykZlYbMPinxSRl01wr0W55rMJSznU4neU4nNT4f\na+vrWVtf3+78CmiWJSx4bJE5LMViIc2IBUmzWkk1XLhSDZetVIuF7Y2NjHA6SbZYiDWbtcuWRtMd\nxMWpFuDqq8Hjaep/+qmKq5gyRbXp01VcxsqV6tqHH6qWnq4sFOefrywWmqhjQMIAADLitBVJ033s\n1SIhhDgEmA1skFJ+bJwbCswC8qWUPTPN0H7QlkVCCHEhqtL3TCmlTwjxX/qIRaKvUeHxsLK2lloj\nnqLGsBYMsNk4MyODOLMZUDEtO10udrlcnLF+PTVeL6FRF7MSE5kYF8dzo0cDsLCigkcLCrg+K4tj\nf/qp1efmGhaVr6dMAeCHmhqeKSri5uxsXi4podHnI9/l4pz+/Um1Wmnw+djS2Mh1gwcDSlFZXFXF\nZYZy1GAEzNtNJna6XOQZisXOFsdaI/C+K4kzmYg30hK31RItFvrbbAwIaZk2G/EWvQei0XQKpaUq\nyDo5WfVnzoR77lEB2MXFcPfdyj1qy5am9+TmqniKM85QrlSaqKCwppDBTwxmUMIgCq/Thek0UWCR\nEEJcjgo4/gE42QgoPklKmWdsvm8DzF0pYFcjhDgbeC7k1Px9UY6EEKNRwdWHSikD/ifCaJpeRqrV\nylEhlo22iDesKePi4qg89FCk4apV5fVSbcRWjDLcsgAOSUzk+VGjKPd4OC09nUKXixK3GxNQ6fWS\naDYzJmQ3sdDlosrrZX1DA48UNAXT/dtwRZiekECa1RpUJHY4nXxcXk5ufDwPFRTQ4POxsaGBywYN\nIs1iIdZkIsls5smRIwGQUgbdmaQRj+M3LBzB2ByaYnR8gNvvp8qIA6loeTRctipCztV4vdT7/cFW\nGro7uo/Em83NlIsBdjuZNhv9rVbSbTb6Wa2kGy1ep/TVaNqmf/+m11LC9dfDEUc0XfvoI/jiC6ir\na3J9WrlStd//XmWU+vWvVTG9PpJONloJxEborE2a7qRdi4QQ4lXgIimly+hPBm4CrkZ5bOySUnZ5\nTkshxGnA4cBkYBIQD7whpTy3nfdkAfcA84FUoBj4ALhbSlkVMi4eCLUD7pJSOlvcq5VFQghxHvAy\nEOrEbkbFI/uAOCllqxWStkhEjp7opxm6sAeoNdyaGnw+PiwvJ9/pJN9Ix1vh9TIpLo7j09KC7lw7\nGhv5ub6eSq+X/9u4sdX9pyUkMCY2ltcOOgiAt3bv5rOKCs5MT+fOvDy8UiKAw5OT6We14peSdJuN\niwYOBGBJVRU7Ghs5b4AyqRe7XNT5fMEYllBC599vuFvV+nzUtdOqvF5K3W6KQ5vLhWs/fkN2IZRi\nEaJgBFLy2kymYIB6s4D1QLA6zd23BjscDLbbSeyBFpGe+Pz3Fnrs3FdWKovEn/6k+rW1ygLx1FPw\n73+rTFBGog1MJpg7F848E049Ffr1i5jYLemx87+frNy1kqkvTMVisuC5ff83aLqKvjL/0UjELRLA\nmoASASClXC2EuAClTHzSlYK14DZgIlALFAJjaD+L0nBgOZCOUh42AjNQCtB8IcRsKWUFgJSyDqjr\ngEzvA/8L/Vjgb8Bm4I/hlAiNZn9puZOeYLGQYCxiQy0VbZETE0NOTAwFTifvjhtHuRHcXe71ssfj\nYYDNxtEpKcHxWxoaGGCzked08r/a2uD5H+vUT2RGQgLTExOD59fU1bG1sZG43bu5Iy8Pj9+PH5iX\nkkK61YrT7yfWbOaenBwAvq+pocrr5ZjUVOItFordblx+P1OMir7VXi9SynazSkkpqfJ6KWmhXBS7\n3ZR5PKq53ewxXjf4/RS53RS5Oy/4MMlsDioVg+12skNeD7bbybLbcZh7tLFWo1EpYQNKBKhUs0cd\nBeeeq9rKlXD22ap+xaefKheoRYvg8svVuF//Gk4+ea/1ezSdQ/94ZV3SMRKa7mRvFonTUbv/9wDH\nSil/Drl2CfC0lLLLt+aEEHOBAinlNiHE4cB/gb9LKX/bxviFwDzgSinlMyHnHwOuBZ6XUl66l8+M\nA0Ya3WXAg8BHQLmUMmyCZiHEYlSMxF7rSGg00YhfSlxGsPqWxkY2NTRQ4nZjFoI9Hg+D7HYOS0pi\nsrHwX1tXh9Pv55vqan6/bVur+01PSODo1FTuNRSJ+3fupM7nY1RMDPfv3IlbSuxCcHhyMuk2G6Uu\nFxk2Gw8OHw7Ay8XFFLhc3GmkIN5YX49bSiYaAfz7QoPPF8yQVRY4ut1UeL0qIL1FcHqrc0a9kXKP\nhwKXiwKXa5/qjSSazcq9ymYLulm11c+02bDrgoWanoCUTTUm/vxnlTb2+eeV9eKhh+CddyAvDwIZ\n52w2OOkkuOYamDVL16foQopqish6IosB8QPYdf2uSIujiQK6wyKxL8HWw4EJwH9a7rILIQ6VUi4N\n/86uwVAqFtGGImHIuwXYIaUc3uJaPFCCsmb0l1I27MPnYIwP/EO8IqW8oI336GBrTZ+kxuulwOWi\nLMQqsMfjYVxcHHOTk0kzLAxfVlRgEYKvq6u5My+v1X2OSE7mxLQ0rjFiPK7fupX+NhsJZjNPFBbS\n6PcTbzJxWHIyGTYbDT4fY2JjudBwtdpQX4/DZCInJqbLvqtsoVTkO52tXu9yu/Hu5++8n9VKlt3O\nIJtNHQ3LRugxUcd7aKIJn0+5OwUCta+6CgYMgAUL4L33VE2K0CQS06aprFGnn64UDE2nEihIlxGb\nQekNpZEWRxMFRIUiEW3sgyKxAJWSNazVIcRacZSUclHL612NViQih/bTjCyh81/r9aoK6yGKx263\nm9lJSRwR4mpV4/Xil5IH8/N5qKC1ITA3Pp6LBw4MxmxcvnkzY2Jj8UnJSyUl1Hm9ZNhszExMJMNm\nI9ZkYk5SEgcb7llbGhpIsVjoZyxqdjqdJJrNpBiKT7HLRZyRPWp/8BvuVwE3q1DlquW5Mo+Hkn1U\nPOLNZrLsdnIcDnIcDobFxDDMOOY4HO3KqZ//yNFn5n77dpVqNhDAfeKJMG8elJTAc8+pIniglI3L\nL4eLL+6WWIq+Mv+rS1Yz5fkpOkZCEyQaYiTaRAhhAY4FhqGCmVsJKqW8o+OidZjRxnFzG9e3oBSJ\nkTRZHDQaTTeSYLEw2mJhdJig7FACC+NbhwzhvMxMdns8lBqL8N1uN2NjYzkyRPEY4nAwPi6Od8vK\n+NmokZHncgXjPXLj4+lntQYViTvy8jghLY1Cl4t/7d7NLrebETExzEhMJMNqZVFlJedmZnKWsTC6\nZft2psTHc4ZR7XdVbS39bTYGhlSLB1UPJdWop7G37whK8dhtxHEUulwUulwUtTgWGoHsGxsa2NgQ\n3piaZrEElYqAkjEiJoaxcXHoDQxNlzNsWPP+eefBkUcqi8Wtt8Lo0arI3c6dcNttcN99qjbF1VfD\n+PEREbk3EYiN6BcbPYHumt5PhywSQohcVLBxuwmkuyKj0z5YJP4KLAAWSClfDnP9fuAW4BYp5UOd\nLd/e0BYJjabrKfd4KHS52NrQQLXPR7XXy26PB7sQ/DojIxioftv27RyenMw/d+/mbyUlre5zZHIy\n12Zl8Utj1/ToNWu4LiuL/9XW8p/ycnY6nYyNi+PghATSrVa2NzZydv/+HGq4eqyoqSEnJibo2nUg\nSCmpNlzIdjidbG9sVMeQ1+3FbqRYLBwUG6taXFzw9RCHQxcH1HQ9FRVwwQXw7rsqIPuJJ1SAdoCj\njlJxFMceqzJAafab4tpiBj4+kMz4TIqvL460OJooIJotEs8DKcAVqOxIVe0P14QyefJkJk+ezNCh\nQ0lOTmby5MlBs9/ixYsBdF/3df8A+2lWK5UrVpDW4nrJzp2MMfpH5edDfj5/nDWLSwYO5Mv//pcq\nr5e0adPY7XYzctMm4quqVFpL4OLSUtizh3WZmcrKsXo1pcB/J08GIHP9esZnZ3PoL38JwPlvvcXv\nBgygcMwYvqysJO+77xgeE8PMww6jn9XKzu++Y35qKr8+5hgAPvnqK2JMJo4w8viHfh8hBKuXqRI3\nJ4b5vlJK3v/iC3a53aRMm8b2xkaWLVmiYjbGjqXS62X511+zHMCQl9WrsQnBuNmzOSg2lpi1a5kQ\nH88lxx2H3WSKqn9P3e/h/dRUFl9zDXzzDXPnzYPGRhZv2QLjxzP388/hyy9Z/OWXMHgwcz/5BMaP\njy75e0B/6ZKlsAN843xRIY/ud39/9erVVFVVkZeXx+rVq+kOOmqRaATuk1Le3/ki7fWz59K+ReIR\n4HrgeinlE2GuPw1cBlwqpXy+i8VthbZIRI7FixcHf3Ca7qc3zX+h00m+y9Uq3mFKXBynhlQ6v3jT\nJm7JzubKrVv52CgaGEq23c6H48cHs2BN+/FHnhwxgqeLiviisjI4JtNmI9Vq5YLMTA5PTm4VcF3k\ncqm0uRYLcWECsgNKRvK0aWxoaGBDfb06NjRQHCYtbozJxKFJSRyZnMwRKSlMjY/HYjJ1ytz1RSL9\n7EspcUuJVYiw1qd19fVUe724/X7cRuY2t5T8Ijk5bCrmV0tKKHa58BqZzQIZz64YNIhBLdz8AB7Y\nuZM8pxOJylwipQSvl9ssFoaOGaMyPi1YoCwUjY08eOml5F90EabYWExCYELVebkqK4tsh6PV/d/a\nvZtyjwerENhMJuxCYDeZmJucTIrV2mr+KzwezEIQYzJhFaLXJDD4qfQnJj43EYuw4LlDx0hootsi\nUQjUd6YgnUig6tboNq4HUrq2FUOh0Wg07ZLlcJAVZkHTkudHqz9DL4waxS63m22NjTiNSuB7PB6k\nlAwNuU+118tQh4MSQzkBgkeAryor+WrSpKBr1uMFBfy2f38u3LSJT41AVjOQZLGQZLHwypgxHGYo\nHqk2G3NTUjgyJYV/7d7NyNhYzjabEUClx8Nuo/r4tzU1/FxfzxeVlUqZ2bGDBLOZw5OTOTI5mSNT\nUpgQF6fdoQ6AnU4nNV4vTr+/WZuTlBR24f50YSF5Tmer8Q8NH87wMBnK5q9Zw8q6Olx+v2rG5tWP\nU6eSayitofx2wwZW1rUup7Ri6lSmhpHnycLCsON/1a9fWEXinbKysOMvyc1lKKh6FUccARddBHff\nzduTJ7Oyqgqqmjs7/KZ//7CKxMP5+WHv/0NuLgeHkX/+2rX8YMRNmYE4s5k4s5lPJkwIKvWh/Kmg\ngD0eDwkWC0lmM8nG7+uQpCSSoqg4ZXpcOgBpsWkRlkTTl+joL+BPwMVCiOellI2dKVAn8F/jOE+0\n2P4XQiQAs1FK0HeREE4TOfSOSGTpy/OfabeTabeHXcSFsnnGDAA+mTiRSo+HZ4qK+EVKCjU+H+Ue\nD7du3x5cSEkpuTMvjwsyM0m2WBhos1HsduMDKrxeKrxeFlZUcHBCArFmc7P5/0tREUuqq1t9/leT\nJvHX0aMpdbtZXFXFospK/ltVxZbGRj4uLw9aVcyomIurs7K4MTsbWwtrxV+KiihwubAZO8Q2IbAK\nwekZGWEXmkuqqoK7xGZjB1oAMxITgxm0QvmxtpYar1fNAypYXaIqtYdbiC+qrKTM42lWH8QrJSf2\n60d/m63V+GeLitjudOLx+/EYu/luv587hg4Nu3A/d8MGVtbWBhftgQX8V5MmcXBiYqtn//R164IL\n2VC+z81lehj5Xy8tbVYgMsDvBw8OK08gY1goViHwtGENnxgfj934dwr+e5lMJLZRVPG3mZnMc7mw\nBCrAG61l0oEAt2Rns8fjQYT824JKjhDkiivUMTeXmy+9lLJPPsE/aRK+3/0OvxD4pCSrjfufkZHB\n9MREPCEWFZffH4xNajn/MSYTCWYzjX4/Ximp8fmo8fkwt6Ecv1RSEkzeEMrKqVODxTSbybNuHYUu\nF6kWC2lWa7AtGDAg7PPW2+nLf/v7Ah1SJKSUzwghYoF1Qog3gHzAF2Zcq2DnrkZKuV0I8TlwNHA5\n8HTI5buBWOC5KFSANBqNBgC7yUSm3c69LbLgnD9gQPC1V0ruHDKEZKuVf4wdS63Xy4Dly6mYPZsa\nn4/dHg9TfvghWMzPLyVHrVnDZxMncnpGBhPj4yl2uZBArc9Hnc9HurHw6m+zcWZGBmca2ammrljR\nbMfXB+zxerk9L4+/7NrFlYMGcfHAgaQa73+jtJTlNTWtvtfBCQlhFYk/bN/OsjDjv5k8ORi4HspV\nW7aEvf/SKVOYHaaK8m07dvBtmPHj4uLCLuxeLy0NO/6igQPDLtx3NDayPkwmrbaC30fExNDg8xFj\nNuMwmYItvo2F++WDBnG6291srMNkYkQb9VI+nDABIOjiYzeZ2rUg/W3MmDavhePqrKz9Gn9axn5U\nWk5N5fQ1a6CwED78EOrr4dFH233LTdnZ+yXPkilTgq89RgHOOp+PjDYW+ddmZVHoclHj9QaTN1Qb\nqaXD8WNtLdudzlbnT0tPD/u8Hb5qFWUeD/1tNvpbrepos3HxwIH7lajB51fLMJ9stRzTaLqMjsZI\nDAY+BCa3M0xKKcP/Vdz/zzsZONnoZqKUhO1AoBhemZTyhpDxw1BB4BmGnBuBGcBcYBNwiJSysjNk\n2190jETk0H6akUXPf9fT4PMRayxGKz0eHsrPD1YJf/Pzz7k+Pp6iQw4BlJ/40O++o/rQQxFC4PT5\neKywkJuzs1vtzNZ4vdT5fDQYbYvTydKqKhZWVrLBWEDHmkxcMGAA12Rl8W11NQUuV9DX3m3s7F+T\nlRW2WOCt27ezvr4eH+CTMmhheHzECMYZblyhXLllS7MdYhMq5e4Tw4czPkzV89u2b2dzYyNmYwc9\n0G4cPJiRYdLzvl5Swi63G6uxELcKgU0Ijk1LC7sQ3NzQgMvvDy7aHYaffoLFglkI/ezvL9XVsHIl\nHH00eL3w7LNwySUdvl13z//G+nr2GK6Cezweyo1265AhYWu99F+2jN2e1jEN+TNnMjiMK9eJP/2E\nV0oGGQUsBxkFKzM9xUx9fgJmYcZ7h7dLvltH0M9/5IjmGIkXgPHAo3RP1qZJwG9RVmyMYw6qhgVA\nHhBUJAyrxMHAPcB84DhgF8ol624pZWubvkaj0fRwYkN2tFOs1qASAZBiNvMfY6caoNjtZm5I4Pbm\nxkZeLynhD0OGAEoRebWkhGsGDybRYmm2AJqYkMCv0tORUvJFZSWPFRTweWUlTxcV8UxREaf068d1\ngwdzSGLiPgWy/rFl/YG98NTIkXsfFMJ9+3n/czMz92v8qH2oFaLZD5KSVMzECy/A+eer4nU5OWBk\nN4t2xoRRfttjrZElrtTtptSolVPqdoe1eEgp+bKyMqy1a/1k9btoGSPx4M6dpFitZNvtZDscZNvt\nJERRbIemZ9NRi0Qd8JSU8pbOF6l3oy0SGo0mGtnR2MgPtbXBYnvvl5Xx/K5dfDZpEgBbGxr4tqam\nzUX2T3V1PF5YyBulpUFf/BkJCVw/eDCn9Ounsz5p9p9331WKRG0tJCTAsmUQogz3RaSUrKitpdjt\npsgoWLnLUDxeyslgwOMDSI9NZ/cNuwHw+v3Yv/6almpHisVC0axZxLThTqfpHXSHRaKjikQh8KCU\n8um9DtY0QysSGo2mJ/BjbS17PB6OSU0F4ImCAjY3NvLsqFEAfF9Twy6Xi1PS05u9r9jl4umiIp7d\ntYtKIyB6qMPB1YMGceHAgcHUuBrNXqmvV25O110Hb70F2dnw3XcQEiukaSJQkC4tJo09N+4BoNHn\n46H8fApcLvJdLvKN1NWxJhPlhx4aYYk1XU13KBId3SJ6Gfi1EEJvMWl6DIHiLZrIoOc/suzv/E9N\nSAgqEQCT4uM5L8Qa8UZpKT+FyWQzwG7n/mHDKJg1i2dGjmRETAx5TifXbtvGsO++47GCAup9fSsY\nVD/7HSQuDgYOhFdegRkzID8fTjxRKRj7QV+Z/ypnVbMjQIzZzF05Obw0ZgxfTJrEphkzaJgzh61G\nhrjuoK/Mf1+lo4rAMiAG+FYIsUAIMU8IcWTL1olyajQajSaCHJmSwozExGB/TlISlw4cGOxfsHEj\nX4fk/Y8zm7ls0CA2Tp/O++PGMT0hgd0eD7/vwwqFpoNYrWCxQGwsrFgB554L+tlpRSA2IiUmpd1x\nQoiwaZU1mo7QUdem8DntmtNpWZt6E9q1SaPR9DaKXS4mrljBjhkziDeCONfX1zM2JOhUSslnFRXc\nlZcXrImQYbVyY3Y2l2iXJ83eWLZMFa6bPVsVqrv++r2mhe1rlNWXkfFoBv1i+1F2Q1mkxdFEAdEc\nI3HevoyTUr6y3zfv5WhFQqPR9EbK3G7SjSwzq2trOf6nn8ibORNriyBrrVBoDohFi1RaWJ/vgNPC\n9jZK60rJfCyT1JhUym8sj7Q4miggamMkpJSv7EvrZFk1mgNC+2lGFj3/kaWr5z89JFXllsZGbh0y\nJKhEfF9Tw1u7VRYZYdRj+C43l08mTOgTLk/62e9EbDYVOwGqGvbChXt9S1+Z/0BsRLUzujLc95X5\n76t0SJEQQkwVQlzWzvXLhRDtFavTaDQaTS/l9IwMLh80KNi/f+dOqrxNBbK8fv9eFYoXd+2KhOia\naCcrC/79b7j1VmWV+M1voLg40lJFBYEYiWRH62rwLclavpzkb76h1hs9hes0PZOOujZ9DPillCe2\ncf0D494nHaB8vQ7t2qTRaPoa75WVcWxqajBn/RGrV/PHnBxmJSUFx4Rzebpp8GAeGDZsn4raafoY\nfj8cfzx89hmcdBK8/z708edkT8Me0h9Jb5b+tS0SvvmGOp+PmkMP1cXpejFR69oEHAx80871r4Hp\nHby3RqPRaHoRp6anB5WIHY2NFDidTEtIAJQC8dGePUgIWiheHj0aixA8VFDA+Rs34glTxVejYehQ\nMJngww/hzTcjLU3E8Uv1O/HJ3uUaqIluOqpIJAN17Vx3AqntXNdouh3tpxlZ9PxHlmiZ/5yYGNZN\nnx6sdP1FZSV/2LGDwJaZEILzBwzgo/HjiTWZeLW0lFN+/pmGHhw3ES1z36sQAkaMgMceU/0rroDS\n0rBD+8r81zhr1NFVE2FJmtNX5r+v0lFFIh+Y3c712UBhB++t0Wg0ml6MPSSTk09K7hk6NOi+9F5Z\nGU8VFjI/LY1FkyeTZrHwn4oKfrFmDeUeT6RE1kQbQqgUsFdfDfPmQUUFXHop9GHX4UD9iH2JkdBo\nOouOxkjcB9wKXCKl/GvIeQFcBDwLPCKlvKmzBO0t6BgJjUajaZuZP/7IzdnZnJyeDsCmhgaOXrOG\nfJeLg2JjWThxIoMdjghLqYkqli+HOXNU3MSbb8KZZ0ZaoohQ3lBOv0f6keJIoeKminbH6hiJvkE0\n15GIAxYDU4E8YJ1xaTwwBFgJzJVStuf+1CfRioRGo9G0zfr6ekbHxmJW/wGyubGReLOZ+WvX8nN9\nPVl2O59NnMi4kGJ3mj7Ok0/CkiXw3nvQrx+sWwcZGZGWqtsJBFsn2ZOourmq3bFVhnUvyWLRyQx6\nMVEbbC2lrAcOA+5AxUocBfwCqAFuBw7VSoQm2tB+mpFFz39k6SnzPzYuLqhE3Lx9Ows2bWKgzcbX\nkyczJymJQpeLOatWsbw6unLlt0dPmfsey1VXwTvvwFFHwZ49Kl4ihL4y/4HYiFp37V7HJlutJFut\n3aJE9JX576t0NEYCKWWjlPI+KeVEKWWMlDJWSjlJSnm/lNLZmUJqNBqNpu+RZLHwwfjxCCFIsVpZ\nOHEiJ6WlUen1ctSaNXy0p/0Ul5o+hBDwwgvgcMDbb6vWxwjERiTaEyMsiaYvsc+uTUKIN4EPgU+l\nlO3bzDRtol2bNBqNZv8pc7v5prqaE9PSuGzLFl4oLsYMvDB6NOcPGBBp8TTRwNatMHMmlJdDerpy\ncTJibfoCFY0VpD2cRrIjmcqbKiMtjiYKiDbXpiHA60CZEOK/QojrhBAjukgujUaj0WgAcPp8HL12\nLStra7GYTDw/ahS3DxmCD7hg0yYe3LkTvUGjYcQIKCiAI46AsjK48spIS9StBH4DgXoSGk13sM+K\nhJRyFjAQlZWpErgb2CyE2CCEeFgIMUfoiB1NFKP9NCOLnv/I0pPn32E289jw4dybkwOoXbZ7cnJ4\neuRIBHDLjh2ct3Fj1Naa6Mlz3+OIiYGXXoLYWHjrLXjnnT4z/3XuumbHaKGvzH9fZb9iJKSUu6WU\nf5NSngr0A44H/gv8GlgC7BZCvCaEOF0IkdD54mo0Go2mL3JkSkowMHRhRQWP5udz+aBW0Bf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vAImLXIStE9RUNey5hlpPB7hfgcPhZ9vAhvm1dzOtp8eNu8GNIMJC1IwjbdBoC33Uvru63ok/Xs\n+8o+vC1evG3e7t9G6tJUDFkGJt86GW+Hl66Pu6j6eRUZKzOo/V3fbCfCJJBuia/NR1dbF+wdZh+Y\nNL2HzqZDZ9RpYViBMCu9TY8xx4gx04gh09C93nRkE2evPFvbTjMg9OrhOZaoONnoovo/PPy1oYHJ\nFgtX5eayJDWV87dvZ3NHB8s/+oh/zZ/PZIulzzmq76NLyP3vCozmu2NLazAUXunttR6M9DF0etX9\nn9iE4kh8BrgauAhYCTwlhHgFeE5K+W4kjOvBd4EKKeUhIcRZwH+HaP8UmhPxrZ5aBSHET4DvAauB\nbwx2ASFEEhCoToMOmCKEKAWapJQVgf2PARuEELcDf0LTSHwL+FEoP1wsoLfqsZXYhmxnSDUw4TMT\nAFhyeAmgzZD4Onx4W70gwFLY4x/pp2HyrZNp/7BdC9Vq8uCp8+Bz+PA2e0ldlkrmeZnkXJaDq8ZF\n67ut1DxdQ9K8JOpf6ieLrh7wgXRLTUfSpO12Hh66iucBDpBEkrYhwJBuQJ+ux5BhIHlOMpZiS/di\nLbZinmRWzoZCoejFlXl5fCk3F50QlNhsPDdrFjceOMDuri6WBZyJOUlJ0TZTMRo6A2OL7e3RtSNE\ngtoIo07NjCnGjpA1EkKINOALaE7FMkAAR4HngT9IKQ+G28gTvn8F8A5amNXV/RyfBhwAjkgpp51w\nLBmoRRs/z5VSdg3jewi0D75R/l5KeV2PdheiCa1L0PrhSSnlk4NcV1W2Hgb23XYaXmnAVeXCecSJ\n0As8TR6ST04m6aQk8q/Px9fpo2NLB3V/qMMy1cKx1X1TMpommvC7/KQsTMHT7MFd7cZd7wbf0DYI\ng8A0yYR5kpmkWUmakzHFgiHTgCHNgCFdW+vTNB1IKDm8FQpF/LO9s5OV27fzykkncfuRI6xvayPb\naGTTyScztUdhO0WcUVUFkyZBQYH2OU5w+9yYHzBj0Bnw3DV4aJNifBBTGol+TxaiCLgKuJLjo/cb\n0UKf/k9K2TZK+/r7zhUM7kh8Ffg18LSUss+sgxDiX2gzKudKKd858XikUY5EZOja10XLf1rwNHhw\nN7jxNHjwNHhIOzON7M9nkzxXk6x0HeyibX0bvg4fB7/d1+c15hqRLonOosNdG8K0th7NqUjRNBym\nCSb0aXqMWUZMOVqKXWPO8c/Btc6ktB4KRbyyvrWVWrebz+fk4PD5uGjXLta0tFBitfL+yScrzUS8\nEq+OhNeNebUZvdDjvXtsMz8qYpNY00j0QUpZDqwCVgkhlqDNUlwG/BL4GRCNIZmSwHr/AMcPoDkS\nMzg+46CIc2wltiFDs4JxmrbpNjp3dTL9iel46jy469y469x46j2kfyKdrAuzSDs9DZ/DR/Wvq2l7\ntw0kNL7aN12vMGl1PfCBt9mLt1l7eHcx4GRXL/SpegyZBswTzZhyNZG5dZoVy1QL1qlWLEWWhHE2\nVJxsdFH9H36WB+pMAFj1es5OT6fS6eRjh4NLdu3i3/PnY9HrVd9HmZD7P6iNcA2e+SjW8Pq1/z8+\nOYwp9zFE3f+JTTjrSOxAEzjPRsuw1DeV0NiQFlgPNBsS3J8+wPGIU1paSmlpKUVFRaSnp1NaWtr9\nR7Z27VoAtT0G28lzk/s9fsx9jBWsQG/Vc2jBIVgApYZSkuYmsfb9tXjqPZxsORl3jZtDpx0iaVYS\nl9x/Cd42L6+teg3HAQen5Z5G3XN1lFEGQCmlCJNgh20HeOGU5FNwN7jZ2r4V2qG0vBSgV/vgtiHL\nwPJ5y7FMtVAmyjAVmDj30+diKbLw/u73EULERH+qbbU9nrd/X1PD02+8wT1FRdydlsb6tjY++Yc/\ncFdRUXdWnFiydzxtBxn2+VlZ2nZ7O/R4CY6Vn2eg7Q3rNsAR0E/VD9l++qZN1H7wAS/Ons3FK1dG\n1L4g0e6f8bBdVlZGa2sr5eXllJVp7xORZrShTQL4BNpMxKVAElpmpb+gibDfC4eRJ3znCgYPbfo1\n8FXgq1LKZ/s5vhpNDP0jKeUj4bZvKFRo0/ig7o911L9cj6vKpeky6jRdxqRbJpF5fiaZKzORfknN\nMzV0HejCXeWm/o/1IEAYBTqrDumV+O3+wb/IBJaJFixFFsyFZiyTtXVwsUy2YEhVdScVikjT6vHQ\n6fMxyWJhR2cny7Zto9Pv57bCQh6ZNm3oCyhih+pqLfVrfr72OU7w+r0YVxmHFdqU/f77NHo81J9+\nOtkm0xhZqBhrYja0SQgxF815+BJQAPiBNWjaiL+NYVrY/gjOOKQNcDy4v3WA4wrFqMn9Yi65X8zt\n3pZ+iafBgzALjOla3LTQCQq+VgDAoR8cwpBhwNvi1dLhurWp6ewrsklekEzKySk4Djuo/X0tvg6f\nlv2q0QNucB5x4jwycNYqXbIOyxQL5nwzpjyTtuSbjn8ObBvSDUowrlCMkHSjsTul5hSLhalWK7vt\ndh6tqGCKxcI3J06MsoWKkImzQb/gIKUarFSMJcN2JIQQeWiOw1VoReEAdgM/R5sdqAm/eSPi48C6\nZIDjQVH4QBoKRYKytscU9VgjdAJT7sCjPtMemca0R6bh6/LhqnLhqtSW1KWp3TU8AFIXpaJP1nP4\nB4f71WyYi82YckwYUgw4K5w4Djrwd/rp2t1F1+7BdRvCJDDmGjHlmbBOsWKdYcU604pthg3rDCvG\nbOOoHI1o9r9C9f9Y8ouqKs5MT+e7Eydy3f793PTnP1N45ZV8ZsKEaJs2Lgn53g8Ua+texwlBbYSf\nIWayxxj17ElsQpmRqEDL4t8IPIEWurQtIlaNjmCNiZXihDgiIUQKWspaO7ApGsYpFIOht+mxzbBh\nm9G/cDzl5BQApj8+nYnfmYjrmAtXhQtnhRNXhYucL+aQtjwNa5GW5+DwXYdJnptM5eOVtG/onRNd\nZ9EhLAKdWadVSm/34a5w465w0/lh3xqN+lQ9tpmaU2GdYe31Wc1mKBTH+cHkyQhAJwTH3G7uLSvj\nij17eLe0lFNTU6NtnmIognUkOkdaqzY6BOtH6IQuypYoxhPD1kgEi88Bb0g5jLKJEWIojUSgzVvA\necC3e9Z0EEL8FK243a+klN8cA3P7s01pJBRjTuXjlXR82EHX/i7cNW5c1S7wQeEPCsm5LIeUk1Pw\ndfnYdekuMs7JoPb3tTjLnUifRBgF0iuR7oHvW32yvo82o/tzofZ5sErsCkWisr61lZU7duD0+8kJ\n1JgoVjUmYpuaGi31a24u1NZG25ph4/P7MKwyoBM6fHcPnrlJaSTGBzFfR2KsEEJcAlwS2MxDcxIO\nA+sD+xqklN/v0X4qWgapHOA1tHCnxcAKYB9wupSyZUyMPwHlSChiAemTuKpdmHJM6My9R6+klHw4\n50O6Pu4bCmUptpDz5Rzwg2O/g6Y3m5A+iXQOfU8bsgxYCrXK4bYSmxY2FVibJqh/ZIrE5BdVVRSZ\nzfysqoo1LS3Mstl4f+FCMlWNidiltlYTWseZI+H1eTE+oN1X8p7Bn8mtgbCtVIOhO6uYIvGIaUdC\nCGEGrkXL2pQN3CKl3CaEyAA+A7wjpawMi5FC3APcg1ZhutehwLpcSjn1hHMmAfcDFwBZQDXwN+C+\nSBTKGy7KkYgeKk5z+EipicOdR53aUu7EddTFpJsnYZ5o7q5t8fFXP6boviK2LtyKp6F3PLEwCdCD\nMcOIp8HDR56PutPanogh06CFSvVwLmwlNqzTreitaiYjHKj7P3qsXbuWhcuXs3zbNnZ1dXFGair/\nLi3FrFMhKGNByPf+sWMwZQpkZkJTU8TsCjfBrE0wtCMxlqhnT/SI5axNGWhahPlAF2DjeF2GdmA1\n8CLwwzDYiJTyPuC+EM+pBK4Lx/crFOMNIQSmHBOmHBOppw0c0z3rmVlIKZn8g8k4jjiw77B3OyB+\np5/8a/KZ+shUDGkGXK+6MFxvoHh1MYe+dwgE+J1+0GnF/No3tdO+qb3Pd1imWUien0zSvCSS5iWR\nPC8Z63QrQq9G0RTxQ5rBwLkZGexzOFjX3s61H3/Mi7Nnq9HgWMRu19ZxppEIaiME6p5SjB0jmpEQ\nQvwSuAb4ArAZqAfOlVK+Ezj+c+BMKeXCMNqaEKgZCcV4QEqJp9GDKbt3yJKz0ok+Rc+GCRuQ3t5/\nB8IgkEgKvlmA64gL+z47zv39p7XVWXTY5thImnvcuUial4Qp36RE34qY5b8tWkTtxbt20eHz8YPC\nQh5WNSZij7o6yMuDnBztc5zgl37092szuLE0I6GIHjE7IwFcDPxCSvlPIUR/+ewOodWZUCgU4xAh\nRB8nAsAyyQLAGY4zcFW6tBoYh504jjjwdfjIPC+TrE9pVWU9LR62LdrGjKdnsOMTO3pdx+/007mt\nk85tvUcMDVkGUhamkFyaTPLCZJJLk7GV2NTshSImODsjA4C/nHQSF+7YwSMVFeSZTHy3sDDKlikS\nATVIqYgGI3UkstBEywMhAcsIr61QRAQVpxldeva/zqDDWmTV0tSe3X97Y4aRxQcW46pxMfFbE7Hv\nsdNZ1omv04d0ScyTzPhdfrIvy8a+007n9k68TV5a1rTQsuZ4LgVhFFiKLSSfnEz6WemakzE/edxl\nkVL3f/Q4se/Py8xkXlISZXY7Nx86RLHVysWqxkTEGHEdCbc7IvZEilgNaVLPnsRmpI5EJTB7kONL\ngYMjvLZCoVB0Y843M+PxGd3b0q9lnHIdcyE9kvSzNHlWy39bOHLnETI/mUn5XeXH23skjv0OHPsd\nNPxfg7ZTB7ZZNjLPyyT97HSMuUaSZiVhSBvpI1GhCI31J5/MTyoquKe8nCv27OGdBQtYmpYWbbMU\ncFwj0TV4Ec9YI5SwzpmbN1PvdrN/8WJyVPpXxSgYqUbiQeAmtHSqR4EGAhoJIcSVaPUm7pJSPhhG\nWxMCpZFQKCKH3+VH+iVd+7pofLWRtvVtmCeZse+y4+vy4evwYcwwYt9jh37SrOtT9N0ZozLOySD/\nK/lj/0Moxg1SSm7Yv5/f1NSQqtfzwSmnUGLrvxilYgypr9dSv2Zna5/jBCkluvs1wfVQGonc99+n\n3uOh9vTTyVWORMISyxqJ1cA5wEbgw8C++4UQTwKz0Go4/GT05ikUCsXwCdbESClNIaU0pdex9s3t\nuOvcTLhoAj6njwPfOkDnR514Gjy4jrkA8HX46NzaSefWTux77KQsSiFpblKvkb72D9pp+EsD1mlW\nLNMsWKdbsRRalA5DETJCCC7OyuK52lrafT4u2LGDjQsXkmc2R9s0BUCcDfqpRBOKaDCiJNZSSjtw\nFnAXkAQ4gZMBL3AH8AkppStcRioU4WDt2rXRNmFcE+3+T12cyoSLtDh0vUXPpG9PYs5Lc1h6dCmL\nDy8mZWkKlmmW7uEVe5mdLfO3sKloE/tv3E/zv5vxe/20rW+j4scV7P/6fnas3MHm4s28Z32Pwz86\n3O/3xsoMZLT7fzwzWN+fnZHB9lNPZVFKCuVOJ5/auZMOr3fsjBsHhHzvB/vf4xm8XQwTK88dUM+e\nRGfEAcEBR+HRwKJQKBRxRfK85O7P1mIrk26cRNryNAyZBlrWtHDgpgP47D5cx1xUP1VN9VPVGCYY\nSF+RTt5X88ALjsMOHAcduKvd6FP6F29XPFpB1ZNV2uzFNGv3krI4RRObK8Y1Nr2eWUlJvD5vHqdv\n28a2zk6+sHs3r8+bh1EVrIsOQW1EnGkkFIpoMOLK1oqRoTQSCkXsI6XkwE0HKH6wGMc+Bw2vNVD5\n40qk5/jfrmmiiZzLc8i5IgfbHBv4wJDad2xm3/X7qHmmps/+af87jcJb+qb97PioA2+bF+s0K+aJ\nZoROhSuMB9x+Pxfs2MH6tjY8UnJNbi6/mzVLhatEg4YGrYZEVhY0NkbbmpAQ92n3i/9u/6D3jtJI\njA/GQiMxbEdCCHEWWlrXYSOlfG8kRiUyypFQKOIPd6ObvV/aS/HDxTS83EDdH+twVxxPDWmZaiHn\nihxyLs8haV5vTYXf48d1zIXjoEObwTjkwHnIycRvTyTj7Iw+37X36r3UPa8VwU4Z7B4AACAASURB\nVBImLXWtdaqVyT+Y3J2hSpGY/Km+nkKzmXO3b6fL7+fOKVNYVVwcbbPGH42NmtA6jh0J310+dIPM\naLUGwrZSDQZVXT2BiTVHwo/mSAzXICmlHF+J2oeBciSih8plHV0Sqf+b3mzi8I8Ok74inYY/NeCu\nOe5U2GbbyPliDgU3FGDKCX2kr/yBcprfaMZx2IGn7niM9rx/ziPrwqw+7Y/cdQTHQQeWYkv3Yi22\nYp5sRmc8/iKRSP0fb4Ta9280NfGZnTvxA7+aOZMbCgoiZtt4IOR7v6YGCgogNRXa2iJmVyQIOhKe\nuzwYdLGRzlo9e6JHLGZtcgF/B/4D+BncqVBvywqFIiHJvCCT1EWpGLOMTP/JdA7efJCmN5rwtnjp\n2ttF+d3lHH3wKJO+NYnCWwtDciiK7iyi6M4iAHx2H44j2gxGyqKUfts3/6uZjg87+uxfsGYBGZ/o\nO+PRuasTfbIe8yQzOoOKwY9F0g0G0g0Gmr1evrl/P/kmExepgnVjh8PRex1HCAQSiU6ov23F2BDK\njMQtwNXAPKAKeAn4g5Ryd+TMSzzUjIRCkXh0bu8EwDbHRst/NKG285ATAJ1Nx8RvTqTw+6E5FMOl\nfXM7Xfu6cB5xak7HESfOI05K3y3FWtxXzP3hvA+x77KDDsyTzFimWLBMsVD8YDGWQkvY7VOEzsv1\n9dh0OrZ1dnJveTlWnY53FixgiSpYNzY0NcGECZCZqX2OI3T36ZBIfHf7lDOhiK3Qpu4ThJiP5lB8\nCcgDyoDngZeklHVhtzDBUI6EQpH47PvaPjI/k0ntb2ppel17EREWwcQbJzL5+5Mx5UZP3Lj9/O3Y\nd9txV7t7zRsvrVqKuaBv/YKdF+8EwFxoxlJowVxoxjzZTOqiVHQm9aISSaSUfG3/fp6pqSHLYGDD\nySczUxWsizxx7Eh0hzbd6cGgj43QJkX0iElHovtEIfTAuWhOxSWACfg3cJ+UcnPYLEwwlCMRPVSc\nZnQZr/3f/HYzOz+9szvjk86qo+AbBRR+vxBz3tgVHjux//1uP64KF86jTpzlTvKuzeuTIUr6Je9Z\n30O6+z6zlrUsw5hu7LO/4rEKDBkGzBPNmAvMmApMGNIN4zr70Ejvfb+U/PjYMX5ZXc1Rl4t5SUls\nP/XUcd2XIyHk/q+thfx8SEmB9vaI2RUJgo6E6w4XJkNsZGMar8/+WCAWNRLdSCl9wL+Afwkh8oEX\ngAuATYByJBQKhQIt3KnktyUknZRE+f3lNL3WROVPK6n+ZXVUHIogOpOuu6bFYCx8byHOCieuClf3\n4q53Y0jr++/D7/Fz6JZDfRRyOpuO5a3Le4m/QRtxb36zGVOuCWOuEVOOSc1y9OCY08ma1lbemj+f\ns7dvZ6fdzqb2dpaqEKfI4tTCEuNRI6ETOvzSj143eK6bmZs3U+92s2/xYpX+VTEqRjMjoQNWAleh\nzUiY0UTY90opN4XNwgRDzUgoFOOb3ZfvpmNbB86D2suKMAsKby6k6J4idOb4fon22X2U31+Ou9qN\nq8qFq9qFu8qNMAuWNy7v097b7mV92vpe+wyZBixTLJy67dQ+7f1eP23vtmGcYMQ4wYghy4DeMj6S\nA9526BA/rqjga/n5PF1SEm1zEpvmZi31a0aG9jmO0N+vxy/9Q2Ztynv/feo8HmqWLiXPPPYDGYqx\nISZnJIQQC9Cch6BGYgdwD5pGom/VJYVCoVB0U7yqGEOmAVeFi6P3H6Xx1UaOPXSMpjeamPPiHJJO\nSoq2iSNGn6Rn2iPT+uz3dfn6be93+sk4PwNPnQd3rRt3vRtvsxePzdNve0+Dh+3nbu+1T5ekwzbT\n1q/j4bP7qHuhDkO6QVsyDBjStM/R1KmEil9KLp4wgR9XVPByfT0/mz4dq358OFBRJR4H/QImqwFL\nxVgxbEdCCPF9NAdiLlADvIiWtWlnhGxTKMKKitOMLqr/NWwzNbGsaYKJkmdLaP+gHWES2Lfb2XLK\nFqY9Oo2JN00Me0XraPa/3tb/S68px8SCtxZ0b0ufxNPkwdvu7be99EjSV6TjafR0L367f0BHxVXj\nYv/X9/fZbym2sOTwkn7b77tuH/oU/fElSY95opmJ35zYp73P6aPr4y70Nj06q05bLDr0Vj1Cf/z3\nN9q+b/F6eaKyknSDgVavl9caG7kiN3fE1xtvhNz/Xm/vdRzhxw+A1+/FqO+rYYoG6tmf2IQyI/EI\n4AT+jBbC5ANOE0KcNtAJUspnR2eeQqFQJC7GDCNLDi/B7/Zz8HsHqf1tLQe/o9WkmPW7WZjzx1fI\ngdALTDmmAdPkWiZbKP1vafe2lBJfu29AR0Jn0ZF/fT7eVi/eFi+eFg++Nh/mwv771dPoofmtvqEs\ntjm2fh0J5yEnWxdu7dt+lo1Fexf12e845GD3F3ajM+sQZoHOpEOYBNapVmY8PqNPe1eti8qfViKM\ngoeMNi61+3itrZltk45xxd19HQlPq4fmN5oRBqE5MnqtTw3pBtLP6FsV3dflw77HjtCL7gU96K16\nLFP6pgKWPomvy6ddP/Ad4XZ4Y4KgRiK4jiP0Qo9P+mKmGJ0i8Qm1snUoqMrW/aA0EgqFoj+klGyZ\nvwXHYQf+Lj+GLAMlvykh+9LsaJs2bvC2e2lb34avw4e3w4uvw4fP7sOQbmDSTZP6tLfvtbPnij34\nHX58dh9+px+/049tto1Tt/QNter4qIOtJ/d1PJIWJHFaWd8xuY6yjn4dlUNT4ZN7llJwQmz7QO2T\n5idx2va+1+/c3smW0i2jay8guTS539Ay+8d2dl20C2EMOE1GgTAJbDNtzHp2Vp/2rmoXxx49hs6s\nzewEF1O+idwr+jpOPqcPZ7kTfZJemxVK0mlO2mizWrW0aKlf09KgtXV01xpjjKuMeP1e3He6B52R\nUBqJ8UGsaSTOiZgVCoVCMc4RQjDr+VkYs4zs++o+Wt5uYfdnd5N7bS4znpiBIVmNMEYaQ6qBrAuz\nht0+aXb/L9wDYSuxccqWU/C7/fhdfqRb4nf7Bw79yjMx9eGpeNw+Ku1OdD74oLmdTRYHTXV13DZ5\ncm/70wzkXJGD9Eqk7/jSX2FC0IT+yScnI30SfHS3txQNXJhQl6TT2nol0iv7ZOjqid/ux3Ggb+Yj\nf1f/45LuWjdVP6/qsz+5NLlfR6Lr464+jpMh3cD8t+eTelrqwIYlMMGByqEGLPctXoyUklSDeq4o\nRseIszYpRoaakYgeKk4zuqj+Hz7SL9l/435qfqXlr7BMszD7hdmkLRl52k/V/9FjtH3f5PFwya5d\nZBoMfDU/n4t27WK2zcbu004LS02JjW1tZBmNIRe7k1KCX7tfT0ztC9qMgeuoC79Hc5qkR3OcdFYd\nqaf2fdF31bqo/796/E4/0iW7Z3hMBSYmf39yn/ad2zvZfdlubTaoy4+3RdM0TP/ZdCZ95/gMUsj9\n39gI2dmQlASdncM/LwYI1pHo+FEHyabkKFujoZ490SPWZiQUCoVCMQYInSD7s9mkLUmj4rEK7Nvt\nfLTsIybfOZmiu4rQGeI7TawiNLKMRtYtXAiAx+8n22hkb1cXWzo6OC11dCPvWzs6WPbRR8xNSmLH\nacOfXQHtJSWow+gPvUWPrWT4zok5z0zhdwuH3T55QTKL9y3u3m7f3I59j53UxaOcjQjWj4hDjYRR\nZ8Tj92DSx09WMkV8M6wZCSGETkoZqkZi1OcmImpGQqFQhILf5efw7Yep/GklAKlLUjnplZMwF6i4\n5vHKzQcP8lhlJd8sKOAXM2eO6lqf3LGDt5qbyTeZqD799DBZGOe0tmo1JFJToa0t2taEhGmVCY/f\ng+tOl3ImFGMyIzHcYS2vEOJLoV5cCDEhcK7SVygUCsUI0Jl15F2dR9pZaZgmmmjf1M6OT+4YMEWq\nIvFw+/2sa21lU+Cl9pq8PAD+WF+Pyz/ycbp1ra28FSi45lMDXMcJQ7hYtAgOVPpHcV8oFKEQ6flx\n9WRSxAxr166NtgnjGtX/Iyd5QTIL1y7k1LJTsc60Yt9hZ/sF2/G7h/+yoPo/eoy27zt9Pm4/coQH\njx0DYEFyMqXJybR4vbze2Diia0opuePIke7t5jismTBcQu7/OK4j4ZWazW6fO8qWHEc9exKbUByJ\nF4QQ/lAWoCFShisUCsV4wzTBRPFDxSCgY2MH+76yT1WwHQdkBjQSf583r3vfNYGCdM/V1Y3omm+3\ntLCurY1g8Itf3UfHcbl6r+OIYDiT2TB46OOszZtJX7eOmjj8GRWxxXA1EveO4jskWgXsI0O2HAco\njYRCoRgN3k4vjX9rZP839uO3+5n8w8lMfWhqtM1SjDH1bjcTN25ESknV6aeTaxp+PLyUktO2bmVr\nZyffmzSJxyoryTOZqFEaCY32dq2GREqK9jmOMD9gxu1z47jDgcUwcBrfgg0bqHG7qVratx6JInGI\nmaxNUsp7I2mEQqFQKIaHIdlA3lV5GLON7PzUTo49fAxTvolJ3+5bME2RGHj8fja1t2MUgiVpWgrg\nHJOJCzMz+XtTEy/W1XFz4fCzHf2tsZGtnZ3kmUx8vaCAxyor8SVATH3dS3U0v91M7pdyyTwvM9rm\nRIfAOKUasFSMFSqHoGLcoOI0o4vq//CSdUEWWZ/Wiqcd/M5BGl4dPJJU9X/0CJdG4oGjR3vtvzYg\nuv59be2wXxx9UnJXQBtx15QpOH0+AFriUA9wIu0ftFP3XB32PfZe+0Pu/0CfxKNGwu3XtBEuX+yE\nLKlnT2KjHAmFQqGIU4pXFzP5dq1Q194v7qVtQ3ylqlQMj4yARuIf8+f32v+prCyyDAZ22u2UDbNw\n2kt1dezp6qLIYuGr+fl4g1l+wm51HBPUDbhjR7A8XMx6c6+1QhFplCOhGDeoyprRRfV/+Emem0zx\nA8XkX5+P3+ln+/nb6drX1W9b1f/RI1J9b9Lp+FJAdP372toh27v9fu4tLwfg3qIiTDpdd3z8BKMx\nIjbGAiH3f1KStrZaw25LpAlHpfNwo549iY1yJBQKhSKOEUIw7afT0Kfo8Xf62XHBDly1sRPWoBg9\nnkAdiY39FEcL1pR4qb4e9xA6h2drajjsdDLLZuPKgAMSrB+hsjb1Qxz2STDEbahQt72LFtGybBl5\nIYj0FYr+CMmREEIsEELkRsoYhSKSqDjN6KL6P3IYkg3M+8c8Uhal4Cx3svNTO/F29I7vVv0fPUbb\n9/aARmL1CRoJgJOTk5mblESjx8MbTU0DXsPh87EqcP6qoiL0gZHr1gTSSAxEyP0fdMiCWok4IqiN\ncHgdg7ZLMxhINxrRjcEMhnr2JDahzkh8BLwuhPhfIcT1PQ8IIc4UQqigPIVCoYgC6WemM+/1eVim\nWejc1sn287fj96jI90QgfQCNBGgzUsOpKfFUdTXVbjcLk5P5bHZ2935n4KU5/sbe+5L7pVxKfldC\n5spRZmwKaiPiUCNhNWjhWFZj/IVlKeKTYdWR6G4sxFFgppSyz7y5EGIWcCWac/J7KeX+sFmZQKg6\nEgqFIpLU/amOvVfsBQl51+ZR8mxJTMZNK8JHjctF4caNCCGoXrqU7BPCVTq8XqZu3kyjx8M/583j\nwqys7mN1bjd5GzaQbTRSv2zZWJsem3R2ajUkbDaw24duH0PYVttweB3Yb7djM9qibY4iyoxFHYlQ\nZyS29OdEAEgpP5ZS3gn8GnhZCPGfUVunUCgUipCYcNEEZr80G51NR+3vaym/rzzaJilGyWAaCYB8\ns5nzMzPxSskf6+v7HP9ZZSWNHg/LUlP5ZGbv0Xq/0kj0JY4d7+BApc8ff2FZivgkVEeiOx2IEOLL\nQognhRD/I4SYFtwvpSwHPgucGR4TFYrwoOI0o4vq/7FBb9GTe0Uuc16eAwKOrjpK595O1f9RZLR9\n3+X391tHoic9a0r0pNnj4X8rKgBYPXVqn9mp1oA2olVpJI4T1EbEsUbC6XVG2ZLjqGdPYjPirE1S\nyheBp4BfAt8TQvywx7EjwNbRm6dQKBSKkTDh0xMwTzGDHw7fejja5ihGQZrBwLqFC/lnPxqJIJ/J\nyiLdYOCjzk529qgp8eixY7T7fJyXkcFZ6el9zusKvCyr+YgeeDy913FEUBsxVFjTnA8+IH3dOqpc\nKsObYnSE6kj0GsqQUu4B/iOlvElK+fAJbY+NyjKFIsyoXNbRRfX/2DP7hdkIi6D5jWYWWhZG25xx\ny1jc+xa9ni/m5ADwXGBWosbl4vGqKgAeKC7u97zJFgsAmaqOxHGC9SPM8Zs/Rg7hGrZ7vbT5fMOu\niD4a1LM/sQnVkbhACHGfEOIMIYQhsK9vQKaGcnMVCoUiiqQvS6fw5kIADv/g8Ji8NCjCz1AaiSDB\nmhIv1NXh9ft58NgxHH4/l06YwGmpqf2e4++OqY//DF91f6xj77V7aXpr4DS4CU/gT9wv4//3qYgP\nQnUk0oDvA+8CLUKIN4G5QoglPRyLhCCQzvbvQohKIYRfCHFNP230QohVQojDQghHYL1KCKGPhs2K\nwVFxmtFF9X90KPx+IbpkHe++9y6NrzVG25xxyWjvfWdAI3H/IBoJgEUpKcyy2ajzeHi6poanq6sR\nwKoBZiPguDaiPQ71ACfS8WEHdc/V0bWnd3X38aSRCNaPcHgGryMxlqhnf2ITqiPxKpAOnAU8AhiB\nOcAGoF0I8a4QYrUQ4kJgQlgtHXuSgB3AdwAH/YeQ/gD4JvAtoCTQ9kbgR2Nko0KhUAyKIdWArUSL\nlz5y1xGkT81KxBspAY3Em4NoJKB3TYlvHziAR0q+nJvLSUlJA55jVxqJvgQdiDjUSAS1ESr1q2Ks\nCNWR+LWU0i2lXCelfEBKeS6aY7EceABwor1U/wM4L7ymji1SyjellHdKKV8BBpojPB34u5Tyn1LK\nY1LK14HXgUVjZqhi2Kg4zeii+j86CJ1g4fqFLJ68mK5dXdS9OHDRMkVkGMt7/8rcXATaPy2DENxb\nVDRo+6BGIt2QUEEFvQi5/4PaiDjUSMRizRj17E9sQnIkpJT/7mefR0q5QUr5oJTyfCAT7QX7SJhs\njGXWAecIIUoAhBBzgLOBN6JqlUKhUPRAb9FTfL8W3nLotkP4nPEXsjGe8QY0EhuG0EgATLJYWJmR\nAcB1eXlMsw5e4VjVkRiEOOyToDZiKI3E7kWLaFm2jII4dJYUscWI078OhJTSK6XcBGwJ97VjDSnl\nI8ALwB4hhBvYhVbV+1fRtUzRHypOM7qo/o8uuyfsRpgFnjoPVU9VRducccVo731HQCOxagiNRJDH\nZ8zgtsJCHp46dci2QW1EImgkBiLk/g86EHEoQA9qIzrdnYO2SzMYSDca0Y3BDIZ69ic2YXckenBH\nBK8dNgKF9Tp6LMtCOPcK4Crgi8BC4GrgRiHEdREyV6FQKEaEPknPtEe02qHHVh/D25a4BcgSjeFq\nJIKU2Gw8Mm0aGcNI6dqWQA5EzhU5lPyuhMzzM4duPBjB4nxxWKQv2ZQMQIo5JcqWKMYLYrjpAIUQ\nu4BtwHpgfaCGRH/tvg3skFKuDZuRQnweTeBdCiwAkoEXpZRXDXLOJOB+4AK0cKsaNLH4fVLK1h7t\nkoGcHqdWSymdJ1yrA7hRSvmHE/ZXAI9KKZ/ose8O4Fop5YwB7JIqBaNCoYgGUkrKVpTR9l4bk++Y\nzNQHhh6xViQ2TR4PE95/nwyDgebly6NtTmzgdGq1JEwmiLOCbakPpdLh7qDth22kmvtP+asYPwgh\nkFJGdNoplBmJVLTsRdcDZUKIpkB61NuEEKcLIYJDH08BQgjxUBjtvBMtG9J8oDKwb8C3cSHENLTK\n2tcCm4CfAofRsiptFEJ0D1dIKTullId7LKHUlbfSV4jt54TCfQqFQhELCCEoXq1pJY49fAxXTXy9\nJI1XQtFIhIpUGom+xKBgebgEtRE+f+LMNClim1Acib9JKW+QUp6GVk/iUuBj4C60TEXtQoj30GYB\nJqGlQw0X3wVmSCnTgG8Mo/1TQDbwLSnlZ6WUt0spPwE8FrBr9VAXEEIkCSFKhRClaP00JbBd2KPZ\n68APhRAXCiGKhBCXAt8D/hbaj6cYC1ScZnRR/R9dgv1vnWbFmGMEH5TfVx5Vm8YLYasjUV4eFnt6\nEtRGdCRQiNOJhNz/QW1EHGokujxaDY2hNBJjiXr2JzbDdiSklN/p8dkhpXwPbeR9ElrNiMXAn4Dp\naC/sL4TLSCnlWinlocDmoEMFgdmIlcARKeUvTjh8D9AFXCmEGCrJ8mlooVzbAAtwX+DzfT3afAv4\nC5rjsgf4X+DXxIk+RKFQjD/M+WZK3y0FHdQ8U0PXvq6hT1JEleSARuKtBQvCfu2WOKyVEHHiuCBd\nUBsxVFjT3A8+IH3dOiqcoQRhKBR9Ga3Yul1K2SY1dkgpn5RSXgb8DxCtnGJnB9Zvn3hAStkJvI9W\nbG7JYBcJOC+6wKLv8fm6Hm06pZTfk1IWSSltUsppgdoT7nD+QIrwoHJZRxfV/9GlZ/8nzUoi/yv5\n4IOD3z0YPaPGCbF8708NpIdNVXUkjmMyaesE7pN2n482n29MChHG8v2vGD2jdSTyhRCXnbgzUJht\n5iivPVKCIVX7Bzh+ILDuVwytUCgU44Hsy7IBaH6rmfbN7VG2RjEYkdRIJFIdibr/q2PvtXtperMp\n2qZEjW6NhIy/2RRFfDJad/seYK0Q4gbgZeC/UsoDgUxIhYOfGjHSAuuBnrjB/eljYEu/lJaWUlpa\nSlFREenp6ZSWlnZ77MFYQrUd/u2ecZqxYM9421b9H1v9n7Y8jaMrj9Ly7xbSf5jOgncW8O6778aM\nvYm0Hdw30vMXnXEGtx85gmPrVv53+vSw2lfrcoHZTKfPFzP9NdLtNX9bQ8OfGvjs3M+S9cmskff/\nEi1gYa3PB2vXxszPN5xt+347FEGHu4Mdm3cM2p6yMja63Uw+77yI2hfcFwv9k+jbZWVltLa2Ul5e\nTllZGWPBsNO/DngBITKAh9AyJJkAH+ABbpBSPj9aA/v5vhXAO8ALUsqr+zn+a+CrwFellM/2c3w1\n8CPgR4GCcmOKSv8aPdb2+IegGHtU/0eX/vrf0+ph89TNeFu8zHtzHlkXZEXHuAQnlu/9be3tnLJt\nGzrAF6M2DpeDtx6k8ieVTP3xVCbfOrl7f8j973CALSCjjLP/1+kPp9PmaqPlBy2kWwYeL528cSMV\nLhdHlyxhssUSUZti+f5PdGIt/Wu/SClbpJRfBwqATwNXoGVYCrsTMUyCMw5pAxwP7m8d4LgiQVEP\nsuii+j+69Nf/xnQjhbdpk8f7rt+H9MfXS1O8EMv3flAjkaLXR9mSyBFy/we1EXGskYilActYvv8V\no2fYfyVCiFXAGinlu/0dl1I2A2+Ey7BR8HFgPVD62aA2YiANhUKhUIwbbCU2dFYd7ko3dS/VkXdl\nXrRNUpyAT0o2tLWhE4JlaQONkY2MoDbCF0MvnjFDHPaJJKh5GTx17c7TTkNKmdAie8XYEMqMxG+B\npUKIN4UQjwkhTouUUaPkv4H1SiF6V5URQqQAywA7WqE6xTiiZ7ymYuxR/R9dBur/7EuzmfGUNr5y\n5M4j+F3xlzs/1hntve8K1JG4LwJ1JOyBWgldcVgzYbiMuP/j0JEI1o/ocHUM2i7NYCDdaEQ3BsX3\n1LM/sRm2IyGlLJdSPiyl/CRarYTPCCHeEkI8IISYGzkTQ0NKeRgt9WsxWjXsntwH2IDnpZSOsbZN\noVAoYpG8q/KwnWTDddRF1VNV0TZHcQI2vZ51CxfydgTqSNQnUB2JnMtzKPldCZkXZI7uQnFckC5Y\nPyLVMngdCYUiXIRDbH0qcDkwD1gH/DHwMh82hBCXAJcENvOA84DDwPrAvgYp5fd7tJ8KbABygNfQ\nwp0WAyuAfcDpUsqWcNo4XJTYWqFQxCIHbz5I5WOVWIosLDkyaJkdRQLR5vWSvn49KXo97WecEW1z\nYgOvF4xG0Onirihd5iOZtDhbaLqtiUzrKB0qRdwzFmLrUQfHSSm3AFsCYURnALcIIYqANcDLUsrq\n0X4HsAC4Grprp0i0GYepge1yoNuRkFIeDjg49wMXABcC1cDPgPuklOFPxq1QKBRxTN51edT8tgZn\nuZOOsg5SSlOibZIiwFhoJBKhjkTYGINwn0gR1EYMpZFQKMLFqLM2BQlUt35PSnkjcDGwB1glhPi7\nEOIGIcSI8wpKKe/rUWG65xKsNj21n3MqpZTXSSkLpJRmKWWxlPJm5USMX1ScZnRR/R9dhur/5LnJ\n5F2jCa1rnqkZA4vGD6O9990BjcQ9R46Ex6AedAVG3JVGogdBpyoOnasOt6aNaHXETmJK9exPbEJy\nJIQQE4fTTkrplVL+S0r5FeALQD3wuBDiuRHYqFAoFIoxIP+r+QDU/q4WnyO+QjoSGWtAI7GmtDTs\n1651u8N+zbgnjh2JYO2IDGvGoO3mf/gh6evWcczpHAuzFAlMSBoJIcRrUsqLR/xlSiCgNBIKhSJm\n8XZ4eT/zfaRXUvKHEvKvyo+2SYoI0+71krZ+Pcl6PR1KI6Hh94Ner4U4xdlMTdajWTQ7mmn8fiNZ\ntoEDQYo2buSoy8WRxYspCtQSUSQesViQ7hNCiGUj/TL1Bq1QKBSxiyHFwLTHpgFQ+9vaKFujCOKT\nknWtrbzfFv7IXJlAGon6l+vZe+1emt5oirYpUSOojfBJNaOoGBtCdSScwOlCiCcCy42xlPpVoRgM\nFacZXVT/R5fh9n/e1XnobDra3m2ja39XZI0aJ4z23vdEUiMRGHF3xNnIe390bO2g7rk67LvsvfaP\nK41EoH5Eq1NpJBRjQ6hZm56XUv44uCGEmAWcKYS4ARDAQWCtlLIsjDYqFAqFYowwpBrIvDCTxr80\nUn5fOXNenBNtk8Y9loBGIhJUu1wRuW5cE8dZm9It6TQ5VOpXxdgRkiMhpfzeCdsfo9VoAEAI8XXg\nPSGEH3hbSnlZWKxUKMLAihUrom3CuEb1f3QJpf/NE80ANP+rGb/Hj84YSWtAcQAAIABJREFUtgR/\n45JYvvdLbDYAbLrE/R2H3P9x7EgEiaVI8li+/xWjZ9R1JIQQqcB1wNeBmcAR4DfAs6O9tkKhUCjG\nnumPTafl3y107emi6R9NZF+aHW2TxjV+KXm/rQ0BLE9PD/u1e64VfRFx6Fjk3JszrHbFEbZDEXmi\n7TSOeAhCCLFQCPEMWqG3R4FdwAVSymlSyoellPXhMlKhCAcqTjO6qP6PLqH0vxCiOxVs9W/CUVN0\nfDNqjYSUmkaivDws9vTEGdBGOBPYkQi5//txHKSUalFLzC2xQEgzEkIIM3A58E1gEVpF6dXAs1LK\nurBbp1AoFIqokHlhJoduOUTLmy04K5xYCi3RNmncYtbpIqaROJZAGonsy7KxzbGRckoYq7LHyMua\nQhGrhFpHoh5IB14Hfg38W0pVhz0UVB0JhUIRD/jdfrYu3oq9zE7RfUUU3V0UbZMUEcDu85G8bh1W\nnY6uM8+MtjmxQ3BWwu9H6HQxM/qrUPQkUCdiqOMxVUfCihbGtApNTK2cCIVCoUhAdCYd036s1ZSo\n+W0N0qdepKKFX2p1JNa3hj+lZ/AlRL0oKxSKkRCqI/Em8FNgCnC3EOIBIcRtQojlQghTz4ZCiNvD\nZaRCEQ5UjH50Uf0fXUbS/xnnZGApsuA65qLxH43hN2qcMNp73ys1jcTdEdRIuBLYkRhV/ydwvygU\n4SDUrE0vSimbgdcCC0KINGAZcIcQwgbY0YTXXwceDKOtCoVCoRhDhE5gmmTCWe6k6udVZF+ssjdF\nA1MENRLlTmdErpswJEChPoUikoSkkRjWBYVIAi5GE2Ardd4JKI2EQqGIJ1o3tlK2rAxhECytWoop\n2zT0SYq4ocvnI2ndOiw6HQ6lkTiOTqfNRvh8CL1ehX4pYpJ41EgMiZTSLqV8CfhvuK+tUCgUirEl\nfWk6mRdmIj2SuudVcr5oEEmNBAmkkaj/cz17r91L0z+bom2K4gSOHDnC5z73OTIyMkhNTeW8886j\nrKwspGs89dRTzJ49G6vVytSpU1m1ahVer3dUbR988EEuueQSJk6ciE6n46qrrhrw+0NpC9Da2sqt\nt97K1KlTsVgs5Ofn8+lPf5qjR4/2atfU1MQtt9zCzJkzsdlsTJkyhS9/+ct8/PHHA1w5tohkKcvb\nInhthSJkVIx+dFH9H11G0/95X8kDoOInFQnxwjnWjPbe9wU0EndFQCMR1EYkgkaiY2sHdc/V0bmz\ns9f+EfV/sD9UaNOoqa+v54wzzmDjxo3ccccdrF69mqNHj3LmmWeyd+/eYV1j9erV3HTTTcyfP59f\n/OIXnH/++dx7773ccMMNo2p75513snnzZk499VRg8OKDobStq6tj8eLFvPTSS1x55ZX86le/4tZb\nbyU5OZmWlpbudm63m7POOounn36aiy++mCeffJKrr76at956i8WLF/dxOmKRYWskhBC7gG3AemC9\nlHLPAO2+DeyQUq4Ni4XjjOrqpzGZ8jCbCzGbCzEaJ8RlVU2FQpE42KbZQA/uajftG9pJW5YWbZPG\nFcYIaiQOORwAqP8yA6AciVHz0EMPUVtby0cffcS8efMAuOyyyygpKeFHP/oRr7766qDn19XV8cAD\nD/D5z3+el19+GYDrrruOtLQ0Hn30UW666SYWBv4+QmkL2kzJlClTANDpBh9bD6XtN77xDVwuF9u3\nbyc7e2Bt2Zo1a9izZw9PPPEEN954Y/f+RYsWcfHFF/OXv/yFW265ZdDvijahzEikAg7geqBMCNEk\nhPh7IGvT6UIIY6DdU4AQQjwUbmMTCa+3k9bW9+jo2EpX1z6czkqczgr27/86u3Zdwtatp7BhQw7v\nvmvh/fdz2bbtLPbuvYrDh2+nquopGhtfp6OjDLe7Do+nCY+nObC04PG04vG04vW24fW2B5YOvN5O\n/P7+pwHHAytWrIi2CeMa1f/RZTT9nzw/mcJbCwGoeaYmTBaNH2L53p+blASAKYEHrEbU/8EXRb0+\nrLbEKjqdbsDlueeeG9W1X375ZVasWNHtRADk5uZy2WWX8eabb9LZ2TnI2fDaa6/hcrn49re/3Wv/\nt771re7rj6Qt0O0YDIfhtj148CCvvvoqt912G9nZ2bjdbpwDJDVob28HIC8vr9f+4HZS4O8zlgkl\na9PfpJTfARBCWIHTgE8DdwFuwCaE+BBtxmIvUBJmWxMKh2M/ZWVn9dlvMKTj83Vhs5XgclXg9bbi\n8dTj8dQTuN9GjRAmjMYJGAxp6PWpCGHAbJ6EwZCOwZDWY8nAZMrHbC7AZCrAYAhjtVCFQhFX5H8l\nn4pHKqj/Uz3TfzYdQ1qoSf8UI0VKyfq2NgDOSE8P+7VB02Eo+mGc9MsLL7zQa1tKyS9/+Us2btxI\nbm4uAI2Nw0sBbTQaSUvTZi2rq6upra3lf/7nf/q0W7RoEc888ww7duzg9NNPH/B6W7ZsQQjBokWL\neu2fOHEiEydOZNu2bSNqGynefvvt7u+88MILefvtt/H7/Zxyyin89Kc/5Ywzzuhuu3z5csxmM3fe\neSfp6enMmjWL8vJybr75ZqZPn86XvvSliNs7Wob9nyDoRAQ+O4D3hBCfASYB7cA84MzA8rXAohgA\nIUykpZ2Bz9eJz2fvXiclzaOk5BlstpkAdHUd5Nixh0lKmsuhQ9/r50p6QGIwpAESv9+H39+JTmfD\n77ef+K2AREo3bnc1bnd1SDbr9ckYjXkYjelYrTO7HYzg2mTKw2TKCTgnsTe6tXbt2pgeGUx0VP9H\nl9H2v22GjaR5Sdh32qn8WSVF9xSFzbZEZ7R9H9RI6IG1YQ5xcgdelD1hvWpsMar+HyeOxIkvrK+8\n8gobN27kG9/4BhdccAEAOTk5w7rWihUreOeddwDNkQAoKCjo0y64r6qqatDrVVdXk5mZicnUN2Nc\nfn5+r/NDaRsp9u/fD8D111/P3LlzefHFF2lvb+fBBx9k5cqVbNq0idLSUgAmTZrEH//4R2688UZW\nrlzZfY0lS5awfv16UlNTI27vaBntkFK7lLIt8HlHYHky4GAkj/LaCU1y8lwWLnxvyHY223RmzXoG\nj6cJi6UIn68Nt7seAJ+vA70+DYMhlYKC6wHweFppaPgTSUknsWvXZ/H52vH7g1NqktTUpWRmXkhe\n3rV4va10de2mqupJ0tJWcOzYA32+X6dLQkoPQugDzs5BnE7o6NgyiNV6zOZ8jMacwMxHVsDZyMVk\nyg3sz0KnMyGEYZiLKSadE4ViPJE0V3MkGl5rUI7EGGKIoEbiQAJpJHK+kINtlo2Uk8Mwex7URvh8\nIZ02lv+mIuXjlJWVcc0113D22Wfz+OOPd+9fs2bNsM7PyMjo/uwI3F9ms7lPO4vF0qvNQDgcjn7P\nD16j50xJKG0jRTBUa8KECaxZs6ZbT3Huuecya9Ys7r//fv761792t8/OzubUU09l8eLFzJ8/n4MH\nD/LII49w/vnns2bNGrKysiJu82gYrSORL4S4TEr5p547pZSvCyHuGeW1FT0wGrPIzr5kGO3SKSjQ\nJoOWLdNSNfr9noAToMVGWSzBOL9JJCfPJSfncrq69uH3dwZCqVrw++14vW3YbLPIzr6MrKxP4fO1\n09LyH2pqnsFmm0Nl5U/6sUAH+HC5KnG5KsPwkwfRYzRmYjCko9MlY7FMwmjMwmDI7LU+/jkDgyEd\nvT4FIbQ/YjUaHl1U/0eXcPR/yW9LaH6zGftHdjo+6iBloQp3HA6xfO/PS9bG/AwJMFCTckoKKaf0\nvSdH1P96veZEjBONRJC6ujouuugi8vPz+fOf/9xLVHzOOeeEfD2r1QqAy+XqcyyoGwi2GewaA2kM\nnE5nr/NDaRspgt/xxS9+sVf/FRcXs3TpUt577/gg8pYtWzjnnHP4xz/+0WtG4txzz2XhwoU88MAD\nPPbYYxG3eTSM1pG4B1grhLgBeBn4r5TygBAiGSgctXWKsKDTGdHpMjAaMwZsY7OVMH364DerwZBG\ndvZnyc7+LB5PE5mZ5+N21+J0HkWns+D1tqLTmdHpbOTkfB63u56WlrdpaPgrNtts6utf7Mc27Q/O\nZMpHSm8gzKsdIcz4/T0FWD48ngY8ngYA7PaPhvnTC3S6JEymnIBjkYpen4LZnBvQhGRgNGZjNk/E\nbJ6IyTQRozFLzX4oFP2gt+rJvTKXqierqPpVFbOenhVtk8YFY6GRUGl9T2CE/wPiuRtdLheXXnop\n7e3tbNy4sdfMAkBtbe2wrmMymcjMzASOhy8FQ5x6MljYU08KCgpoaWnB5XL1mW2orq5m9uzZI2ob\nKYI/T1Bb0pO8vDzWr1/fvf2LX/wCk8nUy4kAmDt3LtOnT+/ldMQqo3IkpJQNQojlwEPA44BJCOFD\nC7fsm7BXkTAYjVlkZq4ctI3FMoXU1NOYMuUOpJSUlDxNV9cBuro+xmwuwONpRkovQujIzv4sAA7H\nIdrbN6HXp3DgwI14PI09QrMgJWUJFstkcnK+iNfbTGvru7S3b8RsLqS19Z0e3x78JyDx+ztxOjsp\nK4NAWOJQPx0WyyTM5okYjQWBz5MCzsYkLJYpmEz53TMdiuGhNBLRJVz9n74inaonq6j7XR0zfjYD\nvXV8jdiOhNH2vR+4/cgRdMC7YQ5x8gbefBM5n9+I+n8c1pH42te+xocffshrr73W7wv3UC/8QXpq\nJAoKCsjLy2PTpk192m3evBmj0cj8+fMHvd6pp57KM888wwcffNBLqFxZWUl1dTVXXnnliNpGiqDQ\nu6Kios+xysrKXulgq6urkVIipewzgOn1evF4Yl+9NOq0G1LKFuDrQojbgSWAFdgkpYy8okURNwgh\n0OuTSEkpJSVl4Ld5q3UaVus0ACZMuAgAn88RSHHbiF5v6xaiA+Tmfhmfz05b2zo8nibc7lq83mak\n1P74srI+Q0rKYnJyLsduX8OUKXW0ta3DbJ5EXd3xlHZa9mKBlH7Ag9N5BKfzyCA/jwmLZTJm8xQs\nlmKs1mIslqLuxWTKU46GIiFJPzsd60wrjv0OGl5pIO/KvKFPUowKvRAR00h83NUVkevGPUFtxACV\nkxONRx99lOeff56HH36YCy+8sN82I9FIAFx++eU88cQT7Ny5szsFbG1tLX/+85+54IILSEk5Ho7W\n1NREQ0MDU6ZM6Q4Ruvjii/nOd77D448/3ss5eOKJJwCtJkWQUNpGirPOOov8/Hyef/55br/99u6f\nY8eOHWzcuLFXRezZs2fz73//m1deeYXPf/7z3fs3bNjA4cOHueaaayJu72gRajpzbBFCSNXnkUVK\nic/XjtvdgE5nxmLpG2VXX/8yR48+iNtdi8fTiDbmBxMmfJ7MzPNITz8Ll6uK2trf43DsRwgzbW3v\nhmCFEau1CLO5mKSkmVit07FaZ2C1TsdiKUanMw59CYUiRqn+dTX7b9hP2hlpLHwvMi+4irHB7fdj\nfu89DELgOatvSvJxi8kEHg+4XAizOaFDv3bt2sWCBQsoKiri/vvv7/OzLlu2jOLi4hFfv76+noUL\nFyKl5Oabb8ZsNvPEE09QW1vLpk2bmDNnTnfbe++9l/vvv5+1a9dy5plndu9/4IEHuPvuu/nCF77A\neeedx4cffshvfvMbrrnmGp599tle3xdK2+eff767evTdd9/NggUL+NznPgdoDkFPZySUtn/5y1+4\n/PLLmTdvHtdeey0dHR38/Oc/RwjBli1bumtSHD58mFNOOQWHw8HXvvY15s6dy6FDh3jqqafQ6XR8\n8MEHlJQMXE1BCDHovRk4HtFYbeVIjDHKkYg9pPQFZjPqMRhSeojRQUo/fr+L2tpnKS9fhcdTz/+z\nd+bxUVVZ4v/eqiRVqewbZAGSAAJhRxBFZLVB2u6WTbS1pcEem5G2XYbWdkBUVrex9acgTo9b06CO\nMtq4tQvYCci+GUEFQbKwxITsG6kkVXV/f9RCiuyVqlRVcr+fz/tU3n3nnXfq8ELeefece+DSv19I\nyDB0ul6EhAzDaMyhvHwPJlMxFktLq1BobLMY/TEYrnAEGXp9KgEB4Wg0wWg0BjQanarVUPgkpgoT\ne3rtwVJpYfj24URfH+1tk7o0nqyRqDOb0X31FVrA5Oephxf+7wLFHxcTNzeO2F/FdkxZNwokduzY\nwZQpU5p8KBVC8MYbb/Db3/62Q9fIzs7mwQcf5Msvv8RsNjNu3Diefvpppy7TACtXrmTVqlWkp6c7\nBRJgrSdYt24dOTk5JCQkcOedd/LII4+gbaIgvq2yU6ZMYceOHY7vCjjSjB5//HEee+wxl2QBPvnk\nE9asWcPRo0fR6XRMnTqVp556iv79+zvJ5eTksGrVKnbu3Mm5c+cIDw9n0qRJrFy50inIagoVSHRD\nVCDhPdyRI26xmKivL6SuLp+6up/Q61MIDh6ARmPNEiwp2YZGE0Rh4XucP7+u0flC6JCy8eoVzaND\nqzUQEBBqCzB0aDTBaLVhBAXF2VKpUm1bCnp9MhpN4/WzfQFVI+Fd3O3/A8MOcPHbi4SNC2P0ntFu\n09sV6XCNhJRMysxEADvdnOJ00WQixFb8Kf389zNrWRZnnjxD6tpUkpddeiHkkv8DAqzpTRcvIgyG\nLh1IKPwXXwgkVGtShaIdaDQB6HQJ6HQJQOM/6PYC9IiIiSQnP0pt7TmMxrOYTIXU1uZhsRiJiJiM\nXt+LmppT5OSsIiAgjIsXTzbTILAWs7kWs7m0zTYGBSUQHNyvQXCRil6fbOtkHopWG2b7DEEIVSir\ncI2h/xjKodGHqNxbSdnOMiInuvdNueISGg/WSHynaiSaxl5k3U1qJBQKV1EzEp2MmpFQNMRozEWr\nDaOuroDq6u8oLPw/QCAEGI1n0ev7EBPzKyIirsVsriEnZwUhIYMpK9tJWdmXl2nTYK/1aCtC6NFq\nQxsEGSG25XGTMBgGEBw8AINhAHp9P7Ravbu+tqKLkLMyh5wVOUROjmRkepuWRFP4GCaLhcCdO7tE\nalNzMxIuodNBXR0YjQi9Xs1IKHwSNSOhUHRz7PUYgYHRhISk0aPHzS3KDxnyvwDk5f2VoKA4Ll78\ngfr6QmprfwLMxMTcRHz8nQQEhGM05pCbuxq9vi9VVUcxmYoBHLMQUpqQ0ojJZMRkaq3bp0CvT3YE\nFtbPgQQHD0Cv761mNropSfcnceaZM5RllFH0zyJib+xgXrqiWb4qKwM810ei+yxy2k5UAKFQtEir\ngYQQ4lpgPHBcSvmxbSwFGAeckVLu9qSBCoW76Eo5+omJ/05i4qVWLVKaqavLJyAgCq3W4BgPCRlC\ncPBAvv9+HqWl222yl6bqo6J+Tq9e9xIc3B+zuZIfflhEXNxcKisPUlt7lurq79FogjGZSjEaczAa\ncygt/eIya4JsK1MNxGAYhMFw6TMgINwh1ZX87494wv+BkYGEjgilYm8FZ58+S8zPVTPHpnCH75dm\nZSE8kOJkDyC68uOyS/63pzZ1oz4SCoUrtBhICCHuAR4EDgKzhBBLgZlSyhzbH4vTgHoVqVB4GSG0\n6HRJjcbDw68GYMSIbZjN1RiNZ6mtzcVoPIPRmEtS0h/R6S71ARgz5hBSSg4dGk519bcAWCyXcqi1\n2kiSku6mvr6EmpqTlJfvQso6qqu/dcg3JDCwJwbDIEJC0rhwQUtxsZGQkCHodL3UA2cXYfhnw9mX\nso/yneWUpZcRNTWq9ZMU7WbXlVd6RO/R6mqP6PUGcXPjCB4QTNiVYa0Lt4a9j4QfNARTKLxJizUS\nQoiNwCJpW2ZGCDESeBi4H2tCdp6UUnXdageqRkLhD1y48C4XL57EaMyxBR45GI1nuOqqowQHX+Fo\ntnf8+Hz69n2WI0euorbW2sUzICAKKS2YzVWAuUn9AQExhIaOdNoMhkGO1a8U/kXu2lyyl2cTMjyE\nMZljVJDoR5ilJGDHDgRgUTOGl9DrobZWrdqk8Gl8oUaitUBiiZTyucvGgrEGE//E2sFaBRLtQAUS\nCn/F2vVbNHpIlFJy8OBQampOOTqK2wkMTGDQoNeoqTlJdfX3/PTTq2i1kZjNJU1cIYjQ0GGEhY1y\nBBchIcMJCHDD20WFRzGeN7Kvzz6wwLAvhhEzLcbbJnU57DUS10VEuDVQsxdbg/8v/+pWVCCh8AP8\nIZCYB4QCq4Absc5C5EspC4QQdwPrpZTqFWI7UIGE91A5+p5FSjO1tT9hNGZjNGZTW3uWPn2WOR56\nvvzyn1xxxbckJd3HV18ZaGtWtl6fisEwiNDQEYSEDCUkZCjBwQPVKlLtxNP3/6kHTnH+hfOEXxvO\nqF2j1KxEA9zh+wlffw3AzpEjVSDRTlzyv33VpspKRFiYCiQUPokvBBItBgFSyi1CiH7AH4EfACNw\nSAix07Y/qYGxE4H9sn3dthQKRRdBCC16fS/0+l7AhEbHtVoDffr8GbO5hgED/srFiz9QXX0Uk6kM\nozEbKc0EBSWQmPjvVFVlUlGxl4sXTzgCk5KST530BQbGExExnpCQIQ0CjCtUepSXSF2dSsHmAir2\nVFC6rZTo6arbtTvxVB+Jr6uqPKLX77HXRtTVedcOhcLHaVcfCSFELjCgqWBBCDEIuAPrrMXfpJQn\n3WZlF0LNSCgUTWM2X0SIQDSaQADKy/dRWLiFyMjr+e67mU6rTTWHEDpCQ4cjhJ6wsNFERk4hKmoq\nAQGhnjZfwaVaiaCEIMadH6dmJfwAi5Rod+wAuu6MhEsEB4PRCNXViJAQNSOh8El8YUaivYHEe1LK\nua3IpAD/AEqklNd3yLouiAokFIr2I6WFsrJdVFbuJzAwhosXT1JRsR8wExExnurq76io2Ed9fWGT\n5wsRhF6fSnLyUkJDRxMSkqZ6X3iAqmNVHB5zGFknGfbpMGJmqFoJd+GpGgmLxYK2i6Q2Fb5XSNFH\nRcTNiSP2pg72NDEYoKZGBRIKn8YXAon25gA41oEUQvwGay+Jw8BOKeVpANvSsHMANSOh8ClUjYR3\n6Yj/hdAQFTWRqKiJjjGLpQ6zuZLAQOvDakHBmxiN5wgK6kle3n9TXf0dFks1IJGyjpqaHzhxYiEA\nGo2BsLAriYm5CYNhILm5awgO7kdwcH/0+n4EB/fDYBhAUFDPDn5r36Ez7v/QYaGkrkkl689Z5Dye\nQ/QN0WpWAvf4/pHsbCSwY+RIlEebpvLrSgo2FhDcP9gpkOhQHwlz0yvPKRQKKy4nE0sp3xRCfA0c\nAV4VQpyTUj5lO5YthDjsLiMVCoXicjSaIDSaS2+8e/b8jePnhISFFBV9iFYbhsEwmJKSzzl37jnA\nuiyt0ZhNefkuyst3Oc6prDzopD8m5lcMG/Zho+vW15dgMpWh0/VR9RhNkPSHJM4+e5bKA5UUbCog\n/rfxrZ+kaJWdHqqROKxqJJrGXiNRq8o+FYqWaO/SrU4vQqSU3wNfSin/aA8iGnCmQ5YpFG5GzUZ4\nl872f2zsTURFTUGn60lCwm8ZOPAVhg79kGuuyWL8+CLCwq4iPPw6rCtaXyIwMA6dLpng4Cua1FtY\n+D779/fjq6+C2bevP998M4OTJ++hqOjjzvhaLtNZ/teGaImbGwdA9iPZKiUE3/6/56rw8NaF/ByX\n/K+3rQoXHNyynKJNZGdnM3fuXKKioggPD2f69OlkZma2S8eGDRtIS0sjODiYvn37snr1akymxrVz\nTzzxBLNmzSIpKQmNRsP8+fOb1dke2eLiYv70pz8xYMAADAYDycnJ/OY3v+HEiRMdkgUoKyvjwQcf\npG/fvuj1ehISEvjlL39Jbm5uGzzjXdr7Om2GEGIlsB3YK63VjxeakfX7MN7WyXsOMADr99kHLJVS\nfneZ3B+Ah4B44DvgASnlLhQKhc8QHn6V4+fAwBiGDv0HgYGxSGmiqOhjfvjhd0hpctRZnDv3PJWV\nh+nZ8zZiY+cSFGRPlbCg0/WitvYcRuNpjMbTlJaCVhtGbOwvG123tDSdioo9jpSp4OB+BAZ27RWN\nev+5NxfeuUDtuVqKPykm9pcdzFdXsKusDIn7ayQaYrFY0GhUayiFe7lw4QITJkzAYrHwyCOPoNPp\nWL9+PRMnTmT//v2kpaW1qmPt2rU8+uijzJs3j4ceeoiDBw+yYsUKcnJyeO2115xkly9fTs+ePRk7\ndiwfffRRi78vbZWtq6tj0qRJ5OTksHjxYtLS0sjOzmbDhg18/PHHHD16lOTk5HbLAhQUFDBx4kQq\nKyu566676Nu3L8XFxRw8eJDS0lInWZ9EStnmDajHWidhASqBT4GDwDVAwGWym9qj2xc34DNgATAY\nGAq8D/wERDWQuRWoA/4NGAi8aPNN72Z0SoV3SE9P97YJ3Rpf9r/ZXCvPn/+rrKsrl/n5m+U33/xc\npqfTYNPKb775hSwpSZcWi0VKKaXJdFFWVX0vCws/lGfOPC/LynY1qfvUqSWX6UJ+9VWkPHduQ2d+\nxU73/5nnzsh00uXB0QcdPuuuuMP3E48ckdcdOSLrzeaOG3QZpKdL0tOl2QO6O5PTj5yW6aTL7NXZ\nTuMu+V+nkxKkLCuT6u92x3jggQekVquVR48edYzl5+fLiIgIOXPmzFbPz8/Pl3q9Xs6bN89p/OGH\nH5ZCCHnkyBGn8ZycHMfPQgg5f/78ZnW3VfaTTz6RQgi5fv16p/EPP/xQCiHks88+65KslFLOnj1b\nJicnywsXLjRrZ3O0dm/ajnv0Wbm9MxJbgd8AV2PtITHZ9pC9BzAKIQ4Cu4DdgN+/gpJSzmi4L4SY\nD5QD1wKf2IaXAG9IKe0h8X1CiBnAYmBZZ9mqUChcR6MJIjFxEWCttQgLG8vZs70JDx9HYeE7lJRs\no6TkE0pKPiE09Ep6915CXNwthISkERLS8tu06OjpCKGlpuZHampOU1NzGpOpDK3W0KT8jz/+ieLi\njwkO7ode35fg4L7o9X0JD78Gnc5/6g0S/z2R3CdzqTpcxZmnzpC81Mffqvk4OzxUI3GgosLxs78X\nxsfNiSO4fzBho8I6rqyb1Ui0NBP1xhtvsGDBApd1v/POO0yePJlkp1irAAAgAElEQVRhw4Y5xnr2\n7Mktt9zCxo0bqaqqIjS0+SW6P/jgA2pra7nvvvucxu+9916eeeYZ3nnnHUY1+P1ozxv8tspW2H5P\n4uOd/w+274eEhLgk++OPP7J161bWr19PXFwcdXV1WCwW9Hr/abja3kDif6SUdcBXtm2NECIQuApr\nUDEJuBdYSlvb1voX4VjrSkoBhBBBwJXAM5fJfYE12FD4EL6cp9wd8Cf/GwxXMHDgXwFr4fbZs/+P\nCxfewmjMoarqCMeP38GPPy6hd+8lJCQsIjAwqlld0dE3EB19g2NfSkl9/QU0mqZzry9ePE5NzUlq\napwXvktLe5uePX/dSL68fDcWSz3BwanodL2aXda2s/2vNWgJvyacko9KKNhUQJ//7OP3D6qu4sv3\n/tgGNRIS/HpFqLArwwi7snEQ4ZL/g4Ohutq6DGw3YPPmzU77Ukpefvll9u7dS8+e1tXrioqK2qQr\nMDCQiIgIAPLy8sjPz+fOO+9sJDd27FheffVVjh49yrXXNv/IdOjQIYQQjB071mk8KSmJpKQkjhw5\n0ia7OsJ1112HTqdj+fLlREZGMmjQIHJycliyZAn9+/fn9ttvd0n2iy++cHyXG2+8kS+++AKLxcLo\n0aN57rnnmDChcXNXX6NdgYSUclsTY/VYZyT2AE8IIQKAMcDmy2W7AC8AXwN7bfuxgBYouEzuAtZ6\nCYVC0QXo1et+EhPvBuDChTc5ffoh6usvkJX1n+TkrCYh4Xf06nU/wcH9WtUlhGhxWdkhQ7ZQU5OF\n0ZjV4PM0ISGDm5TPzn6MsrJ/2XQHoNP1Qa9PpV+/ZwkLG+nCt3Ufg/93MAf6H+Di8YsUbS0ibnac\nV+3xZ+w1EuMjItB4KCCTUkI3DfaapZ2LBYiVnec/+bj73tc2fLgFeO+999i7dy+LFy9mxgxrckaP\nHj3apGvy5Mn861/W/5Py8vIASExMbCRnHzt//nyL+vLy8oiOjiYoKKjRsYSEhFbPdwe9evXi7bff\n5p577mHatGmO8WuuuYZdu3YR3iAgb4/syZPWF0a///3vGTp0KG+++SYVFRU88cQTTJs2jX379jFy\npHf/H28Nt69dKK0F2PuEEIfcrdtT2Hpi/HeDoRlSyt2XyTyHdZbhOlvemcLPUH0kvIs/+18IgVZr\nnWpOSPg3qqu/JzR0NAUFb1Baup3z59dx/vw6YmPn0Lv3EsLDr3X57btWG0Jo6DBCQ4e1LgyEho7C\nYqnFaMymri4Po9EafFx+fbv/v//+durri9Drk9HrU9DpktHrkwkLG91supWrBBgC6POfffjx/h/J\nXp5NzE0xaLTdr5jXHff+8uxszED6iBGeCyQ8otX7qD4S7SMzM5MFCxYwZcoUXnzxRcf49u3b23R+\nVNSlGdqamhoAdDpdIzl7+o5dpjlqamqaPN+uo60zJR0lLi6OMWPGcPXVVzN8+HB+/PFHnn76aW64\n4Qa2b99OTExMu2WrbMsvx8bGsn37dkeK2c9+9jMGDRrEqlWreP/99zvl+7mKJxdBf8SdyoQQN2NN\nnRoJjABCgTellM2u1SWE6AWsAmYA0VgLpbcCK6WUZQ1EP+DSLANA3mV6ngduAaZIKXMaHCoCzMDl\nrxd72q6lUCi6IP37/wWA+PjbKSn5gmPHfoWUFoqK3qeo6H3Cwq5iwID/Jizsyk6w5VnHz2azkdra\nXGpqsgkOHtCkfFnZDurq8hqNjx17AoNhYKPxCxfeRaMxoNf3RqfrTUBAVLuCpIRFCWQ/ms3F7y9y\n5okzpDya0uZzFZfI8FCNxP4uVCPhVurqrJ9GY7tOc+csgTcoKCjgpptuIiEhgS1btjjVTkydOrXd\n+oJty+fWNlFrYrT5NriVJXaDg4Mdsk3paO18d3Do0CGmTp3Kxx9/7DTL8LOf/YxRo0axZs0ann/+\n+XbL2m2/7bbbnHydmprKuHHj2GnrOu/LeCyQkLZO125kOTAc64pI54BBtPACRQjRD2u6VRzW4OEE\n1iLx+7EuYzteSllis7UKaLIrjxDiBWAe1iDCKWlZSllna7w3HXivwaFpwBYXvqPCg/jr2/CuQlf1\nf0TEREaN2olO15vz51/i/Pn1VFYe5PDha+jf/79ISrqv0x7QtFo9BsPAJgMCu/9HjNiG0Zhj23Jt\nWw46XZ8mdZ48uRiTqcSxr9EY0Ol6c+WVux1dxRtSX19sCzasfxS1ei0xN8VwYfMFNCHdbzYCfPve\nvzo8HEHXnY2ADtRIVFV1mxoJsD7sz549m4qKCvbu3es0swCQn5/fJj1BQUFER1uXuLanL9lTnBrS\nUtpTQxITEyktLaW2trbRzEReXl6blo/tKC+99BJBQUFOgQHA0KFD6d+/v9MDf3tk7d/dXofSkPj4\neHbt8v1OAv7UlvUB4KyU8rQQYhKQ3or8BqxBxL1Sypfsg0KIvwD/AazFurJSswghXgLuAGYB5UII\ne91DpZSy2vbzc8AmIcQBrIHL3VjrI/77cn0KhaLrodXqCQ+/GoC+fdei1YZRUvIZ5eU7+PHHBygt\n/ZJBg95o8qHbG4SEDG623uJypDQTFzcHo/EstbXWzWyupKbmFFptRBPykj17kgALQUEJ6HSJBAUl\nUjPRAG8vQBvcdCG4onVUjUTrFL5fSNGH1lqc2JkdXDjSj/3gKosWLeLgwYN88MEHTT6ct/bAb6dh\njURiYiLx8fHs27evkdz+/fsJDAxk+PDhLeobM2YMr776KgcOHHAqPj537hx5eXnccccdbbKrI+Tl\n5TmWO738xZDJZKLevspXO2XtBeRnz55tdM1z584RF+f7dWV+83pISpnRYJajxd9w22zENCC7YRBh\n43GsvTDuEEK09qphMdYUqi+xpjvZtz81sOtdrEHOcqyF2NcCN0opG98VCq+SkZHhbRO6Nd3F/8nJ\n/8nIkekMGfIeAQGRFBd/xP79gykr8+4UtSv+F0LLwIGvMGLEZ4wd+x0TJlRw3XVlXHXVd2g0jd9D\nmc2VaLUhSFlPbe0ZKir2UVT0PhdT/w/M2kavvS2WevbsSeDgwRF88810jh//LadPP8TZs8+5+C19\nE3fc+4/m5LAsOxuzB0r07Br9vRqgKrOKgo0FVH3jnGDgkv/ttRFNdE7uijzzzDNs2rSJtWvXcuON\nNzYps3379jZtf/nLX5zOu/XWW9mxYwfHjh1zjOXn57NlyxZmzJhBWNillbaKi4s5ceKEU93EzJkz\n0el0TvUaAOvWrQPglltu6fD3b420tDQuXrzIe++95zS+Z88esrKyGDNmjEuykyZNIiEhgU2bNjl9\n56NHj7J3715uuOEGfB1/mpFoD1Nsn19cfkBKWSWE2I010LgG+FdzSqSUbQq0pJQvAy+7YKdCoeiC\nCCGIi5uDyVTBqVOLMZkukJk5hZSUx0hOXt7sEq3+QEBABAEBjWcjrMfCue66YsxmI3V1P1FXl0dt\n7XlOP36MWgQVBypI+kOSQ76+/gJ1dfnU1eVTXd1QTwy9ey9ppL++voxDh0YQGBhDYGCsbYshKCiJ\n5OT/bCQvpQUp69Fomi7U9CfSPbRyy77ycsfP/ntXegB7Tn8rhcBdgW+//ZalS5eSmppKUlJSo6Vg\nx48fT2pqqks1EgBLly7l3Xff5YYbbmDJkiXodDrWrVuHxWLhySefdJJdt24dq1atIiMjg4kTJwLW\ntJ9HHnmExx57jFtvvZXp06dz8OBBXnnlFRYuXMiVVzrXom3atInc3FzH/rFjx1izZg1gfXBvOKvR\nVtn77ruPjRs3cscdd7Bz506GDh3K6dOn2bBhA6GhoTz88MMOHe2RDQgI4IUXXuDWW29l3LhxLFy4\nkMrKSl544QWio6NZuXKlSz7vVDzd8c4TG9aeFRbg780c/y/b8f9o5vh62/F/94LtUqFQdA/M5npZ\nXX1anj69TKanC5mejjx4cKw0Gs9527RO5fuF38t00mXus7lO4xaLSRqN52RFxWFZVPRPmZf3hszJ\neVLm5DzZpJ7q6lONuoSnpyP37EluUr6m5oxMT0fu2KGXu3fHy/370+Thw9fI7767vUn5+vpKmZ//\ntiwq+liWlmbIiorDsrr6hDQa8zr0/X0dra2ztSe6ZncmWY9mWTtbr8zuuLLw8G7T2TojI0MKIaRG\no5FCCKdNo9HIjRs3dvgaWVlZcs6cOTIiIkKGhobKadOmNepILaWUK1askBqNRu7YsaPRsfXr18uB\nAwdKnU4nU1JS5MqVK6XJZGokN3nyZCf77d9Lo9HIlStXuiybnZ0t77zzTtmvXz+p0+lkXFycvPnm\nm+V3333XyIb2yEop5ccffyyvueYaaTAYZFRUlJw7d648depUiz6V0jc6WwvphyuZCiEmY51J2Cyl\n/G0Tx/8HuAu4S0r5ehPH12JtmrdUSvm0h829/NpyxIgRjBw5kpSUFCIjIxk5cqSjGMw+Bav21b7a\n71r7RUWfsHnzTYCFMWNiGDTob3z7bajP2OfJ/cR3E8l7OY/C+wqJmx3nsr5//etL6usLGTeuPyZT\nMRkZOzGby7n22iEkJS1uJP/pp3/jhx/+jZEjrUt5ZmYCwLXXDmLs2ONNyP+dH35YgP3lv11+3Lj+\nXH31qUbyn3/+NtnZy7jqqh5oNMEcOXIRjSaICRPG0r//c43kt2//gJKSzxk/fghC6Ni37zQQyOTJ\n1xEdPb2R/JdffkFd3RkmTryWr6uMHN59hIEhYUydMpWgoLhG8unp1tLBKVOmtMu/12N9s7bNbCZA\nq/X6/eLq/tu/fZuCTQXMWjmLlMdSOqYvIoKMigr46COm/OpX+OOzkqLrI4Rw3JsZGRlkZmZSVlZG\nTk4OmZmZfPPNN0gpPVrwowIJLwQS/ujzrkCGH/cx6Ap0d/+bTBWcP7+O0tKdlJVZsy4TE++hf/+/\ndErqjTf9f/IPJ8l7OY8r1l9B0j1JrZ/gRqSUWCw1mEyl1NeXYjZblzuNiGjcSbemJoesrIcxmysx\nm6tsn9Xo9SmMGNEoU5bKykwOH268LGtIyDCuuuqoY9/u+6qqoxw6NKIJ+aFcddWxRuNVVcc4dKhx\nIWrz8nb9WoSwbwGEhAzlyiv3NJK/ePEHjh37FSdqarGgYbAhDK0mgODgAQwZ8r9N+ufUqT8iRIDT\nptcn07fv2kbydXUFnD//MhpNIEIEIkQQGk0ggYE96NFjXiN5s/ki1dXH0Gj0l23BBASEN5K/nOzH\nssldnUvKyhRSHktxjLt074eGWjtbFxYi4uJUIKHwSRoGEi0c92gg0VVrJOxJn00n8l4aL2vmuEKh\nULiVgIBwkpMfoU+fpZw9+xeysv6TvLyXqKjYy+DB/4vBcIW3TfQYFQetD+8VByo6PZCwNhM0oNUa\n0OlavnZwcApDhrzTZt0Gw0DGjPkGi6UGs7kai8WIxWJEo2l6HY+AgGh69XoAi6UOi6UWKeuwWOrQ\n6Xo1Y3sgISHDkLIeKU2OLTCw6c7oUtrLpc1Iacb+fGE2VzcpbzbXUFNzimTbfs3Fy/U4YzKVUVLy\nSaPxkJARTQYStbU/kZvbOMc7JGR4k4FETc2PHDlyTaNxg2EIY8d+26RNDYmdHYu+r57QkaGtyrZK\nN6qRUCg6Qledkfg34BXgf6SUdzdx/HOsxdbXSylbW0bWragZCYVCIaXkyJFx1Naepa4uj4CAKIYP\n/5zw8Ku8bZpHOP674xS8UUDqM6kkP5Tc+gkKl7EWmJttwYAZKa2rDjVVIG9vYDjswD4kZg5fOZIA\nIRFCR2jo0EbyJlM5ZWU7bfovBTYBAeHExt7USL62No+8vL/aAqF6LJZ6pKxDp0siOblxz9rq6uOc\nOLHAFpDVOgKzkJAhjBzZ7LooniEyEsrLobQUERWlZiQUPomakfAc9uBgmrjsyV0IEQaMB6qBxgsb\nKxQKhYcRQnDllXsxmys4fvwOios/5uuvJzB8+OdERU3ytnlux94/QvWRcJ3d5eVYpOTaiAi0LfQ4\nEEJjawYY2KpOewPDXH7CDBhCRqDTNv9vFBAQQWzsr9pss06XSGpq21edCQlJY/ToA63KlZXtIjt7\nKeHh4+nX76k263cJFUAoFC3iN30k2oOUMgvr0q+pwD2XHV4JGIBNUko1Z9mNsBfSKbyD8r8zQggC\nAiIYMuR9dLreSFnL0aMzKCn53CPX86r/u19vLyfc4fvHsrNZlp2NyQMPtvZEpno/eWg2mUooL9/F\nxYvft0neJf93sz4SCoWr+M2MhBBiFtYO02DtHA1wrRDib7afC6WUDzU45Q9YO02/KIS4HjgBXI11\n6dgfgMbzqgqFQtHJaDSBDB78Nnl5r1JQ8DeOHbuJwYPfIS5uVusn+wkVB2w1Evsq4I9eNsZP+dJD\nfSR2N+gjEaTpku8WXcNotH5evOhdOxQKH8ef/tcYAfwWmI+1vkFinXH4rW2b21DYNisxBvgb1gBi\niU3+/wHXSClLO8twhW/QnVcM8gWU/5snImI8gwa9RlLS/UhZx3ffzSE/f3PrJ7YDb/o/ZFiI9XN4\niNds8Ca+fO+Pj4gg0JYq5R/zEe3HJf+H2gq2G3RdVigUjfGbQEJKuVJKqZFSai/bNLatbxPnnJNS\n/k5KmSil1EkpU6WUS6SU5U1dQ6FQKLyFEBr69fsLgYE9AMmJE78lL+9/vG2WWwgwWCe/VY2E6+wu\nL+ersjLMnkg/sun094Liwq2FHF94nMKthR1X1kIdikKhuITfBBIKRUdROfreRfm/dTQaLVdffZK+\nfZ8CJCdP/jtnzjzjFt0+4X//fk51GXf4/nFbjUS9xdJxgy6j3vZZ5+eBRFVmFQUbC6jKrHIad8n/\n9tqI+vqW5RSKbo7f1EgoFApFdyAgIII+fR5Gqw3l1Kk/kpX1MBaLkeTkRxF++pbUUSOxv8LLlvgv\n2z1UI7Gr7FI7pSA/ub8iIsYzcuROAgOjPXcRe/8IVSOhULSImpFQdBt8OU+5O6D83z7i4/8Ng2EI\nIMjJeZysrD93KPXEqzUSw1WNhK9yXWQkOj8JIOwEBsYQGTmBkJAhbZJ3yf/h4c6fCoWiSVQgoVAo\nFD6IVqtn7NhvGTz4HYQI4OzZZzl+/DdI6f7UFk/j6COhVzUSrrLHgzUSsovUSCgUis5HBRKKboNP\n5Ih3Y5T/XaNHj3kMHrwFEFy48DYnTizEYmn/2vaqj4T3cEuNRE4Oy7KzqfVAjUSd7bPGA7p9gQ7V\nSNTVtSynaBPZ2dnMnTuXqKgowsPDmT59OpmZmW0+/4knnmDWrFkkJSWh0WiYP39+k3InTpxg2bJl\njBkzhqioKGJjY7nuuut47733mtW9YcMG0tLSCA4Opm/fvqxevRpTE/1DiouLufvuu0lKSkKv1zNo\n0CCee+65RgF4fn4+CxYsYPDgwURGRhIaGsrQoUNZvXo1VVVVjfS2xwZfRNVIKBQKhY8THT2N+Pjf\nUVDwNgUFm9DrU0hNXeVts9qMvTZC1Ui4zrYRIzyid2eDGongFrpa+wOxs2LRp+gJHRHacWWqRsJt\nXLhwgQkTJmCxWHjkkUfQ6XSsX7+eiRMnsn//ftLS0lrVsXz5cnr27MnYsWP56KOPmq0Xe/XVV3nl\nlVeYPXs2d911FyaTiXfeeYd58+axdOlS1q5d6yS/du1aHn30UebNm8dDDz3EwYMHWbFiBTk5Obz2\n2msOuaqqKiZMmEB2djb33HMPAwYMICMjgwcffJCzZ8/y/PPPO2RLSkrIyclh1qxZ9OnTB61Wy+HD\nh1m7di0fffQRe/fuRdvgd62tNvgsUkq1deJmdblCoVC0n5KSL2V6upDp6RpZXr7P2+a0meO/Py7T\nSZfZT2R72xRFE+h37JCkp8uLJpO3TfEdYmKkBCkLC6X6u90xHnjgAanVauXRo0cdY/n5+TIiIkLO\nnDmzTTpycnIcPwsh5Pz585uUO3jwoKysrHQas1gscvLkyTIgIEAWFhY62aDX6+W8efOc5B9++GEp\nhJBHjhxxjD377LNSCCHfffddJ9n77rtParVa+f3337f6Hew6Pv/8c5dsaIrW7k3bcY8+16rUJoVC\nofAToqKmEh39C8DC99/fjsXiH2kXWoOtRkL1kXAZe42EyQPpR9KWmmHxkxqJ8vI9fP31BE6f/rPn\nL+YnPukoGo2m2W3jxo0d0v3OO+8wefJkhg0b5hjr2bMnt9xyC59++mmz6T4NSU5ObtO1xowZQ2io\n84yUEII5c+ZgNps5efKkY/yDDz6gtraW++67z0n+3nvvddhtZ+fOnej1eubNm+ckO3/+fCwWC2+/\n/Xabv0N5g27y7bHBV1GBhKLboHL0vYvyv3vo3fsBgoKSMBqzyM1d2/oJNpT/vYc7fL/CViPhiV4P\ndp3+UiNRX19Cefkuqqu/b5O86iPROps3b3baNm3axLXXXosQgp49ewJQVFTUpq3hg3JeXh75+flc\nffXVja45duxY6uvrOXr0qMe/X15eHgBxcXGOsUOHDiGEYOzYsU6ySUlJJCUlceTIEcdYbW0tOp2u\nkV6DwQDA4cOHGx2rq6ujqKiIc+fO8c9//pNly5ZhMBiYMGGCSzb4KqpGQqFQKPyIqKjrGTz4LTIz\nJ3HmzBPExs4iLGyUt81qEUeNxD5VI+EqX3ioRmJHWZmjT6DBz2sk3Iq9NqK62rt2dBK333670/57\n773H3r17Wbx4MTNmzACgR48ebdI1efJk/vWvfwGXHuATExMbydnHzp8/77LdbeHChQu88sorjBkz\nhiuuuMIxnpeXR3R0NEFBQY3OSUhIcLIrLS2NL774gm+++YYRDX4X09PTgaa/w1tvvcXvfvc7x/7A\ngQP58MMPiY+Pd8kGX0UFEopugy+v5d4dUP53H5GRE0lMXExe3sscPfoLxo3LQaNp/IeoId70f+iI\nUCr3Vao+Ej7IpMhIgjUaaiyWLtt43CX/R0RAUZH1sz10Zk8OD6VdZWZmsmDBAqZMmcKLL77oGN++\nfXubzo+KinL8XGMrWm/qbb5er3eS8QT19fXccsstVFdX89e//tXpWE1NTZN22W0rKipy7C9atIiX\nX36Z2267jXXr1tG/f3927tzJo48+SkBAABebKMqfMWMG27dvp6Kigj179pCenk5paanLNvgqKpBQ\nKBQKPyQ2dhb5+X+nvv4nzpx5kpSUx71tUrM4+kioGgmX2VNejllKxoWHE6Bxc1ayn9VINEfRB0UU\n/qOQ2JtiiZsT1/oJLeFnTfrcRUFBATfddBMJCQls2bIFTYN7berUqe3WFxwcDFhTgy7HaDQ6ybgb\ni8XCHXfcwVdffcWbb77JqFHOM7fBwcEOG5qyraFdaWlpvPfeeyxatIhp06YB1rSm//qv/2LFihWE\nhYU10hEfH++YfZg1axZbt25lzpw5bNu2jeuvv77dNvgqqkZC0W1QOeLeRfnfvURHT2fYsI8ByM1d\nQ1XVNy3K+4T//fs51WXc4fuVthoJowfqGIy2AMITujuTqm+qKNhYQFWmc/GuS/6310a0t4+Eda2n\nztncTG1tLbNnz6aiooIPP/zQaWYBrP0R2rKVlJQ4zrGnL9lTnBrSUtpTR5FSctddd7FlyxZeeukl\nfv3rXzeSSUxMpLS0tMkgJy8vr5Fdv/jFLzhz5gxff/01u3fv5qeffmLBggUUFRUxYMCAVm2aOXMm\nBoOBN954w2UbfBEVSCgUCoWfEhU1mcTEe5DSxLFjM7FYfLMwtOKA6iPRUT4fMYKvRo0iNMC9iQQZ\npaWO+C7Y3TMdHiIiYhwjR+6kb9+nPHcRe6pKG1YU6iosWrSIgwcP8tZbbzXZ2yExMbFN28033+x0\nTnx8PPv27Wukb//+/QQGBjJ8+HC3f5c//vGP/O1vf+Ppp5/m7rvvblJmzJgxSCk5cOCA0/i5c+fI\ny8tj9OjRjc7RarWMGDGCcePGERYWxvbt25FSMn369FZtMplM1NXVUdagd4srNvgaKrVJ0W3w5Tzl\n7oDyv2fo1etP5OW9TG1tri3F6bEm5bzp/5DhIVTsqVA1Ej7I5KgoQjQaqv1oNiIwMIbIyAmtC9pw\nyf+RkXDhAlz2Vr6r8swzz7Bp0yaeeuopbrzxxiZlXKmRALj11ltZt24dx44dcywBm5+fz5YtW5gx\nY4ZTWlBxcTGFhYUkJye7nNbz5z//mZdffpnly5fz0EMPNSs3c+ZM7r//fl588UWnlZTWrVsHwC23\n3NLidSorK1m+fDl9+vRxmvEoLCx0Wh3Kzuuvv47JZHJaoamjNvgCKpBQKBQKP8ZgSGXw4Hf5/vub\nyc1dTWzsTEJDPbPCj6s4aiT0qkbCVfaWl2PyUI2Ev/WRULiXb7/9lqVLl5KamkpSUhKbN292Oj5+\n/HhSU1NdqpEAWLp0Ke+++y433HADS5YsQafTsW7dOiwWC08++aST7Lp161i1ahUZGRlMnDjRMb5p\n0yZyc3Md+8eOHWPNmjUATJo0yfEQ/uKLL/Lss88yePBgBg4c2Ox3AWsvi0ceeYTHHnuMW2+9lenT\np3Pw4EFeeeUVFi5cyJVXXul07vDhw7nppptISUmhsLCQ1157jYKCAj7//HOnoGft2rXs3LmTGTNm\nkJKSQnV1Nbt27WLr1q0MHDiQ+++/3yHbXht8Ek93vFOb6mztK6Snp3vbhG6N8r9n+eGHP8j0dOT+\n/UOk2VzX6Lg3/X9qySmZTro88+wZr9ngTdzh+xsyM+V1R47Iivr6jht0GSI9XZKeLvOMRrfr7kyy\nV2bLdNJl1qNZTuMu+T8qylqJkJvb5TtbZ2RkSCGE1Gg0UgjhtGk0Grlx48YOXyMrK0vOmTNHRkRE\nyNDQUDlt2rQmuzavWLFCajQauWPHDqfxyZMnO9lkt1Wj0ciVK1c65BYuXOh0vC3fZf369XLgwIFS\np9PJlJQUuXLlSmlqosv7nXfeKVNTU6VOp5M9evSQv/71r+WJEycayW3btk3Onj1b9unTR+r1emkw\nGOTw4cPl8uXLZUVFRZP+aasNl9PavUkndLYWUr2B6FSEEIAZY6IAACAASURBVFL53DtkZGT4dIpB\nV0f537PU11eyb18SZnMlffo8Rt++K52Oe9P/R647QsXuCuLmxTHk3SFescGb+PK9n15aytRvrIX6\nFdddR5ibazA6k8rMSqoyqwgdEUrYqEvpMi75X6ezFlp/9x1iyBDU322FLyKEaPHetB336BJkKpDo\nZFQgoVAoPEVW1iOcOfMEQgQyevRhQkOHedskAH74ww/89PJPJK9KJvXRVG+bo7iMsK++osps9vtA\nwq3Ex0NBAfz0EyIhQQUSCp/EFwIJ/1iiQaFQKBSt0rfvWhIT70bKek6cWOgzqzhpDaqPREfZW17O\nV2Vl1HugKNpeG2H2k4fl8vK9fP31BE6fbr6Q1m34iU8UCm+hAglFt8En1tHvxij/dw59+z5DYGAi\nVVVHnB60lP+9hzt8vyo312N9JGpsOqvNZrfr9gQmUynl5buorv6uTfIu+d9ksn62t4+EQtHNUIGE\nQqFQdCECAsKIirKudnL+/EtUVX3rZYsu9Y+o2Kv6SLjKp8OH89WoUW5PPfqyQR8JldbUAHv/iMpK\n79qhUPg4KpBQdBt8tdixu6D833kMHvw2CQn/Dpj44Ye7kFJ61f+hI0IBCBmh+kj4GtdHRRGmtaac\nddUkHpf8b++FEB3tVlsUiq6GCiQUCoWiC9Kv3zMEBMRSWbmf4uJPvGqLo4+EqpFwGU/WSNiLNf29\nj0TRh0UcX3icwvcKO65MeLQ+VaHoMqhAQtFtUDni3kX5v3MJCAgnONi6QtK5c8/5hv/9+znVZdzh\n+9W2GomLHggk7Dqr/KRGojmqjlZRsLGAyq+d05Fc8r+9NqK2tuOGKRRdGJUQqVAoFF2UgQNf59Ch\nUZSV7aC2Nt9rdlQcsNVI7FM1Eq7yz+HDPaJ3e0kJ9tDEnuLk64SHX8PIkTsJCIjy3EVUjYRC0SbU\njISi2+DLecrdAeX/zic0dCg9etwKWOjX75DX7AgZbq2NUDUSvsfPoqMJ95MAwk5gYDSRkRMIDR3a\nJnmX/B8T4/ypUCiaRAUSCoVC0YVJSvojAOfPr8NkqvKKDY4aCb1/PbD6EvtUjYRCofBBVCCh6Db4\nRI54N0b53zuEhAxFq43g66/ryM/f6B0junndqjtrJDzR66HaFpxU+nmNRHN0qEbCaHSrLQpFV0PV\nSCgUCkUXJiAglIED/4fDh2/l/Pl1JCUtRojOfYfk6COhaiRc5hMP1Uhsa1AjEe7nfSRifxWLrpeO\n0OGhHVemaiQUijYhpJrK7FSEEFL5XKFQdCYWSz379/eltvYcQ4Z8QFzcTZ16/ZP3nSRvXR59HutD\n35V9O/XaitaJ2rWLMpOJkvHjiQoM9LY5vkGvXnD+PJw9i+jdG/V3W+GLCCFavDdtxz06J6xSmxQK\nhaKLo9EEEh09A4CsrD93+vW1BtVHoqPYayTqPFAjYa+NMPvJw3JFxX6+/noCP/74J89fzE984utk\nZ2czd+5coqKiCA8PZ/r06WRmZrbp3Pz8fBYsWMDgwYOJjIwkNDSUoUOHsnr1aqqqGtd9FRcX86c/\n/YkBAwZgMBhITk7mN7/5DSdOnGgkq9FomtymTZvmJLdixYpmZTUaDYsWLXLZXoANGzaQlpZGcHAw\nffv2ZfXq1ZhMpjb5x9v49zymQtEOMjIyfHr1lK6O8r93OXlyCOHhQdTU/EB19XFCQtK8bVK3wR33\n/prcXMrNZj4aOpQgjXvfAdr7R1SYzcS6VbNnqK8vpbx8FxpN21YBc8n/9fXWT9VHosNcuHCBCRMm\nYLFYeOSRR9DpdKxfv56JEyeyf/9+0tJa/r+opKSEnJwcZs2aRZ8+fdBqtRw+fJi1a9fy0UcfsXfv\nXrS2lcfq6uqYNGkSOTk5LF68mLS0NLKzs9mwYQMff/wxR48eJTk52Un/+PHjWbx4sdNYQkKC0/7c\nuXMZMGBAI9s2b97MZ599xo033uiSvQBr167l0UcfZd68eTz00EMcPHiQFStWkJOTw2uvvdY2J3sT\nKaXaOnGzulzhDdLT071tQrdG+d+7pKenyxMnFsn0dOQPP9zdqdc+MvmITCddHr3paKde11fw5Xv/\ns+JiSXq6JD1dFtfVeducNlFU9KlMT0dmZt7QJnmX/K/XSwlSHj4s1d/tjvHAAw9IrVYrjx699Puf\nn58vIyIi5MyZM13W++yzz0ohhPz8888dY5988okUQsj169c7yX744YdSCCGfffZZp3EhhJw/f77L\nNvTv31/GxcXJ+vp6l+zNz8+Xer1ezps3z0n24YcflkIIeeTIkRZ1tnZv2o579LlWpTYpug3qbbh3\nUf73LpMnT6ZXr/sB+OmnN6irK+m0a4eOsBa/qj4SvscN0dFE2Yqsu2oSj0v+j411/uzitJS2s3Fj\nx1Z7e+edd5g8eTLDhg1zjPXs2ZNbbrmFTz/9tNl0n9awzyyUl5c7xioqrAs6xMfHO8na90NCGv8f\nJKWkvr6e6urqdl1/9+7dnD59mttuu42ANixU0JS9H3zwAbW1tdx3331Osvfeey9g9Z2vo1KbFAqF\noptgMKSh1YZjNldw/vw6UlMf75TrOvpIqBoJl9lXXk69lFwdHu721CZ7jYS/95Eo+qiIwvcKifll\nDD1u7tExZaJ7rVm8efNmp30pJS+//DJ79+6lZ8+eABQVFbVJV2BgIBEREQDk5eWRn5/PnXfe2Uhu\n7NixvPrqqxw9epRrr722Vb11dXVUVFRgNBo5evQoy5Ytw2AwMGHCBIfMddddh06nY/ny5URGRjJo\n0CBycnJYsmQJ/fv35/bbb2+k9x//+Advv/02FouFpKQkFi1axLJly5zSj5rCHmAtXLjQZXsPHTqE\nEIKxY8c6nZuUlERSUhJHjhxp1S/eRs1IKLoNqo+Bd1H+9y4ZGRkIIRgwYAMA+fmvYbF0cjGffz+n\nuow77v21Z86wLDvbUc/gTuz9I8r9pLizOaqPVVOwsYCqI85vuFUfida5/fbbnTa9Xs/evXtZvHgx\nM2ZYF2ro0aNHm7bZs2c79Obl5QGQmJjY6Jr2sfPnz7fJxrfeeosePXrQp08ffvnLX6LVavnwww+d\nZh969erF22+/TUVFBdOmTaN3795MmDABrVbLrl27CA8Pd9J59dVXs2bNGrZu3crrr7/O4MGDefzx\nx7nttttatMVoNPLuu+8ybNgwRo0a5bK9eXl5REdHExQU1Oj8hISENvvGm6gZCYVCoehG9OhxGzk5\nK6mpOUVR0VZ69LjZ49dUfSQ6zkcN0kLcyWfFxY4+EpF+0kciPHwsI0fuJCAgynMXsaXI0CANpS2I\nTnxhIj2UMpeZmcmCBQuYMmUKL774omN8+/btbTo/KurSv0tNTQ0AOp2ukZxer3eSaY0ZM2awfft2\nKioq2LNnD+np6ZSWljaSi4uLY8yYMVx99dUMHz6cH3/8kaeffpobbriB7du3ExMT45Ddu3ev07kL\nFy5k/vz5vPnmm+zYsYNJkyY1acvWrVupqKhgwYIFHbK3pqamSd+A1T9tnQXyJv7xv4ZC4QZ8OU+5\nO6D8713s/hdCQ0LC3WRl/YmsrIc7JZAIGRFCWXqZqpHwQWbExBAdEECJH81GBAZGExk5oXVBGy75\nPy4OzpyBHh1MkfIzCgoKuOmmm0hISGDLli1oGqTRTZ06td36goODAahtYvUro222xy7TGvHx8Y63\n+bNmzWLr1q3MmTOHbdu2cf311wPWVKGpU6fy8ccfOy3h+rOf/YxRo0axZs0ann/++Rav8/DDD/Pm\nm2+ybdu2ZgOJv//97wQEBHDHHXd0yN7g4GCHHy7HaDS22TfeRAUSCoVC0c0IC7sSCMBozKKy8jBh\nYaM9ej1HjYRe1Ui4iidrJGQXqZHwBTw1S9AZ1NbWMnv2bCoqKti7d6/TzAJY+yO0haCgIKKjo4FL\n6Uv2FKeGtJT21BZmzpyJwWDgjTfecDyYv/TSSwQFBTXqAzF06FD69+/Pzp07W9Xbp08foPmakPz8\nfL744gt+/vOf06MdgWZT9iYmJlJaWkptbW2jmYm8vLxWl8b1BVSNhKLboHL0vYvyv3dp6P+oqMn0\n6mVdFeTcuRc8f/HuVbfaCHfc+094sEaiwqaz1I9mJdqDqpFoG4sWLeLgwYO89dZbTT7AJiYmtmm7\n+eabnc6Jj49n3759jfTt37+fwMBAhg8f7pK9JpOJuro6ysrKHGN5eXkNl9tvJF9v7w/SAj/++CNA\ns0HC5s2bsVgsLaY1tdXeMWPGIKXkwIEDTrLnzp0jLy+P0aM9+5LHHagZCYVCoeiGJCXdy7lzL1BQ\n8DapqU+h17v2VrAtqBqJjvOhh2okPi0uxh6aRAcGeuQanUXML2MISgwidFhox5XZayPaWSPhrzzz\nzDNs2rSJp556yqm5WkNcqZEAuPXWW1m3bh3Hjh1zLAGbn5/Pli1bmDFjBmFhYQ7Z4uJiCgsLSU5O\ndqT1FBYWEhcX1+g6r7/+OiaTyWnFo7S0NLZt28Z7773nFNDs2bOHrKwsp4f/oqIiYi9b3tdsNrNy\n5UqEEPziF79o8vtt3LiR6OhoZs6c2eTx9tg7c+ZM7r//fl588UWn1ZzWrVsHwC233NLkNXwJ0VTU\nprAihFgKzAEGALXAPmCplPK79shcplMqnysUCl/g4MGRVFd/Q3z87xg0yHMdVE8tOcX558/Te1lv\n+q3t57HrKFwjbvduiurruXDttcQ1sXpMtyQlBXJzITsbkZra5BvursK3337LiBEjSElJYdWqVY2+\n6/jx40lNTXVZ/4ULFxg1ahRSSpYsWYJOp2PdunXk5+ezb98+Bg8e7JBdsWIFq1atIj093VGf8MAD\nD7Bz505mzJhBSkoK1dXV7Nq1i61btzJgwAD27dvnWG42KyuL0aNHU1NTw6JFixg6dCinT59mw4YN\naDQaDhw4wMCBAx3X+r//+z9mzpxJnz59KCsrY8uWLRw5coTf//73/PWvf230XY4cOcKYMWNYvHgx\nL730UpPftz32AqxZs4bHHnuMefPmMX36dA4ePMgrr7zCggULeP3111v0rRCixXvTdtyzc8Ke7njn\nzxvwGbAAGAwMBd4HfgKi2iNzmU6pUCgUvkBOzhMyPR25a1cPaTYbPXad04+clumky+zV2R67Rldn\nX3m53FlaKmvNZrfrjv7qK0l6uswzeu4ecCfl5fvlkSPXyVOn/sNzF0lOtna2zsrq8p2tMzIypBBC\najQaKYRw2jQajdy4cWOHr5GVlSXnzJkjIyIiZGhoqJw2bVqTXZtXrFghNRqN3LFjh2Ns27Ztcvbs\n2bJPnz5Sr9dLg8Eghw8fLpcvXy4rKioa6cjOzpZ33nmn7Nevn9TpdDIuLk7efPPN8rvvvnOS27Zt\nm/z5z38uk5KSpE6nk2FhYXLcuHHytddea/Z73HfffVKj0cgDBw40K9Nee6WUcv369XLgwIFSp9PJ\nlJQUuXLlSmkymZq9hp3W7k06obO1mpFoB0KIEKAcmCml/MQVGTUj4T0yMjJ8evWUro7yv3dpyv9S\nSg4dGkV19TcMGvQ34uPbl/PbVrKWZ3Fm7RlSVqeQsjzFI9fwZdxx7888dowSk4l/DBlCrJtnDQIy\nMjAD3191FWlNdP71NUpKvuDo0RuIiprGiBFftCrvkv8TEiA/H44fR6SldekZCYX/4gszEqrYun2E\nY/VZ44WL2yejUCgUXkcIQa9e9wOQm7vWYw9LjhqJvapGwlU+GDaMr0aNcnsQ8UmDGokYP6+RcCv2\nPhINCmMVCkVjVCDRPl4Avgb2dlBG4QXU23DvovzvXZrzf1TUNEBQU3OK8vKvPHLt0BHW4lfVR8L3\n+EVMDHG2AKKrvnN3yf/2FXt69nSrLQpFV0MFEoAQ4jdCiMoG2/gmZJ4DrgXmNpeb1BYZhUKh8CX0\n+l4kJVlnJTy1FKyjj0Sw6iPhKvsrKviqrIxai6V14XZi7x9h9vM/W8WfFHN84XEubLngPqV+7hOF\nwtP4TSAhhLhZCLFOCPGVEKJCCGERQmxq5ZxeQojXhRB5QgijECJbCPG8ECLyMtEPgBENtsOX6Xke\nuBWYKqXMaeZarcoovIvqY+BdlP+9S0v+79PnzwgRSFHRVmpqcjxnRDd9JnPHvf9kbi7LsrOp9ECv\nhzKbTn/vI1F1rIqCjQVUHq50Gu9QH4kmOjIrFIpL+FMfieXAcKASOAcMooU/S0KIfsAeIA7YCpwA\nrgbuB2YIIcZLKUsApJRVQFUzel4A5gFTpJQnXZVRKBQKX0WnSyAm5lcUFb1Pbu4qBg1qecnB9qL6\nSHScrR7qI/FxUdGlGokA/3gkCAu7ipEjdxIQcPk7QTdir40oVeWOCkVL+M2MBPAAcIWUMgJY3Ab5\nDViDiHullHOklMuklNcDzwMDgbWtKRBCvAQsBH4DlAsh4m1bSHtkFL6BL+cpdweU/71La/4PDLQ2\nUKqqOur2a9trI1SNhO/xy9hYevhZkXVgYBSRkRMIDW1bcOWS/+21EapGQqFoEb8JJKSUGVLK07bd\nFpeyss1GTAOypZSXdwx5HLgI3CGEMLRy2cVAKPAlkNdg+1M7ZRQKhcKn6dv3SUBDdfVRTKYmJ2hd\nxlEjoVc1Eq7iyRoJ2UVqJNyK8GwPL4Wiq+A3gUQ7mWL7bLTAtC2NaTcQAlzTkhIppUZKqbV9NtxW\ntUdG4RuoHH3vovzvXVrzf2BgFOHhY5GynvLyHe69eDd/JnPHvf/UmTMsy86mwgN1DPbaiJL6erfr\n9gVc8r+9NsJodKstCkVXwz8SItvPQNtnc/UKp7DOWFwB/KtTLFIoFAofx2AYSkXFPs6de4GYmF+4\nTa+qkeg4/xg61CN6Pyoqwh6auLtHRWcT84sYguKDCBnqhhQ6e41ESUnHdSkUXZiuGkhE2D7Lmzlu\nH/dgpVbzjBw5kpEjR5KSkkJkZCQjR4505HDa35yofffvT5482afs6W77yv++7/+jR3Xk5cHVV//o\n1uv3Gt6L0s9LORZ5jJKMEp/wh9q37ocB8UFB5NfVsWfHDmKCgnzKvvbsHyo+BCkweYwb9MXHk3H6\nNJw5g0LhD2RkZJCZmUlZWRk5OTlkZmZ2ynWFP7Y7EEJMxjqTsFlK+dsmjv8PcBdwl5Sy0fIjQoi1\nwFJgqZTyaQ+be/m1VYsJhULhk1gs9ezeHYvZXME11+Sg1ye7RW/2imxyV+aS/HgyqStS3aKzu3Gg\nooJai4Wx4eHoNO7NSu6xezeF9fWcveYaeun1btXtCSoqDnH69H8QGjqaK674f565SP/+cPo0nDqF\nuOIKj3V9Vyg6ghCixXvTdtyjyaVdtUbCPuMQ0cxx+3hZJ9ii8BHsb5sU3kH537u0xf8aTSBRUVMB\nKCnZ5mGLug/uuPftNRJlHqyRKPKTGgmTqYzy8l1UV3/bJnmX/G+vkaipaf+5CkU3oqumNp2wfQ5s\n5vgVtk/V80GhUCgaoNf3A+DcuedITLzLLTrttREVe1WNhKu876EaiQ+KijDZ3mj2CPLvGgm3ovpI\nKBRtoqvOSKTbPqcJ4byGmxAiDBgPVAP7Otswhfew58EqvIPyv3dpq/+jon4GQG1tHlKaW5FuG6Ej\nQwHVR8IXmRkbS0IXDyBc8n98vPUzIcGttnQ3pJT8/e9/Z+7cuaSkpGAwGBg4cCCLFy+moKCgzXqe\neOIJZs2aRVJSEhqNhvnz5zcrW1xczN13301SUhJ6vZ5Bgwbx3HPPNUoBWrFiBRqNptlt0aJFzV7j\nxIkT6HQ6NBoNX375ZZMyGzZsIC0tjeDgYPr27cvq1asxNTOj2B5ZX6NLzkhIKbOEEF8A04F7gPUN\nDq8EDMB/SynVnKVCoVA0ICZmBnp9X4zGLCorDxMePrbDOh19JIJVHwlXsddIXBUWhl7rXj/a+0eY\n/LwOoPifxVx49wIxP4+hx6093KPUz33ibaqrq1m4cCGjR4/md7/7Hb179+b48eO8/PLL/OMf/+DQ\noUP06tWrVT3Lly+nZ8+ejB07lo8++gjRTJ+PqqoqJkyYQHZ2Nvfccw8DBgwgIyODBx98kLNnz/L8\n8887ZOfOncuAAQMa6di8eTOfffbZ/2/v3sOjqs7Fj3/fJJCQBIHILUSFxAsX5WapFhXkIkihD0or\nAhYKPUc5UhR/PVYpggJWrFWPVqByeqwFDGIVqeI5rS0Fk6IYSxBQLqKihIsxIYFAEhJCLuv3x54J\nmWQmmZnMZM9k3s/z7GfI3mvvWfPOZmav2etdi/Hjx3usz9y5c2nbti1VVVVu67Js2TIeffRRJk+e\nzEMPPUR2djZLliwhJyeHl19+2e+yIckYExYLcDuwxrH8DagBDtVZ90y98mlAnqPcW8CvsRK0a4DP\ngE42vQ6j7JGRkWF3FSKaxt9evsT/88/vNRkZmK+/XhyQ5z685LDJIMN8/ejXATleuAnEuf/DvXvN\nTbt2mbyKiuZXqJ6YzExDRob5uLg44McOhpMn/2EyMjC7d492WX/kN0dMBhnm0EOHXNb7Ff9LLzUG\njPnkE6Pf2/47f/68+eCDDxqsf++994yImAceeMCr4+Tk5NT+W0TMjBkz3JZ79tlnjYiYN954w2X9\nvHnzTHR0tDlw4ECTz3XFFVeYLl26mMrKSrfb169fb9q1a2cWL15sRMRs3brVZXteXp6Ji4szkydP\ndlk/f/58IyJm165dfpV1p6lz07E9qNe14dS1aSDwE2AG1hwQBkh1rPsJ8KO6hY0xXwNDsBoZ1wP/\n6Sj/W+B7xhjt+KiUUm60bWv9Qpib+98BOZ7OI9F8G6+5hvcHD6ZbgLshvV1QUHsnItDHDpb27b/D\noEHbuOKK55su7C9nbkSEzCPRWBeftWvX+n3cNm3acOONNzZYP3LkSDp16sSBAwe8Ok7Pnt6NILdt\n2zbi4uKYPHmyy/oZM2ZQU1PDa6+91uj+27dv56uvvmLatGnExDTstFNcXMyDDz7I/PnzSU11PwLd\npk2bqKioYN68eS7r77//fgBef/11v8qGqrDp2mSMWYrVLcmXfY4D/xacGqlwE8r9lCOBxt9evsS/\nS5c7ycl5jMrKQqqqiomJuahZz50wMIFT757SHIkQdHuXLvRo25bc8+fDZojTNm060bHjMK/L+xX/\n5GT48suIyZFYt26dy9/GGFatWkVWVhbdunUDoLCw0KtjtWnThg4dPA2aaSkpKaG0tJQuXbr4V2EP\nKioqiI2NbbA+Pj4egI8//rjR/Z2NplmzZrndvnjxYuLi4vjlL3/psVGyc+dORITrrnPtFpqSkkJK\nSgq7du3yq2yoCpuGhFJKqZaRkHAlF130PYqLP+T06Uw6d57YrOPV5kjEaY6Ev4KZI1HjaEBUh0lD\nokV46IPflEzJDGw9GjHCjAjYse666y6Xvzdu3EhWVhZz5sxh3LhxAHTt6l3eyYgRI3jvvfcaLfPM\nM89QWVnZ4Hmbq2/fvmzevJlPPvmEgQMH1q7PyLDG4Pnmm2887nvu3DneeOMN+vfvz+DBgxts//TT\nT1m5ciUbNmxw21hxys3NJSkpibZu7vAlJye71MGXsqFKGxIqYmRmZob0L4OtncbfXr7GPylpLMXF\nH1JQ8OdmNyQI6nRIoS8Q5/7TR4+SX1nJhn796B7ghsRJx+gwBZWV9GzXLqDHDgV+xf/cOesxAueR\n2LNnDzNnzmTkyJEsX768dv2WLVu82r9Tp06Nbn/33XdZtmwZP/rRj5gwYUKz6lrf7NmzWbVqFdOm\nTWPFihVcccUVbNu2jUcffZSYmBjKyso87vv2229TXFzMzJkzG2wzxjBnzhxGjx7N7bff3mgdysvL\nPTY04uLiXO7s+FI2VGlDQimlVANt2/YAoLDwLaxUM/9pjkTzvRmkeSTeKiigMsxyJDxJ+n4Sbbq2\nIeG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79mxWrVrFtGnTWLFiBVdccQXbtm3j0UcfJSYmhrJGRtaqrKzkzjvv5OzZs/z+9793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\nZ/8f4TNmeUWhZ9kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6526183c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline \n",
    "from numpy import loadtxt, size, arange, nanmin, where, nan_to_num, pi\n",
    "from matplotlib.pyplot import plot, matshow, figure, show\n",
    "from matplotlib.colors import LogNorm\n",
    "from src.analytic import Ecut\n",
    "\n",
    "import matplotlib as mpl\n",
    "label_size = 20\n",
    "mpl.rcParams['xtick.labelsize'] = label_size\n",
    "mpl.rcParams['ytick.labelsize'] = label_size\n",
    "\n",
    "mat = loadtxt(\"Results/EmissMatrix__PLE_Paper_10TeV.txt\",unpack=True)\n",
    "Eaj = mat[1:,0] # MeV\n",
    "z = mat[0,1:]\n",
    "Emiss = nan_to_num(mat[1:,1:])  # ph/MeV/cm^2/s/sr/bin-z\n",
    "\n",
    "mat = loadtxt(\"Results/EGB_Dominguez.dat\",unpack=True)\n",
    "Eabs = mat[1:,0] # GeV\n",
    "z = mat[0,1:]\n",
    "dNdE = mat[1:,1:] # GeV\n",
    "\n",
    "mat = loadtxt(\"Results/EGB_Dominguez-gen=0.dat\",unpack=True)\n",
    "Eabs0 = mat[1:,0] # GeV\n",
    "z = mat[0,1:]\n",
    "dNdE0 = mat[1:,1:] # GeV\n",
    "\n",
    "ax = figure(figsize=(12,9)).add_subplot(111)\n",
    "p,=ax.plot(Eabs,Eabs**2*dNdE.sum(axis=1)*1e3,linewidth=2,color='k',label=\"all contrib.\")\n",
    "ax.plot(Eabs0,Eabs0**2*dNdE0.sum(axis=1)*1e3,linewidth=2,linestyle=\":\",color=p.get_color())\n",
    "ax.plot(Eaj*1e-3,Eaj**2*Emiss.sum(axis=1),linewidth=2,linestyle=\"--\",color=p.get_color())\n",
    "\n",
    "ax.legend(loc=\"best\",fontsize=\"xx-large\")\n",
    "ax.set_xlabel(\"$E$ [GeV]\",fontsize=\"xx-large\")\n",
    "ax.set_ylabel(\"$E^2 dN/dE$ [MeV ph/cm$^2$/s/sr]\",fontsize=\"xx-large\")\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "ax.grid(b=True,which='major')\n",
    "\n",
    "ax1 = figure(figsize=(12,9)).add_subplot(111)\n",
    "for i in [0,8,16,20,26,28]:\n",
    "   p,=ax1.plot(Eabs,Eabs**2*dNdE[:,i]*1e3,linewidth=2,label=\"z=%f\"%z[i])\n",
    "   ax1.plot(Eabs0,Eabs0**2*dNdE0[:,i]*1e3,linewidth=2,linestyle=\":\",color=p.get_color())\n",
    "   ax1.plot(Eaj*1e-3,Eaj**2*Emiss[:,i],linewidth=2,linestyle=\"--\",color=p.get_color())\n",
    "   #ax.axvline(x=Ecut(z[i])*1e3, ymin=1e-3,ymax=1e9,linewidth=2,linestyle=\"-.\",color=p.get_color())\n",
    "\n",
    "ax1.legend(loc=\"best\",fontsize=\"xx-large\")\n",
    "ax1.set_xlabel(\"$E$ [GeV]\",fontsize=\"xx-large\")\n",
    "ax1.set_ylabel(\"$E^2 dN/dE$ [MeV ph/cm$^2$/s/sr]\",fontsize=\"xx-large\")\n",
    "ax1.set_xscale('log')\n",
    "ax1.set_yscale('log')\n",
    "ax1.grid(b=True,which='major')\n",
    "\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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