decay_analysis.ipynb

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     "text": [
      "/home/scopatz/miniconda/lib/python3.6/importlib/_bootstrap.py:219: QAWarning: pyne.data is not yet QA compliant.\n",
      "  return f(*args, **kwds)\n",
      "/home/scopatz/miniconda/lib/python3.6/importlib/_bootstrap.py:219: QAWarning: pyne.material is not yet QA compliant.\n",
      "  return f(*args, **kwds)\n",
      "/home/scopatz/miniconda/lib/python3.6/importlib/_bootstrap.py:219: QAWarning: pyne.rxname is not yet QA compliant.\n",
      "  return f(*args, **kwds)\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import pyne\n",
    "from decay_compare import *\n",
    "from pyne import data\n",
    "from pyne import rxname\n",
    "import tables as tb\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def setup_matplotlib_rc():\n",
    "    from matplotlib import rcParams\n",
    "    rcParams['pgf.texsystem'] = 'lualatex'\n",
    "    rcParams[\"text.usetex\"] = True\n",
    "    rcParams[\"font.family\"] = 'serif'\n",
    "    rcParams[\"font.serif\"] = \"Computer Modern Roman\"\n",
    "    rcParams[\"font.sans-serif\"] = \"Computer Modern Sans serif\"\n",
    "    rcParams[\"font.monospace\"] = \"Computer Modern Typewriter\"\n",
    "    rcParams[\"font.size\"] = 14\n",
    "\n",
    "setup_matplotlib_rc()"
   ]
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      "Running nuc Es248\n",
      "Running nuc Fm248\n",
      "Running nuc Md248\n",
      "Running nuc No248\n",
      "Running nuc Am249\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running nuc Cm249\n",
      "Running nuc Bk249\n",
      "Running nuc Cf249\n",
      "Running nuc Es249\n",
      "Running nuc Fm249\n",
      "Running nuc Md249\n",
      "Running nuc No249\n",
      "Running nuc Cm250\n",
      "Running nuc Bk250\n",
      "Running nuc Cf250\n",
      "Running nuc Es250\n",
      "Running nuc Fm250\n",
      "Running nuc Md250\n",
      "Running nuc No250\n",
      "Running nuc Cm251\n",
      "Running nuc Bk251\n",
      "Running nuc Cf251\n",
      "Running nuc Es251\n",
      "Running nuc Fm251\n",
      "Running nuc Md251\n",
      "Running nuc No251\n",
      "Running nuc Lr251\n",
      "Running nuc Cm252\n",
      "Running nuc Bk252\n",
      "Running nuc Cf252\n",
      "Running nuc Es252\n",
      "Running nuc Fm252\n",
      "Running nuc Md252\n",
      "Running nuc No252\n",
      "Running nuc Lr252\n",
      "Running nuc Bk253\n",
      "Running nuc Cf253\n",
      "Running nuc Es253\n",
      "Running nuc Fm253\n",
      "Running nuc Md253\n",
      "Running nuc No253\n",
      "Running nuc Lr253\n",
      "Running nuc Rf253\n",
      "Running nuc Bk254\n",
      "Running nuc Cf254\n",
      "Running nuc Es254\n",
      "Running nuc Es254M\n",
      "Running nuc Fm254\n",
      "Running nuc Md254\n",
      "Running nuc No254\n",
      "Running nuc Lr254\n",
      "Running nuc Rf254\n",
      "Running nuc Cf255\n",
      "Running nuc Es255\n",
      "Running nuc Fm255\n",
      "Running nuc Md255\n",
      "Running nuc No255\n",
      "Running nuc Lr255\n",
      "Running nuc Rf255\n",
      "Running nuc Db255\n",
      "Running nuc Cf256\n",
      "Running nuc Es256\n",
      "Running nuc Fm256\n",
      "Running nuc Md256\n",
      "Running nuc No256\n",
      "Running nuc Lr256\n",
      "Running nuc Rf256\n",
      "Running nuc Db256\n",
      "Running nuc Es257\n",
      "Running nuc Fm257\n",
      "Running nuc Md257\n",
      "Running nuc No257\n",
      "Running nuc Lr257\n",
      "Running nuc Rf257\n",
      "Running nuc Db257\n",
      "Running nuc Es258\n",
      "Running nuc Fm258\n",
      "Running nuc Md258\n",
      "Running nuc No258\n",
      "Running nuc Lr258\n",
      "Running nuc Rf258\n",
      "Running nuc Db258\n",
      "Running nuc Sg258\n",
      "Running nuc Fm259\n",
      "Running nuc Md259\n",
      "Running nuc No259\n",
      "Running nuc Lr259\n",
      "Running nuc Rf259\n",
      "Running nuc Db259\n",
      "Running nuc Sg259\n",
      "Running nuc Fm260\n",
      "Running nuc Md260\n",
      "Running nuc No260\n",
      "Running nuc Lr260\n",
      "Running nuc Rf260\n",
      "Running nuc Db260\n",
      "Running nuc Sg260\n",
      "Running nuc Bh260\n",
      "Running nuc Md261\n",
      "Running nuc No261\n",
      "Running nuc Lr261\n",
      "Running nuc Rf261\n",
      "Running nuc Db261\n",
      "Running nuc Sg261\n",
      "Running nuc Bh261\n",
      "Running nuc Md262\n",
      "Running nuc No262\n",
      "Running nuc Lr262\n",
      "Running nuc Rf262\n",
      "Running nuc Db262\n",
      "Running nuc Sg262\n",
      "Running nuc Bh262\n",
      "Running nuc No263\n",
      "Running nuc Lr263\n",
      "Running nuc Rf263\n",
      "Running nuc Db263\n",
      "Running nuc Sg263\n",
      "Running nuc Bh263\n",
      "Running nuc Hs263\n",
      "Running nuc No264\n",
      "Running nuc Lr264\n",
      "Running nuc Rf264\n",
      "Running nuc Db264\n",
      "Running nuc Sg264\n",
      "Running nuc Bh264\n",
      "Running nuc Hs264\n",
      "Running nuc Lr265\n",
      "Running nuc Rf265\n",
      "Running nuc Db265\n",
      "Running nuc Sg265\n",
      "Running nuc Bh265\n",
      "Running nuc Hs265\n",
      "Running nuc Mt265\n",
      "Running nuc Lr266\n",
      "Running nuc Rf266\n",
      "Running nuc Db266\n",
      "Running nuc Sg266\n",
      "Running nuc Bh266\n",
      "Running nuc Hs266\n",
      "Running nuc Mt266\n",
      "Running nuc Rf267\n",
      "Running nuc Db267\n",
      "Running nuc Sg267\n",
      "Running nuc Bh267\n",
      "Running nuc Hs267\n",
      "Running nuc Mt267\n",
      "Running nuc Ds267\n",
      "Running nuc Rf268\n",
      "Running nuc Db268\n",
      "Running nuc Sg268\n",
      "Running nuc Bh268\n",
      "Running nuc Hs268\n",
      "Running nuc Mt268\n",
      "Running nuc Ds268\n",
      "Running nuc Db269\n",
      "Running nuc Sg269\n",
      "Running nuc Bh269\n",
      "Running nuc Hs269\n",
      "Running nuc Mt269\n",
      "Running nuc Ds269\n",
      "Running nuc Db270\n",
      "Running nuc Sg270\n",
      "Running nuc Bh270\n",
      "Running nuc Hs270\n",
      "Running nuc Mt270\n",
      "Running nuc Ds270\n",
      "Running nuc Sg271\n",
      "Running nuc Bh271\n",
      "Running nuc Hs271\n",
      "Running nuc Mt271\n",
      "Running nuc Ds271\n",
      "Running nuc Sg272\n",
      "Running nuc Bh272\n",
      "Running nuc Hs272\n",
      "Running nuc Mt272\n",
      "Running nuc Ds272\n",
      "Running nuc Rg272\n",
      "Running nuc Sg273\n",
      "Running nuc Bh273\n",
      "Running nuc Hs273\n",
      "Running nuc Mt273\n",
      "Running nuc Ds273\n",
      "Running nuc Rg273\n",
      "Running nuc Bh274\n",
      "Running nuc Hs274\n",
      "Running nuc Mt274\n",
      "Running nuc Ds274\n",
      "Running nuc Rg274\n",
      "Running nuc Bh275\n",
      "Running nuc Hs275\n",
      "Running nuc Mt275\n",
      "Running nuc Ds275\n",
      "Running nuc Rg275\n",
      "Running nuc Hs276\n",
      "Running nuc Mt276\n",
      "Running nuc Ds276\n",
      "Running nuc Rg276\n",
      "Running nuc Cn276\n",
      "Running nuc Hs277\n",
      "Running nuc Mt277\n",
      "Running nuc Ds277\n",
      "Running nuc Rg277\n",
      "Running nuc Cn277\n",
      "Running nuc Mt278\n",
      "Running nuc Ds278\n",
      "Running nuc Rg278\n",
      "Running nuc Cn278\n",
      "Running nuc Mt279\n",
      "Running nuc Ds279\n",
      "Running nuc Rg279\n",
      "Running nuc Cn279\n",
      "Running nuc Ds280\n",
      "Running nuc Rg280\n",
      "Running nuc Cn280\n",
      "Running nuc Ds281\n",
      "Running nuc Rg281\n",
      "Running nuc Cn281\n",
      "Running nuc Rg282\n",
      "Running nuc Cn282\n",
      "Running nuc Rg283\n",
      "Running nuc Cn283\n",
      "Running nuc Cn284\n",
      "Running nuc Cn285\n",
      "Running nuc Fl285\n",
      "Running nuc Fl286\n",
      "Running nuc Fl287\n",
      "Running nuc Fl288\n",
      "Running nuc Fl289\n",
      "Running nuc Lv289\n",
      "Running nuc Lv290\n",
      "Running nuc Lv291\n",
      "Running nuc Lv292\n",
      "Running nuc Lv293\n",
      "CPU times: user 21min, sys: 2.94 s, total: 21min 3s\n",
      "Wall time: 21min 5s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "nucs = cram.NUCS\n",
    "#n = 34\n",
    "#nucs = cram.NUCS[100*n:100*(n+1)]\n",
    "#nucs = cram.NUCS[:100*(n+1)]\n",
    "# degenerate cases\n",
    "#nucs = ['Lu153', 'Tm149', 'Pt183', 'Os179', 'Ir172', 'Re168']\n",
    "#nucs = ['Ir172']\n",
    "# run custom\n",
    "#nucs = ['Ra233', 'Ac225']\n",
    "#nucs = ['Es254', 'U238']\n",
    "batemans, crammeds, diagexps = run_nuclides(nucs=nucs, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3491"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "NNUCS = len(crammeds)\n",
    "NNUCS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "b = np.zeros((NTIMES, NNUCS), dtype=float)\n",
    "c = np.zeros((NTIMES, NNUCS), dtype=float)\n",
    "d = np.zeros((NTIMES, NNUCS), dtype=float)\n",
    "for n, nuc in enumerate(nucs):\n",
    "    b[:, n] = batemans[nuc][nuc]\n",
    "    c[:, n] = crammeds[nuc][nuc]\n",
    "    d[:, n] = diagexps[nuc][nuc]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "diagdiff = np.abs(d - b)\n",
    "mu_diagdiff = diagdiff.mean(axis=1)\n",
    "sigma_diagdiff = diagdiff.std(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0.000000000000000000e+00,   8.438933787964750504e-17,\n",
       "         7.999915146238038525e-17,   7.653205122251329655e-17,\n",
       "         7.188599704589467421e-17,   6.705526543988545722e-17,\n",
       "         6.322833507122142967e-17,   5.982704437942876873e-17,\n",
       "         5.644075746771171140e-17,   5.386518409452818295e-17,\n",
       "         5.041107730936977084e-17,   4.944365887898651984e-17,\n",
       "         4.544775221894637644e-17,   4.466553747645367554e-17,\n",
       "         4.361277712028996972e-17,   4.180828779439865158e-17,\n",
       "         3.951093098939799918e-17,   4.147553287809058684e-17,\n",
       "         3.905733934576966975e-17,   3.918106722729918666e-17,\n",
       "         3.892534252987504270e-17,   4.029364134553616606e-17,\n",
       "         3.904599249433440857e-17,   3.753107415478300771e-17,\n",
       "         3.736685538534885467e-17,   3.725953572815683006e-17,\n",
       "         3.624469853658989962e-17,   3.621265734902999076e-17,\n",
       "         3.570897370041499393e-17,   3.556885688201742348e-17,\n",
       "         3.519177767035752504e-17,   3.553409023615616601e-17,\n",
       "         3.585496360947591700e-17,   3.487283940945878214e-17,\n",
       "         3.457117240070035107e-17,   3.550675910484656581e-17,\n",
       "         3.506494322173493794e-17,   3.480890946807415869e-17,\n",
       "         3.492957555446576856e-17,   3.417620081700375375e-17])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sigma_diagdiff"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Difference plot for all nuclides\n",
    "\n",
    "The red line is the mean difference with $1\\sigma$ error bars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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S+7CfGETgHkTTlYtM40jW91xGOa60SEvZY31CRDo0eRuNBtrtdk8ROVr908uY\nz+eRyWTMyntjY8NM/rW1NQB25/zW1pYxZcn2qW3SxNrtNmq1mhmfbdUifVauyUKE5kKSQAXuB+Nj\ncMFnkqDz4vql7+OEDpkz+f9yLK6xxmkVtu+4WczXhhxXkvY5JMnIz1z9+tpPYqbjiwYf+o2yHBRp\nM430C5d5dJj9ubSR/cJB12jSIhUBaa1/OKqBJAE9/JWVFecxm5ubRmjSca4JQH4fYE8Q+EwYtKqg\nFTUAsxHWFQIu6wr5Iva4ycn1ohHZZrNZa1ucSGiVS8RoO9blq+Co1WpQSqFer8dWjPWNXX4nn4sU\nIElWWDahbzvGRi5pV4lpJn9SG7wPnPCTLB58ffJn7XuGSftL6v8hJNGExilc0/Rte8/HMfZrgYz6\nMloqpR5WSv0V+//+4Q3Jjbm5OeTzeSwvL0fMOSTkiXDIH+PC7u6uMduQBiSxtbUVaVtqQYR6vR4x\nxUlzFNAhjUqlYgih0WhYJy/5s3K5nFWrI/DzXdF99Xrd6rh2EaUN/AXP5XLWbOM2uDQlbkLrl6Rc\nx7u0Gy6cfaUlONJGIUotRhY+lKCxJLXhxy1K0mhowzbLxI0paQDCsJCEiIeJJM9nkLYPGob9/gzi\nNXtedSujaq1fV/tQJZV8IQCwurqKbt8AokJvenq6x9HIbd5bW1sRs5yt2inQMYXNzMwYc5gUNBTt\nls1mkc/njTYF2MO1C4WC0UakkK5UKua8TCYTMcFJwZnL5by2fn7uxMSEGZeNGGwmIv4ZjTeXyznL\nVFDbXOPzkZVSqkcwyXHEOZGBZNFHnIBc7RD4M/OZxtJqZjaCo2N8xEhjinP08z59ZlIZwNEv5D31\nCcr99Kv0q6EOKuhHfY1xpvHDjH4JaFZ38sLxOzPyN61YLEZCjwEYRzt30BcKBeTzeaysrPREaW1u\nbvZMPtKCOMEBewEO+XzeaEB84kk/DYV8S9MJmdYkEdoELY8gs/mBiKiUUrFCREajUZ8EOt9V4pz/\nTcRCQSAupJmMUljGmXZ8AQEu341P+Nva8RFjkvH0+71NmPDQ6jhNMI6IXZGHPgxLwO3HRtmkvsFh\nOc/lu7qfRHsQgyX6Rb8EtNjVePgTnh3CeGJRKpUi/3OBTiY4mmQkrG2CaHZ2Ftddd535nzt7lepE\nwGmtzd4hDikQZmZmeoQ9f0loHLQfx2cezOVyRmuRQoWPg6LSeFucHIlMKbxa+oGkJsf9WhxU8pzf\nZx/xSRLnfdm0ERdxpJ1kcatwX7VZnwlNrjTjxiXNb3HjSmrGjFvx+jJs8P99uQ7p2DjtM4ngtbXj\nI6FhCdVBzIyDmF3ps1FjHH0hb1GSAAAgAElEQVSOEv3mgvshgMcAPKeU+pFS6kcATiQ9Xyn1oFLq\nlFLqEaXUs0qpxOfmcjkopbCyshKZpKurq9jZ2UG73cbc3JzZr7K6utpjb5+ZmUG5XEY2m8X09DQ2\nNjYifWxtbZnPyNS1s7PT4weq1+soFArIZrMolUpWjYOENZnNWq0WarVaDwmRjyjJJMjlchFzEW9L\na200J6VUZJOmDbYJa3upyQRnM/FwHwy1FWcKGnTPBO2/4G25wqi5duMLfOCfpVmx29pwEQItXpJe\nP4VXJ/FpJNG4hmGC843B9n/Sax2mKcxG2Em1pKR90P/DNOfF9Rf3+X5gmH33LQW01t8B8HUAPwbw\n91rr/y/F6S8BeFVr/QKAMwCeT3oif9hELmSGAxAx0dmEyPLysjEjKaXM37aCcFNTUygWi5iYmOiJ\neLGZpGiDKOD2t3BNgh4knQPs7X3h/iLXA5cZFzj58D4mJiZMW77VryxHUa1WewQV9wPJcUntJ2kU\nF4drL4+rTxtcfhxfcIDLBDdIpJNtrK5IvDgSI+JyjYfG7mrLNhb5bJNcn0tDStqnDcMyiSWF7f0a\ndAyjIIS4axqnH2ho5tkBB/GB1vonOn127Nu01uvdv1fTnFgsFo12A+xN6EajgdnZjhWQzHSlUglr\na2tmYm5ublpXY61Wy/iB6EWiPvhGV/69LVMB/eYaCA+tJm0ql8uZVTZ/kKVSyRAUz85A4GlnfKlZ\n5G5338oviU+A2qLfttUz33dEpsY4cI3Etop0rZyl+ZDOj4s+o89tJCDHJT8fJCCBzpemMNk2/57f\nzziTWNwY5P0ks6wPSa4rjbnL5QcahiDztWFbaAwKelf3Wws57OY2G7yZEJRS/4ionyfyNYC7APzW\n8Z0GcEZr/X/kl4x8AOAJAE8mGi3D5uYmFhcXzYp5c3MzkuJmZmYGGxsb5qHxXf5EVIVCAXNzc1hZ\nWUGpVDIvFD+PPiMNgogI6Gg/hULB7MLnQp9eUpr03HeltUaj0YiY7JrNpiEfpZRpi86X/h9CLpfr\n2dnu2uVeq9Ui2hxlWcjn8z1pbwg0Rk68dLyLBLmGyIUrNyVxwvFlDUgCn0Dgn1HUI8/35prUrVbL\nmHvjfDlyHGnLq8tx+8yX8jq5SY/IlQhG3mOuocbllpO+Ht912Ey4rmeYJH3PMHw4LhOcS3sbZp+j\nJqY09/ugw0tAXTPbSND1+zwC4EWt9WnHMY8DeBwAbrnlFgAd8rhy5QqmpqawtbWF66+/Hh9//DGA\njoDVWhtfSj6fR61Ww8rKCpaWlgDsCWdutpudncXGxgauu+46s/+HPldKYXJy0hy7vb2NfD5v/D+k\noZDA5cKAhDql8yFzGAlBSv1TqVRQKpXQaDRQLBYj9yCN05G0L7pGCi4gE1xcWQrevu4GLtC9pOtL\nUtqCBKgMcbeNN044uwSW/JwmoS2/miQhKaRtY0rjq+Ht0Dny2iQRJEFcufg0Zi+XCc5HRC6kEe6E\nOP/boOakuMXHICZCCRs58z6GQQhpFjyHGWMroai1Pqu1fgbAulLqRccxz2mtT2qtTxKBEEjI0X4g\npRRmZmYiGZsJ9DJwcgE62gw3cUn/hdY6NnFjs9lEuVw2Go5SvdkOpNksrk1KrkqE4nKu8yJ8lO/O\nhWw2G4mEizPr+NqSQsvn0Kb72I9W44OceD6tw+bbsfWV1OyUBrzfflPScP8OHRdndpLX70KaYIS4\n58j73c8V+SAmuGGGh49DCzmsmg9h3wlIKXVCKfVd9tGPAZxSCSPh6IYvLCxE/BhkhuPHaa0xNzeH\ntbU1E9VG2YW5KY0mFvmBuI+JT/rJyUkAHWFve/DcdFKr1cwKU/pbuGZBAQjcRCcFPKXAsa1WbQKE\nIvP4+Pm1aq17zDzUtjQpkInRNh6JJGXNJUjToHHFCTCuafA+6W+fo1726evHtTeqX7j8P7bn49Ic\nfVF+vn5tPi/X83Gt6n3HDeoHGuT+JtEAhk2K0rw5Stg0dNt4xoFh9DsODegEgEXx/7rW+mySk7PZ\nbCSbNNDx2ZBfB9jzW7TbbUM89OD4cUBHC+JaE+WS4+D/cy3KRgj8Myr74GrLpSkBHZKSTn9+PBdQ\nfD+QNOHJa+HZGmSf0g80MTERIRq5B0uSEBdqZGYE7H4LCVswQlok6SeJT8P2fdzqn5Oa7bukfqAk\nFWu5QOV9StKS45EmS/n++rSmOFLn38UJet996heDPuu0fbvu1SiJKY2md1iw7wTU9fe8opR6vOvj\n+T6Ah9O2c/nyZRw5cgTnz58HgIj2A3SKwwF72hHV2QF6I9qATp65jz76CAB69gXRS7WzswOl9gq9\n8baAPQEtBbcNZA7b3NxEqVTqISoCf7FIYPBgBQ4ym8m+bTV6fIKa/D+uY2zE6xKcrs+pvSQ+Fimw\n4swmfN+X9P/Q7yTmJB+p2I6XkO1zUo6DzJyeVDOxHet71mn3A/k00zghmNSflhZxC4M0C4040HsR\nZ7YdBiGMwiQ8DAyzz7H4gLTWL3T9O89prR/VWr+W5nx5AzKZTCSrAcfi4iK01qY8w+7ubo/msb6+\nHpkcZIIjwqIyEGSCo+wA0uTXbrcNkdD+IBLWtD+JJkShUPA+SIrao0CHuF3kVHTP9T0AE4zAzYo2\nUDCH7RhZXZTa8pn8kpSPSOMnsj1//ttXdoG+k+Uq5O80kWw+f1SS6+J9x2ka3FzpaoO3leSeyv1f\nNiRpy+Wc92FQYTaICW4UwnuYZr797nMcGFsQQr8oFotG2M3PzwPYM4u1Wq2IOY1s6Uopk6nalr+N\ng5uhpAqvlOoJcZbEQH02Gg1rLZdyuWxerkqlAq11xLRlS3lDVT8luH+J4Fthy6qntmP5mG3f8wCK\nuNUzv49JzFdSAMeF67qK1fkyY/v+l2OSGQgGiaSKq5pJbfu0pDRkJsdr6zdOGxsFkXA/0KBawrDM\nTmmucxgRbv1gmFrcQcKhIyBgzxeysbGBWq0WCRrgpqbp6emI4D5y5EikHdJCMpkMyuVypMyBfKDc\nd7K7u2uqjAK9JilfvjpqO5PJGN+NS5DbSirwtqQfSGZFkH3SZ1QZk0NmOOC+JFsQAoFKkPvgMgFJ\nYRkX3ZW0D9v/8jsfsfD/00ZJ2QQ9EXDctUnBbDMfys9d7XAN1rfxNi6sPs0zGZZwTvsODGKCG+R9\n873XoyKEOLPxYcPQCEgp9XdKqW91f3pjoYeI2dlZaK2xubmJQqGAra0ttNvtnoSadAxpLhcuXDDf\nyazUW1tbEfKSwQqTk5Om7Xw+j6tXr0a+55v8tra2vKHWpLnw/T/0uQRNatpw6gLtS+Lj4chkMoZU\n4hy21Wo1VvDatA/eF283bmNlP3nh4kySvE+bUE0Slp2kryTHEQkkyUAAxGcqcJnfbJ/FPWsguR8o\nTrCm8QMNKxouiVkwjqCSQsqWUWklwyTgUWFYfQ6FgJRStwG4XWv9T1rrfwLwhWG0G9OneVBkduPC\nnDtv+c53SQzcJKZUJ3XO+no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d3cW7776Lu+66KzJRSCAsLy+bPUGFQsEQEA8IoPFRIAIJ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\n+AzIhw8fPnwcF/z/7w0gGKAOW7sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb01f1a2f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.switch_backend('pgf')\n",
    "plt.plot(TIMES[1:], diagdiff[1:, :], color='gray', alpha=0.01)\n",
    "plt.errorbar(TIMES[1:], mu_diagdiff[1:], yerr=sigma_diagdiff[1:], color='red', capsize=2, label='mean')\n",
    "plt.axis([TIMES[1]*0.75, TIMES[-1]*1.25, 0.0, 6e-16])\n",
    "plt.xscale('log')\n",
    "#plt.yscale('log')\n",
    "plt.xlabel('Time [s]')\n",
    "plt.ylabel('Difference, $\\\\left|e^{-\\\\lambda t} - b(t)\\\\right|$')\n",
    "plt.legend(loc=0)\n",
    "plt.tight_layout()\n",
    "plt.savefig('n1-diff.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bateman Comparison"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def bateman_diff_plot(nuc, batemans, crammeds):\n",
    "    try:\n",
    "        bateman = batemans[nuc]\n",
    "        crammed = crammeds[nuc]\n",
    "    except KeyError:\n",
    "        print('Nuclide not in data!')\n",
    "        return\n",
    "    diff = diff_nuclide(bateman, crammed, abs=True)\n",
    "    d = np.zeros((NTIMES, len(diff)), dtype=float)\n",
    "    for i, (n, arr) in enumerate(diff.items()):\n",
    "        if data.fpyield(nuc, n) > 0:\n",
    "            print('skipping', n)\n",
    "            continue\n",
    "        plt.plot(TIMES, arr, label=n)\n",
    "        d[:,i] = arr\n",
    "    mu = d.mean(axis=1)\n",
    "    sigma = d.std(axis=1)\n",
    "    #plt.errorbar(TIMES, mu, yerr=sigma, capsize=5, color='black', label='mean')\n",
    "    plt.xscale('log')\n",
    "    #plt.yscale('log')\n",
    "    #plt.axis([TIMES[1]*0.75, TIMES[-1]*1.25, 1e-18, 1e-6])\n",
    "    plt.xlabel('time [s]')\n",
    "    plt.ylabel('Difference, $\\\\left|e^{-\\\\lambda t} - r_{k,k}\\\\right|$')\n",
    "    plt.legend(loc=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "#bateman_diff_plot('I131', batemans=batemans, crammeds=crammeds)\n",
    "\n",
    "#bateman_diff_plot('Sr90', batemans=batemans, crammeds=crammeds)\n",
    "\n",
    "#bateman_diff_plot('H3', batemans=batemans, crammeds=crammeds)\n",
    "\n",
    "#bateman_diff_plot('U235', batemans=batemans, crammeds=crammeds)\n",
    "\n",
    "#bateman_diff_plot('Se86', batemans=batemans, crammeds=crammeds)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Histogram of errors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lu153 -> Ho149\n",
      "Lu153 -> Er149\n",
      "Ta157 -> Ho149\n",
      "Ta157 -> Er149\n",
      "Ta157 -> Tm149\n",
      "Ir172 -> W168\n",
      "Ir172 -> Ta168\n",
      "Pt172 -> W168\n",
      "Pt172 -> Re168\n",
      "Hg176 -> W168\n",
      "Hg176 -> Re168\n",
      "Tl177 -> W168\n",
      "Tl177 -> Re168\n",
      "Pb180 -> W168\n",
      "Pb180 -> Re168\n",
      "Pt183 -> Re179\n",
      "Au183 -> Re179\n",
      "Hg183 -> Re179\n",
      "Hg183 -> W179\n",
      "Es254 -> Pb206\n",
      "Cf255 -> Pb207\n",
      "No255 -> Pb207\n",
      "Es256 -> Pb208\n",
      "Md256 -> Pb208\n",
      "Md258 -> Bi209\n",
      "Md258 -> Pb206\n",
      "Lr259 -> Pb207\n",
      "Rf259 -> Pb207\n",
      "Lr260 -> Pb208\n",
      "Rf263 -> Pb207\n",
      "Db263 -> Pb207\n",
      "Bh267 -> Pb207\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(40, 32966)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diff_arrs = []\n",
    "for nuc in nucs:\n",
    "    diff = diff_nuclide(batemans[nuc], crammeds[nuc], abs=True, include_missing=False)\n",
    "    diff_arr = np.empty((NTIMES, len(diff)), dtype=float)\n",
    "    for i, (n, d) in enumerate(diff.items()):\n",
    "        diff_arr[:,i] = d\n",
    "        if np.abs(d).max() >= 1e-4:\n",
    "            print(nuc, '->', n)\n",
    "    diff_arrs.append(diff_arr)\n",
    "diff_arrs = np.concatenate(diff_arrs, axis=1)\n",
    "diff_arrs.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gzIwfSDo7/yIBAACUc+wgY3f/pZn9q5n9vaRfa3D/mzOSrkrquvufL6GMY5nZFUlXzp57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\nANkh4AAAgOz8JxgKpRp0BT3/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb01883c6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.switch_backend('pgf')\n",
    "plt.figure(figsize=(9,6))\n",
    "diff_vals = np.array(diff_arrs.flat)\n",
    "diff_vals[diff_vals < 1e-32] = 2e-32  # put very small values in lowest bin\n",
    "plt.hist(diff_vals, bins=np.logspace(-32, 0, 33), log=True)\n",
    "plt.xscale('log')\n",
    "plt.axis([1e-32, 1, 1e0, 1e6])\n",
    "plt.xlabel('Difference, $\\\\left|b(t, i\\\\to j) - r_{16,16}(t, i\\\\to j)\\\\right|$')\n",
    "plt.ylabel('Count')\n",
    "plt.grid()\n",
    "#plt.tight_layout()\n",
    "plt.savefig('diff-hist.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cf255 -> Pb207\n",
      "\n",
      "CRAM\n",
      " [  0.000000000000000000e+00   0.000000000000000000e+00\n",
      "   0.000000000000000000e+00   0.000000000000000000e+00\n",
      "   0.000000000000000000e+00   0.000000000000000000e+00\n",
      "   0.000000000000000000e+00   0.000000000000000000e+00\n",
      "   3.004583109322537932e-75   1.901573144939713906e-67\n",
      "   8.432717180894103755e-61   1.278447750229402520e-54\n",
      "   6.100252125592471640e-49   7.448231824836584918e-44\n",
      "   2.266639913889272887e-39   2.105327708546501611e-35\n",
      "   9.744806983185536680e-32   3.249349899553046306e-28\n",
      "   8.498673205925198696e-25   1.590584745355534388e-21\n",
      "   2.009649896353452238e-18   1.765718531184143617e-15\n",
      "   9.816590489077626649e-13   2.807394559572073110e-10\n",
      "   3.208009302313451451e-08   1.159486261223195409e-06\n",
      "   1.786540712746881516e-05   1.975579101872099229e-04\n",
      "   1.864266280642392628e-03   1.422742523436097868e-02\n",
      "   7.359499917796145929e-02   2.513481354671422419e-01\n",
      "   6.186546277433677687e-01   9.547967670517173433e-01\n",
      "   9.999056985014812549e-01   9.999587782097556499e-01\n",
      "   9.999587782097794086e-01   9.999587782098001698e-01\n",
      "   9.999587782097537625e-01   9.999587782097431043e-01]\n",
      "Bateman\n",
      " [  0.000000000000000000e+00   3.656898539523271030e-16\n",
      "   9.875313863339782293e-16   3.077337069030385977e-15\n",
      "   9.932972569130657624e-15   3.117196018177439918e-14\n",
      "   9.866388807078134612e-14   3.119237809526450381e-13\n",
      "   9.866650212396165700e-13   3.119765316840459279e-12\n",
      "   9.865804112619887651e-12   3.119834307556788562e-11\n",
      "   9.865767817321957116e-11   3.119830186178885263e-10\n",
      "   9.865769224339525338e-10   3.119830024626090351e-09\n",
      "   9.865768717752461795e-09   3.119829966361481674e-08\n",
      "   9.865768271097511062e-08   3.119829529497435071e-07\n",
      "   9.865763895184108595e-07   3.119825148543693859e-06\n",
      "   9.865720093013512063e-06   3.119781347317362796e-05\n",
      "   9.865282090571356687e-05   3.119343379102616602e-04\n",
      "   9.860903491502128783e-04   3.114968202768394600e-03\n",
      "   9.817259722736056821e-03   3.071663537084032974e-02\n",
      "   9.394700405703754198e-02   2.680043951740114783e-01\n",
      "   6.271384871865388622e-01   9.558016030976103083e-01\n",
      "   9.999068795030031653e-01   9.999587782097538735e-01\n",
      "   9.999587782097822952e-01   9.999587782097821842e-01\n",
      "   9.999587782097822952e-01   9.999587782097819622e-01]\n",
      "Diff\n",
      " [  0.000000000000000000e+00   3.656898539523271030e-16\n",
      "   9.875313863339782293e-16   3.077337069030385977e-15\n",
      "   9.932972569130657624e-15   3.117196018177439918e-14\n",
      "   9.866388807078134612e-14   3.119237809526450381e-13\n",
      "   9.866650212396165700e-13   3.119765316840459279e-12\n",
      "   9.865804112619887651e-12   3.119834307556788562e-11\n",
      "   9.865767817321957116e-11   3.119830186178885263e-10\n",
      "   9.865769224339525338e-10   3.119830024626090351e-09\n",
      "   9.865768717752461795e-09   3.119829966361481674e-08\n",
      "   9.865768271097511062e-08   3.119829529497419189e-07\n",
      "   9.865763895164012739e-07   3.119825146777975330e-06\n",
      "   9.865719111354462768e-06   3.119753273371767401e-05\n",
      "   9.862074081269043549e-05   3.107748516490384445e-04\n",
      "   9.682249420227440496e-04   2.917410292581184596e-03\n",
      "   7.952993442093663976e-03   1.648921013647935280e-02\n",
      "   2.035200487907608269e-02   1.665625970686923640e-02\n",
      "   8.483859443171093417e-03   1.004836045892965046e-03\n",
      "   1.181001521910474139e-06  -1.776356839400250465e-15\n",
      "   2.886579864025407005e-15  -1.798561299892753595e-14\n",
      "   2.853273173286652309e-14   3.885780586188047891e-14]\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb0163819b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ee0dm5kdTVRXd3d1QVRV2u91Yqqz3avx+P55//nkA0eGztrY2OJ1OdHV1we12w+l0QlVV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xYyYeRaeoNmd3e3PbNRcz4URbHu3r27MnNakSQpNdu2hR5vIThnAwA5dv78easQQhhRCz3bNjMx\n2QCAwVRVLWxvb/+6EEIEg8FVJSUlKSGEGB4eLjpx4oRjz549N4SYPrfy/e9/f7Usy7ZYLLbs2Wef\njXd0dDiPHTs2ok8pPT09NiGmvzvT0NAQ93q9CUmSUtXV1ZP6xQXDw8NFx44dGxFieoJ52DYzUQsN\nIK9QC20+aqEBAHmBsAEAGI6wAQAYjrABABiOsAEAGI6wAQAYjrABABiOsAEAGI6wAQAYjrABgEdY\nOBx2BIPBVbnooFlK3BsNAEwUDAZXCSFESUlJqrS0NOVwOJIXLlywpnfOpPP7/bGKioonfT5fLHO7\n2+2u6evr+zj9sUAgUP7GG284bTZb6sknn7z71ltvjehtoIqiWM+ePWsdHx+3fPTRR8tfffXV6/Np\nCl0MwgYATKBpmmXDhg3rurq6rnk8ngn9cVVVC59//vnalpaWh97vzW63PxAysizbhoaGivr7++2Z\nz62qqpqcmpr6aKbjnz171qr36ciybGtoaKgdHR29vLhPlh2W0QDABH/7t3+79sUXX7yVHjRCCOFy\nue7t2LFjXjcW9Xq9CT00sjUwMFB04MABp/67x+OZuH79epFZy3NMNgDy3u2fD1Z8ceOuqbXQX3Mu\nn1jx3dqsS9v6+/vtb7311oy39g8Gg5+nL5HpVQJPP/30RCwWWxaPx7MOhPHxcUs4HHY4HI5kb2+v\nva2t7YYkSSmPxzPR29s7mH4Mm82WMqtEjbABAIMpimIVQoiVK1fO+Ic9/byJpmmWzGbNl156qTzb\nY6Wf+5EkKbVp06ZafV/pxzly5EjZgQMHTOu1IWwA5L35TBi5oC+dKYpi9Xq9Cf1xWZZtFy5csH70\n0UfLN27ceLe9vX3s7bffdtTX1z+w1JZ5zmY26ZOKx+OZUFXVqmmaJf3xUCgkbd++PbaYKur54pwN\nAJjgmWeeiff29j5wQt/r9SZaWlq0np4eR/oFArFYbEHnURRFsT7xxBPrMh9PDxpZlm3V1dWTZgaN\nEIQNAJjivffeu3bixAmHLMu29McHBgaK0n/ftWtX7NNPP33gsWzP2dTV1U36/f5b+u+yLNsaGxvv\nh4qiKFZJklL6dBUOhx0L+SwLwTIaAJhAkqTU6Ojo5UAgUN7b22svLS1NlpSUpKqrqyd//OMfj6Q/\nr6Oj43owGFylXyAghBA/+MEPVh87dmxEkqSUfgGBENPfq2loaIh7vd6EJEmp6urqyVAoJAkhxPDw\ncNGxY8dGhJi+xLqpqak2kUjcD67Vq1ebNuEUTE1NmXEcAFgSkUjkk/r6+nld9ovFiUQiUn19/ZrF\n7INlNACA4QgbAIDhCBsAgOEIGwCA4QgbAIDhCBsAgOEIGwCA4QgbAIDhCBsAeIR9VWqhCRsAMFEw\nGFwVDAZXhUIhKRwOO2RZts0WJn6/P/bOO++U3bx580vb3W53TeZjgUCgvKCgYKPdbl/vdrtrVFUt\nzGab0bg3GgCYINe10HNtMxqTDQCYINe10LnGZAMAJsh1LfRc24xG2ADIe/8/e/cf08aZoA/8pc4X\n94bOwJQhsAcuOQyIOFmRNFG6Nd6LlNOKBJWVW12Q4qq78R+ryHvKBmmhJx2TaFXIaa91pZBoG2gr\nTdrsEik5bUelSkCrdLXpJCE9aIo2mSACXFPIbUjGsbE31pnD4vuH92UHlx8mYca4+3yk1caeH7b7\nB4/ed2beR5Zl2/379xkzP3P9+vVRt9udUkPoWqmFXmqb0TCNBgBgMH0ttP59enPAnj17ykRRLCSE\nEKNqoZfbZjSMbAAg46U6wkgnWgtNWzIJSVx7cblc0YKCghJackbIk9VCJ4+KCEmEzFLbHuezVgoj\nGwAAE6S7Fnq5ymijYWQDAGCCdNdCL7XNDKiFBoCMglpo86EWGgAAMgLCBgAADIewAQAAwyFsAADA\ncAgbAAAwHMIGAAAMh7ABAADDIWwAAMBwCBsAADAcwgYAYA2TJIlfqjY6U2BtNAAAE9Eqgby8vHh+\nfn6c5/mZ/v5+Rt81o+f1eoM2m22zx+MJJm93Op0VV65cua1/z+fzFXd0dBSxLBvfvHnzo/fff/+O\nvi9HkiQ++fyr+wsXhrABADCBpmmWrVu3bjxz5syYvhpaVdXsl19+ubKxsXHR9d6S+2xkWWZHRkas\nV69e5ZL3tdvtsdnZ2YGFziOKYqHdbp/2er1BTdMsO3furETYAAB8i/zwhz8s+/GPf/xAHzSEJFo6\n9+3bt6KFRf/SiRNpbm4uTfUYTdMsx48f/044HP6SkMQq0Ga1dBKCsAGAbwH11r/aHv152NRa6Jxn\nKqOOjf+Rcmnb1atXuffff3/BJf1FUfyTfoqMVgjQioFU+2wIISQUClkkSeJ5np/p7e3lWltb79Fa\nApvNFqPb+vv7GY/HE9RPsRkJYQMAYDBaB71+/foFWzH1f/A1TbMkN2oeOXKkONXP0l/7EQQhvnPn\nzsqbN2/eGhkZsaqqytTX14cFQYi7XK7o1q1bN46Pj994/F+WOoQNAGS8lYww0oFOnSmKwuhroWVZ\nZvv7+5mBgYGcbdu2PWpra5s8deoUX11dPW+qLfmazVL0IySXyxVVVZXRNM1SXl4eKykpiemDaGJi\nwqqqarYZoxvc+gwAYIIXX3wx3NvbO++CvtvtjjQ2Nmo9PT28/gaBYDD4WLc5K4rCbNq0aWPy+4Ig\nxCsrK2PJ77Msm3KIPSmEDQCACT7++OOxTz75hJdlmdW/PzQ0ZNW/3r9/f/Drr7+e916q12yqqqpi\nXq/3AX0tyzK7e/fuICGJqTqO4+L0eR1N0yw2my2GazYAAN8igiDEx8fHb/h8vuLe3l4uPz9/Ji8v\nL15eXh5766237uj3O3r06IQoioX0BgFCCPn5z39ecvr06Tv0Yn9PTw9LSOK5mtra2rDb7Y4IghAv\nLy+P+f1+gRBCRkdHradPn54797lz50YPHz5cZLfbY6Ojo9Zz586NmvX7s2ZnZ836LACAJzY4OPhV\ndXX1im4VhiczODgoVFdXb3iSc2AaDQAADIewAQAAwyFsAADAcAgbAAAwHMIGAAAMh7ABAADDIWwA\nAMBwCBsAADAcwgYAYA37ttRCI2wAAEwkimKhKIqFfr9fkCSJl2WZXSpMvF5v8IMPPii4f//+N7Y7\nnc6K5Pd8Pl9xVlbWNo7jtjidzgpVVbPpNo7jtmRlZW3T/4/WVBsNa6MBAJgg3bXQmqZZPvzww1F9\nxYEoioVtbW2Tj/+rUoeRDQCACVa7FrqpqWnF68Ppg0aSJN7j8QRXeo7HhZENAIAJ0l0LrT+/pmmW\nQCBgMategBCEDQB8CzTe+to29Oh/GTM/syrn6eixjc+l1BC6Fmqh9fscPny4qLW19V6q51wNmEYD\nADCYvhZa/z69OWDPnj1l9EK9UbXQ+n0uXbrE6fczA0Y2AJDxUh1hpBOthdZfN3G73RGXyxUtKCgo\n0ZecPUktdPKoiJD5ASTLMpubmzvzOOd/EhjZAACYIN210FR/fz+Tm5tr6qiGEIxsAABMsRZqoakN\nGzbEzPrdFGqhASCjoBbafKiFBgCAjICwAQAAwyFsAADAcAgbAAAwHMIGAAAMh7ABAADDIWwAAMBw\nCBsAADAcwgYAAAyHsAEAWMMkSeKXqo3OFFgbDQDARLRKIC8vL56fnx/neX6mv7+f0ffQ6Hm93qDN\nZtvs8XiCydudTmfFlStXbuvf8/l8xR0dHUUsy8Y3b9786P33379D+3IURWH6+voYQhIlax6PJ2hW\ngRrCBgDABJqmWbZu3brxzJkzY/pqaFVVs19++eXKxsbGRdd7S+6zkWWZHRkZsV69epVL3tdut8dm\nZ2cHFjpPT08P29bWNklfezye0q6urgXbQ1cbptEAAEzwwx/+sOzHP/7xA33QEJJo6dy3b9+KFhZ1\nu92RpqamFS9G+sEHHxSkazoOIxsAyHjN/zloG74XMbUWurKIjb71z9Upl7ZdvXqVe//99xccRYii\n+Cf9FBmtEKAVA6n22RCSmB6TJInneX6mt7eXa21tvUfPfejQoXtlZWXfPXLkyAQhhBw/fnwi1fM+\nKYQNAIDBaB30+vXrFywt01830TTNkty2eeTIkeJUP0t/7UcQhPjOnTsr6bmampq0v4RRASGE1NXV\nhc2qh0bYAEDGW8kIIx3o1JmiKIy+FlqWZba/v58ZGBjI2bZt26O2trbJU6dO8dXV1fOm2pKv2SxF\nHx4ulyuqqiqjaZpFEIS4KIqFbW1tk21tbZN+v1+ora2tHB8fv7Eav3E5uGYDAGCCF198Mdzb2zvv\ngr7b7Y40NjZqPT09vP4GgWAw+FjXVRRFYTZt2rQx+X1BEOKyLLPbt2+fC7GmpibtpZdeCtJRl9EQ\nNgAAJvj444/HPvnkE16WZVb//tDQkFX/ev/+/cGvv/563nupXrOpqqqKeb3eB/S1LMvs7t27g4Qk\nAqe/v/8bwZJ8w4JRMI0GAGACQRDi4+PjN3w+X3Fvby+Xn58/k5eXFy8vL4+99dZbd/T7HT16dEIU\nxUJ6gwAhhPz85z8vOX369B1BEOL0BgJCEs/V1NbWht1ud0QQhHh5eXnM7/cLhBAyOjpqPX369B1C\nEqFy+/ZtK90WCoUsr776atCs3581Oztr1mcBADyxwcHBr6qrq1d82y88vsHBQaG6unrDk5wD02gA\nAGA4hA0AABgOYQMAAIZD2AAAgOEQNgAAYDiEDQAAGA5hAwAAhkPYAACA4RA2AABgOIQNAAAYDmuj\nAQAYTFXV7BMnThR0dHQUtbS0TOTl5cVDoZAlEAis27FjR9Tr9a5ojTKn01lx5cqV28nvS5LE618n\nn3ex48yAtdEAIKNk6tpomqZZCgoKtszOzg7o3/f5fMX5+fkzbW1tk8udQ5ZldmRkxNrc3FyafB5R\nFAvtdvu01+sNappm0ZemLXVcKlZjbTSEDQBklG9b2BBCCMdxW/r6+lR9Y+dSsrKytunPo2mapays\n7LvhcPjLlRyXqtUIG0yjAUDmk//FRu6rppSAzVnviBL3r1alIbSmpibc1dXF2+326UOHDpXW1NSE\nL1y4MKZpmmXr1q0bX3rppeDJkyfvLna8oiiMzWaLSZLE8zw/09/fz3g8nmCq4WUGhA0AQJrxPB8f\nGBjIaWtrmwwEApbR0VErIYlumzfeeOPuctd0RkZGrKqqMvX19WFBEOIulyu6devWjWZVPqcCYQMA\nmW+VRhjpEgwGLdu2bXtESKKu2WazbT558uRdVVWzKyoqYssdX15eHispKYkJghAnJBFSExMTVlVV\ns9fK6Aa3PgMApNnly5e53bt3R+jr73//+xFJkvhr167lpFLbXFlZ+Y1AYlk2vtrf80kgbAAA0kgU\nxcJXX331gT5UfvrTnz7w+/1FPM/PpHIOh8MxzXFcXNM0CyGJGwZsNltsrYxqCME0GgCA4ehzNoQk\nwkX/nI3dbo8l3/ZMg8ftdkf07yuKwvT09LCEJG6Zrq2tDdN9zp07N3r48OEiu90eGx0dtZ47d240\nlePMglufASCjZOqtzyslSRK/0oc9jbIatz5jGg0AYI2QJInXNM2iqmr2Cy+88Cjd32c1IWwAANaI\nQCBg6e7u5h4+fLhuLV1vWQ24ZgMAsEY0NTV9a6cHMbIBAADDIWwAAMBwCBsAADAcwgYAAAyHsAEA\nAMMhbAAAwHC49RkAwGDproVWFIXp6+tjQqGQZWBgIOftt9+eMPs5HixXAwAZJVOXq0lXLbSmaZZT\np07x9BkeWZbZgwcPlq6k6wa10ADwN+fbFjaEGFsLrSgKs2/fvjIaLvR7PHjw4Evaf7McrI0GAPAt\nQGuhJUniOY7bsmfPnjJC5qoCNvt8vuKljtfXQsuyzIqiWKiqajYhiRWke3t7h/X7siwbTzVoVguu\n2QBAxjt8+bBtJDjCmPmZ5Xx5tLWmdVUaQo2uhdaPmDo7Owva29vvrMb3XgmMbAAA0iy5FvqTTz7h\nCUncWPCktdD6/fx+v9DQ0BBMR3UBRjYAkPFWa4SRLpcvX+ZaWlru0de0FpqQv95RtpRUaqFlWWbL\ny8tjZpemURjZAACkkRm10IqiMIIgxGnQJN8ibQaMbAAADJbOWmhVVbPr6uoqI5GIhZ6npKQkZvZU\nGtsTCN8AACAASURBVG59BoCMkqm3Pq8UaqEBAMAQqIUGAADDoRYaAAAMh1poAACAJ4CwAQAAwyFs\nAADAcAgbAAAwHMIGAAAMh7ABAADDIWwAAMBweM4GAMBgdG20jo6OopaWlgn92mg7duyIrnRZGqfT\nWXHlypXbye8nL7C50Hk9Hk9pV1eX6X02WBsNADJKpq6NtlgttM/nK87Pz59JXoxzIbIssyMjI9bm\n5ubS5POIolhot9unvV5vUNM0y86dOytv3rx5K/n4l19+uXKhauqlrMbaaAgbAMgo37awIYQQjuO2\n9PX1qakuUZOVlbVNfx5N0yxlZWXfDYfDXy71+UNDQ9a6urrKpfZbyGqEDabRACDj/c+/tdhit2+b\nWgttraiI/v2/H12V0raamppwV1cXb7fbpw8dOlRaU1MTvnDhwpimaZatW7dufOmll4InT568u9jx\niqIwNpstJkkSz/P8TH9/P+PxeIL68Oru7ubSuYo0wgYAIM14no8PDAzktLW1TQYCAcvo6KiVkES9\n8xtvvHF3uZAYGRmxqqrK1NfXhwVBiLtcrujWrVs3jo+P3yAkMX1WX18fNuO3LAZhAwAZb7VGGOkS\nDAYt27Zte0RIYjFOm822+eTJk3dVVc2uqKj4RuVzsvLy8lhJSUlMEIQ4IYmQmpiYsKqqmr1+/fq4\nIAhxui1dEDYAAGl2+fJlrqWl5R59/f3vfz9C7yxLZeqrsrLyG4HEsmyckMT0WSAQsPT19TGEEBKJ\nRCx+v1+oq6sLm1ljgLABAEgjURQLX3311Qe0CpoQQn76058+OHDgQOnRo0cnUjmHw+GY5jgurmma\nRRCEuKZpFpvNFnM4HNPJgdLc3FyajioDhA0AgMHoczaEJMJF/5yN3W6PJd/2TIPH7XZH9O8risL0\n9PSwhCRuma6trQ3Tfc6dOzd6+PDhIrvdHhsdHbWeO3duVH+spmmWY8eOCfQ7JN9AYDTc+gwAGSVT\nb31eKUmS+HTePaa3Grc+Y7kaAIA1QpIkXtM0i6qq2S+88MKjdH+f1YSwAQBYIwKBgKW7u5t7+PDh\nOjOnuMyAazYAAGtEOi7cmwUjGwAAMBzCBgAADIewAQAAwyFsAADAcAgbAAAwHMIGAAAMh1ufAQAM\npqpqdltb23fOnDkj0FpoQggZHR21/uY3vyk4f/78sH5ttIWstAqa47gtkUjEot/W0tIykUojqBGw\nXA0AZJRMXa5msaZOVVWzr127lrPY0jSPUwWtaZpFURRGv7aaKIqFjxs0WK4GACBDaZpmISSxYvNS\n+7nd7shCD3tqmmY5fvz4d2hICYIQv3nz5i39cfTfkiTxHo8nreusIWwAANKgu7ubo4Hj9XqDsiyz\nNptts9/vFyRJ4vfs2VO21PH6KmhZlllRFAtVVc0mJBE8dD9N0yyBQMCS7uVvcM0GADLexQ9v2R7e\n/TNj5mc+W/xM9J9+tHHFDaF+v18IhUKW48ePf6e+vv6P9H232x05e/Zs5Isvvsjp6uq6s1xD53JV\n0NThw4eLWltb7y12HrMgbAAATESnxOx2+9xIg5ae5ebmztjt9hghf+20WcxSVdD6UcylS5c4QRDu\nGvNrUoewAYCM9zgjjHTT3xDQ3d3N0df5+fnxxY/6q6WqoClZltnc3NyZJ/2uqwHXbAAA0uzzzz9f\n8RSgvgqakMToiFZB0336+/uZ3NzclMLLaBjZAAAYjD5nQ8hfa6EJSTxn88knn/CHDh26pygKc+nS\nJe6rr76yVlRUxOg02pNUQRNCyIYNG5a89mMWPGcDABklU5+zyWR4zgYAADICwgYAAAyHsAEAAMMh\nbAAAwHAIGwAAMBzCBgAADIewAQAAwyFsAADAcAgbAIA1QlEURhTFQkVRTF3B2gwIGwAAg0mSxG/a\ntGmjKIqFfr9fsNlsm51OZ4Xf7xdEUSy02WybVVXNdrlc0bGxsaf7+vrmwkZRFIbut2fPnjLaWUNI\nYhkcURQLaZ8NXSeNkEQtdFZW1jb9/0RRLDT7t1NYGw0AwGCBQMDyhz/8YZjWAVy8eJHbsGFDjNYN\n7N69O/Lw4cN1hJDpsrKy/6XHaZpm6evrY+h+siyztbW1lbSzZu/evXbazulyuaKvvfZa6YULF8Y0\nTbN8+OGHo6tVC70aMLIBADBYfn5+XN+emczlckX1oxJqaGjI2t7eXqTfb2JiwqppmkVRFEZfHyAI\nQvzy5cscfY1aaACAvzH67prF6MOBcrlc0d7e3mH6WlEUhmXZuCAI8du3b1uT6wNyc3NnFEVhUAsN\nAGCA3pPHbNr4HVMvqgu20mitr9Hw0jZ9SHR2dha0t7ffISQxNZfK8WulFhojGwCADOD3+4WGhoag\nvtFzampqXuBMTU19YwDxl1rotBeoYWQDABnPjBFGOsmyzJaXl8f0U20VFRWxhcKFlq7R41ALDQAA\ny6LXYGjQSJLEEzI/VAhJ3AZdU1MT1r+HWmgAgL9BtOL5xo0bzNdff231+/2xurq6ML0uoygK89FH\nHz2bm5s7U1dXFyaEkLq6uspIJDI3XVZSUhKjU2mdnZ13RFEs3L59e7S/v585ffr0neTPRC00AMBj\nQC20+VALDQAAGQFhAwAAhkPYAACA4RA2AABgOIQNAAAYDmEDAACGQ9gAAIDhEDYAAGA4hA0AABgO\nYQMAsAbQamd97fO3CdZGAwAwmKqq2SdOnCjo6OgoamlpmcjLy4uHQiHL2NjY0w0NDQ/dbnfE7XZH\nOjs7C+x2+/RiRWeKojB9fX1MKBSyDAwM5Lz99tsTdF9VVbO7urp4uk5aY2OjRqsFOI7bol9fjRBC\nWlpaJsysiUbYAAAYzOFwTLe2tt7r6OgoSv4Dz3HclvPnzw+7XK7oUotmappm6evrY5qamjRCEiOh\n2trayvHx8RuEELJ37177zZs3bxGSWBH6tddeK71w4cKYpmmWDz/8cFRfTyCKYqGZQUMIptEAANLK\nZrPFenp62OX2Gxoasra3txfR1y6XKzoxMWHVNM2iKAqj760RBCF++fJljr7WB40kSbzH41m2pnq1\nYWQDAJAmqqpmh8NhS2Nj49wq1p9//jnD8/wMIYk+Gjod5nK5or29vcN0P0VRGJZl44IgxG/fvm1N\n7q3Jzc2dURSF0ffeaJpmCQQClsWm6YyEsAGAjPfwP4dt/3fvEWPmZ/6/opzos/9cueKGUFp+FggE\nLIQQcv369Vv62ma73T6vkZNOhxGSmI6j73d2dha0t7ff0Z9rOYcPHy5qbW29t9LvvBoQNgAAJqLF\nZ4vJz8+fCx632x15+eWXK5P38fv9QkNDQ5CeKz8/Pz41NTUvcBaqjL506RInCMLdx//2jw9hAwAZ\n73FGGJlKlmW2vLx83uinoqIitlC46KfQZFlm9dd1zIYbBAAA1pDR0dG552xkWWb37ds3dz1HURRG\nEIQ4DRo6JacPFUIS14JqamrC+vf6+/uZ5Os6ZsLIBgDAYPQ5G0II8fl8xQcPHnyw0EX6/Pz8me3b\nt0dlWWaDweC60dHR7K6urjv0HHV1dZX652VKSkpidCqts7PzjiiKhfQ5m9OnT99JPv9St1YbLWt2\ndjZdnw0AsGKDg4NfVVdXa8vvCatlcHBQqK6u3vAk58A0GgAAGA5hAwAAhkPYAACA4RA2AABgOIQN\nAAAYDmEDAACGQ9gAAIDhEDYAAGA4hA0AwBrwba+FRtgAABhMVdVsn89XnJWVtU0UxUK/3y+Ioljo\n8XhKZVlmCUms8DwwMJBz7dq1nMXOoygKQ4/ds2dP2ULB5HQ6KxY7fqltRsPaaAAABjOjFlqWZXZk\nZMR69epVLvnYpbaZBSMbAIA0Wo1aaEISIyMaRMmW2mYWjGwAANJktWqh0/HdVwphAwAZT5Zl2/37\n902thV6/fn3U7XaviVroTICwAQAwkRG10JkAYQMAGe9xRhiZaqFa6EyAGwQAANaQx6mFzgQY2QAA\nGMyMWmhFURh6V5vP5yuura0N01BaaptZUAsNABkFtdDmQy00AABkBIQNAAAYDmEDAACGQ9gAAIDh\nEDYAAGA4hA0AABgOYQMAAIZD2AAAgOEQNgAAYDiEDQAAGA5rowEAGIyujdbR0VHU0tIykZeXFyeE\nkC+++CLnBz/4QVhfFbBp06aNR48endCva9bX18eEQiHLwMBAzttvvz1B11VTVTW7q6uL3759e1Rf\ntEaP6+npYe12+/Tnn3/OtLa23ktn0RrWRgOAjJKpa6NpmmYpKCjYMjs7O6B/Pysra9tHH300TMNF\nVdVsGiaapllOnTrF00pnWZbZgwcPlo6Pj98gJBFMN2/evEX3pUVrmqZZtm7dupHup6pqdltb23fo\nop4rhbXRAAAynMPhiPb39zO613OrQQ8NDVnb29uL6GuXyxWdmJiwappmURSFyc3NnaHbBEGIX758\nmSOEkO7ubs5ms8X05zxz5oxg/K9ZHMIGACBNFEVhwuGwpbGxUaOvN23atNHv9wuEJMKlt7d3WL8/\ny7JxQRDit2/ftubm5s6bFsvNzZ1RFIXheX5mamrqG5dJVFXNTn7PLLhmAwAZT731r7ZHfx5mlt9z\n9eQ8Uxl1bPyPFTeEyrLMEkJIMBhcd/bsWf7MmTNj9FqKy+WK/uM//mNYv79+pNPZ2VnQ3t5+hxBC\nAoGAhSzC7XZHWlpaiKZpFkEQ4vQzHz58uI4Q8o0eHTMgbAAATKQvLfN6vUGn01nxk5/8RKM3CeTn\n588sdJzf7xcaGhqCuv3iU1NT8wJHP5q5efPmLUmS+IqKilhlZWWMEEKqqqpiJE0QNgCQ8R5nhLFW\nvPLKK8EjR44U6+9ISybLMlteXh7TB1VFRUVsoakyl8sVpf+m51RVNbukpCSWzrvRcM0GACCNLl68\nyG3evDm62HZFURhBEOI0aCRJ4gmZHyqEJAKlpqZmbgqO47gt9N8nTpwoeOONN+6u/rdPHUY2AAAG\no8/ZEEKIKIqF+udseJ6P01uSFUVhPvroo2dzc3Nn6urqwoQQUldXVxmJROamy0pKSmJ0xNLZ2XlH\nFMVC+pzN6dOn525tPnLkyIQkSXwgELDs2LEjutTIyQx4zgYAMkqmPmeTyfCcDQAAZASEDQAAGA5h\nAwAAhkPYAACA4RA2AABgOIQNAAAYDmEDAACGQ9gAAIDhEDYAAGA4LFcDAGCwhWqhQ6GQZWxs7OmG\nhoaH+gU2F7NUPTTldDorrly5cnuh45faZgaEDQCAwRwOx3Rra+u9jo6Oora2tkn9No7jtpw/f344\neWFNPU3TLH19fYy+Hrq2traS1j7LssyOjIxYr169yiUfu9Q2M2EaDQAgjWw2W6ynp4ddap+l6qEJ\nSXTk0CBKttQ2M2FkAwCQJqqqZifXQvf19THl5eWxkZERa11dXdjhcEwvVQ+dvm+/MggbAMh4jbe+\ntg09+l9Ta6Grcp6OHtv43IpL22gfDa11vn79+i1BEOKqqma//vrrxbrrKpFNmzZtvHnz5i1CFq+H\nzhQIGwAAEy3WK9PV1cVXV1fPu27z3HPPxWRZZvU3ECTXQ2cKhA0AZLzHGWFkgqmpKUswGJz7O71Q\nPXSmwA0CAABrgMfjCQ4ODs6bCpyamlpXX18fJmTxeuhMgZENAIDB9LXQPp+v+ODBgw+Sn5FxOBzT\nr7/++j1RFAvtdvv06Oho9rlz50bp9Zyl6qEVRWHoHW0+n6+4trY2TENpqW1mQi00AGQU1EKbD7XQ\nAACQERA2AABgOIQNAAAYDmEDAACGQ9gAAIDhEDYAAGA4hA0AABgOYQMAAIZD2AAAgOEQNgAAYDiE\nDQAAGA4LcQIAGIwuxNnR0VHU0tIykZeXFyeEkC+++CJHFMU/JS/KuRja5BkKhSwDAwM5b7/99gQ9\ndqltHMdt0S/iSQghLS0tE21tbZOr/VsXg7ABADCYw+GYbm1tvdfR0VGk/wOvKEp006ZN333w4MGX\ny1U8a5pm6evrY5qamjRCEt02tbW1lePj4zeW2/bhhx+O6ld6FkWx0MygIQTTaAAAaeNyuaKEJEYl\ny+07NDRkbW9vL9IfOzExYdU0zbLUNkII0QeNJEm8x+MxveUTIxsAyHjN/zloG74XWfYP9mqqLGKj\nb/1z9RM1hEqSxO/bt0/Th4EsyywhhIyMjFhDoZCFjkBcLle0t7d3mO6nKArDsmxcEIT4Utv0n6dp\nmiUQCFhSnbZbTRjZAACYSJZlVpZl1uPxlI6OjmZ3dXXd0W8/ePBgqcvlijY1NWljY2NP0/AhJDEd\nR//d2dlZ0N7efieVbdThw4eL9u/fb/qohhCMbADgW+BJRxhmoqMYt9sdcTqdFaIoEv31k+vXr9/q\n7u7mCCEkGAxaRkZGrISQec2afr9faGhoCNKmzlS3Xbp0iRME4e6q/6gUIGwAANJk165d4U8//ZQj\nhEwSkpjm2rlzZ+W5c+dGHQ7H9Oeff/6NqUFZltny8vLYQtXOy23Lzc2dMeSHpADTaAAAaZKXlxe/\nceNGDiGJoOnu7uZyc3Nn6JTY1NTUOkL+eh1HURRGEIQ4DRNJknh6rqW2EUJIf38/k5ubu+Qdb0bC\nyAYAwGCaplmOHTsmEJKY5tq/f39QEIR4U1OT9tvf/pb3+/1Cfn5+vL6+Pnz27FlekiSe5/mZhoaG\nh2fPnn22vLw8pqpqdl1dXaX+eZmSkpKY1+sNLrVN/z02bNgQM+9Xz5c1Ozubrs8GAFixwcHBr6qr\nq7V0f4+/JYODg0J1dfWGJzkHptEAAMBwCBsAADAcwgYAAAyHsAEAAMMhbAAAwHAIGwAAMBzCBgAA\nDIewAQBYIxRFYURRLEylciDTYAUBAACDSZLE+/3+opdffvlhXl5evL29vchms8VeeeWVYCgUsnzw\nwQcFvb29wy6XK/rOO+8U9PX1xWnXTbLl2jo1TbMEg8F1v/vd77iFWkCdTmfFlStXbpvxu/UQNgAA\nBgsEApY//OEPw7Rf5uLFi9yGDRtitFlz9+7dkYcPH64jhEwvtVjmUo2chBBSV1dXOTY29kdBEOKB\nQMCyd+9e+82bN2/RfUdGRqxXr17lDP/BC8A0GgCAwfLz879RZKbncrmitFVzKcs1ctKgoZ+pP9bt\ndkdoSKUDRjYAAAZbqFsmmb4WIBQKWWRZZul0GC1YW66RUx9o7733nnD06NGJ1f0ljw9hAwCZT/4X\nG7mvmntRfb0jSty/MqS0bWxs7GlaqOb3+4tUVc2m116Wa+RUVTW7q6uL37VrV3ihXpt0wTQaAMAa\n8/zzzz+i/87NzZ35y/WceRZr5HQ4HNNtbW2TeXl5cafTWWHG900FRjYAkPkMGmGsVQs1ctIRDR0R\n7d+/P9jc3FyqHxWlE0Y2AAAZZLFGzuHhYWsgEJgbQAwNDVlZlo2vhaAhBCMbAADTKIrC9PT0sDdu\n3GC+/vprq9/vj9XV1YX1z8lcunSJGxwcnKmrqwsPDw9bb9y4kfPOO+8UVFVVTdy/f9+yWCOn2+2O\nBIPBdX6/XyAkcXv1+fPnh5M/mxBCfD5fcW1tranXdNDUCQAZBU2d5kNTJwAAZASEDQAAGA5hAwAA\nhkPYAACA4RA2AABgOIQNAAAYDmEDAACGQ9gAAIDhEDYAAGA4hA0AABgOYQMAYDBVVbN9Pl9xVlbW\nNrpwJn3f4/GUbtq0aaMsy2wq51IUhfH7/YIoioV79uwpU1U1W79NlmVWkiTe4/GUJm8TRbFQkiTe\n5/MVp9IMupqwECcAgMEcDsd0a2vrPbvdHjt06FDpCy+88MjhcEw7HI7prq6uO5Ik8aksiqlpmqWv\nr4+h9c6yLLO1tbWV4+PjNwghpK6urpJWQwcCAcvevXvtN2/evKVpmmXfvn1ldL8XXnjh0c9+9rMS\n2gBqBoxsAABM8r3vfS/6s5/97E979+61P87xQ0ND1vb29iL62uVyRScmJqx0lEKDhhBC8vPz5yqi\nu7u7OZvNFqOvHQ7H9JkzZ4TH/yUrh7ABADARLTcTRbEweZssy6zNZtvs8/mKJUnik6e8XC5XtLe3\nd15tAMuycRow9P8JIeS9994Tjh49OkEIITzPz0xNTX1jJks/zWY0TKMBQMY7fPmwbSQ4wpj5meV8\nebS1pvWxGkLPnTs3+r3vfc/h8XiC+nIzt9sd6e3tDdrt9pi+7vm1114rvXDhwhghiVEJfb+zs7Og\nvb193lQYbezctWvXXF+N2+2OtLS0EE3TLIIgxOn1ob/UTZtSroaRDQCAyRwOx/SRI0cmamtrKxfa\nrp8C83q9wZ6eHj55H7/fLzQ0NAT1oUTP3dbWNpmXlxd3Op0V9P2bN2/e6u7u5hRFYSorK2OEEFJV\nVRVLPq9RMLIBgIz3uCOMdGpqatJ++9vf8j6fr3jHjh3RlRwryzJbXl4e099UQEc0dJpu//79webm\n5lJVVbPpaIgGk6qq2SUlJTH9tJvRMLIBADDB/fv3Lcm3G3/88cdjv/nNbwqS9w0EAnP7SZLE79u3\nb66ZVFEURhCEOA0aeiv18PCwNRAIzA0ghoaGrCzLxmnQcBy3hW47ceJEwRtvvHF3NX/fcjCyAQAw\nmKqq2T//+c9LpqamLIIgxF0uV5SQxAX9Dz/8cDQYDM77W/zFF1/kSJIUJ4SQzz//nKG3KKuqml1X\nV1cZiUTmwqikpCTm9XqDbrc7EgwG1/n9foEQQi5evMidP39+7maCI0eOTEiSxAcCAcuOHTuiydNv\nRsuanZ018/MAAJ7I4ODgV9XV1drye2YmOq1mdhgsZXBwUKiurt7wJOfANBoAABgOYQMAsEYoisJc\nunSJe++99wQzn4ExA67ZAACsES6XK3rz5s1b6f4eRsDIBgAADIewAQAAwyFsAADAcAgbAAAwHMIG\nAAAMh7ABAADD4dZnAACDqaqafeLEiYKOjo6ilpaWiby8vHgoFLKMjY093dDQ8DCVlk5CEs/h9PX1\nMaFQyDIwMJDz9ttvT+grByiPx1Oqb+FUFIXRNM0SDAbX/e53v+NEUfzTQscZCcvVAEBGydTlajRN\nsxQUFGyZnZ0d0L/PcdyW8+fPD9P10pY6/tSpU7y+EvrgwYOltOqZkmWZffnllyv1n8Nx3Bba4un3\n+wVJkgpW8jwPlqsBAMhwNpst1tPTwy6333KV0ISQuXI0lmXnVQcsVhdtJoQNAECaqKqaHQ6HLY2N\njRqthKarNkuSxHMct0VRFIaQ5SuhCSGku7ubW2iEtFhdtJlwzQYAMt7//FuLLXb7tqm10NaKiujf\n//vRFZe20f4Z2llz/fr1W7Sfpre3d26lZ6/XG3zvvfcE/bFLVULLsszW19eHF/vcheqizYSwAQAw\n0WpUByRXQtPps6WaN2ldtN/vF5xOZ8WVK1duP+n3WAmEDQBkvMcZYWSqhSqhu7u7uUAgYOnr62MI\nISQSiVj8fr9QV1cXJoSQ5eqizYCwAQBYI/Lz82dCodDcBf8bN27k6LfTSmh6XUaSJN7r9QaTR0vN\nzc2l+rvWlqqLNgvCBgDAYPQ5G0ISTZwHDx58sNAf+8bGRu1nP/tZiSzLbDAYXFdTUxM+evRo0enT\np+/cv3/fslglNH2taZrl2LFjAiGEiKJY6PF4lq2LNgueswGAjJKpz9lkMjxnAwAAGQFhAwAAhkPY\nAACA4RA2AABgOIQNAAAYDmEDAACGQ9gAAIDhEDYAAGA4hA0AABgOYQMAAIZD2AAAmEyWZVYUxcIn\nPY+iKIzf7xdEUSzcs2dPmaqq2Qvt5/F4SpOPk2WZlSSJ93g8pYsdt5oQNgAAJhMEIf7BBx8UPMk5\nNE2z9PX1MU1NTVpbW9vkgQMHHtTW1lYm7yfLMnvmzJl5JWx1dXWVLpcr6vV6g88///yjvXv32p/k\nu6QCYQMAYCJN0yxVVVWxzZs3R2VZZh/3PENDQ9b29vYi+trlckUnJiasmqbNrQpNS9VYlp1XqjY2\nNvZHWrSWn5+/aOHaakLYAACYaGhoyCoIQvzAgQMPOjs7541uZFlmbTbbZr/fL8iyzMqyzNJpLlmW\nWTplRkgiXHp7e+eqAhRFYViWndfW2d3dzdHuGz39Pu+9955w9OjRCWN+7V+hzwYAMt7FD2/ZHt79\nM2PmZz5b/Ez0n3608bEbQt1ud+RHP/qRnY4+6Hu9vb3BL774IoeWn7W0tJRcu3Yt5y+9NRGO47bQ\n1k19J05nZ2dBe3v7HfpalmW2vr4+vNjnq6qa3dXVxe/atSusb/00CkY2AAAmURSF6evrY/x+v+D3\n+4XNmzc/OnXqFJ+83/PPP/+I/js3N3emoqIittR5/X6/0NDQMNfYSQNMP4JJ5nA4ptva2ibz8vLi\nTqez4kl+VyowsgGAjPckIwwzaZpmoSMWQgj53ve+F923b1+Z/r2VkmWZLS8vj+lHJ93d3VwgELD0\n9fUxhBASiUQsfr9fqKurCxNCSFdXF09HR/v37w82NzeXqqqabWRVNMIGAMAkwWBw3t9cl8sVnZqa\nWqcoCrPQtZXlKIrCCIIQp8dKksR7vd6gviqaEEKam5tLaaDJsswGAoG57zE0NGRlWTZuZNAQgrAB\nADCcoijM66+/XkwIIfX19WE6vUXvRjtw4EBpU1PTvYqKitilS5e4wcHBmbq6uvDw8LD1xo0bOe+8\n805BVVXVxKlTp/hIJGIRRbHQ4/EE6+rqKiORyNzdZyUlJTF90GiaZjl27JhACCH0GLfbHQkGg+v8\nfr9ACCEXL17kzp8/P0wMljU7O2v0ZwAArJrBwcGvqqurH3vaCVZucHBQqK6u3vAk58ANAgAAYDiE\nDQAAGA5hAwAAhkPYAACA4RA2AABgOIQNAAAYDmEDAACGQ9gAAIDhEDYAAGsEbfA0oznTbAgbAACD\nqaqa7fP5irOysraJolhIV332eDylkiTNrfrsdrsjAwMDOdeuXctZ6DxL1UDT83Mct8XpdFYsFFhm\nrO68GKyNBgBgMIfDMd3a2nqvo6OjiK62/BdaVlbWNp7nh+mqzRs2bFiwTkBfA01IYhRUW1tby7XS\nNwAAIABJREFUOT4+foMQQux2e2x2dnZgoWNlWWZHRkasV69e5Vb5p6UMIxsAgDRyOBzR/v7+ZYvf\nUqmBXozb7Y48SY3BakDYAACkiaIoTDgctjQ2Ni4YBB6Pp3TTpk0bZVlml6uBDoVCFkmSeFmWWZ/P\nV5xKCJkJ02gAkPF6Tx6zaeN3TK2FFmyl0Vpf44pL22itQDAYXHf27Fn+zJkzYws1amqaZvnBD34Q\n7urqmqt6XqoGurGxUaPnEQQhvnPnzsqbN2/eWun3MwrCBgDARPpGTa/XG3Q6nRU/+clPNH0Pzejo\naPbOnTsr//CHPyzYM5NcA01IImDov10uV1RVVYbWQxv1W1YCYQMAGe9xRhhrxSuvvBI8cuRIsT44\n8vLy4kePHp344Q9/WHblypXb+v0XqoFWFIU5cOBAafJIZq0EDSG4ZgMAkFYXL17kNm/ePK8SmobJ\nhg0bpmmjJiF/rYGmQUNvm66qqop5vd4HdD9Zltndu3fPq4ZON4xsAAAMpqpq9okTJwoISdQz5+Xl\nxQkh5IsvvsjheT5Or8soisJcunSJ++qrr6yVlZWx559//lFzc3NpKBSyLFUDLQhCvLy8PEaDaXR0\n1Hr69Om56zmKojA9PT0sIYnncWpra8P6kZEZUAsNABkFtdDmQy00AABkBIQNAAAYDmEDAACGQ9gA\nAIDhEDYAAGA4hA0AABgOYQMAAIZD2AAAgOEQNgAAYDiEDQAAGA5rowEAmEgUxUJCEis75+fnxysq\nKmI9PT2svo/G5/MV2+32WCgUsuzevTvS19fHhEIhy8DAQM7bb789QXttfD5fcUdHRxHLsvHNmzc/\nev/99+/oO28IIcTpdFYkrxydDggbAAATaJpm2bp168YzZ86MuVyuuVWeVVXNPnr0aAlt6/T7/UJ+\nfv7M/v37gxcuXGD7+voYWuksyzJbW1tbOT4+foMQQux2e2x2dnZgoc+TZZkdGRmxXr16lTPj9y0H\n02gAACZ47bXXSn/84x8/0AcNIYn2zX379s0tLBoKhSx5eXlxQRDi//AP/zDd3t5eRLe5XK7oxMSE\nNZXKZ7fbHaEhtRZgZAMAYIKenh7+7bffnlhomyiKfxIEIa4oCvPpp59yubm5cUIIaWpq0np7e+fa\nOhVFYViWjdPptlAoZJEkied5fqa3t5drbW29t5YK0/QQNgCQ8R7+57Dt/+49Ysz8zP9XlBN99p8r\nU2oIVRSFIYSQ9evXLxgE9DqLy+WK7tq1K5yXlxenoxL9NZjOzs6C9vb2uZ4a/XUeQRDiO3furExu\n61wrMI0GAGAwOnV2//79Bae/UpkW8/v9QkNDQ1BfH60fxbhcrqiqqkwq50oHjGwAIOOlOsJIpxdf\nfDHc1dXFt7W1TSZv6+7u5vQhkkyWZZZWRdP3FEVhDhw4UJo8klmr02gY2QAAmODjjz8e++CDDwro\nlBq13EhEURRGEIQ4DRpJknhCCKmqqop5vd4HdD9Zltndu3cvGljphpENAIAJBEGIj4+P3/D5fMU9\nPT0sfc6G5/kZOqpRFIX56KOPns3NzZ0pLy+PVVZWxurq6iojkchcIJWUlMS8Xm9QEIR4eXl5zO/3\nC4QQMjo6aj19+vTc9RxFUZienh6WkMTzOLW1tWH9yMhsWbOzs+n6bACAFRscHPyqurp6zdzS+7dg\ncHBQqK6u3vAk58A0GgAAGA5hAwAAhkPYAACA4RA2AABgOIQNAAAYDmEDAACGQ9gAAIDhEDYAAGA4\nhA0AABgOYQMAAIZD2AAAGExV1WyPx1OalZW1TRTFQr/fL/j9fsHn8xVzHLcleXFOPUVRGL/fL4ii\nWLhnz54yVVWz6Tafz1eclZW1jeO4LU6nsyLVbemAhTgBAAzmcDimjx8/PnHmzBkhuWLg4MGDD65d\nu5aTXBdNSGJF6L6+PoYWqcmyzNbW1laOj4/fIIQQu90em52dHVjoM5falg4Y2QAApAGtFtA3cSYb\nGhqytre3F9HXLpcrOjExYV2rBWlLwcgGADKeLMu2+/fvm1oLvX79+qjb7X7s0rbu7m6uvr4+LAhC\n3Ov1BjVNs5w6dYovLy+PBYPBdaOjo9ltbW2Tvb29w/QYRVEYlmXjtCAtFApZJEnieZ6f6e3t5Vpb\nW++lsi0dEDYAACby+/1CKBSyHD9+/Dv19fV/pO8fPny46NVXXw3S6TRakqYf+XR2dha0t7fPddY0\nNjZqNEAEQYjv3LmzkjZ3LrUtHdBnAwAZJVP7bDRNsxQUFGyh11EkSeLpyEbTNMv9+/cttbW1lTab\nLbZr165w8rUdv98v5Ofnx5eqj87Kytr24MGDLxcawSy1bTnoswEAyFC0bZOQxJTa+vXr4+Pj4zfe\nfPPNu2NjY0/v2bOnjO4ryzJbXl4e0weNoijMpk2bNiafVxCE+FLbjPo9y0HYAACk2eeff84cPny4\nSFXVbJfLFe3q6ppX7ywIQpxWOtPptaqqqpjX631A95Nlmd29e3dwuW3pgms2AAAGU1U1u62t7TuE\nECKKYmFeXl6cEEJGR0etn3zyCX/o0KF7oVDIcv78ee7atWtxQgg5cODAA1VVs+vq6iojkcjc3Wcl\nJSUxOioqLy+P+f1+gZ7r9OnTdwhJjGAW25YuuGYDABklU6/ZZDJcswEAgIyAsAEAAMMhbAAAwHAI\nGwAAMBzCBgAADIewAQAAwyFsAADAcAgbAAAwHMIGAAAMh7ABADDYUrXQWVlZ2x7nnJlWF4210QAA\nDLZULfSOHTuiqqpmL9XYmSwT66IxsgEASANa7VxfXx8eHh62ruTYTKyLRtgAAKTBsWPHBEISKzS7\n3e6ILMuszWbb7Pf7BVmWWVmWWY/HU6qqarYsyyydMiMkES6p1EXLssz6fL5ifQgttc1IWPUZADLK\nQqs+q7f+1fboz8OMmd8j55nKqGPjf4ynuj9t6nzrrbfu0FrocDj8pX4fn89XPDU1tY722WzatGlj\nU1PTPVqaxnHcluRjCCFkz549ZQ0NDUG6n6ZpFho8iqIwBw4cKKWV0EttW8xqrPqMazYAACai11kW\n8/zzzz+i/87NzZ2pqKiILbW/3+8X9EFDyPxGTpfLFVVVlaEhs9S2x/tFqUHYAEDGW8kIY61obGx8\n4k4eWhdNWzwJWXy0QuuiF9v2pN9lObhmAwCQBk/6Bz7T6qIxsgEAMJiqqtknTpwoICRxXaa2tjas\nH40QkgiPS5cucYODgzN1dXXh4eFh640bN3LeeeedgqqqqolTp07xkUjEIopiocfjCWZaXTRuEACA\njIJaaPOhFhoAADICwgYAAAyHsAEAAMMhbAAAwHAIGwAAMBzCBgAADIewAQAAwyFsAADAcAgbAIA1\nQlEURhTFQkVRTF3B2gwIGwAAg6mqmk3rmPW10LSvhu7ncrmiY2NjT/f19S0bNk6ns2KhzxFFsVCW\nZVYUxUJ9V0266qAprI0GAGAwh8Mx3draeq+jo6NIXwutKEp006ZN333w4MGXdGHO3NzcmaXOJcsy\nOzIyYr169SqXvG3v3r12uqKzy+WKvvbaa6UXLlwYIyR9ddAURjYAAGnicrmihCSmz1I9xu12Rxbq\nxFEUhdEHlSAI8cuXL38jkNIFYQMAkCaSJPH79u3TkleADoVCFlmWWUmSeI/HU5rKuW7fvm3Nzc2d\nV1uQm5s7Q4MsXXXQFKbRACDjNd762jb06H9NvahelfN09NjG51Zc2ibLMksIIWfPnn22rKzsf2kF\ntN7Y2NjTdLrN7/cXqaqa7XA4ppc6byAQWDI8GhsbNTpVJwhCfOfOnZXL1UGvJoxsAABM5Ha7I263\nO9LV1XXn008/5URRLEzeJ7ka+uHDh8sODPLz8+NTU1PzAmdqamruuMXqoB//l6wMRjYAkPEeZ4Sx\nFuzatSv86aefcoSQyWV3XkZFRUVMHy6Uy+WKprMOmsLIBgAgTfLy8uI3btzIIYSQJx1l0JsNKFVV\ns2tqasKEpLcOmrL84he/MPPzAACeyOTkZGNRUVF0+T3XDk3TLMeOHRM+++wz7plnnvm/ysrKGMMw\ns06nM9rd3c0Gg8GnxsfHsx89evTUr371q8L//u//tr744ot/vnz5MtPZ2Vk4NTX11M6dO//MMMys\noijMu+++++xnn33GTU5OPjUzM0OqqqqmCSGkuro6+u677z4bDoef6u3t5d58880/MQwzyzDM7P37\n9y2ffPIJd+XKFea//uu/ck6cOHGXYZiUqponJyeZoqKiY0/y3wC10ACQUVALbT7UQgMAQEZA2AAA\ngOEQNgAAYDiEDQAAGA5hAwAAhkPYAACA4RA2AABgOIQNAAAYDmEDAACGQ9gAAIDhEDYAAGA4VAwA\nABhMVdXsEydOFHR0dBS1tLRM5OXlxUOhkCUQCKzbsWNH1Ov1rmgFZqfTWXHlypXbye9LksTrX9Pz\nqqqa3dXVxW/fvj3a39/P6IvUzIKFOAEgo2TqQpyaplkKCgq2zM7ODujf9/l8xfn5+TO0mXMpsiyz\nIyMj1ubm5tLk84iiWGi326e9Xm9Q0zSLvolz06ZNG+m/NU2zvPbaa6UXLlwYS/W7r8ZCnAgbAMgo\n37awIYQQjuO29PX1qctVP1NZWVnb9OfRNM1SVlb23XA4/GXyvoqiMK+//nqxfiTEcdyWhfZdzGqE\nDabRACDjNf/noG34XoQx8zMri9joW/9cvSoNoTU1NeGuri7ebrdPHzp0qLSmpiZ84cKFMU3TLFu3\nbt340ksvBU+ePHl3seMVRWFsNltMkiSe5/mZ/v5+xuPxBB0Ox/Tt27etubm586bMcnNzZxRFYZIL\n14yEsAEASDOe5+MDAwM5bW1tk4FAwDI6OmolJFHb/MYbb9xd7prOyMiIVVVVpr6+PiwIQtzlckW3\nbt26cXx8/EYgEHiiBtDVgrABgIy3WiOMdAkGg5Zt27Y9IoSQpqYmzWazbT558uRdVVWzKyoqYssd\nX15eHispKYnRi/6CIMQnJiasqqpm5+fnx6empuYFztTUlOl/+3HrMwBAml2+fJnbvXt3hL7+/ve/\nH5Ekib927VpOKlNdlZWV3wgklmXjhBBSUVERWyhczJxCIwRhAwCQVqIoFr766qsP9H/8f/rTnz7w\n+/1FPM/PpHIOh8MxzXFcXNM0CyGJGwZsNlvM4XBMJ4eKqqrZNTU14dX9FcvDNBoAgMHoczaEJMJF\n/5yN3W6PJd/2TAPC7XZH9O8risL09PSwhCRuma6trQ3Tfc6dOzd6+PDhIrvdHhsdHbWeO3dulB7X\n2dl5RxTFQvqczenTp+8Y/ZuT4dZnAMgomXrr80pJksSv9GFPo6zGrc+YRgMAWCMkSeI1TbOoqpr9\nwgsvPEr391lNCBsAgDUiEAhYuru7uYcPH65L9QHPTIFrNgAAa0RTU9O3dnoQIxsAADAcwgYAAAyH\nsAEAAMMhbAAAwHAIGwCANUiSJF4UxUK6KkCmQ9gAABhMVdVsn89XnJWVtU0UxUK/3y+Ioljo8XhK\nZVlmFzrG6/UGP/jgg4L79+9/I2ycTmfFQp8himKhLMtsckhxHLclKytrm/5/oigWru6vXBpufQYA\nMJjD4ZhubW2919HRUZS8NA3HcVvOnz8/vNDCmBzHzeuhoU2dV69e5ZL33bt3r522cbpcriht49Q0\nzfLhhx+O6pe+EUWxMJVm0NWEkQ0AQBrZbLYYXe9sOW63O7LQsziKojC5ublzi3YKghC/fPkypz+O\n/luSJN7j8Zi+DA5GNgAAaaKqanY4HLY0NjZqhPx1oc3t27dHg8HgunA4nNL1mlTbODVNswQCAUs6\nVidA2ABA5pP/xUbuq6bWQpP1jihx/2rFpW2SJPGEJJamIYSQ69ev3xIEIa5pmuXAgQOldCqMEEKO\nHDlSnMo5U23jPHz4cFFra+u9lX7n1YCwAQAw0WIrOZ86dYqvrq6ed90m+ZrNYlJt47x06RInCMLd\nlXzf1YKwAYDM9xgjjLUoGAw+1m3OqbRxyrLM6q/rmA03CAAArAH79+8Pfv3111b9e6les0mljbO/\nv59Jvq5jJssvfvGLdH02AMCKTU5ONhYVFX3jNuG1TFXV7F/+8peF/f39z0xOTj5VVlYWKygomPeH\nn2GY2eLi4tivf/1rPhwOP3X16tWc3//+99yXX375d7t37w4zDDOrKArz7rvvPvvZZ59xk5OTT83M\nzJCqqqppQgiprq6Ovvvuu8+Gw+Gnent7uTfffPNPDMPMtWN++umnz1it1tmXXnopkvz9ljM5OckU\nFRUde5L/BmjqBICM8rfS1LmWoKkTAAAyAsIGAAAMh7ABAADDIWwAAMBwCBsAADAcwgYAAAyHsAEA\nAMMhbAAAwHAIGwAAMBzCBgBgDZIkiU+ud85kWPUZAMBgqqpmnzhxoqCjo6OopaVlIi8vLx4KhSxj\nY2NPNzQ0PNQ3aVJerzdos9k2ezyeoCAI89ZRczqdFVeuXLmd/BldXV389u3bo/39/UxjY6NGj1MU\nhenr62MIISQUClk8Hk/Q7AI1hA0AgMEcDsd0a2vrvY6OjqK2trZJ/TaO47acP39+OHnl5r9smxcy\nsiyzIyMj1qtXr3LJ++7du9dOi9dcLlf0tddeK71w4cIYIYT09PSw+s/1eDylXV1dd1br96UC02gA\nAGlks9liPT09bCr7ut3uSFNT0zcWIVUUhdF31QiCEL98+fJcIH3wwQcF6Z6Ow8gGACBNVFXNDofD\nlsbGRo2QRGj09PSw27dvjwaDwXWp9tncvn3bmtxVk5ubO6MoCuNyuaKHDh26V1ZW9t0jR45MEELI\n8ePHJ1b/1ywNYQMAGe/w5cO2keAIY+ZnlvPl0daa1hU3hEqSxBNCSCAQsBBCyPXr128JghDXNM1y\n4MCBUjoVRgghR44cKU7lnPRci2lqatJCoZBFkqQCQgipq6sLJ18HMhrCBgDARF6vN7jQ+6dOneKr\nq6vnXbdJvmazmPz8/PjU1NS8wNHXRIuiWNjW1jbZ1tY26ff7hdra2srx8fEbj/P9HxfCBgAy3uOM\nMNaiYDD4WNdVKioqYvpwoVwuV1SWZXb79u1zIdbU1KSNjo5a6RTbk3zflcANAgAAa8D+/fuDX3/9\ntVX/XqrXbJJDQ1XV7JqamjAhiZsF+vv7vzHFaGbQEEKI5Re/+IWZnwcA8EQmJycbi4qKTP1D+aRU\nVc3+5S9/Wdjf3//M5OTkU2VlZbGCgoJ5U2QMw8wWFxfHfv3rX/PhcPipq1ev5vz+97/nvvzyy7/b\nvXt3mGGYWUVRmHfffffZzz77jJucnHxqZmaGVFVVTRNCSHV1dfTdd999NhwOP9Xb28u9+eabf2IY\nZva55577vzt37mRfvHjxmStXrjDnz59nX3nllannnnvu/1L9/pOTk0xRUdGxJ/lvkDU7O/skxwMA\nmGpwcPCr6urqb9z+C8YZHBwUqqurNzzJOTCNBgAAhkPYAACA4RA2AABgOIQNAAAYDmEDAACGQ9gA\nAIDhEDYAAGA4hA0AABgOYQMAAIZD2AAAGExV1Wyfz1eclZW1TRTFQr/fL/j9fsHj8ZTSyoGVcDqd\nFcnvKYrCyLLMSpLEezyeUlVVs+k2+tkcx21xOp0V+m1mwarPAAAGW6IWWsvKytrG8/yw2+2OLHee\npWqh6+rqKsfGxv4oCEI8EAhY9DXRdrs9Njs7O7CKP2nFMLIBAEgjh8MRXWhV5oUsVgtNCCE0aAhJ\n9Nus5ndcDRjZAACkiaIojL4WmpDE6IUQQkZGRqyhUMiSNBJalL5587333hOOHj06V/38l5ZOnuf5\nmd7eXq61tfUemjoBAFbof/6txRa7fdvUWmhrRUX07//96IpL22iYBIPBdWfPnuXPnDkzpv/Df/Dg\nwdLr16/fcrvdEY/HUyrLMpvKFBshiWtDXV1d/K5du8L6YxobGzX6GYIgxHfu3Fmpr582A8IGAMBE\n+hDwer1Bp9NZ8ZOf/ESjddHXr1+/1d3dzRGSaO4cGRmxEkJSChuHwzFNq5+dTmfFlStXbhMyf9Tj\ncrmiqqoymqZZzBzdIGwAIOM9zghjrXjllVeCR44cKfZ6vUFN0yw7d+6sPHfu3KjD4Zj+/PPPUxqt\n0RENnXLbv39/sLm5uVRV1eyHDx+uO3DgQGnySMbsaTTcIAAAkEYXL17kNm/eHCWEkO7ubi43N3fG\n4XBME0LI1NTUOkL+OvW2mOHhYWsgEJgbPAwNDVlZlo07HI7pqqqqmNfrfUC3ybLM7t69O2jMr1kc\nRjYAAAZTVTX7xIkTBYQQIopiYV5eXpwQQr744oscnufjXV1ddwghpL6+Pnz27FmeXsxvaGh4ePbs\n2WfLy8tjhCRuKOjp6WEJSTw7U1tbG3a73RG32x0JBoPr/H6/QEgiwM6fPz9MSGIEU15eHqPbRkdH\nradPn75j9n8D1EIDQEZBLbT5UAsNAAAZAWEDAACGQ9gAAIDhEDYAAGA4hA0AABgOYQMAAIZD2AAA\ngOEQNgAAYDiEDQAAGA5hAwAAhkPYAACA4bAQJwCAwehCnB0dHUUtLS0TeXl58VAoZAkEAut27NgR\npV02qdJ31ehJksTrX9PzKorCaJpmCQaD6373u99xoij+ia4sbRYsxAkAGSVTF+LUNM1SUFCwZXZ2\ndkD/vs/nK87Pz59Jpf5ZlmV2ZGTE2tzcXJp8HlEUC+12+7S+F4d22HAct2VsbOyPgiDE/X6/IElS\nwUqaOldjIU6MbAAA0ujkyZN3OY7b4vF4gsuNNv7S8hlpbm4u1b+vaZrl+PHj3wmHw18SkqgV0IcJ\nDRpCCMnPzze1NI1C2ABAxrv44S3bw7t/TqnVcrU8W/xM9J9+tHFVGkJramrCXV1dvN1unz506FBp\nTU1N+MKFC2Oaplm2bt268aWXXgqePHny7mLHK4rC2Gy2GO3B6e/vZ/ThpW/lfO+994SjR49OrMb3\nXgmEDQBAmvE8Hx8YGMhpa2ubDAQCltHRUSshiZB444037i53TWdkZMSqqipTX18fFgQh7nK5olu3\nbt04Pj7+/9u7/5g2zgR//A/nHO4NOwaHodAPuEThxxEnK9KkarPe2SLltCKxysmtLkjxqt3wx4r1\nfZQWaUlP+uDku7fASnedfBQSXRI2J02yuQOJnLajpUpBET1tOg1uLj/WWphwBHJJoZ/mxzg29sZb\ns7h8/2AfOnH5DY+Nu++XVCn22DN2/8g7z/OMn/cAfQ2tjt69e3f4TyOkpELYAEDaW6sRRqoEg0HT\nzp07nxBCSGNjo26z2badOnXqM03TMsvKymKLvb+0tDRWVFQUoyMYQRDi4+PjZk3TMunoxm63T7a0\ntDyQJEmY7wYDlnDrMwBAin388ceWPXv2zI42vve970VkWbZ+8sknWaIoRhd7f3l5+dcCief5OCEz\nIxqv15tPnz9w4ECwv7/fomla5lp9/qVA2AAApJDX683/wQ9+8MgYKn//93//SJKkAqvVOrWUc9jt\n9kmLxRLXdd1EyMwNAzabLWa32yeHh4fNgUBgdhZraGjIzPN8PNm3PmMaDQCAMfo7G0JmwsX4O5uS\nkpJY4m3PNHgS11ZUVeV6enp4QmZuma6urp5df7lw4cLo4cOHC0pKSmKjo6PmCxcujNJzBIPBDZIk\nCYQQ0tfXZ7l48eIw+2/9NPzOBgDSSrr+zma5ZFm2LvfHnqysxe9sMI0GALBOyLJs1XXdpGla5ssv\nv/wk1Z9nLSFsAADWiUAgYOru7rY8fvx4Q7LXVFjDmg0AwDrR2Nj4jZ0exMgGAACYQ9gAAABzCBsA\nAGAOYQMAAMwhbAAAgDmEDQAAMIdbnwEAkohuipmTkxPPzc2Nl5WVxXp6eviGhgbd2DuzFKqqcj6f\njwuFQqbr169nHT16dHyu3+e43e7ijo6Oe/SxxWLZHolETMbXNDU1jS+lLXSlEDYAAElAi9A6Ozvv\nGDfd1DQts7W1taihoWFZv7HRdd3k8/k4+tscRVH46urqcmOHDX2+s7NToGGj67rpl7/85ahx3zWv\n15vPMmgIwTQaAEBSvPHGG8U//OEPHyVWBtjt9sn9+/cv+8ecQ0ND5ra2tgL6WBTF6Pj4uJnu/EzI\nTLAIghCndQOUMWhkWba63W7me7BhZAMAaa/31DGbPnYvqbXQgq04Wu1pWHJpW09Pj/Xo0aNz1jF7\nvd7PBUGIK4rCHzx4sPjtt9++X1paGiOEkK6uro1er/fz4eFh88jIiDkUCplaWloeiKIY7e3tnd29\nWVVVjuf5uHEqrru725K4mafxuK7rpkAgYErG1jgY2QAAMKaqKkcIIc8+++ycazL0L3uXyxV59dVX\ngzdu3MhyuVwRl8sV8fv93CeffJLlcrkijY2N+vHjx59LfB8hhLS3t+e1tbXNrssoisLX1NSEF/pc\nhw8fLjhw4EBSdpbGyAYA0t5yRhipQKfOHj58aJrrJgA63UUf79ixY3bH5+zs7KnFqqElSRJqa2uD\ndBRDz7fYDQeXL1+2CILw2XK/z0pgZAMAkATf+c53wh0dHda5jnV3d1tWel5FUfjS0tKYcbqsu7vb\n4vP5OEmSBEmShEgkYpIkSTBWQSuKwmdnZy+pCXQtYGQDAJAEv/71r++88MILW/bs2RMx3iRgXNBf\nLlVVOUEQ4vR8tHAtcZ3m0KFDxYk7Sl+7do3Lzs5e1q3Wq4GwAQBIAkEQ4mNjYwMej6ewp6eHp7+z\nsVqtUzQcVFXlLl++bPH7/VNOpzM8PDxsHhgYyDp58mReRUXF+NmzZ62RSMTk9Xrz3W530Ol0lht/\nL1NUVPTUCEfXddOxY8cEQmZub3a73UHjOs+mTZsWnJ5bS6iFBoC08udSC72eoBYaAADSAsIGAACY\nQ9gAAABzCBsAAGAOYQMAAMwhbAAAgDmEDQAAMIewAQAA5hA2AADAHLarAQBgTNO0zJaWluc6OzuF\npqam8ZycnDghhIyOjpr//d//Pe/ixYvDiaVqiRwOR9mVK1duJz4vy/JTm3sat6tZ6Fg6OFHyAAAg\nAElEQVSyYbsaAEgr6bpdja7rpry8vO3T09PXjc9rmpb5ySefZM0XBIqi8CMjI+ZDhw4VJ77X6/Xm\nl5SUTNbV1QV1XTdVVVWVDw4O3lrs2HKtxXY1CBsASCvflLAxdtjQ3ZoXen9GRsZOY9joum7avHnz\nt8Ph8G/nutZ8x1YCe6MBAKSp7u5uC60XqKurCyqKwttstm2SJAmyLFv37t27eaH3q6rK2Wy2mCzL\nVkVReK/Xm0/7ahY6lipYswGAtPf4P4Ztf7z/hEvmNf+yICu68e/Kl90QKkmSEAqFTMePH3+upqbm\nd/R5l8sV6erqity4cSOro6Pj3mLtnCMjI2ZN07iampow7bR54YUXtoyNjQ0sdGwl33UtIGwAAJKI\nlpiVlJTM9srQKbXs7OypkpKSGCFfVUnPp7S0NFZUVBSjU3GCIMTHx8fNmqZlLnTM2GeTTAgbAEh7\nKxlhpFpijTN9nJubu6T2zPLy8q+NfHiejy92LFWwZgMAkGJXr15d9hSg3W6ftFgscbruo+u6yWaz\nxex2++RCx9b6sy8VRjYAAIzR39kQMnNLsvF3Nu+//7717bffvk8roe/evWsuKyuL0Wk0VVW5np4e\nnhBCPB5PYXV1ddjlckUIIeTChQujhw8fLigpKYmNjo6aL1y4MEqvudCxVMCtzwCQVtL11ud0hluf\nAQAgLSBsAACAOYQNAAAwh7ABAADmEDYAAMAcwgYAAJhD2AAAAHMIGwAAYA5hAwAAzCFsAACAOYQN\nAABjmqZlejyewoyMjJ1erzdfkiRBkiTB7XYXy7JsNb5269atWxRF4eljVVU5SZIEr9ebv3fv3s1z\nlaA5HI6y+a690LFkwkacAACM2e32yebm5vunT58uaGlpeWA4pGdkZOy0Wq3Dxs016e7Muq6bfD4f\nRztwFEXhq6ury2kJmqIo/MjIiLm/v9+SeM2FjqUCRjYAAClkt9uj165d4wyPZ2sAhoaGzG1tbQX0\nsSiK0fHxcTOtDnC5XBEaRIkWOpYKGNkAQNpTFMX28OHDpNZCP/vss1GXy7Wq0jZVVblwOGxqaGjQ\n6eP6+vriurq6R42NjbooitHe3t5h4+t5no/TBs50grABAEgiuh4TDAY3dHV1WTs7O+/Q8BBFMfrK\nK6+Eja83jnTa29vz2tra7iX3E68NhA0ApL3VjjCSia7NEDJTDe1wOMp+9KMf6YZa6Km53idJklBb\nWxs01kmnE6zZAACk0Ouvvx48cuRI4UKvURSFLy0tjaVr0BCCsAEASKm+vj7Ltm3bovMdV1WVEwQh\nTkdEibdKpwtMowEAMKZpWuaJEyfyCCHE6/Xm5+TkxAkh5MaNG1lWqzXe0dFxj5CZYHnvvfc2Zmdn\nTzmdzjAhhDidzvJIJGKi5yoqKpod4aiqyvX09PCEEOLxeAqrq6vDNJQWOpYKGdPT06m6NgDAsvn9\n/ruVlZXr5pbePwd+v1+orKzctJpzYBoNAACYQ9gAAABzCBsAAGAOYQMAAMwhbAAAgDmEDQAAMIew\nAQAA5hA2AADAHMIGAACYw3Y1AACM0e1qTp8+XdDU1DSek5MTD4VCpjt37jxTW1v7eCnbyKiqyvl8\nPi4UCpmuX7+edfTo0XFaP6CqKqfruikYDG64dOmSxev1fm6sJiBkph76ypUrt1l9x8UgbAAAGFug\nFppYLJbtFy9eHBZFcd7NOBerh3Y6neV37tz5nSAI8UAgYNq3b1/J4ODgLfra9VAPjWk0AIAUstls\nMbph5nwWq4emQUMIIbm5uU+1eK6XemiMbAAAUkTTtExjLTRt8RwZGTGHQiETHQUtVg9trIk+c+aM\n0NraOp7cb7I4hA0ApD3t1j/Ynvx+mEvmNbO+VR61b/mnZTeE0j6aQCBgIoSQmzdv3qJhcfDgweKb\nN2/ecrlcEbfbXawoCk/Xcxarh9Y0LbOjo8O6e/fulFYJzAdhAwCQRAu1bd68efNWd3e3hRBCgsGg\naWRkxEwIeSo45quHttvtky0tLQ8kSRJSfTPAXBA2AJD2VjLCWG90XTdVVVWVX7hwYdRut09evXr1\nayM1Wg9tHLnQEQ2dcjtw4EDw0KFDxZqmZSbekZZKuEEAAGAd6O7utmRnZ0/RgJiYmNhAyFfrOPPV\nQw8PD5sDgcDswGFoaMjM83x8PQUNIRjZAAAwZ6yF9ng8hQcPHnyUGAY1NTXhrq4uqyzLVqvVOlVb\nW/u4q6trY2lpaUzTtMz56qFdLlckGAxukCRJIISQvr4+y8WLF5+6mWA91EOjFhoA0gpqoZMPtdAA\nAJAWEDYAAMAcwgYAAJhD2AAAAHMIGwAAYA5hAwAAzCFsAACAOYQNAAAwh7ABAADmEDYAAOuYLMtW\nr9ebT4vS0hXCBgAgibxeb77X682XJEmQZdmqKAq/UJjU1dUFz507l/fw4cOvHXc4HGWJz3k8nsKM\njIydFotlu8PhKNM0LXOu87rd7uLVf5ulw0acAABJoOu66YUXXtjS2dl5RxTFKH1e07TM1157rZy2\ndc7FYrE8VfWsKAo/MjJi7u/vtyS+tqSkJDY9PX19oc+iKArf2dkpdHR03FvodWsJIxsAgCT427/9\n280//OEPHxmDhpCZ0rP9+/cva2NRl8sVaWxsXNFmpLqumwRBiPM8H1/81WsHIxsASHsNtz61DT35\nIqm10BVZz0SPbXl+yaVt/f39ln/913+dcyTh9Xo/p9XQhHxVC/Diiy9Gg8HghnA4vOT1mlAoZKI1\nBb29vZbm5ub7xnN3d3dbFmoLZQVhAwDAmKqqHCGEPPvss3OOJozdNrqum+rr64sHBwdv0eeOHDlS\nuNRrNTQ06DRcBEGIV1VVldNzKYrC19TUhFf6PVYDYQMAaW85I4xUoFNnqqpyxuIyRVH4a9eucdev\nX8/auXPnk5aWlgdnz561VlZWPjXVlrhmsxDjKEYUxaimaRy9+UAQhLjxeDIhbAAAkuA73/lOuLe3\n12IMG5fLFRFFMZqXl1d0/vz52Sm2YDC4otucVVXlEkdFhMyEjCzL1kAgYPL5fBwhhEQiEZMkSYLT\n6Qwno0IaYQMAkAS//vWv77zwwgtbEmuZh4aGzMbXHThwICjLcp7xuaWu2VRUVMTq6uoe0ceKovB7\n9uwJEjJzC7XxtYcOHSpe6U0GK4GwAQBIAkEQ4mNjYwMej6ewt7fXkpubO5WTkxMvLS2Nvfvuu/eM\nr2ttbR33er359AYBQgj5yU9+UnT+/Pl7giDE6Q0EhMz8roYGmCAI8dLS0pgkSQIhhIyOjpqNIyZC\nZtaEjh07JhAy85sft9sdTMbIJmN6epr1NQAA1ozf779bWVmZtH+RAyF+v1+orKzctJpz4Hc2AADA\nHMIGAACYQ9gAAABzCBsAAGAOYQMAAMwhbAAAgDmEDQAAMIewAQAA5hA2AADAHLarAQBgTNO0zBMn\nTuSdPn26oKmpaTwnJyceCoVMd+7ceaa2tvaxca+0haiqyvl8Pi4UCpmuX7+edfTo0XG61Yyqqpyu\n66ZgMLjh0qVLFq/X+7nxWE9PD19SUjJ59epVLrHjJhmwXQ0ApJV03a5G13VTXl7e9sTKZovFsv3i\nxYvDiQ2ec73/7NmzVrp5pqIo/MGDB4vHxsYG6Hnu3LnzO0EQ4pIkCbIs5w0ODt6iddT0dZqmZba0\ntDy3nEpobFcDAJDmbDZbjG6quZChoSFzW1tbAX0simJ0fHzcTLtqaNAQQkhubu5TzZw2my1GH9vt\n9snOzk5hbb/F4hA2AAApomlaZjgcNjU0NOiKovA2m20b3bFZlmWrxWLZTls+RVGM9vb2DtP3qqrK\n8TwfN7Zy0mNnzpwRWltbxwkhxGq1Tk1MTHxtyUTTtEzW388IazYAkPYO/YffNnw/wiXzmuUFfPTd\nv6tcdkOoLMtWQggJBAImQgi5efPmLUEQ4i6XK9Lb2zvbOVNXVxc8c+bMUyMQYxVAe3t7Xltb21NT\nYZqmZXZ0dFh3794925njcrkiTU1NRNd1kyAIcUVReEIIefz48QZCCPNqAQphAwCQRIklZishSZJQ\nW1sbTDyX3W6fbGlpeSBJkuBwOMquXLlymxBCBgcHb8mybC0rK4uVl5fHCJkpWlvt51gOhA0ApL2V\njDDSlaIofGlpacx4Bxsd0bS0tDwgZKbt89ChQ8WapmXS0RANJk3TMouKimLJvhsNazYAAOtEbm7u\nVCgUmq2AHhgYyDIeV1WVo1NuhHw1JTc8PGwOBAKzg4ehoSEzz/NxGjQWi2U7PXbixIm8n/3sZ5+x\n/i6JcOszAKSVdLz12fg7mx//+Mf3Dx48+GiuKmZd101vvfVWUW1t7eNgMLihq6vLSggh58+fv/fw\n4UPTrl277JFIZDaMioqKYvSWZlmWrXQdqK+vz9LU1HSf3k4tSZKQm5sbDwQCptzc3Phyp/LW4tZn\nhA0ApJV0DJt0h9/ZAABAWkDYAAAAcwgbAABgDmEDAADMIWwAAIA5hA0AADCHsAEAAOYQNgAAwBzC\nBgAAmEPYAAAAc9j1GQAgCVRV5Xp6evicnJw4IYSUlpbGRkZGzLTmeSWMNQJzcbvdxcb6Z1VVOZ/P\nxxFCSCgUMrnd7uBce7SxgLABAGBM13VTa2trwQcffHCHPuf1evNXej5FUfiRkRFzf3+/ZaHXdHZ2\nCsaw6enp4WkNASFfDyOWMI0GAMDY0NCQ+dNPPzUbn2toaNDpKGe5XC5XZKEREW3l5Hn+qfOfO3cu\nT9d103zvYwkjGwBIf8r/tpGHWlJrocmz9ihx/cuSSttEUYyGw2HT3r17N9fX1z9yuVwRQRDiNDAU\nReEPHjxY/Pbbb98vLS2NEUJIV1fXRq/X+/nw8LB5ZGTEHAqFTMZRyUK6u7stc9UIvP322/c3b978\n7SNHjowTQsjx48fHl/6FVwcjGwCAJLh58+atTZs2xQ4ePFickZGxc+/evZvpMZfLFXn11VeDN27c\nyHK5XBGXyxXx+/3cJ598kkVHMcePH39uKddRFIWvqakJz3WssbFRf+uttz6XZTlPluW8hw8fJm2U\ng5ENAKS/JY4wUkkQhPipU6c+O3Xq1Ge6rpveeOON4sQ1kx07djyhf87Ozp4qKyuLLecadPpsvspn\nr9eb39LS8qClpeWBJElCdXV1OS1fYw1hAwDAmKqq3MaNG6fonV+CIMTPnz9/r6qqqnwtr9Pd3W0J\nBAImesdZJBIxSZIkOJ3O8PDwsPnFF1+M0tc2Njbqo6OjZlVVOdroyRLCBgCAsbnuRhsaGjK/8sor\nc053rVTiOs2hQ4eK6brQ48ePN/T09PAulytifE0ygoYQhA0AAHOCIMRra2uDkiQJubm58UAgYAqF\nQqZTp059RsjMyOfy5csWv98/RUchAwMDWSdPnsyrqKgYP3v2rDUSiZjoNBj9zQ4hhHg8nsLq6uqw\nMUR0XTcdO3ZMIGRm6sztdgdFUYzevn3bLEmSQMjM72x+8IMffO0mAlYypqenk3UtAIBV8/v9dysr\nK1f8Q0hYPr/fL1RWVm5azTlwNxoAADCHsAEAAOYQNgAAwBzCBgAAmEPYAAAAcwgbAABgDmEDAADM\nIWwAAIA5hA0AADCHsAEAYEzTtEyPx1OYkZGx0+PxFGqalkkIIZIkCbRuQFEUfqnnczgcZXM9L8uy\n1fgffZ5e22KxbHc4HGX0+smEvdEAABiz2+2Tzc3N90+fPl1A90MjZGbnZVmW82pra4OJG2TOZaE6\naK/Xm19SUjJZV1cX1HXdVFVVVU435iwpKYlNT09fX9tvtTwIGwCANPGnQIocOnSo2Pi8ruum48eP\nPxcOh39LyMzGn4ODg7dS8iHngbABAFhHVFXlfD4fV1paGhsZGTE7nc4w7cFZ6D02my0my7LVarVO\nXbt2jXO73UH6vlAoZKLHent7Lc3NzffnK1hjBWEDAGnv8MeHbSPBES6Z1yy1lkabv9u87IZQusU/\nNTY2ZqZ/1jQt85133im8cuXK7T89Fdm6deuWxUYpIyMjZk3TuJqamrAgCHFRFKMvvPDCFtrC2dDQ\noNNwEQQhXlVVVZ7skQ/CBgAgiWiZGSXLch79c0dHh7WysvKpMrPnn38+pijK10rPjEpLS2NFRUUx\nY6CMj4+bNU3LtNvtk8ZRjCiKUU3TOFohvXbfbGEIGwBIeysZYaSLiYkJUzAYXPDv6vLy8ljiczzP\nxwmZmWKrr68vThzJJHsaDbc+AwCsE263O+j3+5+aDpyYmNhQU1OzYH203W6ftFgscV3XTYTM3DBg\ns9lidrt9sqKiIlZXV/eIvlZRFH7Pnj1Ja+ikMLIBAGBM07TMEydO5BHyVU2z3W6flCRJGBsbM3d1\ndVnLyspioihG33nnnfv0NubR0dHMCxcujNJRyEJ10BcuXBg9fPhwQUlJSWx0dNR84cKFUUJmRjCl\npaUxulY0OjpqPn/+/L1k/z9ALTQApBXUQicfaqEBACAtIGwAAIA5hA0AADCHsAEAAOYQNgAAwBzC\nBgAAmEPYAAAAcwgbAABgDmEDAADMIWwAAIA5hA0AAGOqqnIej6cwIyNj5969ezfT52VZtmZkZOx0\nu93FmqZlLuVcDoejbK7zK4rCy7Jsnetcsixbjf+t/hstHzbiBABgTBTFqCiK0YmJiQ13796dDYKy\nsrLYe++9N7xQVw2lKAo/MjJi7u/vtyQeczqd5Xfu3PmdIAjxQCBg2rdvXwmtFKCbetbV1QV1XTdV\nVVWV19XVJX3XZ4xsAACSpKOj497Y2JhZkiRB13WTz+fjlhI0hBDicrkiicVrFA0aQgjJzc2d7anR\ndd10/Pjx52i4CIIQT3ZDJ4WRDQCkvf/3f5pssdu3k1oLbS4ri/6vn7cuu7Stt7d3eNeuXfbR0VHz\nqVOnPks8Tkcwubm58atXr3JzvSaRsQjtzJkzQmtr6zghM9NrNpstJsuy1Wq1Tl27do2j9QbL/dyr\nhbABAEgiu90++eqrrwbff/99a2KQaJqW+c///M8FV65cuU0IIYFAwOT1evNbWloeLHZeTdMyOzo6\nrLt3757tuBkZGTFrmsbV1NSEBUGIi6IYfeGFF7aMjY0NsPl280PYAEDaW8kII1U0Tcusra19fPfu\n3UyPx1NoDJyOjg5rdnZ2XFEUnpCnp8QWY7fbJ1taWh5IkiQ4HI6yK1eu3C4tLY0VFRXF6MhHEIT4\n+Pi4WdO0zGSPbhA2AABJ1NHRYW1paXkgimJ08+bN3za2bRJCiNVqjS91HYeQr0Y0dPRz4MCB4KFD\nh4o1TcssLy+PJb6e5/klB9hawg0CAABJYpwSEwQh3tbWdu/NN98s0XXdRAghbrc76Pf7n1p7oqOc\n+QwPD5sDgcDswGFoaMjM83zcbrdP2u32SYvFEqfn13XdZLPZYlizAQD4BpJl2drV1WUdGBh4aoHe\narVORSIRU1VVVXljY+P9urq6YGtr67jX681/8cUXo8FgcAO9k0xVVa6np4cnhBCPx1NIR0QulysS\nDAY3SJIkEEJIX1+f5eLFi8P02hcuXBg9fPhwQUlJSWx0dNR84cKF0VT8P8iYnp5OxXUBAFbE7/ff\nraysnPMWYGDD7/cLlZWVm1ZzDkyjAQAAcwgbAABgDmEDAADMIWwAAIA5hA0AADCHsAEAAOYQNgAA\nwBzCBgAAmEPYAAAAcwgbAIAkUFWV83q9+ZIkCZIkCYqi8HSLmZWaqyKa1k9bLJbtDoejbL66abfb\nXbyaay8X9kYDAGBM13VTa2trwQcffHCHPuf1evNXer6FKqJLSkpi09PT1xd7f2dnp9DR0XFvpZ9h\nuTCyAQBgbGhoyPzpp5+ajc81NDToOTk5K9ruf6GK6MXoum4SBCGe7KoBhA0AAGOiKEbD4bBp7969\nm2llgCAIcRoYiqLwNpttG51eUxSFd7vdxZqmZdLptqWOhEKhkEmWZauiKLzH4ymk9QJUd3e3RRTF\n6Np/y4Vh12cASCtz7frc98tbtsef/Z6b7z0sbCz8VvRv3tyy5IZQXddNhw8fLnj//fet4+Pj5j17\n9gSN02oej6dwYmJiA53a2rp16xZaO0AIIRaLZXs4HP6t8ZwZGRk7E6fM6MiFkJl1ovr6+uLBwcFb\nhMyEmiiKUUEQ4nOdbz7Y9RkAIE0IghA/derUZ2NjYwOPHj36LSFfX6TfsWPHE/rn7OzsqbKysq81\nbS7lOvTPoihGNU3jdF030RAyHk8m3CAAAGlvOSOMVFBVldu4ceMULU0TBCF+/vz5e1VVVeVrfR3j\nSIYSBCEuy7I1EAiYfD4fRwghkUjEJEmS4HQ6w8lo7kTYAAAwNtfdaENDQ+ZXXnklvJbXqaioiNXV\n1T2ijxVF4ffs2RMkhBA6HUcdOnSoeKU3GayE6ac//WmyrgUAsGoPHjxoKCgoSPoC92rour7hueee\n+2NfX9+3/vu//9vc19f3rYGBgWf+7//9v58TMjMi+Zd/+Zf8//mf/zF/5zvf+f3HH3/Mtbe3509M\nTPxFVVXV70+ePJn7/vvvW6empr7cvXv3E1VVuV/84hcbP/roI8uDBw/+YmpqilRUVExyHDf98OFD\n0/vvv2+5cuUK91//9V9ZJ06c+IzjuGnDZzH9/Oc/f/ajjz6yTE1NfVlQUPDHvLy8BafWHjx4wBUU\nFBxbzf8D3CAAAGkFtdDJhxsEAAAgLSBsAACAOYQNAAAwh7ABAADmEDYAAMAcwgYAAJhD2AAAAHMI\nGwAAYA5hAwAAzCFsAACAOYQNAABjqqpyHo+nMCMjY6fH4ynUNC1zOe93OBxlyzmmqiqnKAovy7KV\nlrCt5HOvJez6DADAmCiK0YqKitjp06cLTp069dlS36coCj8yMmLu7++3LOeY0+ksv3Pnzu8EQYgH\nAgHTvn37ShJrB5INIxsAgHXK5XJF5qsBWOgYDRpCCMnNzU1JWVoijGwAIO31njpm08fuJbUWWrAV\nR6s9DSsubVMUhT948GDx22+/fb+0tDQWDAY3XLp0yUJroVf12QxtnGfOnBFaW1vHV3vO1cLIBgAg\nBVwuV+TVV18N3rhxI8vlckXq6uqCfr+fW6v1FU3TMr1eb/7u3bvDLpcrshbnXA2MbAAg7a1mhJFq\nO3bseEL/nJ2dPfX48eMNhJBV1zTb7fbJlpaWB5IkCQ6Ho+zKlSu3V3vO1cDIBgDgG4SOaOjjAwcO\nBPv7+y2pviMNYQMA8A0yPDxsDgQCs7NWQ0NDZp7n43a7fdWjpdXANBoAAGOapmWeOHEijxBCvF5v\nvtvtDj5+/HjD5cuXLX6/f8rpdIaHh4fNAwMDWSdPnsyrqKgYFwQhrqoq19PTwxNCiMfjKayurp5d\nf5nvmMvligSDwQ2SJAmEENLX12e5ePHicKq+O5UxPT2d6s8AALBkfr//bmVl5Zy3/AIbfr9fqKys\n3LSac2AaDQAAmEPYAAAAcwgbAABgDmEDAADMIWwAAIA5hA0AADCHsAEAAOYQNgAAwBzCBgAAmEPY\nAAAAcwgbAADGNE3L9Hg8hRkZGTs9Hk8h3YFZ07RMt9tdvHXr1i2KovCEzOx5JkmS4PV68/fu3bvZ\nuFuzqqqcoii8LMtWt9tdbDxGz2+xWLY7HI6yVO/ynAgbcQIAMGa32yebm5vvnz59uuDUqVOfGZ8/\nfvz4eHd3t8XlckV0XTf5fD6O1j0risJXV1eXj42NDRBCiNPpLKeVz4FAwLRv376SwcHBW4QQUlJS\nEpuenr6emm+4OIxsAABSyFjhPDQ0ZG5rayugj0VRjI6Pj5t1XTcRQggNGkIIyc3NjX/9bOsXRjYA\nkPYe/8ew7Y/3n3DJvOZfFmRFN/5d+Zo2hIqiGO3t7Z2tA1BVleN5Pk4DxhhMZ86cEVpbW8fp41Ao\nZJJl2Wq1Wqd6e3stzc3N942vTzWEDQDAOmIsOWtvb89ra2u7ZzyuaVpmR0eHdffu3bPdNoQQ0tDQ\noBtDqaqqqpxOsa0HCBsASHtrPcJYDyRJEmpra4N1dXVB4/N2u32ypaXlgSRJgsPhKLty5cptQp4e\n9YiiGNU0jdN13bReRjdYswEASAL6l37iXWKqqnJlZWUx43OKovClpaUxY9Bompbp9Xrz6eMDBw4E\n+/v7LZqmZaqqym3dunXLfNdcDxA2AABJ8uMf//h+R0eH1fhcT08PL4pilD5WVZUTBCFOp8hkWbYS\nQsjw8LA5EAjMzkYNDQ2ZeZ6P2+32yYqKilhdXd0jekxRFH7Pnj1PjYhSDbXQAJBW0r0Wmo5OcnJy\n4oTMjFCMo55du3bZI5GIib6+qKgoRm99lmXZGggETIQQ0tfXZ2lqarpPg0pRFH5kZMRMCCGjo6Pm\ntbxBYC1qoRE2AJBW0j1s0tFahA2m0QAAgDmEDQAAMIewAQAA5hA2AADAHMIGAACYQ9gAAABzCBsA\nAGAOYQMAAMwhbAAA1gFFUXiv15u/3ho21wp2fQYAYEzTtMwTJ07knT59uqCpqWk8JycnHgqFTHfu\n3Hmmtrb2scvlirhcrkh7e3teSUnJpLFmwEhVVc7n83GhUMh0/fr1rKNHj47T19LqgRdffDF67do1\nzlg5oKoq19PTw5eUlExevXqVS0XXDcIGAIAxYy10S0vLA+Mxi8Wy/eLFi8OiKEY3bdoUm+8ci1VG\nGyuiRVGMvvHGG8UffPDBHV3XTfv3799MX/fyyy8/eeutt4o6OjruzXctFjCNBgCQQjabLdbT08Mv\n9rqFKqNVVeWys7On6DFBEOIff/yxhRBCuru7LTabbTbE7Hb7ZGdnp7DW32MxGNkAQNpTFMX28OHD\npNZCP/vss1GXy7Wq0jZN0zLD4bCpoaFhdmPRq1evclardYoQQozTYQtVRt++fducnZ391LRYdnb2\nlKqqnNVqnZqYmPja3/WapmXON13HAsIGACCJaD8NrQq4efPmLeP6SUlJScxY90ynwwiZvzKanmsu\nLpcr0tTURGhrp6IoPCGEPH78eAMhBGEDALBUqx1hJFNizXOi3Nzc2eBxuVyR14fyrM0AAB89SURB\nVF57rTzxNYmV0bm5ufGJiYmnAsc4mhkcHLwly7K1rKwsVl5eHiOEkIqKinnXh1hA2AAApBFaGW0c\n/ZSVlcXmmiozNoDSYNI0LbOoqCiW7LvRcIMAAMA6Mjo6Ovs7G0VR+P3798+u58xXGW0MFUJmAuW7\n3/1umD62WCzb6Z9PnDiR97Of/ewzlt9hLhjZAAAwRn9nQwghHo+n8ODBg4/mWpzPzc2devHFF6OK\novDBYHDD6OhoJr1FWdO0TKfTWZ5YGU1HLO3t7fe8Xm8+/Z3N+fPnZ29tPnLkyDitlH7ppZeii03l\nsYBaaABIK6iFTj7UQgMAQFpA2AAAAHMIGwAAYA5hAwAAzCFsAACAOYQNAAAwh7ABAADmEDYAAMAc\nwgYAAJhD2AAAMKZpWqbH4ynMyMjY6fV68yVJEiRJEtxudzHd34zaunXrFloDQMjMfmiSJAlerzd/\n7969mzVNy0w8v8PhKEt8jl7PYrFsdzgcZXO9L5mwNxoAAGML1ELrGRkZO61W6zDdXPPChQujdN+0\nxaqgFUXhR0ZGzP39/ZbEa5aUlMSmp6evJ+HrLQlGNgAAKWS326PXrl3jDI9nN+hcqAqakJm+GxpE\n6x3CBgAgRVRV5Yy10Kqqclu3bt0iSZJAyEy4zFcFvdi5Q6GQSZZlq6IovMfjKaQBlSqYRgOAtKfd\n+gfbk98Pc4u/cu1kfas8at/yT8tuCKXrMcFgcENXV5e1s7PzDg0PURSjr7zyStj4+vmqoBfT0NCg\n0/MKghCvqqoqHxwcvLXcz7tWEDYAAElkbNisq6sLOhyOsh/96Ee6oeJ5aq73JVZBL8Y4+hFFMapp\nGqfruinZDZ0UwgYA0t5KRhjrxeuvvx48cuRI4UIhMlcV9EJUVeXq6+uLE0cyqQoaQrBmAwCQUn19\nfZZt27ZF5zs+XxX0QioqKmJ1dXWP6GNFUfg9e/YkvZ3TCCMbAADGjLXQXq83PycnJ04IITdu3Miy\nWq1xWv2sqir33nvvbczOzp5yOp1hQghZqApaVVWup6eHJ2TmdzXV1dVhl8sVEQQhXlpaGqM3GoyO\njpqNNdGpgFpoAEgrqIVOPtRCAwBAWkDYAAAAcwgbAABgDmEDAADMIWwAAIA5hA0AADCHsAEAAOYQ\nNgAAwBzCBgAAmEPYAAAAcwgbAADGNE3L9Hg8hRkZGTu9Xm++JEmC1+vNd7vdxbTfZjGqqnL0fXv3\n7t2saVpm4mscDkdZ4nP0uhaLZbvD4Sib633JgI04AQAYs9vtk83NzfdPnz5d0NLS8sB4zGKxbL94\n8eKwKIrz7vys67rJ5/NxtAJaURS+urq6fGxsbIA+HhkZMff391sS31tSUhKbnp6+vtbfabkwsgEA\nSCGbzRajOzfPZ2hoyNzW1lZAH4uiGB0fHzfTqmeXyxWhQbReYWQDAGmv4dantqEnXyS1Froi65no\nsS3Pr6q0TdO0zHA4bGpoaNAJmZkq8/l8XGlpaWxkZMTsdDrDdrt9UhTFaG9v7zB9n6qqHM/z8aWU\noYVCIZMsy1ar1TrV29traW5uvp+KEjWEDQBAEtHys0AgYCKEkJs3b94SBCGuaVrmO++8U3jlypXb\nf3ppZOvWrVto26bdbp+k52hvb89ra2tbUj9NQ0ODTsNFEIR4VVVVeWKDZzIgbAAg7a12hJFM89U/\nd3R0WCsrK59at3n++edjiqLwxjpoSZKE2tra4EI10kbGUYwoilFN0zhd103JHt1gzQYAYJ2amJgw\nBYPB2UGBoih8aWlpbKlBo6oqt3Xr1i2Jz6diGg1hAwCwDrjd7qDf739q3WliYmJDTU1NmJCZ4BAE\nIU5HOXQ6biEVFRWxurq6R/Sxoij8nj17lhRUaw3TaAAAjGmalnnixIk8QmZ+93Lw4MFHxjUYQmbW\nZN555537Xq83v6SkZHJ0dDTzwoULo3Q9x+l0lkciERN9fVFR0ewIR1VVjt7R5vF4Cqurq8Mulysi\nCEK8tLQ0JkmSQAgho6Oj5vPnzy9prWetZUxPT6fiugAAK+L3++9WVlau69t8v2n8fr9QWVm5aTXn\nwDQaAAAwh7ABAADmEDYAAMAcwgYAAJhD2AAAAHMIGwAAYA5hAwAAzCFsAACAOYQNAAAwh7ABAEgy\nRVF4r9ebP9/xxOrmdK+EJgR7owEAJJ0gCPFz587lJVZEEzITLLdv3zbTvdO+CZXQhGBkAwCQVLqu\nmyoqKmLbtm2LKorCJx5rbW0tMD73TaiEJgRhAwCQVENDQ2ZBEOL19fWP2tvb84zHVFXlJiYmTJcu\nXbJIkiRompa5FpXQiqLwHo+nkAZUKmAaDQDS3qH/8NuG70e4xV+5dsoL+Oi7f1e54oZQl8sVefPN\nN0uMrZkulyvS1dW18fvf/37YWJCW7pXQhCBsAACSRlVVzufzcT6fjyOEkG3btj05e/asdanTYOla\nCU0IwgYAvgFWM8JIJl3XTcZg2bVrV3T//v2b5wsbVVU5URSjhHxVCU2bOhejqipXX19fnDiSSUXQ\nEII1GwCApAkGg0/9A18UxejExMQGVVVnpwCzs7OnAoGAiZCZcCIk/SuhCUHYAAAwp6oq53A4ys6c\nOSMYF+np3Wj19fXFNEAOHjz46MaNG1myLFvLy8tjtBL6e9/73paMjIydGRkZO48cOVJoPDf9zY7H\n4ymk5zRWQkuSJPT29lpSVQlNCGqhASDNoBY6+VALDQAAaQFhAwAAzCFsAACAOYQNAAAwh7ABAADm\nEDYAAMAcwgYAAJhD2AAAAHMIGwAAYA5hAwAAzCFsAACSTFEUnu5nNhdN0zKNj1VV5SRJErxeb/7e\nvXs3Jx4nhBCHw1GW+BzdN02WZSvK0wAA/swIghA/d+5cXktLy4PEY6qqcrdv3zbTwjRd100+n4+j\nNQSKovDV1dXlY2NjA/TxyMiIub+/32I8j67rpv3792+mr3v55ZefvPXWW0UdHR0p2YwTIxsAgCTS\ndd1UUVER27ZtW5Tu0Gw81traWmB8bmhoyNzW1jb7nCiK0fHxcTMdpbhcrshcfTjd3d0Wm80Wo4/t\ndvtkZ2ensPbfaGkwsgGA9Kf8bxt5qCW1Fpo8a48S178su7RtaGjILIpitL6+/lF7e3uesQxNVVVu\nYmLCdOnSJUsgEDA5nc6wKIrR3t7eYeNreJ6PL1aCZrVapyYmJr72d7ymaZnGmulkwcgGACAFXC5X\n5OOPP7YY11FcLldk06ZNk9///vfDjY2NOg0FYzi0t7fntbW1LToVRkOMnp+Ooh4/fpySQQZGNgCQ\n/lYwwkgFVVU5n8/H+Xw+jhBCtm3b9uTs2bPW+WqhE0mSJNTW1gbr6uqW1Lg5ODh4S5Zla1lZWay8\nvDxGyEyD58q/wcohbAAAkkTXdZMxWHbt2hXdv3//5vnCRlVVThTFKCEzI5PS0tKYcdptKWgwaZqW\nWVRUFFts+o0VTKMBACRJMBh86h/4oihGJyYmNqiqOrvelJ2dPRUIBEyEfDUFpqoqJwhCnAYNrZBe\njMVi2U7/fOLEibyf/exnn63F91gJhA0AAGOqqnIOh6PszJkzgnGNhq6j1NfXF9MAOXjw4KMbN25k\nybJsLS8vj2malul0Osu/973vbcnIyNiZkZGx88iRI4XGc9Pf7Hg8nkLjHW5HjhwZl2XZKkmS8NJL\nL0WXOv3GQsb09HSqrg0AsGx+v/9uZWXlktY4YG34/X6hsrJy02rOgZENAAAwh7ABAADmEDYAAMAc\nwgYAAJhD2AAAAHMIGwAAYA5hAwAAzCFsAACAOYQNAAAwh404AQAY0zQt88SJE3mnT58uaGpqGs/J\nyYkTQsiNGzeyvF7v58vpl6E7R4dCIdP169ezjh49Op74fofDUXblypXbie/r6enhS0pKJq9evco1\nNzffT+amnAgbAADG7Hb7ZHNz8/3Tp08XGKugVVWNbt269duPHj367VL+4k/nimhMowEApAitDzDu\n+ryQdK6IRtgAAKSILMvW/fv367Q6QFEU3mazbZMkSVAUhZdl2ep2u4vp61lURK/l91kIptEAIO0d\n/viwbSQ4sqTRwVoptZZGm7/bvOyGUFoB0NXVtXHz5s1fGKeyXC5XpLe3N3jjxo0sOkKRJKlA07TM\n1VZENzU1EV3XTYIgxBMqope8XrQaGNkAACSRy+WKuFyuSEdHx70PP/zQQrtojHbs2PGE/jk7O3vq\nT6HwlJVURHd3d1tUVeVSURGNkQ0ApL2VjDDWg927d4c//PBDCyHkwaIvNkjHimiMbAAAUiQnJyc+\nMDCQRchXFdCLSdeKaIxsAAAY03XddOzYMYGQmemvAwcOBAVBiDc2Nuq/+tWvrJIkCbm5ufGysrLY\n5cuXLX6/f8rpdIaHh4fNAwMDWSdPnsyrqKgYf/jwocnpdJZHIpHZYCoqKorREQv9LQ0hMxXR1dXV\nYRpKtCI6EAiYUlERjVpoAEgrqIVOPtRCAwBAWkDYAAAAcwgbAABgDmEDAADMIWwAAIA5hA0AADCH\nsAEAAOYQNgAAwBzCBgAAmEPYAAAAc9gbDQCAMU3TMltaWp7r7OwUmpqaxnNycuKEEDI6Omo+ffp0\nwfT09PW53qeqKufz+bhQKGS6fv161tGjR8dpn81ix3RdNwWDwQ2XLl2yeL3ez409OKmAsAEAYMxu\nt08eP358vLOzU2hpaXmqTuCll16KGsvRKF3XTT6fj6Mlaoqi8NXV1eVjY2MDCx0jhBCn01l+586d\n3wmCEA8EAqZ9+/aVDA4O3krW950LptEAAFKAVgrU1NSEh4eHzYnHh4aGzG1tbQX0sSiK0fHxcbOu\n66aFjhFCCA0aQgjJzc1NWmfNQhA2AAApQCsHaCjYbLZtkiQJsixb9+7du1kUxWhvb+8wfb2qqhzP\n83FBEOILHTOekxBCzpw5I7S2to4n75vNDdNoAJD2/t//abLFbt/mknlNc1lZ9H/9vHXZDaGSJAmh\nUMh0/Pjx5+iUmsvlinR1dUVu3LiR1dHRca+srCxGyMz0G31fe3t7Xltb2z36eKFjhMysE3V0dFh3\n794dXm6jJwsIGwCAJKLrLImys7OnSkpKYoTMTIsZj0mSJNTW1gbnKjyb75jdbp9saWl5IEmS4HA4\nyq5cuXJ7Lb/HciFsACDtrWSEkWoNDQ1fC5251lcUReFLS0tjc41O5jpGRzR01HTgwIHgoUOHiue6\nCSGZsGYDAJACxnWV+aiqygmCEKdhIsuydbFjw8PD5kAgMDuQGBoaMvM8H8etzwAA33CapmWeOHEi\njxBCPB5PYXV19VPrKKqqcpcvX7bcvXvXXFZWFhNFMappWqbT6SyPRCIm+rqioqJYXV1dcKFjLpcr\nEgwGN0iSJBBCSF9fn+XixYvDJMUypqenU/0ZAACWzO/3362srJxz3QPY8Pv9QmVl5abVnAPTaAAA\nwBzCBgAAmEPYAAAAcwgbAABgDmEDAADMIWwAAIA5hA0AADCHsAEAAOYQNgAAwBzCBgAAmMPeaAAA\njNG90U6fPl3Q1NQ0npOTEyeEkBs3bmR5vd7Pl7pJpqqqnM/n40KhkOn69etZR48eHafvXeyYruum\nYDC44dKlS5blXHOtIGwAABiz2+2Tzc3N90+fPl1At/4nhBBVVaNbt2799qNHj3672C7Quq6bfD4f\nR/twFEXhq6ury8fGxgYWOkYIIU6ns5xWRQcCAdO+fftKBgcHb7H8zokwjQYAkCK0JE1V1UVbRoeG\nhsxtbW0FxveOj4+bdV03LXSMEEJo0BAyd2dOMmBkAwBpr++Xt2yPP/t9UmuhNxZ+K/o3b25ZVWmb\nLMvW/fv368a6AUVReEIIGRkZMYdCIRMdCYmiGO3t7Z2tClBVleN5Pi4IQnyhY4Q83Z1z5swZobW1\ndXw1n3slEDYAAElEw6Srq2vj5s2bv+jo6LhnPH7w4MHimzdv3nK5XBG3212sKApPw8i4ztLe3p7X\n1tY2+96FjhHyVYPn7t27w3O1frKGPhsASCvp2mej67opLy9v+/T09HX6nMPhKNu9e3fYuI6j67qp\nu7vbQgghXV1d1r/5m78J07UYSpIkITc3N15XVxdMvM5Cx+jxX/3qV9YrV67cXupnR58NAEAa2717\nd/jDDz+00Me6rpuqqqrKX3755Sd1dXXBTZs2xRLfoygKX1paGpsrTOY6pmlaptfrzaePDxw4EOzv\n77dompbJ4jvNB2EDAJAiOTk58YGBgSxCvhrRZGdnT9EpsYmJiQ2EfDX1pqoqJwhCnE6DybJspeea\n79jw8LA5EAjMLpkMDQ2ZeZ6PJ/vWZ0yjAUBaScdpNF3XTceOHRNaW1uL3n333XsHDhwI0kV7h8NR\n9vrrrwdzc3PjNTU14TfeeKO4trY2aLVapwiZWdupra19XF5eHtu1a5c9EomY6HmLiopiY2NjA5qm\nZc53jJCZ4AkEAiZCCOnr67M0NTXdp3fCLcVaTKMhbAAgraRj2KQ7rNkAAEBaQNgAAABzCBsAAGAO\nYQMAAMwhbAAAgDmEDQAAMIewAQAA5hA2AADAHMIGAACYQ8UAAECSKYrCX7t2jTPu9ryYlVZCWyyW\n7cZtbAghpKmpaXw5114LCBsAgCQTBCF+7ty5vKX+hb/SSmhd102//OUvR439NV6vNz/ZQUMIptEA\nAJJK13VTRUVFbNu2bVG6m/NiVlMJbQwaWZatbrd7zp4b1jCyAQBIoqGhIbMoitH6+vpH7e3teYmt\nmaqqcj09PfyLL74YDQaDG2pqasKrqYSmdF03BQIBU7KrBSiEDQCkvd5Tx2z62D0umdcUbMXRak/D\n2Erf73K5Im+++WaJrusmGgy6rpvq6+uLBwcHbxEyM+V17NgxoaWl5cFqKqEJIeTw4cMFzc3N91f6\neVcLYQMAkCR0Id/n83GEELJt27YnZ8+etdL1lrNnz1orKytne2bmWluRJEmora0NzlcJPd+xy5cv\nWwRB+Gxtv9HSIWwAIO2tZoSRTLqum2iwEELIrl27ovv3799sfG4htPY5ceptKceys7OnVvfpVwc3\nCAAAJEkwGHzqH/iiKEYnJiY2qKrKEULIgQMHgh999NFTNw2sphKaunbtGpednf3UGk6yYWQDAMCY\nqqrcO++8U0gIITU1NWG6RkODpL6+vrixsfF+XV1dsLOz847H4ymsrq4O0xsENE3LdDqd5Ym1z3V1\ndcGFjhk/w6ZNm2LJ+bZzQy00AKQV1EInH2qhAQAgLSBsAACAOYQNAAAwh7ABAADmEDYAAMAcwgYA\nAJhD2AAAAHMIGwAAYA5hAwCwTqiqynm93ny6fc03CbarAQBgTJZlqyRJBa+99trjnJyceFtbW4HN\nZou9/vrrwVAoZDp37lxeb2/vsCiK0ZMnT+b5fL64KIrRuc6VrvXQCBsAAMYCgYDpN7/5zTDdE62v\nr8+yadOmGN3tec+ePZHHjx9vIIRMLrQ7czrXQ2MaDQCAsdzc3K81ZxqJohilNc4LSed6aIxsAAAY\nm6vMLJExDEKhkElRFD4YDG64dOmSpaOj4x4hMwGSrvXQCBsASHuP/2PY9sf7T5K6qP6XBVnRjX9X\nzqS07c6dO8/QKS5Jkgo0Tcuk4ZCu9dCYRgMAWGd27NjxhP45Ozt76k/rOU9ZZT100ovUMLIBgLTH\naoSxXqVjPTRGNgAAaSRd66ExsgEASBJVVbmenh5+YGCA+/TTT82SJMWcTmfY+DuZy5cvW/x+/5TT\n6QwPDw+bBwYGsk6ePJlXUVEx/vDhQ1O61kOjFhoA0gpqoZMPtdAAAJAWEDYAAMAcwgYAAJhD2AAA\nAHMIGwAAYA5hAwAAzCFsAACAOYQNAAAwh7ABAADmEDYAAOuEqqqc1+vNV1U1qXUJyYCwAQBgTJZl\n69atW7d4vd58SZIEm822zeFwlEmSJHi93nybzbZN07RMURSjd+7cecbn882GjaqqHH3d3r17N2ua\nlkmPaZqW6fV68xVF4b1eb76x7dPj8RRmZGTstFgs2x0OR5nxfamAjTgBABgLBAKm3/zmN8O0R6av\nr8+yadOmWGNjo04IIXv27In8qbNmcvPmzV/Q9+m6bvL5fBx9naIofHV1dfnY2NgAIYTs27evZHBw\n8BYhMy2eb7zxRvEHH3xwhxBCSkpKYtPT09eT/FXnhZENAABjubm5X6tnNhJFMWoclVBDQ0Pmtra2\nAuPrxsfHzbqum1RV5YzdNIIgxD/++GPL2n/6tYGwAQBgbK7GzERzlZ2Johjt7e0dpo9VVeV4no8L\nghC/ffu2ObGbJjs7e4qu94RCIZMsy1ZFUXiPx1M4V5glE6bRACDtKYpie/jwYVIX1Z999tmoy+Vi\n3hBKu24IIaS9vT2vra3tHiEzU3MLva+hoUGnoylBEOJVVVXldMotFTCyAQBIA5IkCbW1tUE6SsrN\nzY1PTEw8FTgTExOzAwjjtJ0oilFN07hUjm4wsgGAtJeMEUYqKYrCl5aWxoxTbWVlZTFjuFCiKEZV\nVeXq6+uLE0cyC60bsYaRDQDAOqaqKicIQpwGjSzLVkJmQsX4Ok3TMr/73e+GCSGkoqIiVldX94ge\nUxSF37Nnz6LrRixhZAMAkCSqqnI9PT38wMAA9+mnn5olSYo5nc4wXZdRVZV77733NmZnZ085nc4w\nIYQ4nc7ySCQyO/1VVFQUo1Np7e3t97xeb/6LL74YvXbtGnf+/Pl7hMyMYEpLS2OSJAmEEDI6Omqm\nx1IlY3p6OpXXBwBYFr/ff7eyslJP9ef4c+L3+4XKyspNqzkHptEAAIA5hA0AADCHsAEAAOYQNgAA\nwBzCBgAAmEPYAAAAcwgbAABgDmEDAADMIWwAAIA5hA0AQBKoqsrRWmhJkgRFUXi6ncxyOByOsuUc\nWy/10NgbDQCAMV3XTa2trQW0spkQQrxeb/5yzqEoCj8yMmLu7+//WhvnQsfWSz00RjYAAIwNDQ2Z\nP/30U7PxuYaGBj0nJ2fJW/67XK5IY2PjnHvCLXRsvUDYAAAwJopiNBwOm/bu3btZURSekJmdmWlA\nKIrC22y2bXR6TZZlq9vtLl6La6+XemhMowFA2tNu/YPtye+Hk1oLnfWt8qh9yz8tubTt5s2btw4f\nPlxw8ODB4tdee828Z8+eIJ1Wc7lckd7e3uCNGzeyaABJklSgaVqmsRZ6JdZLPTRGNgAASSAIQvzU\nqVOfjY2NDTx69Oi3hBCSOHrZsWPHE/rn7OzsqcePH696QLBe6qExsgGAtLecEUYqqKrKbdy4cYqO\nUgRBiJ8/f/5eVVVVOevrrpd6aIxsAAAY03Xd9JOf/KTI+NzQ0JD5lVdeCbO87nqqh8bIBgCAMUEQ\n4rW1tUFJkoTc3Nx4IBAwhUIh06lTpz4jZGYEcvnyZYvf759yOp3h4eFh88DAQNbJkyfzKioqxgVB\niNNKaUJmfjtTXV0ddrlcEfr+uY6tp3po1EIDQFpBLXTyoRYaAADSAsIGAACYQ9gAAABzCBsAAGAO\nYQMAAMwhbAAAgDmEDQAAMIewAQAA5hA2AADAHMIGAGCdkmXZ6vV681PVQbOWEDYAAIxpmpbp8XgK\nMzIydsqybDU+73a7i7du3bqFlqoZ1dXVBc+dO5f38OHDr4WNw+EoW+iaC5WvrVUx23IgbAAAGLPb\n7ZPNzc3333333Xtvv/12saZpmfT5jo6Oe42NjffpppqJLBbLU3UAiqLwkiQJ/f39lvmupygK39nZ\nKSz3GEsIGwCAJNm1a1f0rbfe+nzfvn0lKz2Hy+WK0DbPuei6bhIEIc7z/Nc6axY6xhrCBgAgiVpa\nWh4QQojX682f67iqqpzX681XFIWXZdkaDoeXtV7T3d1tEUUxutxjrKHPBgDSXsOtT21DT77gknnN\niqxnose2PL+ihtALFy6M7tq1y+52u4O0vZOQmZFHYrPmkSNHCpd6XkVR+JqamjkL2RY6lgwY2QAA\nJJndbp88cuTIeHV19VO10GfPnrVWVlY+NfJIXLOZD50im6vyeaFjyYKRDQCkvZWOMFKpsbFR/9Wv\nfmX1eDyFL7300mzABIPBFd3m3N3dbQkEAiafz8cRQkgkEjFJkiQ4nc7wJ598kjXfMePIiiWEDQBA\nEjx8+NCU+HuZX//613c2b9787ZdeeukeIYQcOHAgKMtynvE1S12zqaurCxofHzp0qJjeSJAYKMZj\nyWL66U9/mszrAQCsyoMHDxoKCgpSssi9UpqmZf7kJz8p+vDDDy1//dd//cXzzz//R0II4ThuesuW\nLU+++OKLv3jhhRe+4DhuurCwMPZv//Zv1nA4/Bf9/f1Z//mf/2n57W9/+1d79uwJcxw3raoq94tf\n/GLjRx99ZHnw4MFfTE1NkYqKiqfWfX7+858/+9FHH1mmpqa+LCgo+GNeXl58sWMLefDgAVdQUHBs\nNf8PMqanp1fzfgCApPL7/XcrKyuT+q/yP3d+v1+orKzctJpz4AYBAABgDmEDAADMIWwAAIA5hA0A\nADCHsAEAAOYQNgCQbr788ssvM1L9If5c/On/9ZerPQ/CBgDSSkZGxv0//OEPz6T6c/y5+MMf/vBM\nRkbG/dWeB2EDAGllamrqH+/evZv55MmTv8IIh50vv/wy48mTJ3919+7dzKmpqX9c7fnwo04ASDs3\nbtyo3rBhw/83PT1dQPCPZla+zMjIuD81NfWPO3bs6F3tyRA2AADAHP5FAAAAzCFsAACAOYQNAAAw\nh7ABAADmEDYAAMDc/w8wNpWM6n8kUwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb016381978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nuc = 'Cf255'\n",
    "ouc = 'Pb207'\n",
    "print(nuc + ' -> ' + ouc + '\\n')\n",
    "print('CRAM\\n', crammeds[nuc][ouc])\n",
    "print('Bateman\\n', batemans[nuc][ouc])\n",
    "differs = batemans[nuc][ouc] - crammeds[nuc][ouc]\n",
    "print('Diff\\n', differs)\n",
    "plt.hist(np.abs(differs), bins=np.logspace(-32, 0, 33), log=True)\n",
    "plt.xscale('log')\n",
    "plt.axis([1e-32, 1, 1e0, 1e5])\n",
    "plt.xlabel('Difference, $\\\\left|b - r_{k,k}\\\\right|$')\n",
    "plt.ylabel('Count')\n",
    "plt.figure()\n",
    "bateman_diff_plot(nuc, batemans=batemans, crammeds=crammeds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "for ouc in batemans[nuc].keys():\n",
    "    value = crammeds[nuc][ouc]\n",
    "    if np.all(value == 0.0):\n",
    "        print(nuc, ouc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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