Comparison with VIRGA [ExoJAX]

amclouds_comparison_with_VIRGA.ipynb

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   "source": [
    "# Comparison of the ExoJAX AM cloud model with VIRGA \n",
    "\n",
    "March 9th in 2024, Hajime Kawahara"
   ]
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   "cell_type": "markdown",
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   "source": [
    "Here, we try to compare our cloud implementation using Ackerman and Marley Model with VIRGA.\n",
    "We consider the enstatite (MgSiO3) cloud.  \n"
   ]
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   "source": [
    "import jax.numpy as jnp\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import virga.justdoit as jdi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
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   "source": [
    "# set common values\n",
    "from exojax.utils.astrofunc import gravity_jupiter\n",
    "fsed = 3.0\n",
    "gravity = gravity_jupiter(1.0,1.0)\n",
    "mu=2.2\n",
    "\n",
    "import virga.justplotit as jpi\n",
    "import astropy.units as u\n",
    "fsed = 3\n",
    "miedir = \"/home/kawahara/exojax/documents/tutorials/.database/particulates/virga\"\n",
    "#miedir = \"/home/exoplanet01/exojax/documents/tutorials/.database/particulates/virga\"\n",
    "#miedir = \"/home/exoplanet01/exojax/tests/integration/comparison/clouds/.database/particulates/virga\"\n",
    "a = jdi.Atmosphere([\"MgSiO3\"], fsed = fsed, mh=1.0, mmw=mu)\n",
    "a.gravity(gravity=gravity, gravity_unit=u.Unit('cm/(s**2)'))\n",
    "a.ptk(df = jdi.hot_jupiter())\n",
    "all_out = jdi.compute(a, as_dict=True, directory = miedir)\n",
    "\n",
    "pressure = all_out[\"pressure\"]\n",
    "temperature = all_out[\"temperature\"]"
   ]
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   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#comparison w/ kawashima's vapor pressure code\n",
    "def T_MgSiO3(P,metaldex):\n",
    "    return 1e4 / (6.26 - 0.35 * np.log10(P) - 0.70 * metaldex) # Visscher et al. (2010)\n",
    "def T_MnS(P,metaldex):\n",
    "    return 1e4 / (7.447 - 0.42 * np.log10(P) - 0.84 * metaldex) # Morley et al. (2012)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setting a simple atmopheric model. We need the density of atmosphere."
   ]
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   "source": [
    "from exojax.utils.constants import kB, m_u\n",
    "from exojax.atm.atmprof import pressure_layer_logspace\n",
    "\n",
    "#Parr, dParr, k = pressure_layer_logspace(log_pressure_top=-5., log_pressure_btm=4.0, nlayer=100)\n",
    "#alpha = 0.097\n",
    "#T0 = 1200.\n",
    "#Tarr = T0 * (Parr)**alpha\n",
    "\n",
    "mu = 2.0  # mean molecular weight\n",
    "R = kB / (mu * m_u)\n",
    "rho = pressure / (R * temperature)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We import `pdb` as the particulate database class."
   ]
  },
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   "cell_type": "code",
   "execution_count": 5,
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     "name": "stdout",
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     "text": [
      "/home/kawahara/exojax/documents/tutorials/.database/particulates/virga/virga.zip  exists. Remove it if you wanna re-download and unzip.\n",
      "Refractive index file found:  /home/kawahara/exojax/documents/tutorials/.database/particulates/virga/MgSiO3.refrind\n",
      "Miegrid file does not exist at  /home/kawahara/exojax/documents/tutorials/.database/particulates/virga/miegrid_lognorm_MgSiO3.mg.npz\n",
      "Generate miegrid file using pdb.generate_miegrid if you use Mie scattering\n"
     ]
    }
   ],
   "source": [
    "from exojax.spec.pardb import PdbCloud\n",
    "\n",
    "pdb = PdbCloud(\"MgSiO3\", path=miedir)\n",
    "#pdb.generate_miegrid()\n",
    "#pdb.load_miegrid()\n",
    "#print(len(pdb.rg_arr), len(pdb.sigmag_arr))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The solar abundance can be obtained using utils.zsol.nsol. Here, we assume a maximum VMR for MgSiO3 from solar abundance. "
   ]
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   "cell_type": "code",
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   "source": [
    "from exojax.utils.zsol import nsol\n",
    "\n",
    "n = nsol()  #solar abundance\n",
    "MolMR_enstatite = np.min([n[\"Mg\"], n[\"Si\"], n[\"O\"] / 3])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vapor saturation pressures can be obtained using atm.psat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
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   "outputs": [],
   "source": [
    "#from exojax.atm.psat import psat_enstatite_AM01\n",
    "#P_enstatite = psat_enstatite_AM01(temperature)\n",
    "P_enstatite = pdb.saturation_pressure(temperature)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute a cloud base pressure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
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   },
   "outputs": [],
   "source": [
    "\n",
    "from exojax.atm.amclouds import compute_cloud_base_pressure\n",
    "Pbase_enstatite = compute_cloud_base_pressure(pressure, P_enstatite, MolMR_enstatite)\n"
   ]
  },
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   "execution_count": 9,
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      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1003"
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Cr', 'Mg2SiO4', 'MgSiO3', 'MnS']\n"
     ]
    }
   ],
   "source": [
    "from bokeh.io import output_notebook\n",
    "from bokeh.plotting import show, figure\n",
    "from bokeh.palettes import Colorblind\n",
    "output_notebook()\n",
    "\n",
    "metallicity = 1 #atmospheric metallicity relative to Solar\n",
    "\n",
    "#get virga recommendation for which gases to run\n",
    "recommended = jdi.recommend_gas(pressure, temperature, metallicity,mu,\n",
    "                #Turn on plotting\n",
    "                 plot=True)\n",
    "#print the results\n",
    "print(recommended)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The cloud base is located at the intersection of a TP profile and the vapor saturation puressure devided by VMR.\n",
    "\n",
    "It's consistent with VIRGA and Kawashima-san's private code:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:40.518181Z",
     "iopub.status.busy": "2022-10-30T01:22:40.517589Z",
     "iopub.status.idle": "2022-10-30T01:22:41.483689Z",
     "shell.execute_reply": "2022-10-30T01:22:41.483391Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(temperature, pressure, color=\"black\", ls=\"dashed\", label=\"T - P profile\")\n",
    "plt.plot(temperature,\n",
    "         P_enstatite / MolMR_enstatite,\n",
    "         label=\"$P_{sat}/\\\\xi$ (enstatite)\",\n",
    "         color=\"gray\")\n",
    "parr=np.logspace(-3,2,100)\n",
    "plt.plot(T_MgSiO3(parr,0.0),parr,label=\"enstatite (kawashima)\")\n",
    "plt.plot(T_MnS(parr,0.0),parr,label=\"MnS (kawashima)\")\n",
    "\n",
    "plt.axhline(Pbase_enstatite, color=\"gray\", alpha=0.7, ls=\"dotted\")\n",
    "plt.text(500, Pbase_enstatite * 0.8, \"cloud base (enstatite)\", color=\"gray\")\n",
    "\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.e-3, 1.e2)\n",
    "plt.xlim(0, 3000)\n",
    "plt.gca().invert_yaxis()\n",
    "plt.legend()\n",
    "plt.xlabel(\"Temperature (K)\")\n",
    "plt.ylabel(\"Pressure (bar)\")\n",
    "plt.savefig(\"pbase.pdf\", bbox_inches=\"tight\", pad_inches=0.0)\n",
    "plt.savefig(\"pbase.png\", bbox_inches=\"tight\", pad_inches=0.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#for key, val in all_out.items():\n",
    "#    print(key)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "  <div class=\"bk-root\" id=\"1fa4f171-4659-46f1-a8af-019c0e451ad2\" data-root-id=\"1691\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": "(function(root) {\n  function embed_document(root) {\n  const docs_json = 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!== undefined) {\n        clearInterval(timer);\n        embed_document(root);\n      } else {\n        attempts++;\n        if (attempts > 100) {\n          clearInterval(timer);\n          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n        }\n      }\n    }, 10, root)\n  }\n})(window);",
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1691"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "con_mmr = all_out[\"condensate_mmr\"]\n",
    "#con_mmr\n",
    "show(jpi.condensate_mmr(all_out))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute VMRs of clouds. Because Parr is an array, we apply jax.vmap to atm.amclouds.VMRclouds."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:41.495452Z",
     "iopub.status.busy": "2022-10-30T01:22:41.495135Z",
     "iopub.status.idle": "2022-10-30T01:22:41.603339Z",
     "shell.execute_reply": "2022-10-30T01:22:41.603078Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.atm.amclouds import mixing_ratio_cloud_profile\n",
    "from exojax.atm.mixratio import vmr2mmr\n",
    "from exojax.spec.molinfo import molmass_isotope\n",
    "molmass_enstatite = molmass_isotope(\"MgSiO3\", db_HIT=False)\n",
    "\n",
    "MMRbase_enstatite = vmr2mmr(MolMR_enstatite, molmass_enstatite, mu) \n",
    "MMRc_enstatite = mixing_ratio_cloud_profile(pressure, Pbase_enstatite, fsed, MMRbase_enstatite)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100.3887"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "molmass_enstatite"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is the VMR distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:41.610770Z",
     "iopub.status.busy": "2022-10-30T01:22:41.609027Z",
     "iopub.status.idle": "2022-10-30T01:22:42.048810Z",
     "shell.execute_reply": "2022-10-30T01:22:42.048510Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.gca().get_xaxis().get_major_formatter().set_powerlimits([-3, 3])\n",
    "plt.plot(MMRc_enstatite, pressure, color=\"gray\", label=\"MMR (enstatite)\")\n",
    "plt.plot(con_mmr,pressure, label=\"virga\")\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.e-7, 10000)\n",
    "plt.gca().invert_yaxis()\n",
    "plt.legend()\n",
    "plt.xlabel(\"MMR (clouds)\")\n",
    "plt.ylabel(\"Pressure (bar)\")\n",
    "plt.savefig(\"mmrcloud.pdf\", bbox_inches=\"tight\", pad_inches=0.0)\n",
    "plt.savefig(\"mmrcloud.png\", bbox_inches=\"tight\", pad_inches=0.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute dynamic viscosity in H2 atmosphere (cm/g/s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:42.051735Z",
     "iopub.status.busy": "2022-10-30T01:22:42.051446Z",
     "iopub.status.idle": "2022-10-30T01:22:42.058732Z",
     "shell.execute_reply": "2022-10-30T01:22:42.058453Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.atm.viscosity import eta_Rosner, calc_vfactor\n",
    "\n",
    "T = np.logspace(np.log10(1000), np.log10(2000))\n",
    "vfactor, Tr = calc_vfactor(\"H2\")\n",
    "eta = eta_Rosner(T, vfactor)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:42.069516Z",
     "iopub.status.busy": "2022-10-30T01:22:42.062894Z",
     "iopub.status.idle": "2022-10-30T01:22:42.257335Z",
     "shell.execute_reply": "2022-10-30T01:22:42.257637Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(T, eta)\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")\n",
    "plt.xlabel(\"Temperature (K)\")\n",
    "plt.ylabel(\"Dynamic viscosity (cm/g/s)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The pressure scale height can be computed using atm.atmprof.Hatm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:42.260254Z",
     "iopub.status.busy": "2022-10-30T01:22:42.259923Z",
     "iopub.status.idle": "2022-10-30T01:22:42.262257Z",
     "shell.execute_reply": "2022-10-30T01:22:42.261965Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "scale height= 415722.99317937146 cm\n"
     ]
    }
   ],
   "source": [
    "from exojax.atm.atmprof import pressure_scale_height\n",
    "T = 1000  #K\n",
    "print(\"scale height=\", pressure_scale_height(1.e5, T, mu), \"cm\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need a substance density of condensates. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:42.264615Z",
     "iopub.status.busy": "2022-10-30T01:22:42.264328Z",
     "iopub.status.idle": "2022-10-30T01:22:42.278867Z",
     "shell.execute_reply": "2022-10-30T01:22:42.278593Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.atm.condensate import condensate_substance_density, name2formula\n",
    "deltac_enstatite = condensate_substance_density[name2formula[\"enstatite\"]]\n",
    "\n",
    "mu = molmass_isotope(\"H2\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compute the terminal velocity. \n",
    "We can compute the terminal velocity of cloud particle using atm.vterm.vf.\n",
    "vmap is again applied to vf."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:42.281818Z",
     "iopub.status.busy": "2022-10-30T01:22:42.281481Z",
     "iopub.status.idle": "2022-10-30T01:22:42.494043Z",
     "shell.execute_reply": "2022-10-30T01:22:42.494309Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.atm.viscosity import calc_vfactor, eta_Rosner\n",
    "from exojax.atm.vterm import terminal_velocity\n",
    "from jax import vmap\n",
    "\n",
    "vfactor, trange = calc_vfactor(atm=\"H2\")\n",
    "rarr = jnp.logspace(-6, 0, 2000)  #cm\n",
    "drho = deltac_enstatite - rho\n",
    "eta_fid = eta_Rosner(temperature, vfactor)\n",
    "\n",
    "#g = 1.e5\n",
    "vf_vmap = vmap(terminal_velocity, (None, None, 0, 0, 0))\n",
    "vfs = vf_vmap(rarr, gravity, eta_fid, drho, rho)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n",
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
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+tLJIXq+hA012/3LU7VUd6up169V9TXp1X5MsZpPuv2GxrliUG+zQ8TGGTob21HYFNxAAQFhakOfLM0fbe9XV26/kuKggRwQAk1/QB/hs2rRJV1xxhXJzc2UymfTCCy+MuM/69etVVFSkmJgYrVixQtu3bz+ln2EymXTeeedp2bJl+uMf/xigyAEgPJjNJs3Lteor5xTr4ZuXafddF+r5b6zS9y+epaXTUuTxGlr31G5tHlyKGmqmSp5ZWpgqSfqw3qa+fk9QYgCAqWiq5JnkuCiVZPg637dXdQQlBgAINUEvujkcDi1atEjr168/4e1PPvmk1q1bp7vvvlu7du3SokWLdPHFF6ulpcV/n8WLF2v+/PkjvhoaGiRJ77zzjnbu3KkXX3xR//mf/6kPPvhgQl4bAISiCItZSwpT9M3VpXrqayt1+YIcuT2GvvaHndobgnNcpkqeKUiNVa41Rm6PoV01nRP+8wFgqpoqeUaSfwOFbZUU3QBgNEyGYRjBDmKIyWTS888/ryuvvNJ/bMWKFVq2bJl+8YtfSJK8Xq8KCgp0++236wc/+MEp/4zvf//7mjdvnm6++eYT3u5yueRyufzf2+12FRQUyGazKSkp6ZR/HgCEOqfbo5t/t13bKjuUnhCt5/5hlQrT4sb8fHa7XVarNSifq+GeZ9Y9uVvPvV+vb60u1fcunnVazwUAoYo8M3555i97GnT7E+9rbk6SXr7jnNN6LgAIVaeSZ4Le6fZx+vv7tXPnTq1Zs8Z/zGw2a82aNdq6deuonsPhcKi7u1uS1NPTo9dff13z5s076f3vueceWa1W/1dBQcHpvQgACHExkRY99KUyzclJUluPS196+F219bg++YEhINzyzLEOhPaAPScAYOzCLc+sKPaNMjjQZFdXb3/AnhcAwtWkLrq1tbXJ4/EoKytr2PGsrCw1NTWN6jmam5t19tlna9GiRTrzzDP1pS99ScuWLTvp/e+8807ZbDb/V21t7Wm9BgAIB0kxkfr9LcuUa43R0fZe3f74+8EOKSDCLc8MFd321HWpt38gYM8LABibcMszmYkxKsmIl2GwxBQARiPsdy8tLi7Wnj17Rn3/6OhoRUdHj2NEABB6nG6P/rCtWi3dvg63JrtThmHIZDIFObLgm0x5piA1VnnJsarv6tOW8natmZv1yQ8CAExqkynPSNKqknRVtDr01uFWXTI/e9x+DgCEg0nd6Zaeni6LxaLm5uZhx5ubm5WdzQc8AEyEdyvbddnP39b/vl6uAa+hC+dm6YnbzgyLglu45RmTyaQL5mRKkjYebP6EewMAxlu45RlJ+tRgnnn9YLMm0XhwAJiUJnXRLSoqSkuXLtXGjRv9x7xerzZu3KiVK1cGMTIACH+2PrfufO5D3fDQNlW2OpSRGK1f3nSGHvriUmVbY4IdXkCEY565YI6vu23jgRZ5vZwMAUAwhWOeWVmcprgoi5rtLu1rsAc7HACY1IK+vLSnp0fl5eX+76uqqrR7926lpqaqsLBQ69at09q1a1VWVqbly5fr/vvvl8Ph0C233BLEqAEgvL26t1F3/Xmffznp55cX6AeXzpE1NjLIkZ26qZZnzixOVXyURS3dLu1tsGlhfnKwQwKAsDbV8kxMpEVnl6brtf3N2nCgWfPzrMEOCQAmraAX3Xbs2KHVq1f7v1+3bp0kae3atXrkkUd0ww03qLW1VXfddZeampq0ePFivfrqqyOGkQIATo9hGNpd26UH3qzQ3/f7lsEUp8frP69e4B/QH4qmWp6JjrDonBkZenVfkzYeaKHoBgDjbKrlGUlaMydLr+1v1sYDLfrOmpnBDgcAJi2TwUL8j2W322W1WmWz2ZSUlBTscAAg4HpcA/rz7nr9cVuN9jf6lolEmE36+nkl+tanShUTaQnoz+NzdbjxeD+e2Vmn7z29R6WZCfr7d88Ni/l7ADBa5JnhxuP9aO12afl/bpBhSG99/3xNS4sPyPMCQCg4lc/VoHe6AQCCY3+DXX98t1ovvF8vR79HkhQVYdanF+boa+eWaFZ2YpAjxFhdPC9L//yCWeUtPdpd26UlhSnBDgkAEEYyEqN1dmm63j7Spmd31mndRbOCHRIATEoU3QBgCnG6PfrrB43647vVer+my3+8OD1eN64o1LVL85UcFxW8ABEQiTGRunR+jp5/v15P7aij6AYACLjrygr09pE2PbOzTnesmSmLma5qAPgoim4AMAVUtPboj9tq9OyuOtn63JJ8S0gvnp+tm1YUamVxGksQw8x1Zfl6/v16/XVPg+769FzFRgV2mTAAYGq7aG6WkmIi1GBzaktFm86ZkRHskABg0qHoBgBhyjXg0Wv7mvX4uzXaWtnuP56XHKsbVxTqurJ8ZSbGBDFCjKczp6cpPyVWdZ19+tu+Jl25JC/YIQEAwkhMpEWfXZynP2yr1tM76ii6AcAJUHQDgDBzsMmuJ9+r1Qvv16uz19fVZjZJn5qdqZtWTNO5MzNYAjIFmM0mXbs0X/dvOKI/bKvWZxfn0s0IAAio68ry9Ydt1Xp1X5Naup1czAOAj6DoBgBhwO5068XdDXp6R6321Nn8x7OTYnRdWb4+t7xQecmxQYwQwfD55YV64M0K7azu1JaKdp1Vmh7skAAAYWRBnlVnFCZrV02XfvVWpf7l03ODHRIATCoU3QAgRBmGoXerOvTUe7V6eW+jnG6vJN+stjVzsnTDsgK62qa4rKQY3bi8UI9sOar7NxzWqhJm9wEAAsdkMuk7a2bqSw9v12PbqvW184rpdgOA41B0A4AQ02Rz6tlddXpqR62q23v9x2dkJuiGZQW6akme0hKigxghJpOvn1eix7fX6L2jdLsBAALvnBnpdLsBwElQdAOAENA/4NXrB5v11I46vXmoRV7Ddzw+yqLPLM7VdWUFWlKQTBcTRsi20u0GABg/dLsBwMlRdAOASWxfg03P7qzXn3fXq93R7z++rChF15cV6PKFOYqL4qMcH+/4brc3D7dq9azMYIcEAAgjx3e7/eL1cv3bZ+cHOyQAmBQ4UwOASaatx6UX3q/Xs7vqdaDR7j+enhCta5bm6fqyApVkJAQxQoSabGuMvnTmNP3mnSr98/N79dp3z1V8NL8CAAACw2Qy6XsXzdKNv3nXv2P20mmpwQ4LAIKO37gBYBIYWj76zM56vXmoRQOD60ejLGZdODdL1yzN07kzMhRhMQc5UoSq7144U6/ua1JdZ5/+69WD+jFdCACAAFpVmq5rzsjXs7vq9E/PfKCXvn2OYiItwQ4LAIKKohsABIlhGNpbb9czO2v14p4Gdfa6/bctKkjWtWfk6YpFuUqOiwpilAgX8dER+r9XL9QXfvuufr+1WpcvzNXy6XQhAAAC518+PUebjrSqotWhn288on+6ZHawQwKAoKLoBgATrKXb6Vs+urNeh5q7/cczE6N19Rn5unZpnkozE4MYIcLV2TPSdUNZgZ7cUav/8+wHeuUOuhAAAIGTHBelf//sfH39sZ361aZKXbYgR/PzrMEOCwCChqIbAEyA43cffetwqzxDy0cjzLp4XrauOSNPZ5ems3wU4+6Hl8/Rm4dbVNXm0L1/O6R/+fTcYIcEAAgjl8zP1uULc/TSB4363tN79MI3z+ICD4Api6IbAIyjw83devK9Wj3/fr06jtt99IzCZF271Lf7qDU2MogRYqqxxkbqP69aoFt/v0O/fadKc3KSdO3S/GCHBQAIIz/+zDxtKW/TwaZufe/pPfr555bIbDYFOywAmHAU3QAgwOxOt/6yp0FP7ajTntou//HMxGhdszRf1y7NZ/dRBNUFc7L0zdUlWv9Ghe587gPlJsdoVUl6sMMCAISJ9IRoPXDTUn3p4Xf11w8aNS0tTt+/mPluAKYeim4AEABer6F3qzr09I5avby3UU63V5IUYTbpgjmZur6sQOfNZPdRTB7/eOEsVbf36q8fNOrrf9ip575xlkozKQYDAAJjZUma7rl6ob739B6tf6NC09LidX1ZQbDDAoAJRdENAE5Do61Pz+6s01M76lTT0es/PiMzQTcsK9CVS/KUnhAdxAiBEzObTfrv6xapoatPu2q69OVH3tPz31ilNP69AgAC5Nql+apud+h/Xy/XD5/7UPnJsVpVSmc1gKmDohsAnCLDMLThQIse21att4+0anBPBCVER+iKRbm6vixfiwuSZTIxuwSTW0ykRb/+UpmuemCLajp6ddujO/THr5yp2CgGXgMAAmPdhTNV3d6rF/c06GuP7dSz/7BKM7PYpR3A1EDRDQBGyes19Oq+Jv184xEdbOr2H18xPVU3LCvQpfNzKFYg5KQlROvhm5fp6gc2a1dNlz736236zZfKlJFIxxsA4PSZTCb917UL1dDVpx3Vnbr+V1v1qy8s1YritGCHBgDjjuFCAPAJPF5Df95dr4vv36Rv/HGXDjZ1KyE6Ql87r1hvfu98Pfm1lbr6jHwKbghZpZkJ+t0ty5QcF6k9tV26cv1mHWnu/uQHAgAwCkOd1YsLktXV69YXfvuunn+/LthhAcC4o+gGACcx4PHq2Z11uvC+t3THn3brSEuPEmMi9O0LZuid/7Nad146R0Xp8cEOEwiIpdNS9dw/rFJRWpzqu/p09S+36J0jbcEOCwAQJlLio/Snr56pyxZky+0x9N0n9+j+DYdlGEawQwOAcUPRDQA+on/Aqyffq9Gn/uct/ePTe1TZ5lByXKT+8cKZ2vyDT2ndhTOVHBcV7DCBgCvOSNBz3zhLy4pS1O0c0M2/264n36sJdlgAgDARE2nRLz5/hr5+Xokk6f4NR7TuqT1yDXiCHBkAjA9mugHAoP4Br57eWasH3qhQfVefJCktPkpfOadYX1w5TQnRfGQi/KXGR+mxr6zQPz3zgf68u0H/59kPdbS9V9+/aJbMZjYHAQCcHrPZpB9cOlvT0uL0zy/s1fPv16u+q0+/+sJSpcRzURNAeOEMEgAk2XrduvX372lHdackKT0hWl8/r1g3rihUXBQflZhaoiMsuv+GxSpKi9fPNh7RL9+s0PaqDv3kyvmak5MU7PAAAGHg88sLlZ8Sq288tkvbqzp08f2b9M+fnqsrFuawAzyAsMHyUgBTXpPNqet+tUU7qjuVGBOhf71irt75P6v1lXOKKbhhyjKZTPruhTN13/WLFBdl0c7qTn36f9/Rv/91v7qd7mCHBwAIA+fMyNAz/7BK09Pj1dLt0refeF9f+O27qmjtCXZoABAQFN0ATGnlLT265pdbdLi5R1lJ0Xr66yt181nTFRPJTqSAJF19Rr42/uN5umxBtjxeQ799p0oX/M9benFPA8OvAQCnbVZ2ol654xytu3CmoiPM2lzerkvu36R7/3ZQff3MegMQ2ii6AZiydtd26boHt6i+q0/F6fF65uurNDubpXPAR+VYY/XATUv1+y8vV1FaHN0IAICAiom06NsXzNDfv3ueVs/KkNtjaP0bFVpz31v6+/7mYIcHAGNG0Q3AlLTpcKtu/PU2dfa6tTDfqqe/vlIFqXHBDguY1M6bmaFXv3Mu3QgAgHFRmBanh29epl99canykmNV39Wn2x7doa/8/j3VdvQGOzwAOGUU3QBMOe9WtuvW37+n3n6Pzi5N1+O3nam0hOhghwWEhJN1I1zwP2/qV29VqKu3P9ghAgBCmMlk0sXzsvX3defqH84vUaTFpA0HWrTmvrf0Ly/sVXlLd7BDBIBRo+gGYMp5eHOV3B5DF87N0sM3L1NCNJslAKfqo90IDTan7nnloM68Z6PufO4DHWyyBztEAEAIi4uK0P+5ZLZeueMcrSxOk2vAqz9sq9aa+zbpi799VxsPNMvjZbYogMmNM00AU4rd6dYbh1olSd9dM1NREVx7AMZqqBvhvJkZenF3g3635agONNr1xPZaPbG9VmcWp+rmVdO1Zk6mIiz8vwYAOHWlmYl6/LYV2lLRrke2HNWGA816+0ib3j7SpsLUOH1p5TRdV1Yga2xksEMFgBEougGYUv6+r1n9A16VZMRrTk5isMMBwkJMpEXXLyvQdWX5eu9opx7ZUqW/7WvWtsoObavsUF5yrL64cppuKCtQSnxUsMMFAIQYk8mks0rTdVZpumo7evWHbdX60/Ya1XT06icvHdB9fz+sq8/I09qVRZqRxe93ACYPim4AppS/ftAgSfr0wlyZTKYgRwOEF5PJpOXTU7V8eqoauvr02LZqPbG9RvVdffq/rxzU//v7YV25OE9rVxVpbi47BQMATl1Bapx+eNkcfWfNDL3wfoN+v+WoDjV367FtNXpsW43OKk3Tzaum61OzM2Ux87segOAyGYbBQviPYbfbZbVaZbPZlJTECQIQyjod/Vr2Hxs04DW0Yd25Ks3kSmgw8Lk6XLi/H063Ry/u8Z0U7Ws4Nudt+fRUXbUkTxfMyVRmYkwQIwQQbsL9c/VUhfv7YRiGtla26/dbjurv+5s1NOatIDVW1y0t0EXzsjQrK5GLrQAC5lQ+V+l0AzBlvFvVrgGvoZlZCRTcgAkSE2nR9WUFum5pvnZUd+qRLUf16t4mba/q0PaqDplM0pKCZF04N1sXzctSSUZCsEMGAIQQk8mkVSXpWlWSrrrOoaWntart6NN9fz+s+/5+WAWpsbpobrYumpulpdNSmDMKYMJQdAMwZVS0OiRJ83OtQY4EmHpMJpOWFaVqWVGqGm19enZnnf6+v1l76mzaVdOlXTVd+umrB1WSEe8vwC3OT5aZpUEAgFHKT4nTnZfO0XcumKm/ftCgV/c26e3yNtV29Om371Tpt+9UKSUuUhfMydKFc7N07owMxUZZgh02gDBG0Q3AlFHR2iNJKs6ID3IkwNSWY43Vtz41Q9/61Aw12vq0YX+zXtvfrK0V7apodajirQo9+FaFMhKjtWZOli6al6VVJWmKjuDECADwyWKjLLqurEDXlRXI4RrQ20da9dq+Zm082KLOXree2VmnZ3bWKSbSrHNmZOjCuVm6YHam0hKigx06gDBD0Q3AlDHU6VbM8jVg0sixxuqLK4v0xZVFsjvdevNQq17b16Q3D7WqtdulJ7bX6IntNYqPsuj8WZm6cG6WVs/KlDUuMtihAwBCQHx0hC6Zn6NL5udowOPV9qMd+vv+Zr22r1n1XX36+/5m/X1/s8wmqWxaqi6a5+uCm5bGRVoAp4+NFD5BuA8eBaYKwzC08Mevqds5oFe/c45mZ/P/c7DwuToc78eJuQY82lbZob/vb9Lf9zer2e7y3xZhNmlFcaounJOls0rTVZqZwIBsAH58rg7H+3FihmFof6PdX4Db32gfdvusrERdNC9L587M0MJ8K93WAPxO5XOVotsnIEkB4eFIc7cu/H+bZDJJB/7tEsVE8otTsPC5Ohzvxyfzeg19WG/Ta/ub9Nq+Zh1p6Rl2e0pcpMqKUrWsKEXLilI1P8+qSIZkA1MWn6vD8X6MTl1nr7/r7d2qDnm8x06ToyLMWpyfrLKiFC2bnqql01KUFEPHNTBVsXspAHzEzzYekSStmZNFwQ0IMWazSYsKkrWoIFnfv3i2qtoc+vv+Jr1+sEW7a7vU2ev2nyhJUkykWUsKfCdGy4tStaQwWfHR/MoDADi5/JQ43XLWdN1y1nR19fbrjUMtvgJcZYfaHf3afrRD2492SG9WyGSSZmcnaXnRsVyTmRQT7JcAYBKi0+0TcGUICH0HGu269GdvS5JeueMczcnh/+Vg4nN1ON6P09M/4NXeBpveq+rQe0c7taO6Q1297mH3sZhNmpeb5N89tawoRekMywbCFp+rw/F+nB7DMFTV5tB7Rzu0vcqXZ6rbe0fcrzA1TsuKUrV8eorKilJVnB7P6AMgTNHpBgDH+Z/XDkuSPr0wh4IbEGaiIsw6ozBFZxSm6Gvn+Zailrf26L2jHf5CXH1Xnz6os+mDOpt++06VJN8uxsuLUlVW5OtQKEiN5eQIADCCyWRScUaCijMSdMOyQklSs92p9452aMfRTm2v6tCBJrtqOnpV09GrZ3fVSZLSE6JUNi1Vy6b7xh/MzUlSBKMPgCmHTrdPwJUhILTtru3Sles3y2ySXvvueSrNZOfSYONzdTjej/FX39WnHUc7tL2qQ+8d7dDh5p4R98lKivYX4JYVpWpWdqIsZopwQCjic3U43o/xZ3e6tau6c/CCT6d213Wpf8A77D7xURadMS1lsBCXoiUFKYqNYuQJEIrodAMASW09Lv3zCx9Kkq4+I5+CGzBF5SXHKm9xnj67OE+S1NXbrx1HB0+Ojnbow3qbmu0uvfRBo176oFGSFBtp0eycRM3NSdK8XKvm5SZpVnYiMyEBACMkxUTq/FmZOn9WpiTfDtwf1tm0fbDrekd1p7qdA3r7SJvePtImSTKbpOKMBM3LTRr88uWa5LioYL4UAAFG0Q1AWDrS3K1bHnlPdZ19ssZG6o4LZgQ7JACTRHJclNbMzdKauVmSpL5+j3bXdvmLcLuqO+Xo9+j9mi69X9Plf5zFbFLp4AnS3METpLm5SbLGsoMdAOCY6AiLygZHGOh83+iDQ83dg3mmU+9VdajJ7lR5S4/KW3r0590N/sfmJccO5pgk34WfPKtyrTGMQABCFMtLPwHt2EDo2XS4Vd/84y51uwY0LS1OD9+8TCUZdLlNFnyuDsf7Mfl4vL6h2fsabNrfYNe+Brv2NdjU+ZENGoYUpMZqXo7Vf5I0L9eqrKRoTpCAIOFzdTjej8nHMAy1dLsGc4xtMM/45sKdSEpcpP9iz1Bn3PT0BMYgAEHC8lIAU9Zj26p194v75PEaWl6Uqge/uFSp8bTpAxg9i9mk0swElWYm+JekGoahJrtT++qPFeH2NdhV39Wn2g7f16v7mvzPkRYfNeIEqSgtXmZOkABgyjOZTMpKilFWUoxWz870H7c73cMu9uxvsOtIS486e93aXN6uzeXt/vsOjUEYutgzN4cxCMBkRNENQFjweA39x0sH9PBm386EV5+Rp3uuXqDoCH7xAHD6TCaTcqyxyrHG+pelSr75cEMnSPsbfSdJ5S09anf0D5vdI/mGaM/JOdYNNzc3STOyEvicAgBI8s2GO7M4TWcWp/mPOd0eHWnuOa4jzqYDjd3qczMGAQgFFN0AhLyqNofufnGfNh1ulSR976KZ+ubqUpZ2ARh3yXFRWlWarlWl6f5jTrdHB5u6hy0ZOthol6Pfox3VndpR3em/b6TFpNLMRM3MSlBpRoJmZCWoNDNR09LiFGkxB+MlAQAmkZhIixbkW7Ug3+o/9tExCL6LPnZ1OPp1qLlbh5q79dz79f77F6TGalZWkkozEzRjsJO7NDNB8dGUA4Dxxv9lAEJWh6NfP994RI9tq9aA11BUhFn3Xb9In16YG+zQAExhMZEWLS5I1uKCZP+xAY9XlW2OEfN7bH1uHWi060CjfdhzRJhNmp4e7z9BKslM0IzMRBVnxLN0CACmuLGOQdhwoHnY8+RaY1SalXjcRR9fzmEHVSBwKLoBCDlOt0e/33JUv3ijXN3OAUnS6lkZ+uFlczQjKzHI0QHASBEWs2ZmJWpmVqKuXHLsBKm+q08HGrt1pKXbv4tdeUuPevs9OtLSoyMtPXrluOcxmaTC1DiVZiSo1N8dl6iSjHglxrB8CACmqpONQbD1urWv0Tf64EizL8ccaelRW49LDTanGmxO/2qRIekJUf6i3ozMRH8xLiORTYKAU0XRDUDI8HoN/eWDBv3Xq4dU39UnSZqTk6QfXTZHZ89I/4RHA8DkYjKZlJ8Sp/yUOF143AmSYRhqsDkHT5C6VdHqO1E60tIjW59b1e29qm7v1caDLcOeL8ca4z9JOv5Eic1kAGDqssZFalVJulaVDP9duau333+h58hxF33qu/rU1tOvtp4ObavsGPaYxJgI//LUoRxTmpmgvORYNgoCToKiG4CQsL2qQ//x0n7tqbNJkrKTYvS9i2fpqiV5bJcOIKyYTCblJccqLzlW583M8B83DENtPUMnSd3DTpRaul1qtDnVaHMO27xB8u2kWnLcHJ+hE6WsJDoWAGCqSo6LUllRqsqKUocdd7gGVNE6shhX3e5Qt3NAu2q6tOu4zRsk306qJZnxx3Vf+5arTkuNUwTzSTHFhX3RraurS2vWrNHAwIAGBgZ0xx136Lbbbgt2WABGaX+DXT/beFh/2+ebQREfZdE/nF+iW88uVmwUc40QfOQZTBSTyaSMxGhlJEZrZUnasNtsfe4TFuPqOvvU7uhXe1WHtld9pGMhOsJfjCvJTND09HhNT49XYWocc+OASYQ8g4kUHx2hhfnJWpifPOy40+3R0XbHsWWqrT0qb+5RZVuP+twe7a23a2/98PmkkZZj80lLMxJUnJGgosFcw46qmCpMhmEYwQ5iPHk8HrlcLsXFxcnhcGj+/PnasWOH0tLSPvnBkux2u6xWq2w2m5KSksY5WgCSbxnp6wdb9Nt3qrS1sl2SZDZJn1teqO+smaHMxJggR4jTEW6fq+QZTGa9/QOqbHX4Z8YNnShVt/fK4z3xr4Amk5RrjVVxhu/EqCgtXtMz4jU9LV75KbF0LWDSC7fPVfIMJrMBj1c1Hb3DuuKGvvrcnpM+LjU+yn+xZ+irKC1eRelxiosK+94ghLhT+VwN+3/NFotFcXFxkiSXyyXDMBTmdUYgZPX2D+jZnXX63eajqmxzSPLtznTp/GzdccEMNknApESewWQWFxWh+XlWzc+zDjvuGvCour13cFZct6raHL6vVoe6XQOq7+pTfVffiKWqEWaTCtPiND1t8AQpPV7Fg39mJ8Uw0wcYB+QZTGYRFrOKB7vYLp537LjXa6jB1qcjLT2qGCzCVbU5dLTdoWa7Sx2OfnU4+rWzunPEc+ZYY4Zd8BnKN4WpcYqK4MIPQkvQi26bNm3Svffeq507d6qxsVHPP/+8rrzyymH3Wb9+ve699141NTVp0aJF+t///V8tX7581D+jq6tL5513no4cOaJ7771X6ekMXAcmkyabU7/felSPv1sjW59bkm9Q643LC/WlVUXKS44NcoQIZeQZYKToCIt/N1Upx3/cMAy1O/qPFeEGC3FH231/dw14VdnqUGWrY8RzxkSafSdJ6cMLctPT45UaH8X8OIQt8gwwktl8bLOg1bMyh93W4xrQ0cECXFWrQ1Xtx3JOV6/bP6N0aMWL/zlNUkFq3LBcM/SVmxzLnGdMSkEvujkcDi1atEhf/vKXdfXVV4+4/cknn9S6dev04IMPasWKFbr//vt18cUX69ChQ8rM9P3Pu3jxYg0MDIx47Guvvabc3FwlJydrz549am5u1tVXX61rr71WWVlZI+4PYGJ9UNel375TpZc+aNTA4DKnaWlxumVVka4tK1BCdNA/ohAGyDPA6JlMJqUnRCs9IVrLPjJc2+s11GR3qqrNoco2h44OniAdbXOopqNXTrdXB5u6dbCpe8TzJsZE+Dvihi0lSo9XUgxzfRDayDPAqUmIPnEXtiR1OvpV1X4sxxyfb3r7Pf4dvN863DrscVEWs6alxQ274DP094xENg5C8EyqmW4mk2nElaEVK1Zo2bJl+sUvfiFJ8nq9Kigo0O23364f/OAHp/wzvvGNb+hTn/qUrr322hPe7nK55HK5/N/b7XYVFBQwAwEIkAGPVxsOtOjhd6q0/eixod7Lp6fq1rOna82cLK5ShblgzpYhzwDjw+3xqq6zT0c/coJU1eZQg61PH/fbZnpC1LDZcUPFuWmp8WyYgzEhz5BnEH4Mw1Brt0uVx13wGco31e296vd4T/rY+CiLij7SgV2U7lu6mhIfNYGvAuEibGa69ff3a+fOnbrzzjv9x8xms9asWaOtW7eO6jmam5sVFxenxMRE2Ww2bdq0Sf/wD/9w0vvfc889+vGPf3zasQMYrsnm1J/eq9GT79Wq0eaU5JsN9OmFObr17GItyB95pQsYb+QZIDAiLWZ/99rqj9zmdPs6E44tWe3R0bZeVbY51NbjUltPv9p6+vXe0ZPP9SlKjxv8kx1WEVrIM0BgmEwmZSbFKDMpRmcWD99ExOM11NDVN3w0wuBXXWevHP0e7Wuwa1+DfcTzWmMjBwtwvi45f65Ji5c1jk5snL5JXXRra2uTx+MZ0TqdlZWlgwcPjuo5qqur9dWvftU/cPT222/XggULTnr/O++8U+vWrfN/P3RlCMCp83gNbTrSqsffrdHrB1v8O+WlxEXq88sL9aWVRcq2shMpgoc8A4y/mEiLZmUnalb2yM1wup3uwQKcrxBX1dbjP1GyOwdOOtdnaIfVoWLc9ONOlBi0jcmEPAOMP4vZpILUOBWkxuncmRnDbusf8O2ueqLlqk12p2x9bu2p7dKe2q4Rz5sSF+kvwBUd1x1XlB6nREYjYJQmddEtEJYvX67du3eP+v7R0dGKjo4ev4CAKaCl26mnd9Tpie01quvs8x9fXpSqm84s1MXzsulQQNggzwBjlxgTqQX51hHdzoZhqLPX7V9CVN3uUFW776TpaNvwHVY3l48ctJ2XEusrwvm743zFuYLUOEVaKMghtJBngLGLijCrNDNBpZkJI27r6/fo6OD8uKODOWZonlxLt0udvW511nTp/ZquEY9NT4jy55ii47rkpqfHK5651DjOpP7XkJ6eLovFoubm5mHHm5ublZ2dHaSoAJyI12toS0W7Ht9erdf2Nfs3RkiKidA1S/N14/JCzcga2eUABBN5BpicTCaTUuOjlBofpaXTUobdNrTDqn8jh3bHYJecrzjn6PeotqNPtR19evtI27DHWswm5Q8W5KYfd6I0PT1eecmxiqAghwAjzwCTV2yURXNykjQnZ+RMLodrwJ9fhnbwHtpxdWgsQltPv3ZUjxyNkJEY7e+IG9Ypl8as0qloUhfdoqKitHTpUm3cuNE/jNTr9Wrjxo361re+FdzgAEiS2ntcenqnr6utur3Xf/yMwmTduGKaPr0wh642TFrkGSD0HL/DatlHdlg1DEOtPS7fSdJxHQtVg4O2+9wn3/kuYnB50vGFuKHiXG5yLJv8YEzIM0Boio+O0Lxcq+bljpw73e10+2eVHp9rjrb3qsPRr9Zul1q7XcM2jRuSnRQzbE7pUJ6Zlsas0nA1pqKby+XSu+++q+rqavX29iojI0NLlizR9OnTT/m5enp6VF5e7v++qqpKu3fvVmpqqgoLC7Vu3TqtXbtWZWVlWr58ue6//345HA7dcsstYwkdQAAYhqFdNV16dOtRvfJhk3+3oMToCF11Rp5uXFGo2dnsjoXJgTwDTB0mk0mZiTHKTIzR8ukjC3LNdpe/I85/kjTYxeAa8PrnyenQ8IJclMWsaWlxKslIUElmvIrTE1SSmaDijHglMddnyiPPAFNLYkyk5udZNT9vZEHO1uf2d8QNXfAZ6sru6nWrye5Uk92pbZXDC3JDs0qLM+IHc02CSgb/npkYLZOJCz+hymQYH7eJ+3CbN2/Wz372M/3lL3+R2+2W1WpVbGysOjo65HK5VFxcrK9+9av6+te/rsTE0S0je/PNN7V69Uf3uZLWrl2rRx55RJL0i1/8Qvfee6+ampq0ePFi/fznP9eKFStGG/ZpCeaW48Bk09fv0Yt76vXo1uphu/8syrfqxhWFumJRruKiJnUDLSaBif5cJc8A+CRer6Emu/Mj3XG+YlxNe6//4tKJZCZGqyQjYdiJUvHgclUz3XFBQZ4ZjjwDTA5dvf3+AlzVYEf2UHGu2zlw0sclREf4C3DH55ppaXGKjqA7LhhO5XN11EW3z3zmM9q1a5duvPFGXXHFFSorK1NsbKz/9srKSr399tt64okntGfPHj366KO68MILT++VTAIkKUCqbnfosW3VempHnWx9bklSdIRZn1mUqy+tLBoxABv4OHyuDsf7AUxuHq+hhq4+VbY5VNnao4rWHlW0OFTR2qOWbtdJHxcTadb0dF+nQnFGwrATJi5QjS8+V4fj/QAmN8Mw1OHwFeQqWntU0TqUb3yd2d6TVGzMJqkgdbAL259jfH9PjY+iO24cncrn6qgz/uWXX65nn31WkZEnbqEvLi5WcXGx1q5dq/3796uxsfHUogYwqXi9ht483KJHt1brrcOtGirPF6TG6gsrpun6sgKlxEcFN0gAAMaZZXDWW0FqnM6bmTHsNrvTrarWoZOkY8W4o+0OOd1eHWi060CjfcRz5lpjBpcOHV+US1BWEkuIAGCqMZlMSkuIVtoJZpW6Bjyqae/1F+P8RbmWHnW7BvxzSl8/OPw5k+MifUW49Hh/vinOiFchu3hPuFNaXipJHo9Hmzdv1sKFC5WcnDxOYU0eXBnCVNPV26+ndtTqsW01quk4tjHCeTMztHbVNJ03M5Nh0jgtfK4Ox/sBhJ8Bj1d1nX3+YlzlcSdKHY7+kz4uPsriX556bKZPAgO2TxGfq8PxfgDhZ2jjoKGLPcd3yNV39elkVZ4Is8k/o9TfhZ2ZoJL0BFnjmFE6WuPS6TbEYrHooosu0oEDB6ZE0Q2YKg41deu371Tqz7sb5Brwza5JionQ9WUF+sKZ01SUHh/kCAEACA0RFrNvV7r0eF0wJ2vYbZ2OflW29Yw4Uarp6JWj36MP6mz6oM427DFmk5SfEqeSjHjNzknSvNwkzcu1alpqHHPjAGAKOn7joJUlacNu6+v3+JeqVh7XjV3Z6lCf2zPYMeeQ1DzscekJUSrOSNDMrATNy7Vqfq5VM7MTmBt3msY0UGL+/PmqrKwc026lACYPwzC0ubxdD71dqU2Hj+3UNjcnSV9aOU2fXZyn2Cg+ZAEACJSU+CgtjU/V0mnDlxD1D3hV0+FQecvIE6Vu54BqOnpV09GrN47bWTUhOkJzc5I0N/dYIW5GVgJLhwBgCouNsmhuri83HG9o0yDfOIRjy1UrWx1qsjvV1tOvtp4Oba86trNqhNmk0kxfEW5ebpLm51k1JydRiezcPWpjKrr95Cc/0fe+9z39+7//u5YuXar4+OEdMLQtA5Nb/4BXf9nToF+/XamDTd2SfFfRL5mfrS+fNV1Lp6UwUwYAgAkUFWFWaWaiSjMThx0fWkJU2erQkZYe7W+wa3+DTQeautXjGtD2ox3afvTYCVKUxaxZ2YmDRbgkzc31nSCxeQMATG1ms0m5ybHKTY7VOTOGzyjtcQ2osrVH5S09OtTUrb0NNu1rsKur162DTd062NStZ3cdu39RWpyvEJeX5C/IpSdET/ArCg2nPNNNkszmY1fPjj8xNwxDJpNJHo8nMNFNAsxAQDix9bn1+Ls1emRLlZrtvh3XYiMtumFZgb581nQVpsUFOUJMBXyuDsf7AWAsBjxeVbQ6tLfed2K0r8Gm/Q12dbsGRtzXbJKKMxL8hbj5uVbNzU1Sclx4bojE5+pwvB8AxsIwDDXYnNp3XJ7Z12BXo815wvtnJUVr/mABbu7gn/kpsWHZzDGuM90k6Y033hhTYACCo7ajVw9vrtKT79Wqt99XFM9MjNbaVUW6aUVh2P7SDQBAuIoY7GiblZ2oa5b6jhmGodqOvsEOhaGTJLtau10qb/F1MPx5d4P/OfKSY/3LUucPdiuwgyoAQPI1WOUlxyovOVYXzcv2H2/vcWl/oy+/7K33XfCpaneo2e5Ss71FGw+2+O9rjY30X/AZ6ogrzkiYUhvzjanTbSrhyhBC2Z7aLj30dqVe+bBR3sH/02dlJeor50zXZxbnMhQTQcHn6nC8HwDGW4vdOaxLYV+DfdgO5cdLi48anBFn1eICq1aVpispxGb38Lk6HO8HgPHmcA3owGAhbl+DTXvr7TrS0i23Z2S5KTbSotk5if7O67NK01WQGlorrsa9021Ib2+vampq1N8/fOvzhQsXns7TAjgNhmHo7SNtevCtCm2paPcfP2dGur5yTrHOnZHOFWwAAKaQzKQYZSbFaPXsTP8xW59b+49blrqvwa7y1h61O/r19pE2vX2kTZJviPbSaSlaPTtTq2dlamZWAr9HAACGiY+OUFlRqsqKjm0S1D/g1eHmbu1vsPtnxB1otKu336P3a7r0fk2X/76lmQlaPStDq2dlqqwoVVER4bMh0Jg63VpbW3XLLbfolVdeOeHtzHQDJp7Ha+jlDxv14FsV2tdgl+T7Rfkzi3L1lXOKR+xeAwQLn6vD8X4AmCycbs+wAdrvVrarotUx7D651hidPztT58/M0Fml6YqPnnwbNPC5OhzvB4DJwuM1dLTd4e+I21XdqV01XfJ4j5Wl4qMsOntGulbPytT5szKVbY0JYsQnNu6dbt/5znfU1dWld999V+eff76ef/55NTc36yc/+Yn+53/+Z0xBAxgbp9ujZ3fV6aFNlapu9y0ViY206HPLC/SVc4qVlxwb5AgBAEAoiIm0aFFBshYVJPuP1bT36s3DLXrjYIu2VLSrwebU4+/W6PF3axRlMWv59FSdPytDq2dnqjg9ni44AMBJWcwmlWQkqCQjQZ9ZlCtJsvW69XZ5q9485Ptq63Hpb/ua9bd9zZKkOTlJWj0rQ+fPytQZhcmKsIRWF9yYOt1ycnL05z//WcuXL1dSUpJ27NihmTNn6sUXX9R//dd/6Z133hmPWIOCK0OYrOxOtx7bVq2H3zmqth7fTqTJcZG6eVWR1q4sUko8myNgcuJzdTjeDwChwun2aGtlu9482KI3DrWOmAtXmBrnOzGanamVxWmKiQzO7Fg+V4fj/QAQKrxeQ/sa7HrjUIveONSi3bVdOr5ilRQToXNm+pahnjczQxmJ0UGJc9w73RwOhzIzfTMhUlJS1NraqpkzZ2rBggXatWvXWJ4SwCi12J367eYq/XFbjXpcA5J8Sz1uO7dYNywrUFzU5FvmAQAAQl9MpEWrZ/lmu/2rYaiyzTHYmdCidys7VNPRq99vrdbvt1YrOsKsVSVp/llwoTYkGwAw8cxmkxbkW7Ug36pvXzBDHY5+bTrcqjcOteitw63q6nXrpQ8a9dIHjZKkhflWnT8rU6tnZWhRfrLMk3BX1DGdnc+aNUuHDh1SUVGRFi1apF/96lcqKirSgw8+qJycnEDHCEBSk82pX75Zrifeq1X/gFeSNDMrQV87t0SfWZyryBBrswUAAKHLZDq2ROjWs6fL4RrQlop2vXGoRW8ebFGDzak3DrXqjUOtkvbpknnZ+qdLZqk4IyHYoQMAQkRqfJSuXJKnK5fkyeM1tKeuy99t/WG9TR/U+b5+vvGIZmUl6geXztb5szIm1aiDMS0vfeyxxzQwMKCbb75ZO3fu1CWXXKKOjg5FRUXpkUce0Q033DAesQYF7dgINn+xbXut+j2+YtvSaSn6xvklWj0rc1JW84GPw+fqcLwfAMKNYRg63NzjWx50sEXvHe2Q1/Bt8HTjikJ9+4IZSk8YvyVBfK4Ox/sBIBy1dDv11uAcuLcOt/pXga0qSdMPL5uj+XnWcfvZp/K5Oqai20f19vbq4MGDKiwsVHp6+uk+3aRCkkKwnKjYtqwoRd9dM1MrS9ImVfUeOBV8rg7H+wEg3B1q6tZPXz2o1w+2SJISoiP09fOKdevZxYqNCvzcNz5Xh+P9ABDubL1urX+zXI9sPuo/d75yca7+8aJZ4zLeYEKLbkMPD9cCAEkKE41iG8Idn6vD8X4AmCq2VLTpnpcP6sN6myQpKyla/3jhLF2zNF+WAHbu87k6HO8HgKmitqNX//PaIb2wu0GSFGUx6+azivTN80tljYsM2M85lc/VMQ+B+u1vf6v58+crJiZGMTExmj9/vn7zm9+M9emAKa/J5tTdf96rc//rDf1+a7X6PV4tK0rR419Zoae+tlKrStMpuAEAgJC1qiRdf/7mWfrZ5xYrPyVWzXaX/unZD3TZz97WGwdbFIAFOACAKawgNU73f26J/nr72VpVkqZ+j1cPbarUufe+oV9vqpRrwDPhMY1pI4W77rpL9913n26//XatXLlSkrR161Z997vfVU1Njf7t3/4toEEC4czW69bPXz+iPwwW2iQ62wAAQHgym0367OI8XTI/W3/YWq3/fb1ch5q7dcsj7+lTszP1yy+coeiIwC85BQBMHfPzrPrjV1bozcOt+r8vH9Sh5m79x8sH9PutR/XILctVmjlxm/qMaXlpRkaGfv7zn+vzn//8sONPPPGEbr/9drW1tQUswGCjHRvjZcDj1RPv1eq+1w6ps9ctiWIbpgY+V4fj/QAwldl63XrgzXL9bstR9Q949f2LZ+mbq0tP6zn5XB2O9wPAVObxGnp2V53+57VDara7VDYtRU99beVpbUg47stL3W63ysrKRhxfunSpBgYGxvKUwJSyubxNl//8Hf3LC3vV2etWaWaCHrllGctIAQDAlGKNi9Sdl83RT69ZIEn639ePqLajN8hRAQDChcVs0vVlBXr+G2cpLsqiHdWdenZX3YT9/DEV3b74xS/ql7/85YjjDz30kG666abTDgoIV0fbHLrt0R266Tfv6lBzt6yxkfrxZ+bplTvO0fmzMim2AQCAKenKxXlaMT1VTrdXP/7L/mCHAwAIM7nJsbrjghmSpHteOaiu3v4J+bmjnum2bt06/99NJpN+85vf6LXXXtOZZ54pSXr33XdVU1OjL33pS4GPEghx3U63fvF6uX43uIWxxWzSF8+cpu+smaHkuKhghwcAABBUJpNJP7lyvi792dvacKBZG/Y3a83crGCHBQAII18+e7qe2VmnIy09uvdvh/QfVy0Y95856qLb+++/P+z7pUuXSpIqKiokSenp6UpPT9e+ffsCGB4Q2gzD0HO76nXPKwfU1uOrpJ87M0P/cvkczchKDHJ0AAAAk8eMrETdes50/eqtSv3rX/bprNJ0xUaxqQIAIDAiLWb9+5Xz9bmHtunx7TW6rqxAiwuSx/Vnjrro9sYbb4xnHEDY6XEN6IfPfagX9zRIkorT4/XPn56j1SwjBQAAOKFvf2qGnt1Zr7rOPm2rbNfq2ZnBDgkAEEbOLE7Tpxfm6K8fNOrZnXWTp+gGYPT21tv0rcd36Wh7ryxmk9ZdOFO3nVOsqIgxjVEEAACYEuKjI5QYE6G2HpdiIulyAwAEXmZijCRNSDf1qCsAX//611VXN7odHp588kn98Y9/HHNQQKgyDEOPbj2qqx/YoqPtvcq1xuipr52pb64upeAGAAAwCq3dLklSZlJ0kCMBAISj1p7BPJM4/nlm1J1uGRkZmjdvns466yxdccUVKisrU25urmJiYtTZ2an9+/frnXfe0Z/+9Cfl5ubqoYceGs+4gUnH1ufWD579QK/sbZIkrZmTpf++biEbJQAAAIxSb/+AelwDkibmZAgAMPW02J2SpIzJVHT793//d33rW9/Sb37zGz3wwAPav3/4Vt6JiYlas2aNHnroIV1yySUBDxSYzPbUdulbT+xSbUefIi0m/eDSOfryWUXMbgMAADgFLXZf90FspEUJ0UzCAQAEnr+jenCZ6Xg6pUyWlZWlH/3oR/rRj36kzs5O1dTUqK+vT+np6SopKaHAgClpb71N1/9qq1wDXhWkxuoXnz9Di8Z5GCMAAEA4aujqk+RbWsq5BQAg0AY8XjUNdrpNxBiDMV8+SklJUUpKSiBjAUJOp6NfX/vDTrkGvDq7NF3rbzpD1tjIYIcFAAAQkt441CJJWpSfHNxAAABhafvRDvX2e5QcF6lpqXHj/vOY7A6Mkcdr6Nt/el/1XX2alhZHwQ0AAOA0GIahlz/0zca9bEF2kKMBAISjVwbzzEVzsxRhGf+SGEU3YIz++7VDevtIm2IjLfrVF5dScAMAADgNe+vtqu/qU2ykRefNzAx2OACAMOP1Gnp1n6/odumCnAn5mRTdgDF45cNG/fLNCknST69dqNnZSUGOCAAAILS9vLdRkvSp2ZmKjbIEORoAQLjZWdOp1m6XEmMidFZJ+oT8TIpuwClqtjv1vaf3SJK+cvZ0fWZRbpAjAgAACG2GYeiVD31Ft0vms7QUABB4Lw/mmQvnZCkqYmLKYWP+KQMDA9qwYYN+9atfqbu7W5LU0NCgnp6egAUHTEZvHW6Vo9+j2dmJ+sGls4MdDgAAQMiraO3R0fZeRVnMWj2bpaUAgMAyDEMbDjRLki6ewIs7Y9q9tLq6Wpdccolqamrkcrl04YUXKjExUT/96U/lcrn04IMPBjpOYNLYW2+TJJ1dmj4hgxcBAADC3YYDvl1LV5akKSF6TKcoAACc1JGWHtV29CkqwqxzZkzM0lJpjJ1ud9xxh8rKytTZ2anY2Fj/8auuukobN24MWHDAZPThYNFtQb41yJEAAACEh42D3QcXzKHLDQAQeENdbqtK0hQXNXEXd8b0k95++21t2bJFUVFRw44XFRWpvr4+IIEBk9GAx6v9DXZJ0vw8im4AAACnq9PRr53VnZJ8mygAABBorw92VF8wJ2tCf+6YOt28Xq88Hs+I43V1dUpMTDztoIDJ6khLj1wDXiVER2h6WnywwwEAAAh5bx5ukdeQZmcnKj8lLtjhAADCTIejX7tqfBd3LpjgiztjKrpddNFFuv/++/3fm0wm9fT06O6779Zll10WqNiASae9p1+SFB/NNvYAAACBsL3KdyJ03qyMIEcCAAhHO6s75TWkmVkJyk2O/eQHBNCYim7//d//rc2bN2vu3LlyOp268cYb/UtLf/rTnwY6RmDSWDotRQnREWq2u7RzsFIOAACAsavt6JUkzchkxQwAIPBqgphnxjTTraCgQHv27NGTTz6pPXv2qKenR7feeqtuuummYRsrAOEmNsqiS+Zn65mddXr+/XotK0oNdkgAAAAhbehkqDCVpaUAgMAburhTEIQ8c8pFN7fbrdmzZ+uvf/2rbrrpJt10003jERcwaV21JE/P7KzTSx806u4r5io6gqWmAAAAYzHg8aq+q08SRTcAwPgI5sWdU15eGhkZKafTOR6xACHhzOI0ZSZGy9bn1puHWoMdDgAAQMhqtDnl8RqKijArMzE62OEAAMJQSBXdJOmb3/ymfvrTn2pgYCDQ8QCTnsVs0mcX50qSfrbhiPr6R+7kCwAAgE9W1+nrcstLjpXZbApyNACAcNQw2FGdlzLx49DGNNPtvffe08aNG/Xaa69pwYIFio+PH3b7c889F5DggMnq1rOL9dyueu1vtOv7z+zR/35+iUwmflEEAAA4FUO/PlFvAwCMl6EUYwnCOfuYim7Jycm65pprAh0LEDKyrTH65ReW6qbfbNNfP2jUnJwkfXN1abDDAgAACCnREb6FN64Bb5AjAQCEq+hIixz9HrkGJn6V2piKbr/73e8CHQcQcpZPT9WPPzNfP3z+Q/33a4c0KytRa+ZmBTssAACAkDG0IRVFNwDAeAnmBZ4xzXQD4HPjikJ98cxpMgzpO0/u1pHm7mCHBAAAEDJiIgdPhNzMyAUAjI9jRbcQ6XSbPn36x86vqqysHHNAQKi564q5OtzcrXerOnTLI+/p8a+cqcI0trwHAAD4JNGRvk43J51uAIBxMtRV7XRPfK4ZU9HtO9/5zrDv3W633n//fb366qv6/ve/H4i4gJARaTHrgZvO0DW/3KKj7b267ldb9NitKzQjKzHYoQEAAExqURZf94Hb45VhGGxMBQAIuKjBTrd+T4gU3e64444THl+/fr127NhxWgEBoSgtIVpPfW2lvvDbd3W4uUfX/2qrHv3yCi3ItwY7NAAAgElrqOhmGJLHayjCQtENABBYkYO5xR3qM90uvfRSPfvss4F8SiBkZCbF6MmvrtSifKs6e936/K+36d3K9mCHBQAAMGlFRhwrsrk9RhAjAQCEq0h/V/XE55mAFt2eeeYZpaamBvIpgZCSEh+lx76yQiump6rHNaAvPbxdbxxqCXZYAAAAk9LQiZAUnGU/AIDwN7S81B0qy0uXLFkybN6CYRhqampSa2urHnjggYAFB4SixJhI/f7Ly/WNP+7S6wdb9NVHd+h/P79El8zPCXZoAAAAk0qE+fhON4puAIDAG7rAE4yLO2PqdLvyyiv12c9+1v919dVX6+6779bevXv11a9+NdAxnrarrrpKKSkpuvbaa4MdCqaImEiLHvzCUn16YY7cHkPfevx9bdjfHOywAIwT8gwAjE2T3SlJMpmk6IiALsIJK+QZABi7Rpsv18RFWSb8Z4+p0+3uu+8OdBzj6o477tCXv/xl/f73vw92KJhCoiLM+tnnfF2hf9nToG/8cZd+vbZM583MCHZoAAKMPAMAY/PWoVZJ0uKCZCXGRAY5msmLPAMAY9Nsd+pAo10mk7SyOG3Cf/6YLift2rVLH374of/7P//5z7ryyiv1wx/+UP39/QELLlDOP/98JSYmBjsMTEEWs0n3Xb9Il8zLVr/Hq68+ukNbytuCHRaAACPPAMDYvHXYV3TjouTHI88AwNgM5ZmFeValJURP+M8fU9Hta1/7mg4fPixJqqys1A033KC4uDg9/fTT+qd/+qdTeq5NmzbpiiuuUG5urkwmk1544YUR91m/fr2KiooUExOjFStWaPv27WMJGwiKSItZP//8Eq2ZkynXgFe3/n6Htld1BDssYMogzwDA5OT2ePXOEd/FyPNnZQY5mrEjzwDA5DXUUX1ekPLMmIpuhw8f1uLFiyVJTz/9tM477zw9/vjjeuSRR/Tss8+e0nM5HA4tWrRI69evP+HtTz75pNatW6e7775bu3bt0qJFi3TxxRerpeXYjpCLFy/W/PnzR3w1NDSM5eUBARcVYdb6m87QuTMz1Of26Jbfbdf7NZ3BDguYEsgzADA57aruVLdrQKnxUVqYZw12OGNGngGAyWnA49XbR3xFt/NnBaejekwz3QzDkNfr2/Vhw4YN+vSnPy1JKigoUFvbqS2du/TSS3XppZee9Pb77rtPt912m2655RZJ0oMPPqiXXnpJDz/8sH7wgx9Iknbv3j2GV3FiLpdLLpfL/73dbg/Yc2Nqi46w6KEvLtWXH3lPWyra9dU/7NRL3z5bmYkxwQ4NCGvkGQCYnH63+agk39JS83G7mIYa8gwATE7P7aqX3TmglLhILcpPDkoMY+p0Kysr009+8hP94Q9/0FtvvaXLL79cklRVVaWsrKyABdff36+dO3dqzZo1/mNms1lr1qzR1q1bA/ZzjnfPPffIarX6vwoKCsbl52Bqiom06NdfKtPMrAS1drv07Sfe10AQti0G4EOeAYDg2LC/Wa/ua1KE2aSvnlsc7HDGDXkGAIKjvcel/3zlgCTpH84vkSVIF3fGVHS7//77tWvXLn3rW9/Sj370I5WWlkqSnnnmGa1atSpgwbW1tcnj8Ywo5GVlZampqWnUz7NmzRpdd911evnll5Wfn/+xCe7OO++UzWbzf9XW1o45fuBE4qMj9MsvLFV8lEXbKjt0398PBzskYMoizwDAxHO4BnT3i/skSV85p1hzcpKCHNH4Ic8AQHD8x8sH1NXr1pycJH35rOlBi2NMy0sXLlw4bPfSIffee68sFstpBxVoGzZsGPV9o6OjFR098TtaYGopyUjQ/71moW5/4n098GaFzihM0Zq5gesSBTCxyDMAMHr3bzis+q4+5afE6o4LZgQ7nJBAngGA0dtS3qbndtXLZJLuuXqBIixj6jcLiDH95NraWtXV1fm/3759u77zne/o0UcfVWRkZMCCS09Pl8ViUXNz87Djzc3Nys7ODtjPAYLhikW5unlVkSRp3VO7VdvRG9yAgCmIPAMAE+vDOpseHpzl9u9Xzlds1OS7YB9I5BkAmFh9/R796IW9kqQvnjlNiwuSgxrPmIpuN954o9544w1JUlNTky688EJt375dP/rRj/Rv//ZvAQsuKipKS5cu1caNG/3HvF6vNm7cqJUrVwbs5wDB8o8XzZQ1NlJ25wDLTIEgIM8AwPhzuj366wcNuvWR93TlA5vl8Rr69MIcrZ6VGezQxh15BgDGn2EY2nG0Qz98/kOdec9GVbU5lJkYre9dPCvYoY1teenevXu1fPlySdJTTz2l+fPna/PmzXrttdf09a9/XXfdddeon6unp0fl5eX+76uqqrR7926lpqaqsLBQ69at09q1a1VWVqbly5fr/vvvl8Ph8O/+A4Squs5e/cNju2Trc8tkks6ZkR7skICwRJ4BgInn9RrafrRDz++q18sfNqrbNeC/bVlRiu6+Yl4Qowss8gwABMfRNoeee79eL7xfr5rjVo5lJ8XovhsWKSkmcCsxx2pMRTe32+2fE7BhwwZ95jOfkSTNnj1bjY2Np/RcO3bs0OrVq/3fr1u3TpK0du1aPfLII7rhhhvU2tqqu+66S01NTVq8eLFeffXVgO6SCky0tw636o4/va+uXreS4yL1888t0bkzM4IdFhCWyDMAMHHKW3r0/Pt1euH9BtV39fmP5yXH6solubpqSb5KMxOCGGHgkWcAYOJ0Ovr11w8b9fyuOu2q6fIfj4uy6JL52bp6Sb5WlqQFbbfSjzIZhmGc6oNWrFih1atX6/LLL9dFF12kbdu2adGiRdq2bZuuvfbaYfPeQp3dbpfVapXNZlNSUvjurISJ4fUaWv9Gue7bcFiGIS3Mt+qBm85QfkpcsEMDJgyfq8PxfgAIde09Lv1lT4Oef79ee+ps/uOJ0RG6bEGOrjojT8uLUmWeoBMgPleH4/0AEOpcAx69cbBFz+2q1xuHWuT2+MpYZpN09owMXb0kTxfNy1Jc1Jj6yk7ZqXyujimin/70p7rqqqt07733au3atVq0aJEk6cUXX/QvOwUwnK3PrXVP7tbGgy2SpM8vL9TdV8xVTGR4DxAGAADhx+n2aMOBZj2/q15vHW7VgNd3AmQxm3TezAxdtSRPF87N4vccAMCYGIahndWdeu79er30QaNsfW7/bXNzknT1GXn6zKJcZSbFBDHKTzamotv555+vtrY22e12paSk+I9/9atfVVwcHTvAkNqOXm0ub9OWina9U96mDke/oiLM+sln5+v6ZQXBDg8AAOATOVwDOthk1/7Gbh1otOtAo10HG7vV5/b477Mw36qrluTpikW5Sk+IDmK0AIBQ4/Z4Vdnq8OeY/Y127W+wq93R779PVlK0rlycp6vOyNPs7NDp2h1z751hGNq5c6cqKip04403KjExUVFRURTdMKW12J3aWtnuL7TVdfYNu70gNVa/vGmp5udZgxQhAADAiRmGoQabUwcafCc8Qyc/1R29OtFAmmNz2vJUmpk48QEDAEKOrc/tK6w1DOaZJrsON/eof8A74r6TdU7bqRhT0a26ulqXXHKJampq5HK5dOGFFyoxMVE//elP5XK59OCDDwY6TmBSsvW6ta2qXVsGi2xHWnqG3R5hNmlxQbJWlaZrVUmazihMUVSEOUjRAgAA+LgGPDrS3DOsuHagsXvY8p3jZSVFa05OkubkJGnu4J/F6fETNqcNABBavF5DNR29x3Wv+bqlj99k53gJ0RGanZ2oublJ/nwzOzsx5McUjKnodscdd6isrEx79uxRWlqa//hVV12l2267LWDBAZNNb/+A3jvaqS0VbdpS3q69DbZhV35NJmlebpJWlfiKbMuKUhUfPTHDHAEAAE6krcd17KSnwVdcq2jt8c9hO16E2aTSzAR/Yc33lag0lowCAE6it39Ah5q6daCxW/sbbTrQ2K2DjXY5+j0nvH9+SuxxF3ISNTfHqvyU2LC8kDOmasDbb7+tLVu2KCoqatjxoqIi1dfXByQwYDLoH/Bqd22XNpe3aWtFu96v7fTvlDKkJCNeZw12sq2YnqaU+KiTPBsAAMD4GfB4dbTdoX2DhbWhuTit3a4T3j85LlJzso8V1ubmJqk0M0HREaHdVQAAGB+GYajZ7vIX1vY32nWgwa6qdscJxxBERZg1KyvRl2OGutdykmSNjZz44INkTEU3r9crj2dkxbKurk6JicxzQOjqdPRrd12Xdtd0aVdNp3Yc7Rw2JFjyzS9ZVZKmVaVpWlWSrqxJvlsKAAAIL/0DXtV0OFTe4lBlW48qWx063NytQ03dcp1gJo7JJBWlxQ876ZmTk6Qca4xMpvDrKgAAnB6v11Cj3anKVl+OqWjtUXlLjw402tXZe+IxBOkJ0YNLQxOHjSGIsEzt8UpjKrpddNFFuv/++/XQQw9Jkkwmk3p6enT33XfrsssuC2iAwHjpH/Bqf6Ndu2s6tbu2S7tru3S0vXfE/dLio7SyJM3fzVaYGscvqAAAYFwZhqF2R78qWx2qbO1RxeCJT2WbQzUdvfKcYGmo5Bs6PTs78diyndwkzcpKZNwFAGCE3v4Bf1FtKMdUtPSoqs0xovlkiMVsUklG/Ig5nxmJjCE4kTFl3//+7//WJZdcorlz58rpdOrGG2/UkSNHlJ6erieeeCLQMQKnzTB8Qxx313bp/RpfgW1/g139npFXg6enx2txQbIWFyRrRXGqZmUlUmQDAADj4kRda0MnPyfb1ECS4qMsKs5IUElGvIozElSamaA5OUmalhoXljNxAABjc3zXWkVLjyrbHP5c02hznvRxEWaTpqXFqTgjQcUZ8SrJSNCc7CTNyEoI+c0NJtKYim4FBQXas2ePnnzySe3Zs0c9PT269dZbddNNNyk2NjbQMQKnzNbr9i8T3V3bqT11NnU4+kfcLyUuUosGC2xDX8lxzGQDAACBc3zXmq+gdqy4VtvZd9KuNZPJN9bi+OJaSXq8SjITlJkYzUVBAICfwzWgqrZjF26G/vy4rjVJSo2P8uWY9GPFteKMeBWkxilyii8NDYRTLrq53W7Nnj1bf/3rX3XTTTfppptuGo+4gFHrH/DqYJPdt0R0sIutss0x4n5RFrPm5CZpyXEFtmlpLBUFAACB0T/gVXW7QxWtvq61ipahP3tkdw6c9HEJ0REqzohXcfrQyY7vhGd6ejzdBAAAv6GutYqWwQs4xxXZPq5rLdJiUmFq3LAcUzJ4QYemk/F1ykW3yMhIOZ0n/48JjLe2HpferezQzupO7a7t1N4Gu/pPMDR4WlrcsA62ublJ7MYFAABOm63XrSMt3Spv8c1aqxicu/ZJXWv5KbEjOglKMuhaAwAM53R7VNXm0JEW3wYGlf6Zaz1yukee+w5Ji48almOK0xNUkpmggpTYKb+hQbCMaXnpN7/5Tf30pz/Vb37zG0VEMJQV46u126V3q9q1rbJd2yo7VN7SM+I+1thjy0SXFCRrUUGyUuOp2AMAgLEZWhJ6pLlH5S3d/hOfIy09au12nfRxQ11rJRkJvs61TN+JT1EaXWsAgOEcrgFVtPb4cs3Qny3dquno1Umu4SjSYtK0tPhjOSY93j+GgK61yWdMFbP33ntPGzdu1GuvvaYFCxYoPj5+2O3PPfdcQILD1DSaItvs7EQtn57q72Kbnh7PFWIAAHDKDMNQk905eKLTM1hc8xXZunpPvpFBXnKsSjITVDrUTZARr9KMBGXQtQYA+Ahbn1vlQ/mlucd/Iae+q++kj7HGRmpGpm+jHH/nWgZda6FmTEW35ORkXXPNNYGOBVPUaIpsc3KSdGZxqs4sTtPyolSl0MUGAABOgddrqL6rT0c+csJT3tKjHteJ562ZTFJhatzgSU+iSjMTNCPTt1QnIZrVHgCA4dp7XDoyeAGnoqXHn3NaPqZDOj0h2l9cm5E1+GdmotIToriIEwbG9NvC7373u0DHgSmkpdupdys7Bots7apoHbnpAUU2AAAwFgMer6o7ev0FtSPNvq61itaTz8GxmE0qSovTjMxE/wnPUGcBS0IBAMczDEMt3a7BCzjdwy7idDj6T/q4HGuMv6DmL7BlJHCuG+ZOqejm9Xp177336sUXX1R/f78uuOAC3X333YqNjR2v+BAG2npc2lrRftIim8kkzclO0gqKbAAAYJQGPF5VtDr8XQTlrT0qb+5RVZtD/Z4TF9eiLGbfMtDBk54ZWb7OtWlp8YqKYKkOAOAYwxjskPaPHxgssDX3qPskHdKSVJAa68sxmccu4pRmJigxJnICo8dkcUpFt//4j//Qv/7rv2rNmjWKjY3Vz372M7W0tOjhhx8er/gQovr6PfrbviY9u6tOm8vbhg2BHCqynVmcpjOLU7V8eioDHwEAwEkZhqG6zj7tru3Sntou7anr0of1tpN2rsVGWlSSGX+smyAzQTOyEpmDAwA4qa7e/sE8Y9OeOl++aT9J55rZJBWlxfs71obyTXFGvOKiGD+AY07pX8Ojjz6qBx54QF/72tckSRs2bNDll1+u3/zmNzKb+QVmqvN6Db1b1aHndtXp5Q8b5ej3+G+bk5OklRTZAADAKHQ4+v0nPL4im+2ES3YSoiP8y3OOP+nJS46V2cwcHADAiTndHu1rsPsv5Oyp7dLR9t4R94swm1ScET9sSeiMzEQVpccpOoLxA/hkp1R0q6mp0WWXXeb/fs2aNTKZTGpoaFB+fn7Ag0NoqGzt0fPv1+u5XfXDdl8pSI3V1UvydfUZeZqWFv8xzwAAAKYq34mPTbtrbf5OtpqOkSc+kRaT5uYkaVFBshblJ2tRQbKK0+MprgEAPpbHa6iitWdYt/TBxm4NHL8ca9D09Hgtyrf6ck1BsubmJDHbE6fllIpuAwMDiomJGXYsMjJSbvfJt1NHeOrq7ddfPmjUc7vq9H5Nl/94YnSELl+Yo2uW5qtsWgq7rQAAAD+P11B5S4/21HZp92BnwcGmbnlOcOJTnB4/WGCzanFhiubkJNJVAAD4WIZhqMnu9OWZWpv21PrGEZxol+r0hCgtPu5CzsJ8KyuyEHCnVHQzDEM333yzoqOj/cecTqe+/vWvKz7+WCfTc889F7gIMWm4PV69eahVz+2q08YDLf4hxWaTdO7MDF1zRr4unJvFlQAAACDDMNRgc/qXiO4ePPHpPW78xJD0hGgtLkjW4gJfd8HCvGRZ4xg4DQD4eLY+tz6s881gG+pka+l2jbhfbKRFC/KtxxXZrMpLjqVJBOPulIpua9euHXHsC1/4QsCCweTU7XTr4XeO6vdbjw6bpzInJ0nXnJGnzyzOVWZizMc8AwAACHeGYaimo1eby9u1uaJN26s61HqCE5/4KN+Jz6KCZC0e7C7IscZw4gMA+ERdvf3aWuHLM1sr2lXR6hhxH4vZpFlZib48M3gxpzQjgY10EBSnVHT73e9+N15xYBJyuAb0+61H9dCmSnX1+pYQpydE68rFubr6jHzNzU0KcoQAACCYWrqdvpOf8jZtLm8fNttV8g2gnp2T6F+6s7ggWSUZCbIwhw0AMAp9/R69d7RDmyvatKW8XXsbbDI+MpGgMDXu2DiCgmTNy7UqNorVV5gc2MsWIzjdHj22rVq/fLPCv0VycUa87rhghi5fkMMVAgAApqhup1vvVnbonfI2balo0+HmnmG3R1pMWlKQolWlaVpVkq6F+VbGTgAARs3t8eqDui5f13R5m96v6fKPNRpSmpmgs0rStKo0XcuKUpUazxw2TF4U3eDnGvDoT9trtf6Ncv86+MLUON1xwQx9dnEuxTYAAKYYp9ujXTWd2jK4ZPSDOtuITQ/m5SbprNJ0rSpJ0/LpqYqL4tdLAMDoGIahg03d2lzepi0V7dpe1TFi04Nca4xWlabrrMELOllJjDZC6OC3Isjt8erpHXX6xetH1GBzSpLykmN1+6dKdc3SfEVSbAMAYErweA3trbf5l/G8d7RDroHhHQZFaXG+k5+SdK0sSaPDAABwSmo7en1jCSratbWiTW09/cNuT46L1KoSX4HtrNJ0FaXFMfcTIYui2xTm9Rp6YXe9/t+Gw6rt8M1gyUqK1rc+NUM3lBUoKoJiGwAA4cwwDFW1OfROeZveOdKmbZXtsjuHdxhkJEb7l/GcVZquvOTYIEULAAhFHY7+wdmfbdpc0eY/9xwSG2nRsumpOqskTWeVpmtuTpLMzP5EmKDoNkVtq2zXT17ar731dkm+DRK+cX6JblxRyOwVAADCWHuPS5sr2vXOkdYTbn6QGB2hFcVpOrvUd/JTmplAhwEAYNScbo92HO3U2+Wt2lzepn0N9mGbH0SYTVpckDzYNZ2mJYUpNHwgbFF0m2KOtjl0zysH9Ld9zZKkhOgIfWN1iW5eVcQMFgAAwpDT7dH2qg5tLm/T20fatL/RPuz2KItZS6el6OwZvrlsC/KszHEFAIya12tof6Pd3zV9otEEs7ISdVZpus6ekabl09OUEM25J6YG/qVPEbZet37++hE9uvWo3B5DZpN044pCfWfNTKUnRAc7PAAAECBer6F9DXZ/h8F7RzvV/5GTn9nZiTpnhm+5KJsfAABOVV1nr9450ja4m3W7OhzD57JlJUXrrNJ0X64pSVcmmx9giuI3rDDn9nj1x23Vun/jEXX1uiVJ58/K0A8vm6OZWYlBjg4AAARCbUevv8Ngc0WbP+cPyU6K0dkzfCc/q0rSlZHIBTcAwOjZ+tzaWtGud8p9owmq2hzDbo+PsujM4jR/oY3RBIAPRbcwZRiGNhxo0T0vH1Dl4AfizKwE/ejyuTpvZkaQowMAAGNlGIaa7E7trunyFdrK21Td3jvsPgnRETqzOM3fzVaSEc/JDwBg1OxOt/bW2bS1sl1vH2nTB3Vd8h43l80yOJdtqMi2uCBZkYwmAEag6BZmnG6PXni/Xr99p0pHWnokSekJUVp34SxdX5bPjBYAAEKIYRiq6+zTh/U27a23aW+DXfvqbWr/yDKeCLNJSwqPnfwszOfkBwAwOp2Ofu1tsGlvvV17G2zaV2/T0Y9czJGk4ox4nTO4k/WZJWlKiokMQrRAaKHoFiZaup16bGu1Hnu3xr+ePj7Koi+tKtI3zi9RIh+IAABMal6voap2h/bW27Svwe4rstXbZHcOjLivxWzSjMwEnVmcprNL07WiOJVcDwD4RC3dTu2rH8wxg4W2j+5iPSQvOda/0c7ZpenKTY6d4GiB0EfRLcQdaLTrt+9U6cXdDer3+IYk5yXH6pazinT9sgKuPgAAMAkNeLyqaHX4T3r21du1r8EmR79nxH2jLGbNyk7U/Lwkzcu1akGeVbOyExUTaQlC5ACAUGAYhhptTn+X9NCFnJZu1wnvX5QWp3l5Vs0fzDPzcpOUEh81wVED4YeiWwjyeg29ebhFv32nSpvL2/3HzyhM1q1nF+vieVksIwUAYJLoH/DqcHO39h23dOdAo11Ot3fEfWMizZqTk6T5uVbNz0vS/DyrZmQmKiqCvA4AODHDMFTb0TfYuWbTh4Md0x/dUVSSTCapJCNB83N9OWZ+nlVzc5No1gDGCUW3ENLX79Gzu+r08OYqVbb6NkewmE26ZH62bj17us4oTAlyhAAATG1Ot0cHm7oHl4j6imyHmrr93ejHi4+yaF6uVfPykrRg8MSnOD2eC2cAgJM6fhSB78vXKf1xowjm51kH80ySZmcnKT6aMgAwUfi/LQQ43R79YWu1fvlWhf9qRWJ0hD6/olBrVxUpj7X1AABMuA5Hv/Y32LW/0aYDjd3a32BXeWuPPMdv7zYoKSbC31EwP8+q+blJKkqLl9nMjqIAgBPr6/foUHO3DjTaB/ONXQca7eo9ySiC2TmJmjfUKZ3LKAJgMqDoNom5PV49s7NOP9twRE12pySpIDVWXz5ruq4rK1ACVygAABh3Xq+hmo5e7T/upGd/g92fmz8qNT5qsKtgaJmoVfkpsTKZKLABAE6srcc1LMfsb7SrsrVHJ7iOo5hIs+bmDC4PHeyYZhQBMDlRtZmEvF5Df/2wUf/v74dV1eZbRpqXHKs71szQ1UvyWHYCAMA4cbo9OtzcPezE50Cj/YQbHEi+wdNzc5M0NydJc3OTNCcnSdlJMRTYAAAn5PUaOtruGHEh52QbHKTFR/nyzGCumTfYKc05IRAaKLpNIoZh6M1Drbr3b4e0v9Euyfch+83VpbrpzEJFR9AaDABAoLT3uHzLQhtt/hOfilbHCZeHRkWYNTs70V9cm5uTpNk5SXSdAwBOamh56NAogv0Ndh1s6j7h8lCTSZqeFq85x13ImZeTpIzEaC7kACGM3xQnie1VHbr3bwf13tFOSb6ZbbedW6wvnz2dX+gBADgNY1keOm/wpGfO4IkPGxwAAD7OqS4PnZ19LMfMzUnS7OxENjgAwhD/VweZwzWgO/60WxsONEuSoiPMunlVkb5+XolS4qOCHB0AAKGpxe7UM7vq9PqBlo9dHjo9PX5Y99rc3CRl0lUAAPgETrdHr+5t0l/2NOjDettJl4emJ0Rpbq51WK6Znh4vCxvpAFMCRbcg+8lL+7XhQLMizCZdv6xA3/7UDGVbY4IdFgAAIcft8er1gy166r1avXm4ddgy0eih5aHHFddmZbM8FAAweoZhaG+9XU/uqNGfdzeo2zngv81kOtmFHM7tgKmM3zSD6PWDzXpie61MJunRLy/XqtL0YIcEAEDIKW/p0dM7avXsrnq19RzrNCiblqJrluarbFqKprM8FAAwRp2Ofr2wu15P7ajTgcHZ25Jvs7vryvJ17swMzc5OVFwUp9cAhuNTIUg6HP36p2c+lCTdetZ0Cm4AAJwCh2tAL33QqCd31Gpndaf/eHpCtK5ZmqfrlhaoNDMhiBECAEKZ12toc0WbnnyvVq/ta1a/xyvJt7HOJfOydX1ZgVaVpMnMMlEAH4OiWxAYhqF/fuFDtfW4NCMzQd+7eFawQwIAYNIzDEO7ajr15Hu1+usHjf7d3yxmk1bPytD1ZQVaPTtTkXS0AQDGqK6zV0/vqNMzO+tU39XnPz43J0k3LCvQZxfnKjmO2dsARoeiWxC8uKdBL3/YpAizSfddv1gxkZZghwQAwKTl8Rp6ZMtRPf5utSpaHf7jxenxuq6sQNeckafMJGbmAADGbtPhVj20qVKbK9pkDI4ETYqJ0JVL8nR9WYHm51mDGyCAkETRLQh+tuGIJOn2T83Qgnw+vAEA+DgPvFGu//n7YUlSbKRFly/M0fVlBVpWlMIuowCA0/ZBXZfW/m67v9h2Vmmari8r0MXzsmmQAHBaKLpNMMMwVNfpa1O+tiw/yNEAADC5NXT1af2b5ZKkdRfO1C1nFSkxJjLIUQEAwoVhGPrXF/fJMKTVszL0b5+dr4LUuGCHBSBMUHSbYPa+Af8QzrR4ZgEAAPBx7nnloJxur5YXper2T5XS2QYACKgXdtdrV02X4qIs+r/XLFQW4woABBCThidYa49Tkm8+AK3KAACc3PaqDv1lT4NMJumuK+ZScAMABFSPa0D3vHxQkvTN1aUU3AAEHEW3Cdba3S9JSk+MDnIkAABMXh6vobtf3CdJ+vzyQgZYAwACbv0b5WrpdqkwNU63nj092OEACEMU3SZYW49LkpSeQNENAICT+esHDTrQaFdSTIS+d9GsYIcDAAgz7T0u/fbtKknSP18+h1VIAMYFRbcJ5vH6tsSJjuCtBwDgZPbU2iRJ1yzNVyozUAEAAXawqVv9Hq+mpcXpwrlZwQ4HQJiaEpWfq666SikpKbr22muDHYoiLb633DXgDXIkAIBAmUx5JlzUdDgkScUZCUGOBACCjzwTeNXtvZKkkowEZoYCGDdTouh2xx136NFHHw12GJKkqMEON7eHohsAhIvJlGfCxdHBk6GitLggRwIAwUeeCbzqdt/FncJU8gyA8TMlim7nn3++EhMTgx2GJCnS4ruKQtENAMLHZMoz4cDrNVTT4Su6TUuND3I0ABB85JnAOzpYdOPiDoDxNOmLbps2bdIVV1yh3NxcmUwmvfDCCyPus379ehUVFSkmJkYrVqzQ9u3bJz7QUYoaXF7az/JSAJgUwi3PhIMmu1P9A15FmE3KTY4JdjgAcFrIM5PT0PLSaWlc3AEwfiZ90c3hcGjRokVav379CW9/8skntW7dOt19993atWuXFi1apIsvvlgtLS0THOnoDO6jIJOYGwAAk0G45Zlw8PKHjZKkmVmJirBM+l9VAOBjkWcmn/KWbh1s6pbJJM3KpoMQwPiJCHYAn+TSSy/VpZdeetLb77vvPt1222265ZZbJEkPPvigXnrpJT388MP6wQ9+cMo/z+VyyeVy+b+32+2nHvTH6OrrlyRZYyMD+rwAgLEJtzwT6twerx5+p0qS9KWV04IcDQCcPvLM5PObt3155sI5WcpNjg1yNADCWUhfPu7v79fOnTu1Zs0a/zGz2aw1a9Zo69atY3rOe+65R1ar1f9VUFAQqHAlSbY+tyTJGkfRDQAmu1DMM6Hu5Q8b1WBzKj0hWlcuyQt2OAAwrsgzE6+l26nndtVLkr56bnGQowEQ7kK66NbW1iaPx6OsrKxhx7OystTU1OT/fs2aNbruuuv08ssvKz8//2MT2J133imbzeb/qq2tDWjMXb2+olsynW4AMOmFYp4JZYZh6KFNlZKkm1dNU0ykJcgRAcD4Is9MvD9srVa/x6szCpNVVpQa7HAAhLlJv7w0EDZs2DDq+0ZHRys6OnrcYrEPdbpRdAOAsDGZ8kwo21zern0NdsVGWnTTCpaWAsAQ8kxgOFwD+sO2akl0uQGYGCHd6Zaeni6LxaLm5uZhx5ubm5WdnR2kqD5eS7dvvkJKfFSQIwEAfJJQzDOhqr6rT997eo8k6fqyfPIkgCmBPDNx3B6vvv3E++rqdWtaWpwunMv7C2D8hXTRLSoqSkuXLtXGjRv9x7xerzZu3KiVK1cGMbKT29/gG2Q6K4tdcgBgsgvFPBOK2ntc+uJv31WT3anSzAR998KZwQ4JACYEeWZieL2GfvDsh9p4sEXREWb993WLZDGbgh0WgClg0i8v7enpUXl5uf/7qqoq7d69W6mpqSosLNS6deu0du1alZWVafny5br//vvlcDj8u/9MJk63R+WtPZKkeXlJQY4GACCFV54JRT2uAd3yyHuqbHUo1xqjR7+8XMlxdLkBCB/kmeAyDEP3vHJAz+6qk8Vs0vobz9AyZrkBmCCTvui2Y8cOrV692v/9unXrJElr167VI488ohtuuEGtra2666671NTUpMWLF+vVV18dMYx0MjjU1C2P11BqfJSyk2KCHQ4AQOGVZ0KNa8Cjr/1hhz6osyklLlKP3rpCucmxwQ4LAAKKPBNcv9pUqV+/XSVJ+uk1C7VmLu8rgIljMgzDCHYQk5ndbpfVapXNZlNS0ul1pz3+bo1++PyHOmdGuv5w64oARQgAoSWQn6vhYKq9H4ZhqMP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",
      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Kz_virga = all_out[\"kz\"]\n",
    "mpf = all_out[\"mean_particle_r\"]\n",
    "deff = all_out[\"droplet_eff_r\"]\n",
    "\n",
    "fig = plt.figure(figsize=(15,5))\n",
    "ax = fig.add_subplot(131)\n",
    "plt.gca().get_xaxis().get_major_formatter().set_powerlimits([-3, 3])\n",
    "plt.plot(Kz_virga,pressure)\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.e-7, 10000)\n",
    "plt.gca().invert_yaxis()\n",
    "plt.legend()\n",
    "plt.xlabel(\"Kz \"+str(all_out[\"kz_unit\"]))\n",
    "plt.ylabel(\"Pressure (bar)\")\n",
    "\n",
    "\n",
    "ax = fig.add_subplot(132)\n",
    "plt.gca().get_xaxis().get_major_formatter().set_powerlimits([-3, 3])\n",
    "plt.plot(mpf,pressure)\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.e-7, 10000)\n",
    "plt.gca().invert_yaxis()\n",
    "plt.legend()\n",
    "plt.xlabel(\"mean particle radius \" +str(all_out[\"r_units\"]))\n",
    "\n",
    "ax = fig.add_subplot(133)\n",
    "plt.gca().get_xaxis().get_major_formatter().set_powerlimits([-3, 3])\n",
    "plt.plot(deff,pressure)\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.e-7, 10000)\n",
    "plt.gca().invert_yaxis()\n",
    "plt.legend()\n",
    "plt.xlabel(\"droplet effective radius \" +str(all_out[\"r_units\"]))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(temperature, pressure)\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.e-7, 10000)\n",
    "plt.gca().invert_yaxis()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Kzz/L will be used to calibrate $r_w$. following Ackerman and Marley 2001  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:42.496860Z",
     "iopub.status.busy": "2022-10-30T01:22:42.496539Z",
     "iopub.status.idle": "2022-10-30T01:22:42.497772Z",
     "shell.execute_reply": "2022-10-30T01:22:42.498042Z"
    }
   },
   "outputs": [],
   "source": [
    "Kzz = 3.e10  #cm2/s\n",
    "sigmag = 2.0\n",
    "alphav = 1.3\n",
    "L = pressure_scale_height(gravity, 1500, mu)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:42.507693Z",
     "iopub.status.busy": "2022-10-30T01:22:42.507407Z",
     "iopub.status.idle": "2022-10-30T01:22:43.714400Z",
     "shell.execute_reply": "2022-10-30T01:22:43.714105Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'condensate size (cm)')"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(0, len(temperature)):\n",
    "    plt.plot(rarr, vfs[i, :], alpha=0.2, color=\"gray\")\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")\n",
    "plt.axhline(Kzz / L, label=\"Kzz/H\", color=\"C2\", ls=\"dotted\")\n",
    "plt.ylabel(\"stokes terminal velocity (cm/s)\")\n",
    "plt.xlabel(\"condensate size (cm)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Find the intersection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:43.757265Z",
     "iopub.status.busy": "2022-10-30T01:22:43.720784Z",
     "iopub.status.idle": "2022-10-30T01:22:43.947705Z",
     "shell.execute_reply": "2022-10-30T01:22:43.947403Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.atm.amclouds import find_rw\n",
    "\n",
    "vfind_rw = vmap(find_rw, (None, 0, None), 0)\n",
    "rw = vfind_rw(rarr, vfs, Kzz / L)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, $r_g$ can be computed from $r_w$ and other quantities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:43.952944Z",
     "iopub.status.busy": "2022-10-30T01:22:43.952655Z",
     "iopub.status.idle": "2022-10-30T01:22:44.123144Z",
     "shell.execute_reply": "2022-10-30T01:22:44.122838Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.atm.amclouds import get_rg\n",
    "\n",
    "rg = get_rg(rw, fsed, alphav, sigmag)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:44.136701Z",
     "iopub.status.busy": "2022-10-30T01:22:44.136043Z",
     "iopub.status.idle": "2022-10-30T01:22:44.328611Z",
     "shell.execute_reply": "2022-10-30T01:22:44.328316Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f6b3260a140>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(rg * 1.e4, pressure, label=\"$r=r_g$\", color=\"black\")\n",
    "plt.plot(rw * 1.e4, pressure, ls=\"dashed\", label=\"$r=r_w$\", color=\"black\")\n",
    "plt.plot(mpf,pressure, label=\"mean particle radius\")\n",
    "plt.plot(deff,pressure, label=\"droplet effective radius\")\n",
    "\n",
    "plt.plot()\n",
    "plt.ylim(1.e-7, 10000)\n",
    "plt.xlabel(\"$r$ (micron)\")\n",
    "plt.ylabel(\"Pressure (bar)\")\n",
    "plt.yscale(\"log\")\n",
    "plt.savefig(\"rgrw.png\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This can be simply derived using `AmpAmcloud`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from exojax.atm.atmphys import AmpAmcloud\n",
    "\n",
    "amp = AmpAmcloud(pdb, bkgatm=\"H2\")\n",
    "amp.check_temperature_range(temperature)\n",
    "fsed = 3.0\n",
    "sigmag = 2.0\n",
    "Kzz = 3.0e10\n",
    "\n",
    "rg_layer, MMR_enstatite = amp.calc_ammodel(pressure, temperature, mu, molmass_enstatite, gravity, fsed=fsed, sigmag=sigmag, Kzz=Kzz, MMR_base=MMRbase_enstatite)\n",
    "\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(121)\n",
    "plt.plot(rg_layer, pressure)\n",
    "plt.xlabel(\"rg (cm)\")\n",
    "plt.ylabel(\"pressure (bar)\")\n",
    "plt.yscale(\"log\")\n",
    "ax.invert_yaxis()\n",
    "ax = fig.add_subplot(122)\n",
    "plt.plot(MMR_enstatite, pressure)\n",
    "plt.xlabel(\"condensate MMR\")\n",
    "plt.yscale(\"log\")\n",
    "# plt.xscale(\"log\")\n",
    "ax.invert_yaxis()\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Mie Scattering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "xsmode =  lpf\n",
      "xsmode assumes ESLOG in wavenumber space: mode=lpf\n",
      "======================================================================\n",
      "The wavenumber grid should be in ascending order.\n",
      "The users can specify the order of the wavelength grid by themselves.\n",
      "Your wavelength grid is in ***  descending  *** order\n",
      "======================================================================\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 5/5 [00:02<00:00,  1.99it/s]\n"
     ]
    }
   ],
   "source": [
    "rg = np.median(rg_layer)\n",
    "\n",
    "#mieQpar = pdb.miegrid_interpolated_values(rg, sigmag)\n",
    "\n",
    "\n",
    "from exojax.utils.grids import wavenumber_grid\n",
    "from exojax.spec.unitconvert import wav2nu\n",
    "\n",
    "N = 40000\n",
    "wavelength_start = 8500.0 #AA\n",
    "wavelength_end = 8800.0 #AA\n",
    "\n",
    "margin = 10  # cm-1\n",
    "nus_start = wav2nu(wavelength_end, unit=\"AA\") - margin\n",
    "nus_end = wav2nu(wavelength_start, unit=\"AA\") + margin\n",
    "nugrid, wav, res = wavenumber_grid(nus_start, nus_end, N, xsmode=\"lpf\", unit=\"cm-1\")\n",
    "\n",
    "\n",
    "from exojax.spec.opacont import OpaMie\n",
    "opa = OpaMie(pdb, nugrid)\n",
    "#beta0, betasct, g = opa.mieparams_vector(rg,sigmag) # if you've already generated miegrid \n",
    "beta0, betasct, g = opa.mieparams_vector_direct_from_pymiescatt(rg,sigmag) # uses direct computation of Mie params using PyMieScatt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$\\\\beta_0$')"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(311)\n",
    "plt.plot(nugrid, g, color=\"black\")\n",
    "plt.xscale(\"log\")\n",
    "plt.ylabel(\"asymmetric $g$\")\n",
    "ax = fig.add_subplot(312)\n",
    "plt.plot(nugrid, betasct/beta0, label=\"single scattering albedo\", color=\"black\")\n",
    "plt.xscale(\"log\")\n",
    "plt.ylabel(\"$\\\\omega$\")\n",
    "ax = fig.add_subplot(313)\n",
    "plt.plot(nugrid, beta0, label=\"\\\\beta_0\", color=\"black\")\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")\n",
    "plt.xlabel(\"wavenumber (cm-1)\")\n",
    "plt.ylabel(\"$\\\\beta_0$\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec.layeropacity import layer_optical_depth_clouds_lognormal\n",
    "from exojax.spec.layeropacity import layer_optical_depth_cloudgeo\n",
    "\n",
    "# set dParr by hand...\n",
    "logp = jnp.log(pressure)\n",
    "dlogp = 0.34755\n",
    "dParr = dlogp * pressure\n",
    "\n",
    "dtau_cloud = layer_optical_depth_clouds_lognormal(\n",
    "    dParr, beta0.real, deltac_enstatite, MMR_enstatite, rg, sigmag, gravity\n",
    ")\n",
    "\n",
    "dtau_geo = layer_optical_depth_cloudgeo(\n",
    "    dParr, deltac_enstatite, MMR_enstatite, rg, sigmag, gravity\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 2000x300 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 2000x300 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from exojax.plot.atmplot import plotcf, plottau\n",
    "plotcf(nugrid, dtau_cloud, temperature, pressure, dParr, unit=\"nm\")\n",
    "plt.show()\n",
    "plottau(nugrid, dtau_cloud, temperature, pressure, unit=\"nm\", vmin=-8,vmax=3)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compare the optical depth profile with each other."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#virga\n",
    "pressure_ = all_out['pressure']\n",
    "opd_by_gas_ = all_out['opd_by_gas']\n",
    "\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "#plt.plot(np.mean(dtau_cloud,axis=1),pressure)\n",
    "plt.plot(np.cumsum(np.mean(dtau_cloud,axis=1)),pressure, label=\"ExoJAX/Mie\")\n",
    "plt.plot(np.cumsum(dtau_geo),pressure,label=\"ExoJAX/geometric\",ls=\"dashed\")\n",
    "plt.plot(opd_by_gas_,pressure_,label=\"VIRGA\", ls=\"dotted\")\n",
    "plt.legend()\n",
    "plt.xlim(1.e-8,1.e4)\n",
    "ax.invert_yaxis()\n",
    "plt.yscale(\"log\")\n",
    "plt.xscale(\"log\")\n",
    "plt.xlabel(\"(wavenumber mean) optical depth\")\n",
    "plt.savefig(\"comp_with_virga.png\")\n"
   ]
  }
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