HajimeKawahara/exojax

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documents/tutorials/jupiters/Jupiter_cloud_model.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Jupiter(-like planets) Cloud Model using Ackerman and Marley Cloud Model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we try to compute a cloud opacity using Ackerman and Marley Model.\n",
    "We consider ammonia and water clouds.  \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:37.965127Z",
     "iopub.status.busy": "2022-10-30T01:22:37.963471Z",
     "iopub.status.idle": "2022-10-30T01:22:38.540897Z",
     "shell.execute_reply": "2022-10-30T01:22:38.540563Z"
    }
   },
   "outputs": [],
   "source": [
    "import jax.numpy as jnp\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setting a simple atmopheric model. We need the density of atmosphere."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:38.544103Z",
     "iopub.status.busy": "2022-10-30T01:22:38.543724Z",
     "iopub.status.idle": "2022-10-30T01:22:40.211235Z",
     "shell.execute_reply": "2022-10-30T01:22:40.210931Z"
    }
   },
   "outputs": [],
   "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 = 200.\n",
    "Tarr = T0 * (Parr)**alpha\n",
    "\n",
    "mu = 2.0  # mean molecular weight\n",
    "R = kB / (mu * m_u)\n",
    "rho = Parr / (R * Tarr)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The solar abundance can be obtained using utils.zsol.nsol. Here, we assume a maximum VMR for NH3 and H2O from solar abundance. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:40.213693Z",
     "iopub.status.busy": "2022-10-30T01:22:40.212613Z",
     "iopub.status.idle": "2022-10-30T01:22:40.215940Z",
     "shell.execute_reply": "2022-10-30T01:22:40.215660Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.utils.zsol import nsol\n",
    "\n",
    "n = nsol()  #solar abundance\n",
    "VMR_h2o = n[\"O\"]\n",
    "VMR_nh3 = n[\"N\"]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vapor saturation pressures can be obtained using atm.psat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:40.218059Z",
     "iopub.status.busy": "2022-10-30T01:22:40.217778Z",
     "iopub.status.idle": "2022-10-30T01:22:40.333037Z",
     "shell.execute_reply": "2022-10-30T01:22:40.333268Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.atm.psat import psat_ammonia_AM01, psat_water_AM01\n",
    "psat_nh3 = psat_ammonia_AM01(Tarr)\n",
    "psat_h2o = psat_water_AM01(Tarr)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute a cloud base pressure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:40.346523Z",
     "iopub.status.busy": "2022-10-30T01:22:40.335398Z",
     "iopub.status.idle": "2022-10-30T01:22:40.503575Z",
     "shell.execute_reply": "2022-10-30T01:22:40.502377Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.atm.amclouds import compute_cloud_base_pressure\n",
    "\n",
    "pbase_nh3 = compute_cloud_base_pressure(Parr, psat_nh3, VMR_nh3)\n",
    "pbase_h2o = compute_cloud_base_pressure(Parr, psat_h2o, VMR_h2o)\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."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(Tarr, Parr, color=\"black\", ls=\"dashed\", label=\"T - P profile\")\n",
    "\n",
    "plt.plot(Tarr, psat_h2o / VMR_h2o, label=\"$P_{sat}/\\\\xi$ (water)\", color=\"gray\")\n",
    "plt.axhline(pbase_h2o, color=\"gray\", alpha=0.7, ls=\"dotted\")\n",
    "plt.text(200, pbase_h2o * 0.8, \"cloud base (water)\", color=\"gray\")\n",
    "\n",
    "plt.plot(Tarr, psat_nh3 / VMR_nh3, label=\"$P_{sat}/\\\\xi$ (ammonia)\", color=\"black\")\n",
    "plt.axhline(pbase_nh3, color=\"black\", alpha=0.7, ls=\"dotted\")\n",
    "plt.text(200,  pbase_nh3 * 0.8, \"cloud base (ammonia)\", color=\"black\")\n",
    "\n",
    "\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.0e-5, 1.0e5)\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": "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": 7,
   "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 vmr_cloud_profile\n",
    "\n",
    "fsed = 3\n",
    "VMRbase_nh3 = VMR_nh3\n",
    "VMRc_nh3 = vmr_cloud_profile(Parr, pbase_nh3, fsed, VMR_nh3)\n",
    "\n",
    "\n",
    "VMRbase_h2o = VMR_h2o\n",
    "VMRc_h2o = vmr_cloud_profile(Parr, pbase_h2o, fsed, VMR_h2o)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is the VMR distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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(VMRc_nh3, Parr, color=\"gray\", label=\"VMR (ammonia)\")\n",
    "plt.plot(VMRc_h2o, Parr, color=\"black\", ls=\"dashed\", label=\"VMR (water)\")\n",
    "\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.e-5, 10000)\n",
    "plt.gca().invert_yaxis()\n",
    "plt.legend()\n",
    "plt.xlabel(\"VMR (clouds)\")\n",
    "plt.ylabel(\"Pressure (bar)\")\n",
    "plt.savefig(\"vmrcloud.pdf\", bbox_inches=\"tight\", pad_inches=0.0)\n",
    "plt.savefig(\"vmrcloud.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": 9,
   "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": 10,
   "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": 11,
   "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",
    "\n",
    "T = 1000  #K\n",
    "mu = 2  #mean molecular weight\n",
    "print(\"scale height=\", pressure_scale_height(1.e5, T, mu), \"cm\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need a density of condensates. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.84 g/cm3 (NH3)\n",
      "0.93 g/cm3 (H2O)\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# for ammonia density\n",
    "from exojax.atm.condensate import condensate_density\n",
    "Ttyp_ammonia = 100.0\n",
    "\n",
    "#NH3 ice and H2O ice\n",
    "rhoc_nh3 = condensate_density[\"NH3\"]\n",
    "rhoc_h2o = condensate_density[\"H2O\"]\n",
    "\n",
    "# NH3 water and H2O water\n",
    "# we use water density from chempy (kg/m3), of course it's almost 1 g/cm3 though\n",
    "#from chempy.properties.water_density_tanaka_2001 import water_density\n",
    "#from exojax.utils.constants import Tc_water\n",
    "#rhoc_h2o = water_density(Tc_water)*1.e-3\n",
    "#from exojax.atm.condensate import condensate_density_liquid_ammonia\n",
    "#rhoc_nh3 = condensate_density_liquid_ammonia(200.0)\n",
    "\n",
    "print(rhoc_nh3, \"g/cm3 (NH3)\")\n",
    "print(rhoc_h2o,\"g/cm3 (H2O)\")\n",
    "\n",
    "from exojax.spec.molinfo import molmass\n",
    "\n",
    "mu = molmass(\"H2\")\n",
    "muc_nh3 = molmass(\"NH3\")\n",
    "muc_h2o = molmass(\"H2O\")\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": 13,
   "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(-5, -3, 2000)  #cm\n",
    "drho_nh3 = rhoc_nh3 - rho\n",
    "drho_h2o = rhoc_h2o - rho\n",
    "\n",
    "eta_fid = eta_Rosner(Tarr, vfactor)\n",
    "\n",
    "g = 1.e5\n",
    "vf_vmap = vmap(terminal_velocity, (None, None, 0, 0, 0))\n",
    "vfs_nh3 = vf_vmap(rarr, g, eta_fid, drho_nh3, rho)\n",
    "vfs_h2o = vf_vmap(rarr, g, eta_fid, drho_h2o, rho)\n",
    "\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": 14,
   "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 = 1.e5  #cm2/s\n",
    "sigmag = 2.0\n",
    "\n",
    "\n",
    "Tbase_nh3 = T0 * (pbase_nh3)**alpha\n",
    "Tbase_h2o = T0 * (pbase_h2o)**alpha\n",
    "\n",
    "L_nh3 = pressure_scale_height(g, Tbase_nh3, mu)\n",
    "L_h2o = pressure_scale_height(g, Tbase_h2o, mu)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:42.500440Z",
     "iopub.status.busy": "2022-10-30T01:22:42.500137Z",
     "iopub.status.idle": "2022-10-30T01:22:42.501683Z",
     "shell.execute_reply": "2022-10-30T01:22:42.501923Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Array(2.18413, dtype=float32), Array(0.8241487, dtype=float32))"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Kzz/L_nh3, Kzz/L_h2o"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the powerlaw index of the terminal velocity. If it's within the Stokes flow, alpha should be 2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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": [
       "<matplotlib.legend.Legend at 0x7fb8a95dc3d0>"
      ]
     },
     "execution_count": 16,
     "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(Tarr)):\n",
    "    plt.plot(rarr, vfs_nh3[i, :], alpha=0.2, color=\"C2\")\n",
    "    plt.plot(rarr, vfs_h2o[i, :], alpha=0.2, color=\"C3\")\n",
    "    \n",
    "plt.plot(rarr, 1.e8*rarr**2,label=\"$\\\\alpha=2$\",color=\"gray\",ls=\"dashed\")\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")\n",
    "plt.axhline(Kzz / L_nh3, label=\"Kzz/H (ammonia)\", color=\"C2\", ls=\"dotted\")\n",
    "plt.axhline(Kzz / L_h2o, label=\"Kzz/H (water)\", color=\"C3\", ls=\"dashed\")\n",
    "plt.ylabel(\"stokes terminal velocity (cm/s)\")\n",
    "plt.xlabel(\"condensate size (cm)\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "alphav = 2.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Find the intersection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "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_nh3 = vfind_rw(rarr, vfs_nh3, Kzz / L_nh3)\n",
    "rw_h2o = vfind_rw(rarr, vfs_h2o, Kzz / L_h2o)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, $r_g$ can be computed from $r_w$ and other quantities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "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_nh3 = get_rg(rw_nh3, fsed, alphav, sigmag)\n",
    "rg_h2o = get_rg(rw_h2o, fsed, alphav, sigmag)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "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 0x7fb8a932bcd0>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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29/0uhGuYoqJo9/XXVG/d6pX/HoQ4kz2le/i/lf+HTbMxst1Ibj/3dtWRdEv3hdCgQYPOOKd59913c/fdd3sokXfS7PZj54x52Q9+i93C74W/AzIiJFzHEBBASPfuqmMI4Rb//PWflNWW0T2hO0/0fkLOZjwNr+4REg1nPXIELBYwmQjwskbyP4r+oMZWQ0RgBC0jW6qOI7xc+eo12GtrVccQwq2m9pvKyHYjeXHwiwSZfHNLGFeRQshPOKbFApISve5k7eOnxYwG+ZYVTVfzxx/sveMOdg29DFt5heo4QrhNVFAUz/Z7lvgQ7ztFwNPkt4qfcG6m6GXTYgA7inYA0CWui+Ikwtvlz54NQEhaGqbwMMVphHCt7YXb+SbnG1ki30jeNTQgmsybV4zlltYdoNs6srXaIMKr1e7dS+nXiwCIu+suxWmEcL1/rvsnPx38iZ3ddnJfz/tUx/EaMiLkJywH6vYQCvDCEaHcsrpCSPqDxNkoePO/YLMR1r8/IWmy+lD4lrX71/LTwZ8wG81c1f4q1XG8ihRCfsLRI+RtI0IWu4VDFXU7h7eIaKE4jfBWlsOHKVm4EID4u+5UnEYI16qx1fDP9f8E4K+d/kpqRKriRN5FCiE/YTnonT1Cu4t3Y9NshJnDSAhJUB1HeKnCt99Bs1gISU8nNCNDdRwhXEbTNKb8OIWdRTuJCorijq53qI7kdaQQ8gOapmE54J17CG0t2ArUrRiTfTBEU2ia5txDK36s9AYJ3/Ju1rt8sesLTAYT/xz4T6KDo1VH8jrSLO0HbMXFaJWVAAQkJytO0ziOozXOjZeeDtE0BoOB1JdepHrHDoI6dFAdRwiXKagq4LXM1wB48PwHuTD5QsWJvJMUQn7AsWLMFB+PMci7NtZyFEJpcWmKkwhvF3zOOaojCOFScSFx/HfIf/ku9ztu6nST6jheSwohP+CtewjV2GrYWbQTgLR4KYRE41X++ivmVq0wJ8rp8sI3dUvoRreEbqpjeDXpEfIDVi89Y2xH4Q6smpXY4FiSw7xrSk+oZ6+tZf//TWLXxZdQuWGD6jhCuIRdszP1p6lsK9imOorPkELIDzhPnfe2/qCCummxLnFdpFFaNFrJZ59hzcvDFBdHSJqMKArf8Hrm68zbPo8x346hvLZcdRyfIIWQH3BOjXlZIbQ1/9iKMSEaQ7PZKJgzB4C422/DEBioOJEQZ++7Pd8xa/MsAB7u9TDhgeGKE/kGKYT8gGPpsDnFu6bGHEvnpT9INFbZ0qVY9uRiiooi+tprVccR4qztLNrJP9b8A4CbO9/MyHYjFSfyHVII+QGLF/YIVVoq2V2yG5ARIdE4mqZRMPtNAGJGjcIYJoerCu9WUlPC/d/fT5W1iguaXcD/Zfyf6kg+RQohH2evrsZWUAB419TY74W/Y9fsJIYmkhAqO0qLhqv4YS3VWVkYQkKI+ZssKRbezWa38fDqh9lbtpfmYc15YeALBBhlwbcrSSHk4xyjQYbQUIxRUYrTNJxjWqxLXBfFSYS3sezNxRAcTPR11xIQE6M6jhBnpcZWA0CwKZiXLnqJmGD5nnY1KSt93LGl88letfLq+KM1hGiMmL/+lYihQ1XHEMIlQs2hvHbRa+ws3kmn2E6q4/gkKYR8nDf2B4GsGBNnJyA2VnUEIc5KSU0JkYGRGAwGTEaTFEFuJFNjPs552Gqy9xRC5bXl7CndA8jUmGi42n37qcrMVB1DiLNWUlPCTV/fxJNrn3ROjQn3kULIxzlHhJKbKU7ScNsKt6Gh0SysGXEhcarjCC9RMGsWOTf+lbx/v6g6ihBNZtfsTF49mdyyXH4++DNVlirVkXyeFEI+znLQ+84ZyyrIAmRaTDScJS+Pks8+AyB8QH+1YYQ4C69nvs7q/asJMgXx4uAXiQ6OVh3J50kh5OOszqkx71k6LyvGRGMV/e89NIuFkJ49CU1PVx1HiCZZnrvcuXP0k72fpHNcZ8WJ/IMUQj5M0zTn1FiAFxVCjsMEpRASDWErL6foo48AiBszWnEaIZomuySbR9c8CsDfOv+NEe1GKE7kP6QQ8mG2wkK02lowGDAnJamO0yBltWXklOYAMjUmGqb440+wl5UR2KYN4YMHq44jRKPZ7DYmrphIuaWc9KR02Tnaw6QQ8mGOFWMBCQkYzGbFaRrm98LfAUgOS5aNw8QZabW1FL77LgBxo/+OwSg/0oT3MRlNTMqYRIeYDvxz4D8xG73j57WvkH2EfJizUdqLpsUcjdIyLSYaonbfPjAaMCXEEzlSDqEU3qtvSl96N++N0SDFvKdJIeTDrIcOAxDQzHuWzkujtGiMoLZtab9kCbW5uRgDA1XHEaJRMvMyiQuOo0VkCwApghSRd92HWYsKAQiI8569eKRRWjSWwWwmqF071TGEaJRDFYe4//v7ueHrG5wj4UINKYR8mK2oCACTlxw8WV5b7myUlkJInIm1qAjNZlMdQ4hGq7XVMnHFRAqrC0kJT6FtVFvVkfyaFEI+zFZUDIApOlppjobaVlg3GtQsrBmxwXJWlDi9g48+xs5+/Slbtkx1FCEa5flfnue3/N+IDIxk5qCZBAcEq47k16RHyIdZC/IBCIjzjqLCMS3WOVY2EROnZzl0iPJVq8BqxZyaqjqOEA32xa4v+HjHxxgw8Fz/52gR0UJ1JL8nI0I+zHrwEAABzbxj1ZhjREimxcSZFP7vf2C1Enr++QR37Kg6jhANsr1wO1N+nALA2O5j6Z8qx8HogRRCPkqz2bAcrls1Zm7uHYWQLJ0XDWErL6d43scAxP79dsVphGi4Ob/NocZWQ9+UvoztPlZ1HHGUTI35KGt+PlitYDIRkJCgOs4ZVVoqyS7JBqQQEqdX/PEn2MvLCWzXjvCBA1XHEaLBpvabSmpEKrd0uUWWyuuIFEI+yuo4YywxEYPJpDjNme0o2oGGRkJIAvEh8arjCJ3SLJa6aTEg9rZbZSdp4VUCTYGMP2+86hjiT+SniI+yHKrrD/KWXaVlWkw0ROW6dVgPHsQUF0eU7CQtvMAvB3/hpQ0vYbVbVUcRpyAjQj7Kcc6Y2Ut2lXY0SneOkxVj4tTCevemzRefY9m3H2NQkOo4QpzW4YrDPLjqQQqrC4kKjOK2tNtURxInIYWQj7IcOjo1luwlhdDRpfOdYjspTiL0Lviccwg+5xzVMYQ4LYvd4iyCOsZ05MZON6qOJE5BpsZ8lGPpvNkLls7X2GrYVbwLgHPjzlWcRuiVrbhYdQQhGuyl9S+xMW8j4eZw2TRR56QQ8lHOHiEvWDr/R9EfWDUrMUExJIUmqY4jdKhm92529h/AgUcmy7EaQve+2/Mdc7PmAnUrxVpGtlScSJyOFEI+yjk15gU9Qsf3BxkMBsVphB4VvjMXzWLBVlbmFasghf/KLc3l8R8eB+C2c2/j4pYXK04kzkQKIR+k1dZiO1J3vIY3rBrbUbQDgI6xskOwOJG1sJCSzz8HIO62WxWnEeL0NuZtxGK3cF7iebJU3ktIs7QPsuTlAWAIDPSKk+f3le0DoGWEDB+LExV99BFaTQ3BaWmEZGSojiPEaV3Z/kr6pvTFardiNppVxxENIIWQD3JuptismVdMNe0v3w9ASniK4iRCb+w1NRS9/wEAsbfd5hXfz0LIprDeRabGfJDl0NEzxrygP0jTNA6UHwAgNVxOERf1lX71NbaCAgKaNSNy6BDVcYQ4payCLDLzMlXHEE0ghZAPcjRKm71gD6GDFQeptlUTYAygWbj+8wrPKvp4HgCxN/8Ng1mmGYQ+ldSU8MD3DzBq8Sj+l/U/1XFEI8nUmA9y7CEU4AV7CDlWjLWPbi/z6eIELWfNouiTT4i+7jrVUYQ4Kbtm59E1j3Kg4gAtIlrwl/Z/UR1JNJIUQj7o2Dlj+h9hcewo3TlWjtYQJzJFRxN/xx2qYwhxSnO3zmXlvpUEGgP518B/EREYoTqSaCSZGvNBzj2EkvS/OeHvhb8DcrSGqE+rrVUdQYgz2pi3kZc2vATAIxc8ImcleikphHyQ1dEs7QV7CMlhq+JkDk2fTs5fb6Jy/XrVUYQ4qaLqIiatnIRNszG8zXCu7XCt6kiiiWRqzMfYa2qwFRYC+l81VlhdSF5lHgYMnBMjh2iKOrbiYko++xytqgrNKsdpCH36Nudb8irzaB3Zmid7PylbO3gxKYR8jPVw3WiQITgYY1SU4jSn93tB3bRYy8iWhJnDFKcRelH0ySdoVVUEdepEaK/zVccR4qRu6HQD4YHhtI9uT6g5VHUccRakEPIxFsep80lJuv8LxTEtJv1BwkGzWI5toHjLLbr/Hhb+7fK2l6uOIFxAeoR8jPXw0aXzXtAftL1wOyCFkDim7LvvsB46hCkujsjLh6uOI0Q9RdVFTF49mfyqfNVRhAvJiJCPce4q7QUrxmRESPxZ4dx3AYi58UaMQUGK0whxjF2z8481/2DN/jUcrjzMW0PfUh1JuIiMCPkY66Fj54zpWaWlkj2lewAphESdqt9+oyozE8xmYm68QXUcIep5e8vbrNm/hiBTEI/0ekR1HOFCMiLkYxwjQgFJiYqTnN7O4p1oaMSHxMsBhQKA4M6dSXnx39Tm7iUgIUF1HCGcMvMyeWXjKwA80usRWeXqY6QQ8jFWx67SOj9eQ/qDxJ8ZAgKIvOwy1TGEqKekpoQHVz2ITbMxrPUwrulwjepIwsVkaszHWA47NlPU99SY9AcJIfRO0zQe/+FxDlUcomVES57o/YSsZPRBUgj5EK22FltBAaD/HiHHiFDH2I6KkwjV7DU1ZF99DfmzZmOvrlYdRwinwupCdpfsxmw088LAFwgPDFcdSbiBTI35EEveEQAMgYGYoqPVhjkNq93KjqIdAHSKkREhf1e6aDHVWVlYi4qIG/131XGEcIoLiWPeFfPYlLeJLnFdVMcRbiIjQj7k+BVjeh6+zS3NpcZWQ0hACC0iWqiOIxTSNI3C/x1dMn/TXzEEyN9mQj1N05z/HWYOo09KH4VphLtJIeRDvGUPoe1FddNi58Scg8loUpxGqFS1cSM1WdswBAURfa0cWinUc/QF/S/rf/UKIuG75M8vH+LcVVrnhdDvhXVnjHWMkf4gf1f47v8AiBo5goCYGMVphIDP/viMz3d9jmm3iQuTL6RDTAfVkYSbyYiQD3GOCDXTdyEkjdICwHLoEGVLlwIQc/PNitMIAbtLdjP9l+kA3NPjHimC/IQUQj7EcfJ8QJLOV4wVSSEkoOijj8BmI/T88wnuKN8LQq0aWw0PrXyIKmsVFyRfwN/TpHHfX/hFIXTVVVcRExPDtT7eg2BxTI3peEQovyqf/Kp8DBjoEC1/bfmzyCFDiLrySmJvu1V1FCH417p/sb1oO7HBsUzvN136F/2IXxRC48eP591331Udw+2sh/MAMCfq93gNx7RYq8hWhJpDFacRKgV36ULz558j4uKLVUcRfm557nI+/P1DAKb2nUpCqBzx4k/8ohAaPHgwERERqmO4na24GABTbKzaIKdx/IoxIYTQg8OVhwkwBHBLl1von9pfdRzhYbovhFatWsWIESNo3rw5BoOBzz777ITHvP7667Rp04bg4GDS09NZvXq154MqZq+uRju6K6+eN1OURmmhaRpHXnuNil9+QbPZVMcRgr92+isfXP4BE86boDqKUED3hVBFRQXdu3fn1VdfPenn582bx4QJE3j00UfZuHEj/fv3Z9iwYeTm5jbp9WpqaigtLa334Q1sJUdzmkwYw/W7DbxjR2lZOu+/anbsIP+VV9l711g0q1V1HOHH7Jrd+d+d4zpjNpkVphGq6L4QGjZsGFOnTuXqq68+6ednzpzJ6NGjGTNmDJ07d+bFF1+kRYsWvPHGG016venTpxMVFeX8aNHCO3Y+thXWnTFmio7W7a7SNbYaskuyARkR8melX34JQNiFF2IMClKcRvirzLxMrv3yWucotfBfui+ETqe2tpb169czZMiQevcPGTKEtWvXNumakydPpqSkxPmxd+9eV0R1O4tz6bx+G6V3Fe/CptmIDIwkKVS/K9uE+9irqyn+ZD4A0dddpziN8FdltWU8vOphdhbt5N0s319II07Pq3eWzs/Px2azkfSnnZSTkpI4dOiQ8/bQoUPZsGEDFRUVpKamsnDhQs4///yTXjMoKIggL/wr1bliTMd7CB3fH6TXUSvhXqVfL8JWUoI5JYXwgQNUxxF+SNM0nvnxGQ5UHCAlPIXJvSarjiQU8+pCyOHPv1Q1Tat335IlSzwdyeOOHa+h3xEh6Q/yb5qmUfT++8DRA1ZNsk+L8LzPd33O4pzFmAwmnh/wPOGB+u2pFJ7h1VNj8fHxmEymeqM/AHl5eSeMEvk6x9SYng9cdRRCsnTeP1VlZlKdlYUhKIioU/T8CeFOuaW5TPt5GgB397ib7gndFScSeuDVhVBgYCDp6eksPXpekcPSpUvp06ePolRqOKbGAhL1WQhpmiZHa/g5W1ExAcnJRA4fLgesCo+z2C08vOphqqxVZCRlMDpttOpIQid0PzVWXl7OH3/84bydnZ1NZmYmsbGxtGzZkokTJzJq1CgyMjLo3bs3s2fPJjc3l7FjxypM7XnHzhnTZyGUV5lHSU0JJoOJdtHtVMcRCkRcNJjwAf2xV1SojiL8UEVtBaHmUCIDI5neX47QEMfovhBat24dgwcPdt6eOHEiALfeeivvvPMON9xwAwUFBUyZMoWDBw+SlpbGokWLaNWqlarISljyHM3S+uwRcowGtY5sTZDJ+5rRhWsYAgIwRUWpjiH8UHRwNLMvnc2esj00C9PvohLhebovhAYNGoSmaad9zN13383dd9/toUT6Y6+uxl5SAuh3RMjZHxQr/UH+RrNaKVu+nIjBgzGYZcM64Vk2u805+mMymmgb1VZxIqE3Xt0jJOo4psUMISEYdXqmmjRK+6/yFSvYP/5+sq+7/ox/1AjhSpqm8fDqh5n601SqrFWq4widkkLIBzhXjCUm6nZ/nh2FUgj5q6IP6k71Du/fX7ffn8I3fb7rc5bkLGHBjgXOXe2F+DMphHyAc8WYTqfFLHYLOaU5gBRC/qYmO5uKtWvBYCD6hhtUxxF+pNJSyb/W/QuAe3reQ5e4LooTCb2SQsgHWPP0vWLsSOURbJoNs9FMYqg+m7mFexR/NA+A8EGDCExNUZxG+JMFOxdQXFNMi4gW3HbubarjCB2TQsgHHNtMUZ9FxoHyAwA0C2uG0SDfcv7CXlVF8cKFQN1O0kJ4isVmYe7WuQDcnnY7AUbdrwsSCslvJR+g980UD1YcBCA5LFlxEuFJpYsWYS8txdyiBWF9+6qOI/zIF7u+4HDlYRJCEriy3ZWq4widk0LIB1jzHIWQPkeEcstyAUgJl6kRf1KVmQlAzA3XYzDKjxrhGXbNzge/fwDArefeSqApUHEioXdNGi/Myclh9erV5OTkUFlZSUJCAj179qR3794EBwe7OqM4g2O7SuuzEHKsGOsQ00FxEuFJyc88Q8xNN2FOlpFA4TlGg5G3hr7F3K1zuanzTarjCC/QqELogw8+4OWXX+aXX34hMTGRlJQUQkJCKCwsZNeuXQQHB/O3v/2Nhx9+2O92dlZFs9uxHDkC6PfA1Z3FOwFZMeaPgjt3Vh1B+KGooCjGnzdedQzhJRo8Xn3eeecxc+ZMbr75ZnJycjh06BDr169nzZo1ZGVlUVpayueff47dbicjI4NPPvnEnbnFUbaiIrBYAAiIj1ec5kSVlkr2lu0FZETIX9grKrAVF6uOIfzMjqIdLNy5UDbtFI3W4BGhZ555hssvv/yUnw8KCmLQoEEMGjSIqVOnkp0tm1d5gqM/yBQbiyFQf3PhfxTXHZgbHxJPbHCs4jTCE4oXLCDvXzOJu/MOEu65R3Uc4QdqbbU8svoRdhbtpLimmNvTblcdSXiRBo8IOYogq9XK3LlzOXTo0CkfGx8fz/nnn3/26cQZWXR+6rzjaI0O0TIa5A80TaPoo3loNTUExErhKzzjlY2vsLNoJ7HBsYxoN0J1HOFlGr2UIyAggHHjxlFTU+OOPKKRHCNCZp2uGNtZJP1B/qTyl1+p3b0bY2gokSNGqo4j/MCvh3517hn0VO+niA/RX4uA0LcmrWm94IILyDy6NFaodWwPIZ0WQkcbpaU/yD8Uz/sIgMgRIzCFhylOI3xdWW0Zj655FA2Nazpcw+CWg1VHEl6oScvn7777biZOnMjevXtJT08nLKz+D7xu3bq5JJw4M+ceQjqcGtM0zTkiJIWQ77MWFFC69DsAYm6Uc8WE+03/eToHKw6SGp7KQ+c/pDqO8FJNKoRuOHp44vjxx5YnGgwGNE3DYDBgs9lck06c0bHNFBMUJzlRflU+xTXFGA1G2ka1VR1HuFnxp5+CxUJw926ybF643c6inXy1+yuMBiPT+08n1ByqOpLwUk0qhGRFmH5Yjuh3aszRKN0yoiXBAbLRpi/TNI2ST4+eK3bDjYrTCH/QIaYDbw19i22F2+iR2EN1HOHFmlQIyWaJ+mHNO7qZog4LIZkW8x8Gg4FW786leOFnRA67THUc4ScymmWQ0SxDdQzh5c7qSN6srCxyc3Opra2td//IkbJaxBM0iwVbQQGgzx4haZT2LwEJCcTfeYfqGMLHLc9dTvvo9rSMbKk6ivARTSqEdu/ezVVXXcVvv/3m7A2Cur8KAekR8hBrQQFoGpjNmGJiVMc5gXPpfLQsnfdljt5AIdxtb+leHln9CAD/G/Y/OsZ2VJxI+IImLZ+///77adOmDYcPHyY0NJStW7eyatUqMjIyWLFihYsjilNxNkonxOvudG+b3cbukt0AtI9prziNcKeCWbPYc9vtVPz0k+oowofZ7Db+seYfVFmrSItPk5Fm4TJN+u35448/MmXKFBISEjAajRiNRvr168f06dPrrSQT7nWsENLfirG9ZXupsdUQbAomNTxVdRzhJprNRvHHn1D5009Yj+5yLoQ7vLP1HTKPZBJmDmNq36kYDfr64094ryZ9J9lsNsLDw4G64zQOHDgA1DVRb9++3XXpxGlZnLtK67c/qF10O0xGk+I0wl0q1q7FcuAAxqgoIoYOVR1H+KgdRTt4LfM1AB7p9QjNw5srTiR8SZN6hNLS0ti8eTNt27blggsuYMaMGQQGBjJ79mzatpX9YjxFzyNCfxTVHbbaPlqmxXxZ0bx5AERdORJjsGyRIFzPYrPwj9X/wGK3MKjFIK5sd6XqSMLHNKkQeuyxx6ioqABg6tSpXHHFFfTv35+4uDjmHf3BKNzPsXRej3sIyYox32fNz6f8+xUAxFx/vdowwmd9vONjthdtJyYohid7PymN+cLlmlQIDT1uCLxt27ZkZWVRWFhITEyMfJN6kK2oCABTrH5XjMmIkO+qWLsWbDaCu3QhqL38fxbucf0511NcU8w5MefIgarCLc5qHyGAvXv3YjAYSE2VhlhPs5WUAGCKilYb5E9qbDXkluUCMiLkyyp+rFslFtant+IkwpeZTWbu6XGP6hjChzWpWdpqtfL4448TFRVF69atadWqFVFRUTz22GNYLBZXZxSnYCt1FEKRipPUl1OSg12zExkYSUKI/vqXhGuEXtCL8MGDCes/QHUU4YPW7F+DxSa/T4T7NWlE6N5772XhwoXMmDGD3r3r/hr88ccfeeqpp8jPz+c///mPS0OKk3OOCEXqqxBy9Ae1j24vU6U+LPovfyH6L39RHUP4oHWH1nH3d3fTKbYTc4fNJSQgRHUk4cOaVAh9+OGHfPTRRwwbNsx5X7du3WjZsiU33nijFEIeoNls2AoKATDF62ve3LFiTKbFhBCNVWmp5LEfHkNDo0tcFymChNs1aWosODiY1q1bn3B/69atCQwMPNtMogGsBQVgt4PRSEBcnOo49fxRLEvnfZm9upqC//7XuY+VEK40c/1M9pfvJzksmUkZk1THEX6gSYXQPffcwzPPPENNTY3zvpqaGp599lnuvfdel4UTp+ZcOh8Xh8Gkrw0LpRDybWVLlpD3z3+xZ9Qo5zmDQrjCjwd+ZN72ui1Ynun7DOGB4YoTCX/Q4Kmxq6++ut7t7777jtTUVLp37w7Apk2bqK2t5eKLL3ZtQnFS1iP63EyxwlLB/vL9gBRCvqr4k/kARF15pfSACZcpry3nybVPAnBjxxu5IPkCxYmEv2hwIRQVFVXv9jXXXFPvdosWLVyTSDSIXjdT3FW8C4D4kHiig6PVhhEuV7M7m8p168BoJPpPfxwJcTZe3PAiBysOkhqeygPpD6iOI/xIgwuht99+2505RCNZjxwthHQ2IuQohGQ0yDcVL6gbDQrv3x9zs2aK0whfMqrLKHYW7eTenvcSag5VHUf4kbPeUFGo4TxnTGcjQscvnRe+RautpeSzzwGIvv46xWmEr2kV2Yp3LntHpluFxzW4Wfqyyy5j7dq1Z3xcWVkZzz//PK+99tpZBROnp9cRITls1XeVrViBraAAU0I84QNkE0XhGrmluc7/liJIqNDgEaHrrruO66+/noiICEaOHElGRgbNmzcnODiYoqIisrKyWLNmDYsWLeKKK67ghRdecGduv+cshBL1VQg5psbaRbdTnES4muXAAQxBQUT/5S8YzGbVcYQPWLN/Dfcsu4ebO9/MpIxJUggJJRpcCI0ePZpRo0Yxf/585s2bx5tvvklxcTFQV8V36dKFoUOHsn79ejp27OiuvOIoPY4IldaWkldVN2UnhZDvibvtNqKvvhrNZlMdRfiAstoynlr7FHbNjl2zSxEklGlUj1BgYCA33XQTN910EwAlJSVUVVURFxeHWf5C9BjNbseanw/oqxByjAYlhSYRERihOI1wB70d5yK81z/X/ZPDlYdpEdGC8eeNVx1H+LEmbajoEBUVRbNmzaQI8jBbYSHYbGAwEKCj4zVkI0XfpNntVO/YoTqG8CFr96/l052fYsDAM32fkWM0hFJnVQgJNRzTYqbYWAwB+ln4J/1Bvqny55/JHnkle26/XXaSFmetvLacp358CoC/dvor6UnpagMJvyeFkBfSY38QyB5Cvqp4/gIAAlu1kj4OcdZmrp/JwYqDpISncP9596uOI4QUQt5Ir4XQ7pLdALSNbqs4iXAVW0kJZUuXAhB9zbWK0whvp2kaqRGpNAtrxpQ+U2TjRKEL+plXEQ2mx0LIYrdwpLIuV0p4iuI0wlVKvvoKrbaWoI4dCU47V3Uc4eUMBgN/T/s7t517G0aD/B0u9KHJ34nFxcX897//ZfLkyRQWFgKwYcMG9u/f77Jw4uSc54zpqBA6UnkEDY0AYwCxwbGq4wgXKVnwKQDR11wt02LCZaQIEnrSpBGhzZs3c8kllxAVFUVOTg533HEHsbGxLFy4kD179vDuu++6Oqc4jh5HhA5XHgbqls7LDznfUL1tG9VZWRjMZiJHjFAdR3i5L3d9SaApkItbXkyAUSYjhH406TfWxIkTue2229i5cyfBwcHO+4cNG8aqVatcFk6cnB4LoX1l+wBIDktWnES4SunXXwMQftFFBMTEKE4jvNnB8oNM/Wkqk1ZO4rs936mOI0Q9TSrLf/31V2bNmnXC/SkpKRw6dOisQ4nT0/Nmim2jpFHaVySMH09Ijx4EJCWpjiK8mKZpPP3T01RaK+mR0IMhrYeojiREPU0qhIKDgyktLT3h/u3bt5Ogo1/OvkjTtONGhPSzmeKuEtlDyNcYAgOJuOQS1TGEl/ti1xf8sP8HAo2BPN33aZk6F7rTpO/IK6+8kilTpmCxWIC6lQC5ubk88sgjXHPNNS4NKOqzl5Wh1dQA+hoR2l1ct3ReCiHfIBsnClfIr8pnxq8zABjXY5yMGAtdalIh9M9//pMjR46QmJhIVVUVAwcOpH379kRERPDss8+6OqM4jmNazBgejvG4/iyVqq3V7Cuv6xGSQsj7WQ4fZteQoRx55VU0u111HOHFpv08jdLaUjrHdua2c29THUeIk2rS1FhkZCRr1qxh+fLlbNiwAbvdznnnncclMozudnpcOr+ndA92zU5UUBRxwXGq44izVPL5F1j27qXi559IuO9e1XGEl/q98HeW7llKgCGAZ/o+IyvFhG41+jvTarUSHBxMZmYmF110ERdddJE7colT0HOjdLuodrLXjJfTNI2ST4/uHXTVVYrTCG/WKbYTbw19ix1FO+gY21F1HCFOqdGFUEBAAK1atcJms7kjjzgDZ6O0jk6ddzRKt4lqoziJOFtVGzOpzcnBEBJCxNDLVMcRXu78ZudzfrPzVccQ4rSa1CP02GOP1dtRWniONV9/U2OORmk5bNX7lSxcCEDk0KGYwsMUpxHe6Lcjv7G3bK/qGEI0WJMmbV9++WX++OMPmjdvTqtWrQgLq/8Dc8OGDS4JJ07kHBFK1E8h5BgRksNWvZu9qorSxYsBiLpapsVE41VaKnlw1YMUVhfyykWvcEHyBaojCXFGTSqE/vKXv7g4hmgom6NHSCdTYxabhdzSXKCuR0h4r7LvlmEvL8ecmkpoRobqOMILvZr5KvvL99MsrBlp8Wmq4wjRIE0qhJ588klX5xAN5BgRMumkENpTugebZiPMHEZiaKLqOOIsBJ3TgejrriOwTRsMRtn0TjTOb0d+4/1t7wPwxIVPEGaWqVXhHWQ9o5exHtHXqrHdJUc3UpQVY14vuGNHkp+ZojqG8EIWu4Unf3wSu2ZneJvh9E/trzqSEA3WpELIaDSe9peerChzD622FltxMaCfQkhWjAkh3tnyDjuLdhIdFM3DvR5WHUeIRmlSIbTw6MoSB4vFwsaNG5k7dy5PP/20S4KJE1kLCur+w2zGFBWlNsxRcrSG99M0jSMvv0zEoEEEd+smI3uiUfaU7uE/m/4DwEPnP0RscKziREI0TpMKoSuvvPKE+6699lrOPfdc5s2bx+jRo886mDiRczPF2Fjd9HA4V4zJGUJeq2pjJgVv/IfCd+ZyzprVGMKkt0M0XLOwZtyedjvbC7dzRdsrVMcRotFc2iN0wQUXcMcdd7jykuI4eusPstlt7CnZA8jSeW9W8vnnAEQOGYJRiiDRSEGmIO7teS+apsloovBKLhtWqKqq4pVXXiE1NdVVlxR/4txMUScrxvaX76fWXkuQKYjmYc1VxxFNYK+pObZ30FV/URtGeJWy2jKsdqvzthRBwls1aUQoJiam3je9pmmUlZURGhrKe++957Jwor5j54zpoxBynDHWOrI1JqNJcRrRFOXfr8BeWkpAcjKhvXqpjiO8yNM/Pk1uaS7P9H1GzhITXq1JhdC///3veoWQ0WgkISGBCy64gJiYGJeFE/U5VoyZoqOV5nBwLJ2X/iDvVfHDGqDuSA299J0J/Vu1bxVLcpZgMpiwa3bVcYQ4K00qhG677TYXxxANYS8tA8AYGak4SR1HIdQmWpbOe6vKX34FIPQCGQ0SDVNpqWTqT1MBGNVlFJ3jOitOJMTZadKfgN988w1r1qxx3n7ttdfo0aMHN910E0VFRS4L5ypXXXUVMTExXHvttaqjnBVbWV0hZIrUx9L57JJsQEaEvJWtvLzue8pgIDQ9XXUc4SVezXyVgxUHSQlPYVz3carjCHHWmlQIPfjgg5SWlgLw22+/MXHiRIYPH87u3buZOHGiSwO6wvjx43n33XdVxzhr9pISAEwR4YqT1PWFSSHk3Uzh4XT4YQ3tlnyDSSejjELfthZsdR6j8diFjxFqDlWcSIiz16SpsezsbLp06QLAggULGDFiBNOmTWPDhg0MHz7cpQFdYfDgwaxYsUJ1jLNmLSwEwBQbpzgJHKk6QrmlHKPBSKvIVqrjiCYyGAwEtmypOobwAla7lafXPo1dszOszTD6pfRTHUkIl2jSiFBgYCCVlZUAfPfddwwZMgSA2NhY50hRQ61atYoRI0bQvHlzDAYDn3322QmPef3112nTpg3BwcGkp6ezevXqpsT2enpaNeboD2oR0YJAU6DiNKKx7JWVaLW1qmMIL1JSU0KQKYiIwAgeOv8h1XGEcJkmjQj169ePiRMn0rdvX3755RfmzZsHwI4dOxq9j1BFRQXdu3fn9ttv55prrjnh8/PmzWPChAm8/vrr9O3bl1mzZjFs2DCysrJoefQv2fT0dGpqak547rfffkvz5o3b36ampqbetRpb2LmLvbYW+9EsAXHqR4QcR2vIGWPeqejDjyh4803i7x5H7C23qI4jvEBcSBxzh80lpySH+BD1f4wJ4SpNKoReffVV7r77bubPn88bb7xBSkoKAIsXL+ayyy5r1LWGDRvGsGHDTvn5mTNnMnr0aMaMGQPAiy++yJIlS3jjjTeYPn06AOvXr2/Kl3FS06dP1+V5abajo0GYzRh1cM6Yoz9ICiHvVPLFF9iKizEEymieaDijwSi7yAuf06RCqGXLlnz11Vcn3P/vf//7rAMdr7a2lvXr1/PII4/Uu3/IkCGsXbvWpa/lMHny5HoN36WlpbRo0cItr9UYzmmx+Hhd7OAqjdLeq/r336nZvh2D2Uzkaf4IEQJgee5yNuZtZFz3cdIcLXxSkwqhDRs2YDab6dq1KwCff/45b7/9Nl26dOGpp54i0EV/Zebn52Oz2UhKSqp3f1JSEocOHWrwdYYOHcqGDRuoqKggNTWVhQsXcv7555/0sUFBQQQFBZ1Vbnew5tedPK+HaTGQESFvVvL5FwCEDx6MSQeji0K/KiwVPPvzs+RV5hEVFMWYrmNURxLC5ZrULH3XXXexY8cOAHbv3s2NN95IaGgon3zyCQ895Pomuj+PgDT2cL8lS5Zw5MgRKisr2bdv3ymLID3T0zlj5bXl5FXlAVIIeRvNaqXkqy8BiLpypOI0Qu9e3fgqeZV5pIancnPnm1XHEcItmlQI7dixgx49egDwySefMGDAAD744APeeecdFixY4LJw8fHxmEymE0Z/8vLyThgl8nW2groRIVO8+hEhx2hQfEg8kYGy/4w3qfjpZ2xH8jFFRRHev7/qOELHsgqy+OD3D4C6PYOCA4IVJxLCPZpUCGmaht1ed77Md99959w7qEWLFuQ7mnpdIDAwkPT0dJYuXVrv/qVLl9KnTx+XvY43sB451iOkWnap9Ad5q5IvPgcg8vLh0igtTslmtzHlxyl1ewa1HkbflL6qIwnhNk3qEcrIyGDq1KlccsklrFy5kjfeeAOo22ixsSM15eXl/PHHH87b2dnZZGZmEhsbS8uWLZk4cSKjRo0iIyOD3r17M3v2bHJzcxk7dmxTonst69ERoYD4BMVJpD/Im8XfcQfmpCQihjZudafwLx/v+JitBVsJN4fz4PkPqo4jhFs1qRB68cUX+dvf/sZnn33Go48+Svv27QGYP39+o0dq1q1bx+DBg523HSu2br31Vt555x1uuOEGCgoKmDJlCgcPHiQtLY1FixbRqpV/7WZ8bNWYfqbGpBDyPkEdOpD4f/+nOobQMYvNwpzf5gBw/3n3kxCq/o8vIdzJoGma5qqLVVdXYzKZMJvNrrqkcqWlpURFRVFSUkKkwvOY/hg6FMueXFr9711CFTd7X/nZlewu2c1/LvmPDJkL4YMOVxxm3vZ53NPjHkxGk+o4QjRJQ39/N6lHCKC4uJj//ve/TJ48mcKjZ2BlZWWRl5fX1EuK07DlO5ql1fYIWewWcstyAekR8ibW/Hz2/98kyleuVB1FeIGksCTGnzdeiiDhF5o0NbZ582YuvvhioqOjycnJ4Y477iA2NpaFCxeyZ88enzjpXU/s1dXYKyoA9c3S+8v2Y7VbCQkIISnMv1buebPSRYso/fprLPv2ET5woOo4QodqbDVsyttEr+ReqqMI4VFNGhGaOHEit99+Ozt37iQ4+NiSymHDhrFq1SqXhRN1HJspGgIDMYaHK82yp3QPAK0iW2E0NHlAUXhYyRd1ewdFjhyhOInQqwU7FjD629E898tzqqMI4VFN+k3266+/ctddd51wf0pKSqN2fBYNYzu6maIpPk758RqHKw8DkByWrDSHaLia3dlUb9kCJpMcqSFOStM05m2vOzy7ZURLxWmE8KwmFULBwcEnPZV9+/btJCTICgNXcy6dj1O/h1BeZV0PWGJoouIkoqFKj+4kHd6vHwGxsYrTCD1af3g9u0t2ExIQwoh2Mmoo/EuTCqErr7ySKVOmYLFYgLojMHJzc3nkkUe45pprXBpQ6OucMSmEvIumaZR8WXdAcuQI+QUnTu7jHR8DMLzNcCICIxSnEcKzmlQI/fOf/+TIkSMkJiZSVVXFwIEDad++PRERETz77LOuzuj3rAV1ewjp4XiNgxUHASmEvEX1pk1Y9u7FEBpKxEWDz/wE4Xd+L/ydJTlLALi+4/WK0wjheU1aNRYZGcmaNWtYvnw5GzZswG63c95553HJJZe4Op/g2NJ5PUyN5ZTmANA6srXSHKJhbBUVBHVoT1DnzhhDQ1XHETpj1+w889Mz2DU7Q1sPpUtcF9WRhPC4RhdCVquV4OBgMjMzueiii7jooovckUsc59jxGmoLoUpLJYcq6prhpRDyDuF9+xL2xRdoNTWqowgdOlJ5hNKaUkIDQnkwQ47SEP6p0YVQQEAArVq1wmazuSOPOAnH1Jjq4zUcGylGB0UTHRytNItoOIPBgCFYTg4XJ0oKS2LByAX8Xvi77Asm/FaTeoQee+yxejtKC/dy7iodq7YQcpwxJqNB3qFy40bslZWqYwidCzQF0i2hm+oYQijTpB6hl19+mT/++IPmzZvTqlUrwsLC6n1+w4YNLgkn6liPFpyqR4RySnIAOWzVG9irqsgdPQaAtp8tJLCl7A0jjvntyG9szNvIXzv/FbPRd86GFKIpmlQIXXnllco39vMX9tpa7Ef3bFK9fN45IhTVWmkOcWbl33+PVlmJOTUVc4sWquMIHbHZbUz9eSpZBVkU1RRx/3n3q44khFJNKoSeeuopF8cQp2I72ihNQADGqCilWWTFmPco+XoRAJFXXC5/tIh6FuxcQFZBFhHmCP7W+W+q4wihXKN6hCorK7nnnntISUkhMTGRm266ifz8fHdlE9TfTFHlLzRN044VQjIipGu2khLKj575F3X55YrTCD0pqi7ipQ0vAXBPz3uID1G/JYcQqjWqEHryySd55513uPzyy7nxxhtZunQp48aNc1c2AdgKjzZKx6k9GuFw5WGqrFWYDCZahMtUi56VfvstWCwEdexIUIcOquMIHXlpw0uU1pbSMaYjN3S8QXUcIXShUVNjn376KXPmzOHGG28E4Oabb6Zv377YbDZMJpNbAvo7q042U3SMBqVGpGI2SXOlnpU6psVkNEgcZ/ORzSzYuQCARy98lABjkzojhPA5jRoR2rt3L/3793fe7tWrFwEBARw4cMDlwUSdYweuqm2U3lOyB4BWka2U5hCnZy0qovKXXwCIHD5ccRqhF5qm8fyvzwMwst1Ieib2VJxICP1o1J8ENpuNwMDA+hcICMBqtbo0lDjG5txVWvHSeWmU9goBMTG0+3YJlb/8SmBqiuo4QicMBgNP9n6Slze8zAPpD6iOI4SuNKoQ0jSN2267jaCgIOd91dXVjB07tt5eQp9++qnrEvo5x4iQ6s0UpVHaewSmphKYmqo6htCZc2LO4dWLX1UdQwjdaVQhdOutt55w38033+yyMOJEjmZp5SNCRzdTlBEhIbxLflW+rA4T4jQaVQi9/fbb7sohTsGqg+M1am21HKio6wOTQki/Ct56m8pffyX21lsIu/BC1XGEDmQVZHHzopu5oeMNPHj+gxgNTTpVSQifJv8qdE4Px2vsLduLXbMTZg6Tvyx1rOSzzyj//nss+/apjiJ0QNM0pv88HYvdQkFVgRRBQpyC/MvQMc1mw3a0EDLFqttHyNEf1CqylexSrFM1O3dSs2MHmM1EXHqp6jhCB77a/RWZRzIJCQhhYsZE1XGE0C0phHTMVlICdjtQtxpIlT2ldUvnZVpMv0oXLwYgvF8/TIqPYhHqVVgqmLl+JgB3druTZmHNFCcSQr+kENIxW3ExAMaICAxmdZsYSiGkfxU//QxAxCWXKE4i9GDWplnkV+XTMqIlt3S5RXUcIXRNCiEds5eXA2CMCFeaw7liTJbO65K9tpbqLVsACM1IV5xGqJZdks3/tv0PgId7PUygKfAMzxDCv8ke6zpmKysDwBQeoTSHY0RIdpXWp+qtW9FqazHFxmJu2VJ1HKFYdkk2waZgeib3ZEDqANVxhNA9KYR0zF7mGBFSVwiV1ZZRUF23hF8KIZ2y2QjNyCAgKUma2QUXtbyIL6/6EqtddvwXoiGkENIxW3ERAKaYaGUZcktzAYgPiSfMHHaGRwsVQjMyaPXe/1THEDoi21wI0XDSI6RjzpPnFW6mePzSeSGEfn32x2es3rdadQwhvI4UQjrmOF7DFKduDyFZMaZvVVu2Ys3PVx1DKHak8gjTf57O3cvuZu2BtarjCOFVpBDSMWvB0V2lY9QXQi0jpQlXjw4++ig7BwykbMUK1VGEQi9ueJFKayXd4rtxYbIcryJEY0ghpGO2AvUHrsqKMf2q2b2bmu3bwWgktEcP1XGEIr8d+Y0vdn0B1C2Xl6M0hGgc+RejY9aio83SinqENE2TqTEdc+wmHdanN6boaLVhhBJ2zc5zvzwHwMh2I+mW0E1xIiG8jxRCOuYcEVLUI1RQXUC5pRwDBlIjUpVkEKdW9s03AEQOG644iVDl691fszl/M6EBoUw4b4LqOEJ4JSmEdEqzWuvOGkPdgauO0aDksGSCTEFKMoiTq9m5k5qdf2Awm4m4+CLVcYQCVdYqXlz/IgB3dLuDhNAEtYGE8FJSCOmUragINA0MBmXTHo49hKQ/SH9Kv1kCQFi/fpgiIxWnESoEm4J59MJH6dO8D6O6jFIdRwivJRsq6pS1sG7FmCkmBoPJpCSDrBjTr7KlSwGIHHaZ4iRCFYPBwEUtL+KiljIiKMTZkEJIp1T3BwHklsmIkF61nPsO5cuWET54sOooQoFKSyWh5lDVMYTwCTI1plOOPYRMOthDSAoh/QmIiSH62msxKTyHTqix4fAGhiwYwke/f6Q6ihA+QQohnbIVHS2EFI0IaZrG3rK9ALSMkKkxIfTArtl5/tfnKakpYXvRdtVxhPAJMjWmU85dpRXtIZRXmUeVtQqTwURKRIqSDOJE1dt3cOipp4i6ciQxN96oOo7wsC93fUlWQRZh5jDu7XGvR1/bbrdTW1vr0dcU4nTMZjMmF/TQSiGkU85zxmJjlLy+oz+oeXhzzEazkgziRKXfLKZq40ZMsbFSCPkZm93Gq5mvAnBXt7uIC/HcH0m1tbVkZ2djt9s99ppCNER0dDTNmjXDYDA0+RpSCOmUtbBuV+mAOHUjQgDNwpopeX1xIk3TKDu6bD7ysqGK0whP+/HgjxyqOERUUBQ3db7JY6+raRoHDx7EZDLRokULjEbpqBDqaZpGZWUleXl1v6uSk5ObfC0phHTKsWpM1WaK+VV1J5rHh8QreX1xopodO6nNzsYQGCirxfzQ5398DsDwNsM9usGp1WqlsrKS5s2bExoqK9WEfoSEhACQl5dHYmJik6fJpLTXKevRZmlVI0KOQighRHar1YuyJXVHaoT164cpPFxxGuFJ5bXlLM9dDsBf2v/Fo69ts9kACAwM9OjrCtEQjuLcYrE0+RoyIqRTNsXL5w9XHAakENKT0iXfAhA5dIjiJMLTwgPD+eiKj1i1bxWdYzsryXA2PRhCuIsrvi+lENIhe20t9vJyAAIUN0u3iGih5PVFfTV//EHtrl1gNhN+kewk7I86xHSgQ0wH1TGE8DlSCOmQraiuUZqAAIwKzpHSNM15zpgcr6EPmtVK+EUXYQgIkE0U/czB8oMkhze9EVQIcXpSCOmQs1E6JhqDghUaxTXFlFnKAEiNSPX464sTBXfqRIvXX0PTNNVRhAdtzd/KTYtuYmS7kTzd52mMBmnrFMLV5F+VDjmXzivqD3JMiyWFJhESEKIkgzg56dPwH5qmMePXGdg1Oza7TYogH1RQUEBiYiI5OTmqozTItddey8yZM1XHcDn5l6VDxzZTVFQIlcphq3pSlZlJ7d69qmMID1uWu4wNeRsINgUz/rzxquMIN5g+fTojRoygdevWbrn+oEGDmDBhgsuu98QTT/Dss89SWlrqsmvqgRRCOmQtdByvoaZR2nHGmDRK68OhKc+w69IhlH7zjeoowkMsNgv/Xv9vAG459xbZ2NSFrFarLq5bVVXFnDlzGDNmjFvyuJLjaJVu3brRunVr3n//fcWJXEsKIR2yHZ0aU7V03nHqvDRKq1e7dy/VWVlgMhF6wQWq4wgP+Wj7R+SW5RIfEs/otNGq43itnJwcDAYD8+fPZ8CAAQQFBbFw4UJdXHfx4sUEBATQu3dvAL788kuio6Odx5hkZmZiMBh48MEHnc+56667+Otf/+q8/c0339CvXz+io6OJi4vjiiuuYNeuXQDcdtttrFy5kpdeegmDwYDBYHBOwWmaxowZM2jbti0hISF0796d+fPnO687aNAg7r33XiZOnEh8fDyXXnqp83MjR47kww8/bNwbpnPSLK1DzpPnZUTI75V9W7d3UOj55xMQo+b7QXhWSU0J/9n0HwDu7XEvoWZ97easaRpaVZWS1zaEhDSqTy4zMxOA559/nmnTptGmTRsSEo7tjTZt2jSmTZt22mssXryY/v37N+q6DbFq1SoyMjKctwcMGEBZWRkbN24kPT2dlStXEh8fz8qVK52PWbFiBQ888IDzdkVFBRMnTqRr165UVFTwxBNPcNVVV5GZmclLL73Ejh07SEtLY8qUKQDOjI899hiffvopb7zxBh06dGDVqlXcfPPNJCQkMHDgQADmzp3LuHHj+OGHH+ot0ujVqxfTp0+npqaGoCDP7XDuTlII6ZDqc8YczdItI2RESLXSo4VQxJBLz/BI4St2l+zGZDDRPrq9x3eRbgitqort56Uree2OG9ZjaMQxH5s2bSIsLIxPPvnkpH04Y8eO5frrrz/tNVJSUhp93YbIycmhefPmzttRUVH06NGDFStWkJ6e7ix6nn76acrKyqioqGDHjh0MGjTI+Zxrrrmm3jXnzJlDYmIiWVlZpKWlERgYSGhoKM2aHZtaraioYObMmSxfvtw5GtW2bVvWrFnDrFmznIVQ+/btmTFjxknfj5qaGg4dOkSrVr7RRyqFkA7ZCtXtKl1SU0JJTQkgI0KqWQ4donrTZjAYiLjkEtVxhIf0TOzJ11d/zZHKI5iMTTs7SdTJzMxk5MiRpyxWYmNjiW3CopQzXbchqqqqCA4OrnffoEGDWLFiBRMnTmT16tVMnTqVBQsWsGbNGoqLi0lKSqJTp07Ox+/atYvHH3+cn376ifz8fOe0Wm5uLmlpaSd93aysLKqrq+tNd0FdH1DPnj2dt48frTqe43yvysrKxn/ROiWFkA7ZFDZLO6bFEkISdDck72/Kln4HQEjPnpgTExWnEZ4UERhBRKA+N840hITQccN6Za/dGJs2beKRRx455eebOjV2qutu3ryZu+66i4qKCm688UbWrl3LV199ddLrxsfHU+TYPPeoQYMGMWfOHDZt2oTRaKRLly4MHDiQlStXUlRU5BytcRgxYgQtWrTgzTffpHnz5tjtdtLS0pzNzSfjKJa+/vrrE0a7jp/qCgsLO+nzC4/+fmrsVKCeSSGkQ9aj/zhULJ+XHaX1o/z77wGZFvMXW/O3sr98P5e2ulTX+0UZDIZGTU+pUlpaSk5OTr1Rjj9rytTYqa5rsVi49dZb+fDDD+nUqRPDhw+ne/fup7xuz549ee+99+rd5+gTevHFFxk4cCAGg4GBAwcyffp0ioqKuP/++52PLSgoYNu2bcyaNctZqK1Zs6be9QIDA52H5jp06dKFoKAgcnNzTyisGmLLli2kpqYSHx/f6OfqlRRCOqNZLNiP7tGgpBCSM8Z0I/XVVyhfvYaQHj1URxFupmkaz/3yHJlHMrmv533c2e1O1ZG8nmNUpWvXrqd8TFOmxk513fnz59O3b1/n1FXnzp3p1q3bKa8zdOhQJk+eTFFRETFHF0I4+oTee+89XnrpJaCuOLruuuuwWCz1+oNiYmKIi4tj9uzZJCcnk5ube8IoVevWrfn555/JyckhPDyc2NhYIiIimDRpEg888AB2u51+/fpRWlrK2rVrCQ8P59Zbbz3t17969WqGDPGtg59l+bzOOEaDMBoxRUV5/PUdU2PSKK2eMTSUyKFDMCfJtJivW5a7jMwjmQSbgrmy3ZWq4/iETZs20alTpxP6cNx13S1bttQrfLZu3XraQqhr165kZGTw8ccf17t/8ODB2Gw2Z9ETExNDly5dSEhIoHPnzs7HGY1GPvroI9avX09aWhoPPPAAL7zwQr1rTZo0CZPJ5Hx+bm7dH7rPPPMMTzzxBNOnT6dz584MHTqUL7/8kjZt2pz2a6+urmbhwoXccccdp32ctzFocnjRaZWWlhIVFUVJSQmRHjgAtXr7drKv/AummBjO+XGt21/vz0YtGkXmkUxeGPACl7W5zOOvL4S/sdgtXPX5Vewp3cOd3e7kvp73qY5UT3V1NdnZ2bRp08blRYUvmTlzJgcPHuSFF15g+fLlXHHFFZSWlhIQcOqJl0WLFjFp0iS2bNmCUcG5ko312muv8fnnn/Pt0dWsenC678+G/v7W/zvvZ5wrxhQdr+EcEZIeIWVspaVkX3MtR159Dc1Nu+AK/fhk+yfsKd1DbHAsf0/7u+o4ooluvvlmvv/+ey688EK++uorLrjggtMWQQDDhw/nrrvuYv/+/R5KeXbMZjOvvPKK6hguJ4WQzjiP11CweV6FpYKC6rpzzqRHSJ3ylSup3rqV0m8WYzjDD1Lh3cpry52bJ97d/W7CzCdfqSP0LywsjHXr1rF27VqMRiM333xzg553//3306KFd/y8vfPOO+nYsaPqGC4nhZDO2IqKATUjQo7RoJigGN0u3fUHZd8uBSDiUlkt5uve2vIWRTVFtI5szdXnXK06jjgLM2bMIC0tjfPOO4+goCD+/ncZ3fMW8uemzthKigGUNkrLaJA6mqZR+csvAEQct0JE+Kbzm53Pqn2rGNdjHGajWXUccRaefvppnn76adUxRBNIIaQz9oq63TqNEZ4fkXHsIdQiUgohVSx792IrKcFgNhN83AoR4Zt6N+/NxyM+xoB+9w0Swtf5/NRYWVkZ559/Pj169KBr1668+eabqiOdlr28HABjuOd7BWRESL2qzb8BENSlM4bAQMVphCcYDUZdb6AohK/z+RGh0NBQVq5cSWhoKJWVlaSlpXH11VcTp+hA0zNxFEKmU2xv7k77yvYBUgipVHX0VOuQrqfef0R4v8mrJ9M2qi03d7mZkIDGHRshhHAtny+ETCYToUe3g6+ursZms6HnrZNsJXUHnhoV9AjJqfPqGcPCMEVFEXpBL9VRhJusP7yer3Z/hclg4pJWl9Am6vSb2Akh3Ev51NiqVasYMWIEzZs3x2Aw8Nlnn53wmNdff925WVJ6ejqrV69u1GsUFxfTvXt3UlNTeeihh3R9Roq1yHHgqmdXjdXaajlUcQiA1IhUj762OCbxgQl0+GGNNEr7KE3TmLl+JgDXdLhGiiAhdEB5IVRRUUH37t159dVXT/r5efPmMWHCBB599FE2btxI//79GTZsmHOrcID09HTS0tJO+Dhw4AAA0dHRbNq0iezsbD744AMOHz7ska+tKZzL5z28j9D+8v1oaIQEhBAXrM9pQ39hCAjAYJYVRL5oWe4yNh/ZTEhACON6jFMdRwiBDqbGhg0bxrBhw075+ZkzZzJ69GjGjBkDwIsvvsiSJUt44403mD59OgDr169v0GslJSXRrVs3Vq1axXXXXXfSx9TU1FBTU+O8XXr0AFRP0DTt2M7SHi6Ejm+UlsZNNaq37yDonA7y/vsoq93KSxvqDtK89dxbiQ/R78i0EP5E+YjQ6dTW1rJ+/foTTrodMmQIa9c27Byuw4cPO4uZ0tJSVq1addqdMadPn05UVJTzw5M7fmpVVWhHizBP7ywtK8bUqs3NJfvKK9l16RC02lrVcYQbLPxjITmlOcQExXBrl9Of8C2E8BxdF0L5+fnYbDaSkpLq3Z+UlMShQ4cadI19+/YxYMAAunfvTr9+/bj33ntPeyLw5MmTKSkpcX7s3bv3rL6GxrAdPXneEBSE4WiDt6fIijG1yr5bBoA5NVWWzfsgm93Gm5vrtu64q/tdhAeGK04khHBQPjXWEH+eKtA0rcHTB+np6WQeXZLcEEFBQQQFBTUmnstYC+sKIVNMjMenR2RESK2y774DIOKSSxQnEe5gMpqYfels3tv2Htedc/JpeSGEGrouhOLj4zGZTCeM/uTl5Z0wSuQLbMVHC6HoaI+/tqMQSg2XFWOeZi0ooGrjRgAiLr5IcRrhLq2jWvPYhY+pjiGE+BNdT40FBgaSnp7O0qVL692/dOlS+vTpoyiV+zimxgJiPdsfZNfs7C/fD8iIkArl338PmkZwWhrm5GTVcYSLFVUXqY4gdK6goIDExERycnJUR2mQa6+9lpkzZ6qO4TLKC6Hy8nIyMzOd01fZ2dlkZmY6l8dPnDiR//73v7z11lts27aNBx54gNzcXMaOHaswtXtYnSvGPLuH0JHKI9TYajAZTDQLb+bR1xbH+oMiLrlYcRLhaocqDjF0wVAeXfMo1dZq1XGETk2fPp0RI0bQunVrt1x/0KBBTJgwwWXXe+KJJ3j22Wc9uqranZRPja1bt47Bgwc7b0+cOBGAW2+9lXfeeYcbbriBgoICpkyZwsGDB0lLS2PRokW0atVKVWS3UbWHkGNaLDksWU7A9jB7RQUVR1dAhl8k02K+ZtbmWVRZqzhQfoAgk5reQ1Gf1WolIMD1v/qaet2qqirmzJnDokWLXJ7J1WprawkMDKRbt260bt2a999/n3HjvH8/LOUjQoMGDULTtBM+3nnnHedj7r77bnJycqipqWH9+vUMGDBAXWA3ckyNebpH6HBl3QaTyeEyLeNphqAgWsyeTfw99xDUoYPqOMKFqqxVfL37awDu6XGPz+0PZa+sPPXHcXuxnfGx1dUNemxT5OTkYDAYmD9/PgMGDCAoKIiFCxc2+Wt2x3UXL15MQEAAvXv3BuDLL78kOjoau90OQGZmJgaDgQcffND5nLvuuou//vWvztvffPMN/fr1Izo6mri4OK644gp27doFwG233cbKlSt56aWXMBgMGAwGcnJy0DSNGTNm0LZtW0JCQujevTvz58+vl23QoEHce++9TJw4kfj4eC699FLn50aOHMmHH37YpK9Zb5SPCIljnIWQh3uECqvrpuRkR2nPMwQEEHbhBYRdeIHqKMLFVuxdQZW1ipTwFNKT0lXHcbnt5536awobOICWs2Y5b+/o2w+tquqkjw09/3xa/e9d5+0/Lr7E+bPweJ1/39bojI6Wi+eff55p06bRpk0bEhISnJ+fNm0a06ZNO+01Fi9eTP/+/Rt13cZYtWoVGRkZztsDBgygrKyMjRs3kp6ezsqVK4mPj2flypXOx6xYsYIHHnjAebuiooKJEyfStWtXKioqeOKJJ7jqqqvIzMzkpZdeYseOHaSlpTFlyhQAEhISeOyxx/j0009544036NChA6tWreLmm28mISGBgQMHOq89d+5cxo0bxw8//FDvnM5evXoxffp0ampqlK20dhUphHTE2Szt4amxgqoCAOJCpBASwlUW7a6b6hjeZrjPjQZ5i02bNhEWFsYnn3xy0v6bsWPHcv3115/2GikpKY2+bmPk5OTQvHlz5+2oqCh69OjBihUrSE9PdxY9Tz/9NGVlZVRUVLBjxw4GHXce4TXXXFPvmnPmzCExMZGsrCzS0tIIDAwkNDSUZs3qekArKiqYOXMmy5cvd45EtW3bljVr1jBr1qx6hVD79u2ZMWPGCblTUlKoqanh0KFDXt+qIoWQjlgVLZ8vqD5aCMmIkEdVZWZS8tXXRA67jNB03xsx8GeHKg6x5sAaAK5oe4XiNO7RccNpjjYymerdPOeHNad+rLF+h0b7Zd+dTax6MjMzGTly5CmLldjYWGKbcMD1ma7bGFVVVQQHB9e7b9CgQaxYsYKJEyeyevVqpk6dyoIFC1izZg3FxcUkJSXRqVMn5+N37drF448/zk8//UR+fr5zWi03N5e0tLQTXjMrK4vq6up6U11Q1wPUs2fPevcdP1p1vJCQEAAqmzhtqSfKe4TEMc5maQ+fPH+gvO5w2mZhsmLMk0oWLaLovfconr9AdRThYv/L+h9Wu5X0pHTaRrdVHcctjKGhp/7401TJaR/7pyLgVI9rik2bNtUbOfmzadOmER4eftqP1atXN+i6O3fu5PLLLwfq+nxijo7s792797QZ4uPjKfrTVOCgQYNYvXo1mzZtwmg00qVLFwYOHMjKlStZsWJFvREbgBEjRlBQUMCbb77Jzz//zM8//wzUFTYn4yiUvv76a+eq7czMTLKysk7oEwoLCzvpNQqPrnJu6pSgnsiIkE5odju24mIATNFyzpiv0zSN8mXLAdlE0Rfd2/NeEkIS6JHYQ3UUv1VaWkpOTs4JIxzHa8rU2KmuGx0dTVlZGQBvvfUW7dq1Q9M03nrrLe64445TXr9nz56899579e5z9Am9+OKLDBw4EIPBwMCBA5k+fTpFRUXcf//9zscWFBSwbds2Zs2a5exlWrOm/ghcYGAgNpvNebtLly4EBQWRm5t7QlHVUFu2bCE1NZX4eO8/PFgKIZ2wl5bC0W9UU0y0x17XYrNwqKJu5+7UCNlV2lNqduzAsn8/hqAgwnxwc1B/FxIQwm1pt6mO4dccoyldu3Y95WOaMjV2qutGRUVRXl5OdnY24eHhtG7dmuLiYr788kt++OGHU15v6NChTJ48maKiIucokqNP6L333uOll14C6oqj6667DovFUm+EKSYmhri4OGbPnk1ycjK5ubk88sgj9V6jdevW/Pzzz+Tk5BAeHk5sbCyTJk3igQcewG63069fP0pLS1m7di3h4eHceuuZDwVevXr1CQeieyuZGtMJ69GhUWNoKEYPHrp5oOIAGhohASHSI+RB5cvrRoPCevdu8rC/0J/i6mJsdtuZHyjcbtOmTXTq1OmE/ht3XTcwMBCr1cqsWbO48847iYiIYP78+QwePPi0q6q6du1KRkYGH3/8cb37Bw8ejM1mcxY9MTExdOnShYSEBDp37ux8nNFo5KOPPmL9+vWkpaXxwAMP8MILL9S71qRJkzCZTM7n5+bm8swzz/DEE08wffp0OnfuzNChQ/nyyy9p06bNGd+D6upqFi5ceNqRLm9i0I5fDydOUFpaSlRUFCUlJURGRrrtdSo3bGTPTTdhTk2l/XdLz/wEF/lh/w+M/W4s7aPbs/DKs99fQzRM9nXXU/3bbzR7Zgox18khnL7i7u/u5mDFQZ7p+wxp8Sc2qXqj6upqsrOzadOmjcuLCl+TlpZGYmIiy5cv5/7772fp0qV88cUXtG/f/rTPW7RoEZMmTWLLli0Yjfofn3jttdf4/PPP+fbbb1VHOe33Z0N/f8vUmE44+4MU7Sot02KeYzmcR/Vvv4HBQMRpmiiFd9lweAOr96/GZDARGei+P5qEflmtVq6++moAIiMjSUlJOWMRBDB8+HB27tzJ/v37adFC/72aZrOZV155RXUMl5FCSCecmyl6sD8IYF/ZPkBOnfcky769BCQnY05MJMAHVlyIuub3lze+DMBVHa6iZWRLxYmECr///rvzv5955plGPff4Bmi9u/POO1VHcCkphHTCpmgPoX3lRwshGRHymND0dNovX+YcBRTeb+2Btaw/vJ5AYyB3dbtLdRwhRCPofzLST6jaVXp/+X5Als57msFg8Pj/a+Eemqbxysa6aYIbOt0g+3EJ4WWkENIJq4IeIU3TZGrMw2wlJWhWq+oYwoWW5y5na8FWQgJCGJ02WnUcIUQjSSGkE85dpT24mWJJTQnllnIAmoc3P8OjhSscnjGDnX37UfLFF6qjCBdZvrduK4SbO98s5/UJ4YWkR0gnju0qHe2x13RMi8WHxBMcIMti3U2z2ylfsRJbSYk0SfuQqX2ncmmrSzkv6TzVUYQQTSCFkE4cWzXmuRGhveVHl87LtJhHVG/ejK2gAGN4uByy6kMMBgODWgxSHUMI0UQyNaYTx/YRivbYa+4vqxsRkhVjnlH2/QoAwgf0x+DB3cOFe2wt2EpZbZnqGEKIsySFkA7UP3A12mOv61g6nxKecoZHCldwHKsRPniw4iTibNXaanng+we4bMFlbMnfojqOEOIsSCGkA/ayMrDbAQjwZI+QjAh5TO2+/dTs3AlGI2H9+qmOI87Sgp0LOFhxkGBTMO2jz7xzsBBCv6QQ0gFHf5AxLMyjUyaOZmkZEXK/8hUrAAg5r6fsH+Tlqq3VvLn5TQDu6HaHLDQQwstJIaQDjpPnPTktZrPbOFBxAJBmaU8Iu/AC4saNJeb661VHEWdp3vZ5HKk6QnJYMld3uFp1HOHFCgoKSExMJCcnR3UUtxk0aBATJkxo1HOuvfZaZs6c6Z5AJyGrxnRARX9QXmUeVruVAEMAiaGJHntdfxXUvj2JXnSWkDi5Skslb215C4C7ut1FoEma3kXTTZ8+nREjRtC6dWvVUdzm008/xWw2N+o5TzzxBIMHD2bMmDGnPTXeVWRESAdsxSWAZ5fOOxqlk8OTMRlNHntdIbzZh79/SGF1IS0iWjCy/UjVcUQTWN20s3tjr1tVVcWcOXMYM2aMW/LoRWxsLBEREY16Trdu3WjdujXvv/++m1LVJ4WQDtgUTI05+oNkWsz9ihd+RtmyZdgrK1VHEWcpvyofo8HI2O5jMRsb91eu8LycnBwMBgPz589nwIABBAUFsXDhQl1cd/HixQQEBNC7d2/nfd988w39+vUjOjqauLg4rrjiCnbt2lXveYMGDeK+++5jwoQJxMTEkJSUxOzZs6moqOD2228nIiKCdu3asXjx4rN6DkBNTQ3jx48nMTGR4OBg+vXrx6+//lrvuuPHj+ehhx4iNjaWZs2a8dRTT52Q9/ipsYZ8jQAjR47kww8/bNR72lRSCOmATcE5Y85G6QhplHYnzW4n71//Yt8991KVmak6jjhLD/d6mM+v/JzhbYarjqKMpmlUWiqVfGia1qismUf/zT3//PM8/vjjbN26lSFDhjg/P23aNMLDw0/7sXr16kZftyFWrVpFRkZGvfsqKiqYOHEiv/76K8uWLcNoNHLVVVdhP7qq2GHu3LnEx8fzyy+/cN999zFu3Diuu+46+vTpw4YNGxg6dCijRo2i8rg/vprynIceeogFCxYwd+5cNmzYQPv27Rk6dCiFhYX1rhsWFsbPP//MjBkzmDJlCkuXLj3l193Qr7FXr1788ssv1NTUNOp9bQrpEdIBW+nRqTEPzIU6OJbOy4ox96rN2YMtPx9DUBChf/qhJ7xT66jWqiMoVWWt4oIPLlDy2j/f9DOh5tAGP37Tpk2EhYXxySefnLQPZ+zYsVx/hgUMKSkn/ow803UbIicnh+bN65/xeM0119S7PWfOHBITE8nKyiItLc15f/fu3XnssccAmDx5Ms899xzx8fHccccdQF2PzRtvvMHmzZu58MILm/SciooK3njjDd555x2GDRsGwJtvvsnSpUuZM2cODz74IFA3jfXkk08C0KFDB1599VWWLVvGpZdeetKvu6FfY0pKCjU1NRw6dIhWrVo19G1tEimEdMBeUVeBG8PCPPaaMjXmGdVZWQAEd+oku0l7sWV7ltEmug1to9qqjiIaITMzk5EjR56yWImNjSU2Ntbl122IqqoqgoPrb72wa9cuHn/8cX766Sfy8/OdoyS5ubn1ioRu3bo5/9tkMhEXF0fXrl2d9yUlJQGQl5fX5Ofs2rULi8VC3759nY8xm8306tWLbdu2nfS6AMnJyfVe988a+jWGhIQA1BuhchcphHTA0TviyULI0Swtp867l7MQOreL4iSiqUpqSnjsh8eotFbyv2H/o1tCtzM/yYeFBITw800/K3vtxti0aROPPPLIKT8/bdo0pk2bdtprLF68mP79+zfoups3b+auu+6ioqKCG2+8kbVr1/LVV1+d9Lrx8fEUHe0PdRgxYgQtWrTgzTffpHnz5tjtdtLS0qitra33uD+vwjIYDPXuMxgMAPWmmxr7HMc0pON+B03T6t13suv+eZqrKV+jY/otwQMHVEshpAP2igrAc4VQra2WI5VHAJkac7fqLXXHLwSfe67iJKKp3s16l3JLOR1iOpAWn3bmJ/g4g8HQqOkpVUpLS8nJyaFnz56nfExTpsZOdV2LxcKtt97Khx9+SKdOnRg+fDjdu3c/5XV79uzJe++957xdUFDAtm3bmDVrlrPwWrNmzWmzuVP79u0JDAxkzZo13HTTTUDd17hu3bpG7wvk0JivccuWLaSmphIfH9+k12oMKYR04FiPUOOWGDbVwYqDaGiEBIQQG9z4YWHRMPaKCqo2bgQgpOd5itOIpiipKeH9bXVLeO/ufjdGg6wv8RabNm3CaDTWm/75s6ZMjZ3quvPnz6dv37506tQJgM6dO58wbXS8oUOHMnnyZIqKioiJiSEmJoa4uDhmz55NcnIyubm5px3NcrewsDDGjRvHgw8+SGxsLC1btmTGjBlUVlYyevToJl2zMV/j6tWrG92A3lTyr1oHPL2hoqNRunlY8xOGPYXrVG7MRLNYMLdsSWCb1qrjiCaYu3UuFZYKOsZ05KKWF6mOIxph06ZNdOrU6YQ+HHddd8uWLfUKn61bt562EOratSsZGRl8/PHHABiNRj766CPWr19PWloaDzzwAC+88IJLszfWc889xzXXXMOoUaM477zz+OOPP1iyZAkxTVzh3NCvsbq6moULFzobud3NoDV2PaKfKS0tJSoqipKSErftcPn7eelolZW0+3YJgS1buuU1jvfJjk+Y8uMUBqQO4LWLX3P76/mz2n37sR46KCvGvFBxdTFDFwyl0lrJi4Nf5OKWF6uOpER1dTXZ2dm0adPG5UWFL5k5cyYHDx7khRdeYPny5VxxxRWUlpYSEHDqiZdFixYxadIktmzZgtEo4xIOr732Gp9//jnffvvtGR97uu/Phv7+lqkxxey1tWhHm6VVjAgJ9wpMTSEwVfqwvNG7We9Saa2kU2wnLmoho0Hi9G6++WaGDx/OhRdeSJ8+fbjgggtOWwQBDB8+nJ07d7J//35atGjhoaT6ZzabeeWVVzz2elIIKebYVRqTCWMjtyFvqgPlRw9bjZCl80KcSnRQNJGBkYztPlamkMUZhYWFsW7dOux2Ow899BA333xzg553v5xBeII777zTo68nY3GKOfuDoqI89sPWuau0rBhzm4K33mbv2HGUn2RXWuEdbjn3Fr699lsZDRINMmPGDNLS0jjvvPMICgri73//u+pIooFkREgxW1ExoOacMdlDyH3KliyhatMmwi8arDqKOAthZs/t7SW829NPP83TTz+tOoZoAhkRUsxWcnTpvIcKoWprNQXVBYCMCLmLtaiIqs2bAQgfOFBxGtFYC3YsYOXelY0+10oI4Z2kEFLM00vnHf1B4eZwIgM9d7aZP6lYvRo0jaBOnTAf3bZeeIeSmhJeWPcC9y6/lx8P/Kg6jhDCA6QQUuz4HiFPOH5aTBpA3aN85SpARoO80f+y/keFpYJzYs7hwuYXqo4jhPAAKYQUUzUiJNNi7qHZbFQc3TI+fOAAxWlEY5TVljl3kR7bfazsIi2En5B/6Yp5ukfocOVhAJJCZcrGHao2bcZWUoIxKoqQ0+wqK/Rnee5yyi3ltI5s7bebJwrhj2TVmGKeHhEqrK470Tc2RM4Ycwu7jdDzzycguRmGM2ymJvRl6Z6lAAxvM1xGg4TwI/KTWjFP9wgVVddt4BgbJIWQO4RmZNDqf+/KiiMvU1ZbxtoDawG4tNWlitMIITxJCiHFVI0IxQQ37dA80TDSiO5d8irz6BDTgSprFe2i26mOI4TwICmEFHP2CMVEe+T1DlUeAiApTHqEXK12716MYWEExMpom7dpF92OeVfMo8JSIUWsEH5GJsIV0jTtWCHkgakxi91CXmUeIKvG3CHvXzPZ2bcfRR9+qDqKaCLZSVoI/yOFkEL2igqwWgHPTI0drjiMXbMTZAoiLjjO7a/nTzSrlYq1a50bKQrvYNfsvL/tfUprS1VHEX6soKCAxMREcnJyVEdxm0GDBjFhwoQGP/7aa69l5syZ7gt0HJkaU8hWXDcaZAgKwhgc7PbXc+whlByWLMP/Lla1aRP20lJMsmzeqyzLXcZzvzzH3K1zWXT1IgKM8iNReN706dMZMWIErVu3Vh3FbT799FPMZnODH//EE08wePBgxowZQ2Ske09BkBEhhTzdKC2HrbpP+aq6U+bD+vXDYDIpTiMaQtM0Zm+eDcCIdiOkCPIT1qOj8Hq5blVVFXPmzGHMmDEuTqQvsbGxRERENPjx3bp1o3Xr1rz//vtuTFVHCiGFbCXFgOeWzh+sOAhIIeQO5avrjtUI699PcRLRUKv2reL3wt8JDQhlVOdRquMIN8jJycFgMDB//nwGDBhAUFAQCxcu1NV1Fy9eTEBAAL1793be980339CvXz+io6OJi4vjiiuuYNeuXfWeN2jQIO677z4mTJhATEwMSUlJzJ49m4qKCm6//XYiIiJo164dixcvPqvnANTU1DB+/HgSExMJDg6mX79+/Prrr/WuO378eB566CFiY2Np1qwZTz311Al5j58aa8jXOHLkSD70QM+lFEIKKRsRCpNCyJWsR45Qk7UNgPB+Ugh5A03TmLV5FgA3dLqB6OBotYG8UKWl8pQfNbaaBj+22lrdoMc2RWZmJgDPP/88jz/+OFu3bmXIkCHOz0+bNo3w8PDTfqxevbrR122MVatWkZGRUe++iooKJk6cyK+//sqyZcswGo1cddVV2O32eo+bO3cu8fHx/PLLL9x3332MGzeO6667jj59+rBhwwaGDh3KqFGjqKysPKvnPPTQQyxYsIC5c+eyYcMG2rdvz9ChQyksLKx33bCwMH7++WdmzJjBlClTWLp06Sm/7oZ8jb169eKXX36hpqbmlNdxBRkLVujYijHPnALvGBFKDk/2yOv5i/I1PwAQ3KULAfHxitOIhvjx4I/8lv8bQaYgbulyi+o4XumCDy445ef6p/Tn9Uted94e9PEgqqxVJ31sRlIGb1/2tvP2ZQsuo6im6ITH/Xbrb43OuGnTJsLCwvjkk09O2n8zduxYrr/++tNeIyXlxBW2Z7puY+Tk5NC8ef0/Tq+55pp6t+fMmUNiYiJZWVmkpaU57+/evTuPPfYYAJMnT+a5554jPj6eO+64A6jrs3njjTfYvHkzF154YZOeU1FRwRtvvME777zDsGHDAHjzzTdZunQpc+bM4cEHHwTqprKefPJJADp06MCrr77KsmXLuPTSk29Q2pCvMSUlhZqaGg4dOkSrVq0a87Y2ihRCCtk9fM6YHLjqHuED+pM8bRrGEPc3vAvXcPQGXXvOtcSHSPHqqzIzMxk5cuQpi5XY2Fhim7Dv15mu2xhVVVUE/2mxzK5du3j88cf56aefyM/Pd46S5Obm1iuEuh23MMNkMhEXF0fXrl2d9yUl1e0Xl5eX1+Tn7Nq1C4vFQt++fZ2PMZvN9OrVi23btp30ugDJycn1XvfPGvI1hoSEANQbnXIHKYQU8uTUmM1u43BF3YGryWEyIuRKAXFxRF99leoYooFqbbWkhKeQVZDFbefepjqO1/r5pp9P+TmTsf6CgRXXrzjlY/98rts313xzVrmOt2nTJh555JFTfn7atGlMmzbttNdYvHgx/fv3P+N1d+7cyYQJE/j666/58ssvueWWWygqKmLv3r2MGjWKFStWnPT68fHxFBXVHwEbMWIELVq04M0336R58+bY7XbS0tKora2t97g/r8IyGAz17nOsDj5+uqmxz3EcF/TnlcaaptW772TX/fNUXmO/RsfUW0JCwimv4wpSCCnkWD7viWbpI1VHsGpWAowBJIS495tKCD0LNAXybL9neej8h4gK8sxCBV8Uag5V/tjTKS0tJScnh549e57yMU2ZGjvVdaOjoykrKwPgrbfeol27dmiaxltvveWcdjqZnj178t577zlvFxQUsG3bNmbNmuUswNasWXPajO7Uvn17AgMDWbNmDTfddBMAFouFdevWNWpfoOM19GvcsmULqampxLu55UAKIYUcPUJGN++RAMcapZuFNjvhrzXRdCVffoU1P5+ISy8lMFWmHL2JFEG+bdOmTRiNxnrTPn/WlKmxU103KiqK8vJysrOzCQ8Pp3Xr1hQXF/Pll1/yww8/nPJ6Q4cOZfLkyRQVFRETE0NMTAxxcXHMnj2b5ORkcnNzTzuq5W5hYWGMGzeOBx98kNjYWFq2bMmMGTOorKxk9OjRTbpmQ7/G1atXN7kJvTFk1ZhCNg/2CDn6g2TpvGsVvfceec8/T8WPa1VHEQ3w/rb3+aPoD9UxhAds2rSJTp06ndB/467rBgYGYrVamTVrFnfeeScRERHMnz+fwYMHExQUdMrrde3alYyMDD7++GMAjEYjH330EevXryctLY0HHniAF154waVfQ2M999xzXHPNNYwaNYrzzjuPP/74gyVLlhAT07TDuxvyNVZXV7Nw4cLTjqa5ikFzTACKkyotLSUqKoqSkhKX7265a/jl1O7eTct35xLWq5dLr/1nszfP5pWNr3BluyuZ2m+qW1/LX9iKi9nRpy/Y7bT/fjnmZOm90rM/iv7gqi+uwmgwsuSaJTQLa6Y6kleorq4mOzubNm3auLyo8DVpaWkkJiayfPly7r//fpYuXcoXX3xB+/btT/u8RYsWMWnSJLZs2YLRKOMTAK+99hqff/4533777Wkfd7rvz4b+/papMYWczdIe6BGSESHXq/jxR7DbCWzfToogLzBnyxwALmpxkRRBwi2sVitXX301AJGRkaSkpJyxCAIYPnw4O3fuZP/+/bRo0cLdMb2C2WzmlVde8chrSSGkSL2T5z0wNebcQ0hWjLlM+eq65r7wvrKJot7tLdvL4uy63XLHdPPtowyEOr///rvzv5955plGPff+++93dRyvduedd3rstWQMThF7RQXYbICMCHkjTdOoOLrKIexPS2uF/ryz5R1smo2+KX05N+5c1XGEEDoihZAijs0UPXHyvKZpHKo4BMjxGq5Ss3Mn1rw8DEFBhGakq44jTuNI5REW/lF3DtQdXd3feCmE8C5SCCninBbzwNL5wupCqm115/kkhSW5/fX8Qe3u3RgCAwk9/3y3F7Li7Lyb9S4Wu4WeiT1JT5KiVQhRn/QIKeLJXaUd/UEJIQkEmgLd/nr+IPKyywgfNAjbcYcOCn1KCEkgJiiGMV2lN0gIcSIphBQ5duCq5/qD5LBV1zIGB2NsLlONenfLubdwXcfrCDbJyN3ZkJ1WhB654vtSpsYUce4qHe3+QsgxIiT9Qa6hneb8HKFPIQEhJ5yVJBrGZKrbif7P51wJoQeOA1n/fNZZY8iIkCK20rozaUwR7u8RkqXzrpX/6muULVtG/F13Ejl8uOo44hS+zfmWAGMAg1oMOuFgT9FwAQEBhIaGcuTIEcxms2z4J3RB0zQqKyvJy8sjOjraWbA3hRRCitgrKwAwhrrmgMHTOVh+tBCSqTGXqP79d2q2b8daIP1BemWxWZjx6wwOVx5mev/pXNH2CtWRvJbBYCA5OZns7Gz27NmjOo4Q9URHR9Os2dltkOoXhVBAQABpaWkAZGRk8N///ldxIrAfHc7zSCEkU2MuVXN007SgjucoTiJO5avdX3G48jDxIfFc2upS1XG8XmBgIB06dJDpMaErZrP5rEaCHPyiEIqOjiYzM1N1jHqchVCY+wuhAxXSLO0qttJSLAfq3s/gjh0VpxEnY9fsvL31bQBu6XILQaZTH3gpGs5oNMpZY8InyWSvIvaycgCMYeFufZ1KSyUlNXWN2XK+0tmrXLcOgMBWrTyy4k803ve535Ndkk1EYATXnXOd6jhCCJ1TXgitWrWKESNG0Lx5cwwGA5999tkJj3n99dedJ8ump6ezevXqRr1GaWkp6enp9OvXj5UrV7oo+dmxlTrOGXPvL1PHjtLh5nAiA93fmO3rKtb8AEBY376Kk4iT0TSNt7a8BcCNHW8kPNC9f2gIIbyf8qmxiooKunfvzu23384111xzwufnzZvHhAkTeP311+nbty+zZs1i2LBhZGVl0bJlSwDS09Opqak54bnffvstzZs3Jycnh+bNm7NlyxYuv/xyfvvtNyI9sKPz6XhqHyHnijGZFnOJih+OFkL9pBDSo3WH17E5fzNBpiBu6nyT6jhCCC+gvBAaNmwYw4YNO+XnZ86cyejRoxkzpm5X2BdffJElS5bwxhtvMH36dADWr19/2tdofnTTu7S0NLp06cKOHTvIyMg46WNramrqFVUlRwuW0tLShn9RDVCSX4DVZqPCaMTu4msfb9fhXdiqbMTFxLn8a/A39tparF3TqK6pwdqpk7yfOlRRVkH74PacG38ugZZASi3y/0gIf+X4GX3GTRc1HQG0hQsXOm/X1NRoJpNJ+/TTT+s9bvz48dqAAQMadM3CwkKturpa0zRN27t3r9ayZUutoKDglI9/8sknNUA+5EM+5EM+5EM+fOBj7969p60TlI8InU5+fj42m42kpPoHhSYlJXHo0KEGXWPbtm3cddddGI1GDAYDL730ErGxsad8/OTJk5k4caLztt1up7CwkLi4OL/fmba0tJQWLVqwd+9e5VOL3kzeR9eR99I15H10DXkfXcNV76OmaZSVlTlnhU5F14WQw58LEE3TGlyU9OnTh99++63BrxUUFERQUP3lttEeOBjVm0RGRso/cheQ99F15L10DXkfXUPeR9dwxfsY1YA+XOWrxk4nPj4ek8l0wuhPXl7eCaNEQgghhBCNpetCKDAwkPT0dJYuXVrv/qVLl9KnTx9FqYQQQgjhK5RPjZWXl/PHH384b2dnZ5OZmUlsbCwtW7Zk4sSJjBo1ioyMDHr37s3s2bPJzc1l7NixClP7p6CgIJ588skTpg5F48j76DryXrqGvI+uIe+ja3j6fTQcXa2lzIoVKxg8ePAJ999666288847QN2GijNmzODgwYOkpaXx73//mwEDBng4qRBCCCF8jfJCSAghhBBCFV33CAkhhBBCuJMUQkIIIYTwW1IICSGEEMJvSSEk6nn99ddp06YNwcHBpKens3r16lM+9tNPP+XSSy8lISGByMhIevfuzZIlSzyYVr8a8z4e74cffiAgIIAePXq4N6CXaOz7WFNTw6OPPkqrVq0ICgqiXbt2vPXWWx5Kq2+NfS/ff/99unfvTmhoKMnJydx+++0UFBR4KK0+rVq1ihEjRtC8eXMMBgOfffbZGZ+zcuVK0tPTCQ4Opm3btvznP/9xf1Cda+z76O7fNVIICad58+YxYcIEHn30UTZu3Ej//v0ZNmwYubm5J338qlWruPTSS1m0aBHr169n8ODBjBgxgo0bN3o4ub409n10KCkp4ZZbbuHiiy/2UFJ9a8r7eP3117Ns2TLmzJnD9u3b+fDDD+nUqZMHU+tTY9/LNWvWcMsttzB69Gi2bt3KJ598wq+//uo8/NpfVVRU0L17d1599dUGPT47O5vhw4fTv39/Nm7cyD/+8Q/Gjx/PggUL3JxU3xr7Prr9d02DTi4VfqFXr17a2LFj693XqVMn7ZFHHmnwNbp06aI9/fTTro7mVZr6Pt5www3aY489pj355JNa9+7d3ZjQOzT2fVy8eLEWFRV12kOV/VVj38sXXnhBa9u2bb37Xn75ZS01NdVtGb0N1D8k/GQeeughrVOnTvXuu+uuu7QLL7zQjcm8S0Pex5Nx5e8aGRESANTW1rJ+/XqGDBlS7/4hQ4awdu3aBl3DbrdTVlZ22kNtfV1T38e3336bXbt28eSTT7o7oldoyvv4xRdfkJGRwYwZM0hJSeGcc85h0qRJVFVVeSKybjXlvezTpw/79u1j0aJFaJrG4cOHmT9/PpdffrknIvuMH3/88YT3fejQoaxbtw6LxaIolfdz9e8a5TtLC33Iz8/HZrOdcIZbUlLSCWe9ncq//vUvKioquP76690R0Ss05X3cuXMnjzzyCKtXryYgQP5JQtPex927d7NmzRqCg4NZuHAh+fn53H333RQWFvp1n1BT3ss+ffrw/vvvc8MNN1BdXY3VamXkyJG88sornojsMw4dOnTS991qtZKfn09ycrKiZN7N1b9rZERI1GMwGOrd1jTthPtO5sMPP+Spp55i3rx5JCYmuiue12jo+2iz2bjpppt4+umnOeecczwVz2s05vvRbrdjMBh4//336dWrF8OHD2fmzJm88847fj8qBI17L7Oyshg/fjxPPPEE69ev55tvviE7O1uONmqCk73vJ7tfNIw7ftfIn58CgPj4eEwm0wl/Iebl5Z3wF82fzZs3j9GjR/PJJ59wySWXuDOm7jX2fSwrK2PdunVs3LiRe++9F6j7ha5pGgEBAXz77bdcdNFFHsmuJ035fkxOTiYlJYWoqCjnfZ07d0bTNPbt20eHDh3cmlmvmvJeTp8+nb59+/Lggw8C0K1bN8LCwujfvz9Tp06VkYwGatas2Unf94CAAOLi4hSl8l7u+l0jI0ICgMDAQNLT01m6dGm9+5cuXUqfPn1O+bwPP/yQ2267jQ8++ED6B2j8+xgZGclvv/1GZmam82Ps2LF07NiRzMxMLrjgAk9F15WmfD/27duXAwcOUF5e7rxvx44dGI1GUlNT3ZpXz5ryXlZWVmI01v/1YDKZgGMjGuLMevfufcL7/u2335KRkYHZbFaUyju59XeNS1quhU/46KOPNLPZrM2ZM0fLysrSJkyYoIWFhWk5OTmapmnaI488oo0aNcr5+A8++EALCAjQXnvtNe3gwYPOj+LiYlVfgi409n38M1k1Vqex72NZWZmWmpqqXXvttdrWrVu1lStXah06dNDGjBmj6kvQjca+l2+//bYWEBCgvf7669quXbu0NWvWaBkZGVqvXr1UfQm6UFZWpm3cuFHbuHGjBmgzZ87UNm7cqO3Zs0fTtBPfx927d2uhoaHaAw88oGVlZWlz5szRzGazNn/+fFVfgi409n109+8aKYREPa+99prWqlUrLTAwUDvvvPO0lStXOj936623agMHDnTeHjhwoAac8HHrrbd6PrjONOZ9/DMphI5p7Pu4bds27ZJLLtFCQkK01NRUbeLEiVplZaWHU+tTY9/Ll19+WevSpYsWEhKiJScna3/729+0ffv2eTi1vnz//fen/Zl3svdxxYoVWs+ePbXAwECtdevW2htvvOH54DrT2PfR3b9r5PR5IYQQQvgt6RESQgghhN+SQkgIIYQQfksKISGEEEL4LSmEhBBCCOG3pBASQgghhN+SQkgIIYQQfksKISGEEEL4LSmEhBBCCOG3pBASQgghhN+SQkgIIYQQfksKISGEVygoKCAxMZGcnJyzus6gQYOYMGGCSzKdjWuvvZaZM2eqjiGE35OzxoQQXmHSpEkUFRUxZ86cs7pOYWEhZrOZiIgIFyVrms2bNzN48GCys7OJjIxUmkUIfyYjQkIIXbFarSfcV1VVxZw5cxgzZsxZXz82NrbJRVBtbe1Zv75Dt27daN26Ne+//77LrimEaDwphIQQyuTk5GAwGJg/fz4DBgwgKCiIhQsXnvC4xYsXExAQQO/evZ33DRo0iPvuu48JEyYQExNDUlISs2fPpqKigttvv52IiAjatWvH4sWL613r+Kkxu93O888/T/v27QkKCqJly5Y8++yz9R577733MnHiROLj47n00ksBqKmpYfz48SQmJhIcHEy/fv349ddf6z1v/PjxPPTQQ8TGxtKsWTOeeuqpE76ukSNH8uGHH57NWyiEOEtSCAkhlMnMzATg+eef5/HHH2fr1q0MGTLkhMetWrWKjIyME+6fO3cu8fHx/PLLL9x3332MGzeO6667jj59+rBhwwaGDh3KqFGjqKysPOnrT5482fnaWVlZfPDBByQlJZ3wGgEBAfzwww/MmjULgIceeogFCxYwd+5cNmzYQPv27Rk6dCiFhYX1nhcWFsbPP//MjBkzmDJlCkuXLq137V69evHLL79QU1PTqPdNCOFCmhBCKPLUU09pYWFhWnZ29mkfd+WVV2p///vf6903cOBArV+/fs7bVqtVCwsL00aNGuW87+DBgxqg/fjjj/Wed//992ulpaVaUFCQ9uabb57ydQcOHKj16NGj3n3l5eWa2WzW3n//fed9tbW1WvPmzbUZM2acNJumadr555+vPfzww/Xu27RpkwZoOTk5p/36hRDuIyNCQghlMjMzGTlyJK1btz7t46qqqggODj7h/m7dujn/22QyERcXR9euXZ33OUZ38vLyTnjutm3bqKmp4eKLLz7ta/95JGrXrl1YLBb69u3rvM9sNtOrVy+2bdt20mwAycnJJ+QICQkBOOWIlRDC/aQQEkIos2nTJgYNGnTGx8XHx1NUVHTC/Wazud5tg8FQ7z6DwQDU9QL9maMIOZOwsLB6t7WjC20d1z7+/uPvO1m2P+dwTKUlJCQ0KIsQwvWkEBJCKFFaWkpOTg49e/Y842N79uxJVlaWS1+/Q4cOhISEsGzZskY9r3379gQGBrJmzRrnfRaLhXXr1tG5c+dGXWvLli2kpqYSHx/fqOcJIVwnQHUAIYR/2rRpE0ajsd5U1qkMHTqUyZMnU1RURExMjEtePzg4mIcffpiHHnqIwMBA+vbty5EjR9i6dSujR48+5fPCwsIYN24cDz74ILGxsbRs2ZIZM2ZQWVl52uedzOrVq0/aHC6E8BwphIQQSmzatIlOnTqdtPfnz7p27UpGRgYff/wxd911l8syPP744wQEBPDEE09w4MABkpOTGTt27Bmf99xzz2G32xk1ahRlZWVkZGSwZMmSRhVp1dXVLFy4kCVLlpzNlyCEOEuys7QQwissWrSISZMmsWXLFoxG75/Vf+211/j888/59ttvVUcRwq/JiJAQwisMHz6cnTt3sn//flq0aKE6zlkzm8288sorqmMI4fdkREgIIYQQfsv7x5eFEEIIIZpICiEhhBBC+C0phIQQQgjht6QQEkIIIYTfkkJICCGEEH5LCiEhhBBC+C0phIQQQgjht6QQEkIIIYTfkkJICCGEEH7r/wFPIKt2UtZUGwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(rg_h2o * 1.e4, Parr, label=\"$r=r_g$ (water)\", color=\"C3\")\n",
    "plt.plot(rw_h2o * 1.e4, Parr, ls=\"dashed\", label=\"$r=r_w$ (water)\", color=\"C3\")\n",
    "plt.plot(rg_nh3 * 1.e4, Parr, label=\"$r=r_g$ (ammonia)\", color=\"C2\")\n",
    "plt.plot(rw_nh3 * 1.e4, Parr, ls=\"dashed\", label=\"$r=r_w$ (ammonia)\", color=\"C2\")\n",
    "\n",
    "plt.ylim(1.e-5, 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": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 22/22 [00:18<00:00,  1.20it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(90390.80684117705, 88100.22763401923, 2290.579207157818, 0.7583448524510586, 23580.45271515206, 13634.662086381886, 11605.305841544483), (86652.55846908125, 84477.78069879461, 2174.777770286644, 0.756140868839557, 22775.45597385714, 13048.41259793701, 12152.553282776973), (82977.92130582071, 80905.0166885108, 2072.904617309905, 0.7533179260193078, 22030.72192947426, 12428.94485603218, 12707.729367956534), (79079.17303365558, 77107.94685596703, 1971.2261776885425, 0.7497058804083531, 21270.89184952231, 11871.890737329244, 13342.883168742057), (75985.84712741696, 74092.08420742989, 1893.7629199870717, 0.7467174623236104, 20659.994029777663, 11504.701360583565, 13891.098209048203), (73526.38934195708, 71690.64339726162, 1835.74594469546, 0.7441822138964882, 20175.487622919274, 11207.668334688795, 14348.332964415182), (70946.21155805342, 69168.46441573357, 1777.747142319844, 0.7412327130866662, 19676.283019140697, 10853.325738966236, 14833.144947620085), (68738.04259657016, 67008.8046831713, 1729.237913398858, 0.7384413577622587, 19255.969884303144, 10514.288856779296, 15249.235599093281), (66561.18448294864, 64879.469837555494, 1681.7146453931418, 0.7354680080723575, 18844.410036731097, 10163.656248868087, 15665.869394657262), (64436.43204384339, 62800.84616986153, 1635.585873981865, 0.7323955746672446, 18441.37022367843, 9839.160642541668, 16091.150943760811), (62383.38594315914, 60791.63147163626, 1591.7544715228796, 0.7292931287710837, 18048.466824110852, 9574.020000067962, 16532.133839652302), (60404.420372715125, 58853.74608086277, 1550.6742918523523, 0.7261720740895878, 17666.473513233053, 9366.346739619976, 16988.107685623847), (58779.872734711906, 57262.00901637288, 1517.8637183390238, 0.7234987908370082, 17350.878450468263, 9215.195421011076, 17380.495061533256), (56766.71562927819, 55288.64028868332, 1478.0753405948708, 0.7200247848426723, 16957.52430117508, 9026.341304954089, 17880.9708330551), (54668.96622011842, 53231.820257702915, 1437.1459624155032, 0.7161860704009534, 16545.078049464304, 8802.353584557248, 18411.536165874666), (51968.081689439554, 50583.61645854826, 1384.4652308912919, 0.7108631932127137, 16010.050569468753, 8446.88597437431, 19103.448367965928), (49395.4887093275, 48061.54822769703, 1333.940481630474, 0.7053496529349146, 15495.292347406743, 8045.236249742285, 19780.569827129395), (47323.69745189215, 46030.4547266183, 1293.242725273849, 0.7005704560685551, 15076.12079102219, 7714.670422680378, 20354.91590288206), (45582.7448070547, 44323.41155444984, 1259.3332526048616, 0.6963014594671493, 14720.28865312817, 7462.546219349325, 20868.614923519628), (44463.726146427565, 43225.97227879267, 1237.7538676348922, 0.6934263630726709, 14489.697398864268, 7320.314791008994, 21216.256642902925), (43053.75978928407, 41842.947098504425, 1210.8126907796468, 0.6896485999071407, 14196.829906811941, 7164.433685406664, 21674.06161272057), (41689.754852344646, 40504.788921099156, 1184.9659312454896, 0.6858209579104096, 13910.721714517473, 7035.056205387156, 22136.844261292623)]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "# refractive index data from Batalha and Marley (2020) https://zenodo.org/records/5179187 \n",
    "filepath = \"/home/kawahara/virga_data/\"\n",
    "_,wave,nn,kk  = np.loadtxt(open(filepath+\"NH3.refrind\",'rt').readlines(), unpack=True, usecols=[0,1,2,3])\n",
    "m_nh3 = nn + kk*(1j)\n",
    "#plt.plot(wave,nn)\n",
    "#plt.plot(wave,kk)\n",
    "#plt.xscale(\"log\")\n",
    "#plt.show()\n",
    "\n",
    "#df = pd.read_csv(filepath+\"NH3.mieff\",names=['wave','qscat','qext','cos_qscat'], delim_whitespace=True)\n",
    "#print(df)\n",
    "from tqdm import tqdm\n",
    "from PyMieScatt import Mie_Lognormal\n",
    "#at 0.6um, in 600 nm\n",
    "#Mie_Lognormal(m_nh3[100],600.0, sigmag, rg_nh3[0],1)\n",
    "\n",
    "#params: sigmag, Kzz, fsed\n",
    "\n",
    "wavenm = (wave[-30:-8]*1.e3)[::-1]\n",
    "npart=1.e6\n",
    "mie = []\n",
    "for wav in tqdm(wavenm):\n",
    "    mie.append(Mie_Lognormal(m_nh3[100],wav, sigmag, rg_nh3[0]*1.e7 ,npart)) #1.e7 = cm2nm\n",
    "print(mie)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.0"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sigmag"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We found here the particle size is basically sub-micron. So, we should use the Rayleigh scattering. \n",
    "But, here, we try to use the geometric cross section instead though this is wrong. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:44.331940Z",
     "iopub.status.busy": "2022-10-30T01:22:44.331117Z",
     "iopub.status.idle": "2022-10-30T01:22:44.366173Z",
     "shell.execute_reply": "2022-10-30T01:22:44.365907Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.atm.amclouds import layer_optical_depth_cloudgeo\n",
    "\n",
    "dtau_nh3 = layer_optical_depth_cloudgeo(Parr, muc_nh3, rhoc_nh3, mu,\n",
    "                               VMRc_nh3, rg, sigmag, g)\n",
    "dtau_Fe = layer_optical_depth_cloudgeo(Parr, muc_Fe, rhoc_Fe, mu, VMRc_Fe, rg, sigmag, g)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:44.379657Z",
     "iopub.status.busy": "2022-10-30T01:22:44.370860Z",
     "iopub.status.idle": "2022-10-30T01:22:44.573687Z",
     "shell.execute_reply": "2022-10-30T01:22:44.573378Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dtau_enstatite, Parr, color=\"C1\")\n",
    "plt.plot(dtau_Fe, Parr, color=\"C2\", ls=\"dashed\")\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.e-7, 10000)\n",
    "plt.xlabel(\"$d\\\\tau$\")\n",
    "plt.ylabel(\"Pressure (bar)\")\n",
    "#plt.xscale(\"log\")\n",
    "plt.gca().invert_yaxis()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compare with CIA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:44.576729Z",
     "iopub.status.busy": "2022-10-30T01:22:44.576296Z",
     "iopub.status.idle": "2022-10-30T01:22:48.426500Z",
     "shell.execute_reply": "2022-10-30T01:22:48.426186Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "xsmode assumes ESLOG in wavenumber space: mode=lpf\n",
      "H2-H2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/kawahara/exojax/src/exojax/utils/grids.py:123: UserWarning: Resolution may be too small. R=868.7669794117727\n",
      "  warnings.warn('Resolution may be too small. R=' + str(resolution),\n"
     ]
    }
   ],
   "source": [
    "#CIA\n",
    "from exojax.utils.grids import wavenumber_grid\n",
    "\n",
    "nus, wav, res = wavenumber_grid(9500, 30000, 1000, unit=\"AA\")\n",
    "\n",
    "from exojax.spec import contdb\n",
    "\n",
    "cdbH2H2 = contdb.CdbCIA('.database/H2-H2_2011.cia', nus)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:48.434436Z",
     "iopub.status.busy": "2022-10-30T01:22:48.433956Z",
     "iopub.status.idle": "2022-10-30T01:22:49.096682Z",
     "shell.execute_reply": "2022-10-30T01:22:49.095464Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.spec.rtransfer import dtauCIA\n",
    "\n",
    "mmw = 2.33  #mean molecular weight\n",
    "mmrH2 = 0.74\n",
    "molmassH2 = molmass(\"H2\")\n",
    "vmrH2 = (mmrH2 * mmw / molmassH2)  #VMR\n",
    "dtaucH2H2=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrH2,\\\n",
    "            mmw,g,cdbH2H2.nucia,cdbH2H2.tcia,cdbH2H2.logac)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:49.105862Z",
     "iopub.status.busy": "2022-10-30T01:22:49.104211Z",
     "iopub.status.idle": "2022-10-30T01:22:49.111118Z",
     "shell.execute_reply": "2022-10-30T01:22:49.109930Z"
    }
   },
   "outputs": [],
   "source": [
    "dtau = dtaucH2H2 + dtau_enstatite[:, None] + dtau_Fe[:, None]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:49.121247Z",
     "iopub.status.busy": "2022-10-30T01:22:49.119405Z",
     "iopub.status.idle": "2022-10-30T01:22:49.833268Z",
     "shell.execute_reply": "2022-10-30T01:22:49.832974Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from exojax.plot.atmplot import plotcf\n",
    "\n",
    "plotcf(nus, dtau, Tarr, Parr, dParr, unit=\"nm\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:49.836239Z",
     "iopub.status.busy": "2022-10-30T01:22:49.835783Z",
     "iopub.status.idle": "2022-10-30T01:22:50.073322Z",
     "shell.execute_reply": "2022-10-30T01:22:50.073030Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from exojax.plot.atmplot import plotcf\n",
    "\n",
    "plotcf(nus, dtaucH2H2, Tarr, Parr, dParr, unit=\"AA\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:50.079246Z",
     "iopub.status.busy": "2022-10-30T01:22:50.078958Z",
     "iopub.status.idle": "2022-10-30T01:22:50.397120Z",
     "shell.execute_reply": "2022-10-30T01:22:50.396828Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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l8OuIWCrp+0BdRMwCLpU0EfgY2ETyiEZS73Yyk11uBS7J9yYNaN7bNL6arF4j6X6gd0QsbuXnS9WYMWN48MEHeeutt+jfv3/a4Vg7KaUxamZmZmZm1hYVFRXUdOveqmMjYjaZefiyyy7PWv96nmP/Hfj35rbVnMc0kPR5ST8Fvgbs3dyTdzRjxowBYMmSJSlHYu2tVMaomZmZmZlZOWgyGSHpKuBiYAnwHPD3kq4sdGCF0Lt3b0aMGMHixYuJiKYPsE6hlMaomZmZmZlZOWjOnBHHAaMiuXqXdD2wtKBRFdCBBx7IrFmzWLVqFcOHe47DElFSY9TMzMzMzKzUNecxjeXA7lnbw5OyTmn06NF07dqVZ599Nu1QrP2U1Bg1MzMzMzNrLVVUUN29eqelo8mZjJB0j6RZQC9gmaRHJM0FliVlnVJ1dTWjR4/mueeeY8uWLWmHY21QqmPUzMzMzMys1OV7TOMnRYuiyA455BAWLVrE0qVLOeSQQ9IOx1qvZMeomZmZmZlZKcuXjHg0mpjlUZKaqtMR7b777gwYMIBnnnnGyYjOrWTHqJmZmZmZWSnLN2fEXElfk5T9LD6SqiQdl0wSOK2w4RWGJMaNG8frr7/OG2+8kXY41nolO0bNzMzMzMxao6JC1PSo3mnpaPIlIyYB24BbJa2R9LykV4GXganAzyPiN0WIsSAOOuggKisrqaurSzsUa72SHqNmZmZmZmalKmcyIiI+ioirIuJIYA/geOCQiNgjIi6MiGeKFmUBdO/enTFjxrB48WI2b96cdjjWCqU+Rs3MzMzMzIpJ0iRJL0paLml6I/u/mfwIvFjSw5L2aLC/t6RVkv6rqbaa82pPIuLjiFgbEW83+1N0AuPHj2fLli1+zWcJKNUxamZmZmZmVgySKoErgZOA0cBUSaMbVHsGqI2IA4E7gCsa7P8B8Ghz2mtWMqJUDR06lGHDhvHUU0+xffv2tMMxMzMzMzMzS8t4YHlErIiILcBMYHJ2hYiYGxEfJJvzgGH1+ySNAwYDDzSnsbJORgBMmDCBTZs28fLLL6cdipmZmZmZmVmbqKKC6m7VOy3AQEl1WctFDQ7dDXg9a3tVUpbLBcB9AJIqgP8LfKu5ceZ7tSeSTgP2AZZExJzmnrQpkn4MnAJsAV4B/jat2+tHjRpFnz59ePLJJ9lvv/3SCMHaoBzGqJmZmZmZWTvYEBG17XEiSV8CaoGjk6KvArMjYpWkZp0j550Rkq4C/hcwAPiBpP/TtnB38CAwJnnO5CXgO+147hapqKhgwoQJ/PnPf2bVqlVphWGtUC5j1MzMzMzMrAhWA8OztoclZTuQNBG4DDg1IurfBnE4cKmklcBPgC9L+mG+xvI9pnEUcFxEfAc4BjitefE3LSIeiIityeYOz5mkYezYsdTU1PDEE0+kGYa1XNmMUTMzMzMzswKbD4yUtKekKmAKMCu7gqRDgGvJJCLerC+PiHMiYveIGEHmUY0bImKnt3Fky5eM2BIR25ITfwA0716Lljuf5DmTxki6qP6ZlvXr1xckgKqqKsaPH88LL7xAodqwguhwY3TD+g0FCsHMzMzMzKxpFRWiukfNTktTkh9jLwXmAMuA2yNiqaTvSzo1qfZjoCfwW0nPSpqV43RNyjdnxP6SFifrAvZOtpWJMw7Md2JJDwFDGtl1WUT8PqlzGbAVuDnXeSJiBjADoLa2NvK12RaHHXYYTz75JI899hif//znC9WMta8ON0bH1Y4r2Bg1MzMzMzMrpIiYDcxuUHZ51vrEZpzjN8BvmqqXLxkxqqmDmwggb5CSzgNOBo6PiNQv4Lp3705tbS3z5s3j6KOPZsCAAWmHZE0rqzFqZmZmZmZWKvIlI15r6gJMklpzkSZpEvBt4Oisd5Sm7ogjjmD+/Pk8+uijnH766WmHY00ruzFqZmZmZmZWCvLNGTFX0tck7Z5dKKlK0nGSrgemtbLd/wJ6AQ8mz5lc08rztKuePXty6KGHsmTJEjZs8LP/nUDZjVEzMzMzM7N8VFFBdffqnZaOJt+dEZPITNx3q6Q9gbeBGqASeAD4eUQ805pGI2Kf1hxXDEceeSR1dXXMnTuXM888M+1wLL+yHKNmZmZmZmadXc5kRER8BFwFXCWpKzAQ+DAi3i5SbKno0aMHhx9+OI8++ihr1qxh6NChaYdkOZTrGDUzMzMzM+vs8j2m8YmI+Dgi1pbLRd4RRxxBt27deOihh9IOxZqp3MaomZmZmZlZZ9asZES5qa6u5qijjuLVV19l+fLlaYdjZmZmZmZmVlKcjMjh0EMPpV+/fjzwwANs37497XDMzMzMzMzMmlRRKWp61Oy0dDRNJiMkDZY0NlkGFyOojqCyspKJEyeyfv16FixYkHY4lke5jlEzMzMzM7P2JGmSpBclLZc0vZH9R0laKGmrpC802HeFpKWSlkn6hSTlayvnBJaSDgauAfoAq5PiYZLeBr4aEQtb+Lk6nVGjRrHHHnswd+5cxowZQ7du3dIOybJ4jJqZmZmZmbUPSZXAlcBngFXAfEmzIuL5rGqvAecB32pw7BHAkcCBSdHjwNHAI7nay3dnxG+Ar0fEqIiYmCz7A98A/rv5H6nzksSkSZP46KOPmDt3btrh2M5+Q5mPUTMzMzMzs3YyHlgeESsiYgswE5icXSEiVkbEYqDhXAYB1ABVQDXQFXgjX2P5khE9IuKphoURMQ/o0dSnKBVDhgyhtraWuro61q5dm3Y4tiOPUTMzMzMzsyxSBdXdqndagIGS6rKWixocuhvwetb2qqSsSRHxJDAXWJsscyJiWb5jcj6mAdwn6V7ghqyAhgNfBu5vTkCl4thjj2Xp0qXMnj2b888/nyYefbHi8Rg1MzMzMzNrng0RUVuIE0vaBxgFDEuKHpT0NxHxWK5jciYjIuIfJJ1E5raM+mzIauDKiJjdTjF3Ct26deOEE07g7rvvZsGCBdTWFuTPz1rIY9TMzMzMzKzdrCbz4269Yfx1br6mnA7Mi4j3ASTdBxwOtDwZARAR9wH3NbPxknbggQeyaNEiHnroIfbbbz969eqVdkiGx6iZmZmZmVk7mQ+MlLQnmSTEFODsZh77GnChpP8ARGbyyp/nO6DJV3s2RtKM1hzXmUni5JNPZtu2bdx7771ERNohWR7lOEbNzMzMzMwqKkVNj5qdlqZExFbgUmAOsAy4PSKWSvq+pFMBJB0qaRVwJnCtpKXJ4XcArwBLgEXAooi4J197+V7t2T/XLuCzTX6SEtS/f3+OPfZYHnzwQZYuXcqYMWPSDqmseYyamZmZmZm1n+Rx99kNyi7PWp/PX+eFyK6zDfj7lrSV7zGN9cCfyVzYfdJGsr1LSxopJRMmTOD5559n9uzZjBgxgp49e6YdUjnzGDUzMzMzM+uE8j2msQI4JiL2zFr2iog9aeJ9oaWsoqKC0047jS1btnDPPff4cY10eYyamZmZmZl1QvmSET8H+uXYd0X7h9J5DBw4kOOPP56XXnqJZ555Ju1wytnP8Rg1MzMzMzPrdHImIyLiyohYlGPff7ZH45ImSXpR0nJJ09vjnMUyYcIERowYwf3338/GjRvTDqcseYyamZmZmZntSBUVVHev3mnpaPK+2hNA0ucbKX4HWBIRb7a2YUmVwJXAZ4BVwHxJsyLi+daes5gkcfrpp3P11Vfzu9/9jvPPP5/Kysq0wypLHqNmZmZmZmadS3Ne7XkB8CvgnGT5JfDPwBOSzm1D2+OB5RGxIiK2ADOByW04X9H17t2bU089lTVr1vDwww+nHU458xg1MzMzMzPrRJqTjOgCjIqIMyLiDGA0mTcWHEbmgq+1dgNez9pelZTtQNJFkuok1a1fv74NzRXGqFGjqK2t5cknn+Sll15KO5xy1WHG6Ib1G9rQnJmZmZmZWXloTjJieERkv5ngzaTsLeDjwoT1VxExIyJqI6J20KBBhW6uVU488USGDBnCXXfdxdtvv512OOWow4zRgYMGFro5MzMzMzOznCoqRE2Pmp2WjqY5yYhHJP1B0jRJ04BZSVkP4O02tL0aGJ61PSwp63S6dOnCmWeeSUTw29/+lq1bt6YdUrnxGDUzMzMzM2ujpibwl3SUpIWStkr6Qlb5wZKelLRU0mJJX2yqreYkIy4B/hs4OFmuBy6JiL9ExLHN/VCNmA+MlLSnpCpgCpmLyE6pf//+nHbaaaxZs4bZs2enHU658Rg1MzMzMzNrg6wJ/E8i8+j7VEmjG1R7DTgPuKVB+QfAlyPiAGAS8HNJffO11+TbNCIiJD0ObCHzHP7TERFNf5Qmz7tV0qXAHKAS+HVELG3redO0//778+lPf5rHH3+coUOHUltbm3ZIZcFj1MzMzMzMrM0+mcAfQFL9BP6fvE0wIlYm+7ZnHxgRL2Wtr5H0JjCIPHeqN+fVnmcBPwYeAQT8p6R/iog7mvuJcomI2UBJ3UZw7LHHsm7dOu677z4GDRrEHnvskXZIJc9j1MzMzMzMLEMVFVR3q25s10BJdVnbMyJiRtZ2YxP4H9bi9qXxQBXwSr56TSYjgMuAQyPizeTEg4CHgDZf6JWiiooKzjjjDH71q19x2223ceGFF9KvX7+0wyp1HWaMbt8e/GXz5mI3a2ZmZmZm1pQNEVHQ2/cl7QrcCEyLiO356jYnGVFRf5GX2Ejz5pooWzU1NUydOpVf/epX3HLLLVxwwQXU1HS82UtLSIcZo9u2b+e9j5yMMGsNJ/LMzMzMUtWmCfwl9QbuBS6LiHlN1W9OMuJ+SXOAW5PtL+Lb1ps0YMAAvvjFL3LjjTdy++23c84551BZWZl2WKWqw4zRD7dsYfFrr6XRtFmH995HH6UdgpmZmZnl9skE/mSSEFOAs5tzYDLh/13ADc19XL45E1j+k6QzgCOTohkRcVdzTl7uRowYwamnnsrdd9/NPffcw+TJk5GUdlglpyON0Q/+8iEL/2dJGk23q4/+4otGMyt9mz/w3ThmZmb1ck3gL+n7QF1EzJJ0KJmkQz/gFEnfS96gcRZwFDBA0nnJKc+LiGdztdecOyOIiDuBO1v7ocrZQQcdxNtvv80jjzxCz549mThxYtohlaSOMkbffesdHr697TdlfPTRX9ohGjMzMzMzKzeVEr1aOU1AYxP4R8TlWevzyTy+0fC4m4CbWtJWzmSEpPfIvCZxp12ZtqJ3SxoqZ0cddRTvvvsuTzzxBD179mTChAlph1QSOuIY3bz5A156aX6xmzVrsZqaHmmHYGZmBkB1dfe0QzCzFORMRkREr2IGUsok8bnPfY4PPviAOXPm0K1bNw466KC0w+r0OuIY/fjjLbz5ZueeM8L/Q9AxtXfyYPPmD9v1fFaeqqu7pR2CmZWAUrsj1Al/s+Zp1mMa1nb1r/y85ZZb+P3vf09VVRWjRo1KOyxrZz179mXcuBPTDqNk+R9368h8YW5mVrpquvnHmnLz6quL0w6h5DkZUURdunRhypQp3Hjjjdxxxx1MnTqVffbZJ+2wrB0N3WMo37vmX9MOo1PrUV2ddghmZmZmVuZuv+2KtENotYqKCnq2cs6IYnIyosiqqqo455xzuP7665k5cyZnn302e+21V9phWTvpXlXFQbsPb7qimZmZmZlZGXMyIgU1NTWce+653HDDDdx6661MnTrVCYkSUVEh/7JvZmZmZmbWhIq0AyhX3bt359xzz6V///7ceuutvPLKK2mHZGZmZmZmZlYUTkakqEePHkybNo0BAwZw66238uKLL6YdkpmZmZmZmVnBORmRsu7duzNt2jQGDx7M7bffznPPPZd2SGZmZmZmZtZJVSrz6HjDpaNxMqID6NatG1/+8pcZNmwYd955JwsWLEg7JDMzMzMzMyszkiZJelHScknTG9lfLem2ZP9TkkZk7TtQ0pOSlkpaIinvKz2cjOggqqur+dKXvsTIkSP5wx/+wGOPPUZEpB2WmZmZmZmZlQFJlcCVwEnAaGCqpNENql0AbIqIfYCfAT9Kju0C3ARcHBEHAMcAH+drL7VkhKThkuZKej7JnHw9rVg6iq5du/LFL36RT33qU/zxj3/k/vvvZ/v27WmHVbY8Rs3MzMzMrIyMB5ZHxIqI2ALMBCY3qDMZuD5ZvwM4XpKAE4DFEbEIICI2RsS2fI2l+WrPrcA/RsRCSb2ABZIejIjnU4wpdZWVlZx++un06NGDefPm8d5773H66afTtWvXtEMrRx6jZmZmZmbWqVRUVNCzptEnJAZKqsvanhERM7K2dwNez9peBRzW4Byf1ImIrZLeAQYA+wIhaQ4wCJgZEVfkizO1ZERErAXWJuvvSVpG5oOV/YWeJE488UT69OnDnDlzeO+995gyZQo9evRIO7Sy4jFqZmZmZmYlZENE1Bbo3F2ATwOHAh8AD0taEBEP5zqgQ8wZkUx6cQjwVCP7LpJUJ6lu/fr1RY8tTRMmTOCss85i3bp1XHfddZTb5+9I8o1RMzMzMzOzErAaGJ61PSwpa7ROMk9EH2AjmbsoHo2IDRHxATAbGJuvsdSTEZJ6AncC34iIdxvuj4gZEVEbEbWDBg0qfoApGzVqFNOmTWPLli1cd911vPLKK2mHVHaaGqPZCbMN6zcUP0AzMzMzM7O2mw+MlLSnpCpgCjCrQZ1ZwLRk/QvAHyPz5oU5wKckdU+SFEfTxB3lqSYjJHUlc5F3c0T8Ls1YOrJhw4Zx4YUX0rdvX26++WbmzZvnN20USXPGaHbCbOCggcUN0MzMzMzMLEuFRI/q6p2WpkTEVuBSMomFZcDtEbFU0vclnZpUuw4YIGk58E1genLsJuCnZBIazwILI+LefO2lNmdEMuPmdcCyiPhpWnF0Fn369OH888/nrrvuYs6cOaxbt47Pfe5zntiygDxGzczMzMysnETEbDKPWGSXXZ61/hFwZo5jbyLzes9mSfPOiCOBc4HjJD2bLJ9NMZ4Or6qqirPOOoujjz6aRYsW8d///d+88847aYdVyjxGzczMzMzMCiDNt2k8Diit9jsrSRxzzDHsuuuu3HXXXVx77bWcccYZ7L333mmHVnI8Rs3MzMzMzAoj9QksrXX2228/LrzwQnr16sVNN93EI488wvbt29MOy8zMzMzMzKxJTkZ0YgMGDOCCCy7gwAMP5E9/+hM333wz77//ftphmZmZmZmZWUoqKyroVVO909LROBnRyVVVVXHaaadxyimn8Nprr3HNNdewYsWKtMMyMzMzMzMzy8nJiBIgibFjx/J3f/d3dOvWjRtvvJGHHnqIbdu2pR2amZmZmZmZ2U6cjCghgwcP5qKLLmLs2LE88cQT/PrXv2bjxo1ph2VmZmZmZma2AycjSkzXrl055ZRTOOuss9i0aRPXXnstdXV1RETaoZmZmZmZmVmBVVSIHtXVOy0djZMRJWrUqFF85StfYffdd+fee+/llltu4d133007LDMzMzMzM+ugJE2S9KKk5ZKmN7K/WtJtyf6nJI3I2vedpPxFSSc21ZaTESWsV69enHPOOZx00kmsXLmSq6++msWLF/suCTMzMzMzM9uBpErgSuAkYDQwVdLoBtUuADZFxD7Az4AfJceOBqYABwCTgKuS8+XkZESJk8T48eO5+OKLGTRoEHfddRczZ87kvffeSzs0MzMzMzMz6zjGA8sjYkVEbAFmApMb1JkMXJ+s3wEcL0lJ+cyI2BwRrwLLk/Pl5GREmRgwYADnnXceJ5xwAitWrODKK69k4cKFvkvCzMzMzMyshCxcsHBOVZeuCxouQI2kuqzlogaH7ga8nrW9KilrtE5EbAXeAQY089gddGnxJ7NOq6KigsMPP5x9992Xe+65h3vuuYclS5Zwyimn0L9//7TDMzMzMzMzszaKiElpx9AcvjOiDA0YMIBp06Zx8skns3btWq666ioeffRRtm3blnZoZmZmZmZmlo7VwPCs7WFJWaN1JHUB+gAbm3nsDpyMKFOSGDduHJdccgn77bcfc+fO5ZprrmHlypVph2ZmZmZmZmbFNx8YKWlPSVVkJqSc1aDOLGBasv4F4I+RefZ/FjAledvGnsBI4Ol8jTkZUeZ69erFmWeeydSpU9m6dSvXX389d911F++//37aoZmZmZmZmVmRJHNAXArMAZYBt0fEUknfl3RqUu06YICk5cA3genJsUuB24HngfuBSyIi76336kwTGNbW1kZdXV3aYZSsjz/+mMcee4z/+Z//obKykmOOOYbx48dTWZn3jSwASFoQEbVFCLNDG1c7LuY99VTaYZiZmZmZWRtUdenq65sC850R9omuXbty3HHH8ZWvfIXdd9+dBx54gGuuuYZXXnkl7dDMzMzMzMyshKSejJBUKekZSX9IOxbLGDBgAGeffTZTpkxh27Zt3HTTTdx6661s3Lgx7dDMzMzMzMysBKSejAC+TuZ5FOtAJLHffvvx1a9+lYkTJ7Jy5Uquuuoq7r//fj788MO0wysqJ8zMzMzMzMzaV6rJCEnDgM8Bv0ozDsutS5cuHHnkkXzta1/j4IMP5umnn+YXv/gFa9asSTu0YnLCzMzMzMzMrB11Sbn9nwPfBnrlqiDpIuCiZPN9SS8WIa5cBgIbUmy/XupxTJ8+vX61PpY90oumcLISZv9OZrZYMzMzMzMza6PUkhGSTgbejIgFko7JVS8iZgAzihVXPpLqOsKMqh0lDuhYsRTIz2lhwqyqS9f2SJilnnAqQ+7z4nJ/F5f7u/jc58Xl/i4+93lxub+Lb7+0Ayh1ad4ZcSRwqqTPAjVAb0k3RcSXUozJ7BNpJszKIMnT4bjPi8v9XVzu7+JznxeX+7v43OfF5f4uPkl1acdQ6lKbMyIivhMRwyJiBDAF+KMTEdbB1CfMVgIzgeMk3ZRuSGZmZmZmZp1fR3ibRmfSIR4XoePEAR0rlnblhJmZmZmZmVlhpD2BJQAR8QjwSMphNCm5HT91HSUO6FixlBj3a/G5z4vL/V1c7u/ic58Xl/u7+NznxeX+Lj73eYEpItKOwczMzMzMzMzKiB/TMDMzMzMzM7OiKvtkhKRfS3pT0nNZZf0lPSjp5eS//ZJySfqFpOWSFksam3XMtKT+y5KmtSKO4ZLmSnpe0lJJX08jFkk1kp6WtCiJ43tJ+Z6Snkrau01SVVJenWwvT/aPyDrXd5LyFyWd2NI+MTMzMzMzs9JU9skI4DfApAZl04GHI2Ik8HCyDXASMDJZLgKuhkzCAPhX4DBgPPCv9UmDFtgK/GNEjAYmAJdIGp1CLJuB4yLiIOBgYJKkCcCPgJ9FxD7AJuCCpP4FwKak/GdJPZLYpwAHkOnfqyRVtqhHSkChk12SxklakhzzC0kq7ifsWHL0948lvZD06V2S+iblIyR9KOnZZLkm65hG+zXXn125ytHf35W0OqtfP5u1r9EEpaRJSdlySdOzyhtNgpazHH1+W1Z/r5T0bFLuMd5GKsIPBf4e/6s8/e3v8QLJ0+f+Li+APP3t7/ECURF+aM019q0ZIqLsF2AE8FzW9ovArsn6rsCLyfq1wNSG9YCpwLVZ5TvUa2VMvwc+k2YsQHdgIZnExgagS1J+ODAnWZ8DHJ6sd0nqCfgO8J2sc31Sr5wW4ChgbIPxdQUwPVmfDvwoWf8scF/SfxOAp5Ly/sCK5L/9kvV+yb6nk7pKjj0p7c/cAfv7hKyx+6Os/t7h732D8zTar7n+7Mp1ydHf3wW+1Ujd0cAioBrYE3gFqEyWV4C9gKqkzujkmNuBKcn6NcBX0v7MaS+N9XmD/f8XuDxZ9xhve3/vCoxN1nsBLyVj2d/jxe1vf48Xv8/9XV7E/m5Qx9/j7dvnAnom612Bp5J+a3RcAl8FrknWpwC3JestHvteml58Z0TjBkfE2mR9HTA4Wd8NeD2r3qqkLFd5qyQZuEPI/GUpeiySKpOM7JvAg2T+gr0dEVsbOecn7SX73wEGtEccpSAiHgXealA8Gbg+Wb8eOC2r/IbImAf0lbQrcCLwYES8FRGbyPyZTEr29Y6IeZH5lrwh61xlqbH+jogHssbuPGBYvnM00a+5/uzKUo7xnctkYGZEbI6IV4HlZO7eGg8sj4gVEbEFmAlMTn7hOQ64Izm+7Psb8vd50mdnAbfmO4fHePNFxNqIWJisvwcsI/Nvmb/HCyBXf/t7vHDyjPFc/F3eBk31t7/H21/yffx+stk1WYLc4zK7/+4Ajk/+XFo09gv7qUqHkxFNSP6CF+2VI5J6AncC34iId9OIJSK2RcTBZP6xHw/sX+g2y0x7JZh2S9Yblltu55P59aDenpKekfQnSX+TlOXr11x/drajS5PbqX+ddXtoS8f3AHInQa1xfwO8EREvZ5V5jLeTAv1Q4O/xHBr0dzZ/jxdII33u7/ICyjHG/T1eAAX+odU/wLaBkxGNeyPJONZnHt9MylcDw7PqDUvKcpW3iKSuZBIRN0fE79KMBSAi3gbmknkso6+kLo2c85P2kv19gI3tGUcpK3ayq5xJuozM3Cw3J0Vrgd0j4hDgm8Atkno393z+s8vpamBvMnPOrCVzu6kVx1R2/DXNY7yddIQfCspJrv7293jhNNLn/i4voDzfKf4eLwD/0NpxORnRuFlA/eRS08jM31Bf/mVlTADeSTKPc4ATJPVLMscnJGXNltz+cx2wLCJ+mlYskgbprxNDdSMzb8UyMkmJL+SIoz6+LwB/TL74ZgFTkklg9iQz0ebTzY2jxLVXgmk1O96q6oRPDpLOA04GzknGJ8ltdhuT9QVksuT7kr9fc/3ZWSIi3kj+0d8O/JLMP/rQ8vG9kdxJUGsg6afPA7fVl3mMt48C/1Dg7/EGcvS3v8cLqLE+93d54eQZ4/4eL7AC/dDqH2DboOyTEZJuBZ4E9pO0StIFwA+Bz0h6GZiYbAPMJjPp1HIyX8xfBYiIt4AfAPOT5ftJWUscCZwLHKcdZy4udiy7AnMlLU6OfzAi/gD8M/BNScvJ3Kp0XVL/OmBAUv5Nkrd9RMRSMhPDPA/cD1wSEdta2Celql0STMm+dyVNSJJZX846lyUkTQK+DZwaER9klQ9S8oYXSXuRSZitaKJfc/3ZWaL+f4ASpwP1b33IlaCcD4xUZlbrKjKTRc1KLjZyJUFtZxOBFyLik9t2PcbbrtA/FPh7fEe5+tvf44WTp8/9XV4Aeb5TwN/jBVGEH1obHfsF/2ClIjrALJpevJTqQuZWu7XAx2SeIbuATDLnYeBl4CGgf1JXwJVkst5LgNqs85xPJvG0HPjbrPJaMv+D8ArwX4DS/swdsL+Xk3mW79lkqZ8h+QxgaVK2EDilqX7N9WdXrkuO/r4xGb+LyfxjvGtW/cuSPn2RrDcGkHkDwUvJvsuyyvci8w/9cuC3QHXanzntpbE+T8p/A1zcoK7HeNv7+9NkbnFenPUd8ll/jxe9v/09Xvw+93d5Efs72efv8cL0+YHAM0mfP8df31TS6LgEapLt5cn+vbLO1aKx76XppX7QmpmZmZmZmZkVRdk/pmFmZmZmZmZmxeVkhJmZmZmZmZkVlZMRZmZmZmZmZlZUTkaYmZmZmZmZWVGVdDJCUl9JX007juaQ9A1J3Qt4/tMkXZ6sf1fSt5L1GkkPJmVVkh7NeueumZmZmZmZWbsr6WQE0BfoEMmI5J3j+fr7G0CLkhEtTBp8G7iqwfFVwJ3Agoj4bkRsIfMqoC+2JA4zMzMzMzOzlij1ZMQPgb0lPSvpxwCS/knSfEmLJX0vKRsh6QVJv5H0kqSbJU2U9ISklyWNT+p9V9KNkp5Myi+sbyjPeV+UdAOZ99oOl3S1pDpJS7Pq/QMwFJgraW5S9n7Wub8g6TfJ+m8kXSPpKeAKSXtLul/SAkmPSdq/YSdI2hfYHBEbsoq7ALcBL0fE9Kzyu4Fz2tLpZmZmZmZmZvmU+u3404ExEXEwgKQTgJHAeEDALElHAa8B+wBnAucD84GzgU8DpwL/GzgtOeeBwASgB/CMpHuBMXnOOxKYFhHzkhgui4i3JFUCD0s6MCJ+IembwLENEga5DAOOiIhtkh4GLo6IlyUdRubuh+Ma1D8SWNig7NvAgxHxjQblzwGHNiMGMzMzKyJJ/0nm3/S/j4j5acdjZmbWFqWejGjohGR5JtnuSSZZ8BrwakQsAZC0FHg4IkLSEmBE1jl+HxEfAh8mdzGMJ5O0yHXeP9cnIhJnSbqITN/vCowGFrfwc/w2SUT0BI4Afiupfl91I/V3BdY3KHscOELSvhHxUn1hct4tknpFxHstjMvMzMwKQFIPYBfg74GTyfxwYmZm1mmVWzJCwH9ExLU7FEojgM1ZRduztrezYz9Fg3NGE+f9S9b2nsC3gEMjYlPy6EVNjliz22lYp/6cFcDb9Xd+5PEh0KdB2aPA9cB9kj4dEWuz9lUDHzVxTjMzs5Ih6f2I6NmO5+sLnB0RVyXbI4A/RMSYZhzbDbgfOC4itgFExF8k7Qo8Auye1KsCHkrqbW2v2M3MzIqh1OeMeA/olbU9Bzg/uaMASbtJ2qWF55ycvIFiAHAMmV8mmnve3mQSCe9IGgyclCfWNySNSia9PL2xQCLiXeBVSWcm7UrSQY1UXUbmMZSGx98J/AS4P/mfJpLPtSEiPs7VAWZmZtakvrR+Eu3zgd/VJyLgk3+fu5P5/4WtAJ542szMOrOSTkZExEbgCUnPSfpxRDwA3AI8mTx+cQc7JgCaYzEwF5gH/CAi1jT3vBGxiMyjHC8k9Z/I2j2DTFJgbrI9HfgD8D9A9l0LDZ0DXCBpEbAUmNxInUeBQ5T1LEdWTFcDd5GZ56IGOBa4N097ZmZmRZFMDv0PyfrPJP0xWT9O0s3J+t3JJM5Lk8cgkfRDSZdknSf7ldZfkvR0Mrn1tckcTg3b3alOMin1Mkm/TNp6ILmDAUn/J5mw+nFJtyZt7TSJNlDZ2PGNOAf4fYOyfyHzA8JS4ICs8rvxxNNmZtYJKaLhUweWi6TvAu9HxE/SjqWlJP0/4J6IeKiJer8DpmfPI2FmZpYGSROAf4yIMyU9RuYxwiPJTCy9LiKuldQ/mRi6G5m7FY8m8xjDzyPi6OQ8zwMnkpnT6Qrg8xHxsaSrgHkRcUP9YxqSRjVWh0xifzlQGxHPSrodmAW8CPySzOTWXclMGH0tmR8mPnksI3lMY6fjI+KmBp+5CngtIoZklY0g8wasCcB/Aosi4pfJvsqkLwa1R5+bmZkVS7nNGVHO/j/gsHwVkv8ButuJCDMz6yAWAOMk9SYzl9NCoBb4G+Afkjr/IKn+ccbhwMiImCdpF0lDgUHApoh4XdKlwDhgfnKzYDfgzQZtHp+jzqNkJrt+Niu2EcBAMpNbfwR8JOmePJ+nseMbGgi83aDs34DvJxNrLyPrzghPPG1mZp2VkxEtEBHfTTuG1oqIN8j8gpOvzhbghuJEZGZmll9yZ8KrwHlkHltcTOZxwn2AZZKOASYCh0fEB5Ie4a+TPv8W+AIwhMxdBZCZcPr6iPhOnmYbrdPIZNfbyCQqWqI5x39I1sTVkg4GPg98WtKVyb4lDY7xxNNmZtbplPScEWZmZtbpPUbmTVSPJusXA89E5jnTPmTuevhA0v5kHmOodxswhUxC4rdJ2cPAF+onmZbUX9IeDdprTp1sTwCnJJNb9yTz2k3YeWLqZomITWTmlqhPSPwIODUiRkTECOAgsu6M8MTTZmbWWTkZYWZmZh3ZY8CuwJPJXX4fJWWQef1ll+TRhR+SmdsBgIhYSiYZsLr+9dUR8TyZiSAfkLQYeDA5N1nHNVmnQf35ZO48XAzcR+auhXcaTqLdws/8AJk7IY4DumfP95T0QU9J/ZMiTzxtZmadkiewNDMzM2sDST0j4n1J3cncwXFRRCxsw/nGAv8rIs5tRl1PPG1mZp2S54wwMzMza5sZkkaTmc/h+rYkIgAiYqGkuZIqI2JbrnqeeNrMzDoz3xlhZmZmZmZmZkXlOSPMzMzMzMzMrKicjDAzMzMzMzOzonIywszMzMzMzMyKyskIMzMzMzMzMysqJyPMzMzMzMzMrKicjDAzMzMzMzOzonIywszMzMzMzMyK6v8HIUv0H+3foo8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1440x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from exojax.plot.atmplot import plotcf\n",
    "\n",
    "plotcf(nus,\n",
    "       dtau_enstatite[:, None] + np.zeros_like(dtaucH2H2),\n",
    "       Tarr,\n",
    "       Parr,\n",
    "       dParr,\n",
    "       unit=\"AA\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:50.402987Z",
     "iopub.status.busy": "2022-10-30T01:22:50.399894Z",
     "iopub.status.idle": "2022-10-30T01:22:50.732775Z",
     "shell.execute_reply": "2022-10-30T01:22:50.732473Z"
    }
   },
   "outputs": [],
   "source": [
    "from exojax.spec import planck\n",
    "from exojax.spec.rtransfer import rtrun\n",
    "\n",
    "sourcef = planck.piBarr(Tarr, nus)\n",
    "F0 = rtrun(dtau, sourcef)\n",
    "F0CIA = rtrun(dtaucH2H2, sourcef)\n",
    "F0cl = rtrun(dtau_enstatite[:, None] + np.zeros_like(dtaucH2H2), sourcef)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-10-30T01:22:50.743739Z",
     "iopub.status.busy": "2022-10-30T01:22:50.737339Z",
     "iopub.status.idle": "2022-10-30T01:22:50.878863Z",
     "shell.execute_reply": "2022-10-30T01:22:50.878533Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wav[::-1], F0, label=\"Clouds+CIA\")\n",
    "plt.plot(wav[::-1], F0CIA, label=\"CIA only\", ls=\"dashed\")\n",
    "plt.plot(wav[::-1], F0cl, label=\"Clouds only\", ls=\"dotted\")\n",
    "plt.xlabel(\"wavelenght AA\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.8 ('base')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  },
  "vscode": {
   "interpreter": {
    "hash": "72bc7f8b1808a6f5ada3c6a20601509b8b1843160436d276d47f2ba819b3753b"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}