diff --git a/docs/analysing_tardis_outputs/index.rst b/docs/analysing_tardis_outputs/index.rst
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+*******************************
+Analysing TARDIS outputs
+*******************************
+
+This section provides an overview of how to analyze the outputs generated by TARDIS.
+
+.. toctree::
+ :maxdepth: 2
+ :hidden:
+
+ analysing_tardis_outputs/spectrum/spectrum-visualization-notebook
+
diff --git a/docs/analysing_tardis_outputs/liv_not.ipynb b/docs/analysing_tardis_outputs/liv_not.ipynb
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@@ -0,0 +1,4429 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Analyzing Last Interaction Velocity (LIV) Distribution\n",
+ "\n",
+ "
\n",
+ "\n",
+ "**Note:**\n",
+ "\n",
+ "This notebook demonstrates how to calculate and visualize the last interaction velocity distribution of packets in a TARDIS simulation. Instead of using the `LIVPlotter` class, we will extract the necessary data directly from the simulation object and perform the calculations and plotting manually.\n",
+ "\n",
+ "
"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/home/abhinav/workspace/code/tardis-main/tardis-code/tardis/tardis/__init__.py:20: UserWarning: Astropy is already imported externally. Astropy should be imported after TARDIS.\n",
+ " warnings.warn(\n"
+ ]
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "f022a8f41e5f4aa6bc11bf1a7fca13f8",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "Iterations: 0/? [00:00, ?it/s]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "28fa2a8381744f039987c31da80cc16a",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "Packets: 0/? [00:00, ?it/s]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import matplotlib.pyplot as plt\n",
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "from astropy import units as u\n",
+ "\n",
+ "from tardis.util.base import atomic_number2element_symbol, int_to_roman\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Running the Simulation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ " \n",
+ " "
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/html": [
+ ""
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mtardis.io.model.parse_atom_data\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tReading Atomic Data from kurucz_cd23_chianti_H_He.h5 (\u001b[1mparse_atom_data.py\u001b[0m:40)\n",
+ "[\u001b[1mtardis.io.atom_data.util\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tAtom Data kurucz_cd23_chianti_H_He.h5 not found in local path.\n",
+ "\tExists in TARDIS Data repo /home/abhinav/Downloads/tardis-data/kurucz_cd23_chianti_H_He.h5 (\u001b[1mutil.py\u001b[0m:34)\n",
+ "[\u001b[1mtardis.io.atom_data.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tReading Atom Data with: UUID = 6f7b09e887a311e7a06b246e96350010 MD5 = 864f1753714343c41f99cb065710cace (\u001b[1mbase.py\u001b[0m:258)\n",
+ "[\u001b[1mtardis.io.atom_data.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tNon provided Atomic Data: synpp_refs, photoionization_data, yg_data, two_photon_data, linelist_atoms, linelist_molecules (\u001b[1mbase.py\u001b[0m:262)\n",
+ "[\u001b[1mtardis.io.model.parse_density_configuration\u001b[0m][\u001b[1;33mWARNING\u001b[0m] \n",
+ "\tNumber of density points larger than number of shells. Assuming inner point irrelevant (\u001b[1mparse_density_configuration.py\u001b[0m:114)\n",
+ "[\u001b[1mtardis.model.matter.decay\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tDecaying abundances for 1123200.0 seconds (\u001b[1mdecay.py\u001b[0m:101)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 1 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mpy.warnings \u001b[0m][\u001b[1;33mWARNING\u001b[0m] \n",
+ "\t/home/abhinav/workspace/code/tardis-main/tardis-code/tardis/tardis/transport/montecarlo/montecarlo_main_loop.py:123: NumbaTypeSafetyWarning:\n",
+ "\n",
+ "\u001b[1m\u001b[1m\u001b[1munsafe cast from uint64 to int64. Precision may be lost.\u001b[0m\u001b[0m\u001b[0m\n",
+ "\n",
+ " (\u001b[1mwarnings.py\u001b[0m:112)\n"
+ ]
+ },
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 7.942e+42 erg / s\n",
+ "\tLuminosity absorbed = 2.659e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ ]
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10703.212 K\n",
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+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tStarting iteration 3 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10673.712 K\n",
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+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 4 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10635.953 K\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\t\n",
+ "\tCurrent t_inner = 10638.407 K\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tStarting iteration 6 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
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+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10650.202 K\n",
+ "\tExpected t_inner for next iteration = 10645.955 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 7 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.061e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.382e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 5/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10645.955 K\n",
+ "\tExpected t_inner for next iteration = 10642.050 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 8 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.062e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.350e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 6/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10642.050 K\n",
+ "\tExpected t_inner for next iteration = 10636.106 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 9 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.052e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.411e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 7/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10636.106 K\n",
+ "\tExpected t_inner for next iteration = 10654.313 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 10 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.070e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.335e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 8/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10654.313 K\n",
+ "\tExpected t_inner for next iteration = 10628.190 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 11 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.053e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.363e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 9/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10628.190 K\n",
+ "\tExpected t_inner for next iteration = 10644.054 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 12 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.056e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.420e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 10/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10644.054 K\n",
+ "\tExpected t_inner for next iteration = 10653.543 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 13 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.062e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.406e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 11/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10653.543 K\n",
+ "\tExpected t_inner for next iteration = 10647.277 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 14 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.063e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.369e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 12/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
+ {
+ "data": {
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10647.277 K\n",
+ "\tExpected t_inner for next iteration = 10638.875 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 15 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.053e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.417e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 13/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10638.875 K\n",
+ "\tExpected t_inner for next iteration = 10655.125 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 16 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.059e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.445e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 14/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10655.125 K\n",
+ "\tExpected t_inner for next iteration = 10655.561 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 17 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.067e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.372e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 15/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10655.561 K\n",
+ "\tExpected t_inner for next iteration = 10636.536 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 18 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.057e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.365e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 16/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10636.536 K\n",
+ "\tExpected t_inner for next iteration = 10641.692 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 19 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.056e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.405e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 17/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
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+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10641.692 K\n",
+ "\tExpected t_inner for next iteration = 10650.463 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tSimulation finished in 19 iterations \n",
+ "\tSimulation took 58.03 s\n",
+ " (\u001b[1mbase.py\u001b[0m:542)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 20 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.061e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.401e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n"
+ ]
+ },
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+ ""
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+ "text/html": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from tardis import run_tardis\n",
+ "\n",
+ "# Run the TARDIS simulation\n",
+ "simulation = run_tardis(\n",
+ " \"tardis_example.yml\",\n",
+ " virtual_packet_logging=True,\n",
+ " show_convergence_plots=True,\n",
+ " export_convergence_plots=True,\n",
+ " log_level=\"INFO\",\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Extracting Data from the Simulation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Extract required data from the simulation\n",
+ "time_explosion = simulation.plasma.time_explosion\n",
+ "velocity = simulation.simulation_state.velocity\n",
+ "\n",
+ "# Extract packet interaction data from the transport state\n",
+ "transport_state = simulation.transport.transport_state\n",
+ "\n",
+ "# Create a DataFrame for packet interaction data\n",
+ "packet_nus = u.Quantity(transport_state.packet_collection.output_nus[\n",
+ " transport_state.emitted_packet_mask\n",
+ " ], u.Hz)\n",
+ "packets_df = pd.DataFrame(\n",
+ " {\n",
+ " \"nus\": packet_nus,\n",
+ " \"lambdas\": packet_nus.to(\n",
+ " \"angstrom\", u.spectral()\n",
+ " ),\n",
+ " \"energies\": transport_state.packet_collection.output_energies[\n",
+ " transport_state.emitted_packet_mask\n",
+ " ],\n",
+ " \"last_interaction_type\": transport_state.last_interaction_type[\n",
+ " transport_state.emitted_packet_mask\n",
+ " ],\n",
+ " \"last_line_interaction_in_id\": transport_state.last_line_interaction_in_id[\n",
+ " transport_state.emitted_packet_mask\n",
+ " ],\n",
+ " \"last_line_interaction_out_id\": transport_state.last_line_interaction_out_id[\n",
+ " transport_state.emitted_packet_mask\n",
+ " ],\n",
+ " \"last_line_interaction_in_nu\": transport_state.last_interaction_in_nu[\n",
+ " transport_state.emitted_packet_mask\n",
+ " ],\n",
+ " \"last_interaction_in_r\": transport_state.last_interaction_in_r[\n",
+ " transport_state.emitted_packet_mask\n",
+ " ],\n",
+ " }\n",
+ ")\n",
+ "\n",
+ "# Filter packets that experienced line interactions\n",
+ "line_mask = (packets_df[\"last_interaction_type\"] > -1) & (\n",
+ " packets_df[\"last_line_interaction_in_id\"] > -1\n",
+ ")\n",
+ "packets_df_line_interaction = packets_df.loc[line_mask].copy()\n",
+ "\n",
+ "# Add columns for atomic number and species ID of the last interaction\n",
+ "lines_df = simulation.plasma.atomic_data.lines.reset_index().set_index(\"line_id\")\n",
+ "packets_df_line_interaction[\"last_line_interaction_atom\"] = (\n",
+ " lines_df[\"atomic_number\"]\n",
+ " .iloc[packets_df_line_interaction[\"last_line_interaction_out_id\"]]\n",
+ " .to_numpy()\n",
+ ")\n",
+ "packets_df_line_interaction[\"last_line_interaction_species\"] = (\n",
+ " lines_df[\"atomic_number\"]\n",
+ " .iloc[packets_df_line_interaction[\"last_line_interaction_out_id\"]]\n",
+ " .to_numpy()\n",
+ " * 100\n",
+ " + lines_df[\"ion_number\"]\n",
+ " .iloc[packets_df_line_interaction[\"last_line_interaction_out_id\"]]\n",
+ " .to_numpy()\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Data Calculation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[800, 801, 802, 803, 804, 805, 806, 807]\n",
+ "[1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211]\n",
+ "[1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413]\n",
+ "[1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615]\n",
+ "[1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817]\n",
+ "[2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019]\n"
+ ]
+ }
+ ],
+ "source": [
+ "from tardis.util.base import (\n",
+ " element_symbol2atomic_number,\n",
+ " roman_to_int,\n",
+ " species_string_to_tuple,\n",
+ ")\n",
+ "\n",
+ "species_in_model = np.unique(packets_df_line_interaction[\"last_line_interaction_species\"]\n",
+ " .values\n",
+ " )\n",
+ "species_list = [\n",
+ " f\"{atomic_number2element_symbol(specie // 100)}\"\n",
+ " for specie in species_in_model\n",
+ " ]\n",
+ "full_species_list = []\n",
+ "for spec in species_list:\n",
+ " # check if a hyphen is present. If it is, then it indicates a\n",
+ " # range of ions. Add each ion in that range to the list as a new entry\n",
+ " if \"-\" in spec:\n",
+ " # split the string on spaces. First thing in the list is then the element\n",
+ " element = spec.split(\" \")[0]\n",
+ " # Next thing is the ion range\n",
+ " # convert the requested ions into numerals\n",
+ " first_ion_numeral = roman_to_int(\n",
+ " spec.split(\" \")[-1].split(\"-\")[0]\n",
+ " )\n",
+ " second_ion_numeral = roman_to_int(\n",
+ " spec.split(\" \")[-1].split(\"-\")[-1]\n",
+ " )\n",
+ " # add each ion between the two requested into the species list\n",
+ " for ion_number in np.arange(\n",
+ " first_ion_numeral, second_ion_numeral + 1\n",
+ " ):\n",
+ " full_species_list.append(\n",
+ " f\"{element} {int_to_roman(ion_number)}\"\n",
+ " )\n",
+ " else:\n",
+ " # Otherwise it's either an element or ion so just add to the list\n",
+ " full_species_list.append(spec)\n",
+ "species_mapped = {}\n",
+ "requested_species_ids = []\n",
+ "for spec_id in full_species_list:\n",
+ " if \" \" in spec_id:\n",
+ " species_id = (\n",
+ " species_string_to_tuple(spec_id)[0] * 100\n",
+ " + species_string_to_tuple(spec_id)[1]\n",
+ " )\n",
+ " requested_species_ids.append([species_id])\n",
+ " species_mapped[species_id] = [species_id]\n",
+ " else:\n",
+ " atomic_number = element_symbol2atomic_number(spec_id)\n",
+ " species_ids = [\n",
+ " atomic_number * 100 + ion_number\n",
+ " for ion_number in np.arange(atomic_number)\n",
+ " ]\n",
+ " requested_species_ids.append(species_ids)\n",
+ " species_mapped[atomic_number * 100] = species_ids\n",
+ "requested_species_ids = [\n",
+ " species_id\n",
+ " for temp_list in requested_species_ids\n",
+ " for species_id in temp_list\n",
+ " ]\n",
+ "\n",
+ "species_list = requested_species_ids\n",
+ "\n",
+ "msk = np.isin(species_list, species_in_model)\n",
+ "species = np.array(species_list)[msk]\n",
+ "species_name = []\n",
+ "for species_key, species_ids in species_mapped.items():\n",
+ " if any(s_id in species for s_id in species_ids):\n",
+ " print(species_ids)\n",
+ " if species_key % 100 == 0:\n",
+ " label = atomic_number2element_symbol(species_key // 100)\n",
+ " else:\n",
+ " atomic_number = species_key // 100\n",
+ " ion_number = species_key % 100\n",
+ " ion_numeral = int_to_roman(ion_number + 1)\n",
+ " label = f\"{atomic_number2element_symbol(atomic_number)} {ion_numeral}\"\n",
+ " species_name.append(label)\n",
+ "\n",
+ "cmap = plt.get_cmap(\"jet\", len(species_name))\n",
+ "color_list = []\n",
+ "species_keys = list(species_mapped.keys())\n",
+ "num_species = len(species_keys)\n",
+ "\n",
+ "for species_counter, species_key in enumerate(species_keys):\n",
+ " if any(\n",
+ " spe_id in species\n",
+ " for spe_id in species_mapped[species_key]\n",
+ " ):\n",
+ " color = cmap(species_counter / num_species)\n",
+ " color_list.append(color)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Filter packets based on wavelength range (optional)\n",
+ "packet_wvl_range = None # Set to None to include all packets\n",
+ "packet_nu_line_range_mask = np.ones(packets_df_line_interaction.shape[0], dtype=bool)\n",
+ "groups = (packets_df_line_interaction.loc[packet_nu_line_range_mask]\n",
+ " .groupby(by=\"last_line_interaction_species\")\n",
+ ")\n",
+ "plot_colors = []\n",
+ "plot_data = []\n",
+ "species_not_wvl_range = []\n",
+ "\n",
+ "for specie_list in species_mapped.values():\n",
+ " full_v_last = []\n",
+ " for specie in specie_list:\n",
+ " if specie in species:\n",
+ " if specie not in groups.groups:\n",
+ " atomic_number = specie // 100\n",
+ " ion_number = specie % 100\n",
+ " ion_numeral = int_to_roman(ion_number + 1)\n",
+ " label = f\"{atomic_number2element_symbol(atomic_number)} {ion_numeral}\"\n",
+ " species_not_wvl_range.append(label)\n",
+ " continue\n",
+ " g_df = groups.get_group(specie)\n",
+ " r_last_interaction = (\n",
+ " g_df[\"last_interaction_in_r\"].values * u.cm\n",
+ " )\n",
+ " v_last_interaction = (\n",
+ " r_last_interaction / time_explosion\n",
+ " ).to(\"km/s\")\n",
+ " full_v_last.extend(v_last_interaction)\n",
+ " if full_v_last:\n",
+ " plot_data.append(full_v_last)\n",
+ " species_idx = species_keys.index(species_key)\n",
+ " plot_colors.append(cmap(species_idx / num_species))\n",
+ "# Group packets by last interaction species\n",
+ "groups = packets_df_line_interaction.loc[packet_nu_line_range_mask].groupby(\n",
+ " by=\"last_line_interaction_species\"\n",
+ ")\n",
+ "\n",
+ "# Calculate last interaction velocities\n",
+ "plot_data = []\n",
+ "species_names = []\n",
+ "for species_id, group_df in groups:\n",
+ " r_last_interaction = group_df[\"last_interaction_in_r\"].values * u.cm\n",
+ " v_last_interaction = (r_last_interaction / time_explosion).to(\"km/s\")\n",
+ " plot_data.append(v_last_interaction)\n",
+ "\n",
+ " # Convert species ID to element symbol and ion number\n",
+ " atomic_number = species_id // 100\n",
+ " ion_number = species_id % 100\n",
+ " ion_numeral = int_to_roman(ion_number + 1)\n",
+ " species_name = f\"{atomic_number2element_symbol(atomic_number)} {ion_numeral}\"\n",
+ " species_names.append(species_name)\n",
+ "\n",
+ "bin_edges = (velocity).to(\"km/s\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Plotting"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Matplotlib"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Create the plot\n",
+ "fig, ax = plt.subplots(figsize=(11, 5))\n",
+ "\n",
+ "\n",
+ "# Plot the data for each species\n",
+ "for data, color, name in zip(\n",
+ " plot_data, plot_colors, species_name\n",
+ " ):\n",
+ " hist, _ = np.histogram(data, bins=bin_edges)\n",
+ " step_x = np.repeat(bin_edges, 2)[1:-1]\n",
+ " step_y = np.repeat(hist, 2)\n",
+ " ax.plot(\n",
+ " step_x,\n",
+ " step_y,\n",
+ " label=name,\n",
+ " color=color,\n",
+ " linewidth=2.5,\n",
+ " drawstyle=\"steps-post\",\n",
+ " alpha=0.75,\n",
+ " )\n",
+ "\n",
+ "# Add labels and legend\n",
+ "ax.ticklabel_format(axis=\"y\", scilimits=(0, 0))\n",
+ "ax.tick_params(\"both\", labelsize=15)\n",
+ "ax.set_xlabel(\"Last Interaction Velocity (km/s)\", fontsize=14)\n",
+ "ax.set_ylabel(\"Packet Count\", fontsize=15)\n",
+ "ax.legend(fontsize=15, bbox_to_anchor=(1.0, 1.0), loc=\"upper left\")\n",
+ "ax.figure.tight_layout()\n",
+ "\n",
+ "# Show the plot\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Plotly"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.plotly.v1+json": {
+ "config": {
+ "plotlyServerURL": "https://plot.ly"
+ },
+ "data": [
+ {
+ "line": {
+ "shape": "hv",
+ "width": 2.5
+ },
+ "mode": "lines",
+ "name": "O I",
+ "opacity": 0.75,
+ "type": "scatter",
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+ "x": 0.05
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+ "xaxis": {
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+ }
+ }
+ },
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+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
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+ ],
+ "source": [
+ "import plotly.graph_objects as go\n",
+ "\n",
+ "# Create the plot\n",
+ "fig = go.Figure()\n",
+ "\n",
+ "# Plot the data for each species\n",
+ "for species_data, species_name in zip(plot_data, species_names):\n",
+ " hist, bin_edges = np.histogram(species_data, bins=velocity.to(\"km/s\"))\n",
+ " step_x = np.repeat(bin_edges, 2)[1:-1]\n",
+ " step_y = np.repeat(hist, 2)\n",
+ " fig.add_trace(\n",
+ " go.Scatter(\n",
+ " x=step_x,\n",
+ " y=step_y,\n",
+ " mode=\"lines\",\n",
+ " line=dict(shape=\"hv\", width=2.5),\n",
+ " name=species_name,\n",
+ " opacity=0.75,\n",
+ " )\n",
+ " )\n",
+ "\n",
+ "# Add labels and layout\n",
+ "fig.update_layout(\n",
+ " height=600,\n",
+ " xaxis_title=\"Last Interaction Velocity (km/s)\",\n",
+ " yaxis_title=\"Packet Count\",\n",
+ " font=dict(size=15),\n",
+ " yaxis=dict(exponentformat=\"e\"),\n",
+ ")\n",
+ "\n",
+ "# Show the plot\n",
+ "fig.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
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+ "language": "python",
+ "name": "python3"
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+ "language_info": {
+ "codemirror_mode": {
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+ "pygments_lexer": "ipython3",
+ "version": "3.12.4"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/docs/analysing_tardis_outputs/spectrum/index.rst b/docs/analysing_tardis_outputs/spectrum/index.rst
new file mode 100644
index 00000000000..6ddc20b9941
--- /dev/null
+++ b/docs/analysing_tardis_outputs/spectrum/index.rst
@@ -0,0 +1,10 @@
+.. _spectrum:
+
+Analyzing TARDIS Spectra
+========================
+.. toctree::
+ :maxdepth: 2
+
+ spectrum-visualization-notebook
+ sdec_notebook
+
diff --git a/docs/analysing_tardis_outputs/spectrum/sdec_notebook.ipynb b/docs/analysing_tardis_outputs/spectrum/sdec_notebook.ipynb
new file mode 100644
index 00000000000..0f3d5639014
--- /dev/null
+++ b/docs/analysing_tardis_outputs/spectrum/sdec_notebook.ipynb
@@ -0,0 +1,303731 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Analysing Spectral Energy Distribution and Emission/Absorption Visualization"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "\n",
+ "**Note:** \n",
+ "\n",
+ "This notebook is only a sample demonstrating some of the features of the `sdecplotter` class. If you are interested in using additional features, you should directly access the [sdecplotter](https://github.com/tardis-sn/tardis/blob/master/tardis/visualization/tools/sdec_plot.py#L419) class. You can see the rest of the features of the sdecplotter class [here](docs/analysing_tardis_outputs/visualization/how_to_sdec_plot.ipynb).\n",
+ "
"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "A notebook for analyzing and visualizing the spectral energy distribution, emission and absorption patterns in supernova simulations using TARDIS."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2021-10-01T11:54:24.525446Z",
+ "start_time": "2021-10-01T11:54:24.522894Z"
+ },
+ "nbsphinx": "hidden"
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/home/abhinav/workspace/code/tardis-main/tardis-code/tardis/tardis/__init__.py:20: UserWarning: Astropy is already imported externally. Astropy should be imported after TARDIS.\n",
+ " warnings.warn(\n"
+ ]
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "204d51433b9f4c1dbe66afc9bbf45ad8",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "Iterations: 0/? [00:00, ?it/s]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "0a02ea0c2e8b4ef18ec630f11a00eb3c",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "Packets: 0/? [00:00, ?it/s]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/html": [
+ " \n",
+ " "
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/html": [
+ ""
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "from astropy import units as u\n",
+ "\n",
+ "from tardis.util.base import atomic_number2element_symbol\n",
+ "from tardis.visualization import plot_util as pu\n",
+ "from tardis.visualization.sdec.util import (\n",
+ " calculate_absorption_luminosities,\n",
+ " calculate_emission_luminosities,\n",
+ ")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Every simulation run requires [atomic data](io/configuration/components/atomic/atomic_data.rst) and a [configuration file](io/configuration/index.rst). \n",
+ "\n",
+ "## Atomic Data\n",
+ "\n",
+ "We recommend using the [kurucz_cd23_chianti_H_He.h5](https://github.com/tardis-sn/tardis-regression-data/raw/main/atom_data/kurucz_cd23_chianti_H_He.h5) dataset."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Atomic Data kurucz_cd23_chianti_H_He already exists in /home/abhinav/Downloads/tardis-data/kurucz_cd23_chianti_H_He.h5. Will not download - override with force_download=True.\n"
+ ]
+ }
+ ],
+ "source": [
+ "from tardis.io.atom_data import download_atom_data\n",
+ "\n",
+ "# We download the atomic data needed to run the simulation\n",
+ "download_atom_data('kurucz_cd23_chianti_H_He')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example Configuration File"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "!wget -q -nc https://raw.githubusercontent.com/tardis-sn/tardis/master/docs/tardis_example.yml"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "# Example YAML configuration for TARDIS\n",
+ "tardis_config_version: v1.0\n",
+ "\n",
+ "supernova:\n",
+ " luminosity_requested: 9.44 log_lsun\n",
+ " time_explosion: 13 day\n",
+ "\n",
+ "atom_data: kurucz_cd23_chianti_H_He.h5\n",
+ "\n",
+ "model:\n",
+ " structure:\n",
+ " type: specific\n",
+ " velocity:\n",
+ " start: 1.1e4 km/s\n",
+ " stop: 20000 km/s\n",
+ " num: 20\n",
+ " density:\n",
+ " type: branch85_w7\n",
+ "\n",
+ " abundances:\n",
+ " type: uniform\n",
+ " O: 0.19\n",
+ " Mg: 0.03\n",
+ " Si: 0.52\n",
+ " S: 0.19\n",
+ " Ar: 0.04\n",
+ " Ca: 0.03\n",
+ "\n",
+ "plasma:\n",
+ " disable_electron_scattering: no\n",
+ " ionization: lte\n",
+ " excitation: lte\n",
+ " radiative_rates_type: dilute-blackbody\n",
+ " line_interaction_type: macroatom\n",
+ "\n",
+ "montecarlo:\n",
+ " seed: 23111963\n",
+ " no_of_packets: 4.0e+4\n",
+ " iterations: 20\n",
+ " nthreads: 1\n",
+ "\n",
+ " last_no_of_packets: 1.e+5\n",
+ " no_of_virtual_packets: 10\n",
+ "\n",
+ " convergence_strategy:\n",
+ " type: damped\n",
+ " damping_constant: 1.0\n",
+ " threshold: 0.05\n",
+ " fraction: 0.8\n",
+ " hold_iterations: 3\n",
+ " t_inner:\n",
+ " damping_constant: 0.5\n",
+ "\n",
+ "spectrum:\n",
+ " start: 500 angstrom\n",
+ " stop: 20000 angstrom\n",
+ " num: 10000\n"
+ ]
+ }
+ ],
+ "source": [
+ "!cat tardis_example.yml"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Loading Data"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Running simulation\n",
+ "\n",
+ "To run the simulation, import the `run_tardis` function and create the `sim` object."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "\n",
+ "**Note:**\n",
+ "\n",
+ "Get more information about the [progress bars](io/output/progress_bars.rst), [logging configuration](io/optional/tutorial_logging_configuration.ipynb), and [convergence plots](io/visualization/tutorial_convergence_plot.ipynb).\n",
+ "\n",
+ "
\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "ExecuteTime": {
+ "end_time": "2021-10-01T11:55:28.560853Z",
+ "start_time": "2021-10-01T11:54:24.527697Z"
+ },
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mtardis.io.model.parse_atom_data\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tReading Atomic Data from kurucz_cd23_chianti_H_He.h5 (\u001b[1mparse_atom_data.py\u001b[0m:40)\n",
+ "[\u001b[1mtardis.io.atom_data.util\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tAtom Data kurucz_cd23_chianti_H_He.h5 not found in local path.\n",
+ "\tExists in TARDIS Data repo /home/abhinav/Downloads/tardis-data/kurucz_cd23_chianti_H_He.h5 (\u001b[1mutil.py\u001b[0m:34)\n",
+ "[\u001b[1mtardis.io.atom_data.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tReading Atom Data with: UUID = 6f7b09e887a311e7a06b246e96350010 MD5 = 864f1753714343c41f99cb065710cace (\u001b[1mbase.py\u001b[0m:258)\n",
+ "[\u001b[1mtardis.io.atom_data.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tNon provided Atomic Data: synpp_refs, photoionization_data, yg_data, two_photon_data, linelist_atoms, linelist_molecules (\u001b[1mbase.py\u001b[0m:262)\n",
+ "[\u001b[1mtardis.io.model.parse_density_configuration\u001b[0m][\u001b[1;33mWARNING\u001b[0m] \n",
+ "\tNumber of density points larger than number of shells. Assuming inner point irrelevant (\u001b[1mparse_density_configuration.py\u001b[0m:114)\n",
+ "[\u001b[1mtardis.model.matter.decay\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tDecaying abundances for 1123200.0 seconds (\u001b[1mdecay.py\u001b[0m:101)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 1 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mpy.warnings \u001b[0m][\u001b[1;33mWARNING\u001b[0m] \n",
+ "\t/home/abhinav/workspace/code/tardis-main/tardis-code/tardis/tardis/transport/montecarlo/montecarlo_main_loop.py:123: NumbaTypeSafetyWarning:\n",
+ "\n",
+ "\u001b[1m\u001b[1m\u001b[1munsafe cast from uint64 to int64. Precision may be lost.\u001b[0m\u001b[0m\u001b[0m\n",
+ "\n",
+ " (\u001b[1mwarnings.py\u001b[0m:112)\n"
+ ]
+ },
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+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 7.942e+42 erg / s\n",
+ "\tLuminosity absorbed = 2.659e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
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+ "\t\n",
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+ "\tExpected t_inner for next iteration = 10703.212 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n"
+ ]
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 2 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tLuminosity requested = 1.059e+43 erg / s\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10703.212 K\n",
+ "\tExpected t_inner for next iteration = 10673.712 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 3 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10673.712 K\n",
+ "\tExpected t_inner for next iteration = 10635.953 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 4 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10635.953 K\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 5 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10638.407 K\n",
+ "\tExpected t_inner for next iteration = 10650.202 K\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 6 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.061e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.398e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 4/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10650.202 K\n",
+ "\tExpected t_inner for next iteration = 10645.955 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 7 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.061e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.382e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 5/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10645.955 K\n",
+ "\tExpected t_inner for next iteration = 10642.050 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 8 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.062e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.350e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 6/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10642.050 K\n",
+ "\tExpected t_inner for next iteration = 10636.106 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 9 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tLuminosity absorbed = 3.411e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 7/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10636.106 K\n",
+ "\tExpected t_inner for next iteration = 10654.313 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 10 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.070e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.335e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 8/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10654.313 K\n",
+ "\tExpected t_inner for next iteration = 10628.190 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 11 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.053e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.363e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 9/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10628.190 K\n",
+ "\tExpected t_inner for next iteration = 10644.054 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 12 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.056e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.420e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 10/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10644.054 K\n",
+ "\tExpected t_inner for next iteration = 10653.543 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 13 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.062e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.406e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 11/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10653.543 K\n",
+ "\tExpected t_inner for next iteration = 10647.277 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 14 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.063e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.369e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 12/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10647.277 K\n",
+ "\tExpected t_inner for next iteration = 10638.875 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 15 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.053e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.417e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 13/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10638.875 K\n",
+ "\tExpected t_inner for next iteration = 10655.125 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 16 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.059e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.445e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 14/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10655.125 K\n",
+ "\tExpected t_inner for next iteration = 10655.561 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 17 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.067e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.372e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 15/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10655.561 K\n",
+ "\tExpected t_inner for next iteration = 10636.536 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 18 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.057e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.365e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 16/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
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+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10636.536 K\n",
+ "\tExpected t_inner for next iteration = 10641.692 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 19 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.056e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.405e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 17/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
+ {
+ "data": {
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10641.692 K\n",
+ "\tExpected t_inner for next iteration = 10650.463 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tSimulation finished in 19 iterations \n",
+ "\tSimulation took 57.03 s\n",
+ " (\u001b[1mbase.py\u001b[0m:542)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 20 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.061e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.401e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ " \n",
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+ "text/html": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from tardis import run_tardis\n",
+ "\n",
+ "simulation = run_tardis(\n",
+ " \"tardis_example.yml\",\n",
+ " virtual_packet_logging=True,\n",
+ " show_convergence_plots=True,\n",
+ " export_convergence_plots=True,\n",
+ " log_level=\"INFO\",\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### HDF"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# import astropy.units as u\n",
+ "# import pandas as pd\n",
+ "\n",
+ "# hdf_fpath = \"add_file_path_here\"\n",
+ "# with pd.HDFStore(hdf_fpath, \"r\") as hdf:\n",
+ "# sim = u.Quantity(hdf[\"/simulation\"])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Data Processing"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This section demonstrates how to analyze the spectral decomposition (SDEC) output from TARDIS. SDEC helps understand how different atomic species contribute to the formation of spectral features through their emission and absorption processes. This analysis is crucial for interpreting the physical processes occurring in the supernova ejecta.\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Wavelength and Frequency Grid Setup"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Set up the wavelength and frequency grids for analysis and plotting"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Get frequency bins from the simulation's real packets spectrum\n",
+ "plot_frequency_bins = (\n",
+ " simulation.spectrum_solver.spectrum_real_packets._frequency\n",
+ ")\n",
+ "\n",
+ "# Get wavelength array from the simulation's real packets spectrum \n",
+ "plot_wavelength = simulation.spectrum_solver.spectrum_real_packets.wavelength\n",
+ "\n",
+ "# Create frequency array by excluding the last bin edge\n",
+ "plot_frequency = plot_frequency_bins[:-1]\n",
+ "\n",
+ "# Create a boolean mask array of ones with same size as wavelength array\n",
+ "# This will be used to filter wavelength ranges later\n",
+ "packet_wvl_range_mask = np.ones(plot_wavelength.size, dtype=bool)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Luminosity Calculations"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Then we calculate emission and absorption luminosities for each atomic species to understand their contributions to the spectrum\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Calculate emission luminosities for each species\n",
+ "# Returns a DataFrame with species-wise emission contributions and list of species\n",
+ "(emission_luminosities_df, emission_species) = calculate_emission_luminosities(\n",
+ " simulation,\n",
+ " \"real\", # Use real packets mode\n",
+ " packet_wvl_range=None, # Use full wavelength range\n",
+ ")\n",
+ "\n",
+ "# Calculate absorption luminosities for each species\n",
+ "# Returns a DataFrame with species-wise absorption contributions and list of species\n",
+ "(\n",
+ " absorption_luminosities_df,\n",
+ " absorption_species,\n",
+ ") = calculate_absorption_luminosities(\n",
+ " simulation,\n",
+ " packets_mode=\"real\", # Use real packets mode\n",
+ " packet_wvl_range=None, # Use full wavelength range\n",
+ ")\n",
+ "\n",
+ "# Calculate total luminosities by adding absorption and emission\n",
+ "# Drop 'no interaction' and 'electron scattering' columns from emission before adding\n",
+ "total_luminosities_df = (\n",
+ " absorption_luminosities_df\n",
+ " + emission_luminosities_df.drop([\"noint\", \"escatter\"], axis=1)\n",
+ ")\n",
+ "\n",
+ "# Convert atomic numbers to element symbols for plotting\n",
+ "species = np.array(list(total_luminosities_df.keys()))\n",
+ "species_name = [\n",
+ " atomic_number2element_symbol(atomic_num)\n",
+ " for atomic_num in species\n",
+ "]\n",
+ "species_length = len(species_name)\n",
+ "\n",
+ "# Get the modeled spectrum luminosity for the selected wavelength range\n",
+ "modeled_spectrum_luminosity = (\n",
+ " simulation.spectrum_solver.spectrum_real_packets.luminosity_density_lambda[\n",
+ " packet_wvl_range_mask\n",
+ " ]\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Visualisation"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Matplotlib"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Import required matplotlib modules for visualization\n",
+ "import matplotlib.cm as cm # For colormaps\n",
+ "import matplotlib.colors as clr # For color mapping and normalization\n",
+ "import matplotlib.pyplot as plt # Main plotting interface\n",
+ "\n",
+ "# Create figure and axis\n",
+ "ax = plt.figure(figsize=(12, 7)).add_subplot(111)\n",
+ "\n",
+ "# Generate colors for each species using 'jet' colormap\n",
+ "# The colors will be evenly distributed across the colormap based on number of species\n",
+ "cmap = plt.get_cmap(\"jet\", species_length)\n",
+ "color_list = []\n",
+ "color_values = []\n",
+ "for species_counter in range(species_length):\n",
+ " # Calculate normalized color value and store in both lists\n",
+ " color = cmap(species_counter / species_length)\n",
+ " color_list.append(color)\n",
+ " color_values.append(color)\n",
+ "\n",
+ "\n",
+ "# Create a custom colormap for species\n",
+ "# This will be used in the colorbar to show which color corresponds to which species\n",
+ "custcmap = clr.ListedColormap(color_values) # Normalize color range\n",
+ "norm = clr.Normalize(vmin=0, vmax=species_length)\n",
+ "mappable = cm.ScalarMappable(norm=norm, cmap=custcmap)\n",
+ "mappable.set_array(np.linspace(1, species_length + 1, 256))\n",
+ "\n",
+ "\n",
+ "# Add colorbar for species representation\n",
+ "cbar = plt.colorbar(mappable, ax=ax)\n",
+ "bounds = np.arange(species_length) + 0.5\n",
+ "cbar.set_ticks(bounds)\n",
+ "cbar.set_ticklabels(species_name) # Label ticks with species names\n",
+ "\n",
+ "# Plot the emission contributions starting with 'no interaction' packets\n",
+ "lower_level = np.zeros(emission_luminosities_df.shape[0]) # Start at zero\n",
+ "upper_level = lower_level + emission_luminosities_df.noint.to_numpy()\n",
+ "ax.fill_between(\n",
+ " plot_wavelength.value,\n",
+ " lower_level,\n",
+ " upper_level,\n",
+ " color=\"#4C4C4C\", # Dark grey color\n",
+ " label=\"No interaction\",\n",
+ ")\n",
+ "\n",
+ "# Plot electron scattering contribution\n",
+ "# This is stacked on top of the 'no interaction' contribution\n",
+ "lower_level = upper_level # Start where 'no interaction' ended\n",
+ "upper_level = lower_level + emission_luminosities_df.escatter.to_numpy()\n",
+ "ax.fill_between(\n",
+ " plot_wavelength.value,\n",
+ " lower_level,\n",
+ " upper_level,\n",
+ " color=\"#8F8F8F\",\n",
+ " label=\"Electron Scatter Only\",\n",
+ ")\n",
+ "\n",
+ "# Plot the emission contributions for each species by stacking them on top of each other.\n",
+ "# The lower level for each species starts where the previous species ended (upper_level),\n",
+ "# and the upper level adds that species' emission contribution.\n",
+ "# Each species gets a unique color from the colormap defined above.\n",
+ "for species_counter, identifier in enumerate(species):\n",
+ " lower_level = upper_level\n",
+ " upper_level = lower_level + emission_luminosities_df[identifier].to_numpy()\n",
+ "\n",
+ " ax.fill_between(\n",
+ " plot_wavelength.value,\n",
+ " lower_level,\n",
+ " upper_level,\n",
+ " color=color_list[species_counter],\n",
+ " cmap=cmap,\n",
+ " linewidth=0,\n",
+ " )\n",
+ "\n",
+ "\n",
+ "# The absorption contributions are plotted below zero, showing how each species\n",
+ "# absorbs light and reduces the total luminosity. The contributions are stacked\n",
+ "# downward from zero, with each species getting the same color as its emission above.\n",
+ "lower_level = np.zeros(absorption_luminosities_df.shape[0])\n",
+ "for species_counter, identifier in enumerate(species):\n",
+ " upper_level = lower_level\n",
+ " lower_level = (\n",
+ " upper_level - absorption_luminosities_df[identifier].to_numpy()\n",
+ " )\n",
+ "\n",
+ " ax.fill_between(\n",
+ " plot_wavelength.value,\n",
+ " upper_level,\n",
+ " lower_level,\n",
+ " color=color_list[species_counter],\n",
+ " cmap=cmap,\n",
+ " linewidth=0,\n",
+ " )\n",
+ "\n",
+ "\n",
+ "# Plot the modeled spectrum\n",
+ "ax.plot(\n",
+ " plot_wavelength.value,\n",
+ " modeled_spectrum_luminosity.value,\n",
+ " \"--b\",\n",
+ " label=\"Real Spectrum\",\n",
+ " linewidth=1,\n",
+ ")\n",
+ "\n",
+ "# Add labels, legend, and formatting\n",
+ "ax.legend(fontsize=12)\n",
+ "ax.set_xlabel(r\"Wavelength $[\\mathrm{\\AA}]$\", fontsize=12)\n",
+ "ax.set_ylabel(\n",
+ " r\"$L_{\\lambda}$ [erg $\\mathrm{s^{-1}}$ $\\mathrm{\\AA^{-1}}$]\",\n",
+ " fontsize=12,\n",
+ ")\n",
+ "plt.gca()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Plotly"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.plotly.v1+json": {
+ "config": {
+ "plotlyServerURL": "https://plot.ly"
+ },
+ "data": [
+ {
+ "fillcolor": "#4C4C4C",
+ "hovertemplate": "(%{x:.2f}, %{y:.3g})",
+ "mode": "none",
+ "name": "No interaction",
+ "stackgroup": "emission",
+ "type": "scatter",
+ "x": [
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+ "source": [
+ "import plotly.graph_objects as go\n",
+ "\n",
+ "# Create figure\n",
+ "fig = go.Figure()\n",
+ "\n",
+ "# By specifying a common stackgroup, plotly will itself add up luminosities,\n",
+ "# in order, to created stacked area chart\n",
+ "fig.add_trace(\n",
+ " go.Scatter(\n",
+ " x=emission_luminosities_df.index,\n",
+ " y=emission_luminosities_df.noint,\n",
+ " mode=\"none\",\n",
+ " name=\"No interaction\",\n",
+ " fillcolor=\"#4C4C4C\",\n",
+ " stackgroup=\"emission\",\n",
+ " hovertemplate=\"(%{x:.2f}, %{y:.3g})\",\n",
+ " )\n",
+ ")\n",
+ "\n",
+ "fig.add_trace(\n",
+ " go.Scatter(\n",
+ " x=emission_luminosities_df.index,\n",
+ " y=emission_luminosities_df.escatter,\n",
+ " mode=\"none\",\n",
+ " name=\"Electron Scatter Only\",\n",
+ " fillcolor=\"#8F8F8F\",\n",
+ " stackgroup=\"emission\",\n",
+ " hoverlabel={\"namelength\": -1},\n",
+ " hovertemplate=\"(%{x:.2f}, %{y:.3g})\",\n",
+ " )\n",
+ ")\n",
+ "\n",
+ "# The species data comes from the emission_luminosities_df and absorption_luminosities_df DataFrames\n",
+ "# We plot emissions as positive values stacked above zero\n",
+ "# And absorptions as negative values stacked below zero\n",
+ "# This creates a visualization showing how different species contribute to the spectrum\n",
+ "for (species_counter, identifier), name_of_spec in zip(\n",
+ " enumerate(species), species_name\n",
+ "):\n",
+ " fig.add_trace(\n",
+ " go.Scatter(\n",
+ " x=emission_luminosities_df.index,\n",
+ " y=emission_luminosities_df[identifier],\n",
+ " mode=\"none\",\n",
+ " name=name_of_spec + \" Emission\",\n",
+ " hovertemplate=f\"{name_of_spec:s} Emission \" # noqa: ISC003\n",
+ " + \"(%{x:.2f}, %{y:.3g}) \",\n",
+ " fillcolor=pu.to_rgb255_string(color_list[species_counter]),\n",
+ " stackgroup=\"emission\",\n",
+ " showlegend=False,\n",
+ " hoverlabel={\"namelength\": -1},\n",
+ " )\n",
+ " )\n",
+ " # Plot absorption part\n",
+ " fig.add_trace(\n",
+ " go.Scatter(\n",
+ " x=absorption_luminosities_df.index,\n",
+ " # to plot absorption luminosities along negative y-axis\n",
+ " y=absorption_luminosities_df[identifier] * -1,\n",
+ " mode=\"none\",\n",
+ " name=name_of_spec + \" Absorption\",\n",
+ " hovertemplate=f\"{name_of_spec:s} Absorption \" # noqa: ISC003\n",
+ " + \"(%{x:.2f}, %{y:.3g}) \",\n",
+ " fillcolor=pu.to_rgb255_string(color_list[species_counter]),\n",
+ " stackgroup=\"absorption\",\n",
+ " showlegend=False,\n",
+ " hoverlabel={\"namelength\": -1},\n",
+ " )\n",
+ " )\n",
+ "\n",
+ "# Plot modeled spectrum\n",
+ "fig.add_trace(\n",
+ " go.Scatter(\n",
+ " x=plot_wavelength.value,\n",
+ " y=modeled_spectrum_luminosity.value,\n",
+ " mode=\"lines\",\n",
+ " line={\n",
+ " \"color\": \"blue\",\n",
+ " \"width\": 1,\n",
+ " },\n",
+ " name=\"Real Spectrum\",\n",
+ " hovertemplate=\"(%{x:.2f}, %{y:.3g})\",\n",
+ " hoverlabel={\"namelength\": -1},\n",
+ " )\n",
+ ")\n",
+ "\n",
+ "# Interpolate [0, 1] range to create bins equal to number of elements\n",
+ "colorscale_bins = np.linspace(0, 1, num=len(species_name) + 1)\n",
+ "\n",
+ "# Create a categorical colorscale [a list of (reference point, color)]\n",
+ "# by mapping same reference points (excluding 1st and last bin edge)\n",
+ "# twice in a row (https://plotly.com/python/colorscales/#constructing-a-discrete-or-discontinuous-color-scale)\n",
+ "categorical_colorscale = []\n",
+ "for species_counter in range(len(species_name)):\n",
+ " color = pu.to_rgb255_string(cmap(colorscale_bins[species_counter]))\n",
+ " categorical_colorscale.append((colorscale_bins[species_counter], color))\n",
+ " categorical_colorscale.append((colorscale_bins[species_counter + 1], color))\n",
+ "\n",
+ "# Create a categorical colorscale for the elements by mapping each species to a color\n",
+ "coloraxis_options = {\n",
+ " \"colorscale\": categorical_colorscale,\n",
+ " \"showscale\": True,\n",
+ " \"cmin\": 0,\n",
+ " \"cmax\": len(species_name),\n",
+ " \"colorbar\": {\n",
+ " \"title\": \"Elements\",\n",
+ " \"tickvals\": np.arange(0, len(species_name)) + 0.5,\n",
+ " \"ticktext\": species_name,\n",
+ " # to change length and position of colorbar\n",
+ " \"len\": 0.75,\n",
+ " \"yanchor\": \"top\",\n",
+ " \"y\": 0.75,\n",
+ " },\n",
+ "}\n",
+ "\n",
+ "# Add an invisible scatter point to make the colorbar show up in the plot\n",
+ "# The point is placed at the middle of the wavelength range with y=0\n",
+ "# The marker color is set to 0 (first color in colorscale) with opacity=0 to hide it\n",
+ "# coloraxis_options contains the categorical colorscale mapping species to colors\n",
+ "scatter_point_idx = pu.get_mid_point_idx(plot_wavelength)\n",
+ "fig.add_trace(\n",
+ " go.Scatter(\n",
+ " x=[plot_wavelength[scatter_point_idx].value],\n",
+ " y=[0],\n",
+ " mode=\"markers\",\n",
+ " name=\"Colorbar\",\n",
+ " showlegend=False,\n",
+ " hoverinfo=\"skip\",\n",
+ " marker=dict(color=[0], opacity=0, **coloraxis_options),\n",
+ " )\n",
+ ")\n",
+ "\n",
+ "# Set label and other layout options\n",
+ "xlabel = pu.axis_label_in_latex(\"Wavelength\", u.AA)\n",
+ "ylabel = pu.axis_label_in_latex(\n",
+ " \"L_{\\\\lambda}\", u.Unit(\"erg/(s AA)\"), only_text=False\n",
+ ")\n",
+ "fig.update_layout(\n",
+ " xaxis={\n",
+ " \"title\": xlabel,\n",
+ " \"exponentformat\": \"none\",\n",
+ " },\n",
+ " yaxis={\"title\": ylabel, \"exponentformat\": \"e\"},\n",
+ " height=600,\n",
+ ")"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
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+ "name": "python3"
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+}
diff --git a/docs/analysing_tardis_outputs/spectrum/spectrum-visualization-notebook.ipynb b/docs/analysing_tardis_outputs/spectrum/spectrum-visualization-notebook.ipynb
new file mode 100644
index 00000000000..4763391841f
--- /dev/null
+++ b/docs/analysing_tardis_outputs/spectrum/spectrum-visualization-notebook.ipynb
@@ -0,0 +1,21255 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Analysing Spectrum"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Every simulation run requires [atomic data](io/configuration/components/atomic/atomic_data.rst) and a [configuration file](io/configuration/index.rst). \n",
+ "\n",
+ "## Atomic Data\n",
+ "\n",
+ "We recommend using the [kurucz_cd23_chianti_H_He.h5](https://github.com/tardis-sn/tardis-regression-data/raw/main/atom_data/kurucz_cd23_chianti_H_He.h5) dataset."
+ ]
+ },
+ {
+ "cell_type": "code",
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+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Atomic Data kurucz_cd23_chianti_H_He already exists in /home/abhinav/Downloads/tardis-data/kurucz_cd23_chianti_H_He.h5. Will not download - override with force_download=True.\n"
+ ]
+ }
+ ],
+ "source": [
+ "from tardis.io.atom_data import download_atom_data\n",
+ "\n",
+ "# We download the atomic data needed to run the simulation\n",
+ "download_atom_data(\"kurucz_cd23_chianti_H_He\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "You can also obtain a copy of the atomic data from the [tardis-regression-data](https://github.com/tardis-sn/tardis-regression-data/tree/main/atom_data) repository.\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example Configuration File\n",
+ "\n",
+ "The configuration file [tardis_example.yml](https://github.com/tardis-sn/tardis/tree/master/docs/tardis_example.yml) is used throughout this Quickstart.\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "!wget -q -nc https://raw.githubusercontent.com/tardis-sn/tardis/master/docs/tardis_example.yml"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "# Example YAML configuration for TARDIS\n",
+ "tardis_config_version: v1.0\n",
+ "\n",
+ "supernova:\n",
+ " luminosity_requested: 9.44 log_lsun\n",
+ " time_explosion: 13 day\n",
+ "\n",
+ "atom_data: kurucz_cd23_chianti_H_He.h5\n",
+ "\n",
+ "model:\n",
+ " structure:\n",
+ " type: specific\n",
+ " velocity:\n",
+ " start: 1.1e4 km/s\n",
+ " stop: 20000 km/s\n",
+ " num: 20\n",
+ " density:\n",
+ " type: branch85_w7\n",
+ "\n",
+ " abundances:\n",
+ " type: uniform\n",
+ " O: 0.19\n",
+ " Mg: 0.03\n",
+ " Si: 0.52\n",
+ " S: 0.19\n",
+ " Ar: 0.04\n",
+ " Ca: 0.03\n",
+ "\n",
+ "plasma:\n",
+ " disable_electron_scattering: no\n",
+ " ionization: lte\n",
+ " excitation: lte\n",
+ " radiative_rates_type: dilute-blackbody\n",
+ " line_interaction_type: macroatom\n",
+ "\n",
+ "montecarlo:\n",
+ " seed: 23111963\n",
+ " no_of_packets: 4.0e+4\n",
+ " iterations: 20\n",
+ " nthreads: 1\n",
+ "\n",
+ " last_no_of_packets: 1.e+5\n",
+ " no_of_virtual_packets: 10\n",
+ "\n",
+ " convergence_strategy:\n",
+ " type: damped\n",
+ " damping_constant: 1.0\n",
+ " threshold: 0.05\n",
+ " fraction: 0.8\n",
+ " hold_iterations: 3\n",
+ " t_inner:\n",
+ " damping_constant: 0.5\n",
+ "\n",
+ "spectrum:\n",
+ " start: 500 angstrom\n",
+ " stop: 20000 angstrom\n",
+ " num: 10000\n"
+ ]
+ }
+ ],
+ "source": [
+ "!cat tardis_example.yml"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Running the Simulation\n",
+ "\n",
+ "To run the simulation, import the `run_tardis` function and create the `sim` object."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ " \n",
+ "\n",
+ "**Note:**\n",
+ "\n",
+ "Get more information about the [progress bars](io/output/progress_bars.rst), [logging configuration](io/optional/tutorial_logging_configuration.ipynb), and [convergence plots](io/visualization/tutorial_convergence_plot.ipynb).\n",
+ "\n",
+ "
\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from tardis import run_tardis\n",
+ "\n",
+ "sim = run_tardis(\n",
+ " \"tardis_example.yml\",\n",
+ " virtual_packet_logging=True,\n",
+ " show_convergence_plots=True,\n",
+ " export_convergence_plots=True,\n",
+ " log_level=\"INFO\",\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## HDF\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# import astropy.units as u\n",
+ "# import pandas as pd\n",
+ "\n",
+ "# hdf_fpath = \"add_file_path_here\"\n",
+ "# with pd.HDFStore(hdf_fpath, \"r\") as hdf:\n",
+ "# sim = u.Quantity(hdf[\"/simulation\"])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Plotting the Spectrum\n",
+ "\n",
+ "Finally, plot the generated spectrum with `matplotlib`.\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import matplotlib.pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mpy.warnings \u001b[0m][\u001b[1;33mWARNING\u001b[0m] \n",
+ "\t/home/abhinav/workspace/code/tardis-main/tardis-code/tardis/tardis/spectrum/formal_integral.py:398: UserWarning:\n",
+ "\n",
+ "The number of interpolate_shells was not specified. The value was set to 80.\n",
+ "\n",
+ " (\u001b[1mwarnings.py\u001b[0m:112)\n"
+ ]
+ }
+ ],
+ "source": [
+ "spectrum = sim.spectrum_solver.spectrum_real_packets\n",
+ "spectrum_virtual = sim.spectrum_solver.spectrum_virtual_packets\n",
+ "spectrum_integrated = sim.spectrum_solver.spectrum_integrated"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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h/PnzNgmSI9evX8fTTz+Njh07YsOGDejfvz+GDx+Oli1bonbt2gAKbmitW1sLITB79uwiz+2Ln376yWbI1q+//gq9Xl9kQtq7d28sXrwYBoPBadv84tSlSxcsX74c165ds/n5LFiwAKGhoZbkqHPnzpg0aRKOHDliMxyw8Jpo7dq1Q3R0NE6cOOGwsYWvatasiZEjR2LTpk3YsWOHzXOZmZn4/fffbYYDLlq0CAqFAh06dADg/vvdrVs3KJVKzJw5s8i/k6CgILcajFiLj48HAPzzzz+oX7++Zbu5GQsRUWlyRyZW58+fx88//4yrV69a/uc4duxYrF27FnPnzsXHH39s2bdt27Y4ePAg8vPz8eKLL+LDDz+0PNe9e3d8//336NevH1q2bIkDBw5gzpw50Ol0SElJ8cuwBiLyzJo1a3Dt2jWbCrS1xo0b4+uvv8YPP/xQZGIFABMmTMAvv/yCcePG2S36e+zYMcuck6SkJGzbtg1z586FUqnE8uXLLZ/iO5Keno74+Hj83//9Hx5++GHUqFEDWVlZ2Lp1K7788ks0bNjQ5kOcwuLj4/Hhhx/if//7Hy5cuIBHHnkEFSpUwM2bN7F3716EhYXhgw8+gMFgwKBBgyBJEhYtWgSlUol58+ahefPmePLJJ7F9+3ZoNBp07doVGo0GgwYNwptvvom8vDzMnDkTt2/fLvrN9sFvv/0GlUqFrl274vjx4xg3bhyaNWuGJ554wukxAwcOxE8//YSePXti1KhRaN26NdRqNa5evYotW7agb9++eOyxx4ot5vfeew+rVq1C586dMX78eFSsWBE//fQTVq9ejUmTJiEqKgoA8Nprr2HOnDno1auXZdHnn376CadOnbI5X3h4OL766isMGTIEqampGDBgACpXrozk5GQcOXIEycnJmDlzptvxpaeno3PnznjqqafQoEEDREREYN++fXYfCgLGqtQrr7yChIQE1KtXD3/++Sdmz56NV155BTVr1gTg/vsdHx+Pd955BxMmTEBubi4GDRqEqKgonDhxAikpKfjggw8AAE2aNMFvv/2GmTNn4r777oNCobBZC86R+++/H/Xr18fYsWOh1+tRoUIFLF++HNu3b3f7fSEiKjGB7JxRUgCI5cuXWx7/+uuvAoAICwuz+VKpVDbdtIQwdt86fvy4WLRokahevbr47LPPLM/l5OSIYcOGCZVKJZRKpahWrZp48803BQBx8+bNknp5RHcsR10B+/XrJzQajUhKSnJ63MCBA4VKpRI3btwQQhj/jRgxYoTDfd944w0BQPz1119CiIIuZeYvjUYjKleuLDp27Cg+/vhjh9ct3BUwPz9fTJ48WfTo0UPUrFlTBAUFieDgYNGwYUPx5ptvilu3brn1+lesWCE6d+4sIiMjRVBQkKhVq5YYMGCA2LhxoxBCiP/9739CoVCITZs22Ry3c+dOoVKpxKhRoyzb/vjjD9GsWTMRHBwsqlevLt544w2xZs0ah53X7r33XrtYatWqJXr16mW3vfB7a34vDhw4IB599FERHh4uIiIixKBBg+z+3SzcFVAIYxe/yZMnW2INDw8XDRo0EC+99JI4e/Zske+Xsy6Snrymo0ePikcffVRERUUJjUYjmjVrJubOnWt37IkTJ0TXrl1FcHCwqFixohg+fLhYuXKl3fsphBB//fWX6NWrl6hYsaJQq9WievXqolevXmLJkiWWfdzpCpiXlydefvll0bRpUxEZGSlCQkJE/fr1xXvvvSeys7PtXu/WrVtFq1atRFBQkKhatap45513hE6nszmnJ+/3ggULxP3332/Zr0WLFjbvTWpqqhgwYICIjo4WkiQJ8y2IuSvg559/7vB1nTlzRnTr1k1ERkaK2NhY8eqrr4rVq1f7/XeTiMhXkhAeLp5SBkmShOXLl6Nfv34AjJN7Bw8ejOPHj9vMsQCMnyA6mnQMGNcbefHFF5GZmWlznE6nw82bN1G1alV89913eOutt5CWlub2Ip9ERHeK999/Hx988AGSk5Mtc4yoZHXq1AkpKSk4duxYoEMhIipX7sihgC1atIDBYEBSUhLat2/v9nFCCOh0Ors2yGq12tINafHixejduzeTKiIiIiKiO0i5TayysrJw7tw5y+OLFy/i8OHDqFixIurVq4fBgwfj2WefxZQpU9CiRQukpKRg8+bNaNKkCXr27ImffvoJarUaTZo0QVBQEA4cOIC3334bTz75JFQq49t25swZ7N27Fw888ABu376NL774AseOHcP8+fMD9bKJiIiIiCgAyu1QwK1bt6Jz585224cMGYJ58+ZBp9Nh4sSJWLBgARITExETE4M2bdrggw8+QJMmTfDLL79g0qRJOHPmDIQQqFWrFp5++mmMHj3a0gnw5MmTeOqpp3D69Gmo1Wp07twZn332mU3nIiIiIiIiKv/KbWJFRERERERUUjgRiIiIiIiIyEdMrIiIiIiIiHxUrppXyLKMa9euISIiApIkBTocIiIiIiIKECEEMjMzUa1atRLp2F2uEqtr166hRo0agQ6DiIiIiIhKiStXrliWRipO5SqxioiIAGB88yIjIwMcDRERERERBUpGRgZq1KhhyRGKW7lKrMzD/yIjI5lYERERERFRiU0RYvMKIiIiIiIiHzGxIiIiIiIi8hETKyIiIiIiIh+VqzlWRERERBRYsixDq9UGOgy6A6jVaiiVykCHYcHEioiIiIj8QqvV4uLFi5BlOdCh0B0iOjoacXFxpWINWyZWREREROQzIQSuX78OpVKJGjVqlMiCrHTnEkIgJycHSUlJAICqVasGOCImVkRERETkB3q9Hjk5OahWrRpCQ0MDHQ7dAUJCQgAASUlJqFy5csCHBfKjBCIiIiLymcFgAABoNJoAR0J3EnMSr9PpAhwJEysiIiIi8qPSMNeF7hyl6feNiRUREREREZGPSl1ilZiYiKeffhoxMTEIDQ1F8+bNceDAgUCHRURERERUamzduhWSJCEtLS2gccTHx2PatGkBjaG0KFWJ1e3bt9GuXTuo1WqsWbMGJ06cwJQpUxAdHR3o0IiIiIioHBo6dCgkScKnn35qs33FihWlaphZedWpUye89tprgQ7DL0pVV8DPPvsMNWrUwNy5cy3b4uPjAxcQEREREZV7wcHB+Oyzz/DSSy+hQoUKfjuvVqtlM487SKmqWP3+++9o1aoV/u///g+VK1dGixYtMHv2bKf75+fnIyMjw+aLiIiIiMgTDz/8MOLi4vDJJ58Uud+yZctw7733IigoCPHx8ZgyZYrN8/Hx8Zg4cSKGDh2KqKgovPDCC5g3bx6io6OxatUq1K9fH6GhoRgwYACys7Mxf/58xMfHo0KFCnj11VctnRUB4Mcff0SrVq0QERGBuLg4PPXUU5Y1m9wlSRJmzpyJHj16ICQkBLVr18aSJUts9nnrrbdQr149hIaGok6dOhg3bpxdhz3zPXpwcDAqVaqE/v37O73m3LlzERUVhQ0bNgAATpw4gZ49eyI8PBxVqlTBM888g5SUFADGauFff/2FL7/8EpIkQZIkXLp0Cbdv38bgwYMRGxuLkJAQ3HPPPTaFl9KqVCVWFy5cwMyZM3HPPfdg3bp1ePnll/Gf//wHCxYscLj/J598gqioKMtXjRo1SjhiIiIiInJECIEcrT4gX0IIj2JVKpX4+OOP8dVXX+Hq1asO9zlw4ACeeOIJDBw4EEePHsX777+PcePGYd68eTb7ff7552jcuDEOHDiAcePGAQBycnIwffp0LF68GGvXrsXWrVvRv39//Pnnn/jzzz+xcOFCfPfdd1i6dKnlPFqtFhMmTMCRI0ewYsUKXLx4EUOHDvXodQHAuHHj8Pjjj+PIkSN4+umnMWjQIJw8edLyfEREBObNm4cTJ07gyy+/xOzZszF16lTL86tXr0b//v3Rq1cvHDp0CJs2bUKrVq0cXmvy5MkYO3Ys1q1bh65du+L69evo2LEjmjdvjv3792Pt2rW4efMmnnjiCQDAl19+iTZt2uCFF17A9evXcf36ddSoUQPjxo3DiRMnsGbNGpw8eRIzZ85EpUqVPH7tJU0Snv7mFSONRoNWrVph586dlm3/+c9/sG/fPuzatctu//z8fOTn51seZ2RkoEaNGkhPT0dkZGSJxExEREREQF5eHi5evIjatWsjODgYOVo9Go1fF5BYTnzYHaEa92a8DB06FGlpaVixYgXatGmDRo0a4YcffsCKFSvw2GOPWZK0wYMHIzk5GevXr7cc++abb2L16tU4fvw4AGPFqkWLFli+fLlln3nz5mHYsGE4d+4c7r77bgDAyy+/jIULF+LmzZsIDw8HADzyyCOIj4/Ht99+6zDOffv2oXXr1sjMzER4eDi2bt2Kzp074/bt2077EUiShJdffhkzZ860bHvwwQfRsmVLzJgxw+Exn3/+OX755Rfs378fANC2bVvUqVMHP/74o8P94+Pj8dprr+HmzZuYP38+1q1bhyZNmgAAxo8fjz179mDduoLfg6tXr6JGjRo4ffo06tWrh06dOqF58+Y2DTD69OmDSpUqYc6cOQ6vaa3w7521jIwMREVFlVhuUKoqVlWrVkWjRo1stjVs2BAJCQkO9w8KCkJkZKTNFxERERGRNz777DPMnz8fJ06csHvu5MmTaNeunc22du3a4ezZszZD+BxVc0JDQy1JFQBUqVIF8fHxlqTKvM16qN+hQ4fQt29f1KpVCxEREejUqRMAOL0vdqZNmzZ2j60rVkuXLsVDDz2EuLg4hIeHY9y4cTbXOHz4MLp06VLkNaZMmYJZs2Zh+/btlqQKMFb5tmzZgvDwcMtXgwYNAADnz593er5XXnkFixcvRvPmzfHmm2/aFF1Ks1LVvKJdu3Y4ffq0zbYzZ86gVq1aAYqIiIiIiLwRolbixIfdA3Ztb3To0AHdu3fHO++8YzfsTghh1yXQ0cCvsLAwu21qtdrmsSRJDrfJsgwAyM7ORrdu3dCtWzf8+OOPiI2NRUJCArp37w6tVuvNS7O7FgDs3r0bAwcOxAcffIDu3bsjKioKixcvtpk7FhIS4vJ87du3x+rVq/Hrr7/iv//9r2W7LMt49NFH8dlnn9kdU7VqVafn69GjBy5fvozVq1dj48aN6NKlC0aMGIHJkyd78jJLXKlKrEaPHo22bdvi448/xhNPPIG9e/fiu+++w3fffRfo0IgCSm+QoVKWqgIzERFRkSRJcns4Xmny6aefonnz5qhXr57N9kaNGmH79u0223bu3Il69epBqfQukXPm1KlTSElJwaeffmrpIWAemuep3bt349lnn7V53KJFCwDAjh07UKtWLfzvf/+zPH/58mWb45s2bYpNmzZh2LBhTq/RunVrvPrqq+jevTuUSiXeeOMNAEDLli2xbNkyxMfHQ6Vy/Lug0WhsKn5msbGxGDp0KIYOHYr27dvjjTfeKPWJVam6U7v//vuxfPly/Pzzz2jcuDEmTJiAadOmYfDgwYEOjShgfth+EQ3GrcWBy6mBDoWIiKjca9KkCQYPHoyvvvrKZvvrr7+OTZs2YcKECThz5gzmz5+Pr7/+GmPHjvV7DDVr1oRGo8FXX32FCxcu4Pfff8eECRO8OteSJUswZ84cnDlzBu+99x727t2LkSNHAgDq1q2LhIQELF68GOfPn8f06dNt5ocBwHvvvYeff/4Z7733Hk6ePImjR49i0qRJdtdp06YN1qxZgw8//NDS/GLEiBFITU3FoEGDsHfvXly4cAHr16/Hc889Z0mm4uPjsWfPHly6dAkpKSmQZRnjx4/HypUrce7cORw/fhyrVq1Cw4YNvXr9JalUJVYA0Lt3bxw9ehR5eXk4efIkXnjhhUCHRBRQE1adgF4WeHPpP4EOhYiI6I4wYcIEu2F+LVu2xK+//orFixejcePGGD9+PD788EOvOvW5Ehsbi3nz5mHJkiVo1KgRPv30U6+rNR988AEWL16Mpk2bYv78+fjpp58sPQ369u2L0aNHY+TIkWjevDl27txp6WRo1qlTJyxZsgS///47mjdvjn/961/Ys2ePw2u1a9cOq1evxrhx4zB9+nRUq1YNO3bsgMFgQPfu3dG4cWOMGjUKUVFRUCiMacjYsWOhVCrRqFEjy5BHjUaDt99+G02bNkWHDh2gVCqxePFir15/SSpVXQF9VdKdP4hKQvx/VwMA7o4Nw6bXOwU2GCIiIieK6s5GgSFJEpYvX45+/foFOpRiw66ARERERERE5QgTKyIiIiIiIh+VvVYtRERERETkUjma8VMmsGJFRERERETkIyZWREREREREPmJiRURERERE5CMmVkRERERERD5iYkVEREREROQjJlZEREREREQ+YmJFRERERFSE999/H82bNw9oDJIkYcWKFQGNYejQoejXr19AYyjNmFgRERER0R3p0UcfxcMPP+zwuV27dkGSJBw8eBBjx47Fpk2bXJ4vPj4e06ZN83OU5UdpSFCLExMrIiIiIrojDR8+HJs3b8bly5ftnpszZw6aN2+Oli1bIjw8HDExMU7Po9VqizNMKiOYWBERERHRHal3796oXLky5s2bZ7M9JycHv/zyC4YPHw7AvtJiHhL3ySefoFq1aqhXrx46deqEy5cvY/To0ZAkCZIkOTwWAKZNm4b4+HjL43379qFr166oVKkSoqKi0LFjRxw8eNCj19KpUyeMHDkSI0eORHR0NGJiYvDuu+9CCGHZ58cff0SrVq0QERGBuLg4PPXUU0hKSrI5z/Hjx9GrVy9ERkYiIiIC7du3x/nz5x1e88CBA6hcuTI++ugjAEB6ejpefPFFVK5cGZGRkfjXv/6FI0eOAADmzZuHDz74AEeOHLG8P+b3/f3330fNmjURFBSEatWq4T//+Y9Hr720UAU6ACIiIiIqh4QAdDmBubY6FDAlNkVRqVR49tlnMW/ePIwfP96SDC1ZsgRarRaDBw92euymTZsQGRmJDRs2QAiBatWqoVmzZnjxxRfxwgsveBRuZmYmhgwZgunTpwMApkyZgp49e+Ls2bOIiIhw+zzz58/H8OHDsWfPHuzfvx8vvvgiatWqZYlHq9ViwoQJqF+/PpKSkjB69GgMHToUf/75JwAgMTERHTp0QKdOnbB582ZERkZix44d0Ov1dtfaunWrJbl85ZVXIIRAr169ULFiRfz555+IiorCrFmz0KVLF5w5cwZPPvkkjh07hrVr12Ljxo0AgKioKCxduhRTp07F4sWLce+99+LGjRuWZKysYWJFRERERP6nywE+rhaYa79zDdCEubXrc889h88//xxbt25F586dARiHAfbv3x8VKlRwelxYWBi+//57aDQayzalUmmpBnniX//6l83jWbNmoUKFCvjrr7/Qu3dvt89To0YNTJ06FZIkoX79+jh69CimTp1qSayee+45y7516tTB9OnT0bp1a2RlZSE8PBzffPMNoqKisHjxYqjVagBAvXr17K6zcuVKPPPMM5g1axYGDRoEANiyZQuOHj2KpKQkBAUFAQAmT56MFStWYOnSpXjxxRcRHh4OlUpl8/4kJCQgLi4ODz/8MNRqNWrWrInWrVu7/ZpLEw4FJCIiIqI7VoMGDdC2bVvMmTMHAHD+/Hls27bNJglxpEmTJjZJlS+SkpLw8ssvo169eoiKikJUVBSysrKQkJDg0XkefPBBS9UNANq0aYOzZ8/CYDAAAA4dOoS+ffuiVq1aiIiIQKdOnQDAcp3Dhw+jffv2lqTKkT179uDxxx/H/PnzLUkVYBwWmJWVhZiYGISHh1u+Ll686HQoIQD83//9H3Jzc1GnTh288MILWL58ucMKWVnAihURERER+Z861Fg5CtS1PTB8+HCMHDkS33zzDebOnYtatWqhS5cuRR4TFuZeRUyhUNjMcwIAnU5n83jo0KFITk7GtGnTUKtWLQQFBaFNmzZ+bYqRnZ2Nbt26oVu3bvjxxx8RGxuLhIQEdO/e3XKdkJAQl+e5++67ERMTgzlz5qBXr16W5FKWZVStWhVbt261OyY6Otrp+WrUqIHTp09jw4YN2LhxI/7973/j888/x19//VVkglcaMbEiIiIiIv+TJLeH4wXaE088gVGjRmHRokWYP38+XnjhBZvKj7s0Go2lOmQWGxuLGzduQAhhOefhw4dt9tm2bRtmzJiBnj17AgCuXLmClJQUj6+/e/duu8f33HMPlEolTp06hZSUFHz66aeoUaMGAGD//v02+zdt2hTz58+HTqdzmtRUqlQJv/32Gzp16oQnn3wSv/76K9RqNVq2bIkbN25ApVLZNOaw5uj9AYwJXZ8+fdCnTx+MGDECDRo0wNGjR9GyZUuP34NA4lBAIiIiIrqjhYeH48knn8Q777yDa9euYejQoV6dJz4+Hn///TcSExMtiVGnTp2QnJyMSZMm4fz58/jmm2+wZs0am+Pq1q2LhQsX4uTJk9izZw8GDx7sVvWosCtXrmDMmDE4ffo0fv75Z3z11VcYNWoUAKBmzZrQaDT46quvcOHCBfz++++YMGGCzfEjR45ERkYGBg4ciP379+Ps2bNYuHAhTp8+bbNf5cqVsXnzZpw6dQqDBg2CXq/Hww8/jDZt2qBfv35Yt24dLl26hJ07d+Ldd9+1JHDx8fG4ePEiDh8+jJSUFOTn52PevHn44YcfcOzYMVy4cAELFy5ESEgIatWq5fHrDzQmVkRERER0xxs+fDhu376Nhx9+GDVr1vTqHB9++CEuXbqEu+++G7GxsQCAhg0bYsaMGfjmm2/QrFkz7N27F2PHjrU5bs6cObh9+zZatGiBZ555Bv/5z39QuXJlj6//7LPPIjc3F61bt8aIESPw6quv4sUXXwRgrJzNmzcPS5YsQaNGjfDpp59i8uTJNsfHxMRg8+bNyMrKQseOHXHfffdh9uzZDqtXcXFx2Lx5M44ePYrBgwdDlmX8+eef6NChA5577jnUq1cPAwcOxKVLl1ClShUAwOOPP45HHnkEnTt3RmxsLH7++WdER0dj9uzZaNeuHZo2bYpNmzbhjz/+KHLdsNJKEoUHfZZhGRkZiIqKQnp6OiIjIwMdDpFfxP93NQDg7tgwbHq9U2CDISIiciIvLw8XL15E7dq1ERwcHOhw7jidOnVC8+bNMW3atECHUqKK+r0r6dyAFSsiIiIiIiIfMbEiIiIiIiLyEbsCEhERERGVcY7anFPJYsWKiIiIiIjIR0ysiIiIiIiIfMTEioiIiIiIyEdMrIjKkIW7L2PyutOudyQiIiKiEsXmFURlyLgVxwAAjzarhvpxEQGOhoiIiIjMWLEiKiMkSbJ8n63VBzASIiIiIiqMiRVRGSGEsHyvtEqyiIiI6M5w6dIlSJKEw4cPO90nPj4e06ZNK7GYioskSVixYkWgw/AIEyuiMsIqr4JSwcSKiIjIH4YOHQpJkuy+zp07F+jQvLJv3z68+OKLbu+/detWSJKEtLS04gvqDsE5VkRlhF62qlgxsSIiIvKbRx55BHPnzrXZFhsb69W5tFotNBqNP8LyirdxlwSDwQBJkqBQlM/aTvl8VUTlkIGJFRERUbEICgpCXFyczZdSqQQA/PXXX2jdujWCgoJQtWpV/Pe//4VeXzDXuVOnThg5ciTGjBmDSpUqoWvXrpYq0Lp169CiRQuEhITgX//6F5KSkrBmzRo0bNgQkZGRGDRoEHJyciznWrt2LR566CFER0cjJiYGvXv3xvnz5z16LYWHAkqShO+//x6PPfYYQkNDcc899+D3338HYBxa2LlzZwBAhQoVIEkShg4dCsA4BWHSpEmoU6cOQkJC0KxZMyxdutTmWr///jvuuecehISEoHPnzpg/f75N9WvevHmIjo7GqlWr0KhRIwQFBeHy5cvYt28funbtikqVKiEqKgodO3bEwYMHPXqdpRETK6IyQrYaC8i8ioiISjshBHJ0OQH5sp6X7IvExET07NkT999/P44cOYKZM2fihx9+wMSJE232mz9/PlQqFXbs2IFZs2ZZtr///vv4+uuvsXPnTly5cgVPPPEEpk2bhkWLFmH16tXYsGEDvvrqK8v+2dnZGDNmDPbt24dNmzZBoVDgsccegyzLPr2ODz74AE888QT++ecf9OzZE4MHD0Zqaipq1KiBZcuWAQBOnz6N69ev48svvwQAvPvuu5g7dy5mzpyJ48ePY/To0Xj66afx119/ATAmZQMGDEC/fv1w+PBhvPTSS/jf//5nd+2cnBx88skn+P7773H8+HFUrlwZmZmZGDJkCLZt24bdu3fjnnvuQc+ePZGZmenT6ww0DgUkKiNsK1b8TISIiEq3XH0uHlj0QECuveepPQhVh7q9/6pVqxAeHm553KNHDyxZsgQzZsxAjRo18PXXX0OSJDRo0ADXrl3DW2+9hfHjx1uGtNWtWxeTJk2yHH/jxg0AwMSJE9GuXTsAwPDhw/H222/j/PnzqFOnDgBgwIAB2LJlC9566y0AwOOPP24T1w8//IDKlSvjxIkTaNy4sRfvhNHQoUMxaNAgAMDHH3+Mr776Cnv37sUjjzyCihUrAgAqV66M6OhoAMYE74svvsDmzZvRpk0bAECdOnWwfft2zJo1Cx07dsS3336L+vXr4/PPPwcA1K9fH8eOHcNHH31kc22dTocZM2agWbNmlm3/+te/bPaZNWsWKlSogL/++gu9e/f2+nUGGhMrojJCZldAIiKiYtG5c2fMnDnT8jgsLAwAcPLkSbRp08ZmyZN27dohKysLV69eRc2aNQEArVq1cnjepk2bWr6vUqUKQkNDLUmVedvevXstj8+fP49x48Zh9+7dSElJsVSqEhISfEqsrOMICwtDREQEkpKSnO5/4sQJ5OXloWvXrjbbtVotWrRoAcBY4br//vttnm/durXduTQajc31ASApKQnjx4/H5s2bcfPmTRgMBuTk5CAhIcHj11aaMLEiKiOsClZgXkVERKVdiCoEe57aE7BreyIsLAx169a12y6EsEmqzNsA2/UlzYlYYWq12vK9JEk2j83brIf5Pfroo6hRowZmz56NatWqQZZlNG7cGFqt1qPXU1Qcjq5bmPm51atXo3r16jbPBQUFASj6vbEWEhJit9/QoUORnJyMadOmoVatWggKCkKbNm18fp2BxsSKqIyw/seKiRUREZV2kiR5NByvNGrUqBGWLVtmk0Ts3LkTERERdgmHr27duoWTJ09i1qxZaN++PQBg+/btfr2GI+YOhgaDwbLN3GgiISEBHTt2dHhcgwYN8Oeff9ps279/v1vX3LZtG2bMmIGePXsCAK5cuYKUlBRvwi9VOFGDqAzy05xcIiIiKsK///1vXLlyBa+++ipOnTqFlStX4r333sOYMWP83jK8QoUKiImJwXfffYdz585h8+bNGDNmjF+v4UitWrUgSRJWrVqF5ORkZGVlISIiAmPHjsXo0aMxf/58nD9/HocOHcI333yD+fPnAwBeeuklnDp1Cm+99RbOnDmDX3/9FfPmzQMAuwpVYXXr1sXChQtx8uRJ7NmzB4MHD0ZIiGdVxtKIiRVRGZWeo8Oc7ReRnJkf6FCIiIjKperVq+PPP//E3r170axZM7z88ssYPnw43n33Xb9fS6FQYPHixThw4AAaN26M0aNHWxpDFKfq1avjgw8+wH//+19UqVIFI0eOBABMmDAB48ePxyeffIKGDRuie/fu+OOPP1C7dm0AQO3atbF06VL89ttvaNq0KWbOnGnpCmgeLujMnDlzcPv2bbRo0QLPPPMM/vOf/6By5crF+0JLgCT81Y+yFMjIyEBUVBTS09MRGRkZ6HCI/CL+v6sBABVC1bidowMAbHuzM977/Tg2n0pCo6qR+HNU+0CGSEREhLy8PFy8eBG1a9dGcHBwoMOhAPjoo4/w7bff4sqVKyV2zaJ+70o6N+AcK6IywvoTkAOXb2PzKWM3nxPXMwITEBEREd3RZsyYgfvvvx8xMTHYsWMHPv/8c0vF607ExIqoDHrtl8OBDoGIiIjucGfPnsXEiRORmpqKmjVr4vXXX8fbb78d6LAChokVERERERF5bOrUqZg6dWqgwyg12LyCqIxgh3UiIiKi0ouJFVEZUW66zBARUblWjvqiURlQmn7fmFgRERERkc+USiUAQKvVBjgSupPk5OQAANRqdYAj4RwrojKjFH0gQ0REZEelUiE0NBTJyclQq9V+X0CXyJoQAjk5OUhKSkJ0dLQlsQ8kJlZERERE5DNJklC1alVcvHgRly9fDnQ4dIeIjo5GXFxcoMMAwMSKiIiIiPxEo9Hgnnvu4XBAKhFqtbpUVKrMmFgRERERkd8oFAoEBwcHOgyiEsfBr0RlhMR+60RERESlFhMrIiIiIiIiHzGxIioj2BWQiIiIqPRiYkVURpSmBfCIiIiIyBYTKyIiIiIiIh8xsSIiIiIiIvIREysiIiIiIiIfMbEiIiIiIiLyERMrIiIiIiIiHzGxIiIiIiIi8hETK6Iygs3WiYiIiEovJlZEREREREQ+YmJFVA5MWnsq0CEQERER3dFKVWL1/vvvQ5Ikm6+4uLhAh0VUOhQxFnDG1vMlFwcRERER2VEFOoDC7r33XmzcuNHyWKlUBjAaIiIiIiIi10pdYqVSqVilIiIiIiKiMqVUDQUEgLNnz6JatWqoXbs2Bg4ciAsXLjjdNz8/HxkZGTZfRIFy4PJtPPrVduy/lFo8F5CK57RERERE5LtSlVg98MADWLBgAdatW4fZs2fjxo0baNu2LW7duuVw/08++QRRUVGWrxo1apRwxEQFHp+5E0cT0zHg212BDoWIiIiISlipSqx69OiBxx9/HE2aNMHDDz+M1atXAwDmz5/vcP+3334b6enplq8rV66UZLhEJYsLWRERERGVWqVujpW1sLAwNGnSBGfPnnX4fFBQEIKCgko4KqLAYF5FREREVHqVqopVYfn5+Th58iSqVq0a6FCIiIiIiIicKlWJ1dixY/HXX3/h4sWL2LNnDwYMGICMjAwMGTIk0KERERERERE5VaqGAl69ehWDBg1CSkoKYmNj8eCDD2L37t2oVatWoEMjIiIiIiJyqlQlVosXLw50CESllqtu6wO/24V3ejZE07uiSyIcIiIiIrJSqoYCEpFzrppX7L6QigEz2eqdiIiIKBCYWBGVI1qDHOgQiIiIiO5ITKyIyggh2HCdiIiIqLRiYkVEREREROQjJlZEREREREQ+YmJFRERERETkIyZWREREREREPmJiRURERERE5CMmVkRERERERD5iYkVURmRrDYEOgYiIiIicYGJFRERERETkIyZWREREREREPmJiRVSK5Wj1gQ6BiIiIiNzAxIqoFDt9IzPQIRARERGRG5hYERERERER+YiJFVEpJgIdABERERG5hYkVERERERGRj5hY0R1Nb5AxbO5eTN90NtChEBEREVEZxsSK7mjrT9zEltPJ+GLDmUCHQkRERERlGBMruqPl6QyBDoGIiIiIygEmVkRERERERD5iYkVEREREROQjJlZEREREREQ+YmJFRERERETkIyZWRKWY4ArBRERERGUCEysiIiIiIiIfMbEiIiIiIiLyERMrIiIiIiIiHzGxIipDlDCgvpQAgJOviIiIiEoTJlZEpZptAjVVPQPrgv6L55V/BigeIiIiInKEiRVRGdJHuQsA8Irq9wBHQkRERETWmFgRlWqS1Xey5Xthtd2fNpy4icNX0orl3ERERETlGRMrolKtYCjgj+pPHGz1n/PJWXhhwX70+2YHjlxJw/RNZ6HVy64PJCIiIiKoAh0AEbl2t5SIdsrjxXqNhNQcy/d9v9kBAAhSKfBSx7uL9bpERERE5QErVkRlwC+aCYW2FM9QwMJO38wskesQERERlXVMrIjKgEpShs3jWCndb+c+n5yFXK3B4fhCqYQSOCIiIqKyjokV0R1s36VUdJnyF7pP+zvQoRARERGVaUysiO5gq45cA2CaX8XiFBEREZHXmFgRlWKiiPZ/Ucjy88X8ezoiIiKiOwkTK6Iy6g/N/4r9GhKrWERERERuYWJFVEbVVCQHOgQiIiIiMmFiRXQHk9wsSQkhIIoal0hERER0h2NiRURFEkLg8Zk78eSs3UyuiIiIiJxQBToAInIu0GmMBOBmRj4OJqQBADLy9IgKUQc0JiIiIqLSiBUrIiqSsErv2MyCiIiIyDEmVkSlmKs8JgI5JRKHGfMqIiIiIseYWBGVYq6GAr6i+r1Yr88KFREREZF7mFgRlWHNpPN+O5dwksaxXwURERGRa0ysiExGLT7kVte7rHw9Vh5OREaergSiKlo75fESvZ677dmJiIiI7jRMrIhMVh6+hmOJGQCAn/cmYMSig9DqZbv93lhyBKMWH8ZDn24u6RBxXanE1pAQ5BZDgiM5mEElQQp4Z0IiIiKisoCJFZEVrcGYSL3921Gs/uc6fjt41W6fNcduADC2Hi9JBgBPV6uCV+Ni8XrlSpaEp53iqF/O72woIBERERG5xsSKqAiZJZw8FWY9MvGcRo0klXHpuW2hIdgaGgIA+EnzSSBCIyIiIiIrTKyISjHroYhXVLbreW8yJVbFzXreGWdYERERETmmcr1Lgd9/97y1c9euXRESUjI3gETlzffbL1i+TzQlVqGyjByFAqc1Gp/Pz14URERERP7hUWLVr18/j04uSRLOnj2LOnXqeHQcUaAUTjQCnXicup5p+f6q2vjn+lBOLtaHh+GSWgUZxVt2DvTrJyIiIiorPL4nu3HjBmRZdusrNDS0OGImusMYh+JdM1WsWuflQy0E8hQK3FApSzQSJlpEREREjnmUWA0ZMsSjYX1PP/00IiMjPQ6KKFBK42K45obnN5TGJKq6Xo+aOuMaWhfV6mK/fml8T4iIiIhKG48Sq7lz5yIiIsLt/WfOnIlKlSp5HBQRGQkIS8OIFFN1KlZvQLzO2K3wktqj0bx2HK1dZfN8oaeZZBERERE5xq6ARFZK21A3ybRErw5AqqliFWswoJremFjdUBoTKyUMlmMS03JLPE4iIiKiO51fE6vbt29jy5YtmDp1qj9PS3THu2VKqlRCIFqWUVVvTKSum6pYg5SbLfuOW3HMq2uwGkVERETkPa/HEV28eBGHDx+2+bp69SqEEAgLC8Po0aP9GSfRHSlXZ4AEgWRTYlXJYIACQFVTxeq6qaFFbemG5Zj0XJ0fI7At4TH3IiIiInLM48SqY8eOOHLkCDIyMhAVFYVGjRqhcePGSExMxA8//IAuXbqgRo0axREr0R0nPVcHNYAkq/lVACwVK0ddAT0ZzWg99LG0DYMkIiIiKks8Hgq4a9cujBgxAleuXMHt27exY8cOzJo1C5IkoXXr1kyqqEzxdfibcHGCA5dT8fz8fbh8K9vra0gQSLGqWAFAnKlilaxUQgfbSpK3CZKzl8IhgkRERESueZxY7dmzB9u2bcOIESNw5syZ4oiJyGdvLf0H7/9+3O/nzdMZXO8EYMDMnRi/8hgen7kLG08m4ZUfD/p03TSl8U+1okE2/leWoZEFhCT5tJbVrvO3inyeVSwiIiIi93icWLVo0QJ///03nnjiCXTv3h0jRoxAUlJSccRG5JXr6bn4Zf8VzNt5yWUi5Eni8Mu+BDQYt9atffdfvo0Fuy5bHl+9neP+hQqRIJCuMP6pRskG0zagqsHUGVClKrS/ey/qwOVUnLie4VEsrip0RERERHcqr7sCPvXUUzh+/Diio6Nx7733QpZlGAzufZrvjk8++QSSJOG1117z2znpzqA3FM/N/1vLjtptczfP8DWigsRKtmyLs3QGVFmtduW+A5dv2zwePn+/3T67z9/CvkupHp+biIiI6E7jU7v10NBQfPTRR9izZw969+6NLl26YPLkycjN9W0dnX379uG7775D06ZNfToPkadK48i3KtJtZJgTK0NBYlXQGVBpk1jtvZSKfL3rDzkUbpTrLqRk4/UlRzwNmYiIiOiO43Fi9c4772Dv3r022+rUqYOVK1fip59+wty5c1GnTh2vA8rKysLgwYMxe/ZsVKhQwevz0J1nz4Vb+OtMsl/PKflrkpEPJau/g0YjXem8YnVDaT/HavbfF7y/YBE4EJCIiIjIMY8Tq+vXr6N3796oWrUqXnzxRaxevRr5+fkAgK5du+LIkSN46623vA5oxIgR6NWrFx5++GGvz0F3HoMs8OR3uzFkzl7cztGW2HVLKtFIVxiTJ+vEytwhMNVBYrW/0DA/R/yWNBIRERGR5+tYzZ07F0IIbN++HX/88Qdef/11JCYmomvXrujTpw8effRRr+dFLV68GAcPHsS+ffvc2j8/P9+S1AFARoZnE/Gp/JCtJjvdzvHnArmlg3mOVaTVUMAYU2J1y0Fi5Q5FGc2r8nQGBKu974RIREREVBy8mmMlSRLat2+PSZMm4dSpU9i7dy8efPBBzJ49G9WqVUOHDh0wefJkJCYmun3OK1euYNSoUfjxxx8RHBzs1jGffPIJoqKiLF9cQ4tKK28rW88p10AADocCmluv31Iq7M7vTs5UFvOqX/ddQYNxa7HikPv/thARERGVBJ+aV5g1bNgQb775Jnbs2IGrV69iyJAh2LZtG37++We3z3HgwAEkJSXhvvvug0qlgkqlwl9//YXp06dDpVI57Dj49ttvIz093fJ15coVf7wcIrcVd/vx8eqFyJUk6E3D9qwTK+uKVeEkyZ2oFF6UrALdbf3NZf8AAF775XBgAyEiIiIqxOOhgK7ExsZi+PDhGD58uEfHdenSBUeP2razHjZsGBo0aIC33noLSgfDnYKCghAUFORTvFT+lMZKjC8JmHkYoFoIBFudx5xY5SoUiFC4nlNVGOdYEREREfmP14lVbm4uhBAIDQ0FAFy+fBnLly9Hw4YN0b17d4/PFxERgcaNG9tsCwsLQ0xMjN12ojtJpimxipBlm6QxTAgEyTLyFQpkK2XHBxeBaRURERGR/3g9FLBv375YsGABACAtLQ0PPPAApkyZgn79+mHmzJl+C5BKn/QcHZYeuIqsfH2gQ3HIl9Fqhas4rpKPkhgZl20ashcu2yZPEoAY0zyrTG8SK28yK/ZbJyIiInLI68Tq4MGDaN++PQBg6dKlqFKlCi5fvowFCxZg+vTpfglu69atmDZtml/ORf7z4sL9GLvkCN5a+k+gQ7kjmCtWYbJ9VlNRNg4HbKY5ih/Un0MJ1wsDm7mzQDARERERucfrxConJwcREREAgPXr16N///5QKBR48MEHcfnyZb8FSKXPnoupAIDVR68HOBLHfJnPVFzNKHw5a7bVUMDCYqw6A3ZRHkI3xX7j9dy4INMqIiIiIv/xOrGqW7cuVqxYgStXrmDdunXo1q0bACApKQmRkZF+C5DIHYFKEkqiS15BxaogseqZ/zEA+7WsQpAPd7FiRUREROQ/XidW48ePx9ixYxEfH4/WrVujTZs2AIzVqxYtWvgtQKKSVBo75WWZ5lhZV6wMpj9dc2KVqjAmVh5F78VLFZxkRUREROSQx4nVO++8g71792LAgAFISEjA/v37sW7dOsvzXbp0wdSpU/0aJNGdLKvQHKscEWTJiQoqVsZ9JMn9xMebitWBy563dSciIiK6E3icWF2/fh29e/dG1apVMX78eFy7dg06nc7yfOvWrdGgQQO/BkkUKK5yjzy9Abla1w0jfBkymC2ZEithrFj9n/Y9y3MFc6zs13lzxZva3PD5+704ioiIiKj88zixmjt3Lm7evIlff/0V0dHReP3111GpUiX0798f8+bNQ0pKSnHESVQqNf9gPRqOXwut3vN25+7KNQ0FNFesjot4y3MVC82xkkxD9dzJ4zioj4iIiMh/vJpjJUkS2rdvj0mTJuHUqVPYu3cvHnzwQcyePRvVq1dHhw4dMHnyZCQmJvo7XqJi5WkVx9wB/Xp6bpH75eoMyNe73wrdWo6pbBYiHHUFtE2siIiIiCgwvG5eYa1hw4Z48803sWPHDly5cgVDhgzBtm3b8PPPP/vj9EQu+av6ojPI2H3hlp/OZuu9lce9Oi7XNMcq1ME6VgULBCugs9pe+lpwEBEREZVvfkmsrFWuXBnDhw/HypUrMXbsWH+fnkqZkYsOQm8ovmFwJe2jP09i4He7i+Xci/dd8eq4goqVwEjtqzbPRcoyVKYJXLeUSs+GAno58cudOWVEREREdxqVtweOGTPG4XZJkhAcHIx77rkHffr0QcWKFb0Ojkq/Vf9cR4/GVdGradWAxmFdofGlenUoIc3L6xdfjcg8xypUlrFKbmO6nvFVKmCcZ5WkUuGWUlEilaqVhxMxsHXNErgSERERUdnhdWJ16NAhHDx4EAaDAfXr14cQAmfPnoVSqUSDBg0wY8YMjBkzBtu3b0ejRo38GTOVMtlafaBDsJGapS3y+eTMfExaewqDH6xVQhH5JsfUFTDESYWpokFGksq2YuUObxNQNr0gIiIisuf1UMC+ffvi4YcfxrVr13DgwAEcPHgQiYmJ6Nq1KwYNGoTExER06NABo0eP9me8RC69vuRIkc+//dtRLDlwFf2+2eHyXKVhrlKOpWLlOKVhAwsiIiKiwPM6sfr8888xYcIEREZGWrZFRkbi/fffx6RJkxAaGorx48fjwIEDfgmUyF8uJGcFOgSP5DroCiisUj5zYpWqVHhUsWLpiYiIiMh/vE6s0tPTkZSUZLc9OTkZGRkZAIDo6GhotUUPyyKiouU46AponUA5WiTY28YUREREROQdn4YCPvfcc1i+fDmuXr2KxMRELF++HMOHD0e/fv0AAHv37kW9evX8FSuRX1inHKU9/9AB0BexjhVgOxSwJIYuCgF8tekstp1NLoGrEREREZUNXjevmDVrFkaPHo2BAwdCrzc2L1CpVBgyZAimTp0KAGjQoAG+//57/0RKVIpJxZTRmOdXAcBaXVvL9/lQW76vaJVYVbbE4zogUWgsYBhyESel4ryoXuRxE1efQI6p5fqlT3u5vE5xKK73m4iIiMhbXleswsPDMXv2bNy6dcvSIfDWrVv47rvvEBYWBgBo3rw5mjdv7q9YiZzK1xe9lpbOIONQwm3oDbJNVcdfN+j+rHxp9TKWHriKa2m5yDV1BFQJgfWGBy37XBDVMF/fFQAQI5uHAhbMsfJmKOBfQaOxKegNNJYuFLlfDtexIiIiIrLjVWKl0+nQuXNnnDlzBuHh4WjatCmaNWuG8PBwf8dHZUEpGE731Pd7inx+3IpjeGzGTnz058nSEG6Rvvv7PMYuOYJ/TdlqqViFyAJyoT/X9/TDAFg3r/Cs3bq1ONxCJck4N7KL4pC3oZcYFqyIiIiotPEqsVKr1Th27Jhbw42ISsKRK2lFPr943xUAwNwdlzw6r7u/4/78U/j7bAoAIE8nWzoChgrZYcp0Uq5pSazSFAq74X1FsS5qfa+ZUrCdaQsRERGRx7weCvjss8/ihx9+8GcsRFSIdUdA4eDPdYWhHaINMiQhIEsStErvunA2VlyyfO9JzStQ3Qf5oQ4RERGVNl43r9Bqtfj++++xYcMGtGrVyjKvyuyLL77wOTiiO531GlYGB4mVDAkqABVkGalKJXTKfLfP7Y+UaN+l22hdu6IfzkRERERUtnmdWB07dgwtW7YEAJw5c8bmOX6afOf57u/zCA9S46kHagY6lHLFkljJAjoHz5uH7VU0GJCqVCJHZdxrm2k4oTc8GQqYlhOYder4LwwRERGVNl4nVlu2bPFnHFSGJabl4stNZwGg3CZWu87fKvJ5V10JvZVnGgoYLATyHVSszFWnGIOMcwCEMsfy3I30PMRFBTs9t3kUX1/Fdq/j44coREREREZez7ECgG3btuHpp59G27ZtkZiYCABYuHAhtm/3/kaNyp7sfH2gQyh2g2bvLvL57/4+XyzXzTclLkFCOKwkmeddmdeyekhT0B0xLde9atLHau/nSjKtIiIiIjLyOrFatmwZunfvjpCQEBw8eBD5+ca5HZmZmfj444/9FiBRILlbkDlyJb1Yrp9nlVjJwj4YranoHGO1SLCZ5GbaU3gvdgUkIiIi8pzXidXEiRPx7bffYvbs2VCr1Zbtbdu2xcGDB/0SHJUNpXldKFdN6wLU1M5t5opVsBCQHSQ8vxnaAzAOBQSMiwSbuUoKza3ZFTAeawBwRaWC48bujpXESMDvt13AnO0Xi/9CRERERD7wOrE6ffo0OnToYLc9MjISaWlpvsREVKw8aREe6MTLpmLl4M81B8Y5VI4qVu4y50ajqsSiZ41qOBN9zf1jvUisjlxJw2drTyFH63oIaXqODhNXn8SHq07YDDkt5fkwERER3YG8bl5RtWpVnDt3DvHx8Tbbt2/fjjp16vgaF5UhZXngWGnvvZCvMFWsZMdzrMzMiVWqzVDAohUkjQKJKiX+Cg0BAFyKTAaK7tXhk77f7LBc/789GhS5b57eYPleb2A6RURERKWX1xWrl156CaNGjcKePXsgSRKuXbuGn376CWPHjsW///1vf8ZIZUigFoz1hHUnuzG/HnGxb3FH4+CaVt9fRyQAc8WqqMTK86GABdcTOBoUZHl8OygXdaUr7gfspbM3M13uY/PrVMqTYCIiIrqzeV2xevPNN5Geno7OnTsjLy8PHTp0QFBQEMaOHYuRI0f6M0Yq5QJd9fly41mP9i+O5M+6suIr6+iyJBUAvWmOlfPPQawrVgoYIMP9IYEayYBzVvMkdZKEKcGT0Tf3S5fHutsgw5FNp5KQkadDZLDa9c4I/O8ZERERUVF8arf+0UcfISUlBXv37sXu3buRnJyMCRMm+Cs2KiMCWaQ6l5SJqRvPuN6xmF2+leN6Jy/oTMmEs+YVZuZ263pJwnjNd6atRWci1j+2i+pCn7GoMzyM1Dtjfjlc5PPCyWyqslAZJSIiojuLT4kVAISGhqJVq1Zo3bo1wsPD/RETkdsy84p3Da1AF0m0kjGBCBKy0zlWu+WG0ACIMA0H7BC0C4BnFZ4bKtvE6qa7TTB8fIM2nkwCAEzbeAbLDly1e946fwr0z4KIiIioKB4lVv/88w9kWXZ7/+PHj0OvL/+Lx1Lp5aziUVYEK4yVsKKGAg7UvgvAi86AVllLksp4TFXT32uS2r1z+CPZGfPLYUzbeBavL3E1342pFREREZVeHiVWLVq0wK1b7rcLa9OmDRISEjwOisqWsp26lD7W6YNOYapYyQLnRbUij6go2yZW7qYhBgDJpmOa5RkX+r6h8rxtu7d+O5To1n4c/kdERESlmUfNK4QQGDduHEJDQ93aX6vVehUUkbtc3Wr/tDsBL3Qou+3/zQsEb9G3gs7Fn2u0aShghsL4eYm7FZ5bSiUMkgSlEGiSr8Xa8DBcUbn3T0NxV5Gc/XyZYhEREVFp41Fi1aFDB5w+fdrt/du0aYOQkBCPg6KyS4jS1b3toz9P2iVWpf2m3Do+8wLBknD9pxpiqujkuvkDMF/HPJ+qksGABqYPQ05rNJAgQ7goahf3j9q6SlXaf25ERER0Z/Mosdq6dWsxhUFlWSDzqFKUwxUDgTzJmNgohOuhecGyKbEyLSrs7ntjnl9VRW9Afa0OAJCoVuFu5QWcM9T1MObiw5GAREREVJr53BWQyo/0HB0upWQHOgyXkjPz0ePLbZi/85JXx3uUjAWw/CZBWIYCKmR3KlbGoYDmipWr0M2JinlOVozBgChZtjSwGBC6xJuw/YrJFBEREZUVTKzIotmH69Fp8lYkeLgmU0nf+07deAYnr2fgvd+Pe3V8ab9XN+dDCqvESpJdV6zMQwHNVS53pZnmZFUwdfysn28cDhgRchHhKJ71ubxi9YNjwkVERESlDRMrsrP/cqpH+/+w/WIxReJYns5g+V4ve36HbfDimECQIJBnGtYHN+ZYhdoNBXSv2pamNP4zEG1q117LVLFKVKkQIxW9ULAnBb18vcH1TkUo663ziYiIqHxjYkVl2rgVxzw+5urt3GKIxP8UMEBnylyS5Eou97ceChgErRtDAY2JSprCWA2LNlWs4kwJ0A2VCiEourOnu8nbkv1XUP/dtfjtoP0iwEXH6Py5WX+dx430PDfOITB2yRF8s+WcR9cmIiIi8oTXidXQoUPx999/+zMWKgdKuqZw6kZmCV+x+JnfQ0nSWbZt09/n8riC5hUKjFCtcPt6ty0VK3NiZaxY3VQqoYRvVSazN5b+AwAY82vRiwAXZl2lKpxkfbLmFJ6avdvlOXZduIWlB67i83XudzQlIiIi8pTXiVVmZia6deuGe+65Bx9//DESE91b5JPKt6x8faBDKDckRUG1SBYal/tbt1tvKrkenmnOU8xDASuYEquqloqVEioXiVVJ9vZwlLRfcKPZSkoW19MjIiKi4ud1YrVs2TIkJiZi5MiRWLJkCeLj49GjRw8sXboUOp3O9QmoXPJ0qJdXyvlUG3OuYq5YqYRwuZ4UYN28QoICstOkJ1drQP8ZOzB901nE4RZuW4YCGpOoKqaKVbJSCQWKTpTPJ2e5jMsX1lWq49fSvTpHNpN9IiIiKgE+zbGKiYnBqFGjcOjQIezduxd169bFM888g2rVqmH06NE4e/asv+IkCoiArtGlMCZWwUJAdvGnmirCEWKaI5WjkKCE7HTfpQev4mBCGm7n6PCZerZdxcrcHVBIEiRl0V0Bx6/0rjOju6xz6Gd+2OvVObLymFgRERFR8fNL84rr169j/fr1WL9+PZRKJXr27Injx4+jUaNGmDp1qj8uQVTmeTpsTiEZh7AFudHF0AAFgi1DARVQSjIkJxfMt+qqWFlKQbap3foruW9jkb4zlAAiTEkWVK6bQxQn4Ye+6lqD8ySTiIiIyF+8Tqx0Oh2WLVuG3r17o1atWliyZAlGjx6N69evY/78+Vi/fj0WLlyIDz/80J/xEt0xJMlYaXGnYmWAEiFW7dYVkJ0mJdabM03LYymFQL4cjnf0LwAoGBYolIHtoFiSoz7zdAZsOHGT8wSJiIjIK64Xx3GiatWqkGUZgwYNwt69e9G8eXO7fbp3747o6GgfwqPy4K8zyZi64Qw+H9AU91SJCHQ4ZYZSkQ8DAI1wvYKTAQqE2syxci8lMSdWkbIM689ZomQZVwAIRYATKz9kVu5WCieuPoEfdyeg/T2VsHD4A75fmIiIiO4oXlespk6dimvXruGbb75xmFQBQIUKFXDxYskuHkuB5ehGeMicvTh8JQ0v/Xig5AMqw3qqdgIAgtypWAmFzTpWChicJiXWaVq26bQRsmxzjSjT8Lnemq1eRu8f/hgK6K7Fe68AALadTSmxaxIREVH54XVi1bFjRwQFBdltF0IgISHBp6Ao8I4lpuObLeeQr/fPOkYAkJZzZ3eL9DRHaKM0rv3kTsVKB5VlKKCQJBgk9+YVZSuM5ZwIWbZc47qoiChTAwu1MhNBLhYJLk7lvAEkERERlSNeJ1a1a9dGcnKy3fbU1FTUrl3bp6Ao8Hp/tR2frzuNH7aX/Yrj7gu3vD72szWn/BiJZ3SSMa0wJlbGBEijcvwnO0o3wtK8wnise4lVjouKVbrSL/1tvFaCBSsiIiIin3h91ySEcNh1LCsrC8HBwT4FRaXHyeuZgQ7BZwO/2+31sZn5etxID0xnPLVpgWCNEHDV+P2YqIMvdQOgNmUiBoXzjMQ6WSkYCiggm64hQVgqVukKBaQA1o1kZlZERERURnjcvGLMmDEAAEmSMG7cOISGhlqeMxgM2LNnj9M5V0Rl0VPfe5+YFXb1dg7uqhDqekcA+aYPLjRuJhfTDf0RJ3ZD52IooPXZrIcCwkFilaFQYJXmf5ip74Nlcge34vDV9E1nsfJwIpa90pYVKyIiIiozPE6sDh06BMBYsTp69Cg0Go3lOY1Gg2bNmmHs2LH+i5AowC4kZ/vtXOm5OtxVoeh9zIVgrSnRCfIgu9AIgWwAchELBFuzGQoozImVuUugMbGqq7iGKZpvsSyvZBKrLzacAQDM3nYBPZtUdbn/xhM38XCjKjbbtpxOwh+Hr+GDvvcWS4xEREREhXmcWG3ZsgUAMGzYMHz55ZeIjIz0e1BUdpVEgaEsFzEUbvT+NudRWkvFquA5V0dbhgJKwnlXQOuhgKZ26+GybDMUMNI0xyojgHOs9LLz12Dt+QX7cenTXjbbhs3dBwCICdegQpjG5rlbWflQSJLddiIiIiJfeL2O1dy5c/0ZB90BSrJ1dmnl7ppKAJCvsB8K6OodVJt2kN3uCmj8r23zCoEo0wLB6YoANq8Q7jevcDbn83p6nk0Cla834L6JGwEA5z7qAZVV4ujJz4aIiIioMI8SqzFjxmDChAkICwuzzLVy5osvvvApMKLySHJZcypgHgponVi5Otq8700pEg3duIZ5jlWkVbt182PAOBQwkFw3mjdq/uEGzB12P1rWLHqc5a2sgtbxeXoZ4QHuekhERETlh0eJ1aFDh6DT6SzfO+Pok2Mi/l4ACg/eAvNQQE/mWKlMu+4QDdDRSVJinazkKWQASoTLAsJUsbKeY5WpUECGD+1DfSG5X7FKz9VhxE8HsevtLg5OU/Cme1oz3Xk+BRFBajS5K8rDI4mIiOhO41FiZZ5fVfh7IjMO9yuaO7mlpXmF6Rs13B8KmCtCAehgKOI61j+ifFNiFVFojlWEKbGSJQlZCgmRcgB+rsL/7daFB9W/mxl5eGr2HgCwm8NFREREVJjXH0Tn5uYiJyfH8vjy5cuYNm0a1q9f75fAqGxbfugq/rf8KAyBuCEv1dwvWeU7qFi5OlplmWNlcOsa5uYUEYaCoYASBIIEEFxoOGAnxWG3zulPnv72FP59K6pK6irJvZaW6+HViYiI6E7mdWLVt29fLFiwAACQlpaG1q1bY8qUKejbty9mzpzptwCpbBr9yxH8tCcBfx69HuhQ/CoMuZitnox+iu1eHe9OxapwV8Ag2f2KldLUMl1IssthdH0UO5ElGf8JCBcy9KYCtjnEwvOs5mkmFXtyZVPx9GAoIGBsVHH3O3/is7WnrE9hI0/nXsIJlO3uk0RERFTyvE6sDh48iPbt2wMAli5diri4OFy+fBkLFizA9OnT/RYgBZavQ/tu52hd71SGvKhaha7Kg5immeHV8e60WzfTmnZVe3CLb51YuTJF8zW0pklfYbJAJowLF0um65kTK+vOgPM0k9yOxWfCu9+/mVvPO31u+qZzBadn5kRERER+5HVilZOTg4iICADA+vXr0b9/fygUCjz44IO4fPmy3wKk8qM8zL+qiEyfjvekfYd3QwGNe7jTbj3XqpNGmGy/fyA6Axb+FfH1N6ZwHnvieobfzk1ERERkzes7prp162LFihW4cuUK1q1bh27dugEAkpKSuGgwkROeNK/QOVgg2BWlaV8hyU4TB3OCm2MaBqgSAmrr65srVqVgkeDizMXHrziGYXP3QuY8QCIiIvIDr++Yxo8fj7FjxyI+Ph4PPPAA2rRpA8BYvWrRooXfAiQqLJCVL8nHOocnQwHzLYmV50MBZUnG0gNXHO5jPl2OqWIVWqhaZY6wssE4HylBpbZ5fo3mLdwlJbkdkzPDlGswRLnONrZC+/jaFVCCbTJr/bvz26FEbDmdjH8S0x0eWw4KrERERFSCvE6sBgwYgISEBOzfvx9r1661bO/SpQumTp3ql+CI7mSO1rFyt3mFLMn4ZovzuUZAQcUqzC6DMD5ulm+cH3coOMjm2YaKK5in9m2uVSSy8J56IT5Qz0cYCrrvFU6afU1uCncFdHS68jBElYiIiALPpzE+cXFxaNGiBRRWczBat26NBg0aeHW+mTNnomnTpoiMjERkZCTatGmDNWvW+BIilbA9F1NtHts0eeMCwV51BdR4MMdK6cYcK/PZsl1UrFrk5QEAjgdpkFco8LqKay4iKVonxRHL92roLd9PWHXC8r3WIGPb2WSfruMOlcK8MDJ/P4mIiMh7Hi0QXNimTZuwadMmJCUlQS50czZnzhyPz3fXXXfh008/Rd26dQEA8+fPR9++fXHo0CHce++9voRKJWTDiZuBDqHEtJJOIRWRuCCquX2MJ8mlN0MBzYP2JEnvdJ+CoYDGhCJUFrgqKtntd5fegMp6PZJUKuwJDkLH3Dy343BluuYby/fWwyvn7ypofDN3xyWfr7Pr/C0sP5RYsMHBW+lObw4hBD8YICIioiJ5XbH64IMP0K1bN2zatAkpKSm4ffu2zZc3Hn30UfTs2RP16tVDvXr18NFHHyE8PBy7d+/2NkwKAOtFWovjXnTFYd+qJb6wfjlLgz7E5qCxXh/vdB/TTo4qVtZGdL4bDeIiUK9KuGVbfRjfm5bKUw6PsZZjOn+oEBivG2rZvk6+3xLrw9nGYXp/hoe5Ebl3FMXYn+9Ghm0y6OhKzue9cYggERERuc/ritW3336LefPm4ZlnnvFnPBYGgwFLlixBdna2pTEGlTxvPqX/aY/jdvucy+LerfrhK2kACtaxCnLyvr3RvQHe6N4A/b7ZYdmmKTSMsCjWzStSoLFsH68bin1yfTSSLqF31l9YFBWBjaGhSFPcRrRVZbqbYh/Wm5IwX5RkHchRMwyVwnUEQhTPhwRERERUfnhdsdJqtWjbtq0/YwEAHD16FOHh4QgKCsLLL7+M5cuXo1GjRg73zc/PR0ZGhs0XBZ6z4YC3c3To/dU2ZOTpSjiisuNQwm3k6YzJi6uKlSPmfXVFZAECtu3WQ4WAQSgtz+cgGL8YOiNZRKOxVouG+VpoFRKWR9hWrb7TTMU90lW3Y3NGgus1t/zF0VupcCexKoZYiIiIqHzxOrF6/vnnsWjRIn/GAgCoX78+Dh8+jN27d+OVV17BkCFDcOLECYf7fvLJJ4iKirJ81ahRw+/x3CmSrIZM6Q3Fdxt5LDED8/0wd6a82n2hoPmHw+YVLnIAtTmxKqIO5KjdusHB/rKpncPADOOiyL9ERKDwzK27JN+bSxTnUMDChINrKZ28qSywEhERkSe8HgqYl5eH7777Dhs3bkTTpk2hVtuudfPFF194dV6NRmNpXtGqVSvs27cPX375JWbNmmW379tvv40xY8ZYHmdkZDC58lK21mD53nq4lK/D9xwdrjWUXIXC33xdx8rV+2l9j5/vqN26i8urTfFp3Ri2Zmm3LgvIDj9jMZ6kR3YOvqgYjUS1Co/UqIbpN5PRSGusOuqhdHCcZ5QlWLGSHVzKvU6NAs4GLeoNMj768yQeqlsJXRpW8S1AIiIiKrO8Tqz++ecfNG/eHABw7Ngxm+f82T1LCIH8/HyHzwUFBSEoKMjhc0RlmwGypWJV9J7Wf25q075FDwU0srRbFzIMDhIrYUokQoTAeympGFMlFjdVKjxZvSomJaWgR3aOXxIrhSSX2Fi7jFz7YajufHbgbBdZFpi28Szm7riEuTsu4dKnvXwLkIiIiMosrxOrLVu2+DMOAMA777yDHj16oEaNGsjMzMTixYuxdetWmwWIiQJFCQO6KA+6te8jir1ooTiLWCkdFZGJobo3AUgub+It6ZBVu3SNEGgQF4FTNzLRv2V1/Lz3itPjzcMG3WteUdBu3XFiVaBrTi4+SUrB5zEVkKpUYn5UhDGxEp4nVkHQ2jwuyYpVZr59G3rL6yziLdt3MRXzd13CuN6NcFeFUMv20b8exsoAdqkkIiKi0sOnday2bduGWbNm4cKFC1iyZAmqV6+OhQsXonbt2njooYc8Pt/NmzfxzDPP4Pr164iKikLTpk2xdu1adO3a1ZcwKYDKcie1aGSihpSMo6IOAGCYci2qSGluHfutZprN43v0iTgr7sLifQl4o7sbC2grbBOrFSPa4VpaLk7dyHQrsSqqYmVW0G5ddphTiEJbe2fn4MG8PHSueReOBwUhXaFwmJC58n/Kv2wel2Ri5QnrxPKp7/cAMDZg+fWlgi6lTKqIiIjIzOvmFcuWLUP37t0REhKCgwcPWobrZWZm4uOPP/bqnD/88AMuXbqE/Px8JCUlYePGjUyqKGB2Bb2KP4LeRWvpJACgl3KPkz1ty1COutyZk4df9xfdRc+cD5kX+FUJASWAYLUSdWLD0aVhZTSpHoVnHqzl8HhL84qi8irTPtYVK4WDmB0V1yoZZFTTGWO7oFZB58VnMxHIhQBgntXn67w1X3kyjzDxdm4xRkJERERlmdeJ1cSJE/Htt99i9uzZNo0r2rZti4MH3RsuRVSahUjGIWudlEcAOE8AopBt87iPYqfdPh4nD6bESi0EUhFp2RykUuKPVx/ChH6NHR5mPRSw8JA7M3MkaZLx7zZUCIed+Rw3tABq6Y3zlC6p1XBc63JOARn3BB3GwzWqYWC1OORJkkcVq9dVv+J79ecOE0FvOfvJOHplGXk6vLviKPZfSnXwLBEREd3JvE6sTp8+jQ4dOthtj4yMRFpami8xEZUqrpKiPzT/s3kcLzlexwtw3ShBMt3OmytWQUJgkuplN6I0OmowdtTUQUIkcorcN9fUvCJMlt2uWAFAvNYY2yW1ChIEvthwxu34pqu/xq6YZCSpVDgVpMHG0BCXiVUFZAAQmKf+DK+qVuBh5SG0Vxx1+5r+lJmnx4+7EzDg210BuT4RERGVXl4nVlWrVsW5c+fstm/fvh116tTxKSgKLOsb6lyrNuxenatcrQXk+MXUVNiu5aSQ7BMFbytWGiGQLkW4fZhSGJMlrSQ5vab5Z5JrKskYhwI62tdxNcq6YiUBmL7prNvxZUUfw9rwgoWGTwZp8Irqd8TitsP9RymX4VDwy3he+aelcggAGvhvkWlnv6Pl6leXiIiIip3XidVLL72EUaNGYc+ePZAkCdeuXcNPP/2EsWPH4t///rc/Y6QSYH0LnZlXcNOamMY5JZ4apVput83dAXPmOVZxCmPVSyOcrTHlmNpqKKCr4XK5Vu3WE0Ulu+cLN68wq22aY3XZVLFynwEfVapos+WMRo0+yl34QTPZ4RGj1csAAO+qf3IrNu8whSIiIiLfeZ1Yvfnmm+jXrx86d+6MrKwsdOjQAc8//zxeeukljBw50p8xUgn7+M9TfjuXo+Z0Za2KZX4J0YXmUnni/5RbTd+59+J7q3YAMK5hJTz4M1WaotVJgAKiyMYMeabTztH2wTXYJ1bO5k9V1RsTq5sqlZNKl5PYQi5bvn/9lrFCdUajgQDQVHHR7fMAd14qJMsCLy3cj49Wnwh0KEREROSE14kVAHz00UdISUnB3r17sXv3biQnJ2PChAn+io2oVAmVHC9U7Y6hqvVQQHY7qTR39QsSAjoXfRqs0x+V1QLBCkk4vJ6AAKCH3pT1HtA7boThLLGqrDcOD81SKBCmSCs6OCuKYGMVrlN2DgZmZkEhBFKVSqQo7f8Z6qvYjjGqX90+ty/KQqJ/5Goa1h2/idnbPEtAiYiIqOT4lFgBQGhoKFq1aoXWrVsjPDzcHzFROXLyeqbdtrK8tpUz7nSpW615x+3zGSTj3b5aCNzKsV/U1hm1zRwr2WFlRwgAyoIkUZLVDvYCrojKDreHCYFQ2fh6PwqZ7nZsiqAbAIC6Oh2ChUAt05DC0xqN3b5fambgP6oVTs/lz6GAzvKq0pRw6eVSFAwRERE55NEiNGPGjHF73y+++MLjYKj8+XlvQqBD8APjTW1R84kGKTfjHukq5hh6ON2nocL990JvSqyChEC6B0mEyryOFSQEWYYC2h8vmVrJa2QB4eSfgS1yc6fXqaw34JJGgWSV0u3YQjWJ0AOoozXO4auv1eKiRo3TGjUeys1z+zwA8JJqFT6RvseL2jE4Iup6dKy/jFp8qMSuVQ4/iyAiIip3PEqsDh2yvZE4cOAADAYD6tevDwA4c+YMlEol7rvvPv9FSFRqOE+sPlLPAQB0VBxxuk/RZzCSTOU8c2KlEcKjOVYqc8VKITlcqNgcg6QwJlahQi5iLSrnt/OVDQZcghpJSiXicAtCCEvszsRpLuEqVKhmGkpYX6vDWhRUrMarFuBD/TNFXtfsAYVxHuDKoPGIz1tkeWUqGKD3cNFic2XK0+Rl5eFrHh7hvfJY5SUiIipvPLoD2bJli+X7L774AhEREZg/fz4qVKgAALh9+zaGDRuG9u3b+zdKKlf8N8RKoKdiD46K2rgiqvjrpACA+yXvGnjUVjhfw8oTBqvEypNFeNVWb64CeueJnMJYNQoWwqthdbEGY3KUrFRipuZLCPGMi5t/gSSlsbpVxWAcAlhPa0zuzmiMQxGfU63FcsNDuCjiPI4HAGarv0BrxUk8lD8dmQh1+zhRJlphFLy57iSxREREVPK8nmM1ZcoUfPLJJ5akCgAqVKiAiRMnYsqUKX4JjkpOWbxPe1SxCzM007EtaLTfz/2YcrvdtpJ4i8zXsE6sDB61W7eKUtI7TWLNQwGDZc8SN7MKpsQqXalAC8U515U4ZTa0pvbuVUwVq3ragvWw8k0hREtZeEm1yuN4AKCr8gCipBx0Vez36vjCiuqoWNKs/z453YqIiKh08jqxysjIwM2b9p/OJyUlITPTvmEBlW7+vIcsqfvR+xWni/HsBS+ij3InAC8W+TWRAfwcEY41Ye5XUXRWc6w8SXxUViEqJIPDaowQABTGqpG3FatIU/OKNIUCOqGE7OKHXlF1FQAQozfA3CqjisGAKIMBBknCObVx6xfqGeii8Gzu0u6gERis3Gh5rJA8+zmVovzJKeufkIGZFRERUankdWL12GOPYdiwYVi6dCmuXr2Kq1evYunSpRg+fDj69+/vzxipnPFXdczbRMf2HDI+Vn2PQcpNNttrSUmW76tJqQCAGMnzDwwMAN6tFIOPK1XEm5UrQRaGouMxvTcFXQE964CnBKAwZQqSk4qVgLDMsQpykVjJwvFzUQZjYpWuVEIPpcvk5L4gYxUpzlDQ4VCCcZ4VYFzPCgBipQw0Uly2O74ocdJtyxw343nLYWJl9UfjKoklIiKiwPBslreVb7/9FmPHjsXTTz8Nnc54c6RSqTB8+HB8/vnnfguQqDh1VhzGU6rNAICfDV0s29spj/t8bhnAO7Ex+DM8zLJNIdxrnW5QGBMXY8XK/c8/JAhohECeJEEyzaNyvKNvFatoU8UqQ6GADkpIRdzsG2SBLJUxlji9bWJZT6vF3pBgyzwrf/BHwl3aWP+EmFcRERGVTl4nVqGhoZgxYwY+//xznD9/HkII1K1bF2FhYa4PpjKjOCbJl4YbQzX0GK9agFgp3e65nordfrnGtArRNkkVADwp/Qmgt9NjzO92iJQDwL3mFYV/RmoBGJuXO6mOiYKugMEeDjU0izIlVukKBfRQwn4lqgIv/3gAWWrj9aoUSqzMFStHa1l5S1EosYpENiaq5+A3w0PYKrew299Z84pS8GtqYf0jNpSGPyAiIiKy4/MCwWFhYWjatCmaNWvGpKocKk0T+P3pSeUWPKPaiEeU++yem6GxX/S2r8K+mUVRFkeEY250JABgXEqqZXsnscet4+MUyQA87wp4RNwNtSkluEd52XkSK5m6AspykRWrQ6Y1otJEGB7I+xqn5BoArIcCKqCHqsjhaRtO3ESuyphYWQ8FBIxrWQHAaY3ab4lM4cRqjGoJ+ih3YZ7GcSW9LPyKS+BQQCIiotLO64oVUaD5MuQrTkp1vZOVLzUzinz+tEaNyyoVjgQHYXFEhKUD3qupaXgsMwsTKlUEAMguciRz9Ulr+q8GArJw//OPr/X9UFPsBQD8W70C2dqvEaKxX8RXMg0FdNUc49/aUXhZ9QcWGLrhJipatkdZN6+A0mWnulyVsYZWuGJ1t1YHlRDIUCpxU6lEnMGALEnCnOhInNJooJeA5nla/F9mJmINjtflKkxRaP2uatItt44rzZ0xrWMT7r0NREREVMKYWFG58KryN3xlcL9pijfzigr7OyQYiyIjcFGtxjW1/Z/S45lZeCE9wyb9c/ee2JxYBcmezbHKh8aylpVOAv44cg3D2tW22UcAgGkoYIgQEE4aVADATVTEB/ohdtsjZWOClKtQIFcoEemiipLnJLHSAKit0+GsRoPjQRpk6fR4tUolXFUXzLnaFRKCXyPCMSw9Az2yc1DZUHQDkMJc/aQ3nUxC7Uplp9rOoYBERESlExMrAlCyn9b761rWydHr6qUeJVaO1JGu4bqo6HpHAOfUarxeuRLyFMakRyUE7s3XIl6nQ+N8LYKEwKNZ2ZBQqFW2y4qV8b9a03/V8HwOlMZ046118kYLISzNK1x1BbSLz5QmRsgCCiEgSxLSlErEurjX1yvzAQAVZfukqGm+Fmc1GrwTGwMDgHyFAtV0ejybkQG1ABZFhuO8RoPJMRUwrWI0XktNw7MZmU6jtq1YCRSeLaWCHh0VR7BPboAMhGHqxjM4dOW23XnkUtrWnEMBiYiISicmVuR3yZn5RT7vzX2h3iDjq83n8NA9lSzbCg8FjMVtDFBuw6+GjriFKI+vsTloLPRuDLsTAN6rVBF5CgUqGAx4LDML/5eZhbv0zispKiGglyRn7STs5JsrVl40l9CY3hatJEHhJLlSKvIdnl+lkKAvIqEwv+cKGNeySlMqcVuhctHpwQCD0pjIRTkYztc+JxfLIsKRY0pS2+Xk4qPkW4gxDTd8NCsbv4eH4Y/wMBwJDsLkmAr4J0iDVnn5UAJolp+PeJ0OQaYYlJARjUwMVm7CENV6pIoIm+u9qlqOUarlAIB6efOhhRpbTycjWF3ws39jyREsOXC1qBcVMLIQ+OdqGvZduo1hbeOhUJTiMYxERER3EK8Tq6FDh+K5555Dhw4d/BkPFQOtXsa64zfwYJ0YxEYEFfv1Tt/0/wLRP+9NwJebzuLLTWed7jNX8zkaKy6hs/IQntC+V+T5nOUBKsn1YL3dwUH4JzgIwbKMZYnX3Zr7ozQlVsLF4rXmW2SdeY6VAISHPWYKhgJKcHTPLQRQX3kB5wGEyLYVK1fVRL3VPxkRpsQqQ6lwWkXRGWRIyjzLY/PCwmY5Igj/ysnFo5nZ2BwWgpfS0jEkPdPmFYcIgSczs/BEZhYWRkZgSsVorA8Pw3qbNvYCrfPyMDAjC+NzFuI99ULLc5WlNJtrPmbViOQZ5Qb8YOhpF3dpS6qs319ZBvp8vQMAEB2ixuP33RWosIiIiMiK110BMzMz0a1bN9xzzz34+OOPkZiY6M+4yI++3nwWr/58CH2/9qyzXWlyPjnb5T6NFZcAAK0Vp4s1lgVRxm5/j2Vmu91Qwdw+wt05VvmWxMqNduuFHpsTKy2ct8sPUxiTX08rYq/rXsYNUQEAEGqqbOVIhfvwFdh08iagNLaOD5dlm09yNhla4C+5KSQAH6Xcwo7LVzGsUFJlTQLwbEYm5l5PQvesbHTNzsEDuXkIl2XIkoTdISF4rUosPoyp4HZbE0+bmASKdd765He7LN//efR6AKIhIiIiR7xOrJYtW4bExESMHDkSS5YsQXx8PHr06IGlS5daFgym0mHd8ZsAgGvpeS72JFdOa9TYHhoCSQg8k+F+ZU5pujF2NccKhbsCejEU0Ny4XCdJTitQBlNlLlgIWKdmkotrnRS18GD+1zgt34VQU3u6HIXktGKVr5fxL9VOAPbDAHfJjSxXk1CQfH6n71VkDC3z8zE5+Ra+SErB9zeSsPPyVay+cg3PpaVDIQSWRkbgO1Or+8Luk4o36S4u1u/u5Vs5lu83nUrCrayih94SERFRyfBpHauYmBiMGjUKhw4dwt69e1G3bl0888wzqFatGkaPHo2zZ50P2yLyxKp/7D+Z92VmibddAb+ONs7d6p6dgxp6vYu9CyhNt8aym7UUrc0cK8/+TM1zrHRO5lgJFDTHsFsg2K23RcKT2nGWilW+VPS8uSFBKwEUDAN8KH8a3tC9iHmG7nat0QHgpoh2JwibkGvq9Rh9Ox3v3DI2ofi6QjR+jQi32/dD9TynP/s8XentY15Uw4qE1BynzxEREVHJ8XmBYAC4fv061q9fj/Xr10OpVKJnz544fvw4GjVqhKlTp/rjEnSHS/HwU/lYpPk9hssqFbaGhQIARtxO9+hYc8XK3TlWvlSsrLsCOrofFwLQKYxPBMuyzfndvZIWaoSaTp6nKHoh6XRTU4oo2YBv9b1xVVTGEkMn6KFyeD1PE0lrT2ZmYVhaBgBgQqWKWBlu20Y9RspALUWS1+cPlKISV2fDPYmIiKhkeX0Ho9PpsGzZMvTu3Ru1atXCkiVLMHr0aFy/fh3z58/H+vXrsXDhQnz44Yf+jJfILfuC/+33cy6KNHaX65CTi3gPqlVAQcXK3b6A1nOsQjRqF3vbsm5e8c7yo3bPCwjoTAlesPCseYWZDiqEmhcJltRO63CSJOG0IhaAcSjgOVHd5vnP9E/aHWPw8fOe0bfT8Ey6Mbn6oFJFHAgqaNgSjSyfzh04RXVqJCIiotLA666AVatWhSzLGDRoEPbu3YvmzZvb7dO9e3dER0f7EB6VFFdza0obJQwYrNrkwxk8e72ZkoQVEcbqx2AP5laZqUz3xQoUnZCZExud6b8aIXB/7RiPrmVpXlHES9RaJVaeVsQAY2J1y1AJQB6qKm8UOVTttBQDIAVRsozsQonlOWHf0c6XihVg/MmOTU3DDZUKG8JC8WqVWMy7fhP1dDoES2Vz/mcpXVKLiIiIrHh9BzNq1ChcvXoV33zzjU1SJYRAQkICAKBChQq4ePGiz0ESWYtADs4HP+PXc15Qq/BylVgMrloFa03D/awtN62zVEerQ5tcz5uAmCtWVaQUt/bP92GOldpqjpUzetNQwCAh4LynX9FkORiAuXmF8/20CmMyFS7LOCO7bg3ua8UKMP7D9lHyLTTPy0emUoGX42KRqFLa7TdcuQbPK1cjCFqfr1mcih4KWHJxEBERkXNe38G8//77yMqyH1aTmpqK2rVr+xQUUVGeVa73aP9Q5BV546wF8O8qlbEjNAT/BAfhjcqVMKpyJSwLD8OqsFAsiIzAVxWMTSuezsjwqrZnnmOld3EXbK4cmudYqYWAcHVMoactc6ycRCqEbcVKadVAwpPKpbkrYK5CAdlJZiUB0JkSqxxDFA6Kei7P64/ECjCuf/X1zSTU1WqRrFLhxbjKSFXYnlshCbyr/gnPKdcWHIc8dFfsQyjyoIIeX6hn4EnlFr/E5K2iKoJERERUOnh9B+NssnpWVhaCg4O9DogCQ3hZtQiESpL7jSOCoMWJ4OdwKOglm+3Wr3ZVeBgS1SpU0hvwdHoGFEJgc1go3o+NwduVK+HzmArIUyjQIF+LxzJdr6fliLli5c4Mq0pIt+oKCAjYV1qsPdGqhs1jjVW7dWfMQw2DZYFbiLJs96T6oZKN/3zkOGmSYT6fObG6aKjlcJ9XtSNtHhuE7eudpHsC9fLmY5OhhfvBmUTJAt/eSEY1nR4JajVGVYlFvoPXWF+RYPn+M/VszNJMxST1LDyq2IX+yu34TD3b42v7E/MqIiKi0s/jOVZjxowBYJyUPn78eISGFgybMhgM2LNnj8P5VhQ45W2o0DDVOrf37a7YBwAIlZx3FdwVYvwg4InMTLySloGeWTlYEx6KI6amB2lKBSJlGZ8k3fJ6UqJlHStXi/1KwDDVanxr1bzCVWv4AffdhVM3MvHDduOw24LmFc6P0SuM1aa5Ots1ozz5VdGYEyuFAoYi7vy1pmspDY7fvSuiss1j64pVlgjGDEM/AMBw3RtYIY1Dc8V5PK99Hd9rprgVZxWDATNvJuHpqnE4HByEcZVi8FnyLZvXmiMKPgzqozQuwNtbucfrYZL+VtQHH2VtfiQREVF55fF94qFDhwAYK1ZHjx6FRqOxPKfRaNCsWTOMHTvWfxESeamT4jCma76xPP6X4iA2yy3t9jsRZPwdbp5nTL6aaLVokurfOTfmGozLBYIBS8c+wJRYSUUXliVJQuPqBQviWrdbd8Qg6yGbnhKyZx0Hrall46vKliQYDM7XgDInVirh+J+bw+JufK3vi5Eq43pXMiQM1L6L/6l+xLu652z2fVI7DjWkJJwTd2GRvjOeUrk3RK+OTo8vkpLxSlxlrAkPQ6N8LYZaNSFROlhPCwB6Kve6df7ixjlWREREpZ/HidWWLcYbmWHDhuHLL79EZGSkiyOIAqOPcqfN4zmayYjPWwQAEMJ4N5onSbiqMv4Z3KMrvo5xKmEeCuhqjhWgt9pF48UYMHPzCkeJ1e1sLRbuPY+I+sbHwYVO78maSObEKkchQZYdD3KUICHfRcUKkDBZ/6RVYqXAbrkRHtV+bLdnPjSWToJb5eZ4Cu7PfXowLx//vXUbEytVxLSK0bhXq8X9pmRaJXnWPr8k5ekMyNW616afiIiIAsfrOVZz585lUlWOlMfhRFIRw6eiJONcqctqFWRJQqTBgJgiqi6+Mv+heVKxUgrh1dBD63WsCvtw1QlIUkE1bnihRiD9WlRz+zoFc6wUThMrwGoooJvVMXebV3jzG/tEZhYezcyGQZIwtnIlJCmNyeHjyu1enK34ybJAywkb8PyC/YEOhYiIiFzw6L5tzJgxmDBhAsLCwixzrZz54osvfAqMyi9PG2VcSvGuYURRlKY2EhfVxpv9Ojp9saaW7javkCTAYDW/yrzNFevCVlFDAc8mZQKm6kyQLCNfBNk8f1+tCvhxd4LdcY6ohXmOlQTZ4LjiI0mA3tS8QuVmYnVK1HRrv6IWzXVGAjDuVipOa9Q4E6TB9ApRmJiSCsDY6CQfmiKOFijp5Xjz9AbkuKhWcSggERFR6eBRYnXo0CHoTMOlzHOtHPFkOBGRK1tPJ3l13GPKHU6fM/+GXjOtbVRdX7xDwcwLBBvc+NvQS8YKjyfDACuEFiQEanNXQCf71lQkIhWARgAf6Qdbtvdt7n61CgCUsvGfj1zJebt1CIFchTEhaY3zWFLE+Trmf4FKSMdFUdWt63v7r0yIEHg/JRVPVY/DqvAwvJyWjrv0Bjyt3IgfDD2dHqeEDIOLDo3+pnDj96U8VpuJiIjKIo8SK/P8qsLfE3miNNwImocJXjPNr6pWzImVuWLl6ioSJEs3P08Sq071Y/Fcu9qYs+MiNEUsECwEEK7IQiqMiwMnC2Or9U/6N8Gg1jWx4lCi29dUmOZY5SokCCdDAXVyHmRTHA/gQpHnuyzicBlx7l/fScMJdzTRatEuJxc7QkPwfXQU3k9JxTj1j/jD0MbpMWroTYlVyVeuiIiIqPTzeo5Vbm4ucnJyLI8vX76MadOmYf16zxZvJQoEc2J1w5RYVS3uxMqDipXWkli5f35JkjD+0UZ4rl1tl10BVQpjw4YgISzvg8KLPEFpGgqolyRoDY7b2ecL478RkhCIEP5twOBravNymnE9tJXhYbhiqlzuDR7hdH8N9HhTtRjbNK8hGplO9/Mnrl9FRERUdnidWPXt2xcLFiwAAKSlpaF169aYMmUK+vbti5kzZ/otQKLiUHgoYFV98XZdMw8g07mRDqRKYQCs5lh5cJ0x3eoV2bxCkgAhGSznN6/T5E0VUWm1kK9Wl+dwn3yDcXu4LHBdVPL4GkXJQcH8sFxR1Nwox5rnG6tWeknCf2Mr4Yay6GF+v2gm4N+q31FDkezRWmq+cGc+YnEu7n35VjbSc4uvWyYREVF54nVidfDgQbRv3x4AsHTpUsTFxeHy5ctYsGABpk+f7rcAqfy5naPFscT0gMYgmYaR3VCW0FBAU7KzTW7sKjDkmtKwICGQJsI8uk54kMqSWGmd5EqyaQ5XkFU5xJubc8kqscrXO06s8gzGxiOhQsYHumc9vkZR/pKbYZXhQXyiG+RyEWVn/nM7DRpZ4J/gIAyrWhnJSuf/JDZUFDT18GUYoiecTV2zVlxVrYRbOej4+VY0+4CjEIiIiNzhdWKVk5ODiIgIAMD69evRv39/KBQKPPjgg7h8+bLfAqTy56c9Cej91XYcSrgdsBgkAFmShEzTjXRcCVWstC4W+wUAoTB17fPyjrmoihUAyFYVq8J7eNJ3RkBhuZb6xi6H++QbjEMBw2UZ11HR/ZO7QYYCI3X/wSzDoxiu825R8kZaHX65dgN36XS4qlajX/WqeLdSRRwICnJ9cAkQbvwOFFditfdSavGcmIiIqJzyOrGqW7cuVqxYgStXrmDdunXo1q0bACApKYnrW5VBgWjkuO1silv7FddApxTT0K8wWUZoMU9mMS8QLKSiryMBkE3t0IOFwE1RweNrWZpXOKvimBI3jRBQSL5VXszJX/W94x0+ny/nAgDCZAG9KL6OervkezFI+z+Hz72nG1LksXV1Osy+kYSaOh0ylEqsjAjH0GpV8HxcZSyNCMP60BBkB6jTqTu/lcU5FJCIiIjc53ViNX78eIwdOxbx8fF44IEH0KaNsZvW+vXr0aJFC78FSGRN47SJuGdqSklINSVWFQ3FW60CYNWk23UiY65YBQuBV3SveXytI4Z7ADhvXmFZx0oIXJarGDd5OZQuyDRWLV+SHFYgtbKxYhUqZOiKuVW5QTj+58ydtOMuvQG/X72OOddv4vHMLKiEwJ6QYHxQKQavV4nF49WrIqWIYYLFxZ18v7g+E2DfQyIiIs94facwYMAAJCQkYP/+/Vi7dq1le5cuXTB16lS/BEflmzc3bq0Vp/xy7XbK40g13ShXNBT/fBmFpWJV9H6SJFmaS2QYInFBeLa2FAAkxPUCAORKjhMZ6+YV12BsKOFt1SPY9LryFRIuOljI2TwUMFQW0JfwGlBmJ+RaOCzXcbmfEsD9efl4PyUVq69ew8CMTDyQm4eKBgMS1SrMjI6y7CuVUJXInaGAcjFlVlyOkIiIyDM+fQQbFxeHFi1aQKEoOE3r1q3RoEEDnwOj8s+bG7cXlav8dv2SrFiZF4yT3bghl00VK5WrLMzZtRRqALCsh2XHVLHKlUO9Or/ZBVHN0rkwX5IcLmYbkrzP+F8hYPDtnxuXHDWwSBehOCrq4F3dcx6dq5regP/duo3vbyRhSpJxyOpvEeG4qirZ5NCtilXxh0FERERu8OlOJy0tDVOmTMHzzz+PF154AV988QXS0wPb7Y3KNxX8lwTdMlWsYkpiKKD5DtmNOU3mrn1qU2LlaQKqMKVxBgfzuYQoGGqodpC4qRT2/yTUqxLu8DpLDB0LKlaS5DDOyGvGanaILEMu5sTqqoi123Z//kzkQ2NpK++NVnn5aGtqy25dtSoJbs2xYmZFRERUKnh9p7N//37cfffdmDp1KlJTU5GSkoKpU6fi7rvvxsGDB/0ZI5UAd2/OJqw64bdrSm5mDNZ7edtW25GCipXnQwEX6f/l9LlMEQK91Xyfc3I1pAljB013htzJCmOip3YyZ8gVSTJXrCTUkm442MF8fvv3smujKjaPj4zvhj//095xnFC4rFjlmroghgphSaw+esxFy3kP9G9R3fL9dcRgoPZd/Ec7EjkiCPPVT0IL43vh69C9V28bPzBaFR6GC2oVBij/RjvFUazQjENDqaALqjtD9zzhXldADgUkIiIqDbxOrEaPHo0+ffrg0qVL+O2337B8+XJcvHgRvXv3xmuvvebHEKk0+WH7xYBe35+3kKmm6kxF2fOK1VFR2+lz/8h1sFJuZ3n8sHYybsrGuUyyi66AQghLV0CVbKpYeZhMmitWeknCvZLtz8u4QLDx/EqrxEpvakKhUSkQpikY7hYVqoaqiKYNwS4SqxyFcVuIXDAUMEyjstvPW81qRNs83i03wu9yWzTJ/x4Lgp+ybPc1R2is1eJf2TmQJQnfREchTrqNnzSfoLniPGapv7Ds548cZ8GuS+jx5TYkZea52RWQiIiISgOfKlZvvfUWVKqCmySVSoU333wT+/fv90twRIDtjaM/KlYxMFYfbpkqVjEl0LzCnBx5UrHyeo6V1Z91lqSxeU6IguYVKqtQ9Abvbs81LoYC5po2hgjZ8rPr1bSqV9dy5O5Yx8MUDYUaZfhjQd8Rt9MhCYH14WE4pVFbtkdLWT6f29r4lcdx8noGpm4461ZjiuLrChj4klVKVj5WHk5EfjGvM0dEROQPXidWkZGRSEhIsNt+5coVy8LBVHYEYtiPr9ecGR2Jl6rEYlNoiEfHhUhaAMXXvMLhfa45SXJRsQIK5lipvBwKqLBu7l7oerIAhOX89hUrwPEQzSCV41isK1Y6BwlqrqkqGCILyKYbdbVSge+fbeXWa3ElSO38PXI21PR57eteXaueTodHso1dDn+OtP43ruA6/sxx8vUGt05YVPKVnqtDjlbvx6hKVv8ZOzFq8WF8ufFsoEMhIiJyyevE6sknn8Tw4cPxyy+/4MqVK7h69SoWL16M559/HoMGDfJnjEQWsZKx2pSoUmJmdBR2hobgtSqxWBIR5vG5SrLduvnTf1ddAdVKBWRzRUn27s9TaZNY2SaNQgjLUEDrOVYGWbbZp7DV/2nvMLkKskqsRi0+bPe8uWJlPccKAB4uNJfLWxo315aynmO1V/a+a+n/ZRqrU+vDQpFnfm3Iszzvz9bnkpszw5xdMjtfj2YfrEeT99fbbNe7+fteGuZYJaQaE9kNJ24GOBIiIiLXvE6sJk+ejP79++PZZ59FfHw8atWqhaFDh2LAgAH47LPP/Bkj+ejUjUyX+xy/VvLdHN0danQ2qWCoVQPFFQDA1tAQCKs7v8kVKyDRg1bYOgDpPlSsCg9JnKR70vL9BP0zdvsrTEmMqzlWCoUEQ6GhgB53BRSAyrJulv1NtDCdX2mVuOlcDAWsWzkcXw2yX/g7UzZWbi6a1sMqrGCOlWypWPlTZIja9U4AchFk+d7Ttu/v6IZbvr8vLx/VdHpkKRTYaqqUqqze48nrTnt07qIoJHfbrTve6Xyy8e/GYFWNXLDrEhqOX4s9F275JcaSUhqSPCIiIle8Tqw0Gg2+/PJL3L59G4cPH8ahQ4eQmpqKqVOnIigoyPUJqFTZciq5xK/p7s3Soj32Q04Pm37HRt5OQ8u8POQoFHi2ahW8GRuDxRHh0BZxvihkI81U6VAIgSjZ84rVDvlem8czDH0Rn7cIdfJ+xGlR08ERpjlWbg0FNCU+pqGAnhdBBNSmg2RHiZXl/FZDAQ1FDwV05pyhFgAgx8lixOaugCFCwPcWEraa14iGWuneOU+IWpijfwQTdYM9nqf3q6Gj5XsFgF7ZxoWQV4XbV0ln/X3Bo3MXRZLcXLjZyS6Ofm/GrzwOnUFg9C+HfYqtpDlqjEJERFTa+NyeKzQ0FE2aNPFHLERuO2dqHtAwX4ueWTkYWrUyklQqrAlXYU14GLaHhuCrm8kOb6H7KHdY5ldFyzI8WfL1L0NT/Ff3Aq4jxuHzztZqksxJkosbZSEEDOY5UF4OBZRMiVUu7CtWQljP4Sp4dyqEqa32cT+Tk4Tx3YtVpjh8vqB5hf87LEiSceikm3vjQ/2zAIBg5Be55x65AR5QnLI8Llzh6p2VjdnRUdgREoxMScJufUuP4naXQpIguzXHyvH2og5157xERETkGZ8Sq02bNmHTpk1ISkqCXOhT/zlz5vgUGJEzOgCX1MZEoK5Oh2p6A35LvI5FkRFIViqxIiIcf4WGYFdIMNrm5tkdLyDhlsJ2GOCbuhfwpHIr7lMYJ8lP0j2JN9W/2B07RPcW3Km8XBcVbR5Lwv2KlXkooLli5c2H9RrTZUThOVYQVl0BjeevEKrGk/fX8PwisG1e4ShhyTUNBQz1oiroDpXC+Zvj7Jk8aJw8Y3RFVMYDKEisRKHEqo5Oj7u1WpzXaPBXaAjyMzxrnuIuSXJzHSsnKVRRx/pzLlhJYMWKiIjKAq+HAn7wwQfo1q0bNm3ahJSUFNy+fdvmi8gVb2+VrqhV0EsSQmQZcaY2zFGywCtpGRh/6zaezDDOKfvNwVAt85VvF2pcsdrwIN7VPQedUGKh/mEsMxQsintVGOcPaYXSJurDch0AwFE53u4KM/R9sdTQAcO0bxivaE6s3Hh95oqV0oeKlbkNOiT7jnDmdu4KU2I15YlmCPJgfpo1jWy1jpWDV5djMxTQ/4paY8u5on/zftJ3cXmGzjm5AIBdIcHQoHi67kmS5HQYaF3pKmpIxoYOzvbZfCrJ8n3hJMudipUnQ0KLWykKhYiIyCmvK1bffvst5s2bh2eesZ+oT2VPWbpxuWiqVtXR6Rx+MtA1Oxc/RkViX0gwHM3sEQBum4YCVjBVrAQknBS10DB/LvRQQWV1szxJ9yTCpTz8LTe1Oc8L2rF4UrkFvxg62cWQg2CM1b1seSyZInXVvAIADArzUD3vkh0JgNqc5Nh1BSwYCmieY+VLzmOuquVLjjvYFVSs7J995N44rD1+w+trC4Ei51gV+bIGL8PJha/hgFwPm+SWeEX1O1orTmOt4X4cEvfgU91A/Fe92OnhLfKM1bmjQUF4CMWzxpJ1MS4OtzBJ/R3mG7rgrKiBjUFvAgDi835yWn36avM5y/dC2P6NezLcs7ikZmuxYNclPN7yLtSoGFrkvqxYERFRWeB1YqXVatG2bVt/xkKlkDsdBb3l7b1SomlR6rt0jisFjfPzoRACqUolUpQKxFq1l46CsVOaudV6tGmImvk2U2/6k9Bb/WloocYiQzu76yQjGl8bHnMvaHNXQJdzrACDubmE7O3NZEHzCqlQxUqgoDmGtwsQW7NOrApXrHQGHfRFzLGaMbgl6rzzp0/XL2qOVZHJwz0Po4e2oHvpIW1d9FDuxSpDGwDAD4aeaK44j11yI4eHN843tke5qFFDp9B5EblrEgoqVu8EfYc/K1/DgbBlqGww4OINFWrr9FDD4F5L9kKP3RkKWNypzBtLjmDTqST8uDsB+999uMh9ixjxSUREVGp4PRTw+eefx6JFi/wZC91h3G23Xth107C1anrHlQINgOp6Y0LxWuVYDI2rjIOmLoI1JePwqDSF7VDAojrFubeakHMVwzSW1+rOHCu9paLk3RwrrSLEaiig/XtkrlgpvFyA2JrCKrEq/D7l6HMs3zuaY6Xww91ykYmVB+dJQwR+NnRBJoyVEx1UeFk3GvMN3R3uX1GWUd2U2N8IKroZhrckqSABWht3A6vDw2CQJFxXqfBRjHEOXzC0Xi0iXBqaV+wytXxPyXLj/WPFioiIygCvK1Z5eXn47rvvsHHjRjRt2hRqte16Ml988YXPwZH/HbicipY1K3g0f0IIUarmW1w3Vayq6p3Pbaml0+OKWo1/go0J1X/VKqy5cs2ylpKjoYDOOJo75AkhhNtdAQ3CAFlhWoNKFN1kwZnLwY2gNt+rFq5YCQGVwvikQva2nXsBpWx8HwtXrDLzdPhu23EAxjW13Fttys/8lDw4W4S4rk6HRLUKtzTFU7FSmIZXSppkbAsNgUIITEy5hfGVYrAnJBhn1WoE52khILD51E1MXH0Sk/+vGVrWrGB3rsI/49LQvMKTf1FYsSIiorLA64+s//nnHzRv3hwKhQLHjh3DoUOHbL6odHp85i5sOHHTo2Ou3s4tlli8zdWuWRIr53NbKhda9Pe6SoUEtQoCEo7Id1uGAlZwo1udAr53tDNXrCoqil6IWS8KVuCKFl5WQiQJuXKo6Vvb90EhDJAkYyJQQRh/rr7cYjurWH34xwns2r4aABDiZnmkWlSwD5HY81fqoDXY/vy/1D+G93RDEK8zvo+31UWtmuY9SQK+2HAGqvCTAIAHc/PwaFYOHjB1utwdEoxgKR+yDDw3bz8uJGfj1UWO/+0tnNC7k1eVpjlZzKuIiKgs8LpitWXLFn/GQSVo/Ymb6HZvnM22UlSQcsk8FLCoilWb3Dz8FhGOeK0OIULgZJAG59VqyFAgG8FIL9Ru3dn6U4B/buqaSRexC/aJTmE6Q8FN+pOKHXgHI7y6nmXxX7uugAJa0w+7InxPmBWioGJlnVjtuZiKGNPcoxBhTEzuq1UBz7Wr7fRcfZpXx7d/nXf72q5+Z4sjGXhf9yzmGR4BALTKvQVE/YMMTS5mqqfiFd1ov15LgoQ/jlxDtVr7kAmgQ67x5/VAXh52hIZgX3AQgqFzb46VFxUr66G6hZtf+IMnPx02ryAiorLAo8RqzJgxmDBhAsLCwjBmzBin+0mShClTpvgcHJUOQSrf5+L4S44kIU1pnmPlPLHqlp2D0BtJaJmXj09jKuBkkAZnNWooYcAY1VL8x9y8wmDbvMIRyQ8VqxhkAgiFwUWappONVSqVEJaFi72Zi2ZOrCSF/VDAfNNNqtLJHKuZT9+HoXP3YmI/1wt/79I3A3AY+QoHzStMc7nMHQGXvVKyzW6Ku8aSm18dwD+4pFajh3KfcYE1AMPm7sWQtvHoVL+yT+efs+MioMhFTkgSAAkdTC3ezY0zzmnUCIbWJoGMCXdv+KijxMogC+TrDQjV2P9vQRYCigDWjZhYERFRWeBRYnXo0CHoTMNfihruV5rm45A9T386SocTHARikIFbiPI6jsX7ruC5drXdbmJQS7phqVZFGGREFPGpuwJAB9OQqbtMCdhNpQqrg/4HA4B0hXFB3Iqy6zlW5oYGvlCbkjODi5cqa1MBFCy86y3LTbBdxcoA2fT3qba0W7e9Vod6sTgzsYdba0RliwiEoWCO1cX/Z++s4+Sozz/+npm1c7+4h4SQQAiuwV2KW3Et2gKlOBRKC79SpFjR0uIUdydIIDghQIi73V3ObWVmvr8/RnZWb3dvL7mEeb9eeeV2x74za9/PPM/zedZ2MqDUqGsLmZsXCEFEKEnrrB49bVtOe/TrTE8rKVccsCm3vDUn4fl81RHJEnyjj2MbeR5vattHn48Y7/3VHiWmk9W0uQ1Mm9vAklsO6vWxPUUL0SSJUeEIw8zU19Fh4zt4hcfDOKkzxoiirCB5NVtixCpxnYPu+pQ5a9qZed0+lBfGCrQ+F6lhjYBXRpIkwqqOL/5mjvuT4uLi4uKyAZCVsHKm/7mpgBsu2ereZEL5Js+/OdHzAeeFL+JNfYecxrGgvoMXvlvB0dsMy2j9idIS1pj1VQO1zJuyWs5/VlPgVllGmOdUlsYV8PLIWWwhLWKavmXGx0qFz0yH6yliVbvKsB8P9MK2zavIjmhUXLRNihotpLNbz7jxrm5M5K1UwD3+8RGDywJ4FBnV7MdVIHQuj5xFMjubPRxRnVzvx/xmy8FJhVUqDtx8YM8rOVBkiaPD11FIiE4K7OcDqhdFCDRJoknJredYj8cuXAzAdsGg/VylrlOuabQoCrJ/LU7Zk8olMbHGKvH9ZbVWmL5gLQdvMTiuxirXM0iN8+WecN3bHLnVUE7ZaQSH3vMZF+45lkv3HW8vd80rXFxcXFw2BPpPjpfLOiNXm3MnJ3o+AOBSz3O92s9lz88ilMaEwolAYq05ga3JcBuIOv9Zwsr6v1TT7ChKsnnjs9oeXK2egcjDxyTTiFVYGILR34uZrN8rR63UJZVpc+qjCx3mGEoeJstCGELXWWO1qjWIQKCb0bICXeBLiJz1DduPqnSMDT764+4J6xyyxeCs9ilJEgI5RlQBNFJBlfneqlcUlD5oFKwULAFg62DUyEQChptW77K3MUb0pBIgmUSs0nH4fZ/x08r0xiu95YXvVnDTG4ZRh7O5MeTnO8vFxcXFxaWv6dWMMRgM8tVXX/H666/z6quvxvzLhZtvvpltt92WkpISamtrOeyww5g7d25vhuiSIevT9OutH9dkvG6jKYqqtMzrniznPyuqYP1vRbKe16bmRTylw2Ne4J4iVmFzch4QOverh+R0rAKvYtu7I2tc9dKP0YVmxMpoIGxch1699CIasYp3TxSmeUWhEHhZN8LKmUKmaoKR1UUJ62R7vqnEyiIxmAGmwK/zKEZPqTxSJLWhBFYBsGUw1iFygCnoJG9bjEhKVYuUS4NgJz+vauOsx77JapueSDYCT4qLLctw77QF3P6u+3vg4uLi4tJ/ydkV8O233+bkk09m7dq1CcskSULTsr97+/HHH3P++eez7bbboqoqV199Nfvuuy+zZ8+mqChxguSSG/ksgUtXm5Qp8XbW6Wg0RVFVFu8vy/mvyXQCbJYtq3Xj+WnalhnvKxcE4DGnkWoPlytkihO/ELyjbWM8meUl3nfiQBbOszaKvU7CFFY+IeyeXrkwpLyAlS3dCN34CtEkKeZYEhJjPYv5GijQdXx9IKwsbZBKI6xpCyZ9PtubCOmME6o0Y2cNiiGs4qNa6Vjd2s290xZw6k4jGVtbkrD88uI7uFUSVKsaA+Pe77WmoNM9HTFpfsnrIROFVEZ263GPW7r6pl+Xk1Tjj2iCW98xRNWJO4ygtjS/1vwuLi4uLi75IOfb9BdccAFHH300q1evRtf1mH+5iCowxNqpp57KxIkTmTx5Mo8++ijLli3j22+/zXWYLknob8Iqm2PlIqysOqp2RUYD21WwPAtB11syj1gZYwoIgWZ+PDcbVJrVsbYeUUFtkTHBF5IeM4kWpnWdXwjCIrv7KtuOjKbZXbTXWHOHUbMEWY6deG+jzAYM84pshVU271GnRsjGPe6u46ew+/iaHo+lpFmhTDVeo/ocIlbnPvEdT3yxjMPv/Tz5CgVGtGpSKJTwrhlg1hiqnq64VMDkYz3ork958sulGY3L2l/8rhIMJfqAVDViquOzGulF/aGLi4uLi0tfkvMvZX19PZdccgkDBgzI53hiaG01cvorKyuTLg+FQrS1tcX8c1m3rOspTjQVMFZYzdZHcG3k1KTblDqaAHfIst0cuNJ8XloHZ2FFrHqScmFhpgLqRkRp7wm1nLlr6t5PqSj0Ga5uQo5ep/dn11HX3gEYEasg5joZnn5FkY8frt+XuTftT8BrmjUIh2mDw9q9ri1I0JyZBzJMBXTO4zcfkrvbZKYcOnkw/zltOyoL01uUp3Ot/CxkGLfUKQoBKTth9cOKFgDaQ8mvzY9+Y1xbhKL7bRLFQDRihac9VlimGOvypm6ufumnrMYXz7oQVqkiVs5zTCd0XVxcXFxc1ic5/1IeddRRfPTRR3kcSixCCC655BJ22WUXJk2alHSdm2++mbKyMvvfsGGZucu55G9iko+IVaZ72Eqeb6fzVemxEkVC8Li2bzR9zoEXIx0NoE2WaDb3YZlaxPdf6gusiFU2qYA6MufvMRa/J3vHOa9k1k9JGpIE9e1BznzsG2QpGrEKpbXuSE5ZgTduPDI+M4IgOYRFSNXpMifJAV0wQ98s63PoiXw1AE4nnC7bb3xaR7rl6hgAGnKIWCUbvnVOI6XV/Og3bOsnhYz6qjZRaH9Was33btAToqGpxd7+tR9WZTWGbPBl6hTZC1LVWMXUkbmWSy4uLi4u/ZSca6zuuecejj76aD799FM233xzvN7Y/ikXXXRRrwZ2wQUXMGvWLKZPn55ynSuvvDKmUXFbW5srrjIg2Q3fDeEm8NmeN/ifYji6lSWk8Rkzr9vVo9hPSSyyL9F1umWZNlm2XQErzH3Emy70BVFXwEzNKwxhlSse86NtpQI2dZqTftOdzycEhYRSbd4jTlHgF4IwElJcKqAVsSoQOl+LTXM+Viq0JMokk/dxvPV4KuF09/FTOHiLQTz62eLU+4oYaZr1Sn7MKzRTQdwTuJnjvUb/tIlhY7+Hhv/Cy77rAGzTjAaPzOPvfgZEnQ5XtnQzpDzzWq94olcn9sL4vesvYqXp6y5t18XFxcXFJVdyFlZPPfUU77zzDgUFBXz00UcxvY4kSeqVsLrwwgt59dVX+eSTTxg6dGjK9fx+P37zrq5L5iSbuqjahlG30Gberi5NMdFqFMlTyEp1nXqgXZZtV0ArYqWsA2H1qrYzsCClIbemC75e0kS3bggfq8Yq12bbHskDAnQp7tzkqHnFbDEip32D0UTYwmcX5cSmtDlTAfsCS1v3NnKVqi6pssiHJElpXwOhGu+3esXDscqPfKuOT7luOjpCKsV+D7oAHxGaAh1AIaPCEUpNsbVEDLLTVq2IVbcsM0huBC0qrCJq37yfJYwUz1BEZ3hV75tmJyNVxMp5H2WX/5vGt9fsTUkgeTNkFxcXFxeX9UXOtyCvueYabrzxRlpbW1myZAmLFy+2/y1atCinfQohuOCCC3jxxRf58MMPGTUq+9oSl+xZ1dLNc9+uyGlbKxVworSYQTTmtI9MxUMEYyIJUKonlyhrSS2swBBmLXJsjZUcLz76gI+0rQCIICftB3TvtAUc9+AX/FxvLPP30rXPIxv3TGQpEhPFkaRon6xOYTir5aJLKot8/HzDflQX+/DZZgdxESvzOhf0kdlAvqIYqYSV9Wy6mh5dNSJW7YrMWd6Xch7Dgnqj9k0XgsnSQjsNcPNQbFTRGklACIrMj0Cxtz5mnWyt1OOxhGr8aUc0wfZ/+4Cpt06jtbtvHAJTNabWHe+hsKrz8vcr++T4Li4uLi4uvSHniFU4HObYY49FzmPC+/nnn89TTz3FK6+8QklJCWvWGP2NysrKKCjIPbXFJZb4CdN/Pl+S874ERj3IG/6rARgZfCr3gfVAq/lek4SgJG6y3pMEsdZvd6QClpt3/d/QdsjvQJMgzL5SmgRv/LiaSXHmDJZjm2aKPMO8Qs5dWnkrQAVFisQKJ0cqoEb2tVtOivweJEmKRqzk2IhVt50K2FfCytjv4LICthxWjt8jU+iLntNujqhaOlKln1kXP12NFbqfAjPNtEHJ/XpaYkYIKJKCtnHF5qH49MLotSxVZToVHa+3CRzO8r0VVhbxpx12RMJWNndTVpBbxCikalz/ys90hRNvjqSMWK3PRnsuLi4uLi4ZkrMqOuWUU3j22WfzORb+9a9/0drayu67786gQYPsf/k+zq8dKcvpevpUK4nNpdQ1KPmkzRRExXq0ne+tkWMAuDZyWtptS81cojZFTmgQ3EXf9sS56sAJtnteT3brmhy1W+9NxArZiHioUuxrN1Q2blb4BKh5aIoshMBvHaKXqYDZZj1awkqWJV46byeeOTtWIBd4MxM6Z6VwXbQiWenMLUCy653q40xG/vXRQvvvx2cs4bB7P6O5M3kdlrD/F/gI8VOcsLotcpR5tCilqnFfTPV0x+yrr9zIx9YWO8ab+0Ge/GIZz3y9POmylH24XIt1FxcXF5cNgJwjVpqm8fe//5133nmHLbbYIsG84vbbb896n/ly+XLJju+XNfdq+3Xle2HVV5U50gDv1Q7jQe1gIj28la1UwFUeD6o5Ya5YRwXxe08YwL9ejUas0qFKUVdAo8Yqt2M2tmsggyaJmH0c6v2Ue/HZroPQO8t8IcBrC6vY9LBu2xWwb66zM4phpZNOGFjKmz+uSbtd/NfMiTuMYEljF49Mj71BYF22nnpj1WoaS/BSrygYV9NY///ensO5uxuugde+8jMAd3+4gKsO3DQh5c0aky5AVtppVRRkIRgbCbND8G7WUGWOKTr4Es0Qcl5v7Oc3XxGreEbXFDF9QWJD+Gxp6EhtmpJKWKmusHJxcXFx2QDIWVj9+OOPTJkyBYCffortj5Jrwb3LuiH+5fl6Se7CSiAhrQPzB0g0rnhemwrQo6gCwxUQYKnXWLdA1/vMVCEeIQSSMC56T1fKTgUUxgQ92+hi9KAec38iRkhYrWZ9jgbEvUEAfstuPU0q4E2HJW+ZkIpMzjqZXjtr6mhue29e2u2mDC+PPZYkMSFJE2breyxdwGpYZQE1WjRiVUCI7jQR0Je+X8GTXy7lH0dPjltipQIKIv4WAIZHVPwCWohGippFCcWSkfc3QDWu9yjvPKY59qTlIEKcN7WsP+P3ki9xk+56phKx8efkyiwXFxcXl/5IzsJq2rRpPa/k0i/Jp+yN3p/ve1rjhNUb2vYZb2tts8xjRFYrE+za+xYrebGniJWVCugXvRufIkeFlZOweXy/EMzWc3cFtBBC2OYV8RGroGSaVwiBV8nuXZLJJD6ZgAikSf8bUl7AU2dtz9CKREe7ZKOz5vjpUwGjzXrrFYXJ8iK+SNOzq7nLuEYXPv19zPPOiFXIbxiYjI4Y6zpvHJwduYS/ex/gVvVYdtMeBQLUezxJ95UNzm3aghFueWtOQiqlpiWKr1zI9GaB6viMrmzpTrOmi4uLi4tL/yBnYeXiAlbEqnf3jzOdcls1Vla9lCeleXkiVsRqpRmxqkjhKthnWDVWkpQ25VWTzD5WdtPd3A4nm81/rYbE1mQ2bO7QK4TdW6o3k2RdgNeMxknxNVaOBsE9pdPFU+BVmDquBl0XKdPPso2glAQ8jKgqSrosnQdPT2MfoBnnXa8o1NCS1ZgshOOPTl8bAGNMYeWMLP4iRnBI+G8AHGZe7vgUxFxSAZ1b3PTGLzFGFRbx1/vtn9bw38+XcMexWzKwLPM6xXQ61fnZCPaRbbyLi4uLi0tfkbOwuvHGG9Muv+6663LdtcsGxCR5Cb/zvNbnxymmi3Zz9ms5/GXTfyq+71XVOo5YIaKzSZFm3LGpgLkrHlmyhFXsPkKmSPDnKQ1SCGHXWKVqEBwQIrXzXhoeO307AEZe8UbM8xWFXpq7Imw/qjLLsaZelk48pbNbB6ixzSs8DJGCMcuWrO1kZHVyMZdsbLoQtPs7ARgdtq5n4vE3qS1mhGSImTqPghfNjmzlkrHnFGPJRBUk2tv/7olvAbj+1Z944KRtMj5WslRxBY2bPQ/jbdyZ/2KkjYYiqW9+uOW4Li4uLi79kZyF1UsvxfZsiUQiLF68GI/Hw5gxY1xh1Y/Jdw3ceDnaA6uELtrpffNQIQR/feMXNhlg1JcMkJrplCxhZUzwWul5wmqPK0FYGZO297UpvR6rxbDKApY3JaYsmd519uOucOoeQJY46a3wiY9YWYTzLqzAY4rGctlZq6faJiEBoWctrNKN7tULduHl71dy8o4js9pnrqYOPX1clkY2AVqoVxTGE/v67/6Pj/j3qT2LDlXXeW92HSOrCmjxGfuwIlbJeO+S3Wi6twDopklR8BIkYtZi5VZj1fM63SmETlMKp8NUJBOxB8lfcoznY1j2MRdjtGxIZsfu4uLi4uLSn8lZWH3//fcJz7W1tXHqqady+OGH92pQLvmjpSu7SU9v+TFwZta9rJJNXL9Y1MTDDpe2KzxP85kZsSo2649mpKllief98E5A1P7aElZnRS7Naqw5I6LC6vEvFvOX32yZdLUSuZVmlF73fpKs6IUkWNMWZK3pxBYxr7XPaVbQi8iYAMpFCChkT883zOQMY4EjelWoZxaxkpBQZAlNF2mjUcMqC7lwr02yHqvfmzrfL9nNBrtBcA9jv7v7JOBu6j0KxVJnwvKnvkxuLe7kkU8X88GceiSlg+JxGpIQjIqoabepkL14RRcRScLraQHVEFa5uKtmIjrf+bkuxbbZHSvZ571Cak94rj2Y+vzjzzHa1Ng1TnJxcXFxWX/kr7svUFpayo033si1116bz9269IK7P1ywvodg4yX9RNFJa3esINxcXkynOcEttqNPmU+iflY3jXlcpWkcEfozIr8fgZQIZzNeKXUqYJtk9C/yC8EaUZlzjZVHMnscSQI/Yf7x7lwgmgoYI6x6VWMlKBaGiAo6BmtF3hQh8JC68Ws80y7dnRsOnchFOQinngh4UhtbJBuddVl6ElZt6gAAVEmiVlmd09g+mFMPgN9vRH+HqioBIXhX2zrlNpIk286ABxdE0yVzSQXszXsgWyGX7HIm20NbMHXEzomuC4781+ec9MhXbssOFxcXF5f1St5nlS0tLbS2tuZ7ty45kiydZn3c1D1beY35gZOZKv+QsGxZU1dG+7BqrIp6mDlO0wwr62/16OT8SzU25a9K07NKJewNRrmU86OWpr7LdNZ7I7Izai+8Zbzm8SJIDJSa6DbfB/lOBdQdDYJDzjeWZAjjgBBI9GwAYTG8qpBTdhqZ1t0vV3LdZ89REA8e1WjIXObNTVgBTJSWcH2R0f9vTDjCzZHjOTtySZotBJPNBsK1xTPtZ/87Y0nGoiS6p+zeD850w2zfScmup4iRtsYe27ozO4eVLd18t6yF6QvWuumDLi4uLi7rlZxnbnfddVfMYyEEq1ev5vHHH2f//ffv9cBc+o6ceyNliBc1obfUVd6nAfi790F2CN0bs+zO9+fzh73HxTwXP+8XSHTKsTVWqTgjchm1kWaOUT5ma3k+ABG9kEIh0M1JnZUK2FdMGFTKL6vb7MfOiaOUJmIVMfXXdtJCHiD310qWFBAQliUEwp7MWvv35bHGyrKGD8VErIwJf4EuODV8GSdlkgrYx4I/nbBKduxog+Doc+9ePJV97/gkcV21BDwhdE9iKmCm5/WG/ypu8lUAhtV6IwHSRmUF7NzdzRvFRXxeEHXle2PWat6YlZ3AyzbK5WzOnO22PYlsPxFC+GjPUFh5HFb+3RGNIr9rduvi4uLisn7I+RfojjvuiHksyzI1NTWccsopXHXVVb0emEt+6Axlnn6XKbWkbyh8gPwVr+o72Y+3k37Jy3E7zBluUQ/CSkdmDVVxNvAyxbpOm2JMrvtaWMXefxeAjCIEmiSlTQW0xEm1yCyKlwpvzEdbt8cT7WPlHF/uCIHdaDkmYmWmAgaEzhx9eNp0ulHVRSxe28mBmw/qxUhS8/u9NuGR6Yu54oBNU66TTsA6hcC4ASUxyyx9oUXKIbCWbm8ID2pMtDEbvbjIa5iOjImoaHT0sLZgx27DhfAXnw9J6UBoxT1sk2JPWQrt2IbC2W2bTFc5bzwECPNnz3/Za9oSAlxHEH+S9aM4o2fdbsTKxcXFxWU9knMq4OLFi2P+LVy4kC+++IJzzz2Xiy66KJ9jdOkFny9sTHgu28jAJ/MbYh7XSC1p1y+SutlMWoI1/bnd96/sDpgECUFHnN16T8wWsQ1wnelvVZpGnajo9bicpJtfCiTHhy2VsNJsJz1ZNwRgrlEcxVnTJUcnm5EkNVa9QSDs62rUWFkmApawEmgoaYXV23/YlRlX7smEQaVJl7943k5Jn8+Ui/cZx8zr9mFsbWrRke4692S3DhCKVAGwxqPwL+8/sx6jxUKfKazCYUqlHsS1EFRrOuNDYYQkoRTlXk+ZdcTK8RbO9q2U7K3grL+slVo43jON8s7F7CUnmiTFozoaF3eG838jycXFxcXFJVPyXmPV1NTEf//733zv1iWPZDtX/2pxbISqp4bAN3sf4U3/VZytvA6ALwvTCov4I8gI2269SNf5Uk8dfbB4T9+ayyJnc0DoZiBaXwRQqgs68mAL72QTx8Q92VzcY81AU0WsHE56kuhdOpMsRYWVcDRS7jRNLfIlrHQBn6lbAsb1tXqLSbLhQligC1TktMLK71EYVFaQcvlWwyu463ijRu7AzQfmNE6PkvtXXSbiVlcNkV6nKOyjfJvTcVpkmSYzojoqovKYtm8PWxiv4U5m1KqgaHZOx3XsKmNia6yy23hBfTQSJ6HzoPc2jil6hrMG1nBddSUPFkczHtQMfqIiDpXXGXIjVi4uLi4u6w83Gf1XSPZRkNwm4Wd53uC/2n7U9hDhymwEwk4FLBY6M/RM0sYkntN2tx85hVVflPOcstNIps1tSFwgjCsYlTrJhZUV5QGo06vN53Ibi4KMbNaUSXJU2HbiASI0a2XR4fVCZAkheF/dDlhOUJaQTRmnWMJKCFQ8GUV90nHo5MFMGVbO4PLUAqw3pBtdJlbxesS4nms8iV+psacu7BqieJZ4jW0HqiofqtuxQtQkPdbwSvOGgLCEVTePlpdSVDybdgS5vLsz7fGloHGM8hF1S6IpkT1k5ibwv2+ife9GSnXs4P2OIwYMos68dm8XFXJPXQPbBUOEzH5s8TiHG3FErLrciJWLi4uLy3pk3XhNu2zQhNXcJ94Xe17Iyxh0KYKQLLv13Dov9bURsy9NVEQgodi9dlLcVbfqknSdu9QjezcYKRqVkqWIPbnXJOO5n/T82JnrAnRhiISQJCGbolGRjChKQPQcscqUYZWFedlPMtKmAmZwTKFawiq98+DfPQ8yN3Aqo6REc4mlZn3ViIhKOIWg2H18Df85bVvrqABMCYUI6DqdHhXZX2cv20/+iuFS8t5T8WQqrE5R3uVm7yMc9ukh9nO9+VxNkhbzv5IS6jweSjSdLYIhumWZ8wbU8HpRIXd57+E932Wcq7yach+qnj5idcNrP7PfHZ+49VcuLi4uLn2OK6w2cpK6nWUZPXjx+xUxj7PZei/5u7htc5uGyYoRAfEIkbNVeK1pWOHLpdFPJqS5MH89bFI0YiUlP74kGXfb/ULQZlrB98bB0WseRnFEwjTZmITKIn8ffaEbIiDkSAVUTFfAgK4bEas+EkT5I0mDYMn6P4uIleJBB5YETmDPuPc+wDGejwE4U3kzYdlSM2I1IhIhkiIV9P4Tt2Z0jZlyeujdgGFEsk3Q+HwoRfMA2Fv+jgd8d/KJ/+Iexw6Zi6Nk59SbiGe51Mb/So3zubypmUdX17F7ZxchWebK2mreLFXYRF7J5d5nUo7XmQrYnaSp8qOfLWFuXTuv/bAq53G6uLi4uLhkQtapgEcccUTa5S0tLbmOxWUdke0UtzflOLkKqfhjdjiaA0vklsp3eWMzf6yt5o9NLdSL8pzGlY6qokT3MjAmgUMrCh01VqkiVoYY8QtBpJf3PCQkvLaRRHSyqZn1XZY5Rj7QhQ+F2IiVLIfQyW/Eqi9Jb16RetnJO47gb2/OQUTKkYRMWNZZ41EYrGr82/cPRgafSrqdnCQddKnHElYq4RRfzTGNlodtx8sHfc9hb0xh5+4g0wsLGFT8Nae1LUbL8v2TKmI1SVrE5Z5nuEU9gU787KL8nLBONt8PetxNja5AI6s9Hop1nf07O/EBd9av5Z8V5TxaXsotVRVsHgoxMZzaet2ZCpiuxkrtqxsqLi4uLi4uJlkLq7Kysh6Xn3zyyTkPyKXvWd0a7NX2o6XM7vzWSG0J/axEjhGYjgybA6djaneQL5euQAKm6ZNz3k8qqoqjdTPxvXqEJOGxh544qZaQbAEUEIKQeZ1yLU1aGxiBL5Q6FTCfEStdT0wFlKRoHyuxIQirNMviX0tZirronbnLaLYZWclz36zg3bWlhP0tLPB6GaxGJ/jJoo5ykhsOy+xUwAgLU3w1x19HX6CA5XoNO3U3AxV0FtSzd+AHvJES1B7OK4YkH6vR0ipe918DwK7KVTynTqVOUQgInbIczSviBdyaYqMmcdeubvwCHlP34b/avrzffBkrvB7eKyrktsoKHllTzwRpKYvEoIT6NKcrYKYpjS4uLi4uLn1B1sLq0Ucf7YtxuKxDQmrvag3+6bsv43UHS00xj3ONYFnNgYuzrZSPw5poNlOSdr18IoQxuVbsCFJPNVaCZlP45CpHWv2D7BorSVLtyb0dsXIIq97MRYeUF7Cmy5joBmNSAUNogE9I5uN+LqzSKNj4ZZIk2RdNliW2Gl7BqzNX4Q1VGMLK52Vqt3XzQiQVx4kRK+FIBVT5JUWNVfxYiv0e3tO35rTI20wMhfjZ7+fQoYOoVTVWe4opEgLPmq9RWiczTKpngRiC9a7SdYFsvi7J7ld86P+j/XcE+GngT9xYMoQSTefR1XVgnmI29zri111V1ALA7l3dAHymT2ShGIIuJC5rbObjggK+Lggwy+/jLa7kQ21LTo/8if97ew7HbzeMQp8nJhVQc6NSLi4uLi7rEbfG6lfI3DXtGawl8ORgk54v4u+Ct0vRVMB80CqK8rIfJ84pb8JkWpKjEasUdutlkmFrb/R+6mUqoARCWL2wrNdR2BErSeQnFfA/p21rm1eEJcmOxBTInQBowkiP7K0r4PokXhMmOxNdCDxBw8XvF180opKq1YAcV2cnedrplo0m0kNUNaN2AgDbjaokhBcJuLNuLZODIVRJYpXXg5AkOmSZgsEvcEb1X3jf/6eYmsdt/vo+jR1GbVa6qNMaReHMQbW8WGLUQrUrMjdWV/JHz7P2uWdKzLpyF2t9hjrbLmj8b9UWKpJgkKZxYKfxPnqy1LgRsqcyE4CwqnPn+/MBXGHl4uLi4tJvcIXVRk6ySeCSxh4ajwJPev/G1/7zKCB92uB3fj8zAslri5KRayqgHbEyJ2bzxdCc9rOuKAl4GFJeQG2Jn5oSP8ITiEasUky29/F8CRg1Vrr50cxVj0iA14wWybZ5hY75FLJw9rnKfTK6yYASMM0rgrKMZPbMUmQrnOE1H/dvYZWN3Xqy10QI8AcNi/wf/X77ihYQstfZSprnOF7sNVd8hnvfEFXFC0zTp2Q07oBXsS3JB2oaj6+u4+3lK3l4dR3vLF/JKa1tADxfFWKlR+E4ZZq9bVNnmMe/WAqkjjqpwHkDa/guEKBQ17l+bSMeIZgV8LNP4ZvU0JyVLaBTWCmFS0GCkeEI1aY4ir/hcUKbcRPovaJC1sa5bv6y2jg3Z+1U+ibdruhycXFxcelbXGG1kZPLxLyKVnZWfqZC6mAnObFY3eKbgJ9TB9Vy9qABfO9P7MuTjIFSc88rJaFdjjYHBnhR2yWn/VjkmpKY+f4lPr5sdz6/Yk8UWUJ4ArZLn08KJd1GNR37AkKg97LTliRhR8jsPlaOflb5ilgBCBFNWyuXjcmuMKNkXn39pQJuPjR9PaiTdJ8TOUFYJa6sC0FRsIqArrPS6+Fr82ZDEUHe+mkNFYVeXvT/ObrPuFTAQwteA2BkEle7ngiJ6GdPAoaoGtsHQwxWNS5pamHr7iDdssxfqiqJr++TkFjY0MFvH/oi6b5fKS5ivs9Huabx/Mo1HNXeyVQzbe/DwgIKpVCWEavo357CxQBsHTI+Dx0iwDJRG7P+hHCEiSEjCvdJQWwPMys6FROxMsfSG6dCFxcXFxeXXHGFlUsM46TlfBs4N6N1ny4ptntLfVqY38at178SK+isiFWJKaz0Xrvm9bGwksCjyHisu+yOiJU/lbAy08NiUwFzEySSJNlCDklFkmLdAfNpXmFFpQAGyIYZgW6KuGjUbN0Jq3f+MJWrD5zAWbuOznibtMIqvsYqyTq6EHTq5RzSYaSuPWumzRWZ/bzCXW2x+4x7/w3wLwBgZCS1+10qmtLUC8rAn9c24dMFnxUWsLAgUbid98R3SaPYAni8zNj3mS1tDFONbXcy68e+DQQoJJTVJ8kSQ4NopKRwDgBbB4PcpR7GrqE76cBofnxd5BR7m91MIfdJ3HdMfXuILxY1xrgCarrgihdmsfftHxOMuH2rXFxcXFzWLa6wconhMOWzmMdj0jgAznPUksz2ZRaxAvCRfvI4v66dxs6wYwwrbbv1IrvGqnfC6CN9y7TL7zx2S8oLkxsIpMIZyUi4YS7JyKbI8EphkhExhZUzFbA3eITlLKgya0UrmMLKI4Rdf5V0rFkj2625fJIxQbcjVuYYPOk8y/PM+IElnDV1ND5P5tcwXb+wYn+sx08yEabrsFAM4ej2DgA+KiwkJEEJxvUYKjXErG9FrCZIS7nJ8wiLTUfAkZEIM/UxGY8b4At9QtrlI1WVwzuMcb1b0YXzs1PVtZCmluRR5G8Cfhb6fBToOkeY5wUw2Yww/ez3UUwnSxu72PHmD1hQ35F0P06sSNIngQsRZjPjycEw8/RhNFNqr/eYth9nhS8hKLxM7TKE3IyCQMw3x4L6Do578As++KUuZv/PfL2chQ2dvDu7zo1cubi4uLisU1xh5RJDfCTnKu/TQGy6DRguYcu90QmnNTHMhN8q76ddHozEHmtn+SeHK2B+JkrTehBWh00Zwr0nbJXVPtNN4iQJpDTCSiCImKmAfj0asepVjZVuFVSZ01Gz1sovBEoqZ8Icj2anOZq1VVbEyqcb57FhmlcYY75kn3FMGlLKXw6bZD6beC5W/c7q7glUqxphWWKW30+JZERbBjncMSNEI1Zv+a/kRM8HLLGFlcp96qFJR3PZfuOTPr9UDOQP4fPSnslprW14hWB+oYq38lMAdpBnc+J3x/I0Vybd5mnTMOKQjk5KHO/tMeEIAV2nQ5bx+OuN824Ncv2rP6UdA0QjVgt9XsKyRImmM0xV+UTfPGHd9/Rt2Dz0CBPCYapUjS5Z5ruAn/ibKh/MqXfsP/q8LMWaWbgay8XFxcWlr3GFlUtGxNdRLPd60ByT5dUehY4MJ89VUlvPKzmPjWzv24pY5TJNf0rd0/Fo3U/0Fct6XEpeR2OlAhYIvdc1VgABYQo1M4pk2bz7hOBI5VN7vXxMOK3IVFRYGcfyWLbx/V1YJRne8EojLa2mxM/rF+7KSTuMMFZNsu7oGiP176/qSWxrOtx9HQhQjCGsCgix3KNw1OCB7DpiKJVFP7ClZKT/hSRY5TEiiKMiEbwkF73n7zE25fA/1yemPb0hqsYVjUZkyl/7NlOK3uMZ300AjJVWJqzv8TTxoZl6d1xbbCTKC0wIGzcHtMAa+/lMDDt1AQqaHeGeEA7ztLoHbRQnXT+CBxnY3rym3wX8nKW8EbOOUzxpTnMMSXKbAru4uLi4rFNcYeUSQ6auff8pM9J2Ng2FGRGJICSJ94oKM9o22/omHTnBFbCV7O3Se2th3hPpxYPkqJpKFFYSUtJUwN7IkRqMep/9PKYxgRm58gnBYKW1F3tORDYjU+WyMXnX48wrNiRd9clle/DW73elpiS522WyerHTdh7JlOHlLBRDbGH1VcDPRHkJYAirv1RXMtfvo1OW+UdlBS/7r0MA95eXISSJUk2jStNzanMQzqAl4dHtHRzS3okk6XQMfiftjRBf2TdoksTW3UE2SVL3NSZsPOfxRVMc5Qw+XkIIiuhmtml2s1kozIo4w4pkTAka6YffB/xc7X0qZllsVMohrGQp5oaQK7FcXFxcXPoaV1i5xFDYg726xXem69l+nV12wf47GQur9MTbIusY/XjAWWPVz2fqSZBtI4fkEYmIHBVWvRWBwtwPQEiK1lpZ+xdK5hb5mSAJY2IfkIz3gh2x0nsvENcF1cXR6zG8qpAJg0pTrpvsXPwehcv2NVL1tus2RMCsgJ/Tva9RQRvC284Mh6vdXL+PZlnm+ZIiHi433Asvam5FAnzm67Tj6KqMxx9O0VA4ftzXNDYxNBJhjcfDVTVVRJNS4+zfSw3zmN+Yn+1H1ANilg83jSwUX6P9XCYGJZoQlNBtR6w2C4dZKXo+zylmXdcsv9+M5yWXSWFHLqBXkd2IlYuLi4vLOsUVVi4xDJfqe1wnDCz3GBPp33R0sF+HkWr2ZUGApgxuW2cfsZLolPPbILivmTgkdmIuSaBY9ueSlrQeK2LOSwOOiJXT8SwbhBAEzEllyLILNyfsPiFARK9jPqaeipnyJ8zmx1bEqkoYqXDr0hUwFyYNKeOqAzfNrK6uh1MZrqpUahoRSWKez8tkeSEthUbK3JbBEGPMNLpvA37+V2LUMZ3f3MKxpkGE1VT4gZO3znj8oRTC6il1j5jHhUJwU0MTXiGYVlTIGYMG0CVJFDr6bUnetRCowyMEe5qOfIvFQHv5+9oUhpm28Jq3lc2lRcZ2GbzGqiYokjqY64tGrOqo7HG7seEIRbpOpywz3+elguRNzkOO+kxZltBdYeXi4uLisg5xhZVLRjh1QKOioEsSXiGo1nRGqqrda+a14p5T9LKdYgtHxKpYFzyj7p7lHgxmicztt1Nxx7GT0y5/6/e7csk+4/jDXuMSllmmBzKq3ZjVSZtkTDYDerSPVWt39vbbAIos2xGroJREWDmd4Yoyd3RMeTwzMqXJGiAQpnnFFtIK49D9W1cBcPbUMRy0xaDcdyBF/xtniqf5Xi/XeR6ntcBIkdwmGGQbM63t3aJC5pgpcUc76pisXk6lAa993UoC6VP9NBR2Cd3Jx9oWMc9/kaT2autQiHvX1FOi6cwM+Lm/vIxyosf3lv4IwHbdQcrMGxldIhrRe1nbhf/rMswylnk9vOa/BoBMjB+vefw97ir5M2FZolg3jCuaRGq7eAsF2MKMWn3v96fshxdSo9HgUESLjVitR/eK75Y1syyDxuwuLi4uLhs2rrByyZomxSi0r9Q0WyQdZd5tf76kmJ5jSllGrIRMpxRNBbxePTWr7S2e16ZyZeQM9g39X07bAxw+ZWja5RMGlXLRXptQ4IttwCsRTQWUZI0HPl6UsK1qRntW6QOxZum59uLxyJItrMJWKqAcTQWUhM5dx0/hnKmj2X18TU7HcCKb9u26pAOabWxiGWikszPf0EgZfXO8rTcxa5Dm+3yMltcQKVgNGBErS1i9Zd6EGBcKU2UKmGsip/GpwyHvxXN3YofRlTx91g49jmuFqOUu9fCY5yIkbwS9YzDEzQ1rAXiirITbCv5hL/OYwmrfzqgQCBEV3+0UMj9kCLZWRaFVzrxX2cEND0fTAENhZKBZJDeusHhNM87dWWdVLiW3dnc6ip79+LcxESutl9Grnj6LjR0h2oKJN0KWrO3kiPs+Z+qt03p1fBcXFxeX/o8rrFyypslselvpqGc4oKOLIl1nic/LtB6aBcc3R4XYSUv8jeXDlU/sPlbFQo+Z5GWDQOZpbS/miWFp14vvW5QvZDtiFU0FfPbrZex7x8esaQuim7VXkh6dDG8+pCzn46WOWAEIDp08mCsPnJAXxz4rFVCXNZCjlTsF5mRW2oi+aXq6XJeGf8c4W1h5aZMllviMVL3S7gq26Y6tY9w+GOTPkZPZIXg3T2j74IzpThlewTNn78ikDN8H34rxqI7mz2oKYQUwtTvIpFDISFksaUZGR/I2ogRWIQvsNECINX75SR8JIkC1GR1a4THOLZP3UanUFWNcAdDWgxHNFZGzuCh8AVuawmpmwE8pyaM/8eJn2txoanNv6q2e+GIpm177Nm/+uDrp8o6QytY3vc8Wf343YdmcNcnTFl1cXFxcNj42oumOy7rCGbGyKBKC49uMCcS/ysvS+pqVmW51TtrSpLxt5fkFYdut9206zw/X7cvM6/bJ+34lSbIjVjjMKy5/4Ufm1Rl334cpRjPmLaVl9vKyguyaFFsIBIE48wpnH6u140/Iab+pkE0xqEk6kuk+6BHCrvzZeOJVac7FXPCCPpVvu3cBDGFl1RMNUlXejuzOtcELmRCKis9tgyH+o+3PGjI3q0jHUjHA/ltJEz+WgMPbjc/i8yXFbCfP5qiKewCY0h2hwlHPKKOzbfA+pobuoBFD5A1Xjdd5mdnPTs7gRVbQWGT27LLcBnu6UdJJAa/qO7FFKIwsBKs9HnzexqTrhtTY8738hR/tv+NbRmTDNS8bPbrOe/K7pMuXrI1+p8XXT2ZyXVxcXFxcNg5cYbWRk68ULOfN6Baz3qk8zkjipNZ2SjWNuX4fz5SmrpsYKyf2zUl1LMCur1JEVCz0FWWFXjxKZh+L0TVFMbUvPV1pq0GwJCWf7Ibs9LnoOeYaTBLCqqVyugJG+1g1Tjwjtx2nwEoFVGXNFnDO8+jv5hXZkElkpjBUgiwEzYrCjIIAAONDYVoo5i19ew7oNCbikhB25CZffKMb7oTdwoef9Ps+qKPTjjSfX3Y7s0qNmyNHdcTa8XvQaKCccMkI+7mhpoGFZWTT02t81wfz8aHazcRHh7OrHywSgs3M2rWOwuh3yKbSMsrMGrHGjlDSbaF3EatsiD/OxvTed3FxcXFJjyuskrC0sbPX+fj9hXz9pltz5HLaHUYSsQKhUtf5Q3MLALdVlvNYaQmtSVwCt5bns9D/W6bKP6Q9loWVBlik56Ntbv44btthfPTH3e3H6a61RDQVUEJNWmUWNM/TrzuFVe5n/ItmmHXYEStHH6uMmg5lgaIbk2tV0pHMVMCA3nuB2B/J5FQaRRXDTeHxulVLFY7QKoy/T2xt57LGZv7a0MgALbc6ulTcpJ7IbZGjOCB8M34pKl4OC92YsG6REBxmRq3OG1jLKq+HEk1nb0caIGA3LfY4HCosy3U7YpXmLbVkbSd3vDeHLb0/sdZshtwdGsjOwX8mXd/nSb6z3c1xLStfAehsLi3ibf8VvOv/EwA/rEjdn01zOGze/u5c/vDM90ndOXuLGufkqbghKxcXF5dfDa6wiuP5b1ew260f8ftnvl/fQ8kL2c4berJC96LRZU4UCpOIzyPbO9mnswtVkri1qoJdRgxl6vAhHDpkELP80ZQfRRI85svMRMIyrihex2K3p2snIVFV7OfQyYP5zZaDKS9Mn9LkjFgl23cwScSqN6i6ESlJ1sdKklLX3uSCbAqriKzbAq7AYem+MZlXpBK7znN8SduF8WZ0ZbUZ0RkXDrPcdPzzAie3tXNIZxdrReqeWbnQTiF3a0ewRAzCT1RYzRRjk65/RmtrzE2SAzs7E96DSpLea0NM4bgqg4hVe1ClhG6WmNGqWlXla21LVpLcOMWfQlgd2dZBga5TH+hmm8onOUl5D4ABUkvKY1s4I0l3fbiAl2eu4rtlyd0Fe4Mad8PJeVlc+3cXFxeXjRtXWMVx37QFALw+K3mR8sbO9vKcHtYQttApFIkpbTJwW/1a/tjYzHCzhqJZUVjs83JDVWVGfoDxBeh2xCrJ8dYn1oTpruOn8M/jpvS4rpSkxspJNBWw9+cpiBpKhCSJAoKxdut5DiHJwpgwRyQdSTIjVkLwsrYTsHFFrC7ayxAoh205OOU6GgoTw7FpeGMjEeaLIQnr7hi6J78DdPC6tgOdws97mtETK1nUqkbTuaKxGUUIJoZCnN3SlrCOFbFy6q0aM9K21qy5TCesBAIFzU4DHBVR6RCpTW6S7WkVNVTrOhc1G1GphbU/MbTkS3u53IMfabIaq45QfqOFkOg+6LwukQ2kD5+Li4uLS264wmojJ9sJbaGUukYBjAlPl52al1wmScApbe28sWI1Hy1dwSOr65CFYJ7fx2JvrONeeVyjz+tf+YljH/wi5rnOFKmHGxISEpIpdKQUE0BLWPnzELHaZ7MBKLqxv5AscYgyg1LZmJD6hEDKc3qSlQpYrjRHI1a64G7T/ntjElYn7TCCDy7djduO2TLtepMctVOKEAyPqITjGvk+rB5AhL5xoQRoppStQg9wVuQSwIhazdETXTF/09HJd0uW88yqOmqTpCZ6SHwuXliF1dSfTyEMcWZ9/kdFIrST3j00njPkvzBXH8oJbe0c0NGJKkn8vraax0tLEMCHvks5U3mDWpJHoZLVWKla4piXNXbREUpnv5Oe+KbeTmEVnybo4uLi4rJx4Qorl6yQEHSZQqcwA6FTpetsFwyxuTnJtHrYWFznfTzm8X9nJDbOtWq6inRBt+h9M9tMybcYkKyPm6wjEmJ3gm7zPJ+O7NvrY201vIISr3GtgpKEgs7uiuFo5hcCOY/+5w+etDXjRB0AYVnYroABIWyb7o0tFXBMTXGPtTNOU4qBqsaNkVPtx+eGf0/DkL35p3pkXw3TJoQvJn3xT5GzaRCJ9u3x74j3tK0cf2+dsH61KazaFRlZCvH2z2uSCpUVzV1c/sIsfFLUuGJkJEK7KEw55jG1ib2t6qRq7lYPRwb+2tDIzl3dBGWZv1dVcFNVBSPlOq7xPsl/fbck3acVSXKm40XixruwoYOpt05jp5s/SDk2gC8WNXLsAzOYV9eOECJGtCVGrKJ/rysDDRcXFxeX9YMrrFxMBH/0PJvRml2W9XkWkZUJZlrUvDhhNUKq63HbTquHla7zkT4542P2NdkYS8SkAia5+2+l6QHM1Dbt5cgMKgJ+wGgQLAGKbEQj821ese/EgSzRjChIlyTZqYAFQqCbXzG/xvr9Ah3+2NhMqaZxXksrj2tRwfyWvj3L9n2IdlKLi3zicbwAs8QYtg3dx+/D59GQpr7rJvVEDgjdzJTg/ayiOmF5iS7wmUKh0GM0G27sTHQhPOfxb5mzph0vKivMeqwREZVu/CmPPaq6iP+evh07jo5a0AshaDOvlxe4t66BK9c2IQvB/0pLeMk0CZkgL7e38aLaEWIrWqQJp7CK/Q6bPt84j7ag8Xls6gzz24djI+gAxz34BV8ubmLfOz5hx5s/ZE1rtDdZvFiTZWfEasONuru4uLi49IwrrOLYWO4nfru0iUUNHaxuDfa8MrCT/DMXeF4B4Gefj9srypM6+hkRK8u8IvNJglXoXueJNU3oySwDYiNWWpqGp/km74ZhVuPWZHbrDvc2oecnKucxLdCDkoSfMGEzauTLc8QKYKVu1Bu1SV67QXBA121hlY8mxP2d+FMUGCmx05et5NCOxN5tpQEvl+4zbp2MLTG6JvGKvgvbhv6VcpsmUcovYgTNJBdfEtF0wGJTWCXj51VGzZaHCCvMVMChEZVQuhRIAbuNq2H8wNi2DZ0iYP+tACe0d3ChWXP1l+pKPimILvei8oHvUl72XQcIdCFY1tjFbe/Os9eJN5qIv063vjOHzxYk75llsaYtyL8+WmA/jo9YOWu73IiVi4uLy8aNK6w2QpY1dnHkv2aw520fZ7xNNdGC9ZuqK3i0vJR/VJYnrCfHmFdkPkmw6jbqlVhhtJW8INnqMdiugEKnxbSrzgePnroti/52ICOrcosaZCsV7FTAJMJKkg3hqQiBTm5NgePxmiI0JEn8wfMCYXPAfgHkWVhZYrBbJjYVUPx6I1arhBHlSXXqA8oCnLzjyLwf94gpiQYZSkphm+L5g+/sMZrWIoqoMj/XRZ6GHselKB10yTKSEAxWo/VmN/5mIqWBWJFliRGn0BGASDLe01vb2Lejk4gk8YcBNXweCHCi8h6HKdMZLjcwWV7EENai6jp3fzif+z9eaG8bUWO/wzxxb9TGjsQI3G63Tkt4ztmYOF48Ob8mXWHl4uLisnHjCquNkAUN7T2vlAIN+MlvpOh85rj7a1EhtecUsbKFlSe7iNNe8re0KVbESudV02UuX8iyRFkPNunxnLTDCIZWFHD0NkOzO5gpMkQy8wozfc7vECO9xWtaquuSRKHURUSKRqzybV5hCaugLNnnEhACq/PYryFiFc/pkcuSPj+quohnz96B0oA3pb4dPyB1g+2euP3YLROeqyjK4j0+dFvY5rSki5x9n/YP3WJHrPzenm3LJXOdAZqGDwgLQ0ydvONIZl63b4KIAjh39zEMqyzg4r2NyN4cMTxhvzJwS0Mj+3Qa7/Frair5k/8/3Op90F5nc3kxqib4ZH6sAIx36YtvDp7MSXBpY1fCc+EYYRW7T2cEy00FdHFxcdm4cYVVP0PXRZ80rcwUZ6peMG7W9+/pi3nId5vDvCLzcdaoxgSsUclOWD3su40vAobAGxOO8JWYkNX26bAMJO48dkumDC/n4ZO3yWi7vxw2iU//tAclgcwjS4auiEas4l9iK2LlNHzoLR4RjQKEJAlZjoq3fAsdXTfEeFCKRqwK9WiN1a+R+SK58N5uZCXbm7VDqSzKX7lg54yPc9l+49Mu321cDefsNibl8lPDl/Gsunv0ia6mjI67hioikXIAfB5DNKX76tJ9LYCRBhgWCj+LkfYyWZZioprWV0t1sZ9P/7Qnv997E4SALgJsEXwoYd9e4G8NjYwMR2jweLizojxm+emet7jlx105U3415vl4lz5nxEoIQaZfcTERK81NBXRxcXH5tfLrnfWkYH2KGlXTOfCuTzn9P1+vtzGsUaKT8Q5ZirFZuPH12QySmmzzimxSAUvNu7idsky8kXEhqevA1igKK70ePEKwa3dm9WLZMqq6iJfO25m9NxsQ83w67ZGTMNHNiFWaGquAnj9htSKwGZL5GgVlibAjYiXL+a1Vs4RVlyxFa6wcESuX5KQKHAa8mb8+5+8xlqO3Th09/e/p21HiT13P9JE+hcvVs6NPaJGU68Z/4oNaBQDFZipgsgiPvVuvUQtVFvGxRehhuomNiDudI9N9D7dRRL0oT3g+IATXNhqi8NXiIlplmaUeDw+VlfJTxSrWyjJnBf8bs0280YQz8hTW9IR6qVQ493PPhwtievHFpAK6dusuLi4uGzWusOpH/LyqjTlr2pk2t+d6hb7CmaonJMk2jpizxkgvDEtGahlAQRapgM4eVB1xphjDpPqU21kRtIGqSkGeRe+61NCGELPOO1mNVTSapObJoGNWyVRb/HZKcoywyr5CLD3CjlhJjgbBet5E4sZKuqa62dCT9bucQernReHzaZVK4PDUhhbxtEdqAdA8RnpcOiGi+ozvkIqIQjCJI+DEIVGTjGR7cYqtE8JX8Zw6ld+Eboypu9w2GGJ8KExIltl9+BCOGDKIuyrLuaOygiOGDmKpJ1ZgBiMaV7wwi8ue+4GQqvGnF2bZy0KqnlYoOgk7hNXbP6+JqePS0ti7u7i4uLhsXLizHhcgOpGpi0vVazNF0GH3fgZEm9iCcYc4U7xEa7La4oRVsoJ0gNHSKtvsoiZJ09K+pq9cAYWU2MXKslsPiPylz+myz77mXY6IlV8IpDzarQNouhF90CUJ2WM44BX8ylIBc5FI66r0LJOSulf1nTmq+AkYuUvG+9VVQwx1eIz3WbrPTMRrCKsqNfmNg3tPiPbN6sksdIEYymXq7/hBjOW34avt5yXgAtMlUJUkwrLE5GCIEZEIzYrCX6srYna+tiPMM18v57lvVzBzWUvMMcJq5hGrUCRWMM1cHt2XU5xluj8XFxcXlw2TNH63Lr9G4u3Q4y3XLWElC5H1m6dU1+mSZVoUGQ8Kg1QNidTCqoAwDeZ4rBqtDRVZAkz782SugAPketoxojzNeYpYSRgW9Q1AlyTbr12+GwQD6HoAWQh0SULyGA6TbipgcpxiKl8Rq1Scu7tRW5Vxg+Ysx6OqRqPhLiVCgBCt3bFphM4oU8hrCO6KSPJvjsHlBUiSIc52HFOVdJ1kOGu1AHbr7ubipmZWeDzs3tXNLt1BVno8HDZkEDMKCvAVLiDctQlATMpeUI39XH4yryGnVECIdWF07iLe2MLFxcXFZePi13M7OUPW5/3E/nAvsyE+YhXnkhV0Rj2y3HepOfm4trqK/YYN4ZEy4253qvMWQLNZC1SxgU9IjImW5dIn0HXBooYOe/kWylzAuK6WGNl0YO7OcGCIOSt90ohYGc97hch7qERHpsR8jfymkUFBHo04NlRODF9JoyjhnPDFSZentkHPD5YZQ6YmkD19B8W/dcJqOWCY0pzjeYVD750es/4d7883/pBUQp5uAMojhulLRaGXR0/bNmb96ZfvyV3HT+H47RLd/9JFw5pEMQAdIsAsfTSnt7ZzXWMzU7uDyMAwVeUQs5fYdhXP4DUrPbvCUWEVjhNWl/zvBxY6PqPpiDelsGow7/pgPre9O9d+Pr4hsYuLi4vLxoUbsXKJoUnpKWJlPPbnkCdnGVgs8hkTq39WlnNGa1vK9QUSneaMsLgPhNW6rLGSZQkhojVWjZ3hmD5jYXNRQBdE8PDEGdtnddc+GZIkUWBO+N4SWxKWlgGmKFbynApoCqtWRSHiCQHGufyqUgGTiKTp+uZsHbqfVImC+dJVPb2X86nfZElCs0xR1AokIdAkiTGehYg4Z5q7PjCEleRpAcmoy/Rrxuf/u2v3SbhmQ8oLGFJekPS4neF425soR4X/zAHyVzyq7U8XAZYETkhY57CODl4oLWZecTsv+S/n4NBtdDn2GS+swEgVzAVFhu6wxu3vzYt53k0FdHFxcdm4+fXMejYA+kPSVJM54baMKdplmRqiPWpCdpPZ7CcIJUnE0WKvJ2UqIESNLorXw4Qkn62eZEmyUwF1KfFcIuZzfiFQhUKBT+7RkKAnJKBFrwSgRfbFpAJKcna9u3pCQ7GFs0WB0H9Vwiq1k13q13FD6+8lEDGfi05RZEeT65TU9+lkbwsAA1WNVozoUrbnnu4rYJEYzL3aYXSR2HvPYnIozMhwhG5ZZkGJcUMnJmKVxzpORZaSCrV8m1fMWdPG2Y99w5w1qW9Qubi4uLisO349sx6XjGgxU+8GmTVNQUmiROq2l1sRK8u4Yr/QLRnvuyyJsPrBbEb8zNfLE5YJJIewyn/EatuRlelXyOOcV5EkBFaD4MQZopWmFxCCSJ5qrJDAa1q8q5IWa7eeZhKcCyG8lMTNfI1z+fUExYuSWJqXBhKfW5daKttDZdJuwuuIdnYRsOsfmzypf04kU1gNUlWW6QNSrteXSMCBnUY64MeFBShodDqElVNk9ZY3f1xDU1ditCvfdutH3z+Dd2fXccq/v8rrfl1cXFxccsMVVnGsxzZWCdNtXRcsa+xaR8eWEECLOWkapBopMsG4WaBdY2VOoueK4RwSuimjYyQTVou9XgRSQsqMMSajlxbkX1idscsoygrTN/jNuOA/EyTQdWOSrScxr1Bl47lAHu3WATymsBqorHEIq/xP7lU8CRGrwK8s7Wni4FJO2XEEY2qi9t9fXrX3ehwRjhc6sxe8OwNxUeDosdVOIdVmpKcpjdOkbAsrjeWihqsPzF+j74RjpThVXUhM7TJ64c0oCFBCG12haCpgZyh1qmHPCC7zPMPvlGgD4v9+viRhrXw3CG4PGmOuawvldb8uLi4uLrnhCqt+zKXP/cDUW6fx7NfLer0vKa530sgr3uCcx7+x71BLCNplCdWciA20IlayZEoug5AcTSez+FGMzmgM5Y40GEu4rfGkFxF9lQq47ciKHtfJbyogdsRKT7LfbkftmpY3V0CJamFMJMuVRjRnKmAfRE0SUwF/XcJKkiRu+M0kzp4a/TwU+JK9lus+/S/T1zuTmqL45sUrIyMBCHtTN/C2I1aayp8O256zpmb2nZFPgviYEA5TqWl0yjLFRfNjolSdodwjVsOles73vMoV3mcYzFoguUjtK1fADSyj1MXFxWWjxRVW/Yj438aXvl8JwN0fLujVfg+Tp/OD/2y2l36Jef6dn+v4cE60Oa+VBlig65TpxqSgO+4X21mnExHZCQBrnwBTu4z0wjUehQJS323tMAVHsVj3roD5rH+RJAkhjIiVSFJj1SUZ19IvBG0UJSzPBVmCocLo6dPkSN/yCZHfaJxJRVyNSsF6eM36A/1JT6Z6lTcfUpb0ea2HwQsBhXFiUdEMs4mgkvpzLHtaACNiNbC6hxTcFAwoTWwqnIrTwpfxvjaFXUN38Lq2PReELySEFxnY2YxaTSz+ADnUam+TScRqU2kZpSQ6BTqbnE9VjCbDm6pzuEh5kbd9l3Ob9z4ALnjqe1q7ItCyHJ46FhZFDWyWN3WxpjW1OE1HgTd/UW4XFxcXl9xxhVU/Il/zsfhJ852++yiVunjY94+Eda1GlgLJnnxXarpdQxVKI6yyxevYZKduYwLRpChc4nk+5TZdZtioIO93ensWFvmOWNnmFSSei5AMUdKuJZ/w5oIkwUDdELBrHW6Pvj6KWM0MbxnzuEgXPH3WDrx38dT8H8wlhmR1e9ni98g8fMo2Pa4XH4UTEaNtQsiTOtolO2qs8BbmNL7nztmJ7UalFmWHTB7MjCv3RADT9CmcGbmM5WIAF0R+z+v6jqwU1QDs3G18JhqLGvij9rC9fTrXQYAJ3ln8ZsDf+MOAS7nL9w9qbVMfwShpjb1eLS1I6Jw25ywu8T7PpvJyjlSm48Po8XXH+/PgtYtg3tvw2KEAtAcj7Pr3aexw8wcZ1bnF4worFxcXl/6BK6w2INZ2hDKy6001yeppS8tqvUrTbJvuYFwjWUtYBXL48R9spv9VqZqdCtgtSWwuLwagvj32bu1Byhd2itz6SCvLp/gIeBQKhTGx8kiRhOVCNq6Hzz7N3h9cQrLr2lZ6jGhZga6j5GXviSyJjLX/rtA0CoVgxzFVbDKgd/24NjbWR9pW/CGTfY98c83e7DG+Nu1+BImpgEHVEDudSiphIvB4mwAYqKrgTW6n3hPDqwq5cM+xKZfvMraKQWWp9/2HyHn8rI9gx+4gkhDM9fvY2fO5vbwjTSqg5F1Lw6hnua+inDsqK3huyEru9t0BwAPeO7jJ+ygALbJMU9EaBpRP44uAH6fU/I3yGRI6dW1BaFoUs/9FDZ3237nUYcW/Jv2ZWStaOOK+z/h2adP6HoqLi4tL3nGFVRz5uPPbF/ywvIVtbnqf3f8xLac7mpkQjVhpdkQqGBe2CTqc5bJl22CIvzY0ck9dgy3cumTZdsH7dklzzPp7yjPt4xeuFyOE/M2AZVliM2kFAGqS3epmxCoa1ev9+UpStO5pidk7rDLPds9OlEhUQFki+teIN8seYUMrchMaTkZUJU8ftURcfFprUE0UEZna+++7WayrX4dqRII6PLH7tOs3lU50WUcSggGqlnPECtI3VLYESaqvpgViKAeFb+bTyA6MiRg3N77zR8fSEUy84WGgUzT0CUKKxohIhCJdZ2bAz7zyOgD2U76hWZa5oqaKPYYP4ZUhy+gc9B5nDRrAsUMGstq8YXWr90H2lL83xhc3yDbHsXPpdZW8lq9/cuLDX/LdshaO/NeM9T0UFxcXl7zjCqt+RLppzdNfGQYWy5u6ueG12T3sJ3tBcIgygyazxqpSj6YCpqqxShexuiNyJF0isR5CAg7t6GRSOEyhY/+a2Tg3fs4k0In0IkLWW/KZCggwrtqYxKlJJoeKbNSnlIn8uXtJUqITY4VZ59YX/ZO8oaghSLmm8/vweXk/xobAQVsMYusRFZy3+5iM1s/HS3HGLqM4fedRPHXm9rH7TvFdEExirCBnMBAh4NSdRnL01kPt51oigwBoUBSmyj8A8NL3K9jyxveMMZhpgNWahg9yjliBcYMiFZkKkqDwsXnIiCV974+OZXWK+qZA6bdIgTWUahqPrK7nkqYWAB4vK6GEVr4K+DlyyEDeKC5ClSRGhiPs2N1NiaazwOfj1EEDaDPHvaM8m7WzP4KWpfb+W7sitrsf5Bax2pBSAduCv96bLi4uLhs/rrDqR2T6c/qfJDa+vWU/5Rs7FbBC0+zUu3Q1VlKKEf9TO5L9w7fwlLpHyuNZNVOaJNk9nOKl5Wgl2tsq38Iqk8lsJhPNbPCZu0s2rRglG+c6WFiNPvNxbImyuAhVhfm4L7LRPEJh86AhDHfuDlJPz86LGyMBr8IL5+7En/bfFIAh5emFxOFbDsnLMa87ZDN2Glud0frBJM1rM32/exSZo7cZZj/uNCNW3bLMMNmIyl787A+0dhtRGKfVOtCriFW6MWYqrIqlLjYPGe/TeX7Zdkxd2JBoSgEaxTXvAHBaazsDNI3fdHRQpWqs9ngYOuYmzhxYS4PHw6hwhKdXruG1lat5cE0DL65czdBIhFVeD78bUEuTLNMiinnef2PMEeo+fZSauU/Zj+fVtWd0Hs7MhQ1JWLm4uLhszLjCysUmxrzCrrGSmCwttNexI1Y9TGKWiQHcpx2WcrmzZipopyvFruOMluVilpGOTHaXb2HlNQ8aSbJfK+UxnwJSkhKd+uIf5xMFnX/WN/DPugZOaMtscvhr4K0/7Mor5+/MVsPLATjGIUoALtxrE07beWSfHNtOBYx7PpkVeHwq4MTBhilFZZEvYV2v4lhX+PGZPQQkT1vCujv7PgPM+irolbCqLk4ci0WmwqqEbjtiNTvgZZBpjx5J0rzXU/Y9IV8HFZpmv6f9As5pMdwEV/gUhCRxeHsHz65aw6RwtKpqoKZxW/1ayjSNHwN+Tho8gIB/Je8WFvB+YYGdVj1uxmVs+9ONlGPs/4j7PicTQg5xHNiAUgFj3jsuLi4uGxmusIqjP1klO4kflxCilw0tE7EiVkaNlfGj3S1L3O67314nKPccscoED+AzJ0JWb6yEyZ/DEXB9/BTnO1vOa15TXZKA2Iltb9wWUyFhpHV6HPussiJWfXBBZXRqNJ09u7pRzMcuUBrwMnlYOf87Z0e+vGovthxWHrPcq8jsM2FA8o37iO5IslTA2McPnrwNJ+0wgud+t2PCuvF1ZIWq2Wzb05mw7iS/kR44yBL1SvrG3OkYXVPMX34zMekyPcPPzr+0QxkbjhDQdTpkmd8W/C/Fmjr+qmkAnNbaZqcvv6ztxD5tOpuZUa/TWtq4cW1TzM2iqyOn84M+ms3CER5fXcfgiMoyr5cHRqzg0gE1XDyghmMGD2SR12NvU0Q0FTGSQS2kUxz7PRvOT3m2NYguLi4uGxLuN9wGyiH3TGfi9e/wm3um92o/HQ5xZkesdD2jVMBkXB05PeNjW32OgnLyfQXjHAFVkfvb9bHTt4t5nImwGF0TawgQPyHOlqUjTrD/VqRYURzsg1qyY7YZhgzUOowKqjWNqyJn9Ekfq0ZKYx5/oW+W92NsyHgUmQGlgfVy7HTv94/+uDufX7FnQt3dkPIC/nLYJMbUFDueNd6fvriJfEAzIkm6pzPBXGe16Ug5SFV5ddvHeq3qT9pxZNLnj91meMptRlVHP8sz9InsErybYSFjXHLh8qTb7FX2JLK/kTJN49i2aJqgD5U9Q3fy2Oo6nlm5moubWxK2fVLbmysjZxrHjqicvaaQIjP9eYzZpHixz8vva2ts58ACKVpf2R3RuO+jBbw+a1XMfte0Bnl8xhI6Q2qMOM73DcElazs5+d9f8cWixpy2v+O9eex08wc8903itfXku3jVxcXFpR/hCqsNlJ9WGik3P6xoTbue11HRUyp1Jyx/9LMl9t+2eYWm2RP8YNwkKBhTYxVl0+CjbBu8jye1vTM+B+sOcMh8FyY4l8WlHc4XudeiTB1Xk/U2hT4PP1y/Lx9ftjuX7Teeh07uucdPOloqp9h/KzgdyESvbOxTMaqmiG/0cQzQou+BkZEIP+ij+6TIaqkYSLeIpmppbDjpSeubvgqUp3qZ/3yIIXov2288I6uLGNxDHVg88VEHn2qY1UQ83QnmC2vMSPhAVaO5YnJWx8kUnyJTVpg6EvbW73flSYexxxqqqO82rsEKfzI3QEFH1XcAHN/WYX9XARQQoo0i/AImhiOx1/jIR/jHps8C0ElURCuhWl5fsYoXVqzmgmUDeWHlaqpVjSU+L8+UGm6azojVl4ua+Pvbc7ngqe9jRnX0A59z7Ss/85fXZ8cIKytaF1Z1Hvh4IUsbEyOH2fCn52fxybwGjnvwi5jnO0Mqv6w2fnuCEY3LnvuBd39ek7D9018tY1VrkMuen5WwLF6Uu7i4uGxMuN9wGwHLGrtSLss0HUsHWpLWWMW+RSIOYSVLjjop/DRQHrNuTxrBslwvlo0f6vhJYHzdUW+1wD6bZZ9uVVbgZURVEefvMZaakkSnw2yQ5ajokB29rHyo9nXOdyrgLH0048PRY42KRNCR8+54aLFD6B4+1Lbk/PBFfXOAjZRNBkSjQjuOrsrbfqN267HPn7rzKL66ei/O3yN1X6hkWG/P+DoZRTXqpsKeMKqWOmKVqaV71vSwW58iJ/bf6hoFwPwAtoGFhVK4kNl+PwFdT6gXbKI09QHHH0hHoVFD53RGXSmqqdZ0xkUirBQ1nN91NReaka4HykvpkiQKHRGrFc3Jv9OXNxk3x97/pS4mFdASs49/sZSb35rDbrd+lHx8GaDpgjpHT8H5DjONo+6fwQH//JSP5tbzyPTFPPftCs5+/NuEfTR1xjaL/nR+AwvqjaifU5R/tmBtzuN0cXFx6Y+4wiqOfltjleae9tRbp/V6/22yjGbOviocEavuuImQJawy6WNV53CFaxOJBetWKqBlUpHKvCJgrvectluPx0zHJfuM69X2vUWSonfUnamAfiJREZnnfl0z9TEc0d5Braqyf0cnQ1UNgURJIPc6l3S0UszpkT/xhr5Dn+x/Y6W2JMD7l+zGC+fuxONnbNfzBnk6Zq7ER6wk1Ui161LCRJwW/5LKWo8haAapWt6E1YGbD2TTgdG+ac69bj0i0Y1SlqWEOqS24CYAzPd5KZFiTTeKqt8H4PD2TiriWhb8X+S41APzFdqpbkGiwqpORMdULyr4UkxgclsxwyIR2hSF94sKYyJWyWrgnOjCiBjZj83vjUUOZ0PLlTEbWrsi7PGPj1jquFm3zx2f2H9b0arnv13BqpbEDAiLIn+0duzHFa2c9MhX7H37x0Dse+e3D3+Z9RhdXFxc+jOusHIBovVVJZqOl2iUSJWkGHtw66faIwT/VA9Pu0+V6I+rluStZjX97ZaT97GyhJUV2fq3tn8mp5KS9W1JLCmKbSQhO4SVQrhP+nVJksQ7+rZMCEd4f/kqbm1oRMI1leivjK0tZusRFXj6oLg/XzV11rvTOXEGEKpRX9fh0Xj2q2hdjddj1OgEdJ1yXc+bsLrvt1vz1u93tR87vzvu++1WSbcJeGOvazhSQ4Wqo0oSZQULAMEm0gp8ZV8hipbgEYJT2mIF113qYXYbgSV68gi49fq1U0DDgF34TJvIQjHYXt5AGQAlUohDO4yUvVeLiyh0CKtgJP1nVBciRnxFNJ3Zq9oodLgDPjJ9cdp9JOORzxazrCl1BoRFKIldvxPntZ6xKDYq5boCuri4bMz0K2H1ySefcMghhzB48GAkSeLll19e30PaYFiewY9hOixHwCrTucs5wXcaWFgCwAt8rGVeL5FMLlimFF1WxCpu8hc0BVdACGbqoxH96+2aNUJSbMt1p7BypgXm21ZeN6+Z88oqrrD61WDXLeZ5Llvs93DrUVswYZAhqLSIIRZaPTp/ffMXez2f1xBWA1UNifwaFzhrMp3fHU6DkNHVRcz6874A+D3xN1YkxptaprBwHmcob3Jc7V/wD34RMJwAh6gamwcfZnzwPxyr3sA/1SPtrU+JXM51kVM4OHQT1GwKxzwGON0JJRbt9xi/jVzNPH0oQeElJDx8rxuRsm/0cbaw+rIgwATvz/a+k0WjnOi64KXvVtqPv1zcxIF3fcpDn0bF1Huz65JfuDR8sTAzs4qwqid8p3eFVd6YtZpFDR0xmR8tXbGRs1xdAYUQ1LUFOfaBGQmmHvlA1wWfzm+gOS6N0cXFxSUbPD2vsu7o7Oxk8uTJnHbaaRx55JE9b9DPWN7UxeDygr6rI0hDU2eYYZW59YeZKC2hyRQxFbrxg+6c4HcnE1ZC2JP2XCnUo5buQMLkzzKvKMiT2Fj/WZ4yHnMQikNMyXL077xGrIBkRvWusPr1MX5ASc8rZcnR2wzjiK2GMuaqN4moRl1YY9wvitfbhAYM0lSOCV3Lb/vouzGV0eCY2mJKzbTXZJbkVd0VUNxKWeFs9tRWcW6FYXJzaksbFzYbxkDtGN+rP0jj0RyfnaViII9pA/nH0ZNh6wvt551W6VYPsAYq2Cl0NzoSLRivxVWRM7hYlDE2+AsLAjKDSr7GFzqNMN4YYaUJgRz3OW4Lqrz4/UrSsWRtJ7oukLO45m3BNOmDus7Rykd8qU8gpFbGLPp84Voe+mQR0+Y2MKamKOYaNMcJq1zMKy58+nvm17UzsqqILxc38eXiJg7eYnDPG2bBqz+s4g/PzmR4ZSGf/Cl1c3sXFxeXdPQrYXXAAQdwwAEHrO9h5MSbP67mvCe/Y+8JA3j4lNzc45w2xfGWxT3Nt1e3Brnm5en8uLKVE3dIbTucjBOV92i2e1iZfY4w0neCsmzX/wBEzD+9QvCDGJ3xMUSSCX40YpX8h7Y7Jj0uvxOy9ZKMIkl4SIxYYYosr8h/TC7ZdVfouybBLv2TbF3/MkWRJXYZW82yRYaw6pIlkIOgG1EjxduMBtRGdN4VEzi5r4RV3ON7T9iK/36+hBsOjfa8ShYpiXSOhprv+aVI5fJAFUKSOKqtnUuTWKinSqc8auuhMY+djYqdtYxNZjuCI6YM4cXvV9JCCderp3FO9yUsCPj4tCBANa2sojpWWOmCaXPWZG3V3x3RWNMWzOq1DyftnyX4aPlHPPPF3/lpzBIEb7FYTKIocjCYaZEnPBStlVrY0EmxI1X06a+WRfckRMZRy9b3b0WuHEXJVkfx2g9GhGrOmr5rPG5F+DJJhXRxcXFJRb8SVtkSCoUIhaJOSm1x+fDrkgc+WQQYbk1fL2li25GVPWyRX373RNSZ6YkvlqVZMznN5qSj3FGoHRCCIHGpgObkwiPIKjUvTKJZQoFdY9Vzg+BkAiFb4sXqukaSsCNWsqNyzSOHCJF/4wpJSh6x6mL99FJyWff0RSPoeASCTr2UUk2jTVGQPc3o4UHG8b0tAFSbb/e+6mEU36rhoC0GcdAWg2KeK/Al1lh+EdydEu1b2hWZVkVhdDjCFU3NvRpLxOGKmKyusyQQ+7Nb0TEAKpqZUVBAldTMKlFNt6PGamFDR4LzXjWtHKZMZ5mo5UN9CjvIv1BOB6/rsc2cl6ztTCqsXvthFS9+t4I7j50SY1Mfjqud8nrrKRz0PBd+aP6mKNb5/MxX3T/jrTiESPPOCfsPpjDfeHd2Hd8ta4l5TtOFneXR2h2hxO+ha/HXlE2/ydjX5ulrefNF/Ovi4uLikgsbdNHKzTffTFlZmf1v2LBh63tIABx9/4ycHJniJwfrCgF0yFHzCotoL6vo2yRaY5WZCLgscjZL9VqujJyRsKwwwRUw9vzrKbLHkW9JtL4kli2s5Kiw2stj9IqxXBLzi8RsfUTMM7+IESnWdXFJT7KbExMGltJBAQPM+swib0N0fa+RTletGp9tuY++4zLZa8CrcP+JscYWK8UABnRHre6vaWzC7zjFOXr635T3L0l0KtWcN6d80e/OwWUBPr5sd7rCsaLj0Y7TKdc02hWZgsKFQFSY7CrPYuArxzFMqsOLyrO+G/mb52HO9bzKNd4nedB3Bycr7/Gg93bu8d3N8coHQFTAtgVjG5FbXPj090yb28Bt782Ned4piGT/aqpH3oletAy/7OP4liDPrlzNsytXU9Ft9OQLDHwNpWhOwv4t+/e95G85VP7Mfv4cUyDuL3/FBcpLgKArbIzxl9VtTL7hXS7+30yaGqI1VM99uSjpOeQbp7BSk0buXFxcXHpmgxZWV155Ja2trfa/5csTu7yvL9pyEFZ9gZShhLCEVbFjch+IiyhBbCpgJjyn7c5u4TtZ5HDFOij0VyAaseoyj33Kv7+K2dYrB+318hGxWl/C1UkyV8DhHuNucHG+I1bmNbtVPcZ+7h2td02OXTYsqot613stEy7eZxxn7jGBKvMtXeqNNowVXiOLoDJiRDo8feUIl+Fu958UjWINKDWuTd3a37Btd5ALmlvYNhjNgHhS3YvTwn+yHye7vZOsbsvZx8vnSD/cYXQVI6qKEoRVHTWM6TKiSt0lhoiw0tIe991CVd3n3Oa9n6nyD2wvz+F4z4cUFMznvvIyLqmthqpPELJhuLCf/A2A3XPPEi2pWNQQ20i4I6QCgnOLHqBmxD/p8OhsGgrzLCO4qrmezcIRNgtHeKRuJsea/b2qBj3NQZ5pFBObQiej84jvNu7y3UstsVHA+3138kfvc+wjf2v343rIzPp4ZeaqGNfBGT/PT3sO+aLAFxVWjevRwOKtH1dz/lPfma+Fi4vLhsYGLaz8fj+lpaUx/9YbeUgzi62xilvW672np90UHcV6sohVdNaiOswrssHZx2W2GTEptHplpRA8Vm1XgciPsFrvqYBIWIk0kkNYaWb0qljXWaibKVR5mH9a++gQ0VSgTIW2y4bNP4/bkuO2HcYRWw3J636TvXuK/B4u229TSjXDqKHMu9pcoqN6jL5Khaox0VfkvvnJyebj8rvdxlBW4OXF84wUtrbuTfj3mnrOaYlNJf+zegqriTZrPmKr2FoqIKlRkeq4QeK8mRMyoyDJxM4mbUbqeF3ZMmQ5scZnirSAaqmFF4qLOGLIQG4eGuZfFWW8V1TIc1WCUwYNIChJjJAMUWuZZny9pImG9lDC/iycmRURTScY0RngWcq7g+fTpcDkYIhH1tQxZuEHseMVS7m0qYWhkQjd3hADBzzPX73/jlmnlKhoe8h3GwGscUSvz87yT3SFNV577UVO+uUcdpe/B0APRl+LhUtXpBx/vvjPZ4u564OogKtvS33N+ppzn/yON2at5uFPYyN1q1q6XbHl4rIBsEELq74gX5PvZ75eRmvX+o9aZR2xckwKLGGVrMbKm+VlCuFji+CDTAo+jEDm1PBlFJgirivFZMtpXnFT5MTsDthPsVIBJYeBhGq6AhbrOkeG/wzkt1G1s6Zq/cfsXNYFv9lyCLccuUWf9MRKRUAzUne39X+NBxXJ04GQdWQhqFWN97vSV6mAWez3igM25btr92GIWXvUQXJzB1WKrbnZpLaYb67Zmy2HldvPJUttVPXkaWQhs26qvNCXsGx2x56MDkfoluHMqr/ZoqRZlvk64OfhiiI+GzWNP9dUscDno0DXOaCjk4uaWqjQNOb6ffyzoozhUj1+wrawevqr5Wz71/f5blkzs1cl1iD/uLKVW94yUvk6QyqgoQx5jnqPhzHhMP9aU09pXCRdF9EbXjesbQLgf6UlDCqKrQMrl6LNiifLi7jS8xR3eO9lf/lr+/lN5eVMn7OCwV//jSnM4T++W/mNPJ3x039vr1Mq+s6wwuLPr82OedzQEUyx5rrDaVO/urWbnW75kN1vnbYeR+Ti4pIJ/UpYdXR0MHPmTGbOnAnA4sWLmTlzJsuWZW/GsL65d9pCLnj6u/U9DEZJa2IeS0mttiWHsHJGrGJroMCRCphD5KONYjpM6+KP9Cm2K2C3JOEnMfXCtlvXdWaKsVkfz+KmwyYB/cFuHRSrxsoRsYrIxqSzWNdtK+Z88nNMTVV/uAou64NHT92WqiIfj562bc77SCf4y3TDBGG1R6GGViSvkf41QNPYTDaswfuqFUW2ei12HNG/F+hGyrKGzDt/mMrx28U6rFYX+6kqigqjZPeEnKmATizHvSsO2JRdN6mOWfaZvgU0Ga/Lp2XdfB84i6PL/sV+wwZz+qAB3FdRTqtXpUTT+WNjMx8sW8nfGxo5q7XNFjdPlJXyYVGAbeS5trCyOOK+zznwrk+5+a1fWLw2Nv3v/o8XoumCjpCKr/oj2gsbKdJ17qpbS0ncC75QH8R+4f+zH28XDHGMmRJ4fXUlSNHv8Qo6YrY9xfMehyufcb/vTvu5HeRfOPTjg9hajkaL/um7L2a7PZSZSa9nX5IsYtXcGea+jxawurW7x+0jms77s+t6dXM14DA++W5pCwBrO8IxrpMuLi79j34lrL755humTJnClClGYewll1zClClTuO6669bzyHom2Vfdp/PX8tPK1rzsP9fpyJv+q2Ie7ybPSrqebV6hJ9ZYxdqt55YKmIxCPSqsyuhMWN7taBCcKw+ctDUn7pBo1rA+IjdhTbdtOJ3CKiQb17y4z1IVnY1U3R/lXyt7bFrLN9fszR7ja/tk/4NU4/O6zONFkXRk0xFwkOpwwOyjGqt87TU4ZEcOC93IV4d9yrgBJVx/yGYJx3CaHCSLwF28zzgATtt5ZMzzIdMYYkBpgMfP2J7Nh5TFLP+h5Qj8msIKr5cdRwzl7cFL6ZZlqlSNLYIhbmpo5MPlKzmlrd0WPLP0UezR1c1pZhrjbZUV7Cl/Q0WSqBjAAx8v4vD7Pkt4vrEjxI91PxKofg+AqxubGK7Gpp19om3O7yPns0AM5h1tG6Zpk7kscjYXN7UwUFVZ4fVSOPJefDVvoxTNpcBbl9G3TWmkAUHqWz7neV5ljJS+Z1e+aU9i+nHVSz/y97fnctIjXyXZIpb7P1rImY99w28f+SKr43Y76u+cjpJVxdHXs65t/UfTXFxcUtOv/EV333339V4Hk28Ovns6S245KOvt4q9Cvq5KMcnvtnXI6WqskrgC5mFAlgtelywlnfBbkbJ8NQh2sj7eZS9+twJFWM2Qoz+ghrCSY659Pkh2F99NBfx105cGLvM9ewHPscqjUC11I3uNSMpgNfpeXx/N0zPhpshvuWbgV0w6/iaeKRhgRwucqX7WtSt2Cqsk5zNhUClz/rJ/TMQBiDFkgNhaLACEj1HNI5hTvci+qXRkWwfXNDal/KE+JnwdcwKn8buWVl4pKWKl10Nd6QpKCxLbW1i0dEWQpNjo4+rWbv797ZUICfbt6OTgjmid13va1vygj+YeLWp7fk7kEsBwLSwWghsamrhwQA3hQB1KoA74iB+B7fWhjIpEGKxqDFA1ajWVIl1Q51FYo3hY7VFY41FY4/GgShIBTWbrUCdHtnewZ1e3XZM6QVrGQpHfesF0hNREu/hpc+sBWFDfkbDMQghBS1fEbt7808rsWsA0dkYjZc63lu54sVY0d/fYm6y+Lci3S5vZd+LAfvuZc3HZWOlXwqo/sHHJukSOUD5N6HUC0G5HrBJrrKLmFSJn84pkRCNWclJhZR23N/2dnD8po6qK7L/7yvY5Ha3dKkP9YaCAIik6cVkrBwA1Rlj11fCWi5q+2bHLr57ZgT0p1p+lQ5ZRvGvxehsBGBxReVnbCegfNVbJeFg7iGsuNFLQnF3enHNS6xDOpr+pjhsvqiCxR5SW5EZKZeMUXu+ezi9+H6W6zo7dwbQ3Q4L4eUHbhSOV6Zze0sY/qir4tryZC9a+BoynmG47/dqJ9fU9pLyAlS3dvLPkbeaoDRTqOpc3tcQc86zIpSmP/7M+EoCdgkHeWbGSzwsKmFEQ4C3vMHRfM92yzGy/n9kZmlMGFZ3PCgv4rLCA4ZEIVzc2s1N3kAJp3ZpJ1LWFePSzxRwyeTDVxcbgA16FYCT9za+b35rDg5+ktodv6Qrzp+dnceTWQ9lv4sCE5c2d0dTBbof1vbM32vKmLrYblb5P5gH//JTGzjA3HDqRU3YamXZdFxeX/OIKq3VAWNWpawsyrDLxB25dM1FekvCcRjTtriiFK+BoaRWLRDSFKB/CyopEGRGrRKwUxMI89XeSHbOkisLUd3T7CtnRIPhwz8f8zKEArJaLgFZatfw2lXZe1ePDV3OY/Bm3q0fn9Rguvy7SZRR4FQ+DwjA/AMLXhOJtQgCDVZUrI2cCfVhjleN2iiylrVmJiViZ/w+riH6PZ3M+8VGQhIgV0CyKGaGqjHCk4X2ubcZOStRcISQ8/Es7lFdNsXpd5DQ+0ybR2OTFV/Ey8/w+ahbfwp89u3Oi8j6/Cd/Ez2Jk0jENqyxgZUsHby97GIDTW9uo1ZI3903G5uPG8I+CZzh13rlUa80c2tHJoR2d3EwjEWC518Nir5c1HoV6RaHe46FTkqjVNAapKv/oPguZWrq6SkB4kbytTCh5h9aKX1jm9XLOwFrOa26hpiGaUl9NK1vL80DbD5S+mcI8/sVSAD6e18B/TtsOgIBHAdLXTKUTVQC3vTuPd2fX8e7suqSZLE1d0Ro1p7By9tVa3pzoGmmh6YJP5zfYdvHv/1LnCisXl3WMK6zyRDqdcdT9nzNrRStPnbk9O42tTr3iOiDZNGBb5Ses+7QFQvCQeiCbSsso0A2b26AsUU0ri6So9XA+3jgFDnOMXeXZvKTvGrPc6QqYL/5x9GQWNXSw9YiKnlfOM7Ik2YK0TI6miMiykZ65Quu7Btcz9InM0Cf22f5dNm42G1TK7NVtHLTF4JTreBSJ6m5DWOn+BiRvCwKoUiW6ze+XPquxynG3AY9MZzi1kIjZr/lgs8HRth7Z6MSwFh+xSvxeW+a4eXVU6DpO8HzIzZETOFm8S52o4FltDwAijm/gTgp4UZ/KGLGSfbq6eKO4iOdKi7kh/C4A13kf49hw8jrl4ZWF6I0v8ItaT5mm8dvW7Bz4po6r4YxdtuPjm7dgt9DHMcu8wOiIyuhIVCTeEjmOm73P2I//Eoztqye0Yn4Ons7sjt/yz4pynior4b6Kci7gLcbXTWGuGM7L/msZKq1FfDccadvTsxpvtnw0N9rsOuDtfUn6ypb0xhdNjlRAZ71VxPHeWdGceh8f/FLH2Y9H3Rk3ssoKF5cNgn5lXrGxMmuFcbftuW9z78eRry/IZK6ANcpa+2+/EKwU1dyhHoXfEbESSDF1QfmIWC1WDcetkCxzuBL9Ud5CWsiD3tvs2q7epALGc9TWQ/nT/puul2bBkhQVpKotcQUFijGZKciz21OyhqYuLrnwxJnbc/sxk7nu4M1SruNTZEYGjc9ssLAe3Wt871VEomlxfZUK6Pckpt5lws7mja5UEWwpScRq8yFlbDmsnK1HVMQYDPTESEcqMsQKK8upcQ1VnBC+ioNCf+MbsSmXRM6jgXJuU4/hCW0fInhiRJWTZlHCMW1G/c9rxUUs8xjrDaYx6fqKLFFW4GFN9U8AnNLanrWBTqHPOP9MXtWjQtfxkHYQi3QjBa4lkLpm6m/hU9lvbRXbNxhC/p6Kco6u/RtXep5kqGT8Xom5b2Y11lwoc9SqOdM7u9OI8XToPVzfpgxSAVelEWfLmmKjWT0dz8XFJf+4wiqO/vI91FcmHnKyWibZqmXS7TeEhLDt1g1hBZIprCQh+K+6X6/H4hFOU4zouF71X8u+yrd0OxoEx3PMNkMZWBpIeL6/4zHPxTIBUdBt45Aa3XV7cumfVBb5OGKroRT4UgsJjyIxKWSkILUXrQZZo0DXqVCjk9N8pwLeffwUhpQXcP+JW+e0/f8duQUX7jnWbhacCYos8dJ5O/H873bM6AbNqxfszBFbDeHvR20R87xTWDmdGj/XJ6VM3UtHK0VMCYXYtjtIRJK4cEAN7ZJErWTY3g+VGuwGwgB+j0yD/g3NvjClmsbxbe18oU/gU21Sxse0hNW7Rb9JWPZP9QjwRdtHfCM2RUPh9MhlvKDtwk+7PRiz/u3HTGanMUZWxBPaPhwRvpHSpi35fVOLsb/KckaXfmivL3zFGY8zOwTnKK+xo/xzyt+YtR2JNV/z63qO9jnvnf3l9dkJdXfNnY5UQId4c/ZGW5PGFTC+gbBrze7isu5xhVWeyCQ68NL3K9d70+AqKfHL32oA7I8TMM4aKx3Zjlh5BXZqT28QwotsCQ3F+OEYJtUZj8E2ygjE1ViNri7i70dNjrE9TsX6iEylQiJ6ja1+YDLCNg5RtHVf9+Xiki88iswekTX4HJO5CeEwqxyGKZ4UzcBz5ZDJg/nsij3ZfGhZzysnoaLIx6X7jmdUdVHPKzuQJCnj75YthpZz+zFbMqgs1sktWY1Vb9BQkID/a1hLraqyyOflkKGDuauqGJ+nken+3/Ox/xKKTGdYv1dmVscLAPy2rYN3J9zJceFrOSlyFTdETgJg0ZBD0x7TdTpswQAAY3FJREFUitgtCGzGLqE7uTh8Li0Uc1L4Cu5Qj4Iz30eUDeMa7Sx7myViEJdGzmPE+K1i9jWwLEBVcazLRQgfZ7a2cUqrkTp9XU0VK8zopObN7jXrib3lb9lP/pqLlJe40vs0T/v+ygGeb4yFH/+di9pvtzM+GjtC0LrCvhM7e1Ub+9zxSY/H0B2v+SPTF/Ps17E9Ohc3RtuOxESs1Oh2da1phFWcTXx/uVHs4vJrwhVW65i/vzNnnR/zr1UVnD2who4UE4H4WiaBRASPnZoWtCZDkiEKc2kOnIwF+lA7GhWRdUDwqf9iINpXC6LugRbWo6njNiyHOwH4zPMNSxIgkNFoNc/VqyXvPZMrPkVmdE1+Jx+pmDSktOeVXDZqvLKED9itO5qqtFdnN59o0UhNnnXVOiXf92j6IppwTeQ0ajSde+oaqNQ0Gj0Kj5WVUj7qDpaaqYEjzZtXBYU/0xBeTIGuc0JbO/d+H42WPKrtzwGhm5m9zU1pj1foM/bpkWVWiFpe0ndlb+U/fKqbr3ntpkgX/8Qr8j4J21YX+/E4IpjlBT4K41Ir39e34j1ta9rqDqa0q5IOWebWSqM+Vhf5eUGEEJTSwcO+23jAdweXeJ+3l/2h8Qb49r8w7a8cqE1jc2kxFbRROuMWuGMi/PA0AI/NWJLRseJf81VxIunHFVGTjpgaK0fEqjOs0R5MfoM2PmKVyQ3fRQ0d3PfRArrCib27XFxcsmcD/pnbMHnyy2Vc9dKPWW+Xa73MCo/CM6UlzCgo4O3i5K6EVi2TJaQkBLPE6IQaq2GykUbiFYKXtcxTZ1LRjd8+ZkQSMZbrzYoxplJNIz6OY6VJXrbf+F6PYV1jCauQJLGNNBdFCtrCdVM9eS1ErkiSxGsX7JLXfabioZO36Xkll40aj/mZ/WNTM9t0BzmsvYNj29uZ7+g/lO+I1bokuXdp7kwYZKTJ5VOwPaHtw/Hhq5kQjvDespXcs6aeseEw3R6VswfWUqcoDJWMfkxS6dsAHN3eQbmusyKmFYNE+aitUHuwKbJSQ7d32H/7PImvcTBJXyiPIlHuqG2rKPImpJqG8HFW5FIe0w5EX3MoihB8WFTIVwE/BFtZ1NDBkf/6nGlz6tNfGJOIpsc47IERObTEpsUaReHjggCvFBfx0zt/tCuTR0mrect/JaN/ud944uVzeWPWap75ejl+wpykvMtg1pKK+Jonv+NaLW3sjKmR6nKmAmqx26VqEhzf2DgT7b7/nZ/y97fncus7c3te2cXFpUc23F+5DZinvlzGQz3YsubrXuZSb/SHa44veUTErrGK+dKXYlIBBRKne94ADGHVKHofofiXeohtpR6R9Zj6r0bF+IGt1BLNNqy1Al6F47eLOultk8Tpr/8kAhr4HcJqjLwav6cFMOrb6vTaNFvmRrJ+XX0RXRpUVsCQuKaV//rtVinWdtkY8SoyX+njGaxqPLqmnr+sbcIv4Bcxwl5nQ25Wmu+I1e3HbMkJ2w/nzYti3VB7e5wZ+kTq977bjB4GeWh1PcMjEVZ5PVxdU8VQqQ6lYAltvlV4heDk1nYuj5xFCOP34dSdRnLx3uO454QpMcInGVaN1dm7jebagzfjg0t3w5tEWEW0xF80jyzhVaLrlhf47P1ZHLh5tNfT6tB4DmwzIjX3VpQhgq384dmZfLu0mdP+83WP1yUY0Tj4runscdtHMdGZiKYz0qw9+8nn49SBtewzfAgXDKzlmpoqjh8ykIOHDuI/pSXcELifgWbNmsUbP64C4FLPc/zF+x8e992ccgzxzpCW6UpHSGW3Wz+KWdbQEbLdACNx261pTd7Xqz0UL6x6nklYY/piUVOP67q4uPSMK6ziyDUylG0u81/f/IVXZq7M6VjZUK9Ef6gWeJP/SAbjaqwEsaYRlnmFZRHuFdF1ekMzpXbEKizFCqsm8852pZ65+9Jzv9uRF87diZ3HVvW88nrAp8j2NQ5LEv/nfYj/FF4PGAJyrmMC2leUF3p58swd+vw4AFOGr3tLe5f1h0eWOC38p5jn/q3uHxMJ2aCFVZ73N6A0wN8O35wJg4wbHcdvZ7ikXrz3uIz34RQ+W5h1ZkdtPZTIpKPZNPgoj6gHUK3r3LemgYCu82VBgK7azxhZ8xwAh7Z38kV4e9vGHWBMbTG/33sTqor9TN2kht/tNibl8S0h5PconLHLKMbUFMeIpXRIUmwMMOCVY4TVGbuMimmiW+jz8Hr9ZchC8F0gwPLVn1Pa/HNGxwJ44oulzK1rZ3lTN+/NjkaoIqpghLSG+8tLOWHwAL4tCCALQU3Ix9ZdYYp0neVeL7dVVbDXsCFcXV3JD36f/Wu1YOVaFDSOVIwaqzHy6pjjOuuq4iNKXrP9wApHb6p9NhsAQEN7iNNNwRgvTFMZWHTEpQhmk22aqWHWssYudrz5Ax78ZGHmO8+Rt39aHZMe6eKyIeAKq/XI75+ZyYyF+U3/iqfNkXqzwps8rSMYV2P1g278kAbsGisjYqWbzn1eRF6EFTgc/+QIssMKvjldxCrm+99hhyxJbD2igifP3IE9xtdQW+K37ZT7A8OrCvGaYw+b17zJOk9dQ1sHH8ezdh0dYyGcT+LvtPcj3xCXdYAmBJ0U8LS6Bx9qW7JF8CFuVE+OWWeDFlZ9PPSbDpvEW7/flQv3HNvjuncfP4UdRlfyyCnb2s9dsMdYPrlsD/5+5Bb4PTJB/CwUhl35CFXlhrVGROL1cqgvakQWgtNb21igx/Ym0xzfubIsccUBm9qiL55kLpGZCqt4JEmiwBf9jdppTJVdwwVQW+KnTR1EcYdxA+qVkiIe0q7NeP/O39rXZxni58kvl3Lm41/x48CfuLeiHCFJHNTRyYvLmmhc9CcCy4/jw2Ur+XNDIxNCYcKyxKslxZw4eCDHDB7I8yVF+Fp+4r/eW5IaQ0FslCq+NipkugJ2mpGm4ZWFXL7/pvbyT+cbaYXxEatMUwHTiaWG9lDMfjO1Zv/bm7+wujXI397s23rxn1a28rsnvuOQe6b36XFcXPKN2yB4PXP8Q1+w+OYDe3aYyjE30CmsGhUl6W4sYVVgFsjOFMYPu9/RwLcQCc3c2ivy1yGp0DxmudKMl+iPgiU4KjSNB9XYDvWZHP3fp26LLvrZRE5EmyJ3WcLKisxpep8Iq/i3VbLUwL6iH115l3WAdWf+SvWslOt4+tPnMUvyXWMVjyJLdvSqJ3YeW80hkwfHGBwMqShgeJVRR2vV7qwU0RtLtzb9hV2l/zGjehWqJHFcWwfDVZV5YmjMvuMn5wDXHbwZo6uL+Pdnizljl1Hc9MYvAEn7eO04uopfVrdlJETjf/ecESufR475vio2XWB9rROgZBlvFhVxiWnFngpdF0iScRxnndca0zTi6pd+ZOeBt/NtRTeKEJwb2IpHf9mb9/DQSjFv69uxIPh/bB+ew7Md/+ZHv48/F09kWXEDc/w+bvBXUVj5KJ+2dzC43RPTDNkiGNHsHljx1zZkOv91hIz/i/2epGI1vi6ssSOcsI6xn8xSARc2dLDXbR+zw+hobVymWTdNXcmPnW/mOezrhRD9yuHXxSUdrrDqB7w7uy4m5QHyZ5Pa5rh7qEpSjNCycNZYNYtob5ACRz1QMTqaJADJjLrkN2LVJcmc63nVfr7RHHeFpseYWmSKJEko/ex7WACl5g+k9brYEStNI7gOpIj72+TSV2Ryx7tf3ejIln40dOs6Brwyk4aUEozojB8Q7Rll1e58qm/OC9quzNWHslgMYu3as/ig+xxaZZmxESN68qU+IWbfQytjayXBiEydNXU0Z00dDcDg8gI0XVASSIx+/3G/cVQV++LS+BS6whqFPoWHTt6GquLk9b5OYeX3KDHmDkVm9ErtGE+59iZrPQpfFgQghft4RNM56K5PqSry8/TZOxCKRMWJCLXBI/txVmUrz1QYFudHNVSw07F3cvPMGTH7WSCG0q4VcrXnSSR9U75b+UeO8r6NXjaLueX1LPN6eaqshKfKStimO8ix7R1IoSBCGC1JnFGprrjGwpaluhWxKvZ7EpwRX5+1KqF2qqkzeY1VvN36Tyvb+NPzP/D3oybHPP/idyuA2Loq5+c3nZAJRnJrjpwtznYEXWGNIr87XXXZMHBTAfsBXy9uQuQxCuQkXkitTZKm0W26AgaEQHGk4znNK4BoKqDIfypgtyRxvudV5nm9HD14IP8rNSYJQ9XEO4Abam8OIQRlZoTOel2aFCtitW5+rNbp3LAfTURd+p5M6jk2aGHVj7CuoyRJvHzezrzzh6m2KyNEa3d0ZC6NnMuD2iEAtFNIkephk0gECRC+ElqICrIdR1dx6OSoi2MqDtx8EIdMHpx0WaHPw/l7jGVsbfQm3f/O2ZH9Jg7gtQt3Yeex1Ww60IjMxfcidEbAfB6ZyqKoALPWbROl7N9p1CS9UVRIMV0kY2FDB/PqOpixqJHusGYLHIBJwZnMqfuWF2s6ADi+SeO5zmvw+5OnSddRyU6hu+g88kk2qS3h+cgBLGw8ktdWrOaBNfXs2dmFLATfFAS4rLaaknF/oWToIxSVf8YXi+cDcOyDUcF2jvIab/iuROo2Uv0sQVTkVxIiVhc89T2PfrYEMCzqAZqS9MPUdUFHEsv0/32zgpa4KJNPSYyKWb+rSxs72fqm97nz/XlJr4VToManKOYTp4Br7V6//T9dXLLBFVb9gIenL2bUlW/2yZ2grri7TmuTfKE6GwQ7o0NWjVVIlmmh0IxYgSePEtBKP+w2JwrPlRYzxx/9MR0dSfxC3WCFFVBqnm+rbLwOTvfDfInVdKzLiFVfp0659C/0DJSVsgGHTJOlva0vnCmVHkVOEKzp0qb2C/+dd7RtqC8YjTj9XQaUGpP1Y7cZxpNnbt8n4nfSkDIeOGkbxtQUxzz/j6MnM7gswO3HGBEVZ02V3yNT4RBW1rhaKaa11WjvML2wgLHSiqTHdFqUr+0IEXKkAlZoq7iypoqwLDG1q5shjRPwxkXI4mmhhG3HDWV7M31ulhjNE+o+fNu+P28tu42rl9VwTnMrQyIqQtagZD7yoNe49vvjOfh/RzAv+DJK0XwkpZ0rvU8zUV7KTqufBF2zU/iK/Z60Y7Beq6bOEG3BCH945nvbar4zrKb8bWzsjBVWycrgrIjVXR8soKkzzJ3vz0+6L2e6YXMfpgU2OcbckkRIurj0V1xh1Y844aEv877P7oSIlcJ20i8xz0VrrARf69HeUDeETrf/liQVzfy99eZR2BQ6UgGt8TkZG47gIbXg3JDmaUJgR6xWej0s9HpoMM+3StMQeWp4mY49Nx3QZ/t2zSt+3WgZ3PGQN8CI1SX7jGPquBr2nzSw55XXEbmKn6EVBawQNZwTuYSntn4WeeBmfPTHPfjlxv35v6O2WOevz6QhZXx+5V4csZVR51UQkwooU+R4HFJ1/riv4Zj4v46TKRJGKvVNJX+Lqc+1cNYzNXSEHBErwZLSH1ng81GpadzU0MgyMRCvItkplKlQZIltR1aae5G5Tj2N29RjCOPl7/JVHNBUyFsrVvHCitVc2NTC5sEQQpJY2j0ff+27FA5/hOJxf2W34UM4e2ANX4t3ePX24QQW3c8EaRG3z98P6YMbeGHLb3nYeyuHydPxEaEWw+J9m8BKHvTehr99OfdOW8DLM1fZVvPx9VVO1rbHpg4miwBZ90XSvQV0XVDfHs29bO7sO8HjFFZuxMplQ8JNWs0T+Y6ixPe7yIUSuuh2GFN0yzJrFYWbvQ+zV/g2e71uR43VahG1Kn9F250S3gVAyCqVcgtQhTePJ2vZrVtjWOpwLjy3uZUiIagXsbbdmdrC9jcEMNBx1/SwoYOpMVMdRyQpes4H8eLGmZ7T12x4U2iX3pCNtfOGxEV7bbK+h5BALpG/i/bahB1HV3H8Q18ARnQEkjv7rS/izSuckbf2oMoFe27Ce7Pr+GFFK5N8I/gyspRPCwPs3/EV8JuYfTkd+BraQ3YK2/GB53i7ohGQuGptExW6zk/6KLyKnDZaVGqmIg4oDSRdLkkSLRQjAeMiEca1Rji7tY16ReGRwGj+GxhHbXkdLVodTYrCjIICZljlbOJNAuMEZ4TLmTj7USaGwmznCzFVncVZ4g3GSSs4Onw9166+EY+iUhNq498tD8WdbxphFWd20ZwkAmQVIwRSRGaf+GIpq1q6Y6zfmzrXTcSqtXvdGGa4uOQDV1jF0V/m7JOuf6fX+yihy45GDVFVFvh8NCoKPsfdPQk9JhUw9vRlfLogLEsMk1cSsSNW+asHK3A4D+rAMo/xlnxz+SqGmaLj39r+Mdv0k5coa4QQFAjB0EiEFWZPsQbzfEeoESKOj+PGIEpcF6dfF/HmFRWFXu49YStOeDj/kfhfM5KUW+TP75GpKfHbj/ujGUC8eYUTSyhZdu7DBx/Bl0vvYHpBAccp38SsG1Z1nv82miJopQKW0EVX7XRUqZCdu7r5pvVw3hAVfCkmMEaR8HtTC6vrD5kIkLJdhSzBmribgAC1msaVnfOpaR3LmY3f0C1JLPR6mefzMtfnY47fyxyfjy5Z5vtAgO8DUeE2Ohxh++42tg/6OFt6CkUYv4lTpPlUdS2kDI0Tlff5v+eKWf3925yqdDBZXsiz2h58oW8Wc/5O4muuwOjnBcSIy7Cq4/PIdIRUrn3lp4T50bpKBbQiVkII3ptdx4RBpQyrLOyzY7u49Ib+983qkjckhB0JGhaxhJUcY+tdTWs0FVDodBB7Ny4gdMIo7Of5nIg53c/nm6bQvM3dJcs0KjIhWUYWgkEO04oQsQ5S/ak3VTb4zAnBXXVrOWLoIPv5Sk2jVBe8rW+batMNgviaKldW/bqIr7HaY9PaDfYmSH8m15t/hT6FmuKosOqP1vdOAw5fXCGQZfDgMY05XplRAoPhR7+Pu71fIVbNRBq8JQAPfLyQdx1NgNe2hwmpOseW/IfniwpRhODSlk6O03alEaOxsiRJCccE+M2Wgzlv97GMG2BE+51NmZ1ISPxLPZQmUcpJnvft5x9QD+Iczxuc6XkLMAybJoXDTAqHgU7wFqFH6lni9fCzz8dsv4/vA35m+/ws8nlZ5PPydFkJ0MWt6hAmhUJsFg4zteFCTipQGCPa+erHH9jON9c+5uHKZ4wMPoWEzgXKy5QtWw07nWkvTxax6gxb1zd6DVq6w9SWBFjR3JX0fZdLxOrxL5Zy74cLeOLM7RhbW5JyvWQ1Vu//Us/Zj38LwJJbDkq6XX9leVMXdW1BthlZ2fPKLhs0bo1VnujrCUQu+5+qzLJFk+Wut1ZRKJSid6/CeKMNgnXBq9rOMfuwnAEjsiBirpfPVMBojZVEnWJItmpNSyverj9kszRL+y+X7W/Ur20SiXBAR6f9/BZB4/UIk//Gva6BhMu6QnMIqysO2JQbDp0YY5nssn6pLPJRWhD9Zl1XttnZUO6IBsVHjyzLcSti1dhaiDdYiZAkPi8IID24m73ui9+vjNl2bUeIArWJH2oWADC4ZSRr9njJFlUA3WEtRlTY4/DIjB9YYkfgU0WsJAl+EqO5Vj2dRXq0Hu//1OP5Is7S3uL8krvgyuX8YfjLXNP5Jyo3uYHLhx3AM4e+yJC6Kzl2dQ21zWMoCZWgCMFaj8JHRYXcV1HO7wdVc9jICvYdNpinBzbycFkpMwJ+Wm3BLDhM/oxLvc9z2JxLoXEhfPUQRLqTRpo6QypCiBiTD6uGakVTd9LxN5viZ2FDB6/9sCqjNP1rX/6JNW1BLn1uVtr1kkWsps9v6HH//ZWzHvuGox+YwcqW5NfSZePBjVhtAOSaUbWjPJuPTPOKoZGosKqVol9OAsk2uPALwc9iZMw+LGEVlkDEpALmZ8JebJo5dMgydWbqh7MOKRnO3ikbkmwYVBbtD7N3ZxdvFRcBsHtX4hftxjAdXZfNiF3WP7Wl0WjI73YbA4CmR2tFP/3THut8TBsT4wYUM6+uI+ftywt9Mem5/TEVsMjv4fnf7YgkSXatz4GbD+TNH9dw6k4jAdhmRCWfzjdsyrWO8RCYwfTCAg7u7IJwJ/iKKPLHphHWtwfZpPQNfvb7KNJgdsPJrJAHA432OqnMH5Q4A6h4d0ifR+b83cfy7NfLkm6vI3NK+HIu8LzMhZ6X7edf17bnjYZqNvlwIQ1qATP0SRw3agpMPhuAsGctDzdcaq8/VfmGC8r/y3wlxM8+Pz/5fSzxeljtMf69XxRNjRsZjrBv8Fp2CtcxP+hlTCSC/MBUCHfAkum0dJ1oryujoyOjC8MgxNl0etrceh6bsYTakuR1ZU1dYbvZMMDAsoBt7tETS9Z2plwmhIgRf5awCmsb7i/j6tYgQsCa1m6GlCf2inPZeOh/36zrmf74sV3e1M02I7Lf7lBlBtdLwwBHxCrB9UjYNVYFSe42WeYSE5X5/CwZgsYrBCr5KXguMSde7bJMnemQV5tFTydvMt/YDYC9u7o5raWNVkXm4M7UPzC9ZZ3aq8cdy5emENxl4+OP+46noT3EUVsPs59zWl4PdicTveKSfcbx97fncuiWyftHxXP6zqP492eL7ceVhUZK9T+OnsznC9Zy8BaZ7WddE58qdfsxW3LiDs32hP3MXUdxh9ljqaNjcwqrZ/BZQQANUDrX0hTxMntVW8w+Wro6WVXzIwBbtQ3jTa0oIY2ty0yF+78jN2dpYxf3fbQQSEyZdIrTAaV+PvnTHvg9Cv/7Zrn9fCOljGaN/TiEj9vVozh8yyEMLVVY0wU3fLEpAHe+P99u7lzsEITxJhKfaNvwmz1O57evTwI6+FEfyb/0/Tit+D/87PPxs9/HT34fK7xelvi8LPGpzMAwoyrWdTYPhdgyqDB58dvUBifTxHiOVj7ib55H+EPkfL7SNyU0/2NEd3RaeMtbc0iGJBkpqY0dYW5/N9rv6uj7Z7D3hFoePGkbZFnil9VtDKsstI1SnKRz+msPqTEmGU9+uQyPLPVp36y+xmoGHd8k2mXjwxVWGwgvxaU2ZEIEUM0fAcsIolmWY4xpJaJ264EkwsqOWMnYNVZekVj3lCulTmFlir4BPUSsnJy/x1g+mdfAUdsMzct41hUycElzS8rlG0OsxxVWvy7KC308cNI2Mc85DS3c5sC9Y/9Jg9h/0qCeVzS57pDN2HPTWk58xDAPsWqDjtp6KEdtveF8Xwa8CjuNidbVFvk9fHnVXmz/tw/QukdQrOu0KAo/+32UrVjGoS/OjXOoFAwP38jsgGBgRKVNM6I1jXFOedZE/ththwPYwird+zaiCdtkw3lj6emai6lsuJG71MMdo5BZu/2fGDqsnLa6dhq++MReNreuHYBiR4PiZO58Ho8Mp73Fi//7D5c3HkQED7t2zONUzzR7nRZZZpbfx8yAnx/8fn70++iQZdOF0Ly5MeBRhoUDFIXX8nowwOnBx7kmAmX/a+ZypYbnuR0tzc3T8QNKmLOmncbOUEzDYDDqoO7+cAGarnPXhwsYN6CYdy/eLcWekhP/2gD8d8ZSfuO4qSCE2GAMkjRdEDbt/rtdYbXR4wqrPNEfLcC7HT8Ig1QNWQh0SaI5LsoTdLgCxuN07bNrrPIY1yu2hZVEvemQN0DL3Hq8psTPh3/cPW/j6WuuiZzGTd5He1yvP6bpZIs7kXbZgG8wr1fG1BSxsKGT03ceRUWhl1E1RTntxzJ6AGKa7W7oVNnnolDdWUlHSQvTCwr46umPadWnxKy7n/cjphevAWTGNk2grngE0BITzUtHWmGlRt/gztTn2y88gbbg0Ry5rIUvn5/Fmjaj95OVRhhI0S/LmcKYzEjDq8gwYifeGuAj0miYc9ygnswT2j7sKs/iCu8zlOs6U7uDTO0O8sSQa/lw7lheKDmfeQH4IeBnphnVavEHecFfzAslhilHmaaxRcjD5FCIfaTnODPyA/dHjuJ9fWuOVaYxVlrJ39QTKKGLm7UHuEfehuXtuyXNGrEiigDz6jqIaLq9XrHfY6dddoe1pHb/K5q7kl6fsON6b3HDu5yy40j+uN/4pOv2J5z1jN39sLbRJb+4t5Q3YrrNprseIQgIQaU5y2lUFAIYhglT5PkE5WiD4HgC5nNBWYqxW88Xa9VaAEKyzApTWNVmEbHa0HhGS15n8pWjMfM5u41m3IDUbknZ4JwSvHnRrnnZZybHcnEBUHVXWeXC/87ZkTuOncyf9h/PhXttknPanvPueFE/6lfVW5wmE7+07wXAp4UBqmhPWLeo+n06ZJnKUAHTO89K2+/Jyak7jaQ04OGsXUenXMfZbzI+eFIa8DJ1XE2MWLKFlS/51KuiMCp+kwVjLHHiNPkI4udnMZLX9R3t537UR/LXyAkcd9rFyLKPSztu4DdDD2CM/1LeWrGaaUtX8M+6Bo5tCbFVMIhf12lVFD4tLOCeinI+GzaTM0bpNI58msKBL7BLxZPsH3iXqfIPXO99nCntH/OI7zbWdoRtoVBOO0Ol5OYSk65/h8e/WGqcu8OUZGlT8jT4ZU1dMdfLosXhZtgeVLlnmmFG0hFSOfO/X6esc1vfOMWUmwq48eMKq42Y+BS/arN2aa2iMEZaDcCRyqeO9RInQVbdVbck22mF3jwG57y6B9k8xhyf8WMxIIsaqw0NNUWQ+BH1AAA2G1TKlQckd5DqLV6lb6XPoVsO6dP9u2x4xPe2csmMqmI/h08ZmrJZa6ZsP7qS6mI/O4yu3GDSprJF6xyPJOAnvx+/t55dN4mmDR63g8oHZYaQitTtj9/rYX59ZgYgfz50It9duw8Dy5IbNwAZ1fw4X0NLUCV7XSWJmD5jyT47VgQyWfRxhahhu+C9jA/+h0PCf+Mh7WA8HoWBpQEWi0HsMu9Yblowgo+1LajWdfZUFb6O3MYZKwYwY+kKzl4+gNMKd+CAjk4GqSq6JLHA70Gp+Jqraqo5cNhgfh7zAu8MWsgjZSV8E/DT1NVhClXBq75reM93GbU0J4wtpOpc+/JPQKzYT2VgYQmrw7caws5jq+znlzYmX//DOfW8/0s9l7/wI58vXJt0nfWJ85xdYbXx4wqrODameUC3HYkyvvyrHMLqCd/fAPCi9ZAKaAkryVFjlb+LFMJvC76g6b40KmzclXpd24FjQtfm7VgbAhvy2+/CPcdyxi6j1vcwXPoR6gbs4rUxUOjz8NkVe/DUmTus76HknWsOmsDwykKEWsqQbiNVckTF++w81BInOj91P4AuSezREWJV53b4PQqVWaREJrNfBzhvd8P10moaDKldUJ2phFYEpsjnSeiHVVXkj0mrS9apwGv+RqayfK+nIqH+2XKga+wMAxLnissJH/UEnPoGhaU13KSeyL/Uw3io42xG1p7NtQ1BXltWzwfLVnJ7XQMnt7YxORjCKwQhj8qMIg93VlZw2qABlIz/M51VtzF4wBPMLO1ipU+wtTwHDyrXeh7nYHlGzFj++f58Oh3CYkVzcuvxIUteZG/5W8bWFPPkmTswwHQcXdUaTFhXCEFDe7SFzI2vzU66z/WJ08K+O5x5qYPLhsmGX8jhkpL4iJVTWFVIhmuSQsQWNIEk3+QFyVIB8zj9vz5yCjXaPXZ9VaWmUaXrfKFP4ILIhfzaEszyXau3Lu9SexWZaw6aQIFXYdzA/KQyumzYbDa4dH0P4VePP0U9z4bOmbuO5sxdRzPyijcY3jqIFYULeKq0hMcXXMYt/J7aivdYGl5Osa6ze8NAXkXC75G587gteeDjhbz/S33M/o7dZliKIyVy2X7jOX674QytiDpdZvJNa0WqFFni48v2YHVrN/vf+SkAtY5oFZD0LpuVdZCqSXEyBpfHRtyGVZXimzQVgIFlM5khhnG7apz7klApB3gepqEjxHPiBvbRFrOP2Q4kDMz2+/jB7+eHgJ8f/D7qPR6UghW0F6zgatOBUNFfY2DoE+rDy9gn/Akft9fSHhoBeHjjgw+43vMh/1SPoIWSRGG1ehbUz+bkur9zsg8+KDsNMFIk69pCJKM9pFLfFhVcc9a0M6+uPet0+n9PX8zXS5q487gts/rMaLogGNHS1kV3h6ORTTditfHjCquNmC6zxsoSR1ZkqNF5F06KfsiT2q0nM6/I49x/iRjIHqrGz+ZvylgzWnVc+Bp+XaJq4zhXSZI2iGJil3XDxMFlPHXm9q7Vukuf8dfDJ3HvSwdTU/1PGrwK00K/cE7R/TxfuwSQuKiphXfCRwGGU+m2IyvZdmQlI694A4ASv4fnzt2RsTXFGR9TkiSGVRbGPZd8XefPqjMiVVbgpdBR9xbvopo8FTBqAGFx61FbUFHo48zHvgFgr01r+WBOPX85bBIAcpz5xt6b1dp/b2reACsv9NLSFWF1a5DWiEIIH+9q27CFbBh8rBWlVEgdbBkKMyLo45S2tQhgjaIwM+Bnlt/HbL+POT4fXTK0FjTzVIEpbGoeokxISKEqJkZWI4c7ODlYx91dv2OZs8Zq+p3w/vUxY91EXwCv3MKRegV/ZUeS0dwZpq4tNpL16sxVWf0OzVnTxo2vG5GuYxc2svv4WtqCEb5c1MRu42rSOtye+uhXzFzewseX7ZEQDW3qDFPoU9waq18ZrrDaiLFMKaI1VoZIWqtEv8wr5SYwbVWTpQIGktZY5TMV0Ghe+KH5eHzYslndOIRGtmxMqaguLgA7ja3ueSUXlxz57fYjuPqlgXgajqRg8PP8o6oCqpYCEnt0drFzW4CrdKMNQKOjd9WIqkKWNnax5fByNh3Y+8hqLj0V022T7KfAcgr0OJoWHz5lCD85+nZdvM84bj16sj3JH1gajVhdvPc4ztktasZx2s6jmDK8goUNHVz54o+saQvSZYqA+7VD+FifzM9iJDoSZ21XQyC4ltJBYzhr1bVI899lkKZR29HNAZ1GTZQGLPV6+NlnCK3Zfh/zfIbdO4G1vB/w8j4VQBPF/I1fNIlTXhhGddkIqme/SU1ZKVWaRo2mMVhVGfbSYQCcBdzNFpRLHewvf8Xn+kR+EsZ5NHdF7GjW7uNr+GhuA5/Mb0gQVrouuPrlnxhSHuCCPTeJWfaPd6IuhvXmvi546ns+mdfA5ftvyrlm6mc8XWHVblY9fcFaDp0cNZmZX9fOwXdPZ+q4Gk7cIdqI1LVb3/hxhVUCG8/Mtjuu8a/TvAKgiG6GKGuAIXiESPpmsKJd3bKE5ceTb2E1MRT9sduzK3nO9cbCbuNqYD0ZF22ktesuLi4uqK1TkCqmIwqMxrybhMPc3NDIPeqxCLOc3FmL89RZO/DYjCWcutPIvBz/tmMmc8q/v+LSfWMn9Jl+78avl868wums51FkSgLRX++SgCcmcnL+HmNp7gpz+JShbDcqtvmyzyOz3ahKuwbIEglgGC39KKIirLa6hrOmbm88+F80Ar1Z6FHGSqt47cJdUB6cyuiIyuiIys4dMvepB/FHZTqVvhXM8/mY6/Myz+djvtfLMq+HDgW+61gGHcugLDF1zyMEIyMRxoQjbBN6kCPVOWwa6ea34Xe5LHwe88UQmjtC1LUbEasdR1fx0dwGGtpD/LK6jcFlBZSZaZOzVrby9FfGj+9u42rZfGgZS9Z2ElQ1ZjgML1abdVyfzDMcDp/7ZnlKYeVsRB1fO/XCdysJqTrv/1Jn/O6bdLl26xs9rrDaSDlVeduusYo3r2g0hdW93rsc6yQXS1bEKthHfaxAYur/t3ff4VFV+R/H33dqeu8hARJqCE0QpIMoqGBZd63A4mL56YICrm0ti2VdLCur7i4W1rWhq6uCq4JAQIh0kN47BEJCIKSXyZTz+2OSSSaZQCCTEOD7eh4eknvP3LlzEsh8cs75ntIyHsgrIMpup3e553nUl4r7ByXBZ3WPK9ffXl5jVePjQJ+Gz8sXQoiLhUGnYXPoKTo2gbH90yg8nM4zuXnQ9w/8a1k3j4+JD/H1agXWLnHBrH/mmnNe1+pn0lNaYWdQrZFdj8UrKoPVwPYRpMYH0blypM3fVP1WrvZaH3+zgem3eu6DKrFnqHxYJb7GejKGT+P4kX08m3cDFkzs1yehi6geBfqX7Xrm2gexQ7XhX/ZRPGyfwx9sXzOstIz1jg501h0lFx/WGCIJNh8jV6/jlF7PycQ+ZJ8+RL69mAyjgTKdjv0mE/tNJgg4wXpCgVAMStHWOosbLBUc/dHKjRWd+YfuPgZXLOczzUFxgS+j3kqndUQgSyv3udyTXR2C3ly8l/d/25uhf11W53VmFZRRWF5d1r1VjSmftTcl3pZZ4Po4M98ZyA6eLGb6j7tJ23mi8jHw/ZbjrnZSvOLSJ8HqItZFO4Q/5axTdX84PG/8hNk652+AahevqFpjNVS/hd0655ttT9MAoTqUlek07Hh/jRWAEXg4v+Cs7S5lqommPup0Gu+MuYKSCjvRQWf/4SmEEBcbo16HzWFH2YJ46YZ/Q8ZaMAdSENge67JFrnbP3NA0W1lUOZ9iQT88PJAlu3IY16+1+wkPP5Orpg6aDXp+eLh6X8KaxSxqjl41lKefDZ1iAtmd7dwXbFD7CLcy9oQn878rZ/PTgt0Azk1+TX5s6/Uy363ZwSz7KGr+Wu8f9lv42dGNLBVODqEkhPlisTrIKbJwQ+ka/mz8N34+JnxGvMfXu8v4z9f/ZY35BbINevaPmMb+lW9wyKjngNHIAZORUp2OfSYT+0xVI3PZ+PFn/ni4ghtiLfQtL8enJI57TlVXFd6VVb3H2ZLdOaw/fNpjXxwvKGfr0brvR46eLuVXM1cyuH0k03/dFbNB7xasjuc7Z9u8l37QFaqqrD1U/VyyQfClT4KVl1yItTHzzM8A8Lj1AVbZu5BJJHfrl5ChnItTq6YC+rmClTMkFer1VAAmOOMeVlA9jbC8xg8Mb04FvNwoFAMtb9FGy2a2abrr+CqHs2xvU3Tt9V1jvX9RIYRoIcxGnfsb1kTnlDVTjfUs8SG+3D+4/s1+m8rZ/k9PigwgyUPhjCtah7LlmPsb/PrKv/sY9Sx9bCga51cFMtDHiKa53+u/77mSr345xt19E93216pSs+R7VRn5opQ7mbVybZ22Ch1bVDu39hEBZnKKLMx3XEWapTfPDUvit/7hnCw6wBaVzPbAwXTr0pW4PpNJ/uUn4nOWAfAby3O86vdXVhoj2W0yketXwWGDjeNGAwdMJg6YTHwWHEig3cI1pX9i1sKfSGg3ks3Zhej0eiaykFxCeHtJuNs9RpJHjJZH6oFvaXPkJ7poj1KMD3ecmA17xlO4aQUjy0r4cVMf/qjBjNt7sL1GsMoqKMPuUCzcme061iUuiB01pgvCxVW8wuFQpO06Qf/kcJnxcg4kWNVysWSGAEpdH79ufB+McJPlJf5i/MB1vLSyeIVf5ahTkMOBQSlsmsZpvZ4Yu71OSfbaam4QrK+cpmZo4k7KV/5Nev0LSSnnRo7HVKTb8RKc0ywukm8/IYRoMf559xXc8+E6nh2V4na8ZjW3pt4g3dseG9GRcH8TfdqGc/t7zv2gzrQdR9uIxv3cnPfwIF5buJtle5xri+JCfJl8Tft629ccJfOtrG5Y3/5atfka9W7l5a0YOF7mfGxOUTk2DMxPeZ1u13UCYFfqYwQuWctKRyqGtgO4/mA7rOhR6IgP8WVW6RRiDUdZ72Nmra8PK3x9OW408HMg/Jy9DLKXgRn8O8BXDgfxVhv6iuVcFROM1RpKlCpjsHaA1vbTBDoc2BwO/qZ7DYs9iK6WDPjPfLoALxvhScMXTNt6H6f6B9D+1BICtRACtTIG5xxjw/5W5JdaCfY18vGEPkQHmek3/Se3134xFa/4esMxnvhmK33bhvHl/3muyijqkmB1kXrc8GWdY/Ga+47jJVXl1iv/M9bh3Ccqx2Ag1xWs3Euy11azeIVeuRfDaCrXWP7apNdvyby9j5UQQlzqBrSLYPsLI+uM1tTcnLe+0Z6mVrvceUP5mw1Murp95boe5y/lIgLqjhx5S0pcEO+M6cX/zd5A31pFLjwJ8TBiVbVP19mYjfo60w+3ZeZTWG4lp7LASM1RssSOPeg7/59YMDGpTRhrDlZPrcvML+N57bf8R/cXRiRczXc5o8ncr8ffbzedA1YSa95PpkHPMYOBkwYDJTode80mMJcD5cAJ9gIrMABR1ObraEWgw4G/0mG2aUSrciJss/nm648YGWon1mYjxmYjpsLO7h9zgN9xbUo0PRJCcDgUOs19vVxLGbFSSvHBikN0iQumX3K4xzaz1x4BnFMZTxSWy3KCBpJgdZFqpx2vc8yI+z/YqhErf0f1NL9wu4McA5yq/CFTVZK9vjVW/pVTBIs1HebK8ZT6Qpi3nCK43nPnsoljS7fbkUAn3VG+sVfPlZdYJYQQ5+5sU+AM5xlwGuvlW1K56/01Zxz9ORNN09j2/EhsdkeDg8v58jXp+WRCnwa1DfIQrOIbuF+dTqu7rmvl/lyGv5FOXGUhjZojWh2iA/n4/4aREObL7DVH6lzPlDwIy00b8QuNpuyz7RRn5VBc2psTpb3ZGvMSQSd3Ac4lDccrQ1amwcAxo/OXzEU6HcU6jSKdjiKdjnydgfLKHF6m01FWVd7eCLvx/BqdFQy3M6DVi5hCbmdFZhEdTeGE+ShOlVV/7zU2WFntjvMq7V/biv2n+PM8Z78cmn6Dx/WBJZbqQhv/XX+Uh4ef3/dwbUop/rPuKEmR/lyV5DnUXcwkWHmJt6u5nc0A/Y46xyYbvnH7vLTyPwO/GkGodmXAs00FDKgMZcU6zfVbF2+PWG12JNFDd/Cs7eJDfHnh5i5efe7mVrPn7qh4jjH6xXxpH3bB7kcIIS4Hhgs0FTA1Ppgt00ac98gVuG8I3FJ4mgroY9SzZdoI3ks/wMxlB+p9rM2uPK7bOllkcZXEj6p1vqpUvK3G+5mYIB/6J4e7ikkAhAe4b9K7xdSTQTgDxFsRf+HJ+++hcO4b7Nq2i0f0CzFrNtLt3WgXF8HfMtpzpbaH4/2m8ci1nbhp+kfstAXw/vgufLRmJ2uPZNIxWpFQuIBsg569+mBiQos5ZTmJTWd3Vi80lbH1+Md8f/xjAIISNFqXRxBlMXOg9ArK7J1RGWvR0l+FoU9BwlmCrFLsXfQ+ltJCtsbdznPfbue133Tni3UZDOkQ6THsZBeUo3kIr39fso8DJ4t57TfdOVVcXYF574liOsa4l7svKrdy8FT1Bs5fbThWb7A6eLKYhDC/Bge+1QdzeXruNuJDfFn51NUNeszFpOX9axXnLVmX5fZ5aY3iFd3KZ7HV5/56g1V9YenflluA9Vh0OmyVbXzrKXRxvu6v+APrfSaetd2wTpFN/hu75lRAADPtt7gflCErIYTwupqb6ja3xoSqlqq+9VTBvkbCzzJl0epQZ51WFlXPebu9+ofk6j9eXWekJczf/bn/drQDg8zgUBoFMQPA5EfbG59i7M6fSKvoha9WwXJHNz66+kpu0jTS957kiZEd0Rv0lPh1RuWWEmJoi85iw1YUxthru/LxqgHsPu6sMvj52OE8NWcL6fv208lnPTcEzifDYGOPycQRo4FCPeB/ktP+QNgxdHzHwCUOUsstpC59gtYDHiXaL5pIv0gifSII2LcYbe9CLAOf4KgjnID/3UuHrMUAPLYuAIdK5LGvtgDwy5E8Hh7enjUHc/nX8oO8/KuuBJgNDP3rUgJ9jKx4cpgrcCqleCPNuRHyVUnhlNco9rJy/6k6wWpbZgFKOQN0QZmVjNOlnCq21JmOunR3Dr/7aD1jr0rkz7d0PePXtMqiHc6qiccLyrw2AteSSLCq5WJ4X2um4uyNcK6LAmfxikKcC1vDa20SXBWs6psKON86CFgPgP0se16dr5OEuj6eax/g1WsLIYQQF1vxipau5iiaxeb+y9Y7rkxgzsZjdSriVbHZHUQHVb9BT4rwdxsdATyOaIF7QRJP09dqZ9iNqgP3VDxBporg1nBn9cVgPyPfThyAUv259m8/A871a6nxwQyusZlveICZw7ml3Pbuatex6CAzXz3Yjz//sIvwABMxwT68/Ktu3PuRhV3ZIfzxut/xcNF8iOpM2eHl7Nv6CbtNJnaZjOw2m9hrNFGo07HKz5dVKhdWPON2v74OBxF2O/5zVlFqjWa0fQ8J/n4k2Gz0dfyCwWpln0qkAmewLSq38s6yA6TvPUlKXAYpsUGUWx2UWy0cPFlC51jnXmeF5dXT+hbvyqFjTHUlyhd/2El2YTmTh7d37YO2tbIiZb+kcPacKOLgyRJWHciluNzGNSlRRAU6g+/rC/cAMHtNRoOClVLKbY+vnCJLg6eQXiwkWHlJc9Yc+K1+0dkbAaWVhSn8VM2pgM7/AKv2sqoKX74Oz6NQek3Dz+FwTSuEpi1e8aO9YfO7L1UXQ7AXQoiLjf4SHDW6kGqGmopawSrAbGDeI4MY8681rNyfW+exNrtyvTEHuLtvIpuO5jNvq3PWTbCvsd7pj/cObEvazhPc0jPe43mrve57mWWOHgAk1tjst12UM1jMuL07mXllpMbXXdsd6ld3VC7Ez0Sgj5FXf1O96XJ8iC//mzSAI7mldIgOBLoD4Nt2MNFbFlGQH8R7tvHMNz2NTrOyIbgtm+3lZPtYOG7Qc0Jv4KReT5HeuZ7rqE7n3ODT9wQzCanx7OsIcKyhq9VBQVk7DpdeyfpjSezLcY6ebc8sIKtyPy2AfTnFrmCVW2yhvXaMEIpZuV/vmr5Z5f2fD5ISG8QtPeNZsD2LRenLeUC/hojYRzDqdRw8WcIj/9kEwMvz9Mwa35v+yRHOAFw5WSqroIzY4DOHpF1ZRWTWuMfsgjIJVuLCu1O/tEHtahevsCo9EbWmAhZWBqbAeoJVkfIlokaw0pSqdz2WN2iXeLQ4W9U/s+HSGhIXQoiW4FKbbtSS1A5WVZ4bncLt7652Gy0BsDocdUJLZI0pZjUDUG3hAWbSHh1S7/nebcKYtfyQx3MJYXXfwN96Rat6r1VssdU5Fupn8tDSWTzFGapq8Avjva5f8u+VzvuZbJ3Idfp1vHriLn5rWMTzhu9dTfMIYm7UBAbffAsz53zGsLL/cMKoIyMgnF98E7Fa9pFtMFCs07HXrAPzYXxDDjN55VeERuiIMXVn84lhaLaqETeNjMzjkPcp5O5H59eVuaaXCdDKmVDxGN9vuaL6NiknSTvOsdPtsdodvPjlcubonifGmEdpRRSz48ezYMsRQigmhxBKKuz8Zf4ufnh4EPnF1SFp3aHT3NzDc+CtsDnQNFi8y33z5OwCi8f2AEdyS5i7KZP/G5xcJwi2ZBKsLkK111LVp7RWKfVMFUG4PR+oDlZFlYEpqJ5gVUAAbR0Ocio/91GKpv29X/1XvxQqkZ/pJcSH+PLWnT2b7V6EEOJycaGqAl4OKjyMEgF0igli859GkLbrBJM+34i1cn2Uza7cRrwSw/zcphOeKVidzYiUaN66swdd44NZuuckC7dns+7w6fO67j3927iVdgf3MvMNUbPIxwJHHxY4nLNyVK/f4ThxhH3hwxmzrQenK/Q4MnQ8tM2X+TnDWWrtxfxbDMSmDGDufju/+i4ViwbLTB2xhWjsqchmg4+ZnWYTeUYHhG8CnCNKwUrh49AxJwt+tluIsNuJtqURFWoixqbnNtsHRFr2Mt/elz8MCKHj1pfxt53i8NbZLDkaxsTAA6zXWXDgj2P3JxR3j+D34R/QRjuJsvvwgeVWDpzuyPGvZvHvvAXcpz3FTfo1+KxZBj1er9MHJ4ssDH9jGVe0DiW32LmUxWzQYbE5yCooq9O+yvT5u1mwI5sAs4H7BjX/5t7nS4JVLZfSPkIlVWusKotNPG8bz7P2vwHVUwGrR6wUOSrE43UCaqyp8nMoMpX3y2N+aBtJT90+llYO2V9uDr8y6kLfghBCXLK6tgq50LdwybLY6i8hrtNpjOwSw/YXRtLpuQUoBV1bOafdfXpvHzZn5HNtSjT5ZVbXYxIaEaw0TXONmiRFBuBj1LmCVUM3MK5yXWosO18cScqfFrqOBZ3jNTxNJwQYc91gdL7L6Qik3VDBhysP8fZP+3mnspqi3hRKdJ+RoNNIisznWevvuEG3lrRWf+Kv10Uz4oPryT/t4EPHAIz+uzkalMPPvj5YdDocmkapXlEKnDR4HmGDzcBm3sgGogxADFDq/BNtBmqscTs6q3KLr6r3fgsxsJCRpUCbaIzq3/zXZiPetomVC/KIi+1NfEA88QHxxAXEsXxPBYXlNtfm05oGo7rGMmdTJtkF5fX23bZM5zqvnVme1+qB8z379sxCHErRPSHEdbzEYuPJb7bSq3Uov+7avCXdJVh5SUuLYxYN194LIZW/TcpSYa7iFYV6PVbcR6x+UzHN47VCaoxmhTnsOJT3p1S8YBt/1jYe1qkKIYQQ9fp+0kDSdmbz+6HJF/pWLjmRgWZOFlkYkBxx1rZmg56FUwbz5fqjrq/FoPaRDGof6bpWlcaMWNV2a89WfL/lOH3ahnssdnE2fib3t8nnulYvuJ6pgzVDXqi/ianXdmBnViGLdznnB6XEBbmqSSZF+jPbfi2z7ddyf0xriE8h7bqfmDJnn7OIRb5iYOF2HtWtJlML5ur+qfhumIFVb2eWGsYiXWeuiMxmb1ER+JTjp8sEQzE6FHoFms7IaZs/wZoDf4OZvDI9/gHhtAsxoMvciE7Z0ZRiB4nEGHMowk6hXkehTodN07BqGseMRo4ZjXBirfNPDTr0BCUHYa8IxWaNINY/lnA9JPoZOVLgi0N1QqfpcDgU2YXlRAaaKS63udZi7T1R5LEPTxVbGPfBOnZlFaLXaSyaOpjkSOfaudcW7OaHrVn8sDWLW1MHntPXrLEkWF2i8nXOqX4GpQioMQoX7HCgVwq7prk2xgNnsMpQ0R6vFWa31/jYgZ0LM1f9EhpMFEII0Qy6tgp2jZAI75r7+/7M25rF3X0TG9S+Q3Qgz41O8XiuoWuszpWvSc8XD/Rr1DUMOs1t/6xz4WnEqpuH70dN03jh5lRWHUintMLuVkwj0MdIVKCZnCILrcOdFZ7jYuOp4HDVo6lIHMLTh7sy9qpErrguldt/1tNVd4gf7SOwo2dNvrPlqG6xzNuaxVW6nXxgfB3f2E7sv342I97ZhuZnJDkxlJ1Hcnjp5i6M69cGTu2HJc9THJRMRrdHScldBHPu45QK4kXfx+hbsohh5tXsMkaQrbNTZKzgqF842Y4SMg0Gsg167JodTHnoTHmYOEgu8EUJ0BrW2L7mytkm4gLiKC7250SuLw5bBF2i2qDz0aGsoew7oWEvyEJfmgOx3V39smTXCXZVjmbZHYrVB3JJjgwgv7SCL9YfdbU7VVT/Oq6mIMHqIqWA18JCmB0cxA3FJbxyMtdtdVJ+jcBU87gOZ1A6aTCQq9eRVzklMKjWHOnHR3Z0ldEMdwtWduy4/wZmZJdoFu5wX5Ao6iHhUAghxCWgVagf/zfEOyOBNUesWoW2rCpxwb5Gcksats1NbSG+1e+XBrWPYO2h07z+m+4e28aH+DL91q68tXgfv65VVKNvUjg/bD1O7zbO7WnahvujadW/cH50RAfC/E0kRwagaRoJPYfz9c4TvHBjJ579drvrOlckhjJvaxZrHCn0tfyT7Q/8mmiLHdhGXqmVzUfzAegY46wmSEQ7uGM2AUAKQPxtzM/y5+mlheRbAllNBO3CAjnV+nY2/LKWGaZ3Id8Zdn6wX8Vg/RaKDRVkGgwcNxjINBjINBo5rteRaTRwQq+nwlHB4cLDAOhDQQ/sVeDf1nkLmkPPmP9a6FpeRps2N5HcbSo94hJdUwWrbMzIY+xVrXl7yX63NXsHT7qX8m9qEqxqOd/3vc29NmuDj5nZwc5v/PkB/kw5nY+PUkyNiuDm4hLibc5qNiEeFpVGVQar4waDaz+rGLt79Ru9TqNzbBC7sgqJtJ15xKrmZoD3DmzLBys8V+QRQgghhKgtIsBMcqQ/DtXyglVyZAC5JafP3tCDmsUrXvl1N8L9TfgY669wd3OPeI+V9Wbc3p1nR3V2bawc7Gfk1V93Y92h0ySG+dGnTZjbRtRv3NadCruDcqvDLVjFBleXuS/GD3Q6gnw0/Ex6SivsnK4MkLU3DK4putNV5C917u11khBWpr7I8E5RPLnOxF2On7hSt5ftjjb8UTeFgPKT3KBfyy+k8N8BxzD98j6aw4Yl9ko+OBTLvfrvOWnUuQWv4wYDmUY9mQYDOXo9Smdnh8nADlMgnF4Ky5ZitiZyRbkPr/sdxy9iEJMyBrEpI59VB07x4Srne9CqkcZDucVn/Bp5mwSri1S6r/t/PJt8zOw2mdjg68MGXx/eOOFcJBjsqA5F5ZUjTXE2OzvM8Gi0c26zUSnCPASw0d1i2ZVVSBtbdegKs9vZ4qj/N1RXtgnlzisT2JSRz8/7TvLD1oZVMBRCCCHE5Umv0/hx8mAADC2sNP6rv+nGpM838uB5jM4F1whWRp12xlB1Jka9zhWqqtzeO4Hbeyd4bK9pGmaDHrNBT6tQX47lOdcrRQTU3XhZ0zRig304UDmyEx/ie8ZCHx2iA9HrNOyV0yOTI/3pGh9MuL+ZqaW/Z7J+Dquj7+K5fqk88fVWPrDfQFywD+YbJkLf+2DPfHSpd/DaX9aTZu/Fr+wrOKDiWOrowe1xJ5lc/AUFpRaitHz8NeeUwrSAjqzEiMUvi+1mMxZjBquNsDoQOlr+x/iIZcw5/XumfGFDKbirTwJBPkbe+/kgh06Vnlefny8JVhepfSbnN32g3UGRXsdifz+36XxV5dRDaxw7omIAaF9RQZp/9RzmaJvN46qpqlG4DhXVQ+BdKip4xHbXGe+tfXQg7aMDuf3KBK5PzWL5vpO0Dvfn1QW7z+1FXoKUzAUUQggh6jC10H0c20b4M++RQef12CAfI3f0TqDcZneb7ticUmKDXMEqPMBEqJ+RvFKrW5vYYF9XsLo+NeaM1wv0MfK3O3qw9mAuscE+XJcag06n8acbU/jPugDmG5/j0Ws70iUuiCe+3uq8h7jKNWPhydD/Yapi2ybVnk229q5rO1IGkdv5IW54ezkaDh6+MpDP1x/nVHEwGg7mRMwivmwFy/x8mecXzGZfA3vMJvZElmGI+CvhRVG08hvIU9cNY+EO5+bUMhXwEtVH28VxwjmmorxyvUyD80t3b0EBb4aFstLXh9HF1d88G3yc/4Bja5VBzVTh3F2Yx8zQENexeA+lUmvObIywO3j61GmyDAb6lZWTS/0LgWvPiBzVLZZR3WIBmDCwDXM3ZvLUnG0Neo2Xon5JEUQEmDhVfH7ztYUQQghx8Xj1N90u6PO3iwpg0U7nOviIADPvjevN7z/b4FZIpOYvfe9qQDGSm7rHcVP3OLdjnqYxLpo6mL//tJ/Jw9tT230D27J41wkSwvxYvu8UAFe2CSMlLoinru8EONeEvb3e+d62d5twku7+lLJvJmE7UMzGk3eT2j6M0akb+WrrxxwwaRwLOgnMZdSXcxlgjGVUmB6V63mftaYiwaqWplgq1Vk7wn/NLwHQpvzzs7aPoIDb9Uv5yj6Ek4TWOe8AjlcGqxElpcwOCuKUQc+CGqNQP1V+HGtzXzuloQh2OJh2KpcXIpy1/btazl4x5a6ixs9RNRv03NknkVt6xvPPpfv5+0/7G33Ni42vSc+aPw4nfe9J7v34lwt9O0IIIYS4hNWcQhjkY6BP2zDWP3ONW/n51uH+rNzvHOGpKlnuDR2iA/n7XT09nnt2dArPjk5h9YFclu87hVGv0aNyL6qa0y7fG9eLEF8jfdqGoWkaPuM+YvpLiymy2egZH8+YvsNJDriV7+dOwxF9gFX6Qk7rdcy3Z0E02Mvq32etKUiwagZddQfP2iaSPE4SAmj84vMQAKP0axlVMb1O21N6PRU6Db1SxNrsDC4rY05gAIX66rm71sp/MHF1gpVT77LqMNWzvHlLUfoY9fxhRMdzDladY4Oa6I6al0Gvkz25hBBCCNHkRneL5fWFe0iJDXKFqdp7ek29pgMGncY9/ds0+/1dlRTGk9d1IjbYB19T3TVoI7u4T000G/TcfVUis34+yIjKc1d1SaZvyqdomoatvJANWz9myaEfWX8qDyoK2dUsr8RJglULMEq3hn+a3uZz2zCett3vOt5Fd4SnDZ+x0pFKusNZnvN+/Q9kGior+dnsGIBxBUX8L8Afu4d36x0q3OfRapXDvW1sNp7KPc1JvZ4BZZ53vm7qQocPDknm3fQDZ233yNXtCPYzcVefhu2VIYQQQgghnJWbV/3xanwM9RfOiAw08+LNqc14V9U0TeOhc9zA+8mRnZg8vL3bBs5VYdHgE0TfPg/Tt8/DPPDJLyzcdAC405u3fEYSrLykoRkkmtMEaqXsV9V7FDxu+BKAuw1L3YIVwAOGeTzAPJ6z3kOuCuIZ4+d8b3RO86sqqd7OauX1nFN8GRTIsNJSXgkPA8DscJDoYSpglTGFzVuCsrZAn7N/+2149hq3cu5CCCGEEKLhgnzqr/J3MdLpNLdQVZ9Xf92N3/aOYtCbTX9PVSRYNbO1PpMA6Fv+D07gDEBtdNWb6wbiuSzkS8aPXB8fq1xfFV8jNF1bWsa1pc6qL+0rrDweFcG4giJqj2HVNwPtlKp/mt1KexcG6HfUe14IIYQQQoiWJNTfRLdWIc36nBKsavHGRr/PGz4iRCsmhBL+abvZY5uOuqOccITVOe7L2dc7ZXoIVjX1KbeQnpHp8Vx9r+5nR92qNVVtN6r2DODCBKva84CFEEIIIYRoiSRYARxeCR/dAEAQ/6YQn7M8oK6+tl94xfRfZtpu5h7DItfxofotlKqGT2Vb5zPxrG1cwcrqOVidyWvWO3nD9G6d49oZJjPOso3iYcO3Dbq+7NIkhBBCCCEuRy1zN7bmVhmqAFYwgVcN72Pm3PYZml72En10e/jI9Fqdc35a3VGoT0yvcoW2l0n6ued8u5lGZ7BqVc+I1Zn84LiqwW2rBu8K8Xcd+9R2zTk/pxBCCCGEEJc6GbHy4A7DMrrrDgC/atLnmWN+/pwfYwVOVJZVb2iwett2i+tjCyYmVTzMP0x/d2uj6l195S5HhTSonRBCCCGEEJcTGbGqRyfdUecHSoGjeTcXK9RpHDLWzbzlmkaG0YBD0/BxOAi3N2w36fl291GqHxz9zvoYVc+kvoYGMNFwj43ocKFvQQghhBBCNJIEq7P5ciy8GAaHV0DBMcjcAA4H7PwOirJh3mPwfLBXn3J8bDQ3x8fyv4DqKXin9DqGJ8RxS6s4wFlivaERZ7equ/9Tur1usYqGkGDlfZOubn+hb0EIIYQQQjSSTAU8m90/OP/+aFT1sd73wi8fNMnTndLr2G8yAfBsZDibfMxMOZ3PQn8/CvXVm7t1sZzbGrDaDqpYhrD1jG08jVp5GseSqCWEEEIIIS53EqzORxOFKoDdlaGqyjeBAXwTGFCnXb+ycgAeqZhEuqMbW3weaNTzNrya35ljlBeq1QshhBBCCHHRkWDVghw1GPh3sHOj3uuLS/hNUTF/Dg/jkMm5Y3ZShZXfFBWjQ3F15WbA3zn6n/Gat1qe93g8TwWe9X48hSSZCiiEEEIIIURdEqwuEBuwycfMfqORI0Yjba1W3goNoUjvXPZ2a1Exfcot/C8zi70mI9vMJgaVlhNt91xIo0LpMWl1z21UngsjrHCk8ihf13t/tUPVYntPrtFv4hv7oIa9QC+RGCeEEEIIIS4GLS5YzZw5k9dff52srCy6dOnCm2++yaBBzftm3lsUsMzPF4NSJFht6IEPgwMxK8VmHzPbzXU3Dm5bYWVyXj5XlTv3vtKAjhVWOlZYz/hcehpWIbD63s4tstxnfQyz1YoF09kbCyGEEEIIcZlpUcHqyy+/ZMqUKcycOZMBAwbw3nvvcf3117Nz504SE+tWtmtJTuj1nNbriLTZOWY0cNRgYL2vD3M9rI+qoimF0jRC7XYKdDp6WCz8M/skAeexUOkP1od40zTT9fnP9q68Ybut3vYHVKzb54vsV57lGTQJVUIIIYQQQtSjRQWrGTNmcO+993LfffcB8Oabb7Jw4ULeeecdpk+f3uDrHM3eT2BJ/YGmNj+9jjJNw6LpsGhg1zT0CooPLEfnY6ZIp8OsFGal8HEoTEpRptNY7+PDCYOeTWYze8wNCx1RNhutrTaSrFZ+V1BIvM05fc8KGBt8x04/2Pu6Pv7WMZDF5Vew3cfZd3+2jWWvSqj3sYUEMKD8LcyalVCK2OBhyqDUoRBCCCGEEKJhWkywqqioYMOGDTz11FNux0eMGMGqVas8PsZisWCxWFyfFxYWAnDbT2PR++o9PsajxFaej6/4PcRGN+gSOqUIdjjI0+sJtdtpX2El0m7nhuISBpeVYwWOGI0k17P/1LmGKoCnrPe7fV6MH69Zbyday2Ovquc11ZBJZL3pSdNA18DZgjrt/FZCNeRxl2q402T1mBBCCCHEJaXFBKtTp05ht9uJjnYPMtHR0WRnZ3t8zPTp03nhhRe88vw+Dgc+laNSegUOreq4IsjhoELTKNc059+ViaNHuYXWVhvtrRUMLC0n1OHAirNTa79tNuLc1LcxHrc+wOvG9wHoUP4xFR7i2Ez7LY16DoCYIB/G9G2NUoo3F+87Y9unru/ErT3j+XTNEQCGd45q8PPc3TeRVxfsrvd837ZhhPqdT+Rs+Qa0i6BjdCApcUEX+laEEEIIIYQXaEq1jJ2Hjh8/Tnx8PKtWraJfv36u4y+//DKffvopu3fXfQPuacQqISGBnJxsgoIa/oZVp+nQznnURcM5nqI5h3eqKOX8vOrvmsfQKk+pGtfAdZ2qe1DKgabpUEqhaZrzbK37q/mZcr8b93YeXpanr3jtdtX3Ut245kuqr9259qOnbz9N0877eheTqq+vEEIIIYTwvsLCQoKDgykoKDinbHC+WsyIVUREBHq9vs7oVE5OTp1RrCpmsxmzh8p6ZrMvZrNvk9xn89A16dXP5b18zTf+Z3rc+QaE+h53OQSOy+E1CiGEEEJcLpr2Hfw5MJlM9OrVi7S0NLfjaWlp9O9/5k1whRBCCCGEEOJCajEjVgCPPvoo48aNo3fv3vTr14/333+fjIwMHnzwwQt9a0IIIYQQQghRrxYVrO644w5yc3N58cUXycrKIjU1lfnz59O6desLfWtCCCGEEEIIUa8WU7zCG5p7gZoQQgghhBCiZWrubNBi1lgJIYQQQgghxMVKgpUQQgghhBBCNJIEKyGEEEIIIYRoJAlWQgghhBBCCNFIEqyEEEIIIYQQopEkWAkhhBBCCCFEI0mwEkIIIYQQQohGkmAlhBBCCCGEEI0kwUoIIYQQQgghGkmClRBCCCGEEEI0kgQrIYQQQgghhGgkCVZCCCGEEEII0UgSrIQQQgghhBCikSRYCSGEEEIIIUQjSbASQgghhBBCiEYyXOgb8CalFACFhYUX+E6EEEIIIYQQF1JVJqjKCE3tkgpWRUVFACQkJFzgOxFCCCGEEEK0BLm5uQQHBzf582iquSJcM3A4HBw/fpzAwEA0TbvQt9NghYWFJCQkcPToUYKCgi7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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(10, 6.5))\n",
+ "\n",
+ "spectrum.plot(label=\"Normal packets\")\n",
+ "spectrum_virtual.plot(label=\"Virtual packets\")\n",
+ "spectrum_integrated.plot(label='Formal integral')\n",
+ "\n",
+ "plt.xlim(500, 9000)\n",
+ "plt.title(\"TARDIS example model spectrum\")\n",
+ "plt.xlabel(\"Wavelength [$A$]\")\n",
+ "plt.ylabel(\"Luminosity density [erg/s/$A$]\")\n",
+ "plt.legend()\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Plotly\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import plotly.graph_objects as go"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.plotly.v1+json": {
+ "config": {
+ "plotlyServerURL": "https://plot.ly"
+ },
+ "data": [
+ {
+ "mode": "lines",
+ "name": "Spectrum",
+ "type": "scatter",
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+ },
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+ }
+ },
+ "title": {
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+ },
+ "xaxis": {
+ "title": {
+ "text": "Wavelength (Å)"
+ }
+ },
+ "yaxis": {
+ "title": {
+ "text": "Luminosity Density (erg/s/Å)"
+ }
+ }
+ }
+ },
+ "text/html": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig = go.Figure()\n",
+ "\n",
+ "fig.add_trace(\n",
+ " go.Scatter(\n",
+ " x=sim.spectrum_solver.spectrum_virtual_packets.wavelength,\n",
+ " y=sim.spectrum_solver.spectrum_virtual_packets.luminosity_density_lambda,\n",
+ " mode=\"lines\",\n",
+ " name=\"Spectrum\",\n",
+ " )\n",
+ ")\n",
+ "\n",
+ "fig.update_layout(\n",
+ " title=\"TARDIS Simulation Spectrum\",\n",
+ " xaxis_title=\"Wavelength (Å)\",\n",
+ " yaxis_title=\"Luminosity Density (erg/s/Å)\",\n",
+ " showlegend=True,\n",
+ " template=\"plotly_white\",\n",
+ ")\n",
+ "\n",
+ "fig.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "tardis",
+ "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": "3.12.4"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/docs/analysing_tardis_outputs/visualization/index.rst b/docs/analysing_tardis_outputs/visualization/index.rst
index c98a32caae0..9f19e579c96 100644
--- a/docs/analysing_tardis_outputs/visualization/index.rst
+++ b/docs/analysing_tardis_outputs/visualization/index.rst
@@ -12,11 +12,18 @@ diagnostic visualizations.
.. toctree::
:maxdepth: 2
+ analyzing_spectrum/index
how_to_sdec_plot
how_to_liv_plot
tutorial_convergence_plot
tutorial_montecarlo_packet_visualization
+Analyzing TARDIS Spectra
+========================
+.. toctree::
+ :maxdepth: 1
+
+ spectrum-visualization-notebook
TARDIS Widgets (Graphical User Interfaces)
==========================================
@@ -30,4 +37,4 @@ Jupyter Notebooks, making data exploration much easier.
using_widgets
Generating Custom Abundance Widget
- Generating Data Exploration Widgets
\ No newline at end of file
+ Generating Data Exploration Widgets
diff --git a/docs/analysing_tardis_outputs/visualization/spectrum-visualization-notebook.ipynb b/docs/analysing_tardis_outputs/visualization/spectrum-visualization-notebook.ipynb
new file mode 100644
index 00000000000..841fafda023
--- /dev/null
+++ b/docs/analysing_tardis_outputs/visualization/spectrum-visualization-notebook.ipynb
@@ -0,0 +1,23048 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Analysing spectrum data\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import plotly.graph_objects as go"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Loading data\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Every simulation run requires [atomic data](io/configuration/components/atomic/atomic_data.rst) and a [configuration file](io/configuration/index.rst).\n",
+ "\n",
+ "### Atomic Data\n",
+ "\n",
+ "We recommend using the [kurucz_cd23_chianti_H_He.h5](https://github.com/tardis-sn/tardis-regression-data/raw/main/atom_data/kurucz_cd23_chianti_H_He.h5) dataset.\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "8631e24991b0439d9082379a606b8b1b",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "Iterations: 0/? [00:00, ?it/s]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "4ba4a9f43e8245788e993d3620ca1864",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "Packets: 0/? [00:00, ?it/s]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "Atomic Data kurucz_cd23_chianti_H_He already exists in /home/abhinav/Downloads/tardis-data/kurucz_cd23_chianti_H_He.h5. Will not download - override with force_download=True.\n"
+ ]
+ }
+ ],
+ "source": [
+ "from tardis.io.atom_data import download_atom_data\n",
+ "\n",
+ "# We download the atomic data needed to run the simulation\n",
+ "download_atom_data(\"kurucz_cd23_chianti_H_He\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "You can also obtain a copy of the atomic data from the [tardis-regression-data](https://github.com/tardis-sn/tardis-regression-data/tree/main/atom_data) repository.\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example Configuration File\n",
+ "\n",
+ "The configuration file [tardis_example.yml](https://github.com/tardis-sn/tardis/tree/master/docs/tardis_example.yml) is used throughout this Quickstart.\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "!wget -q -nc https://raw.githubusercontent.com/tardis-sn/tardis/master/docs/tardis_example.yml"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "# Example YAML configuration for TARDIS\n",
+ "tardis_config_version: v1.0\n",
+ "\n",
+ "supernova:\n",
+ " luminosity_requested: 9.44 log_lsun\n",
+ " time_explosion: 13 day\n",
+ "\n",
+ "atom_data: kurucz_cd23_chianti_H_He.h5\n",
+ "\n",
+ "model:\n",
+ " structure:\n",
+ " type: specific\n",
+ " velocity:\n",
+ " start: 1.1e4 km/s\n",
+ " stop: 20000 km/s\n",
+ " num: 20\n",
+ " density:\n",
+ " type: branch85_w7\n",
+ "\n",
+ " abundances:\n",
+ " type: uniform\n",
+ " O: 0.19\n",
+ " Mg: 0.03\n",
+ " Si: 0.52\n",
+ " S: 0.19\n",
+ " Ar: 0.04\n",
+ " Ca: 0.03\n",
+ "\n",
+ "plasma:\n",
+ " disable_electron_scattering: no\n",
+ " ionization: lte\n",
+ " excitation: lte\n",
+ " radiative_rates_type: dilute-blackbody\n",
+ " line_interaction_type: macroatom\n",
+ "\n",
+ "montecarlo:\n",
+ " seed: 23111963\n",
+ " no_of_packets: 4.0e+4\n",
+ " iterations: 20\n",
+ " nthreads: 1\n",
+ "\n",
+ " last_no_of_packets: 1.e+5\n",
+ " no_of_virtual_packets: 10\n",
+ "\n",
+ " convergence_strategy:\n",
+ " type: damped\n",
+ " damping_constant: 1.0\n",
+ " threshold: 0.05\n",
+ " fraction: 0.8\n",
+ " hold_iterations: 3\n",
+ " t_inner:\n",
+ " damping_constant: 0.5\n",
+ "\n",
+ "spectrum:\n",
+ " start: 500 angstrom\n",
+ " stop: 20000 angstrom\n",
+ " num: 10000\n"
+ ]
+ }
+ ],
+ "source": [
+ "!cat tardis_example.yml"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Running the Simulation\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To run the simulation, import the `run_tardis` function and create the `sim` object.\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ " \n",
+ " "
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/html": [
+ ""
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mtardis.io.model.parse_atom_data\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tReading Atomic Data from kurucz_cd23_chianti_H_He.h5 (\u001b[1mparse_atom_data.py\u001b[0m:40)\n",
+ "[\u001b[1mtardis.io.atom_data.util\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tAtom Data kurucz_cd23_chianti_H_He.h5 not found in local path.\n",
+ "\tExists in TARDIS Data repo /home/abhinav/Downloads/tardis-data/kurucz_cd23_chianti_H_He.h5 (\u001b[1mutil.py\u001b[0m:34)\n",
+ "[\u001b[1mtardis.io.atom_data.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tReading Atom Data with: UUID = 6f7b09e887a311e7a06b246e96350010 MD5 = 864f1753714343c41f99cb065710cace (\u001b[1mbase.py\u001b[0m:258)\n",
+ "[\u001b[1mtardis.io.atom_data.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tNon provided Atomic Data: synpp_refs, photoionization_data, yg_data, two_photon_data, linelist_atoms, linelist_molecules (\u001b[1mbase.py\u001b[0m:262)\n",
+ "[\u001b[1mtardis.io.model.parse_density_configuration\u001b[0m][\u001b[1;33mWARNING\u001b[0m] \n",
+ "\tNumber of density points larger than number of shells. Assuming inner point irrelevant (\u001b[1mparse_density_configuration.py\u001b[0m:114)\n",
+ "[\u001b[1mtardis.model.matter.decay\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tDecaying abundances for 1123200.0 seconds (\u001b[1mdecay.py\u001b[0m:101)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 1 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mpy.warnings \u001b[0m][\u001b[1;33mWARNING\u001b[0m] \n",
+ "\t/home/abhinav/workspace/code/tardis-main/tardis-code/tardis/tardis/transport/montecarlo/montecarlo_main_loop.py:123: NumbaTypeSafetyWarning:\n",
+ "\n",
+ "\u001b[1m\u001b[1m\u001b[1munsafe cast from uint64 to int64. Precision may be lost.\u001b[0m\u001b[0m\u001b[0m\n",
+ "\n",
+ " (\u001b[1mwarnings.py\u001b[0m:112)\n"
+ ]
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "48400658ec9c46ab8638c308ad14da21",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ "TqdmHBox(children=(HTML(value='Iterations:', layout=Layout(width='6%')), FloatProgress(value=0.0, layout=Layou…"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "a656028b05d44bcfafff44f6585a3206",
+ "version_major": 2,
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+ "text/plain": [
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+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 7.942e+42 erg / s\n",
+ "\tLuminosity absorbed = 2.659e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
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+ "\n",
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+ " \n",
+ " \n",
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+ " 1.01e+04 K \n",
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+ " 9.85e+03 K \n",
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+ " 0.211 \n",
+ " 0.197 \n",
+ " \n",
+ " \n",
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+ " 1.01e+04 K \n",
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+ " 0.117 \n",
+ " \n",
+ " \n",
+ " 15 \n",
+ " 9.71e+03 K \n",
+ " 9.87e+03 K \n",
+ " 0.105 \n",
+ " 0.0869 \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 9933.952 K\n",
+ "\tExpected t_inner for next iteration = 10703.212 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n"
+ ]
+ },
+ {
+ "data": {
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 2 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.071e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.576e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10703.212 K\n",
+ "\tExpected t_inner for next iteration = 10673.712 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 3 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tLuminosity absorbed = 3.391e+42 erg / s\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 1/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10673.712 K\n",
+ "\tExpected t_inner for next iteration = 10635.953 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 4 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tLuminosity requested = 1.059e+43 erg / s\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 2/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10635.953 K\n",
+ "\tExpected t_inner for next iteration = 10638.407 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 5 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 3/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10638.407 K\n",
+ "\tExpected t_inner for next iteration = 10650.202 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 6 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tLuminosity requested = 1.059e+43 erg / s\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 4/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10650.202 K\n",
+ "\tExpected t_inner for next iteration = 10645.955 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 7 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 5/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10645.955 K\n",
+ "\tExpected t_inner for next iteration = 10642.050 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 8 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 6/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10642.050 K\n",
+ "\tExpected t_inner for next iteration = 10636.106 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 9 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tLuminosity emitted = 1.052e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.411e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 7/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10636.106 K\n",
+ "\tExpected t_inner for next iteration = 10654.313 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 10 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.070e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.335e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 8/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10654.313 K\n",
+ "\tExpected t_inner for next iteration = 10628.190 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 11 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.053e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.363e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 9/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10628.190 K\n",
+ "\tExpected t_inner for next iteration = 10644.054 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 12 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tLuminosity requested = 1.059e+43 erg / s\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 10/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10644.054 K\n",
+ "\tExpected t_inner for next iteration = 10653.543 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 13 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 11/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
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+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10653.543 K\n",
+ "\tExpected t_inner for next iteration = 10647.277 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 14 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 12/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10647.277 K\n",
+ "\tExpected t_inner for next iteration = 10638.875 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 15 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.053e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.417e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 13/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10638.875 K\n",
+ "\tExpected t_inner for next iteration = 10655.125 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 16 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.059e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.445e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 14/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10655.125 K\n",
+ "\tExpected t_inner for next iteration = 10655.561 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 17 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.067e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.372e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 15/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
+ {
+ "data": {
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+ "\n",
+ "\n",
+ " \n",
+ " \n",
+ " Shell No. \n",
+ " t_rad \n",
+ " next_t_rad \n",
+ " w \n",
+ " next_w \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " 1.1e+04 K \n",
+ " 1.11e+04 K \n",
+ " 0.472 \n",
+ " 0.468 \n",
+ " \n",
+ " \n",
+ " 5 \n",
+ " 1.13e+04 K \n",
+ " 1.14e+04 K \n",
+ " 0.177 \n",
+ " 0.175 \n",
+ " \n",
+ " \n",
+ " 10 \n",
+ " 1.1e+04 K \n",
+ " 1.11e+04 K \n",
+ " 0.113 \n",
+ " 0.11 \n",
+ " \n",
+ " \n",
+ " 15 \n",
+ " 1.06e+04 K \n",
+ " 1.08e+04 K \n",
+ " 0.0858 \n",
+ " 0.0816 \n",
+ " \n",
+ " \n",
+ "
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+ ],
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+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10655.561 K\n",
+ "\tExpected t_inner for next iteration = 10636.536 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 18 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.057e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.365e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 16/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
+ {
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+ " \n",
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+ " 0.464 \n",
+ " \n",
+ " \n",
+ " 5 \n",
+ " 1.14e+04 K \n",
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+ " 0.175 \n",
+ " 0.177 \n",
+ " \n",
+ " \n",
+ " 10 \n",
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+ " 1.1e+04 K \n",
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+ " 15 \n",
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+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10636.536 K\n",
+ "\tExpected t_inner for next iteration = 10641.692 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 19 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.056e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.405e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\tIteration converged 17/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
+ ]
+ },
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+ " next_w \n",
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+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " 1.11e+04 K \n",
+ " 1.11e+04 K \n",
+ " 0.464 \n",
+ " 0.466 \n",
+ " \n",
+ " \n",
+ " 5 \n",
+ " 1.13e+04 K \n",
+ " 1.13e+04 K \n",
+ " 0.177 \n",
+ " 0.177 \n",
+ " \n",
+ " \n",
+ " 10 \n",
+ " 1.1e+04 K \n",
+ " 1.11e+04 K \n",
+ " 0.113 \n",
+ " 0.111 \n",
+ " \n",
+ " \n",
+ " 15 \n",
+ " 1.07e+04 K \n",
+ " 1.07e+04 K \n",
+ " 0.0848 \n",
+ " 0.0853 \n",
+ " \n",
+ " \n",
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+ ]
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+ {
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+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tCurrent t_inner = 10641.692 K\n",
+ "\tExpected t_inner for next iteration = 10650.463 K\n",
+ " (\u001b[1mbase.py\u001b[0m:652)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tSimulation finished in 19 iterations \n",
+ "\tSimulation took 52.30 s\n",
+ " (\u001b[1mbase.py\u001b[0m:542)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tStarting iteration 20 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
+ "[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
+ "\t\n",
+ "\tLuminosity emitted = 1.061e+43 erg / s\n",
+ "\tLuminosity absorbed = 3.401e+42 erg / s\n",
+ "\tLuminosity requested = 1.059e+43 erg / s\n",
+ " (\u001b[1mbase.py\u001b[0m:657)\n"
+ ]
+ },
+ {
+ "data": {
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+ " \n",
+ " "
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+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
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+ " \n",
+ " "
+ ]
+ },
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+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/html": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from tardis import run_tardis\n",
+ "\n",
+ "sim = run_tardis(\n",
+ " \"tardis_example.yml\",\n",
+ " virtual_packet_logging=True,\n",
+ " show_convergence_plots=True,\n",
+ " export_convergence_plots=True,\n",
+ " log_level=\"INFO\",\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "\n",
+ "**Note:**\n",
+ "\n",
+ "Get more information about the [progress bars](io/output/progress_bars.rst), [logging configuration](io/optional/tutorial_logging_configuration.ipynb), and [convergence plots](io/visualization/tutorial_convergence_plot.ipynb).\n",
+ "\n",
+ "
\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### HDF\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# import astropy.units as u\n",
+ "# import pandas as pd\n",
+ "\n",
+ "# hdf_fpath = \"add_file_path_here\"\n",
+ "# with pd.HDFStore(hdf_fpath, \"r\") as hdf:\n",
+ "# sim = u.Quantity(hdf[\"/simulation\"])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Plotting the Spectrum\n",
+ "\n",
+ "Finally, plot the generated spectrum with `matplotlib`.\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import matplotlib.pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[\u001b[1mpy.warnings \u001b[0m][\u001b[1;33mWARNING\u001b[0m] \n",
+ "\t/home/abhinav/workspace/code/tardis-main/tardis-code/tardis/tardis/spectrum/formal_integral.py:398: UserWarning:\n",
+ "\n",
+ "The number of interpolate_shells was not specified. The value was set to 80.\n",
+ "\n",
+ " (\u001b[1mwarnings.py\u001b[0m:112)\n"
+ ]
+ }
+ ],
+ "source": [
+ "spectrum = sim.spectrum_solver.spectrum_real_packets\n",
+ "spectrum_virtual = sim.spectrum_solver.spectrum_virtual_packets\n",
+ "spectrum_integrated = sim.spectrum_solver.spectrum_integrated"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(10, 6.5))\n",
+ "\n",
+ "spectrum.plot(label=\"Normal packets\")\n",
+ "spectrum_virtual.plot(label=\"Virtual packets\")\n",
+ "spectrum_integrated.plot(label='Formal integral')\n",
+ "\n",
+ "plt.xlim(500, 9000)\n",
+ "plt.title(\"TARDIS example model spectrum\")\n",
+ "plt.xlabel(\"Wavelength [$A$]\")\n",
+ "plt.ylabel(\"Luminosity density [erg/s/$A$]\")\n",
+ "plt.legend()\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(12, 6))\n",
+ "plt.plot(\n",
+ " sim.spectrum_solver.spectrum_virtual_packets.wavelength,\n",
+ " sim.spectrum_solver.spectrum_virtual_packets.luminosity_density_lambda,\n",
+ " \"b-\",\n",
+ " label=\"Spectrum\",\n",
+ ")\n",
+ "plt.xlabel(\"Wavelength (Å)\")\n",
+ "plt.ylabel(\"Luminosity Density (erg/s/Å)\")\n",
+ "plt.title(\"TARDIS Simulation Spectrum\")\n",
+ "plt.grid(True)\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Plotly\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.plotly.v1+json": {
+ "config": {
+ "plotlyServerURL": "https://plot.ly"
+ },
+ "data": [
+ {
+ "mode": "lines",
+ "name": "Spectrum",
+ "type": "scatter",
+ "x": [
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+ "linecolor": "#A2B1C6",
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+ "gridcolor": "#DFE8F3",
+ "linecolor": "#A2B1C6",
+ "ticks": ""
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+ "x": 0.05
+ },
+ "xaxis": {
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+ },
+ "xaxis": {
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+ },
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+ ""
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+ "output_type": "display_data"
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+ ],
+ "source": [
+ "fig = go.Figure()\n",
+ "\n",
+ "fig.add_trace(\n",
+ " go.Scatter(\n",
+ " x=sim.spectrum_solver.spectrum_virtual_packets.wavelength,\n",
+ " y=sim.spectrum_solver.spectrum_virtual_packets.luminosity_density_lambda,\n",
+ " mode=\"lines\",\n",
+ " name=\"Spectrum\",\n",
+ " )\n",
+ ")\n",
+ "\n",
+ "fig.update_layout(\n",
+ " title=\"TARDIS Simulation Spectrum\",\n",
+ " xaxis_title=\"Wavelength (Å)\",\n",
+ " yaxis_title=\"Luminosity Density (erg/s/Å)\",\n",
+ " showlegend=True,\n",
+ " template=\"plotly_white\",\n",
+ ")\n",
+ "\n",
+ "fig.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
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+ "kernelspec": {
+ "display_name": "tardis",
+ "language": "python",
+ "name": "python3"
+ },
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+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
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+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.12.4"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/docs/index.rst b/docs/index.rst
index 9daaf1a9a9a..f0f9897da6d 100644
--- a/docs/index.rst
+++ b/docs/index.rst
@@ -78,6 +78,7 @@ Mission Statement
:hidden:
analysing_tardis_outputs/visualization/index
+ analysing_tardis_outputs/spectrum/index
.. toctree::
diff --git a/tardis/visualization/sdec/__init__.py b/tardis/visualization/sdec/__init__.py
new file mode 100644
index 00000000000..e69de29bb2d
diff --git a/tardis/visualization/sdec/util.py b/tardis/visualization/sdec/util.py
new file mode 100644
index 00000000000..f59444ae6ba
--- /dev/null
+++ b/tardis/visualization/sdec/util.py
@@ -0,0 +1,368 @@
+import astropy.units as u
+import numpy as np
+import pandas as pd
+
+
+def calculate_absorption_luminosities(
+ sim, packets_mode, packet_wvl_range, species_list=None, distance=None
+):
+ """
+ Calculate luminosities for the absorption part of SDEC plot.
+
+ Parameters
+ ----------
+ packets_mode : {'virtual', 'real'}
+ Mode of packets to be considered, either real or virtual
+ packet_wvl_range : astropy.Quantity
+ Wavelength range to restrict the analysis of escaped packets. It
+ should be a quantity having units of Angstrom, containing two
+ values - lower lambda and upper lambda i.e.
+ [lower_lambda, upper_lambda] * u.AA
+
+ Returns
+ -------
+ pd.DataFrame
+ Dataframe containing luminosities contributed by absorption with
+ each element present
+ """
+ # Calculate masks to be applied on packets data based on packet_wvl_range
+ transport_state = sim.transport.transport_state
+
+ # Set up appropriate data sources based on packet mode
+ if packets_mode == "virtual":
+ # Virtual packets data
+ packets_df = pd.DataFrame({
+ "nus": transport_state.vpacket_tracker.nus,
+ "energies": transport_state.vpacket_tracker.energies,
+ "last_interaction_type": transport_state.vpacket_tracker.last_interaction_type,
+ "last_line_interaction_in_id": transport_state.vpacket_tracker.last_interaction_in_id,
+ "last_line_interaction_in_nu": transport_state.vpacket_tracker.last_interaction_in_nu,
+ "last_line_interaction_out_id": transport_state.vpacket_tracker.last_interaction_out_id
+ })
+ spectrum_delta_frequency = sim.spectrum_solver.spectrum_virtual_packets.delta_frequency
+ plot_wavelength = sim.spectrum_solver.spectrum_virtual_packets.wavelength
+ plot_frequency = sim.spectrum_solver.spectrum_virtual_packets._frequency[:-1]
+ plot_frequency_bins = sim.spectrum_solver.spectrum_virtual_packets._frequency
+
+ else: # real packets
+ emitted_mask = transport_state.emitted_packet_mask
+ packets_df = pd.DataFrame({
+ "nus": transport_state.packet_collection.output_nus[emitted_mask],
+ "energies": transport_state.packet_collection.output_energies[emitted_mask],
+ "last_interaction_type": transport_state.last_interaction_type[emitted_mask],
+ "last_line_interaction_in_id": transport_state.last_line_interaction_in_id[emitted_mask],
+ "last_line_interaction_in_nu": transport_state.last_interaction_in_nu[
+ transport_state.emitted_packet_mask
+ ],
+ "last_line_interaction_out_id": transport_state.last_line_interaction_out_id[emitted_mask]
+ })
+ spectrum_delta_frequency = sim.spectrum_solver.spectrum_real_packets.delta_frequency
+ plot_wavelength = sim.spectrum_solver.spectrum_real_packets.wavelength
+ plot_frequency = sim.spectrum_solver.spectrum_real_packets._frequency[:-1]
+ plot_frequency_bins = sim.spectrum_solver.spectrum_real_packets._frequency
+
+ time_of_simulation = transport_state.packet_collection.time_of_simulation
+ lines_df = sim.plasma.atomic_data.lines.reset_index().set_index("line_id")
+
+ # Create packets_df_line_interaction
+ line_mask = (packets_df["last_interaction_type"] > -1) & (packets_df["last_line_interaction_in_id"] > -1)
+ packets_df_line_interaction = packets_df.loc[line_mask].copy()
+
+ # Add atomic number and species columns
+ packets_df_line_interaction["last_line_interaction_atom"] = (
+ lines_df["atomic_number"]
+ .iloc[packets_df_line_interaction["last_line_interaction_out_id"]]
+ .to_numpy()
+ )
+ packets_df_line_interaction["last_line_interaction_species"] = (
+ lines_df["atomic_number"]
+ .iloc[packets_df_line_interaction["last_line_interaction_out_id"]]
+ .to_numpy() * 100
+ + lines_df["ion_number"]
+ .iloc[packets_df_line_interaction["last_line_interaction_out_id"]]
+ .to_numpy()
+ )
+ if packet_wvl_range is None:
+ packet_nu_line_range_mask = np.ones(
+ packets_df_line_interaction.shape[0],
+ dtype=bool,
+ )
+ else:
+ packet_nu_range = packet_wvl_range.to("Hz", u.spectral())
+ packet_nu_line_range_mask = (
+ packets_df_line_interaction[
+ "last_line_interaction_in_nu"
+ ]
+ < packet_nu_range[0]
+ ) & (
+ packets_df_line_interaction[
+ "last_line_interaction_in_nu"
+ ]
+ > packet_nu_range[1]
+ )
+
+ luminosities_df = pd.DataFrame(index=plot_wavelength)
+ # Calculate the area term to convert luminosity to flux
+ if distance is None:
+ lum_to_flux = 1 # so that this term will have no effect
+ else:
+ if distance <= 0:
+ raise ValueError(
+ "distance passed must be greater than 0. If you intended "
+ "to plot luminosities instead of flux, set distance=None "
+ "or don't specify distance parameter in the function call."
+ )
+ else:
+ lum_to_flux = 4.0 * np.pi * (distance.to("cm")) ** 2
+ # Group packets_df by atomic number of elements with which packets
+ # had their last absorption (interaction in)
+ # or if species_list is requested then group by species id
+ if species_list is None:
+ packets_df_grouped = (
+ packets_df_line_interaction.loc[packet_nu_line_range_mask]
+ .groupby(by="last_line_interaction_atom")
+ )
+ else:
+ packets_df_grouped = (
+ packets_df_line_interaction.loc[packet_nu_line_range_mask]
+ .groupby(by="last_line_interaction_species")
+ )
+
+ for identifier, group in packets_df_grouped:
+ # Histogram of specific species
+ hist_el = np.histogram(
+ group["last_line_interaction_in_nu"],
+ bins=plot_frequency_bins.value,
+ weights=group["energies"]
+ / lum_to_flux
+ / time_of_simulation,
+ )
+
+ # Convert to luminosity density lambda
+ L_nu_el = (
+ hist_el[0]
+ * u.erg
+ / u.s
+ / spectrum_delta_frequency
+ )
+ L_lambda_el = L_nu_el * plot_frequency / plot_wavelength
+
+ luminosities_df[identifier] = L_lambda_el.value
+
+ absorption_species_present = np.array(
+ list(packets_df_grouped.groups.keys())
+ )
+
+ return luminosities_df, absorption_species_present
+
+
+def calculate_emission_luminosities(sim, packets_mode, packet_wvl_range, species_list=None, distance=None):
+ """
+ Calculate luminosities for the emission part of SDEC plot.
+
+ Parameters
+ ----------
+ sim : tardis.simulation.Simulation
+ TARDIS Simulation object produced by running a simulation
+ packets_mode : {'virtual', 'real'}
+ Mode of packets to be considered, either real or virtual
+ packet_wvl_range : astropy.Quantity
+ Wavelength range to restrict the analysis of escaped packets. It
+ should be a quantity having units of Angstrom, containing two
+ values - lower lambda and upper lambda i.e.
+ [lower_lambda, upper_lambda] * u.AA
+
+ Returns
+ -------
+ luminosities_df : pd.DataFrame
+ Dataframe containing luminosities contributed by no interaction,
+ only e-scattering and emission with each element present
+ elements_present: np.array
+ Atomic numbers of the elements with which packets of specified
+ wavelength range interacted
+ """
+ transport_state = sim.transport.transport_state
+
+ # Set up appropriate data sources based on packet mode
+ if packets_mode == "virtual":
+ # Virtual packets data
+ packets_df = pd.DataFrame({
+ "nus": transport_state.vpacket_tracker.nus,
+ "energies": transport_state.vpacket_tracker.energies,
+ "last_interaction_type": transport_state.vpacket_tracker.last_interaction_type,
+ "last_line_interaction_in_id": transport_state.vpacket_tracker.last_interaction_in_id,
+ "last_line_interaction_in_nu": transport_state.vpacket_tracker.last_interaction_in_nu,
+ "last_line_interaction_out_id": transport_state.vpacket_tracker.last_interaction_out_id
+ })
+ spectrum_delta_frequency = sim.spectrum_solver.spectrum_virtual_packets.delta_frequency
+ plot_wavelength = sim.spectrum_solver.spectrum_virtual_packets.wavelength
+ plot_frequency = sim.spectrum_solver.spectrum_virtual_packets._frequency[:-1]
+ plot_frequency_bins = sim.spectrum_solver.spectrum_virtual_packets._frequency
+
+ else: # real packets
+ emitted_mask = transport_state.emitted_packet_mask
+ packets_df = pd.DataFrame({
+ "nus": transport_state.packet_collection.output_nus[emitted_mask],
+ "energies": transport_state.packet_collection.output_energies[emitted_mask],
+ "last_interaction_type": transport_state.last_interaction_type[emitted_mask],
+ "last_line_interaction_in_id": transport_state.last_line_interaction_in_id[emitted_mask],
+ "last_line_interaction_in_nu": transport_state.last_interaction_in_nu[
+ transport_state.emitted_packet_mask
+ ],
+ "last_line_interaction_out_id": transport_state.last_line_interaction_out_id[emitted_mask]
+ })
+ spectrum_delta_frequency = sim.spectrum_solver.spectrum_real_packets.delta_frequency
+ plot_wavelength = sim.spectrum_solver.spectrum_real_packets.wavelength
+ plot_frequency = sim.spectrum_solver.spectrum_real_packets._frequency[:-1]
+ plot_frequency_bins = sim.spectrum_solver.spectrum_real_packets._frequency
+
+ time_of_simulation = transport_state.packet_collection.time_of_simulation
+ lines_df = sim.plasma.atomic_data.lines.reset_index().set_index("line_id")
+
+ # Create packets_df_line_interaction
+ line_mask = (packets_df["last_interaction_type"] > -1) & (packets_df["last_line_interaction_in_id"] > -1)
+ packets_df_line_interaction = packets_df.loc[line_mask].copy()
+
+ # Add atomic number and species columns
+ packets_df_line_interaction["last_line_interaction_atom"] = (
+ lines_df["atomic_number"]
+ .iloc[packets_df_line_interaction["last_line_interaction_out_id"]]
+ .to_numpy()
+ )
+ packets_df_line_interaction["last_line_interaction_species"] = (
+ lines_df["atomic_number"]
+ .iloc[packets_df_line_interaction["last_line_interaction_out_id"]]
+ .to_numpy() * 100
+ + lines_df["ion_number"]
+ .iloc[packets_df_line_interaction["last_line_interaction_out_id"]]
+ .to_numpy()
+ )
+
+ # Calculate masks to be applied on packets data based on packet_wvl_range
+ if packet_wvl_range is None:
+ packet_nu_range_mask = np.ones(
+ packets_df.shape[0], dtype=bool
+ )
+ packet_nu_line_range_mask = np.ones(
+ packets_df_line_interaction.shape[0],
+ dtype=bool,
+ )
+ else:
+ packet_nu_range = packet_wvl_range.to("Hz", u.spectral())
+ packet_nu_range_mask = (
+ packets_df["nus"] < packet_nu_range[0]
+ ) & (packets_df["nus"] > packet_nu_range[1])
+ packet_nu_line_range_mask = (
+ packets_df_line_interaction["nus"]
+ < packet_nu_range[0]
+ ) & (
+ packets_df_line_interaction["nus"]
+ > packet_nu_range[1]
+ )
+
+ # Calculate the area term to convert luminosity to flux
+ if distance is None:
+ lum_to_flux = 1 # so that this term will have no effect
+ else:
+ if distance <= 0:
+ raise ValueError(
+ "distance passed must be greater than 0. If you intended "
+ "to plot luminosities instead of flux, set distance=None "
+ "or don't specify distance parameter in the function call."
+ )
+ else:
+ lum_to_flux = 4.0 * np.pi * (distance.to("cm")) ** 2
+
+
+ # Histogram weights are packet luminosities or flux
+ weights = (
+ packets_df["energies"][packet_nu_range_mask]
+ / lum_to_flux
+ ) / time_of_simulation
+
+ luminosities_df = pd.DataFrame(index=plot_wavelength)
+
+ # Contribution of packets which experienced no interaction
+ mask_noint = (
+ packets_df["last_interaction_type"][packet_nu_range_mask]
+ == -1
+ )
+
+ hist_noint = np.histogram(
+ packets_df["nus"][packet_nu_range_mask][mask_noint],
+ bins=plot_frequency_bins.value,
+ weights=weights[mask_noint],
+ density=False,
+ )
+
+ L_nu_noint = (
+ hist_noint[0]
+ * u.erg
+ / u.s
+ / spectrum_delta_frequency
+ )
+ L_lambda_noint = L_nu_noint * plot_frequency / plot_wavelength
+
+ luminosities_df["noint"] = L_lambda_noint.value
+
+ # Contribution of packets which only experienced electron scattering
+ mask_escatter = (
+ packets_df["last_interaction_type"][packet_nu_range_mask]
+ == 1
+ ) & (
+ packets_df["last_line_interaction_in_id"][packet_nu_range_mask]
+ == -1
+ )
+ hist_escatter = np.histogram(
+ packets_df["nus"][packet_nu_range_mask][mask_escatter],
+ bins=plot_frequency_bins.value,
+ weights=weights[mask_escatter],
+ density=False,
+ )
+
+ L_nu_escatter = (
+ hist_escatter[0]
+ * u.erg
+ / u.s
+ / spectrum_delta_frequency
+ )
+ L_lambda_escatter = L_nu_escatter * plot_frequency / plot_wavelength
+ luminosities_df["escatter"] = L_lambda_escatter.value
+
+ # Group packets_df by atomic number of elements with which packets
+ # had their last emission (interaction out)
+ if species_list is None:
+ packets_df_grouped = (
+ packets_df_line_interaction.loc[packet_nu_line_range_mask]
+ .groupby(by="last_line_interaction_atom")
+ )
+ else:
+ packets_df_grouped = (
+ packets_df_line_interaction.loc[packet_nu_line_range_mask]
+ .groupby(by="last_line_interaction_species")
+ )
+
+ # Contribution of each species with which packets interacted
+ for identifier, group in packets_df_grouped:
+ hist_el = np.histogram(
+ group["nus"],
+ bins=plot_frequency_bins.value,
+ weights=group["energies"]
+ / lum_to_flux
+ / time_of_simulation,
+ )
+
+ L_nu_el = (
+ hist_el[0]
+ * u.erg
+ / u.s
+ / spectrum_delta_frequency
+ )
+ L_lambda_el = L_nu_el * plot_frequency / plot_wavelength
+
+ luminosities_df[identifier] = L_lambda_el.value
+
+ # Create an array of the species with which packets interacted
+ emission_species_present = np.array(list(packets_df_grouped.groups.keys()))
+
+ return luminosities_df, emission_species_present