{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# LightCurve Class\n",
"\n",
"The `LightCurve` Class within SORA was created to reduce and analyze stellar occultations' light curves. Here we present some useful tasks that allows the user:\n",
"- set the model's parameters\n",
"- prepare the light curve to be reduced\n",
"- fit one or all parameters simultaneously.\n",
"\n",
"The documentation here contains the details about every step.\n",
"\n",
"This Jupyter-Notebook was designed as a tutorial for how to work with the `LightCurve` Class. Any further question, please contact the core team: Altair Ramos Gomes Júnior, Bruno Eduardo Morgado, Gustavo Benedetti Rossi, and Rodrigo Carlos Boufleur.\n",
"\n",
"**The** `LightCurve` **Docstring was designed to help the users. Also, each function has its Docstring containing its main purpose and the needed parameters to set (physical description and formats). Please, do not hesitate to use it.**\n",
"\n",
"## 0. Index\n",
"\n",
"1. [Instantiating the LightCurve Object](#section_1)\n",
"\n",
"2. [Set and/or modify model parameters](#section_2)\n",
"\n",
"3. [Preparing the LightCurve](#section_3)\n",
"\n",
" 3.1 [Light curve normalization using a polinomial fit](#section_3a)\n",
"\n",
"\n",
"4. [Automatic dettection of Occultations](#section_4)\n",
"\n",
"5. [Complete occultation light curve model and fitting](#section_5)\n",
"\n",
" 5.1 [Automatic mode](#section_5a)\n",
" \n",
" 5.2 [Fitting only the immersion](#section_5b)\n",
" \n",
" 5.3 [Fitting the times and the opacity](#section_5c)\n",
"\n",
"\n",
"6. [Viewing and saving the results](#section_6)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SORA version: 0.3\n"
]
}
],
"source": [
"## SORA package\n",
"from sora import LightCurve\n",
"\n",
"## Other main and necessary packages\n",
"from astropy.time import Time\n",
"import astropy.units as u\n",
"import numpy as np\n",
"import matplotlib.pylab as pl\n",
"import os"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"## 1. Instantiating a LightCurve Object\n",
"\n",
"The `LightCurve` Class can be instantiated in different ways.\n",
"\n",
"The LightCurve main goal is to reduce and analyse stellar occultations light curves, which is a file composed of two or three columns: time, flux, and flux uncertainty. An ASCII file can be used as input, where the first column is the time (Julian Date or seconds relative to a reference time), the second column is the flux for each time, and the third is the flux uncertainty (optional). Another option is to furnish theses parameters directly as NumPy arrays. If the time provided is in JD the reference time will be set as 00:00:00.000 of the occultation date, otherwise the user should add the user reference time.\n",
"\n",
"Other observational parameters needed are the exposure time for the respective light curve (in seconds) and the filter parameters (central wavelength and bandwidth, in microns). If the filter parameter is not furnished the default values are used: $\\lambda_0$ as 0.7 and $\\Delta \\lambda$ as 0.3 microns.\n",
"\n",
"If the parameters of the light curve were already calculated using SORA or other method, the user could instantiate the `LightCurve` by only providing the instants of immersion and emersion and their uncertainties, with no need to provide a light curve file. This is useful for example in cases where the user does not want to redo the fitting process and go directly to the chords and ellipse fit procedure within the `Occultation` Class.\n",
"\n",
"The user can also instantiate a `LightCurve` Object for the negative observations. In this case, it is just needed the initial and the end time of the observational sequence. In this case, an Error (and a warning message) will be raised for all functions in this module that require times and fluxes, but the object will be instantiated and can be used for other purposes."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\u001b[0;31mInit signature:\u001b[0m \u001b[0mLightCurve\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m''\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mDocstring:\u001b[0m \n",
"Defines a Light Curve.\n",
"\n",
"Parameters\n",
"----------\n",
"name : `str`\n",
" The name of the LightCurve. Each time an LightCurve object is defined\n",
" the name must be different.\n",
"\n",
"tref : `astropy.time.Time`, `str`, `float`\n",
" Instant of reference.\n",
"\n",
" Format: `Julian Date`, string in ISO format or Time object.\n",
" Required only if LightCurve have input fluxes and given time is\n",
" not in Julian Date.\n",
"\n",
"central_bandpass : `int`, `float`, otpional, default=0.7\n",
" The center band pass of the detector used in observation. Value in microns.\n",
"\n",
"delta_bandpass : `int`, `float`, optional, default=0.3\n",
" The band pass width of the detector used in observation. Value in microns.\n",
"\n",
"exptime : `int`, `float`\n",
" The exposure time of the observation, in seconds.\n",
" *NOT* required in cases *2*, *3* and *4* below.\n",
" *Required* in case *1* below.\n",
"\n",
"**kwargs: `int`, `float`\n",
" Object velocity, distance, and star diameter.\n",
"\n",
" Note\n",
" ----\n",
" vel : `int`, `float`\n",
" Velocity in km/s.\n",
"\n",
" dist : `int`, `float`\n",
" Object distance in AU.\n",
"\n",
" d_star : `float`\n",
" Star diameter, in km.\n",
"\n",
"\n",
"Warning\n",
"-------\n",
"Input data must be one of the 4 options below:\n",
"\n",
"1) Input data from file with time and flux\n",
" `file (str)`: a file with the time and flux. A third column with the error in\n",
" flux can also be given.\n",
"\n",
" `usecols (int, tuple, array)`: Which columns to read, with the first being the\n",
" time, the seconds the flux and third the flux error (optional).\n",
"\n",
" **Example:**\n",
"\n",
" >>> LightCurve(name, file, exptime) # dflux can also be given\n",
"\n",
"\n",
"2) Input data when file is not given:\n",
" `time`: time must be a list of times, in seconds from tref, or Julian Date, or\n",
" a Time object.\n",
"\n",
" `flux`: flux must be a list of fluxes. It must have the same lenght as time.\n",
"\n",
" `dflux`: if file not given, dflux must be a list of fluxes errors. It must\n",
" have the same lenght as time. (not required)\n",
"\n",
" **Example:**\n",
"\n",
" >>> LightCurve(name, flux, time, exptime) # dflux can also be given\n",
"\n",
"\n",
"Cases for when `time` and `flux` are not given.\n",
"\n",
"\n",
"3) Input for a positive occultation:\n",
" `immersion`: The instant of immersion.\n",
"\n",
" `emersion`: The instant of emersion.\n",
"\n",
" `immersion_err`: Immersion time uncertainty, in seconds.\n",
"\n",
" `emersion_err`: Emersion time uncertainty, in seconds.\n",
"\n",
" **Example:**\n",
"\n",
" >>> LightCurve(name, immersion, immersion_err, emersion, emersion_err)\n",
"\n",
"\n",
"4) Input for a negative occultation:\n",
" `initial_time`: The initial time of observation.\n",
"\n",
" `end_time`: The end time of observation.\n",
"\n",
" **Example:**\n",
"\n",
" >>> LightCurve(name, initial_time, end_time)\n",
"\u001b[0;31mFile:\u001b[0m ~/Documentos/códigos/SORA/sora/lightcurve/core.py\n",
"\u001b[0;31mType:\u001b[0m type\n",
"\u001b[0;31mSubclasses:\u001b[0m \n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"LightCurve?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Example of** `LightCurve` **intantiate with an ASCII file**"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# The file lc_example.dat contains time in JD and flux\n",
"lc_1a = LightCurve(name='Example 1a', file='input/lightcurves/lc_example.dat', exptime=0.100)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# The file lc_example_trend.dat contains time in seconds and flux, so it is needed a reference time\n",
"lc_1b = LightCurve(name='Example 1b', file='input/lightcurves/lc_example_trend.dat',\n",
" tref='2017-06-22 00:00', exptime=0.100)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# If the file has more columns, the user can set which columns to use. Always in a sense, time, flux, flux error [optional].\n",
"lc_1c = LightCurve(name='Example 1c', file='input/lightcurves/lc_example_colunms.dat',\n",
" usecols=[2,4], exptime=0.100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Example of** `LightCurve` **intantiate with NumPy arrays with times as Julian Dates**"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"first time: 2457927.38872249\n"
]
}
],
"source": [
"time, flux = np.loadtxt('input/lightcurves/lc_example_2.dat', unpack=True)\n",
"\n",
"print('first time: ', time[0])\n",
"\n",
"lc_2a = LightCurve(name='Example 2a', time=time, flux=flux, exptime=0.075)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Example of** `LightCurve` **instantiate with** `NumPy` **arrays with times as seconds relative to a reference time**"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"first time: 1185.6231406331062\n"
]
}
],
"source": [
"time, flux = np.loadtxt('input/lightcurves/lc_example_2.dat',unpack=True)\n",
"\n",
"tref = Time('2017-06-22 21:00').jd\n",
"\n",
"time_sec = (time - tref)*u.d.to(u.s)\n",
"\n",
"print('first time: ',time_sec[0])\n",
"\n",
"lc_2b = LightCurve(name='Example 2b',time=time_sec,flux=flux,tref='2017-06-22 21:00',exptime=0.075)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Example of** `LightCurve` **intantiate with the required parameters (positive)**"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"lc_3 = LightCurve(name='Example 3',\n",
" initial_time='2017-06-22 21:16:00.094',\n",
" end_time ='2017-06-22 21:28:00.018',\n",
" immersion='2017-06-22 21:21:15.628',immersion_err=0.010,\n",
" emersion ='2017-06-22 21:21:19.988',emersion_err=0.040)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Example of** `LightCurve` **intantiate with the required parameters (negative)**"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"lc_4 = LightCurve(name='Example 4',\n",
" initial_time='2017-06-22 21:16:00.094',\n",
" end_time ='2017-06-22 21:28:00.018')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**After the** `LightCurve` **was instantiated, some parameters can be easily retrieved**"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Name: Example 1a\n",
"Initial time: 2017-06-22 21:20:00.056 UTC\n",
"Mean time: 2017-06-22 21:21:40.007 UTC\n",
"End time: 2017-06-22 21:23:19.958 UTC\n"
]
}
],
"source": [
"print('Name: {}'.format(lc_1a.name))\n",
"print('Initial time: {} UTC'.format(lc_1a.initial_time.iso))\n",
"print('Mean time: {} UTC'.format(lc_1a.time_mean.iso))\n",
"print('End time: {} UTC'.format(lc_1a.end_time.iso))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**For cases where the immersion and emersion time were instanciated (or calculated), the mean time is between these values.**"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Initial time: 2017-06-22 21:16:00.094 UTC\n",
"Immersion time: 2017-06-22 21:21:15.628 UTC\n",
"Mean time: 2017-06-22 21:21:17.808 UTC\n",
"Emersion time: 2017-06-22 21:21:19.988 UTC\n",
"End time: 2017-06-22 21:28:00.018 UTC\n"
]
}
],
"source": [
"print('Initial time: {} UTC'.format(lc_3.initial_time.iso))\n",
"print('Immersion time: {} UTC'.format(lc_3.immersion.iso))\n",
"print('Mean time: {} UTC'.format(lc_3.time_mean.iso))\n",
"print('Emersion time: {} UTC'.format(lc_3.emersion.iso))\n",
"print('End time: {} UTC'.format(lc_3.end_time.iso))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**If the** `LightCurve` **were instantiated with times and fluxes, the exposure time and the mean cycle can also be obtained**"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Exposure time: 0.1000 s\n",
"Cycle time: 0.1002 s\n"
]
}
],
"source": [
"print('Exposure time: {:.4f} s'.format(lc_1a.exptime))\n",
"print('Cycle time: {:.4f} s'.format(lc_1a.cycle))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"## 2. Set and/or modifing model parameters\n",
"\n",
"In order to create a stellar occultation light curve model, some physical parameters are needed. First, we need to 'project' the time axis of the light curve in the sky plane using the event's velocity ($vel$ in km/s). Then the Fresnel diffraction should be applied. That diffraction works in a scale that depends on the object distance ($dist$ in AU) and the observational wavelength ($\\lambda_0$ and $\\Delta \\lambda$, in microns). The last parameter needed is the occulted star apparent diameter at the object distance ($d\\_star$ in km). In all cases, the user can provide each parameter with its own unit, otherwise SORA will consider the standard units described above."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Let's start with the shadow velocity during the occultation, in km/s**"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Vel: 22.0 km/s\n",
"Vel: 22.0 km/s\n",
"Vel: 22.0 km/s\n"
]
}
],
"source": [
"lc_1a.set_vel(vel=22.0)\n",
"print('Vel: {:3.1f} km/s'.format(lc_1a.vel))\n",
"\n",
"lc_1b.set_vel(vel=22.0*u.km/u.s)\n",
"print('Vel: {:3.1f} km/s'.format(lc_1b.vel))\n",
"\n",
"lc_2a.set_vel(vel=22000.0*u.m/u.s)\n",
"print('Vel: {:3.1f} km/s'.format(lc_2a.vel))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Now, the object distance at occultation time, in AU**"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Distance: 15.0 AU\n",
"Distance: 15.0 AU\n",
"Distance: 15.0 AU\n"
]
}
],
"source": [
"lc_1a.set_dist(dist=15)\n",
"print('Distance: {:3.1f} AU'.format(lc_1a.dist))\n",
"\n",
"lc_1b.set_dist(dist=15*u.AU)\n",
"print('Distance: {:3.1f} AU'.format(lc_1b.dist))\n",
"\n",
"lc_2a.set_dist(dist=2243968060.5*u.km)\n",
"print('Distance: {:3.1f} AU'.format(lc_2a.dist))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**And then, the observational wavelength, central value ($\\lambda_0$) and its bandwidth ($\\Delta\\lambda$), in microns**\n",
"\n",
"Default value set as $\\lambda_0$ = 0.7 and $\\Delta\\lambda$ = 0.3 microns, no filter (Clear)."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Observational wavelength centred at 0.700 with a bandwidth of 0.300 microns\n",
"Observational wavelength centred at 0.800 with a bandwidth of 0.200 microns\n",
"Observational wavelength centred at 0.800 with a bandwidth of 0.200 microns\n",
"Observational wavelength centred at 0.800 with a bandwidth of 0.200 microns\n"
]
}
],
"source": [
"print('Observational wavelength centred at {:1.3f} with a bandwidth of {:1.3f} microns'\n",
" .format(lc_1a.central_bandpass,lc_1a.delta_bandpass))\n",
"\n",
"lc_1b.set_filter(central_bandpass=0.8, delta_bandpass=0.2)\n",
"print('Observational wavelength centred at {:1.3f} with a bandwidth of {:1.3f} microns'\n",
" .format(lc_1b.central_bandpass,lc_1b.delta_bandpass))\n",
"\n",
"lc_2a.set_filter(central_bandpass=0.8*u.micrometer, delta_bandpass=0.2*u.micrometer)\n",
"print('Observational wavelength centred at {:1.3f} with a bandwidth of {:1.3f} microns'\n",
" .format(lc_2a.central_bandpass,lc_2a.delta_bandpass))\n",
"\n",
"lc_4.set_filter(central_bandpass=800*u.nm, delta_bandpass=200*u.nm)\n",
"print('Observational wavelength centred at {:1.3f} with a bandwidth of {:1.3f} microns'\n",
" .format(lc_4.central_bandpass,lc_4.delta_bandpass))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**With the model parameters, the mean Fresnel Scale ($F_S$) is automatically calculated.**\n",
"\n",
"$F_S = \\frac{1}{2}.\\left(\\sqrt{\\frac{(\\lambda + 0.5.\\Delta\\lambda).dist}{2}} + \\sqrt{\\frac{(\\lambda - 0.5.\\Delta\\lambda).dist}{2}}\\right)$"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Fresnel Scale: 0.881 km\n"
]
}
],
"source": [
"print('Fresnel Scale: {:1.3f} km'.format(lc_1a.fresnel_scale))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Last, let's set the stellar diameter projected at the body distance, in km**"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Stellar diameter: 0.20 km\n",
"Stellar diameter: 0.20 km\n",
"Stellar diameter: 0.20 km\n"
]
}
],
"source": [
"lc_1a.set_star_diam(d_star=0.2)\n",
"print('Stellar diameter: {:1.2f} km'.format(lc_1a.d_star))\n",
"\n",
"lc_1b.set_star_diam(d_star=0.2*u.km)\n",
"print('Stellar diameter: {:1.2f} km'.format(lc_1b.d_star))\n",
"\n",
"lc_2a.set_star_diam(d_star=200*u.m)\n",
"print('Stellar diameter: {:1.2f} km'.format(lc_2a.d_star))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**If the user instantiated the** `LightCurve` **object without times and flux and want to do it later (or redo it)**"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"lc_4.set_flux(file='input/lightcurves/lc_example_3.dat',exptime=0.30, tref='2018-05-20 00:00:00.000')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"## 3. Preparing the LightCurve\n",
"\n",
"With the `LightCurve` object instantiated, the user may want to improve the quality of his curve using some processes.\n",
"\n",
"For SORA v0.2 the only process implemented is the normalization of a light curve using a polinomial fit.\n",
"\n",
"Other processes will be developed for future use, such as the binning of the light curve (sum, mean and median), a Savitzky–Golay filter, among others."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**First, let's check the expected magnitude drop and bottom flux**"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Expected magnitude drop: 4.320\n",
"Expected bottom flux: 0.019\n"
]
}
],
"source": [
"lc_1b.calc_magnitude_drop(mag_obj=18.6,mag_star=14.3)\n",
"\n",
"print('Expected magnitude drop: {:.3f}'.format(lc_1b.mag_drop))\n",
"print('Expected bottom flux: {:.3f}'.format(lc_1b.bottom_flux))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Now, let's look at this light curve**"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_1b.plot_lc()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**There is a linear trend at this light curve.** \n",
"\n",
"\n",
"#### 3.1. Light curve normalization using a polinomial fit\n",
"\n",
"\n",
"The user can remove this linear trend using the function `LightCurve.normalize()`. That function can be used automatically or with the desired inputed parameters."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\u001b[0;31mSignature:\u001b[0m\n",
"\u001b[0mlc_1b\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnormalize\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mpoly_deg\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mmask\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mflux_min\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mflux_max\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1.0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mplot\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mDocstring:\u001b[0m\n",
"Returns the normalized flux within the flux min and flux max defined scale.\n",
"\n",
"Parameters\n",
"----------\n",
"poly_deg : `int`\n",
" Degree of the polynomial to be fitted.\n",
"\n",
"mask : `bool` array\n",
" Which values to be fitted.\n",
"\n",
"flux_min : `int`, `float`\n",
" Event flux to be set as 0.\n",
"\n",
"flux_max : `int`, `float`\n",
" Baseline flux to be set as 1.\n",
"\n",
"plot : `bool`\n",
" If True plot the steps for visual aid.\n",
"\u001b[0;31mFile:\u001b[0m ~/Documentos/códigos/SORA/sora/lightcurve/core.py\n",
"\u001b[0;31mType:\u001b[0m method\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_1b.normalize?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Let's try the automatic mode**"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Normalization using a 1 degree polynomial\n",
"There is no improvement with a 2 degree polynomial\n"
]
},
{
"data": {
"image/png": 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GjQ3fa8UNiLTuyNnOSeu8XsqXL6+allnMTF8L4cp47NgxW/JjhEAggCFDhtjShkTiCsNoM84nIaoYEIkfSiSgNNLUamCV7GQA+Q5C+JzdehdWhCilKRZpBxspgogWQiHlxhtvjCg7FivPUGicbgbhcxgwYIDu5yKsO0uWLJG1nTObpytXrpi6zwpaAx2hgNWtWzf+vnANJq3Y0UkxooEMV/kiaVCjBxKiigHRtO9XOPB4PJbV4UY6XuFzNvsunG7AtOIXlve9994zLXi4rYmSEo7Vk9FIhQoVdIcV1p2XX35Z1nZOSXOrxeXLlxXTsoJaPGoDHStaNbuwYkcnxe/3i9wPuL3CMDExMaIGNXogIaoY4Pf70bNnT/7Y7Q9FiB3GkUY75vPnzzs2pSbtlOvUqSN6zn6/H3fffTd/7Oa7MLuqqlq1avzvSBOKnMBuATYaFnhIV0/pRcl2TqrJ1ItTQpTaZsRqAx01rZrW4gy73rlROzqttHv16sX/dns7I7PCtptEX44JUwgNgO3+ULRsIpRwy9j93LlzqlNqVhpqqRBVuXJl/jf3XIQjxnA0WoFAAGfOnFENY6TMwg7277//NpstU2nbjR4h0E5tQ7Qs8DDSmQnfn9LUkLCOf/vtt7rjPnnypO6wRmjbtq2qd/f+/fvzx0IhRU7A0sLpd/7pp58iJSXFlrTdHlhHo30tCVHFEDs+FL2rcJQ+WjuNI41Svnx5x1ZoKXU+wucydepU/rzTjRaX7u7du0OumdVEcUJURkYGli9fLkorFrFzPzg1b9x2obX6TQ9mhajnnnuO/61knC7cyFkOYT167bXXLG/7AoRu06PV3tx66638b+FAx+/347777uOvCZ+TXN7CsZCkX79+isbvtLef85AQVUywe9rFaoNhp3GkHGrasDJlyji2QkvuOWv5lXIKrXSNdEjCsD6fj49bSKw20HYJUU5545ZidipOiFkh6p577uF/P/3004a1rNJ6xRizvO0LoOw1W6m9KVGiBP9b2i60bt2a/71y5UrNdMOxkESurY3GBUWkiSKKNUY+WjuNI6V8+OGHmtowYeNev3590bGVD1mu81Gzo3BS6DCyKkprh3VhZ+/z+Uw30JyQaaeXa6exK39KtjZ2Y4ewblaIEv42YpzOYYegKTeAMtreCIUoKcIyamnVnGznpEi/PzmD/khfUHTlypWItxeUQkIUYQq5jkVpuWzZsmVDPgyrTgaVMKPCtlNLJxeXXEPK4eSoUM2fFQDMnz+f//3MM8+oTsdJhSgrnUMgEMC6des0w0UKdglRfr8fvXv35o+5Om83duRXrt4YdQliRlC2uu2L0mbOSl6zldobM8KtXN6E092AsnsQKWYM0YXfX0ZGBtq2bSsSSPWmrUQ4BjsnT56MeHtBKSREEZbhPi45/0n33nsv2rZtK/thCAUOKwbWwnjMTBNKVwBZQa7z8fv9GDhwoGx4J0eFav6sAGDEiBH8b27aRKnRFvrr8fl88Pv9qF+/viiMngZ6z549SEpKQp8+fURpRzJ25s/JBR4cTghRaraOSsKSsAMXnlcbtCg5/ZSLR4rRzZzVnr0dGkK5KW8AskbgQqFJ+Kzr1q2LKVOmaKYlFJCUpvEnT54cNe4DpO8ukle0khBVTAiHTRQQ2jB98cUXilohYRx6R0daH5OchsTr9eLEiRP8sfRZSB36WemElJ6z0BhViNOG5WqNppHpOKkQBQBVqlTRnRZHZmZmSLqHDx/WvM9N7BSizNR5K2mYRShEaGl3lYQos/kQ1qNRo0bp7vjttLO0QxMlNzUZDAZD8iMVmoQLbhhjGD9+vGgxihwZGRn8c1Kaxr906ZLhMrkJ9+4ifUUrCVGErWiNFNQaNS0BSe/+W7Vq1eJ/ezweMMbQr18//py0sbPTK7JUiOLSikR/SkbsJaTTeYB9S/9zc3Nticcp7BBKAoEAFi9ejN9++010LjMzMySc8JqZkbfdmiglO6WsrKyQ9IS/9+/fLytoGUFqV6W1PZEUszZAQpsoadnz8/N150frG5MKqIwx2TgnTJigWheEAxolNww1a9ZUvF8JNzVAnClIpK8wLBZC1Jo1a9C7d2/UqlULHo8HX3/9tWr41atXw+PxhPz973//C0+GowClxkNuFYwQpUZNz15VSp6C//rrL5EaXOhIjxOihFy4cEF0/Pfff2t+lHobEyUbpEh0Ivfuu+/yv7XsJYSCJrepsl0ry+xYkm8WPcKtVaEkIyMDdevWRb9+/fDVV1/x57n6LiQpKQmDBw+WtevRix1ClPC5KNnW9e/fPyRvwrQXLlzI599snqT3aW1PJMSKnaVQEyWs+xkZGXjjjTf44yVLlijmTc8+jXoXf8hpsIRINZyPPfZYSJiqVatqpiNE2iZv2LDB0P16kfsGvV4vRo8ejQMHDkT8CsPIa9kd4Pz582jevDnef/99Q/ft3bsXR48e5f/UDISLM8IPWO0ZqTVqWqMNtcZm8+bNIWpwDrl7zp8/Lzo+d+6cZmelV52s1ClHohDVtWtX/vcrr7yiOm3y8ccf87/79OmDjIwM2zRRQs1hONA7irVjFM75Q5Pr/OWeXzAYxIIFC3Tb9chh9+o8v9+PmTNnyqaTlpYmmo6VbsjrlOZA6d3YZWcp1EQdPHiQT3Po0KGid/niiy+qxiNNX3qstfiDQ0ujJq1fnTt3DgljRBsuN2hdtGiR5j1mvhclwXjq1KmiGQSOSFthGHktuwP07NkTr7zyiqJdihLVq1dHYmIi/+fEcmQzRIKRnVLFlxsNcmRlZSk2alqjDa3GRkkNLndPuXLlVJ3vqXV4Wp1CNGmirr/+ev63nDNOjkAggPHjx/PH3DMoLCy0JR/hNCznRtccQls5uXBdunTBddddpxqn2vcoZ6djFKMjb7ttogBg8ODBsuGKiopw4MAB/vjQoUOyYYzkX61dY4zptpGxYnP2448/8r8bN26suJGyVYFVTlv14Ycfio6Fg0+5KWC5fFg1HzC6abTddktqab/++uuue1YXEnktewTRokUL1KxZE127dpWtuEIKCwtRUFAg+nOCSDGy07vaRmgDkpiYqDt+6WjD7/fjhRde4I/1CiVC1TtHmTJlDDvfk4bj7EGkRJomSq1DFTZUn376qWLnpWQTc/HiRcfzaCdyq5aEdjtK4dQa9Dlz5qja6dmhvTY68rbjeZ49e1ZXnD6fT1Tu2rVry4Zp0KCBrnQ//PBD1K1blz/+5ZdfRG1vfn6+qtbaDtvDQCCA9957jz/m0hAKVhzC9OwwpO/UqVPIQJPTqAnbfil6hCgjz0ZrexvhN2PVM7rRd9aqVStD4Z2GhCgZatasifT0dHz55ZdYsmQJrr32WnTt2hVr1qxRvGfy5MlISEjg/+rUqWN7viLVjb9eOwW9jYySfY5Qk7h69eqQ++Q+xrFjx8qmYcUI1ePxiPbWEhJpmii9z1zN5kLJQFbNIWEkojS6lpZb7yg8EAggLS1NVdjy+/0ioUALj8cj6iTM2PWY7cyFA7KpU6dqbrfC5U1osCzcnBr451sWCldKnabcdNmPP/4oEhr++usvx21klFb5vfbaa7aloUSZMmVCzqm5LeCweyDi9/tx++23K14XPu9wekb3er0RNZUHkBAly7XXXoshQ4bgpptuQrt27TBjxgzccccdqstMJ06ciPz8fP4vLy/P9nxFkht/Mx+tkXvkfKkIG9/mzZuLrvl8PsyZM0d3/GpGqHryqdSYKa3O0ytE2T1VKze9Ioda4+T3+/HKK6+Iws6ePdu26e1waaKUtELScuvVHumdqpO6glDjqaeewoMPPsgfa9n1yKVv5nlytlvCOIYOHaq6uo7Lm5JvKOCqLZ00/2qLUrTyHhcXJ+v13c6OVU4LI7dABbDf875SO6El2EvTtkMjJ/RpJkX4vPWsQrSLnj17RtRUHkBClG7atm2ruvKsVKlSqFChgujPbsxW1kAgILuM3K4OW63xMNPIKGlFhA2DdGXYli1bdBuRShuYuLg43UaogwYNUi2HFU2UE1O1WqslOR588EHVxqlv377870WLFiE1NdU2w/JwCVFy5WvQoIHI1iQQCMDv96Nt27Z8GCVh0YmFJgkJCaJjrQ7DLiFq/fr1IfcFg0FZNwbSvKl945xmSk+etKaQgKuOcXv06MEfc6u4tDDSxvn9fjz11FOic0r5t1vDfOnSJVnTET02oVooPVsz9UVYL5UcpNoh7EjL/MMPP7g+8yKFhCidbN++3ZSfDTvx+/2iuXo9bvy5jnnhwoWy56Udtl7ByklNlJJgKGwEpL6djKzwkuaD88CthwYNGqg2Zkp2Qlqdg1NTtXptUW655RbV60KBiesYw72hshPUqFFD9lto2rQpH2b79u2y9/r9flSvXl0zDSPfipLGwwhOCKV6B0p6ppuUvgW/3y9r7yOkUqVKogURwNWpR+69ycUtXUygh5tuuinknFzc//73v/nfdgi0K1eulH0GarseCNPh2m/ODYkVjGizhAPQu+++2zbP6HKG/Er2qG5RLISoc+fOYceOHdixYwcA4MCBA9ixYwc/1TFx4kQ8/PDDfPjp06fj66+/RnZ2Nn7//XdMnDgRX375pWibDLcQrpJZs2aNamVVmkffvHmzbIfNNUZ6NCF6O3czmiglwVBYDqkQtXbtWrz55pu64tdCLZ+VKlVS3Url6NGjsue1RqxOTdXa5T5A7xJ9u+IOF4WFhbLfgnArILX8lS5dWvEa16E56SlaLm9y6WkNkuSEaI/Hg3bt2immw51T+8aNChZC4VWO8uXLywpt3HuTxq1lS6SEnBd9uXzfe++9svdzz9kus45AICByMyKXN+FgQK6vCpfDX6Fdl9JqQr3o9U/mJsVCiNqyZQtatGiBFi1aAADGjBmDFi1a8KOIo0ePimxHLl26hLFjx6JZs2bo0KED1q1bh++//96wiwSn0dKMKc2jr1u3TrbDHj9+vC5NSEZGBho3bswfL1u2TFd+9XaWcoJhIBAQjUCk03n3338/JkyYIHufFDl7ByOYGWVpCVFaU7VmBQ29nYfWM5DrKGNBiLp48aLst/D777/zx1y7IUepUqUUr3Edmpr7CDmMPA+5sNKVdQA0B0l+vz/EBGHOnDmyU3Yc3HMTDhzCYfisFJe0TcjMzMT69etN1VO5wYdeG0ChMCPdX9IsWjZRJ0+eDPF8LmXFihWG0rQqdKmtJtTL//3f/4WcCwaDIns9tykWQlTnzp15P0LCP24X+/nz54tWe40fPx45OTn4+++/cerUKaxduxa9evVyJ/MWUJpHv/XWW2XPy61IkWpC5EZ27777rmKFtsPwkvsYhYaverdqMaPJOXPmjOI1j8dj6uPVYzsxZswY0bEddgV6n7lWOLnNZGNhOi8+Pj7knMfjwdatW/ljtXKWLFlS8ZqZ52O049L7fouKijBhwgTVQZJQq/Z///d/SElJ4bVWculcuXIFGRkZaN++PX/uhx9+0Myn1c5Zzd2CkC5duiiuotVCuhiAW3iixs8//yyr5bcDLXuxo0ePaqb1/vvvh03wMKsBlCLcqFxIJE3rFQshqrgi58gNAFq3bq06JcUhZ5ukd1NNOcyuGpL7GGfNmqXrfqMrRDIyMvDSSy8pXs/KyjJkX6FndR4nJApXf7Zo0UJT46XHfs1JbVG0aKLUnpOcEKXkuDUc5Ofn82YHduL1ejWni4Vl/uOPP0RaqwULFoTEefDgwZBv85133hGFMSow6dGIytU7TshRWh1rFOl9WVlZsvaFwnB33XUX2rRp48jgwu/3KwoUwFXbPq2Bmp52WvitWBF2jTrrVCISnRRLifwcEoroaSCUOmKtDtrr9WLy5MnIzs4WdT5y2i3h8nhpR2VVE6X0Meq1fzKiyZHzUyPls88+s1XDYHbENmfOHF37q+mN9/Tp06oCmZPTeU4incKKdN5++23RIhAt2w+939Trr7+uubJXGNd//vMfkTZl1KhRIXHu3btXtwdvYdzHjx9XzKeejlsuDTl3C1aQxtO2bVvZaSlpWZwUvm+++WbFaxUrVlT0icehx8eS8FtRWlChB7tWrioJUUJ7PbchISrKcOIjlWu40tLS8Mwzz4R00n6/H88995wo7MiRI+H3+zF79mxVx4Jm8q40JenEc9AzerI7XaU01byBc04ehcLM0KFDZcPqNWz9v//7P1WBzMnpvCNHjjiyjdGUKVMwbtw4y1MrarYwThvraq3Q1Fsfx40bp7kMXW3AI/fs4uPjQ75NPcvo77jjDl15VopHzd2CEU/dagKqnvID+v2wOQ1jDD179lQN8+STT2oOKoXfytKlS03nx+/3o2zZsqbv51D69oT2em5DQhSBxx9/POTc7NmzFe0n7r77blHYxMREbN68GcOHD5ddHcNh1h+J1gjLKEqG5Xo3AzWDUtmV0pSbZuKQc0oo18hnZGSoOsyTy5/SggInp/M6duxo+zZGgUBAdqGBGdRsL5wWorRWaBr5poTa51GjRul2gqlESkoKunfvrhpGbgWftN4YEZ7z8/NVw8tp24Q2W0LUBFS9z0Judaaw47ezfqjFpTTNqfd+pTitIOd93ShybWOlSpVsc6FgB5Z6DLMN3qlTp0TO+wj9OKGB6datW8g5NfsJaR6eeeYZtGnTRjZvws1Jjx49akrjcOedd4acUxMytFB6hko2ZFaQ60T0pHnx4kXF56RHVW7FsFOu4zY7nadnibMT2xjZsfEvh9oqWKeFKKc8P8tpOo0+L8YYli9fbikOwNjijw8++ADffPON7vC5ubm49tprZa9J67kZ58NC1zhAqAG69HksXrzYcP1evHgxFi9erLrgRY8QpbYASA4jdVsuXjt2NJATouzaKcEuLAlRQ4YMQZ8+fXDq1Cnd96xatQrNmjXDkiVLrCRNwD6BSu7jM7rcXikv9erV439369ZNl8ZBj3Bu1+a3wNXyc42n3SOc06dPAwC+/fZbxTByae7Zs0fxOfn9fpGLCTmsGHbKddxmhCgzS5zt2sbITq2im7ZfSis0zfghEtalWbNmhdQtJwZoO3bsUFzdxyG0p9Qqj9E8qk35COv5rFmzRDaGK1eu1BW/tG5kZWWptiH9+vUzrHHt168f+vXrh1dffVUxjB4hSu8CIODqs9E77frhhx+K7A337dsHwB6jcDlBzk2XKLIwC3g8Hub1elmtWrXYihUrVMMWFhayUaNGMZ/PxzweD/P5fFaSjnjy8/MZAJafn29rvAUFBQwAA8Cys7N13cOF5/6k57/44ouQMM888wz/2+fzsQ8//JC/b+PGjSHhlf5Onjwpe97n8yne4/P5WF5eHp/emjVrdKcnV1bpuQEDBrC8vLyQ816vl3344Yem01L627RpE/N6vYr5k8uj9Fm0b99edM+9996rmqZc+fT8Sd81x5YtW/gw3Ldevnx52bIwxlheXp5imbXSF757K0jf5bPPPhuSnvC5Kv3t379f8b3deOONttcXpWcqLBf3bPU+Y7n34fV6Rc+6YsWKjpTB6/Wyd999V7WMwjJZeU5xcXEh5x977DHZe7h6rtQWmMlHZmYmY0z5e+b+hPXcjjZnzpw57IcfftB8D3Lf1qpVq2Try7///W/N552Xl8c8Ho/omsfjYXl5eczv96ver6dcct9elSpVDLcFRjHSf1sSFbn9hY4ePYqePXtizJgxst5yd+3ahVatWuHdd99FMBhE7dq1Q9TAhD6YQ6tPpAin0NauXSsaXRnJg9LoSOoYT3rNyU2V9+3bJ7tSi5tOspuXXnrJtDZD6Vlo2RuYNbqcPHmy7EiaGdREmdGE2bnnFnBVw3fNNdfwx6+//npIGLUpEg61uhouL9Ac3EbBRo3llVyTCF0S2NW2SAkGg6r729nlUwgwt1WJ1C0DYF77qHfqlfuuubJbhenQRHELgOTulaL3G5SbNmeMIScnR9Otix6OHDmiK5ybWBKipk2bhuXLl6N27dr8B9m6dWuRt9+33noLN998M37//XcwxtC3b1/s3LkTXbt2tZx5wjxGpgGkU2dKja2c7YjSh602r+31enHixAnHHMNt2rTJlHBnlu+++87S/Vu2bAk5p9XhmX12EydODLk3EAhg8+bNIWmrNdpmljj/61//snU6NRAI8FMLgHx+hW2VELXNrpXChQO5jYL1oOSscdq0afz7dkqIAtSfoV0+hcwQCATw1ltvhZw3OxWlV/jgphLtKvupU6c047n99tsB/DMVvHnzZmRmZuLPP/+UDa+nbst95x6PB8nJyarPUK/g2LFjR13h3MTypGW3bt2wc+dO3H///WCMYdeuXWjdujUmT56Mrl27Yvz48SgsLET58uUxf/58LFq0CJUqVbIj78USOxq6jIwM0XYEq1atCgkjtOHp1q2baO8tuU69TJkyIV5+AeWOVs37L2PMlO2AHUSa0SJw1XC/sLBQdE6rHpjV5Ek1X5xdk9wKTrVG2+/3GxYwypUrZyi8FtnZ2abvFa7siyQhyix+vx9PP/10yHm1BSNmUHoeat+Vk6tigat7pyqhtABBbjGLXXDG536/37ayT5w4UXP7LY/HI7JTvPnmm9GlSxc89NBDptP1+/0hmzXffPPN8Pv9qu9cr+AoFy7ivjk75xHnzZvHKlSowNtKeb1e5vF42K233soOHDhgZ1IRj1M2UWfOnOHnhv/44w9d9wChc+Nqx3LnfD4fmzJliqKtQNmyZVnz5s1l59blwuu12fH5fLI2W3r/5Mqv9OeUTZRW/vTksWnTpqJ7BgwYoBreik0UZzehZNf00UcfMcbk7U+EqNm9yf2lpaVZ+jakmH0GANjrr7/O/965c6fie2vZsqWj9UNqnyZng6K3nsk9D+H7LleunOX8Dh8+XDaN6dOnq+bN6nfHIa2TavEqPU+v18tmzpxpKR9qYaR2SXrL3qpVK9XrWvVi4cKFum29GGNs0qRJiteDwSCf/z59+oiuPfjgg4wxxho2bKh4vxX7t6pVq1prGHQQNpsoKX369BGp3xhjSEhIwOzZs0WrtAjzMJlRk9GluXq8DGttUCwXXm7koRRer/fooqIi2R3V9SKnyVJa2fbaa69FlP8RDp/PZ9ilg1m7IqFNktJUA2enoGc1kBHsntKRjpKNaBkjZTpP6vJBztmtXqR1QqgRAeTbFqPIrcTUs1WSHd9dRkYGLl++LDqnNW3k9/sxePBg0bn09HRZrboe9LTD0vegt+xxcXGq17Xe3+HDhw19Y9u2bdMdVi4faho2O1zJmHFJ4QS2CVHr16/HjTfeyHs5LV++PACgoKAAN998s+bmjYRxjh07hnHjxinuzK6EHvWx3NYuah8pt1mzFCUBSO/H7PP5ULt2bV1h5ZBrRBMTE2XDVq5c2XQ6SlSsWNHS/VxHp7bRrZ0IG3QluyZuh3s14UJrWXu4EA7ecnNzTcWhVlfdcLbZtm1b/ndCQoKpeBs0aMBvlcJhx/uSi6Nt27a49957LcethpKBtp52plOnTqJjK9vHdOnSRXXXBito5UmrLhqZYg8EAqpuWYR5UYpTrZ8R1jsz35BwWtINsw8hloWoYDCIF154AZ07d8aBAwfAGMOwYcNw5MgRvP/++4iPj8eFCxfw+OOP46677lI0YiP0Iay8nTp1wtSpUw07K9QzkhV6Cfd6vbIrm6TIdVL79+/XvE8JToCoXr266TjkGtFwdu5mOzkOaUcXCTDGNBstM/ZITrwXYQNtRDunVxMl1XzYjdRnV0ZGBu666y7L6ZctWzbkeTglROl1ymoFMwbaalqMkydPms6LU+2LWj30er2aWrdq1aqhdevWutLSclarp4x6Nb9GhaiioiLRak47nfSawZIQtW/fPtxyyy145ZVXcOXKFVStWhX//e9/MWPGDJQpUwaPP/44tm7dihYtWoAxhu+//x433HADvv/+e7vyX+wQVl65iqzHPYCeUaHQsPLzzz/HuHHjdG8hIsTKqMwpASKcQpRVDZJSxx+OMigJQrt375ZtsIWNmBkjcaeFKCPxC++7cuWKYjg7nb7KIZxuk3MFcOHCBV3x6Olg3NIccloFK5gx0Oa0GD///HNIfkaMGGEpP06gVtdefPFFdO7cWfX+ZcuWiVbZqqG0mlMOM5ooKxQVFanuqBFuLJXyxhtvxObNm8EYw+23345du3ahd+/eojCNGzfGxo0bMX78eHg8Hpw4cQJ33XUXhg8fbinjhDx6durW83EIG9SqVasC0G/HJMSMiwMOpzaYVOosTp8+rblFiVG07Bi0cFNNrdaQyr1XodCltiJKCSeWuZsVooSuEdQ0AFa2H9KDcBBhZTm8tINxyhO0GQ2OHT6izG7ZFAwGsWDBgpD8RMJUtJRdu3YpXlu9ejVOnDihev+0adN0l8vv94f05UKE8fz999+ia1zd0quJMvqsvV5vSP11anskXfmxcvP58+dRqlQpvPPOO1i6dClq1KghG65EiRJ4/fXX8dNPP6Fu3bpgjNm+R1lxQavC6amQTm1EKff+b7vtNtmwZu1TnOSZZ54xtEWJXahpCdxUU/v9ft63jJDGjRvLjjKFji3N+IlyGiO+0WbNmsX/VhOiSpUqZSlPeuAMaMuVK2d6dC/XwThhmPvEE08Yvscu4dms1lrPQptI58cff8SoUaNUwxgVVlq1aqUZJiMjI8QPHpeOmgZXODg0mi+fzyeaTZEukAg3loSoG264AVu2bMGTTz6pK3zHjh2xc+dODBgwwEqyhArs/3uLVcOsEKVW2UuVKoXjx48r3ivFSIXXGmEZRSlPTow+teLUmsoIt5pa2qk2b948JEyVKlVkB0HCBQBmGjSnp/MaNGhgKo5jx47pit8JhAa0bdu2xcCBA0XX9U4XS9/HqVOnQgxz3dK+uL3HoZM+qsJJON8f56xzyJAhIde4KWa53Us4rHhpv3jxomhTabftRi3Vns2bN+O6664zdE+FChXwySef4JNPPrGSdLFF60Pxer3Ys2eP6m7hTmmijLBo0SLdYe3WxESSql5rKiPcamq9q12UGi0r2g2nNQBm4zeiwbIbqQHtwoULRdfNCnGBQCDEMNcJb/16sGu5u5n8+3w+DBo0SHTuhhtusJyfWECtbvXo0QNt2rSRbUvPnj0LAChdurTi/Va+9fPnz4sWOrmlgeKwJERZMZrt37+/laQJGTweD4LBIB5//HH069cPdevWle0MjdpE6dFEGW3Mjbx/uz8Sp42BjaDVmCip6M+fP+9Abq4iXO0i915//fVXWSFJuuw4Vvjf//6neM1pTZScAa0TFBUVuTa4sEOLkJOTozp9pERubm6IQXadOnUs50cN4SCDG3REI0r1hXNvxAlT4UzbDWJDj1mMMLLslDEmu6GuWSFKDY/HY1grqRcrLg7k2Lp1q63xWUFrKuGtt95CUlKSaKo0IyND1YcLAMsNMzeNKPfun3/+edmOZvjw4YY3xhXi9HSeWebOnRtyjusEnRai5Py1OYHP54tKWyCO5ORkUwKm3+8PqXdOv1NukDF48GB+0BGJmH0OZcuWDdm3Uop0q5hohoSoKMNoRyPXsCxZssRQOnobVytOMYsrL730kmaYYDAoapD02BNYbZjNTCNa7YQjtROX++ays7MRCAQcXyAhneqS5sWOZ8YZ5kYzfr8fBw8etCUuNc2jXXCrAu2s8127drUtLiswxrB+/XrVMB06dAhTbpzHkhDl8/lM/5UoUcKuMhD/H70jh0mTJmmGEbr85xpuuxop4h/at29v+B6nhQ2zq10ibmNQhC6/tovNmzejbt26/BY4TpGSkiI6lgpRdkzvuW2Ya5fNo9kNp6X1Vk2DEsnoWU0XDvbt21eszHUsCVGMMUt/hHHUntv48eN1xaGnExZ6LP/zzz8RCASwc+dOXfET/6BVz82MHp0WVoSdqpG0rH7TTrQJTtllPPPMM646POWwIw9uG+baZT9nJp6MjAzZ7aqiEae95+tl06ZNmvXy3XfftS09t/fOs6QOeuGFFzTDnD9/Hnv37sWqVatw8eJFtGnTJmR0RdjDnXfeiTfeeEMznNfrNaTNGDx4MJ5++mnVMCQUy6P1XPS+h2rVqvFbJg0ePBjz5s2znDclhJ1qON+rE2lVqFDB9jiB8D2XLVu22JKPxYsXq15306mrXZpVJT+FaqSlpcnajTqNx+NB27ZtkZWVZVucdgtRTg7W7Px+cnJyXB0IOC5EcZw8eRKPPvooli5digEDBuj2LUWIsaPyjR07Fm+++aahNN9++23L6RqFczD4008/hT1tu7CrsRDuORnO/ScLCgrClpYTgkmZMmVsjzOcTJw40ZZ4+vXrp3hNafPeaCIjIwPdu3c3fF9RURF2797tQI7U6du3L7p27WqrEKXmlymWcctTOUfYDMurVq2KJUuWoFmzZnj66aexcePGcCVNSJg6darhe4LBoGlnhWbp0qULbr75Zl02XJGKE/ZLUg/BTvHee+9hxowZYUkLiNzVeW420uHw3WRlO5lIwaxnf4/HE7J3XjhwwqVEpGiihI4ww4Hb09FhXZ1XokQJjBw5EleuXHFFsxEL2PHhmWkwfT4f6tWrpxomErdycRs9zlEjkUAggJEjR4Y1zUidEnZrY9NwYWbz3kijqKhI1hWFFm7Z5+bn59ue7pkzZ2yNzyyVK1d2OwthJexfDucN9pdffgl30jGBnQ4v9eL1ejF79mxVD7SMMdOrY2IZrYZy1apVYcqJMdx4l05oQ5xanRdLmN28N5Lwer2O2gnaTdmyZfHXX3/ZGqce1zV6yczMND2Vz237UlwIuxDFeYs2s9s34Q6zZs1CamqqqkAQ7dMBTlFYWKh6PTExMUw50Q9nixYLhNOmK5px08WBHXTr1i2q2qDDhw/j+eefdzsbinTp0kXXIiU51AbbsUjYnTVx0nK1atXCnXRMoCbI2L1RL0eVKlU0w0Sij6BIIBqNPbt06eLK9E40rc4j7MPn81m2/Vq1apXhVcduorXqMhIw+z3Gx8fbnJPIJmwtJbdp4DvvvAOPxxMx3lVjifvvv19XuMaNGxuK1+1tX6IZn8+nej1S7YDc6IyipQOMNdzev23//v2W4wgGg7jxxhutZ4awTKTYZoULS5ooPVtLBINBnD59Gn/88QcuXboExhjKlSuH5557zkrSxRY7ptQaNGhgaGsDLs3iNtdtB1pCFOEsTm6CGiskJSW5KsDatbpKuMuCHsqVK4dz587ZkjbxDzt27AhreoFAIHr9RK1evRoej8fQaDopKQkLFy5Ew4YNrSRdbLFDc2E0DsYYMjIysHr1atUwbvhbiXRIu6KfSJ3Oq1WrluPbu7iJ23XULUefpUuXJiFKBaN9u1skJSUhPT3dNbs+S0JUx44dNW1hvF4vypcvj/r166NTp0644447EBcXZyXZYs3Ro0ctx2G00fzvf/+Lzz77TDVMNHxsbqD1XOi5/YMTz6Js2bKW43BbyIh1hg8f7kq60e7WwWmeeeYZTJ482e1saBIMBpGWloaUlBRXNFKWNVFEeLFj1Ga0s/r000+pszeJVgdMz/UfItXZptYKS8Ia4XAoKsfx48ddSTdaqFixottZ0E1RUZFr27+QKB5FBAIBW/y5GLVtYoxpjtoiZfPLSIOEKP1Eqs1dNK6wjCZoZW9kEk3vxefzubazAAlRUYRdDhBPnz5tKLzH4zHtM6S4Q9N5+vnjjz9sj9OO50sOOwkicvF4PJg9e7ZrxuUkREURDRs2tGV0YKZj6d+/v+V0iyNaz9pOL8PRzqFDh0zt6+g0ZBPlLDSQiEyiRRPFGENKSopr6euyiVqzZo0jiXfs2NGReGMVv9+PTp06WbZFM7piiTEW8/uHOYVWB/zSSy+FKSfRwYQJE9C/f3/bRpXUQRNE7JOVlYW+ffu6krYuIapz5862S6UejwdXrlyxNc7iQJMmTSwLUSVLljQU3uv1urqTfTRD03nGCAaDrhmIEgTxD9GiiXIb3avzqLGPHYzaRA0ePJg6NZPQVJAx7DYQpXaLIMzhphd7o7Rr1861tHUJUdH0MGMdO0YHu3btMhS+Q4cOCAQCltMtjpAQZQy7DURJiCIIc3z//fduZ0EX99xzT+R7LO/UqZPT+SAimJ9//jnqd3l3CxKi9HPbbbdRPSMIwhCtWrVyNX1LzjaJ8OPGPPWCBQtoRG8SEqL0U7p0advjpHpLELGN27Zb5OKA0IQ6IvOQEEUQBBG76NZEcUuxH3/8cVStWtWxDBHquC11E8YgAVQ/TtRtev4EQTiJbk3UpEmT8OKLL+LEiROy148cOYJHH32UbBpikD59+ridBYIgCIIIwW3Fgm3TeadPn8b8+fMxf/58u6IkIoTu3bu7nYWohabz3IU0UQRBOAnZREUZbkjd1BGZh4Qo/Rw6dMjtLBAEQRiChChCExKiiHCwa9cu2/2RUd0lCMJJPExnK+P1euHxeLBr1y5cd911Idd///133HDDDfB4PCgqKrI9o9FGQUEBEhISkJ+fb3ivOlkuXQLS0lA0fz5JvkRMY6eulUQogohtGABvv37A/PlAfLwtcRrpv8lPVDSwYwfQogUAwOduTggiqqC1rAQR23gAYNEiYPFiYO1aoH37sKZfLJQaa9asQe/evVGrVi14PB58/fXXmvf8/PPPaNmyJeLj49GgQQPMmjXL+YzK8ddfvABlN26N0tXStZons3E7+Swo3fCkq0Ykltetum4V+sYo3YhMlzGgQwcgzFuUFQsh6vz582jevDnef/99XeEPHDiAXr16oUOHDti+fTueffZZjBw5El9++aXDOZVhzBjHonZrlK6WrtU8mY3byWdB6YYnXTUisbxu1XWr0DdG6UZsuowBw4c7mBOZ9I3aRN19992oWLFiyPUzZ87g66+/hsfjwaBBg7QT9niQkZFhOMNW8Xg8+Oqrr3DPPfcohpkwYQK++eYb7Nmzhz83bNgw/Prrr8jKytKVjm02UXFxwJUr5u8nCIIgiOKC1wtcvnz1v0kctYn673//q3iNW36/YMECXXG5IUTpISsrCz169BCdS0lJQUZGBi5fvoy4uLiQewoLC1FYWMgfFxQUWM/IlSskQBEEQRCEXoJBID8fqFQpLMkZEtUYY7b9RTLHjh1DjRo1ROdq1KiBK1eu4OTJk7L3TJ48GQkJCfxfnTp1rGfER2bkBEEQBGGIkiXDlpRuTdSBAweczEfEIXVqyQl+Ss4uJ06ciDEC+6WCggLrgpTHA1StCigIbgRBEARBCChfHihbNmzJ6RaikpKSnMxHRJGYmIhjx46Jzp04cQIlSpRAlSpVZO8pVaoUSpUqZX9mXn0VSEuzP16CIAiCiDWeeSasyRWL1XlGadeuHVauXCk6t2LFCrRq1UrWHspRhgwBGjYMb5oEQRAEEW3Urg1MmBDWJIuFEHXu3Dns2LEDO3bsAHB1anLHjh38Xl0TJ07Eww8/zIcfNmwYDh48iDFjxmDPnj2YO3cuMjIyMHbs2PBn3uMB9uwB2rYNf9oEQRAEEeEwAGjeHDhwIOy2xMXCY/mWLVtw22238cec7dKgQYMwf/58HD16VLT5af369bF06VKMHj0aH3zwAWrVqoV3330Xffr0CXveAVytFFlZwPnz2Nq8ORrt24cy//+SB1crkPS/2WucxZeZa06mayVuKm/kl5fD7lEdt/1zJJaX0nW3rkdjuvScxf8vAlgOoMq336LjnXfCFRjhCPn5+QwAy8/PtzXep59+mv3/OhS2v8mTJ4c9Tforfn933XWXrd8KY4zdfffdrpcr2v5OnDjheh7oj/70/nk8HpaXl2dru2Gk/y4W03mENViEu6RwA6VVmkRkQXXXOD5yrUJEEd27d4ff73ctfRKiogw3Om/qiEL597//7XYWCMIRPvnkE7ezQBC6adq0qavpkxBFaEJCVCiu2cfFME4MEKjuGmfUqFFuZ4EgdBMMBrUDOQgJUVHGrl27wp4mdUSh0HQeEau43SkRhBHcrq8kREURgUAAK1asCHu6sShEeS1sTmnH/UR4iMW66zRUt4lowpZ9ai1AX0sUkZ2d7UqnIHT/ECt89913GDFihOn7jx8/bmNuCCJyGDBggNtZIAjdLFiwABkZGa6lT0JUFNGwYUNXppE+/PDDsKfpNImJiWjdurXp+/Py8mzMDeEUpIkyzqeffup2FghCN4wxpKWlIRAIuJK+bUJUQUEB5s6diyFDhqB3797o2rUrDh48KApz5MgR7N69G/v377cr2WKF3+9HSkqK29mICTwej6W59N9++83G3BBE5ECCJxFtFBUVIScnx5W0bfFY/sEHH+C5557D2bNnAVz9CD0eD86fPy8K9/PPP+Nf//oX4uPjEQgEULlyZTuSL1Y0b94cy5YtczsbUY9VIeqtt96yMTcEQKvznOKee+7B119/7XY2CMIxfD4fkpOTXUnbsiZq0qRJGDlyJAoKClCyZEm0bNlSMWy/fv1Qs2ZNFBYW4ssvv7SaNEGYxuPxoKioyPT9bq8IcRoyLo4d6tSp43YWCMIxfD4fZs+e7ZrDTUst5fbt2/Hyyy8DAB566CEcO3YMmzZtUk7M60Xfvn3BGMPKlSutJF1s+fXXX93OQsygJQjFx8crXot1ISM9PT3saebm5toeZywuirAbaV0m9x1ENOH2gNZST/Dee++BMYZ27drho48+QkJCguY97dq1A+COv6NoJxAIYPny5W5nIyawOp13p1ubXYaJ1NTUsKf566+/2mocGggEyHYN2kKR1HEsTYES0URUG5b//PPP8Hg8hpaK16tXDwBw+PBhK0kXS9xycRCLzJ8/X3M678qVK4rXvvvuO7uzVOxhjNlqHJqdnW1bXNGMlhB13333iY5jXctKxB5uGpZb+lqOHj0KALj22mt131OqVCkAQGFhoZWkiyVuuTiIRaZPn45Tp06phlETotxWITuJm52oncahDRs2tC2uaEarzahWrZroeNasWdTOEFFF1BqWlyxZEgBw+fJl3fdwglfFihWtJF0s8fv96Nmzp9vZiAmCwSD27dtn+v5YHq272YHaOV3t9/tx/fXX2xZftGL0fT722GMYNGiQQ7khCHuJasNyLtO///677nu4bUvckhqjnRtvvNHtLMQEVm2i0tPT4fP5bMxR5OCmgKhm2xAIBJCZmWnI9qF27dp2ZS1qMSpEeTweRYP8WB48FEduv/12xMXFuZ0NUzRo0ACZmZnIzc11xYaTw9IX0aVLFzDGMG/ePF3h9+/fj4yMDHg8HnTv3t1K0gRhCcaY5kpHbupZjtTUVOTm5sZkPXbT7k7JtiEjIwNJSUno0qULkpKSXN3mIdbhhFU57Fy12bFjR9viIsyxbNmyqLWzrVevHjp37uyaBorDkhA1YsQIlChRAr/88gsmTZqkGnbLli3o0aMHzp07h1KlSiEtLc1K0kSE0KxZM7ezYBqtFaJaIzS/34/ExEQ7sxQRXLlyBYMHD3YlbTnbhkAggKFDh/Kaw2AwqHs1TrR2EHZy7tw5Q+HVFrDoHfFr9QeAMTMQwjnUbD8jmUjRilrKRaNGjfD888+DMYaXX34Zbdq0wZtvvslfX7ZsGd544w107doVbdq0wYEDB+DxePD666+jZs2aljNfHIk0g081bQ0RvSxYsMCVdOVsG7Kzs0OmXt1cjRNtHDlyxFD4hg0bWu6gKlWqpBlmw4YNltIgijeR0hda3vbl+eefx+XLl/Haa69h8+bN2LJlC1+4cePG8eG4rWD+/e9/Y+TIkVaTJQjHURspBwIB19XIscbNN98sq+ngOnWhIKV3NQ5poox3Nn6/H+np6UhLSzPt1V+PEEbvhrBCpKzwt0Uf9tJLL2HDhg247777ULp0aTDGRH9xcXHo2bMn1q5dixdeeMGOJIstkSJ9Rzsej0dzBZLaR0paEPspU6aM7HmuU+fweDyursaJNvQ4QZbC2fyZRY8QRW0ZYYU1a9ZEhG2kbZOKrVq1whdffIEzZ85gx44dWLFiBX744Qds2rQJp0+fxvfff49bbrnFruSIKCVSGs6ff/4Z8+fPN31/rK8u7dGjR9jTXL16tWKjKNRQvfTSS7ptc0jbAXzyySeq15W+SStCqp7vvEGDBqbjJwhAfTVvuLDdMqtEiRJo1qwZunXrhpSUFLRq1QqlS5e2O5liSziEECfT6NSpExYvXuy6UWCtWrUs3R/rWhC3Rnh6GsUqVarojo+EKOPPwI5OKT8/XzOMFT9tbhIpA0EiMmwjLfVkp0+ftisfhMsIG4b777/fsXRWr16NgoICpKenu9oY6Uk7Wv2n2IFbQqKeRtFtATzWscOFxLPPPmtTbiIPp01SfD6faIGW05QoYdk02jXc9FTOYak1qlmzJu6991785z//iRgjL8IcX331Ff+7bdu2uu8zIwgNHToUKSkpePLJJw3faxd68q1nCTbtz2YvehpFI0IUaaK0+fPPP0XHRlxIKBHLz13PykMzlC5dmnceKVyU5TTRKkRFim2kJSHq0qVL+Oabb9C/f39Ur14djz76KFatWhXTH5DbWNHeqN0rdDlhJA1pA6yHYDCIrKwslC9f3vC9dmGHFiwQCNAybRvR2yiePn3asOfy4oxWXZd7jpEwTRKpOKUJ9fl8vPPISDCYjnRuv/12Vz2Vc1iqDcOGDUOVKlXAGMPZs2exYMECpKSkoHbt2nj66aexdetWu/JJ/H8KCgpM33vHHXcoXhM2DEYEjAMHDpjOT7QTKVoov99v+xY0bggoDzzwgK5G8ZlnntHtuby4D+gyMzPxxBNPqIaRE1ojYZokUnFKiOLqKudcllDHzUG4EEu1YcaMGTh69Ci+++47PPjggyhTpgwYYzh27BimT5+Om2++GY0bN8Yrr7wStUaEkcapU6dM3/v9998rXjMrRJnB4/GgXbt2hjs4bqRmB8eOHbMcR8OGDW3IiXUqVapkaTm6HE4KiEr1S8nFgRSu3tgx7RTrdO7cWdPFQbVq1UTHbm/oGuk43T7KOZd1kmgdaETK3qWWRWqfz4devXph4cKFOH78OD755BP06tULPp8PjDH88ccfeOGFF9CoUSO0a9cOH3zwgakpIOIqRlYmSVH7WIQV0ulGYs6cOYYb6Jdffhm5ubm49957bcnDwYMHLcfh9/sN2Y85BWPM9g6vXLlytsYnZMCAAbbFpTXtFK0dhJ0Y+Z69Xq8tG7r2799fM0y0rnJzKt9cXTXiMb5Tp06W041We+aYEaKElClTBgMGDMB3332Ho0eP4oMPPuB9QzHGsHHjRowcORK1a9dGr1697Ey62PDbb785Eq+wQhrpeKpWrWoonY4dO/INtJF0mjZtCr/fj8qVKxtKT4n69etrhomPj1e8xmk/jGijMjMzceutt+oObxdmtuYxut+aESpUqCB73ozAQ9NO2hjp9D0ejy0C+Z133qkZJlpXv2oJOGan+zjtE+dcVo+QsHbtWlNpxQIxKUQJqVKlCoYPH45169Zh//79ePXVV3H99deDMYYrV65g+fLlTiUdswQCAaxcudL0/TfeeKPiNeGHb6QzO3nyZMg5tUa7ZMmS/O9ff/1VdzpcnMK8lS1bVvf9UvT4iVJrDM0sA+/cubMrPtPMjDSdnKq006ZEa9qJNFHA2bNnVa87oVnR846FbUEkoFd41HpeX3/9NTIzMy3lhfMY//jjj6uGk5v2i1YNn1EixdVJWHKRlJSE++67D/fccw8qVqwYjiRjEqt2KmraF7OaKDkGDx6MBx54QPYatxdXIBDADz/8oDtOuYbBytJcqw0NZ49z/vx5S/HYgROCglyHokd7pwelZ2a0HPHx8RGxOscp7Bpp//XXX6rXnag/emw37ZpGatasmS3x6HVdsG7dOtXriYmJtthu+v1+tGnTRjWMXB2ZNGmS5bSN0rhx47CnGfOaKAA4evQo3n77bbRq1QrXXXcdXnvtNd6TrdpUCSFPw4YNLXX+apK7nULUggUL0KdPH9lrnBCVnZ1tKB27R1d2xFdUVKQ5yg8H4dK22LUaRo83az3oeYfRrIlauHChLfEYnXK3g+PHj2uG0eOHTQufz4dWrVqZuvfaa68VHeutKx9//LHqdbV6edttt5m6T4nZs2eHnLvvvvsMx2MVp3xnqRGzmqiCggLMnTsXXbt2Rd26dTFu3Dhs27YNjDF4PB506dIFc+fOtWV1VHHD7/djzpw5pgUAJ4SoDh06hJwLBoM4cuSIbHjuvBHjSUB+2tAqU6ZMsXS/z+czLFgcPnzYUppyaL0vvavetNi5c6ct8Sg1uEYFHj3ho1WI4law2oHW6jwnFvoI/c45BbeK0Kxwv3fvXtGx3rqiFU6tfa5Rowb/W9r+mREK5DSxRvoHu8xqsrKybInHCDGlibp06RKWLFmCPn36oEaNGhgyZAhWr16NoqIiMMbQokULTJ06FXl5eVi5ciUGDx4cMT4eoo3U1FQcOnQIM2fONCxMXbx4UfGa8AM+c+aM7jhvvfXWkI/f5/Ohdu3asuFzcnIQCAR440m9pKamhtggWekgjx49igkTJpi+n2vAjdhlBQIB7N6923SaZmjRokXE2Z4oGZYbJVoFJCWE33P79u1Rp04d2+OV48EHH+R/2/VMrWq/9LRtkydPdnw6V06wsUsrLt0APVy2TEK7TLtcxrhBTAhRP/30E1JTU1GjRg307dsXX3/9NQoLC8EYQ1JSEp599lns3r0bW7duxZgxY8IyOikO+P1+DBs2DHPmzDFUkb799lvFa4sXL+Z/v/rqq7rjTEhICNkH79133xWNuKS88847AORHUUowxpCWlmbJT5aQ3NxcSx2GmWXgbjjnjDQBClAecau9D7lrsaaJ6tq1K/+7cePGtnnV18KITyK1+B577DH+t9WdFfR07hMnTkQgELDtHV+6dEn2vLBtBIBHHnlENR69ZZc6o1ZK3yhffvml6vW///6b/x2uKbGbbrrJ9jhjQojq1q0b5s+fj/z8fDDGULlyZdGKvFdeecUVg7PiAreCww6eeeYZ/rfRRik1NRWjR4/mjwcPHqzq2HPatGmmHCQWFRXpsrXQQ4MGDTQbELXnYGYZuFMr3rSEj0gTJMw03HIdfaSVyyrSlZt2CFFJSUnYtm2b5XiE8Skxd+5c/reVvDPGsHr1as1wdm9NI2foHgwGQ5yRahmy6y37u+++Kzq+dOmSLY5jX3zxRd1hwyVESd1ZSNNNTk7mhSK9z+/ChQv2ZM4ilp9gfHw8+vXrh2+++SbENxThPHY5WTTrIZer8MIpmsOHD2Pq1KmK95ht/Hw+n6qGywi1a9c2NJ0oxUxj5/f7cd1115lOUwk1YcIOz8fcO7Zr5Kfkg0pNU6dXiAoEAqJ99aJJ0BI6gLVraicYDOKbb76xJS4uPj3XrOZfz3vzer2mfIQp1WM5v1Vyfsi0BnInTpzQlQ+5MkrbRTPP0cg3LxR8nURqSpKRkSFyA5GYmIjc3FxkZmbq3pj+ww8/jIg9Bi0JUfPnz8fx48fx2Wef4c4774za3aAJe0ck+/fvV/2QzThI9Hq9mD17tsjZppUO0uPxWLKnMOMnCoCirZgVjE6DGSUlJQWZmZnYs2dPyDUzQq2Szd3GjRsVhVMlIUooNGVkZCApKUn3vnqRxq5du/jfejpPj8ejawcDrTrghDbCapx6V14uX77ccB0PBoMYO3YsOnbsKDovFaKUtr9JTExUjb9Xr1666p5cGcPtODYtLc2WeLR2bpD6BKxWrVrIlK3f70fnzp1120tzJh5ub/tkqaY//PDDjm4PQdiLWsM0bdo0XeGUEDZkycnJio2o2X255s2bh9TUVNs0C+HwE6XVkYTDkNTs8xJ2AvHx8fzu8lLMTK8qeZ1njIWMxDkh6dChQyHhg8EgLzTVrVsXQ4YM4YUt7v2oLaaINIy8K6/Xi40bN1puf71eLzZs2CCbBytCqJW67fP50LRpU81wXCcq1Wy2aNFCFJfcfdOmTQv5PqXPn7N7lD4HrV0juLonh/C5PPHEE6LjkiVLhn2/Qrv26LNqe2n2O7V7StcMkeFogXCcadOm4a677lK8PnDgQP63VWdtderUEa1883q9ePPNN5GZmWl6Xy67fd047ScqMzMTS5YsUb3/iSeesJwHLYLBoClBStgJcPfbpbFQc7grHIkLNUtytpWMMb4TkLP9suLHKxxadWkdFB6r1U+fz4f09HS0bt1as/PSemdjxoxB69atQ84HAgEMHTpUNm21fHFofV+LFy+W1ehkZmYiKytL9/ZWRUVF2L59u+ic0A9Zbm4u3n77bdn7hAbWQKgQ5ff7ZZ+DHuGS84enRvfu3UXG+HLv0ko7NW3aNJGzTqOOruXStqsN8Hg8oue4ZcsWU0K72SldOyEhKoZQa1BbtGihuuWI8IMxsj+d3HYsHo8HvXv35o+/+OILjBs3TlGboYdItG1R8xO1b98+2aku4XM24mywUaNGpla1mfUKLewEuPitNOirVq3if6vF89lnnwH4pxMXapaM4vF4TK+IvHLlSsg5u6e9+vXrJzoWal+UnpF0ICL95oX3LV68mH+eSjz11FOy57Ozs2WfuTQ+TnDy+Xx47bXXFPMvPe7bt6+soNq5c2ecO3dO9/fu9XpDpor279/P//b7/ejbt2/IfT6fL8Q9iVyacs9BT13Uaz8o1CTa2cb5fD7cf//9on0zq1SpovlehHTv3l1U5++44w589913smHlNMVq/PXXXyHCKTc1t2PHDt3xvPHGG2HX3knR1Sr4fD74fL6QSs+dN/NH9lP2o7bR7MmTJ1XVnsKPyUhnIWff4vF4RPHZZQyuh02bNukKZ9XbtZafqLS0NFkDU2GcWnP5woa4TJkyok1J9TpH3bNnj66l03K+vqTxy9WL2rVr6+owhPYPavVr/PjxmDp1qmInrobZOqwHTvsTLqQjdQ7pQERY5szMTJEg1r9/fxw8eFC1rkudLXLvWs4Zrs/nC3EAyhkD5+bmYsCAAbL54uKVTtEp1Vu9jnh9Ph/GjBmjKXxIO1mlb1cuHrm86NmAWM6TuBSnBoZc+tJylyxZEnPmzBGde/jhhxXjueGGG0Ta9EGDBinag2mtEpc+s8OHD4d830VFRcjKysLSpUtV4+J47rnnMHbsWF1hnURXS8OpyqUvXXjezB9hL2ofd9++fbFlyxbF68JGz8gqLM5vk1QT5VSHplVv5KYm5LCiVdEzLVlUVKQpJGk1FtJRP+fSgkufQ+uZ6LE3+OCDD0THcp2A3DOrXLkycnNzNUeDRurDhAkTUK5cOUPvyOfzifybzZ8/X/a5qG27oYaeaWijdWrRokWiY+EU1rlz52Sn09TqVHJyssg4PRgMYuLEibjzzjsV71EyzOWc4QqFdrmOmTMG9vv9ovLL7df3+++/K+aDw4gj3tzcXDz11FOGnzv3LrVsooDQ5wAAQ4YMUY3/zTffVKwrwrxKp9rN9IlK9SElJUU27dTUVNx+++38Oa0tbIQDYJ/PZ6rd7N27N7766ivRudq1a8sK6WqygTT8K6+8YjgvTqBLHfTCCy8YOk+4g1oFN2q0qhe51UFSIcopA2qrq/PMItSqKOXB5/PJepwWpquVf+Gonwvr9/sdUV8PHjwYw4cP549TU1N5ew3OH8u8efNk7/X7/Zp1RsmHkMfjCXkOwWAQ58+fx5133sk7iJULJyQ3NxeFhYV49tlnAVxdLeT1ek1Nxcih55m3a9cOGzdu1GUPA4S+f+FxQUGBbF5zcnIU8yI3dVlUVKTq20nNMDc1NRUpKSnIyclBcnKyoXr33//+N+ScVAsrtygjKSkJ6enpovqnBJefXr16ifzSJSUlidxFKN2ntw3gngP3PXft2lVV0yQ0bJciTVMoOF+4cAEZGRmGbEbl3nkwGOTriVw7LHRHo/Y9nD17VnR/iRIlTLWb3333HW644QbRuWrVqiE9PV30jmfPno1bbrlF9rsFrroAscuLv52QEBVDWNH46NUUSCs4Z6yopokK13YGUipWrIi5c+fKbsjpdJ5mz56N6tWrh5yXPie7HXqaRfo8hFNJP/74I6ZMmSJyyMrB2XVpTc8PGzaM/y2sX8OGDcPMmTNFYTkXGC1atNAtRPn9fpEtDOcHTNhIV6tWDWvWrFHNp8/nQ1FREW8zU1BQoBpeSHJyMqZPn442bdroEvDVypSQkCDbmUiNaIXvjZt6Et7j8/lEUzBy19UMc40I7cK8SDUPUurWrStbdm5lm5wmRYk2bdqIhCg1AUqI3JSjEkpTqHKo7cwhTOPkyZP48ccfRde5sut95nIOfIXvVNreAOJvVUlgAa6aakhnKJTKnpycrCiMM8bw+uuvh5wXCsotW7bkhcf09HSkpaWFDEbctn1SggzLYwi7hCirLg6cEKKUGlw1vF4vbr31VtlrdglRSvGkpqZqptGvXz/RdMmbb76paGNlxReUnBNBLaRTSc8884zs8+bsrbSmgIUNovC5PPjggyGrRrlpI2G5jGqQAoEAGjRogCZNmvDn4uPjNZ+VcLpUbSGGEkaMoh988EHRcxOO1suVKyc7pSXtSITPUmkKTriyVRqnGXcjShj5ptSekdFl69JVdnrRM50nh1Y51a4LtW9HjhyRXVEqLLs0rv79+4uOpTZtHo9H850K61x6erpivyHdKFxNiNKye5V+v9J4hAskOLMF6XY7kYolIWrNmjVYs2aNoUp88eJF/j7CXtQ6Gq/Xi+bNmyte16uJUvoYpI2BUzZRwnpjxe2/W9oxIe3atRN12uPGjXNkwYUeHy7SqTq5aTC598jFrSXkqC1/F+4Zl5yczI9IhXVKTx0SxtukSRN06dJF5CA0Li5OMx6hjY9RGGO6jaKBq5sMC23bhFMVnP2KUAgEtBcjSO3mUlNTRc9eOlVk5wa+dg2cjDrjzcrK0h1WrV3SK0RJtUdqaUgRTnMmJiaGhNUqe926dUXH0sGOx+NR1OLJ7TyQkpKiqLmrUKFCyHSeUt3W8hentSpQzr1E+/btVeOMFCz1bp07d0aXLl1w4MAB3fccPnyYv4+wjnDaRWtzXjVfS8JKreRRGtBvdO7EdF4gEFC0y9GTDz3nhTix+EH6XPR22kY0UdKVkXo6dS2fVT6fD2+88UbI++dWhGoJUUIbEmF+pHkXas2E115++WXV+IFQo10pcXFxqiNvtfj0otcoWhieQ1heTmMhFar1eGKX1qlwrYQWPq9Ro0aZisOoM95AIKBrnz0OO9qlWbNm6U5DjcqVK4f4P3vooYdUyy71eyY32FHS4nH5El6vW7euSJsl3HJFOqNw6tQpxbI54fAyXPv6WcVyLs12NLQ6zzpKDvHkCAaDIpsRNfbt26d4TWpQqUcTZZcQlZ2dbWu9cWNbEKPaFaNxAsC4ceP43wkJCbqemZzQweWP69jGjh0bspSZe7dabhSEGg+p+wQ99eOee+7RDKMnntTUVE3fSWYxWjel+c3Ly+N/L1iwABkZGSHPlbMZ4jRSesocrt3uhXkZNGgQpkyZIqpDgwYNEk01JiQk8OE3bdpkyhmvUT9gwm9OOvjXa/+m9Z71tncnT57E//73P9G5hQsXqmobpQKc3Ao3JU2Wx+NBIBDAunXr+HOMMdFqQ6mNlVBzNmDAAE0Hwkqo9Q9KqNlpyh27RdhFPa6xDteHHcsY8aXj9XpVNYYLFizgf7///vuK4aQNnJLWyqoQJVc/jEyVaKV95MgRTQFU7yors9hlQyJF7+obIXKN8YYNG0I6NqVRshGnnnrLLSyzHl9XUpcBSvFxK4DshtvLT2sJvBLClVrcliZyvsaEdjORKkR5PB6MHTsWBw8e5OvQ/PnzRVONQvu/1q1bm5pGNdomcHkMBALYvHmz6JqWJl8ah9nrHEePHtW0iZK6ipCGf+ONN0Tlf//99xWfocfjwfr160POC+MUtudnz54VOVANBoOmF5NJ35EZIUrJOafbhF2I4kaywlEIYQ6jTunUGDFihOI1tTReeeUVZGRk2G4TNXHiRNExY0zWZ4tZ9u3bpylgyHmt1ovSx+2ELZbWVJ8eASw9PV2Ut9mzZxvq2OTeiVJZpdN5ep6JlhAVCARC6owS0nokTF/43oy+K8aYIW2pVvxFRUU4ffp0yHmjNkNuTOcJXXII65Dw2A6tspwxvdqz4fJo1pM9cFXLZrRuyNU1ual2af61bI0mTJggGtg++uijhvIlRSgknT592hYXIT6fj3c9ooRcXZA+GznnnG7vmwcYFKIOHTok+uM4evRoyDXpX3Z2NpYtW4Znn30WHo8H119/ve2FKW5IGxA5YcXr9epySqf0cXTr1k1k4yEVDrgRs1AVLg1jRnC48cYbZc8LDWfj4+M141FbkmuHNkKpI0hKSsI333wjOid9LkbSN9LhCMPq3VomNTUVPXr0EB0bQbq4xOv1ipz6CVGrD0p+tLSEqMWLF8vWYeF+YcL4hPWoZcuW/Hk9NkdKcIbleuu7Vjil+jF69GhDGhuhgOvkyN2txRpSY3olr9rAP89UzjWAGsI6sWDBAjRr1kwxrNxz4PInNPpmjGk6NFUrC3C13RbmTa1N8Xg8uOWWW1Tfk/AbqVSpkqE2yuv1ilbUde7cmX8n0ul4M5ooI1OX4cRQL1K/fn3RH3D1offo0SPkmvSvcePGuOOOO7Bt2zYA6u7mnWDGjBmoX78+4uPj0bJlS6xdu1Yx7OrVq3mjOuGfdP46EhA2IMuWLQu57vV6eV8vUpf/0nBylCtXTmSQruTQT+gNPSkpSeQnxsyorV69eorXudGs1geuJnjUqVPHNq2WHMFgEJMnTxadS0pKsqTpUEJazq1bt/K/Dx06pFuQMrOkn7OzkLMn4doIuXvUjuXQEqKefvpp2fNqAqXf70dycrLoeUltjozCfWdm3m3Tpk1FHaqcbx2v1yva705POpmZmfxvNcebVnHCDlIvehdocPny+/2KAzUpUttTxhh27typmYZc/o4dO8afGzlyJACxWw3p4EXOmbEU4eBBS4ji6qfawJujQoUK+L//+z/R/Upw2yIJ9yksXbq06ZWucnmT05ZHgu8oQ0KU0rYtRrZ6KVWqFMaNG2dZ7WiERYsWYdSoUXjuueewfft2dOjQAT179tTcNHHv3r04evQo/2d09BIuuA9UbtQiHX1Xq1ZNNo4ZM2bIqpy//vpr0eaxcs/A6/WK7AuCwaBoNZWRBpUbjdWqVUszrJ7pNrXVeUIBVI4SJUpoCllGtHvBYBC7d+/mj+XsyZQEPzWBUCocSL1F67En0kpDDSWvyXJTUUbSFF7jnG4aJT8/n/+dm5sbomWSm34zO03AxZOamopDhw5h8eLFIdvpCJHWnapVq4a4vBBuBs51VEYcPwYCAcyYMYM/NuuxXQ9KWsRwo1fT2apVK13xydmeqpVPLv1AIBCyuS6nxQdC90TkkNs+R4pQ2NBTdmG7t2HDBkVByuPxiBwVf/LJJ7L7CC5evFhWAJRz9GkE6T1SL/Z2uuewgqHJcuny8kceeQQejwcvv/wyateurXifx+NBfHw8atasiRYtWoh2rg4Hb7/9tugFTJ8+HcuXL8fMmTNDtAVCqlevLpoOiHT0VFSlD6ZHjx7Izc1FVlYW+vfvL/oAhI2w3Gaeo0ePxtSpU0Xn9Y6OpOzfvx9169bF0aNHReeljVYgEJAVDvRqEIQjUqXRjNfrxb59+5CTk4PHHntMdtWiVmOqdn3ixImoWrWqqcZAKAwcPXpUdGznHlx6UPKULXXWxyHtbJXqrbAc77zzjun8CZF6hFbKu9VpAr/fj759+6puzOrxiDcZXr16NZYvXy6qD8Ipaz17FEqxe0VrtCNsi6QuXzhv9VLk6ojaty1Xn5OSkmTtUjmBXem9atlE+Xw+jBw5EtOmTVNMWy5fwnZP6CFc6RkAV7ezke4CINU+6UXLT5RcGAAoX7684bScxpAmatCgQaI/jnvuuSfkmvDv4YcfxgMPPIAOHTqEXYC6dOkStm7dKrL3AK4KDXIrFYS0aNECNWvWRNeuXRW1FRyFhYUoKCgQ/YUbKyr05ORkLF++HFWrVjVkTKhkb6V3dCSFcyb36aefis6vXLlSdKxkGCrVICil/fbbb2vmhTNm79y5s2Gv3z6fT9VYn4tf79SRdN8xuZUqHGbqgVkDTW6KQM62Q7hKUAm1BQlSbbcdSLVMejfa1YNcHtXyfeDAAc0VR0Jtq5k8mVnRahYzhvjhSkvuPs7HGQBemyKHXB1R02JxU9xCgsEg3n77bcN2PWo2UTVr1kRubi569uypGEaI0rS+UDMldE4r9RPl8/mQmpoq8qxvVhtkZcAfaVjKZWZmJn766SdF24dI4OTJkygqKgpxS1+jRg3R/LSQmjVrIj09HV9++SWWLFmCa6+9Fl27dlX1sj558mQkJCTwf25slChX6fQ2VJwtSLly5WRVtkpwI5ru3bvz53w+HyZNmsQfG23wAoEAxo8fLzo3Y8YMUcOk1Dno1SBMnDgxRHsm5fLly7ymQG1aUI7c3Fw89NBDonNy+VWbOlISruSmF4Sjx969e4safD0ey5OTky0J4XKesvUSTvsZuU7LSt61UBuAyK0QldYHLXs2rWcnJwA4RaRM56khzKPQrql///4hW6gIkdaRBg0aqKahNMUt1EZ5vV5NgV3NJqp06dKaqxyFGv1ff/1VcdGEnE2ZnBCVkZGBXbt28efUFmGo1c0///xT8Zra/W4tXlDDkhDVqVMndOrUyZRBariRUx8qvZBrr70WQ4YMwU033YR27dphxowZuOOOO1Q73YkTJyI/P5//EzrOCxdWK1hRURHOnz8f0ug+/vjjmvc2bdqU/52bm4v777/fdL7khASpJ14ldwdSD9BqaU+YMEFTC6SlKVJqwOQaxmAwGJIfaacunKIUGgEL05ETIIXP4aabbhI1+HqWuNthoGnUuFcLYZml++uZQU3LpNSJGMGoJkpuhai0PmjZ/enJo1QAcIpwdnB6p62kcM87EAjg66+/5s9zg0g1jGwJpPSNChcFvPXWW4YFduEUpB57OOkAzeiiCWEaf/75pyFfTWp1f8CAAZqrYCNRYJIjOvRlFqhatSp8Pl+I1unEiROamyYKadu2rapvkVKlSqFChQqiv3AjV+mMjAi5Blza6EqnQuUQCj1+v9/SSh25Bsjr9SpqEITGt0ZQ2yKBg9MMmPmgtewZpCPRQCCAixcvivInh9IUlDSMlZUxerHa0On1E9WuXTtL6UyZMsV2LZMUuW9NbRPVa665RnMqUe/KSi3CUR/s7PSc8kYt9BMlt6DADo4ePaprmtiMts7IPWYWTai9w4MHD5r21SR1GisVWvX4iYpUbPPCxhjDjh078Ouvv+LkyZP4+++/NV/4v//9b7uSV6RkyZJo2bIlVq5ciXvvvZc/v3LlStx9992649m+fTtq1qzpRBZtQ2k6LyMjQ7PzkH7kQsPD7du3a6Ztp7NNrgHijB0BYPjw4YoaBDV/UVrLcrWm/6wYGcuN0ITPaerUqaL3oiakS59vamoqUlJSkJOTg+TkZPj9ft7gUxpWb8NrplG3Y9WN0jXhdIuWsz4tmjdvbliAkOZTq2OXW/zw/PPPi84JDZS5FaLS9yhEKEQFAgHVMmhddxqj03lKYfRsZ2W2g+XyqLSgwA5BKjc3F23atJF9t8I69PTTT6NChQqqbbO0DhpxAGxm0YR08Cs8trIIQ24lvNazjhZNlC1C1IIFC/Diiy8q7gatRDiEKAAYM2YMBg4ciFatWqFdu3ZIT0/HoUOHMGzYMABXp+IOHz6Mjz76CMDV1Xv16tXD9ddfj0uXLmHhwoX48ssv8eWXX4Ylv2ZRqnTCFUnShqtevXqYN2+ebANuBOkIxarPGK4B4mzLhDZXZvMkRG1qh1t5Y8XIGICsXZywoZbaO8g1UmoorSyMVHsUDj1+ogKBAFasWMEfWy2T1QZZT8fObRrMoTQtLUVthaiwo0lKSkJ6erqo0z158qTqdS3sFLzs6vSUtrOaNm0aRo8erZmWnuk86UCN+9aFK8/MIrQRFr5bOX9T0tWiWsgJHtJFJ8KB8MCBA0VbemltcKwWN+dbT/iM9LaP3IIhIVpCq5ygHImClWV92XPPPYdHH30Uubm5mj6iAIQch4N+/fph+vTpeOmll3DjjTdizZo1WLp0KW9zwnlc57h06RLGjh2LZs2aoUOHDli3bh2+//57kc+MSESpgqmpXEuUKGGLml9NE2Wk4gu1N2byJBzpFRQU4OOPP5YNpza1M3r0aN1Gxmplk04XS6fdpPeqGQGH43txo4GS2xsOiLyl+Xr2qfzhhx9E9U/Ldk2PTYsQqSPQQCAgsnEy4yjUiod2KXbVH6XnJrSzNIvwHdq1oEBql6nk405pQYiRlbFy07tCJ8vC9xkIBELaP60NjqXvUCjklChRAqmpqejWrRt/Tu8z02oL9bo4iEQsCVEbN27k/Sx1794dO3bs4D2SezweFBUV4eTJk1i2bBnuvvtuMMZw66234ujRo446fZPj8ccfR25uLgoLC7F161Z07NiRvzZ//nysXr2aPx4/fjxycnLw999/49SpU1i7di169eoV1vyaQanSCVWu0u059Lhi0FOZ1d6nkY/BaqMu1RYIDTmFqAlo06ZNw759+3QZGevt6H/44YeQhlrOGWW4jIDtwkxDl5WVxf9+6KGH8Msvv4SEMbJ9ih6sxqXXVYBQiJETit977z3deVLaHYDrdLWuy6EkmNmBXavz9NgTGXmfwvbk1KlTomM7bMVyc3NFRupKKAmHRswFhBt9X7lyBYFAAO+++y5/TihImxHapINfoRDFvQ8z9r7CeJcvXx7SFsrVF6lfSqfs5KxiSYiaOXMmgKsd3/fff49mzZqJ/Ol4PB5UrlwZPXr0wFdffYUPPvgA69atw+23367bizKhH6VGnmuAAoEAzp49K7p24sQJQyNXvSsxzNpEKY2mjbhqEKLHxkFpP0A79xnr1KlTiE3EqFGjZBsGuYbd7N55Ru/lsHuPNWF8ixYt4n8Hg0F88sknIWGzs7Nx66232poHo0g7auEekkpIOympUPzII48oxi9Fq9M10ykrCV52YKefKC0tkd60lHyq2Vm//X4/OnTooJk3Mz7J1DyWHzx4EO+8846ioGRVaJMKUdwqX6M+86RwbaEagUCAN7fhGDJkSEj/FQlYEqLWr18Pj8eDkSNH6lpGPXz4cPTp0wc7d+4UecEm7EHp4+UaIL0OKqUIbVOU9t6y0ybKyu7catMnSpgZ0XMYnaqUs4kw6mzTKYSaLyWNoPScmr+XX3/9VRQfh7Qswrpz+vRpJCUloUuXLli3bp3uvGthRhMltHHSu+ecXCelpO0w4+NJuvjDaKesNcVoBat2kFLUtER6baLsmEKzE6NTiForfNUceJqpH9LnKjUiB6wLUXrqxvr162UHg4cPH7aUthNYEqI4R17XX3/9PxEKXqjc/O3AgQPBGBONRgl7MDOyBdQdVAYCAbz//vv8sdK0nV02UYC1FXHSRkOo6lbCyohNr3DDOeAz26Bb0UTpQbqvl5xGUG5Un5ubKysEBgIBka2GdMsMIcJnf/jwYT6smzZRgUBANN2qNO11++23m/Z2furUKc0wWp2u0U5Zj3sMO4gUezY7ptCMokc41juFqOaxHPjHgadSHTRaP7RsogCxEKU2ABS6a1FLAzDWjkYaloQoTkiqXr06f064rYvcKJVbseTWSCCW0Zo24xpQYUWsXr266ses18DXqiaKC2N1RZy00RBuT6QE91yEebFig6FEuBp0Mx2YHm2cknG13LesVm8GDBggavSlnt2dwIzDVyly0179+vUz1EnNnz+f/600nStFq9M1atfjlId2O6fz7ErLzm19hIRLSFTzWA7848BT7X2atfuSTudxbZdwD1Gpxlq6F6Rc/dbz7m655RbZwZbaHr1uYUmIqlatGgCxcXKNGjX4Civch4eD015F4txmtKPXe7HQeaaWkaBeg1ozNlHSTXPHjh2r2KjrbbS4Jb5co6G3sRWm+cILL+juWPTG7/Eo7zGnp3FzutHWI+AZ0WSq1Zt27dqJGn2hPUmkoHfai3uvejqpQCCAJ554gj92wvZOL8I8Szs6swa8kaIlkObDyW19wklmZiamTJki237Y5UxVTRMVCAQQCASwdu1a/pxQY61mf2a0bvj9fsyZM0dU1vT09OjfgFgKN433v//9jz9XsmRJ/rzclB1nRKq0DJQwj96KWqZMGd1x6t17y6gmSu6D43Yil0NNiJDarlhdxZGQkKA7rFHhxmyDbkWI0nOvHgFPbqud+vXrKzpBVao3UsEjHJ2vmUbc7mmvSLPPAew1vLZrdZ7RtPRgRsgw8gzCoZnq3LkzP9B0SiCUPtfvvvuO/52UlIR33nlH0Qu63vptZGAbDcKvJSGqQ4cOYIwhMzNTdL5fv35gjGHu3Ln497//jd9//x2bN2/GiBEj8Nlnn8Hj8ejeeZrQj1OdkZ5l90ZtouzqUAKBAPLz8/ljqS1PJI6Ond6Cw2yDrqfR4sJwVKxYUXd8HG68E7MOX7Weh5F43bDP0cJOwS6c7zUcaZkdkDmdt3Bt6XT27FnRwDYYDOLtt98OKR9Xh/XWbyM2UeEqqxUsCVH33HMPgKvSqnBK76mnnkK9evUQDAbx6quvolmzZmjbti3vEqFSpUqYOHGilaQJGZzca0irMhvVRNnVoVhZWWcEqw2j1fvDZYOhp9ES7na/fft21Y5GT3yRIujKoZV/PcbhwriEq5Kleye6gZ2CXaQIUWbzMWXKFNGxEeelTn2f4f42hOn99ddfsh73GzduLDrHeUFX02bbvXIzkrA8nZeZmYmvvvpKtKdPmTJlkJmZifbt24d4LW/atCl+/PHHiJYsoxUj9jl2o9aIyAl3dhl8ujG612pU3W4knBS4wuF3xwmceidjxowxpK0I55SXHuw0vDZatnAYluslEAhgwoQJIef1DMikdd/t798uqlSpIrsRvNB8BxB7QVfS3gqfiV1tRaS0OZZVF506dULXrl1RuXJl0fmkpCSsXbsWe/bswRdffIHPP/8cW7duxc6dO9G8eXOryRIyuPnxqjl4VPNfpXfOW03dq9YJ2PVMhMvdhWp+ufj1njNCuJ1tKmHH9I/0WURzp2PEODwQCGD48OGm7nUSK7YnwrxH83tUWk3q9XplB2T79+/nfyclJWHhwoWO5g8Iv9BQsWLFkLZ1zJgxijZRHHLa2yVLlvC/69WrZ9puddeuXfxvO7cssoJz8z//n2uvvRb33XcfHnjgAbRo0cLp5Io1kSRECVHLlx1z3k4bIHIrTziEan6z5Y5Wwqn5i6RtX9TQK0RGomE5h9nvUGtA4RR2a/GUVpO+8cYbIc8kEAhg69at/HEwGMTYsWP5Yzufg9De2A2hQdq2PvXUU4a//0AggJdeeok/lpsm1fM+A4GAyJTAzF6RTuC4EEWEDzen8+zaO08Jte0PAPNeoeWQftBG7a7c1kTZea8UqU8tQP9O7kooPZtOnTqZjjOc6BUiI9Gw3ChamyJzODFVKRQgzp07pyhQmPnWpBptr9eLN998UyQccchprezaOkdIIBAQrQh1S2gQtq1mpn/tGjwoPXe3ByEkRMUQkaSJEh6bNXgXNpLDhg0L2yhMWha1zs8JgckqTtvaCDV9N9xwg2HN35kzZ3SFa9KkiaF41bDjncjVPyM2RE45fgwnegcUWtuVAMbqqVlbPCMCh1DrcvDgQYwbN042nJYPMc4XolXcFhqUNqc3qvm3a/AQqYMQ7Q3vAHz00UeOJP7www87Em9xxc3O225NlNI+cykpKYY6Hbv28EpPT0daWhqKiopEnZ9cRxBpmig9cE5KjaJnz0xALIA899xzqF69uqzRqRA5Z71uIdeJA0BWVhZat26tO57U1FSkpKQgJyeH398smuA6MumeasnJyaJ3fPfddyM9Pd22qXU1bYb0GR45coT/nZSUZCgfnLZFK4y0PejTpw8WL14MAGjZsqUtZVd71k4hfIdvv/02mjRpIlsOPc9JGFap/TSCXfHYDtOBx+NhXq/X1j+fz6cn6aglPz+fAWD5+flhS/PUqVMMQMiflD59+vDXkpOTDacjF3ffvn1F53Jzc/njgoICw2n89NNPsmXJzMw0FE9hYaGuZyIs11tvvSV7PS8vj2VmZrK8vDz+3EMPPRQSN1e3N2/ezJ8rKioylG9pnurUqaM77Pjx40Xn4+LiZJ+B8M/r9bIPP/zQcL5uvPFGzbB5eXnM6/WGPCPuOc6fP18zf1b/1q1bp7tscthVH2OBDz/8kPl8Pv49fvjhh5rvWI4qVaqofo9C9Mafl5cn+z2q5cMsXHuwadMmw2XXi9yzdgoz79Bo/NL2k0unefPmluKxGyP9t+55FiZxVWDHH2EvsWQTZZfq1s6yytldCb2lcxQVFdm+7NnI92Lm2zJrb6EnLS2bCLenP/VgZvPuWEVuOsdpo3m9U6Hh8hvH5alz5844d+6cY2UPp9fucLxDpcULly5dsiUeN9Cliz9w4IDT+SCiHGlnKjy2YujphurWiBCitAdkTk6OaDPuaBAUlKZH1NDzrNyYlpBi9flL6yNwdYurSGnIw410Oicc71jPVKgbdc3pNI1MnVkh3M9OOHW4Z88eZGRkROzWLmroEqKSkpKczgfhEnZpBJ3QLNphP+K08KK0IWZycjKOHTtmWzrh0NyaaTDVNJAcWgJxNAiYwD/1sU6dOgD024MVB8wMeszUaS2Bwo3BV8Ta6hiEK8djjz0G4Op36VQ5lBYKGLV5jQSoFYghPv74Y9fSFnam0imhI0eOoGHDhqbiDdcozCxly5YNOVeiRAn4/X5bhSgjSDsnpeXX1atXx19//WWp4dcjRAHuG1TbJahFcl10G7ffsZv5iJSyWyU1NZUXogYNGuSYZsjIQoFIh4SoGCEQCGDUqFGG77OrcxFuMJuUlIR7772XP27cuLGtK3WcxqrWxwkNhdk8BQIBRUGnQoUK2Lp1q6WG30i+lATicGiiokXbFe0YGfQ4qV11Y/AV6QM+o5QsWdKxuCNhit8ubPMTVVBQgLlz52LIkCHo3bs3unbtioMHD4rCHDlyBLt37xa5zCfsQU6yV8KJfad27tzJHweDQXz55ZeiY7c8y86dOzfsaV68eNHV7QiE/l3kDG2FWDXS1FvnzBDpgo+TZScItzGyubZRYsFnGoctQtQHH3yAunXrYsiQIZg7dy6+//57rF69OmTl0s8//4ymTZuiadOmjr6g4ojS6iE57O6clPadEuKGZ1npXmXhJC0tDSdOnLAtPq3nKxTa5syZwx8bqRdO5EsPSm3BXXfdZTluDrvqvPA5uy0sE4TdCOvzF1984Wj9DufKQyex3LpOmjQJI0eOREFBAUqWLImWLVsqhu3Xrx9q1qyJwsJCkaaCsI5Usg8nejpqN1S1RrRzQvR61FajqKgIeXl5/LFVLZzathJKjkk5B5pO1gs7tDHC/bCEXL582XLcdmLWazZBRANu1O9Ic1dgBktC1Pbt2/Hyyy8DAB566CEcO3YMmzZtUk7M60Xfvn3BGMPKlSutJE3IIJTsw4mcanbQoEGuq2qNaGGEI67XXntN9whMScPh8/mwe/du/tjM5qHC8CdOnFC8X8u/C1cvpFy5csVQfuSwqokKBAJYunSp7DU7BT87NFGRvIEwQViF6rdJzHr0ZIyxRx55hHk8Hta+fXvRec7D+e+//x5yz+eff848Hg9r3LixlaQjHjc8lguBinfufv362e6xnLFQT7Lh8CyrhdDjr1q+zXrqFXosF3oWfvPNNy15/zWSJ71hpc8AgGkPyNz99evXN3U/h5IncACsc+fOtnks37hxo6V8Mua8R+fiRsWKFXV7LCech+r3PzjisVyOn3/+GR6PByNGjNB9T7169QAAhw8ftpI0ESEIVb1S1WwkqGr1aOfsGoEJ5/dbtWplKU4jebJipGlVXc8saqLMur4wip17KAqJVmNYgpASS8be4cSSEMXtVn3ttdfqvqdUqVIAgMLCQitJEzZx8eJFS/ebmaYKN5wwp4RdW8wIhUarcRq936yRplV1vVUhyu/3K27gW61aNUtxO4H0uaakpLiUE4Kwn1gx9g4nloQozo+EEQNQTvCqWLGilaQJC2zcuJH/HQgEMHjwYN33SrUWbrovsAsnRmBW4zRzvxnNn1WD/wsXLlh+90r5lXNkahan3CVEwyCCIIwQCTMI0YQlIYp7yL///rvue1asWAGgeG7cGQls3rw5xMh4wYIF2Lx5s677w7nBZzhxYgRmNU478yTX0dshLP7555+WBQmlzUetarmEHD9+3JZ4YnEQ4RZ2vl+CcAtLQlSXLl3AGMO8efN0hd+/fz8yMjLg8XjQvXt3K0kTJlm7dq3s+V9++UXX/XZNfUUiTozArMZpR57kli57vV5kZWWZEszsFiSUnO/a2cneddddtmiMYnUQQRCEOSwJUSNGjECJEiXwyy+/YNKkSapht2zZgh49euDcuXMoVaoU0tLSrCRNmKRDhw6y59u3b6/rfjI+jD7kjNSDwWCIM1y9vPPOOyHnzAoSgUAAe/bskb32xx9/GI5PCbs0RnKG8LEyiCAIwjiWhKhGjRrh+eefB2MML7/8Mtq0aYM333yTv75s2TK88cYb6Nq1K9q0aYMDBw7A4/Hg9ddfR82aNS1nnjBO69atMWjQING5QYMGKRr3ykHGh9GFndrDQCCAt956K+S82fjUtqUR2u7ZgR0aI+lggQYRBFHMscOnwvPPP898Ph/vH0ruj7s2adIkO5KMeCLZTxRjjG3atIlNmzaNbdq0Kcw5cw+tZ2IGoZ+oSEboL8vn85n2D6Xk12ns2LGm4pPzTePUn10+b7j4OnfuXCx96NhFQkJCVHw7RPEjbH6iOF566SVs2LAB9913H0qXLg3GmOgvLi4OPXv2xNq1a/HCCy/YkSRhkdatW2PUqFGGNFBE9GKX9lBOq+X1evHUU0+Zis/v98tqtgD7V9SNHj3aVo1RjRo1SANlAUaG5UQMUMKuiFq1aoUvvvgCV65cwe7du3HixAkUFRWhSpUquP7661G6dGm7kiIIwgR+v99yp8/ZxKWlpaGoqMiW6ayBAwdi9OjRIeebN2+OHTt2WMitGLOCnhJObuxMEER0YJsQxUdYogSaNWumGe7LL79Enz597E6eIAiHSU1NRUpKCnJycpCcnGxZMFPSONmpiXLCTxQJUQRB2C5EqcEYw6efforXXnsNe/futWUDVIIgwo8dWi0OJQFn+/bttsQPXG17cnJybJ1+c8qBJ0EQ0UNYhKgrV65gwYIFeP3117F//34wxqgBIggCQHg0Ol6v13Y3BKSJsgbZRBGxgGEh6vz580hPT8fKlSuRl5eHEiVKoF69eujbty/69evH+w8Crn4k8+fPx4svvoi8vDz+XMmSJQ1tNUIQROwSjgHVU089ZbsROAlRBEEYEqJ27tyJXr168fvfCc9/8803mDlzJn744QeUK1cO2dnZePDBB7Ft2zYAV4Wn+Ph4pKamYsKECbSqhSAIAOERopwYtJEQRRCE7lbg/PnzuPvuu3HkyJEQFwbc3/r16zFixAj8/vvvaNeuHbZt2wbGGMqUKYMxY8bgwIEDeO+990iAIgiCJxxClBNpkEmCNYTTebT3IBGt6BaiPvroIxw8eBAejwddunTBmjVrcO7cOfz999/YunUr+vfvD8YYPvvsM/Tv3x+nTp2Cx+PB448/jv3792Pq1KmoUaOGk2UhCCIKiVZhhDRR1rh8+TL/2+om1gThFrqn87799lsAV7d6WbZsGUqU+OfWFi1a4NNPP8WZM2ewbNky/P777yhZsiSWLFmCXr162Z9rgiBihmjVRJEQZZ5AIIDCwkL+mNvbMCUlhWYqiKhCdyuwa9cueDwejBkzRiRACXnuuecAXG2wHn30URKgCILQJFqFqGjVoEUCcnsm2rG3IUGEG91C1F9//QUAuPbaaxXDNGnShP991113WcgWQRDFhWjV6JAQZR47N8UmCDfR3XpdvHgRAFC1alXFMJUrV+Z/16pVy0K2CIIoLkSrJurChQu2x1lc4LYP4lzi2LF9EEG4gWNDQKUpP4IgCCHRpNERGj9/9NFHZAxtAbs2xSYIN4lOPTpBEDFDtGiiAoEAhg4dyh8zxpCWlkbL8y3g9/vRuXNn0kARUYthddGMGTNQvXp1W8L9+9//Npo8QRAxRrRoorKzsxEMBkXnOGNoEgIIonhiWIiaOXOm6nWuQdQKB5AQRRBE9GiiOGNooSBFxtAEUbwxNJ2n5KnczB9BEAQQPZooMoYmCEKKbk1UZmamk/kgCKKYEi2aKOCqMXRKSgpycnKQnJxMAhRBFHN0C1GdOnVyMh8EQRBRgd/vJ+GJIAgAxWh13owZM1C/fn3Ex8ejZcuWWLt2rWr4n3/+GS1btkR8fDwaNGiAWbNmhSmnBEHYTbRMGRIEEV0UCyFq0aJFGDVqFJ577jls374dHTp0QM+ePXHo0CHZ8AcOHECvXr3QoUMHbN++Hc8++yxGjhyJL7/8Msw5JwiCIAgiUikWQtTbb7+N1NRUPPbYY2jSpAmmT5+OOnXqKK4gnDVrFurWrYvp06ejSZMmeOyxx/Doo49i6tSpYc45QRB2cPz4cbezQBBEDBLzQtSlS5ewdetW9OjRQ3S+R48eWL9+vew9WVlZIeFTUlKwZcsWXL58WfaewsJCFBQUiP4IgogMOnfuTN7FCYKwnZgXok6ePImioiLUqFFDdL5GjRo4duyY7D3Hjh2TDX/lyhWcPHlS9p7JkycjISGB/6tTp449BSAIwjLBYJC8ixMEYTsxL0RxSA1LGWOqxqZy4eXOc0ycOBH5+fn8X15ensUcEwRhJ5x3cYIgCLuI+V2Cq1atCp/PF6J1OnHiRIi2iSMxMVE2fIkSJVClShXZe0qVKoVSpUrZk2mCIGyHvIsTBGE3Ma+JKlmyJFq2bImVK1eKzq9cuRK33HKL7D3t2rULCb9ixQq0atUKcXFxjuWVIAhn8Hq95F2cIAjbiXkhCgDGjBmDDz/8EHPnzsWePXswevRoHDp0CMOGDQNwdSru4Ycf5sMPGzYMBw8exJgxY7Bnzx7MnTsXGRkZGDt2rFtFIAjCAmvWrEFqaqrb2SAIIsaI+ek8AOjXrx/++usvvPTSSzh69CiaNm2KpUuXIikpCQBw9OhRkc+o+vXrY+nSpRg9ejQ++OAD1KpVC++++y769OnjVhEIgrBArVq13M4CQRAxiIfRbsCOUFBQgISEBOTn56NChQphT19oAE+v+CpOPJOBAwdi4cKFtsZZHHHao/j+/ftRv359R9MgCCI2MNJ/F4vpvOKG1B8O+cchijuLFy92OwsEQcQgJETFGIFAAEOHDhWdI/84RHHnueeeo2+AIAjbISEqxsjOzkYwGBSdI/84RHGHvgGCIJyAhKgYo2HDhvB6xa+V/OMQxR36BgiCcAISomIMv9+P9PR0+Hw+AFc7D/KPQxR3XnvtNfoGCIKwnWLh4qC4kZqaipSUFOTk5CA5OZk6D6LYM2DAALezQBBEDEJCVIzi9/tJeCIIgiAIB6HpPIIgYh6n/VARBFE8ISGKIAiCIAjCBCREEcUSJ3wGkR8ic4TDGSxpogiCcAISoohiSVJSki2dt9D3kF1xFifknMMSBEFECyREEcUCqZYoGAxa9uQeCASwceNGW+Msbsg5h3UC0kQRBOEEJEQRxYLs7OyQc1a9WGdnZ4dsOkyesY0h5xyWIAgiWqDWiygWOOHJnbzDW4dzDksQBBGNkBBFFAuc8ORO3uHtITU1Fddcc43p+/VM1Uk1hgRBEHbgYdS6OEJBQQESEhKQn5+PChUquJ0d4v8TCARs9+TuRJzFiUAggDp16pi+f+DAgfj4449Vw+Tl5dG7IQhCF0b6b/JYThQrnPDkTt7hrSFnr2aEmjVraoahsSJBEE5A03kEQbhKw4YNDYX3er0YO3Ysf/zrr79q3hOOFYAEQRQ/SIgiCMJV/H6/7um8zMxMHDx4EFOmTOHPrVixQvM+0kQRBOEEJEQRBOE6tWvX1hWuc+fOIVOnegQk0kQRBOEEJEQRBOE6pUqV0hVOzpGpntV5R44cMZwngiAILUiIIgjCdfROt3Fb6wi319Fzb6dOnWhLHoIgbIdW5xEEETUEg0FTe+1xW/KkpKTQSkqCIGyDNFEEQbiOEcPvYDBoysaJtuQhCMJuSIgiCMJ1jAhRXq/X1H57tCUPQRB2Q0IUQRCuo1eI8vl8SE9PD9luh0PJyJy25CEIwgnIJoogCNfRK0R99tln6Nu3LwAgJSUFOTk52LJlC8aNGycbz6ZNm3D+/HnakocgCEcgIYogCNfRI0T5fD60a9eOP+aEoq5duyre07p1a+uZIwiCUICm8wiCiHiUpuOys7PJkSZBEK5BmiiCIFxHSxMlnMYT0rBhQ3i9XhKkCIJwBRKiXKaoqAiXL192OxsxS1xcnMjwmIg+pNN4Qvx+P9LT05GWloaioiL4fD4UFRWFOYcEQRRXSIhyCcYYjh07hjNnzridlZinYsWKSExM1LU9COEOapqo0aNHqxqFp6am8kbmycnJujczJgiCsAoJUS7BCVDVq1dHmTJlqIN3AMYYLly4gBMnTgAAatas6XKOCCXUhKinnnpK836/30+r7wiCCDskRLlAUVERL0BVqVLF7ezENKVLlwYAnDhxAtWrV6epvShAOiVHwhFBEJEKrc5zAc4GqkyZMi7npHjAPWeyPYtchJqo3NxcvPrqq7bEGwgEbImHIAhCDhKiXISm8MIDPefowu/344YbbrAlrqSkJGRkZNgSF0EQhBQSogiCcB0je+epIdU8BYNBpKWlkUaKIAhHICGKcIR69eph+vTpbmeDiBLsEqKys7NDzhUVFSEnJ8eW+AmCIISQEEUYJi8vD6mpqahVqxZKliyJpKQkPPXUU/jrr7/czhpRzGnYsGHIOZ/Ph+TkZBdyQxBErENCVJQTCASQmZkZtumK/fv3o1WrVvjjjz/w2WefIScnB7NmzcKPP/6Idu3a4dSpU2HJBxFb2KWJkq7kU9ouhiAIwg5IiIoQGGM4f/68ob8ZM2YgKSkJXbp0QVJSEmbMmGE4DqOd1xNPPIGSJUtixYoV6NSpE+rWrYuePXti1apVOHz4MJ577jk+7NmzZ/Hggw+iXLlyqFWrFt577z1RXJMmTULdunVRqlQp1KpVCyNHjrTlWRIEAEyePBm5ublITU11OysEQcQo5CcqQrhw4QLKlStn+v5gMIgnnngCTzzxhKH7zp07h7Jly+oKe+rUKSxfvhyvvvoq73+JIzExEf/617+waNEizJgxAwAwZcoUPPvss5g0aRKWL1+O0aNHo3HjxujevTu++OILTJs2DZ9//jmuv/56HDt2DL/++quhvBOxg12aKCHNmjUjDRRBEI5CQhShm+zsbDDG0KRJE9nrTZo0wenTp/Hnn38CANq3b49nnnkGANCoUSP88ssvmDZtGrp3745Dhw4hMTER3bp1Q1xcHOrWrYubb745bGUhIgs1ISoQCJgShsi1BUEQTkPTeRFCmTJlcO7cOd1/e/fuhdcrfn0+nw979+41FI+dDj+5jpDrvKSbxrZr1w579uwBAPTt2xd///03GjRogCFDhuCrr77ClStXbMsLEd2sWLGC/02+ngiCiFRIiIoQPB4PypYtq/uvUaNGSE9P57cx4QxoGzVqZCgeI6P15ORkeDwe7N69W/b6//73P1SqVAlVq1ZVLScA1KlTB3v37sUHH3yA0qVL4/HHH0fHjh3Jq3gxRaiJCgQC+OCDD/hj8vVEEESkQkJUFJOamorc3FxkZmaGxYC2SpUq6N69O2bMmIG///5bdO3YsWP45JNP0K9fP15Q2rBhgyjMhg0b0LhxY/64dOnSuOuuu/Duu+9i9erVyMrKwq5duxwtAxGZCIUobtpYCPl6IggiEiGbqCgn3LvXv//++7jllluQkpKCV155BfXr18fvv/+OcePGoXbt2qI9z3755Re8+eabuOeee7By5Ur85z//wffffw8AmD9/PoqKitCmTRuUKVMGH3/8MUqXLo2kpCQAwMSJE3H48GF89NFHYSsb4R5Coalhw4bwer0IBoP8OTO+nk6ePGlb/giCIOQgTRRhiIYNG2LLli245ppr0K9fP1xzzTUYOnQobrvtNmRlZaFy5cp82Keffhpbt25FixYt8PLLL+Ott95CSkoKAKBixYqYM2cO2rdvj2bNmuHHH3/Et99+iypVqgAAjh49ikOHDrlSRiL8CIUov98vO1WtZ7AgtJ0aNGgQ2VIRBOEoHubE2mICBQUFSEhIQH5+PipUqCC6dvHiRRw4cAD169dHfHy8SzksPtDzjnxuuOEG/PbbbwD+EagCgQBycnKQnJysS4AKBAJISkoK0WDl5uaSqwOCIHSj1n9Loek8giBcR24sZ3SqOjs7WyRAAf/YUpEQRRCEE9B0HkEQrmOHQpyzpRJC++YRBOEkJEQRBBETWLGlIgiCMANN5xEE4Tp2mWampqYiJSXFkC0VQRCEWUiIIggipgi32w+CIIovMT+dd/r0aQwcOBAJCQlISEjAwIEDcebMGdV7Bg8eDI/HI/pr27ZteDJMEMUQWiRMEEQ0EvOaqAcffBCBQADLli0DAAwdOhQDBw7Et99+q3rf7bffjnnz5vHHJUuWdDSfBFGcISGKIIhoJKaFqD179mDZsmXYsGED2rRpAwCYM2cO2rVrh7179+Laa69VvLdUqVJITEzUnVZhYSEKCwv544KCAvMZJwiCIAgi4onp6bysrCwkJCTwAhQAtG3bFgkJCVi/fr3qvatXr0b16tXRqFEjDBkyBCdOnFANP3nyZH7KMCEhAXXq1LGlDARRHCBNFEEQ0UhMC1HHjh1D9erVQ85Xr14dx44dU7yvZ8+e+OSTT/DTTz/hrbfewubNm9GlSxeRpknKxIkTkZ+fz//l5eXZUobixurVq+HxeDTt1oTUq1cP06dPdyxPhPOQEEUQRDQSlULUpEmTQgy/pX9btmwBAHg8npD7GWOy5zn69euHO+64A02bNkXv3r3xww8/4I8//uA3z5WjVKlSqFChgugvFuGM7ocNGxZy7fHHH4fH48HgwYPDnzGCIAiCCDNRaRM1YsQI9O/fXzVMvXr1sHPnThw/fjzk2p9//okaNWroTq9mzZpISkpCdna24bzGInXq1MHnn3+OadOmoXTp0gCu7k/32WefoW7dui7njohGSBNFEEQ0EpWaqKpVq6Jx48aqf/Hx8WjXrh3y8/OxadMm/t6NGzciPz8ft9xyi+70/vrrL+Tl5aFmzZpOFOcqjAHnz4f/z0TnddNNN6Fu3bpYsmQJf27JkiWoU6cOWrRowZ8rLCzEyJEjUb16dcTHx+PWW2/F5s2bRXEtXboUjRo1QunSpXHbbbchNzc3JL3169ejY8eOKF26NOrUqYORI0fi/PnzhvNNEARBEHYSlUKUXpo0aYLbb78dQ4YMwYYNG7BhwwYMGTIEd955p2hlXuPGjfHVV18BAM6dO4exY8ciKysLubm5WL16NXr37o2qVavi3nvvdS6zFy4A5cqF/+/CBVPZfeSRR0QuIObOnYtHH31UFGb8+PH48ssvsWDBAmzbtg3JyclISUnBqVOnAAB5eXm477770KtXL+zYsQOPPfYYnnnmGVEcu3btQkpKCu677z7s3LkTixYtwrp16zBixAhT+SYiE9JEEQQRjcS0EAUAn3zyCW644Qb06NEDPXr0QLNmzfDxxx+Lwuzduxf5+fkAru63tWvXLtx9991o1KgRBg0ahEaNGiErKwvly5d3owgRycCBA7Fu3Trk5ubi4MGD+OWXX/DQQw/x18+fP4+ZM2diypQp6NmzJ6677jrMmTMHpUuXRkZGBgBg5syZaNCgAaZNm4Zrr70W//rXv0LsqaZMmYIHH3wQo0aNQsOGDXHLLbfg3XffxUcffYSLFy+Gs8iEg5AQRRBENBKVNlFGqFy5MhYuXKgaRtiAly5dGsuXL3c6W6GUKQOcO+dOuiaoWrUq7rjjDixYsACMMdxxxx2oWrUqf33fvn24fPky2rdvz5+Li4vDzTffjD179gC46serbdu2IiP/du3aidLZunUrcnJy8Mknn/DnGGMIBoM4cOAAmjRpYir/ROQSCARo2xaCIKKCmBeiogaPByhb1u1cGOLRRx/lp9U++OAD0TVOMJWughSujNSjfQgGg0hLS8PIkSNDrpERe+wgdE6blJSE9PR0pKamupgjgiAIbWJ+Oo9wjttvvx2XLl3CpUuXkJKSIrqWnJyMkiVLYt26dfy5y5cvY8uWLbz26LrrrsOGDRtE90mPb7rpJvz+++9ITk4O+aOteGKDQCCAkydP8sec4BwIBFzMFUEQhDYkRBGm8fl82LNnD/bs2QOfzye6VrZsWQwfPhzjxo3DsmXLsHv3bgwZMgQXLlzgNQzDhg3Dvn37MGbMGOzduxeffvop5s+fL4pnwoQJyMrKwhNPPIEdO3YgOzsb33zzDZ588slwFZNwGDnXIUVFRcjJyXEhNwRBEPohIYqwhJpj0ddffx19+vTBwIEDcdNNNyEnJwfLly9HpUqVAFydjvvyyy/x7bffonnz5pg1axZee+01URzNmjXDzz//jOzsbHTo0AEtWrTA888/76y7CSKsNGzYEF6vuCny+XxITk52KUcEQRD68DBaFuMIBQUFSEhIQH5+foiQcfHiRRw4cAD169dHfHy8SzksPtDzjnwyMjKQlpaGoqIi+Hw+zJ49m2yiCIJwBbX+WwoZlhME4TqpqalISUlBTk4OkpOTaXUeQRBRAQlRBEFEBH6/n4QngiCiCrKJIgiCIAiCMAEJUQRBEARBECYgIcpFyKY/PNBzJgiCIJyAhCgXiIuLAwBcMLn5L2EM7jlzz50gCIIg7IAMy13A5/OhYsWKOHHiBACgTJkyIdujENZhjOHChQs4ceIEKlasGOIQlCAIgiCsQEKUSyQmJgIAL0gRzlGxYkX+eRMEQRCEXZAQ5RIejwc1a9ZE9erVcfnyZbezE7PExcWRBoogCIJwBBKiXMbn81EnTxAEQRBRCBmWEwRBEARBmICEKIIgCIIgCBOQEEUQBEEQBGECsolyCM7BY0FBgcs5IQiCIAhCL1y/rcdRMwlRDnH27FkAQJ06dVzOCUEQBEEQRjl79iwSEhJUw3gY7YnhCMFgEEeOHEH58uVtdaRZUFCAOnXqIC8vDxUqVLAt3kgi1ssY6+UDYr+MVL7oJ9bLGOvlA5wrI2MMZ8+eRa1ateD1qls9kSbKIbxeL/x+v2PxV6hQIWY/DI5YL2Oslw+I/TJS+aKfWC9jrJcPcKaMWhooDjIsJwiCIAiCMAEJUQRBEARBECYgISrKKFWqFF544QWUKlXK7aw4RqyXMdbLB8R+Gal80U+slzHWywdERhnJsJwgCIIgCMIEpIkiCIIgCIIwAQlRBEEQBEEQJiAhiiAIgiAIwgQkRBEEQRAEQZiAhCiHqVevHjweT8jfE088wYfZs2cP7rrrLiQkJKB8+fJo27YtDh06xF8/duwYBg4ciMTERJQtWxY33XQTvvjiC1E6p0+fxsCBA5GQkICEhAQMHDgQZ86cEYU5dOgQevfujbJly6Jq1aoYOXIkLl26FBVlzM3NRWpqKurXr4/SpUvjmmuuwQsvvBCSf7l8zJo1K+LLp5TOM888IwoTze9w9erVsml4PB5s3ryZDxep73Dfvn249957Ua1aNVSoUAEPPPAAjh8/LkrHre8wHOVz8xsMVxmV0gnHdxiO8rn5Deopo1LepkyZwsdRWFiIJ598ElWrVkXZsmVx1113IRAIiNIJ63fICEc5ceIEO3r0KP+3cuVKBoBlZmYyxhjLyclhlStXZuPGjWPbtm1j+/btY9999x07fvw4H0e3bt1Y69at2caNG9m+ffvYyy+/zLxeL9u2bRsf5vbbb2dNmzZl69evZ+vXr2dNmzZld955J3/9ypUrrGnTpuy2225j27ZtYytXrmS1atViI0aMiIoy/vDDD2zw4MFs+fLlbN++fey///0vq169Onv66adFeQHA5s2bJ8rPhQsXIr58jDGWlJTEXnrpJVFaZ8+e5a9H+zssLCwUpXH06FH22GOPsXr16rFgMMjHE4nv8Ny5c6xBgwbs3nvvZTt37mQ7d+5kd999N2vdujUrKiri03HrOwxH+dz8BsNVRsbc+w7DUT43v0E9ZZTmbe7cuczj8bB9+/bxcQwbNozVrl2brVy5km3bto3ddtttrHnz5uzKlSt8mHB+hyREhZmnnnqKXXPNNXyF7devH3vooYdU7ylbtiz76KOPROcqV67MPvzwQ8YYY7t372YA2IYNG/jrWVlZDAD73//+xxhjbOnSpczr9bLDhw/zYT777DNWqlQplp+fb0vZOJwooxxvvvkmq1+/vugcAPbVV1+Zy7hOnCpfUlISmzZtmmIcsfYOL126xKpXr85eeukl0flIfIfLly9nXq9X9JxPnTrFALCVK1cyxiLrO3SifHK49Q0y5lwZI+U7DMc7dPMbZCy0jFLuvvtu1qVLF/74zJkzLC4ujn3++ef8ucOHDzOv18uWLVvGGAv/d0jTeWHk0qVLWLhwIR599FF4PB4Eg0F8//33aNSoEVJSUlC9enW0adMGX3/9tei+W2+9FYsWLcKpU6cQDAbx+eefo7CwEJ07dwYAZGVlISEhAW3atOHvadu2LRISErB+/Xo+TNOmTVGrVi0+TEpKCgoLC7F169aIL6Mc+fn5qFy5csj5ESNGoGrVqmjdujVmzZqFYDAYNeV74403UKVKFdx444149dVXRerlWHuH33zzDU6ePInBgweHXIu0d1hYWAiPxyNy6hcfHw+v14t169YBiJzv0KnyyeHGNxiOMrr9HYbrHbr1DcqVUcrx48fx/fffIzU1lT+3detWXL58GT169ODP1apVC02bNhV9Y2H9Dg2JXIQlFi1axHw+Hy/9Hj16lAFgZcqUYW+//Tbbvn07mzx5MvN4PGz16tX8fWfOnGEpKSkMACtRogSrUKECW7FiBX/91VdfZQ0bNgxJr2HDhuy1115jjDE2ZMgQ1r1795AwJUuWZJ9++mnEl1FKTk4Oq1ChApszZ47o/Msvv8zWr1/Ptm/fzqZOncrKlCnDXn755ago39tvv81Wr17Nfv31VzZnzhxWtWpVlpqayl+PtXfYs2dP1rNnz5DzkfgOT5w4wSpUqMCeeuopdv78eXbu3Dn2xBNPMABs6NChjLHI+Q6dKp8Ut75Bp8sYCd9huN6hW9+gXBmlvPHGG6xSpUrs77//5s998sknrGTJkiFhu3fv7tp3SEJUGOnRo4doXvbw4cMMABswYIAoXO/evVn//v354xEjRrCbb76ZrVq1iu3YsYNNmjSJJSQksJ07dzLGrlaaRo0ahaSXnJzMJk+ezBi7Wml69OgREiYuLo599tlntpSPMefKKOTw4cMsOTlZ1LApMXXqVFahQgULJRITjvJxfPHFFwwAO3nyJGMstt5hXl4e83q97IsvvtDMT6S8w+XLl7MGDRowj8fDfD4fe+ihh9hNN93Ehg8fzhiLnO/QqfIJcfMbZCw8ZeRw4zsMR/nc/AYZCy2jlGuvvTbERklJiOrWrRtLS0tjjIX/OyxhTG9FmOXgwYNYtWoVlixZwp+rWrUqSpQogeuuu04UtkmTJrz6dd++fXj//ffx22+/4frrrwcANG/eHGvXrsUHH3yAWbNmITExMWSFCQD8+eefqFGjBgAgMTERGzduFF0/ffo0Ll++zIeJ5DJyHDlyBLfddhvatWuH9PR0zTy1bdsWBQUFOH78uOVyhqN80rwDQE5ODqpUqRIz7xAA5s2bhypVquCuu+7SzFMkvEMA6NGjB/bt24eTJ0+iRIkSqFixIhITE1G/fn0AiIjv0Mnycbj5DQLhKaM0/0D4vsNwlc+tbxCQL6OQtWvXYu/evVi0aJHofGJiIi5duoTTp0+jUqVK/PkTJ07glltu4cOE8zskm6gwMW/ePFSvXh133HEHf65kyZJo3bo19u7dKwr7xx9/ICkpCQBw4cIFAIDXK35VPp+Pn6Nu164d8vPzsWnTJv76xo0bkZ+fz1esdu3a4bfffsPRo0f5MCtWrECpUqXQsmXLiC8jABw+fBidO3fGTTfdhHnz5oWEl2P79u2Ij49HxYoVzRaLx+nyyeUdAGrWrAkgNt4hADDGMG/ePDz88MOIi4vTzFMkvEMhVatWRcWKFfHTTz/hxIkTfCcUCd+hk+UD3P8GAefLKJd/IHzfYTjK5+Y3CMiXUUhGRgZatmyJ5s2bi863bNkScXFxWLlyJX/u6NGj+O2330TfWFi/Q0N6K8IURUVFrG7dumzChAkh15YsWcLi4uJYeno6y87OZu+99x7z+Xxs7dq1jLGrqyeSk5NZhw4d2MaNG1lOTg6bOnUq83g87Pvvv+fjuf3221mzZs1YVlYWy8rKYjfccIPsks6uXbuybdu2sVWrVjG/32/L8vhwlJGbPujSpQsLBAKiZbAc33zzDUtPT2e7du1iOTk5bM6cOaxChQps5MiREV++9evX87YO+/fvZ4sWLWK1atVid911F59OtL9DjlWrVjEAbPfu3SHpROo7ZIyxuXPnsqysLJaTk8M+/vhjVrlyZTZmzBhRPG5+h06Xz+1vMBxldPs7DEcdZcy9b1CrjIwxlp+fz8qUKcNmzpwpe33YsGHM7/ezVatWsW3btrEuXbrIujgI13dIQlQYWL58OQPA9u7dK3s9IyODJScns/j4eNa8eXP29ddfi67/8ccf7L777mPVq1dnZcqUYc2aNQtZSv7XX3+xf/3rX6x8+fKsfPny7F//+hc7ffq0KMzBgwfZHXfcwUqXLs0qV67MRowYwS5evBgVZZw3bx4DIPvH8cMPP7Abb7yRlStXjpUpU4Y1bdqUTZ8+nV2+fDniy7d161bWpk0blpCQwOLj49m1117LXnjhBXb+/HlRPNH8DjkGDBjAbrnlFtk0IvkdTpgwgdWoUYPFxcWxhg0bsrfeeitkabab36HT5XP7GwxHGd3+DsNRRxlz7xtkTLuMs2fPZqVLl2ZnzpyRvf7333+zESNGsMqVK7PSpUuzO++8kx06dEgUJpzfoYcxxozprgiCIAiCIAiyiSIIgiAIgjABCVEEQRAEQRAmICGKIAiCIAjCBCREEQRBEARBmICEKIIgCIIgCBOQEEUQBEEQBGECEqIIgiAIgiBMQEIUQRAEQRCECUiIIogYZf78+fB4PPB4PMjNzXU7O2Ghc+fOfJmFf4S7rF69mn8Xq1evtjVuuffduXNnW9MgCCVIiCKICCM3N1e2YzD6RxAEQThLCbczQBAEYTetWrXCvHnz3M4GEQZ27drF/37kkUewZcsWF3NDFDdIiCKICKN27dqijkFKSkoKjhw5glq1amH58uWK4Zo2bYrBgwc7kMPIp2zZsmjatKnb2SDCgPA9ly1b1sWcEMUREqIIIsKIi4tTFQDi4uJ0hSMIgiCchWyiCIIgCIIgTEBCFEHEKFqr87iVbNxKppycHAwbNgwNGjRA6dKlUa9ePaSmpuLgwYOi+3777Tc88sgjaNCgAeLj41GnTh0MHz4cJ06c0JWvlStX4qGHHkL9+vVRunRpVKhQAc2bN8f48eNx9OhRq8U2xNatW5GamopGjRqhbNmyfHlatmyJJ554At988w0YY4r3BwIBTJw4ETfddBMqVaqE+Ph41K1bF/369UNmZqauPPz555946aWX0L59e1SvXh2lSpVCnTp10L59e7z00kvYu3ev4r25ubkYPXo0rr/+epQvXx5lypRBw4YNkZaWpjolDPyzqm3SpEkAgM2bN2PAgAHw+/0oVaoUateujYEDB2LPnj2aZfj777/x6quvonnz5ihbtiyqVKmC9u3bY86cOQgGg7qeg9V3QRCuwAiCiCqSkpIYAJaUlKQabt68eQwAA8AOHDgQcr1Tp04MAOvUqRNbuXIlK1++PB9e+Fe9enW2Z88exhhjn376KStVqpRsuKSkJHb48GHF/Jw7d47de++9svdyf+XKlWPffvut6WcjLJMWb7/9NvN6var5AcDOnj0re/+HH37ISpcurXpvamoqu3z5smIeFi5cyMqWLasah9J7XrBggeK7AMB8Ph977bXXFNPmwr3wwgvsvffeYyVKlJCNp0yZMuznn39WjOfw4cOscePGivm4/fbb2fLly/njzMxM298Fh5H3TxB2QEIUQUQZdgtRDRs2ZJUqVWJ16tRh7733Htu4cSNbu3YtGzVqFPN4PAwAa9++Pdu0aRMrUaIEa9KkCfvwww/Zpk2bWGZmJhs4cCCfTr9+/WTzcuXKFXbbbbcxAMzj8bABAwaw//znP2zLli0sKyuLvfPOO6xu3boMACtZsiTbsmWLqWejtxP99ddf+U67fv367K233mI//vgj2759O1u7di2bO3cuGzhwICtXrpxsx52RkcGXuWnTpuy9995j69atY9u2bWNffvkl69WrF399zJgxsnlYsGABHyY+Pp49+eSTbOnSpWzbtm1szZo17P3332cpKSmsQYMGIfd+9913/LspV64ce+GFF9jatWtZVlYWe+utt1jVqlX5uGfMmCGbPne9bdu2zOPxsObNm7O5c+eyzZs3szVr1rDRo0fzz6hu3bqssLAwJI7Lly+zFi1a8HH16NGDffXVV2zLli1syZIlrFu3bgwAa926taIQZfVdCCEhigg3JEQRRJRhtxDFCVInTpwICTNu3Dg+TLVq1Vj79u3Z+fPnQ8L17duXAWAlSpSQjWfq1KkMAIuLi2NLly6Vze+pU6fY9ddfzwCwW2+9VbVsSujtRJ9//nkGgJUtW5YdO3ZMMdyZM2dYUVGR6NyhQ4dYmTJlGAA2aNAgRU3Ts88+ywAwr9fL9u7dK7p2+PBhPo7q1auzXbt2KeYhLy9PdHzp0iVWu3ZtXoDavn17yD25ubmsZs2avCbpzz//DAkj1PD06tVLVkh65ZVX+DBLliwJuf7uu+/y14cOHSqb/0cffVSUllSIsvIupJAQRYQbsokiCALvvvsuqlWrFnL+8ccf53+fPHkSc+bMQZkyZULCDR8+HABw5coVZGVlia5dvnwZb731FgBgxIgR6Nmzp2weKlWqhClTpgAA1q1bh5ycHHOF0cGxY8cAAI0aNUKNGjUUwyUkJMDrFTeT77zzDi5cuIBatWph1qxZKFFCfpHziy++iNq1ayMYDOKjjz4SXXvvvfdw4cIFAMDs2bNVV1n6/X7R8VdffYXDhw8DAJ577jnceOONIfckJSXxz/LChQuqPrPi4+Mxb948lCxZMuTayJEj+fNr164NuT5z5kwAQI0aNTBt2jTZ+N955x3ZusVh5V0QhNtQjSSIYk7FihWRkpIie61evXqoUKECAKBZs2Zo0qSJbLjmzZvzv/fv3y+6tmnTJt5g/IEHHlDNS8eOHfnfUmHMTmrWrAkA2L17NzZt2mTo3v/+978AgN69eyM+Pl4xXIkSJdCuXTsAoWX5/vvvAQD169fH3XffbSj9VatWAbhqGP7oo48qhuvbty8SEhJE98jRvXt3VK9eXfZa+fLl0bBhQwCh7/XIkSO80fkDDzwgK1wDQLly5VTfu5V3QRBuQ0IUQRRzGjZsqLpNDNcRN2rUSDFMxYoV+d9nz54VXRN6kG7Xrp3qVjXlypXjw3IaCicYMGAA4uLiUFhYiPbt26N3796YNWsWfv/9d9UVYPn5+byGbPbs2Zpb73zxxRchZbl8+TJ+++03AECHDh0Mb9HD3VuvXj1F4QcASpYsiRYtWojukaNx48aq6VWuXBlA6HsVrv5r3bq1ahw333yz4jWz74IgIgESogiimKOkQeDgplDUwgmnWYqKikTX9Lo+kMJNdzlB48aN8dlnn6FSpUq4cuUKvvvuOwwfPhxNmzZF9erVMXDgQNnpKzvKcurUKV444LQwRjh16hQAqE59cSQmJorukUPv+5e+19OnT/O/1YQ5QD2vZt8FQUQC5LGcIAhHEXa+q1evRpUqVXTdp9UxW6VPnz7o1q0bFi1ahOXLl2Pt2rX4888/cfLkSSxcuBALFy7EoEGDMHfuXFlBYtSoUUhNTdWVlpy9EQBLG0XruddJTY4wbq28aOXDzLsgiEiAhCiCIBxFKDSVLFkyoraqSUhIwNChQzF06FAAV+1yvvnmG7z33ns4cuQIFixYgBYtWuCpp54CIC7LhQsXTJWlcuXK8Hq9CAaDOHLkiKn7AX3TncePHxfdYyfCOLl0lNCjwTP6LggiEiCRniAIR+HscgBgxYoVLuZEm+uuuw7PPPMMNmzYwG9mu3jxYv56tWrVULt2bQBXjbXNaHqEex6uXbvWcBzcvbm5uarCyeXLl7F9+3bRPXZyww038L83b96sGlbruhxa74IgIgESogiCcJRbb72V11rMmjULBQUFLudImzp16vCG9CdPnhRdu+uuuwBcXa3GGY4bpXfv3gCAAwcO8Kv99NKtWzcAV6fI5s6dqxjuiy++QH5+vugeO6lVqxa/WvM///kP/v77b9lw58+ftyT8qL0LgnAbEqIIgnCU+Ph4jB07FsDVKaj+/fvj/PnziuHPnj2L999/39E8ff311zhz5ozi9by8PPzvf/8DcNUNgZBx48ahVKlSAIBhw4aJVh/KsXTpUuzcuVN0bsSIEbx2JS0tTXX1XCAQEB3fe++9qFWrFgDgtddew6+//iqbf+6ZlylTBo888ohqHs3C+Qc7duwYnn76adkwo0ePVtWYWXkXBOE2ZBNFEITjjB8/Hj/++CN+/PFH/PDDD7juuuswbNgwtGvXDhUrVsTZs2exd+9erF69Gl9//TXi4+MxYsQIx/Izffp0/Otf/8Idd9yBLl26oEmTJkhISMDp06exZcsWvPfee7xmhRMUOOrXr49Zs2bhkUcewalTp9C+fXsMHDgQd955J+rWrYsrV64gEAhg06ZN+OKLL7Bv3z58++23aNasGR9HYmIiZs6ciYcffhgnTpzAzTffjCFDhqBnz55ITEzEuXPn8Ntvv+Gbb77B3r17sW/fPv7euLg4pKeno3fv3jh79ixuvfVWjBs3Dl27dkWJEiWwfv16vP7667zgMnXqVFStWtWR5zh8+HDMmzcP27dvx8yZM3HgwAEMGzYMderUQV5eHmbMmIEVK1agdevWilN6Vt4FQbiOa77SCYIwhRMbEOtJb9CgQarhuLReeOEF2esXLlxgDz/8sOYms/j/e6iZQW+ZhFveKP1pbeD7+eefswoVKmjG4/V62U8//SQbx/z58zU3MVZ6z/Pnz7dtA2I9z0rpmR4+fJhde+21ivno0aOH6gbEdrwLvXklCLshTRRBEGGhdOnSWLBgAUaOHImMjAysWbMGgUAA58+fR7ly5VCvXj20bNkSPXv2xJ133uloXhYvXoxVq1Zh5cqV2LFjB44dO4aTJ08iPj4e9erVQ8eOHTFs2DCR8bSUfv36oUePHkhPT8eyZcuwe/dunD59GnFxcUhMTMT111+P2267Dffffz/q1KkjG8egQYPQo0cPfPDBB1i2bBn27duHCxcuIDExEXXr1kXPnj0xYMAAxXs7deqE6dOnY8WKFTh06BCCwSBq1aqFLl264Mknn1TNv13UqlUL27dvx9tvv43PP/8c+/btQ6lSpdC4cWM8/PDDSEtLw5o1axTvt+NdEIRbeBgjl7AEQcQGnTt3xs8//4xOnTph9erVbmeHCDP0/olwQ5oogiBijvPnz4uMtSPJNxVhL8L3rLZggSCcgIQogiBiji1btoimf0jhHrvQNB/hJuTigCAIgiAIwgRkE0UQBEEQBGEC0kQRBEEQBEGYgIQogiAIgiAIE5AQRRAEQRAEYQISogiCIAiCIExAQhRBEARBEIQJSIgiCIIgCIIwAQlRBEEQBEEQJiAhiiAIgiAIwgQkRBEEQRAEQZiAhCiCIAiCIAgT/D9CUIo8fnPMvQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_1b.normalize()\n",
"lc_1b.plot_lc()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**If the user wants to see the steps inside the automatic mode, just set the** `plot` **parameter as True**"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Normalization using a 1 degree polynomial\n",
"There is no improvement with a 2 degree polynomial\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_1b.normalize(plot=True)\n",
"lc_1b.plot_lc()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**As an standard procedure within the SORA library the user can control all the parameters**\n",
"\n",
"This is useful when the automatic mode does not work correctly (particular cases), or for better control of the procedure. "
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mask = (lc_1b.time < 76875) + (lc_1b.time > 76900) \n",
"lc_1b.normalize(poly_deg=5,mask=mask)\n",
"\n",
"lc_1b.plot_lc()\n",
"pl.axvline(76875)\n",
"pl.axvline(76900)\n",
"pl.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Also, the user can control the maximum and/or minimum value of the flux**"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_4.plot_lc()\n",
"pl.ylim(-0.5,1.5)\n",
"pl.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**In this case the bottom flux goes to 0.5, instead of the expected 0.0. This can be solved setting the** `flux_min` **parameter**"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Normalization using a 0 degree polynomial\n",
"There is no improvement with a 1 degree polynomial\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_4.normalize(flux_min=0.50)\n",
"\n",
"lc_4.plot_lc()\n",
"pl.ylim(-0.5,1.5)\n",
"pl.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**If the user is not satisfied with the normalization, it is possible to throw away and redo the normalization process and to return to the initial stage using the** `LightCurve.reset_flux()`"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_4.reset_flux()\n",
"\n",
"lc_4.plot_lc()\n",
"pl.ylim(-0.5,1.5)\n",
"pl.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"## 4. Automatic detection of Occultations\n",
"\n",
"Before considering any effect (Fresnell scale, star diameter, etc), the user can choose that SORA detect the events in the light curve automatically. This process is done using the BLS algorithm (Kovacs et al., 2002). This function will always find events and give their Signal to Noise Raito (SNR). The user will consider the values for the events found and determine the significance of each event. This is a useful tool for detection of low depth events or to check for secondary events, for example.\n",
"\n",
"The result of the `LightCurve.occ_detect()` will be a python dictionary containing: a rank for the detection; duration; central, immersion and emersion times; time uncertainty; flux depth and its uncertainty; baseline flux and its uncertainty; SNR; and a boollean mask with the values inside the detection. All the times are in seconds. The automatic mode will determine only one detection (the most significant)."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\u001b[0;31mSignature:\u001b[0m\n",
"\u001b[0mlc_2a\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mocc_detect\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mmaximum_duration\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mdur_step\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0msnr_limit\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mn_detections\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mplot\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mDocstring:\u001b[0m\n",
"Detects automatically the occultation event in the light curve.\n",
"\n",
"Detects a 'square well' shaped transit. All parameters are optional.\n",
"\n",
"Parameters\n",
"----------\n",
"maximum_duration : `float`, default: light curve time span\n",
" Maximum duration of the occultation event.\n",
"\n",
"dur_step : `float`, default: 1/2 of sampling rate\n",
" Step size to sweep occultation duration event.\n",
"\n",
"snr_limit : `float`, default=None\n",
" Minimum occultation SNR.\n",
"\n",
"n_detections : `int`, default=1\n",
" Number of detections regardless the SNR. `n_detections` is\n",
" superseded by `snr_limit`.\n",
"\n",
"plot : `bool`\n",
" True if output plots are desired.\n",
"\n",
"\n",
"Returns\n",
"-------\n",
"OrderedDict : `dict`\n",
" An ordered dictionary of :attr:`name`::attr:`value` pairs for each\n",
" parameter.\n",
"\n",
"Examples\n",
"--------\n",
">>> lc = LightCurve(time=time, flux=flux, exptime=0.0, name='lc_example')\n",
">>> params = lc.occ_detect()\n",
">>> params\n",
"{'rank': 1,\n",
"'occultation_duration': 40.1384063065052,\n",
"'central_time': 7916.773870512843,\n",
"'immersion_time': 7896.7046673595905,\n",
"'emersion_time': 7936.843073666096,\n",
"'time_err': 0.05011036992073059,\n",
"'depth': 0.8663887801707082,\n",
"'depth_err': 0.10986223384336465,\n",
"'baseline': 0.9110181732552853,\n",
"'baseline_err': 0.19045768512595365,\n",
"'snr': 7.886138392251848,\n",
"'occ_mask': array([False, False, False, ..., False, False, False])}\n",
"\u001b[0;31mFile:\u001b[0m ~/Documentos/códigos/SORA/sora/lightcurve/core.py\n",
"\u001b[0;31mType:\u001b[0m method\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_2a.occ_detect?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**For visual aid the user can set the** `plot` **parameter as True**"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'rank': 1,\n",
" 'occultation_duration': 11.52958944439888,\n",
" 'central_time': 76888.023570925,\n",
" 'immersion_time': 76882.2587762028,\n",
" 'emersion_time': 76893.7883656472,\n",
" 'time_err': 0.04017278552055359,\n",
" 'depth': 0.9797601789722584,\n",
" 'depth_err': 0.06536566413075075,\n",
" 'baseline': 1.0271920160757066,\n",
" 'baseline_err': 0.11532581974159437,\n",
" 'snr': 14.988911869883966,\n",
" 'occ_mask': array([False, False, False, ..., False, False, False])}"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"preliminary = lc_2a.occ_detect(plot=True)\n",
"preliminary"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**The user can choose to detect more than one event, two parameters can be used to control this** `n_detections` **and** `snr_limit`.\n",
"\n",
"With the `n_detections`, the user will set the number of detections they want. On the other hand `snr_limit` will obtain all the detection within the set limit. In all cases is up to the user to confirm if these detections have physical meaning."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dELfgOF5fKeV1z549btO3WCyoVasWv/7zzz/rNmeXPyg3nspw/vx5l90uYh9Obj/37nJBD8WshnKVHmE+Ysr6nDlzJBUDYZ2g1b2wWCwYM2YMn75YPu6et5MnT9pZPh3L7O46OSpTrhp/ZrMZr776qlMact6H119/3W23uJqNBn94f0RRxcsngNDLofiBBx7gna6ys7P5/9euXdMsTy4P4dK6dWvF53CL0EHtk08+4R14OWc8MafUWbNmqeqsKUyLMWnHabHF0QHZUydnYZoLFy50e1ydOnWcZKlatSovh5jcrpy5MzIyRB370tLSRNPq16+fy+vi6roJHS1ffvllu3ylHKeF53DbZs6caSen43lZWVnMarXy6xs2bFB8X8SuvauFu/9DhgzxyNFSTe7fv8/LcPDgQbfHS11vDldOpo7vjOP95549dw63QoQDJqTyHj9+vMtnhTHGunbt6nSMXFyVWWoft9SuXdspvXPnzrl8V+7du8cYc++YzNGlSxe374/wvd+yZYvsayF8huUsSnB3/pUrV/jt/uRQTMqNj2jYsCH/AAi9469evapZnmIPZf/+/SWPF456kKrwuOMc90uNdDl79ix/zNGjR1UrEyePnFFJ3DJr1izGmPzKyJ0MwP+Um9zcXLZmzRq2Zs0a/joJK05HWTjlZs2aNZIfAi5dRyVMTLmRUpLE7qXjMmjQIJf7uWs9atQop3zT0tJcnsOtc8qN1D3bvn270wfenQLqar/cZ8JoNLKHH37Yo0pfTdwpN8KyyhmdJPXh3L9/v6x3JiMjQ9HoSbPZzB8n9iwajUaWk5PjlM+YMWPs0vFGuZF6tlxdM+5//fr1na71wYMHXV6jrKwsRaMXHZUbxpzfH2FdpES5GTx4sOxnXulz7u78y5cv89t///13u2uo9gg9Um5coJdy06RJE9GHxNfKzbPPPit6rGNrumnTpnYvq/Clc9cKEr7geXl5/LZ//vlHtTKZTCZZcgiXzMxMVYa8C89duHChk8XEYDDYVVpSyo2UpYUbXi6lhP3nP/9xqmSUXgupSt7VtRNTbhyvh+M53H9OuZGSc9WqVezevXv8+uTJk10qoO4UVCXlF94DrYZLu0NYdkflxrGsYhYQ7no7nifcn5aWJvvdlVK6HfPgqF69ut01FGv87N27V/RZFw4L90a5YYyxf//735LnV6pUyS5f4fUxm82i75yr66TkXjAmrtwwxiTL6qlyI5RbqgxKcHe+o3LjbePRFaTcuEAv5ebBBx8UfUiOHTumWZ5i+YkpN1IxR6QqfLFWkNQLfv78eX79woULqpVJqeWGUxjkxISQKwMANmPGDMluJe6/mHJTuXJlSdm5Lj6xmDpr1qxhS5YscapkXFlulFi3xBZXlhvH6+F4DrcutNyIybl9+3a7D7y7mEau9ttsNo/LqnZlLBcp5UbqOZC63o4Ij5FKT3g/uIaMktg1jDFWrVo1/jipd2z27Nkun0+j0ShaTypBzNrCERUV5XSfHa+DOyunmOzeWG4cr7PQ2vHjjz/KvhbCeEYhISH8/23btonKzeUttAYqsYIKuXTpEr/9p59+0ixeGmMU58YvuXfvnuj206dP+1QOsdEEUjFHODxx6hRzHLZarYrTcce4ceNkHTd+/HiYzWbVQ9L/888/og517spqtVolnf6Sk5MloyEnJiZi+PDhTueYzWYsXbpUND1318jVCBDhaCyxcro7h4O75mazGU8//bTTOdWqVbNL35WDtbtReHLlFEOvqQOkZJZ6DoQYDAakpKTIek/NZjMmT57Mr5tMJkybNo1fP3HiBO+gHhoaanecK4dbofxi75jRaES7du1EzxU6Hv/xxx9uy+AJFovFLsaXzWazG3UIQHTkoDtsNpvdUG5XjvCO10Rsxm2hU7enz7EwH+F0K2J5d+nSBTVr1pR0KJeDUM7PPvvMb6JV66rcbN++Hb169UK1atVgMBjw9ddfuzx+3bp1ePzxx1GlShWEh4cjPj4emzZt8o2wXnLr1i3R7cIRI75A7IURG9XkKn5GVlaWyzykPohqzi5rs9kQExOD2bNnyzq+V69eAIoqd2Fl5G1I+sjISNHt7uJhmEwml9e4bt26imWRCj7Xo0cPl+e5ui/C0VjCe+lqZIi7QHitW7cW3e6uMucmn3U3Cs/b50zvuaWEiD0Hjs8WYwxvvPGGrI+SxWJB9erV+fU9e/agRo0a/Hr16tX5D19hYSG/3d09dXfvGGOSH1o1uXDhgtM2bhoaMZmUItYwevnll/n1bdu2yQoC6WrGbU7BVjLKUWlZHIO8cud7q9wvX77caZte05noqtwUFBSgadOmWLhwoazjt2/fjscffxw//PADDh06hM6dO6NXr144fPiwxpJ6h+NcJ0KEFY1eiA077NChg+TxYhWu8GOzYsUKJCQkALB/6Xbs2KFai5gJotnKQVgpde3alf/vbUTa8uXLo3Tp0k55LVmyxE5WR0wmExITEyXTNZvNqFmzptv8tbYwSCl9rlp57hRFT1ukXEA6dzNjK0m/devWusXXESIls9lstosMzSnjjsj5KHFKy4gRI/htbdu2xZAhQ/j13NxcyY+uXPmzsrKcysMk4mupGTcmPT2db8QIiYmJwY8//igrDeGzINb4GDBgAP9fGCyPIzs7W9Y76S6KudVqxblz52TJDCh/p9zlrUS5d5f32LFj9QmO6X0vmDoAYOvXr1d83oMPPsimT58u+3g9fG5cOfFdunRJs3zF8pNyKBbOP+S4iFGiRAm7fud33nnHqS86LS3NbrQU/tuvPX78eI/7YKVkdLfs3LmTT+P777/3qD9fTIaPPvqIVahQwW4bNyqMW4+NjXWSJzIyki1YsMDl9W7WrJnddRM71tFXSOwYb5yNhbzwwgtO+8X8P8TkSUlJ4bd98MEHTuecOHGC3blzR7K8Yv323L7evXszxv7nQ3DixAnZ5UtISGBt27Z1em59jbDshw4dstsndLJ1HImn5HmQ43u1atUqWek6EhkZaSej4/kmk0n0vkyZMsXunnvqc+PO/05O2R39cIYNG+Z0zNKlS/n/06ZNcxsKQYhwbjZXPnLc9RKOqnV3LQYOHMgfI6yb//rrL8XXw/FdEztGiOMcXI75qOmkX2x8bmw2G27cuIGKFStKHlNYWIjr16/bLb7Gky4GX8NcaN+5ublO24TTB8yaNcsu/Dfwv5bkL7/84pQPN9eJL2cd51phFosFv/76q6Z5nTp1SlbrzV3ofOE9Ec7sLkSOhUGtmXrz8/Odtslt4UvNbyXcL9zu+Dy56joMCwtDamoq7zcgjNbqjrt379q9n++8847fzS0l9N9y1QJ2Z3GSe6+URMblEN47s9mMSpUq2e1PSUkRtQb07t2b///EE0943MJ3ZwmRU/aVK1fa3fty5cq5PH7GjBkuu5Vc1QFms1nUd45j7Nixkl3eaiDlh8f5DAGuu56l4LqOOVJTU3Wb0iSglZsPP/wQBQUFeOaZZySPSUlJQUREBL8I+5d9hdlsRmxsrOg+sYreXbRLb0OlK8Wdj03FihWRnZ3ttN1qtUrOUeRrx02DwcCb5d98801Z58i5zlevXnXyp+rdu7edo6DYPbZarYqUmwkTJoge48uKIzw8XJV0pBRp4fYGDRrY7XOlcNy6dQsjRoyw8xuQS2Zmpt3zXb58ednnqomrxoWc8siJ6CxHyW3Tpg3eeecdp+1KuxpLlSplt/7GG2+gW7duLtNw7N5VgtTUC0IqVKjgcn/NmjWRmZkpO0+lXTuO8nXu3Fn0XKPRaOcXKAep50fqmrjyVdyxY4fd1BlK8hY6oUdFRenaUAhY5Wb16tWYNm0a1qxZ41LDnTRpEvLz8/lFzArhC6pUqSLrOHcTKKo1y7YjripXsQkpha07g8EgqryZTCa0bNlSMl1fOm7+888/smcMBuRf5ylTptg5XnK4+yBdvnwZP/30k8tj5HzUXN03DrUsN8LJEbVGTrk4bty44dUIqX379nmUr1YcOHDA7rmU8xx8+umnTpNVOvLaa6+5Tad69ero16+f03bHNB3zcbxujqND1XqWpcpnNpvx3HPPuTxXOHWCGJ06dUKXLl1ky+PqvZLjtyWVvifWDmFa7qykrrDZbFixYoXdCDYleQtxnBzY1wSkcrNmzRokJycjIyMDjz32mMtjQ0NDER4ebrdojRLLivDBcDeBopwJFrWw6lSrVs1u3WKxOA11FhsJ8cILL6BJkyaS6frScdNiscieZVfN2cxdsX79epf75VRMvvwYO+blqTOonG4pJbjrPlAij17KjTDfESNGoGbNmpg1axYyMzNx+/Ztfh/3fjtSuXJltwq5HGsAkxgOLUzTcRjxrFmz3Co3crDZbC6vv7vyPfvss4rzdMxfyM2bN52OkfN8SI3AvHPnjqy0/K1b1B1Sg2XUalR5SsApN6tXr0ZSUhK++OIL9OzZU29xnPDGsuIufoe7/Y55K0E4e7AjwpeQy0NY4QJAXl6e03mrVq2S9Pj3dgi2Uv766y/ZvgRqzmYOeP7BlHNeWlqaR2l7gqM8M2fOFD0uMzMTBw4ckDTxS3VVeqpklC1bFo0bN+bX3Q3Dd8Sblq5aOCrOjDG8/vrr6NKlC/bv389v5/yKHPnqq6+cFHLHOC7ehs3gJlN1HEb8+uuvO9UH9+/fl5XmwYMH7dKXQk6DQ+2h5mJ1l5xnVGwEZnp6Onbu3Gm3ruazJkxLeB21VjCWLl2KVq1a8etiVmy90FW5uXnzJo4cOYIjR44AKApod+TIEeTk5AAo6lIaOHAgf/zq1asxcOBAfPjhh2jbti3Onz+P8+fPizo66oHYCzhs2DBkZGRI3nThQ+kuwJxUzIu4uDjRvN3lJ5TblRLGnSMVm+HKlSuSPjdi24H/VQC+8h/6+OOPRZ1yxZQrqf57YUXsDqUfWE8ZOXKkzwPOcXTs2FF0e5cuXdC6dWvRj7DFYhG1WDkqx0p90YT38ejRo25lFyKsnK9cueJTfzaOvXv3yjpO6oO4fPlyl4E4Abh0YBWeI9ZQ4bDZbKJ1i6NyI9dyM2zYMLu8pfC2wWEymST9HqX47rvvnLb99ddfbs9zrFO4elPI8OHDcenSJUXyOCJ8H4TXTqhYurqX3mKxWDB8+HC7vLlwDUAxt9wcPHgQzZs3R/PmzQEUeXA3b94cU6ZMAVB0YzhFBygaMXH//n2MGjUK0dHR/KLU+UorXEWVlTNCx2w246mnnuLXHa0bZrPZziFauN/daAF3cruCe3il8rh48aKkz43Uh8ZsNmvmPySGzWYT9f8Rq1DNZrOo5WvixImSVgdHjh07xv+X24rlkPJjEMNqtYpWwkK0qmTat28v+9jc3FxkZmZi9+7douU6c+aMZCUJuLaIOnZpRUdHKykG7t69y/+fNm2aT55HR7xtxTPG3HYTyokQzhhzGuEoRG5XpPCaykUq0Gl6ejrKli3rMnAj4Po5P3XqlCqjj+bOncv/L1mypKxzpBQzYcRkpTi+D5yBwBGxBoYapKeni8YzEqK3cuM3cW58hZZxbtzFLhBbzp8/b5eGMAaIWHyAhx56SHS/3HmWEhMTFct969Ytl3nMnTuXHT9+3G6byWRib775pmS6nk5gqeTaChcu3oLjdqvVKno9XKUjJ7+rV6/y/6tWrapIVi6mSIMGDfhtUhMZcsugQYMkr49wok2li3DOmRdffNHjdLjnQOp52LVrF1u4cKHT8VLXXTh318CBA+1iwQgn8vNmUXNOHHc4vj+ePN+zZs2yu35K6yKgaCJYV3OUpaWlsUceecRlGlIzxbtb2rdvzzp06ODy+RGuc3Ngbd26le3fv58tXrxYMu179+6xNm3aqPJccEvp0qVFtzvO07R//37RuE3PPvus6PkcUnNLKZlTT6uFm2He1TG1atVS/T0pNnFu/A2z2SxpqneF0Lwo1HbdzU8i3G82m/Hee+8pzps7d/To0ZL7uVaHY2RYDrE4Q2+88QZmzpypaM4cLUdPTZo0STQatJglypUlS651TFjukJAQWedwiE0j4CqaMVAUFXrMmDGi+7zpYhG2Do8fP+5xOtz1kHoeGGN28jseJ/ascBgMBrtWP2f59RZfjuZzdNpX2uodOXIkxo8fz68/9dRTskMeCBkzZozkPfrjjz+QnJyM2rVru0zDsQtGLmXKlMG1a9dE9znK1KxZM1y5coV/Plu3bm0Xednd+WogVRcI35mkpCS0bdvWKf+UlBSsWbPGo3y9sdKrhdVqxc6dO52eW+Fwfr0tN6TcqIxjfA53fP7553Yvg9B5UAxXfdmuhl27g5suQQzhiynmyS/2EEs5m3K4mx9IDG8+0k888YRohZCbm4uMjAxkZGTw6cuJmeEOYV5K/W84pVWpaf+jjz4S3e5NbCehD5fQIVJtTp8+7bLCFntWOLKysuxk+/jjjxXl7epeK/Gz8gbHj9+qVasUne84anTt2rV49913Fcvh6h5wjQNXQVPdpeEKx9g4rjh8+DBef/11jxobWiN8Z4TDqoW0bNnSY5nE6k49GDdunJPTtTDODSk3QYbwgZXzAE6YMMHuZVi7dq3ksenp6XY+LI4+AVpFQpbzEjqOtnJ3jpgVyN3oKXe+Qa5gjIn6HNSpUweJiYlITExEzZo1kZ6eDrPZjEceecTjvLj8vMUTvwUx1Ip0quUHolatWi7fl8WLF/P/hVFUgaLJHz3FYDCgRYsWkvvfeOMNXRy2hXMYyUWuP5grXH2QuOsQERHhtE+pdVIMxpjTcGm10OLZ9WS4O4c3DSgpC7oY3ipBkyZN8up8PSHlRmWUvkTuRjhwSHncCyteOcOqT506JbrdldzuynTlyhXFXQHp6el2VqDKlSu7je/gjfImpdwIy8YY46+pUgucI8L76mmFrVYQLLUqdi1bYlFRUZg6darkfuG9++abb+yeFW/K17dvX5ejaHzVNeWuG84dR48exbfffqumSE40bNhQcgizUqd5MQoKCkQbMGpMLuzLbik5mM1mJCUlie6bM2eOpKLKuTBcvnxZVj7uYmm54++///b4XL0tN96r24QdwpdIzX5RVz4qnFIjZ3THwYMHYbFYnBQhVy+/u3JcuHBBcVmHDx/u1BWWmZmJunXrwmw2w2KxICsri18HvJtqQEq5cYS7pt6+mEKl8+LFix6lodZw8gsXLnidhslkQnx8vGZdU4wxNGvWTHL/yy+/zP93bI16EwAwLCxMcpQOoM8M4Z6glp+Ru3pg+PDhkr5d3iIWNA8oiu4uFShOLjabzecxWAwGAypVqiQ55FvqWnORpLt27eq0LyYmRlFdKxWKQy7r1q3z+Fy9lRuy3KiMVqZ7VzFuAHHLjhiMMdGWqDeWm6ioKMXmT8cW8aVLl+yc8NQeIn7hwgVZyo3BYFDlY+aN/xOnGHlj9hbizhlZDtnZ2ZpPAOvKUVV47/71r3/ZPRMNGzb0OM+CggKXyt/YsWN9EmjSlz4hrpAznPzKlSua5C2lBEgNc1bC3LlzVUlHCUOHDpWsSywWC1asWOHy/M2bNzttU9qI9DZMitLnkoL4BTFSrQ9vMZvNTvE7hD4qcj3oPfl4Cx9wMf+DSpUqYdq0aYrSlGoRi81twnUVeeP78NRTT7kcTSFk06ZNkq0OocOcK7z5WHEh7aVGjihFrQ+nlgHBGGNOIy+k4J4Jjt9++83jfL/66ivs2LFDdJ8nExgGOjNmzHC532QyuXUo9pTTp09rki4A/Pvf/9YsbSnOnDkjuc9djBh/Qan1RRjMkSw3QYaW0ZIdHfmEEX7lTmrYokULjydl4wJHidG3b19FaSqZesFqtWL+/PmKp5QQYrPZ8OWXX7o9jjGGYcOGOQWR4wgLC/NYBrmw/4a0v3HjhuZ5ySUmJgYbN27ULH0mMaeRFHKscN7iyQSGnuIvHzphEFExxo4d6yNJ3NOmTRu9RXDJpk2bJK1RaozI9AWunO3doXf5SLlRGW8n8XOF46y2wu6btm3byjLPS5n+3XVLSU29AHjm86Bkcjij0Yg5c+b4LLaDzWZTHMLfH9CyMtH62jPGJOchA/SpKH05gaG/KDeu7gEAzJ492y5Kr54Egi+UK2d0dyPiOnTooLY4ivFVKAQtIOVGZcqUKePV+VKVuMVicfINcOy++eOPP9ymf/nyZd4b/8CBA/x/d46E7rq91ByRM2jQILv1cePG+TxolVT/vFx/Az3iUPjLB9JTTp48KbnPk4B0hHIef/xxvUWQjZR1NRCIiYlx+b4++OCD2LVrlw8lUgdhrCK9LTc0/YLKDBo0yKuw1jNmzHAKw52bm8s+/PBDTcNpN2vWTHLf+fPnXYb8/vzzz9mvv/6qKD8Ox+2dOnWy2z5x4kS/CDeudFm7dq3uMgTSsnXrVnbkyBHJ/e5CvWux+BK1poygJXAWT6bHCKQlKipK9feEpl/QEW9C1APOIwY4PxdueKArvLEWuBpJwA3/lQoctXfvXo+6ccQchH/++We7GA+VK1dWFLTKX3jmmWf0FiGgOHPmjMsJL6XiM2mJLyfO9HaoMxF4sAC3tLrj/PnzugTA5FFdtfJztJ44Eypqvjk5OS4tFgMHDuT/G41G1q9fP820cG7SPLXSY4xJTgYpbNF06tSJn4BOq7LRov+yevVqduHCBcn9+/bt87lMvpw4c/369brfA1poUXvhJgFWCyXfb1JuVGTr1q2qPhhffPGFy/1Wq5X/P3bsWM3NnGp2DS1dulRRvmoqVrT432I0GtmcOXMk9585c0YXudSunKVQ2q1LCy2BsKjdOKBuKZ1QO8jZ5cuXXXY1MYFZc/78+ZqbOdV06lUyc7BjXBMi+LDZbJgwYYLkfnejeLTCV6NF5Mb4IYhAITo62mehFMQg5UZFzGYzWrdurVp6Y8aMcTlcUKjM+Ho0kbcoVcR8EdeE0BdX97h9+/Y+lOR/+GriTK0bJgTha7QMiyIHUm5UxGKxqDYfEFBU4a1atUpyf25urmp5+RqlwwT1GFpN+BZX91gv5d1XE2cSRLAhjFasB/TFUAluVNOePXtUTddVazYQglhJITYpnCvef/99jSQh/AGj0aioq9JX+GriTLLcEMGG3s80KTcq4Cp6r7e4sgQFWleUEFfDfsXwZv4gwv/ZsGEDhgwZorcYdphMJkXThHiD3h8CglAbuVMCaQUpNyogd9JKpRgMBixZskT1dP2BChUqKDre3Qy6RGATGRnpd0612dnZPp2CgSCCCa0mkZYLKTcqULduXU18Qt5//30kJCSonq4/oLezGeF/+Jv1wpcjPfyt7AThLRaLRdcgfqTcqIDZbMZ7772nerqvv/46atSooXq6/kAgd6kR6sMUzgpOEIT/o7YPqhJIuVGJli1b6i1CQEHKDSGkuCs2xb38BKE2pNyohNoB/IIdqswJIWS5IYjgIz4+Xre8SblRCT0jMQYi9CEjHCnOz0RxLjsRnERGRlKEYqL48fvvv+stAuFHFHfLTXEuOxGcREZG6po/KTcBTK9evfQWwWO+/fZbvUUg/Aj6uBNEcFGyZEld8w/RNfcgoweAiQDiAIiF3isEcBBAyn9/veXevXsqpBIcVEfRte8FoLTEMTYAVgAlUXR/7gIw/HfRA86lmqsC7rs5/j6AWwDCIP58iaVvRdFLrlcZ5XADQMjnn4O98goGAHgNQFXIk7kQwEUAlQCURdE18vae2v6bJpYvB5KSvEhJPsZz57AArp9fMdzd40IAVwFUxP+eM71Q+rwLz/On99YTlJbdX99dueUoBHDyxAngwAGgVSvtBRPBwIpZk+n69euIiIhAfn4+wsPD1Uu4fXuw3btlPYgMwHIA3sZj7dmzJ77//nsvUwl8hgBYCjJDBjIMADMYYGDMrypz1KkDaD23VHo62Isv+le5CUItBg0qaiiogJLvNyk3avDdd4DCLiIGoDW8s+AYDIZib86vDuAM5FkyCP+Gwb9aqTzLlmlnwbFYgCCNZUUQPPv3q2LBUfL9psauGvzwg+JTDADae5ltcVdsAKAuSLEJFvxSsQGA//s/7dLOytIubYLwF3bt8nmWpNyoQY8eik9hAHx/u4OPLBT1TROBjz+q6gzA5Q4dtMugbl2/LDdBqAUDgPbeNuWVQ8qNGvzrX0C7drIrKc7nRg2n4uLOWQDD8D9HNyIwYShyTvSnDz0DcALAsYce0i4TsxlXZ82i55cIShiAgn79dHEqJp8blThw4ACmtW6N11E0WkpsGJrao6WI/8GNlvoXgDISx/jbqAvhyAMG9xYobrRUGcgb5uivIy4cuQHgIwClXn8deR984NFoqQoAwqHuaKkPAXxhMiE7O1vzYGR1S5fGmDt3XD6/YsgdLVUBQKjXUnqH0uddeJ4/vbeeoLTs/vruyi0H960zvvkmer/7rmr5K/l+6zoUfPv27Zg1axYOHTqEvLw8rF+/Hr1793Z5zs8//4xx48bh999/R7Vq1fD6669jxIgRvhHYBTt27MAPAFx533QoUwZDy1fArBIhCDF4ZzSzAWA2G0qaTGBgsHmootoAWG02mIzGgDHjiZXdBuCKzYZXrl7Btzdu6C0ioZCRI0ciOTkZ9T/4AJ/pLcx/MZlMWLJkiU+irF4pUwZj7tzBGM1zIgjfwVRUbJSiq3JTUFCApk2bYvDgwXjqqafcHn/69Gn06NEDQ4cOxapVq7Br1y6MHDkSVapUkXW+lnRw0y+/qkZNNC9dGgaDP+nhwUUVAO+VqoaRle6ie/ZpvcUhFPDYY4/5nYP8iRMnUKtWLZ/kdf++3KgvBBE4pKenIzk5WZe8dVVuunfvju7du8s+fvHixahZsybmzZsHAHjggQdw8OBBzJ49W3flppWLPsUOZcqQYuMjDAYDapYsiV7lypEFJ4CwWCx48MEH9RbDjurVq/ssL1JuiGBk+PDhSEhI0GWOqUDpiQAA7NmzB127drXblpCQgIMHD0pG6y0sLMT169ftFl/TMawsKTY+xGAw4LGy5fQWg1BAtWrVRC03LVq00EGaIj799FOf5UXKDRGMWK1WnNA6CKYEAaXcnD9/HlWrVrXbVrVqVdy/fx+XLl0SPSclJQURERH8UkOHgFk/F9z0O5N7MMMYw483yWoTSERGRoq+I4cOHdJBmiJGjRoFi8Xik7xIuSGCEZPJhLi4OF3yDijlBoCTBYSrEKUsI5MmTUJ+fj6/5Obmai6jIztu3cLh27dJwfEBjDHk3L1LXVIBhj/OCu7LVqfNRoPBieCjTZs2unRJAQE2cWZUVBTOnz9vt+3ixYsICQlBpUqVRM8JDQ1FaKjegyCBF3Jz+NFSNVQcLVXCZAKK6WgpYdm50VKf0mipgERKsdF7ipGwsDDN80hPT9c8D4LQg927d+PAgQMufVK1IqCUm/j4eHz77bd22zZv3oyWLVuiRIkSOkklnx23bmHHrVt6i0EQfsfFixdRuXJlp+2dO3fG1q1bdZCoiIKCAk3Tt1gsGDp0qKZ5EISe7Nq1SxflRtfG+s2bN3HkyBEcOXIEQNFQ7yNHjiAnJwdAUZfSwIED+eNHjBiBM2fOYNy4cfjzzz/x6aefIj09HePHj9dDfDt81TdPEMHIs88+i6+++sppe8OGDXWQpghf+AtkZWX5XXccQahJex2mXgAAMB3JzMxkKAp0aLcMGjSIMcbYoEGDWMeOHe3O2bZtG2vevDkrWbIkq1WrFlu0aJGiPPPz8xkAlp+fr1Ipiti6datoWWihhRZ5i9FodNo2ZswY3eRZuHChqnWEGLm5ucxgMOh+7WmhRYuF+5arhZLvt67KjR5opdx88MEHuj9ItNASbIueys3169dVrSOkSEtL0/0600KLFovaKPl+B4oPqV9jsVjwxhtv6C0GQQQ0YiMeb+joHO6rrma9IrgSRDBDyo0KZGVl0VBOPyMqKkpvEQiFVKxY0Wkb54+nBydPntQtb0I7jEb67BUH6C6rQN26dSkCsR9hMplQqlQp1dPt0qWL6mkS/+Py5ctO2w4fPqyDJEXExsbqljehHdOnT4fJZNJbDEJjSLnRGS1esuKsaBmNRixZskST1lnt2rVVT5PwXxiNYgpK+vXrh+zsbPTv319vUQgNIeVGBfxtOOcrr7yitwi6kZKSopkPw7Zt2zRJl/BPTp8+rbcIhAYYDAaYzWbExMToLQqhIaTcqEDdunU9thRYrVaVpSnelhvOb+Pq1auqp63XBHCEPtSqVUtvEQgN4OpqPf25CO0h5UYFzGYzUlNT/cZRbd68eXqLoCuzZs3SRLkhihfVqlXTWwTCS8QaegaDARaLBZs2bdJBIsJX+MfXOAhITk72m+4gf+oiE0NLJXDjxo2YOHGiZukHO8XZ6ueIL9+j4nTdvfUzVDJXoNh1NRqNuroSCGXq0aOHLjIUB0i5UQmLxYL58+frLUZAkJqaqlna69at83vlzl8xmUxITEzULX8xpXfMmDGa5ffee++53O9vyk2TJk38xjrsDXv27PHqfCXzCNpsNqdrazAYvHIl8BahTyA5NWtH4L8pfgLFupGPlkHLGGMuK60KFSrYrZcvX15RJRcMHxcxMjMzkZ2djTZt2ugmw/vvv++0beDAgahatarbc5OSktC2bVtF+bmbk87flJt69eohNTU14Icxe/uM3bt3T/axYtfKaDTyrgR6UK5cOf5/cbLY+ZrgrKl1QM+WgCPF+YUxGo2iH0kOR1+cMmXKyPaXMhgMulWIWtOpUyeYzWZdFXSp0StyPuaxsbFOiqs73L0nv/zyi6L0vEHOO8sYQ3JyMrKzszFnzhwfSOU99evXd9rmrdJYWFgo6ziTySQaFoK71npFhhbe6+JcV2uNf3yNgwCuJeAPraqxY8fqLYJuPP/88xg/fjyaNWsm+5zk5GTRGakd6dWrV9CHytezS08siJ/cyt9gMKj+odi/f7+q6blCrnIDFNU1/fr184sPY8mSJV3u//vvv73OIyQkRPE5nCVS7H3VuxFKyo1vIOVGRbhW1WeffaarHL76QPlj6/Hhhx8GABQUFCg6LzIy0u0xxcGXZ+/evbrlXalSJadtSip/pR8Kd8e3bNlSUXreIEd2oVXNbDZj6dKlun8c3SkKarwznqTBWSLF0Pua/fbbb/z/K1eu6CjJ/66FPzTK1YaUG5Uxm82K+v7FKnRvuXTpkuppitGvXz/dW0FiWCwWZGVlie4rX768x+nqNYmjr66xxWKRZcHSAqPRiPj4eKfteio3Sqx/3iKnO9DxI5+cnKz7cGZ3iofUUGwl90rtRoXeddbmzZv5/xcuXNBNDpPJhH379vFWLqWsWbNGfaFUxP++TEGAlhWyHMQmINQCf+qKEyKl2ABFPjZiyKlAxbpNtMZkMmHv3r3o1asXv02rylmv4bFGoxGpqamSLW05qNEt9eOPP2Lu3Ln89fXVtbBYLLh//77b48QUoCpVqmghEgAgIyOD/y81r5o7uR977DGn+/L+++8jJyfHY7m8VWL1ttwInyuhFUcMb94JV3DT1LRq1cqllcsV7dq1011RdIX/SlZMcOf5765PWwyhN77WcF1x/oQr5245LeRWrVqJbv/tt99gsVi8kk0JBoOBr4CqV6/Obz9z5ozqeVksFt0mgP3yyy8lfZl82VBo2bIlXn31VZ8rN66UcSFi8mgR4ZyjX79+/P8nnnhC9Bh3+YtFeZ40aZLdujtLt/CdHTBgALp16+byeFfnA8Dq1asVna8l69evd7lfq/pGjYEDeo44kwMpNxqgpJLNz893ud8T5cbVg7to0SLVTdlatS48gTHm0qLk+IG4ffu2UwVy8OBBybR9OQWDlOOhp9fblYUtJiYGmzZtwpNPPulR2p4i1R3FIfYuSZXDW+WGO5/79ZVyI1epFJNHaDmRW36h4v/ggw/KOuenn36SdZwj586dc5LbarXaxQRT4udVq1YtSeurGBaLxak+HD9+vE8bKf7K8OHDvboOFosFycnJfhvJm5QbDdDb7OlKYfrXv/6Fjh07qppfenq6qul5AzfUW8qidOvWLafja9asie+++47fJvVRMxgMiIuLU09YN9hsNr4C8tb8azAYkJKS4javOnXqeJWPUt5//323yprj+5SdnY3HHnvM6Ri1LFq+Vm7MZjPvCO8KsUaL0HIyevRoWfkJ39eaNWtKHjd79mz+/7fffit6jLvn8vvvv3e6f0aj0ePBCErrVjGrmNVqDZh54rT8lnh7HbhzS5UqpZZIqkLKjQao+UB6UsF+8skn/H/HVq7ZbFZVPovFgmHDhqmWnre8+eabLpUtMadgxhg++OADfl2qwm7atKnPrVRcBeTtPVuzZo3b0T9Wq1VzZ3TueTQajfjggw/cBtITK7fZbHYK7Jefn+/1RIh6WW4A8Xgwjriz3Ai7U/fv34/OnTuLpiMcxOAqZsyECRPcyvTBBx/Ieja5+24ymTBu3DiPu0WUvgdiXdQmk0mzRsro0aORmZmJunXrqpLea6+9puh4JY0gb68Dd66rofp6WshIudEANZUHJaHGOYSVoGOI+fT0dFXl87fIzIwx3toh15cBsG8VS/Uj16hRw2v5lMJVQN7cM5PJhPj4eLeBJk0mk+bO6K+//joyMzNx5swZWR9PqXI7fug9cfaeNWuWaF56KDdyEHvPhBaVQYMG8f+jo6MlwxsIy3Xnzh2vZHr++ecxcuRIl8cwxrB69Wp+VM4rr7zi9BwajUbZgTTlvAtcA0dsUuO5c+dq1kj5+OOPcfLkSYSFhamSnti1EmPixInIzMzEhg0bnPbVrFlT1Hq2ZMkSr64Dd64r5SYmJkY3yz4pNxqgpvLgSQArIY6TSHrbz+qIP0Vm5uCsHUpaT8IyCJ1bhcqlrz92XIRVpda2Bg0a8OURpiHmACiMc7FkyRKULVtWvQKI8MEHHyAuLk52pSo2VNZisTjdi8qVKyt+Dl9//XW7dX9XbhzlsVgsdt07QuUnJiYGp06dcpuOGoMP7t6963I/p1xzo3IcfeJMJhNSU1Nljbw0GAyy7ouwnktOTkZmZia/T6gEeoPYO8l177q7Jhzunlm5I1JnzJiBTp06ITo62mlf5cqVkZOTg4yMDCxatAgZGRk4c+aM4oCkUnXQ9evXJc8Rdq37Gv/6KhEAiloWHN5WsI6tPavVin379nmVJofFYhFtGWmFEodJJR9Qo9Ho9KETy9PXcw2lpKTwFZAS5SYuLg5nzpwRjdIq/L9ixQrk5OTYHad1GZX283ft2tUpIGNMTIxTGhEREV6P3Ag05caV1dRms0k6xgvPkWthcPVxrVy5ssvzxCwEnE+c8NkTbpPixo0bOH36tN02sXfD8TkTdmO6q6siIiJkvW8JCQmiaVmtVlHlRtgly/H++++7lUfOiFTHZ9cRLqr1iBEj0K9fP9UsVxaLxa3iopePEyk3OuDqxTEYDHb96GrHVjGZTJKVttRLJiUvZ3JMTk72OLKtnEkROeRGjJX7UcrIyOBbMf/617/cpuVJ95vRaMSiRYsUn8cYw6RJk/iKQ4lyw00M6C5+RaVKlZyOk1tGo9GI8ePHY//+/XjxxRdly6a0n99ms+HatWtO28Q+3GpNjaGHciMnL8d7485qKpWmcLsrpcVkMuGDDz5wGeTNYDAgIiLCaXuJEiVcToEAQPQZ5bZJMXv2bKc5vxhjou+HlHLn7l2KiIiQ1QBs0qQJ9u7dK+rTI+Zkyyluffr04bdNnDjR7ez0gP0ISU5+Yb7cNndDy71B7HmS0/WvpY+TK0i50QB3FZXjfuHL1rx5c6euJKVIvbxcK6p9+/ai+6QUFKnyCE2ON2/e9EhWJd1ucl8QuUO24+PjRVsxUi0RpcoNZ24fMWKE6AfAHcIWj69mLndXRqPRyCuEs2bNQqtWrSTjAonx3nvvSSpcSvrmxd4hb03f7lq/euNYZnddFnL8lYTPivCDHBcXh+zsbEyYMAGdOnVyGT5CLJ+SJUt6HBzOEx555BGnbW+88Qb/TEiVWQyDwSD7mW7VqpVTF9uSJUtEQ3iYzWbExcXZKSA2m80u7k/Pnj3d5tmpUydkZmbapcM9/9OmTXM6Xm4XmSfI8ePz1rfHU0i50QAlLxJgXzlUqlTJawddMWVk7ty5fCtKzDF2yZIlov21jvI5IvRv0bprSq4i5KqlICyL0NlNOBRcODu18Fpy/+V8/BxbrcLYHGKzFItdO2E5lFpu5CD2nLhSzLlZ0b0xaztaYTiUjroTux5KHMgB8fsg/PW3bqnbt287bRN25cyaNcvuIytl6RTWL0LFSPi/XLly/D32txGRYuzYscNpm1R3iLt3yXH/kCFDXB4v1sUmlYdYV6JwOL9UHSykdOnS6NSpk53V22AwSHZTyp1F3RPcuSWsXr1at8mGSbnRAOED9uOPP7r92DhWNu6OF4v6KcTxxTKZTHj66af5ykrsxUtOTpb8ODRt2lQyL+4D7NiKdFUGT1vYcqd5kLIOCMPJA/+zPB04cMBuKLjwfgi7CJV87BxbrcJr7tja/ve//40zZ87YRYF1bPEIzxfGHxFD7CMoF6kPHwC8/PLLXldUM2fOFL3/UhWz0WhEhQoV7LaZTCa0aNHC6VhvFWx/V2727t0rat3iunLGjx9v95GtXbu2aDpSjS+pa+fKt+fcuXNu8/AFNpvN5ZBvoTxKlRup6yhETjcwFwVcTE6Ov/76y26fK2umY5mknn85cWhc5SNUmIUIHbaluudcBejUGlJuNEBYEbRu3dqtt7vwZdq4cSMGDBgg+UABkDWixdFMKqelLZXur7/+KpmHMG1hC8ZViHOhZUQJci03Ui3WypUri0ZL3blzp6KJC73ttkhOTsbhw4f59T59+sBsNuPpp5/mt+3Zs8dOkRDOQeNuCPWGDRtkdfGIfYCE18HRz8JRyeBQOgninj17nLZLVcxffvmlndMr9+F2VPANBoPicPCO91xP5UZuXu5Gnsj5yEr53Aivv/AYV0pjy5YtRSdQvHXrlk+HAJtMJrz//vuy6j053VJawEUBF+vG4ti1a5fdOXJHGnHP/zvvvOO0z12Ue3eWOaHCLERo+ZbqntMzej0pNxogrDSNRiOSk5PtKnTHl8exYlu1ahX27NmDzMxMUWczd/NROcaVkNPaduU3I1bxOo7m4eAqV1eTqnna7SbHcuOqS0qq1fTwww/LavFzcivtdhRDOFcU9zz8+OOP/La2bdvyFYfFYlE8ZYanwy+FZXOsmLSa9oDLS6wR4Gg15D7cUsqAEsuSu/L4m+UGUGfkyT///MP/l2O5ceXbY7PZnBx8OTx9Bt0pRWKW6SVLljhZrqSehbNnzyqWSY4c7uAsxQkJCZJyijW+pO63MH/uOicmJiqSCXAfq0zKydtms2HYsGF2Fhw5199XkHKjAcIHJS8vDwDs5t9wV2larVYUFBQgLi5O1Ln4+PHjLs93jCshh5o1a+LgwYOiFZzYNsfRPI5oMamalAWJw11rQSy+BjcxpZxYEmIVgNxZ0d2NkLNYLFi1apVdXsJghEo/tHI+gsKPnDBfKdTwqTIYDJKmaq5yXLlypdt0XDnlu0KqxSyWhj8qN2qMPBkzZgz/X9iF6er+cvdGyaSVnihiFosFQ4cOldxvMpnw0EMP8euOH1Ipy9XatWv5/3Xq1HGpQDm+A548B1LPI3dNpOQUU9yk7vc333zD/+esKJ68o3K7c3fv3u20zWaz2TXc5VgOfQUpNxogfJHq1q3rFBXY3YPEPdCeRv8dO3as275fRzhlRWjaBYpaAlIOY+4qr+TkZFXnHXE33NyxteBYgXHD1sVaF64cMznEuqWkYlC4a7E6VmJSjoacs7bSVqJUpSi8Ji+++KLTNRJW5I77hF1pQtzJJnx2PvzwQ5fPptlsRrt27dym7aniYbPZ+Ba+Y8vSX31u1Db1C8sl7FKSE1CuUaNGsvPxRBFzpchzgyJiY2P5bXI+pI6jiLiGg5TvWnZ2tmZdau6uSZs2bWTdb4vFYmfV58p0/vx5xTLJDRQYaJByozIWiwVTp07l17mHTuh4l5KSYvcADxo0SPSB9sRB0mg04pVXXnF5jJTjsNVqRcuWLe0+1u3bt3fpMObqRbVYLKLh3X3xEon1I3OWEKnWhZRjJodUqHqxyscx7LjjR9pxxm9Xc+CYzWb06NHDbrurPnKpStHxmginquAQKliOeaxfv15Uabty5YqkLFw+HM8995zLYwHn+B3C0SRiaSqBMWYXJFOIv/rcKO1i9hQ5dU14eLjdumP9JdzuiSImpcg7DopQglTDwVXIjeHDh/P/ve12VaKcckPwXd1vqZFRVqtVMiq1O7hGmqu53tq1aydaj+npNOwKUm5URuqhE85Y3L9/f7sHePny5aIPtNLov1xcFXcVgNS0BMKPKQeXtycOY1JKlCtnY28QKhSuLCFy4BQdoa/Lvn37ZM/NpSTsuNAZVur6Nm/enD8+Ozsbb731luhzMXHiRMlKUc41Ee4XM8+LXb+LFy+6LJ9SJUFYrv/85z981y7wP2uSp91SgPRzwPli+JvlRmkXs6cobUiJ1V/79+/3ShEzm81YunSpk6XbG4uVWMPBaDS6tIqLKdSeosQPxWazue3auX37tmRjyNtnRGy2dq4O4+4Nl6/RaMTSpUv9ogtKFFbMyM/PZwBYfn6+Junn5uYyo9HIAPCLyWRiBw8e5Ndzc3MVpzl+/HhmMpns0nVclKTreK7RaGRpaWlO+xcvXuwkS2Zmpqy8pK5Fbm4uv169enWXZVK6cOm7ylvJdRdLQ7hN6npyS2ZmJmOMMbPZbHfOtWvX+PVjx465vb5vvfWWU55paWlOz4TjfZR7PzhGjhxpl5bwWIPBIHr9+vXrJ/v+nD9/3u11z8nJkZSBk/fJJ5+02/7+++9L3gtXZRa7dpUrV3a6L1ozePBgu+sslMtTEhMTncrt6t4I38VmzZqJpjljxgyv5ZJDbm4uy8jIYBkZGU7PnPB5k4vwXTGZTOyDDz5wei6krtU777wjeszEiRMl82vVqpWiepk79sknn5SUX5h3WlqaU5nS0tLs7g+3NGnSRNY12rp1q8s6jEPJN0BtlHy/SbnRALGHLi8vj39Yzp4961G63EP14IMPij6ESuDOGT9+vGgFwu1funSpR7JyiF0LYfrulJtZs2bJ/nA6voxSectF6mWXq9wIP6I1atSwq+y45xAA++2339zKMnXqVNH7vH//fqePoSslzt01GTFihOS1f/bZZ53Sy83Ndcrf1SJHubFYLG7v7xNPPGG3zZVyI1VmoZItvHYVK1ZkANjRo0fdyqoWQuWmT58+bPLkyR6910IclRtOYZC6X8JntGnTpqJp+kq5ccXTTz/tkQyOH2WxxoHwGeHW3377bdHr5Uq5qVWrll194aruEVNcHOWWUtCFZRI7TipNqesjdv7+/ftlXmHtCSjl5uOPP2a1atVioaGh7KGHHmLbt293efyqVatYkyZNWOnSpVlUVBRLSkpily5dkp2fL5QbxpxfJKFyk5eX51XaNWvWFH2AlcCd83//938u93/66adeycqYuKbPpe9OuREe26FDB5etLbEPuzetDKlKRVghOpbHsYLkqFChgl1l99FHH/Hrv//+u1tZpk2bJnqf5ba2HMsldU06duxoJ6cwzbffftvpeKn8hYswHTnP/rlz5yRl4O5vr1697LZ/8MEH/Pliz5BYmaVkL1++PAPAfv31V7eyqkVSUhKf/wsvvMC++OILr5UIR+WGw1HZ4/bHxMQEtXIjhqOCK3xGPFVupJRmsfdNjjVV7jvu6l2Ua7VWag32NUq+34p9bt566y3R/sj8/Hz0799fUVpr1qzBq6++ismTJ+Pw4cPo0KEDunfvjpycHNHjd+7ciYEDByI5ORm///47/vOf/+DAgQOKJu7zFY79pkpGS7nCYrEgNzfXa/k43PkqqOH8683wQKHPSqtWrex8lxwR8wPyJm8pPxhX18xsNjv1r1ssFly9epU/xmaz4dVXX+XX5fiLSB3jyhHZlYxi18RisWD79u12cgqZMmWK0ygSV07v3OSawiH8TIYfizC9d999124fd3/lpCNErMxizqsGg4EPFqk0D7XQem4rxxGDHFpPn+KPOL4Djj6HgPT9cDXFgiNSfl5y/ODkvuOu3kW5/oZcTDZh2ZT4D/oTip/mlStXon379jh58iS/bdu2bWjcuLHbadkdmTNnDpKTk/Hiiy/igQcewLx581CjRg3JWZT37t2LWrVqYcyYMYiNjcXDDz+M4cOHS87+6q94U4l4EvPEFe4qUqm5gHyVv/CFZIxJKilajSZRMm8MUDQbsuNHVKqy4/BGuTGbzXZTR3jjfOnu2WIio6vEFEBuJmluck1hwEI5CN+PxMREu/D33P3VSvEwGAy6OxT7YuJOMWUvUJQbLa+P4yhHV0jF3VLS4JBzrLvBBo7HuZunzh03b95UFEzQX1H8NB89ehS1atVCs2bNsHTpUkyYMAFdu3ZFUlISdu7cKTudu3fv4tChQ+jatavd9q5du4oGCwKKhqJZLBb88MMPYIzhwoULWLt2rcuZVAsLC3H9+nW7RQ+E2rk3L6faE1SKDeMVvtyvvvqqpmHU3X1A5L6QWo4mcfwQuJJZ7N66m0/GG+UGAAYNGsT/37x5s8cKnpxnS6ySc1QAuZmkPb0fjtMAiMVKcrwHnrxTYsqczWbjFc9gVm7ECBTlRk0crRFKrBQbN24UPU6uMqLkWLnRf5OTk3HmzBmMHz/e4/hInliD/RHFT3NERAS+/PJLjBkzBsOHD8f8+fOxYcMGzJgxQ1EXxqVLl2C1Wu1mNgWAqlWrSgYiateuHT7//HMkJiaiZMmSiIqKQvny5fHRRx9J5pOSkoKIiAh+EZsR2xcIK0pvKhE1Iv8KlZWkpCS7dTmxUHyJ3w4zlEDswyRWgS1YsMDlOXLS5ShRogT/v3LlykrEdSmnkhagmpFJHZUbsXpFDcVDqhLnrqdeyo1eFEflRk4XUn5+vui5TCI0AqBsKgK5x8p9x8xmM2bNmuXxVAhKlDN/xqOn+aOPPsLcuXPRv39/1K5dG2PGjHEbGl8KsZDnUhX5H3/8gTFjxmDKlCk4dOgQNm7ciNOnT2PEiBGS6U+aNAn5+fn8oqa/ihKEFaVeLTPAvfLibXwYNRB+zByVKikly5fKl7upFMRwrMCE1hY5z4OrD49wYjzhLOaeIJTT0b/J00pOWD458/oIy2qz2TRTbtz5VHkS7dVT/KF+KI7KjVjML5PJZOfqIBXJGIBLlwglCr8W0xZ4k6a/zRPlCYqf5u7du2P69OlYuXIlPv/8cxw+fBiPPPII2rZta9f3747KlSvDZDI5VSAXL150suZwpKSkoH379pgwYQKaNGmChIQEfPLJJ/j000/tAn0JCQ0NRXh4uN2iB2pZbtzN4OoOd8qLr02SBQUFLvcLZxBnjEkGBvSX/mB3zsZcZaP0AybXciOMhO0pYpViUlKSx5XcZ599xv9v06aN225OTyw3nioEYs61XJ3Uq1cvn85szUHKje8Qmxw2JSXFLnqxK0X6jTfeCDhHW7n40zxRnqD4ab5//z6OHj2Kp59+GgBQunRpLFq0CGvXrpUMay5GyZIl0aJFC2zZssVu+5YtW+zmlhFy69YtSd8Ffzchq+Vz4+l8UxzulBdfmyTFHJaFzraOZZXyCwkLC1NdNik8sdy4Os7bbqnly5fz/3v37q3aB1mYzooVKxTPTA4UKePCkWFyfBrkKDeO5+/bt0+xbBzCWY+FDQc9R4nooeAI3zt/r0+14LHHHkN2djZatmwpu44NREfb4oJi5WbLli12M1xz9OzZE8eOHVOU1rhx45CWloZPP/0Uf/75J8aOHYucnBy+m2nSpEkYOHAgf3yvXr2wbt06LFq0CKdOncKuXbswZswYtG7dWlQmf0Its7O3DsVylBd/NUneuHFDcpK3tm3b6tLKdsSTbiG53VI1q9RD58ZP4UL2/3wALBaL3Tw4an2Q1fK98qSb05VyY7FYYLFY8Pvvv9uds3btWlgsFq+eAX/okgWKGnG+Qni9/vrrL5/l649ERUUpntMvEB1tiw3eBNRRg48//pjFxMSwkiVLsoceeoj9/PPP/L5Bgwaxjh072h2/YMEC9uCDD7LSpUuz6Oho9vzzzzOLxSI7P18F8XPk9OnTfFCk48ePe5WWVGRNJegZQpsx6ekKXC0Gg4EPJqU0Mq+ahIaG2l1zdxFGxbh9+zZ//MmTJ90eP298Bvto2I9s4fCf2MLhP7Ety4oC/3kSxE8OaqXryTQYd+7c4Y/9/fffWVxcnF1AsfHjx4vKlpGRIRrkUe4zocaUHZ4SHx9v95wPGzbM60B1UkH8OFxFtJUK2e8PQfw8mX7BFVxazz//PL9Nqo51fDb8JbhdcUHTCMUGg4EZjUbJxd/RS7lJSUlRNeIjp5wIK8VAgpO5fPnybqMOi31stPqoy0Go3Hj6Qbx16xZ//K5du1wee/70NfbR8P8pNtxy/vQ1zT7IaqardBqMu3fv8nmuXr3a6R5zdY2j4rtmzRqvnwmhouqryKxiU1gIy+fpvXSn3LiKaOvPEYqfeeYZTZSb5557zm47N12F47NmNBpFp6whtEfTCMXr16/HunXr+GXNmjV44403EB0d7fUQ5WDFYrFg8uTJ/LoaXQecn0BoaKgaIupG2bJlsXfvXtFZe6dMmeJ0PNdN4C+xGHbv3u1RV4bQT6ZDhw4uu1POnciHAc5dV3kn8jXzkVIzXaXdnMJr89xzzzntt9lsGDdunN3979evH9q1ayfanaDkmUhOTuaDDn799dc+6ZKVirfDoSSwnBJcdb8UFhaqnl+gYTab0a9fP6f3IDU1Ff369QtYR9tig1oa1eeff86eeOIJtZLTDD0sN1paGR555BHdW1KewMlsNpsZY+Kte3fWA28nxvSUkJAQO4uB0u4xpVYRV5YbYZpadDP6uvvSVVeJ47USzr80Z84cxph4d4JSuEkP9+zZo3bxRJEz+agnVjN3lhvG7K+Xowxi75M/WG606pZytNwI0bsbnyhCU8uNFG3atMGPP/6oVnJBhZZWBhbgoxo4+cVa9+6sB3o4PlssFjunYU5+JRYOpY6rVWtFgEVctbvX9dtGoWqtCH5dq2Gbvh4OKjUakHt/hNc3MjLS6TjumRCi1ELq65FKZrMZbdq04dfFrClaOTZz1ysjI8Op3IEwn5Cv5Av0YdHFkRA1Erl9+zY++ugjuvEScB/p4cOHw2q1qjq8OtCVGyFms1k07HhCQgJOnDghOqmd2DlaIhZnhzGG1atXo0qVKqIyOsIpu8KPuDtll1U/h9nLJqN21Ub48ttP7RSbYELq2uzZswcFBQWyrq/j/piYGKSmpipWfn35btWtWxd79+7FiBEjMGTIELRt21bR8+ENZrMZlStXllS4/a1eP336NP/f03tLBD+KLTcVKlRAxYoV+aVChQooV64cPv30U8yaNUsLGYMCrawM3sS8CRT8qdUkZYWLj49XFI1UqT+L0WhEzj9/Y9tv64JWsQGkr02rVq1cXl+h1cGb+YKEaenRcKhTpw5atWqlir+To/yuyu8vPmzusFgsOHToEL8eqDNWE9qj2HIzd+5cu4rEaDSiSpUqaNOmDSpUqKCqcMGGFlaGQLfc6DkVhSeoZYVzZ5FyJNCukzfIvTZS18TVfEFy7pM/XGulz4ccXFk5tLQuq4mY87VaFqZAr0sJexQrN0lJSRqIQXiK8IW0WCx+VxkFI2p9eJQou/7wwfUl3jQEPOn2E8OXHzsuL+F99rYxdPv2bbt1zsqRkJAgmq4WCpXaqHVvxSDlJriQpdwcPXpUdoJNmjTxWBhCORcuXOD/B2L/c6BWKL729Sluyo1SHJUCb6wQwXKtb9y44bTNnZXD18+1UrS0MPkyMjShPbKUm2bNmsFgMLj9EBkMBrv5SQhtsVgsdiND3LXMiMAlWD64vkINK0SgKt4cZcuWddrmj340SlHTwiSMH/TNN98gPT09oBqHhDSylBuhdzrhP2jZ/+wr6KMtD7pOzribfNRTK4SeDsVqUqZMGbt1f/Wj8QQ1LEyO86cBoMZhECFLuYmJidFaDsIDtOx/JvwLbyZLJZShhyIp5nOjJhs3bkTDhg1V/WgHuo+fq3hTgVwuogjZNeYjjzyCa9eu8evffPONk8Ma4Vu0Cr3vSzyZRbs4QpYb3xPolhshHTt2VKVeEA7D1mpaCF8RKMPfCc+Qrdzs3LkTd+/e5ddfeOEF5OXlaSIUIR89ovR6i7BCPH/+fEBXkL6ClBvXqHl9gqVbSm0sFgu++eYbfj3QY8wEQ+OQkMbjCMX04vsP/j7CQQj1c3sGdUs5o5XCR4qkOMHg4+dIIAx/JzxDlekXCEIu1M/tGY4ReOlaaY8eDTh/VtiC1ccvkBqHhHwUKTebNm1CRERR6HebzYaffvoJv/32m90xTzzxhHrSEUFHsFaQWrN9+3b+fyDGM9IaLbqlfEkgWMIDJYoxQQAKlZtBgwbZrQ8fPtxuneLcEO6gClI5FosFy5cv59cpnpG2kM+NNNSNQwQKspWb4jBBI+EbqIJURjD6OqiB1haWYFJu1LxW1I1DBALkc0PoAlWQ8qGuPPcEereUP+RNEMEEDcEgCD+Hhqzqgx4TZxIEoQ5kuSGIAIC68pzRemRRMCkcZBEiihuk3BBEgEBdedIES7cUQRDqQN1SBEEQIgST5YYgihseKTfXrl1DWloaJk2ahCtXrgAAfvnlF5w9e1ZV4QiCIHxNME6cSdYoorihuFvq6NGjeOyxxxAREYHs7GwMHToUFStWxPr163HmzBmsXLlSCzkJgiDsEH6waW4pgiCEKLbcjBs3DklJScjKykKpUqX47d27d7eLokoQBBHIkHJDEIGLYuXmwIEDTpGJAaB69eo4f/68KkIRBEHoRTB24QRjmQjCFYqVm1KlSuH69etO248fP44qVaqoIhRBEIQSAr1bSmufG4IobihWbp588knMmDED9+7dA1D0Mubk5OCNN97AU089pbqABEEQYtD0CwRBSKFYuZk9ezb++ecfREZG4vbt2+jYsSPi4uJQrlw5vPvuu1rISBAE4TOC0XoSjGUiCFcoHi0VHh6OnTt3YuvWrfjll19gs9nw0EMP4bHHHtNCPoIgCLdo8fEmyw1BBC6KlZvs7GzUqlULXbp0QZcuXbSQiSAIQjfI54YgAh/F3VK1a9fGww8/jCVLlvAB/AiCIHwNBbyTTzCWiSBcoVi5OXjwIOLj4/HOO++gWrVqePLJJ/Gf//wHhYWFWshHEAThFuqWIghCiGLl5qGHHsKsWbOQk5ODDRs2IDIyEsOHD0dkZCSGDBmiWIBPPvkEsbGxKFWqFFq0aIEdO3a4PL6wsBCTJ09GTEwMQkNDUadOHXz66aeK8yUIghCDrBwEEfh4PHGmwWBA586dsXTpUvz444+oXbs2VqxYoSiNNWvW4NVXX8XkyZNx+PBhdOjQAd27d0dOTo7kOc888wx++uknpKen4/jx41i9ejUaNGjgaTEIgggCAj3OjWPegZIuQfgrih2KOXJzc7F69Wp88cUXOHbsGOLj47Fw4UJFacyZMwfJycl48cUXAQDz5s3Dpk2bsGjRIqSkpDgdv3HjRvz88884deoUKlasCACoVauWp0UgCCKACaY4N9QFRhDqothyk5qaio4dOyI2NhYrVqzAM888g5MnT2Lnzp146aWXZKdz9+5dHDp0CF27drXb3rVrV+zevVv0nG+++QYtW7bEBx98gOrVq6NevXoYP348bt++LZlPYWEhrl+/brcQBEFIQVYOggh8FFtu3n77bTz77LOYP38+mjVr5nHGly5dgtVqRdWqVe22V61aVXKOqlOnTmHnzp0oVaoU1q9fj0uXLmHkyJG4cuWKpN9NSkoKpk+f7rGcBEH4P8HSLUUQhDooVm5ycnI0qUg4GGOS6dtsNhgMBnz++eeIiIgAUNS19fTTT+Pjjz9G6dKlnc6ZNGkSxo0bx69fv34dNWrUUE1+giD0IZi6pTjIakQQ6iBLuTl69CgaNWoEo9GIY8eOuTy2SZMmsjKuXLkyTCaTk5Xm4sWLTtYcjujoaFSvXp1XbADggQceAGMMFosFdevWdTonNDQUoaGhsmQiCILQQ8EgKxFBqIss5aZZs2Y4f/48IiMj0axZMxgMBruXkVs3GAywWq2yMi5ZsiRatGiBLVu2oE+fPvz2LVu24MknnxQ9p3379vjPf/6DmzdvomzZsgCAv//+G0ajEWazWVa+BEEEHxTnhiAIIbKUm9OnT6NKlSr8f7UYN24cBgwYgJYtWyI+Ph6pqanIycnBiBEjABR1KZ09exYrV64EADz33HN4++23MXjwYEyfPh2XLl3ChAkTMGTIENEuKYIgCKVQ1xBBBD6ylJuYmBj+/5kzZ9CuXTuEhNifev/+fezevdvuWHckJibi8uXLmDFjBvLy8tCoUSP88MMPfBp5eXl2MW/Kli2LLVu2YPTo0WjZsiUqVaqEZ555Bu+8847sPAmCCA60jglDPjcEEbgodiju3Lkz8vLyEBkZabc9Pz8fnTt3lt0txTFy5EiMHDlSdN/y5cudtjVo0ABbtmxRlAdBEMFNoHdLURcYQaiL4jg3UqOZLl++jLCwMFWEIgiC0AuynhBE4CPbctO3b18ARS9+UlKS3Qgkq9WKo0ePol27dupLSBAE4UMozg1BBD6ylRtu+DVjDOXKlbNz4C1ZsiTatm2LoUOHqi8hQRCECEILS6B3S3GQ1Ygg1EG2crNs2TIARXM5jR8/nrqgCIIISijODUEEPoodiqdOnaqFHARBEH4BdUsRRODj0azga9euRUZGBnJycnD37l27fb/88osqghEEQcglWLqlCIJQB8WjpRYsWIDBgwcjMjIShw8fRuvWrVGpUiWcOnUK3bt310JGgiAIJ7SOc6MHauZNyhlRnFGs3HzyySdITU3FwoULUbJkSbz++uvYsmULxowZg/z8fC1kJAiC8DkU54YgAhfFyk1OTg4/5Lt06dK4ceMGAGDAgAFYvXq1utIRBEHIQE2LR7CMWAqWchCEJyhWbqKionD58mUARdMy7N27F0DRnFPU+iAIwlcE4/QLahLo8hOENyhWbrp06YJvv/0WAJCcnIyxY8fi8ccfR2Jiot3s3gRBEIFMMCkHFotFbxEIwqcoHi2VmpoKm80GABgxYgQqVqyInTt3olevXvxs3gRBEL4kWLql1Mz79OnT/P+YmBikpqYiOTlZtfQJwp9RrNwYjUYYjf8z+DzzzDN45plnVBWKIAhCL/TollI7L4vFgoMHD/LrNpsNw4cPR0JCAsxms6p5EYQ/Iku5OXr0qOwEmzRp4rEwBEEQcgnG6RfUIisry2mb1WrFiRMnSLkhigWylJtmzZrBYDC4fdkNBgOsVqsqghEEQehBMIwyqlu3rtM2k8mEuLg4HaQhCN8jS7kR9t0SBEEEM3qOllJLsTKbzWjatCl+/fVXAEWKzZIlS8hqQxQbZCk3MTExWstBEAThMYFubdFCkapRowav3GRnZ5NiQxQrFA8FB4DPPvsM7du3R7Vq1XDmzBkAwLx58/B///d/qgpHEAQhBcW5cQ03qhUAKTZEsUOxcrNo0SKMGzcOPXr0wLVr13gfm/Lly2PevHlqy0cQBKELga7ckP8jUZxRrNx89NFHWLp0KSZPngyTycRvb9myJY4dO6aqcARBEHKgODfOkHJDFGcUKzenT59G8+bNnbaHhoaioKBAFaEIgiD0Ihji3AD23VIEUdxQrNzExsbiyJEjTts3bNiABx98UA2ZCIIg3KK1hYW6pQgicFEcoXjChAkYNWoU7ty5A8YY9u/fj9WrVyMlJQVpaWlayEgQBOGSYOmWUhNSbojijGLlZvDgwbh//z5ef/113Lp1C8899xyqV6+O+fPn49lnn9VCRoIgCJ8RDHFugKJuqbAmYQhvEo5tOdvQqWYn1dImCH9HsXIDAEOHDsXQoUNx6dIl2Gw2REZGAgDOnj2L6tWrqyogQRCEGMFiYQG0UaRu9rqJWlG1YDAYMDpzNJpWaYpVPVapng9B+CMexbnhqFy5MiIjI3H+/HmMHj2aQnsTBKELWnRLBbLPzbacbbBF2eyuy6///IptOdv0E4ogfIhs5ebatWt4/vnnUaVKFVSrVg0LFiyAzWbDlClTULt2bezduxeffvqplrISBEFoTjAoNzvP7gRE9L1d53b5XhiC0AHZ3VJvvvkmtm/fjkGDBmHjxo0YO3YsNm7ciDt37mDDhg3o2LGjlnISBEEEPWpZoB6u/jDWHF/jpOC0r9ZelfQJwt+Rbbn5/vvvsWzZMsyePRvffPMNGGOoV68etm7dSooNQRA+R6gIBHq3lNp5darZCThnn27TKk3JqZgoNsi23Jw7d46PY1O7dm2UKlUKL774omaCEQRB6Ekgd0sBwJWPryC/cj7Cm4Tj5rGbeHX0q3qLRBA+Q7blxmazoUSJEvy6yWRCWFiYJkIRBEEo4fLly6qlFQyjsCwWC86dO4eCowXIW5WHG7/ewPDhw2GxWPQWjSB8gmzLDWMMSUlJCA0NBQDcuXMHI0aMcFJw1q1bp66EBEEQIqxfv57/P3r0aJQqVQrJyclepxsMcW6ysrKctlmtVpw4cYJmCCeKBbKVm0GDBtmtv/DCC6oLQxAEIQeLxYJ33nmHX2eMYfjw4UhISFDt4x3I3VJ169Z12mYymShcB1FskK3cLFu2TEs5CIIgZJOVleU0MaRalgk9uqXUVqTMZjNCQ0NRWFgIoEixWbJkCVltiGKDRxGKiwNWqxX37t3TWwzCBSVKlIDJZNJbDEIH6tatC4PBYKcUGAwGVSwTwRDnBgDu3r3L/6cZwonihu7KzSeffIJZs2YhLy8PDRs2xLx589ChQwe35+3atQsdO3ZEo0aNRGcp9xTGGM6fP49r166pliahHeXLl0dUVFRQOIES3hEMz4BaZbBYLHbKmRbddgThz+iq3KxZswavvvoqPvnkE7Rv3x5LlixB9+7d8ccff6BmzZqS5+Xn52PgwIF49NFHceHCBVVl4hSbyMhIlClTJigqzGCEMYZbt27h4sWLAIDo6GidJSJ8SVZWlpNlxWazqdotFciWG3IoJoo7uio3c+bMQXJyMh8vZ968edi0aRMWLVqElJQUyfOGDx+O5557DiaTCV9//bXLPAoLC/l+ZwC4fv265LFWq5VXbCpVqqSsMITPKV26NADg4sWLiIyMpC6qYkTdunVhNBrtulvUcpgNhiB+Wl4fgggEvJo40xvu3r2LQ4cOoWvXrnbbu3btit27d0uet2zZMpw8eRJTp06VlU9KSgoiIiL4pUaNGpLHcj42ZcqUkZU2oT/cvSL/qOKF2WzGW2+9xa+Tw6w9ZrMZqampvMJP14cobuim3Fy6dAlWqxVVq1a12161alWcP39e9JysrCy88cYb+PzzzxESIs/oNGnSJOTn5/NLbm6u23OoKypwoHtVfOnbty//f//+/arEuAGCI84NACQnJyM7OxuZmZnIzs5W7foQRCCgu0Ox48vMGBN9wa1WK5577jlMnz4d9erVk51+aGgoH3iQIIjgQVhPaGGRCGSfGw6z2UzWGqJYopvlpnLlyjCZTE5WmosXLzpZcwDgxo0bOHjwIF5++WWEhIQgJCQEM2bMwK+//oqQkBBs3brVV6IXe2rVqoV58+bpLQZRzHEcBq4WwRDnhiCKO7opNyVLlkSLFi2wZcsWu+1btmxBu3btnI4PDw/HsWPHcOTIEX4ZMWIE6tevjyNHjqBNmza+Et0vSUpKgsFggMFgQEhICGrWrImXXnoJV69e1Vs0UbZv345evXqhWrVqMBgMbh3DCcIRxhh6xJmwsEcoSp7JVC3dYBgtRRDFHV27pcaNG4cBAwagZcuWiI+PR2pqKnJycjBixAgARf4yZ8+excqVK2E0GtGoUSO78yMjI1GqVCmn7cWVbt26YdmyZbh//z7++OMPDBkyBNeuXcPq1av1Fs2JgoICNG3aFIMHD8ZTTz2ltzhEAFJn20h891xRuAb23VDgSBrw4ma9xSIIwg/QzXIDAImJiZg3bx5mzJiBZs2aYfv27fjhhx8QExMDAMjLy0NOTo6eInpFXv5t7D55CXn5t32SX2hoKKKiomA2m9G1a1ckJiZi8+b/VfZWqxXJycmIjY1F6dKlUb9+fcyfP98ujaSkJPTu3RuzZ89GdHQ0KlWqhFGjRrkcjbRs2TJEREQ4WeFc0b17d7zzzjt2TqEEIZvjGxF29TfeymIAAMs+4PhGr5MOFodigijO6O5QPHLkSIwcOVJ03/Lly12eO23aNEybNk19oVRgzYEcTFp3DDYGGA1ASt/GSGwlHZhQbU6dOoWNGzeiRIkS/DabzQaz2YyMjAxUrlwZu3fvxrBhwxAdHY1nnnmGPy4zMxPR0dHIzMzEiRMnkJiYiGbNmmHo0KFO+cyePRspKSnYtGkT2rZtC6Dovg0ePJjM+oR2ZG2GqBpwYgtQv5tXSQdDnBuCKO7ortwEI3n5t3nFBgBsDHhz3W94pF4VREeU1izf7777DmXLloXVasWdO3cAFAVK5ChRogSmT5/Or8fGxmL37t3IyMiwU24qVKiAhQsXwmQyoUGDBujZsyd++uknJ+Vm0qRJWLFiBbZt24bGjRvz2yMiIlC/fn2tikkQQN2uYAfTnRWcuMf1kIYgCD+DlBsNOH2pgFdsOKyMIfvSLU2Vm86dO2PRokW4desW0tLS8Pfff2P06NF2xyxevBhpaWk4c+YMbt++jbt376JZs2Z2xzRs2NAu2m90dDSOHTtmd8yHH36IgoICHDx4ELVr17bb16dPH/Tp00fdwhGEkPrdcLP8gyh79fcinxsABnMbr602ADkUE0QwoKvPTbASWzkMRocmpclgQK3K2kY+DgsLQ1xcHJo0aYIFCxagsLDQzlKTkZGBsWPHYsiQIdi8eTOOHDmCwYMH280eDMCuKwsoquwdZxXu0KEDrFYrMjIytCsQQbjgj/h5+NcXt7BwfyHu9F2pmjMx+dwQROBDyo0GREeURkrfxjD9t6IyGQyY2beRplYbMaZOnYrZs2fj3LlzAIAdO3agXbt2GDlyJJo3b464uDicPHnSo7Rbt26NjRs3YubMmZg1a5aaYhOELBhj+OGEFaM3FMJQL0FvcbyCrEQEoS7ULaURia1q4pF6VZB96RZqVS7jc8UGADp16oSGDRti5syZWLhwIeLi4rBy5Ups2rQJsbGx+Oyzz3DgwAHExsZ6lH58fDw2bNiAbt26ISQkBGPHjgUArF+/HpMmTcJff/0lee7Nmzdx4sQJfv306dM4cuQIKlas6HJGeILgEFoTjUb12mnULUUQgQ9ZbjQkOqI04utU0kWx4Rg3bhyWLl2K3NxcjBgxAn379kViYiLatGmDy5cvS45Uk0v79u3x/fff46233sKCBQsAAPn5+Th+/LjL8w4ePIjmzZujefPmvJzNmzfHlClTvJKHKD5oFaGYIIjAx8CKWfPk+vXriIiIQH5+PsLDw+323blzB6dPn0ZsbCxKlSqlk4SEEuieFV927tyJDh06AADu379v5wTvDQMHDsRnn32GWbNmYfz48aqk6Y5u3bph06ZNWLlyJQYMGOCTPAki0HD1/XaELDcEQQQkwm4pLeaWKmbtPoIIKki5IQgiIAmmbilSpAhCXUi5IQgiINF6VnBSOAgicCHlhiCIgMQx9pJaUJwbggh8SLkhCCIgIcsKQRBSkHJDEERAopVyQxNnEkTgQ8oNQRABSTApNwRBqAspNwRBBCRa+dwUFBQAKApG6WvI54Yg1IGUG4IgAhItLCvp6en8ZLAffPAB0tPTVc+DIAjtIeWGUEytWrUwb948vcUgijlC5cZisXidnsViwbBhw/h0GWMYPny4Kmm7g7rACEJdSLkJEpKSkmAwGGAwGBASEoKaNWvipZdewtWrV/UWTZSUlBS0atUK5cqVQ2RkJHr37u12PiqCELJx40b+f0xMjNdWlqysLKeuLqvVajfBK0EQgQEpN0FEt27dkJeXh+zsbKSlpeHbb7/1emJMrfj5558xatQo7N27F1u2bMH9+/fRtWtX3t+BIFxhsVjw0Ucf8es2m81rK0vdunWdZhc3mUyIi4vzOE2lkM8NQagDKTdakn8WOL296NcHhIaGIioqCmazGV27dkViYiI2b97M77darUhOTkZsbCxKly6N+vXrY/78+XZpJCUloXfv3pg9ezaio6NRqVIljBo1Cvfu3ZPMd9myZYiIiMCWLVtky7px40YkJSWhYcOGaNq0KZYtW4acnBwcOnRIecGJYkdWVpZTV463Vhaz2YzU1FRewTAYDFiyZAnMZrNXshIE4XtIudGKX1YC8xoBK3oV/f6y0qfZnzp1Chs3bkSJEiX4bTabDWazGRkZGfjjjz8wZcoUvPnmm7wDJUdmZiZOnjyJzMxMrFixAsuXL8fy5ctF85k9ezbGjx+PTZs24fHHHwcALF++XHELlBuZUrFiRUXnEcUTrawsycnJ6N+/PwBg3LhxSE5O9io9uZDPDUGoS4jeAgQl+WeBb18B2H/775kN+PZVoM6jQER1zbL97rvvULZsWVitVty5cwcAMGfOHH5/iRIlMH36dH49NjYWu3fvRkZGBp555hl+e4UKFbBw4UKYTCY0aNAAPXv2xE8//YShQ4fa5Tdp0iSsWLEC27ZtQ+PGjfntERERqF+/vmy5GWMYN24cHn74YTRq1EhxuYniB2dlGT58OKxWK0wmk2pWlnLlygEAwsPDvU6LIAh9IOVGC66c/J9iw8GswJVTmio3nTt3xqJFi3Dr1i2kpaXh77//xujRo+2OWbx4MdLS0nDmzBncvn0bd+/eRbNmzeyOadiwIUwmE78eHR2NY8eO2R3z4YcfoqCgAAcPHkTt2rXt9vXp0wd9+vSRLffLL7+Mo0ePYufOnbLPIYjk5GQkJCTgxIkTiIuLC4ruI/K5IQh1oG4pLahYBzA4XFqDCahYW/x4lQgLC0NcXByaNGmCBQsWoLCw0M5Sk5GRgbFjx2LIkCHYvHkzjhw5gsGDB+Pu3bt26Qi7soCiCtdxFEmHDh1gtVqdurSUMnr0aHzzzTfIzMwMio8T4VvMZjM6deqk6rNDEYoJIvAh5UYLIqoDveYXKTRA0W+veZpabcSYOnUqZs+ejXPnzgEAduzYgXbt2mHkyJFo3rw54uLicPLkSY/Sbt26NTZu3IiZM2di1qxZis9njOHll1/GunXrsHXrVsTGxnokB0GojR7WE1KkCEJdSLnRiocGAq8eAwZ9V/T70ECfi9CpUyc0bNgQM2fOBADExcXh4MGD2LRpE/7++2+89dZbOHDggMfpx8fHY8OGDZgxYwbmzp3Lb1+/fj0aNGjg8txRo0Zh1apV+OKLL1CuXDmcP38e58+fx+3btz2WhyDUhBQOgghcSLnRkojqQGwHn1tshIwbNw5Lly5Fbm4uRowYgb59+yIxMRFt2rTB5cuXvY6D0759e3z//fd46623sGDBAgBFI5/cBeRbtGgR8vPz0alTJ0RHR/PLmjVrvJKHILxFz24p8rkhCHUwsGLWPLl+/ToiIiKQn5/vNBrizp07OH36NGJjY1GqVCmdJCSUQPeMUJtRo0bhk08+wZQpU+x81rTk0UcfxdatW7F69Wo8++yzPsmTIAINV99vR8hyQxAEIYAcigki8CHlhiAIQoAeyg0pUgShLqTcEARBEAQRVJByQxAEIYAcigki8CHlhiAIQgD53BBE4EPKDUEQhAZYLBZkZmbCYrG4PZYUKYJQF92Vm08++YQfxtuiRQvs2LFD8th169bh8ccfR5UqVRAeHo74+Hhs2rTJh9ISBBHsqGG5SU9PR0xMDLp06YKYmBikp6erJR5BEDLQVblZs2YNXn31VUyePBmHDx9Ghw4d0L17d+Tk5Igev337djz++OP44YcfcOjQIXTu3Bm9evXC4cOHfSw5QRDBird+LxaLBcOGDePnY7PZbBg+fLgsCw753BCEOug6K/icOXOQnJyMF198EQAwb948bNq0CYsWLUJKSorT8fPmzbNbnzlzJv7v//4P3377LZo3by6aR2FhIQoLC/n169evq1cAgiCCFk8tN1lZWU4TzVqtVpw4cYImhyUIH6Gb5ebu3bs4dOgQunbtare9a9eu2L17t6w0bDYbbty4gYoVK0oek5KSgoiICH6pUaOGV3ITQK1atZwUTYIIFrztlqpbty6MRvuq1WQyIS4uTvIc8rkhCHXRTbm5dOkSrFYrqlatare9atWqOH/+vKw0PvzwQxQUFOCZZ56RPGbSpEnIz8/nl9zcXK/k9leSkpJgMBhgMBgQEhKCmjVr4qWXXsLVq1f1Fk2URYsWoUmTJggPD+f9pzZs2KC3WAThNWazGampqfy6wWDAkiVLyGpDED5Ed4dixz5mxpisfufVq1dj2rRpWLNmDSIjIyWPCw0N5T+g3BKsdOvWDXl5ecjOzkZaWhq+/fZbryfG1Aqz2Yz33nsPBw8exMGDB9GlSxc8+eST+P333/UWjSjmcPXP9evXkZGRgYyMDFn+MkKSk5P5/y+++KLdupy8CYLwDt2Um8qVK8NkMjlZaS5evOhkzXFkzZo1SE5ORkZGBh577DEtxfSK8wXnsT9vP84XyLNEeUtoaCiioqJgNpvRtWtXJCYmYvPmzfx+q9WK5ORkxMbGonTp0qhfvz7mz59vl0ZSUhJ69+6N2bNnIzo6GpUqVcKoUaNw7949yXyXLVuGiIgIbNmyRbasvXr1Qo8ePVCvXj3Uq1cP7777LsqWLYu9e/cqLzhBqAinYCxatAiJiYlITExEjRo1MGHCBMVKDgCULVtWbREJgnCDbspNyZIl0aJFC6cP4pYtW9CuXTvJ81avXo2kpCR88cUX6Nmzp9Ziesy6rHVI+CoByZuTkfBVAtZlrfNp/qdOncLGjRtRokQJfpvNZoPZbEZGRgb++OMPTJkyBW+++SYyMjLszs3MzMTJkyeRmZmJFStWYPny5Vi+fLloPrNnz8b48eOxadMmPP744wCA5cuXK2qBWq1WfPnllygoKEB8fLzywhKEihw4cEB0++zZsz0a1u3oXCwG+dwQhLroOlpq3LhxGDBgAFq2bIn4+HikpqYiJycHI0aMAFDkL3P27FmsXLkSQJFiM3DgQMyfPx9t27blrT6lS5dGRESEbuVw5HzBeUzfMx029t+hoMyG6Xumo121dogKi9Is3++++w5ly5aF1WrFnTt3ABSNSOMoUaIEpk+fzq/HxsZi9+7dyMjIsPNbqlChAhYuXAiTyYQGDRqgZ8+e+OmnnzB06FC7/CZNmoQVK1Zg27ZtaNy4Mb89IiIC9evXdyvvsWPHEB8fjzt37qBs2bJYv349HnzwQY/LTxDeYrFYsH37dsn93LDuhIQE2T40pLgQhO/RVblJTEzE5cuXMWPGDOTl5aFRo0b44YcfEBMTAwDIy8uzi3mzZMkS3L9/H6NGjcKoUaP47YMGDZK0LOhBzvUcXrHhsDEbcm/kaqrcdO7cGYsWLcKtW7eQlpaGv//+G6NHj7Y7ZvHixUhLS8OZM2dw+/Zt3L17F82aNbM7pmHDhjCZTPx6dHQ0jh07ZncM58x98OBB1K5d225fnz590KdPH7fy1q9fH0eOHMG1a9fw1VdfYdCgQfj5559JwSF0Iysry+0xSod1y7HccJDPDUGog+4OxSNHjkR2djYKCwtx6NAhPPLII/y+5cuXY9u2bfz6tm3bwBhzWvxJsQGAmuE1YTTYX1qjwYga5bQdhh4WFoa4uDg0adIECxYsQGFhoZ2lJiMjA2PHjsWQIUOwefNmHDlyBIMHD8bdu3ft0hF2ZQFFFa5jBd2hQwdYrVanLi0llCxZEnFxcWjZsiVSUlLQtGlTJx8ggvAldevWdatgOA7rdpxmgVvnUKLcEAShDrorN8FIVFgUpsZP5RUco8GIqfFTNbXaiDF16lTMnj0b586dAwDs2LED7dq1w8iRI9G8eXPExcXh5MmTHqXdunVrbNy4ETNnzsSsWbNUkZcxZhdwkSB8jdlsRkJCguR+k8lkN6zbcZqFpKQkfp2DlBuC8D26dksFM33r9kW7au2QeyMXNcrV8LliAwCdOnVCw4YNMXPmTCxcuBBxcXFYuXIlNm3ahNjYWHz22Wc4cOAAYmNjPUqfi03TrVs3hISEYOzYsQCA9evXY9KkSfjrr78kz33zzTfRvXt31KhRAzdu3MCXX36Jbdu2YePGjR7JQhBq0bRpU8nncM+ePbh58yZvpXGcZmHFihVO52RlZfHHZ2VloW7duk5dWuSXQxDqQsqNhkSFRemi1AgZN24cBg8ejIkTJ2LEiBE4cuQIEhMTYTAY0L9/f4wcOdKr4Hnt27fH999/jx49esBkMmHMmDHIz8/H8ePHXZ534cIFDBgwAHl5eYiIiECTJk2wceNGfsQVQfgjbdu2hc1mg9FoxGOPPSbLKvPTTz+hRo0aMBgMYIzBaDQiNTVVNPYN+dwQhDoYWDFrMly/fh0RERHIz893Cuh3584dnD59mp+lnPB/6J4RajNp0iS89957muZhMpmQnZ3NW3AeeeQR7NixA2vXrsVTTz2lad4EEai4+n47Qj43BEEQPoYbcUUQhDZQtxRBEIQAX3QNcSOuLBYLsrKy+LhUBEGoAyk3BEEQPoSbSHPTpk12DsncPoIgvIeUG4IgCAFyh26bTCZYrVaP8mjSpAnvnCzk8uXLHqVHEIQ95HNDEAQhQM7krUajEUuWLPEofcYYdu7cKapE5eXleZQmQRD2kOWGIAjiv1gsFvz8889uj/vyyy89nuTVaDTi4YcfhtFodFJwoqOjPUqTIAh7yHJDEATxX+TMLQUAn332GT8HnlKmT5+OVq1aITU11Wlf5cqVPUqTIAh7yHJDEATxX+rWrSvruG+//dbjPPr27QsALqd5IAjCO8hyQxAE8V/MZjM6deqkaR5Wq5Wfk8qRS5cuaZo3QRQXSLkhFFOrVi3MmzdPbzEIQhO09ns5d+6c0xBwjuHDhyM9PV3T/AmiOEDKTZCQlJQEg8EAg8GAkJAQ1KxZEy+99BKuXr2qt2huSUlJgcFgwKuvvqq3KASBa9euaZr+qlWrJIebM8YwfPhwfqJNgiA8g5QbDbl3/jwK9u7DvfPnfZJft27dkJeXh+zsbKSlpeHbb7/FyJEjfZK3pxw4cACpqalo0qSJ3qIQBAAgLCxM0/RXrVrlcj9NzUAQ3kPKjUZcW7sWJ7o8ipykJJzo8iiurV2reZ6hoaGIioqC2WxG165dkZiYiM2bN/P7rVYrkpOTERsbi9KlS6N+/fqYP3++XRpJSUno3bs3Zs+ejejoaFSqVAmjRo3CvXv3JPNdtmwZIiIisGXLFkXy3rx5E88//zyWLl2KChUqKCssQWhE6dKldc2fm5qBIAjPIeVGA+6dP4+8KVMBzvRssyFvylSfWXAA4NSpU9i4cSNKlCjBb7PZbDCbzcjIyMAff/yBKVOm4M0330RGRobduZmZmTh58iQyMzOxYsUKLF++HMuXLxfNZ/bs2Rg/fjw2bdqExx9/HACwfPlyWWHkR40ahZ49e+Kxxx7zvKAEoTKeRh1WA25qBm62cIIgPIOGgmvA3ewz/1NsOGw23D2TgxJRUZrl+91336Fs2bKwWq38RHxz5szh95coUQLTp0/n12NjY7F7925kZGTgmWee4bdXqFABCxcuhMlkQoMGDdCzZ0/89NNPGDp0qF1+kyZNwooVK7Bt2zY0btyY3x4REYH69eu7lPXLL7/EL7/8ggMHDnhVZoJQGz2Vm44dOyI5OVm3/AkiWCDlRgNK1ooBjEZ7BcdoRMmYmprm27lzZyxatAi3bt1CWloa/v77b4wePdrumMWLFyMtLQ1nzpzB7du3cffuXTRr1szumIYNG8JkMvHr0dHROHbsmN0xH374IQoKCnDw4EHUrl3bbl+fPn3Qp08fSTlzc3PxyiuvYPPmzShVqpSHpSUIbdBTudm2bRssFgtZbgjCS6hbSgNKREUhesb0IgUHAIxGRM+YrqnVBihyhIyLi0OTJk2wYMECFBYW2llqMjIyMHbsWAwZMgSbN2/GkSNHMHjwYNy9e9defkFXFlBkKncc3dGhQwdYrVanLi05HDp0CBcvXkSLFi0QEhKCkJAQ/Pzzz1iwYAFCQkJ0/bgQhN7P3549e3TNnyCCAbLcaET5p59G2MMP4+6ZHJSMqam5YiPG1KlT0b17d7z00kuoVq0aduzYgXbt2tmNoDp58qRHabdu3RqjR49GQkICTCYTJkyYIPvcRx991MkSNHjwYDRo0AATJ060sxoRhK85deqUrvlv3boV/fr101UGggh0yHKjISWiohDWprUuig0AdOrUCQ0bNsTMmTMBAHFxcTh48CA2bdqEv//+G2+99ZZXPi/x8fHYsGEDZsyYgblz5/Lb169fjwYNGkieV65cOTRq1MhuCQsLQ6VKldCoUSOP5SEIb7FYLPj11191lWHp0qUU54YgvISUmyBn3LhxWLp0KXJzczFixAj07dsXiYmJaNOmDS5fvux1HJz27dvj+++/x1tvvYUFCxYAAPLz83H8+HE1xCcInyJ34kwtoTg3BOE9BsYY01sIX3L9+nVEREQgPz8f4eHhdvvu3LmD06dPIzY2lhxdAwS6Z4SaWCwW1HqwGcq2fgql67SGIcRHzxRjYLev4fqBdSj8azuys7PJqZggHHD1/XaEfG4IgiD+y648G8wvLQMMOhi1wyugcs9xKNvjJVJsCMJLqFuKIAgCQF7+bUz86pg+is1/MRgMKDCWwX8O5ugmA0EEA6TcEARBADh9qUBvEXg2/35BbxEIIqAh5YYgCAJAbGVtJ8yUD0PXhlX1FoIgAhpSbgiCIABER5TG+081BqDfGAvGGO5dyUN8FFXNBOEN5FBMEATxXxJb1cQj9arggade/e9oqVDfZMyPllqPW79n4sRzmeRUTBBeQMoNQRCEgOiI0sj/KRX5P6Xqkr/JZEJcXJwueRNEsEC2T4IgCAHp6em65v/ee++R1YYgvISUG4IgiP9isVgwbNgwXWVo2bKlrvkTRDCgu3LzySef8NFlW7RogR07drg8/ueff0aLFi1QqlQp1K5dG4sXL/aRpARHrVq1MG/ePL3FIAjVycrKgs1m0y1/6pIiCHXQVblZs2YNXn31VUyePBmHDx9Ghw4d0L17d+TkiAewOn36NHr06IEOHTrg8OHDePPNNzFmzBh89dVXPpbc/0hKSoLBYIDBYEBISAhq1qyJl156CVevXtVbNFGmTZvGy8stUTpNMEoQHHXr1oXRqF+1+MILL1CXFEGogK7KzZw5c5CcnIwXX3wRDzzwAObNm4caNWpg0aJFoscvXrwYNWvWxLx58/DAAw/gxRdfxJAhQzB79mzJPAoLC3H9+nW7xVfcvHoHluNXcfPqHZ/k161bN+Tl5SE7OxtpaWn49ttvvZ4YU0saNmyIvLw8fjl27JjeIhHFHLPZjNTUVN0UnFWrVtGM4AShAropN3fv3sWhQ4fQtWtXu+1du3bF7t27Rc/Zs2eP0/EJCQk4ePAg7t27J3pOSkoKIiIi+KVGjRrqFMANf+w6h5Vv7sb/zT2MlW/uxh+7zmmeZ2hoKKKiomA2m9G1a1ckJiZi8+bN/H6r1Yrk5GTExsaidOnSqF+/PubPn2+XRlJSEnr37o3Zs2cjOjoalSpVwqhRoySvLwAsW7YMERER2LJliyJ5Q0JCEBUVxS9VqlRRVmCC0IDk5GTs3btXFwWHZgQnCHXQTbm5dOkSrFYrqla1j8RZtWpVnD9/XvSc8+fPix5///59XLp0SfScSZMmIT8/n19yc3PVKYALbl69g22r/gI33zpjwLbP//KZBQcATp06hY0bN6JEiRL8NpvNBrPZjIyMDPzxxx+YMmUK3nzzTWRkZNidm5mZiZMnTyIzMxMrVqzA8uXLsXz5ctF8Zs+ejfHjx2PTpk14/PHHAQDLly+HwWBwK2NWVhaqVauG2NhYPPvsszh16pTnBSYIFWnVqhVSU30/FJx8bghCHXSPc+P4EWSMufwwih0vtp0jNDQUoaE+CsT1X65dvM0rNhzMBuRfvI2yFUpplu93332HsmXLwmq14s6dIkVqzpw5/P4SJUpg+vTp/HpsbCx2796NjIwMPPPMM/z2ChUqYOHChTCZTGjQoAF69uyJn376CUOHDrXLb9KkSVixYgW2bduGxo0b89sjIiJQv359l7K2adMGK1euRL169XDhwgW88847aNeuHX7//XdUqlTJq+tAEGrAdZn7kiVLlpDPDUGogG7KTeXKlWEymZysNBcvXnSyznBERUWJHh8SEuJXH8TykaVhMMBOwTEYgYjI0prm27lzZyxatAi3bt1CWloa/v77b4wePdrumMWLFyMtLQ1nzpzB7du3cffuXTRr1szumIYNG8JkMvHr0dHRTv4wH374IQoKCnDw4EHUrl3bbl+fPn3Qp08fl7J2796d/9+4cWPEx8ejTp06WLFiBcaNG6ek2AQRNCQnJ+stAkEEBbp1S5UsWRItWrRw8tPYsmUL2rVrJ3pOfHy80/GbN29Gy5Yt7bpf9KZshVLo9EIDGP57dQ1GoNPzDTS12gBAWFgY4uLi0KRJEyxYsACFhYV2lpqMjAyMHTsWQ4YMwebNm3HkyBEMHjwYd+/etUvH8VoaDAan4bEdOnSA1Wp16tLyRvbGjRsjKytLlfQIgiCI4ouu3VLjxo3DgAED0LJlS8THxyM1NRU5OTkYMWIEgKJuj7Nnz2LlypUAgBEjRmDhwoUYN24chg4dij179iA9PR2rV6/WsxiiPNi+Gmo+WBH5F28jIrK05oqNGFOnTkX37t3x0ksvoVq1atixYwfatWtnN4Lq5MmTHqXdunVrjB49GgkJCTCZTJgwYYJXshYWFuLPP/9Ehw4dvEqHIPTiySefxLfffqtrnByCIIrQdSh4YmIi5s2bhxkzZqBZs2bYvn07fvjhB8TExAAA8vLy7GLexMbG4ocffsC2bdvQrFkzvP3221iwYAGeeuopvYrgkrIVSqF6/Qq6KDYA0KlTJzRs2BAzZ84EAMTFxeHgwYPYtGkT/v77b7z11ls4cOCAx+nHx8djw4YNmDFjBubOnctvX79+PRo0aODy3PHjx+Pnn3/G6dOnsW/fPjz99NO4fv06Bg0a5LE8BKEmSqdhYIyRYkMQfoLuDsUjR46UjMUiNkKnY8eO+OWXXzSWKngYN24cBg8ejIkTJ2LEiBE4cuQIEhMTYTAY0L9/f4wcORIbNmzwOP327dvj+++/R48ePWAymTBmzBjk5+fj+PHjLs+zWCzo378/Ll26hCpVqqBt27bYu3cvr9gShJ54Mg3DN998A4PBwA9yIAhCPwysmL2J169fR0REBPLz8xEeHm63786dOzh9+jQ/HQTh/9A9I7QgMzMTXbp0UXyet8pNbm4ujZYiCAlcfb8d0X1uKYIgCH/D02kYhIpNmTJlZMV7EkIB/AhCHUi5IQiCcICbhkEYEkEMR+VFeLwnyhEF8CMIdSDlhiAIQoTk5GRs377d5TFPPvkk/99kMuGFF17g12/evKm4i4q6pAhCHUi5IQiCkEDJTPVWq5UPWyEXg8GAAQMG8Os0aSZBqAMpNwRBEDIQ66L6+uuv7dbFLDWuuqcYY/jnn3/49ZiYGMVD0AmCcIaUG4IgCAmEysqaNWsUn28ymbB3717J/UajEZs2beLXbTYbhg8fThYcgvASUm4IgiAkEE4v0q9fP7fHGwwG3sJjMpmwZMkStGrVit8fFhZmt3/cuHFO1h6r1UqjpgjCS3QP4kcQBOGPWCwW/Pvf/+bX3TkHc8pMQkICTpw4gbi4OCcH4VKlSuGvv/7i9wPAnDlz7CIbm0wmGjVFEF5Cyg1BEIQIWVlZsqdTmDt3Lp5++mlemZEa9cQYg9lsttufmpqK4cOHw2q18goSjZoiCO+gbilCNWrVqoV58+bx6waDwcnhkiACBbmB/Ewmk51i4wox609ycjKys7ORmZmJ7OxsJCcneyQvQRD/g5SbICEpKQkGg4FfKlWqhG7duuHo0aO6yZSXl4fu3bvrlj9BeINjID+x0VJKLS1SXVtmsxmdOnUiiw1BqAQpN1pisQCZmUW/PqBbt27Iy8tDXl4efvrpJ4SEhOBf//qXT/IWIyoqCqGhobrlTxDeIrSqvPfee3b7xo8fr9jSUsym8iMI3SDlRivS04GYGKBLl6JfH8SuCA0NRVRUFKKiotCsWTNMnDgRubm5fByNiRMnol69eihTpgxq166Nt956C/fu3ePP//XXX9G5c2eUK1cO4eHhaNGiBQ4ePMjv3717Nx555BGULl0aNWrUwJgxY1BQUCApj7BbKjs7GwaDAevWrUPnzp1RpkwZNG3aFHv27LE7R2keBKE1ZrMZcXFxmDhxot32uXPn6iQRQRDuIOVGCywWYNgwgHNGtNmA4cN9ZsEBikK/f/7554iLi0OlSpUAAOXKlcPy5cvxxx9/YP78+Vi6dKldBf3888/DbDbjwIEDOHToEN544w2UKFECAHDs2DEkJCSgb9++OHr0KNasWYOdO3fi5ZdfViTX5MmTMX78eBw5cgT16tVD//79cf/+fVXzIAi1EXMupiHbBOHHsGJGfn4+A8Dy8/Od9t2+fZv98ccf7Pbt295lsnUrY4DzkpnpXbouGDRoEDOZTCwsLIyFhYUxACw6OpodOnRI8pwPPviAtWjRgl8vV64cW758ueixAwYMYMOGDbPbtmPHDmY0GvnrFRMTw+bOncvvB8DWr1/PGGPs9OnTDABLS0vj9//+++8MAPvzzz9l5+GIaveMIFyQm5vLjEYjA8AvJpOJ5ebmyjqfOyc8PFxjSQkieHH1/XaELDdaULcu4DjKwmQCNI5d0blzZxw5cgRHjhzBvn370LVrV3Tv3h1nzpwBAKxduxYPP/wwoqKiULZsWbz11lvIycnhzx83bhxefPFFPPbYY3jvvfdw8uRJft+hQ4ewfPlylC1bll8SEhJgs9lw+vRp2TI2adKE/x8dHQ0AuHjxoqp5EITaiDkXezJk22q1aiEeQRAOkHKjBWYzkJpapNAARb9LlhRt15CwsDDExcUhLi4OrVu3Rnp6OgoKCrB06VLs3bsXzz77LLp3747vvvsOhw8fxuTJk3H37l3+/GnTpuH3339Hz549sXXrVjz44INYv349gP+FheeUpyNHjuDXX39FVlYW6tSpI1tGrpsLKPLJ4dJWMw+C0AJPh2wL54oqKCiguaMIwgdQED+tSE4GEhKAEyeKLDY6DPE0GAwwGo24ffs2du3ahZiYGEyePJnfz1l0hNSrVw/16tXD2LFj0b9/fyxbtgx9+vTBQw89hN9//13TyKm+yIMgvMExAJ87LBYLhg0bZrdt+PDhSEhIoGHfBKEhZLnRErMZ6NTJZ4pNYWEhzp8/j/Pnz+PPP//E6NGjcfPmTfTq1QtxcXHIycnBl19+iZMnT2LBggW8VQYAbt++jZdffhnbtm3DmTNnsGvXLhw4cAAPPPAAgKKRVnv27MGoUaNw5MgRZGVl4ZtvvsHo0aNVk98XeRCELyFHZILQB7LcBBEbN27k/VjKlSuHBg0a4D//+Q86deoEABg7dixefvllFBYWomfPnnjrrbcwbdo0AEU+BJcvX8bAgQNx4cIFVK5cGX379sX06dMBFPnK/Pzzz5g8eTI6dOgAxhjq1KmDxMRE1eT3RR4E4Uu4KMc0dxRB+BYDY8UrqtT169cRERGB/Px8hIeH2+27c+cOTp8+jdjYWJQqVUonCQkl0D0j/J309HSnuaNoigWCUI6r77cjZLkhCILQkOTkZJczhRMEoT6k3BAEQWiMUkdkgiC8gxyKCYIgCIIIKki5IQiCIAgiqCDlRoRi5mMd0NC9IgiCIBwh5UYAFz331q1bOktCyIW7V8LIxwRBEETxhhyKBZhMJpQvX56f66hMmTL8FAGEf8EYw61bt3Dx4kWUL1+en/OHIAiCIEi5cSAqKgrA/yZzJPyb8uXL8/eMIAiCIABSbpwwGAyIjo5GZGQk7t27p7c4hAtKlChBFhuCIAjCCVJuJDCZTPThJAiCIIgAhByKCYIgCIIIKki5IQiCIAgiqCDlhiAIgiCIoKLY+dxwQd+uX7+usyQEQRAEQciF+27LCd5a7JSbGzduAABq1KihsyQEQRAEQSjlxo0biIiIcHmMgRWz+PU2mw3nzp1DuXLlgj5A3/Xr11GjRg3k5uYiPDxcb3F8SnEte3EtN0Blp7IXr7IXx3IzxnDjxg1Uq1YNRqNrr5piZ7kxGo0wm816i+FTwsPDi83D70hxLXtxLTdAZaeyFy+KW7ndWWw4yKGYIAiCIIiggpQbgiAIgiCCClJugpjQ0FBMnToVoaGheovic4pr2YtruQEqO5W9eJW9uJZbLsXOoZggCIIgiOCGLDcEQRAEQQQVpNwQBEEQBBFUkHJDEARBEERQQcoNQRAEQRBBBSk3fkStWrVgMBicllGjRvHH/Pnnn3jiiScQERGBcuXKoW3btsjJyeH3nz9/HgMGDEBUVBTCwsLw0EMPYe3atXb5XL16FQMGDEBERAQiIiIwYMAAXLt2ze6YnJwc9OrVC2FhYahcuTLGjBmDu3fvBnTZs7OzkZycjNjYWJQuXRp16tTB1KlTncolJsfixYsDttxS+bzxxht2xwTjPd+2bZtoHgaDAQcOHOCP8+U9V6vsJ0+eRJ8+fVClShWEh4fjmWeewYULF+zy8bd33Rfl9sf33Fdll8pH73ddFxjhN1y8eJHl5eXxy5YtWxgAlpmZyRhj7MSJE6xixYpswoQJ7JdffmEnT55k3333Hbtw4QKfxmOPPcZatWrF9u3bx06ePMnefvttZjQa2S+//MIf061bN9aoUSO2e/dutnv3btaoUSP2r3/9i99///591qhRI9a5c2f2yy+/sC1btrBq1aqxl19+OaDLvmHDBpaUlMQ2bdrETp48yf7v//6PRUZGstdee81OFgBs2bJldvLcunUrYMvNGGMxMTFsxowZdnnduHGD3x+s97ywsNAuj7y8PPbiiy+yWrVqMZvNxqfjy3uuRtlv3rzJateuzfr06cOOHj3Kjh49yp588knWqlUrZrVa+Xz87V33Rbn98T33VdkZ8893XQ9IufFjXnnlFVanTh2+Ek5MTGQvvPCCy3PCwsLYypUr7bZVrFiRpaWlMcYY++OPPxgAtnfvXn7/nj17GAD2119/McYY++GHH5jRaGRnz57lj1m9ejULDQ1l+fn5qpTNHVqUXYwPPviAxcbG2m0DwNavX++Z4F6iVbljYmLY3LlzJdMoLvf87t27LDIyks2YMcNuu573nDHlZd+0aRMzGo129+bKlSsMANuyZQtjLDDedS3KLYa/veeMaVf2QHjXfQF1S/kpd+/exapVqzBkyBAYDAbYbDZ8//33qFevHhISEhAZGYk2bdrg66+/tjvv4Ycfxpo1a3DlyhXYbDZ8+eWXKCwsRKdOnQAAe/bsQUREBNq0acOf07ZtW0RERGD37t38MY0aNUK1atX4YxISElBYWIhDhw4FbNnFyM/PR8WKFZ22v/zyy6hcuTJatWqFxYsXw2azqVxKZ7Qu9/vvv49KlSqhWbNmePfdd+3M0MXlnn/zzTe4dOkSkpKSnPbpcc8Bz8peWFgIg8FgF8CtVKlSMBqN2LlzJwD/f9e1KrcY/vSeA9qX3Z/fdZ+ht3ZFiLNmzRpmMpl47TovL48BYGXKlGFz5sxhhw8fZikpKcxgMLBt27bx5127do0lJCQwACwkJISFh4ezzZs38/vfffddVrduXaf86taty2bOnMkYY2zo0KHs8ccfdzqmZMmS7IsvvlC7qE5oVXZHTpw4wcLDw9nSpUvttr/99tts9+7d7PDhw2z27NmsTJky7O2339amsAK0LPecOXPYtm3b2K+//sqWLl3KKleuzJKTk/n9xeWed+/enXXv3t1pu173nDHPyn7x4kUWHh7OXnnlFVZQUMBu3rzJRo0axQCwYcOGMcb8/13XqtyO+Nt7zpi2Zff3d91XkHLjp3Tt2tWub/zs2bMMAOvfv7/dcb169WLPPvssv/7yyy+z1q1bsx9//JEdOXKETZs2jUVERLCjR48yxooqvHr16jnlFxcXx1JSUhhjRQ9/165dnY4pUaIEW716tSrlc4VWZRdy9uxZFhcXZ/fSSzF79mwWHh7uRYnk4Ytyc6xdu5YBYJcuXWKMFY97npuby4xGI1u7dq1beXx1zxnzvOybNm1itWvXZgaDgZlMJvbCCy+whx56iL300kuMMf9/17UqtxB/fM8Z803ZOfztXfcVIT40EhEyOXPmDH788UesW7eO31a5cmWEhITgwQcftDv2gQce4E2SJ0+exMKFC/Hbb7+hYcOGAICmTZtix44d+Pjjj7F48WJERUU5edcDwD///IOqVasCAKKiorBv3z67/VevXsW9e/f4Y7RCy7JznDt3Dp07d0Z8fDxSU1PdytS2bVtcv34dFy5c0Kz8vii3Y5kA4MSJE6hUqVLQ33MAWLZsGSpVqoQnnnjCrUy+uOeA52UHgK5du+LkyZO4dOkSQkJCUL58eURFRSE2NhYA/Ppd17LcHP74ngO+KbsQf3rXfQn53Pghy5YtQ2RkJHr27MlvK1myJFq1aoXjx4/bHfv3338jJiYGAHDr1i0AgNFof1tNJhPflxwfH4/8/Hzs37+f379v3z7k5+ejXbt2/DG//fYb8vLy+GM2b96M0NBQtGjRQsWSOqNl2QHg7Nmz6NSpEx566CEsW7bM6XgxDh8+jFKlSqF8+fKeFsstWpfbkcOHDwMAoqOjAQT3PQcAxhiWLVuGgQMHokSJEm5l8sU9Bzwvu5DKlSujfPny2Lp1Ky5evMgrb/78rmtZbsB/33NA+7I74k/vuk/R23RE2GO1WlnNmjXZxIkTnfatW7eOlShRgqWmprKsrCz20UcfMZPJxHbs2MEYKxoJEhcXxzp06MD27dvHTpw4wWbPns0MBgP7/vvv+XS6devGmjRpwvbs2cP27NnDGjduLDo89NFHH2W//PIL+/HHH5nZbNZ8qKDWZedM1F26dGEWi8VuqCTHN998w1JTU9mxY8fYiRMn2NKlS1l4eDgbM2ZMwJZ79+7dfD/+qVOn2Jo1a1i1atXYE088wecTrPec48cff2QA2B9//OGUjx73nDHvys4YY59++inbs2cPO3HiBPvss89YxYoV2bhx4+zS8cd3Xety++t77ouy+/O77mtIufEzNm3axACw48ePi+5PT09ncXFxrFSpUqxp06bs66+/ttv/999/s759+7LIyEhWpkwZ1qRJE6ehspcvX2bPP/88K1euHCtXrhx7/vnn2dWrV+2OOXPmDOvZsycrXbo0q1ixInv55ZfZnTt3VC2rI1qXfdmyZQyA6MKxYcMG1qxZM1a2bFlWpkwZ1qhRIzZv3jx27949bQrNtC/3oUOHWJs2bVhERAQrVaoUq1+/Pps6dSorKCiwSycY7zlH//79Wbt27UTz0OOeM+Z92SdOnMiqVq3KSpQowerWrcs+/PBDu9g9jPnnu651uf31PWdM+7L787vuawyMMeZbWxFBEARBEIR2kM8NQRAEQRBBBSk3BEEQBEEEFaTcEARBEAQRVJByQxAEQRBEUEHKDUEQBEEQQQUpNwRBEARBBBWk3BAEQRAEEVSQckMQBEEQRFBByg1BEC6ZNm0amjVr5vN8t23bBoPBAIPBgN69e/s8fzXhynLt2jW3x2ZnZ/Pl1uO6E0QwQMoNQRRjuI+o1JKUlITx48fjp59+0k3G48ePY/ny5brl72tq1KiBvLw8vPbaa3qLQhABS4jeAhAEoR/CmYHXrFmDKVOm2M1MXLp0aZQtWxZly5bVQzwAQGRkpOYzNfsTJpMJUVFRul5zggh0yHJDEMWYqKgofomIiIDBYHDa5tgtlZSUhN69e2PmzJmoWrUqypcvj+nTp+P+/fuYMGECKlasCLPZjE8//dQur7NnzyIxMREVKlRApUqV8OSTTyI7O1uxzGvXrkXjxo1RunRpVKpUCY899hgKCgr4/cuWLcMDDzyAUqVKoUGDBvjkk0/szrdYLHj22WdRsWJFhIWFoWXLlti3bx+/f9GiRahTpw5KliyJ+vXr47PPPrM732AwIC0tDX369EGZMmVQt25dfPPNN3bH/PDDD6hXrx5Kly6Nzp07O5XzzJkz6NWrFypUqICwsDA0bNgQP/zwg+JrQRCEOKTcEAShmK1bt+LcuXPYvn075syZg2nTpuFf//oXKlSogH379mHEiBEYMWIEcnNzAQC3bt1C586dUbZsWWzfvh07d+5E2bJl0a1bN9y9e1d2vnl5eejfvz+GDBmCP//8E9u2bUPfvn3Bzf+7dOlSTJ48Ge+++y7+/PNPzJw5E2+99RZWrFgBALh58yY6duyIc+fO4ZtvvsGvv/6K119/HTabDQCwfv16vPLKK3jttdfw22+/Yfjw4Rg8eDAyMzPt5Jg+fTqeeeYZHD16FD169MDzzz+PK1euAAByc3PRt29f9OjRA0eOHMGLL76IN954w+78UaNGobCwENu3b8exY8fw/vvvk6WGINRE51nJCYLwE5YtW8YiIiKctk+dOpU1bdqUXx80aBCLiYlhVquV31a/fn3WoUMHfv3+/fssLCyMrV69mjHGWHp6Oqtfvz6z2Wz8MYWFhax06dJs06ZNovJkZmYyAOzq1av8tkOHDjEALDs7W/ScGjVqsC+++MJu29tvv83i4+MZY4wtWbKElStXjl2+fFn0/Hbt2rGhQ4fabevXrx/r0aMHvw6A/fvf/+bXb968yQwGA9uwYQNjjLFJkyaxBx54wK6sEydOtCtL48aN2bRp00Rl4HC87gRByIcsNwRBKKZhw4YwGv9XfVStWhWNGzfm100mEypVqoSLFy8CAA4dOoQTJ06gXLlyvA9PxYoVcefOHZw8eVJ2vk2bNsWjjz6Kxo0bo1+/fli6dCmuXr0KAPjnn3+Qm5uL5ORkPo+yZcvinXfe4fM4cuQImjdvjooVK4qm/+eff6J9+/Z229q3b48///zTbluTJk34/2FhYShXrhxf1j///BNt27aFwWDgj4mPj7c7f8yYMXjnnXfQvn17TJ06FUePHpV9DQiCcA85FBMEoZgSJUrYrRsMBtFtXHePzWZDixYt8PnnnzulVaVKFdn5mkwmbNmyBbt378bmzZvx0UcfYfLkydi3bx/KlCkDoKhrqk2bNk7nAUUO0u4QKiUAwBhz2uaqrOy/XWSuePHFF5GQkIDvv/8emzdvRkpKCj788EOMHj3a7bkEQbiHLDcEQWjOQw89hKysLERGRiIuLs5uiYiIUJSWwWBA+/btMX36dBw+fBglS5bE+vXrUbVqVVSvXh2nTp1yyiM2NhZAkcXlyJEjvH+MIw888AB27txpt2337t144IEHZMv34IMPYu/evXbbHNeBoiHfI0aMwLp16/Daa69h6dKlsvMgCMI1pNwQBKE5zz//PCpXrownn3wSO3bswOnTp/Hzzz/jlVdegcVikZ3Ovn37MHPmTBw8eBA5OTlYt24d/vnnH175mDZtGlJSUjB//nz8/fffOHbsGJYtW4Y5c+YAAPr374+oqCj07t0bu3btwqlTp/DVV19hz549AIAJEyZg+fLlWLx4MbKysjBnzhysW7cO48ePly3jiBEjcPLkSYwbNw7Hjx/HF1984RSn59VXX8WmTZtw+vRp/PLLL9i6dasiBYogCNeQckMQhOaUKVMG27dvR82aNdG3b1888MADGDJkCG7fvo3w8HDZ6YSHh2P79u3o0aMH6tWrh3//+9/48MMP0b17dwBF3T1paWlYvnw5GjdujI4dO2L58uW85aZkyZLYvHkzIiMj0aNHDzRu3Bjvvfce323Vu3dvzJ8/H7NmzULDhg2xZMkSLFu2DJ06dZItY82aNfHVV1/h22+/RdOmTbF48WLMnDnT7hir1YpRo0bhgQceQLdu3VC/fn2nIesEQXiOgcnpICYIgvAx27ZtQ+fOnXH16tViFcSPY9q0afj6669x5MgRvUUhiICDLDcEQfg1ZrMZ/fv311sMn5GTk4OyZcs6WXsIgpAPWW4IgvBLbt++jbNnzwIAypYti6ioKJ0l8g3379/nIxqHhoaiRo0a+gpEEAEIKTcEQRAEQQQV1C1FEARBEERQQcoNQRAEQRBBBSk3BEEQBEEEFaTcEARBEAQRVJByQxAEQRBEUEHKDUEQBEEQQQUpNwRBEARBBBWk3BAEQRAEEVT8Pz+gVgbV2IBbAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"preliminary = lc_2a.occ_detect(n_detections=5, plot=True)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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kOyBuwXG8vlLK6549e9ymb7FY0KBBA379559/1m3OLn9QbjyVoaCgwGW3i9iLk9vP1V0u6KGY1VCu0iPMR0xZnzt3rqRiIGwTtLoXFosFY8aM4dMXy8fd83b8+HE7y6djmd1dJ0dlytXHn9lsxssvv+yUhpz6MHHiRLfd4mp+NPhD/RFFFS+fAEIvh+KmTZvyTlc5OTn8/8uXL2uWJ5eHcGnXrp3ic7hF6KD28ccf8w68nDOemFPq7NmzVXXWFKbFmLTjtNji6IDsqZOzMM2FCxe6Pa5Ro0ZOstSqVYuXQ0xuV87cGRkZoo59aWlpomn169fP5XVxdd2EjpajRo2yy1fKcVp4Drdt1qxZdnI6npednc2sViu/vmHDBsX3Rezau1q4+z948GCPHC3V5M6dO7wMBw8edHu81PXmcOVk6lhnHO8/9+y5c7gVIhwwIZX3+PHjXT4rjDHWvXt3p2Pk4qrMUvu4pWHDhk7pnTlzxmVduX37NmPMvWMyR7du3dzWH2G937Jli+xrIXyG5SxKcHf+xYsX+e3+5FBMyo2PaNasGf8ACL3jL126pFmeYg9l//79JY8XjnqQavC44xz3S410OX36NH/MkSNHVCsTJ4+cUUncMnv2bMaY/MbInQzA/5SbvLw8tnr1arZ69Wr+OgkbTkdZOOVm9erVki8CLl1HJUxMuZFSksTupeMyaNAgl/u5az1y5EinfNPS0lyew61zyo3UPdu+fbvTC96dAupqv9xnwmg0svvvv9+jRl9N3Ck3wrLKGZ0k9eLcv3+/rDqTkZGhaPSk2WzmjxN7Fo1GI8vNzXXKZ8yYMXbpeKPcSD1brq4Z979JkyZO1/rgwYMur1F2drai0YuOyg1jzvVH2BYpUW5eeOEF2c+80ufc3fkXLlzgt//+++9211DtEXqk3LhAL+WmRYsWog+Jr5WbZ555RvRYx6/pli1b2lVWYaVz9xUkrOD5+fn8tn///Ve1MplMJllyCJfMzExVhrwLz124cKGTxcRgMNg1WlLKjZSlhRteLqWEffXVV06NjNJrIdXIu7p2YsqN4/VwPIf7zyk3UnKuXLmS3b59m1+fOnWqSwXUnYKqpPzCe6DVcGl3CMvuqNw4llXMAsJdb8fzhPvT0tJk110ppdsxD466devaXUOxj5+9e/eKPuvCYeHeKDeMMfbaa69Jnl+jRg27fIXXx2w2i9Y5V9dJyb1gTFy5YYxJltVT5UYot1QZlODufEflxtuPR1eQcuMCvZSbu+++W/QhOXr0qGZ5iuUnptxIxRyRavDFvoKkKnhBQQG/fvbsWdXKpNRywykMcmJCyJUBAJs5c6ZktxL3X0y5CQ8Pl5Sd6+ITi6mzevVqtnjxYqdGxpXlRol1S2xxZblxvB6O53DrQsuNmJzbt2+3e8G7i2nkar/NZvO4rGo3xnKRUm6kngOp6+2I8Bip9IT3g/uQURK7hjHG6tSpwx8nVcfmzJnj8vk0Go2i7aQSxKwtHJGRkU732fE6uLNyisnujeXG8ToLrR0//vij7GshjGdUpkwZ/v+2bdtE5ebyFloDlVhBhZw/f57f/tNPP2kWL40xinPjl9y+fVt0+8mTJ30qh9hoAqmYIxyeOHWKOQ5brVbF6bhj3Lhxso4bP348zGaz6iHp//33X1GHOndltVqtkk5/SUlJktGQExISkJyc7HSO2WzGkiVLRNNzd41cjQARjsYSK6e7czi4a242m/HUU085nVOnTh279F05WLsbhSdXTjH0mjpASmap50CIwWBASkqKrHpqNpsxdepUft1kMmH69On8+rFjx3gH9ZCQELvjXDncCuUXq2NGoxEdO3YUPVfoePzHH3+4LYMnWCwWuxhfNpvNbtQhANGRg+6w2Wx2Q7ldOcI7XhOxGbeFTt2ePsfCfITTrYjl3a1bN9SvX1/SoVwOQjk/++wzv4lWratys337dvTu3Rt16tSBwWDAN9984/L4tWvX4uGHH0bNmjURGhqKuLg4bNq0yTfCesn169dFtwtHjPgCsQojNqrJVfyM7Oxsl3lIvRDVnF3WZrMhKioKc+bMkXV87969AZQ07sLGyNuQ9BEREaLb3cXDMJlMLq9xbGysYlmkgs/16tXL5Xmu7otwNJbwXroaGeIuEF67du1Et7trzLnJZ92NwvP2OdN7bikhYs+B47PFGMPkyZNlvZQsFgvq1q3Lr+/Zswf16tXj1+vWrcu/+IqLi/nt7u6pu3vHGJN80arJ2bNnnbZx09CIyaQUsQ+jUaNG8evbtm2TFQTS1YzbnIKtZJSj0rI4BnnlzvdWuV+2bJnTNr2mM9FVuSkqKkLLli2xcOFCWcdv374dDz/8MH744QccOnQIXbt2Re/evXH48GGNJfUOx7lOhAgbGr0QG3bYuXNnyePFGlzhy2b58uWIj48HYF/pduzYodoXMRNEs5WDsFHq3r07/9/biLRVq1ZFhQoVnPJavHixnayOmEwmJCQkSKZrNptRv359t/lrbWGQUvpcfeW5UxQ9/SLlAtK5mxlbSfrt2rXTLb6OECmZzWazXWRoThl3RM5LiVNahg8fzm/r0KEDBg8ezK/n5eVJvnTlyp+dne1UHiYRX0vNuDHp6en8R4yQqKgo/Pjjj7LSED4LYh8fAwYM4P8Lg+Vx5OTkyKqT7qKYW61WnDlzRpbMgPI65S5vJcq9u7zHjh2rT3BM73vB1AEAW7duneLz7r77bjZjxgzZx+vhc+PKie/8+fOa5SuWn5RDsXD+IcdFjLJly9r1O7/11ltOfdFpaWl2o6Xw337t8ePHe9wHKyWju2Xnzp18Gt9//71H/fliMnz44YesWrVqdtu4UWHcenR0tJM8ERER7IMPPnB5vVu1amV33cSOdfQVEjvGG2djIc8//7zTfjH/DzF5UlJS+G3vvfee0znHjh1jN2/elCyvWL89t++JJ55gjP3Ph+DYsWOyyxcfH886dOjg9Nz6GmHZDx06ZLdP6GTrOBJPyfMgx/dq5cqVstJ1JCIiwk5Gx/NNJpPofXnjjTfs7rmnPjfu/O/klN3RD2fYsGFOxyxZsoT/P336dLehEIQI52Zz5SPHXS/hqFp312LgwIH8McK2+a+//lJ8PRzrmtgxQhzn4HLMR00n/VLjc2Oz2XD16lVUr15d8pji4mJcuXLFbvE1nnQx+BrmQvvOy8tz2iacPmD27Nl24b+B/31J/vLLL075cHOd+HLWce4rzGKx4Ndff9U0rxMnTsj6enMXOl94T4QzuwuRY2FQa6bewsJCp21yv/Cl5rcS7hdud3yeXHUdVqpUCampqbzfgDBaqztu3bplVz/feustv5tbSui/5eoL2J3FSe69UhIZl0N478xmM2rUqGG3PyUlRdQa8MQTT/D/H3vsMY+/8N1ZQuSUfcWKFXb3vkqVKi6PnzlzpstuJVdtgNlsFvWd4xg7dqxkl7caSPnhcT5DgOuuZym4rmOO1NRU3aY0CWjl5v3330dRURGefvppyWNSUlIQFhbGL8L+ZV9hNpsRHR0tuk+soXcX7dLbUOlKcedjU716deTk5Dhtt1qtknMU+dpx02Aw8Gb5V199VdY5cq7zpUuXnPypnnjiCTtHQbF7bLVaFSk3EyZMED3Glw1HaGioKulIKdLC7XfddZfdPlcKx/Xr1zF8+HA7vwG5ZGZm2j3fVatWlX2umrj6uJBTHjkRneUoue3bt8dbb73ltF1pV2P58uXt1idPnowePXq4TMOxe1cJUlMvCKlWrZrL/fXr10dmZqbsPJV27TjK17VrV9FzjUajnV+gHKSeH6lr4spXcceOHXZTZyjJW+iEHhkZqeuHQsAqN6tWrcL06dOxevVqlxrulClTUFhYyC9iVghfULNmTVnHuZtAUa1Zth1x1biKTUgp/LozGAyiypvJZEKbNm0k0/Wl4+a///4re8ZgQP51fuONN+wcLzncvZAuXLiAn376yeUxcl5qru4bh1qWG+HkiFojp1wcV69e9WqE1L59+zzKVysOHDhg91zKeQ4+/fRTp8kqHXnllVfcplO3bl3069fPabtjmo75OF43x9Ghaj3LUuUzm8149tlnXZ4rnDpBjC5duqBbt26y5XFVr+T4bUml74m1Q5iWOyupK2w2G5YvX243gk1J3kIcJwf2NQGp3KxevRpJSUnIyMjAQw895PLYkJAQhIaG2i1ao8SyInww3E2gKGeCRS2sOnXq1LFbt1gsTkOdxUZCPP/882jRooVkur503LRYLLJn2VVzNnNXrFu3zuV+OQ2TL1/Gjnl56gwqp1tKCe66D5TIo5dyI8x3+PDhqF+/PmbPno3MzEzcuHGD38fVb0fCw8PdKuRyrAFMYji0ME3HYcSzZ892q9zIwWazubz+7sr3zDPPKM7TMX8h165dczpGzvMhNQLz5s2bstLyt25Rd0gNllHro8pTAk65WbVqFRITE/HFF1/gkUce0VscJ7yxrLiL3+Fuv2PeShDOHuyIsBJyeQgbXADIz893Om/lypWSHv/eDsFWyl9//SXbl0DN2cwBz1+Ycs5LS0vzKG1PcJRn1qxZosdlZmbiwIEDkiZ+qa5KT5WMypUr45577uHX3Q3Dd8SbL121cFScGWOYOHEiunXrhv379/PbOb8iR77++msnhdwxjou3YTO4yVQdhxFPnDjRqT24c+eOrDQPHjxol74Ucj441B5qLtZ2yXlGxUZgpqenY+fOnXbraj5rwrSE11FrBWPJkiVo27Ytvy5mxdYLXZWba9euISsrC1lZWQBKAtplZWUhNzcXQEmX0sCBA/njV61ahYEDB+L9999Hhw4dUFBQgIKCAlFHRz0Qq4DDhg1DRkaG5E0XPpTuAsxJxbyIiYkRzdtdfkK5XSlh3DlSsRkuXrwo6XMjth34XwPgK/+hjz76SNQpV0y5kuq/FzbE7lD6gvWUESNG+DzgHMeDDz4our1bt25o166d6EvYYrGIWqwclWOlvmjC+3jkyBG3sgsRNs4XL170qT8bx969e2UdJ/VCXLZsmctAnABcOrAKzxH7UOGw2WyibYujciPXcjNs2DC7vKXw9oPDZDJJ+j1K8d133zlt++uvv9ye59imcO2mkOTkZJw/f16RPI4I64Pw2gkVS1f30lssFguSk5Pt8ubCNQCl3HJz8OBB3Hvvvbj33nsBlHhw33vvvXjjjTcAlNwYTtEBSkZM3LlzByNHjkTt2rX5RanzlVa4iiorZ4SO2WzGk08+ya87WjfMZrOdQ7Rwv7vRAu7kdgX38Erlce7cOUmfG6kXjdls1sx/SAybzSbq/yPWoJrNZlHL16RJkyStDo4cPXqU/y/3K5ZDyo9BDKvVKtoIC9GqkenUqZPsY/Py8pCZmYndu3eLluvUqVOSjSTg2iLq2KVVu3ZtJcXArVu3+P/Tp0/3yfPoiLdf8Ywxt92EciKEM8acRjgKkdsVKbymcpEKdJqeno7KlSu7DNwIuH7OT5w4ocroo3nz5vH/y5UrJ+scKcVMGDFZKY71gTMQOCL2gaEG6enpovGMhOit3PhNnBtfoWWcG3exC8SWgoICuzSEMUDE4gPcd999ovvlzrOUkJCgWO7r16+7zGPevHns77//tttmMpnYq6++KpmupxNYKrm2woWLt+C43Wq1il4PV+nIye/SpUv8/1q1aimSlYspctddd/HbpCYy5JZBgwZJXh/hRJtKF+GcM0OGDPE4He45kHoedu3axRYuXOh0vNR1F87dNXDgQLtYMMKJ/LxZ1JwTxx2O9ceT53v27Nl2109pWwSUTATrao6ytLQ09sADD7hMQ2qmeHdLp06dWOfOnV0+P8J1bg6srVu3sv3797NPPvlEMu3bt2+z9u3bq/JccEuFChVEtzvO07R//37RuE3PPPOM6PkcUnNLKZlTT6uFm2He1TENGjRQvZ6Umjg3/obZbJY01btCaF4Uarvu5icR7jebzXjnnXcU582dO3r0aMn93FeHY2RYDrE4Q5MnT8asWbMUzZmj5eipKVOmiEaDFrNEubJkybWOCctdpkwZWedwiE0j4CqaMVASFXrMmDGi+7zpYhF+Hf79998ep8NdD6nngTFmJ7/jcWLPCofBYLD76ucsv97iy9F8jk77Sr96R4wYgfHjx/PrTz75pOyQB0LGjBkjeY/++OMPJCUloWHDhi7TcOyCkUvFihVx+fJl0X2OMrVq1QoXL17kn8927drZRV52d74aSLUFwjqTmJiIDh06OOWfkpKC1atXe5SvN1Z6tbBardi5c6fTcysczq+35YaUG5VxjM/hjs8//9yuMgidB8Vw1Zftati1O7jpEsQQVkwxT36xh1jK2ZTD3fxAYnjzkn7sscdEG4S8vDxkZGQgIyODT19OzAx3CPNS6n/DKa1KTfsffvih6HZvYjsJfbiEDpFqc/LkSZcNttizwpGdnW0n20cffaQob1f3WomflTc4vvxWrlyp6HzHUaNr1qzB22+/rVgOV/eA+zhwFTTVXRqucIyN44rDhw9j4sSJHn1saI2wzgiHVQtp06aNxzKJtZ16MG7cOCena2GcG1JuggzhAyvnAZwwYYJdZVizZo3ksenp6XY+LI4+AVpFQpZTCR1HW7k7R8wK5G70lDvfIFcwxkR9Dho1aoSEhAQkJCSgfv36SE9Ph9lsxgMPPOBxXlx+3uKJ34IYakU61fIF0aBBA5f15ZNPPuH/C6OoAiWTP3qKwWBA69atJfdPnjxZF4dt4RxGcpHrD+YKVy8k7jqEhYU57VNqnRSDMeY0XFottHh2PRnuzuHNB5SUBV0Mb5WgKVOmeHW+npByozJKK5G7EQ4cUh73woZXzrDqEydOiG53Jbe7Ml28eFFxV0B6erqdFSg8PNxtfAdvlDcp5UZYNsYYf02VWuAcEd5XTxtstYJgqdWwa/klFhkZiWnTpknuF9679evX2z0r3pSvb9++LkfR+Kpryl03nDuOHDmCb7/9Vk2RnGjWrJnkEGalTvNiFBUViX7AqDG5sC+7peRgNpuRmJgoum/u3LmSiirnwnDhwgVZ+biLpeWOf/75x+Nz9bbceK9uE3YIK5Ga/aKufFQ4pUbO6I6DBw/CYrE4KUKuKr+7cpw9e1ZxWZOTk526wjIzMxEbGwuz2QyLxYLs7Gx+HfBuqgEp5cYR7pp6WzGFSue5c+c8SkOt4eRnz571Og2TyYS4uDjNuqYYY2jVqpXk/lGjRvH/Hb9GvQkAWKlSJclROoA+M4R7glp+Ru7ageTkZEnfLm8RC5oHlER3lwoUJxebzebzGCwGgwE1atSQHPItda25SNLdu3d32hcVFaWorZUKxSGXtWvXenyu3soNWW5URivTvasYN4C4ZUcMxpjol6g3lpvIyEjF5k/HL+Lz58/bOeGpPUT87NmzspQbg8GgysvMG/8nTjHyxuwtxJ0zshxycnI0nwDWlaOq8N49+uijds9Es2bNPM6zqKjIpfI3duxYnwSa9KVPiCvkDCe/ePGiJnlLKQFSw5yVMG/ePFXSUcLQoUMl2xKLxYLly5e7PH/z5s1O25R+RHobJkXpc0lB/IIYqa8PbzGbzU7xO4Q+KnI96D15eQsfcDH/gxo1amD69OmK0pT6Ihab24TrKvLG9+HJJ590OZpCyKZNmyS/OoQOc67w5mXFhbSXGjmiFLVenFoGBGOMOY28kIJ7Jjh+++03j/P9+uuvsWPHDtF9nkxgGOjMnDnT5X6TyeTWodhTTp48qUm6APDaa69plrYUp06dktznLkaMv6DU+iIM5kiWmyBDy2jJjo58wgi/cic1bN26tceTsnGBo8To27evojSVTL1gtVqxYMECxVNKCLHZbPjyyy/dHscYw7Bhw5yCyHFUqlTJYxnkwv4b0v7q1aua5yWXqKgobNy4UbP0mcScRlLIscJ5iycTGHqKv7zohEFExRg7dqyPJHFP+/bt9RbBJZs2bZK0RqkxItMXuHK2d4fe5SPlRmW8ncTPFY6z2gq7bzp06CDLPC9l+nfXLSU19QLgmc+DksnhjEYj5s6d67PYDjabTXEIf39Ay8ZE62vPGJOchwzQp6H05QSG/qLcuLoHADBnzhy7KL16Egi+UK6c0d2NiOvcubPa4ijGV6EQtICUG5WpWLGiV+dLNeIWi8XJN8Cx++aPP/5wm/6FCxd4b/wDBw7w/905Errr9lJzRM6gQYPs1seNG+fzoFVS/fNy/Q30iEPhLy9ITzl+/LjkPk8C0hHKefjhh/UWQTZS1tVAICoqymV9vfvuu7Fr1y4fSqQOwlhFeltuaPoFlRk0aJBXYa1nzpzpFIY7Ly+Pvf/++5qG027VqpXkvoKCApchvz///HP266+/KsqPw3F7ly5d7LZPmjTJL8KNK13WrFmjuwyBtGzdupVlZWVJ7ncX6l2LxZeoNWUELYGzeDI9RiAtkZGRqtcTmn5BR7wJUQ84jxjg/Fy44YGu8MZa4GokATf8Vypw1N69ez3qxhFzEP7555/tYjyEh4crClrlLzz99NN6ixBQnDp1yuWEl1LxmbTElxNnejvUmQg8WIBbWt1RUFCgSwBMHtVVKz9H64kzoaLmm5ub69JiMXDgQP6/0Whk/fr100wL5ybNUys9xpjkZJDCL5ouXbrwE9BpVTZa9F9WrVrFzp49K7l/3759PpfJlxNnrlu3Tvd7QAstai/cJMBqoeT9TcqNimzdulXVB+OLL75wud9qtfL/x44dq7mZU82uoSVLlijKV03Fihb/W4xGI5s7d67k/lOnTukil9qNsxRKu3VpoSUQFrU/DqhbSifUDnJ24cIFl11NTGDWXLBggeZmTjWdepXMHOwY14QIPmw2GyZMmCC5390oHq3w1WgRuTF+CCJQqF27ts9CKYhByo2KmM1mtGvXTrX0xowZ43K4oFCZ8fVoIm9Rqoj5Iq4JoS+u7nGnTp18KMn/8NXEmVp/mBCEr9EyLIocSLlREYvFotp8QEBJg7dy5UrJ/Xl5earl5WuUDhPUY2g14Vtc3WO9lHdfTZxJEMGGMFqxHtAbQyW4UU179uxRNV1XX7OBEMRKCrFJ4Vzx7rvvaiQJ4Q8YjUZFXZW+wlcTZ5Llhgg29H6mSblRAVfRe73FlSUo0LqihLga9iuGN/MHEf7Phg0bMHjwYL3FsMNkMimaJsQb9H4REITayJ0SSCtIuVEBuZNWKsVgMGDx4sWqp+sPVKtWTdHx7mbQJQKbiIgIv3OqzcnJ8ekUDAQRTGg1ibRcSLlRgdjYWE18Qt59913Ex8ernq4/oLezGeF/+Jv1wpcjPfyt7AThLRaLRdcgfqTcqIDZbMY777yjeroTJ05EvXr1VE/XHwjkLjVCfZjCWcEJgvB/1PZBVQIpNyrRpk0bvUUIKEi5IYSUdsWmtJefINSGlBuVUDuAX7BDjTkhhCw3BBF8xMXF6ZY3KTcqoWckxkCEXmSEI6X5mSjNZSeCk4iICIpQTJQ+fv/9d71FIPyI0m65Kc1lJ4KTiIgIXfMn5SaA6d27t94ieMy3336rtwiEH0Evd4IILsqVK6dr/qTcBDC3b9/WWwSCUI3SrOCU5rITwYnSKXbUpoyuuQcZvQBMAhADQL0ZpsSxASj344/8+h0v0rGi5EHQ91GUDzfOivsukFt2rqzlUHJ/bqGkzHqV29NyKEk/EO7tVQA3Fi0Ce+01DADwCoBakCdzMYBzAGoAqIySa+jtPbX9N00sWwYkJnqRknxM+fn4AEBvABUUnOfuHhcDuASgOv73nOlFsNRbT1Badn+tu3LLUQwg+++/gQMHgLZttRdMBAMrZZ8MV65cQVhYGAoLCxEaGqpewp06ge3e7VcPIkEECgwlDacR/tOYMwCGRo0ArSfOTE+HbcgQMqMTQQcDYBg0qORDQQWUvL+pPqnBd98BpNgQhMcY4F+KDVAiCzt+XLWGWRSLBYwUGyJIMQBgy5eXWHB8DNUpNfjhB70lIIiAx58UGw4DgBtffqldBtnZflluglALAwDs2uXzfEm5UYNevfSWgCACHn/sH2cAclq10i6D2Fi/LDdBqAUDgE6dfJ4vKTdq8OijuHrPPdRIEYSHcD43/lSHGIBjAKqMGqVdJmYzDGlpoMlIiGCE97nRwalY19FS27dvx+zZs3Ho0CHk5+dj3bp1eOKJJ1ye8/PPP2PcuHH4/fffUadOHUycOBHDhw/3jcAuWJKYiJ9eeQUTUTJaSusLK/RaZyjxrPc0HX/0yneFp2X3t1EXat1DV+kHwr29CuBwhw5ouXw53mrSxKPRUtUAhELd0VLzAHROS0OS1lFWk5LQcvx4DLt8GY8CqKjgVLmjpaoBCPFaUO8IlnrrCUrL7q91V245igEcBNB3/37dRkvpqtwUFRWhZcuWeOGFF/Dkk0+6Pf7kyZPo1asXhg4dipUrV2LXrl0YMWIEatasKet8LencuTNeAUDeNwShnLUTJ4Ixhs8AfKa3MP/l5MmTaNCggU/yyrXZMAbAGJ/kRhC+Ie3IESTppNyA+QkA2Lp161weM3HiRHbXXXfZbUtOTmYdOnSQnU9hYSEDwAoLCz0R0yUoUWZpoYUWhcsHH3zA/vrrL93lEC63bt1SvY2QomLFirqXlxZa1F5MJhPLy8tTrZ4oeX8HlM/Nnj170L17d7tt8fHxOHjwoGS03uLiYly5csVuIQjCv6hTp45olN7WrVvrIE0Jn376qc/yunNH7RCOBKE/VqsVx7SOEyVBQCk3BQUFqFWrlt22WrVq4c6dOzh//rzoOSkpKQgLC+OXevXq+UJUgiAUEBERIarcHDp0SAdpShg5ciQsFotP8iLlhghGTCYTYmJidMk7oJQbwHm+Cq5BlJrHYsqUKSgsLOSXvLw8zWUkCEIZzA9nBfflV6fNRuOliOCjffv2MGvtkC9BQCk3kZGRKCgosNt27tw5lClTBjVq1BA9JyQkBKGhoXYLQRD+hZRio/fke5UqVdI8j/T0dM3zIAg92L17Nw7oEJ0YCDDlJi4uDlu2bLHbtnnzZrRp0wZly5bVSSqCILzl3LlzogpO165ddZDmfxQVFWmavsViwdChQzXNgyD0ZJcO0YkBnZWba9euISsrC1lZWQBKhl5mZWUhNzcXQEmX0sCBA/njhw8fjlOnTmHcuHH4888/8emnnyI9PR3jx4/XQ3w7fNU3TxDByDPPPIOvv/7aaXuzZs10kKYEX/gLZGdn+113HEGoSScdohMDgK5DwTMzM0WHjw0aNIgxxtigQYPYgw8+aHfOtm3b2L333svKlSvHGjRowBYtWqQoT62Ggm/dulX3YXe00BLIi9FodNo2ZswY3eRZuHChqm2EGHl5ecxgMOh+7WmhRYuFe5erhZL3t9/EufEVWik37733nu4PEi20BNuip3Jz5coVVdsIKdLS0nS/zrTQosWiNkEb58ZfsVgsmDx5st5iEERAI+Y8fPXqVR0kKcFXXc1JSUk+yYcgShOk3KhAdnY2DeX0MyIjI/UWgVBI9erVnbZx/nh6cPz4cd3yJrTDaKTXXmmA7rIKxMbG6j5klfgfJpMJ5cuXVz3dbt26qZ4m8T8uXLjgtO3w4cM6SFJCdHS0bnkT2jFjxgyYTCa9xSA0hpQbndGikpVmRctoNGLx4sWafJ01bNhQ9TQJ/4XRKKagpF+/fsjJyUH//v31FoXQEFJuVMDfhnO+9NJLeougGykpKZr5MGzbtk2TdAn/5OTJk3qLQGiAwWCA2WxGVFSU3qIQGkLKjQrExsZ6bCmwWq0qS1O6LTec38alS5dUT1uvCeAIfWjQoIHeIhAawLXVevpzEdpDyo0KmM1mpKam+o2j2vz58/UWQVdmz56tiXJDlC7q1KmjtwiEl4h96BkMBlgsFmzatEkHiQhf4R9v4yAgKSnJb7qD/KmLTAwtlcCNGzdi0qRJmqUf7JRmq58jvqxHpem6e+tnGBISIvtYsetqNBp1dSUQytSrVy9dZCgNkHKjEhaLBQsWLNBbjIAgNTVVs7TXrl3r98qdv2IymZCQkKBb/mJK75gxYzTL75133nG539+UmxYtWviNddgb9uzZ49X5SuYRtNlsTtfWYDB45UrgLUKfQHJq1o7Aryl+AsW6kY+WQcsYYy4brWrVqtmtV61aVVEjFwwvFzEyMzORk5OD9u3b6ybDu+++67Rt4MCBqFWrlttzExMT0aFDB0X5uZuTzt+Um8aNGyM1NTXghzF7+4zdvn1b9rFi18poNPKuBHpQpUoV/n9pstj5muBsqXVAzy8BR0pzhTEajaIvSQ5HX5yKFSvK9pcyGAy6NYha06VLF5jNZl0VdKnRK3Je5tHR0U6Kqzvc1ZNffvlFUXreIKfOMsaQlJSEnJwczJ071wdSeU+TJk2ctnmrNBYXF8s6zmQyiYaF4K61XpGhhfe6NLfVWuMfb+MggPsS8IevqrFjx+otgm4899xzGD9+PFq1aiX7nKSkJNEZqR3p3bt30IfK17NLTyyIn9zG32AwqP6i2L9/v6rpuUKucgOUtDX9+vXzixdjuXLlXO7/559/vM6jTJkyis/hLJFi9VXvj1BSbnwDKTcqwn1VffbZZ7rK4asXlD9+Pd5///0AgKKiIkXnRUREuD2mNPjy7N27V7e8a9So4bRNSeOv9EXh7vg2bdooSs8b5MgutKqZzWYsWbJE95ejO0VBjTrjSRqcJVIMva/Zb7/9xv+/ePGijpL871r4w0e52pByozJms1lR379Yg+4t58+fVz1NMfr166f7V5AYFosF2dnZovuqVq3qcbp6TeLoq2tssVhkWbC0wGg0Ii4uzmm7nsqNEuuft8jpDnR8ySclJek+nNmd4iE1FFvJvVL7o0LvNmvz5s38/7Nnz+omh8lkwr59+3grl1JWr16tvlAq4n9vpiBAywZZDmITEGqBP3XFCZFSbIASHxsx5DSgYt0mWmMymbB371707t2b36ZV46zX8Fij0YjU1FTJL205qNEt9eOPP2LevHn89fXVtbBYLLhz547b48QUoJo1a2ohEgAgIyOD/y81r5o7uR966CGn+/Luu+8iNzfXY7m8VWL1ttwInyuhFUcMb+qEK7hpatq2bevSyuWKjh076q4ousJ/JSsluPP8d9enLYbQG19ruK44f8KVc7ecL+S2bduKbv/tt99gsVi8kk0JBoOBb4Dq1q3Lbz916pTqeVksFt0mgP3yyy8lfZl8+aHQpk0bvPzyyz5Xblwp40LE5NEiwjlHv379+P+PPfaY6DHu8heL8jxlyhS7dXeWbmGdHTBgAHr06OHyeFfnA8CqVasUna8l69atc7lfq/ZGjYEDeo44kwMpNxqgpJEtLCx0ud8T5cbVg7to0SLVTdlafV14AmPMpUXJ8QVx48YNpwbk4MGDkmn7cgoGKcdDT6+3KwtbVFQUNm3ahMcff9yjtD1FqjuKQ6wuSZXDW+WGO5/79ZVyI1epFJNHaDmRW36h4n/33XfLOuenn36SdZwjZ86ccZLbarXaxQRT4ufVoEEDSeurGBaLxak9HD9+vE8/UvyV5ORkr66DxWJBUlKS30byJuVGA/Q2e7pSmB599FE8+OCDquaXnp6uanrewA31lrIoXb9+3en4+vXr47vvvuO3Sb3UDAYDYmJi1BPWDTabjW+AvDX/GgwGpKSkuM2rUaNGXuWjlHfffdetsuZYn3JycvDQQw85HaOWRcvXyo3ZbOYd4V0h9tEitJyMHj1aVn7C+lq/fn3J4+bMmcP///bbb0WPcfdcfv/99073z2g0ejwYQWnbKmYVs1qtATNPnJbvEm+vA3du+fLl1RJJVUi50QA1H0hPGtiPP/6Y/+/4lWs2m1WVz2KxYNiwYaql5y2vvvqqS2VLzCmYMYb33nuPX5dqsFu2bOlzKxXXAHl7z1avXu129I/VatXcGZ17Ho1GI9577z23gfTEym02m50C+xUWFno9EaJelhtAPB6MI+4sN8Lu1P3796Nr166i6QgHMbiKGTNhwgS3Mr333nuynk3uvptMJowbN87jbhGl9UCsi9pkMmn2kTJ69GhkZmYiNjZWlfReeeUVRccr+Qjy9jpw57oaqq+nhYyUGw1QU3lQEmqcQ9gIOoaYT09PV1U+f4vMzBjjrR1yfRkA+69iqX7kevXqeS2fUrgGyJt7ZjKZEBcX5zbQpMlk0twZfeLEicjMzMSpU6dkvTylyu34ovfE2Xv27Nmieemh3MhBrJ4JLSqDBg3i/9euXVsyvIGwXDdv3vRKpueeew4jRoxweQxjDKtWreJH5bz00ktOz6HRaJQdSFNOXeA+cMQmNZ43b55mHykfffQRjh8/jkqVKqmSnti1EmPSpEnIzMzEhg0bnPbVr19f1Hq2ePFir64Dd64r5SYqKko3yz4pNxqgpvLgSQArIY6TSHrbz+qIP0Vm5uCsHUq+noRlEDq3CpVLX7/suAirSq1td911F18eYRpiDoDCOBeLFy9G5cqV1SuACO+99x5iYmJkN6piQ2UtFovTvQgPD1f8HE6cONFu3d+VG0d5LBaLXfeOUPmJiorCiRMn3KajxuCDW7duudzPKdfcqBxHnziTyYTU1FRZIy8NBoOs+yJs55KSkpCZmcnvEyqB3iBWJ7nuXXfXhMPdMyt3ROrMmTPRpUsX1K5d22lfeHg4cnNzkZGRgUWLFiEjIwOnTp1SHJBUqg26cuWK5DnCrnVf419vJQJAyZcFh7cNrOPXntVqxb59+7xKk8NisYh+GWmFEodJJS9Qo9Ho9KITy9PXcw2lpKTwDZAS5SYmJganTp0SjdIq/L98+XLk5ubaHad1GZX283fv3t0pIGNUVJRTGmFhYV6P3Ag05caV1dRms0k6xgvPkWthcPVyDQ8Pd3memIWA84kTPnvCbVJcvXoVJ0+etNsmVjccnzNhN6a7tiosLExWfYuPjxdNy2q1iio3wi5ZjnfffdetPHJGpDo+u45wUa2HDx+Ofv36qWa5slgsbhUXvXycSLnRAVcVx2Aw2PWjqx1bxWQySTbaUpVMSl7O5JiUlORxZFs5kyJyyI0YK/ellJGRwX/FPProo27T8qT7zWg0YtGiRYrPY4xhypQpfMOhRLnhJgZ0F7+iRo0aTsfJLaPRaMT48eOxf/9+DBkyRLZsSvv5bTYbLl++7LRN7MWt1tQYeig3cvJyvDfurKZSaQq3u1JaTCYT3nvvPZdB3gwGA8LCwpy2ly1b1uUUCABEn1FumxRz5sxxmvOLMSZaP6SUO3d1KSwsTNYHYIsWLbB3715Rnx4xJ1tOcevTpw+/bdKkSW5npwfsR0hy8gvz5ba5G1ruDWLPk5yufy19nFxByo0GuGuoHPcLK9u9997r1JWkFKnKy31FderUSXSflIIiVR6hyfHatWseyaqk201uBZE7ZDsuLk70K0bqS0SpcsOZ24cPHy76AnCH8IvHVzOXuyuj0WjkFcLZs2ejbdu2knGBxHjnnXckFS4lffNidchb07e7r1+9cSyzuy4LOf5KwmdF+EKOiYlBTk4OJkyYgC5durgMHyGWT7ly5TwODucJDzzwgNO2yZMn88+EVJnFMBgMsp/ptm3bOnWxLV68WDSEh9lsRkxMjJ0CYrPZ7OL+PPLII27z7NKlCzIzM+3S4Z7/6dOnOx0vt4vME+T48Xnr2+MppNxogJKKBNg3DjVq1PDaQVdMGZk3bx7/FSXmGLt48WLR/lpH+RwR+rdo3TUlVxFy9aUgLIvQ2U04FFw4O7XwWnL/5bz8HL9ahbE5xGYpFrt2wnIotdzIQew5caWYc7Oie2PWdrTCcCgddSd2PZQ4kAPi90H462/dUjdu3HDaJuzKmT17tt1LVsrSKWxfhIqR8H+VKlX4e+xvIyLF2LFjh9M2qe4Qd3XJcf/gwYNdHi/WxSaVh1hXonA4v1QbLKRChQro0qWLndXbYDBIdlPKnUXdE9y5JaxatUq3yYZJudEA4QP2448/un3ZODY27o4Xi/opxLFimUwmPPXUU3xjJVbxkpKSJF8OLVu2lMyLewE7fkW6KoOnX9hyp3mQsg4Iw8kD/7M8HThwwG4ouPB+CLsIlbzsHL9ahdfc8Wv7tddew6lTp+yiwDp+8QjPF8YfEUPsJSgXqRcfAIwaNcrrhmrWrFmi91+qYTYajahWrZrdNpPJhNatWzsd662C7e/Kzd69e0WtW1xXzvjx4+1esg0bNhRNR+rjS+raufLtOXPmjNs8fIHNZnM55Fsoj1LlRuo6CpHTDcxFAReTk+Ovv/6y2+fKmulYJqnnX04cGlf5CBVmIUKHbanuOVcBOrWGlBsNEDYE7dq1c+vtLqxMGzduxIABAyQfKACyRrQ4mknlfGlLpfvrr79K5iFMW/gF4yrEudAyogS5lhupL9bw8HDRaKk7d+5UNHGht90WSUlJOHz4ML/ep08fmM1mPPXUU/y2PXv22CkSwjlo3A2h3rBhg6wuHrEXkPA6OPpZOCoZHEonQdyzZ4/TdqmG+csvv7RzeuVe3I4KvsFgUBwO3vGe66ncyM3L3cgTOS9ZKZ8b4fUXHuNKaWzTpo3oBIrXr1/36RBgk8mEd999V1a7J6dbSgu4KOBi3Vgcu3btsjtH7kgj7vl/6623nPa5i3LvzjInVJiFCC3fUt1zekavJ+VGA4SNptFoRFJSkl2D7lh5HBu2lStXYs+ePcjMzBR1NnM3H5VjXAk5X9uu/GbEGl7H0TwcXOPqalI1T7vd5FhuXHVJSX013X///bK++Dm5lXY7iiGcK4p7Hn788Ud+W4cOHfiGw2KxKJ4yw9Phl8KyOTZMWk17wOUl9hHgaDXkXtxSyoASy5K78vib5QZQZ+TJv//+y/+XY7lx5dtjs9mcHHw5PH0G3SlFYpbpxYsXO1mupJ6F06dPK5ZJjhzu4CzF8fHxknKKfXxJ3W9h/tx1TkhIUCQT4D5WmZSTt81mw7Bhw+wsOHKuv68g5UYDhA9Kfn4+ANjNv+Gu0bRarSgqKkJMTIyoc/Hff//t8nzHuBJyqF+/Pg4ePCjawIltcxzN44gWk6pJWZA43H0tiMXX4CamlBNLQqwBkDsrursRchaLBStXrrTLSxiMUOmLVs5LUPiSE+YrhRo+VQaDQdJUzTWOK1ascJuOK6d8V0h9MYul4Y/KjRojT8aMGcP/F3Zhurq/3L1RMmmlJ4qYxWLB0KFDJfebTCbcd999/Lrji1TKcrVmzRr+f6NGjVwqUI51wJPnQOp55K6JlJxiipvU/V6/fj3/n7OieFJH5Xbn7t6922mbzWaz+3CXYzn0FaTcaICwIsXGxjpFBXb3IHEPtKfRf8eOHeu279cRTlkRmnaBki8BKYcxd41XUlKSqvOOuBtu7vi14NiAccPWxb4uXDlmcoh1S0nFoHD3xerYiEk5GnLO2kq/EqUaReE1GTJkiNM1EjbkjvuEXWlC3MkmfHbef/99l8+m2WxGx44d3abtqeJhs9n4L3zHL0t/9blR29QvLJewS0lOQLnmzZvLzscTRcyVIs8NioiOjua3yXmROo4i4j4cpHzXcnJyNOtSc3dN2rdvL+t+WywWO6s+V6aCggLFMskNFBhokHKjMhaLBdOmTePXuYdO6HiXkpJi9wAPGjRI9IH2xEHSaDTipZdecnmMlOOw1WpFmzZt7F7WnTp1cukw5qqiWiwW0fDuvqhEYv3InCVE6utCyjGTQypUvVjj4xh23PEl7Tjjt6s5cMxmM3r16mW33VUfuVSj6HhNhFNVcAgVLMc81q1bJ6q0Xbx4UVIWLh+OZ5991uWxgHP8DuFoErE0lcAYswuSKcRffW6UdjF7ipy2JjQ01G7dsf0SbvdEEZNS5B0HRShB6sPBVciN5ORk/r+33a5KlFNuCL6r+y01MspqtUpGpXYH95Hmaq63jh07irZjejoNu4KUG5WReuiEMxb379/f7gFetmyZ6AOtNPovF1fFXQMgNS2B8GXKweXticOYlBLlytnYG4QKhStLiBw4RUfo67Jv3z7Zc3MpCTsudIaVur733nsvf3xOTg5ef/110edi0qRJko2inGsi3C9mnhe7fufOnXNZPqVKgrBcX331Fd+1C/zPmuRptxQg/Rxwvhj+ZrlR2sXsKUo/pMTar/3793uliJnNZixZssTJ0u2NxUrsw8FoNLq0iosp1J6ixA/FZrO57dq5ceOG5MeQt8+I2GztXBvG3RsuX6PRiCVLlvhFF5QorJRRWFjIALDCwkJN0s/Ly2NGo5EB4BeTycQOHjzIr+fl5SlOc/z48cxkMtml67goSdfxXKPRyNLS0pz2f/LJJ06yZGZmyspL6lrk5eXx63Xr1nVZJqULl76rvJVcd7E0hNukrie3ZGZmMsYYM5vNdudcvnyZXz969Kjb6/v666875ZmWlub0TDjeR7n3g2PEiBF2aQmPNRgMotevX79+su9PQUGB2+uem5srKQMn7+OPP263/d1335W8F67KLHbtwsPDne6L1rzwwgt211kol6ckJCQ4ldvVvRHWxVatWommOXPmTK/lkkNeXh7LyMhgGRkZTs+c8HmTi7CumEwm9t577zk9F1LX6q233hI9ZtKkSZL5tW3bVlG7zB37+OOPS8ovzDstLc2pTGlpaXb3h1tatGgh6xpt3brVZRvGoeQdoDZK3t+k3GiA2EOXn5/PPyynT5/2KF3uobr77rtFH0IlcOeMHz9etAHh9i9ZssQjWTnEroUwfXfKzezZs2W/OB0ro1TecpGq7HKVG+FLtF69enaNHfccAmC//fabW1mmTZsmep/379/v9DJ0pcS5uybDhw+XvPbPPPOMU3p5eXlO+bta5Cg3FovF7f197LHH7La5Um6kyixUsoXXrnr16gwAO3LkiFtZ1UKo3PTp04dNnTrVo3otxFG54RQGqfslfEZbtmwpmqavlBtXPPXUUx7J4PhSFvs4ED4j3Pqbb74per1cKTcNGjSway9ctT1iiouj3FIKurBMYsdJpSl1fcTO379/v8wrrD0Bpdx89NFHrEGDBiwkJITdd999bPv27S6PX7lyJWvRogWrUKECi4yMZImJiez8+fOy8/OFcsOYc0USKjf5+flepV2/fn3RB1gJ3Dn/93//53L/p59+6pWsjIlr+lz67pQb4bGdO3d2+bUl9mL35itDqlERNoiO5XFsIDmqVatm19h9+OGH/Prvv//uVpbp06eL3me5X1uO5ZK6Jg8++KCdnMI033zzTafjpfIXLsJ05Dz7Z86ckZSBu7+9e/e22/7ee+/x54s9Q2JllpK9atWqDAD79ddf3cqqFomJiXz+zz//PPviiy+8ViIclRsOR2WP2x8VFRXUyo0Yjgqu8BnxVLmRUprF6psca6rcOu6qLsq1Wiu1BvsaJe9vxT43r7/+umh/ZGFhIfr3768ordWrV+Pll1/G1KlTcfjwYXTu3Bk9e/ZEbm6u6PE7d+7EwIEDkZSUhN9//x1fffUVDhw4oGjiPl/h2G+qZLSUKywWC/Ly8ryWj8Odr4Iazr/eDA8U+qy0bdvWznfJETE/IG/ylvKDcXXNzGazU/+6xWLBpUuX+GNsNhtefvllfl2Ov4jUMa4ckV3JKHZNLBYLtm/fbienkDfeeMNpFIkrp3duck3hEH4mw49FmN7bb79tt4+7v3LSESJWZjHnVYPBwAeLVJqHWmg9t5XjiEEOradP8Ucc64CjzyEgfT9cTbHgiJSflxw/OLl13FVdlOtvyMVkE5ZNif+gP6H4aV6xYgU6deqE48eP89u2bduGe+65x+207I7MnTsXSUlJGDJkCJo2bYr58+ejXr16krMo7927Fw0aNMCYMWMQHR2N+++/H8nJyZKzv/or3jQinsQ8cYW7hlRqLiBf5S+skIwxSSVFq9EkSuaNAUpmQ3Z8iUo1dhzeKDdms9lu6ghvnC/dPVtMZHSVmALIzSTNTa4pDFgoB2H9SEhIsAt/z91frRQPg8Ggu0OxLybuFFP2AkW50fL6OI5ydIVU3C0lHxxyjnU32MDxOHfz1Lnj2rVrioIJ+iuKn+YjR46gQYMGaNWqFZYsWYIJEyage/fuSExMxM6dO2Wnc+vWLRw6dAjdu3e32969e3fRYEFAyVA0i8WCH374AYwxnD17FmvWrHE5k2pxcTGuXLlit+iBUDv3pnKqPUGl2DBeYeV++eWXNQ2j7u4FIrdCajmaxPFF4EpmsXvrbj4Zb5QbABg0aBD/f/PmzR4reHKeLbFGzlEB5GaS9vR+OE4DIBYryfEeeFKnxJQ5m83GK57BrNyIESjKjZo4WiOUWCk2btwoepxcZUTJsXKj/yYlJeHUqVMYP368x/GRPLEG+yOKn+awsDB8+eWXGDNmDJKTk7FgwQJs2LABM2fOVNSFcf78eVitVruZTQGgVq1akoGIOnbsiM8//xwJCQkoV64cIiMjUbVqVXz44YeS+aSkpCAsLIxfxGbE9gXChtKbRkSNyL9CZSUxMdFuXU4sFF/it8MMJRB7MYk1YB988IHLc+Sky1G2bFn+f3h4uBJxXcqp5AtQzcikjsqNWLuihuIh1Yhz11Mv5UYvSqNyI6cLqbCwUPRcJhEaAVA2FYHcY+XWMbPZjNmzZ3s8FYIS5cyf8ehp/vDDDzFv3jz0798fDRs2xJgxY9yGxpdCLOS5VEP+xx9/YMyYMXjjjTdw6NAhbNy4ESdPnsTw4cMl058yZQoKCwv5RU1/FSUIG0q9vswA98qLt/Fh1ED4MnNUqqSULF8qX+6mUhDDsQETWlvkPA+uXjzCifGEs5h7glBOR/8mTxs5YfnkzOsjLKvNZtNMuXHnU+VJtFdP8Yf2oTQqN2Ixv0wmk52rg1QkYwAuXSKUKPxaTFvgTZr+Nk+UJyh+mnv27IkZM2ZgxYoV+Pzzz3H48GE88MAD6NChg13fvzvCw8NhMpmcGpBz5845WXM4UlJS0KlTJ0yYMAEtWrRAfHw8Pv74Y3z66ad2gb6EhISEIDQ01G7RA7UsN+5mcHWHO+XF1ybJoqIil/uFM4gzxiQDA/pLf7A7Z2OusVH6ApNruRFGwvYUsUYxMTHR40bus88+4/+3b9/ebTenJ5YbTxUCMedark3q3bu3T2e25iDlxneITQ6bkpJiF73YlSI9efLkgHO0lYs/zRPlCYqf5jt37uDIkSN46qmnAAAVKlTAokWLsGbNGsmw5mKUK1cOrVu3xpYtW+y2b9myxW5uGSHXr1+X9F3wdxOyWj43ns43xeFOefG1SVLMYVnobOtYVim/kEqVKqkumxSeWG5cHedtt9SyZcv4/0888YRqL2RhOsuXL1c8MzlQoowLR4bJ8WmQo9w4nr9v3z7FsnEIZz0WfjjoOUpEDwVHWO/8vT3Vgoceegg5OTlo06aN7DY2EB1tSwuKlZstW7bYzXDN8cgjj+Do0aOK0ho3bhzS0tLw6aef4s8//8TYsWORm5vLdzNNmTIFAwcO5I/v3bs31q5di0WLFuHEiRPYtWsXxowZg3bt2onK5E+oZXb21qFYjvLirybJq1evSk7y1qFDB12+sh3xpFvIm24pi8ViNw+OWi9ktXyvPOnmdKXcWCwWWCwW/P7773bnrFmzBhaLxatnwB+6ZIGSjzhfIbxef/31l8/y9UciIyMVz+kXiI62pQVV7ZBKnRkTEhIwf/58zJw5E61atcL27dvxww8/8F0R+fn5djFvEhMTMXfuXCxcuBDNmzdHv3790KRJE6xdu1bNYmiCULnxputAjRlc5Sgv/miS/PTTT/mZvfWMxeCojAhfECdOnJD1glXLcqPVC1mtdD3p5nT0ufn333/59aioKCxYsMDpHMYY9uzZI9plK/eZ0HOUyD///MP/z8jIQGZmpuZ5etvFHWxwbbTcNjZQHW1LDUojBBoMBmY0GiUXf8dXEYodSUlJUTXiIxdxNS4uTveIoZ7AyVy1alW3UYeFCxdp05PIvGoREhLC5+fpHFbXr1/nj9+1a5fbPOfMmSN6n9WYQ0sMNdNVOg3GrVu3+DxXrVrldI+5tka4zWAwsNWrV3v9TAhD4fsqMqvYFBbC8nl6L6UiFHO4imjrzxGKn376aVVl4NJ69tln7bZz01U4PmtGo1F0yhpCezSNULxu3TqsXbuWX1avXo3Jkyejdu3aXg9RDlYsFgumTp3Kr6thZeAsKyEhIWqIqBuVK1fG3r17RWftfeONN5yO56wH/hKLYffu3R5ZOIR+Mp07d3Zr7XEVxE8LHyk101XazSm8Ns8++6zTfpvNhnHjxtnd/379+qFjx46i3QlKnomkpCQ+6OA333zjky5ZqXg7HEoCyynBVfdLcXGx6vkFGmazGf369XOqB6mpqejXrx9ZbPwdtTSqzz//nD322GNqJacZelhutLQyPPDAA7p/SXkCJ7PZbGaMiX/du7MeeDsxpqeUKVPGzmKgZOJKxjyzisybN8/lfdZqpl5fzwDsavI/x2slnH9p7ty5jDHxuXGUwk16uGfPHrWLJ4qcyUc9sZq5s9wwZn+9HGUQq0/+YLnxZFZwV3BpOVpuhOg5EzbxPzS13EjRvn17/Pjjj2olF1RoaWVgAT6qgZNf7OvenfVAD8dni8Vi5zTMya/EwuGJP4s7vxytfKR87XslNRqQqz/C6xsREeF0HPdMCFFqIfX1SCWz2Yz27dvz62LWFK0cm7nrlZGR4VTuQJhPyFfy+aMPIuEaVZSbGzdu4MMPP6QbL4GWw6sDXbkRItaAuFNg9Hj5OsIYw6pVq2QrWZ4ou3oGfvQlUtdm7969sq+v47PgabeOL+sWF0xu+PDhot20Wna5ms1mhIeH+8VIMTmcPHmS/69Vlx0R+ChWbqpVq4bq1avzS7Vq1VClShV8+umnmD17thYyBgVaWRm8iXkTKPjTV5PUyzcuLk5RNFKlym5pCbAmdW3atm3r8voKlT9v5gsSpqXHh0OjRo3Qtm1bVT6GHOV3VX5/8WFzh8ViwaFDh/j1QJ2xmtCeMkpPmDdvnl1DYjQaUbNmTbRv3x7VqlVTVbhgw2w2q/6CDnTLTaBZJLiXb3JyMqxWq8cvnqSkJMTHx+PYsWOIiYlxe36gXSdvkHttXA2Pd4SzQsi5T/5wrZU+H3KIiopCamqqZOgHNZ5rrRFzvlZyb10R6G0pYY9i5SYxMVEDMQhPEVZIi8Xid41RMKLWi0eJsusPL1xf4s2HAGeFEFo1PbFC+PJlx+UlvM/efgzduHHDbp2zcsTHx4umq4VCpTZq3VsxSLkJLmQpN0eOHJGdYIsWLTwWhlDO2bNn+f+uvsz8lUBtULSwwrmitCk3SnFUCryxQgTLtb569arTNndWDl8/10rR0sLky8jQhPbIUm5atWoFg8Hg9kVkMBjs5ichtMVisdiNDHH3ZUYELsHywvUValghAlXx5qhcubLTNn/0o1GKmhYmoTPy+vXr+QjoROAjS7kReqcT/oOW/c++gl7a8qDr5Iy7KSw8tULo6VCsJhUrVrRb91c/Gk9Qw8IkNv0EfRwGD7KUG26uJ8K/0LL/mfAvSstoKX9AD0VSzOdGTTZu3IhmzZqp+tIOdB8/V/GmArlcRAmyW8wHHngAly9f5tfXr1/v5LBG+BYt4+f4Ck9m0S6NkOXG9wS65UbIgw8+qEq7IByGHegxZgJl+DvhGbKVm507d+LWrVv8+vPPP4/8/HxNhCLko0eUXm8RNogFBQUB3UD6ClJuXKPm9QmWbim1sVgsWL9+Pb8e6DFmguHjkJBG8VBwDqr4/oO/j3AQQv3cnkHdUs5opfCRIilOMPj4ORIIw98Jz/BYuSEIT6B+bs9wjMBL10p79PiA82eFLVh9/ALp45CQjyLlZtOmTQgLCwNQYpL86aef8Ntvv9kd89hjj6knHRF0BGsDqTXbt2/n/wdiPCOt0aJbypcEgiU8UKIYEwSgULkZNGiQ3XpycrLdOsW5IdxBDaRyLBYLli1bxq9TPCNtIZ8baagbhwgUZCs3pWGCRsI3UAOpjGD0dVADrS0swaTcqHmtqBuHCATI54bQBWog5UNdee4J9G4pf8ibIIIJGoJBEH4ODVnVBz0mziQIQh3IckMQAQB15Tmj9ciiYFI4yCJElDZIuSGIAIG68qQJlm4pgiDUgbqlCIIgRAgmyw1BlDY8Um4uX76MtLQ0TJkyBRcvXgQA/PLLLzh9+rSqwhEEQfiaYJw4k6xRRGlDcbfUkSNH8NBDDyEsLAw5OTkYOnQoqlevjnXr1uHUqVNYsWKFFnISBEHYIXxh09xSBEEIUWy5GTduHBITE5GdnY3y5cvz23v27GkXRZUgCCKQIeWGIAIXxcrNgQMHnCITA0DdunVRUFCgilAEQRB6EYxdOMFYJoJwhWLlpnz58rhy5YrT9r///hs1a9ZURSiCIAglBHq3lNY+NwRR2lCs3Dz++OOYOXMmbt++DaCkMubm5mLy5Ml48sknVReQIAhCDJp+gSAIKRQrN3PmzMG///6LiIgI3LhxAw8++CBiYmJQpUoVvP3221rISBAE4TOC0XoSjGUiCFcoHi0VGhqKnTt3YuvWrfjll19gs9lw33334aGHHtJCPoIgCLdo8fImyw1BBC6KlZucnBw0aNAA3bp1Q7du3bSQiSAIQjfI54YgAh/F3VINGzbE/fffj8WLF/MB/AiCIHwNBbyTTzCWiSBcoVi5OXjwIOLi4vDWW2+hTp06ePzxx/HVV1+huLhYC/kIgiDcQt1SBEEIUazc3HfffZg9ezZyc3OxYcMGREREIDk5GRERERg8eLBiAT7++GNER0ejfPnyaN26NXbs2OHy+OLiYkydOhVRUVEICQlBo0aN8OmnnyrOlyAIQgyychBE4OPxxJkGgwFdu3bFkiVL8OOPP6Jhw4ZYvny5ojRWr16Nl19+GVOnTsXhw4fRuXNn9OzZE7m5uZLnPP300/jpp5+Qnp6Ov//+G6tWrcJdd93laTEIgggCAj3OjWPegZIuQfgrih2KOfLy8rBq1Sp88cUXOHr0KOLi4rBw4UJFacydOxdJSUkYMmQIAGD+/PnYtGkTFi1ahJSUFKfjN27ciJ9//hknTpxA9erVAQANGjTwtAgEQQQwwRTnhrrACEJdFFtuUlNT8eCDDyI6OhrLly/H008/jePHj2Pnzp148cUXZadz69YtHDp0CN27d7fb3r17d+zevVv0nPXr16NNmzZ47733ULduXTRu3Bjjx4/HjRs3JPMpLi7GlStX7BaCIAgpyMpBEIGPYsvNm2++iWeeeQYLFixAq1atPM74/PnzsFqtqFWrlt32WrVqSc5RdeLECezcuRPly5fHunXrcP78eYwYMQIXL16U9LtJSUnBjBkzPJaTIAj/J1i6pQiCUAfFyk1ubq4mDQkHY0wyfZvNBoPBgM8//xxhYWEASrq2nnrqKXz00UeoUKGC0zlTpkzBuHHj+PUrV66gXr16qslPEIQ+BFO3FAdZjQhCHWQpN0eOHEHz5s1hNBpx9OhRl8e2aNFCVsbh4eEwmUxOVppz5845WXM4ateujbp16/KKDQA0bdoUjDFYLBbExsY6nRMSEoKQkBBZMhEEQeihYJCViCDURZZy06pVKxQUFCAiIgKtWrWCwWCwq4zcusFggNVqlZVxuXLl0Lp1a2zZsgV9+vTht2/ZsgWPP/646DmdOnXCV199hWvXrqFy5coAgH/++QdGoxFms1lWvgRBBB8U54YgCCGylJuTJ0+iZs2a/H+1GDduHAYMGIA2bdogLi4OqampyM3NxfDhwwGUdCmdPn0aK1asAAA8++yzePPNN/HCCy9gxowZOH/+PCZMmIDBgweLdkkRBEEohbqGCCLwkaXcREVF8f9PnTqFjh07okwZ+1Pv3LmD3bt32x3rjoSEBFy4cAEzZ85Efn4+mjdvjh9++IFPIz8/3y7mTeXKlbFlyxaMHj0abdq0QY0aNfD000/jrbfekp0nQRDBgdYxYcjnhiACF8UOxV27dkV+fj4iIiLsthcWFqJr166yu6U4RowYgREjRojuW7ZsmdO2u+66C1u2bFGUB0EQwU2gd0tRFxhBqIviODdSo5kuXLiASpUqqSIUQRCEXpD1hCACH9mWm759+wIoqfiJiYl2I5CsViuOHDmCjh07qi8hQRCED6E4NwQR+MhWbrjh14wxVKlSxc6Bt1y5cujQoQOGDh2qvoQEQRAiCC0sgd4txUFWI4JQB9nKzdKlSwGUzOU0fvx46oIiCCIooTg3BBH4KHYonjZtmhZyEARB+AXULUUQgY9Hs4KvWbMGGRkZyM3Nxa1bt+z2/fLLL6oIRhAEIZdg6ZYiCEIdFI+W+uCDD/DCCy8gIiIChw8fRrt27VCjRg2cOHECPXv21EJGgiAIJ7SOc6MHauZNyhlRmlGs3Hz88cdITU3FwoULUa5cOUycOBFbtmzBmDFjUFhYqIWMBEEQPofi3BBE4KJYucnNzeWHfFeoUAFXr14FAAwYMACrVq1SVzqCIAgZqGnxCJYRS8FSDoLwBMXKTWRkJC5cuACgZFqGvXv3AiiZc4q+PgiC8BXBOP2CmgS6/AThDYqVm27duuHbb78FACQlJWHs2LF4+OGHkZCQYDe7N0EQRCATTMqBxWLRWwSC8CmKR0ulpqbCZrMBAIYPH47q1atj586d6N27Nz+bN0EQhC8Jlm4pNfM+efIk/z8qKgqpqalISkpSLX2C8GcUKzdGoxFG4/8MPk8//TSefvppVYUiCILQCz26pdTOy2Kx4ODBg/y6zWZDcnIy4uPjYTabVc2LIPwRWcrNkSNHZCfYokULj4UhCIKQSzBOv6AW2dnZTtusViuOHTtGyg1RKpCl3LRq1QoGg8FtZTcYDLBaraoIRhAEoQfBMMooNjbWaZvJZEJMTIwO0hCE75Gl3Aj7bgmCIIIZPUdLqaVYmc1mtGzZEr/++iuAEsVm8eLFZLUhSg2ylJuoqCit5SAIgvCYQLe2aKFI1atXj1ducnJySLEhShWKh4IDwGeffYZOnTqhTp06OHXqFABg/vz5+L//+z9VhSMIgpCC4ty4hhvVCoAUG6LUoVi5WbRoEcaNG4devXrh8uXLvI9N1apVMX/+fLXlIwiC0IVAV27I/5EozShWbj788EMsWbIEU6dOhclk4re3adMGR48eVVU4giAIOVCcG2dIuSFKM4qVm5MnT+Lee+912h4SEoKioiJVhCIIgtCLYIhzA9h3SxFEaUOxchMdHY2srCyn7Rs2bMDdd9+thkwEQRBu0drCQt1SBBG4KI5QPGHCBIwcORI3b94EYwz79+/HqlWrkJKSgrS0NC1kJAiCcEmwdEupCSk3RGlGsXLzwgsv4M6dO5g4cSKuX7+OZ599FnXr1sWCBQvwzDPPaCEjQRCEzwiGODdASbdUpRaVENoiFNtyt6FL/S6qpU0Q/o5i5QYAhg4diqFDh+L8+fOw2WyIiIgAAJw+fRp169ZVVUCCIAgxgsXCAmijSF3rfQ0NIhvAYDBgdOZotKzZEit7rVQ9H4LwRzyKc8MRHh6OiIgIFBQUYPTo0RTamyAIXdCiWyqQfW625W6DLdJmd11+/fdXbMvdpp9QBOFDZCs3ly9fxnPPPYeaNWuiTp06+OCDD2Cz2fDGG2+gYcOG2Lt3Lz799FMtZSUIgtCcYFBudp7eCYjoe7vO7PK9MAShA7K7pV599VVs374dgwYNwsaNGzF27Fhs3LgRN2/exIYNG/Dggw9qKSdBEETQo5YF6v6692P136udFJxOdTqpkj5B+DuyLTfff/89li5dijlz5mD9+vVgjKFx48bYunUrKTYEQfgcoSIQ6N1SaufVpX4X4Ix9ui1rtiSnYqLUINtyc+bMGT6OTcOGDVG+fHkMGTJEM8EIgiD0JJC7pQDg4kcXURheiNAWobh29BpeHv2y3iIRhM+Qbbmx2WwoW7Ysv24ymVCpUiVNhCIIglDChQsXVEsrGEZhWSwWnDlzBkVHipC/Mh9Xf72K5ORkWCwWvUUjCJ8g23LDGENiYiJCQkIAADdv3sTw4cOdFJy1a9eqKyFBEIQI69at4/+PHj0a5cuXR1JSktfpBkOcm+zsbKdtVqsVx44doxnCiVKBbOVm0KBBduvPP/+86sIQBEHIwWKx4K233uLXGWNITk5GfHy8ai/vQO6Wio2NddpmMpkoXAdRapCt3CxdulRLOQiCIGSTnZ3tNDGkWpYJPbql1FakzGYzQkJCUFxcDKBEsVm8eDFZbYhSg1dB/AiCIPQgNjbWSQkxGAyqWCaCIc4NANy6dYv/TzOEE6UN3ZWbjz/+GNHR0Shfvjxat26NHTt2yDpv165dKFOmDFq1aqWtgARBBATB4AisVhksFoudcsZ125FDMVFa0FW5Wb16NV5++WVMnToVhw8fRufOndGzZ0/k5ua6PK+wsBADBw7Ef/7zHx9JShCEP5Gdne1kWbHZbDh27JjXaQeD5caVQzFBlAZ0VW7mzp2LpKQkDBkyBE2bNsX8+fNRr149LFq0yOV5ycnJePbZZxEXF+c2j+LiYly5csVuIQgisImNjYXRaN98qeUwGwxB/LS8PgQRCOim3Ny6dQuHDh1C9+7d7bZ3794du3fvljxv6dKlOH78OKZNmyYrn5SUFISFhfFLvXr1vJKbIAj9MZvNeP311/l1cpi1x2w2IzU1FSaTCQBdH6L0oZtyc/78eVitVtSqVctue61atVBQUCB6TnZ2NiZPnozPP/8cZcrIG+g1ZcoUFBYW8kteXp7XshMEoT99+/bl/+/fv1+VGDdAcMS5AYCkpCTk5OQgMzMTOTk5ql0fgggEZA8F1wrHyswYE63gVqsVzz77LGbMmIHGjRvLTj8kJIQPPEgQRPAgbCe0sEgEss8Nh9lsJmsNUSrRTbkJDw+HyWRystKcO3fOyZoDAFevXsXBgwdx+PBhjBo1CkCJAyFjDGXKlMHmzZvRrVs3n8hOEIT+CJUPLSbO9CXBoEgRhD+hW7dUuXLl0Lp1a2zZssVu+5YtW9CxY0en40NDQ3H06FFkZWXxy/Dhw9GkSRNkZWWhffv2vhKdIAg/gDGGXjEmLOwVgnKnMlVLNxhGSxFEaUfXbqlx48ZhwIABaNOmDeLi4pCamorc3FwMHz4cQIm/zOnTp7FixQoYjUY0b97c7vyIiAiUL1/eaTtBEMFPo20j8N2zFWEwGMC+GwpkpQFDNustFkEQfoCuyk1CQgIuXLiAmTNnIj8/H82bN8cPP/yAqKgoAEB+fr7bmDcEQZRC/t6ISpd+460sBgCw7AP+3gg06eFV0sHiUEwQpRndIxSPGDECOTk5KC4uxqFDh/DAAw/w+5YtW4Zt27ZJnjt9+nRkZWVpLyRBEP5F9maIqgHHtohtVUQwxLkhiNKO7soNQRCEYmK7Q1QdiHnY15IQBOGHkHJDEETg0aQHrlW9m7d4MAAwt/e6Swogh2KCCAZIuSEIIiD5I24+Hv3iOhbuL8bNvitUcyYmnxuCCHxIuSEIIiBhjOGHY1aM3lAMQ+N4vcXxCrISEYS6kHJDEERAYrPZ+P+Ok0R6A3VLEUTgQ8oNQRABiVYRigmCCHxIuSEIIiARKjfBYrkhJY0g1IGUG4IgAhJht5QWc0tRtxRBBC6k3BAEEZAEU7cUKVIEoS6k3BAEEZBoPSs4KRwEEbiQckMQREAi7JZSE/K5IYjAh5QbgiACErKsEAQhBSk3BEEEJFopNzRxJkEEPqTcEAQRkASTckMQhLqQckMQRECilc9NUVERAKCwsFCT9F1BPjcEoQ6k3BAEEZBoYVlJT09HRkYGAOC9995Denq66nkQBKE9pNwQBBGQCJUbi8XidXoWiwXDhg3j02WMITk5WZW03UFdYAShLqTcEAQRkGzcuJH/HxUV5bWVJTs726mry2q14tixY16lSxCE7yHlhiCIgMNiseDDDz/k1202m9dWltjYWKc5qkwmE2JiYjxOUynkc0MQ6kDKDUEQAUd2drZTV463Vhaz2YzU1FRewTAYDFi8eDHMZrNXshIE4XtIuSEIIuDQysqSlJSE/v37AwDGjRuHpKQkr9KTC/ncEIS6kHJDEETAwVlZTCYTgBLFRi0rS5UqVQAAoaGhXqdFEIQ+lNFbAIIgCE9ISkpCfHw8jh07hpiYmKDoPiKfG4JQB1JuCIIIWMxms+pKDUUoJojAh7qlCIIgBOhhPSFFiiDUhZQbgiAIEUjhIIjAhZQbgiAIAXp2S5HPDUGoAyk3BEEQBEEEFaTcEARBCCCHYoIIfEi5IQiCEKCHckOKFEGoCw0Fl8BqteL27dt6i0G4oGzZsnwQN4IgCILgIOXGAcYYCgoKcPnyZb1FIWRQtWpVREZGkiMmoRrkUEwQgQ8pNw5wik1ERAQqVqxIjY2fwhjD9evXce7cOQBA7dq1dZaICBbI54YgAh9SbgRYrVZesalRo4be4hBuqFChAgDg3LlziIiIoC4qwq+wWCzIzs5GbGys2yjKpEgRhLro7lD88ccfIzo6GuXLl0fr1q2xY8cOyWPXrl2Lhx9+GDVr1kRoaCji4uKwadMm1WThfGwqVqyoWpqEtnD3ivyjCLVQw3KTnp6OqKgodOvWDVFRUUhPT1dLPIIgZKCrcrN69Wq8/PLLmDp1Kg4fPozOnTujZ8+eyM3NFT1++/btePjhh/HDDz/g0KFD6Nq1K3r37o3Dhw+rKhd1RQUOdK8ItfH2mbJYLBg2bBhsNhsAwGazITk5GRaLRfO8CYIoQdduqblz5yIpKQlDhgwBAMyfPx+bNm3CokWLkJKS4nT8/Pnz7dZnzZqF//u//8O3336Le++9VzSP4uJiFBcX8+tXrlxRrwAEQQQtnlpusrOzecWGw2q14tixY0ExczlBBAK6WW5u3bqFQ4cOoXv37nbbu3fvjt27d8tKw2az4erVq6hevbrkMSkpKQgLC+OXevXqeSU3ATRo0MBJ0SSIYMHbbqnY2FgYjfZNq8lkQkxMjOQ55HNDEOqim3Jz/vx5WK1W1KpVy257rVq1UFBQICuN999/H0VFRXj66aclj5kyZQoKCwv5JS8vzyu5/ZXExEQYDAYYDAaUKVMG9evXx4svvohLly7pLZoo27dvR+/evVGnTh0YDAZ88803eotEEKpgNpuRmprKrxsMBixevJisNgThQ3R3KHbsY2aMyep3XrVqFaZPn47Vq1cjIiJC8riQkBCEhobaLcFKjx49kJ+fj5ycHKSlpeHbb7/FiBEj9BZLlKKiIrRs2RILFy7UWxSCsINrf65cuYKMjAxkZGTI8pcRkpSUxP8fMmSI3bqcvAmC8A7dlJvw8HCYTCYnK825c+ecrDmOrF69GklJScjIyMBDDz2kpZhekV94A7uPn0d+4Q2f5BcSEoLIyEiYzWZ0794dCQkJ2Lx5M7/farUiKSkJ0dHRqFChApo0aYIFCxbYpZGYmIgnnngCc+bMQe3atVGjRg2MHDnS5WikpUuXIiwsDFu2bJEta8+ePfHWW2+hb9++ygtKEBrCKRiLFi1CQkICEhISUK9ePUyYMEGxkgMAlStXVltEgiDcoJtyU65cObRu3drphbhlyxZ07NhR8rxVq1YhMTERX3zxBR555BGtxfSY1Qdy0emdrXh2yT50emcrVh8QHwGmFSdOnMDGjRtRtmxZfpvNZoPZbEZGRgb++OMPvPHGG3j11VeRkZFhd25mZiaOHz+OzMxMLF++HMuWLcOyZctE85kzZw7Gjx+PTZs24eGHHwYALFu2jL5AiYDlwIEDotvnzJnj0bBuR+diMcjnhiDURdfRUuPGjcOAAQPQpk0bxMXFITU1Fbm5uRg+fDiAEn+Z06dPY8WKFQBKFJuBAwdiwYIF6NChA2/1qVChAsLCwnQrhyP5hTcwZe1R2P7bXtkY8Ora3/BA45qoHVZBs3y/++47VK5cGVarFTdv3gRQMiKNo2zZspgxYwa/Hh0djd27dyMjI8POb6latWpYuHAhTCYT7rrrLjzyyCP46aefMHToULv8pkyZguXLl2Pbtm245557+O1hYWFo0qSJVsUkCM2wWCzYvn275H5uWHd8fLxsHxpSXAjC9+iq3CQkJODChQuYOXMm8vPz0bx5c/zwww+IiooCAOTn59vFvFm8eDHu3LmDkSNHYuTIkfz2QYMGSVoW9ODk+SJeseGwMoac89c1VW66du2KRYsW4fr160hLS8M///yD0aNH2x3zySefIC0tDadOncKNGzdw69YttGrVyu6YZs2a2UX7rV27No4ePWp3DOfMffDgQTRs2NBuX58+fdCnTx91C0cQPiA7O9vtMUqHdcux3HCQxZMg1EF3h+IRI0YgJycHxcXFOHToEB544AF+37Jly7Bt2zZ+fdu2bWCMOS3+pNgAQHR4JRgd2iiTwYAG4dpGPq5UqRJiYmLQokULfPDBByguLraz1GRkZGDs2LEYPHgwNm/ejKysLLzwwgu4deuWXTrCriygpMF1bKA7d+4Mq9Xq1KVFEIFMbGysWwXDcVi3xWJBZmYm74/DrXMoUW4IglAH3ZWbYKR2WAWk9L0Hpv82kiaDAbP6NtfUaiPGtGnTMGfOHJw5cwYAsGPHDnTs2BEjRozAvffei5iYGBw/ftyjtNu1a4eNGzdi1qxZmD17tppiE4RumM1mxMfHS+43mUx2w7odp1lITEzk1zlIuSEI30MTZ2pEQtv6eKBxTeScv44G4RV9rtgAQJcuXdCsWTPMmjULCxcuRExMDFasWIFNmzYhOjoan332GQ4cOIDo6GiP0o+Li8OGDRvQo0cPlClTBmPHjgUArFu3DlOmTMFff/0lee61a9dw7Ngxfv3kyZPIyspC9erVUb9+fY/kIQg1aNmyJTZu3Ci6b8+ePbh27RpvpXGcZmH58uVO52RnZ/PHS02kSX45BKEupNxoSO2wCrooNULGjRuHF154AZMmTcLw4cORlZWFhIQEGAwG9O/fHyNGjMCGDRs8Tr9Tp074/vvv0atXL5hMJowZMwaFhYX4+++/XZ538OBBdO3a1U5OwP/8pwhCSIcOHWCz2WA0GvHQQw/Jssr89NNPqFevHgwGAxhjMBqNSE1NFY19Qz43BKEOBlbKPhmuXLmCsLAwFBYWOgX0u3nzJk6ePMnPUk74P3TPCLWZMmUK3nnnHU3zMJlMyMnJ4S04DzzwAHbs2IE1a9bgySef1DRvgghUXL2/HSGfG4IgCB/DjbgiCEIbqFuKIAhCgC+6hrgRVxaLBdnZ2XxcKoIg1IGUG4IgCB/CTaS5adMmO4dkbh9BEN5Dyg1BEIQAuUO3TSYTrFarR3m0aNGCd04WcuHCBY/SIwjCHvK5IQiCELB37163xxiNRixevNij9Blj2Llzp6gSlZ+f71GaBEHYQ5YbgiCI/2KxWPDzzz+7Pe7LL79EXFycR3kYjUbcf//9MBqNTgpO7dq1PUqTIAh7yHJDEATxX+TMLQUAn332GT8HnlJmzJiBtm3bIjU11WlfeHi4R2kSBGEPWW4IgiD+S2xsrKzjvv32W4/z6Nu3LwC4nOaBIAjvIMsNQRDEfzGbzejSpYumeVitVn5OKkfOnz+vad4EUVog5YZQTIMGDTB//ny9xSAITdDa7+XMmTNOQ8A5kpOTkZ6ermn+BFEaIOUmSEhMTITBYIDBYECZMmVQv359vPjii7h06ZLeoomSkpKCtm3bokqVKoiIiMATTzzhdj4qgvAFly9f1jT9lStXSg43Z4whOTmZn2iTIAjPIOVGSwpPAye3l/z6gB49eiA/Px85OTlIS0vDt99+ixEjRvgkb6X8/PPPGDlyJPbu3YstW7bgzp076N69O4qKivQWjSjlVKpUSdP0V65c6XI/Tc1AEN5Dyo1W/LICmN8cWN675PeXFZpnGRISgsjISJjNZnTv3h0JCQnYvHkzv99qtSIpKQnR0dGoUKECmjRpggULFtilkZiYiCeeeAJz5sxB7dq1UaNGDYwcORK3b9+WzHfp0qUICwvDli1bZMu6ceNGJCYmolmzZmjZsiWWLl2K3NxcHDp0SHnBCUJFKlSooGv+3NQMBEF4Dik3WlB4Gvj2JYD91/TMbMC3L/vMggMAJ06cwMaNG1G2bFl+m81mg9lsRkZGBv744w+88cYbePXVV5GRkWF3bmZmJo4fP47MzEwsX74cy5Ytw7Jly0TzmTNnDsaPH49Nmzbh4YcfBgAsW7ZMcRj5wsJCAED16tUVnUcQauNp1GE14KZm4GYLJwjCM2gouBZcPP4/xYaDWYGLJ4Cwuppl+91336Fy5cqwWq38RHxz587l95ctWxYzZszg16Ojo7F7925kZGTg6aef5rdXq1YNCxcuhMlkwl133YVHHnkEP/30E4YOHWqX35QpU7B8+XJs27YN99xzD789LCwMTZo0kS03Ywzjxo3D/fffj+bNmysuN0GoiZ7KzYMPPoikpCTd8ieIYIGUGy2o3ggwGO0VHIMJqN5Q02y7du2KRYsW4fr160hLS8M///yD0aNH2x3zySefIC0tDadOncKNGzdw69YttGrVyu6YZs2awWQy8eu1a9fG0aNH7Y55//33UVRUhIMHD6JhQ/ty9enTB3369JEt96hRo3DkyBHs3LlT9jkEoRV6Kjfbtm2DxWIhyw1BeAl1S2lBWF2g94IShQYo+e09X1OrDVDiCBkTE4MWLVrggw8+QHFxsZ2lJiMjA2PHjsXgwYOxefNmZGVl4YUXXsCtW7fs0hF2ZQElpnLH0R2dO3eG1Wp16tJSyujRo7F+/XpkZmZSg074BXoqNwCwZ88eXfMniGCALDdacd9AoNF/SrqiqjfUXLERY9q0aejZsydefPFF1KlTBzt27EDHjh3tRlAdP37co7TbtWuH0aNHIz4+HiaTCRMmTFB0PmMMo0ePxrp167Bt2zZER0d7JAdBqM2JEyd0zX/r1q3o16+frjIQRKBDlhstCasLRHfWRbEBgC5duqBZs2aYNWsWACAmJgYHDx7Epk2b8M8//+D111/HgQMHPE4/Li4OGzZswMyZMzFv3jx++7p163DXXXe5PHfkyJFYuXIlvvjiC1SpUgUFBQUoKCjAjRs3PJaHILzFYrHg119/1VWGJUuWUJwbgvASUm6CnHHjxmHJkiXIy8vD8OHD0bdvXyQkJKB9+/a4cOGC13FwOnXqhO+//x6vv/46PvjgAwAlI5/cBeRbtGgRCgsL0aVLF9SuXZtfVq9e7ZU8BOENcifO1BKKc0MQ3mNgjDG9hfAlV65cQVhYGAoLCxEaGmq37+bNmzh58iSio6NRvnx5nSQklED3jFATi8WCBne3QuV2T6JCo3YwlPHRM8UY2I3LuHJgLYr/2o6cnBzyQSMIB1y9vx0hnxuCIIj/sivfBvOLS0tGO/qa0GoIf2QcKvd6kRQbgvAS6pYiCIIAkF94A5O+PqqPYvNfDAYDiowV8dXBXN1kIIhggJQbgiAIACfP+8+8Zpt/P6u3CAQR0JByQxAEASA6XNsJM+XD0L1ZLb2FIIiAhpQbgiAIALXDKuDdJ+8BoN8YC8YYbl/MR1wkNc0E4Q3kUEwQBPFfEtrWxwONa6Lpky//d7RUiG8y5kdLrcP13zNx7FmK2E0Q3kDKDUEQhIDaYRVQ+FMqCn9K1SV/k8mEmJgYXfImiGCBbJ8EQRAC0tPTdc3/nXfeIasNQXgJKTcEQRD/xWKxYNiwYbrK0KZNG13zJ4hgQHfl5uOPP+ajy7Zu3Ro7duxwefzPP/+M1q1bo3z58mjYsCE++eQTH0lKcDRo0ADz58/XWwyCUJ3s7GzYbDbd8qcuKYJQB12Vm9WrV+Pll1/G1KlTcfjwYXTu3Bk9e/ZEbq54AKuTJ0+iV69e6Ny5Mw4fPoxXX30VY8aMwddff+1jyf2PxMREGAwGGAwGlClTBvXr18eLL76IS5cu6S2aKIsWLUKLFi0QGhqK0NBQfhJOgtCT2NhYGI36NYvPP/88dUkRhAroqtzMnTsXSUlJGDJkCJo2bYr58+ejXr16WLRokejxn3zyCerXr4/58+ejadOmGDJkCAYPHow5c+ZI5lFcXIwrV67YLb6ioKgA+/P3o6CowCf59ejRA/n5+cjJyUFaWhq+/fZbryfG1Aqz2Yx33nkHBw8exMGDB9GtWzc8/vjj+P333/UWjSjFmM1mpKam6qbgrFy5kmYEJwgV0E25uXXrFg4dOoTu3bvbbe/evTt2794tes6ePXucjo+Pj8fBgwdx+/Zt0XNSUlIQFhbGL/Xq1VOnAG5Ym70W8V/HI2lzEuK/jsfa7LWa5xkSEoLIyEiYzWZ0794dCQkJ2Lx5M7/farUiKSkJ0dHRqFChApo0aYIFCxbYpZGYmIgnnngCc+bMQe3atVGjRg2MHDlS8voCwNKlSxEWFoYtW7bIlrV3797o1asXGjdujMaNG+Ptt99G5cqVsXfvXuUFJwgVSUpKwt69e3VRcGhGcIJQB92Um/Pnz8NqtaJWLftInLVq1UJBgbilo6CgQPT4O3fu4Pz586LnTJkyBYWFhfySl5enTgFcUFBUgBl7ZsDGSvrubcyGGXtm+MyCAwAnTpzAxo0bUbZsWX6bzWaD2WxGRkYG/vjjD7zxxht49dVXkZGRYXduZmYmjh8/jszMTCxfvhzLli3DsmXLRPOZM2cOxo8fj02bNuHhhx8GACxbtgwGg0G2rFarFV9++SWKiooQFxenvLAEoTJt27ZFaqrvh4KTzw1BqIPucW4cX4KMMZcvRrHjxbZzhISEICTER4G4/kvulVxeseGwMRvyruYhslKkZvl+9913qFy5MqxWK27evAmgpOuPo2zZspgxYwa/Hh0djd27dyMjIwNPP/00v71atWpYuHAhTCYT7rrrLjzyyCP46aefMHToULv8pkyZguXLl2Pbtm245557+O1hYWFo0qSJW3mPHj2KuLg43Lx5E5UrV8a6detw9913e1x+glATrsvclyxevJh8bghCBXRTbsLDw2EymZysNOfOnXOyznBERkaKHl+mTBnUqFFDM1mVUj+0PowGo52CYzQYUa+Ktl1iXbt2xaJFi3D9+nWkpaXhn3/+wejRo+2O+eSTT5CWloZTp07hxo0buHXrFlq1amV3TLNmzWAymfj12rVr4+jRo3bHvP/++ygqKsLBgwfRsGFDu319+vRBnz593MrbpEkTZGVl4fLly/j6668xaNAg/Pzzz6TgEKWWpKQkvUUgiKBAt26pcuXKoXXr1k5+Glu2bEHHjh1Fz4mLi3M6fvPmzWjTpo1d94veRFaKxLS4aTAaSi6v0WDEtLhpmlptAKBSpUqIiYlBixYt8MEHH6C4uNjOUpORkYGxY8di8ODB2Lx5M7KysvDCCy/g1q1bduk4XkuDweA0PLZz586wWq1OXVpKKFeuHGJiYtCmTRukpKSgZcuWTj5ABEEQBKEUXbulxo0bhwEDBqBNmzaIi4tDamoqcnNzMXz4cAAl3R6nT5/GihUrAADDhw/HwoULMW7cOAwdOhR79uxBeno6Vq1apWcxROkb2xcd63RE3tU81KtST3PFRoxp06ahZ8+eePHFF1GnTh3s2LEDHTt2tBtBdfz4cY/SbteuHUaPHo34+HiYTCZMmDDBa3kZYyguLvY6HYLQg8cffxzffvutrnFyCIIoQVflJiEhARcuXMDMmTORn5+P5s2b44cffkBUVBQAID8/3y7mTXR0NH744QeMHTsWH330EerUqYMPPvgATz75pF5FcElkpUhdlBqOLl26oFmzZpg1axYWLlyImJgYrFixAps2bUJ0dDQ+++wzHDhwANHR0R6lz8Wm6dGjB8qUKYOxY8cCANatW4cpU6bgr7/+kjz31VdfRc+ePVGvXj1cvXoVX375JbZt24aNGzd6JAtBqI3SaRgYY6TYEISfoLtD8YgRIyRjsYiN0HnwwQfxyy+/aCxV8DBu3Di88MILmDRpEoYPH46srCwkJCTAYDCgf//+GDFihFfB8zp16oTvv/8evXr1gslkwpgxY1BYWIi///7b5Xlnz57FgAEDkJ+fj7CwMLRo0QIbN27kR1wRhJ54Mg3D+vXrYTAY+EEOBEHoh4GVspp45coVhIWFobCwEKGhoXb7bt68iZMnT/LTQRD+D90zQgsyMzPRrVs3xed5q9zk5eXRaCmCkMDV+9sR3eeWIgiC8Dc8nYZBqNhUrFhRUbwnABTAjyBUgpQbgiAIB7hpGIQhEcRwVF6Ex3uiHFEAP4JQB1JuCIIgREhKSsL27dtdHvP444/z/00mE55//nl+/dq1a4q7qKhLiiDUgZQbgiAICSIj5Y92tFqtfNgKuRgMBgwYMIBfp0kzCUIdSLkhCIKQgVgX1TfffGO3LmapcdU9xRjDv//+y69HRUUpHoJOEIQzpNwQBEFIIFRWVq9erfh8k8nkcqZ7o9GITZs28es2mw3JyclkwSEILyHlhiAIQgLh9CL9+vVze7zBYOAtPCaTCYsXL0bbtm35/ZUqVbLbP27cOCdrj9VqpVFTBOElugfxIwiC8EcsFgtee+01ft2dczCnzMTHx+PYsWOIiYlxchAuX748/vrrL34/AMydO9cusrHJZKJRUwThJaTcEARBiJCdnS17OoV58+bhqaee4pUZqVFPjDGYzWa7/ampqUhOTobVauUVJBo1RRDeQd1ShGo0aNAA8+fP59cNBoOTwyVBBApyA/mZTCY7xcYVYtafpKQk5OTkIDMzEzk5OUhKSvJIXoIg/gcpN0FCYmIiDAYDv9SoUQM9evTAkSNHdJMpPz8fPXv21C1/gvAGx0B+YqOllFpapLq2zGYzunTpQhYbglAJUm60xGIBMjNLfn1Ajx49kJ+fj/z8fPz0008oU6YMHn30UZ/kLUZkZCRCQkJ0y58gvEVoVXnnnXfs9o0fP16xpaWUTeVHELpByo1WpKcDUVFAt24lvz6IXRESEoLIyEhERkaiVatWmDRpEvLy8vg4GpMmTULjxo1RsWJFNGzYEK+//jpu377Nn//rr7+ia9euqFKlCkJDQ9G6dWscPHiQ379792488MADqFChAurVq4cxY8agqKhIUh5ht1ROTg4MBgPWrl2Lrl27omLFimjZsiX27Nljd47SPAhCa8xmM2JiYjBp0iS77fPmzdNJIoIg3EHKjRZYLMCwYQDnjGizAcnJPrPgACWh3z///HPExMSgRo0aAIAqVapg2bJl+OOPP7BgwQIsWbLEroF+7rnnYDabceDAARw6dAiTJ09G2bJlAQBHjx5FfHw8+vbtiyNHjmD16tXYuXMnRo0apUiuqVOnYvz48cjKykLjxo3Rv39/3LlzR9U8CEJtxJyLacg2QfgxrJRRWFjIALDCwkKnfTdu3GB//PEHu3HjhneZbN3KGOC8ZGZ6l64LBg0axEwmE6tUqRKrVKkSA8Bq167NDh06JHnOe++9x1q3bs2vV6lShS1btkz02AEDBrBhw4bZbduxYwczGo389YqKimLz5s3j9wNg69atY4wxdvLkSQaApaWl8ft///13BoD9+eefsvNwRLV7RhAuyMvLY0ajkQHgF5PJxPLy8mSdz50TGhqqsaQEEby4en87QpYbLYiNBRxHWZhMgMaxK7p27YqsrCxkZWVh37596N69O3r27IlTp04BANasWYP7778fkZGRqFy5Ml5//XXk5uby548bNw5DhgzBQw89hHfeeQfHjx/n9x06dAjLli1D5cqV+SU+Ph42mw0nT56ULWOLFi34/7Vr1wYAnDt3TtU8CEJtxJyLPRmybbVatRCPIAgHSLnRArMZSE0tUWiAkt/Fi0u2a0ilSpUQExODmJgYtGvXDunp6SgqKsKSJUuwd+9ePPPMM+jZsye+++47HD58GFOnTsWtW7f486dPn47ff/8djzzyCLZu3Yq7774b69atA/C/sPCc8pSVlYVff/0V2dnZaNSokWwZuW4uoMQnh0tbzTwIQgs8HbItnCuqqKiI5o4iCB9AQfy0IikJiI8Hjh0rsdjoMMTTYDDAaDTixo0b2LVrF6KiojB16lR+P2fREdK4cWM0btwYY8eORf/+/bF06VL06dMH9913H37//XdNI6f6Ig+C8AbHAHzusFgsGDZsmN225ORkxMfH07BvgtAQstxoidkMdOniM8WmuLgYBQUFKCgowJ9//onRo0fj2rVr6N27N2JiYpCbm4svv/wSx48fxwcffMBbZQDgxo0bGDVqFLZt24ZTp05h165dOHDgAJo2bQqgZKTVnj17MHLkSGRlZSE7Oxvr16/H6NGjVZPfF3kQhC8hR2SC0Aey3AQRGzdu5P1YqlSpgrvuugtfffUVunTpAgAYO3YsRo0aheLiYjzyyCN4/fXXMX36dAAlPgQXLlzAwIEDcfbsWYSHh6Nv376YMWMGgBJfmZ9//hlTp05F586dwRhDo0aNkJCQoJr8vsiDIHwJF+WY5o4iCN9iYKx0RZW6cuUKwsLCUFhYiNDQULt9N2/exMmTJxEdHY3y5cvrJCGhBLpnhL+Tnp7uNHcUTbFAEMpx9f52hCw3BEEQGpKUlORypnCCINSHlBuCIAiNUeqITBCEd5BDMUEQBEEQQQUpNwRBEARBBBWk3IhQynysAxq6VwRBEIQjpNwI4KLnXr9+XWdJCLlw90oY+ZggCIIo3ZBDsQCTyYSqVavycx1VrFiRnyKA8C8YY7h+/TrOnTuHqlWr8nP+EARBEAQpNw5ERkYC+N9kjoR/U7VqVf6eEQRBEARAyo0TBoMBtWvXRkREBG7fvq23OIQLypYtSxYbgiAIwglSbiQwmUz04iQIgiCIAIQcigmCIAiCCCpIuSEIgiAIIqgg5YYgCIIgiKCi1PnccEHfrly5orMkBEEQBEHIhXtvywneWuqUm6tXrwIA6tWrp7MkBEEQBEEo5erVqwgLC3N5jIGVsvj1NpsNZ86cQZUqVYI+QN+VK1dQr1495OXlITQ0VG9xfEppLXtpLTdAZaeyl66yl8ZyM8Zw9epV1KlTB0aja6+aUme5MRqNMJvNeovhU0JDQ0vNw+9IaS17aS03QGWnspcuSlu53VlsOMihmCAIgiCIoIKUG4IgCIIgggpSboKYkJAQTJs2DSEhIXqL4nNKa9lLa7kBKjuVvXSVvbSWWy6lzqGYIAiCIIjghiw3BEEQBEEEFaTcEARBEAQRVJByQxAEQRBEUEHKDUEQBEEQQQUpN35EgwYNYDAYnJaRI0fyx/z555947LHHEBYWhipVqqBDhw7Izc3l9xcUFGDAgAGIjIxEpUqVcN9992HNmjV2+Vy6dAkDBgxAWFgYwsLCMGDAAFy+fNnumNzcXPTu3RuVKlVCeHg4xowZg1u3bgV02XNycpCUlITo6GhUqFABjRo1wrRp05zKJSbHJ598ErDllspn8uTJdscE4z3ftm2baB4GgwEHDhzgj/PlPVer7MePH0efPn1Qs2ZNhIaG4umnn8bZs2ft8vG3uu6LcvtjPfdV2aXy0buu6wIj/IZz586x/Px8ftmyZQsDwDIzMxljjB07doxVr16dTZgwgf3yyy/s+PHj7LvvvmNnz57l03jooYdY27Zt2b59+9jx48fZm2++yYxGI/vll1/4Y3r06MGaN2/Odu/ezXbv3s2aN2/OHn30UX7/nTt3WPPmzVnXrl3ZL7/8wrZs2cLq1KnDRo0aFdBl37BhA0tMTGSbNm1ix48fZ//3f//HIiIi2CuvvGInCwC2dOlSO3muX78esOVmjLGoqCg2c+ZMu7yuXr3K7w/We15cXGyXR35+PhsyZAhr0KABs9lsfDq+vOdqlP3atWusYcOGrE+fPuzIkSPsyJEj7PHHH2dt27ZlVquVz8ff6rovyu2P9dxXZWfMP+u6HpBy48e89NJLrFGjRnwjnJCQwJ5//nmX51SqVImtWLHCblv16tVZWloaY4yxP/74gwFge/fu5ffv2bOHAWB//fUXY4yxH374gRmNRnb69Gn+mFWrVrGQkBBWWFioStncoUXZxXjvvfdYdHS03TYAbN26dZ4J7iValTsqKorNmzdPMo3Scs9v3brFIiIi2MyZM+2263nPGVNe9k2bNjGj0Wh3by5evMgAsC1btjDGAqOua1FuMfytnjOmXdkDoa77AuqW8lNu3bqFlStXYvDgwTAYDLDZbPj+++/RuHFjxMfHIyIiAu3bt8c333xjd97999+P1atX4+LFi7DZbPjyyy9RXFyMLl26AAD27NmDsLAwtG/fnj+nQ4cOCAsLw+7du/ljmjdvjjp16vDHxMfHo7i4GIcOHQrYsotRWFiI6tWrO20fNWoUwsPD0bZtW3zyySew2Wwql9IZrcv97rvvokaNGmjVqhXefvttOzN0abnn69evx/nz55GYmOi0T497DnhW9uLiYhgMBrsAbuXLl4fRaMTOnTsB+H9d16rcYvhTPQe0L7s/13Wfobd2RYizevVqZjKZeO06Pz+fAWAVK1Zkc+fOZYcPH2YpKSnMYDCwbdu28eddvnyZxcfHMwCsTJkyLDQ0lG3evJnf//bbb7PY2Fin/GJjY9msWbMYY4wNHTqUPfzww07HlCtXjn3xxRdqF9UJrcruyLFjx1hoaChbsmSJ3fY333yT7d69mx0+fJjNmTOHVaxYkb355pvaFFaAluWeO3cu27ZtG/v111/ZkiVLWHh4OEtKSuL3l5Z73rNnT9azZ0+n7Xrdc8Y8K/u5c+dYaGgoe+mll1hRURG7du0aGzlyJAPAhg0bxhjz/7quVbkd8bd6zpi2Zff3uu4rSLnxU7p3727XN3769GkGgPXv39/uuN69e7NnnnmGXx81ahRr164d+/HHH1lWVhabPn06CwsLY0eOHGGMlTR4jRs3dsovJiaGpaSkMMZKHv7u3bs7HVO2bFm2atUqVcrnCq3KLuT06dMsJibGrtJLMWfOHBYaGupFieThi3JzrFmzhgFg58+fZ4yVjnuel5fHjEYjW7NmjVt5fHXPGfO87Js2bWINGzZkBoOBmUwm9vzzz7P77ruPvfjii4wx/6/rWpVbiD/Wc8Z8U3YOf6vrvqKMD41EhExOnTqFH3/8EWvXruW3hYeHo0yZMrj77rvtjm3atClvkjx+/DgWLlyI3377Dc2aNQMAtGzZEjt27MBHH32ETz75BJGRkU7e9QDw77//olatWgCAyMhI7Nu3z27/pUuXcPv2bf4YrdCy7BxnzpxB165dERcXh9TUVLcydejQAVeuXMHZs2c1K78vyu1YJgA4duwYatSoEfT3HACWLl2KGjVq4LHHHnMrky/uOeB52QGge/fuOH78OM6fP48yZcqgatWqiIyMRHR0NAD4dV3Xstwc/ljPAd+UXYg/1XVfQj43fsjSpUsRERGBRx55hN9Wrlw5tG3bFn///bfdsf/88w+ioqIAANevXwcAGI32t9VkMvF9yXFxcSgsLMT+/fv5/fv27UNhYSE6duzIH/Pbb78hPz+fP2bz5s0ICQlB69atVSypM1qWHQBOnz6NLl264L777sPSpUudjhfj8OHDKF++PKpWreppsdyidbkdOXz4MACgdu3aAIL7ngMAYwxLly7FwIEDUbZsWbcy+eKeA56XXUh4eDiqVq2KrVu34ty5c7zy5s91XctyA/5bzwHty+6IP9V1n6K36Yiwx2q1svr167NJkyY57Vu7di0rW7YsS01NZdnZ2ezDDz9kJpOJ7dixgzFWMhIkJiaGde7cme3bt48dO3aMzZkzhxkMBvb999/z6fTo0YO1aNGC7dmzh+3Zs4fdc889osND//Of/7BffvmF/fjjj8xsNms+VFDrsnMm6m7dujGLxWI3VJJj/fr1LDU1lR09epQdO3aMLVmyhIWGhrIxY8YEbLl3797N9+OfOHGCrV69mtWpU4c99thjfD7Bes85fvzxRwaA/fHHH0756HHPGfOu7Iwx9umnn7I9e/awY8eOsc8++4xVr16djRs3zi4df6zrWpfbX+u5L8ruz3Xd15By42ds2rSJAWB///236P709HQWExPDypcvz1q2bMm++eYbu/3//PMP69u3L4uIiGAVK1ZkLVq0cBoqe+HCBfbcc8+xKlWqsCpVqrDnnnuOXbp0ye6YU6dOsUceeYRVqFCBVa9enY0aNYrdvHlT1bI6onXZly5dygCILhwbNmxgrVq1YpUrV2YVK1ZkzZs3Z/Pnz2e3b9/WptBM+3IfOnSItW/fnoWFhbHy5cuzJk2asGnTprGioiK7dILxnnP079+fdezYUTQPPe45Y96XfdKkSaxWrVqsbNmyLDY2lr3//vt2sXsY88+6rnW5/bWeM6Z92f25rvsaA2OM+dZWRBAEQRAEoR3kc0MQBEEQRFBByg1BEARBEEEFKTcEQRAEQQQVpNwQBEEQBBFUkHJDEARBEERQQcoNQRAEQRBBBSk3BEEQBEEEFaTcEARBEAQRVJByQxCES6ZPn45WrVr5PN9t27bBYDDAYDDgiSee8Hn+asKV5fLly26PzcnJ4cutx3UniGCAlBuCKMVwL1GpJTExEePHj8dPP/2km4x///03li1bplv+vqZevXrIz8/HK6+8orcoBBGwlNFbAIIg9EM4M/Dq1avxxhtv2M1MXKFCBVSuXBmVK1fWQzwAQEREhOYzNfsTJpMJkZGRul5zggh0yHJDEKWYyMhIfgkLC4PBYHDa5tgtlZiYiCeeeAKzZs1CrVq1ULVqVcyYMQN37tzBhAkTUL16dZjNZnz66ad2eZ0+fRoJCQmoVq0aatSogccffxw5OTmKZV6zZg3uueceVKhQATVq1MBDDz2EoqIifv/SpUvRtGlTlC9fHnfddRc+/vhju/MtFgueeeYZVK9eHZUqVUKbNm2wb98+fv+iRYvQqFEjlCtXDk2aNMFnn31md77BYEBaWhr69OmDihUrIjY2FuvXr7c75ocffkDjxo1RoUIFdO3a1amcp06dQu/evVGtWjVUqlQJzZo1ww8//KD4WhAEIQ4pNwRBKGbr1q04c+YMtm/fjrlz52L69Ol49NFHUa1aNezbtw/Dhw/H8OHDkZeXBwC4fv06unbtisqVK2P79u3YuXMnKleujB49euDWrVuy883Pz0f//v0xePBg/Pnnn9i2bRv69u0Lbv7fJUuWYOrUqXj77bfx559/YtasWXj99dexfPlyAMC1a9fw4IMP4syZM1i/fj1+/fVXTJw4ETabDQCwbt06vPTSS3jllVfw22+/ITk5GS+88AIyMzPt5JgxYwaefvppHDlyBL169cJzzz2HixcvAgDy8vLQt29f9OrVC1lZWRgyZAgmT55sd/7IkSNRXFyM7du34+jRo3j33XfJUkMQaqLzrOQEQfgJS5cuZWFhYU7bp02bxlq2bMmvDxo0iEVFRTGr1cpva9KkCevcuTO/fufOHVapUiW2atUqxhhj6enprEmTJsxms/HHFBcXswoVKrBNmzaJypOZmckAsEuXLvHbDh06xACwnJwc0XPq1avHvvjiC7ttb775JouLi2OMMbZ48WJWpUoVduHCBdHzO3bsyIYOHWq3rV+/fqxXr178OgD22muv8evXrl1jBoOBbdiwgTHG2JQpU1jTpk3tyjpp0iS7stxzzz1s+vTpojJwOF53giDkQ5YbgiAU06xZMxiN/2s+atWqhXvuuYdfN5lMqFGjBs6dOwcAOHToEI4dO4YqVarwPjzVq1fHzZs3cfz4cdn5tmzZEv/5z39wzz33oF+/fliyZAkuXboEAPj333+Rl5eHpKQkPo/KlSvjrbfe4vPIysrCvffei+rVq4um/+eff6JTp0522zp16oQ///zTbluLFi34/5UqVUKVKlX4sv7555/o0KEDDAYDf0xcXJzd+WPGjMFbb72FTp06Ydq0aThy5Ijsa0AQhHvIoZggCMWULVvWbt1gMIhu47p7bDYbWrdujc8//9wprZo1a8rO12QyYcuWLdi9ezc2b96MDz/8EFOnTsW+fftQsWJFACVdU+3bt3c6DyhxkHaHUCkBAMaY0zZXZWX/7SJzxZAhQxAfH4/vv/8emzdvRkpKCt5//32MHj3a7bkEQbiHLDcEQWjOfffdh+zsbERERCAmJsZuCQsLU5SWwWBAp06dMGPGDBw+fBjlypXDunXrUKtWLdStWxcnTpxwyiM6OhpAicUlKyuL949xpGnTpti5c6fdtt27d6Np06ay5bv77ruxd+9eu22O60DJkO/hw4dj7dq1eOWVV7BkyRLZeRAE4RpSbgiC0JznnnsO4eHhePzxx7Fjxw6cPHkSP//8M1566SVYLBbZ6ezbtw+zZs3CwYMHkZubi7Vr1+Lff//llY/p06cjJSUFCxYswD///IOjR49i6dKlmDt3LgCgf//+iIyMxBNPPIFdu3bhxIkT+Prrr7Fnzx4AwIQJE7Bs2TJ88sknyM7Oxty5c7F27VqMHz9etozDhw/H8ePHMW7cOPz999/44osvnOL0vPzyy9i0aRNOnjyJX375BVu3blWkQBEE4RpSbgiC0JyKFSti+/btqF+/Pvr27YumTZti8ODBuHHjBkJDQ2WnExoaiu3bt6NXr15o3LgxXnvtNbz//vvo2bMngJLunrS0NCxbtgz33HMPHnzwQSxbtoy33JQrVw6bN29GREQEevXqhXvuuQfvvPMO3231xBNPYMGCBZg9ezaaNWuGxYsXY+nSpejSpYtsGevXr4+vv/4a3377LVq2bIlPPvkEs2bNsjvGarVi5MiRaNq0KXr06IEmTZo4DVknCMJzDExOBzFBEISP2bZtG7p27YpLly6VqiB+HNOnT8c333yDrKwsvUUhiICDLDcEQfg1ZrMZ/fv311sMn5Gbm4vKlSs7WXsIgpAPWW4IgvBLbty4gdOnTwMAKleujMjISJ0l8g137tzhIxqHhISgXr16+gpEEAEIKTcEQRAEQQQV1C1FEARBEERQQcoNQRAEQRBBBSk3BEEQBEEEFaTcEARBEAQRVJByQxAEQRBEUEHKDUEQBEEQQQUpNwRBEARBBBWk3BAEQRAEEVT8PzbXRsjWMY7qAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"preliminary = lc_2a.occ_detect(snr_limit=5, plot=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Other two parameters can be used for otimization purpose**\n",
"\n",
"The first is the `maximum_duration`, and this will set an upper limit to the size of the occultation (in seconds). The user can also set the `dur_step`, which is the step size in seconds of the occultation search. Those parameters will decrease the CPU time of these searches."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'rank': 1,\n",
" 'occultation_duration': 11.0,\n",
" 'central_time': 76888.3231406331,\n",
" 'immersion_time': 76882.8231406331,\n",
" 'emersion_time': 76893.8231406331,\n",
" 'time_err': 0.04017278552055359,\n",
" 'depth': 0.9802503938156636,\n",
" 'depth_err': 0.062074094327636595,\n",
" 'baseline': 1.0241496004823303,\n",
" 'baseline_err': 0.1266541830883394,\n",
" 'snr': 15.791618136895426,\n",
" 'occ_mask': array([False, False, False, ..., False, False, False])}"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"preliminary = lc_2a.occ_detect(maximum_duration=12,dur_step=1, plot=True)\n",
"preliminary"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"## 5. Complete occultation light curve model and fitting\n",
"\n",
"The model considers a sharp-edge occultation model (geometric) convolved with Fresnel diffraction, stellar diameter (projected at the body distance), CCD bandwidth, and finite integration time. It is created using a smaller time resolution than the observational light curve. By default, the model will have a resolution that is 1/10 of the mean Fresnel Scale (in km) divided by the event's velocity (in km/s), if the exposure time is shorter than this value the software will use 1/10 of the exposure time. The parameters of interest are, mostly, the immersion and emersion times. Moreover, the opacity of the object can also be of interest for particular cases (occultations by rings, for instance), where 1.0 means an opaque body and 0.0 a transparent one.\n",
"\n",
"The fit consists into create models and compare them with the observational light curve, through a standard $\\chi^2$ test. The parameters that minimizes the $\\chi^2$ are the fitted parameters and their uncertainties are obtained from the values within $1\\sigma = \\chi^2_{min} + 1$ and $3\\sigma = \\chi^2_{min} + 9$. The result of the fit is a `ChiSquare` object, and its functions can be found at its specific Jupyter-Notebook.\n"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\u001b[0;31mSignature:\u001b[0m\n",
"\u001b[0mlc_1a\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mocc_model\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mimmersion_time\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0memersion_time\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mopacity\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mmask\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mnpt_star\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mtime_resolution_factor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mflux_min\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mflux_max\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mDocstring:\u001b[0m\n",
"Returns the modelled light curve.\n",
"\n",
"The modelled light curve takes into account the fresnel diffraction, the\n",
"star diameter and the instrumental response.\n",
"\n",
"Parameters\n",
"----------\n",
"immersion_time : `int`, `float`\n",
" Immersion time, in seconds.\n",
"\n",
"emersion_time : `int`, `float`\n",
" Emersion time, in seconds.\n",
"\n",
"opacity : `int`, `float`\n",
" Opacity. Opaque = 1.0, transparent = 0.0,\n",
"\n",
"mask : `bool` array\n",
" Mask with True values to be computed.\n",
"\n",
"npt_star : `int`, default=12\n",
" Number of subdivisions for computing the star size effects.\n",
"\n",
"time_resolution_factor : `int`, `float`, default: 10*fresnel scale\n",
" Steps for fresnel scale used for modelling the light curve.\n",
"\n",
"flux_min : `int`, `float`, default=0\n",
" Bottom flux (only object).\n",
"\n",
"flux_max : `int`, `float`, default=1\n",
" Base flux (object plus star).\n",
"\u001b[0;31mFile:\u001b[0m ~/Documentos/códigos/SORA/sora/lightcurve/core.py\n",
"\u001b[0;31mType:\u001b[0m method\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_1a.occ_model?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Let's find some parameters to create the model**"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"immersion_time = 76880.000 # seconds relative to tref\n",
"emersion_time = 76891.000 # seconds relative to tref\n",
"opacity = 1.0 # 1.0 == opaque; 0.0 == transparent\n",
"\n",
"tmin = immersion_time - 20 # seconds relative to tref\n",
"tmax = emersion_time + 20 # seconds relative to tref\n",
"\n",
"mask = (lc_1a.time > tmin) & (lc_1a.time < tmax)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Let's give a look at the parameters we created (visual aid)**"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zH7lAKHDgwIGo1Mfj8WCUIDHAuJ2NkU5BrZPlPw+KSjLI3YeFsPkVKkhqi2gpAL74wrjAILXZUWpcd8jKGcfO+DFGOtCaNWsarlssaBLk13Ts2LGwjueEu3WiDgqdQnxfEmnaiYQXB4mUR0AiI3/ZlARCACgsLITX68Xff/+tebxwOgi1F79Hjx6B33bZ2Wh1ssAMGHEf7t0b6N492PkLYfOjwbhxxgUGbZsdIBxPI7vix3i9XgwePDikA7VKNDQJ8lG3klBQFGbkQiUhPtxptLI8KDQrfAjPlcAuWQNAmhdCEblHAMdxMTX/HQ/IX1alaRoA2LJlCzIyMjBnzpyQbQKR6CCM/rd6jZB2J/syjLoPi08TzbD5e/cBRgUGqc2OnAtDPI3MYDZ+jBpq0WetEC1Ngrz+agMDO6lQoULYwn1ZHhSaETaUtNTr16/HwYMHnahaxCHhxWHEL+rQoUNjdv7bDGaldaXyVjUgHo8Hffr0CVn/xhtvhDS88nxHTnUQVlSxevtod7J+AA+Lll1Qch8GYm1kZUxgkAb5k8MLNFY9jeyKH6M2HWKFSGoStJ47pWuyG6v3SIwdbuJlAaXnijGGffv2SZZjYbrSCiS8RJDKlSs7fg6jD2I0H9g5c+aElan2qquuClmnNGIUN/5OdhBOCC/67s5im5eXAoa4MRVsjuOAjAycrp0BBg78tcivW1lgEGx25FSowGHhQutxaaRanUmyeigLgEp4PNJYPS6XC6ODSaQCGHk2ohWGXy7YejweVBAZSbndbtSrV8/ROlhFPAhMT0+P20Gh2XbYTFujpKHiOE7yn7733ntxa/hMwksCYXRaJJqW+oIGxO5MtUovtbjxjzVVs14jJO1kK4q2CO7O4k6lOjweKHbqUTXQq1QJKChA+b0FqOGpVHot/xEV0BYYlASUTp24sALqSbU6fUVb/jQtAMrv7dSpU0PKGNF8eTwetG4ddGl3Irii0EmKpwyU6paSkhL4XVBQgBrKIaJjCju0OWawa+DndDvs8Xjw+OOPS9a1adNGYkQ+ZsyYuDV8JuElQTA6LRJtS32zmWqVOl+ldSNGjAhZJ278nbQ/UhMQhJgmchhjukKFtJMtJ9pSAHm+pEcfZdi1S7mzj4VpI+m1iOPOFFgQGNTWGxfSBK1OnTrifeqpCoBGCNdWRGxUGY7Rt1LH+sorrwQ0nQMHDtTcv1y54LMWrWmYWJ7GsEvgiFQ7fMstt0iWmzRpImkT4tnwmYSXBMHotIgd0ydaHaJew2M2LorRTkns8aNWp+7dg5FaBw0a5KiqORjTJPReGRFegGAny3Hi/8tT2skHjzt7Nu+KHMsI1yKdOfWYFhisapLkwfF69QJWrgxuX7wYqgKg3XVRQvxOWhUalDpWr9eLkSNHBt5ZvaR85cuXlyxHWnOnJxxEU7CxU+CIlJ2T3uAlWrng7ICElwTBqFDg5PSJkVGJ3ODWLhW5WiMrrlPDhg0D61NTU8M6nxbS+CyFIdsXLTImvAB8Z5qcLPVi4Z1a9gaWjx5lqsHVoqp5OXUKaNeO/5w6hd69g0H0gKDrttN5ldSC4337bbBMVpZ5WyE7760dXj5KHetKsYRmgGgKL3rCgbx9iTR2ChyxMo0t1szEW9ZwEl4SBI/HgwEDBgSW3W43Jk2ahO3bt0tGBh6PB5MnT5aUs+OBNTMq6dixY+C3norc6LSR0jp5ncSdjZ2NsvhY0vgsrwBoFFJ+zBjpsl5enfPnz8vWzAVwsWh5BQDjwdUiht8PrFvHf0r/A3F7bcV12+z/phVN94EHnO+YjdbXDuFFqWPVOr8RzYvd+Hw+VU2FlnCg1L4IRErAslPgiJTHlPw/lt+rSOeCsxMSXiKI06Pga665JvD7sccew2OPPaaoBbnrrrsCv3/77TdbHlgzoxIz8+pGGyalclpxK/79919DxzV7bml8lpFQihDr9TLs3x/cRy+vjvQalELmv2MouJowbRLPmM0JpRdN12mMvvNOxFdxu93IzMyUrBN3vkp1E7+bTkzNnD59WlUrqyUcaL3LWs+EndNMHo8HEyZMkNRNT+DQOr+43b344osjJjioPZPxonERIOElgfjpp58Cv5977jlVLYj44a1fv74t5zYzKhE3kFZQaqyUXki1gHYAwg57roY0PosaDH6/uF7aeXWkjbZa3Bf94GrCtElZQS+aLhC8WVYGFk7ZvFhFPJWi1rG+++67msc4fvy45HhHjhwJu15y1LSyWkb1Su2LHk5489x2222B3ytWrECTJk1UBSMz51fK4aaE2WcuFgz2nYKElwTB6/XinXfeUd2upgXhOM7Q6ESvjLzhEbLpApAERQKcUU0rvaQejwcvvviiYvmqVavadm5xg6If2l7ghOi3mbw6SsHVXFALriYVZoRpk+gRycZUP5rubsfrYLSzsRqdV4zYBVZtCkBcRik9gPj99vv9KCwMtdmyA7X2SFznm266KbCsJNhoEQlvnqysLE3D4ljNv5QoAg0JLyaIZRc+JRdkMWItiLjcu+++qzs6kI8g/vjjj8A28b0Qe/PMnz8fAD96+1ZsGYnwNS9mGDdunOJ6OwMGihvSq69mGqHtBQoBHBUtG8+rwx93lmztQMVYKT4f8Pvv4mdCmDaRElN2MjqYGXnqR9NtFFZdImWwa7TdEd8btSkAcRml9ADhYKZ9NGIrkpycLFkWCzb9+vXT3Ncpbx7x/dMSTGIl/5LSM+qU7V+kIeHFIHaoIJ2UeLWmSAB1Y7BRo0ZpvoRKI4gffvghsF24F/IEYLm5uYrZn71er0R42b1be/Rr1Dg3VkYTLhfTCG0voNRJKOfVURIshNgoQXhbJ3mslPx84PRpcTnlDvLnn3WqG6d06ADwiga5wMeBD/QXVFN9+inw/ff8R3CnjqRQpya8mGl3zE6ryAknPYCZehp1EtDSRul5C4ZjXGtlkCoWTLxer2L+oFh3Q47VgbkaJLwYIJZVgAIejweDBg0KLMs7ePGoxUyQIr1kbX6/H0OGDAkRVObPn68asn/FihWB5SZNmmg2dEantaIpvMjvtVpo+yBKDVhomHzBxVdM9er8R0y1asqxUnghSP++7N+vW8Q66en8xyaMjhRzcoCmTYFgHyIW+AZDHujv/vsZrrsOuO46qTu1mhG1mboYQeldMdvuhGsP4fF40KRJk8Cy2+2WhBdQw2w9jXq1hHrZBdG7Vo/Hg1tvvVWyrn///roCk9VBqiCYCPv37ds3ZHs03JCVvI3UNC/xliKAhBcDxIoKUA+xt9ENN9xgaB+90YkRQzm/36+YAEyJlJQUydy1XkPn9XpD8iDFmqpTSRWvHbukPgCxBBIaJl/q4hvkyBHg8GHpusmTmeL59JILCtSpY6ycaVJSeOnh4EH4KqQgLw8QzTgqIg8mJ0ftvxevV3aPXisq7SpdJzYIWlFaVupOrWZEbTdKwovZdidczQsA1KpVK/C7oKBAYiOjhtl6Gu3AjdoBqYVJyJH9ce+//75iOyMMjtauXWtpkCoIJgAUtc2AfW7IdrR94rZZ7rigpn2PRa0MCS8GiJWAQnqIH+yKFSuqlhM/vHfeeadkm3x0ohSPQI5So+lyuXDJJZeErC8pKTGVHmDfvn0heZCUpprMal6cEoCM1aMQgNhouQCCJmD6dH6N1MVXfPy5kGtT1PqsrCxAlGdPFVHYHUcQB4kT9ydyoUApmJwaciHn/PngPVF2j75StPdbpevai9bdDKBh6UfqTh2J+DlKHZ5Su+NyuST5h8SIn2kjnY3es2pUyHCqfdTSvJSUlGjuazQNydy5cwODo6uuusrSIFUQTLS01NFyQ9b7jw8dOhSyTnzN0cyDpwcJLwYIJ6CQlkbBbmlWyxhPjQWywB9KoxPxiKFOnTro2lVq9Dlr1iyJ1gcAHnroIbRs2TLkfGbTA8jx+XyYNm2aobLRQLjv2qP1CwD8I1rmQ/5/8gmvsQl18RUzFHIvGbX/2u0GLrpIv85O5rUL1YLsCmwTazXUgsnJ4ThOUci5555gGa+XQTkejhz5NoagYGjciNoOlDo9pXbH7/ejffv2ip2IWIBQ62z02gj5u2lEyHcq8KVc8yK+lvfff19zXyOZur1eLwYPHqyYOkGMWFhUuh/CdVpx51bDKW2HfNpISbMm3Cfh/sSquQQJLwaRq/yMqADlRqy///67ZL08B0mkVHNa+U30RhputxsXXnhhYNnlciE7OxsXXHCBpNz111+v+qI/9NBDkuOZbehixThXQN4hCMHR1JF3VF74fEHTEH0XX+NeIUanjpzAV3IKde/qjB9YZ1TAm+C1IO9JyowaBZw9qx5MTs6+fcpCTugAUunemb4CGImfYwdqUyRK7YxaJ3L27FnFcuEgf4fV2iknAl+KNS+CXY2AnseMvD1Ramf0PDQFTpw4oVtGOKeeltoITms7xNeclpYWsn306NEAzCfRjTQkvDiE3IgNAJYvX461a9eGSLODBw82/LBqCTd2TIXoaUHkD7OVdPTXXXdd4PeGDRsMN3Raoxo7po2sCpBy4SWoOTGKtIO008U3moLez/l+ZJ79EZ3xI1wYBrkwIWg13nhDK5iclN9/51SEnG/ER4byvTNLqBG1U5gNUqfUiZw6dUqxnBpKcV6Ki4tVyxvtVOWBL622SydPngz81nMc0GPLli0h7YyehyYQ2h7qlbcqtAnHVTJ+Fgttaqi1XVbaxalTpyIjIwPr1q0L2R5L5hIkvDiE0svGGMNPP/0U8kAxxgyp5uSaHDuQa1H0tCBqwot8DlrrpRFvq1evnuG6rl692nC9zGKkYTbSCDPGLIzSpR1kVhZEsWLkI7mZAIzfs2gi9WJS+n/4znfpUmFZX1vCu34rCTmvBMrwGiyle6cHJ/stNaJ2ktNSn3ZdlDoRJVsY+eBCbdpIeP43b94cWOf1eiVpNIwas4bzLorfu19++SWwrOXGbeS9VGpnPB4Prr/++sCy2+1G+/ZBOyhxhF+Avx9abZAdKPUb4uVt27aF7GNWU2Okbfb7/fjvf/8r2Wakf4gkjgovK1aswE033YR69eqB4zh8/vnnmuXz8vLAcVzI56+//nKymo6g9LJxHIerr75ad1+lUZWSJkdYLz6+WcTC0Ouvv647clB68MeNG4cPP/zQ9LnVjqdGu3btcNlllylu27Rpk6XzA+G7wss7BLOjdHkH6XYjECtGHtOFX5aOpo0KipFG6sWk9GzynW8whqFRbYlaigSeq65i4P8Ss6PgPaLfdwTuvTx+jt3MnTsXf/75p2RZC3mnKiA30hd7wWih1rZkZGRI2l4tY1YtWxqj7ZJ8aghA4D384IMPDB3DLOLBW0FBAe4RGU/16NEj0B4KAoI4HIUT6NnNrFy5UjcOl17bZTRInVLbIQ5EGm0cFV5OnDiByy67DK+99pqp/bZu3YqioqLAJ5zgSdHC4/GgkSxIx3XXXYd27drp7qs0qlJTm4qFHKMGu+Jt4hclXSEeh6COVNv/9OnTmDp1ash+Bw8eNKypMEPjxo0V1//f//2fqeOI0XL1NFI/+XUKmhMzyDtIIVaMPPWUxwO8+679SfycQOrF9KxCCQ+kxrlKweTkcNATclavBp56KjQejj7iPy0FHo9y/JxATWyYphWMIsUMGTJEs/Pp1KmT4iBDXh8991zh2VZrW+TrjHoUWRWY1d7DVatW4bHHHrN0TL06ic8nFwYrVaoEQF24cwI9uxnGmG4cLj27FKv/j9/vjxl7F8Bh4aVHjx743//+h97aQS9CqFWrFurUqRP4WLGriAXEMRMAKLoOK6E0qlKTyM3Mxyohvrfy44vVkQKMMV03RQAocsjC0S5rfvG9CtcDSgxjTKI5MYJaB9m7N1BQIF23axfQs6dxv91oxsSRvrZKbYDcbmUupNqS8SF7JCVx4IWMF1TPe/gwwzPP8DFxzPDdd8HfPXty2LVLL16PPkqRVsWsXLkypDPx+/1YtWqV6j5qucHk70Y4rs5KjBkzJvBbTfsDSAUCr9druLNUcw13UntoJJZMuPY2ZtESODmOC4nDpdV2WdWCKRFL9i5AjNq8XHHFFahbty6uvfbakFF/WaB79+4hxldqErl4PlasetZCTfMiFmTURhsnTpzQTAApUEcj8pmat5Oeutzr9SrGJbCDzMzMwG+xZ4JZzYuxIHVStMrK5Xa3O3REHKvTRmJq11Kqh1KmZ7HG4WzIHsGAr211zmg+CeW11wZ/162rP1Vk5N7eeeedtnuLqMU/MSvYC/U36iUzUuRCN2jQIElGZaV3Whj8GH0GlerBGNNNIRIO4ncpNzcXR48eDSkTS5r/Dh06hMThEtvpGPHeNPJ/KD1LL7zwQszYuwAxJrzUrVsXs2bNwqJFi5CTk4OWLVvi2muvlYSTl3PmzBkcP35c8olVjL7EasZXahK50Eg8//zzps8lRtwJq402jGhdAKBGjRqq25QaOqX5bjkZGRmaz4IVhHu3cuXKwDo9dbuWV5JwPWaCmpnNpSMfLcaKgCLG5wNWrADOJ1eCr0IlLFmiNHJVcgMXq6xeCtmjXj3hGdUaAb4NtSSUWjz5ZPC3XbdUbIOg9Nx06NBBMbaKWJiWoya8GBlVq00tG/GSEXdc8+bNk7RR8pQjWlMtWs+r3KaCMYbx48dL0hYACDGs1cPItFHXrl3x+OOPh5RZtmyZ7vEjFepCLXaWgLzt0kvMqIbS/+Z2u2MmxgsQY8JLy5YtMXjwYLRu3RqZmZl44403cOONNyraVAhMmjQJaWlpgU+DBg0iWGNtrKrozBhfffLJJ4qNhJLbpIDawyuWtu0MuGTk/EZUs3arbuVBmJSQ11XPsl+I8/Lqq8brYTSXjkCsa16EIHKdeqag/JkTKHf6BLr8Rynis/z54gC8LFoOrXvNmlypPZHMGEhyrAdhJcbL//4X/P3BB5zuf2H0/fb5fJgxY4bic+PxeEKMamfPnq05wlWb6nDCxkwPoY3at2+fZJ3W+6xVB6XM1j6fLyQRY+vWrVWPoWSnp4Z8sKvkPq43qJK3CdFErInPzc3FgQMHNMurPTNKbf+YMWNiKspuTAkvSrRv314zVfv48eNRXFwc+BQWFkawdtrYYW+gZ3zVt29fQxoStZGBOJaC+IENN+ASY0z1+pU0L5FWzXIcpxqkSny/xdsPHTqkGINB7F76xRcMjRoBpXGeDMIbrBrNpWO35uWTT+zLopyTA9x2W2gQuf37lTqyJ2TLDHpCB8cJ9kTya35b9NuqkPtJ4NeZM/x12JHXyOVy4aWXXlIdlNx7772S8krTxmKE/1/eiZgdFdslyPh8Pvz999+B5Z9++gmpqamqgx+twYJaZNwKRvJcQNlOD1C/VnluHzlGBlXyNiHaiO9Bnz59JNvkEXbVePnllxXXx1KU3ZgXXjZs2IC6Gr6nycnJqFKliuQTK0QiaJwa8pgP4pHBxx9/HFj/bdBPFcuXL5fsE06UTKPaAPG8e9OmTS2fzwpqApPa/d63b59iDAbxfRowgIk6bqOYy6Wj10CK8/4YMVq99z5zmh+t8wYHqXJj3E8V9rjF0nl69wY++UT+fIk95ay+d+JMwFsB8JF/wxHqXC4XxowZoxmpVL5N/K5OmTIl5Jg+n09RI/CHXtZLKL974eJ2uyUah759+6J9+/YYMGCAbh3kKGmcRo8erfnMnzlzJjAtp6dJlaOWJwrg22+jiWn1iFRnr+Q6LceIq3T//v1VzxErUXYdFV5KSkqwceNGbNy4EQCwa9cubNy4EXv28PEUxo8fj4EDBwbKT58+HZ9//jm2b9+OP//8E+PHj8eiRYswfPhwJ6sZ01gNCiSP+SB+mJ94Qj7i5XnllVcinp5g3759gVGm3DvLadTuq3i9PKCeUkMmbYwZgh23GYzn0tHSvMjz/qxZY+TcP8KOLMp5eULGay+AwUiGH18D+Bp+JIdoWYygLoT06iVtlMVTPsDdFs4l5ycAXni94eU1+uijjySGrgJaHiHid/XRRx8N2ffo0aNYuXKlqelDAaEttgvB60jpGtTyD5nVTkydOlUx2qvAgQMHkJGRgRkzZqjeA7X1ehodq4lp5eh19mfPnrXFZsasZ5TafdEaeMeK15Gjwsu6detwxRVX4IorrgDAz5ldccUVeOqppwDw7rSCIAPwf+DYsWNx6aWXIisrCz/99BMWL15s2tU6VlALQW8Gq0GBtBoytYfbTj9+tfN7vV7JCPHKK68MjDL/+ecfxX2cQOvlVGtE0tPTDUyl7YV+QkA1jOXSUeu0lJMbqts+BbkRdmRRzssTfq0EwOAuPfKN4APth6LX2Q4KWSP8b/Ln6/LLxUuddI5rBAY78hrVqlULHo8HDYNuUiEeIWY1IDt37kTfvn31Cyowbty4wG87NC/9+vVDdnY2du3aFbJNzTZn3rx5YZ9Xnm/I7/erTnVoIX+XhL5KjJ4G2sj0ul5n//vvv9uSy8iIpijc/3306NEx4XXkqPDSuXNnMMZCPvPnzwcAzJ8/H3nBFg+PPvooduzYgVOnTuHIkSPIz89Hz549naxiRPnjjz9MG3QZeZjNxsFRe7hdLpdtErXaC5KRkYH/iYbJ4lGmeN7cDgRVshJaXmlqXhSAkam0nbBuc2Esl46S5kVIBhma9yfP4Lkjm0UZAPQHrKkha9SEF/FytWp2xIXiYGdeI3Fjv2rVKl2PkEggNrI1gpIRrGBIKxbOBNTapeHDh4etYVCyVfH7/arTQO+++67ievm7lJSUZLouZj21tAg3mabH45EEhdXTFKsN4rQMeZU0idEg5m1e4hn5A/Ddd9+ZVpkKD/PatWtVLei3bt0ask6tQXS73Xj2WaVop8DgwYOxfft2W6aO1Ax2I2nQNmPGDIkLtBg9Qz3rhmmNYf21mgmATxXQoUPQbkWpbnKCySDleX/MEF4W5c6dhV8dYMTuRP9RsOZFNXVqOd1z65MFwAOPx568RuL4Ie3bt5cMSKIlvChpS7SQG8GKUYrrpJaaQG4zYcXNWMmLxu12B6Liyhk1ahTWrl0bst7K1JsVzGhTtALnGbGjFKcweOEFaTDHcO0wZ82aFRNaF4CEl7Ax8+JZfTF8Ph+uuuoq1cZDnsUVUBcStm3bhttvv11x26xZs2xLwx4LsUdeeuklVfV61apVdfe3bpimLBxq0whCdNm+fYGmTYN2K0r1EiNNBqmf3FCd8LIod+4M8ANxpQi4odFy9Ql9hoTGV6vTGTfODs1LKwC8Z5NcgSC880afca/Xiy1btgSW5YKx2nHksU3MotcmidOXhDtgCZ3Gu1xVIyG2mTCbVFBAKQLxCy+8oOnhJBcahfVq13Hy5El88skn+OSTTxAuZgZCZjTpXq8X+6UZUCXXkJaWFrJPOG1zOE4cdkPCi0W8Xi/GjRun+eIpBZ+yitlYHmrCi8/n0zVqi4Y7nNxjwQ607pkRrzSO4yx4QP0NQFk41KYAgofS1Klyu5UgOTnKwktQ2DCa3FCOG3ZkUU5ODtTKQOn9OtvVhRet//bIkfA1L+XL8y7kcnO7qVOnomHDhujatauh0PKAeuwSNW8jgcqVK5urtIyGDRtqCgOCF6cd2erl15AcfBBCmDFjBjwej2pSQSUuuOAC3Tq0bdtW19ZP3q7t3LlTUkaczmHx4sXo27evZfsiMUYHQkLmZiMI/5vYY1TpvHKMTBvFwuBTDxJeLNKgQQNMnTrVVEC5a8Xxxw1ixJJdsCESoxak7oILLsCnnyq5rUoJ1x3uhx9+MCWsFRQUaEbljQbymAhGrmfq1EaoXdvqGcX3W2y3EmTUKODcudDRYjAZpAdAqHutPgVhZ1HOzxd7G8kTZSrlIrpJYV3weU9JMS6wS9voHzXraYRz5ziMGSP1vJoyZQrGjRtnumFXyzAvaB/UBhq//fabqfPIYYxp2k8wxmxLOmhmf8ENd8aMGYpJBZUoV05bIBXs9fTDCATbNa/XG+J9VSBPJmYTRj10Jk6caEi7ofa/yXNJ6d0PvenzWIaEFxuRd/jyzu7iiy82fczVq1frCjAPP/xwyDq5Nb6A3+/H008/rXvecN3h5s6dKwmAp4fRPEKRxIoR8YABdZGXZ1XDJtxvdbuVwkLgl1+kDbzPxyeDvOsuYY14rqmVwXN7dLMo66E9daX03yo1rB8EfnXsaFzzsmCBePktnZoaoUTiOu71evHf//7XhuPyGM0Ar0WrVvr/rZZ2iDFmW9JBLQNqpbJerxcvvRSa/kFtykSvjtnZ2YbaEHG7phX81AxGNNRGQ15Uq1bN0DnV/jf5gFOpjNh2UpxSRkystcVKkPBiI/IO344gde3atdN1xVNqoLTiF+g1BFoZY43i9/slbvBGiLUXxu12o3Hjxqb2YYxZ0lrwgotwv7XtVsaPl2575hng00/Fxr0firZugRFycxF2FmX51NVJ8Ga7HICThpuaYLC5xo2Nu/tLzRLseI4+kLiO//WXcjRmIyh1kuKwBFaPa6R90bOfUMpKbAUz1yCkD1DaZ7RKaGq9Nuvqq6/WPa8wJSO0a3ZF9TYy5ZadnR2wlRKcL6xMywv/lZpLdLNmzST3Vd43nDhxwpCxuFqMnliChBcb0cu6abWR0lMjKjVQWufS0+SMHz/eFsOsDRs2mCofSU8kIw22VQHOWmcgnmtqDi1vnePHpQ1ScTHDHXeI7WTGKe2mSefO1qaKxAhTVxznAfCcaAsHowa74jRmWs/wl1/Kt22SnS9cGMSu40ePWs/1pSQgaAWpM4o8QWO7du0ky8IgRA3GGDwej2okXDMoaV7eektZA8YYU+x8tdxw9eyLhHuhdS/nzZsnadc8Hg8uueQSSRkll289jLRbYsNkcWwrOUafBbXgeXLtk/y+lZSUGDqHmhAZS5DwYiNt27aVLNsxojGCkkHZzz//rFpeb9ooWikWYknzcsEFFyA7O9t0naxeQ1ISYGA2r5QvZctiz4twvI3Cw+0W8g4BwB2iLU8BuNnQMS69VDt8Pcdx8PmA8ePl20QpoWE9ToaUoOv4+fOhnYVRYcbj8eCWW24JLIcbpE5Abtcm90769ttvDXksZdngC75w4ULJclFRER566CHFsoLQJL+fr7zyiupg4ezZs5rnP3jwIHJzc1UzbgNAzZo1Q9bJE/lWr15d8zxWUbJPCXewZmSAKRdeKleuHJUEnk5AwotNuN1upKSkRCQtupyPPvrIcNnatWvj1ltv1SwTjQfX6/Xi33//jfh51bBaF62ElFq0bQsEs91vh/rUhxfAZNm6TxHMpaSttXGa3r15u5k6dRiSwac6/ASfo2bl0wql24as+eEHbeEF4A2D9+3TekYv0dhmBqnruLyzMOPS2qZNm8Dv1atX2xKkTi8Jbffu3TVjs9jxngv2K88884xkvdxwVIzQacvvpzhVjJzdu3dr1mP8+PHo2rWrZvBJI8KmU21fJLXKWga7KSkpkkSgVtoqK3F5nICEF5vo379/IBaL4KIYKc2LmRfD5/OFxAWQEw3hJSMjwzFLfyU4jtN8+fbu3avZAKvBGMOyZebrc+gQEMyOoOXurGYMKxjqeWCf5sEavXsDeXl8eoDbAdyO3zByuNKIONSdVhxTa9cuZc0Lbxis9cyHEc8/eCbIXcf1YoQosWTJEgDSd0qeaNau903e3ujVTzjvESPZOzVQs1/RO68cv99vuUM0cn6r0352HNfouY8dO2arUCDXvHAch2uuuSaw/Pjjjyvu16JFC8X1VuPyOAEJLzbx7rvvBl4gxhgGDx6M06eVRpv2Y+alPHTokG6+pGikdY/0OTdt2qRraGfFVXzxYoZhw8wLrdu2AaNHC3YnHgBqRtpKgk0wlD3P/abPbzdypcTzk0I7F2Xnu42BX99/H7qV47hSw2Ctzip0esA8AyWu40VFoVmcjcR5mTp1akhnZMYzxwxWcoPNnTsXjz32mOVzCpmXzfDTTz8pdtDvvvuu7bGexCgNJu34L/S0QgDw4osvGjrWwYMHw/aCEl+DXhumFqxTKWIyAMW4PNHSwJDwYhNKL4FchenUtMi0adNMldd7QeNhvjNcvv32W12BSW65b4SnnrJ6744B8IrilajNZ3sAyI0a+yDoqQQA9SzWwT6++UZ+H34NKVO5stK9ErsjK9/LrCygbl2t+2yHIJwKjweYOdOLatVyFbM4G0HwKjIbZNIKaulD1Ni3bx+GDBkS9vnNGrX36dNHcdQ+atQoRwcx0Zw2MupmX7NmTdu8oADlGGBm4sDIUYrLY1cyX7OQ8OIg4nwmgD3ZVJW4WymGfBiUBeFF7xqtGu7t389gbdriT/BB6fgGXducoptsuR2C0XijOw8N8AHjRLk3S3k0pJyGeUIpJSFrCgs5uN3AxIla/1/400a33AI8+eRcPPAAryK/8847LU0DC8HTxM/bvn37JDYD0cxtFA0tK6AcTdfpuuglKVRaNoIRbZHRa6tWrZqmMCh+BtU0HnqakMN8JEkA6tertl5+D8ONBxYOJLw4SJEsu51TjZTdx41WgxZJ9DqiI0eOICMjA++8845kvb6KlAHYZbFWfGZnqQZGTi4AeVK6NQhG482ANM5L5MnPB/75R/+ZLC7WLRGy5scf+aBx3bppPaPhTxsdO3YCDzwQVJFbfcceeeSREPfVzMxMzczlRlFT7RtFnNsoGsin3bQ0I+np6arbjOKUl00k28t9+/bB6/VqpnTQCqy5fft2jBsXDKXw3nvvKZZTM3kQT3/ZEQ8sHEh4sYk+ffpE7dx2Cy9lQfOiZ/cD8I2SOO7EsmXLDIyyigCEYwAZdM9VpiuAe2TrchCcKvFDScsRSYxnpNZ7zg4prr33XqlLdSjhGaACQF5esS0Zh3v27BmyTm4zsHfvXkt1TEpKsrSfQJ06dXDppZeGdYySklDtmFHk3lpTxUF+HMApg1070XvGFi9ejIYNG2Lw4MGqQpNWYM1Vq1ZJzvHHH38ollPz2hL/Z/369YtqosbY/zfjhN7hhCbVYO7cubqjfRJezGM0cq54dPjqq68aGGVlItQmxQxB91zjyP+v6GrO9A1qjRJqJwOcxPHjwLFjWse3I+x71ZA1Vjo/sRG/Ej6fD7t2WdXUhY/c88ksxfrqM0WEWDdi7grmtwhBK36LUf7666/AdJ3g7iuPlaMXTyYWYIxpttE//PBD2OdQE17GjBkT+J2SkhL2ecIh/PSrBADlAEh2MHToUHz4ofY0AE0bmUct+qcct9sdEGCM3edw/gvePRfwoGZNQJTg1sB+sSNwdugAuFzAST8gNG9KWa70nRSUrqkEvF3PRI39zGYCV6MmgOCf0LNnT3z99deBZfGzoYfasxNONvVw31PGGM6dOxfWMawGtNywYQMuueQS3H9/0DNO6/2yI4Gg4C2mlZncrnxH0cLr9doSHVdu8qBEOFo3OyDhJcbx+Xy6c7V2Cy+7du3C2rVro/5wOonRe3bHHXdgQWnSIHmWafsZBMHLyLjgAsSS4AIAK1cCfj9fJ+OpOY1yCEBDaF9zZRvOsx9iwQUIxmwRMPIsaGlehFw7Vm1Xwn0W7RBeUlNTLbnK1qsX6hH3+eefh1UXoySyZtmuRJtGsKp1swuaNrIJp14It9uNzMxMzTJW58zV+OCDDwL5N8o6n4gy/ulFJg4fcacbfa8hqxi3eTlj4ejroS+smY93YgS7w7svWLDAUgoKgXDbnP3794ctvHAcZ0lboVR3tXQCsU4s2dKkpqZqDnY7dOggWQ4nkGq00sgIxM5dJxQxYs2tZV1OhId4WiAnJ8fRcwUTgc8F7zUUnwg2L0kA5pV+lE1LTymuDZ8aNhxD14/bEBs2bFCN1Cx40ERLeOnSpYvpzO9KdbASlyQeshYbJVKR1I3Qvn17U89Fp06dLJ8r2jYvJLzYxMaNGx05rhFr7ooVKzpy7kQmlhocAd470QtgCKJtdBsOWVlAWhpDOfATYYOgNj9dQXFt+NgxIlwJwJhRtxZjx45Fw4YNsXz58pBtQidjJjeZmHCNWP1+P/bt2xfWMUpKSiy5yo4dOzZqkVntfvft1LqHWzc9beCqVaskyz/++KPlc0XbrICEF5t49NHouadG+yGKRx544IFoV0GF6GWFtosvvjASwwVQiuMixWrwq/BdpfmpKXuaR8YY1qxZo7je6/VaDs9/0JxhlCN8+OGHlvLbRDMya7jaJjnx5OBgZ2oKrSSYkYCElwTAyXwgiUq052uV4aCdlDH28fkAPjSOkUZRb7rTaqTc5yzuJ2enTcdRhjFmOqlhrMEYC4mUawSXy2Vq0FWuXNnwLYn0s0A2L0RUqV27drSrQNjCcfCaF2N5UGKR/HzBBVo7c7kxTljcLz6EAav2IrGGUXdxMX6/HzfddJPh8vKAduEQLY1PLCLOMG0WsnkhdNFTy4Y7b10WiUWbF960tSsAvQy04YdKd4qgp5F+pt2yDmMsaqHV4w07gtQJRCsXTyzSokULy/tGW2NIwotBrMzr2oHX6w0EV1KDvI0SDb05dOWw+bFAMGBrQwOlwzeIJcoGVrQ7aixbtsy2Y9nNtm3bImrIbKdQGGlIeDGAEQHCKVauXKlrEEbeRkSskJUF8Am5jUxlOhOVOp6IlscNwNudhJseQDhOPBGtttwIM2bMiKgNYzjCC2le4oBIRi2UY2R6484774xATQhCH7dbMNjlo+vWLP3YH2k3/vnmm2+iamz//PPPo2rVqmEfRyn5ZCwT695BkawfaV4SnObNm0dtdJGZmYlLLrlEs0y0JeB4JDZtXoySbPsRP/3UvmM9/jgf5wXgJ7jUJ7n0ntvYte2xgxkzZkS1I7VDcAEgyfdExBfRdncOBxJeDODxePDmm29G7dwNGxqxHyDKDlbC6mtz113AwoX2HMvtBp56ykhJPVfoeBYw9Ql30JGcHJ4Qm5+fHzUh3mo+J8JeFi9ebHnfffv2RXfaM2pnjjPuu+++qJw3mg8HUXbw+YDbbwfsyoBw7bV8eoDXSj/K6QH0nu3w8u4kOuXLlw9r/w8//BBnz561qTbmiDc7mUgSL/dGmPaMljNLfNylGCBaIxSKSeAMv/32W7SrEGPwDdCQIbwgEy6M8ekBhpV+rIUYi07HGi/YkVX633//tak25qDwDuosXbo02lUwjN/vx9ChQ6MyyCbhxSDREl6aNWtGNi0OsGTJkmhXIQyciDY6BIAXhw8Dz9kVoDZsTlvcr4mttYhV7LCX+ecfZzJwE9axwwMskkQr1QMJLwaJlvDi8Xhw8iT5ahBinHgW/QBmAABeeSV87Ys9ArfVzrmWDeeOfWLda4awRrxMGwm43e6oBP6Lr7sURaIlvMydOxd5eXlROTcRqzjl3jgNgvYlP9+hU0SAcuXKRqd+5oz9httE9IknT0iXy4WZM2dGJVI0CS8xzuDBg6NdBSLmcGoa0QeAV/8WWc2JWEo0pzqrV6dpViJ+iSczAcYYunfvHpVzk/AS48TTg0zEO24AvPo3zqbdJRw4QO8MEb/E03QgYwyrVq2KyrnLRp5xgiB0cAOYCY7zwOPhw/yHQ3SF7vgNvEUQmzZtinYV4gISXgiCAFAAjuPnradP5wPNhcspAI1EvyPHtoiejSDspH///tGugmE4jkNmZmZUzk3TRjFOvOUNIeIVXuOycCHQu3f4R/v+ewYGYHfphyZyCCLxmD17dlSMdQESXmKeyy67LNpVIMoA330H7Nplj+Di8wEvvRT+cQiCiG2ys7Ojdm4SXmKceDLeIuKXvn2BL76w51j5+bzRbHkAk0s/4QWyJwiCkELCS4xD3kZEJDh8GLjtNntyG/Fu1rzwMq70Q8ILQRB2QsJLjBPPKcuJeILPbTRyZPjRdePZzZogiPiAhJcYZ926ddGuAlEmGArAC683/Oi6WVlAzZqkMSQIwjlIeIlx1q9fH+0qEGUC+6Lrut3AmDHh14ggCEINEl5iHLJ5ISKDvdF1O3em55YgCOcg4YUgCAAzIcR6CTe6LgBQLlGCIJyEhBeCIADw8RqmTQs/um5ODjB+PGleCIJwDhJeCIIA4AUApKeHdxSfj/dYAviUABeVfiKbHoAgiEgwd+7cqJ2bhJcYh+O4aFeBKBPYY6ybnw94vQDwDxiAzaUf0sMQROIxdOhQePkXPuI4KrysWLECN910E+rVqweO4/D555/r7vPjjz+iTZs2qFChApo0aYK33nrLySrGPDfddFO0q0CUCewx1g0KP4XhHYggiJjH5/Nhx44dUTm3o8LLiRMncNlll+G1114zVH7Xrl3o2bMnsrKysGHDBvzf//0fRowYgUWLFjlZzZimdevW0a4CUQbgOA8aNAjfWDco/HhQHsDTpR+KsEsQiYfb7UazZs2icu5yTh68R48e6NGjh+Hyb731Fho2bIjp06cDAFq1aoV169Zh6tSpuO222xyqZWxDrtJEpJg+PXxj3awswOMBvN6aKA9gQun6KQDOhXdogiBijBdeeIGySgPAqlWr0K1bN8m67t27Y926dTh3rmw2fSS8EJFg4UJ7Mkq73cCMGeEfhyCI2Kdt27ZRO3dMCS/79+9H7dq1Jetq166N8+fP49ChQ4r7nDlzBsePH5d8CIIwhx2Ci/hYEyeS0G2F1NTUaFeBIAwTrSkjIMaEFyDUu0bQPKh53UyaNAlpaWmBT4MGDRyvYyQhzQsRCex+zq6+2tbDlRlq1qwZ7SoQhGGiNWUExJjwUqdOHezfv1+y7sCBAyhXrhxq1KihuM/48eNRXFwc+BQWJpaXAwkvRDzy22/03JolNTUVSUlJ0a4GQcQFjhrsmiUzMxNfffWVZN23336Ltm3bonx5ZX+F5ORkJCcnR6J6UYGEFykulwt+vz/a1Ug4GGO2xhQ6fNi2Q5UZUlJSKK4TEVd4vd7ENNgtKSnBxo0bsXHjRgC8K/TGjRuxZ88eALzWZODAgYHyDzzwAHbv3o0xY8Zgy5YtePvttzF37lyMHTvWyWoaIlqBeAgpRt3uiehSvToJ3Wbx+/0kvBBxRbRivAAOa17WrVuHLl26BJbHjBkDALjnnnswf/58FBUVBQQZAGjcuDGWLFmC0aNH4/XXX0e9evXwyiuvxISb9Pbt26Ny3g0bNkTlvLFKerjx6wlF7NbwXXopcBpAu9Ll07YePTE5ePAgypWLKWU4QWgSTYNdR9+Uzp07azaK8+fPD1nXqVMn/Prrrw7WyhrNmzePynmXLl0alfM6xVVXXYW1a9fS1E+C43Ix+AGsi3ZF4oyicPMzEEQEIYPdOCBaf1Ki2bw0a9YMq1evtrz/kSNHbKxNrFI/4mc8fz6xnjOCIBIbEl6IiMJxHNq1a6dfUAW5N1pisjfiZ/zpJ3uPd/48Q3kAY0s/lB6AIAg7IeGFiCjhGiTWDTdzIKHIvn32al42beKFlymlHxJejBFNNTxBmCWajiwkvBARJVzhhbwxnMFumbBMzO45gM/ni3YVCMIwGRkZmDt3blTOTcKLQchV2h7CFT727dtnU00IMQcP2qt5qVaNbGisQAa7RDzh9/sxdOjQqPSPJLwYJFqu0omGUeFFLaJyvXr17KxODHJrVM56991ATo59xysutu9Y8QppCYmygM/ni0q8FxJeDBItV+lEw6gQeFglROtvv/1mZ3VikIsBXB6F8zKMGgXYMWuRk0OJGQHgpptuMlW+cuXKDtWEIJzD7XZHJd4LCS8GIUM6e/j555/DUjG+8cYbNtYmFqkGoFEUzutFYSGQnx/eUXw+YORIe2oU75gVRipVquRQTQjCGdxuN2bOnBmV/pGEFyLirFq1yvK+iRb3JhQO5cpFY7phJwAgXJOL/HyAl00PhF2jeMftduuWEU8tkbEuEU9wHIdJkyYhOzs7Kucn4YWIOGpTQmJq166tuD7R7QgqVXLhP/+JxjU2ARC+11FQ+NmL0wA6l37KYnoAI6H++/fvLynvclGTTMQHjDGMHz8+as4s9KYQEad69eq6ZSpUqKC4ftiwYYZGtPHD/ZKlSy7hoiSg8VF9Dx0K3eLzAXl5wIIF/LeWgiAo/NSDH8CPpZ+ymAzCyHN6yy23SMrPmjVLsVyiC+1EfBItY12AhBciCnz66ae6ZZKSkhTXd+vWDQUFBViyZInd1YoSUkO3NWs4fPZZNOoxHwAwZoxUOMnJARo1Arp04T2SunThl9U8k7KyAH76u6az1Y0DzE4bAVBVwQ8fPtyWOhGEnUTLWBcg4YWIAgsXLtQto6Vy93g8yMrKsrNKUUTewe0GEI1R9sOQG+3m5AB9+gg2LF4AuQC82LuXX68kwLjdwIwZAMBQDsBDpZ+ymCvZyLSRWHjhOE414FeLFi1I+5JgxPsUYTSNdQESXog4Y/ny5QASSY0ufwWnAlgbhXr4APDq36KioNcQbx89C0BDAF0BZIAxvoNVc63u3Rvo358hCcDrpR9lPVpiY3Z68/z58xgyZIjitho1amCkTW5cifPuxDfTpk2LdhUs88knn6CgoCBqxroACS9EjHLs2DHF9a+//nqCRTtWupbdEa8FrwHi1b9164q9hrwAHgAgeHn5AQwFY9qu1Xfe6XR9Y5+TJ0+aKn/+/Hn4/erWQT169Aj87ty5s9Vq4YUXXrC8L2Efo0ePjnYVLHP77bdHPXwICS9ExLnnnnt0R39qYdL9fn/UDMQEwsmKHcouG48VDq8A8KBBA95uJXj7tyMouAhItTRKuFyJ7tKuz/Hjx3XLiN+D8uXLq04lMMYkZSkmTPyjJagS+pDwUoaIFS+d+fPnY8KECZb2dblcaNasWVRV3+vWrbPxaLVsPFY4DATAa0zcbrHXkFJkaamWhlAmPT3dVPly5cph1qxZqu+p3D7GKgcOxE8MnpYtW0a7CkSMQsJLlElNTZUst2rVyrFzCUm0YsFQTC13kR7Dhw+PurrS3kB5s208Vji8AwD46CPejkXwGuI4D6SeQ24AM8FxQS2NEokfTFAfK4OF7OxsFBQUIDk5OWSbWGAJ5x1Wi6EUi5QvXz7aVSAUiIWp++j3YmWc1NRUNGzYMLDsZMfMGMOcOXPw4osvOnYOo6jZtAioNbA33HCDA7Uxh71aH3knP8zGY5thJMTeRkGvIQAQC9gF4DjeSG/6dL4cocyrr76qW0bpWfJ4PCGCD8dxtmle/vjjD8v7Rhq1eE9EdMnIyFD1jIsUJLxEAL0RmHh04fR0iM/nQ9u2bR09hxEOKUVDM0E0p40uvfRSB49+BYCrHDy+GqF2LL17AwsXAm63WMDyoFo1YMIEoFcv9aOR5sX8PTh//rzmdruEl/fee8/yvpFGSQNFRB9Bix9NDQwJLwYJ50965plnDJd1ulOOZlAhMXqq63/++UdxfSy4eW7atMnBo3MAmjp4fDWU7Vh69wY8HmknfOQI8PTT2sHqAOAMgBtLP2dsrm2iILj+A7yRujCaVRJ87Jo2ioRg6ZR9XaNGjRw5LmGeaEbXBUh4Mcz27dst7/vUU09pbo9khzx69GhLU1N228lYtXkR7lU0JX57G3/pfS1XzoXoBKmbrmrHcuKE2CvCWLA6xhh8AJaUfijloDKvv/66ZNnoaDYWhHg5Yg2yUwKSUzYwgrAVSXvAWLA9DIdoD4Tj++5FkObNlbwujKHlEid3gXSyUXK5XJYCXbndbtx///36BU3WJRz+/vtvm2piHvF/FP4Ic6pk6fx5DoC5+CD2MABAqB2LzwccPSruiDJgNFhdWcfIsyHv5LVGs3a1E926dbO8rxbi67XLDThSQtpff/2F3Nxc7N4duRhLn0UnD4gtRDu6LkDCi2GWLVtmeV+9jjpSwsusWbMsPWwFBQW49tprba2L3nXWqqXsQizs17Sp8akVu0c44mR6BQUFaNCgQRhHk7vTcgD+CuN41qhXj7dv6d1buj4/H/D5xB2RX/StHqyOMT49wD2ln7KWHmDMmDGGBGz5e6A2mpUPcsJ5pq+77jrL+2rhxFRRpGynGjZsiM6dO0e0M44nry850Y6uC5DwYgiv14vBgwdb3v+1115T3WanF4EeVh82j8eDDh062FoXvca3SpUqmtvNNDIvvvgicnNzDZdXQuzCfuWVV0rqkZKSorKX/uv1f/8nL3MEwBbzFQyTTZtYiOACCMa7ah2IerA6xvj0APNLP2UtPcB1111nSKgdNizoXaY3mrWrnTCS1d0KTkyDREp4icZ0dDxPG0U7XAVAwoshtm/fHtZLdO+992put6tRuuSSSwyVs+LiZvfDavXFFQJsmblPNWrUCCucOiAdJRmvu/4zc9FF8tHqfuOVshG1QTNvvKs2BUDB6tSoVauWoWdUPIXz+++/BwYY8vYmkoMcqziheZFfp1PCjHCecGwbzXLw4MGInSsRIeHFAM2bNw+rsdDaV6mRssrvv/+OPn36aJbxer2qyd+MYlRI0kLvOtUaqYEDB0YlvoC4PnLh5dQptWvRb2i3bpW/grURDYNdtfudlaUW6l87WB25SptHb4BQFoWX06dPR6QOwjvdvHnziGlEbrrppoicJ1Eh4cUAHo8Hs2fPttxg6O1nZ6OkZwS2ffv2sI3pqlatGtb+gHXNC2MMQ4cOxd69ew3vY3dDLz+eTngOTY4dk9etOoBM6we0GbcbSE1Vel4SOVidPc2i3VMQdrUThw8ftqM6ITjR6a9fv16yrBcLp6CgAHPmzDF9HuF+ejwezJo1y9C1jBkzxvR5xFBuo/Ag4cUg2dnZ2LNnD958803TDYdeRys+3qlTpwwfV+kF8+m4fURyZKFFXl6e5natkbvP58POnTttrpF1ypULx/5Avi8HoEVY9bGC1v0uV06pkfXA41E28tU7XuxjTwRqI1MQVgUSsxoJMf/9738t7ytGXt9w2hWj115QUKC53ePxSGzSjB5fvD07OxurV6/WLX/11VebOgdhL9HvxeIIj8eDBx54ALNnzzalntTzhReHyv/uu+8MH3f16tUhDYZWvdauXRsYWZhBPk0T7kvq9XotjY4E3G63KW8jOxqVPXv2qG5LTVU7vv7rddFF0jIPPwwkJ8dWI6gkiOTmArt2KQsu8Y89EajDCa+ghPg5LikpsfXYVpA/F+EIL3p2gWZQel4feOABU8fQyxx/5ZVXhnhE3nfffabOQYQHCS8WEJKn3XbbbYbKa6kH/X4/9u3bZ6ke7dq1w8yZMwPLHMdJluW0b98ec+fORXZ2NjIzjU9NyANnhSsMGBmRqo3cXS4XZs6cado9OVwV/q5duwK/jV//D7ol+KB0QVq3Btzu2LF5AZSf386dtaeK4lvzYk/gLSNG7uI0GeLnSi/Crp43XiSQD5TCEV6cvp60tDRbj9esWbOQ/0ieZJdwFhJeLOLxeGzxwNGbw9VD7P587733arpDi/NRmMkZYncY6HBGpC+88IJpl2+O42z1IjAuvOi74MiP9ddfDCdPxr7mRYzPB+TlAQsW8N/CzOUZALeXfuIpPQCfSTsyiEfrZqY2KleubHtdzAxK3G53SAiIkyetB1dUO3csTHGrYVZAF19jVlYWxo4da3eVyhSx+2TEAXaMLsO10Jc3aHoaBiuCiDxwVriaF4/Hg6FDh1ra1+roxk4Vvvz61e7Hu++aP1ZxMRANb6OvvjKneRHIyeFzHHXpAtx9N//dqBHw8898eoCFpZ/YD8B7ja1HU8vNJcdMGyJ+VsTCuF22FowxQx0qx3FYtWpVyDTJ0aNHLZ/733//DVnncrnw9NNPmz6WlfthxYNR/t/pZevu0qVL4PeNN94Y9SBv8Q4JLxFAS0Bxu92oU6eOLecxomGwko/CiTDQehF71Rp1K3FeGGO21l9so6RF+/b6dWRM+gpGazbg3nuDOYrkmhSl/yIvDxg9GrjtNoCXl6U5j156KZzaREPzVDPwa+HC8I920003me4QtZ7pw4cPS7avXLky8NvOKbpp06bplmGM4cSJE7YaqCq9U36/H2fOSHV2ZmzdzGAlQ7L8vv/wg/Y0sXj78ePHY8bAV+ifzAyko5lbToCElzAw2mjoWciL53v1DMX00NIwWM1HIR8h2PHSWVUHP/PMM6Y7BbvtL5599lnJcjj3Iztbuu/s2ZzMYFerQbHTP5lh1Ci+45ZrUk6eDNW8dOnCu0jzzEVoziMGN4A+pR9zNY2GvUzwnHYYIQtTtGbQeo5GjBiBL7/8MrDslE2RnrciwNezWbNmIe+w0TQoSp2kUvgFt9sdEkLfqXAVZjXSjLGQ/8DMfzJp0iR8+umnhsvbjfh+FBQUIDc3V7efEpORkRGVeFtiSHiJAHrCglgtn54uz3VjHI7jQs7ldrsxefLkwMNph6oyEsKLWkMgxHlRk/yVjhtuQy+Pbmo0sKDfr3+fDh+Wljl6FDhzRryuALxGQwk7J2P2obAQuP32UE2K8v0Ttq8FMATynEfAISQD+LT0Y9zCKlrYnwzTiCCg9h7Ip+oYY3j++edtqZcWRkffy5YtC6n71KlTVUoHGTt2LH7++eeQ9XIbHmGgJc8+X6lSJUP100PJS9OsRjqcdoUxhqeeesry/uGQm5uL4cOHB5Y9Ho/pvE5i+8loQcJLGBh9ePX+YHFDpZ4nxzwulwsFBQUYN26crUnH7Bj1WY2wC2jHefnggw8M5THKkoeE1eCRRx6xdM3GMhIsly3nyZY9AAwdKEzESQSlmhRAyahc2H4VQtMH+BCtNAfWMe567HK5MGXKFN1yWs84x3H45JNPMG/ePMXySoKPXUHN1AQmQWDQQy1QZP/+/QO/s7OzQ87DGMO0adN0By733HNPYKAlv4cVKlTQ3Hfu3Lm6nloAQsJFWNFIC1PYShjRLEfLI69z584Sbb9VAcRuRw6zkPASATIyMlS3+Xw+SaNkZxoCl8tlKMmbHcyfPx/PPPOM4fLheBFojZL69etnKICdWtZqJUaOHKlZX97INpT9+43c41dky+8AOBFYys0F3n9fbV8j9/AuABcaKNe49NuLUE2KkvAibFdLHWC2UVN/RyKD9qBB+P/dbjdmzZqFHj16GCqvxkMPPYTbb79dUdPq9XoVBRXxMcN5fz7++OOQdTfccIOpaQOfz4cZM2ZI1i1YsCDwu0+fPpJl8X5KMZPE7VFGRkag3ZIHsxRHB05KCk33OXToUEVjaXl7J9dAW9FIq3X606ZNw+7du00fL5Js3Lgx8NvqFJAVbZWdkPASAbRGTHLhJVLYLfVfeeWVpozprDa+enY7SrYGStdaJE+DLEPc2AmB/QSVunSEDHi9akLKJ5rnKK2xwvLxwNKRI8Bjj6ntOxb61iQNYSyn8yzwgst2hTqZZRKAD0zuo9bYuwBMBnB5OBVSOa4Y7RH9O++8I5l6lccZEk+3DBkyBAsWLNB8x3r16hWyTi85oFizMXnyZMOGluLtt99+Oy677LKQMoLTgNG8Zy6XCy+//LJknTxcfocOHUKEBrfbjSZNmhg6h9frDelUxQMTpXZTTThygnr16oWsc7vd6NOnT0j7pOQ1pTWAdCJPlIDX68WSJUsCy1amgIR4W9HMLk3CSxjY5SrtlOYlVqzZlbBi8/LWW2+pqpPFGLE1WLVqleq2J598MiSEuhCYMDc3FxMmTAisf+45wOdTq8sTuvUIfQVdAKoGloLePErcBOA3neNzqFbNyHP6JnjtxzqFOukhbmirgo9Qa5dwvAzAOAAdbTqegDyBaUHgl9Ljs379esnUq/j5e+WVV/DCCy8ElmfPno3du3drPuM33HAD5s6dq5geQCmFh8vlwt133x1Yvvvuuw0bWorbl/bt26uWM5r3zO12Y8yYMSFl5e+dx+PBiBEjJPsZ6fCEd1+vPkoxstxuNxo2bKh7DXYg15ppXd+ECRMwadKkwDLHcZppGuT/qZGpcKNs3749pH1V0qRp8dFHH0Xd1ZuElyjjcrkcE16cwojQpjdysKJ5ad26tSFJX35upfpqXUPPnj0VI3IKhm3Vq1cPrNN+341oMMbLlgcBkMeyUVPpcgD0Iw0bD7/hL62POLePkWdKbCfBAWhucD8xauXrolIloHx5u+0D5J4emwK/cnJCpcVXXnlFNcq0x+ORdESMMYwfPx4vvqieI0kY7Yoj7IqPJ9b0CVNV4pAKgnG+EVs2IwbmHMcZznv2888/K06lit874Zw33HBDYN0vv/yC7OxsxbZBqU5W8rCNHj3aUugJK27S8vuqJ/j169cv8Pv555/XLC//TzsbM6AzRPPmzRVNDOSaNDU4jjMVod0pSHiJAHodufgh1krMOHnyZM3jRFvTIne/M1pWCT0BSSsipxGjQ61GsW7duobv5ZEjAHBO7SwGjiCfPugEaUcuePMowUFfSPgN5rQgPkhz+1ytVrCU1gDEIzAG3sh4sIlzAvx1C+9J8H2pVo3D0aNAdrbeNZhVs8uPF1z+7bfQaRu/3y8xThQ/P4WFhYpaiLZtg/dRyUDc5/NJUoPIkwOKNStybaPVd10tRtGmTZsMZ1SuX7++Yo40eQgBeT2FDtmoQKJ0jgsv1LbfGjlypOJ6vftlxe5DbrCr5wlZvnx5SX2MeGeFi9J1ezwe3HjjjYFlNU2awBNPPCE5zn/+85+oThcJkPASBps3b9Ytw3GcRF2otF380Gzbtk21bLVq1cxV0CHkgaOU0Hu4rWhejGh8vv/++xB1ptJ+4pGty+WSqLfNdwxq9+N+A/vKz8UAbBEtK3nzCLhQrZpeXb8BcNZAPQTckOb2+UmnfAUop5nqirPg9UiDDNXgGgTdwtcE1k6YwIG3y9T771fBXHMmLxu8j5ddpjxtoxZlun79+rqut+np6YpllOwmBOSaFTsGJ//73/8Uk6KuX78eU6dORXZ2NubPn695DKEe8vfsySefDCkrfvesBEPLzs5GxYoVA8ti5wclt2mjnapcwDBi9yH//+TeVoC2B47YwHj//v2amhe7XJDV2swrrrgi8LugoEDTKWHYsGESW6g2bdrYUrdwIeHFIl6vN8QSXglBhayF+CH+66+/VMvpzeU6qXkRj0q07EWM4lTOkrp1Q/MJKb3A4pHt7t278b///U+yXc/NVYpaFJNBOrUFgC9ky0sgdZfW6rQ5dO2q958zGM8s5AY/BSTuALSFhosv5iDVNvvBCyCHcB6879Q7AM7rNjVVEXQLrx9Y260bf336gmsJzBkaz4JUcLw08Kt6dQ+ee0464BgxYoSkYxQ/A7Vq1QqZ5pHbPiQlJWHUqFGBZaGM2G7CTG4jq+86Y0xVg/vf//4XXq9XN9aU8O4qCQBK55PvZ/bdF1+rWPAxk59Nnn5AyShaz/VX3kaoGeyqeeCINS81atTQvA9OuyDLNWLyqUoxLpdLkpYlVpKukvBiESWjJzW0DEgZY5pTRQItW7YMiTaph13CjNfrNeyFYBSnpo3MHEs8sjVzPOmLD6gLL+qj6iDywGOfQllgCH1Va9XisGqVXr05GA8RVwCOkxvhaR+/alUXRo8WrzkOPv7Lw7KSs6DX3AwaBHz4IZCTEywn3Gt9Q9LmuscXw1/nPaI1QfXRddcBM2bcJSnfunVr2f6hrrfyaR4xPp8PPXv2DCz//vvvYU0FhfNuq70P8qkxvXNrGXgK5xD/b1rCi1YQSPGyWGBSy6WkdH2vvCINSaAUiVzP9Veu+V63bp1kWc8DRyy8+P3+kCkxMdFwQRY/w2KibY6gBgkvFrFiTKaEz+fDiRMndMvVrVs35KWUj3yc8jYy6oVghqVLl9p6PAG7rtmo5oVvv8Vlh5k8k/y+MoS+lm4AqwGMkKy95RYO+/bpPYM3ACivU0bAA48H+ETi4d1Ncw+v16XiDcWnB+hZ+nHjHgChcT8kZ+oG3HUXcPXVofdef6DgAS8gGaN+fUBqGC0+vjckRs8999wj0T6K332hbloGtD6fT9H+wwxGn229dkkrSF2zZs10z+NyueD1evGSgQRW4U4byY8hjk9i9RgAHyFYjBHX3yO8gRsAPoO2PKs2AHTv3l11//feey/wW/BYFBv/i5HXw+5Itmr/sfAMGykbbUh4sYiWmk2MXkOipZXRO3Y4+SVOnz5tuKxRQc3oQ+71enUt20tKQiOeWlVXWtnP6LX07g1Iw9u0CPzq2dPIMZRcpV+E1Hh1JoB2AFpKSv77rxGD3Uth1GA3NxfYtYtPESDdX52CAvXzJwNYXPpJxhkAHaDe5HAQ4gYq3Xtj/6F6xyGnoACQhloRxwbJAPBWyPnFNhFamgIlzp8/r6tlsUvzsnv3bowdO1YSl0gcZO+5554LlBWvNxq3Q0gAa+S6laaN9GxqwskZJNRPDyVNspbgAfCGqwLHjx8PGdBpaa68Xi8eeOCBwLLwPIm5/PLLVc+tFejUaVwul+Q/OH78uEbpyEHCSxioqdkEFi1ahNWrV+sGI1ITDOQeO/LIkfKAbEpp5dVQm6pSqouS62Y4GNHkFCuErdUKxy2gFF3TacRGs5UqBX+L4kBpMB5ST5l7wAefKwBvO1IAwZunSxfpngsWGBFeAKPBhDt3BuR/bWqqkWkpfQE6vQYQ1I6EehUB/LRRTo6yYGCsA1upX0Q4sxuQPup/iH77ATwHOWKbCLOjUZ/PJ3m3hP2dmDbyeDyYMmVKoG3as2cPdu/eHZjS6tu3b6DsF198YTrvmcvlUo1FI6D0vwkamwcffDDkmFpBI5UEoHAxI3go1aNcuXKm8iMptXk+n08Sq0ac+sCIPVGk4DgOv//+e2B5+vTpUU/KCJDwEjZKajaBjh07ol27dpg9e7ZqYyPEcFCK3iqGMaYYOVKsuXnzzTclD5VWAye24BdwuVxYvXq1YnmxoGZVdStgdcqtsLBQt0znzp1DXiyxutco5gx2g5w8Kd5mJL9PL4gDpPEuw0DQeNWDBg2ARYuAPvK4auAAzFc4ZlAoqFzZuPCixAMP6HWox6Huyh2kUyeA4wRbkwIEBTOBY9i7l7/Gr7+2qnkxh/S/Mha7SOicrAgvSoKKmesye07xNJbalFadOnVC1huZNlKLRSNHPm2kNnD54AP1iMziY2jFzlFCbcAVbmLG5cuXY8CAAZJ1WporscGrmHPngmEWxG2vWpRlLZya3ikqKsJ3330XWNZzCY8UJLxEgOzsbE0vIrFgIHZhk6sK9byNlFSRaiglOJs1axbatWunuo/QANavX1+1jBGMTLkpCTfykOxKKKUHePzxx20dKWg3EmJPLP1AThwnxEXhqV6dtznJzeWNV4WpnN69lfY+AEA+inVJ6nDtteF1/Pohc9bDiJfPohwgJQXgbR4FwUxsd/AsGOP/o8cftyq8dICZ4HhS+V2/KRw9erSi27KRupWUlNjiLWTH/nr1MGosr2ekDIQa7FoZuIgHaOJggI0bN9bdd+fOnYpRiPW8w4zwvijp2GWXXaapuVKaBgfUNeBKBsVauFwu3C6a79XTkpt5fv7++2/FiLzRTMoIkPASMdReDOHF9Hg8aNasGTZs2BDYJh+hyL2NlBoBI6HxlcjKyjKsNhYbnllFaPjEWXXFKAk3NWvWNHRs+T0wItQZiUKqtM3r9aKkRFxWbJSq36nL+4mpU3mbk86deeNV8VROaJ0KFc7hhzixY8uWCAversYO9qKkRAjqBwQTQAowAEPBmBd794Y+13odao3AtNRsGGnWHn0UWC5J6C2eznJBLgS5XC5JADQjwotYYP7555+xePHikP2tCiHRNKIUtztqGh21aSOlwHNy5N5F4nZQ/FtJeyynQYMGivUzInjpIW5nlJJEitGbZpNjRJCSJwsV9w9GU0cYQanu0U7KCERIeHnjjTfQuHFjVKhQAW3atEF+fr5q2by8PHAcF/LR0lzEKkYamMOHDwcaOTPu11999RVWr16tGaLbDGpqTTlerxejpb6xAPigS1bU2ldeeaXiNqFx+fbbb00dEzAm1GlpYvSu46efgoHbMjIycPiwOMS7WS3HFxCfztygNAPKnknSRsWs5kV6q34zta86F0BqG6OUANIHPhu1eZuXYH+YDT7Jo3YumClTAKmTX3cEp7N2AwhGP3W5XJg1a5apkblSeIEpU6YEfkdT+AjXcNhqmAK14HZaaE2fGGnrhEBy8vd97ty5mt5hRqZExOfXuydK02wvvPCCIS1U+fLlFQWf1atXqwpfRlNHGEEucHIcF/WkjEAEhJePP/4Yo0aNwuOPP44NGzYgKysLPXr00M38uXXrVhQVFQU+ZtVosYbWwy3MH2qpVOWNd1ZWFtq1a6f4UFmhXLlyALQ7dUDd2NZMJlfxOdQ6Ja/Xq2lPpIbQKOihN2er9n95vV6Jutjv9+PgwV2iEmZfqRfAmNW547oINYCdCY5THgUbRTq2+MZi3eTwmhVe4wIox2URBK/Qe69nsNi7N28XxM9oCtNSevwp+p0BfhqrMwAP6tYN5qH59ttvTY/Mld4TpRxm0da8WDmOmWkfvf9N6T6In1etNlFtfU5OTuB3o0aNMGXKlBBBUu/917M5EaaazCDX9owbN86Qx2pycnJI2ob+/fujXbt2tgkoWrhcLsnzP3LkyKgnZQQiILy8/PLLyM7Oxv33349WrVph+vTpaNCgAd58803N/WrVqoU6deoEPk6mCI8EWo2EMH9oxqtHaRQjf6jMNEzlypVTDUYnfsnVGhMzmVwHDx6sO7Kx6gb+888/Y9y4cZJ1SvfB6pytvnZM3ZtGGT94bYMVuBAD2NAgc+aROn5Yt5c5Cz7qzTAI6QEEzQqg7HnEC17161uzeendG9i9GxB5tGrghVQ744dYuBLHNNOztVKqm940QazYvFjBjPCi97/deeedyM3NlbgRi9FqE5XaR6/XK8mx5Pf78dhjjyl6+mi9/0qDZfF1W51qkmtExAKNmhZaEB6WiNwXL7roItPnFhOOZ1vlypXDOrddOCq8nD17FuvXr0e3btJAV926dcPKldpujVdccQXq1q2La6+91tZ04JFEy/1PjHj+UC6dm6Fq1aomayitg5pWRfySqxnbmsnkyhgLpBhQe4kEw1tx/hAjHZiSMTFjLOQ8WnO2RUVFqvXSMziUChPKnltSXJBP86gfW1qnadM4maaBDzK3cKH6Pkaw4OigyHkAb5R+eIdQ6ZSWmuA1ebKS5sWYEOV2A+UNxeTbjlDBLChcHToUrIOePYPSc6nU6T722GOB7Vb+FyemmpyaNtKa7hMPSj766CPs3LlT0iHK91FrE5WEFzWNl1mbDSVtxl133aW5XYzSNJXWuTp37qya7kC4TnFalscee8yyE4JZL6EyGaTu0KFD8Pl8IYamtWvXxv79ym6kdevWxaxZs7Bo0SLk5OSgZcuWuPbaa7FixQrF8mfOnMHx48cln1ihdevWgQdMy1VaPn+oNl9pdq7arOZFrWOWv+RCYyKPUmkFLYHE5/Nh586dpo4nxJLQQ37P33333cDvzMxMVZdxpU5J7PUgFSaMeGX9N2SaRw35/9mtG4eCAn3PJDPTRjk5wNNPi9dcYHhfbYKalQYNgE8/ld+roOB1yy3S68zJAT7/3Ng1hNZfDa1pK6BOnWAdyhuThkKQd7q9RFHxYkXz4tS0kVJ6ACDUFkgwpteLUaXUJh4+fDiknJpxqdzF2orNRocOHVS3yY34zU5TAervqdvthtfrxcSJEyVl5cc0+l9mZGTg119/NVQWcC4PXbhEpFbym6o0EhZo2bIlBg8ejNatWyMzMxNvvPEGbrzxRtX04ZMmTUJaWlrgY8SdNlLoZSo1Y+lupAMKp0ErV66cqlZF6SX3eDy45pprLJ3L5XIhM1PfjdjtdkvUt0bugcvlUpyvZoyhSpUqgWXxPfd6vZKs0n6/H59IY+RLkHdKUiv/oDAh1oCoc5ORQopwHAe3W9kzyQo+HyByqCnFuqG8C0AnXIZOmAYXdgY0K9On8/Fc1AQv8XO8fDlf9tQp7f8+Lw84e1Zcf/modCwAccAb9WmrBg2A9u2DJQV7MCuo5c+KFc2LEt98o23nZNVgF1AP1qaWp0iLv//+W3G9khv02LFjJaH49aLphoPaNVp1LVbTisuPaXSQ4vf78eWXXxo+f5nUvKSnp8PtdodoWQ4cOGAqyWD79u1VDajGjx+P4uLiwMdIILNIovXQhmNsFW54cTlCAy10zEYabC1Nj5rAJvfcUJrOEb5nzpxpWhgVYknIcbvdqjZESg2DXkOg1imJhYmOHfX/j1q1jAo5odjdqOTnozRPkT3BpyoAyMNvyMNoVEB6QLMiaIbUBC/xSO/551mpO7m2Bq5LF16TE6y/3HZrGsTTRBynPm01fTrAWDDyqV5kZyORn/lzxkacF63jeL1exYSL4v8kHINdNc2IPOmhVXbs2KHqBi0OCBdOahU91Oyd9FyL1doctfg44bgrm9HGys9bJrJKJyUloU2bNlguDaiA5cuXa6rg5GzYsAF169ZV3JacnIwqVapIPrGE8ICpxTOxE/lDZqaBE+c68ng8lgykf/jhh8BvtVwcubm5Eq2H/EUIN/YCx3EhAqEgCKk1ukoNQ6RGGwsXMkmOnS1b5K7KQeTmSH6/sToabWy+/174ZZPRi4ilS7SC7UkRXxef7cELYK3OXl4cCnisq7lhBwWShQvVp61695YGILv88ss1bRj69+9vqCMUP2OCLVc0vI20hCg1u7dHHnkk8Dscg12ladeZM2dK2m2jz6vSPRA6c/k0k9frlUxN6WnFjVyLmDNnzgR+K8WyYYxZnmZ3u93weDwhOanCcVe2KxVFNHF82mjMmDGYM2cO3n77bWzZsgWjR4/Gnj17Atbl48ePx8CBAwPlp0+fjs8//xzbt2/Hn3/+ifHjx2PRokUYPny401W1HbE73bBhodmGwwmvbLfm5eOPPzY9EhGfb//+/ZgzZ05gWc1FUi6ELlq0SLK8bNkySaNj9prkDavH4wkIQvLgV+Iy8gZVnP/FKkbqnp8PNGoUXH7xRX5Z5O0JgF/+v/+THq9rVy6kHCAVfvbsCQ2Ep8b//if8sj8swTXXGJvSyskBmjeX3zcjwlQGglNFavYswXW9e6tPW3m9Xolxrbyjk9s0GO0Iv/jii2BtHRz5m0H+jKqN8FuKoh1anTYS7o8dAeIAXmg0MsUNKLs+m53KkU9tif+/jRs3Spa7d+8e4v5tNaS+cI3idASTJ08OuW9G/xe32y2xv9KjzAovffv2xfTp0/Hss8/i8ssvx4oVK7BkyZLAyLyoqEgSI+Ts2bMYO3YsLr30UmRlZeGnn37C4sWL0dvIkC3G2LBhA7Kzsw158ehhJAu0mRGR/HhWXi7xQ717927TycO8Xi+eeeYZyTqtOhi1eRFTqVKlQIMmvmZ55yFvUM1oBtVebiMv/eOPC1MdAkcCOX4EwSQnh18+dky67z//cJJyQlmxMPThh4Bxm2e5+3BkEa5z717xfSuCMWFK7OqsbM8id11Xm7bSsy+wYtPg9Xrxv6B0GBB4DgXVRaZwylVaTTNSgw9hbJq8vLzAb/E7J9eMmE23AABXX321xPtI67rsmHZ56qmnAr/Xrl2raZSrFFJB7xnRMtgFpIbjYvsdozRo0CDQvrVp00a1nFyoFgdXjCUiYrD70EMPoaCgAGfOnMH69eslhp7z58+XPOCPPvooduzYgVOnTuHIkSPIz89Hz549I1FN26lXrx4AdfdavRdH/BCtXbsWn332WWA5XM2LUk6NcIzKMjIyTFul223YBqgLcF6vFydPngwsK42WrUalDG9kwiA1Ln0kkONn1KigESrfrv0k23dhoJzPF+z8pcLQcfh8RueoMwB0Lf2OLIKxMH+d4inWbuCDx11l5CgIxpFRsmcJ3oe8PPXpOb2OzkpHqPas79u3T++iFHEySJ2SZsSsnQNjDF6vF/Pnzw+sszJVo4fRhJJqQpmZd118D6666irNtstOGxXhOGKXfXE2aqX6KVGuXDlFOz0xSp5Sjz76qKrDTDSJTR+oBEF4QMx48QgoPURiVzklzNhtKOUFMftyiY9fp04dQwH2xPs4kTNDybMNMK82tqNzMHaMA1DL8VNYCLzxhtgI9X3Zvk8EyuXliTt/sTD0JoBjomWtV94v+44cUmNhccAyQaNixO086OrMp8EK2rNUrw5JGoYuXZSn5wD9js5KR6j2rAsDHCM4IbCoHTPc8PKMMUvaByexa7oKUBYUxG2XlWfEjObl7NmzluuuhdosgTghZqxAwkuEEF4coxgNLy7GTOMmzyotf7nMNpT79+83HWBPybAt3JwZZoxy7UouFl6nopRcMahBCE75KAVVC0bnzctT87Rh4AUkAfF0SuwQjOeoZmx7AqFMgZqrs9cbtGd55hk+IaS0c/CGTM+J0evozHaEap2Z0WSjciJth2DFwyTSCf2M3BM7c/4A0uSI8rbL7DOi5W0E6Gte9Lw9jfyHzZs3V7yP4r6nTHgbEVLMvDBms5AC5oLUiaP/chyHSZMmmR6JiD2orrvuOt1kZ0p1ys7ORpMmTSTLalixeREwOxKKnObFA61gaU2bCuu0g6oFUer8xQjTKUs0ytjDOQDzWrUCJk/WDXsbtONWu840hb3GQs3VOSmJt2O54w5g9mxBIyWeKs2QTM8pTSHpPctmO0K9zsyqvZlZ7HTZ1sLMOxerRqFauN1uzeSIgD3CknD/xOErDh48GFLuzz+Dubr0DMK1NG7ygH7iOsQSJLw4SDgvpNKL/+STT2oe26jNidfrxbZt2wLLjDGMHz/eVOPp9Xol+UjCmc/WC79uBq17YKfa2D5qQStY2kMPAR4PSqPwzgIkSQufB+BBjRp8R82j1PkHCU6naAUYtKcjOQfgs2bNgHHjeGlCg6ws+XXKjW1D86mkpQFqrs4C0ukosfaGn44Spt00Et3birwzW7p0aWCb1Q4nHIwe0+po28o7Fysje4FOnTohNzcXU6ZMCRHEIpEc0VcqWb/99tuBdc8//7zkWfF6vZJQFeG0x+PGjcOUKVNCtEqxBgkvMYz8xb/11ls1yxttiOyYi7ZqbOv0CEtPgDM6EopcHASmGSwtKQmYMUPQHGRDag/SCQBw+DA/LaLe+QcjywrTKf99NIwqm8C4+yZ/nfw+Svcj9H8tLgbS03nNiVpqBOl0lJzg9JzBNGS24vV6MX369MCyXocjfmfjYdpIwKz2QS9VQKSpUKECOnfujLFjxzo6+BHfY7FgsmXLlpDM2HLvULvti8aOHYvdu3fH2EBPCgkvMY6ZF9/otJGRuWi9xjHS89lGiYb6OZxzTpyoHSwNAHr1AoKeqgWivTsAmAuOAx55BJg2TaiPtPMXay2E6ZQLNFMW2TPydQFodvQosHatumuPiN691YPHXXaZUlPlxeHDvNBz5IhyHBnpdJSc4LSbSgxMRwnH2y7S00ZWvI3M8NtvvwV+z5w501IMnEi8+3bbzKghd9bQy4xtpD02K/yqXWusaMZIeHEQu18mvYfP6PnscBu0eoxw6v0PH25VE7uSiEVKCLrmGqabXDE/n9eu8FMf4rwz0qmP9HTlzl8p04N2EnB77mEFAC/l5wNXXgkYiFMEKAeP27ED2LFDac5d324laBogfy6F6Sh+ei4ry1D1bMXsACAep42M4PV6sWRJ0AaLMYYhQ4bY6lIdDtHorJWcNZQGp1a9m+LRxkgOCS8JhJmO2w77j0jYkIhHYHfccYfuiCwaGVDVGgKjjZ5eckXp1If8mNKpD6XOXylTQ8eOWjUaoLXRceT3Y+VK4MQJpf9V227F5wPGjBGW5M/NJPDTcMDLL4eX0NIq4QwinApSFw1WrlwZss7v92PVqlWa+8kj3sbadZlF3F4YcdZQcn7Qao+VPJSscPz4cVuOEy4kvMQpdqQHsEMFavYYZupoJQy7k8G7ooV06kNer9CpD3nnL24UheBs2p114/ArbSO88KbWVKnbrUiNdeWJGsdDSECZnm5TRS1gdQBgl1YiFjQvZhAPXsaPHx8TKRbsQnyP5ULtmDFjQv4Dv98fMsUob4/F92fv3r2W75d4v9dffz0m7jsJLw4S6Q7QzuSCRjJEO40TEXhjjV9/ZbrmIFJPnP+Itkg9k5SmPnJygN27g42eEJxNlGZHgVpaGyMOH19QralSt1vRjx0TPWNdMUYHAAtF6cebNWtmuQMJ11XaSHtgRtjp0KGD4pRIZmZmyHmVjFbF+ziBkdQsdiMXakeOHGnaxlAp0KkVDyS1+x7taT0SXuIIvUbHzpdXrGK0M4mcmXpH0yg4Ut5Go0erR3oVEHviAG1FW9ZKPJPk2hQhXYBUOOKDs/Xrp1WrqobqHglycoCnnwaUmypt4U0/dkz0jHXN4vV6JaESnAi1r4U8Y7xee2BGePF4PJg9e3bgXXe5XJg9e3aIMKc2mHEC8fWtWLEiIpoGpQzcglBrZYpRa/Bnps2K1UEkCS8JhF2aF6/XKwk/HemGUsDufCROEZ7NywHNSK8CgidOlSpiCaW+YmwTQJ4rSDxHHTRyVceZDsEswjXw/Cnb2h+8J5W68KYXO0ZLYxVrmOlA9N5Ts5oXr9eL2bNnB5aNtAeHeQtzw2RnZwdcc3fv3q04faY2mLEbuzQW4dZBjtkpRrsGf7HqWUrCi4M4OW3kpObFjvTxdmH2hXVSQ+QMd+p6zAj07g08+mjwlf3sM04xtgkgt/cQdySlRq7Yq1GnHzS2RQ7pNXwr2/ph4NeECcr3QD92jLLQE4uY6UDMaEqNPOdGY4iIz/nAAw+YfheNRDSWD2b69+8f2H727Flb3v9oaRrEUXPV/kMzNoZ2DP7sPI7tsASjuLiYAWDFxcURPS94NxDJR6kO4u1m2bhxY2Dfc+fOhRxz7ty5kuWqVataupbCwkLmcrkkdXW73aywsNDUcZTuye7du0PKXXTRRZbuidLxhXoKy82bNzd1TIGZM2carlPXrl0Vy+7b949iHUM/bgYUMoCx3Fztc02aNCmw38GDB1XLffghY7ze5QfFc1bCEqEAqxSynTNYb+1PeYB9dMEFjD39NGNnzhi46+auAchlAF9Oi0WLGPN4ApfLAMYaNODXxxNz5sxhbrc78JzPmTOHMcYkz7uR9/XgwYOBcjt37tQ9r5H2wK42wwiFhYUsNzeX/fLLL46cM5LXIj6nmf/Q7LFzc3Mlx3rhhRdMt7lKx7EbM/03aV7iFCOaF6vag5iVtA1g1wgpXM1LTg7Qpo3R0saNR8Wjb6066tt7NIU69ky1nQPwyYUX8qoRCykgtK/BBaM2K0ru42oaq1hGTQvptKbUSHsQSW2FoH0oKSlx5JzRaP+c/A+VtDVWHDIiFaDPKArhqwizqKkqo+1tFA7Z2dno3r07duzYgWbNmtn2wDp9T6IxFyu/JsFQlhm2tzFuPGrUXkGw99i71wPGZgEYCl5IEoKz1TdYt/Awfg9CCb2GwQgKVv8HjuOj7xqxWRHcx+MdwXhTjDClJO7I7X4P9NqDSNRBjpPndKr9U6N589AI0E7ev19++SXwOyMjA7NmzYrJFABakOYlTJSMuyKBUsclD9okH5WYJdYkbSPIR0jhdJ5WkBrKfqhR0prxqFHNixF7D6fhANQ/dgz480/AwrMYeg1Pi7byeb7ixWbFSSIVXVWrPYiGtsLpc0ay/fN4PLhAlLPDyfvn9XqRI/IOiJZDRriQ8BImSupSgUhoXsRanzFjxmDQoEGB5eLi4pgIJiTGCUPj9u3bB3537949rGNZQVx/qZHpWI29CmDFeNSMp4hWrqAPP9A+jx1UBPBqbi5w8cXAqVOWjiG9hqqB9VWrAh9/HH9TP04RCxnTo1GHWLhuu2jcOBgc0slrsTuJY7SgaaMwUVJdRgKO4xSDB73zzjuSckOHDkX37t0jrj0xIzSFK7wcOXIk8FtQgYaL1Tgvf/zhBS8oKAVGE+OBkG/H4+EFFyMdsfhcRqYJe/fmEzvm5/P2NHXr8tqdrz/WP1es0Ls3r7gZNIjDiRP8umPHOIwZwwt7JMDwKE0pKRFukDo76hDv53SC5OTkwG8nrycaU3xOQJqXMJGrLiOZW0dL6yMQDYlaayrNCW3Utm3bAr8FFWgk2bs36HY8cmQG+Dw6SkamQYYNA95/37zxqJWOR54uAAAefljzLMYqEyFycoA77kBAcOH5x1B8HIKIF5JERu1OTuHEs0OGGBJebECsuvzgg6A+3uk4L0qxH+REQ6I2IlSpYcdLK466aTUZmVFrfK/Xi82bNweW+esWhCdxYDQpr78OPPYYcOSIOZsNozYvWjz3HHD4iFaJ0ZaO6wRSG6LVoi03Go6PQ0iJpbxdRJA9e/YEftsZ1VyJRJhuI+HFJgTjrlq1IpcXRkmCvueee6IuUWsJVUoNp3zax+xLq+UiXlBQYKkRyBelKNaqk5KLo+D6HDSUTVUo47WkOQhX5e/ziVMNqLHR9HGdQmpD9JFoi3ZGacIYJMjEBl6vF2vWrAksR8KINh4dMsSQ8BLnyCXo+fPnR12iVhKq1PB6vZJpFysv7V133aU5bWf2eF6vF++++66hOqlFPp01q5nIULa8wlkyLGkOwtW85Ofz2h5oRtjNNX1cp5AmV5R7jsVOcsV4ggSW2CNRjGgjCQkvDuJkIyHuSOUSdCxI1GKhasWKFYH18ntiR3CmzMzMwLkWLFgQdiNgpiFRmz8ePNiDggJg2jRAOeibNc0BY2LPJs70dEmwk9e6H5F1L9dCGqhOTnwlVyQINWI1f1AsQ8KLzZgRWMyqBD/77LPAb6fnRO1AEKLqavQsdr20wrk6dOgQ9vHM1klt/tjtBnbv1jqTOc1BTg7w5JPBet1wA6ebkVpO8K/Quh/2CN3nAHyakQGMHQuUV9I+6SMEquM1WOIgOC7wwfbiJ7kiQaiRKEa0kYSElwgiFzYaNmxoWADxer2YOHFiYDleAwvJsfulteN4Vo6hpO3KyeFdoNUxrjkQovYeOyYWLPaatpsJCgNaEXb7GDuYDucA9NvXAp9eOcVSegCAFwDvuktYukS0ZRqEjNJ33kmB6szgpKs0YZ1EMKKNKI5lWIoS0UrMKPDDD8EkcidPngysLywsZBwXmvDOaPIt8XHFn1y9TH4xwK5duwL1LSoqUixjJemXcMxXX33VluPZeYzz58XJACuqJGOcwziOTxJ4/rzRYw0UHcPFgDmBRINaxxAzbhxjlVCikZhxii2JGfnPdQzgz2kF6bV3Eh2Xs3TtBGPHjh0L3MeCgoJoV4cgApjpvylIXYRQsqMAgrYUepqBRAkspIbdgabsOF44x5B6ycijy7oArALQDozpR9aVHus90RbBLbs7Cgs9yM/Xz9/j8wELFujV3h6bFw5AQ2wDUICpUxriyitd6GNSqSO99hWiLQxmr53gIW0LkQjQtJHNqDUMzZs3V9xmVABJlDnRstJwSr1k5PgB8BHXRo3SD1AXdMbS9rjZq+VAVEpQGNAqvEZjm3EqAijAHhSgMSriFB56yHw8FvI2cpay8j4SiQcJLw4ibhg8Hg9mz54dEt7djABCc6Lxg9RLRv6aBW1devXSP9bBg8IvpXgxAJAiK6eOMW8jJ0LW7sXBg+bjsUjvo7yjJW8jK5DAQiQCNG0UQYQ066tWrQLAu/ia1ZzEYx6PsmggKBjG7t3rAWOzwE9x+CDOIu3xGPOSqVlT+FWiUuKErJw6xryNnHCV3gmghSHtkBjpfewA4OfSLebvI0EQiQMJLzaj1zl7PB7cfvvtEaoNES3cbj6SbZ8+AMdlg7Hu4LUdzcBxvPBpJIs0IGRUBoJaHHHqhaD2ob6WA1EpgjBwxKtVmIP9Aoxx7ZAY8X3kr18QXgpM30eCIBIHmjZykLKiZdBDbKhclu5J797AwoUQRdrtDIDXFCxcaDwZozTWiThfEq99MBPrRBAGtOlmrGKmMK4dkiPcx0qVxEKb+ftIEETiQJoXgnCQ3r15u5b8fN7epG5dXsgwoykQax8YywYQ1OIAHnCcOe1D796A+wMA/dRKOGFA0hSAMe2QEr17Azk5fgh5T3Nzzd9HgiASBxJeHKQsaRmMUhbvidsdvhuvoH0YORLwej3gtTBAgwa84GJW+6BtKHzCYi21qI8qVcK1TQlq8Mgt2jplVRNKJBYkvNgMNQaEU9ihxTHGp7Yc5TyA1wEA3XAe5dCzW3h1Fcc4IgiibEPCC+E4To/0ypLAaIcWJ1KcBTAcADAXQDIeeCC845HwQhCEABnsOkhZ6lSjiVLkYiJWaAzAgxo1whe66H+2H2qjiHiFhBebocaAIIKkIw3pOIhZM1nY01ukeSEIQoCmjYiIQtNGZYdKAA5iI4BawA0lEGK9WIWEF/spKiqKu6CXBAGQ5sVRqFPlcVrdT9MJZQMSXuzhnXfeCfxu37495s6dG8XaEIQ1SHixGRJYtKH7Q1iFhNTw8Xq9GDVqVGDZ7/dj6NCh8PLZOgkibiDhhSCIuMDnC2pe8vLMZ6gmgO3bt4dosHw+H3bs0ErUSRCxBwkvDkJahlDonpRNwhU0cnKA774LdrpdugCNGvHrCeM0b94cLpe02Xe73WjWTCtRJ0HEHiS82Ax1zgQRys8/65dRIyeHT41w+rRYY+DF3r38ehJgjOPxeDBr1iy4S12/3G43Zs6cSUa7RNxBwgvhOBSOnNi/39p+Ph+fEoF/hPaItmSAMd7QdNQomkIyQ3Z2NgoKCpCbm4uCggJkZ2dHu0oEYRpylXYQ6qiJssx5APNRBcCtaFzfWlOTnw/wtqReAJtFW/wAhoKx7igs9CA/P34iD8cCHo+HtC1EXEPCi82QwKINxXkpO5wFcC88aNBgPnZda+0YRUXCr+0QJ2bk8YHPru0RlSMIoixA00ZE3EMutLEMw/Tp1hMy1q0r/GqO0ObKDaCZrBxBEGUBEl4chDQCPGTzUnZpVteH3t1PCEYrpsnKAjwegOM8AGaBF1hQ+j0THOdBgwZ8OYIgyg40bUTEPSQQxSaVAGwv2gakpgIlJUCK+fQAbjcwYwbvVcRx2WCsO/ipomalAg3C0uzYhd/vx9mzZ6NbCYKIA8qXLx/wdguHiAgvb7zxBqZMmYKioiJcdNFFmD59OrI0hko//vgjxowZgz///BP16tXDo48+igceeCASVbUV6lQjA00bJTa9ewMLF/JeR16vBwAvtHg8vODSu3dUq4ezZ89i165dlL6AIAxStWpV1KlTJ6w+0nHh5eOPP8aoUaPwxhtvoGPHjpg5cyZ69OiBzZs3o2HDhiHld+3ahZ49e2Lw4MF4//338fPPP+Ohhx5CzZo1cdtttzld3bAhgUUbuj9lky++AHrdbX3/3r2BXr1476OiIt7GJSsr+hoXxhiKiorgdrvRoEGDkABwBEEEYYzh5MmTOHDgAACgbhjGao4LLy+//DKys7Nx//33AwCmT5+OZcuW4c0338SkSZNCyr/11lto2LAhpk+fDgBo1aoV1q1bh6lTp8aF8EKE4rRmhASi2KdfP+DdCuFpSdzu2HOHPn/+PE6ePIl69eqhUqVK0a4OQcQ8FStWBAAcOHAAtWrVsjyF5Ogw4ezZs1i/fj26desmWd+tWzesXLlScZ9Vq1aFlO/evTvWrVuHc+fOOVZXIjI4IWjQtFF8kIjB5HylF5SUlBTlmhBE/CAI+uH06Y4KL4cOHYLP50Pt2rUl62vXro39KiE39+/fr1j+/PnzOHToUEj5M2fO4Pjx45JPNCEtAEGEwrAXhYX8tE8iQu89QRjHjvclIhO08ooyxjQrr1ReaT0ATJo0CWlpaYFPgwYNbKgx4RQUpK6sshMAKJgcQRC24Kjwkp6eDrfbHaJlOXDgQIh2RaBOnTqK5cuVK4caNWqElB8/fjyKi4sDn8LCQvsugLAFmtYpm/gAfFr68aE5AAomF480atQoYIOYCOTl5YHjOBw7dizaVSHCwFHhJSkpCW3atMHy5csl65cvX44OHToo7pOZmRlS/ttvv0Xbtm1Rvnz5kPLJycmoUqWK5BNNSAugDd2fssMZAHcAuANzcJZrRsHkYpDCwkJkZ2ejXr16SEpKQkZGBkaOHInDhw9Hu2q20LlzZ4waNUqyrkOHDigqKkJaWlp0KkXYguPTRmPGjMGcOXPw9ttvY8uWLRg9ejT27NkTiNsyfvx4DBw4MFD+gQcewO7duzFmzBhs2bIFb7/9NubOnYuxY8c6XVXCIUhgKcvUAcfxWYtjIZgcEeTvv/9G27ZtsW3bNixYsAA7duzAW2+9he+//x6ZmZk4cuRIVOrl8/kcjZmTlJQUdowRIvo4Lrz07dsX06dPx7PPPovLL78cK1aswJIlS5CRkQEAKCoqwp49wVT3jRs3xpIlS5CXl4fLL78cEydOxCuvvEJu0nEMpQcoy7jg8fBB5qIdTC7W8Xq9yM3NhZdPo+04w4YNQ1JSEr799lt06tQJDRs2RI8ePfDdd99h7969ePzxxwNl//33X9x9991ITU1FvXr18Oqrr0qONWHCBDRs2BDJycmoV68eRowYEdh29uxZPProo6hfvz5SUlJw1VVXIS8vL7B9/vz5qFq1Kr7++mtceOGFSE5OxuzZs1GhQoWQqZ0RI0agU6dOAIDDhw/jrrvugsfjQaVKlXDJJZdgwYIFgbKDBg3Cjz/+iBkzZoDjOHAch4KCAsVpo0WLFuGiiy5CcnIyGjVqhJdeekly3kaNGuH555/Hfffdh8qVK6Nhw4aYNWuW1VtP2AFLMIqLixkAVlxcHJXzr1mzhoFPfxuV88ciW7duDdyTU6dO2XZc4ZivvfaabccsM5SUMMZnHGKVSu+j3Z9KpcdnAH++BOTUqVNs8+bNgefa7/ezkpIS05/XX3+duVwuBoC5XC72+uuvmz6G3+83XO/Dhw8zjuPY888/r7h98ODBrFq1aszv97OMjAxWuXJlNmnSJLZ161b2yiuvMLfbzb799lvGGGOffvopq1KlCluyZAnbvXs3W7NmDZs1a1bgWHfffTfr0KEDW7FiBduxYwebMmUKS05OZtu2bWOMMTZv3jxWvnx51qFDB/bzzz+zv/76i5WUlLDatWuzOXPmBI5z/vx5Vrt2bTZz5kzGGGNer5dNmTKFbdiwge3cuTNQr9WrVzPGGDt27BjLzMxkgwcPZkVFRayoqIidP3+e5ebmMgDs6NGjjDHG1q1bx1wuF3v22WfZ1q1b2bx581jFihXZvHnzAufOyMhg1atXZ6+//jrbvn07mzRpEnO5XGzLli2G7zkRRP7eCJjpvxOuh40l4aWwsDAqdYg1xMLL6dOnbTuucMxXX33VtmOWGSIsvHz+QdkQXkpKShy5l0Y+JSYExNWrVzMA7LPPPlPc/vLLLzMA7J9//mEZGRnshhtukGzv27cv69GjB2OMsZdeeom1aNGCnT17NuQ4O3bsYBzHsb1790rWX3vttWz8+PGMMV54AcA2btwoKTNixAjWtWvXwPKyZctYUlISO3LkiOp19ezZkz3yyCOB5U6dOrGRI0dKysiFl7vvvptdf/31kjLjxo1jF154YWA5IyOD9e/fP7Ds9/tZrVq12JtvvqlaF0IdO4QXimVtM19++WXgd0ZGBubOnRvF2hBEbPDoo4kXoC6RYbLwFJmZmZLtmZmZ2LJlCwDg9ttvx6lTp9CkSRMMHjwYn332Gc6fPw8A+PXXX8EYQ4sWLZCamhr4/Pjjj9i5c2fgeElJSbj00ksl5+jXrx/y8vKwb98+AMAHH3yAnj17olq1agB425jnnnsOl156KWrUqIHU1FR8++23EjMEI2zZsgUdO3aUrOvYsSO2b98eCEIIQFI/juNQp06dQJh7IvJQVmkb8Xq9kpQHfr8fQ4cORffu3eHxeKJYs+jCKD1Amce7lw9QF2vh/e2mUqVKKCkpMbXP3r170apVK4mRqtvtxubNm1G/fn1T5zZKs2bNwHEcNm/ejFtuuSVk+19//YVq1aohPT1d9RjCe9egQQNs3boVy5cvx3fffYeHHnoIU6ZMwY8//gi/3w+3243169eHhIFPTU0N/K5YsWLIe3zllVeiadOm+Oijj/Dggw/is88+w7x58wLbX3rpJUybNg3Tp0/HJZdcgpSUFIwaNcp0dm+mEHdMqc2Se7tyHEfJOKMICS82sn379pCH2efzYceOHWVaeBFD6QHKLmUhQB3HcUhJSTG1T4sWLTBr1iwMHToUPp8PbrcbM2fORIsWLRyqJVCjRg1cf/31eOONNzB69OhAvhmAj3L+wQcfYODAgYH3dfXq1ZL9V69ejQsuuCCwXLFiRdx88824+eabMWzYMFxwwQX4/fffccUVV8Dn8+HAgQPIsuAnf/fdd+ODDz6Ax+OBy+XCjTfeGNiWn5+PXr16oX///gD4weL27dvRqlWrQJmkpCSJ9kSJCy+8ED/99JNk3cqVK9GiRQvLeXcI56FpIxtp3rx5SFZZt9uNZs2aRalGBBE7UIA6dbKzs1FQUIDc3FwUFBQgOzvb8XO+9tprOHPmDLp3744VK1agsLAQ33zzDa6//nrUr18fzz33XKDszz//jMmTJ2Pbtm14/fXX8emnn2LkyJEAeG+huXPn4o8//sDff/+N9957DxUrVkRGRgZatGiBfv36YeDAgcjJycGuXbuwdu1avPjii1iyZIluHfv164dff/0Vzz33HPr06YMKFSoEtjVr1gzLly/HypUrsWXLFgwdOjQkwGmjRo2wZs0aFBQU4NChQ4qakkceeQTff/89Jk6ciG3btuGdd97Ba6+9RuE5YhwSXmzE4/Fg1qxZAWldGEGR1iUIpQcom3jqU4A6PTweDzp37hyx9qJ58+ZYt24dmjZtir59+6Jp06YYMmQIunTpglWrVqF69eqBso888gjWr1+PK664AhMnTsRLL72E7t27AwCqVq2K2bNno2PHjrj00kvx/fff46uvvgpERJ83bx4GDhyIRx55BC1btsTNN9+MNWvWGErl0rx5c7Rr1w6bNm1Cv379JNuefPJJtG7dGt27d0fnzp1Rp06dkCmwsWPHwu1248ILL0TNmjUV7WFat26NTz75BB999BEuvvhiPPXUU3j22WcxaNAgk3eUiCQcSzCd+/Hjx5GWlobi4uKoRdv1er3YsWMHmjVrRoIL+PlzQZV79uxZxUjJVhCEltdeew3Dhg2z5ZhlhhMngFKbgxQAJx04RTKARSgHoBvOLViEW+6soLdL3HH69Gns2rULjRs3lmgFCIJQR+29MdN/k82LA3g8HhJaVCAtSdnhDICbuIpYuHAxBagjCMJWaNqIIAjHSElhJLgQBGE7JLwQcc/Ro0ejXYW444svInMeciUlCMIJSHghHEdsVmVX3hZx8L+nnnqKggGawOcDxo1z/jyVABw4eRJISeFtbAiCIGyChBfCcRYtWhT43bRp07AFDa/XiyFDhgSWGWMYOnRoxBLaxTv5+cDefZE5VwoAnHTCHJggiLIMCS+Eo3i9Xjz99NOBZSHqcDiChlYwQEKfshAsjiCIxIaEF8JRnBA0KBhgeFCwOIIg4h0SXghHcULQoGCA4ZGVBdSorl+OIAgiViHhhXAUpwSNaIRTJ5ToGu0KEARRBiHhhXAcpwSNSIdTTxTy84HDR+w6Wi27DkTEEXl5eeA4DseOHYvoeQcNGqSYBdsqjRo1wvTp0zXLcByHzz//3LZzCnTu3BmjRo2y/bjRwMh9tBsSXoiIQIJG7BCewa4LQBvRsnp2ET+APAD/tOoEuKip0cLnA/LygAUL+G+dRMhhM2jQIHAcB47jUL58eTRp0gRjx47FCYMu7R06dEBRURHS0tJMnTNcwWPGjBmYP39+WMcQs3btWonnohNES9BLdCg9AEGUMawb7LoBzASwQLRup2rp0wC6AMh9Iw+1K1o9Z+KTkwOMHAmIHfA8HmDGDDganfiGG27AvHnzcO7cOeTn5+P+++/HiRMn8Oabb+rum5SUhDp16jhXORXMCEtGqFmzpq3HIyIHDYcIooyRlQXUr2d2r5sAFADIBiDOT7VOd88OHcyeq+yQkwP06SMVXABg715+fU6Oc+dOTk5GnTp10KBBA9x9993o169fYHrkzJkzGDFiBGrVqoUKFSrg6quvxtq1awP7yrUJ8+fPR9WqVbFs2TK0atUKqampuOGGG1BUquabMGEC3nnnHXzxxRcBjU9eXh7Onj2L4cOHo27duqhQoQIaNWqESZMmqdZZrr3p3LkzRowYgUcffRTVq1dHnTp1MGHCBMk+EyZMQMOGDZGcnIx69ephxIgRgW3y6Y7t27fjmmuuQYUKFXDhhRdi+fLlIXXYu3cv+vbti2rVqqFGjRro1asXCgoKFOtbUFCALl26AACqVasGjuMk2ar9fr9m3YuLizFkyBDUqlULVapUQdeuXfHbb7+p3p+CggJwHIdPPvkEWVlZqFixItq1a4dt27Zh7dq1aNu2beC/OXjwYGC/tWvX4vrrr0d6ejrS0tLQqVMn/Prrr4bvo5x58+YhLS1N8f7ZBQkvBFHGcLuBKVPM7lUPgLUpv6ZNne2E4xWfj9e4MIWZN2HdqFHOTyEJVKxYEefOnQMAPProo1i0aBHeeecd/Prrr2jWrBm6d++OI0fUjaVOnjyJqVOn4r333sOKFSuwZ88ejB07FgAwduxY3HHHHQGBpqioCB06dMArr7yCL7/8Ep988gm2bt2K999/H40aNTJV73feeQcpKSlYs2YNJk+ejGeffTbQaS5cuBDTpk3DzJkzsX37dnz++ee45JJLFI/j9/vRu3dvuN1urF69Gm+99Rb++9//hlxjly5dkJqaihUrVuCnn34KCANnz54NOWaDBg0CQTq3bt2KoqIizJgxw1DdGWO48cYbsX//fixZsgTr169H69atce2112r+DwDw9NNP44knnsCvv/6KcuXK4a677sKjjz6KGTNmID8/Hzt37sRTTz0VKP/vv//innvuQX5+PlavXo3mzZujZ8+e+Pfff03fx6lTp2Ls2LFYtmwZrr/+es16hgVLMIqLixkAVlxcHO2qEETsUlLCGN9Hskq84YrO526hOAMuNFCeP+4BgB1AOktBCVu0KNoXbT+nTp1imzdvZqdOnTK9b24uE91T9U9uru3VZvfccw/r1atXYHnNmjWsRo0a7I477mAlJSWsfPny7IMPPghsP3v2LKtXrx6bPHlyad1zGQB29OhRxhhj8+bNYwDYjh07Avu8/vrrrHbt2qrnZIyxhx9+mHXt2pX5/X5L9e7UqRO7+uqrJWXatWvH/vvf/zLGGHvppZdYixYt2NmzZxWPl5GRwaZNm8YYY2zZsmXM7XazwsLCwPalS5cyAOyzzz5jjDE2d+5c1rJlS0l9z5w5wypWrMiWLVumeA75vTJa9++//55VqVKFnT59WlKmadOmbObMmYrn2rVrFwPA5syZE1i3YMECBoB9//33gXWTJk1iLVu2VDwGY4ydP3+eVa5cmX311VeMMeP38bHHHmN169ZlmzZtUj02Y+rvjZn+mzQvBEEYYAGAuQC8ADYb3qsmgJo4BCCyWoR4wKjhtFMRkb/++mukpqaiQoUKyMzMxDXXXINXX30VO3fuxLlz59CxY8dA2fLly+PKK6/Eli1bVI9XqVIlNG3aNLBct25dHDhwQLMOgwYNwsaNG9GyZUuMGDEC3377renruPTSSyXL4vPefvvtOHXqFJo0aYLBgwfjs88+w/nz5xWPs2XLFjRs2FDiVJCZmSkps379euzYsQOVK1dGamoqUlNTUb16dZw+fRo7d6rbf1mp+/r161FSUoIaNWoEzpWamopdu3bpnkt83Nq1awOARFNSu3ZtyX9z4MABPPDAA2jRogXS0tKQlpaGkpIS7NmzB4Cx+/jSSy9h5syZ+Omnn1S1MnZCwgtBEAZgAIYCWGlx770oLOTdtAkeo4bTTkVE7tKlCzZu3IitW7fi9OnTyMnJQa1atQKJVDmOk5RnjIWsE1O+fHnJMsdxkqSsSrRu3Rq7du3CxIkTcerUKdxxxx3o06ePqetQOq8Q1btBgwbYunUrXn/9dVSsWBEPPfQQrrnmmsD0mBilusqv1+/3o02bNti4caPks23bNtx9992m6q1Xd7/fj7p164aca+vWrRink1lVfFzhGuTrxJHPBw0ahPXr12P69OlYuXIlNm7ciBo1agSmwozcx6ysLPh8PnzyySem74MVyNuIIAiD+MAb67rAO0KbYSeAFpRXSURWFu9VtHevst0Lx/Hbs7KcOX9KSopipOtmzZohKSkJP/30U6BDPnfuHNatWxdWXJKkpCT4FFRvVapUQd++fdG3b1/06dMHN9xwA44cOYLq1e0JA12xYkXcfPPNuPnmmzFs2DBccMEF+P3339G6dWtJuQsvvBB79uzBvn37UK8eb9G+atUqSZnWrVvj448/DhjQGiEpKQkAFK9di9atW2P//v0oV66caTsgs+Tn5+ONN95Az549AQCFhYU4dOiQpIzefbzyyivx8MMPo3v37nC73boCVriQ5oUgCIO4AWQCmFX62wz8dALlVQridvPu0AAvqIgRlqdP58tFkpSUFDz44IMYN24cvvnmG2zevBmDBw/GyZMnwwow2ahRI2zatAlbt27FoUOHcO7cOUybNg0fffQR/vrrL2zbtg2ffvop6tSpg6pVq9pyLfPnz8fcuXPxxx9/4O+//8Z7772HihUrIiMjI6Tsddddh5YtW2LgwIH47bffkJ+fj8cff1xSpl+/fkhPT0evXr2Qn5+PXbt24ccff8TIkSNVk81mZGSA4zh8/fXXOHjwIEpKSgzV/brrrkNmZiZuueUWLFu2DAUFBVi5ciWeeOIJrFun7+VnhmbNmuG9997Dli1bsGbNGvTr1w8VKwbjGxi9j5mZmVi6dCmeffZZTJs2zdY6yiHhhSAIAwgxXjzg3aULAOQCaGVobw710aCBc1qEeKV3b2DhQqB+fel6j4df72ScFy1eeOEF3HbbbRgwYABat26NHTt2YNmyZahWrZrlYw4ePBgtW7ZE27ZtUbNmTfz8889ITU3Fiy++iLZt26Jdu3YoKCjAkiVLQvKhWaVq1aqYPXs2OnbsiEsvvRTff/89vvrqK9SoUSOkrMvlwmeffYYzZ87gyiuvxP3334/nnntOUqZSpUpYsWIFGjZsiN69e6NVq1a47777cOrUKVVNTP369fHMM8/gscceQ+3atTF8+HBDdec4DkuWLME111yD++67Dy1atMCdd96JgoKCgB2LXbz99ts4evQorrjiCgwYMCDgJi9g5j527NgRixcvxpNPPolXXnnF1nqK4ZjepGSccfz4caSlpaG4uNiwWo8gyhwnTgCpqQCAFAAndXf4BMDtAIDq1YGgp2Y9AEpzQe+gEmriBHg1dCpK8O6ilKh1xk5x+vRp7Nq1C40bN0aFChUsH8fn4+2Biop47VRWVuQ1LgQRKdTeGzP9N9m8EAShgzBdBDzzDNCxI3DddQDveaRmxHIZ/GiBtWiLpPLA+++4cEuCCS524nYDnTtHuxYEET/QtBFBEBq4IEwXeTzA448DQQ/L7Rr7uXHfQxVxInctLj61FrfcRfkBCIKwD9K8EAShwWoA7QDwxqVut9jotjnUPY/cuP120iYQBOEMpHkhCEIDXlJ5+umg8ajg4stxHqh5HtWp4yLjXIIgHIOEF4IgNNgBAGjZMrhG6uIr9jwK8uST5eA+cxJo1Ij/nNQ3CSYIgjAKCS8EQZSi1BzwQczk8VmkLr4eAJ0l26tXd8N3ngG7d/OfxHJqJAgiypDwQhBEKSMhnQJqDo7zqMZn6d0bKCgAcnP5vEVi7rrLjVbGQsAQBEGYhoQXgiBK6QF+CkiAV7doRXl1u/mYL8I0UpB/sG+f7RUkCIIAQMILQRClpKdz4KeAeJKT9aO8+nzAyJFKs0JXgeEdSTmCIAi7IOGFIAgAwAcfcMgV2d1eeaV+ePr8fIBP6SLP6+IH8HBg6eefbaokQciYP3++bbmQiPiBhBeCIAAA5cpxkrgs8mSBSgSzRCsFrAvGf9m/P4yKEbYzaNAg3HLLLdGuhi307dsX27Zti3Y1iAhDQeoIgrCMNGCdFAYX/kQzAOVQp64BSYggZDDG4PP5UK6celdVsWJFSQZkomxAmheCIADwWWzNIg1YJ97fjVOYhUu4rejR4E90vL6SbfUk7KVz5854+OGHMWrUKFSrVg21a9fGrFmzcOLECdx7772oXLkymjZtiqVLlwb2ycvLA8dxWLZsGa644gpUrFgRXbt2xYEDB7B06VK0atUKVapUwV133YWTohg/jDFMnjwZTZo0QcWKFXHZZZdh4cKFisdt27YtkpOTkZ+fj99++w1dunRB5cqVUaVKFbRp0wbr1q0DoDxt9Oabb6Jp06ZISkpCy5Yt8d5770m2cxyHOXPm4NZbb0WlSpXQvHlzfPnllw7cXcIpSHghCAIA36CLDWuPHdM3tBUHrJM2JwWlAey0vZUSDsb4jN3R+IQRS+edd95Beno6fvnlFzz88MN48MEHcfvtt6NDhw749ddf0b17dwwYMEAiiADAhAkT8Nprr2HlypUoLCzEHXfcgenTp+PDDz/E4sWLsXz5crz66quB8k888QTmzZuHN998E3/++SdGjx6N/v3748cff5Qc99FHH8WkSZOwZcsWXHrppejXrx88Hg/Wrl2L9evX47HHHkP58uUVr+Wzzz7DyJEj8cgjj+CPP/7A0KFDce+99yI3VxpI8ZlnnsEdd9yBTZs2oWfPnujXrx+OBNOlE7EOSzCKi4sZAFZcXBztqhBE7FJSwhjf3bFKAAPAnnkml3k8jKF0GbiGeTyMLVqkf7hFixgD3KJ9GWvQwNi+8cypU6fY5s2b2alTp/gVovsa8U9JieF633PPPaxXr16MMcY6derErr766sC28+fPs5SUFDZgwIDAuqKiIgaArVq1ijHGWG5uLgPAvvvuu0CZSZMmMQBs586dgXVDhw5l3bt3L701JaxChQps5cqVkrpkZ2ezu+66S3Lczz//XFKmcuXKbP78+YrXMm/ePJaWlhZY7tChAxs8eLCkzO2338569uwZWAbAnnjiicBySUkJ4ziOLV26VPEchL2EvDelmOm/SfNCEAQA4OmnuVLPIYEz2LsX6NMHyMnR3rd3b8DlCo78c3OBXX+eRO8nLwIuuojSA8Q4l156aeC32+1GjRo1cMkllwTW1a5dGwBwIJhSPGS/2rVro1KlSmjSpIlknbDP5s2bcfr0aVx//fVITU0NfN59913s3LlTcty2bdtKlseMGYP7778f1113HV544YWQ8mK2bNmCjh07StZ17NgRW7ZsUa17SkoKKleuHHJ9ROxCBrsEQZTCAZgrWl4DxuaC47IxahTQq5fJ6R/GgM2bg7/LApUqASUl0Tu3ReRTMBzHSdYJ9lB+v191P/k+wjphH+F78eLFqM/nlQiQnJwsWU5JSZEsT5gwAXfffTcWL16MpUuX4umnn8ZHH32EW2+9VfF65PZbjLGQdVp1JWIfEl4IgijlAIAhsnVDwVh3FBZ6kJ8PiSu1mJwcwO8PCihdugDN6wFlzoGV4wBZx0vwXHjhhUhOTsaePXvQqVMn0/u3aNECLVq0wOjRo3HXXXdh3rx5isJLq1at8NNPP2HgwIGBdStXrkQryleRUJDwQhBEKXshjs3C4wOfWdojiukiJSeHn1rizV0EvNi3r5oDdSTilcqVK2Ps2LEYPXo0/H4/rr76ahw/fhwrV65Eamoq7rnnHsX9Tp06hXHjxqFPnz5o3LgxvF4v1q5di9tuu02x/Lhx43DHHXegdevWuPbaa/HVV18hJycH3333nZOXR0QYEl4IgijFA95jSCzAuKGWWRrQSg+QAYZXJeXKisMRoc7EiRNRq1YtTJo0CX///TeqVq2K1q1b4//+7/9U93G73Th8+DAGDhyIf/75B+np6ejduzeeeeYZxfK33HILZsyYgSlTpmDEiBFo3Lgx5s2bh85qakMiLuEYS6zJ6OPHjyMtLQ3FxcWoUqVKtKtDELHJiRNAaioAIAUAb06bD2ArgKHgNS5uADPBcdnweIBdu0JtXvLy+CkiPj1AA8m2SnDhRKkgtGJJCa7pkXjTKadPn8auXbvQuHFjVKhQIdrVIYi4QO29MdN/k+aFIIhSOHBcNhjrDn6qqFlp8Dn1WC2UHoAgiGhArtIEQQAAnnsO4J1APAA6A/DA49HOLC1NDyBtThhcKIAHBcig9AAEQdiKo8LL0aNHMWDAAKSlpSEtLQ0DBgzAsWPHNPcZNGgQOI6TfNq3b+9kNQmCANC5M4eCAj5Gy4cflsZq2aWdWVqaHmAWgpYtfHqAJlwhrmlQQOkBCIKwFUenje6++254vV588803AIAhQ4ZgwIAB+OqrrzT3u+GGGzBv3rzAclJSkpPVJAiiFLdb3R1arfyMGby3kdkpJ4IgCKs4Jrxs2bIF33zzDVavXo2rrroKADB79mxkZmZi69ataNmypeq+ycnJqFOnjlNVIwhCASuJGQFeM7NwIe915PV6wE878RqZ6dO1NTcEQRBWcGzaaNWqVUhLSwsILgDQvn17pKWlYeXKlZr75uXloVatWmjRogUGDx5MIZsJIgJYFV4AXkAJmXLafAq9J7UD2rUDTp2yr6IEQZR5HNO87N+/H7Vq1QpZX6tWLezXcD3o0aMHbr/9dmRkZGDXrl148skn0bVrV6xfvz4khDQAnDlzBmfOnAksHz9+3J4LIAjCFCFTTif8wLp1/G8Ku04QhI2Y1rxMmDAhxKBW/llX2mApjeSUckyI6du3L2688UZcfPHFuOmmm7B06VJs27YNixcvViw/adKkgEFwWloaGjRooFiOIAhtXC5yPiQIIj4wrXkZPnw47rzzTs0yjRo1wqZNm/DPP/+EbDt48GAgQ6kR6tati4yMDGzfrhRHAhg/fjzGjBkTWD5+/DgJMARhgXCmjQiCICKJaeElPT0d6enpuuUyMzNRXFyMX375BVdeeSUAYM2aNSguLkaHDh0Mn+/w4cMoLCxEXaXY5OCNe5WmkwiCIIj4pqCgAI0bN8aGDRtw+eWXR7s6RAzhmJ64VatWuOGGGzB48GCsXr0aq1evxuDBg/Gf//xH4ml0wQUX4LPPPgMAlJSUYOzYsVi1ahUKCgqQl5eHm266Cenp6aqpzwmCsAfSvJQdlOJpcRyHG264IdpVk9CgQQMUFRXh4osvjnZViBjD0TgvH3zwAUaMGIFu3boBAG6++Wa89tprkjJbt25FcXExAD4B1++//453330Xx44dQ926ddGlSxd8/PHHqFy5spNVJQiCKFPI42kBiLgW+9y5cyhfvrzqdrfbTWEzCEUctdCrXr063n//fRw/fhzHjx/H+++/j6pVq0rKMMYwaNAgAEDFihWxbNkyHDhwAGfPnsXu3bsxf/58smEhiAjgiOYlPZ3/EDGHEE9L/KlWrRoA/lmYOXMm/vOf/6BSpUpo1aoVVq1ahR07dqBz585ISUlBZmYmdu7cKTnmV199hTZt2qBChQpo0qQJnnnmGZw/fz6wneM4vPXWW+jVqxdSUlLwv//9D0ePHkW/fv1Qs2ZNVKxYEc2bNw8IVQUFBeA4Dhs3bgwc48cff8SVV16J5ORk1K1bF4899pjkHJ07d8aIESPw6KOPonr16qhTpw4mTJjg3I0kogK5FxAEAQBYv56Dz2fjAVNSgIMH+U9K4mWU1uTECfXP6dPGy8rj46iVc4CJEydi4MCB2LhxIy644ALcfffdGDp0KMaPHx/wKB0+fHig/LJly9C/f3+MGDECmzdvxsyZMzF//nw899xzkuM+/fTT6NWrF37//Xfcd999ePLJJ7F582YsXboUW7ZswZtvvqlqV7l371707NkT7dq1w2+//YY333wTc+fOxf/+9z9JuXfeeQcpKSlYs2YNJk+ejGeffRbLly+3+Q4RUYUlGMXFxQwAKy4ujnZVCCJ2KSlhDGAMYJUABoAB65nHw9iiRdGuXPxw6tQptnnzZnbq1CnphtJ7q/jp2VNatlIl9bKdOknLpqcrlzPJPffcw9xuN0tJSZF8nn322dLqgz3xxBOB8qtWrWIA2Ny5cwPrFixYwCpUqBBYzsrKYs8//7zkPO+99x6rW7eu6LaAjRo1SlLmpptuYvfee69iPXft2sUAsA0bNjDGGPu///s/1rJlS+b3+wNlXn/9dZaamsp8Ph9jjLFOnTqxq6++WnKcdu3asf/+97+694WIDGrvjZn+21GbF4IgYpMvvgB6haw9gL17+TxFWpmkicSgS5cuePPNNyXrqlevHvh96aWXBn4L4S0uueQSybrTp0/j+PHjqFKlCtavX4+1a9dKNC0+nw+nT5/GyZMnUakSn5yzbdu2knM++OCDuO222/Drr7+iW7duuOWWW1Q9Urds2YLMzEzJFGfHjh1RUlICr9eLhg0bhtQd4ENuUKT2xIKEF4IoY/h8wLhxSsLLjWBsFjguG6NGAb16hZlQ8dQpoEcP/vfSpUDFimEcLM4oKVHfJr+pWp2qPHBgQYHlKslJSUlBs2bNVLeLDWkFYUFpnb80erLf78czzzyD3gpSb4UKFSTnFdOjRw/s3r0bixcvxnfffYdrr70Ww4YNw9SpU0OOwxSCnDLGJPWR11PY5qcozwkFCS8EUcbIzwf27lPa4gcwFIx1R2GhB/n55jJMhx7OD/z4Y/B3WcKMjY9TZSNM69atsXXrVk2BSI2aNWti0KBBGDRoELKysjBu3DhF4eXCCy/EokWLJELMypUrUblyZdSvXz/sayDiBxJeCKKMUVSktdUHYAcAj045It45c+ZMSJ65cuXKGQpCqsRTTz2F//znP2jQoAFuv/12uFwubNq0Cb///nuIQa18vzZt2uCiiy7CmTNn8PXXX6NVq1aKZR966CFMnz4dDz/8MIYPH46tW7fi6aefxpgxYyi9RRmDhBeCKGOoBKsuxQ2gmYFyRLzzzTffhEQub9myJf766y9Lx+vevTu+/vprPPvss5g8eTLKly+PCy64APfff7/mfklJSRg/fjwKCgpQsWJFZGVl4aOPPlIsW79+fSxZsgTjxo3DZZddhurVqyM7OxtPPPGEpToT8QvHhAnDBOH48eNIS0tDcXExqlSpEu3qEETM4fMBrRqewLZ9qQCAFLhwEn7wgstMcFw2PB5g164wbV5OnABS+XOgpCSmpzyscvr0aezatQuNGzeW2HUQBKGO2ntjpv8mzQtBlDHcbmDKFAD9hDVbAOwD0Awc5wEATJ8epuBCEAThIDRJSBBlkF4SV6P6ADoD8MDjITdpgiBiH9K8EEQZZ+kSYO8x3sYlK8tmjUtpbA+CIAg7IeGFIMo411wDwAlzlJQUx0LXEwRRtqFpI4IgCIIg4goSXgiCIMIkwZw2CcJR7Ih2TNNGBEE4w+nTwG238b8XLQIS0JW4fPny4DgOBw8eRM2aNUNC1xMEEYQxhrNnz+LgwYNwuVxISkqyfCwSXgiCcAafD1iyJPg7AXG73fB4PPB6vSiwMe8QQSQylSpVQsOGDcOKikzCC0EQRBikpqaiefPmOHfuXLSrQhAxj9vtRrly5cLWUpLwQhAEESZutxtuiupHEBGDDHYJgiAIgogrSHghCIIgCCKuIOGFIAiCIIi4IuFsXoR4C8ePH49yTQgihhFHvj1+3BlvoEicgyCIhEHot43ETUo44eXff/8FADRo0CDKNSGIOKFevcQ4B0EQCcG///6LtLQ0zTIcS7DQkH6/H/v27UPlypVtDxh1/PhxNGjQAIWFhahSpYqtx44FEv36gMS/Rrq++CfRrzHRrw9I/Gt06voYY/j3339Rr1493RgwCad5cblc8Hg8jp6jSpUqCflACiT69QGJf410ffFPol9jol8fkPjX6MT16WlcBMhglyAIgiCIuIKEF4IgCIIg4goSXkyQnJyMp59+GsnJydGuiiMk+vUBiX+NdH3xT6JfY6JfH5D41xgL15dwBrsEQRAEQSQ2pHkhCIIgCCKuIOGFIAiCIIi4goQXgiAIgiDiChJeCIIgCIKIKxJaeGnUqBE4jgv5DBs2LFBmy5YtuPnmm5GWlobKlSujffv22LNnT2D7/v37MWDAANSpUwcpKSlo3bo1Fi5cKDnP0aNHMWDAAKSlpSEtLQ0DBgzAsWPHJGX27NmDm266CSkpKUhPT8eIESNw9uzZmL++goICZGdno3HjxqhYsSKaNm2Kp59+OqTuSvV46623wrq+SF2j2nkee+wxSZl4/Q/z8vIUz8FxHNauXRso58R/aMf17dy5E7feeitq1qyJKlWq4I477sA///wjOU+03sFIXWM038NI/YfRegcjdY2x/B6q1WvKlCmBY5w5cwYPP/ww0tPTkZKSgptvvhler1dynoi+hyyBOXDgACsqKgp8li9fzgCw3NxcxhhjO3bsYNWrV2fjxo1jv/76K9u5cyf7+uuv2T///BM4xnXXXcfatWvH1qxZw3bu3MkmTpzIXC4X+/XXXwNlbrjhBnbxxRezlStXspUrV7KLL76Y/ec//wlsP3/+PLv44otZly5d2K+//sqWL1/O6tWrx4YPHx7z17d06VI2aNAgtmzZMrZz5072xRdfsFq1arFHHnlEUhcAbN68eZL6nDx5Mqzri9Q1MsZYRkYGe/bZZyXn+vfffwPb4/k/PHPmjOQcRUVF7P7772eNGjVifr8/cBwn/sNwr6+kpIQ1adKE3XrrrWzTpk1s06ZNrFevXqxdu3bM5/MFzhOtdzBS1xjN9zBS/2G03sFIXWMsv4fyer399tuM4zi2c+fOwDEeeOABVr9+fbZ8+XL266+/si5durDLLruMnT9/PlAmku9hQgsvckaOHMmaNm0aeFD69u3L+vfvr7lPSkoKe/fddyXrqlevzubMmcMYY2zz5s0MAFu9enVg+6pVqxgA9tdffzHGGFuyZAlzuVxs7969gTILFixgycnJrLi42JZrY8yZ61Ni8uTJrHHjxpJ1ANhnn31mreImcOoaMzIy2LRp01SPkUj/4dmzZ1mtWrXYs88+K1kfif/Q7PUtW7aMuVwuyT0+cuQIA8CWL1/OGIutd9Cpa1QiWu+hU9cXK+8gY5H5D2PpPZTTq1cv1rVr18DysWPHWPny5dlHH30UWLd3717mcrnYN998wxiL/HuY0NNGYs6ePYv3338f9913HziOg9/vx+LFi9GiRQt0794dtWrVwlVXXYXPP/9cst/VV1+Njz/+GEeOHIHf78dHH32EM2fOoHPnzgCAVatWIS0tDVdddVVgn/bt2yMtLQ0rV64MlLn44otRT5RZt3v37jhz5gzWr18f09enRHFxMapXrx6yfvjw4UhPT0e7du3w1ltvwe/323JtkbrGF198ETVq1MDll1+O5557TqLKTKT/8Msvv8ShQ4cwaNCgkG1O/odWru/MmTPgOE4SDKtChQpwuVz46aefAMTOO+jkNSoRjffQ6euL9jsYiWsUiJX3UM4///yDxYsXIzs7O7Bu/fr1OHfuHLp16xZYV69ePVx88cWSdyyi76EpUSeO+fjjj5nb7Q5IfEVFRQwAq1SpEnv55ZfZhg0b2KRJkxjHcSwvLy+w37Fjx1j37t0ZAFauXDlWpUoV9u233wa2P/fcc6x58+Yh52vevDl7/vnnGWOMDR48mF1//fUhZZKSktiHH34Y09cnZ8eOHaxKlSps9uzZkvUTJ05kK1euZBs2bGBTp05llSpVYhMnTrTl2iJxjS+//DLLy8tjv/32G5s9ezZLT09n2dnZge2J9B/26NGD9ejRI2S90/+hles7cOAAq1KlChs5ciQ7ceIEKykpYcOGDWMA2JAhQxhjsfMOOnmNcqL1Hjp5fbHwDjp9jWJi5T2U8+KLL7Jq1aqxU6dOBdZ98MEHLCkpKaTs9ddfH7X3sMwIL926dZPMve3du5cBYHfddZek3E033cTuvPPOwPLw4cPZlVdeyb777ju2ceNGNmHCBJaWlsY2bdrEGOP/sBYtWoScr1mzZmzSpEmMMf4P69atW0iZ8uXLswULFsT09YnZu3cva9asmaRBUWPq1KmsSpUqYVxRKJG4RoGFCxcyAOzQoUOMscT5DwsLC5nL5WILFy7UrY/d/6HV61u2bBlr0qQJ4ziOud1u1r9/f9a6dWv24IMPMsZi5x1kzLlrFBPN9zAS1ycQjXeQschcYyy9h3JatmwZYoOiJrxcd911bOjQoYyxyL+H5czpaeKT3bt347vvvkNOTk5gXXp6OsqVK4cLL7xQUrZVq1YBNd/OnTvx2muv4Y8//sBFF10EALjsssuQn5+P119/HW+99Rbq1KkTYjUPAAcPHkTt2rUBAHXq1MGaNWsk248ePYpz584FysTq9Qns27cPXbp0QWZmJmbNmqVbp/bt2+P48eP4559/4uYa5fUHgB07dqBGjRoJ8R8CwLx581CjRg3cfPPNunWy8z+0en0A0K1bN+zcuROHDh1CuXLlULVqVdSpUweNGzcGgJh4B52+RoFovoeRuD553YHIvYNA5K4xlt5DMfn5+di6dSs+/vhjyfo6derg7NmzOHr0KKpVqxZYf+DAAXTo0CFQJpLvYZmweZk3bx5q1aqFG2+8MbAuKSkJ7dq1w9atWyVlt23bhoyMDADAyZMnAQAul/Q2ud3uwBxkZmYmiouL8csvvwS2r1mzBsXFxYE/NTMzE3/88QeKiooCZb799lskJyejTZs2MX19ALB371507twZrVu3xrx580LKK7FhwwZUqFABVatWtXpZEpy+RqX6A0DdunUBxP9/CACMMcybNw8DBw5E+fLldetk539o9frEpKeno2rVqvjhhx9w4MCBQMMfC++g09cIRP89dPr6lOoORO4dBCJzjbH2HoqZO3cu2rRpg8suu0yyvk2bNihfvjyWL///9u2YpXUoDON4ihSaYBUyKEhxqrhodRMEl7oIioOb9As4FAeXjn4BBcFBrKiDk4uIICI3m2BwsIsiqEFQBCdRB1EQ+TtcUgjNIr1Njff5QZaecA4PhxdeTnP+VH97eHgwzs/PAzUWaR1+65wmhj4/P+nu7qZUKtWM7ezskEwmKZfLXF9fs7y8TEtLC0dHR8Dfr8Gz2SwjIyOcnJzgeR4LCwskEgn29/er84yNjZHL5XBdF9d16e/vD70eNjo6SqVSwXEcMpnMP7ni1+h8/hF1Pp/n/v4+cJ3Ot7e3R7lc5uzsDM/zWFtbo62tjdnZ2brzRZHx+Pi4+l/2zc0N29vbdHV1MTk5WV0nznvocxwHwzC4uLioWaeRe1hPPoCNjQ1c18XzPLa2trBtm7m5ucA8zazBKDI2uw4bna/ZNRhFRt9PrEOAl5cXLMtiZWUldHxmZoZMJoPjOFQqFfL5fOhV6ajq8Nc3L4eHhxiGweXlZej4+vo62WyWVCrFwMAAu7u7gfGrqyumpqbo6OjAsixyuVzNtdTHx0cKhQLpdJp0Ok2hUODp6Snwzu3tLePj45imiW3bFItF3t/ff3y+zc1NDMMIfXwHBwcMDg7S2tqKZVn09fWxtLTEx8dH3fmiyHh6esrQ0BDt7e2kUil6e3uZn5/n9fU1ME9c99A3PT3N8PBw6BqN3MN685VKJTo7O0kmk/T09LC4uFhzxbOZNRhFxmbXYaPzNbsGo8jo+6l1uLq6immaPD8/h46/vb1RLBaxbRvTNJmYmODu7i7wTpR1mAD43lmNiIiISPP8F9+8iIiIyO+h5kVERERiRc2LiIiIxIqaFxEREYkVNS8iIiISK2peREREJFbUvIiIiEisqHkRERGRWFHzIiIiIrGi5kVERERiRc2LiIiIxIqaFxEREYmVL5e0iy32dAMTAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pl.plot(lc_1a.time,lc_1a.flux,'k.-',zorder=1,label='Observation')\n",
"pl.plot(lc_1a.time[mask],lc_1a.flux[mask],'bo',zorder=0,label='Points inside the mask')\n",
"pl.axvline(immersion_time,color='r',linestyle='-',label='Immersion')\n",
"pl.axvline(emersion_time,color='r',linestyle='--',label='Emersion')\n",
"pl.legend()\n",
"pl.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Now, let's create the model**"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_1a.occ_model(immersion_time, emersion_time, opacity, mask)\n",
"\n",
"lc_1a.plot_lc()\n",
"pl.xlim(76870,76900)\n",
"pl.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Let's start with the fitting procedure**"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\u001b[0;31mSignature:\u001b[0m \u001b[0mlc_1a\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mocc_lcfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mDocstring:\u001b[0m\n",
"Monte Carlo chi square fit for occultations lightcurve.\n",
"\n",
"Parameters\n",
"----------\n",
"tmin : `int`, `float`\n",
" Minimum time to consider in the fit procedure, in seconds.\n",
"\n",
"tmax : `int`, `float`\n",
" Maximum time to consider in the fit procedure, in seconds.\n",
"\n",
"flux_min : `int`, `float`, default=0\n",
" Bottom flux (only object).\n",
"\n",
"flux_max :`int`, `float`, default=1\n",
" Base flux (object plus star).\n",
"\n",
"immersion_time : `int`, `float`\n",
" Initial guess for immersion time, in seconds.\n",
"\n",
"emersion_time : `int`, `float`\n",
" Initial guess for emersion time, in seconds.\n",
"\n",
"opacity : `int`, `float`, default=1\n",
" Initial guess for opacity. Opaque = 1, Transparent = 0.\n",
"\n",
"delta_t : `int`, `float`\n",
" Interval to fit immersion or emersion time.\n",
"\n",
"dopacity : `int`, `float`, default=0\n",
" Interval to fit opacity.\n",
"\n",
"sigma : `int`, `float`, `array`, 'auto'\n",
" Fluxes errors. If None it will use the `self.dflux`. If 'auto' it\n",
" will calculate using the region outside the event.\n",
"\n",
"sigma_model : `int`, `float`, default=0\n",
" Model uncertainty to be considered in the fit, in flux. \n",
" Only for method=='chisqr'.\n",
"\n",
"loop : `int`, default=10000\n",
" Number of tests to be done.\n",
"\n",
"verbose : `bool`, default=False\n",
" If True, it prints information while fitting.\n",
"\n",
"sigma_result : `int`, `float`\n",
" Sigma value to be considered as result.\n",
"\n",
"method : `str`, default=`chisqr`\n",
" Method used to perform the fit. Available methods are:\n",
" `chisqr` : monte carlo computation method used in versions of SORA <= 0.2.1.\n",
" `fastchi` : monte carlo computation method, allows multithreading.\n",
" `least_squares` or `ls`: best fit done used levenberg marquardt convergence algorithm.\n",
" `differential_evolution` or `de`: best fit done using genetic algorithms.\n",
" All methods return a Chisquare object.\n",
"\n",
"threads : `int`\n",
" Number of threads/workers used to perform parallel computations of the chi square\n",
" object. It works with all methods except `chisqr`, by default 1.\n",
"\n",
"Returns\n",
"-------\n",
"chi2 : `sora.extra.ChiSquare`\n",
" ChiSquare object.\n",
"\u001b[0;31mFile:\u001b[0m ~/Documentos/códigos/SORA/sora/lightcurve/core.py\n",
"\u001b[0;31mType:\u001b[0m method\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_1a.occ_lcfit?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"### 5.1. Automatic mode\n",
"\n",
"This step is one of the most time consuming processes within the SORA package. It is expected that it would take between 1-10 minutes to complete 10000 loops. To spend less computational time with this tutorial, we will use only 1000 loops. However it is suggested that the user always set at least 10000 loops."
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"LightCurve fit: |████████████████████████████████████████| - 100% \n"
]
}
],
"source": [
"lc_chi2 = lc_1a.occ_lcfit(loop=1000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**The result of the fitting is a `ChiSquare` Object**\n",
"\n",
"That is an auxiliary class, and its main information can be found at its specific Jupyter-Notebook, for the purpose of this tutorial only two main functions will be cover: `print(ChiSquare)` and `ChiSquare.plot_chi2()`."
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Minimum chi-square: 474.015\n",
"Number of fitted points: 496\n",
"Number of fitted parameters: 2\n",
"Minimum chi-square per degree of freedom: 0.960\n",
"\n",
"immersion:\n",
" 1-sigma: 76880.325 +/- 0.030\n",
" 3-sigma: 76880.350 +/- 0.138\n",
"\n",
"emersion:\n",
" 1-sigma: 76890.349 +/- 0.033\n",
" 3-sigma: 76890.349 +/- 0.103\n",
"\n"
]
}
],
"source": [
"print(lc_chi2)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_chi2.plot_chi2()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**These gaps within the chisquare curve are expected as we did a small number of loops (1000)**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"### 5.2. Fitting only the immersion\n",
"\n",
"The user can set the parameters of choice to the fitting. That will allow using a more complex set of parameters for the model or do specific fits. One typical example is fitting one side of the chord (only the immersion time, for instance)."
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"immersion_time = 76880.338 \n",
"tmin = 76873.000\n",
"tmax = 76887.000\n",
"\n",
"mask = (lc_1b.time > tmin) & (lc_1b.time < tmax)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Let's give a look at the parameters we created (visual aid)**"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pl.plot(lc_1b.time,lc_1b.flux,'k.-',zorder=1,label='Observation')\n",
"pl.plot(lc_1b.time[mask],lc_1b.flux[mask],'bo',zorder=0,label='Points inside the mask')\n",
"pl.axvline(immersion_time,color='r',linestyle='-',label='Immersion')\n",
"pl.legend()\n",
"pl.show()"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"LightCurve fit: |████████████████████████████████████████| - 100% \n"
]
}
],
"source": [
"lc_chi2_1b_imm = lc_1b.occ_lcfit(tmin=tmin, tmax=tmax, immersion_time=immersion_time, \n",
" delta_t=0.5, loop=1000)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Minimum chi-square: 136.868\n",
"Number of fitted points: 140\n",
"Number of fitted parameters: 1\n",
"Minimum chi-square per degree of freedom: 0.985\n",
"\n",
"immersion:\n",
" 1-sigma: 76880.323 +/- 0.030\n",
" 3-sigma: 76880.347 +/- 0.124\n",
"\n"
]
}
],
"source": [
"print(lc_chi2_1b_imm)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_chi2_1b_imm.plot_chi2()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"### 5.3. Fitting the times and the opacity\n",
"\n",
"Let's give a look in another LightCurve.\n"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_2a.plot_lc()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**In this light curve, aside the occultation by the main body there are two secondary events (rings), now let's determine the times and the opacity for the first detection.**"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"LightCurve fit: |████████████████████████████████████████| - 100% \n"
]
}
],
"source": [
"lc_chi2_2a_ring = lc_2a.occ_lcfit(tmin=76872.676, tmax=76874.892, immersion_time=76873.676,\n",
" emersion_time=76873.892, opacity=0.50, delta_t=0.2, \n",
" dopacity=0.5, loop=10000)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Minimum chi-square: 25.444\n",
"Number of fitted points: 27\n",
"Number of fitted parameters: 3\n",
"Minimum chi-square per degree of freedom: 1.060\n",
"\n",
"immersion:\n",
" 1-sigma: 76873.672 +/- 0.002\n",
" 3-sigma: 76873.670 +/- 0.029\n",
"\n",
"emersion:\n",
" 1-sigma: 76873.887 +/- 0.008\n",
" 3-sigma: 76873.895 +/- 0.032\n",
"\n",
"opacity:\n",
" 1-sigma: 0.474 +/- 0.019\n",
" 3-sigma: 0.546 +/- 0.224\n",
"\n"
]
}
],
"source": [
"print(lc_chi2_2a_ring)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_chi2_2a_ring.plot_chi2()"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_2a.plot_lc()\n",
"pl.xlim(76869,76878)\n",
"pl.legend()\n",
"pl.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"## 6. Viewing and saving the results\n",
"\n",
"\n",
"At the end, the immersion and emersion times can be easily accessed using `LightCurve.immersion` and `LightCurve.emersion`. Their uncertainties can be found at `LightCurve.immersion_err` and `LightCurve.emersion_err`. Plot functions were created to facilitate the user to created the desired plots, an automatic plot can be created using `Light_curve.plot_lc()` and `LightCurve.plot_model()`, and the user can control the plot parameter using matplotlib functions. These plots can be saved using `matplotlib.pyplot.savefig()`."
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Imersion time 2017-06-22 21:21:20.325 UTC\n",
"Imersion time err: 0.030 seconds\n",
"\n",
"\n",
"Emersion time 2017-06-22 21:21:30.349 UTC\n",
"Emersion time err: 0.033 seconds\n"
]
}
],
"source": [
"print('Imersion time {} UTC'.format(lc_1a.immersion))\n",
"print('Imersion time err: {:.3f} seconds'.format(lc_1a.immersion_err))\n",
"print('\\n')\n",
"print('Emersion time {} UTC'.format(lc_1a.emersion))\n",
"print('Emersion time err: {:.3f} seconds'.format(lc_1a.emersion_err))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**A complete log can be created by printing the `LightCurve`**"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Light curve name: Example 1a\n",
"Initial time: 2017-06-22 21:20:00.056 UTC\n",
"End time: 2017-06-22 21:23:19.958 UTC\n",
"Duration: 3.332 minutes\n",
"Time offset: 0.000 seconds\n",
"\n",
"Exposure time: 0.1000 seconds\n",
"Cycle time: 0.1002 seconds\n",
"Num. data points: 2000\n",
"\n",
"Bandpass: 0.700 +/- 0.300 microns\n",
"Object Distance: 15.00 AU\n",
"Used shadow velocity: 22.000 km/s\n",
"Fresnel scale: 0.040 seconds or 0.88 km\n",
"Stellar size effect: 0.009 seconds or 0.20 km\n",
"Inst. response: 0.100 seconds or 2.20 km\n",
"Dead time effect: 0.000 seconds or 0.00 km\n",
"Model resolution: 0.004 seconds or 0.09 km\n",
"Modelled baseflux: 1.029\n",
"Modelled bottomflux: 0.109\n",
"Light curve sigma: 0.336\n",
"\n",
"Immersion time: 2017-06-22 21:21:20.325 UTC +/- 0.030 seconds\n",
"Emersion time: 2017-06-22 21:21:30.349 UTC +/- 0.033 seconds\n",
"\n",
"Monte Carlo chi square fit.\n",
"\n",
"Minimum chi-square: 474.015\n",
"Number of fitted points: 496\n",
"Number of fitted parameters: 2\n",
"Minimum chi-square per degree of freedom: 0.960\n",
"\n",
"immersion:\n",
" 1-sigma: 76880.325 +/- 0.030\n",
" 3-sigma: 76880.350 +/- 0.138\n",
"\n",
"emersion:\n",
" 1-sigma: 76890.349 +/- 0.033\n",
" 3-sigma: 76890.349 +/- 0.103\n",
"\n",
"\n"
]
}
],
"source": [
"print(lc_1a)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**And this log can be saved as a file using LightCurve.to_log()**"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"output/LC_test_1a.log\n"
]
}
],
"source": [
"lc_1a.to_log('output/LC_test_1a.log')\n",
"\n",
"!ls output/*.log"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**The post fitted light curve can be plotted using the** `LightCurve.plot_lc()`."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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RkvBEkYaVH6AZGRlITEwMqBAj/lAI5xWOJEQRhpDqzPQIRsGcVildurTiV7eZjlosRJUvX57/zX3tCb/ug6m90TMNI6zjxx9/bGmdAz0wCuveuHHjkNeeaYW7j0ZdbwjvQ+/evTXfF/Hzk1rFKe4XtFK6dGnFsoxiNhYld0wYvihQWPkBKjb6VsorUO00HBanCCEhirAMPYKRGYNaLSh1gLGxsbZpI9RW7bVv3x4TJ07k92st06xh+JkzZwyfLyY+Pt7wucE2LBejxRlqUdR+lClTRnNa4f1ZvHix5CpOo4KdMBpAIJk1a5asdkbYljt27MjvD9R7YuUHaKjZCAKhNb2uBRKiCENIdRhydhUlS5b0E2jMGNSqoUXVLfzKvvnmmy3TRkgJCcF0zsndiz///NPvmFGDYKFR6OXLl81VMAywenAMByNauY8BKYT356233pJcxaknPyFiISoQmiiPx4OBAwdKamfMaNWswsoPUD22cIH6AAql6XUtkBBVRAiETZSUvcmDDz6Ili1bqs63WzWtZUTVLb43ZjpqqcFC6UvczoFUTXjTI0QJj3NCVEZGBlasWMHvDzeDUK1YKUSFio8wNYwKUXKrOMU2dVq5du2abFlmUApGrKSdUWrLViy20YKVH6ButxsjRozQlFcgNG0JCQlhN71OQhRhCLkGJW4AX3/9tSaBxsyXh1AIMqKetnLKQEpYlfpy5LBTba5nGkWtgxTm43K5eAFNiBa7jFCbztNSHytDmSg5krQKNcNtLRgVouS0GsJ+4bvvvtOc9z///KM5rR5atmwpK8AqraCVOqaG3YKz2geomgAn9CEY7BW2RjWWwST8akyENGqDqNn5drUOwYiq20ohSqoTcLvd6NOnj2R6O+f+lTyrA76Dn1pcK6FzPJfLZdqWwo54a3ZhVf0C5XRQ7IPH7jyE9+eVV17hf8ut8KtUqZJifkIh45133jEd9gXw75fUPugeeeQRfluonXG73XjwwQf5Y8L2ZXaxjVGysrJk89MrwAV7Gi3U+wIpSIgiDCH3skuFAhGiJNCoCUhalkm73W7cfPPNPuWNHz/ep17iL0kr7S7kpgaFHa+4vnah5FkdAObNm8f/HjNmjGIHK7xHLpfLlF2Gx+PBzz//rJouVLCqY5fTcFiNFXY6RjVRQvcdzz//vG6thljDyRjTHfZFqh/RG6KoTZs2/G+xdqZ58+b871WrVinWJRCG23ICUjgGSCYhiggIoWaYKnzxlaaulObbZ82apfjFpGTQefLkSZ/l1DExMfyxd955B6NHj0b79u1l62W3Jkppv90oDWJDhgzhf3ODldw7JRai3G63j6NNQJtB6K+//orExET06NHDp+xQxirjYbfbjW7duvHbXHuwGivup9T7KtfvyGkVxe4JtGBWWyenedEr9EdFRfG/ld5pNa2a3auQOaQEpA0bNlgqwAWinYZ6XyAFCVFhRqgYpsq97FJGjxwbN26UHdTVvpiU7Hu2bt2KpKQk9OvXD0lJSfjjjz/4Yy+++KLfeRcvXvTZvnTpkqpAqlVwlbOXCMW5fj0drHg6DwAqVKjgk0aL1uGXX37xe3cOHz6sqb52EEibKCAw4ZfsEKK09jtyApXWOpkJ+6KkeZHzmi0nIBnREErVTbjwApB3VCvGyIeysP1mZGTg4Ycf9ksT6u4DCgoKQkpBoIXQ69kJWcyoZ6026BV2GEp5//777/zvhIQETfkB/gO6mn2P1+vFvHnz/AQDKcHr/PnzPtsXLlzwGRikOkOtgms4CVF6wnyINVGAdRqanJwcS/KxCyuFKPE9y8zMlEwXbG2z8N1Q63fk7o/wWrX2F3Ke06XyEaN36kxJgLVimlVq8QUApKamSqblnrdQYE1MTMSECRM0lce1X7EDTQ6tApwcgVgUcuLECcl+NtjtQYnQ69kJWULRMRqgHjJESzox4gHd7XZj7Nix/LZWoUQqXalSpXQZmnLHtaQLtek8JT766CP+t1oHK9REcSumrBKirFhNZidWCFEejwcLFy70+ajgBkpxOrPaZqttouT6nY0bNwKQ1zjt379fVdCSQijcDBs2TLO2zsqpMys0UVL3zev1+vXXYqGpf//+/HmMMbzwwgs+DnqlELZfOa39iBEjTGk+AznVJuxnQ2X2RY7Q69kJWawOnmpGujfSoPSc88477/gN6N27d+d/r1mzRlM+7777rt++2NhY3Yam4nTcACJG7mst1Jb2A0CHDh3432+99ZZiBzt//nz+d48ePZCRkWGZEFW5cmVL8tGK1vfdqq9fLjZZr169sGTJEn6/1P0TD6JGjIGtns6T0wI//PDDyMjIkPUTNX/+fNODnthzutYPNsCc/yShTZT4OeXn52uqj5b+WqzlY4xJ5vniiy8qvgMZGRl8+5Vzw2AkpmIwNUBcPxvqxvEkRIURbrcbU6ZM4bf1zK+Lp0zkpHsjjUZrp62nc2/WrJnfPmHH0KhRI59jLpcLffv29Ttn5MiRkvkrfbWq1dPhcEjaGwD2aaKMDoxK591yyy38bymP5hwejwcvvvgiv811ZFeuXDFUp2DCvfccx48fV0zXvn17n/skhVqMtaeeekpXG1Gb2lbDCuFWqIlxu92YNm2aZDkDBw70sWk7duyYZJrc3FzTdRKipZ8yY3MmvH7hVHZGRobPh9nixYv53+LnpiXYtVZfblIaLCHCGJ1utxtPPfWUX5qKFSuqliNEPEZs2rRJ1/lmcblcYIyF5OyLEBKiwox+/frxv9etW6faSXAN4bPPPuP3ydk4TJw4UbPa1IjgpPUcLWEHxCt2tm3bhrlz52rKHzD/1SrX8cm5OAjWdJ7SPRce++KLL2QHJLnpnEuXLtleRyuR8uAunHKSS6c0yKm53VBz+aEFvdpmOwzLhf2OkIKCAhw4cIDfPnjwoGQaPYOe8HmIr4Uxpji9I2x/ZtyHCDVR3DVJ2Rq9/vrrivmI+2fxtpqtJ4faOyB+R++66y6/NHq04VJtYMGCBZrPN4vT6cTw4cNRo0YNS2df7ICEqDBGbRpELuyH3NLXF154QbPa1M4pQDlhRtgJiN0SVKlSRXM9xJ1JsWLFNH+19u3bV/E6zBqWW60+P3TokKZ0Sl+6ctMSwoHGDMEM3Ar4e43Xqh3QImwpufzQgpEpKSvu57lz5zTl6XK5fIRHqXq6XC4f321KiDWFO3fu9Dl+5swZxekdq6bNf/zxR/533bp1ZQMpm9X6SWmrZs2a5bMtfAe4/kGM1W3ISNBoK/suxhgmTpyIFi1a+NRDzoFrMCEhKoKRawgOh0NyUNc6jZCRkeEzv758+XLZOhjRRMkJM8JrEWui1q9fr2p8KVcPzu+RlnomJycrCkRyAXm1CFF2GFBq1YQ4nU7Zrzu324233nrLJ+2MGTNscRRpJ3ICjfi6tQo+WgYat9uNxMREbRVEYdvs1asXv21kSsrogCp83yZOnKjqKZwb3IUfc+IpI+5dqVq1qmr5Uh9933//PRYuXMhvnzp1yvbpHY/H42M2wQlqQsGKQyi0Gb3vwufbpk0bv+fNvQPC/kGM1UKUWngbsaBkdd/FXY/UdUmtbgwmRUKIWrduHbp164YqVarA4XD4GHdKsWbNGjgcDr+/v/76KzAVtgg5VXFKSoqiJ2sOKbWpVEf30UcfyX59WBl3TGjMLdZEPfTQQxg1apTkeVZSrlw5xXt39OhRyf1qQpRd3oWTk5M1pevdu7fi191DDz3E/16wYAHS0tIsMywPlCZK6vqSk5N9vvA5n0ItW7bk08gJi1qFLbE/LSWGDRuGFi1aKNZZiNS9M3I/PR4P+vfv75PHgAEDFFfXcYO70ofSZ5995pdGDjmhVChUlitXTjaunVVkZWVJflC+/fbblpUhR8mSJf32ce+n1mDicsgJRVLnut1un5h6YoRCq9m+S4/2kDEWUvZQQBERoi5cuIBGjRrh448/1nXe3r17kZeXx/+ZVc1bjVrDkQv74Xa7Vb9u5YzWtS7bNVJfObivHGEnr9WLsVS9xI1W7xSAEWNVtTLscl+hdZqzdevWiseFz+6mm24CYJ2Lg2BSqVIlya9ooTG5eEqJw+12W76yMC4uTld6q4SoDRs2+J3n9Xol3RhwSAl44neC00xp8ROlNbhv586d+d9mVuDJIVUPh8Oheq/t8hQPqGs9xWVbMa0pXrwjRCi0WhlHUw0ljXmwKBJCVJcuXfDWW2/5LJHXQnx8PBISEvi/UJi+0NtQtQz4Ug1u4cKFSE1N9ZvjltJuCV9srSEhtCL3BSa1WkgKIw3uzJkzssccDoch7ZCaJqpUqVK2GFBqFXTUOl0px4nhpomS4sqVK5Jf0deuXePTKAlKpUqVsrxOZu+HHfdT6wIFLWUrRTtQCs8EFE7nNWjQgN/euHEjkpOTVW2i9LRZt9uNYcOGaaqz1QtGrl69KmnzpCeYOCB9H/QKVmpOUZXqZpfxd5cuXULKHgooIkKUUZo0aYLKlSujQ4cOsp6FOa5cuYKzZ8/6/IULgwcP9tu3d+9eyTlut9uNl19+2Sft0KFD4Xa7/YxCxRjp3OW+wN577z1N5+ttcBkZGXjjjTdkj2/cuFGXc0gtq/MyMjLQsmVLv+tU+8LWYshplfsJqeORIERdvnxZ8itaGBpIKSyNUNgSwz2fq1evaq6P3oFO6t5Jladmo9KqVSvJuqSkpMiWI1UHM9NNAFC/fn3F4+XKlfMpo2XLlqp2ODNnztRllwYAt912m98+qWfz2muv8b+t0AquWrVKUpB0u93o06eP7HncPeHeuZMnT+oq1wxyXua19r1K77y431y2bBm2bt1qrKI2QUKUBJUrV0Z6ejoWLVqExYsXo06dOujQoQPWrVsne8748eMRFxfH/1WrVs2Wutkx4HTs2NFv36uvvio7xy2M1A4UTols3bpVUmOktFxZC3JfYFbeB64Ry4VLEPLll18aEh7khCg5Tdutt96qqEXUashph6BjtSYqmAiDVXO4XC6fQUhqQOWIjo6WPcY9H2EsRy3oebel0opX1gHg26+c4O12u/2mEmfOnMkPhEpC9JEjR2Trw7UtrWFf1ChdurTPeyfuo8Tlezweyf1qSH2YSOXx4IMPyp6fmZlpmX8sj8fj46ZGqm7CPkEYXJzDToe/wr7q/vvvtywmpLiPYYyhZcuWIeW1nIQoCerUqYP+/fvjtttuQ0pKCqZOnYquXbsqrv4aM2YM8vPz+T+rnctJYZUgoUXLIJzjFqcfM2aM31JUDqEPGSP1dbvdsg4zrUbLaqtALSVWqoecIacUVgk64Tydp6SxEwtRTqcTTz31FNauXcvvU7rOYsWKyR4zcn+s0ERJUVBQgA8//FBR8C5RogT/+5VXXvEZCKXKuX79OjIyMnzs6ZYtW6ar/mLMBIQW20lmZmZK2nppQWo1oVZzDqEwU6NGDd1lS6HWN504ccLP87mYlStXWlIXNWJjY/nfci4ZtCL18RlqXstJiNJIy5YtFZeLR0dHo0yZMj5/dhCoqQ+lOW49auvq1avzv/Py8gz5Ebn33nv99klpELSiZNhql1NMufsjV6bS9ckZckqh9V6fPn1a8dmE63Se2IGslrrMmDFDc52s/ro/e/Ysdu3aZWmeQGF7/uCDDxRXUAmfZ7ly5VSniw8ePOinRf3www8l01r5wafks0pI+/btZSMLqCFeUckZsCuxdu1aP428VW1Ezeg+Ly9PtayPP/5YV99r9t1WcsmglVdffVVyfyh5LSchSiM7d+4MeIwvKezQPknl+cILL/C/xStg9NRBuDqsY8eOmvyIaFHVyvlj0oKSYasW1w9WIlemkhCldZVoRkaG4gobIS+//LLis7FzOs+ocK3GhAkTMGrUKF0DWjDtswDg/fff94lTqNYWtNZ3xIgRqiuohHmtW7cOiYmJfFBcsR0kAPz111+qziel/P2IQ8PoRclnlZa0RsrgDNiV0t13332yGnmzuN1uHzcjYipVqqT6AahlFbVVDjM5lxlm70WPHj1kj0m5gwgGRUKIOn/+PHbt2sV/4R04cAC7du3ivTmPGTMGjz/+OJ9+8uTJWLJkCbKysvDHH39gzJgxWLRokeQ8c7iiZqsk1P6sX79eVbUvh5TRqdL0E4CAqGrFX+Bcx2HVXL4YpXsmVWZ+fr7sPXC73WjSpIlieWp+ZeSQU5XbOZ3Xpk0byyO0i+P9mUFpGsfuwNJqbUFrWxw2bJjqCiphXv/3f//nIwBJuYeJiYnxy1OLL6KuXbtqqrNcPlLvnZk4eXLlCGnRooWkRkUsENophDdv3lz2WLly5VTNHrS4BxBqbc1oRKV8bRlBSTC8cOGC6fytwJQQZbTDO3XqFHr27GmmaF1s27YNTZo04QeeESNGoEmTJvzKiry8PJ/wGFevXsXIkSPRsGFD3Hnnnfj555+xdOlS3S4S7MCKFzMjI8Nnmm316tWK6cWBZuXqUKlSJb99cgOtkp8nu1W1+/fv95nauXz5suWDOMc///wDAPj22291nffnn38q1kcYcFQKI2EbOKTuv9HpPC02EXZEaLeqEwfg4+Q10Ki1Ba3XqGUFld77lZqaik6dOuk6B/B/b4TPW00olbM35a5DatCVy1NPbFC5e6M1rJLdeL1e3HPPPYppnn32WdUVc8K2aMa+zSqfinJCVEjFz2MmcDgcrHv37uzkyZOaz1m1ahWrWrUqczqdZooOefLz8xkAlp+fb2m+Z86cYQAYAPb3339rOodLz/05nU7FbQDsxRdf9Dk+a9Ysxhhjubm57OOPP/ZLX6JECXbLLbf47c/Ly/PbB4C5XC7J/dyx3Nxcvv7r1q2TTav2J3X9Sn9K9TL69+yzzzKHwyFbP6U6cveidevWPuc88MADimXm5uYarq/4/jPG2Pbt2/njK1euZIwxVqZMGclr4UhPT5d8t9T+MjMztTcIGXJzczWV3apVK9U0UveSo1GjRpa/L2rPQsilS5c05cPBbffp08cvr/Lly1te/xUrVjDG/u0P1Z738OHDFfNTa0fFihXzu3933HGHpnubm5vLfvrpJ5abm8uWLFmi6frmz58vma9cfeXQ8uzee+892TRz5sxhP/74o2I+y5Ytkyx79erVup+r0jX07t2bMcZYqVKlFM9Xe6YA2N69eyX3c+ORXegZv01P5y1ZsgQNGjTAqlWrFNNdvXoVw4cPx913340jR47YrgaPVJgFX9dagmhOmDDB5/jAgQN5I12paU2n0yk57SGnrVAy0hw/fjyysrKCsvpCqyd0PUyZMsXwc5PTRAhXwFiJnKd6vdN53NJyvdowq74wpWzNXnrpJUN5Kb0Tdvdjcv52jCyhF2pe5s+f76eJsaJvESPl4kCMnuett445OTmoU6eO5DFh2xK7DFEbzzjEvpvEtlni+i5cuFB3v7Zw4UIsXLgQ+fn5smmYzDSnkBUrVugqV8+7LXVNVvRRUnUoV66cbWYXhjAjrT333HPM6XQyh8PBXC4XGz58OLty5Ypfut27d7MGDRrwad1uN1u9erWZokMeuzRRp0+f5qXxdevWsZ9++olt2bKF/4KSAiIpXvyFrvQloDVdyZIlWePGjf32Hzp0SDK9kqaEK4fTgIW7Jkqtfmp1nDBhgp8m6pFHHlE8JzMz01B9nE6n33uUm5vLpk6dyqfhtAuxsbGS18IYYz/99JPush0Oh+VfmMnJyT7XJi7z1ltvVa3Xvn37ZJ9bkyZNAvJ+CJk1axZ/LVo1fVKaOfGzLlu2rOX1f+ihh1hubq6PBl3uGnNzc9lDDz1k6j6JNVGMMZaWliZ5DqeJkrs3RuqxZcsWxphyexZq9jnM3ueMjAy2YsUK1XKlxohVq1ZJ3ptu3bppei+F7yMA1qJFC8YYYwkJCYrnc7+VxpXs7Gy/fRUrVlRv+CbRM36bEqIYK3wAbrebORwO5nQ6WcOGDdnvv//OH584cSKLiYnhBaj//Oc/7NSpU2aLDXnsEqJOnTol29ClGidj/g30lVde8dmWeon1diolSpRgTZs29dufk5Mj26C1dA4ul4t9/fXXhjsXqeuvW7euYudmtkPTWz+pOorvQbNmzXzOUROizEznCadXxB0kALZ8+XLGGGMxMTGS18IYM1S+1BSTGczcA2GbkJpS4Ai0EJWbm6v5o0f4JyfUjhw5ks87Li7OlmtwOp3so48+UrxGqffMyH0qXry43345IYrrK40I/HJ/XNtRSyecSrSiz5k1axb74YcfNNdPiJQQlZuby1577TXV+y0lgDocDpabm8uqVq2qeL4wvVy6/fv3++0LNSHK9HRex44dsXv3bjz00ENgjOG3335D8+bNMX78eHTo0AEvvPACrly5gtKlS2Pu3LlYsGABypUrZ7bYIgtTCLGg1TBX7GWXSajIhSs9nE4n3nnnHcU8L126hFOnTvntlwuZoXWap6CgQDHshhpSxqNyrirefvvt0FIT36CgoMDPpYPUMxNiNL6UcDpNboXf8ePHASg/Q7fbrXuqy+opSiW/bmoIXXwEczpPjFHnkXJ+hiZNmsT3F0by1YLX68Xw4cNljxtdSWoWrq1v27bN75hRf3Fapya5qUTu2s3i9XpV75+e4L1a+w+pBSyMMWRnZ6uGuhKml0PoDT9UscTFQbly5bBw4ULMnj0bpUuXxuXLl/HKK69gzZo1YIyhdevW2LVrl48bAcIetKxs09LxC10cfPXVVxg1ahQaN26seI7QOznH/v37VctSwuVySXoP1opUByXXaNVWvBmhbNmypvNwuVyK4UWsRGiDI7fCLy8vD4C6IGyX41KtmFkhJHxuwRSirFot6na78fzzz/vtV4pEYAS5+6F0D82sJNWCMA6iGI/Hg9GjR/vtf/TRRw2VpVX44D5WrLr2kydPqj6/YcOGwe128/Z0W7duRWZmJr+C2AhSbczhcKBmzZqKrkG0Co5t2rQxXLdAYWkv16NHD5+LZowhLi4OM2bM8FlSTxhHraFo+drQG1rhpptuAgBdgXc5hKEk9MIZacbHxxvOQ6qDsuuLWwpxPDK9cPcgUEKUUBMnJ4Rwmjw1I3y9g4PVz8XtdvvEvdMatgPwbSPBFKLEmuVWrVoZLnPYsGF++9QiEehl0KBBkvuV7r2VkQLE15CRkYGvvvpKNr2cEHPzzTdbUh8phM6Lrbr2l156CcuXL1dMc/fdd/sY0N9+++1o3749HnvsMcPlitsYUOjPyu12K16X1r4hHOJzWiZEbdiwAY0bN+Z9S5QuXRpAYRiD22+/XdVlPmENWjpCvZ2wUjwmNf7zn/9I7tcyoFntQI8jkEJU8eLFTZ1v1z0wA7sR7FTpPno8Ht332Y4OU/jxlpOTo/k8rUKU3Yg1y263W9J7uBbEWhIzkQjkkHJI6XK58P777yvWy4pIARkZGbh27ZrPPrWA4lLTnC6XS9LnnRa0ePsWtmk9196sWTPZY4wxTJ06VfH8f/75R3LaVK7dKY0Twnsqjg/ICeVKfXywtdRWYvpKvF4vxo4di3bt2uHAgQNgjGHQoEE4cuQIPv74Y8TExODixYsYPHgw7rvvPlOqQ0K9o2OM4X//+59iQ9b7ApvpXOUaqJYBzahdj1G4+HFWohSgVgtyy5IDIQjK2RTt2bNHUh0vfOc2bNiguzw7rkk4EOh5n7QKUeJB22qkXD60aNGC/21U05mcnOwnoFtx/6Xy2Lhxo6oW2+yHgpxtkZpg7na70a9fP599M2bMMDy1ryVGo/g91Hrtan2J2rUePnxY14fKjh07NKWTE7aUxhkzQjP3jlkVosYspoSoffv2oVWrVnjrrbdw/fp1VKxYEf/3f/+HqVOnIjY2FoMHD8b27dvRpEkTMMawdOlSNGjQAEuXLrWq/oQEI0aMQGJioo+vJyF6p/O0dK56hQU9AxpnyGwVctczevRoU8Ey9ZSllWBGK5czRmYyPmnMGHJz+YYKWoUosTd/qxH7icrIyMD999/Pb1+9etVQviVLlvRrg3bd/5YtW/otZhFj9h03Y1vUtm1bn+20tDRbPhzNolYntX5dz2IPj8eD77//3nBdAGUhSig4GpmeFvv1sjrShB5MCVGNGzfG1q1bwRjD3Xffjd9++w3dunXzSVO3bl1s3rwZL7zwAhwOB44fP4777rsPTz/9tKmKF1W0Nm7GGF544QVMnDjRdDlaytRjbwIACxYs0JzWaiFCrpML1iCudH3BjFbudrtx9913++2vW7euZAcp1Ji0atVKd3l2a6L05L9v3z7+t5IQpRQo2gqEg43UKrZLly5pykdLG7JLE6UmVHADohmM2BYpaTFOnjxpqj52oPQeOp1OPPLII4rnx8fHK8bfE2ImbBJ3ntbnoVeIKigo8GkHVoaLMoIpIerChQuIjo7Ghx9+iGXLlsnOI0dFReGdd97BTz/9hMTERDDGLJkDJ9SRCsKq96XV+tVxyy23aM7z4Ycf1pw20NN6gSQjIwOJiYmyxwMdI0o8sDRq1MgvTcWKFSXbr3AVpZFnZrcQpSfO2fTp0/nfSoOXWZs3PZjRtogFcTkNo1lOnDih+xwr3BsYsavitBhr16712T9r1qyQDDYvdnMi5PXXX/dZUS3FDz/8gK1bt2oqS04LzSF8V+TS6f2w1oqUO4dgfmyaEqIaNGiAbdu24dlnn9WUvk2bNti9ezd69+5tptgijVJHJ/UyS3VOixcvNlSmWidrxhWBEmZW50mh1BkFGjXD1+nTp0sKJHZpzbSoxxljknYcZutktxCVnJxsKI+jR49qyt8uONuPUqVKWeq/yA6bEiPCh1XTX0bsqrxeL+bNm+ezT61NBovffvtN9tiaNWtUzR4mTZqkK2C1eFZJiDAfsQsJrk1ofVf13muXyyW5GCBYAYlNCVFbt27VpX0AgDJlyuDzzz/H559/bqboIovSCye3vFjMuHHjVNNs375dU5l60oQKwmsLNmoDSI0aNSQHuQsXLthVJVX1uNyzZoyZGpjtfoeMDtZK8ekC4SeKs/1o2bKlX6w2rbaIYkH81KlTfjYldk3nqWGXewOtSDmLDDd+/PFHPPfcc4pp9F6X0mpAjoyMDFkb5+vXryueZ7ReLpfLx8ZOvMo00Jh6e82osvVM5xDa0Krh0zKYCD2Wcy+5nukQQhtqA0jHjh2RlJSEY8eO8fsyMjIUjT4BmF5lqKQe3717t6SQNHv2bJ+BWS92a6KMsmfPHlvzV0Js+zF//nxLyvd4PH42JcFy5WCFaYfH4zFc/0hZbh9I4Y9z1im1IpLTTCmtXDXjpb2goMDHtivYbmAi4+0pQuidzpNCb6fx119/wePx4Ndff9V1HqHesY0YMUI1D6/X62PorKUDMrvKUEk9/uqrr6JatWp++59++mmfgTlSmD17tt++QBmxStl+2EFBQUHQNDBWDIDZ2dmG7o3L5ULfvn199jVo0MB0fbTCaW5DEaXxpHPnzmjRooVkOz979iwAZUfLZvqHK1eu8GUAwbeZJSGqCCLUMmnh+eefx4cffmhTbYo2H3zwge5z7BZQjKrHzdYrVKdRpOqVlZUFj8fj05nbgfiDxy6ticvlCmvBt2bNmorTR3Lk5OSgXbt2PvuUFnpYATfdLZyqDUfk2qvQ0bYdXLx4UTWWayAx1SJdLpfhv6ioKKuuoUhhhSZKr9sDxpihwd4KPB4Pfvrpp6CUHQiMDFx2TyEFSz1uxyCu1QWAXrZt24akpCT88ccftuTPIZ7qErd/KwRPTmgOZ9xutyFzA7fb7XcPhVpfO2jfvj0SExPRv3//sBZc5YiNjYXH41GMm9qkSRNTZYTSB5cpIYoxZuqPsBat99RIw/V6vYqrm+x4nqNGjUJiYqImQ/hQxapOkotfCMDPw7LVBFs9biXnzp2zJd/Ro0cHZABMTU312Ra3Myum94JtU2LV1Ojff/9tST5//fWXJfkoYccY2KFDB0vzM4NaxIJwCCysFVPqoLFjx6qmuXDhAvbu3YvVq1fj8uXLaNGihV/HQGgnWMKny+VC9erVFb8u9MQm04JRR6GhhFXPSxguKZChk+yerhJix7tdpkwZy/MEAmfzpTaNbsU9C7bQbNbRJoeRIPcZGRmmQzOFCk2bNsWPP/5oWX5GNd779+8vUgvHbBeiOE6cOIEnn3wSy5YtQ+/evTX7liK0Y9c0j9PpxIwZM/DNN9/IpmGMmQ77EYmoDbZOp1P3gKy2Ms8qMjIyMG3atICUBdgjmMTGxlqeZyBRm0bXKkQtXLhQ8Xgww2ZY9dyN+JMbOHAgXnnlFUvK14vD4bD0w8GITZgdbN68WTXNRx99FICaBIaAGZZXrFgRixcvRsOGDfH8889rutGEP0qNzuoYcxzTp09XVfdH4ty+Fajdl9WrVweoJvrweDzo379/QDWfoerioHbt2hbUxBhWtatevXqhV69eksfkgveGG0amNgsKCiybBtSDw+HAY489ZmmeRuMoymGn7aWVbT2sAxDrJSoqCkOHDsX169eDZqgc7ii9fD169NCUR926dXWVWaFCBdWyA+G5ORxR6ywqV64coJrow0zsLKOEqp1kMAbZQGImnEyokJGRYUgT43K5cP78eRtqpEzXrl3RunVrS/O0WogKF4IV7oUj4C4OOB8cv/zyS6CLjni0DkJ6w19wHazSSieHw6Hbe31RQK1jD0XBgQsxEmhCVRMV6RgJ3htqGA1Am5qaGrDpcSFXr161/H1Xcm5pBKNtp06dOpbWQ41ghXvhCHjL4eKWGQlUSdgXaV0tfUZGRsg6hQtlwvHrkAsxEmjsEKLEcb0If4wE7w01CgoKMGfOHN3nLVu2LCgfMiVLlrS83DNnzlian1HKly8f0PKCvTAi4EIUF/xWuGSb0E5eXp7pPPSq7k+cOKFqM8EYw59//mmmWhFJuH7hh/v0DoddLg4ijWC6OLACh8OBuXPnBrsamomOjsbJkyctzVNp4Y9eMjMzDa/MLWofLgHzeHnhwgVMmTIFH374IRwOR0j5tAgnrPAcrvcLaNmyZaqDaqQMulajJkSF4nResLDjXpBT36JBuPkezM7OxoIFC4JdDVnat29veDpPKdxLJGKqh9Hirt7r9eL06dP4+++/+XngUqVK4eWXXzZTdJHE4/Hgiy++MJ2PXi/OS5cuNbQUnyAhSQ92vF+hsuw7lPF4PEF1T+JyuYIW/DhYbNu2LdhVUMVo30VClA7WrFmj29dFUlIS5s+fj1q1apkpukhiVUd34cIFXekZY3j++ecVnV/SYCWNmmBAQpa9WOFs0+12B30ZtZ0kJSUF9QNp//79ph1ucloTPe2pWLFilhtjE8Dp06eDXYWAYkqIatOmjarKz+l0onTp0qhRowbatm2Lrl27RoyH2EBTq1Ytyx20acHhcGDYsGER4UE80Kg9KxKi/sWOe1GyZEnTeUS6liTYGuaqVauazsPIu1OyZMmQMcaOJHbt2hXQ8jweT1CNy01roojA4Xa70bZtW9P3PdIHhVCChCjt6NWQasEKFwfhuMIynAiWt/To6OiglBsuBOOD3QhJSUlIT08P2uKI8Fw6VISxwheT3jlrxljQHZqFK2pf+YsWLQpQTUIfpbiMwYSEKHsZPHhwUMolH2LKjB49OthV0ITX6zXsJ8wKSIgqguj94nc6nUF3aBauqAlRb775ZoBqEvrs37/f8o7Qii/porZkO9AESzN+9OjRoJQbLpQtWzbYVdBMQUFB0D70SYgqgvz222+60vft2zfoDs3CFXINoQ8rXHhYDU1/E0Ro43K5gvahr8kmat26dbYU3qZNG1vyJaylTZs2Eb06yU7CwaYglJg0aRKGDRtmmdBO958gjBEu050OhwMzZswI2oe+JiGqXbt2lt9Qh8NBy+INEIwXe+3atWHv0ThY0CCuD04tT5pPgiC00KFDh6COT5qn8ziPsFb+EeHBvHnzaNrJIHTf9GG1Wp76GYIwRrhoon788cegzpRo0kRR4NnQIRgvNg1ExiEhSh9Wq+Xp3SWIyIYxho0bN6Jnz55BKV+TENW2bVu760EQEQkJUdq56667aNqYIEIE8gOpDVqdR6jSo0ePYFchbCEhSjt2xNwiTRRBGGPp0qXBroJmUlJSglY2CVFhRjCm8zp16hTwMiMFGsQJgiDs44EHHgiPsC9vvPEGgELvshUrVrStQkToQYIAEQjs+ECgd5cgIpvmzZsHtXzNmqhx48bh9ddfx/HjxyWPHzlyBE8++STZNNgMGZaHFzSdJ09NAJMAHAZwCcDcH38ERo0CDhwIbsUIgiA0Ytl03unTpzF37lzMnTvXqiyJEIGEKOOQECVNDwC/A3gUwJcARgFYUbIkkJEB3HorsGyZJeXQu0sQhJ2QTVSYEQxN1KlTpwJeJhG5NAHwBYDFAKoBGAngYwB9Tp3C4U2bgE6dgB49gD17gllNgiDCgGD7syIhilBl+fLlwa4CEUE8D+AggMcBXBHsZ4wh68gRYMECoHx5wII4eqSJIgjCTjQblhOhQdn8fLwKoDmA4gAcN/4AgAn+MwAu0X4I0or3M1E+3LlOANd/+cXnPO+NtEyQRliuF4Uvlrg+3Dku/AsTpHOI/nsF29w51wV5OQEU4N974LhxDhNsS107d55wP5NI77yxrwC+9yZKUDevKC2XB3cfuDo5b1xDwY3/XsG1uOD7NcOlF95n7410wnpy9eLuNbtxnhO+9eDuG1dm8RvnRAG4KKhHjChvCPK/JrgXxQX5Fr9Rr+I38uHqeA3AMQClAMQBKHljnwtAYwCnAZzAv+/wBQCfAahVpQoQEwM89RTw/vvAJ58ALuEbo4M9e/DE1q14F0D8jfLPAsi9UWaxG8m8KLTJyr9R95sE1yd+16/c+OPuA1f/a/j33SuGf58N975wCO8tbtwP4fvO3TsmOBaFf98jLg/A9731wvf95ijAv++O8D1h8H/nOITveoEorbAsLh33PgvfGaegbsK6MNG54jYjfu+FdRT2N1w+BRJ5eWXOcYrSC+vLpeXKlypX2P6knqFXkJZD+O5I9U/C8oTXLdUHCuvI/Rb3n8L7Jux7uP8F+Pf+iespfIe46+LqIO4fhXmIxw7x+8mVL7wO4XlS7xd3HPC9XuHx6wB2Aihz4gSCCQlR4cKMGcDTT2MsYz4vIkGEIxVE2zEAngOAOnWAPn2Abt2ACxeAs2eBcuX0ZX7xInD33cD69UiFb8cdh8IpRIIgwp+uAPDBB4Va63ffBZ5/PuB1ICEqHHj2WeDjjwGABCgi8vnsM2DXLsDpBEqW1Heu1wvcdhuwd6/PbrFWhCCICKKgABg5srDf+OyzgBZNNlGhzoYNvABFEJGEorXSb78BrVsDxYvry3TaNB8BSjxVSxZSBBF58O16/nzgu+8CWrZuTdQrr7yCsmXL+u0/c+YM//vJJ59UzcfhcCAjI0Nv8UWPQYOCXQOCsAVVzZCgT9HMq6/KlkOaKIKITHza9rBhheYAgSqbaVy+4nQ6LV9KWFBQoJ4oTDl79izi4uKQn5+PMmXKGMuEscIpDYIoisTGFtpFaeXyZcCG+HsEQYQZV67o12IL0DN+6xqhGWOW/QWSdevWoVu3bqhSpQocDgeWLFmies7atWvRtGlTxMTEIDk5GdOnT7e/omKuXw98mQQRKuh1VBrkVToEQYQI584FrCjN03kHwjgUw4ULF9CoUSM88cQT6NGjh2r6AwcO4J577kH//v0xf/58/PLLLxg8eDBuuukmTedbRrFi6mkIIlJJSNCXvlQpe+pBEER4YXT2xwCahaikpCQ762ErXbp0QZcuXTSnnz59OhITEzF58mQAQL169bBt2zZMnDgxsEIUAKSkABs3BrZMgggFJk7Ul75sWaBmTSA725bqEAQRBtSvH1AFBBncSLBx40Z07tzZZ19qaiq2bduGa9euSZ5z5coVnD171ufPEmbMsCYfCYK1UqmorZAKxeu1s06W5B0XB3Tvrv+8//5XcncoPgM7oesNfrkh38YsLjdY1+t3bNo0G2viDwlREhw9ehSVKlXy2VepUiVcv34dJ2TsLsaPH4+4uDj+r1o1i1z6NWhQ6ETMBoK1WqmorZIKxeu1s06m846OBg4fBowsZOnZE+jb1/o6hRl0vcEvN6TbmA3lBut6fY69/DJwxx021sQfEqJkEK9E5Izh5VYojhkzBvn5+fxfbm6udZV54QVg5UqgVKki94VJFB0YUOit/PJl/U42ORwOYM4cYMqUwvAxBEFENAwoXMn77bfAW28FvHzyWC5BQkICjh496rPv+PHjiIqKQoUK4oAVhURHRyM6Otq+SnXqBJw7hy6dO+O3VatQEfIqTi6W03X8G89MGL9IGLtJGIOOi/vFBOcWB/B0//6YNnMmnz8XO4qLzwRB3lx8LmFsOS5uFbdfGCuJi9dUDP/GHysG31hLXAyvAhTGYuPidAlj2HHrGLkYYdfxb5w6rixuIlYcY4yrE3ffuPK4e8btv4p/40k9lZaGWRkZfNwwcf7COFvFBPXh8AIofeP4FfwbV467h1ycO26bi7snvC9c3LZzN44XA3D5xv8L+DeuHRe3Lxr/xp46dyNtAgrj2l29sX3uRnncuZfx77MrceNc7n7F3iinAIUx+KJuXNNBALfeyNsLYBuAsigMt+IC4L5Rx/M38u8K4EEAS26+GQ9++ilM43AAQ4YAzzyDn91u3HHkCP4PwNwbZUffuN5fURgG5viNuiejMLbe4Rv3IQ7AyRvpvSh8RmVR+A4ChfH2zt24P7E37hlu3BOuXXHt7zL+fRcY/o01yL0z3DvC3XfuXbh241zg35iUXH4x8I+F5xXtK3Yjz8v4990QvrPCPqQ4Cp/l6uXLcdfdd/PvGOAbs0wYZ+06Ct/f4jfuE9fGpeKtCcvm2pIwNp8wFp64bQrbLJd/lOBcYYxArs8RxjH0isoRx/CDaL8wrp5UrD2ufK4u1/FvjEOuv+PaL4PvNXF9wxVBfcX1EN5jqTh43LUKz+H+XxedLx4nxPH6uPpwfSAHFy8T8C+rQPBfeE/FUS65eohjMwrHDeHYwNUPgnqLYw1ybcqBwvbpAXBo71643W4EAxKiJEhJScF3Iq+nK1euRLNmzVAsiCvmPB4PVq5eDQbgSADLPZGYiN0BLC8caDt0KIZGgLPYfTblmyexb4tM2jo21QEOB87daK87ACxRSf6LXfUIMxxNm+KPYFeCIHSQnZ0dNCGqSEznnT9/Hrt27cKuXbsAFLow2LVrFw4dOgSgcCru8ccf59MPGjQIBw8exIgRI7Bnzx7Mnj0bGRkZGDlyZDCqz5OVlRVwH1sAglJmqOMkJ6hhgTC6PKENl0usTyCI0MXhcKBmzZpBK79IaKK2bduGu+66i98eMWIEAKBv376YO3cu8vLyeIEKAGrUqIFly5Zh+PDh+OSTT1ClShV89NFHgXdvIKJWrVpwOBwBF2rOGAm/EeI4nU549TpzFGC19/6iDPc223JHb7QVEqK08/nnnwe7CgShmU6dOgVNCwUUESGqXbt2ioLH3Llz/fa1bdsWO3bssLFW+nG73UhNTcXy5csDWu5ff/0V0PICwffff4/58+fjiy++MHT+sWPHLK5R0cVOIYo0UfoZNmxYsKtAEJq59dZbg1o+zUmEGQ0bNgx4mcuWLQt4mXaTkJCA22+/3fD5lq6+JOyDNFG6MaOhJYhAE+z3lYSoMIOmkayjbNmyhs8NZw/+oYadAg5povRD9n5EOGGZY2uDUGshiiQOhwMFBQXqCWX45Rday2U1Djts/UgTpZvmzZsHuwoEoZm5c+ciI4grpS2ziTp79iy+/vprbNy4EUePHsXFixcxe/Zsny/2I0eO4MyZM4iJiUFycrJVRRcpfv3112BXISJwOBym1MCvvfaahbUp2pAmKrTYvHlzsKtAEJphjGHgwIFITU0NioG5JULUJ598gpdffhnnzp0DUHhRDocDFy5c8Em3du1aPProo4iJiYHH40H58uWtKL7I4PF4sGLFimBXIyIwK0QFex7ebsyuXjQCrc4jCMIIBQUFQfMVZXo6b9y4cRg6dCjOnj2L4sWLo2nTprJpe/XqhcqVK+PKlStYtGiR2aKLHMHyExWJaBGilByrRrrdyAwbA1+LIU2UvTzwwAPBrgJB2IrL5QqaryhTI8HOnTvx5ptvAgAee+wxHD16FFu2yPklLhx4evbsCcYYVq1aZaboIgnnJ4owz7Fjx1SFKCWng127drW6SiHFU089FbCyOAHnnA0Gopw2vCgLUZYFQyeIEMTlcmHGjBnh6bF8ypQpYIwhJSUFn376KeLi4lTPSUlJAQD89ttvZooukrjdbnTp0iXY1YgIPv/8c1XDciUha+nSpVZXqchz4sQJeDwey/LzeDzIv+EotigLUWofXpGuVSUim2CbVphqPWvXroXD4cCQIUM0n1O9enUAwOHDh80UXWRp3LhxsKsQEXz66ac4deqUYpqrV6/KHgt2w7WTQA+qQgEnOzvbsnyzsrJoOk8D4kgMJFQR4QRnWG7lB5geTLWWvLzCMKN16mgPIRodHQ0AuHLlipmiCcIUXq8X+/fvN3x+JA80wZoydgCW2jXUqlWLhCioP8/u3bv7bE+fPp3MBoiwgjMsDwamRoLixYsDAK5du6b5HE7wMuPokCCswIyfqPT09IgN1BroAVQo4Fi5+tTtdqPsDRMDEqLkuemmm3y209LS0LdvXzurRBCWEraG5Zwh1x9//KH5nJUrVwKw9ouzKBFqX4jBCENjFdu3b1c8zmlNpUhLS0NOTg46depkdbWKLA5AUS3v8XiQmZmpS21fskQJACRE6U1fqlQpyWORrIElwpOwNixv3749GGOYM2eOpvT79+9HRkYGHA4HDT4RAqeNDEfUAisruTgACj8iEhISrKxSSHD9+vWAegAWCjhyavmMjAwkJSWhffv2SEpK0l0/EqL0pf/zzz8lj6Wnp1tRJSJEePDBB1X7uVBm4cKFyMnJQVpaWtDqYEqIGjJkCKKiovDLL79g3Lhximm3bduGzp074/z584iOjsbAgQPNFF1kCTVNVCSjZ5o60hgwYEDAyuIEHAek1fIejwcDBgzgjfm9Xq9mQ1IHOdvU3WdwGj8prBys2rRpY1lehDEcDkfYahfr1q2Lnj17Bk0DxWHq7tWuXRuvvvoqGGN488030aJFC7z33nv88eXLl+Pdd99Fhw4d0KJFCxw4cAAOhwPvvPMOKleubLryRPCJZKFOafFDsFaCBIpgrT6UUstnZWX51UevIWlRFqI4O1StWOHUV+2jGijaHymhwuLFi03ZhgaTqlWrBrsKACwI+/Lqq6/i2rVrePvtt7F161Zs27aNH1hHjRrFp+NCwbz22msYOnSo2WKLLOEutDgcjpDwuu50OtGnTx/MmzfP0PnBCjEQiXBvQ6X4eDwkoemoVauWXxgarYakpIkqjFmqhLhPkbrfetES0mvTpk2G8yes4/r168GugiFCZSy0RI/3xhtvYNOmTejevTtKlCgBxpjPX7FixdClSxesX78eY8eOtaJIwkb0vJx6X+S2bdti4cKFQVchr1mzBnPnzjV8Pi2MsJ5iUdLfdG6328cWx+FwaDYkJRcH0C3sc/fbzOpTLf1CKHxMEeGLkh+/QGLZSNasWTN8/fXXOHPmDHbt2oWVK1fihx9+wJYtW3D69GksXboUrVq1sqo4wmKEnd5DDz1kWzlr1qzB2bNnkZ6eHtQviSpVqqimUTKaj3QtlHBa3m64ofTIkSOyBuNCW5w333xTu20OaaJQunRpxeNSwgy3+tQowf5IIiKfdevWBXQBjByWv+lRUVFo2LAhOnbsiNTUVDRr1gwlbiwzJoKLktDyzTff8L9btmxpaz0GDBiA1NRUXZ7urUaLABepfqC0IJyK56hVq5atZaq5OOCoUKGCrjyBoi1ETZ8+3dB5Zj4UztoQB5EgxATTUzmHKSHq9OnTVtWD0IiZzumVV16RPSY09NejIfrnn39018Pr9WLjxo0oU6aM7nOtQss1Xrp0STVNVlaWFdUJC+y6Vi0uDoTomm4mTZTuaTMrBqWXXnrJdB6hSqjY4hDB9VTOYUqIqly5Mh588EH873//ozAuAUIt3psSe/fulT0m1Lro6SQOHDhguD7BxIqO0OPxkHGshci5OBBjZKqoKAtRaojbghE/XGIi2d4pEHa9gZwOjZKxRQwHgumpnMPUk7p69Sq+/fZbPPzww4iPj8eTTz6J1atXR3QDCjZ6pjLE/O9//5M9Jmy0dn9pORwOpKSk6H5PXC4X2rdvb0kdjh49ajqPUNFCud3usJ56FPqJ0mIwfvr0ac2ey2k6Tx2xNlmPH66iSLly5WzN3+VyBdSpabgKUXoWmNiJKSFq0KBBqFChAhhjOHfuHObNm4fU1FRUrVoVzz//vGpYDUI/+/btM3yuktASyEF45syZul/8N954Azk5OahXr54ldTBjNMtht42QVsqXL2+5RjCQAyj3Vt6cnKzJYHz06NHaPZfTdJ7qR5HUsw6FaZJQxa6PzNjYWGRmZlrSNxUF7r777qB6KucwJURNnToVeXl5+P777/HII48gNjYWjDEcPXoUkydPxu233466devirbfeMjX4E4V4PB589913tuRtVIiqWLGirvRt27blX3w9mqgGDRrA7Xajdu3ausqTo0aNGqbzcLvdthvha4ExhmrVqlma54YNGyzNT4jcIKT1i5h7b7RoTIq6JiozM1N1AYfUB00oTJOEKnZNtTkcDrRr1w5AYCMGhCty8R0Djem3weVy4Z577sH8+fNx7NgxfP7557jnnnvgcrnAGMPff/+NsWPHonbt2khJScEnn3xiyBiZMD991LhxY9ljwo5Bj3Bz4sQJXXUwGqeJG3i1OPHTghYXBzExMbLHuIFbjzYqMzMTd9xxh+b0WlF6Xg0bNgyZzoajd+/ePttmBBw1jUlRNyxv166d6gKOm266yWfbioCuzZs3N3xuqGO3vZKUh37Cn1AxYbD0bYiNjUXv3r3x/fffIy8vD5988gnvG4oxhs2bN2Po0KGoWrUq7rnnHiuLLhKYnT5KTk6WPWZUiNKLMMTArl27TOVVsmRJw+dqUckrdZZGjG/btWunKJgZRel57d6921CHbKdPN9lB3cB7p1VjUlSFKEDf9JPT6bQkoOuwYcNU04TKIKgXu6bzuHbMeYwPFOFqwxwq749tT6pChQp4+umn8fPPP2P//v3473//i1tvvRWMMVy/fh0rVqywq+iIxe12m3KCqNQwhS+k2UblcDjQrVs3yWPcgO7xeLB8+XJdeYrrZsYg0mxHyE0lXbhwIaDlGuHixYu6z5HSQigJ4XoQ3wOhYble1DQmRV0TBQDnzp3TnNbpdFpiqKvlPTeqlQ42agKOUQGI6xv1eIy3oj8J15X1ES9ECUlKSkL37t3xwAMPoGzZsoEoMmIZNWoUJkyYYOjcy5cvyx4zKkTdeeedfvsYY7Kr6A4fPgxAf5DTkydPak6rBSs6n4KCAl0DVLhjZmWoEFmhTqfwHhMTo6oxKeo2UYA+tyhWaSXCMeyL1oC2ate2ZMkSZGZmmqoL5zFePPUtRuoeFhU/VqHiFd/WWuTl5eGDDz5As2bNcMstt+Dtt99Gfn4+AGV7E0KZkSNHYsuWLbpfou+//172mFCI0uNEtXXr1n71cLlcsh1SdnY2PB6PbpV1WlqapS7+HQ6HYWGUw+Vy6bY34oRIKwnUYKQkhOtB7DDWaO31DBahNVxrw6pBQk34tWPQ1SK4WaUBadOmjSX5aLW3/PnnnxWPJyQk8AbiZnC73bj99tsV00hpY8aNG2e6bL3UrVs34GVGrCbq7NmzmD17Njp06IDExESMGjUKO3bsAGMMDocD7du3x+zZsy3x01OUad68uekgoUIWLlzI/3777bc1n1e2bFm/OHgffvghKlWqJHvOhx9+6BdUVg3GGAYOHOjTOZsRHo4cOYIXX3zR8Pmc8a0euyyPx4M///zTcJlyqN0Hq8Iu/fbbb5bkI9ZG87XX+Ty1PP9wnc5zOBz45ZdfLMkrLi5O8bhwoY9VAvmxY8csyUcNl8tl2FZUPPBrvfbPPvtM8biSUKokXEkJzWqC3YwZM/z2de/eXfEcO7Dbd5YUESVEXb16FYsXL0aPHj1QqVIl9O/fH2vWrEFBQQEYY2jSpAkmTpyI3NxcrFq1Cv369VMNikmoIw4SauaLUihQ6O1I09LSMHz4cH67X79+inWZNGkSPB6PbuPVgoICyzrnnJwcUwMGZ3yr557bFjZF4ToaN26M6OhoW8o1itqgrhU9zy8chCjhu9S6dWtVLYSRfKVQmzIygjCMlF04nU7MmDHD8Fjy119/+WxrfZ/U0indb+HHpVhoMqJ5lOpDgzGdt3HjxoCXGRFC1E8//YS0tDRUqlQJPXv2xJIlS3DlyhUwxpCUlISXXnoJf/75J7Zv344RI0YEpGEVNYRGoGbU/0aX1HINVjgwOhwOxalDo478XC4X4uPj9VdSguTkZNX7pdRZGjG+DYZzzuLFiwe8TDXE913L0CX1LCJNEyW0I6xTp45loYnU8hG2fasGYLHbBLtITU21THsmlY9UH6F2j5SOC4898cQTPseuXbumVkVLEGqmV65cGZAy7SAibKI6duyIuXPnIj8/H4wxlC9f3mdF3ltvvRWUudKiitB9gBRKjdvsCynsgI4cOYKJEyfKpjXiyI/76rTKT1TVqlVNhVYw4tHb7XbjlltuMVymERhjIWfAe/78ed3nSAn5moQoLq3uEgOPcHBzOByWCDRJSUnYsWOH5vRq91TRsamgvoHQhni9Xku9qssJMUJTBwB48sknLSlv9uzZPttXrlyxJFLAokWLFI8LA6vfddddpsvTQpMmTSzPMyI0UUChgXivXr3w7bff+vmGIkKH999/Hw888IDs8UmTJvG/jXSAws533759spoto4785syZ4zd9ZkY4cDgcpnzhGA3SqnUFkB6U7oMVAhR3z63qtM6cOeOzzdXw3I1FJ1JIfSBIXZvH45GMqxcOQtShQ4f431YJIV6vF99++60leQGF770cwucRCCHK6XSiZs2aln0kSBm6e71eP61aw4YNFfPReu1S9bZCKHz99dc1pw2UNkdNI169enW+f9F6/4y4brEDU3dw7ty5OHbsGL788kvce++9YRvIsChw2223Ka6I7NOnD//byOoOYYcgtfLO6XRi4cKFhh356Q0vo0Yg/ESpdVCB+lo3S+fOnZGZmYk9e/b4HVNaQCCH3Gqxf06ckP0Sl9NECYWmjIwMJCUl8XH1Fr/+OhJurChsDSBWd00Di1WG+2LUhAw97k2U3icrNVFaXSSsWLHCUCBzKaT8VklpzdUWRR0/flxTPaSuUVyWkfuop82LtWF2IV7ZK+4b3W43cnJykJmZiWeffVZTnhkZGZau2DaKKSHq8ccfD7mQEkUZJWnf6XQqdjbCxqpnykyqkVerVs3HUN3pdCI9PR09e/Y07cgvkH5s1FDyE5WZmYnFixcrljt48GDTdQDs0UQJO6cSJUqgXbt2kvH5jBj6iz2WC51tir/EOSEpNzfXLx+v18sLTYmJiejfvz+8Xi+SAfzk9aL7uHGofEO78DSAwwCMr8e0Hz2aHIfDgWnTpqF69eqmy/3yyy8l95sZoMy0Ly6UmBrcil3x9LBw6khKYPJ6vRg5ciTatm3rs1+sBJDTmqvZ9t5zzz2a7t2QIUN87lN0dLQljk71MHDgQEvyUYsh+uuvv/psz54928+XltvtRrt27TQvFOCefyCDpUsRGpZZhCUorcL6559/lGOMCRqzERWveAC47777+O1FixYFLNq21iknK4Qol8sl2+D37dsnqaUR3ierDEntEKKEnSuXh5l7tnr1av63nGG5A75f4kLNkpRtJWOM/+rmbL8SAfwMoAqAngC239C+DgUwD8A7ALT4/A+EVl18P7VqclwuF2bOnIlBgwapPl+1tuxyuZCSkuK33+Px6A6Ca8V0XmZmps+KYzUKCgqwc+dOn335gmnhnJwcP5smxhgmTZrk7zlfdC85rblYIFLTGHJaaimEZXbq1AlPPfUUvx0MD+5WxejTu4ClYsWKPu4ejPqgM7pIyUpIiIoglDrMnj17Ytu2bbLHjQpR+RJ2LGKjWCNTPmK0CgN6OmAzZar5iRo4cKCqWl/PSkOj8bS41bJ6EdogceebsZ8QdphK+XBaEW4Q5zp5rZ39BADXUDh9t8jhwKUbnfMxAM8BGAFgFIBGKvlcv37db5/V9iO9evXy2a5fv77qOZyQwX2UKH04LVy4UFbLxDF8+HBJ7YdcEFytoaOUBESg8DoSEhL88uDek2XLlinWW1gfsZZj//79/G+32y1pClBQUOBjYA34t3e32y0pTGrRMskt8hHbdKppXcx8uEyaNAktWrTgt/VGC5Eq26o24HA4fO7jtm3bDGk+Obu4YKLpjrhcLrhcLkl1p9E/sp+yHqUGp2cg1dNQpMKxiIWoQPot0aoON1Mn8UAmRUFBgaqa+e+//1Y8LnwOJUuW9HGuqtWOZc+ePbh69apiOeKyxPlzSN2zKlWq6DY4V9JEvfDCC5g4caKhSPaVATyIQkHq5I0yxKvzpqBwWu9pXTkX3g8zqzmlEGuAEhMT+d9y72e7du183nEl7cXDDz+MgwcPavZbJETOrnHTpk0++4Tvo9BJr/jcHj16+EzRtWvXTnYM0BoSyuVyYcSIEapppVyLaI02IPUeankvtbQJO1fOulwuPPTQQz5CdoUKFVSFWyGdOnXyeY5du3aVdV2Tl5enq34nT570E06NTM29++67AZ8CFaNptOQetviBC/cb+SOsxcxXglFNFGckLFbl2yVECcsxuzrPKMKBTK4OLpdL0oZIWO7//vc/xXKEAxZjjHeuqnfKQ4uq/JNPPvHZFnpCVtJEVahQATk5OaodmZ734cUXX0SpUqV0PSOXy4WPHnsMxQAsQuGiF8aYnxB15113YQkKNVV6MLogQgmxQCJenaf3y1w8beX1ejFmzBh07dpV9pzRo0dLDlziILicENm8eXOfdML3Uei0U/zsFi1a5BfuRw6tWtecnBwMGzZM9T0Rv5ucFjk21nepgVRblhMmleDcsahh1xjIlS++7uLFi2PmzJk++x5//HHZfBo0aOBj19m3b19J7SGg7khYfM8OHz7sJ4xyU3Pi6Vk5Xn75ZYwcOVJTWjvRpA4aO3asrv1EcAiGECWlIhYLUcFyila2bFnMnj1bMgyC3dqxGTNmSE7X6RECxQMWUDggiDtHKzrjfv364emn/9XPpKWl8fYa3FJiuZU8brdb9X4KzxW+Dw6H41+bqxv7vF4vLly4gHvvvRffffedXzopcnJyEPXtt8D8+biKQkNXp9MJB2czJcj7CgC9zhq0fO22atUKmzdvVvXXxvHVV1/5bAttbS5cuCBpk+TxeHzqIrzvctNWSsbnYpsS4T1OS0tDamoqsrOzUbNmTcl7IHwfhcKY2FcRY0xTGBvu+tLT033shaTgyu3SpYvP9F9ycrLPlJ4YTujn3i1hHaXKSE9Px8CBA/nn2r9/f0UhacKECT7tRw6xMsGIfZKc5iY1NdVvH+fW5euvv8by5csBqIewEWoqXS6XoX6zW7dueOqpp3D//ffz+6pWrQqn0+lzzS6XCyVLlsQPP/wgmY84/VtvvaW7LnZAQlQEodQInU4nGjRo4Gc/wGFU6OHO07ryz0rUOh2Xy4U77rhD8phVdZLLJy0tDZs3b1Y9V3jfnE4noqOj/Ww1gMD5guIQakF+/PFHTJgwAaNHj/Y7jzOOV5ueHzRokGRZgwYNAqZN80nLLStv0qSJZiHK7XYjt3ZtAEBH/OtM1XFjIGMo9KK9bu1afAzgD5l8XC4XCgoK+A5dq/YEKDSKnzx5Mlq0aKHpmSilyc/Pl3y/s7OzZYUoTmsiHpjEoUbEx5VsSqSEdjmEdZkzZ47fceH1ejweSaerSUlJSE9P1ySEcDRv3txHiFKz/eGux29aWeZ5cMIkp1nu2LGjohDVuHFjDbUu5Pfff+d/X7x4ERkZGbo0nlIaIM4JqfjjhvstXB2r1IeeO3fO5/yoqChD/eb333+PBg0a+Oy76aab/ATlGTNm4Pz587LP4eDBg5La/WBDhuVhjnCwU4ucrtXXktgZohAjq9+sEFi4hrV27Vp+nxlna1YJUXoFGGG5vXr18psusSNMi5FVP2ItyOjRoyU7XM7eSk2IEmpnhPfgkUcewa233lq4/8Y+bipC71f6teRkZKLQcPzw/v1ITk5G7A0v4AyFjoG7AagPYLpMHsLpKfF0jxaUBgExSu9g2bJlJT9m1AQe8RTcjBkzfNq92K7LiONbOfS0qcTERMl+hlvZpsc2RtxmtHpo11NfOcFVCiUXCEK/cidOnMCPP/7oc1zvtcvZe0m9J1JOc5U+mM+cOeNzrUqaKKX3kjGGd955x2+/UFhs2rQp0tLSFKdyg237JIcpIWrdunVYt26d5JezHJcvX+bPI8yhZxkyN0Uih7Bx7Nu3Tzad3BeYeOAwK0RJNSSPx4O5c+dqzoMxJlu2Vmd+ZpAqQ5hnq1atfAZtpS9QM5ooLUKUWHMgZUwr9Uw4w1UtWkEOYT6MMZ+B4Oabb+bvg1hLp4bD4cAYALcC2N+gAQa0b4/LN/omF4D/XL6MzwF8D+AnmTw4XzVGOmzuWrRqch955BGf+yL8Wi9durSkIbtavcR2c2lpaT4Crvgds9LOS0+bV3pn9S5b37Bhg+a0Shp3re1dLPgolSHm//7v//jfhw8f9itTfO3ivB5++GGf7RUrVviVLRSMpdxOCN+59PR02fe1XLlyPttKmii1Fdji/kGcDycIiz8EwgFTQlS7du3Qvn17HDhwQPM5hw8f5s8jzKFnBZPL5cLp06dlj8+bN4///fHHH8um09rpmrWJkrourat2tGKFt1szGi2Hw2Fq0NZSp0qVKmm6/88884zicZfLhXfffdevc+M6PzU7IKHwLRaicKO+DvhqFYTP+s0331S+ABRe92YAXQHcBiALhVonAJgJYOI//+B4s2Z42OGwLQwMNwhooXXr1j4LBITvwPnz55GWlubnH0uspZB6/8TvVKAGJGFdhg0bZjgfPbE1PR4Pli5dqjlvK4So6dPl9Jj+ZSghpbFSW7IvXMEJ+GuMHQ6HpD2UsF5CoTo1NRUHDx6UTF+mTBk/TZRcX6LmdFdtVaDYFi8nJ0d14U2oYHo6z+igRqvzzKP1q9flcmH8+PHYu3evbJohQ4bIHlMqg/MTFQhNlBFfSXJlHzlyRFWLp9VA2Gh99NwXPZqoUaNG8b/F3sHlUPIJxE0LjRw5UnZVoJobBaHw7XfdAiFKDqFRqhxcvj8BSATwOAAuGto6AN2qV0fy1q2YLTLotgojU7tCwUnolX3evHnIyMjw0yKKYzZqeYeCIUT169cPEyZM4N8hp9Opua56phjVVoUp1VHN2aYcaum0tmupfNTyFkdIkNIYq2nxhDMNiYmJPtosYcgV8QKh06dPy16b1Q4v3W63rD1rqBFwmyjuoYeTui5UEas+pQQMp9OJnJwcNGvWTDEvOY1Wx44dFb+s33rrLWRkZFguRIk9/jLGLFX1KgVJ5pByuKgVLXYNVq1aFN97oeCkdWCQ8hO1adMmv6lG8eDGPVstvqjkypJDWHct+S9YsID/fRnAZwC4NVqzAPx9Q8vVqlUrW1aMcrH8+vfvrym9uF0IjYy5kBZi/ztGbIaCIUQ5HA6MHDkSBw8eRGZmJg4ePIiZM2f62GvFxcXx6bds2aJpWluM3g8rYVrxDIpcCCcxav2Z1v7uyJEjfvsYY4rTeWItmFS7ldNkORwOeDwerF+/3qc84fsqtrESTj8+/PDDkqGstKA0PsihtNhFajtYBFyI4r5khQ2IMI7QBkJqaajT6YTb7UatWrUUX1y5jig+Pt4nirm48+Y6e6Hnco/HY0qIcjqdsh2p8HpL3DAaVkLJENJO1wtJSUn49ttvffZ5PB7DoTH0aDmMhJZJT0/3qc+MGTPQvHlzzVONV65c8dsnd31K03ly56gJUR6PB2PGjPGvA1eOYJ9YGBeWaSYOF2PM0inngoICnDhxQnI/N9CGkiZKCuHUotheS+jtX8+7Js5f/CGp5NKBu18ejwdbtmzxOaa2MIdj8ODBivdd6pjUu5aQkKAqBImdGUv5ahTm+fHHH8veQ4fDIWk/JsxTaOx/7tw5HweqXq8Xr732mmTeaoiv04gQZYVzTjvQNYocOnTI548jLy/P75j4LysrC8uXL8dLL70Eh8PBr8ghzMN1VFJz7FwDcbvdfo7WhEydOlXSG7Z4BZyU+rygoADbt2/nt5OSkvDNN9/w23qdJqanp6NKlSqyabjrVROClAazatWq2WrA6PV6MX78eJ99SUlJOHz4sOJ5RgZg8TnCZ3Hw4EFNWpy0tDR06tTJZ1srHo9H8iteHOCVw8h0h9o1LFy4UFKzGHXj+TJRfsIBvWnTpvx+4XSZXuGfMyzXep5aOrn3W2+oi2BoouSwwwZQ+CwPHjyomDdXR73TgEJuu+023HvvvaplCOHqd/fdd/P7ypcvL7maUlj/o0ePKtZF3PaV2q2W5yN0W3T69Gm/NmWkf3K5XHjppZcU00jlK37/5ZxzBhtdQlSNGjV8/oDCi+/cubPfMfFf3bp10bVrV375qZKnVMIYao0kLS1N1s1B586d+YYuXI66ZMkSrFq1it+WWlLrdDqxdetWftvr9eKNN97wOa6VrKwszQO4Fi2L0uo8YecrRVRUlKkBSMpe4c8//+S3peIOyqGn8xKq4AHtU21aNHtiHA6H7IAkt9Rbq02UHiHq+eefly7rRh4M/u+L2+1GzZo1fYROI9Nl4jxnzpxpaAq7fv36PgOq1LJwwDfUhZZyhIbEdn65C+ti1k+WXrQKZ1xfJNWPKSGcOnrqqacUhRslY/+YGwGxgUIXB1KrKYXIeQgXolW77XA40KpVK8U0wrzKlSune6pU6DW/Xbt2/HU98MADfnVRQ5xGz9RlINElRMmFbdET6iU6OhqjRo3Ck08+afnFFHXMqPZr1qyJFStWoGbNmnjxxRd9jk2dOpX/LRVCQSp+lVCA0DOgJCUlSe4X5+/xeCQHVq2DBFcnrnOTgrMny8zMxM0336ypXlJlyDFmzBjN8/pK5YiFg0Av2pCyS3G5XH5LpDm0DrbCY2Lv0lrh3kOGQm2A+H5LTb8Z/cLl8klLS8OhQ4ewcOFCn7YjRvx+VKxY0WdAHTVqFB9WCSh8H9977z3doS5++ulfhw5y7csKrPK9ZifCdt+kSRNN54hdyTDGNAdzFyO0wxo6dCgyMjIUBUDh85dD2PbUhB5OyFeyo+UoU6YMXnnlFX5bbGguhJtB6NmzJ7+vRIkSstel5V0R103K5CAUfEfpigIs9iXzxBNPwOFw4M0330TVqlVlz3M4HIiJiUHlypXRpEkTTYEfrWbq1KmYMGEC8vLycOutt2Ly5Mm48847JdOuWbMGd911l9/+PXv2+C05DiXMdGLcF/gXX3yhK+AmZ+P2/vvv+/n14c7TUy+u4XzxxRc++1etWoX77ruP35bTfogHP7my58yZ42e8LoYzZne73bodVrpcLgwePBhTpkxRzH/gwIFITU3V3RkIhYG8vDy/FVt6BSmxHZsexKExuGkJLYKI2CZKjo8++shQ3cQ2UeL7Lefl2+wXrtvtRs+ePWWXjwOFz0n43NasWYMVK1b4aCOEmgupqSq1Z+bxeHwEOSOhRbQSTkIUANx+++2a4rRJuZIx0r4AYNeuXT55qLV/qQDvQlwuF4YOHYpJkyYBUNdEAb7hfEqWLImWLVtKvhcOhwPdu3fnZxVWrVqFnJwcHy/j7733Hpo3by4bFsgM4mvhokBwZilWx7I0ii4hqm/fvj7bTzzxBADggQcewC233GJdrSxmwYIFeO655zB16lS0bt0aM2bMQJcuXfDnn3/6+d0QsnfvXp+VTkID61DErKF0QUEBHA6H36Ai3hbCNZyOHTvy034ulwtjx47ljRD1dq4ejwcvvPCCz76pU6fixRdfVBz8AGXPuUIGDx6Mrl27Kjb8a9eu8WEY9DrtzMnJQV5eno8QJVVfTuuh1gGJQ2ZIGVlydOvWDUuXLuUFGpfLpTodZtS2QKpj5jpUKUNvmUz88gOsCTYtFqLE91tOADTqbFPLPo4DBw74TdmJB1XhClEjddLjS84sgZzO02vYLXVMrOXhQv6IkeprlD5UpMpPSkrCiBEj/PartX8l/0uVK1fGli1b8Oeff2oSooQaa2E4H/H7z90DseapatWq6NChA6ZNm8ZPgQvdqYjRs4hGi00UoN1lSyAxNepmZmbip59+4u2jQpUPPviAj8VUr149TJ48GdWqVcM0UcwuMfHx8UhISOD/Qt0tg9SLqqejcrlcSElJ8TN2HDx4sOq59evX53/n5OTgoYce4rf1CndSHb/Y/4mcuwNhZ6Tksdzr9eLDDz9UrYuafYzc/ZXqFL1er199lLQecuVK3R9h53/bbbf5TAuphWQBtAufYoTXY8RoWKsmyihiIUrqfqvZpZhBSYCRcrMhnkpUs/tTG5yM+FYzSqhoorQKUZy3faBwYYKcDzSpcDpKLmM4VwJCvF4vPvjgA912PUo2UbGxsaptTegiY/fu3ZLmA8L3f8+ePbJ5aelHtGLEJipUMdW62rZti7Zt2xoySA0UV69exfbt29G5c2ef/Z07d1YNF9CkSRNUrlwZHTp0kDU+5rhy5QrOnj3r8xdotAhRcoO+8AtcPKiI750UwsFALvClVqQ6fqkVSVw9tdgNSDFp0iRVGyozK0DUvPg6nU4/rYdQYyS0XxE+NzkbJCF6BRpxrDo7kdXqibaF9RFO5eoqi8sLyo4cpe6XkdV5WvZxyD1H4Xuu1UWFHFICgF2Ew6AnrOPu3bv53w8//LBfCBUh4j4xOTlZsQy5wMBCbZRU+xej1LeptVePx+NXD7mPQrn+Qni/XC4XMjIyfBZiGPXV9M8//6imCYf3CSgCAYhPnDiBgoICv9g+lSpVkl1hUblyZaSnp2PRokVYvHgx6tSpgw4dOijG+xs/fjzi4uL4v2BEm5YTopRe9KSkJMkvcGGj0vIyW+lsU0rL9PTTT8sOfsIvSjFKZWsRkNS+FJXyF7oB4RDepwkTJvjcc4/Hg8uXL/PbSlOoUkujwxUt70dKSoqxvG/8HzBggG4tkxVClNABqJjk5GTVJe5qDl+11FEsANiFlYOe2uBstCxOaPV4PD6OIzmbUCX0fJjICcjCcDjvv/++bq2nng9GOXc0Sn2euN8Wbv/zzz+6fDUpPaPevXurPuNAaVDNYpl+jjGGXbt24ddff8WJEydw6dIlVUnZqOMuI4gfqNJUT506dVCnTh1+OyUlBbm5uZg4cSLatGkjec6YMWN8vjLOnj0bcEFK7qUT2lmIrzkqKkp2dZoelAJMGunwOBsb7h4KfRgZrZMYpWjnjDGfQU3uGtR8UUmVyU29iTtEJd81Uv5gxDZInMGnVu2jGCPPyew5jDF+qk2ck1BToOZnRrasG/+Tb77ZtOGrWqcvtYL01Vdf9dknXnAh9RyFCDVRHo/H8DUIbWDswgqhE9AWWN3oACv0EyW1KtMKjh49ittvv13V1s6sTzitU7lmFk0Iyzh48KAum05hXY8fP+5zTCy0St2LcNFEWSJEzZs3D6+//rriShQpAiFEVaxYES6Xy0/rdPz4cdXI00JatmyJ+fPnyx6Pjo5W1IgEArmXTviiG3G/rwWrNFHCgcJIpy8c6M6ePYtPP/1UMp3S1M64cePQpk0b0ytOxPYMXJmcsCMeCOSM5eUIxMBoB2IhSupd8Xg8WLlypU86Q2Vx/01+1WoZ2MV1lLPtE6P0HIWaqKSkJKSnp8vGITQiZJkRzMRY1ZfIGcNPmjQJw4cPN1UWd56cgGGFIJWTk4Pbb79dUkAW9k/PP/88ypQpo8tBppRmUrzoRNh/9unTxye4/GOPPabJGalU2WaEMimtvPBeazUsD0VM1/Lll1/Gk08+iZycHFUfUQD8tu2mePHiaNq0qY/DSKBwuWarVq0057Nz505Z54GhgpIPD+5Fv3Tpks8xq2y3lIQoPY1BHGBVL+KB7rnnnpNMpza1o1Vtr7Uz/+GHH/zKPH36tE8aJfsVo2FfQp3jx4+DSRiWWxU+hc/T5ACvZZWbeDm6mu2aFvcEQqQcgQptS4y0HbPtTQ4zz07uvgkXqxhFGMHBrilx4UIr4RSglL8pvY5dpVbZLl++nP8tfJ4ejwefffaZT9r58+crlicWooTvPBflQYjWlaxSq+DV7PPCRRNlSojavHkzH9qiU6dO2LVrF++R3OFw8LGfli9fjvvvvx+MMdxxxx3Iy8sL2LJbABgxYgRmzZqF2bNnY8+ePRg+fDgOHTqEQYMGASicihN6UJ88eTKWLFmCrKws/PHHHxgzZgwWLVqEIUOGBKzORpB76bgXXSo8x/Hjx1UbsfhrVwozTieFyHmM1topK61aE6LU8MeNG2f5wNKmTRu/L9HnnnvOrxwr7FdCXYjauHEj/7tPnz4+UeU59IRPUcIqIUrLKrc1a9b4PE+pgVro8kLt+tRsWjwej887osXbupxgZgVWTefJCThajf7Fx4TP5PTp0/y2VasyxcKA3Me23KpaPQtXhDaT169fh8fj8VllLHwHrChP2H9GRUUZDg8lnvXRIrQWCSGKcxGQlJSEpUuXomHDhj5OCR0OB8qXL4/OnTvjm2++wSeffIKff/4Zd999t66o72bp1asXJk+ejDfeeAONGzfGunXrsGzZMn71Exf7j+Pq1asYOXIkGjZsiDvvvBM///wzli5diu7duweszkaQ6+S5F12rg0oxwmkVOY/HVtpEmVkRp7ZqTQq5oMrC/WYbNLfsWcuXqJQBa6A1UXo9v+vJT2hs7fV6+UCwDvx7n7KysnDHHXdor7AM/NtgQYcs/gqXQvw8xQM151tPC2qr94wYDsudYwVWDnpWCThyPtW4Z2Q0lp+wjeXk5GDJkiWq52hZjSlGydnmwYMH8eGHH8p63DdSnvgZiqfuAPO+mlasWOH3TKX6LLFzbzs0plZgSojasGEDHA4Hhg4dqsmHxNNPP40ePXpg9+7diuEQ7GDw4MHIycnBlStXsH37dh8D8blz52LNmjX89gsvvIDs7GxcunQJp06dwvr163HPPfcEtL5GMOozRqlReTwen69nOQ2ilavzzHiMFn/BavEFZWQw4tAjsFjxZWgErXUUajXkpnnE+5SWKv/6668++cnVp0CwffLkSSQlJaF9+/b4+eefNdVbCTOaKGHwba3hUqSep9xArSVEh5JGxsggqcU9hlH0OttUQ0nA0dqnBKLNud1u2egX4nRqGjYxagGIlXxPGSlP3G+LNVEAdEdvEOfbtm1bVaHV4/HwM0Uc/fv3x/nz53WXbTemhCjOkdett976b4aCByrl46RPnz5gjCku/SWModaxcI1KmC4+Pl7xhdZqm2JWE8WlMeMxGvD/gu3Xr5/qOVoGIys0UUYGPQ67p+g8Ho+P0CM1NST1VZ+TkyOptfJ4PD62GkqxFJ0Cm6gjR478G+8uiDZRHo/Hx2ZNbtpLj/NUMadOnVJNo6SRMTJI2mkLFMjpF63TeWbanB1106thUwtAzPmeknsHzGr0hEIUV4ZWIUo49ah3PNiwYYPkKuPDhw9rKjuQmBKiOCEpPj6e3yeMiyf1lcot+7b767sootVnjNB5pppqVqvHYyOG5UKtBmMMI0eOlG3oWgdUbnWKHhU9N7AI665VkNM6cDgcDkODnhGMCB9aAvHKGVdLtWUl4bt3794+9+D2Fi0A2OuxXO/qPK3TXv369dP1POfOncv/lrKJk0LpfTYySNrloT1UhCghgWpzetDTP1WsWFHxOOd7Sul56ilPfF/VhCjxB5Q4FqTU+23mPQlFOylTQhQXS064wqtSpUr8zZZyIc9pr8QGzoR5tK6Ci42N1ZynVo/HejVRUloNLv6TXi5cuMD/Fk9DaW10wo5n7NixmgcWvQKL0QHMbk2Uli92PdPBSsJ3SkqKzz2oVauWydrLwz19vXdP67RX27ZtNT9Pj8eDZ555ht82sjpLCiN2PcJzxAOdUdsTq6fztJaldszOsD5662aGzMxMTJgwQVIgNGrbJUZpdd6RI0cAwGchiHg1oBZnnFoia7Rq1cpfY+10okqVKnouJyCYEqK4aby//vqL31e8eHF+v9SU3eeffw4AIXkzwh27Gq+WFWN6baKsslXweDzIz8/nt7WsUFKjbNmyhs+VQ3gPrOrw5DDibFPLF7uUJ/kaNWrIepJXEr597oGEiwOrMKqJ0jPtpfV5BssmTgmtA58WrFqdZwdG2pyeexCIa2nXrh2vrQ+EQOhwOPDtt9/y20lJSZgwYYJP5A4jqwG1vCdutxszZ870aX/p6emRF4D4zjvvBGPML65cr169wBjD7Nmz8dprr+GPP/7A1q1bMWTIEHz55ZdwOBzo0qWLqYoT/tip6lTrhPRqoqyyVVAzCjdyT/R4zw2UejkQnbSWL3YuDYeSwCknfAd02uffQnWfq+V+6LmWYNjnqGGlYBeK03lmMOpDy8q6SeVl50eYsLyzZ8/igw8+4Le9Xi9Gjx5taDWg0agVgdQgGsWUEPXAAw8AAL7//nufKb1hw4ahevXq8Hq9+O9//4uGDRuiZcuWvEuEcuXKYcyYMWaKJiTQY59jNUqDvNS0jlW2CsEemOwMqWIVegQwLR20MFDrzp07FQcaTYF9bzw/OzVRRl0cqN0PLcbhwryEq5K1BKC1GyvbTyCn8+xgwoQJPtt6tNp6wrGEMsK6nzx5UpPHfYfDoWs1oJ77Y7fW3gpMT+dlZmbim2++8XFHHxsbi8zMTLRu3drPa3n9+vXx448/hvRNCVeC6SZfaQpJrtHo+dIw6pjPjg5Nq3NSK8sOFY/lVk7/BAKj03laGTFihC5tRagJGlYaXgdyOs/qdu3xePDiiy/67deilfN4PCHxLK2mQoUKfmOK1BgjfBZa+nSpFXbhfP9M9yxt27ZFhw4dUL58eZ/9SUlJWL9+Pfbs2YOvv/4aX331FbZv347du3ejUaNGZoslJAhVbYdSvaz40rBa7St1LUKNg1DNL3VtWvfZhZ0dkhXTP+J7wQud5qvnX9aN/3bdET3G4R6PB08//bShc+3ETPuRc0hr9/uux7BcC3KrSZ1Op6RWbv/+/fzvpKQk3tY3koiLi/MTsEeMGOGXzuv1+rR/qT598eLF/O/q1atb4jgz2O2Gw3bVRZ06ddC9e3f85z//QZMmTewurkgTzOk8pTA+VpSn5LkXkBfGrCjb4/HwK1MAXzV/oKKPh8qXmh3Tp3JXZmXYF7s0UYB2ITIUDcs5jH7MyNkN2f2+WhVmikNuNem7777rd088Hg+2bdvGb3u9XowcOVJ3mXoJhtAgFrCHDRumu/17PB68+eab/LbUNKnW92X37t38b7viPuolPMIkEyGP1Z0a4LvUeuDAgUFrMFp8KAmJZE2U2KcWoD0IqRxymqi2bdsazpPP+99CTOclh1YhMtj2e1agFBTZ7ndc2P7Pnz9vaX8gntZ0Op147733JIUjNR9iVt6Hn376if8daKGBuw6hgG1k+tfKldjCEGRWrMS2AhKiCEsQNxLhQG7EVsuKiOeANR2a3sHPDiHKjGBktVAlnO6pX7++7unTM2fO+O6QEaLq1atnoHairEVlWI0eG6JQdPyoFzMhksToeS+N2uLp6S+EWpeDBw9i1KhRkunsDJ0jxOPx+HywBFpoELqOEaJ3+ldL/6nlXdD7MRso1APeAfj0009tKfzxxx+3Jd+iSjjaRMmh9PVi96AjvhZu8Bs4cCAKCgpUBz+lqU2r6mQ1nKd3vWgNASH8gn755ZcRHx+v2vlKOevVi5VClFgLEBUVhQMHDui6b2lpaUhNTUV2dja/oimc4AZEcWBa8QeFWsw3vejpD4RT70lJSUhPT9cs6HPaFrU04v5gwoQJvL1QXl4eKlWqpKk8JZSEBrveG+E7PmnSJNxyyy2S907LfRKm1dN/yqH13Qs4TAMOh4M5nU5L/1wul5aiw5b8/HwGgOXn5weszNOnTzMUmpj4/Il56KGH+GM1a9bUXY5U3j169PDZl5OTw2+fO3dOdxm5ubnM6XT6lOVyuVhubq6ufK5evarpngiv6/3335etU2Zmpk8dunfvLpl/bm4u27p1K7/t9Xp11Vtcp2rVqmlO+8ILL/jsL1asmGQdhX9Op5PNmjVLd70aN26smlbtWa5/6inGALZMpY5G/o4AjAFs55w5mq9N6zVwz7moMWvWLOZyufjnyL03s2bN0vU+VahQQbE9CtHaH+Tm5vo9IyP9hhaE/cEHH3xguC0p5W9FHxgq5Un1n1w5jRo10pSH3LtnNXrGb83zLEzkqsCKPyJyUHqeRjRRoTj1IWV8K/SPJsRqFbOe9mKkbRmdKtBSlqpNhI0aVKtW5+mJGxjpSE3niKfbtLxPet5Trf2BldONWurUrl07APCxnbJq2i3QfaDdCx+UFi9cvXpVUx6h6IBT03TegQMH7K4HESSsEmaVbKKMYsXUh1Uey+UoXbq05P6aNWv6TGmE6lSrECNTBVqmLrWq4UMp7IsYqWsApOMGFgXE0zmBmH7X0h8EY8rHzmsP5PRvoO+dcOpwz549yMjI0CQU6ZlKDASahKikpCS760FYwGeffRa0soUDtXjp/5EjRwwHmQ21BiOmVKlSfvuioqLgdrsttQsxo4nSaqNlpMPUUi9Vmwgb3Q9YZRMlvgagME5oKL+bgSRQA7Baf2CV/Y0e7L72QPWB3L176qmnABR++Nl17+QWCqSmpoZdm6LVeRGCx+PBc889p/s8qzQkwthoSUlJPurtunXrhoQ/D62YnTrTamwdCDwej6wQddNNN5meKtAqoGmKQ6erZG1YaVgujhsYFaXpG7RIEErT74Ge8gmlazeL8F498cQTtt27UPaZphfqBSIEOZsNKewImfDrr7/y216v18dDLWcjEI5fGUaww97PaJ5SNiIcZcqUwY4dO0xNFehZiSj3RW3nVKfVzjaLwvtrlFBaeRhoDXYoXbtVREdH25Z3yK60M4BlQtTZs2fx9ddfY+PGjTh69CguXryI2bNn+0wFHjlyBGfOnEFMTAySk5OtKpqAvM1GIFAaqDkC5Z5AzJw5cwJaHgBcvnwZGRkZQQtvJDR2V3ovHA6H6cHGSoFRLEo5HA7T+dvpJyoYbS3UCfXpdzuJtGvXE1xbL8GYdrULSz7PPvnkEyQmJqJ///6YPXs2li5dijVr1uDChQs+6dauXYv69eujfv36tj6goohYpRxI5EImCAnGV4bH48GgQYN0n3f69GnTZQ8cOBDHjh3zqYsZhAG+pRBOl86cOZPftvu9sEKQOH+jnxCLOffdd5/pvK0WooT3mROWCWPQCu3QQ/g+L1iwwNb3OxRX2hnCsCOFG4wdO5Y5nU7mcDhYTEwMa968Oe9X6o8//vBJW1BQwKpUqcKcTidLT083W3RIEww/UYz964sDCj6R/vOf/1juJ0rsv6Nv374B8eehxE8//STrP0iM0MeNw+HQXN/HHntMtow+ffqY8h0jrBMA2fO1+HeR8p9j5NlzWJEHx7uNGjEGsJWi+t1zzz2m/USduuEnatdXX5muZ6D99kQ65cqV0+wnirAfer//xRY/UVLs3LmTDyz42GOP4ejRo9iyZYtseqfTiZ49e4IxhlWrVpkpmpBB6LskkIi/KubOnRv0rwwtGjLAuhAzQpxOJ+bPn89v6/UdoyfMhRYjTSk1uZp2SwtmNVFHdu1Cwg17upoAUgTHrNCeWWkTFUnGsAQhht5vY5jqWaZMmQLGGFJSUvDpp58iLi5O9ZyUlMJu8rfffjNTNBEiCAd1sTM1o5HhrULrVJZVnYdwdc6IESNMxXnSUyejgW1zcnJMq+vF16iZ69eB555Dwu234+Ebu6oA2ABgG4A6AM6dO2eqboC103mREEA4lDD87hC2QO+3MUwJUWvXroXD4cCQIUM0n1O9enUAwOHDh80UTZhAuBrq8uXLpvIKdGRxvQg1ZHJY1XkINW/Dhg0zlaeeOplZYm1W42ZoIGQMeOIJ4JNPcG7ECAy+sftnAKkAYgCsA1D50iXD9eKwUoji7rOQcDWGJQgxkeSqIaCYmTcsUaIEczqdbMeOHT775WyiGGNs586dzOFwsOLFi5spOuQJlk0UBxTsf6pXr+5zvG/fvprzDWRsKqtRuidGYzIJbaKsytPo+VKxqYSInxv3l5mZqatewrwqVaqk/9lnZjIGMPbZZ4wxxl5KTmYMYKtv5FkBYDkA+7laNdM2UWdv2ET9umiR7mtUu3agaMbOs4qyZcuSTVQIotaPFAUCZhNVvHhxAMC1a9c0n5OXlwcAKFu2rJmiCYNs3brVx2EgAMybNw9bt27VdH4gY1MFEjtWipjNU+/5StOnctpCs+r6Y8eO6ddGTpsG1K0LPPooAKB8hQoA/tUanQQwCUALjwfxhmsGnzyt8hMlJtQ1sQShl2CbYYQbpnoW7ib/8ccfms9ZuXIlgKIbcyrYrF+/XnL/L7/8oun8SJ43t6PzMJunFXWSMlIHjKvrxdN/ugOubt0K3HcfP8Um9RH2fwCiGENjXTXzhxOi/jl50mROhZi+doKHkU0UEQGYEqLat28Pxphmh4b79+9HRkYGHA4HOnXqZKZowiB33nmn5P7WrVtrOp/mzcMPOW/2X375pSGNm2ltpNfrEy/v2D//AACE5v9cbc1aMnHn9+/f3xKNUaRqYgmCMIYpIWrIkCGIiorCL7/8gnHjximm3bZtGzp37ozz588jOjoaAwcONFM0YZDmzZujb9++Pvv69u2L5s2ba84jYpykFRHktIfcSlm9bNu2zW+fLm3kbbcBy5YBjMHj8SDnxiITYfiEewBcB2B2DS8nRBVY4LYCgGQg7UjRxBIEoR9TQlTt2rXx6quvgjGGN998Ey1atMB7773HH1++fDneffdddOjQAS1atMCBAwfgcDjwzjvvoHLlyqYrTxhj7ty52LJlCyZNmoQtW7Zg7ty5uvOgefPwwUrtocfjwejRo/32v/POO9rzGzQI2L0bWLIEWVlZ4LxVcUJUGQAjUDild0R3DX3hhCgGazRG4mskTaxxaDqPiARMx8579dVXce3aNbz99tvYunUrtm3bxi+hHzVqFJ+OMQaHw4HXXnsNQ4cONVssYZLmzZvr0j4R4Y1VAVLlpgabNWumPZOOHYEHHgAeeQSNX34ZxW7sjgLQEsBHAG4C8IqhGvoiFKKs1hi1a9cOn332GQlQBFGEsWTJyhtvvIFNmzahe/fuKFGiBBhjPn/FihVDly5dsH79eowdO9aKIgmC0IkV2kNLFhY4ncCXXwIPP4xyr72Gr26s8q0PYCOAsgDuArDXAt9OQiFq+PDhlgo8lSpVIgGKIIo4lq37bdasGb7++mucOXMGu3btwsqVK/HDDz9gy5YtOH36NJYuXYpWrVpZVRxBEEHAsqnBmBhgzhxg3z54u3cHAJwHcDcKvZXvAtCoUSPT9RUKUcOGDTOdnxAtIYUIgohsTE/n+WUYFYWGDRuqplu0aBF69OhhdfEEQdiMVVODAIAaNXC1Tx/EfPUVTgBYITjksFATZQckRBEEYbkQpQRjDF988QXefvtt7N2715IAqARBBB63223dVFZUYTck7ox27txpOEsHCqcEOTGnHYDsvXstnX6zQsgjCCK8CYgQdf36dcybNw/vvPMO9u/fzxuZEwRRxDl4EDHz5gEAqgL4FEAGgBMAClA4Dee48d8r+C2cphPqg5wAWqHQKL36jeMAMB/A9SeeAKZMAe6/35KqkybKHLQ6j4gEdAtRFy5cQHp6OlatWoXc3FxERUWhevXq6NmzJ3r16sXbSgCFjWTu3Ll4/fXXkZuby+8rXrw4+vXrZ9lFEAQRZni9wHPPAVOm8KvzYgD0ufFnFUJhKyo/H3jwQWDhQuChh0znTUIUQRC6hKjdu3fjnnvu4ePfCfd/++23mDZtGn744QeUKlUKWVlZeOSRR7Bjxw4AhcJTTEwM0tLS8OKLL9KqFoIoygwfXqgVgr12SxwOADh7FnC5gAEDgK5dgRIlTOVJQhRBEJp7gQsXLuD+++/HkSNH/FwYcH8bNmzAkCFD8McffyAlJQU7duwAYwyxsbEYMWIEDhw4gClTppAARRBFmcOHgY8+sjxbpckh/lhBAXD6dKE2yiRkkmAO4XQexR4kwhXNQtSnn36KgwcPwuFwoH379li3bh3Onz+PS5cuYfv27Xj44YfBGMOXX36Jhx9+GKdOnYLD4cDgwYOxf/9+TJw4EZUqVbLzWgiCCAcmT7YlWyWRxu/YqlWmyyNNlDmEgaeTkpIsiW1IEIFG83Ted999B6Aw1Mvy5csRFfXvqU2aNMEXX3yBM2fOYPny5fjjjz9QvHhxLF68GPfcc4/1tSYIInxZvjzYNQAsCBhMQpRxPB4Prly5wm97vV4MHDgQqampNFNBhBWae4HffvsNDocDI0aM8BGghLz88ssACtXcTz75JAlQBEH4I9BABI0yZUxnQdN5xsnKyvLbZ0VsQ4IINJqFqJMnTwIA6tSpI5umXr16/O/77rvPRLUIgohYGjcOdg2Anj1NZ0FClHEsCR9EECGAZiHq8uXLAICKFSvKpilfvjz/u0qVKiaqRRBExPLhh8Et3+EAnnzSdDYXL160oDJFE8vCBxFEkLFtUl9uyo8giCJOpUpAgwY+uwLqdvHxxwtdHRhAaPz86aefkjG0CdLS0pCTk4PMzEzk5OQgLS0t2FUiCN2QZSRBEIFn1y4gLo7fDNjE2C23AHPnGjrV4/FgwIAB/DZjDAMHDqTl+SZwu91o164daaCIsEW3umjq1KmIj4+3JN1rr72mt3iCICIBp7PQX9Ojj4J9+SUA+wQpTsvlGDUKeO89w/lkZWXB6/X67OOMoUkIIIiiiYNpDGDkdDotN6QsKCiwNL9Q4uzZs4iLi0N+fj7KWLASSC/CZ0Uxqgqx45706dMH8+fPtzTPogZjDBWcTvQD0AJAWQAuFKrJhbHzhL0Pw79x88RpvACuozD+3i8ojMe3fc8e1K1b11Q9PR4PkpKSfAQpl8uFnJwcEqIIIoLQM37r0kRZOUjQyhaCIIDCvuA0gEnBrogKnDH0wIEDUVBQQMbQBEFoF6IyMzPtrAdBEIRtWPXRlpaWhtTUVGRnZ6NmzZokQBFEEUezENW2bVs760EQBBEWuN1uEp4IggBQhFbnTZ06FTVq1EBMTAyaNm2K9evXK6Zfu3YtmjZtipiYGCQnJ2P69OkBqilBEFZD5gMEQdhBkRCiFixYgOeeew4vv/wydu7ciTvvvBNdunTBoUOHJNMfOHAA99xzD+68807s3LkTL730EoYOHYpFixYFuOYEQVgBCVEEQdhBkRCiPvjgA6SlpeGpp55CvXr1MHnyZFSrVg3Tpk2TTD99+nQkJiZi8uTJqFevHp566ik8+eSTmDhxYoBrThCEFRw9ejTYVSAIIgKJeCHq6tWr2L59Ozp37uyzv3PnztiwYYPkORs3bvRLn5qaim3btuGaTPDUK1eu4OzZsz5/BEGEBu3atSPv4gRBWE7EC1EnTpxAQUEBKlWq5LO/UqVKsl+nR48elUx//fp1nDhxQvKc8ePHIy4ujv+rVq2aNRdAEIRpvF4veRcnCMJyIl6I4hDbRDDGFO0kpNJL7ecYM2YM8vPz+b/c3FyTNSYIwko47+IEQRBWEfFRgitWrAiXy+WndTp+/LiftokjISFBMn1UVBQqVKggeU50dDSio6OtqTRBEJbjcrlQs2bNYFeDIIgIIuI1UcWLF0fTpk2xatUqn/2rVq1Cq1atJM9JSUnxS79y5Uo0a9YMxYoVs62uBEHYg9PpJO/iBEFYTsQLUQAwYsQIzJo1C7Nnz8aePXswfPhwHDp0CIMGDQJQOBX3+OOP8+kHDRqEgwcPYsSIEdizZw9mz56NjIwMjBw5MliXQBCECdatW4e0tLRgV4MgiAgj4qfzAKBXr144efIk3njjDeTl5aF+/fpYtmwZkpKSAAB5eXk+PqNq1KiBZcuWYfjw4fjkk09QpUoVfPTRR+jRo0ewLoEgCBNUqVIl2FUgCCICcTAKPW8LeqJA24HQAJ4ecSF23JM+ffpg/vz5luZZFLHbGeb+/ftRo0YNW8sgCCIy0DN+F4npvKKG2B8O+cchijoLFy4MdhUIgohASIiKMDweDwYMGOCzj/zjEEWdl19+mdoAQRCWQ0JUhJGVlQWv1+uzj/zjEEUdagMEQdgBCVERRq1ateB0+j5W8o9DFHWoDRAEYQckREUYbrcb6enpcLlcAAoHD/KPQxR13n77bWoDBEFYTpFwcVDUSEtLQ2pqKrKzs1GzZk0aPIgiT+/evYNdBYIgIhASoiIUt9tNwhNBEARB2AhN5xEEEfHY7YeKIIiiCQlRBEEQBEEQBiAhiiiS2OEziPwQGSMQzmBJE0UQhB2QEEUUSZKSkiwZvIW+h6zKsygh5RyWIAgiXCAhiigSiLVEXq/XtCd3j8eDzZs3W5pnUUPKOawdkCaKIAg7ICGKKBJkZWX57TPrxTorK8sv6DB5xtaHlHNYgiCIcIF6L6JIYIcnd/IObx7OOSxBEEQ4QkIUUSSww5M7eYe3hrS0NNx8882Gz9cyVSfWGBIEQViBg1HvYgtnz55FXFwc8vPzUaZMmWBXh7iBx+Ox3JO7HXkWJTweD6pVq2b4/D59+uCzzz5TTJObm0vPhiAITegZv8ljOVGksMOTO3mHN4eUvZoeKleurJqGvhUJgrADms4jCCKo1KpVS1d6p9OJkSNH8tu//vqr6jmBWAFIEETRg4QogiCCitvt1jydl5mZiYMHD2LChAn8vpUrV6qeR5oogiDsgIQogiCCTtWqVTWla9eund/UqRYBiTRRBEHYAQlRBEEEnejoaE3ppByZalmdd+TIEd11IgiCUIOEKIIggo7W6TYutI4wvI6Wc9u2bUsheQiCsBxanUcQRNjg9XoNxdrjQvKkpqbSSkqCICyDNFEEQQQdPYbfXq/XkI0TheQhCMJqSIgiCCLo6BGinE6noXh7FJKHIAirISGKIIigo1WIcrlcSE9P9wu3wyFnZE4heQiCsAOyiSIIIuhoFaK+/PJL9OzZEwCQmpqK7OxsbNu2DaNGjZLMZ8uWLbhw4QKF5CEIwhZIiCIIIixwuVxISUnhtzmhqEOHDrLnNG/e3PZ6EQRRdKHpPIIggo6aJkpuOi4rK4scaRIEETRIE0UQRNBRE6KE03hCatWqBafTSYIUQRBBgYSoIFNQUIBr164FuxoRS7FixXwMj4nwQzyNJ8TtdiM9PR0DBw5EQUEBXC4XCgoKAlxDgiCKKiREBQnGGI4ePYozZ84EuyoRT9myZZGQkKApPAgRHJQ0UcOHD1c0Ck9LS+ONzGvWrKk5mDFBEIRZSIgKEpwAFR8fj9jYWBrgbYAxhosXL+L48eMAgMqVKwe5RoQcSkLUsGHDVM93u920+o4giIBDQlQQKCgo4AWoChUqBLs6EU2JEiUAAMePH0d8fDxN7YUB4ik5Eo4IgghVaHVeEOBsoGJjY4Nck6IBd5/J9ix0EWqicnJy8N///teSfD0ejyX5EARBSEFCVBChKbzAQPc5vHC73WjQoIEleSUlJSEjI8OSvAiCIMSQEEUQRNDREztPCbHmyev1YuDAgaSRIgjCFkiIImyhevXqmDx5crCrQYQJVglRWVlZfvsKCgqQnZ1tSf4EQRBCSIgidJObm4u0tDRUqVIFxYsXR1JSEoYNG4aTJ08Gu2pEEadWrVp++1wuF2rWrBmE2hAEEemQEBXmeDweZGZmBmy6Yv/+/WjWrBn+/vtvfPnll8jOzsb06dPx448/IiUlBadOnQpIPYjIwipNlHgln1y4GIIgCCsgISpEYIzhwoULuv6mTp2KpKQktG/fHklJSZg6daruPPQOXs888wyKFy+OlStXom3btkhMTESXLl2wevVqHD58GC+//DKf9ty5c3jkkUdQqlQpVKlSBVOmTPHJa9y4cUhMTER0dDSqVKmCoUOHWnIvCQIAxo8fj5ycHKSlpQW7KgRBRCjkJypEuHjxIkqVKmX4fK/Xi2eeeQbPPPOMrvPOnz+PkiVLakp76tQprFixAv/97395/0scCQkJePTRR7FgwQJMnToVADBhwgS89NJLGDduHFasWIHhw4ejbt266NSpE77++mtMmjQJX331FW699VYcPXoUv/76q666E5GDVZooIQ0bNiQNFEEQtkJCFKGZrKwsMMZQr149yeP16tXD6dOn8c8//wAAWrdujdGjRwMAateujV9++QWTJk1Cp06dcOjQISQkJKBjx44oVqwYEhMTcfvttwfsWojQQkmI8ng8hoQhcm1BEITd0HReiBAbG4vz589r/tu7dy+cTt/H53K5sHfvXl35WOnwkxsIucFLHDQ2JSUFe/bsAQD07NkTly5dQnJyMvr3749vvvkG169ft6wuRHizcuVK/jf5eiIIIlQhISpEcDgcKFmypOa/2rVrIz09nQ9jwhnQ1q5dW1c+er7Wa9asCYfDgT///FPy+F9//YVy5cqhYsWKitcJANWqVcPevXvxySefoESJEhg8eDDatGlDXsWLKEJNlMfjwSeffMJvk68ngiBCFRKiwpi0tDTk5OQgMzMzIAa0FSpUQKdOnTB16lRcunTJ59jRo0fx+eefo1evXrygtGnTJp80mzZtQt26dfntEiVK4L777sNHH32ENWvWYOPGjfjtt99svQYiNPF6vfxvbtpYiBFfTydOnLCkbgRBEHKQTVSYE+jo9R9//DFatWqF1NRUvPXWW6hRowb++OMPjBo1ClWrVvWJefbLL7/gvffewwMPPIBVq1bhf//7H5YuXQoAmDt3LgoKCtCiRQvExsbis88+Q4kSJZCUlAQAGDNmDA4fPoxPP/00YNdGhAa1atWC0+n0Eay0+noSTvv17dsXV69epdV5BEHYBmmiCF3UqlUL27Ztw80334xevXrh5ptvxoABA3DXXXdh48aNKF++PJ/2+eefx/bt29GkSRO8+eabeP/995GamgoAKFu2LGbOnInWrVujYcOG+PHHH/Hdd9+hQoUKAIC8vDwcOnQoKNdIBB6h5sntdktOVat9LHg8HgwYMMAnT5oGJAjCThzMjrXFBM6ePYu4uDjk5+ejTJkyPscuX76MAwcOoEaNGoiJiQlSDYsOdL9DnwYNGuD3338H8K9A5fF4kJ2djZo1a2rStmZmZqJ9+/aS+9u1a2dpfQmCiFyUxm8xNJ1HEETQkfqW0ztVbWYakCAIwgg0nUcQRNCxQiFudBqQIAjCKBEvRJ0+fRp9+vRBXFwc4uLi0KdPH5w5c0bxnH79+sHhcPj8tWzZMjAVJgjCMIFesUoQRNEm4qfzHnnkEXg8HixfvhwAMGDAAPTp0wffffed4nl333035syZw28XL17c1noSRFHGStPMQK9YJQii6BLRQtSePXuwfPlybNq0CS1atAAAzJw5EykpKdi7dy/q1Kkje250dDQSEhICVVWCIAiCIMKMiJ7O27hxI+Li4ngBCgBatmyJuLg4bNiwQfHcNWvWID4+HrVr10b//v1x/PhxxfRXrlzB2bNnff4IgtAGLRImCCIciWgh6ujRo4iPj/fbHx8fj6NHj8qe16VLF3z++ef46aef8P7772Pr1q1o3749rly5InvO+PHjeburuLg4VKtWzZJrIIiiAAlRBEGEI2EpRI0bN87P8Fv8t23bNgDSkdwZY4ox43r16oWuXbuifv366NatG3744Qf8/fffvLdtKcaMGYP8/Hz+Lzc31/yFEgRBEAQRsoSlTdSQIUPw8MMPK6apXr06du/ejWPHjvkd++eff1CpUiXN5VWuXBlJSUnIysqSTRMdHY3o6GjNeRIE8S+kiSIIIhwJSyGqYsWKqFixomq6lJQU5OfnY8uWLbj99tsBAJs3b0Z+fj5atWqlubyTJ08iNzcXlStXNlxnQhtr1qzBXXfdhdOnT6Ns2bKazqlevTqee+45PPfcc7bWjbAPEqIIgghHwnI6Tyv16tXD3Xffjf79+2PTpk3YtGkT+vfvj3vvvddnZV7dunXxzTffAADOnz+PkSNHYuPGjcjJycGaNWvQrVs3VKxYEQ8++GCwLiVk4HxoDRo0yO/Y4MGD4XA40K9fv8BXjCAIgiACTEQLUQDw+eefo0GDBujcuTM6d+6Mhg0b4rPPPvNJs3fvXuTn5wMo9HL822+/4f7770ft2rXRt29f1K5dGxs3bkTp0qWDcQkhR7Vq1fDVV1/h0qVL/L7Lly/jyy+/RGJiYhBrRoQrpIkiCCIcCcvpPD2UL18e8+fPV0wj7MBLlCiBFStW2F0tqUoAFy8GvtzYWEDByF6K2267Dfv378fixYvx6KOPAgAWL16MatWqITk5mU935coVjBo1Cl999RXOnj2LZs2aYdKkSWjevDmfZtmyZXjuueeQm5uLli1bom/fvn7lbdiwAaNHj8bWrVt5jeD48eNRsmRJgxdNEARBEOaJeE1U2HDxIlCqVOD/DApuTzzxhI9H99mzZ+PJJ5/0SfPCCy9g0aJFmDdvHnbs2IGaNWsiNTUVp06dAgDk5uaie/fuuOeee7Br1y489dRTGD16tE8ev/32G1JTU9G9e3fs3r0bCxYswM8//4whQ4YYqjcRmpAmiiCIcISEKMIQffr0wc8//4ycnBwcPHgQv/zyCx577DH++IULFzBt2jRMmDABXbp0wS233IKZM2eiRIkSyMjIAABMmzYNycnJmDRpEurUqYNHH33Uz55qwoQJeOSRR/Dcc8+hVq1aaNWqFT766CN8+umnuHz5ciAvmbAREqIIgghHIn46L2yIjQXOnw9OuQaoWLEiunbtinnz5oExhq5du/qsmNy3bx+uXbuG1q1b8/uKFSuG22+/HXv27AFQGJanZcuWPj67UlJSfMrZvn07srOz8fnnn/P7GGPwer04cOAA6tWrZ6j+ROji8Xgo9h1BEGEBCVGhgsMBhJmNz5NPPslPq33yySc+xzjNgtipqdDRqRbtg9frxcCBAzF06FC/Y2TEHjkIwyQlJSUhPT0daWlpQawRQRCEOjSdRxjm7rvvxtWrV3H16lWkpqb6HKtZsyaKFy+On3/+md937do1bNu2jdce3XLLLdi0aZPPeeLt2267DX/88Qdq1qzp91e8eHGbrowIJB6PBydOnOC3OcHZ4/EEsVYEQRDqkBBFGMblcmHPnj3Ys2cPXC6Xz7GSJUvi6aefxqhRo7B8+XL8+eef6N+/Py5evMhrGAYNGoR9+/ZhxIgR2Lt3L7744gvMnTvXJ58XX3wRGzduxDPPPINdu3YhKysL3377LZ599tlAXSZhM1KRAAoKCpCdnR2E2hAEQWiHhCjCFGXKlEGZMmUkj73zzjvo0aMH+vTpg9tuuw3Z2dlYsWIFypUrB6BwOm7RokX47rvv0KhRI0yfPh1vv/22Tx4NGzbE2rVrkZWVhTvvvBNNmjTBq6++St7jI4hatWrB6fTtilwuF2rWrBmkGhEEQWjDwWhZjC2cPXsWcXFxyM/P9xMyLl++jAMHDqBGjRqIiYkJUg2LDnS/Q5+MjAwMHDgQBQUFcLlcmDFjBtlEEQQRFJTGbzFkWE4QRNBJS0tDamoqsrOzUbNmTVqdRxBEWEBCFEEQIYHb7SbhiSCIsIJsogiCIAiCIAxAQhRBEARBEIQBSIgKImTTHxjoPhMEQRB2QEJUEChWrBgA4KLB4L+EPrj7zN13giAIgrACMiwPAi6XC2XLlsXx48cBALGxsX7hUQjzMMZw8eJFHD9+HGXLlvVzCEoQBEEQZiAhKkgkJCQAAC9IEfZRtmxZ/n4TBEEQhFWQEBUkHA4HKleujPj4eFy7di3Y1YlYihUrRhoogiAIwhZIiAoyLpeLBnmCIAiCCEPIsJwgCIIgCMIAJEQRBEEQBEEYgIQogiAIgiAIA5BNlE1wDh7Pnj0b5JoQBEEQBKEVbtzW4qiZhCibOHfuHACgWrVqQa4JQRAEQRB6OXfuHOLi4hTTOBjFxLAFr9eLI0eOoHTp0pY60jx79iyqVauG3NxclClTxrJ8Q4lIv8ZIvz4g8q+Rri/8ifRrjPTrA+y7RsYYzp07hypVqsDpVLZ6Ik2UTTidTrjdbtvyL1OmTMQ2DI5Iv8ZIvz4g8q+Rri/8ifRrjPTrA+y5RjUNFAcZlhMEQRAEQRiAhCiCIAiCIAgDkBAVZkRHR2Ps2LGIjo4OdlVsI9KvMdKvD4j8a6TrC38i/Roj/fqA0LhGMiwnCIIgCIIwAGmiCIIgCIIgDEBCFEEQBEEQhAFIiCIIgiAIgjAACVEEQRAEQRAGICHKZqpXrw6Hw+H398wzz/Bp9uzZg/vuuw9xcXEoXbo0WrZsiUOHDvHHjx49ij59+iAhIQElS5bEbbfdhq+//tqnnNOnT6NPnz6Ii4tDXFwc+vTpgzNnzvikOXToELp164aSJUuiYsWKGDp0KK5evRoW15iTk4O0tDTUqFEDJUqUwM0334yxY8f61V+qHtOnTw/565MrZ/To0T5pwvkZrlmzRrIMh8OBrVu38ulC9Rnu27cPDz74IG666SaUKVMG//nPf3Ds2DGfcoLVDgNxfcFsg4G6RrlyAtEOA3F9wWyDWq5Rrm4TJkzg87hy5QqeffZZVKxYESVLlsR9990Hj8fjU05A2yEjbOX48eMsLy+P/1u1ahUDwDIzMxljjGVnZ7Py5cuzUaNGsR07drB9+/ax77//nh07dozPo2PHjqx58+Zs8+bNbN++fezNN99kTqeT7dixg09z9913s/r167MNGzawDRs2sPr167N7772XP379+nVWv359dtddd7EdO3awVatWsSpVqrAhQ4aExTX+8MMPrF+/fmzFihVs37597P/+7/9YfHw8e/75533qAoDNmTPHpz4XL14M+etjjLGkpCT2xhtv+JR17tw5/ni4P8MrV674lJGXl8eeeuopVr16deb1evl8QvEZnj9/niUnJ7MHH3yQ7d69m+3evZvdf//9rHnz5qygoIAvJ1jtMBDXF8w2GKhrZCx47TAQ1xfMNqjlGsV1mz17NnM4HGzfvn18HoMGDWJVq1Zlq1atYjt27GB33XUXa9SoEbt+/TqfJpDtkISoADNs2DB288038y9sr1692GOPPaZ4TsmSJdmnn37qs698+fJs1qxZjDHG/vzzTwaAbdq0iT++ceNGBoD99ddfjDHGli1bxpxOJzt8+DCf5ssvv2TR0dEsPz/fkmvjsOMapXjvvfdYjRo1fPYBYN98842ximvErutLSkpikyZNks0j0p7h1atXWXx8PHvjjTd89ofiM1yxYgVzOp0+9/nUqVMMAFu1ahVjLLTaoR3XJ0Ww2iBj9l1jqLTDQDzDYLZBxvyvUcz999/P2rdvz2+fOXOGFStWjH311Vf8vsOHDzOn08mWL1/OGAt8O6TpvABy9epVzJ8/H08++SQcDge8Xi+WLl2K2rVrIzU1FfHx8WjRogWWLFnic94dd9yBBQsW4NSpU/B6vfjqq69w5coVtGvXDgCwceNGxMXFoUWLFvw5LVu2RFxcHDZs2MCnqV+/PqpUqcKnSU1NxZUrV7B9+/aQv0Yp8vPzUb58eb/9Q4YMQcWKFdG8eXNMnz4dXq83bK7v3XffRYUKFdC4cWP897//9VEvR9oz/Pbbb3HixAn069fP71ioPcMrV67A4XD4OPWLiYmB0+nEzz//DCB02qFd1ydFMNpgIK4x2O0wUM8wWG1Q6hrFHDt2DEuXLkVaWhq/b/v27bh27Ro6d+7M76tSpQrq16/v08YC2g51iVyEKRYsWMBcLhcv/ebl5TEALDY2ln3wwQds586dbPz48czhcLA1a9bw5505c4alpqYyACwqKoqVKVOGrVy5kj/+3//+l9WqVcuvvFq1arG3336bMcZY//79WadOnfzSFC9enH3xxRchf41isrOzWZkyZdjMmTN99r/55ptsw4YNbOfOnWzixIksNjaWvfnmm2FxfR988AFbs2YN+/XXX9nMmTNZxYoVWVpaGn880p5hly5dWJcuXfz2h+IzPH78OCtTpgwbNmwYu3DhAjt//jx75plnGAA2YMAAxljotEO7rk9MsNqg3dcYCu0wUM8wWG1Q6hrFvPvuu6xcuXLs0qVL/L7PP/+cFS9e3C9tp06dgtYOSYgKIJ07d/aZlz18+DADwHr37u2Trlu3buzhhx/mt4cMGcJuv/12tnr1arZr1y42btw4FhcXx3bv3s0YK3xpateu7VdezZo12fjx4xljhS9N586d/dIUK1aMffnll5ZcH2P2XaOQw4cPs5o1a/p0bHJMnDiRlSlTxsQV+RKI6+P4+uuvGQB24sQJxlhkPcPc3FzmdDrZ119/rVqfUHmGK1asYMnJyczhcDCXy8Uee+wxdtttt7Gnn36aMRY67dCu6xMSzDbIWGCukSMY7TAQ1xfMNsiY/zWKqVOnjp+NkpwQ1bFjRzZw4EDGWODbYZQ+vRVhlIMHD2L16tVYvHgxv69ixYqIiorCLbfc4pO2Xr16vPp13759+Pjjj/H777/j1ltvBQA0atQI69evxyeffILp06cjISHBb4UJAPzzzz+oVKkSACAhIQGbN2/2OX769Glcu3aNTxPK18hx5MgR3HXXXUhJSUF6erpqnVq2bImzZ8/i2LFjpq8zENcnrjsAZGdno0KFChHzDAFgzpw5qFChAu677z7VOoXCMwSAzp07Y9++fThx4gSioqJQtmxZJCQkoEaNGgAQEu3QzuvjCGYbBAJzjeL6A4Frh4G6vmC1QUD6GoWsX78ee/fuxYIFC3z2JyQk4OrVqzh9+jTKlSvH7z9+/DhatWrFpwlkOySbqAAxZ84cxMfHo2vXrvy+4sWLo3nz5ti7d69P2r///htJSUkAgIsXLwIAnE7fR+Vyufg56pSUFOTn52PLli388c2bNyM/P59/sVJSUvD7778jLy+PT7Ny5UpER0ejadOmIX+NAHD48GG0a9cOt912G+bMmeOXXoqdO3ciJiYGZcuWNXpZPHZfn1TdAaBy5coAIuMZAgBjDHPmzMHjjz+OYsWKqdYpFJ6hkIoVK6Js2bL46aefcPz4cX4QCoV2aOf1AcFvg4D91yhVfyBw7TAQ1xfMNghIX6OQjIwMNG3aFI0aNfLZ37RpUxQrVgyrVq3i9+Xl5eH333/3aWMBbYe69FaEIQoKClhiYiJ78cUX/Y4tXryYFStWjKWnp7OsrCw2ZcoU5nK52Pr16xljhasnatasye688062efNmlp2dzSZOnMgcDgdbunQpn8/dd9/NGjZsyDZu3Mg2btzIGjRoILmks0OHDmzHjh1s9erVzO12W7I8PhDXyE0ftG/fnnk8Hp9lsBzffvstS09PZ7/99hvLzs5mM2fOZGXKlGFDhw4N+evbsGEDb+uwf/9+tmDBAlalShV233338eWE+zPkWL16NQPA/vzzT79yQvUZMsbY7Nmz2caNG1l2djb77LPPWPny5dmIESN88glmO7T7+oLdBgNxjcFuh4F4RxkLXhtUu0bGGMvPz2exsbFs2rRpkscHDRrE3G43W716NduxYwdr3769pIuDQLVDEqICwIoVKxgAtnfvXsnjGRkZrGbNmiwmJoY1atSILVmyxOf433//zbp3787i4+NZbGwsa9iwod9S8pMnT7JHH32UlS5dmpUuXZo9+uij7PTp0z5pDh48yLp27cpKlCjBypcvz4YMGcIuX74cFtc4Z84cBkDyj+OHH35gjRs3ZqVKlWKxsbGsfv36bPLkyezatWshf33bt29nLVq0YHFxcSwmJobVqVOHjR07ll24cMEnn3B+hhy9e/dmrVq1kiwjlJ/hiy++yCpVqsSKFSvGatWqxd5//32/pdnBbId2X1+w22AgrjHY7TAQ7yhjwWuDjKlf44wZM1iJEiXYmTNnJI9funSJDRkyhJUvX56VKFGC3XvvvezQoUM+aQLZDh2MMaZPd0UQBEEQBEGQTRRBEARBEIQBSIgiCIIgCIIwAAlRBEEQBEEQBiAhiiAIgiAIwgAkRBEEQRAEQRiAhCiCIAiCIAgDkBBFEARBEARhABKiCIIgCIIgDEBCFEFEKHPnzoXD4YDD4UBOTk6wqxMQ2rVrx1+z8I8ILmvWrOGfxZo1ayzNW+p5t2vXztIyCEIOEqIIIsTIycmRHBj0/hEEQRD2EhXsChAEQVhNs2bNMGfOnGBXgwgAv/32G//7iSeewLZt24JYG6KoQUIUQYQYVatW9RkYxKSmpuLIkSOoUqUKVqxYIZuufv366Nevnw01DH1KliyJ+vXrB7saRAAQPueSJUsGsSZEUYSEKIIIMYoVK6YoABQrVkxTOoIgCMJeyCaKIAiCIAjCACREEUSEorY6j1vJxq1kys7OxqBBg5CcnIwSJUqgevXqSEtLw8GDB33O+/333/HEE08gOTkZMTExqFatGp5++mkcP35cU71WrVqFxx57DDVq1ECJEiVQpkwZNGrUCC+88ALy8vLMXrYutm/fjrS0NNSuXRslS5bkr6dp06Z45pln8O2334IxJnu+x+PBmDFjcNttt6FcuXKIiYlBYmIievXqhczMTE11+Oeff/DGG2+gdevWiI+PR3R0NKpVq4bWrVvjjTfewN69e2XPzcnJwfDhw3HrrbeidOnSiI2NRa1atTBw4EDFKWHg31Vt48aNAwBs3boVvXv3htvtRnR0NKpWrYo+ffpgz549qtdw6dIl/Pe//0WjRo1QsmRJVKhQAa1bt8bMmTPh9Xo13Qezz4IgggIjCCKsSEpKYgBYUlKSYro5c+YwAAwAO3DggN/xtm3bMgCsbdu2bNWqVax06dJ8euFffHw827NnD2OMsS+++IJFR0dLpktKSmKHDx+Wrc/58+fZgw8+KHku91eqVCn23XffGb43wmtS44MPPmBOp1OxPgDYuXPnJM+fNWsWK1GihOK5aWlp7Nq1a7J1mD9/PitZsqRiHnLPed68ebLPAgBzuVzs7bffli2bSzd27Fg2ZcoUFhUVJZlPbGwsW7t2rWw+hw8fZnXr1pWtx913381WrFjBb2dmZlr+LDj0PH+CsAISoggizLBaiKpVqxYrV64cq1atGpsyZQrbvHkzW79+PXvuueeYw+FgAFjr1q3Zli1bWFRUFKtXrx6bNWsW27JlC8vMzGR9+vThy+nVq5dkXa5fv87uuusuBoA5HA7Wu3dv9r///Y9t27aNbdy4kX344YcsMTGRAWDFixdn27ZtM3RvtA6iv/76Kz9o16hRg73//vvsxx9/ZDt37mTr169ns2fPZn369GGlSpWSHLgzMjL4a65fvz6bMmUK+/nnn9mOHTvYokWL2D333MMfHzFihGQd5s2bx6eJiYlhzz77LFu2bBnbsWMHW7duHfv4449ZamoqS05O9jv3+++/559NqVKl2NixY9n69evZxo0b2fvvv88qVqzI5z116lTJ8rnjLVu2ZA6HgzVq1IjNnj2bbd26la1bt44NHz6cv0eJiYnsypUrfnlcu3aNNWnShM+rc+fO7JtvvmHbtm1jixcvZh07dmQAWPPmzWWFKLPPQggJUUSgISGKIMIMq4UoTpA6fvy4X5pRo0bxaW666SbWunVrduHCBb90PXv2ZABYVFSUZD4TJ05kAFixYsXYsmXLJOt76tQpduuttzIA7I477lC8Njm0DqKvvvoqA8BKlizJjh49KpvuzJkzrKCgwGffoUOHWGxsLAPA+vbtK6tpeumllxgA5nQ62d69e32OHT58mM8jPj6e/fbbb7J1yM3N9dm+evUqq1q1Ki9A7dy50++cnJwcVrlyZV6T9M8///ilEWp47rnnHkkh6a233uLTLF682O/4Rx99xB8fMGCAZP2ffPJJn7LEQpSZZyGGhCgi0JBNFEEQ+Oijj3DTTTf57R88eDD/+8SJE5g5cyZiY2P90j399NMAgOvXr2Pjxo0+x65du4b3338fADBkyBB06dJFsg7lypXDhAkTAAA///wzsrOzjV2MBo4ePQoAqF27NipVqiSbLi4uDk6nbzf54Ycf4uLFi6hSpQqmT5+OqCjpRc6vv/46qlatCq/Xi08//dTn2JQpU3Dx4kUAwIwZMxRXWbrdbp/tb775BocPHwYAvPzyy2jcuLHfOUlJSfy9vHjxoqLPrJiYGMyZMwfFixf3OzZ06FB+//r16/2OT5s2DQBQqVIlTJo0STL/Dz/8UPLd4jDzLAgi2NAbSRBFnLJlyyI1NVXyWPXq1VGmTBkAQMOGDVGvXj3JdI0aNeJ/79+/3+fYli1beIPx//znP4p1adOmDf9bLIxZSeXKlQEAf/75J7Zs2aLr3P/7v/8DAHTr1g0xMTGy6aKiopCSkgLA/1qWLl0KAKhRowbuv/9+XeWvXr0aQKFh+JNPPimbrmfPnoiLi/M5R4pOnTohPj5e8ljp0qVRq1YtAP7P9ciRI7zR+X/+8x9J4RoASpUqpfjczTwLggg2JEQRRBGnVq1aimFiuIG4du3asmnKli3L/z537pzPMaEH6ZSUFMVQNaVKleLTchoKO+jduzeKFSuGK1euoHXr1ujWrRumT5+OP/74Q3EFWH5+Pq8hmzFjhmrona+//trvWq5du4bff/8dAHDnnXfqDtHDnVu9enVZ4QcAihcvjiZNmvicI0XdunUVyytfvjwA/+cqXP3XvHlzxTxuv/122WNGnwVBhAIkRBFEEUdOg8DBTaEopRNOsxQUFPgc0+r6QAw33WUHdevWxZdffoly5crh+vXr+P777/H000+jfv36iI+PR58+fSSnr6y4llOnTvHCAaeF0cOpU6cAQHHqiyMhIcHnHCm0Pn/xcz19+jT/W0mYA5TravRZEEQoQB7LCYKwFeHgu2bNGlSoUEHTeWoDs1l69OiBjh07YsGCBVixYgXWr1+Pf/75BydOnMD8+fMxf/589O3bF7Nnz5YUJJ577jmkpaVpKkvK3giAqUDRWs61U5MjzFutLmr1MPIsCCIUICGKIAhbEQpNxYsXD6lQNXFxcRgwYAAGDBgAoNAu59tvv8WUKVNw5MgRzJs3D02aNMGwYcMA+F7LxYsXDV1L+fLl4XQ64fV6ceTIEUPnA9qmO48dO+ZzjpUI8+TKkUOLBk/vsyCIUIBEeoIgbIWzywGAlStXBrEm6txyyy0YPXo0Nm3axAezXbhwIX/8pptuQtWqVQEUGmsb0fQIYx6uX79edx7cuTk5OYrCybVr17Bz506fc6ykQYMG/O+tW7cqplU7LoXasyCIUICEKIIgbOWOO+7gtRbTp0/H2bNng1wjdapVq8Yb0p84ccLn2H333QegcLUaZziul27dugEADhw4wK/200rHjh0BFE6RzZ49Wzbd119/jfz8fJ9zrKRKlSr8as3//e9/uHTpkmS6CxcumBJ+lJ4FQQQbEqIIgrCVmJgYjBw5EkDhFNTDDz+MCxcuyKY/d+4cPv74Y1vrtGTJEpw5c0b2eG5uLv766y8AhW4IhIwaNQrR0dEAgEGDBvmsPpRi2bJl2L17t8++IUOG8NqVgQMHKq6e83g8PtsPPvggqlSpAgB4++238euvv0rWn7vnsbGxeOKJJxTraBTOP9jRo0fx/PPPS6YZPny4osbMzLMgiGBDNlEEQdjOCy+8gB9//BE//vgjfvjhB9xyyy0YNGgQUlJSULZsWZw7dw579+7FmjVrsGTJEsTExGDIkCG21Wfy5Ml49NFH0bVrV7Rv3x716tVDXFwcTp8+jW3btmHKlCm8ZoUTFDhq1KiB6dOn44knnsCpU6fQunVr9OnTB/feey8SExNx/fp1eDwebNmyBV9//TX27duH7777Dg0bNuTzSEhIwLRp0/D444/j+PHjuP3229G/f3906dIFCQkJOH/+PH7//Xd8++232Lt3L/bt28efW6xYMaSnp6Nbt244d+4c7rjjDowaNQodOnRAVFQUNmzYgHfeeYcXXCZOnIiKFSvach+ffvppzJkzBzt37sS0adNw4MABDBo0CNWqVUNubi6mTp2KlStXonnz5rJTemaeBUEEnaD5SicIwhB2BCDWUl7fvn0V03FljR07VvL4xYsX2eOPP64aZBY3YqgZQes1CUPeyP2pBfD96quvWJkyZVTzcTqd7KeffpLMY+7cuapBjOWe89y5cy0LQKzlXsnd08OHD7M6derI1qNz586KAYiteBZa60oQVkOaKIIgAkKJEiUwb948DB06FBkZGVi3bh08Hg8uXLiAUqVKoXr16mjatCm6dOmCe++919a6LFy4EKtXr8aqVauwa9cuHD16FCdOnEBMTAyqV6+ONm3aYNCgQT7G02J69eqFzp07Iz09HcuXL8eff/6J06dPo1ixYkhISMCtt96Ku+66Cw899BCqVasmmUffvn3RuXNnfPLJJ1i+fDn27duHixcvIiEhAYmJiejSpQt69+4te27btm0xefJkrFy5EocOHYLX60WVKlXQvn17PPvss4r1t4oqVapg586d+OCDD/DV/7dzxzYMAjEUQJ2KVdgCJqFlNcYAalZgDGpoQ5EUFoHo9F5/0kluvnw+D0Os6xpVVUVd19F1XfR9H/M8fzx/RS3gKa99txIWKEPbtjFNUzRNE+M4Pn0dbqb+3E0nCijOtm2nYe1/2k3Ftd7r/O3DAvyCEAUUZ1mW0/OPhnu5PPPxJCsOAAASzEQBACToRAEAJAhRAAAJQhQAQIIQBQCQIEQBACQIUQAACUIUAECCEAUAkCBEAQAkCFEAAAkHcpATiTqtNxYAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_1a.plot_lc()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**The post fitted light curve complete model can be plotted using the** `LightCurve.plot_model()`"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_1a.plot_lc()\n",
"lc_1a.plot_model()\n",
"\n",
"pl.xlim(76879.8,76880.8)\n",
"pl.ylim(-0.5,1.5)\n",
"\n",
"pl.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**The** `LightCurve` **data values can be saved using** `LightCurve.to_file()`.\n",
"\n",
"If the model was correctly fitted with SORA, 4 files should be created: (i) One containing the observational light curve and its convoluted model; (ii) Containing the complete light curve model (geometric, affected by fresnel diffraction and by the star apparent diameter); and (iii and iv) with the labels for each colunm for other two files. Otherwise only 2 files will be created: the observational one and its labels."
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\u001b[0;31mSignature:\u001b[0m \u001b[0mlc_1a\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto_file\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnamefile\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mDocstring:\u001b[0m\n",
"Saves the light curve to a file.\n",
"\n",
"Parameters\n",
"----------\n",
"namefile : `str`\n",
" Filename to save the data.\n",
"\u001b[0;31mFile:\u001b[0m ~/Documentos/códigos/SORA/sora/lightcurve/core.py\n",
"\u001b[0;31mType:\u001b[0m method\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc_1a.to_file?"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"output/example_chi2.dat output/LC_test_1a.dat\toutput/model_LC_test_1a.dat\n",
"\n",
"\n",
"output/example_chi2.dat.label output/model_LC_test_1a.dat.label\n",
"output/LC_test_1a.dat.label\n"
]
}
],
"source": [
"lc_1a.to_file(namefile='output/LC_test_1a.dat')\n",
"\n",
"!ls output/*.dat\n",
"print('\\n')\n",
"!ls output/*.dat.label"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**One last thing, a common issue within the stellar occultation light curves is a time offset for a specific light curve**\n",
"\n",
"\n",
"To fit the body size and shape the user should consider the times (immersion and emersion) for all the observers. It is not unusual to have the different chords projected at the sky plane not be appropriately 'aligned'. Those shifts are often caused by instrumental issues (lack of GPS, software's features, internet protocols, among many others). To deal with this issue, the user can add a time offset (in seconds) manually at the `LightCurve` Object using the `LightCurve.dt`. Then the SORA package will automatically consider this offset to the fitted (or instantiated) parameters."
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Imersion time 2017-06-22 21:21:20.325 UTC\n",
"Imersion time 2017-06-22 21:21:50.325 UTC\n"
]
}
],
"source": [
"lc_1a.dt = 0 #seconds\n",
"\n",
"print('Imersion time {} UTC'.format(lc_1a.immersion))\n",
"\n",
"lc_1a.dt = 30 #seconds\n",
"\n",
"print('Imersion time {} UTC'.format(lc_1a.immersion))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**This Jupyter-Notebook was designed as a tutorial for how to work with the** `LightCurve` **Class. More information about the other classes, please refer to their specif Jupyter-Notebook. Any further question, please contact the core team: Altair Ramos Gomes Júnior, Bruno Eduardo Morgado, Gustavo Benedetti Rossi, and Rodrigo Carlos Boufleur.**\n",
"\n",
"**The End**"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.8.13"
}
},
"nbformat": 4,
"nbformat_minor": 4
}