{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "SQ373GlLUmAo" }, "source": [ "# Creating periodograms and identifying significant peaks" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "iTCqL18hUxya" }, "source": [ "## Learning Goals\n", "\n", "By the end of this tutorial, you will:\n", "\n", "- Understand the definition and utility of the frequency domain.\n", "- Understand the concept of a periodogram.\n", "- Be able to create a periodogram from *Kepler* data using Lightkurve.\n", "- Be able to interpret a periodogram." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "f0_oL7t-VB3x" }, "source": [ "## Introduction\n", "\n", "The [*Kepler*](https://www.nasa.gov/mission_pages/kepler/main/index.html) and [*TESS*](https://tess.mit.edu/) telescopes observe stars for long periods of time, from just under a month to four years. By doing so they observe how the brightnesses of stars change over time.\n", "\n", "Some signals that appear in these time series will form repeating patterns. In other words, they oscillate. These oscillations are better studied in frequency space, through the means of a *periodogram*. This tutorial provides an explanation of what a periodogram is, and how you can use Lightkurve's tools to study a *Kepler* observation in the frequency domain.\n", "\n", "Stars of all shapes, sizes, and ages experience changes in brightness. This variability repeats over time, forming oscillation signals that we can observe in *Kepler* data. \n", "\n", "Stellar brightness variability can have various sources. Some stars will vary in brightness due to star spots rotating in and out of view. Others pulsate, shrinking and expanding due to waves forming inside of the star. And still others may vary in brightness due to interaction with a nearby companion. By understanding the stellar variability, we can learn a lot about the conditions on, within, and around the star itself.\n", "\n", "Because stellar variablity produces oscillating signals, and *Kepler* data can span up to four years, it is often cumbersome to study these oscillations in the time domain. Instead, we can study them in the frequency domain, where signals are separated into bins of frequency, and strong repeating patterns are more readily discerned.\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "L8bDU6OgWJfN" }, "source": [ "## Imports\n", "This tutorial requires **[Lightkurve](https://docs.lightkurve.org)**, which in turn uses **[matplotlib](https://matplotlib.org/stable/index.html)** for plotting." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": {}, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:44.554302Z", "iopub.status.busy": "2023-11-03T14:26:44.553918Z", "iopub.status.idle": "2023-11-03T14:26:45.815755Z", "shell.execute_reply": "2023-11-03T14:26:45.815287Z" }, "id": "TRtQcR3rYy0E" }, "outputs": [], "source": [ "import lightkurve as lk\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "d2krG6SjWhhf" }, "source": [ "## 1. The Frequency Domain" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "XZk7jSIj_XBP" }, "source": [ "To understand the frequency domain, we must first understand a little about the concept of a [Fourier Transform (FT)](https://en.wikipedia.org/wiki/Fourier_transform), the mathematical transformation we can use to translate time-domain data into the frequency domain.\n", "\n", "If we have a function of time $x(t)$, such as the brightness of a star, the FT of this function, $X(\\nu)$, is given as \n", "\n", "$$X(\\nu) = \\int^{+\\infty}_{-\\infty}x(t)e^{-2\\pi i\\nu t}\\rm{d}t\\, ,$$\n", "\n", "where $t$ is time, $i$ is the imaginary unit, and $\\nu$ is frequency. This equation looks like a bit of a handful, so let's try to break it down:\n", "\n", "A Fourier Transform...\n", "\n", "- for a frequency $\\nu$,\n", "- $e^{-2\\pi i \\nu t}$: takes a cosine and a sine of that frequency*, and\n", "- $x(t) e^{-2\\pi i \\nu t}$: multiplies it with the function at time $t$, and\n", "- $\\int^{+\\infty}_{-\\infty} x(t) e^{-2\\pi i \\nu t} \\rm{d}t$ : integrates over the full range of time:\n", "- The result of this is the value of the Fourier Transform at that frequency: $X(\\nu)$. \n", "\n", "*through [Euler's formula](https://en.wikipedia.org/wiki/Euler%27s_formula)." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "mD9AlXra_XKD" }, "source": [ "For example, if you had a function that was a sine wave with a frequency of $5\\, \\rm Hz$, $X(5\\, \\rm Hz)$ would be large. But if you had a sine wave with a vastly different frequency (like $100\\, \\rm Hz$), $X(5\\, \\rm Hz)$ would be small. And $X(100\\, \\rm Hz)$ would be large!\n", "\n", "In short, the FT of a function shows us the frequencies of periodic signals. This is incredibly useful when studying stars, which exhibit all kinds of variability due to rotation, activity, granulation, and sound waves under their surface. A FT lets us extract the oscillation frequencies of these events more clearly." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "jKDel3pv8ATf" }, "source": [ "## 2. Creating a Periodogram from *Kepler* Data" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "pL3WbBu__X4U" }, "source": [ "If we want to study *Kepler* data in the frequency domain, there are a couple of approximations we need to make. Mainly, we need to account for the fact that our data is *not* a continuous function, but a discrete set of observations. The required operation to convert a discrete function to the frequency domain is called a Discrete Fourier Transform (DFT).\n", "\n", "One of the methods people use to estimate the DFT of a light curve is the *Lomb-Scargle periodogram*. Without delving into the details here, a periodogram is an estimation of what the FT of the data would look like were it a continuous function. You can find a thorough explanation of both the Fourier Transform as well as the Lomb-Scargle periodogram in [Vanderplas (2017)](https://arxiv.org/pdf/1703.09824.pdf).\n", "\n", "Lightkurve's built-in functions use the [Astropy Lomb-Scargle](https://docs.astropy.org/en/stable/timeseries/lombscargle.html) implementation. Let's use it below to have a look at a periodogram of an eclipsing binary star, KIC 10264202." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 387 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:45.818004Z", "iopub.status.busy": "2023-11-03T14:26:45.817847Z", "iopub.status.idle": "2023-11-03T14:26:46.767676Z", "shell.execute_reply": "2023-11-03T14:26:46.767323Z" }, "executionInfo": { "elapsed": 3562, "status": "ok", "timestamp": 1599617686029, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "wDcWJTOX_X-y", "outputId": "6c638765-3f36-4274-ce92-8fee97c5dc8d" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc = lk.search_lightcurve('KIC 10264202', author=\"Kepler\", quarter=10).download()\n", "lc.plot();" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "BIfzwTMi_YE8" }, "source": [ " An eclipsing binary is a pair of stars which orbit one another in such a way that they periodically eclipse each other with respect to us, the observers. The eclipse produces a repeating pattern of two \"dips\" per orbit, creating a rich pattern of ups and downs in the light curve. These stars [show up frequently](https://iopscience.iop.org/article/10.3847/0004-6256/151/3/68) in *Kepler* observations. From looking at this light curve, we might expect two strong peaks in the periodogram, namely:\n", "- at the frequency of the very long period (low frequency), variability visible with peaks around $7100\\, e^-s^{-1}$\n", "- at the frequency of the very short period (high frequency), spikes are visible peaking near $7200\\, e^-s^{-1}$\n", "\n", "The \"spikes\" here are the eclipsing binary pair components transiting in front of one another, and it is this signal that we should expect to have the largest peak in the periodogram, because it has the largest amplitude in the time domain." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "iAUW3JL9_YKW" }, "source": [ "We can create a periodogram of this light curve using the [to_periodogram()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.to_periodogram.html?highlight=to_periodogram) function. We first normalize the flux units to parts per million (`ppm`), which gives a more intuitive impression of the relative power of these oscillations." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 34 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:46.769912Z", "iopub.status.busy": "2023-11-03T14:26:46.769681Z", "iopub.status.idle": "2023-11-03T14:26:46.846066Z", "shell.execute_reply": "2023-11-03T14:26:46.845768Z" }, "executionInfo": { "elapsed": 365, "status": "ok", "timestamp": 1599617786592, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "egeYKtrC_YlS", "outputId": "1d547b31-651f-4a6f-cce8-64e2c41a67ad" }, "outputs": [ { "data": { "text/plain": [ "LombScarglePeriodogram(ID: KIC 10264202)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pg = lc.normalize(unit='ppm').to_periodogram()\n", "pg" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "vW8N0Qp0gRL7" }, "source": [ "Here, the object `pg` is a [LombScarglePeriodogram](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.LombScarglePeriodogram.from_lightcurve.html). This object contains all of the properties of the [Periodogram](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.Periodogram.html) class, as well as some features unique to Lomb-Scargle periodograms, which will be discussed in the next tutorial.\n", "\n", "As with a [LightCurve](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.html#lightkurve.LightCurve) or [TargetPixelFile](https://docs.lightkurve.org/reference/targetpixelfile.html?highlight=targetpixelfil) object, we can plot the periodogram using the [plot()](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.Periodogram.plot.html?highlight=plot#lightkurve.periodogram.Periodogram.plot) function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 401 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:46.847806Z", "iopub.status.busy": "2023-11-03T14:26:46.847687Z", "iopub.status.idle": "2023-11-03T14:26:47.030564Z", "shell.execute_reply": "2023-11-03T14:26:47.030215Z" }, "executionInfo": { "elapsed": 946, "status": "ok", "timestamp": 1599617803437, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "pdsrapNlgRV8", "outputId": "42711fb7-cceb-4c62-e6d2-ce8b0f08f32e" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pg.plot();" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "VAYBCOW2b8G8" }, "source": [ "While at first glance it may look like there are lots of different signals, the repeating, evenly spaced peaks in this instance are likely *alias harmonics* of the true oscillation frequency. Harmonics are integer multiples of the oscillation frequency. They occur when a light curve is finite in duration or contains gaps, in which case it is common for a DFT to identify integer multiples as additional candidate signals. For example, an eclipse with a period of 10 days can easily be mistaken for an eclipse with a period of 20 days, in particular when the data contains gaps near the transit times. The [Vanderplas (2017)](https://arxiv.org/pdf/1703.09824.pdf) paper provides a detailed explanation of this phenomenon.\n", "\n", "Repeating harmonic peaks and aliasing is a common issue in frequency-domain analysis, particularly when the time-domain signal isn't exactly shaped like a sine wave, as is the case here. All of the harmonic peaks are of the same origin — the period of the star — but only one of them represents the truth. In what follows below, we will demonstrate a trial and error method to identify the true peak." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "GxkBR8-u9BMi" }, "source": [ "**Note**: As we will see below, the frequencies on display here correspond to the short period (high frequency) \"spikes\" we identified in the time domain. The long period (low frequency) oscillation we identified is at much lower frequencies. We can see this more clearly if we plot the x-axis in log space." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 404 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:47.032685Z", "iopub.status.busy": "2023-11-03T14:26:47.032534Z", "iopub.status.idle": "2023-11-03T14:26:47.295044Z", "shell.execute_reply": "2023-11-03T14:26:47.294466Z" }, "executionInfo": { "elapsed": 1300, "status": "ok", "timestamp": 1599618114448, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "BKZQJQIU8_3F", "outputId": "56041e64-7fb3-4263-b84b-51bd44eccead" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pg.plot(scale='log');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "B8lLLdNT-MH6" }, "source": [ "The low-frequency peak can be seen around $0.09$ cycles per day." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "xnTYmB3m8D9A" }, "source": [ "## 3. Using a *Kepler* Periodogram to Identify a Significant Period" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "2LXNoLWa_Y_J" }, "source": [ "We now have a decent grasp on how the periodogram represents the repeating signals in the light curve of our eclipsing binary target. If we wanted to measure what the binary pair's orbital period is, our first port of call would be to look at the period of the highest peak. A [Periodogram](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.Periodogram.html?highlight=periodogram#lightkurve.periodogram.Periodogram) object will store a number of details about the periodogram, which can be accessed through the [show_properties()](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.Periodogram.show_properties.html?highlight=show_properties) method." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 289 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:47.297087Z", "iopub.status.busy": "2023-11-03T14:26:47.296858Z", "iopub.status.idle": "2023-11-03T14:26:47.301391Z", "shell.execute_reply": "2023-11-03T14:26:47.301112Z" }, "executionInfo": { "elapsed": 450, "status": "ok", "timestamp": 1599618170163, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "IbCMZxCS_ZGL", "outputId": "948968bc-5f86-46c2-958d-67ad3c140a02" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lightkurve.Periodogram properties:\n", " Attribute Description Units\n", "---------------------- -------------- -----\n", " nterms 1 \n", " targetid 10264202 \n", " default_view frequency \n", " label KIC 10264202 \n", " ls_method fast \n", "frequency_at_max_power 1.9314 1 / d\n", " max_power 18774.4969 ppm\n", " nyquist 24.4695 1 / d\n", " period_at_max_power 0.5177 d\n", " frequency array (11427,) 1 / d\n", " period array (11427,) d\n", " power array (11427,) ppm\n", " meta \n" ] } ], "source": [ "pg.show_properties()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "J11pLEa2_ZMT" }, "source": [ "Besides the `frequency` and `power` arrays we've seen plotted, there's also some other important information here. The `period` array is the inverse of the `frequency` array and the `ls_method` specifies the [Astropy Lomb-Scargle](https://docs.astropy.org/en/stable/timeseries/lombscargle.html) method used ([see more on periodogram algorithms here](https://docs.astropy.org/en/stable/timeseries/lombscargle.html#periodogram-algorithms)). The `nyquist` parameter is maximum oscillation frequency that can be reliably determined from a time series signal. It is defined as $\\nu_{\\rm nyq} = \\frac{1}{2\\Delta t}$ where $\\Delta t$ is the observing cadence, and its use will be explored in the companion tutorials.\n", "\n", "The information we're particularly interested in here is the [period_at_max_power](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.Periodogram.period_at_max_power.html?highlight=period_at_max_power), which is the period corresponding to the highest peak. Let's extract this value, and then use the [fold()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.fold.html?highlight=fold) function to see if it causes the eclipsing binary transits to align." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 37 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:47.303227Z", "iopub.status.busy": "2023-11-03T14:26:47.303087Z", "iopub.status.idle": "2023-11-03T14:26:47.305822Z", "shell.execute_reply": "2023-11-03T14:26:47.305494Z" }, "executionInfo": { "elapsed": 485, "status": "ok", "timestamp": 1599618274115, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "yvuGBrm0_ZS9", "outputId": "e7c2b71d-5345-4c72-906c-87bdbc2f0d06" }, "outputs": [ { "data": { "text/latex": [ "$0.51774916 \\; \\mathrm{d}$" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "period = pg.period_at_max_power\n", "period" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 387 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:47.307474Z", "iopub.status.busy": "2023-11-03T14:26:47.307350Z", "iopub.status.idle": "2023-11-03T14:26:47.491942Z", "shell.execute_reply": "2023-11-03T14:26:47.491566Z" }, "executionInfo": { "elapsed": 1355, "status": "ok", "timestamp": 1599618279765, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "QqqUWgbE_ZaK", "outputId": "acde41ef-9190-4686-c44b-51f5ee7f1beb" }, "outputs": [ { "data": { "image/png": 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9N3v2bPT39+OTn/ykUe7Tn/40fvGLX+BLX/oSKioqsHr1amzcuBFDQ0MRW4979+7Fs88+i6uvvhqf//zncf7556OhoQGzZs0ybb/EWy5TkA8jNzcXbrcb/f39poGio6MDLpfLEOxlK622tjbChMXr9Rofb05OjlGnx+NBb28vABj1h8NhW7MeK0daGVRVDYJoe+zMa9SsfKqJj2w5qw5WqvlPIBDA1q1bIxJupJq8ItFt8/EK+4GMBxJ5j1WzRsCc5Ec1ZVTHKSuzRNWxUg+haGUWKddSHWfFwVTMQ2TRoY6DVmNqbW0tnE4nwuGwYUYSDAaNMdntdiMnJwcHDhwwAhr4/s9BU8wl8vPzEQgEUFhYCKfTCYfDAWDYHEXuQQQwdUGQk5ODmpoa7Ny505if1J3wadOmobq6Gu3t7YbpiQiDEtJRNRkSQV3mot27d6O3txd+vx9dXV0AgAMHDpj6WjTRRUVFWLhwoXFtcTqtrq5Ga2srZs2aZbS/r6/PVFZMW2RHQd0FkTlJTFpCoRA2bNhgyqwqzquLFi0y6pJ5Vuzow+GwIYRGMw/Rs+quWbMGRUVFWLNmjVFG2iXPBBieH8VBV5SmquCuLj5EsFbfA7fbjdzcXJNDdG1trXF+R0cHtm7dilAohD179qC1tRXr1q0zmQXJgmbjxo2G2ZPqRyDvbV9fn2GCpN6DalqzZs0aw5xIFexramrQ3d2NUChkPC+5hm6upn5Tu3fvts2ymylkrXBvxbZt2+BwOEw2awsXLsTkyZNN5ebMmYOTTz4Zb7/9tun3HTt2wOl04vzzzzd+y83NRXl5OTo6OvDee+8lVC5TkAG1trbWEOJVZs2aZZSZNm0agsEg+vr6ABybaJqamlBVVRWx7SrCswy4TqfTsK9TPfH17WWrdNu5ublwOBxYtGgRioqKTNoIq0lWtRn1+XymiAtiGyc2pno2Or/fb7RXNdWxi/Yg6AsKu75WJ95MZKT9DrKlHwiJht17HOv7UQVsl8uFhoYGy8gw6r+lThlj8/LyLKPLSF0AjLFI951ShSwApuykIqjcfvvtpsWIXEOi2qgRUgAYmkIRqrds2RIRLWX79u0oKCgwCUAy3+Tm5hr3sGjRIgDDgpNc4+jRo6ZxNxwOw+fzmWyz5XqyYBCCwaAxv4jWV5RFKqpmWLUbF8WW+Jlt2rQJ3d3dxnlWWWllhzoUCmH//v1Yv369afEFHJvnmpqaTO2WhZNavzzT9vZ21NXV4Z577jFs3IHhhdeMGTOgEy2mu0QckvZbRSWSPhMcDgf8fj927tyJqVOnGtfX+1KQnXH5ViRqjhoxSObY4uJiOBwOY9EAwHgG8u7J85M+EiWhy+UydnvkeasLChHKhWAwaHq3+/r6jMWu+DzIO6M+L3WBILkNJO8AMCz8S39Jtt1MZNwI94ODg9i+fTuKi4sxe/bsqGXD4TB6enpMHtUAsG/fPsydOzdiu+OMM84AALzxxhsJlcsUdKFXd5oRrYwkcZCPS3WIVbU3KiI8ywdSV1eHhoYGI6HG73//eyxdutQIYeXz+UyrXdXuNBgMYvbs2bjnnnuMLTAJnaVqNiQUZmFhYUTabuDYQqK2ttZwsFJRBX9ZQIiGo7i4OKpmS19QROvrTGakNevZ0g+ERMNK+NbD5AEwxghVS2uVTCfaokDfYc3NzTUUE1YhLVUnS1HGqLHLdSFL2iEaU1WIUdsGwNCgq6EaOzs7I+zNOzs7DY2noM4xouwRIU+u093djfXr12PTpk0mJ83CwkLjGvn5+SbFTHt7u+GEKguPoqIiY8dA7k+uPWvWLBQVFaGiosLkzAnACHEJwBC4p02bZnIqFm2x7ERI38tiSkddfNXU1JgUYcFgEO3t7YZ2Wrf/lvrV0JHyngEw5ht9YeNwOFBXVwcAxs6z3W62rphSn7f6DOR5yXUFt9tt7CYsWrTI6Bt5pqrjsvSRPD95tzs6OpCXl2e8exIyU9qjLgAmTZqE/Px8k4wh34VYC8jO2Lp164yFj/qs9V0Fp9OJDz74wBRSVeQi/R4rKiqMb0/th6GhIeN8dQGYaeTELpIdvPjii+jt7TWZ5NjxzDPP4NChQ7jiiitMv3d3d2P69OkR5eW3Q4cOJVTOjkAgELONADB58uSIXYdkUTXn5eXlEbbtotURYWzjxo3GBKDa1+Xm5mLFihXYsmULgGFtjpyjhu0SEx35iIPBoLE9+Pbbb2P37t1YtGiR8fHIFtrBgwdRVlYG4NjAIgOjCPzye0dHh2UoTHXitRMu9UQUouHo7u6OcPRRt7WlDQMDA8aAnIwAO9Y26aJJoWadkNio9sQi2InQIRFIgGO25iJ06E6v+tikjgPqN6mX0xcTerg/Vat60kknobu7G21tbRF+RwAMW/qcnBy4XC4MDAyYxlyfYpsPwHDsFNvogYEBk1nnwMCAafdU7lf6qaSkxGSXLPfS2NgI4Ni84fP5sGfPHlO/q8oHNdqPCGtdXV0Ih8MoKCgw/BJkzunq6jLmBzunTbEFF9S+7+rqMtnDq4I2cGxR4HA4jIULANP7IKiLD91GX0xsfD6fyRRq48aNRpIm1dxU9V+QKDBSn+qI3NjYiLq6OuM89ZmqfgM+ny9CESO27LrduZiwdHd3o7W11ehX6Ru1LQDQ1NQE3//ZtXd2dpo08sDwu6gqyqTfxexqxowZJt8OaXNubq4p0ZcsfOQ9kfdT3VWQ91EV1GVHQ5Ur9u/fj/LycrS3t5sWWGqb1XozlXEj3G/btg05OTlYvnx51HJvv/02fvzjH6O4uNgY0ISBgQFLYVoepJp0IZ5ydlxzzTVRjwuXXXYZLr/88rjKxkJeXnnBJbV1RUWFKYoDMDzYSnlxWBIGBgZQUlKCkpISwwlHF3BlABJNeEdHh+FU09LSgqlTpwI4tuoVrT1wTKMitpvi/CMDlPphFhcXGxoW9R6ipbRWJ2lV+Jf6RWujTraBQMCYjOrq6iIGtWSE81gLkJEW/tVJmJCJjl2+D1XwFM0fcEzYAWAS5NRxqqioKCJLpgggHo8H55xzjiGIer3eCIWDtKG+vt4QTD0ejzH2DgwMICcnB0NDQ4ZzJTCs9JDxXcZuMWOorq42HBTVTKgi5OqOg8CwIkQPrKBGjenv7zdpt6X9IoiJEC/35PF4DCF048aNJqFLdRzt7+83lCuqA6v0Q1dXlykGvswF4jwpGmHRzKoR3iSizODgIHp7e40Fj7RPBFF9ISfPSuqxyoaqvg8SJQcYFrZV51IRgvPy8oy49hKBRsrpqAtAWcyokX/EKbS3t9eY49RAF/qC0M6kR32HdUWQOk+qCbD0+Vneu87OTuP9FZ8+cSjOzc1Fbm6uYeMvz052N9RkZfINOhwO0wJC3pNAIACXyxURuUneAZlz8/Pz0d/fj7y8PMt79/v9xjNU3wdgeJG2YsWKtAfiGAnGhVnOBx98gD/96U8oKSmJMLVRef/993HrrbfC5XJh/fr1mDRpkul4bm4ujh49GnGempAjkXJ23H333XjwwQdj/nfppZdGv/EEUBcmgtiyWa3aARhbdGqfqpOEy+UyZe+TbT4xoRG7wV27dmHNmjWmyAh2258qan/rdvTr16/H/v37Tc5QjY2NaGpqMgYYqw9PnaRV0xsApq1fmZB0UyWJjauaCUmfxWPDrveR3cpf1xbFy2jF8GeuADKeULXJYr8u357uGAvAMAtQBVfZxtedGNX6Zbxtb2+PMItRnftVAU41Y2xvbzfGXnEgnDZtmmGWAxzT4qtKmfz8fBw8eBBLlixBW1sbPB5PRLzz3t5ew0yhtrbWGGvF1l13vJV5QRYHqgZWxllpj8/nM/p1586dqKurM3aEVcfFNWvWoKKiAk6nEwsXLozITCt1yU5rR0eHYUIkdctcEwwGjblJ7kmymLa2tmLNmjWG/0B/f78xHos2V13ISWz6trY2tLa2orW1FSUlJRHZStXxOj8/35hjxf6/v7/f6Dcxf1Gz0DY0NBjzpcyJIrzKvCtl6+vrceDAAeTk5BgmpiUlJXC5XIbf24EDB/DBBx8AGJ5HxUxL3uHy8nI0NTVhyZIlpozvhYWFxv+tfERUEylVMSZtzsnJgcPhMClBZacjGAwaJlC1tbXGzs+2bdsM+UR8NXbu3Gm8e2JiNG3aNMNHQjcjkja1trYiNzcXfr8fGzduNM4Xsx7xDwGGd3VKS0uNtqtmT6I4lPdz+/btJhkhk+e/cSHcP/fccxFRcnSOHDmCm2++GUeOHMEtt9yCE044IaJMYWEh3n///Yjf5Tc5J95ydrhcrrj+S5dJDhC54JBVvFXSEnUF3t7ebhrIARgaGpm8ZMDVJzDAnG5bdQ6SQVT9GLdv324c7+/vNz50SaShDtAqeXl5hvAt2o6BgQHL6DoySYutvSpEy3E1QYVMtKqTlDjeqit3NVJGtMg7eh9Z5RCIR/i3Q4/YodaZzoEo2cUHIZlIjeKICcD07cl4KIED1H+LomD9+vWG6YnuxCj1S4Sw+vp6Y5yRa8kYK8JiZ2cnNm7ciLKyMiMyi2qbLcIXMDzWSWI/HbGPloVAOBxGS0uLacEgSXnkGHAsKkxra6sxTqtJp+S4Oi+oWmC5X9VmWqW6uhrTpk0DMCz0lZaWGsek//bv349AIICBgQGTLbTH4zE9L5/PZ1Je6QsLEcL0MUsdu1auXGnMWeocIRFjgsFgRHQUeS9UBZcIoOvXrzci09T8nymsLFjEsdNqngSO7fKUlpZiYGDAFPhBHctbWloQDocRCoUM3zK5x61btxpRggYHB00+D/r7LOXUe+vo6DD9X0fuUzVjknm8oKDAeNemTJliLBJFKHc6nabnrZoi6UE1AETMM6WlpSafEnEw131LBIn2oyokZW6XhFk7d+40ZBA1ao8sXvSkneq7l6mMC+H+mWeewZQpU7B06VLL4wMDA/j+97+Pd955BzfddBNOPvlky3Lz58/HO++8E2ET//rrrxvHEymXSciLL6vZgoIC1NbWRkSHEW2AxKiVQV0V8MW8R3WkkgFXdd7ZsGGD4RwEIOLj0j8aaacaik0mnaamJpNjrrpdumbNGsPLXpDtQInyIwOmDGqqOY4ePlMWCx6PJ0IYl0HJ7sMeGBgwBgzZUfB6vYYjU7wae1X4t3KmSyRkp5UgnqrAb/XsqM0nmUa070V9X9UoMRLdQxz6JfiCmOrpYSxVh0Y7J0bV9EQyu4pw39XVhba2NkPo6+3tNWm1VVtxGTtVoSs3N9fQ+FZUVBiRQ0RA1QW03NxcFBcXG06Dra2thoNqeXl5RJ/JmAVEClqqhl+NbqbuLvT29sLr9RpCmewEqEKaLCDUeUHuVyKyib237F7I86qpqTHt8sr5sgMgY7U+ZskOiySSAsyCL3AsPHN+fn5EVnRZwIgySN3tFS23zCvAsIPv/v37I8xhrBYdokCSslbKKKtM7SJ4qjsyYn6iz3nikCpadqlHjVw3a9YsLF261NDq6zvdalZYfWEnPieySBQZpK6uzvS85d0TkywJqiHzrdVcLLtm6m6D7vyu4vf7I+Zf3/+ZDwNmZaD6bsl1pf/EF0GcehNVvo0mWS/cHz58GO3t7TjnnHMizDqAYc/mxsZGdHR0YP369VFDFy1btgyhUAibN282fjt69CieeuopLFiwADNnzkyoXCYhL758LIWFhaaEFKIREm1Af3+/yfFFBmthYGDAcJoFjm0Xy6S4ceNG45haj7plbRVRRQ2HFQ6Hje27/v5+Y1tTHfhFUFfPUxEh3+v1GimuPR6PadKVD1cGKYnPK7GS1YFL3bLVFyXSLjXElx4SLRmNvTqg28XA1tuhOnhZCeL6jkWiCwarZ0dtPsk0VEHJKpSuqpEGjgksIuRJ/GwZ+9SJ3uo6YjohwoOYCaqmJ2o4QBEM1bCNMu6J4CiokbzKy8uNKDHqt15SUoLZs2fjU5/6lNFmEQIrKipQVFSEYDCI7u5uQ8iqr69He3u74UQoY4z0mYxZeoz8srIyQ3FTWlpqjCWCKmhKaEXdpMNKQJSxpba21hRSWR/H1LCeJ510UsS4V1JSYloA6GOW3Q6LKvyJcL1mzRrs2rULJSUlEbsXoum1Uvjo75+8A+pCyEo4VkNqqotHdX6QBZ3qrKzukMt/YkoLmH1LZBdqxowZeP75500LHBGyxTdCtPqxxvhoker0qH36fag7HYL6jNRz5HvZsmWLbeQpdQENHFtYq/O99FFubq7pvnTzI3XhJeOClMtUsjZDrbBp0yb85Cc/wS233IKzzjor4vjPfvYzPPbYY1i6dKmls+15551n+nvDhg147rnncNFFF+HEE09Ea2sr9u7dix/84AdYvHhxwuVUxipDrYqe5VBNwywrVdWhRzLhyaApGig1YoLqZHLw4EGTLak4FOlZat1ut5GpTz0u1NfXG1kIXS4XTjrpJOzZswd5eXlYs2YNHnvsMezevRuTJ0/GN77xDZNDk0QZENR7BGDKlCh/C+KMIw47ktlPiOV4pzqaqQkz1Mx26n3IeVbp4XVnPFk4iXOUOGHZDTDRnHLVYzJg22W+jNe5d6wjAMVLtrSTpI7qyKo63au/iROfmpFbwhKKQ/+KFStMmUtVp0DRnqpOduo4IFRUVKCkpMSUDEiNetLe3m7KlimOs3ZjkX6PVt+ytDU3NzcieY+UFeQcGQ/1wBBShzhyRjsXOJYZV8ZjNcOsJIsqKSmJ+i3qGVZ1li5dasxjemQcq7E01ruhRjCyymCutyda2WjXSJRY/WCHPtbpWdz1vhfNNDD8/CQbsMxXQOScp9YJRGZcToZo323N/zkei9Or/g3p37g418r3atU2qzlBxgBVRlHlC3W8GC0SkSGzXrj/5je/iQMHDsDn80U4yALAt771Lbz66qu25z/++OOmvwcGBnDvvffimWeeQV9fH+bNm4crr7wyYuEQbzmVsRLurQRSu49GP26XrlydvNSPWmX9+vURA518LKKxAsxpx61CXurXKCoqMoX80gdxq4FBFgMAjAgTsvUtkRIA+0kqnolHHRgBWKYGl8lIbzeAiIlcFlpqiut4BXZ9II820MaagORZqzG8k11UZAKJ9kum3gdJDv35273fIvzajW8q0cZHQTVrBCIVH3rb1CgnYnZiFaHFSmCTsUMNkWm1aFd3b9VFgL5I0OuQsS4QCGBoaAgLFy7E/v37TVFM1LJyHbUvnU4nnE4nBgcHkZ+fbzg4qsT6Buvr623HSOk/fQzWURVeaujLeITAaGNJPOOHXsbunHSNRbGUU1b3E2u8jCVfpGsxY7ewUp+zlXLKqp3xtEldwKp1juW8MKGE+2xirIT7RD5OdVCX7UC7wUYPLQYM36M+WOsfoR3qx6mWlUlX1fgAMDQK4kdgtYK3Eqp11NBYsgOhTo52/Sa7C6LVkL6TiVIWDKrQUFhYaGju9Xbrk5FMiKKVkj6XuNX6RG83+MU7CNmVV4Uf2fGINmHqk2U0rZndDsVIDprxXidZbVmi1yGjSzSBSh3/JIyvqmEWTaA6jlm95+q3qo4DAAxzATVeuZViQsJUyu6pnlBIVwwAxxQR6vUHBwcxNDRkuUOqj81WGmk1rKCqvQestbbqbq/Vtw3AtHsBDC90nn/++dQerIa+qLD7hvVyVhptvXw0AVmIZ/zQy8TSrKcTq/ala1weibEz1sInkQWFvkNh95zVMoD9sx4tKNxnKJmguY+lga6pqYlrQIx2vj5xSn2qKY7Y86nxfBctWoT9+/cDOKahkg82mrAdzwpeNDyiKRLUiVOdMNVJXt9y1+8bODZxq5ormcDFOVltk7qLIQsBqUO0YdJHEstZzAd0pN9jDUT6YiTeychuYo62WLQqYyVEJaIhGmn0+7Qb/GN9T3YCExld4tWKqmXj0XhLeT3euQjCgPkbjGYSZKdd1s1exHZYzIDEzFBXDOhCotvtNmLEW42HovGOR4Cz2yGItgMc6xvRzZDSveAfCZPCeAXwVDX3VmNkOhlJ5cNoKDZSuYaVVj6ZXY3RhsJ9hpIJNvdW2A0w8ayErezSVGJteUbbslXL29mQ2mnLVBtTVUjTzX1ka1yfaIuLi2017Go/6WY40j5BttPVCRyApd2tOqAL69evj/hNRexYpYzUpdoRy66BmtTGzrY/ljZDyiU6aanvgt2kaLXFHo1kB3e782IJRHo5u0E+XptfMrJE04qqpiW6Pa6q4Ihl0gFYm+DoZoR2QqBqw6uORVZKDV1bry4g7XYA7BYPspMpJpGJaqmtxnH1/qRPVJOiaGOK1fOy+y2R734kdghHSwDnzl90ErFIsFp46XNdLN+BTHgeiciQWR8th6Qf3VNcjW+s4/P5jDi5amhMwDqufE1NZMQDiebg8XgiYudLeYkcMG3atIiEKWq7JfwaACNqj0Sr8Pl8RsQHCRkn7daTVXV0dBjJWQAYpkKdnZ24/fbbjegaapgviQxRUFBg2pFQQ4BVVw9H4hDBfvLkyUZ4zba2tojwqk1NTaaY2MCwY55EhpKFhPQzMDwoqRGKZAJSFx0S5lTtQ+k/NW6z/jzlvmVia262Ds8p75A6oQYCASOTJQDTccA6eoUdsii0itzQ3NxshB61e2etzqupqTEyR0bL3qi+w3Lvaj9IRIva2lrLyEhkdNDHGv1vn+9Y5As1lnh19bFQeHqYS/V5WyGJdWpqjoXKlIgu6lgq3wpw7BuWWONqJJmGhgZTiE49mZAaolgVOtTjVvchY25eXh46OyMT8sh9qgm91G/aqi+tvqn+/n7T+JvI87L7ze5aVliVTeR8K6L1QzrRx1BiJlbfR3vO1dXH8jhI/6r1WdWtPo9Y40AmQM39KJKpmvtY5hjRzAuieY/Hq8G0WjFbmcNYaeb1rUzArNECYGsDqrdbrV9FrrVhw4aItluZEtXUHHMIFs267oGvOvDOmjXLtDuhpiaXBYi6La/6JKh28HrUHytTAV3Db6VJtDO7sXL2y8nJMcycVDti9T1Q61TvMVpUIHmOdlqXaJpV3VxKj2gQTQNj5y8QS9sfr6aWZA7qt6hG/NJ3LKNp9GL5wQDmd0rMaVTTQdXcrqKiIiG74Vjjs4qdFtzqe0909yna7q86/sT7LUQbC8Zac0/Sw0g/h5Gsf6xMdKi5JwlhtwIWzQQA24QN1dXVWLdunaFZsqoXiEx+Ynd9+bea6EK0XSIwFxQUGAKbql3yer3Gx1xaWmrEgZZMdlJePnrR1umZ+8QJTiZs0Trl5OREtH337t2GZkrduVA1+XLf9fX12LBhg8luvry8PGJ3ora2FuvWrYPb7UZeXp4hNEvMf7k/yfQnuQMkjTdwLLOexDKW+yssLDTOs9IKqVpL/XlbvSeq/4K6M6AiOxWyYJPFS7R3QtW6iJbk6quvNhKZWQn2quZc3enQsdLA6Al79AVDNG2/lbZHykfb9SIjQzStmnqsuroaBQUFAICCggLs3LkTnZ2ROSSiafRkzJAxSY+LLee73W5MnTrVSNwk33pNzbEETG6328i2CcTeLZB3rLe3N66EOnbaSKvvXcrGu/uka5nl74aGhggNaTyo35v+7SWi0bYqO1E04qlql0daO53qDkosoj3nVO9tJHds0gWFexL1I5DJS83qGu/5+taw/iGoZh76drO65QkcC0NntRUsk5uU8/l8aG9vRzgcNmnh1cFEXUS0tbVh6dKlKCwsRFFRkZHoLBQKoa+vzzAZUlfKkrFw0aJFhtAv2SSbmprg8/lMEzgAIy4vMDyRS8p6uVfdMQ0YTsIlQr2asnvnzp0IhULYuXOnYc4CDO8E9PX1obOzExs2bIjILrl7927D9EU3KRFTFvV52CHmAHLvovkUgUAVmiV5mGpLLxuGkjxNfT4SYk8EFvld2h4MBo2FgpUA3t7ebiyO5D1T3zdVYLJL2KP6AUjma0n+ppr8qO9rtHdXnmc2bOdmC3bmV7rQoPa5fsxqkpbkc/FM3Pr5dgK0mLup5jbyrlglnosm3KrXFgVCX19fzLbGGqczSdiNtqAix4g2nqQqPI+08D2WzzXaGBEPmfjN6NAsZxTJRLOceCN/jOXWll0b9C1lEQRlsNBNNwBrUw/ducwqZKee2EU1C7ILs6mb+6h1iqOstMXKmVN3oFPvVdpo5RBs1wa1P8rLy01JeQCYnG2tEozpTnJiOqSb2qhOgGqcbAk5qkcT0p3yrMLyqQ7IkydPxtGjRy2TDvX392PhwoXo7u42OROWl5cboQVVUyYx2bIyp1DfDUHaDFhHUdGxczS0S4BCk4H40XNt2EWCsXPkBiLNPawcypNN0hOvmVkq50Yzo7OrL57rZ0JkkNEg27+3VOPsR2Oszx9J9LZly/vOaDkZijyYuXPnwuk0b5pUVlaisrJyRK4bj43xWLzU6Yh2AthPfPX19Ya23M6G3+c7Fo5NnGBFuA0Gg8jJyTE+IhE4AbNttdjtSlk5VxeChWi2u2rZioqKiMy+VhF3dOG4sLDQSNilCve33347BgcHMXnyZEyZMsUy54BqQy/9JpkfzznnHNMxvV+tFhdFRUU4cOCAKe6/IP1jF/UIsA6JKs80Pz8fa9asieg3dbEhCyV9kbFmzZqIxY7E81bbpIdQ1aN/6O9frHdaBFLdF0PIlkkmE7DrS70P7aIwRYvOYhdH3m4RqBOP0J0u4Sceu/JE36tUFibZRLZ/b2MpQMe6djb1bSYvRFRoc5/h3HHHHfB6vab/RkqwB6y31/TIHmOxNSbmC77/s6uOl3i3C1Ub+FAoZJheyHlST0dHB+rq6rBmzRpje3z79u0oKirC4OAgXC6XybRI3U70+XyGmcg3v/lN1NbWIjc319BS+/1+wyFWNOSBQMAwO/F4PIZpksvlMi0C1Kgxck0xI2psbERxcTHcbjd6enoMc5qamhp0d3ejoqLC2G2or69HY2OjIZgfPXoUAExmNWo/qRQXFxvblUNDQ6Zj+fn5qKurQ0lJidF+na6uLiOCkET4EUTYb2pqwpIlS1BfX28cEz+GLVu2oLOz03iW6jPt7+83dkTU3YBZs2YZfgViTyymVsCwn4DX6zWE9FAohC1bthiRU/x+P7xeL8rKyrBz507U1dXhm9/8JtxutyH4iw2x/i5GezflHRftv5U9Pk0Q4ke+SX2RpPehGoVJ3X636mv5DThmTqWb1ch3r0aH0rf1fYqfid2zVN+VVMy1rEwE9Pcw0fdKrXOkzTPGkmz/3lI1D4n13lkdt4qkZIX0rcxxib7b8frOpINsMLNJFGruR5FMSmKVKavqZGLVqpo4cWCzOl81IykoKIiIgqFGzLHSpMZjsqRqjXX/AMAcqQcwR/JRo2fIBCP25qIlXrNmDQBzrH5pMzAsYFsltpJrq2YzKlbaezUyj16/DNKq34D0uZ5wR9AjkIhmXG2vmNjobVBxOp2m0KIqqgmR7A7oSczU5xwLfedCvU8rkxp1t2TPnj2YNGmSsRjUd4fU3RSrxEMkeaJ9q+oxEVRjRYGxi/6i1qG+Z0DkTlwsTaC6QwUgre9COjWRY2m6SUaWeHN2JBNJKdFoTom0za4NsXKlxPsuq8nV1HrG+l2n5p6YsFqVpktjEWsFLQ6JqlZWRSK9SHx7vV4r7YBo4rZt24YDBw4gPz8/4j6kPW63G2vWrEGN4rCqRnSYNm0aABhRbfRoGiJwW8VMb2pqMswC5B5q/s/JDRgWSleuXAmXy4W2tjZjUFDj6QNmJ+G+vj5DuAwGg9iwYYOhnfb7/diwYYNJSO3v77eNDCPlRMOvas6PHj2K3t5e5OfnG869Ul6tPxgMwuFw4ODBg9i2bVvEsysrK0NPT4/l9QsKCgzHQYnaU1BQYArZefToUeTk5ETY/QMwoh2FQiFT3H5gWAh3Op046aSTDDt+MY2SnRNx1vX5fHEJ9g6HI2InQ41CIv4W8n91oN+9ezfC4TAGBwfR29trnC+CoAj2AIwIJOKUHAgETFpgkjjSzxKvXf+OE3V0tov+otZRXFxs+u7V7zgeTaC6IwAgrRrkdGoiY9U1mpr90XZI16+X6PUzyYHeqi12868QbXertrY26s67vBdAcu92NBlF/47luxdfr5aWFss6Y72r6ngtO7pWARiyYReLmvtRJBMdaoH4NdRAZKziWDHyJSuqarut1qlqva1iL1tlZRQNvFq3ZLMVDbHUK4Kk/rfcC2DWisvHbaWVVrXrugZajttlvrTSJkufAzDFvte111babEHi7Iu23wrV9lxHtOvibJoIVu1SbdJV+2T1HkWAVttrpTGXHRfpf6sy0fpGP8dqB0OyEYvwrdZXUVGBkpIS471SHXJbW1tN2iMrXwN5VwCYdmO2b99ulJM67HIEkNiIM7WacA6IzDmgxlzXfTmsnLhjaegS1WDG2lXIVq33aN5DqkEYUr2eVZZjq+vI72qm8Hgd6EeqP+PNAJxqnUKsvol1f1JO33HXy6i+LRLMQdW4J+I/InO3Op+q48lYZx2nQ22GkqnCfbxbc0Ck0HLSSSeho6MDxcXF6O7uNj4g+eDy8/MxMDAQ8bGpZhJ6vHK7RELq7+Xl5di2bZshLA4NDUWYoOjaYNUMBoCleYXquClmJMCx6DiqNkJFN79R78/hcBgx4AcHBzE4OGiEsFu4cCH27NljElArKirw9ttvm7S9VuY3IkirSXF0YVctI23RP/lYArKKLmCrfWz3vGRAlMUYcOw9skoMFuv6utMyAFvTJB3pR1k4qGYWapk1a9aYotuoJk7FxcUmB2wVea4SwUi+K5l01O9ENfeIJQQQe9TxSY+MZRe5SRfW9Ek7HsE9XrODeAQgVYCRticrQMQjFI01iZj6AEhIOIv2TBIVnPXyutmHXfSreBftyQjcqfaN3bsW6/x4rm+nBLS6Z6sEhFblhEQd0+P9Pu2cz2Wuk+h0se5rNKBwn6GMtXBv9RFcffXV2L17NyZPnoyysjLLDI2qJlq0siIsyoSp/l+EnlgRQQS32x2h5bWanNRVun5dYdGiRdi3b5/JBlsVvNva2gy7cbV96mSua+XVcJNiW61+NrIboEfTkXPVdsTzuamadlkc2dmci+PupEmTDI24Xk4WP1YRa9TjkyZNstX+q9dT+7S0tNRSG6oujKzaI3bpjz32mGkRY9U2qzYtWrTIEJL1MKOChDbV3zVB3blRo+04HA48//zzACLDf1rt2AAw7R6pC1CrjMX6ThUwPjS4Y0U8O4tqRCS1nJ3mNBFb+Fia+WiRdtT2yXim+uGkok3VdwvTSSLvazw+X9Gi+wDxhx+NtijTtbzJaP71dtsJ99EWWGrdbW1tMTXNelZ2dXdZ7Zt4+0ldeOTl5SE3NxcnnXSSMQ7HK3Tr17FaZNt9D+pOuoRP1jOql5aWGgtzwLyTGu290xUmVrvJ6nPRd+t1qwMhE3yjKNxnKGMt3Ft9lB//+MeN40VFRRGCkAwm6kcgAmVeXp7JYVKNmx5NW2E1eaoTkVzLasVtp2FXzXvkPFU7q08qQk5ODmbMmAGPx2PsBERDvTdBFg1bt26Fw+EwJmnR4O7cudNoD2CtZZZj+uJJfRYulwsHDx40hF09brxel34dK7t2qVueMzA8QUyePNmwIZcFhgyyqnAu74TdwiXagsZqIWWFndOw+qzt6gdg2rVQd0rU+9LbWVFRYTsJ6EyePBnf+MY3Ihag6nurO3dTiE+OVDWv8WAXFz+Z5xVLSFXHMxk/U936T5fmPlrfxWPOYaU5lf7U2xZN2Afi0wgDkTkOrNoMmJUDQKTG2m6RoCu69AVbPGY26m7gtGnTbBdyVoEAZBdw69atEfOvvnCN9lzVvCFWxLuYVfsOQITgLkib9H5Vg0vo47BuUquO91ayhf6+qXO15DXRr6OHNlb7Td6lWbNmoaurK2LXdSygQy2JoLm5GYFAAPn5+ejq6sLHP/5xVFVVGdpe+XBU50xx4OzsHM4aWqM4sYTDYfT396OkpASbNm1CSUkJpk6dCrfbjZUrVxoON+r1JZtkW1sbXC4XSktLMTAwAIfDgeLiYmPg2rhxIzo7O01ZF3XnOAm/WFJSgtbWViMjqYSZFMQRTBxi1IytwLCZjIRaVLPZAsMTgO6sKtFkSktLDWc4n+9YRlwZMEOhEMLhMNrb242QfWvWrMGKFSsMR1E114GumVev63A4MDAwgJ6eHkOwl7CMVoJzbm4u1qxZYzjRirAfDocxadIko5zb7TYGUHEUkslPor6odap9pr4bUreO2+02zJHs0B1l1fvOz89HUVFRRBmhs7PT0ta9qKjIsIOX90vaKI6vwPDiR56XDPSChOBsaWlBYWGh6V4FyVB8wgknmH6X70AmPOBY2MYVK1ZY3ksmOd5lMrLAkoVoLJJxLFWdDOM93+75yZhZU3MshK44oqvZoBsaGoywreJwrZsYJPp+yNhsVU88DtzR+rqmpsYYb+3qUBfDqmDf2WnOBK3OTVKf2u+q47G0Re0P9d8SbKGlpcXyWciYu3v3bmNeU+/Tap5QHTalLRIyt6WlxSTsWfWZXT9KBnXdoVXmSl2wlzFF5ppgMGgKERwrk7zK1KlTjbnB7XZj0aJFxrFo4VsB+zCp1dXVaG1txcqVK+F0OvHBBx8YgSDk3uXbKi0tNWWvl2zuMl/ImO33+zFt2rSIuT0QCEQ4Ojc2NpreN1UOkW+vuLjYtICQ5yj3pT6D9vZ2w8QvFAqho6MDnZ3Dmd+rqqqiBgrJBKi5H0XGUnOvb9Wq6A4jgLXmWDS1st0l59bU1ERkitW1G+r2mlXIRX2VboWq1ZHrqSY3uhZZXd3rW5Fi+67eX2lpqWGyo2uQVM2aoGt/VKc+uU8x55EJQM2GO23atIjtSautRP15yJanao6iZ5UVe2+5ju5wq5uR6E6hYrKkakLssIt0s27dOuM9UDX/AAwzMH23RLT0qm37rFmzTGZOYj5ktytQUVFhiocfre2quUa0cjqLFi3CPffcE6GJimY7b6fVT8RcYKIzGuZLyTgZJnKO7sMUzzX03QTJxqxmkI7WFtFC6koE3YdK1V5GM3eyuo7Vrmo0kxQgMjSw3TcQr9mOOheppnFqm9Rx3G532mquUfte30mUeoBjZjQAbLX7dmZfdlp13T9MP98q6ZqekC/a+2H1bKIlEtRNMdV70xclqvmrasYkckFxcTH2798PYNiHT0IKS+Sz2traCNNL1QdKncdUUyOr5Ih2OxZ6uGx1t0n1l9JNSPVAISMNzXIylLGMc69+qGqscnVQUgfPJUuWmGyQRdBTFwAygKkRYcrLyyOEYBXVxCKaAAsMm3+EQiFjO0z/8FT0wULfPrP6sNVtQ90x2Gpiqq+vN0WV0T9sGbjU+tXtQElApU6y6uJEtz+XxYNqw64OWuoWsfoc9ElOnmE4HDbZ369YsQLbtm0zhAQAxrshUXiASNtHQSbjRYsW4UMf+hBaWloMe+HJkydj0qRJEYsdXRMlA6jVM1W3UFV/ATUzbTRzJxmY1fddrXvq1KkR28U66jO0+l03C1MXlqrQoG/HW2VUjWbrmg1OkuOFZBYQidqgRxO+rOqUcUMWvPItWgkXVm1RlQpiOihjD3Bs7I216LTzIQAQ4Q8Vr+23ld11NFMXfdwbHBzE0NCQsdCx8s0S9MWM7jNkJbQCiBD+gcjxzCrCmnpNWZAtXLjQpBRS26KatopPUzRHa6tnbTcPqbk4ZMfe7v1T7yFavhQZy/R5TZBobFY5Tqywel6qb4MqhKvRy2SsVecRu3dZ2iWR2NScL+ozFXNLdcGnzydqFvnRgMJ9hjJWwr2VhkVW11ZCCGB2tFXtiaM51qoraCvUqDbAsYWFvuK3soOrr683Piq32x2h4VcdL6OFxLKbVGXyk/uw0qRKP1pFAALMg6qqEZa2qgK+ukiQa6j+Dyr6JKnbAuoDqvSrXEcEebUt0kY9eoj+zqj9KT4FEuVHhAzdidgO3TlWFm92mvNFixbZRqWRe1Q1i6qztJzf3d1t2S71fdUTUKmTrLrwUB10JfmW0+nEpEmTjERcYquvCgLRtPqxHC715zGSTpLjkXRo+mNpsO2uGWshFkuDapXsTo8GtnLlSlO4VjuHYTUpj5RX32srbaeV4yVgvRCwclwOBAImoduuX/Vy6nXVxYcIyWriQTuHR/W+1TC36qJaF/jiSUqma61VpYv6t4qdH5WV1tkuoWK090Xv03iTHFr1m/pcpL2qX5qdoiQcDhttFz8COabuvFohiiR1sab6lemJHEURJ+OuOp6KAk71R9AXZdIuPYGkz+cz+bQBwAsvvBCxyJY+UKOqjRa0uScmxM6tsLAQVVVVAGAMmgMDA4at2saNG1FWVob6+np0dHQAAIaGhox6dHtDv9+PnJwcuN1uwzZNbCdFM6AmBVIFe2B4sNu4cSPq6+vh8/kMG7kVK1agt7cXfr/f+KDVpBQDAwMRGmC1nTU1NYZwtnXrVpO9fmtrK7Zv347W1lbTR1leXm6Ygqhan5qamgg7zBUrVmDWrFkoKSkx2XtKUiK3223sYKgDeigUQlNTE1paWoyBUATnqqoqky8AcMx+XG1Dc/OxRB2dnZ1GgifdV6KxsRE7d+5EOBw2kkm5XC7jutJGaa+eIlxsanU7T2DY/EYEe7EXtUtkpeJyuVBRUWH8PTg4iFAohJ07d6K2tjbCv6G7uxt1dXXIzc2F2+02vUuSKEr3e1DZs2ePyf8COGZCNGnSJMPPQOzwQ6EQamtr0d7ebkpQJOTl5RkThAjzoVDI+LfD4UBJSQkCgQCamppw8OBBw19CjSJRWlpq1Onz+QxbWTGlsrNxVm1To9nEjicStTXXy0ezG4+FJOCTZHXyXcVqi1xz69athl23Fao9vtX5QOQCXJ5/RUUF8vLysGXLFsMfZMuWLSYbZ9UOef/+/caYJTbTkkxPbL/VBUFVVRUKCwvhdDqNXTO/32/4ZamJA8VmXuYBGWsGBwcRDocjEgqJTbn0i1pO6hJBV0/w5fMdS0iXl5dnjAsOh8MyEZPsPgKRfkE+n8/Qkst4KONxIBBATk4ODhw4YMxP4ivQ2tqK1tZWlJSUwOVyYcWKFXC5XNi2bRv8fj+CwSAKCgqwfft2FBQUGPeg+vQAw2OHCI2qvfm0adMs/SQKCwvhcDjQ09MT4WsgeL3ehAR79R4Fed/VMuLnJveQk5OD/Px8YxdI5pWVK1eitbUVFRUVcDgcyM3NhcfjMcZdh8OBiooKY25Zv3497rnnHrS2tqKgoADBYNAkXAeDQcOeX8Z6STAlYSpra2uNb3Xbtm0Ih8PIzc01vr+mpibj/ayoqDC+qd7eXmN+q66uhsfjMV27qKjIkJfk3du6dWtE2zIVau5HkbHW3Avq1qSVjbuV+YSuadS3/aLFgFe3Xa0i0ujaSLW9UreVnaN6P3occQAmDWs8oc/U/lDtNfWoPfGEabMz8wCOaaRF86/b00bbNdBt0bu6ulBeXg4AEVoVPQSYnZ0kEDuai+wWiH2kVWg2O2KZX0liJyubXVWDrr+zejQTACZNoAgl6k6LCNDAsZ0E2QmSyVW3SRbtn7xLKqpmSt3eVbHSQOq20KJRjcdcYyKRqP27/i0lonHXUU0T1chU8Y4lVvk05Hi03QS7aCRWdtNW6ONxtPCaugmL6sujmphZmZ0JYm6h7qYNDAyYzGUAGO+5+g0Cx+YbPdIZgAi/AqvdV91URvU5suobaTOACDNH3bQDMGvY1ecQzY9N/H70b1kdZ+X+xExHdhDttM7qddRwyao53/LlyxPK+aH6Qq1fvx7V1dURO8gyfqtzozom2/kL2UWdAqyjH6m786pvlW7aY/UdqmZns2fPNj1DPfywnY+T1CF9oZrjADB27dVkk1Y7LCMJNfcZztq1a1FbW2v674knnhix69UoUQIAoKenB21tbejr6zM+VnU1rUZUAYYHQl37rXrXi6ZIvY5od2TAl5W/vmUpTjNqdJGamhpDK1BaWgqv12vYpwuiAZCBo6GhAbt27cL+/ftNUV+mTJlieNpLhAg9UoR87H6/35jApk6dip07d6Kzs9MU0UCP7CDaLV1rJNoYaaPaX93d3di1a5cxYYmWXLTMEjVD1ehJ34ZCIeP8TZs2GfXoWmvgWCQav9+PrVu3Glo90WioWge5djAYjIgcoUah6O7uNnZvJJpRTU1NRJQbFdFsqVo40ewAx7atRaPY0NCATZs2GdeU/vX5fKitrTVFRpLry73U1tZixowZWLduHVasWAGn04kVK1Zg165dhlZd3kvZ7ent7YXD4UAwGDRF5pGdG9nFEide9bjsWAHHtPlqlCKZWMTcR31X1F0YeX59fX2GljSTtUKjhZ12O57y6q5IW1tbRHSLWLsCaqSngoICrFu3LmpbVI20Os6ddNJJpnGnqanJpNFXI4mpkWIAc5hBtYyMkTr5+fnGrmRhYSEAoLi4OOLdE6qrq1FXV2eMLeo7p5ptyr3L7ioAYzxRhUnp82AwiBkzZuD5559HQ0OD8Z5LdBn1O5IFVFdXl/GbjAnhcBhbtmwxNNUyBkhiPq/Xa7on2QFQn5Fo5tVgEcFg0Gi3jHWykzcwMAC3223MZcXFxQCGx0iv12u0RbTBovGX55Gfn2/s2sq3LOepkdNkB1oi93R0dBhRcCRaV2Njo7FjLJFecnJy4Pf7TZHZZNfdCvGz0PtjzZo1hmJI+kHaLzidTiM6mqr0ku+gra3NMKXVd5j1qFPyTcriUR/j1CAI0k5geE6S/lR37dX3RXbeV65cicLCQsOEze12Y+HChab52+v1Rsgc6nNetGiR0V490tWaNWsM7f/KlSszWvlCzf0oMpbRcnT7QtW+T3XcUR1VRItrFW9et4u0Sg4BmLVO6jkAIrQAdqt+VZtjF5NWUO3edY2pVcIt1QFYL6/H4lW1JXrEHyt7T13bFk1jF28EAztbXl2zbheFR0V1BlK1lKpWTo8YIBpmK0c7Veul9pWVD4SdHXMsJ0J990TdZVIdb9WJXDSneh9Ln8kEBhzT5ou2SBKXibO1umuhJ+1S78XK7lrVwOm2trpj41jYc2YaqdrLq+er2mlxQI0nE6id5j/a8wXMu5+6Zld3ulbHZbvdOjWztu7cqjoqqrsEVk60dv476rsNIEI7qseP13c61XnAKqmdOO6Lllr9ZsSGWvUHqFFs64FInyorzaygmjd2dnZi0aJFWLVqlfG8VLt49T7VsUt1otd9itS/VR8DGRfsHEf1OULfjY6Wz8NuzNPv3yp3iJhCii26Pq5YRclRdxzU5yDafX13SteY6+O/2n41T86pp55q7FYA1jlg1N0Y9V2y8+VQdx5eeOEFk+O2tEn6Vd1RUDX18TiCj4XfUyIyZE7Uo2RcIB9veXm5Ibjn5eWZBHcRcLu6ugyhWwYBGdhVjaNoLSTSjjpB6ZOTxBKW8+0EVRX52GQwlmg4sSKFqE6WwDHhTswrREjbs2ePYZOvm+HYRWsIBAKGgAAci3k/e/ZsU/tlkBCthCqgqDatej+ofWNVl8QWln5V65e2dXR0GNpk9bqqICATmqrtX7lypTH4y+QgGu5AIICdO3caGmbJaTAwMGCKS61HtlDb4Ps/+1a5pmj4ioqKLLfEvV6vMRCr9v3q7o4e/UhyL9ihbw03NDSYUsg7HA5DgCgoKDBMyA4ePIhZs2Zh//79luZZACLCXsrE3dPTg+3btxu/S5vVflEnRBEECwoKJrRgD5jf/WT7QrStskAUTWV9fT0OHDhgsh3X0d9p+U11WpTn39TUZERwAsxmcHr2Tz1zsfoOiz212ACLXw1wTHCTb079hvR3G4ChuBCHdNFeiv+Qarqye/duuN1uU0QqMc8DYNK8iwCu3iMAYx4RExH5PtRMn5JAToSjAwcOYN++fRFRorxeryljtmoLLW2Sb0nXT3Z1dZn6dP/+/aaFl3yrZWVlxo6w1NnU1ITe3l6T4CRj84EDB5CXl2cImACMPpHrFRQUAIApnLEIyuqzkd1owFopoZrLqnODz+eLUNToOTr0AASSU8Auqou859InqkIEgCmLLjA8r+ttEH8k2a1UhX55X9XxTvwS1N0Kt9uNgoIC0zxtlzRK3n/5VlQWLVpkmFHKda2ykMtusOyQFBcXo6ury9J3Q72m3VydaVBzP4qMtc29OgnoYceswpABMA0mbrfbNFHpQo4eyk8X2PRJyOqD1TVliaQhtwqZpv6tDlwAImzMY63c1frUiA3PP/+86biqlZLrWGnk9Huy6hsr7aX6m7TZSlNih51GVNcMqRosNY6yqoFWbS+jaVmtNH+qMCITtT65qT4GenQiNdqGrm230wzGSvEOwFJjBcDUB3Yh+uT5q7ajK1euNO16RHueACz/PREF/VQ199HiyctOlfr9xqrHLtShIM/aLu68VahTPWyhtFVfvMpOjjpGidAC2O8sqNFixA5cD/knqLb1okzZunUrJk2ahFAoZIS9lQhUdjsQ+s5CPPkjrMYX6VM9hK8onfRIU+qOgVW4Z/1dUucDOa4uRNTzVft2dRdFBHPg2LgBRNqU281FUr9gFR1On7etwkqqc4nqV2Dnu2OXydcq5KRVuFM9sg9gzlkgfaNm4JX3VW2XGtEtnp1KXaawi1ynR7ZTF7h6lByrEK76fGZnpz/aMBRmhjKWce71gS2erSUrYU8dqPUtOrvBxEoYtTJjUQcGq1CHQHRhx0rroNYvixSr5FJ2/WSH1eCoXt9KKI4lzMVaXFgRj/NdPOfamZJY1RnNJMGu7dHeN134kbrsQuHF8y6rdUqYNrV+PSyllQCmmixYaZDsJmxVcBItEpB4whOr+0pV4J1IRDOrEcdDVWiOpnBQxzYARsxyMXcR9MWCugDVw0JambZYhZwUrJQz6phZUVFhLB6tzPBU0xM1h8i+ffsMMwd18WmV8EfaoJqUqLbp+nditXgRZD5RHdH1RYskNZJ+UcfXaEmy9PC2VgKu1W6mmP/oIUdVMUk1K5E2RTMrtYvTriuA1LHHbkzUBVDdvwOwj12v9o+6iJF5XD2uzpVitgSYTZGsdtHVXS27BGHyHqnmnNHGMyv5QXcGVk1sVSWK3Ke+wx5t3lMDOeimucDox7ZXoXCfoYylzb0QSxDXy+pCnCRakgydgqrNstJQWdWlC2e65kgXkK1sm9W67bKDWtncJaLdBuITmq00QYkIYdEGumiCSrKk03YwkQggdlus+mCr28Cqg7uekVF/VuoAbRUtR12wtra22mpmEvGTsIo4pE5oMinE429gN+moiVt0U6DxTLTxI5X6REBSfR1Ufwqr5GpqJA0rwU/MsFRBRxAhQ32WVvke9JwQgrxDqmZSFeLVxG9WGm/ArGHVfZrUSFmq9jgnJ8ckJKuRRdRry+JV19qrsdKtFAJWmlIrhY8uaMl1AZi+b5mDZBGiPxd9jFCfn8whqq+SqhCy2omOtgNutfDXx5hoycJUxZbVHKjPvdHmN6v3xip6l/ghWS1Goi0crGQLtb913wsrfz67Nqv9baW5l2epvoeqEg6A5W6F3fVULX8issNIQuE+Q8kE4T6Z1OfxoGuhEnFWiWWWoKcnB6y3ca205NHqjyZkqu0FopsDWZ0fTfBIRvuqhwe1us9EyXQtcDSTJLtJwS78WrRdB/VYNLMwq/c21s5StF0zwNqB0m7i1x3nJopwr/ZBskm8or3rVtpluY6Vk6NuOqaaVah+QerCDjDbVtuZxQCwNZsR1q9fDyDSDEJtu+4/pAtncr6+uAHM76TdbqgkC5LIavquhG66ZLWbGk1ZoSpkAJic2OU+rO5bT0Coam5lR0UPYakGeNDHVv3+xRFWzzRrpVmP5ris37fVHGU1xkVbCOjhR3XzR303Um9Hc3MzNmzYAAAmTXescVB/Zvo7ZGWGKv0UbRdGfVcSGVft2qgmqoy2gxqPmaT679GcOxkKk9hSU2NOTiSIk6ceJjJeqquHQ2SuXLnSFLpQHOJqauxD2lVXVxvOola/S/gwNekSgIi6JeSmXT3iOGRVBoBte6O1PZ77EKSPJeSaz+eLWp+K+tzUe0+FWO1VkbYn+l6kglX79HdCfybqs4p2voTblElNkpUAMBx6gWMJ4FQnK7W8mkRL6gYQta/0b1Dqswqr6vP5jAlJbHsdDochoE0E1D7Qk3jF+16q37aOJJ+T8KVqeEM1PwNwLEyg3+9HXl4enE4nTjrpJEOrLZpjCWGoJ2YDhgVd9VmqzpASsnLhwoVwu92W5+sBCoScnBzDR0U1L+js7DRCCarvqgilck1Bkh1G69OGhgY8//zzmDFjBgYHBzF79myUlJQY58k7Lgmm1MRt8jwkTKnV+CPfXWlpqZHgSBx2/X4/+vr6sGjRIjidThQVFRnvRnV1tSmUsMxHCxcuNOa3np4eOBwOFBcXo6ioCOvWrTPC6wIwCWwyzqgLomAwaCTy0+cL9f1U3009lHC0ULfqolAf49RvQX6XubegoMBICKYGLlDfe2lHR0eH0f8AjHlJWLlypWnslOfZ09NjhGO1emZ6gjM5VyKm6eFDZc6W70ZCesb6nq3GWgmNqYbIBI6NEZKYUA3/Ga1uXV5Q/x1tPMkUqLkfRTJBc29HMuntY62eo2lO7Va88ZqKjITWeaQ12ao2KhXN+1ho3Mcy/NdIYxV2NZotfqx3PBGHabW8/u3FszMwEYjHpC/eHUG7SFh22jhVUys26fK3aOFVLSSAiER4O3fuNEXq0G2W1WgkIuTo74BapzgH6o7v+g6nutO5aNEiQ1OrmxzJu6kGCbDafY1lbic7AKpZot0OW6LzgJUpTSJjkVXCKbtdv2iO8wBMTrzRTMTsEqpZnafvVKjl7Hyg1H+rvm+AWRtvZ96j7zDFmpdi7frHmiNifauqj0e8ppjq+6WHW473uvGMqXYmk6M9FtMsJ0PJNOE+nskvGsk4/MUTW3q8CjDZfG/Z3PZYRPsOrOzcYw30iTpMW9nW29n2jsf+j5dEx5tojtZ65Jt4zO9UG3TgmAAioftE6Layz7UyW7RqU7TFop5BVreRj+YYaHU9cVi3yp5qlU8klnmEKtwDkdHIAGvfGKvM2WrZeMw0Yh1X+0a9npWpUrSM5PEovOyE+HiETPXaACwX/UK87UrXnBvLVyiW7BDPc9PDWFvZ2euRgWIpyhIdI6zOjcc3YDSgcJ+hZJpwn6o2NhmBbzwLiWT8EE2br2PlSBttcotlX6qGBRV71InqSKuSqFOtVXnAOlJGrGO6E6mael7VukrkldmzZxtx0SU8q66l18Oy2t1XKlpDu4WrldBv53Mkf6sBC6w086p2WkI12jmsA4jQpKt+DlbhDeMlUYENiEwwZaWpj2f3LJp2O5afAWB2AJWIL/Fq7u1Ids6N97xk5IhUFmjx3Hu89ds5QOv3li4/t1ShcJ+hZJpwT0GbEGsS2Yq3ioSha2CtBCerCcNKqyrlgYnlSGtHtLjxscrbhfAT7ARcydJqFZNbPccqfKSqeQUidwestIMjsVMTa4dARRUyrSJM2YX6tROG9GcG2GvuxQlWDQOpfkeJZA2OJoBbxZdX67F6BxLNaiz3aaW9t3oGqZi2pJuRNJEd6ftItB/tymeajEThPkPJNOGeEBIfus2ubv+ph4CLJhRYbTPrNvYALDWi6QqDms00N9vH0rYT2HWhWzdJEfRwtvHaVwtW0UiszE1i2Tzr7496L8kKG1amKXbvU7TEh9E0p7FMN+Jpt9XCQv+OAHub+VSF0XiSPsbb/3a+A3bPOBmNdrL3GYuRFGxHetc/0X7MNCHejoRkyDAZNY4cORKuqqoKHzlyZKybQghJgIceeih83nnnhZctW2b8/+yzzw6fd9554XA4HK6srDT+rqysDH/7298OV1ZWhh966CHjfPVvq9+kDvktVvmJgtV9n3feeab+ln6LVseSJUvCZ599tuk/OV/qlnqXLVsWrqysNP6Wc6NdIxGkzUuWLIl4V+zuWT0vkXbYvWfJvmux3sNYbbQ7P552yHd43nnnxXV+MljVk0y/x2rTSH/PybY5HsZiLBrJ+8kWEpEhGQqTmBiLkIeEZDrV1dVwuVwIBoNwuVwRIRJramqMJGydnZ1ob283hZJTw6ipdarhOCVMnGiP9PKi6fP5fKNyz5mC1X1L+EoAliFEdaqrj4VIrKioiAgru2HDBtTX1xuhD3Nzc00a4mRDcNpRU1Nj7ALp70qs8+IJy1tfX4+lS5eivr4+ov/kXZV3Ldp71dbWFnGfenm9L9Q2WvWT3fWsfte/g+rq4bCPra2txncj9Vt9M8lgVU+8/R5PXfEcSwfJtjkexmIsGsn7GY/QLGcUkS2VuXPnmuIKA0BlZSUqKyvHqGXHGM8hDwlJhVgOXfHYgttt/8bz3WXL1nG6idVniSa20s1TxKnSLrOllVOn/rxilU/kvvT6rWyzY70LasIe3W49nnZE61u9fLR3N5EIR5lou02smahj0VhDm/sMJRts7vnREhI/iURwAKyjLwCRNvv89mKTaPQcQRdc8/Pzjbj14iibqOOkmkE3WvbLRO/NzjY7VvuSWWxYXT+evo02Z4z0fML5ikwkKNxnKNkg3BNCrLESJPT09PHWkUg861TbOJ6wcoRTk0zFI8haCa66AB1PP6oCtl0CnZG4Z7vfCCHjm0RkSNrcE0JIHKTDzlTsbMVmPBAIwOPxWNp1A4nbdo93u3z9/nw+H4LBIMLhMLZu3RpXX8kzaGhoMGyePR5PTLt9HdUGuKGhAbt27bIV7FOx0Y/lr0EIIToU7gkhJA6sHLrEAVNiWseLOOj6/X7DoVIVNoFjIRwTEdbHu9OZfn81NTXIz8+Hw+FAXl5e0gub9vZ2w7kViG+RlIiAPd4XXYSQzILCPSGExEG6NaixBHGfz2fYcdtFHhHkGIBxrdG1ip6yfft2PP/881izZg3cbjd6enpQVlYWU0uu9qeuuU/3Imm8L7oIIZkFbe5HEdrcEzJxSDVRSiJRSRK1/R+P1NfXY8uWLcbfsXwX1P4EIjPHEkJIJkGbe0IIGWPEFMPr9aKqqgper9fSNMNOI69rqan9jU5LS4vxb4nhHg21P9PRt8wRQgjJFHLGugGEEDIekSgsgUDACH9pJUCq9tjRNPrV1dW2ccqBYYE2Udv/bEYPQ5qbm5tQ1Jy2tjZ0dXWhra0NDQ0NEZFoJJpOvKE2432OhBAy0mStWc6dd94ZdfvZ5/PhhBNOAAAcPXoU9913H55++mn09fVh3rx5uPLKK1FSUhJxXrxlE6lToFkOIROPWOY4qYY1tIqdPxGESyuzmkT6QE30pMam1+PgxxuilOEpCSEjyajEuU+nXWdZWVnC53R0dOAf//iH6bdwOAyv14tZs2YZCUYA4LbbbsOOHTuwatUqzJkzB7///e/xl7/8BQ0NDfjIRz5iqiPesonUKVC4J4QkSqwkQepYJ7HzJ4LduFUCMTV/QKw+sEr0pPZnaWlpQpp7QggZSUZFuF+1ahUcDkdSDdR59NFH01LPa6+9hvXr1+Oqq67CZz/7WQDA3r178Y1vfAPXXHMNLr74YgDAwMAAvvKVr+D444/HbbfdZpwfb9lE6lShcE8ISQQJh2mnOVa112IGNJGF0HTtgrA/CSGZRiIyZEo29/PmzcM555yT9PnPPfcc3nzzzVSaYGLbtm1wOBxYsWKF8duOHTvgdDpx/vnnG7/l5uaivLwc99xzD9577z3MnDkzobKJ1EkIIUKiwqdVOExVWx0IBOJyHp0o2PklREPX1gPH/CWSsaGneQ4hZKxJSbg/9dRTcdlllyV9/oEDB9Im3A8ODmL79u0oLi7G7Nmzjd/37duHuXPnRqxyzjjjDADAG2+8YQji8ZZNpE5CCBHUCDrxCIC69lg0yxJxR0xQ9GPZIlRmgiDs8/ng9/sBwEgoph5LdOFEx1pCyFiTdChMl8uFvLy8lC6em5uLKVOmpFSH8OKLL6K3txef/OQnTb93d3dj+vTpEeXlt0OHDiVcNpE6rQgEAnH9d/To0aj1EEKyC0mWNDAwEFfGUqtwmG63G4FAAB6PJyJba7aFysyEzK3Sp/oOSLIJyrLxORBCxhdJa+4feOCBlC9eW1ubttBt27ZtQ05ODpYvX276fWBgAJMnT44on5ubaxxPtGwidVpxzTXXRD0uXHbZZbj88svjKksIyTxUk4/a2lq0t7cjFAohNzcXBQUF8Hg8qKqqijvRVXV1tSEQ61rmZExSxhp1Z2KsSHe/ZeNzIISML8ZFnPsPPvgAf/rTn1BSUgK32206lpuba6kBFwFcBPJEyiZSpxV33313XA61VgsIQkjmogvzqsmHCLF2Zjaq4B7NpCMTBOJ0kW5BOBPMfAghZKwZFxlqn3vuOfT390eY5ABAYWEh3n///Yjf5TeJhZ9I2UTqtMLlcsX1H4V7QjIfNTOpCPN+v98QMlWTj1hZZ6V8T08PysrKLLOdJmsukmnEyuiaTMbXTDDzIYSQsWZcCPfPPPMMpkyZgqVLl0Ycmz9/Pt555x0EAgHT76+//rpxPNGyidRJCBnfqE6ygUAA+fn5JmG+trbWtFOnCq26oF5dXQ2Xy4VgMGgsEKxIRvDNNFRBXL0f+bfX601YUFcXS83NzSgrK8Py5cttF0rxMB76mhAysUi7cP/nP/8Z1157bbqrteXw4cNob2/HOeecg/z8/Ijjy5YtQygUwubNm43fjh49iqeeegoLFiwwRbWJt2widRJCxjciUALD0WsGBgZQW1trCOy6NjmWdtnOwVNlPGioVUFcvR/5NwDDeThewVoWSwDQ2NgIv99vLJS8Xm9SQvp46GtCyMQi7cJ9MBjEe++9l+5qbfnDH/6AoaEhS5McAFiwYAGWLVuGe+65B3fffTc2b96M+vp6dHV1RUyc8ZZNpE5CyPhGBMra2lo4nU6EQiGTIGhlehMtmkp1dTVaW1vR2tpqmZG2qqoqIlKOfjwbtMzqroVVFKDS0lL09fVF3cGww+v1IhQKAQBycnLgcDjijlCko7YtG/qVEELidqi999574yq3f//+pBuTDM8884wRdcKOtWvX4t5778XTTz+Nvr4+zJs3DzfddBMWL16cdNlE6iSEjH9UTb0eBUci4chveqbZWIg9fyAQMBx0N23aZKozXofcTMQqClBVVZUpgVcyuN1uuFwudHZ2GhGKEq0rm/uVEDIxcYTD4XA8BVetWoXjjjsuZpSXgYEB+P1+PProo2lp4HgikdTBhJDsRaLgFBUVGYK81W+CHuVF/7usrAx+vx/5+fmGgKpG25E6szVajB5lKJ6woPHWBSDlPsnWfiWEjB8SkSHjFu6/+MUv4iMf+Qi+9rWvRS23Y8cONDY2Uri3gMI9IRMDK2EwmoAowrvb7UZra2uE0K4fj3adbCTawifZukRrn+19QwghQGIyZNw298XFxdizZ09cZeNcLxBCyLjEKlxlIiEsdbv82tpaFBUVRST9Gw9hMZubmxEIBKI6ECeC6uDc2dmJDRs2oL6+PuV6CSEkW4hbuF+1ahX+5V/+JWa5xYsXo6GhIaVGEUJINpGqI6sI76WlpaiqqgKAiBCZqQjx0r76+vqMc7iV3AAul8vkm5BqG0tLS41/t7S0mI5lk+MxIYQkStzC/emnn45Vq1bFLHf88cfjzDPPTKlRhBCSTUQLlxiPICnCe3t7+4iEXZT2tbS0ZFxYR32XwqovreLg2/Wn6phbUVEBp9OJ8vJyUz3JxNAnhJBsYVwksSKEkLEillmJCJuNjY0xNcWxwmSq10xE8yz1lpeXx1X/aKLuStj1pVUc/Gh5AuQeGxoasGvXLmM3Wc71+/1wOBxRo6wRQki2ErdDrR3vvfcempqaaIoTB3SoJWT8EcsZtLm5GY2NjQiFQmlxGI3nmtmK3X2pEXBKS0vR3t6ekKOsOB57PB60tLQYMfDHW/8RQsYviciQcce5t6O/vx+vvvpqqtVMKNauXQun07xpUllZicrKyjFqESEkWSTDarSkVACilkn1muMlao5dX1rFwU8ENettXV2dsVDIpB0MQghJFylr7vfv348vf/nLDH0ZB9TcE0LsSDR8psp41eSnqrFX6xkPix9CyMRlVDX3hBBCUscqC2o8mVHTHUoyk5BIOgCS0tgLkiWYEEImAnSoJYSQDMDKmVb9zc6JVg8lqZPNYR9ramrgdruRn5+PQCCQ1D1k8/0TQkgyULgnhJAMQI8ao8e7t4sSEyvCTqzoMpmKmNKUlpZiYGAAfr8/qXvQ7z+RsJqEEJKN0CyHEEIyDF0glUgvQKQTaCyTk1gOv5mK9IE4wjqdzqTuQb9/vW9jmT0RQki2Qc09IYSMEXaaYzFH6enpwcaNG01RYhIVQlPNbjtW1NTUGFHFnE4n6urqEroHq90PqVd2OuLNK0AIIdlEWoT7FAPuEELIhMTOZKa6uhoulwvBYBDhcNhSax3LvCTbTU6qq6tRV1dnJN/y+XwJ3Uu0vlWF/UAgAK/Xm7X9RAghOikL99OnT8e//uu/pqMthBAyoRANvZWzqBxzu92WWmurrK1qFtxstbVXEUG8vb097iy/QjxaeXFGTtaenxBCMpGUhfvjjjsOF1xwQTraQgghEwrR0ItwqWrbq6ur0draitbWVktzFN28xOl0IhQKGULqeDI5Ue8vXgFf19Bb7WSoC6jx0E+EEALQ5p4QQsYUVQhPRNuuCq+qCYvH40FVVRXa2tpM5bPZTEfuT1/AJIJV38ZaQBFCSDaSNuH+/fffx6uvvor333/f9Ps//vEPNDY24stf/jJuvvlmdHR0pOuShBCStVg5fCaibdeFdd2EpaWlJSLiTjab6agLmES17PX19Thw4ADy8/OpoSeEjHvSJtw3Nzejvr4egUDA+C0QCGDdunXYsWMH3n77bbz44ov4zne+g3fffTddlyWEkKzETpMcb2QbKzt74NhOQHl5uUkQHgsznXTvFiQb+aelpQXhcBgDAwPU0BNCxj1pE+5fffVVfOhDH8LcuXON35566in09PTgE5/4BH784x/jC1/4AgYGBvDII4+k67KEEJKVpCpsW9mhS+KnmpoaNDQ0mAThsQiJme7dgmQXC+Xl5XA6nSgvL09LOwghJJNJm3B/6NAhFBUVmX574YUXMGnSJFx77bWYM2cOLrroIsyfPx+vvvpqui5LCCFZSarCtpUdeqaZ3qR7tyBattloNDQ0YNeuXWhoaDB+y2YfBEIIiUbaMtR+8MEHyMvLM/4eGhpCR0cHTjvtNBx//PHG7yeddBKef/75dF02K1m7dq2RnEWorKxEZWXlGLWIEJKNyMJAz8CaKXblsbLnJoo4HYvTcCAQMCINJXodqyzANTU1NNshhGQ9aRPuCwsLsX//fuPv3bt3IxgM4swzzzSVGxoaQk5O2i6bldxxxx1wuVxj3QxCSAYhJjUejwft7e1xC5q6AJ0pwqlqIpSuNkk9jY2NCIVCcLvdSe8MyEJBj1KUKf1HCCHJkjaznOLiYrz55pt49NFH8eabb+Lee++Fw+HA0qVLTeXefvttnHDCCem6LCGEZC2qaYgImHqUm2xF7sfr9abV/MXn8yEUCsHpdKK2tjZp0ybVLGo85QQghJC0CffV1dXIycnB//zP/+BrX/sa9uzZg8WLF2PhwoVGmQMHDuDtt9/GGWecka7LEkJI1qJGvPF4PCgqKkJxcTGcTic8Hk9SdaoLhubmZpSVlaGsrGzUbctFYAaQ8mJFvSdJPDV16tQ0tXRsnI0JIWSkSJtwf8opp2Djxo345Cc/ibPOOguf/exnUV9fbyrz4osvYv78+TjnnHPSdVlCCMk6RFj1eDyGQ2x7ezs2bdqE7u5u4+9o59oJ66qJic/ng9/vN+zSRxMRmGtra1PWiutmM2pWX0IIIWbSmqH29NNPx9e//nV873vfw5VXXhlhV37BBRfgrrvuwpIlS9J5WUIIySq8Xi86Ozuxc+fOiMRMsUxE7OLbC+r5ouV2u91jZnKSDq243ifq34x6QwghZhzhcDg81o2YKAQCAaxevRoPPvggHWoJmcCUlZXB7/fD7XajtbU1oXObm5sNh9KioiJs2rRpRJxXs4Wqqip0dnYafZEME7n/CCHZQSIyZFo194QQQqIjGma3243a2tqEz5f49qomO9Pi21thpWFPh9Y9Hc6w2dB/hBASLxTuCSFkhBEhtr6+Ho2NjfD7/XC5XCYtcSKCrm7qkg3RXqwE6GSFarWvRsLshxBCshma5YwiNMshZGIipiPiPOt0OlFXV2cIpFamNlZko/mIVfx+AEnF9Jf61Dj3LpfLqNPr9QIAamtrs6Z/CCEkHhKRISd2NilCCBlhmpubEQgE4Ha7UVpaainMqrHbo2mPszHZkrQZgLFokcWO+lsi9UlfATBi6ff19SEUChllsqV/CCEk3aRslvPee+9FhLwkhBAyjISjdLlcaGhoMJmQqCExi4qKTNp8K6zMRzI9WoxE7AkEAkYbUzGDkXPr6uqMMJsAEAqF4HA4xjQyECGEZAIpC/f9/f149dVX09EWQggZd4gw6vF4IoRw0WpLjPtY2mYr+/JMdwZV49JLtlpguF98Ph/q6+sTWpxIHwDHTHuAYQfldevWobW1lVp7QsiEhg61hBAygogw2t7eHiGEJ6PB1jX1UkdhYSGWLl0adSd1rLT80saBgQHDjEYWJS0tLUktTiRXwNatWy0dlAkhZKJC4Z4QQkYByUYrmmYguQRPIhQ3NTVh6dKlaGtrw6ZNm9DR0YFQKISWlpaY545Vttrc3FwAQG9vr2GKVF5enlKkmry8vLREusl08yZCCIkXCvdjwNq1a1FbW2v674knnhjrZhFCRpD29naEQiG0t7enVI9owfv7+03CfHl5OZxOJ8rLy2OeqwvCoyXY1tbWwul0IhwOG6ZIANDV1YW2traE6yoqKsKaNWsiFkj19fUxdzF0Mt28iRBC4iXlUJj79+/Hl7/8ZTz66KPpatO4haEwCZm4pDuMZX19PVpaWlBeXo6GhoaU6lJDdcZy6k2V5uZmU8hKCWvpdDqxa9eutFxj6dKlCdeZjWFGCSETB2aoJYSQDCOVZEtWmvWGhgbs2rULJSUlacnyKjH4R1pzrTrY+ny+uHYcEiWZOtORDIsQQjIBCveEEJLhRDMZSYc5SXV1Nerq6kYtS6tqHlRSUoJZs2ahpKQk4XrUzL/qAkcWPqnuaBBCSDaSFuGeSW4JISSSdNmyW8WKV4+lQygfTc21eq1UFidWEXfoGEsImeikLNxPnz4d//qv/5qOthBCyLgiHVp1sQUHYJiyqGS7OUk6ElqpEXfoGEsImeikLNwfd9xxuOCCC9LRFkIIGVekQ6suwiqAlOqKptEeS213dXW1IZQnen1Z2EjmX2DY6YxZagkhE5mUo+WQ+GG0HEJIoqQjiktzc7MRlaaoqMgQhAWJluN2u+FyuUY9Yoxc36ptY1EPIYRkGmMaLcfv9+Oxxx7D7bffjptuugkPP/ywceytt97Cn/70JwSDwXRflhBCxiWinQaQtHbd5/MZoSGtNNqywwBgTExaovkU2GG125Au/wNCCMlmctJZ2fbt2/HDH/4QwWAQ4XAYDocDJ5xwgnH80KFD+Ld/+zesWbMG5513Xlqu+de//hW//vWvsXv3bgwMDKCoqAgVFRVYtWqVUebdd9/Fvffei927d6O3txczZ87EihUr8JnPfAb5+fmm+o4ePYr77rsPTz/9NPr6+jBv3jxceeWVEZEc4i1HCCHpQLUlT1SrLmYvHo/HENzVOuTfXq931Exa1B0JAOjr6zNCccZzf1b9UV1dnbW+B4QQki7Sprnv6OjA7bffjkmTJuHzn/88/uM//iMiio7H44HL5cLOnTvTcs0XX3wRN954Iw4fPozVq1fji1/8IpYsWYJDhw4ZZd577z2sXbsWr7/+OiorK3HdddehuLgY999/P26//faIOpuamvDb3/4WK1aswHXXXQen04lbbrkFr732WlLlCCEkHVhppROxlQ8EAti6dSs6Ozvh9XpRVlaG5cuXo6yszBC0/X4/XC7XqAjIqnAuOwvA8M5BPJllpT88Ho9lHzBqDiFkopI2zf3//u//wuFw4NZbb8Xpp59uWWbSpEk47bTT8NZbb6V8vUAggDvvvBNLlizB+vXr4XRar1OefvppHDlyBBs3bsQpp5wCADj//PMRDofR2tqKvr4+TJ06FQCwd+9ePPvss7jmmmtw8cUXAwDKysrwla98BT6fD7fddltC5QghJF1YaaXj1eaL4A7AGCvl72AwiMbGRiPh02iZtNTU1MDr9SIQCKC0tBRdXV2GgN/S0hIzRr30h9jZ632Qyk4HIYRkM2nV3BcXF9sK9sL06dPx/vvvp3y9bdu2oaenB1dddRWcTieCwaAxMagEAgEAQEFBQUQ7nE4ncnKOrW927NgBp9OJ888/3/gtNzcX5eXl6OjowHvvvZdQOUIISSd60iaPxxOXjbnYtLvdbtTV1aG2thZutxv5+flwOBwIhUJob28f1ZCaaqba9vZ21NXVGe1JJLOsnZ097e8JIROVtGnu+/v7cfzxx8cs19fXl5brvfTSS3C5XDh06BAaGhrwzjvvID8/H+eddx6uvfZa5ObmAgDOPPNMPPzww/jhD3+Iyy+/HNOmTUNHRwd+97vfoaqqymRzv2/fPsydOzfCC/mMM84AALzxxhuYOXNm3OXskAVHLCZPnozJkyfHVZYQMv4RbbSq5Y4nKoyV1l/+1m3fUyWR6D7iCyBlk1lY2J1H+3tCyEQlbcL9CSecgL///e9Ry4TDYbz11luYPXt2ytd79913MTQ0hB/84AcoLy/H1VdfjVdeeQWbNm3CkSNHcOONNwIAzj77bFx55ZX43//9X/zpT38yzv/sZz+Lq666ylRnd3c3pk+fHnEt+U1s+eMtZ8c111wT1z1edtlluPzyy+MqSwgZ/6iOse3t7WkRyNMtBCdiDpPOa1stKtIRRpQQQrKNtAn3Z511Fn73u9/h2WefxSc+8QnLMlu3bsXBgwexYsWKlK8XDAbR39+PCy64AF/60pcAAOeeey4GBwexefNmXHHFFZgzZw4AYNasWVi8eDHOPfdcTJs2DS+88AIeeughTJ8+HVVVVUadAwMDlppy2QUYGBhIqJwdd999d1xx7qm1J4RYUVJSEtMm3YrREHZVbfxoocbxVxcVstBobGwEAAr4hJAJQdps7sV+8s4774TP50NHRweAYSH8b3/7G+6991785Cc/wfHHH4+LLroo5euJIK0vJGThINd/9tln8V//9V/46le/ioqKCpx77rm44YYbUFZWZnIykzqPHj0acS0R1uWa8Zazw+VyxfUfhXtCSH19PZYuXYr6+nqTVjwZ9PNHIqKMxOVPRZBOtF12cfxramrgdDoNoZ8QQiYCaRPuZ8yYge9973twu934zW9+g3Xr1sHhcOCPf/wj1q5di//93//Fcccdh+985zsRzq3JUFhYCCDSUVbs/sW2/8knn8Rpp52GGTNmmMr90z/9E/r7+7Fv3z5TnVbOvvKbxOyPtxwhhKRKS0sLQqEQWlpakkr2pKI7maa6WBgpEm2X3FddXV2ESU55eTkdawkhE4q0ZqgtLi7Gj370I3zhC1/AWWedhblz52LOnDn46Ec/is997nP48Y9/jAULFqTlWhKVR7dv7+7uBgC43W4AQE9Pj2UUncHBQQDA0NCQ8dv8+fPxzjvvRDi8vv7668bxRMoRQkiyiPa6uLgYTqcT5eXlpggz8Qq+qhZc16pnUkSZ5uZmlJWVoaysDIWFhXA6nfB4PHGda7VbIAuE0Y4CRAghY01aM9QCwyYnF110UVpMb6KxfPlyNDc3o6WlxTQBbN26FZMmTcKZZ54JAJgzZw7a2trwzjvvYO7cuUa5Z599Fk6nE/PmzTN+W7ZsGR555BFs3rzZiF9/9OhRPPXUU1iwYIERASfecoQQkiwinALArl27jN8TtWnX7c7lt1Qi1ADpt99XzSR3794NYHjXoqSkJKn6x8L2nxBCMoG0C/ejxWmnnYby8nK0tLRgaGgIixcvxiuvvIIdO3bg0ksvNUxjLr74Yvz5z3/G+vXrUVlZiWnTpuH555/Hn//8Z6xcudJkQrNgwQIsW7YM99xzDw4fPowTTzwRra2t6Orqwg033JBwOUIISRY74TRegVyEb4/HY4TOFG1/OpI7pTtJlCS16u3tNbKb6w6yicBQmISQiUrSwn1vby8mT55sihOfKMFgEEePHsW0adOSOr+2thYzZ87EU089heeeew4zZ87Etddea9o1WLx4MW677Tbcf//9ePLJJ9Hb24vZs2fjqquuwiWXXBJR59q1a3Hvvffi6aefRl9fH+bNm4ebbroJixcvTqocIYSMBWpM/PLyclPozHRotNUMs2LykwoijKuLknSF+ySEkImEIywqkgS56KKL8KlPfSolTXVTUxOefvppPProo0nXkU0EAgGsXr0aDz74YFyhMAkhE5eqqip0dnaiqKgorkRVOmp4yGTrsKpTNcWRNopPgAjj1JgTQkh6SUSGTNqhNhwOI8l1ASGEkBik6uxaXV2Nuro6FBUVwePxpCXkpR7FRg012dLSMiKRd0YiXCchhIxnUrK53717N+66666UzieEEBKJaL+9Xi+8Xi9qa2sT1oiLqYto2FO1j9f9ANRkUSNlRuP1euH3++H1eqO2ndloCSFkmJSE+3/84x/4xz/+kVIDHA5HSucTQsh4RQRbANi4cWPSQr4ulCcrCFs5qabbcTXZtqXbwZcQQrKVpIX7ZFKfE0IISY5wOGzEt49XeG1ubobX6wUA06Ig3YJwOrXmettKS0vR0tKC0tLSqOcx9CUhhAyTtHAvceQJIYQkTzTBuLa21jB52blzJwAkJLyqseNVQT7dgrBui5+KoK9H4Wlvb0coFEJ7e3vU8+x2EGiuQwiZaKQ1Qy0hhJDEUAVjNUurmlG2oaEBra2taG1tTUhArampgdvthtvtNgnyVhldU0F1/tUF/UQdYvUsvKk6FqtJvOiUSwiZCCQdCpMkjoQxmjt3LpxO87qqsrISlZWVY9QyQshYoWqW1ay06QpfmSp2pj1W5XTHWtWZN5H7sasr2fanOyQoIYSMNomEwszaDLXZzB133ME494QQAJHmJCJIZ4rtuGra09jYCACWgra6MFEF6GSSXaUzyo/qZ5ApfUoIISMJzXIIISSDcLlcSUXEGSnEtMfhcCAUCtnGsZdygUAA9fX1himObmYTL83Nzejp6YHD4YDH40npHtJthkQIIZkMhXtCCMkQdHv1VElHAqjq6mrU1tZi2rRpEbb7ejkR4vWEVsnYzft8PgSDQYTD4ZjOtIQQQo5B4Z4QQjIEEYJTzSgrQr3X6zU56yZbp5jmuFyuqNpvaX95ebnpPgAkrDnXnYGZqZYQQuKDDrWjSCLOEISQiUsyTqiC6kDqdrvhcrlMzrrJ1plMOMmysjL4/X643W60tramFJYylT4hhJBsJxEZMm2a+0Qy1T733HPpuiwhhIwLVM10suEfVcHe6XSitrbW0JinElIyXTbrqZgdeTweOBwO9PT0UHtPCCFRSJtw/7WvfQ1PPfVU1DL9/f344Q9/iH//939P12UJISRrUQV6PTNrMsK01+tFKBSCw+FAXV2d6fx46lTbU19fj6VLl6K+vj6pe6uvr0dvby/y8/NRW1sLIDGzI90Mp729HeFwGMFgMG0+CYQQMh5Jm3AfDocNwb23tzfi+N69e/G1r30NLS0tOPHEE9N1WUIIyVrUBEsejyelZE0AMDAwAADIy8tDdXV1wnbq6gKjpaUFoVAIW7duTcrWvaWlBeFwGAMDA8aCQhYY7e3tMTX4evIpu4RchBBCzKRNuG9qasKpp56KnTt34oYbbsBLL70EYFjof/DBB7Fu3Tq8++67WLlyJZqamtJ1WUIIyVpqamrgdDoRCoXQ0tKSUrImAMjNzTX9P1EzGDWcZXFxMZxOJ/Ly8pIypSkvL4fT6UR5ebnxmyw24lnIqH0juxnJZOklhJCJRtqSWM2dOxe333477rvvPjz88MP43ve+hwsuuAD79u1DR0cHjj/+eHz1q1/F0qVL03VJQgjJakRIFTv5VJI1iWbd7XajtLTUEKKBxBJi9fX1IRQKobu7G7t27TI5wSZCQ0MDGhoaTO2T+wQQ0ylWTz6VijMuIYRMJNKaoXbSpEm4+uqrcfbZZ+P73/8+fve73wEAPvaxj2Ht2rUoKChI5+UIISTrSVcGVQlXWVRUZJi9ALGFaL0OccaVtugZdBOhubkZXq8XAwMD6O/vRzgcNtUdC7l2fX09tmzZYrSRwj0hhNiT9jj3R44cwZNPPolAIIBwOIxwOIy33noLb7zxRrovRQgh44J0RKNRo+EkGxlHztOdcePByr5fFhySjMrpdCZVd0tLi6mNhBBC7EmrcP/KK6/gq1/9Kv7whz9g/vz5+M///E9UV1fj8OHDuPnmm/Gzn/0MR48eTeclCSFkQiNCNXAsUVSyiwX9vEQi5ljZ94sNf35+Ptxud1KCPXDMfr+iooJae0IIiUHahHufz4fvfve7OHToEC6++GL8x3/8B+bNm4err74aDQ0NmDFjBjZt2oS1a9fizTffTNdlCSFkQqNHlUlnJleJmKNqzu2w2i0QJ9g1a9aklLivoaEBu3btMmz4m5ubUVZWhrKyMsa8J4QQjbRlqF21ahVOOOEErF27FmeeeWbE8UAggB//+Md45plnMHnyZDz88MPpuGxWIdnF5s6dC6fTvK6qrKxEZWXlGLWMEJKtNDc3Y+PGjQiHw3C73QBgygqbCvX19WhpaUF5ebnJOVa/fixH13Rnl5X6ADBjLSFkQpBIhtq0OdQuX74ctbW1mDp1quVxl8uFtWvXYunSpfB6vem6bFZyxx13pKTFIoQQobq6Gl6vF36/P6nzownnesQbK/TkW1Z4PB4cOHDAyC6bimlNc3MzAoEA8vPzkZubSxt8QgjRSJtZTl1dna1gr7J8+XL88Ic/TNdlCSFkwlNbW4uioiLU1taa/h0PXq8XnZ2daGpqsjTnETOf+vp6y+PxOO9aZZdNxHxIz+Tr9/tRUFDAmPeEEGJB2sxySGwS2VIhhJDRoKysDH6/Hw6HA+FwOMLMRUxgJKGUHE8k7ryExARgLDok5n08ZjWqWU9NTQ3j3RNCJhyJyJBpD4VJCCFkdIilVY91XnNzM2pra5Gfn49wOIz8/Hx4PB6Ts6po5svLy43stSLYx5u5Vs8uaxVPPxrq7oAa0SedzsOEEDJeSJvm/tVXX02o/OLFi9Nx2ayCmntCSDqx06rHe56UX7p0qZE51u12G/b7uqZcBPpUNeipZJtVz1XbQ6daQsh4Zkwcar/97W/D4XDEXf7RRx9N16UJIWRCIgKux+PBzp07Da16LIFZFcyB4TjykgEWgBF1RxWgVYHa4/EYf7e1taGxsRHl5eUoKSkx1WsnwKtZbxMV9K3aQ6daQgg5Rto093feeaelcB8Oh3Hw4EH87W9/QyAQwD/90z/huOOOw5o1a9Jx2ayCmntCyEiRbLhJEa49Hg/a29sjhGxV+AaGhetAIAC/34+ioiJ0dXUZJjazZs0y2gAgrvaIzX+8oTtT0foTQki2Miaa+69//etRj/f19eGHP/wh3nrrLdx+++3puiwhhBBEauPjRTThACyF8OrqakM7n5ubi2AwCLfbbZjmtLW1GbHw7TT36US0/mJvTyGfEELMjJpD7dSpU/H1r38dgUAAv/zlL0frsoQQMiFQHU0ToaamxuQoa4Vkqu3v7zfCbMq1SkpKMGvWLABmMxy79uhOsImG7hQSceglhJCJxKhGy8nPz8cZZ5yBXbt2jeZlCSFk3JJqxJjq6mq4XC74/X5bQbm8vBxOpxMrV640tPtq3PnOzk60tLTEJWzrQnkqi5JY8fUJIWQiMuqhMD/44AP09fWN9mUJIWRcIsKy1+tNOBymhLz0eDxRBeWGhgZDKbN06VI0NTWhs7MTjY2N8Hg8cLvdyM3Nhdvtjilsp0sol0UBAIbDJIQQhVEV7nft2oXXXnsNc+bMGc3LEkLIuEWEZQAxNedWmV79fr/hSOvz+dDc3Gy7G6Ca50j4zfb2drhcLgSDQbhcrpga+HjNdeIlXvMcxsQnhEwU0uZQe9ddd9ke++CDD/Duu+/irbfeQjgcxmc+85l0XZYQQiY0qoNpLAdWVRD2eDw4cOAA8vLyUFNTA6/XC7/fj40bN2LatGkmMx2pt7y8HFu3bkVeXh5WrFhhLArUMoB9RBurTLV6zHqfz5eQiU68jsTJ1k8IIdlG2oT73//+9zHLzJw5E5dddhnKysrSddmsZO3atXA6zZsmlZWVqKysHKMWEUKyHTV2vB0ejwddXV1G2MtwOIyCggJUV1cbQrdER1YTVYlQvGnTJrS3t6OzsxPt7e0R0XXUxYCqTfd6vRgYGEB/f79RvxxLNWZ9PPcNJB9NiBBCso20CfcNDQ22xyZPnozp06dj9uzZ6bpcVnPHHXcwzj0hZNRpb283TGl0Ybe2ttakVVcFZq/Xa0TTsRKSm5ub0djYiFAoFCGoi/mP4HA4MG3aNMtEVyOpUR/p+gkhJFNIWxIrEhsmsSKEjCXJJoCSBFlOpxN1dXUR56rHy8vLTcmwxBRnYGAAubm5EQsHQgghsUlEhhz1aDmEEEJSQ5xD6+vrYzqJqmVVwT5WHaoDak1NjeFAqzqu1tfXY+nSpSgsLERRURHq6uoMsx21nMvlwpo1a9Da2hphg08nV0IISS9Ja+6vvfba5C/qcOBnP/tZ0udnK9TcE0LSgaopD4VCKCoqsswuq5YVpGysOuS4/G6l9V+yZAnC4TAcDgeef/55AJG7A3o9Vm1zu91wuVwJ7ygkuxNBCCHZxqho7ru6upL+78CBA8lelhBCJjwS/rK8vDxmzHjRugOA0+k0yno8HjgcDjidTsv49Ho8eqsQlnl5eab/W5WLFtc+kTCeViQb458QQsYzSTvUPvbYY+lsByGEkDhJxDlUyqlOsFVVVQgEAgiHwxgcHDQlFlS14eIQq9ajsmbNmpgRaNTr6/UkEsbTCmlfIBAwkmrZtZUQQiYKdKgdRWiWQwgZa1RTGADo7e1FOBw2TGN6enoQDAaN436/H263G62trQCix7C3M5GJZpqTDtRoPSN1DUIIGUvoUEsIIcTSYVVMYUpLS+FyubBy5UqTaUx/f3/UOu0ywkbLFCvX9Hg8KCsrQ1lZWVQH3kSprq5GXV1dTBMlQgiZCCRtllNfX4+zzjoLl1xyScSxrq4uTJkyBdOmTUupcfHw17/+Fb/+9a+xe/duDAwMoKioCBUVFVi1alVS5Y4ePYr77rsPTz/9NPr6+jBv3jxceeWVKCkpSaocIYSMFSJwq+Yq8p/qaKs6zEqCK6vMs4B9Mij9d12TL9eUmPd6pthUM8gyjj0hhAyTtOb+lVdewf79+y2PXXfddbj77ruTblS8vPjii7jxxhtx+PBhrF69Gl/84hexZMkSHDp0KKlyANDU1ITf/va3WLFiBa677jo4nU7ccssteO2115IqRwghY4VdCEs5JppuVRBvaGgwHGKtnGitfrP63UqTX1NTA7fbHZcDLyGEkCQJJ8mFF14YbmpqSvhYujhy5Ej4yiuvDDc0NISHhoZSLhcOh8Ovv/56uKqqKvzwww8bv/X394evu+668De/+c2Ey1m1paqqKnzkyJF4bpEQQlLmoYceCldWVoYfeugh2zKVlZXhs88+O1xZWZm2uh966KHweeedFz7vvPOiXjsdxHOPhBCSzSQiQ2atzf22bdvQ09ODq666Ck6nE8FgEKFQKOlyALBjxw44nU6cf/75xm+5ubkoLy9HR0cH3nvvvYTKEULISBKPnbqdpl093+PxJKU1j2ZnX11dDZfLBb/fb3m8ubkZZWVlWL58uaUNfrraQQghE42sFe5feukluFwuHDp0CNdffz0uvfRSrF692khznmg5ANi3bx/mzp0b4YV8xhlnAADeeOONhMoRQkg60YX5ZIRatQ45v7293XYBEK2eQCBgaWIjRDO18fl88Pv9CAaDtguAeKFJDyGEHCNph9qx5t1338XQ0BB+8IMfoLy8HFdffTVeeeUVbNq0CUeOHMGNN96YUDkA6O7uxvTp0yOuJb+JjX685ewIBAJx3ePkyZMxefLkuMoSQsY/uoOsnXNrPHXIecnEl5d6JEymXSz8aE6uNTU1JiVLIBBAc3MznWkJISRFsla4DwaD6O/vxwUXXIAvfelLAIBzzz0Xg4OD2Lx5M6644grMmTMn7nIAMDAwYClM5+bmGscTKWfHNddcE9c9XnbZZbj88svjKksIGf/U1NQY8dx9Pl/K2vZUhGI9gVSiUW7Ua0vkHq/XaxsrnxBCSHykJNy3trYaiU1UHA6H7THh0UcfTeXShiD9iU98wvT7ihUrsHnzZnR0dGDOnDlxl5M6jx49GnEtEdalrnjL2XH33XfHlcSKWntCiIpVttlEEG17UVFRysJzqtllAZjCbwJIeqFACCHkGCnZ3IfD4aT/S5XCwkIAQEFBgen3448/HgCMdOrxlpOy77//fsS15LcTTjghoXJ2uFyuuP6jcE8IEcRWHkDCGnthJGzTdYfdRJJR6Tb/tbW1tJ0nhJAUSVpz/9hjj6WzHQlz+umn46WXXsKhQ4dw0kknGb93d3cDgJE6Pd5yADB//ny8/PLLCAQCJs3666+/bhxPpBwhhKQLEYRTMV0ZDdv0RJJR6Tb/tJ0nhJDUydpoOcuXLwcAtLS0mH7funUrJk2ahDPPPDOhcgCwbNkyhEIhbN682fjt6NGjeOqpp7BgwQLMnDkzoXKEEJIKEi6yrKwMhYWFcDqdGBgYyOiwj4nsDkQL00kIISQ5stah9rTTTkN5eTlaWlowNDSExYsX45VXXsGOHTtw6aWXGqYx8ZYDgAULFmDZsmW45557cPjwYZx44olobW1FV1cXbrjhhoTLEUJIKoiNPAB0dHQgFAohNzcXBQUFGWu6Qu07IYSMLY5wOgzgx4jBwUE89NBDeOqpp9Dd3Y2ZM2eisrISF110UVLlgGGn2HvvvRfPPPMM+vr6MG/ePFx55ZU466yzkiqnEggEsHr1ajz44INxOdQSQiY2zc3NpnCRubm5qK2tHVXhWXWYpdBOCCFjQyIyZFYL99kGhXtCSDJIqMiioiJs2rQp5foSEdjTfW1CCCGJk4gMmbU294QQMlFId5SbRDLbxrp2ItFxYpHOugghZKJC4Z4QQjKcdDueJuP0CsBS8E5koRALNSIQhXxCCEkOCveEEDLBSGaxYCfEp2tXQc2eCyCjIwIRQkgmQ+GeEEJITOyE+Fia/XiRyEAul4vJrAghJAUo3BNCyDgnHbbssbT9qZrnqIsHxr8nhJDkoXBPCCHjHBG8GxsbUV9fPyL27KmY5zDcJiGEpA8K94QQMo4RW3aHw4FQKISWlpYRsWdPRdueTqdcQgiZ6GRthtpsZu3atXA6zeuqyspKVFZWjlGLCCHjFbFld7vdcLlc8Hg8aG9vT6s9u2je1boTEfJramoMzb1eJ7X5hBCSGExiNYowiRUhZLQZDSFZEl05nU6EQqGUE141NzejsbExLXURQsh4IBEZkpp7QggZx1RXV4+45ls07+naFfD5fAiFQnA6nYyYQwghCUKbe0IIGcekK+trtHrE3r6hoSEtUW7EObe8vBw+n4/JrAghJAEo3BNCyDgmXc6qo+n0KouF9vZ2OtoSQkiCULgnhJBxjGjBPR5PShr8dGWiTfSabrcbgUCA2ntCCIkTCveEEDKOSZcWPJFQl+kyBaqurobL5YLf76f2nhBC4oTCPSGETACS1bw3NzejrKwMZWVlcQvrqZjwqAsDidHvdrvpWEsIIXHCaDmEEDIBSDZqjsTJl3/HU4dV3PpErqcuDPx+P4qKihjrnhBC4oSae0IIIbaI3Xsi2vNUstWqOwxjYedPCCHZDpNYjSJMYkUIIYQQQhIlERmSmntCCCERJOMUq9vLp8OplhBCSGJQuCeEEBJBMk6x6jmjGRefEELIMSjcE0IIiSAZe3fayxNCyNhDm/tRROyl5s6dC6fTvK6qrKxEZWXlGLWMEEIIIYRkKonY3DMU5hhwxx130KGWEDKiNDc3w+v1AgBqa2tHLZRkc3OzEQazuro64m9CCCEjC81yCCFkHCLx6ZPN7ppM8iq5rmprn6rtvbRj+fLlCbeFEEImIhTuCSFkHJJMfHqVZBcHuq19qrb30o5gMAi/32/sRhBCCLGGZjmEEDIOSTYjLTCsLQ8EAsjPz0dubm5Cgrl+3VTaAQwvDrxer5EllxBCSHSouSeEkHFIKnHmRVteUFCA1tbWtNnKJ9Om6upqtLa2Yv369SgqKkJtbW1a2kIIIeMVCveEEDJOUIXnZGzd5XyPx5O2MJaptkmorq7Gpk2b6JRLCCExoHBPCCHjBFV4TsbWXc5vb29PmyCdapsIIYQkBoV7QgjJYlTNuCo8J6PpTqfwbbULQO07IYSMPBTuCSEki9FNXQKBALxeb1K29rrwnardvroLACDpugghhMQPhXtCCMliRNvu8XjQ2NiYUmx7HRHQGxsbExbK9V2AVOPdE0IIiQ8K94QQksWItr29vR2hUAgOhyPp2PY6NTU1cDqdCIVCCQvl1dXVqKmpgc/nizAZIoQQMnIwzj0hhGQ5Epfe7XajtrY2bTbtUo84w9pd2+fzwePxoL293bCtl/NEW6/b2st5anlCCCGpQ809IYRkORKX3uVypSQoW9nY6xp4q2t3dnaipaUlwoQnmraeZjqEEDIyULgnhJAsJ1WTFxHqvV4vOjs7sXHjRpSVlRlCejRBXK5dXl4eYcIjJkNApDNtTU0N3G43AoEAnWwJISSNOMLhcHisGzFRCAQCWL16NebOnQun07yuqqysRGVl5Ri1jBAykamqqkJnZyfcbjf6+voQCoUAAEVFRdi0aVPcJjR25aR+qS/W74QQQsyIDPnggw/C5XJFLUub+zHgjjvuiPlgCCFktPB4POjq6kJpaSlKSkrg9XoBwNgJqK6ujluotxLSxaxH6lPt9NXrEEIISR0K94QQMsGRSDvt7e1oaGhI2G5fNduxOlddHDQ3N6OxsdHYHaDGnhBC0gtt7gkhZIITj81+tIRWiZzf1NRkhOykxp4QQtIPbe5HkUTspQghJJMoKyuD3++H2+1Ga2trwqEsxb7e4XAgHA5H1GMVSpMQQsgwiciQ1NwTQghJmERDWYp2f+XKlSgqKkJtba2pHgmlydCYhBCSGhTuCSFkAhPN3EaltrbWJJTHG35T6m9rawMAlJSUmBJaqaE0mcGWEEJSh2Y5owjNcggho00s85mRDkcp9UsM/ETDaxJCCKFZDiGEkP/DynxG1daL5tzj8cSlwU8UO808M9QSQsjIkPXC/V//+ld8//vfx2WXXYZLLrkEX/7yl/HYY4/Zln/wwQdx4YUX4stf/rLl8aNHj8Ln8+Fzn/scLrnkEnzjG98wtpOTKUcIIWOJlfmMCNaNjY0AhsNRtre3xxS2m5ubUVZWZspea/Wb/F5VVWXU39DQYGmOQzMcQghJL1kt3L/44ou48cYbcfjwYaxevRpf/OIXsWTJEhw6dMiy/MGDB/HQQw8hPz/fts6mpib89re/xYoVK3DdddfB6XTilltuwWuvvZZUOUIIGUuqq6tNQjUwLFiLmYwI8/EI2z6fD36/H36/H42NjYZpjfwmya+kbLTFglW7CCGEpE7WJrEKBAK48847sWTJEqxfvx5OZ+x1yv/8z/9gwYIFCIVC8Pv9Ecf37t2LZ599Ftdccw0uvvhiAMPh377yla/A5/PhtttuS6gcIYRkIiJQq1ljY2WhBYYXAF6vF729vQiFQmhsbER5eTkOHDgA3X1Lz0pLCCFkdMhazf22bdvQ09ODq666Ck6nE8Fg0Mh4aMWrr76KHTt24LrrrrMts2PHDjidTpx//vnGb7m5uSgvL0dHRwfee++9hMoRQkimkozmvLq6Gq2trVi3bp2h+W9vb8e6detMkXTU+gHY2vLHG6mHEEJI/GStcP/SSy/B5XLh0KFDuP7663HppZdi9erV8Hq9GBgYMJUdGhrCT37yE6xcuRLz5s2zrXPfvn2YO3duhBfyGWecAQB44403EipHCCHjkerqatTV1RlmPNEWCtHMc+SY1+ulkE8IIWkia81y3n33XQwNDeEHP/gBysvLcfXVV+OVV17Bpk2bcOTIEdx4441G2c2bN+O9997DD37wg6h1dnd3Y/r06RG/y29iyx9vOTsCgUDU4x988AHef/99TJo0CTk5WfuICIHT6cT06dMZ+nUMiCfU5NVXX43du3dj8uTJ+MY3vhFTi9/c3GzY1dfW1hohLauqqkxRcNRrRjPPkWOBQMBYANAGnxBCUiNrJcdgMIj+/n5ccMEF+NKXvgQAOPfcczE4OIjNmzfjiiuuwJw5c+D3+3Hfffdh9erVOP7446PWOTAwgMmTJ0f8npubaxxPpJwd11xzTdTjU6ZMQU5ODqZOnYrjjjsuallCsoFzzjkHl156aVy+MSQ96BrzpqYm9Pf3Y+XKlWhoaAAA7N69G8Cx6F9WgrW6SBDnWam/uro64jq6kB7Nll+OqdcghBCSGlkr3Isg/YlPfML0+4oVK7B582Z0dHRgzpw5uPfeezF16lQjJFusOo8ePRrxuwjrcs14y9lx9913W2oyf/Ob3+CFF15AVVUV5s+fj8mTJ8PhcMRsNyGZytDQEPbt24fHH38cALB69eoxbtHEQdWY+3w+BINBAEBLS4sh3C9atMjQ3NsJ1qrwXlNTYywSPB4PmpubEQgE4Ha7UVNTg7a2NnR1daGwsNDQ5lMTTwgho0vWCveFhYX4+9//joKCAtPvop3v6+vDu+++iy1btuDaa69Fd3e3Uebo0aMYGhrCgQMH4HK5MG3aNKNOK5Oa999/HwBwwgknJFTODpfLFSHcBwIB/PnPf8aqVatQVlYW9XxCsgnxc3n88cdx4YUX0kRnlFAj4ng8HvT09KC/vx/l5eVGmXvuuccwtRFzG10YVxcJqqZ+69at2LJlCwDA7XYbx0KhEDo6Oowwm/EI9+oCgosBQghJjawV7k8//XS89NJLOHToEE466STjdxHi3W43Dh06hFAohJ/+9Kf46U9/GlHHtddei1WrVhkRdObPn4+XX34ZgUDAJIC8/vrrxvFEyiWCLAxOPfXUhM8lJNOR9/r999+ncD+KiNAMANu3b7ctI6Y2ktRKFbB1s5qamho0NjZaRieThYDH40F7e3vcZjYMm0kIIekja4X75cuXo7m5GS0tLfB4PMbvW7duxaRJk3DmmWciJycH3/72tyPOvffee/HBBx/guuuuw4knnmj8vmzZMjzyyCPYvHmzEb/+6NGjeOqpp7BgwQLMnDkzoXKJIBPlpEmTEj6XkExH3uto4WpJ+tGFZisnWz12fSztuRzzer0IBAIYGhpCaWmpcSwZzXuy5xFCCIkka4X70047DeXl5WhpacHQ0BAWL16MV155BTt27MCll15qmMbIpKPy2GOPWR5bsGABli1bhnvuuQeHDx/GiSeeiNbWVnR1deGGG25IuBwhhIwlutBsZf6iOrWKwN7c3Gwc1yPkSPnq6mpUVVWhs7MT7e3to39zhBBCLMla4R4YnmhmzpyJp556Cs899xxmzpyJa6+9FhdddFHSda5duxb33nsvnn76afT19WHevHm46aabsHjx4qTKTUTuv/9+/PrXvzb+drvdmDdvHi6//HJ85CMfScs1LrzwQlOG4FS44YYbMH/+fHz9619PQ8uiEw6H0dzcjCeffBJ+vx/z58/Htddei+Li4qjnPfXUU7jrrrsifr/kkktMpgx/+MMf8Ic//AF79+7FoUOHbPvorbfegs/nw969ezE0NGQ8n49+9KMJ39POnTvxb//2b/j5z3+O2bNnJ3w+GT2imb+o9vRerzdqhBy9Po/HY/gKyQKAEELI2JDVwn1OTg4uu+wyXHbZZQmd9+///u+2x3Jzc/H5z38en//856PWEW+5iUpubq4RkePQoUN44IEH8J3vfAdNTU045ZRTUq7/tttuw6xZs1KuZ7Rpbm7G/fffj8997nOYP38+nnjiCdx00034z//8TxQVFcU8/5ZbbjHZrOvO2zt27MCBAwewZMkSbN682bKOw4cP4zvf+Q5mz56NG264ATk5OXj88cdx880344477oia6I1kN9XV1Whra0NjYyPa2tqMb1SwijsvZjsDAwMRWn1Vg2+3ABDiibtPCCEkdRh0mowITqcTxcXFKC4uxrJly/Dd734XQ0ND+N3vfpdSvf39/QCA4uJiFBYWpqOpo8bAwACam5vxmc98Bp/+9Kfh8Xhw4403Ytq0afjNb34TVx2nnXaa0a/FxcUR/h11dXW466678OUvf9m2jvb2dvT09ODGG2/EP/3TP+Hss8/Gt771LTgcDjz33HMp3SPJfFpaWhAKhdDS0hJxTDLN1tbWmrLPtra2oqCgAH6/3zLTbE1NDdxutxESU5AEV/X19WhsbLTNVEsIISR9ZLXmnmQPs2bNwvHHH48DBw4Yvz311FN49NFH8c4772DatGn41Kc+hSuuuMJwvhRTlNtuuw333Xcf9uzZg3/+53/G9ddfb2mW87vf/Q6PPvooDhw4gMLCQqxcuTIicdKePXvwk5/8BH//+99x4oknxkwolk727NmDQCCA5cuXG79NnjwZpaWl2LlzZ1quEU+SqMHBQQAwJUjLzc1FTk4OwuFwzHPvvvtutLa2IhQKYdmyZTjzzDNTazQZVcRXSQ2JqWPl4BrLpMdKGy9mPl1dXQiFQnA6nYyIQwghIwyFezIqBAIB+P1+Q9v+29/+FnfffTcuuugifP7zn8fbb7+Ne++9F6FQKGLyv+2223D++efj0ksvRV5enmX9jz/+OH7605+iqqoKS5YsQUdHB+6//3709fXhC1/4AoDhMIzf+973cMopp2DdunXo6+vDj370IwSDwZjhS0OhUEzBF4ge7Wj//v0AYArdCgAf+tCH8Nhjj6G/v9/2/oSvfOUr8Pv9mDlzJioqKnDxxRcnHGFp6dKlKCgowC9+8QtcddVVmDRpEh555BE4HA6cd955Uc/95S9/iSeffBKXX345TjvtNGzbtg2//OUvE7o+GVsaGhoizHHiIZmINlahMWmSQwghIwuF+3HMX//6V6xbtw6nnHIKGhsbkZMzuo97aGgIAHDw4EH84he/MDS9gUAA999/Py655BJcffXVAICSkhJMnjwZP//5z3HxxRfD7XYb9VxwwQVRBYKhoSE88MAD+MQnPoEvfelLAICzzjoLg4ODeOSRR3DppZfC7Xbj0UcfBQDcfPPNhtZ6xowZ+M53vhPzXh544AGTk7AdkonVir6+PkyePDkig/HUqVMRDofR19dnK9wXFhbi8ssvx4IFCwAAu3btwr333otDhw7h+uuvj9ku/XobN27Erbfeis997nMAgGnTpuHmm2+Oavff29uLJ598EpdccgkuvfRSAMP9vH79esukbmR8koztfElJSVILCkIIIYlD4T4LeeKJJ9DZ2YkrrrgC+fn5tuU2b96Mt956C2+99Rb+9re/GYLhaBAMBvHpT3/a+Hvq1Km4/vrrcdZZZ+HFF1/EBx98gGXLlhkLAADweDwYGBjAW2+9ZTL1WLJkSdRr7d+/H36/H8uWLTP9/v/+3//DQw89hL179+LjH/849u7di49+9KMmcxSPx2NkKI5GRUVFzHaMJGeddRbOOuss09+5ubl49NFH8dnPfjYh/4Oenh40NDSgqKgI1157LZxOJ7Zs2YLvf//72LBhAz70oQ9Znvfmm29iYGAgIoTsueeei9deey25GyNZRzzZZGUBIDt2zDxLCCGjB4X7LOMvf/kLvve97wEYtpO+6qqrbMv+y7/8C7Zv34558+bhtNNOi1rvI488gp///Oe48sorE44+ZEVubi42bNgAh8MBt9uNGTNmGPbgElVjzZo1lucePHjQ9HdBQUHUa/X19VmWk7/leHd3tylpmXD88cdHrR8Apk+fHrMdsZg6dSqOHj2KgYEBk/a+r68PDocDU6dOTai+5cuX45FHHsG+ffsSEu4ffvhh9PX1oampCZMnTwYwvMj58pe/jAceeAA33nij5XmSRVnvh+nTpyfUbpLZxNLMx5NNVhYAbrfbcMwlhBAyOlC4HwPWrl0b4fh47rnnxnXu9OnT4XK5EAgEYoaUPPXUU/HAAw/EVe+vfvUrHDhwAL/85S/TItw7nU58+MMftjwmQuy3v/1tzJgxI+J4orHSRfN++PBh0+89PT2m6xUWFkaUsTrPinSY5Yit/TvvvGOy8d+/fz9mzpwZ094+Xbz99ts46aSTDMEeGPYVmDdvHjo7O23PEyG+p6fHFIJThH4yPoilmY/H9l5dAFBjTwghowuF+zHgjjvuMMUqB4YFrj//+c8xz50xYwYee+wx9PX1RThmpkJNTQ1+8Ytf4IorrkhbnXYUFxcjLy8PBw8etMwgnChz587F8ccfj+3bt5vq+8Mf/oCcnBycccYZAIAzzjgDTz75JI4cOWKY5rS3t6O3tzfmNdJhlrNw4UK4XC5s377dEO4HBwfxxz/+EWeffXbC9f3hD3+A0+mMuSujM2vWLPzpT38y7SAMDQ3hzTffjOpYPG/ePOTm5mLnzp2ma/7xj39MuO0kM2lubkYgEDBCWiYbmz4Z51tCCCHpgcJ9FlJQUJCyiYjOqlWrsGrVqrTWacfUqVNxxRVXwOfz4dChQ1i8eDGcTicOHDiA5557Dt/61rei+hLoTJo0CatXr8ZPf/pTFBQU4Oyzz8brr7+Ohx9+GKtWrTKcc1etWoUnnngCN998M6qrq9HX14f7778/Lpv7E044ISJhVKLk5uaiuroav/71r3H88cfjlFNOwZNPPone3l5TSM9XXnkF3/nOd/C1r33NyPp500034aMf/aiRYOpPf/oTtmzZggsvvNBkFvP3v/8db7/9tvH3W2+9hR07diAvLw8f//jHAQArV67E1q1b8YMf/ABVVVVwOp3YvHkz3n33XXzlK1+xbf+0adNwwQUX4OGHH0ZeXp4RLSeatp9kF5KNVhyrGxsbEQqFaDNPCCFZBIV7MiZ85jOfwQknnIDf/va3ePzxx5GTk4OioiIsWbLEZC4SLxdeeCFycnLw29/+Fk8++SSmT5+Oyy+/3IjqAgyb5dx888346U9/ig0bNuDEE0/E9ddfj1/96lfpvLWoiID0yCOP4PDhwzj11FNx6623RkSpCYVCCIVCxt8nnXQSWlpacPDgQYTDYcydOxfXXnstLrzwQtN527dvN5kPtba2orW1FbNmzcIvfvELAMDpp5+OW265BQ888ACampoQCoVw8skn43vf+x4WL14ctf2f+9znMDQ0hIcffhjhcBjnnHMOPve5z+GOO+5IqV9IZqCa0/h8PsamJ4SQLMQRjid4N0kLgUAAq1evxoMPPmhplnPHHXdg7dq1ttFKCMlW+H5nH8ma5BBCCEk/0WRIHWruCSGEREC7eUIIyU5i56onhBAy4WlubkZVVRWam5vHuimEEEKiQOGeEEJITNQQmYQQQjIXCveEEEJiUlNTw4RUhBCSBdDmnhBCSExog08IIdkBNfcZgmSsHRoaGuOWjG9CoRAOHTpkCjNJRh55r/XMzKly9OhR3H///Th69Gha6yWjD5/l+ILPc3zB55ldULjPECQR0b59+8a4JeObcDiM7u5uMALs6CLvtZpwKx0cPXoUv/71rznhjAP4LMcXfJ7jCz7P7IJmORmCy+XCOeecg8cffxwAcOqpp2LSpElj3KrxRygUwoEDB5Cbm5t2LTKJZGhoCPv27cPjjz+Oc845J2ZsXkIIIYSkBoX7DEKyqYqAT9JPKBTCwYMHMWPGDAr3o8g555xjyhZMCCGEkJGBwn0G4XQ6sXr1alx44YV4//33aRc+AgSDQaxduxY333wz8vPzx7o54x6n04np06dTY08IIYSMEhTux4C1a9eatMZ9fX1YvXo1KisrAQyb6KRLGHriiSeMetNNNtYdCAQAAHPnzh0xgTMb+yWb6x5JsrVPsrXukSZb+yVb6x5JsrVPsrXukSZb+yVT66Zdwhhwxx13wOv1Gv9NnTp1RF+OkSJb6x5psrVfsrXukSRb+yRb6x5psrVfsrXukSRb+yRb6x5psrVfMrVuCveEEEIIIYSMEyjcE0IIIYQQMk6gcE8IIYQQQsg4gQ61o4gkThKnTiEUCkX8li5Ytxmpc6TaDWRnv2Rr3SP9PLOxT7K1bn6b46tufpvjq24+z7GvW/4dTxJOR5ipOkeNgwcP4pprrhnrZhBCCCGEkCzk7rvvxowZM6KWoXA/ioRCIXR3d2PKlClwOBxj3RxCCCGEEJIFhMNhfPDBBygsLIyZhJPCPSGEEEIIIeMEOtQSQgghhBAyTqBwTwghhBBCyDiBwj0hhBBCCCHjBIbCJOOeo0eP4r777sPTTz+Nvr4+zJs3D1deeSVKSkqinrd37160trbi5ZdfRldXF6ZNm4YFCxbgqquuwty5c0ep9UQn2ecJAB988AF+85vfYO/evdi7dy/6+vrwta99Df/8z/88Ci2fuKTyzFI5l4wMyT4Tfn+ZSTLPk/NjZkPNPRn3NDU14be//S1WrFiB6667Dk6nE7fccgtee+21qOc9/PDD+OMf/wiPx4PrrrsO559/Pl577TWsWbMGb7311ii1nugk+zwBwO/344EHHsDbb7+N+fPnj0JrCZDaM0vlXDIyJPtM+P1lJsk8T86PGU6YkHHM66+/Hq6qqgo//PDDxm/9/f3h6667LvzNb34z6rm7d+8ODwwMmH575513wp/5zGfCt99++4i0l0QnlecZDofDAwMD4e7u7nA4HA7v3bs3XFVVFW5paRmx9pLUnlmqz5ukn1SeCb+/zCPZ58n5MbOh5p6Ma3bs2AGn04nzzz/f+C03Nxfl5eXo6OjAe++9Z3vuwoULMXnyZNNvc+bMwcknn4y33357xNpM7EnleQLA5MmTMX369JFuJlFI5Zml+rxJ+knlmfD7yzySfZ6cHzMbCvdkXLNv3z7MnTsXLpfL9PsZZ5wBAHjjjTcSqi8cDqOnpwdutzttbSTxk+7nSUaeVJ4Zn3fmwWcyvkjn8+T8mDlQuCfjmu7ubktNkfx26NChhOp75plncOjQIfy///f/0tI+khjpfp5k5EnlmfF5Zx58JuOLdD5Pzo+ZA6PlkKwhFAphcHAwrrKTJ0+Gw+HAwMBAxNYhMLztCAADAwNxX//tt9/Gj3/8YxQXF6OsrCzu84g1Y/08yeiQyjPj8848+EzGF+l6npwfMwsK9yRreO211/Dtb387rrJerxcf+tCHkJubi6NHj0YclwFLBrBYvP/++7j11lvhcrmwfv16TJo0Kf6GE0vG8nmS0SOVZ8bnnXnwmYwv0vE8OT9mHhTuSdZw0kkn4Wtf+1pcZQsLC43/W20rvv/++wCAE044IWZdR44cwc0334wjR45gw4YNcZ1DYjNWz5OMLqk8Mz7vzIPPZHyR6vPk/JiZULgnWcP06dMTTnYyf/58vPzyywgEAiaHoddff904Ho2BgQF8//vfxzvvvIMf/OAHOPnkkxNvOLFkLJ4nGX1SeWZ83pkHn8n4IpXnyfkxc6FDLRnXLFu2DKFQCJs3bzZ+O3r0KJ566iksWLAAM2fONH4PBoN4++23cfjwYQDA0NAQGhsb0dHRgfXr16O4uHjU20/MpPI8ydgQ7zOzel6JPG8yOqTyPEnmkezz5PyY2VBzT8Y1CxYswLJly3DPPffg8OHDOPHEE9Ha2oquri7ccMMNprJ/+ctf8O1vfxuXXXYZLr/8cvzP//wP/vSnP2Hp0qXo7e3F008/bSp/3nnnjeatEKT2PIVNmzbhyJEjxlb0rl27jH9XVVXhuOOOG70bmgDE+8ysnlciz5uMDqk8T4DfX6aR7PPk/JjZULgn4561a9fi3nvvxdNPP42+vj7MmzcPN910ExYvXhz1vH379gEYnnx27doVcZyD19iQ7PMUHnnkEXR1dRl/79y5Ezt37gQAfPKTn6RwMQKk8sxSfd4k/aTyTPj9ZR7JPE/Oj5mNIxwOh8e6EYQQQgghhJDUoc09IYQQQggh4wQK94QQQgghhIwTKNwTQgghhBAyTqBwTwghhBBCyDiBwj0hhBBCCCHjBAr3hBBCCCGEjBMo3BNCCCGEEDJOoHBPCCGEEELIOIEZagkhJIu58MILTX87HA64XC6ccsopKCsrw8qVK+FwOIzjd955J1pbW/Fv//ZvOPPMM0e7uSPO/fffj1//+tfG3yeffDL++7//2/j7wIEDuPbaazFr1iz84he/iPhdJScnB8cddxxmzJiB008/HcuWLcPHPvYxU38KfX19uOyyy0y/jdc+JoRkNhTuCSFkHFBWVgYACIVC6OzsxJ49e7B79268/PLLuPHGG8e4daPPwoULceKJJ2LGjBkJnZefn49zzz0XwHBfHjlyBG+99Ra2bNmCLVu24PTTT8c3v/lNzJ0713ReTk6O8Qz27NmDf/zjH+m5EUIISRAK94QQMg74+te/bvq7ra0Nt9xyC5599lmsWLECS5cuHaOWjQ0rV67EP//zPyd8ntvtjuhLAHjjjTfw85//HC+//DLWr1+PO+64AzNnzjSO5+fnG+fdeeedFO4JIWMGbe4JIWQcUlJSgvPOOw8A8Nxzz41xa7Kf+fPn49Zbb0VJSQl6enrws5/9bKybRAghllBzTwgh45RTTz0VAHDw4EHL46+++ip+/etf4y9/+QsA4CMf+QiuueYanHzyyaZyfX19ePrpp/H8889j//79eP/99zFlyhR8+MMfxqc//WmUlJRE1P3BBx9g06ZNePbZZ9HV1YVQKISCggKcdtppWLlyJc466yxT+WAwiMcffxzbt2/Hu+++CwA45ZRTcMEFF+BTn/pUyn2RDiZNmoTrr78e119/PZ577jl0dXVh1qxZY90sQggxQeGeEELGKR988AEAYPLkyRHHdu3ahcceewwf/vCHcfbZZ+ONN97ACy+8gNdffx3//d//jenTpxtlX3/9dfz0pz/FrFmzMHfuXBQXF+O9995DW1sb2tra8NWvfhXl5eVG+aGhIXz3u9/F66+/DrfbjTPPPBOTJ0/GoUOH8MILLyAvL88k3Pf09OC73/0u3nzzTUyfPh2LFy9GOBxGR0cHmpqa8Ne//hVf+tKXRrCn4mfOnDk47bTT8Ne//hWvvvqqYWdPCCGZAoV7QggZh4TDYTz//PMAgHnz5kUcf+yxx7B+/XqUlpYCGBbIGxsb8cc//hFPPPEErrzySqPs3Llzcdttt6G4uNhUx9/+9jfU19fj5z//OZYvX44pU6YAAF577TW8/vrr+PCHP4wNGzYgNzfXOCcQCBiaeeGuu+7Cm2++iVWrVqGmpsZYjLz//vu49dZbsWnTJnz84x/H2WefnXrHpIFTTz0Vf/3rX7F///6xbgohhERAm3tCCBlHDA0N4d1338Vdd92Fjo4OTJ482dKx9BOf+IQh2APDJieXXnopgGHhXKWoqChCsAeA0047DZWVlQgEAnjllVeM3w8fPgxgOGKNKtgDgMvlwumnn278vW/fPrzwwgv48Ic/jC984QumXYbp06fjK1/5CgDgd7/7Xdx9MNK43W4Aw+ZKhBCSaVBzTwgh4wA93j0ATJkyBV//+tdx4oknRhyzspOfM2cOgGGNuc7Q0BDa29vR0dGB7u5uHD16FACMqDCqNv7UU0+F0+nE73//e5x88skoLS01BGKdtrY2AMA555wDpzNS33TaaadhypQp2Lt3r+X5Y0E4HB7rJhBCiC0U7gkhZBwgtt9Op9NIYnXuuedi6tSpluVPOOGEiN9cLhcAGIK7cPDgQdx666144403bK8v9v3AsBlPTU0N7rnnHvzXf/0XvF4vTj75ZHg8HnzqU5/C/PnzjbIHDhwAAPzqV7/Cr371K9v6BwYGbI+NNn6/HwAwbdq0MW4JIYREQuGeEELGAVax2aNhpSW344c//CHeeOMNnHvuubjkkkswd+5cTJkyBU6nE5s3b8Z///d/R2izP/OZz2D58uV47rnn8NJLL+G1117Do48+isceewzXXnstVq1aBeCYFnzRokUoKipK6B7Gin379gEAPvShD41xSwghJBIK94QQQmwJBoN46aWXUFBQgLq6OkyaNMl0vLOz0/bcmTNn4sILL8SFF16IoaEhPPvss7jrrrtw9913o6ysDFOnTjUyyJ5zzjn4zGc+M6L3kg7effdd7Nu3D06nE4sXLx7r5hBCSAR0qCWEEGLLkSNHEAqFUFhYGCHYDw4Oxp0ga9KkSTjvvPPw4Q9/GIODg4aN/sc+9jEAwM6dO9Pa7pFgaGgIP/7xjxEOh1FaWmosTAghJJOgcE8IIcSWgoICHHfccXjrrbewe/du4/ehoSH4fD688847Eee8/PLLeOmllxAKhUy/d3Z24u2334bD4TBs/hcsWICPfexj2LNnD370ox8hEAhE1PfGG2/gz3/+c5rvLDHeeOMN3HTTTWhra0NhYSGuu+66MW0PIYTYQbMcQgghtkyaNAkXX3wxfvWrX+Fb3/oWPvrRj2LatGl4/fXX0dPTg8rKSjzxxBOmc9544w38/Oc/x/HHH4/TTjsNbrcbhw8fxquvvoqjR4+iqqrK5ND7jW98A9/73vfw5JNPYtu2bTj11FNRWFiII0eO4M0338TBgwexatWqtMa5dzgclr/7/X7ceeedAIBQKIRAIIC///3vhvnRhz/8YXzzm9+0dEgmhJBMgMI9IYSQqHz2s5/FjBkz8Oijj2LPnj3Izc3FokWLcMUVV+Bvf/tbRPklS5agt7cXL7/8Mt588034/X4cf/zxWLRoEf7lX/7FFF8fGN4duO2227Blyxb84Q9/wL59+7Bnzx4UFBSgqKgIF154IT7xiU+k5V4k6k5+fr7l8WAwiNbWVgBATk4OXC4XZs6ciYqKCixbtgwf+9jHbBcGhBCSCVC4J4SQLObxxx9PqPzXv/71qJF17OorKyszwm2qzJ8/PyJJ1pw5c0wZbuMhNzfXcL4dSST05syZM02/z549O+G+JISQTITCPSGEkHHH1q1b8corr2DGjBm46qqrAAw7AEum2zPPPDOt1wsGg/jRj34EANizZ09a6yaEkESgcE8IIWTcsWfPHuzZswcnn3wyPvnJT+KBBx7AX/7yF/zjH//ACSecgJUrV6b1eoODg4Y5DyGEjCWOMPNoE0IIGce88sorqK+vh9vtxsc+9jFcddVVmD179lg3ixBCRgQK94QQQgghhIwTGOeeEEIIIYSQcQKFe0IIIYQQQsYJFO4JIYQQQggZJ1C4J4QQQgghZJxA4Z4QQgghhJBxAoV7QgghhBBCxgkU7gkhhBBCCBknULgnhBBCCCFknEDhnhBCCCGEkHHC/we8uYfGITAS8wAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.fold(period).scatter(label=f'Period = {period.value:.3f} d');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "4jMtNuOB_ZiN" }, "source": [ "This doesn't look quite right — it seems like there are two transits of different depths overlapping. The largest peak in the spectrum must be a harmonic of the true period. In fact, what seems to be happening here is that both transits are being interpreted as resulting from the same signal, when in reality the two transits will have slightly different depths and shapes.\n", "\n", "Let's try this again, but at double the period value we just measured instead." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 387 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:47.493691Z", "iopub.status.busy": "2023-11-03T14:26:47.493572Z", "iopub.status.idle": "2023-11-03T14:26:47.669077Z", "shell.execute_reply": "2023-11-03T14:26:47.668745Z" }, "executionInfo": { "elapsed": 1130, "status": "ok", "timestamp": 1599618393438, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "4YjA5Y_sjKWS", "outputId": "6f85f727-e416-43f0-e1b4-db6f9a3fdd3b" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.fold(2*period).scatter(label=fr'Period = {2*period.value:.5f} d');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "YWReUlLGjf1J" }, "source": [ "This looks much more sensible! We can see that the two different transits have separated out, and that their differences are clearly visible.\n", "\n", "While the precision on the period still has something left to be desired (as there is still a lot of scatter around the transits), it would be fair to say this eclipsing binary pair has an orbital period of roughly one day." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Iqr53NKTkJJ1" }, "source": [ "## Exercises\n", "\n", "Finding the period of this eclipsing binary is all good and well, but it's not yet very precise, as the [fold()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.fold.html?highlight=fold) plot indicates. Using keyword arguments of the [to_periodogram()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.to_periodogram.html?highlight=to_periodogram) function, we can improve this estimate. Try one or both of the following:\n", "- Use the `minimum_period` and `maximum_period` arguments to limit the range of the periodogram to the area around the peak we are interested in.\n", "- Increase the `oversample_factor` argument from the default value of 1, which increases the resolution of the periodogram (this is at the expense of correlating the power values, but that is not a problem for the type of analysis we're doing here).\n", "\n", "Tip: you can plot a periodogram in power-period space by using `plot(view='period')`." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": {}, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:47.671013Z", "iopub.status.busy": "2023-11-03T14:26:47.670782Z", "iopub.status.idle": "2023-11-03T14:26:47.672769Z", "shell.execute_reply": "2023-11-03T14:26:47.672466Z" }, "id": "fn2LT0AQ_ixd" }, "outputs": [], "source": [ "#pg = lc.to_periodogram(minimum_period = ..., \n", "# maximum_period = ...,\n", "# oversample_factor = ...)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 390 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:47.674537Z", "iopub.status.busy": "2023-11-03T14:26:47.674318Z", "iopub.status.idle": "2023-11-03T14:26:47.862780Z", "shell.execute_reply": "2023-11-03T14:26:47.862433Z" }, "executionInfo": { "elapsed": 1033, "status": "ok", "timestamp": 1599618435642, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "SgUg_PHQlyhI", "outputId": "b766630f-ea61-40d8-afff-9b99a0355d5f" }, "outputs": [ { "data": { "image/png": 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vVFWaNWuGoKAgnDp1CpMmTYKrqys6d+7MXuSksWrWrIn58+dj+vTpmDt3Lvz8/PJdbJjLy8sL3t7e8PDwQN++fRU39Llz5w5+/fVXeHh4FFqIp6en49q1awDeFe2pqakICwsD8O5se+787IEDByIgIAC1atVS3NAnIiICixcvVox15swZbNmyBV26dEHNmjURHh6uWGdhYaEYq3v37jh8+DDmz58PV1dXZGVlYdu2bahVqxYcHR0BvJsz/t9OLCEhIXj16lWeDifF3We/fv1w9uxZLF26FJ9//jmePn2KX375BUOGDFH8IfH8+XP4+vrC0tISXbt2zTOWsbExLCwsCjtcSsFCvAiBgYFsX0hE5erq1avYsGED+vfvDzc3NxaW7yGRSNCtWzd06tQJW7duxeHDhzFhwgStu3iVdEe9evUwd+5czJo1C/Pnz8f8+fML3M7S0hLBwcHYt28fjh49itjYWOjr66NBgwYYPXo02rZtW+g+kpKS8hTTABTfL1q0SFH0du7cGW/fvsXPP/+Mn3/+GbVr14a3t3ees8k3btwA8K44PnPmTJ4xJ06cqDjDbWhoCF9fX6xfvx4BAQGQSCT48MMPMWrUqBJfFFncfVpaWmL+/PnYuHEjfHx8YGxsjEGDBuW5Sc+DBw+QkpKClJQUTJ06Nc9YTk5O8PDwKFG2kpLI5XK5SvegoVJTU+Hq6ordu3ezECeicpGYmIiVK1eiUqVK+O677wq80QS934sXLxAYGAhbW1sMHTq03O4gSuXn+fPnCAwMhKenp0b0yiftVNTPYXHryKJvrURERColl8tx7NgxeHt744svvsDkyZNZhJdSrVq1sGTJElhaWsLd3T3Px8xEROqGpwqIiARKTEzEsmXLUK9ePaxYsYJncJVAIpGgR48eaNeuHYKCglCrVi2MHj1accMQIiJ1wTPiRESCXLp0CTNmzMDAgQMxevRoFuFKZmJiggULFqBp06aYNGkSnjx5IjoSEVEe/F+fiKicpaenY9WqVcjJyUFQUFC53L1Nl3Xt2hV2dnbw8/ODo6MjvvjiC14AS0RqgWfEiYjK0bNnz+Dp6YmOHTti6tSpLMLLSY0aNRAQEIDk5GR4e3sjMTFRdCQqpdyWwtnZ2YKTkC7L/fn7b4vrkuIZ8SKwjzgRKcupU6dw8OBBzJ07lzfmEUAqlWLo0KG4f/8+pk+fjvHjx/MOyxoo92YwkZGRbFNJwkRGRgJAoTddKi4W4kVgH3EiKqvMzEysXLkSEokEgYGBnAsuWJMmTbB06VIsXLgQ7du351QVDWNoaIgOHTrg8OHDAIAGDRqgQoUKglORrsjOzkZkZCQOHz6MDh06lLlG5G8DIiIVevXqFebPn4++ffvCyclJdBz6/6pUqQI/Pz9s2rQJCxcuxJQpUzhNSIP0798fABTFOFF569Chg+LnsCxYiBMRqcj9+/exfPlyTJ8+nR+hqyGpVIqRI0fi4sWL8PT0xOzZs1V+O2tSDqlUCldXV/Tq1QsJCQnIyckRHYl0hFQqRfXq1ZU2W4KFOBGRCoSEhOC3337DkiVLYGxsLDoOvUfHjh1Rr149zJ8/H2PHjlXc3pvUn6GhIaePkkZj1xQiIiXKycnBjz/+iJs3b8Lf359FuIawtLTE0qVLsWXLFhw/flx0HCLSESzEiYiUJCMjA3PnzoWZmRkmT57MizI1jJGREfz8/HDnzh2sW7cOcrlcdCQi0nIsxImIlODNmzeYNm0aevTogS+//FJ0HColPT09eHl5oXr16pg3bx4yMjJERyIiLcbTNUVgH3EiKsrLly/h4+ODcePGwc7OTnQcUoL+/fvDwsIC06dPx4IFC1C5cmXRkYhIC7EQLwL7iBPR+zx69AjLli3DrFmzULt2bdFxSIk6deqEqlWrYurUqZg/fz5MTU1FRyIiLcOpKUREpfTnn38iKCgIixYtYhGupZo3b47Jkydj5syZiIqKEh2HiLQMC3EiolK4cuUKNm3aBH9/f5iYmIiOQypUv359+Pj4YNGiRXjw4IHoOESkRViIExGV0Llz57B3714sXryYc4d1RM2aNeHn54eVK1fizp07ouMQkZZgIU5EVAInTpzA8ePHsWjRIt4SXccYGxtj8eLFWLduHW7evCk6DhFpARbiRETFdOjQIVy6dAk+Pj7Q19cXHYcEMDIywuLFi/G///0PV65cER2HiDQcC3EiomI4dOgQbt++jVmzZvFGPTrO0NAQfn5+2LNnDy5cuCA6DhFpMP42KQL7iBPRkSNHcPv2bcyYMSPf/wekmwwMDLBo0SLMnj0bcrkcjo6OoiMRkQZiIV4E9hEn0m2//vorbty4gZkzZ7IIpzxkMhkWLFiAmTNnQk9PDx07dhQdiYg0DH+rEBEV4rfffsO1a9fg7e3NIpwKJJPJsHDhQuzbt49zxomoxDT+jPijR4+wc+dO3Lt3DxkZGahVqxY+/fRT9O7dW7FNZmYmtm/fjtOnTyM5ORnW1tYYPHgwWrVqJTA5EamzkJAQXLlyBbNnz0aFChVExyE1VrFiRSxcuBAzZsxAhQoV0Lp1a9GRiEhDaPQpnuvXr2PKlClISkqCq6srvv32W7Rt2xZxcXF5tgsODsaBAwfQuXNnjB49GlKpFD4+Prh7966g5ESkzsLCwnDq1CnMmjWLRTgVS+6c8a1bt7K1IREVm8aeEU9NTUVQUBDatm2L6dOnF/qxcUREBM6dO4cRI0agX79+AAAnJyeMHz8emzdvxtKlS8szNhGpuevXr2Pfvn1YvHgxu6NQiVSqVAmLFi3CtGnTMG7cONja2oqORERqTmPPiJ89exaJiYkYMmQIpFIp0tPTkZOTk2+7sLAwSKVS9OjRQ7FMJpPB2dkZ4eHhiI2NLc/YRKTG7t+/j82bN8PX1xcymUx0HNJAhoaGWLhwIVasWIGnT5+KjkNEak5jC/GbN2/C0NAQcXFx+O6779C/f3+4urpizZo1yMjIUGwXGRkJKyurfJ1PGjduDAB4/Pjxe/eTmpparK/MzEzlP0kiKjeRkZFYuXIlfH19UalSJdFxSIMZGxvDx8cHfn5+ePnypeg4RKTGNPZz17///hvZ2dlYuHAhnJ2dMXToUNy+fRtHjhxBSkoKpkyZAgCIj49H9erV8z0+d9l/55P/14gRI4qVZ+DAgRg0aFAJnwURqYMXL17A398fvr6+qFKliug4pAXMzc0xa9YszJs3D35+fqhWrZroSESkhjS2EE9PT8fbt2/x2WefYcyYMQCAjz76CFlZWTh27Bi++eYbWFpaIiMjo8BbUed+7Pzvs+cF2bRpU7H6iPN210Sa6fXr1/Dx8cGsWbNgamoqOg5pkdq1a8PT0xOzZs3CkiVLULlyZdGRiEjNaOzUlNxC+uOPP86zvHPnzgCA8PBwxXYFTRvJLcCLmgdqaGhYrC8W4kSaJz09HbNnz8bEiRNRu3Zt0XFICzVq1AijR4/GnDlzkJWVJToOEakZjS3ETUxMACDfx33GxsYAgOTkZMV2CQkJ+R6fu4xnwIh0U3Z2Nnx8fDBw4EB2tyCVatGiBXr27IlFixZBLpeLjkNEakRjC/GGDRsCyD/HOz4+HgBQtWpVAED9+vURHR2N1NTUPNs9ePBAsZ6IdItcLseyZcvg6OiIDh06iI5DOqBr166wtbXF2rVrRUchIjWisYV4p06dAAAnT57Ms/zEiROoUKECmjVrBgBwcHBATk4Ojh07ptgmMzMTISEhsLGxgbm5efmFJiK1sHXrVtSsWROff/656CikQwYMGIDMzEz88ssvoqMQkZrQ2Is1P/jgAzg7O+PkyZPIzs6Gvb09bt++jbCwMPTv318x5cTGxgYODg7YsmULkpKSYGFhgdDQUMTExMDd3V3wsyCi8nbmzBk8f/4c3t7eoqOQDho/fjx8fHxgbm4OR0dH0XGISDCNLcQBYOzYsTA3N0dISAguXboEc3NzjBo1Cn369MmznaenJ7Zt24bTp08jOTkZ1tbWmDNnDuzt7QUlJyIRwsPDcfDgQfj7+0MikYiOQzpIKpVi5syZmDp1KszNzXl9ApGOk8h55UiBUlNT4erqCisrK0ileWfwuLi4wMXFRVAyIiqNmJgYzJkzB0uWLFFc1E0kSlJSEqZNm4aFCxfCzMxMdBwiUrLcOnL37t3vbYOt0WfEy0NgYGCx+ogTkfpKS0vDvHnz4O3tzSKc1IKxsTGmT5+OefPmYdmyZTAwMBAdiYgE0NiLNYmIiiMnJwfz58/HyJEjUbduXdFxiBSsra0xZMgQ+Pr6sq0hkY5iIU5EWm3lypX46KOP0Lp1a9FRiPJp3749WrRogXXr1omOQkQCsBAnIq114MABVKhQAb169RIdhahQX331Fd68eYPjx4+LjkJE5YyFOBFppRs3buDy5csYO3as6ChERZo0aRJOnjyJO3fuiI5CROWIhTgRaZ2XL19i3bp1mDVrVr6uR0TqSE9PD/PmzcPq1avx4sUL0XGIqJzwNxQRaZW3b99iwYIFmDFjBipXriw6DlGxGRkZYebMmViwYAHS09NFxyGicsD2hUXw9PRkH3EiDSGXy7F06VJ8/fXX7JBCGql27doYOnQoFi9ejLlz5/LGU0RajoV4EdhHnEhz7Nu3DxYWFujUqZPoKESl1r59ezx48AC7d+/G119/LToOEakQp6YQkVa4efMmrl+/Djc3N9FRiMpsyJAhuHPnDq5fvy46ChGpEAtxItJ4L1++xI8//oiZM2fyo3zSChKJBN7e3tiwYQNiYmJExyEiFWEhTkQaLSMjAwsXLuTFmaR1DA0NMX36dCxYsAAZGRmi4xCRCrAQJyKNtnTpUri6uvLiTNJKdevWxYABAxAQECA6ChGpAAtxItJYhw8fhpmZGS/OJK3m6OgIU1NTHDhwQHQUIlIyFuJEpJEePXqEM2fOYNSoUaKjEKncqFGjcPHiRd55k0jLsH1hEdhHnEj9pKSkICAgAL6+vqhQoYLoOEQqJ5VKMWvWLEydOhV+fn6oVq2a6EhEpAQsxIvAPuJE6kUul2Px4sUYM2YMTExMRMchKjdVqlTBpEmT4OvriyVLluQ7SUREmofvYiLSKD///DMaNWqEli1bio5CVO5sbGzQoUMHbNmyRXQUIlICFuJEpDHu3buHa9euYciQIaKjEAnTr18/PH78GDdu3BAdhYjKiIU4EWmE169fY8WKFfD29uZNe0inSSQSTJ06FevWrUN8fLzoOERUBizEiUjtyeVy+Pr6wt3dHVWrVhUdh0i4ypUrw9PTE76+vsjJyREdh4hKiYU4Eam9bdu2oXXr1mjatKnoKERqo1GjRnB0dMRPP/0kOgoRlRILcSJSa3fu3EF4eDj69+8vOgqR2unTpw+io6Nx9epV0VGIqBTYvrAI7CNOJE5ycjJWrVoFf39/zgsnKoBEIsGUKVPg5eWF+vXrw9TUVHQkIioBFuJFYB9xIjHkcjmWLl2K7777jvPCid7D0NAQkydPhq+vL5YtW8b+4kQahO9WIlJLv/76K+rUqcN+4UTF8MEHH8DR0ZH9xYk0jMaeEb99+za8vb0LXLd06VLY2toqvs/MzMT27dtx+vRpJCcnw9raGoMHD0arVq3KKy4RlcDTp09x6tQpLFu2THQUIo3Rt29fzJo1C3fu3IG9vb3oOERUDBpbiOfq1asXGjVqlGeZhYVFnu+Dg4MRFhaG3r17w9LSEqdOnYKPjw98fX1hZ2dXnnGJqAgZGRlYsmQJ5s6diwoVKoiOQ6QxJBIJpk2bhqlTp2LZsmUwMjISHYmIiqDxhbidnR0cHBwKXR8REYFz585hxIgR6NevHwDAyckJ48ePx+bNm7F06dLyikpExbBq1SoMGDAANWvWFB2FSONUrVoVY8aMwbJlyzBv3jzRcYioCFoxRzw1NRXZ2dkFrgsLC4NUKkWPHj0Uy2QyGZydnREeHo7Y2NjyiklERbhw4QKys7PRpUsX0VGINFarVq1gYWGB3377TXQUIiqCxp8RX758OdLS0iCVSmFnZ4cRI0bkmaoSGRkJKyurfJ1PGjduDAB4/PgxzM3NyzUzEeX36tUr7NixA0FBQaKjEGm8kSNHwtPTE82bN0ft2rVFxyGiQmhsIa6np4ePPvoIbdq0QdWqVfHs2TPs378f06dPh7+/Pz744AMAQHx8PKpXr57v8bnL4uLi3ruf1NTUYuXR19eHvr5+CZ8FEQFATk4O/Pz8MHnyZFSsWFF0HCKNp6enhxkzZsDX1xfBwcHQ09PYX/dEWk1j35lNmjRBkyZNFN+3b98eDg4OmDBhArZs2QIfHx8A7y78KqhAlslkivXvM2LEiGLlGThwIAYNGlTc+ET0L3v27EG7du3QoEED0VGItIaFhQX69u2LtWvXYvz48aLjEFEBNLYQL4ilpSU6dOiA33//HdnZ2ahQoQJkMhkyMzPzbZtbgOcW5IXZtGlTsW7ow7PhRKXz119/4erVq7xwmkgFunXrhsuXL+Py5cto37696DhE9B9aVYgDgJmZGbKysvD27VsYGhrCxMSkwOknCQkJAFDk7YANDQ15Z00iFcnIyEBAQADmz5/PW9gTqYinpyc8PDxga2sLY2Nj0XGI6F+0omvKv7148QIymQwGBgYAgPr16yM6OjrfXO8HDx4o1hORGGvXrkX//v1hZmYmOgqR1qpUqRLGjx+PZcuWQS6Xi45DRP+isYV4UlJSvmWPHz/GlStX0KpVK0il756ag4MDcnJycOzYMcV2mZmZCAkJgY2NDTumEAly7do1vH79Gl27dhUdhUjr2dvbo27dunl+FxKReKWemhIaGqq0EE5OTiV+jL+/P2QyGWxtbVGtWjU8e/YMx48fR8WKFTFs2DDFdjY2NnBwcMCWLVuQlJQECwsLhIaGIiYmBu7u7kp7DkRUfG/evMH69esREBAgOgqRzhgxYgQ8PDzQqlUr1KpVS3QcIkIZCvHg4GClzeksTSHevn17nD17FgcPHkRqaiqMjY3RsWNHDBw4EJaWlnm29fT0xLZt23D69GkkJyfD2toac+bMgb29vVLyE1HJLFu2DGPHjkXlypVFRyHSGXp6epgyZQoWL16MwMBAxSfHRCROmS7WtLa2RocOHUr9+EuXLuHJkyelemzv3r3Ru3fvYm0rk8ng5uYGNze3Uu2LiJTn2LFjsLS0RPPmzUVHIdI5devWhaOjI3bs2IHBgweLjkOk88pUiDdo0AADBw4s9eNfvnxZ6kK8vHh6euY7a+Di4gIXFxdBiYg018uXL/Hrr7/y7plEAvXr1w/Tpk3Dw4cP89yJmojKX6kLcUNDwzLfAU8mk6FSpUplGkPVAgMD2b6QSAnkcjn8/f3h5eXFu/wRCSSRSDB16lTMmTMHwcHBRd5Pg4hUp9QTxHbt2oXvvvuuTDsfO3Ysdu3aVaYxiEgz7Nu3D23atIG1tbXoKEQ6z8zMDAMGDMAPP/wgOgqRTuOVGkSkclFRUbhw4QJcXV1FRyGi/69Lly5ITk7G1atXRUch0lksxIlIpXJycrBs2TJMmTKFXRqI1MykSZOwYcMGJCcni45CpJNU/luxT58+qt4FEamxXbt2wdHREVZWVqKjENF/VK5cGaNGjcKKFStERyHSSSovxHk7XSLd9eTJE1y/fh39+vUTHYWICtGmTRvIZDJcvHhRdBQinaPyQlxZN/0hIs2SlZWlmJLC/weI1Nu4cePwv//9D2/evBEdhUinFLuH2NGjR/HZZ5+pMotaYh9xotLZunUrevTogZo1a4qOQkRFqFSpEr777jsEBQVhzpw5ouMQ6YxiF+K//fabThbi7CNOVHIPHz7EgwcPMHz4cNFRiKiYWrZsiTNnzuD8+fNwdHQUHYdIJxR7agrnehNRcWRmZiIoKIhTUog00HfffYcdO3YgMTFRdBQinVDsQpy/UImoODZu3Ih+/frB1NRUdBQiKiEDAwOMGzcOgYGBoqMQ6QQ29SUipbl79y6io6PRrVs30VGIqJTs7e1Rs2ZNhIaGio5CpPXKrRA/d+4cjh49qvj+77//hoeHB/r374+FCxfyZgJEGu7t27dYtWoVvLy8REchojIaPXo0fv75ZyQkJIiOQqTVil2IV6lSpUw72rt3L7KyshTfr127FhkZGRg2bBiioqKwefPmMo1PRGKtW7cOX3/9NapVqyY6ChGVkUwmg7u7O5YtW8ZrxIhUqNiF+KJFi8q0o5cvX6Ju3boAgDdv3uDWrVsYOXIkevbsiW+++QZXr14t0/hEJM7du3cRGxuLzp07i45CREpia2uLevXq4cSJE6KjEGmtYrcv/Lfs7GzExsbi1atXaNiwIQwMDIp8jFQqRXZ2NgDg1q1b0NfXR/PmzQEA1apVU9ubCLCPONH7ZWRkYPXq1WX+Y52I1I+bmxvc3d3RunVrmJmZiY5DpHVKXIgfOHAA+/btQ1JSEiQSCQICAtCwYUMsXLgQ9vb26Nu3b4GPa9SoEX777TeYmpri0KFDaNWqFfT03u3+5cuXMDExKdMTURX2ESd6v02bNqFfv36ckkKkhfT09ODp6YmlS5di8eLF7KBGpGQlulhz9+7d2L59O/r164fAwMA888ZatmyJ8+fPF/rYkSNH4smTJ5gwYQJiY2MxdOhQxbrz58/D1ta2FPGJSKSIiAg8ffqUXVKItFjDhg3RuHFjHD9+XHQUIq1TojPix44dw5AhQ9C7d2/FNJNcVlZW+Pvvvwt9rLW1NTZs2IDXr1+jSpUqef6qHjFiBM+mEWmYrKwsLF++HPPnzxcdhYhUbNiwYXB3d0e7du3U9hNsIk1UojPir1+/Vlxw+V9yuTxPV5TCVK1aNd9HW9bW1izEiTTMli1b0LNnT964h0gH6Onpwd3dnTf6IVKyEhXitWvXxrVr1wpcd/PmTdSvX18poYhIvUVGRuLBgwfo0aOH6ChEVE5sbW1haWnJG/0QKVGJCvEBAwbg0KFDWLduHe7fvw+JRIKoqCjs3bsXR44cwYABA1SVk4jURHZ2NoKCguDl5cULt4h0zKhRo7B3714kJSWJjkKkFUpUiDs4OMDT0xOXLl2Ct7c35HI5AgMD8euvv2LixIlo06aNqnISkZrYuXMnunXrhho1aoiOQkTlTCaTYdy4cQgODhYdhUgrlLh9YefOndG5c2dER0fj9evXMDIyQu3atQs9M6bpd+RiH3Gi//Ps2TPcvHkTS5cuFR2FiASxt7fHyZMnERYWBgcHB9FxiDRaqW7oA7zrkmJlZVXkdocOHSrtLtQC+4gTvZOTk4OAgABMnz6dU1KIdNz333+PSZMmoUWLFjAyMhIdh0hjlWhqyr+9efMG6enpZdp5enq60u6ouXv3bvTq1Qvjxo3Lty4zMxObN2/GsGHD8OWXX8LLyws3btxQyn6JdMXevXvh6OgICwsL0VGISDADAwOMHj0aK1euFB2FSKOVuhAfPHgw1q1bV6adr127FoMHDy7TGADw6tUr7N27FwYGBgWuDw4OxoEDB9C5c2eMHj0aUqkUPj4+uHv3bpn3TaQLoqOjcenSJfTr1090FCJSE61bt4ZUKsXVq1dFRyHSWKUuxOVyudrM//7pp59gY2ODhg0b5lsXERGBc+fOYejQoXBzc0OPHj3g6+uLGjVqYPPmzeUflkjD5F6UXdD1EkSk28aPH48NGzYgLS1NdBQijVTqOeIAcO/ePSxfvrxMjy+rO3fuICwsDMuXL8ePP/6Yb31YWBikUmmefscymQzOzs7YsmULYmNjYW5uXuYcRNrq119/RYsWLVCnTh3RUYhIzVSuXBnDhg3DmjVr4OXlJToOkcYpUyH+zz//4J9//ilTgLJc9JWdnY0ff/wR3bt3h7W1dYHbREZGwsrKKt8Fl40bNwYAPH78mIU4USHi4uJw9OjRMv3BTUTarWPHjggJCcGff/6JFi1aiI5DpFFKXYj7+voqM0epHDt2DLGxsVi4cGGh28THx6N69er5lucui4uLe+8+UlNTi5VFX18f+vr6xdqWSFMEBwfD3d0denpl+pudiLTcxIkTMW3aNAQHB6NixYqi4xBpjFL/dm3WrJkyc5TY69evsX37dri6usLY2LjQ7TIyMgoskGUymWL9+4wYMaJYeQYOHIhBgwYVa1siTXDu3DnUrFkTNjY2oqMQkZqrWrUqXF1d8dNPP+H7778XHYdIY2jsaa5t27bByMgIPXv2fO92MpkMmZmZ+ZbnFuC5BXlhNm3aVKw+4jwbTtokOTkZO3fuRFBQkOgoRKQhunTpghMnTuDRo0cFNk8govw0sgXC33//jePHj6NXr16Ij4/Hy5cv8fLlS2RmZiI7OxsvX75U9Cc3MTFBQkJCvjFyl5mamr53X4aGhsX6YiFO2mT16tUYNWpUoS1BiYgK4uHhgeXLlyM7O1t0FCKNoJFnxOPi4pCTk4N169YV2Mt81KhR6N27N0aPHo369evj1q1bSE1NzXNm+8GDBwCA+vXrl1tuIk1w8+ZNZGdno3Xr1qKjEJGGMTc3R5cuXbB37158/fXXouMQqT2NLMTr1q0Lb2/vfMu3bduGtLQ0jB49WnH3PwcHB+zfvx/Hjh1T3IwkMzMTISEhsLGxYccUon95+/YtfvzxR/j7+4uOQkQa6osvvoCHhwe6dOmCWrVqiY5DpNY0shA3NjZGx44d8y0/dOgQAORZZ2NjAwcHB2zZsgVJSUmwsLBAaGgoYmJi4O7uXm6ZiTTBxo0b4erqiipVqoiOQkQaSiqVwsPDA4GBgViyZEmZ2hQTaTuNnCNeUp6enujduzdOnz6NdevWISsrC3PmzIG9vb3oaERq4+HDh4iKikKXLl1ERyEiDWdtbY1GjRohJCREdBQitaa0M+IbNmyAkZGR0Dlhfn5+BS6XyWRwc3ODm5tbOSci0gzZ2dlYvnw55s2bJzoKEWmJ4cOHw93dHe3bt0fVqlVFxyFSS0orxH/99Ve0b99eWcOpDU9PT0ileT84cHFxgYuLi6BERMq3c+dOODs7w8zMTHQUItIS+vr6+P7777Fy5UrMnDlTdBwitaS0QtzU1BQ5OTnKGk5tBAYGFquPOJGmioqKwrVr1xAYGCg6ChFpmebNm+PYsWO4evUq2rRpIzoOkdpR2hzxDh064M6dO8W+JTwRiSeXyxEYGAgvLy9eUEVEKjF27Fhs3LgR6enpoqMQqR2lFeKDBg2Cubk5fHx88NdffylrWCJSoV9//RUtW7ZE7dq1RUchIi2Ve/3Yxo0bRUchUjtKm5ri6+sLfX193L9/H56enqhevTrMzc0LvYW8r6+vsnZNRKUQFxeHo0ePYvny5aKjEJGW69y5M06cOIGHDx+iUaNGouMQqQ2lFeK3b99W/FsulyM+Ph7x8fEFbsuPwInECw4OxoQJE6Cnp5G3EyAiDePh4YF58+Zh+fLlqFChgug4RGpBqe0LiUgznD9/HjVq1ICtra3oKESkI8zMzPDJJ59gz549GDhwoOg4RGpBaYV4jRo1lDUUEalQSkoKtm/fjuDgYNFRiEjH9OnTB56enujSpQssLCxExyESjp9JF4F9xEnbrFmzBiNHjoSBgYHoKESkY6RSKSZNmoTAwED4+/tzqirpPKUX4q9fv8aZM2cQERGB169fo0WLFvjyyy8BAE+fPsWLFy/QokULjSkC2EectMmtW7eQnp6Otm3bio5CRDrK2toaNjY2OHHiBD799FPRcYiEUlr7QgC4cOECRo8ejY0bN+LcuXP4888/ERUVpVgfFxeHRYsW4eLFi8rcLREVQ2ZmJn744Qe4u7uLjkJEOm7YsGE4ePAgkpKSREchEkpphXh4eDiWLVuGChUqwM3NDQEBAZDL5Xm2adGiBQwNDVmIEwnwv//9D1988QWMjY1FRyEiHaevr4/vv/8eK1euFB2FSCilFeJ79uyBRCLB/Pnz0adPnwL7hFaoUAEffPABnj59qqzdElExPHnyBBEREXB2dhYdhYgIANCsWTMYGBjgjz/+EB2FSBilnhG3tbVFw4YN37td9erVkZCQoKzdElERcnJyEBQUBE9PT14YRURq5fvvv8dPP/2E9PR00VGIhFBaIf727dtifeSdnJysrF0SUTHs378fHTt2RK1atURHISLKo3Llyhg0aBDvRUI6S2mFuKmpKZ49e/bebeRyOZ4+fYqaNWsqa7dE9B6xsbE4e/Ys+vfvLzoKEVGBHB0d8fLlS0RERIiOQlTulNa+8MMPP8TRo0dx7tw5fPzxxwVuc+LECbx69QqdO3dW1m5Vjn3ESZMFBgbC3d2dt5MmIrU2ceJEzJs3D8uXL+f/V6RTlFaIf/XVVzh79iyCgoIQGRmJDh06AADS09Px119/4eLFi/jll19gbGyMPn36KGu3Ksc+4qSpQkNDUbdu3SKv2yAiEs3MzAzdunXD7t27MWjQINFxiMqN0qammJmZYe7cuahatSp++eUXTJs2DRKJBL///js8PT2xZ88eVK5cGbNmzUK1atWUtVsiKsCbN2+wZ88euLm5iY5CRFQsffr0wR9//IG///5bdBSicqPUO2va2trihx9+wMmTJ3Hz5k28fPkScrkcZmZmaNmyJXr06IHKlSsrc5dEVIDVq1djzJgxqFixougoRETFIpFI4OHhgaCgIPj7+7PLE+kEpd/i3tDQEH369NGo6SdE2uTGjRuQy+Vo1aqV6ChERCVSt25dNGnSBMePH0ePHj1ExyFSOaVNTXn9+rWyhiKiUnr79i3WrVuHCRMmiI5CRFQqQ4cOxaFDh5CYmCg6CpHKKa0QHzJkCCZMmIAff/wRYWFhLMyJBNi0aRMGDBgAIyMj0VGIiEpFT08PY8eOxYoVK0RHIVI5pU1NadCgASIjI/H06VP89ttvAIA6derA3t4ezZo1g729fbFu+ENEpfPo0SM8ffoU3333negoRERlYm9vj+PHj+Py5cto37696DhEKiORy+VyZQ2WmpqKO3fu4Pbt27h9+zYeP34MuVyuuODCysoKzZo1Q7NmzdCpUydl7VYlUlNT4erqCisrK/YRJ7WXnZ0NDw8PzJ49G+bm5qLjEBGVWWpqKry8vBAUFAQDAwPRcYhKJLeO3L1793vbYCu1EC8oRG5hfufOHURGRirWHTx4UFW7VYrivoBE6mD37t3Q09PDl19+KToKEZHSXLhwAdevX4e7u7voKEQlUtw6UmlzxAuip6eHihUromLFipDJZJBKpVBh3U+kk168eIHff/8dX3zxhegoRERK1alTJ8TGxiI8PFx0FCKVUGr7woyMDNy/f19xBvzhw4fIysqCXC6Hubk5OnfurJiaUlZPnz7Fzp078ejRIyQkJKBixYqoW7cu+vXrh3bt2uXZNjMzE9u3b8fp06eRnJwMa2trDB48mO3dSOPJ5XIEBgbCw8Mj3xQqIiJtMGnSJMydOxfBwcHQ01N612UioZT2Ez19+vR8hbejo6Oi8K5Ro4aydgUAiI2NRVpaGj755BOYmJjg7du3+P3337FgwQKMGzcuT//R4OBghIWFoXfv3rC0tMSpU6fg4+MDX19f2NnZKTUXUXk6efIkGjduDGtra9FRiIhUwtTUFN27d8euXbswePBg0XGIlEpphfi9e/cgkUhQt25dfP311/joo49UelesNm3aoE2bNnmWubi4wMPDAwcOHFAU4hERETh37hxGjBiBfv36AQCcnJwwfvx4bN68GUuXLlVZRiJVSkpKwoEDB7B8+XLRUYiIVKpXr17w9PRE165dYWVlJToOkdIo7bPsdu3aoXLlynj69Cn8/f0xcOBALFiwAAcOHMCjR4/KZW54hQoVYGZmhpSUFMWysLAwSKXSPGfIZTIZnJ2dER4ejtjYWJXnIlKFlStX4rvvvoO+vr7oKEREKiWRSODp6YmgoCBea0ZaRWlnxGfNmgW5XI7Hjx/j1q1buHPnDu7du4c//vgDEokElSpVgp2dnaKneMOGDZWy3/T0dLx9+xapqam4fPkyrl27BkdHR8X6yMhIWFlZ5btitXHjxgCAx48fs90baZw//vgDFStWRPPmzUVHISIqF7n3Jjl69Cg+//xz0XGIlEKpVz1IJBI0aNAADRo0QN++fRWFeW5f8Rs3buDq1asAlNe+cOPGjTh27BgAQCqVomPHjnluaBIfH4/q1avne1zusri4uPeOn5qaWqwc+vr6PDNJ5SI9PR0bN25EQECA6ChEROVq8ODBcHd3x0cffYRq1aqJjkNUZiq9/Dg2NhZPnjxRfGVmZgKAUueO9+7dGw4ODoiPj8f58+eRk5Oj2A/wrpNLQQWyTCZTrH+fESNGFCvHwIEDMWjQoBIkJyqd9evX45tvvkHlypVFRyEiKld6enoYP348li9fjrlz54qOQ1RmSi3EY2Ji8txZM3f+tVwuh56eHpo2baq45b2y1KlTB3Xq1AHw7iLM2bNnY8GCBQgICIBEIoFMJstTmOfKLcBzC/LCbNq0qVg39OHZcCoPDx48QExMTJ7pV0REuqRp06aoWrUqLl26hA4dOoiOQ1QmSivER40alafw1tfXR5MmTRRzwps0aVJk0asMDg4OWL16NaKjo1G7dm2YmJgUOP0kISEBwLu2SO9jaGjIO2uSWsjKysLKlSvh4+MjOgoRkVBjxoyBp6cnWrRogUqVKomOQ1RqSivE4+Pj0bRpU0XfcBsbm3IpvP8r90x37tzu+vXr49atW0hNTc1TUD948ECxnkgT7Nq1C87OzkX+8UhEpO0MDQ0xdOhQrFu3DhMnThQdh6jUlNa+cPfu3fDz88OgQYPQrFkzlRfhiYmJ+ZZlZWUhNDQUMplMMV3FwcEBOTk5igs6gXd32gwJCYGNjQ07ppBGiI6OxrVr19C7d2/RUYiI1MJHH32EhIQE3L9/X3QUolJT2hnx8p4jvXr1aqSmpsLe3h4mJiZITEzEmTNnEBUVhZEjRyo+qrKxsYGDgwO2bNmCpKQkWFhYIDQ0FDExMXB3dy/XzESlIZfLERQUBE9PT5XeJIuISNNMnDgRM2fOxIoVK6Cnp9L+E0QqoZKf2vDwcNy9e1cxN9vU1BR2dnawtbVV2j4cHR1x8uRJ/Pbbb3jz5g0qVaqEhg0bYvjw4Wjfvn2ebT09PbFt2zacPn0aycnJsLa2xpw5c2Bvb6+0PESqcvToUdjb2ys+5SEioneqV6+Onj17Ytu2bRg+fLjoOEQlptRCPDo6GoGBgXj06BEAKO5+lXsWr2HDhvDy8oKlpWWZ9/Xxxx/j448/Lta2MpkMbm5ucHNzK/N+icpTQkICjhw5ghUrVoiOQkSklj777DNMmTIFz58/5wkL0jhKvVhzxowZSExMhImJCRwcHFCzZk0A79oahoWF4eHDh5gxYwaCgoJgYmKirF2rlKenJ6TSvFPpXVxc4OLiIigR6ZLly5dj/Pjx/MiViKgQEokEnp6eWLp0KQIDAzmFjzSK0n677969G4mJiejTpw+GDh2ab8748OHD8b///Q8HDx7E3r17MWbMGGXtWqUCAwPZvpCEuHjxIoyNjdG0aVPRUYiI1JqlpSXatm2LQ4cOoU+fPqLjEBWb0rqmXL16FVZWVhg5cmSBF27q6enBzc0NVlZWuHLlirJ2S6SV0tLS8L///Q/fffed6ChERBrB1dUVISEhePXqlegoRMWmtEI8ISEBH3zwwXu3kUgk+OCDDxQ30yGigq1duxbDhg3jjSqIiIqpQoUKcHd3R3BwsOgoRMWmtELc0NCwWH+Fvnr1ilM9iN7j3r17SEpKQseOHUVHISLSKI0aNYKFhQXOnDkjOgpRsSitELe1tcX9+/fxxx9/FLrN1atXcf/+faW2MSTSJllZWVi1ahXvFEdEVEqjRo3C7t27kZycLDoKUZGUdrHmV199hatXr2LRokXo1KkTOnfunKdryrlz53Du3DlIJBJ89dVXytotkVbZtm0bevbsierVq4uOQkSkkSpWrIhRo0Zh9erVmDZtmug4RO+ltELc1tYWEydOxOrVq3H27FmcO3cuz3q5XA6ZTIZx48bxjDhRAZ4/f447d+5g6dKloqMQEWm01q1b4/jx47h58yZatmwpOg5RoZTanLhr165o1qwZjh8/jnv37iE+Ph4AYGJiAjs7Ozg7O8Pc3FyZu1Q59hGn8iCXyxEYGIjJkyezBy4RkRJMmDABU6dOxfLlyyGTyUTHISqQ0u8SYmZmhm+++UbZwwrDPuJUHg4fPozWrVvDyspKdBQiIq1QpUoV9O/fH5s2bdKYe5eQ7ilzIX716lVcunQJsbGx0NfXh7W1Nbp164ZatWopIx+R1ouLi8Px48exfPly0VGIiLSKk5MTTp48iUePHqFhw4ai4xDlU6ZCfNmyZTh//jyAdx+tA8Aff/yB/fv3Y+rUqWjfvn3ZExJpueDgYLi7u/M29kREKuDp6YkFCxYgKCgIFSpUEB2HKI9Sty88ceIEzp07B6lUik8++QTffvsthgwZAhsbG2RmZiIoKAgpKSnKzEqkdc6fP48aNWrAxsZGdBQiIq1kbm6OLl264OeffxYdhSifUhfioaGhkEgkmDdvHtzd3dGzZ0/0798f/v7+cHJyQlpaGi5evKjMrERaJSUlBdu3b8fo0aNFRyEi0mp9+/bFxYsX8eLFC9FRiPIodSH+5MkT2NjYoEWLFvnWDRgwAHK5HE+ePClLNiKttmbNGowcORIGBgaioxARaTWpVIpJkyYhICBAMZWWSB2UuhBPS0uDhYVFgetyL9RMTU0t7fBEWu3WrVtIT09H27ZtRUchItIJ1tbWsLW1xYkTJ0RHIVIo9dVhcrk8X3/tXLnLteGvTvYRJ2XLzMzE2rVr4efnJzoKEZFOGTp0KCZOnIj27dujWrVqouMQKb+PuLZhH3FSts2bN6Nv374wNjYWHYWISKfo6+tj3LhxCA4Oxrx580THISpbIR4aGorQ0NAC10kkkveuP3jwYFl2TaSRHj16hMjISIwaNUp0FCIinWRnZ4dTp07h/PnzcHR0FB2HdFyp54gD76aelPaLSNdkZWUhKCgIXl5evI09EZFA3377LXbs2IHk5GTRUUjHlfqM+KFDh5SZg0jrbdu2DZ999hnMzMxERyEi0mkGBgYYM2YMVqxYAW9vb9FxSIeV6Yw4ERXP48ePcffuXV7kS0SkJlq2bAl9fX1cvnxZdBTSYSzEiVQsOzsbgYGBmDx5MqekEBGpkXHjxmHTpk1st0zCsBAnUrGdO3fik08+Qc2aNUVHISKifzE0NMTw4cOxZs0a0VFIR7F9YRHYR5zK4tmzZ7hx4waWLVsmOgoRERWgQ4cOOHXqFG7evImWLVuKjkM6hoV4EdhHnEorJycHAQEBmD59OqekEBGpMXd3d0yZMgXBwcEwMDAQHYd0iMYW4hEREQgNDcWtW7cQExODKlWqwMbGBkOGDIGVlVWebTMzM7F9+3acPn0aycnJsLa2xuDBg9GqVStB6UkX7NmzB46OjrCwsBAdhYiI3qNKlSoYOHAg1q9fjwkTJoiOQzpEY+eI79u3D7///jtatGiB0aNHo0ePHrh79y4mTZqEp0+f5tk2ODgYBw4cQOfOnTF69GhIpVL4+Pjg7t27gtKTtouKisLly5fRr18/0VGIiKgYOnfujNjYWNy7d090FNIhGluI9+3bFxs3bsSYMWPw6aefwtXVFUuWLEF2djZ+/vlnxXYRERE4d+4chg4dCjc3N/To0QO+vr6oUaMGNm/eLO4JkNaSy+UICAiAl5dXvusLiIhIfXl6emLVqlXIzMwUHYV0hMZWCU2aNIG+vn6eZZaWlqhbty6eP3+uWBYWFgapVIoePXoolslkMjg7OyM8PByxsbHllpl0wy+//IL27dujdu3aoqMQEVEJVKtWDX379sWmTZtERyEdobGFeEHkcjkSExNRtWpVxbLIyEhYWVnlu+CycePGAN7daIVIWV68eIGzZ89iwIABoqMQEVEpODs74/Hjx3j06JHoKKQDtKoQP3PmDOLi4uDo6KhYFh8fj+rVq+fbNndZXFzce8dMTU0t1hc/xiK5XI6lS5dySgoRkQaTSCTw8vJCUFAQsrKyRMchLaexXVP+6/nz51i7di1sbW3h5OSkWJ6RkZFvCgvwbnpK7vr3GTFiRLH2P3DgQAwaNKgEiUnb7Nu3D23btkW9evVERyEiojIwMzNDr169sGnTJowePVp0HNJiWlGIJyQkYP78+TA0NMT06dNRoUIFxTqZTFbg2ercAjy3IC/Mpk2bitVHvKBin3RHVFQUwsLCEBAQIDoKEREpwaeffoqZM2ciPDwctra2ouOQltL4z89TUlIwb948pKSkwMfHB6ampnnWm5iYICEhId/jcpf9d/v/MjQ0LNYXC3HdlZ2dDX9/f0yZMoVTUoiItIREIsHkyZOxYsUKTj8lldHoqiEjIwMLFixAdHQ05syZg7p16+bbpn79+oiOjkZqamqe5Q8ePFCsJyqLnTt3wsnJCZaWlqKjEBGREpmYmODLL7/E+vXrRUchLaWxhXjuWcjw8HBMnz690I+NHBwckJOTg2PHjimWZWZmIiQkBDY2NjA3Ny+vyKSFIiMj8eeff6JPnz6ioxARkQp88skn+Oeff3gTQFIJjZ0j/tNPP+Hy5cto164d3rx5g9OnT+dZ37VrVwCAjY0NHBwcsGXLFiQlJcHCwgKhoaGIiYmBu7u7iOikJbKyshAYGIi5c+dCIpGIjkNERCri5eWFGTNmIDg4GBUrVhQdh7SIxhbikZGRAIArV67gypUr+dbnFuLAuztlbdu2DadPn0ZycjKsra0xZ84c2Nvbl1te0j6bN29Gz549+akKEZGWq1atGr7++mv8+OOPPIlHSqWxhbifn1+xt5XJZHBzc4Obm5sKE5EuCQ8PR2RkJEaOHCk6ChERlYPOnTvjzJkzuHXrFpo3by46DmkJjS3Ey4unp2e+ThguLi5wcXERlIhEy8jIwIoVK+Dr68spKUREOsTDwwNTp05FcHAwDAwMRMchLcBCvAiBgYHF6iNOumPdunUYMGBAgXdsJSIi7VW1alUMGTIEa9asgaenp+g4pAU0tmsKkQi3bt1CXFwcunTpIjoKEREJ4ODggLS0NFy/fl10FNICLMSJiik9PR1r1qyBh4eH6ChERCTQxIkTsW7dunz3KCEqKRbiRMW0atUqDBs2DFWrVhUdhYiIBDIyMsKIESOwcuVK0VFIw7EQJyqG33//HXK5HB07dhQdhYiI1ED79u0hlUrx+++/i45CGoyFOFEREhMTsXXrVkyYMEF0FCIiUiMTJkzA1q1bkZiYKDoKaSgW4kTvIZfL4e/vj4kTJ7JVFRER5WFgYIAJEyZg6dKlkMvlouOQBmL7wiKwj7huO3z4MBo3bgxbW1vRUYiISA01bdoU9evXx2+//cbagEqMhXgR2Edcd0VFReHUqVMIDAwUHYWIiNTY8OHD4enpiQ8//BAWFhai45AG4dQUogJkZWXB398f06ZNQ4UKFUTHISIiNaanp4cpU6ZgyZIlyM7OFh2HNAgLcaICbN68Gd27d4elpaXoKEREpAHq1KmDzp07Y/v27aKjkAZhIU70H3fu3MGTJ08414+IiEqkb9++uHv3LiIiIkRHIQ3BQpzoX9LS0rBq1SpMmTIFEolEdBwiItIgEokEU6dORXBwMN6+fSs6DmkAFuJE/xIYGAg3NzcYGxuLjkJERBrI1NQUrq6u+OGHH0RHIQ3AQpzo/ztx4gSMjY3Rrl070VGIiEiDde7cGenp6bh48aLoKKTm2L6wCOwjrhuio6Nx6NAhBAcHi45CRERaYNKkSfDw8ICNjQ1MTExExyE1xUK8COwjrv2ysrKwePFiTJ8+HXp6fEsQEVHZGRgYwNPTE35+fvD39+d1R1QgTk0hnbdu3Tq4uLigdu3aoqMQEZEWadSoEVq3bo1du3aJjkJqioU46bSrV68iLi4OPXr0EB2FiIi0kKurK27cuIEHDx6IjkJqiIU46azExERs2LABXl5eoqMQEZGWkkgkmDFjBoKDg5GWliY6DqkZFuKkk+RyOfz8/DBp0iReA0BERCpVvXp1DB8+HEFBQaKjkJphIU46ac+ePWjRogVsbW1FRyEiIh3Qvn17GBkZISQkRHQUUiMsxEnnhIeH4+rVqxg4cKDoKEREpEO+//57HDhwAC9evBAdhdQEe7UVgX3EtUtycjKCg4OxePFitpIiIqJypa+vj6lTp2LRokUIDAxky1xiIV4U9hHXHrnzwseOHYtq1aqJjkNERDqobt266NmzJ9asWQN3d3fRcUgwTk0hnbF79240adIEzZs3Fx2FiIh0WPfu3ZGWlobz58+LjkKCaewZ8bS0NPzyyy+IiIhAREQEkpOTMXHiRHTr1i3ftpmZmdi+fTtOnz6N5ORkWFtbY/DgwWjVqpWA5CTCnTt3cPPmTfj5+YmOQkREBA8PD3h4eKBhw4awsLAQHYcE0dgz4q9fv8auXbvw/Plz1K9f/73bBgcH48CBA+jcuTNGjx4NqVQKHx8f3L17t5zSkkivX7/GypUr4e3tzXnhRESkFmQyGWbMmAFfX19kZmaKjkOCaGwhbmJigi1btuCnn37CiBEjCt0uIiIC586dw9ChQ+Hm5oYePXrA19cXNWrUwObNm8svMAkhl8uxaNEiuLu7o2rVqqLjEBERKdSuXRtffvklVqxYIToKCaKxhbi+vj6qV69e5HZhYWGQSqV5bmEuk8ng7OyM8PBwxMbGqjImCbZ9+3a0bNkSdnZ2oqMQERHl07VrV0gkEoSGhoqOQgJobCFeXJGRkbCyssrX+aRx48YAgMePH7/38ampqcX64sdK6ufPP//E/fv34erqKjoKERFRoSZMmID9+/cjKipKdBStIZfLcfnyZUyePFmtX1eNvVizuOLj4ws8c567LC4u7r2Pf9+0l38bOHAgBg0aVPKApBJxcXH44YcfsGzZMs4LJyIitaavr4+ZM2di/vz5CAoKQsWKFUVH0lhZWVkICQnB4cOH0bx5c8ycObNYMyhE0fpCPCMjA/r6+vmWy2Qyxfr32bRpU7H6iBe0DxIjKysL8+fPx5QpU2BkZCQ6DhERUZFq1aqFQYMGITAwEDNmzBAdR+NkZGTg0KFDCAkJgZOTEwICAmBgYCA6VpG0vhCXyWQFThvJLcBzC/LCGBoa8oY+Gmb58uXo1asXPvjgA9FRiIiIiq1Tp064ffs2Dh48iD59+oiOoxGysrJw5MgRHDt2DC4uLli1apVG3bFU6+eIm5iYICEhId/y3GWmpqblHYlU6LfffoO+vn6B/eSJiIjU3bfffosLFy6wxXIRsrOzceTIEYwfPx4AsGrVKvTq1UujinBABwrx+vXrIzo6GqmpqXmWP3jwQLGetMODBw8QEhKCsWPHio5CRERUKhUqVMDs2bOxcuVKxMfHi46jli5duoQJEyYgNTUVK1euRN++fTWuAM+l9YW4g4MDcnJycOzYMcWyzMxMhISEwMbGBubm5gLTkbIkJiYiKCgIc+bM0dg3IxEREQBUrVoVkydPxoIFC5CVlSU6jtr466+/MGXKFPzxxx/w9/fHgAEDNP4aPY2uWI4cOYKUlBRF55MrV64o/t2zZ09UrlwZNjY2cHBwwJYtW5CUlAQLCwuEhoYiJiYG7u7uIuOTkmRnZ2PBggWYNGkSqlWrJjoOERFRmTVs2BCff/45Vq5cCQ8PD9FxhEpKSsLatWuRkpICDw8PWFpaio6kNBpdiO/fvx8xMTGK7y9evIiLFy8CALp06YLKlSsDADw9PbFt2zacPn0aycnJsLa2xpw5c2Bvby8k9/skJSUhMzMTZmZmoqNojLVr18LJyQm2traioxARESmNs7Mz7t27h6NHj+Kzzz4THafc5eTkKC7E/Pbbb9GyZUvRkZROowvxjRs3Fms7mUwGNzc3uLm5qThR2b1+/RqrVq2CgYEB+vfvr5Z/LKiTkJAQpKamwsXFRXQUIiIipRs/fjymT5+OOnXq6FRN8PDhQ6xcuRIdOnTAihUrtHbaqUQul8tFh1BHqampcHV1hZWVFaTSvFPpXVxcVF74RUVF4eeff8Zff/2Fzz//HM7Ozlr7Q1ha9+/fx7p167B06VK+NkREpLWSk5MxdepUzJkzB7Vq1RIdR6XS09Px448/4tWrV3B3d9fYa/ly68jdu3e/tw02C/FCFPcFVLW0tDQcOXIEoaGh+OSTT9CrVy/ecQtAbGwsZs+eDX9/f1StWlV0HCIiIpWKiorCokWLEBAQgEqVKomOoxJXr17Fhg0bMHjwYHTq1El0nDIpbh2p9V1TNF2lSpXQv39/rFy5EpUqVYKHhwe2bt2arx2jLklPT4ePjw9mzJjBIpyIiHRC7dq1MWrUKMyfPx85OTmi4yhVcnIy/Pz8cOrUKSxbtkzji/CSYCGuIfT09BR3jLKyssLkyZOxa9cuxR1CdUVOTg4WLlyIYcOGoV69eqLjEBERlZsPP/wQ7du3x9q1a0VHUZpLly5h8uTJ6N69O6ZNmwYjIyPRkcoVC3ENI5VK4eTkhJUrV6Jq1apwd3fHkSNHkJ2dLTpauVi/fj1atWqFtm3bio5CRERU7vr27YvMzEwcOHBAdJQySU9Ph7+/P86ePYugoCC0bt1adCQhWIhrqAoVKij6i6ampmLChAm4fPmy6FgqdezYMSQnJ+PLL78UHYWIiEiYCRMm4Nq1a7hw4YLoKKVy7949TJo0CQ4ODpg2bZrWznkvDhbiGk5fXx8DBgyAv78/Ll26hOnTp+P58+eiYyndnTt3cOrUKUycOFF0FCIiIqGkUilmz56Nffv24c6dO6LjFFtWVhY2bNiAbdu2YfHixXBwcBAdSTgW4lrCyMgIEydOxNixY7F69WqsWLECKSkpomMpxT///IPVq1dj7ty5bFNIRESEd/dIWbBgAdasWYNnz56JjlOk58+fw8PDAxYWFvD19eWdsP8/ti8shOg+4mV16dIlbN68GV9//TW6dOkiOk6pJSUlYfr06Zg9e7ZW3dKWiIhIGXLb+fr6+sLU1FR0nHzkcjkOHjyIM2fOYNq0abCwsBAdqVywj3gZqUsf8bJIT0/Hpk2b8OzZM0yaNAk1a9YUHalE3r59i6lTp2Ls2LGwsbERHYeIiEgtPX78GEuXLsXixYvVqq1vUlISlixZgsaNG2PIkCGoUKGC6Ejlhn3ECQYGBvj+++8xevRoLFq0CLt27dKY3qPZ2dmYP38+Bg4cyCKciIjoPerXrw93d3fMmDEDb968ER0HAPDHH39g2rRpGDx4MIYPH65TRXhJsBDXAQ0aNEBQUBD09PTg6emJqKgo0ZHeSy6XIzg4GB07dkSHDh1ExyEiIlJ7tra2GD9+PGbMmIHk5GRhOTIzM7FixQqcOHECgYGBaNq0qbAsmoCFuI6QSqX46quvMGXKFAQEBGD37t1qe3Z869atqFatGnr27Ck6ChERkcZo0qQJvv/+e2HF+JMnTzBp0iTY2dlh5syZGju1tzyxENcxVlZWCAgIgEQigaenJ/755x/RkfL45ZdfEBsbCzc3N9FRiIiINI6dnR3GjBkDb2/vcuueJpfLsX//fixfvhxz5szBJ598Ui771QYsxHWQVCrFgAED4OXlBV9fXxw/flx0JADvbthz7949eHh4QCKRiI5DRESkkezt7TFq1ChMmzYN8fHxKt1XYmIivL298ebNGwQEBGhcYwjRWIjrsDp16iA4OBiPHj3C/PnzhfYdP3v2LM6fP48ZM2bkaxdJREREJdO8eXN4eHjA29tbZdeGXb58GdOnT8fQoUMxdOhQ/v4uBbYvLISm9xEvqWvXrmH9+vUYP3487O3ty3XfV65cwd69e7Fo0SLo6+uX676JiIi02cuXL+Hj44Nhw4ahffv2ShkzPT0da9euRWpqKjw8PHT6FvWFKW77Qt6msAiBgYE6cbFB69at0ahRI/j7+6N+/frl1mro2rVr2LFjBxYvXswinIiISMlq1qyJwMBALF68GPfv3y/zmevLly9j06ZN+Oabb+Do6KjEpLqJnyGQQtWqVbFgwQKYm5vDy8sLL168UOn+Ll26hG3btsHPzw8GBgYq3RcREZGuMjAwwNy5c2FkZAQPDw88efKkxGM8e/YM3t7euHDhAgICAliEKwnPiFMeEokEvXv3RosWLbBgwQJ89dVX6Nq1q9L3c+7cORw5cgSLFy9GxYoVlT4+ERER/R+JRIKvvvoKnTp1QkBAAOrUqYOBAwfC3Nz8vY979OgR9uzZg+TkZIwZMwb16tUrp8S6gYU4FahevXoIDg7GmjVrcPnyZUyaNElpZ61DQkIQGhoKX19fTkchIiIqR7Vq1YK/vz/+/PNPBAQEQF9fH61bt0azZs1QtWpVZGdn48WLF7h+/Tpu3rwJS0tLuLq64oMPPhAdXSuxEKdC6evrY+LEibh48SI8PDzg5eWFhg0blmnMw4cP4+rVq5g/fz709PjjR0REVN4kEglatmyJli1b4tWrV/jzzz9x+PBhpKamQk9PD6ampvjwww/xzTff8FNrFWMlREXq2LEjbGxs4OfnhzZt2mDAgAEl7vOdk5ODH374AVlZWZgzZ065XAhKRERE72dmZoZPPvmEN+ERhBdrUrGYmJhgyZIlyMrKwtSpU0t0IWdus38rKytMnDiRRTgREREReEa8SJ6enjrRR7w4pFIpvvnmGzg4OMDPzw9t27ZF//793/ux1aVLl7B582ZMmDABdnZ25ZiWiIiISL2xEC+CrvQRLwlra2sEBQXh2LFjmDRpEjp37oyuXbsqbmsrl8tx9epV7Nq1C1ZWVggKCmKzfyIiIqL/0JlCPDMzE9u3b8fp06eRnJwMa2trDB48GK1atRIdTSNJpVJ8/vnn6N69O86cOYP169cjJiYGUqkUEokEtra2mDlzJkxMTERHJSIiIlJLOlOIBwcHIywsDL1794alpSVOnToFHx8f+Pr6cspEGejp6aFbt27o1q2b6ChEREREGkUnLtaMiIjAuXPnMHToULi5uaFHjx7w9fVFjRo1sHnzZtHxiIiIiEgH6UQhHhYWBqlUih49eiiWyWQyODs7Izw8HLGxsQLTEREREZEu0olCPDIyElZWVvkuumzcuDEA4PHjxyJi5ZOZmYkdO3YgMzNTdBQCj4c64bFQLzwe6oXHQ73weKgXdT8eOlGIx8fHo3r16vmW5y6Li4sr9LGpqanF+lLGAc7MzMTOnTvV9odF1/B4qA8eC/XC46FeeDzUC4+HelH346ETF2tmZGRAX18/33KZTKZYX5gRI0YUax8DBw7EoEGDSheQiIiIiHSOThTiMpmswL+Ecgvw3IK8IJs2bSpWH/GCCn0iIiIiosLoRCFuYmJS4PSThIQEAICpqWmhjzU0NOQNfYiIiIhI6XRijnj9+vURHR2N1NTUPMsfPHigWF9av/76a5myqZqy8+naeMqk7s9V3cdTNnV/vuo+nrKp+/NV9/GUTd2fr7qPp2zq/nzVfTxlU2Y+nSjEHRwckJOTg2PHjimWZWZmIiQkBDY2NjA3Ny/12Lr0w6KL4ymTuj9XdR9P2dT9+ar7eMqm7s9X3cdTNnV/vuo+nrKp+/NV9/GUTZn5dGJqio2NDRwcHLBlyxYkJSXBwsICoaGhiImJgbu7u+h4RERERKSDdKIQBwBPT09s27YNp0+fRnJyMqytrTFnzhzY29uLjkZEREREOkhnCnGZTAY3Nze4ubmJjkJEREREpDuFeEnJ5XIAwKRJkyCV5p1K/+mnn+LTTz8FAOTk5OS7CLS0csdR1niAcvPp2njKPh7q/FzVfTy+N9RrPB4P9RqPx0O9xuPxUK/xRB2P3PW59WRhJPKittBRr169KvbNfIiIiIiI/mvTpk0wMzMrdD0L8ULk5OQgPj4elSpVgkQiER2HiIiIiDSEXC5HWloaTExM8s2s+DcW4kREREREAuhEH3EiIiIiInXDQpyIiIiISAAW4kREREREArB9YSmkpaXhl19+QUREBCIiIpCcnIyJEyeiW7duxXp8ZmYmtm/fnufmQoMHD0arVq3ybBcREYHQ0FDcunULMTExqFKlCmxsbDBkyBBYWVmVelxto47H4/bt2/D29i5wf0uXLoWtrW3pnqwGKK/j8fTpU+zcuROPHj1CQkICKlasiLp166Jfv35o165dqcfVNup4PPj+UP3x+K/du3dj27ZtqFu3LlavXq20cTWdOh4Pvj9UfzxK+hqr8v3BQrwUXr9+jV27dsHc3Bz169fH7du3S/T44OBghIWFoXfv3rC0tMSpU6fg4+MDX19f2NnZKbbbt28f7t+/DwcHB1hbWyMxMRFHjhzBpEmTsGzZMtSrV69U42obdT0eANCrVy80atQozzILC4vSPVENUV7HIzY2Fmlpafjkk09gYmKCt2/f4vfff8eCBQswbtw49OjRo1Tjaht1PR4A3x+qPB7/9urVK+zduxcGBgZKHVcbqOvxAPj+KI/jUdzXWKXvDzmVWEZGhjw+Pl4ul8vlERER8p49e8pPnjxZrMc+ePBA3rNnT/m+ffsUy96+fSsfPXq0fPLkyXm2vXfvnjwjIyPPsujoaPkXX3whX7ZsWanH1TbqeDxu3bol79mzp/zChQuleUoarbyOR0GysrLkEyZMkI8ZM0ap42oydTwefH+U7/FYsmSJ3NvbWz59+nT52LFjlTauNlDH48H3h+qPR0leY1W/PzhHvBT09fVRvXr1Uj02LCwMUqk0z9khmUwGZ2dnhIeHIzY2VrG8SZMm0NfXz/N4S0tL1K1bF8+fPy/1uNpGHY/Hv6WmpiI7O7tU+TRReR2PglSoUAFmZmZISUlR6riaTB2Px7/x/VF8pTked+7cQVhYGEaPHq3UcbWFOh6Pf+P7o/hK+3Nc1Gus6vcHp6aUs8jISFhZWcHQ0DDP8saNGwMAHj9+DHNz80IfL5fLkZiYiLp16yp1XF2lquORa/ny5UhLS4NUKoWdnR1GjBiR72Mw+j+lOR7p6el4+/YtUlNTcfnyZVy7dg2Ojo5lHpdUdzxy8f1RMiU9HtnZ2fjxxx/RvXt3WFtbK21cekdVxyMX3x8lU5qf4+K8xqp+f7AQL2fx8fEF/rWXuywuLu69jz9z5gzi4uLwzTffKHVcXaWq46Gnp4ePPvoIbdq0QdWqVfHs2TPs378f06dPh7+/Pz744APlPQktUprjsXHjRhw7dgwAIJVK0bFjR3z33XdlHpdUdzz4/iidkh6PY8eOITY2FgsXLlTquPSOqo4H3x+lU5LjUZLXWNXvDxbi5SwjIyPf9Abg3cccuesL8/z5c6xduxa2trZwcnJS2ri6TFXHo0mTJmjSpIni+/bt28PBwQETJkzAli1b4OPjo6RnoF1Kczx69+4NBwcHxMfH4/z588jJyUFmZmaZxyXVHQ++P0qnJMfj9evX2L59O1xdXWFsbKy0cen/qOp48P1ROiU5HiV5jVX9/uAc8XImk8ny/VIC/u9A5h7Y/0pISMD8+fNhaGiI6dOno0KFCkoZV9ep6ngUxNLSEh06dMCtW7d0as5fSZTmeNSpUwctW7aEk5MT5s6di7S0NCxYsAByubxM45LqjkdB+P4oWkmOx7Zt22BkZISePXsqdVz6P6o6HgXh+6NoZf05Luw1VvX7g4V4OTMxMUFCQkK+5bnLTE1N861LSUnBvHnzkJKSAh8fnwK3Kc24pLrjURgzMzNkZWXh7du3pQ+txZTxc+zg4ICHDx8iOjpaqePqIlUdj8Lw/fF+xT0ef//9N44fP45evXohPj4eL1++xMuXL5GZmYns7Gy8fPkSb968KfG4lJeqjkdh+P54P2X8HBf0Gqv6/cGpKeWsfv36uHXrFlJTU/NM/H/w4IFi/b9lZGRgwYIFiI6OxsKFCwu9KLCk49I7qjoehXnx4gVkMlmR/WN1lTJ+jnPPUqSmpip1XF2kquNRGL4/3q+4xyMuLg45OTlYt24d1q1bl2+cUaNGoXfv3orOHXx/lI6qjkdh+P54P2X8HBf0Gqv6/cEz4iqUnp6O58+fIykpSbHMwcEBOTk5iouZgHd3bAoJCYGNjU2+K6z9/f0RHh6O6dOnv/duWiUZV1eV5/H49z5yPX78GFeuXEGrVq0glfKtV9bjkZiYmG/MrKwshIaGQiaToU6dOqUaV1eV5/Hg+6NoZTkedevWhbe3d76vunXrwtzcHN7e3nB2di7xuLqsPI8H3x9FK+v/VyV5jVX9/uAZ8VI6cuQIUlJSFFfLXrlyRfHvnj17onLlynj48CG8vb0xcOBADBo0CABgY2MDBwcHbNmyBUlJSbCwsEBoaChiYmLg7u6eZx8//fQTLl++jHbt2uHNmzc4ffp0nvVdu3ZV/Lsk42ojdTse/v7+kMlksLW1RbVq1fDs2TMcP34cFStWxLBhw1T5UqiF8jgeq1evRmpqKuzt7WFiYoLExEScOXMGUVFRGDlyJCpVqqTYlu8P9ToefH+o9ngYGxujY8eO+fZ76NAhAMi3ju8P9ToefH+o/v+rkrzGqn5/sBAvpf379yMmJkbx/cWLF3Hx4kUAQJcuXVC5cuVCH+vp6Ylt27bh9OnTSE5OhrW1NebMmQN7e/s820VGRgJ490N45cqVfOP8u/ArybjaSN2OR/v27XH27FkcPHgQqampiv+IBw4cCEtLyzI9V01QHsfD0dERJ0+exG+//YY3b96gUqVKaNiwIYYPH4727duXelxtpG7Hg+8P1R+PkuL7Q32OB98fqj8eJX2NVfn+kMiLupSdiIiIiIiUjhONiIiIiIgEYCFORERERCQAC3EiIiIiIgFYiBMRERERCcBCnIiIiIhIABbiREREREQCsBAnIiIiIhKAhTgRERERkQAsxImIiIiIBGAhTkREREQkgJ7oAEREuqpXr155vpdIJDA0NES9evXg5OSE7t27QyKRlEuOGjVqYOPGjSrbx44dO7Bz505MnDgR3bp1K3L727dvw9vbO8+ybdu2wdjYuEz7+/rrr5GSkqL4vrh5iIhUgYU4EZFgTk5OAICcnBy8ePEC9+/fx71793Dr1i1MmTJFcDqxLCws0KRJEwCATCYr83gff/wx3r59i8ePH+Px48dlHo+IqCxYiBMRCebh4ZHn+xs3bsDHxwfnzp1D586d0a5dO5Xuf82aNdDTU89fB02aNMn3+pTF2LFjAbw7Y85CnIhE4xxxIiI106pVK3Tt2hUAcOnSJZXvr06dOrCwsFD5foiIKC/1PAVCRKTjGjRoAAB49epVnuWxsbHYt28frl27hri4OFSsWBG2trYYMGCAYgpHrpcvX2LUqFGwt7fH7NmzsWPHDly8eBFxcXFwcXHB6NGjARQ+Rzw8PBw///wz7t+/j9TUVJiYmKB169ZwdXWFqalpgbkvX76MvXv34vHjx6hYsSLs7e0xbNgwZb0swvdHRKRMLMSJiNRQWloaAEBfX1+xLDw8HD4+PkhOToaVlRXatGmD169f48aNG7h+/TomT54MR0fHfGNlZGRgxowZiImJgb29PT744AMYGRm9d/+nT59GcHAwcnJy0KRJE5ibm+Ovv/7C0aNHcfHiRSxatAh16tTJ85ijR49izZo1kEgkaNq0KUxMTPDgwQN4eXmhbdu2SnhV8irv/RERKRsLcSIiNSOXy/HHH38AAKytrQEAqamp8PPzQ2pqKry8vNClSxfF9g8fPsScOXOwcuVKNG/ePF9nkYiICNja2mL9+vVFFuDAu7Puq1atAgDMmjUL7du3B/DuYtKNGzfi0KFDCAwMRFBQkOIxMTEx2LBhA/T09DB79mx8+OGHAICsrCwsX74cZ86cKe3LUaDy3h8RkSpwjjgRkZrIzs7G33//jeXLlyM8PBz6+vqK1nonT55EfHw8evfunacIB4BGjRrB1dUVaWlpOH36dIFjf/vtt8UqwgHgxIkTyMjIQKdOnRRFOABIpVIMHz4cJiYmePToEe7du6dYd/LkSWRkZODjjz9WFMUAoKenh9GjR6NixYrFfRmKpbz3R0SkCjwjTkQk2H/7iQNApUqV4OHhobiI8saNGwCAjz76qMAx7OzsALw7O/5fJiYmaNSoUbHz5BbY/y34gXdTZTp16oRDhw7h7t27aNq0aZ7HFDQ1pmrVqmjVqpVSLzwt7/0REakCC3EiIsFy+4hLpVLFDX0++uijPGewY2JiAABTp05971ivX7/Ot8zc3LxEeeLi4gAANWrUKHB97vL4+PgSP0ZZynt/RESqwEKciEiw4vTJzsnJAQA4ODi8d9pF7dq18y379wWfylAed/skItIFLMSJiDSAmZkZoqOj8dVXX6Fhw4Yq3ZepqSmio6MRGxuLevXq5Vv/8uVLAO+mvOQyMTFBdHQ0YmJiULdu3XyPiY2NVWrG8t4fEZEq8GJNIiIN0LJlSwDAxYsXVb6v3HnfZ8+ezbcuMzMTYWFhAP5vXvq/H3PhwoV8j3nz5o1ijruyM5bX/oiIVIGFOBGRBujRoweqVauGX375BceOHVNMVcmVnZ2N69ev4+nTp2Xel7OzM2QyGc6fP69oowi8mx6zZcsWxMXFoWHDhopiGAC6desGfX19nD17Fjdv3lQsz8rKwoYNG5Cenl7mXP9W3vsjIlIFTk0hItIARkZGmDlzJhYsWIDVq1dj9+7dqFevHoyMjJCQkIC//voLKSkp8Pb2LnA6SUnUqFED48aNw/Lly7FgwQI0adIEZmZm+OuvvxAdHY1q1arB09Mzz2Nq1aqFkSNHYu3atZg7dy7s7OxQvXp1hIeHIyUlBV26dFFqb+/y3h8RkSqwECci0hC2trZYtWoVDh48iD/++AN37twB8G6+tL29PTp27KiYwlJWTk5OsLCwUNziPiIiAtWrV8dnn31W6C3uXVxcYGJign379uHBgweQyWSws7PDsGHDcP78eaXkErk/IiJlk8jlcrnoEERERP92+/ZteHt7w8nJqVhdZUpqx44d2LlzJyZOnKi4aRIRUXnjGXEiIlJb9+/fR1BQEADgu+++Q6VKlco03po1a/D27Vs8fvxYGfGIiMqEhTgREamtf/75B//88w8AwM3NrcyF+Llz55CSkqKMaEREZcapKUREREREArB9IRERERGRACzEiYiIiIgEYCFORERERCQAC3EiIiIiIgFYiBMRERERCcBCnIiIiIhIABbiREREREQCsBAnIiIiIhKAhTgRERERkQAsxImIiIiIBGAhTkREREQkwP8DTxs5yMqJXb0AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Solution:\n", "pg = lc.to_periodogram(minimum_period = 1.02, \n", " maximum_period = 1.05,\n", " oversample_factor=100)\n", "pg.plot(view='period');" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 387 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:47.864816Z", "iopub.status.busy": "2023-11-03T14:26:47.864403Z", "iopub.status.idle": "2023-11-03T14:26:48.097835Z", "shell.execute_reply": "2023-11-03T14:26:48.097481Z" }, "executionInfo": { "elapsed": 1053, "status": "ok", "timestamp": 1599618444089, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "AOHw5CcilyoN", "outputId": "01058576-5e76-4d93-cd65-8d7cdde2570b" }, "outputs": [ { "data": { "image/png": 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N2LNnDxYuXIjCwkIl+JYz7cFgUJllVZSCaDO4gslkgsViUbWhBE4NLBU1++3t7airq1My//fccw8CgYDSS152zz334Prrr8f69evR0tKCxsbGuGrOQ6FQzCC2s7NT9bfodCMC8p6eHqxbt043my+TA3ibzQar1Yq+vj4Eg8GI4F7umuN2u2EymZRuP+JKSF1dHdavXx9z30OhUETv+nA4DJPJpHsVw2w2o6mpCQcPHox7jILYH6/Xq2Tao5UTiRak2nX19fVh3Lhx2Lt3r7K/3d3d2Ldvn2pwrt1uh8PhgMPhUGYZdjgcUedIICIaS3gMzGxZk7nfvn07cnNzsXjx4pjLffDBB/jFL36BoqIiOBwO1X09PT0RJTwAlIylnPWMZ7loVq5cGfN+4ZprrsG1114b17LpSPRqlwfY1NfXK11Z9u7dq2SAoxGZbjloFZnYffv2oaurC36/X6mdFsvJfeb1svpiAim9TLsovxFiDbjVEy2zPlhZSigUgtfrRUNDg2osgUyb/Q8EAhEtIoGBz6LI2hsMBgSDQd3MfG5ubsRMuLNmzVKy3IM9X7fbjT179qg67QADAXV1dbVq3WVlZaorIDabDW1tbarHGQwGBAIBnHfeeVHHTACn3l/R1Uec1ImrOPL6tFcX7Ha7an/lOQLEZFti3AfAgWJENPYwE5/ZsiJzf/LkSbzyyisoLi6OOnsoABw/fhx33XUXLBYL1q1bpwQEgslk0s2Wy101ElkumocffhgbN24c9L+rr7469hNPM9Fq9DZt2oSFCxeiurpa1aseOBU8ms1mZUbVwfqrd3d34/DhwwiHw8rjowWhcu91vd7t8fRyl4PysrKyiMeIWWLF/muDeKvVqsoyR+s/L2ZrraiowKxZsyLWUVZWBgBKPXpeXp4yG6yYSXf16tUoKChQ1cfn5OREPYmS91Xs48GDBxEKhWJmzQ0GA+bPnw+Px4OtW7cq+y9eBzF+Qn6MuAIiXr/W1taIbYiTrsOHDytjAaJdtcnLy8OSJUtgMBiUKxd+v18ZlzB//nysXbtW9X3s6+tTBfYGg0GZjRiAMj+CuMLj9Xp151mINiuyHtbvUzrg55Bo7MiK4P7ll19Gd3d3zJKcEydO4I477sCJEydw5513YvLkyRHLFBYW4vjx4xG3i9vEY+JdLhqLxRLXf3pXB9KZNggSf4ta+q1btyqDGeUA0WazYfXq1aiqqoLNZsPatWuxbt26qCdqIgBMVHNzM8aNG6e6Te7kIoJJbVmMCEZF4CcHyWazGQ0NDSguLlZNNiUYjUaUlJSoMsf9/f26yzmdTmzZsiViQLBo8enz+eD3+9HX14f8/HyMHz9eWSYcDsPn86neAxHUihr0wfT19cHv9yslMWI8g/w6iBIgg8GAw4cPw+/3IxwOw2g0oqqqCjU1NaiqqoLValVKgkSALl5rcVIdq+MQMHDVpqurC5dddplyAiXvT29vr+4EXuKz0d7eDq/Xq1y1sVqtqtfeaDRi3Lhxqiy9Ntg/evQoOjo6YDabEQgEUF9fr0y41dLSorxf2pNWOZDSOzkgGm38HBKNHVkR3L/44osYP348Fi5cqHt/T08PfvSjH+HDDz/E7bffHjGQVpg7dy4+/PBDVWcXANi/f79yfyLLjTXaGj273Q6j0agEyyIoF7Xh06dPx9KlS9HR0YF77rkHmzZtUv3bYrFEZLxjXZmRiZMHmQgCxe2iMwswcMLV1NSkmhxJBIRr166NWIfYn9WrVwOAKog0m83KvlZVVamCRyByQKhYzufzRdwu9q++vl6ZtVVwu93KMiL4tNvtynvgdruV9pai/Eg8JxEoi0DaaDQq+1xaWqqccDU1Nalec3FFQZ6ZNi8vD1VVVcogZI/Hg87OTqWuf9asWaqTG4vFonvFRLx2JpNJ+W6Jk8KOjo6I13EwgUAAhYWFAAY+e11dXREnFCLbL/Zv3LhxqKmpUe4XVwTEcvfdd59qJl3x2okrLiIrKgdS0WpXmUml0cQaaqKxI+OD+48//hg+nw8XXXSRbrlDf38/amtr0dzcjHXr1sXMYC5atAihUAibN29Wbuvt7cXzzz+PefPmKR1w4l1urKmsrFQ6kDgcDmzdulUJgkQQKYjaao/Hg2AwqNS5y/9uaWlRykZyc3NhMplQUlKiGxhqSzdyc3Oxdu1a2Gy2iKsA+fn5MJvNyMnJUYK6np4eJSsbCASUoLizsxMej0dZv/w8CgoKlJpEl8ulPMZkMmHHjh1oamqKqFmUA3bxt1jO5XIp95nNZrjdbhQUFMDv98Pj8ShlLkajUenz39TUhB07dijL+Xw+VZtRcaUiHA4rJyqizajFYlGVNRUUFKhakIp91ztJkPX39yuBfW1trZLNF/Rq5+UrKOJqydq1a1FQUBAxMDgcDivBtVg+npM8v9+v2rZ8cmez2eB0OiMeI1p/RhtAre3gI65YiJabIitqt9thMBjQ0dEB4NT4EzmQZyaVRpM4PrOOmij7ZXxw/+c//xn9/f1RS3J++9vf4pVXXsGnP/1pdHZ2Ytu2bar/ZPPmzcOiRYvwyCOP4OGHH8bmzZtRXV2NtrY2VbYj3uXGKtGVRgR4ra2tmDZtmtK33Gq1Yty4cUpds6A9AZD19/fD7/djy5YtynrLysqU4F2vPly0sRT7AwwE8fLVAyEYDGL9+vWqZYFTVxtyc3Nhs9lQVVWldLSRO64AiNqD3u12K/vZ1NSE1atXKwGqXBtfWVmJHTt2wGazIRgMqrK+AJRBvVVVVQCgyvrKWTm5bMRkMimvq8ViUf2wu1yuiMy/WF91dTUWLlyI66+/XnWSMG7cOKVExmw2K2Us4vUOhUJKC1I9BoMBfr8fJpNJOWGaNWsWXC4X7rvvvqizCgMDJzxiXIvb7VbGIGiXifU5AoDp06fD5XJh+/btEfeJ1p+xyFdnRCmWNivq8/mUk5La2lp4PB4lkBcZe/kqCxERDeBVzeHL+Blqv/e976G1tRVerzdigCwA/Od//ifefvvtqI9/5plnVH/39PRgw4YNePHFF9HV1YU5c+ZgxYoVuPDCC4e0nGyszFD7mc98Rvm3yPgajUbs3r076kynRqMREyZMiFpLr+1UYzAY8OqrryrrCwQC6OvrQ25urvLayl10hkKesVVk2GXyrLuiZl6UjojMeizaLixyX32fzxfRZUheVm82QO28AvKJgF63F3mdIoss1rdw4ULV6ybPURDtecnrE9sUz0X7f5fLpZS3GI1GTJs2LWpQLZ6H3FpVvB+il71433t6etDX1xcxqFl01UnkcGez2VSzGOvtl3iNysrKUFxcrHr+ojwpHA4r2xcnSWJg8dq1a5lJJSKSDGW227HQ1SyRGDLjg/tMMlaCe3nyoCVLlqCxsVGZkEqvHaNcu15XVxdXT3kRTMn1z3IwW1dXh+7u7qgtFc1mMwoKCpRATCwv71tZWVnMYF2uLxdlL11dXQiFQnEdlLQHsEQOaHoHMvH4eAJx7fa1bUurq6vR2NiIoqIitLe3D7ousbzT6VTVrMv7qj1pkR9TXFyM9evX665bvsIhf36sVqtqki4AMU8OxURpscgndPPnz8fBgwd1P48GgwGlpaVK5x2DwYDp06crJx/z589He3u78pzFCZd2G+K91ns/x8KPFaUvfv4oXrGOX3rJqqGsb7DltAmqbMTgPk1lc3Cvl7XVftH1AnuRgRWP18uUijp0cbvVakVJSYnSn1yUgIgrBNorACJIl/vBi5lQ5Yy5y+XCnj17ogapgz13bcZc72RAL1Mf7e9EJfr44WxP+1iR6Zev0GgPuiLTHe3gK/8YbN26VZmYLBwOq4Jg7YBWEWhrZxGWzZ8/H83Nzaq6e/mzKCZAG2wuAkGcHB47dizmZHPiRMtutysniiUlJaqTRgCqqxjisyNOvqJ9nohG0lCypyOFJxqJG83XTO+zIh+/4k14RaM9UdAmTeQxWPFcNc9UicSQGV9zT+lBOzhQDJaVWwfqnUf6/X44HA7U1dWhpaVFN7BfvXo1TCaTUqcuau9FYJ+fn4/S0lLlIKLtYrRr1y5l4Kk8+FTsq9h3j8cDn8+ntHTU0tYBir8BoKGhQamtjxaIaV8j7QC34Q54S/Txw9me9rk4nU6lNEl7v6hHdzqdUWvMtQdv0bFH/F88prKyUmm1KZ/UyT31tcxmszJDrdwBScxZkJubi3A4HHdgLyYFa2lp0S0FlPX09KClpUUJ5nt6erBr1y643W5lILUYqwCcmsgMgNIdSb5ND+tTaSSkU3cd7fFmJD/z2fJ9Gs0B+3qflXiO+7HotRMWrYcbGxuVq6RiTJrf748YVzaWMXM/isZK5l5bG22xWAYdpBiNXG4hyjPkzG1eXh56e3uV+7xeL1pbW1UnEtp6+WgZc5EFiJZhGE4Zjd52M9lgzyXR56qX5RGfJW3WW2RuxNUYUU4lPivayeT0SnX06viFsrIypfvNYOL5fOvV+4vMf2FhoW6pkLwPg2XutZ/DbPqcEQHxjTlK5PGxjPT3aaS/n8Mphxkter/BHo8HwKnMu7ZsVP7dF2WP8YxXyybM3FNKBAIB1NXVKe3/BG1/diD2zLBitlWbzabqJgOcytzqzQYrMtEiiy8myJLXoS0f0su8R8swaLMTiWa2sqkV3WDPJdHnqpflEYG3PGOsyNiI2woKCrB27VolsHe73coVmqamJpSUlOhuLxQKYf369SgsLIxoT/rCCy/AJXUSikVk5mMR7V3lz3x3d3fEZGWyLVu2KN105MBeL6uo/RzKV6KyIQNJ2W+wbLn2eJLosTeRLHa071O0xyaa6R+pjLrYD9GZS7RFTuT3JpHnMtiy0a50y5n49evXKzPXy7OCA+r3Qfu7397erir/2bNnD4CBq/RsLzyAmftRlM2Ze7lzDKAesCp3x5EnKYpWBjFYpl2+LdEzdTkbACBtakopkvwe62Xu9WovRYtSMRhYrrPXEy2DL/+oyHX+4spCtO5OciZf26lJDAIX3Z36+/tVg3C1tJ9L7X5Ey+Zrr0TFO8CaKF4jdeVuqMfi4ezPcJ9LulzBHayhQjzbTeS5DLZstCvdes0P5HFx8ng4LTnDL4+7E8fabD/WMXNPo05kOrU2bdqk+hKLUologb3BYNDN1osMhFzn7nK5Er4EJ2cD0qmmlCKJ972mpkaZPVhMsFVcXAzgVKYGOBWQiwP+3r17VXX2osZeNm3aNNxzzz0RAXZLSwvuueceJes0YcIEWK1Wpa+99oRBXG2yWCxobW0FgIhsveir39XVhb6+PoTDYbS0tCAvL09ZRu7TL2bXFTweT0Rtvl72TLxu4kqUeD51dXXK3AXM6FMitJ+zwbLPiWanh3ssHk42fLDHDnYVcrB917522vUlq8Zf7Ifb7dbd33iuQAQCAVitVrj+b74U7X7V19fD4XBg8eLF6OjoUJaNtT/ifjFjvdx4QvD5fGhqaoLJZFImbQQGurAtWLAAixcvVjL8wMCJgZgkU8y1Ij93AGP+GMfM/SjK5sw9MPDFFy0l9TqPmM1mVdtCYGACo+bmZuTk5KC3t1eV8R8sSwIw8z5WxcpSxWrj6XA4IiZOEwGzuKqkvV9k6G02W9Qsu6gBHaxER3wHtLTde4R169YBgO7cELm5uejv71e6CYlSJu0VLvFDKVq2CvzeZJeRrOVOtA492Zn9wSSaXR+su1syxZvhHk7GPR7aunZA/by13bnEyUCsTmWJzH8itwPWKisrQ01NjXJ8FnOAaLcHnKoKOHr0qBJjiDF32rbQ2XaMYyvMNCXemJkzZ0bMolleXo7y8vIU7dnw6H159YIVeSKf1atX6x7A5PKKwYIVUaKRrZfgKLp4fvDiKecqLCzEvn37lM+k+EGTO/HIP2CbNm1S6uS1ZTfRJsrSOykwGAw477zzVCe2enJzcwft4iM6Rsk9/0V7WdF+Vm4fqz3p4QDc7DCSAU2y2/SOdvAV7/aT+V2It3R0sFbK0YL/RE5Q9H5f5bI9cbwQwbS2oYFc+mgwGDBu3LiIhgXaify0JY1aYsZxUU4DQNUgQZRYirlEBBHIa1try22Ht2/fju7ubpSWlsbd0joTMLhPU9mauRdn22LwYXd3N6ZPn462traI4EdkLQfrdS4OLHoH4Gw9K6fkiudzkkhGT+/Hes+ePaofH3liLUE7T4Mgtilnq8aNG6fMuBsKhQadXVl+jLy9HTt2qMbByONYBgt0GOxnplS+b/FmzuUATDtj9VCz1UN53vJVZjkATOZvi/he681urrfvAHSD68LCQjQ3N8NkMiEYDEZ0j9FexZaTYgBUQb18giCuBmqPDdrsvhxEizlFampqlGVFcK8dhzR//nzs27dP94qkPOGkPBGkTD4BEY8BoDub+WDH2GzBmntKCZPJhIKCAoTDYbS2tkYEJnKv+mh1enI9YrRaxuHWZ9LYEM/nRLuM+PwBUP1AartQiB/Q4uJirFu3TtVZR2S0hGAwqJpATWhpacFnPvMZ5e/p06fDZDLBbDajv78foVAIubm5EY8zm80wm83K1TFtZr+vrw8LFizA0aNHkZubC4PBoOoaJE6aRTcd0ZWnsLAQCxcuxE9+8hPl/rFqJHqdj3T/9FR24xqsnlt8zwCo5n2I1t0k3hp6kRkWy8o14Q6HI6JeXLz+lZWV6OnpiZgjw/V/Y8cCgQDq6+tjdnxJlN5j5ecpz+Eh5olpaWlRmgKI309xn6g3DwQCKCwshNFohN1uV61T/FsEyD09PSgsLERtbS0sFguMRqPq2FBZWQmLxaJ0rfF6vaqgOxwOY9euXaioqEBdXZ2qzCYUCuHkyZPK33v37tUN7K1WK5xOJ7xeL/bs2aMb2ANQ7bdYfygU0i197OvrQ3d3d8R2xnKMwMz9KMrWzL3IPkTr2S3KBrJ55jjKLnL9qZyNMpvNWLJkiTKDrpz1kuv59crS5FKfeIi6UwBYv369sv3Vq1crWbtotfqC3uyQ2oybqGEdbH6IsWQkrg4me53DqWsX41ISmYk70X3Ru01sV2Shh1pnHq2URQSzgt6MqaIERHRsE98pvXptALp16HLmWXt1L1rZqN77H6u/u/jdlGe0BhB1zBAA1Xg27ezXsYjJIefPn4+lS5cq+zRr1izVb7p8pXCwY492/V1dXXA6nSguLtY9funNGj6c8FTueJYtWJaTprItuBeXNkUZQbTaYDFYhihdaS+Py5eKxQ8fMPBjqr0sXFZWhu3bt0eUxoh6UuDUZGuxxBqwa7PZ0NbWBqfTqZrcSq8dp5CXlweHwxHRYg5Q/+CLH1G5bG6wibOynd4kO8MteUl22UwirQi145cWLlyoBFfTp09XlXAMdSKgeOratYGrNuET72sUqw7d4/GoJrITQba2vAWAqrWt+LzHKpWRa8C1wb/T6VRO+sX9osxN7JPc5lF7oiOfMIhSGHHiLU5iog3IF+TnM23aNKV0cOvWrcr3XJTMFhUV6SbjtMcBbetfg8GgNMyQ7x/sBEKsTzxfvZJCuUlAMozlshwG96Mo24J7beeRaLLtC0bZRy9bJwcOe/bsUTKdxcXFqjpUvR82UZsqz6YLDGTC9OpQ9Tr16NEGGGLbubm5sFgsOHnypHISoR1oCwxk0OTL4GazGWeeeSb27duHnJwc5Obmxuwznc1iDYCMt6NJMmfIHGydg52AyNn5Xbt2qeqrtYGlNlDVXu3R2y/5hEC+aqutq9dm8+VgWbt+bceWaCdWg42Nka9MaTPA2m5t0fZbfG/lDD9wqq7bbDajr69PSWrJxwFx1a2yslL1Oyk/5wULFkQcB7Q94LWZ7dzc3IQG3+uNARInIj6fT9VxRo9calhSUqI6eRlMtIBfPCcxyF87YDbZtLPZZjIG92lqLAT3YiS7XqaCKF0l2hpPe/ldm7kHTv2QazOY0dpxikwWEDkwDFB32InWHk50/4n3sK4dtCa2I8qBxsrAWr2JyvRO7qKVk8hBaazAWLvNeAahatcZLdjVBs3yCYl8FUpvgkC9ieIG2y/5hECPeI1ExnzatGlKxlgEWwAiTkhEsCdOeOV9B6D8roj91HZYi1WGYjQalcnt5JMeIL4ykMGWESfZ4jdP7lil/V4dO3ZMFajrle0NlqmXH6vXfnow8lXJZBInFfLJj7j6KL//emVUbW1tSgcx0VggVkcx7XOIdpU0G8oMGdynqUwL7hOp6QTGTiBApEdb0wsM1L2Ky+IiMy5n/kwmk6r9m6hNjecSdzLMnz8fhw8fjviBH2vzSMiBtMhqykEjoL6aI98nB9yJZO4HK6uJNl+DNrsNQHViIoJWMQuyKH0Qy8tXobRdYsQJZl9fH/r7+1FaWqpqbyg+y6J1LICIloRAZOcUrbKyMtVrHK1mXqYN4uSTYlGbLiaw0yO2Ie+vCJ7jDezPO+88JdMvAmptGcm6det059UQGWS5paT2ioL2JHuwfZLLXLSvi1ZeXh7OOeccVSlOPK124yFfARRtMuWrFfJJlzjBilUSJLfbFMlC+bXRdt4TJwriJLWnp0dVFikes2PHjmE/11RitxxKisE6FsidRTweDwKBwCjuHVF6ER1B3G63quOEz+dTutpos3Dikvm4ceOUDKv8gyRmvtXOrJsse/fuVQUfouvP0aNHlSDLbrePyLbTiXjvqqqqlFmQS0pKYDAY0NHRoXQUEjNgitl/5S5LdrsdjY2NsNvtMWcfFbeJdUbr6OHz+RAKhZTA3uPxwOFwwG63w2AwIBQKwePxwOv1qurGfT4f/H6/MguyyWSCzWZTOpSImT0bGxtRX1+PxYsXK+91OBxGMBhUHrtlyxZlBufa2lqlLKOnpweVlZWorKxUrjYZjUYYDAaYzWZUVVWhpKQERqNROTmSNTY2oqWlBZ2dncpzEScQ4rMuSkKEzs5OpR2i2WxGUVGRss8AsGXLFuW7U1ZWpiwr9mnChAkR3V/6+vpgtVqRk5MDg8GA+fPnR8xBYzabYbVaVYG92G4oFIoIwNevX4+FCxdiwYIFEd1j5A4w4XAYubm5ymvU2dmJ3NxcpRtWTk6O7ucCgNJFS9uZK9ptAJCTk4P29nbVbXJgL79Pel26BPE+i39brVYEg0Flzo5gMIiuri5l+Y6ODtTV1alm19YL7IGBNtpGo1H5HPr9ftTW1mLWrFkRy4rOe6JDkPj++f1+FBQUYNq0aRGPGUuz1jJzP4qyLXMvyP20x0KWj2gwegN0xSA/vYmutANwBVHmBuhnSAW9bJ3IysU7SE1kfbXZT9FNZKxdmYvnuCa/z3L5xauvvqoqlZEHkGo7rojX8/rrr8fevXuVrLdcHiNntG02Gzo6OhAMBpXuTXImXlsKIsZ+aCcZ1CvxGqwMRHxOxdgTvZmTxXMFoGTlxdUQkVmVr07JmXe5973eBEbyNoBTgb02Ay0GlIoyEL1SNnnZWFfK9OrWk0mvNCba91mU/Mifh0RKa2K9v/KVAvF6itd5+vTpyvbk91NczRmsbn6wqxDiOeiVCYptRjs2yt8n7dUrAEq3IVHelckxCsty0lSmBffx0mvnRTRWxHsSrK1vFj82cgmDuGQt181ru27IP3ziR1GuuZWD8UQDgGg/wvKPb6b+MCYqntmw5Qn85HIruV2pTAQkcomCCPDlOQ/EsqJGWK5FlycHEoGxtkRIPh6Lz4w8g3Ksk0m9z4ko3xKvhfz5jYdeuZNM+/rFM7g8USIjH2/Jm17Ji6A9mYjV6SpRVqs16sB7bXtMUXolB9/ycgASCvy7u7t1a/flk0j5cwuokw56pVPiSoIoQdR7PWOdYImOTq2trRFlUOLKl5w8AaAqc5TL6DK9CxjLcmhEiYlCxCQhlZWVSikC0VgzWPmadjmfz4empiasXbtWKZcABn4Yq6qq8Mgjj2D69OnK4+x2u3Ji4Ha7lWyawWCA2+1WLmOLH+RgMKicRIjL611dXapL7dqSByFasNbT0zMmJo7TTnTU1NQEt9utlJGIib+0l/bl1oFLlizB+vXrlWBF+1pXVlYq73koFEJdXR0WLFgQc5/kiZbkyYHC4bDSBcflcilXC/x+v1IaIcol+/r6lIAvGAzqBlM9PT2qMSPC4cOH0dXVBb/fr5Q+yFlewWw265Z0hEIhbNmyRQlAta+JHPB1d3fHDEjz8vKi3ieT98NgMKgCSJvNpnSf0fsuiO+ldmIk4Xvf+x7mz5+v/N3a2qpb0qPdj3j4/X4cPHhQ97so3m+fzwe3262UT7W1tSnvm6hX9/v9ymdjsNI+8RpEG5QbDAaxZcsWFBUVKa9jbW0tPB6Paj+175so4RIlNmeeeSZsNpvqPRSTWkXbP/H8RBnUeeedp7yfra2t2LRpE7q6uhAMBpX/xIkvANUVr0wO7BPFzP0oypbMvXZae/nMWDuYcKx8kWjsSjRzr11Or80icGqQpHaQrdzzvqamRhl4CcSflbTZbFHb4MnZe/FDng2D0WLRTooUrTc7ACVwELXiQrRBoWVlZUqJgN5ERXo/waKUKlp3JEDdFUR0YtFuW5tJlTvORBuEWVZWpmp5KGfS9eZ5AE4NFo1VSqNdVpQWacV7lUmUqVgsloj9EeUdoo2llt5nPNo+JDqZUqKDVONZXrzuInst4gd50KpcqiV3qRFZfL3XKdrnJt79lT9P0coNte+x3mRV2pa9etsUGft4e+rLZTtyN6hMjkuYuacR5fq/KbrNZjM6OztVgX5nZ6eSMRgsk0mUDcTA8sF+MKItJwZzAlBNRe90OmE0GiPKJ1pbW7F7924UFxejoqICu3btUgb2iSydTASiwKkBcC6XC9/73vdgtVojMmbyD6/YbjAYxOLFi7N2MJoIbjo7O1XT1tfX1yMQCMBqtSI/P1+VMZffEzkr6HK5VNngxsZGuN1uJdCorq5W1ikGo2qJjOzevXt1A5mysjKMHz9e+TscDqO2thZ2ux1WqxW5ubkwGAzo7OxUPc7v9ystCmXyNrZs2aIEUWVlZTCZTAgEAjAYDCgqKtINAvft2wcAqplUAehmY/ft24eWlpaogZxeDb+eKVOmKONRZHLddrSgWZQmiRMX7fbkEo/S0tKEBrTrZepjPT6eE4FQKKRkr/v7++H3+1UNLNra2pTXMxgMor+/X7lPZPu175vZbEZpaalyUiuz2WxKtj83N1f1nOS+/rNmzUJXVxeWLFmCtWvXKlcurFYrbDYblixZEnE1Q+7bLwJ9vRp7eVC0uOokrqjYbDblSsn8+fOV/ZX/L382tm/frsQlomQt2zFzP4rEWdfMmTMjPvDl5eUoLy9P0Z4NjZzBl7M70WYfJKLoos3wKeqjAShZdLmmW87si4yzXKNdVlYWUSsrtiOCWr3ZIvVEm8Qpk8kzbQOnJgrT9rWPVS88YcIEAFD1N5fXqdfDXFvTPVg2WdwuBgvq7c9gLSjjJT4negNmh0IvW5vIXAx6JxTz58+P2k4R0J8rQs4AxxpcKmen161bp7QPjdbCUSY+K9Hq14FTk9zFat0pP8/Dhw8r9fXaK0ZiXWKuDVEfL2bljTbvRaznbzQasXv3bgCnxp7IJzyiVaocqIvsuzhZkuceENlzeR9FK1U52NbWxQ9nPJ92QLs8LiBT+91zQG2aypayHEH+8gBgSQ5REmlLReTAWr6MLnpMi4l5iouLVYGlCAhFf3JxEq794Y0n0BABQSb/QALqEyn5tRSBhRwUTJ8+XTUIVDsAWg6mxUmSXomCHu0AyVgdlYD4B26KAFdv0OxgxHPS6y8ebVuJdpJJJLiXT3TkMjHta6R3QqTdN/nktrW1Na4TDnnmWvk7IsrjtCdo8kDWaK+NmHROu069fdB2kNEuo53oSaxb/myLkxVRvqN97cTnSiQKok00JV4L+bUzGo0wGo2qyarEIFcAEd2+5Nl7gVPfRTHZmXZeh8FEOwEQg93FyQ/LcogGIQadAUBVVZXSb1bb35uIhk6U8Yie6qLHuij9EFf/RI/pUCgEn88Hr9erCiiKiorg8/mQn5+PYDCIzs5OmM1m5VJ8Q0OD0lNdMJvNqlICg8GAdevWRe2hnWk8Hg9aWlpw3333obW1Fbm5ucrAPq/Xq/TINhgMCAQCKCkpUV4T0V9dLA+cer1Ef+54A9dwOAyLxaL0ppcHBOrRdkSJpaCgQLmaoy3ViiUUCsHv96Ouri6irEdPd3e3UiYRL9HjXS5f0ns+4sRU2+lGHjQp5mcwmUwRn1ttYC0+vw0NDSgtLVVuFyUqemVqoqRFzA8ADLz3HR0dqr/Fc5Hr4OXvi9hPsa9icL38GypODOTnHwgEVFnz6dOnKwNKgYEseigUUsZfdHd3K/MSiLkURCAo1iVn3MX7VlZWBovFAqfTiebmZqVEUJSZiXKllpYWpQf//PnzsXv3blWgKeZ5kGMBeX6BcDisig/EyYM4hsnbjofX641ZCpyfn4+ampox1/SDwT0lTPwwejwepaNEU1OTEnSMha4aRKNFr1a/srJSFRQ4nU5YrVYEAgHY7XYl0DCbzTh8+DBaWlqUAEGeIGb9+vWqGvD58+fDYDBEdJyQgw65936mE7XtoVAITU1N2LVrF1paWtDa2grgVKC7a9cuFBQUIBwOY9++fUoAJ2p5xURk0boQxSImydLrtBKL6Bqip7u7W1mn6Bsfi16HHPkzoJ2ISl6+tLQULpcLBw8eVCaMikdfXx9MJpNSI11aWgqbzaZsKy8vT5lUTJxECeK1mj59Oh555BFYLBYEg0GYTCbk5+crNeLya2o0GhEMBpXuRNu3b1eeR3d3N3bt2gW32421a9fqBvnypFLiPQcGThjEVSz5pMzlcindrICBjkMWiwUlJSUABjLuLS0tqKurg9vtVjozyfssPn8mk0m5vaWlJebJo7hPnOzLCQJxuzB9+nS0t7ejpaVF6Qgll/CJ7Ln47Hd3dyvZe2Bg/ITD4VAmLAOgfNbkWEAepyePaZGXE7X04v92uz2uSafEurXrdbvdSomUw+FQ4paxknhkWc4oypayHHG5K9MvzRNlE23XHXEpX9TsR+vZLTLO4nEiOywmOhJTygNQpoaXL6tnEu1cA2Kswvz58/HII4+o+tbLpQtiTJHctWgw8XQKEUQQJJdTDYc8BkoESnIHHEBdfy7Pk6CnrKxM1QVn3bp1qkna9Hr6R6Mtn5HLw1wul2oOAFH3LY/vysvLg8PhiJikSNArl9KbPwI41QRCO6cEEDkWQ5S7iK40ohxGdK1asGCBat3iPdDWoevR6+wiz4Oh7SmvLTUR8zCIchlRTqYtbZE//2LeBgCq2/Q6y8gluOL9kt9z7XuYjGODeM+HM7eG/LnJhrGArLlPU9kS3Gtr3ABwEiuiFItWoy//rQ1O5cGHIsAQAUS0iY6AzJ2JWg4YAHUPbLlOWEwiBETv/Z+oWC0PxftgMplQUlISMf4h0faK2nXLzQ4AKDN1aoO0aNuRB//m5uZiypQpEQO/tcT4A0EvwNUOLJUHo5aWliqz4IoAWQwilk++xAmTeD7y51dsUzurq3iuFosFJ0+eVEpa1q1bF/H7JSezxDgEQR67UldXF3MSKJPJFHXiL3EFQU6aaWe59nq9SvvaaK1pRVtceQZh8fwT+V3WC6y1A/7jHewab6vgoTxO7zUSg4jHjRuHJUuWZM3stACD+7SVLcE9EP1HMtNngCPKdHo/wnpZVnlGU73lxUmBXicdvSAoE2hfCzlwBOKfzVMWb192PfIMs4I8AFoujdLrDZ7I7KPaGWAB/cGOeiGByJZrZ5gVtfwiqy+C7nHjxmH16tWq4F/v6sT8+fOVWmv5BEIEuPKJgzywVN5PbQZ98eLFygmAHACLTLw4cfD5fKq5BvSCau33R5wgaDPV8u1ikKwY4CreL7ENAEqwKZc3iRMXvStj2nkR4rlqrp2PRm/5aAH0UAPyWPsxEoF1tDhEkK96JPOqQqpwQC2NOL16OtGia6zUtBGlI22Nvvy3qNUX311tsFtRUYE9e/YAGLjULwb5yQMDzWYzvF4v6uvrVTO6ZgLta9HU1ISCggKl//tQdHZ2JjSYFIDSh95gMMDv96sGl4ZCIWzfvl0JXseNG6f0WjcajUq5lMViUY2tEINa5XkN5H8LJpMpovFBfn4+rFZrRE938e/e3l40NjbCbrer1tXY2KjUWIvgPBwOo6CgQPn8acdhya+zHNhXVVVFDNguLCxU/m2325Xa7vPOO0957mJA6a5du+BwOFQnofJnU64dFyUpcq2/fBVa1MKLxhHiMyOPY5A/S2Jdcveb8ePHK7Xg8jbk2anlJhSirl474FR+DbX7Guv753K5Bh10LU5KtNsTz0l8z4djJMfhaeMQ7bgVbTyyZ8+ejDpeDQcz96MomzL3gH4WDGBpDlGm0Mt8iZpouYxHL8Mo1+hn2uVu+di1adMm7N27VzXjKxC9Pl70EZdr0LXL6rVqFORad/nx06dPV+q5Y/Xl1vbvluuItRle8X9tRh2Abta5oaFBt4Wgtg2jKNkqKirCwYMHI/qry/XbIpDW7p9oASrfr80YL1y4UFXXDZz6jGr7+ctXJ7TlR+IKVTy/UfLzl2vetVch9NYpXstErmDrlZbEm2EeLCs+WAY+1v0jmXEfKdFiEuDUWAz5qmWmYVlOmsqG4D7aJUoAGXcgIBrr9AILEZDJJRA5OTno7+9XBXtWq1WpDxclEZlAOzhQ7tkdrfRDplcSIwe77e3tqkGJJSUlEYNZxXrE6yrqtEXJTCAQQF9fn1IXLjK1crmUIAf/4v0UJwnifkBdHy6XIw0WYAOnAl5xYiJOErR17OL4LwJDbTAVK5jUu6+6ulqZn0GclMiTtwH6JS7i+Q4WmMcqSZGz8NHKO7RlQ8keVDqYZJbPjOa6R8tgJ5OZhsF9msqG4F5bPynOjDP9S0NEatrae2H+/PkRE9xk0km9HHhWVVUpNeBioChwKjtsMpmU2TinT58e0Xlj1qxZyuRh8smNtnORXgcUp9OpZLflqwByDb8IjuVMtLbDi15m3+PxqAYR6tWHC/K+RAu6tRlQ4NRMvlu3bkVOTo7S5lHO2IuJiQY7+dOecMX6LMmDRmtqanSD0FgnrdqT18EGjcbar+HMoEojS/s90J6gaa8qZQIG92kqG4J77cGPbTGJslt1dXVECYqYah4YqOHOpMBGr9uX3kkMEFkKInewkcuWtAGiNhiWg3wRUMglHNr1CtrOOSJAETPHisGX4jnI2WaxTW2ALfZPdKURgY/8GDngkU+GnE6nMpOuPAhZm7GP9nc02hOuWJ+lRMtFou1TrOcaK+CnzCDeS7lcS/7OZmKJDgfU0oiRB9pUV1fHNYMhEWUuMWBSnoVVnk3VYrGkfdAjDzzUzp4pjmlixl6ZmBRMnlxHTLoEQMmqd3R0wOFwKIGg3+9XymnkEwQxqZA8CFPMeAsMvMZi0GVTUxNqampUk5WJzCMwEKiIririREEuIxEzGotBq42NjQCgDCTesWMHSktLlR7w8n7KgxDFQEUxKZI8CBk4VY4iltX7e7AJicRy8dSpJzJAs76+XpmgTbtP8ozPsdatN4kcpT/xXoqTUKPRqGrtazKZIia+yibM3I+iTM/cay/TiwN+trWbIqIBcpZXr12k2WxWWh6mM70yGb2BnoJcVz/YYEW5vj1a3bVe+YZe2VO00o9YV0vldeuVR2rLWPRel3jr0GPV5cfz+sebJU1WtjwTB4VScsmfJfmKVyb2vWdZTprK9OBenr1RnnlP26kh074wRKRPOzBSOxFWpnzXtYG0Npi12+144YUX0NfXh7y8PNxyyy0ATiUr5H9Hm+RI7k+uF5zKZQLyjMGiDEc7wFVbGy5OTMTJhLYX/FBKSUar5GSkTwaStd2hPoYygzjRnTZtGtra2jKqEQCQWAyZO0r7RJI1a9ZE9GMtLy9HeXl5ivYoMXKfZG0/Y/nHkIgym/hOa6emF4FopnzXRV978eMu+rWLcpa2tjZl8Oz48eMBqNvoieVEGY9MtEC02+1KOYu8vPhbbFN05+nu7lYy/XJyRJTWtLW1KSdUoouPuPpQUFCgKjPRHndj7a/e6zLSEt1Osn5LhvL84n3tKPP4fD7Vd0uUHGYjZu5HUaZm7uXslrjkC7AEh2is0OvAkgkZey29bl/iOcmzf4r+/UD8LQ6169Z2pxGvWbQyGe1xVls6lEhGmdnnoeNrl53kEkMg8xoBACzLSVuZGtwPdtkXYKBPlM3kmvRMHmOjN0+H1WpVJuYSYwiAxCfli7denYhGnvZ7p1diqO2WlO4Y3KepTA3u9QJ5uXYV4ARWRNlMO7BWno0zk773ejPTzp8/X+koYzQasXv37lTvJhENU7TB4uKKmHbsSiZgzT0llVy3KHedkFuGsdaeKHuJY4D4/tfW1sLpdAJARn3v5XrqtrY2AFB6wItSGSLKfNpxG9rxFw6HQ+lylY3Y557iVl9fj46ODhgMBpSUlCi9f9kHmCh7yT3iXZqe55n2vZf7mIv+8jk5OSguLsbu3bszqnMGEUUn4hIAunMsiDkoxER22YbBPcXN6/UiGAwiHA5j165dqd4dIhoF2s4vEyZMUCZ/kQP/TCAnItrb2wEAvb29qK2tzZjnQETxE8cv7Xc825OSDO4pbi6XCwaDIdW7QUSjSM52e/9v9lVg4EfT4/FEzGiarrQnIi6XC1arFQaDAaFQKCOeAxElRr7a6PV6My4hMVQM7ilulZWVynTlJSUlY+ZLQjSWyRkuEegDiGgVma7Ecaqurg4tLS2oq6tDRUUFAKCpqQmlpaUwGAzo6OjgsYwoy1RWVsLpdMJoNCpzUWRKQmI4MnZA7QMPPBBzhLPX68XkyZMBDFx2feyxx7Bt2zZ0dXVhzpw5WLFiBYqLiyMeF++yiawzm4hJIHw+H3w+Hyf7IBpDxBibTGrvKH7MxVXH7u5u1Y97Y2MjwuEwgsEgj2VEWUSemVrELWNlss0hB/fJbB3kcDgSfswVV1yBT33qU6rbwuEwPB4Ppk2bpgT2AFBXV4edO3di6dKlmDFjBl544QXceeedqKmpwSc/+UnVOuJdNpF1ZhPtF2MsfEmIKLJvdKYEwdpZdgsLC9Hc3Kxk8UKhEAwGA/Lz83ksI8oi8lwWVqsVgUAAADKmde9wDLnP/dKlS5NWf/30008nZT3vvPMO1q1bh+uuuw5f/vKXAQAHDhzALbfcgpUrV2LZsmUAgJ6eHtx4442YOHEi7r33XuXx8S6byDplmdrnnohIngSmqqoqY4J7Qc7iiTk64pl5logyk96kdZk0L4fWqPW5nzNnDi666KIhP/7ll1/Ge++9N5xdUNm+fTsMBgOWLFmi3LZz504YjUZcfvnlym0mkwlOpxOPPPIIPvroI0ydOjWhZRNZZzYQE9gA8c/WSETZxeVyoba2VhmYlmnHATmLJwJ77RWITCo3IqL4uVwueDweBAIBVFdXKyU6QObNtB2PYQX3Z555Jq655pohP761tTVpwX1fXx927NiBoqIiTJ8+Xbn94MGDmDlzZsRZzrnnngsAOHTokBKIx7tsIuvMBtoOGfwxJBp7xPc7U0vx4snSy4PteDwjymzy97mhoUH5u7GxEaFQCLW1tZgwYQL8fn/WfeeH3C3HYrFg3Lhxw9q4yWTC+PHjh7UO4a9//Ss6Ozvxuc99TnV7e3s7Jk2aFLG8uO3YsWMJL5vIOvUEAoG4/uvt7Y25ntEiWsaJ3taysTLynIgyuzd0PPsut/0kosym/T6LWMZkMiktcDs7O3Vjm0w35Mz9k08+OeyNu93upM0Otn37duTm5mLx4sWq23t6epCXlxexvMlkUu5PdNlE1qln5cqVMe8XrrnmGlx77bVxLTuSYg2eGysjz4nolPr6etTV1aG7uxulpaVZM7NrJg0UJqLYtN/nyspKpRLBYDDAYDAgHA7DYrFk3fc+Y1thyk6ePIlXXnkFxcXFsFqtqvtMJpNuBlwE4CIgT2TZRNap5+GHH45rQK3eCUS64Y8h0dgjZqsGgC1btqCxsRFOpzPjgnyWFRKNLfLYIavVCovFkpXJyayYxOrll19Gd3d3REkOABQWFuL48eMRt4vb5JaZ8S6byDr1WCyWuP7LhOCeE1kRjT12u131dygUwtatWzPuWCBm2BUNA4gou1VWVqKqqgo2mw1utztjywwHkxXB/Ysvvojx48dj4cKFEffNnTsXH374odLfVNi/f79yf6LLJrLObCAH8OLf1dXVqKioyKjp54koOXw+n/Jvs9msXN5Ox2OBNgFRXV2NhQsXorq6OsV7RkSjSRwLgFO97uV4JpMSE4NJenD/+uuvY9WqVclebVQff/wxfD4fLrroIpjN5oj7Fy1ahFAohM2bNyu39fb24vnnn8e8efNUXW3iXTaRdWYDObsljzbPlOnniSi55EH2q1evRn5+PgDAYDCk3bFAHLM8Hg8qKiqwdetW5UoDAFit1qSN/SKi9KVtAKKNZ9ItMTEcSa+5DwaD+Oijj5K92qj+/Oc/o7+/X7ckBwDmzZuHRYsW4ZFHHsHHH3+M008/HU1NTWhra8NNN900pGUTWWe2EQNoxSyPJSUlGVdnS0RDJ+rU5TkvRFlLfn5+Wl3irq+vRyAQUMZiiYQEMDCjud/vh9VqTat9JqKRITcAkY8NJSUlqr732SDu4H7Dhg1xLXf48OEh78xQvPjiiygoKIioAZWtWbMGGzZswLZt29DV1YU5c+bg9ttvx/nnnz/kZRNZZ6Zzu90R085XVFQgFAqpLs8TUfbTy36l64+j6Iwhri6KgXRGoxGhUCjVu0dEo0Q7eL6iokLpmrNr166sm6DTEA6Hw/EsuHTpUpx22mmDdnnp6emB3+/H008/nZQdzCaJTB2cbrRfDM5aSzQ2yd99APD7/TAajaiqqkq744Deccvr9cJut2PXrl0AePwiGgsqKirQ0tICm82GhoYG1NfX45577oEIgcXt6SyRGDLu4P4b3/gGPvnJT+K73/1uzOV27tyJ2tpaBvc6Mjm4134xot1GRNlPfPetVis6OzsRDodhtVrR1NSU6l2LC1tgEo0tet95h8OhZO/Xrl2b9seCRGLIuAfUFhUVYd++fXEtG+f5AqW5+vp6OBwOOBwO2O32iIGzdrsdRqMxZkkUEWUfMfOj2+1WBtNmEs6sTTS26M1Q7Xa7YbPZMiKwT1Tcwf3SpUvxhS98YdDlzj//fA6wzBKiXtXv9yuXsIFT7aR27drFunuiMUj8UApiUFq6tZOLNg+Hdlp6Ispu2jbe9fX1ugF/toi7LIeGL9PKcvRqa202GwAol+TF7G7Z+OUgotjk0jwAaVemJ5cPCfLgXx63iMYGcSwQg+m1x6lMKNUbkbIcGnsqKyvR1NSEpqYm5fKVy+VSynFKSkqy9qyXiAYnZ8BF7/tAIJA22Xu73Q6DwaBcgfT7/VnZ05qIYhPHqqKioohy4vr6etTW1mbVcWHYwf1HH33Emf7GAPnylc/nYzkOEamOC5WVlbBYLPD7/WnzA+nz+VRjwAwGA6ZNm8axQkRjjDhWtbe3R8QvXq9XaZGbLaV6ww7uu7u78fbbbydjX8aMNWvWwO12q/579tlnU71bcWO9KtHYlim17PJMularFeFwGG1tbUxOEI1RescocVs6tvMdqmHX3B8+fBjf/va32foyDplWcy/LhHo0Ihodci17poy7YY97ItLKpNiGNfeUdGwdR0SCyIh3dnZmzHFBXJavqalJu/IhIkqNbI1tGNyTLu1l93S73E5EqSPq68PhcEbWqXKODqKxa7A5fLIBg3vSpXc2GwgE4PF40qYTBhGlTjrXqcrJCb3xAWwKQDR2yXP4+Hw+pSVmus3TMRwM7kmXNlMvfxnk3vdENDal8wQwcnJCL1HBK5FEY5c80N5ut6OiogIejyerynMY3JMueQbKiooKpV80EZGeaB10UkHbf18byKfziQkRjSx5Dh+fz4eWlhb4/X6YzeasOeHPTcZKOMlt9hJZr7a2NpSWliozOxLR2CV3mAAGjhOBQEAZpJrKoFk7s7bowU9EJMjds1paWgAAPT09WXOsGHZwP2nSJPzHf/xHMvaF0pD44Iv61HSZVp6IUkPM5hgKhZRL2C0tLTAYDLBarSk/+RclhOLf2fJjTUTJIxKXAFBWVobGxkY4nc4U71XyDLss57TTTsMVV1yRjH2hNCFfXhcDzjKxIwYRJZ92NkeXywWj0YhwOAyLxZLyYFqup9Ues9KpdIiIUkcu16upqcHu3btRXFycNceHpJTlUHaRB6C5XK6MmeCBiEZetGOCXKaTSrHKcORjG49nRGOL3oRVXq8Xe/bsgc/nS5vSwmRIWnB//PhxfPjhh5g5cyYmTZqk3P7Pf/4Tjz76KN5//31MnToVX/nKV1BUVJSszdIIsNvtaG1tRUdHBwCwFIeIFNrgWVt/X1FRkbbJAPnEhIjGFu3JvTymMBQKwWq1Zk0XraR1y6mvr0d1dTUCgYByWyAQwNq1a7Fz50588MEH+Otf/4rvf//7OHLkSLI2SyPA5/MhHA4jGAxGtIXiZW0iEkT9fay2k+mEXXKIxi5t5yzxt9PphM1mg9vtzprjQ9KC+7fffhuf+MQnMHPmTOW2559/Hh0dHbjkkkvwi1/8Al//+tfR09ODP/7xj8naLI0AUbNqNpsRCARUgXy6/3gT0eiQB9bK9ffZkvkiouyiPbkXfxcXF6d4z5IvacH9sWPHYLPZVLe99tpryMnJwapVqzBjxgxcddVVmDt3Lt5+++1kbZZGgOgBW1BQoNSfCfzxJiJAPbBWzFKbTplxcZWxurqaVxuJKKpsTFomreb+5MmTGDdunPJ3f38/mpubcdZZZ2HixInK7bNmzcKrr76arM1mpDVr1sBoVJ9XlZeXo7y8PEV7pE+vPpU9o4kIiD6wNpXk+n9tPa3H40m7/SWi1MvGsThJC+4LCwtx+PBh5e+9e/ciGAziggsuUC3X39+P3Nyx3aTn/vvvh8ViSfVuDCpaIK834pyIxpZ0PNHX6/Rlt9uVThgtLS2ora0FgLTbdyJKDb3OOZke3yStLKeoqAjvvfcenn76abz33nvYsGEDDAYDFi5cqFrugw8+wOTJk5O1WRpl2gF0RETpMtBeLhsUJUI1NTVoaGiA2+2G0WhUTb5FRAScSgw0NjZmRXyTtBR6ZWUl/vKXv+C3v/0tACAcDuOCCy7AeeedpyzT2tqKDz74IKtmActG2sy89lK3PICOiChd+sfHupogZ+d47CIau+rr6+HxeAAAJSUl8Pl8sNvtCAQC6OnpAQClmUimZu8N4XA4nKyVvfvuu3jmmWfg9/tx1llnYdmyZaryk+eeew6bN2/GihUrsGDBgmRtNmMEAgEsX74cGzduTOuynIqKCrS0tMBms6GhoUH1dzrW2RJRaokfy56eHphMJrjdbh4fiCgtiZgGgHI1TzSEaWlpUd2WTvP8JBJDJrX4/eyzz8bNN98c9f4rrrgCV1xxRTI3SSNAO7hEG9DzR5uItLq6uhAKhRAMBtOmrp3jg4hIy+VyRWTuRbwjj9PJ5Ct8Sc3cU2yZkrknIkqEyIQZDAYAA2WZqcp66XXMSbcMHBGln3RPBiQSQyZtQC1lt3QZMEdE6UcMZF27di1KS0thNBpht9tTsi/ajjminJDHMCKKJZv63TO4J13aH8Js+tATUXLJk1f5fD6EQiFs3boVDodj1INpvY45lZWVPIYRUUwulwtWq1UZTJvJGNyTLo/Hg5aWFtTV1aGiogJ2uz1rPvRElHwiIWC322E0GhEOhyNmuB4NlZWVSk2tw+FQZqi12+2cXZuIoqqsrITFYoHf70dtbW1GxzoM7imm7u5utLS0wOfzKR96Zr6ISEtkxn0+H6qqqmC1WmE2m1OSEPB6vfD7/fD7/diyZYuyXyKLT0Skx+VyZcV8GMMO7j/66CNUV1cnY18ojbjdbthsNpSWlirZLpGRS1UtLRGlL205TFNTEwoKClKSEBCX18UAX87LQUSDEQNqnU5nxlcqDDu47+7uxttvv52MfaEUk+vstbM7AkBjYyNCoRB8Pl+K95SI0o1c3y6X6KSiFEacXKxduxY2mw1OpxMejweLFy9OyTgAIkp/8tXHTK9UYFkOKcQH2+PxqAbT1tfXo7a2ljPTEpGKCOJFXbt2AH6qS2HECYfP54Pf70cwGMzoH2wiGhnV1dVobW2F2WyGy+VSXYnMRAzuSSE+zABUXSU8Hg9CoRAMBgOqqqpYs0pEAE4F8Y2NjapjRqq6TkRrdyn2x2w2w2q1ZuwPNhGNjMbGRoTDYfT09GDPnj2ora2F3W7P2Hhn2JNYHT58GN/+9rfx9NNPJ2ufspaYgGDmzJkwGtXnVeXl5SgvL0/RnqlVV1dj69atGDduHFavXg2PxwO/3w+r1YqmpqZU7x4RpQlRoyrP6Ch+DMXEVqM5gZTD4YDf74fBYMDatWsz9oeZiEaHOIYVFhaiubkZTqdTKUE2Go3YvXt3qndRkcgkVrmjtE8kuf/++9N6hlqfz4dwOIxgMKhM0Wy1WuF2u1O8Z0SUTiorK6MG0GKG2FRkycPhMLxeL4N7IopKLjkGoArkGxsb4XQ6U7Vrw8ayHIogLmFbrVYAgN/vh8Vi4Q8lEQ1KlMYAGPV6e7fbrRy7WHpDRLF4vd6IsYT19fVKO9+amprU7uAwMLgnFXGJyu12o6mpSWmJyR9KIopHKmeCFV1yRPmgqL+PVotPRGOXGGcojyXMlpmskxLcD7Nsn9KI9oMtt7cjIoqlvr4egUBAyZynIqgW2xSzbHu93qz5wSai5NGLbzK9S44w7Jr7SZMm4T/+4z+SsS+UBlJZJ0tEmU3MDGu1WuH1ehEIBJTWk6OVIBCBvNVqVf1I87hGRIOJNY4okww7c3/aaafhiiuuSMa+UBpgpp6IEiFn57XtdAGMehZMjBkS/wZOBfY8rhGRLFtL9lhzT0REQyYy5bW1tQAGBtGKsTput3vUkwWVlZWq2SVZkkNEWnrle9kk6cG93+/Hpk2bcN999+H222/H73//e+W+999/H6+88gqCwWCyN0tJkq1nsUQ0MlwuF4xGI0KhkDK7NTD6nXK0+ySuGNjtdhiNRtjt9pTsCxGlH3HSD4z+1cXRkNQ+9zt27MDPfvYzBINBhMNhGAwGTJ48Wbn/2LFj+K//+i+sXr0al156aVK2+e677+KJJ57A3r170dPTA5vNhrKyMixdulRZ5siRI9iwYQP27t2Lzs5OTJ06FUuWLMEXv/hFmM1m1fp6e3vx2GOPYdu2bejq6sKcOXOwYsUKFBcXD2m5TCNn4fbs2RMxMQ0RkUzuMhEIBJQsWCqPGXLdrGh35/P5UrY/RJReXC6XMo+PNsYRXQMzOfZJWua+ubkZ9913H3JycvC1r30NP/nJTyK66NjtdlgsFuzatSsp2/zrX/+KW2+9FR9//DGWL1+Ob3zjG1iwYAGOHTumLPPRRx9hzZo12L9/P8rLy3HDDTegqKgIjz/+OO67776IddbV1eGpp57CkiVLcMMNN8BoNOLOO+/EO++8M6TlMkV9fT0cDgeOHj0KAAiFQhFTyhMRadXX18Pj8SAQCKCkpCRlWTC9q47a7j1EREBk+V51dTUWLFiAiy66CPfcc0/Gxz5Jy9z/7//+LwwGA+666y6cffbZusvk5OTgrLPOwvvvvz/s7QUCATzwwANYsGAB1q1bB6NR/zxl27ZtOHHiBO655x6cccYZAIDLL78c4XAYTU1N6OrqwoQJEwAABw4cwEsvvYSVK1di2bJlAAamM7/xxhvh9Xpx7733JrRcJhFdLgSj0YiioiI0NzfzcjYRRSUfO3w+HxoaGlK2H9qrBmLfbDZbxmbgiGhkiO6AdrsdW7ZsAQD09fUBgGpiq0yU1Mx9UVFR1MBemDRpEo4fPz7s7W3fvh0dHR247rrrYDQaEQwGlSmEZYFAAABQUFAQsR9GoxG5uafOb3bu3Amj0YjLL79cuc1kMsHpdKK5uRkfffRRQstlEtFhwmw2w2q1oqqqCu3t7bycTUQxyTNap/LHUK8/dbb0rCai5BPdAeUYJzc3F1arFU6nEx6PBw6HIyPHICYtc9/d3Y2JEycOulxXV1dStvfGG2/AYrHg2LFjqKmpwYcffgiz2YxLL70Uq1atgslkAgBccMEF+P3vf4+f/exnuPbaa5Gfn4/m5mY899xzqKioUNXcHzx4EDNnzoTFYlFt69xzzwUAHDp0CFOnTo17uWjECcdg8vLykJeXF9eywyXXqIp6M5Gx5w8jEUWTLn2h9fYjXfaNiNKXPL+POF5UVFQoVyRTPYZoKJIW3E+ePBn/+Mc/Yi4TDofx/vvvY/r06cPe3pEjR9Df34+7774bTqcT119/Pd566y00NDTgxIkTuPXWWwEAn/70p7FixQr87//+L1555RXl8V/+8pdx3XXXqdbZ3t6OSZMmRWxL3CZq+eNdLpqVK1fG9RyvueYaXHvttXEtOxzawSPyKPJUXWInIopXNgyAI6LU0EsCaAfcZpqkBfcXXnghnnvuObz00ku45JJLdJfZunUrjh49iiVLlgx7e8FgEN3d3bjiiivwzW9+EwBw8cUXo6+vD5s3b8ZXv/pVzJgxAwAwbdo0nH/++bj44ouRn5+P1157Db/73e8wadIkpW0bAPT09OhmysVVgJ6enoSWi+bhhx+OyPrrGa2svbZPNWepJaJM4vF44Pf74fF4GNwT0bCIZEFJSUnGliUnreZejDx+4IEH4PV60dzcDGAgCP/73/+ODRs24Je//CUmTpyIq666atjbE4G09kRCnDiI7b/00kv47//+b3znO99BWVkZLr74Ytx0001wOBwRg0hNJhN6e3sjtiWCdbHNeJeLxmKxxPXfaAX3LpcLBoNB6VPNWWqJaDg4XwYRZQrt8UokPEXHQDF/RyYdz5IW3E+ZMgU//OEPYbVa8Yc//AFr166FwWDAX/7yF6xZswb/+7//i9NOOw3f//73Iwa3DkVhYSGAyIGyou5f1Pb/6U9/wllnnYUpU6aolvvXf/1XdHd34+DBg6p16g32FbeJnv3xLpcpKisrkZ+fn+rdIKIsMdqzwrrdblitVgDIqB9gIko97fFKNAkwmUzKcSXTWmMmdYbaoqIiPPjgg/j617+OCy+8EDNnzsSMGTPwL//yL/j3f/93/OIXv8C8efOSsi3RlUdb397e3g4AyhvS0dGh20VHtDvq7+9Xbps7dy4+/PDDiAGv+/fvV+5PZLlMIqaLLykpybgzVCJKPTn7JbrU2O32UTmeaHtWi/1xOBwZ2+2CiEaHtquWOJ4Eg0FYLBYlPsqkUuWkBvfAQMnJVVddhR/+8IfweDx48MEH8aMf/Qhf+tKXcNpppyVtO4sXLwYANDY2qm7funUrcnJycMEFFwAAZsyYgb///e/48MMPVcu99NJLMBqNmDNnjnLbokWLEAqFsHnzZuW23t5ePP/885g3b57SASfe5TKFPBjN5/NFnKHyEjsRDUbbZ160mButjJf2B1rU4csBPxGRllyKLOIdu90Oq9WqJHEzrVQ5aQNqR9tZZ50Fp9OJxsZG9Pf34/zzz8dbb72FnTt34uqrr1ZKY5YtW4bXX38d69atQ3l5OfLz8/Hqq6/i9ddfR2lpqaqEZt68eVi0aBEeeeQRfPzxxzj99NPR1NSEtrY23HTTTQkvlynkH2W9wbR6k8MQEcnkCWEqKirgcrlGdXB+tLaXBoMhozJuRJQ6crdAi8WSsbGPIRwOh4fywM7OTuTl5an6xCcqGAyit7d3yPXefX19+N3vfofnn38e7e3tmDp1KsrLyyMG7B44cACPP/44Dh48iM7OTkyfPh0OhwNf+tKXkJOTo1q2p6cHGzZswIsvvoiuri7MmTMHK1aswIUXXjik5WSBQADLly/Hxo0b4+qWM1pitZETU8sDA6U7mfYBJ6LRU19fj9raWoRCIVitVlgslpS1p2R7TCJKlHzcAJBWx5BEYsghB/dXXXUVLrvssmFlquvq6rBt2zY8/fTTQ15HJknX4F6P+IB3dHQgGAzCarWiqakp1btFRGmsoqICLS0tMBqNmDBhAvx+P2w2G+fLIKK0lgnJgERiyCHX3IfDYQzxvIAygLg01d3dnepdIaIMIereq6qqUjYIjWOEiChR2o45mX4cGVbN/d69e/HTn/50WI+n1BFnqna7HT6fT3XGKtfPivuIiGLR1r2nIgPGMUJElCjt+CBtsJ9p5cnDCu7/+c9/4p///OewdsBgMAzr8TR04sPb1tamTGAlX5bKhA8wEaWnVF3m5gzbRJQoEfPI3XKAgXmN1q9fryyXKUmDIQf3NTU1ydwPSgFtdj4QCKgyXplQg0ZE6UM+ZqQig85jFhENh9wtx+VyqQJ7q9WaMUmDIQ+opcSl+4BabZlOIBDggDgiipsYUCtq7eVAe6QCb70TilR36iGizKR3PAGAsrKylCe1R2VALWUXvYmsAGTcrGxElDryRFJiYpg9e/Zg4cKFqKurG5EJrTweD1paWuDxeJTtA5k3XTwRpZ48oZU4nqxbty7lgX2iMnYSq0y2Zs0aGI3q86ry8nKUl5eP6n5Eu4SuLdchIoqH3lidxsZGhEIhdHd3j3iyQK6bZd09ESWquroajY2NcDqdqKmpydgrfyzLGUXpVpYjLqFbrVblNnkkuHyJnWU5RDQU2h/LZGOdPRElQ319vVJjbzQasXv37hTvkRrLcigu4pJTT08P/H6/cntFRQWqq6sRCAQyagAJEaWfmpoaVFVVwefzjUjPaPkyOpD5/amJKDXkMj6n05m6HUkCBvdjmPhRNJlMym2iPKexsRF+vx8Wi4XZMCIaFm3P6GzZFhFlD7vdDqPRqBo8m6nJAgb3pMwk6Xa7lWy+0+nkYFoiGha5Z/RIH0+027Lb7Rn5o0xEqeHz+RAKhZSrjBUVFaoB+5l0POGA2jFObn8p6lZZX09EwyGOK6KdLoARP67IbesaGhqUMUOZMukMEaWW3L5Xbqtrs9ki5gFKd0nL3CcyU+3LL7+crM3SMMllOLyUTUTJII4rnZ2dsFqtI55Fr6+vR0dHBwwGgzKzpNyWk4hoMHptMN1uNxoaGpQKh0w5niQtuP/ud7+L559/PuYy3d3d+NnPfoYf//jHydosDZH2ErbT6YTVakUgEMiYy05ElJ5cLheMRiPC4TAsFosyd8ZIXdr2er0IBoMIh8PKJXWPx4NAIJDU7RDR2BEIBODxeFBdXa2qcMiEGClpwX04HFYC987Ozoj7Dxw4gO9+97tobGzE6aefnqzN0hCJzNquXbsAAMXFxbBYLPD7/czeE9GwVFZWwul0wmg0wm63qzpziSA/mVwuF6xWq9Ldy+v1wu/383hGRAmrr69HbW2tcgzZsmVLxlU4JC24r6urw5lnnoldu3bhpptuwhtvvAFgIOjfuHEj1q5diyNHjqC0tBR1dXXJ2iwNkfgx7OzsVE1elUmXnYgofcmD08Rl7u7u7hHZVmVlJZqamtDU1KRsSw72iYji5fV6EQqFYDAYlNsMBkNGNRpJ2oDamTNn4r777sNjjz2G3//+9/jhD3+IK664AgcPHkRzczMmTpyI73znO1i4cGGyNklDJAa7AQMnX8BACyi92SWJiOIlD9DXzpPh9XoRDodhNBrhdrtHdD94LCOioZIH1no8Hvj9fuTn56OmpkYVP6XzMSap3XJycnJw/fXX49Of/jR+9KMf4bnnngMAfOpTn8KaNWtQUFCQzM3REImSHIPBAIPBgHA4jMbGRgAD2TbO9EhEQyGOLW1tbQiFQrDZbMqxRP7BHKnji3xywWMZEQ2FNjkgjlvi35nQNSfpfe5PnDiBP/3pTwgEAgiHwwiHw3j//fdx6NChZG+Khkge7Jafnw+j0YhQKJRR9WRElH5izZOhnUl2JLD7FxElg2g6AkB13MqU8uWkZu7feustPPDAAzh69Cjmzp2Lm2++GS+99BL+8Ic/4I477kBFRQVcLhfy8vKSuVlKkPiQas9G7XY7du3apXTMSeezUiJKP6kuhxFXB+TMPRFRIsSA2lAoFJGhl+Mn+e90k7TMvdfrxQ9+8AMcO3YMy5Ytw09+8hPMmTMH119/PWpqajBlyhQ0NDRgzZo1eO+995K1WRoiOYsm/l1TU8OOOUSUVCM5fXt1dTUWLlyI6upqAFAG07Ikh4iGSgyoNRqNSoJAPo7JpTnpyhAWIyqHaenSpZg8eTLWrFmDCy64IOL+QCCAX/ziF3jxxReRl5eH3//+98nYbEYJBAJYvnw5Zs6cCaNRfV5VXl6O8vLyUdsX8QHV/gBGu52IaCgcDgf8fj+sViuampqSuu6FCxcqP8K7d+8GAGVmWpvNxtm2iShhenGQOK4YjUY4nc6UJBBEDLlx40ZYLJaYyyatLGfx4sVwu92YMGGC7v0WiwVr1qzBwoULk97jONPcf//9g74xIy3aoJBUX1YnIoqX0+nE1q1bYTKZlFJCu92O1tZWdHR0sLyQiBKmFwe5XC7cc889CIVC2LVrV9ITFcmWtLKcqqqqqIG9bPHixfjZz36WrM3SEOhN1S4uOVVXV4/oNPFENLaIadtHov1lTU0Npk+fjmAwqFwi9/l8CIfDqtuIiIZKZPLHjRsHAOjs7Ez7GCnp3XLiMXny5FRslv6PPFW7mKGWXSaIaCSMdJccbfcKTmBFRMkk4qPu7m6lfXi6x0gpCe5pdGkHnblcLtXMa8DAJFZGoxFFRUUZ0eaJiNLXSA6i1a5fe/Kgna2WiGgo6uvr4XA40NHRAWBg0s9x48bBarUqXQXTVdJq7t9+++2Elj///POTtWkaRGNjo9LHvqamRrcVppgqvrm5GVVVVfxRJKIhidVGLlm0Y4bYCICIks3r9cLv9wOAkrE3mUywWCxpP5FV0oL72267LSIbHMvTTz+drE3TIIqKirB3715MmzYNDocDAFBSUgIA2LNnj9IXWswqmc4fWCJKb3pt5JJNnu1WbDPdf2yJKLO4XC7U1dWhu7sb5513Htrb25X5gNK97C9pwf2ll16qG9yHw2EcPXoUf//73xEIBPCv//qvOO2005K1WYpDe3s7AKC1tRWi86nI5ouAHhgYFC3/YBIRJUqeSGqkJnrRdrPQBvtERMNVWVmpJA7a29vR0NCgau2bzomEpAX3N998c8z7u7q68LOf/Qzvv/8+7rvvvmRtluLgcrng8XhUl5dEn1bO5EhEySQCb9EXeqSy6dpSnHT+oSWizJSpiYNRG1A7YcIE3HzzzQgEAvif//mf0dosYeDHVvTVNxgMyM/PR3FxccRMjpkw6xoRpTcx2NVut4/o4Hwer4hotI1ka99kGtVuOWazGeeee64ykyCNHtEuLj8/H36/H16vN+LHUdtSjogoUeK44vP5lC42I9E9h8crIhppcpyUSQP3R70V5smTJ9HV1TXamx3zRLs4t9uttHEqLCyE0WhEYWEhKioqAGBE+1ETUfaTg24R1Hs8nqRm2TPpR5aIMpd8PBOB/vr167FgwQKlvXg6GtXgfvfu3XjnnXcwY8aM0dzsmCd6tTocDuzZswddXV3w+/1obm5W2l/y8jYRJYPcd178GAJIapZdrLe2tjate00TUWYTxzMACAQCSuOYcDiMxsbGVO5aTEkbUPvTn/406n0nT57EkSNH8P777yMcDuOLX/xisjZLcZB7tW7ZskW5PRQKwWw248wzz0RzczPsdnuqdpGIspA8GC2ZGXaXyxXRS7++vh4ejwfAQF0sM/pElCwijhKVD319fSgqKkr1bkWVtOD+hRdeGHSZqVOn4pprrlF6rY9Va9asgdGovmhSXl6O8vLyEdmey+XC+vXrde/r6elBe3s7QqEQfD7fiGyfiMamkepiozcRn5zEYL97IhouufzPbrejtbUVgUAA/f39AE61GU9HSQvua2pqot6Xl5eHSZMmYfr06cnaXEa7//77le41oy03NxdTpkxBYWEhmpub4XQ6UVxcnJGtnoho7NLrdS8y9zyWEdFwiRbiHo8HFosF4XAYfX19ADCik/QlQ9KC+wsuuCBZq6IkE7X0BoMBFotF9xI5s1xElMnY656IRopIHvT09AAATCZTivcotlHvlkOjT4z2HjduHPx+P9avX4/rr79eGWi7ePFiOBwODkwjohEhuuZUV1cnvSUmEdFI0Pa0t1gsWL16NUwmk5LRT1dDztyvWrVqyBs1GAz41a9+NeTHU2JENkuuu9+7dy/a29uVGtVgMMg6VSIaEaK7TVtbm2oQ7HCwHSYRjSRxNbC+vl41gD8TDDm4b2trS+Z+0AjTfiDnz5+PpUuXoq6uDsFgEGazOa3rx4go84gAXHTistvtyqzYw11nIBBQJuRjcE9EI8Xr9SIUCqnq7NN9nOKQg/tNmzYlcz9oBNXX1yMQCCA3Nxf9/f0477zzlFHeBQUFaGlpQUFBAX8giShp5GwXAKVXdLLWabVaOUMtEY040dLXbrcrQX0yjmcjKWkDail9iRZxBoMB4XAYe/fuBQDcd999sFgssFqt/IEkoqTSy3Ylc53sZU9Eo0GU51RUVCiT54nb0xUH1I4BLpcLVqsV4XBYdXtfXx/8fj8sFktaf0iJKPOIgfxOpxNerzcpg2jFOquqqnSPWWLgLgfsElEyiQoIg8GQEbX3Q87cV1dX48ILL8SXvvSliPva2towfvx45OfnD2vn4vHuu+/iiSeewN69e9HT0wObzYaysjIsXbp0SMv19vbisccew7Zt29DV1YU5c+ZgxYoVKC4uHtJy6aKrqwsAlOw9cKrnPbP2RJRs2mxXMmrjB2t3KQbusg6fiJJJnqFWtBRPZ0PO3L/11ls4fPiw7n033HADHn744SHvVLz++te/4tZbb8XHH3+M5cuX4xvf+AYWLFiAY8eODWk5AKirq8NTTz2FJUuW4IYbboDRaMSdd96Jd955Z0jLpQP5UrY44TIajbjssstSvGdElO1Etn00fgxHc1tENHaIY4vb7UZDQ0PaJw9GpOY+HA5HlIAkWyAQwAMPPIAFCxZg3bp1MBr1z1PiXQ4ADhw4gJdeegkrV67EsmXLAAAOhwM33ngjvF4v7r333oSWSxdiMIh2lDezXEQ00pI5uVSs9pdsjUlEI0U+jmXCsSZja+63b9+Ojo4OXHfddTAajQgGg0pXhqEsBwA7d+6E0WjE5ZdfrtxmMpngdDrR3NyMjz76KKHl0kVlZaVypin/m1kuIhpJcg18Murh5YSEUF1djQULFmD9+vUR9xERJZvecSjdZGxw/8Ybb8BiseDYsWP41re+hauvvhrLly9XTQ+cyHIAcPDgQcycORMWi0V1+7nnngsAOHToUELLpTs50CciSjbxI+jxeFBbW6v8e6hBvl5CorGxUblSbDAYEAgEOKCWiEZMJiRGM7YV5pEjR9Df34+7774bTqcT119/Pd566y00NDTgxIkTuPXWWxNaDgDa29sxadKkiG2J20SNfrzLRRMIBOJ6jnl5ecjLy4trWSKidCPK/wKBAEKhEAwGAzo7O4c8+ZS2xKe+vh4mkwnBYFCZx4MTWxHRSEpmqeFIydjgPhgMoru7G1dccQW++c1vAgAuvvhi9PX1YfPmzfjqV7+KGTNmxL0cAPT09OgG0yaTSbk/keWiWblyZVzP8ZprrsG1114b17JEROlGnr7d4/Ggs7MT4XA4Kb3v5QmtbDYbAKClpSWpffWJiDLRsIL7pqYmNDU1RdxuMBii3ic8/fTTw9m0EkhfcsklqtuXLFmCzZs3o7m5GTNmzIh7ObHO3t7eiG2JYF2sK97lonn44YcjSnr0MGtPRNmgsrJSaSVnNBqj9qlPhNwFzG63Y9euXbBarZzciojGvGHV3IuuOEP5b7gKCwsBAAUFBarbJ06cCOBUX/d4lxPLHj9+PGJb4rbJkycntFw0Foslrv+SHdxzghciShV5AioAwz4Wyevz+XyckI+I6P8MOXO/adOmZO5Hws4++2y88cYbOHbsGGbNmqXc3t7eDgCwWq0JLQcAc+fOxZtvvolAIKDKrO/fv1+5P5Hl0g1bXxJRqsglOqKcZjjHIm3dq9zul4hoLMvYbjmLFy8GMNApQbZ161bk5OTgggsuSGg5AFi0aBFCoRA2b96s3Nbb24vnn38e8+bNw9SpUxNaLt1kwghvIspuopwGAI4ePQqHwzHsq4ns/EVEdErGDqg966yz4HQ60djYiP7+fpx//vl46623sHPnTlx99dVKaUy8ywHAvHnzsGjRIjzyyCP4+OOPcfrpp6OpqQltbW246aabEl4u3WTCCG8iym4ul0vJ3Pf19bG7DRFRkmVscA8AbrcbU6dOxfPPP4+XX34ZU6dOxapVq3DVVVcNaTkAWLNmDTZs2IBt27ahq6sLc+bMwe23347zzz9/SMsREY11ejM61tXVIRgMwmw282oiEVESGcLJGN1KcQkEAli+fDk2btwYV7ccIqJMp21Z2dDQAGBgQG1LS4vqNiIi0pdIDJmxNfdERJT+5JaVcoZ+OGOAtJ2/2AmMiOiUjC7LISKi9FVfX49AIKDbf34oY4BEeU8gEFDV6rMTGBHRKczcExHRiBATVyWr/7wI4oGBNsaBQAD19fXsBEZEJGFwT0REIyLZQbdYn9vthsVigd/vh8fjiRisS0Q0ljG4JyKiEaHXf3449fHy+kSgD0ApySEiItbcExHRCBO18na7HY2NjcOenRaA8liPxwOr1cqSHCKi/8PgnoiIRpSolW9ra1Nmp7Xb7UlZr9/vh81mY0kOEdH/YVlOCqxZswZut1v137PPPpvq3SIiGhGihMbpdMJoHPjZ8fl8Ca9HW9LjcrlgtVrR0dEBh8PBVphERGDmPiXuv/9+TmJFRGOG3PayuLhYGQCbKHEFoLa2VlmvyN4Hg0G2wiQiAjP3REQ0ivQG2cbL5XLBaDQqNfviNqvVyrp7IqL/w+CeiIhGjF53nKF0zBGDcp1Op6q9ZmVlJZqamtDU1MSsPRERGNwTEdEIkmePjXVbvOvx+XxDzvwTEY0FDO6JiGjEyBNZiYy93W5PaHKr+vp6BAIBlt4QEcWBA2qJiGjEyINpKyoq0NLSAgBoaGiIex16LS9FmQ5npiUiUmPmnoiIRlR9fT0cDgc6OjqGlH0Xg2YDgQCqq6tRUVEBj8fDmWmJiHQwuCciohElt6u0WCwJZ9orKythsVjg9/vR2NioZP8TKe0hIhorGNwTEdGISka7SnkiLJvNBrfbzYG1REQ6WHNPREQjSq67T+U6iIjGAmbuiYhoVAylv32sdTkcDjgcjqSsj4goWzC4JyKiUTGU/vax1uX3++H3+zmolohIwuCeiIhGhdzzPhnrGm4dPxFRNjKEw+FwqndirAgEAli+fDlmzpwJo1F9XlVeXo7y8vIU7RkRERERpSsRQ27cuBEWiyXmshxQmwL333//oG8MEVG2qq+vh8fjAQC43e6EBsrKk1cB4ERWREQaLMshIqJRIQbUejyeuOrl6+vrsXjxYixYsADV1dUA1HX7YiIrcaJAREQM7omIaJSIwBxAXPXyHo8HwWAQ4XAYjY2NAJJbt09ElI1YlkNERKPC5XINuRzH6XQCiOx3L5foEBERM/dERDRKKisrYbFY4Pf74fF4Bu1573a7YbPZUFZWBp/PF7FsZWUlZ6klItJgcE9ERKNGlNX09PSgpaUFdXV1UYN8Ebz7fD6lzj6ZE2EREWUjBvdERDRqRMBuMpkAAN3d3YNObCXX2SdzIiwiomzE4J6IiEadKLkpLS2FzWaD3W4fNINfWVmpTF4VCASYvSci0sHgnoiIRpy2nEYE6rt27UIgEMCuXbtiZuTF4wEodfvM3hMRRWJwT0REI06vnMbr9Sr97js7O2O2xpQfz+w9EVF0DO6JiGjE6fWnF0G6wWBAOByGxWKJ2vlG+/iuri5m74mIdDC4JyKiESfq5gHA4XDA4XAAAJqamlBaWgqj0Qi73a56jFzKI9fde71ehEIhGI1G9rgnItLgJFZERDQq6uvrUVtbi1AoBACora0FAPh8PoRCIfh8PtXycimOnNG32+1oa2uD0+lkj3siIg0G90RENCpExl0IhULKjLVyvX19fT28Xq+SydfeHggEdE8GiIiIwX1KrFmzBkajuiKqvLwc5eXlKdojIqKRJ/rUt7a2IhwOK7f7/X7YbDYlCy8y9gCUUh75dqvVGlG/T0REAwxh+QhLIyoQCGD58uXYuHEjLBZLqneHiCglrr/+euzduxc2mw2BQADAQN97EdyLDL0I3vX+zXIcIhpLEokhmbknIqJR1d7eDgBoa2tDKBRSZe2BgcG34u+Kigq0tLSgtrYWVVVVqkw+ERFFYrccIiIaVaKtZVFRkW6XHJm4LxQKwev1RkyGRUREaszcExHRqBKZ+YqKCoRCITQ2NqK4uBgAlIG0Pp8PLpdLGTQr2l6KunvRaYflOUREaszcExFRSrhcLhiNRiUrLwL3xsZG1Wy0NpsNVVVVqKysjHgMERGpMXNPREQpUVlZiT179mDr1q3o6OjAkiVLAECVuZfr78VAW6fTqdxPRERqDO6JiChlfD4fwuEwgsEgfD6fMmC2vr4eHo8HHo9H6aQTrUUmERGdwrIcIiJKifr6egQCAZjNZpjNZgQCAWWgrNfrhd/vh9/vV8pvRIkOM/ZERNFlfOb+3XffxRNPPIG9e/eip6cHNpsNZWVlWLp0qe7yGzduxIYNGzB79mz8/Oc/j7i/t7cXjz32GLZt24auri7MmTMHK1asUAZ7JbocERFFqq+vR21trdIKMxAIwO/345577gEwEMjX1dWhu7tb1U0nEAgos9pyMC0RUaSMztz/9a9/xa233oqPP/4Yy5cvxze+8Q0sWLAAx44d013+6NGj+N3vfgez2Rx1nXV1dXjqqaewZMkS3HDDDTAajbjzzjvxzjvvDGk5IiI6RbSy9Hg8CIVCShccIRwOw+v1orKyEgUFBQiHw/D5fMrJgDabT0REahmbuQ8EAnjggQewYMECrFu3Dkbj4Ocpv/3tbzFv3jyEQiH4/f6I+w8cOICXXnoJK1euxLJlywAADocDN954I7xeL+69996EliMiIjVRN2+1WmG1WpXb3W63kpEXwb5ofSn+HwqFYDAYkJ+fz9IcIqIoMjZzv337dnR0dOC6666D0WhEMBhEKBSKuvzbb7+NnTt34oYbboi6zM6dO2E0GnH55Zcrt5lMJjidTjQ3N+Ojjz5KaDkiIlITdfNutxsWiwV+vx8ejwderxdutxtNTU2orKxUOuOIjjnicWvXrlWWISKiSBmbuX/jjTdgsVhw7Ngx1NTU4MMPP4TZbMall16KVatWwWQyKcv29/fjl7/8JUpLSzFnzpyo6zx48CBmzpwJi8Wiuv3cc88FABw6dAhTp06NezkiIlKTW1sCA5n8QCCg9LWXbxPlN+IxDOiJiAaXscH9kSNH0N/fj7vvvhtOpxPXX3893nrrLTQ0NODEiRO49dZblWU3b96Mjz76CHfffXfMdba3t2PSpEkRt4vbRC1/vMtFEwgEYt5/8uRJHD9+HDk5OcjNzdi3iCjpjEYjJk2aFHFiTZlJBOzXX3899u7di2PHjsHj8cDv98NgMMBsNqOjowMOhwMlJSXYvn07uru7UVpaipqamlTvPhFRWsrYyDEYDKK7uxtXXHEFvvnNbwIALr74YvT19WHz5s346le/ihkzZsDv9+Oxxx7D8uXLMXHixJjr7OnpQV5eXsTt4ipAT09PQstFs3Llypj3jx8/Hrm5uZgwYQJOO+20mMsSjUUXXXQRrr766rjG2lD6a25uBjDQhSwcDgOA0vseGDjeNzY2KqWXjY2NDO6JiKLI2OBeBNKXXHKJ6vYlS5Zg8+bNaG5uxowZM7BhwwZMmDABFRUVca2zt7c34nYRrIttxrtcNA8//LBu5vEPf/gDXnvtNVRUVGDu3LnIy8uDwWAYdL+Jxor+/n4cPHgQzzzzDABg+fLlKd4jSoaioiLs3bsXeXl5EcdWubtZX18f+vv74XQ6R3sXiYgyRsYG94WFhfjHP/6BgoIC1e0iO9/V1YUjR45gy5YtWLVqFdrb25Vlent70d/fj9bWVlgsFuTn5yvr1CupOX78OABg8uTJCS0XjcViiQjuA4EAXn/9dSxduhQOhyPm44nGMjFu5plnnsGVV17JEp0MJQbM2u12JXM/efJkZQZaQSRLRIezsrIyZu2JiGLI2GvaZ599NoDI+nYRxFutVhw7dgyhUAgPPfQQVq1apfy3f/9+fPjhh1i1ahWefPJJ5bFz587Fhx9+GFETv3//fuX+RJZLhDgxOPPMMxN+LNFYI74n4ntDmUe0xBTlNqLffVlZGYxGo6r0US51bGxsTMXuEhFljIwN7hcvXgwg8kC/detW5OTk4IILLsDs2bNx2223Rfw3e/ZsTJ06Fbfddpvq8u6iRYsQCoWwefNm5bbe3l48//zzmDdvntIBJ97lEiFqSXNychJ+LNFYI74nsdrfUnoTrS2dTidsNhuqqqpQWVmJ4uJiTJs2DQ6HQ2mZKWNJDhFRbBlblnPWWWfB6XSisbER/f39OP/88/HWW29h586duPrqq5XSmJKSkojHbtq0Sfe+efPmYdGiRXjkkUfw8ccf4/TTT0dTUxPa2tpw0003JbwcERHp02ttWV9fj3vuuQfhcBiBQABNTU2or69Hd3c3gIErsizJISKKLWODe2BgRsOpU6fi+eefx8svv4ypU6di1apVuOqqq4a8zjVr1mDDhg3Ytm0burq6MGfOHNx+++04//zzh7TcWPT444/jiSeeUP62Wq2YM2cOrr32Wnzyk59MyjauvPJK1QzBw3HTTTdh7ty5uPnmm5OwZ7E9++yzeO2113DgwAH4/X6sW7cOixYtiuuxH3zwAR566CHs27cP48ePh8PhwIoVK1TlC7/5zW/w+uuv4+jRowCAmTNn4otf/GLEwHPZr371K2zatAnl5eX41re+pbpv9+7deOyxx5TxLZ///Ofxla98RXWFKRwO4w9/+AP+9Kc/ob29HTNmzMBXvvIVfPazn03kpVHcfffdOHHiBH784x8P6fGUubxer9Itp6enB4sXL1Y65hiNxogsPhERRcro4D43NxfXXHMNrrnmmoQeFytoMJlM+NrXvoavfe1rMdcR73JjlclkUjJsx44dw5NPPonvf//7qKurwxlnnDHs9d97772YNm3asNcz2rZt2wYA+MxnPoOmpqa4H9fV1YXvf//7OP3003Hbbbfh2LFj+M1vfoPu7m5VQB4MBlFWVoZZs2bBYDBg586duPfeexEKhfC5z30uYr3vvfceGhsbdQelNjc3o6amBpdccgn+/d//Hf/4xz/w6KOPIhgM4utf/7qy3B/+8Ac8+uijWL58OebNm4fdu3fj3nvvxbhx47Bw4cIEXh0ai+SBteKkNC8vDyaTSRlEC0Ap2yEiotgyOrin9GU0GlFUVKT8fc4552DVqlV47rnnIrLDieju7sa4ceNU684ktbW1MBqNaG1tTSi4f+655xAIBFBdXa10d+rv78eDDz6oKkP79re/rXrchRdeiA8++AAvvPCCbnD/i1/8AldddZXuvjzxxBOYO3cubrnlFmVd4XAYjzzyCJYtW4ZJkyaht7cXGzduxJVXXqmcZF944YVoa2vDo48+yuCeBiUmrZK75PT398PtdqOurk6ZtIqBPRFRfDJ2QC1llmnTpmHixIlobW1Vbnv++efxne98B8uWLcO///u/45FHHkF/f7/q/iuvvBLNzc34wQ9+gMrKSjz88MMABspy/vCHP6i2IU4cvvjFL+LrX/86Nm7cGDHgct++fVi9ejWWLVuGb3/723jttddG8FlHGuqkS6+//jrsdrsS2AMDg8rD4TD27NkT87H5+fno6+uLuP3FF19Ea2srvvSlL+k+7uDBgyguLlbdduGFF6Kvr0/ZZktLC06ePKm73HvvvYe2traY+/bBBx9g3bp1WLZsGW644Qa88MILMZenscHpdKKyshI7duzAq6++yjp7IqIEMHNPoyIQCMDv96OwsBAA8NRTT+Hhhx/GVVddha997Wv44IMPsGHDBoRCIbhcLtVj7733Xlx++eW4+uqrMW7cON31P/PMM3jooYdQUVGBBQsWoLm5GY8//ji6urqUEpLjx4/jhz/8Ic444wysXbsWXV1dePDBBxEMBgdtXxoKhZRa4FhGqtvR4cOH8fnPf15124QJEzBp0iQcPnxYdXs4HEYoFMLJkyexe/du7NmzR8m+C4FAAA8//DBWrVqlmiRIpjcTs/j7gw8+UJaRb9cud/jw4ajlUz09Pbj99tsxbtw4rFmzBgDw2GOPIRAIYMaMGfovBGUdt9utlOX4fD64XC5m6YmIhoHBfRZ79913sXbtWpxxxhmora1Fbu7ovt0iC3/06FH85je/QSgUwqJFixAIBPD444/jS1/6Eq6//noAQHFxMfLy8vDrX/8ay5Ytg9VqVdZzxRVXxPyx7+/vx5NPPolLLrkE3/zmNwGcyjD/8Y9/xNVXXw2r1Yqnn34aAHDHHXfgtNNOAwBMmTIF3//+9wd9Lk8++aRqkHA0YubUZOvq6lL2WTZhwgR0dXWpbvP5fPjBD34AYOBk45vf/GbEoN0nnngCp59+esxBrzNmzMCBAwdUt4nJhjo7OwEAp59+OgwGAw4cOIALLrhAWU7M+SCW0/PCCy+gvb0dDz74oBLMn3nmmfiP//gPBvdjiPhuiwDf6/WqbiciosQwuM9Azz77LFpaWvDVr341atYVADZv3oz3338f77//Pv7+979j3rx5o7aPwWAQ//Zv/6b8PWHCBHzrW9/ChRdeiL/+9a84efIkFi1apCrDsdvt6Onpwfvvv68KFBcsWBBzW4cPH4bf748IYD/72c/id7/7HQ4cOIDPfOYzOHDgAP7lX/5FFSRrS12iKSsrG3Q/0sW5556L+++/X5n1+KGHHkJOTg5KS0sBAO+//z6effZZ3HfffTHX84UvfAH/7//9P2zatAmXXnqpMqDWaDTCYDAAGJht+XOf+xx+//vf44wzzkBRURF2796N7du3A4CynJ79+/dj9uzZqkB+xowZygy0NHaICa3a2toQCoVQW1sLgAE+EdFQMLjPMH/729/wwx/+EMBAR5rrrrsu6rJf+MIXsGPHDsyZMwdnnXVWzPX+8Y9/xK9//WusWLEi4e5DekwmE9avXw+DwQCr1YopU6Yo9eaiA8bq1at1Hys6ZggFBQUxtyUy19rlxN/i/vb2dpx++ukRj584cWLM9QPApEmTBt2PkTRhwoSIGZGBgec2YcIE1W0WiwXnnHMOgIGTl/7+fvzmN7/BZZddhpycHPz2t7/FokWLMG3aNOW1CYVC6OvrQ1dXFywWC4xGIy677DK89957+O1vf4tf/epXSneqTZs2KeVVALBq1SocP34cd955J4CB1qcrVqzAb3/7W0yaNCnqczp+/Ljua1pQUKCakZSyn8vlUjL3YsZakcH3er0s1SEiSgCD+xRYs2ZNxMDKiy++OK7HTpo0CRaLBYFAYNCWkmeeeSaefPLJuNb76KOPorW1Ff/zP/+TlODeaDQqAaaWCEZvu+02TJkyJeL+6dOnJ7QtkXn/+OOPVbd3dHSotldYWBixjN7j9KS6LGfWrFkRtfUnTpzA8ePHMWvWrJiPPfvss7Fp0yb4/X6lRr+trQ0vvviiarktW7Zgy5Yt8Hg8+MQnPgGj0YgbbrgB1157Ldra2jB16lT09/fj0UcfVV0Fslqt+NGPfoRjx46hq6sLM2bMwCuvvILc3NyYJ5WTJk3C3//+94jbOzo6dFtzUvaSJ7QqLi5WAnqR0fd6vQzuiYjixOA+Be6///6I4OWDDz7A66+/Puhjp0yZgk2bNqGrq2vQoC4RLpcLv/nNb/DVr341aeuMpqioCOPGjcPRo0d1ZxBO1MyZMzFx4kTs2LFDtb4///nPyM3NxbnnngtgoFzlT3/6E06cOKGU5vh8vph14UKqy3I+/elP43e/+50qU79jxw4YDIaITjVae/fuhcViUcYx3Hrrrejt7VUtU1tbi6KiIixduhRTp05V3XfaaacpA443bNiA6dOnw263R2xn8uTJmDx5Mvr7+/Hcc8/hs5/9bMwg/dxzz8W2bdtw5MgRpTTnyJEjeO+99zB//vxBXhHKVtoa/EAggEAggPr6egb4RERxYHCfgQoKCpJeIrJ06VIsXbo0qeuMZsKECfjqV78Kr9eLY8eO4fzzz1d6v7/88sv4z//8z5hjCbRycnKwfPlyPPTQQygoKMCnP/1p7N+/H7///e+xdOlSJahdunQpnn32Wdxxxx2orKxEV1cXHn/88bhq7kXgOlx/+9vf0NbWplwtEANUrVarMs7grbfewve//31897vfhcPhADAwqLihoQE1NTW4+uqr0d7ejocffhhXXHGFsl+HDh2C1+vF4sWLMW3aNASDQbz66qvYunUrrr/+eqWTj94cASaTCZMnT1aNdThw4ADefvttzJ07Fz09PXjllVewbds23HHHHaquQC+++CK6u7sxY8YMHDt2DJs3b0Zra2tEhx6tyy67DBs3bsRdd92FFStWABjolpPK8idKD6L3fSAQgMViYfaeiCgBDO4pJb74xS9i8uTJeOqpp/DMM88gNzcXNpsNCxYsiGirGI8rr7wSubm5eOqpp/CnP/0JkyZNwrXXXourr75aWaawsBB33HEHHnroIaxfvx6nn346vvWtb+HRRx9N5lOLqaGhQTVh1FNPPQUAOP/881UzJ4dCIVWP/gkTJuDuu+/GL3/5S9TU1MBisaC0tFQ15qKgoAATJkzAk08+iePHj+O0007DzJkzcdttt+Giiy5KeF9zc3Pxl7/8RSntOvfcc/HjH/844uQgHA7jqaeeQmtrK8xmMz7zmc/ge9/7nqouX8+4ceNw11134cEHH8RPfvITTJ48GV/5ylfw8ssv48SJEwnvL2UnUZ6jbZFLRET6DOF4mndTUgQCASxfvhwbN27ULcu5//77sWbNGnziE59I0R4SZQZ+X7JbfX09B9ISEUlixZBazNwTEVFakQfYEhFRYoyDL0JERDTy6uvrUVFRgfr6+lTvChFRxmJwT0REaUFufUlEREPD4J6IiNKCy+WCzWbj4FkiomFgzT0REaUF1toTEQ0fM/dpQsxY29/fn+I9yX6hUAjHjh1TtZqkzCK+J6FQCI8//njEpFyUmXp7e/l+Zgm+l9mF72dmYXCfJiZNmgQAOHjwYIr3JPuFw2G0t7eDXWAzl/ieTJgwAU888QR/cLJEb28v388swfcyu/D9zCwsy0kTFosFF110EZ555hkAwJlnnqmaBZSSJxQKobW1FSaTSbliQpmhv78fBw8exDPPPIOLLroI48ePT/UuERERpRUG92lEzKYqAnwaGaFQCEePHsWUKVMY3Geoiy66CFdffTWCwWCqd4WIiCitMLhPI0ajEcuXL8eVV16J48ePsyZ8hASDQaxZswZ33HEHzGZzqneHEmA0GjFp0qRBZ+cjIiIaqxjcp8CaNWsiMsbl5eUoLy8HMFCiY7FY8Oyzzyq3jZaxsM1AIAAAmDlz5qgFiWPhdU3VNlNhrLy2Y+H9HCuv61h4L4Gx89ry/cyO7Y3UNlmTkAL3338/PB6P6j+9N/bZZ58d9X0bK9scbWPldR0L7yUwdl7bsfB+jpXXdSy8l8DYeW35fmbH9kZqmwzuiYiIiIiyBIN7IiIiIqIsweCeiIiIiChLcEDtKBKTJokBnYMJhUJxL5ssY2GbYlujuc2x8LqmYpupeC+BsfHapmKb/G5mzzb53cyubY6V9zOd30uxTDwTcBrCnKZz1Bw9ehQrV65M9W4QERERUQZ6+OGHMWXKlJjLMLgfRaFQCO3t7Rg/fjwMBkOqd4eIiIiIMkA4HMbJkydRWFg46AScDO6JiIiIiLIEB9QSEREREWUJBvdERERERFmCwT0RERERUZZgK0zKer29vXjsscewbds2dHV1Yc6cOVixYgWKi4sTXtfGjRuxYcMGzJ49Gz//+c9HYG9pMEN9Pw8cOICmpia8+eabaGtrQ35+PubNm4frrrsOM2fOHKW9H5uG8x1M5veXkmMo7wm/f+kpWd8v/jamF2buKevV1dXhqaeewpIlS3DDDTfAaDTizjvvxDvvvJPQeo4ePYrf/e53MJvNI7SnFI+hvp+///3v8Ze//AV2ux033HADLr/8crzzzjtYvXo13n///VHa+7FpON/BZH1/KXmG8p7w+5eekvH94m9j+mG3HMpqBw4cwC233IKVK1di2bJlAICenh7ceOONmDhxIu69996411VbW4uPP/4YoVAIfr+f2YkUGM77uW/fPpx99tnIy8tTbjty5AhuvPFGLFq0CLfccsuI7/9YNJz3LJnfX0qOob4n/P6ln2R9v/jbmH6YuaestnPnThiNRlx++eXKbSaTCU6nE83Nzfjoo4/iWs/bb7+NnTt34oYbbhipXaU4DOf9PO+881SBBQDMmDEDs2fPxgcffDBi+zzWDec9S9b3l5JnqO8Jv3/pJxnfL/42picG95TVDh48iJkzZ8JisahuP/fccwEAhw4dGnQd/f39+OUvf4nS0lLMmTNnJHaT4pSM91MWDofR0dEBq9WatH0kteG8Z8l+v2n4kvme8PuXWsN9L/nbmL4Y3FNWa29vx6RJkyJuF7cdO3Zs0HVs3rwZH330EVasWJH0/aPEJOP9lL344os4duwYPvvZzyZl/yjScN6zZL/fNHzJfE/4/Uut4b6X/G1MX+yWQxkjFAqhr68vrmXz8vJgMBjQ09MTcSkYGLj0CAzUF8bi9/vx2GOPYfny5Zg4cWLiO01RpeL9lH3wwQf4xS9+gaKiIjgcjrgfR4kZznuWzPebkiNZ7wm/f6k3nPeSv43pjcE9ZYx33nkHt912W1zLejwefOITn4DJZEJvb2/E/eKgJQ5i0WzYsAETJkxARUVF4jtMMaXi/RSOHz+Ou+66CxaLBevWrUNOTk78O04JGc57lqz3m5InGe8Jv3/pYTjvJX8b0xuDe8oYs2bNwne/+924li0sLFT+r3dp8fjx4wCAyZMnR13HkSNHsGXLFqxatQrt7e3K7b29vejv70drayssFgvy8/MTeRr0f0b7/RROnDiBO+64AydOnMD69evjegwN3XDes2S835Rcw31P+P1LH0N9L/nbmP4Y3FPGmDRpEj7/+c8n9Ji5c+fizTffRCAQUA0a2r9/v3J/NMeOHUMoFMJDDz2Ehx56KOL+VatWYenSpewSMESj/X4CAxmpH/3oR/jwww9x9913Y/bs2YnvOCVkOO/ZcN9vSr7hvCf8/qWXob6X/G1MfwzuKastWrQIf/zjH7F582alj29vby+ef/55zJs3D1OnTlWWDQaD+Oijj2C1WjFx4kTMnj1bt2xkw4YNOHnyJG644Qacfvrpo/ZcaHjvZ39/P2pra9Hc3Izvf//7KCoqStXTGFPifc+071cij6XRM9T3k9+/9DPU95K/jemPwT1ltXnz5mHRokV45JFH8PHHH+P0009HU1MT2tracNNNN6mW/dvf/obbbrsN11xzDa699lpMnDgRJSUlEevctGkTAOjeRyNrOO/nb3/7W7zyyitYuHAhOjs7sW3bNtXyl1566Wg+lTEj3vdM+34l8lgaPUN9P/n9Sz9DfS/525j+GNxT1luzZg02bNiAbdu2oaurC3PmzMHtt9+O888/P9W7RkMw1Pfz4MGDAIDdu3dj9+7dEfczuBg5w/kO8vubfobynvD7l574/cpOhnA4HE71ThARERER0fBxEisiIiIioizB4J6IiIiIKEswuCciIiIiyhIM7omIiIiIsgSDeyIiIiKiLMHgnoiIiIgoSzC4JyIiIiLKEgzuiYiIiIiyBGeoJSLKYFdeeaXqb4PBAIvFgjPOOAMOhwOlpaUwGAzK/Q888ACamprwX//1X7jgggtGe3dH3OOPP44nnnhC+Xv27Nn4+c9/rvzd2tqKVatWYdq0afjNb34TcbssNzcXp512GqZMmYKzzz4bixYtwqc+9SnV6yl0dXXhmmuuUd2Wra8xEaU3BvdERFnA4XAAAEKhEFpaWrBv3z7s3bsXb775Jm699dYU793oO++883D66adjypQpCT3ObDbj4osvBjDwWp44cQLvv/8+tmzZgi1btuDss8/G9773PcycOVP1uNzcXOU92LdvH/75z38m54kQESWIwT0RURa4+eabVX/v2bMHd955J1566SUsWbIECxcuTNGepUZpaSk+//nPJ/w4q9Ua8VoCwKFDh/DrX/8ab775JtatW4f7778fU6dOVe43m83K4x544AEG90SUMqy5JyLKQsXFxbj00ksBAC+//HKK9ybzzZ07F3fddReKi4vR0dGBX/3qV6neJSIiXczcExFlqTPPPBMAcPToUd373377bTzxxBP429/+BgD45Cc/iZUrV2L27Nmq5bq6urBt2za8+uqrOHz4MI4fP47x48fjnHPOwb/927+huLg4Yt0nT55EQ0MDXnrpJbS1tSEUCqGgoABnnXUWSktLceGFF6qWDwaDeOaZZ7Bjxw4cOXIEAHDGGWfgiiuuwGWXXTbs1yIZcnJy8K1vfQvf+ta38PLLL6OtrQ3Tpk1L9W4REakwuCciylInT54EAOTl5UXct3v3bmzatAnnnHMOPv3pT+PQoUN47bXXsH//fvz85z/HpEmTlGX379+Phx56CNOmTcPMmTNRVFSEjz76CHv27MGePXvwne98B06nU1m+v78fP/jBD7B//35YrVZccMEFyMvLw7Fjx/Daa69h3LhxquC+o6MDP/jBD/Dee+9h0qRJOP/88xEOh9Hc3Iy6ujq8++67+OY3vzmCr1T8ZsyYgbPOOgvvvvsu3n77baXOnogoXTC4JyLKQuFwGK+++ioAYM6cORH3b9q0CevWrUNJSQmAgYC8trYWf/nLX/Dss89ixYoVyrIzZ87Evffei6KiItU6/v73v6O6uhq//vWvsXjxYowfPx4A8M4772D//v0455xzsH79ephMJuUxgUBAycwLP/3pT/Hee+9h6dKlcLlcysnI8ePHcdddd6GhoQGf+cxn8OlPf3r4L0wSnHnmmXj33Xdx+PDhVO8KEVEE1twTEWWR/v5+HDlyBD/96U/R3NyMvLw83YGll1xyiRLYAwMlJ1dffTWAgeBcZrPZIgJ7ADjrrLNQXl6OQCCAt956S7n9448/BjDQsUYO7AHAYrHg7LPPVv4+ePAgXnvtNZxzzjn4+te/rrrKMGnSJNx4440AgOeeey7u12CkWa1WAAPlSkRE6YaZeyKiLKDtdw8A48ePx80334zTTz894j69OvkZM2YAGMiYa/X398Pn86G5uRnt7e3o7e0FAKUrjJyNP/PMM2E0GvHCCy9g9uzZKCkpUQJirT179gAALrroIhiNkfmms846C+PHj8eBAwd0H58K4XA41btARBQVg3sioiwgar+NRqMyidXFF1+MCRMm6C4/efLkiNssFgsAKIG7cPToUdx11104dOhQ1O2L+n5goIzH5XLhkUcewX//93/D4/Fg9uzZsNvtuOyyyzB37lxl2dbWVgDAo48+ikcffTTq+nt6eqLeN9r8fj8AID8/P8V7QkQUicE9EVEW0OvNHoteljyan/3sZzh06BAuvvhifOlLX8LMmTMxfvx4GI1GbN68GT//+c8jstlf/OIXsXjxYrz88st444038M477+Dpp5/Gpk2bsGrVKixduhTAqSz4/PnzYbPZEnoOqXLw4EEAwCc+8YkU7wkRUSQG90REFFUwGMQbb7yBgoICVFVVIScnR3V/S0tL1MdOnToVV155Ja688kr09/fjpZdewk9/+lM8/PDDcDgcmDBhgjKD7EUXXYQvfvGLI/pckuHIkSM4ePAgjEYjzj///FTvDhFRBA6oJSKiqE6cOIFQKITCwsKIwL6vry/uCbJycnJw6aWX4pxzzkFfX59So/+pT30KALBr166k7vdI6O/vxy9+8QuEw2GUlJQoJyZEROmEwT0REUVVUFCA0047De+//z727t2r3N7f3w+v14sPP/ww4jFvvvkm3njjDYRCIdXtLS0t+OCDD2AwGJSa/3nz5uFTn/oU9u3bhwcffBCBQCBifYcOHcLrr7+e5GeWmEOHDuH222/Hnj17UFhYiBtuuCGl+0NEFA3LcoiIKKqcnBwsW7YMjz76KP7zP/8T//Iv/4L8/Hzs378fHR0dKC8vx7PPPqt6zKFDh/DrX/8aEydOxFlnnQWr1YqPP/4Yb7/9Nnp7e1FRUaEa0HvLLbfghz/8If70pz9h+/btOPPMM1FYWIgTJ07gvffew9GjR7F06dKk9rk3GAy6t/v9fjzwwAMAgFAohEAggH/84x9K+dE555yD733ve7oDkomI0gGDeyIiiunLX/4ypkyZgqeffhr79u2DyWTC/Pnz8dWvfhV///vfI5ZfsGABOjs78eabb+K9996D3+/HxIkTMX/+fHzhC19Q9dcHBq4O3HvvvdiyZQv+/Oc/4+DBg9i3bx8KCgpgs9lw5ZVX4pJLLknKcxFdd8xms+79wWAQTU1NAIDc3FxYLBZMnToVZWVlWLRoET71qU9FPTEgIkoHDO6JiDLYM888k9DyN998c8zOOtHW53A4lHabsrlz50ZMkjVjxgzVDLfxMJlMyuDbkSRab06dOlV1+/Tp0xN+LYmI0hGDeyIiyjpbt27FW2+9hSlTpuC6664DMDAAWMx0e8EFFyR1e8FgEA8++CAAYN++fUldNxFRIhjcExFR1tm3bx/27duH2bNn43Of+xyefPJJ/O1vf8M///lPTJ48GaWlpUndXl9fn1LOQ0SUSoYw59EmIqIs9tZbb6G6uhpWqxWf+tSncN1112H69Omp3i0iohHB4J6IiIiIKEuwzz0RERERUZZgcE9ERERElCUY3BMRERERZQkG90REREREWYLBPRERERFRlmBwT0RERESUJRjcExERERFlCQb3RERERERZgsE9EREREVGW+P88ZpGxOb7LGwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "new_period = pg.period_at_max_power\n", "lc.fold(new_period).scatter(label=rf'Period = {new_period.value:.5f} d');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "JMrH7qyC9G8x" }, "source": [ "## About this Notebook\n", "\n", "**Authors**: Oliver Hall (oliver.hall@esa.int), Geert Barentsen\n", "\n", "**Updated On**: 2020-09-15" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "AQknrSCV9PuY" }, "source": [ "## Citing Lightkurve and Astropy\n", "\n", "If you use `lightkurve` or `astropy` for published research, please cite the authors. Click the buttons below to copy BibTeX entries to your clipboard." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 85 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:48.099777Z", "iopub.status.busy": "2023-11-03T14:26:48.099556Z", "iopub.status.idle": "2023-11-03T14:26:48.102468Z", "shell.execute_reply": "2023-11-03T14:26:48.102145Z" }, "executionInfo": { "elapsed": 29228, "status": "ok", "timestamp": 1597998185976, "user": { "displayName": "Oliver Hall", "photoUrl": "", "userId": "08831861496876617563" }, "user_tz": -120 }, "id": "AmAGa51_9Vyo", "outputId": "31cc61c5-ac3e-40c3-9aa8-2bb620dbe40f" }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", "\n", "

\n", " When using Lightkurve, we kindly request that you cite the following packages:\n", "

    \n", "
  • \n", " lightkurve\n", " \n", "
  • \n", "
  • \n", " astropy\n", " \n", "
  • \n", "
  • \n", " astroquery\n", " \n", " — if you are using search_lightcurve() or search_targetpixelfile().\n", "
  • \n", "
  • \n", " tesscut\n", " \n", " — if you are using search_tesscut().\n", "
  • \n", "
\n", "

\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lk.show_citation_instructions()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "OOnhHhZR9bXo" }, "source": [ "\"Space\n" ] } ], "metadata": { "colab": { "collapsed_sections": [], "name": "How-to-create-periodograms-and-identify-significant-peaks.ipynb", "provenance": [] }, "kernelspec": { "display_name": "Python 3", "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 4 }