{ "cells": [ { "cell_type": "markdown", "id": "3e048b8e", "metadata": {}, "source": [ "# Timing methods\n", "\n", "This notebook demonstrates some of the \"quick-look\" timing analyses available in `phoptic`, as well as how to extend the available timing analyses using [`stingray`](https://docs.stingray.science/en/stable/).\n", "\n", "## Generating and Reducing Data\n", "\n", "Before we can explore the different timing analyses provided in `phoptic`, we need some light curves to analyse. For this example, I'll generate and reduce some gappy observations (see the [reduction tutorial](reduction.ipynb) for more details on data reduction):" ] }, { "cell_type": "code", "execution_count": 1, "id": "e1dfb3b9", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:25:11.413677Z", "iopub.status.busy": "2026-06-16T12:25:11.413610Z", "iopub.status.idle": "2026-06-16T12:25:13.334167Z", "shell.execute_reply": "2026-06-16T12:25:13.333748Z" } }, "outputs": [], "source": [ "import os\n", "\n", "os.environ['OMP_NUM_THREADS'] = '1'\n", "\n", "from pathlib import Path\n", "\n", "import phoptic\n", "\n", "\n", "out_dir = Path('out')" ] }, { "cell_type": "code", "execution_count": 2, "id": "3717730a", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:25:13.335545Z", "iopub.status.busy": "2026-06-16T12:25:13.335405Z", "iopub.status.idle": "2026-06-16T12:25:58.643807Z", "shell.execute_reply": "2026-06-16T12:25:58.643479Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] variable source is at (131, 115)\n", "[OPTICAM] variability RMS: 0.02 %\n", "[OPTICAM] variability frequency: 0.135 Hz\n", "[OPTICAM] variability phase lags:\n", " [OPTICAM] g-band: 0.000 radians\n", " [OPTICAM] r-band: 1.571 radians\n", " [OPTICAM] i-band: 3.142 radians\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\r", "Generating observations: 0%| |[00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "reducer = phoptic.Reducer(\n", " out_directory=out_dir / 'reduced',\n", " data_directory=out_dir / 'data',\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "id": "b0cb355a", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:03.570466Z", "iopub.status.busy": "2026-06-16T12:26:03.570393Z", "iopub.status.idle": "2026-06-16T12:26:20.082280Z", "shell.execute_reply": "2026-06-16T12:26:20.081954Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Creating source catalogs.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\r", "[OPTICAM] Aligning 1:g images: 0%| |[00:00" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Plot saved to /tmp/tmp6mipb2u_/out/reduced/diag/systematics.pdf.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "reducer.create_catalogs()" ] }, { "cell_type": "code", "execution_count": 5, "id": "aac2caed", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:20.083476Z", "iopub.status.busy": "2026-06-16T12:26:20.083392Z", "iopub.status.idle": "2026-06-16T12:26:38.983627Z", "shell.execute_reply": "2026-06-16T12:26:38.983310Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] [OPTICAM] Photometry results will be saved to lcs/optimal in out/reduced.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\r", "[OPTICAM] Performing photometry on 1:g images: 0%| |[00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "phot = phoptic.OptimalPhotometer()\n", "reducer.photometry(phot)" ] }, { "cell_type": "code", "execution_count": 6, "id": "c6259a29", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:38.984539Z", "iopub.status.busy": "2026-06-16T12:26:38.984464Z", "iopub.status.idle": "2026-06-16T12:26:44.404851Z", "shell.execute_reply": "2026-06-16T12:26:44.404506Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Keys: 1:g, 2:r, 3:i\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] 1:g target ID 2 was matched to 2:r target ID 2\n", "[OPTICAM] 2:r comparison ID 1 was matched to 2:r comparison ID 1\n", "[OPTICAM] 2:r comparison ID 3 was matched to 2:r comparison ID 3\n", "[OPTICAM] 2:r comparison ID 6 was matched to 2:r comparison ID 6\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] 1:g target ID 2 was matched to 3:i target ID 2\n", "[OPTICAM] 3:i comparison ID 1 was matched to 3:i comparison ID 1\n", "[OPTICAM] 3:i comparison ID 3 was matched to 3:i comparison ID 3\n", "[OPTICAM] 3:i comparison ID 6 was matched to 3:i comparison ID 6\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dphot = phoptic.DifferentialPhotometer(\n", " out_directory=out_dir / 'reduced',\n", ")\n", "\n", "unnormed_analyser = dphot.get_relative_light_curve(\n", " key='1:g',\n", " target=2,\n", " comparisons=[1, 3, 6],\n", " phot_label='optimal',\n", " prefix='example',\n", " match_other_cameras=True,\n", " show_diagnostics=False,\n", ")" ] }, { "cell_type": "markdown", "id": "2e341082", "metadata": {}, "source": [ "We now have an `Analyzer` instance that provides a number of quick-look timing analyses routines. Under-the-hood, these routines are mostly wrappers around `astropy` routines.\n", "\n", "By default, light curves are not normalised when performing differential photometry. To normalise our light curves to a mean of 1, we can define a new `Analyzer` instance with `norm='mean'`:" ] }, { "cell_type": "code", "execution_count": 7, "id": "0e9f35ad", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:44.405659Z", "iopub.status.busy": "2026-06-16T12:26:44.405586Z", "iopub.status.idle": "2026-06-16T12:26:44.605536Z", "shell.execute_reply": "2026-06-16T12:26:44.605226Z" } }, "outputs": [], "source": [ "analyser = phoptic.Analyzer(\n", " out_directory=out_dir / 'reduced',\n", " light_curves=unnormed_analyser.light_curves,\n", " norm='mean',\n", ")" ] }, { "cell_type": "markdown", "id": "79137bea", "metadata": {}, "source": [ "### `phoptic.Analyzer` routines\n", "\n", "Let's first take a look at our `Analyzer` light curves using the `plot()` method:" ] }, { "cell_type": "code", "execution_count": 8, "id": "dbd3c0c6", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:44.606624Z", "iopub.status.busy": "2026-06-16T12:26:44.606554Z", "iopub.status.idle": "2026-06-16T12:26:44.972709Z", "shell.execute_reply": "2026-06-16T12:26:44.972364Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Plot saved to /tmp/tmp6mipb2u_/out/reduced/plots/None_None_light_curves.pdf.\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "analyser.plot()" ] }, { "cell_type": "markdown", "id": "6a0641e5", "metadata": {}, "source": [ "As we can see, we have three variable, gappy light curves, all with a mean flux of 1. The filter for each light curve is shown in the top right. We can also see that this figure was saved to `timing_analysis_tutorial/reduced/plots/source_2_optimal_light_curves.pdf`.\n", "\n", "We can inspect our light curve data via the `light_curves` attribute. Within an `Analyzer`, light curves are stored as [`astropy.timeseries.TimeSeries`](https://docs.astropy.org/en/stable/timeseries/index.html) instances:" ] }, { "cell_type": "markdown", "id": "46bdc24a", "metadata": {}, "source": [ "We can also rebin our light curves to a lower time resolution using the `rebin()` method:" ] }, { "cell_type": "code", "execution_count": 9, "id": "65d175bf", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:44.973468Z", "iopub.status.busy": "2026-06-16T12:26:44.973398Z", "iopub.status.idle": "2026-06-16T12:26:45.460254Z", "shell.execute_reply": "2026-06-16T12:26:45.459871Z" } }, "outputs": [], "source": [ "from astropy import units as u\n", "\n", "binned_analyser = analyser.rebin(time_bin_size=10 * u.s)" ] }, { "cell_type": "markdown", "id": "153ba679", "metadata": {}, "source": [ "This method takes a `time_bin_size` parameter, which must be a `astropy.units.Quantity`, and returns a new `Analyzer` instance containing the binned light curves. Under-the-hood, this uses `astropy`'s `aggregate_downsample()` function, which is slow for long timeseries.\n", "\n", "Let's take a look at the binned light curves:" ] }, { "cell_type": "code", "execution_count": 10, "id": "a1c33c50", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:45.461212Z", "iopub.status.busy": "2026-06-16T12:26:45.461142Z", "iopub.status.idle": "2026-06-16T12:26:45.656920Z", "shell.execute_reply": "2026-06-16T12:26:45.656608Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "binned_analyser.plot(save=False)" ] }, { "cell_type": "markdown", "id": "16a69531", "metadata": {}, "source": [ "`phoptic` handles the error propagation during binning and avoids padding gaps in the original light curves with zeros. In this case, the bin size was too large, and the variability of the light curves has been lost. As such, we'll carry on using the un-binned light curves.\n", "\n", "Let's now perform a few quick-look timing analyses on these light curves.\n", "\n", "### Lomb-Scargle Periodograms\n", "\n", "Often times, you might want to compute the Lomb-Scargle periodograms of your light curves to check for periododic signals. `astropy` implements two flavours of the Lomb-Scargle periodogram: [`LombScargle`](https://docs.astropy.org/en/stable/timeseries/lombscargle.html) and [`LombScargleMultiband`](https://docs.astropy.org/en/stable/timeseries/lombscarglemb.html). For convenience, `phoptic`'s `Analyzer` class implements wrappers for both routines that handle the boilerplate, allowing you to get straight to the analysis.\n", "\n", "#### Lomb-Scargle\n", "\n", "Let's first take a look at the standard Lomb-Scargle periodogram:" ] }, { "cell_type": "code", "execution_count": 11, "id": "347b8a5c", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:45.657632Z", "iopub.status.busy": "2026-06-16T12:26:45.657562Z", "iopub.status.idle": "2026-06-16T12:26:46.088561Z", "shell.execute_reply": "2026-06-16T12:26:46.088301Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Plot saved to /tmp/tmp6mipb2u_/out/reduced/plots/None_LSP.pdf.\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/home/zac/Documents/University/PhD/Repos/opticam/phoptic/analyzer.py:491: UserWarning: Attempt to set non-positive xlim on a log-scaled axis will be ignored.\n", " fig.clear()\n" ] } ], "source": [ "lsps = analyser.lomb_scargle(scale='semilogx')" ] }, { "cell_type": "markdown", "id": "ee343dce", "metadata": {}, "source": [ "We can see that each light curve has a dedicated periodogram, and the corresponding filter is shown in the top right of each panel. In this case, all three periodograms show a sharp peak between 0.1 and 0.2 Hz.\n", "\n", "By default, the `autofrequency()` method of `astropy`'s `LombScargle` class is used to construct the frequency grid of the periodogram. Alternatively, you may pass your own frequency grid. To avoid confusion with units, custom frequency grids must be passed as an `astropy` [`Quantity`](https://docs.astropy.org/en/stable/units/quantity.html). For example, let's recompute these periodograms in the 0.1-0.2 Hz frequency range. However, we do not want to overwrite our previous plot, so we'll also pass `save=False` to prevent the new plot from being saved:" ] }, { "cell_type": "code", "execution_count": 12, "id": "50778d7d", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:46.089405Z", "iopub.status.busy": "2026-06-16T12:26:46.089331Z", "iopub.status.idle": "2026-06-16T12:26:46.262362Z", "shell.execute_reply": "2026-06-16T12:26:46.262016Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from astropy import units as u\n", "import numpy as np\n", "\n", "frequency = np.linspace(0.1, 0.2, 100) * u.Hz # units of Hz\n", "\n", "lsps = analyser.lomb_scargle(frequency=frequency, save=False, scale='semilogx')" ] }, { "cell_type": "markdown", "id": "bccc0f9d", "metadata": {}, "source": [ "Now we can see that all three bands suggest a signal with a frequency of between 0.12 and 0.14 Hz.\n", "\n", "Like many of the timing analysis methods of `Analyzer`, `lomb_scargle()` returns a dictionary of results that may be used to conduct further analyses. In this case, the keys list the filters and the values list the corresponding [`astropy.timeseries.LombScargle`](https://docs.astropy.org/en/stable/api/astropy.timeseries.LombScargle.html#astropy.timeseries.LombScargle.from_timeseries) instances: " ] }, { "cell_type": "code", "execution_count": 13, "id": "2983f95f", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:46.263344Z", "iopub.status.busy": "2026-06-16T12:26:46.263274Z", "iopub.status.idle": "2026-06-16T12:26:46.264931Z", "shell.execute_reply": "2026-06-16T12:26:46.264750Z" } }, "outputs": [ { "data": { "text/plain": [ "{'1:g': ,\n", " '2:r': ,\n", " '3:i': }" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lsps" ] }, { "cell_type": "markdown", "id": "88c7f75b", "metadata": {}, "source": [ "Let's use the results returned by the `lomb_scargle()` method to precisely infer the peak frequencies:" ] }, { "cell_type": "code", "execution_count": 14, "id": "0a9caa29", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:46.265721Z", "iopub.status.busy": "2026-06-16T12:26:46.265657Z", "iopub.status.idle": "2026-06-16T12:26:46.269881Z", "shell.execute_reply": "2026-06-16T12:26:46.269624Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1:g Peak frequency = 0.13535353535353536 Hz\n", "2:r Peak frequency = 0.13535353535353536 Hz\n", "3:i Peak frequency = 0.13535353535353536 Hz\n" ] } ], "source": [ "import numpy as np\n", "\n", "for fltr, lsp in lsps.items():\n", " power = lsp.power(frequency=frequency)\n", " peak_index = np.argmax(power)\n", " print(f'{fltr} Peak frequency = {frequency[peak_index]}')" ] }, { "cell_type": "markdown", "id": "9f8aeed0", "metadata": {}, "source": [ "Now we can see that all three bands show a periodicity at $\\sim$ 0.135 Hz which, as we can see at the top of this notebook, is the true frequency of variability for our source of interest.\n", "\n", "#### Multiband Lomb-Scargle\n", "\n", "In some cases, it may be preferable to compute a single Lomb-Scargle periodogram for all light curves; this can be done using `astropy`'s [`LombScargleMultiband`](https://docs.astropy.org/en/stable/timeseries/lombscarglemb.html):" ] }, { "cell_type": "code", "execution_count": 15, "id": "afb32a02", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:46.270678Z", "iopub.status.busy": "2026-06-16T12:26:46.270612Z", "iopub.status.idle": "2026-06-16T12:26:46.757774Z", "shell.execute_reply": "2026-06-16T12:26:46.757410Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[OPTICAM] Plot saved to /tmp/tmp6mipb2u_/out/reduced/plots/None_multiband_LSP.pdf.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "periodograms = analyser.multiband_lomb_scargle(scale='semilogx')" ] }, { "cell_type": "markdown", "id": "f31895ce", "metadata": {}, "source": [ "As with `lomb_scargle()`, custom frequency grids can also be passed to `multiband_lomb_scargle()`:" ] }, { "cell_type": "code", "execution_count": 16, "id": "722658d9", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:46.758583Z", "iopub.status.busy": "2026-06-16T12:26:46.758506Z", "iopub.status.idle": "2026-06-16T12:26:46.881418Z", "shell.execute_reply": "2026-06-16T12:26:46.881037Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "periodograms = analyser.multiband_lomb_scargle(frequency=frequency, save=False, scale='semilogx')" ] }, { "cell_type": "markdown", "id": "a19103e0", "metadata": {}, "source": [ "### Phase Folding/Binning\n", "\n", "Now that we have identified a candidate signal, we may want fold our light curves to see what it looks like. `astropy`'s `TimeSeries` class implements a `fold()` method, and `phoptic`'s `Analyzer` class provides a convenience wrapper for this method with some added functionality (binning). To fold a light curve, we need a period on which to fold; to avoid confusion with units, `phoptic` requires that the period being passed is a `Quantity`:" ] }, { "cell_type": "code", "execution_count": 17, "id": "961e7042", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:46.882151Z", "iopub.status.busy": "2026-06-16T12:26:46.882083Z", "iopub.status.idle": "2026-06-16T12:26:47.189413Z", "shell.execute_reply": "2026-06-16T12:26:47.188855Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f_signal = 0.135 * u.Hz # periodogram peak frequency\n", "p_signal = (1 / f_signal).to(u.s) # fold period in seconds\n", "\n", "folded_lcs = analyser.fold(\n", " period=p_signal,\n", " save=False,\n", ")" ] }, { "cell_type": "markdown", "id": "d89a69f8", "metadata": {}, "source": [ "The `fold()` method of `phoptic.Analyzer` returns a `TimeSeries` whose `\"time\"` column quantifies the folded phase:" ] }, { "cell_type": "code", "execution_count": 18, "id": "4b9b90a9", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.190475Z", "iopub.status.busy": "2026-06-16T12:26:47.190396Z", "iopub.status.idle": "2026-06-16T12:26:47.192882Z", "shell.execute_reply": "2026-06-16T12:26:47.192658Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " phase 1:g_rel_flux ... 3:i_rel_flux_err \n", " ... \n", "-------------------- ------------------ ... --------------------\n", "-0.49985981220396775 0.9927922365231538 ... 0.018826567068287076\n", "-0.49718195758777584 1.0254579594988855 ... 0.01942235844109346\n", "-0.49436433950922115 0.9747686690972958 ... 0.018786333424567335\n", " -0.4916866546265685 1.032731595067874 ... 0.01954555786482529\n", " -0.4915470608977449 0.9970192309754101 ... 0.018751167112730765\n", "-0.48605158820299826 0.996719936988276 ... 0.019086226543047577\n", " -0.4805560306414821 0.9927194525989773 ... 0.018785571313010306\n", " -0.4752006608761759 1.0138588907173431 ... 0.019236416175348534\n", " -0.4750604730799659 1.0399651931520213 ... 0.01930735460911876\n", " ... ... ... ...\n", " 0.47252357006055423 0.9818117912596629 ... 0.018799412561319128\n", " 0.4753411032723394 1.0796286849984926 ... 0.02045427008663402\n", " 0.478018788154992 1.0479295012203576 ... 0.01993244061383856\n", " 0.4808365759670859 1.0511768143222913 ... 0.019621510756137085\n", " 0.48351417598297086 1.0114875691871112 ... 0.019339807116727895\n", " 0.48365385457856225 0.998257350737729 ... 0.018905236996256892\n", " 0.4918272667562702 1.0317314056470197 ... 0.01983185690004507\n", " 0.4945047819053846 1.00469588833957 ... 0.019033371977145296\n", " 0.4973226545842472 1.0293166050099545 ... 0.019638849865972717\n", " 0.4999999999998224 1.0242702398309838 ... 0.019575405457908406\n", "Length = 341 rows\n" ] } ], "source": [ "folded_lcs.pprint()" ] }, { "cell_type": "markdown", "id": "f046be8f", "metadata": {}, "source": [ "Additionally, the `fold()` method can be used to phase bin your light curves by passing the desired number of bins to to the `nbins` parameter:" ] }, { "cell_type": "code", "execution_count": 19, "id": "5e2d91aa", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.193642Z", "iopub.status.busy": "2026-06-16T12:26:47.193575Z", "iopub.status.idle": "2026-06-16T12:26:47.327733Z", "shell.execute_reply": "2026-06-16T12:26:47.327357Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "folded_lcs = analyser.fold(\n", " period=p_signal,\n", " nbins=10,\n", " save=False,\n", " )" ] }, { "cell_type": "markdown", "id": "6426c335", "metadata": {}, "source": [ "Phase binning more clearly reveals the pulse shape compared to simply folding. From the above plots, it's clear that there is a lag in the pulsations between the different bands. Currently, `phoptic` does not support quantify lags natively. However, `phoptic`'s `Analyzer` class can be used to export your light curves to [`stingray`](https://docs.stingray.science/en/stable/), which provides a much more complete timing analysis framework - including ways to compute lags. Let's take a look at this now.\n", "\n", "## `stingray`\n", "\n", "`stingray` is a feature-rich spectral timing Python package developed primarily for use with X-ray data. `stingray` implements a number of generic timing analyis routines that can be applied to arbitrary time series. However, since `stingray` was developed with X-ray data in mind, it makes certain assumptions about the data. These assumptions can cause issues for non-X-ray data, as we'll see soon.\n", "\n", "To export your light curves to `stingray`, call the `export_light_curves_to_stingray()` method of `phoptic.Analyzer`:" ] }, { "cell_type": "code", "execution_count": 20, "id": "83afac1b", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.328607Z", "iopub.status.busy": "2026-06-16T12:26:47.328537Z", "iopub.status.idle": "2026-06-16T12:26:47.455532Z", "shell.execute_reply": "2026-06-16T12:26:47.455096Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/zac/miniforge3/envs/phoptic7/lib/python3.14/site-packages/stingray/utils.py:492: UserWarning: SIMON says: Stingray only uses poisson err_dist at the moment. All analysis in the light curve will assume Poisson errors. Sorry for the inconvenience.\n", " warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n" ] } ], "source": [ "stingray_lcs = analyser.export_light_curves_to_stingray()" ] }, { "cell_type": "markdown", "id": "c87f4afc", "metadata": {}, "source": [ "We can see that a warning about error distributions has been triggered. We'll take a look at this in more detail later. For now, let's ignore it.\n", "\n", "`export_light_curves_to_stingray()` returns a dictionary of {filter: [`stingray.Lightcurve`](https://docs.stingray.science/en/stable/notebooks/Lightcurve/Lightcurve%20tutorial.html)} pairs:" ] }, { "cell_type": "code", "execution_count": 21, "id": "4bb5f377", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.456488Z", "iopub.status.busy": "2026-06-16T12:26:47.456416Z", "iopub.status.idle": "2026-06-16T12:26:47.458155Z", "shell.execute_reply": "2026-06-16T12:26:47.457914Z" } }, "outputs": [ { "data": { "text/plain": [ "{'1:g': ,\n", " '2:r': ,\n", " '3:i': }" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stingray_lcs" ] }, { "cell_type": "markdown", "id": "87cd0e8b", "metadata": {}, "source": [ "Let's take a closer look at one of these light curves using the `plot()` method of `stingray.Lightcurve`:" ] }, { "cell_type": "code", "execution_count": 22, "id": "3497aa3e", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.459047Z", "iopub.status.busy": "2026-06-16T12:26:47.458981Z", "iopub.status.idle": "2026-06-16T12:26:47.504917Z", "shell.execute_reply": "2026-06-16T12:26:47.504593Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = stingray_lcs['1:g'].plot()" ] }, { "cell_type": "markdown", "id": "42a6d13b", "metadata": {}, "source": [ "As we can see, the light curve times are converted into seconds, with $t=0$ corresponding to the `t_ref` attribute of the `Analyzer` instance. Additionally, `phoptic` has automatically inferred GTIs for each light curve, which are required for compatibility with many of `stingray`'s methods. The shaded regions in the above plot represent the time between GTIs. Let's use these `stingray.Lightcurve` instances to do some more advanced analyses.\n", "\n", "### Lags\n", "\n", "#### Cross-correlation\n", "\n", "Having recognised a lag between our light curves, there are several ways we can quantify it. For example, we can use the cross-correlations between light curves. This is a relatively simple approach, but it has the benefit of working with arbitrary time series. We can compute cross-correlations in `stingray` using [`CrossCorrelation`](https://docs.stingray.science/en/stable/notebooks/CrossCorrelation/cross_correlation_notebook.html):" ] }, { "cell_type": "code", "execution_count": 23, "id": "2024f430", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.505895Z", "iopub.status.busy": "2026-06-16T12:26:47.505824Z", "iopub.status.idle": "2026-06-16T12:26:47.547900Z", "shell.execute_reply": "2026-06-16T12:26:47.547524Z" } }, "outputs": [ { "data": { "image/png": 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R6FgCXVBwnjv1BA2QooKWLlJ6vcVh0R9HiKtpWkSIW1dI0CJoSOialpLTj4UaQQ0100InMRHiDhw7ckV87FdP4e7n17Lv20xLDE2LB8anRU8hsamfWC0D4mtaFFqaJGhRoEHLUDMt3SSFnEq4K5XoYQwmPRSnkWar3As1QYIWQUPCDFJcYlwtPTTkTItoWgaDR5Ztwt3Pr3N25LaFuNV9Wvz0kCHENX1aYniwcCXPlk9LjPtLgpYQdEEx1JqWHbmQQXFdp1JZNwt0Bi1UiFuobi5XcIwFrU2izqgFErQIGhLmyrfH4dUynJoW2nk6V5CgZaBQ7qLOfi7F6imboMszEdnSzTww/Ym4kudY1UOSHhoM6qVpeeiVjTj+hgewOMKenzItrgWF1dsqRtDiYlr0hon897Vl5V6oBRK0CBoSJWNScTIteVo9NIxCXEkPDRh9ef/69Dt+u1wsG/9K6idNAxKeaQnSQxH7Cf9mmBbjHnRNhnTya5HVdQC6oOBYs7g496dP4LVNPTj7R487t6FBiyu4tB2X+aClN1Z6qLqWro3cC+KgHR8StAgaEpZQ0kEv9w8j06JrWoRpGSiqMS22I25EekgT4obv+12e/X+HupfqlUGs6Dcm00L76jRHiEB3NvTXWdMSZWlAKwxdz6bp4xRHJ+e8VzVzOX4/VNPS1Tf0vZfGCuQJEow6rNzSi43d0Z1fzUHOtVLTKhSkemhUQ01iLofQfIWBUTrKQmxzufB9zhGXF9nqr3ETomUu57i/tpMJSdbTIXo1FnSohbhE0+Jg8mIzLTEaJsZJD9FgeZsELbEhQYtgVKGrv4C3fu1+HPqV+zQBpYk4TIvneVrQMtSBBD0GseYeONS16ndcJzWxKV2ImSIEwsBRt/En6SHaeyhSiFudaTGDJhfTQoMWaaoYYqSqh1zBpXltXC69cRomxhHi0kBtqzglx4YELYJRhfXb+4N/r9zS59zO7MzLMS25YllbZQ/1ak6YFjceWbYJa7e7rycQalryxbIjHeO/r2h1tuS5ZJY8e5oPi+7T4lM2UakfFSBxPiJxbfwlaOFBJ/woTcuyDd2RXkxxQNNDTk1LjDJ3wBDiOnsPVWda6Ovbe4VpiQsJWgSjCslk6KHw3Optzu3i0Pcm2zHkmhbaUbpYjmSKdiYsWroRH/jx3/G2bzwUuR0tH+WEzEoboMqGo2z8m1L+NjRI8f/2LJ8W3qSurH1XnLLoOEGLuKOGiKNpWbahGyd+4yF86tfPDOq7ahHiujQt8XxaqmtaaJC0rU+YlriQoEUwqkAHiudXbXdvZwQE3ATWZwQtURNGvljGV+56aVA26+YxCNviQ5nFdVdZLdMVbD9TMq6uX2vGr7rg00MqIAmDXzoheggNxDIxfFqUcJYPkAauaRlqr6BGQq/GtPAT++ubeiv/7xnUd+2oZ/VQXt9XFCsY9X10PNoWwbQ8tXwrLv75YqzY3OvcZmeCBC2CUQXqmfFcRNBi26zbA4OZb45iWr73wKv40aLX8YEf/z3uoVY9pqEOWl7buAOfvvkZvLK+e0i/Z7DY0BUtqlbQtAIM7a4G+ZaI9JDZewjQr0u5TLo8RzEtlf00q/QQ2+dINC2DQV+Mholqm6iAlwaoLsSpHorr02IG1JwYN1Z6iPgORQUt7/7eo/jzS+tx+e/+4dxmZ4IELYJRBTp4vbB6u5OiNVfZcZiWqFXuff9cP5DDZGFqHIbaq+WcnzyB259dg/dH+FOMBmyoUgmm0KsxLRFBSyWQ4AJVU2RLXwMq5nKGI25U9VA2E5UeiufTIkwLDz095Kj+qwQEUZqWTETXZgXaU6hIAlcK0wfIFbSYQYqZIvI8T9NAxdK0xKgeWlNFE7azQIIWwagCTft054p4YzNPC1vmX8ygNxBNy8vrugZymCzMapKhdsVdvc0fxDbtGN358Grl6wr0epnXzvO8YPWqhLiRwYbGtITXwfdpMbxcItJDLZlk5W93KkrBFZB0CdPCIk56SLGlvfmSM4hIJwfGtAD8tbKYlhjVQ+rYtM8ZncVd9wW9p+JUD4mbsg8JWgSjCubA5PIvMLfjUgWqGiXchh886IQ4GJRirrx3NmzcMfD0kBm00OsTJcQNLfpT1muAHxTHYlqM9FA13QLg9v+Q9BCPvhg2/rRLu8v12sWqUVAhLsA/m1bQwtxf5bIXpIdUsGQyL+ZY4hpb6OtR6SGF1qy4KQMStAhGGaxgxDHIx9K0xGRaFGMBAFM6srGOM84xiZW/HyhqQUOEH0dvhBCXBpwB02IEDZ7nWQ0TAfu6mDb+fO+hihA3KHmOEOtW2Jg46SGpHgrRX4jDtIQBgStFRNNDLrO3OPq2OEwLbTExoa2J3bdZHu/2aQlfN5kgDq3CtACQoEUwymAGLVEdWSkGUz30wuowNRSDaXZiuIW4jYB1xHcHiNZ09EdoWui1CzUt+u9N7wmteojcG9TGPxPh01Iy0kxRZdGqW6/r/hKmhUccczm6jStooY+sqwTZvO/Y9FAMTQvd/8TWJvY7zSCFuy/KZU+7f7mWFCZapUM4AKAh+aaVK1di/fr12HPPPdHZ2Tnoz7z66qtYu3at9lpbWxsOPPDAuh2zIB6soMXJtFQvT+w3V1eOgeF54gfjqmKIA0uIuxN0er5/yQbMntCKPaa2s++v3KqXaeYK5YC9MBFVPaSuXTIRimNtti3821k95PGOuJ7nIZEggY5nBy3mNqZDr9mFWoGW2w61wWEjoTdGM1N6H5gpHgXqg7IjV8Q0bpui+WwyPkAxqocUq9KcSaK10qXZDFriaJ0sNsZxX1C2tkWCFgANFrT09/fjAx/4AO655x7MnTsXy5cvx/XXX49PfvKTg/rM17/+ddxyyy3Ye++9g9d22203/PznPx/S89lZsbE7h7ueW4N3HTQL41oy2nsmJesKWsxsELdSsdND/MDw5Otbg38Phr43Bx5Xt+KxglfWd+OCG58EALxx3ansNqu26hUP/iCcYbeNTg+FKR2lJYiy2s+kkkgmKr2GXNVDJK1Q9gBaORsyLeFEUSx7GoOjAty2rLssGtAZt3ypbAU/YxEPvrIRK7b04pzD5zq3icO00HuiJ1fdyK3XsY05jsQS4nJBS+WYW5vSQbBaTfDP3Re27sUl4g4DNVewv7OhoYKWq666Ck888QReffVVzJgxA7fddhve9a534bDDDsOb3/zmQX3m2GOPxS233DJcp7JT44M//juWrO/Gi2u68PX3HKC9Fzc9pJiW5kwS/YUyL8SNUfLcXyjh2VXbyH5rXwmbxz7WmZZVhEVZs60PM8e3WNuY6SFXyqxc9rT3rPRQ5b0mErTYFWTh36lkAslEAmXP01g539af072UkUra4t1shmxT8kDnjdA11x9GXfeqec75UlkLhsYizvvpEwCAA2ePx767jLPeL5U9bXJ3PXf0PnDpPuh+XGJddW3SyQSKxneb29BjNKGYlpZMCqkkn16M49YdJ4UE6KXaUXqwnQkNpWm58cYbceGFF2LGjBkAgHe+853Yd999ceONNw76M/39/Xj66afx6quvohzRB0MweCypmKEtWmq7z8ZND5krYW6AMYMGThD33Krt+uA5CPrepHzHuhCXnu7TK7ay25i/gStoMVkpl6Ylk04i7ejOTO+BVCIRtITQmBbP7vJsngv9jKt02j+mSgl2JZJx3atRlVBjEXFKec0FRTymhQ9INKaFCVpK5TAl2N5cCTAjhLiKTWNTzpXjzmaSYdDimUGKWVXGMS3x0kOaiFuCFgANFLSsWbMG69evx8EHH6y9fthhh+GZZ54Z9Gf+9Kc/4fzzz8cRRxyBuXPn4u677448nlwuh66uLu0/wcAwc3yz9Vp8pkWfVNiGdoSNce3ryTe2AAAOnTdB+wyHB1/ZiLd/8yE845igR8rGf6QyDXRV+9TyuL8JH8iZugCLcicr5bSaVMwGd0T3kkwmkErwk4+LaaFg00Mms1P5voGkh4CxL8bd2hMGKi5vEbPixumIm49mWkxBK5dCotelrSkiaDHK3Lkuz+paZtOp4P4ye4zFSQ+ZY5E7PURM8aTyDEADBS1btviTy6RJk7TXJ02aFLxX62dOPvlkrF69Gs899xzWrl2Ls88+G+95z3vw6quvOo/n2muvxbhx44L/Zs+eXdN57WygD94uE1qt982BohrTogaYqOZ5UdUdKmg5YvfJle9307Dn/fQJvLyuG/92y3ORx6QwXEFLHHOtoQCdRJ5esY3dxhycXb+JOYlFaVoySZ5pUX+nK+9z9H257IW9h1Juf4+wh5G7dFr93RLcX8w9WLJ707ju6evvfRln/eAx1g24kbCZBC2uRYd5ji5H3GrpIXP/HBtD77mOCtNiut8C4XWJMi/MB0FLMtAlmbuKJcSNSG1SSLm8jYYJWjIZX7zX36/nyPv6+tDU1DSoz7zrXe/C1KlTAQCpVArXXnstMpkM7rjjDufxXHnlldi+fXvw38qVKwd+Ujsh1hKNw6Q2+7pZD3wVnxbFonCrEPWaGoS4CXNLZYDdfUpb8BrH2lDEseUG+AqFoUBqhIIWOkG8uHo7O9laTItD52N+1lWu3pQOaXlXekgxMYqBott5ZLumiKClTPYVaGis9FDl/opID3H3nOv++d4Dr+Lvr2/BXc+tZd9vFGwhQYsrSLXKhGtMD5m/ZQ9T8kyvSzAWMPeh2k6xQ6zVf5Heh/5r1dJDvBC3euoaALqk8sxCwwhxZ8+ejWQyidWrV2uvr169GnPmzKnbZwA/cJk0aZL1OYpsNotstnYjsp0VK7aE4k2Ofh2opiWO+ZcaqKLy2IqNAfyJ1jSfpEHRjHG24JQ99iFcGVFKOjVC+aEdhIovlj2s296PeZPbtG3Mid6VHjKDFJcQN5NKhJoDMz1U+f3V7xEwLWQ7qmlJJsFWGGn7qqSjimWPSQ8ppqVyfzGVQdoqP5tGd67ITuT0+9d391vvNxIo0+IKUi1NS5WGiQDPtJgTeW9EYNOUTgbpvqjqIcWccalidf9mSfBsBjd2QOJmbIK/46SHRGsJoIGYltbWVrzlLW/R2I+enh7cd999OOmkk4LXli1bFuhV4nzG8zz09ellmUuXLsXy5cux7777DuUp7ZRYTtqrc5SolR6qUj00WPMvNXi0Nbm1CwCwnARb41v5kl2rjNFRYl0P0N8lOQqYFiAeDe4KQm1NCz+oZ1KhENfct7oH1O/BaVpo9VAqmQhSSeZqWd2HqUTCmY5SjJzStHDbqEmuKZUM/GW434CmAeI0zxvN2ELaNriCVJOFrNZ7CHCkh4zfMoppyaaSgY4pStOi+k1xMQLVtCQTfPWQui9dpfn0tahWEoAetAjT4qNhmBYAuOaaa3DSSSfhyiuvxBFHHIHvfOc7mDp1Ki6++OJgm+uuuw6PP/44XnjhhVifKRQKOPjgg3HhhRdi4cKFWLFiBb761a/ioIMOwtlnnz0i5zmWQZkWbnVlBgyuoEUNKAHTwqaHYjAtSnxHghYuPbR0/Y7g3y7XTXMllC8NXXqon/RVGilNixm0cKvquJ2QqzItRNMSalX0fQWBRlKlh+ygxUMYoKQSCX/bkrt8OpVMIOUU/uqaKcC/x6gORgVf2XQyFI0z9yqtslm9tbG7+cZJD9kBZ/X7Ik56iKseCgLedJWgJWBa3F3Ec0z1kLnQUvdJS1MK3f1FdgxT91dbUwr5YjmocDJTvdtFiGuhYZgWADjmmGNw//33Y/ny5fjWt76FhQsX4uGHH0Z7e+jGOX/+fBx00EGxP9PU1IS//vWv2LRpE775zW/i/vvvx7/927/hkUcekfTPEGDllgEyLVUccRXdy7EjBWNSiWJaovw/AODVjTRo4UsvrYqmIVwZ0RLhkVp/2Z1zY2haXGXBVaqH1IDdlEo6S1IDpiVID+mvAz6zqm6xhApa4Na0UDbG1e+KVsjYQVo4yanj5iYx2jCPBvaNiM0xghbzXuHGAs/zqqaHbCGum2lp0pgWe7ucoWnhHt+QaUkG95k5Zql7oC1i3CkwaWluO+rTIkyLj4ZiWgDgyCOPxJFHHul8/3Of+9yAPzNjxgx89atfrcvxCaKhMS3MSsZ8bqtrWtSEwq1mdCFuFNOSTScD7QI3eCyteMsAupZD+z4i/M0Vy0Na2kppc5eIb6hRG9MSs+TZ2C5cLSectHwpCDT8v4P0EBnsNS+XZMLptaHuHT9o4YPZsGFiComEr5exqqUCpiUVucrfRpgWmkJtRGhMi0OMbv4G3EIhVyyDXhbuubPSQxGBTVM6iWzKbX8QpIcqgQQ3PtH0kPpuc1emlo4LNvIlfWwC+MCNOuJK9ZCPhmJaBI0PSoNzD6k5UFSrHlJMC19uWqFgs0p85xbENaWTzhU1ALy6sSf4t4tpURNiaxWH1HqArkCH8nuiYK5quVW1pfGoIsxU7LjVOVez8ed1TFSHAoCUpIbfqbnmRjAt6idNUV8Ys9+V8o5JJYJKJPM+pCvzIGhh00O6pmV7b+PqWuKkh8xnkXvmzHsgXvWQW/eSSSWCa8BXDym3W3V/McdNrqcKjl1Mi+pNRM3twm30wAbgFx9aekjM5QBI0CIYZlCKN6q7roKzy3Ploc9m3EJcNXi0ZJShlNt4qqnCtPj7sr+THrfbmVOvJhlKBoSmTwolzzK4Gg6YdD3HoqjfV7EV1Xw7VC8q26clFOJyaR/6dyDEZUqj6Yo+meS9XABdH5N2lFiHXi5h0GI15lNC3HQy0LpUY1oAYPmWHmubRkGsoMXq82NvZ+qcdjANE21NS0R6KJ0KUrdR1UOtkUyLXT1kByTVUz/q7yxpB1AtPSSaFh8StAiGDZ7naQMPy7QYL7ko0cCnJR0hxFVityzPxpTLHruCZ+lc2t/ElR4y01HDxLQAI5PvVqtalaKL8iRpq9SQu5gWNdlMqHj3mOmhILhMhVoCu+LH/3/KCFropEInIhqQOEueE4mwbYCjyV06mUTGIbJV59ucSTkDG0DXtACNnSLSg5aY6SFmLDADkGrGcYDNzgD6wiRO9VCzo4s4/b5oTYvNorgccKmWjrNtMBcnAglaBMOIXLGsDQQ80xIvPWRpWlghrl4NYA4c9G9/JewW4tLBsa9Q4kusFdMSUdFUL7h68wwn1CQysdUPNLiARP0m7SpoqeLTovZlCnMpxR8yYjw7kgzSQ5VjINvRiSGZCPUxLqv/KHO5YhDwht4x5v3aT1bmTTGrhwBgQ3fO2qYRUC572rm4gtSoDt0K6h5XwWdPvmgxiuZEbgbzAF/yzAXYpiMuay6nNEqZsOTZ5dPSGmGjoKWsVGox4pjofnd2SNAiqBsef20zjv+vB/DIMrsRIgB0G/Qur2nx/68mChe9HPYVcpcnBpqWgO7Vc8t0EGhKhekhruTZTC1xupawbUB0A716wJU+GU6o9NDE9krQEpEeinIlBkJTsIkB02KeX8iIVRPiKl1MitmOltknE+4ASN1PdBvbp6US2CTdehU6yQ2EaWnUVMC2vgLoz1QtPZSN8ClRTMvkyv1V9hiGsainHzmmhYq4m1IxzOUimRYmPWSVPId6uyBwtpgWwvCm3Okh+vuJpsWHBC2CuuHeF9bhtY09uOcF3obc1EDw1UP6wMEN8J4X9o+JKi8OSlKb+JJUuu8m2tMmQu2vwOXOzV5HnPC3XjAH5+FuwlcslYPAaWKbbw3Ap4cqTEtzNNOi7Mqndvr7iuzy7BLikjJl+v+iS4hLmira+yLbOO4Lda+mU4lAr2KuljkhbhTTEnXfNwJoagiISA8ZwSwXpKkAZXxL2O7D5SSrtFDcYiKw3q9mLmf4tETZ+NP0kFXxGOiv3HooqtHKOETc9PvoZ3Z2SNAiqBvUgGUOXArd/fpqkntI1XPZHKELoROMYlp4Ia7OtJj7o52DkxHdgwF7kOM8I6iplP+ZITSXc5QEDxeo86jqIcVXD/mvqfSQazJW98bUDr/zd1+hpKUCNE2LS4hrpYeiNS3JhFuIS0ueMw4zOxXEpJPJiOqhcGWuJifud1JMiwraGnWCMoMUF9NieaJEVA+pgBdgXKeNoMVkIOk2VNPCpodK+jFFa1pSzuqh4L4gOjmXHipDA17LvFBvtunqhL2zQYIWQd2ggpVNO/igxVT/s5oWr7oupKgFLe7Va8i0hLe5liOu2OyrgSwQ4poTWKkcMDvquHoZMW6YjnKXYdcLrpLg4YLSs2RSibBzLhe0GIGjaxJTfhRTOvxJ2/P0c6Kr15RDiFuymBb9GIDw3kkmos3l1EdoWbSrbUAqmSDpIX7Sbs6kIkueVfXQlPZsZZvGnKDiNsg09WZsyXPBvydam1JOwbR6njsrQUu+VLYWHaF+JHQljjKXCzQtTEUerQZTVWouTUtUyjmvMS18esgl3q0FuWIJF/18MX686LWa9zFaIEGLoG6oyrTk4mhaqqeHOKaF21eR5o0ZgzA1wajJxNWIj060SnPBMi1BkOR2wqwXRlqIq4KWtmw6mAi4VIAaeKtVD6nSzgmtYSqApnVUgEk1AOYEpuaYIGhhmBZ1/aNSSP5nKkwLWQm7NDQ0PZQv8pO2lh5ielJtHSNMi6v3kgm7vJhjWsKAz6X7MNNDANBb4FOnTelkpK5IvdYcEUjlufSQKQ5WacNkeF9YTIu6n9Pu9JD5rBTLtVsbPLx0E/7y0npcc9c/2d+6kSBBiyA2bn92NV5e1+V8v1rQYjMtXEDi/78lQsxKB5NAyMdZZZOSVG7Qy5EVGMD7epjHMKHNnTtXn4ujS/j2X5fi4796ms2bx4HVUHCYNRAqaGtrSkcadoXVQ0qIy09iSqQ9qT0MWuggTjUA1YS4CSM9RJmzkGnx31PBrLmqDszlNKbFnkSASgrJMamG1UNEiGuwMf2FUqDfUOmxhg1aIgJ+CrvPD8e0KLO3lLtpZTFMPyoBtll5FniiEC8mcz+e54U6m4iUVZAeyiSDoNhiWkhA4mqaSNkYV3oojlljXKj7HQCWrOuO2HL0Q4IWQSzcv2QDPn3zs3j7Nxex73uehy0Vintrb5594NVE11lJJ3A52rJXfeIvaUFLBNNCzL+4QY/2JAHg9ONQg1kqmUBHNqOdi/Z9ZoPGiInnBw++irueX6v1NBoIzCqKYde0VNJj7dl0cA2iNC0B0+JKD3FMCzknzQQwqbrw8pqWlKoeYrQoZll0kmHg6GfSJCBxMi1Jty4hrB5yi0CV62kqmQiYvIYNWiymJTo9pJ4Vnmkh6SEHC0ot+oPUrbNcPul8xn0Ww/93S8Qx0bYM6t6xmBYSYLvSWoqNoeXyVsPViHTrQEGZ2adWbK1pH6MFErQIYuGpN6Jv9J58KXjIPM92+ATCiX58ZWKK9DqJmPjVw51IkNbuETb+aZJS0CdC//2smR5yDB5NqWQw+fLVQ6YQlx+wS2UvELJywU8cuEo/hwsB05JNRaaHAjF0hBC3XPbCgLYlzTJeVNOihLgub5Wo9FCBBKBAFNNSCW5IfyJL60TEullHQEKFuC6xrmKZ2ppof6LGpPDtoK1aesitXVP3eHMmFVRw2ULcii4tlQzSsuazkaOshiMdSK9bVCCllTw7qofUvjNJYkxofB9NdzpTi8VwYRAcZ43BLBXOP71cghbBTgDOtIliq5ES4lJEanAe3+qzFdygMBCmJU0cTTlvFWohn2YmjLyRHnI54uZITly563LunGavI9dqmfZHcbnrVoOtaRkZIa6uaXFfg/YIpmVHvhiscjubMyylrs4vnQz9MaxAw2UuxzRMVKkEl7mcdo+l+BRkuE11ij+bTjmrh0IWKeXcz2jBd/66FO/74WPW/afgMlEzoQKJONV/WWL86BLiZtKJQHDvYlr8Vh38M06PM+qYuOohU2eSp+mhIG3oZmOq3Tu6SV1t9wVNZz8tTItgZwDHLFBsNoIUroJIlbUq0RwvxPVfUwNHVMlzKum2WKf7zzhWWHGFuHktaPEnXy7YCDUt0eW9NOCplWkZiBB35ZZeXHfPy9jQ1V/Td3FQgVd7No1s5VpFaVraIhxxVTDblEqiOZNixYuFYHJKOr0v7Oohd++hgGlxpX5UAKSVPNspBbWvYLXsCHibI9JDVNzZFGE0Nhh4noe//nM9Vm0dXHuAnz7yOh5/bQueXbmNfV89X02OAE2hYEzIUaJXzYAtogqntfLcuZ6NJk3Twu8nSdhbM+1DzyebSbIl9XTf6WTC6f0U55jUs9LSlAqCbJemJVcsac0VTdBxZvnmXmuR2UiQoEUQC32OzsYKcZgW9eBMiEoPxXCV1Ve4bm+VgGlJuZiWCrVcpeQ5T+hlVc7MdZNVxxDVkh7QBcmujtHVYAlxIya5d3/vUXz/wVdx1Z0v1fRdHFQQ29JUJT0U+LS4dS9dlcG2s8WfdLhBPBQuJpxCXKt6iAk2aErH/7/DOC5gdhLO1ESJBECugERNoD7TEl0BQ7sQ1ztoue+fG/Dh/1uMo792f8376MuXgionl9i+YLCN1czl2iKqh7SyYNfkTxYUquonStPi2g/X7d3zbN2USnc1pdyOuFxA4g62qI2/g+GNYGMUPvjjv+PQa+7Dd+9fxor7TYsG0528kSBBiyAWBsq0bOmxe6fsMNJDnPW+euACV0rPDkjoCtdV8QOQkuckr2mhwQgAp9gvVwjz2CHTwnScjWnj312lY3SxVMbjr22OrAgaiCOu6mPz3Optzm0GCtoI0CXELRFxY1TJsxpAO5r9+4JL09EJzCnEdVQP0fssTA8p3Uvl9YhUU5ia4O/DSCEuYVFcuhc68boYm8Hi/iUbAACOhXosrNneF/zbfN4V4gqvreohbtFRtCd/2w4/fIZV1Y8lUifXwFU6TQOEFKm0Me8LdR9GVg+RVGYgxHVocSiLZLWAIKyOq3Ra4ck3tiJfKuPrf1qCu563HcnNRZZZwdZIkKBFEAt0IOC8AswghRvU1GQ9vsWtaVGDhEoPAfbDzFVt8NVDIdMSVT2UCdJD0dVDTelksDLkgo2SEXDlS2X2t9LTQ/bgceszq/G+Hz6O9//oces9BdOLwrUCoxPkvEltzv0NFDmmEaA1GZNjCoS4zHEGTEulqoxrXKmVPDuEuFb1kApIIkqeA31MhAdLLHM512SoAt5MRH+ikh201FtYbZYB14I128KgZYvDQDJo21AlaAnM5SJ8ljRDQUfJMw1m1XNnssKBWJc2RXWkdJrSSaRSJGjR3JTDrvB69RB/bplUlBDX1rTYi6VQPxPdn0i/tuuZNLDJtLiuSyNAghZBLNCVPTfxbOkpGH8z6aHKinpcJT0UpWlpIUGLSZuqySxJhbjGMXleOMDoEw+XctB9Wiwql9O0GJOA54XNGFtJ2wDuHGl6iAt+HnttMwBg8fKteOzVzdb79HNtEdUXALSSalVOWw/0a0xLtMAUIJMYI+Dszvn3TsC0MJQ6XZm6hLju3kO2EFe95zIIC7ZLuM3lNO2Cw7SME+Ja6aEBpAFqRTWmNA60oIVhUgFbw5Qv8oG7WT3EPScFLZhzVf2EAUkYtPATNGXprJJnkurTmBZmkQOo6iH/3y4bf1ry7BLiNqXitYBwFQkAdqqHaxppMS0StAjGOuigx93wahBTHVk5pmWHybSwvYfCQUiNHTmDymSZFmNfdAzMaNoXexAyS57N46LbqVy9qUWhgy5V+3O/VXcVIW5nc+ju+d9/ecV6HwgDnwmVQMSVTnhpTWgGyA1mtYIOqC5NC/2to9IFysJfaVo43UExmMCirPd1FoUTSgZMS2XkczEtXAqSBlHlcti0U7fx54OW5gytXOGDlkwqiaY0nyoYLKpV/8XBmm3hCn5LLy/6VEEFfQa4ax70HorStBTjT/4Zkh6yHHE5W31HyplWp9HX/WMO90u7PJv3jm7RzzMtQd+zVMKZHtKdfPmgDQiZSgXuWrt0Po0ICVoEsUAfBC7aV0zLHlPbAQCbdzCalpypaXEHLelkwmm5TcWULuU9HZTSGk1rBy2xhbh0gjYttslv4uoqrUDZFU6ISwOZ1zbx5nNqm8CMzDEIvbSWBC11mLgUKIPgqh5Sk3wiEbqMFsueRYOrqjJl3MfrjwjTorQEnp6qdPm0cMFPyjCXi+oYnWaCWcrMRJc8U0fcKqtuqmmpcVJ5aU0Xzvzeo3j8NZ2hq0fAGodpMdNDQHQpPPVEMRkZvYdPFQFtKhE8d2YqLE/6BbnSyUUSRNCgpawFLXTccVcP6ekh3ryQK3m2+jZpWhw309JlMC0cq2YyusNtRllPSNAiiAUazXMDqjKTmzvR101w6vRQiOuuHqKmXi6tBA1sXEJc+rfWe0greQ4HFyBCiBuDvqercL8vCdhjB8z0kD3A0Pe39haslRw1Y1OVWK5BiDIt9UgRKPQHxl/JiPRQKITOZsKhxjxWNegG1UNM8Ki7jIb7oveQ+mfSSA/xTIthQGfcipS14Uqs6T5TKfe9SnsPhakJfkVNO0HXmh66+/m1WLx8K25/do32el2YFirEdWhagk7nmbBMN6onFQ3w3R4s7vQQDfhaHNVDVNPiaskQimcTIDGLzrQU+HRynPSQ1X6AbBPH4yeqA73JtHAeOjt9emjDhg246KKLsGDBAkyfPt36TzC24Hme5gHA3fBqoAhYFGMW6C+UgoEqqnooFFMSl1GHEDdFfBA8z2yMR5gWRxrJZFpcqzCNpnVM0HQVTlfeXDCxIx+dHqIDTKnsBRb33PvVmBY60dQzaNGYFmd6KAwK1UAP2PdPwLRU0mJcGTsnxAX4QMIyl4uqHoohxA2CDWY/gM4KOnUJGbfRGJdOqNUscGtl8WBei17jnqoFa2l6yFk9FP5uQVUZUzEWaFqIds2e2EMWxVWarglxXekhuuhI8vokaqNAu3/TgIReS4B3XKbHrWtoXMGWu2+VFswORNPCpYdyZiDXuEFLuvomNi688EKsWLECH/3oRzFhwoR6H5NglKEnX2It1SlUY7iOZr7DMZ0wlWaj7PmTRZIsbdh+LkX3AKMmAvWdqaTtkUIpfnpcYa47FXwnd+xh0EKb3rlTIUrjkCuWYzAt0ekhwJ8gxpOePIqdSScTAQ3vGoToKsxMRZXLHh5cuhEHzBo/YJGuVsqb4UueQyG0T2+nkgmUyp61XaBpaU4H29PPA6T8NaVrDuikUjarhyKYliA9FEOIy3UIp88DbZhoaVpIBYhT36BpFwbHtGyrXG/zN6a+PvliWWM44sDzPKwm6aGtvXl4nhekSBRCbySfXesrlBzpIf/3o8fhDFrS1e33M6lkkGqy00PhfpzpGlJpCCC4V3VNS3jPAyFbZ8aAuj+UKyUYjmHOLs80rZXmiwQAWIsaNj2UD5+xrv5iQ1cP1RS0PPDAA3jhhRcwZ86ceh+PYBTCdFrkJmI1OKvVsjl4q5UGdZwE/IGqiQlatPSQIcTlnEjp6/6/w1V+IkFXyzbTogYEV95cSw9VSVmpFZFr5Q3oQYlZhQTYgcxWo4/Tjkq1TXtzmvxG9vd4nqflu83B7HdPrcTnfv88Zk1owcOfO976fBT6SV8Y6j9CJzJ6DQB/sO/Nl6yVd5fBtPCpvMrvm9Y1B2ZJKmCnflg2Jkgh2fvxPF1ky+mhtPRQIhHcFybjRSc61+REhaLB5FRj0LK9IpA1708asHJBy8buHF7f1IPDdp3I7ndLT16b6Aol/95S7tYKoTdSwsnA0eOjgl1TAK9V/cTQAzkbJsYwe6NmggBYDxbKLgLhvWOmh7jUjyutFTs95GCagHBhkkz4ARSXHlJMy4S2JnT1F3e+9NCkSZPQ3t5e72MRjFJsNyoForwC2h2N8fJkBZZ2TDoAWS0n3VbgOnVPlP7kuIpkJQNEpxyyle+ptpqLWgmb9vBRzqY9VczlFJOiFrFmObmig9uz6ejvyZe039cUY/7pxfUAgFVb+zBQ0MmYBqHaxEaqP9S2/ja8O2dH4NNiD9B0kHeVpNLUIsBXD4UNE1H5vz05lQwWJWRayP1VDoPwpGbjH25TLnvB380Zt9eGrt0YnBB3W59KD4Wf9zxP005xQcQFP3sC7/3BY/jby+vZ/apAu7UpFZTZcymikLFIRnb/Ds3lqD2Ae2J39X+K0zCRc8S10snkuAGwWhRaMQfA6cxM06IuTQvdxpUeoh3Co5y/VdA/rbMZgB20eZ4XMC3jq2jgGgE1BS3vf//7ce2116LMUFWCsQc1ECpwN3zItPDpiiIZXPSSQtfk7zYt48pR6ev0+9OByNZe5VrVQ86VsF3e6/LjMPUx3IDdHTM9NHtCKwC7UkO9355NR05yJkPWmy9qFRrNmZoefwC6aVqWBC303jApd9ckFpa/prTtXZ46LqbF9mlRn7UDEiuw8egExqcWOaZFBcVZJnikvwXVJTj70ER4dsSFuubUD6eP6MkA/p58YbUv2P7f+19l90uflYkVWwMuaAk7qxOmxWDWPM/T2CVXCTsV0Lomf3pcimmx3KKZkmd//zQI1ZkWrqqMOtQC7qCFVrq5q4c4IS4/7jQRbQxvzuiPB1MrQQvnU6MOcUJFT9jITEvN6aFHH30UN998M3bbbTcrr/nAAw/U49gEowSmOp274ZWmpT0IWoyVBZnAopgWulp2Vw+Vg20SFc2BX0prTzyZCBbFLnl2DEKczbrDSE29H82AuIW4/qq4ErRMbMGKLb0W07KDMi0RTpmKIctW9DVlzx/AlNtwc3pgugaK0H8kpYlsc4Uy4I+dWhsFIBzsXSZ0amDmUnn0900kEgEVrqeH/P/b1UP25GSmkCjTQul+nWkh95fBrHH6K0rTUwt5F5NHWauaNS0qPUQ+v81gSqNW2YuXb2VfpynSiW1ZrNzS5whaKteJVIyZzA4dG1RFj6kfAXQBLXdP+PsK7wuVanIxLfT5NfdFgy2AHwuoPgmIqB4iadFqQly9L5qbaXEFP0DItEzvzOIfsNNDdGGkPLJ2uqDluOOOw3HHHVfvYxGMUliaFqaaRw1EnQ5NCxWeudgRQF8tuypwisaKOp3ygxZuZW5283X1s9G3caSHUnRS4QfPrMG0VBPi5oplFEvlYODKFcvB+c2Z2IpHsNnStChzuvbmtPM3AshgNq4Zyzf73X378qUgaMmSyg1OVBkF2o8pUan0yhXL2gRFvS8Amu5zdeFVAYBOhVN3Y/VeKplAueRpDEk5KFNG5f8RmhajeiiaaXFXD6WNoCVHroO6JomEz+I5V9ScpXvZs0Tq1VAslQMWj7IbZtDCVfNQrO/qD1INClQ7MqlNMS22V4sqU9eqhxypYkCVgieQR3QVjrMDO0mzhCXPpo1/+Gw608kGc8YzLSHzAYT3kCXE5bQ4DkuGTMptHEc1LU3MPaigFpWu9JBKDbZkUsGzv9MFLddcc029j0MwimGt1Cx6P3xIaHqIToTUcEmVFJbKnp0PJgEJR7kDuqYF8Fd1/SizK6dMELRUL3l2GliRQY86n9LzCyceNUG7GRCTXenJlzCuxd8vXRXNqqSHTE+MnhynabFXYCrYnNjWhLXb+5EvltGTLwYuujQ9tCNXDISwcWCKEsOgxZ60A02Li2kp6tuZaTp6bkrwmkomUCjp90/Z0LRw9L2ZHgq3CY+Hsi6pBO8FFNyn6nozQlw7sHEExUxvHMBPr2WT8dmwLi0YDp/JaosOz/OC5xEA/udvy/Dv79hHE+tq6aE2t+t1kVxzl38PHT9oWwZX92tNQBvRnVldS6sDOrm/6IKpoDFniu2LYFqM9FC1tFZUXyGu91C+yJ9bNuL8gfC6q6DFZJoUs9tWRQPXKKg9qS3YaUD71wB20EIHCSXENYVu9EEG+L4wAC/EdVXqKO8GznjJLayzJ1X1PS4hbs5BL+eZVbWZHmKZFjNo0YS54apItUSwqoeIcDWqwV7YiDATUudkFZZAOICbE1s1UHM5AKwrbki5K92Hyzk3OpVHB9jA2CsiIDHTQ5zzcmjj7/+/HMG0cC0g4gQkZp+jqq6uxv01UF3LNnKf0Htzu6FJM/s/5Ypl7Xf8xePL8flbn9ePkTwrKmjhmiaGAniqaeGZNaVJq5aW1dIsLnM5kh6iTEuZpJ2aKqwgZ1RXNBZCXCm8VfJceXzoveN5nqblcprLkb5VzvQQKXl2CZEBm2kxNS29QdCSYhnBaiiUyvifvy3F0yv41OFwo+ag5dZbb8Xhhx+OcePGYdy4cTj88MNx66231vPYBEOMrv4C/uvPS7BsQ3fkdkqkp+B6uChF62/HrGTMnLGzc251IW5QnshqIMwcde1CXBq0UNGp5iNiBGXO1FapHAR5atDrYXoRtWXTgdutqR2gQlyXbwwQBiLjWjJhXxYyoPWT1bjJplUDx7T4r5P0kMrtJxPaNnbq0JWm87T36TYcfW9WD7mEkgBpmMjsRzEtyQSMcnk7KFbfwV0HU6yrfgerISdT/grwgWgUtpHAMyo9ZP7+dJK79MT5AIA3NvfonyETdhC0sNVDYaDqTA+RdKvaFogyl4vnLKtSH5RpoOdqtuvg2jukjYVQidHAqfNi78GyBxXDaMftaNCopb6c6aHQp4ZnWpSmpTk4ZxrcqIVQa1M6cjHlwr0vrMMNf34FZ/zvo7E/M5SoKWj5wQ9+gLPPPhtvetOb8K1vfQvf/va38aY3vQlnn302fvCDH9T7GAUDxKYdOXz4Z086yxcVbntmNb7zt2X45n1LndvkiiW8st4Pavae3gHAzbRQAy1AHzCCHG7SZFocLAoR4rpKnlPGKpcTSmaMkmc6CJldnt2dZB1Mi1beqwdArsGBlp5Obs/6r5FJQ1G57dkUJjmqNAJNSzYT6esRMC0tadbinE5sptg6CsVSmIrLGudrenkAtHrIsfI2UmsmI0G1IQFrERFshB2cYW2jEGhaIpoqhsLgOEyLzXgVSfBDz8tiIcm9QyviBlqWSq0J6HXY1hetaVEOsk3pJN40e7z1eaCW9FDCmQ40K+24a1kqh145OtPgZqmC3kOFsLN0Xgt49XuHrR5KmfeF/V2ZCLaPBlXKVNF/PdyR53na9wUVY0Z6iO0QzmpaVHooG7zWT37zgGlpSjnZ6yjQascN3f0RWw4Pagpavv71r+PnP/85vv/97+P888/Heeedh+9///v4v//7P3z961+v9zEKBogv3/Ei/vryBnzoZ4sjt1td8edYuaXXuc0r63agWPYwvjWDXSf7fYXsTrZhqoAK3bjyzyh1Pv07mYQzJ24yLZxhlFluywpxrcEzWiipyjODSYXRbzQZTIu5r+5cWNGj2hlUY1q2mkxLv033coOQynWPa8mgNfCwCL9LY1oGELTQ6xGIeplVtauiytmjyJEeUpeV+rNwAlpX9RCHlLFN2bMDEpVC4pgAl6aFmvyVCevgn1/0s5E1thuoWJJaE9DPmkGv+fz2Eg8WdR1dPkuZFBXiMkwLEdy7fHnM+4JL45m6F06IS0unLZZKBbxkPyGz4w42zPtCF1/rwbXahhYPmUESN+5oGi0S2Li6PGcz0UGbYpamdGQDbyeaIguYlmxtTEtLU/i7Pv7aFta8bjhRU9CyfPlyvP3tb7deP+WUU7BixYpBH5RgcHh5XXS6R2Fdlx81r97mjp5fWLMdALDfLuOcNzxlWhIJ2ofF1jeEAxVPCatJyB/0eHq5VNmvmpw4/wtTT8FR/NaKz1WhYLIozPkFA3HaEGYa+1JBSUdzGm0V/c8OxmyuLZsOVrTdOd3Bku4jyvZ9O9G0VGNaBqJpoddDnSfHopjXnLue5sQD2Gk62tVbgRNBWtVDEUFLcgBiXU4PZaV+uHveYgTppGqnHTJpfbuBiiW3aUxLeB3Wbdefb7svkf93W1M6FjsSlR6i1gYuDRNNNQGUybIDOUDv4VNwsBrU4wYIfzuzAMA/NntBYTpah6aD9NxMJs8OnOkYlElSbx47taiOy50eqlToRVRPdRML/47mTOBV058n6SHCtLhStFGgY8+nfv0MDvzPv2gtHYYbNQUtc+fOxZ///Gfr9XvvvVes/UcB4lL96ytBy6YdOWf0/MJqP2hZOHOcUz/RT4zGAH6lSGlj+n8X05JKhiJPW8hXEdZZKzXm+yJSSJaWwmVgZZQzc4yBmad30bA0KFGiZY1pUSLbbBqdzZlgAqar6B1aesg9CHVRTQsXtNSoaaEaJvXbc6wYFRvq24TfWzImHsAOHgOmhQYtTLBhVw+5z8FqmEiZFk+fnDiPDMsBmbneruDH3JfZA6tWgzl6Dcte+PuZQYtt8V8Rf5P0gRnY0Pt7UpufhuCClmDyT7nTu7QqCOCZloKDsSgywZ7aF8dkmdcJ4AX3gTjYYFGiytwDIS5z3KlkAskkb0xIr2s6mayeHsrwQRsQsqnt2TRSyQRpGskwLTVqWszr11coBfPCSKCmkufLL78c5557Lh544AEcdthhAIC///3v+OlPf4pvfvOb9Tw+QQXbevP404vrcMp+MwIvFBfMBloubOgKfRbWbe/HvEr6h0IJ8vac1o7Flf26Hi5lVpZJJ4F8SWcijJWpq7KD+mi4mJaCQdNy1Cn1i6DbcD4tVUueDaaFS8mYbIGrgR614G9hhIM0PZSsDEI9+ZImlgzM5ZrTkakEKsRtq6SHekmAVCvTopg1ak7HTVAW05KxfzdtACcl7EB4b5gCW8AtgqTv0e1NqEU5x9iYminuXjUnMI5Zc+0H0FOZrvtroEyLeQ1zRd//RzGqUzqy2Nids+4VlTJsbUoFCwUrPUSZlorWqq/g35e6+F4FqhHpIVPDxHRepkGSMpAEogObVDKBRMJP16j7quzp4w5QjWlxB7Mh06KPYZRpCc/fYOmYxZI6blf1EBX+Bto189qRgDP4f48urg4tElKRzKwLnK/PDqOz9HCipqDlkksuwdSpU/G1r30NP//5zwEACxYswK9+9SucccYZdT1AgY+fPPw6vvO3Zdjck8fHjt0jclvTp4CD53nBYAYAa7b3sUHLjkqU3tmcIUyLPgiZ5a+c74B62GxNi5H6IcGNe9DjtQIs0xJV8mywI1V7D6X0ShktKAsofp2NMQd/GpRw26hVkUodtTSl0ZMvaQwJrR4C/N+Cs2YP0kMtJD1U4JkWsyw2CgFtTXxe2N/EYNe4INRMAwC2yZ8ZjAAOIa7JtMTQtHA+LWZJvTourleNJQYnpnBmOkGlTv3qDre2Sk1QAxXibjNK43PFMlqbvIBpmTuxFRu7c9a9Qsvs1T0exY60NaXQlE4iXyxjc08Os5paw9+FmAA62zZYiwV3QBK1MDEF2olEApmk//sGTIshhta+T7tX+YCEFV+n9PuLs3awK6PsYD6tjtnRxFGzWnCk081+SFELIWpGOZAuz+o79ttlHLr7C3hjc69l2zCcqCloAYAzzjhDApRhxNrKwEPZEQ60t0wUduSK2kS4xqFroemMan131CDFalrKeoDADQqALoJUIk8zCDP3FVYDMJoWQ0+gr3gqA0xcc7mMEZAwg54txOXTQx1ZXo9Cq4cAsGkdqmlR14JbDSnGjaaH6Aqsv1ZNi2FnDvDnG1YPGWm1At1GX3XSfRWt1fLAmJZkBNMSpoegfQfdj8nGcCxKKAYPA7h8qYzmZMraxt8ugXwpOrhzee9s7cljfGvG6VxsiqnzxTK29OSD+3T2xFYsXr7VpvvzYaDs0rRQHUoikcDE1ias6+rHlp58YIII6IxqsC+HpsV8frnKvkzAPkUvOtRvkjF+X7OiDLCZPPrdgcg2cLt1pwTVNnTINY+bG5vMvmhcCwhAd512uXWb3jHcc15toVQNatuD5oxHf6GMNzb3alqa4UZNmhbB8EPdJN1VaDlV/qZQLvNBzHoj+FnjEFZR91VXRYzNtNgPmMs3xd3lOeHsXRJUIkWYdtFus/R7OQGkqaWwVjyqJDRCr2JWD7kGh26S2uG2oQMMEK6cqOYorB5KRwrrqgpxa9S0mBomgE+ZmTom1suFrMwThvZDXQe1Dcu0MNVDXDrGRBwhbuivwjEtpsg2YX3eTA9p58YwBoFminnO7ntpPQ68+i/47v3LnOdk2fUXS8FiZ3J7NtBQmQGJqjRpIULNUtlj9SPq2Fxlz9SPacDVQxr7ZDAWTGWfuVAAwmDBZFpSWnrIPT5FpwT1cYdLLZrpIY6lM8/ftcDhSp7NBZW5YOS8aqhOjltwVQNlfJTjeXcjMC2HHHIIAGDx4sXBv11YvDi61FYwcKjJbkcuenJZ26UHH/3FUlDuqvDw0k349ZMrtNdcQUvQkj6bcgrrwhVBhWlhHoxwMNMHKldPjnQyEWgmLKZFTXRm9QFDwWYcOgmAoeUdXXhN7QtH35sVIK7cMU3/qJUaLZPt0VI/sIKNQqkcfG9bUyr4XW2X01Lwu/nmcmltP8AgmBZjoAT4Em+zEWKcsmjADkLNtA/ABxueWT0UqWkxJh5GiBu65tqBhhnYcP20uKAl7C3EBQT680PvnUt/8ywA4IY/v4JPHD+fPSdO06JSQzPGNTsDaZUybM2Ezzjg399mOa56P/AQ2mEGLaGOqaq5nGn2VrYDOTNlyAZS5JjN+9Bkzfx92c95mPox9CoRgSpXPWSW73MBktXM1eGmTL2QOG8ZAFq3dcAeLwDexr8WIW42nQrOp9rieSgRO2g588wz2X8Lhgdh0OL//7v3L8OfX1qPX374MK1nzFqjUqA3bwctH/zJ3639cyVsnucFNz9lWlzpIVPTwjrGGhUZLk1LMuFmWoKJLoppMSZMc/CgpbZmbj3KERfgmRbLkyQY7PV9qaCzI5sOBiVd08IzLWrlpFnap90Tg0ojZlIJtDenCW3M96cZWPWQzgyoYzGPz7Tn59KLJmumjhkIJ3Zu8mcFtF547/j/d5+DVT0UxbQw96plcEhW8uo9rlSbWzG7Sp5pUBxHQ2BqWvLFcqBbmz6u2cl89AbVJXbH7opVkBUguMqeC+Scq/UeUu9z6beC+WxGCHFpwJsx9sUJcTntWjEGi2JVD6nUIg1sTC1OxHFbxoTMPaF+g9BczsW06OkhysxS8X/WMYZHgepmWpVNQyMELVdccUXw7+nTp+P8889nt/vZz3422GMSMFDpIXWzfP1PSwAAv1u8Ch86atdgO7O8sTdXAtrDv83V2PTOZqzr6meZFtqTJKrZVpgeqlQPMTn5sOLHTQkDeg4662BaqpmR+f/W01Hm99FBxHTNdQtx3akfy103hhCXsicKQWVOxsxRF7VzB3SxcrHsNw9U57lsg98varfJ7X4pZGU/PQ6mZSCOuP0k167ANYi00kNMEGpOTuq86LmaJcj+NrbmIKpax4TJxrDamMo2cUWZqnKlaE2YuqaFnjfAGRPyq+oolMte8Gy3NqXQmy8hVyzFY1qCCpS07+JaERFzvbUUGxQELb0upoUsOhy9h0zTQW2RY6VumWAv0I+QoNCRHiIxC7s4CX2d3EGLVT3EMC0WQ8T5tDhaftDrTZ+RbNrt0+JMD7HVQ9Hpoe29Bdzy9Cr865tmBm7d9Dua0kl0VIKWhtO0XHDBBTW9J6gdKlruzhU1sa2pWDGZlh6jTbvpfjtjvN+vYhPT/Iyu7ih17Bbimjl5+0E1GxhGdnmuwrSYepUit+IxKkDM1TtAvRnsgZEyMur8uEEmjgEdEFZjtTuoWnNy4NJDCnRiMPeztNJPao9pfsTaltUHM8/ztN+1O1dk7e45hMyanR7ixMnq+oQeIGSboj6AA7bZGMe0JJlAomwENwNJD3HBj2UcxwTFUQJPTosTtap2lTzHcSDtzhUD2/upHf6EkyuUg/FgWmezM72rSp7bmvT0FBXQmsc4ydE0kfbwcVYPGfviGKCcEZBwCxNzMQHYlYvBIojcC3wvKcUEGwFJJNNis3TWOMc64hpsDBm/1NiufqNkAlo7AJsF1hcQUcJ9qqMzRd7lsofT/+dhXP3Hl/C/979qfEc4/gWalhFkWmoKWlxYs2YNJkyYUM9dCuBPMF2EaaFi2zbikQAAG7rs9BDFqq160KJ6jXT3FyzRrorQW5tSSCYT7GoaYJgWRvNhrrqrd3mmXWL177MpWH87rvTQLLE29QZAtPOpP5D4/zYHWT3YMFZPLqalch3bm9Ps72kyD2Z6yBSuanQ+GfSXrveZlj2m+EFLe9ZPIaoVUrEc9nYJji2muM4cKOn50goIS9PCdII2GTjADkJN5sPfpzvYiJMeUqLfgXSL1rex01omI8NWDxkBmZamNFKL6rd8fZPevJB1P66k91oyqSBdnCuVAwPJ6Z3NTov+XsPrIxR3k8aDRqAxwSHEpf5IzvSQcb5clWDo5aIzLfzkbwctUalF1izQwdJpbrfmNkGFETn/4Nz01A8/NimmODx+M2WsrpmrAWtQyVf5DVnhPmF3Xfv5xePLsaKyoP3zS+uc39HebLt4DzcGVPJ8+OGHs/8GgHK5jFdffRUnnnhifY5MECBXLAc3+o5cUWtaZU76Zvqn12Ja/DTQfruMw/F7T8UFR87DjY+8gbLnszJUH2N6hrioxdDGX18pcpN62ITOfpjp36lkIhzMLKZFDxCihJImBVs0Ug5ASB1H6Q3o+fMlz/oAmg1YBf3YewjTsi0izaQCMrOE0dbq+P2QSmVPmxyWVtJD8ytMi+pzpO4PbvW+sTuHJeu6cfDcCZGplX5joKTnzbFrUStq02hMnRPdF1e2qgITvboD2nbRvYcq+wkmp/A9u5w5vL88z0MiYXuwBNsVyITJpLVMbUKJCYoDL43KCalUn8LW3jymdjRrrynH5PGtGS3YV0Hq+NZMILh13ZNK+6aOoz+CaVFCcdrLCtD9kVwamjAFqlIa6vto2rBy7xjMLOdiqwtx9YUAX8GlM2L6cccIVCO2MQMSsxKOnoN5f/nH4SGTomkm/73Q9M8U3Otjb4vRzd3zPM1moRtF7XMKdz23Nvi3mY6nQaaaHxpCiAsAp512GgDf/Vb9WyGTyWDevHl417veVb+jEwDQHW578yXNFM4MSsybiXYVBoCVFablqPmT8ZmT9gSAwChqe19BD1ryYS4UCFMWNt2rFOyGpqXEDAppN9PieeHqP5VwMy2W/T7XwdkxMJgTofouuo2iaROJBNtwjQ3KTMo7Ywc2AO3QzK96TMq72QhazMEM8Aes3nwp+KzneXhVBS1T/c7c41v866q8POg1nNTWhM09efznH1/CQ69sxH+fdQDedeAsuBA0yGQ0LVoA5rDx51JInJjSDDBpuoebMBS1HstczvRpiWBaqIiz7AGphJ1CoucZXT2kMy30twir03QK/9WNRtDSU7CDlt7Qk4emVRVD15JJsQwhoDviAtEmgCoY57QT/nmFAR/HrKnj8r9HBbPc94WdpwGeHYmTHuLuHU4f4nS7ZVI/oVkgtO8AIlI/DENknpt/HGUAKTKe6NfEDCgsc7mgMWop+L86hbZsOviNrfYiZB7ZtCOH7b0FjKssdGiFUvso0LQMKGj5whe+AACYPHkyLrnkkiE5IIENMxChdLEZlJgW/uZKSGla5kwMDaE6mzPYtCPnp51Idi+kFVUw4koP6Ssn3lxOzxlzhlJayoYyLQ4hnyv1A3AaGn11ZX4XPTa1XSaV0PZp9Znh0jqG+6s5yKjqIVf5YTCJqxy1KlU20kN0ddlUCVrUALa+K4fuXBGpZALzJvvXeRxhWsplTxPTdrZksLknj3+s3AYAeG2jno4wEdLF9mQRpWPiGuhFlTwrNsIUVQPRPYPUZBKlaUkEKaQIwWVCHU+4n0KpjFQyxXvHGExdOMkx51ayJw9XCayZHuJ6/qhgdHxrRqtuU5NXc0SzPLUqbzXTQ0xQrhYdYdrSWFCQdJ8rPZRzMC1UsGtqnfiyaCbgNX477t7hUk1FY0yJUz3EVZ7Z/czUPWE/42kmKFb3jD2eOH5LS4jrb6euuxrDEwn/+vbkwntALcwAe4xdtrEbB8+daH1HJ0kP0c8PJ2rStEjAMrwwgxY6qbiYFqXuN4MalbecTVwsx7X4N6IZ8ATltwZtbAtx9WifLX91DAoave/pAYLrQVWfCd117bSOq0FjIO4kE1zCYFro8dLVstouqnrI7LPjouI7mtPsRB9MDim1cqoMQo70EBD+7ipAUumEuRNbg8FsXIVp8Tyf7eHEdSp1tLU32tK/P7je1YS4+sDLNppkmCO7YaLOoADRFT2m5oBDlHbBLJPlypkj9SpGeojbRk1c1Io+bQTF6vczn38uaNleuWbjW5o05kLdE5RpMZmPXkd6iN67ppdMC1NaC+hVOK70kDlecIsTV0WVNvkHgZRb08LdO5HVhhE6Jlf1EOeaa/m0RCyoVM8kfzs9mG0yfiPrtzQWEObYFPQpa0r7GrjK+56nj73qPlFBCU1J0rFCaVrKnq2XHC7UbOO/atUq3H333VixYgWKRf2huu666wZ9YC6sX78eN910E9avX4/99tsPZ511FtLp6NOI85la9jtcMKk4jWkxbhy17bTOZmzpyWv0red5WLXV17TMntgSvN5ZmdDMslfTM8TVudhkWrhmgS4XSG4lA+hMS66orwrU96fNgISueAz63lxdBZ2DNdo4HPzUdlFeG3rZqj5YNTOsAkAGEYebrUkvB3SvmR4iZZ4mva7uAWUAprZpyaTQVyhhe2+BuNqmAspXYWsVz5acUZYNuAJVk2mxJzFzkAdgmfxxvYe4CcOqHopR8hzsh5mcTHM5ekxOTQt5zxQG0/MsmpNTilrRq/vC07ZRMMuMgTA9NL41E0wmuWIZ/flQJO/SpKmOwKYQlwaXZr+gFiY95HkemfyTqGi/rUWHOV5w35c3ApLIhqdMekgxNWzfqsiSZz0giWqSGVQPeQjTydZiyR7nTHsEAEHPJLWdWTrtCjitBaMxNrl0iYD/G6v9q/Fgv1nj8MiyzVrQonQ0TekkWjKpQEPX3V8M9jucqIlp+dvf/oa9994bP/zhD/GVr3wFDz/8MH7wgx/g+uuvx8MPP1zvYwywdOlS7Lfffrj33nuRyWTwpS99CW9/+9tRKrkjvjifqWW/w4mo9JCZU1atyqd3+mWPj766Cb9/ahUABM3Skglg5ngStDTrIk0F1w3vrh7SAxJaSWI61EatlAHV5Tm8PbXuwYbINlwV0dSEK4VU1v7P6Q2AcNBUu6SrZZ4+13PwauVDRcS5Yil0s6VtEZiKGzX4tAat5s3qIZtpUceTZ9gYIBTjbuvLa4aAimlRME3KTHCOuJz1vCk4bGb62vDpIbU6rVwDxhE3qvNyLHM5Y+LRmBYz4KVBS1CVUrbeSxvBlrl698/TYFoidBlmCkmxZVsj0kPjiBCXpod8poUPpPuM9BBbiu9Y+VO7eM37iDAt+cqiQ8FsuMkxLZY2hBW9qmOyf1/1DPD9nxhm1qGB04NZfcyg96PazHT+5pxsTdaZ7rNo3hfGeGKzVvqzaF677lxYrQjo9xk9JnUd991lHAA305JIJIJFTjV39qFCTWHSlVdeia9//ev46Ec/ikQigYcffhg9PT244IILMH369HofY4DPfe5z2HvvvXHPPfcgmUzioosuwh577IGbbroJ55xzTs2fqWW/wwmTaVlBvFZ6SOlZrhiKMad1+kK9+5dsxP1LNmLe5LZgEJncntUmCTUYdlkiXr15X3WfFlOISx5Ux0Sgdeklu00nE0gmwkkxVywHg5trQCsyKydnEz7FtJDBjHbhDXPidnATqUWJWBnRVF07aZiYY9iJYEWraHgjPURTFiadbxplKYxryWDt9n5s6y0E72XTKU18DfhCzyjkGHM5xfxwmpbwN7FLbrn0UJgKcLManJ7AvKZxeg9FMy1hYJNM+BNT4MEScUxWaoLRU4TaBV6jBITpD3V/zBjXjO19BV7TopiWlqbgue3JFYPjbIliWixNCyOMVUF5Sr8vtaCFGh+mkkglaaBStkqbFRuZNV73f5dwovT3Z6d0zFQq/XeQ3uWEuDHSQ3x1Gr+Nei+VTDBVT1yApI+FwfkVwuO2xxOXqFn/ncwFjLnwVKkozwu38bxQ43bArPEAgBfXdAXskTm+dzSnsb2vYM0Xw4WamJYXX3wRH/zgBwEAqVQK/f39aGtrwze+8Q389re/resBKhQKBdx99914//vfj2TlYs+ZMwfHHnssbrvttpo/U8t+hxtR5WU0r0i3UwZTCiu29AQD24TWJu29TqVpMZiWHXld0+Kq8TeZFo6RiePTQgeRVNJv2a7mhBxTDhkyLYpyj0oP6ZNqiVm9c8fOrdRM+p5ur1Z93OpRpYYUxWpWiQCcpkUxLcXKd3LpIZ3BKJbtwRwIg9PtfYW6MC2suRwbkJjpoSpMiyFejGvjXzYmqEhzOcPGn2damGAjhqalZAY2TOWKyaJoQYtjG7UQYTUtpORZ6U4oc9rclAyDZHJPlsseCVr8+4BL45ktL1R6KF8MUxq0rDedTGhMHL3mZsNN9vtMnxamYSKXHmoygkLTudj/N8MKOnydNL2KcR9SIlNt56paLDIssM4Q6Wkkm9mynx3A7j1kjtG0bQgAzdspqCQqlQOm6JCK3cGG7lxgTOgqdx8pK/+agpaenh50dPillNOmTcPrr78OAGhubkZXV1f9jo5gxYoVyOVy2H333bXXd999dyxdurTmz9SyXwDI5XLo6urS/hsqREW0tFSN9phoNyaiYskLBJYqTaCg0kMuIW6r6dNimkVZTItb02I6RWrVQ4Y4NpFIsKs+U4wa9oahg5CRW3ZUD5m6h+DYgwBAF9+5fgdzkOUmaOpMCdhVSNRoLAhaDN8FPj2kMxgFg2VSCNNDhVDAxzEtVTQtfUaQSo8n0iU4HQ7M6vqYzS8BW7xoalXovzkht9osKmgJtgkYm/C9gGlJ2AFJcNzMfWGWt0alkIKApJKC5tiCUNPibzO9ErRs7c1bRpAh0xKWPKugJZHw7zWuDJ+mL+Okh0znVSAMQiibkEklKwaI/t+a261V8WIzLZZZIyvEte8dc9LmdEVc80WT/Uhy95cRANH7MQhajGMyPX7ouVGmxfSaMtPEwTNOdC9A9fTQjoBpIalcg3Gjv/v41ibsM8Of259Zsa3yHTqz2jnCXi01BS0UJ598Mj7+8Y/jl7/8Jc4//3wcdthh9TguC729fkpEBUsKnZ2dwXu1fKaW/QLAtddei3HjxgX/zZ49ewBnMzBE1cT35krWdh3NaatJ4paefLCCtoKWlmhNS5Aeism0cKtulyFcFP1K99mv0dD6SoVvuGYI64wJhZsItWOPYFq438Fc9dFgSw1WO4wOzk1GSoX+FoGmZUDpIRUI6AGiwvgWn2Hb3psPvVYyyaBiQKGvUIq0jg/FxOF9xGlarLw8s/JmRYnBalldA/91zaeFE+Ka1UMRo1vgdsvsJ6rqx2JaUnZAEm4D7Xi0cwtW1HZ6yOyfo+6taeP8oGXR0k045ob7tWvEaVrUay2ZlL7CJpMULYltybjTQ2Yai6YGQ7fmcrAvVW3HpUnN8UL5/dAAyvYyqfwmVQStFqPKCaZZiwSDIWHSj2YJu5ke8vepnk99sQRwuhd3ysp+dsL90HHVJcQNmBbmWTVTSOp6KHZbuaQ/u3Jrpd1HJTCqXK/2wMp/ZDQtNQUtN954Y/Dvr33ta5g0aRKuuOIK9Pf340c/+lHdDo5CBRXbtm3TXt+6dasVcAzkM7XsF/B1Pdu3bw/+W7lyZdxTGTCiIlqOaeloTmuRNeDbbW91pIcCTUsfr2mxhbj6Kq/fSBewnh1BykINCjodSv9NB4OoATRKH2MK64Lur4a9t7kaN8+R7THDpHWCYMKgc+mxK6rWNOvLGxO4vx//+4JeIkaXZz49VNKOOWMEZNSrRWdabGlbVNfnboMxAqLTQ2ajSf9Y9QmZt7p3MxaRTAujOTARGtBVPkv3UzkmvTJITzuYRmP6cat7zN6Py1wujhB39oRQPL9yS5+mbaOaFvU7bydBC0DaKJD7TD3zHdl08LuFjQ4Z1qxybIlEwqogCrp6a+X4IUOgYLIDnAmdnR6yn3EzZUW3t7s8c8ElYXmDIDQG08JoptSurIaJjI2C6VlFv9cshQ+ajWrPDsda6c9YqGnRdYmAXQUaBJEVoe2BsycA8JkWnyFC5TtCTQswclb+NQUttMPz5MmT8bvf/Q6rVq3Cfffdh/nz59fr2DTMmTMH7e3tePnll7XXX375ZSxYsKDmz9SyXwDIZrPo7OzU/hsqKK1JBykvm1lZdfXlOaYlg5aMPhFt2pEj6SFD0+JKD1mOuGGgoVGUhjAzywQ3ZqDBWe9z4liOabEHBn31CnB+Cf7/Pc9fPYUrMO2UrQeam3iyxmoGCGlhk2kBaNCimCu+GotWEQWl0+bEwKWHjEHfZJkUVHC6rbdAvFaSVnoIiPZqMYMv/3hstitcLYaDvJl+i6L4wwDTfz3JBC26k23lvRiaFpNpKWlMi/4dAOPBwqV+jJLnqLJoq3oowl1Y/f+A2eNxxSl7B9t1kZYMikWd0JYJ7j31vmn6mC+WsWZbH2740xIsXe831lRsq7ZdRO8hwPZq4RiEQTMtTPVQkGYp6hM7PT5TxM074pLxyXjOoxZCXEPOkis9FNFXiC48zO8zHXFV921AT+eYvYfs9JC9wDDTQ0GFWeV6HjhnPADg+dXbNR8wdS3Vc99QQtyRQDKZxLvf/W787Gc/Q3+/LxB67rnn8Mgjj+C9731vsN1vfvMbXH/99bE/E3e/w42tPXlc+YfncNszq/GXf64HAEwfF1p3H7PXFAA606Juok6OadmRD5qqTbDSQw4hrmE6lXFQlC6mhWuYaArdtDJlLkBgmBa7YaJ7FcaueMpltowWsAMJaktubsOyCukwBx+IiCuDsaJqFXOljt9kHej3qd8+VxE8RpnLqc+b1VUKnKalOcMzLZFBC7nPFKL6MSlGyT9W3SQriuI3bfy5kmeaqbTTQ1GaFn0bvQopikWJCEiMFTwr6DU0Ldz5m/c81ZNccszu2H/WOAAhk/L0iq0olj1M7chWGiNW0kOVa6iCA+pg/NOHX8f/3L8M331gGYBw4UK3U/eI1tSRBi1G2bPp9KrtiwQk/YTl84+PYVocCxP6Pdz9Zerp2GvJpDJLpiVDnC7P5PZypYf0vkJlbRureohswz3DbDfsaukhgy0H7Oo083rMm9RW2XcZG7pz4ecq+57W2YxZE1o0XdNwInbJ8yGHHBJ7p4sXL67pYKrhuuuuwzHHHINDDz0UBx54IO6++2588IMfxL/+678G2/zlL3/B448/js997nOxPxNnm+HG31/fgl8/sRK/fiJMO82e2Bo0wjt6/hT8+omV6C+Ug3K7MD2UsTQtm3tywUPmFOI6zeX0lRrgPxQtlR4Z6oFtNkueuZx4hKaF05lwg567YSKTrjGEuIA/8QSTjjGxm2mOqKZ3OtOiD7JKRNxXKAWDsbmiMYMfOjEoo7EWUqHTVyix3hRNxmq2yAQ2ANG09BFzOQfT4koPeZ4XCr6Z9FCUEDf4d45oWsr24Ey1IZ7nsRMP581jVQ9FBi3Qtonq5gtQNk8xLUxA4ijVTjIBr7nqpr9R1mAXzYBhnKFBe3TZZgDAW3afpLmeBumhyv3WTNi/1dt8k8lXN/ieT2rhAthMItcfCSCW8UokzlStcYsOqqei58s943QRoFAsl9GEpIOxMBYdkZoW8vwaQlylW4m6LxKJsBResT+2jX/C+rxpx6Adt3FfZLX7IoWefMn4LeOlhzqy9rOq0oR9RpfvZDKB1qYUevOloFKtKZUM7uNPnTAfnzphaDIqcRA7aDnzzDOH8jhiYfr06Xj22Wdxzz33YP369bj44otx1FFHadu8733vw7HHHjugz8TZZrgxb3IrLnrrrnji9S3IFcs4aO4EjG/J4G8vbwAAHLH7pGDb3nwRjyzbjPte8hmZjua0drMDwJYd+eDBMNND1X1aQmZA1fjnCiWgxe9ZpN5TK3YuVeDqF6SvZPz/0xW1Gmg5D4dgX0a5IGBXpZidVDl7b3rsphC3mk8L28gwk/SDFgerYLpXqsCHBofNmWTwm/flS3x6yFiBBQMw49MCANt7acnzwJiWXLEcDL7t3OotQoirHatKZRXt86G/IU1Fcl2eS4yAVm0Wy8Y/8GkJ3+NYODfTkrS3iVEWHVXyTCf6ctmzAn5zkfHIq5sAAG/ZY3Ll88nKefj7ayGpA9UcdU2lnFUF0h0a06IzH1zTUMD2auH8gVh3XbP3EPOMq4ops+QZcFfYqHMEYDnismJoxtgyrAyqvM5tY1T9lEtemB4yUrOJRALppN/DLDCO48r8jWpK7tyajWcHcFcPFQymhS5izfGr3wgi1fa9+VJgZNhkzCcjidhByxVXXDGUxxEbLS0tOOOMM5zvn3jiiQP+TNxthhN7T+/E50/VNTV3/GNN8O9xLZnATnn55l5c8sungvc6mjOWvfKmnnxw49k+Lf6AtSNXRLFUDh44U4ibSCTQkU2jq7+Irv4ipnYC6ysdp6d2NAeRODeBmSWFnLcKmx5iV2H6A81VA7i2AfzVvavk2UoPMQGA+dBr9Lk2yKQAFILB2FUCXPZ8doSjhJXgsTdfqgQtXHpIX80WmWMBTEdcyrTYw8Dnb30Bz63cjv/39r0wuT30/FEsSyIR+vf4x2yza6b1u/o+/1j1QC6tDeC6DiCqAiQqPRRBtARMVlQ3X876PTogSbLbcA0T1XcozQBl1KiOi2M5wmq/Irr7C3hu1XYAPtMCwFqwUD+djmwam4t5rNvep22jpYeMa+QMWgwvoqjUpdK9lcvhsxLVe8g2adMDWW0bTQ9VCQpNN2VWV8QshILUYnWmBVDBs0eOyX6GU5WgxUo5a95E6pj893JMYBOY8NH0kOHTQqv4ymXPcjum2wRBi2JayH3Slk1h046wZYR5T40kBn0kGzdurMdxCGLgHftOx1fftR/uu+xoJBKJ4EY0W9d3NKex6+Q2XPUvC/Gt970JgH+Dqr5DpqaFTloqMi+XveDflFoM+hRVRLvru3ymZVpnOLFFaVrMlu10JcMJcc1uyaWyF6wgacMx+h30u9VgoFY8/nae01zOSg8xnXpNJskXB/rvcTS/OfgrcaHZ64hbgQG6doAzpjKDqAKz4gUMIS4R8NEJi17r3yxeiVO+tUgrhVdi7/amtDapmwyV53msUNL2lNF/E8AIMEtl1tWUSw9Z1UMRUYv6uijGRq9WcgUkZJvgnjZTE+H3BlVslW1UVRidVGgQygUtND30yvodKJU9zBjXjFmVJqhUBA4YQUvlWadaBUBPD5n6JPos0d/UtPJXvwl3vVVATRkXs/dQkfj3mCXPypUYCJ/zXNF+XjJk0lb7BAyDP2bBZLIoAdMS4dMChPePug3ZXlpGoYCpe/H3qQezcVhK+huY6SHAv26qN10rea7VonVtJXANmRYStFQWJIppafigpb+/H5deeik6OzsxderU4PULLrgAL730Ut0OTqAjnUri/W+egz2m+qXY6sZasVn3k1ECyfPeMg//+qZd0FYZENVDM84IWjKpZDBoKi3Dtr5CEBxMaAuZGTOfvqHbZ1qUW6faH8D7ppi5Xq5klWVajNWcv6+E9n+OaWFNy0plNkAC7JQN1z/GFr6G38umbQr8QGw2L+NSPwBxxc0XLdMt7XuKurbA1LSo654rloPr15xJIpsOKxMmtuss3MbuHN4gva64agTA/bsBQJYKcQ1nT+6c6b+LJb7SixfiVt4zWBQOQfUQW4VkM35Wl3BmAssY93QU06LOu9ewWQd0poVOUEF6iHRlVyvpcS02U6LQogUtYbdvCpZpcTCE5n778vq15JlSFWiELIHJtOjbcSmUym9nsRrMNpXP80Jcm2kxU1ssE8yUwpuOylGpn6DMnamYM3U23LkFabvKb6h5qBjpIXUsfXmVHgp/4/1njwMAPLtyG4Dw+jUbTAsAbKm09Mhm9EB4JFFT0PLlL38ZDz/8MG655Rbt9dNPPx1XXXVVXQ5MUB2tlRvrDSNoMYWVk9p1S38lyKRQtv9qBaYEWJ3Nae3BMfPp67ZzQUt1TQu7UmYmiyDfXbQnQ9PGn6P4zU6qah/c6h2wWQtW02L4q1D6nP5WzQadmzMGfxoI5UolK6hRoH4YkRR8kB6yV7yAak/v/3vVVv+e6WzO+Gm/ShDy5l0nBtvvNsWvIqAVarRLNYU677Ln/2ZaSkEr5+XTQ/R3U/1RgEqlV0whrnmtotJDYfVQ5bOUaWECWpO+V5OLzv6YK2o74A0DbP/zPcykwjEttAs0XTgE6SXyeVq+DJhBC68I6NSCHr56ybovTU0LK8TVr7di+NLJhNX923/fvC+YoNDBxgAhYxeyoP7rUZ479NgDXyfGNZdLCap/qjQUV/Ztpg3N7+KOKYppCdLN5NgCG38yLuSL5cBJm94DgXlcxfE2LEEPt1EaGKVtM1PNI4maGib++te/xp/+9Cfsvffe2utvfetb8aEPfaguByaoDsW0LN/co73eYpSiTWpvCoyo2rNpVlQ1rbMZb2zuxbqKRkUFLWbAExrR6emhqSQ9ZOZMAWKoFMW0GCtlwC6/LDABAtcwkeukSlc83ERI95kvuQcYszkgHTzYEkVjkKEVRkoY+ZZr/4ZZFfMwc4BoJZNDkGaj5nIZPYhy+bQkk6EmaWUlVaiu5767jMMTr2/BpSfuiQUzOnHSwun42K+eBhA6I3ueFxjLmZOfWQ7vClpMnxKOEQP8wTdfKuuVXlWEuAPqPZTUtylVYVrUxKO+g+9JpU903D1mikCrMS3c5EWDFtrFWWGSwZbR8cAVtHRw5esG62Hel6amhRfi6qJeWrWmkEyGjUotp2SynVlxaKZbAerxo64Tw5oZrEaZSTlzvY7iNO40tTj+MenjE5tCspgWez9mAEhTbeq9ZNL3QiqUfA2NYuLo/bX/rPFIJoA12/uxvquf3EPhd6lFiZoHaLn8SKOmoGXdunWBbX2CDAylUgn5fHSzNUH9oAYjk2kxV9iT2sKAwix3VlAeMEqgt6XHD0ZM/YszPdQRMi2cENcSujEVPxyrYVfG+PtRVuF0+2odYCk1H1eIyzMtZorDXg0DNtNSYCagppQftBTLXnAdaUBC99NLqoe0wcxxPOmkPWl3tmTQ1V/ExgqjplbYPznvUOzIFTGxrQnnH7krgNBFsydXRE+uiFO/vSg4xnaDzTPL4VWAlkomIr1MwrYE+rGmUwnkS5VKr4hqHi09FGhaEHy3C0GFEZsesj+v9hmvy7N7GzM1wTEt1LckKmjpIqXrNGiZ2KYHLXTC4crbgSpCXAcDaBsfVmcBuWab6hjzpXJY5s0ESmbAx7F0piA8Sg9l6l7oeyYjBrirh+j3cOmh4PuMe54Gd86AzFFVBoBNHap/F0p+wMvdX+3ZNPac1oGX13XjmRXbgtS7zrT4/946VoS4CxcuxAMPPABAD1p+8pOf4KCDDqrLgQmqQ2lVVNnxAbPG4X2HzsbR86do2+23y7jg3y6aTzVjW7ddpYf8oGRim860hPl0/2FQ1UOcpkXvPaQ/zDzTYg/yZjM1XgNhr5bVfjXTMhLccNQ9d+xxSp5dZm4upoUr0eSOIdgPYVLy3MRgCH5dXZ4BfXLy/w7dec3JTjF5O3JFLFq6SQuOO6z0UHjuhVKZFeECtpcJp9Hxzy8c6LkAM/BX4dJDcRxxjW309FBZ249/PBWmxaweYgTEUe0HMsEK3n9P0fe0EotqptQkTu8ZmqJVAUOzkV6izAkNaMy0XrBPRog78PQQI8Q17k0uFUH/tp5zhyaNHh9bPWSkh7gu7aYhHP28qcvzvCqMX+DBYgckAwm2osqimw19H60ApPOw+j26+4th2bvBvivX22dXbmPZujaDaWnIkmeKL37xizjnnHNw2WWXAfCDlXvvvRd/+MMfcNddd9X1AAVutBoD0MVH745T959hbXfR0bviv+97BYDfg4iDCjrWB+khP3iZ2OZgWnqrVw9xQjfTEE5jWphVkSUyZVbmKYbK5UV64QrL6YjraLgW1TAxNLkygo0IZ1MFc1I3j5lunyuW+fSQJfjlAwFAn5wAXcBpQk1wvfkikoks+55CIqHT0lyABjD5fVd6iAzicR1xzeAmTtASMi1kPzG6SpvN8wBqQFcJWjz9u/zz1PfDaVLohK6Ez+70kH/gLUYQMKmtKShPp++ZzTHD121Ni13hxaeH+iJLnvnqIXPl7iqz1hcd+u8bybQEzy+T6jOecY5pMdOYZBND06LfPxwT6uoQnmFS13H8e/qr/JamuSAAtBr3x26T2wH4FUTq2mcZIW5YPdTgQtx3vvOd+OUvf4l77rkHmUwGH/3oR7FixQrceeedePvb317vYxQ40GZEz5PbbYEt4IuqbrrozZjQmsGlJ/JOhkF6KAhaeKaFDpj9hVLwYEztpOkh/QGkqxTTXE5zxGVWr/YKzJ7kTKM6zwsNufTqjnCFFU5w+u9glnuyDRMrA5KnRKeOQd1yNmVSVtwKxtxPyOzw6SHrmJnVnoLFtEQELUrovSNXsjqAc9qIkJr3yKCbMrbRB3Cu5Jkee6FUDsvOGVZDd8T1/x+neshMLepMS3Xhb5RxnNkwkRNlWkxLljIl4bVV2jEuaOnJl4I+UFbQQrRouqaFv95c9VFUsE2/U/l8RJrLmZqWKkwLxzTY9w7HuuoLGBXUap47VuBMxP2V98xO45SNSTFpHbUI4rV0fLDFppki/F5MfZ/Zd8j8DQIRbTppd3yvpP239vK6KCXEVSXToyk9VBPTcu+99+Id73gH3vGOd9T7eAQDwMzxLdrfUzqyji2Bt+w+GU//x0kajUgxLUgPRTMt1KdlQ4Vlac4ktRWcyysBCAcFzluFa25mm5HZeWW7XJB8n6P0kDOdotub6SGuT4j/Xe5SZYtpYbQBHBviTDNp6SH6G+liR24lp2AGKWYQQ6Eo4p5cMaCJFcyS5/BcfEM010Rnd7O1f1/6N630okxLmNYJPzOQ6iG1K16IGxW0oHJc7hW8zcbQgFdPIfUwjqWqOV6xHLZMoEEqDRgV02mJ70mqj9r3D0SIa7EepqYlVvWQXqbrYgcC8bHpHp22r4Gp+8gyz5PJtEQJpotEJ6eCm4zBtND7Q2NaKl9d8sxggwm2yhHBlhFIcefWbP2WfEChrpOyr+B6BCmvlm29+WDspo645oJ4NKWHajqS0047Lei1IBg5HLHbJO3vqKAFgDNgAYAZ48L0ULnsBWkkW9MSMi3ru0M3XLpv01xO81apDEJcTxJeiMszLU0MtcrlqDl6uUCZFoe5XFTvEs1HpOw5B3Un5c2UAHPHYO4nr6WHktb7lsusSSNBD1JaMqnIwai9iQQthq0/p42gvx3X1gBgqiQcqTU6sUR5bWgC2oGYyxlMC91XVL+aKKbFLL3nBcQOpsXoFaauqTJx1CuwksHvr9K5pkaEVhA1x2Ba6PW0mJZqpfiFEjZ253DnP9ZWzpHTtOhMS3PGvMdV4G2I1rVmiGHKEIgOEIKghUk5m4FzkLpOMmNFRAoJoG0g9HvHdMTVv89+Nsz0EO/TopjbKumhlJ4eMlNDgN8NHPDZGE7MbTqqjyampaYj2W233fDPf/6z3sciGCDeVBFTKbhEdnEwpSOLRMJ/6Db35ANqcVIb36doe18BmyoVKGawRCcvmqoBwsHAbGsPRItew4dZUdCUWtUHIdV3xD8WfoXFfRf9vpBp4VZq4XcXirz9PhCP8mbTQxHamAIzwJoaBJdPC6BrWqL0LEComeohPUiC/TCTH9UDcZVSQETJs5UeCq8pN/Gof9MA1Qu28/+O6j0UaFpo9WPl81x35qSxymeDWSMgY7cxKusCpiXLp0uU4N38HdW1U8yorWkh6SEqxGWYlvZsWnueQhMzI9AwUn3UP+i//rwEDy/bhFQygbctnB5sY1bauYW4fKCkNUM0LPqjmEszPcSm8YwAlC1NV/okZgwDqCBcjT1MIKVYlOCet8cwM8XNiYxdJc+m3sTs8m1qH4Gw/9y2ntAduzkyaGlwTcsVV1yBc889Fw888AA2bNiAbdu2af8JhgfZdEqj/qKYlGrIpJJBj5n1Xf3YssO/4ScYQQutXFBsjBnYqIFKaT5oCkhNTqaIDwCbBohTqWM+8NQ3xdWS3i3E5VNbZqqAmp+5VqIuBqQa0+LUtJRIgMR1ebZKnqOZFlOUa4KWPCuNU/Aelx4iASbXdwggBmzG72sLdsOJhWc19HSN/2/9msaqHiJfWzICEm11btxjbPmrkfqJds31A/qqTEtltWyudFU6RzEtLQZzQZmWauZypjhXbZ8vlpErltgKJQBoaVIr/1KwyLnylL1x5sGzgm3CBobR7EDYNLGkLXQyDFNqGrDpCxM+PZTkAhIjcE4zCxyOaaHrHLP6zOwWTfdru9262R+WabFKnvW+QwoDSQ9154qB9xJX8hx+9+hhWmpamn/4wx8GABx33HHs+5I6Gj4csdsk/LXS+XmwmN7ZjI3dOazb3h+kA1xMS3cu9Powzayam8IbfEeuqE38KrAyRXwAb8ZlVupwxkymlsDlm6JPhP5rLp+WoMuzo49PpuKvUih57OoKYJgWNWAzwkFz39oxEZ0NP5iZQQt/zICuaanGtKjV1o5cUcvpAzyrR1fVXPWHf9x6moUTJ9Nj10XTXNDif97zQoOwMD3kPjc2PaSYFq56yCxtZZkWY3XOBT9kwsyXwtJ7F9PCaVoAuzO7bSgZMi00FUMDFNVw1UwZTWjNoK0phZ58CSu39DorlGjvIXUdTc2U+fy6mBaa+qDMrJYWc4hVdVG6kR4qh+ca7CdGhaDpUEu3oWOKui/UlMdpccx9mUab9JgCq38m6G82hP2uAFDtd1sfL9IG/PtHdY9X3lzNjLmcQjXpwXCipqDlySefrPdxCGrEte/eD5/+9bN432GzB72vaZ3NeH71dryxuSeYaC2mpbI69zwELruWmVU6hQmtGWztLWBdV3+wiqQrC7VKo0wLNxGoh99mWuzBLKDlHekR6s/ApX3oNkF6yGH3n0kmkIc/yLgaHbqqMKh+g/VpMczlKGPDCZFdPi0ci0MnrSgRLqALcftIcEmPSTtuslp06Xyorsjf1l7lAnqQwE08wfuVyYLGVLF6DyXU/0l6KEJAa4pAORbFZS7HrboL5bL2m5q6A/W7cZoWwA44WwymRhPiMr2HAODQeRPw5Btbsf+scdpnE4kEdpvSjudXb8erG3vY6hL6dx/pRm1NoEYQUY1p8e9xXpNGK2xo41Q9sNEZCxWA8l457nSNzbTYwmsgbnqIZ1q4YwoWXkWbgXSXj/P3zvYIpiWVTKCzOeNrE5WYm6keUlDNOEcDagpabrnlFlx33XX1PhZBDZja0YxfX3x4XfY1pcMf6Jas6wbg3/ymijybTqE5k0R/oYzXK430TLEu4AdAW3sLWLe9H3Mn+T1sqA7D7BBL/00fHiXEMwVqXBmpYkXCfLiZmgj1FC5HXK6Ds/8dnOaiFPiS+MdqBC1Ws0d7IIpjLkfTP1yXZzVoqXb0RWYQVhgQ09KkfFpKVvWQOagBJD1ULDsZFHfJM3+timWHI64hxKVMUCyfFlaIW/k/w7SY38dNYq6mivTUgvRj0QvKSbmS1EDTwpQ8A9H9hQAjPeSw8T9g9nh8/4MHs8HrrpPb8Pzq7Xh9U08o1LTSQ6GmxX299UUA574KhDqa/oLeAoJnVN3bZAymlEv1uVyvM9q15LcxxwH11VZ6iAm2LOEvs00xQq9jLoK4lghAeI9t63NrWgCfUaNWBlzDRIVdJuiVqiOJmhJV3/zmN1EoFKpvKGgoKE3LK+v9oGVSWxOrk1GT3Wsbd1Q+Z/vDTCfVSJxvCE2dqImgjzHasjUtUQ+8sXpP8hNmqVwOVuiWpsUY0EL2hx+MqfurVRLqMIMaqKZFL3m2z5/uL1csB0LFaj4tUR4tQDhwbe8rBIPbl05fgMtO2hP77tLJHHcY8BUcK29TiMsN4EB47crlaCfSoH8MSUmbfYU4RAlxOWFm+H26MJOrHoru8hwed29FS2AuDICQqq+WHlKIEuLSz7ZkUsF5dWTTGN/axFZZqWaZr23cEWpazPRQmgQtTEBO/85XYVrCZoAh05JMmGxXyJRS3RqnRYnq/6Sel2LZD/LV88L5AJkpHZNpMauH2EaPhudLZFm0pdexF3oq8FPGhKZo1tK0ODo0KzGuAh13zX3OavSg5dBDD8WDDz5Y72MRjDBU0PLPCtMy1ZHHDMS4lQHVTA8BelsAjn6lg6wayIKOpEzQEnQwLtuDgkvoZhqW0RWPq2Gi2eyRSwPQ7y+WPPdAbDAt+Ur6hhus9H2bTEsojIzq7wL49DpXwqlAxbcud1QFs2laIgGcc/hcfOqE+WwwS0vdXeJks/dQNVZMTSz0Nfpvkx0B7L5CHAKxLtnG0qsweqigm29EGbbJtOiVK2FqQjEtHGul2LP46SH9fdozjOoTEolE8HdUteGuk/2g5fVN7vSQur/zEYF7xlgEVLPx1zpbW/dOeE9Qcb/ZdwcIu41HMWLq2EOmhT6XerBVYhgUICx+UCkrdRtm2EDVnRI1DeiimBa1COoJmm3y6SGlaeHSQ4DdV45Wh5nCcFPbOJKoKT108skn433vex8+8YlPYMGCBWhq0k/one98Zz2OTTDMUEGLGoAUW2LCbLrIBS2BWV1Xf7iyIAMHHbT6CiW0NKWCwZGuDNQAY1nmRzItlUHIYWxWKvNltAAV4rr1Df6+Qm2C26dFz0Gr46JBhqKTuWMI9xOdHsqkkoGokpZFVxPiVmdabMt/LuVEjwMwNC3O9JB7ZQrY+gWAF+KaZasA7SvkPjf6nvrtIoW4ThaFWZ2bVUiOFFLAtGRjMC1VghYzCEinkrjpojejv1CydGkdzWls7ytYTS8pdp/i27y/trEncLs2K5RoWlIF5uZx0nQYALa8lp4v7WxtBu/0nuDE/eq8FQqlMquHosdIK/KiSp5d40DoiGv6Udk6G/O+0H1hwvvC8/jnx1wE9QRMncG0GAsvd3rIXUDRrDXZTA+qMrXeqCloUXqWG264gX1/x44dtR+RYMRgpnmmd/JBy5yJbXjyja3kczYjo6WHyvZqOpVMoCntV+CoYKUvWHnaluZmuoYyDerh9zyfpuXoV/8zYfqC0xvQz0T5tNDtCsVydZdPxbQwq6d+Q+DKHTdn429VKqWT6MmXNHqdY3Ham9JIJvxBtmrQYgyGE1ujV1s0ZcalwgDDf4WIKU1WiAaibO8hU4hbtj8bZS6nBUCJBEoIgyMu6Au0C5bIlgmklAiU2YYGdoNhWsxyda5C5C27T7ZeA5QYty+SaZlXYVo29+SxXnnBRLikdjM9kujfoRCX12HQdDGn/QL0oNDVkNNkUTg9lNaRvFhmNWC0CWuZBM6WpkWlhzxPC1qiHHg524KwQWgYkJnHavox9VRJDynESQ9NaM1gMkkp0iCFW5SOJGoKWiQoGZuYbKSDpo/j85h7T+/Q/jYjdoCmh/pJxYv+wLdkUn7Qklc5WpUeIpbiKf1BZe29qa1+maZQDHaE5MRd6aE4jriArvZ3TdB0kKGMAQ04qBA5PAb9u3gbfzMV5ZeoUjaG82lJJhPoqFQNVBPiNmeSQYAD2JVkJmi5qbOUmTAk2iBvmssF6R+PnfzVNQ+EuFTTwuhVTGhGdUkAJaZTr9YbJrx36PemmJSC6czMdggvlYmFv5tpUaeVNX5HOz0U3/zr7MNm49ZnVuPw3SY6t2nPpjGtM4v1XTm8XEkXW+JZcr/vcGhv1G8SikcrAb6jEokG3bbHTyWQIKXiZrBL/y6WeD1UIpFAUyoZpLWiSp4Bf0xxVw/5/y+VdRNNjgkulDy9LxrTbLNEWErzNzAXQWF6iGdaFFz3Bk0PvXnXSc4g39S+jDRq0rQIxiZMxmT6OF7TshcJWjqa02wFDO0a7RJb0oEKCJkWSkO7hLhc7yFADR7Vc+LV0kPVqgYyzARtlh7SQUYr46RMCxO0uFareUd6CPCZluC71IDuMIRS6b3xVYKWRCKhDYhccKodJ+MnE3UNNDo9onqIS7OkTGHsAKuH6NfR1TLdZ5SBYSTTEuG0Sn+PwGY9gmnhPgdUF+JG4dwj5uHWjx1ZdTJS44HqNG1+RzqZCNJsfY70kFmN52JaaPl0rmrA67HifsC/9pRRdS9Owm2izOUAP/hxVw+F9446JlNAHKaaytp9yt1fZjCvNUw00s09DiG3xbQw9xcAjCeLkKgA1tS+jDRq9n3P5/P4wx/+gH/+85/wPA8LFizAu9/9bmQyo+sEBfHR2ZwOViBAGHiYoEyLi2JW6aHNPfmAxjQHmBaj4ZpSw9OHLENEbK7UDw1gimXeTZN+f9Qg5BLimtVDVFCpBuIoTQvtsdSkMS1lmIhqvOhszkjo9aC3iWPl9Inj9sCjr27GgXMmsO9TtDWlA13FXtPbI7fVhLhV0kPFUkjLc+dDzeNCjYn9vpqUOB1KlLmczrToAQknHE/GCEgyhuCyxBwTnayVwDlK06JgpYeaozUt9YDpnmuu2BMJP8XbX+DvbcBO7zo1LaR82q1zCpks7hoppFOJIIUU1a6jp1KqzY0FWn8xB2MD6A03XX5NeqDO3/M0baqenWRCPz9aYQXETw9x9xfgV48pHOFIJQLAvIplxWhBTUzLsmXLsGDBAnzoQx/C7bffjjvvvBMf+tCHsGDBAixbtqzexygYJiQSCU3XMsORHqLuiFuNRnoKE1ozwcOzZpvvuGimKwKvFis9ZFcPAf5kyDYbo0xLyXMOepw1vOXTYjlqurQvYZ7aJTpVEw91DDWPK8emh9xMS5AeckwOfYVSkM5xiWbfc8hs/PdZb4rVuZUOeIfOc6/GAOrTEg7gZlqDCnFVqWkiYU8GmqaF8doIghpTPMvoXjhw+wqYFiboC5kWVI7LTkGaLQq4smh6jwS9YeIwLRHpoURiaGzWTadcjs2pxghZPi0xmJaQpbOZHUBn6bjAnKZ4q/UY8y0CotlbWmFkjmHJgKXjfZgA3RG3QMRXHLMTFfwE/dqKvljXVT3kYrRN0MB4/lR7QXL9u/fD4btNxKUnzmc/P1Ko6U7/1Kc+hQMOOACrVq3Cs88+i2eeeQarV6/G/vvvj09/+tP1PkbBMILqWlxCXCrS6meYArXNtE5/X8s2+Boo8+FqIZO6vy9biGsGLZxPSTKp9wJyCXFpBQgn7gR0K3q1Lf2sAmUVAiFuhh9kqGOo2VqAt/F3aVpKbNAGhAGgoowBvnpooFADIwAcPDeamWkik0UcR9yo0myajuEmnpTBjqj/08sZnR6yg5swILFX8RrzQwTEcRom0uNQegoA2Frx0YjyaVEwJ3Aqom7JpIakuqPDWMFzbI4rlalgNjAcSPWQZVlAJnZO3B8cQ8p+zl3d3P2AxE4PJRIJbZHj9GkhjJ8rZUUXOAW6eEna91ek71PlN1NMk6t6yAwIXemhE/aZhrMPm4Nvn30gq2c569A5uPniI0adpqWm9NCDDz6IZcuWYeLEcOU1YcIE/M///A/22GOPuh2cYPih8tjjWjKR4r7pnc1Y19XPGsspTGnPYuWWvsA51yUe7C9EMC2W0t8xMCSTwYpIlVdWc2MFqgtxox1xKz1kHEyLGiw8D+h2VIH813sPwCW/fAoHzBqPu55fC8BtvNWXD1kUFw2vBJEAHwwMFOsqDfkAe+VtguoEnFQ5uQauMlJAT9lEN0xUwlj9dboPDlpwY6WH7HuMq2byj8meeNQEF1jIM0FovlQOWEquJNWc1LkJTFXfDUTPMhBUSw8BjBurS49VKeXtL6qO0TwboFe/VU+zmM8l/Zwr9UOPq0AtApixoFguVdLJDg0NaZjouueDgMQ4bnp/0rJoF2PTYthExK4ecqSHMqkkrj1jP/a90YyaRrV0Oo3+/n7r9b6+PqTTNctkBKMAKghxsSwK//ehw/DW+ZPxw3MPcW6jIvTlm/0eRS7xoJkeoiuDRCLBiuactu+EgnV5f/gpB/81c2ILc/DuChBAX1UHQlxHRQQQ9gExj2nfXcbh4c8dj/ceGvaOcqWHekh5tMv2vbvOTItCtUojIJ6mhXbYLTomAqC6aNpsYOhizlwGcxzTEqaH3D4atPwV0HUzrsZ4rgkzqgtvtWAACK/JUOhZALuTN58eMo7TUT0EKD8X/lnRmi+qSdtVPVQuO8X9AHVdjkgPaUyLQ7dGPKLcPi2oHJPnPCbqiOsKyKgeyv3sJILv7y+UYlcPuczlGhU1BS2nnHIKLrjgAk2/snTpUpx//vk45ZRT6nZwguGHYlqmOYzlFPaa3oFffPjNOChCzKmqU9ZUuoiOazHMjIz+Qy7nTb0qhV+9aqswZ+fgcFLhNBD0M2qF76weCga9UIhr6jeUFw0QulO6dCR0YHEJcV2VB0BIr1OmhVuFDhRfede+GNeSwf996LCq28ZpbRCuOknZKjPxqAmEljzHSQ+ZQajrJ2D1MUapsotpcVU9mRVGStPiqlDbHtGF15zUuXYPKmgZSLnzQBBH02KmrVw2/oDy71GOuI5UakQfI+0Zjwh4wzSlu8eYCrYoe+tqsBol3E+SgLe6ls69TbjocrOUiUQiuAa9ecq0RLNy41tGV3pnsKgpaPnWt74Fz/Mwf/58TJw4ERMnTsSee+6JRCKBb33rW/U+RsEwQpUzL5jROeh9KaZFselOpsWqHuIfQlpK60o7lMruChtt9e4U4uqDrCuXTdMcgeg0Yz9O6lwU01JL0MI2VTR9WiqTx45cyOjUQ+fwgTfPxbNfPAlvmj2+6rYqCF23PadpeCg0Ia7DT4e+pjEtXNAS4WILuHUtlk8L2Vd4//CBDQ0edW+PcIVP92eKN80OzpyI1pUipFBtGIYqPWRWBlZLD5kpD0C/dwulcsi0pHlW0jeXi9aklUruhQlAns2yOz1EA2xXJRJleJ3VQ4SBc+1HE+I6WCQaILkCfiB8xrb25oNx1dS00N9kXEsm0BaOFdSUy5k2bRoefPBBPP7443jxxReRSCSwYMECHH54fboNC0YOp+8/E7tNbseeVcpb48C0+3dqWvIllMteINJzOW/mim5amIps864VDwk0Egl/e5cQFzCqBiJWYWog5lbDrZkUtiFsOMhtA+gpMdODxZywUszkEDAtFcqYM5arFXGDn2P2nILr730Z9y/ZEDRYc/cectPpgGHZzjYnNDQtDsGlKz1EXzab3vHmcuH30bJV3cY/ZOnUOQK6+SEQXk9VSs6ld6ppWgDCtAyTpoULnLTmn8z7qYqXS9nzFx39DqZFnW++VHZ2L9Z8Whzmcv53Era0ih9Trhgax9kMSRjYuKqHqDNz9dRPxKKL8WnhngvVY2pTdw6Ar81yLfIAYJ8ZHaPKgr8eGJQA5fDDD5dAZYwhmUxgv1nj6rKvqkELYVrUYAbYD6G+KqpCwZbckyGl75OONJNmA15057tpT6QopkX5T6ighRuIgIExLZw9f8i08J44w4EFMzvx1vmTsWjppkDHZJd/hoFjlKZFa5jIpPKSpqYlqNTR9+NiWjjBrmUc5zCXozoJve9NQvt8sJ1jwlTvmxM4MEBNy5Clh8LpwVWhlK0StAD+/ZwrljWLfhfTAgBdfcXK5/gAlBpIVtNDlR2LDp295QMgqjOJVT1URUtXKEV4ucTQtABhU8PNyuOnye4LRD+3YEZ9xvLRhAEtx5YsWYJzzz3X+f65556LJUuWDPqgBGMDZpBi/k0N0XqJyLTZ4f2QJ54KUQ6q7tVMJfiJWIGZwl+XmDLNMi325KGCkW19/iDj8tOI0iVQ51HuvACqaYkOjoYaHzpyV+1vJw1epQKEdlXmUnmmfoSrHgLiaVpoBYg6Nv87ktY2RTI52W0iwoDM8/hSbYCp/IrDtERpWpigpx6gmhbX/UmDD9c9p+6B7krqErADNfpcdDnuYd0Rl0/FANTun7gpOxhV2jDRxaYWaFm0I/1Y8jzkXVWL1BTP0TMpYCBJYGOWfAPhdVBMCyviJt+/z4wO6/1Gx4Du9uuuuw5ve9vbnO+/7W1vC5opCgRmfX8U0xJa+KfsvDgZYPqr2IWXyhFsDNkmFHfax02Fv5yxGd2mWK6iacn4q9XtfXxDuXC7cPCh6QcgdB4Nz9Wd6+4J0kMjQwkfZHi5uGz8C6XoChBaDcZ5olhC3IGmh7jqoTK0YENjWlSvI49PV2nHTHxcuO1MliGOpoW7bzqHOD1ENS2u79CYFlfQktLTYf7n9P0lk4kgkOlyiNZT5PkNWI1qeihH4BgaIbrvQ+pS62ZaUDmmCCGuVv3o+q4wPRRH06KYFs6RXE8PDV6bONowoKDloYcewlFHHeV8/8gjj8SiRYsGfVCCsQGzt40dtPi3X1+hxHq0KFClv6qOMSsbYlGwxHrfNckBZECLYlqSJD3k8Gmh56PcT12rUc6um0Jf0bppelXyPFJMiyn8c5XA0tL0qPQQnaA0/QgZ5P3toul7a/+cjb9n2KwzDROppbst3CR6HeJ8GiVOBXhNC9U4ZdNJtqXGvrv41P/eQzQx0fQQl8JSx8b9myJjBC20dJdCBUZxmBbOZFKBBrSBV44ZODJMi6tjdJFoWszvU+OH59H0EB/8UPG5U+tV8gJPJ7NVAxD+Rht3VJgWxoNlB7E9mD9t8NrE0YYBaVpWrVqFmTNnOt+fOXMmVq5cOeiDEowNmA32ooS4rnJnQKdpFcVsunVSEWQcTYtrkgMo0xKaSpliSi09pEqeI6qHXKtHii+cug9WbunFwpn2JBSXaVHVQyOhaVGYP7UD67v8QdV0LKXBRuh9EcG0lL0w9UP1IyQA9TzPWT3kEiFqQtzK15eNYEMreSZpgGrN86IqjAAmaEnb9/weU9vx3kNmIZtO4fwj52Ei02H75IXT8eTnT4w0eBwM4qSHqglx6etqMubOF/Cf/a1UtG4J0OkzHqFpofeYiyllNC2uILRAdHKu6qFSGW5TS+rpVEXTUiiV0VUJ7qKCls2VoMWsHAKAQ+ZNxC7jW3DovAkWozUWMKCgZeLEiXjjjTew5557su+/8cYbmDRpUl0OTND4GEeEuImEXY1AfVpc5c6ArvRXTItpfEWFbM7VDBkYyp7/Hhe0UJM0VyqgiewrF8W0ZHQhrotCB4AL37qb871slaDFdMQdKaYF8Cfch5dtAsAIcQkjFtXYkdO0aN2SyX5LRHBp7srVf4hLD5mVQZxPC00D2IaD4THlSHsLczuTkeBYjFQyga+deQB77BS0D1i9MeD0kJNp8c9fMS1ccA+E44FLiMtpWqI8fuh94XK+zhfdqSaaynQGqiSYLTh0L5QFdrI65JjVWNHZYk/PgaZlhzs91J5NY9G/HRfpCN3IGNDIdtxxx+GGG25wvn/DDTfg+OOPH/RBCcYGOrLpYBLpyKath4jTtEQFLfliOaA+zQCIiiCDpoIxVsJceqiJpIdcjAzNd+cictBBekhVD9XY2E5nWpj0UMC0VKqHRnDA2oM0X7PLVoko0VHZAZCuyo5UHv1MVLrPXfLMp4doiwfOEZfqJCwxOG2EWXQHLVY38CHSpAwWqWQi6Ivkct2lx+4KyMP0kPKlcTXwU67OKsDXt6MCW1eAQF/Teow5rkG+5Bbuh+m+eL2HApGtQ3yu6174e6dQ9gJWlmNa1G+0KUgP8bzDWA1YgAEyLZ///Odx6KGHYv369bjsssuw1157wfM8vPLKK/jGN76B++67D4sXLx6qYxU0GJLJBMa1ZLC1t6CxLgrUBTNK00KFuGq1Zq4w9OqhanbaoY1/VHqoUHT7M1DWJrDxZwbjoHqoYi5nuubGBZ0QJrXZq2s1mLnOfThBO8ZGsV0lhwYA4FN5elfc8DOFctlZPeSyqOC6QZfLtNqEN7OjKSQrkE3SoCWshjPZHotpGYIOzfVCe3MaPfmSk2mh96XrnjP1Vi59TIthxJhJ87+v73pdvXqoWPICV2Jn0BKZHgoZkji9h0LvmAghbuW4La0XWXQpTU8n0zpDXQc1nrQ7+gqNZQwoaFm4cCH++Mc/4oILLsCxxx6rvTd37lzcfffd2Geffep5fIIGx/jWJmztLbBW0rRJGq0eMqFWLr25UrCC7cjqD3SarGaCtIPDQt53yuQnHv9z/mu+8VR02WofKdXmmZboZmZxQVe0M5gWCxajMZKalmlhmWUCPC1freRZ68jNsGKUbSoUywNmWhLk59KFuGpyct07tNw2KmgpV46Hs5Dn++6MRnQ0Z7C+KxdR8hwnPaQLcV1MSyjErVTaOa4BFWdzZcFpsl21bu75krtzesimRjjiVv4sRzRMTLPGl7xYt+yFAQmfHtI/5+rgPJYx4DM+/vjjsWzZMjz88MN45ZVXkEgkMH/+fBx11FHIZKo3VRPsXFDiW67hHq9psW9JxU5sqVTgAHa/Dba/h5XHprSx/xqneVCDai6iS6z6W/X/8D/nFuKGx1Bj0EI+N50JWsyJrx4dnmvFxLYmHLPnFGzozmHmeP1YKYPiChC07Txel5BIJJBOJgLjL5d2waVp4ZgWTcTtuN6lCGt4+t1K08IyeTGqh0YLFKPpZFoGELSotIeLaanmAqzr1mIwLdQUzmEuVyiSNKVjYaL3HuIDqXKEdwytQipUWVABwJZKOXOUEFfBbJa4M6CmM85kMjjuuONw3HHH1ft4BGMME1rdQQtND/U5LPyBcIDZUhGftWRS7pVwqewsh6Rlq65JDgiDj1yxVFXT0kPKC6OEuOa5DBRUvMgGLaOIaQH8LuCe51nVO/S6qbYNnEYnYD+IXsUMQNKpROAg6uol5UwPcakfj3ae1n9P6ppbcExgNJBS6aGo9CPgLv8dLVDaMaemZQDVQ0pv5da08OlchdjVQ7Tk2eVKTEueHVoUmtap1nuoVA5t/E32J5YQN2UHLVELPYW2IXJDHs0YvclUwZiAMpiLys/6Qtzq1UOBoVKzHWtraQeXIE5LD/GTHECDlurpIdXrpymVZPfl6qM0UNCJbjrj2WGKObkV6HCDKzemg7MyCuT6JLEGYa7+T2Vq9a/vx5keIi/rE48KeF1Mi1vfQF9T6SHu3HRvk9E96aigxZkeIvedS69lpoecmhaTLYxyxA30I8y9Q+6LqkJc8oyb+9J8napUD0Wlh3QhbvR3AYRpiVjoKZi2EjsDRn5kE4xpTK2UZHKlmWpALJS8IPXDDY7qod/S4yvmTY8WwGiw58h3U9rYtXoHzPSQw7K9sm/FtMTp3kzPZaCgTMuMcS3W++ZEwOX6RwPo5KH0QNXM5Vw9fKh/j6thorP3kJYe8v+vUfyONABNTXABkfqcYlq4mIneK64JfLRA+cNwqQognhBXNQCtVj1ULcCnz7grQABIqXKxHHRCdpU854puG3913MVSOYZPizs9xLndukTG/nb+ftjqIeO3m9yx8wUtO19CTDCsOP/IeWjOpPCBw+dY77Vn0wGdvmZbP4DQ9p4iSA9FMC16ybOr4odLD9nHrAKEXKHkZFoyRnrI5QZqBi2u7aqBTr7TxtkBoDkR1LPLcz1BV5h9BXfLgVDTQiz6jVOiPaJUNZjJdrmCFvp6MBl6bpdeql0oRa7yK0xLwa3XaWogpuXCo3ZDWzaNMw+exb5Pg2lneqhGpsUMvHWflupuyiqwAZj0ELE1iNWrzNl7yP9/mYi47eMOGRvXdyWTYTdshSifFoXJ7UPn0zNaIUGLYEgxY1wLPnMSb0aYSCQwvrUJm3bk8MbmHgB8QKIGPZUeMj1aAGMl7MpRU4o/wsafpodcAjw1Ye6owrS0GEFYlLlcFLpI35bJbMnz6NK0uEAH5yBoiSxbJatlU9PCtGUwt4nTeyjJCXGjqoci9FDqHuuP0rQ0ENMyb3IbrjzFXRFK7+dqQtwdQdAS7dNifk5Bqx5ypPGA8BrkqVdORJdn1754TQuf+qGGlXGEuNw4kE4lg2NOJxOs+Nl8bWcMWkb3EyMY81BC3eWbewGAtSQPbcB5jxZAzxu7WsRrjriRQlx/YKD5bsvGPxkGNv5nHEGLybTUOEmp1BjA63BM2ngkfVqqQQ3qStPCOeKmuInHoUsoRlzPOCZbmhDXYUyYjikCVfsKqoci0o/mvxsRmrmcK2gxfFriPitR/XlcYmggDCw0g78oIa5jX2H1EFm8GNec9kVzGsepdFWEh5T//eG+O1syrCbMDOwmDVELh9EMYVoEIwolJFODArdyMFcl7Vk716sr9HkDJ23iiVU95C5vNVmcuJqWeZPa2O2qYWtPIfJ9MxgaSUfcasgkE8iDCHEjBnCN4neUIedLbmF1nJ+BrQyyJh7//9REjE9r6RNmozMt1TCQLs8KTqbF4SSroLVSKPILE8AWQwN2alHpVajrtbt6yD1eqKCNfpddGRSOO3G0OADQybDJgB7YdTanGz7orQUStAhGFOMNp1xu5WAGBFx6iPpoBBRrRFOyqIaJKgDoL7hLnk12oJphlsLe0zvY7apB6XlcsDQto55pKUUKcVXKJopp0RyOXdVDrppnZhvNmNDStFQmHq15XoSmpeg+NzqJj2aPljgYSMNEhbhMi6upoM6mulOL1JXYZlFCNlWJuG1vnjD141q80AWOumejGrUWHEJc83Nc5RCgjydD2XdqNGP0jmyCnQJmyR5nUW8Oelx6iGuYGFW2Wo5RPaSYAPrZ8PsGzrSMb83UPNBc9a8LAQCfOmE++34qmdDOl1uBjhaoYwt8WiImfxq0mPojKsT1XNVDA0wPuVx61X1SJKLMKD1FZHooM3aCljhMi/k7uXotmb+FGdxwFVyRLJ127+jbcJoW1zNdjGJaiKeTqwqJ7re3EFokWMdNPsd5tAB60LIz6lmABgxafv/73+OYY47B3nvvjfe85z1YsmTJoD/z+c9/HvPmzdP+O/nkk4fqFAQE49v0h3MC06PISg+xTIs9wFjpISWao9bwEemhHmLRb25nDsSuAZs6/M6d1MbmqePgvYfMxt///QR85kQ+aAF0Xcuo1rRUrlUoxOW0IYwuwcG0xLFZj0IoxIXTXE5pmmh6KKrkOUqIS/1Maq0mGy0YiI0/9xmK2D4tpbJTtwbYeqhkwvYMypAUkqtiLCidLrutDwJ7hIJb00KPUbGLfHqIMC2OEvNmYuM/WZiW0Y/bb78d73vf+/Ce97wHv/rVr9DU1ISjjz4amzZtGtRnNm/ejAULFuCBBx4I/rvxxhuH45R2elCmZUJrhl05mblmjmlhq4ciaFpVWhilaeklbreWpsUciB3aBDpAz53Yym4TF9M6myODHrqCHc1Bi/rNAyFuXE0L44gL+JqDcpkXSsZxm1VfX/ZoB2c3S+eqMAJC2r8/po1/4zMt1YW4cdsW2Okh/lrqfavc906UwZ9W8uxoYkg7ubtSgoE9Amm86OqZBFQJWsj5cuXOgB7YuXQvYx2jd2Rj8J//+Z8455xz8IlPfAIHH3wwfvazn6FUKuH73//+oD/T2tqqMS0zZ84c6tMRQGdWJjnoTnMQYDUtQb67HEx0rpUTzYmzJc+VgYH2FbJt/OMxLZShmTtpcEFLNagUCQAcMnfCkH7XYKAmoyifFlPTkkhwbJfNtMQ1l6PQBJ6OyZCWRReimm2qRpqFCKaFTPQixA2x6+Q27fdyVQ/pfavcLF3AtDCHFVT9ENbGfqZDZifUtvH7iUoP0fRnbxCo28etByQOpoVs07YTNksEGiho6e7uxtNPP62lbTKZDE444QQ88MADg/7MokWLsGDBAhxxxBH4t3/7N2zfvn0oTkNgYDxhWia18eV7Jp0cJcQtlLxgheUa9IBwQItkWvJuIZ/NtFRfMR8yb2LVbQaDzUSse9zeU4f0uwYDtYJVq042zWJoWjhtiCbEdQgl4wQtyRhCXLpf6qXhOqb+iICskczlqmEgDRMVXOmhWRNacc7hc8P9RXnlOFgNgDIt7jYRVIjrClQp06IWQub1ou7Z1YzjAATtSrjf6tIT9wxY5DmOBQ7dN5cm3xnQMGe9atUqAMD06dO116dPn47nnntuUJ+ZNGkSvvCFL+CYY47B6tWr8fnPfx533303nnrqKWSz/Oo/l8shlwu9M7q6ugZ+UgItPeQSltlCXK7kOVzxKNgVNeEEkouYDNXnaDNEc+4xxaNRpnE3XnAoXtvYg6PnT3ZuUw8kEoDnAe87dPaobsKXjpEeMl1NOe2RCiyiSp7jpYeIENfVzZe5d6Iqg9S5ccetBS0Nz7RUT0kOpKv1Z07cE79/ehWy6RTGGfo2vkO4W9OSI5oWEyqNR8W6tkVCKPRWCxiXWLifuGfzZdi+cVxvRHro7ftOx1vnT8Y/13bhoDnVmVIuTb4zYETP+vLLL8ctt9wSuc2DDz6IuXPnoqwovLR+yJlMBqVSifto7M9cffXVSFYGqf333x8HHHAA5s2bh5tvvhnnnXceu+9rr70WV111VeSxC6pDTw/xTIv5gHNMiypX7MnRoMWdW85FaA5MpiWdTNhCPqNkMWryOW6vqThuL+fbdcMvPvRmLFq60elAPFoQshHxOvXSv7VtqPmXV1+mxdLGkP3kY2gl+vJupoXel6YpYKNBZ40Gx7QAwLjWDB7+3PGV7fTfJmRaysQrx60NiWJTA+O4soeEs/eQ2qYcXE9Td9NMNC15h5YOCL2JojQtANCWTcdmZOcMUiPXqBjRoOWKK67AJz7xichtdtllFwDA5Mn+KnXz5s3a+5s2bcKUKVPYz8b9TNK48WfOnIm5c+fipZdech7XlVdeicsuuyz4u6urC7Nnz448F4ENPT1UnWmZ2pHF7lParW3USpimdMyVEx0o1Ao+yqelNyp9MQCmZbhw1PzJOGqI2Zx6IE0YEoAveTaDDTY9RFKCJVdDuxiEE+09VM3GH4hO/WSM+zAqsAEaX4ibSiaC/mHu9JD+O1U7Z1e5L/VpcdkaAOFvHj7j0dcgLJ82U4Jhekhdc7PCiVYPRQVS6v7pi9C0xMV3zj4QL6zZjpMWTKt5H42MEQ1aJk+eHAQW1TBt2jTMmTMHjz76KP7lX/4leP2RRx7BqaeeWrfPAEB/fz/Wrl2LiRPdEW82m3WmjgTxQc3lJjqYFhoQnHP4XHZwTAdMSzH4O8od1SWsA8KBqDcf7suE7T0x8kFLo8AMUlimxXiNTw9VJpVyyLSYQcuA0kNEZGvb+DOpRea4g0aaEdqFseSIC/jMSTFfcgYtJrNSa5k3p2mJqjwL2VR7Xzwbwt+XhVI5CDbsoMUW4jZFGMepYHYwi5zTD5iJ0w/YeQtFGuqJ+djHPoYf//jHeOGFF+B5Hv73f/8Xb7zxBi666KJgmyuuuEIT3lb7TD6fx2c+8xls2LABALBjxw585CMfged5OOuss4b3BHdCZFJJdFRys5MdQlyaDnr/m+1u0UAYaHTnfLt7bgBNJBJWsBHVMLHgWL2r49Y+MwqYlkaBXYnlnnhcn6GfKxRDIa7JyMQxl9N8WhxGYykmaOEYIjUZ9ebcaYDsGGJagPBZc5vLxde0REExGJ4XrSsy9VAcS8cdq9Wagwi9g6ClyQzA/HMpe/HLmbnvEsRHQyl5/t//+39YvXo1DjnkEGSzWTQ3N+Omm27CwoULg202bdqE1atXx/5MJpPBHnvsgUMOOQR9fX3o6urCIYccgvvvvx/z5s0b7lPcKTGlI4vuXBFTO5vZ92dPbMXX3r0/po9rdpZFq4lANVV0reZSyUQQjKi/rX1l3BOWgtU4bQxMPsMFuyTUXbYa/s1NPKHGIWTOjMqNWCXP/v9pw0QzuE0kwu7UuYhy5qCjcURzQDphNrq5HOA/n139XZg+jn9+zUnc7McVF7omrXqAEFwnrk1ExUGajgW26zVhWlxCXDJW7AhYXi4Id6eqBQNDQwUtyWQS3/72t3H99ddj27ZtmDZtmqVHuf7667WqnmqfSSQS+PjHP46Pf/zj2Lx5Mzo7O5HJ8DlVwdDgi6cvwNMrtuHA2eOd27z30Gi9kBpMVNDioqr9wcNtDQ9wpZbVqeSZ4/kBW2DD7inDaABiaFrU5/KlMhCYBZr7qX48Kc2DJcq0LIl8qUxMy5igJa2nKV2MX1PK39dYYFp+ev6h2NKTxzTHooP+BnMntWKX8S01fQ/9vfuLbl1RHKYF8J/zAinIsJ1sK/dXMbzmZnqIjhVB6odNDyUi/xbER0MFLQotLS1oaeFv/EmTJg34M9U+KxhaHLvXVBy71+B8RUKmxZ0eAuI5ppqsCWt+lkwglUwEK3xOHCzgEaUXUTBXx1GsRlFjzgymJU56SBPiutMOySSAEm2GyASzgaYlWruQTaugpfFX3JPbs5F9cOgE/cE3z411TTjQe6AQQ9OitnF9XyadBCrXKZng2kT4f3cT64NWw9AtmQwD0PD73UJchdEg3G9UyC8nGBNQNK3LSlshjlYiqlSaQgUsgO/mKYgHV/de7TVTRM2KKUP63iWs5pg08yW1Ei+X3Q0T/dfC8lbXNuZ9V83avtFLnuOAsklnHjyr5v2w4lnW48e4vxzPL33OeV2VvhAyP+N6jdOrxGEXBfHQkEyLQGDC9HRockwGlmlYjKCFm1RNdDhstwU2XKWlFLFKnoljqbpklhaGC1qMv1OBNsZzNkz0961XpXD3hSvFYELdYztD1dmCGZ34fyfvhT2mtmOCQ2wfB1zsESvgdaSHfNbElxJwuip1bZSfUHMmyTdYzSTRHSoS2H1ZOi5JD9UMCVoEYwJxyyqtktgIR1zXZ0xM2Um7rdYKW5RYfeKJEkMXSmUkEkn2c9wkYxoFqs+UaSlthFYiF6GnMIMUF9Ny5iGz8fDSjVg4cxz7/lhCIpHAx4/boy77UZ4wClwFV7U+YQpUEMyxI+ZCxNSzKLis/bVjGIW+To0KCVoEYwI20+Iqv4zj/5EILPEBN72sMNjuzTsbrL4+HKsRQ9MSlqSWg+AzjrmcxbRUJhTfHZUveab7DnxaOIG2IcJ03YeXnbQnLhvlzsWjESkjaInDtLiEuLThIMf2mc7bzqDFYMu4nkC2EFeCllohv5xgTMAcOGIzLY6VOP08NzlR7Kx22rXCWgmz+pHqFD8VXA7EXM7cF9f9O4r9idN7SGEslDSPJrjKkimswNWx6GjL0r5J9jbtTWlN/9TsKNWmC6aObJq95yyRr9wXNUN+OcGYgClojGt05VqF0YGoGtOy/6yxT/HXE3F0H5amhS0vVpqWsttcjru+phCX9rSJEOKqfeVidnAGJA1Qb1iTf0TvoeBvx/PbShoO8tViCbQTNsadHgqPgeuLBnD3vGhaaoWkhwRjAibT4qLl7VWYY3/k866V2jfPehMee3UzPnD43AEcqSDOajlOWbSasPTqoRhMmuO7SmUPnucW4qrj7C+6t5HJaWhBf/MU06rDfz2ewWAb1bQ4gsuO5nRQ8hwnaOl09U2KEWwJ4kGCFsGYQFwhrmXP7mJaSBDU5Jh43nngLnjngbsM5DAFsKnxOGJKVnuUDqt+XEELq2lxMi1esD0XbASmZVHmcpYQd+yXNA8n6PV1MShxRNyA31FZwRVEdDRngO39AOwOzwrU18nFtNBxh+uLJogPCfcEYwJxhbhxBzS6v+njanPwFPAwB3bOZj2RSGjXhnXEVd18i26mha0eMrgWrnswaxAWJ2VlnIvrPhTUBvr8utgR2ySO304T4joWJvRedbkXa0yLw/ogznEL4kF+PcGYgKUliBG0JBN2+asCHYhmTZCgpZ4Y36J7dXDlxYAeJER1efb9VRzpIeb6mrsKqodKIWMTR+DJsTFxzeUEtSGlTf78fWO+7nIdbs3GSw8F2zuFuDHSQ2T/kjIcHOSJEowJpJJ6B+emlMNcjmwT5b8iQcvQYUKrPrC73EHp9eEmDOqIW3ZUD/GOuBHVQ1H28FYZdnVNiwhx6wu66HDfN2aqmB8L2ml6yMm0hPdqHJ8WpxCXHLcEsoOD/HqCMQNaQRTdMNFHVAdgOhDNmiAlzfXE+FadaXFR83SCamvivC9CR9yiq3oohhCXVg8Vym69irlvjiEy9Tpc8zxB7dCYlpiaFifTUsWnBYiZHsrESA+lKEMk0+5gIL+eYMyADh5OIW4yHtPSJEzLkGG8wbS4RJDJKkwLdcQtlXnvFFZobbwUl2mJU5lkaVocjJ+gNtDgIg5DB7iDDVo95Na0EKYlRnoojhBXgpbBQaqHBGMG2ThMC00PRTAtfYWwZf0u4yVoqScm1MK0ZO2hijriDqh6yPweoo2J0rSYq/E45nKSCqgvtOqhGPcN4F7A0HvKlcajQUic9FCckmfRtAwOErQIxgzo4ORmWqr7rwDAJtIBzbVSE9QGk2lxla5W07SkSXrIaS7HmcQ5PGCKxFmXbeJovMRtE7f3kKA2pDXd2iCZlmx1pqUzVtASg2kh90q1XmaCaEjQIhgzoBNELKYlYvDYSNu2CuoKcxJxVXBVY1oyWnqodnM5qmlR++Ft/JPs5/RjEiHuUCIe0xLPs0nTtDiZljDAdtr4x9C0TOsMm6pGaekE1SFBi2DMgJo8xVmFRQ0eygVTMHKopmkJhbgDTA9FVA8VYjRMNL+fwhTeihC3vqCBrNm6Q8H0/XExLe1DkB5yMS0fOmpXJBLA/z26HKfuN4PdRhAPErQIxgyaaXrIUTFARZ9RPYVO3X8G7npuLd62YFr9DlAQoDmTRH+hHLlN3OqhYkTDRLbk2fibOuIWo6qHYglxTaZFUov1BP3NJ7U3sdvE1bTQQNi1gIlX8lzdpyWTSuLio3fHxUfvzr4viA8JWgRjBjrTUn0VFpUe+uq79sNxe03FyQslaBkKdDRn0F+ITsFpmpYso2lRtvqlsNFhvC7e5n78SWeg1UOsuVxMk0NBbaCpn0ntWXYb8zplnZqWcPpTTsgmKBvT0sRfS8rSuJgWQf0gT5RgzCAbQ9NCvR2iepaNa8ngzINnaSstQf3QzmhUTNAJiksPqWtcLHsDMpczuRbKtAQ2/pwjbiwbfwlahhL0N5/sClqM6xTHfl/1kzKhp4f4e1Z5+wBuTYugfpAnSjBmECdooW6ZUSXPgqFFnKBF17TY23NalFjVQybTQnoPKZM6tomjEchI9dDwg6Z+pjjSQ8lkQrvGrvQQ1TblHUwLDUJczGyOpDml0nDoIU+UYMxA82lxCOsopS+dVkcO8ZiWKpoWMhnlKr46cczlnF2eSZqJ92kxgpYYPi3iyVFf6JoWnmkB9IAyTiDhYlraCdNSdAQ2OcdnBUMDCVoEYwaaI65DiFutc7BgeMCVMJuopmmhbIgyAzTTQby5XET1kMNZF7DvF06sazviyhBbT9Dr4koPAfq942JaKHLFEvs63Y+rnccu4pg9rBDVkGDMQEsPOSaLaZ3Nwb/322XckB+TgEccwWKqGtNCJjBViWSmbNjeQw6mJV8qoyKNYe8fMz3gKotOJADP8/fh8qAR1IaUJsTl00NAJbgp+P+OxbRUGDYOf/zkUdjck8ecSXzQcup+M7Bsww4cOm9C1e8RDB4StAjGDOjg5FpdnXXobExqb8KMcS140+zxw3RkAhNzJlZvQqm8VwCeaaFBRH9lpWzKTNj0kPE3bbyowAUkJvvCMS2JRAKZVBL5Yln0LEOAEhG9RjEt6QEyLa70EADsW2Vxk0omcNlJe1b9DkF9IEGLYMwgjhC3OZPCafvPHK5DEjjwkWN2w5J13Thlv+nObahWoJVZLScSCTSlkhpDYjMt9n5N9iNO40PATj25hJlNErQMGbb1FoJ/d0awdakBalpc6SHB6IMELYIxgzgNEwWjA61NaXz/nIMjt6ETictmPZ1KIE/mm1jmcpZPCxO0MNGOJcR1BC0q4BERbv2xlQQtUak3zTnXoW8DgL2mdWDJ+m68Y19xqW0USNAiGDPQGyZK6WGjI1fFMRdQqZ0waqnFXI77DKeFSRlN71yTpko3SeBcf2zrzcfajl6aqLHg1xcfjkdf3YSTxPm6YSBBi2DMgFYMyYTR+IhD2Ztshsl+KKZFiWMBrnooafzNByOU7IlqAREELVI5VHfQ9FAUikQPFcW0TGxrknRxg0GeKsGYQRyfFkHjID7TEsJkSFTQQtNE1ZgWd7PNeH2rVMDcJGxf3aFK26uBiriFdR1bkJFdMGZAV1SiJ2h85BxmXhRm0GIGEyogoa+ad0Yc0zhAL9OO6lvVJOmhIcO7DtwFAPD2hW4BN6D3Eoq6VoLGg6SHBGMGakXVlBZ/jLGAqDJUBTMwcJnL0ZfNeyNJvFUAvlkiAOw+pT34t2sbAMik/f03SeBcd1zzzn1xwj5TcdxeUyO3K0b4rggaGxK0CMYMlBA3ji+DYGygGtOi0kV+oOJPZFwokU4mAp8WV0Cyx9QwaIlqASFC3KFDWzYdS4NC00OCsQV5qgRjBhK07HywmBYzPZRg0kNMvEFTCK7U4lziiLqxO+c8JhHijjxo52XB2II8VYIxg45KR9Y4zfgEYwPZakwLK8TlmiFSPZSr2Wa84VI0LSMPT4iWMQsZ3QVjBvvM6MClJ86XnkI7EZR+RMEyl6vEDZqmhdkP/ZzLyA7wS2S39ER7hSimRqqHBIL6Q5YCgjGDRCKBS0/cEyfsI0ZRYwGnH+BrF847Yq5zGzMFYxnFMekhziWXpoSiBLRzHU3z9H0lrX0KBIL6QJgWgUAwKvH1M/fHew+ZhcN2nejcxkzBmA0SVRAT5dNCtwOimZa9pnXgmRXbog4bGdFWCQRDBglaBALBqERzJoW3zp8SuQ3VmSQSthA30K9UIT10TYt748tP3guLl28N/EI4NIkQVyAYMkjQIhAIGhaUaeFcallzOYZq0auH3MHG5PYs7rvsmMhjCjUtErQIBPWGPFUCgaBhQVMwnFZFpYsoA+PyaVGIWyXkgvi0CARDB3mqBAJBw4KmYDimhcsOVdW0DNL2/cg9JmNcSwZv3nXSoPYjEAhsSHpIIBA0LCgrwrnUpjRHXFT+be9HSw8NkiF5x34zcMq+06WVhEAwBBCmRSAQNCyqaVp2ndyGPae14+SFYRn8gbMnWNultZLnwQ+LErAIBEMDYVoEAkHDggYtXDff5kwKf7r0aCQSCXzoyF1x9/Pr8OG37mptl0pGBz+CxoR0eB57EKZFIBA0LGh6yDVBKdZj/rQOfPrE+Wybh3Qd00OCkccXTt0HAPDfZ71pZA9EUHcI0yIQCBoWtHrINJYbCDRNi6zOGx4XvnU3nH3YHLRJH7Ixh4ZcUmzYsAEvvPACent7Y39m06ZNWLx4Mbq7u+u6X4FAMHLQ0kODsM2nhnKDLXkWjA5IwDI20VBPZz6fxwc+8AHMmTMHp59+OqZOnYof/ehHkZ/5xz/+gQ9+8IPYZ599cOihh+Kpp56qy34FAsHIQ0sPDYppIZoWCVoEglGLhno6r7nmGtx///1YunQpXn/9dfzkJz/BRz7yETYQUXjyySdx8skn4/HHH6/rfgUCwcijKYamJQ6opiWqYaJAIBhZNFTQ8uMf/xgXXnghZs+eDQA466yzsM8+++AnP/mJ8zMXXnghzjnnHGSz2bruVyAQjDz0kufah7O4DRMFAsHIomGezrVr12Lt2rU49NBDtdff/OY34+mnnx51+xUIBEMPGrRw5nJxUU8bf4FAMHQYUaXSG2+8gU2bNkVus99++yGbzWLz5s0AgEmTdGvsyZMnB+/Vglr3m8vlkMvlgr+7urpqPgaBQFAbqtn4x4XeMFHSQwLBaMWIBi3/93//hzvvvDNym9tuuw2zZs1CJpMBAC1QAIC+vr7gvVpQ636vvfZaXHXVVTV/r0AgGDyEaREIdi6MaNDypS99CV/60pdibTtr1iwkEgmsWbNGe33NmjWYM2dOzcdQ636vvPJKXHbZZcHfXV1dgSZGIBAMD6rZ+McFrR6SoEUgGL1omKezra0Nhx9+OO66667gtb6+Pvz1r3/FCSecELy2fPlyvPjii3Xfr4lsNovOzk7tP4FAMLyoV8lzWhPiSnpIIBitaCj3nauvvhpvf/vbsddee+GII47At771LYwfPx4f+chHtG0ef/xxvPDCCwB8zcrrr7+ODRs2AACWLFmC9vZ2zJw5EzNnzoy9X4FAMPpQr5LnVJ0bJgoEgqFBQz2dJ5xwAv70pz/hH//4B6666irMnj0bDz/8sMZyzJs3D/vuu2/w92OPPYZLLrkEX/ziF3HwwQfjRz/6ES655BL88Y9/HNB+BQLB6EO1holxIUyLQNAYaCimBQCOP/54HH/88c73v/CFL2h/n3baaTjttNMGvV+BQDD6UD9zOdG0CASNAHk6BQJBw6JuTEtKSp4FgkaABC0CgaBhQYOWwYQaKSl5FggaAvJ0CgSChgUNWsqeV/N+NE3LINoBCASCoYU8nQKBoGFBUznFcu1BC2VamtKSHhIIRiskaBEIBA0LKsQdBNEiTItA0CCQp1MgEDQsEsRQrjQopkWqhwSCRoA8nQKBYExgMEFLWtJDAkFDQIIWgUAwJlAaRH4oJekhgaAhIE+nQCAYExgU00J9WtIyLAoEoxXydAoEgjGBwZQ8az4tgzCpEwgEQwsJWgQCwZjAYJiWjAhxBYKGgDydAoFgTGBw1UPSMFEgaARI0CIQCMYE6qZpEaZFIBi1kKdTIBCMCdSrekiCFoFg9EKeToFAMCZQroNPSzIxuG7RAoFgaCFBi0AgGBMYHNPiD4VpYVkEglENeUIFAsGYQLlc+2cV09IkQYtAMKohT6hAIBgTqEf1UEYqhwSCUQ0JWgQCQUNjcnsTAOAtu0+qeR+KaZH0kEAwupEe6QMQCASCweDWjx2Ju55fi/e/eU7N+0hJekggaAhI0CIQCBoasye24pJjdh/UPsa1ZgAAnS2ZehySQCAYIkjQIhAIdnrsNa0D152xH/aZ0TnShyIQCCIgQYtAINjpkUgk8L7Dak8vCQSC4YEkcAUCgUAgEDQEJGgRCAQCgUDQEJCgRSAQCAQCQUNAghaBQCAQCAQNAQlaBAKBQCAQNAQkaBEIBAKBQNAQkKBFIBAIBAJBQ0CCFoFAIBAIBA0BCVoEAoFAIBA0BCRoEQgEAoFA0BAQG/86wfM8AEBXV9cIH4lAIBAIBI0FNXequdQFCVrqhO7ubgDA7NmzR/hIBAKBQCBoTHR3d2PcuHHO9xNetbBGEAvlchlr1qxBR0cHEonESB9ObHR1dWH27NlYuXIlOjt3ng63ct5y3jsD5Lx3rvMGGvfcPc9Dd3c3Zs6ciWTSrVwRpqVOSCaTmDVr1kgfRs3o7OxsqBu8XpDz3rkg571zYWc9b6Axzz2KYVEQIa5AIBAIBIKGgAQtAoFAIBAIGgIStOzkyGaz+NKXvoRsNjvShzKskPOW894ZIOe9c503MPbPXYS4AoFAIBAIGgLCtAgEAoFAIGgISNAiEAgEAoGgISBBi0AgEAgEgoaA+LTsZOju7sZzzz2HefPmYZdddtHeW79+PZYuXWp95sgjj7QM8zZv3ozXXnsNs2fPxvTp04f0mOuBQqGAxYsXY/LkyZg/fz67zY4dO/Dyyy9j8uTJmDdvXs3bjFa88cYbWLVqlfZac3MzDjnkEGvb1atXY+3atdh9990xYcKE4TrEIYHneXjppZdQLBaxcOFCpNNja9jbsWMHnn32Wev1Aw44AB0dHdprPT09ePnllzFx4kTsuuuuw3SE9cXGjRuxZMkSLFiwABMnTmS3WbNmDVavXo099tjDef/G2WY0YceOHfjHP/6BOXPmWM7r6jcxccQRRyCVSmmvbdmyBa+++ipmzZqFGTNmDOkxDwk8wU6BFStWeJdccok3ffp0L5PJeF//+tetbX70ox952WzWO/LII7X/crmctt2///u/e9ls1luwYIGXzWa9iy++2CuVSsN1KgPC9u3bvX//93/3Zs2a5bW3t3vnnXceu92NN97otbW1eXvttZfX1tbmnXzyyV53d/eAtxnN+OxnP+uNHz9eu7Znnnmmtk0+n/fe//73e83Nzd4+++zjNTc3e9ddd90IHfHgsWTJEm/vvff2pk6d6s2ePdvbZZddvEcffXSkD6uuePLJJz0A3uGHH65d2xdffFHb7uc//7nX3t7u7bnnnl57e7t34oknetu3bx+hox44nn/+ee/ss8/2pk2b5gHwbr31VmubQqHgnXPOOV5zc3MwPn3lK18Z8DajCatXr/Y+/vGPezNmzPCampq8q6++2trmF7/4hZfJZKyx2xyfrrrqKm3sPv/8871isThcp1IXSNCyk+Cvf/2r993vftfr6urypk2b5gxa5s6dG7mfW265xWtqavIee+wxz/M876WXXvI6Ojq87373u0Nx2IPGK6+84l1zzTXe2rVrvRNOOIENWl588UUvlUp5P//5zz3P87xNmzZ5u+++u/fRj350QNuMdnz2s5/1Tj755MhtrrnmGm/q1KneG2+84Xme5/35z3/2EomE99e//nU4DrHuOPDAA73TTz89GJg/8pGPeDNnzvT6+vpG+MjqBxW0bN261bnNyy+/7KXTae+nP/2p53met2XLFm/+/PneRRddNExHOXjcfPPN3i9/+Utv06ZNzqDluuuu8yZPnuy99tprnuf5414ymfT+9Kc/DWib0YSHHnrI+/a3v+1t27bNmzt3rjNomTZtWuR+/vjHP3rpdNp76KGHPM/zx8bx48d7//Vf/zUkxz1UkKBlJ0RU0DJ79mzv+eef91588UWLYfE8z3vHO97hnXbaadpr559/vnfwwQcP2fHWC66g5d/+7d+8efPmaa/dcMMNXnt7u5fP52NvM9rx2c9+1jvuuOO8p59+2lu6dCm7wtptt928yy+/XHvt8MMP9z7wgQ8M12HWDU8//bQHwHv88ceD11auXOklEgl2wmtUqKDlySef9J555hlvx44d1jaKbaT45je/6bW2tnr9/f3Ddah1QXd3tzNo2XPPPb1LL71Ue+2oo47yzjrrrAFtM1oRFbRMnTrVe+GFF7wXXniBvaZnnHGGd+KJJ2qvXXLJJd7ChQuH7HiHAiLEFWhYtWoVzjzzTJx66qmYNGkSvv3tb2vvP/PMMzj44IO11w477DA899xzKJfLw3modYPrnHbs2IFly5bF3qYR8NBDD+Hcc8/FW9/6VsyaNQt/+MMfgve6urrw2muvsef5zDPPDPehDhrqmA866KDgNZXHb8TzqYYzzjgDZ599NiZMmIBLL70UxWIxeM91//b29uKVV14Z7kMdEvT09OCVV16JvH/jbNOo2LBhA971rnfh9NNPx8SJE3HDDTdo77vugX/+85/I5XLDeaiDwthSpO1EWLt2LV599dXIbfbee29Mnjw59j732msvvPjii9hnn30AADfddBM++MEPYtddd8Xpp58OwBdxTZo0SfvcpEmTUCgUqrYUrwe2b9+O559/PnKbOXPmYM6cObH3uWXLFkuUqM5xy5YtsbcZbrz22mtYs2ZN5DYHHngg2traAADHHHMMPvvZz2LGjBkol8u4+uqrcfbZZ+Ppp5/GwoULg/Pgru9IneNgsGXLFnR2diKTyWivN+r5uDBhwgTcd999OOGEEwAATzzxBE444QRMmjQJ//Ef/wHA/y0WLlyofW6k7996Y+vWrQCi79842zQidt99dzz33HPYb7/9AAC///3v8Z73vAdz587Fe97zHgDusbtcLmPbtm2YNm3asB93LZCgpUHx2GOP4Rvf+EbkNldddVUwkMXBW9/6Vu3v97///fjhD3+Im2++OQhaMpkM+vv7te36+voAAE1NTbG/q1a89tpruOKKKyK3Oe+883DRRRfF3meccxrp8+Zw++234/e//33kNj/72c+wxx57AEBwDQG/K/kXv/hF/OAHP8Af/vAHLFy4MJjcufMcqXMcDLhrBjTu+biw++67Y/fddw/+Puyww/DhD38YN998cxC0jMb7t96Ic/+OtXtc4YgjjtD+fve73423ve1tuPnmm4OgZazcAxK0NCjOOOMMnHHGGUP+PdOmTcPq1auDv+fOnav9DfjlsZMnT0ZLS8uQH8+BBx6Ihx9+uK77dJ0TgICxibPNcOMzn/kMPvOZz9T8+UQigSlTpgTnMX36dGSzWfY8R+ocB4O5c+cin89j06ZNAeNYKpWwfv36hjyfgYB7bs1y95G+f+uNKVOmoLW1NfL+jbPNWMG0adO0MmjXGNbR0dEQJd8KomkRBOjp6dH+7u3txaOPPop99903eO2kk07CXXfdhVKpFLx2++2346STThq246w3TjrpJDz88MMBdQz457TffvsFlGmcbUY7zOu7YsUKLFmyJLi+qVQKxx13HO64445gm1wuh3vvvbchr+/RRx+NpqYm7Xz+9re/obu7uyHPxwXzugLAX/7yF+u5ffTRR7Fp06bgtdtvvx377LOP5dfUqEgmkzj++OO1653P53HPPfcE1zvONo0I8x7o7+/HokWLrHvgnnvu0bROt99+O0488cRhO866YKSVwILhQU9Pj7do0SJv0aJF3sSJE72Pf/zj3qJFizQvh5NPPtn7whe+4N15553ezTff7B1++OHe9OnTveXLlwfbrFq1yps8ebL33ve+17vjjju8Cy+80Gtvb7c8IUYT1Hkfcsgh3imnnOItWrTIe/LJJ4P3+/v7vX333dc76qijvFtvvdX78pe/7KVSKe/OO+8c0DajHQsXLvS+9rWveffcc4/305/+1Js/f7633377adUmTzzxhJfNZr1LL73Uu+OOO7xTTz3VmzVrlrd58+YRPPLa8R//8R/e+PHjvR/96Efer371K2/WrFneueeeO9KHVVd88pOf9D760Y96t9xyi3fbbbd5Z555ptfc3Ow98MADwTa5XM474IADvLe85S3erbfe6v3nf/6nl0qlvNtuu20Ej3xg2Lx5s7do0SLvz3/+swfA++pXv+otWrQoKF32PM976qmnvObmZu9Tn/qUd8cdd3j/8i//4s2cOdPbuHHjgLYZTejr6wvGsOnTp3sXXXSRt2jRIu/5558Ptjn99NO9K6+80rvjjju83/72t95b3/pWb8qUKd6yZcuCbdatW+dNnz7dO+OMM7w77rjD++hHP+q1tLR4zz777EicVs2QLs87CV5//XWcc8451utHHnkkrr/+egB+tP69730PDz30ENLpNA488EB86lOfssS1r732Gr72ta9h6dKlmDNnDi677LJAADYacdRRR1mvzZgxA7/73e+Cv7ds2YLrrrsOTz31FCZNmoSPfOQjlh4ozjajGRs3bsR3vvMdLF68GJ2dnXjLW96Cj3zkI1YL+yeffBLf/va3sWbNGuyzzz644oorMGvWrBE66sHB8zz87Gc/w+9//3sUi0WcfPLJ+MQnPmGJcxsZpVIJv/jFL3DPPfegp6cHe++9Nz75yU9i7ty52nZbt27F9ddfj8WLF2PixIm46KKLGopdWLRoEa688krr9fe+97341Kc+Ffz91FNP4Vvf+hZWr16NvffeG5/73Oes1E+cbUYLVq9ejbPOOst6/dBDD8V///d/A/C1Kd///vfx4IMPIpFI4IADDsCnPvUpyzF4+fLluP7667FkyRLMmjULl156KQ488MBhOY96QYIWgUAgEAgEDQHRtAgEAoFAIGgISNAiEAgEAoGgISBBi0AgEAgEgoaABC0CgUAgEAgaAhK0CAQCgUAgaAhI0CIQCAQCgaAhIEGLQCAQCASChoD0HhIIBDs9tm3bhnvvvReAbzx4zDHHRG5fLpfx29/+FgDQ1tamNaMUCARDB2FaBALBqIHnebj55puxfPnyYf3eN954A2effTZ++9vf4rHHHqu6falUwm233YZvfOMb+OQnPzkMRygQCAAJWgQCwShCqVTC2WefjUWLFo3I9//whz/EFVdcUXW7TCaDm2++GRdffPEwHJVAIFCQ9JBAIGgo/Pa3v0W5XEYqlcLcuXNx4IEHsr2ElixZgpdffhm777479tlnH/zud7/DSSedhEmTJsX+rkKhgMcffxxdXV044IADGrYHk0AwViBBi0AgaCjcfvvtKJVKKBaLeO6555DJZHDvvfdi9uzZwTZXX301vvKVr+Coo47C+vXrMXv2bNxzzz147LHHYgctq1atwjHHHIPW1lbstttueOGFF3Deeefhi1/84lCdmkAgqAIJWgQCQUPhV7/6VfDvcrmM9773vfjiF7+IG2+8EQDw8ssv48tf/jJuv/12nHbaafA8D+eee+6Av+cnP/kJpk+fjkceeST4rjvvvLM+JyEQCGqCaFoEAkHD4aWXXsIf//hH/Pa3v8WUKVPwxBNPBO/deuut2HPPPXHaaacBABKJBC6//PIBf0dLSws2b96M1atXAwCSyST+9V//tT4nIBAIaoIwLQKBoGHQ19eH008/Hc888wwOPfRQjBs3DitXrsSGDRuCbVauXIl58+ZpnzP/joOPfvSjePbZZzF//nwsWLAAJ510Ej7xiU9gl112GeRZCASCWiFMi0AgaBj84he/wNKlS7F8+XLce++9+M1vfoP3v//98Dwv2GbixInYtm2b9rmtW7cO+Ls6Ojpw0003YePGjfjqV7+KF154AYcccgh6enoGexoCgaBGSNAiEAgaBuvWrcMuu+yC9vb24LXf//732jZHHnkknnrqKaxatSp47fbbbx/wd6m0UFtbG972trfh29/+NtatWzfsHjICgSCEpIcEAsGow+OPP450Wh+ejjrqKJx22mm4+uqrcemll2LffffFrbfeimeffRapVCrY7pRTTsFb3vKWIJ2zfv16/PSnPwXg61vi4nvf+x4ee+wxvOMd78D48ePxq1/9Cvvvvz/23HPP+pykQCAYMIRpEQgEowbJZBJnnXUWNm3ahNtuu037b/Xq1TjooIOwaNEiFItFPPLIIzj11FPxhz/8AWeccYa2n7vvvhsXXHABFi9ejKamJtx2220A/JRPFG699VY8+OCDAIBrrrkG//Ef/4G1a9fi8ccfx7ve9S4sWrQI6XQa5XIZN998M5588skh+R0EAgGPhEeTwQKBQDAGsGXLFkycODH4+8c//jEuu+wybNq0CU1NTdb2y5cvx+c+9zkAwJve9KaqrriFQgHnnHMOAGDKlCn4zne+U8ejFwgELkjQIhAIxhw+9rGPIZFI4KCDDsLLL7+M7373u7j66qvx2c9+dqQPTSAQDAIStAgEgjGHfD6Pn/3sZ1i8eDEmTJiAU089FUcfffRIH5ZAIBgkJGgRCAQCgUDQEBAhrkAgEAgEgoaABC0CgUAgEAgaAhK0CAQCgUAgaAhI0CIQCAQCgaAhIEGLQCAQCASChoAELQKBQCAQCBoCErQIBAKBQCBoCEjQIhAIBAKBoCEgQYtAIBAIBIKGwP8HMrDF2rCJjw0AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from stingray.crosscorrelation import CrossCorrelation\n", "\n", "cross_corr = CrossCorrelation(\n", " lc1=stingray_lcs['1:g'],\n", " lc2=stingray_lcs['3:i'],\n", " )\n", "\n", "ax = cross_corr.plot(\n", " labels=['Lag [s]', 'Correlation'],\n", " )" ] }, { "cell_type": "markdown", "id": "eb2fadbd", "metadata": {}, "source": [ "We can see that the cross-correlation spectrum peaks at a non-zero lag. We can get the exact time lag from the `time_shift` attribute of the `CrossCorrelation` instance:" ] }, { "cell_type": "code", "execution_count": 24, "id": "2ff28660", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.548720Z", "iopub.status.busy": "2026-06-16T12:26:47.548653Z", "iopub.status.idle": "2026-06-16T12:26:47.550122Z", "shell.execute_reply": "2026-06-16T12:26:47.549861Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time lag: -4.00s\n" ] } ], "source": [ "print(f'Time lag: {cross_corr.time_shift:.2f}s')" ] }, { "cell_type": "markdown", "id": "6bc03897", "metadata": {}, "source": [ "We find a negative lag of about 4 s, meaning $i$ is lagging $g$ (as expected).\n", "\n", "When we generated this data, we were told that the $i$-band variability has a phase lag of 3.142 (i.e., $1 \\pi$) radians, while the $g$-band variability has a phase lag of 0 radians. We can convert this time lag into a phase lag by dividing it by the period of the variability:" ] }, { "cell_type": "code", "execution_count": 25, "id": "a5b58506", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.551044Z", "iopub.status.busy": "2026-06-16T12:26:47.550980Z", "iopub.status.idle": "2026-06-16T12:26:47.552454Z", "shell.execute_reply": "2026-06-16T12:26:47.552203Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Phase lag: -3.39 radians\n" ] } ], "source": [ "print(f'Phase lag: {2 * np.pi * cross_corr.time_shift / p_signal.to_value(u.s):.2f} radians')" ] }, { "cell_type": "markdown", "id": "cc4e239c", "metadata": {}, "source": [ "The phase lag is a little higher than expected, but this is due to the time resolution of our light curves.\n", "\n", "Cross-correlating generally works well, provided the light curves are dominated by the signal of interest. In many cases, however, light curves show variability on many time-scales, and we may want to isolate the lags of signals at specific frequencies. In such cases, it may be preferable to compute the cross-spectrum.\n", "\n", "#### Cross-spectra\n", "\n", "##### A Cautionary Tale\n", "\n", "To compute cross-spectra, we can use `stingray`'s `AveragedCrossspectrum` class:" ] }, { "cell_type": "code", "execution_count": 26, "id": "dc7360e5", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.553161Z", "iopub.status.busy": "2026-06-16T12:26:47.553097Z", "iopub.status.idle": "2026-06-16T12:26:47.595387Z", "shell.execute_reply": "2026-06-16T12:26:47.594916Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\r", "0it [00:00, ?it/s]" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\r", "8it [00:00, 18396.07it/s]" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n", "/home/zac/miniforge3/envs/phoptic7/lib/python3.14/site-packages/stingray/fourier.py:1766: UserWarning: n_ave is below 30. Please note that the error bars on the quantities derived from the cross spectrum are only reliable for a large number of averaged powers.\n", " warnings.warn(\n", "/home/zac/miniforge3/envs/phoptic7/lib/python3.14/site-packages/stingray/fourier.py:1800: RuntimeWarning: invalid value encountered in sqrt\n", " dphi = np.sqrt((1 - gsq) / (2 * gsq * n_ave))\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from stingray import AveragedCrossspectrum\n", "from matplotlib import pyplot as plt\n", "\n", "segment_size = 30 * u.s\n", "\n", "avg_cs = AveragedCrossspectrum.from_lightcurve(\n", " lc1=stingray_lcs['1:g'],\n", " lc2=stingray_lcs['3:i'],\n", " norm='frac',\n", " segment_size=segment_size.to_value(u.s), # stingray assumes all time values are in seconds\n", ")\n", "\n", "avg_cs_amplitude = np.abs(avg_cs.power)\n", "\n", "fig, ax = plt.subplots(tight_layout=True)\n", "\n", "ax.step(\n", " avg_cs.freq, # convert freq from cyc/d to Hz\n", " avg_cs_amplitude,\n", " where='mid',\n", " c='k',\n", ")\n", "\n", "ax.set_xlabel('Frequency [Hz]')\n", "ax.set_ylabel('Power [(frac. rms)$^2$ / Hz]')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5f1fc122", "metadata": {}, "source": [ "As we can see, the cross spectrum amplitude looks similar to the Lomb-Scargle periodograms we saw earlier, which is what we would expect. So far so good. Let's try to compute the coherence between these two light curves and check it's in the expected range ($0 \\leq \\text{coherence} \\leq 1$):" ] }, { "cell_type": "code", "execution_count": 27, "id": "6fcabe0b", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.596246Z", "iopub.status.busy": "2026-06-16T12:26:47.596178Z", "iopub.status.idle": "2026-06-16T12:26:47.597783Z", "shell.execute_reply": "2026-06-16T12:26:47.597503Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "False\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/zac/miniforge3/envs/phoptic7/lib/python3.14/site-packages/stingray/utils.py:492: UserWarning: SIMON says: Number of segments used in averaging is significantly low. The result might not follow the expected statistical distributions.\n", " warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n" ] } ], "source": [ "coh, coh_err = avg_cs.coherence()\n", "\n", "print(np.logical_and(coh >= 0, coh <= 1).all())" ] }, { "cell_type": "markdown", "id": "7d985924", "metadata": {}, "source": [ "Uh oh, we have unphysical coherence values! Let's take a look at some of them:" ] }, { "cell_type": "code", "execution_count": 28, "id": "22f3456c", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.598475Z", "iopub.status.busy": "2026-06-16T12:26:47.598410Z", "iopub.status.idle": "2026-06-16T12:26:47.599916Z", "shell.execute_reply": "2026-06-16T12:26:47.599629Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Coherence: 262213.4203728212, error: 0.125\n", "Coherence: 100564.33319550438, error: 0.125\n", "Coherence: 319021.37505371566, error: 0.125\n", "Coherence: 2710.173065650526, error: 0.125\n", "Coherence: 368492.96124993864, error: 0.125\n" ] } ], "source": [ "for i in range(5):\n", " print(f'Coherence: {coh[i]}, error: {coh_err[i]}')" ] }, { "cell_type": "markdown", "id": "0f9d4bb2", "metadata": {}, "source": [ "Our coherence estimates are in the thousands, and our error estimates in the *negative thousands*. Something is very wrong...\n", "\n", "The issue is due to `stingray` assuming Poisson statistics. Since we know the phase lag between these two light curves, let's see what happens if we try to compute it from the averaged cross spectrum:" ] }, { "cell_type": "code", "execution_count": 29, "id": "22bc3840", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.600550Z", "iopub.status.busy": "2026-06-16T12:26:47.600478Z", "iopub.status.idle": "2026-06-16T12:26:47.651602Z", "shell.execute_reply": "2026-06-16T12:26:47.651284Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plags, plags_err = avg_cs.phase_lag()\n", "\n", "fig, ax = plt.subplots(tight_layout=True)\n", "\n", "ax.errorbar(\n", " avg_cs.freq,\n", " plags,\n", " plags_err,\n", " fmt='kx',\n", ")\n", "\n", "ax.axvline(\n", " 0.135,\n", " c='red',\n", " label='Lag frequency'\n", " )\n", "ax.axhline(\n", " np.pi,\n", " c='blue',\n", " label='Expected lag'\n", " )\n", "ax.legend()\n", "\n", "ax.set_xlabel('Frequency [Hz]')\n", "ax.set_ylabel('Phase lag [rad]')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "367c021e", "metadata": {}, "source": [ "We get the correct phase lag at the correct frequency. However, we don't seem to have any error bars, and so it's impossible to quantify the significance of this lag. Let's see what our error bars are:" ] }, { "cell_type": "code", "execution_count": 30, "id": "53c5cb83", "metadata": { "execution": { "iopub.execute_input": "2026-06-16T12:26:47.652428Z", "iopub.status.busy": "2026-06-16T12:26:47.652359Z", "iopub.status.idle": "2026-06-16T12:26:47.653872Z", "shell.execute_reply": "2026-06-16T12:26:47.653610Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[nan nan nan nan nan nan nan nan nan nan nan nan nan nan]\n" ] } ], "source": [ "print(plags_err)" ] }, { "cell_type": "markdown", "id": "4256290a", "metadata": {}, "source": [ "Our errors are all `NaN`s! This is another consequence of our light curves not being Poissonian. For cross spectral analyses, `stingray` may therefore not be suitable. For power spectra, however, `stingray` can be used without issue provided a suitable normalisation is specified (e.g., `norm=\"frac\"`).\n", "\n", "That concludes the timing methods tutorial for `phoptic`! The timing methods of `Analyzer` demonstrated here are intended as \"quick-look\" analyses, while more complete analyses are made easy thanks to `stingray`. Note, however, that `stingray` may not always work as intended when applied to relative light curves." ] } ], "metadata": { "kernelspec": { "display_name": "opticam7", "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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 5 }