{ "cells": [ { "cell_type": "markdown", "id": "bdb48610", "metadata": {}, "source": [ "# EMRI Waveforms in Time and Frequency Domain\n", "\n", "In this tutorial, we demonstrate how to use the Fast EMRI Waveform package to produce waveforms in the time domain (TD) as described in [arXiv 2104.04582](https://arxiv.org/abs/2104.04582) and in the frequency domain (FD) as described in [arXiv 2307.12585](https://arxiv.org/abs/2307.12585). We explore the representation of EMRI waveforms in both domains using a reference source. We compare the TD and FD waveforms using mismatch and estimate the waveform generation speed. Additionally, we explore the impact of spin and eccentricity on the waveform signal-to-noise ratio. Finally, we demonstrate mass invariance and downsampling using the Frequency Domain.\n", "\n", "Created by Lorenzo Speri" ] }, { "cell_type": "code", "execution_count": 32, "id": "348daf55", "metadata": {}, "outputs": [], "source": [ "import time\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from few.waveform import GenerateEMRIWaveform\n", "from few.utils.constants import MTSUN_SI\n", "from few.utils.utility import get_p_at_t\n", "from few.utils.geodesic import get_fundamental_frequencies\n", "from few.utils.fdutils import GetFDWaveformFromFD, GetFDWaveformFromTD\n", "from few.trajectory.inspiral import EMRIInspiral\n", "from few.trajectory.ode.flux import KerrEccEqFlux\n", "\n", "from scipy.interpolate import CubicSpline\n", "from few import get_file_manager\n", "\n", "# produce sensitivity function\n", "traj_module = EMRIInspiral(func=KerrEccEqFlux)\n", "\n", "# import ASD\n", "data = np.loadtxt(get_file_manager().get_file(\"LPA.txt\"), skiprows=1)\n", "data[:, 1] = data[:, 1] ** 2\n", "# define PSD function\n", "get_sensitivity = CubicSpline(*data.T)\n", "\n", "\n", "# define inner product [eq 3 of https://www.nature.com/articles/s41550-022-01849-y]\n", "def inner_product(x, y, psd):\n", " return 4 * np.real(np.sum(np.conj(x) * y / psd))\n", "\n" ] }, { "cell_type": "code", "execution_count": 33, "id": "15c08219-56eb-430d-b19e-e012b5c59cc7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "58249" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Initialize waveform generators\n", "# frequency domain generator\n", "few_gen = GenerateEMRIWaveform(\n", " \"FastKerrEccentricEquatorialFlux\",\n", " sum_kwargs=dict(pad_output=True, output_type=\"fd\", odd_len=True),\n", " return_list=True,\n", ")\n", "\n", "# time domain generator\n", "td_gen = GenerateEMRIWaveform(\n", " \"FastKerrEccentricEquatorialFlux\",\n", " sum_kwargs=dict(pad_output=True, odd_len=True),\n", " return_list=True,\n", ")\n", "\n", "# Trick to share waveform generator between both few_gen and td_gen (and reduce\n", "# memory consumption)\n", "td_gen.waveform_generator.amplitude_generator = few_gen.waveform_generator.amplitude_generator\n", "\n", "import gc\n", "gc.collect()" ] }, { "cell_type": "code", "execution_count": 34, "id": "a2779c4c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "New p0: 8.550184244535393\n" ] } ], "source": [ "# define the injection parameters\n", "m1 = 0.5e6 # central object mass (solar masses)\n", "a = 0.9 # dimensionless spin parameter for the primary - will be ignored in Schwarzschild waveform\n", "m2 = 10.0 # secondary object mass (solar masses)\n", "p0 = 12.0 # initial dimensionless semi-latus rectum \n", "e0 = 0.1 # eccentricity\n", "\n", "x0 = 1.0 # initial cos(inclination) - will be ignored in Schwarzschild waveform\n", "qK = np.pi / 3 # polar spin angle\n", "phiK = np.pi / 3 # azimuthal viewing angle\n", "qS = np.pi / 3 # polar sky angle\n", "phiS = np.pi / 3 # azimuthal viewing angle\n", "dist = 1.0 # luminosity distance (Gpc)\n", "\n", "# initial phases\n", "Phi_phi0 = np.pi / 3\n", "Phi_theta0 = 0.0\n", "Phi_r0 = np.pi / 3\n", "\n", "Tobs = 0.5 # observation time (years), if the inspiral is shorter, the it will be zero padded\n", "dt = 5.0 # time interval (seconds)\n", "mode_selection_threshold = 1e-4 # relative threshold for mode inclusion: only modes making a relative contribution to\n", " # the total power above this threshold will be included in the waveform.\n", "\n", "waveform_kwargs = {\n", " \"T\": Tobs,\n", " \"dt\": dt,\n", " \"mode_selection_threshold\": mode_selection_threshold,\n", "}\n", "\n", "# get the initial p0 required for an inspiral of length Tobs, given the fixed values of the other parameters\n", "p0 = get_p_at_t(\n", " traj_module,\n", " Tobs * 0.999,\n", " [m1, m2, a, e0, 1.0], # list of trajectory arguments, with p removed\n", " index_of_p=3, # index where to insert the new p values in the above traj_args list when traj_module is called \n", " index_of_a=2, # index of a in the list of trajectory arguments when calling traj_module\n", " index_of_e=4, # etc...\n", " index_of_x=5,\n", " traj_kwargs={},\n", " xtol=2e-12, # absolute tolerance for the brentq root finder\n", " rtol=8.881784197001252e-16, # relative tolerance for the brentq root finder\n", " bounds=None,\n", ")\n", "print(\"New p0: \", p0)\n", "\n", "emri_injection_params = [\n", " m1,\n", " m2,\n", " a,\n", " p0,\n", " e0,\n", " x0,\n", " dist,\n", " qS,\n", " phiS,\n", " qK,\n", " phiK,\n", " Phi_phi0,\n", " Phi_theta0,\n", " Phi_r0,\n", "]" ] }, { "cell_type": "markdown", "id": "54f0a0e4", "metadata": {}, "source": [ "## Comparing Time and Frequency domain waveforms" ] }, { "cell_type": "code", "execution_count": 35, "id": "1274f17f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time taken to generate the TD signal: 1.0497360229492188 seconds\n" ] } ], "source": [ "# generate the TD signal, and time how long it takes\n", "start = time.time()\n", "data_channels_td = td_gen(*emri_injection_params, **waveform_kwargs) # Returns 2 arrays containing the plus and cross polarizations\n", "end = time.time()\n", "print(\"Time taken to generate the TD signal: \", end - start, \"seconds\")\n", "\n", "# take the FFT of the plus polarization and shift it\n", "fft_TD = np.fft.fftshift(np.fft.fft(data_channels_td[0])) * dt\n", "freq = np.fft.fftshift(np.fft.fftfreq(len(data_channels_td[0]), dt))\n", "\n", "# define the positive frequencies\n", "positive_frequency_mask = freq >= 0.0" ] }, { "cell_type": "code", "execution_count": 36, "id": "d85e84b8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.loglog(freq[positive_frequency_mask], np.abs(fft_TD[positive_frequency_mask]) ** 2)\n", "plt.loglog(\n", " freq[positive_frequency_mask], get_sensitivity(freq[positive_frequency_mask])\n", ")\n", "plt.ylabel(r\"$| {\\rm DFT} [h_{+}]|^2$\")\n", "plt.xlabel(r\"$f$ [Hz]\")\n", "plt.xlim(1e-4, 1e-1)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 37, "id": "a9025a56", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time taken to generate the FD signal: 1.7347629070281982 seconds\n", "mismatch 0.0003769766918213513\n", "TD SNR 59.741832155263346\n", "FD SNR 59.741228125700395\n" ] } ], "source": [ "# you can specify the frequencies or obtain them directly from the waveform\n", "fd_kwargs = waveform_kwargs.copy()\n", "fd_kwargs[\"f_arr\"] = freq # frequencies at which to output the waveform (optional)\n", "fd_kwargs[\"mask_positive\"] = True # only output FD waveform at positive frequencies\n", "\n", "# generate the FD signal directly, and time how long it takes\n", "start = time.time()\n", "hf = few_gen(*emri_injection_params, **fd_kwargs)\n", "end = time.time()\n", "print(\"Time taken to generate the FD signal: \", end - start, \"seconds\")\n", "\n", "# to get the frequencies:\n", "freq_fd = few_gen.waveform_generator.create_waveform.frequency\n", "\n", "# calculate the mismatch between the FFT'd TD waveform and the direct FD waveform:\n", "psd = get_sensitivity(freq[positive_frequency_mask]) / np.diff(freq)[0]\n", "td_td = inner_product(\n", " fft_TD[positive_frequency_mask], fft_TD[positive_frequency_mask], psd\n", ")\n", "fd_fd = inner_product(hf[0], hf[0], psd)\n", "Mism = np.abs(\n", " 1\n", " - inner_product(fft_TD[positive_frequency_mask], hf[0], psd)\n", " / np.sqrt(td_td * fd_fd)\n", ")\n", "print(\"mismatch\", Mism)\n", "\n", "# SNR\n", "print(\"TD SNR\", np.sqrt(td_td))\n", "print(\"FD SNR\", np.sqrt(fd_fd))" ] }, { "cell_type": "code", "execution_count": 38, "id": "b1798432", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# FD plot\n", "plt.figure()\n", "plt.loglog(\n", " freq[positive_frequency_mask],\n", " np.abs(fft_TD[positive_frequency_mask]) ** 2,\n", " label=\"DFT of TD waveform\",\n", ")\n", "plt.loglog(freq[positive_frequency_mask], np.abs(hf[0]) ** 2, \"--\", label=\"FD waveform\")\n", "plt.loglog(\n", " freq[positive_frequency_mask],\n", " get_sensitivity(freq[positive_frequency_mask]),\n", " \"k:\",\n", " label=\"LISA sensitivity\",\n", ")\n", "plt.ylabel(r\"$| \\tilde{h}_{+} (f)|^2$\", fontsize=16)\n", "plt.grid()\n", "plt.xlabel(r\"$f$ [Hz]\", fontsize=16)\n", "plt.legend()\n", "plt.ylim([0.5e-41, 1e-32])\n", "plt.xlim([1e-4, 1e-1])\n", "plt.show()\n", "# plt.savefig('figures/FD_TD_frequency.pdf', bbox_inches='tight')" ] }, { "cell_type": "markdown", "id": "0cf9f3d7", "metadata": {}, "source": [ "In the following example we transform the FD waveform to the time domain, and compare to the directly generated TD waveform:" ] }, { "cell_type": "code", "execution_count": 39, "id": "46335af4", "metadata": {}, "outputs": [], "source": [ "# regenerate the FD waveform, outputting the negative frequencies too this time\n", "fd_kwargs_temp = waveform_kwargs.copy()\n", "fd_kwargs_temp[\"f_arr\"] = freq\n", "fd_kwargs_temp[\"mask_positive\"] = False # do not mask the positive frequencies\n", "\n", "hf_temp = few_gen(*emri_injection_params, **fd_kwargs_temp)\n", "\n", "# check the consistency with the previous masked waveform\n", "assert np.sum(hf_temp[0][positive_frequency_mask] - hf[0]) == 0.0\n", "\n", "# transform FD waveform to TD\n", "hf_to_ifft = np.append(\n", " hf_temp[0][positive_frequency_mask], hf_temp[0][~positive_frequency_mask]\n", ")" ] }, { "cell_type": "code", "execution_count": 40, "id": "4c3ad8c5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the waveforms in the time domain\n", "plt.figure()\n", "time_array = np.arange(0, len(data_channels_td[0])) * dt\n", "plt.plot(time_array, data_channels_td[0].real, label=\"TD waveform\")\n", "ifft_fd = np.fft.ifft(hf_to_ifft / dt)\n", "plt.plot(time_array, ifft_fd.real, \"--\", label=\"Inverse DFT (FD waveform)\")\n", "plt.ylabel(r\"$h_{+}(t)$\")\n", "plt.xlabel(r\"$t$ [s]\")\n", "\n", "t0 = time_array[-1] * 0.7\n", "space_t = 10e3\n", "plt.xlim([t0, t0 + space_t / 2])\n", "plt.ylim([-4e-22, 6e-22])\n", "plt.legend(loc=\"upper center\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "258c0f89", "metadata": {}, "source": [ "In the following example we generate a downsampled FD waveform using the \"f_arr\" argument:" ] }, { "cell_type": "code", "execution_count": 41, "id": "e3d46791", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time taken to generate the FD signal: 0.24352598190307617 seconds\n", "freq_fd (1001,) h shape (1577908,)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# construct downsampled frequency array\n", "df = np.diff(freq)[0]\n", "fmin, fmax = df, freq.max()\n", "fmin, fmax = 1e-3, 5e-2\n", "num_pts = 500\n", "p_freq = np.append(0.0, np.linspace(fmin, fmax, num_pts))\n", "freq_temp = np.hstack((-p_freq[::-1][:-1], p_freq))\n", "\n", "# populate kwarg dictionary\n", "fd_kwargs_ds = waveform_kwargs.copy()\n", "fd_kwargs_ds[\"f_arr\"] = freq_temp\n", "fd_kwargs_ds[\"mask_positive\"] = False\n", "\n", "# get FD waveform with downsampled frequencies\n", "hf_ds = few_gen(*emri_injection_params, **fd_kwargs_ds)\n", "hf = few_gen(*emri_injection_params, **fd_kwargs)\n", "\n", "# time the generation of the FD signal\n", "start = time.time()\n", "hf_ds = few_gen(*emri_injection_params, **fd_kwargs_ds)\n", "end = time.time()\n", "print(\"Time taken to generate the FD signal: \", end - start, \"seconds\")\n", "\n", "# to get the frequencies:\n", "freq_fd = few_gen.waveform_generator.create_waveform.frequency\n", "\n", "# freq_temp = freq_temp[freq_temp>=0.0]\n", "print(\"freq_fd\", freq_fd.shape, \"h shape\", hf[0].shape)\n", "\n", "# FD plot\n", "plt.figure()\n", "plt.loglog(freq[positive_frequency_mask], np.abs(hf[0])**2, \"-\", label=\"FD waveform\")\n", "plt.loglog(freq_fd, np.abs(hf_ds[0])**2, \"--\", label=\"FD waveform Downsample\")\n", "plt.plot(freq_temp, get_sensitivity(freq_temp), \"k:\", label=\"LISA sensitivity\")\n", "plt.ylabel(r\"$| \\tilde{h}_{+} (f)|^2$\", fontsize=16)\n", "plt.grid()\n", "plt.xlabel(r\"$f$ [Hz]\", fontsize=16)\n", "plt.legend(loc=\"upper left\")\n", "plt.ylim([0.5e-41, 1e-32])\n", "plt.xlim([1e-4, 5e-2])\n", "plt.show()\n", "# plt.savefig('figures/FD_TD_frequency.pdf', bbox_inches='tight')" ] }, { "cell_type": "markdown", "id": "08df2d59", "metadata": {}, "source": [ "## FD utilities and windowing\n", "\n", "The generation of FD waveforms using a given choice of waveform generator (either TD or FD) can be simplified using the `GetFDWaveformFromTD` and `GetFDWaveformFromFD` classes from the utilities module. These classes allow one to easily specify a choice of window function to use, as illustrated by the following example:" ] }, { "cell_type": "code", "execution_count": 42, "id": "fc5d4585", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " ***** No window ***** \n", "mismatch 0.00037697669182157334\n", "TD SNR 59.741832155263346\n", "FD SNR 59.74122812570041\n", "\n", "\n", " ***** With window ***** \n", "mismatch 0.00014232836326399934\n", "TD SNR 59.536970704688024\n", "FD SNR 59.55122751717226\n" ] } ], "source": [ "from scipy.signal.windows import tukey\n", "\n", "fd_kwargs_nomask = fd_kwargs.copy()\n", "del fd_kwargs_nomask[\"mask_positive\"]\n", "\n", "# no windowing\n", "window = np.ones(len(data_channels_td[0])) \n", "fft_td_gen = GetFDWaveformFromTD(td_gen, positive_frequency_mask, dt, window=window) # generate an FD waveform by FFT'ing a TD waveform\n", "fd_gen = GetFDWaveformFromFD(few_gen, positive_frequency_mask, dt, window=window) # generate an FD waveform directly using an FD generator\n", "\n", "np.all(fd_gen(*emri_injection_params, **fd_kwargs_nomask)[0] == hf[0])\n", "\n", "hf = fd_gen(*emri_injection_params, **fd_kwargs_nomask)\n", "fft_TD = fft_td_gen(*emri_injection_params, **fd_kwargs_nomask)\n", "\n", "# calculate SNRs and mismatch\n", "psd = get_sensitivity(freq[positive_frequency_mask]) / np.diff(freq)[0]\n", "td_td = inner_product(fft_TD[0], fft_TD[0], psd)\n", "fd_fd = inner_product(hf[0], hf[0], psd)\n", "Mism = np.abs(1 - inner_product(fft_TD[0], hf[0], psd) / np.sqrt(td_td * fd_fd))\n", "\n", "print(\" ***** No window ***** \")\n", "print(\"mismatch\", Mism)\n", "print(\"TD SNR\", np.sqrt(td_td))\n", "print(\"FD SNR\", np.sqrt(fd_fd))\n", "\n", "\n", "# add windowing\n", "window = np.asarray(tukey(len(data_channels_td[0]), 0.01)) \n", "fft_td_gen = GetFDWaveformFromTD(td_gen, positive_frequency_mask, dt, window=window)\n", "fd_gen = GetFDWaveformFromFD(few_gen, positive_frequency_mask, dt, window=window)\n", "\n", "hf_win = fd_gen(*emri_injection_params, **fd_kwargs_nomask)\n", "fft_TD_win = fft_td_gen(*emri_injection_params, **fd_kwargs_nomask)\n", "\n", "# calculate SNRs and mismatch\n", "psd = get_sensitivity(freq[positive_frequency_mask]) / np.diff(freq)[0]\n", "td_td = inner_product(fft_TD_win[0], fft_TD_win[0], psd)\n", "fd_fd = inner_product(hf_win[0], hf_win[0], psd)\n", "Mism = np.abs(1 - inner_product(fft_TD_win[0], hf_win[0], psd) / np.sqrt(td_td * fd_fd))\n", "\n", "print(\"\\n\\n ***** With window ***** \")\n", "print(\"mismatch\", Mism)\n", "print(\"TD SNR\", np.sqrt(td_td))\n", "print(\"FD SNR\", np.sqrt(fd_fd))" ] }, { "cell_type": "code", "execution_count": 43, "id": "23becf56", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# FD plot\n", "plt.figure(figsize=(6, 9))\n", "plt.subplot(2,1,1)\n", "plt.title(\"Unwindowed\", fontsize=16)\n", "plt.loglog(\n", " freq[positive_frequency_mask], np.abs(fft_TD[0]) ** 2, label=\"DFT of TD waveform\"\n", ")\n", "plt.loglog(freq[positive_frequency_mask], np.abs(hf[0]) ** 2, \"--\", label=\"FD waveform\")\n", "plt.loglog(\n", " freq[positive_frequency_mask],\n", " get_sensitivity(freq[positive_frequency_mask]),\n", " \"k:\",\n", " label=\"LISA sensitivity\",\n", ")\n", "plt.ylabel(r\"$| \\tilde{h}_{+}(f)|^2$\", fontsize=16)\n", "plt.xlabel(r\"$f$ [Hz]\", fontsize=16)\n", "plt.legend(loc='upper left')\n", "plt.grid()\n", "plt.ylim([0.5e-41, 1e-32])\n", "plt.xlim([1e-4, 1e-1])\n", "#plt.show()\n", "# plt.savefig('figures/FD_TD_frequency_windowed.pdf', bbox_inches='tight')\n", "\n", "plt.subplot(2,1,2)\n", "plt.title(\"Windowed\", fontsize=16)\n", "plt.loglog(\n", " freq[positive_frequency_mask], np.abs(fft_TD_win[0]) ** 2, label=\"DFT of TD waveform\"\n", ")\n", "plt.loglog(freq[positive_frequency_mask], np.abs(hf_win[0]) ** 2, \"--\", label=\"FD waveform\")\n", "plt.loglog(\n", " freq[positive_frequency_mask],\n", " get_sensitivity(freq[positive_frequency_mask]),\n", " \"k:\",\n", " label=\"LISA sensitivity\",\n", ")\n", "plt.ylabel(r\"$| \\tilde{h}_{+}(f)|^2$\", fontsize=16)\n", "plt.xlabel(r\"$f$ [Hz]\", fontsize=16)\n", "plt.legend(loc='upper left')\n", "plt.grid()\n", "plt.ylim([0.5e-41, 1e-32])\n", "plt.xlim([1e-4, 1e-1])\n", "plt.gcf().tight_layout()\n" ] }, { "cell_type": "markdown", "id": "c244ddac", "metadata": {}, "source": [ "# Signal to noise ratio as a function of eccentricity and spin" ] }, { "cell_type": "code", "execution_count": 44, "id": "71486c23", "metadata": {}, "outputs": [], "source": [ "def calculate_snr_mismatch(\n", " mode,\n", " emri_injection_params,\n", " waveform_kwargs,\n", " fd_kwargs,\n", " freq,\n", " positive_frequency_mask,\n", " dt,\n", "):\n", " # Update fd_kwargs and td_kwargs with the current mode\n", " fd_kwargs = fd_kwargs.copy()\n", " fd_kwargs.pop(\"mode_selection_threshold\")\n", " fd_kwargs[\"mode_selection\"] = [mode]\n", " hf_mode = few_gen(*emri_injection_params, **fd_kwargs)\n", "\n", " td_kwargs2 = waveform_kwargs.copy()\n", " td_kwargs2.pop(\"mode_selection_threshold\")\n", " td_kwargs2[\"mode_selection\"] = [mode]\n", " data_channels_td_mode = td_gen(*emri_injection_params, **td_kwargs2)\n", "\n", " # Take the FFT of the plus polarization and shift it\n", " fft_TD_mode = np.fft.fftshift(np.fft.fft(data_channels_td_mode[0])) * dt\n", "\n", " # Calculate PSD\n", " psd = get_sensitivity(freq[positive_frequency_mask]) / np.diff(freq)[0]\n", "\n", " # Calculate inner products\n", " td_td = inner_product(\n", " fft_TD_mode[positive_frequency_mask], fft_TD_mode[positive_frequency_mask], psd\n", " )\n", " fd_fd = inner_product(hf_mode[0], hf_mode[0], psd)\n", " Mism = np.abs(\n", " 1\n", " - inner_product(fft_TD_mode[positive_frequency_mask], hf_mode[0], psd)\n", " / np.sqrt(td_td * fd_fd)\n", " )\n", "\n", " # calculated frequency\n", " OmegaPhi, OmegaTheta, OmegaR = get_fundamental_frequencies(\n", " emri_injection_params[2],\n", " emri_injection_params[3],\n", " emri_injection_params[4],\n", " emri_injection_params[5],\n", " )\n", " harmonic_frequency = (OmegaPhi * mode[1] + OmegaTheta * mode[2] + OmegaR * mode[3]) / (\n", " emri_injection_params[0] * MTSUN_SI * 2 * np.pi\n", " )\n", " return np.sqrt(td_td), Mism, harmonic_frequency\n", "\n", "\n", "# Initialize data storage\n", "data_out = []\n", "\n", "# mode vector\n", "eccentricity_vector = [0.1, 0.3, 0.7]\n", "max_n_vector = [10, 18, 26]\n", "spin_vector = [0.0, 0.9]\n", "\n", "for a in spin_vector:\n", " for l_set, m_set in zip([2], [2]):\n", " temp = emri_injection_params.copy()\n", " for e_temp, max_n in zip(eccentricity_vector, max_n_vector):\n", " modes = [(l_set, m_set, 0, ii) for ii in range(-3, max_n)]\n", " p_temp = get_p_at_t(\n", " traj_module,\n", " Tobs * 0.99,\n", " [m1, m2, a, e_temp, 1.0],\n", " index_of_p=3,\n", " index_of_a=2,\n", " index_of_e=4,\n", " index_of_x=5,\n", " traj_kwargs={},\n", " xtol=2e-12,\n", " rtol=8.881784197001252e-16,\n", " bounds=None,\n", " )\n", " temp[3] = p_temp\n", " temp[4] = e_temp\n", " temp[2] = a\n", " out = np.asarray(\n", " [\n", " calculate_snr_mismatch(\n", " mode,\n", " temp,\n", " waveform_kwargs,\n", " fd_kwargs,\n", " freq,\n", " positive_frequency_mask,\n", " dt,\n", " )\n", " for mode in modes\n", " ]\n", " )\n", " snr, Mism, harmonic_frequency = out.T\n", " data_out.append((harmonic_frequency, snr, l_set, m_set, e_temp, a))" ] }, { "cell_type": "code", "execution_count": 45, "id": "d289715c", "metadata": {}, "outputs": [ { "data": { "image/png": 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HyMnJqXCfN27cAAA0b95c47PmzZurPldu6+DgAGdnZ43tyqYFAHFxcQgPD4eVlRW2bduGH3/8Eba2tujevbtRKjg3btzQmWcA+Oeff9TC79+/D1tbW3C5XNSvXx8zZ85EcXFxlfJQleulNrm5ubh69arG76sq50Vl6ToveDweGjdurHFe+Pv7a7xg1XZeGHKPN1RxcTHu37+v87woLi7We8xERQx5VgD0uxb+8ccf6Nu3LywtLbF7924sW7YMP/74o6rCrI+MjAy89957eP/993Hw4EEMGjQI8+fPx6effmqUcivp81zz999/IywsDEVFRdi2bRu++eYbXL16FQsWLNBIrzrOC6lUij59+qBbt244ePAgxo4di5UrV2LJkiXlxrt//z6Ki4t1nkf37t3Ta+xpZa45LBYLn3zyCRISEnD37l21z7Zv3468vDxV5aaoqAidO3fGtm3bMHnyZPz666/44osvEBsbiz59+qg9S9y/fx/Dhg3DDz/8gMOHD2PcuHFYtmwZPvzwQ408aLs/pqamomfPnuDz+di6dSuOHj2KxYsXw8LCAhKJpMLvQsWQZp6srCymQ4cODAAGAMPj8Zj27dszixYtYvLz89W2LdtU9vvvvzMAmLVr1zIMU363tD179jBSqZQpKipi/vzzT8bPz48JCAhQ68qii7JJNSoqSi1c2bwdFxfHMAzDpKWlMVwul/nkk0/UtsvPz2ecnZ3VmpRHjRrFAGC2bt2q13fUvXt3xt3dXa2JkWEY5uOPP2bMzMyYnJwcrfFkMhkjlUqZcePGMa1atVKFnz59mgHAzJw5s9z9enl5MWZmZszDhw9VYcXFxYytrS3z4YcflhtXeTyaNWum1qx/6dIlBgCza9cunXFlMhlTUFDAWFhYMKtXr1aFf//99wwAZuTIkRpxOnfuzABgLl++rArLzs5mOBwOIxQKmSdPnqjCk5KSGADMmjVrVGHt2rVjHB0d1c45mUzGNG3alHF3d1d1fVPmYeLEiWr7X7p0KQOASU9PV8tT586dVX9v376dAcB8++23OsuuS0REBNO4cWONcGV+Xj3v+vXrxwBgYmJi1MJbtmzJBAYGVrg/5fd58eJFtfCAgACme/fuGtt/++23DADm5s2b5aar/E3q8y8lJaXctPbs2cMAYC5cuFBhea5du8YIhUKmf//+FW7LMKXdHpycnJi8vDxVWEZGBsNms5lFixZpbP/+++8zTk5OFaarvJ48f/5cFXbz5k2t59TFixcZAMyMGTNUYcrj8scff+hVDuW1Zt++faowqVTKODg4MACYq1evqsKVv5epU6fqTK+8bmnKslX079XuMzExMUxMTAxz7Ngx5tixY8zMmTMZc3NzpnHjxhr3gFcpr8Pnz5/X+OyDDz5g+Hy+6u+wsDDGz89Pazp8Pp/54IMPGIYp7cZga2vL9O7dW20buVzOtGjRQq3bmEKhYKRSqdq/Tp06MSNHjtQIL4vH42m9hp47d06ji9TMmTOZDRs2MMePH2eOHDnCfPzxxwyXy2U6deqk0XVbX1W9Xmrz/vvvM1wuVy1NhvnvHKzoX9lr5asM7Za2YMECjeuxUnh4ONOoUSPV3w0bNtR6TXv69CkDQNWN0ZB7vLbzwsvLi5k9e7bO8+LJkycMAK3Xl507d2p0Yyyrqt3SdD0rMIz+18Lg4GDG1dWVKS4uVoXl5eUxtra2eh075Tl58OBBtfAJEyYwbDZb7TkEr3RL09X1TXl/LHsv0fe55t1332UsLCzUrtVyuZwJCAhQS9OQ80Ib5T3xxIkTqjDlb+bHH39U27ZHjx46r2FKyi652p6xFi5cyABgnj59Wm4aVbnm5OXlMZaWlsynn36qFh4QEMCEhoaq/l60aBHDZrOZv/76S227vXv3anQdLUsulzNSqZTZvn07w+Fw1J5/dd0flWkmJSWVm/eKGDShgJ2dHc6cOYPLly/jjz/+wOXLl3Hy5ElMnz4dmzZtwl9//QV7e3uNeN26dUN4eDjmzZuHUaNGlbuPIUOGqP3t4uKCc+fOGTQ46v3331f7e/DgwRg1ahROnDiB999/H7/99htkMhlGjhyp9tbZzMwMnTt3xokTJzTSHDhwYIX7FYvF+OOPP/DRRx/B3NxcLe0ePXpg3bp1uHDhAiIiIgAAP/30E1atWoVr166pNe2ZmZmp/v/XX38FALXmQV1atmwJT09PtXQaNWqk0WVMl549e4LD4aj+Vr5NKBu/oKAA0dHR2LdvH1JTU9Xe4N28eVMjTV3fm4uLC1q3bq3629bWFo6OjvD29oarq6sq3N/fXy0PhYWFuHjxIj766COIRCLVdhwOByNGjMAXX3yB27dvq83e1KdPH7V9ly3Xq2+GlX799VeYmZmV241Il6dPn2rtCqL06qx2/v7++Pnnn9GzZ0+N8FcH0+ri7Oys6sql1Lx5cyQlJWlsq8zbkydPyp3lqnXr1vjrr7/02n/ZY6aN8k1yed8LUNoy2KtXL3h4eOC7777Ta98AEBoaqpqkACjtSubo6Kj13Hd0dERmZiZkMpnWLrblUV4bXp2FrG3btvD398cff/yh9rawXr16Bg3YZrFY6NGjh+pvLpeLBg0agMvlolWrVqpw5e9F39/2qz744AO9Zld8dRKFqKgotb/DwsLQqlUrDBo0CN9++63G59romiDi1fDyJpJQfnbu3Dnk5ORg1KhRGi2I77zzDpYuXYrCwkJYWFjg1KlTWlsOT58+rfEGPCUlRW1GK33yAgDz589X+6xHjx7w9vbGtGnTcPDgQfTv319nOuWp7PVSm9mzZ2PHjh1Yu3atWppAaZehjz/+uML8lP2tGYsxzwtD7vHbtm3T6BIHANHR0YiOjlYLY15p7db3vKgqfZ4VlCq6FhYWFuKvv/7CxIkT1eIrez9o6+6qjaWlpca9ddiwYfj2229x+vTpCntH6Euf5xplb46yz59sNhuDBw9Wm6mtMs9++mCxWOjdu7daWPPmzTUmXikvfmU+A6p2zbG0tMSYMWMQGxuLBQsWwMLCAsePH0dycrLauX/48GE0bdoULVu2VPveunfvruqmp3yuTUxMxNdff40///xTo0X/zp07CA4OVv2t7f7YsmVL8Pl8fPDBB5g4cSI6duwIX1/fcr8DbQy7s/8rKChINRZGKpXiiy++wMqVK7F06VIsXbpUa5wlS5YgMDAQy5cv13ohKbtd165dUVRUhGPHjmHRokXo168fLl68qPdsRa8+sHK5XNjZ2SE7OxvAf+N32rRpozX+q/1jzc3N1fpD6pKdnQ2ZTIa1a9fq7E6k7Layf/9+DB48GO+++y7+97//wdnZGVwuFxs3blTrT/r8+XNwOBydD+Fl2dnZaYQJBAK9u0S8Gl/5fZeNP2zYMPzxxx+YPXs22rRpAysrK9UDmbb9uLi4aN2Xra2tRhifz9cI5/P5AKBqmn3x4gUYhtGarvImrzzOhpTrVc+fP4erq2ul+koXFxfDyclJ5+e6yqgtXN/pkA059sobWkXnhUgkQsuWLfXaf0WVBOW+tN2MlR4+fIjQ0FBwuVz88ccfWs8RXQwtP8MwEIvFahVkfSjPLV3n36sPlbrOf13Mzc01viNtvwtleGWny3Z2dq6wogno94DWv39/WFhYaIzPe5XyGL36+wSAnJwctTLa2dlprZgXFhZCIpGotlVeywcNGqRzvzk5ObCwsNBaWf/www/h6uqKr7/+Wi28bIWh7L3j1XQB7deysoYPH45p06bhwoULla7cVPZ6+aq5c+di/vz5WLBggdZKjKenJ9zd3SvMjzEf3MueF69eN7WdF/ocC0Pu8b1799Y4L/r06YNevXrhgw8+0Bq/Xr16YLFYVTov9KXvs4JSRdfCFy9eQKFQaH2m0Oc5Q0nbPU4ZX9v3Uln6XNu1nTva8mjos5++tF23BQJBhdfniq6JLBarUrOeGXLN+eSTT7Bu3Trs2LEDH3zwAdatWwd3d3f07dtXtc2zZ89w79491bCCVymfa9PS0tCxY0f4+flh9erV8Pb2hpmZGS5duoRJkyZp3I+13R/r16+P33//HUuXLsWkSZNQWFgIX19fTJ482aAuj5Wq3JTF4/Hw9ddfY+XKlWr9XV/VsmVLDB06FDExMWpvJl/l6+urqjh16tQJQqEQs2bNwtq1azFt2jS98pSRkQE3NzfV3zKZDNnZ2aoTSVm737t3r9pgQF30vZDXq1dP1YKgq6XFx8cHQGk/cR8fH+zZs0ct/VcHoDk4OEAulyMjI8PgByVjy83NxeHDh/H111/jyy+/VIUr+wRrY+w58+vVqwc2m4309HSNz5StA9paDw3l4OCAs2fPQqFQGHzBs7e312sMQm1R5q2i70nXm25tXn3T/SrlvnJycrSexw8fPkSXLl3AMAxOnjyp1wNWZeXk5EAgEBhcsQH+uxmlp6dr5PHp06ca36mxz39jmTdvnl7TYXt5eWmM7dOGYZgKfydNmzYFAFy/fl3jHnD9+nXV5wDQrFkz7N69GxkZGWoPXNevX1dLS/l9r127Fu3atdO6X+UDjqWlpereomRpaQk7OzuN8LKaNWum2u+reS6bl4rU9mQPc+fOxZw5czBnzhydU2mPHTtWrzf3nTt3NtpaH82aNQNQ+n2WnWJXJpPh1q1bGDp0qNq2u3bt0mh11XVe6HOPt7Oz03iA5vP5cHV11XleCIVCNGjQQOd5IRQKK/W2WRt9nxX0payYZWRkaHymLUwXbZM8KeNrq5AoKSsBJSUlai+stY3Z1ZednV25+VEy9NmvutWvXx9CoVDnedSgQYNyXwhWRJ9rToMGDRAREYH169cjIiIChw4dwty5c9V68djb20MoFOqcoEr5vf78888oLCzE/v371b5fbS+qAN33x44dO6Jjx46Qy+W4fPky1q5diylTpsDJyQnvvfdehWUCDKzcpKena30wUXZHqqhryvz587F37169bqpKn3/+OWJjY7F48WJ8+OGHejWH79ixQ625/ccff4RMJlPNhtW9e3dwuVzcv39fr+5m+jI3N0doaCgSExPRvHlz1Vs0bVgsFvh8vtrBzcjI0JgBJSIiAosWLcLGjRsxb948o+W1MlgsFhiG0WhB++6774w6wLQ8FhYWCA4Oxv79+7F8+XLV+hoKhQJxcXFwd3c3aPIJXSIiIrBr1y7ExsYa3DWtcePG+Pnnn6uch+ry4MEDsNlstXUYtDFmtzRl97f79+9rDGJOS0tDly5dIJfLcfLkyWq/6Tx48KDS6xQom9Dj4uLU3v799ddfuHnzJmbOnGmUPFa3ynZL02bv3r0oKirSWblQcnNzQ9u2bREXF4dp06apbp4XLlzA7du3MWXKFNW2ffv2xaxZs7Bt2zZ88cUXqvDY2FgIhULVAnVvvfUWbGxskJycrFd3qsro378/Jk6ciIsXL6q6VMhkMsTFxSE4OLjCc19ZWajo+6lO0dHRmDNnDmbNmqXRSlVWbXRLCw4OhouLC2JjY9W6pe/duxcFBQUYMGCAKqx///749ttvsW/fPrVtt23bBldXV9Xxqa57fFn9+/fHqlWr8OjRI3h4eAAA8vPzsX//fvTp08fgLq+66PusoC8LCwu0bdsW+/fvx7Jly1QPz/n5+fjll1/0Tic/Px+HDh1S65q2c+dOsNlsnZPpAFC9BPv777/VrqGG7PtVnTt3Rnx8PLKyslQP2gqFAj/99JPadjVxXhiCy+Wid+/e2L9/P5YuXaq2/tuJEyf06uarjaHXnE8//RTh4eEYNWoUOBwOJkyYoPZ5r169sHDhQtjZ2ale0GujPEfL3jcYhsG3335raBEAlA43CA4ORuPGjbFjxw5cvXq1eio33bt3h7u7O3r37o3GjRtDoVAgKSkJK1asgEgkqrDJyMfHBx999BFWr16t9z55PB4WLlyIwYMHY/Xq1arpWcuzf/9+cLlchIWF4Z9//sHs2bPRokULDB48GEDpj2vevHmYOXMmHjx4gHfeeQf16tXDs2fPcOnSJVhYWBhUAStr9erV6NChAzp27IiPPvoI3t7eyM/Px7179/DLL7+o+mD26tUL+/fvx8SJEzFo0CA8evQI0dHRcHFxUZu5omPHjhgxYgTmz5+PZ8+eoVevXhAIBEhMTIS5uTk++eSTSuWzMqysrNCpUycsW7YM9vb28Pb2xqlTp7Bly5YaXTBq0aJFCAsLQ2hoKKZNmwY+n48NGzbgxo0b2LVrl1Helg8dOhTff/89IiMjcfv2bYSGhkKhUODixYvw9/cv9wfWpUsXbN26FXfu3DFKRaus0aNHY9u2bRW2lJTnwoULaNmyJerVq1fudtredFdWcHAwhEIhLly4oHYzzMzMRGhoKNLT07FlyxZkZmaqrVbv7u6u1kKiLLM+rQnaKBQKXLp0STUTmqH8/PzwwQcfYO3atWCz2YiIiEBqaipmz54NDw+PSt+MjOXUqVOqae/lcjkePnyIvXv3Aih9AFAuCOfq6lrhQ/mrHj58iGHDhuG9995DgwYNwGKxcOrUKaxatQpNmjRRzSanxOVy0blzZ7UZy5YsWYKwsDC8++67mDhxIjIzM/Hll1+iadOmat2VmzRpgnHjxuHrr78Gh8NBmzZtcOzYMWzevBnz589XdfkRiURYu3YtRo0ahZycHAwaNAiOjo54/vw5rl27hufPn2Pjxo2Gf5FljB07FuvXr8e7776LxYsXw9HRERs2bMDt27fx+++/q7Y7c+YMFixYgP79+8PX1xdisRi//vorNm/ejK5du2r0ya/quayvFStW4KuvvsI777yDnj17anQfLPsA5O3tXanrysOHD1UvQu7fvw8AqvPO29tbdR15+PAh6tevj1GjRmHLli0ASh9gli5dihEjRuDDDz/E0KFDcffuXXz++ecICwtTW2k9IiICYWFh+Oijj5CXl4cGDRpg165dOHr0KOLi4lQV5uq8xytNmzYNP/zwA3r27Il58+ZBIBBg8eLFEIvFauM8gNJZVJUzcWVkZKCoqEj1/QQEBJT7skXfZwVDREdH45133kFYWBg+++wzyOVyLFmyBBYWFnr3OrCzs8NHH32EtLQ0NGrUCPHx8fj222/x0UcfqY2ReVWPHj1ga2uLcePGYd68eeByuYiNja3StOQzZ87EL7/8gm7dumHmzJkQCoX45ptvVOOTlC0YNXFeGGru3Llo06YNevXqhS+//FK1iKe9vT0+++wztW1fvaYaes3RJSwsDAEBAThx4gSGDx+u0WV5ypQp2LdvHzp16oSoqCg0b94cCoUCaWlpOHbsGD777DMEBwcjLCwMfD4fQ4cOxeeffw6xWIyNGzfixYsXen8f33zzDY4fP46ePXvC09MTYrFY1WL09ttv652OQbOl7dmzhxk2bBjTsGFDRiQSMTwej/H09GRGjBjBJCcnq22ra2Gh58+fM1ZWVnov4qkUHBzM1KtXj3n58qXO/Cln4bhy5QrTu3dvRiQSMZaWlszQoUO1LmT2888/M6GhoYyVlRUjEAgYLy8vZtCgQczvv/+u2qYyi9alpKQwY8eOZdzc3Bgej8c4ODgw7du3Z+bPn6+23eLFixlvb29GIBAw/v7+zLfffqt1JhG5XM6sXLmSadq0KcPn8xlra2smJCSE+eWXX1Tb6FrE89VZwHTl99XjoYRXZjp5/PgxM3DgQKZevXqMpaUl88477zA3btxgvLy81GZmUs588ursGso8aTs3dJUBADNp0iS1sDNnzjBdu3ZlLCwsGKFQyLRr107t+ygvD9pmPNH2PRUXFzNfffUV07BhQ4bP5zN2dnZM165ddc6Co5Sbm8uIRCJm6dKleuVH26xcDKP93Bs4cCAjFArVZg/U9X2OGjVKY1ae/Px8xtzcnFmxYkW5ZagOI0aMYAICAtTCKpqR7dXF3+zt7Zl27dqphWk7PxiG0TgnGYZh/vjjD9U1oiK6jotcLmeWLFnCNGrUiOHxeIy9vT0zfPhw5tGjR2rbGbq4mq5rjSG/F+UMNNr+lT3fKyMnJ4fp378/4+3tzQiFQobP5zMNGzZkPv/8c63XZeiYVevYsWNMu3btGDMzM8bW1pYZOXKk1uuzRCJhvv76a8bT05Ph8/lMo0aNdM4CdurUKaZnz56Mra0tw+PxGDc3N6Znz5467ydK+iziyTClM06NHDmSsbW1ZczMzJh27doxCQkJatvcvXuX6dGjB+Pm5sYIBALGzMyMadasGbNgwQJGLBZrpKntXNaVx6pcL8s7Jwx8BNBJeW3T9q/s96u812j7znfu3Mk0b96c4fP5jLOzMzN58mStM/Dl5+czkydPZpydnRk+n880b95c54ye+tzjtdFnEU+GYZh79+4x/fr1Y6ysrBhzc3OmW7duWq8t5c1OqM9+9H1WMORaeOjQIdX37enpySxevFjvRTyV5+TJkyeZoKAgRiAQMC4uLsyMGTM0ZhvUVsZLly4x7du3ZywsLBg3Nzfm66+/Zr777juts6Xp+1xz5swZJjg4mBEIBIyzszPzv//9j1myZAkDQOP6VNnzQtdsadqu24YsiHr58mWmW7dujLm5OWNlZcX069ePuXfvnsZ2r15TDb3mlGfOnDnlzmhaUFDAzJo1i/Hz81M9hzZr1oyJiopiMjIyVNv98ssvTIsWLRgzMzPGzc2N+d///sf8+uuvWp+5tF3Xzp8/z/Tv35/x8vJiBAIBY2dnx3Tu3Jk5dOiQQeVhMUwFi13UIXPmzMHcuXPx/Plzo4y7IKSyPvnkE/zxxx/4559/jDruwtnZGSNGjMCyZcsqFX/Lli349NNP8ejRowpbbozt8uXLaNOmDS5cuKA2Y4q+kpOT0aRJE9XaUZUxYsQIPHjwAH/++Wel4hNiDMY4lwmpLV26dEFWVla546xNQXh4OFJTU3Hnzp3azorJCwoKAovF0rsruqkzTqdQQoiaWbNmYfv27di3b1+5MzkZ4p9//kFRUZHaGARDyGQyLFmyBNOnT6/xig1QevEcPHgwoqOjta6YXZETJ04gJCSk0g+D9+/fx549e/SenpOQ6lLVc5kQom7q1Klo1aoVPDw8kJOTgx07diAhIUHV/ZFoysvLw40bN3D48GFcuXIFBw4cqO0sGQ1VbgipBk5OTtixY4dBfU0r0qRJE+Tl5VU6/qNHjzB8+HCNfrw1acWKFdiyZQvy8/MNHpQ8adIkvdZ70iUtLQ3r1q1Dhw4dKp0GIcZQ1XOZEKJOLpfjq6++QkZGBlgsFgICAvDDDz8Ybb2d19HVq1cRGhoKOzs7fP311+jXr19tZ8loXqtuaYQQQgghhJA3V+1OvE8IIYQQQgghRkKVG0IIIYQQQshrgSo3hBBCCCGEkNcCTShgghQKBZ4+fQpLS0ujTiNMCCGEEEKMg2EY5Ofnw9XVVbVYKKl9VLkxQU+fPoWHh0dtZ4MQQgghhFTg0aNHcHd3r+1skH9R5cYEKafITUlJga2tbS3nhpQllUpx7NgxhIeHg8fj1XZ2SBl0bEwbHR/TRcfGdNGxMW05OTnw8fExeGkDUr2ocmOClF3RLC0tYWVlVcu5IWVJpVKYm5vDysqKbjQmho6NaaPjY7ro2JguOjamTSqVAgANITAx1EGQEEIIIYQQ8lqgyg0hhBBCCCHktUCVG0IIIYQQQshr4Y0dc7No0SLs378ft27dglAoRPv27bFkyRL4+fmptmEYBnPnzsXmzZvx4sULBAcHY/369WjSpEm5ae/btw+zZ8/G/fv3Ub9+fSxYsAD9+/ev7iIRQgghryW5XK4a3/AmkUql4HK5EIvFkMvltZ2dNw6HwwGXy6UxNXXMG1u5OXXqFCZNmoQ2bdpAJpNh5syZCA8PR3JyMiwsLAAAS5cuRUxMDGJjY9GoUSPMnz8fYWFhuH37ts6ZMc6fP48hQ4YgOjoa/fv3x4EDBzB48GCcPXsWwcHBNVlEQgghpM4rKCjA48ePwTBMbWelxjEMA2dnZzx69IgesGuJubk5XFxcwOfzazsrRE9vbOXm6NGjan9///33cHR0xJUrV9CpUycwDINVq1Zh5syZGDBgAABg27ZtcHJyws6dO/Hhhx9qTXfVqlUICwvD9OnTAQDTp0/HqVOnsGrVKuzatat6C0UIIYS8RuRyOR4/fgxzc3M4ODi8cQ/4CoUCBQUFEIlEtEhkDWMYBhKJBM+fP0dKSgoaNmxIx6COeGMrN6/Kzc0FANW6MikpKcjIyEB4eLhqG4FAgM6dO+PcuXM6Kzfnz59HVFSUWlj37t2xatUqnfsuKSlBSUmJ6u+8vDwApc3Rb2IzvClTHg86LqaHjo1po+Njukz52JSUlEChUMDOzg4CgaC2s1PjlA/YAoHgjavYmQKBQAAOh4O0tDQUFRVpnIOm+JshVLkBUHrxmDp1Kjp06ICmTZsCADIyMgAATk5Oats6OTnh4cOHOtPKyMjQGkeZnjaLFi3C3LlzNcJPnDgBc3NzvctBak5CQkJtZ4HoQMfGtNHxMV2meGy4XC6cnZ1RWFj4Rj9I5ufn13YW3lgSiQTFxcU4deoUZDKZ2mdFRUW1lCtSHqrcAPj444/x999/4+zZsxqfvfqmhGGYCt+eGBpn+vTpmDp1qurvvLw8eHh4IDQ0FHZ2dvoUgdQQqVSKhIQEhIWF0YJqJoaOjWmj42O6TPnYiMViPHr0CCKRCGZmZrWdnRrHMAzy8/NhaWlJLTe1RCwWQygUolOnThrnYHZ2di3lipTnja/cfPLJJzh06BBOnz4Nd3d3VbizszOA0pYYFxcXVXhmZqZGy0xZzs7OGq00FcURCARam9t5PJ7J3WhIKTo2pqsuH5tnOTLkFihgLWLDyfb1vDzX5ePzujPFYyOXy8FiscBms9/I8Q4KhQIAVN8BqXlsNhssFkvr78PUfi+k1Bv7S2EYBh9//DH279+P48ePw8fHR+1zHx8fODs7qzXTSyQSnDp1Cu3bt9eZbkhIiEbT/rFjx8qNQwghz3JkGDXnKSIXZ2DUnKd4liOrOBIhRC9yBYOkO2L88Vchku6IIVe8eTOvEfKmeGMrN5MmTUJcXBx27twJS0tLZGRkICMjA8XFxQBK35JMmTIFCxcuxIEDB3Djxg2MHj0a5ubmGDZsmCqdkSNHqmZGA4BPP/0Ux44dw5IlS3Dr1i0sWbIEv//+O6ZMmVLTRSSE1CG5BQpI/q3PSGSlfxNCqu50YhGGzXqKqasyseD7bExdlYlhs57idOLrN15iw4YN8PHxgZmZGVq3bo0zZ86Uu316ejqGDRsGPz8/sNnsOvesYmh5gdKlQFq3bg0zMzP4+vrim2++qYGckpr0xlZuNm7ciNzcXHTp0gUuLi6qf3v27FFt8/nnn2PKlCmYOHEigoKC8OTJExw7dkxtjZu0tDSkp6er/m7fvj12796N77//Hs2bN0dsbCz27NlDa9wQQrR6liPDnTQJ0jLUB0unZUhxJ01CLTiEVMHpxCLM+TYLz1+qL4D5/KUcc77Neq0qOHv27MGUKVMwc+ZMJCYmomPHjoiIiEBaWprOOCUlJXBwcMDMmTPRokWLGsxt1VWmvCkpKejRowc6duyIxMREzJgxA5MnT8a+fftqMOekurGYN3FVLBOXl5cHa2trZGVl0YQCJkYqlSI+Ph49evSgvrYmpi4eG2VXNGWLDZsFKJj//gsAfC6wbY5rnR+DUxePz5vClI+NWCxGSkqK6u28UnGJ7pZNDpsFPo8FuYLBsFlPNSo2ZTnYcLBzvis4bFa56QoFhr0LZhgGy5YtwzfffIP09HQ0atQIs2fPxqBBgwxKR6FQIC8vD1ZWVhWOuQkODkZgYCA2btyoCvP390e/fv2waNGiCvfVpUsXtGzZstylK3SJi4vDqlWrcPv2bVhYWKBr165YtWoVHB0dDU5LX5Up7xdffIFDhw7h5s2bqrDIyEhcu3YN58+f1xpH1zkIlE4oYG9vj9zcXFhZWRmhVMQY6vbdkhBC6rCyXdGA/yo0ZYcDKLuoOdnWbN4IMWU9ox7r/Cy4iRkWTXLE9Xsl5VZsgNIWnOv3StCyUelD67DZT7V2CT2+wdOg/M2aNQv79+/Hxo0b0bBhQ5w+fRrDhw+Hg4MDOnfurDVOZGQk4uLiyk03OTkZnp6aeZFIJLhy5Qq+/PJLtfDw8HCcO3fOoLxXhkQiQXR0NPz8/JCZmYmoqCiMHj0a8fHxOuPURnnPnz+vtn4hULoW4ZYtWyCVSk2uck8qhyo3hBBSS6xFbPC5UKvgAACLBTBlWm6sRW9sD2JCKi07t/yKjaHb6auwsBAxMTE4fvw4QkJCAAC+vr44e/YsNm3apLNyM2/ePEybNk0tTKFQoKCgACKRCGw2G66urlrjZmVlQS6XG7zOnrGMHTtW9f++vr5Ys2YN2rZtq8q7NtrK+ypjl1fXWoQymQxZWVlqs+OSuosqN4QQUkucbLnYNscVuQUK/H6pAHuPFwAordhM6GeD1o3NXutpoQmprCMr3XV+puxiZmfN0SutstvtjNb+MG2I5ORkiMVihIWFqYVLJBK0atVKZzxHR0eNblyGdEsDKrc2nzEkJiZizpw5SEpKQk5OjmoK67S0NAQEBGiNo628hjLWWoTawkndRXdMQgipRU623H+7nIlUlRsAeJguwdBw6sNNiDb6jIFp1kAABxtO+WNu6nHQrMF/68wZOrZGG+WD/ZEjR+Dm5qb2mbY17ZSq0k3L3t4eHA7H4HX2jKGwsBDh4eEIDw9HXFwcHBwckJaWhu7du0MikeiMVxvl1bUWIZfLpTHOrxGq3BBCiAko20WNBcDHjfp+E1IVHDYLk96thznfZuncZtKgeqqWHmMJCAiAQCBAWlqazi5o2lSlWxqfz0fr1q2RkJCA/v37q8ITEhLQt2/fyhVET7du3UJWVhYWL14MDw8PAMDly5crjFeVbmmVLW9ISAh++eUXtbBjx44hKCiIxtu8RqhyQwghJkDZRe1lvhw2lhzqikaIEXRqZY45E+yx/qcXai04DvU4mDSoHjq1Mjf6Pi0tLTFt2jRERUVBoVCgQ4cOyMvLw7lz5yASiTBq1Cit8araLW3q1KkYMWIEgoKCEBISgs2bNyMtLQ2RkZGqbaZPn44nT55g+/btqrCkpCQAQEFBAZ4/f46kpCTw+Xyd3cle5enpCT6fj7Vr1yIyMhI3btxAdHR0hfGq2i2tMuWNjIzEunXrMHXqVEyYMAHnz5/Hli1bsGvXrkrng5geunsSQkyGXMHg+r0SZOfKYWdd2l3E2G9VTdHqPTnIyJJhWHcrNGtgVnEEQojeOrUyx1sthDV6bYmOjoajoyMWLVqEBw8ewMbGBoGBgZgxY0a17XPIkCHIzs7GvHnzkJ6ejqZNmyI+Ph5eXl6qbdLT0zXWgSk7DujKlSvYuXMnvLy8kJqaCgA4efIkQkNDkZKSAm9vb439Ojg4IDY2FjNmzMCaNWsQGBiI5cuXo0+fPtVSTqXKlNfHxwfx8fGIiorC+vXr4erqijVr1mDgwIHVmldSs6hyQwgxCacTizTfrtpwMOnd6nm7aioUCganE4vwIk+BQd3+G2MjlzO4cb8EzRsKaKArIVXEYbNU0z3XBBaLhcmTJ2Py5Mk1tk8AmDhxIiZOnKjz89jYWI2wipY7TE1NRYMGDTTGD5U1dOhQDB061KB0jaEy5e3cuTOuXr1ajbkitY3mFyWE1Lo3aRXxV7FYwPLJjpjQzwbN/x3YLFcwGDHnKaJWZeLuI2kt55AQ8iY7evQoFi5cSGNSSJ1BLTeEkFolVzBY/9OLcrdZv/cF3mohfC27qLFYLPi48uHjyleFcdgsNPLko0hcgoxsGRp58stJgRBCqs/u3btrOwuEGIQqN4SQWqXXKuIv1FcRfxNMec8WInM2uJzXr0JHCCGEVBfqlkYIqVW1tYq4Kch6KcM3+1/g73tijc9sLDlUsSGEEEIMRJUbQkitqswq4q+LCzfE+PH3fGw+8LLc7cQSRc1kiBBCCKnjqHJDCKlVylXEy/PqKuKvC09nLsLamqNbGwutnz/OlOLjZRmYsCCjRmYeIoQQQuo6GnNDCKlVtbWKuClo3sAMzctZ18bOmoP7j6WQyBg8zpTBw4lmKyKEEELKQ5UbQkit69TKHG2bmOHSP+pjT6pzFfG6QChg4+sJ9mjgzoO9DV2uCSGEkIpQtzRCiEnILSgdVzIwVARlG82azxxf24rNPw9K8CK/4kkS2jUVUsWGEEII0RNVbgghJqFHewu83cYcg7pZoZFX6bou1+6U1HKuqgfDMJj3XRYGffkE17XMlEYIMS65QoG/0v7Brzf/xF9p/0CuoEk6CHldUeWGEGISene0xIwx9nCy5SLQr3QcytXbr2flJrdAgXpWHAj4LPh5VTxRwu2HJViyPRs7f8utgdwR8nr5/c4lRGz+GON/jMaXR9Zi/I/RiNj8MX6/c6m2s2Z0GzZsgI+PD8zMzNC6dWucOXOm3O3Pnj2Lt956C3Z2dhAKhWjcuDFWrlxZQ7mtOkPLCwCnTp1C69atYWZmBl9fX3zzzTc1kFNSk6hyQwgxOYGNlZUb8Ws5S5iNJQfffOmMHxe4gc+reKKEJ89l+O1CIX49V/hafh+EVJff71zCtEMxeFaQoxaeWZCDaYdiXqsKzp49ezBlyhTMnDkTiYmJ6NixIyIiIpCWlqYzjoWFBT7++GOcPn0aN2/exKxZszBr1ixs3ry5BnNeOZUpb0pKCnr06IGOHTsiMTERM2bMwOTJk7Fv374azDmpblS5IYTUusTbYqQ8lUChKH1wb+rLB48LZL2U41GmrJZzV31E5vpdgkOaCtG/iwjThttWc44IqRuKJGKd/0pkEgClXdGWHo+FttcBzL//lh6PVeuipitNQzEMg6VLl8LX1xdCoRAtWrTA3r17K1dYPcXExGDcuHEYP348/P39sWrVKnh4eGDjxo0647Rq1QpDhw5FkyZN4O3tjeHDh6N79+56tYCUFRcXh6CgIFhaWsLZ2RnDhg1DZmZmVYtUrsqU95tvvoGnpydWrVoFf39/jB8/HmPHjsXy5curNa+kZtEoVUJIrVvyQzYyc+RY/qkjAv3MIOCz0cRXgKQ7JUi6LYbnazQFskzOgM0C2AZMbS00Y+OTwVSxIUQpZM1onZ919GmFdQO/wNXHNzVabF71rCAHVx/fRBvPJgCAHt9+ghfF+RrbXZu226D8zZo1C/v378fGjRvRsGFDnD59GsOHD4eDgwM6d+6sNU5kZCTi4uLKTTc5ORmenp4a4RKJBFeuXMGXX36pFh4eHo5z587pne/ExEScO3cO8+fP1zuOcv/R0dHw8/NDZmYmoqKiMHr0aMTHx+uMUxvlPX/+PMLDw9XCunfvji1btkAqlYLHe33uNW8yqtwQQmpVdq4cmTlysFhA438nEgCA8X1twOWw0MD99brZJFwqxHcHX6J/Z0sMj7Cu7ewQ8trKKnxp1O30VVhYiJiYGBw/fhwhISEAAF9fX5w9exabNm3SWbmZN28epk2bphamUChQUFAAkUgENpsNV1dX7WXIyoJcLoeTk5NauJOTEzIyMirMs7u7O54/fw6ZTIY5c+Zg/Pjx+hRVZezYsar/9/X1xZo1a9C2bVtV3rXRVt5XGbu8GRkZWuPIZDJkZWXBxcWl3PyQuoEqN4SQWnUzpXTSAG8XHszN/uumFeBT8UD7uujKTTFe5Ckgkxs+dubJcylOXS3CW83N4eXyelX6CDHE+cmxOj/jsEuvI/YWNnqlVXa7+Alrq5CrUsnJyRCLxQgLC1MLl0gkaNWqlc54jo6OcHR0VAtTKBTIy8uDlZUV2OyKu7GyWOotwgzDaIRpc+bMGRQUFODChQv48ssv0aBBAwwdOrTCeEqJiYmYM2cOkpKSkJOTA8W/Xf3S0tIQEBCgNY628hqqMuXVFkdbOKm7qHJDCKlVyaml/eP9ffgVbPl6+GKkHXq8JYKLneGX3037X+LstWIUixmM62tj/MwRUkeY880q3CbQ3R9OIltkFuRoHXfDAuBoaYdAd3+D0q2I8sH+yJEjcHNzU/tMIND90qYq3bTs7e3B4XA0Wi0yMzM1Wiq08fHxAQA0a9YMz549w5w5c/Su3BQWFiI8PBzh4eGIi4uDg4MD0tLS0L17d0gkEp3xaqO8zs7OWuNwuVzY2dmVmxdSd1DlhhBSq27923IT4K1500+6I8ZvFwrRtL4APd/S3rWhruFxWaqprg3VtY0FiksYNPR8MyqChFQFh83G511HY9qhGLAAtQqO8h3956GjVC09xhIQEACBQIC0tDSdXdC0qUq3ND6fj9atWyMhIQH9+/dXhSckJKBv374G5Z9hGJSU6D8N/61bt5CVlYXFixfDw8MDAHD58uUK41WlW1plyxsSEoJffvlFLezYsWMICgqi8TavEarcEEJqjVzO4Faa7pab+48l+O1CIbJz5a9N5aYqugSao0ugeW1ng5A64+1GbbG8z1QsPR6rNrmAo6UdPg8dhbcbtTX6Pi0tLTFt2jRERUVBoVCgQ4cOyMvLw7lz5yASiTBq1Cit8araLW3q1KkYMWIEgoKCEBISgs2bNyMtLQ2RkZGqbaZPn44nT55g+/btAID169fD09MTjRs3BlC67s3y5cvxySef6F1eT09P8Pl8rF27FpGRkbhx4waio6MrjFfVbmmVKW9kZCTWrVuHqVOnYsKECTh//jy2bNmCXbt2VTofxPRQ5YYQUmtS06UQlzCwMGPBy1nzrZlyvZvr90ogkTJ6rQljqhiGwfyt2WjkyUevDiJYCGkmfkJqwtuN2iK0QRCuPr6JrMKXsLewQaC7v9FbbMqKjo6Go6MjFi1ahAcPHsDGxgaBgYGYMWNGte1zyJAhyM7Oxrx585Ceno6mTZsiPj4eXl5eqm3S09PV1oFRKBSYPn06UlJSwOVyUb9+fSxevBgffvihapuTJ08iNDQUKSkp8Pb21tivg4MDYmNjMWPGDKxZswaBgYFYvnw5+vTpU21lrWx5fXx8EB8fj6ioKKxfvx6urq5Ys2YNBg4cWK15JTWLxdCKcCYnLy8P1tbWyMrKoj6gJkYqlSI+Ph49evSgJmwjKBYrcO1eCV7kyxERotkywzAMBk1/ghd5Cqyc4ogWjXR35zL1Y5PyVIJx8zPA4wI/L3OHUFD5B6sSiQKJd0oQ3MSszgyCNfXj8yYz5WMjFouRkpKiWoX+TWPohALVITY2FgsWLEBycrLJnR81obxzMDs7G/b29sjNzYWVlVUt5ZC8ilpuCCG1RmjGRrumQp2fs1gstGpkhuOXi3D1trjcyo2ps7Xi4ON36+FlgbxKFRupjMF7s54it0CBb2c4o747jb8hhFSfo0ePYuHChW9kxYbUTVS5IYSYtEC/0srNlVtijOld27mpPGsRBwNCLaucDo/LQlNfAe4+liArV4767kbIHCGE6LB7t2ELmBJS26hyQwipFQVFCuxJyIO/Dx8hzYQ6u1cpx93ceihBYbGCxqqgdDppCyGrznRJI4QQQmoKVW4IIbXiZmoJdvyWB1cHLto31z0DmLMdF64OXAh4LDx/Ka+TlZubqSXIK1SgVSMzo0yKIDKve98BIYQQUhOockMIqRW3lIt3elc8ZuS7mc4w49fdB/q9f+TjxJUivP+OFcb1sTFq2vlFClhSZYcQQggBALzRd8TTp0+jd+/ecHV1BYvFws8//6z2OYvF0vpv2bJlOtOMjY3VGkcsFldzaQipW5L/XbzTX8vina+qyxUbAHCy5cDBhoOQZronTzDUgycSjIlOxyfLMkCTXhJCCCGl3uiWm8LCQrRo0QJjxozROsd5enq62t+//vorxo0bV+F86FZWVrh9+7Za2Js4hSUhujAMg5v/ttwEaFm8UxeJtPQhvq6td/NB/3qY0M/GqGk62XLx9LkUDAM8y5HD2e6NvpwTQgghAN7wyk1ERAQiIiJ0fu7s7Kz298GDBxEaGgpfX99y02WxWBpxCSH/efJchrxCBXhc6D2V8apdOTh6oRCfj7BF1yCLas6h8Rl78L+FkI1FkxzRyINPY3AIIYSQf73RlRtDPHv2DEeOHMG2bdsq3LagoABeXl6Qy+Vo2bIloqOj0apVK53bl5SUoKSkRPV3Xl4egNKF1aRSadUzT4xGeTzouFTNjXtFAICGHjyAkUGfr5PLYSCRMrh8swgdW2hWiEz12GS+kMOxHqda0m7mywEgh1Qqr5b0jclUjw8x7WMjlUrBMAwUCgUUCkVtZ6fGKbucKr8DUvMUCgUYhoFUKgWHo34tN8XfDKHKjd62bdsGS0tLDBgwoNztGjdujNjYWDRr1gx5eXlYvXo13nrrLVy7dg0NGzbUGmfRokWYO3euRviJEydgbq57FilSexISEmo7C3Xa6VtuABwhUDxBfPwlveLI8qwA1Me5pJfwszqncztTOjYvCgXYfjYAjlZFGNLuNth1qzddtTCl40PUmeKx4XK5cHZ2RkFBASQSSaXTUcgZPD9fguIMBYTObDiECMDm1J0fZH5+fm1n4Y0lkUhQXFyM06dPQyaTqX1WVFRUS7ki5WExNBIVQGmXkQMHDqBfv35aP2/cuDHCwsKwdu1ag9JVKBQIDAxEp06dsGbNGq3baGu58fDwQHp6Ouzs7AzaH6leUqkUCQkJCAsLo9Waq0ChYPDkuRw8LvQeK1JcosDAL59BrgC2feWgEc8Uj83Jq8VYsv0lWjTkY/Gk6vktX79XggOnCuHnyceQMFG17MMYTPH4kFKmfGzEYjEePXoEb2/vSo9dfbA/D2ejMlD4+L8HUwt3LjqsdIbvACtjZbVaMAyD/Px8WFpa6tW1dePGjVi+fDnS09PRpEkTxMTEoGPHjjq3HzNmDLZv364RHhAQgOvXr1cp7zXB0PICwKlTpzBt2jT8888/cHV1xbRp0xAZGalze7FYjNTUVHh4eGicg9nZ2XBxcUFubi6srEz7XHqTUMuNHs6cOYPbt29jz549Bsdls9lo06YN7t69q3MbgUAAgUBzxigej2dyNxpSio5N1fm6G7Y9jwf4+whw434J/r4vh4ez9pnHTOnYhAXzENzUAi8LFNWWp6w8Cf78uwSPM+V4P8LG5Bf2NKXjQ9SZ4rGRy+VgsVhgs9lgsw0fW3Z/fy5+G/wYeOU1buETGX4b/Bjv7PVA/QHWRsqt8Sm7oim/g/Ls2bMHUVFR2LBhA9566y1s2rQJPXv2RHJyMjw9PbXGWbNmDZYsWaL6WyaToUWLFnj33Xcr9X3XpMqUNyUlBb169cKECRMQFxeHP//8ExMnToSTk5POyaLYbDZYLJbW34ep/V5IKdM+c03Eli1b0Lp1a7Ro0cLguAzDICkpCS4uLtWQM0LeLIF+pS8Brt6uO1OrW1lw4OlUfTfA9s2FeL+7FWaOsa+2fRBiaqSFCp3/ZOLSCoFCzuDMp+kaFRsAqrAzn6ZDIWcqTNdQDMNg6dKl8PX1hVAoRIsWLbB3797KFFVvMTExGDduHMaPHw9/f3+sWrUKHh4e2Lhxo8441tbWcHZ2Vv27fPkyXrx4gTFjxhi077i4OAQFBcHS0hLOzs4YNmwYMjMzq1qkclWmvN988w08PT2xatUq+Pv7Y/z48Rg7diyWL19erXklNeuNbrkpKCjAvXv3VH+npKQgKSkJtra2qlp/Xl4efvrpJ6xYsUJrGiNHjoSbmxsWLVoEAJg7dy7atWuHhg0bIi8vD2vWrEFSUhLWr19f/QUipA44er4Af90U4+02Fgav+9LKzwzb4/OQdFsMhmFMvpWiJoiEbIzra1Pb2SCkRm0WJev8zKuHCL2OeCP9TKFaVzQNDFD4WIb0M4Vw61LapXO7922IszQn6JjENDUof7NmzcL+/fuxceNGNGzYEKdPn8bw4cPh4OCAzp07a40TGRmJuLi4ctPV1SohkUhw5coVfPnll2rh4eHhOHdO9xjFV23ZsgVvv/02vLy89I6j3H90dDT8/PyQmZmJqKgojB49GvHx8Trj1EZ5z58/j/DwcLWw7t27Y8uWLZBKpdQS85p4oys3ly9fRmhoqOrvqVOnAgBGjRqF2NhYAMDu3bvBMAyGDh2qNY20tDS1ptuXL1/igw8+QEZGBqytrdGqVSucPn0abdu2rb6CEFKHXPxHjFNXi1DfjWdw5SbAR4D2zYVoVl8AqQzgm/B9aPWeHOQVKDAkzAqNPPVfy4cQYhyF6eVUbCqxnd77LSxETEwMjh8/jpCQEACAr68vzp49i02bNums3MybNw/Tpk1TC1MoFCgoKIBIJAKbzYarq6vWuFlZWZDL5XByclILd3JyQkZGhl75Tk9Px6+//oqdO3fqtX1ZY8eOVf2/r68v1qxZg7Zt26ryro228r7K2OXNyMjQGkcmkyErK4t62bwm3ujKTZcuXSpc2fuDDz7ABx98oPPzkydPqv29cuVKrFy50hjZI+S1dDOldPKMAB/NcWYV4XFZmB/pYOwsGZ1cweDE5SLkFSrQt3PNDPK/90iCE1eK0D3Eolq7wRFiCj4oCND5Gevf2XotXPR7xCm73chUvyrlCyhtbRCLxQgLC1MLl0gk5S4L4ejoCEdHR7UwhUKBvLw8WFlZ6TUG5tXWbENauGNjY2FjY6NzYqXyJCYmYs6cOUhKSkJOTo5qrFBaWhoCArQfK23lNVRlyqstjrZwUne90ZUbQkjNev5ShswXcrBZgN9r3JrBArBwogMu/VOMJpWoxFXG1l9e4sINMXhcYHQvmxrZJyG1hWdR8YO+S0cLWLhzUfhEpn3cDQsQufPg0vG/RYH1Sbciygf7I0eOwM3NTe0zbZMHKVWlm5a9vT04HI5Gq0VmZqZGS4U2DMNg69atGDFiBPh8w67NhYWFCA8PR3h4OOLi4uDg4IC0tDR079693Om7a6O8zs7OWuNwuVyanfY1QpUbQkiNuZlSeqPzceNBaFb5h4jnL2VIvF2CrkHm4JrgWhVsNgsBPoJKtU5VVlhbC/B5LDTxrbl9EmLK2BwWOq52wdFBj0rfOJSt4Px72eiwytno690EBARAIBAgLS1NZxc0barSLY3P56N169ZISEhA//79VeEJCQno27dvhfs+deoU7t27h3HjxumdX6Vbt24hKysLixcvhoeHB4DSbv8VqUq3tMqWNyQkBL/88ota2LFjxxAUFETjbV4jVLkhhNSYW6n/dknzrvwDuELBYMKCDOQVKuDmwKWH+X+FBlkgNMii4g0JeYPUH2CNd/aWzopWdnIBkTsPHVY5V8s00JaWlpg2bRqioqKgUCjQoUMH5OXl4dy5cxCJRBg1apTWeFXtljZ16lSMGDECQUFBCAkJwebNm5GWlqa2hsv06dPx5MkTjbVttmzZguDgYDRtatjECQDg6ekJPp+PtWvXIjIyEjdu3EB0dHSF8araLa0y5Y2MjMS6deswdepUTJgwAefPn8eWLVuwa9euSueDmB6q3BBCakzyvy03jX0q3yWNzWahZSMBTicW4+ptsclVbp7lyHD0fCFCmglpIgFCTED9Adbw6WtVOntaugwWLly4dLQweotNWdHR0XB0dMSiRYvw4MED2NjYIDAwEDNmzKi2fQ4ZMgTZ2dmYN28e0tPT0bRpU8THx6vNfJaeno60tDS1eLm5udi3bx9Wr16tNd2TJ08iNDQUKSkp8Pb21vjcwcEBsbGxmDFjBtasWYPAwEAsX74cffr0MWr5XlWZ8vr4+CA+Ph5RUVFYv349XF1dsWbNGp1r3JC6iSo3hJAawTAMGABsdtVaboDSKaFPJxYj8ZYYIyJMawG+P68VY9uRXCTdEWNlVMV93Y0tv0iBq7fE6BxoXuP7JsRUsTks1XTPNYHFYmHy5MmYPHlyje0TACZOnIiJEyfq/Fw5E2xZ1tbWKCoq0hknNTUVDRo00Bg/VNbQoUM1ZpWtaMImY6hMeTt37oyrV69WY65IbaPKDSGkRrBYLKye6gSxRAE+t2pvTAP9zAAA/6SUQCxRwIxvOusRezhx0aGFEIGNzWp83yUSBYbMfAJxCYPvZ7vAy4X6kBNCqubo0aNYuHAhjUkhdQZVbgghNcoYFRF3Ry4cbDh4/lKOG/dLEORv2Ho5VZGel4WXxfmwEVrCxcpe4/M2AUK0Cai5/JQl4LPRooEAz3LkeJkvp8oNIaTKdu/eXdtZIMQgVLkhhNQIhYIBm22cPu4sFguBjc3w24VCXL1dc5Wb9Lws9NkSBYlcCj6Hh0PjVmqt4NSmr8bbQygwnZYsQgghpCbRHZAQUiM+WJiBj5ZkIDVdapT0Wv3bNS3xltgo6enjZXE+JPLS/EvkUrwszlf7/PbDEhQWK2osP9pQxYYQQsibjFpuCCHVLq9QjgdPSysF9SyN8/DdNsAMs8baqSo51UnZFe1B9hO1cOXfNkJLOInsMGPDc+QXKbDuf861PlMawzDIyVPAzppTq/kghBBCahJVbggh1e5WaukU0G4OXFiLjPOwbWPJQdcaWNelbFc0AGCzWFAwDFhgYUb8OgAAn8PD9+8ug4WQDYmUgY9r7Y51uZVagjnfZsFCyMaWWS61mhdCCCGkJlHlhhBS7W7+W7nxr8L6NrWlbFc0AFD8O70pU2a5c4lcCg6vGNvn+CAnTw5eFWeDqyo3Rx5y8uTIL1IgJ1cOW2q9IYQQ8oagyg0hpNrdTCkBAAT4GHfBzbxCOX45U4DHmTJMHWpl1LSVbISW4HN4Gi03ZfE5PNgILQEAtla1X5GwNGcjZooTGnrwIDChabIJIYSQ6kaVG0JItWIY5r+WG2/jttywWCx8/0suFAwwMqJ6uqi5WNnj0LiVeFmcjx+uxONI8hnVZwt7fAxfOzdY8kVwtrSrlv1XVtP6xq1IEkIIIXUBvdIjhFSrx5ky5BcpwOex4Otm3MqNpTkbDT1K00y8U2LUtMtysbKHTCFXq9gAgK+dG/ydfPDX3zwM/+op9p/I15FC7aqJlcIJMXXPcmS4kybBsxxZbWeFEFKNqHJDCKlWcgXQOdAc7ZqaVctYlFaNS2dLS7ojMXraZbHAQgvXhmCzSsvA5/BgKbDAD5ePYPmVOXiaUwRxSe1OA/2qS/8UY9rqZ9j1W15tZ4WQWvUsR4ZRc54icnEGRs15+tpWcDZs2AAfHx+YmZmhdevWOHPmTLnbp6enY9iwYfDz8wObzcaUKVNqJqNGYmh5AWD9+vXw9/eHUCiEn58ftm/fXgM5JTWJuqURQqqVtwsPX4+vvoUuA/0E2H0MSLpTgoDgatsNmrrUx/Zh0Xj0IgMFkmLYCC1hbSbCzqu/okCRhXffSUbXNj7Vl4FKyM6T4+rtErzMV2DYO9a1nR1Cak1ugQKSf+szElnp3062tZsnY9uzZw+mTJmCDRs24K233sKmTZsQERGB5ORkeHp6ao1TUlICBwcHzJw5EytXrqzhHFdNZcq7ceNGTJ8+Hd9++y3atGmDS5cuYcKECahXrx569+5dwyUg1YVabgghdVrT+gLwuEBWrgIvi6p/nIlHPWf4O/nAxcoe5nwzzHknErPDxmNmrz5wtjOt90VvNRdiQj8bzP2w+iqXhNSG4hIFiksUal0upTIGxSUKSKT/hT3LkeH6PTHuPVZv2U15KsH1e2I8fqa+qLAyXYXivzRkcsO7dTIMg6VLl8LX1xdCoRAtWrTA3r17DU7HEDExMRg3bhzGjx8Pf39/rFq1Ch4eHti4caPOON7e3li9ejVGjhwJa+vKvwCJi4tDUFAQLC0t4ezsjGHDhiEzM7PS6emjMuX94Ycf8OGHH2LIkCHw9fXFe++9h3HjxmHJkiXVmldSs6hyQwipNhIpgyeZ0mod82HGZ6PJv7OwpWVbGj19uUKB+JtnIZZq7/YW7NkUg1q8DRardqd/1sbKgoOh4VZwc6jddXcIMbaeUY/RM+oxcgv+6wq6JyEPPaMeY82POQD+64r2aUwmlsflQPkTZbOAJdtz8GlMJkbPS1frojZs9lP0jHqMhxn/VXqOni80OH+zZs3C999/j40bN+Kff/5BVFQUhg8fjlOnTumMExkZCZFIpPbPysoK7u7usLKygkgkQlpamta4EokEV65cQXh4uFp4eHg4zp07Z3D+DSWRSBAdHY1r167h559/RkpKCkaPHl1uHG3lffWfsctbUlICMzP1hZ+FQiEuXboEqVSqIxapa0zrNSMh5LVy62EJpsRkwteNh+9mVt9ikq0am+HWQwlKZMafhvlMSiKmH1kHz3rOODg2BmzWf++EGIbB4m3ZaFpfgLBgC3C5DC4+vI63fFoaPR+EEMOU7YoGAMp3LGUaZaBgjN9FrbCwEDExMTh+/DhCQkIAAL6+vjh79iw2bdqEzp07a403b948TJs2TS1MoVCgoKAAIpEIbDYbrq6uWuNmZWVBLpfDyclJLdzJyQkZGRlGKFX5xo4dq/p/X19frFmzBm3btlXlXRtt5X2VscvbvXt3fPfdd+jXrx8CAwNx5coVbN26FVKpFFlZWXBxoUWPXwdUuSGEVJvklNLWDjeH6r3UDAq1xKBQIY79dtXoaUtlUrha2aNrgzZqFRsAuPdYioRLRThzrRihQQKM+3EubmTcx+bBsxDs2dToeamsv++JceJKEQaGWsLdkVpxSN13ZKU7AMCM/1+L6ZAwKwzsagkOuzTMWsQGnwtVBYfFKq3gsFn/VXB43NLtlHZGlz5MC3j/pftOiGHTzCcnJ0MsFiMsLEwtXCKRoFWrVjrjOTo6wtHRUS1MoVAgLy8PVlZWYLMr7mzzagsywzA10qqcmJiIOXPmICkpCTk5OVAoSlvU0tLSEBAQoDWOtvIaytDyzp49GxkZGWjXrh0YhoGTkxNGjx6NpUuXgsOp/TXKiHFQ5YYQUm2Ui3f6e1fvWBihGRtSafXcwMP82qFrw7YokWl2S6tnycb4PtYoLmEgEvLRxLk+Hr7IQL64qFryUlk7jubhr2Qx7Kw4GB5BEwuQuk8o0HzQ53FZajMyOtlysW2OK3ILFEjLkGJhbDaA0orNjNF28HTmwVrEhpMtt9x0uRzDri3KB/sjR47Azc1N7TOBQPe1MDIyEnFxceWmrWuwvL29PTgcjkarRWZmpkbrhrEVFhYiPDwc4eHhiIuLg4ODA9LS0tC9e3dIJLpnsayN8gqFQmzduhWbNm3Cs2fP4OLigs2bN8PS0hL29jQ28XVBlRtCSLVRLd7pY9z1bcojkTLgGblxgsNmw5xvphFub8NVm4VsSqdhGBfcD06WpjUNU/d2FrC14qBFQ1rYk7xZnGy5WruceTrz0Mizeq5LAQEBEAgESEtL09kFTZuqdEvj8/lo3bo1EhIS0L9/f1V4QkIC+vbtW7mC6OnWrVvIysrC4sWL4eHhAQC4fPlyhfGq0i2tquXl8Xhwdy9t/du9ezd69eqlV8sYqRuockMIqRbPX8iQ9VIONhvV9hBRVtLdEmw744+zD3OwbLJzldMrlpbgVmYqWro20rtbhznfTGslqLZ1DbJA1yDDutYQ8jop20WN/0pXNGOztLTEtGnTEBUVBYVCgQ4dOiAvLw/nzp2DSCTCqFGjtMarare0qVOnYsSIEQgKCkJISAg2b96MtLQ0REZGqraZPn06njx5ora2S1JSEgCgoKAAz58/R1JSEvh8vs7uZK/y9PQEn8/H2rVrERkZiRs3biA6OrrCeFXtllaZ8t65cweXLl1CcHAwXrx4gZiYGNy4cQPbtm2rdD6I6aHKDSGkWijH2/i68rR29TA2aws2XhaZ4cZ9CSRSBnxe1bqp/XrzT8w9thldG7bByr6faXx+M7UEUhmDJj4CcLR0W7n5LAUb/vwJi3p+DJHAvEp5IYRUTdkuaq92RasO0dHRcHR0xKJFi/DgwQPY2NggMDAQM2bMqLZ9DhkyBNnZ2Zg3bx7S09PRtGlTxMfHw8vLS7VNenq6xgxkZccBXblyBTt37oSXlxdSU1MBACdPnkRoaChSUlLg7e2tsV8HBwfExsZixowZWLNmDQIDA7F8+XL06dOnWsqpVJnyyuVyrFixArdv3waPx0NoaCjOnTuntVyk7qLKDSGkWiQrx9v41ExXKG8XLoR8KYolPNxMKUGLRlVrQckpyoWAy0NLVz+tn+/8LQ9/XivGuD7WeP+VBTLlCgW+OLwGD1+kY+O5n/C/UO1vamva85cyJN0uQVgwteKQN4+uLmrVgcViYfLkyZg8eXLN7PBfEydOxMSJE3V+HhsbqxFW0VT9qampaNCggcb4obKGDh2KoUOHGpSuMRhaXn9/fyQmJlZzrkhto8oNIaRavNVCCA6HhVaNaqZyw2Kx4GFbgDsZ9XD1trjKlZvx7frj3RZh4OqYQcfWigMrCzbaNhFqfMZhszE7bDz2JB3D2Lb9qpQPYyksVmD4V08hlZWOgaJZ0wgh+jh69CgWLlwInrEHMxJSTahyQwipFs0bmKF5g5odf+Jhl6eq3IzpXfX0rIXa12cAgKihtpg8pB7YOnq/tfFsgjaeTaqeCSOxELLRqpEZCooVyC9SVByBEEJQOuCekLqEKjeEkNeGp10BAOBWqgRFYgXMzQwf65MnLoBYJoGjqOL+KxxdNRstnuRmws26ams6VFV0pIPaVLmEEELI64bmvSOEGN2t1BL8lVyMghpuIbASSuBix4FcAfx9t6RSaexJSkDE5k+w4c+ftH7OMAxe5sv1To9hGKw+vQu9v5uCc6nXKpUnY6GKDSGEkNcdVW4IIUZ34GQ+vlj3HHuP59X4vru1EaLnWxaws6ncatP3sh5BppDDw0b7QnCp6VIM/PIJpq56pteAWRaLhSKpGHJGgYsPb1QqT8YmkzPIyJbVdjYIIYQQo6NuaYQQo1Mu3hlQQzOllTUiwrJKA1+X9JqMccF94VXPRevn/zyQgGEAMz5L7/VvPu04FB18WqKjb6uKN65m1+6K8fXmLDjacrB5uvYyEkIIIXUVVW4IIUaVWyDH48zSVoHG3tW/eGd1aOTgpfOzXh1ECG5ihkKx/tOcmvPNTKJiAwDeLjwUFCvAeQnkFylgaU4N+IQQQl4fb/Rd7fTp0+jduzdcXV3BYrHw888/q30+evRosFgstX/t2rWrMN19+/YhICAAAoEAAQEBOHDgQDWVgBDTc+thaauNuyMXVhaV6xpWVXI5g38elCDlqUTvOHniAkjl+nXVcqjHhbdL5VqHiiRirDu7B/klRZWKX1XWIg42fuGMHxe5UcWGEELIa+eNvrMVFhaiRYsWWLdunc5t3nnnHaSnp6v+xcfHl5vm+fPnMWTIEIwYMQLXrl3DiBEjMHjwYFy8eNHY2SfEJN38d/HO2uiSpvTdwZf4ZPkz7D+Rr3ecDX/uRfimSfj15p/VmDPgs0Mr8e2FA1hx8odq3U95GnrwDZrpjRBCCKkr3uhuaREREYiIiCh3G4FAAGdnZ73TXLVqFcLCwjB9+nQAwPTp03Hq1CmsWrUKu3btqlJ+CakLklNKW0v8fWqvS1qLhmbY83s+rt7Wb8Y0BaPAxYfXkVOUCxuhpc7tVu/JgUTCYFA3S/i4Vq5844P7ISX7CcIaVdwKXBMYhtF77BAhdVl6XhZeFufDRmgJFyv72s4OIaSavNGVG32cPHkSjo6OsLGxQefOnbFgwQI4Oupeq+L8+fOIiopSC+vevTtWrVqlM05JSQlKSv57CMvLK51hSiqVQiqVVq0AxKiUx4OOi3YKBYNbqaXnciMPTo1+T2WPjb83Bxw2kJ4lw6OMYjjbVXyp2zlsPs4/vI5AVz+t+ZbKGCRcLESRmME77cwglVauQtDcuQH2j1oGHodbq+fRmaRi/PhHITq2NMPgbroXKzUW+u2YLlM+NlKpFAzDQKFQQKGo/NTy6XlZ6Pf9Z5DIpeBzePh5zIo6UcFRzsio/A4qsnHjRixfvhzp6elo0qQJYmJi0LFjR53bnz17FtOnT8etW7dQVFQELy8vfPDBB5gyZYqxilCtDC0vAGzYsAHr169HamoqPD09MX36dIwcOVLn9gqFAgzDQCqVgsNR72ptir8ZQpWbckVERODdd9+Fl5cXUlJSMHv2bHTt2hVXrlyBQKC9y01GRgacnNSnkHVyckJGRobO/SxatAhz587VCD9x4gTMzc2rVghSLRISEmo7CyaJYYA+rczw7KUFbiYl4s7fNZ8H5bFxtGqI9JcibN93GU3dc/SOf/RWutZwBQN0bypCWrYV7v+TiAfJRskuZAo5uOyaH5t0/ZEd7qR5IvflS4hK7tTYfum3Y7pM8dhwuVw4OzujoKAAEon+Y+he9SQrAxJ56YOoRC7Fk6wMWKDuTHiSn19xF9v9+/cjKioKy5cvR3BwMGJjY9GzZ0+cP38eHh4eOuONGTMGTZo0gYWFBc6fP4+pU6eCzWZj9OjRRiyB8VWmvFu2bMHcuXOxatUqBAYG4sqVK/jkk08gEAh09uSRSCQoLi7G6dOnIZOpj8ssKqqdsZOkfCxGn4Ua3gAsFgsHDhxAv379dG6Tnp4OLy8v7N69GwMGDNC6DZ/Px7Zt2zB06FBV2I4dOzBu3DiIxWKtcbS13Hh4eCA9PR12dnaVKxCpFlKpFAkJCQgLC6vSdMPE+F49Ntvi87HztwJ0CTTD9FH1dMYTyyQw49bOQ87FtBuY//sWfNl1NN7yblGj+35ZIMeZJDE6NDdDPavqr1zRb8d0mfKxEYvFePToEby9vWFmZqYKL5aW3k/NuAJVt0qpXAaZQgYOiwM+t7Qc6XlZeJafjdQXTzH32Leq+PO6R8LDxgn1zK3Upn1Xpivg8sFmsVXp8jiGvQtmGAbLly/Hpk2bkJ6ejkaNGmHmzJkYNGiQwenk5+fD0tKywu6jISEhaNWqFTZs2KAKa9KkCfr27YuFCxfqvc+BAwfCwsIC27dv1ztOXFwc1qxZg9u3b8PCwgKhoaFYuXJluT1dqqoy5e3QoQPat2+PpUuXqsKioqJw5coVnD59WmscsViM1NRUeHh4qJ2DAJCdnQ0XFxfk5ubCysrKCKUixkAtNwZwcXGBl5cX7t69q3MbZ2dnjVaazMxMjdacsgQCgdaWIB6PZ3I3GlKKjo3pUh6bNv7m2PlbAa7dk4DL5ep8MJjx63o8zXuOz7uOQgvXRjWa1/NpfyM9PwvbrhxGl4ZBNbpvh3o8DAg1q3hDI6PfjukyxWMjl8vBYrHAZrPBZv83B1L7tWMBACcmboateelD5fZLR7Du7B4MaNYVX3f/QK0rGlD6EpNhGLBZLHz12zcAADaLhfgJa1Vd1Hp+9yleFOdj3+hlaGBf+vb/8I0zGNi8m0H5njlzJvbv34+NGzeiYcOGOH36NEaOHAknJyd07txZa5zIyEjExcWVm25ycjI8PT01wiUSCa5cuYIvv/xS7XsKDw/H+fPn1cLKk5iYiPPnz2P+/Pl6xwEAmUyG6Oho+Pn5ITMzE1FRURg7dmy5kzDVRnlLSkogFArVPjc3N8elS5cgl8u1nv9sNhssFkvr78PUfi+kFFVuDJCdnY1Hjx7BxUX3wnchISFISEhQG3dz7NgxtG/fviaySEit2nLoJextOAhtbV5r00Ar+fsIIOCx8CJPgdR0qdYJAApKinAmJRHF0hIIebpnd0vPkuFMUhFCmgnh4WS8m9nHHd6DBd8co9v0NlqahJBSL4vzVRUb4L/xK4oyHVYUDIOXxflGHX9TWFiImJgYHD9+HCEhIQAAX19fnD17Fps2bdJZuZk3bx6mTZumFqZQKFBQUACRSAQ2mw1XV1etcbOysiCXyw3uFq/k7u6O58+fQyaTYc6cORg/frw+RVUZO3as6v99fX2xZs0atG3bVpV3bbSV91XGLm/37t3x3XffoV+/fqpuaVu3boVUKkVWVla5z3ek7nijKzcFBQW4d++e6u+UlBQkJSXB1tYWtra2mDNnDgYOHAgXFxekpqZixowZsLe3R//+/VVxRo4cCTc3NyxatAgA8Omnn6JTp05YsmQJ+vbti4MHD+L333/H2bNna7x8hNSk4hIFdv2WBwUDtG8urO3sgM9jYeowW7jYc3VWSEQCcxwZvwZnUxLLXbjzTFIRvtn/EpdvirH0E+N1sxDyBJj41rtGS68yLlwvxvErhRjdywau9m/0LYHUIecnxwKA2kuJ0W164/3ACNUYNhuhJfgcnqqCw2axoPi35UZZweFzeGozJMZPWAsAMOP99zKkTxPtlRFdkpOTIRaLERYWphYukUjQqpXuxXwdHR01unEpFArk5eXByspKr5aUV1uo9Z0N8cyZMygoKMCFCxfw5ZdfokGDBmrd6yuSmJiIOXPmICkpCTk5OarJD9LS0hAQEKA1jrbyGsrQ8s6ePRsZGRlo164dGIaBk5MTRo8ejaVLl2pMFkDqrjf6Tnb58mWEhoaq/p46dSoAYNSoUdi4cSOuX7+O7du34+XLl3BxcUFoaCj27NkDS8v/LoRpaWnqTeXt22P37t2YNWsWZs+ejfr162PPnj0IDg6uuYIRUgvupEmgYAAHGw4cbEzj0hIWbFHhNnYW1ujbtEu527jYc9G6sRk6tKjeStvZB4lo7toIVmYV59tYfjqeh8TbJfB15eO9cOozTuoGc75ml0oeh6s2NsbFyh6Hxq3Ey+J8PMh+ghnxpWvaKRgGC3t8DF87N41poXWlawjlg/2RI0fg5uam9pmuyYiAqnXTsre3B4fDMbhbvJKPjw8AoFmzZnj27BnmzJmjd+WmsLAQ4eHhCA8PR1xcHBwcHJCWlobu3buXOwlEbZRXKBRi69at2LRpE549ewYXFxds3rwZlpaWsLc3/dnziH5M4wmklnTp0gXlzafw22+/VZjGyZMnNcIGDRpk8KBBQuq6myawvo0hFIxCNWC4Ih1bmqNjy+qduXDd2T349sIB9GnSGdERH1Xrvsrq+ZYIPq58BPnX/PgbQqqbi5W91i5nvnZu8HfyqZZ9BgQEQCAQIC0tTWcXNG2q0i2Nz+ejdevWSEhIUOtdkpCQgL59+xqUf4Zh1CY5qsitW7eQlZWFxYsXq2Ypu3z5coXxqtItrarl5fF4cHd3BwDs3r0bvXr1MmiMETFtb3TlhhBiPMkppTdDf2/dbyZrw4XrxTh/oxi9O4jQwOO/itdHexfB1twak94aDHeb6pvRR19v+bTE95cOoZ7Q0qCKV1V1DbJA16CaaykipDaU7aL2alc0Y7O0tMS0adMQFRUFhUKBDh06IC8vD+fOnYNIJMKoUaO0xqtqt7SpU6dixIgRCAoKQkhICDZv3oy0tDRERkaqtpk+fTqePHmimglt/fr18PT0ROPGjQGUrnuzfPlyfPLJJ3qX19PTE3w+H2vXrkVkZCRu3LiB6OjoCuNVtVtaZcp7584dXLp0CcHBwXjx4gViYmJw48YNbNu2rdL5IKaHKjeEkCpjGAY3U0tbbgJMrOXm1/MFOJNUDAcbjqpy8/BFOi48vA4Oi40pnYaVG//+Ywk8nHjg8yq3aKe+Wrn54fD41XViYUFC6pqyXdRe7YpWHaKjo+Ho6IhFixbhwYMHsLGxQWBgIGbMmFFt+xwyZAiys7Mxb948pKeno2nTpoiPj4eX13/jCdPT05GWlqb6W6FQYPr06UhJSQGXy0X9+vWxePFifPjhh6ptTp48idDQUKSkpMDb21tjvw4ODoiNjcWMGTOwZs0aBAYGYvny5ejTp0+1lbWy5ZXL5VixYgVu374NHo+H0NBQnDt3Tmu5SN1F69yYoLy8PFhbWyMrK4vWuTExUqkU8fHx6NGjB00BWUZmjgzvzXoKDhv4JcYdZvyab97XdWwOnsrH6j0v0LKRADFT/uuLfSP9Pm5k3MN7rbrrTFMuZzDgiyeQyhhs+MIZ3i6v7zFPeybF33dL0KuD9pmNqop+O6bLlI+NWCxGSkoKfHx8NNYYeRMYOqFAdYiNjcWCBQuQnJxscudHTSjvHMzOzoa9vT2tc2NiqOWGEFJlKelSsFiArxuvVio25WnVuPRm9M+DEpRIFBD8m7+mLvXR1KV+uXEzcmQQ8FlgsQAPx5q7XOYU5WHRH1vRK6AjOtdvXe37yy2QY+y8dCgYoHVjM7jQrGmEkH8dPXoUCxcufCMrNqRuojsYIaTKgpsIcWi5O3Ly5LWdFQ0ejlzY23CQ9VKOGw8kaN1Y/7e/bg487FngiswXcnA41dstraydV3/FsdsXcP3pPbT3bmHwbE2GshZxENjYDCwWUCRWVOu+CCF1y+7du2s7C4QYhCo3hBCjsBCyYSE0rVYboHQdhEA/Mxy7WIjLN4ux6e/lCHT3x/utI2ApqHgGNBaLBSfbmr1Ujg/ujwfZTzA+uF+1V2yUFk9yAJtdcxU4QgghpDqY3pMIIYQYWaBf6Qxup+5cx8W0G9j21y+o6DFeoai94YhmPD5i+k5FgLNvje2TKjaEEEJeB9RyQwipkruPJFj34wsE+ZthRA/r2s6OVspxN+xib8wf9DHySvIgqqDV5udTBYj/swADu1kiIqR6Btnr63nBCwi4PFiZVX8+xBIFsl7K4e5I/esJIYTUPVS5IYRUyY37Jbh+vwRCM9N98+9gw8Weha5wsOEC0FztWpsLN4rx4KkUBUW1Owbl5P0rmP3rBnTyDcSCHpOqdV9/JRfj681Z8HblYcPnztW6L0IIIaQ6UOWGEFIlN/9dvDPAx7QW73xVacVGf7PG2uHSP2I0a1C75bIVWqGgpAj3sx+jSCKGOb/6psOt786HRMogN1+OYrECQjPquUwIIaRuocoNIaRKkv9dvNPf27QW7yxLIpPif7+swjv+b6Fr/bYQ8Cq+9FlZcPB2W4sayF35mrs2xDeDZiDQ3b/aJxewteJg62wXeDhxwWKZbkscIYQQogtVbgghlZZbIMfT5zIAgL+36bbc/H73Ik7ev4ILD+5h3RNXxH7lbnBLTm0K9mpWY/vydKaxNoQQQuou6nNACKm0mymlrTaeTlyIzE33ctLGowk+aj8IzrK3USxmI/F2ic5t5QoGy+Oy8fulQkiktTdjmjYMw2D/38dx+v7VGtmXXG5a5SekKvLTJHh+tRj5aZLazgohpBqZ7tMIIcTk3UwtrST4m/p4G1E9RLYfhJ5+YQCAxNtindvefihB/LlCrN6dA7aJXSH3Xz+Oucc2Y+6xzcgtLqi2/Rw9X4DR89Kx/2R+te2DkJqUnybBDr+7+LH1fezwu/vaVnA2bNgAHx8fmJmZoXXr1jhz5ky5248ePRosFkvjX5MmTWoox1VjaHkBYP369fD394dQKISfnx+2b99eAzklNcnEbt2EkLqExQLqWbJNerxNWcr1bq7eEoNhtLdK1LPk4P3uVujTyRJcjmmNO+kV0BGNHb0xMqhXhVNZV4VYwuDRMxnOJhVX2z4IqUniLDnk4tLfvFzMQJwlr+UcGd+ePXswZcoUzJw5E4mJiejYsSMiIiKQlpamM87q1auRnp6u+vfo0SPY2tri3XffrcGcV05lyrtx40ZMnz4dc+bMwT///IO5c+di0qRJ+OWXX2ow56S6UeWGEFJpo3vZYO9iN/R8q3bXgdElT1yAecc24+azFABA0/oC8LjA85dyPM6UaY3jYs/FuL42mNDPpgZzqh8Bl4+dwxdiVJte4FRjs1LnQHPMGG2HhRMdqm0fhFSFtFABaaFC7SWFXFIaJi/5b/r2/DQJ0v8sxPMk9dbarOtipP9ZiBd31LuoqtIts4ivvBLdUxmGwdKlS+Hr6wuhUIgWLVpg7969BqdjiJiYGIwbNw7jx4+Hv78/Vq1aBQ8PD2zcuFFnHGtrazg7O6v+Xb58GS9evMCYMWMM2ndcXByCgoJgaWkJZ2dnDBs2DJmZmVUtUrkqU94ffvgBH374IYYMGQJfX1+89957GDduHJYsWVKteSU167Wq3FT3hYMQoonFYoFjYi0cSgdvnMK+v49j9q8bwTAMzPhsNPm3C93VcrqmmbKylRoFo0CxVPf4ocqqZ1k6U5yF8LW6RZDXyGZRMjaLktVaYBKXZWGzKBmnP04H8F9XtP0dUnBi3BPVEw+LDRwf/QT7O6Rgl796F7Xt3rexWZSMnJv//a5uxb4wOH+zZs3C999/j40bN+Kff/5BVFQUhg8fjlOnTumMExkZCZFIpPbPysoK7u7usLKygkgk0tkqIZFIcOXKFYSHh6uFh4eH49y5c3rne8uWLXj77bfh5eWldxzl/qOjo3Ht2jX8/PPPSElJwejRo8uNo628r/4zdnlLSkpgZqY+nb5QKMSlS5cglUr1KywxeXVnuiAAMpkMt2/fBo/HQ6NGjVThBw8exFdffYVbt25h0KBBtZhDQt4cEikDHhcmPWVwa3d/9PB/C209m6ry2aqxGZLuliDxthh9O1mqbX/7YQnYbBYauPNMulwA8PhlJr4+uhGOlrZY1POT2s4OISanbFc0AMC/DTpMmXV5GUXpdpb6re2rl8LCQsTExOD48eMICQkBAPj6+uLs2bPYtGkTOnfurDXevHnzMG3aNLUwhUKBgoICiEQisNlsuLq6ao2blZUFuVwOJycntXAnJydkZGTole/09HT8+uuv2Llzp17blzV27FjV//v6+mLNmjVo27atKu/aaCvvq4xd3u7du+O7775Dv379EBgYiCtXrmDr1q2QSqXIysqCi4tLufkhdUOdqdwkJyejV69eePjwIQCgb9++2LhxIwYPHoxr165h/PjxOHz4cC3nkpA3x7qfXuD89WJM6GuN8Ham2S0twNlX48E/yN8MibfEaN5AczHM7w/n4tI/YkwcZINBXa1qKpuV8rI4H1ef3AKfw8fT3OdwtTZ+F7I//irEiStFmDy4Hhxt68ztgrwBPigIAABwzf97CdHqf/ZoMcUe7H9PVTN7DjhmLFUFh8Uurcwo/wsAHAELZvYcVRojU/1K0xX+l27j0fUMyltycjLEYjHCwsLUwiUSCVq1aqUznqOjIxwdHdXCFAoF8vLyYGVlBbYeXVFffSnDMIzeL2piY2NhY2ODfv366bV9WYmJiZgzZw6SkpKQk5MDhaL0C05LS0NAQIDWONrKayhDyzt79mxkZGSgXbt2YBgGTk5OGD16NJYuXQoOh6MzHqlb6szd6ssvv4SPjw/WrFmDHTt2YM+ePbhx4waGDx+Ow4cPw9LSsuJECCFGk5xSguxceZ1bxd7fW4CYKCeNcIZhYCFkw4zPQuvGmhUfU9PUpT6+Dv8QQR7+1VKxAYBDZwpw/V4JWjQU4N1upl3ZI28WnoXmdYfDZ4NTZm4TS08+3r/dEOIsOXJuluD34Y8BlFZs3o5zh62/AGb2HFh6/hdJa7o8w1pxlQ/2R44cgZubm9pnAoHumSUjIyMRFxdXbtrJycnw9NRsZrK3tweHw9FotcjMzNRo3dCGYRhs3boVI0aMAJ9v2AQxhYWFCA8PR3h4OOLi4uDg4IC0tDR0794dEonuWelqo7xCoRBbt27Fpk2b8OzZM7i4uGDz5s2wtLSEvb19BSUldUWdqdxcunQJ8fHxCAwMRIcOHbBnzx7873//w4QJE2o7a4S8cYrECqQ+Le2fbIozpT3JzcRvt86jf7NQ1DPX76GcxWJh9lh7VXe7uqBfsy7Vmn7fTiK0bChAcFNhte6HkOpi6cnX2uXM1l8Ah8DqOa8DAgIgEAiQlpamswuaNlXplsbn89G6dWskJCSgf//+qvCEhAT07du3wn2fOnUK9+7dw7hx4/TOr9KtW7eQlZWFxYsXw8PDAwBw+fLlCuNVpVtaVcvL4/Hg7u4OANi9ezd69eqlV8sYqRvqyC28tDaufANiY2MDc3Nzgy4ahBDjuf1QAgUDONpyYG9jepeRn679ju8vHcLVx7ewbuAXWrfJLZAj9akULRqpt9LwDXxLaypSsp/geeFLtPU03voUXYMsjJYWIbWpbBc1jpl6VzRjs7S0xLRp0xAVFQWFQoEOHTogLy8P586dg0gkwqhRo7TGq2q3tKlTp2LEiBEICgpCSEgINm/ejLS0NERGRqq2mT59Op48eaKxtsuWLVsQHByMpk2bGlxeT09P8Pl8rF27FpGRkbhx4waio6MrjFfVbmmVKe+dO3dw6dIlBAcH48WLF4iJicGNGzewbdu2SueDmB7TeyrRgcViqf2w2Ww2eDxeLeaIkDeXcvHOAG/TXLwzwMkXTZx8MbBFN62fP3omxai56TDjs3BwuTs47NK1XczrWBc7pauPb+HDnxZAJDDH/tHL9G6tIuRNUbaL2qtd0apDdHQ0HB0dsWjRIjx48AA2NjYIDAzEjBkzqm2fQ4YMQXZ2NubNm4f09HQ0bdoU8fHxajOfpaena8xAlpubi3379mH16tVa0z158iRCQ0ORkpICb29vjc8dHBwQGxuLGTNmYM2aNQgMDMTy5cvRp08fo5bvVZUpr1wux4oVK1STU4WGhuLcuXNay0XqrjpTuWEYBo0aNVINFCsoKECrVq003mTk5OTURvYIeaPcTCntR+3vY3pd0gAg3K8dwv3a6Vyo092Ri3qWbLzIVyA5pQRCARsfL8tASDMh5n5Q99Z2aepcHx42TnCytINMYdzFCRmGwe2HEiSnSDAglMY2krpLVxe16sBisTB58mRMnjy5Znb4r4kTJ2LixIk6P4+NjdUIs7a2RlFRkc44qampaNCggcb4obKGDh2KoUOHqoXpuv4ak6Hl9ff3R2JiYjXnitS2OlO5+f7772s7C4QQlN6wkv9tufE30ZYbJV2z5rBYLLT0M8OJy0VIvC2GhZANWR1esJzP5eG7IV+hntDS6FNY5+QpMGnZMzAM0KGFkGZNI+QNc/ToUSxcuJB6y5A6o87cpXT1USWE1CypDOgWZIHbDyVo6GFaN7vMklwcv/cXuvkFg8suv0994L+Vm6u3S7DmMye0ayqETF79bxqri+0rXdEMmQK2PHbWHLTxN4O5GRsllVipnRBSt+3evbu2s0CIQepM5YYQYhr4PBYmDjJs3YeacvbFTSQdicd7T7tjercx5W4b6Fc6kcDNlBIUixXwcDKtilplSeUyfH/pENJeZGB+D93dNQyxaJKDyS9qSgghhAB1qHLj4+NT4c2VxWLh/v37NZQjQoipqccTwUZoiZ7+HSrc1sWeCxc7DtKz5bh2rwTtXpPpjlNynuCbc3shZxQY0DwUge7+VU6TKjaEEELqijpTuZkyZYrOz1JTU7Fp0yaUlJTUXIYIeUPdflgCTyeeSS7eGWrXFAvCo2Bupl9FpVVjM6T/WYith17Cw4kLN4e633rTyMELn3R8D44iW7Rya2zUtHML5MjJk8PH1TQnkiCvr5oYnE6INnTu1T11pnLz6aefaoTl5OQgOjoaGzduRHBwMJYsWVILOSPkzSGRMpi84hnkcmBHtCucTHBwOZ/L07uloVuQBRIuFOLeYymKxK/PDWxMW+NPwXomqQjzvsuCv48Aaz6reMVzQoyBwykdOyeRSCAUvh6tq6RuUc4kRxMq1B2m92Sih+LiYsTExGDZsmXw9vbG/v370aNHj9rOFiGvvftPJJDKACsLNhzrVd8ieIa6nfkQCrnh0501rS/A7HH2uHavBA3cX88bl0QmxcMX6WjoULU5cBt78SFXAGKJAhIpU2cXOyV1C5fLhbm5OZ4/fw4ej/fGrSKvUCggkUggFovfuLLXNoZhUFRUhMzMTNjY2Kgq2sT01anKjVwux7fffou5c+fCzMwMa9euxfDhw6k/OCE1RLm+TYAP36R+d6tP78SfqdfQ06E1ekD/Fx08LgsdWpqjQ0vzasxd7UnPy8LH+5cgu/Al9o1eDjsL60qn5VCPi13zTbO1jry+WCwWXFxckJKSgocPH9Z2dmocwzAoLi6GUCg0qWvum8TGxgbOzs61nQ1igDpzl/rxxx8xa9Ys5ObmYsaMGfjoo4/A51O/b0JqUnLKv+vb+JjO+jYyhRwWfCG4bA4amrsYHP9ZjgynE4vA47LQr/PrtUilvYUNWGABYOHRy4wqVW4AUMWG1Ao+n4+GDRtCIpHUdlZqnFQqxenTp9GpUyfqFlULeDwetdjUQXXmTvXee+9BKBRi6NChePjwIb788kut28XExNRwzgh5c9xMLX248Pc2nRcLXDYHy/pMwfO8HJw7cUbveE+eS5F4uwRcDrBx30u4OnArrNzIFQpcfXwTWYUvYW9hg0B3f3BMuKsIj8PF8j5TYG0mQr1X1sGpCoWCgUwO6ppGagybzYaZmVltZ6PGcTgcyGQymJmZUeWGED3VmcpNp06dKpzq2dAm29OnT2PZsmW4cuUK0tPTceDAAfTr1w9A6duSWbNmIT4+Hg8ePIC1tTXefvttLF68GK6urjrTjI2NxZgxmutrFBcXv5EXZvL6eJEvR3qWDCwW0NjbdFpulGyEhrW6nLxShC2HchHkbwY2G3j6XIaMbBmc7bRfFn+/cwlLj8fiWUGOKsxJZIvPu47G243aVinv1cnbVvf1qjIOnMzHzt/yMDTcCgNCX6+WLkIIIXVfnancnDx50uhpFhYWokWLFhgzZgwGDhyo9llRURGuXr2K2bNno0WLFnjx4gWmTJmCPn364PLly+Wma2Vlhdu3b6uFUcWG1HU3/+2S5unMg0hoGq0Vd58/gpNlPViZiQyO61iPiwAfPjq1MkeRWIHkFAmu3hKjx1uaaf1+5xKmHYrBq/OpZRbkYNqhGCzvM9WkKzhKSU9u4/jdvxDV+f1K99+XKxhk58px4UYxVW4IIYSYnDpTudFFJpNBLBZDJDL84SYiIgIRERFaP7O2tkZCQoJa2Nq1a9G2bVukpaXB01P3zEMsFosGn5HXTn13Pj4ZXM9kuiIxDINZv65Has5TxPT9DG3dAwyKHxZsgbBgCwBA5gtZaeXmtmblRq5QYOnxWI2KDQAwAFgAlp7YhtAGQSbdRS2r8CUm/DgfErkUzVwaIMyvXaXS6draAq72XAT507S8hBBCTE+dqdzEx8cjOzsbI0aMUIUtWLAA0dHRkMlk6Nq1K/bs2YN69epVWx5yc3PBYrFgY2NT7nYFBQXw8vKCXC5Hy5YtER0djVatWuncvqSkRG0B0ry8PAClXeOkUqlR8k6MQ3k83sTjYmsJ9HqrtAXSFMr/sjgfMrkcDMOgkZ1HlY5N8/qll8LE22JIJBK1Vo3Lj2+qdUV7FQPgWX42Lj28gSB3f4P3XVOs+RYY1bon0vOzEOjauNLH0NIcaOPPAyCDIUm8yb8dU0fHxnTRsTFtdFxME4upI0uvdu3aFQMHDsSkSZMAAOfOnUPHjh0xb948+Pv7Y+bMmYiIiKj0hAIsFkttzM2rxGIxOnTogMaNGyMuLk5nOhcuXMC9e/fQrFkz5OXlYfXq1YiPj8e1a9fQsGFDrXHmzJmDuXPnaoTv3LkT5uav5xS1hBgDwzDIkRbAjm9Y96icAgFszEugbGiRKVjY9EdzyBRsvN/+JszNc/FYnI3H4mwkFzxCpiS3wjQHOYeguaV3JUpRcxiGoelkCSHESIqKijBs2DDk5ubCysp4k7aQqqkzlRtHR0f89ttvqhaQqVOnIjk5GUePHgVQ2rLz6aef4u7du5VKv7zKjVQqxbvvvou0tDScPHnSoBNYoVAgMDAQnTp1wpo1a7Ruo63lxsPDA+np6bCzszO4LKT6SKVSJCQkICws7I2auSYzR46rt0sQ4MODp7NpllvfYyOVMRg84xk4HGDdNHs41GOjUFKMRVvFuH5fgjEDS7Dor9kG7/+bgTNMuuVGm1xxAawrMV6JYRgc+bMIp5PE+GKEDeysK54q9U397dQFdGxMFx0b05adnQ0XFxeq3JiYOtMtLT8/X+1B/+zZsxg0aJDq7yZNmuDp06dG369UKsXgwYORkpKC48ePG3zystlstGnTptxKl0AggECgOfsUj8eji5mJetOOTdK9EqzcnYuWjQSImeJU29nB45fP4GLloHWMS0XHJvnRCyhYcsgVMsw9tRz/ZNxHaMMg/G9EJGxEbPB4wLq/zVHP3ArNXRqimUt9bDp/ADlF2ltvWAAcLe3Q1qupSY+5KUsslSDmVByO3T6PfaOXwc7CxuA0/ricg+QUCc5dl2JAqP4Tprxpv526hI6N6aJjY5romJimOlO5cXV1xc2bN+Hp6YmCggJcu3YNK1euVH2enZ1t9C5cyorN3bt3ceLEiUq1ojAMg6SkJDRr1syoeSOkJilnSgswgcU7ZQo5xu2ZBw6bg7X9P0d9e/cK4zAMg6+OfoOkJ7eR9jIDcGGDLbPF00dZAIB7zx+pLVD524frYcH/b8C8vYUtph0q7fKqran789BRdaZiAwAcNhtJT+/gRXE+Tt6/goHNuxmcxqCulniWI0eHFjSxACGEENNRZyo3gwYNwpQpUzBjxgzEx8fD2dkZ7dr9N9vP5cuX4efnZ1CaBQUFuHfvnurvlJQUJCUlwdbWFq6urhg0aBCuXr2Kw4cPQy6XIyMjAwBga2sLPr90EcORI0fCzc0NixYtAgDMnTsX7dq1Q8OGDZGXl4c1a9YgKSkJ69evr+pXQEitMaXFO1NznqJQIgaXzYa7jaPaZ/myYpy8fxk3nj1AsbQEM94eC6C02+ntzNTSig0AXzsXNHNtiBauDdHcpSF87dQrSOY89ZaItxu1xfI+UzXWuQGAz7qMrBPTQJfF43AxP+Ij5BTloZ1X5V68dGltYeRcEUIIIVVXZyo3X3/9NZ4+fYrJkyfD2dkZcXFx4HD+6+e9a9cu9O7d26A0L1++jNDQUNXfU6dOBQCMGjUKc+bMwaFDhwAALVu2VIt34sQJdOnSBQCQlpYGdpk3ti9fvsQHH3yAjIwMWFtbo1WrVjh9+jTatq1bDz+EKBUWK5CaXjojjL8JLN7ZwN4DCZEb8CD7MVJynuLK45v4++ld/P30Dp7mZQEppdvxOTxM6zICfG5pt4FJHQaDw+KiuWt9nevi/HahAD/9kY+urc0x7B1rtc/ebtQWoQ2CcPXxTWQVvsSepGNIfHIbZx5cxfDWEXVuoH4jB6/azgIhhBBidHWmcmNubo4ffvhB5+cnTpwwOM0uXbqgvPkU9Jlr4dXFRVeuXKnWXY6Quu52mgQMAzjZcmCrx8Dx6vIsP6d0fEyDIAh5AjRxro8pP6/AiXt/qbZhAfC1c0dLt0Zo5tIQijK/4c71W+OnP/KwZ38BBoaytLY8FJcwePBECisLsUblBijtztXGswkAoJlLQ/T//jNcTLuB4/f+QreGdfcFRn5JEY4kn8GQluEGVdLkcgbX7pbg7iMJhoTRYFpCCCG1r85UbgghtaM2xtuUyCS4lZmKa0/v4vrTu7iWfgfP8ku7gx0Zv0bVHa29dzPI5DI0d22IAEcfPLl2HwN699U5yPPPa8X454EEXYMUWj8P9CvtjvbPgxKUSBQQ8HWPo3G3ccSoNr3w7YUDWH7iB7zl3RJmvNrvtmcoiUyK97Z/ice5mbAys0AP/w56x83KlWPamkywWMDbbS30mjWNEEIIqU5UuSGElCs55d/xNj66H9zlCoWqu5a9hQ0C3f31HmCvbCFVthjEXYnHylM7IFPI1bZj/bvNF4fXYN2Az1HP3AqDW4ZjcMtwAKUTgMTfSCt3XzPH2OHCjWK0a6Z9ELyHExd21hxk58px44EErRuXPwvY2LZ9cfDGKTzNe47tlw/jg5AB+hTZpPC5PPRu0hmHk0/D2dLeoLhOtly0a2oGW2sOpLI6saoAIYSQ1xxVbggh5fp8hC1uPZTAS8f6Nr/fuaQx0N5JZIvPu47WOtC+WFqCm88e4NrTu/g7/S6uP72HBT0mIvjfge1OIlvIFHLUE1qVDvh3bYTmLg2QKy7AtEOrkCcugLXQ8LVZAMChHhe9O+pe8JPFYiHQT4CES0W4ektcYeXGnG+GqZ3fx5dH1uLhi/RK5ckUjAvui5FBPWHO139KZ6WFEx0r3ogQQgipIVS5IYSUy1rEQXAT7S0dv9+5hGmHYjSmR84syMG0QzFY3mcq3m7UFqk5T7Hz6lFcT7+HO88farTKXHt6V1W5ae/TAkfGr4abtaPG+I/D41cjsyAbbFb1TbvcurFZaeXmtliv7d9p3B5uNo5o7tKw2vJU3XgcLnic/24HCkZRrd8xIYQQUl2ockMIqRS5QoGlx2O1rvuiDFt6YhtCGwShWFqCPUnHVJ87WNRD83+nYW7u2hD+Tj6qzyz4QrU1Zspyt3HUmP5Zr7zKGaz76QVaNzZDSDMhOBzdg+Zb/dtaczdNgoIiBUTm5T/ks1isOl2xedWJe5ex5sxubH53JhxE9fSOl5kjQ36RAvXd6964I0IIIa+POlG5WbNmjd7bTp48uRpzQsib5eCpfDx/KUdoa3ONh9arj29qrPnyqmf52bj6+CZauTfGiNY90dSlPlq4NoKzpZ1Bs3JJ5TK1lgVD3XhQgoOnC3DiShH2LXErd1sHGy5aNhLAwYaDInHFlZuyMgty8GNSAj5q/26dWtRTSa5QYNP5fXiQ/RhbLh7El91G6xUv4WIhFm3LRsuGAsREOVVvJgkhhJBy1InKjb5TK7NYLKrcEGJEv10sxK1UCXxceRqVm6zCl3qlkVX4Elw2B9NCR1QqD88LXmBg7P/wTuP2+F/oyEpVcupZcjCgiwh8PhscdsWVqpgphj+gS+UyDN8xC8/yc+BiZY+BzbsZnEZt47DZiH5nIuJvnkVk+4F6x2vWQADl1yqTM+CW0zJGCCGEVKc6UblJSUmp7SwQ8saRSBnce1Q6U5q2aaDtLWz0Skff7XQ5dvs8csUFuP38YaVbbzydefh4sG2V8lERHoeLUUG9sPTEdqw9sxthjdrBykxzLR1T19DBA586DDUojrMdF/uWuMFaRFNBE0IIqV11r98EIaRG3HssgUwO2IjYcLbTfGgNdPeHk0h3hYEFwMnSDoHu/lXKx7DACGx+dyYmd3ivSukYSqEordwVFGlfE0ebwS3D4WvnjhfF+fjm3N5qzF3NYBgGlx8l67WgMVVsCCGEmII60XLzqsePH+PQoUNIS0uDRCJR+ywmJqaWckXI6yX538U7/X0EWsfHcNhsfN51ND47pPmbU279eeioKo89YbFYqpnUKuNOmgTmZiy4O2qfylqXz9dm4urtEkwfZYewYP1aYHgcLj4PHYnIvQuxO/E3DGzeDfXt3SuT7VrHMAxmxK9D/M0/MT9iIno36aRXPKmMgULBlLsAKiGEEFJd6tzd548//oCfnx82bNiAFStW4MSJE/j++++xdetWJCUl1Xb2CHlt3ExRdknTPfvV243aYkWfqXCwUJ9Vy9HSTjUNdFXo02JQkc0HXmDknHQc+bPAoHiNPEvLre+U0Eoh3s0R2iAIckaBpSe2GaUMtYHFYqG+nTu4bA5yivL0irPjaC4GfvEYRy8UVnPuCCGEEO3qXMvN9OnT8dlnn2HevHmwtLTEvn374OjoiPfffx/vvPNObWePkNdG2ZYbbRiGAYvFwtuN2iK0QRCuPr6JrMKXsLewQaC7f5VbbO4+f4Rpv6zEsFbvYEir8EqloVAw4HJZ4LCBlg21l0OXVn5m2J2Qj8TbYlVZ9fVZl+E4m5KECw+v49T9K+jSIMjQrJuE0W37oHP9IDR08NBrew6HhYJiBldvidG3k+7FUgkhhJDqUucqNzdv3sSuXbsAAFwuF8XFxRCJRJg3bx769u2Ljz76qJZzSEjdV1CsQJGYAYsF+Hlqttw8yc1E1MEYTOsyAm09m4DDZqONZxOj5mHf338gNecpLqbdqHTlhs1mYfEkR/yfvfsOj6JqGzj8m+3pvRdSgBCq9F4FBBVExAYIiK+9N+yv2DtW/CyvikhRRFFQREB6E6VJCaEFQkJ6L5ut8/2xkALp2WSz8dzXxaU7O+VsZss8c855ntIyK666hgVb3dprUasgM89Capa5QcPaIryD+U//SehNBvpEdG5os1sNlUJZ78AGYGw/N+KjNHSNbVggKQiCIAj24nTBjZubGwaD7Y5yaGgoJ0+epEsX20VVdna2I5smCG2Gu4uCFW+GkZFrwc2lalAgyzIvr/uCxMzTfLpjOX0jOjeoV6O+7h96IzF+oXQKjK575To0NLAB0GkUdI7WcuC4gb1Hyxo8Z+euQVMafMzWLKMol3mbF/HI8OkEeVSfSMLXS4mvl0gsIAiCIDiO0825GTBgANu3bwfgqquu4tFHH+WVV15h9uzZDBgwwMGtE4S2Q6GQCPG/9P7H6oTt7Dh9AI1SzXNjb2+WwAbATePCDZeNpXtoh0Ztb7XKGE1Nm+/SK04HNHzezcVkWabU2LR9ONrzv3/CmqM7eH3DV45uiiAIgiDUyOmCm3nz5tG/f38A5s6dy5gxY/juu+9o164dX3zxhYNbJwhtW25pIW9u/BqAOwdOJso31MEtqtmRJCOT5qTwxsKcRu+j5/ngZv8xA1Zr4wKl41lnmfXtXF5a93mj29EaPD5iBj3D4rhv8I21rme1yixdW8jdr6eTV2RpodYJgiAIgo3TDUuLiYkp/39XV1c+/vhjB7ZGENoei1Xm9lfSiQ5V89DNvni4VtwDeXvTQvL1RXTwj2Rm3wnNcvy/kg/z9d+/ML33lQxoQgrofYlllBlkjObG9950itIwfbwnl3XU0di9mK1mDqQeY39qIjdcNpaeYXGNbo8jxfqH89VNc+vsqVMoJDbvLeVYspGt+0qZKBILCIIgCC3I6XpuYmJiyMm59E5sfn5+lcBHEITGOX3OxOk0E38e1uOqq7iQ3Z60n1+PbENC4vkr7kCtbJ57I0v3/c7WU/v449juJu1n+nhPPnkymKljPRu9D5VSYvYEb3rF6VAqGjf8Lj4ommu7jQTgjQ0LsFjrXxS0takc2GQV59WY5vqmsZ48MtWX4b1cW6ppgiAIggA4YXBz+vRpLJZLhzoYDAZSU1Md0CJBaFsSTtvq28S101S5oN9w4m8ApvUeR7eQ9s12/AeG3sT03uMbnSHtAkmS6BipITa85jo9LeW+ITfioXUlISOJnw9tcnRzmmzFwY1M/OJhVh7eXO3zI3q5cvUQd7zcRXIBQRAEoWU5zbC0lStXlv//77//jpeXV/lji8XCH3/8QVRUlANaJghtS8L5+jado6qm83129G0MbNeNQVE9mvX4Ub6hPD5yZrMeoyEsVpndh8vYf6yM/1zjjVrV8B4cPzcv7ho0hbc2LuSDrUsZ3bE/njq3Zmhty8jXF1FqKmP9sd1c03WEo5sjCIIgCOWcJriZNGkSYLsbO3Nm1QsftVpNVFQU77zzjgNaJghty5HzPTfx0VV7PGwFO/s7okkN9uGyXFx1CiYMcSfQt2lfcxLw1jc55BdbGdzDhe7tdY3az42XjeWHA39wKjeVT3cub1UBXEPd0ucq/N28uTJ+SI3rGE0yfx7Wk5xuYto4rxrXEwRBEAR7cpphaVarFavVSmRkJJmZmeWPrVYrBoOBxMRErr76akc3UxCcWrHeSnK6CYD4aC0mi5mPtn1Hgb642Y+94fhfvLVxIcl56U3aj95g5ZdtxSxeU4je0LRU0GCbIH8ha9reo41P56xWqnh81AwA9qUkYrKYm9w2R1EplEzoMgylouafkOwCC89/ls1XqwrIF1nTBEEQhBbiNMHNBUlJSfj7+zu6GYLQJiWeMSLLEOKnxMdDydd/reLzXSuY9e1crHLzToT/+u9fWLRnNasTtjVpPwpJ4rFpflwzzJ3IYPt0Tl8IbvYlGpq0n0FRPfjw2jl8M+3lZkvI0NKsspUle9eQUVQ10Uuov4rBPVy4bpQHFufNoSAIgiA4GacLbgA2b97MhAkTaN++PR06dGDixIls3brV0c0SBKdnsch0jNTQrb2O07nn+HTnjwDc1v8aFFLzfV3Issx/+k9iWEwvrut+eZP2pdVIjOnvxoM3+dqtwGivTrbg5kiSAX1Z067Uh8X2qrXHw9m8uWEhb2xYwAu/f3ZJ9rSX7gzg7ut88PMSiQUEQRCEluF0v7CLFi1i9OjRuLq68sADD3Dffffh4uLC5ZdfzpIlSxzdPEFwav26uPDJk8E8fos3L639HKPFxKCoHlxVy9wKe5AkiaExPflw8hwC3H2a9ViNEeqvIthPicUK/5xsWu/NBWUmI4v2rMZoNtllf45y42Vj8HHxYET7Po5uiiAIgiA4T0KBC1555RXefPNNHn744fJlDz74IPPmzeOll15i6tSpDmydILQNPx3axN8pCehUWp4dc5vdekCaW16Jlg1/6xnYXYGnm317C3rF6Vi9o4S9R8vo38Wlyfu7c/kr7E9NxGA2cVv/a+zQQseI9gvjtzs+wkWtrXGd02kmSvXOHcQJgiAIzsHpem5OnTrFhAmXVkafOHEiSUlJDmiRILQNBqMVg9FKVnEe725eDMD9Q28kzCuwWY/729EdLNu/jlJj4yfrX3A0zYc3vsln3pJcO7SsqgvzbpLO2eci/foeowH4fNePZBTZv70tqXJgY7ZaqgxPW7mliNkvpfHFykJHNE0QBEH4l3G64CYiIoI//vjjkuV//PEHERERDmiRILQNW/bpufqRFO5c8A1FhlK6BMdyc89xzXpMq2zl4+3LeGX9F/zaxEQCAG4aM9EhKgZ0bXrPysUGdHVhwfMhvHFfgF32d1X8EHqEdkBvMvD+1rYxpPZkdgozl/yXFYc2li/rHa9DrQKdVkJuevI6QRAEQaiV0wxLmz17Nu+//z6PPvooDzzwAPv372fQoEFIksS2bdtYsGAB77//vqObKQhOK+G0AYsVBvlPpoePjpt6XtHsE98tVis3XjaW1Ue22WVeT/fIbJ68qx8qlf2/2txcFLi52O/vIUkST466lamLnuHXI9u48bKx9AjtaLf9O8K2pP0cSj9Jdkk+EzoPQ61UERagZsWb4aiVFlavdnQLBUEQhLbOaYKbr7/+mtdff527776b4OBg3nnnHZYtWwZAfHw83333Hddc47zj1gXB0RKSbMU7e7X3YVSfO1rkmGqlium9r2R67yvtul9nmSPUOTiGSd1GsOLgRl7/YwGLp7/crFnpmtv03leSW1rA1F7jq6S6dtUpMJlErRtBEASh+TlNcFN5DPe1117Ltdde68DWCELbYjBaScg8gUQEnaNrnhjemqXnmJt92FNGrpn/+yGPrDwL8+cE22Wf9w+5iXWJuziScYqfDm1icrdRdtmvIygVCh4ePq3G541mBWVGGbW6BRslCIIg/Ks41S1CZ7kbKwjOZtW+Q+SFfkRZ+AJ8vVpmYsRvCdv5M/nQJbVRGsNgtHLHa1l8uaULOQXN10Pg7qJg2wE9CaeNpOeY7bJPPzcv7hw0hZHt+9AnvLNd9tlaHM08TXphNgBfrCzks43d2LhH7+BWCYIgCG2Z0/TcAHTs2LHOACc317mzDglCSzOYjXy8+wsA/F190Kia/7a6wWzkjQ0LyNMX8dHkJxga07NJ+zudVpHBzNez+e7ZuLko6NROw5EkI/sSyxg/yN0u+72l95XM6HOVXfbVWqw6vIW5v39Kn4jOfDLladxcFFisCg6fMjJxmKNbJwiCILRVThXcvPDCC3h5eTm6GYLQpny+awU5hgwkswfXxl/fIscsMxkZ03EAf6ckMDCqe5P3F9dOy/evBrPsp41IUjs7tLBmvTrpOJJkZK8dg5uLb9qYLOYqc1acUbeQ9igVCtw0LuhNBsb2d8GQ8xczbhzh6KYJgiAIbZhT/XredNNNBAbar+bGli1beOutt9izZw9paWmsWLGCSZMmlT8vyzIvvPACn332GXl5efTv35/58+fTpUuXWvf7ww8/8Nxzz3Hy5EliY2N55ZVXxBwhoVU6npXMV7tXAtDP80b6x/u2yHG9XNx5ZsxtWGWr3SbQazUSfu5Nr5VTl15xOhb9Vsi+xDJkWbbrcNmcknze27KU3NICPpr8hFMPxY3yDWXZjDdo5xOCJEmoPU0EeOqd+jUJgiAIrZ/TzLlpjh/EkpISevTowUcffVTt82+++Sbz5s3jo48+4q+//iI4OJgxY8ZQVFRU4z537tzJjTfeyC233MKBAwe45ZZbuOGGG/jzzz/t3n5BaAqL1coLaz/DbLUwqkNfPrtnNF1iWjaZgDNmBuscrUWrlsgttFYZDmcPJcYyfju6nW1J+9l8aq9d9+0IUb6hIpgRBEEQWpTTXFnYY9LxxcaPH8/LL7/M5MmTqz3ee++9xzPPPMPkyZPp2rUrX3/9NaWlpSxZUnPBvffee48xY8bw1FNP0alTJ5566ikuv/xy3nvvPbu3XxCa4tv9v3Mw7QTuGheeuvzWFjvuusRdnCvIstv+vl1XyOMfZPLn4ebvtQHQqCW6xtqCwH2JBrvuO9InuDwt9tsbF2I02zd4chSD2chH27/jr/wTfLmqkFkvnKOgWKSGFgRBEOzPaYalWa3WFj1eUlIS6enpjB07tnyZVqtl+PDh7NixgzvvvLPa7Xbu3MnDDz9cZdkVV1xRa3BjMBgwGCoukgoLCwEwmUyYTG3j4qatuHA+2sJ5ae8bTqR3MGOjx1Ja4IJRY2z2u+z5+iKeWT0fk9XMsumvE+Ub2uR9btlbwtEzJgZ2VaGkZc5Nrzg1pWUW3HSy3Y83q/fVrDq8hbP5GXy9exWz+k6w6/4dYeWhzSz4+xc0kor4s1eTkuHClr3FjBvo6uimCbSt77W2Rpyb1k2cl9bJaYKblpaeng5AUFBQleVBQUGcOXOm1u2q2+bC/qrz2muv8cILL1yyfOPGjbi6ih//1mjdunWOboJdzPQbxk8bIlnxQxZjup6hc1jzZhvMNhYSpvFFbzVyeOc+jkj7m7zPfhFaAnRelGXn4qZtmXPjCoyNg7JMWL3a/vsf5t6JH0t28dnOH9GlGfBUOff3gEq20tk9gh4eUahL0ujmL1GWVcjq1S1700qoXVv5XmuLxLlpnUpLSx3dBKEaIripw8V3suszgbih2zz11FM88sgj5Y8LCwuJiIhg5MiR+Pn5NaLVQnMxmUysW7eOMWPGoHbSSoRmixnV+UxcFovMF5szAJnrJ/SmXXDzv6YZ3ESZyYBObd/5PW3h3FwwTrZyfFk2B9NPcESbzYtX3OXoJjXZFaYrbOfn2n5Of37amrb02WlrxLlp3XJychzdBKEaIripQXCwrfp4eno6ISEh5cszMzMv6Zm5eLuLe2nq2kar1aLVXnqhp1arxZdZK+Ws5yavtJCpi57h5l7jmNZrPGfSzRiMMm46iZgwFxSKlpn83Zx/u5Y8NyV6K/nFFsIC7H+8Jy+/lWmLn2FX8iFKzQa8XOyTdtrR1Go1ZqyUGPX4u3k7ujlCJc76vfZvIM5N6yTOSevkNAkFnn76aXbv3t1ix4uOjiY4OLhKV7DRaGTz5s0MGjSoxu0GDhx4Sffx2rVra91GEFrKO5sWca4wi58PbcIqWzmSZJvr1SlK2+yBzfakA5SZjHbbn9Ek838/5LH3aBlWq/0TjtRl054Srnk8hXlLmmcoX9eQWF6/+gF+nj2vzQQ2AEczTzNlwRzuWPIeX60SRZcFQRAE+3Ka4CYtLY2rr76akJAQ7rjjDn799dcqk/Abo7i4mP3797N//37AlkRg//79JCcnI0kSDz30EK+++iorVqzg0KFDzJo1C1dXV6ZOnVq+jxkzZvDUU0+VP37wwQdZu3Ytb7zxBkePHuWNN95g/fr1PPTQQ01qqyA01Y7TB1h1ZAsSEs9fcQdqpYqE07ZgIz5a06zHPpufzr0/vM4Vn91LkcE+Y5T/OVHG938U8eqCbLvsr6FiwjRYrXDopAGDsXnmjozvNAhPnVuz7NtR3DQuZBbnkZSTxjfrz1JYIrKmCYIgCPbjNMPSvvrqK2RZZtu2baxatYpHH32U1NRUxowZw8SJE7n66qvx9/dv0D7//vtvRo4cWf74wryXmTNnsmDBAubMmYNer+eee+4pL+K5du1aPDw8yrdJTk5GoaiIEQcNGsS3337Ls88+y3PPPUdsbCzfffcd/fv3b+JfQBAar9RYxktr/wfA1F7j6B7SAYCE8z03naOat75NWmEOIZ5+RPuG4aG1z+R4b3cl4wa64e2hRKGQsLTwNXJEkAo/LyU5BRYOnzLSq5Ou2Y4lyzLrjv3JwKjudvv7OUqEdxAfTn6cX373omN3L5ohy78gCILwL+Y0wQ3YJuoPHTqUoUOH8uabb5KQkMCqVav4/PPPufPOO+nfvz8TJ07k5ptvJiwsrM79jRgxotb6OZIkMXfuXObOnVvjOps2bbpk2ZQpU5gyZUp9XpIgtIiPt3/PucIsQjz8uW/IjQAUlVpJzjADzd9z0y+yC7/85wPy9TUXwG2o9hEa5tziuIQbkiTRK07Lut2l7E0sa9bg5oW1n7Hi4EZm9LmKR0fc0mzHaSkD2nVjwB2OboUgCILQFjnNsLTqxMfHM2fOHLZv305KSgozZ85k69atLF261NFNE4RW41DaSRbvteUrfnbMbbhqbBfhGhW8dKc//7nGCy93ZbO3Q6lQ4Ofm1ezHaUkXApq9ic1bQHR0h34ALNm7htO555r1WC3tz+RD/Hpkm6ObIQiCILQRTtVzU5uAgABuu+02brvtNkc3RRBalYTMJBSSgnGdBjIkpmf5cq1GweAergzu0XzHlmWZhIwk4oOi7Vog9GSKES93Bf7ejv0K6xVnC26OnTFSXGrF3bV57hcNienJsJhebDm1lzc3fM38655s9oKrLWH3mUPc8f3LaJVaeoR2RKlQkK8vwtvFgxDPhg0zFgRBEARoQ8GNIAjVu77HaC4L7YifA9LuHkw7wS1LnqNbSHsWTn0RhWSfi/8PluVx8ISBZ2714/K+jptwH+CjIjxQRUqmmQPHyxjco/nmwzw28hZ2nD7A9tMH2HJqL8NjezfbsVpK0rFwVPoYgtxDMVpM3PjVkxgtJjRKNStve1cEOIIgCEKDOfWwNEEQ6qdDQCS+rp7lj2VZZtFvBew+rMdsab4Z3SdzUtCpNET7htotsLFYZGQZJAm6xDRvIoT6uHGMJw/e5ENcu+adt9TOJ4Tpva8E4O2N32A0m5r1eC1hYDc3gnJvZ4jfzZSZDBgtttdktJjsOj9LEARB+PcQPTeC0AbJsszrGxYwqesI4oOiL3k+NcvMl6sKUKvgl3kRzdaOa7uN5PIOfdHbsb6NUinxwaNBFBRbWmSuUF2uGtxyNWjuGDiZX45sJTk/ncV7f+PWfhNb7NjNITJYzSfPulNiLuRUTtW5RKdyUgHEEDVBEAShQdpUcFNaWoqrq3OnSRUEe1hxcCPf7vudXw5v4fc75+N+UfrgI0m2YKNjpAa1qnnnbnjq3PFshkRirSGwaWluGhceHHozX//9C12DYx3dnCZLK8zmuoWPlPfYXKCQJJ5e/RGAGKImCIIgNEibGJZWVlbGO++8Q0xMjKObIggOl1Wcx7zNiwG4c9CUSwIbqFTfJrp5hnVZrFYyi+1ffd5ilbFYW19hlHPZZn7eXMSB482bNQ3g6i5D+W7G6/SN7NLsx2pu+fqiSwIbAGulFP1iiJogCILQEE4T3BiNRp555hn69u3LoEGD+OmnnwBbcc+YmBjmzZvHgw8+6NhGCkIr8MaGBRQZSugSFMPUXuOqXSfhtK3nJj6qeeaJbDm1l3Gf3sdL6/5n1/0ePGHguidSmb88z677bapVW4p4/7s8ft9V0uzHUkgKVIqKXqvaanW1dt4uHmiU6vLHErZeREWlTHAapRpvF49LthUEQRCE6jjNsLS5c+cyf/58xowZw/bt27n++uuZPXs2mzZt4rXXXmPq1Kmo1eq6dyQIbdiG43+x7tifKCUFz19xZ5WL4AvKjFZOppwPburZc1OUbKQs24LOX4lHZN0B0b6Uo1hkK+4al4a9gDr8daSMwhIrxaVWu+63qXp10vHd+iL2JpYhy3KLpGk2mk18s+dXdp05yKfXP2O3hA0tKcTTn5W3vcs3a9P4efdJigO/BWw9N69eeR+R3kH4uXmLIWmCIAhCvTlNcLNs2TIWLFjAtddey4EDB+jZsyeFhYUcPnwYlcppXoYgNJsiQymv/vElALP6TSAusF216x1PNmKxgp+XkkCfuuetFCUbWRx3HEuZjFInMS2xQ50BziMjpnN1l6F2v+M+e4IX/brocHdpXRfyXWO1qJSQmWvhXJaZsMDmv9FSaCjhiz9/psSoZ+WhLUzqNqLZj9kcQjz9+c8YH/p31fHALxXLA9y9eXPjQkZ16Ov0iRMEQRCEltO6rhBqcfbsWfr27QtAjx490Gg0PPHEEyKwEYTzlh9YT1ZxHpHewdwx4Loa1zt6pmJIWn16GMqyLVjKbEOfLGUyZdmWerWnY0A7At1967VufSmVEj066IgNb960yw3lolWUz1/am9j8824A/N28uWPAZAA+2LqUYkNpixy3Ofh6KekY6lM+RE2jVHM4/RT/pB3nq90rxZwbQRAEod6cJjIwmUxoNBUXNGq1Gi8vLwe2SBBal5l9r8ZFraW9fwQ6dc0X/5NHetAnXoe1jpFdF4ai5SYYqiy/8Li6IWoXaq9oVP++IaK9Oun454SBvYkGJgxtmTki03qP58eDGziTl8ZnO3/kkRHTW+S4zeHCELW80kJ8XD0J8fTHKsuMiO0t5twIgiAI9eY0wQ3Af//73/JUz0ajkZdffvmSAGfevHmOaJogOJxCUnBTzyvqXE+pkIgOrb3no/JQNNvOAStIClg/PcW2H63EtGNVh6itPLyZj7Yt446Bk2tMZtBY85fn4eOhYNxAd3w9W18a6F5xOhb8UsC+xDKsVhmFovnn3aiVKh4fOYP7fnyDxXt/Y3L3UUT5hjb7cZuDySyz7DcFOw9q+d/Tth6/2/pfU2Udq2x1yrlFgiAIQstxml+JYcOGkZiYyL59+9i3bx+DBg3i1KlT5Y/37dvH/v37Hd1MQWhxO04fQG8y1L1iA1QeigbA+V4euVJvj8UgU5phrrLdhuN/kacvxGyt39C1+irWW/lpUxH/+7kAvaF1JRO4oFOUBhetRLHeSmqWue4N7GRoTE+GRvfEbLXw1saFLXZce1OrJPYfM5CZa2HHQf0lz5/KSeXGhU9yPOusA1onCIIgOAun6bnZtGmTo5sgCK3O8ayz3P/jmwR7+PHNtJfxdfWsdf09R8tYu6uYQd1dGd6r5oK3On8lSp1UNcDB1nNzIcCRlOAaVPEVkvx7EfPGP8a21H30i+zc+BdVDYUE99/gw8kUE2EBrXPIm0op8faDgUQGqXFr4YQHj428hZ1n/mHXmYOczj3ntL03/7nGC5VSolfcpVVf3928mGNZyby18Ws+u+FZB7ROEARBcAZOE9wIglCVxWrlhbWfYrZa6BAQiU895iX8fUTPut2l6DSKWoMbj0gN0xI7UJZtIePPUjbfkwbYApvRi8Lx6aRB7V4x5yb/hIFV486g81dyy8neaHT2HTbmqlMwcVjrn3cRH9U8RVHrEuUbytwr7qRbSHunDWwABnev+T358vh7eGvjQh514nlFgiAIQvNzmuDmxRdfrNd6//3vf5u5JYLQOny3fy0H007grnHhqctn1yvz2ZELxTujq59zI8sy+97KxjNaQ/vrvfCIvHQd33gtAb2q1q8pOG3Ao50an85aNJXmw2Tt0+PbRYtS4zQjYJ3WhC7DHN2EZuXl4s7LV97j6GYIgiAIrZzTBDcrVqyo8TlJkkhMTKSsrEwEN8K/QlphNh9sXQrAg8OmEuRRd8pli0XmWHka6Op7GE6tKGTnExkoNBL+PXV4t9dWGaKm1Eno/C/tlVnjto7NL+7jjvjrgCgAjMUWVgxPQuWqYMrOGDxrCKjqkpxh4myGiV5xOly0rT9I+nZdIVv3lXL3dT50jXVMT05CRhIB7j74u3k75PhNUVBs4Y+/SskrtHDbNd41rrc9aT/L//mDN69+ELXSaX7KBEEQhGbmNL8I+/btq3b5/v37efLJJzl06BC33357C7dKEFqeLMu8su4L9CYDPcPimNLj8nptd+qcCYNJxs1FIiKo+o9+9DWexF7vSfAAV7zb2y7MKw9Rqy79syzLrDy0mZSCTEr6lJQvz080onZXoHZT4NGuYp5M4Wkj7hFqFMr6ZRP7fWcJS9cWMrqfK0/Pav2V6o+dMZJw2sieo2UOCW6+/msV725ewoQuQ3lpvPP1dOQWWvjo+zzUKrhxrGe1BVsLy0p44pcPKDKUsmTvb8zsO8EBLRUEQRBao9Z/G7QGSUlJTJ8+nb59++Ll5cXhw4f55JNPHN0swUGKko1k7dVTlGx0dFOa3ZrEnWxN2odaqeK/Y++od2rcI0m2jGrxUdoqaYrNZVZk2ZY4QKGUuOK7CC57pGoQ4RGpIaCXyyWBDdh6Tr+Z9jKPDJ/OmI79y5cH9nZhxpk4rv6tHdL548myzC9XnuGb6GNk/n1pRqzqeLgpCPZT0r+LS90rtwK9Otkmw7dUMc+L9QzvhIzMysNb+CftuEPa0BTRoRpG93Xl9kne1BT+eurceOPqB5jYZRhTe41v0fYJgiAIrZvT9NxckJ2dzQsvvMBnn33GkCFD2LFjB3379nV0swQHqlyTRamTmJbYodqL8LaiV1gcI2J7Ex8UQ4xfWL23S0iyBX6dKw0P02eb+eWqM7Qb706/uUEA9Zq7czFfV09m9r36kuVKtVTeAwRQlGxCn2nGXCbj3bGiHWW5ZrTeyvIgqLKbxnhy42gPrPIlT7VKPeNsrzchyYDeYG3xoXTdQzowscswVh7ewht/LOCbaS85XW2Yp2+tu4ducPRlDI6+rPkbIwiCIDgVp/nFKykp4YUXXiA2NpYdO3awatUq/vjjDxHYCFVqsljKZMqy7VtjpbUJ8vDjvUmPcfuAaxu0XYneiiRBp0rzbZLXFJO5W88/H+ZSmtn8tVk822mYmRLHNX9EVUk88MetqSzqeJyUDcXVbidJEspaimJaLTLnNpdSusWdc5tLsVocFwmF+qsI8lVitsDBE/atP1RfDwy9GTeNC4fST/LL4a0OaUNLW7RnNSsObnR0MwRBEAQHc5qem9jYWIqKirj//vu5+eabkSSJf/7555L1unfv7oDWCY5QlGykLNtCbkLVC8gLj6ubH+LMigyleGhtqXIlSULZwB6Wl+4KoLTMiqrSXJe46d6UZZuJuMId18CGfx28vfEbckoLuK3/NbT3j6jXNiqdguD+FSl/jcUW0raWYsiz4BZaMTfHXGYlv8yKv3ft7Tr5YwFbH0yjJMUMBPHLvLO4hasY+n4IsZO9Gvya6stqkUnbWkJJmhm3EBUhQ91QKCUkyVan5bedJexNLKOfA4bTBbj7cMeAyby7ZTHvb13KqA59cdfWnGa5NTJbZPYlluGqU9Alpva5S9uTDvDWxoUoJImuwbF0CKgmzZ8gCILwr+A0wU1mZiYAb775Jm+99Vb5HAGwXejJsowkSVgsbfuuvWBTeSgaABIgAwpYPz0FoE0NUdObDNy08El6hHXkyVGz8NS5N2o/rjoFWfv1+MZrUZ4fLtXjocZN0i81lvHjwQ2UGPVM6jq83sHNxTTuSmaejSNlQzE+nSouYrc9mc7Ob/JJH+fKS59F4Ol2aZa2kz8WsGbKWdu5r6Qk1cyaKWcZt5xmCXCqBlQ2lQOqXp0qghtHmdZ7PD8c/IPkvHQ+37WCh4dPc1hbGmPp2kK+WlXAoO4uvHxXQK3rDorqzrXdRhLuFdjo96EgCILQNjhNcJOUlOToJgitSOWhaEDFxa21YtGFIWrV1WpxNv+3/XtSCjIxWy0oFQ0vkHkh+D/9axFrpiQTdbUHY7+NqHfGsuq4anT874bnWHtsF/0iuzZ6PwBqNwXREzwr2muVOfF9IZ65Vs5ZwcNVUb78wrwcq0Vm64NplwQ2thUBCbY9lE70NZ5Nep0Xq09A1fNyd7zcFUQEqrFY5VqH1DUXtVLFnJEzefa3j2nnE9Lix2+qIT1c+GlTEcF+df9MSZLE82PvaNR8MUEQBKFtcZrgpl27do5ugtCKVK69ApT33EgKkM8HOAoVqD2cZlpZjY6kn+KbPb8C8Mzo23DTNHyY038/zSa/2MINgVpkC5j1MlajjMKlaReDnYNj6Bwc06R9VEdSSNxyuAOHF+Uz9mr38ovWI//L4/BnufR+OgCdr7JKz8klZCg+a+LwZ7kY861IKluCA8VF//wv0+HX1ZbhzFhkIeNPfaXnKf9/pVpC46OoV0B1S1JHfnwjzOEX20NjerL69g8a9Z5xtKgQNcteC6t3YFj5b222Wvhw67fccNkYwrwCm6uJgiAIQivkNMFNbm4upaWlhIeHly87fPgwb7/9NiUlJUyaNImpU6c6sIVCS6pceyU3wVA+FE22wuhF4eQllLHnlWzWTUthyq6YarNwOQOTxczctZ9hlWXGdxrEsNheDd6H1Spz4HgZxXqZoBt86bAlmoDeLijVrftvovVW0us+vyrLEr7KI2tPGUWnTVgM9UsasPWBNORaYqD+LwWWBzcFJ42sHHO6xnU73OxZr4AqbWsJYSMaN3TQ3pwxsIEL88oat+37W5aw8O9f2XJyL8tmviGKfAqCIPyLOM03/r333ktISAjz5s0DbHNwhg4dSmhoKLGxscyaNQuLxcItt9zi4JYKLcUjUlPtkDPfeC1qVwUugUo6TvVy2sAG4Ju/fyUx8zReOnceHzmzwdvLVpmNz2VgyrGg8VISE6ZGZYc5SK+u/xJfV09uuGwsvq6edW9gJ1etasfRBfl0mulNzsH6zWeRzRA10R2tlwqrScZqlm3/Pf/PM7bi76HUSPh102I1gcVUdT3btvVrZ0mabUVZljmXZSYsUF3HFs1LlmX+OP4Xy/9Zz4fXznG6i/30HDNe7op6p9We3vsqtpzax/1Db3K61yoIgiA0jdN86+/atYuvvvqq/PHChQvx9fVl//79qFQq3n77bebPny+Cm3+ZjN2lZP9ThlIrYTHY6tzo/JUE9HIhdLgrGq+K+Sn5xwwUnjYSOdbDgS2uvzN5aXyyczkAj424BT+3hk+M3/lkBkffymZQgILsx3yrZEprrIyiHJYfWI9FtnJ5h37NEtwsXVtIQpKBa0d40DNOV77cxV9Fz8dsCRB8u+lQaCSsxrp7cNrf4I1vvLbODHq+nXXc9E+HGp9P3VTMye8L6zxe0WkjJrOVGXPTyMi1sPTlUIJ8Hfd1qzcZeGX9F+SWFrBk72/M7DvBYW1pqJe+zGbj36U8PcuP0f3c6rVNkIcvy2e+KQIbQRCEfyGnmZCQnp5OdHR0+eMNGzZw7bXXolLZfrwmTpzI8ePOV41baJp9b2az6fZzxN/mzQ17YqtkR9P5qsonkstWmQ23pbLqijMceD/bkU2ut6ziPDy0bgxo140JXYY1ah+d/+OD7K3gZDcNnWJrT6dbXz4unrxy5b3c3HNcs6Xc3fh3CdsO6MnMq7mrJPMvPVZT3YGNdD6D3rLeJ1kcd5yiZGOj2xUy1A23cJVtjlct/nwuk7JzZvzOB9eOzJoGtuQPDw69GYBPd/5Idkm+Q9vTEGEBKhQSJGeYGrRd5cCmsKyE/+1agVW21rKFIAiC0BY4TXDj6elJfn5++ePdu3czYMCA8seSJGEwOKZgnuA43p20uIao6HKHLwG9XGq8K281yQT0ckHjqSB6UssNo2qKPhGdWXHrO7w47u4GTUyvnCbdu6OWQw96kxynoXO0fYIbjUrN+PjBPHn5LLvsrzqPTfdj5lVe9K+lRky7cR6MWRTO4HeCbQFHDeRqMug1lkIpMfT985nHLj4lku1f9DUedLvXD49ITXmv04G1RVXOiyNM7DqMLsGxlBj1fLD1W4e2pSGuHeHBstfCmD3Bu1HbW6xW7vr+FT7c9p1TvW5BEAShcZwmuOnXrx8ffPABVquV5cuXU1RUxKhRo8qfP3bsGBERor7Bv82Al4OYeTYO/x61T5pWahUMfT+E6Sc74tmuIgA6sbyA4tSG3RFuSZ46N4I8fOu9flGykR8GnSL7H1tPgd5g5USWrfejc7Tz1PvpGKlh5lVeeHtUTXudf8JQpeel41RvLnvEnxmn47h8cQgoKwUQ54MPqdK3nEINKvemfe3FTvZi3PII3MKqBlTu4WrGLY/gyp/alQdAPeN0eOZYcJ+bww+DTpH8u+OCHIWk4MlRswD4+dAmDqadcEg7GsrHQ4mvZ8PTn1+gVCi4pc9VBLj7ML7TYDu2TBAEQWiNnCa4eemll/j5559xcXHhxhtvZM6cOfj4+JQ//+233zJ8+HAHtlBwlIbUMHHxr7ggzT1SxrppKSztfJyCU40fqmRvL6/7H6sOb2nURfCOORlk7NKz8fZUZFmmWG9lYHcXOkSoCfBp+vyD1/9YwG8J2zFZ6jmz3o5yDpaxYmgSP48+TWlG1eMrlBKx13sS/Ekyk/9sx+hF4eXpmi9k0Ovz3wCsJlg39WyTA4zYyV7MOB3HpI1RjFkSzqSNUdyS1PGSgqFdY7T45VuxqCBjl55V487w4+BTnF1X7JAgp3toByZ0tg1xfGPDAqcbpmWxNu5vNj5+MCtnv0tcoCgpIAiC0NY5TXBz2WWXkZCQwLJly9ixYwcvvfRSledvuukmnnjiCbseMyoqCkmSLvl37733Vrv+pk2bql3/6NGjdm2XACXpJnITmjaPQVLYapyEDHXDM9qx2awu2HTib74/sJ7n13zCmby0Bm8//P9Cib3ek3HLI5AkiQBvFS/dGcCnTzW9iOOxrDMs3beGZ3/7mDx93ZPqG6PMaOWrVfkkJBmqXPxn7C5lxfAkStPNqFxq/tpSBZjx76nDN77qEDzfeC0+cVrcw1V0uMm7yjA/Q37jhqkplBJhI9zpeLM3YSPcqw2yNWoJnyvdWTPNHbcpHih1Euk79awce5oVQ5M4u77lg5wHh92Mq1rHwbQT7E4+3KLHbqwyo5VXF2Rzw9OplJY1LiBz1VQkpkjOS2frqX32ap4gCILQijhVKpmAgACuueaaap+76qqr7H68v/76C4ul4sLn0KFDjBkzhuuvv77W7RITE/H0rJjXERAQYPe2/dsd/jSPv+Zm0u0+X4Z9GNqoffh00nLdjhhMRdbyi12L0crRBfnEz/ZBoWrZFNLFhlJeWf8lADP6Xk2Ub/1eV8k5E26htuBM56Nk3LLmmeTv5+rN3YOmkK8vJtC9/kPlGmJfooFvfivk9z9LWPqS7fWnbirm1wnJmIqtBA1w4erVUeh8ah+mVLnI64UMeh2nehM7xbPKHJz0naX8fHkSXe/1Y9CbQc1SdLNXnI69iQZODnThyQ9C2ftGNoc/ySVteynrpp7lltNxqF1b7r0W4O7DU5ffSoC7DwPadWux4zaFVi1x9LSRvEIruw/rGdG7flnTqpOSn8GMJf+lxKjn0+ufoVd4Jzu2VBAEQXA0pwpuWtrFQcnrr79ObGxsncPfAgMD8fb2bsaWCWXZZhQqCOrXtAKFCqWE1rviQnnPa9n8NTeTUz8VMmF1VBNb2TAfbP2WzOJcIryDuGvglHptc/TrPDbdeY4rlkUQPbFqogRZlsnMsxDoo7TLRbufmxd3DapfuxrLy13BiF6uhPirkCSJ078WsWZKMpYymbBRblz5cyQa97rnX1Qu8lo5/bNSU7XX58TyAsx6GUOuuVkCG4AB3VzIL7bSv6sLbiFqhr4XQq85/ux9Ixuv9hrUrrY2yVaZjD/1BA90bZZ2VDaxq3MN4ZUkiXuu88HdVdHkuWPBnv5cFtaRtMJs2vkE26mFgiAIQmshgpt6MhqNLFq0iEceeaTOi6CePXtSVlZG586defbZZxk5cmSt6xsMhiqZ3goLbUN+TCYTJlPrnezuSAPnBXDZUz6o3RV2/Ru5RSrQeCvoMM2j2v1eWGbv87L/3DG+278WgKdH3YoSqV7HSNlUjMUgc2pVAeHjqwZ6mXkWbpmbSYC3ggX/DbRLjZvm1iFcwVMzbfNWTv6cx+9TUpHN0O5qdy5fEoKktWIyVT8s6eJzowuR0IWoqiy7WL/X/Agb7YJntLp8ndJ0MzseyaTHo74E9NZVu11DRARK3H6Ne5V2aAJgwNv+VZYlrShi3Y3nCBnuQu/n/Akd1vxBDkB2ST5mq4VgD79mPU5TPzu9O9nOpcVixtL4hHcAvHTF3ZgtFtw1LuI7lub7XhOaTpyb1k2cl9ZJkh2dn9RJLFu2jKlTp5KcnExoaPXDhRITE9myZQu9e/fGYDDwzTff8Mknn7Bp0yaGDau5TsncuXN54YUXLlm+ZMkSXF1b5gJHqGAtUiC5W7kQwxqPa5FNEtrOzVOrxGy18HHyGrJNhfTyjGFSUP96bytboHSTB66jirg45j6e7s3qA9EEeJQydVBio9tnlWXW5xygq3skobrmGY5WHUuekqynQ1F3MOD7QCZSC92KKVjoS9GPPmjiygh8I7VlDgoU/eRFwSI/MNtOpLabHs+bctF2qXjfyRYwHNFhzVOh8DGj7VyG1PhEYhwpPsuKjF20cwlkeqhz9ebY02l9Jv5qT9xVTQ9mBUH49ygtLWXq1KkUFBRUmY4gOJYIburpiiuuQKPRsGrVqgZtN2HCBCRJYuXKlTWuU13PTUREBGlpafj5Ne/dVGdjMcpYyqxompAatkHHM1j5oe8Z8o8aGbkghKjrXVi3bh1jxoxBrbZPEoKtp/bx8Kp5+Ll6seyW1/HSude4rtUkc+qHImJv9KizB/Gznwr5YWMJVw925f4bvGpdtza7zhzkvp/exE2jY81/PsRF3TwXgKfTTPh5KfFwrRg6ps80o/NXIinq7nUymUx2OTd5RwzsfyuXmCketLvKdi6sJpmza0uIHO9Wr7ZczGiWOXTSSEauhfG1DDsrPmti/5u5HP0yH+v5G4KhI13p818/9JkWdjySSUlqRaY4tzAVg+YFEn2tR4PbBHA69xw3Ln4ai9XC+9c8xuCoHo3aT33Y4/zkFFj4fVcppQaZ/0y0z4XEllN7eWL1h8T6hfPpdU/jpmnaUFdnZK/PjmB/4ty0bjk5OYSEhIjgppVxumFpX3zxBbfddtsly81mM8899xyvvfaa3Y955swZ1q9fz48//tjgbQcMGMCiRYtqXUer1aLVXlpgUa1Wiy+zi5z9pZB1087S5U5fhrzb9AxgdZHLLIQOccOYbyVmghdKte1egD3Pzai4fnzl9jylxjL8PXxqXE+2yvw66QxnVhejT7PSa07tiSoSk20XwV1jdU1qa4h3AFfGD8HfzQtP18ZdRNfHvKU5HD9j5I6OLtzwkO21qcMa3u6mnpvAHmrGLqoaYCYszmPDramEjXJj0h/RDd7nuWwTT32ci0YtMW6gJxp19QGST4yakZ+40ufpQPa8lk3CF3mc21jKpjMmCpNM5emtLyg5Z2bdTecYtzzikjTU9dEhqB1Te47jmz2/Mm/LYgbHXIZa2bw/C005P0V6ma9XF6NRS8y6ygcXXdMTfsYGROCucSHcKxAXrQ616t/7nSt+c1ovcW5aJ3FOWienSQV9waOPPsp1111Hbm5u+bKjR4/Sr18/li1b1izH/OqrrwgMDGxURrZ9+/YREtL8F+H/Fil/FGPWyyhquDi0N42HkpGfh3Hz4fbofCsu+o4tLECfZb9aL73C4xkS07PWdSSFRPjl7qhcJPy61d57YjLLHDtf7DI++tLAuSHa+0fw2lX38cjw6U3aT20MBiv5yUaswNnnMslLNNS5TUsyl1jReCqIHFs16LEY6peWODJYhZ+XEqNJ5tCpul+bR6SGEf8XyrTjHYj/jzfGQuslgQ1QvmzbQ+lYLY3rhL9z0HX4unpxJi+NJXvXNGofLaV9uJpxA9148EafKsVZmyLKN5RF017mzQkPoVU5T6FbQRAEoXpOF9zs27ePjIwMunXrxrp165g/fz69evWia9eu7N+/3+7Hs1qtfPXVV8ycOROVquodzaeeeooZM2aUP37vvff46aefOH78OIcPH+app57ihx9+4L777rN7u/6thn4YwvV/xdL13pab+wFUCWwMh3Vs+k86S7scpyyn8QHOphN/czY/vUHbXPaIP1OPdqDd+Np7UE6lGjGaZDxcFYQH2udOfHNlE7NaZLbdfY4hHxdy5cIixrwWjE9c0wIye+t2rx8zkuPodl/FMNGM3aV8HZnI3rey6txekiR6nn9N+47Wf+6WZzsNcdO8KcuuZQa9bBvOlra1pN77rcxD68oDQ28C4LOdP5BTkt+o/bQESZKYc4sf4we5o9PY7+cr3DsIpaJif3tTEhxSZFUQBEFoOqcLbqKjo9myZQtTpkxh3LhxPPzww3z55ZcsXLgQDw/7D5lZv349ycnJzJ49+5Ln0tLSSE5OLn9sNBp57LHH6N69O0OHDmXbtm38+uuvTJ482e7t+reSJInAPi54tnPcHVbJxYpvVw1REz3R+TUucEgvzOapXz9iyoI5HM08XeN6OYfL2HBbChZTxYXWhbTGtUk4fb7XJkrT6KDEaDbx9V+ryC1tnoKdYKsrtPbmsxz9Kh9JAVfPD6X7fa1znpnWS4nareIr88j/8tBnWsg7Ur9epl5xtt62vYkNS0xRkla/ALq+61Xnmq7D6RIUQ7FRz/tblvJX8mF+S9jOX8mHsVgbVzTTWX268wdu/fYFPtvV8GHIgiAIguM53ZwbgF9++YWlS5cyaNAgEhMT+fzzzxk2bFiNWcyaYuzYsTXewVuwYEGVx3PmzGHOnDl2b4NgI8tys/UeNIQmxsiEXVEo5IqkBoYCCye/LyB+tk+dE85lWeaV9V9SairjsrA4OgZUX3TTYrDyy7jTFKeYcQlSMfDV+tfkiIvUcP3lHkSFNn488Npju5i3eTHfH1jPqtves/vf3lRqZc2UZM78VoxCLXHF0nBir2t84oOWNmx+KKHD3AjsWzEBvTTTzN8vZtLjEX+8YqoGoT3PBzeJZ4wU6624u9Tv3pJbSP2+plVNKASqkBQ8cfksZi2dy7pjf/Lz4c3lzwW5+zJn1CxGd+zX6P3bW5nRyp+HyvDzUtI11r69fBcSevzbgjpBEIS2wul6bu68805uuOEG5syZw5YtW/jnn3/QarV069at2ebcCI6Xf8LAovbH+OulzFYxXESpkaoUk9z5RDobbz/Hhtl1pw7+PXEnW07tRa1U8d8xt6OoYfKAUqtg+KdhhAx1peej/g1qX3y0lruv82H8wJozr9XFW+dOl+BYJnYZ3ixB5fEl+ST/VkxOrIoN93uyVev489oQSrVE3HTvKkPoDryXzcH5uay/JeWS9YN8VYQFqLDKcOB4/XtvQoa64RaugjpOwYbbUjm7rrje+71YVnE+VtlKqalq2zKLc3ls5TzWH9vd6H3b2+LfCnnhf9ks32D/XsWbel7Bomkvc8/g6+2+b0EQBKH5OV1ws337dv78808ee+wxJEkiODiY1atX8+KLL1Y7dExoG44tLqDwlIn07aWtovfmYn7ddKg9FHSa5V3revn6Il7/YwEA/+l/LbH+4ZesYy6ruGMcdaUH126ObvTwt6YYEtOTJdNfYXb/a5pl//G3+dDrCX909/uSq5fJKWhiZcZWoN14DyKvcKfnnIpg1GKSSf+zFKgYmnb4ZP0TJiiUEkPfP5+U5OK3/vnH7hEqzMUyHu0a11NnsVp5c8OCap+7EHK+ufHrVtObMbSnKyF+SqJCmidTUbeQ9uX/b7FaScppuXpHgiAIQtM43bC0PXv2VJs2+d5772X06NEOaJHQEno+7o93Bw2u9Ryi09K63etHh6ne6HwqenPO/lGM1luJX08te1MSyC7JZ+XhLeTpC4nxC+e2aoKGvW9lcXRBPpO3VAQ0DQ3mUjNNZORZ6NROg6sdUuWqFParKVSSbkLrpUTlokCSJAa+Hkwvo5Xhxwz4e7VM7aLmFDrUjdA1blWWnfg2n/UzUom93pPrPgxh4jB3oqsZLliUbKQs24LOX3nJvKrYyV6MWw5bH0yjJKVibo17uJoh7wUTdbUHmX/p8e5Y8d2YsrGY0GFuKJR1v3/2piSQUZxb4/MykFGUw96UBPpGdqlzf82tQ4SaRS+GNvuNDqPZxDO/zWdH0gG+uOl5OgVGNevxBEEQhKZrnVeKtagusLkgLi6uBVsitCS1q4KOU70d3YxaVQ5sDPkW1t+SQmmmiZ13/crBqP1V1r2q85BL6okY8i0c/CCH4hQzx78roNs9jZtYv253CQtXFzK2vxtPzmz4Pgr0xfx19jAj2vexa2BTmGTk59FJ+HTSMn5FJMrz2a60GgUDurbdwolFZ0wo1BIBPV2IDKoIamSrXD4/qyjZyOK441jKZJQ6iWmJHaoNcKKv8SRtawklaWbcQlSEDK0IXkIGVwRV6TtL+fny0wT2cWHk56H496j975tdzwxp9V2vubVU762MTG5JAWVmIyn5mSK4EQRBcAJOF9wIgjOQLTLKXmXk7y7gSNihS57/auVqgs+FMbx3j/KLWK23kqvXRJHyR0mjAxuAI0kX6ts0LqPcT4c2MW/zIoZEX8b8655sdDsqy00oY+Xo05Scs/U66LMsuIc53ajYRunzbCCdZvmg8ax4vZl79Ky9+Sy9nw4gfpYPZdkWLGW2AWCWMpmybAse1eSZUCglwkbUPY+q5JwJjaeCzL/0fN/nJJc97k/f5wJR1ZDEwN/Nu16vpb7rtRRZlkk6ZyI0QGXX1NAXaFUa3rv2cY5nnaFXeLzd9y8IgiDY37/j6kJwWhaDld8mJ5O4OB+r2XkmnKt9FCy6+jN+uv9LLOqKYUTxO3vhnebPDW/ew5nJLizueJzktUXlz/t10dHjgcYHNlarTMJp23yOzo0s3qlWqvBx8WRUh76Na4NFJnVTMceW5pO6qZiMv0pZMSyJknNmfDprmbw1BvcwWw/G//2Qx4pNRRSVto65HM3FPVyNxtPWC5Z4xsDiB1IpOG4kaWUhWXv15CZUnYOTm2Aga6+eovOFWBsq9jovph7pQMxkT6xm2PtaNt92P0HKxuoTDvQKjyfI3bfWnAVBHn6t7gL/qY+z+M8r6ew6qG+2Y3hoXau87hKjnmJDabMdTxAEQWga0XMjtGqnfyni1IpCMv8qpcNNzpMmuHwOQ6XRQNH/dGLoj1dS4lGEymz76FkMMmuuP8uUXTH4xuuafNyzGWZK9DJatURMI9NAT+01jindL2/Utid/LLhkXggSIENgHxeu/q0dLv62115QbOGHDUVYZRjc3QUP13/HvZaCYiurO6vpqZBR/FpM0orzwa0CsNr+u366LdtaTUPU6sMtVM34HyI5taKQzfeeo+CEkZ9HneayR/0Y/HZIlXWVCgVzRs3isZXzLpyuS0zsMqxKocvWICZMw77EMtJzWyYZRW5pIff98DquGhfmX/cEWpXj6m0JgiAI1Wtdv1SCcJHAvi70fT6Ayx71r9fE6NaiurkJMlDknU9mZNXMS7JZJmN34+/SV3bkfK9Nx3YalE34e2lUajSqhgVHJ38sYM2Us1UDGyi/Uu7+oG95YAOgUEjcPsmb8QPdCPT999xn6dZei6STOBGswmqsFEZYL/ovFUPUmiLmWk+mJnSgy12+APh0rj6IHt2xH29PfIRAd98qy13Uth7Ab/f9zuncc01qi73dONqDH98I56Yxni1yvMziXE7npXEiO5lzBVktckxBEAShYZzqiqKkpIQlS5awY8cO0tPTkSSJoKAgBg8ezM0334ybm1vdOxGcikekhn5zgxzdjAa7eG6CW54no5ZOQmVW4ZHvjVWyopAVoABzqcyGWalNukt/wdHz8206RzV8H5nFuRToi+lQQ1HR2lgtMlsfTKv+lj+ABLuezqTDzd7lQaqHq4IbW+iitDVx0SqIj9ZyIl8PGuBCTHuhy6RS14lSK5G0qgiPaE2VhBUNpfVSMuL/Qulyhw/+l1UEN+k7S3ELV+ERYXu/jO7Yj5Ht+5Rn9/N386ZbSAfuXP4KKkmBp67xdZOag5d7y2bY6xQYxQfXPo6/mzdRvvYvGi0IgiA0ndP03Bw5coSOHTsyZ84c8vLyiIyMJDw8nLy8PB5//HHi4uI4cuSIo5spCIBtDkPlO+C6EtfyoWiALbABu9+lv9BzE9+I+TaL9/zGlK/n8O7mxQ3eNm1ryaU9NpXJUHzWRNrWkgbvuy3qFadD76Eg78UAbtgTy+hF4RWBoQyjF4Vzw55YBr4VxF9zM1ne/6RditcG9HQpzzRmLLSw5vpklnY+wcH5OchW2/6VCgV9I7swPn4wfSO7oFNr+GDS43xy/TP4urbeYNTUQnPy+kR0rhLYFIn5N4IgCK2K0wQ39957L8OGDSMjI4OffvqJTz/9lM8++4yffvqJjIwMhg0bxr333uvoZgp2tPetLDL+KrXLRV1LUyoU9ImomIRc5laKWVVx8W+VbFGNVOkTqNRJ6Pybdid6zi1+PHijD93aNzy4KTbqUUoKeoY1PKV6SVotgU016yVnmNibWIbZ4nzn1h56xdnOz54cE36X6fCNr3q+fOO1BPRywTNKg193HXHTvaukP05aVVil2GtjGPIteESqMRVb2XJfGj8OOUXO4bJq1/Vyca+SujwhI6lJx7anYr2VZz/J4vqnUikztmxiiuNZyVz71aMs27+2RY8rCIIg1MxphqX9+eef/P3332g0lw630Wg0PP300/Tr188BLROaQ/4xAzvnZCApYda5TrgGOs1bFYCMolw2nvgbAE+dO4U+hXw352N0Ja5EFUbR+ytbwVnZartL7xuvrbZ4Y0N1iNDQIaJx+3huzH+4Y8DkRqX7datncdUL6/2ytZjlG4q4arAbj05rfHY4Z9UpSotOK1FQbCXpnIlAfyVKnVRe5+ZCkBs9wZOoqz2wmiqCwMy/9ayemIxbmIpbTnZEqW3cPSqPSA2Tt8Vw6P9y2flkBuk79SzreZLeT/vT+6mA8v1aLXJ5bR3XYBVLzD+w+MBvvHH1A4zrNKjpf4wmctNJJKUaKSyxsi/RwMBuLVczacupvWQV5/H9gfVc223UJbWrBEEQhJbnNN/EPj4+HD9+nM6dO1f7/IkTJ/Dx8WnhVgnNRZahw1QvrEbZ6QIbgA+2LkVvMnBZaEe+uPF59qUeLZ/DEJEZxQ9fVdz5vnCXvjUI8vCte6VqhAx1wy1cVfPQNMmWDjlkqG1enE4r4e2uoG/n1vG6W5paJXFZBy3Z+RaKS63EdtQxLbEDZdmWS4JcSZJQaip6bUrTTbiHqwgd7lYlsMk5WIZvF215YdD6kBQS3e71I2qiB1vuTeP0qiL+eiGLE8sKuW5nDCl/FF+S/c41oBtR40/xvOoT2vmEEB8U3cS/RtNIksRDN/vi760kKqRxGQIba3a/a9CqNEzsMkwENoIgCK2E03wb33777cycOZNnn32WMWPGEBQUhCRJpKens27dOl599VUeeughRzdTsBOfOC1jF0c45ZA0o9lESkEmAHNGzUSlVNI3skv580UYq71L31Q/bS5CrZIY2M0FX8/67zOjKBcXtaZJk8UVSokBrwbxx4zUS588f6095L3g8mQCsyd4M+sqL5zw9NrNS3cGVMlo5xGpqbZw58WirvYkcpwHxoKK+VmlmWaW9TmJR6SaKbti0Pk17KvdI0LDlT9HcnJ5IVvuT8O/h46UP4pZM+XsJUkipGwNYxZOYR3LedjlHZbc8qrD5+I4KkiWJInpva+sssxkMYtARxAEwYGc5ht47ty5uLi4MG/ePObMmVM+/lyWZYKDg3nyySeZM2eOg1sp2FvleQbOQqNSs+CmufyTdpwuwbGXPO8RqanxLn1jybLMot8KyC208sGjQQ0Kbj7YupT1x/7kyctv5dpuIxvdhgt39yUVyJU6cNzD1Qx5L5jYyVXrFCka0MPQFjUlVbdCJVUJYHL+KUPlIqH1UVZZrs82V0m/XRtJkmh/vRfho92xmqws632y+ux3sm3doavGs6jL+zy28l0+vf4ZcUEPbDq5hzf++IpPr3+WSJ9gRzdHEAThX8mpfo2eeOIJnnjiCZKSkkhPTwcgODiY6GjHDosQ7CtlQzF+3XS4BDjV27MKSZLoEdqxxufre5e+vjJyLeQWWlEqoENE/YfmWKxWTueeo8xsJNY/vNHHN+utHHgvG4BR/wvFo52GkjQzbiEqQoa6ValRVFhiwdOtZVP4tmZlRitmM7g3oYhpxGh3ZqV2oiTVVL7Mapb57rITuEeoGbs0As96pgfX+ShJ3aSvM/udS547UWfbs0eRwFsbF/L06NmNbr89pOeY+XmzrSjs3de1/BBlq2zlsx0/cK4wm2/+/pVnxtzW4m0QBEEQnCy4uSA6OloENG2UuczKb5OTMZdYuWFve/y6VV9wsDUqMepZ+Ncv3NLnKty1ri167KPnU0DHhmvQaup/kaxUKFg07WWOZJyic1BMo4+f8GUe+kwLHu3UdJjqg1Jdfa9EcamVKU+mEhOm4d2HAnHROU3Cxmbx9a8FLPm9gGnjvJhxpVfdG9RC7abAu2NF1rWsvXr0mRasRrlKwgeLSa7x/FxQ3+x3t8ZO5nnzm3y3fy3Xdhvp0Pk3+UUWvltfhE4jcesEL3QN+BzYg0JS8MHkOSze8xv3DL6+RY8tCIIgVHCqKwu9Xs+2bduqrWdTVlbGwoULHdAqwZ5KUk14d9DiGqrGt0vD0xk70v92/cQnO3/g/hVvtvixj5wv3hkf3fAhbpIk0SU4ttFDAK0WmX1v23ptej7uX+uF85EkA2YLGEzyvz6wAfD1VGAyw96j1adgboqgfq7MSO7I2O8iqiQeWDX2NL9OPEP+MUON29Y3+12fyzrwyIjpzLvmEYcnFohrp2HiUHeemOGH0kFDHv3dvHlw2M1VhuhZ5ZZNTy0IgvBv5zRXF8eOHSM+Pp5hw4bRrVs3RowYQVpaWvnzBQUF3HrrrQ5soWAPXrFarv8rlhv3xTYo65OjJeel882eXwGY1XdCix//SJLtQrVzVP0DwpySAizWpl94KZQSV/7cjs63+xA/u/bhQP26uLD8tTCenNG4rGxtTa84W8/kkSQDeoP9L4LdgtWEj6xIFFFwykjqphLOrC5C5Vbz1/+F7HfU8RHUZ5mZ0ecqLu/g+DT8F7KmDe/lilrVOr47FuxexeMr37PL50wQBEGoH6cJbp544gm6detGZmYmiYmJeHp6MnjwYJKTkx3dNKEZ6Hyda8TkvM2LMFnMDIrqwbCYXi16bJNZ5vjZhvfcPPPbfK7+34P8lXy4yW3w765j5GdhqFzq/krx9VIS1865euWaS2iAikBfJWYLHDpZc0+KvXjFaJh6tAMjPw/DPaxibtaWB86x4T+p5b05CqXE0PdDbE9eHCecf6zzV9LuyqpZ0tIKs/nvmk/Qm5r/tbR2Z/PT+Wj7d6w/vru85pUgCILQ/JzmCnLHjh2sX78ef39//P39WblyJffeey9Dhw5l48aNuLm5ObqJQhMVp5hwDVahaCV3Xetr5+l/2Hjib5SSgsdHzmjxDG/J6SZMZvB0UxBWzyQMhWUlHEk/RWFZCSGeAY0+ttUiV0kWIDSMJEn0itOxZmcJe4+WtUhKY584LT5xFcGlId9Cwv/yMOtlOs3yLp+3EzvZi3HLuaTOzYXsd+Gj3FGf7/2RrTLbH0vj/wI/55AqAZPFxKtX3ueQbIeFJRa2H9ATHqiiW3vHzdmL8A7m9aseILUgk9EdHd+zJQiC8G/hNMGNXq9Hpara3Pnz56NQKBg+fDhLlixxUMsEe/ltcjLFZ01csSyC0KHOEayaLGbe3Gib63VTzyuI8Qtr8TbEhmv46a0w0rLN9b6Y9NS58fud89mbcpRw78BGHVeWZX4anoR3nIb+LwXhFlp7lrYlvxeQnG7mmmHuxEeLnpsLyoObRPvPu6kPjZeCieuiSFpZRMjgikQYhz7Jpei0kWu3RFN8xnRJ9ruiZCOFp4zo/JUk/17MgXdzGay9Dt2ILawxb6djQDtu7TexxV/P4jWFfP9HESN7uzo0uAFEUCMIguAAThPcdOrUib///pv4+Pgqyz/88ENkWWbixJb/ERXsR59tpvCUEWOBBe8457nwXX5gPadyUvBx8eCuQdc5rB2ebsoGp1d2UWsZHN2j0cdM2VBC2vZSMvfoGfBa3TU91u0u5Uyaif5ddCK4qaTn+Xk3J1JMDkmTLUkSIYPdCBlccUPBapHZ+0YWRadNeMdpib+16lyqomQji+OOlxeinfB7OyLGunN2bTG9fh9GzN4ufH/6N9r7RzA0pmeLvp4RvV3Zm1hGp3qmvm4pJouZF9d+zuDoHozrNMjRzREEQWiznCa4ufbaa1m6dCm33HLLJc999NFHWK1WPvnkEwe0TLAHF38Vs87FkbWnDNdAp3lbMqpDPw6mn6BnWCc8de51b9AK6E0GXNRNDy72vJoFQOfbfeo8Z7Is89CNPuw4qHdYNfnWys9LycSh7oQFqlpV0doh74Zw9Os8OtxUkaL67Ppicv4pw7+XDkuZrcKnpUxG465kwpp2nFhWyLaH0iDdj6s+nc7Pe44Q+E0AcZ0aX0OpoeKjtHz+dEiLHa++VhzcyMrDm1mbuIu+EV3wc2ta6m9BEAShek5zFfnUU0/x1FNP1fj8xx9/zMcff9yCLRLsTalREDywZevDNFWQhy+vXnmfw46fX2ThxS+y6RKtZfZErzovjmVZZubS5/Fx8eDp0bNp59O4i8CM3aWkbihBoYKej/nXub4kSfToqKNHR+epW9SSHrrZF4tV5uAJAzkFFvy8lHRrr3VYSmOFUiJmkicxk6omDNg9N4P07XqiJlQN5HMTbAkEgge6MPVoB3Y8ncbh/8sj+u/OfHftER7e74tOUf/ism3Rdd0v52DaCcZ07C8CG0EQhGbkNMGN0HZZzbLTJREwmI2o1Y6/WEs4bWT/MQN5hRZuu8a7zvWTcs9xLPMMGpUKb51Ho4+75zVbr03Had54RLau4T/OaMu+UuZ/n0dWvqV8WYC3knuv92FYz9YR8BeeMZD5px6A06uKkRQgWwEFrJ+eAoBSJzEtsQMj54cTdqOGZTMOceaG/ZQae6PTteznxWqVOXzKQMfIhhW2bS5KhYKXxt/t6GYIgiC0eY7/xhf+9TbddY4fBp8idXOJo5tSL7Is8+DPb/Poz/PIKMpxaFsu1Lep7xyWGL8wfr39fV4Zfy9eLo0bRpdzuIykn4pAgp5P1N1rU1pmZenaQpLOGZFluVHHbMu27Ctl7ufZVQIbgKx8C3M/z2bLvlIHtawqQ44Va0XSNMprU1Yq4WIpkynLtr2OjsMCmbYnjg+feYAgDz8ACr/zYdcTmRiLq77W5vDAOxk8OC+T3Ucck6ihLgX6Yp745QOyivMc3RRBEIQ2RQQ3gkNZTDKnfiwkfUcprWi6Qa0SSlL4OyWBrUn7HF6cL+FCcNOAydNhXoGMiRvQ6GMemJcNQMy1nvjG1z3M7O+EMj7/KZ/nP8tuVXNKWgOLVWb+97Vf3M5fnofF6vigUOevRKmrOH/ShV+PSqdUqZPQ+SvRZ5nZ8J9UtEe8cdXY3iMlqSYKv/fmn3fzWNr5BKd+LmzW9naJ0eKmk8gtbP5AqjGe//0T1hzdwZO/fiiCfkEQBDsSw9IEh1KqJW4+1J5TKwoJGdI6ht/UpsxsZE3WPgBm9Z1IqFfja8Q0lcUqc/SMrXhn53r03FhlKwqp6fczBr0ZjHuEmqgJnnWvDLi7KujfRUdsuBi+drGDJwyX9NhcLCvPwsETBi5z8Hwlj0gN0xI7UJZtITfBUD4UDRlGLwrHN16Lzl+JR6SGA+9nk/BFHjkHyrj+r1hkWWZp6q+sn3GIq9ZdT/FZE79NSib6Gg+GfhDSLEMbp4/34raJ3mjUrTOgfmzEDDKLcnly1K0i6BcEQbAjEdwIDucWqqbbvX6Obka9LN77G/nmEoLcfZnVd4JD25KcbqK0TEanlYgKqX0+g9lq4foFc+gT0Zn7htzY6CFpADo/Ff3mBtV7/V5xOnrFiUQC1ckpqF+vQn3Xa24ekRo8Ii9d7huvJaBXRRa8kCFuxM/2Jvh8emmrLPPP2RPE7u7K7qGbuSHwKo5/VEzSz0WcXVdMvxeC6P6gH8rzgYjVIpO2teSS2joNaqtr6x6YEO4dyOLpr4jARhAEwc5a97e/ILQiGUW5fPXXSgDuH3JT+XAbR0lIsvXadIrUoKzjwm/n6X84lZvKumN/NjoNtNUshs7Ym59X/Wra1He9llJ5iNqFoWiVBfZ2YdQX4XSebauPo1QouFczi+hD8cT91Jclvb9m8p5oQoa4Yi6V2f3fDErOmQA4+WMBC6MS+WnkadZNTeGnkadZGJXIyR8LGt1evcGxw0drUjmwScpJ5cOt34ohaoIgCE0kem4Ehzn8eS7pO0rpeo8vQX1b/5C097YsocxsJFLnzxUdGz9nxV70Biuebop6JRMYEn0Zn93wLDkl+WhUjcta9ed/M0jbWsrA14OqFHyszdkMEwE+SnStIFtVa9StvZYAb2WtQ9MCfGxpoVuTykPULgxFq0tEH2+UNx8koeQEe9IT+F/Qtzy9eTbLB55C66NE5aLg5I8FrJlyFi66vi9JNbNmylnGLYfYyfVPo1xQbOGFz7M5kWJk+evhrXaIWolRz23fvUhOaQHeLh7c0ucqRzdJEATBaYngRnCYw5/kkrW3jMA+Lq0+uCkylLIv5SgSElcG9G4VQ0muG+XJ5JEeGE113+mVJIn+kV0bfSxDgYVD83MxFlrRZ9d/iNSLX2RzNsPMq3cH0KuTGJp2MaVC4t7rfZj7eXaN69w7xcdh9W5qU9MQtZq4hqgIuVHP1E59+HvVVpYdWEdMWQy5uwOQFGAxWNn6YNolgQ1gWybBtofSib7Gs95D1DxcFaRmmSnWyxw6ZWi1wyPdNC7cO+QGfvxnA1d3Huro5giCIDg1EdwIDjPk/RASv8mn/Y0tX9CuoWP6PbSurJj9DttO7qU0MbMFW1o7SZLQapr/wvfQx7bAxqezlugJ9auPU1pmpbjUitksExvu+JpArdWwnq7Mvd3/kjo3LlqJR6b6tpo6N/YyNKYn9w+9kQ+2fsu7R77igy9fQjqto/CkkZIUc80bylB81kTa1hLCRtRvzphCIfHkTD9C/FUE+7Xun7vrul/OxC7DUStbdzsFQRBaO/EtWou5c+fywgsvVFkWFBREenp6jdts3ryZRx55hMOHDxMaGsqcOXO46667mrupTil0iBuhQ+o3vMmeTv5YwNYH06pcSLmFqxj6fkitQ15c1FpGxPZhdeLqlmhmrSxWuc67+WmF2aQVZvHq+q+Y1G0EN142tlEXTqZSKwfetfUs9H4qAKmevQiuOgVLXgrlXLYZL/fWNWektRnW05XBPVw4eMJAToEFPy/bULTW2GNjD7P7XUNSzjl6hXdiQPd2ABxbml+vbUvSagmAqtGzlfbWVKfy53PH6QMADIrq4ajmCIIgOCUR3NShS5curF+/vvyxUlnzRVpSUhJXXnklt99+O4sWLWL79u3cc889BAQEcN1117VEc4U6NHRMf7GhlA3H/+LqLkPtkkbZXr5bW8jKbcVMGeXBlFGXpmROK8xm4hcPY7TYJmkv2buGqb3GNepYCV/moc+y4BGlpsNNDetlkySJsADRa1MfSoVUbbpnq1Vmye+F9OviQsdmSJnsCJIk8fKV91RZ5hZSv5+jwpPG5mhSq7I3JYH7f3wTtVLFN1NfpkNAhKObJAiC4DREcFMHlUpFcHBwvdb95JNPiIyM5L333gMgPj6ev//+m7ffflsEN5Wk/1lK6oYSOk7zapb6FjWxWuQGj+n/fNcKFvy1iq1J+3hrwkMt1ta6HDltJDPXQk2JlfL1ReWBDcDk7qMaFZxZTDL73rL12vR83B+Fqn49CbIst4p5SW3B0rWFfLmqgNU7ivnkyWA83dpeL1heaSFrNBtxC4+jJNVc/Wf0PJfgip8tq1lGlilPIV2T5HQTP2woQq2WuO96H3s1u9l0DW5Pn4jO+Lh4EOUb4ujmCIIgOBUR3NTh+PHjhIaGotVq6d+/P6+++ioxMTHVrrtz507Gjh1bZdkVV1zBF198gclkQq2u/g62wWDAYDCUPy4stFXuNplMmEymardxZgc/zubYwkLyT5Ux7OP6BY72cG5zab3G9J/dWEjocFeS89JZtMc2BO3KuMFVzocjz4ssyxw5ZXu/dIhQVmlLemE2+WXFJOWmVtkm0NWbg6nH8da5E+zpX+9jnVxWSHGyCZcgJe2nu9f7de88WMaXq4oYO8CF60c1vqZOQ7SGc9McrhyoY/X2YtJyLLz6VTYv3O6DwgmHq9V0fkwWMzOW/Jfk/HTuuWc2PBMKElUDnPOPO870JOpaV0wmE6d+KCLzLz3Hvimk2wM+9Hyi5lpZuYVG1v9WiJcVru+uwTemdfeAScDbVz1oy2xolTFZm/c93VY/O22BODetmzgvrZMki6T6Nfrtt98oLS2lY8eOZGRk8PLLL3P06FEOHz6Mn9+lP6QdO3Zk1qxZPP300+XLduzYweDBgzl37hwhIdXfgatubg/AkiVLcHVtW5OJAUo3u1OyzhPPablo48ta7rhb3MmdV3fxSd9HMnAdVszic1tILEmlvWsIt4QObzU9EYV6DV9t6YJCsnL35f+gUto+wvmmEj448wtm2VbT48L1YeXrRJWk4IF2V+Otrt9cJ9kC+u3uyBZwG1lc7zb+cTiCQyn+9IjMYkR8Sv1fnFCtrEIXvvuzIxarggHtz9E/NsPRTbKr3fnH+SXrbyRgRupkXL/piCWn4t6b0t+E9205uAwsAcCql0i/OxJrvm0d15GF+D6YVb6+pVCB0rOito0pU0XaPZEozBKorQR/fBZVQMPm7jja/sIk4tzCcFG27sBMEP5NSktLmTp1KgUFBXh6XjpEXHAM0XNTi/Hjx5f/f7du3Rg4cCCxsbF8/fXXPPLII9Vuc/EF8IXYsbYL46eeeqrK/goLC4mIiGDkyJHVBlFO70rgjZY/7Dm3Un6Zd7bO9QaN78OZqBMkHk9FqVDy+nUPEeUbCtju0qxbt44xY8bU2BPX3Dbt1cOWfNpHaJk4oeI9ejTzNObTK8sfyxf9F8AsW+k1sC+dAqPqf8AJDW/jsBFW9iQaCA/0Jzase8N30Ait4dw0p5DoUt5ZUsCfJ0OZMLorfeJbV+2butR2fsbLMuoNX7Hi0EaWR//GgoP90R72pjTNjGuIiuAhLlWyGZpKrOy/O5cD7+ZgLYPSjZ6EBIbR76UAjAUWfrzuDFET3Rn9bSiSJJG9r4wfzWfOb6xgUPdh+Pd0nkQDC/f8yo/Hd3FZaEf+b/JTds+o1tY/O85MnJvWLScnx9FNEKohgpsGcHNzo1u3bhw/frza54ODgy/JpJaZmYlKpao1SNFqtWi1l16oqNVq8WVmRxEjPXELU9nG9NfAPUJN8DBXHlq0BICbe15Bh6B2l6znyHOTmGzrQekSo63SBn8PHzRKdZW5NgAKScJ6PsjWKNX4e/jU2XZZlrGaZJSNLL7p4wWj+znm4rutfm6uGuJFYrKFX7YV88Y3+XzyZHCrT29cnZrOzzNjbiMp7xz7UxN5bPV7LJr2Mu101SewUHvDoFdD6H6PP38+m8HRhfmc/K6I0z8VEzzIFdkCCoUCQzqUZZspPF61NlPhcQsqlbneBUgdbVhsL776axWDoy/DRatrtl7ktvrZaQvEuWmdxDlpnZzvl9GBDAYDCQkJDB1afZG1gQMHsmrVqirL1q5dS58+fcQHACjNMHNuawlRV3ug0rV85jGFUsKvu46S1JqHVw1+J5jlB9dxKjcVHxdP7hzY+hJBJCTZ5tt0jq4aPIR4+rPytnfJ1xexJ+UIb238BgCrLPPqlfcR4xeGt4sHIfWYc5OyoYQ/ZqbQ55kAut7dBnsPndR91/twPNnIqXNGjp81OmVwUxO1UsW8iQ9z86KnOZOXxtO/fsT71z6OUlHzd4V7uJrLF4TT/UE/tj+WTuqGElI3ljD2u3C0vkoWxx3HUnbRyGsJ1k+3DZVU6iSmJXZo9QFOh4BIfp79Dn5u3o5uiiAIQqvXenLbtkKPPfYYmzdvJikpiT///JMpU6ZQWFjIzJkzAdtwshkzZpSvf9ddd3HmzBkeeeQREhIS+PLLL/niiy947LHHHPUSWpVji/P5/fqzrL4m2SHHT9lQTPJvtsBG539RxqnzN0JLUk30CI2jW0h77h96I566lq/DU5eusVriIjXEVwpuSo1lHM08TYinP/FB0fQO71xlmxi/MOKDousV2ADsfS2LklQzuQmGule+yKc/5rFmZzGlZda6VxYaRKOWeP52fz54NIihl7W9+Xh+bt68d81jaFVqTuedI6c0v17bBfR04Zr1UVz1azt6PxNAhxu8cfFVXRrYQJVxmpYymbStpTjD1NPKgY3ZamHD8b8c1xhBEIRWrO3c9msGKSkp3HzzzWRnZxMQEMCAAQPYtWsX7drZhimlpaWRnFxxoR4dHc3q1at5+OGHmT9/PqGhoXzwwQciDfR5Sp2Ee7iKmEn1q3BvT8ZCCxtm2zKIdbnLl2EfhZC2tYSSNDNuISryEg1sviuNXc9mMnVyexZOfbHF21hfd19XNZVtiVHPvT+8zvGsZD65/hm6hbTH28WjfIiaRqnG26X+f/OM3aWk/FGCQgU9H6t/ZjWAnAIL360vAqBfZxdcnWdag9MI9lNV6bGxWmWnzJ5Wk87BMXxw7RziA6Pxcql/pj1Jkoi60oOoK23vdZ2/EoVWwmo4H7goACvIEkiVYpl101PQ+CjLt2vtrLKVOave54/ju3l85Aym977S0U0SBEFoVURwU4tvv/221ucXLFhwybLhw4ezd+/eZmqRc+t2jx9d7vRFtrT8XdLtj6VTdMaEZ7SaQW8FoVBKhI2ouHAKHebGsUUFGAutGAuteLSigp11UUgKlJICSZKQz9+WrjxErb5D0S7Y85ot61THad4NHq4jSTDjSk8yci34erW9eiytzbFkI68tyObZ2f7EhrfuoVUNMaBdtyqPjWaTLS1yA3hEahjybjDbHkrDagTOdyRKMoxeFI57uIq9b2aTtaeM8FEVPbTHlxWQ9beeuFu88evW+qJzhaSgS3AMW0/tI9ijYTcfBEEQ/g1EcCO0KIVSAmXL3mVO2VjMkc/zQIJRX4Wjca/moluCDTNX0DE2FJeO4S3avoY4m2Ei0EeJttJEfxe1lg8nP0FqQVaVSuYhnv4NCmoAco+UkfRTEUjQ84mGXzj5eiqZdbV3g7cTGmfRbwWcSTfz/OfZfPJEMO6uzhOU19ey/etY+PcvfH3zi/i5VZ9goCbd7vYj6moPNt99jjO/Vsy1S1lXzJD3Q5jwaxRWswwSpG4qpiTNzP63s8naW4bOT1ke3MhW2zqtJR387H7XMLpjf9r5iAKfgiAIF2t7v4RCq2O1yOQcbLl6NhcLGeRK76cDuOxRf8KGVz+HZv2xP9ma/xeLDqwmX1/Uwi2svyc+yuTqR1LYdTSbP47vLl/uqtFVCWwaa+/r2QDEXOuJb3zru2stVPXYdF+C/ZScyzLz2tc5WK2tf+5IQ5SZjCzas5qz+Rk8tupdTJaG16bxiNAw/ONQFJqKwOTIwnzeGX0Kvd5K0spCFkYl8tPI06ybmkLW3jKULhJqj4qfx3NbSlgYdYy/Xsy0y+tqKkmSqgQ2RYZSjmWdcWCLBEEQWg8R3AjNLnVDCd92P8FPo5IccnylVsGAV4IY9Gb1BTzLTEbmbV4EwK19JxKk8+PvlzPZ/lhaSzazTrmFFtJzLJjR88aON3j053f5/ehOu+2/NMPM8aX5APR+KqDB2ydnmEg4bWhzF9itmaebkrm3B6BWwc6Der5dW+joJtmVTq3h/UmP4a5xYW/KUd7YsKBR+/GI1DD9eAeu/zuGUV+Esmm6O+v7avltYS5rppylJKVq0GQpk9lyXxonfywA4NSKIoqTTRSeNlZZL/ufMluvjgPllORz27cvcPuyl0nKSXVoWwRBEFoDEdwIzS7vqAGFRsKnU8vWPclNKMNiqrjwqGlIydd/r+JcYTbBHn7M6jeRjN16/nwuk/3zckj/s7SlmlunhNO2zGXtgjzoFRGHv5s3HQMi7bZ/1yAV1+2Kpd+LgQT2cWnw9is2FnHvmxl88mO+3dok1K1jpIYHb/QF4MtVBew96rhe0uYQ7RfGa1fdj4TE9wfWs2z/ukbtxyNSQ2BvV+Jn+zLiKk98PBTsW5BXtcrtBeeXbXsoHatFZuDrQYxfEUn3+yvSohenmviuxwkWRh3DVOK4zIAuah1qpQqlpMBwUY0rQRCEfyMR3AjNrvv9ftyaFkefZxveG9BY+mwzP41I4oeBJylOqfkHP70wmy///BmAh4dPw0WtJXSoG3EzvEGGTXecqxIgOVJCku2ucZcoLc+Mns2SW14h2i/MrscI7O1C3+cCG7WtUgGuOomecWI4W0u7crA74we6YZXhpS+zycxt+PCt1mxYbC/uH3oTAG9sWMDelIQm7e+2a7x57wovgnfVkupchuKzJtK2lqByURAzyZOAnhVBf+6hMtQeCtwj1KjdKn5Kjy3N59zWkhbr0XHV6Pho8hMsnPoinQKjWuSYgiAIrZkIboQWofNV4RbaMoVMZVlm893n0GdasJTJuATUnLXrvS1LKDMb6RXeiSviBpYvH/x2MDo/JTn/lHHgveyWaHatzhVksfrkL8jIxEdrUUgKAt197bZ/sx1q0tx3gy8r3gynb2cR3DjCAzf60D5CTad2GnTa1jHx3Z5m95vIFXEDMVstPPLzu+SUFDR6X646BfoMS73WLUmrPlCMvMKD2ZmdGLOoIgGJxWQbzrZiWBLntrZcr6+Pqyfh3hXDblMLMtGbGl6jShAEoS0QwY3QrEylLT9c48R3BZxcXohCBZd/HY5SW/3bPLM4l40n9iAhMWfkzCrD1lwCVAx6OxiAv57PpDDJWO0+WkKpsYzbvnuRk9ZfKPPaTOdo+6b8NRRYWNgukU13n8NYXL8LvpqoVRKqFs6GJ9hoNQreuj+QV+4OwNOt7aXhliSJF8bdReegGGb0uQpfV88m7c8txJYs1FBHIHh8ac1BlEqnwLPS59FYYCHqag+8O2oIGVJRZPXw57lsvvccWfv0TWpzfSRkJDF98XM8vuq9RiVgEARBcHYiuBGaTXGqiS8DElhzQ3KLDe0qSTex+V5bIoDezwQQ2LvmuSOB7r78PPsd/nvF7cQHRV/yfKeZ3oQOd8Wsl9l8zzmHVTF31eiY0PFKFMYAvIy9aBdi3x6wQx/nos+0cG5LCepGphLW26HnR2g6L3dleUFPWZZJzWpbczBc1FoWTn2R2f2vaXJaZnV3HRtvduf3ae5Yannbt7+hIoiyWuRavwdc/FWM/jqcqUc72NLen3fk8zwOfZxLxq6K3hyrWcZaS82vomQjWXv1FCU37MZKmdlIibGUzKJcSoy2YCqtMJuEjCTSCh3fCy0IgtDcRJ0bodmcWV2EuVSm9JwZpbr57+bLssym289hyLXg31NH72fqnjsS7OnP5G6jqn1OkiRGfBrGt91PkLqphPxEI+6xjrkfcFPPsfiY+2IyqlHasRq9WW8tH3bX+0l/pEbsO7/Iwo3PpNIlWsvr9wWiaYFzLdTOaJJ5d2kum/aUMn9OEDFhbafAp1pZ8bNVaixj15mDjOrQt8H78fdWYglUYi6zkh+oxC+9Uq/l+bfw8P8LocPN3uWLD87P5djifPo+F0C7qzxqDLAuXt7vxUBOLCsgZnJFnZ4zq4vYeHsqXe/2pd/cqpkci5KNLI47jqVMRqmTmJbYod4FdXuGxfF/1z1Nx8B2eGhdSSvMZuIXD2O0mNAo1ay87d0G178SBEFwJqLnRmg2nf/jww37Yhn4ZnCLHO/o1/mc/qUIhUZi9NfhNQZURYbSek9I9onTcvlXYdx0sH2LZns7nnWWZ1bPx2i23Xn39VJy82h/ZlzZsCKGdUn4Mg99pgWPKDXtb/Ju1D7+OWHAZIZivVUENq2EUgk5BRYMJpm5n2dTrG97PWvFhlJmLPkvj/w8j62n9jV4e4VC4qX7A3lnhCeRqqrvW/dwNeOWR9D1Tr/yHhhZljn4UQ6Zu/X8OiGZZb1OcvKHgnolDmg3zoPLvwzHNagiMDu9qgh9pgVDftVzk7a9hNJ0M5Yy234tZTJl2Q0bLto7Ih4PrW1YXL6+COP5LGpGi6lV1/ESBEGwB9FzIzQbSZIIuKzhKYUbK3igK0EDXIi+xrO8snh1Pt/5I1///Quz+k7g4eHT6txvx6nedmxl3UwWMw+seINzhdn4uXrxyIjpzXIci0lm75u2Xpuej/s3undtWE9XFr0YSn5R0+brCPajVEg8c6sfd76eTkqmmTcX5vDCHf5NHsrVmrhpXOge2oHj2ck8+csHLJ7+ClG+oQ3aR9dYLcRq6X69N2lbSyhJM+MWoiJkqFuVYWVg+z6bvC2GA/OyOTg/l+z9ZayZchafzlr6PBNA+xu9LtmmNsM+DiX2ek882lX0yKRsLObnUafReFe975ibYEsOoPNX1rsHJ60wm3x9ESsPb6my/NT5WjjeLh6iB0cQhDZJBDdCm+ETp2Xy1pjyISXVOZ17jsV7fwOgT0TnBh8jface4/Hm7cFRK1XMHXcXn+74gf8MmERpmZVt+0uJj9YSEWS/+TbHl+ZTnGzCJVBJ/K0+TdpXqL+KUH/xddKaeLkrmfsffx6cl8G2A3q+W1/ETWOaNgm/NZEkiacuv5VTOSnsS03kgRVvsWjay3jq3Bq8L4VSImyEe53ruQaqGPh6MD0f9+fA+zn880EOeUcMrJuWQtq2UoZ/XP/gSqmWiBzrUf64KNnIqitOA2DMtyIpQLaCpID101Ns22glph2re4ha5aFoVV6nJPH06o8AxBA1QRDaLDEsTbA7q1lm+cCT7HomA2Nh89/NL8upyAikUEm13j19e9M3mK0Whkb3ZGhMzwYdJ3FxPiuHJ5P7QSAWo/2TC1SeqNw/sitf3PhfPHXuJJw28vrCXJ78KNOux/vngxwALnvEH5WL+CpoizpFabl3ii1w/d9P+ew/1rYKfKqVKt6Z+DDBHn6cyUvj6V8/wmJt2BC8E2eNvPxlNh8uy633Njo/Ff1fDGLGmTj6vxyIzk9J/G0VNwgM+RYshoa1oyzbgrVSLCJbq/4XwGKoGKJmKLBgMVZ/jMpD0SqzVvqOMVpM5JUWNqiNgiAIzkBc0Qh2l7KhmIxdeg5/motS17zDYAqTjHwTc4ztj6fX+EN/wbZT+9h6ah8qhZLHRt7S4GO1G++OLkCJ+ayGf+bV/0KoPvamHGXa4mfJKckvX3ZhCFFCkm1ISqdo+/YYXb06ij7PBdD17sbXy1mypoD3v83lZIrjUmULtZsw1J2x/W0FPl/5KoeyOj4nzsbPzZv3Jj2GVqVma9I+Ptr2XYO2L9Fb2fB3Kb/vLOZIkoGMBhRA1Xop6fNMIDNT4qpkZtz1TAbfxB7jwAc59U6Hr/NXVvm+lBRV/wug1Eno/G1pvve+lsUXfkc58P6lGdC8XTzQKCt6eRXnv0sUFw1L/OXI1nq1TRAEwZmI4Eawu9Chboz9LoL+rwSh1DTfW0y2yvxxawrGQisZf5aiUNUcSJksZt7a9A0AU3uNa/DYfLAVIh34ZgAAe1/JIf+EfYrkWaxWXlr3Pw6nn+TjHcsvef7I+eCmc5R9M165BtruPms8G1cTRZZlVu8s4ectxZzLFvU0WitJknjoZh96xWl5YoYvumb8TDpKfFA0L1xxFwArD2+mQF9c7227ttcyabg7RjPc91YGM+eea1CAA7Z6NxdYTDLJvxdTkmpm24NpfBOdyN63si6pIWW1yKRuKubY0nxSNxXjFqZmWmIHbtgTy+hF4VV6bkYvCueGPbFVsqZl/KnHVGzFJbBiOKg+y8yuZzLgkCsrb3uXb295jVevvK+8x8Yqy7xy5T2M7zQIrVLNdd0vr2i3bHVYuntBEAR7EoPkBbtTuSjocIN9s3pV558Pczi3uRSVm4LLvwqrNY3xt/t+53TuOXxdvbhj4HWNPmb7qZ7seO8UhgOubL77HBPXRjV5krZSoeCDax/js50/8tiIqj1KsiyTcNrWK9LZTj03plJro+vZXOy+KT7sPKSnd6eaEzgIjqfTKHjrgcA2lVDgYuPjB1NkKGV4bC+8XOqeP3OBUiExbqA7P222BURGMxQUWwlqZIemUi0x9XB7Ehbks/f1LIpOm9g5J4N9b2TT42E/ut3nR8ofxWx9MI2SlIogyi1cxdD3Q4idfOl3p2+8loBeVZOzXPNHFFn7yvBqX3HTI3lNEXtezeLM6iJu3Ne+fD6N0qTEorYFV7F+EVzdeRhFhtLyjGoAm3MP8/PyfTwyYjo9Qjs27sULgiC0AiK4EZxS/jEDu57KAGDwW0F4xdZ+4R/s4UeAuw/3DL6+yg96Q0mShM9dWWQ9HEXK+hKOLSkgbpp3o/alNxlwUdvaHeEdzEvj77lknXPZZgqKrahVEBtun56b1RPPIFth2Ech+HZufFAiSRIDurkwoFvLZcQTGq9yYJOaaeJsppkBXdvWubvhsjFVHsuyXGtAl5Fr+3wlp1edn3LhsZe7giDfhv9MKrUKut7pS/xsH44tzmfPq1kUHDfy57OZZO0r49SPhXBRJ0lJqpk1U84ybjkE9nFBqZPK69xcGIpWmaSQLilS7BGlocNNXvhfVvG59tK5c9Mb91Hknc+2W37B28WWxKDy96DJYubvghMU55aRWWTfIbeCIAgtTQQ3gl3teCId385aYqd4oXZrnuEvVovM+pkpmPUy4aPd6HJX3bdYx8QNYHD0ZUAz3z0AAHj9SURBVGhVTQ8QVCFmej3tx1//zWb7w2lEXeWB1rthQ7s2nfibF9d+zvzrniQ+KLrG9Y6e77VpH66xSw2ZjN2lpPxRgkIFave2NzxJqFvSOSMPvJOBxQofzwkmKsR+Gfhak7WJu1hxcCMfXPt4lcKfF2Tkmpk59xzG850nkgQXRmW9usCWbEOjgq/nhjYqwAFbL078LB/ibvHmxLIC9s/LJn1H6SWBDWBbJsG2h9K5Jakj0xI7UJZtaVD659ChboQOrZotTpvigVuBB54mD755YG55b07y2iJMRVYixrijdlFxV+QVFAeruLxjv/JtdycfRpat9Ivs2qZ7/QRBaFvE1Y1gN8UpJva9lc0fs1LRZzXfHIz9b2eTsUuPxlPBqC/C6v2j66rRoVTY5y3f/RFfQoe7MuitYDReDdunLMt8s2c1OaUFfH9gXa3rXphvE2+nIWl7XssCoON073pfMFWnqNTKT5uLSM8Rc22cTWSwmrhIDWUGmbmfZVFa1rYSDAAU6It5ce1n7Dh9gNc3LKh+nWJreWADFYFNZReGqDWVQinR8WZvBr8VTGlaLZ8ZGYrPmkjbWoJHpIaAXi5N+pwC+HXRMfNsHFf+2I7wgIDy5XvfyGbNlLMkfJUHgKfKldv6XIN0Ppe+VbbyxoYF3PH9K/x4cEOT2iAIgtCSRHAj2I1SJ9H/pUA6zfTG086T3ytzDVah9lAw5L2QWn/4ZVnm8VXv8fOhTVhl+17AKTUSkzZG02mmT4PvaEqSxPuTHuPuQVN4evRtta47fbwXL93lz/iBDa/dcbHcI2Uk/VQEEvR6IqDuDWqx+7CeD77L4+mPs5rcLqFlKRUSz8z2x99bSXKGmTe/yWlzE8m9XNx57ar7kZBYfmA9y/ZfehPBy12BplKHzIUpe5U/zhqVLZC3l5LaAptKipIvTePcFO7haiKv8KiyLLCPC14dNLS7smJ5yvpSvok5xu4XMjGYTfSL7IKfqxdjOg4oX0dvMlT7filKNpK1V09RssicKAiCY4lhaYLduPir6PNMYLMfp9NMHyKucMc1qPa379rEXaxN3MWWk3sZ0K47QR6NT3lcncpBjbHQglIrodTWfL8grTC7fEiIu9aVuwZNqfMYPh5KBndv/Byhyva+bksZG3OtJz6dmtYT5KZT0K29lu7tm7egqdA8fDyUzL3dn4fmZbBln57lG4q4/vK2U+ATYGhMTx4YehPvb13KGxsWEOsXTu+I+PLng3xVfD03tHzOzYWhaLIMT8/yIzJYTV6hhTkfZjKgqwtzb/dHXUtGxvpwC6nfT+7WB9KwGGS63G7f76zKBr0RzKA3ggEwmWzB1NnfSyg6baIk1YSLWssTo2bx0LCpnP6uFAYZ8YzW8PyaT8gszuWJUbPKh9QWJRtZHHe8fI5Q5axugiAILU303AhOw2quuFvoFqyutcdEbzIwb/MiAG7tN9HugU1lp38tYkn8cfa8fmm9iQtWHNzI1f97kHWJu5qtHdW5kG72wAfZJC7OB6D3U03rtQEY0M2F9x8JYvaE5s+KJzSPztFa7r7OVnjy0xX5/HOibRX4BNtnf1ynQZitFh5d+S7nCqr2NAb5qugYqSEyuOq8o8hgNR0jNWTmmVFIoNNKTQ5sAEKGuuEWroJadiUpwVhgRVWp5o3F2DJpmvu+6M+VKyOr1L4ypsH66Sksan+M9NR8Np/cw77UxCpDfMuyLVjKbO2zlFUUGhUEQXAEEdwIdnFieQHpO0ub7Qc4a5+exXHHSF5bVK/1v/5rFelFOYR4+DOz74RmadMFpmIrJefM7Hk1i7zE6mvf7E9NxGy1sDf1aL33u21/KQt+ySfxTOPq6Zz8sYCFUYn8NPI02x5MBysotZJdh42IScbObdJwdy7v64rVCt//Ub/PljORJIm5V9xJp8Ao8vSFPPTzO+hNl36eKg9R06hsjwEmDPXgi2dDuGuyd/m6JXora/8swWpt+HedQikx9P2Q8427uLG2f2OXRjD+x0hir6+4cXDwo1yWxB/nwAc5GAqaL3BQuymInuBJQM+KLGyGXAuhw1wJGeJKcJg3q/7zHs9fcQepz6pYNf40iYvy2bD+nyr7yU0wiCFqgiA4jBiWJjSZ1Syz5b409BlmJqxpd8nY7qayGKz8MTOFwlMmjnyWR+TY2vefVpjNV7tXAvDw8Gnl6ZabS/sbPDn6tTvJvxWz+a5zXLPh0to3/x17B/0iu3Jl/OB673fjnlI27ilFrZKIa9ew13DyxwLWTDl7SVYmi0EuTzdbXT2N+kjLNhPgo0SlFIGNs5MkiUem+tIuWM2NY9rWsLQLXNRa3pv0GFMXPUP/yC5olGosVit7UxLILsnH382bXuHx5UPULk7/fHGvzqLfCvhufRG7D+t5drZ/g9sTO9mLccu5pM6Ne7iaIe8FV/u5PLY4n/xEI9seTGPX0xnETfei271++HVr/vpS/j1cuHZzDFaL7csk0N2XSfEj+eK7BIwFVpLXFANuWCUrClkBkq2nBxBD1ARBcAgR3AhNZiy0EHmFO+e2lBA2qv7F8+pr9wuZ5Bw04BKgZNjHoXWu/96WJZSZjfQOj2ds3IA6128qSZIYPj+UpV2Ok7qphKNf5xM/y4e9KQn0DOuEJEkoFQqu6jykQfttbKY0q0Vm64Np1aebPW/bQ+lEX+OJohEBylPzM8kptPDaPYF0raO+kND6uWgVTB/ftocXhnj688Ost/B19WT9sd28uWEBGcUV9VyC3H2ZM2oWoyulQa6Jn7cSF63E6L6NT/IRO9mL6Gs8SdtaQkmaGbcQFSFD3Wr8PE7aFE3iN/kcnJ9L3hEDhz/N4/CneYQMdaXHg37EXtf8569y2yQlDPsolPW3pFQ8L58fCFLpe+fCEDWdv/0KBwuCINRFfNsITabzVTH663Cmn+iI0g61WCpL/7OUfW/Y5rIM/yQU18Da4/HTuedYc3QHEhJzRs1ssWFTntEa+r5gS6aw47F0Pt3wI7d++wKf7FjeqP3lFFjIyLUgSdCpXcPueqZtLalyR/gSldLNNlRBsYXCEitlBpmo0LZZH+XfzGKR+eynfDbvLXV0U+zuQmDz2Mp5VQIbgMziXB5bOY/1x3bXuZ8pozxZ8lIo/btW9JrsPKhn6dpCjKb6D1VTKCXCRrjT8WZvwka413qjQeOhpNs9ftx8qD2TNkYRO8UTSQlpW0s5sayg3se0F0mSCB3mirLSvCCpmqsJq9pCmj6L//kk8H2/k5jsmHlOEAShJqLnRrCbxvQC1Mastw1Hk63QYapXvYZRRfmG8vXNL3Dg3DE6BUbZtT116fGQP8cWFZDzTxnpv5RBKEjV/eLXQ8L5XpvoEDWuuvrvw2K01vtip75paSvzclfy/ethJKebcHcR90baml+3F/Pt2kJctBLRoepLhmQ5M4vVypsbFtRWP5M3N37NyPZ96qyH5eVeUbTXaJL5aFkuaTkWJOCmsc03vE+SbAFR2Ah3ilNNHP4sl3bjK4bp5h018OdzGXS715fQ4W6X3NyxWuR69xbVxSNSU15oNDfBUD4UDaDrfB2vnvwEs4eB0XnPYTUWYsizVOm92fN6FmU5FjrN8savS/MPrxME4d9DBDdCk+QcLkPnp8StGS6Cdj2TQX6iEdcQFcM+DKn3dpeFxXFZWJzd21MXpVpixGeh/DDwFEMzhjLl4b70iOjQqH0lnLZNxO0UXb9eG0OBhcOf5fLP+zmUpNYvaKlvWtqLKRUS0aFiDH1bdNVgdzbuKeXAcQPPf57Nx48H4dKA4Lo125uScEmPTWUykFGUw96UBPpGdqn3flVKmHmVFys2FXPNsIphubIsN2vPsXuYmv4vBFVZdvDjHE4uL+Tk8kJ8u2jpeo8vcbd4o/FQcvLHgkvm+biFqxj6fgiRExqXbt4jUoNH5KXLOw8IY+EtT3M0M4n42EDCk70pSTXzxZ8/0zUkln4RXUj4Mo+C40bCRriVBzfFqSay95cRMsQVrZfy0h0LgiDUQ9v41RIcZuv9aXwdlsixpfl23a9slSlNt/0Ij/w8DJ1v7RfiRYZSUgsy7dqGhpBlmZWHNuPXR8PUIx0YuziiUYGNxSqz/1gZO/6xDQvqVM+JuKuvOcPOORmUpJpxCVKi8VTUnG5WAvcINSFDm14YVGhblEqJ52b74+el5EyaibeX5LaZAp/ZJfl2Xe8ChUJi7AB3Pn6iaiD48pc5zF+eR3ELDsXqcrsvXe70QeUqkXvYwJZ701gQlsiqK0+zZsrZS4arlqSaWTPlLEkrmpYpT+evLB+iptRJ6PyVBHn4Mjy2NwAeERr0HfL4aNu33LHsZU7lpNL3+UDib/MhZEhFYJX0cyG/Xn2GNdclV9m/uUwMZxMEof5EcCM0msVoxWKQkWUIHmSfQpMXSAqJsUsimLI7hqir6s6+9umOH5j05aMs27/Wru2or/e2LOG5Nf/Hk798gHdc43o1tuwrZeqz53jkvUzOnA/svvqlgC37Lp3/kLVfj7GwIiVslzt98YnXMvKLMGaeiWPUV2G2J6pLNwsMeS+4wcNRtuwr5e7X01m1te2lDBYq+Hopef4//igVsPHvUlZsKnZ0k+zC3827Xuv5uTVucn7lXpoTZ41s3FPKik1FZOU3fPhnY/l10zHikzBmnevEkPdD8O6owVRkJfm34uoTjJxftuPRTOQmZJi+METthj2xNWZH89C5ceNlVzA2bgCx/uHETfNm1P/CyFcUlAfQCpWEV3sNYSMqbrxYTDJfBR1lWZ8TlGa23N9SEATnJYIbodGUGgXXbY9hxpmOeDZw0ntlFwpNHluaT+qm4vKUowBBfesOmk7nnmPpvjUYLSbCvILqXL859IvsilalZmBU9/KLnOJUE7/fmEzO4bqLI27ZV8rcz7PJyq96hZFXZGXu59ls2WerIZT8exE/j05iWc+THPlfXvl67W/w4uZD7ek82welVnE+3WwEbmFVe7zcw9WMWx7RqDTQOw/qSUw2kiIuMNq8rrFa7jxf2+X/fsjj0MnG1VpqTXqFxxPk7ltb/Uw0SjW9wuKbfKz2ERreuC+A/0z0rjKEM7ewZYpbar2U9HjAj6kJHRj0Vh3fiTKUpJgxHGnavBePSA0BvVxqTPvs7+bNk5fP4s2rHyxfVmos44aFTzD7uxfIKs6jyx2+TD/ekV6VCg3nHCjDWGil6LQJF/+KoWoHP85h+2NpZO3TN6q9RclGUYtHENooMedGaDKPiMYHNtWNA1e62FIrx9/qU699vLVxIWarhWExvRgc3aPRbWmKwdE9WHXb+wR5VFT23vFYOieWFVKSaubaLdFIiuovqyxWmfnf51X7HIBkkVn+33RST1vIPWS7yJSUtuDpgup6YRqabrYut1/jTff2WjqKmhX/CteN9ODIKSO7DunJK3L+ivNKhYI5o2bx2Mp5SFTfkfHgsJtRKW0X0AX6YgoNxUR4BzfqeH07u9C3c0UxzNwCCzNfOEe/ri48OtW3QYlCGktSSLiF1W8+pCmpZT7XlXu4Dpw7RolRT3ZJPj6uFYkYKn9HBfZxYWZKHIUnjVW+QxMX5pPxpx6/7rryoqNluWbStpcSOtQNrXfNc3aKko0sjjuOpUwWtXgEoQ0SwY3QKIYCCypXRZNSP9dYaFIvs2F2KhovRZ09DFtP7WNb0n5UCiWPjpje6LY0lMVq5bNty7i51zh8z/8oVw5sAAa+EUTSqiLStpdy5Is8utzuW92uOHjCcEmPzQUd9hvo8I8RlxKZXEDtrqDz7T50f9CvXr1lF9LN2oOvl5Lxg+xfx0honSRJ4rHpvmTmWYgKaRtZ00Z37MfbEx+5tM6Nhx9zRs6sUudm/vZl/HhwAzP6XMVt/SfhpnGpbpf19vfRMkoNMueyzOg0LVcAt76JQwq+DOCnw2eIm+ZDx6le6Pya//JgYFR3fv3PB2QU56BS2IIRWZZ5df2XjIkbQN+IzkiShHuYGveLgrQeD/uT8kcxYSMrhrCdXVfC2pvOEtBLxw172pcvtxisKLUVwWRZtgVLme2H50ItnuoSIwiC4JxEcCM0yu7/ZnJ8aT6D3g6m04z69bBUVmehSanuQpMmi5m3Ni4EYFqv8UT51l3g017e3bqYb/evZXvSfr6Z9nK1qWM9IjX0fymQ7Y+ks3NOOlETPKrNKpdTUPNdcZ9MCy4lMnpXichbvbnm5eBa70gKgj256hREhVS8t/UGKy5a5x7NPLpjP0a278PelASyS/Lxd/OmV3h8lc+wxWrlXEEWJostw9fKQ1t4cNjNXNV5CIpGpncf29+N6FA1ErYkBLbjyOxJKKNvZ12zZVYLGeqGW7jKlkWxhu9bpVbCYrSS+WcZmX+mEdTfpUWCG7DdFKp8Y2jrqX0sO7COlYe3sO6u+Xjqqr+h0uFGLzrcWPXml9Us491RQ+jwioBHlmUWtT+GS6CKIe+HoHZVkJtQdZjlhcc6f6XowRGENsC5f6Wa2WuvvUbfvn3x8PAgMDCQSZMmkZiYWOs2mzZtQpKkS/4dPXq0hVrdNLXNf7lAlmVSNxajz7Kg82/cD6A9Ck0u3fc7Z/LS8HX14o6BkxvVjsaa0n00wR5+3DZgUq01Mbrf70dALx2GfCvbHkqr9m9rNtv+651loe+6Utwr9eIk9tLy90gdv013p+MDfg4LbL742VbY0WAUWYv+rQ6eKGPG3DS27Xf+Ap9KhYK+kV0YHz+YvpFdLvkMKxUKPpw8h/cnPUaEdxBZJXk8+9vHzFjyX/5JO97o43aI0NC+0jDeNTtLeHJ+Fs9/lt3ofdZFoZQY+v75VPrVJRiRYNTCEEK+OMPAdwKJneJJYN+KXqot95/j9xuTSVpZiKUFPv9xgVHc3HMcM/pcVSWwScpJrTNzX9w0b6YldmTQmxVDCQuTTBSnmMk5VMbK0adZ1vukrSbPhb+FAtZPT2FZ75Msjjsu5uAIQhsgem5qsXnzZu6991769u2L2WzmmWeeYezYsRw5cgQ3t9rT6CYmJuLpWTGGOCAgoJa1W4fa6iBUHh4mSRI37G3P2XXFRIypeZiSLMuUppkpOGm0/TthxFhgYdiHofUuIFnbelarFa1KzQNDb8Jda99sbXWJ8glh5W3volXVfpdPoZIY8VkY3/c9yYnvCjnxXWH5c27hKnR3erN6dwlD9xgJPGcLakxaif3DbBcXBf5KCvyVBPgo6dZe23wvqBbpOWYW/16IQoIf3wxDK25s/ittO6Anp8DCGwtziApVEx7YNoaq1USSJEa078OgqB4s3vsbn+38kYNpJ7hl8XO8NO5uJnYd3uRjlJZZ0ailZv9s2xKMcMn3u3u4miHvBRM5wZWE1Ra6TfdB/UjFebUYrCR+k4+xwMqJZYVofZTETvGk4zRvQoe61jiPsCmCPHx58vJZVZYl56Vz3YLHuSwsjo+vewqduu7v3Qu8YjTMOhfHqZ8K2XJPWsVKF+KkSvGapUzmrxcyiZroSfREj2atUyQIQvMRwU0t1qxZU+XxV199RWBgIHv27GHYsGG1bhsYGIi3t3czts6+apr/cqEOwrjlVAlwFCqJduM9sJhkCs8Yq8z/2PlUOqd/KaLwpBGzvuoOJQUMfie43uPAa1tvVr8JjOs0kECP6uey2JPBbOSFtZ9xS88ry5fVFdhcUHTGWO1wkOIUM8XPZdP//GOrAs62V5PU+dL93jvFB2UzXEjUh0KC6y/3oKDYiqebGBL3b3X7JG+OnjZy8KSB5z/L5qPHg5x+iFp9aFRqbu03kas7D+WDrd+y6eTfDInpaZd9X3+5J0Mvc8W/Uo/syRQj/5wwMHGoO8pGJv+oTm0JRkwmU7XbKDQS1/wRzbEl+RxfWkBpmpkjn+dx5PM83MNV9HjYn8se8a/1uFaL3OSkJgfTTqBQKHBV6+oMbKrjFqIm6ioPtuvSy+falGeVUFAe4CjUkPBlPqmbSoi5puLm5Olfi1C5SgT1c0Xt1vbf84Lg7P6/vfsOj6pKHzj+vVMzJb0X0qiB0EPviICgoIhiBUSxoYuyirrqb+3YZV0VyyKgqFiwICIKSJciVToEAiGFhPQyydT7+2OSSYYkEEJCCufzPDw6d87cMiczc9973vseEdxchPz8fAD8/C58Mt29e3dKS0vp2LEjzzzzDMOGDauxrdlsxmyuyAEuKHBe3bdarTX+6NQnh11m4z9quP9FBiRYPyMNu9VGwUkrBScq/hWdsoIEd+e3Q1FWXKDglNmtqpcxUo1XazVesWq8YjVYSqwE9NVgCFdRnFZDHrgEhnAVAX01530P/HXe2G127DRsNaf/bPiKXw5uYtfpw0wPHl7rfnG9t9WQKv1P/MM+mK/Ws/FPE/l5FZcSA30U3D/Bi37x6svyt1AdX0+4Z5xzhK6x9qE2yvetKe9jc/fUFG9mvJFFUpqVt7/I5vE7vGt9dbu594+P1sj/jbiHfwyYhKdah9VqRZZl5vyxkP7RnRkS27NOV/r9vUB22LA6nKPd//0mh78TLaSdtXDv9V4XXsFFChqgBZwjRXaHDbvj/H3j20VFny4B9HrZn/QNJhKXFJL0fSFFKTZKcip+o+xmB8WpNrxiK4KPpB8K+XNWpvN+nzKGcBX93w4i5oYLz19WbmTbPnQNaYvFXrG9Emspz/72Ibd0HUnPiLgLvvceoRKT9sdQmm0n95CFtVPLvpcdMGxhKL5xGkxnbCT9WIQuQOn2Xmx+LJ28wxZG/xhO5Bjnd6Epw0Zxig2/zlqUDVggorl/blo60S9NkyS3lOmnG5gsy4wfP57c3Fw2btxYY7sjR46wYcMGevbsidls5vPPP+fDDz9k3bp1NY72PPfcczz//PNVln/55Zfo9Q2fblW6z4OsZ8Pr/HpJ4yD4/WRUgc4Aw3JUi6NYgSrEijLQhlRDCF2yxUD2a+VzMFT+cXD+Sfo/kYGun/s9N7Iss/zsDrp4RhOlu3ypfiV2C1+mb2C4Xxdi9EG1fl1t39uAF1Px6FyKQ4a0XCPFZjUGrZUw3yIaacBGEKqVmmNg6Y62yLLE0LjTdI1suPtFmrqjxWksTlsPQKwumDGBPQnS1m0SUABZhn2nA/grKZibeh/FS9c0T5xkK5TuNKCOMaMKdgYuJVv1ZL8aiqZ9KfrBhaCVyXuv/Du6dt/vF2Nz7iF+y9qDr9rIP6LGoryIQg+W4xoy/9nK9TjordNoWld/r43sgJy3g7Ac8SDojVSUPs7fuaLfvMibF4i2h4nA/6u4gGXLUqL0tyMy2q4MJpOJ2267jfz8fLdbEYTGJYKbWpoxYwa//PILmzZtIiIi4qJee9111yFJEsuWLav2+epGblq1akV6ejr+/v6XtN+1kbikgD8mVz+6UJlnjBprsYPSTDsxE4zEz/DFq7UGfaiyzrnJ1V7Zi1DR/63qr+z9dmQLT6/8AJ1ayy/T/oOXx/nvfboUsiy7HZcsy9hsNlatWsXVV1+NWn3hew5q+94O/yyUNrc0vS/GlEwbdodMZLCqyeefW63Wi+oboe6+/aOI//1UiEoJb8/0p30typK3xP4xWUpZsONnFu9agdVuQykpuLHLVdzXdwLeNVT5qg2bXUZVKXVr8cpCbHa4ZYQBjwZIBayPvtn1SjY7X8hCrk3NgbKR+VuPxdZ53q2MwhwW7VxOp+BYxsYNBJzf0QcyThAf0vq8ry1KtvJ1fJJrnptJ+2MwRl7ccf89N4fdc7LpeJ8PvV5wBnEOm8wC/2OoPCRu3BGNsZXatbzyfUAXoyV+blqS7OxsQkNDRXDTxIi0tFp4+OGHWbZsGRs2bLjowAagb9++LF68uMbntVotWm3VG0rVavVl+TLzalW7m1mv+jQc3zgPji3Jo/WN3hgjLn3f2t3sR5sbfWuVk11iNfPu5iUATOs9Hn9Pn0vefk0KzSb+8cPrTEm4lqFtElzLy0/wa9s3nhG1e2+9Wmmb5A/X0rUFrPizmDuv8eKu63wae3dq5XJ9bq5kt4704cgpGwqFRGyEDrW69ifcLal/vNVqHhlyGxO7XsVb6xfzx7G/+GbvKn4/upUZA25iQperXPO3XIzKb8/ZXBtLVhVhtUF8ax39Ojdc8YFL6Zs+/w4h/l5/Er/JZ/+8HPKOnKfqmAzFKTaytlrqPA9XhF8wT199t9uyzUl7eXDpHAZEd+X9G5+s8YKMb2s1tx9pS2mWvc7ln3s+HkyPx4Kwm2VUZX//eSfN4ADZDj7ROlfBhc3/OkPi1/kkPBNIp3vrdo+oOR2K822iXHUT01K+y1oaEdychyzLPPzww/zwww+sW7eOmJiYOq1n9+7dhIaG1vPe1Z/QQQY8ApSUZtVw34rkrKpTHnR0nXn+G0gvVm0nmlywfRkZhTmEeQUwOeHaet2Hc32xcwW7Ug6TnHuGPlGd0akv/oSiyORgwfESPAwSumK5ShVWwO29bYrsDlCrIL5141RqE5omSZJ4+q4A1Cqa/Ije5RDhE8w74//JtlP7eH3tZyRmnebzHSu4Pn4Y1CG4qSzAR8kz0wLYdqCEvvEeruWlFgcemqZ1c7shVE3XmQHoglSsui3lgu3PbDERNsRQb39DJ3NSUStVxPpHXHCdnpGaS564U5IkVB4V2/Fpq2V6QRyFp6xuleQy/zJRdNrqui8VoCjFys+jTxLSX8/Qj8LOu7+2syq3kabbj7QVAY4gnIcIbs5jxowZfPnll/z00094enpy5swZALy9vdHpnKV6n3rqKVJTU/nsM+dkknPnziU6OppOnTphsVhYvHgxS5cuZenSpY12HBdy6pdCzHk1BzYAA+eG1Dl9oD6k5Z9l4V/OtL5ZQ+6oU8Wci3FP3xs4W5zHzV2vrlNgs/+4mZcXZJGRYydikAd9VpZUVOcp10Te2/N5YrI//7jZF7W6ae6f0Hg0aveUzQMnLFd8ENwnqjNfT36VpXvXEOEThEblvKprtdvILMoh3Lv29+uVkySJQd30DOpWcf+lxSpz7ytn6NJWy303+OKpb2pBTu1OLbb+K5N97+UQNcaTqLGeRIwwoDHWPRi8vecYRrTrg0ZZcTU9JS+T53//iOl9J9A7slOd111bSo0Cn7bun4OxP0dxdlcpvh0qlmdsN5FzwIxCI7kFNlufycBW7KDjvb74xTmDWUeBwlXlzV4qU5plv+TATBBaMhHcnMe8efMAGDp0qNvyBQsWMHXqVADS09NJTk52PWexWHjsscdITU1Fp9PRqVMnfvnlF8aMGUNTlH/CwsqJp5FtENxXR9Fpq9v9L+XzIHhGaVh152ni7vIlYnjdc8nr6p0NX2C2WUmIiGNEuz4XfkEdmCyl6DXOHxOVQsmzV99T53V9+Vs+GTl2QgNUPPV4MJrdpTXOMVG5xHZTpPNoWidOQtNid8i89Gk263eZePmBQPp11l34RS2YSqFkUveRbsu+2buKueu/ZEqva5nWe7zre6audhwqISXTRolZ5sEbL2lVDSJ0kAFDhMr5W1LDXb1KnQQSFKfZOPi/XA7+LxeFRqLbo/70ezWk+hfVQrCn+32qn27/ie3JB1AqlJcluKmOxlNJ+BD30fnwoQbG/BTJuXc9H1mUS1GKjdgJXhQmWyg6Y6Z0t3thoZxDznt0RYqaIFRPBDfnUZtaCwsXLnR7PHv2bGbPnt1Ae1T/vGM19Hs1mLO7S7hqQQRIVHv/y4aH0zi6OB/ZzmUPbvalJ/L7ka0oJInZw6c2SBrM2aJc7v3mJa7tNIi7+1x/yet77HZ/Pl+Zzz3jfDDoFBCjrXGOiabKYpXdrs4LQnWUCgk/L2cAPGdhFh8+FUpYgPhpqWx3ymEsdiufbP2BH/ev49HBtzMmbkCdv8v6d9Hz7j+DKTI50Fe6+JB42kKbVo1/sqtQSgz6T6hz7rQaRqyvXhxB9FhPUtcXc3J5Iad+KaTghBVdUMXfjinDxq7XzhI11pOwQXqUdUjDu6/fBNRKFWPiBriWlVot7D+TSEKrjnU8wkvn4aciZpz7DeiyQ6bvqyFkbDOhC1TxRftjZSM2FQGbpIDVdzhT/iQl9PxXIF0f8cfDT3zmBKGcqJbWBBUUFODt7U1WVlaDVUuzWxxuPxTnVgY7V+aOEg4tyKX1jV6XPbhxyA5+ObiJ5NwzzBh4c4Ns49u9q3lp1f8I9vTjuylv1FiFzWq1smLFCsaMGeN2I+G6ncUcTLLw4ETfBtm/yy0rz8bk59Lp0cGD56cH1Otkgg2lpr4RGp7VJvPoOxkcTLLQJkLNfx8LRnvOieiV3D+yLPNH4l+8tW4xqfmZAHQNa8sTw6fS6QKVvWpr77FSHn0nk/5ddDx/b8BFTfrbUH1z/Pv8qiPWraofsZZlmbwjFrR+SvRlAc6hhbn8cVcqAGpPBZEjjUSN9STyGiOGkJr380ITh36x61de/2MRYzsO5JUxD9Xb8dans7tK+Kbn8Vq1nZre3vV+nPipgNQ/iom+1pNWV1/+LIsrTXZ2NgEBAaJaWhMjQv0r0N65WRxZnMf41TFoy2bGvtAVxKAEHUEJjZNuopAUXNep+jmC6stNXUdgsVsZEtvjospLl5Q6+O+3uazc4pyvoVdHD3p1bN5pORk5Nn7bUkSpRSa3wN4sAhuhcalVEv++J4D75pwhMcXK3CW5zL7TTxQbKCNJEle17c3AmG4s3rmCT7b+wN60Y9y2+Gn+OfROJieMveRtHE+xolSAv5fyogKbhtR6gnetR6wlSXK7JwXAt72WDlN9OLWikJJMO8eXFnB8qXOS66AEHcP+F0ZAV/fv2+oCKkOEikH/CXUFVIWlxaiVKnqEd3C1udAFvsvNI0CJ0kNy3WsjKZxz7pT/F0BSQcw4L/TBFadyyb8WcuCjXFQGyRXc2K0yv99yGr+OWno+HYhKpBoLLZwIbq4wO17JZNvTziuHx77KI/6Bhp9Hp66KLSVISJecn16TjMIc/A3erlKtt/e45qJef+SUmZcXZJOSaUMhwe2jvejevmH29XLJyLEx5bk0LDZQKWHS1eJKlFA7gb4qnrk7gNnvZvLb1mI6xWq5dqC4clyZVqXh7j7Xc23Hwby78StWHv6TvlHx9bLuCcM8Sejogbeh4sQ1r9DOtgMlXN3bgKKRAp7aVsOsTkg/PSH99MgOmcwdJZz8xZm+dnZnKZk7SzCEVYzenFpZSMqaIva8lV3lPp/iVBsrJ55m9HfOgOv+/hO5ofMw/PQVo0fbTx/g4z+X8sCAmxo1Xa2cZ6SG24+0peiMmXVLtpPzjnPCa9kBIxZH4Benrfaem+hxXqj0CrdRm/xjZk58X8Dp3xX0fqGiqMWet7M4u7ukQe6lLUy2XFKpbUG4FCK4uULIssy2ZzPZ+fJZAHo9F0Sn+y9cb9+cZ+fvd7Npd4cP3rGX9wvqg83f8NuRrTx79T0Mad2zXtd9Kjed6d+8SPfwDrwy5iGUitpfyZJl+GZNEQuXF2J3QKCPkn/d5U/Xts07sAHIL3JgKbvgabNDiL/4ihBqr0d7D6aN8+Z/P+XzwdJcBnXT4X0J1a9aqmBPP14eM4MZA24mzDvQtXzB9mXE+IczJLZHnUYRIoPdU7XmL8vjl83F7D1mZvadTfdC1oVICong3nqCe+vp83wwxelWMraVoAus+H7aOSeT9A0l1a9ABiTY9MgZYsZ7oVBKVQoPzN/6IztSDrH66PYmEdyAM8DxCJVQbXKfM8gvTktgj+ozBKLHeBI9xn0CbA9/FQPnhmAtdrj9XZ1aUUjKmmK3wKbgpIXVd6YQ1EvHwLfrNoVFYbLFdb+QKF0tNAZx5nIFkGWZzY+dYe/b2QD0ey2YHrMDL/Aqp8Rv89n+70yOf5fPLX+3bcjddHMiO5Ulu3/H5rCjVtb/n+np3DNkF+dzNPMUheZifHSeF35RmZV/R3H0TCEAg7vr+Oft/k2uFOvFysixkV/kIPmM1W15+WNvo4JgccOqUAu3jvQiI9vOiN56EdhcQOXA5nhWCv/duAS77KB/dFceHzaZWP/wS1p/ZIgag4fE6H5Ncx6tujKEqom9viKQk2UZQ6gaqCG4AZCh6LSV9I3F1Y4kvXjNA3y6fRl39R7nWpZRmM2p3DONVmWtnMLL4UpRU3pIeARc3OdKH6yqdn667rMDCB9qIHRgRTW2rL2lpG8yYS1yuLVdOz2V4jQrCc8GEdJXf+6q3JRm2UXpaqFRibOVFk52yGx4KJ3983IAGPTfULo8VPsreJ5RaiJGGIgcXfuT/0slyzJvrP0Mm8PO0NY96R/dtd63MTC2O+/eMJsOQdEXFdgAdAjLJTnHn4du8uWa/vU3AV1jqZyKVpkkwSsLnQGxRgWLngsTAY5wQZIk8ehtdZuF/UoW4uXP5F7XsnjnCv48uZeJCx/nlu6juL//jXh51C1l6KarvLimvxGjruLiy5q/isnIsTFxuFeLqYYoSRIx471I/Lrggm2L022snpyCT3sNYYMNBPXSofJQEOzpz1NX3eXW9n9bf+SbvauYnDCWfw69s8q60guyyCspxEfnSahX/U5uXZkq0Mak/THY8qV6TfOKHOlJ5Ej337/g3jpGfB6B4pyv+uTfiyhKttLjyYqA/PSaIjb+I52oa4wMeDPUlYpWXqq6nChdLVxu4kylhTNl2DjxYwFIMOzjMDreU7uTjvIvKd8OWsaviqlVWez6suHELv48uReVQlntD0pdHTt7miCjL94654nCgJjaBU2lFgen0q20j3Le7BoTWMCifwcS6Nu809Dsdpm9iWYKix1VAhvAbf4Fi82ZshYszlmFi5SUZuHvRDNj+jXvz0tDM2h0PDL4NiZ0Hs7b6xezNnEHX+z6lRWHNjFj4CQmdB5+Uemz5SoHNqZSBx8szSW3wIFBp2D84Mt30aqh1XbiUEkBRz7Pcz1WaiWCeusIG2wgbJCekP56NJ7OkRGNSo1aqXJLi3bIDhSSgvSCLMbNfxSL3YpGqWbZ3e80aIBjjFRfliqDhlA17e/wqbL86i8iyP67lICuFZ/jrD2l5B404xendUtFq6xy6WqlVuL2oyJFTWh4Irhp4Qyhaq7/I4asvaW0nVS7ySIbM1/Warfx5trPAbij5xgifes+mVtlB8+c4L7vXibCO5iPbnq61hXRjqdYeGlBNtl5Nv73dCi+ZecCPi0g3eaDpbn8sK6IEb30aFS4AhxJcgY2CgkcZb9TGpUzNU0QLkZGjo0Zb2RgtsgEereMMukNLdI3hLnXP8aWk3/z+h+LOJGTytz1XzC8TS/8DZc24a+HRuK+G3z59c8ixvSvGA1yOJr/jBAXnDhUck6cHD7MwKB3Q0nbUEzaRhMlGTbSN5pI32hiJ9D5IT8G/zcMgFkD7+S2NmMJb1WR7fDtntX8fmQL13YajMXuTNu12K3kFBXg2OXRbOYxu1hhAw2EDXT/3Wx/pw++cVq03gq3VLTK5ErZbXazzIaH0hi7LNq17NSvhRjCVPh29EDZQkYShcYngpsWyG52kLW3lODezrxY3w7aKiU2z6cx82W/2PkryXln8Nd7M73vDfW2XrVSjVJSoFIoa5VGJssyP6wr4qMfcrHawM9LQVa+HV/P5nmCv/lvE+t3mbhnnA9BZallfTrpWPOXiQBfFYueC3Pdc1OeiuaQ4V9T/YkMUYt7boQ6CfZTMbK3gWUbi3j18zxuShBXbGurX3QXvpnyGt/sXYVaoXILbLKL8/A3+Fz0OhUKiZF9DIzsU3GSKssyz36ci604nMFDHfheWvzUaGozcejAuSHog9R0edifLg/7I8sy+ccspG0sJm2DifSNxYQOqnhvMraa+HFwOr4dc5yjOoN0zM//iQxTNmHeQW7b/2zyDvSHffEo1mPM865Sfrol0gepXMULCpMtbqWry/ugculqwK3CncMms2LcKRw2mHyqnesiauq6IjK2lRA22EBIv/Pf3yMI1RFnKy2MrcTBrzcmk/pHMWOXR9FqRO1ztWvKl83eXwpcnnzZ5LwzAMwcfCtGbf19qbUNbMX8Sf8mxMsfg+b889DkFtp5/bNsth1wHnffeA9m3+mPj6cSq9V63tc2FXa77DY/zTerCtl33EyHKC0Thjl/jHrGebD01XBXu+pSziJD1LQTKQTCJXhwoi9HT1s4fNLCL3timDBO5gqbw7PO1EpVlRL1m5P28OhPbzG11zim9rrukkvlHzhhYcchM0pFAEUlzTe4AWeZ59HfUXXi0IjqJw6VJAmfdlp82mnpeLfzC7ByCnbOAedvYe5BM7kHzWz7+iRnn8gDFSw7sB4FEg5kkGHl6O9hNCitSia9/iCkeruVn27pyktXl59DlKeiVS5dLaklt/RBc56dwJ46ik5bMUZUfCkk/VTI3rnZdJ3l7wpuHHaZn0efxCtGw4C3Qlypg/U1P5EoXd2yiOCmBbEU2VkxLpnUtcWodBf3Ya+SL1vpyteaKc4Zoi9Hitr/jZzOhM7D6RgSc8nr2nn6EH56L2LKKg61Doi44Gu2Hyjhtc+zyS1woFbBAzf6Mn6wsdkUDcgvsvPG4hyOnLLw5YthqFXO/R47wEC7KA1d21aM4FU30Z+3UeFKUROpaEJ90KjLJ/hMJ7NAz/tL85l9Z+2qNQpVrT66HbPNykdblvLj/rU8Ovh2RnfoX+fvqPjWWl55wI9V6/YSUqk629lcG4G+ze8U4WImDq1O5fcx/n4/2tzkRdomE2kbitm1LweHyu563kGl38sydrWdUoMJjyI9Pz20iM0/hzJ/7CPotLXPnmiuPCM11WZ51FS6WhegYuLW1lWWB/XW0fY2b7c0uKLTVlJWF6PQmBgyL8y1fMsTGRxbkk+PJwLoPMOZPig7ZHIPm/GK1dRqwlJRurrlaX7fXEK1zPl2fhl7ivTNJtRGBdeuiCJsUO3Lf1bJl60mZ7khUtTsDge7Ug6RVZxHgMGHHhFxxIdW/bK7WLtSDvPg0jl4ag0suu15ws9JIajJ1v0l5BY4iAlT88w0f2LCmvYXXF6hnex8O60jnPtp1Cs4lGQmt9DBvuNmepRNKjqyr5GRtVhfsF9FippIRRPqS7Cfiicn+/Kvedms3FJC59ZFXNNfTPBZF/83cjoDYrry1rrPSSvI4slf/suSPb/zxLApdAyJrdM6e3bQknEiy/U4PcvGXS+mM6CLjsfv9MND07wuclzKxKHn8vBXETvei9jxXrQuUPP5fLXrXhsJCRkZHBIonD+aSqsSj2I92WEZZIefweRVyNGPCoh/IAClWmL+tp84nXeGGzoPo2tYu3rZx6bGI0B5SaWr293qQ7tbfdyWaX2VjPgsnNIcu1ugmnvETNFp94yKolQrX3VKRKGRuK+4I4qyi3xpG4sx59oJStC5pceJ0tUtjzhzaQFKc2z8POoUmTtK0PoouHZlNCF9Li6la+erZ90el+fJVs6XrcuX1PmsPrqd1/9YSEZRjmtZsNGP2cOnMqJd70tad4xfGBE+wYR6BhBwgdz0ysPa993gg5+Xkpuu8kTbxH/QN/9t4t8fZdGmlYYPn3QWXlAqJP55ux/Bfipiw+uW+xPspxJV0YR617ODln5t0tmSGMb63SZG92v+ZdQbgyRJjGjXh4Ex3flsx3Lmb/uJPalHuG3x09zbbwIPDrjJ1ba6i0e1qbi260gpVptMXpEdrbjJ2yXUK4Bld79DXkkhJ7JT+deK95xPKGSGfTke38wA1z03mlItIxfehMXDzKadGXSY7IfSR8maY9s5cOY47Qrb0X54LB5+KlLyMpi/7Se6h7dnXPyQWu+Pwy7XeYSqIVVOUauvNC+tt5L2d1YtSjJ8fjh5Ry14RlX83pnO2FB7KtCHqFyBDcDed7I58UMBA/8TStd/+FOYbCHvmIVdc9zPf0Tp6uZPBDfNXGmunR+HnST771I8ApSMWxVNYLfz31NSnYhhBk58X0CHqT6EDzNWmy9bnx/01Ue389iyt6sMEGUU5fDYsrd5c9ysSwpwfPVe/O/mZzFodGhU1Z/ky7LM8k1FbP67hJcfCESpkNBqFNxxTdPLjz6TbWPjHhPtIjV0bescjekYU5HmUGpxuK6u9u8ibsAUmqZesRn06xXHNf29RGBziTzUGu7tN4Hx8UOYu+FLVhzaTIegaNfzl3LxaOwAI+0jNWg0kqufrDaZ7QdL6N9Zd0X3XahXQLUln30zAwhIDXU91pR6EH2gPQB+8Vq0Ps4Lg/f1m8B3b+zg9Eta5ucfxjNaTcrVh/i+3R8cSkzmqoD+GEKcv1mf7/gFjUKFzVZaZXvHv8+vcm9RUypiUFOKWn3TBajQBbifygb30jM9Pw5roftEpN5tNAR098CvU+1KVyPBsE/CXPdjWQrsZPxVgmeUGp82LT/NsDkTwU0zp/FS4BevpSTTxrjV0fh3uvDNpXlHzWx/LpP4+/0IG+xMXYu725dWozzxjtVwdpf7LM815cvWld3h4PU/FlZbrbPc62sXMaxNwkXN67Dm2HY8VBoGxHQDnAFOTfKL7Lz1RQ6b9jqPdc1fJrcKQk3N92sL+e6PQkb00ruCG19PJd+8Eo6fd/MvSy1cGSQJRvXVuxW7qK8bgq9UwZ7+zBn7MHf1HkfbAOfZ5Oqj2/nnsrertM28iItHbVq5X8j6YV0hH36fx7Ceep69u+Hmc2kufHSeaJTOFLXyVLQqyspPT9rTxrVoSOue2G0hpPoXUZBvpfCkFdtyT7p17Y8xz5slzyUyLbMDAB9v/Z6C0mKmG8e4Ch0cPXuKP37ZT9aTBnwz3PuhONV2RRUxOB9JktB4uf829n+9YmqJs7tKLli6GhkslQKkrD2lLBtxEu82Gu441jJTClsKEdw0cwqlxIhFERSnWWs9qrJ3bjbHvsqnONXKDeudOdpKjQLvWOfrLzVf9kIW71zhdjXxXDKQUZjNrpRD9IrsVKt17ko5xOPL5qJUKFl8+0u0D4qqse3uI6XMWZRNVp4dlRLuGe/DiF5NZ7Tjy5X5rNlh4tm7A4gOdV7BG9JDT+JpC907uAevIrARmiurTeaDpbn4eSm5bZQX+xLNZOfb8fdW0rmNttqCF0LN2gU6v/PsDgevrllQbRsZ573vdbl4JMvO4hAJHcVkrFCRorbvl3R2zyjAmH9OMFGp/PS5qWLD/+cs3GDOs5O1p4Szu0I4u7sdZ5NL8eylRpIkzDYLE7uMYM23+3HM68pn/0oksIeOrQPXscL4G22HdmbY1+Nd60zsth/fjEB8MwLZ9MgZYsZ7NYkUtaaq8nkOVJ+Kr9A4s1rK2a0yvnFavFuLVLWmTgQ3zVBeopkDH+bQ7zXnl6ZCJZ03sClOs6JQS+gCnd3d8+lATGdsJPxf9RWL6jtfNrMohyBjxU0cP+5bV6vXZRXn1XobnUPbMrh1DwwaHW0CWlXbxmaXWbg8n69+L0CWISJIxTPTAhq11LEsy6Rl2QgPrEid23fcTFKalY27TUSHOn8wO8VqefvR4MbaTUGod9v2l/DT+iLAOTKZX1RxhTTQR8mMm3wZ3L3pXHRoLnalHOJscW6Nz9fl4hHApKu9GJ6gx7/SBZUDJ8wcTbYwbpDRbTTuShHqFUDorQG01lZNEaup/HRlWh8l4UONbsUP5LIJVbUqDTN6TSJ4ZgLZUinmXAcpa4ox5WkI7xlN6ImKnK9SvYk/bv8RgCnPPkbRaQXpG4spic/FITuI9Y9ApRAXwiqrTenqc89/Wl1l5LaDbRtrl4WLIIKbJsxhl0ldV+R2s2DeUTM/XXUSU7oNtVFB7+fOf8K7/6McNj2STsd7fF2zLhvD1Vzz/fmTYS8lX9Zis7I79TAbT+xhU9JuTuaks+aBea5J5wa17saJnJQLrudChQAqUytVvHHdIygkRY1XI99cnMPv24oBGDPAwIyJvui0jVc0IKfAzozXz5Bb6OCH18LRlZWsnHiVF8N66ukn7p0RWrCB3fT06KBl12GzW2ADcDbPznOfZPHc9AAR4Fyk2l4UKm+XUZjD0r2rKTXlYrKU4n2eSYgql4a2O2Te/TqHY6et5BXaues6n0vY6+btUstPVyZVGrFU6RTcuD2aX35aQZ/I4eTusxLxtYF2H3d1e41ZX0rYsWgsHma0pc6RtTVTU/nj1h/Z7b+bW7zG8cDQG/Fpp8Vqt3EyJ40Y//A6BTxNtYhBXVxs6Wqh+RDBTRP2XbeTONIrUgB0wUrsJTKWAgf+nbXEP+B/wXX4tNVgL5XJOWBGdshuX5z1Kas4j3WJO9iUtIdtp/ZjslbcAKmUFBzMSGJQbHcAZg66jZWH/iSzKKfa+24kIMjTnx4Rcefd5rd7V1NiNTM5YSzgDHDO5+YRnuw8XMrDN1/+K8J2u8zeRDMlZgcDyoIWX08FCoWEQoLjqVbiWztvUOzZQaR9CC2f3SGTfMZ23jbvf5fLgK46kaJ2EWp7Uai83V+nD/DR1u8BWPzhetoFRdEtrD3dwtvRPbw9wZ41/86MGWDkm9WFXD/U81J3u9mrz/LT55LUENDdg9Denni31pCyqtjtee8sP679+A63ZYWnrBQfd6DWa8mbr2fn1rNc9WkERzJPcfsXT+Nr8+U9n5fxaa/Bt4OWEs8ifPXe501VbOpFDOqqoVPxhctPBDdNWHG6jcrXDkoynJOHecWouX5tDB7+7t1nKbLz97vZeEZqaH+HDwARw41M2BxLSL/6rXBjtduw2m2u2bG3nPybF1f9z/W8v96bATHdGBTbnb5RnfHyqMhbVSoUzB4+lceWvV15rlCgYi602cOmnPdLdl96Ii+Vba9TcCw9W1UNhIpKHOw9WsqArs5gIjZcwxcvhKFphNKmG/eYeGF+NhFBKle1IUmSeOn+AEIDVM1uHglBuFT7Es1k5dnP2+Zsrp19iWa6tRMBf231iIgj2OhX64tHwUY/RrXrx9YTe8m3mTiUkcShjCS+2r0SgP/c8DhDW/cEwGQpRavSoFQoUCokxg/25NqBRrfgc97SXDQqidtGeblGo4X6EzrIgCFCRXGqrdr56JBAH6xiyAeh9Eu8h5zDJeT6WQjq6TybyCjKRqf0wHjYj/Xz01wv+2nmAnJCMrkreSpjrulFzHVeWO02VzbE8e/zWTnxdJVttoQiBg1RulpoXCK4aYbsFhmNT9UrC0cW5bHt6UyMESpaT/Ryzcwb2r9+Rikyi3LYnLSXTSd2s/XUPu7tN4Epva4DoH90V7qGtWVgTHcGxXanfVAUCqnmH7YR7Xrz5rhZVUqVBnn6M3vYlAtW8okPac30vjdgtdvoEdGhyvP7j5t5eUEWZ/Ps/PefwcSVlU2+HIHNnqOl/PpnEf266Bnaw/ne9+6kI8BHSefWWixWGa3GuR9NfZJQQWgo2fnnD2zKfbu6gPQsG/GttUQEqURltQu42ItHvSI70S20HStWrKDnoL7szzzOntSj7Ek7wtHMU8SHVEyq/NmOX/hsx3I6h7ahe3h7uoW3p3NoGwwa54lzaqaVpX8U4pAhIc6DriIorXcKpcSg/4Q6A40aOnjw+6HE3lB9oHFV2970vL4L29NSsIxVk3fETH6SmXyfXKwqK3nfqsgOLyXmOi9WH93G8ys/pt3fnem/5BrXtmRkpPKNlVWpaMgiBpcjFe5yla4WLg8R3DRDxak20jcWE9JfT2m2HUNZRa24u305/l0Bcff4oqiHk3i7w8Hf6cfYdGI3G5P2cCTzpNvzu1OPuIIbf4M3n9324kWtf0S73gxrk3BRk8yVl42VJIkZA24GcDvZsdtlvvitgM9+ycchQ6i/koY+FyopdaDVSCjKrl7uPWZm1XYTRSWyK7jReyj4+uUwcWImCGX8a1npb8v+Urbsd6a5+hgVdGqtpXPZvzatNKhV4jN1rrpePAr29CPCL5jRHfoDzpGa8tF5gMOZSRRbSth6ah9bT+0DQCFJtA2MoltYOx4aOInnpgfwd6LZLbAxlTrQi1GcetN6gjejv6NORQwAfGI8GPlGRXlqu9nBTcfe49C+ZHSP+tBqhDO97nDmSUrsZqx5uKqKycgsefJ9jHleDPvqeoz5XiBD0WkrScsKsBXLeEar8YrWoA9VXXIQ0lJT4YSGJYKbZip1XTF/TEvFq7WG8atiAFB5KLh+bcwlrddss6BVOUcTrHYb93/7MqU2CwASEh1DYhkU042Bsd3pGBx7aQeB8ypjbSv2fPjnUlLzM3h+9P0oJEWVQOFMto05C7PZd9w5u/CI3npmTvLDoGu4H9U5C7NYv7uEdx4Jco0ODe2hp6jEwZBz7usRgY0gVOjcRkugj5Kz50lN8/dWMrKPngMnLBw6aSavyMHmvSVsLpufatwgI4/c6qzEaLfLlFrkBv28Nyd1uXh0rsqBDcBb42aRmHWaPalH2JN2hD2pR0gryOJI5klO555h9vApDOymZGA3Pd/uXY3NbqNDYHvmzNPQK86DByb6YhT9Uy/qs4iBUqsgKF5PULx7FsQ/Bt3K6KiBJBYUkvyjc1mRTz6F/nkU+RS4ze3z9+CtrD30Fa2+7UybPfEAKFRgjFTjGaXBM0pN3DRfwgY5U9TtVmewpKzmQmx6QRZ5JYXkr4edtxS3yFQ4oWGJ4KaZ8umgoSjFhtUkU3zG6prR+GLZHQ4OZBxn04k9bDqxG4vdxndTXwecM2Bf1a43doeDgTHd6B/dFX9D43yRHM9K4eMtS7HLDka27+cqTlBu/S4Tb36RTXGJjN5D4pFb/BjRu34n5cwrtLMv0X2maJsDLFaZnYdLXcFNVKiaGRN963XbgtDSKBUSM27y5blPsmpsU7n4h8Uqc+y0hX3Hzewv+9cptmKW8KPJFh5+M4PYcLXb6E7lCl9Xmou5eFTb9bUPiqJ9UBSTuo8EnNXW9qQeIbekwK361mc7lpOcewZNURc88+5g9e4z6KLW0jOyHV3C2rpS2QAycmzkFznwNioI9rty++tiNWQRA3D2d1x0FF7Di0h+8SQAhnwvJr55LwUBuahsFX2VHpPMKc1xWnfvgFe+mqLTVkpUpfx09ecEpoTSZ9FVRIyo2NfTq4pYcd0pDBFqPKOcIz2eUWrMkYXMKngOq2xDaVMxyfsBjHnnnHe0kFQ4oeGIb5HmpmzG4zY3+eDhpyJ0gAG14eKuhOWVFPLnyb1sStrDn0l7yS0pdHv+bFEugUbnyfkrYx6qt12/FK0DInhl7ENkFOZUCWzAmb9fXCLTMUbDv+4KICygfv+0s/PtTHo6FYB7hlT8gN8x2ovbRnoRG1634FIQrmSDu+t5bnoA73+b6zaCE+irZMZE96qGGrVEp1itM6C5GhwOGUelK7qJKRYcMiSmWElMsbrm0An2c97rdtMIL9q2Eve41bdgTz9GdejntswhOxjXaQi7Uw7zd/ox8lXvg6zkk+0n+GQ7tPZvxctDXyIuRktGjo3Jz6VhtYFGBYueCxMBThNTuYiBQlbglxGEX0ZQRQMJhu0eScys4XS/uz1RvqE47DIbdu9l0bpT2NsX07fvbQT3cga0C7f/zNFjGegCY5GTgyhKtpK+0QRAVng61kecKWh2lY1Sg6lqcAOuVLhTvxYSPdazXjMjRCpc8ye+QZobuWLG48iRtSu/6ZAdSEiuD/9b6xaz7MB61/OeWj39orowIKYbA2K6ugKbxibLMqU2Czq18+pseR54OatNduXb3zDUiFEnMbyXAdUlXl3Jzrfzx45iFBLcONwLcKbHxIarQZYpKq04QRIFAQTh0gzurmdAVx37Es1k59vx91bSuY32guWfFQqJypd1rhvkSf8uevYfN7tGdxJPW8jIsZORY+K6QRVXjfceK+XACTPxrbV0iNI2SgXFlkwhKZje9wbAmR1wIjuF3alH2JMWxp7Uo0Qo+jPjjQwGddNx89UGrGXnkBYbLNmxkau7RNEuKKpW87DYHY5LSr0TLqw2RQzG/bszrbt4u70mPi6a57T3IcsyCV0qgqFlB9Zz3JrC6z8/SldbLIWnLGw7eYB1pq1oct1TIXODnCO7HsX6aoOcFdclM3JJK9pOcj6Xsd3Ekc/y0Ieq0Ieo0IeqMYSq0Ieq0AVe+B6gllwV7koigpsmzBCqwpFe8VjtqWDwe7W7clBQWsyWk3+zKWkPm5P28N6EJ+gY4rxHZlBsdw5nJjlLNcd0p0tY2wvOEXO5OWQHc1Yv4MjZk8yb+C+3FAaHQ+ab1YX8trWI92eHoPdw3n8zsm/dh+cdDtlVECAxxcK8pXn4eyu5Yaina/l/ZgWjUthZsaLk0g5OEAQ3SoVUL+We/b2VDOmhZ0hZIQ9TqYNDJy3sSyylfVRFCtu6XSbXyI5aBe0iNXRurSW+tXNkyNso5rmoL0qFgraBkbQNjOTmblcD8NXveRyUCtBpJXafcE9LXLx5O4v+Wo5WayU+MpAbOg9jTNzAate9+uj2KkUTgo1+zB4+9YIVN4WLU5ciBgEGH27oPKzK8skJ17L/TCI9O7YnwKBH7mTi7f99gF1lBy9nkQqHLCM5JNbe9hMACpuSW157EGOeNwW+ueSEZeKV7YvfmSD0IRXnL2d3lrDv/Zwq2wSQFDB6aSSx1zsvWp7dVcLx7wucwU+ICl2Qig0z0qsvsX0ZUuGE+tO0zmgFN61/slB00Ia+wEhcx0haDfWs8QMlyzJHzyazKWkPm5J2szf1KHa5YtbvTUl7XMHN1e36MLJ938tyDHWVXpDFyiN/Ulhq4q/TB13zLJzNs/Hqomx2H3EWDVi1rZjxQ+o+gdxvW4v4dnUhYwYYmTDMuZ7u7Tzo08mDXh112OxQPgWNTqvAaq1d+VpBEBqf3kNBzw4eVSbG7dxaS26BnX3HzeQWODhwwsKBExZY5UzR/W5OOH5l1dxKSh14aCVREKQeDU8wsnB5Ab9vM8E2kCSQZQAZz7O3AiBLVnbY3iDY5sDTbCKhgweFtjw+2fID3cLbU2wp4ZXV86uch2YW5fDYsrd5c9wsEeDUs/oqYnB956Fc33mo63FeSSF2R8Vvq0Muq8ymqOhdh8ruSlE73eE4myespE1iHF++8Yxr2oubFz1BkaOUe565C5+0AIrTbSSVnuag5yG8EgOIOtgODz/n5zrXVEDKlhJ2vny29jtelgq35akMQgfo8fBXUqo0X9SxC5eHCG6asNc//JqzcRkABB/zY3Yr96tR5WWRAXanHuauJc+7vT7WP4JBMd0YENuNHuEVVVCa2o90eWUUH50noV4B2B0yZzO8uLvjLErIZFBMDwA27zXxxuIcCoodeGgkHrrJl2v6175ogCzLHDttJTZc7UpdKyh2cCLNyqa9Jldwo1FLzJkRdL5VCYLQjA1PMDA8wYAsy6Rl2SpS2RLNWGyyK7ABePHTLI6dthJfVqAgvrWW1uFqlOLKbZ3lFzlcqWhQHthAxUw8IMlq7km4nZ9+iuLPTVl8+WIYu88e5pu9q/hpQxH6vKvQGcdi8v/F9RqP/AHIkg2rYS+vr13EsDYJIEsoFE3vd6+5aogiBj46TzRKNRa71bmN8pEbJOSy8FVpVbqqs2lLPQhMDqNbQjRaz4rPanLeGUqsZhJmhRDpGwLA17uPMn/NHwy/qzdT+1yH1tfZ/tbP/0V6SRb/fOQRApPDMKVb2V96lL877CAoOYL4zb1c681slYrCrsTnrD8qq5o9b2Sx5w3ncyUU1et7IdQPEdw0YWdiUlDivFG9/GrUY8MmY7Pb2ZS0h/ZBUTw+bDIAnUPbEmjwpWNILANjujEwphth3oGNufu1kl6Qxbj5j2KxW9Eo1TzUfTYrfvcru7nYE/Bk7eo0okPV7DjkrFTWppWaZ6YFEBl8cTfxP/RGBodOWnj94UAS4pxpbkN76vEyKOjXWXeBVwuC0NJIkkR4oJrwQDWjytJaSy0VI96yLHMk2UJugYP1u0ys3+W86VmnlegYo6VnBw9uGenVKPvenHkbFWhUzntsABQSOOTKIzjO4gLjO/cl7Vge+UV2vI0Kom2h3NFzDGs26rDYvZDkSqcwMuizxyKhIld3hIzCbK75+CGMRUPJT+pNaFQq/fqn4qf3wk/vTeLBGLx1Oq4bZHSlIZaUOrA7wKATI3WXU6hXAMvufoe8kkJOZKfyrxXvAc45dWYGTuPsf1SQpHXdc9MtqzsPDb2mSircF7e/TH5pISGe/q5lUX6hjI8fSqfgWNecgACF5mIAhv5ftCsQOvvNARKTD2BT292Cm9V3LqXIt4Dr372LoNPhBPfx4GjoYf5ov5rAwyHwU8O8L0LdieCmmSi/sPXG2s9cy9ILzvLY0DuRJAm1UsVv973f7G6kzCspdF2tsditvLP1P3gXPYQSP1ebrDw7WWWVlG4e4cm063zOewOw3S7zd6KZw6cs3FrpxKN1hIakNCvpWRWXDAN9VK6TGkEQBA9NxXeoJEl8+UIYh09ZXKM7B06YKS5xln+3O2S34OaLlfm0ClYTH6t1G/05H7tDvuhiCs1dsJ+KRc+FkV/kIPmMlVcWZgPOwOZfU/2JDFG7ykK//EDFRbq44BjigmNo7b2Fl379D7Ki8v2PSsyeu1DYjTiUzqvpGUU5FOQUo5cVnMhJZt/WsrNQGYJOvYbdYeHqPgbW71/POxu+RF8wiJLkwfiFniah/7GyQMiLY3s74qnTcdtIL7w9JRSSREGxg0KTAz8vZYNPUOqQHexIOUReaWGLLZoQ6hVAqFdAleX9Rrel/R3RtUqFax0QUWVZ36jO9I3qXGX5xofnU2Q2YdBUVGQcMrgLB+7NQpvkfsFCV2jErnTgYdJjbKVmwubWfPP3cb5ec4Z2NweK4KYJEsFNMxQf0pprOw5iYGw3t6tLzenLrjwV7UR2qttyWVmMRXcIjakjSrt71TZvo4Lp1/tc8Ic/v9jBY+9mIsswrKeeEH/nn/ld13nz4EQft5MXQRCE89FqFHRt60HXts77dhwOmZPpVvYdN+NTqfBAfpGd+cvyXY/DA1UVqWxttLQKUlUZDdiw21S1DLaPkhk3uZfBbomC/VQE+1VdHhmipl3k+atQtgrwwq51/+1AslMc+J3botnDpuDn4UtaTiIFFj0l8khyTPlkFxUSF6FAsunx9VRytjiPHFM+JQVm9EBqcTLHdq90rsQVCNm4+SpPlh3YwMur5+NTfBWOtKvwDDpJfO99rhGhIzt74Onhwb03+OBpcI4CFhQqyMy1E+ynvOh5l/5I/Iu3Ty6jILEikKvPoglNZY6h8qp3iVmnUSmU2Bx2NEo1PjrPBkmFU0gKvDzc1xkXEs0jU2+sUhXuhv9Oc2VMDvzYWa12WJtetPIJxlFiYx7P1Ou+CZdOBDfN0B09x3BN3IBG3QdZlrE57G5V1tLyz5Kck4Ve5Y2POpDiUgf5xWZ+P/4HxWYzfYNGc8MQb9ILsrj2fzOxuW4gLPsWkSWQZEyBP2Fy/ILP6cfdApz8Igf7Es1uVZWOp1j4ZnUBBp2Cf0xy/lL6eSkZ0EWHUa/AXmkiDF9PUQFJEIRLo1BIxIZriA13PwG32mTGDzay77iZpDQrqWdtpJ618dtWZ/rL+MFGZt7i/I5yOGTW7zbx4vzsKus/m2fnuU+yeG56QIsPcOwOmdRMK0ol2O3OynXexgtffOoREUew0Y/MopxqC1tJQJCnP7d0H1Wri343dR3BoNhu5JgKyCxIJrvIlyLb9eSYCsguKqBjeyUKhxEfTyU5pgKsdhuFpaXopFIyS1NYfnCjc0UyBJ7qisNh4t7rfVhxaBPP//4xXoXDUZ8djS4gkdbdd+Kn98JH58WeDf1QouX20V707AQWu4XiQh2pmQ7CAlUcL9rD7F/erbK/9VU0ISPHxpTn0rBc5jmGzh2tzJT38ubaRW5V7/x0Xjw44OZqR3MaUm2rwgV7+hHs6Ud2dtXPsND4RHBTCx988AFvvPEG6enpdOrUiblz5zJo0KAa269fv55Zs2Zx4MABwsLCmD17Nvfff3+97U+AwadW7ewOBwWlRVjsNoI9Ky6RHcpIIiUvg7aBkUT5hmKxyqTnF/D5jp8x2xzc2ukW18zfC7Yv4/vdW2mnH0i0ti+mUpkcUx6/FT2LLMv0tb/NR0+GArBox3KW7P4NXe5V6HNHASBLZnJilgCwfV1Pxg3yIq+ksFJgA67LI1KlnymFDVlZDOeM3qRn2WgT4cCod/5gmUodrNpuwqCTeOBGX9e8Ny/c1/TvNxIEoeUI8FG5gpcik4MDSc4CBftPmDl00uI2GnE02VJtYFPZ+9/lMqCrrsWmqFU3auWpV3DklOWCJ9hKhYLZw6fy2LK3a5p2hdnDptQ6m8HLw4CXR+2K09zZcwxj4gaQY8on11RAdnE4uSW3O0eEigvonKBCYffEx1PpmiDb7ChBocomx3qalOM7nSuSJfzS+iNh5aVPs1EH/8UZw7d45A3GkHMtKr9D5Ph/7tqud8pMAAqDP8ehdgYBL/78E/taG4gIUtAuWolGqUar0hBs9MOgdd5Hanc4XO/ZufKLHK77niw25+PqRtPq07n9btbvoyj488q1JADILSng5dX/w1fvddmr3tVXVTih8Yjg5gK+/vprHnnkET744AMGDBjARx99xDXXXMPBgweJjIys0j4pKYkxY8Ywffp0Fi9ezObNm3nwwQcJDAzkxhtvvLSdkUEpe/HDvnX8engLswZNw6hzfmG9umYhq47sYGTkeOJ9+2EqdZCcl8pnSc+jkQzcFvYGj97q/Nb6fOcv/HJwE36F16LKHozdAXZlHnlRv4CsZM/a4Sx/uxVQNhpTeIKzybHsznXmMTskG3KMAyQ4mlyC3SGjVEgEGX0xKAJB9sBTr0DnIaH30KOkB1qllp7ddNhsMj46T9QKFVaH81vVVRGlbOTGuREVkr3qj807X+WQnW/njmucV086xWq5bZQXvTt5oBTZZoIgNAFGvYI+nXT06eQ8wbTaZByVRpHX/FV8wXWczbWzL9FMfpGDd77KQaOWnP9Uzv9qyx7fOtKLHmWlro+nWPj1z6KKtpXaadUSnWK1hAc5b6ouKnGQkmFFo5ZQSHYKS9XkFzkw6B1o1FKDBlUbdpt47pOsKstzChy1HrUa0a43b46bVWWemyBPf2YPm9JgJ8QalbrG+0PONa33OCZ1u5ocUwG5JQXkmDqx9XAQP/15BllRhENRhNLhrNJZUFoCeglZWYxVewqTfAqrvSzykCWUlhAklMhSxWhCaW44P//uidm4m6Kgr1zLY87OQaPU8NbMIPZkbeGZXz9Aa4lCW9oepT4TlT4PDZ4oLEHAKNfrNh5K5u31G9B52PH0tKNVqtGo1GhVajRKNUPbJNAhKBpwjh7tTDmMVul8Xq2saKdRqgk0+roCRofsQJZh895St36XcWAKWFbte1c2rYyr6t3lTrtviFQ44fIRwc0FvP3229x9993cc889AMydO5fffvuNefPmMWfOnCrtP/zwQyIjI5k7dy4AcXFx7NixgzfffLPuwY0MyEpARpMzhF8O/YxkN7B/7WgW/F8YHlqJ/NJCskxZ/Lg5g9/ynV/0dqUFosBqc7BmexF3XOOFr6eS1v4R+EqtsZQYkcoKAykcOoxFg9AqtXh7SiSfcV49m9BlOMridpTk++OpNOBpUBDk541dehNvgwe2/lqOnLIQGaLm7j7XMyVhvDOwOmNDp5VoHaEBZgNw7LSFg0kWYsJ8+fmeueSVFHIg7TQvrvnAuROSjDHzFpSWICS7oco9N3oPMJXCkVMW1zKFQuKe8T51e18FQRAuA+eIckWw0CH6/PeUlMvOt2O1yRQUO2psM3ZAxUWglEwb36+ruTTtY7f7uYKbgyfMPPl+5Tk+4vl0fYbr0UM3+brK4x85ZeblBdloNe7BlboscBrRy+CqOJmVZ+PXP4tRVwqsNCrJ9drwQCXvf5t73uP+7ze5xEVrMOoU6Mpu1rc7ZIpLHEiS5HwnJejXKoGlk3uwN+0wuaV5hHj50iMiDoUkYbHKSJKzAlt5e4myx5epEpokSRi1eoxaPZG+IdgdMh9+moY+r1OVtrr8wXjkD8TPz8yr/zLw+5F0Pt5a8Xx++Hso7EZkZUX/OlS5KLwS8fYuxMc7CLPdisVqpbBIgSzb0WklV4AkmaJQ54zArN+HVNKBUrm8cpgzjJAk+OInDTACGTuyZMFi3Od2H9P637uisKcyZ0YQScVJPLn8XTTFndDlXo3V4wCmgJ9dbXvzDEZlIDNv8SPTepTp37yIytQanW4wdk0mpd6bkJGRVQXockajsHlR6rMOuyYTAKUlBI+CPuTn5XDvty8SaPBFoVDgVzIUP00EI3ob0OoL+N/WHzGX6MlMDcbDw0pkzFkUCgUKScJo7kqwLpLu7T0wGEr57u81WMwqMtK90GplIiOLUUrOtjpbNCH6VkSHqfE0OFhzbDs2m4LsbA0atURosB2l5JwwXCcHEmIMxc9LeU4WitBUiODmPCwWCzt37uTJJ590Wz5y5Ej+/PPPal+zZcsWRo4c6bZs1KhRzJ8/H6vVilpdtXyx2WzGbK6YCKqgoMDteXVxZ7wy78SuzEWStUiSHcnhQVahg+v+mcL8pwOZljAO6Ww/jhcaOQsE+ijo1TEMncd/MeqUfJtRzKR/pfHB4wFM7jGWqyJGsWFPCQt/KaJHew0v3x+CQnEvAHe9mMnUF87w9kx/OsVG8M+xEazfXcIrC/Po0kbDtGv9AedVtftfO0tSmo1XHvCjZwdnKtvfx0r5v49zaddKzX8fq7i6NferbA6dtPLvu33p38WbAJ03B06Y3I5VaQlCZala8QTAbIGX7vcloYMWq9VabZuGVr7dxtq+UDPRN02b6J8K3rWcnsvbINOmlZpPngrAYgOzVcZqlbFYZef/26BNhML1nob6wy1XG7BYwWKVsdicbZ3twd+74v13OOwE+Spd6zJb7DjkiqvjCsnuaptbYCUl01Z1B8u0jVCS0MF5OpF21sKC5fk1tr26t4dbKlp1svPtTHo6jUkjDEy7zlm5KjXTxrQaJ1z04vrBIYy+0RuH3c7ZfDu3/V9mjesf1UfHrNt8ACgucXDTvzLcgyDX/0sM7ubBY7c729rtMjc9nVE1WCp7kBCnZfYdPq7tTHkhE5tdLmsnYbXJ5BbWHKhKKMjN0fH022DVBZf/zIIkY9emcu67ZjHuw0s5EKN5GKQOAyA8UMlD/+dDXpEdo4eDzWvb06noeUodUOphRifFUiKr3bYKlecaAgklkqxDZ4vEYBmOLNlQq20UFWooLrFjtlj5YbUFo70NCmsUKksYKE1oHP7I2JAlG5lndRwvMlNYbOGrdc7RGoXdC01JHBZUOFQVfyOa4o6orCGYPXcCzn5TWP3xKBiAVXuSHac/cLVtkzec3JwC2rVSsvbgab5LW4Xa1BavMwOwadJYm73A1bZtQSdysnL411Qf/k5OZdHJr1CVRuGdNgO7Kou8yIr1ti16nJzMs8y61ZuUvBzmHXkPpTkUn9RHcSgLyI16qWIfih8hNwMevNGLrLyqI5BC4xPBzXlkZWVht9sJDg52Wx4cHMyZM2eqfc2ZM2eqbW+z2cjKyiI0NLTKa+bMmcPzzz9fZbln+l0o9HZUZmf6W/lIxg1RUUT5F7Jgow2LTcX69evxNZjp4wsehQGsO6vHW5tNW8+TzhXZQEEnJEnNxk2bOOLlrLqSnuaLShFJfm4mK1duc23XZmmPVqVh69Y/OXXYGXycyPRCp4mkuCCPFSsq2jrMrTF6eLBrx1YyTjhTLVJyjHjrIrGb81ixYnultlH4GXT8vTeRvBRnLvKpHDuSrHIOtdeQilbO7oADe7dwNqmkxjaXy6pVqxp7F4QaiL5p2kT/OOd0MWo7UWRWU+VmAwBkjB5WTh9dQ+qx869r5znn8MEKQFv27xxnjsOK4xWPbz0nc8shg92uwOaQsOU4WLHCecZbalUysbcHNrsCu0PC5lBUtHMoKMwoYsUK5/dyXrGG+IhgZzu7wtm2rJ3NLpGedhao3T2Rx48fZ8WKdAByi7VAxxrbnjx5khUrnBXUikrVQHyNbVNSTrNihfMCpdmqxO7oUkNLmVPJqa62dgcUl3Svth1A0sl0V1uAzJxuOOSLHyXKyncg50ehiPTGocyv6U8Ehd2b3PQo8iqFPaWmInZsdf5GJ+6HpNNx5Jkqz+Pm/ofhTAqXXP9120RJCPaU0QCotFbG9TiC3SGxd8cezp5qgzbvXldbVUkbPE8+AYBGZWdYl5NY7QoO7v6bnFOt8M39NzIOZyqeJQDvlH840+8Cf6LUZz2S3YhDXREoONRnMfmsxqHKR5vfH6XVHyQHYX5pRBp9OXrgECdP6NGVjkCyG7BpUnAoSvHIG+x8cyQZL20W3oESxw4e5UiaBq05AYXNC5s6A1lRgqaoa1lbByq5kABPA8cOH+d4jhK1uS2SzQeHsgCHwoSqNArnzDsOHJZStCobRw7vIy1XTOLZFEmyLFdXbEQA0tLSCA8P588//6Rfv36u5S+//DKff/45hw8frvKadu3acdddd/HUU0+5lm3evJmBAweSnp5OSEhIlddUN3LTqlUrBt29H5XG061toI+CRf8OQqmQMFucw+4qpTM9C3DldV/OofdLdaYgixMZ+bz4iRmH2RnAlU/mVnlSN7UKPn06iCC/xqt6ZrVaWbVqFVdffXW1o3BC4xF907SJ/nG3aW8JL36aV+Pzz07zYWDXyzO58OXsm73HzMx+L+eC7V5/yI+ubStOxGVZxuEoy9KWy8IJueL/lQpcBWUcDhlTqexqi+s1zsZqtYShLN3N4ZDJKXBUtC1rV/46D42ET1mlTVmWScm0l21bPuc1zsldy6ceAEhMsTq3KzvXd/S0lfe+dc/MqM6DN3rRJkLNjvSd/HfHBzW2e6jngySE9nRbptVItG1V0YdHTlmwWN1P83IL7RSXyGQXOPj814qT8yljjPh4KjDopCrVRZVKiU4xFemUiSlWikuqH4VSKCQ6t65oezzFyp5jZj7+sdCtnYyDvMg5NQdwgK+HL68OeQ2F5Oyvrm01rvOdk+lWcgtqHgnr3EaDqqwIQPIZK9n5NbftFKtxzZ+XkmnjbG7No4txMRo8NM62B45m0j0+gvz8fLy8xIS+TYUYuTmPgIAAlEpllVGazMzMKqMz5UJCQqptr1Kp8Pf3r/Y1Wq0Wrbaay2zVmHGTHx5a55dGSzk/aOUfSiv/UDo8a6vVpG5NgVqtFidoTZTom6ZN9I/TsAQ1SqWq6jw3vkpmTGyceW4uR99076Ai0Cf/vKlpgb5KuncwXFJRg1r+pAIQehHFNWOrz5quVlyM+3sZFyvz9ariCx77DcO8USokurUfTKtgFS/99gkFtkrz3FxE0YT4NjX359Fki1tw06+L8YJzDLmOJab2fycdYtS0jdLxwzqT27FLKNBnjXNWSyuvIOB6zumZkXfRt131QUPbyNrvQ+tWalq3ql3bmHA1MeG1a9sqxOPCjYTLrmmcKTZRGo2Gnj17smrVKm644QbX8lWrVjF+/PhqX9OvXz9+/vlnt2W///47CQkJl/Sj0Zg/eJfLpUzqJgiC0NwM7q5nQFed25wfndtoW2z5ZwClQmLGTb7VVksrN2Oib4t8D+py7MPb9MJ0JIOQrq3JKy0kwOBDj4i4eqke5m1UoFHhmuemNnMM1VVNx641dYaMOzEFLHO7D6ehq94JLZsIbi5g1qxZ3HnnnSQkJNCvXz8+/vhjkpOTXfPWPPXUU6SmpvLZZ58BcP/99/Pee+8xa9Yspk+fzpYtW5g/fz5fffXV+TZTrRfu9cUueV8RP3iVXc4vXEEQhMakVEhuExNfCQZ31/Pc9IAmNWp1udTl2BWSgoSIuHofVQv2U7HouTDyixyXJTOipmOP0HbjgZFDMAScIqs4r14DOOHKJIKbC5g0aRLZ2dm88MILpKenEx8fz4oVK4iKigIgPT2d5ORkV/uYmBhWrFjBo48+yvvvv09YWBjvvvtuncpAd26txd+/lmV1WpDL/YUrCIIgXF5X4qhVuaZ07DVlTDSU8x971RLZglAX4qyxFh588EEefPDBap9buHBhlWVDhgxh165dDbxXLdvl/sIVBEEQLq8rcdSqnDj2K/PYhctDjPkJgiAIgiAIgtAiiOBGEARBEARBEIQWQQQ3giAIgiAIgiC0CCK4EQRBEARBEAShRRDBjSAIgiAIgiAILYIIbgRBEARBEARBaBFEcCMIgiAIgiAIQosgghtBEARBEARBEFoEEdwIgiAIgiAIgtAiiOBGEARBEARBEIQWQdXYOyBUJcsyAIWFhajV6kbeG6Eyq9WKyWSioKBA9E0TI/qmaRP903SJvmm6RN80bYWFhUDFeZvQNIjgpgnKzs4GICYmppH3RBAEQRAEQTif7OxsvL29G3s3hDIiuGmC/Pz8AEhOThYfliamoKCAVq1acfr0aby8vBp7d4RKRN80baJ/mi7RN02X6JumLT8/n8jISNd5m9A0iOCmCVIonLdCeXt7iy+zJsrLy0v0TRMl+qZpE/3TdIm+abpE3zRt5edtQtMgekMQBEEQBEEQhBZBBDeCIAiCIAiCILQIIrhpgrRaLf/+97/RarWNvSvCOUTfNF2ib5o20T9Nl+ibpkv0TdMm+qdpkmRRv04QBEEQBEEQhBZAjNwIgiAIgiAIgtAiiOBGEARBEARBEIQWQQQ3giAIgiAIgiC0CCK4EQRBEARBEAShRRDBTQP44IMPiImJwcPDg549e7Jx48bztl+/fj09e/bEw8OD2NhYPvzwwyptli5dSseOHdFqtXTs2JEffvjhkrd7JWqMvpkzZw69evXC09OToKAgrr/+eo4cOVKvx9USNNbnptycOXOQJIlHHnnkUg+lRWqs/klNTeWOO+7A398fvV5Pt27d2LlzZ70dV0vQGH1js9l45plniImJQafTERsbywsvvIDD4ajXY2vu6rtvDhw4wI033kh0dDSSJDF37tx62e6VqjH6R5wTXAayUK+WLFkiq9Vq+ZNPPpEPHjwoz5w5UzYYDPKpU6eqbX/ixAlZr9fLM2fOlA8ePCh/8sknslqtlr/77jtXmz///FNWKpXyK6+8Ih86dEh+5ZVXZJVKJW/durXO270SNVbfjBo1Sl6wYIG8f/9+ec+ePfLYsWPlyMhIuaioqMGPublorL4pt337djk6Olru0qWLPHPmzIY6zGarsfonJydHjoqKkqdOnSpv27ZNTkpKklevXi0nJiY2+DE3F43VNy+99JLs7+8vL1++XE5KSpK//fZb2Wg0ynPnzm3wY24uGqJvtm/fLj/22GPyV199JYeEhMjvvPPOJW/3StVY/SPOCRqeCG7qWe/eveX777/fbVmHDh3kJ598str2s2fPljt06OC27L777pP79u3renzzzTfLo0ePdmszatQo+ZZbbqnzdq9EjdU358rMzJQBef369Rd7CC1WY/ZNYWGh3LZtW3nVqlXykCFDRHBTjcbqnyeeeEIeOHDgpe5+i9ZYfTN27Fh52rRpbm0mTJgg33HHHXU6jpaoIfqmsqioqGpPnsX5QO00Vv+cS5wT1D+RllaPLBYLO3fuZOTIkW7LR44cyZ9//lnta7Zs2VKl/ahRo9ixYwdWq/W8bcrXWZftXmkaq2+qk5+fD4Cfn99FH0dL1Nh9M2PGDMaOHcuIESMu9VBapMbsn2XLlpGQkMBNN91EUFAQ3bt355NPPqmPw2oRGrNvBg4cyJo1azh69CgAe/fuZdOmTYwZM+aSj6slaKi+aYjtXokaq3+qI84J6p8IbupRVlYWdrud4OBgt+XBwcGcOXOm2tecOXOm2vY2m42srKzztilfZ122e6VprL45lyzLzJo1i4EDBxIfH1/Xw2lRGrNvlixZwq5du5gzZ059HEqL1Jj9c+LECebNm0fbtm357bffuP/++/nHP/7BZ599Vh+H1uw1Zt888cQT3HrrrXTo0AG1Wk337t155JFHuPXWW+vj0Jq9huqbhtjulaix+udc4pygYagaewdaIkmS3B7Lslxl2YXan7u8Nuu82O1eiRqrb8o99NBD/P3332zatOmi9vtKcLn75vTp08ycOZPff/8dDw+PS9r3K0FjfHYcDgcJCQm88sorAHTv3p0DBw4wb948Jk+eXLcDaYEao2++/vprFi9ezJdffkmnTp3Ys2cPjzzyCGFhYUyZMqXOx9LSNETfNMR2r1SN1T/lxDlBwxDBTT0KCAhAqVRWifozMzOrRPvlQkJCqm2vUqnw9/c/b5vyddZlu1eaxuqbyh5++GGWLVvGhg0biIiIuJTDaVEaq2927txJZmYmPXv2dD1vt9vZsGED7733HmazGaVSecnH19w15mcnNDSUjh07urWJi4tj6dKldT6elqQx++bxxx/nySef5JZbbgGgc+fOnDp1ijlz5ojghobrm4bY7pWosfqnMnFO0HBEWlo90mg09OzZk1WrVrktX7VqFf3796/2Nf369avS/vfffychIQG1Wn3eNuXrrMt2rzSN1TfgvLLz0EMP8f333/PHH38QExNTH4fUYjRW31x11VXs27ePPXv2uP4lJCRw++23s2fPHhHYlGnMz86AAQOqlEg9evQoUVFRdT6elqQx+8ZkMqFQuJ9CKJVKUQq6TEP1TUNs90rUWP0D4pzgsrhspQuuEOWlBefPny8fPHhQfuSRR2SDwSCfPHlSlmVZfvLJJ+U777zT1b68tOCjjz4qHzx4UJ4/f36V0oKbN2+WlUql/Oqrr8qHDh2SX3311RpLQde0XaHx+uaBBx6Qvb295XXr1snp6emufyaT6fIdfBPXWH1zLlEtrXqN1T/bt2+XVSqV/PLLL8vHjh2Tv/jiC1mv18uLFy++fAffxDVW30yZMkUODw93lYL+/vvv5YCAAHn27NmX7+CbuIboG7PZLO/evVvevXu3HBoaKj/22GPy7t275WPHjtV6u4JTY/WPOCdoeCK4aQDvv/++HBUVJWs0GrlHjx5u5f2mTJkiDxkyxK39unXr5O7du8sajUaOjo6W582bV2Wd3377rdy+fXtZrVbLHTp0kJcuXXpR2xWcGqNvgGr/LViwoCEOsdlqrM9NZSK4qVlj9c/PP/8sx8fHy1qtVu7QoYP88ccf1/uxNXeN0TcFBQXyzJkz5cjISNnDw0OOjY2Vn376adlsNjfIMTZX9d03SUlJ1f6enLsecT5QO43RP+KcoOFJslx2N5QgCIIgCIIgCEIzJu65EQRBEARBEAShRRDBjSAIgiAIgiAILYIIbgRBEARBEARBaBFEcCMIgiAIgiAIQosgghtBEARBEARBEFoEEdwIgiAIgiAIgtAiiOBGEARBEARBEIQWQQQ3giAIgiAIgiC0CCK4EQThiiFJEj/++ON520ydOpXrr7++1us8efIkkiSxZ8+eS9q35upi3y/h0kydOhVJkmr1t3yx1q1b51q36FNBEJorEdwIgtAs1eWkOj09nWuuuQaoOSj5z3/+w8KFC+tnJ8sMHTqURx55pMryhQsX4uPjU6/butwu9f2qfLJe+V9iYmL97WQLM3r0aLe/Zag5cL+Yz0n//v1JT0/n5ptvrqc9FQRBuPxUjb0DgiAIl0tISMgF23h7e1+GPak/FosFjUbTaNuvj/dr9OjRLFiwwG1ZYGBglXaNfaxNhVarrdXf8sXSaDSEhISg0+kwm831vn5BEITLQYzcCILQIgwdOpR//OMfzJ49Gz8/P0JCQnjuuefc2lS+uh0TEwNA9+7dkSSJoUOHAlWvdK9cuZKBAwfi4+ODv78/1157LcePH2+QYzh+/Djjx48nODgYo9FIr169WL16tVub6OhoXnrpJaZOnYq3tzfTp093jQAtX76c9u3bo9frmThxIsXFxSxatIjo6Gh8fX15+OGHsdvtrnXl5uYyefJkfH190ev1XHPNNRw7dsz1fPl6f/vtN+Li4jAaja5Rg3Lnvl8Oh4PXXnuNNm3aoNVqiYyM5OWXXz7vcZefrFf+p1QqGTp0KA899BCzZs0iICCAq6++GoCDBw8yZswYjEYjwcHB3HnnnWRlZbnWV1xczOTJkzEajYSGhvLWW29VGT2rbqTDx8fHbRQqNTWVSZMm4evri7+/P+PHj+fkyZNVjv3NN98kNDQUf39/ZsyYgdVqdbUxm83Mnj2bVq1aodVqadu2LfPnz0eWZdq0acObb77ptg/79+9HoVA0yN9Y+Wjluf/K//YFQRBaAhHcCILQYixatAiDwcC2bdt4/fXXeeGFF1i1alW1bbdv3w7A6tWrSU9P5/vvv6+2XXFxMbNmzeKvv/5izZo1KBQKbrjhBhwOR73vf1FREWPGjGH16tXs3r2bUaNGcd1115GcnOzW7o033iA+Pp6dO3fy7LPPAmAymXj33XdZsmQJK1euZN26dUyYMIEVK1awYsUKPv/8cz7++GO+++4713qmTp3Kjh07WLZsGVu2bEGWZcaMGeN2cm4ymXjzzTf5/PPP2bBhA8nJyTz22GM1HsNTTz3Fa6+9xrPPPsvBgwf58ssvCQ4OrvN7smjRIlQqFZs3b+ajjz4iPT2dIUOG0K1bN3bs2MHKlSvJyMhwS6V6/PHHWbt2LT/88AO///4769atY+fOnRe1XZPJxLBhwzAajWzYsIFNmza5gjuLxeJqt3btWo4fP87atWtZtGgRCxcudAuQJk+ezJIlS3j33Xc5dOgQH374IUajEUmSmDZtWpURq08//ZRBgwbRunXrur1h59GqVSvS09Nd/3bv3o2/vz+DBw+u920JgiA0GlkQBKEZmjJlijx+/HjX4yFDhsgDBw50a9OrVy/5iSeecD0G5B9++EGWZVlOSkqSAXn37t3nXe+5MjMzZUDet2/feddT2ZAhQ2S1Wi0bDAa3f1qtVvb29j7vcXbs2FH+73//63ocFRUlX3/99W5tFixYIANyYmKia9l9990n6/V6ubCw0LVs1KhR8n333SfLsiwfPXpUBuTNmze7ns/KypJ1Op38zTff1Lje999/Xw4ODnY9rvx+FRQUyFqtVv7kk0/Oe0yVTZkyRVYqlW7vy8SJE2VZdr5v3bp1c2v/7LPPyiNHjnRbdvr0aRmQjxw5IhcWFsoajUZesmSJ6/ns7GxZp9PJM2fOdC2r/LdQztvbW16wYIEsy7I8f/58uX379rLD4XA9bzabZZ1OJ//222+ufY+KipJtNpurzU033SRPmjRJlmVZPnLkiAzIq1atqvbY09LSZKVSKW/btk2WZVm2WCxyYGCgvHDhwvO+X9X9fQKyh4dHlb8xlUpVbfuSkhK5T58+8rXXXivb7fZabUMQBKE5EPfcCILQYnTp0sXtcWhoKJmZmZe0zuPHj/Pss8+ydetWsrKyXCM2ycnJxMfH13o9t99+O08//bTbsu+//55XXnnF9bi4uJjnn3+e5cuXk5aWhs1mo6SkpMrITUJCQpX16/V6t6v9wcHBREdHYzQa3ZaVvx+HDh1CpVLRp08f1/P+/v60b9+eQ4cO1bje872nhw4dwmw2c9VVV533vTjXsGHDmDdvnuuxwWBw/f+5x7pz507Wrl3rdlzljh8/TklJCRaLhX79+rmW+/n50b59+4vap507d5KYmIinp6fb8tLSUreUsU6dOqFUKl2PQ0ND2bdvHwB79uxBqVQyZMiQarcRGhrK2LFj+fTTT+nduzfLly+ntLSUm2666aL2tdw777zDiBEj3JY98cQTbqmI5e6++24KCwtZtWoVCoVI4hAEoeUQwY0gCC2GWq12eyxJ0iWnj1133XW0atWKTz75hLCwMBwOB/Hx8W6pSbXh7e1NmzZt3JYFBQW5PX788cf57bffePPNN2nTpg06nY6JEydW2Vblk/9y1R37+d4PWZar3U9ZlpEk6bzrrem1Op2u2uUXYjAYqrw3lZ+rzOFwcN111/Haa69VaRsaGup2z9D5VHccldPxHA4HPXv25Isvvqjy2srFDs73Htfm/bjnnnu48847eeedd1iwYAGTJk1Cr9fX6hjOFRISUuV99PT0JC8vz23ZSy+9xMqVK9m+fXuV4E0QBKG5E8GNIAhXpPKqW9Vd1S6XnZ3NoUOH+Oijjxg0aBAAmzZtarB92rhxI1OnTuWGG24AnPfgVL6BvT517NgRm83Gtm3b6N+/P+A83qNHjxIXF1endbZt2xadTseaNWu455576nN3XXr06MHSpUuJjo5Gpar6E9amTRvUajVbt24lMjIScBZOOHr0qNsISmBgoFthhGPHjmEymdy28/XXXxMUFISXl1ed9rVz5844HA7Wr19fZUSl3JgxYzAYDMybN49ff/2VDRs21GlbtbV06VJeeOEFfv311wa5r0cQBKGxibFoQRCuSEFBQeh0OtcN6fn5+VXalFfJ+vjjj0lMTOSPP/5g1qxZDbZPbdq04fvvv2fPnj3s3buX2267rUEKF4AzEBk/fjzTp09n06ZN7N27lzvuuIPw8HDGjx9fp3V6eHjwxBNPMHv2bD777DOOHz/O1q1bmT9/fr3t94wZM8jJyeHWW29l+/btnDhxgt9//51p06Zht9sxGo3cfffdPP7446xZs4b9+/czderUKqlXw4cP57333mPXrl3s2LGD+++/320U5vbbbycgIIDx48ezceNGkpKSWL9+PTNnziQlJaVW+xodHc2UKVOYNm0aP/74I0lJSaxbt45vvvnG1UapVDJ16lSeeuop2rRp45ZOV9/279/P5MmTeeKJJ+jUqRNnzpzhzJkz5OTkNNg2BUEQLjcR3AiCcEVSqVS8++67fPTRR4SFhVV7Qq9QKFiyZAk7d+4kPj6eRx99lDfeeKPB9umdd97B19eX/v37c9111zFq1Ch69OjRYNtbsGABPXv25Nprr6Vfv37IssyKFSuqpFpdjGeffZZ//vOf/N///R9xcXFMmjTpku97qiwsLIzNmzdjt9sZNWoU8fHxzJw5E29vb1cA88YbbzB48GDGjRvHiBEjGDhwID179nRbz1tvvUWrVq0YPHgwt912G4899phbOpher2fDhg1ERkYyYcIE4uLimDZtGiUlJRc1kjNv3jwmTpzIgw8+SIcOHZg+fTrFxcVube6++24sFgvTpk27hHfmwnbs2IHJZOKll14iNDTU9W/ChAkNul1BEITLSZJrSp4WBEEQhBZi6NChdOvWjblz5zb2rlSxefNmhg4dSkpKygXLZk+dOpW8vLwqc/TUp8uxDUEQhIYiRm4EQRAEoRGYzWYSExN59tlnufnmm2s9H9Dy5csxGo0sX768Xvdn48aNGI3GaosoCIIgNBeioIAgCIIgNIKvvvqKu+++m27duvH555/X6jWvv/46zzzzDOCsDlefEhIS2LNnD0C1pbYFQRCaA5GWJgiCIAiCIAhCiyDS0gRBEARBEARBaBFEcCMIgiAIgiAIQosgghtBEARBEARBEFoEEdwIgiAIgiAIgtAiiOBGEARBEARBEIQWQQQ3giAIgiAIgiC0CCK4EQRBEARBEAShRRDBjSAIgiAIgiAILcL/A2Vp7RSsVzH7AAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the data\n", "colors = {0.1: \"royalblue\", 0.3: \"seagreen\", 0.5: \"crimson\", 0.7: \"darkviolet\"}\n", "\n", "plt.figure(figsize=(8, 5))\n", "for harmonic_frequency, snr, l_set, m_set, e_temp, a in data_out:\n", " color = colors[e_temp]\n", " if a == 0.9:\n", " plt.plot(\n", " harmonic_frequency,\n", " 20.0 * snr / np.sum(snr**2) ** 0.5,\n", " \":P\",\n", " label=f\"e = {e_temp}, a = {a}\",\n", " color=color,\n", " )\n", " # plt.text(harmonic_frequency[-1], 20.0 * snr[-1]/np.sum(snr**2)**0.5, f\"({l_set},{m_set})\", fontsize=8)\n", " if a == 0.0:\n", " plt.plot(\n", " harmonic_frequency,\n", " 20.0 * snr / np.sum(snr**2) ** 0.5,\n", " \"--o\",\n", " label=f\"e = {e_temp}, a = {a}\",\n", " color=color,\n", " )\n", " # for ii in range(len(harmonic_frequency)):\n", " # plt.text(harmonic_frequency[ii], 20.0 * snr[ii]/np.sum(snr**2)**0.5, f\"n={ii-3}\", fontsize=8)\n", "\n", "plt.xlabel(\"Initial Harmonic Frequency [Hz]\")\n", "plt.ylabel(\"20 x SNR / Total SNR\")\n", "plt.title(\n", " f\"SNR per each harmonic (m,n) = ({2},n) for m1={m1:.2e}, m2={m2:.2e} and plunge in {Tobs} years\"\n", ")\n", "plt.xlim(0, 0.012)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 46, "id": "21fbee3c", "metadata": {}, "outputs": [], "source": [ "# Initialize data storage\n", "data_out = []\n", "\n", "# mode vector\n", "a = 0.0\n", "Tobs = 0.1 # observation time, if the inspiral is shorter, the it will be zero padded\n", "eccentricity_vector = [0.1, 0.5]\n", "max_n_vector = [10, 26]\n", "eta_vector = [1e-4, 1e-6] # mass ratio values\n", "\n", "for eta in eta_vector:\n", " for e_temp, max_n in zip(eccentricity_vector, max_n_vector):\n", " temp = emri_injection_params.copy()\n", " m2 = eta * m1\n", " p_temp = get_p_at_t(\n", " traj_module,\n", " Tobs * 0.99,\n", " [m1, m2, a, e_temp, 1.0],\n", " index_of_p=3,\n", " index_of_a=2,\n", " index_of_e=4,\n", " index_of_x=5,\n", " traj_kwargs={},\n", " xtol=2e-6,\n", " rtol=8.881784197001252e-6,\n", " )\n", " temp[3] = p_temp\n", " temp[4] = e_temp\n", " temp[1] = m2\n", " for l_set, m_set in zip([2], [2]):\n", " modes = [(l_set, m_set, 0, ii) for ii in range(-3, max_n)]\n", " out = np.asarray(\n", " [\n", " calculate_snr_mismatch(\n", " mode,\n", " temp,\n", " waveform_kwargs,\n", " fd_kwargs,\n", " freq,\n", " positive_frequency_mask,\n", " dt,\n", " )\n", " for mode in modes\n", " ]\n", " )\n", " snr, Mism, harmonic_frequency = out.T\n", " data_out.append((harmonic_frequency, snr, l_set, m_set, e_temp, eta))" ] }, { "cell_type": "code", "execution_count": 47, "id": "0f0e3429", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the data\n", "colors = {0.1: \"royalblue\", 0.3: \"seagreen\", 0.5: \"crimson\", 0.7: \"darkviolet\"}\n", "\n", "plt.figure(figsize=(8, 5))\n", "for harmonic_frequency, snr, l_set, m_set, e_temp, eta_temp in data_out:\n", " color = colors[e_temp]\n", " if eta_temp == 1e-4:\n", " plt.plot(\n", " harmonic_frequency,\n", " 20.0 * snr / np.sum(snr**2) ** 0.5,\n", " \"-P\",\n", " label=f\"e = {e_temp}, m2/m1={eta_temp:.1e}\",\n", " color=color,\n", " )\n", " if eta_temp == 1e-6:\n", " plt.plot(\n", " harmonic_frequency,\n", " 20.0 * snr / np.sum(snr**2) ** 0.5,\n", " \":X\",\n", " label=f\"e = {e_temp}, m2/m1={eta_temp:.1e}\",\n", " color=color,\n", " )\n", "\n", "plt.xlabel(\"Initial Harmonic Frequency [Hz]\")\n", "plt.ylabel(\"20 x SNR / Total SNR\")\n", "plt.title(\n", " f\"SNR per each harmonic (m,n) = ({2},n) for m1={m1:.2e} and plunge in {Tobs} years\"\n", ")\n", "plt.xlim(0, 0.03)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c0ef9908", "metadata": {}, "source": [ "## Speed test as a function of the parameter space" ] }, { "cell_type": "code", "execution_count": 48, "id": "ae62804f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [100000.0, 10.0, 0.9, 27.80352723778368, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 5.610744953155518, 'td_time': 1.2680339813232422}\n", "{'input_params': [100000.0, 10.0, 0.9, 27.51402838748775, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 10.096804141998291, 'td_time': 1.919382095336914}\n", "{'input_params': [100000.0, 10.0, 0.9, 26.566565101687495, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 20.38076901435852, 'td_time': 3.5160341262817383}\n", "{'input_params': [1000000.0, 10.0, 0.9, 8.530368946845986, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 1.872527837753296, 'td_time': 1.717858076095581}\n", "{'input_params': [1000000.0, 10.0, 0.9, 8.477092794460157, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 2.7570900917053223, 'td_time': 2.557332992553711}\n", "{'input_params': [1000000.0, 10.0, 0.9, 8.270079444955954, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 5.6048970222473145, 'td_time': 4.344716787338257}\n", "{'input_params': [10000000.0, 10.0, 0.9, 3.1415736316879297, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.667302131652832, 'td_time': 2.5093188285827637}\n", "{'input_params': [10000000.0, 10.0, 0.9, 3.247517449366446, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.737706184387207, 'td_time': 3.4352900981903076}\n", "{'input_params': [10000000.0, 10.0, 0.9, 3.4020410949990105, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.7946779727935791, 'td_time': 4.578252792358398}\n", "[{'input_params': [100000.0, 10.0, 0.9, 27.80352723778368, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 5.610744953155518, 'td_time': 1.2680339813232422}, {'input_params': [100000.0, 10.0, 0.9, 27.51402838748775, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 10.096804141998291, 'td_time': 1.919382095336914}, {'input_params': [100000.0, 10.0, 0.9, 26.566565101687495, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 20.38076901435852, 'td_time': 3.5160341262817383}, {'input_params': [1000000.0, 10.0, 0.9, 8.530368946845986, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 1.872527837753296, 'td_time': 1.717858076095581}, {'input_params': [1000000.0, 10.0, 0.9, 8.477092794460157, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 2.7570900917053223, 'td_time': 2.557332992553711}, {'input_params': [1000000.0, 10.0, 0.9, 8.270079444955954, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 5.6048970222473145, 'td_time': 4.344716787338257}, {'input_params': [10000000.0, 10.0, 0.9, 3.1415736316879297, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.667302131652832, 'td_time': 2.5093188285827637}, {'input_params': [10000000.0, 10.0, 0.9, 3.247517449366446, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.737706184387207, 'td_time': 3.4352900981903076}, {'input_params': [10000000.0, 10.0, 0.9, 3.4020410949990105, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.7946779727935791, 'td_time': 4.578252792358398}]\n" ] } ], "source": [ "# create a function that times the FD and TD waveform generation for different input parameters\n", "\n", "\n", "def time_waveform_generation(fd_waveform_func, td_waveform_func, input_params, kwargs):\n", " \"\"\"\n", " Times the FD and TD waveform generation for different input parameters.\n", "\n", " Parameters:\n", " fd_waveform_func (function): Function to generate FD waveform.\n", " td_waveform_func (function): Function to generate TD waveform.\n", " input_params (list): List of dictionaries containing input parameters for the waveform functions.\n", "\n", " Returns:\n", " list: List of dictionaries containing input parameters and their corresponding FD and TD generation times.\n", " \"\"\"\n", " results = []\n", "\n", " for params in input_params:\n", " # Time FD waveform generation\n", " start_time = time.time()\n", " fd_waveform_func(*params, **kwargs)\n", " fd_time = time.time() - start_time\n", "\n", " # Time TD waveform generation\n", " start_time = time.time()\n", " td_waveform_func(*params, **kwargs)\n", " td_time = time.time() - start_time\n", "\n", " # Store the results\n", " result = {\"input_params\": params, \"fd_time\": fd_time, \"td_time\": td_time}\n", " print(result)\n", " results.append(result)\n", "\n", " return results\n", "\n", "\n", "timing_results = []\n", "vec_par = []\n", "Tobs = 2.0\n", "# create a list of input parameters for m1, m2, a, p0, e0, x0\n", "for mass in [1e5, 1e6, 1e7]:\n", " for el in np.linspace(0.1, 0.6, num=3):\n", " temp = emri_injection_params.copy()\n", " temp[0] = mass\n", " temp[4] = el\n", " temp[3] = get_p_at_t(\n", " traj_module,\n", " Tobs * 0.99,\n", " [temp[0], temp[1], temp[2], temp[4], 1.0],\n", " index_of_p=3,\n", " index_of_a=2,\n", " index_of_e=4,\n", " index_of_x=5,\n", " traj_kwargs={},\n", " xtol=2e-6,\n", " rtol=8.881784197001252e-6,\n", " )\n", " vec_par.append(temp.copy())\n", "\n", "waveform_kwargs = {\n", " \"T\": Tobs,\n", " \"dt\": dt,\n", " \"mode_selection_threshold\": 1e-2,\n", "}\n", "timing_results = time_waveform_generation(few_gen, td_gen, vec_par, waveform_kwargs)\n", "\n", "print(timing_results)" ] }, { "cell_type": "code", "execution_count": 49, "id": "8e4fc1d1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "markers = [\"o\", \"s\", \"D\", \"^\", \"v\", \"<\", \">\", \"p\", \"*\", \"h\", \"H\", \"+\", \"x\", \"d\", \"|\", \"_\"]\n", "masses = sorted(set([el[\"input_params\"][0] for el in timing_results]))\n", "\n", "for lab in [\"fd_time\", \"td_time\"]:\n", " for i, mass in enumerate(masses):\n", " timing = [el[lab] for el in timing_results if el[\"input_params\"][0] == mass]\n", " ecc = [el[\"input_params\"][4] for el in timing_results if el[\"input_params\"][0] == mass]\n", " plt.plot(ecc, timing, markers[i % len(markers)], label=fr\"{lab[:2]}, $m_1$={int(mass/1e5)} $\\times 10^5 \\, M_\\odot$\", alpha=0.5)\n", "plt.xlabel(\"Eccentricity\")\n", "plt.ylabel(\"Time [s]\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "862289f6", "metadata": {}, "source": [ "## Mass invariance\n", "If we fix the mass ratio of an EMRI system the frequency domain waveform is invariant under a total mass change as long as we consider dimensionless frequencies. We show this here as a check of our frequency domain implementation." ] }, { "cell_type": "code", "execution_count": 50, "id": "88efb70a", "metadata": {}, "outputs": [], "source": [ "from few.utils.mappings.common import muM_to_m1m2\n", "\n", "list_h = []\n", "list_f = []\n", "T = 4.0\n", "dt = 10.0\n", "# array of total masses\n", "Mvec = 10 ** np.linspace(5.0, 6.5, num=3)\n", "\n", "for M in Mvec:\n", " # fix mass ratio\n", " mu = 5e-5 * M\n", "\n", " m1, m2 = muM_to_m1m2(mu, M)\n", " \n", " # rescale time\n", " Tnew = T * (M / 1e6)\n", "\n", " # generate wave\n", " list_h.append(\n", " few_gen(\n", " m1,\n", " m2,\n", " a,\n", " p0,\n", " e0,\n", " x0,\n", " dist,\n", " qS,\n", " phiS,\n", " qK,\n", " phiK,\n", " Phi_phi0,\n", " Phi_theta0,\n", " Phi_r0,\n", " T=10.0,\n", " dt=dt,\n", " mode_selection=[(2, 2, 0, 0)],\n", " mask_positive=True,\n", " )\n", " )\n", "\n", " # dimensionless frequency\n", " list_f.append(few_gen.waveform_generator.create_waveform.frequency * M * MTSUN_SI)" ] }, { "cell_type": "code", "execution_count": null, "id": "36b31e6c", "metadata": {}, "outputs": [], "source": [ "plt.figure()\n", "for ii in range(len(Mvec)):\n", " Tnew = 10.0 * Mvec[ii] / 1e6\n", " tmp_mu = 1e-5 * Mvec[ii]\n", "\n", " ff = list_f[ii]\n", " ff = ff[ff >= 0.0]\n", " h2 = np.abs(list_h[ii][0] / (tmp_mu * Tnew)) ** 2\n", " plt.loglog(ff, h2, \"--\", label=f\"mu = {tmp_mu:.2}, T = {Tnew:.2}\", alpha=0.5)\n", "\n", "plt.xlim([1e-4, 1e-1])\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "755bde74", "metadata": {}, "source": [ "## Downsampled FD Waveforms\n", "One of the main advantages of the frequency domain formulation is that we can downsample the frequencies to reduce the computational cost of the waveform. This is illustrated in the following cells where we perform different levels of downsampling." ] }, { "cell_type": "code", "execution_count": 54, "id": "556743b8", "metadata": {}, "outputs": [], "source": [ "m1, m2, p0, e0 = (\n", " 3670041.7362535275,\n", " 292.0583167470244,\n", " 13.709101864726545,\n", " 0.5794130830706371,\n", ") # 1e6, 10.0, 13.709101864726545, 0.5794130830706371 #\n", "\n", "x0 = 1.0 # will be ignored in Schwarzschild waveform\n", "qK = np.pi / 3 # polar spin angle\n", "phiK = np.pi / 3 # azimuthal viewing angle\n", "qS = np.pi / 3 # polar sky angle\n", "phiS = np.pi / 3 # azimuthal viewing angle\n", "dist = 1.0 # distance\n", "# initial phases\n", "Phi_phi0 = np.pi / 3\n", "Phi_theta0 = 0.0\n", "Phi_r0 = np.pi / 3\n", "\n", "Tobs = 4.0 # observation time, if the inspiral is shorter, the it will be zero padded\n", "dt = 10.0 # time interval\n", "eps = 1e-2 # mode content percentage\n", "mode_selection = [(2, 2, 0)]\n", "\n", "waveform_kwargs = {\n", " \"T\": Tobs,\n", " \"dt\": dt,\n", " # you can uncomment the following ling if you want to show a mode\n", " # \"mode_selection\" : mode_selection,\n", " # \"include_minus_m\": True\n", " \"mode_selection_threshold\": eps,\n", "}\n", "\n", "# get the initial p0\n", "p0 = get_p_at_t(\n", " traj_module,\n", " Tobs * 0.99,\n", " [m1, m2, 0.0, e0, 1.0],\n", " index_of_p=3,\n", " index_of_a=2,\n", " index_of_e=4,\n", " index_of_x=5,\n", " traj_kwargs={},\n", " xtol=2e-12,\n", " rtol=8.881784197001252e-16,\n", " bounds=None,\n", ")\n", "\n", "\n", "emri_injection_params = [\n", " m1,\n", " m2,\n", " a,\n", " p0,\n", " e0,\n", " x0,\n", " dist,\n", " qS,\n", " phiS,\n", " qK,\n", " phiK,\n", " Phi_phi0,\n", " Phi_theta0,\n", " Phi_r0,\n", "]" ] }, { "cell_type": "code", "execution_count": 53, "id": "f4da894d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "max frequency 0.002815484841832867\n", "max frequency 0.002815484841832867\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# FD plot\n", "plt.figure()\n", "\n", "alpha = [1.0, 0.9, 0.8, 0.2]\n", "linest = [\"-\", \"--\", \"-.\", \":\"]\n", "\n", "for upp, aa, ls in zip([1, 100, 10000], alpha, linest):\n", " # you can specify the frequencies or obtain them directly from the waveform\n", " fd_kwargs = waveform_kwargs.copy()\n", " fd_kwargs[\"mask_positive\"] = True\n", " # get FD waveform\n", " hf = few_gen(*emri_injection_params, **fd_kwargs)\n", " freq_fd = few_gen.waveform_generator.create_waveform.frequency\n", " positive_frequency_mask = freq_fd >= 0.0\n", " mask_non_zero = hf[0] != complex(0.0)\n", " end_f = few_gen.waveform_generator.create_waveform.frequency[\n", " positive_frequency_mask\n", " ][mask_non_zero].max()\n", "\n", " if upp != 1:\n", " num = int(len(freq_fd[positive_frequency_mask][mask_non_zero]) / upp)\n", " p_freq = np.linspace(0.0, end_f * 1.01, num=num)\n", " print(\"max frequency\", end_f)\n", " newfreq = np.hstack((-p_freq[::-1][:-1], p_freq))\n", "\n", " # you can specify the frequencies or obtain them directly from the waveform\n", " fd_kwargs = waveform_kwargs.copy()\n", " fd_kwargs[\"f_arr\"] = newfreq\n", " fd_kwargs[\"mask_positive\"] = True\n", "\n", " # get FD waveform\n", " hf = few_gen(*emri_injection_params, **fd_kwargs)\n", " # to get the frequencies:\n", " freq_fd = few_gen.waveform_generator.create_waveform.frequency\n", " positive_frequency_mask = freq_fd >= 0.0\n", "\n", " Nf = len(freq_fd[positive_frequency_mask])\n", " plt.loglog(\n", " freq_fd[positive_frequency_mask],\n", " freq_fd[positive_frequency_mask] ** 2 * np.abs(hf[0]) ** 2,\n", " ls,\n", " label=f\"$N_f = $ {Nf}\",\n", " alpha=aa,\n", " )\n", "\n", "\n", "ff = 10 ** np.linspace(-5, -1, num=100)\n", "plt.loglog(ff, ff * get_sensitivity(ff), \"k:\", label=\"LISA sensitivity\")\n", "\n", "plt.ylabel(r\"$|f\\, \\tilde{h}_{+}(f)|^2$\", fontsize=16)\n", "plt.xlabel(r\"$f$ [Hz]\", fontsize=16)\n", "plt.legend(loc=\"lower left\")\n", "plt.xlim(1e-4, 3e-3)\n", "plt.grid()\n", "plt.ylim([1e-49, 1e-34])\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# plt.savefig('figures/spectrum_downsampled.pdf')" ] }, { "cell_type": "code", "execution_count": null, "id": "b6533759", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "few-env", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 5 }