{ "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": 1, "id": "348daf55", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:08.130053Z", "iopub.status.busy": "2026-07-11T10:50:08.129800Z", "iopub.status.idle": "2026-07-11T10:50:13.266992Z", "shell.execute_reply": "2026-07-11T10:50:13.266518Z" } }, "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": 2, "id": "15c08219-56eb-430d-b19e-e012b5c59cc7", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:13.268268Z", "iopub.status.busy": "2026-07-11T10:50:13.268196Z", "iopub.status.idle": "2026-07-11T10:50:18.461728Z", "shell.execute_reply": "2026-07-11T10:50:18.461225Z" } }, "outputs": [ { "data": { "text/plain": [ "50591" ] }, "execution_count": 2, "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": 3, "id": "a2779c4c", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:18.462806Z", "iopub.status.busy": "2026-07-11T10:50:18.462742Z", "iopub.status.idle": "2026-07-11T10:50:19.721748Z", "shell.execute_reply": "2026-07-11T10:50:19.721264Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "New p0: 8.550184245239578\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": 4, "id": "1274f17f", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:19.722753Z", "iopub.status.busy": "2026-07-11T10:50:19.722686Z", "iopub.status.idle": "2026-07-11T10:50:24.934078Z", "shell.execute_reply": "2026-07-11T10:50:24.933614Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time taken to generate the TD signal: 4.702707052230835 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": 5, "id": "d85e84b8", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:24.935285Z", "iopub.status.busy": "2026-07-11T10:50:24.935208Z", "iopub.status.idle": "2026-07-11T10:50:25.240589Z", "shell.execute_reply": "2026-07-11T10:50:25.240150Z" } }, "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": 6, "id": "a9025a56", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:25.241692Z", "iopub.status.busy": "2026-07-11T10:50:25.241609Z", "iopub.status.idle": "2026-07-11T10:50:26.506280Z", "shell.execute_reply": "2026-07-11T10:50:26.505768Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time taken to generate the FD signal: 1.2372000217437744 seconds\n", "mismatch 0.00037697698512662026\n", "TD SNR 59.74183088613482\n", "FD SNR 59.741223167174624\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": 7, "id": "b1798432", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:26.507311Z", "iopub.status.busy": "2026-07-11T10:50:26.507250Z", "iopub.status.idle": "2026-07-11T10:50:27.436545Z", "shell.execute_reply": "2026-07-11T10:50:27.436096Z" } }, "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": 8, "id": "46335af4", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:27.437671Z", "iopub.status.busy": "2026-07-11T10:50:27.437607Z", "iopub.status.idle": "2026-07-11T10:50:28.627564Z", "shell.execute_reply": "2026-07-11T10:50:28.627086Z" } }, "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": 9, "id": "4c3ad8c5", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:28.628727Z", "iopub.status.busy": "2026-07-11T10:50:28.628667Z", "iopub.status.idle": "2026-07-11T10:50:29.270596Z", "shell.execute_reply": "2026-07-11T10:50:29.270286Z" } }, "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": 10, "id": "e3d46791", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:29.271741Z", "iopub.status.busy": "2026-07-11T10:50:29.271684Z", "iopub.status.idle": "2026-07-11T10:50:30.934048Z", "shell.execute_reply": "2026-07-11T10:50:30.933631Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time taken to generate the FD signal: 0.1740400791168213 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-4, 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": 11, "id": "fc5d4585", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:30.935252Z", "iopub.status.busy": "2026-07-11T10:50:30.935170Z", "iopub.status.idle": "2026-07-11T10:50:41.214208Z", "shell.execute_reply": "2026-07-11T10:50:41.213733Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " ***** No window ***** \n", "mismatch 0.00037697698512650923\n", "TD SNR 59.74183088613482\n", "FD SNR 59.74122316717463\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", " ***** With window ***** \n", "mismatch 0.00014232848986561741\n", "TD SNR 59.53696943487366\n", "FD SNR 59.551222604730135\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": 12, "id": "23becf56", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:41.215265Z", "iopub.status.busy": "2026-07-11T10:50:41.215200Z", "iopub.status.idle": "2026-07-11T10:50:42.034923Z", "shell.execute_reply": "2026-07-11T10:50:42.034484Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": 13, "id": "71486c23", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:50:42.036069Z", "iopub.status.busy": "2026-07-11T10:50:42.036000Z", "iopub.status.idle": "2026-07-11T10:52:53.997175Z", "shell.execute_reply": "2026-07-11T10:52:53.996799Z" } }, "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] + OmegaR * mode[2]) / (\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, 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": 14, "id": "d289715c", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:52:53.998527Z", "iopub.status.busy": "2026-07-11T10:52:53.998450Z", "iopub.status.idle": "2026-07-11T10:52:54.200696Z", "shell.execute_reply": "2026-07-11T10:52:54.200238Z" } }, "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, 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": 15, "id": "21fbee3c", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:52:54.201654Z", "iopub.status.busy": "2026-07-11T10:52:54.201589Z", "iopub.status.idle": "2026-07-11T10:54:15.305658Z", "shell.execute_reply": "2026-07-11T10:54:15.305123Z" } }, "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, 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": 16, "id": "0f0e3429", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:54:15.306846Z", "iopub.status.busy": "2026-07-11T10:54:15.306768Z", "iopub.status.idle": "2026-07-11T10:54:15.347886Z", "shell.execute_reply": "2026-07-11T10:54:15.347455Z" } }, "outputs": [ { "data": { "image/png": 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G3WNoBRt2IUmt04qApAMtQXjIUH7dbaNFh/915RTffPONOEZ4Y1E+HDdafSdPntRrSQKpJVkekIeglSeB40GL2lCaYQp4x+B9kpBa1brr5+fnCy8degJQZkwoP1qduuWu6Lyhywg9GBLwIKALCMeALiAJdCnplgH7QS8JBrNhvxIoN7qV4RE1HPSBFrIuxo7LEJx3nL/yuutNAa86jsUUhlFapGM0HBSD+ebWHTx6kmRC9ziNrS+VraJua9QP7nVzJt06M4bU01DeeZE8dTg/NWvWpGXLlpG5wAMuDX4E6JbFvkwdP6I5mONhN0R6hhhGOcC5R30ZeoKio6OFd8Zc0L2MZ4UE7i/ca7hf2rRpU+Z+Mff6MOSxxx4zq17RLa0LPHKY4GHCBI8nvIWQrHz22WdmH6M5800tp/sfpFjwksOLr/u8hccNAwlxDFJ3NHq48IzVneDVRfkN5xv2AppTFoDzgZ4MXI+oR/Q04V2J/RiT9hnroenZs6foycIzDWV58cUXhfTSMEKKOc97XK94/+J+kMB2LfUyG75T4cWUtm8vzHmGoQ4hE0EPsy7oddbFkuvCUoy9T/BuNxbBxhBzryN7I5PJhDcfvahSTys81PAwo/dM2jf+h60Fb7PuecO1hvrRtY3gWcd1IPVa4VqF/QTMsQXwXMPzEfYEelAMFQLmUlaM7IFA5yxpndE1hJOCUefoWjc1sh4yAWi/ELbNUCdnuBxeQtBrQY+L0d/o/ochBc2NORh2GeLFhAYBHky6+mxIFszRLsFARhdSRWD7uADxIDXVbS81PNC1B2N/xIgR9Nxzz4kyo5zo0tLVxUHHhAvW8JiMgWM0BOfM3K5Hw/Wl8627Pm4iGA6IaoHzh/MiGQLG9gNjwBgwCgxBtALD+VIEAym8WlZWlpAlGNuuZNhJ9WzJcRmC847tWaNjw3Z1X2KGmDpGY/PNDStnSd3j5SuVszzQaMHD1ByMjbPQRdqXtG9j4OUJYwTbwjVm7Bqx1/HjGsK51W2YmYN0bZm6/gyNXFPXvynwrDE8R8buC2m+tWEH8TypqIFj7oseTgRobQ3HX5iqI8P7E8AA0j1GLHvkyJEyy8EQQleytKz0LEcj2xTYNsonNRJ1gdQC9fbSSy/pzddtJOq+Owy3Cyq6TiFngMwP5wfnyhTQZ8P5hG52NFAgrUEdQ3KBsUmG17I51zzKbezdYc77xPD9aWx9Y+fFWsw9Hoz5McTweWvJdWFrOc15n8B4xL1ky3VkKxMmTBANNBiwkL9CcgEttK7jCOcNUiFTkYMk+wXONUhl8axCQxKNOTy7MAYGkiXDc2HMhkLDEY0kXNuQt+HdjuclpJCQRUpS0UphVOuCA8cDCUa1rs7NELyc0ZrEQDhdT4whGJwgGezQpKLScYJhpOLBZK42C3FaJWDo4mKWbgYMWAPQruoOGrC1BYkbR/KYmvIsSw8E6L3wHRpg3e0bhpWCrhC6RhyTpS9oewMNM1qyqG9oyQz14c5ofeMcw9CFts6UN1SqX1vAecdgSHg2LDWssX9zNKauQipbRecJDzxzNdAY+4DBU6aQ9oV9G7uOYYzCmICxC28IDApHgTLgRWipQQ2kZwiuP8My4vozPKeO9D7ZAnoNyxsbIoHnozmxcFFvFd0n8DACaOsN3wGYJ/0P0POJMQd47ukagFhOd1vS+cb7AYO3jSEZXOjJkN4tEpiHOjWcrwvKIu3XsMy6ZamIis4PjhfvUzxjdRtWMKqtBceGc2iIsXmmMHx/6q5vzBCWkI7B8J1mqkfbHLA/Y0ELDI/HkuvCGcCOgWfW1HWE/2H7OJLIyEjhuUcPIGwpBAaAk0xXBSAN5jcWHABIvYHoUcHzDs9qyTsNYJAbw9RzULrP8fz4999/he4fzyacD10bozw8Wv5hzJDRdfVX1AWMFg28DOY8zCUwYA0XI7rQzBWvY5CdLhDP48EgRXfAQAW0vtH9IXndDSdrQGsMRggGgqBLyNh2pYcQLjK0BnUvNjwYDLsIMVgDwIPtalBWXPyGPQa4SY0NaHIE8CxgdDw8/bqtYRi/aKjA0LFkUKspcN7hBbQm+D8Gwjly0ImtoGx4wWOwm7PkH1JyENxzhqA7EvcmriE8rM1p6Np6/Ibdx+YiSTkMB4DiHOA5WFFkIHfBWvmHMeCcQM+iKeNFAo4OdO/j3Ok+L+DBhWQLHi4JSAvxvDGMcIL7ES9cKZkK5HMwCtB1bOpZbmu8bniXIW9Bb6kE3ic4DjyLKrr2pWOo6PzgePFe0pXg4RmHQd7WgvcRen10DVGce0ujcRm+UzE4D5SXMEtqZMNY0sVY1CpzgQEH552hVMAwmo8zrgtrriM833QjGsGmwbsMkpKKevvswTPPPCMaNfDgwwA2HOAJ6R0aULhGjJ0z6Z0h2S2GtgAGsFoDtodB+nDOot4sSVDm0Z5qGKMwWqC3wUsShgy66BClAF4fjDAtD3hmoTdDAH1zQcsdXRWQSmA9KcxVeeAixQUKzR9GZkOqgArDNqSbHa0hjMrGCxYPaHhA8eBBFxwMN0sMf11QRkTxQNcIjhX7wo1z7tw58YKSohrg4kU5oWfCBY4bDSO84cXTTXSD7cDzjQYJyof1cCHDcIcRj5HhzgLdN+g9ePvtt0WLFscGbyZ04M7MNgdJEOoWLwy0uPFwROIWPGwRCcQe3kH0qqAlj4yIeOFjX7je8WKFdhZhBU2BFw0kPBhvYA8DXxdoefGSrsgzXB4wYtBzhGu+PIx59qwFxgeMIexbV5MIHSLOLRrsuI7wW1ebiOeNrkdYOmZrM4mhDnGPS5E9LAUvFRik8IChYYLGF8qCZwx04K5KrCOB+1EKfYUXI3oAYPRKBgl6YAAMwYqMQUOwLXi2cO3D0YH7DPvDiH1EaZGio0jgGYx96urMIe/DvQvZG559qGt4pODt1ZUFYnuoI/SKwciE1AxyQCQIwrNQ6irHewd1AQ8ceiDwLIWsBecA0THwaatDAt3j6CpHmeHcwfbxvMFzQTchEMYboSsbxhO8jmiUY2wGyozGmLGoCLpgTAV6cnGOcY3BuIFc0lzZozHwvoQRi/2j6x/vDByLJXpiPF/xjkeXP+oBemXUAa59vOtMgWVxv+AZjUYInjeIXIMeQGtBhAk8W7FvvMPhbYaBj0aPbm+AM64LS8F5QAMJ9Yyyo15xPeE6kcJ1SuD+ArAbJFBmKdmQ5PH+6aefxD2NSddjbAq8j2DvYD3UHewiXXBvowGFniTYc2gEwwbDWCXo59HYxfWNSEeoT7wfcY9iGayHc2su6JHBfQR5L+4XOOxgE8HYxzPCbDQeDEbwjxo1StOwYUNNWFiYGBVdq1YtzZgxYzQnTpwwKwg+RtJHRESYnfxFokOHDpro6GhNdna2yfJJo3MPHTokRv2ijOHh4ZoHH3zQaAIHjDrt3r27KE9gYKAYvTx8+HARrcSWZAcYkTthwgRN9erVxTnC6H1ESUEyCV3efPNNTZ06dcS+mzZtKqIySMdgOHL33XffFdEtMPIdySs6deqk2bRpU4XJXwyjWlia/AXzUSaJa9euae677z5RFzi39957r0jUYGrkN0YNGyuTsWvD1DFgO08++aTePCQF6dGjh6gbjG5HRBDd81FeGUyNPjc8TxhNj6RDuN5x3jECH/usaJQ2Ir/g2jMcJW6qPMaiTJi69nDucby60XBMnU+sbxi9AREaEK1h0aJFGmeD5wRG81sSYUT32gNIlIC6ruj6MJWMApE4pGdERZiqF9yPCxcuFMmtcH+jTKNHj9ZcvXrVpkQgpp41ltwvUhQFY5Pu9W4NiFyEiCx4ZuEaxD2Be2PmzJlGn8vYp7FnD6KGoA4RMQERGhB9w9jzWS6XizrAOwb7wvnWjQKkC6IO4Fxge6gTPHvx29T7xJLkLwDRM1BObB/lRvm3b9+ut8zZs2c1/fr1E/vGMx3LIaISImUUFxdrzAEREhD1BOsjWgOiRSxfvrxMpAdLnveIooXyYpuIboUIGp9++qnZ0T9wTf7777+au+++W9Q7zsHjjz9eJmmTsfvtzJkzmt69e4t3LN6DiHyEqCjGnr/mPsPwvunZs6f2+kHELClJnG7UCVuui/Kifxg+DyxJpHPu3DkR7QnnA8/he+65x+izCMdseNzlPSu7VfCO12XlypVinXXr1hn9H1E8kCQLUVJwjvEuQ7QYRJXBNS6B9yDsEBwH6vbRRx8VEYoMz5up59qpU6eEbYboI7iuYNcgKgvKZwkebVS7O6YueoZxNgilhYaSvTNIIhTcjBkzrF5/2bJl4gFnKrSjI5HCMpkTVs8YCKOF9Tdv3mx1GWD8ooHLMIzjM2g6C2TahPFXUlLi6qK4PcOGDdNUq1ZNNFq9AY+WfzAMY363K0J1IUFAeSPQLQFSJmhXEW3HGtAFi+53hMCsSPrhCCAlgQQLMidj2Q4rAt2PSEBlGHrQXKDnhpZUkmAxDON5QDoB6RIkA5Ck4FmCcT145jpbJ+0plJSUCJ0ypG+Q4EBmZG50DXeHjWqGqQRA6weNGcIE2QvoTBG33Vqg20d4L2RhcxXQZkI7jXEGunGlzQERdcyJ124KDIhE1sXydKAMw7g3MAYxrgc6XzgKGjZsKIzEisZ0VWZu3LghdNAYF4Uwks4ci+VofOCudnUhGIZhGIZhGMaT8eiQegzDMAzDMAzjDrBRzTAMwzAMwzA2wkY1wzAMwzAMw9gID1Q0kZABKS8xcMld0/oyDMMwDMNUZjQajRhojggsUrIdV8JGtRFgUCMbGcMwDMMwDOPeXL16VS/bratgo9oIUmgtpF6W0s8y7oNCoRApgnv37u01sS29Ba4b94Xrxr3h+nFfuG7cl8zMTKpbt67FIVEdBRvVRpAkH6gkxFFk3O8BFxISIuqGjWr3guvGfeG6cW+4ftwXrhv3rhvgLlJd1wtQGIZhGIZhGMbDYaOaYRiGYRiGYWyEjWqGYRiGYRiGsRHWVDMMwzCMmeG7lEolqVQqh2hD/fz8qLi42CHbZ6yH68a1+Pv7k6+vL3kCLjWqFyxYQN999x2dOnWKgoODqXPnzrRw4UJq3Lix3kPs5Zdfpk8//ZSysrKoQ4cOtGTJEmrWrFm5296wYQO98MILdP78eapfvz69/vrrNHToUCccFcMwDONtyOVyunHjBhUWFjpk+3jXJSYmitBg7jLoiimF68a1+Pj4iHB5YWFh5O641KjetWsXPfnkk9S+fXvR+p83b54Ik3bixAkKDQ0Vy7z11lu0ePFiWrlyJTVq1Ihee+016tWrF50+fdpkCJW9e/fSyJEj6dVXXxWG9Pfff0/3338//fnnn8IoZxiGYRhLEoIhxCq8ZUgyERAQYHfDF/vIz88XhoM7JLFgbsF149oGTVpaGl27do0aNmzo9h5rlxrVP//8s97vFStWUEJCAh06dIi6du0qTuZ7770njO1hw4aJZVatWkVVqlShNWvW0KRJk4xuF+vA8J4zZ474jU8Y8Ji/du1aJxwZwzAM401eahhWSAqGcJ6OANvHfoKCgtiodjO4blxLfHw8Xbp0Schw2Ki2gJycHPEpJVyBZyA5OVl4ryUCAwOpW7dutGfPHpNGNTzV06ZN05vXp08fYVQbo6SkREwSubm54hMVKMVAZNwHqU64btwPrhv3hevGtnMHJ49kYDkCafv4dNQ+GOvgunH9+ddoNEaNanezA9xmoCJO2LPPPkt33XUXNW/eXMyDQQ3gmdYFvy9fvmxyW1jP2DrS9oxpu6HbNmTHjh0O80owtrN9+3Y+jW4K1437wnVjORhACL0z5BnwJjuSvLw8h26fsR6uG9cgl8upqKiIdu/eLaTCujhqjIPHG9VPPfUU/fvvv0L3bIihdg0GeEV6NkvWgTwEBr2upxrdfN27d6fY2FgLj6RykZqpopwCNUWGyighxjlaJ7RMYRhA4sMZFd0Lrhv3hevGehCRAwMIoXeGPMMR4B0Fow1jhXigonvBdeP6+y84OFjIgg3vv4yMDHIn3MKofvrpp+nHH38UrRCM8JSAZwDAw1y1alXt/NTU1DKeaF2wnqFXurx1ICnBZAgMNjbaTJOSqaRHXk8luZIowI9o1fxqVCXGeZcU14/7wnXjvnDdWA5C3MHQxQBCewwixLMzJ19NkWEy7TNTknxI+2HcB64b1yKTycR9YezZ5W42mszVrT94qBFW7/fff6e6devq/Y/fMJB1uyvRDYBBhwi/Z4pOnTqV6eLctm1bueswloOXAgxqUS/K0t8MwzBM+Qb1uPnXafKbyeITv72Rjz/+WLzD4Vls164d/fHHH+Uuj3CFo0aNEiF1YURNnTrVaWXduXMnDR48WDjvEHmsdevW9NVXXxldFpHIOnbsaJPXdfz48dSiRQshKxoyZAjZChySAwcOFJFpYHxu3LjRrPVgS6FuUEf16tWjpUuXkj24cuWKKA/OZVxcHD3zzDMmZVPnzp0TvTNRUVHkDbjUqEY4vS+//FJE8sBJhXcZE7QzABcHbqw33nhDhMU7duyYuBihc8bNJzF27FhtpA8wZcoUYUQj5jViYOPz119/depN6s3gJXDmipyuJOsPEMBvzPfWlwTDMIytVAZnxPr168X7FpG7Dh8+TF26dKG+ffsKY8sUCBaAKA9Yp1WrVk4tLwIftGzZUuS3gAx1woQJwq7YtGlTmWXRqw4D3JZeD0gZYGj27NmT7EFBQYE4Zx999JHZ6yAQRL9+/UTdoI7mzp0ryoRzYAsqlYr69+8vygQ577p168Q2p0+fblSS9uCDD4oyeA0aF4LdG5tWrFihXUatVmteeuklTWJioiYwMFDTtWtXzX///ae3nW7dumnGjRunN++bb77RNG7cWOPv769p0qSJZsOGDWaXKycnR5QjPT3dDkfpXSRnKDR9nr6s6f64/nTPE7e+438s5yjkcrlm48aN4pNxL7hu3BeuG+spKirSnDhxQnzqvpsKi1VmT5dulGj+PVuk2fJXnt6zE78x/0JSkeZGSqYmv1BR7nawX0vA8gsXLtTUrVtXExQUpGnZsqV4PzqSO+64QzN58mS9eXgPz54926z18U6fMmWKVfuuXbu25tVXX9WMGTNGExoaqqlVq5Z4X6SmpmoGDRok5jVv3lxz4MCBcrfTr18/zcMPPyy+q1QqTVZWlqagoECsf+zYMbvsC3bL4MGDNfYEtsv3339f4XIzZ84UdaLLpEmTNB07dtSb9/nnn4vlYH/BplqyZEm52926datGJpNpkpKStPPWrl0r1odtZViG0aNHC5svMjLSovtPAnYajtlw267Czx3C1JQHvNXz588XU3ldN4YMHz5cTIzjvCy6qHWqUvK+VCmNjMgwDON1FMs11H/aNZu3886XmQZzyo/+seXdGhQcaH7imeeff15ILD/55BORPANSgdGjRwuvMMLTGmPy5MmiF7k8kKStVq1aZeajmx+5JmbPnq03H6Fx4RF2Bu+++67o4UZWZXwfM2YM3XnnncID/fbbb9OsWbOEJ/r48eMmB4UixG/Tpk315v32229Ckqqb0dke+zIEUhl49ssDnmVM1oLQw7rhiqXQw8uXLxceZGiVP/vsM3rppZeEB7xNmzbCoz1x4kQh6xg3bpzJ7TZv3lxIUXS3i54IXBcIAAEg+f3mm2/oyJEj4vr0FtxioCLjOWBgDQYlGhrWeFZIbST8j+UYhmEY14EueGQkhgGDsUYA2ll0y//vf/8zaVS/8sorNGPGjHK3rWs06ZKeni4kAJaEtbU3kDVIeSxefPFF0aBA5uYRI0aIeTB0cT5SUlK0ARF0+fbbb+nAgQPiHFUk/bB1X8a4/fbbhbFZHlI+D2sxFXoYIetQh9CXIyv1okWLtMn3oJFHYwrnxZRRnWxku9HR0SILqVT/iNgBKS8abhEREeRNsFHNWARGqiPKBzzRv/6dT9/+ni/mw6CeOz6WaiX6641oZxiG8UaCAnyE19gcUrOU9NgbyaRQ6jshdJ0R/n5Ei54Kpbo1I8uN/oH9mgsMIAyMQ/hRQ28yPI+mQGZjTLZgTShcewF9tIRk4GFgoOE8RAUzNHTR8w2DD15aXY80yr9582ahEbbXvkwBzXWDBg3I0RirI2k+UoMjjOQjjzwivNMSMLojIyPFd3jTpQGotWvXFt54Y9uVti3Nx/YwLg4h8rwNtnwYi4HBDGnHH0f0H/wwqBvVCuAzyjCM1wMDwVwZRu3EAFp90xmBAd1vrMwo44wIDyEK9iuk4ED7hO3TDQW3ZcsWql69ut5/xsLI2kP+gWgPyHpnSVhbe6MbZk0y5IzNM8xciWgYiFoB7z4kG7pAuoDGCBLU2WNfrpZ/mAo9jIgkyM+RmVkqS0LjokOHDnrLSVkNly1bpg0sIR1zYmIi7d+/X2/5rKwsISmR6h89J/D6v/POO3pZRLHvTz/9VEhnPBU2qhmrkStuCal9ZSz5YBiGqcgZYYjkjIBRkZtr3/N32223CeMZUTdMST3sLf9ANz/CtCGs7dChQ7Xz8duWqBmOBh7qAQMGiGhhjz32WJn/t27dKqQehmmyHYEz5B+QpBhGN0HUNOwbBjIMYDTELly4QA899JDRbRg21KTtvv766yJEopRfBNvFdYjrQtJdQyIk8cMPP4jzDs29sW16EmxUM1YjV94yqvvfGcaSD4ZhGAvGpTh6/AlC1cI4njZtmjDa4WVFxmAYL8gOaUoXa6v8AxmKMWAPBhqMLHgfYdjDAy6BMLhJSUm0evVq7TzJkEQ6eMgP8BtGOhoHjjaoEQYO4Xjvu+8+rQcX+5aM159++kk0NuwBvPzwesMbjCya0nEjPrY18g+cL8R71g2Xh22i7FJvguH5Rl1gACLqCnIMGLoYpLh27VrtdhAgAmH2oHuG5xyDDQ8ePCg8z7pZqHXp3bu3qC/UPwZq4hhxDWIfkn7acAAotoneGQxw9HTYqGasJitXpTcSninli605tHJzDo0fGElj+kbe+j0gksb0K9WiMQxTOdEdl+KM8ScYbAYDecGCBcLriCQbbdu2tUk6UBEjR44Ug9FghMJjCWMJnl7obiUw3zButa7OG3IL5LDAOpcuXdIav4geAaOxTp06disvEroUFhaKc4RJAt597PP8+fNin4hiYQ/g8b58+XKZ4zYnIpoxYJRKUTWAZPCi0YRjM3a+MegQdYIG15IlS0TPwwcffCAaFRKPPvqoyAsC43jmzJki6gf04uXl/PD19RVyoyeeeEJEQUEDAfppSerh7fggrp6rC+FuoCUPIT5GwEJbxBhnyuIU+u9cifjetnEgvTPFOXo5aLOkrjh3S1EKA3rF5hztb5yXf06XniPwsJcb1u5cN5UdrhvrwWA/GFVShkBHUCr/yBXePE5TbhwYiJAWwNPrzOcLImD8/PPP9Msvv3DduNn9l5GRIXT8CIHoDpFEOO4ZYxdPdUbOre+VGXikddE1qI39zzAMw5gHDFvEhHZ2gx06X3h0GaYiWP7BWE1W3i1DOp2NagEkHrqeakMgCWEYhmEsxzCcnbO4//77RS8Cw1QEe6oZqyN/FBTdUg7he1GJ+SGDvBVIOyD5MEa7JkFCY80wDMMwjPfBRjVjk5caCQukZASZ7K0WmmpDyYfEoVPF9MVPLP9gGIZhGG+EjWrGJj11dLgvxUaWxu1kCUjFmumVm9ioZhiGYRhvhI1qxiqy8tRaozou6qZRnc2DFaGp1qVNo8By/2cYhmEYxjvggYqMbZ7qCBmFBJW2zTgCSKmmWq3R0KotpYNaGtcJpBKFhk5elHOcaoZhGIbxYtioZmzSVMNTHRbCRrUuQ+8Op9OX5XTphoLWb88lRIJf/0Y1io/i241hGIZhvBV+yzM2eqp9tWl2WVNdSkSoL73xRGmK30VfZVB4qC+VDuVkGIZhGMZbYaOasVFTLROGNchgTXUZpj/EGTkZhtFHcS2F1BnZJIuNIv8azslEyzCM4+GBiozNnmop+gdrqkvRQO/BMAxjwqC+2nEUXev5qPjEb2/k448/1qaVbteuHf3xxx/lLr9z507y8fEpM506dcrhZcW+Bw8eTFWrVqXQ0FBq3bo1ffXVVyZTpXfs2NGmlNvjx4+nFi1akJ+fHw0ZMoRsZffu3TRw4ECqVq2aOGcbN240a71du3aJukEd1atXj5YuXUr24MqVK6I8OJdIIf7MM8+QXC43uuy5c+coPDycoqKiyBtgo5qxWVMdp2NUs0FJNPnNZHr09Rt07mrpQ0Sl1tDlGwo+NwzDCA+1pqT02YBP/PY21q9fT1OnTqV58+bR4cOHqUuXLtS3b19hbFXE6dOn6caNG9qpYcOGDi/vnj17qGXLlrRhwwb6999/acKECTR27FjatGlTmWV//PFHYYBbi0qlouDgYGFo9uzZk+xBQUEBtWrVij766COz17l48SL169dP1A3qaO7cuaJMOAe2oFKpqH///qJMf/75p8iCiW1Onz69zLIKhYIefPBBUQZvgY1qxib5R1S4jGJvhtQrlutnWayMKFUaunhdQReSFGIAp0KpoSEzrtHDr95gzTnDeBFwIKgLisye5GcuU9H+f6nk2Fm97eA35uN/TWFxhdux1HGB5d966y3hiYQxB+Pr22+/JUeyePFieuSRR+jRRx+lpk2b0nvvvUc1a9akTz75pMJ1ExISKDExUTv5+pa+X8ylTp069NprrwmjOCwsjGrXrk0//PADpaWlCWMY8+AlPnjwoHYdGJSvvvoqde7cmerXry+My3vvvZe+//77Ml7mbdu20aBBg6zeF7y3OA8TJ04Ux2cP0GBBOYYNG2b2OvBK16pVS9QN6gh1hcbEO++8o7fcihUrxP/wZjdp0kT0QJTHtm3b6MSJE/Tll19SmzZtRMNh0aJF9Nlnn5VJ9f7888+LbSINvLfAmmrGKsMxt6DUqI6J8KWgABmFBftQfpFGGI5SNJDKiK+MaNVL1UTkjyoxvqIrLj7aj1QZSrqRruQIIAzjJcAAvlint83bSZu6UO93ZgXL1720jXxCg83ePgyX7777Thhy8PpCKjB69GiKj4+nbt26GV1n8uTJwigqDxhOMMoMQTf/oUOHaPbs2Xrze/fuLTzCFQFDDMbrbbfdJsrevXt3spR3332X3njjDXrhhRfE9zFjxtCdd94pjMa3336bZs2aJQzh48ePi2e0MXJycoQxqctvv/0mDOFmzZrZdV+GQCoDQ7k80BDAZC179+4VdaJLnz59aPny5cKD7O/vLwzhl156SXjAUS/waKMxgIbBuHHjTG63efPmQoqiu92SkhJxXUj1+fvvv9M333xDR44cEdent8BGNWO19EMmIwq/aUDHRvlRfpFCSEDqVPWvtGcVD82qcX5iknjnmQSKDJeRr4xjgDAM4zzQBQ+vMQyYTp06iXnwWKNb/n//+59Jo/qVV16hGTNmlLttXaNJl/T0dCEBqFJFfwAmficnJ5vcHvTMn376qdD4wgD74osv6J577hF6565du5IlQNYwadIk8f3FF18UDYr27dvTiBEjxDwYujgfKSkpRr3F8OQfOHBAnKOKpB+27ssYt99+uzA2yyMmJoZsAXVhrI6USqWoQ9QHvPfwMksecGjk0ZjCeTFlVCcb2W50dDQFBARo6z8jI0PoytFwi4iIIG+CjWrGYrJyb2VTlN00FKGrhm44I1vJZ9SAmJuac4ZhvAefkCDhNTYHZVIqXevxMGlKFKUz8NxUa259gkB/ivzhfYpqVI9k8FiUs19zgQEEr2+vXr3KeJPheSxPgoHJFgy9spChlOepbdy4sZgkYIhevXpVyBEsNaqhj5aQDDzIMAznpaamljF0YcTD4IOXVtcjjfJv3rxZaITttS9TQKbToEEDcjTG6kiaDwkLzj9kPPBOS8DojowszQwMb7o0ABXSl+PHjxvdrrRtaT62N2rUKIvr1RNgo5qxYZDirQe/FAGksseq/mlvPmnURHc0C6I4TvbCMF6LiE5hpgwjoFFtqrlvrRiUKD97mVIff7X0D7WGEj55gQIa1iaf6AgqjAgmWWhwuUa1JajVpQ6QLVu2UPXq1fX+CwwMNLmeLfIPRHuADtrQKw2j0tCDWRGIslFROYwB6YKEZMgZmyedH91oGIhaAe8+JBu6QLqAxshdd91ll325Wv4BA99YHSEiSWxsLGVmlgqR0Ljo0KGD3nKSzn3ZsmVUVFSkd8yJiYm0f/9+veWzsrKEpESqf/ScwOsv6bfF+AS1WuwbvRWQzngqbFQzNoXTk+CweqWs25ZLV1OU9NbT8VqjGg+Mz3/MoZOXSmj2uFg2thmmEiLiURuJSQ2DOrBV41Kjy2Agl61AlwzjGVE3TEk97C3/QDc/JBzbt2+noUOHaufjt6VRM6DhhQzBGcBDPWDAAFq4cCE99thjZf7funWrkHpYOnDSGpwh/0BPgGF0EwwyxL5hIMMARkPswoUL9NBDDxndhmFDTdru66+/LiK3SHWH7eI6xHUh6a4hEZLA4E6cd2jujW3Tk2CjmrEh8cuth0vczQgg6ZU4AQyM504tgikhWkF1qwXoeSr++rdIDF48c0XORjXDVGKQ8MUnMECE08MnfjsKxP+FcTxt2jRhtMPLiggMMF4QmcKULtZW+cezzz4rBuzBQIORBe8jDHt4wCXmzJlDSUlJtHr1avEbUSgQTQOSC3iE4aFGKDZbQ7yZa1AjDNyUKVPovvvu03pw0UCQjNeffvpJNDbsAbz8OEZ4g/Py8rQGNOJjWyP/yM/PF/GedcPlYZsou9SbYHi+URcYgIi6ghwDhi4GKa5du1a7nfnz54tIKNA9w3MOrTsimcDzjPWM0bt3b9GYQ/1joCaOEdcg9iHppw0HgGKb6J3BAEdPh41qxnpPtRH5R2VOAAPjefKwaKP/jewVTgolUcOat4xthmEqp8e65r41TsuoiMFmMJAXLFggvI5IstG2bVubpAMVMXLkSDEYDUYoPJYwluDphe5WAvN141bDyITxBcMPRiWMa8hW4B3WNX4RPQJGIwxwe4GELoWFheIcYZKAdx/7PH/+vNgnoljYAxzT5cuXtb8lfbu1eR5glOpGSZEMXjSacGzGzjcGHaJO0OBasmSJ6Hn44IMPRKNCAmH2QkJChHE8c+ZMEfUDenHEIDeFr6+vqLcnnnhCREFBXUI/bRiqz1vx0XC2jjKgJQ8hPkbAQlvE6PP6inT67UAhTR4WRff3LG15nrhYQk+9nUIJMb607jXHdt9AmyV1xelq1xjXw3XjvnDdWA8G+8GokjIEOgJ4kvHugTfPXppqbwMGIqQF8PQ689mPCBg///wz/fLLL1w3bnb/ZWRkCB0/QiC6QyQRvnMZGzzVZTXVmTkqUkuj2SsZBUXqSnvsDMMwjgaGLWJCO9uZAp0vPLoMUxEs/2Cs11RH3GqTIQkMUKpIJIaJ0jG4KwsLVmXQP6eL6bmHYqj77aFl/k/LVgpNdcsGQdr43gzDMIx5GIazcxbI+GeYDZBhjMFvdsYunmp/Px+KCpNVal311RQFFZdoTDYoZn6YRi8sTadj50ucXjaGYRiGYRwLe6oZi1CpNJRzM0W5bkg9EBvlS9n5ahGrun6Nyndilz9flZJSlVQl1rhR3bROgMj1gHPIMAzDMIx3wUY1YxE5+WrCAGUYh5E3PdMSyKp4/pqi0obV8/P1odrlpGh/bnRMuRnFGIZhGIbxXFj+wViVTREGte/NFOW6nurKLP+oCDaoGYZhGMZ7calRvXv3bpESFPERYXBs3LixbBpYIxNiJpYXcsfYOgjJwthOphE9ta6nGmRUQk/1z3vz6bON2XTqknl6aY5kyTAMwzDehUuN6oKCAmrVqpXI6mMMBCvXnT7//HNhIOsGJzcGYhUaruuo2KKVN/JHWaNaCqsHTXVlY+c/hbR2Wy6dvSovd7lPNmTRg88n0f7j3MhjGIZhGG/CpZpqpL3EZIrExES938gPj6xB9erVK3e7MLwN1y0PpN7EJCGFzkGyBEzMLdKzS43GyNDS86NLVJi0jNKh503atjvVzd1tAik+SkaNavqWW67MHCWlZKro5MUiatfY+4Y0uGPdMKVw3dh27tC7hAQtmByB1Hsl7YdxH7huXItajbFcGnEfImOjLu72rvGYt3pKSopIfblq1aoKl83PzxfpUFUqFbVu3VqkaZXSgBoDaUlffvnlMvN37NghUnQyt/jndDUiqkJZ6Vdo69a9+nWUE0xETeh6aqHIeOhotm/f7lZV0yCM6NTR0skU8X7BNOx2XwotwTny3henu9UNcwuuG8vx8/MTjhq8W5BO25Hk5eU5dPuM9XDduAa5XE5FRUVCMqxUKvX+Q3p5d8JjjGoY0+Hh4TRs2LByl2vSpInQVSM/PTzO77//vsg/f/ToUWrYsKHRdebMmUPPPvus9jfWq1mzpvCKc5pyfY5lZhNdKqK2repTv3taldFbr9uXSkVyf+rTpy/5+jom0gVapjAMevXqxWnK3QyuG/eF68Z6MCbn6tWrFBYWZpOU8MufcmnVllwaNyCCRt8bcet3/wh66N5wYbThPecNg5o/+eQTeuedd4T8slmzZrR48WLq0qWLyeWx3IwZM+iff/6hs2fP0tNPP03vvvuuU8q6c+dOeu+99+jAgQPi/Q9bYfr06fTQQw+J/+ElleoGtsinn35Ke/bssfpaevzxx8Vxnjx5kvr370/ff/+9TeWHsYlzjW3iPG7YsIGGDBlS4Xq7du0S5/z48eNibBu+T548mWzlypUr9NRTTwnHZHBwMD344INiLFxAQIB2GZxTXBOfffYZXb58mRISEsS+YY8ZO2fYTteuXY2mKXcnPMaohp4aF3hFD7SOHTuKSQIGddu2benDDz+kDz74wOg6gYGBYjIEqVCdnQ7V3cnJL+2ijIsqe27iov1IJkNXDVFesYzioxx7eblL/UDugpdgTITMK16G3lQ3TFm4biwHvZ64t2UymZis4YutObRyS6m0cOXmXPr3bAn9c7pUdijNH3RnqXzR2n24C+vXrxdpvT/++GPxDv7f//4njMcTJ05QrVq1TDb6YFjNmzdPGNPOPA/79u0T47tmz55NVapUEb3i48ePp6ioKBFMQZLjoEybN2+mwYMHW102GJPoAX/mmWeE8WuP44QXF73yEyZMEGPOzLlOL168SAMGDKCJEyfSl19+SX/99Rc98cQT4vgrGrdW0b0ycOBAio+Ppz///FMYvePGjRP/wQ6TwPFv27ZNNAbgBM3JyaH09HSj5cY8nCdjzy53e894xJ37xx9/0OnTp+nRRx+1eF1URvv27UXLl7FfSD1j0T8QYk9KV16ZIoCs/zWPRsxJomU/5Ji1/OnLJfTNbxUPamQYxv0pKlGLSTeij0KpEfPkilvzVm7Wfz5IBrUEPNbGtqtW25YsCuV66623xFgkePtgPH777bfkSOCBfOSRR8Q7u2nTpsILjN5feK9NUadOHdGzPHbsWIqMjLR639jOa6+9JraDngVIQTEeKy0tTRjDmAcj7uDBg9p15s6dK2SinTt3pvr16wuD79577y3jQYbHFIbgoEGDrN5XaGioOA8wZi0Z+1UeGJuGclTUk6/L0qVLRQMHdYM6Ql3BKIeRq8uKFSvE/3BoQgmAhlJ5bNu2TTSeYKhDdtuzZ09atGiR8EhL49Xgocc5wLnCuaxbt65oFGBZT8cjjOrly5dTu3btxMPAmgfKkSNHqGrVqg4pW6VNUW4k+oduBJDKFKs6v1AtkuFUjzfPM7/h9zz6ZEM27fuvyOFlYxjGsfSfdk1MSIwlsX57rpj3wdeZ2nnjB5RvKNappv/8GPXCdbGNy8m2DcR6/vnnhWEEIwbd/PAgjx49WnT9mwLd8DAIy5vQxW9K/3ro0CHq3bu33nz8tlYyYSnwdMNDfvjwYeEhHzNmjDB8cdyQSDRo0ED8Li+0KTynMTExevN+++03YQhDzmLPfRlzJFZ0/t944w2yhb1795apoz59+ogGgDT4D4Yweg5ef/11YQhjny+88EK5Y9v27t1LzZs3F3IS3e0iGASuC7Bp0ybRyIPXHwY1Gicw6jMzb90vnopL5R8Y9HHu3Dm97ggYwLiQpS4itGy++eYb0dIxBi7W6tWri8GGAAMOIf+AJgrrQvKBbS5ZssRJR+W9wGOCNOQgOtx4ewyxqk9XsrB6s8bG0rQHY0ht5kOzbZMgKpJrqGaie3VbMQzjOMb0i6RVW3LIlOO5bjV/h4Sthdf4999/p06dOol5MGbQLQ9JRrdu3Yyu98orrwh9bXnoGk26oAsfEgDICHTB7+TkZHIG/fr1o0mTJonvL774omhQoMd6xIgRYt6sWbPE+UAABGPeYnjyoa/GOdLlxx9/FB5oe+7LGLfffruwW8rD0OC3FNSFsTrCQEDUIRyR8N7D9pI84DCA4YXGeZEkHeZsNzo6Wuippfq/cOGC0FHDtlu9erW4XtDYGz58uLhWPRmXGtVoEWEwoIQ0WBCVhcGGYN26daKFB6G7MdBa1tXgZGdn02OPPSYqD11I6H6AiP+OO+5w+PF4O7kF6Ios/R5lRP5RWT3VIMAfWmrz9NT3dgoTE8Mwns+Wd2uIz6CAW/f/yF4RdF+PcL2ss9BUl6fkMOzpWvNqqdEaKJ4t1gEDCJIFDOo29CaXFxEL2mZMtmA4vgTvcWeNOWnZsqX2u2TgQYZhOC81NbWMoYtBi9BTw0ur65FG+eFZhU1ir32ZAjIdeLgdjbE6kuZDwoLBuZDxQKoiAaNbkudAdgKvOoD05fjx40a3K21bmg+NOjzXMKgbNWqkp0iA1Ldx48bkqbjUqL777rsr7BKBgYzJFLgBdEFXjLNGDFdWPXVEqIz8TET20KYqr0SaaoZhKi/BgWV77fz9fMSki6Gm2pAvf8qjoV0iyt2upUgD7DDwDj26uhgbnK8r/4AmtjxMDTqMi4sTsYQNvdIwKg09mI5Cd/CaZMgZm2cYDxySGAyyg3cfveC6QLqAxshdd91ll32VBwzV8nJ4SDpwTNYCA99YHSF8JKKeSVIMNC46dOigt5wUK3rZsmVikKTuMScmJtL+/fv1ls/KyhKSEqn+4QXHfiSDGkC3LTlK2ahmKgVZuaazKUrE3TSqK4v8A5kUdx4qoC6tQ+ie9qEWrVsiV5NSRRQa7BFDGxiGsQFoqlfoGNbtmgTRoVO3MqsirJ69ue2224TxDEPFlNTD3vIPdPPD44iwp0OHDtXOx29D6YQ7AQcdomEsXLjQqCMPuRcg9TBMPuIInCH/gCQF2mbDQYbYNwxkGMBoiEGqIYUWNMSwoSZtFxpshPaTxrJhu7gOcV0AaNDh8T5//rwYGArOnDmj9Xh7Mh4TUo9xp8gfpo1AaKork6f66Nli2n24iKrF+VlkVH+6MZu+/hXxaSNpTF/rR7ozDOM5mmrJYz1+YOl9L8Ls4feASBGnWoqOYC8QVxnGMfSq8JTCy4p9YMAgBruZ0sXaKv+AlBMD9mCgwchCXGcY9roxkBGPOCkpSUgAJCRDEuOtID/AbxjpaBw42qDGIMMpU6aIcHKSBxf7lozXn376STQ27AG8/PB6wxuM+NfScSMChjXyD3PGpxmeb9TFRx99JOoK8g4MMIQEY+3atdrtzJ8/X0RCiYiIEJ5zSDYg24XnWTe3hy69e/cW9YX6R2xqHCOuQewD2wGI8oFQx4g2gugjuDaffPJJIVPS9V57ImxUM2aD5C4VeaolTXVl8VT37hBKVWP96La6prtSjYGGCXoDr6a4V4pVhmEca1hLxrXhb0elJsdgMxjIGMwPryNiL8OgsUU6UBEjR44U8YlhhMJjiWgQ8PTqeiEx3zCCiK7OG3KLNWvWiHUuXbqkNX4xDgtGIyJG2AuM4UJmPpwjKegBgHcf+4RHFftEFAt7AI83BuoZHrclEUIsHZ9meL4x6BB1ggYXAjmg5wGBHXRjVCMiB2JqwzieOXOmCAcIvfjUqVNNlsXX11fIjRDzGh5pNBBGjRqlF6oP4+DgJUeCHyR0wXZhtJsKSOFJ+GisrUUvBi15CPExApYzKup7V9dty6Vh3cPpqRHRRs9dTr6Khs5MEt9/fr/mzQF89gXaLKkrzt0Cv5sLzlOJXEPx0b5elTDGG+rGW+G6sR4M9oNRBUPEloyK5QGjGu8eePM8PfmLo4CBCGkBPL3OfL7A2Pv555/pl19+4bpxs/svIyND6PgRAlHyhLsSvnMZi2NUx5Qj/8AgRn8/fc82U5bIMF9KiPHzKoOaYRjGkcCwRaxkZzfYoR2GR5dhKoLlH4zlmupy5B8wEiEBSc5QUXq2ihJjvfcSS8tS0o0MJdWtFkDhIdw+ZRiGcSSG4eycxf333293vTvjnbAlwFieTdFEjGqJuCi/ShGr+o8jRTR1cSq9tTrDqvWPnimm99Zm0i/78u1eNoZhGIZhnAsb1YzZZOVJIfXKv2y0gxWzlV5/dhNifKmOlZnQzlyV049/5NNfRzldOcMwDMN4Ot7bN8/YFYxnzc4zz1NdWbIqYsAmJmvH+rZpFET39wyn1g0dM/CJYRiGYRjnwUY1YxZ5haWJSspLUW4Yq7qyhNWzdrBhg5oBYmIYhmEYxvNh+QdjUTbFsGCfCsPkVRZPNcMwDMMwjAQb1YzdIn9IxEZ5f1bFf04X02Nv3KDPNmbbtB21WkNXkhV08brcbmVjGIZhGMb5sFHN2DXyh16qci/2VJ+/Jqdz1xSUlGZbRsQNO/Jo/Cs3RKpihmEYhmE8F9ZUMxZG/jDDqL7pqS4o1lBRsZqCg7yv7dbj9lCqFudHYTbGp25YM4AC/X2Ic8AwDMMwjGfjfdYO42BPdcWXTEiQjIIDfbx6sCJ043e2CqFWNkbuaFE/kDYvrkHzJ8bbrWwMw7gnmYtW0vmErpS1aJXeb3x6Gx9//LE2rXS7du3ojz/+KHf5nTt3ikHfhtOpU6ccXlbse/DgwVS1alUKDQ2l1q1b01dffWUyVXrHjh1tSrk9fvx4atGiBfn5+dGQIUPIVnbv3k0DBw6katWqiXO2ceNGs9bbtWuXqBvUUb169Wjp0qVkD65cuSLKg3OJFOLPPPMMyeX6EkdEzXrnnXeoUaNGFBgYSDVr1hTZMj0d9lQzdtdUS0bntVSlkIDUrOLclLKehK8vpylnmMoADOesN5eXfn9zGRXtOUxFuw+J35gPI8P30aHkDaxfv56mTp0qDOs777yT/ve//1Hfvn3pxIkTVKtWrXLXPX36NEVERGh/x8c73uGwZ88eatmyJc2aNYuqVKlCW7ZsobFjx4pywDjU5ccffxQGuLWoVCoKDg4WhuaGDRvsUHqigoICatWqFT388MN03333mbXOxYsXqV+/fjRx4kT68ssv6a+//qInnnhCnG9zt2Hq+Pr37y+28+eff1JGRgaNGzdOXN8ffvihdrkpU6bQtm3bhGGNBkZOTg6lp6eTx6NhypCTk4PAw5r09HQ+OzeZsyRF0/3xy5pNf+SZdU6mLU4Wy//6d77dz6FcLtds3LhRfLqCrFylZuuePM3pyyUu2b874+q6YUzDdWM9RUVFmhMnTohPQ1T5hWJSq9XaeeoSeem84lvPiHPxXTTn4u4yPcV30WRlZWlUKpX+dm/+thaUa+HChZq6detqgoKCNC1bttR88803Gkdyxx13aCZPnqw3r0mTJprZs2ebXGfHjh3ivYtzYAu1a9fWvPrqq5oxY8ZoQkNDNbVq1RLPpNTUVM2gQYPEvObNm2sOHDhQ7nb69eunefjhh8V31AnKVVBQINY/duyYXfY1btw4zeDBgzX2BOfw+++/r3C5mTNnijrRZdKkSZqOHTvqzfv888/FcoGBgZrGjRtrlixZUu52t27dqpHJZJqkpCTtvLVr14r1YVsB3Et+fn6aU6dO2Xz/wU7DMUvbdjUs/2Dsmk3RMAJIuhdGADl1SU5vf5FpdXpyQ/49V0zPfZBK73xln+0xDOM8LtbpLSZ1xq1IQNkfrRXz0ma/q50XPWtCudvxb1pX7/fldiPENhRnLttUvueff55WrFhBn3zyCR0/fpymTZtGo0ePFl3/ppg8eTKFhYWVO6GL3xjo5j906BD17t1bbz5+wyNcEW3atBEyjHvuuYd27NhhxRETvfvuu8JDfvjwYeE1HTNmjPA847j/+ecfatCggfhdXuIueE5jYmL05v3222+UmJhIzZo1s+u+DIFUpqLzb6tUYu/evWXqqE+fPnTw4EFSKEoH4H/22Wc0b948ev311+nkyZNiny+88AKtWrWq3O02b95cSFF0t1tSUiKuC7Bp0yYhN9m8ebOQCNWpU4ceffRRyszMJE+H5R+MRfKPGDOif3h7rGp/fx9q0ziQaiXaR9aiUhEdOlVMibHmnVuGYTyPmOnjKeutFYijafT/gCb17L5PyAIWL15Mv//+O3Xq1EnMgzGDbnlIMrp162Z0vVdeeYVmzJhR7rZ1jSZd0IUPCQBkFLrgd3JyssntwZD+9NNPhcYXBtgXX3whDGvonbt27UqWAFnDpEmTxPcXX3xRNCjat29PI0aMEPMg88D5SElJEUayId9++y0dOHBAnKOKpB+27ssYt99+Ox05cqTcZQwNfktBXRirI6VSKeoQ9fHqq6/SokWLaNiwYeJ/GMCQ8OC8QNJh7najo6MpICBAW/8XLlygy5cv0zfffEOrV68W1wsae8OHDxfXqifDRjVTIWhhawcqmqmpliKAeKNR3a5JkJjsRaNaATTtwWjxyTCMZ1H30jbx6RNy65kQ9dSDFDlpBPn43XpeisGIJgxq4Fe3ut7v2oe+Kd1ucKDVZYMBhIFxvXr1KuNNhkfYFAkJCWKyZ6ZZvEfKyz7buHFjMUnAEL169arQ3FpqVEMfLSEZeNDtGs5LTU0tY+jCiMdAQnhpdT3SKD88q+vWrbPbvkwBzTU83I7GWB1J89PS0sT5f+SRR4TuWgJGd2RkpPgOnbw0ALV27dqiJ8TYdqVtS/PVarVoOMGgxkBFsHz5ctGggqZe9zrwNNioZioEofEUSjI7+odeqnIvlH/Ym9BgGQ3sEu7qYjAMYwWy0OAy83wC/MWkS9bCz8vdTs7i1RQ7eXi527UUGC8AA++qV9c32hFxoTz5BwavlYepQYeI9uDr61vGKw2j0tCDWRGIslFROYzh73/r3EuGnLF50vmRgCQGAxPh3YdkQxdIF9AYueuuu+yyr/KAoQqDtTzmzp0rJmuBgW+sjhCRJDY2VivFQOOiQ4cOesuhfsGyZcuoqKhI75gTExNp//79estnZWUJSYlU//CCYz+SQQ2aNm0qPiErYqOa8WokL3VIkA8FBpipqZaMai/zVOu25BmGYcwFmmop+gcI7nY7Fe06qP0dNfNhu5/M2267TRjPMFRMST3sLf9ANz88jtu3b6ehQ29FM8FvS6NmQKcMA8wZwEM9YMAAWrhwIT322GNl/t+6dauQekgGpSNxhvwDPQHQNuuCaBzYNwxkGMBoiEGq8dBDDxndhmFDTdouNNg3btzQ1h22i+sQ1wWABh0e7/Pnz1P9+vXFvDNnzmg93p4Me6oZ88PpmamnBrFRflr5R0Xdfp7E9TQlTX4zmRrWCqBFUxLsdlz5RWr671wJlSg0dHfbELtsk2EY99JUSx7rmFmPUPT0caVh9hZ+LgzuqGljKTc31677DA8PF8Yx9KrwlMLLin1gwCAGu5nSxdoq/3j22WfFgD0YaDCyoJWGYQ8PuMScOXMoKSlJSADAe++9JwasQXIBjzA81Ag5Z6+wcxUZ1BhkiDBvCCcneXDRQJCM159++kk0NuwBvPw4RniD8/LytAY04mNbI//Iz8+nc+fO6YXLwzZRdqk3wfB8oy4++ugjUVeQd2CAISQYa9eu1W5n/vz5IvQfQgvCcw7JBgYywvOM9YzRu3dv0ZhD/b/99tviGHENYh9SqMSePXtS27ZtacKECaLecW0++eSTQqak6732RNioZiokK9f8bIoSsTejhMgVGsov0lB4iHcY1ZduKIQcBkawPRsKZ67Iad4naVQ11peNaobxYsNaMq4Nf1siD7AEDDaDgbxgwQLhdYyKihIGjS3SgYoYOXKkiE8MIxQeS0SDgKdX1wuJ+boRRGBkwviC4QejEsY1ZCvwDusav927dxdGIwxwe4GELoWFheIcYZKAdx/7hEcV+0QUC3uAY8JAPQlJ325JhBBdYOjivEhIBi8aTTg2Y+cbgw5RJ2hwLVmyRPQ8fPDBB3oxqhGRIyQkRBjHM2fOFMlcoBdHDHJT+Pr6inpDzGt4pFGXo0aNEtp4CZlMJrzkTz/9tNDLY7sw2jEo0tPxQVw9VxfC3UBLHkJ8jICFtqiys3FXHn2wPou6tA6mlx8zPxD/4BnXKK9QTcufT6S61ew3CA/aLKkrTle75gyUKg1dTVFQUYmGbqtr/QAiQ/IL1fT0ohRqXCuAnhsd47FJYVxZN0z5cN1YDwb7waiSMgQ6AhjVePfAmwejgykLDERIC+DpdebzBcbezz//TL/88gvXjZvdfxkZGULHjxCIukmDXAV7qhkLUpRbpiWDrhpGNSQgdY3L7zwOP18fuzYQJMJCZLTiBedoBxmGYTwRGLaIlezsBju0w/DoMkxFsFHNWJD4xTKjGmH1IJfgCCAMwzCMrRiGs3MW999/v9317ox3wn1MjAWeassuF29LAAPpx/Ifs+m3AwWkUjlONVUid4y2kmEYhmEYx8Geasb86B+Weqq9LKxeUqqSvvo5l4ICfah7O/tH6Lh4XU7Pf5KGeH301SteopdhGIZhmEoCG9WM+fIPSzXVUlZFL0kAg+RoA+4KI7VGQzKZ/QcSxkX50Y0MlXbgInTWDMO4Dzyun2H4visPNqoZCzzVlVv+UT3Bn54dZVvA/fIID5HRe88mUJ2q/mxQM4wbIQ2MQ9g1hAhjGMZ5yOVy8emMxDu2wkY1Uy5FJWoqLinVD8eEWyf/8Baj2hm0bOCYcF0Mw1gPXuaI74w0zgCxe+2d0Aoh9WA8IHwYh9RzL7huXHvu09LSxD2H1ObujvuXkHEL6UdQgA8FB8ksjv4hGdVqtWMkE84kt0BFEaHu31JmGMb+JCYmik/JsHaEtKSoqEh4wr0lA623wHXjWmQymcgM6Qn3hUuN6t27d4tMPYcOHRLZfr7//nsaMmSI9v/x48fTqlWr9Nbp0KED7du3r9ztIq3pCy+8oM0rj2DxQ4cOddhxeDPWRv4Q60T4YswdqdRE2flqirFwoKM7gcyQw2YlUQTiSb9YlSLDHHMs0FL/si+fUjJV9MTwaIfsg2EYy8ELvWrVqiI7IRLp2BtsE+9EZJjjxEnuBdeNawkICPCY3huXGtUFBQXUqlUrevjhh/VSY+py77330ooVK/RObnkgfz1SpCI1KwxpGOqIMfnnn38Kg5yx0qi2wiBGopSocJlIcw5vtScb1ckZSkLuUYVKQxGhjru5MQhyybfZ4vuYfpFCZ80wjHtJQRyh7cQ2lUqlyBjHRrV7wXXDeIRRjVzvmMojMDBQ2+1mDu+99x716tWL5syZI37jc9euXWL+2rVrbS5zpR2kaKGeWnewojCqs1XUsCZ5LLUS/WnLuzUoNVPl0C4oyEv6dQ6lhBg/IZlhGIZhGMYzcHtN9c6dO0V3GwaJdOvWTUg58Ls8T7VhOtE+ffoIo9oUJSUlYpKQMiehy8cR3XyeRHp26fFHhvlYdS5ibspGUjLlpFDY53KTyuHsuvH1Iaoa6/j9ThkZcfObmhQKz0oE46q6YSqG68a94fpxX7hu3BeFm71r3Nqohhd7xIgRVLt2bbp48aLQSffo0UNosOHBNkZycjJVqVJFbx5+Y74pFixYQC+//HKZ+Tt27BAjTiszR0/UIKJ4Sk8+T1u3mj6HpijMhXs6jvYdPEWUbfn65bF9+3a7bo+xH1w37gvXjXvD9eO+cN24H4WFheROuLVRDW20RPPmzen2228XBvaWLVto2LBhJtcz7J7HyN3yuuwhEXn22Wf1PNU1a9ak7t27U2xsLFVmDiVnEV0tpvZtG1O/Lm0tXj/TJ4+OXcun2Cr1qV8/y9c31TLFww0yH2dpDz/ekEORYTIacGeo+HQ0cqWGrqYoqX515xyfvXBF3TDmwXXj3nD9uC9cN+5LRkYGuRNubVQbgpHXMKrPnj1rchnorw290giBZOi91gVeb2OebxgFld0wyMkv1fXGRQVYdS7iY0oHlmbmqu1+Lp1VP8VyNf34R6EYqDioayT5+zt2wGVBkZqGzrxGShXRj+/U8MhEMHzvuC9cN+4N14/7wnXjfvi7mY0m87QWydWrV4VxbYpOnTqV6aLZtm0bde7c2Qkl9D6szaZomAAm3YMTwKjVRBMHR9HALmFWhRa0lNBgmYjxjSgjiDrCMAzDMIz741JPdX5+Pp07d077G7rpI0eOUExMjJjmz58vQu3BiL506RLNnTuX4uLi9GJOjx07lqpXry500WDKlCkizufChQtp8ODB9MMPP9Cvv/4qQuoxtsSptjL6h04CGE8lJEhGD/SWBg86h09mJQqj2hOC3TMMwzAM42Kj+uDBg0K3LCHpmseNG0effPIJ/ffff7R69WrKzs4WhjWWXb9+PYWHh2vXuXLlil5QcHik161bR88//7wY2IjkL1iHY1Rbl/CkoFhjdZxqKaQeyM5Tk1KlEbGrmYpxVHIZhmEYhmG80Ki+++67xSBCU/zyyy9mhdwzZPjw4WJibCPzppfa348oNMg6YzgqTEZo80BCAa93fLRHyfgFl28ohMc9LNij1FIMwzAMwzgRthIYsxK/WCtDkMl8KDbCs3XVs5ek0qDp1+j4hVuxzB2NSq2hD9Zn0lNvJ4vU5QzDMAzDuDdsVDMO01NLYNAdQFZFT5TASJ0pNas4z8vuK/Ohvf8V0YmLcjp3Te60/TIMwzAMYx2e1xfPOI2sPLVNkT8MddWe6KkO8Pehda9Xp/witdPlH2P7R5K/rw/VqepeIYMYhmEYhikLG9WMwz3VsR7sqZZwhZ66b6cwp++TYRiGYRjrYPkHY0aMahvlHx7sqWYYhmEYhjEHNqoZk2Tl3pR/hNtH/uGJsao//DqTFq7OoPMu0jUnpSro94MFVFTMgxUZhmEYxp1ho5pxuKfak43q3YeL6Jd9BVQsNx360ZFM/yCVXvs8g05f4cGKDMMwDOPOsKaacV70Dw8zqhFD/en7o0WcalcNFmxRP5CSIpSkYkc1wzAMw7g1bFQzZkT/sNWoLr3McgvUIkQdImp4AojN3bVNCFEb15Vh3sNxrts5wzAMwzBmw/IPxigKpYbyCu2jqQ4L9tEa0jxYkWEYhmEYb4SNasYo2Tf11L4yovAQmc0eX62uOlvpMWf85KUSOnNFTiVytVtIUTAxDMMwDOOesFHNlCv9iAr3FanGbUUKq+dJuurPNmbT5DeTaec/hS4tx9tfZNDw2Un071nnpUlnGIZhGMYy2KhmjJIpDVK0MZuiJ2dVjAiVicnVGQ0hw0Ej58xVjgDCMAzDMO4KD1Rkyg2nF2Nj5A9Pzqo4f2K8W0guRveNpAd7R1C96pyunGEYhmHcFTaqmfLD6dkY+cOT5R+SHtzVNKoV4OoiMAzDMAzjbPnHt99+a+9NMq4Mp2dj5A/DWNXpHuSpZhiGYRiGMReLLSalUknHjx+nM2fO6M3/4YcfqFWrVvTQQw9ZukmmEniqPU1T/en3WfTMohT684hrBylKHD1bTF/+lEMXr7OummEYhmE83qg+ceIENWrUiFq2bElNmzalYcOGUUpKCnXr1o3GjRtHvXr1onPnzjmutIzzU5TbS1PtYfKP4xfkdOx8icvSkxvy7W959PmmHDp4stjVRWEYhmEYxlZN9ezZs6lu3br0wQcf0FdffUXr16+nY8eO0ejRo2nz5s0UHh5uyeYYNyYr1z7ZFA2N6qISDRUWqykkyL0Dz0wbFUPnr8mpZcNAcgc6NA+moEAfqpXIgxUZhmEYxuON6r///pu2bt1Kbdu2pbvuuksY1c899xxNnDjRcSVkXOypto/xCyM6JMiHCos1QgJSy82NaoTRc3UoPV0G3BUmJoZhGIZh3BOLLJvU1FSqXr26+B4VFUUhISFC+sF4FyqVhnIL7Oup1osAwoMVGYZhGIapzEY1wovJZLdWwXd/f/fx5jH2ITtfTQjPjESKSH5iL7Sxqt1cV338QgntPFRAyRnul1I9v0gtJoZhGIZh3AuLLCYkwsBAxZiYGDHl5+dTmzZttL+lifGOyB+R4TLytUOK8jIRQNzcU/3Tnnx6ZXkG/bw3n9yJd9dk0qDp19yuXAzDMAzDWKipXrFiBZ+zSoC9I38Yyj/cPaxetXg/alongBrWdK+kK5KnPznd/TzoDMMwDFPZscioRtg8phLFqLazUe0pYfVG9YkUk7sxuGuYmCLD7FsvDMMwDMPYDqcpryQorqWQOiObZLFR5F+jSrnLZkrZFCPsG6EjNsrPI4xqd4WNaYZhGIbxEqMaMaoxWLE88P/58+dtLRdjZ4P6asdRpCmRk09gANXct6Zcw9pRnupb0T/cV76gVmtIZkcdOcMwDMMwlQOLjOqpU6ea/O/SpUv0v//9j0pKSuxRLsaOwEMNgxrgE7+pPKNa0lTbMZweiIu6panGoNeKGmiu4Otf8+ib33NpSLdwGtPX/SQg+/4rol2HC+n2pkF0T/tQVxeHYRiGYRhrjOopU6aUmZeZmUmvvvoqffLJJ9ShQwdauHChJZtknCD5kJ+9rDdf+m1KCiJlU4yxU+IXiZibRrpCSZRXqKaIUPfTBl+6oSg9fvfITl6GM1fl9Mu+AuFRZ6OaYRiGYbxAU11UVESLFy+mt99+m+rUqUPfffcd9evXz76lY+wi+dBDJqPUx18VX01JQRzlqQ7w9xFxr5FYBmH13NGonjIymoZ0C6MoO0tf7MUdtwUJg7p1oyBXF4VhGIZhGFuMapVKRZ999hm9/PLLFBQURB9++CGNHj3aLbvyKzO6kg/9P24lDjElBXFUSD1JVw2jGoMV65Um53QrgoNk1KROILkrKJs7l49hGIZhKisWGdVff/01Pf/885STk0Nz586lxx9/nAIC3CuWL0NaaQc80UYN65vgfyyni0qtoRxt9A9fh8RavnBd4faxqhmGYRiGYRxmVD/wwAMUHBxMDz74IF2+fJlmz55tdDnIQhjXAkkHpB3wRKfN+4BK9v+r/S/m+UkUcnd7o5pqeJHVGkRxIYoKs6+mWi9WtRtmVTxzRU4HThRR83qB1MqN5RUKpUZov/18iepW40YtwzAMw3icUd21a9cKQ+axDMR9EAZzjSqkztVPa1248wBFTxldbjg9aJ99fe0v6ZEigLhjrGoY1Mt/zKGe7UPc2qhe80surdqSQ73uCKE54+NcXRyGYRiGYSw1qnfu3GnXk7Z7924x0PHQoUN048YN+v7772nIkCHiP4VCIaQmW7dupQsXLlBkZCT17NmT3nzzTapWrZrJba5cuZIefvhhowMroQGvjCivp+r9Lv7zHyo5epoCWzUus2yWJP1w0EA9yVPtjvKPOtX8hUHdtol7XyeNagVQWLAP+fvzOAaGYRiGcRfs0r+vVCopP1/fG2oOBQUF1KpVK/roo4/K/FdYWEj//PMPvfDCC+IT0UXOnDlDgwYNqnC7ERERwkjXnSqrQa3CgMWc0rqptvljCul3l/ieuXB5+Ylf7JxN0TABDKJ/uBt3tgyhuQ/H0b2dwsiduaNZEP3wTg2a8VCsq4vCMAzDMIw1nmp4jTMyMmjMmDHaea+//rqIUw3DukePHrR+/XqKjo42a3t9+/YVkzHgmd6+fbvePEQaueOOO+jKlStUq1atciUoiYmJZh+XN6M4f1V8+lVPoOAOLcg37gkq/GUvFW7fS8UHjlFQ++ZOi/yhp6l2Q0+1p+DLGR8ZhmEYxrON6nfeeYfuu+8+7e89e/bQiy++SK+88go1bdqU5s2bJwxsRw1URNQRGMxRUfoRKwyB17x27doi/F/r1q1Fmdq0aWNyeWSB1M0EmZubq5WgYPJkis5cEp9+9WqKY/GplUihI3pTwbqfKGPBMkpY/7be8unZpccbGerjkGOPDC3NqpKZq6LiErlVBqJULnuWr0SuEZFPQoIc46GvLDiibhj7wHXj3nD9uC9cN+6Lws3eNT4a5Is2k4SEBPrll1+0Buqzzz5LJ06coJ9//lnryUbWxbNnz1peEB8fPU21IcXFxXTXXXdRkyZN6MsvvzS5nX379tG5c+eoRYsWwjh+//33RbmOHj1KDRs2NLrO/PnzRdxtQ9asWUMhISHkyVT57g+K37qfMrq3phsP9RTz/NNzqOG85SRTqenCcyOpsHFN7fLb/qtFJ6/HUueG16l9vRS7lwdhsj/c3ho1To/e/R+FBirJHTibHEVbj9aluvE5NKjtBXJ3LqWF04ELiRQXXkTdb7vm6uIwDMMwjNOBVHjUqFHC6Qrpr0d5qvPy8ig29paO888//6Thw4drfzdr1oyuX7/ukJYIwvmp1Wr6+OOPy122Y8eOYpK48847qW3btkI68sEHHxhdZ86cOaKBIAFjvGbNmtS9e3e94/VE0r7bT0VEVL/7ndRGJ+Nl5skUyl/1IzXdfYISpj6mjdry15VMousl1PH2ptSnYzuHlOmr/SmUmaum1rd3p4Y1/a26HiAN6tWrF/n7W76+Mb7+LZ/oaB41qJtI/fo1IXdn37Fi+uGfLPIPiqJ+/VqSu+CIumHsA9eNe8P1475w3bgvGRkZ5E5YZFQj6sbJkyeFnhkSC3h/3333Xb2Ds7dnFxfz/fffTxcvXqTff//d4paITCaj9u3bl+s9DwwMFJMhMAo83TBQXUwSn0EN6+gdS+z08VSw7mcq2f8fKfccFXGrQXZ+afSPuOgAhx17XJQfZebKKafAx6Z92LN+Hro3mgZ2iSC5QkP+/hYnGnU6LRvKaPY4GTWu5bh6sgVvuHe8Fa4b94brx33hunE//N3sPWORgBRe6alTp9IXX3xBEydOFIMBdb3CBw8epMaNy4Zps9WghkH866+/WuU1hrrlyJEjVLVqVapsaNRqUlwolQYENNAf2OlXNZ4ixg8W3zMXfCbOE8jKLTWqYxyQTdHdBytGhPoKg98TiAzzpd4dQql2Vfd6oDAMwzBMZcUiC+Kll14S8o5nnnlGGNTQNvv63jK+1q5dSwMHDjR7e/B2Q/8sAW80DOCYmBjhFYcRj3B6mzdvFoMOk5OTxXL4X0qPPnbsWKpevTotWLBA/IY2GoY+9NOQcUDygW0uWbKEKhvKpNTSNOX+fuRXUz9zIoh6ZjTlfrGJSv45SYXb91Bwz86UrY3+4bgBe7fC6rmHnpphGIZhGMapRjWkHfBSm2LHjh0W7RyebeiWJSRd87hx48TgwR9//FH8RgQPw/3cfffd4jvC60HiIZGdnU2PPfaYMMARlg+DKpFkBqH4Kms4Pf+61clHp/Ej4ZcQQ5GPDKPsD9dQ5pvLKbzjHaQqdVRTlINC6oHYKPdKAJOUqhBZCpvUCaCBXcLJU0AD6MjZ0qg1d7f17AG1DMMwDOPpuLSvG4ZxecFHzAlMYpjlERpvXZ13ZUZx7or49K9/K7qHIVFPjaKcFRtJ/t9Zytq4m4gaUniIjPz9fBwv/3CTBDCnr8jpp70FdDlZ4VFG9fGLJfTKsnSqV82fjWqGYRiGcTEclLcSeKoDyjGqfWMiKWrSiNLlP1pJPhq1Q6Uf7qiprlvNn8b2i6A+HUPJk0C6cgxUbNEw0KwGKMMwDMMwjsMzRmUxViGX5B/1TWefBJGPj6ScZRuILl6i9gl7qaRRD4ee8fgodzOqA8TkacRH+dEnszlzKMMwDMO4A+yp9mIUFySj2rSnGvhGhlPUEw+K74OOf0cxDpbnSp7qrDw1KVXsYWUYhmEYxvNho9pLUReXkPJKsllGNYh8bDjJwyKoSn4yNTsFbbXjiAiVkd/NcZCu9lYrlBo6d1Uu4lN7MoXFN0eYMgzDMAzj3vIPU9kIjYGQe4xrUV66jpGeJAsPJd/46AqXl4WF0Onuw6jFppXU+Of1pFk4hHwCHBMDWSbzoZhIX0rNVAmjukqM61RIF68raPKbyUJHvmFhDfI0TlwsoRf/lyaitSybV/lisTMMwzCMu2C2NWNuRA2ku2aj2o301A1qaVOQV8Shlr2p5vaNFJWeQrlrt1LkuNLkMI6KVQ2jOt3FEUAQlg7RTmpW8cwkKtCnI+V7XqFaeNsD/B0XtYVhGIZhGDsY1UjMwnhgjOr65ntf04v96acmg+jBI6spa/FqCh95L8mCyqZv96YIIHc0C6aNb1en4hLPlH/ERfnSkueqUN3q/mxQMwzDMIwLYU11JY5RbUhWnop21+tOmoR4Ul1PpdzVmxxWPncxqgE8+cFBnnkroOxN6wZSUIBnlp9hGIZhvAWrxazXrl0TGQ+R0VAul+v9t3jxYnuUjbGLp9o8oxpxjmFUK30DKPDJMSR/aTFlv/cFRYweQLKQIId4WN3FqGYYhmEYhnGJUf3bb7/RoEGDqG7dunT69Glq3rw5Xbp0SRhmbdu2tblQjO3Ib4bTC6ggRrVEQZGGFMrS7wnjB1Dy52tJefkG5Xz+HUU/NcohmmrgSk11UbGaZn+cRnWr+tNT90eTn69n6pHRGPrpr3zKKVDT4/dVPCiVYRiGYRj7Y1Wf8Zw5c2j69Ol07NgxCgoKog0bNtDVq1epW7duNGJEaXY+xnWosvNInZ4tvvvXM09TnZlXatyGBvlQYIg/Rc94WPzO/nANqfML7V7G2KjS9ly6Cz3Vl5IV9N+5EvrjaKHHGtRAodDQsh9zaMOOPCqRc2g9hmEYhvEYo/rkyZM0btw48d3Pz4+KioooLCyMXnnlFVq4cKG9y8hYmfTFNzFOhMozNwoGiI4o9SCHD+8lpCPqzBzK+fRbx2mqs2+6x11AtTg/mjMulh4eEEWeTHy0L/XrHEqPDo4iFdvUDMMwDOM5RnVoaCiVlJSI79WqVaPz589r/0tPT7df6RjnDVLMLbXGosNLjV0fPz+KnjlBfM/+eC2pcvIcIv/IL9JQsYu8q5FhvtSrQygNuCuMPBkMVpwxOpYe6BVBIR464JJhGIZhPB2r3sAdO3akv/76S3zv37+/kIK8/vrrNGHCBPEf41oU56+JzwALI3+A6Ihbl0TYkB4U0LQeqXPyKeeT9XYtY2iwDwXejKnMgxUZhmEYhqmURjWie3To0EF8nz9/PvXq1YvWr19PtWvXpuXLl9u7jIzViV8s8VSr9DzVwEcmu+WtXvo1qTJKddr28q66OgLInn8L6UqyglRqz4xRbSxV+enLpT1IDMMwDMN4QPSPevXqab+HhITQxx9/bM8yMU4Opwey8tR6mmqJ0P5dKaBFQ5L/d5ayl6yl2Bcft6uuOilNSRkuiACSX6im55eWSpV+XFSDwoI9d6Ci1DC5f24SyXyItrxbkxPBMAzDMIwneKphVGdkZJSZn52drWdwM85Ho1ZrBypapqmWPNWyMh7lmNmPiu85yzaQMqVsvVtL7E1PtSsigOQUqKhxrQCqVcWPwoI9X4ccEyGjiFAZxUT4UmqW6wZ/MgzDMExlxSpPNWJSq1RlDSEMXkxKSrJHuRgrUSWnk6awmMjPl/xrVbNcU60j/5AI6dWJAm9vRiUHj1P2B19R3OvPeHys6urx/vTJ7EQRW90bQOPny5erUagXNBAYhmEYxuuNamRQlPjll18oMjJS+xtGNpLC1KlTx74lZKzTU9euRj7+fpZ7qg3kH7re6hvDp1Huqh8o6skHyK9aglekKsexeQtsUDMMwzCMhxjVQ4YM0RoiUpxqCX9/f2FQL1q0yL4lZByupy5PUy0R3LUdBXVqRcV7j1LWu6sp/u0ZXmFUMwzDMAzD2AOL+orVarWYatWqRampqdrfmCD9QMryAQMG2KVgjPNiVCNdd7FcY1RTbUxbnfvVFira/x+VHD1NimspNss/XGFUP/bGDXrug1RK8yL9MbIpvvNlBk1+M5nkCu+QtTAMwzCMV2uqL168aP+SMC7zVEspyoMCfSg40HQ7K7hzawq+uz0V7TxA1wc9hVYW+QQGUM19a8i/RhWLyxqnM1AR2mZnSTFy8lV07poCZ8srBilKBPj70J9Hiyi3QE0XkuTUpE6gq4vEMAzDMJUGqy2KXbt20cCBA6lBgwbUsGFDGjRoEP3xxx/2LR1jfeKXBrWszqZYHjGzHyn9oi5dR1MiJ7WV8atjbnqqi0s0VFjsPM8qsg5+9FwVmvdwLAV7UQZCNEomDYuilx+LoxoJ/q4uDsMwDMNUKqyyKL788kvq2bOniFH9zDPP0FNPPUXBwcF0zz330Jo1a+xfSsYsNHIFKa7csCJGtfFweoZA6oH05YhbrYv87GWrpCDwiiOzorMjgPj7+dBtdQPpnvah5G307RRGXVqHUFiI9zQWGIZhGMYTsOrNi5Tkb731lsiiCKN6ypQp4vubb75Jr776qv1LyZiFMKhVKvIJCSbfKrF2ifyh3fa1FLracRRd6/moSASjReZDqY+/Kubjf0sNa1fqqt2FzEUr6XxCV8patErvNz4ZhmEYhvFio/rChQtC+mEIJCCst3aHQYo1LNInayN/lCP/gMQDUo+yf9ySbVgjBZEigDgzAcyvfxfQ3v+KqKCo9LhdCQznrDeXE2k0lPnmMrp+31Ttb3xaalhDm37+mpx+2pPPgxUZhmEYxt2N6po1a4qY1IZgHv5jXDtIMcDScHomsinqIouNEoMStRgx2vE/lnPnsHowOj/6JovmfZJGN9JdH/kja+Hner+Ldh8q939zmP5+Kr39ZSZdvG6kEcQwDMMwjOujf0yYMIHef/99mj59upB9HDlyhDp37iy8on/++SetXLlS/M+4OPGLBYMU9TTV5cg/EN0DUT7giYaGGpIPiainRlHYkB7CoLY0CkhcVOklmJHtHANXoSS6vWkQXbqhoFqJrh/MFz1rQqln2gQxs24ODDUT3IutGwVSbr6alJVXUcMwDMMw7m1Ur1q1SuimH3/8cUpMTBSJXr7++mvxX9OmTYWuevDgwY4qK+PoxC8VRP8QBrMRo7nk9EWKbdXYqvpxtvwDYeeenxBH7kLM9PFU9Mc/VPzX4TL/BXe7naKn6ydZMof5E+PtVDqGYRiGYRxiVKPrXGLo0KFiYjw78Yv+QEXz1ECSFETSWBf9+Q+pC4tJFhJkdazqyjpQ8ca4uUYNalC066AYvGiNYc0wDMMwjJtrqp2VoIOxDHVeAalSM630VKvMjlOtKwWp/utn5Fs9gaiohAp/+cs2T7WTQuqpVO6TaVCjUlHh1vJju2cuNC0NqQi1WiMmhmEYhmHc0Khu1KgRxcTElDsxzkdxoTTpi298DPlGhFmU2lpKvFKeptqYYR3UqgmF33+v+J23YTtZg+5ARd2eEEcx7b1UeuiFJDp6tphcjY+vL0U+PaqM5MNQc20NL/4vjQbPuHYzcyTDMAzDMG6Xpvzll1+myMhIx5SGsX2QopV6an8/otAgy3shwof3oux3V1Phb/tIlZlDvjGWXRsxNw15DKpDeu3IMPMNe0uB0X4xSU4FxRqKCHVNcpTiA8dIfvoSRYweIH7Hvfg4yUKDRZQPDEqE1EOE2Vv4uTCoobnO/ngdBbZqTMF3tjF7P0UlGnGcZ67IqVEtnagtDMMwDMO4h1H9wAMPUEJCgl12vnv3bnr77bfp0KFDdOPGDfr+++9pyJAhekYQjPhPP/2UsrKyqEOHDrRkyRJq1qxZudvdsGEDvfDCC3T+/HmqX7++SFbj7fpv3RjVlqCb+MUaaU9AozoU0LwhyY+dpfxNOyly3GCLBw5GhskoJ18tJCCONKpxfF+8XE1E/nBFGu+SkxcoafDTIra3f8NaFNyhpZgPwxmThO7vwt/2U8ZLS4j8fKnmn6spoL55kV0mDomiyTKiOlVdH+GEYRiGYSoDMlfqqQsKCqhVq1b00UcfGf0fWRsXL14s/j9w4ICIONKrVy/Ky8szuc29e/fSyJEjacyYMXT06FHxef/999P+/fvJm7E28kemhXpqU95qkG+lBMSZgxWjwn2pdaMgkarc2QQ0qStCD4b2vYsCmzUwa52gTq3EOpGP3me2QQ3gna5fI4B8fXkMBMMwDMO4dfQPe9C3b18xmdrXe++9R/PmzaNhw4ZpQ/pVqVKF1qxZQ5MmTTK6HtaB4T1nzhzxG5+7du0S89euXUten/jF0hjVuVI4PevlEGFD76GMlz+h4r1HRZpyS2NVQ1d9/prCKyOAKJPTyRfRUvz9RKM04b3ZQmtjbgMVEVUSPp2PUYfaeeriEhF5xTcy3IElZxiGYRjGYUa1WufF7miQ7jw5OZl69+6tnRcYGEjdunWjPXv2mDSq4ameNm2a3rw+ffoIo9oUJSUlYpLIzc0VnwqFQkzuDhogkqbap3ZVi8qckV0aFi8qzMf6Y42PpsBOrahkzxHK/XYbRTz5gEWrx4SXGpgpmXKzyiAtY2l5t+0vpIIiDXVoHkjV4ixWPllM8f7/KP2x+RQ6pAdFv/xk6UwcqtLKRDdqtajrjGcWkPzfMxS/6nXyr2da7nPgRDEduyCnXneEUI0Exx+vLXXDOB6uG/eG68d94bpxXxRu9q5xzpvWCmBQA3imdcHvy5cvl7uesXWk7RljwYIFQrttyI4dOygkJITcHb+cAmqSX0gaHx/69cRR0pw9bva6R07CKIunjNSLtHXrDavLEN0ggarvIbqx6nv6s26ERetmpiYSUVU6/N9FilaVRjExh+3bLZObrN3biFJzQ+nqxQvUoEoOOZrww2epdloWpf60m/a1rk4a3TTvVuKXnU/1d/5NfrkFtGfjZipoYrpn4ruD9elqRgSlJZ2k5jUzyJlYWjeM8+C6cW+4ftwXrhv3o7CwkNwJtzWqJQy7yeGpq6jr3NJ1IBF59tln9TzVNWvWpO7du1NsbCy5O5BdpEJPXSuR+g4eZNG6/6RkEV0ppttbN6J+3cyPLmGIunMXurb2dwq+lkY96zUV+mGz1/2zgP6+kEuhkTWoX7/SwXsVtUzxcIPMx9/f/IF4uf75IhrGiIEdqKoTPNXUj6iwVWsK6nEHNQ4JtttmVT17UsnBY1S7X9dyl1OGFwhZzT3tW1PLBoHkDKytG8bxcN24N1w/7gvXjfuSkeFch5HHGtUYlAjgYa5atap2fmpqahlPtOF6hl7pitaBrASTITAKPMEwKLp8XXz6169lcXlz8kt18nFRNh5rfAyF9OxIhT/9ScU/7KDQFo3MXjUhttSDm5WrsagMltbPmH7R5EigJ898dSnFvzODZOGhYl7k0J52349/9SoUVP3W9axMy6LcZRsoesZ4od2WuK9HFLkKT7l3KiNcN+4N14/7wnXjfvi72XvGotFpc+fOpb///pucQd26dYWBrNvdIpfLxaDDzp07m1yvU6dOZbpotm3bVu46no7cykGKetkULUj8Yorw+0r17/nf/WrRoNb4qFJDMN2DByrieJPHzhHHnj73fafuN+WRFyhr8SpKm7nIaftlGIZhGMYGoxqxpAcMGCA8x4899hht2bJFb4CfpeTn59ORI0fEJA1OxPcrV64IucbUqVPpjTfeEPGrjx07RuPHjxca51GjbmWhGzt2rDbSB5gyZYowohcuXEinTp0Sn7/++qvYlreiOH/NqnB6enGqbQipJxHSuzP5hIWQ8moyFf/9n8VZFVEWlYPSaufkq0ihdFzGRlyv8FAHtm9O0TOty4Jo7X6jHh9JvtUSKOoJ4wNEM3NVlF/kvEHGDMMwDFMZscioXrFiBaWkpNDXX39NUVFRNH36dIqLixMh71auXEnp6ekW7fzgwYPUpk0bMQHomvH9xRdfFL9nzpwpjOEnnniCbr/9dkpKShIGc3j4rVBiMMBh7EvAI71u3TpR1pYtW4pyrV+/XiSO8f7EL5YZ1XKFhvKLpBTltmcYlAUHUlj/Up1v/oZfzV4vKlxGMh+RE4Wyb2Z4tDdLvsmiflOv0o+7Tcc4txR1YTGVnDiv/R3U9jaqvuVj8q9ZKl1yFqF9u1Dtv9dSQMPa2nmqnNLjfHV5Og2fnUS7/nGvwRwMwzAM423IrPGMdenSRSRmgScYcpCOHTvSZ599RtWrV6euXbvSO++8Iwzgirj77rtF97XhBENY2tf8+fOF0VxcXCykH82bN9fbxs6dO7XLSwwfPlyUDXKRkydPauNceyMapZIUl5KsMqqzb0o//HyJwkPsk7Y77L6biWB+/J00CvNCx/nKfLTyk/RsK8PNVUByJrzgRLE3E83YI/50Uv8n6Pp9U0mZlOKwBEnm4qMTWUR++iJduX0kZS/9mqpEywhFSstyzHllGIZhGMZOAxWbNm0qJniV09LS6McffxQTmDFjhq2bZypAeSWZSKkin+BA8qsWb5WeGlkG7WUMBndpS77xMaRKy6TCnQcotFcns9aLi/QVyV+gq25M9uf9ZxNEGvQwOzUeZBFhEDRrDWw/nYGDrib/+99InZ1HBVt20/1fDKbR/aIoJMg+x80wDMMwjBOif8THx9MjjzwiJsa5gxSRBMRHJnN6NkVDfPz8RFrtnM++FWnLzTWqhQf5CpLRqByneY627XLXDc2ITIeJq98gH1+ZWxnUIHrWI+RbNV5IcXyjnBNKj2EYhmEqO+y+8nAU52/qqevVdGnkD13ChpdKQAp++oPU+YUWDVZ011TlOI6UifMp79tt2nn+taq6nUENYPhHjhtMvnG3Qgjmff0zlZy84NJyMQzDMIw3w0a1h6OQPNUujvyhS2CbpuRXpzppCoup4Je/zFonLspxRvX2/QX0/vpMOny62Opt5H61hQp++J3SZy7WDgL0FPZ+voeSn15AV/pMJsUF8zNWMgzDMAxjPmxUe4lRbU2M6sybkTbs7amGpzT8prc6X8ezW5Gm2lGxqvf+V0Q/7CrNpmgtkY8Oo/AH+lLi2rfIN/JW9BlP4KRfdToT25iSWnQkv7rVXV0chmEYhvFKZN6eh93bkdsSo1qSf9hRU20YBaRwxwFSpWeZLf/AYEJ70/OOEBrZM5xaNwq0SD+d/8MO0qhLGx4+vr6U8OFcCu5QcRp1d+OOOxMp9+0FVOXd57SacESN0ZRY38hgGIZhGEYfu1lTCHm3aNEiqlevnr02yVSAuqCIVNdTbZZ/xNjZUy15zgNbNSZSqSj/x50u1VR3bhlCk4ZFU+PaZY3qzEUr6XxCV8patErv97Vu4ynl0Rcp+70vydNpXj+QHuwfS00b3fKwZ7z0MV0fOoWUqZkuLRvDMAzDVEqjGnGf582bR+3btxdJVjZu3CjmI9EKjOnFixeLjIaMc5D0sbKYSPKNjrB4/SxJ/mFnTbVE2H09xSeigJirqc7JV4ukNM4ABnTWm8tFaLzMN5eJmNPSbzkG9fnKyDchhrwNhADMW/8TFR84RiX/nDDZsMAnwzAMwzDmYVGMMSRiWbJkCfXq1Yv++usvGjFiBE2YMEEkYFmwYIFIH+7v72/JJhkXDVLUG6hoh2yKxggb2lN4RJGyXHHlhoiWYYqIUBn5+xEhXwzSaifG2ifaY1q2kkrkGqoa5yeSzOiStfBzvd9Fuw/pr6xWU8ToAeQNFJWo6fw1hYjTXadqHFX/+X9U9Oc/VHL8XGlDAsb0m8uoaM9h7XmQ5sdMH+/SsjMMwzCMJ2CRNYX05Mhe+O2339LPP/9MKpWKcnNz6fjx4zRu3Dg2qF01SNEKo1qp0lBugWM91X6JcRR8V2kK+vzvyk9bDq2vIyQgm//Ip7Hzb9B7a8vKHKJnTSh33ZhZj5K3sGpLDj2zKIV+2JWnledEjh9SYcPC8H+GYRiGYexgVF+9elVIP0CrVq0oICCAZs2aRX5+ds0hw5iJ/IL1nmopRTnyxcBL7CjC7ustPvM2bBeD/8rDEUZ1iUJDgf4+VLtq2R4UeGCDu7Yzul5wt9spevo48hYa1gwQ5zcowMfChgUncmIYhmEYc7DImlIoFMKQloDUIzIy0pJNMHZEce6KDZE/Sr3UUWEykhnIIuxJ6ICuRAH+pDh1keQnzjs9AsjkYdG0+d0aNKhL2TB40AyXkXzcpGjXQa3G2Bvo3i6EvllQXQzYrKwNC4ZhGIZxJBa7mF988UUKCQnRDlx87bXXyhjWGLDIOBZ4fe2S+MUBkT90QUzn0F6dqWDLLjFgMbBZA6fHqoaW2tdI87EiaUPmwuVeY1SaajiZ07DwlnPAMAzDMG7jqe7atSudPn2aDh8+LCZEALlw4YL2N6YjR444rrSMFnVGNqlz8iFGJv+6NWyIUe1Yo1ovCsh3v2rjPhsjNqq0jZeRrSRnYCh9gGe2vP+9EXMaFgzDMAzD2NlTjSgfjHsgv+ml9qtRhWTB5ic1kcjKlQYpOj6pZkivTiQLDyVlUioV7/uXgju3doqm+q9/C2nT7nzq1DKYBnctK/8QUS1Uasp6ewVFjB9CcW89S1mLVwlDEwa1t0W92PVPIa35JYdaNQyiJ4aXykBwnFKUD6lhAQ+1RNS0sS4pK8MwDMN4Gpym3ENRnLMxnF6ec+QfQBYUSKEDulUYBSTOzkb1iQty+vtEMV1IUphcJqRHh9Jy/fC7iE8NQ7p+6m6vM6iliC9nryroxMUS7TwcZ/TsR0SPR8zsR6nat+9S5JMPaOOfRzzU34UlZhiGYRgv9VS/8sorZuuuGcei1VPXszFGtRPkHyBseC/KW7uV8n/cQXFvTCGfAH+TCWDspanu1SFUxKeuWaWcy1zmQyG9O5NvTCT5IBSKF9OmcRC99GgcNa59a7CxZFjrNiLi5j9J4cP7kH/tqqKHgWEYhmEYOxvV33//fblxhqG3RrpyNqodj+JmOL2ABtZ6qtVO81SD4DvbiOyEqtRMKtzxN4X2udOk/KOgSCOSlQQH2mbk1qnqL6byCGp7G1X9aiFVBpCOvlvb0kHGFRHYXH9AqUalIh9f51wrDMMwDOOJWGS16A5I1J2QpjwhIUGE3Js4caLjSsuU0VTbnE3RCZpqAIMsbOg94nv+t9uMLhMS5ENBgaVRKjLtHAGEsZ78Lbvp6t0Pkyo9i08jwzAMw5jAJovq4sWLNHr0aJEQBmH1kFlx6dKltmySMQN4DZUXk+yiqYb30lmEDS9NBFPwy1+kzi802tsRZ6dY1enZStp/vIjSskxHElFl55G6sJgqE0jb/su+fDFo0Rw0CiVlvvY/EWc866M1Di8fwzAMw1Qqozo9PZ2efvppatKkCd24cYP27NlD69evp4YNG9q/hEwZlNdSSFMiJ5/AABH9w1JUag3l5Ds2RbkxAls1Jv96NUhTVEIFW3eXnwDGRk/1wZPFNGdJGi1YlWFymZyl6+liw34iVnNl4d+zJbRwdSZ981uuWcv7+PtR4srXKOrpURQ7b5LDy8cwDMMwlcKoLigooJdffpnq168vDOlNmzbRb7/9pk1dzjh3kKJf3epW6VxhUKs1IuADRYY5b3AePNGStzrv2+0ODauHhC/QUzeooT8oTxf5qYtEcgX5JcZTZQGDFFs0CKTWjYLMXiegcV2KffFxYWAzDMMwDGMci96SMKbz8vKEl/rBBx8URtK///5bZrmWLVtaslnGSqM6wEY9dWSojHx9HZei3Bhhw3pS1lufiyx+ytRM8kuIMRoBxFajGpE/MJVHlRWvCRkNQsdVFmok+NP7z1reu6GbyTN3xUYRz9ra649hGIZhqLIb1ampqeLzrbfeorffflu8YCVgYOM3PlUqHmTmlEGK9dw/RrUhMMQC2zSlksMnqeCH3yly4nCHyD/MAdcq5CiM+WS//yVlvv4pBTStR9V/+dSqxEMMwzAMQ5XdqMbARMaNYlRb7al2XjZFU95qGNV53/1axqjWJoCxcaAiUz5oAOcVqiki1LKGVfgDfSlnxUYKH9WffIJMS2sYhmEYprJhkVFdu3Ztx5WEcZ5R7UJPNQgb0oMyXlpCJQePk+JiEvnXra79L9YOCWBOXiyhN1ZmUOtGgTT9oVijy6RMepl8Y6Mo6qkHya9aAlUmDp0qpvmfpVHtRH/66LlEi9b1S4yjWnu/IlmI+ZpshmEYhqkMWOSqzMzMpGvXrunNQxi9hx9+mO6//35as4ZDbjkadVGJiP5hU+IXJ2dTNGaYBXdpazRtuXagYrZKT15kCeeTFJSUpqSUTJXJUHr53/9GOZ99S+TlWRSNER/lKxLsXE1RkhojVi1E16DWKJWiYcQwDMMwlR2LPNVPPvkkVa1alRYvXqzVWHfp0oWqVasmBjGOHz9e6KnHjBnjqPJWehSXktB3T7LIMJLFRnlENkVjhN3Xi4p2HaS8Ddsp6tmxQt+sa1SXKDTC8AsLsXwgJbIGVovzIz8TVzdCEVZZ9jLJT14QBn5lo0aCH306J5HqVPMnmcz6gapIBpP8yIukuHCNavy2vMygU4ZhGIapTFjkptu3bx8NGjRI+3v16tUUExNDR44coR9++IHeeOMNWrJkiSPKyRiRfkiGqNXyDxdpqkFo/67CuFWcvUzy/85q5wcFyCgs2McmCUh4iIzaNgmilg2MSxQwuC5sUHeKmfUIVUZgSDeoGUB+NkZ+8QkKJFVaFqnzCkhx5pLdyscwDMMwnohFVlVycjLVrVtX+/v333+noUOHkt9NlyAM7rNnbxlIjP1RnLtik55aT/7hQk+1b0QYhfTuLL7DW61LXJSfXcLqMY5FFhZCiatepxrbP6Pgu0rlPAzDMAxTWbHIqI6IiKDs7Gzt77///ps6duyo/Q3PaUlJiX1LyJiIUV3L6jOjlX+4SFOtKwGRdNVIvV5WV206xbgp8ovU9N2OPDpyxnj6cVVGNuWu2UKKq8lUmUnNVNLnm7Lpkw1ZNm0noGFtMUlYq4NnGIZhmEplVN9xxx30wQcfkFqtpm+//VYkgunRo4f2/zNnzlDNmpwQwp0jf2Bg2q3oH64dpBfasyPJIsJIlZxOxXuPlkkAY4384/w1OX30TRYtXG08PXnh7oOUNuVNSh43lyozRSUa+vKnXNr0R75IW28P5GcvU8qgpykgOdMu22MYhmEYT8Iiq+rVV18V2ung4GAaOXIkzZw5k6Kjo7X/r1u3jrp16+aIcjI3kV+wzahGbGJ1qaPa5Z5qaKpDB3YrIwHRJoCxIlZ1gJ8P3dkymNrfFmz0f1lQIAW1b04h3e+gykyNKn7U/85QemxoFNkrVxPCJMoPnaCqa3+3zwYZhmEYxlujf7Ru3ZpOnjxJe/bsocTEROrQoYPe/w888ADddttt9i4jcxNVVi6pM3LEd2szAWbe1FNHhMpsHqhmD8KH96a8r7ZQwaadpHlzmjC0tfIPKzzVTesG0quT403+H9q3i5gqu0zBV+ZjMoa3tcS/O4vS5r5PJ7s1oWZ23TLDMAzDuD8W9//Hx8fT4MGDyxjUoH///noDGe1BnTp1hFbbcEJ4P2Ps3LnT6PKnTp0ib5F++FZLIFmocU+s+Xpq94jPHNSpFfkmxpE6J58Kf9sn5tliVJuLtZFTGNP4VYmluKUvkCoylE8TwzAMU+mwyFPtCg4cOCBiX0scO3aMevXqRSNGjCh3vdOnT4uBlbqNAe8ZpGidl9odEr8Y4uPrK9KW53y8jnJWbyK/6lUovjjYKk01vM8qNZn0wKty8kTECuyTKSU7T0XX05V0W91Au5+Sor1HycdXRkF3tODTzTAMw3g97uGuLAcYw5CaSNPmzZtFopmKtNsJCQl66/l6gSElt3GQojukKDdG+LCe4rPot310reejFDD8YYopTKfMHJVFGf/ghe839So9+voNUqnKrpc+5z261GQg5X27za7l91SupCho2KwkmvF+qt0GK0qgLq8PnULJE14gZYrxQaMMwzAM4024vadaF7lcTl9++SU9++yzFXbft2nThoqLi4XG+/nnn6fu3bubXBZhAHVDAebm5opPhUIhJneh5Gxpgg1ZnWpWlysju3Q99NC7y7H5NK1LvjUSSXXtZpg7uZzCSvIoMySOMnJKKCpMvwEglduw/OevlpBSRVRcgsGYSMGtv5/iI6dJnZ0HfYnbHLsrSYjSUHCgD8VGyigts0Qru7EF6bzK2t1G/vVrkH+zBqQK8icNn2+XY+q+YdwDrh/3hevGfVG42fPMR+NBI7a+/vprGjVqFF25ckWkRjcl+9i9eze1a9dOGMpffPEFLV26VGitu3btanSd+fPn08svv1xm/po1aygkJITchfrzV1HwtTS69MxQym9Z36ptbD9Wi04kxVKnhtfpjnop5Gr8M3LJN7+I4rfso8h/biUOWt35MbocUovu6ZRKEbUDzNoWruS8Yn8qkvtRlciisguo1BR8OYWKa8aTxt+j2pMOQ6HyIX9fxzwCUK+q0CAI2B2yfYZhGKZyU1hYKOzCnJwcPcmvRxnVy5cvp0ceKZviWalU0gsvvEALFiwgR9CnTx8KCAigTZs2WbTewIEDhWf7xx9/NNtTjXjbN27coNhY+0ZIsBaNWk3XGvQnTXEJVf3rC/KvW92q7bzwv0z6+0QJTXsgku7t5NoGg/JaCl3vMo6oRK7/h8yH6KYcQePvT9X/Wk1+NarotUy3b98utPX+/v7OLjZTDuXVjTI5nfwS4/j8uQi+b9wbrh/3hevGfcnIyKCqVau6jVFtlbtu+vTptHXrVvrss88oJiZGzEN0Dam14Aij+vLly/Trr7/Sd999Z/G6yPoI2YgpAgMDxWQIjAJ3MdqUSSnCoCY/XwquV4N8bqaGt5Sc/FJjNS46wOXHps4tKGtQiz9utfN8FAqS5RYYLas71Q9jum40CiVlvPwx5X61hWps+1QvAyPjfPi+cW+4ftwXrhv3w9/NbACrBioePnyYUlJSqEWLFsIrtWTJEmrbti01b96cjhw5Yv9SEtGKFSvE4EOE7bOmvGjJeMUgxTrVrTao9QYqukFIPVlslIhLrcWITEDt7y+Wqwh0uCz9Los2/5lPJXJ1GS//jdGzKfPtFaTOL7RP4b2E/EI1vfZ5Oj32xg27D1bU4kNUcuwcafILqWjnAcfsg2EYhmFcjFXWGWJRQ7c8bdo0uvfee0VkjdWrV4vkL44AadFhVI8bN478DAzKOXPmUFJSktg/eO+990Rs62bNmmkHNm7YsEFMnozinO2RP2B4ulP0D/8aVajmvjWkzsgWKa5TH39V+19q+7vof5H3Usc7E2myjvTDFMi++PWveSSTEfXuoB8nWX7iAhX+8hcV/fEPRU8d45Bj8VSCg3xoz79FVCzX0LUUJdWuav9WPxqBVT6dTyWHT1Jonzvtvn2GYRiGcQesdnkitN3atWupc+fOYnAgpCAYCGhqAKEtQPaBwYkTJkwo8x90z/hPAob0jBkzhKGNdOowrrds2UL9+vUjb4hR7d/AeqO6oEhDCiW5VZxqGNZkxGiOOXWUrvd6lK76mqeRgpN7xD3hVFCkpgB/fY+3X9U4il/0nMhI6cMDFMtkVnxmZLSI/JEQ47hrwi8hhvzYoGYYhmG8GKuM6kmTJtGqVavotddeE/pqSEFg8EIO8sknn9D9999v10L27t3bZFrplStX6v2eOXOmmLyNW4lfrDeqM296qUODfcoYnu4iBdHc1Fj75eVRhyt/UVrd3matHxflR4/fF230P9/YKIoYO8iu5fUm7u0U5tT9qfMKKHXaWxT5yDAK7tTKqftmGIZhGEdhlbD2r7/+ov379wuPMKJqILkKBi6+8sorRr3JjB011fVq2i2bYuailXQ+oStlLVql9xufrpKC1Ph1GUVOHS3m9T69hTKyjAxkZDyarMWrqOCH3yn1iVdJI3evGKMMwzAM41RP9aFDh4xGy3jyySepZ8/S7HiM/YD3Vnnlhh2yKaq1emoYzllvLhe/M99cRkV7DlPR7kOly92cHzN9PLlCCuJXtzrlfPYdVcu7TtXP/EMqVU3yNZF6XCI9W0kxEb4kQzg+HRSXrpP85HkK6tyafCPDHXwEngkGKJ6+LKezV+Q0sEtYmXNob6JnPEzykxcp+rnx5BPgXiO3GYZhGMapnmpjBrVE48aNrS4MYxzF5esYrUk+YSHkWyXWDp5qGWUt/FzvP8mg1i5r8L8z8Y0Io4hxpXKN3qe3amUrpkAq87Ev36ABz16jG+k3ReM3yd/4GyWPnUtpzzgmdrpXoCGa/l4qvb8+i66l6p8/RyALDaaq696moHbNHL4vhmEYhnEWro+rxlikp64oPXt56Eb+iJ5VvkwnZlbZ5D7OJPqx4aTy8aXGaScp86/j5S6bmasilUojPK7x0fqD7WRhIeTfoBYFd2nn4BJ7LugFuL1pEHVoFkQKpfMTrCqvp1Ihh9pjGIZhPBzO1exJemobpB+6nuqYcF8h7Sjec6SMhxoEd7udoqePI1fiV70KnWp6JzU7sZsUn68n6t+q3EGKW9+tSWnZKvIzkIlEPnqfmBCrmjHNq5PjXXZtXx/4JKmy85CSlWJmPSquPSFPWvi5aPw5W4bEMAzDMNbAnmoPQHHuin2M6pua6qhwmTBajBnUoGjXQe3gRVdyrvtg8Rn0519CG12RtzUx1nQb0QcBrBm3w792VfIJDiIR61FTqu+/ft/UUl0/4qq/udwlA2cZhmEYxlLY0vAAFOev2dVTjegfFWmmMxeWDlZ0Jb5NGtDxKi3IR62m7KXrLV6fsydajlKlMRm+0hEgMYzyarLb6vsZhmEYxmFGdUFBgUj08vDDD1Pfvn1FUhV8X7ZsmfiPcaCmukEtm7ZTnqbav14Nvd8Vaa6dARKS/NJ4gPiet3YrqTJzjC734deZ9On3WZSaqT/I7sYDz9Hl9iOpaO9Rp5TXk4EhPe3dFOo/7SpddcJgRV3cXd/PMAzDMHY3qk+cOEGNGjUSyVWysrKoVq1aVKNGDfH9ueeeE5E/sAxjP1S5+aRKyzRq+Fqcojz3Vkg96FSjZz9C5EMU1KUtVd3w3s3fPuLTHXSssVG+dDKhGaUn1iVNYTHlrthYZhkMTtzyVwGt256nN8gOYQhL/j1NykvXya+qa/TCngQGwOL8QYWB0HrOBNdacFfjA0ndQd/PMAzDMHYfqIg41EhFjmyKAQEBev8hPfj48ePFMjt27LBks0w5KC6USj98E2JIFh5q9bkqKtFQiUKjDaknGTO6xjO+Rz35oDYmtquJi/QVRv6eVgNoUPKHlLN8A0U++QBya2uXUamIHr8vii7fUFBi3K3LGdkZ65z4kYoPHie/2lVddASexTMjYyg0yIeq6pxHZ2COvp8Na4ZhGMarPNXIovjCCy+UMagB5s2dO1csw7jhIMWbeuqgQB8KDjRe7cX/nKDLzYfQjYdmO1VXa4q4qNLweH9UuYP8qieQKi2L8r/5RW8ZpFsf3DVcGIS+BklLEE4v5O72NoUhrEw0qhVA1RP8HZ78xRBP0PczDMMwjF2N6ujoaDp79qzJ/8+dOyeWYeyvp0asZVvQZlO8maIcRnP2krVUfOAYaeDuhYHauC5pVGoR2kx1PZXcQVMNsotkFPboiNLvH6/n8HhehqGmGpIPvf9nPuzkEjEMwzCMg43qiRMn0rhx4+idd96ho0ePUnJyMqWkpIjvmDdhwgSaNGmSFcVgzEn8YgtIkKIr/cB2M+Z/TElDniFNsVyb6a7Gtk+p1qGvRZxoVxMeIiP/m0oE+cB+JIsIE577om17tcucvyantGylnmddlZNHyePnUc6yDWyAW8jOfwppybdZlJzhvMGKt/T9PhQz+1Gq9u272t/Q+5f8e0bb8GMYhmEYd8Ui8eT8+fMpODiYFi9eLAYrSt3qMGgSExNp9uzZYj7jholfdCJ/CJQqCh3UXcQChjEtEdCwNrkLuL6gq76RoaIMZSBVHTeYsj/8ivKWfk30WB+xzBsrM+jidQW98UQ8dWxeehxIalOwZTfJT18SiV8Y8/nm11w6eUlOTWoHlBv3294Y0/eHDelB17o9LAadFm7fS6H33uW08jAMwzCMpVj81pw1a5aYLl68KDzVAAZ13bp1Ld45Uz5orCgckE0RBDSpS4nLXyl335qCIqFLdiWxUX7CqE7PUVGTx4aLeNUlf/9Hwfe0EGVEThdMdar6a9cJaFqfYuY9ptdYYMzj7nYh1KROAFWPd32y1YD6tSj+wzmkzi1gg5phGIZxe6x+c8KIZkPasahSMoRhS76+5F+7mn001REVK36gs06b8Tb5xseIrnh30FVnZCvJr20chd/Xi/LW/URxvxwgn6cfpc/mViW5QqOViQD/OtUoeuoY1xXagxlxTwS5E+FDe7q6CAzDMAzjmOQvRUVF9OeffxqNR11cXEyrV6+2dJOMCbRe6lpVySfglifW1myKytRMoTs2BcL3yU9coOK//yNVtunlnBkBJCOntPwI+QciDp8lxcUkbQQQjvDh/UAGkvbcOyQ/c8nVRWEYhmEY24zqM2fOUNOmTUWs6hYtWtDdd99NN27cimmck5Mjsisy9uGW9MP6pC/GNNWI+nGp8UDKWmy8AQSveJWVr1Ptf78n36hwcgdPNeQfkmwlqMcd5KMhyvv0mzLLl5y8QEX7/iWNXOH0snoLkNXcSFdSQVFp74a7kPHKUspd+QMlj51LGmSpYRiGYRhPNaqhpYYxnZqaSqdPn6aIiAi688476cqV0ljKjH2R2ylGtX5IPRkpLyWJrCn+daubXD6sf1eXG9TaBDA6nmoQ8fhI8bn8WBS9+NF1On6hRPtf7rINdH3gk5Tx+qcuKK13MPPDNHroxeu0/3gRuRPR08ZQQMtGFLfwWfLR1fswDMMwjBtg0Ztpz5499Ouvv1JcXJyYfvzxR5FBsUuXLiKLYmio9Rn/mLLYa5CinvwjwpcSV71BimspZhvN8Fy6Sl5xS1N9y6gO7NyaimpXoWNxLSj5hJIG9rjlUfUJCyFZXBQF39naJeX1Bmok+NHRs/oNGXfANy6aamz/jHwwMpVhGIZhPNmohp7az09/lSVLlpBMJqNu3brRmjVr7F2+So29Er8Uy9UiTblu8hf/GhXHoS45epqy3vuC/KolUNzrz5AriI3Sl38AGPjpfdrTqI0rKalaI2oQP1n7X9zLT1LsS4+LUIGMdTw8MJIevy9aaNXdDV2DWpWRTYW/7qPwkfe6tEwMwzAMY7FR3aRJEzp48KDQVevy4YcfCm/moEGD+KzaCWhGFZev2yXxS1ZuqScXRlJIkPmGEgYpFmzeRbLIMIp9cTL5BJZNT+8s+UdhsYYKi9UUElRqVOW0a0Stth6gpkeOk2xLPaLxQ7TrsCfTNiJCb8Yyd2NUufl07d5JpLx0XQziDRt6j6uLxDAMw1RyLOpHHTp0KK1du9bofx999BE9+OCDepntGOtRXLkhErT4hASRb2KcXQYpxoZq6FqPRyht+tvlRv+QCL6rDUXPGE/VfvjQJQY1gBEtNQT05Ai+Mgp/bLj4moPU5SoVD06sRPhGhFFo3y7kV6caBTSr7+riMAzDMIxlRvWcOXNo69atJv//+OOPSa12r4gBnori/M1BinVr2Ox5lfTUTQoukvzYWcr/4XezEqP4+PpSzKxHKLBZA3IlWl21jlGdnB1CFzr0puK4BFJcvEb5W/+gKx1H0bVeE7Wh9hjr+WlPPs39OJX2/udegxV1gcynxrbPKKBRHVcXhWEYhmEsj1PNeJaeWjfyh6JefUpc8xbFvvwU+Rho490ZY0b1gQtVaNayfDo8ZKL4nf3eF6S8mkwlJ86Tb5VYl5XVWzh9WU77jhXT0bPF5K6g0ecbfStZjfzsZSELYRiGYRhX4DmWVSVDcf6aXfTUup7qiLhgCu3VyfKyXLhGuV9tJv96NSniof7kKl11uk4EkJBAJVWJ8aWmA9oQrfYn+b9nRGxtWVAgyUKCnF5Gb6P77SFUK9GfWjcKJE+g8I9DlDL+eQpsdxtVXbPQoxqNDMMwjHfAnmo3RW7HxC+ZUuKXm5E/rDFYsj/4inL+97VLNPOGCWDAPc2u0uqXEqhdxyoUPqK3mJe3/icKuaeD08vnjbRqGETDuodTvequ0dJbo7HWKBSkKSwmdYH7SlYYhmEY74WNajdFYc/EL7kqaph2ihr8tVUbUcQSwob0oNB+XcSgRVeEqpPC6unGqtYl6okHxGfhz39pE+YwlYvAVo2p2vfvU7UN75JvpOuTFjEMwzCVDzaq3RB1fiGpktPFd//69tFUd760m2p8/gnlfP69xevDSEHCmLBB3V0Srs5YVkU9fHzIt3qCMPhzPlnv3MJ5MbkFKjp4sogu3/CMlO9B7ZrpRakxJ8INwzAMw9gLNqrdkKK9R8WnT3SEXVKFw1N9IbYBKdu2tkpT7Wriovz05B+rtuTRV3sa0/a/C8Xvwt//JlVSqviet/5nUqZmurC03sPyH3NEyvJf9nne4L+clRvpyu0jxcBVhmEYhnEGbFS7GUgfnjx2rviuyc4Tv20Fcar/qNeDglctpuC72trkQc9ds4WK9v1Lror+AU332asKSs8LoRJ5qRQl6I7mFPn4SPKrXY00JXLK/fw7p5bPW2lcK4CqxftpE+54CohZnv/DDlJn51H+N7+4ujgMwzBMJcGz3paVAHVGNpFSWfpDoyn9bQNyhYYKim6mKI+wLVNe1uLVlDblTcr5ZB25wqjGseQXaejp+yNoYJvzdMdtpVE+gto0pbhXnqLYF0rTlUPiwoPVbOOLrTm06KtM6tMxlEb3jRS/73niivh0dxBqL3HFaxS3YCrFvPi4q4vDMAzDVBLYqHYT4JEuOXpaxNrVBb8x31qPNbzUNbMvUZCPksKCzU9Rbozw+/uIuNlBd7QgZ4L06hGhpZdqejZC6flRvYRcSojRbySEDugqMuyps3Ipb91PTi2jNwHDecXmHEJTbMWmHJrxfsqt35tzPMKwhmwq8tH7yMfn1jXP2V4ZhmGYSmtUz58/X7wUdafExMRy19m1axe1a9eOgoKCqF69erR06VJyd2AwX0U2wJ6PUurjr976w8dH/MZ8/G+NYZ2Vkk9zfnuJ3vl+EqlSMmwqZ0CTulRzz5cU9eSD5LKwegYRQERD5PRFYTDBQxk1eaSYn720NHU5YzkrN+sbzf+cLin3f3cH10H68x9Q5oJlri4KwzAM48W4tVENmjVrRjdu3NBO//33n8llL168SP369aMuXbrQ4cOHae7cufTMM8/Qhg0byJ2BxANa4DLohK/D/9ZIQfJOXaMi/xAqCg63S6ZBXc+fK4zq/86V0M97Cykjv1T6kfHa/+jqXWMpd9UP4nf4A31JFh1BykvXqWDzbpeU1dMZPyCy/P8Hlv+/u1H0xz+U879vKPvd1TxwkWEYhnEYbp92zM/Pr0LvtAS80rVq1aL33ntP/G7atCkdPHiQ3nnnHbrvvvvIXZHFRolQYGUMa4SvU5emGMf/WM5S0hLq0KKBS+jumkXUzk4GMbzCxfv/I79q8eRfqyo5g7ibsaoPnymm4xfk1Lp2bKl3OjiQfIICKLhjK/G/LDSYIicMpaxFqyh7yVoKbNuU1Jk54tz516jilLJ6OmP6RYr05IYeatCuSRCN6etZRnXI3e0peuYECmhYmwJvq+/q4jAMwzBeitsb1WfPnqVq1apRYGAgdejQgd544w0h6zDG3r17qXfv0ux6En369KHly5eTQqEgf39/o+uVlJSISSI3N1d8Yh1MDqdKDFX9Y5Uw/nKXfk2FG38vna9WU+xHc4WOWRYTKZaztDzp2QrS+MjIv3qc3Y4lc857lL/qRwqfNIKiX3LOQLDo8NIGgUymodYN/alqcAEplUqKW/5KaWMkwF97fCFjB1LWR2uo5PBJutLhQSKFkigwgKr9sYr82LCukK9+yTNqUINDp4pp1eZMGtXHeKhHqQ6cct9YQPjU0W5ZLmfirnXDlML1475w3bgvCjd7nrm1UQ0jevXq1dSoUSNKSUmh1157jTp37kzHjx+n2NiyUobk5GSqUkXfG4nfML7S09OpalXjXtUFCxbQyy+/XGb+jh07KCQkhJxJnRNnKEzn9/6Uq1QcJCe6RkSWRrLTaOjIKaQ5T6DM1Iu0desNu5QxPFxGNQL96cKlS5SydSs5gxtX44ioJhXmptGANhfFvO3bt5tcvlqHphSz+99SgxqUyGn3pq1UXJu91RWx+pfW6BvRmaPR+71qax5Fqf4odxvl1Y2rkRXLqcqG3ZQy5C5Sh5bKiCoT7lw3DNePO8P3jvtRWFiar8JdcGujum/fvtrvLVq0oE6dOlH9+vVp1apV9Oyzz5ql+ZVG/JenBZ4zZ47e9uCprlmzJnXv3t2o8e4oUNZr05cKE0YQGEBdB/az2rua98UmqrruIwqt2oOaDx1E/e5uY59y9laRZupEqhsSTM4i6t9i2nkyi/yD46lXrwbi4dazRw8KCCprFCmvpZB8TBilw6jWoUOVmuRfo9Trzx5r02T55tHqrbcSvrRpFEiHz9ySJvW4PViMXTDlNUDd9OrVy2TPkKtJHTuXinccoeq+QZSw+g2qLHhC3VRmuH7cF64b9yUjw7YADJXKqDYkNDRUGNeQhBgD2mt4q3VJTU0VuuzyjGNISzAZghePM18+8jOXSJOTL4zp6j98QL5V4mzSAZfsPECxSecpMrodxUXZ8ViwnWDnevgSYtXaBDA4Dp8SBaW2HUmBrZuImMSysNIeBURIudFlnFF9esZTb2j16TX3rWGNtQnGD4ghX5mviPKBQYnQUEth9sDh03IqLJFRZJjpuOfOvncsIe75SZRy/hrFzhjvtmV0JO5cNwzXjzvD94774e9mzzKPMqqhez558qSI7mEMeLI3bdqkN2/btm10++23u92JN0bx/lLPatDtzSioXTObtxf/9gz6QNGSDvjXpx42Jn4xhTI5XRi0klHrKOJuRv9Iy1bT0u9yqOmF6yJjnuLcFfIJDa44ksrNAZ96kVRYX13uYEVMur9H9oqgJxYmU+vGQSJ2uKcS2KwB1dzzBfn4edTjj2EYhnFz3Dqk3owZM0TcaYTK279/Pw0fPlxIM8aNG6eVbYwdO1a7/OTJk+ny5ctCygHj+/PPPxeDFLEdT0BK/x3coaVdtudXJZZ21+hCaWGJFB1u/6pOn/cBXW51H+U5IRW0bjZIpYqooEktSvxtGcUvnqkn7ZEiqWgxYvtZG0mlsgND+uNZifTUiGgKDnTrR0eF6BrUyqQUKtzxt0vLwzAMw3g+bv1mvHbtGj344IPUuHFjGjZsGAUEBNC+ffuodu3a4n/Erb5y5Yp2+bp169LWrVtp586d1Lp1a3r11Vfpgw8+cOtwekY91R3tY1QrVRrKLSj10MY4wFPtVyNBeIDlJ87bfdtl9uXro40A0v62QCKZDwU0rUch3e/QWw5yGUg7avy6jBI+eaF0jN1NgrvfIeaz9MN6DD3UKrXOCfZAFJeu07Xej9GNUTPpfEIXEYoRZC5aSecTuopPhmEYhjEHt+7/XLduXbn/r1xZ9oXXrVs3+ueff8jTUN5II+XlG0L7C/mHrWS+uYyKa9SiAGUdUgYEUXiI/dtP4Q/2p9A+d5F/PUQYcTxxUX6UlVdx+ByhQzci7Sja8TdpoKNl2YfN5OSraMk3WRQQ4EMzHnLeYF5HNAyFfCg1U3vfFO05TEW7D4nfWW8uF58x08e7tJwMwzCM++PWnurKRPFN6UdA8wYkCw+1aVvK1EzhcSua9ioFKksoOtyXZDL7a2B9o8KdZlDrZlUs2vsvVfl2F5X8fazc5fWkIEikg4GrUxeSuth4DGbGfC4nK+jXA4X0894CSkpzrzihlspAkH1TF8mglsha+LmTS8UwDMN4ImxUe6OeWq2myCcfoJIed1NeUKRD9NSGaOQK0qhUDtv++WtySs8u3X7AH39R/M8HqOC78uPt6kpBavy+nHzjo0lx9jJlv/uFw8pZWWjZIIgeGxpFH86oQtXj3X8QcHlEz5pQ7v8xsx5xWlkYhmEYz4WNai/UU/slxlHc/CfpytRZZQb5OYLMhcvpUouhZTx89uTfcyV07lqpR/Ry7ZaUdWdzCu7ducL1YFgHtmosIj7EvTlNzMv64EsqOXbOYWWtLDzQK4Ka1ikbitLTgLQjuGs7o/8Fd7udoqeXDoxmGIZhmPJgo9oNUOXkaQf7Bdkp8gfIyisdpAj5hyNRZeSIFOsFW3Y7bB91q/lTywalBtyJ6m0o6eF7KbhHB4u2ETrwbgrt31WED0mb+iZplDezLTI2k5WnogtJRkIZegAYjGiqQVi066B28CLDMAzDlAcb1W5A8YHjIqW4f90aIgyerXGj5acuiuyMWbmlcglHyz8iHxtOiWvfprg3pzpsH60bBdEDvSPE98ybx2UpCL0Hb7UsIoxKjp6m7KVf27mUlZMTF0vo4Vdu0PzP0qlE7nnRQCrSTKMnhmEYhmEqgo1qN6B431HxGdShhc3byluzla52GUtpU94U3kNnyD8CGtSi0J4dHZ5MAwlg6mSep5IbpZEarJXGxL7ylPietXA5yc9ftWMJKye1qviTv58PBQb4aK85T9ZUQ/Jh+Lv47/+cXCqGYRjG02Cj2g0o3l/6wg7q2Mrmbanz8sknKIAC2zbV8VQ71qh2NCVytUhPHhMpo0f2f0Ivrnucgo9dtnp74aP6CQ2tplhOac++RRqdbIuM5YSFyGjRlAT6ZFYiJca6dZROk5rq6NmPoCuDYmY/StW+fVf7O3RIDyraeYCuD59GiqvJri4qwzAM48awUe1ikDK75PBJ8T2oo+2e6tiXnqA6Z7ZS+Ig+tzTVEc6p5pwV39O1XhNJcTHJ7oMUR8xJopc/uEZyv0BS+vhSRnXrQ/lBBhK/aCb5hARR8Z4jlPflZruWtzJSK9FfJOjxVGBY10/drR2UKP1OeG82hfTqRFFPPED+NRNdXUyGYRjGjWGj2sUUHzklDGuEe/OvV9Mu25QFB5IsNNjpnuqCrX9QyZFTlLf+J7tuNy1LhQSKFF0llP53/5s0bfBSyvUJt2mb/nWqUcycieJ7xvyPSXk91U6lrdxAy38iKYa++S2fvAHcR4mr36BonbB6GoVSHCfDMAzD6MJGtbtIP+5oKTyotqArY1CpNJRzM0W5ozXVEvDmxb4+hSIftW9a+H53htGWd2vQMyNjRAKYYv8Qyi+xPTZy5MT7KLDdbaTOK6C05xaxoWQH/j0np+3HatOKzXl08bpnRgMxBGMFpHsT91jK5FcobfrbHD2GYRiG0YONancZpGij9AOes6t3jaXrI2cI7WdOvhoBRYSHNzLMOdUc0v0OinpsOPnGRdt92wH+PiKKiZRVscAORrWPr6/o3id/PyrctofyN/5mh5JWblo2CKDGVTNpXP9wMYDR2yj++xgVbNpJeet+Ivnx0jCYDMMwDAPYqHYh8HpJUQVsHaSoOH9VZAss/usw+cZEaqMwwKD2dUCKcmejvJhEl5sPoR6bPhLhB+1hVIOAJnUp+tmx4nv6nPdIlZFtl+1WVuDR7dPiMo3sGUa+HqyxNkVwx5ZUZcVrlLBknkgqxDAMwzASbFS7EMSTVufkk09IMAU2b2DTtvzr16Qau1dRwkfzhA4000WRP9BQKPx9P6U8+Tqp8wtt3l5atpJeXpZOO5f+RarUTIrMThVRGfKL7ecFjX5mNAU0rUfqjBxKf/4Du223sqKrYkIPSm6B54XZK4+w/l0pfGhP7W9lWhZHBmEYhmHYqHaL1OTtm9kc4xkewsCm9ShsSA/x+1bkDyeH0/PxobRZ71L+1z/bJcPi+WsK2vVPIX0T0omqbfyA8saOFvPt5akGPgH+FP/eLCKZjPK/3U4F2/bYbduVmdRMJT33QSrN/TiNVGrvHNiHhmPyqJmU1HcyldzMisowDMNUTthT7UKK9/1r99TkEs7KpmjMuI+cOJwiJgyzS/c4QrVNHhZF/XtEU/CdbSikS1u7G9UgqO1tFDn5fvEdgxYxeJGxnVOX5aJhhMlbjWpE70HKe59A79OQMwzDMObjeZkavNFT3dE2o7r4wDHK37KLQvt2oeCbBrqzsikaA4MV7UW1OD+6v2dpenIgDVTMLfKn1EwVVbfjYLiYWY9QwdbdpLx0nTJeXUrxb02327YrIwkxfjTv4TiqVcWPqid4p8GJDJ3VNn1EyqspFFC/lquLwzAMw7gQ9lS7CEToUCalEvn5Ci+pLeRv2kk5S9aJFOUS3pJNERT8/CdlffgVyc9eFhFNgELlRxNeT6WUTKXd9iMLCaL4xTPF99wVG6lozxG7bbuy0qlFsNca1BK+keF6YyJKjp+jnM+/d2mZGIZhGOfDRrWLvdSBLRuJgYW2EHJ3ewp/oC+FDuimnefsbIrGUFy6Ttkfr7M6/jN0uP+dK6bML7ZQ5itLRXIZhfLWthRKEqED7UlIl3YUPnqA+J42bSGpi0rsuv3KTFKqgv761/bBq+6MKjOHbjzwHKXPWky5q390dXEYhmEYJ8LyDy/QU4f06CAmXbTyDxd5qtXFJXT17vGkKSgSCVYkWYolJKcracriVLo7uymN7aGmtKZt6GqKvmf6SrJCGzqwSox9LufY+U9Q4fa9pLhwjbLeWUGxL0y2y3YrM2evyumZd1IwFpQ+fyHAbnXlbsiiIyhywlDK++5XCh3U3dXFYRiGYZyId77ZPICim55qxL11BFr5hws01UAWFEhhg3uI9N8+ftaVITtfTQnRvnSpai+anHY3yTdibob2f0Rue2Nl6e8AP6JV86vZxVhDd37829Mpeexcyl6yjsIGdeeYxDZSv7o/NawVIOrJm8FA3ehpYyly8kiSBQfqhZr0QYuCYRiG8Vr4Ke8CVFm5pDh1UXwPusO2TIpFfx0mZcotQxOo1RphkLoi+ocu8e/OpGrfLKagds2sWr9ZvUBa93p1mjE6huRGpNO6ohK5naUgGPQZOrgH8r1T6tSFpIHWhLEamcyHXn88nt5+JsFrvdS66BrUGBOQ1O9xEc+aYRiG8V7YqHYBUhZF/wa1bErpjTBe8KYi02DJsXPa+bkFalLftC+jXDhQ0R6eueIjpyjGX67n4dRNLiKB/+2djj3ujSmiO19+7CxlL1lr121XRsJDZMKTK2Gt1t6TQLg9ZOosOXSCcj79xtXFYRiGYRwIG9UeHEoPGQb969UgWWwkBTStW0ZPHREqIz83SBWtLiymwl0HLV5PI1fQ9cFPU8Edg2jFBA0tnZ1Ic8fHaiOAgKhwGX30XBW7ST908UuIobjXnhbfs95ZKaKPMLajUmlozS859NrnGV5vWPsEBlDVbxdTxPjBFDNrgquLwzAMwzgQNqpdQJGdBin6VUugGts/o9qHviEf31seaZdlUzQhdYEn/cb900l5I8389VQamvfSMcoPCCNZRBgltqxJjWoFiGQwumTnqenkxRKHSQrCRvSh4B4dhMcxbepCUly5QSVHT5PiWopD9lcZSEpT0srNObTjUCEdPuP90VUQvzr+7RnarKloSMjPXHJ1sRiGYRg7w0a1k0GItpIjp8T34I6t7LJNw5B8rsqmaAzf6AgKuK0++dWsQorLNywyvPblxNLs/u9Tjd2rtVISSDz8b9rPvjcP74ufcim/0L6h9SQgV4h/Zwb5hAYL2c6VDg/StZ6P0tWOo9iwthI0jCYOiaLZY2OoTaNb2uPKAqREV7uNp7z1P7u6KAzDMIwdcb3VVcko+eeECLDsWyWW/GpXtUlPjYgCxnBlNkVjJK58jWr9vc6iSCfInPjqpDh6akQM+Sfc0p3DI/35vAR6sNMpWj4vnmon+gkN+Vc/5zio9ET+NRNvhdVTlp5beK7VGdkO26e3M+KeCOrdMUxPY10ZEF7qE+fFdaTK5OuHYRjGm2Cj2skU7y8dpBjUsZVNBgWyKEJWkblgWZn/snKlyB/uYVRjMKalgxZDg2V0Z6sQ6ndnWJn/EmJ8KSGiiKrG+dFjQ0sN7u925lFyhmMidEDqgVjb0K/rAo01S0FsR6nS0OUbpfHGvR3c8wkfzaPEr96kqMcfcHVxGIZhGDvCRrWTKdp3VHwGd7AxlN7uQ6RKyyJ1SYlJT3WMG8g/DL10yiTztMiFuw/SlbvGUOY7K8pdrmPzIGrdKFBkV1z+Y7ZDDGpIPZJ6TRTJYLT4EKU+/ipLQWwEDaHHFybT9PdTKM9BEh53Aw3M0N53an8jXOP1Ec/S+YSulLVolZiXuWil+I1PhmEYxjNwL6vLy9GoVFR84JjWU20L8QufpWobP6CIMQPdLvGLSeP0zjF09e6HhXSiIs58s48Upy+R/EJShZ6/ycNKvdW/HSik05ftO/ANEg+j5dUJWsFSEOuJifAlhUIjVDWVxVttyLV7J1HRzgNodVLmm8vo+n1TKevN5eI3PtmwZhiG8QzYqHYi8uPnSZNfSLLwUAq4rZ5N2/IJ8KfgO9uIyAKGaKN/uIn8A/hVjSN1fqEwQEuO34qpbQy5QkPzi7vTx52mkmbEoAq3jaggPduHiO//+y7brmHaZLFRIizarRllbxn8j+UYywnw96GXJsbRiherUvP6lW/QIpD/d6ZML5QuWQs/d3KJGIZhGGtgo9oF8akD2zfXC4Fnb255qt2nenG8iavfoDrHf6CgtrcZXeaLrTl0zxNXaOXmbKrXLI7ON+5Ao7+JEvMrYsKgKBEV5MjZEtr7X5Hdyu1fowrV3LeGavy6jBI+eQHpKsssE/nkA2I5xjrqVgtwqwags4me9Ui5/8dU8D/DMAzjHriP1VWJ4lMH2xifOn3+Esr68CtSpmaW+Q9e2ux8lcuzKRojqHUT4aU3BgznFZtzhKpi3fY8kvmUZobEb8yvyLBOjPWj+7qHi++ffp8t4lzbCxjMga0aU0DD2nrzw8eWetGzF6+m7E+/tdv+KjMnL5WIxDCViZjp4ym4azuj/wXd2Yaip49zepkYhmEYy2Gj2knA2LVHJkVIKHI+/ZYyX1lK6ryCMv/nF2nEoD3gzt4/hATUBclAJDpc/pNCfvqZIouyjP5vilF9IkUWySspStq6J9/OJdaXguAzeuoYipo2VvzOmPc+5az43u77rEzcSFf+v73zAI+i6sLwty3Z9F7pvSO9KEUURQQEEVGRKhasiFKt2LCBYEHwB0TEBggoCtKkCgICQekdQklI71uy5X/OXXazu9nU3WQ3yXmfZzKZ2bszd+bO7Hz3zLnn4PnZN7D410zEnVajpkA+0/YuH2bUe+IsgxcZhmEYz4ZFdSWhu5wA/Y1UkI+Cd/sWTm0r/O3nEDBiQKEQb9auH34+EuGv6mnkX7qOhFEzcK3/0zbrxw4Msvzf7/R6jDm0GE1SThV8Pqjg86Lw95Vi9L1BFhGep3ZtNAlrVxCaU/zq0BmPI/j5EeLzlKmfIGv5OpfusyZBIRIH3OYv/OMb1rLNnFmdKclnOu3DJaJTnn8lsdLqxDAMw1QzUf3++++jc+fOCAgIQGRkJIYMGYLTp08X+50dO3aIiBD206lTBQLNnaH0vMkFwqf8A7Kk/r4IevwBRH463WGc64Jsip5ppZYG+SNv236RVdI6VfOoe4NM2fWMRhyp1RFnw5ridITJ97pjcyVG9S9ZVBODevqjVoRcDNZcsSXL5fU3u4KYfaipDUJfn4CgCcPFcvLLs5H1w3qX77em8MJDIXhlXDiC/D3z+q0IQqY9ZrPs07tToc9zf9shsnmmfVx8iEmGYRjGfXi0qN65cyeeffZZ7Nu3D1u2bIFOp8Pdd9+N3NzCbg/2kPhOSEiwTE2aNIE7Mbt+lCWrYHnwtGyKjtKWR86dijp/fQuvpvUt68lnOu6MhlQq1rUaho/ueBPZSpOQPnRKjeV/lM7PViGX4PHBpkgcK7dmIzmjYhLCWEPCOuzt50RnhzoFyS9+iOyVnIK6PMjImd4KjdZQI3yqQ6aPF9d+6PTHEfvzXMsyzelz1c6DIhOro4GyDMMwjGcghwezcaOtMFm6dKmwWB86dAi9evUq9rtULjjYc8KcqW8OUlQ6MUhRl5gCzdGz8Lm1HaR+Pg7LpFmyKXpufylg+D2F1pXkM/3Nb5mltlb3au+Dlg28cOKiVnxvyqgwVIqwnjVRxCLPWvoLkp5/H5DLETC0b4Xvuzqi0hiwZF2m6FB9NT3aI12ZXAkJZ5qKWg6fPRm+/W6DT8+CAY26hGQhsuW1OPIMwzCMJ+DRotqezEyT8AoNDS2xbPv27aFWq9GyZUu89tpr6NOnT5FlNRqNmMxkZZncBvLz88XkLPrUDOSfixf/y9o3L/c2s9dtR/qrn8G7RwdErZztsExqpmnbQf4Sl9S9oklK02P19hw8eo8/vtuYg1oZ8bgeVBvtmikRd6Yg6cqoe/0tx2M/d8TjgwPw0rxUbNyXi8G9fNAgtnJ8dIPeeQ56jRa5P2xA0jPvgOKX+A66HTWF0rRNachTGbDjUK7oJO6OyxYdpZqOV5/OoPdQ+pvnNnnybKj/OoywedPgO7B3pbUNUzFw+3gu3DaeS76H/Z5JjK7MlFGBUDUHDx6M9PR07N69u1i3j127dqFjx45CKC9fvhwLFy4UvtZFWbdnzpyJt956q9D6H374Ab6+pqQizhBw+Czqffkr1LFhOPf2uHJvJ3T7EYRvPIC03rcg5d6uDstsPVYHx6+Fo1vj6+jaqHQpwd2BIjULoVsP42y8P5a2fQLt6yUhRJ2KR754F2ofX5yf8wT2XamNfedi0K1xQrmOZf2R+jh3IwT1wrMwpON5VBoGI2p9sxEhe4/DKJMifsIgZLd3r/tRVeRScgB5QKBeeLa7q+JxSNVa1Ju3Gr4XE3DuzdHQxIa7u0oMwzCVTl5eHkaMGCGMroGBgXA3VUZUk2/1+vXr8ddff6F27cJRL4pj0KBB4vX8unXrSm2prlOnjvDFDgtz3nUg/a0FyP5qFfxHD0LoB5Oc2pZoLp0eEsp04oA3F6Vh3zENJj4UhHtvdb5DUFFoT5xHYt8nYJTLMXfcQrzyYj0EnvgPyY+9IaKaRP+xoNieKfnY33XXXVAoirZAX0vW4cn3k0UK7FlPh6Jj88rL2EduIKkvfoi81VtFxJfwRTPhe/etqO6Utm0Y5zEaDNAePSsGzppR7zoERZsmYuwCt03Vgu8dz4XbxnNJTU1FTEyMx4jqKuH+8fzzzwtBTBbosgpqolu3bvjuu++K/Nzb21tM9pAocIUw0B44Jua+3du5RmhYZc22JyPH1EcKD3ZN3SsC6hgobmmOoKcfgk/3W/Bpn4aQKxVAZBf4n/kd+pQMyEtR95Lap36sAvf19MeaHTlY8ls2OrfyKzQQrsJQKBD9xatIMhiRs/ZPpDz5FqKXzYJf326oCbjq3jFD4RH/O6dBt9bsBmKNV6fWlv9115OQPP4NSJReqLV+Abwa1amUtmFcC7eP58Jt43koPOy3zHNHs90UX8899xzWrFmDbdu2oUGDBuXaTlxcnOjJuANDrgqa/86I/5XdbnFqO2VLUe6Z0T9OXdLg5XlJyMrVi3jbfv17mgT1TSRyOeTRrnuVTaH6KGb3+av52Hqg5KgxroSOJfLL1+BHPtXafNwY+yryth+o1DpUB9Ky9Hjs3QS88VUyLlwr8LNnbNFnZENeJxqKhnWgaFCLTw/DMEwlI/V0lw+yMJNvM8WqTkxMFJNKVSAwZ8yYgdGjTVntiHnz5uGXX37B2bNncfz4cfH56tWrhTh3B+pDxwG9HvJakZbYxuXh2oBnEH/bSGj+PV1sJ4TiM3tqnGq9wYj3l6XiyFkNlvxaOamoKd7xo/1MUUMomoS6kkO0kbCO+upN+N3bE0aNFomjZyBvt+PseYxjKJJN49peiAiWQaWpEt5qbsG7ZSPU2fY1or9+BxKp1OKGlPHVKhjyak6GSoZhGHfh0aJ6wYIFwk/m9ttvF5Zm87RixQpLGfJ7jo83RdYgtFotJk+ejLZt26Jnz57CB5t8sYcOHeqWY1DvP+q0lVqfngXt6YvIPxsvxHlR5KmN0OabREdIoOc1LblevPVkhIjk8NRQU7jD1Pf+h/MRPXGp3QO4NvBZJIx5Becje4nUza5iaJ8ARIbKkJKhx+ptlT/ojfzfoxa9JXyqjWotEkdOh2rvkUqvR1WFxkNMGRmKxa/GoFXDyvOLr4rQtWb9pifrm1+R+tpnolNOPtgMwzBMDfWpLs0Yym++sRVfU6dOFZOnoL6ZSVHZtU25t0GDjuqf/A2auJOQhYeUmPjFx1sCpZfniGpK4OF9sz71YxSY+USE+J+Ec8a85eJ//bUkMZlJ/2CJmFvH6i0vFOP48fuCMeubVPy4OQv33uZf6ZZ8iZdCWBATRr8C1bb9SHhkKmJWzoZP17bIv3oDhtQMSMOCnXqbUZ2pSRkWXYm8bozoiAeOGmSxXjMMwzAVA//KViDGfB3UB084nfSFkAUHwLdPlyrnT70rLg8j30zA5YTCsSTTP/y62O+W9HlZuKOTL5rUUQhr/rfrK8f1xB6Jtxeiv3lPpKE25qmQ8NBk5GzYjSvdRuBq38fFnAQ2Uzx/H1Xh7cUpMBjYFaQk/O7qjjp7vkPgmPss67THzyNj/o/i94lhGIZxHSyqKxDNsbNCPEmD/OHVvHyDLMtCgT+1ZzQriZ4VW7KQmqnHut2F3S5Cpj1W7PdDp413WV2kUgkmDDVZ+X/7KwfxN9wTMF7q443ob9+HskcHGHNVSHr6beFrTdCcLNZM0WTm6PHu1ynYcTgPG/+u3IGnVRXKviqR3exoG4xImz4XqTO/ROp7X7m7agzDMNUKz1Bf1RT1/pupybu0KferV4ockjj+DWSv2VpiWYul2kMGKZKQnfVMBMYMCMIzwwq7rZBrh0+vgrTL1pA1N+TlMS6tT/tmSnRrraTMzlj0i/vEq9RXiYgPX4JXmyYw2g0g0569LAajssW6aDeQCUODMbxvAO7o7Llx2D0Z/0cHQF4vBsFPDbdZT+5YNJ4hfc4ym2VXjm9gGIapzni0T3VVR73P+UGKuVv2InfddhFBJGBo32LLmn2q3e3+cT1Fh9hwuUUEkah2BD2sVbscR8JQ7TwoHu6uFtZP3h+CA8cTsOdfFf47p0bbxkpUNiSYr97xmMVCbUEiQdLT75j+9fZCnX0/sI+1Awb1DKiUdqqWSCXwf7g/gh+5V0SmMXN92CRxzxFpHyyGam+c5d505fgGhmGY6gxbqitwkKVqv/ODFCmOc8iUcQh46J4Sy6Znud/944dNmRj71nXsO1ZyXO2SfKbTPjQ9zF0JDZSkgYrEwjUZpRoM62rIxaOQoCas6sKuIKUnKY19g8uKtaCmtyNmQW3GvrPryvENDMMw1RUW1RVE/oUrMKRkCIujsl1zp2LPhk59TIjrkkhzs6WafKgpyQqlBT8bX3KSDnufanL5KO5zVzF2QBCU3hKcuqTFjkN5qGwoygddFwUrHNyGMhmkAezeUFKWRRqwOP7dBCSns7AuL4r6teBze+dKG9/AMAxTXWFRXUGo/zb5U3u3b2EroCoQd/tUkw/1jLFhePPxcJHJsCTodXLI9PHC7SF0+uOI/XmuZZnmFfW6OTRIhofvChT/L/o1wxLbu7KgsHnk2lF762JELnideiOWz7xvaWb6R69HwqgZUB8wuRAxhfH2kuBGmg4qrRFHzmj4FDkR2zp21SdFjm8g9zVXu2ExDMNUR1hUV/QgxW7lD6WXu3kP1IdPiKxoZYn+EVqJlmqyTh84XuDqIZdJ0LtD6S2sJJwbJe2yPLTNyxXtv/ngnQEIC5IhMVWPX3dVfkIYEtYkoL2a1LNZHz5nMqKWvA1ZRCjyz1wWCXFSZsyDIafyLeqeDiUTmjY6DF9OjcZdXf3cXZ0qTXHjGyjWvnnwIiWicofLFMMwTFWARXUFodr3n1PxqenBlTL1E1zr9xRUO2z9HUscqFhJPtVUx9nfp2H6/GSs3JqFqoSPtxTjBpqs6d/9kYWs3NJ1XCrSFYTmsrAQ+N/XB3X2LEfAI/cKP+vMxatxpedo5P253y119GTqRivQtG7lvAmqzpRmfAPd79eHPI+rd4yH5sT5SqsbwzBMVYFFdQWgS0yB7tI14cag7NK6XNugGMbe7VoIi6Xy1nYllldpDFBrzCnKZZWWPpqifJBLMFl9qxr9uvuhQawC2XkGfL/RPZ0Ca1cQ62gflEUz8rMZiFn1iciKp7t6AwkPT8aNZ9+FPs09yWs8HYqHXtU6d55CacY36C4nIP/8VeSfuwx5bKTlM0N2LluvGYZhWFRXDOr9Jj9Yr5aNIAs0RZooK1J/X0R/8y7qHVsrEoaU1vVDIUelWl1H9g/ColeicWdnvyrpPvDk/cHi/192ZiMhxT2D3cyuII5SlPve3hl1di1D0IThopOWs3IT4m8biZy1f7KQsUKlNuDJWQkiosvOw+wqU1ZKM75BUT8W9Y6uRfQ3s0SGVzNJz7+PKz1GQfXX4fLeAgzDMNUCtlR7qD+1mdImjTl/1RRtgzIPj30rQQzgqgjUWgN+2pwFvb7Ar7JBbNV9/d6lpRIdmyvFeVu8LsNjM+KFv/M8av2xAIrmDURUmRtPzkTiqBnQXU9yd/U8Ah+lFAN7+ItU9LUjOfx+eSjN+AZ6g+J7Z1fLsiFXBdXuQ8L/n1yZLOtVGhitBuAyDMPUBFhUVwCqfab41D7l9afW5otXqmXB2sqq1VE6Z9c/0Min8s3/peB/v2TgsxXpqA6QC8tT9weTQQ7bD+bh5CXPjSKh7NgKdf5cYnpVr5Ajb9MeXOkxGpnLfi0kYCjBTE3LzEhvTWjQYqPaVbeTV9WgDl/duFWIWvw2vFs0tKxPn70U8V1HIOfX7W6tH8MwTGXCotrFkBjWHj/vlKWaXqNebDpAWCNLgizSZ+K1uJRgGxc6PjFfrHelxZoE6KAe/gj0k1araAuN63jh7pvH466EMKVF4qVA6ORxqLPta3h3aiWut5TJs3H9/onQno8XZUhIX+k2Alf7Pi7mNUVYK+QSyGQSy7Le4LntWJ0gFzf/wX0sy3T/5G7YbRpXIit4xBjzdaWOZMQwDFMVYVHtYtT/HBNxh+X1YiCPiSjfNuJOgjKoSPx8ii1HgnnMzOuY8EEiNv5d4EcqlQCzvkkV6+lzVwrrHu188d3bsWjdqGQ/76rEY4OC4KWQ4Og5Dfb+V3I2SHfj1bwBav0+H2HvvgCJrxLqvUdwtfc4pH/2PfRJqZaMjTUxMyOJuvV7cvD4e4nIyWMXhMqGOt8iBvv8V+HX7zbL+uyVm3C5w3BkLl1b6XViGIapDFhUV9AgxfKG0iPIh7HuwRUIeWFkseXIxYNcPeyxNtA56wpCERVmLU2xESf+PtXvsokIkWPYHabBV1+tzYDOymfcU5HIZAh+6kHU2f2tyIhHAjrtnYVIHP+GTTlKQ12TXEHIP37FlixcTsgXA1AZ97iFBAy/RySWMZOzbjv015NgyM6z6QCRBdscK/t8ZC9LTGzzMs0ZhmGqAjyix8Wobg5S9HFykKKiXmyxn5Po++0vW8FAfsHkuUCWarOw9pIDQf7lE8H0wKM00EfPa6DVGTHzifJZ3qsKj9wdiA17cnA1SYf1f+VgcO+CCAeejKJuDCI+mYr4Lg+LNxx6a/EskSDp6XdM/3p72YTtq67QG4fJI0Nx+rIWQ/tUjTasCUQve0+4hfj06GBZp973H26MfwOK5vWh3m2KHpL2wWKo9sZZktGkf7BEzCs6IRTDMIyzVD+ToxuhAYaaQ8edtlSXRHK6DpPm3sD6v0yDGe/o7Itpo0KFoCZIUL8yNgwLp0dj2cxYRIXKy/0a94WHQtC4jgJPDCkY2V9d8fORYvQAU0KYZeszkauqOq4DBopdrXPgr2rlH16TXEHaNlbiwTsD8cPGLNz5TDyW/2GK7b18Q6ZpeQPH+q5spEpvBAztC3lkqGVdztqt0CenWQS1GfvsjiUlp2EYhvEE2FLtQjT/nYFRrYU0NAgKu/TTpSXl1c9gzM9H0BPDCqWwJv45oRL+0uTS4aeUYMqoMPRq7ysGJboq0xylHpeSuRsQkRS+mh4tBHZNgMKyrdmeLazVFDpw/OCq0ZkwZ2Y0+1JbXlvYkfbR1wh66kFhLSxtuMaqCgnnpb+bxPPS3zLx7xk1Dp82RXcxrx91r6kTxbiH8Pcmwqd3ZxGWL2vJmiLLhU4bX6n1YhiGKQ/V+6nqplB6yq5tyiVCybcw+8cNyFr6S6GQehTJYOlvGSIlOAlqsh4vnBEtBDVBLh7k6uGsywfFu37y/URcuZFvWVdTBDUhl0nw5E2r/Kpt2eKtQFXAOjNj5ILXbQR1wKMDoGhWX/yft3kvEh6YJMKd0aBGXVIaqivf3BTOZsyCuqjPmcqHfK79B/RCxAeT4NOro8MylN2RYmenvvc/pM1eCt21mjE2gGGYqgeL6goYpOjT7ZbybUACRC58XWTPowx7ZtIy9ZjyWRKW/5EltNKgnv74YnI0akUoLGXIxYNcPZx1+fhydTouXMsXg/VqKrfd4oM2jbyhzTfi69+qjvAyZ2a0f8MRNO5+1P1rOWr/uQSB44ZA4u8rwp3RoMbLtwxF4mOvI2/HP8Um66iKca/HDizeCj12EFupPQUajGjv8mFGtfOgENOZi1cLNxB9WkEqeu25eORu3Qd9Vk4l1pZhGMYxLKpdBAkSSybFrm3KtQ2JXA6/u28T2fMosgNx5IwaT76fgCNnNFB6S/DquDBMeiRUDMayh4Q0uXyUV1ATrz0WLmI2Tx8dhpoKWeYnDDVZqzfvz7Vkq6wqmF1BCJqbM915t22KiI9eRv1jvyDi0+kizjX5Yef+tgMJD74kBjqmz/0WusQUm+1V1bjX5NrRoZnj0I8+3hIcv6DBteSCNzKM+yjJZzr9o6UIe30C/IffA6+WBUlmsldsROIjU5D6yqc25fU0xoBhGKaSYVHtIvLPXoYhPQsSH294ty2wMpcX8mv+fmMmJn+ahLQsA+rHKLBgajTu7Oz6pCvW4fJCAmSYPiYM/r41+9Jo0cAbfTr6ijcDlBCmKmHtCuIo2geFOwscMQC1/1iI2juWInD8UEgD/aG7nIC0WYtwud0wJI59FXl/7hfJOmhwY1WMe00+1fYuH2ZUGiP+OaFGkJ+p80ocPafGrrg8jm3tBkSWUDuXD/vPgx67H1HzX7UYHAhpoB8UDWpDafV2UJecjkvNBiL+tpEFYwwYhmEqgZqtnFyIap/JSu3dsZVNbNbSQpaVzK/XIv/SdWTm6PHKgmQsWZcpInmQ5Xj+1CjUiylw93AV+46p8Mjr13DwpOcnPKlsaJCiXAYcOqUWA0TN2StdmUynol1BSgqf592qsfBnrXd0LSI+fwXKzq0BvR6563ch4eHJuHzLA0j/9LsqGfe6JJ9p6jBZdx5Xb8/GzEUpYm7dueXMjBUPhcsLmT5eDLANnf44Yn+ea1mmeVHh9EKefxR1D/woxg2Y0R47K+Ykvs1vbIiUN77AjaffhvrIqSLrwbGyGYZxBo7+4SLMrh8+5XT9yNt+ACnTPoGhcUO8fscsJKXrhYvHxIdCcE93vwobLLhlfy5yVUb88XcuOrUoPoNjTSM2XI4hvQPw87ZsfLEyHYlpOpFYhAaCOuO37olIfZUIfLi/mLSnLiJjwQpk/7Ae+hupwj2kKsa9Jp9qc5QPomNzpeggmRln53NNb4MuXc9HpxZKyzqKdT3jy2QxIPilEQWh4BjXQ8LZWjzbLxeH9e+jb58uqH9mPXQJyTYx93N+NSWfCXjkXst67fl45G3ZB5+eHZC78S9LTGyOlc0wTHlgS7WLoCQGhPVryLJAg8eyW7TGRq82QlDXjpRj/pQo9L/Vv0Kjb0wbHYan7g/GjDE114e6OEb2D4S/jwRXkkyC2hVZKqtCCnR61e4Qu7jX5IOt+uswDHkFYrW0VPTgR/KpJuFMd8+4QUH4+IXIguWBQYXC6Y0dGIxv3oxFywYF1k0S4Vm5BmTl2sYAp7CL9HaHBrMynocsJBDeLRvZrIv8bAZCJo+FsmMryzqKhpP6+ufC7cner5tjZTMMU1aqj6nNjVCIJ92VREAqhZIGf5XDp/mjS03xV+sZQrT07uCLyY+GimQkFcGFa1o0rGUSDmQNf+iuwArZT3WAfG/7dfPD6u220QXiE00D3Ch0YXWyWBcZ99o6TacV2d+uExMUcni3aw6vzq3hL9fAcFsOEB5S5PbNgx9p+xVp8SbhbC2e7ZcdYd2JpSyb7Zoq6fAs5KgMIkoOBUv54Z1YRIeZPtRoDeJ+qkkhKKsK1Ca+vTuJyRp53Vj49u0G3zu7wbtDC4ul2hEBowYhZ+2f4jpXNKhVCbVmGKaqUf3UgBtQ3Qyl592mCaT+prjRpYH899I+/BrbOj+Iv+oNxqCTazHo2GqENnoMfj4Vk5KXLGxfrErHcw+GcArnEiDf6TEzrwvLtDWkmSgBD1EdXUGsBzvSoETyoTa7fBAR81+DxEuB/PNXkH/6IlR//wt9Ygo0/xwTE0XEvvr5LyJKA725oRCTym5tIY8Ot2zD4eBHD3QjkckkaN3INoKISmMQ4xwSU3UWQU18uToD+4+pRPbRihhQzLgeipFNkxn13iMOQ/vRwEnqKt14cqaImU1+34RBrUHySx9B0bA2QiaOKtd4Gmsifvsb8U/MEcluaD/0jCALOg3U5DTtDOP5VC8l4Cbytu4Tc69WjUv9nbTZ9GO5RPxQ33lgJepfPY5G100pzmk9fVARP6I0CJKoCoPt3A25eNgLasI6USF9ToMY7+7q7zDMYVVGWI4dCF3vZvVt4qiTvypFDqHkR3l74pC2fR+8b6RDe/y8mMyZ8ihKg1fbplA0rQdZgK3oJOFutpCX12JN1m8S585sozREBMsxdVRhd6n/zqqF65avsuANEwnvTfty0bWVEs3rOw7vx1SNWNno0wXKrm1tfud1l68jZ9VmSAP8EGL1e5369kKo9hxG8NMPw3/IHWKdiKSTkS0y7jp6m5E5dzmift1jqssHi6HaG2epj9mCzsKaYTwbFtVOQg/ynJ83i/+zV21CyJRxJT7QVWqDsFBb/6yaBbUZsk5UxA8oDd4iy5v1YCzGMeYslWZhXUTmb3zyQzrmr8pA2ybeaN9MiQ7NlGhcW2FJ9V6dXEGs416bIYGgqB8rJp8H+mL/hg3o16kbdAdPQL3vX2HJ1p44j/yLV8VUCAkKLOFeCtTdsxyK+mV7vV5Z7iTFsWB6NP49q0HbxgXimSzXy9ZninjzcydF2bh81fSwlVUtVrZqxz9olLTLZp00KAChrz4JozbfRihr/jsNzeGTMKgKxhrkX7iKK7eOhCw2EvWO/Gwprz50HEadHpmzv7Hdn53Ar6hnAsMwroNFtZPkX75eoLTydSW+xr54XYvZn55Dy6b34p4z64ssR6//XAFZEbcdzMPtHX0hk5r8PTu35CgfpcGcpZIs1uRDbXb5IJ4ZFozsXINIDHPykhbp2QYR95gmItBPinZNvYXA7tBciVoR8irra2vtClJaK7AsMhTKwX3gP7iPWNZnZiP7p41Ife2zwoWtOyrafMR3GwFFvVjxSp2s29ZzeZ0okSTJnopyJymL9VvpJUXXVrb3Vq1IOXq190HbxgWdWJ3eiEdeu4aIEDk+ej4C4cH8M+wJkIuFtU81uXwIC7XV5/aQS1PIi6MKrQ9//0VoT1+Csn1zyzrdzQG5MjtLNRlYVNsPwOee26DaaLJUF/VM0KekQ6L0hsTPp8J+T8wuJ+yCwjBlh3/NnXjYkk9p9k8binyNLY8JR/7Fa0IMSKRSbNqXg3PTv8JLx3/Bntb9oe/UHrKDcYW2TT/m5E/nCsjPc/W2bMSdUePlEaFVVti5U1hHOYikRiKJsleaOy4Xr+fj8Gk1Dp9S479zGhExYlecSkxEZKjMJLBvTqFBBQksioPcdEjUu3tAZFGuIKVFFhQAvwG9RGp0y+BHs+lfYies9QZh1aOpEHIZFHVjLCJbGhIAWUiQsBRWhDuJs9ZvClNpH6ryTFyi8MtOz8hHaKDMJrxlZq4ePW7xtfHVNieyobjblFp9VP+gguWBQXi4rbpS3F6qO2YrsCsEpVeTemKyhkL9NYjfCkO6bfx0eWQo5HWiEfDUg0i+fAX+J+OLfCZcu38i1H8dRuRXbyJgaF9LWEDKOKloXBehU8ZZvqM9fdG0/drRIuFTaRDHy2EFGabcsKguQ3IWCv+lOXJK+I6qth0oXMgqhq9RoRDZFZGVg+i9P2LBfh9s2JuL7r5RMEKCXroz0B8873BfZB1Jn7OsTMK6qIdub2GhBprX82ZB7SJXEJrTckGzS0Q0FZqG3REoLJGnLmkRRyL7tFqkw05K02Pj37liMsdEphTaZMW+pYnSYaQX64GSlT0gsiLEfJGDH41A5ILXkR1VGzkKfwT4yxCUngjdxWvQXrhyc34VukvXYFRrCwT3n0Xvy7JtmRTBL46GV5O6kIUFm6aIEJO10EtR7HFWhPWbhLpyyEh8YlAgMbQOboybiZjWJleXNTuyRVxsfx8p7unub4kosvyPLPywKUssL/0tE/+eUVsyRVIc7rTZazDw6OoShT9dg0lZPmJeK0pRaf7p5nMckJWMUH2Oy8R/RfjQBzzUH359u1tcnMoSK7s0dZT6eEPqE2lTJvKLV8U85aOvHQpq62eCMdv0+2HIyBLbpm3mX7yOnDVb4dWmiY2oTp42F+o9cTYCXHPiPFKmfgKvZvURMWeKpWz2r9thSEozjedxgQuKM21TlKU8aMJwBDxwl0vbu6h62teB/N1bfbwUmVNSET71sTJvryLq6CnbY6qgqP7yyy/x8ccfIyEhAa1atcK8efPQs2fPIsvv3LkTL730Eo4fP47Y2FhMnToVEyZMKPN+s75ahfyzV6H57wx08Qklf8HK4VaSn48EnwhEe+fjkzknsV3aTBjmWj5xF+qtGIr4RvcUu6m0D5eUWlSTgDYnubB/6O44lIdhdwRgYA/TQ5px3hWkJKEpvxkxgiYK30ZWyWPnNcKKTSL73NV8XEowTWt25FAkRjSv5yUENlmxWzbwFoMerQdKmmNjO7Kau5qKFPNFWbxJUD+2yv/mPvVYNvMWRPXsaFPGaDBAn5As3v6QqFbt/w85KzcVv0O9ARlzbH1VLQT44QYCkO0VgFxlIDreFg3/2FAK+QGJtwLGnDyb4ppTF8TcmYeRWaj7QYtGN07hjQ/O4d3PohAZIkPfzr4I8JWio9V4h7+PqiyC2ox96vVfm90vRHVxwp/a9LH3kpCva46f/0nCt8W0qSv9083Xkn9WCm69uAu/t7wfQ079iKeXP4Kf/lNarO0lhTmsyDqWdZvFvTWwPo6y1tHep9rRM6Hu4VWI7/oIUqbNheSN+WKbXo3rIuztZyENsP2NJ+u0NDgAsvCCMRC6a0kiUVlKYi4efiZeHMPDbdQ4OfEzhOWm4HpgLcRmXSuyDiQyKTY9dYqDxg6BsksbS2r43N93iE6rd4eWluOmMRIxqz6Bsm3TUkXGKs5SnrlghZisz2Vp28IRRbVPUXWgF2qZHy+FVCZ12LFw5pq0P47tTy1EnTXf4/KA4Wiw9RdL5z7o6YcQ/vZzpdpmWY7ZFS5AzrRFdXJD8nhRvWLFCrz44otCWN9222346quv0L9/f5w4cQJ169YtVP7ixYu499578cQTT+C7777Dnj178MwzzyAiIgIPPPBAmfa98rcUDDu307JMr5v1GdkwpGUKCxg9sIsawaaVKrCoyzNIDq8HtV6KkAApXh0XLoRTef33SpuO2f6hS+4fzwwrOmYw45wrSEn4eEuFH7vZl50isBw5o7G4i1xL1uHERa2YvvsjSwjZRrW9CrkAVFZs7MoQ8/aDH3O8AqDVGYvdJ7lQyWtFicmnRwf43NEVub9uLxxL2/p+lElFDGJKTkOCU5+SAT0JTwoynZ2LKNCUKIrqVgIZxdQ5+blZlv9lMRGQBQcI31YhXvx9HfzvK5Yl/j4wqjRiMJohJd1mm7HJF5G5JxCht0TjgTti8MAdtjHjqQNWEoOP/yzmfzbuh7+/k6DvkfMYfqe/5WE5+/tU5KmMluRFNKdOHg2erButQAurqCSXE/KBi5nQaXWQucBCb76W9BIZfm81VKz7pcVQXFqWhyPXCqztRFkevBXxFqE02yzOgGF/HGWtY9DksUK0FfdMENu46epk3iZF4qEoI/bEfP9hoXXebZvi9HPTsTkuX3hc0THEHdajTWRrNEi7gB86jMWTV35GyLkTRbugDH5ehB70u/s2y2e6i1eFBVxePxbRi98uuCe1+UgY/DwiPpmKwFGDTKtOXxTboPu4zp8Fz8CMBT8VihPuKBoLbZss8JvOSvDbmTAY/SPFcRw9mY3EgxcRJVVg6e+wtIVBpRG/B9RRptT1Zopqn9IkAXIk6sp7TdpfU/Ily9Fl5wqxXH/9SiT5RiACpuyg1KmQBvmXW1SWpo7lcQEqy31R3d2QPF5Uf/LJJxg/fjwef9wUF5Ss1Js2bcKCBQvw/vvvFyq/cOFCIbapHNGiRQscPHgQs2fPLrOo7nN+i3j4Ry9+S7xaI7/QxMffFGmbQ2c8AZ/enUWPPfkZ06tmnUSGyxOnYPnxQKi8/JDmGw7ogXrRcnFBNa9fkKlN8fRoaFJ18Fr8LcKsemI0aCVr1CgEjBtpKZuWqcfeoyoovSTo26UgFNn2g7m4mqTDoJ7+WLfbNjmJNdRzZDyHIH+ZSPBDk9maRwI77pQa/5xUITPHKAY/0mSN9UBJuqbIZcTbSwJvhURYtmnu7SW1+l8CL/nNz6zL3fzffpnEPiW7oTBwFS3mza4gyRdThaCOl5CCTi3TPot2JzEKdxLyaXVkVU5M0SLreiYSzqbih58uI0CTjQBNFga00CEo6QqkW6zSshcBWcxpcpbRh5cAjwHipb9MahqE5u0lXFNIBNzt5YVOvuFYWGcYzijrmDoMVjS/cQwDT/4i/k/zDcXlXCWufPs74qetRNCTDyLbJxAbrvQWn/e4sA1SoxEGqQz7VjfFn1mx6BOVjkkd0iGRy6BPz8KTe1oh36jEB8oQhKlM7fHzqstYuUSB3nVVePZuhcmgIJVi1kYp9EYpnr4DiKQxAjIpztwADl8yItQPaBIjRcKpG2ialIAzES1s6n3kmrSQYWDk3X7i+LJUJPckwg2G4oQT5FJF2SsNCUlQZGVafObpN5fQnCm/D735dbh5m8X55ZdkwKDPzT7updmeNUGTRuHMmTOIWrfXoesDuaWUdZv2yKPCMOdGGxhjbdviSKcnxP8DTqx1KKitXVCCHn8AfnffCq82BaEFJQF+8LmjC6S+PoXqKFF6iY6s2V3FkJMHQ2omDH62lmvV3n9RWjKX/YoW/xxD+1sexZamprTzF/69gQ+3vCIMWs8+8I1oC3ru0uDorG/XidjidE6pHtQJSBj9is02qd7Zq7dAFhUKfWLBb1FRQQRy1u8SA0wpxKKyQ4tCx60+etbSNhTHn94QUFnf2ztbymSv2IjTy5LhXbsrNHKTwa3zTUFtJjzP9neGXHTITYnOpS4pDborCZAGB8KrUZ2CYzlzSXTiaewJuRyJY45PgPrIqULHrE/PhCQwAMrWjcXvTmk6FTQ419xBoTeIy9elQgqJ+G2x3Bdmw4ZEYmmL0lLejo0nIDHSKCsPRavVwtfXF6tWrcL99xekTZ44cSKOHDki3Dzs6dWrF9q3b49PP/3Usm7t2rUYPnw48vLyoFAU9iXUaDRiMpOVlYU6deogLrQb5N4BeGnQAhjkCpFVzT8vAyq5D/IkJutOZHYC3ts4Wfx/JKYD5vd4ucjjeemRIPTr5mu56GZ8mYYGsXIsnBZhKTP1i1T8e1aLGWOCcXsHk2WTLJiT5qUiJkyGb94o8Md7439p2H9cI7a77ZAKR87YijCifVMvfPBs9UpBnp+fjy1btuCuu+5y2J5VmTPxWjw/p+gfdHej9CbtJDGFg5SYxhiSzqM1Qu9JjNBqtFCSOLz5ubmcOcSgeb3eYERSesnp3mPDZcKlxvRlx2Wiky7giRUzLMuLH3ofiZENbcrQfkmcXU2yTTluTWheCt79YzIUBpOoN0gkJiF6c07opHKs7f8i8r2U8NKqochXw4smrco0F/+b5vRZQE4aYpJNg8bKw+8thuDX1g8W+fngY6uEsE7yi0SKXwRCVGmIyU6wiM7NzQZAK/PCwBNrITeajv3vuj1woO6taJsQJ4wH4lghwcv3fQmtzBsfrH8BAVpTR31988H4pc1w9LywDaMPFVgSn71/CbRyJWatfxERNx/8ZC3/qf1odI7fiyf3z7eUfW7IYmgUPiUeAzHt3k+R5heOV7a+jgYZF8UbiH11b8OSThPQ4sZRvLTrA8v33uj3ERICa2HyjnfRLPmkWBfXsDsWdHgGjTPOY/rBOZaOyPudXkZ8QF08c3QR2qSbyp4MaowvWz+B2pnxmLLjXct2v+z+Ii6ENcaoQ0twS0IcpJFhuBRcH7NbToBKUbQbw5DL6zHgwA+4HlAL82+bhEB1JqbtKEic9FO7UTgW3RaDE7ehe+Z/Yl2yVwg+aToePno1Xj70kXjm0TiNVbH3IC64FfolbMdth9eJsQdZ3oGYfftrkBl0eHNLgSj8veUQ/NOgJ+5I3Y87U0x5E1RSb7zXlNweJZh5+nPIYbrX5jQci2OBTR3W/3+rHrW5xUzdG1sUzerjjSbPwgAppl74GoH6XBjzddhpaIgtTfqj3fVDGHLz7QnxQZ83oZYr8fzeOYiK9hGdr3+9G2BXSEdESvPwcOJGUY7E9lb/9miceAK1M+IL1SMxIMZyXRPxQXXxR4v7cLBOd7EcnpuEadvegk6qwIwB8zA0cSvuS94BXUIyjJk52NJ8AJp4ZaD+0b0WwWeQSLGky9N4wupaJdJ9QhGsSit07FdD66FBlEk46pNSRefg77q3wV+bgzaJtp2Cr7o+j6f2fy6uP2lIoHjDfahuN8hiwtE5y9Rx0Z66SCIM0wZ8ajLCkb7Z9QFa3zAllHPEgdpd0eXaAcgb1TF1UBJTcDK6DdIaNsft6SbxqT0bD4lOh//1fBHPJKyB7vwVyzGfC2uCyyENcef5zWIdXRXUxf128GuY8mkfqOd/Z/PGxBE/3TcDE+bcKaJcUcci+dHpuBxcH+/e9Z6lzNTtb6NJymks6P4C2jx5J0b0C4B6/1EkDZskBtXGbC8QzsljXoV69yGEzp4Cv6F3Ch/24upAHbWQWRPh/3B/pKamIiYmBpmZmQgMdH92aI+2VKekpECv1yMqyrYHTsuJiaZXtvbQekfldTqd2B6dfHvI4v3WW28VWv/2Xe8hM6QhjBKpuKs1+YBGYRujl35gqWfsZcgXN2hxHIo7Bn1aiqmeGb4I8asH5GuwYcM/ljISTS3Ehvji1PFzyEvMFuvSc73RKDIWvt752LCh4HWgjyEcrWv7YOOuFJy4VpCtzpq4M1rM/PwQujQyhXOqTpCwrm5kqRSQSVtCbzBdSxIYxcBW68ebVGLAna3i4SU3QKeXQmeQiPLm/01z07LebrmgrMRqnRT5OtpTyXGT1aLv6agfbr1OgTxtyWK5tFxPKVoEm8nJK7gPaX42xxdphrInOKIH22v9Z8Nfk42YrOt4/MCXYj0J6sVdnkFCYCxyvAMsD8DS/IKSUH/nj8mibmbxKoXRMifypXJ8fPtryPEOhNyQD7leJ4S93KDDmfCCsGwCETGl4HH/a6thQpBG5CYhMjdJrNNLpDhYuyvyZV5CZEsNehyp1QlSox5SgwH+2mz0PbsBMoMeZ8ObQanNRZ2sq5i77ulC9b/9/Fa0v3YQSp0KWV4B4veQrpZh//4gxLpcny9EE4mDiJwbuPXiDtRPu2B5WBO1M68gPrieqI+Ntd1oFG8JzIJaYOk/GU3HqqfJdD1J7C49y6KVbcioyRd1NOiNItmKGa1RJupryM61uOHky9TI8/IThhJrqI0zfUKEQBNtlpQKtSFc/N4rdJrCx0Gdv8yrQlATOpkcSQEx0MptE/5kKENwIyAWOWfzxQBcQuOvR2LbSPhqc0XSJD1MdUsPkyHBJxI52XrLgZIbDXUiSFRbk+kdjOu+0ci8qIPunGmwo1bhi2u3RJvqQ+tudqhifc6YRLXddWS+lqwFcbJfpOWaMpN/+hKutY6EXiqH5sI15KtNTlPZzdrhWnBd1Eu37UBeD6otzht18IS4o0GzjZricPMO6HhlH/JPFZTXNJWhTkbhwZpUS2tBTXzVfSKSAqItx5HiF4kpg0zi2Febg/67l8LsPDWrz5u4ElIfz/81x3KtnA5rhhXtR0N287yYOR7ZGq2SjsERtdMuIz+tYHlvPeqc3obul3ZbtUUgDtbphqvBtU0rSLimZeJURAv8F9kWjZLOIv+iaXwG3TfnwptCOFvdPI6/6/dEw9Rz8NGpCnUsqMNL4xK6XN1vaWcaE3LDNxK5aRrk3xz3QVok1zsQ15VRlnIE/TZmKYOQpQy0umck0EskSMiSYuOmjVA0C0PjWuFQXjNpFev9G5QKyNT5SEzXY/OWrfD10sH/6AWRRbeglMRy3ERYgArB+t3YsAHwPXMFDfUG5GRmYQOtuEm96wkIUGvxb9xhZCg1QLMwNKwfDd9LtjqPtqgL8IEiW4WjcUeQHmgUxlJPwqMt1devX0etWrWwd+9edO9u6o0S7733HpYvX45Tp2xfZRBNmzbFuHHjMGNGgdWK/Kp79OghBjpGR5t+ZEpjqX5/8Tnc1ycaGdkG+HhLEBEiM1nkpKbkDYS/UoLMC4mYMz8e6fIApPuGF0QKs3LtJCv3169GitBqruaeiQkOZY4ZusQ3flq4M1FVqc6WaoKiM2TmGnDlhg4fLi/w8p02Khh1ouQI8pO6/DqifZoGspmWHV7DMmDW06EiHCCtE6uNJPpvljGSC6UOf/+9D926dYNMLrd8l35mxHdufo/maVl6vL8sAzp90fuUy4Cpo4IQEmDaZ1HQR9IbSZBkZsEYFAhDlG2EBfMNkp6tx+zvM0vc5+QRQQhLuIjgp563bCLjq8+hb1r6rKnW5FxIwPcrriMyo0CoE4u7PoMEElneAcgKCBf7DQ6wbds/D6qw5YApNCPRuLYc567qHFp5s1+ZAn29uuIcpPmGYfYPJR/ryyOCEJqXipDRj0Ni9teltxEGo2Uu1tGr4W8XFz63dmRk6zHnh0wEZhd0Jkqyto++wwsP91KYBAjt10B2UOpOmiqr0+mhvpaKlIenQKG++RCVSqCSKmGQyeCtVZms8F4KBC//EOqgMEglRgSJN+qm+qfmGIV/d7DSCCX9bBiNyL2airMvfg6ZRmOytt88OUn+0VDLvMWrd19oEbHkbWiCQ/H1AS9sOl10ZswRTdLQ5+NJUBtkuBJcT9SpQdp5y3aprbP9gtH8tUcQUcf0OpyMNWdT5UL0Zl/ci86dO0Emk+NqlgyZagnCNWmQvPyWcIanzteFsCZiW81ST1saMjG4FozTnkN0rC+i/E3PJp0BOJFs+n1sHZlv6cAtPuyP387aZjS15uXt76J5yknh4pP/8ZtQbzsA//Xr4f/QPfAbdpco898NL7G1luFa8bugT07HmemLkKQMR5AqA7E5N/M3SCQ4Hd5ciLyGWRcR+8kkyMJDkJwnxfVsOYKUBtQPKriWbwyfXNTLqAJunstlHcfjr4ambJWOeLRVNoa3ML1tOZ2qgFonQT1DCrRTZolzme3lj6sh9aHU5pneiNw8l46s8/ZErpgt5mcuqnD9s1WolXoZQZpMUbc8mRKXwhpBodOiSeoZ8fAPmzcNl+URyNJIUSdQhzAfUxupdBJ8FReI7ZcL3n6QC451x8Ye8rGOzE8X26RzGZ8lR5pKihh/PaL8TDd7vgE4nmxyN20ju4HUFz8Ux5zoH4M0vzCE5yQjUpUkxqBQ5/5UrVsQNncqOtwahZxPi7dU5456BKoxj6JNUx8o5BLxluLrlTewbo8aaqu3ONRJpM6fSuGDRweFCks1+XFTJDVyHaFcBmb0yWkishNlG6VxKCVZqv3HD0Xw5LHCv9zTLNUeLaory/3DHhLVQUFB6DX+GHYublWmsFH2SUJeGRsmBgNV5OAy60ECRMfmShw6VZDJa1w5R996sqimXi4NSK2OotraFWTCBwU99YXToy2xsSsCV1zDZW0bd9w3pd2nqyNMiP3+cwqykQXW4Hf6vouRkzqVeKxFjawf2SkfvaYV+BbW3rrYJoV8Wc6vtW+xxT+dBEQx/unFHmuOAdf+u4Zl38cjPri+nVXUVrrQf39+WXjguT2urGN5tnnnM/ElGzBe8S5XHYu7d1x53IWPwb4tjNjwlLrM59IVdbQeoEZQWnjyRbaHtjlkW7Obb/EcU9Q1VVI9ya+aBgQWOWB0+ngbf15nj9u+PUp0wZEAdQ//XGFtcz6yl+PUwZb9SwplFi3NffFnKe5vM2WpA4nq8PBwjxHVHp0n18vLCx07diz0mp+Wb731VoffIYu2ffnNmzejU6dOZRZgD9PAmVJCDyYSPPSgsoaWaX1FRmsgwUzCmS7ccYOC8PELkQXL1UxQ18TY2IR9bOyKwB3XsCfv0zwQkoSqK0K20XYbtIqA0cvL8iqWLNSlOVa6h+mhRILaennk3f5C8BOOUsiX5fzS8ZEgt09aQsu0vizHb95vrba1EB/SAEE3XQTMtK9l6x5EYbdKgyvrWJ5t2teTDBj2x+HuOpaE/THYt8XITrpy1dMVdSSxSqKVRBMNLKz1+/ybyyi0zbEDg0tsi/LUk0LWWdch9ue5CJoyTohGmtsPkHP2uO3r+U9v20guNE7CmpBp4yu0bewjj1Gnwnb/hSOTlea+KAvlqYOn4NGimqB404sXL8bXX3+NkydPYtKkSYiPj7fEnSY3j9GjR1vK0/rLly+L71F5+t6SJUswebJpMGFZGH5ngMcLoZIeuiyoq35sbLJQV2biF3dcw566T/PDyFVJEmg7fpu+xQf93sXr/WcjJzDcqWMtrfCnfZALmvhOCefXHO6wKKFennNMfqsDj68R1qchJ9fggzG+TnX8XVnHsmyzLAYMd9WxJOyPgdpi8ClT29CcOmrurCOJVrJCmvM00DJZZu236awxqbh62teBIrMcXzxZzF193PbH8cjPzyJ+6KNCxF8aMByRuoK30BSn2pmoF6Wpo33HhjoV5mV7K31FGfZCy1EHT8Gj3T/MUIzqjz76SPhEt27dGnPnzhVuHsTYsWNx6dIl7NhREAaL3EJIfJuTv0ybNq1MyV/M7h80sDEsrOyRMzwltXR1paa4f7iT8l7DzrSNO+4bd92r7tjvtRtqbNi8C/fe3Qu1omwtSfbU1IyK7sxeV9p7p7odd1XYJreN55LqYe4fVUJUVzbOimqmYmFR7blw23gu3DaeDbeP58Jt47mkepio9nj3D4ZhGIZhGIbxdFhUMwzDMAzDMIyTsKhmGIZhGIZhGCdhUc0wDMMwDMMwTsKimmEYhmEYhmGchEU1wzAMwzAMwzgJi2qGYRiGYRiGcRIW1QzDMAzDMAzjJCyqGYZhGIZhGMZJWFQzDMMwDMMwjJPInd1AdcScuT07OxsKhcLd1WEcpIzNy8sT6eS5fTwLbhvPhdvGs+H28Vy4bTyX7OxsG93mblhUF5FLnmjQoEFltwfDMAzDMAxTRt0WFBQEd8Oi2gGhoaFiHh8f7xGNxNhCFuo6dergypUrCAwM5NPjQXDbeC7cNp4Nt4/nwm3juWRmZqJu3boW3eZuWFQ7QCo1uZqToGbR5rlQ23D7eCbcNp4Lt41nw+3juXDbeL5uczeeUQuGYRiGYRiGqcKwqGYYhmEYhmEYJ2FR7QBvb2+8+eabYs54Htw+ngu3jefCbePZcPt4Ltw2nou3h+k1idFT4pAwDMMwDMMwTBWFLdUMwzAMwzAM4yQsqhmGYRiGYRjGSVhUMwzDMAzDMIyTsKhmGIZhGIZhGCeplqL6yy+/FCnGlUolOnbsiN27dxdbfufOnaIclW/YsCEWLlxYqMzq1avRsmVLMcKU5mvXrnV6vzUVd7TPzJkzIZFIbKbo6GiXH1tVx9Vtc/z4cTzwwAOoX7++OOfz5s1zyX5rIu5oG75v3Nc+ixYtQs+ePRESEiKmvn374sCBA07vtybijrbhe8c9bbNmzRp06tQJwcHB8PPzQ7t27bB8+XKn91tqjNWMn376yahQKIyLFi0ynjhxwjhx4kSjn5+f8fLlyw7LX7hwwejr6yvKUXn6Hn3/559/tpTZu3evUSaTGWfNmmU8efKkmMvlcuO+ffvKvd+airva58033zS2atXKmJCQYJmSkpIq5ZhrctscOHDAOHnyZOOPP/5ojI6ONs6dO9fp/dZE3NU2fN+4r31GjBhhnD9/vjEuLk78ro0bN84YFBRkvHr1arn3WxNxV9vwveOettm+fbtxzZo14vNz584Z582bJ/TBxo0by73fslDtRHWXLl2MEyZMsFnXvHlz4/Tp0x2Wnzp1qvjcmqeeesrYrVs3y/Lw4cON99xzj02Zfv36GR9++OFy77em4q72oR+4W265xUVHUT2piLaxpl69eg6FG987nts2fN94RvsQOp3OGBAQYFy2bFm591sTcVfb8L3jGW1DtG/f3vjaa6+Ve79loVq5f2i1Whw6dAh33323zXpa3rt3r8Pv/P3334XK9+vXDwcPHkR+fn6xZczbLM9+ayLuah8zZ8+eRWxsrHjl8/DDD+PChQsuOrKqT0W1TUXst6bhrrYxw/eNZ7RPXl6e+Cw0NLTc+61puKttzPC94962IcPxn3/+idOnT6NXr17l3m9ZqFaiOiUlBXq9HlFRUTbraTkxMdHhd2i9o/I6nU5sr7gy5m2WZ781EXe1D9G1a1d8++232LRpk/CHo89uvfVWpKamuvAIqy4V1TYVsd+ahrvahuD7xnPaZ/r06ahVq5bw3y3vfmsa7mobgu8d97VNZmYm/P394eXlhQEDBuDzzz/HXXfdVe79lgU5qiE06Ma+t2K/rqTy9utLs82y7rem4o726d+/v+X/Nm3aoHv37mjUqBGWLVuGl156yYmjqV5URNtUxH5rIu5oG75vPKN9PvroI/z444/YsWOHGFjlzH5rIu5oG7533Nc2AQEBOHLkCHJycoSlmp7xNKjx9ttvL/d+a6SoDg8Ph0wmK9TbSEpKKtQrMUMRIByVl8vlCAsLK7aMeZvl2W9NxF3t4wgaFUziml7PMRXXNiXB947nto0j+L6p/PaZPXs2Zs2aha1bt6Jt27ZO7bem4a62cQTfO5XXNlKpFI0bNxb/U/SPkydP4v333xeiuqLvm2rl/kGmfgqNsmXLFpv1tEyv+h1BFkv78ps3bxYhWRQKRbFlzNssz35rIu5qH0doNBpxo8XExDhxRNWHimqbithvTcNdbeMIvm8qt30+/vhjvPPOO9i4caP4zNn91jTc1TaO4HvHfb9rZIWm81/e/ZYJYzXDHCplyZIlIlTKiy++KEKlXLp0SXxOoztHjRpVKETLpEmTRHn6nn2Ilj179oiQLB988IEIn0PzokLqFbVfxr3t8/LLLxt37NghtkfrBw4cKEZrc/tU7L2j0WhE2CmaYmJiRAg3+v/s2bN871SBtuH7xn3t8+GHHxq9vLzEOutQoNnZ2XzvVIG24XvHPW1DIXU3b95sPH/+vNADc+bMEXqAwueVdr/OUO1ENUHxIylEFF30HTp0MO7cudPy2ZgxY4y9e/e2KU9ii0KuUPn69esbFyxYUGibq1atMjZr1kw0BIVeWb16dZn2y7i3fR566CEhHOjz2NhY49ChQ43Hjx/nZqnge+fixYvk8FZost8O3zue2TZ837ivfWhbjtqHQrWVdr+M+9qG7x33tM2rr75qbNy4sVGpVBpDQkKM3bt3FyK6LPt1Bgn9cd7ezTAMwzAMwzA1l2rlU80wDMMwDMMw7oBFNcMwDMMwDMM4CYtqhmEYhmEYhnESFtUMwzAMwzAM4yQsqhmGYRiGYRjGSVhUMwzDMAzDMIyTsKhmGIZhGIZhGCdhUc0wDMMwDMMwTsKimmGYSkUikeCXX34ptszYsWMxZMiQUm/z0qVLYrtHjhxBTaSs54tx/nzT9Vaaa7ms7Nixw7JtblOGqVqwqGYYplLFXEJCAvr371+sGP7000/xzTffuLRlbr/9drz44ouF1tN+goODUZVx9nxZi0Tr6dy5cy6tZ3XinnvusbmWiaJEdlnuk1tvvVVsd/jw4S6tL8MwFY+8EvbBMAxjITo6usSzERQUVKXOmFarhZeXl9v274rzRSJx6dKlNusiIiI87lg9BW9v71Jdy2WFzi1t18fHBxqNxuXbZxim4mBLNcMwLrUGv/DCC5g6dSpCQ0OFOJg5c6ZNGWtrXoMGDcS8ffv2Yj1935Flb+PGjejRo4ewKIeFhWHgwIE4f/58hbQcbXfw4MGIioqCv78/OnfujK1bt9qUqV+/Pt59911RTxK0TzzxhMXi/fvvv6NZs2bw9fXFsGHDkJubi2XLlonvhISE4Pnnn4der7dsKz09HaNHjxaf0XfI8nn27FnL5+btbtq0CS1atBB1MltJzdifL4PBgA8//BCNGzcW4q9u3bp47733SiUSrSeZTCba5LnnnsNLL72E8PBw3HXXXaL8iRMncO+994r60LkaNWoUUlJSLNuj46bjos9jYmIwZ86cQm8LHFl26Vitre7Xrl3DQw89JM4PtT21Db3hsD/22bNni/1QmWeffRb5+fmWMiRO6ZqsU6eOOM4mTZpgyZIlMBqN4hzRd605duwYpFJphVxj5rcz9pP52mcYpurCopphGJdCAtLPzw/79+/HRx99hLfffhtbtmxxWPbAgQNiTqKVROKaNWscliOBRqLun3/+wZ9//ikEz/333y/Eo6vJyckRYpHqFBcXh379+mHQoEGIj4+3Kffxxx+jdevWOHToEF5//XWxLi8vD5999hl++ukn0REg/9ihQ4diw4YNYlq+fDn+97//4eeff7YRhQcPHsS6devw999/C6FH+7cWhbRdEn70/V27dom6TJ48uchjmDFjhhDVVC8Svz/88IMQvs60qVwux549e/DVV1+JturduzfatWsn6k7HeuPGDRuXhSlTpmD79u1Yu3YtNm/eLM4FnauyQMfdp08fIczpuP/66y9Lp4Is5mZoPySAaU51JVFuLcxJ3FObUNucPHkSCxcuFNshMfvYY48VstB//fXX6NmzJxo1agRXQ8Kezp95omuMOgK9evVy+b4YhqlkjAzDMOVkzJgxxsGDB1uWe/fubezRo4dNmc6dOxunTZtmWaafnbVr14r/L168KJbj4uKK3a49SUlJ4ntHjx4tdjvWUN0UCoXRz8/PZvL29jYGBQUVe5wtW7Y0fv7555blevXqGYcMGWJTZunSpaIO586ds6x76qmnjL6+vsbs7GzLun79+on1xJkzZ8R39uzZY/k8JSXF6OPjY1y5cmWR250/f74xKirK4fnKysoSx7Ro0SJjaaHvy2Qym/MybNgwy3lr166dTfnXX3/dePfdd9usu3Lliqjn6dOnxfF6eXkZf/rpJ8vnqamp4rgmTpzo8FowQ21Bx0wsWbLE2KxZM6PBYLB8rtFoxHY2bdpkqTu1h06ns5R58MEHjQ899JD4n+pD+9myZYvDY79+/bo49v3794tlrVZrjIiIMH7zzTfFni9H1yftR6lUFrrG5HK5w/IqlcrYtWtX48CBA416vb5U+2AYxnNhn2qGYVxK27ZtbZbplXxSUpJT2yQrJFld9+3bJ1wMzBZqstiStbi0PProo3j11Vdt1pF1fNasWTZW8bfeeku4cVy/fh06nQ4qlaqQpbpTp06Ftk/uG9bWTbIOk9sHWUWt15nPB1lNyQLctWtXy+dktST3EfqsqO0Wd07pe+TucOedd6IskEV4wYIFlmV621DUsZLFmazC1sdl3VZ0vsiS3L17d8t6cgei4yoLtB8aLBkQEGCzXq1W27hmtGrVSriqWJ+fo0ePiv9pECx9RpZ1R1DZAQMGCOt0ly5dRLvT9h988EGUh7lz56Jv374266ZNm2bj8mNm/PjxyM7OFm9y6O0LwzBVGxbVDMO4FIVCYbNMr9idddMg9wt6bb5o0SLExsaK7ZGYtnYBKA3k/0w+tNZERkbaLJPbAvkvk7sFlaUBY+Qbbb8va9FZ3LEXdz5Mxs3C0HoqV9x2i/ou1bc80PHYnxvrz6yh+lObkIuJI5Fq7RNeHI6Ow9rthfbTsWNHfP/994W+az2IsrhzXJrz8fjjjwufcBLE5ApCPtzUkSkP5Itufx6pU5CRkWGzjnzyyW2GXKDsOw0Mw1RNWFQzDOM2zFEkHFnxzKSmpgrrK/nykp8rQb61FcXu3buFnzP5bJt9rK0HxrmSli1bCks4+Z9TKDXz8Z45c0YMSiwPNAiPhCT5npNYrAg6dOiA1atXCys8WdrtIVFJQpfeLNAgSfOATDoua4sxCWPrAZckxsmP2no/K1asEB2fwMDActW1TZs2QmDv3LmzkAXZDPmwU8eBLPV//PGH8N+uSOjc0VgD2ldF+G0zDOMe+H0TwzBug8QSCUDzQLfMzMxCZcxRH2iAH7kCbNu2TQxarChIEJJLCLkN/PvvvxgxYkSFDIg0C2CKZkHRQ6ijQPsbOXIkatWqJdaXB6VSKdwNKNrFt99+K9wkSNxStAtXQdE10tLS8MgjjwhL64ULF8RgRBr0Rx0kcgsh1way+pO4p2ga1FGxd3G444478MUXX+Dw4cNiwOOECRNsrM7krkMRR+hcUGfn4sWLQhxPnDgRV69eLVVdSfiPGTNG1I0ijbCPQS0AAAHsSURBVNA2aNDkypUrLWXIPYTqRwM8qf2t3VZcDZ0LGjhJbURuK4mJiWKi88kwTNWGRTXDMG6DrJwUkYGs0OTW4UhIkhCjyA3kX0suH5MmTRKRNyoKcgEgIU+WY3JxoOgfZDGtKMjdgFwcKEwgiTlyh6BIIfYuDWWB/M9ffvllvPHGG8LiTe4Mzvq1W0NtRZFASEDT+aF2IaFL7jVm4UxtRBEt7rvvPmEhppCIdJzWUJg9cuuhctR5oYgm1m4X9D9ZjcnaTVFU6FhIHJPPdlks12SBJheeZ555Bs2bNxedGPKdt4Y6AeTiQ9uvSKjzQNZ4cv8gVxnzRMfHMEzVRkKjFd1dCYZhGKb6Q7GYKQzfvHnz4GlQJ4HqRxbwksIPklWbfKRdnaK8svfBMIxrYUs1wzAMU2OhSCnkVkTWfYqzXdp43hQlhNxcaO5KyM2FtutocCbDMJ4ND1RkGIZhaiw//vijcP0gCzol1ykNlNTotddeE/+T64YrofCF5M9POApZyDCM58LuHwzDMAzDMAzjJOz+wTAMwzAMwzBOwqKaYRiGYRiGYZyERTXDMAzDMAzDOAmLaoZhGIZhGIZxEhbVDMMwDMMwDOMkLKoZhmEYhmEYxklYVDMMwzAMwzCMk7CoZhiGYRiGYRg4x/8BTxIgkPQXalEAAAAASUVORK5CYII=", "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": 17, "id": "ae62804f", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:54:15.349044Z", "iopub.status.busy": "2026-07-11T10:54:15.348952Z", "iopub.status.idle": "2026-07-11T10:55:07.633117Z", "shell.execute_reply": "2026-07-11T10:55:07.632748Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [100000.0, 10.0, 0.9, 27.803527252976117, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 3.8748748302459717, 'td_time': 0.90435791015625}\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [100000.0, 10.0, 0.9, 27.514028237247313, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 6.46505880355835, 'td_time': 1.4251012802124023}\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [100000.0, 10.0, 0.9, 26.566565324923044, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 12.899073123931885, 'td_time': 2.836678981781006}\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [1000000.0, 10.0, 0.9, 8.530368199597607, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 1.1909239292144775, 'td_time': 1.1062381267547607}\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [1000000.0, 10.0, 0.9, 8.477092871917822, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 1.8392829895019531, 'td_time': 1.9158730506896973}\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [1000000.0, 10.0, 0.9, 8.270079417233697, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 3.6198439598083496, 'td_time': 3.470233917236328}\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [10000000.0, 10.0, 0.9, 3.1415737092075875, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.5094952583312988, 'td_time': 1.8113257884979248}\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [10000000.0, 10.0, 0.9, 3.247517414608418, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.5510690212249756, 'td_time': 2.505650758743286}\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "{'input_params': [10000000.0, 10.0, 0.9, 3.402045540523374, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.5938413143157959, 'td_time': 3.330698013305664}\n", "[{'input_params': [100000.0, 10.0, 0.9, 27.803527252976117, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 3.8748748302459717, 'td_time': 0.90435791015625}, {'input_params': [100000.0, 10.0, 0.9, 27.514028237247313, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 6.46505880355835, 'td_time': 1.4251012802124023}, {'input_params': [100000.0, 10.0, 0.9, 26.566565324923044, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 12.899073123931885, 'td_time': 2.836678981781006}, {'input_params': [1000000.0, 10.0, 0.9, 8.530368199597607, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 1.1909239292144775, 'td_time': 1.1062381267547607}, {'input_params': [1000000.0, 10.0, 0.9, 8.477092871917822, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 1.8392829895019531, 'td_time': 1.9158730506896973}, {'input_params': [1000000.0, 10.0, 0.9, 8.270079417233697, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 3.6198439598083496, 'td_time': 3.470233917236328}, {'input_params': [10000000.0, 10.0, 0.9, 3.1415737092075875, np.float64(0.1), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.5094952583312988, 'td_time': 1.8113257884979248}, {'input_params': [10000000.0, 10.0, 0.9, 3.247517414608418, np.float64(0.35), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.5510690212249756, 'td_time': 2.505650758743286}, {'input_params': [10000000.0, 10.0, 0.9, 3.402045540523374, np.float64(0.6), 1.0, 1.0, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 1.0471975511965976, 0.0, 1.0471975511965976], 'fd_time': 0.5938413143157959, 'td_time': 3.330698013305664}]\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": 18, "id": "8e4fc1d1", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:55:07.634219Z", "iopub.status.busy": "2026-07-11T10:55:07.634158Z", "iopub.status.idle": "2026-07-11T10:55:07.682487Z", "shell.execute_reply": "2026-07-11T10:55:07.682065Z" } }, "outputs": [ { "data": { "image/png": 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E+fPn5/l+eI/Y2NhcF1e6iFJSUvTr6tq1a6b1eL5169YcXxccHCw//PCD7NmzR2eSRjE5Wrc6deqkEzG++uqrbj2GGzduZMx3dP78eW2xqVq1arb3wvugm6pfv37anWq+Bl1OGAWF1rdSpUpxigEiIquPZqLMMH9OXFychISEaNcIuusQLD7//HPp0qVLRhcFwo6rfv31VylevLgsXrxYL6LQsWNHWbdunV6QcWsJaNGiRUa3X26GDx+udU+5qVChgtPHd/XqVe1yLFOmTKb1eJ7X8aDLB18HalQwxB9BrXPnzjJ37lynP9/ZYzh06JA8//zzGqJQ84IAiu7RrNCN2rBhQ6lZs6aeW7wOjwiTO3fulBkzZmjdDRER5YxhphBACwNaC1q3bp2xDhfOWrVq5atlBi0VZpABzLiMlgMzyJjrUAdi6t27t7bYIBx88803mY7D0UW8oBAQ7KHFLus6R1DPgtDXvn17bSlBCHTmda4eA2qZstbAOIKWGYQVvA6hBvU1CJIYqVa7dm3dntMs2UREZIHRTOSc38o63AMtMw8++GC2gINRNfYTGOI+WegGMY0cOVJDgqe7mRCy0CKVtRUmPj4+W0uJI5cvX9aggJFKuP/XmDFjnP5sdx2DPXR7mcW9KDhGC8727dtl8uTJGlAPHDjA4l8iojwwzBQC1atX1xE627Zty1iHmg0EDldgKDFG4DRp0iRj3ZkzZ+T69euZ1uECi24WXHxN6IpC15ejbiaEodyW5s2bO32MGMWGloys9+3C87xGdqF7CC1HderU0RuXosvpn//8p7z88stOf35Bj8HeyZMn5ebNmxndSAiH6Fp66623tCsRLTuYnsBRNxOCGOqk8HlYnn32Wa1tIiIKROxmKqjURNfWewBaN4YOHaoXN8zFg9aBCRMmaL2Gq60yeA26O0wIGxi2jIJs+/3QReMovGTlajdTbsP1zSHPY8eO1YJkhCB0rc2bN0+7vRCccoKC3+7du+sQaAyrxq0GEGowfxGCGOp27Ftp8jqO/BxDVuhCQjAy5wgaPHiw9OrVK2M+JdTToH4Jc9lkNWLECC1efu+99/T52rVrtbAZ0xjkt9uMiMiqGGbyKyzqt3lkMM9MWpLjfbAd+3kBLmq4AKPeBSHjpZde0ntT2cMoMcybklO3FEIK6jSioqIydYPYt8CY+9l3MbkTWiYQLkwIDeaFHscPffv21VYIjOgyJwzESCUElZwgpOEmpG3bts00R1GDBg0cTsiY13Hk5xiyQljB68x5b/BoX6uE7fYtYqakpCRteRs4cKC8/vrrug6Py5cv1wBWo0YNp4+BiKgwCML4bCnE0HWCJntc2LNOWIbaD/yL25zFNV8T56XmEGQAQcYDE+blFy54KNLF4gl4348//jhTATC5H7qYBgwYoMPw0XUGCEGoW3rxxRcLFGYK/DtBROSF63dWbJkpCAQVPworeVm5cqUWmJK1RUdH6y/4okWLNNSY3UyYpwb1U0REgYZhJoBgXhVP6datm3aL4DYAmN8GrQaYi4Y8A/PQTJw4UWbOnKk1Mqj/WbhwIetliCggMcyQ21p9yLutMx988AFPORERh2YTERGR1XGeGSIiIrI0hhkiIiKyNIYZIiIisjSGGSIiIrI0hhkiIiKyNIYZIiIisjSGGSIiIrI0hhkiIiKyNIYZIiIisjSGGSIfCg0NlcaNG+sybNgwfi+IiPKB92Yi8qFixYrJ3r17+T0gIioAtsy4yY5LO2T69un66A2GYchzzz0nJUqU0DslO7ogdujQQUaPHu2V4yEiIvIVhhk3QID57vh3ciHhgj56I9D8+OOP8tlnn8mKFSvk4sWLUr9+fSkMNm3aJI8++qiUL19eQ9p3333ncL/Zs2dLlSpVJDIyUpo1ayabN292abu/HOft27d1fZs2bWTjxo05fl67du30c6ZOnZot1LZq1Uq3TZo0yU1fHRGRtTDMuCnIBEmQ1CpRSx+9EWhOnDgh5cqVk4ceekjKli2rtReFwd27d6VRo0by8ccf57jPkiVLtMVpwoQJsmfPHmnbtq306NFDzp4969T23GzZskVSU1OzrT98+LBcunTJrccJp0+fll27dsncuXPl6aef1nCTFQILWt4qV64s+/bty7RtwYIFcuHCBf3/pk2b5vn1EREVSkYhd+vWLQNfJh6zSkpKMg4ePKiP+bH94nbjL5v/YkzYPMGYtWdWxoLnWI/tnjB48GD9msylcuXKRkJCgjFo0CAjJibGKFu2rDFjxgyjffv2xqhRo1x671OnTul7fvvtt0bbtm2NyMhIo2nTprp+/fr1RosWLYyoqCijQ4cOxrVr1wxPwnEsW7Ys2/qWLVsaw4cPz7Sudu3axrhx45zanhObzWY0atTI6NOnj5GWlpax/siRI3pOp0+f7tbjzKp79+7Gjh07sq3H5+MzJk+erK833b59W49r4sSJuv3s2bNGQRX0d4KIyBvX76zYMuOGFpnyseUzbcNzT7bQfPTRRzJlyhSpWLGidjHt2LFDXnnlFVm/fr0sW7ZMVq1aJRs2bNB/8bvKrL1B98jbb78tP//8s1y7dk0GDRok06dPl1mzZul7o4Vg/vz5eb4f3iM2NjbXxZUuoJSUFP26unbtmmk9nm/dujXP7bkJDg6WH374QVtR0EqSnp6uLWCdOnWSxx57TF599VW3HSfcuHFDkpOT9f/Pnz8vBw8elKpVq2Z7L7wPuqn69esnx44dy3gNupwwCgotdKVKlZJKlSo5fXxERIVJ4eib8KMgY8J6s4YGWpRt4bbPL1q0qMTFxUlISIh2MSUkJGiw+Pzzz6VLly4Z3Q8IO6769ddfpXjx4rJ48WK9QELHjh1l3bp1erGNiYn57etp0SJTt0tOhg8fLk8++WSu+1SoUMHp47t69arYbDYpU6ZMpvV4juPJa3teUAODrxU1Kv3799cw17lzZ+0GcoUzx3Ho0CF5/vnnNUSh5gUhFQXdWe3evVsaNmwoNWvW1POP1+ERgXPnzp0yY8YMrbshIgpUDDP5sO7sOklISdAamdwg0By5fkT3d2eYyQqtB2gJaN26dcY6XBRr1cr9+HJqmUErhBlkADUeaBUwg4y5rmfPnhnPe/furS02uPB/8803mY7D0QW6oHDxt4feHvt1eW3Pzf3336/BsH379tpSgqDo7GtdOU7UO2WtgXEELTMIK3gdQs3+/fs1bGI0W+3atXU7anGIiAIVu5nyodP9nSQ2PFZbXnKD7dgP+3vSb2Ub7oGWmQcffDBbwMGIGdO9e/fk6NGj2sVhGjlypAYAT3czIWShRSprK0t8fLy2euS13RmXL1/WoIDRSomJiTJmzBinj8/Z43QFur3M4l4UHaMFZ/v27TJ58mQNsQcOHGDxLxEFNIaZfEArS6/qvcQQI8dAg/XYjv082SoD1atXl7CwMNm2bVvGOtRjIHC4AiNpMLqmSZMmGevOnDkj169fz7QOF090oeDCakJXFLq+HHUzIQzltjRv3tzpYwwPD9dWitWrV2daj+do6chruzPdQ2hdqlOnjixdulS7nP75z3/Kyy+/7PQxOnOczjp58qTcvHkzoxsJARJdS2+99ZZ2N6JlB6OvHHUzIYihlgqfh+XZZ5/V+iciosKG3Uz5ZAYUc34Z+9oZbwYZQOvG0KFD9cJVsmRJ/Zc/hgOjFsPVVhm8Bl0ZJoQNzFL7wAMPZNoP3S+OwktWrnYzof7n+PHjGc9PnTqlx4D3QPcPjB07VguSEYLQtTZv3jzt9kJwcmZ7TlDw2717dx0CjWHVGO6OULNmzRoNa6jtMVtp3HGczkAXEoKROY/Q4MGDpVevXvp9NutpUOOEuWyyGjFihBYvv/fee/p87dq1WtiMuYny221GROSPGGbcHGi8HWRMuGDhAot6F4SMl156SW7dupVpH0yyN2TIkBy7pRBSUIMRFRWVqYvDvgXG3M++i8md0OqA4GBCIDAv4jh+6Nu3r7YwYESXOWEgRiEhhDizPScIctOmTdP5YBAgTA0aNNBAYwYIdx2nMxBW8Dq0vAEe7euZsN2+1cyUlJSkrXMDBw6U119/Xdfhcfny5RrCatSo4fQxEBH5uyCMz5ZCDF0naI7Hhb1IkSKZtqH2A/+iNmdoLejoJhQFo0bG20HGWbiYoUgXiyfgfTGJnH0BMPkGupgGDBigQ/XRdQYIQahtevHFF3MMM+76nSAi8uT1OyvWzLixhgYtM/4aZGDlypXy7rvv+vowyAuio6P1j8CiRYs0xGBBNxPmqUGNFRFRYcJuJjdBgPHXEGPCnCme0q1bN+3ywDT/mN8GLQKYi4Z8B/PQTJw4UWbOnKk1Mqj/WbhwIetliKjQYZght7X6kP+1znzwwQe+PgwiIo9jNxMRERFZGsMMERERWRrDDBEREVkawwwRERFZGsMMERERWRrDDBEREVmaT8PMpk2b9M7E5cuX17kvvvvuu0zbMTkxZq3Fdkyx36FDB73JIREREZFfhBlMsIb7/mAKfEcwWy3mycD2HTt2SNmyZaVLly5y584drx8rERER+SefTprXo0cPXRxBq8yHH36od39+4okndN2CBQv0jtBffvmlPP/8814+WiIiIvJHflszg5vdXbp0Sbp27ZqxLiIiQtq3by9bt27N8XXJycl6cyr7hYiIiAovvw0zCDKAlhh7eG5uc2TatGl6gz1zqVSpksePlYiIiHzHb8OMCYXBWbufsq6zN378eL1duLmcO3fOC0dJgSg0NFQaN26sy7Bhw3x9OEREActvbzSJYl9AK0y5cuUy1sfHx2drrbGHrigsRJ5WrFgx2bt3L080EZGP+W3LTJUqVTTQrF69OmNdSkqKbNy4UR566CHxJ0Z6uqSc/4/cO3JUH/HcX2A4++jRo319GERERIUzzCQkJOi/bM1/3aLoF/9/9uxZ7UrCRfjtt9+WZcuWyf79++WZZ56R6Oho6d+/v/iL5BMn5Nq8v8uVv82Uq7Nn6yOeY70nFdaQktfcQ978jNmzZ2uojoyMlGbNmsnmzZszbUdxOda3adNGQ3ZO2rVrp58zderUbF2mrVq10m2TJk1y01dHRBR4fBpmdu7cKU2aNNEFxo4dq/9v/mF/9dVX9YL95z//WZo3by7/+c9/ZNWqVRIXFyf+AIHl+hdfyL1DByWkWHEJr1JFH/Ec6z0daAqjvOYeys2WLVskNTU12/rDhw9nKhp35jOWLFmiP3uYGmDPnj3Stm1bnUYAQdt0+vRp2bVrl8ydO1eefvpphyPnEFgQ0CtXriz79u3LtA1TDVy4cEH/v2nTpi5/vURE5AdhBq0L+GOfdfnss890O/7FihmAL168KPfu3dN//davX1/8AbqS7qxeI7YbNyS8WnUJiY2VoJAQfcRzrL+zZq1HupzQQoVz8dFHH+k5woILKy7SuKjGxsZqndH777+fr/fHe+E9ly5dqq0KmH0ZLRBYv2HDBmnZsqW2kHXs2FGuX7/u1q8NgeHNN9/MmFvIWenp6fLCCy9oq53NZstYf/ToUT3Ozz//3KXPwGSNQ4cO1cLeOnXq6JxHGBk3Z86cjH3QsgP4maxbt65+VlbHjh3TSR7xPbMPM1iHYnWsB5xfIiIqZDUz/i71wkVJPnVSQsuWyza6Cs9Dy5SV5JMndD93Q4hp3bq1PPvssxr0sOBC+8orr8j69eu1Ww4tWAgeaDlwldnth24WdPP9/PPPcu3aNRk0aJBMnz5dZs2ape+Ni/P8+fPzfD+8BwJWbkvWLhxXBQcHyw8//KCtKAh0CDcnTpyQTp06yWOPPaatfM5CbRbOm/0cR4Dn5hxHN27c0DmN4Pz583Lw4EGpWrVqtvfC+6Cbql+/fhpszNegywmjoBA6S5UqxSkEiIgK42gmf5d+964Y95IlOCrK4fbg6GhJi4/X/dwN8+eEh4dr64g56gv1RwgWaIHALR/MboyKFSu6/P6//vqrFC9eXBYvXqwXWkDrxrp16/SiHRMTo+tatGiR65w/puHDh8uTTz6Z6z4VKlSQgkJLCY4RrUlooUEI69y5s3YDueLq1avaupPbHEeHDh3SWagRohBeETBLlCiR7b12794tDRs2lJo1a+p5w+vwiKCIbtYZM2awVYaIqIAYZvIpOCZGgiIjJD0pSbuWskpPTJSgiHDdzxvQCoEWBbTYmHBxrVWrVr5aZtCaYQYZQK0IWhfMIGOu69mzp/5/7969tbUG4eGbb77J9H44DkcXek+4//77NdBhpmi0lCDg5TYvUX7nOMKIuqw1MI6gZQZdSHgdQg0K2RESn3vuOaldu7Zuz+mWHkRE5Bx2M+VTWPlyElGlqqRduqgXOXt4nnb5kkRUrab7eUPWYygItMw8+OCD2QIORt6YUMOEGhF0lcDIkSMz1aV4u5vJdPnyZQ0KGK2UmJgoY8aMcfk9EOJCQkKytTrlNceRI+j2Mot7UXSMFpzt27fL5MmTNXziLvAs/iUiKhi2zORTUHCwxHV5RFIvXZSUE8e1RgZdS2iRQZAJKV5C4h7prPt5ArqZ7Atdq1evLmFhYbJt2zZtnTDrOhA40ErhLIzIQaGvOcIMzpw5o4W+9utwEcbn4wJtdkOhZcaX3UzoHkLLEAp2v/76a61RQZE5JlFEd44r5xatKZjjCC1OJjx//PHHnX6fkydPys2bNzO6kRD8UG80b9487SpEqwxGXzkq/kUQQ+DBCC2oV6+evPPOO1KyZEmnP5+IKFAwzBRARLVqUmLQIB3VhGJg1Migaymybj0NMtjuKQ888ID88ssvGjzQsoFuHIy+QREwLnhoQcCwYtR0uNoqg9egS8S+VQaz3eIz7fdDN44zw+Rd6WZC7c/x48cznptzD+H1ZkhzBAW/3bt31yHQGFaNWw0g1KxZs0aDFsKS2UrjzGdgmgAUPGNKAHTdIYCgWw3BzFkIKwhG5gi8wYMHS69evTICCeppUJuEuWyyGjFihBYvv/fee/p87dq1Wti8YsWKfHebEREVVgwzBYTAgvllMGoJxb6okUHXkqdaZEwvv/yyXhwxJDgpKUkvyLjw4UKNeheEjJdeeknvT2UPw96HDBmSY7cUQgpqOTAc276rxGyBsd/P7GJyJxTFInyYECoAX6s5ZN8RBDDcZBTzwSBAmBo0aKCBxr5Fw5nP6Nu3r47gmjJlio4WQyDBaCmEJWchrOB1aDEDPNrXIWG7fWuXCd9PtKoNHDhQpyYAPC5fvlxDWI0aNZw+BiKiQBBkuLPYwg+h2wRN+rioFylSJNM21H0gBJizvAYCXBTRHZRTl1BB4D0xEV3WAmByDbqYBgwYoEPs0XUGCEGoS3rxxRc9GmYC8XeCiKx3/c6KBcABZuXKlfLuu+/6+jAoFxhyj1/gRYsWaYjBgm4m1AChNoqIiDJjN1OAwdwrntCtWzftNsEsxJjbBq0KmIeG8gfz0EycOFFmzpypNTKo/1m4cCHrZYiIHGCYIbe1+JB7W2dwSwUiIsobu5mIiIjI0hhmiIiIyNIYZoiIiMjSGGaIiIjI0hhmiIiIyNIYZoiIiMjSGGaIiIjI0hhmiIiIyNIYZoiIiMjSGGaIiIjI0hhmiDwoNDRUGjdurMuwYcN4romIPID3ZiLyoGLFisnevXt5jomIPIgtM4Vchw4dZPTo0b4+DCIiIo9hmCmA5KQ0uXsrOccF2z2lsIaUTZs2yaOPPirly5eXoKAg+e677xzuN3v2bKlSpYpERkZKs2bNZPPmzX55HLdv39b1bdq0kY0bN+b4ee3atdPPmTp1aqb1hmFIq1atdNukSZPc9NURERUu7GbKJwSVnf86JUkJqTnuExUbJs17VpGIKJ5mZ929e1caNWokQ4YMkT/84Q8O91myZIkGOQSJhx9+WD755BPp0aOHHDx4UO6///4c33vLli3SsmVLCQsLy7T+8OHD2h1UtmxZtx/H6dOnNRDt379fevbsKfv27ZMiRYpkCyzoiqpcubJut7dgwQK5cOGC/n/Tpk3zPH9ERIGILTP5lJZi0yATGhYskTGh2Rasx3bs527PPPOM/iv/o48+0n+xY8FFExfgp59+WmJjY6VcuXLy/vvv5+v98V54z6VLl2qLQVRUlLYuYP2GDRs0EERHR0vHjh3l+vXrbv3aEAbefPNNeeKJJ3Lc54MPPpChQ4dqQW2dOnXkww8/lEqVKsmcOXNyfE16erq88MIL0r9/f7HZ/u97cvToUf06Pv/8c48cB4IM1K9fX+rWraufl9WxY8fkzp07+n21DzNYN378eF0P+B4QEVF2DDMFFBoeLOGRodkWrPcUhJjWrVvLs88+KxcvXtQFF9FXXnlF1q9fL8uWLZNVq1Zp8Ni1a5fL728WrKLF4e2335aff/5Zrl27JoMGDZLp06fLrFmz9L1x4Z0/f36e74f3QMDKbXG2myglJUW/pq5du2Zaj+dbt27N8XXBwcHyww8/yJ49ezTwIdycOHFCOnXqJI899pi8+uqrTn2+K8dx48YNSU5O1v8/f/68tthUrVo123vhfdBN1a9fPw025mvQ5YRRUAimpUqV0u8xERFlx/4PCypatKiEh4dr64jZNZKQkKDBAi0MXbp0yeiiqFixosvv/+uvv0rx4sVl8eLFehEFtF6sW7dOL8gxMTG6rkWLFnLp0qU832/48OHy5JNP5rpPhQoVnDq2q1evastKmTJlMq3H87yOBa0k+BrQ2oQWGoS0zp07y9y5c536bFeP49ChQ/L8889rkEJLF0JoiRIlsr3X7t27pWHDhlKzZk09t3gdHhEmd+7cKTNmzGCrDBFRLhhmCgm0MqC1AC02Jlw4a9Wqla+WGbRWmEEGzp49qy0HZpAx16EOBHr37q2tNQgH33zzTab3w3E4uogXBMJB1rqTrOscQS0LAl/79u21lQQB0JnX5ec4HnrooWw1MI6gZQZdSHgdQg3qaxAkn3vuOaldu7ZuR7cXERE5xm6mQgIXUXdBy8yDDz6YLeBgVI3p3r17Wv+BbhAYOXJktroTT3QzIWCFhIRka4WJj4/P1kriyOXLlzUkYKRSYmKijBkzxqnPdfdx2EPXl1nci6JjtOBs375dJk+erAH1wIEDLP4lIsoFw4xFoZvJvpC1evXqOkpn27ZtGetQs+Go4DQ3GEqMQt8mTZpkrDtz5owW+tqvwwUWn4+Lr9kNFRcXl2M3E8JQbkvz5s2d/rrRirF69epM6/EcLSF5dQ2h5QjFuihuRpfTP//5T3n55Zed+mx3HYe9kydPys2bNzO6kRAO0bX01ltvaXciWnZSU1MddjMhjKFOCp+HBTVUqG0iIgo07GYqoLSUdPw3h/We88ADD8gvv/yiwQMtG+jGwcgaXNxKliyprQMTJkzQeg1XW2XwGnR3mBA2MHQZn2m/H7ppcgow+e1mQu3P8ePHM56fOnVKPx+vN4c7jx07VouREYDQrTZv3jzt8kJoygkKfrt3767DnzGkGrcZQKhZs2aNBjHU7Ni30njqOLJCFxKCEUY7weDBg6VXr176PTTraVC/hLlsshoxYoQWML/33nv6fO3atVrcvGLFigJ1nRERWQ3DTH5PXHiIziOjw69THQcXbMd+noDWBFz4MNw3KSlJL7a4qOEijHoXhIyXXnpJbt26lel1n332mc6dklO3FEIK6jQwHNu+G8RsgbHfz+xicie0SiBcmBAYAF8rjh369u2rLRBTpkzRkVwIAhiphKCSEwS0adOmSdu2bTU8mBo0aKCBxgwPnj6OrBBW8Dpz7hs82tcqYbt9i5gJ33O0vA0cOFBef/11XYfH5cuXawirUaOG08dARGR1QYY7iy38ELpN0FyPi3rWycpQ94EQYM7gmp+J83KbRwZBxt8mzMMFD4W6WNwN7/nxxx9nKwAm90MX04ABA3QYPrrPACEItUsvvvhivsNMQX8niIi8cf3Oyr+utBaDoOJvYSUvK1eu1AJTsjYMy8cv+aJFizTUmN1MmKcG9VNERIHEWldiKjDMreIJ3bp10y4RzEKMuW3QYoB5aMhzMA/NxIkTZebMmVojgxqghQsXsl6GiAIOwwy5rcWHvN86g1sqEBEFOg7NJiIiIktjmCEiIiJLY5ghIiIiS2OYISIiIktjmCEiIiJL8+swk5aWpkNPMYEXZqTF9PmYbRVT0xMRERH5/dDs6dOny9y5c2XBggVSr149nWIeU/FjsrBRo0b5+vCIiIjID4T6+wRvjz/+uPTs2VOf40aHX331lYYaIiIiIr/vZmrTpo1O0X706NGMmxv+9NNP8rvf/S7H1yQnJ+v9HOwXIiIiKrz8umXmtdde0xtM4S7OISEhYrPZ5K233pJ+/frl+BrcGfmNN97w6nESERGR7/h1y8ySJUv0XjNffvml3vcHtTMzZszQx5yMHz9eA5C5nDt3zqvHTOSq0NBQady4sS7Dhg3jCSQiKkwtM6+88oqMGzdOnnrqKX3eoEEDOXPmjLa+DB482OFrIiIidCGyimLFisnevXt9fRhERJbl1y0ziYmJEhyc+RDR3eSPQ7PPHdwn6z+bp4/+pEOHDjJ69GhfHwYREVFghplHH31Ua2T+9a9/yenTp2XZsmV6l+DevXuLP0GA2b9+tdy+Gq+P3gg0hTWkbNq0Sb/v5cuXl6CgIPnuu+8c7jd79mydfygyMlKaNWsmmzdvztc+/nCsKFLHehS8b9y4McfPa9eunX7O1KlTM603DENatWql2yZNmuSmr46IyDr8Osz87W9/kz59+sif//xnqVOnjrz88svy/PPPZ/tj7g9BBheS+ypX0UdvBZrC6O7du9KoUSP5+OOPc62lQpCbMGGC7NmzR9q2bSs9evSQs2fPurSPI1u2bJHU1NRs6w8fPiyXLl3yyLEiqO/atUvnVHr66acdjsBDYEFXVOXKlWXfvsw/W6ghu3Dhgv5/06ZNc/36iIgKJaOQu3XrloEvE49ZJSUlGQcPHtTH/Dh74H+NHz5+3/j3rA+MLf9cmLHgOdZjuycMHjxYvyb75dSpU0ZCQoIxaNAgIyYmxihbtqwxY8YMo3379saoUaNcen+8F97z22+/Ndq2bWtERkYaTZs21fXr1683WrRoYURFRRkdOnQwrl27ZngKjmHZsmXZ1rds2dIYPnx4pnW1a9c2xo0b59I+WdlsNqNRo0ZGnz59jLS0tIz1R44c0fM5ffp0jxyrve7duxs7duzIth7HgM+YPHmyvt50+/ZtPbaJEyfq9rNnzxoFUdDfCSIib1y/s/Lrlhl/Zt8iU+S+0pm24bknW2g++ugjad26tTz77LNy8eJFXSpVqqQF0+vXr9fuuFWrVsmGDRv0X/yuMotR0T3y9ttv6+SF165dk0GDBumszLNmzdL3RgvB/Pnz83w/vEdsbGyui7NdQCkpKfo1de3aNdN6PN+6davT+ziC+qwffvhBW1DQQoLarBMnTkinTp3ksccek1dffdWpY3TlWG/cuKFzI8H58+fl4MGDetuOrPA+6KbCtATHjh3LeA1aKTEKqly5clKqVCn9OSAiCjR+PZrJikHGhPW3r/xWQwOV6jZw2+fjdg7h4eESHR0tZcuW1XUJCQkaLD7//HPp0qVLRvdDxYoVXX5/TE5YvHhxWbx4sV4goWPHjrJu3Tq92MbExOi6Fi1aZOt6cWT48OHy5JNP5rpPhQoVnDq2q1ev6nxDZcqUybQez81jcWafnKD+BV8n6lP69++vQa5z587aBeQqZ47j0KFD2nWKIIWfJwTVEiVKZHsvTE3QsGFDqVmzpp5/vA6PCJyYERtTFqDuhogoEDkVZmbOnOnyG+MeSnFxcVIYHd/+s6QkJWqNTG4QaK6cOaX7uzPMOIIWBLQEoMXGhItirVq18tUyg5YIM8gAajzQKmAGGXOdeasJFGWjtQYX/m+++SbT++E4HF2gCwIXfnvo6cm6zpl9HLn//vs1FLZv315bSRASnXldfo71oYceylYD4whaZhBW8DqEmv3792vYfO6553RSSWxHLQ4RUSByKsyggBH/wsewaGdgorrf//73hTbMVG/Z+rfRS1fic2yZAWwPj4rW/T3tt7IN90DLTNYuFQScESNGZDy/d++e3mYCXRwwcuRI+dOf/uRwQkN0M2HJzb///W8tjs0LAhZ+DrO2sMTHx2e0gDizT24uX76sIQEjlXbs2CFjxozRYnRXFfQ47KHrCy1FgKJjtOBgzqVFixZpiD1w4IAWGRMRBSKnu5nQlF26dM4XbnuFNcSYzFaW3AIN1iNg1O/YxSOtMuhmQheGqXr16hIWFibbtm3TlgWzHgOBAy0MzsJIGoyuadKkScY6XDSvX7+eaR0unvh8XFjNbii0zHi6mwlfN1ooVq9enWmIPp7jpqTO7pNb1xBalzB67uuvv9b6FAyDx0SM6MpxRUGOw97Jkyfl5s2bGd1ICJCoW5o3b552OaJVBiOwsnYzYZ6myZMn6wgtwJ3n33nnHSlZsqRLXwcRUaEIM/iDiCJNZ/3lL39xe7eClQKNp4OMeQfxX375RYMHvjc430OHDtUiYFys8C9//Es966SDzrTK4DXoyrBvlcEstfhM+/3QBeNMcHWlmwm1P8ePH894furUKf18vN4MaWPHjtVi5ObNm2u3Gi7q6PJCaDI5s09WKPjt3r27Dn/GkGrcZgChZs2aNRrWELjQSuPuY80LwgqCUf369fU5Zr/u1atXRihBPQ1qnDCXjT20pKF4+b333tPnuGkrCptXrFhRoG4zIiLLhhlX4P5IgcBRoPFGkAHMuYOLWt26dSUpKUkvpLho4QKLeheEjJdeeknvT2Xvs88+03qmnLqlEFJQgxEVFZWpi8NsgbHfz+xicie0ACI4mBAGAF8rjh369u2ro6umTJmiI7lwkccoJIQQkzP7ZIUQh1tloLsL4cGE22gg0GRt0XDXseYFYQWvQ8sb4NG+ngnb7VvNAD8TaJkbOHCgvP7667oOj8uXL9cAVqNGDac/n4jI3wVhfLYrL8AfSbwEI2nMLggMBcZFNesQVH+AbhM0xeOiXqRIkUzbUPeBEGDOzlrQ0U0oCkaNjKeDTEHggobuoJy6hAoC74kJ5LIWAJP3oYtpwIAB+ruJrjNAAEJt04svvphjmHHX7wQRkSev31m5PM8M+vox0gPQj49p1N9//31dP2fOHAlECC4IMEVKlfbrIAMrV66Ud99919eHQR6Gf2zgjwAKhBFisKCbCTVAqK8iIipMXA4zaNI2R53gX+CozUDrDAJOfoZwFxYIMB2fec6vgwxg3pSWLVu6/X27desmf/zjH7ULBSPfMAqIfAtz0KDeBv/gePDBB2XhwoW6sF6GiCTQJ81D87VZ9IlZZp944gmtNcAfS4QaCkxo8SH/a53BjVmJiAo7l1tm0ESNuwNjLhlcwMw6GcydkVefFhEREZHPw8ykSZN0JA2G6aL52pxxFq00WUdUEBEREfldN1OfPn2kTZs2OszUfrguJhqznxiMiIiIyG9vNImbG5o3ODR5oqiUiIiIyC3dTCjyxXhvZ2F+C9TQWIU772tEZGX8XSCiQhtmMGvolStXNNDktWBym//5n//RmWj9nTmjKkZoEdH//S6YvxtERIWmmwn/WqtZs6YUNrijMe45ZLYiYSgr5+CgQITfcQQZ/C7gdwK/G0REhSrMrF+/3uU3dvYuyL5m1v5YqVuMyFMQZLLWwxERFYow0759eyms0BJTrlw5KV26tKSmpvr6cIh8Bl1LbJEhooAZzVQY4Y84/5ATEREFwKR5RERERP6EYYaIiIgsjWGGiIiIAi/MpKWlyZo1a+STTz6RO3fu6LoLFy5YYm4ZIiIiCvAC4DNnzkj37t3l7NmzkpycLF26dJG4uDh599135d69ezJ37lzPHCkRERGRO1pmRo0aJc2bN5cbN25IVFRUxnrcZHLt2rWuvh0RERGRd1tmfvrpJ9myZYuEh4dnWl+5cmX5z3/+U7CjISIiIvJ0y0x6errYbLZs68+fP6/dTURERER+HWZQI/Phhx9mmkEXhb+TJ0+W3/3ud+4+PiIih9LTDTl3PVEOX7qtj3hORIEpyMAd5lyAUUsdO3bU2XKPHTum9TN4LFWqlGzatElvC+BPcCfvokWL6t28ixQp4uvDISI3OB5/R1buvywnriTIvTSbRIaGSLX7YqVb/TJSvTRbiIkKA1eu3y6HGUhKSpKvvvpKdu/erd1OTZs2lQEDBmQqCPYXDDNEhS/IfLrltFy/myLlikZKdHioJKakycVb96RETLgMefgBBhqiQsDjYcZKGGaICg90Jc3ZcEL2X7glNUrHaje3CX/KjsUnSIMKRWV4+2oSHPx/24iocF+/83WjSYxawoim+Ph4bZmxN3LkyPy8JRFR3n97biZp1xJaZOyDDOA51h+PT9D9KpWI5hklChAuh5lPP/1Uhg8frkOzS5YsmekPCv6fYYaIPOVuSprWyESHO+7SjgoPkcu37+l+RBQ4XA4zkyZN0mX8+PESHMxbOxGR98SEh2qxL2pk4iLDsm1PSrFJRGiI7kdEgcPlNJKYmChPPfUUgwwReV2FYlE6agnFvlnL/fAc66uXjtX9iChwuBxmhg4dKl9//bVnjoaIKBco6sXwa4xaQrHvnXupkpaero94jvVd65Vh8S9RgHF5NBNm//3973+vw7MbNGggYWGZm3o/+OAD8ScczURUuOeZSU77rWsJLTIIMpxnhqhw8OhoprfffltWrlwptWrV0udZC4CJiDwNgaVqh1gdtYRi35jwUO1a4nBsosDkcphBy8s//vEPeeaZZzxzRERETkBw4fBrItK/B66ehoiICHn44Yd59oiIiMiaYWbUqFHyt7/9zTNHQ0REROTpbqbt27fLunXrZMWKFVKvXr1sBcBLly4Vd8Jsw6+99pr8+9//1qLjmjVryvz586VZs2Zu/RwiIiIKkDBTrFgxeeKJJ8Qbbty4oV1auEs3wgzuyH3ixAk9BiIiIiK/v9HkuHHj9B5Qmzdvzvd7cGg2ERGR9bhy/fbr+xF8//330rx5c/njH/+orTJNmjSRv//977m+Jjk5WU+A/UJEREQB3s3UtGlTWbt2rRQvXlwDRW7zyezevdttB3fy5EmZM2eOjB07Vv7yl79ovQ5uZIkRVU8//bTD10ybNk3eeOMNtx0DERERFYIw8/jjj2uAgF69eom3pKena8sMJuoDBKkDBw5owMkpzOAGmAg/JrTMVKpUyWvHTERERH4YZiZPnix/+tOf5KOPPtL/95Zy5cpJ3bp1M62rU6eOfPvttzm+BqHLDF5ERERU+DldM7NgwQIdGu1NGMl05MiRTOuOHj0qlStX9upxEBERUSEIM74Y9DRmzBjZtm2bdjMdP35cvvzyS5k3b5688MILXj8WIiIi8k8ujWby9o0kW7RoIcuWLZOvvvpK6tevL1OnTpUPP/xQBgwY4NXjICIiokIwz0xwcLCO984r0Fy/fl38CeeZISIish5Xrt8uzQCMIc94YyIiIiJ/4VKYeeqpp3TyOiIiIiLL1cx4u16GiIiIyPKjmYiIiIjc1s2E2XiJiIiI/I1f32iSiIiIKC8MM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaQwzREREZGkMM0RERGRpDDNERERkaZYKM9OmTZOgoCAZPXq0rw+FiIiI/IRlwsyOHTtk3rx50rBhQ18fChEREfkRS4SZhIQEGTBggPz973+X4sWL57pvcnKy3L59O9PiCenphpy7niiHL93WRzwnIiIi7wsVC3jhhRekZ8+e8sgjj8ibb76ZZ1fUG2+84dHjOR5/R1buvywnriTIvTSbRIaGSLX7YqVb/TJSvXScRz+biIiILNYys3jxYtm9e7eGFGeMHz9ebt26lbGcO3fO7UHm0y2nZf+FW1IsOkyqlorVRzzHemwnIiIi7/HrlhkEkVGjRsmqVaskMjLSqddERETo4gnoSkKLzPW7KVKjdKwWI0NcZJjERoTKsfgEWXXgsgac4ODfthEREVEAt8zs2rVL4uPjpVmzZhIaGqrLxo0bZebMmfr/NpvNq8fzn5tJ2rVUrmhkRpAx4TnWH49P0P2IiIjIO/y6ZaZz586yb9++TOuGDBkitWvXltdee01CQkK8ejx3U9K0RiY6PMrh9qjwELl8+57uR0RERN7h12EmLi5O6tevn2ldTEyMlCxZMtt6b4gJD9Vi38SUNO1ayiopxSYRoSG6HxEREXkHr7ouqFAsSkctodgXNTL2XU2GYcjFW/ekQYWiuh8REVGhdO+WSGou5RRhUSKRRb15RNYLMxs2bPDZZ6OoF8OvL9xK0mJf1MigawktMggyJWLCpWu9Miz+JSKiwhtkNr4rkngt532iS4q0f9WrgcZyYcbXMI/MkIcfyJhnBjUy6FpCiwyCDOeZISKiQis16bcgExolEhbtYHvib9uxH8OMf0NgqdohVkctodg3JjxUu5Y4HJuIiAJCWLRIRKzjbWneH9HLlpl8QnCpVMJBKiUiIirEklPDJC0oXCQ9+0AYSQmX0NQw8cxsbzljmCEiIiKnJCfZZOfJOpJkKyIS4iDM2FIlKuQ+aZ5kkwgv3t3HryfNIyIiIv+RlpouSSkREhqcLpHhqZJy7z9y+eIv+ojnWI/t2M+b2DJDRERELgkNtUliYrxcu3pK0mypcu3qCQkNTZfoiJKSlipex5YZIiIicsntWxfl8sUTIka6xEbF6SOeY70vMMwQERGRc0KjJCHplly5ekYk3SaRYSgETvv/jzZdj+06dNuL2M1ERERETrlw5qxcT7ouIbGlJTKueKZtkSKSeOeGbsd+NcqUEm9hywwRERHl6dzBfXJ46zqR4BCJiL1PJCQ826Lrg0N0P+zvLQwzRERElKfj23+WlKRECY8qLuk2Q2xp6dkWrMd27If9vYVhhoiIiPJUvWVriYiJEVvqLUlPN3T4ddYF67Ed+2F/b2HNDBEREeWpUt0G+vjrmlVipNskruR92fa5c+2KBAXHSqNHumbs7w0MM0REROQUM6DsX79a7t25JkXuK52x7faVeAkNC5L6Hbt4NcgAu5mIiIjIaQgqCCyGYWiAATziuS+CDDDMEBERUb4DzZUzp3waZIDdTEREROQyM7hg1BKKfX0VZIBhhoiIiPIFAcaXIcbEbiYiIiKyNLbMEBERkcuM9HRJvXBR0u/eleCYGAkrX06Cgn3TRsIwQ0RERC5JPnFC7qxeI8mnTopxL1mCIiMkokpVievyiERUqybexjBDRERELgWZ6198IbYbNyS0bDkJjoqS9KQkuXfooKReuiglBg3yeqBhzQwRERE53bWEFhkEmfBq1SUkNlaCQkL0Ec+x/s6atbqfNzHMEBERkVNQI4OuJbTIBAUFZdqG56FlykryyRO6nzcxzBAREZFTUOyLGhl0LTkSHB0tRnKK7udNDDNERETkFIxaQrEvamQcSU9MlKCIcN3PmxhmiIiIyCkYfo1RS2mXLuotDOzhedrlSxJRtZru500MM0RkWecO7pP1n83TRyLyPMwjg+HXIcWLS8qJ42K7c0cMm00f8TykeAmJe6Sz1+eb4dBsIrIkBJj961dLSlKiPoI/TKtOVNhFVKumw6/NeWbS4uO1aymybj0NMpxnhojIhSCD0RP3Va4it6/EM9AQeRECS3iVKpwBmIiooEGmyH2ldR0eGWiIvAtdSeEVK4g/YM0MEVk6yJjwHOuxnTU0RIGFYYaILB9kTAw0RIGJYYaILOH49p+12DenIGPCduyH/YkoMDDMEJElVG/ZWsKjorU2JjfYjv2wPxEFBoYZIrIEDLuu37GLTsyVU6DBemzHfhymTRQ4GGaIqFAEGgYZosDFMENElg80DDJEgY1hhogsHWiunDnFriWiAMfbGRCRJZk1MRi1hGJf1sgQBS6GGSKyLAQYhhgiYjcTERERWRrDDBEREVmaX4eZadOmSYsWLSQuLk5Kly4tvXr1kiNHjvj6sIiIiMiP+HWY2bhxo7zwwguybds2Wb16taSlpUnXrl3l7t27vj40IvKR5KQ0uXsrOccF24kosAQZGNtoEVeuXNEWGoScdu3aOfWa27dvS9GiReXWrVtSpEgRjx8jEXkOgsrOf52SpITUHPeJig2T5j2rSEQUxzcQWZkr129L/bbjC4ISJUrkuE9ycrIu9ifDk3fx5bBQIu9JS7FJ0q27EhqSLqHh2RuW01LSJelWiu7HMEMUOCwTZtCANHbsWGnTpo3Ur18/1zqbN954w+PHgyCzf/1qvTsvHoFDRIk87N4dkUv7JTT4joSHOuhOSguVtPQ4kXsVRYpG8NtBFCD8umbG3ogRI+R///d/5auvvsp1v/Hjx2sLjrmcO3fOY0EmKChI7qtcRR/xHOuJyIPSkkRsySLBISKhUdkXrMd27EdEAcMSLTMvvviifP/997Jp0yapWLFirvtGRETo4in2QabIfaV1HR5xbxi20BB5SXCYSGhI9vVpNhFJ57eBKMAE+3vXElpkli5dKuvWrZMqVar49HgcBRkTnrOFhoiIyPv8umUGw7K//PJLWb58uc41c+nSJV2P6uaoqCi/CTImttAQERF5n1+3zMyZM0frXjp06CDlypXLWJYsWeL1Y8GoJRT75hRkTNiO/bA/EXlGWlqIpKQGZ1uwnogCj1+3zPjTFDi4Ky9aZlAbk1ugwfbwqGjdn4jcKzQsWKLCkyXJFiFpKWHZd0hP1e3Yj4gCh1+HGX9iDrvOLdBgPQJY/Y5dOEybyAMiokKkedVDkhYUIxLmoKs5NUlCjbsSEfUEzz9RAGGYcVOgYZAh8oKwKIkoWkQiEq+JGDcd/0WLLuk46BBRocUw44ZAwyBD5CWRRUXav6otMDlCkMF+RBQwGGYKGGiunDmlNTLsWiLyEgSVyKJipKdL6oWLkn73rgTHxEhY+XISFMxaGaJAxDBTwEDDezMReV/yiRNyZ/UaST51Uox7yRIUGSERVapKXJdHJKJaNX5LiAIMw0wBAw3vx0Tk/SBz/YsvxHbjhoSWLSfBUVGSnpQk9w4dlNRLF6XEoEEMNEQBhm2yRGQZ6FpCiwyCTHi16hISGytBISH6iOdYf2fNWt2PiAIHwwwRWQZqZNC1hBYZzMZtD89Dy5SV5JMndD8iChwMM0RkGSj2RY0MupYcCY6OFiM5RfcjosDBmhlX3bvFYaFEPoJRSyj2RY0MupaySk9MlKCIcN2PiAIHw4yrQWbjuyKYsCsnmLAL82Bwngsit8Pwa4xaQrFvcLXqmbqaMPt22uVLElm3nu5HRIGDYcYVmKgLQSY0SiQs2sH2xN+2Yz+GGSK3wzwyGH6NUUspJ45rjQy6ltAigyATUryExD3SmfPNEAUYhhkXJaeGSVpQMZEQB83YtnAJTU2TCDd9c4goO8wjg+HX5jwzafHx2rWEFhkEGc4zQxR4GGZckJxkk50n60iSrYhIiIM79tpSJSrkPmmeZJOIODd+l4goEwSW8CpVOAMwESmGGRekpaZLUkqEhIalS2h4avbtyb9tx35snSHyfJdTeMUKPM1ExDCTH6GhNgl30DAjNpukZc84RERE5EGcZ4aIiIgsjd1M+ZGeKkaqTdLvpYqRli5BocESHBkmolOoh7j9m0REREQ5Y5hxBYZkh0SILeGapF27LWmJqSLphkhwkIRGh0lQySIikSV/24+IiIi8gmHGFZFxYot5QGzxyRKSHiTBpWIkKDRUjLQ0SUu4K7bbMSIlH9D9iIiIyDsYZlyAO/GmXb4qRqpIUImyki7/f/bRcBEpESepN+9IELbzjr1ERERewwJgV1y7IiF3r4kRFSsptlBJsYXYLaFiRMbqduxHRERE3sGWGVdOlu2e1JJDElyuigQFZy/0NdJtkn7utITa2rrze0RERES5YJhxAe7EGx4VIiGpdxzesdd2547YIoN5x14iIiIvYjdTPu7Ym3bpot6h1555x96IqtV4x14iIiIvYpjJxx17Q4oX1zv2oiXGsNn0Ec95x14iIgokOy7tkOnbp+ujLzHM5POOvZF16ort1k1JOX1aH3HH3hKDBvKOvUQB+IeUKBDtuLRDvjv+nVxIuKCPvvw9ZM1MAe7Yu+vXH2X7yU3Ssmo7adaou7bcEJF3/5AmpCToI7Qo24Knn8iLv39BEiS1StTKCDS++j3k1TefdsbvkmV3t8iR4kn6iOdE5Js/pHj09b8MiQLx9698bHldh0df/h4yzOQD/5AS+Y4//iElCuTfP5Mvfw8ZZlzEP6REvuOvf0iJAv33z9e/hwwzLuAfUiLf8ec/pESBYN3ZdVqjltPvnwnbsR/29xaGGSfxDymRb/nzH1KiQNDp/k4SGx6rxb65wXbsh/29hWHGSfxDSuRb/vyHlCgQtCjbQnpV7yWGGDn+HmI9tmM/b45qYphxEv+QEvmWP/8hJQoULXL5PfTl7x/DjJP4h5TI9/z1DylRoP8eXvDx7x/DjAv4h5TI9/zxDylRIP8eHrl+xOe/f5wB2EXmN8qcwhnFhvxDSuS730P8IUWNDIMMkW9+D1FTilIMX/5DgmEmH/iHlMj3/OkPKVGgalG2hV/87jHM5BP/kBL5nr/8ISUi32KYKQD+ISUiIvI9FgATERGRpTHMEBERkaVZIszMnj1bqlSpIpGRkdKsWTPZvHmzrw+JiIiI/ITfh5klS5bI6NGjZcKECbJnzx5p27at9OjRQ86ePevrQyMiIiI/EGQYhiF+rFWrVtK0aVOZM2dOxro6depIr169ZNq0aXm+/vbt21K0aFG5deuWFClSxMNHS0RERO7gyvXbr1tmUlJSZNeuXdK1a9dM6/F869atDl+TnJysJ8B+ISIiosLLr8PM1atXxWazSZkyZTKtx/NLly45fA1aa5DkzKVSpUpeOloiIiLyBb8OM6agoKBMz9EzlnWdafz48dokZS7nzp3z0lESERGRL/j1pHmlSpWSkJCQbK0w8fHx2VprTBEREbqYzJIgdjcRERFZh3nddqa016/DTHh4uA7FXr16tfTu3TtjPZ4//vjjTr3HnTt39JHdTURERNaD6zjKRiwbZmDs2LEyaNAgad68ubRu3VrmzZunw7KHDx/u1OvLly+vXU1xcXE5dk0VJDUiJOH9OVLKc3ievYPnmee5MOHPs/XPM1pkEGRwHc+L34eZvn37yrVr12TKlCly8eJFqV+/vvzwww9SuXJlp14fHBwsFStW9Ogx4hvIMON5PM/ewfPM81yY8OfZ2uc5rxYZy4QZ+POf/6wLERERkSVHMxERERHlhGGmADBqavLkyZlGT5H78Tx7B88zz3Nhwp/nwDrPfn87AyIiIqLcsGWGiIiILI1hhoiIiCyNYYaIiIgsjWGGiIiILI1hJhezZ8+WKlWqSGRkpN5WYfPmzTnuiwn9+vfvL7Vq1dKJ+kaPHu2J71eh5cq5Xrp0qXTp0kXuu+8+naQJM0OvXLnSq8cbCOf5p59+kocfflhKliwpUVFRUrt2bfnrX//q1eMNhPNsb8uWLRIaGiqNGzf2+DEG2nnesGGDzgKfdTl8+LBXjzkQfp6Tk5NlwoQJOrktRjlVq1ZN/vGPf3j2IDGaibJbvHixERYWZvz97383Dh48aIwaNcqIiYkxzpw54/B0nTp1yhg5cqSxYMECo3Hjxro/eeZcY/v06dON7du3G0ePHjXGjx+vr9+9ezdPuRvPM87nl19+aezfv19/vr/44gsjOjra+OSTT3ie3XieTTdv3jSqVq1qdO3a1WjUqBHPsZvP8/r16zFy1zhy5Ihx8eLFjCUtLY3n2s0/z4899pjRqlUrY/Xq1fq345dffjG2bNlieBLDTA5atmxpDB8+PNO62rVrG+PGjcvzpLZv355hxkvn2lS3bl3jjTfecOVjA447znPv3r2NgQMHeuDoCo/8nue+ffsaEydONCZPnsww44HzbIaZGzduOPP2lM/z/O9//9soWrSoce3aNcOb2M3kQEpKiuzatUu6du2aaT2eb9261bNNZQHGHec6PT1db0ZWokQJDx2l9bnjPO/Zs0f3bd++vYeOMnDP86effionTpzQycfIc+cZmjRpIuXKlZPOnTvL+vXrebrdfJ6///57vTH0u+++KxUqVJCaNWvKyy+/LElJSeJJlrg3k7ddvXpVbDablClTJtN6PL906ZLPjqswcse5fv/99+Xu3bvy5JNPeugoA/s840atV65ckbS0NHn99ddl2LBhHj7awDrPx44dk3HjxmkdAuplyDPnGQFm3rx5WvOBmo4vvvhCAw1qadq1a8fT7qbzfPLkSa23Q33NsmXL9D1wb8Xr1697tG6Gvzm5QHGYPXTLZV1Hvj3XX331lV5gly9fLqVLl+a3wwPnGRfZhIQE2bZtm150q1evLv369eO5dsN5xoUCAwfeeOMN/Rcsee7nGYMzsJgwcODcuXMyY8YMhhk3nme0lGPbokWLMu54/cEHH0ifPn1k1qxZOpjAExhmHChVqpSEhIRkS57x8fHZEir57lwvWbJEhg4dKl9//bU88sgj/FZ46DxjFAM0aNBALl++rOGRYcY95xndozt37tQuvBEjRmRcDHCxQCvNqlWrpFOnTvzZduPPs70HH3xQFi5cyPPrxvOMFjB0L5lBBurUqaM/0+fPn5caNWqIJ7BmxoHw8HBtily9enWm9Xj+0EMPeeQbEajye67RIvPMM8/Il19+KT179vTCkVqbu36m8QcJTfTknvOMqQX27dsne/fuzViGDx+uLQj4/1atWvFUe/DnGSESF19y33nGdA4XLlzQ1lzT0aNHdcoSdFl7jFfLjS04HG3+/Pk6HG306NE6HO306dO6HZXcgwYNyvSaPXv26NKsWTOjf//++v8HDhzw0VdQeM81hguHhoYas2bNyjTEEkNbyX3n+eOPPza+//57Hf6O5R//+IdRpEgRY8KECTzNbjzPWXE0k2f+bvz1r381li1bpj/LmG4A23EJ/Pbbb/nz7MbzfOfOHaNixYpGnz599Pq3ceNGo0aNGsawYcMMT2KYyQUulpUrVzbCw8ONpk2b6jfFNHjwYB2CnelkimRb8Hpy77nG/zs619iP3HeeZ86cadSrV0/nlkGIadKkiTF79mzDZrPxNLvxPGfFMOOZ84y5qapVq2ZERkYaxYsXN9q0aWP861//4s+yB36eDx06ZDzyyCNGVFSUBpuxY8caiYmJhicF4T+ea/chIiIi8izWzBAREZGlMcwQERGRpTHMEBERkaUxzBAREZGlMcwQERGRpTHMEBERkaUxzBAREZGlMcwQERGRpTHMEFFA2bBhg97V9+bNm07t36FDBxk9erTHj4uI8o9hhojyhJt6IgBkXbp37+4XZw938m7cuLFT++IGeRcvXsx0V9/cLF26VKZOnZrx/IEHHpAPP/ww38dKRO4X6oH3JKJCCMHl008/zbQuIiJCrCQ1NVXvBFy2bFmnX1OiRAmPHhMRFRxbZojIKQguCAH2S/HixXUbumyee+45KVOmjERGRkr9+vVlxYoVGa/dsmWLtG/fXqKjo/U13bp1kxs3bug23B7u3XfflapVq0pUVJQ0atRIvvnmm2zdQmvXrpXmzZvre6B15ciRI7r9s88+kzfeeEN+/fXXjBYjrAP8/9y5c+Xxxx+XmJgYefPNNx12M+V2fPbdTPj/M2fOyJgxYzI+6+7du1KkSJFMxwz/8z//o595584d/oQReRjDDBEVSHp6uvTo0UO2bt0qCxculIMHD8o777wjISEhun3v3r3SuXNnqVevnvz888/y008/yaOPPio2m023T5w4UVt85syZIwcOHNCgMHDgQNm4cWOmz5kwYYK8//77snPnTgkNDZU//elPur5v377y0ksv6fuj+wgL1pkmT56sYWbfvn0Zr7GX1/Fl7XKqWLGiTJkyJeOzEFieeuqpbK1WeN6nTx+Ji4vjTxiRh7GbiYicgpaW2NjYTOtee+01adWqlWzfvl0OHTokNWvW1PVoZTGh1QUtKrNnz85Yh+AAaNX44IMPZN26ddK6deuM1yJQfPLJJ9paYnrrrbcyno8bN0569uwp9+7d09YcHBcCjqPuo/79+2cKMadOncq0Pbfjc9TlhJCGgGL/WcOGDdPWogsXLkj58uXl6tWrer5Wr17txJklooJimCEip3Ts2FFbT7Je3P/7v/9bWyvMIOOo5eOPf/yjw21oxUEg6dKlS6b1KSkp0qRJk0zrGjZsmPH/5cqV08f4+Hi5//77cz1uBJXc5HZ8zmrZsqUGoM8//1yD1hdffKHH1a5duwK9LxE5h2GGiJyC7pTq1atnW4+Wkdzkth1dVPCvf/1LKlSokGtxcVhYWMb/o1bF/vV5HXd+j88VaJ35+OOPNcygi2nIkCEZx0lEnsWaGSIqELSYnD9/Xo4ePZrjdhTvOlK3bl0NLWfPntWgZL9UqlTJ6WPACCVHNS7OHn9Ox+fKZ6HOB1/HzJkztfZn8ODB+ToeInIdW2aIyCnJycly6dKlzH9AQkO1jgXdKX/4wx+0/gVB5PDhwxnz0IwfP14aNGggf/7zn2X48OEaBtavX69dO6VKlZKXX35Zi37RytKmTRu5ffu2FhOjDsbZQIC5X1ALgy4jdHmhpsXZYeN5HZ+jz9q0aZMW/eIzzH0wCuqJJ56QV155Rbp27arHQUTewZYZInLKjz/+qLUq9gvCB3z77bfSokUL6devn7a2vPrqqxmtF6ilWbVqlQ6dRm0JCn2XL1+uQQgwId2kSZNk2rRpUqdOHR0WjWHNVapUcfo7gyCF4IS6nvvuu0+++uorp1+b1/FlhZFMp0+flmrVquln2Rs6dKjW+zgaNUVEnhNkYJIHIiIqsEWLFsmoUaN0VBNaeIjIO9jNRERUQImJidrNhdal559/nkGGyMvYzUREVECYqwb3hsIMyKjBISLvYjcTERERWRpbZoiIiMjSGGaIiIjI0hhmiIiIyNIYZoiIiMjSGGaIiIjI0hhmiIiIyNIYZoiIiMjSGGaIiIhIrOz/AcZoz0wbTDCfAAAAAElFTkSuQmCC", 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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": 19, "id": "88efb70a", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:55:07.683532Z", "iopub.status.busy": "2026-07-11T10:55:07.683461Z", "iopub.status.idle": "2026-07-11T10:55:11.591124Z", "shell.execute_reply": "2026-07-11T10:55:11.590659Z" } }, "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)],\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": 20, "id": "36b31e6c", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:55:11.592379Z", "iopub.status.busy": "2026-07-11T10:55:11.592296Z", "iopub.status.idle": "2026-07-11T10:55:23.062694Z", "shell.execute_reply": "2026-07-11T10:55:23.062263Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/barry/miniforge3/envs/few_env/lib/python3.12/site-packages/IPython/core/pylabtools.py:170: UserWarning: Creating legend with loc=\"best\" can be slow with large amounts of data.\n", " fig.canvas.print_figure(bytes_io, **kw)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "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": 21, "id": "556743b8", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:55:23.063799Z", "iopub.status.busy": "2026-07-11T10:55:23.063738Z", "iopub.status.idle": "2026-07-11T10:55:23.283420Z", "shell.execute_reply": "2026-07-11T10:55:23.283082Z" } }, "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": 22, "id": "f4da894d", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:55:23.284756Z", "iopub.status.busy": "2026-07-11T10:55:23.284696Z", "iopub.status.idle": "2026-07-11T10:55:26.997779Z", "shell.execute_reply": "2026-07-11T10:55:26.997355Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "max frequency 0.0028153580917007104\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "max frequency 0.0028153580917007104\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')" ] } ], "metadata": { "kernelspec": { "display_name": "few2.0rc1", "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": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }