{ "cells": [ { "cell_type": "markdown", "id": "0b25425c", "metadata": {}, "source": [ "# Basic usage" ] }, { "cell_type": "code", "execution_count": 1, "id": "4d8dd7ca", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Taichi] version 1.7.4, llvm 15.0.4, commit b4b956fd, linux, python 3.10.19\n", "[Taichi] Starting on arch=x64\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[I 02/05/26 15:56:22.404 196615] [shell.py:_shell_pop_print@23] Graphical python shell detected, using wrapped sys.stdout\n", "/tmp/ipykernel_196615/845489508.py:13: UserWarning: Wswiglal-redir-stdio:\n", "\n", "SWIGLAL standard output/error redirection is enabled in IPython.\n", "This may lead to performance penalties. To disable locally, use:\n", "\n", "with lal.no_swig_redirect_standard_output_error():\n", " ...\n", "\n", "To disable globally, use:\n", "\n", "lal.swig_redirect_standard_output_error(False)\n", "\n", "Note however that this will likely lead to error messages from\n", "LAL functions being either misdirected or lost when called from\n", "Jupyter notebooks.\n", "\n", "To suppress this warning, use:\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\", \"Wswiglal-redir-stdio\")\n", "import lal\n", "\n", " import lal\n" ] } ], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "import taichi as ti\n", "ti.init(\n", " arch=ti.cpu,\n", " default_fp=ti.f64,\n", " cpu_max_num_threads=1,\n", " offline_cache=False,\n", " debug=True,\n", ")\n", "\n", "import lal\n", "import bilby\n", "\n", "from pespace.detector.antenna import InterferometerAntenna, FDResponseModelMarset2018\n", "from pespace.detector.tdi import TDIChannelData, FDMichelsonConstantEqualArm\n", "from pespace.detector.orbit import available_orbit_models, ConstellationVectorStruct\n", "from tiwave.waveforms import IMRPhenomXAS, IMRPhenomXHM\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "511b3cb9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of time samples: 131072.0\n", "Duration: 655360.0 seonds\n", "Duration: 7.5851851851851855 days\n" ] }, { "data": { "text/plain": [ "{'total_mass': 3000000.0,\n", " 'mass_ratio': 0.6,\n", " 'chi_1': 0.75,\n", " 'chi_2': 0.62,\n", " 'luminosity_distance': 56000.0,\n", " 'inclination': 0.4,\n", " 'reference_phase': 1.3,\n", " 'ecliptic_longitude': 1.375,\n", " 'ecliptic_latitude': -1.2108,\n", " 'polarization': 2.659,\n", " 'coalescence_time': 0.0,\n", " 'mass_1': 1875000.0,\n", " 'mass_2': 1125000.0,\n", " 'chirp_mass': 1256226.717491785,\n", " 'symmetric_mass_ratio': np.float64(0.234375)}" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tdi_gen = \"2.0\"\n", "tdi_chan = (\"A\", \"E\", \"T\")\n", "\n", "dt = 5.0\n", "f_min = 1e-5\n", "f_max = 0.5*(1/dt)\n", "f_ref = f_min\n", "t_start = 0.0\n", "\n", "num_tsamples = 2**np.ceil(np.log2(7*lal.DAYJUL_SI/dt))\n", "duration = num_tsamples * dt\n", "print(f\"Number of time samples: {num_tsamples}\")\n", "print(f\"Duration: {duration} seonds\")\n", "print(f\"Duration: {duration/lal.DAYJUL_SI} days\")\n", "\n", "before_tc = 0.8 * duration\n", "after_tc = 0.2 * duration\n", "tc = t_start + before_tc\n", "\n", "params = dict(\n", " total_mass=3e6,\n", " mass_ratio=0.6,\n", " chi_1=0.75,\n", " chi_2=0.62,\n", " luminosity_distance=56000.0,\n", " inclination=0.4,\n", " reference_phase=1.3,\n", " ecliptic_longitude=1.375,\n", " ecliptic_latitude=-1.2108,\n", " polarization=2.659,\n", " # coalescence_time=tc,\n", " coalescence_time=0.0,\n", ")\n", "params = bilby.gw.conversion.generate_mass_parameters(params)\n", "display(params)" ] }, { "cell_type": "markdown", "id": "f647d6ab", "metadata": {}, "source": [ "## Noise" ] }, { "cell_type": "code", "execution_count": 3, "id": "3630eb45", "metadata": {}, "outputs": [], "source": [ "tdi_data = TDIChannelData()\n", "tdi_data.set_fd_data_from_zero(\n", " channels=tdi_chan, \n", " duration=duration, \n", " delta_time=dt,\n", " start_time=t_start,\n", " minimum_frequency=f_min,\n", " maximum_frequency=f_max,\n", " )\n", "\n", "tdi_data.set_fd_noise_power_density_from_model('LISA_SciRDv1', tdi_generation=tdi_gen)\n", "# To avoid potentially leading the missmatch among data in different domains, the noise\n", "# realization is not directly added into the stored tdi_data internally.\n", "# Instead, a method to generate noise realization according to the stored power spectral \n", "# density is provided. The generated noise realization need to be manually added into the tdi_data externally.\n", "noise = tdi_data.get_fd_noise_realization()\n", "tdi_data.add_into_fd_data(noise)\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "625e4747", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = tdi_data.data_info.delta_frequency\n", "freqs = tdi_data.data_info.frequency_samples_array\n", "psd = tdi_data.fd_noise_power_density_numpy\n", "noise = tdi_data.fd_data_numpy\n", "\n", "tab20_colors = plt.cm.tab20.colors\n", "fig, ax = plt.subplots()\n", "lineA, = ax.loglog(freqs, np.abs(noise['A']), color=tab20_colors[1], label='A')\n", "lineE, = ax.loglog(freqs, np.abs(noise['E']), color=tab20_colors[3], label='E')\n", "lineT, = ax.loglog(freqs, np.abs(noise['T']), color=tab20_colors[5], label='T')\n", "\n", "line_psd_A, = ax.loglog(freqs, np.sqrt(psd['A']/df), color=tab20_colors[0], linestyle='dashed', label=r'$\\sqrt{S_{\\mathrm{A}}/\\Delta f}$')\n", "line_psd_E, = ax.loglog(freqs, np.sqrt(psd['E']/df), color=tab20_colors[2], linestyle='dashed', label=r'$\\sqrt{S_{\\mathrm{E}}/\\Delta f}$')\n", "line_psd_T, = ax.loglog(freqs, np.sqrt(psd['T']/df), color=tab20_colors[4], linestyle='dashed', label=r'$\\sqrt{S_{\\mathrm{T}}/\\Delta f}$')\n", "\n", "ax.set_xlim(f_min, f_max)\n", "ax.set_xlabel('Frequency (Hz)')\n", "ax.set_ylabel('Amplitude')\n", "\n", "legend1 = ax.legend(handles=[lineA, lineE, lineT], loc='upper center', bbox_to_anchor=(0.15, 1.0))\n", "legend2 = ax.legend(handles=[line_psd_A, line_psd_E, line_psd_T], loc='upper center', bbox_to_anchor=(0.35, 1.0))\n", "ax.add_artist(legend1)\n" ] }, { "cell_type": "markdown", "id": "b558f5f5", "metadata": {}, "source": [ "## Orbit" ] }, { "cell_type": "code", "execution_count": 5, "id": "256ccacf", "metadata": {}, "outputs": [], "source": [ "orbit_model = available_orbit_models['LISA_analytic']" ] }, { "cell_type": "code", "execution_count": 6, "id": "75c813db", "metadata": {}, "outputs": [], "source": [ "tsamples_np = np.arange(0, lal.YRJUL_SI, 3600)\n", "tsamples = ti.field(ti.f64, shape=tsamples_np.shape)\n", "tsamples.from_numpy(tsamples_np)\n", "orb_vecs = ConstellationVectorStruct.field(shape=tsamples_np.shape)\n", "\n", "@ti.kernel\n", "def orbit_test():\n", " for i in tsamples:\n", " orb_vecs[i] = orbit_model.get_constellation_vectors(tsamples[i])\n", "orbit_test()\n", "\n", "orb_vecs_np = orb_vecs.to_numpy()\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "a8da9886", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "AU_SEC = lal.AU_SI / lal.C_SI\n", "\n", "plt.figure(figsize=[8, 2])\n", "plt.plot(tsamples_np, orb_vecs_np[\"x1\"][:, 0] / AU_SEC, label=\"node 1\")\n", "plt.plot(tsamples_np, orb_vecs_np[\"x2\"][:, 0] / AU_SEC, label=\"node 2\")\n", "plt.plot(tsamples_np, orb_vecs_np[\"x3\"][:, 0] / AU_SEC, label=\"node 3\")\n", "plt.ylabel(\"x (AU)\")\n", "plt.xlabel(\"time (sec.)\")\n", "plt.legend()\n", "\n", "plt.figure(figsize=[8, 2])\n", "plt.plot(tsamples_np, orb_vecs_np[\"x1\"][:, 1] / AU_SEC, label=\"node 1\")\n", "plt.plot(tsamples_np, orb_vecs_np[\"x2\"][:, 1] / AU_SEC, label=\"node 2\")\n", "plt.plot(tsamples_np, orb_vecs_np[\"x3\"][:, 1] / AU_SEC, label=\"node 3\")\n", "plt.ylabel(\"y (AU)\")\n", "plt.xlabel(\"time (sec.)\")\n", "plt.legend()\n", "\n", "plt.figure(figsize=[8, 2])\n", "plt.plot(tsamples_np, orb_vecs_np[\"x1\"][:, 2] / orbit_model.arm_length_sec, label=\"node 1\")\n", "plt.plot(tsamples_np, orb_vecs_np[\"x2\"][:, 2] / orbit_model.arm_length_sec, label=\"node 2\")\n", "plt.plot(tsamples_np, orb_vecs_np[\"x3\"][:, 2] / orbit_model.arm_length_sec, label=\"node 3\")\n", "plt.ylabel(\"z (Larm)\")\n", "plt.xlabel(\"time (sec.)\")\n", "plt.legend()\n" ] }, { "cell_type": "markdown", "id": "1ea048e4", "metadata": {}, "source": [ "## Waveform" ] }, { "cell_type": "code", "execution_count": 8, "id": "3f6f2170", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/nrui/disk_ext/workspace/tiwave/tiwave/waveforms/base_waveform.py:69: UserWarning: check_parameters is disable, make sure all parameters passed in are valid.\n", " warnings.warn(\n" ] } ], "source": [ "wf = IMRPhenomXAS(tdi_data.frequency_samples, f_ref)\n", "wf.update_waveform(params)\n", "wf_np = wf.waveform_container_numpy" ] }, { "cell_type": "code", "execution_count": 9, "id": "7cf93c33", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Frequency (Hz)')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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NmZ0WrYcsVZVMNY2lUSwAs/PqsYDjx4/LmjVrJDU1Vf+DfvDgwQGv2b17t2RlZUloaKhkZ2fLiRMnXJqG1XsuXrxYjh075rL3BfxRTFiwPDz3Lnlhw1w5/fSfyIFvLpInH5wss+6K1s9/UFIvP/z9FVm7+5Qs+H9/J9v358mb50ulvk9XfwAwE6+uhDU1NcmcOXPkscceky9/+csDnt+/f79s27ZNB7H7779fXn75ZVm9erVcvHhRMjIy9GtUiGptdZ6Xorz99ts63N3OtWvX9Gs+/PBD+fznPy8XLlxwe2kS8Aeq+eu8jFi9bf/sFKloaJFj+d1VMrWsUnVTm/yfczf0plZOUo1iVZVMNYudNj5S/6cMAHydz6wdqf7RPXDggHzxi190PHbffffJ/PnzZc+ePY7Hpk+frl+zc+fOYb+3Go7ctWvXgDlhfalw9w//8A96gv5gVNDrG/ZUFS09Pd0jY8qAmbR3dknu9VpHX7KPbzo3ih0fFaqvtlQtMNSVl+EhXv1/SQA+xsacsDtra2uT3Nxc+c53vuP0+MqVK+XUqVNjPgm1tbUSFhYmISEhUlJSoqtrEydOHPL1KvQ988wzY/5cwN+pKyY/MzFebztWT5eS2mbH5P6Tn1RJua1F/vv9Yr2pRrH3ZsU5rrhUPcqokgHwFT77X0h11WJnZ6ckJyc7Pa7ul5eXD/t9Vq1aJWfPntVDn2lpabratmDBArl06ZJ84xvfkMDAQP2P+ksvvSRxcXFDvs+OHTtk+/btAyphAMYmLTZM/uIzmXpTjWLfK6zRgewPlyukqKZZr3Optn/4tUhmfJijc/99WXESGkSjWADey2dDWK/+/+tVo6sj+Z/woUOHBn180aJFeg7YcKmKmdoAuI8KVaqdhdr+bs0MKaxq0mFMVcreK6yW69XNsu/UNb2pRrGLJsV3V8mm0SgWgPfx2RCmenhZLJYBVa+KiooB1TEA5qP+szUxMUJvW5ZMlMbWDjlVUNUzl6xSD1v+/nKF3pQpyRE9w5ZJeqI/jWIBGM1nQ1hwcLC+8vHw4cO6630vdf/hhx82dN8AeF5EiFVW3jNeb6oifrm8oadKVqEn+qsJ/mp7+dhVR6NYtcbl0qmJkhQZyikD4HFeHcJUJ/uCggLH/cLCQsnLy9Nzs1QLCjUHa+PGjfqKxYULF8revXulqKhItm7dauh+AzC+SjY9JUpvvY1ij1+p0ouOH6VRLAAv4dUtKlTrCNXRvr9NmzbJvn379G3VI+y5556TsrIyvc7jCy+8IA888IAYjWWLAO/U2WWXD0rq5IjuS1ahm8T2FR8erOecLVPLKU1OlOiwIMP2FYDnsXakCRDCAN/Qv1FsQ2uH47m+jWLVXLLpKTSKBczO5sE+YV5dCfNlhDDA99AoFoCNEOb7CGGA7+ttFKuGLU8WVMut9k7HczSKBczJRgjzfYQwwFz6NopVbTBUT7K+aBQLmIONEOb7CGGAealZHKpRrJrcr0KZahTb3vnpzA4axQK+y0YI832EMMB/NLV2yEndKLY7lKlGsX3RKBbwHTZCmO8jhAH+abBGsV19Ln+iUSzg3WyEMN9HCAOgDNYotq9Zd0X3LKeUKHPSYiRQ9cUAYBhCmAkQwgCMpVHsA5MTJCYsmIMIeBghzAQIYQDupLKhVYexoRrFzk6LkSWTE2TJ5ESZlxHDouOABxDCTIAQBmC0jWKPXq6U/JsNTs+HB1vkMxPjZXFPKJuUGK7XyATgWoQwEyCEARiLsvpbcuJKlbxzpUpfeVndby5ZSnSoLL47QYcy9TU+IoQDDrgAIcwECGEAXKWryy4Xy2zyTkF3KHv/Wo20dXQ5veae1KjuKtndiZIzIVZCgyycAGAUCGEmQAgD4M7u/e8X1uhQpqpll8psTs+rJZXmpsfIZybG6SHM+ZmEMmC4CGEmQAgD4MkJ/id7Apn62r9ZrA5lGSqUxetgNj+DUAYMhRBmAoQwAEY1iy2qaZY/flIt715VW81tQ9m9E+L07YgQKycMEEKYKRDCAHhLKFOLjXcHsmr549VquWlrdXqNaocxbXyUnkuWndm93RUzjqsv4ZdsdMz3fYQwAL4Qys5cr5WS2lsDXpccFSI5mXF6PllOZqzMSI2iTxn8go0Q5vsIYQB8xU1bi+5RduZareRer5GPSm3S0XfBSxEJDQqUmanRMic9Rk/6V1taLNUymI+NEOb7CGEAfNWttk45X1Kng1nvVn+rfcDrEiKC9XqXvcFM3Y4OCzJknwFXIYSZACEMgJn6lF2tapLzxXWSV1ynA5pqi9He6VwtUyYmhHcHsp5gNj0lSoKtgYbsNzAahDATIIQBMHuvMtVANq+oO5SpcKbmmvUXZAmQyUmROoypeWUz1NeUKCpm8FqEMBMghAHwN7VNbZJXUvdpxay4TmqbBw5jKurqy+kpkTqQqYA2LSVKMuLCxKIu1QQMRAgzAUIYAH+nrsRUV16qipkavrxYapNL5TYprhl4NaYyLsgiU8ZHyvTxkTJtfKRMHa8CWqTEhAV7fN/hv2xMzPd9hDAAGOLfx5Z2uVzWIBdL63VAu1zeIPnlDdLabz3MXuOjQmVaigpm3aFMfZ2YGE7LDLgFIcwECGEAMHydXap/WZMOZJdV5Ux9vU3VTM01m5QY0T2UqSpnKVEyMzVK4iNCOOwYE0KYCRDCAGDsGlra5eObDXKprDuUqQqaCmqNrR2Dvn7WXdGydEqirLpnvMxKi+YUYMQIYSZACAMA9801u1F3qyeQdVfN1Jyzq5VNTq9bMjlB/r+1syQ9LoxTgWEjhJkAIQwAPKuioUVOfFwlf7hcIYc+Ktdd/yNDrfLq1+6VeRmxnA4MCyHMBAhhAGCcoupm+db+c3KuqE6iQq3ymyeXUBGD1/3+po0xAMB0MuLD5L+23Ke79ttaOmT7G3m68z/gTQhhAABTCgu2yr/+2TwJD7bI6Wu18psLZUbvEuCEEAYAMC01Kf9/PzBJ3/7B2/m6FQbgLQhhAABT27IkS6LHBcm16mY5ml9h9O4ADoQwAICphYdYZcOCdH1736lrRu8O4EAIAwCY3sbPZOqv7xRUSXl9i9G7A2iEMACAX8wNy8mMFbtd5NcflBq9O4BGCAMA+IU/nZuqv/7f84QweAdCGADALzw0K0UCA0TOl9RLad3gC4MDnkQIAwD4hYSIEMfyRUe4ShJegBAGAPAbK6Yl6a9HLtOqAsYjhAEA/MayqYn668mCamlp7zR6d+DnCGEAAL8xIyVKxkeFyq32TnmvsMbo3YGfI4QBAPxGQECAPDAlQd8+VVBl9O7AzxHCAAB+ZdGknhD2SbXRuwI/RwgDAPiVhZPi9dePSuulvrnd6N2BHyOEAQD8SnJUqExMDJcuu8h7hVTDYBxCGADA7yyc2F0N++NVQhiM4/chbO3atRIbGyvr1q1zOjD5+fkyd+5cxzZu3Dg5ePCgYScKAOD6Ick/Mi8MBvL7EPbkk0/Kq6++OuDATJ06VfLy8vT2zjvvSHh4uHz2s5815CQBAFzrMz2VsMvlDVLT1MbhhSH8PoQtX75cIiMjb3uQ3nzzTXnwwQd1EAMAmGMJo8lJEfr2mWv0C4MxvDqEHT9+XNasWSOpqam6t8tgw4G7d++WrKwsCQ0NlezsbDlx4oTL9+ONN96QDRs2uPx9AQDGWZAVp7+euV7LaYAhvDqENTU1yZw5c2TXrl2DPr9//37Ztm2bPP3003Lu3DlZsmSJrF69WoqKihyvUcFs5syZA7bS0tJh7YPNZpOTJ0/KQw89dNvXtba26tf23QAA3mvBhO7FvE9TCYNBrOLFVKBS21Cef/552bx5s2zZskXff/HFF+XQoUOyZ88e2blzp34sNzd3TPvwq1/9SlatWqUrbbejPu+ZZ54Z02cBADwnJ7O7EnahpF5utXXKuGALhx8e5dWVsNtpa2vTAWvlypVOj6v7p06d8vhQ5I4dO6S+vt6xFRcXu2wfAACulxY7Tq8j2dFll7ziOg4xPM5nQ1hVVZV0dnZKcnKy0+Pqfnl5+bDfR1W51q9fL2+99ZakpaXJ6dOnHc+pMPX+++/r19xJSEiIREVFOW0AAO+l5hrn9AxJMjkfRvDq4cjh/hD1ZbfbBzx2O2r4cijR0dFy8+bNMe0fAMB7LZgQJ7/+oExOMzkfBvDZSlhCQoJYLJYBVa+KiooB1TEAAAbTWwk7e71WOtU6RoAH+WwICw4O1lc+Hj582OlxdX/RokWG7RcAwHdMGx8lESFWaWztkMvlXNUOz/Lq4cjGxkYpKChw3C8sLNQd7OPi4iQjI0O2b98uGzdulJycHFm4cKHs3btXt6fYunWrofsNAPANlsAAmZ8ZK8c/rpQz12rlntRoo3cJfsSrQ9iZM2d0R/teKnQpmzZtkn379umrFqurq+XZZ5+VsrIy3f9LTbDPzMw0cK8BAL5kQU8IU/3CNi2aYPTuwI8E2NVMdricataqJvarKyy5UhIAvNe7V6vlf+19V5KjQuTdHQ+O6OIumI/Ng7+/fXZOGAAArjAnLUaCLAFy09YqJbW3OKjwGEIYAMCvqU75vXPBzlxnMW94DiEMAOD3Pl1HksW84TmEMACA38uZ0L2OZC4hDB5ECAMA+L3szO5KWP7NBqlvbvf74wHPIIQBAPxeQkSITEwI18cht4h5YfAMQhgAACKOaphq2gp4AiEMAICexbwVQhg8hRAGAECfxbzPl9RJa0cnxwRuRwgDAEBEshLCJT48WFo7uuTDGyzmDfcjhAEAoNbxCwjoMy+MyflwP0IYAAD954VdZ3I+3I8QBgBAj+wJn1bC7HY7xwVuRQgDAKDHzNRoCbEGSm1zu3xS2cRxgVsRwgAA6BFsDZQ56TH6di6LecPNCGEAAPTBYt7wFEIYAACDLebN5Hy4GSEMAIA+5mfESkCASGFVk1Q2tHJs4DaEMAAA+ogeFyRTkyP1beaFwZ0IYQAADLGEEetIwp0IYQAA9JOT2T0v7DTzwuBGhDAAAIaohH10o15utbGYN9yDEAYAQD93xYyT8VGh0tFll7ziOo4P3IIQBgDAIIt5fzovjMW84R6EMAAABsFi3nA3QhgAAIPIzuyuhJ29XiudXSzmDdcjhAEAMIhp4yMlIsQqDa0dkl/ewDGCy1lH+41ZWVl6zHyktm3bJk8++eRoPxYAAI+wWgJlXkaMnLhSpZu2zkiN4sjDO0LYvn37RvV9EyZMGO1HAgDg8X5hKoSdvlYrGxfy+wteEsKWLl3q2j0BAMDLLOAKSbgRc8IAABjC3IwYsQQGSGl9i9you8Vxgm+FMLudK0oAAL4pLNgq9/TMBaNfGHwuhGVnZ7v7IwAAcPs6krmsIwkXoxIGAMBt9HbOV5PzAa+YmH87r776qmMosra21nFfeeSRR9zxkQAAuEVOT9PWy+U2sbW0S1RoEEca3lsJU+Grdy5Y36/MDwMA+JqkqFDJiAsT9evsXBGLecPLK2GbNm1y3H7ppZeofgEAfH5IsqimWU/OXzol0ejdgUkwJwwAgOEu5s28MPhSCMvNzXX3RwAA4JF5YeeKa6W9s4ujDd8IYYGB9IMFAPi2SYkREhMWJC3tXfJRqc3o3YFJDDshbd26VU6cODHoc6dPn5YHH3xQZs+eLV/60pfk2WeflTfffFOKiopcua8AABgiMDDAUQ2jaSs8HsJycnKGnGC/ceNGsVgsOqhNnDhRjh07Jo899pherDs+Pt5lOwsAgFGye5q2nr5Ww0mAZ6+OfP/99+WrX/3qoM8VFxfLb37zG5k0aZLT49evX5e8vLyx7yUAAF6ymLfqnK9aLgUEBBi9S/CXEKaqW7/97W8Hfe7+++/XQax/CMvMzNQbAAC+blZatARbA6WqsU2uVTdLVkK40bsEfxmO/P73vy9/+7d/67j/8MMPy/e+9z355S9/qYch1Tyw6upqd+0nAACGCrFaZE5atL7NkCQ8Wglbs2aN3npNnjxZTp06JXv27HGEr6lTp+pwtnDhQpk3b57MmjVLgoODXbKjAAB4Q78wtYakmpz/lZx0o3cHPm7U/SNUZex3v/udVFZW6qsg1dWQ27Ztk/r6evmnf/onuffeeyUiIkJfMenN1q5dK7GxsbJu3bpB/4z33HOPzJw5U/7zP//TkP0DAHgPmrbC65YtSktL09sXvvAFx2ONjY1y7tw5+eCDD8SbPfnkk/K1r31NXnnlFafHL1y4IK+//rqj2axqwaH+fDExMQbtKQDAaPMzYkXNx79a1SRVja2SEBFi9C7Bh7mtk6qqgi1ZskQef/xx8WbLly+XyMjIAY9funRJFi1aJKGhoXqbO3fukBcmAAD8Q3RYkExN7v6dwRJGMCyEZWVl6Z5gI91++MMfDvszjh8/ruehpaam6kuBDx48OOA1u3fv1vuiglJ2dvaQDWVHSg1BHjlyROrq6vT2hz/8QW7cuOGS9wYA+PZi3gpNW2HYcOS+fftG9X2qgetwNTU1yZw5c3Tj1y9/+csDnt+/f7+eh6aCmGqT8fLLL8vq1avl4sWLkpGRoV+jgllra+uA73377bd1uBvKjBkz9FDlihUrJDo6WhYsWCBWq0tGbwEAPj4v7D/fLeIKSYzZqFPF0qVLxd1UoFLbUJ5//nnZvHmzbNmyRd9/8cUX5dChQ/qKzZ07d455AfFvfOMbelPUZ9x9991DvlYFvb5hz2ZjbTEAMKOcCd2d8z8stUlzW4eEBfMfdIyOz66u3dbWpgPWypUrnR5X91XrDFeoqKjQX/Pz8/WKAatWrRrytSr0qYpZ75aezqXLAGBGd8WMk9ToUOnsskteUZ3RuwMf5rMhrKqqSjo7OyU5OdnpcXW/vLx82O+jgtX69evlrbfe0ld4qsXIe33xi1/Uw5J/8Rd/IT/96U9vOxy5Y8cO3Z6jd1MrCAAAzF0NUz3DgNHy+Rpq/7W7Rrqelxq+HMpIKmohISF6AwD4xzqSb54vlTPXWcwbflgJS0hIEIvFMqDqpYYQ+1fHAABwRyXs7PVa6ejs4uDCv0KYWg5JXfl4+PBhp8fVfdXfCwAAd5mSHCmRoVZpauuUy+UNHGiYbzhSdd0vKChw3C8sLJS8vDyJi4vTLSi2b98uGzdulJycHL1e5d69e/USSmpBcQAA3MUSGCDZmbFyNL9St6qYeVf3wt6AaULYmTNndEf7Xip0KZs2bdJ9yjZs2KAXD3/22WelrKxMN1hVE+wzMzMN3GsAgL/0C1MhTHXOf+z+LKN3Bz4owK5mssPlVJ8w1apCXSkZFRXFEQYAk3nvarVs2PuuJEWGyHv/z4MjuigM3suTv799dk4YAABGmpMeI0GWAKloaJXimlucDIwYIQwAgFEIDbLIrJ65YGpeGDBShDAAAMYwL0yhXxhGgxAGAMAo0TkfY0EIAwBglHIyY/XXgopGqWlq4zhiRAhhAACMUmx4sExOitC3c6+zjiRGhhAGAIALhiTPMDkfI0QIAwBgjIt5K+8TwjBChDAAAFxwheSHN+rlVlsnxxLDRggDAGAM0mLHSXJUiLR32uV8SR3HEsNGCAMAYAzUckXMC8NoEMIAABijBT2tKk5f4wpJDB8hDACAMeqthJ29XiudXXaOJ4aFEAYAwBhNGx8pESFWaWjtkPzyBo4nhoUQBgDAGFktgTIvI0bfZh1JDBchDAAAF7aqYF4YhosQBgCAC+T0NG09XVgjdjvzwnBnhDAAAFxgbnqMWAMDpNzWIjfqbnFMcUeEMAAAXCAs2Cr33BWtb5+hVQWGgRAGAIDL+4XVcExxR4QwAABc5NPO+TRtxZ0RwgAAcPHk/PybDVLf3M5xxW0RwgAAcJGEiBCZmBCub+cWMSSJ2yOEAQDgQvQLw3ARwgAAcFO/MOB2CGEAALihEvZBSb20tHdybEEIAwDAEzLjw/TcsLbOLrlwo56DjiFRCQMAwIUCAgJkQe+QJP3CcBuEMAAAXIx+YRgOQhgAAC7WWwk7c61GurpYzBuDI4QBAOBiM1KiJCzYIraWDrlS0cjxxaAIYQAAuJjVEijzMmL07feZF4YhEMIAAHCD7MzuVhVnr7OOJAZHCAMAwA3m91TCzhYRwjA4QhgAAG4wL6N7cv716mapamzlGGMAQhgAAG4QPS5IJidF6Nvniuo4xhiAEAYAgJvM76mG5TIvDIMghAEA4CbzM5kXhqERwgAAcJPszO5K2AclddLe2cVxhhNCGAAAbjIxIUKiQq3S0t4ll8saOM5wQggDAMBNAgMDHFdJ5l6v4TjDCSEMAAAPTM4/yxWS6IcQBgCAB+aF0bQV/RHCAABwoznp0RIQIFJSe0sqbC0cazgQwgAAcKPI0CCZmhypb1MNQ1+EMAAA3Gy+Y0iSzvn4FCEMAABPTc6ncz768OsQVlxcLMuWLZMZM2bI7Nmz5ec//7nT82vXrpXY2FhZt26dYfsIAPB98zO6O+d/cKNe2jpo2opufh3CrFarvPjii3Lx4kX53e9+J3/1V38lTU1NjueffPJJefXVVw3dRwCA78tKCJfYsCAdwD4qrTd6d+Al/DqEpaSkyNy5c/XtpKQkiYuLk5qaT5vpLV++XCIjuydTAgAwWgEBAfQLg2+FsOPHj8uaNWskNTVV/wU+ePDggNfs3r1bsrKyJDQ0VLKzs+XEiROj+qwzZ85IV1eXpKenu2DPAQAYanJ+LYcG3h/C1NDgnDlzZNeuXYM+v3//ftm2bZs8/fTTcu7cOVmyZImsXr1aioqKHK9RwWzmzJkDttLSUsdrqqur5ZFHHpG9e/d65M8FAPA/83rmhZ1jcj56WMWLqUCltqE8//zzsnnzZtmyZYu+r+Z3HTp0SPbs2SM7d+7Uj+Xm5t72M1pbW/UE/B07dsiiRYtGva/qfdTWy2azjfq9AADmMyctRgIDRErrW6Ss/pakRI8zepdgMK+uhN1OW1ubDlgrV650elzdP3Xq1LDew263y6OPPiorVqyQjRs3jml/VOiLjo52bAxrAgD6Cg+xyvSUKH377HX6hcGHQ1hVVZV0dnZKcnKy0+Pqfnl5+bDe4+TJk3pIU801UxP01XbhwgXH86tWrZL169fLW2+9JWlpaXL69Okh30tV0urr6x2ban8BAMDgi3kzLwxePhw5HGrCfv/qVv/HhrJ48WI9GX8oamhzuEJCQvQGAMBQ5mfGyGvvXpdc5oXBlythCQkJYrFYBlS9KioqBlTHAADwpkrYxVKbtHZ0Gr07MJjPhrDg4GB95ePhw4edHlf3xzLBHgAAd8mIC+tu2trZJZfKGjjQfs6rhyMbGxuloKDAcb+wsFDy8vJ0U9WMjAzZvn27nlCfk5MjCxcu1C0mVHuKrVu3GrrfAAAMRk2XmZMeI0fzK+V8cZ3MTe9uWwH/5NUhTDVQVV3re6nQpWzatEn27dsnGzZs0D2+nn32WSkrK9P9v9Qk+szMTAP3GgCAoc3tCWF5xXWyiQPl17w6hKnFtdVE+9v55je/qTcAAHxBb/VLhTD4N5+dEwYAgK82bVUKq5qkrrnN6N2BgQhhAAB4UGx4sEyID9O3z5fUc+z9GCEMAACjhiSLGJL0Z4QwAAA8TF0hqZwvIYT5M0IYAAAGTs6/0wVoMC9CGAAAHjYjNUqCLAFS09QmxTW3OP5+ihAGAICHhVgtMiMlSt/OY0jSbxHCAAAwAJPzQQgDAMAAczN654XVcvz9FCEMAAADm7Z+WGqT9s4uzoEfIoQBAGCArIRwiR4XJG0dXXK5rIFz4IcIYQAAGCAgIMDRL4whSf9ECAMAwODJ+edYzNsvEcIAADDI3PRo/fU8IcwvEcIAADB4cv4nlU1Sf6ud8+BnCGEAABgkPiJEMuLC9O0PaNrqdwhhAAB4w2LeDEn6HUIYAABespg3/AshDAAAA81J656cf+FGPefBzxDCAAAw0IzUKAkMELlpa5WbthbOhR8hhAEAYKCwYKtMTorUty+UUA3zJ4QwAAAMNqtnSPIDhiT9CiEMAACDzbqrZ14YbSr8CiEMAAAvqYSpyfl2u93o3YGHEMIAADDYjJQosQQGSFVjm5TVMznfXxDCAAAwWGiQRaYkd0/O/4DJ+X6DEAYAgBeY3Tsv7AZNW/0FIQwAAG+6QpJKmN8ghAEA4AVm94SwD5mc7zcIYQAAeIGp4yMlyBIgtc3tUlJ7y+jdgQcQwgAA8AIhVotMGx+lb7OOpH8ghAEA4CWYF+ZfCGEAAHgJrpD0L4QwAAC8sBJG53zzI4QBAOAlVMPWYGugNLR0yPXqZqN3B25GCAMAwEsEWQL1EkbKBzfqjd4duBkhDAAAL+wXdqGEzvlmRwgDAMCLzOpZvojO+eZHCAMAwIvMTotxdM7v6rIbvTtwI0IYAABeZFJiuIwLskhTW6dcrWoyenfgRoQwAAC8iNUSKNNSIvXtj0qZnG9mhDAAALzMzNTueWEXS21G7wrciBAGAICXuSe1u03Fh1TCTI0QBgCAl7mnpxL2UamNzvkmRggDAMDLTBkfIdbAAKlrbpfS+hajdwduQggDAMDLhFgtMjk50tGqAuZECAMAwIvnhakhSZiTX4ew4uJiWbZsmcyYMUNmz54tP//5zx3PNTQ0yIIFC2Tu3Lkya9Ys+fGPf2zovgIA/MvM3hBGJcy0rOLHrFarvPjiizpoVVRUyPz58+Whhx6S8PBwCQsLk2PHjumvzc3NMnPmTPnSl74k8fHxRu82AMAP3NOzfBGVMPPy60pYSkqKDmBKUlKSxMXFSU1Njb5vsVh0AFNaWlqks7OTK1QAAB4zPSVKAgJEym0tUtXYypE3Ia8OYcePH5c1a9ZIamqqBAQEyMGDBwe8Zvfu3ZKVlSWhoaGSnZ0tJ06cGNVnnTlzRrq6uiQ9Pd3xWF1dncyZM0fS0tLkqaeekoSEhDH9eQAAGK6IEKtkxYfr21TDzMmrQ1hTU5MOQbt27Rr0+f3798u2bdvk6aeflnPnzsmSJUtk9erVUlRU5HiNCmZqKLH/Vlpa6nhNdXW1PPLII7J3716n94+JiZHz589LYWGhvP7663Lz5s0h97W1tVVsNpvTBgDAWMxwTM7nCkkz8uo5YSpQqW0ozz//vGzevFm2bNmi76v5XYcOHZI9e/bIzp079WO5ubm3/QwVntauXSs7duyQRYsWDfqa5ORkPXFfVebWr18/6GvU5z3zzDMj+NMBAHB7M++Kll9/UEYlzKS8uhJ2O21tbTpgrVy50ulxdf/UqVPDeg+73S6PPvqorFixQjZu3Oj0nKp69Vaz1FcVwKZOnTrke6kQV19f79jUlZcAALikTQVXSJqSV1fCbqeqqkpPlldVqr7U/fLy8mG9x8mTJ/WQpqpy9c43e+2113RLipKSEl1lU0FNbU888YR+3VBCQkL0BgCAq5cvulbdLA0t7RIZGsTBNRGfDWG91IT9vlRg6v/YUBYvXqwn4w9GzSXLy8tzyT4CADAaceHBkhodqpcuulhqk/sm0ibJTHx2OFJdqajaSPSveql+X/2rYwAA+KoZfRbzhrn4bAgLDg7W1arDhw87Pa7uDzXBHgAAXzPzLpYvMiuvHo5sbGyUgoICx33VKkINEaqmqhkZGbJ9+3Y9oT4nJ0cWLlyoW0yo9hRbt241dL8BAHD1vDDaVJiPV4cw1UB1+fLljvsqdCmbNm2Sffv2yYYNG3SPr2effVbKysp0/6+33npLMjMzDdxrAABcf4XklYpGaWnvlNAgC4fXJALsaiY7XE61tYiOjtbtKqKiun+AAAAYKfVrOvsffyc1TW3y5hP3y+y0GA6iSX5/++ycMAAA/IG64t/RL4zJ+aZCCAMAwAcW81YulXGFpJkQwgAA8HLTUyL1V0KYuRDCAADwkUrY5bIGPUcM5kAIAwDAy01MiJAgS4A0tHZISe0to3cHLkIIAwDAywVbA+XuJIYkzYYQBgCAT80LazB6V+AihDAAAHzADK6QNB1CGAAAvjQ5v5w2FWZBCAMAwAdMG989HHm9plmaWjuM3h24ACEMAAAfEB8RIkmRIaI6VFwuZ16YGRDCAADwEXTONxdCGAAAPoIQZi6EMAAAfKxNBcOR5kAIAwDA55YvsklXF8sX+TpCGAAAPmJiQrjunt/U1inFtc1G7w7GiBAGAICPsFoCZUpyhL59qYx+Yb6OEAYAgA+ZPr57SPIiyxf5PEIYAAA+ZFqfeWHwbYQwAAB8cSFvli/yeYQwAAB8cCHv4ppb0tDSbvTuYAwIYQAA+JCYsGBJiQ7Vt+kX5tsIYQAA+Bg655sDIQwAAB8zbTyd882AEAYAgI/JSgjXX0tqbxm9KxgDQhgAAD7GagnQX+12li7yZYQwAAAAAxDCAAAADEAIAwAAMAAhDAAAwACEMAAAAAMQwgAAAAxACAMAADAAIQwAAMAAhDAAAAADEMIAAAAMQAgDAAAwACEMAADAAIQwAAAAAxDCAAAADGA14kP9gd1u119tNpvRuwIAMJnmxgbpam2WtltN/J5xsd7f272/x90pwO6JT/FDV69elUmTJhm9GwAAYBQ++eQTmThxorgTlTA3iYuL01+LiookOjpavMWCBQvk9OnTXvW+I/3e4b7+Tq8b7fODPa7+55Seni7FxcUSFRUl3oLzPfxjwfl2z98jfr7dh59v9/x819fXS0ZGhuP3uDsRwtwkMLB7up0KYN70S9lisbhlf8byviP93uG+/k6vG+3zt/s+9Tjne2znZbSv53zz8+2Kvw/8fPPvef/f4+7ExHw/8/jjj3vd+470e4f7+ju9brTPu+sYugPne/jHgvPtnr9H/Hy7Dz/fvv/zzZwwN1HDU6oKpsqa3lQZgXtwvv0L59u/cL79i82Dv7+phLlJSEiI/N3f/Z3+CvPjfPsXzrd/4Xz7lxAP/v6mEgYAAGAAKmEAAAAGIIQBAAAYgBAGAABgAEIYAACAAQhhAAAABiCEeQGr1Spz587V25YtW4zeHXhAc3OzZGZmyre//W2Ot4k1NDToZVHUz/asWbPkxz/+sdG7BDdSy5YtW7ZMZsyYIbNnz5af//znHG+TW7t2rcTGxsq6detG9f20qPACCQkJUlVVZfRuwIOefvppuXLlil6f7Pvf/z7H3qQ6OzultbVVwsLCdPCeOXOmXqcuPj7e6F2DG5SVlcnNmzd16K6oqJD58+dLfn6+hIeHc7xN6siRI9LY2CivvPKK/OIXvxjx91MJAzxMha/Lly/LQw89xLE3ObUOoQpgSktLiw5ldrvd6N2Cm6SkpOgApiQlJekFoGtqajjeJrZ8+XKJjIwc9fcTwu7g+PHjsmbNGklNTZWAgAA5ePDggNfs3r1bsrKyJDQ0VLKzs+XEiRMjXiJBfd/ixYvl2LFjIzuD8LnzrYYgd+7c6cK9hjef77q6OpkzZ46kpaXJU089pSvfMO/57nXmzBnp6uqS9PR0F+w5vP18jxYh7A6ampr0P6C7du0a9Pn9+/fLtm3b9PDSuXPnZMmSJbJ69WopKipyvEadWDUM0X8rLS3Vz1+7dk1yc3PlRz/6kTzyyCM6lMGc5/tXv/qVTJkyRW/wj5/vmJgYOX/+vBQWFsrrr7+uh6tg3vOtVFdX63/L9+7d65E/F4w932Nix7Cpw3XgwAGnx+6991771q1bnR6bNm2a/Tvf+c6ojuznPvc5++nTpzkrJj3f6nVpaWn2zMxMe3x8vD0qKsr+zDPPuHS/4b0/3+q93njjDU6Ric93S0uLfcmSJfZXX33VZfsK7/75PnLkiP3LX/7yqPaLStgYtLW16QrWypUrnR5X90+dOjWs96itrdUTd5WSkhK5ePGiTJw4cSy7BS8+32oYUl1BpaqfakL+17/+dfne977npj2G0edbVb16K9vqqxoemTp1KifGpOdb/a5/9NFHZcWKFbJx40Y37Sm85Xy7gtVjn2RC6opGNdE2OTnZ6XF1v7y8fFjvcenSJfnGN74hgYGBesz6pZde0pM5Yc7zDf863+o/Vps3b9a/nNX2xBNP6NYFMOf5PnnypB7iUue4d/7Ra6+9ptuTwJz/nq9atUrOnj2rhz7VvM8DBw7otjTDRQhzARWe+lL/2PZ/bCiLFi2SCxcuuGI34APnuy/1P2aY+3yr+SR5eXlu2jN42/lWF1epyfjwn3/PDx06NKbPZzhyDNRVTuoS9P6pWfWH6Z+u4fs43/6F8+1fON/+JcFLfn8TwsYgODhY/0/38OHDTo+r+6rCBXPhfPsXzrd/4Xz7l2Av+f3NcOQdqE64BQUFjvvqMnM1vKDmbalu59u3b9cTMHNycmThwoX6kmR1eevWrVvdfe7gBpxv/8L59i+cb//S6Au/v0d1TaUfUZeeqsPUf9u0aZPjNf/2b/+mWw4EBwfb58+fbz927Jih+4zR43z7F863f+F8+5cjPvD7m7UjAQAADMCcMAAAAAMQwgAAAAxACAMAADAAIQwAAMAAhDAAAAADEMIAAAAMQAgDAAAwACEMAADAAIQwAPBSbW1tcvfdd8vJkydd+r6//vWvZd68edLV1eXS9wUwMoQwAB7x6KOPSkBAwICt79pucKbWssvMzJT777/f8Zg6ZgcPHhz0+H7xi18c1iH8whe+oN/n9ddf55ADBiKEAfCYz33uc1JWVua0ZWVlDVoBgsi//uu/ypYtW9xyKB577DH9/gCMQwgD4DEhISEyfvx4p81isciyZcvkiSeekO3bt0tCQoJ89rOf1a+/ePGiPPTQQxIRESHJycmyceNGqaqqcrxfU1OTPPLII/r5lJQU+cEPfqDfa9u2bbetHMXExMi+ffsc92/cuCEbNmyQ2NhYiY+Pl4cffliuXbs2oMr0/e9/X3+Oes3jjz8u7e3tjte0trbKU089Jenp6frPOXnyZPnJT34idrtdDymq7+3rww8/lMDAQPnkk08GPVZnz57VVcLPf/7zIz7Oat8HqzqqY9PrT//0T+X999+Xq1evjvj9AbgGIQyAV3jllVfEarXq+U8vv/yyrpItXbpU5s6dK2fOnJHf/va3cvPmTfnKV77i+J6//uu/liNHjsiBAwfk7bfflqNHj0pubu6IPre5uVmWL1+ug9zx48flnXfe0bdV1a5vRU59jgpM6qvaVxXi+gY5FQZ/9rOfyQ9/+EO5dOmS/OhHP9Lvo8LP1772NfnpT3/q9Ln/8R//IUuWLJFJkyYNul9qX6ZMmSJRUVEyUioI9q02njt3TgfHBx54wPEaNcyZlJQkJ06cGPH7A3AROwB4wKZNm+wWi8UeHh7u2NatW6efW7p0qX3u3LlOr//ud79rX7lypdNjxcXFdvXPVn5+vr2hocEeHBxs/9nPfuZ4vrq62j5u3Dj7t771Lcdj6vUHDhxwep/o6Gj7T3/6U337Jz/5iX3q1Kn2rq4ux/Otra36fQ4dOuTY98zMTHtHR4fjNevXr7dv2LBB31b7oz7n8OHDg/7ZS0tL9Z/9vffe0/fb2trsiYmJ9n379g15vNSfYcWKFQMeV58TGhrqdBzVZrVa7Q8//PCA19+6dct+33332b/whS/YOzs7nZ6bN2+e/e///u+H3AcA7mV1VZgDgDtRFac9e/Y47oeHhztu5+TkOL1WVbRU1UlVk/pTFalbt27pStXChQsdj8fFxcnUqVNHdCLU56hhv8jISKfHW1panIYK77nnHj102ksNS164cEHfzsvL08+pyt1g1GvVsKKqft1777366kT1/uvXrx9yv9SfLzQ0dNDnXnjhBfmTP/kTp8f+5m/+Rjo7Owe8dvPmzdLQ0CCHDx/Ww599jRs3TlcCARiDEAbAY1ToUvOjhnquL9U+Yc2aNfLP//zPg4aaK1euDOsz1XBgdwHpU33ncqnPyc7Olv/6r/8a8L2JiYmO20FBQQPet7fFgwozd6Im2Ks5bSpAqaFJNQctLCxsyNeruXG9Ia8/NZeu/3FUIbKurs7psX/8x3/Uw7hq7lf/kKnU1NQ4/RkBeBYhDIBXmj9/vvzyl7+UCRMm6Lli/akQooLRu+++KxkZGfqx2tpa+fjjj50qUipkqHlRvVR461v9UZ+zf/9+PT9qNPOvlFmzZulAduzYsQEVql7qAgMVNFUl8H/+53/0nK/bUX281GtVgFSBb6TUsXv22Wf1Zw0276y30qc+B4AxmJgPwCupqw9VpebP/uzPHFfxqcn3apK7GnZTw5RqqE1Nzv/973+vrzZUVzH2H3JbsWKF7Nq1S19tqCb4b9261amq9dWvflVXndQVkWqSemFhoQ5T3/rWt6SkpGRY+6qC4qZNm/S+qSsx1XuoiwTeeOMNx2vUcKXavx07dugA2XcYdaihW3X150cffTTiY6eOhbpQQA1RqmHU8vJyvanj2UuFV3UV5532A4D7EMIAeKXU1FR9paQKXKtWrZKZM2fqYBQdHe0IWv/yL/+ir/hT7RZUBWrx4sV6aLEv1bZCXS2oXvfnf/7n8u1vf9tpGFDdVlUpVU370pe+JNOnT9dhSs3JGkllTFWt1q1bJ9/85jdl2rRp8vWvf12HqL5UaFTz2NT734m6mlHtz2DDpHeiwqaq9qnhSDV027up9+v13//93zqA3m5IFIB7BajZ+W7+DADwGNULS7W1ePHFF73uqKtQqfZPVdhU37M7UXPCVLgc7MKBsaisrNRBUYW1wZrlAvAMKmEA4GaqkasKUt/97nd1n7PhBLDeuWbPPfecU+NYV1DDpbt37yaAAQZjYj4AuJka+lNDkapC99prr43oe9VcM1dTbTLUBsBYDEcCAAAYgOFIAAAAAxDCAAAADEAIAwAAMAAhDAAAwACEMAAAAAMQwgAAAAxACAMAADAAIQwAAMAAhDAAAADxvP8f/Tz2h2avbiEAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.loglog(freqs, np.abs(wf_np['plus']), label='plus')\n", "plt.xlim(f_min, f_max)\n", "plt.ylabel(r'$|\\tilde{h}_{+}|$')\n", "plt.xlabel('Frequency (Hz)')\n" ] }, { "cell_type": "markdown", "id": "724fbeda", "metadata": {}, "source": [ "## Response" ] }, { "cell_type": "code", "execution_count": 10, "id": "b026245b", "metadata": {}, "outputs": [], "source": [ "response_model = FDResponseModelMarset2018()\n", "tdi_combination = FDMichelsonConstantEqualArm(generation=\"2.0\", orthogonal=True)\n", "\n", "lisa = InterferometerAntenna(\n", " name=\"lisa\",\n", " tdi_data=tdi_data,\n", " orbit_model=orbit_model,\n", " response_model=response_model,\n", " tdi_combination=tdi_combination,\n", ")\n", "lisa.update_detector_response(\n", " wf.waveform_container,\n", " params[\"ecliptic_longitude\"],\n", " params[\"ecliptic_latitude\"],\n", " params[\"polarization\"],\n", " params[\"coalescence_time\"],\n", ")\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "e4876108", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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CZucdUxkcqV0Kzj+kzRaU4bbqUsA7UGWyxI4TabjFTYv+A2OSUJNhxN+/2I2P/nQ2Nh0rwGff5+JZAKkl2UAgEOgViFJ9KbZ6++Bn72C4eWhF9WK/e3dc6JaO0AMvwjhjGbz809TxngGDVGuIMSeP4L2oCGysK8bJtHzU1Z2PXn7aL0JS4EhsRR3iD/0HvYyV8HBzVwX+R4uOoldIL3WfPVHTUWNYjKHuR/Fm8jb06PaHM77+Ad4euPP8vpg+NAb/WL5bBVqPfbsHnx/+BGW+36GoWstaSUByae9LMSlukgoKT9lDrBFVk2V13+7oblONV2lNqQq6JOCSLb9SC77MQZj1MflZkmyZBGuypUILYs9EAkP5/lRgZgq+JCMmGUbZzPuNj3m4808AEZ2aBENmjYOaBjPXTayX0Jk4cWKT+7z00ktqM5P+WKfqkSUeeughtXVV/AtrB4/+8igyyjIRAw88lZuP4MKtuOXcCXj5p8N47Nt9mNg/Ai//dAil1bWq2P258+7HjK+mY1vONvX1anjx+CWoqTPCK2cH8JnWfM0YMwIzM6/HvsoIrC/4BUFlJxB0wVCpLESovxfiQn2RUVCJPceLMVZfn6VB3kEgdoQlyCqszkWiKci66sIJWPqfkyq4uvr1X7EptQD93HwAbyBbL60i/JAcMgzbjm+B3rMCS8MbDtOtxEDciXToCg7B4A54+B+DVDD51PYBCtMwsqoaHkbgRGUOymqy8ZtuKNIDtDHT64JCEOu+EaF1eTAERKlZkOtPbMSqtFW4JUSbjvvcqkPwrJ2OV71eQM8jHwBVfwd8WtazS4YI3517Fl7dsBMv//4oMt0PAtVAuHcs/nrWn3FhwoUtDqzsRbKY5nqtnsH1TWdPRbJlMhtUVgpQW3XDS2mXUVBd0GBfMmUyzCvbifKG2cgz8ff0V1kzc9AlNWYqCPMK1vZNtzUO1CSo46xOIqLTY5BlB/MGz1OF1I/5JyE4dSlwbC1unXkTPtuaiczCSjz41R58sT1T3ffvFycjNjAccwfPxSs7XlHH3MvOQlV5DPacKMawzPXagyaeiyNT3sG+FzfCx9MdsQGRcCs5DpTVz7RLiQ1RQdbOzGKM9c+rP6Gc/Q2CLE/PIgS5VchHPqISkrHwgmA8vmKfCrDE+GGDgL1AsU7rXVVZGYDwilBkB1fgoFa3D09jGGrc8lGmM/1XUlmI1OJUGNzKYTR4Ir8gAuiWCj+jEcONXtjkpodHwCH0DfXGUXc3+BoMmLLvc0zyzgOMwJ7463BBz0EqyPox/UfcMuQWbE0rVMXsHu4joe/WB16Fh4EtbwLjte7CLbE9Zzs+PH4X3P0L4Gb0ROXJi5BaeDZ+D+qNCxM6/8xAGaIM9w1XW0vIf4kyfGkdiElGTAI1yYrJZbG+uMF1GdaU7Jow15fZGpx5uHmojKcEYoGegfX7culVf2m9L5fm/Y4OdomIHMElgqyZM2eqlKfMbPjss88sxw8cOIBZs2Y1uP7hhx9ixowZNj1+/9D++Pyyz+GeuRVYvxRIXQc/D3csujhZFWN/vCVD3U/6Oo3vq3143jjoRnyf9r360OuBa7AGVSrIGJZvalKaMB67syUwAgbGBMMtQAuYUF4fZA3uEYxvd2Vh1/EiINYqyMrdry4CPLTO8+4epmamwXGqs/uN43rii9S3UKIvxnOTH1Ad6msf9UK2h/bjkJnrjf4V/sg2JbGMRndUFqTAI2w1KnWmWZWVRdh6UiuGr6uMw94T5UCkdm5jvEKxqTYbOv+D8O/mDpQD4yqr4F2YJwkzbDf0wQc15+HeHlrho7S1kOHJJT8dUtevGB4Pr953AV/drgVZY+8A3M/cnkEary78eaFqvSB1Vo+NfQqfbKzB2xuP4bW1R9Xr+/I1w1q8LFFXINmkAK8AtcUhrsVfp+rE9GWWAKxxUGauNTPfZj4ml/K10q7DPKTZGpIJaxyQWQdhTYI0qwBOsm+NZ9ISEXVGLhFk3XHHHWr9I+viOtG/f3/LTIaysjK1LlNrG5ypP/oxwwCvQKCqCDi5C9NSUvDeL2lqaE5q3xdN1YIKIYXVH1/6scpE/HtdBtbs26+CgHnle7Q7RCTj9yNacCSNN2HsXl/gbiKNOMXvmcVAiNVwYe4BdbHtqNaKoM6jCpKj8gzT6p70hipkYjngBUSELwDcwqELjES2TusLdSLfBzOr3aF1vwJ01X1QVR2qflhqdbXawaoibDMHWRWJ2FNaAmOfbFUgP9Y/AS8WZ8MzcB92lWtB48ToMUDlFhxLvgVXrO2D4CPleMo7FLEBsThedhw/Ht2Cnw9qQeX8ib2BoD7A/xYBRWkqM4heE0/7+ksneXOANbHHRDwz4Rn1Qf7QZcDZvUJxz2e/q9f3kpfW4flZQzGpvylodVFSiyX1W5Ymtbast1ZbqQIwCYxlM++bJwCo/WrT7TX1+3KbFP8L8/CmtM6wlRu0wLK5TFmDYM2qvYZ1ACe/exzq7Nwqaios9YrShkYmnJgnn8jfWsmeys9ucmiypU0OUWfkEkGWTP+0Lt5rzn//+1+V6WpLu3/oPICEscChlUDqWrhFD8EjMwbihn9vwsxhsUiOblhbZJ69NiJBm5W47VgejDDN5IsciN1rc+qDrCJzJqs+mDK3NZAhyeqSHJUlUnK1wOarbUUw+uvg5l6HXA8dYkK1NgqZZdrQpThYcBC9gnvBLTAa2dCOG2uCMcRbj+RqPfZ5e6FPwFnYmavNL/TyNWWyjAbsydutdt31PVUn9tL8LMh32DuwFwy5h+Hula+GlUZGjcT5kxYDnv6IrTPA/7dVqnD/98wi1bBVgqxPft8Io3EoJvTrjkRz+4XBVwFb/g1se+e0QVZGaQbuWH2HFmDFTcTzE5+3vLZCJh4MiA7GbR9sxe7jJbjxrc24bWJvLLygn10amLpcA0VPP7VF+WutP2whi6ZLoGUdmFmCNVP2rHHgZh3MyXssKxKYjx3HcZvPQX42GmTKvAMR5Nk0Y6YyhJ5Wm+m6fO/MpNlOJnRI0JRbkatm+splTmWOdr0it8FEEOtWMqcjs4SvTroatw65lTNsqVNyeJC1du1atbDk1q1bkZWVhS+//LLJcN3SpUvVfeT2gQMHYvHixTjnnHPseh7S7v+GG25o+wMlnmMKstYBY/+CpKggbLrv/NN+iWSkpOGmb3kG3LyrAA9f1AUnYPeJQ5ZhQdR0bzJcGOTjiV7h/jiaV46Kwuz6IKsoHQczTmJXZgkC+gQB7oXI0ekQE9bbEpSYHSg8gIsSL4IhIAInq7S+T4aaEPQJLsf9eQX4adjlCA+9AjsOawuZ6ry080NtpaUlQu9u8dhTApQXnFBBVpFbN1QcuxUB/mX49W9/hLdHfSNOT527GjKVjvFrDuZicPRg1btqV94uaQSB2WOtltQZfoMWZO37GqgoAPyaLggqH7p//fmv6gM3pXsK/nnuPxsEWGbxYX74bP5YPP7tPrz7axqW/nwEW0zDh5FBbH/QUaT/l7mQvjXk/W4QhFWfIaNmFaTJVmesU9kQ84d5a8mQZePgS45JgGa5zRykeQU0uL9kWKXlhrlVSFfKqkkmU14/CYIk26QuayssQ8uSdZKtwX5VsfpbITNoZZi5peS1kZYqId4h6vWS32vZ5DFkqFv61Ml7KOutbju5Da9e8Gp9CxyiTsLhQZYsJjlkyBDceOONuOKKK5rc/vHHH2PBggUq0Bo3bhxeffVVTJ06VbXYj4+PV/cZMWIEqqu1oS5r33//PWJiYs54DtJYdMOGDfjoI21x5javYyjSNmiLMbegwNfHU6fqriKP/6Yd6N4fR/MrUaGvU2tM9e4eAOQ0HS40B2gSZBkaHd+6VR5Lh0DPMJShECdlvShTJiujpD7I2l+g1W/l+4eittpNrRh+58QR6LH/JcTr9Rjc72qkhUTDWKf98apFmWp2WlFWhXLTf5sp0T2wJy0XhlKtW/yJ2kAY6wLQMzC2QYBlJtkqc5D1QIq2xILBO13NlpzQz2oYL2YoEDlYDb1i71fAyBubPNayHctUTZe0LJAO+6frFyWv86MzBuGsxFAs+mKXKvy/+MV1WHz1UJzTt/M3tSPtg9fb17vFEwMaBwgqIGgmY9YkSKvWhjZlUoAcU5c1paoezXrCwEloP/NtoYIunRZ0yc+v2kzXVSDmofVskyFeyQzLpeW69ebmoTJskjGSbJ8w78v3br6UQNM8/CaX0txYXZo3g14t4C6XVbVVlkCqskYb4rUlUGpuqFdWQ+ju2131pZNLmaAj+6ohr6/WoFf2zzSDVb6XnzJ+wv0b7seO3B14+JeH8fS5T7f63IicMsiSgEm2U3n++ecxd+5czJs3T12XLNbKlSuxbNkyPPnkk+qYZMHa4quvvsKFF14IH59Tf0BLEGcdyElg1iwJCqTOReqyTuwA4ka16BxGJnSD/wlT8BM5ELuOa/VYg2Kl+7cb0EzhuxjcIwTLd5yAp/m/ct9QoLIAJw5vV+sdxgdGY2/pYeRIUXszmSwZLhTZPloQFe7mhQXnJwFbTc8TEIn4UD+M6xUPqV6rrCtDrW8I8k1ZLPlDODQmCh8iF95VWvF9uj7Akj1qzoT+WkCzI6MIGdmxgNEd7h6luG5ssPa9NvgGr9CCrD1fNAmyZFmct/do/VUeHPtgi4evpg2JUUOtt72/DfuySnDDm5vwl8l9ced5fZs+f2ci/WYkcJfgtrYaqDFdmq/LckCqJ43RdImG+7LuotSvSG8sCf4l4yeXjfclUHXC2X/ygS0ZJdmi1YJRtpEPdQk8JItibi5r3rcOxiy3W99WU4pyfbm6LoGLPI6ZuT6ttZMIHEUCPckcyd8AydBJxkk2yVI23pdASgJjCaLs1ZtN3s/z4s9Tjz935VysSF2B6X2mY2zMWLs8PpFTBFmno9frVQB17733Njgu7fU3btxo16HCP/3pT6e9jwR0Dz/88JkfTGbByTIx+7/RCrZbGGRJXZbhN1PwEzFAK2a3qruCvynIsmrhYM5kucOAAINpBmHPcWp4za/oENzdRmJgaCj2lkILskK0oTjrruNSEyEp92xPrXg02ugO1OpVoKZI6wg3N7x1wwQMe1c7VOIThFzTSuryhzNJ1ZoZEVinfUgcLpeaKj0SQpsPsmTNw6mDolQ2644P9sAvMRI6nywkxuY3vfPAmcAPDwHH1gOSKQuMtHzgPbnpSfVf+QUJF6g/traQuq8vbxuLh7/eiw83peOlHw9hy7ECldWKCOzg4cOqYtXhH9KiozhTuyzNVm0ymmzScLYjyAehDL14+po28/6pjvkB3gGqCa6a/CH7Xqbr6pjsB2j360LDY9bk98CcSZNgoS3Mi5BLcCVBlzljVFVXVX+srv64ZJ3UrE7rzVi/b75dslWSLZJzdYe7JRMkGS7LcTd3tdi5FIyrhc912n5zx8wZNXMwJTVQvp5ahq25YXlHGBE5QtVlybqpi7cuxpjoMV1qCLazk4aiQ4cOVQkOmRwmI0uytcTPP/+saqILCwsREmLbJBtn0amDrLy8PNWCPzJS+2A1k+vm9YtaQrJU27ZtU0OTPXr0UHVfo0ZpwU9xcTE2bdqkVgg/nUWLFql1k15//XW1yXkdPny4+TsnTtCCrNS1wDl/bXGQVeqmBVkV3fph987iBjMI4W8azpIMmQRBHlpQNDAmCKFuZXA3DQ8gQQuy+rgdx8iEUMSbgqEc3yDL15gzWfJHV/4oS0Yo21T/HVVbW19cLx+0vlpRvvz3ae4EX+QTgDxTwbgEWf0iA1UfLm81hxHYWypBih49w049ieCFWUNRVLEZvxzNVy0gJMjaU7AbFyZOaXhHWTg6dgRwfKs2ZDhaC4Y3nNigWkjIB4OsmdgaMnz45OWDMToxFH//cpfq0H/JS+vx4tVDMba37cNRZ1RXC+TsBY5vAU7uBfIOALkHgbKW/yw3IBkny+atZaoUN1MgY/qgMX/gGOqk4E7LhsnWeN+aDItVl2ibPcks3AZBmDkws7qU5rOycLmswyn7Ur8l19W+6TYJ7rrwB6l5iE+yatR2t6Tcgs8OfqZKB+Tvgky2IfvbvHlz2yaHNSId5B999FH89NNP6jNdynv++Mc/4r777oOXl/Z5lZ+fj+uuuw6///672o+IiMD06dPxxBNPICioZY2qHalTB1lmjf8rkSyGLf+pyPDiqcgizydPnrmuwtvbW21//etf1dZkgejm6rLSf9WGcZqpS2oswteIMHftPHZUS2PSzPqZhUKCHTcdYKwDKvKAIK3WzM/LA8PDaiGlUnqvEHhFDlTH+7odx5SBkYjQa0OcOV5adkZqLcwLGw+NGKqad8oi0idNwxdR1ZX1H/qSPbPqTyVpeQmyir181WxFc5Dl66XDkBDJfgG1ngE4XFh72uFCc4DzxuyReOq7/Sj1PAs/5m3C3ry9zd954OWmIGu5CrLk/X9pm7YswzVJ17Rqlpu1GcNiVcbw9ve34cDJUvzxjd9w1/n9cPukPnBvy/ChBDUntgOHf9Aycce3ATX1SxQ14BcGBMUCwT20y6Bo7Zi87+ZNhqElKJGJB/IzZc8gQ4YUJbBSw5FV2lCk2iqaXlpuNx3Tl2v71WXakk76Um1fb7pu3ldDlwa1XJTa2kL+ATAHXNbBl3Vw1uy+1X1M/3RQJyG/LxX5QHme9jdOXeZrm/x8yT8p8s+A/KzKe+gfDsSPAaKHqKWkpvWepgKtTw58wiCrndh7Qeb9+/fDYDCoWmtZEHr37t24+eabVUJEFpQW7u7uKqh67LHH1PNLcuP2229Xi0p/8MEH6Ow6dZAVHh6uVtpunLXKyclpkt3qKK+88oraJJN1St37awGK1E9lbtGG8M4k7yB0MKDAGID3dlehsqYO/l46JIZr9U0q2JFslgRAMmRoCrLEsHAtyCrVhcAzoLea4RfvloMp/YKQs1nLROTotA9k6ewtxbCS7pfaBQmypPi9ulb78I+qKtOGrIRpaM46yJIsWKGnN/KthgvFkG7VKsgq8wzD8UKtID7hNEGW8Pf2UIXou/OAH79dgkNF2mzKJgZcBnx/H5D+i5pl+FvxQfUfq3wP0jnfHvpEBGD57ePwwFe78enWTDy36qDqb/bUFSmItaV5qXwQpK4Bdn0KHFxZP+xqJlmcHiOAqMFA92SgexIQ3rfFSwe1GwnYzDVZXu0wQ8tgMAViEoSZgzHrIMx0qa6XAFWmLJoMpap982WJFqhJQCivbePX1xaSAWw2UDPtqy3QdN007OndaN/Lv0tn1DqEBEUSKJVmacPgzV2WZGl/L+W9tVXPc4Dpr+DyPperIOvnzJ/VzEfONLS/xsOFkuyQkZ1vv/1WJTNiY2Px3HPP4bLLLmv26ysrK3HllVeqjNSKFStw0UUXqc2sV69eqim41Fybg6xu3brh1ltvbbAw9G233aY6DnQFnTrIknShzBxctWqV6tpuJtclsnUEiaBlO20mS/7oSisHWehZhgxbEmTJ8JEUohvjsHKvVnclMw4bFGIHmIIsq15ZYkCwloXKNQRiX4YBE4wBaggx3nAcbqXaY+UY9CoDlF6i1WP1COyBpNAkSxsHX51P/XBh9m5LPZY187T7Yp2HpSZLZgeJpAAtsMqqDUStwQgvD3dEtrC2SfXpgptloeQm9S4h8fWzDA+uxPv5Wj3e9N7T1X+w9iIZuX9eNQSje4XhH8t3Yd2hPFzw/BrcPaU/Zo/tefqiePmQ2Pw6sO3dhpMT5INYenz1OQ+IGw2E97Ma1nMh8k+CGho0/dPQlg9sCc6aBGGyX2S1b7qtuYBNAjohGTnZGk0msY1bo8ArsFFg1vg2CcwCTl/r1pl+PtRkC72WrZTXXV02sy+vqwS80mpFagdVBkqu52vXJQPfIm5a1layVH7hgH+YltGV18w8YUPOSd5L+WfwyE/AsXXAv6dg0NzvERcYp/4R/DnjZ1zc62J0avJ9yD8ejmDH2kipVX7mmWdU0PPyyy+rob20tDSEhjZsuSOlOZdeeqmaYPbjjz+ecthR7tf4a62dOHECX3zxBSZMmICuwOFBlnRat65tSk1NVV3Y5UWWFg1SB3X99ddj5MiRGDNmDF577TWkp6dj/vz56NRkyNAcZE1adOb752id3vcb4lBnMNb3x7JmLn5vFGT19tMCnMxqf6zck4MYYw+MdtuvOr93L8gAAoAqY62amm6ux4oLiLMEWalFqareSkTV1gFZO7UHNs9otMpkiSKdO/IaZbISfbVM2NFK7RdHZiS2dKhN/uOUoE/O7UjRkeaLivtPVUFWxr4vsUavtZ24NvlatIcrR/TA0LgQLPrid2w+VohHvtmLr3aewGPTBzV9T6S7/rrngN1f1Nc1yQxPKdgfdLkWWDnhTD2HkQ8Gc8CC2NYPSzUIvhoFZOZ9lVUrbX5f7qcCB6N9hj+tyQzQxgGYqrnz0GaBqlminqbrVps6JiUFWrNgLStkGqI1zzw176taPJmZarXVNd7Xa0FoiwOkM5BMfGAUEBh96ksJrKSpc0sVpgEfzFINmN0+nYOLRkzH67v/jdUZqzt/kCUB1hNnbjHULv5+QsvC2sGcOXNwzTXXqH2pk5JAS+qcrTNUJ0+eVEvY9e7dWy1dZ663auzIkSPq6yUb1pg8h3QCkGzYtGnT8MYbb6ArcHiQtWXLFjX7wEyCKjF79my8/fbb6o2R1OIjjzyimpEOGjRIpRklZdhphwvNKWyRuRnQV5x5CMaUyTqm6ynNqBoWvZuZi98bzTCM0mn/mWfVBuCHfSdxjnssRrvvV0XWPoXHEOQbhhKdTi1hYg6y4oPiEekXqTpbS/Blnj4eJcNdliCr6XChKHJDkyArRqcNS+YatXPueYahwsb6hPRR5yZDhmdFn9V8kLX2GXyZtxXGID+MixmHxOBEm57DpvOJCMDHfxqDDzen46kV+7EzowjTlqzH5cNjcc+F/RHtVgSsfhzY8X79EEf8WODs+UC/qaz36cwkEDHXubUpC1HZTCB2ioDMcsxUs1bTqK7NusO5ZI5kk2CvM5HhVflglk0K9s375gkMqoYwVGsarDbr6+Ht8zvRLQG47hPgX+OBE9twbtL5eB3AxhMb1eoC0vyW2ldKSoplX7JTgYGBqqTH2vnnn68mm8lMfikBOlWGSgKzq666ytKyydoLL7yABx98UA0n/v3vf1exgvTP7Ow8OsP0UBnGOh0Zf5WtM2jRcKEI7QUE9QBKMoGMX4Hek0//wDnaUjjukcmAqcOCpX2D9XBhM5ksD1OPrHwEqaG6k36mQE1S6bVViKgzqCBLlq6wZLIC49R4umSzNmVvUsc84YbQOkN94fupgixjbZMgK9hQpC5zjdp94kP9bQ6y5L/PQ4WnqMuKHgpjYDRW+GrZsRl9bFvEuzUkE3fd6AScnxyJJ1fsU/3IvtyWgcDd7+Lvnh/Cu85UxN7/EmDCPdraleQ6GTX5x0m2RrWLra5ZMw9fNjvZoLp+YoJ5luiprssMTrW51e+rGadWxyz90LxMs1O9AJ13/b7lNu/6oMqWDFNHknKCiYuA/92LQZvfQ2BMN/WPo6wiIZN7Oi3JUEpGyVHPba+H8myYqZfPFSlmt3bJJZeoGfzSRHzwYK0BdeMAS5It5tGq5kRFRaktKSkJYWFhatWX+++/H9HRtve860id9Lem82pxJkvVZZ0L7PxAGzI8XZAlNQul2i9beK+hQHoWArw9kNi4BcIpemWZg658o1Y8HdozBZARWFNGKtLdC4dhxMmKk5YgS4bnRL9u/SxBVqS7j+r4bnGKIKvAUI0CUwsH6dQs3E11LbkIblHRe2N9u/VVl4eLTtEWw90dO3qOxPGynfBz02FCXMeNx8uyO4uvHoabh/nB+Pk8DNL/DtQBO419sH3A3zB16nQuzUNtr1kzB204dT0KncLIm9SwvUfpCYz1H4KV+j2qzUunDrJUoO4aLTyeeuopBAQEqPWBpXfWgAEDLLcdP35cBVhSf/3WW2+p2YRnYk7MNLfSS2fD1XFtJFksicalX8gZSfG7kCCrBUOFCI7H+EG9IKVMsvRMk5qmU3R9R3l+gyBrQErD4bYITy3wya7IRmapNnMwPlBbkshclyWivBrNcGtc+C4zr+TbqcyBQZoaGo1qORvrwC/PNFx4uvYNp8pkmYOsU2U2v/XVhhvO12ud5jvUsQ0Y+N9LVYBV6+GH1/xuwczqh/DQ9gCMe+on1f7hlyP5Z8zKElE7kIybBFoAxhRqmfjN2S34G00d5tlnn1VF8ZMnT1atG8wZLBnNiouLU7fn5uaqbgLWHQWkPEiCL2nvIH215LrMNpRl9mS2Y2fHTFZ7MtdlSa8kqa8wBSlNSINKEZGMlB4h+PnuSQgLaKZ+wVyTJf1jms1kBSPU3wvDBvQHVgRbajoiJNtUXoTdebvVch6yxpm5t1T/0P6Wh4nyaVRwforC94xy7RdAhhZ1qh5JZwmyzMOFp2tE2pyeQT1Vc0ZZgiS7PBvRAQ1TwNJ24oeSI2r/kvwsbWaR9JTqCFveAr79q1YAHDEAHrPew82hvdD3YC6WrT6iWj18uytLbVLLNXNYLKalxNgcaBJRGwy5BljzNIZn7gF6RGFX7i61FqN0rqfO4YUXXlCjQBJoSUZLVm6RiW+ySaNwa+Z/WH19fVWbiLvuuktlriQgu/zyy5usBNNZMchqr+FCERKn1WYVHAXSfgH618+2aDbIitRSqKf8cD5F4bs5yLrjsrMRFDcYntIoVHowSS2YBFlBcUD5IWw/KesZArGBsZb1w3oH91b7siRHlH/MaTNZ5qyVAdp4e7i8BhLISXGr6RwkkyUJOJt6S8m4vs5TBVqSyZLi98ZB1r78fcivLoC/0Q2jKqu0erPhN6DdrX0W+OlRbX/wH4Bpi1WKX3KMk/pHqG3viRK891salm8/jsM5ZfjnygNqkxmK0hB2Yr8IJEcHcqkPovYUmqhWh+h5fCtCdb4oqKvEnvw9GBbBWsm2kGDITDJJ1prL3BcVafW5p6q5fumll9Qm+vXrp2Ynno4MJdpzGb2OxuHC9hwutM5mnW7I0DxcGFE/Tt0sc2ZJuiFLsauQQlfpDwRgXEpyfYsBaYhqEtlNG4qTRWqt67HMwY30qRJREoyZqX4+fs32yTJTQVal9CYqsrQv8A6OxOSkCNUny1Z9Q7S6LOlA39jaTO31G+vXA6rMUoKs9rbu+foA69x7gMtfa7aGYkBMEJ6YORi//v08PH3FYIzvE64CTVkA+5n/HcDFL63D6Cd+xD2f7sSnWzJwNLeMw4pE7WHgTPUP0PA67e+PLLFD5EjMZLW3XhOAbf8B9nwBTP5H01YOEuWbZhaeMciSadDyJ0SG6KTRn8w2lGZ/QmYMWU9Jl07i5t3u2lI7ZuZ6LDNZXPXD/R9ifE9ZN/DhZocKrYcLLY+rgqzC+v5QPiH48W9TVIDRGjJ0+d2x79Raio2tO75OXZ4TNxHYu0HVSKnXrr26bW/+N/Cj6bU4/2Fg/JkXRA3y8cSsUfFqyymtwsrd2fj5QK5aEzGntFp1kpdNyLDu8PgQ1XBWslzJ0UGI69by3mJE1Iy+U4Dv/4Fhhdn4oVugWtGCyJEYZLU3md4fHAcUZwCbXgXG39Xw9pLjWiNDGb6TbuCnI1OopeeMWt8rVwuyzO0cpCeN9ayMCFOQpfNGRPeGU2alfYO1q/pdpTY1jVzOQ6aCNxoqFD4ePvDR+aCqrspquLCovmtxQOTpu6KfgbkIX5b5sSZd4KWeTIwfeC3ww7Na8X/+YW1JGnuTLNmKu+szWC0IsBqLCPTB9WN6qq26tg6bUwux/nAetqYVYGdmMQrK9fhhX47azPy8dGqx7cRwfzU7U9v8VX1bNz9PDjcSnYn8DQ3qgREVOYApyLJ1rVsie2KQ1Z41WcLTB5h0H7B8PrD+BWD4bC1QajxUGNanZc36pC5LBVny4TygvgjeXK9l1uMsbSmauFEI9Quz1F01F2RZSJAmwZUEfs0EWeYhw6oKU5BVa8pkqQR989kvW5iL8NNK0hqsPSZTsY0wIjk0Gd2l91iPUUDaem3RZXsHWVI/9+mNWrZw6HXae9dG3h46jO8brjahrzVg94libE8vwr6sEuzPLsHBk2Wo0NepIUbZGpOWHlHBPogK8lGX0cE+qm2E+bJ7oDe6+Xm1apiWyGlIMNXnPPTb9h94wV0taJ9emo6EIMc0ryZikNVezUitpfwB2PiSVuAugdYUU51Pg5mFZxgqNJNgKnc/UGbKYJmDLMlkWZMOzLeuV7vupjUGs8qzmh0ubECWtzhNkCVrBUq/rQY1WeZu1W0MsqSxqZxnbmWuqssy97gx12Od08NU3yZrQUqQlbYBGHkj7Ebq2yTAkuxc7AjgkufbZThSAqHh8d3UZlZbZ8Cx/HIcyC5DWkE50vIqtMv8CmQVV6GsulYV1ct2OkE+HggP8FbDkTJDNSzAG2Gyr65rx4N9PRHiJ5uXWoSc/+WTU+k9CZ7b/oOkOjf8roPKgjPIIkdhkNURZGmH8x8CPvgDsOk1YPR8IDi22ZmFZ9S4V5Z5uLBxJquRCL8IFWTJQswyu/CUZP0w6+dpxLr43VKTlW/q0h6RjLaSbFbu8VxVlyVBlmTfNh7XZpacE2sKshLGapf2rsuSmYRZO1RtGf7wrpaF7CAeOnf0iQhUW2NVNXU4XlSJk8VVKuDKLqlCtmW/EtnF1Sis0Ks1L0uqatV2NK+8Zc/r7qaCrmAJulTw5aUu5boKxkzHrG+X4xLMyTkTdTrxY9TFoLIi/B4cqIKsS3pd4uizIhfFIKsjCzJlbbv0jcDPTwLTl9g2s/BUi0TLTEN1XBuKOl2QJSL9I+Ety2ecirRFkOxY8mXN3mxd/B4uS/BI1kf6gInotk+VliHB9cfXY1+BNhlgR84ONStSnndw+OD6oVBZKFe65Bce06Zut5V8D2v/qe1f8lx9ENwJ+Hjq0Lt7gNpOxWAworiyBvnl1cgv0yO/XI/8smrTpVyvRl6ZHkUVstWgqLJGDVvKMkzqPuV6m89LsmAq4FJBl+nS10Pt1x/3aHAfCdbkmAx/MoNG7UKy8d0SMUgvGXctyCJyFAZZHUWyLRc8DPz7Am1R4TF/1uqw8g7YFmSZ1y+0DBe2PJN12noss34XatspWAdZYZLJKkrXCtBFTNuXsDDXZZlnGJpnFY6LHVe/2KvM0IwdDmT8pg0ZtjXIkoL/b+7Smo0OmAEMugJdjcxK7ObvpbY+LRi1lWLgqhqDCsyKKk2BV0UNik372vEaFKuArP6YXC+t1mr7yvV1ajtRXGX7+brBKjizCsxM1xsEZs0Eb94e7gzS6NTix2Dg3k8sE2kkI27uDUjUkfhT196F79bizgKSLgX2f6P1XzrvAaBOry2+GtLCwkxL13fzcGF+izJZvUN6N1lGpzXMw4X+7l7wk6G6Y1oQpGZQnuEcWsJ8ftKQtKq2Cj+k/dBwqNAsYZwWZMmQ4bA/tu1Jf/9Iy2R5BQJTn2m/thCdiGSRfL10apNCelvU1BlQKsOSlTUoqdKCr5LKWqt98/Fm7iMZtDoDDEZYArvW8NK5tyhzZgnYTJk22Q/08YAnhzq7DBkGlwxsoelnRQJs2aTG8JSzmePPRs+dHyDA6IayuiocKTrSYHULoo7CIKsjCt+tSWB1YIUWaMnq8eZ2Cy1YFLPZRaItLRxOH+DM6D0DkX6RGB4xHG1hzmR1N69zaFq6xx5ZLHOmLcI3AjmVOViweoGaGRToFYiJ0h/LmhS/r39eK4Bvi+pS4AdTP6xz7wYCmy/4p3oSoEgBvWytITVmpw/QalXGTI41vo/cLgGaBGp5ZTIE2roFYqVdRpPMmWXIUwvWJBgL9PFUQ5uBja7L13O4s3Uq9XUoqNCjoEyvXZZXo6C8xnSpb7JJRrW5JUEl0BrZsxv+dG5vtdZrA/Fj1ISfgdXV+M3HSw0ZMshqHenaPnToUCxevFitFbhgwQK1tbRb/KRJk1BYWIiQkIZ9Fl0Fg6yOJp3YpTXA9neBX5faNlRoPVxYbttwoXR2P7fHuWgrmf0nIhuvcxhtnyDL3c0dtw69FQ//8rBq3SCu7n81/CXbZy1uNOCm04YrizK0JYxa45dXgLJsVcOBs2+1w3dALakxky0iyPaJBVJ7Vq6vbRiIyTCmKTir36/PnFnfR4Y3hbTLkE0mD7SGJFC04EvLjDUOyAJ8tAyb5brVfVUG0VOnAjV5Hbra0Kd5qLlCX2t5HeU9MQ8tF5ZrQ83m+r9C06U5aKqsacUogGnmrLxOUktYVVuH6loDNhzOV9stE3rh3ouS6l9Hae3iE4yBVZUqyNqVtwtX9Ot6ZQCdjax04u9v27q0Z3LZZZdhx44dyMnJQbdu3XD++efj6aefRkxM/TJvd955J9avX68WiU5OTlb37yoYZDnCxEXArk+BWtMf+MiGHdlbXPgu/96ZO76fIciylwlxEzB30Fyc5x8PbF9Vf0OM/dYHm9FnBt7d+y6OFh9VRfrXJV/X9E7egVr27PhWrS4r5OrWZbF+Xabtn3c/4HGaCQHUaWrPtGDF0+b1Mc2tMmSo0zoQq9+vD9BkqLOsqka1zpD7a5t2XTJpsplncrb5e3KDCrp8TUGXBF9y3bLvpVPZQw93d3jq3OAhm2XfHZ7u2qV23E39WZDEj1waTCkgCYysj8uQr2QDJWCRYEUu1THZb3QpmUcJoipNAZUESc1llmwd7g011RCGWV/6eSE0wAuhculfv0nLEeshXgm2ZQbte7+m4e2Nx/DqmqPoHuCNeedoS4SpIf+YYRiY/Zu6ap5IQ23Tvbv9P2cmTZqEv//974iOjsbx48dx991348orr2ywXqH8/N5000347bff8Pvvv6MrYZDlCDJzbfQtwIYXbW99YA6mpJZLAq3qEtPxRpmlduLr4YsFIxZoGSRrdgyypEB10ehFuO2H2zBn4ByE+Yadeqq2BFlSmzWkFUHWlje12ZFhfbWCd3J6EoyYJwi0hvyxl0BDC75qLAHYqa43F6RVmgKVmjotUpGAzTyJoKvx8XSHn5eHCgolEJIgSWaQdjPv+2qX3fy1yzB/bxVEtbU/mwTbfSIC8NBlA9Gjmy8e+3Yfnll5QK2b2ss8CzdmOJLTtXKCQ4WHUGOogafMSqZWazxcKO/h66+/jm+//RYrV65EbGwsnnvuOZWdak5lZaUKoPLz87FixQqEhobirrvqV0FJSEjAvffeixkzZqCmpgaentr7ZV5QOjc3l0EWtZAsr7P9faC2GohKafnLJr2bZPFmCa7MPbZk1oz0dupI1s8ntWXWXezt4Ozos7Hpuk3QyZDgqciQ4S9LgIxNtj9BTSWwcUn9e2GeuUh0GvKh4u/toTbptN8WkjmSLJE56Ko071tdV5kjvQRkkmkyqkyctN2oNRhQW2fUjhnqb5MicVmAQfrhSYbMzbSvLlVMo+1LJkma4povPc3XpahcsmMebvDS6dR1c5ZNsmrmzJo5sGrLMlr2Mnd8ItYczMW6Q3l48cdDePFq0z98scMRW1uLACNQZqhBanEq+nU7w9JlHUgC9kpzI+cOJv8s22uI+uGHH8YzzzyDf/7zn3j55Zdx3XXXIS0tTQVQ1oqLi3HppZfCx8cHP/74Y7PDjgUFBXj//fcxduxYS4DV1TGT5SiymPP8ddqQoa0BimSzJMgy99iSoveOrumQ4ToJgKTtgZ3qsRo745Rrma0pJNisKgF8TMX4LbHjA22GZnC81pGfqINJYCObDH1S60mw8H8XJWHdofX4784TWHhBP7Xmp2SyZICxX3U1tvl4q1YOnSnIkgBr9AejHfLcv137m2XZsraaM2cOrrnmGrX/xBNPqEBr06ZNuOiiiyz3OXnyJGbNmoXevXvjww8/hJdXw0zy//3f/2HJkiWoqKjA2WefjW+++QbOgi2bbSTtGwYMGIBRo0a1/dUPigFCTTUEtjB3YzdnsjqoHqsBCep8Q+w+VGhz00EJkmSdQRk2bCkpKJGhQjHmNkDHDzmirmxQbDDO7ddd/Wp/siWj/u9rQCSSq7VGu/vyWZfVHlJS6kdiJDsVGBioititnX/++ejVqxc++eSTJgGWuOeee7B9+3Z8//330Ol0uOGGG1Smzxkwk9XRLRzswRxU5Zj+aNihP1WryBI8UnjfYyQcRrJZxelA5ma1ZlmLSEB2cjfg4dO6Wi4i6nSuHhWHtQdz8emWTCy8oL82lBkzHEkntLVPJZPVmciQnWSUHPXc9tJ4WE8yiwZp8Gzlkksuweeff469e/di8GDTyh1WwsPD1davXz81ezAuLg6//vorxozRlkjqyhhkdUWdJci6dDFwYhvQs1Gj0I4OsnZ/phW/t9TWt7TLgTO1YVsi6vLOT45UhfY5pdXYmlaIsxJDVV1W8rEfLKtISHaks7TLkPOw15BdZ/fUU08hICAA5513nuqdJaNBp2LOYFVXt64HXmfDIKsrMg8X1pQ7brhQxI3SNkcy12VJJkv+ezpTU1dpnrr7C21/xJz2Pz8i6hBSpH9eUgS+2H4c3+/J1oKsmOHopa+BpxFqDdTMsswzLy1G7eLZZ59VK6VMnjxZBVpJSUmqdku28ePHqx5ZR48exQMPPKBqt6yzWIcPH0ZZWRmys7PVDEVznywJ1pobfuxMWJPVFTUOqvw6pn1DpxQ5CJDUtwRPeQfPfH/pT1ZTAXRP0mYnEpHTuGCAtmLDqn0ntYxIdApkMKuPXt9gTVRyjBdeeAF/+MMfVKB18OBB+Pr64osvvlAZrv79+6teWIMGDcKaNWvg7V3ft3DevHkYNmwYXn31VfV1si/biRMnOv1byUxWV85kmTkqk9UZSNF67AhteZ3MTdoSRafz+6fa5bDrXWKNQiJXIsXv0pYiLb8CqXnl6NU9AgiIQpJej33eXqop6fkJ5zv6NLsUyTqZHTt2rMFtzRWnFxUVNViSx9joPtLzytz3Svz00082nUNX4xKZrJkzZ6pUpDRBay6yHjhwoEo73nHHHV1jRoO567vlugsHWcI8ZHmmuixZfifjV9UrCIMu75BTI6KOI/3LhsVrs55/OWpaDSNqMJJMMww7W/E7OT+XCLIkeHrnnXeaHJfusdKbY+vWrdi1a5e6lBkNnV7jQndHFb53FuZhv4zNp7/fni+1y4Rx2vRuInI6Y3trfw9/OWIKsqJTkGwaLtyfzyCLOpZLBFmyNpL07mhObW0tqqqqVAt/2SIiGmWJusRwoYsHWT1Mmay8A0BFwanvt8dU8M4sFpHTGtM7zBJkqZGJqBT019fAzQjkVOYgv9IUfBG5QpC1du1aTJs2Ta24LVNaly9f3uQ+S5cuRWJiomrHP2LECKxbt85ui13KYpTx8fHq+aVhmsxq6PS8ArRibzNXHy6UINPc1PVUTUnzjwAntmtd6gdM79DTI6KOMzQuRK2pmF+ux8GTZSqT5Wc0IqFWW8ybxe/kUkFWeXk5hgwZoobtmvPxxx+rxSjvu+8+1RH2nHPOwdSpU5GeXr9AsQReMiOh8XammQeFhYWqfb8U88nq37LqtwR9nZ4UbAeYAiudtxZ0uTrLkOFvp89i9ZrAzB+Rk7dyGB6v9b+TflkI6Ql4BaK/qe+SFL8TuczsQgmYZDuV559/HnPnzlVTOMXixYvVat/Lli3Dk08+qY5JLVVr/PDDD+jTp49lIUvpSis1Weeee26T+0pjNOvmaNLx3aEke1WUrl1ylpw2ZLjzw1MvFm3ujTWQBe9Ezk6CrI1H8rE9vRDXjo7Xit+Ld2NlJyh+7xKTq5yAoVHXeZcNsk5Hr9erAOree+9tcHzKlCkq69RW0rpfHkdqsmRpAJkm+qc//anZ+0pAJ6uNd7oZhv4u3COruUyWDBca6gB3Xf1tspC2rPOo8wKSpznsFImoY5hnGG7PKKovfs/dpnYdFWTJZ4yUxMiEKylV6Syd552N0WhUsYO8zu7u7g5vVtqpg6y8vDzVITYyUmswZybXpfNrS1144YXYtm2bGprs0aMHvvzyS7XAs6z2ffHFF6umZvJmSEO0yy67rNnHWLRoERYuXNggkyVBmsOYhwtdvR7LLCJZDQlAX6oFVFFW62PJsjuizwX1i1oTkVPXZYnDOWUorqxBsBS/b9ZmGKaVpKGipqLDl7SRhY/l8yczM7NJvymyPz8/P1VvLZ/tjtSpgyyzxhG/retPyfDiqTz++ONqOxPpPivbK6+8ojYJ/hwqwBR4MsjSSOZK+mUd+Qk4uqY+yJLU/O7PtX3OKiRyCWEB3kgI81NNSXdkFGFCdArCDQZ0rzMgV+eOg4UHMTRiaIefl6zf17dvXzWTndo3oPXw8OgU2cJOHWTJqtzyYjXOWuXk5DTJbnWU22+/XW2SyQoODobDyOLGxzYAQ69z3Dl0NpKpkiDr4P+AsX/Wjh3fBhQeA+S/1v6nrv0jIuery5IgS+qyJkzsD7h7Iqm6Grl+vmrI0BFBlpDPNNnINTh8duHpyFiqzBxctWpVg+NyfezYsQ45J8liSXd4GW50qMiBwE3fAYnnOPY8OpP+F2mX6b8AlUUNhwolwPLyd9y5EZFj6rLSiwAPL1VSIMvroBMUv5PraFWQ9e6772LcuHGqt1RaWppl1t9XX31l82PJytqyorZ5Ve3U1FS1b27RIHVQb7zxBt58803s27cPd911l7pt/vz5cATJYu3duxebN5+huzh1POmVFd4PMNRqGa2aKquhwqZLKhGR80rpoQVZu48XWxaL5vI61OmDLGmdIIGPFIzLQpDm2qSQkBAVaNlqy5YtlhW1hTy27D/wwAPq+qxZs9TjPvLIIxg6dKjqY7VixQokJCTApTNZ1DzzkOAvrwCb3wDKTgJBsUCf8/iKEbmQpKhA6NzdVFPS7JIqIGoIkvRaLdShwkOoMbAuitqfm9HGph0SYDzxxBOYMWOGWqpm586d6NWrF3bv3q1W3JYZga7AXJNVXFyMoKAgR58OmZVkAUtGAvqy+tdk2kvAiNl8jYhczEWL12J/dileu34EpgSkwvDWRRibEIdydzd8cdkX6Nutr6NPkZz889vmTJYM55mzTtZk5p20SCByqKBoYOKi+uuxIzk5gMhFDYrVJiftPlECRA2CO9zQX681lWZdFnUEm4MsWUPQXD9l7bvvvlNZLmfH4cIu4OzbgJmvAtd+Ctz4HaDr1JNoiaidDDYHWceLAe9AVbeZVK0NEzLIoo5g86fPPffco4q/pUu6jDRu2rQJH374oeqILgXqzq7TtHCgU5Pmc0Ou5itE5OIGxQbVB1lCltdJ12arM8iiThlk3XjjjaitrcXf/vY3VFRU4Nprr0VsbCxefPFFXH01P9iIiKhzSI4OgrsbkFNajZySKkTIDMPD31oWira1sTVRh7RwuPnmm1XrBmkKKo1CMzIy1CLOroDDhUREXYOflwd6dw9Q+7tPFANRKeijr4GHESjVlyKrPMvRp0hOzr2tHdkjIkwLFbsI9skiIup6dVm7MqX4PQWeAHqbmpJKNovI4cOFMpuwpSlVWYiZiIioMxgYG4wvth/XMlmBfQH/CNX5/YC3Fw4UHMB58eyhRw4OsqQnlpkUvC9dulTNJBwzZow69uuvv2LPnj247bbb2u9MiYiI2jLDUEhdVs5vkPVJmMmiThFkPfjgg5b9efPm4Y477sCjjz7a5D5Sm+UKNVmymTvdExFR55UcHagus4qrUFCuR2hUCpIy16ljkski6lQ1WZ9++iluuOGGJsf/+Mc/4vPPTevEOTHWZBERdR2BPp5ICPNT+3tVU9LB6F+t1WRJ4XtRlWkxeaLOEGT5+vpi/fr1TY7LMR8fH3udFxERkV0MjNH6Ze2RuqzoIQg0GtGjVhuNOFDIbBZ1oj5ZCxYswK233oqtW7fi7LPPttRkvfnmm5ZFnYmIiDqLAdFBWLErG3uzSoBzhgBeAUiurkamh59qSjo6erSjT5GclM1B1r333qsWhJbmox988IE6lpycjLfffht/+MMf2uMciYiIWm1gjFb8vkeGC2VFiMhB6F+6F6v8/Vj8Tu2qVYu6STDlqgEVC9+JiLqWAabhwqO5ZajU18E3ajCS87Q1eFn8Tp22GakrYuE7EVHXEhHojfAALxiMwIGTpaqNQ3+9tlB0anEqqmqrHH2K5KRsDrLc3d2h0+lOuREREXUm0kxb1jG0FL9HDUZEXR1C6wyoM9bhcNFhR58iOSmbhwu//PLLBtdramqwfft2/Oc//8HDDz9sz3MjIiKyW13WukN5WhuHEQPg5u6B/vpq/OLrq+qyBoUP4itNjg+ypk+f3uTYlVdeiYEDB+Ljjz92mYWiiYio69VlqeJ3D2+gexKSqjNVkMW6LOr0NVmjR4/GDz/8YK+HIyIisnuvrP3ZJaiT4qyowWoNQ8HldahTB1mVlZV4+eWX0aNHD3s8HBERkV31DPOHr6cOVTUGpOaVAbK8jinIOlR4CHUGLpVGnWC4sFu3bqqI0MxoNKK0tBR+fn5477334OzYwoGIqOvRuUvxeyC2pRepIcM+UYORUFMLXyNQWVuJtNI09Aru5ejTJFcPsl544YUGQZbMNuzevbsaLpQAzBVaOMhWUlKC4GCtwR0REXWNuiwJsqT4fXr/wZD58H2rq/G7jzf25+9nkEWOD7ImT56MuLi4BoGWWXp6OuLj4+11bkRERHbv/K6W1/FNBkLikawv1YKswv24GBfz1SbH1mQlJiYiNze3yfH8/Hx1GxERUWddw1DIcKGUukhdVn9TXZZksogcHmSpH8xmlJWVwcfHxx7nREREZHf9owJVbVZBuR4nS6pVkJVcrXV+P1B44JSfb0TtPly4cOFCdSnDhA888IAqdDerq6vDb7/9hqFDh7b6RIiIiNqTj6cOvbv74+DJMtX5PSo6BX1qaqAzAgVVBcipyEGkfyTfBOr4TJZ0dZdNIv1du3ZZrsu2f/9+DBkyBG+//TY6o5kzZ6qifGma2tizzz6rGqkOGjTIJWZHEhG5MktdljQljUqBj9GIxJr6bBaRQzJZq1evVpc33ngjXnzxRQQFaWPbXcEdd9yBm266SS39Y02CxQ8++ABbt25V18877zxceumlCAkJcdCZEhFRe9dlfbn9uNb5PagP4Buq6rIOe3liX/4+nNvjXL4B5LiarLfeeqtLBVhi0qRJCAwMbHJ83759GDt2rKolk02GO//3v/855ByJiKjjOr+rGYYySz5a6rK04ndmssghQdbll1+u+kKZ90+32Wrt2rWYNm0aYmJiVL3X8uXLm9xn6dKlauaiBEIjRozAunXrYA8yRCgZuqKiIrX99NNPOH78uF0em4iIOu8ahukFFSipqmm4vE7+PgefHbnkcKE03TT3xbJ3A87y8nJVzyXDkFdccUWT22XR6QULFqhAa9y4cXj11VcxdepU7N2719KTSwKv6urqJl/7/fffq+DtVAYMGKCGEqX3l3xfo0aNgodH8y+JPL71c5iDTiIi6jpC/LwQG+KL40WV2HeiBKOjhiBJr9VkZZZlolRfikCvpiMfRO0WZMkQYXP79iABk2yn8vzzz2Pu3LmYN2+eur548WKsXLkSy5Ytw5NPPqmOmWuqWuOWW25Rm5Dn6NOnT7P3k+d6+OGHW/08RETUOSRHB6kgS+qyRvcbjGCDAdG1dcjy0OFAwQGMjBrp6FMkJ2GXBaLbi16vVwHUlClTGhyX6xs3brTLc+Tk5KjLAwcOYNOmTbjwwgubvd+iRYtQXFxs2TIyMuzy/ERE5MC6rPC+gIcv+ptGKvYXsCkpdXAma9iwYc0uo9Ocbdu2wV7y8vJUD67IyIZ9S+R6dnZ2ix9HAic5Lxma7NGjB7788ks1NChmzJih6rH8/f1Vlu5Uw4Xe3t5q4wLRRETOUZelZhi664DIAUguP4yf/RlkkQOCLAlEHKlxgCe9uloa9AkZXjwVWzNiXCCaiMg5MlmHc0qhrzXAS5bX2bdXHWMmizo8yHrwwQfhCOHh4dDpdE2yVjLE1zi71VGYySIi6tqk8D3Y1xPFlTU4eLIUg6SNw8531G1Hio+gpq4GnjpPR58muXJN1pYtW/Duu++qLultKTw/HS8vLzVzcNWqVQ2Oy3Xpb+UIksmSmY2bN292yPMTEVHbyEiIebFoVZcVlaIK34MMRtQaanG46DBfYurYju9mmZmZuOaaa7BhwwZLZ3SpaZKg58MPP0RcXJxNjycLSx8+XP8DnZqaih07diA0NFS1aJA1E6+//nqMHDkSY8aMwWuvvYb09HTMnz/f1lMnIiKy1GX9cjRfW14nZQDc3NyRVF2NTb4+asgwOSyZrxR1fCZLlqepqalR3dILCgrUJvtSJyWtFlqTEZPCetmEBFWyL4tQi1mzZqm2DY888ojqyC7NS1esWIGEhAQ4arhQ+muZC+eJiKgLzzCUIMvLDwjra2lKyrosshc3o0RHNvD19VXF4uagyExm70mz0MrKSrgCaUYqDUylnUNXW2aIiMjV7c8uwUWL1yHA2wO/PzgF7l/ejK9Tv8Xfu4djeMRw/Gdqw7VuyXmUdODnt82ZLBnCk0xWY7W1tYiNjYWzYyaLiKjr6909AF4e7iirrkVGYYW2vE51jSWTZTAaHH2K5ARsDrKeeeYZ/OUvf1HDfOYkmOzfeeedePbZZ+HsWPhORNT1eerc0T8ysL5fVlQKEmtq4G0EKmorkFHKhtPkgCBrzpw5qjB99OjRasFmadAp+zJcKPVaUrBu3oiIiLpEXVZUipoJ1levdX7fV8DFoskBswulCN2VsU8WEZGzdX4vBvz7A0GxSKquwG5vb+zP34+Lel7k6FMkVwuyZs+eDVfGju9ERE64hqGISkFy1jq1yxmG5JAgy7rrumwGQ8PiwJSUFHucFxERUbtKigqCrNB2sqQaeWXVCJfi97Qf1W0MssghQZZ0d5dslrk3VuMuurKgMxERUWfn7+2BxDB/HM0rV3VZ50anoK++Bu5GIL8qH7kVueju193Rp0muFGTdeOON6NevH/7973+r9QNtWajZGbAmi4jIeSTHBKkgS2YYnjskBb5Go5pleMTLUxW/M8iiDg2yZNmbL774An369IErYk0WEZFz1WV9+3uWVpc1YSjgE4L+er0KsmTI8Nwe5zr6FMmVWjicd9552LlzZ/ucDRERUQcyLxStZhjKyEzUYCRXc3kdclAm64033lA1Wbt378agQYPg6enZ4PbLLrvMTqdGRETUvgbGBKvL1LxyVOhr4Rc9BEnZm9SxffnslUUdHGTJuoXr16/Hd9991+Q2Fr4TEVFX0j3QW225pdXYl1WKEdLGQa8tr5NZlolSfSkCvbTO8ETtPlx4xx134Prrr0dWVpZq32C9ucLMQq5dSETkxP2yolMQbDAgulb7PGMrB+rQICs/Px933XWXmlnoirh2IRGRc9Zl7ZW6rLC+gIcPkqq15XUYZFGHBlmXX345Vq9e3aYnJSIi6mx1WWoNQ50HEDkQyXoWv5MDarKkR9aiRYtUXdbgwYObFL7LcCIREVFXW8Nwf3YpausM8IhKQdK+veoYF4qmDp9dGBAQgDVr1qitceE7gywiIupKEkL94O+lQ7m+TjUm7RedguQd76jbjhYdRXVdNbx13o4+TXKVZqRERETOwt3dDcnRQdiSVqj6ZfWLGoLIujqEGIwocq/D4cLDGBg+0NGnSa5Qk3Uqu3btwoIFC+z1cERERB0+ZKjqsiIHwM1Nh6TqKnWMQ4bkkCCrpKQEr776Ks466ywMGTIEP//8M5wdWzgQETlvGwdZwxCevkB4PyRXa/2yOMOQOjTIklqsG264AdHR0bjtttswefJkHDx4EDt27ICzYwsHIiLnMyDaNMMwqwRGo1H1y0oyzTBkJovaPciS5qNPPPGEWhj66quvRnh4uAq23N3dVcDlqgtGExFR19c3MgAe7m4oqqjBieIqIKo+yDpUeAh1Budvtk0OLHxPTEzEVVddpYbLLrjgAhVcEREROQMfTx36RASoNg5SlxUbnYKEmlr4GoHK2kqklaShV0gvR58mdTEtjpQSEhJUb6y1a9eqoUEiIiJnLH6XGYaIGgyd9IY0dX7nkCG1a5B14MABvPfee2rYcNSoURgxYgReeOEFS38sIiIi51hepwTw7QaExFuGDA8UHHDw2VFXZNOY37hx4/Dmm2+qQGv+/Pn45JNP1KLQUvz++uuvIzc3F51NRkYGJk6ciAEDBiAlJQWffvppg9u/+eYb9O/fH3379lWNVomIyLWX11EzDEVUCpKrWfxOrdeqwirp+H7zzTfjl19+wZ49e1RW6x//+AdiYmLQ2Xh4eGDx4sXYu3cvfvjhB7W4dXl5ubqttrYWCxcuxE8//YRt27bh6aefRkFBgaNPmYiIHJjJOl5UieKKmgbF79LGQc06JLJBm6vXk5OT8eyzz+L48eP4+OOP0dlIm4mhQ4eq/YiICISGhloCqU2bNmHgwIGIjY1FYGAgLr74YqxcudLBZ0xERI4Q7OeJHt181f6erGLVxqFPTQ08jEBRdRFOVpzkG0M2cbdnxujyyy+3+eukkH7atGkqCya1XcuXL29yn6VLl6rZjT4+Piprtm7dulad45YtW2AwGBAXF6eunzhxQgVYZj169FDBIhERuaYGdVlRKfA2Aok1WlPSffn7HHx21NU4vA+DDN1Jt/glS5Y0e7tkx2S5nvvuuw/bt2/HOeecg6lTpyI9Pd1yHwm8Bg0a1GSTIMosPz9f9fN67bXXLMeaS/2yiJ+IyHWZ67JUkBUUA/iFIdk0w5Cd36ndF4i2NwmYZDuV559/HnPnzsW8efPUdamvkiG9ZcuW4cknn1THtm7detrnqK6uxsyZM7Fo0SKMHTvWclyyWNaZq8zMTIwePfqUjyGb9ZJCRETkpGsYZpXIf91aXVbeFvyXbRyoK2ayTkev16sAasqUKQ2Oy/WNGze26DEkWzVnzhy19M/111/f4DZZc3H37t0q0CotLcWKFStw4YUXNvs4EtAFBwdbNvOQIxEROd8ahodyylBVU9dgeR1msqjDgqzDhw+rjFJlZaW63h6zLvLy8lSLiMjIyAbH5Xp2dnaLHmPDhg1qyFFqvaQAXrZdu3ZZ6siee+45TJo0CcOGDcM999yDsLCwZh9HsmDFxcWWTVpDEBGRc4kO9kGInyfqDEYcOlmmZbJMbRyyyrNQVFXk6FMkZx4ulNqmWbNmqbYHUr906NAh9OrVSw3nhYSEqKDF3hrXSUlA19LaqfHjx6ti91O57LLL1HYm3t7eapNlhWST4I+IiJyLfLZINmvD4XzV+X1wryEINBrRo7YOmR467C/cj7Ojz3b0aZKzZrKkz5RkgKTw3M/Pz3JcAq///e9/dj05WYRap9M1yVrl5OQ0yW51lNtvv1313Nq8ebNDnp+IiDpohqHUZYX2Bjz964vf8/fz5af2C7K+//571bRT2h1Yk47paWlpsCcvLy81c3DVqlUNjst16wL2jiRZLOkeL0sLERGRk3d+d3cHogZZhgy5hiG163ChtFywzmBZ10/JcJqtysrKVH2XWWpqKnbs2KGahsbHx6uO7FKwPnLkSIwZM0a1YJAsmizr46hMlmwyu1AK4ImIyDlnGO7LKoHBYIS7mmG4Ux1j8Tu1aybr3HPPxTvvvNNg/Fpqnv75z3+qAvLWNAiVonPZhARVsv/AAw9YhiGlbcMjjzyiitaleanMAkxISIAjMJNFROTceoX7w9vDHRX6OhzLL1czDJNNMwyPlRxDZa024YvoTNyMNk4LlHokWXBZhvGk+F2KxmX9QlmqRmby9e7dG67AnMmSmYZBQdp/PURE5BymL1mPnZnFWHLtMFwangO8NgET43sgX+eO9y5+D0O6D3H0KVIX+Py2OZMl9Ui///676jF1wQUXqOFDWU5HurG7SoBFRETObYB1XVZEMuDugSQWv1NHdHyPiorCww8/DFfEFg5ERC7U+V2CLA9voHsykvXp2ODny+J3ar9MlrRpWL9+fYOgQ2qlrr32WhQWFsLZsYUDEZHrdH5XmSwhnd9NMwxZ/E7tFmRJV3Tzun3SOV0K1S+++GIcPXpU7RMREXV1SVGBaunCvLJq5JRWqc7vyfoadduhwkOoMWj7RHYNsqTFgtRlic8//xzTpk3DE088gaVLl+K7776Ds+PsQiIi5+fn5aFmGVqyWdEp6FFbC3+DEXqDHseKjzn6FMkZgyxpEFpRUaH2f/jhB8vizdLXypzhcmYcLiQicq3id1WXFTlIfWD215s6vxew8zu1Q5AlawHKsOCjjz6KTZs24ZJLLlHHDx482KQLPBERUVevy1JBlk8QENoLydXaMCE7v1O7BFlLlixRaxd+9tlnWLZsGWJjY9VxGSq86KKLbH04IiKizr+GoZDO76ampMxkUbu0cJClbr755psmx1944QW4ArZwICJyrTYO0vW9rLoWAdL5/fC3liBLennLqidEdu2TJcvoyHqDOTk5ar/xsjvOjGsXEhG5hvAAb0QGeeNkSTX2Z5VgZNQQ9NLXwMMIlOpLcbzsOHoEskyG7Bhk/frrr6onVlpamorirUlEX1dXZ+tDEhERdUoDY4JxsiRHDRmOHJwCTwB99Xrs8/ZS2SwGWWTXmqz58+dj5MiR2L17t1qvUBqQmje5TkRE5Gx1WXuOlwABEUBAlKUui8XvZPdM1qFDh1TRe58+fWz9UiIioq45wzDLqvN79kYgkMXv1A6ZrNGjR6t6LFfFZqRERK5X/H4guxQ1dQZT53fTDMN89soiO2ey/vKXv+Cvf/0rsrOzMXjwYHh6ygh1vZSUFDgzFr4TEbmOuG5+CPT2QGl1LY7kliEpajD662vgZgRyKnOQX5mPMN8wR58mOUuQdcUVV6jLm266qUHBu3kqKwvfiYjIWbi7uyE5OgibjhWouqykxBT4GY1IqK3FMU8PVfw+Lnaco0+TnCXIkrULiYiIXGnIUIIsqcu6YlgS4B2EpOpqFWRJ8TuDLLJbkJWQkGDrlxAREXX5uqw9J4oltQVEDUZS0e/4H/zZ+Z3s34z0yJEjWLx4Mfbt26eGCJOTk3HnnXeid+/erXk4IiKiLrGGoSqNkeL3nK3qGJfXIbvOLly5ciUGDBigFoeWIvdBgwbht99+w8CBA7Fq1SpbH46IiKhT6xsRCE+dG0qqapFZWKm1cajWZhimlaShvKbc0adIzpLJuvfee3HXXXfhqaeeanL8//7v/3DBBRfAmXHtQiIi1+Ll4a4CLanJki0uKgWhBgMi6gzI0bnjQMEBDI8c7ujTJGfIZMkQ4dy5c5scl9mGe/fuhbOTFg7yfW7evNnRp0JERB1el1UCdO8P6LyRXF2tjrHzO9ktyOrevTt27NjR5Lgci4iIsPXhiIiIulRdFnSeQESyZchQMllEdhkuvPnmm/GnP/0JR48exdixY1Xh+/r16/H000+rJqVERETOuobhXplhKKJTkLxfC65Y/E52C7Luv/9+BAYG4rnnnsOiRYvUsZiYGDz00EO44447bH04IiKiTi/ZlMk6UVyFwnI9ukWloP/v76tjh4sOo8ZQA0/3hiugENk8XCiZKyl8z8zMRHFxsdpkX1o4yG1ERETOJsjHE/GhfvWLRUcPQWxtHfwNRhVgHSs+5uhTJGcIssxycnJUHdbOnTuRm5uLziojIwMTJ05UbSek5cSnn37a4PaZM2eiW7duuPLKKx12jkRE1MXqsiIHwg1u6KfXit8PFLIui+wQZJWUlOD6669XQ4QTJkzAueeeq/b/+Mc/qqxWZ+Ph4aEap8qMwB9++EFl4crL63uayBDnO++849BzJCKirlOXpTq/e/kD4X3RT1+jjh0sPOjgsyOnCLLmzZunmo9+++23KCoqUoHVN998gy1btqii+M4mOjoaQ4cOVfsy+zE0NBQFBQWW2ydNmqRqzIiIiE5nYGxQ/XChkLosvTbD8GABgyyyQ5AlwdWbb76JCy+8EEFBQSpAkf3XX39d3WartWvXYtq0aSobJjVdy5cvb3KfpUuXIjExET4+PhgxYgTWrVuH1pBA0GAwIC4urlVfT0RErmtAdLC6PJJbjqqaOjXD0JzJ4nAh2SXICgsLQ3Cw9oNmTY5JbZOtZOhuyJAhWLJkSbO3f/zxx1iwYAHuu+8+bN++Heeccw6mTp2K9PR0y30k8JLlfRpvJ06csNwnPz8fN9xwA1577TW0RnV1tRoqtd6IiMh1RAZ5I8zfC3UGIw5kl6pMVl99DdyMQF5lHvIr8x19itTVg6x//OMfWLhwIbKysizHsrOzcc8996j2DraSgOmxxx7D5Zdf3uztzz//vOowL8OUshC11FdJJmrZsmWW+2zduhW7d+9uskl2zBwgSYG7tJyQ3l6t8eSTT6pA0rwxG0ZE5FpktKVB5/foIfAzGhFXy7osslOQJcHNr7/+ioSEBPTp00dt8fHx2LhxI1599VUMHz7csrWVXq9XAdSUKVMaHJfr8nwtISumz5kzB5MnT1YF+60lAZq5ZYVsMmuRiIhctClpVjHgFwoE9UB/Fr+TvZqRzpgxAx0lLy8PdXV1iIyMbHBcrkv2rCU2bNighhylfYO53uvdd9/F4MGD1b7Uk23btk0NW/bo0QNffvklRo0a1eRxvL291cYFoomIXFeDTJaIHIi+ub9glb8fZxhS24OsBx98EB2tcZNTyU61tPHp+PHjVbH7qaxcudLmBaJlk5qs5mrTiIjI+Xtl7c8qVbVZuqhB6H98rTrGNg7U5uFCGSaTDu9mmzZtUoXprS0oP53w8HDodLomWStphNo4u9VRJJMljU2by3YREZFzSwwPgI+nOypr6pCaV64yWf1MbRyOFB1R3d+JWh1kXXvttVi9erXal+Dn/PPPV4HW3//+dzzyyCOwJy8vLzVzcNWqVQ2Oy/XWFrC3lWSxpLHp5s2bHfL8RETkODp3NyRFWfXLihysltcJMBi4vA61PciSWXtnnXWW2v/kk09UbZMUoX/wwQd4++23bX04lJWVqeV5ZBOpqalq39yiQWYyvvHGG6o31759+1THdrlt/vz5cARmsoiIXJt5yFB1fg/tBTcPH0s2i/2yqE01WTU1NaoAXMgyNZdddpnaT0pKatDWwZYGodJ13UyCKjF79mwVtM2aNUv1uJIsmTy+9L9asWKFmt3oCKzJIiJybQOs1zDUeQARyehbfQzbfHy0zu+9HH2G1GWDrIEDB+Jf//oXLrnkEjVs9+ijj6rj0vhTGpXaShZvlkL207ntttvURkRE5GgDY4ItQZaaiBU5EP0Pa8vqsPid2jRc+PTTT6t+WBIcXXPNNapbu/jvf/9rGUZ0ZhwuJCJybf0jA+HuBuSX65FTWq3qsri8DjXHzXimNFIzpHeVtDCwXkbn2LFj8PPzU4swuwJzCwdpTCprOBIRkeu44Pk1OJRThjfnjMRk74OoeGcazk6Ig9EN+PkPPyPM1/aRHXK+z2+bM1lC4jLpxC4ZrdLSUstMQAmyiIiIXKouK3Igl9ch+wRZaWlpakbh9OnTVRF4bm6uOv7MM8/g7rvvhrPjcCEREdXPMCwxLa8Ty+V1qO1B1p133omRI0eisLAQvr6+luOyAPOPP/4IZ8c+WURENCA6uL5XlogchL6mNg4sfqdWzy5cv369Wg9QhgetSUuF48eP2/pwREREXXa4MC2/AiVVNQiSGYam5XUOFBxw8NlRl81kyTqAUvjemCy1ExgYaK/zIiIi6rRC/b0QHexjWccQsoaheXmdYi6vQ60Msi644AIsXrzYcl0Wapau7bJw9MUXXwxnx5osIiJq0vk9chBiTMvr1BpqkVqcyheJbA+yXnjhBaxZs0YtklxVVaXWMuzZs6caKpQeWs6ONVlERCQGRFvNMAzt3WB5HdZlUatqsmJiYtTagh9++CG2bdumhg/nzp2L6667rkEhPBERkTMbYOr8vse8vE73JPTVp3F5HWp9kCUkmLrpppvUZibrCt5zzz1YsmRJax6SiIioSw4XHsopRU2dAZ5Sl3X4kDrGTBbZPFy4d+9eVZP02muvoaioSB3Ly8vDXXfdhV69euGnn37iq0pERC6hRzdfBHh7oKbOiKO55aoui8vrUKuCrG+++QbDhg3DX/7yF8yfP1/1ylq9ejWSk5PV8OGnn36qgjBnx8J3IiIyT/xKitJm1e/PLjH1yqqBmxHIq8xDfmU+XygX1+Ig6/HHH1fBlaz58+yzz+Lo0aPq+ueff66CrUsvvRSugIXvRERklhQdWN+U1LS8To/aGnXscNFhvlAursVB1r59+1SAERAQgDvuuAPu7u6qlcO5557bvmdIRETUSSVFBdX3yjItr9NHzyCLbAyyJIMVEhKi9j08PFTxe79+/Vr65URERE4nOdpquFBEDlRDhuJQoVYET67LptmFUnOVnZ2t9o1GIw4cOIDy8vIG90lJSbHvGRIREXVS/U2ZrJMl1Sgo1yNU6rJOrFfHDhUxyHJ1NgVZ5513ngquzMx1WFL8J8flsrkld4iIiJyRzC6MD/VDekGFymaNVZksrSHp4cLDls9Gck0tDrJSU7lEABERUWMyw1CCrH1ZpRjbfzDia2rhYTSiorYCJ8pPIDYgli+ai2pxkJWQkNC+Z9KFWjjIxowdERGJpOggfL/3JPbLDMMxA+Gp80ZiTQ0OeXmpbBaDLNdl89qFro4tHIiIyNoAS/F7qba8TkRyffE767JcGoMsIiIiO7RxOHiyFLV1Bs4wJAsGWURERG0ghe++njpU1xpwLL/ClMkyFb+zIalLY5BFRETUlg9Sdzf0Ny2vs0/qsiIGoE+NNlx4tPgoagzaPrkem4Os995775S33XPPPW09HyIioq7dlDRiAGJq6+BnMKDWUIv0knRHnx51lSDrz3/+s1osurG77rrrtAGYo2RkZGDixIkYMGCAapQqC1m35DYiIqKWSo62Wl4nMApuPiGW5XXY+d112RxkffTRR/jjH/+ItWvXWo795S9/wSeffKIWiu5sZAkgWWNRutX/8MMPKhg0d6k/3W1EREQ2r2EoMwyl+ag0JTUNGXKGoeuyOci66KKL8K9//QszZszAli1bcNttt+GLL75QAVZSUhI6m+joaAwdOlTtR0REIDQ0FAUFBWe8jYiIqKXMNVnHiypRXFnTsPi98DBfSBfVqsL3q6++Go8//jjGjx+Pr7/+GmvWrGn1YtGSEZs2bRpiYmLU0gPLly9vcp+lS5ciMTERPj4+GDFiBNatW9eq55Kg0GAwIC4uzqbbiIiITifY1xOxIb5q/4BksyKS64cL2SvLZbWo4/vChQubPS7Zn2HDhqkgyOz555+36QRkeG7IkCG48cYbccUVVzS5/eOPP8aCBQvUc4wbNw6vvvoqpk6dqob44uPj1X0k8Kqurm7ytd9//70K3kR+fj5uuOEGvPHGG03ud7rbiIiIWrq8jmSyZIbhWbGyhqEWZGWWZqKipgJ+nn58IV1Mi4Ks7du3N3u8d+/eKCkpsdzemkUwJWCS7VQkaJs7dy7mzZunrksN1cqVK7Fs2TI8+eST6tjWrVtP+xwSgM2cOROLFi3C2LFjW3xb4/tZB3LyfRMREVkXv/+4P0ebYTgsCaEGA0Lr6lCg06lWDoPCB/HFcjEtCrIcVdCu1+tVAHXvvfc2OD5lyhRs3LixRY8hK6DPmTMHkydPxvXXX9/i2xqTgO7hhx9uxXdBRESuIMnUxkEWioZvNyAoVmWzfvPVqRmGDLJcT6duRpqXl6cWYo6MjGxwXK5nZ2e36DE2bNighhyl1kuK3GXbtWvXGW9rTDJdxcXFlk3aPxARETWeYSg1WQaDsUHxO+uyXFOLMlmNa6ieeuop/Pjjj8jJyVHF4taOHj0Ke2s8DCkZqJYOTUpxfuNzbMltjXl7e6vtlVdeUZsEf0RERGY9w/zg7eGOypo6pBdUoKcUv2f/om7jDEPXZHOQJbVRMptQhtekBUJr6rBaKjw8HDqdrknWSoK7xtmtjnL77berTWqygoODHXIORETU+Xjo3NEvMhC7jher4veeEfW9sriGoWuyOcj67rvv8O2336qZfu3Ny8tLzRxctWqVKk43k+vTp0+HIzCTRUREp1teRwVZ2aWYOjAZvU0zDHMrc1FUVYQQnxC+eC7E5pqsbt26qaad9lJWVoYdO3aoTaSmpqr99PR0S/sIaa3w5ptvYt++faoru9w2f/58OIJksaR9xObNmx3y/ERE1AU6v8tC0d37wx9uiK2pVcdYl+V6bA6yHn30UTzwwAOoqKiwywlIE1DptSWbOaiSfXkOMWvWLNW24ZFHHlGF6dK8dMWKFUhISICjMlmy1uGoUaMc8vxERNT5Zxiq5XU8fYHQXvXF74WHHHx21NHcjFJFbgMJgI4cOaKKz3v27AlPT88Gt2/btg2uwFyTJTMNg4K0/1yIiMi1FZbrMezRVWp/98MXImD5HLyYvRZvhATjqn5X4YExWgKBXOPz2+aaLFmzkIiIiJrq5u+FiEBv5JRW49DJUgyLGIA+6T+q21j87npsDrIefPBBuDIWvhMR0ZkWi5Yg66A5yDLNMDxSpI0CteesfOpcOnUz0s6Ihe9ERHQ60sZBHMguAyIGIKGmFu5GI0r0JcivyueL50JalMmS2YQHDx5UfatkduHpovCCggJ7nh8REVGX0t8UZEkmC6Ej4OPuhR61tUj39FTZrHDfcEefInWmIOuFF15AYKD2QyMz/VwZhwuJiOh0+kWZMlkSZOk8gO790FufZQmyRkeP5gvoIloUZM2ePbvZfVfEju9ERHQ6fSMC1GVuaTUKyvUIjRiA3hnpWG2qyyLX4dHS6Y4txXYGRETkyvy9PRAX6ouMgko1ZHh2xAD0OvK1uu1IMYMsV9KiICskJOSMsyHMMya4cDIREbk6qcuyDrJ6m2YYHi066uhTo84WZK1eLUlOEqzJIiKilsww/GFfDg5I5/fkZCTW1Er3bxRWF6KgqgChPvZbno66eJA1YcKE9j+TLoI1WURE1JJeWUIFWcGD4Ovpj9jaWmSait9DoxhkuYI29ckaPHgwMjIy7Hc2RERETsDSK+tkKdTadd37o7dpoWgWv7uONgVZx44dQ41pnJmIiIg0vbr7Q+fuhtKqWmSXVAHdk9BLX9/5nVwDO763oiZrwIABGDVqVPu8I0RE1OV5e+jQK9y/fshQZbJMxe/FLH53FW0Kss455xz4+vrClXBZHSIisqUpqer83j0JvZnJcjltCrJWrFiB6Oho+50NERGRky2vo9Yw7N4fvUyZLFm/sKiqyMFnR502yHr33Xcxbtw4xMTEIC0tzbLczldffWXv8yMiIurSxe8qkxUcDz8PX8SYi9/ZlNQl2BxkLVu2DAsXLsTFF1+MwsJCS/NRaVjq6usaEhERNW7jcCinFHVwA8L7WbJZLH53DTYHWS+//DJef/113HffffDwqG+zNXLkSOzatcve50dERNQlxYf6wdvDHVU1BmQUVGh1WSx+dyk2B1mpqakYNmxYk+Pe3t4oLy+313kRERF1adLCoW9kgKVflpphyOJ3l2JzkJWYmIgdO3Y0Of7dd9+p1gbOji0ciIjI5ros1cahPpPF4ULX0KJldazdc889qo1BVVWVWhR606ZN+PDDD/Hkk0/ijTfegLPjsjpERGTzDEPJZA3tb2lImluZi+LqYgR7B/PFdGI2B1k33ngjamtr8be//Q0VFRW49tprERsbixdffBFXX311+5wlERFRV++V1W0IAnTeiKytxUkPD6QWp2JoxFBHnyJ1piBL3HzzzWrLy8uDwWBARESE/c+MiIjISTJZR3PLoTe4wSu8L3rrs1WQJUOGDLKcW5uakYaHhzPAIiIiOoXoYB8Eenug1mBEal65toahuS6LvbKcXosyWTKb0M3NrUUPuG3btraeExERkVOQz04ZMtyaVqjqsvp3748+qSvUbSx+d34tCrJmzJjR/mdCRETkpDMMJchSMwzjOcPQlbQoyHrwwQfRVWVkZOD6669HTk6Oap56//3346qrrlK3lZaWYvLkyaipqVGd6++44w5Va0ZERGQv/ax7ZY2oHy48WXESZfoyBHhpt5PzaVXhe1cigZUs9zN06FAVaA0fPlwtCeTv7w8/Pz+sWbNGXcpMyUGDBuHyyy9HWFiYo0+biIicrFfWkZwyoNtQBMED4bV1yPPQ4VjJMQwKH+ToU6TOEmR169at2fosOebj44M+ffpgzpw5qtVDZxAdHa02IbMgQ0NDUVBQoIIsnU6nAiwhfb8kmyW9v4iIiOylT4SWqTqWX45qoxu8w/sisSZPBVnSxoFBlvOyeXbhAw88AHd3d1xyySV4+OGH8dBDD6l9OSaNOvv164dbb71VrW/YEmvXrsW0adMQExOjArXly5c3uc/SpUtVp3kJ4kaMGIF169ahNbZs2aJaTsTFxVmOFRUVYciQIejRo4fq/SUzJomIiOwlItAbgT4eMBhhmmHYH4mmIUMJssh52ZzJWr9+PR577DHMnz+/wfFXX30V33//PT7//HOkpKTgpZdealF9k6x3KEGOZL6uuOKKJrd//PHHWLBggQq0xo0bp55n6tSp2Lt3L+Lj49V9JPCqrq5u8rVyPhK8ifz8fNxwww1NutKHhIRg586dOHnypBoqvPLKKxEZGdnkseTxrZ+jpKTkjN8bERGRJBD6RgRgW3oRDp0sQ1L3ZCRm/KBeGAZZzs3mTNbKlStx/vnnNzl+3nnnqduE1DwdPXq0RY8nAZMEbRLgNOf555/H3LlzMW/ePCQnJ6v6KslELVu2zHKfrVu3Yvfu3U02c4AlwdHMmTOxaNEijB07ttnnkcBKgkPJrDVHlg0KDg62bNbZMCIiotPpG6HVZR2WuixmslyGzUGW1DR9/fXXTY7LMbnNnJ0KDNR+oNpCr9erAGrKlCkNjsv1jRs3tugxpMZKasRkFqHMMrQm2StzRkouJcDq379/s48jAVpxcbFlk1mLRERELdHXNMNQC7KSLMOFaaVpqDXU8kV0UjYPF0oLBKm5Wr16Nc466yyVBpVFolesWIF//etf6j6rVq3ChAkT2nxysmyPFKM3Hr6T69nZ2S16jA0bNqghR8lSmeu93n33XQwePBiZmZkqSyaBmGx//vOf1f2a4+3trbZXXnlFbXJeREREthS/H8opBUIHIcrgBh+DAVWoxfGy40gISuAL6YRsDrKkzmrAgAFYsmQJvvjiCxWcJCUlqVYI5qG4v/71r3Y9ycazGeU5W9qBfvz48arYvTlSy7Vjxw6bzkWK+2WTzJcMGxIREZ1JX1MbByl8r3HzgGdob/SsKcZ+by9Vl8Ugyzm1qk+WFKDL1t5kpp+0WWictZJ+V80Vp3cEZrKIiMhWMcE+8PPSoUJfh7T8CvTp3g+JeRstQdbEuIl8UZ1Qq4IsyQwdPnxYBTuNs0Tnnnuuvc4NXl5eKtskw49SuG4m16dPnw5HYCaLiIhsJaMvMmT4e2axqsvqE94PiVlr1G2cYei8bA6yfv31V1x77bVIS0tr0rhTfohsrVUqKytTAZtZamqqGsKTInpp0bBw4UJVsD5y5EiMGTMGr732GtLT05u0kOgozGQREVFr1AdZpYAEWTVawTuDLOdlc5AlwY0EPN9++63qpN7S2qjTNQidNGmS5boEVWL27Nl4++23MWvWLNXj6pFHHkFWVpZa+kaK7BMSHFMkyEwWERG1pY3DIZlh2L+vZYbh0eKjNtUakxMHWYcOHcJnn32mls+xh4kTJ55xKZvbbrtNbURERF2VNCQV0pAUYUMQX1MLN6MRJfoSFFYXItRHa4NELtwna/To0Q2G91yNDBfK7MpRo0Y5+lSIiKgL9so6kluGOq9A+AZEIaZWK7HhkKFzsjmT9Ze//EW1aJAZf9JrytPTs8Htp+oz5Sw4XEhERK3Ro5sfvDzcUV1rQGZhBRLC+6JnxT4c9/RQQdaIyBF8YV09yDKvL3jTTTdZjsk4snk8mU06iYiImtK5u6F39wDsyypRMwwTpPj9yO/YAF9mspyUzUGWzP5zZZxdSEREbanLkiBLit/PkyBrP2cYOjObgyxHzerrLDhcSEREdil+H1E/w5A1WS4cZP33v//F1KlTVf2V7J/OZZddZq9zIyIictKFok29svRakCXrF1bXVcNb5+3gM6QOD7JmzJihCt0jIiLU/qmwJouIiOjU+lj1yjIGRiNM54vAOgNKde5IK0lDv279+PK5WgsHWTpHAizz/qk2Vyh6ZwsHIiJqrYQwP3jq3NQahidK9HAL680hQydmc58sVyc1WXv37sXmzZsdfSpERNTFeOrc0TPMX+3LDEMZMuzFuiyn1eIg67fffsN3333X4Ng777yDxMREleX605/+hOrq6vY4RyIiIqeryzp00ryGIYvf4epB1kMPPYTff//dcn3Xrl2YO3cuzj//fNx77734+uuv8eSTT7bXeRIRETlVXZaWyZIZhmzjAFcPsnbs2IHzzjvPcv2jjz5SS+y8/vrralHnl156CZ988kl7nScREZFztXEwDReaZxgeK0mFwWhw8NmRQ4KswsJCREZGWq6vWbMGF110keW6rOWXkZEBZ8fCdyIistdwoTG0F2Jr6+BhNKKytgo5FTl8cV0xyJIAy9ztXa/XY9u2bRgzZozl9tLS0ibrGDojFr4TEVFbSOG7mxtQUlWLfL0OniHxiDMNGR4tPsoX1xWDLMlaSe3VunXrsGjRIvj5+eGcc86x3C71Wr17926v8yQiInIKPp469Ojmq/aPmIYME0zF7+kl6Q4+O3JIkPXYY49Bp9NhwoQJqg5LNi8vL8vtb775JqZMmWLXkyMiInJGslC0OJpXroKsnqZMljQkJRdcu7B79+4qi1VcXIyAgAAVcFn79NNP1XEiIiI6c5D184FcLZMV1RcJe8zF78f40rnyAtHBwcHNHg8NDbXH+RARETm9Xt21hqRHcsuAQTJcyEyWM2LHdyIiIgcNFx7JNQ8X1i8UXVOn7VPXxyDLRmzhQERE9spkZRZWoMqrG8I9g+An6wAbDcgoc/52SK6CQZaN2MKBiIjaqnuANwJ9PGAwAmkFlXALtxoyLGbxu7NgkEVERNTB3NzcrIYMteV1zG0cOMPQeTDIIiIicuCQ4VEJssL6WDJZnGHoPBhkERERObr4Pax3fUPSUjYkdRYMsoiIiBygwXBhWJ/6hqSsyXIaTh9kyaLVEydOxIABA5CSkqKapjZWUVGBhIQE3H333Q45RyIicj29LcOF5TB2S0R8rZbJyqnMQUVNhYPPjuzB6YMsDw8PLF68GHv37sUPP/yAu+66C+Xl5Q3u8/jjj2P06NEOO0ciInI98WF+0Lm7oay6FjlV7ggO7IHQujp1G4vfnYPTB1nR0dEYOnSo2o+IiFCd6QsKCiy3Hzp0CPv378fFF1/swLMkIiJX4+2hQ5z1QtFWdVkMspyDw4OstWvXYtq0aYiJiVFTWpcvX97kPkuXLkViYiJ8fHwwYsQItYZia2zZsgUGgwFxcXGWYzJE+OSTT7bpeyAiImpTXZYsFB0qQRZnGDoThwdZMnQ3ZMgQLFmypNnbP/74YyxYsAD33Xcftm/fjnPOOQdTp05Fenr97AsJvAYNGtRkO3HihOU++fn5uOGGG/Daa69Zjn311Vfo16+f2oiIiDpa74gAq0xWfRsHZrJcdIFoe5OASbZTef755zF37lzMmzdPXZf6qpUrV2LZsmWWDNTWrVtP+xzV1dWYOXMmFi1ahLFjx1qO//rrr/joo49UMXxZWRlqamoQFBSEBx54oNnHkM2spKSkVd8vERGRWa9wq4Wik2SGIYcLnYnDM1mno9frVQA1ZcqUBsfl+saNG1v0GEajEXPmzMHkyZNx/fXXN7hNgjSZfXjs2DE8++yzuPnmm5sNsMz3DQ4OtmzWQ45ERERtyWTJDEOpyYq3Gi6Uzy/q2jp1kJWXl4e6ujpERkY2OC7Xs7OzW/QYGzZsUEOOUuslBfCy7dq1y+ZzkSxYcXGxZZPgjIiIyB41WceLKlHp3wPxspghgFJ9KQqrC/nidnEOHy5sCSmItybRfeNjpzJ+/HhV7H4mku06HW9vb7W98sorapPgj4iIqC1C/b0Q4ueJoooaHC2owsCQRETXliPLwwPpJekI9QnlC9yFdepMVnh4OHQ6XZOsVU5OTpPsVke5/fbbVc+tzZs3O+T5iYjIObNZ5iFDcxsHrmHY9XXqIMvLy0vNHFy1alWD43LduoC9I0kWS7rHjxo1yiHPT0RETlz8zhmGTsXhw4Uyq+/w4cOW66mpqdixY4dqGhofH4+FCxeqgvWRI0dizJgxqgWDtG+YP3++wzJZssnsQimAJyIisksbB8lk9e1dv4ZhSRpf2C7O4UGWNAidNGmS5boEVWL27Nl4++23MWvWLNXj6pFHHkFWVpbqf7VixQq11qAjsCaLiIjaZ7iwDDhbemVxuNBZuBk5R7RVzJksmWkovbWIiIhaQ4YJz3tuDXw9ddjz18E4viQFF8fFwFvnjU3XbYK7W6eu7OlyOvLzm++cjViTRURE9hQfqi0UXVlTh5Pohmg3L3gYjaiuq8bJ8pN8sbswBlk24uxCIiKyJ0+duwq0RGpeBTxCe6MH1zB0CgyyiIiIHKxnmCnIyje1cajVit8zStn4uitjkEVERORgieFa8Xuq6pXVB/Fcw9ApMMiyEWuyiIjI3hLDtUzWsXxzkKVlstJL0/lid2EMsmzEmiwiImqvTNbRvEZBVgmDrK6MQRYREZGD9TRlstLzK1DbrRcSamssNVl1Bq6V21UxyLIRhwuJiMjeYoJ94eXhjlqDEcerfRDlGQRPoxE1hhqcrGAbh66KQZaNOFxIRET25u7uhsQwf8uQoS6sD/wNBnW9qraKL3gXxSCLiIioEw0ZHjPVZVHXxyCLiIioM7VxkCArtLejT4fsgEEWERFRJ2rjoAVZiY4+HbIDBlk2YuE7ERG1eyYrjJksZ8Agy0YsfCciovasyTpeVInqoJ71N+jL+YJ3UQyyiIiIOoHuAd4I8PaA0Qikl3sAcNNuKM919KlRKzHIIiIi6gTc3Nws2Sw1ZOhmCrJgdOh5UesxyCIiIuqMdVnU5THIIiIi6iQSw6wWiqYuj0EWERFRJ5HY3dT1PZdBljNgkGUjtnAgIqL20tO0tA4zWc6BQZaN2MKBiIjaS2K4FmSdLKnmi+wEGGQRERF1EiF+Xujm56ldkV4O1KUxyCIiIuqE2SyGWF0fgywiIqJOpKcpyKKuj0EWERFRJ9KLQZbTcPogKyMjAxMnTsSAAQOQkpKCTz/9tMHtHh4eGDp0qNrmzZvnsPMkIiKybkhKXZ8sjuTUJIhavHixCqJycnIwfPhwXHzxxfD319KxISEh2LFjh6NPk4iISDEvrUNdn9MHWdHR0WoTERERCA0NRUFBgSXIIiIi6oy9sqjrc/hw4dq1azFt2jTExMSoxTGXL1/e5D5Lly5FYmIifHx8MGLECKxbt65Vz7VlyxYYDAbExcVZjpWUlKjHHD9+PNasWdOm74WIiKit/L09EBHozRfSCTg8k1VeXo4hQ4bgxhtvxBVXXNHk9o8//hgLFixQgda4cePw6quvYurUqdi7dy/i4+PVfSRIqq5u2rjt+++/V8GbyM/Pxw033IA33nijwX2OHTum7rN7925ccskl2LVrF4KCgtrt+yUiImpJNusEX6Yuz+FBlgRMsp3K888/j7lz51qK0qW+auXKlVi2bBmefPJJdWzr1q2nfQ4JwGbOnIlFixZh7NixDW4zB2GDBg1SxfEHDx7EyJEjm30M60BOMmBERETtISHMDydK+dp2dQ4fLjwdvV6vAqgpU6Y0OC7XN27c2KLHMBqNmDNnDiZPnozrr7++wW2FhYWWwCkzM1Nlx3r16tXs40hAFxwcbNmshxyJiIjsib2ynEOnDrLy8vJQV1eHyMjIBsflenZ2doseY8OGDWrIUWq9zK0aZEhQ7Nu3T2WtZLjy0ksvxYsvvqgK45sjWbDi4mLLJq0hiIiI2gOL352Dw4cLW0IK4htnpxofOxUpaJdi9+bI0KE54DoTb29vtb3yyitqk+CPiIiovYYLqevr1Jms8PBw6HS6Jlkr6XfVOLvVUW6//XY1rLh582aHPD8REblWkFWh5z/1XVWnDrK8vLzUzMFVq1Y1OC7XGxewdxTJYkmB/KhRoxzy/ERE5PwCfTwt+0UVeoeeC3Xh4cKysjIcPnzYcj01NVV1YJfaKGnRsHDhQlWwLrVTY8aMwWuvvYb09HTMnz/fYZks2WR2oRTAExEREXXKIEsahE6aNMlyXYIqMXv2bLz99tuYNWuW6nH1yCOPICsrS7VaWLFiBRISEhxyvqzJIiIiopZwM0oVOdnMnMmSmYZsXkpERPY2/s2BKNa5Y1nKkxg/7FK+wF3w87tT12QRERERdVUMsmzEwnciIiJqCQZZNmILByIiImoJBllERERE7YBBlo04XEhEREQtwSDLRhwuJCIiopZgkEVERETUDhhkEREREbUDBlk2Yk0WERERtQSDLBuxJouIiIhagkEWERERUTtgkEVERETUDjza40FdgXldbVlokoiIyN5qK+tQpzOivKyCnzV2ZP7cNn+Otyc3Y0c8i5MVvstWXV2No0ePOvp0iIiIqBWOHDmCXr16oT0xyGqloqIidOvWDenp6QgODkZnMWrUKGzevLnTPa6tX9+S+7f1Pqe6rbnj8p9PXFwcMjIyEBQUhM6C73fLXw++3+33c8Tf7/bB3+/2+f0uLi5GfHw8CgsLERISgvbE4cJWcnfXytkkwOpMH7o6na5dzqetj2vr17fk/m29z6luO93XyHG+32fG97t98Pe75a8Hf7/b7+fIWX6/3U2f4+2Jhe9O2GKiMz6urV/fkvu39T6nuq29XsP2wPe75a8H3+/2+zni73f74O931//95nBhK8nwkWSxJO3YmTIb1D74frsWvt+uhe+3aynpwM9vZrJaydvbGw8++KC6JOfH99u18P12LXy/XYt3B35+M5NFRERE1A6YySIiIiJqBwyyiIiIiNoBgywiIiKidsAgi4iIiKgdMMgiIiIiagcMsjqAh4cHhg4dqrZ58+Z1xFOSg1VUVCAhIQF33323o0+F2lFpaalatkN+twcPHozXX3+dr7cTk2W1Jk6ciAEDBiAlJQWffvqpo0+J2tnMmTPVEnpXXnllq76eLRw6QHh4OPLy8jriqaiTuO+++3Do0CG1Ptazzz7r6NOhdlJXV6cWi/fz81OB9aBBg9Q6aWFhYXzNnVBWVhZOnjypguqcnBwMHz4cBw4cgL+/v6NPjdrJ6tWrUVZWhv/85z/47LPPbP56ZrKI7EyCq/379+Piiy/ma+vkZF00CbBEVVWVCrqMRqOjT4vaSXR0tAqwREREBEJDQ1FQUMDX24lNmjQJgYGBrf56lw+y1q5di2nTpiEmJgZubm5Yvnx5kxdp6dKlSExMhI+PD0aMGIF169bZ3MJfvm78+PFYs2ZNq98s6hrvtwwRPvnkk3y7XOT9LioqwpAhQ9CjRw/87W9/U5lrct7322zLli0wGAyIi4uzw5lTZ3+/W8vlg6zy8nL1B3LJkiXNvkAff/wxFixYoIZ/tm/fjnPOOQdTp05Fenq65T7yxskwQePtxIkT6vZjx45h69at+Ne//oUbbrhBBV3knO/3V199hX79+qmNXOP3OyQkBDt37kRqaio++OADNZxEzvt+i/z8fPW3/LXXXuuQ74sc+363iZEs5OX48ssvG7wiZ511lnH+/PkNjiUlJRnvvffeVr1yF110kXHz5s181Z30/Zb79ejRw5iQkGAMCwszBgUFGR9++GG7njd13t9veaxPPvmEb5ETv99VVVXGc845x/jOO+/Y7Vypc/9+r1692njFFVe06rxcPpN1Onq9XmWgpkyZ0uC4XN+4cWOLgtjCwkJVGCsyMzOxd+9e9OrVqw1hMXXm91uGCWUGkmQvpeD95ptvxgMPPNBOZ0yOfr8la2XOTMulDF/079+fb4yTvt/yWT5nzhxMnjwZ119/fTudKXWW99sePDrsmbogmREohayRkZENjsv17OzsFj3Gvn37cMstt8Dd3V2NGb/44ouqWJKc8/0m13q/5R+nuXPnqg9f2f785z+rqf3knO/3hg0b1BCUvMfm+p93331Xte8g5/x7fuGFF2Lbtm1qaFLqLr/88kvVtqWlGGS1gARH1uSPaeNjpzJ27Fjs2rWrxW8Ide3325r8x0vO/X5LPceOHTva6cyos73fMnlJit3Jdf6er1y5sk3Pz+HC05BZQjJFu3HUK/1RGkfH1PXx/XYtfL9dC99v1xLeST6/GWSdhpeXl/pPddWqVQ2Oy3XJUJFz4fvtWvh+uxa+367Fq5N8frv8cKF0cj18+LDlBZFp2JL+l7op6da9cOFCVeA4cuRIjBkzRk3Zlemf8+fP77A3ieyH77dr4fvtWvh+u5ayrvD5bXRxMjVTXobG2+zZsy33eeWVV9SUfC8vL+Pw4cONa9asceg5U+vx/XYtfL9dC99v17K6C3x+c+1CIiIionbAmiwiIiKidsAgi4iIiKgdMMgiIiIiagcMsoiIiIjaAYMsIiIionbAIIuIiIioHTDIIiIiImoHDLKIiIiI2gGDLCIiB9Lr9ejTpw82bNhg18f95ptvMGzYMBgMBrs+LhG1HIMsIrKbOXPmwM3Nrclmvb4YNSTrqSUkJGDcuHGWY/KaLV++vNnXd8aMGS16CS+99FL1OB988AFfciIHYZBFRHZ10UUXISsrq8GWmJjYbAaHgJdffhnz5s1rl5fixhtvVI9PRI7BIIuI7Mrb2xtRUVENNp1Oh4kTJ+LPf/4zFi5ciPDwcFxwwQXq/nv37sXFF1+MgIAAREZG4vrrr0deXp7l8crLy3HDDTeo26Ojo/Hcc8+px1qwYMFpMz8hISF4++23LdePHz+OWbNmoVu3bggLC8P06dNx7NixJlmiZ599Vj2P3Of2229HTU2N5T7V1dX429/+hri4OPV99u3bF//+979hNBrVkJ98rbXdu3fD3d0dR44cafa12rZtm8ryXXLJJTa/znLuzWUN5bUxu+yyy7Bp0yYcPXrU5scnorZjkEVEHeY///kPPDw8VP3Rq6++qrJcEyZMwNChQ7Flyxb873//w8mTJ/GHP/zB8jX33HMPVq9ejS+//BLff/89fv75Z2zdutWm562oqMCkSZNUoLZ27VqsX79e7UvWzTqjJs8jAZFcyrlKkGYdqEmw99FHH+Gll17Cvn378K9//Us9jgQ3N910E956660Gz/vmm2/inHPOQe/evZs9LzmXfv36ISgoCLaSQM86W7h9+3YVGJ577rmW+8gwZEREBNatW2fz4xORHRiJiOxk9uzZRp1OZ/T397dsV155pbptwoQJxqFDhza4//3332+cMmVKg2MZGRlG+dN04MABY2lpqdHLy8v40UcfWW7Pz883+vr6Gu+8807LMbn/l19+2eBxgoODjW+99Zba//e//23s37+/0WAwWG6vrq5Wj7Ny5UrLuSckJBhra2st97nqqquMs2bNUvtyPvI8q1atavZ7P3HihPref/vtN3Vdr9cbu3fvbnz77bdP+XrJ9zB58uQmx+V5fHx8GryOsnl4eBinT5/e5P6VlZXG0aNHGy+99FJjXV1dg9uGDRtmfOihh055DkTUfjzsEagREZlJxmjZsmWW6/7+/pb9kSNHNnihJCMlWSPJBjUmGaXKykqVaRozZozleGhoKPr372/TCy7PI8NygYGBDY5XVVU1GMobOHCgGto0k2HDXbt2qf0dO3ao2yTz1hy5rwz7SfbqrLPOUrP75PGvuuqqU56XfH8+Pj7N3vbCCy/g/PPPb3Ds//7v/1BXV9fkvnPnzkVpaSlWrVqlhiet+fr6qkweEXU8BllEZFcSVEl90qlusybtBaZNm4ann3662aDl0KFDLXpOGa7TEkD1rGup5HlGjBiB999/v8nXdu/e3bLv6enZ5HHNLRAkWDkTKWCXmjIJkGToUGrA/Pz8Tnl/qU0zB3GNSS1b49dRgsSioqIGxx577DE1zCq1V42DSFFQUNDgeySijsMgi4gcZvjw4fj888/Rs2dPVavVmAQZEvj8+uuviI+PV8cKCwtx8ODBBhklCSKkLslMgjPr7I08z8cff6zqk1pT/yQGDx6sAq41a9Y0yTCZSQG/BJKSyfvuu+9UzdXpSB8rua8EiBLQ2Upeu0ceeUQ9V3N1X+ZMnTwPEXU8Fr4TkcPI7D3JtFxzzTWWWXBS3C5F5DIsJsOIMhQmxe8//vijmq0nswAbD4lNnjwZS5YsUbP1pIB+/vz5DbJS1113ncoayYxCKQJPTU1VwdKdd96JzMzMFp2rBIKzZ89W5yYzGeUxpAj/k08+sdxHhhPl/BYtWqQCROthzlMNrcrsyT179tj82slrIYX4MoQow5zZ2dlqk9fTTIJTmQV5pvMgovbBIIuIHCYmJkbNNJSA6sILL8SgQYNU4BMcHGwJpP75z3+qGXPSjkAySOPHj1dDf9akrYPMtpP7XXvttbj77rsbDNPJvmSVJBt2+eWXIzk5WQVLUhNlS2ZLsk5XXnklbrvtNiQlJeHmm29WQZI1CQqljkwe/0xkNqCcT3PDmGciwaRk62S4UIZWzZs8ntmHH36oAszTDVkSUftxk+r3dnx8IiK7k15Q0vZh8eLFne7VlaBRzk8yZNL360ykJkuCx+YK89siNzdXBYISjDXXDJaI2h8zWUREdiCNSiVQuv/++1Wfr5YEWOZar2eeeaZBY1R7kOHMpUuXMsAiciAWvhMR2YEMzclQoWTY3n33XZu+Vmq97E3aSMhGRI7D4UIiIiKidsDhQiIiIqJ2wCCLiIiIqB0wyCIiIiJqBwyyiIiIiNoBgywiIiKidsAgi4iIiKgdMMgiIiIiagcMsoiIiIgYZBERERGhS/h/y5EmTz8Y7R0AAAAASUVORK5CYII=", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tdi_resp_np = lisa.tdi_response_numpy\n", "link_resp_np = lisa.single_link_response_numpy\n", "\n", "plt.figure()\n", "plt.loglog(freqs, np.abs(link_resp_np['link12']), label='link12')\n", "plt.loglog(freqs, np.abs(link_resp_np['link23']), label='link23')\n", "plt.loglog(freqs, np.abs(link_resp_np['link31']), label='link31')\n", "plt.xlim(f_min, f_max)\n", "plt.ylabel('Single-link Response Amplitude')\n", "plt.xlabel('Frequency (Hz)')\n", "plt.legend()\n", "\n", "plt.figure()\n", "plt.loglog(freqs, np.abs(tdi_resp_np['A']), label='A')\n", "plt.loglog(freqs, np.abs(tdi_resp_np['E']), label='E')\n", "plt.loglog(freqs, np.abs(tdi_resp_np['T']), label='T')\n", "plt.xlim(f_min, f_max)\n", "plt.ylabel('TDI Response Amplitude')\n", "plt.xlabel('Frequency (Hz)')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 12, "id": "56e15f80", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/nrui/disk_ext/workspace/tiwave/tiwave/waveforms/IMRPhenomXHM.py:7038: UserWarning: Mode 32 has relatively large numerical errors with lalsim, especially for high spin and extreme mass ratio. See examples/checking_waveforms.ipynb for more details. Please make sure these errors are acceptable in your cases before using.\n", " warnings.warn(\n", "/home/nrui/disk_ext/workspace/tiwave/tiwave/waveforms/IMRPhenomXHM.py:7045: UserWarning: `tf` is required for mode 32, since the derivative of phase for merge-ringdown of mode 32 is obtained through numerical difference, if may not reliable for some cases.\n", " warnings.warn(\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wf_hm = IMRPhenomXHM(tdi_data.frequency_samples, f_ref)\n", "wf_hm.update_waveform(params)\n", "lisa.update_detector_response(\n", " wf_hm.waveform_container,\n", " params[\"ecliptic_longitude\"],\n", " params[\"ecliptic_latitude\"],\n", " params[\"polarization\"],\n", " params[\"coalescence_time\"],\n", ")\n", "tdi_resp_np = lisa.tdi_response_numpy\n", "plt.figure()\n", "plt.loglog(freqs, np.abs(tdi_resp_np['A']), label='A')\n", "plt.loglog(freqs, np.abs(tdi_resp_np['E']), label='E')\n", "plt.loglog(freqs, np.abs(tdi_resp_np['T']), label='T')\n", "plt.xlim(f_min, f_max)\n", "plt.ylabel('TDI Response Amplitude')\n", "plt.xlabel('Frequency (Hz)')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 13, "id": "e4a068c1", "metadata": {}, "outputs": [], "source": [ "lisa.inject_signal(\n", " wf.waveform_container,\n", " params[\"ecliptic_longitude\"],\n", " params[\"ecliptic_latitude\"],\n", " params[\"polarization\"],\n", " params[\"coalescence_time\"],\n", ")" ] }, { "cell_type": "code", "execution_count": 14, "id": "45969706", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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OZ0Z2qQ7V9SZ2GxStRmmNDnKYEJD+BZY35DZ7z0Kd+/gYR4zKTWC5MMq4E6gHzMdqIa04wZ4zzH0OCln7k1T15jr8UPMWegJbO+uq+zK9LrLmzZvXZrfB3XffzW4cDofD4fQFgbXvyHmM029Cik0HEaw4cPp6TCh5FzK0PjLMAZ0V18YHsn9XFmhAksQoFuGX2AAMqjNgdK0BJpFdaLlMnvnlUDkunRrZLhGTo81g7u49xTu5L+C2pIcgEfn4fLj+ILI4HA6Hw+lrUP0UpQNZt59JJ6TpxMIp9Ux+PRZpP3FbfmrJ616vu0EiwoEwNcqVwvreTXOfu1emlGJPhJB+TKk3IsRoYf+GGS2YrV0DzfFkBA2fD8i9czo/UN01o+raw87KjZgbfiH6O1xkcXo8cjlu3Djm3M/hcDh9lU3HKllX4OIRSvjv/wcTWA2DV0FTdB6DGxrHvrUXilx91o6OuGx/ObIBHA5VQWmx4sKiEoSWF2KTIgvxcfMxLGB0m+uoMnV8CHNHOVt/okWR5UMe6f27u5DDIad+CnuTq3hXuJPTupreLryw/19N+eIx9XRrj8kwh1PTYMLp/Hocy9agQd84RL5bKToEW1WW03ZBU2gfem81w+/c54ipO4AQa2mLbyf50JqE+DEuoMObppeIsS4mABkBcmQqDdhW6bmWy9fZXrkB/QUeyeIMKEhQffjhh27PDVSTWRpbRTYpvcW5c+eajbSIjIzste3h+D5GsxVZJVqcKWhgHXogcW6zQAwLskp1bJnlUyIhEXdTUXVtHnD6a1YfBf8H2FN+JTu9fjvZYn6bEAg/sxWzy7XwN7sbZdZKxShWdbw7kNBLxTC04+f/utA9rekLnK0XbCv6AzySxek2GhoacMMNN8Df3x8xMTFssHBTPvvsM2bPERAQgOjoaFx77bXMbJbIyclxdp6GhISwSAdFo4h169axgdPBwcEICwtj45AyMzPb3CYSVPQ5rjda90BJ1dKAbergJaPfxYsXs+dPnz7NBkDTcSKTX7JMoZFWDmjeJw1uVqlUbF/ToG06tgQdD5o1SnM9SSCRaKL5nyTg2oKWb3osaCg1h+OaNtIZLdh6ohJr95bi54PlqMk5hsnlb0J37kucOfIdzhz9EdKsr3CR5t8IsxRi6/HKLtuBVHPlpHA/jIcbu/9izeexsv4VBFmE76u22Bjtz2qrKhVS5PnJ8d/kYPwS44/10f54Oy0UeWoZvkwO7pLt3m2v1yIsZ39ucTm9RYdKU8tRt+6mzlSL/g6PZPVF6ArOauqdzxbL2NWjN/zxj3/Eli1b2NBvOoE+9thjOHToEKvJckAn42eeeQZDhw5l4urBBx9kJ26y6UhISMA333yDyy+/3Bn1oBM9QSd5Egt08qf7Tz75JBsiTh5rvXaiNgrCwyPURSNTermsGJCp2l7Wy6JWVz7++GPcdddd2LVrFzuBkS3K3Llzcfvtt+Oll16CTqfDn/70J6xatYoNTqfXr7nmGvzrX/9i+7eurg47duxwq5nYvHkzG9hMx5qE8c0338xE3HPPPdfu7eNwHGi0Zmw+XgmJzYQoSw7UZi0OnD+PN0sikN4wudmOGubfgJ+mrIFURx12D2HZxIiO7cyaXEAVgnPlIhTm5iBlUArOFelwYdVauMZ9p+pbFi+eyPJvHjXO92t87tfYjqcJW6VgJ2oTLkCQn6zHZhR6y+eF7+CO5D+iP8NFVl+EBNaWp3rns+f/1atxDmQy+/777+OTTz5xRkzoBE8Dul255ZZbnPdTU1Px6quvYsqUKez9FFkhU1pH1IOiVg5IeLlCn0XLUFSGvNRa4qeffmLrdYVExRNPPIFO87fYll8bfAFw3ZrGx8+nASat52WTZgE3u3yBvzIa0Hq4Ov9L+68C09LSmGByQOJ0woQJbFC6gw8++IAJ3PT0dHYczGYzLrvsMqc3HQlbVyjlSO9Rq9UYOXIk87QjgU3iuTXB2/R3IS4ujolpzsCGHMx/PCBEh0LN+ZirF4w3rTbgocJJkBqqcbNkOy5SHEWSqBRWiLHbPAS28LGQ2n/dllW/hPKC/0NEfEq7PttQngXFsXfZ/WBJIoZa8lB7OhwG1dXoq/wQH4gxB79F0JxVzS6Q15V922vbNVDgIovTLVDqjqJU5NLvgAQTRaxcOXLkCP7yl7+wCFRVVRWsViE8T67+I0aMaHX9JIz27t3LUluu72tNZFH68c0333R7ziHkBgKUmnWFIosUgWoqPB37+IILLsDChQuZsFqyZAl7fMUVV7ilWMeOHcsElgM65iTO8vPzWzUNpogYpYkdSKX862igotGZcThTw0w7RTYrQjUHsDe7CFsqQjF9ighysQ1UZvRm6OcYXbVJeJNLJm+lqAS20p1A8GIgfBB7LvDsJ7DFPem9X5RJh8LzJ5FqfxhlEToEg6wVWNHwnw7/bOf95fgtuvnfV09Bdg9BohNA1XggbAh8nayG/nWhxb/V+iKUsqOIUm99thd404JLaT46adONarMiIiKYSKKTeVs1PZdccgmLtrz77ruIjY1lIovEVVvv8/PzY9GcbuGxVkLvTU33/pjRyrJNoj8PCE7OXQH9/K7QfqN9+c9//rPZslRHRwPaaVbo7t27sWHDBrz22mv485//jH379iElpfUoQVsnN3q/a3SSM3AF1uZjlbBZrdCUn8P+zFysLw+DzRaHheLD2FtgwZxE4W9idEIQUC0GAmOBkATAP4J19aH4JEQmPRAUC41ZghMaf8wMrcW2E2WYOyaq7Y2oKwb2veoUWF0F9R/2psBy8E1iEG6sq4YyrPE5rbkevsjG8h/Qn+Aiqy9CJ69umsDeVZCQkclkLNJEMyiJ6upqloKiGiDi7NmzLAr1j3/8gwkmx5glVxzdbxZLY3s2jVk6c+YM3n77bcyePZs9t3On9x0+3UZ7aqS6a9l2QqlCqntLTk5uMZJEYmnmzJnsRulFik5RnZ1jBNaxY8dYLZejXo6OOUXGmqYDORxXYZVbpkNOUTWm1n8NU7EIH+XF4nS9P4KhwG2Sn3CbfD0ibFWw6ocBWCC80T8SmHKje80iEZIEWC3IM/hhxYFxMFjF2DrjIMZWfIby2t8hIqjx+7KiVo+63COIGzQChfUyyKVihOTtQGMstnNQgO27+ECnkaiv0JC7Hsrkqc7H5cbeK3gfSPjWbwGn30An2VtvvZXV5lBHGnWtUQTEtUaHxBeJKIqO0MDvkydPsjoeV+iETid5qqWiDjg6kVOqitZJw8Ip2kLRr0ceecSr7TIYDM28mEhcUKH2QOSee+5h0UAqbqdjRfuBBrZ/+eWX7HkSvVTYTtFGqnmjCFZ5eTmGDx/uXAdFD+lYP/7448jNzcVTTz3FuhjbakCgRge9Xu/2HB1XEuec/klmsRbHc4UhxGGWAlyi+xqn6/3w8OnxGCnKxouyz7BcshsymAUzKakCYoW/+wVmU4HleF4iRYLKgCSVDmUaI97OjccTQ7Kx6eR5LJT+BlHKQtQHDAEOvYsUaxFQ9gOOkg2DzYaVDUc6/bMZRYDUBnycEgyjxPe6ZL9OUuEOqwUQSxrtKHyAAl0O4lXJ6K9wkcXpNp5//nlWm7N8+XJWe/P73/8etbWNxdqUHqQh4NR1SAXvFFV54YUX2PKuxdBkD0AiirrWyBKC3kMi4L777mMpQqrzoveTRUFbkPUDCTNX6P0UVRuIUKqVOg2p+J/StCRCSdiSnxiJJOro3L59O3Po12g07DWy4li6dKlzHVSzNXjwYMyZM4e9/+qrr2Z1dm3RtD6P2LNnD6ZNm9blPyen9yipNsBkseLQ+Rokmk5AXlmO6toKrIwXLnZGBDRgbcC/MN50tPFNfuFA7GggfDATT82InQTETgSCk4HafKEj8PzPbEbg28pXEW44g1WFz0CTKsEix9Dl45+iQjoSySSw7EzUr4dO1LlIMWnBd5qMvfFVtCd/hHrMpey+Lm8rENX7qcyfS9f06w5Dka0/+df3IHTCCQoKYqKhqaFiV0NX+9nZ2ayGhVrlOT2Hp33Pj0cjZLdBbvzfffddrxwLju+SU6bFkSwhamU2WyDO+gof5cfgRF0A4sSV+GHmOYQp7NXreQeB/INC0XrMKCAg2rNVzOjrgMiRnl/b9Cj7x3Z2A0QVGfjJMg3FyZfg9qTCbv05yxQSrKVasT7AZfm1iJj9LLv/ds7z8BXusIssq82Kd3Ob+yl2Nbo6PR4c82SPnL95JIvD4XA4XQoZh5ITe53OiGPZ57Ettx4VxsGYKErHf2TrsVSyH5qqZUCMUK+J2FFA9HD3+sO0pYC+GhhyEZC7Q4hYRQxv2acvKJGlwETxE4CKDFwo3o9r8y/DbYleW/u1G7MIfUZgEZn+cnTQPaxH0FtasLXpw3CRxeFwOJxOQQmRo9l1yCkTRtukmI6hJP84/nBiKCQ2M6uzuk2xDkNFjXVAITq6bxdZUpfIZOoiIHWh+wekCJMfWiVhulBn5B8OS2A8pJoCLDRvw4Ga0ZgSounSI1yklOLH+O6NgHQHx0JUmGYxwuZll3hP82s/9O3iIovD4XQYqo/jDFxo7Mz5Yi3OFTYgSX8QQ7S5GCnPZ69VBonxsPRLXCPZggDYpxZQ0XXEYCBmtGC/4CB8ODD6GiFy5dfB+ZVRY4AzawGLEZK4MYCmAFdItuP72sldLrL6osByUJu9GbVBbdev9gYV/bDjkYssDofD4bQLq9WGnw6WwWIFdLp65GfswN/yg5CqDsZXkwSRRfVWNwUehJzmXCoChFqrqOHu46UWPNvY7UZ0VGA5/OXmPA5seRIITYRF5ocwUx1u8d8DQDAo7Sw6sQgng/t2PeBe/WHIYfKps7/FZoGkqZdgP8GHdjOHw+FwfL1TcM+5GoitRuRWN+Bs5jFsKlZDbvPDZZItuFa3BTXaCxGsFk4t8pQpgMUEhCY1N9ld9Peu30CJDNXSGISYiyGJGgIUHAHK050u8B3BZh/urJGJ2XDnvo5BIkKO1Ldc1U9qDmNsUPN5lP2Bvv8bw+FwOJxuTQkWVOpZzRV5ShUXncVPZ0qZcWiaqAaPS9bgSul2qGAQ3lB9ElDbh8AHuxjSqiOAqb8Djn4ERI3ttu31m3EXsP1JIGoEoAwCwtOYC3ygtNHQ2FtMIuBsoALZHoY791Wq5L4XMTpWu5+LLA6Hw+EMTBuGCFMOVhoEm44ftGFI0NbjCfl6TBefblxYFSJ4W0W4zMeLGAGMXe2+0om3d+s2y+X2om5VEPTyENx6bAQO1ARi76z9CJWbvVqHQSyCwmrD1wlB0PigKOkMBh80SjXbTOiv8EgWh8PhcJxU1hmx/VQ1LBYzThdX4lTGSSwIr8Isuyn3kpACXCz/GGI2QEYEhCULhexBcY1eCeNuAsKbm832NEqJFbUmKYxWMX4tC8d1dgPU1tgc5YeMAEWPbB9HwMRFFofD4XD6K2cL6nGmoIGlA6t1JpzNOoHf8gyoNEoxR5wDlf40bEkJTEMplCogZgSrf0L0KEAZIKxk5CpAGQyoQoU0nY/wqPp7+BnO4IPim3BdfPN04PZIPwyqMyJKb8YnqSG9tZmcfgqPZHF6FBp9M27cODamhcPh9C75FToczBDsDRqKDmJbdiU2l4ciBBqskmzD9YrNiBOVCwvrrgHUdhEyaE7jSub/1acH1k+0HodSnI+4+lMo0ccgWml0vvZZsjBnkEeuON2F7yVnORwXtm7dygZE0+iWzkDraO1G42E43Q/t57aOBaf7qdebsXZPCTSnN2GB9jOsrH8FB3NLoakow79lr2Gf8l78SfalILAkCiB2jPsMQTIMJfsF6hD0YYFFKKOEzsKLJXvxc1njIPgKucQnBzkPVGz9dMIfj2RxBgTFxcXO+1999RWefPJJnDvX2MasUqkw0DAajZDLe/YE+e9//xv/+Mc/nI9pWPeHH37IBlJzesZ+QWbVoqYyD0eyMjEyqRBB/sIok/uCtiK19vvGNwREAdEjBfsDSg06mPUnIS3YVwhLhTVjO0aKc/FGsRm3JgLUZ1ii4qc/X8LKavz6H1zGc7qNhoYG3HDDDfD392cn0xdfbD7487PPPsOkSZMQEBCA6OhoXHvttSgrK2Ov5eTkYP58YZxGSEiIW8Rp3bp1mDVrFoKDgxEWFoaLL74YmZmZLW4Lrdtxo8HetK6mzw2EVO29996Lhx56COHh4Vi8eDF7/vTp01i2bBk7TlFRUVi9ejUqKiqc7/v6668xevRoJkRpXy9atIgdW4KOx6WXXoq//vWviIyMZMNW77jjDibgPEH72XW/E3QMmz7H6RrD0PNFDWyO4No9xdh9PBt1Z77C67/tx+O76pBZUoe9WY0R4tT4KME0NHoEMO5KYOzlQNQwYMTlwKxHgDHXA+Nv7hMCy0YO8g5kSpiCEtjdNO0JFOoV+CwlGLsiXOYkcjjdBJfyfTSs2lstr1KRzOuUzh//+Eds2bIFa9euZSfPxx57DIcOHWI1WQ7oZPzMM89g6NChTFw9+OCD7MT9yy+/ICEhAd988w0uv/xyFnWiE7gj4kQneRILdPKn+xSZWrlyJY4ePQqxuHeuHbSmloebSsQSKCjt4sWyYpEYSpdZbi0tq5ap272NH3/8Me666y7s2rWL/R5RhG/u3Lm4/fbb8dJLL0Gn0+FPf/oTVq1ahd9++429fs011+Bf//oX2791dXXYsWOHW2h/8+bNUCqV7FiTML755puZiHvuuefavX2crkFvtODXwxXsOJVVFCI96xh+KQ2HxBqLFZLdeFG+CSPEuTDoQwDb1UJXoFgKTLpOMA0dvEwYxqxuTK/5UjF7W9gkCup7dKKIHATU5uImv+3YGH8b9DxN6HOU6AvRH+Eiqw9CAuuDvH/3ymffkng/ZKK2U0z19fV4//338cknnzgjJnSCj493b++55ZZbnPdTU1Px6quvYsqUKez9FFkJDQ1lr1GUhCIeDkh4uUKfRctQVGbUqFHoDaZ+PrXF12bHzcYbi95wPp73v3nQmYVhuk2ZFDUJH174ofPxhd9ciGpDdbPlTtx4ot3bmJaWxgSTAxKnEyZMwN/+9jfncx988AETuOnp6ew4mM1mXHbZZUhKSmKvk7B1hVKO9B61Wo2RI0fi6aefZgKbxHNvCd6BCAmqE7n1yCwRRHmopQgzGtZg+oFJSDBp8JTkB6yQ74baYRpKwj84UnBkl9r/pklgzfsLIO3jFgZhaUDpUedDfUQqZJnbEGIsB2xVZODVq5vHac6puiPoj3CRxekWKHVHUarp06c7nyPBRBErV44cOYK//OUvLAJVVVUFq1XIy+fl5WHEiBGtrv+JJ57A3r17WWrL9X29JbL6ApSadYUiixSBIkHraR9fcMEFWLhwIRNWS5YsYY+vuOIKlr51MHbsWCawHNAxJ3GWn5/vFGac7uNQZi3yyvWQWnXQlhzFqaJyPDU0CxIK5YiBtwM+xMSG7Y1vUAULtVaRQ4U5gsMvB+Lcfy/6OuKY8cDpr52PK/3U0CcOhchmhYgNyuH4GgW6bPRHuMjqg1DKjiJKvfXZXdUpQmk+OmnTjWqzIiIimEiik3lLNT0OLrnkEhZteffddxEbG8tEFomrtt7Xney7dl+r6UJXtq7a2mq60JV1l69DV+Hn516HQvuN9uU///nPZstSHZ1EIsHGjRuxe/dubNiwAa+99hr+/Oc/Y9++fUhJSWn1s3inYPdhttiQW66D6dx6hGjz8FNpGrblaZGtVWK6uAoHAm2YFiskzCamhACnpUIBOw1oDoxpNA3tjvmBvoBIjAapFFqJDd8m2NOcsStRp5XhbGYg/KtMGD6orre3kjMADEm5yOqD0MnLm5Rdb0JpKZlMxiJNiYmJ7Lnq6mqWgqIaIOLs2bMsCkXdZiSYiIMHD7qtx9H9ZrE0zh2rrKzEmTNn8Pbbb2P27NnsuZ07d6K3aU+NVHct214oVUh1b8nJyZBKpS3+vs2cOZPdKL1I0Smqs6OaOOLYsWOslstRL0fHnCJjTVPDnI7juGjZfbYGZbVGhBqzYSrcga+LIrG5IhWhtipcIdmOqxVbkCAqR03dBADThDcHxQJTbhRSgMHJAP0+0b8JjVHm/kaVsRxrkgPdnxSJcC47AJt2RyM2SstFVgcZqjHgXGAfTyf3IFxkcboFOsneeuutrDaHOtKoa40iIK41OiS+SERRdOTOO+/EyZMnWR2PK3RCp5P8Tz/9xDrg6EROqSpa5zvvvMOiLRT9euSRR/iR7AD33HMPiwZScTsdKypYz8jIwJdffsmeJ9FLhe0UbaSaN4pglZeXY/jwxu4tih7SsX788ceRm5uLp556inUx8nqszkWqzBYrqupNyCnTobK6DiGWUkw0rIfK1oBjtf64/NgozBcfxVvSDzFPchQSRxpMIkew6zmQolaBJLTuBVwaKvorBqsBp+oa67FcGZZSh/O7gPCyWmjqpQj0926WIaeRwXW+I7KkVhvMYt/21uMii9NtPP/886w2Z/ny5cyi4fe//z1qa2udr1N68KOPPmJdh1TwTlGVF154gS3vIC4ujtkDkIiirjWyhKD3kAi47777WIqQ6rzo/WRRwGkflGqlTkPqKKQ0rcFgYMKWfKtIJFFH5/bt25lDv0ajYa+RFcfSpUud66CarcGDB2POnDns/VdffTWrs+N0bnYgIbGZEKg7j5q84yg0SzArWbDOGBNYjw2qPyPVlt/4RhJS0cOZL5TT14pE1bynBsyh2F+9A0dq97b4+uiKk/i94mucsSbghcwHMWUsFcFzupLbMqrwXprQsNQdXFBchw0xwignCXXau/WR+h4iW3+1We1m6IRDnj8kGuhE1J3o9XpkZ2ezGhhqlef0HJ72PT8ejZDdBrnxf/fdd71yLPoLOqMFZTVGKOVilhK0Wi3QF+3DnvxabCgPQ4i1BpfK9uL+mYFQOy6Ns3YB5elA5DDBz8ox8sbBoAuElOAAiF45eDvn+VZflxt0WP3Fy5DCimv8n8W8K/Q9tm39hYsLNfgpruVz3h0ZVXi7m0RWcr0RS0rqneuP0plQqvKuTtgVXZ0eD455skfO3zySxeFwOL2ERmvGsaxqVNRbIbPpUVnXgNKs7fi2OBJ1BisuFJ/BB5IdmCE/DTFs0NUsB8LttW6Jk4DkacyKgSGWAVYT4B8DTP1dY3F7P0ZrrsfZ+hMY6j8aGnPbo7eMChXyo1ORUpKBidXHoKkfyVOG7UDkISazokCD7+MDe+bz4U5Kgwkjaw04GKqCRu7eXOQrcJHF4XA4PY3FhO/3l2G0YRtmmxv9zl7JisOpPA0ekXyPJYqDUIlcumUDY6CSupxmqJB9yMVAyVEgchSQPBew2UeTDACBRawv+w5lxmIcqPG+8SV30DAmsi6S7MMLWdMxZQxPGXrDzZlVbERMqdJdNkTre66uLdQoNEAtKq5Dnp8cI2v1kNqAXD8ZF1m9CTlV06Bhqh2hESGuvPzyy3jvvfdY9w6NC6HZarz1nMPxDqqP47ROTYMJpTUGxIQqcbagHoUVeiyueweBVUq8XByJ5dGhWBwhnOivDj6JB0q+cHdZJz+ryCGAsjFaYBu6AqIEe/dg4szG5ZvYf/Q3TmgOocxQjPnhy5jVCQms9pKTOBTmXb9guDgPgTVcYHkizGBGnNaEArUMVQpBVMlbKSwaWaPHqeDuT0snNQgXHYMaTOzmYEyNHpkBCqj1EdAqy+FLDIhIFhVIk7M4OY67Ql1S//nPf3Dq1ClmN0CFu9R+7mqgyeFwOG1BF2kmiw1yqV3kWEywlJ3GloIQ1FmETqxTuXVILf4Ax0oi8WzJaMhMdWzETYNOA0QIpq3RYcGCj5VfmCCu/CMbo1KjrwVoBp/VDJHruJsBxO6q39i/yerBiFUKti/txaBQoTA6GUklWbgmeCeOYFYXb2XfZ1lRHdQWG4obTPihSSowyNR8kHNqvbHbRdbK/FpEGBqtfFyJNFhwU1Y1tqqWIifm1zbXJbX1XKR3QIgsGjJMkSxP0MgQKqglTCYTa1PncDic9nAqrx7ni7WYNjQYNBav4fgPSDEcxjxIIbKZ8Xp2Ar4riUCpdiiWSvbjVfGHmK44DbHIBotZDlhuAiRSQVCNWdm44ll/EsbekKgaIClAb9hU/kOn3p+TOpyJrMSCDBwZw0VWU0hgEVF6M2J0JgTZ03SEv9ldZP3odxcmWt5tc5//X0YV3ulEQTwJqdZQWG2oF3s3vHyldQh+h56h12PL1B5OjtPUSk5pOk9dSm+88Yazo2jixIlsQG1XQBYCf/jDH5hfE30+pQsHDRoEX4U3gvY8jnE9nuDHw3eORW9DAgs2GypPbELWiUOI1go+TVKY2Xib4rIK3G/6AAcVd+EF2duYKTnFBBbZLkhSZ3he6dgbAGUw4BfBBVYXk504FOvnX4GfLrgO9Q0DItbgNf4mi5tAWF5Yh7nl7kPqw13qsJpOkWgJEa3PZ8wMBlAki0ar0Owz8kBqOvSX+Oqrr/DAAw8woUWO0+TyTR49NAjY4SROwov8eZpCY0BIPLUEOZCTyWVOTg4zuaT1kuijtGFTaP2un0EWDj0FpTJJgFJ6k4QhrxnrfkhAkckm7XPyi3I4z/Pj4VvHojctF4wmK85lFiC2agtSxXEYqtuG3ypCsbYkEnuqJmPXzAMIkgvC8LbA/RhUtbtxdiDVWEW411lh7pOAthzQVgBhQwB583mSA5kKQ2mXrcugVCMjfjg++z4ZxWVK3HP9ed5l2A5cs20LxoShyMu+g5X5GnyTaB9z1EtE60zw70Hp0+sii4SNq7FhU1566SXmJn3bbbexx2SKuH79erz55pv4+9//7hxy2xE2bdrExr/Q4GLioosuYjVZnkQWfRaZYvYGND+ORpQUFBQwQcjpOWjwMYl5V/dyfjx851j0tAu71WZDYVEZzhXUYaJhAyaZC7C/JhDfFdvwc9lUBJhrcKlkJx6W7ERG/nRMHCSUHwxKSQQUowVx5Vpn5cAxQzAoUbhxUKwvQIOlHkmqVGyp+AXZ2vNdulekEhskYoqsiHAuKxCTeZdhhzmkXAJgT5vLhbukHTuDVhQAtc3T7MnWI2UUgaPIXF0PljT2ushqDbp6JQHVdGQKjfiggbWdhebl0XqoJouiRVS39X//938el3300Ueds9ockSzHvL2eGlNDrtpUN8bpGUhM0Tw/T5FDfjx851h0NzqDGdK6POSf3ItgaxlSrKWg0dgHagKx4sQkaAxWVmf1jngnpirOCGlAwngEwBJ79CoIGCTM2cTIK4GYCYChDqg4CwTyGY+e+MG1y7I7sNnwB9UajJSfxJ/P3wOMQZ9BbPGDVSK4/3cH+xVLUS2JxhLth14trxV575MlsdpgaeconHht0/Nex9KO88saetwf3qdFFg0PpsHANPfOFXpcUlLi9XpoXMjhw4dZapIiQjTcdvLkyZg2bRqbhzd+/Hh2dUwWD64jXVxRKBTs1tsnGrpxfAN+PPoX9Xoz1AoJNDnHEVC2C/WDLsdvGUCi6TSLWvkbZKgwyRBqz+IlKerwqPVdLFYchFLkchKggcwRQ4Hw1OYfQilBmTBIG4oAIG5yD/10vo3JaoTVZoVYJMEHea8gWNp9Y1mciEQYb05HkrgQ46tOoK5+KAL6yCzDoOr5qA7/qdvWXygb2q7lxyYHYJtLYOmy/FqcClKyIvlDofbfdzsymw0WL6VOoNGCidU6JLnYNbRGVJAcFV74bPUkPi2yHDS9eqUajfZc0VJ6sSWee+45duNwOAMPSgFKJSIUVOqRc+Y4jCIVFui+ZK8FHX0F0yzh2F0qxislI7GrKgjLg7PwyiShCDhSZcN8v2wo9SZ7ndVQe52VMFetGSJJo8DiuPFB3r/dHteYe8a/ioxJk8qzsUyyD69lT8bk0b3vm6XQJ8KgzGt1GbFVAYU+DjZJFYwyXZd+fpjRgrbWaIH7xX6QnwxwEVlktTCvrAFUkai1RaPUNpdc9dhrc8oanLMH24I6BofUuRjy2qGz/wb1TQi1FGGCYRPE7JOACYOCcKqw5fXp5JFQGcuAyNHoKXxaZIWHh7NoQdOoVVlZWbPoFofD4bSF4wKtrNaAXWeEMSwBKgkk9UWYr1/LHpusIuysCsba4gg2NzDMWoUVkm14Sr4TifoyGI03OYvv/QdPFcbZ+LfSARg7CZDIgbgp/AB5wGLrvehRTtJQzNq7DmPFWahNNwA9d+5tc0Zfjn/rDR6BNQvYv+XRn3bpZ88ta8C6Nq4FLCKaF9j2cROTV26dGpXUJesyCsdbWg6l2NAgDma38YbNzmdlbWR6MhJvxugYCWDouS7HXrdwaA36IqPOwY0bN7o9T49nzGih7ZnD4XBcOJRRi9+OV6K42oAfD5Qht0zHBJbKWocIcy6MDRrM1zXW/9x7YijuO5oCVcUpfCT9G3Yp78fDsv8hTVwEudgGubasceVBcUBAk0J2lT3VNfgiYPpDwPDLgKGXAP78wtCT6N1RuanXfl91Kn8U2I1gx1HKsBN2Dkpd19j/SE2hkHphdSCy/+eJQBcbhvaisntktbqM2fuyFZOoa0xKt6quanMZmViGWMkwiKxSXJXbfJZlRJBKSNP3IL0eyaqvr0dGRobzcXZ2No4ePco6/qiTiIrNV69ejUmTJjEn9nfeeQd5eXm48847e3W7ORxO36ChNAMLdF9DV+4Pq/pmnD+fjTmGzQizFiFPq8B3JZEoi5MhUiFcYa9W7cGrijVQiIQrddZ/RmKKOgPDBgHSViIMji5BYz23YPCCrRW/Ir3hFHoTShkmlufg+pAd+FExqMPCKKB2OoKD9SgxtJKv8oDSYoWeHGzJc6puPNQNIzDOuA0ZAUINcIgsDNWmyvZtkIhO7e2P1oyt9i71OKIyALWiaFxAA8o9oBMHQWWtZffPySd36UDqtpgXvhSbjlVCanVPQRNRwT1v/9LrIuvgwYPMkd2Bo4PvxhtvZHPRrrrqKlRWVuLpp59GcXExRo0ahV9++QVJScLVB4fD4XjCYLQgv1KPOTphXqnKVo9LG15DtVGKn8vC8V3xaBysDcRYUSaSLXosHyxcnU9JVEBWZgHUoUxYiSIGe776nfF7wYm9Jgc4/a0QrXLAPa5apdpYiUO1u5HZcLbXf3mzE4exlGFSfT5C9NWo9/fONdwVmSkcIoghE7fvJD6jvAEjag3YGhuKKutMSBsGwU8pQVh9YyQqUBrcosgakeCPMg/Zt44mwzzVP3lCaZEgqHYuYlVCdNY1nmYdsxrK9J8AvXsk64hiAcYbhLFIEXozypsMmvYEDX92QKlBbwhQtbze3uhO7nWRNW/evDads++++25243A4nKb1VQ16M6QSMRQyIRpgO7MWosL9oDhAmn1Zo1WETeWCUejWihBEoRKXin/Dv+Q7kSouRlUdmTIIfn1ypRqYeK1gFOrypWxVR0GsdTHEpFosIjgZmNFo78JpGYNFD4NVj/8VfeAzu0mn9mdDo41yBcSdnCowJXg28nXZXi8/OvVaIHsLFiZeinppGLJKdEiLUQMuQ01sbUgmP4k/8xMj/CWBqLdokKRKwUlTVru3v6VPqhZHYo9yBZZphfE5TaWKXNzYeS+OHAGcb975WCwZhPEQRJa3UkdmFbZoh/+1MKKxUEzUxj6hbkfrGfeU5kUht6A36HWRxeFwOO2lTmfGrjPVzHKhRqPFWMNvCBs0HkdqIzG7ZH+z5XUWMZ44GY/F4gP4TLYTU8UuERSxFKHUHUUXew5RRb5WVOCrjoJk/I2AxQgxRad2/YvdR9JsQNm7ztV9jSpjOdYUCR1mvsaGBVeiulaGU+eDEBZkxPC0jk30CFdEYUzgJBzXHPTuDeTsTzcSSADGJNsjplPvAyo/a/FtIlujgAiShThF1sqY65Cny0aaajBOFrzWoZ+hhU+EQdzy+JxQeQQmBE1ngq8lDCJ1hz9dKw6CvYGQIZOKMW9UKPIr9BBnNleHqdFq1FePpTil8zl/qfdeXl0JF1kcDscnsVopUtWofShqpdGasetsNfRG4Rs3vOEU5hjsFi3nziBNkorz9Sp8WxKJHK0Kb44RxFSQzIL/+b+AQSYX1/CgeHudVWqLdVaS2HGAKqTxifm9M/WhP3QQ+qrAcnA+NwA7DkQiIaahwyKLIK8vB7FaE4rU9ohnewiIgbJaBb1Vh0RVKvJ0QlRKIVZCVjMKYpvnYnK11B/DAkYD1q7t2AxUS7FwTBjQigf45BDPg7aVMjH0JqtbVDhOa0KZF+nClqB5oCH+MnYDiSwPiCiiVud9VLG74CKLw+H4pH/V+iPlLFLVoLew/EJShIp1CBoMJlZnFWYtdi5fZpDhh5IIrC0JxKm6GIwXZeBSySbk1qQiKVg46Q1KigOKKu1+VlRn5cVswMCem+rQnzFZfX9SxbCUWpTt0UJRYmRDo/39vBcqZGC+YLTQVZqqHoqjtfvY/XnqSfgcx9j9cYFTcFTTPMraElfG3YwyQzETWVTrldVwDgsiLoYpUowNRyudhdzpnqbLdLGvuUQsYkKrI8wcHoLNx91ryiZU63CkiUlphxFLAIuHbspeqL/yBBdZHA7HtzDWQ5++HSpDAkZrtsEskiNDNg7GvHoMsRQh2dzYjba7Kghv5sRjV1Uw4kRlWCnegP/IdyJFLHjrmepnAcH2eSlRw4Vba1++UWOAlAXCF3dDORDaNW35A70OyxcK3NtiSvEB/FHxCw5ah+Dt7DswaVS11+9NilQJhpx0UmWdfQLyhDlAviCyQuTtG5inlvghWS1UFQ7xH8lubJ1K4OLJESyay4q8PYqsrqbjgiVQLcWktEAczNB4LGjvNONvBk58CQy92P15ec9aNbQEF1kcDqfHqaquRW1RFuIGj4JUJkV+uR6R4grI5DJI9/+b1acIVosC0RYh7G+2koO0GGqJkC6kuYEJtYfxlXwHJovTG98glgJhKZAFCgOaGS2Jq5GrgFP/E2pjRl/T+Dx1DnI6zfqy71BsyPf5PZkXJwiaSeJ0/O28GRjV0TU1KgipoznCLpq6CplEDJmqB2wuqQ6R7Egihjd5wdYu2ZUQrkJEoBy27Y1yLVpnQolK5nUkjWqyTslnYKRxNzBsZeOL1Hgy232+McObSHUPwEUWh8PpfqwWITpEnUp1RkiOvIcUawXOVBfjrHQi5DYdLmp42+NbqSbrRJ0/c2D/sTQCN8QX475U4aQ9L6QSi2UfQQJ7uiA4XhhtEz4IkHjxBa4IAmLGA0GJgIsrNafr6AsCi9D6BaIgLAHxlfkYU3ES9Q2D2pUydCAXN9ZLiSHGLYn3sw7BKmNrU/V8A9cAE5vhTAX4NdlAhBBFc6CSSzDPnh71FqVcAo0iAYH234fBdUavRdaktCDszzYiePBiIHiJMEGhDWTMlb734SKLw+F0OSazFZV1JkQGySHWlQP7/gMkzoTFakNw3nZnC3a84SQTWQHW5j5A+ToFviuOxNqSCGRpVZggOo8HJOswrKQMSJ3NllEqaVzNaGEmYFt1VtHjgZFXAEWHgeBEQKoCpPYTojqM/xZ0EXnaLFZLRN5OSknfmtWYlzqMiaxlkv14N3ucW8rwyrxaNPiF4Jew1m0e/KT+mB++FFKRnDVryESCIIhUxCBWmYgifetzCXuaq3Nr8GWS+wVGTIgCw+L9AIVMSKE3ISJQBtjTox5xieC5Iha3M/pGHbwxgxEcHIgLxrfvra62Er0JF1kcDqfL2X++FmW1RgyJVWNk9QaACp9ztjYZKwsE2KqRYjqGFNNxt8jVTUdHYFtlKBJFpbhM8gtWKnYiSWQfZ0PnON1oYSgzkeLFiK3wYcCQZYBIDMRN6soflWPHbDVjX/V2nKw71Gf3SVbycMw4sBGTROn4b0NjsVOAyYJQowWh8eMAHG72vjC5S1qa1VA1zzWKRWJcEn0V9lRsx/F6oTC+K0hWD0aRPt89HdmOom+/sIlwtOjZ7G+bNrSTUd1RVwPHPwMGLXZ7WjF6JbD/Fe/XE0gdwJeiL8NFFofD6XJIYBGFBYUYqW19bMow7VbsqQ7GvDCHVQMwS3Qc98m3YKL4fJM6q1ShO5CMQlvAIgvADulFqBOH4JLBWiAoSYh0cbqVnVUbca7+ZJ/eyw1+gSgOj0dMRQGuDNyDUxBGwkgcebTkeUBec5E1zL95tKclJoVOgxE6pKgHd8k2jwwYjwBpEKIUsR16v1TRNbMF3QiIAWb+sdnTssCBN7+TiywOh9Mhiqr0EItEiA5pHpan6NQ4w5YW30tGzvtrAlk6kEbcGMw2fDfxMEaECK3+KyMKEF5PAksk1Fk5/Ky8qLMSTbsP8mwTUqnlPDyRH91upt5ch8M1u/u0wJodtBRymRSbK35EdsowJrLii7JxaniTuXv2ukJPUSpvITuGueFLOrvJbp/t6ELs2Ap6fp5fj9CBuYfdARdZHM4Ad07feboag2LUGBLrufuprNaAk7n1GJ8aiJDCdUBVBkzj78S+dKEl+5LJkZBKRMKYm7JTQOYGjDOUe1wXGYXSaJvvSyJQqFewOqs/SX7GcsVelJdOAkKEAtvw6Hhy2AEi0gB5+7qyxAp/zBjW7l3B6QAWmwVrCj+A0ebdzLveRKkdAr3apQPVDrmUjwgZxerIiIyUUagMjUJRZBJzgQ8Jcvf4ujDyMmYSSsOtfZkVBRpoZGIciomBxtqaz0NHxIhvCJi+ABdZHE4/xGSxsrZnijS1xrGcOubGfCqvnhWpB9uLWUl8HcyoRU2DGTKbHlZIsO2EAZc2CJbPsp1PY7okCbXiCOj0F+Pw+Qo0aA1Ypv1vi5+1rzoQVx0agwRRKa4Q/4zLFTuQ6KizovILUwYlP4QHEikQR2MxvIS6jWjcDafb0FoaoDHVQCFWMM8nEtWf5b/ZJwQWodIN8iiyPM0y1MgC8MGaVFTVyPG71ecRLLcBIans9SS14J3m6yIrWm9GtB5IG7EC77YyoqfHUUcAWs8XYU0ZavcG6wqYDUQvwEUWh9PP0Bst+PVwBUbIMjFEdBaiUVe1GA1q0DW2qG85UYWV04SaiaPZGiawgixlWKD7HBZIsFF9o9t7oy257Hb2oBgzTYchReO6GsxirC8Pg9kmwqpYQUhNDKzFF4q/Y7rohHudFdktUJ1VUGNNiQEqKKBr+YdMmAHk22d8yPy6fIwIpxGz1QQLrPg0/w3nc5fH3IDdVVtYRKcvEFy1qM3oi8RlHI5MZoNSLtiCnMsOAKt3T7sVfQeRWzqxXW7zdjHZpn9WRwlJYSKrNcmzrFADm0iExOSuqVsjmHFrL9ADbmYczsClQmNktzZrB8z6LvvMvAphXUOrf4So6jxqjv/c+GLmBuDcj40fbf9XbtMiyXQSMBugL89Baulap8AiyIfqQu0HHj8v1pLBBBYZhW6tCMYDJ4dg0vap+NOpQdiZWc9mEBKUUpwSaWyssxqyEJh6s/AvPXapazmumOu8nyMdBYy4vNFugf1wlwgF7WwDqDuKpy+6gz1VW/B+3is4UL3D7flvij/pM/5XhNwY2+ZvSKgsgo3EIcsFkdWKvyo+xk7F/ShhpYH2jow+ytTQxr+n5jTuGX+aMTj2hpYXHXM9EDkKSCXR2kFEbe/HBJ0ZidrOjmLyje8EHsnicLoxZbfjtOCzs3xKZMvh6jPfAkUHgWn3A/7RHf682gYT86ai1J8rxroKWC1mZBRpMCTbXoyeOAu5dUoYDQZAJMN03fcItZai+lAxQupOIY7qbUzemfnl1xrwdVEKMwqtMMowVpSJRyQ/41L5HgShHvr6q6AMFHyoJEmTgeSprfpZHZfPhVHUKKhKYy9Ccmyw4Nez5S+Cdw4x7kagOgsIHwoU7O3AHuO0xXHNQfbvqboj/WpnXRV3K74qfN/tVEyeVosjl8Nqs7Ii/nh8iwBRBUZXnERdQztS1z5HG2LDBlwbeT1MB1+Hii6IWjP6jBwp3DqDSjAxjdQPjOgzF1kcTjdhMtvcBh63KLJIYBE52wBK7XWQ305UeXxeZjPCsudVpOprGp+0mlB+7hiWG9bjkGIxE1hEcN1p5yJRZu8m2H9VGIXNBTJcJfkFVyq2I1lU4vLhaihNVCBvN/tsxXqBoLRkrmwEQi2Nw5+nDLaLKvryn/8XwJHWIVsGxxd+O7q7OAOVxr/HYFnLbuWUXhseMAYYdy2w8UksE+/HoeIbgSHoO3gZdQsnoSMFAtQxwMgbhL+x7o7YJcyApqYa1qoCXJpfjO8S7H/f/RQusjic6mzgzFpg6HIgzL0VWmewYM+5GiRHqpAarW62rwwmK2QSEcQeBJTZniZzOKArZB0TAiTQskq1zIWZ6grINZ3sEyKDFF6tM4QElIds5CTDevbvRMNGl2cbt1nR5E3VRimzW/iuOAJ/TMvF1BChu3B14GE8rRTSiq5zA1mdVZM0YEuYpv0ev57Qw0JfSU2+5CnC4KSlq2yKah3/LzDkojY/i9M6FMl5N/fFfrWbwgNlCA73x25tOyI9I1YwkTVNfBofnioBWsu49VFWFGqAwfZ6TZrd2ROIpQgYsxz5O37CSENBN36Qb6R3ucjicMrPCN0uZSeaiazMUi1qtWbWhddUZFEH3qZjlQjxk2Le6OZjWcwukaxdZ2uQEqVigozEkZ+yud9OTYMJ/hYrpBIXUWI1o/LYBhTpYnEqLwbjUwOY6DqRK6QEF40Na1bQSRGo8YbNrR5Xi4WKeiWNM/9a+FrSW8TYVBHKhNW2yhBYbTbMFp9AZk4xpoYIU+4HRwcA+SpAHSoIK/KzkrbPe0cmlcEiatyWiKQhsJ2XQkSdSN7AhsQ+1qfrZnyF8/WN0cz+wuwRoSjWawGPIqsFQpJhjBwDedlxRBZuRFndfEQGdINxZy8ijZ4IxE/t8c8V9cTfqTezS3sALrI4PUvebmHg6MhV3ftHQMXkp74Shv6mXej+mrEBKD4CRI8FFAGAxSA8b9K2epGrM1rYYFQHBfYC8+oGD7UF536EukED2BayE7/WYHHWSoX66zF3VGjj4GQX0ZaX34AxyYJ4IfRZuxFVtQPU87fW/wEcyapDiFrECtWDLOUw7/kChiHzofALwFztD8iWjcVEw4Y2d8/2E2WY6UFkOag3S/CXc6lYVxaGeosUw0W5+JPkF1wm3YVQaGAx+gO21YKoIYPGSdd37ni6mDxSgfyQhBAg9skWzR89wgVWp6JXdeZaBEqDcajW3rXZz3DtHvQW+ZjLgE3H8Yf4MwhQ923TzkF+w5DZcNb9SZrl2UtY7UO2lBYr9K4Xlv0MLrL6AhYTUF8sFAx2pnW2tyFBkble8DOKHtf+AkptJaCtEMLabZ1QddVAybHGdn+FSy3Q6TVAxTmg9Dgw5e5GfyW7yCILhDqdBRFBcreUX6XGhPhw9y9qhbVBmLunn99YkG2zMnsBuuYNVo1GjcR9lERtnRbphXIMifMHzK4t8DYWzRLu2oDCfTDn7mn2o02q+gz+ZhefmbNfsn9ItoV6IbAIEldl0mTEm9OdH1dqkCNaKewLP4kFZ6tFuBIbcY1yG4bAZaitVAlJeIrwe+mIWHkpsPKVY5Ggtx8XVzydAH3kSnQg8Fv5z8jUNjkB9zMi5NEY7DeCjaDxGkoZbvoLQsv2AfpqGvSHvup8LhH51um+WDoIo407fKQHsPvwrb0+wCAzP4+hU32tEO2pzRNudcXCiZuEwtT72u2A3VHohF9SbWBO4J5qjtpNXWGjoNEUtl9knfwK0OQDg5cCSXOE52i/FB0S0kV+LqklV0uEinT3ocAksNg22FvQ7dvUUKeBucHEUnHlGiNmjwiBzmhFmKUAk/TrITqtAlQqof7HPgtvqv5nhFmLgGP5wNTfNYtOKW0Nbj9CgLUKC7SfoTQ9CYj7P8CkcytQZ78SZoOwbWe/h6ukJlNQwk1gdRCxzcyuJPN1Cua+/l1JJOsM3D97P+RiG9OwbwZ9goRa+5w2qqsKTQGiqM4qwfsI0+CLgOpM1s1Ix8iQXQRkexJZ/fdKti/QHwTWiIBxOF13tMXX6Xt2QUQ7a/ZCU4EhF7LUYV83u50cPAvpPjT6yDpAHKS4yOpFgUXt/VRYPX1YCAJpzpqjCPvIB83MFW0QQ2TQCO3+5FXSzakRSo3tOlMNo9kGf5UU8WHNaxGySrRMjExIDYRMKvzBUFF2VZ0JVfUmKGViJEW6DOatynLerSnJwWFtJWaPDIHM21CxQxSd/xXWiJEQq8OAqkxhn4QNBsbf0risIwVIVJ5zF1kuUNRKaf/ylFi02JleA5WlFrHmUpRUjWavz9V9CzGs5IUAGO1eU8NWsPcwgUXU2f8lrI3+LnK7MGLLWgowR/c1ux9jyWa/A2Z9A2QuyybW7wG27gLCm8+FWdrwLvs96CxUwL6ruAKvFEhxsFaYzTZUlIf7pNuQUxqOITFCujIhOQXIzAcihwERgwFZB+pRIkcASbOcD1ldm6NpkTopSTgT7UkLcjh25oYtwbZKoYFjVugi5nOltdQjT5eFjIYzXbOfrv0KZ0s0+HZnIUbF2bB8bMcGMfcaMqGW1F/aWIbA6Tm4yOolKjSCpxGx/XQVZg4LYbU2TDCQwPKLBELTgKBE5BojkJlfiXm6LyEuPw0UHgDip3TbttHJ/1CmhgksokHfpG6n8jzMynCczDPCYgWC1FoMi/eH3mBCwcFfUW0NQoFMEAkBailC/e0ygiIadlT6EtRKTCisNLDOPQaJnfpSIDC+uYhsIjqrjvyEsBk3QETChzA0mc3lJrLOC9ElsYR1+bkmocgZfalFx1J7JHK0egsm6dchzFKIkvws5KsvFASWK2UnnSLLDV0VUHEWCBvqfErhEskap//NfROtQHFZDRwjjOnzU+p3Cg8qmp8ghPopzzVU3vJ1USQePZMGk82GYIhxo2Q9blRsQarVng5sGAFgnnA/IAoYd6V7So+MPwv3I186BAn2VGPruB9H94CoywMeyepxivUFqDVVodbsYu3RhxjmPwZqSYBbpCpOJfw1WWzmNkVWoiqVibGRARPa/Kzt6eV4Z3sWpqeG9R2RRRF3ipQ7yhh8DFG/TxQKcJHVS+SWC2ki0hLkp7TzTDUW+B+FH9UcyQOASXfCJlXidH4D0osaAEkkTslnshw20n8SwtckxLqBjGItymuNblEtJ1THdOILiEVSpMqmIUM2ARklWqTFqFF4/iTSdHuYkWSV/0hW7J1XrmMiq7ZOh4DqXGcchkamqGx1yC2TO0WW/uw6KIv3wDj8GsjjxjQvVnchWJeBc3k1GCYxNRdVtLheB2eZKr1WkwOEDsKRLA2aylMrpefY+AMrpDAygUVEG05DIaZ5Gk0w1guirYkOtO19FSL6rKhc53Mqm1DsHmgpR6DN3cfKaLbCZv9sYdnWhri2H4uNHLuDECwzY1SgsP/GBNRhlugYblVuxnTbMUG4WR3pwGShM7AlKDU7bAXWV4+E2qppJrK0khCoLYL5qhNqPGgRd5FFXZrURJAQ3r86uHx1VM4PJV+grxey04Dq7Ip8FNWWQl/1b8yNn4txkfQ323akf3HEClQYSxGpiGlz2aUjIrBl3Tcw50hRXjceEQEK+DweouG+xMIxYcBeX/Fl7z4GRlLUx6CTa2GlkEaaMSyYebgoTFVQFm4XFhhyEawSJQ5naQSBRambcCUTNKWSRCEddeLLbpnXVllnxKl8exdcgBDzoZSmE6p/stf0jDLuxFzdV+xq6WRePRQVQj2EzGbA+BQ/ZwcepdxOnToLsc0Eq1QNszra6d9EaUWNfX6epUJIJ1bmnXHWqzXuNGGbDGI/NIgC2BiXmvzTMBnt6Tize72E0dBkphqlDAEUVhma/VGLqIDbjsKmg8kl1uUYK9OMJvue6guYwHIIUTsqqyCcJrh5Udm30WSC2Nooslrq9GsPtNtOavzwbHoKpu+YjOuPjMbbufHO14f4a/Gu/1uYZTssfJ5fOJA6C5hyIzCcak8ccTUPUNpPJIZWHASbh8iTauJ1yJKORokkWXhi2KUe0totf6XOGB6CyWlBGJ3E0xrdzSf5r6Ovk1uTh/s2PoCfT23BkYLTeO/Ee1j962o8vedpWFzqIgepPYsNqViKaGUcMx9ti4RzH+IL+XO4R/Id1pFnFqfTSCUDw26Fi6zuhsK1pSeEbjc7JLCoaS1AJUFEoBwzhgZjimWr0PElSUSeeDD2ptcgr1zPrsfGpwZiUloQkqLUOKRYAqNIJXQbZnjXSeYNgvdSHXacqmYn6thQBYZSwbvNDK3R2hhNqspgd88qpsMIBRNKQ4wHkF9SgxhzpjMMHKG2QSUXw2SxMY+oYKNQT6XzS4JRLYTbI825mK1dA9OJb1mURGmqZM8rdCXOSF9TkaWHGsVSwcsq1pyBhgadx0iWxSg8NjniWY5id3t9mytim9GtUF0GL2ZmWc2Oph3h81oICsdasjDYeBAhVmFIsitmowlWk/t2dxQqYP9PdjwW752Ai/ePx3t5caCRidfJtuAe3TuNxfgiEaRxo4HYscC4VcD4VUDsGGchvyfMkCI/4Vpg0AXO52weIgUiVSiOKRdij3IFtgTe1m7/HblUjPhwZcvO+JwO2zNUGyucFy70r8nW2blwPccl0VcjVBbu9lx6WTZe2P0acmpzoZDKMSp2CJalLGOCKb06HQpxYzR0YcTFnd+IoULB/EzxSWw7KnyXiOx/A+3qVuQ0gwZBu9Lfxu3wdGF3QJEROqmXHBUiKBT1IKdqcqOOnYycMkEYUJqM6ggk5ccQbMhl3V5HFQvQkCVEP6gefMrgYESHCKHpUYn+rNvvkHURput/BPJ2CB11VCfT0ZoWiwmGU9/DVnEOJcrLYBOHIi5UwYSdNf0XXNSwDwdA9UdhQi2SzQqTKhpnJFNRJ4vG5Pq1GGQ6yhJtrpEYiuokRqiQk1+G+OqjSKbhw1QfrkyETCYFlWKmmO2dLppC2OpmQQLhjyvQWoHdORrEhirZiddNZInUKJENRprpCGLMWajQBoAlpGgf2+uuCLM9wlUqTUas+TzEDWWwaas8CgSJywnHz+pdfcqe0+XQSwIwwrEbRVLWHegJivh5wmQ0dJnIuv3YCJytF6KHYyVZeEi9DjMsByCjSJkRKNTMR1ywXSzHeUiBtoJFJIMuIFVwcm+tM0gsZb/T9PudmtxC3YrLOiDm13jdDQmqLRW/sPqkGaELIIYYO6s2oS8Rq0zAlXE34+eSNSjQ57Dn1DIli1ZNjZ2CUcnJUMmUuCP5j1gxaAVGRYxCgCwA9dZaNvS5S4wvw9NgDBsOeeUZhOZvREX9XFwWsxqHa/dgSoi905nTJcwvdZ+92tfhIquroHoVGlZL3kwkRlwtBKi7gzyYzqyFqeQUdIa5EEn8kBCuEiJd6T+zxUSp8xFui0ZDuR5yqQjThwYjNKDRAI8Ex9iUAOxPH4Qs2Rikkj8TFcoX7geGXAwEJ7Vvm8kq4vhnUGiE0QZJtiwEDk11ijpb1WmIYMYY7UaYjaMhtafBSpXDKEQEBbXzywZBUp2JYaZ97us265AYEYCo8z8hzFrsFEiVijT4S/SOSXZODPmHWPE5QalApakK2SX+GBpQJYhWR7pQpIYlMBE2rRgyUg8uEUKYGoT96R8Fm1286EQBqBLHItxaiMxTlM5sYhthI3nYeOXkb21SU9QCdVoDGlyGGNPMvbaoFwXD39Yo4swmY7MIXFvoyIG9PBS/lIXjhRHp8JMKwmlVZD4gSselom0INRaz48NQBCA9YTUyw1chziz4abUXT1Erj12OEhnGpUgxNM4PakUL+4NqtMjOgS46wocDQUlAII2j5nQ1Z+tO4EDNDmgtQsnB7ir3xou+THxIDP4w8z7MiZmH9eVrnc/PiJvhvD8uqGudzJkx6ZbncKF4P9adLMH105JwQeSlXfoZAwqb2z9OAk1NGo36OFxkdQV5O4Gc7UKLvwNFkOAoTqab/lFA3i4gYz1k1elYiDzkhl8IhSwKOLNOEBDqCIiS52K8SIK4MCWzdHB1F3cQF6pETIgex6vmss9I0e2DiETSwbeAqLHA4As9FhtX15tYjdfweD8WIWKF4Mc/d9vmQX7VkNgFFokVEZnvUXTHpoHp9LeCvQSZmZsHsX9jw1RA2FJg/3+cJ2MRpZ1IUJr08A+QQg5hvl1h+GIc1A1FpM0PNok/S0GRuCHRpLBpIS1z906KsWQi5vw6wGL3hAoRCrJp+RDqViQTTLMecqtLQTzVqZG/WPhwiOwiIyjQD1W6VIRrC+FfnwGoRtoFghB1C1GYAJdV+HuKZKUuArLcr/4pjSp2GQPj56FoXSONRuDY5cChd9hjndgf/pbG9dfV66C2Gr0uYF9bEon1dgd2YklEJS6NEfbPzZFnISr6n/AGimrS7MDoEUBQPOKmPoJTp/XYZV6JmfrGE1J7aF5Z1eQZmvto7/BqUWA5cJ0vOPnODm0Pp3UMFj22Va7rN7uJolabM3YgKiwIwSrBWHhi5MQW66n0Zj3eP/k+jBYjHpz4YNdsBBmTbnkOsyUnsYYNW2/nRa2PMazWw0DTXiDEaEG5sv9Kkf77k/UklKYisSJVAVGjBWFFUSXXL4Ck2bCEpKH+4BcIspZjSMV3wNGzQss/MfxSlkqhU1dUcOudKxTNqtAYccwyERg0EanU9k8F6aXHgPJTQi1M8jw3d3ga6aLRmnEuqwgxRYcgKjnCTpV6eQROi8ZigmETJPVCVx2DDFDttUaUxpNVCFEso18CNLYANpg4jArjRXHCz1tyFCISQlSUTwaq5GRuszkNNGXRI2HNEXypZBIp9ikvxqAQMww6LZJqfoPUfrXNhBpsGGHc49bia6vOYvuGomFBfjKIpEomstzMPklgERVnnJEymUKJlJRhwMEdCLfkM3HkeuUUY23sBCRcI01OKNrSBBpdc1I+u9XjJJLKhLE9dnQid7f+ytoG+Lt4ajWlRC9ntVU/lISjzNj4OzFYWY2HAzdispbqvITUn8g/XPCy8o8Q5ge61Fj52b/AyqRJqBDHsahee6Bj0nQQdbNIVsL0dq2T0718lP9av9nFJosJj+18DBtztiCw0B/XTV6BySGzMDxgLAp0QvqwKUfLj+KtY29BLpbj2mHXIsrPfepCh4gYCmvEMMjKz+La4FP0TYy+htjsD6tUyAokan2jLm9QvbFfiyxeFNEVxIwHxq4G5jwGDF8JhKR4rJEqNoVgq+oqZConC5EAh8CKmeCM1HgDRbhGJQkn7BPFQG3ycmDKvcI6qDaJoma7ngcyNwG1+agrOANZ1SmMMOzC7JoPISohF28bbNHjscPvKhRKBwsrpqsze1rOYa5Zo0xBnrSxO6faX6hCooJ9Z63D0EuA5LmCdxSJH4LSpVYTRDYh2iNXC/VCeqMVBpOVjXQxRE6ALTDB7WerUwmChgQWiaEqpRA1c8RNzGI1+2xIFB4d1ZsilSshC4qGTRHEImfhlgK32rGhNb+4Le9IF+qlIY1P0uDjJlAh+2z9N61/tkQi2HE4th0yVIsbbTdsFhOk9jouR42T0doYITLZRExkkcAKlpnwQNQRfJewFhskD2Cx5jsEl+5jEcPGH2YxMOmW5kXsYglrQugoVIhOBemtFatyON0VwXpo60NYl7OOdQPOSJ0AiViC8UHTWBRL2sKomKnRUzEhcgKMViM+OPlBl22PeORK4U7OLvRFQqqazHHldDv9Vz72JDTuJsJRAt0yuWU6WEVSGJIugIgM8CgFR7VcNCamnSRFqFBcZUBJjREHMzSYNyoGkgm3AVXnWVqSiaTszexGp3nX6oQaaRyCxi1HpTga9aerIZXKYFOHQ0QeXTTuJnwoUC+ILKMqGieMwxFry2cipVg+hKXXAtUS95ozxxBmV5HlGBkjEkOpoOcboDdZIbP7bimkYlhC4mDNo3JcIQ+vDRmFQPvVaYF0CMpFgxCKRhPT0UNiIKV0lFThle2BTK5kHXWi4ETW5RlkrWhuLuqCY306RRSUCrkXXk8toyQnCPt2CvtBhB2qK7Fc/y4zXh1n2IJAayWqjFKsLYvDL8WCp9X7406zxRNUBjyQnI354kMYXb8P4lqXCJQqGIge6eaUXixJQQyl7Yrto3CcnytmA6mpaUJyViz4YrUFdRKSsz2rBZR4sGLgIstXKdS5R2f7AjGKeBQbhNpQBxarFetOb0d2ZT4UEgWenf0Mcm3uY2FilAls8HGIzL3Kky4A7xp3F27fcDu+Tv8at4+5HeEq9w7FDjF+NTD4Alijx+FcsQbDY1xmovYBJFbB/X2gEWjqvTmoXGT1EGTMWWY3+EyMUALKZGDGQ4LI6kBnIH2JTBgUhM3HK1ka8HR+veAvRMOTySm+7BSQsxVWYwPqTGRKIEdAYCBOGAchX5SG6bYQFFcIURDqJhTp4oXhyw6R5UgXqqNhNKlxOu4WjElUo/o8iRAzAlQt/OpQypSgdKFj+LFUBYVcws7T1EVeb3eQV8rFECtVqBWHs8gQRa6sYSOBss2wWQxIV0wDrO6KQKqyR4ZcxUsryJT27VEIQmlwsBZo7qbQDJNYDUy+3r6zOxYFEjXx+qJIFnXqwT8Guqp8bCkR4fuSEdheGQyzTfgMudiK0xiBGGkNQkJC8EDBZ0COY0i0CEVRixAYGQX/wADPwof2y7ibgOIjQvrYvv0U/UyJUqPmnJfiKG6KU2Q1dYymNfR3A8G+BBW0lxtKcXH0KmbQuaHse/QV5oQtYc7rmQ1n3UQWCawNZwSBRSm/V+e/ipGRw5FbeLLZ9+CiiEtajGaNDh+NExUnsObcGia6Ok1QHDSKSCz+528orzNg/58XIdy/DxiT+iJKQaDKyM+om1Hb61h7A54u7CHI+Zwg41F/1/xzJ8aJUJ0MWS04XNrLag2N66TasKm/w4mEu/Gb+nqci7keikk3Qhk3lp2czxY2OA1RWZejo8OLDXGmYnC7EgkUWvHrLCqWcquzG4e2KLIc8+0ojUUF8Ow5waqCZhkSDu1B2++vkKBGIpiTakWBUPv7AZPugGjyPZAERKFOHOJuF+CoM7OnC9tCQpEsF6GgMAheXG1hFCmEKFFnZurZU6VImQ+dOICZyZL7/evpwZi4fSruPzkMv1WEMoE1IsiExwdnYc/4X2EwSnAi4jrAP1qor1L4AwkTmejbN/51WFg6uhWxRCLZ1aOqI79jtP4JtwKhg4GRV7m9FMJMal0+n2YQcnoFk9WEE5pDKDEUIFt7Hkdr98No6xpbkJ7wvxrmPxp+UvdaRWJ/zlFkVuSxlOAr819x6xr0FvrOWT1iNbv/5bkvWRF8VxColCEyQAmbzYr13Ji044ilaJj2ZyT4SG1Yd8FFVg951TjMNSnN15XEhCicY2mEeYONkR+qfaIUJTE4VggTD4pRs/lx1G1IRqEUTSLhx+YFEtSp2FAqRNhkaij8QpyROK3Byubt0fv9lJI2Ilku6UL7c8om3ZKULhSLRai312FVS6LhR6lA6sYMjEWIvxQ2kYQJLScyP/e0ZFs4xJgjGkPROm9w/Bx2zEFCbVi7sNnYsT8mn4Lq8Q8gIS4CU4YEIVAugtYiQYJKj3uT87BmdjF+mZ2J2zRvIuzUfzEo6z1BPEtkVMwGTFoNJE11FtE3jZA5P871gZsIa7xvlNj3nydS5ru/hyKiE25pVpNGA8HdICsGTo9jtBqwv3qH8/Hm8h+xr3pbn/K/avSwcv+dHpcwAlEB4Vg6ch5mx892M/9sD4uSFiFKHYUqfRV+zf61S7abvteel72FvYp7seWYYM7cV/C5Ukqpst8XHvR7kZWfn4958+ZhxIgRGDNmDNasWeP2+k8//YShQ4di8ODBeO+997plG8o1RiZQZBIRs2foaihNSKKHisp3nq5mo3hqGkzILtXaBzhLhWJxe9F8govQiw9TCl90/jS/SwQYNI3u6AGxUNnb8XVGq3P8jb9KCnFLf63OmiyXdKG9ENu1+Jr2BQksQh88AnuUy3FGPR8yh/koRUz8hDy6RhzeWPvliCyRz5IHzLIgVvfWTGSRpYbDS8sLIsPd67Aso69nTQtU9+QNOVolXjkThIUvbsOK13fht3Pl7DjR/r8kxYpvJh3D9ql7cGPgcYw8+zqw6WmA1VyJEBgejQAZqVn7z9FkX7c8WNV1FqCLoHV5f3bgfJRL4rFP6WKj4ElYthL9ogikm4WDz31z939MViM+zHsVJ+uEMVf9AddRWmQuesX4pUgJi29paa/WKRPLcNPIm3DZ4MswOmJ012yoVIlB+tOIEtUgIHcTKuv7RuSQWDC6qUNh72ND/6bf12RJpVK88sorGDduHMrKyjBhwgQsW7YMfn5+MJvNeOihh7BlyxYEBgay1y677DKEhjbvJusMuWV6p6DpjpEhNAOKZr5tP1WFWq0ZtXn1oAZjBxTFcnU9Hhyjdka4nMN4qZaHBk5TFKvoYDORZbHa2FxDIlDVSgrNUyTLLrIc6ULC1RIg0E+G09JUhDRJQQb7O0SW/YvBxZKipUiWRaJkf7RiU619OUfxevtGX8gDI9wfKxSolsQwZ/eWqLao8UNRENYWR+CoxhHtaWA/d3VDY6oiWC3HRMN+4NxeRDj2kdxPsGCIGQ0sek7YbopkOQgbgurIOQB5jrp+LSXMAPJ3s7tl0kQ4fdYp/UupviZF+yaJP3aqrvD8A7imRlsRTlxS9R56iw7ry9bCYPUNj6OuwmKzYvO53YgKDMfo2KEYGziF/Ywp6iGdXvf1I+y1lV2FSAQZGZNufx5Lxfuw/lQprp3aysxPH8I1A1Ef6AsDpEX96FMGqMiKiYlhNyIyMpIJqKqqKiay9u/fj5EjRyIuTqhHIvG1fv16XHPNNe36DJPZyrrmKP1G95v+W1QlfCEm2dN63QEZdC4aG846yKg2q0JjgtlqY39UZGDqCtVTkSgzWawItkeLnCdmElnMaI8WjGGikNznjWYbymqMrddjudVk6VzShepm6UJXkUUpz/PFDYhtEuULUEqYgKyQ2K9mKY3ooIXCd5NICanI0jji2RHJIoFG0R1HnZRHXEq61e4iyyFSyR/eE3VmCaZvHwe9Vfi5KNYzK0KLS+fPwAUjo+GvcI2ukfATsf1jVEagcuy9iBk5DUj/vsnP5vLVMPoamBto3dWoF4c0mpoOvQQHjGOYuSx1Y45zjURRqq8JcWEKFllVK8RA0+kVrtGvNr6WDDQ/0+P7OJ11aW+w1GFisHsN0rn6k9ha0UXprl5iuP8YZGrPsTRn09mKHx37DGdLM5FeloXEkFhMTJwOmdhztNonoh9kTLr9ecwVH8fdxzL6jMhyxSj3vahWf0yv9brI2r59O55//nkcOnQIxcXFWLt2LS691H1UwRtvvMGWoddJFFFkavbs1o0gPXHw4EFYrVYkJAjeTEVFRU6BRcTHx6OwsH1GjcS5wgacL7YXebcApeyC/bp3d5OgoporulmtNhbVIvdtR1rOlaa+R06R5dr+HyDERSjFZTSb2frY0+pWfg5XC4dW0oWuUS1yt79oYvMZY/R4ULQapTWJMI28FzIy3HTQQuG7SaSAyGH3TjhTbmLBasPuYt+MpDlA7vbGxxRZ8iBQbMWCoDhfr8JXDbMwLSUai7SfIkBqwfQILcq0wOUxZbgkqhwRwQHAhFWApgjY8h8gchgw4QZBRFHUSizFmZibEDdhMdDgEnt0pEKpAcHl57XZPbWOKBZiScBBiBOmCT+zNBClMu+uSql+j34nmLje1spcwdYiWSKaZyjHZtV1mJgWjODONAdw3HC4tCer0xAmFzzVGsz1fV5gEXGqJCSoUrGh/DtMCZ7jFFhP73kav+VsZTVXi4fNQpAqwKPAcq/Jar/MOlVxCl+d+wr3T7gfYapOCoyoUTAFp0JRkwX/3M2orJ+JsD7QZeiLUWgb+je9LrIaGhowduxY3Hzzzbj88subvf7VV1/hgQceYEJr5syZePvtt7F06VKcPn0aiYnC1cPEiRNhMDTPi2/YsAGxsYJQqKysxA033OBWd+VaA+CgI8NEqY6IIi5UZ0T3Xf+leYMyqaix9qmHIGHFxs+0B0fxO1uBDFALooZShg6BxRZrLZLl5pOlbVL47jldSLS0b0Yk+LNb88/x/IVmhAJiuKRSXNdLKcOmIovSaeNuFFKlriLLA6OT/PHj2UDcf2IMSweKoENsdKPvzOtTK6HW5je+IXYy8MvDwKEPmS8WghKAsdcIApGESUQaEmJCEEr1cvW25vVQrm7wIhEcnc56sT9Eo1Y1/mzt+LWi/dxsokD8NCBxNqDJa74NntfC/q+RRMCidmlK4HQZFcYyp8iqNNpHS/UDUvwG4xbVA6xWir5//7bvb/jm/Desi/DeSXfBqm4+nspJJ78+n9v3HLNzSAxMxG2jb+t8ynD0SmDHi/jLoPMIUrccdeMMbHpdZJFgoltLvPTSS7j11ltx223CHwVFsSil9+abb+Lvf/87e46iYK1BAmzlypV49NFHMWNGYxieoliukauCggJMnTq1xXW4CjmNRpjJRwyJVbOhuH0eKn6nkyt1FgZEO0+0ahdxJGqts7BZTVajhQPhOouxqchqNy3UZOmhhMTWQlTRtT6JBE/oECB2IqBqIhSaCIzcygb8d18e/ncwHzVaei0QUpEVI6P8YaTBgvbF1WReqnXYV5iBz69p3AeJ04HZfxCiRS4CMTTYv9FctClNtsvWgihtsQnBW+iqnjoIXUVWK2c014/zxSvjvki5oYRFdRxQ5IoiN1GKWJQZBWPgvo7j99chsP6x/x8sskQ/57Mzn8XgyORunbe4augqp2fWzSNvZs7xnU4Z7ngRIUXbhIYaslrxdXzsD1YlF8NM3Vn9mF4XWa1hNBqZgHrkkUfcnr/ggguwe7dQ7NsW9Md80003YcGCBVi9WvBMcTBlyhScPHmSCS0qfP/ll1/w5JNPelwPCbq//vWvHl/ryQhVt0KF1jTjq77YmSokHMXvRICylc5CN/FjA/S1XhW+d2xbPUey9FYF5C39WpOwKjkq3FeGAIMWub9ORq6V6ULq0M5vZ0tx68cHnd5ecf7AddE5uDKmFMqZD8AsDQD22hcm8VROjvvbhMgVe8MkYOETQMrcRnXiuu2O1GBwCjDkYmH/O4gcJTiv0xxMehgkZwI3uEm6liJs1E2aFtOFbs688L1H0Fm0+CT/dY+vbalwH/nUl5CLKaIsht5qLxlowq6iXfj87OdMYD0982lcMugSVo/WOp37nr0w+UI8f+B5FDUUsc+fE9/4d94hoscAaYuB2HGNf+8+jq+dqcRU89vP84U+LbIqKipgsVgQFeU+3JMel5SUeLWOXbt2sZQj2Td899137LlPP/0Uo0ePZp2HL774IubPn89qtR5++GGEhXnO1VMUjDoRXSNZjtqufkXEcEFkhTfW+LjWUgW4jtNpSahRtIZmKDpSc2S94EirikWsIL/zkSzPIktrk6NWPBgxOAerzN+9iDJkUOvpsFFXw1qZgQplKhwTBqemhCFAIcX4xBCsnpaE+bJjkOTanan91QANgXZNsZKLMX3hRg4HFj4FDLmwuWBx3XaH4KJlEme6L0fb6OJdRU0Ii8eGNRP1NAD6wgnuhfrto53fciJf/truW+yotLvq9zPkIjmuif8/vJv7osfXZ8XNwt3j7kakKhKXprnX4HpDR87LSqmSfdYnpz9hEbROiyz6O7z+axzMqcK36wsxd4gRS0YKxsp9gn4ubnwFnxZZDpqeVCg65W30aNasWUxAtcTy5cvZrS0UCgW79XtSFgBxk91Sa65pvlbrsVyjWTRomoQWe9zYiRagkqC6wcy8tjqFxHO60AQFCiWDsFO5EtMmDHUXWVR35aC+pNnv1PbsevxrXQ0s1kP49f7Z7HfMTyHFjocXIEhtF1MZTb6kDn4I5B8GEiYIomjuY0DyAmDstXSZ1sK2exBZXuILUVOusboOcmnvq1wWsxrfFn/q8TWJiCLe7r//0fI4mCwmyOzWJHeNvatdZ31RF6UMSWTtKNiBgroCxAe05MPlPdvSy/H5vjxm09KXRJavaCyrfeRZf8WnuyXDw8MhkUiaRa3I76ppdIvTRVCdQhNvJepGc9CqfUMLbumOdCExZUgwZo8I8U6stfoZcvcIkh2jSBgIXSVPgkTVxJmcCRT7V7XdPZ04U6zBte/uw40f7MepIg0KqnXIrmg0LXUKLIZVmAtEacE3pwM/PQDkHQAMdYLIIpf08de3LLDYtis8/xw9DY3fIaLHdngVvS/5fB8S8E2bbOhxX49iRShaFhRN5wkO9x+LD058iDs23QGto06xnShpnqgdaSt+da2RFJiE6THTYYONDY7uCi4YEojF4oMoT98Hvan1gfUcD/RAdzL3yWoBuVzOOgc3btzICtcd0OMVK1Z0+4HhwFlL5XCQatW+oaWidBfRRYLNVbR1GNfPIMGkq3L6ZLGnpGLPUZ9p9wHZW4HUhdAZLfj35vN4b0cWS2HKJWKsnp6Ee+anIdTPg/ihE2XBYeDoGqDBPp6HOjCjhwkpUW9nBHqqyeoNxt4oRBtdTU/7SDTNF9GYaqCUqFg9kquY+qboY3ZSvyL2JtSaq3Gu7gRC5OE4XWcf4N3PWBF9LcIV7hfBe3MO49NT/2X3dxTuwJLkJc3e5y9tclHUBKlYitXxd7Hfv6ZRsvZw1dCrkK3JRqTaJbLdCUadfRXvyt/AGvMc7Mm8AvOHdc16uwOf/Nu1eRhOX7gfGNp2hqkv0Ovpwvr6emRkNOZgsrOzcfToUWYaShYNVAdFBeuTJk3C9OnT8c477yAvLw933nlnr273QIKKE0cm+jPDVTIIbZcAovqsdp7EvdsoaaO5qNxVZAknuBZrvmjo8uirkVPRgNWvb0N+lVCYe+HIaPz5ouFICG2heLzsLPDjfUD+vkZxNOdhYNpdwI7nhOe8/QJzPUH0psii7e2OYzMAqTFV4avC9yEVyXBT4u9wpHYvElQpCJKGoNIkWDCcqjuCXVWb0ReZH76sQ4X4NyTcjTeOvuEUWH+Y9AePAouIUyZhWshchMpbri9Uexgm3V7mJczD3IS5TLR1BaKhS4G9b2CB5AhePFXk0yLLN7G5Pxx2KZC6yC3b0JfpdZFFBqFUeO7AUVx+44034qOPPsJVV13FPK6efvppZkY6atQo1gWYlCR0XHF6hsGx7bCocLi+s/td2PHmKe1GqQdycxdLYbNaG53I2xA8cSEqRPgrYLHY8PSKUVg0Ispz5MqxHnUYUHxMECXRI4H4CcDcP3Ys7O0c8UMip2/767g2RQxUak3VTgFitplwUnMIh2p2s9uNCfc6l+urAqsz6bn/nv4CH538hN1/aOJDuHHkja1GWcYGTUF302nrhqYkTodJHoQwYy3KTu+AdeVYjwbQvobPbKGEvgNdujPpO7efCCyfEFk0vNmTKagrd999N7tx+giuNVlN67O6Q2RRzdfoa5lDujlHiGQZzc2bHbRGM5RSwQFfJhHjresnQq2Quo+80VYB2duBMz8CdSXAzT8Lz/tHAFd8AEgkQG4Tq3TqACw8CCTP82676Qp67pNCRKsTaY/eZOGYMOZv4zoqaaDyZaH7YPkqU6XzPs0Z7GuIIYEVrdcWLYtqYf6lCx+e/BD/Pvxvdp9c1m8edTN8CZPVhC15W5AWkobUoNSOr0gig3jIBcDJNZhk2ItjBdezbmSfx1cq3/3pAtfFxLmf0esii9MPcU0XuhS9dzmO2iaKLkUMZ1dm0xUGVG78NwbV7QSONgotg1WEE8U6BPn7Y9it7zLRFBmoBM7+IgiqhjKgIh2ocTXkJLvtTCDMbv0w7CLAahF+vlCXL2Xyskpd7H26sLv3Sw9Ao5A4njG7OPWXGNo/psvXz75qiR9LhbZGlb4K750QxOc94+7pvMN6N/Dc3ueY2/wVQ67AU9Of6tS6JMMvYiJrmewwMrUukxo4bdI3LzO9h39TcvpuJIuc1XP2AsfWAimLALka0SEKRKtLgNPu0SaSY8zLvxqoqmtAKEWmCIpaHfvcfb2RI4DUecDoK9zFFEGphhQPEStfLChtL8HJ9jv94GfpITyNvMnSnsNAI1QWjipTReNjZSjeX/I+dhftxi2jmg8q9wUuSr2Iiayfs37GgxMfRKC89cL7Vhm0EDaxDInWIiSGkwkzr8viCHCRxel63GqyukFkGRuALX8D9r0pRJaIosNA8izh/pirgPjJzB6h3mDGq5vSUVarRZSfCHfMiEdomMsXYMocwD8S8AsHwtKAiGHCiJmBCFl3zHy4z0fZuhudpYHZCRitBnxd9FFvb45PMCtsMX4o+QI6o94ZCRsWOozdfJVJUZOQFpyGjJoMfJ/xPVaPcJ8I0i6UgRClzAYyfwNydgDhg+HrSKUD52JK1IufzUUWpxt+q7pRZJWcAL5aDVRnC48DY4CJNwOxExqXSZzKbuRZc+3be3C82h/RgUr8747pCA1rUog/bJlw4wg0nePIQRWLVokQKg9HRsNZbC7/ke0VGgnTHwmShWBC0HRsrvjJ4+sJqub1S7QvThalY3fWIYxSTUF0QudNPrsbKrS/Ztg1eGbvM8wB/rrh13XKGgKL/gosewHGoBRU1OgQG+zbFysKmY/UU4amASZek8XhdCpdaCo+Bf25TQhQqQCqWakrQXVpHoKt1RDNfZhFoaiQemdGBdafKmFeVfEhTQQRXSV+dQNgrAMC44BFTwljbGguoIcuxr/+eArHC2oRopbhs9umIrGpwOJwvCiOXmOPVt2W9CD2VP3mfI28r/obqeqhmBIymwktnVWL3S4/rwOJByHyS+av2HpeGOJ5oOQgFiV4tmnwNS5OvRgvH3oZuZpc7Cnag5lxTUZbtYeYMdh6rgy/e3UjhscE4n93TodP4yu/vrETgNwt/fZn5ZEsTrdGsnIa5Dj3zmNYUPQWApp0LFHMpEYcjA3FEajIycB/9+ahsEbwrbprbppzuT2Zlahu0GPZ3mcEgZU8G7jq01ajLicLa/HF/nxWKvXqNeORFtl5fx1O/6PBXMfMQ2Viz1YaBpcBx5/kv8FShH0Jikgdrt3T4usUgRoRMI55eNGyk0NmNZpsBkzwKLKacrokA1vOCZ8xNm44bhp1A/oKapkaywctZ8Oqvzz7ZedEFsC+Z+oMZhzMrUJVg9GzqTHHnT7aYe0tXGRxuk1k5esUuOzbelxsrMcSmQWHxaMwdlga86mpFofi3SNaHDMmYtf3NL9N8JSfpi7C4DEzEOInmGRW1Bvwuy+OsH8fmv1P/G7Qeojm/qnNcTSj4oLw9uqJyK1swOzBnRmezOnPAuuzgreYgeitSQ846602lv2IYQGjMdhvBL4rFkw0ib4gsGQiGUy2xu42Eo8UnWqpGD9AGoiZoQsxMmAcgmVhzdJp1EVYZihusZtQqQvDlnOfsqje6NihmDVokm+6irfCVcOuYiKr1ljrNluxI8TrM/DfgNdQphdj85kxuHJSAnwNldkKnVSMCFH/nhnoK3CRxel6ZCrUmSW49egIVOmsOBB1GU6Mn4uxs1dCIhGuWigGdf0CHRq2ZUJVo4NUZMMD5vcxNP9/EA37L6AcxZYLUohxxcR4vLUtEy/tKIf4gqtxr5fz/vrSsFZOz1Nst1cgA1EH+6t3otiQz267KjfDaPN9YeXKlJA5rOPxbP1x9lgYiNU6JIpozI8nlkZezgSUp1ol6sp76cC/2es0qiY8St7nBBZBHlk/XvojkoMc3bWdwYaZpj3QihV49Ey+T4qs63JqYBaLYErjUbaeoH/H6Ti9grWhBkcPHkRlgxlR/lJ8eMs0jJ53uVNgOaDC0L+uGIX3bpyMt1ZPxrAwKUQ2K/D1zUDeXla3JftoCR4J2YrHlwldSi9sSMcPx4pa/OxdGRUo1VCHE4fTOk0FSJ2p1ilOiL4msAi5WI5ZYYvcIlmdET4tzQkkA+l1OetgtVlx+eDL8djUx5yf4yulPu2hawQWDVsfA6NfLNQiAywZW2CyNDdF7m2o3F1h7Y8Vhb4Jj2RxupzcL+7HbPMevCKvR9DVnyE6qMnAaE/QF/TF/xYGL6evAz5YIhSzk6N7dQ5uu+tSlDek4u1tWXjkm+MYEROAtEj30QvldQbc9dkhNg3nqzumY0RsJ3xvOP0eV/FwpGYv9tfsQF8lQBqEOnMt6/yT0ExPOyImJbs+ukSC6sW5LzKfKYpidaorz4eoNdSiTFuGwSEdtGAQiSAbcRFw4F3MtBzAgZwqzBjkOUrIGRj0j78Mju9w+geklP8GMyTQDLsSYwa1Y8akRApc8SEw2N6ZRAIrbDBw2yYgIBp/vGAopqeGQWu04M7PDqPBYHZ7+zM/nYZGb0ZSuBpDonihO6d1jtUecN7vywKLuDT6WtyS+ABUEvcOWnEXp+8q6qudY9DkEjmzQOgvAmt7wXYsXLMQT+x6olPrEQ25kP07T3IMW8+WddHWcfoqPJLF8Rr6cm0t9WAz1EP0yx/YfdGsB7Bs4X3td0KXq4Hr/gc0VAIlxwRTUfuwUKlEzDoFL3p1B2KClGw+oZ99ss629HKWRqS5rH9fOYYty+EQOdoMFOpyMS10HqqNFewxpQL75sgbz9DfpUzsqWC760RWVkUe1p3ehrLkWsyefUGfrL9qjVHho1j681TlKZwoP4HREaM7tqLkmbBIlIixVOHalLqu3kxOB5D24sBuLrI43lFfjtdeeRZDFtyAJdMnuH3Bkr/V8+vPYXDZOlxRXwoEJUJC3led+RL2CwMGLWj2dESAAt/cNYPVc0nsfzhUg/XYtyfY/ZtmpGB0fBA/qgMIs9WMH0u+RLQyHtNDhZFHeosODZY6hMkjnUOaqcNOa2nAQIJShWl+w5HRcMbt+XB5FCqMpUjzG+HVejbnbWYCy2qzQWPQMDHimpbsD9AooAuTL8SPWT/iy3NfdlxkyVSQDJrHyh6SK3c5Bnr5HAOpKksq6T2RxS/3OR7JqWjAU+9/gzNFNeyx7etbcJ/5I5z4+S1c+dYeZo2AE18DP/8e3+4/j7e3Z8E/82fhzWNWuY/W6WISQtVOgUUeWlP/tpn5ayWGqvHQBUP4ER1gkHgqMxbjuKYx/fdZ/pv4uuhjlOgbo1X9W2CJWhRZiapUXBF7I1LUjXVGF0dfxToHJwRP90pg/WHrH5jAGhyZjBvHXctsWPojVw+7mv27LnsdG3LdYShlmDAVCPJ953tO98JFFscj72w4jCfybkPse+MAXTXMo69iz6+SbmdGe//6dhfwza3AgfcQePhN+EGHRdJjwptHruyxvZpZXs/+pfThf2+bCn8FD84ONCw2d5PbamMlLHbj20M1FEkYuIhEYhZ1poieTNTYsq8QK5Codi+Sb01gmW1mDIlMweJhs/qtwCJGh4/GyLCRMFqN+Pb8tx1f0aSb0XD9L/gJs/Du9iz4Iv11LJSvwUUWpxnppXXQnFoPqcgKRWA4c1aXjV4JyP2RJCrBZNE5jCj4yrn8zIo1CBHVIW/YrUDaYiBqZI/t1dmDw/HGdRPwy32zWYSLM/Cwke2HneyG8/hf0QfOxwX6XAxkXE+kUo81W94JrGUpy7Bo2Mx+U+TeEiRIHdGsNefWwOIYQN8BKLp+7+dH8PyGc9AZO76e7sJf2X/Fsi/Rv/9iOC1Ss+djZP3wdzTojc1ee3ljOuaLj7D7yhFLhSflfsDIS9nda+Tb8Y7hAlRMeog9DrDV4wrJdiiWPAVc/3XnarHaSVKYH5aNjkEIH18xYLGiUWRtKP8O/QEadeMgXtm2h5NS7D6MOFaZyCJX8arG904KnslqsWaFNvpotYbOrGP7lgTWc7Oe81pgkYt8X4bqsoIUQczK4WzV2Q6vZ3CkP4YFmTHScg67Myvga/S3xgVfhedWBiAbTpXgjZ8b8IDoVwRbquG38l/s+XUnS9iXwfqTRXhOcVRYeIjLoNdx1wNHPsMy8V48jhvwW/QtmL4oDQmb7sZt0l/hJ9PS0IZe+qk4A5VyQwn6G9GKOJyus/8NtsH88GXNTpgXR61iAsk1HUj2DpfH3tCu4ckxfjEYGzEWUnHbpwqq+9Jb9PDv4yJLKVXi+TnPIy04DRHqjo/kEhUfxS+Gm1Al98crZ+Zj4fCoLt1Ojvf0ppzkkawBxhf783DnZ4cQZy1mPi6hx94G9rzOXttytgyf7MnFOFEGQkX1gCJIKN50kDgNCEmB0qbHMsk+ZFc0YK9iFnKtkaiXBENUSTMIOZyusQuhWqudlZuQq81kz2lMNVhT+CHO1B1n3W0O0htO9btdTh2B3iL28DVOoqsj3X87CnagXFvufDwxaqJTYFEBfdMomytU9xWnSkR/YHrs9E4JLEbUKFilKoSLNCg+u9fpL9brONLGQb438qc/wkXWAIH+wP+96Twe/fYErDbAf8KVsCx4Snhx/WOsU3D+sEjcNCMZd8cJJzWkLQRch6XS1fKoy9jdv16QgD9dOAxymRSvBz0EP7GZObNzOJ3leO0BvJP7Av6b/xZO1R3BujKhAPmLwndRZarA9sr1+LzgHefyNMi5v9FaKueymBswIajtrsD2sil3E+777T7csv4WVOurm71+YeRluCnhd0xMDSTIBb5DSGQQ2W1oRmv3Ir1UaNLpdeY+Dsz5M6ux5fioyKqpqcF7772HRx99FFVVQpvr4cOHUVjYf8z9+hNlGj3+79NDeHlTOi4S78WPCV/gHzNtkMx+EJh6p7DQ2jtxoXU7/rJ8JBZJPKQKHcx6CJjyf/BLFK5mV4yLw79+fxcC/pwBjBUKRjmczrCneiv7V2el9LNnyAOLIl0ma+Nw54FChCIKk0NmdbnA+uO2P7Ii95HhIxEoD/Qo/BSS7rNm8TUqdZW4bf1tWPbtMlaf1hEkQ4Xv0Hnio/jNV9zfJXIusHy5Juv48eNYtGgRgoKCkJOTg9tvvx2hoaFYu3YtcnNz8cknn3TPlnI6zIGcamw8XQqZRISnIrYhsvwYcH4sEDMWWPJ3oKEcOPkN8O3tQPEx4MK/ARmbgDQPBbIKf2DZ8/xocLoEsluoNJaxOp5qUyWG+Y/2uu7qvdyXWHG3yda8ecNXoCjbuKApWFP0UfcVKHeygHlj7kY8vO1hJrAuSr0Iz818rl/bNHhLsCIYBfUF0Bg1zDdr5eAOWNPYv0PHibPwfXEegEFdv6H9CLGvpFR7M5L10EMP4aabbsL58+ehVDZe1SxduhTbt2/v6u3jEFYrcPADIH1Dm/ujTm/C7owKfLq3sXV92eho3Ds/DRuuCUZkzTGAaizG2wtgxWLgsneB2b8XHpeeBBJnAIufBvxaHmz63ZFCXP3OHnzm8jkcTnshu4XNFT/h+5LPWRqwWJ/vcblviz/1+LwvCyxiQcRFCJV3sraHFbcLXb7TQ+Y7nwuUBrN/45SJXSKwqNCdC6xGSGiuGrqK3f/qXKNlTbsIjIE5UrhweGp4/2vQ6DOIJH0nknXgwAG8/fbbzZ6Pi4tDSQn/JeoWDr4P2GcCMvEz8/5mi2i0enzx7vPYVKrGAesw9tzysbEIUsnYlfAflgwFfrhPWHj4ciDApdOFrloXPgnETRKK22lQcxvkVWmxN6uK3fZlV+G1a8Z31U/LGSBQAXtTNOYO1r/4AMP8x+BsffOfqa0uwqYzFJdHX9NsuSH+o5CsHgK5uNFQdFXcLbDYzJCL7QM8OzAQ2VVgPTvzWR7BasLKtJV4/cjrbJ7hyYqTbL5he5EOuxAoOwGc3wCMa35sOT2AfzT6TCSLolcajabZ8+fOnUNEROev2DjuvL4lA2dPNI4LwcYnYdv4F6pkb3yuvgzlb1yEO6pfwBeyZ3FVwHEWvao3mBuX0dcCJ9YI9yff5nk3D1sGqEO9OgRjE4SraILSkBxOa9SZhXl3DnSWBha5asoxl9E4fQnyspob7qGGsQ08FZHHKN1HsZC3FeEqsAjqHuyowCKGhgxFrH8sF1itEKIMwZJk4bh+efbLju3oUVcAl7zKLpB9psNwoCGW9B2RtWLFCjz99NMwmYSCU4qS5OXl4ZFHHsHll1/eHds4YPl8Xx4bvHzh+RU4ufgL/Ft0HXtetOtl4KcHAbsbccnm/2BQ/UFYbSLm0v5P60t4Y2oN4oJVjQJr7V2ASQtEDAeSZnR628bENQ5hjnd8DofjgSJdHj4veBu/ln4t/DpadPgk/w2P+6rGVNkn96Gjbmph+MXte18rDj5XxN6EKcGzMSFoGrqDKL8ofLrsUx7BaoOrhgkjxdblrEONXpjl2i4ihyE3+Qrc+G0xLn5tZ4eOFafvjhBqt8h64YUXUF5ejsjISOh0OsydOxdpaWkICAjAc8891z1bOQD59UQxHv/uBLtP9VSjZi6DeNaDeMR0G6z0C3PoQ5b+M1usuC17PtaY5+DF1PeBESsAixH48jogxz63LWMzcO5noatk0V+6xJHd1WF9YrJ30S9O/6XGVIVSQ5Hbc3TVXmuqZjYMjhE35+tP4+P8/6C/kubftr/VqthbvFpXmDwC44OntXscTls1WL9m/+p8HKoM5SnCNhgTPgbDQ4fDYDHgx6wfO7Tfg9Vy7DhfjlNFGhRUt9w1y+l/tLsmKzAwEDt37sRvv/3GbBusVismTJjAOg45XQO5rr/65c94Xfoljox6DL+/YAh7/v/mpmLp0Utwb6UaLyvfhWLkpSio1qFab8Ozst9h8+VzAeUlgEkPnF8P/O8G4IHjgrdV+Vlg8BIgfmKXHab1D8zB+bI6zB3C08QDna8K32f/Xh9/J/ykAcxaYWfVJqTXn3Rb7reKn+HLUDG5xtx2tII8o4Jlofiy8L12XymHyMNcHonarMfqSoFFNg022JiT+7hIz6ainOZRyrvH3c26DC9IuqBDuyfIqsFjYdtgrCnGzvOjcfWU/mHayunGsToLFixgN07Xkl+lxV2f7MfHktdZ2+8S8WcQiYT9rJBK8Oylo3Dtuw3YpxuB95WTMS7cDxsenINzpXUI97fXZ6z6BPj6ZmDqHcLMQWL+Y11+qIZGB7Abh+NauE4ia1P5j8jT2U1t+xDeiqUktdCKTzVRRquhXQ7tbp8nar0eq6sFFnmLXZJ6CUaHe7bK4HhmXsK8zu0afQ1uq38bRokEfzp3BxdZAwivRNarr77q9Qrvu8/ewcbpEJ/ty8X15rUYJ8uCTRkE8RL3FOyMQeG4bHwcvj0C/HntCXx/z0z4KaSYkBjSuJBMCVzzBT8CnB7BtZjXIVL6osDqCDSvr8JQimT1YOdziyOWY0vFL1gY0Vif5ScJYAaqvVErsiFnAx7e/rBTYD0z8xmeIuzk73u7hyuHpsLgHw9FfQGMmTtgsc6ERMwbhgYCXomsl19+2e0x1WRptVoEBwc7HeDVajWr0+Iiq4OsexQoP4c7C9MRJCtgT4mWPs98Vpry2EXD8e2RQpRq9Mip1CItko9H4HQP1BFYaSxHuDzS7cRCcwRLDAVI8xsBG6w+UWDaVSSoUpCvy/Zq2QBpELu5kuo3lIkusajtktcYZQKOaw6iu6D6q0d3PMoFVheJq8/OfIY16Wvw1qK3WGem14hEkA1ZCBz+GJPMR3CsoMb9wpjTb/Gq8D07O9t5o+L2cePG4cyZM2ykDt3oPtVlPfPMMxionC3R4N3tWThTrIGVhgO2l3O/ApmbEaLPh5hOW+OuB8YIRnhNobTgS6vGorLBiOMFHeh24XC8ZEflRnxb/AmO1O51e57mCG6p+BVn6o6xE7gDEmKe3Nn7EgvCL2r19Wkhc9tcR1sC67r4O7A08gom6FwjYF0J+To9suMRdnxWDFrBI1idhH63t+VvQ3ZtNr5OFzpl24OYZsECmC0+gR3pFZ3dHE47UEvsZTN9oSbriSeewNdff42hQ4c6n6P7FO264oorcN11gs3AQOPw7s0IPfI+VvxyGwL9/Vhab9bgcMxKC0dsU4sDoxb48T5g3qNAmH3MAnNctwEhKUBIMsTBrU9Iv2xCPJaOioFKzsdfcLoOMrekonWlRPiddZhrHqjZiQnB02G2mpHecMq5fJE+n0VuXCNZLbmz9xUcP7srE4Nm4FDtblwctQpxqqROfwaNEaKbq0DtCmd4V0aGjcSqIavY8Xxy+pNeRdY4bds57CvZh2/Of4O7xt4FmaQdnZ8pc2CDGGniIozw67umu32JCyJWILPhHPvu6jMiq7i42OmR5YrFYkFpaSkGJCYdLkv/I5SSckSKNbi9/gH8cMyIH44JLe2pEX54eMkwXDgqWjAR/eFeYVZg0VHgnn3MKK1m2FXILK9nIWRv8/1cYHG6mjWFH6HWXI1VsTdD0URskCA4XLvHLaqVpT2H0iaO5b2FTCSDyda5gdFD/T07ek8KmclmEHalnYLDUDRRNQhGqx5B0pAurRmi26NTH2XPcYHVdQXwkapIlOnKsClvE5amCOOOvEIVAhF1dxccwGLFafqt6qKt6j+IutirNcVvCLv1Ju2+tFm4cCEbCn3w4EFnwSvdv+OOOwaujYNMBeWV7wIyNWaLjmF/4hv4/ZxojE8MZt1DEf4KDHN04e36tyCwaH7g8ledTrTfHC7E5W/uwb2fC55CHE5vQAKL+F/Rh/i0iWHoJ3n/aZY2JBos9c77db04FmeQ3zCsjr8Lc8MubHGZFdHXIkTW8kzOsUFTWnytMwJL1sSt3ZWlUZcx64Z2F1N74IuzX+C+LffBZDE5xRUXWF2HTCzDFUOu6LgD/KAFAP0eaYq7cKv6D7a+X9LZeZH1wQcfsDmFU6ZMYSN2FAoFpk6dipiYGLz3nuAZ40vk5+dj3rx5GDFiBMaMGYM1a9Z49Vq7GTQfWP0doAhCYNkB/C7/Iay9cRiOPnkB3rtxEpLD/YDzm4BNfxGWX/pPp/M6idU1B4XBuNNSubEnp2cwWPT4rvi/OFyzh429aQujF8OYN5b/gN4iQh4NtdQfwwJatieIVsZhVdzNHl8jO4buEiSLIy5BqCycpS880RUC69PTn+Jv+/6Grflb8WtOo+Eop2u5bPBl7PfkcNlhVp/VLqbdBTySi7KJ9+NEAU8ZDgTanS6k+YS//PIL0tPTcfbsWSYQhg8fjiFDejck1xJSqRSvvPIKK9YvKytjBfrLli2Dn59fq691iMSpwI0/AJ9dBhQfBT5ahqAbvgcCooGKDOBrcnq2ARNuBCbd6nzbyUINzpbUQS4VY/nYuK774TmcVqDUH7m0041qrsYFNo/iyEUKGG0Gn9qPiapU5Omymj0/LGBMp9bbnZ2RVG91ZQviriv48OSHeOnQS+z+baNvY1YNHHTbOKLZcbOxrWAbvj3/LX4/ieppvUQVgm3p5bjxg/0YHOmPjQ+13UTBGaBmpCSqfFVYuUIRNroRZDERGhrKOiJJSLX2WoeJHQfc/CvwyQrBZX3bP4FFf4X1y2sgNtTiiG0oImY8jXiXK9f/2aNYS0ZGI0jdtTUfHE5LlBncUxZHNfubLWN1sWfobWKViZgROp9ZJnxd9HGz1KRrFOqymBtYvdjR2n3o77x7/F28ekTwMrxz7J24e+zdXRIZ47TMqqGroJaqO2RSOjY+iJWRZJXVokyjR2Sgku/qfky7RdYtt9zSZjqxPWzfvh3PP/88Dh06xIrq165di0svvdRtmTfeeIMtQ6+PHDmSRZ9mz57d3k1ntWM0BighIaFdr7WbiKHALeuArf8ElvwNMNRBpAhCpTgM/6e9H8N/SMfHN09mX4R6kwXfHxUKh1dN6h63Z87ApsFcx/yuAmTufk5aS4MX7+7iSlQPkGiKkEchS5ve7LWZoQuxq2ozuz81ZA7C5JHs/vLoq/HfgrdbXGeEIord+rPIoizCW8fewhvHhNq5e8bdw0QWp/uZEz+H3TpCcMVhbFQ/gSKjGnuyJmLFOJ696M+0uwChurra7UZpNppj+O233zJT0vbS0NCAsWPH4j//8Tw09quvvsIDDzyAP//5zzhy5AgTV0uXLkVeXp5zmYkTJ2LUqFHNbkVFjQNrKysrccMNN+Cdd95p9hmtvdZhQpKBlW+yonj4R0J0889ouOY71EpDsT29HF8fEgxHN5wuhUZvRmyQktk+cDidhVr2c7WZMFtNgoFiwVv4vPAdmKzuNVV6i67NdZE4626oo29xpOdapZbSeaL2f3V5ZLDfCI/r7wuUNJTgw1MfsvsPTHiAC6y+gjIYaZZMTBafw750XgDfnd2FfTKSRZGmplAE6O6770Zqamq7N4AEE91a4qWXXsKtt96K2267jT2mKNb69evx5ptv4u9//zt7jqJgrWEwGLBy5Uo8+uijmDFjhtevNV2Obg40mrYLhd2QKpA4eAweWuyHf/x6Fs/8dJoNVt5ytoy9fMXEeD5mgdMl7K76jflbjQ6ciCnBjVfbVNweKm8U8t7UWvVEupAKztuL2Mt0GPla/VT6Py/X2rdEVox/DN5Y+AbOVp3F9SOu7+3NGZBk1WQxz6zrhl/nvQN8xFAYleFQ6SugydzDrRz6OV1yOSgWi/Hggw82G7/TWYxGIxNQF1zgPvmcHu/evdurddCV/E033cSGWa9evdrr15pCgi4oKMh562ha8bZZKRgdF8SiV49/dxIvXjkW/71tKq6Zyqeyc7oGh4HoCc0hWGBxMxqtNJZBa65HnrZ54XhPIhFJMTdsCZLVaRju3/6CdW8jWWQcSl19LaEQ9616GPrOogiWg0nRk7jA6kWom/OT059gbUbz4EOLiEQQpwgXP2kNh5Ffpe2+DeT0Ol3Wr5yZmQmz2YyupKKigpmcRkVFuT1Pj0tKvBvdsWvXLpZy/O6771gXId1OnDjR5mtNoUhXbW2t80b2Dx1BKhHj+SvHQCYRsVThLyeLMTMtHDFBzV2mOZzOQoLKwdriz1jB+KcFb+LXsm96ZETF/PBl8JcEeowZUTfgksiVrfpPid2+olzShU2sFkYGjEd7WBh+MeKVyZgYPKPNONayKMEXqbeh1C2d1K/88UqkVzevX+P0PJcPuZz9u/b8WlisjRc0bSFNE7oKp4tPY3cmH7HTn2l3uvChhx5qdmVFBek///wzbrzxRnQHTTtl2jMFfdasWSyd2d7XmkJ+YHTrCoZFB+LueWn4aHdOl6yPM7Cg339yNrfBhr1VW5HmNxxxKs+R0BIXN3ZavisYHzTNWYzeFkP8R7K6p3dyX3B7vjXDUAfBsjAM9h+BHVUb2WPXv3ixy6Mk1SDMCmufEXKa/3B2a4vJwbPc5gv2psB6Zu8zbGYe1Y5RinBIiO93d/d3FiQuQJAiCKXaUuwq2uV9MXyy0Lg1WZKBQWl2o2oO+qMZabtFFhWfN00VknfWiy++2GbnYXsJDw+HRCJpFrWiYvum0a2+xj3z03DdtEREBvStdAWn96EoVLE+HynqITjfcJqlBy+IuBSRihj4Sf0hFclgto+X6Q4H9kBpcLuWd70gWhp5OaKUcVB4UYd1VZz790mQLMRjunCqFwObvfHdoho2X4QiJH/d81eWkiKB9czMZ7B8UNcOk+Z0DIVEwTzJPjvzGfPM8lpkhaYCgfEQawoQXnUECFnAD0E/pd0ia8uWLegp5HI56xzcuHEjK053QI9XrGi7G8mXIeNRLrA4rWG0GpBef4qJJ7o5olj5OsFlmgSWgw3l37F/V0RfA6vL0GFPY3A6S2ciO+Rl5Y3AcuWWxPvZ3ETX0TRd6QO1OGIFq1Vz7GNfggZyP7nrSfyY9SPbd3+b9TdclHpRb28Wx4XLB1/ORNa2/G2o0FUgXOVFlzj9/o5aCdSVAkp3axXOAK/JoiJxT1YN1G1Hr7WX+vp6HD16lN2I7Oxsdt9h0UDpSRrXQ/5bZ86cYQX29Nqdd3I/GE7/pdpYiQ/zXmVpOaqlcqC3tl4k+0PJl93eEeitwPGUEpSK2u9/TOJK2WRYtWutVlvrbCtJKhVLEaWM9TkDT5o/+PD2h5nAokHS/5zzTy6wfJC0kDSMjRgLs82MnzJ/8v6NFzyLjNkv462MYGw6Xdqdm9hnEHELB2Dr1q2s668per0eO3bsaPdOJRPQ+fPnN6v5ovqujz76CFdddRXzsXr66adZ7Rf5X9FYn6SkpE4eTg7Hd9leucHj87Wm1r3ouqruqi1S1UM8moe6Em43DnUUplPqMkrRNcaLJIjInNRoNTYzWe0v0Em7Sl/FhhI/P/d5LExc2NubxGkBSt/manLbvX/WnyrB8+vPYcnIKCwa0bdLYDie8fqy8vhxoS2cOH36tFudFHUArlu3jg2Obi80oJlSIK1BHlx043AGCroW3Ng15vYb/nYHc8IvRFZeerOuwykhc7C1QhhO7BoZam9hujeMC5rq1XK+FZ/yHpVUhdcXvs6K3CdG+Wa9GEdgRdoKrExbCZmkfWPRZqSGYKgoD/mZVbBaJ0Is7qu/rZxOiyyyN6AvTbp5SguqVCq89tpr3q6OwxnwkJBStWCHQDVInjpqfUVkeaqrGuo/GsHSUJdnfOOE0ZcyEHXGOmzM3YjLBl/GHvvJ/LjA6iMF8B1h7Kl/Yb3iLbxnXopzpSswPKa53QlngIgsqpWiL3pydd+/fz/rKHQtUKcBy9QJyOFw2uZc3UlsrfyVFZEvjLikmWixupiIOoxEqWtQ00a6sLdxjV75hsTqO9Toa3DnpjtxqvIUE1s3juweSxxO91ptHCo9hHGR41iaty3ECZOB/W8xv6z92VVcZA1kkeWogfLWV4rD4aDFKBUJLII6BX8t/RqXxlznHOZMYspg0bu9x2QzQmKTuvledYYkVRor+I5WxLFtoMHLXdGJ6D5fkMssb6GutNs33I6MmgyEKEIwJXpKp48Fp+dZ/etqHC8/jlfnv4r5iY21xi1id34fKc7FRxlZwIzk7t9Iju+JrB9++IHNF5TJZOx+ayxfzv1bOJyWyKg/gx1NitpLDUU4qTmMfdXbWLEzdcu5jsMh9lVvR6JqUJf5XpF5qcMXalTgBPbvufoT0LZQC+Yt7sKqfSLLXxKAeksdBho0JocEVo4mBxGqCLx7wbsYFDyotzeL0wHGRYxjIuuHzB+8E1n+kdAFpUFVmwFLzl7YbPN9rsuV0wMi69JLL2WF7pQSpPstQb8cVATP4QxESKAUMZPQwazlvillhmJsrvDc4u3qoE5Cqynn6k+yW1chEzV6TnVburCdJ4sVMdcyu4rOCr2ugARodsP5do/raS/5dflMYBXWFyLGLwbvXfAeEgP5HNO+3GVIswy3FmxFraGWucG3hTx1JnAkAyPNJ1Fcq0dsMB+xNuB8sihFSALLcb+lGxdYnP4OmUM2LUp3sK70W2wu/xHHag94fJ1c2nsDMttsChlbdgfeDm72hL80EGMCJ8MXmBG6ANfG/x8Uku6byKA1aXHzupuZwEoMSMTHF37MBVYfZ2joUAwLHca+J37NFkoC2kKSMov9e3N8MRdY/ZDu+ablcPohJK7+V/QBvi76yKPtSLlRsDU5UycY6zZNE+6t3tYl2zHMf3SnOwHdBy93jIujVkEpVrmlCjtbkxWt7Bofra6gu9M2apkat4y6BWnBafjowo8Q4+97jvOc9uMYeUQpQ69InM7+ERcfAwwDL13e3/EqXfjqq696vcL77ruvM9vD4fgsWku9syaKrBRcZ+m5YrC6F60TrmlCmUjGBjx3lGCZq01C28jFSq8iWZ6EI0V0CnS5yNNlCusSNQq2OFUSbky8F2/nPM8eS0TSTguTKEUslkdfgwBpYL81cXAdcH/t8Gtx+ZDLO2wBwPE9lqYsxYsHX8SJihPIqs1CalBq628ITgAWPgXEjAH478HAFFkvv/yyVyujLw4usjj9eZaggwpjWYsiqy0BlaROQ0bDmTY/L0gawj6Dhhe7QmKGPKmoUF0lVkPXxqgdj5EsDzVjLdUm0a1Al4M9VVswN7z5qBxyXqf6pVGB46GzaDvdXRijjEd/5XDpYfz78L/x6oJXnfU6XGD1L2h24cy4mdhesB1b8rYgdXRq28J71oN4+qfT2P3jXrx34yQkhKp7ZFs5PiKyyCOLwxnoGNxEVikG+Q11Pm5ap0U1GVT8XmYsZvddiVcmeyWy6P2eIk70/OywxSxtWGWqaNat2BTqVhzqPwql+iLUmKvYc2K0z9MuXpWMK+NubtF53eG+rrfonM9zCwd39hTtwf1b7ofOrMMbR9/Ao1Mfbdcx4PQd7hxzJ24ffTubaehtgOJofg3OldbhQE4VF1n9iPZPa/WQXuAtp5yBgKt3VaWxzO01V3FBUN2W2WZCg6Xe7XlyRB/kNwyF+lzkaDMwxH8kTtUd8fh5JLA81U6RyKIb1S9pzNVu4o18tOhz3ZYXyzAvfCnqTLX4vPAd57q7A7fvAt6K7mRr/lb8fuvv2axFinI8MPGBbtn/HN9gdET76iZhteDa4NO4oGgbDmVG4bIJ/TeaO9Do0Dft+++/zwY1K5VKdqP77733XtdvHYfjQ7jWWlUbK91e0zdJ2dWaq5sJrOkh81k0iExAF0RchFuS7seUkNktfh5Fmzyl9Shd6LqMa/3UEP8RHiNZTQVQT3QXcrcfgXU56/DglgeZwKIhz2RUSXMJOQODtmbzMkRirMj9O+6S/ghNlufuZE7fpN3ftE888QTuv/9+XHLJJVizZg270f0HH3wQjz/+ePdsJYfjAxhdRFa9ReOWBnStRWot5dZU3JC7e0vQsgoPReuuIkvksj5aPs2vuchyeHa5CiBJG+lC2q4hfiPRXrjjuzvfZ3yPP23/E/M+W5ayDM/PfR5ySfd4lHF8b0zS03uexpU/XsnG7bQKzQVOmsHuJmiOoEzTvHmGM0DShW+++SbeffddXHPNNW4u72PGjMHvfvc7PPvss129jRxOr3O+/jT2VG91e446DEPl4c7Ow7bw1DHXWkSJolgTgqejWF8ApUTJjE4JV6NTsUu8iNZFReNXxd3K3NP31+yAWuLv8nrrkSyKqm2rXI/h/mMxM2yhR0PVtnAvHfCNWFacMhnVpkrIu8mAtSUctVd0gr188OV4YtoTkIj5fNeBAll0UBST5lDSPMPJ0a17wMlSZwHpP2Ky+Cz2ZVfhkrGxPbatHB8SWWQ4OmnSpGbPT5w4EWZzc6dqDqe3oXA9FaZTms4VikRRbRVZIrRlOvlbxc/Nnqs1VTlFVpG+oM3tkInbd5Kneiy1xA9Xxt2EPG22i8hqIZJlj1Q5LB4ofdhyKq+5ABoWMIbZMvhLAjtcZ+mLxe4kHoNkwUhS9+yoGkoJvnPBO/gx80fcPe7ubkvRcnwTilguSlyEtRlrmTFpWyIL9kjWJHE6Xsqp4CKrn9Duv/rrr7+eRbOa8s477+C664QhtxyOL7G14ld8kv866s2NRn8l+gJ8mv8Gviv5L3sto+Gsc/TN7qrfYLK27WNVbapyijgaskyQpUJX4XpSdhWIrqk+18L4tk7ibqm8FkRUgDSoU40s7iLLN/ypZGIZm89IP1t3Q78L5I3kICkwCfeOv5cLrAHsmUVsyN0Ak6WN75SokTBJ/REg0iHNmtMzG8jx7cL32267jd3oPqUQxWIxHnroIeeNw+lqLDYzjtbug8ZU4/V70htOwWQzIt1l9l+WNh1Gm2DJYIUVWXaRRbPzTmgOYUvFL8jTuvtTOQiRhbF/aTtqTdVs1h6lC0lgkAeWJ9prmcDe45KucxSvE+5pPFeH9TZElosI68z4m1Y/w2V7fENi9RwksF4+/DIu/+Fy7CjY0dubw/EBpkRPQZgyjM0x3FO8p/WFxRJIU4Ro1nXRbUfGOX2Ddn/Tnjx5EhMmTEBERAQyMzPZje7Tc/TakSNH2O3o0eajRTicznK27gT2VW9nxpje4BqRci0yr7WLtBT1EPZvlbHCrWMwW5uOX8u+YSKqqXgYFzQFkYoYJtxO1x11dh1SkbpS0tg1NiJgHPs3RhGPy2NXt/tndY1SuaYIXe+7Spl2RbJ6JK03cGQW1V39ff/f8eHJD1kaOq8ur7c3ieMDUA3ekuQl7P4v2b+0ubzIPmIHJce7e9M4vlqTtWWLdyc3Dqc7IBNQosRQ5DaepMZUBZvNihB7jZSDerPGeb/KVM5SgeODpjr9pVLUg5mgoiL28w2nm33emqKPMCpgApvR5+qsPiFoOtaVfYv0+tOIVSay5+RiBYu0OZgVuojZNjStBetQurDFSJbL8m1cM/VITZBLqnGgSCyL1YK/7vkrq70h8fr4tMexauiq3t4sjg+lDD8/+zlzfzdYDK07/I+7Fhi+HJaQVGgajAjx452oA9qMlMPpbvZX70CuNgOXRF/NokQUcXL4UpGNAtXZUBTh++LPWXH76oS7WQ2OA8esQeKcPV1ItVkak/B8tCKOCSi9VefRhZ1E0zHNfrfnElWDWBE7FYjTNmwqFwbB0nrIC8kBCUBXcdQSF0ZehsyGswiXR0IqlmFH5cZmYspdZEnbTAd6fN0lekWCsDtwj4/1f5lFkdI/7/gzfs35lYnYZ2c+i0sGXdLbm8XxIcj1fVLUJIyJGAO9Wd+6yAqIxrrcEvzxtY2YnBKKD25qo1ie0/9Ell6vx2uvvcYiWmVlZbBa3f0/Dh8+3JXbxxng0Hw+qnmi2XnklE5jZByUG0qYyNJZGphIIqg2Kkgc4lFkOSDRRnVYVCflJw1AiCwcxYZ8j8s25br4O50pwYURF+H7ki+YB5JDuFBkjLY5sB1F1tT15uh8c428tVTU3lJhujeRrAXhFzFHeD9po7VDVyITydnMRRKnfpIA9GeokPn3236PLflbWLTyX3P+hcVJi3t7szg+Bv29fnjhh14vHxusRJ3BjMN51bBabRCLfa9jl9ONIuuWW27Bxo0bccUVV2DKlCl8pA6n26ATNQms/2/vPsCjrNK+gf/TewJJSEgjJPRepYcmRRBQEeXb16UosPJaEbuuilhQbLiyoIArrq8uLLqgqyhEBGmCUkWaIARCSUJ6zyQz8133iTPOJAGSkMkz5f/jmiszz0yeHM6TZO6cc5/7iEu6NDTzaW61ZUxGWRoSA9pZVVaXoqASeEmwIgFUgUXQYiIBlgj2ClGBh5RhkCCrNiw3W470iVG1l3TGytErKQPRwi8RE5r/yZwcX1deFue3HAeyHHnydqv5L+HarApsU0NF+IYkbbg95i5139lLFki+TZB3ELzdvfHWsLcwOHaw1k0iJ9BRdwhLvP+Go2WxOJXZH60jnPuPFWdX5yDrq6++wvr16zFw4EDbtIjod5YlFyQXK1t3yapvJPASpkBMnCo+rhLWdYYyVbHcNMpUExlxEVVHnW6MvA3bs75VW+NUnW6zTJ6XgEICv/OlZ82J73JMCoLWl5fF+S3zu2SK8P/FzFT365vj1VicPbiy/H8+P+B5TO04Fe1C/9gsnKgmOr0Ouy7uQqR/5BW/XzyLMzDWfRdikIi9Z3IYZDm4Ov82jImJQVAQI2uyPcvpu8yydGSVVwZZkrtkmi6UfKziij9Gso4W/KwCLJGhS7OafqvKVDcpoEol9jDviBpLMUgAVHW0KMLnj6rMNW2Bcy0BimWQJUK8mqqbNU4lNCZZii9V3CXZ3RTwMsCi2nhr71u4d9O9Kgn+imL7qA+d3FLw8+kL7FxXC7LeeOMNPP744zhz5oxtWkT0O8upPpmSSyk+qe5LbpYENFJC4XTxCavpQsvpxFJ9yRXzrExTcLIFjeVolSSwW04Lmp+rYYRGSjmY+DZAkGWpwlj5Rn4lMX4tEOoVjtYBHRr0a1N12aXZmLlxJpYeXIrX9rzGLqI6GRo3VH387ux3VvueVhMSi1K/SHi6GVB8eg972dWCLNlSR5LfExMT1YhWaGio1Y2oriSPKjnji2rFP6uOQskWOKaRpk5BPdT9/bk/XHbfwDJDiVXZhaokl0ZI7paJacqvplGpmqYeLYOsq63uq6uqI1k1kRWIk6Kn4/pm4xr0a5O1jOIM3PnNnTiWfUwVl5zYZiK7iOqkV2QvNPVpityyXOxJ33PlzaJb9FV3m+cfQk7RHyuWyfHUOblDNoY+f/48Xn75ZURGRjLxna7ZL/n7VC7VhdKz+FPsX8zBj2kUSkaXjL+ngcuojdSlaubdHD/n71FTiJYrDi2ZPudqewnK/oBVP6emEgc1BT2Wn9vQBT5rE2Spr3sN2+DQ1V0ovKBGsFILUlU+zYpRK9AypCW7jupEppaHtxiOz058huSUZPSL6nfZ1/q07Acc/wKTIs7DYHT+UijOrM5B1s6dO/HDDz+gW7dutmkROSWp0i77+42OuAVBFjlQUlBUakQJKcPwc/5P6N1koNV0YZRvnArAxPBm49TojYeHH9oGdlIV168WTMl+gjWNaJlW6VnnQenrnF81LHysKmjaNrAzGtKVkvapcZzJP6MCrLSiNMQGxmLF6BWICYxh91O9jIgfoYKsTWc34am+T6kVqjWKqxzJalV6GGBBUodW5/mN9u3bo6SksiYRUW2cKf5N7fMn0307szdZPSdV2C1X8f2ct0dNH1pOF0qF9jYBHTGy2U0I825mfq2p0npVUv9KCoWa+FmMNtU0klXT6FFdinVKsCfBo2kEjpynDtbs5NkqwEoIScDKG1YywKJr0rd5X1X2I6s0CwcuXWHrueZdAe8goGk8UGK9ypmcPMh65ZVX8PDDD2PLli3IyspCfn6+1Y1I7Mv9ARsy1uFU0XFszdpo7hRJXrfMvTr5+yhWS//WCPeOVMnsxwp+ViNKRfrKEg5SLHR4sxuRGFC5z6CJVGuvSaBnIPw8/M2P/S3uXy3IMo2KNcRKwfoaHDZajb7JR9KOl4eXGm3oHNYZH4z+AJEBkbwcdM3fU8Pihqn7P1603knCiqc38NgpZP7PBnybUo4KvXXRb3Li6cIbbrhBfbz++uutjpv2kdPrr74iipyblFT4KXe7up9SfMJckyrWryUOF+zHjuxvEe17l5r2kyBMtArogHJDmQrIJD9LVstJwCOjUpZ5T5akarkHPKCH9fecVBqX7WmuNpIlhURN+jQZjB9zt5oDG8tRKQm4ZBPoxgq8OgR1RfvALsy10ois/DLVIkuKTcLAmIEuU/uLbG9Glxm4q/NdSAxJvOLrDO5eGLxwA4p1emx+ZCgSwmv+PUYutEH0/v37r7U95ATOlpxWH2U0RkakZApuaPgYhHo3+30z5jycLz2jioDKxsxSaDPeL1HlIMm+fZm6DJwrrSwRIvlbV0rsDvZqgpzyLKsEeVktaJmELqNaYyMnYX/uLlwsO1fjSFb3kD5oG9jRvNJQAjNTYdCbo+7AntwdatqysTCZXRsyuiCbPS8ZsQTxwfHqGAMsakhXC65MZDsdH093VOhKoa+yfR05cZA1ZMgQq8d5eXn4+OOPsWLFChw8eBBz5sxpyPaRAzpTUlnPqlNwD3QNvk7VrjJN38X5Jaq9/dJKz6HIq7L0QqRPtAp4vOCt8qwkAJPpRhFYpVBoVXF+CeYgS+pbSYK71L0ybZ1jCpjkdTK9+I+zb5uPW45WSVBjWcpB3lhls2khbRvRjJv+Ortt57bhoS0PoUxfhmU/L8NLg17SuknkynTF+NjwOFr5nMU53SH5k1PrFlE91HsM/LvvvsOf//xnREVFqQ2jx44diz17WDjN1clUy7mSylGoFn6t4OXuZZUfFeVTueWMjChJoFU1t0r2IhSF+sr8Ppk2uxJZidgusDPGRNxq/joSLEnAVTUny3JLHNNmxleiAj8ms7uEb898iwc2P6ACrKGxQ/Fs/2e1bhI5+arVR79/FLO/nX35F3n7Iwbp8HGrgGdh5RZi5OQjWefOncPKlSvxj3/8A0VFRbj99ttRXl6Ozz77DB072nbjWXIMstGyjFz5ewSat7+x1Nw3xrwljmlvQtMxkeDfBjuyvlUjUX2bDkbrwCtXMpcgSKYixYmiI6pmliTQ51jUzjLlZFWdgpNpSqIvT32Jv27/q5raHt1yNBYkLVB/HBDZiq+HL75J+UalNWSWZCLcL7zG1xnqPw5CdqLWV1BGqiSQOnLkiBq5unDhgvpIJHJ0WSg36FS5BtHCL7HGvKJgzyYqkV2CKFk9KL9kZLrQREajRkdMVNNz3euYAyVJ61L9XII2y5EsyQ2rCfOe6NNfP8VT255SAdaEVhPwatKrDLDI5mSlaqewTiqHVKapyXnVOsjauHEjZs6cieeffx433ngjPDwuU0TNzqSmpmLo0KEqQOzatSvWrFlT7TXFxcWIj4/HI488okkbHd2vhYfx7wv/wD9Tl+DXwl/UsXj/VpcNbCynB6XuVdWaVC38E9T+hHUlow+mOlq+FlOUl1tdSK5NprbXnlir3ugmt5uMFwa+cPnikEQ22stwc+rlF5ORCwVZ27ZtQ0FBgdq7sG/fvli8eDEuXboEe+fp6YlFixapEbhvv/0WDz30kJrqtPTSSy+p/xPVz+H8ylWlMk1YbixX03AxlykUKpr7VuZlicjL1Lq6VpYjWb4ef9wnMpEyDbKK8NHej+Lpvk9zFSE1KlO9rB8u/IDSitIaX+PrWfkWHeLH6WunD7L69++P5cuX4+LFi7j77ruxatUqxMTEwGAwIDk5WQVg9kgS87t3767uR0REqE2ss7Ozzc+fOHECx44dU9OhVL9pwgzdRTXtJ8nn3YP7YHj4jVdMGDclv1cNuBqSlHaQ/Q0T/dupelxEpnp+e9P3mjsjxCcEUztN5dQxNbq2TduieUBzlOpLsfvi7hpf4+dV+buriT93k3BUdc6q8/f3x1133YXt27fj0KFDqvq7VIGXAGbChAl1bsDWrVsxfvx4REdHq19069atq/aaJUuWICEhAb6+vujVq5caVasPWf0oQWFcXJz5mEwRLliwoF7nI+DXosOqG6REQgv/RPQNHVKtMntVUi8rwCMQnm6eVgFXQ5LAamL0FIyMqPv3JDlvgLXwp4WY/s10fHL0E62bQy5O3u9kJesVpwwjO1VuseNZ+22+yL5c09KFdu3aYeHChWrV4b/+9a96nUOm7mSzaZl+rMnq1atV7a2nn35aFTtNSkrCmDFjcPZs5YbBQgKvzp07V7tJcr6JbAE0depULFu2zHzs888/R9u2bdXtasrKypx2C6Fs3SWcKDyC3PJs9UZUlcFowJ6cHdiVvcXqeTkunyfqsjmy1KCa0PxPuCVqiqraTmRr8r06f9d8/N/R/1OPueiB7MHwFsPRJbwLWjdpXePzp25chZMT16Ms6I+BAXIsDbKGXZLgb775ZnWrKwmY5HY5b775JmbMmKGS7oXkV23YsAFLly41j0Dt3fvH8P/lAqRbbrkFTz75JAYMGGA+vmvXLjXtKcnwhYWFqhxFcHAwnn22eo0c+VqS9O8spAr7qaJfcaTgANLKzlttSRPjF4/OQT3QzKe5Sg7+LvNLnP59exxJSJfj4kLpWbVCUBLX4/1qTnS/0nQeUWOQ7+FndjyjSjVIgD+v/zzc0uYWdj5prn90f3W7nFuX7kROcTm+nTsYrSNYjNQR2XWhIJ1OpwKoJ554wur4qFGjsHPnzlqdQ0Zepk+fjuHDh2PKlCnVAidToCb1v3755ZcaAywhAdrcuXPNj2Uky3La0ZFUGMqx7uLHyCqvXLgg+VRh3hHI1mWqoElWCMot1relCsYst6I5V5JiDrJkVaFoHdDevNcbkT0p15fj8W2PI/lMspqelhpYNyRU7r9KRGRrdv3OmJmZqTacjoyMtDouj9PSalcBd8eOHWrKUco3mPK9PvroI3TpcuVK4lX5+PiomzPYn7dbBViy4XGX4F5oH9hVTduVG8qRXnZeTQFKYc9zpSnmyuhSkuFk0VG1p2AP9FOjA6bNn9sEdIKj6BzUE78U7EOPkH5aN4VsTG/Q48HND2Lb+W2qvMcbQ97AsBaVK7qI7EmBrgDHso/huubXWR2XbXUCvAuBvM+AiK6atY+cNMgyqZo/IaNTtc2pGDRokEp2vxoZ7XKV1YAH8nabi3daJqnLG1GsX0t169VkAA7m/6hGtwaEXq+ekyBLtsKRoqPnS8+qcg0yvWhZTNTe9Q8dpvLHTPW0yHlJzauekT3xU9pPeHvY2xgQ80eqAJG9uFR8CaM+HaXub/1/WxHk/ce0YBQuoal7Ac7oKzRsITltkBUeHq7yvaqOWmVkZFQb3aKrk+B0e3ayqrYuFdllC5sr5UwlhY2y+txAj2C1p+DF0nPmHC05hyMlEUtOTjMffu+4ipldZmJswlhEBzrOHwLkWpr5N0NsUCxS8lNUKYcR8SO0bhI1ILveGMnb21utHJQ6XJbksWUCO1UnuVP/TVuN9emf4mThUTW9d6LoMC6UpqrclEGhI+oUHMlrZYRLpJacxpnik+p+wlXKNRA1ppzSHMzbOQ9F5X8UHGaARfZuUMwg9XH7+e1aN4WcbSRLVvWdPFn5hi1Onz6NAwcOqKKhLVq0UMnmkrAulealIKqUYJDyDbNnX2H3chdWUJ6HnTmbzflSpqBI8q9M5RdkKjDIK6TO5471i8exwp9xtPBnlRDv6+5vtUUOkZZko91ZG2fhZO5J5Ovy8ebQN3lByCEMjBmoyotI/mBd0mHI/mkeZEmB0GHD/khGNa3gmzZtmlrxN3nyZFXjav78+aravNS/Wr9+vdprkKzrAO3P26WS2iUAkhWDnYJ6qPIKxwt/UasGRVOvcHQJ7l2vrovxrexzOb9o6d+aW5GQXUgrSsPMjTNxJv8MIvwicF/3+7RuElGt9Y7sDR8PH2QUZ+BE7glVDd68rU4FEOTLbXUcleZBlmzeXFMBTEv33HOPulHNJOj57tJ6nCo+rh5H+7bAwNDrEeodbh65OldyBudLU9AhqFu9t5mRPQDDvSORqUtXj69W2Z2oMaTmp6oA60LRBUQHRGPFqBWIC3bM8irkmnw9fdXKQpkulJspyFLb6lQAoQHcVsdR2XVOFl2dzqDD1+n/UQGWO9wxLHwMxkXebg6wTMneLfwT1Mq6Jl6h19StprwsGSGTYI5IS6fyTqltciTAig+Ox4djPmSARQ6dl7Xj/I4/DoYmAGGtAQ/XGMlyg/PRfCSLrk6S1X/I3gyDUV+5R6BfIiJ9Y6AzlOHr9M9wSZcGTzcvjI642RwE2UrbgE44VvCzmorkxsuk9RT5o98/ioySDLUtyfJRyxHu98cfF0SOZHjccLUoSfKzTC7e/hUMRiAiyAeuEWY5Hzfj1ebqqEZS8T0kJAR5eXlqKx5b0Bv12JO7w1zXypK3mzc83b1QrC+Cr7sfxkTeigifKF4tciknck7g9T2v45WkV9DUt6nWzSFqUD3mb3SJbXXeS3lNffQwGDEz8TGneP824UiWHRcN/S7zK3P+U7vALoj1jVcrBc+WnEapoRg6vU7Vrrqx+W3XPA1I5CiKy4vh7+Wv7rdp2gbvjXxP6yYREdWIQZYdOlJwED9kf4cKY4UqvWBZmb11YAe1UECmCDPKLiLRvy38PQO1bjJRo9h5YSce3/q4Ks9QdQsSImfYXuerU1+pwqRP9HkC7xuehZ93ITzzVgERnbVuHtUDgyw7IyNV27I2mksmSCJ7gKf1MLHUUJGpQU4PkivZkroFc7fMVXtsrj6+mkEWOR0pGv3y7pdhhFHtVpCAc79vq6PTumlUT1xdaGeOFvysPsr+ejdG3lYtwCJyRd+c/gYPbX5IBVgjWozAgkELtG4SUYOTvML2oe3Vfdlix9W4wfkwyLIjpfoS83Y1XYN7seovEYB1J9fh8W2Pq+nzcYnj8NqQ1+DlIkvayfX0i+qnPu66uEvrplADYJBlR04WHVWbN4d7RyDMO0Lr5hBpbtWxVXhmxzOqXMOtbW7FS4Negqc7sxzINYIsLv13fAyy7MivhYfNU4VErk4WePyY9qO6/+cOf8Zz/Z/jNk7k9HpE9oCXu5faKirDt/IPikAf/mHhqHjl7ES27pJaMShV21sHdNC6OUSakwUerya9iqFxQzE+cTynz8kl+Hn6oUdED/UHxgF/L7QvBcICfbRuFtUTR7LsxPHfR7Fa+CfCz6OyBhCRK45ebUjZoKYHheReTWg1gQEWuZS+UX3VjhrpfsFAcAzAKXKHxZEsOyBvKCd+D7LacaqQXPjnYMHuBVh1fBX+1P5PeKrvU1o3iUgTk9tNxh0d7kB5uRdyjECQr6dTv1k3LatAjo8n4ovK4Wyc+bo5jHMlKSgxFKvtceL8ErVuDlGj0xv0mPfDPLWS0A1uqpI7kasK8QlRH3sscI1tdcZdKEBKgDdaFujhbBhk2YHjhb+oj60DOnLTZXI5UvvqqW1P4ZuUb9T3/wsDX8D4VuO1bhaRnaicOndm/nojOuaXocIJQxLn+x/ZofzyXPh5BKgVIzXVxkr5vTZWu8BOGrSOSDuy/+Yj3z+CzambVWmGhYMXYmT8SF4Scnn70vchpvlj6FxhgGe+bKvT0eX7xBExyLKxM8W/YUPGWhVkJYWNQEt/62mQ34qOwQA9wryaIdwn0tbNIbKrJPeHtzyMLee2wNvdG28NewuDYwdr3SwiuxDgFYAzPnpc8jJAryuEK9C7eTldUMLVhTakN1ZgZ/Z3ah+qYn0hNmSsQ3LGFyjWF1WbKmRtLHLFEg0TWk9AoFcgloxYwgCLyILkJfoZjCh2d0da2SWn7psffCegwK0pdvvfBGfjbEGjXfklfz/yK3Lh7xGANgGd8HP+TzhVfBznS8+gf9NhiPBpbq6N1SaQtbHI9cjUYJ/mfcyJvkRUyd3NHd5GI0rgpv5Qd2Zpnonq5uGEwz5O+F+yDyX6YuzL3anuX9ckCf1Ch2Bi1BSEe0eizFCKLVlf44u0Vep5WVEo04lEzi67NBv3f3c/LhReMB9jgEVEzopBlo3syd0OnVGn9iE01b6SnKtbov6Mvk0Hw8PNE6WGEnWcCe/kCjKKM3DnN3diS+oWPLHtCZWTRURX5+ftwW5yUJwutNEWOUcLflb3+4cOt6pWLUPA3UP6IsG/LXblbJHMFLTwb2WLZhDZDRm5mrlxJlILUhHpH4n5A+azijvRVZjeO5r6e7OvHBSDrAYmf53vzN6s5tAT/dsi2jeuxteFeDXF6IhbGvrLE9mdM/lnVIAlG97GBMbg/dHvq49EdGUtDG5oatDDy51BlqNikNXAzpacUont7vBA36ZDGvr0RA7lZM5JzEqehcySTLQMbokVo1YgMoClSohq4/2pB9RHb2fMCHcRvHINSG/U44fszep+1+BeCPZq0pCnJ3I4r/z4igqwZDn6Bzd8wACLqA76L9iE9s98g1OZrlEnyxkxyGpAh/P3I68iB37u/ujRpF9DnprIIb0y+BWMTRiLD0Z/gHC/cK2bQ0TUqBhkNRDZHmdv3u8lG5omwdvdp6FOTeRQZOTKRAKrVwe/yjINRPUQF/kE2iU+hcxLe12i/7w9nS8kcb7/kUb25O6AzlCmtscxlWwgcjXbz2/H2P+MxecnP9e6KUQOL9urDBd8DKhw8m11BrZvgiYBnujXzvlSbBhkNYAcXSaOFBwwl2yQMg1ErmbTmU2q0GhJRQk2nd3EOlhEVCsRTXwwrEsYmgR4wdkwGmgAP+XuUCUbWvq3Roxfi4Y4JZFD+erUV3j4+4dRYajAqPhReGPIG6yDRUQujyUcGsCgsBHwdfdDt5DrXP4bilzPf078B/N2zlN/aExoNQHPD3genu781UJExN+EDUA2gB4cPorfTeRyPj76sSrTIG5vezue7vc0p8uJGpivFyedHBWDLCKqt6ySLPVxasepeKT3I5wiJLLBtjqhAVyt7qgYZBFRvd3f4370iOiBQTGDGGARNbBIgxF+BgM83LhBtKNyM8pme1Rn+fn5CAkJQV5eHoKDg9mD5BLk18Xak2tVgVFfT1+tm0NEZNfv304/0ZuamoqhQ4eiY8eO6Nq1K9asWWP1/OnTpzFs2DD1fJcuXVBUVKRZW4nsPcB6bc9reG7nc5izZQ4MRoPWTSJyaj1fSEbCk1/hZEaB1k2henL66UJPT08sWrQI3bt3R0ZGBnr27ImxY8ciICBAPT99+nS8+OKLSEpKQnZ2Nnx8OPdNVJUEVC/vfhmrj69Wj4fGDmWCO1Ej/GHDuSbH5vRBVlRUlLqJiIgIhIaGqmBKgqzDhw/Dy8tLBVhCniMia3qDHs//8LyaJnSDG+YNmIeJbSaym4hsLCHiaUS7VSDz0ttoHTGY/e2ANJ8u3Lp1K8aPH4/o6GiVOLtu3bpqr1myZAkSEhLg6+uLXr16Ydu2bfX6Wnv27IHBYEBcXJx6fOLECQQGBmLChAlqhOvll1++5v8PkTOR4qJPbX9KBViyk8FLg15igEXUSDK8i3HWtwIVunz2uYPSfCRLcqC6deuGO++8E7feemu151evXo05c+aoQGvgwIF47733MGbMGBw5cgQtWlRWV5fAq6ysrNrnbty4UQVvIisrC1OnTsWKFSvMz5eXl6uA7cCBA2qU64YbbsB1112HkSNH2vT/TOQoXtz1ItafXg9PN0+8MvgVjG45WusmERE5DM2DLAmY5HY5b775JmbMmIGZM2eqx5JftWHDBixduhQLFixQx/buvfIO5RKA3XLLLXjyyScxYMAA8/HY2FgVVJlGtiRXSwKumoIsOYdlICerE4ic3aS2k7A5dTPm9Z+HYS2Gad0cIiKHovl04ZXodDoVQI0aZV1NXR7v3Lmz1omDktw+fPhwTJkyxeo5CbDS09ORk5OjphFl6rJDhw41nkcCOlnyabqZAjMiZ9Y5vDO+nvg1AywiImcLsjIzM6HX6xEZGWl1XB6npaXV6hw7duxQU46S6yUrDOV26NAh88pDycMaPHiwKu/Qpk0bjBs3rsbzyCiY1NQw3aQ0BJGzKS4vxgPfPYCfL/1sPubv5a9pm4hcnTe31XFYmk8X1mVrAcvRqarHLmfQoEFqlKq+05UmUtqB5R3ImRXqCnHPpnuwP2M/jmUfw1e3fAUvDy+tm0Xkskzvc+HcVsdh2XWQFR4eDg8Pj2qjVlLvquroFhHVX15ZHv732//FocxDCPIKwutDXmeARaSxEIMRMBrgbt+TTuSoQZa3t7daOZicnKwS103k8U033aRp24icRU5pDv6S/Bc1etXEpwneG/keOoZ11LpZRC7vyzt/n7Z3Y5DlqDQPsgoLC3Hy5EmrbW5khZ8UBpUSDXPnzlUJ671790b//v2xbNkynD17FrNnz9a03UTOILMkE7M2zsLJ3JMI9Q3F8lHL0bZpW62bRUQABi78HrnFOnxx/yC0ahbIPnFAmgdZUiBU9g40kaBKTJs2DStXrsTkyZNVjav58+fj4sWL6Ny5M9avX4/4+HgNW03kHN49+K4KsCL8IrB89HIkhiRq3SQi+l2xrgJFOr3KQybH5Gbk1bP7XbyJbKW0ohQv7HoBs7vORlwwy5IQ2ZNJS/pB51aOp4e8jb4dB2ndHKeR34jv35qPZBFR48ouzUZTn6Zq5ZKvp6/aKoeI7E+abwHyPNxRXpardVOonphNR+RCTuedxm1f3IZF+xZxCoKIyMYYZBG5iN9yf8Od39yJjJIMbD23FcUVxVo3iYjIqTHIInIBJ3JO4K4NdyGrNAvtmrbD+6PfR4BXgNbNIiJyaszJInJyx7OPqzINOWU56BDaActGLkMT3yZaN4uIasnLo3Y7nJD9YZBF5MSkwKgEWLlluarAqARYIT4hWjeLiOqwrU6zIF/2l4PidCGRk08TypY5ncM6M8AicjDeRiN81N67HMlyVBzJInJi41uNh7+XP/o074Mg7yCtm0NEdbDpjl2AFCL1Zv6ko+JIFpGTOZJ1RG2XY3J9i+sZYBE5oOsX70Xv13fjVFaJ1k2hemKQReREDl46iBkbZmDmhpmq6CgROa7sIh0yC3UwcFsdh8Ugi8hJHMg4gLuT70ZheaFaPejrwWRZIkfWNmw+erSYj+ysX7RuCtUTc7KInMC+9H3432//VxUYlfyrd4a/o3KxiMhxnffLUdvq6EqztG4K1RNHsogc3J60PZj97WwVYPWL6ofF1y9mgEVEZAcYZBE5sL3pe3HPpntQUlGCAdED1AiWn6ef1s0iIiJOFxI5tuiAaIT6hqJlSEu8Pext+Hj4aN0kIiL6HXOyiBxYVGAUPrzhQ5XozgCLyDlxWx3HxelCIgecItx0ZpP5cWRAJAMsIifEbXUcH0eyiBzI/oz9ahWhTq9T2+T0ieqjdZOIiOgyGGQROVChUQmwJMm9b1RfdG3WVesmEZENbb31WwBGwD+M/eygOF1I5AAOXTqE2cmzUVReZK6D5evJYqNEzmz8hycw+N2jOJNbrnVTqJ44kkVk5w5nHTZXcu8V2YtlGohcxPmcEuQUl6PCYNC6KVRPDLKI7Nj5wvP4y8a/oKC8AD0jemLJ9UtYaJTIRbQPfRm6UB1ycsKBiL5aN4fqgUEWkR2LCojC6Jaj8WvOr1gyggEWkStJ9b+kttUpK76kdVOonhhkEdkxdzd3/LXfX1FaUcoRLCIiB8PEdyI7k5KXgpd2vYRyQ7k50OJmz0REjocjWUR25ELhBcxKnoW0ojS1evDh3g9r3SQiIqonjmQR2YlLxZcwc+NMFWAlhCRgeqfpWjeJiOyAh7ub1k2gemKQRWQHckpzMGvjLKQWpCImMAbLRy5HmB8LEBK5MtO2OpHBrInnqBhkEWmsQFeg6mD9lvcbIvwjsGLUCrUfIREROTbmZBFpyGg04qEtD+Fo9lGE+oZi+ajliA2K5TUhImwYtwYwGuDbtBV7w0FxJItI4+mAWV1mIdI/Eu+NfA+JIYm8HkSkTPssB7d8nIVz+az47qg4kkWkMdnsef3E9fD28Na6KURkR05mFKptdXR6vdZNoXriSBaRBlOESw4swancU+ZjDLCIqKr2TV9D75iFyM05zs5xUAyyiBrZ+7+8j6UHl2L6N9ORr8tn/xNRjVIDLuB4cDZKi9PYQw6KQRZRI/rvb//F2/veVvfv7nY3gr2D2f9ERE7K6YOs1NRUDB06FB07dkTXrl2xZs0aq+ffeustdOrUST3/wAMPqKkcIlvYdXEXnt35rLo/reM03NHhDnY0EZETc/rEd09PTyxatAjdu3dHRkYGevbsibFjxyIgIACXLl3C4sWLcfjwYXh5eWHw4MHYtWsX+vfvr3Wzyckczz6OhzY/hApDBUa3HI25vedq3SQiIrIxpw+yoqKi1E1EREQgNDQU2dnZKsgSFRUVKC0tVffLy8vVa4gakmyTc8+me1BYXohekb3w0qCX1KbPRES14f575XdyPJr/pt+6dSvGjx+P6OhoVTNo3bp11V6zZMkSJCQkwNfXF7169cK2bdvq9bX27NkDg8GAuLg49bhZs2Z45JFH0KJFC/X1R4wYgVatWPSNGpafpx9iA2NVDay3h70NHw8fdjER1XpbneYh3FbHUWk+klVUVIRu3brhzjvvxK233lrt+dWrV2POnDkq0Bo4cCDee+89jBkzBkeOHFHBkZDAq6ysrNrnbty4UQVPIisrC1OnTsWKFSvMz+fk5ODLL79ESkoK/Pz81Hkl6JNpQ6KGEuITgmWjliG/LF/dJyIi1+BmtKNMb4na165di5tvvtl8rG/fviqPaunSpeZjHTp0UK9ZsGBBrc4rAdjIkSMxa9YsTJkyxXxckuC3bNmCv//97+rxa6+9phLfH3vssRrPYRnI5efnqxGxvLw8BAdzhRhZMxgN2HVhFwbEDGDXEFG9ZKXugtFQgSbNu8PTJ5C92EDk/TskJKRR3r81ny68Ep1Oh71792LUqFFWx+Xxzp07a3UOCZqmT5+O4cOHWwVYQoIkOY/kZOn1ehVwtWvXrsbzSEAnF8V0M005EtXkb/v+hru/vdtcroGIqK7mbHTDjC/dcLHIrt+q6Qrs+splZmaq4CcyMtLquDxOS6tdcbYdO3aoKUfJ9ZIVhnI7dOiQeq5fv35qpWGPHj1UeQfJx5owYUKN53nyySdV1Gu6SWkIopqsOrZKFRwVLYNbspOIqF5+OZ+Hg6m5KKvgtjqOSvOcrLok/1mOTlU9djmDBg1Sye6X89JLL6nb1fj4+Kgb0ZV8d/Y7LPixchr7vu734abWN7HDiKhe2jdZhIqQMuTlRgMRPdiLDsiug6zw8HB4eHhUG7WSeldVR7eItHbw0kE8vvVxlY91a5tb8Zeuf9G6SUTkwFIDzyDPwx0lRecBMMhyRHY9Xejt7a1WDiYnJ1sdl8cDBjChmOzHmfwzuH/T/SjVlyIpJgl/7ffXWo+2EhGRc9J8JKuwsBAnT540Pz59+jQOHDigioZKiYa5c+eqhPXevXurSuzLli3D2bNnMXv2bE3bTWRpb/pe5JTloFNYJ7w+5HV4umv+o0VERBrT/J1ACoQOGzbM/FiCKjFt2jSsXLkSkydPVjWu5s+fj4sXL6Jz585Yv3494uPjNWw1kbWJbSYixDsE3SK6wd/Ln91DRETaB1myefPVSnXdc8896kZkT2QfwjJ9GQK8Krdouj7+eq2bREROiJkHjsuuc7KI7JX8YfDy7pcx9eupSC9K17o5ROSETHmdUSF+WjeFHHUki8gRrTi0Amt+XQM3uOFo9lFEBnC1KxERWWOQRVRHn/76Kf62/2/q/uN9HsfQuKHsQyJqcKuT3oDBUIHI5r3Zuw6K04VEdZB8Jhkv7HpB3Z/VZRbu6HAH+4+IbOK5nWF4dEsY0ku92MMOiiNZRLW0++Juc7HRSW0n4f4e97PviMhm9qRkI6e4HKXl3FbHUTHIIqoFCawW/rQQ5YZyjIwfib/2ZbFRIrKt9sFLUB5Uhvz8OCCiK7vbAXG6kKg2Pyhu7nhn+Dtqu5xXkl6Bh7sH+42IbCo1+ASOh55DccFZ9rSDYpBFdAXHs4+b70cHRmPegHnw9vBmnxER0VUxyCKqgRQZlTpYt/33NmxJ3cI+IiKiOmNOFlEVx7KP4antT+FEzgn1OCUvBYhjNxERUd0wyCL6XW5pLpYcXILVx1erRPdQ31DMHzAfQ+KGsI+IiKjOGGQRAap6++s/vY7iimLVH6PiR+Gpvk8hzC+M/UNEmm6rE92E2+o4KgZZRAAi/SNVgNUhtAMe7v0w+kb1Zb8QEdE1YZBFLienNAcfHP4AYb5hmNZpmjqWFJOEFaNWoE/zPua/HomItPRhn3nQG3SIad6DF8JBMcgil6HT6/Dh4Q/V5s4yahXkHaTqXgV6B6rAiqNXRGRPFv3cCkVlFXghzg/RnDF0SAyyyCXsTd+LeTvnISU/RT2WacF7u9+LAK8ArZtGRFSjbScuqW11ntRVsIccFIMscmp6gx7LDy3H0oNL1YpBmSKUnKtxieM4LUhEdq1d0AqUB5ShID8eiOisdXOoHhhkkVM7kXsC7x58VwVYE1pNwBN9nlDThERE9u5cyGHkebijqEBG4BlkOSIGWeTU2oe2VyNXIT4hKsgiIiJqLAyyyOnkleWhpKIEzQOaq8dTOk7RuklEROSCuHchOd0Kwgc3P4hZG2chsyRT6+YQEZELY5BFTmXhTwvVSsJLJZdUPSwiIiKtMMgip7EhZYPad1C8Nvg1tGnaRusmERHVm6kwclSIL3vRQTHIIqcgo1Yv7npR3Z/ZZSaSYpO0bhIRUYPgLhSOi4nv5BRe3/M6csty1ejVPd3v0bo5RETX7N3uD0OvL0N0RDf2poNikEUO73DmYXzx2xdwgxvm9Z8HL3cvrZtERHTN/vlbLxTqKvDXNgGIYn86JAZZ5PD8vfwxNHaoKjLatVlXrZtDRNQgNh5JU9vqPDSC+aWOikEWObyEkAS8c/07KDeUa90UIqIG0zbwI5T7laKwMBGI6MCedUAMsshpcJqQiJzJ+Sb71LY6hXm/ybb2WjeH6oGrC8lhnS88r+pipRakat0UIiKiahhkkcOSmlgfHfkI83+Yr3VTiIiIqmGQRQ5Jb9Djq9++Uvcnt5usdXOIiIiqYZBFDkm2zskoyVArCgfHDta6OURERNUwyCKH9NXpylGsUfGj4O3hrXVziIhsVuk9Mpjb6jgqBllklwxGA2ZsmIGntj2FU3mnrJ4r05chOSVZ3b8x8UaNWkhE1Dg83CuDLXI8Th9kFRQU4LrrrkP37t3RpUsXLF++3Or5L7/8Eu3atUObNm2wYsUKzdpJ1tzd3NE3qi/+e+q/mPTFJOxL32d+bvu57SgoL0CEfwR6RfZi1xGRU3q74yy832YqmjfrpHVTqJ6cvk6Wv78/vv/+e/WxuLgYnTt3xsSJExEWFoaKigrMnTsXmzdvRnBwMHr27KmeCw0N1brZLqu0ohS+npVD40kxSfjhwg/Yk74HT2x7AmvGr0GITwhyynLUx7EJY1UwRkTkjL5IH4GisgrEd24Cf60bQ/Xi9O9QHh4eKsASpaWl0Ov1MBqN6vGPP/6ITp06ISYmBkFBQRg7diw2bNigcYtd1+azmzFu7TjsOL9DPe4Q1gGLr1+M2MBYXCy6iBd2vaCu3aS2k7D5ts2Y1XWW1k0mIrKZzw+cx5q951BQyt0sHJXmQdbWrVsxfvx4REdHqyS/devWVXvNkiVLkJCQAF9fX/Tq1Qvbtm2r09fIzc1Ft27dEBsbi8ceewzh4eHq+IULF1SAZSLPnz9/vgH+V1RXuaW5mL9rPtKL07E7bbf5eIBXABYOXghPN09sSNmAtSfXquNeHl4I9g5mRxOR02od8G90C12FoqILWjeFHDXIKioqUgHQ4sWLa3x+9erVmDNnDp5++mns378fSUlJGDNmDM6ePWt+jQReMg1Y9SZBlGjSpAkOHjyI06dP45NPPkF6ero6bhrRqmk1BzUeuQ4LflyAzJJMJIYk4t7u91o936VZF9zbo/LYJ0c/qfG6ERE5m4tNf8CpyAMoyD2hdVPIUXOyJGCS2+W8+eabmDFjBmbOnKkeL1q0SE3pLV26FAsWLFDH9u7dW6uvFRkZia5du6rRs9tuu02NYlmOXJ07dw59+/at8XPLysrUzSQvL099zM/Pr+X/lKo6X3Aeyw8tx+6Lu1WeleRXPZH0BMqKyiD/LE1qMQn7z+7HgYwDOJV+Cs38m7FDicipVZToofcwoqiwmO81Dcj0vt0of7Ab7Yg0Z+3atebHZWVlRg8PD+N//vMfq9c98MADxsGDB9fqnGlpaca8vDx1Xz527NjRePDgQfW4vLzc2Lp1a+O5c+eM+fn56n5mZmaN53nuuedU+3hjH/B7gN8D/B7g9wC/Bxz/e+C3334z2prmI1lXkpmZqRLVZQTKkjxOS0ur1TlkdEpGwiSGk9t9992nRrOEp6cn3njjDQwbNgwGg0Hla8mqw5o8+eSTaiWiZZ5XfHy8mrYMCQmBvZByFT/99JPdnbeun1+b11/ray73XE3H5S+fuLg4pKamqpWo9oLXu/b9wettu+8j/nzbBn++bfPzLTNRLVq0aJRKAnYdZF0uT0qCpdrmTkm+1oEDBy77/IQJE9Ttanx8fNStKgmw7OlNV1ZT2qI913reun5+bV5/ra+53HNX+hw5zut9dbzetsGf79r3B3++bfd95Cw/3+7u7s6f+H4lsgpQOqjqqFVGRka10S2qdO+91knj9nLeun5+bV5/ra+53HO26kNb4PWufX/wetvu+4g/37bBn2/H//l2kzlD2AkZnVq7di1uvvlm8zFJRJfRKCnjYNKxY0fcdNNN5sR3Lcj0kYxiybCjPY1skG3wersWXm/XwuvtWvIb8f1b8+nCwsJCnDx50vxYyizI9J7MlcqcqeRBTZkyBb1790b//v2xbNkylQc1e/ZsTdstU4fPPfdcjVOI5Hx4vV0Lr7dr4fV2LT6N+P6t+UjWli1bVOJ5VdOmTcPKlSvVfRnFWrhwIS5evKjqX7311lsYPHiwBq0lIiIicpAgi4iIiMgZ2XXiOxEREZGjYpBFREREZAMMsoiIiIhsgEEWERERkQ0wyGoEsn1P9+7d1c200TU5t+LiYrXt0iOPPKJ1U8iGCgoK1LYd8rPdpUsXLF++nP3txGRbraFDh6pajbI925o1a7RuEtnYLbfcgqZNm2LSpEn1+nyuLmykyvWyDyO5jqeffhonTpxQtd5ef/11rZtDNiJ7q5aVlcHf318F1lJiRvZJu9weqOTYpIxQenq6Cqpl55GePXvi+PHjCAgI0LppZCObN29W9Tw//PBDfPrpp3X+fI5kETUwCa6OHTuGsWPHsm+dnGz7JQGWKC0tVUEXq+I4r6ioKBVgiYiICFU0Ozs7W+tmkQ1JHc+goKB6f77LB1lbt27F+PHjER0drbb1WbduXbVOkmKoCQkJ8PX1VVv8bNu2rc4l/OXzBg0ahO+//77eF4sc43rLFKGWWz5R417v3NxcdOvWDbGxsXjsscfUyDU57/U22bNnDwwGA+Li4hqg5WTv17u+XD7IKioqUr8gFy9eXGMHrV69GnPmzFHTP/v370dSUhLGjBmjtvYxkQsn0wRVbxcuXFDPp6SkYO/evXj33XcxdepUFXSRc17vzz//HG3btlU3co2f7yZNmuDgwYNqS7BPPvlETSeR815vkZWVpX6XyzZv5PzX+5pIxXeqJN2xdu1aq+7o06ePcfbs2VbH2rdvb3ziiSfq1W033HCD8aeffmKXO+n1ltfFxsYa4+PjjWFhYcbg4GDj888/36DtJvv9+ZZz/fvf/+YlcuLrXVpaakxKSjL+85//bLC2kn3/fG/evNl466231qtdLj+SdSU6nU6NQI0aNcrquDzeuXNnrYLYnJwclRgrzp07hyNHjiAxMfEawmKy5+st04SyAklGLyXhfdasWXj22Wdt1GLS+nrLqJVpZFo+yvRFu3bteGGc9HrLe/n06dMxfPhwTJkyxUYtJXu53g3Bs9G+kgOSFYGSyBoZGWl1XB6npaXV6hxHjx7F3XffDXd3dzVn/Pbbb6tkSXLO602udb3lD6cZM2aoN1+53XfffWppPznn9d6xY4eagpJrbMr/+eijj1T5DnLO3+ejR4/Gvn371NSk5F2uXbtWlW2pLQZZtSDBkSX5ZVr12OUMGDAAhw4dqvUFIce+3pbkL15y7ust+RwHDhywUcvI3q63LF6SZHdynd/nGzZsuKavz+nCK5BVQrJEu2rUK/VRqkbH5Ph4vV0Lr7dr4fV2LeF28v7NIOsKvL291V+qycnJVsflsYxQkXPh9XYtvN6uhdfbtXjbyfu3y08XSiXXkydPmjtElmHL8L/kTUm17rlz56oEx969e6N///5qya4s/5w9e3ajXSRqOLzeroXX27XweruWQkd4/za6OFmaKd1Q9TZt2jTza/7+97+rJfne3t7Gnj17Gr///ntN20z1x+vtWni9XQuvt2vZ7ADv39y7kIiIiMgGmJNFREREZAMMsoiIiIhsgEEWERERkQ0wyCIiIiKyAQZZRERERDbAIIuIiIjIBhhkEREREdkAgywiIiIiG2CQRUSkIZ1Oh9atW2PHjh0Net4vv/wSPXr0gMFgaNDzElHtMcgiogYzffp0uLm5VbtZ7i9G1mQ/tfj4eAwcONB8TPps3bp1NfbvzTffXKsuHDdunDrPJ598wi4n0giDLCJqUDfccAMuXrxodUtISKhxBIeAd955BzNnzrRJV9x5553q/ESkDQZZRNSgfHx80Lx5c6ubh4cHhg4divvuuw9z585FeHg4Ro4cqV5/5MgRjB07FoGBgYiMjMSUKVOQmZlpPl9RURGmTp2qno+KisIbb7yhzjVnzpwrjvw0adIEK1euND8+f/48Jk+ejKZNmyIsLAw33XQTUlJSqo0Svf766+rryGvuvfdelJeXm19TVlaGxx57DHFxcer/2aZNG7z//vswGo1qyk8+19Ivv/wCd3d3/PbbbzX21b59+9Qo34033ljnfpa21zRqKH1jMmHCBPz44484depUnc9PRNeOQRYRNZoPP/wQnp6eKv/ovffeU6NcQ4YMQffu3bFnzx588803SE9Px+23327+nEcffRSbN2/G2rVrsXHjRmzZsgV79+6t09ctLi7GsGHDVKC2detWbN++Xd2XUTfLETX5OhIQyUdpqwRploGaBHurVq3C3/72Nxw9ehTvvvuuOo8EN3fddRc++OADq6/7j3/8A0lJSWjVqlWN7ZK2tG3bFsHBwagrCfQsRwv379+vAsPBgwebXyPTkBEREdi2bVudz09EDcBIRNRApk2bZvTw8DAGBASYb5MmTVLPDRkyxNi9e3er1z/zzDPGUaNGWR1LTU01yq+m48ePGwsKCoze3t7GVatWmZ/Pysoy+vn5GR988EHzMXn92rVrrc4TEhJi/OCDD9T9999/39iuXTujwWAwP19WVqbOs2HDBnPb4+PjjRUVFebX3HbbbcbJkyer+9Ie+TrJyck1/t8vXLig/u+7d+9Wj3U6nbFZs2bGlStXXra/5P8wfPjwasfl6/j6+lr1o9w8PT2NN910U7XXl5SUGPv27WscN26cUa/XWz3Xo0cP47x58y7bBiKyHc+GCNSIiExkxGjp0qXmxwEBAeb7vXv3tuooGZGSUSMZDapKRpRKSkrUSFP//v3Nx0NDQ9GuXbs6dbh8HZmWCwoKsjpeWlpqNZXXqVMnNbVpItOGhw4dUvcPHDignpORt5rIa2XaT0av+vTpo1b3yflvu+22y7ZL/n++vr41PvfWW29hxIgRVscef/xx6PX6aq+dMWMGCgoKkJycrKYnLfn5+amRPCJqfAyyiKhBSVAl+UmXe86SlBcYP348Xn311RqDlhMnTtTqa8p0XeUA0B8sc6nk6/Tq1Qsff/xxtc9t1qyZ+b6Xl1e185pKIEiwcjWSwC45ZRIgydSh5ID5+/tf9vWSm2YK4qqSXLaq/ShBYm5urtWxF198UU2zSu5V1SBSZGdnW/0fiajxMMgiIs307NkTn332GVq2bKlytaqSIEMCn127dqFFixbqWE5ODn799VerESUJIiQvyUSCM8vRG/k6q1evVvlJ9cl/El26dFEB1/fff19thMlEEvglkJSRvK+//lrlXF2J1LGS10qAKAFdXUnfzZ8/X32tmvK+TCN18nWIqPEx8Z2INCOr92Sk5U9/+pN5FZwkt0sSuUyLyTSiTIVJ8vumTZvUaj1ZBVh1Smz48OFYvHixWq0nCfSzZ8+2GpW644471KiRrCiUJPDTp0+rYOnBBx/EuXPnatVWCQSnTZum2iYrGeUckoT/73//2/wamU6U9j355JMqQLSc5rzc1Kqsnjx8+HCd+076QhLxZQpRpjnT0tLUTfrTRIJTWQV5tXYQkW0wyCIizURHR6uVhhJQjR49Gp07d1aBT0hIiDmQeu2119SKOSlHICNIgwYNUlN/lqSsg6y2k9f9z//8Dx555BGraTq5L6NKMho2ceJEdOjQQQVLkhNVl5EtGXWaNGkS7rnnHrRv3x6zZs1SQZIlCQolj0zOfzWyGlDaU9M05tVIMCmjdTJdKFOrppucz+Rf//qXCjCvNGVJRLbjJtnvNjw/EVGDk1pQUvZh0aJFdte7EjRK+2SETOp+XY3kZEnwWFNi/rW4dOmSCgQlGKupGCwR2R5HsoiIGoAUKpVA6ZlnnlF1vmoTYJlyvRYuXGhVGLUhyHTmkiVLGGARaYiJ70REDUCm5mSqUEbYPvroozp9ruR6NTQpIyE3ItIOpwuJiIiIbIDThUREREQ2wCCLiIiIyAYYZBERERHZAIMsIiIiIhtgkEVERERkAwyyiIiIiGyAQRYRERGRDTDIIiIiImKQRURERASH8P8Bz1TH21U7eiwAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "obs_data_np = lisa.tdi_data.fd_data_numpy\n", "tdi_resp_np = lisa.tdi_response_numpy\n", "\n", "tab20_colors = plt.cm.tab20.colors\n", "fig, ax = plt.subplots()\n", "\n", "line_data_A, = ax.loglog(freqs, np.abs(obs_data_np['A']), color=tab20_colors[1], label='data A')\n", "line_data_E, = ax.loglog(freqs, np.abs(obs_data_np['E']), color=tab20_colors[3], label='data E')\n", "line_data_T, = ax.loglog(freqs, np.abs(obs_data_np['T']), color=tab20_colors[5], label='data T')\n", "\n", "line_resp_A, = ax.loglog(freqs, np.abs(tdi_resp_np['A']), color=tab20_colors[0], linestyle='dashed', label='resp A')\n", "line_resp_E, = ax.loglog(freqs, np.abs(tdi_resp_np['E']), color=tab20_colors[2], linestyle='dashed', label='resp E')\n", "line_resp_T, = ax.loglog(freqs, np.abs(tdi_resp_np['T']), color=tab20_colors[4], linestyle='dashed', label='resp T')\n", "\n", "ax.set_xlim(f_min, f_max)\n", "ax.set_ylim(1e-30, 1e-15)\n", "ax.set_xlabel('Frequency (Hz)')\n", "ax.set_ylabel('Amplitude')\n", "\n", "legend1 = ax.legend(\n", " handles=[line_data_A, line_data_E, line_data_T],\n", " loc='upper center',\n", " bbox_to_anchor=(0.15, 1.0),\n", ")\n", "\n", "legend2 = ax.legend(\n", " handles=[line_resp_A, line_resp_E, line_resp_T],\n", " loc='upper center',\n", " bbox_to_anchor=(0.35, 1.0),\n", ")\n", "\n", "ax.add_artist(legend1)" ] }, { "cell_type": "code", "execution_count": null, "id": "4e762cd5", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "pespace", "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": "3.10.19" } }, "nbformat": 4, "nbformat_minor": 5 }