{ "cells": [ { "cell_type": "markdown", "id": "9c2ed14f", "metadata": {}, "source": [ "## gwModelRemP : remnant properties of precessing quasi-circular BBH mergers\n", "\n", "`gwModelRemP` augments the aligned-spin baseline `gwModelRemS` with corrections\n", "built from the in-plane spin components, evaluated at the reference separation\n", "$r = 8M$. Inputs are $(q, a_1, a_2, \\theta_1, \\theta_2, \\phi_1, \\phi_2)$.\n", "\n", "| Quantity | Function |\n", "|---|---|\n", "| Final mass $M_f/M$ | `gwModelRemP_mf` |\n", "| Final spin magnitude $|\\chi_f|$ and tilt $\\theta_f$ | `gwModelRemP_chif` |\n", "| Peak luminosity $L_{\\rm peak}$ | `gwModelRemP_Lpeak` |\n", "\n", "The two in-plane spin combinations that drive the corrections are\n", "\n", "$$S_\\perp = \\frac{\\sqrt{q^4\\chi_{1\\perp}^2 + \\chi_{2\\perp}^2}}{q^2+1},\n", "\\qquad\n", "\\Delta_\\perp = \\frac{q\\chi_{1\\perp} - \\chi_{2\\perp}}{1+q}.$$\n", "\n", "The recoil of a precessing binary is **not** modeled deterministically; see\n", "notebook 6_5 for the probabilistic `gwModelRemP_flow`.\n", "\n", "---\n", "\n", "**Reference:** Islam, Wadekar & Khanna (2026), [arXiv:2608.00934](https://arxiv.org/abs/2608.00934)" ] }, { "cell_type": "code", "execution_count": 1, "id": "874eab11", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lal.MSUN_SI != Msun\n" ] } ], "source": [ "import sys\n", "!{sys.executable} -m pip install -e ../ --no-deps --quiet\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import time\n", "import warnings\n", "warnings.filterwarnings(\"ignore\", \"Wswiglal-redir-stdio\")\n", "\n", "import gwModels\n", "gwModels.utils.set_rcparams()" ] }, { "cell_type": "markdown", "id": "62e257c2", "metadata": {}, "source": [ "### 1. Basic evaluation" ] }, { "cell_type": "code", "execution_count": 2, "id": "b343b375", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q = 2.0, a1 = 0.7, a2 = 0.3\n", "theta1 = 60.0 deg, theta2 = 45.0 deg\n", "\n", " Mf/M = 0.950970\n", " |chi_f| = 0.767568\n", " theta_f = 16.596 deg\n", " L_peak [c^5/G] = 9.767346e-04\n" ] } ], "source": [ "q = 2.0\n", "a1, a2 = 0.7, 0.3\n", "theta1, theta2 = np.pi / 3, np.pi / 4\n", "phi1, phi2 = 0.0, 0.0\n", "\n", "Mf, af, theta_f, Lpeak = gwModels.remnants.gwModelRemP(\n", " q, a1, a2, theta1, theta2, phi1, phi2)\n", "\n", "print(f'q = {q}, a1 = {a1}, a2 = {a2}')\n", "print(f'theta1 = {np.degrees(theta1):.1f} deg, theta2 = {np.degrees(theta2):.1f} deg')\n", "print()\n", "print(f' Mf/M = {Mf:.6f}')\n", "print(f' |chi_f| = {af:.6f}')\n", "print(f' theta_f = {np.degrees(theta_f):.3f} deg')\n", "print(f' L_peak [c^5/G] = {Lpeak:.6e}')" ] }, { "cell_type": "code", "execution_count": 3, "id": "aaa62cdd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " chi1z = +0.350000\n", " chi2z = +0.212132\n", " S_perp = 0.486826\n", " Delta_perp = +0.333435\n" ] } ], "source": [ "# The derived in-plane spin variables are exposed directly\n", "chi1z, chi2z, S_perp, Delta_perp = gwModels.remnants.spin_projections(\n", " np.array(q), np.array(a1), np.array(a2), np.array(theta1), np.array(theta2))\n", "\n", "print(f' chi1z = {float(chi1z):+.6f}')\n", "print(f' chi2z = {float(chi2z):+.6f}')\n", "print(f' S_perp = {float(S_perp):.6f}')\n", "print(f' Delta_perp = {float(Delta_perp):+.6f}')" ] }, { "cell_type": "markdown", "id": "0b8a76d1", "metadata": {}, "source": [ "### 2. Dependence on the spin tilt\n", "\n", "All corrections scale as $S_\\perp^2$, so they vanish for aligned ($\\theta = 0$) and anti-aligned ($\\theta = \\pi$) spins and peak when the spins lie in the orbital plane." ] }, { "cell_type": "code", "execution_count": 4, "id": "7fce5559", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "theta_arr = np.linspace(0, np.pi, 400)\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(16, 4.5))\n", "for q_fix, ls in [(1.0, '-'), (2.0, '--'), (6.0, ':')]:\n", " Mf, af, thf, Lp = gwModels.remnants.gwModelRemP(\n", " q_fix, 0.8, 0.8, theta_arr, theta_arr, 0.0, 0.0)\n", " axes[0].plot(np.degrees(theta_arr), Mf, ls, lw=2, label=rf'$q={q_fix:.0f}$')\n", " axes[1].plot(np.degrees(theta_arr), af, ls, lw=2, label=rf'$q={q_fix:.0f}$')\n", " axes[2].plot(np.degrees(theta_arr), np.degrees(thf), ls, lw=2, label=rf'$q={q_fix:.0f}$')\n", "\n", "for ax, lab in zip(axes, ['$M_f/M$', r'$|\\chi_f|$', r'$\\theta_f$ [deg]']):\n", " ax.set_xlabel(r'$\\theta_1 = \\theta_2$ [deg]')\n", " ax.set_ylabel(lab)\n", " ax.legend(frameon=False)\n", " ax.grid(alpha=0.3)\n", "\n", "plt.suptitle(r'$a_1 = a_2 = 0.8$')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "id": "624e0887", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Two-dimensional view: remnant spin magnitude over (theta1, theta2)\n", "th1 = np.linspace(0, np.pi, 160)\n", "th2 = np.linspace(0, np.pi, 160)\n", "T1, T2 = np.meshgrid(th1, th2)\n", "\n", "_, AF, THF, _ = gwModels.remnants.gwModelRemP(3.0, 0.8, 0.8, T1, T2, 0.0, 0.0)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(13, 4.8))\n", "im0 = axes[0].pcolormesh(np.degrees(T1), np.degrees(T2), AF, shading='auto', cmap='viridis')\n", "cb0 = fig.colorbar(im0, ax=axes[0])\n", "cb0.set_label(r'$|\\chi_f|$')\n", "\n", "im1 = axes[1].pcolormesh(np.degrees(T1), np.degrees(T2), np.degrees(THF),\n", " shading='auto', cmap='magma')\n", "cb1 = fig.colorbar(im1, ax=axes[1])\n", "cb1.set_label(r'$\\theta_f$ [deg]')\n", "\n", "for ax in axes:\n", " ax.set_xlabel(r'$\\theta_1$ [deg]')\n", " ax.set_ylabel(r'$\\theta_2$ [deg]')\n", "\n", "plt.suptitle(r'$q=3$, $a_1=a_2=0.8$')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a58d4409", "metadata": {}, "source": [ "### 3. The non-precessing limit is exact\n", "\n", "Every augmentation term carries a factor of $S_\\perp^2$ or $\\Delta_\\perp^2$, so at zero in-plane spin `gwModelRemP` reduces to `gwModelRemS` bit-for-bit, not merely to within round-off." ] }, { "cell_type": "code", "execution_count": 6, "id": "d01fb699", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " gwModelRemS : Mf = 0.961686984172706 |chi_f| = 0.746635394858050\n", " gwModelRemP : Mf = 0.961686984172706 |chi_f| = 0.746635394858050\n", "\n", " exact match : Mf True, spin True, Lpeak True\n", " theta_f = 0.000e+00 deg\n" ] } ], "source": [ "q_t, chi1z_t, chi2z_t = 3.0, 0.5, -0.3\n", "\n", "# Aligned primary (theta1=0) and anti-aligned secondary (theta2=pi)\n", "Mf_p, af_p, thf_p, Lp_p = gwModels.remnants.gwModelRemP(\n", " q_t, 0.5, 0.3, 0.0, np.pi, 0.0, 0.0)\n", "Mf_s, chif_s, Lp_s, _, _ = gwModels.remnants.gwModelRemS(q_t, chi1z_t, chi2z_t)\n", "\n", "print(f' gwModelRemS : Mf = {Mf_s:.15f} |chi_f| = {abs(chif_s):.15f}')\n", "print(f' gwModelRemP : Mf = {Mf_p:.15f} |chi_f| = {af_p:.15f}')\n", "print()\n", "print(f' exact match : Mf {Mf_p == Mf_s}, spin {af_p == abs(chif_s)}, Lpeak {Lp_p == Lp_s}')\n", "print(f' theta_f = {np.degrees(thf_p):.3e} deg')" ] }, { "cell_type": "code", "execution_count": 7, "id": "35a02b67", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Continuity: sweep a small tilt through zero\n", "eps = np.linspace(-0.3, 0.3, 400)\n", "Mf_c = np.array([gwModels.remnants.gwModelRemP(3.0, 0.6, 0.4, abs(t), 0.0, 0.0, 0.0)[0]\n", " for t in eps])\n", "Mf_ref = gwModels.remnants.gwModelRemS_mf(3.0, 0.6, 0.4)\n", "\n", "plt.figure(figsize=(8, 5))\n", "plt.plot(eps, (Mf_c - Mf_ref) * 1e5, lw=2)\n", "plt.axhline(0, color='grey', ls=':', lw=1.5)\n", "plt.xlabel(r'$\\theta_1$ [rad]')\n", "plt.ylabel(r'$(M_f - M_f^{\\rm aligned}) \\times 10^{5}$')\n", "plt.title(r'Quadratic approach to the aligned-spin limit, $q=3$')\n", "plt.grid(alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "66ad6247", "metadata": {}, "source": [ "### 4. Comparison with other precessing remnant models" ] }, { "cell_type": "code", "execution_count": 8, "id": "367be871", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# HBR/BMR give the precessing final mass and spin magnitude\n", "theta_c = np.linspace(0, np.pi, 300)\n", "q_c, a1_c, a2_c = 2.0, 0.8, 0.8\n", "\n", "Mf_P, af_P, _, _ = gwModels.remnants.gwModelRemP(\n", " q_c, a1_c, a2_c, theta_c, theta_c, 0.0, 0.0)\n", "\n", "Mf_B = np.array([gwModels.remnants.bbh_final_mass_precessing_BMR2012(\n", " q_c, a1_c, a2_c, t, t, 0.0) for t in theta_c])\n", "af_H = np.array([gwModels.remnants.bbh_final_spin_precessing_HBR2016(\n", " q_c, a1_c, a2_c, t, t, 0.0) for t in theta_c])\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(13, 4.5))\n", "axes[0].plot(np.degrees(theta_c), Mf_P, lw=2, label=r'\\texttt{gwModelRemP}')\n", "axes[0].plot(np.degrees(theta_c), Mf_B, '--', lw=2, label='BMR2012')\n", "axes[0].set_ylabel('$M_f/M$')\n", "\n", "axes[1].plot(np.degrees(theta_c), af_P, lw=2, label=r'\\texttt{gwModelRemP}')\n", "axes[1].plot(np.degrees(theta_c), af_H, '--', lw=2, label='HBR2016')\n", "axes[1].set_ylabel(r'$|\\chi_f|$')\n", "\n", "for ax in axes:\n", " ax.set_xlabel(r'$\\theta_1 = \\theta_2$ [deg]')\n", " ax.legend(frameon=False)\n", " ax.grid(alpha=0.3)\n", "\n", "plt.suptitle(rf'$q={q_c:.0f}$, $a_1=a_2={a1_c}$')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ea00475f", "metadata": {}, "source": [ "### 5. Timing" ] }, { "cell_type": "code", "execution_count": 9, "id": "03ebb97e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " N time per binary\n", " 1 0.664 ms 664.0688 us\n", " 10 0.471 ms 47.1194 us\n", " 100 1.058 ms 10.5817 us\n", " 1000 0.972 ms 0.9719 us\n", " 10000 3.180 ms 0.3180 us\n", " 100000 27.644 ms 0.2764 us\n" ] } ], "source": [ "sizes = [1, 10, 100, 1000, 10000, 100000]\n", "means = []\n", "\n", "for n in sizes:\n", " q_t = np.random.uniform(1, 10, n)\n", " a1_t = np.random.uniform(0, 1, n)\n", " a2_t = np.random.uniform(0, 1, n)\n", " t1_t = np.random.uniform(0, np.pi, n)\n", " t2_t = np.random.uniform(0, np.pi, n)\n", " reps = 20 if n <= 10000 else 5\n", " t = []\n", " for _ in range(reps):\n", " t0 = time.perf_counter()\n", " gwModels.remnants.gwModelRemP(q_t, a1_t, a2_t, t1_t, t2_t, 0.0, 0.0)\n", " t.append(time.perf_counter() - t0)\n", " means.append(np.mean(t))\n", "\n", "means = np.array(means)\n", "print(f'{'N':>8s} {'time':>10s} {'per binary':>13s}')\n", "for n, m in zip(sizes, means):\n", " print(f'{n:>8d} {m*1e3:8.3f} ms {m/n*1e6:10.4f} us')" ] }, { "cell_type": "code", "execution_count": 10, "id": "58c9342f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " gwModelRemS (3 quantities) : 5.729 ms for 20000 binaries\n", " gwModelRemP (4 quantities) : 4.971 ms for 20000 binaries\n", "\n", " precessing overhead : 0.87x\n" ] } ], "source": [ "# gwModelRemP against its own aligned-spin baseline: the precessing\n", "# augmentation costs little beyond the gwModelRemS evaluation it wraps\n", "n = 20000\n", "q_t = np.random.uniform(1, 10, n)\n", "a1_t = np.random.uniform(0, 1, n)\n", "a2_t = np.random.uniform(0, 1, n)\n", "t1_t = np.random.uniform(0, np.pi, n)\n", "t2_t = np.random.uniform(0, np.pi, n)\n", "c1_t = a1_t * np.cos(t1_t)\n", "c2_t = a2_t * np.cos(t2_t)\n", "\n", "timings = {}\n", "for name, fn in [\n", " ('gwModelRemS (3 quantities)',\n", " lambda: [gwModels.remnants.gwModelRemS_mf(q_t, c1_t, c2_t),\n", " gwModels.remnants.gwModelRemS_chif(q_t, c1_t, c2_t),\n", " gwModels.remnants.gwModelRemS_Lpeak(q_t, c1_t, c2_t)]),\n", " ('gwModelRemP (4 quantities)',\n", " lambda: gwModels.remnants.gwModelRemP(q_t, a1_t, a2_t, t1_t, t2_t, 0.0, 0.0)),\n", "]:\n", " t = []\n", " for _ in range(20):\n", " t0 = time.perf_counter()\n", " fn()\n", " t.append(time.perf_counter() - t0)\n", " timings[name] = np.mean(t)\n", " print(f' {name:>28s} : {np.mean(t)*1e3:7.3f} ms for {n} binaries')\n", "\n", "print()\n", "print(f' precessing overhead : {timings[\"gwModelRemP (4 quantities)\"]/timings[\"gwModelRemS (3 quantities)\"]:.2f}x')" ] }, { "cell_type": "code", "execution_count": 11, "id": "1bf6170e", "metadata": {}, "outputs": [ { "data": { "image/png": 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hliuvYr9jq3TXxTb4v7e58ciLVTFi/7yPfbJr5tZvIQAAANDfHv2xtPZlb9Xdc6I2ffSfVMh4AgAAAIDi9cEL0qM/8ddLyuSe/nPJKVUh4wkAAAAAilOsXbrjq1Jsu7993Dek3T6qQkcDAAAAAMXp6Zukd1b46zXjpeMvUTGgAQAAAIDi0/KmtOwHie0zfiENKFcxoAEAAACA4uK60l3fkLZ/6G9P+qK038dVLGgAAAAAoLj8Y5H02lJ/fdie0rTvqpjQAAAAAEDRcDavl3Pf3MSOU38slVeqmNAAAAAAQNEY/sQVXiPA85GzpINPUbGhAQAAAIDi8OoSDX71Tn+9vEo6+WoVIxoAAAAAKHxbN8q555uJ7ZN+JFWMVjGiAQAAAIDC9+AP5bS+7a26Yz4hHfF5FSsaAAAAAChsby2XnrrBW3XLyuWe+lPJcVSsaAAAAACgcO3YJt3xVav6e5sbJn1NGjFGxYwGAAAAAArX4z+Tml70Vt09jtCmj31BxY4GAAAAAApT08vSI9f4606p3NN/IZWUqdjRAAAAAEDhicX8rj/t2/ztY78m7X5Y1KXKCTQAAAAAUHhW3CK99ZS/PmKc9In6qEuUM2gAAAAAoLDYcJ9Lv5fYPuMX0oDBUZYop9AAAAAAQOFwXenub0nbNvrbE78g7X9c1KXKKTQAAAAAUDiev0165T5/vWJ3afoPoi5RzqEBAAAAgMKwab10z5zE9qnXSoOroixRTqIBAAAAgILgLPmOtGmtv3HI6f6CndAAAAAAQN4b+Nbjcv7+B39jUKV0yrVRFyln0QAAAABAftv2oYY/cnli+8T/lIbtHmWJchoNAAAAAOQ15+ErVbbhHX9j/+Olif8cdZFyGg0AAAAA5K93GqSnrvdW3bJy6fSfS44TdalyGg0AAAAA5Kf27dIdX5PjxrxN12b7rRkXdalyHg0AAAAA5KfHfy598A9vdXvNIdLR/xZ1ifICDQAAAADkn7WvSn+92lt1nVK1fvJHUumAqEuVF2gAAAAAIL/EYl7XH7Vv9beP/rJ2jPpI1KXKGzQAAAAAkF+e+R/pzSf89eoxcj95WdQlyis0AAAAAJA/2t6Vlnw3sW2j/gwYEmWJ8g4NAAAAAOQH15XuvkTa2uZvT7hAGvuJqEuVd2gAAAAAID+88Bfp5bv99aGjpRN/GHWJ8hINAAAAAOS+zc3SPZcmtk+5RhpcHWWJ8hYNAAAAAOS+B74jfdjorx90qnToZ6IuUd6iAQAAAIDctvphaeVv/fVBw6VTr5UcJ+pS5S0aAAAAAMhd2zZJd16c2J7+fWn4nlGWKO/RAAAAAEDuevhKqXmNv77vx6WJ/xJ1ifIeDQAAAADkpvf+Lv3tl/566SDpjF9IJVRfM8U3CAAAgNzTvl3OnV+V3Ji//Yk50sjxUZeqINAAAAAAQM4Z+twCOe//n78x+iPSsV+PukgFgwYAAAAAcsu6VapY0dH1xymRzrhOKh0QdakKBg0AAAAA5A7XlXPXxXLat/rbR82W9q6NulQFhQYAAAAAcscz/yvnjce8VbdqX2nKv0ddooJDAwAAAAC5YcP70gOXd266p/5UGjg00iIVIhoAAAAAyA33XCptbfVWNx94pjRuStQlKkg0AAAAABC9F++UXrzDW3WHjFTbxy+LukQFiwYAAAAAorW5Rbr7ks5N99NXyS2vjrRIhYwGAAAAAKK19LvSxvf99fEnSR/5bNQlKmgF2QBYvXq1ZsyYoZaWlqiLAgAAgFRef0xq+B9/fWCFdNpPJMeJulQFreAaAEuXLvUq/osXL466KAAAAEhl+2bpjq8ltqd9T6rcO8oSFYUyFZhp06Z5n1VVVVEXBQAAAKn89Wpp/Sp/fZ+jpElfjLpERSEnGwA33nijVq1apXnz5vXavcf2jxs3rrOif9FFF0VQSgAAAPTZe89Jj//cXy8dKJ3+C6mk4Dqn5KScaQDEK/Zm4cKFvVbqLU1tba3WrFnTeYe/vr5eV199tebMmdPvZQYAAEAftO+Q7viq5Lb728dfIo0+OOpSFW8DYO7cuaG9PGuV9iuvvLLXY2PHjtX8+fO99RUrVvSaxhoI1jDo2r3HyltdXU0DAAAAIF88db303rP++qhDpOO+EXWJirsBYC/P3nDDDVm/kOu6mj17dtIGQDrsyUDPbkHxxoC9/Bvv/w8AAIActX619OCPOjYc6YzrpLKBEReqyBsAVlGfOnVqKBezvPvKnkrYYk8KerJGwDPPPNOtAcAQoAAAADnG6oJ3Xizt2OxvHzVL2mdy1KUqOjs1AGbNmhXaxTLJ2/r/JzNixAitW7eu80mANQaMPW2YPHmyzjnnnD5fFwAAAFny7O+lNX/11yv3kaZcHnWJitJODYBLL720z5m1tbVp+PDhSY9nkveuxO/421MAW4K+EzBy5Eg5PSad2Ly5o3XaRSwW855k2Gemx1Klj1pYZcs036Dnp5s+nXTEPtp88y32QffnAmIfLA2xDz9fYh+uMMvVa94bG+Xc/23r9OOnOeXH0oAhljjjshF7afDgwWn3vgk8CtBll12m1tZWb93641uFv66uznt3wLriTJo0SYsWLUrZEOiLVOP6r1+/PmvXsS8q3hBobGzc6bgF0H5+S1fSY6iqoMdSpY9aWGXLNN+g56ebPp10xD7afPMt9kH35wJiHywNsQ8/X2IfrjDL1VvelUsu1uAt/g3bzeNPV2vl4VbZykrZiH0wgRsANTU13hj8M2fO9LavueYar/JvL+ieffbZXlcd63qTycu+ybr5JOvbb/synfjLKvsVFRVqamrSqFGjUv5SWAOhtzRBj6VKH7WwypZpvkHPTzd9OumIfbT55lvsg+7PBcQ+WBpiH36+xD5cYZZrp7xfvkclq+71jrmDR2jQGT/R6KEjs1Y2Yq9ee65Y7xwbLTPjBoD9EPHKv7GKvnW5scq/sZd045X1bLIKvi3J7vZPnz49o/wtKLbYzxdfTyZVmqDH0rleVMIqW6b5Bj0/3fTEPoHYB0uT7FjQ/bmA2AdLQ+zDz5fYhyvMcnXmvW2DdE+iG7hz8jw5w0ZnvWzEfmfJrhm4JF37EtkjDbv73rPy3bMvfbace+653gzBvb0czBCgAAAAOWjp96UN7/rrB0yTDpsRdYmKXuAGQNfHCDbijlX2e1a+Mxnus+uQnz3ZrL/W3agrmzwsPoEYAAAAcsibf5NW3OKvDxgqnfZTu1McdamKXuAuQK+99po2bNigYcOGed1/rFvOEUcc0Xn8wQcf9N4RCMoq/JaffdpdfXunwFhe8RF9rHuRvWBsDQEb3tPS2TsJNjswAAAAcsiOrXLu/Hpie+p/SFX7Rlki9LUBMHfuXH3qU5/yKt9WWbenAOZPf/qTbr31Vu/TKuyf/exnA+VrDYn4LL+p7uhPnDjRWwAAAJC7Kp65Xs66V/2NvSZJRybeIUWeNQAqKyu1YsUKrVmzxnvZ17bjd+etcWALAAAAitgHz2voszf56yUDpDOuk0pKoy4V+toAiBszZky37QkTJnTrBpRvbJimsCaHSHYsVycGCbNsmeabbxODJDtG7As/9kH35wJiHywNsQ8/X2IfrtDKFWuXc+fX5MR2eJvucd+QO+pgu2BoZSP2vUt23T43AFKxrjxTpkxRPqmtrVVpaak3qdns2bNTjg3LZFDR5Rv0/HTTp5OO2Eebb77FPuj+XEDsg6Uh9uHnS+zDFVa5hjz3Pxr+7jPe+vaqsVp30D8lnfArW2Uj9t0tWLDAW9rb25W1BoDd4beXcXsbk7/rewH5pKGhgYnAugirbJnmG/T8dNOnk47YR5tvvsU+6P5cQOyDpSH24edL7MMVSrla3pSz/OfeqitHzmd+qdF77B162Yh9dzZgji1Zmwjspptu0qxZs7yXdsOY8Csq8QkamAwqgUlhgqUh9uHnm2+xz8VJYXaF2AdLQ+zDz5fYhyur5bJh4O/+hrR9k7e56SPna/B+xxB7J/cmAgvcALA7/zYZV893ALo68cQTg2YLAACAfPbcrdIq/z1Qd/ie2njUNzU46jKhV4GbIjbrb6rKv5kxgxneAAAAisbGJum+yzo33VN+LHdgRaRFQnKhPIuwF2kBAABQJKzyv7nZX//o2dKBn466RMhmA8Am4drVMJ8zZzLRAwAAQFF45X7pH4v99cHV0qf9iV2RuwK/AzB16lSvAWB3+SdPnuxNANZTPo4CBAAAgIC2bpDu+mZi+6QrpIpRgcb8Rx40AFauXKlp06Z1vhDcG3vbGQAAAAVu2Q+ktrf99bGfkg4/L+oSIYwGgHXvsYm+rCtQb3f/m5ubeQcAAACg0L35lPT0Tf76gCHS6T+zu8BRlwphNADs7v+ll16a9LiNEDRhwgTlG5uoIazpoZMdi3p66FTCKlum+ebb1ODJjhH7wo990P25gNgHS0Psw8+X2Icro3Lt2Crnjq/Kkevn9clvS5X7dnb9Ifa5Eftk1w3cADjggAN2mWbhwoXKN7W1tSotLfWeXsyePTur00MnO5YqfdTCKlum+QY9P9306aQj9tHmm2+xD7o/FxD7YGmIffj5EvtwZVKuiuXXqWLty976tlGHaf2Yz0qNjVnJuy/nE/vuFixY4C3t7e3KSgPAfgCbVnj48OFJ08ydO1dXXnml8klDQ4MqKirU1NSU9emhkx1LlT5qYZUt03yDnp9u+nTSEfto88232AfdnwuIfbA0xD78fIl9uPpcrsYX5ayc7626JWUqO+u/NHr3PbKTdx/PJ/bd1dfXe4vV2aurq7PzDsC1117r9f+37kC9NQRsFKB8awDEp2gOa3roZMdydWpww7TwwdIQ+/DzzbfY5+K08LtC7IOlIfbh50vswxW4XLF26a6vS7Ht/vnHfl3OnodnJ+8Mzyf2O0t2zcANgPHjx2v9+vVqaWkJeioAAADy2fKbpbeX++s1B0gnzIm6ROiDwA2AdevWeXf+7QlATU3NTsfXrl2rm2++uS9lAQAAQK5qeUta+v3E9um/kAaUR1ki9FcDwCr+u3rJd82aNX0tDwAAAHKN60p3f1Pa/qG/Xfv/pP2PjbpU6KPAnZGSTf7Vlc0TAAAAgALxf4ulVx/w14ftIU3v8iQA+d8AOOmkk1KeYOP870qyNLvKGwAAADnmw3XSffWJ7VN/LJVXRlkiZLsBsHr1aoUlzLwBAAAQgvu/LW1a568f+hnp4FOjLhGy/Q6AjfNv4/hnm+ULAACAPPLqUum5P/rrdtf/5GuiLhHCaADMn+9P7BCG6dOnh5Y3AAAAsmjrRumubyS2T/yRNGy3KEuEsBoAU6dOVTGymdpssScV9pkqXbI0QY+lc72ohFW2TPMNen666Yl9ArEPlibZsaD7cwGxD5aG2IefL7EP167K5Tz4Qzmtb3rr7v4nyD38fDspK3ln+3xi37tk1w08DGihqq2tVWlpqerq6jR79uyU00O3trZ6wexteuggx1Klj1pYZcs036Dnp5s+nXTEPtp88y32QffnAmIfLA2xDz9fYh+uVOUa8MHfNeKpG7x1t3SQ1h5zudqbmrKSdxjnE/vuFixY4C3t7e3qDQ2ADg0NDaqoqFBTU5NGjRqV8pfCpnTuLU3QY6nSRy2ssmWab9Dz002fTjpiH22++Rb7oPtzAbEPlobYh58vsQ9X0nK1b5Nz23flyH9/0/3Ut1UzflJ28g7pfGLfXX19vbe0tbWpurq6x1EaAJ0sKLZYkOLryaRKE/RYOteLSlhlyzTfoOenm57YJxD7YGmSHQu6PxcQ+2BpiH34+RL7cPVarkevkxpf9Nf3OFwlx3zFKkrZyTvE84n9zpJdM7d+CwEAABCdppelR672151S6YzrpFLuFxcaGgAAAADwX/C942teFyDPx7/qPQFA4aEBAAAAAKnhv6W3nvTXR4yVPnlZ1CVCSGgAAAAAFLvWd6Ql30tsn/5zacDgKEuEENEAAAAAKGauK939TWnbBn974j9LY06IulQIEQ0AAACAYvbC7dIr9/nrFbtJ038QdYmQqw2A119/Xbfddpv3Gffggw9mq1wAAAAImbOlWc599Ykdp1wrDd553HgUlj41AL70pS9p7NixmjFjhhYvXty532Y5mzt3bjbLBwAAgJAM+9vVcj7smOH34NOkQ8+IukjIxQbANddco9WrV3sz59r0wlbpj5s6daouu+wyXXvttdkuJwAAALJp9cMa8vJt/vqgSv/uP4pC4Jkdli9frgceeKDb7GZdVVZWegsAAABy1LYP5dx1cWL7xB9Iw/eIskTI5QbA5MmTd5mmtbVV+SYWi3mLPdGwz1TpkqUJeiyd60UlrLJlmm/Q89NNT+wTiH2wNMmOBd2fC4h9sDTEPvx8iX14nAevkNPyhrfu7nus3CMu8CcCyxJinxuxT3bdwA2A9evXd9vu2gUobtWqVco3tbW1Ki0tVV1dnWbPnq2SkpKkX6Q1cOzn7pkm6LFU6aMWVtkyzTfo+emmTycdsY8233yLfdD9uYDYB0tD7MPPl9iHo6zx/1Tz1K/8spUMVNPR/y63aW1Wr0Hso439ggULvMW662elAWA/wC233KIvfvGLO3UBamtr08yZMzV9+nTlG3unoaKiQk1NTRo1alTKXwr7mXtLE/RYqvRRC6tsmeYb9Px006eTjthHm2++xT7o/lxA7IOlIfbh50vsQ9C+Xc6fvyvH9e8Mb5z0FdUceFTWy0Xso419fX29t1jdvLq6OvMGwFVXXaUDDjjA+5w2bZr3QnD83YClS5dq0qRJuvDCC5VvLCi2WJDi68mkShP0WDrXi0pYZcs036Dnp5ue2CcQ+2Bpkh0Luj8XEPtgaYh9+PkS+yx7/JfSB897q+5uH9Wmw/9VFSGVi9hHH/tk1wzcAIjfLbdK/vz5873tJUuWeJ/z5s3TpZdemkk5AQAAEIa1r0kPz/PXnRK5p/9CKh0QdakQgT41AGyUn0WLFnl9mlasWOHNCTBmzJjslw4AAACZs5dB7/ya1L7V3z7m36Q9J0iNjVGXDBHI6FmENQRs7P+elX9mBAYAAMghz/xaeuNxf716f+mT3466RIhQKJ2RrCsQAAAAckDbe9KS/0hsn/YzaeCQKEuEfOwCZHf4rQtQzyFBTUtLi/cyMAAAACJmw7Xfc4m0tc3ftvH+x30q6lIh3xoAN910k2bNmqWqqiqNGDEinFIBAAAgcy/eIb10l78+dJR04n9GXSLkYwPA7vzbRF+pXvo98cQTMy0XAAAAMrG5Wbqny+iMJ18tDeHmLfrwDoBN8rWrEX9mzJiRSZkAAACQqQculzZ+4K8fdIr0kbOiLhEK+SXgurq6MLIFAABAOlb/VVr5G3994DDplGttRqqoS4V8bQBMnDhxl8N8zpw5M5MyAQAAoK+2b5bu/Hpie/r3pMq9oiwR8v0dABv33xoAdpd/8uTJ3iRgPTEKEAAAQEQevlJqXuOv73uMVPuvUZcI+d4AWLlypaZNm9b5QnBvHB4xAQAA9L93n5We+KW/XjpQOv0XUkkoPb5RTA0A695jE31ZV6De7v43NzfzDgAAAEB/a98h3fFVyW33t0+YI406MOpSoRAaAHb3/9JLuwwp1YONEDRhwgTlm1gs5i2u63qfqdIlSxP0WDrXi0pYZcs036Dnp5ue2CcQ+2Bpkh0Luj8XEPtgaYh9+PkS+4CeuE4l7z/nrbqjD5X78a/axZMmD7NcxD43/u6TXTdwA+CAAw7YZZqFCxcq39TW1qq0tNR7ejF79myVJHlcZl9ka2urF8yeaYIeS5U+amGVLdN8g56fbvp00hH7aPPNt9gH3Z8LiH2wNMQ+/HyJffpKW9/QSOv7b5V/OVp/7Pe1fV1LynPCLBexj/bvfsGCBd7S3t7xNCjTBoD9AG1tbRo+fHjSNHPnztWVV/q/hPmioaFBFRUVampq0qhRo1L+Utg7Dr2lCXosVfqohVW2TPMNen666dNJR+yjzTffYh90fy4g9sHSEPvw8yX2aXJdOfddKKd9q7991JdUfZj/vmYqYZaL2Ef7d19fX+8tVmevrq7OzjsA1157rdf/37oD9dYQsFGA8q0BYEGxxYIUX08mVZqgx9K5XlTCKlum+QY9P930xD6B2AdLk+xY0P25gNgHS0Psw8+X2Kfhmf+VXn/UX6/aV87Uy+Vk+fvqC2If/d99smsGbgCMHz9e69evV0tL6sdKAAAACNmG96UHvpPYPu2n0sChUZYIeSBwA2DdunXenX97AlBTU7PT8bVr1+rmm2/OVvkAAACQzL1zpC2t/vrHPicdsOuuP0DgBoBV/Hf1ku+aNR2TTwAAACAcL94lvfAXf31IjXTSFVGXCHkicGekZJN/dWXzBAAAACAkm1uku7+V2D75amnozj0zgKw0AGyc/11ZtmxZ0GwBAACQrqXfkza+76+PP1H66NlRlwh5JJTXkefPnx9GtgAAAHj9Malhgb8+sEI69Sc21EzUpUIhvANw7rnn6tlnn9Urr7zSbX98qEwAAAD0s+1bpDu+ltie+l2pap8oS4RCagDYxFj2Mm/PSb/i4/+PGzcu6URhvAMAAAAQgkeultav8tf3PlKa/MWoS4RCagCsWrXKm7q450RfVVVVuuGGG1JmumLFiuyVEAAAANL7/yc9/nN/vWSAdMYvpJLSqEuFQnsHoLKysk8v+PIEAAAAIIvad0h3fFWK7fC3T7hEGn1I1KVCsbwE3FujoC8jBQEAACBNT90gvbvSXx91sHTcN6IuEYppIrCe7wQYe1fARv4ZOXKkJk6cqClTpmSzjAAAAMVr/RrpwR92bDjSGddJZYMiLhSK6gnAzJkze73jf9VVV+mSSy7xXgK+9tprs1U+AACA4uW60l0XSzs2+9tHXiTtc2TUpUKxNQCsgp/K1KlTtW7dukzKBAAAAPP3P0irH/bXh+8tTb086hKhGBsAu5oDwOYOWLp0aSZlAgAAwMZG6b65ie3TfioNGhZliVAM7wCsXLnS69tvw3paP3/T0tKimpqaXtPbMcNMwAAAABm6t17a4tetdNgM6cAToy4RiqEBMGHChM4x/+2u/owZM7x5AOyzN3Zs+vTpXjegfBOLxbzFujjZZ6p0ydIEPZbO9aISVtkyzTfo+emmJ/YJxD5YmmTHgu7PBcQ+WBpiH36+RR37l+9VyfO3eavu4BFyT7zCMlI2hfk7Sexz4+8+2XXTHgXIZv+12YEvu+yyXU4Elo9qa2tVWlqquro6zZ49WyUlJUm/SJsgzYLZM03QY6nSRy2ssmWab9Dz002fTjpiH22++Rb7oPtzAbEPlobYh59vscbe2bZRI+/6Zud26zH12vJhTPqwUdkU5u8ksY/2737BggXe0t7envkwoGPHjvUqyIXIGjcVFRVqamrSqFGjUv5S2HsQvaUJeixV+qiFVbZM8w16frrp00lH7KPNN99iH3R/LiD2wdIQ+/DzLdbYO/dcLefD9711d9xUDT92pobv4h3Mvgjzd5LYR/t3X19f7y02fH91dXXm8wCcffbZKkQWFFssSPH1ZFKlCXosnetFJayyZZpv0PPTTU/sE4h9sDTJjgXdnwuIfbA0xD78fIsu9m8+Ka24xV8fMETOaT+VU1qqsIT5O0nso/+7T3bN3PsXCAAAoBjt2Crd8dXE9pTLper9oiwRChQNAAAAgFzwyLXS2lf89b1qpaNmRV0iFCgaAAAAAFH74HnpsZ/46yVl0hnXSSXhdf1BcaMBAAAAEKVYu3TH16TYDn/7uG9Iu30k6lKhgNEAAAAAiNLTN0rvrPDXRx4onXBp1CVCgaMBAAAAEJXmN6Rl/5nYPv0XUtmgKEuEIkADAAAAIAquK931DWn7h/72pC9K+x0TdalQBEJpANikAwAAAEjhuYXSqmX++rA9pWnfi7pEKBKhNABmzJgRRrYAAACF4cO10n2XJbZP/bFUPjzKEqGIBJ4JOO7BBx9US0vLTvvXr1+vFSs6XmQBAADAzu6bK21e769/5Czp4FOiLhGKSOAGwMqVK1VbW+tNa+xa37Ve2DEAAAD04tUl0v8t9NfLq6STr466RCgygRsA9fX1mjdvniZOnKixY8fudLy5uVl1dXXZKh8AAEDh2LpBuvPixPZJV0gVo6MsEYpQ4AaAVfwvvTT5+LRjxozRhAkTMi0XAABAftu+RXrhdjkv3qXq1g/kVO4mbftQanvbPz72k9IR50ddShShwA2AAw44YJdpFi7seKwFAABQjF66R7p9trSlRXJKNMiNyX3Pukh3dJ8uGSid9jPrNx11SVGEAo8CZP3+dzXM59y5czMpEwAAQP56+R7pj+dLW1q9TceN+Z/xyr+JbZcaX4yqhChygRsAM2fO1I033qjbbrstaUNg6dKl2SgbAABAftmxVc5fvtyx0ftgKZ3sCYF1EwJyvQvQ+PHjvaE+exsCFAAAoJiVr75XTsed/9Rcv3vQC3+RDmfwFOR4A2DdunWaNm2aNwJQTU3NTsfXrl2rm2++OVvlAwAAyBvla5bJdUo6u/2k5JRIL91JAwC53wCwiv+uXvJds2ZNJmUCAADIS86WlvQq/8bSbW4Ou0hA5u8ALFq0aJdpbJ4AAACAYuOWV3lPANJi6QZXh10kIPMnADbOf5y9CLx8+XLvfYBJkybpi1/84k5pAAAAisWWMVNVvuaB9J8AHHx62EUCMm8AmGeffVbnnHOOVq9e3blv/vz5mjNnjh588EEdfvjhfckWAAAgf7muSje8l2ZiRyqvlA79TMiFArLQBai1tdWr/NvS0NCg5uZmrVq1ylu/8MILNWXKlF3OEwAAAFBQ2rfLuevrGrb8Z2kk7pj866wbpAHlYZcMyPwJwFVXXeW9BzBhwoTOfZWVld6n7Zs+fbrq6+t1/fXXK5/EYjFvsYnO7DNVumRpgh5L53pRCatsmeYb9Px00xP7BGIfLE2yY0H35wJiHywNsQ8/37yJ/eYWOYu+IOf1RxJpPjpDzmtLvJeC46MCdX6WV8r9zK+k8SdZZopKmL+TRRP7HP+7T3bdwA2AESNGdKv892RDhObjRGC1tbUqLS1VXV2dZs+erZKSkqRfpD0FsWD2TBP0WKr0UQurbJnmG/T8dNOnk47YR5tvvsU+6P5cQOyDpSH24eebD7EfsPEdVd9zkcpa/G7RsZKBav3kFdp64OnS0ZerfPV9GrR6iWIfrlPJ0BptHTtdW8Z+WiobJDU2Kkph/k4WQ+xLcvjvfsGCBd7S3t6enQaA4zhZSZNrrAtTRUWFmpqaNGrUqJS/FPbz9ZYm6LFU6aMWVtkyzTfo+emmTycdsY8233yLfdD9uYDYB0tD7MPPN+djv2WNSm+/QM6mdd5+d0iN1k+/TlWHnaTK+Dl7zlTs41/srF8MKinRcOWGMH8nCz72o3L7795649hi3fKrq6uzMxHYruTjLMEWFFssSPH1ZFKlCXosnetFJayyZZpv0PPTTU/sE4h9sDTJjgXdnwuIfbA0xL54Yz/4tbtV+vC35bRv9XeMPFDuebdqx/YheRX7MMtVqLF38ujvPtk1S/oyEdjcuXOTHrfuM+PGjQuaLQAAQO5zXemRa1W17FuJyv+YE6QvLpGq94+6dEBaAj8BmDlzpveib01NjWbNmuW9E2BsJCCbIdgaCPn2AjAAAMAu7dgq3fE1lTz3x8S+Cf8knfZTqXRApC/0AqHPA7BkyRKvX5GNCNTVRRddpBtuuKEvWQIAAOSuTeulWy+Q3ni8c1ds6vdUctzF1scj0qIB/dIAMPPmzfOWlStXetupRgYCAADIW2tfk34/Q1rvj/TjlpWrZcrVqjz6n6j8Iy9l/DaCVfx7Vv5vvvnmTLMFAACI3uuPS7dM66z8a+houV+4S1vHnhR1yYA+C+V15Pnz54eRLQAAQL8pf/l2Ob89S9rc7O8Yfag0c5m0V23URQPC6QJ07rnn6tlnn9Urr7zSbX98qEwAAICC5LpyHrpCVY9ek9h3wDTpnAVS+XBe9kXhNgBsYqw1a9Z4EwgMH56YssJG+bHZfpMN9Wkzndm7AQAAAHln+xbpL1+W848/JfZN+qJ08tVSaZ9fnQRyStLfZBvW06Yu7lr5N1VVVbsc6WfFihXZKyEAAEB/+HCt9IfzpLef9jZdOXJP/JFKjvkyL/uioKRsylZWVu60b9myZbvMlCcAAAAgrzS9LP1uhtTyhrfpDhiilqnXqvLI86j8o+AEfpbVW6OgpzFjxvS1PAAAAP1r9cPSrf8sbW31t4ftIfdzf9DW0j2iLhmQGw2Anu8EGHtXwEb+GTlypCZOnKgpU6Zks4wAAADhaPi1dPc3pdgOf3v3w6TzbvUaAWpsjLp0QG4MAzpz5sxe7/jbrMCXXHKJ9xLwtddem63yAQAAZJ8bk7P0u9KdX0tU/g88Wfp/90mVe0VdOiC3GgBWwU9l6tSpWrduXSZlAgAACM/2TapacrGcJ36R2Hf0l6XP/U4aVBFlyYDcbADsag4Amztg6dKlmZQJAAAgHBs+kPPr01W++n5/2ymRTrlW+vSVUklp1KUDon8HYOXKlV7ffhvW0/r5m5aWFtXU1PSa3o4ZZgIGAAA554Pnpd/XyWl9y9t0B1bImfE/0vjpUZcMyJ0GwIQJEzrH/Le7+jNmzPDmAbDP3tix6dOne92AAAAAcsarS6VF/yJt2+BttlfsIefzC+Xs8bGoSwbk7ihANvuvzQ582WWX7XIiMAAAgJzx9E3SvXO8F3+Nu+cErZv6C43c7aNRlwzI/XcAxo4dq7q6upT9/19//fVslAsAACAzsXbpvrnSPZd0Vv51yOlyv3CXYkNHR106IH9eAj777LOTHrPRf+wpwc0335xpuQAAAPpu60bpj5+XnvxVYt+xX5dm/K80YEiUJQPyrwGQivX9t65CS5YsyWa2AAAA6Wt7V1pwsvTKvf52SZl0+s+l6T+QSrJa9QHyUp/+Cqyrz+TJk73RgEpLS7stI0aM8LoKAQAA9LeytS/IuWWa9P5z/o5BldLnF0u1/xJ10YD8ewk4zoYDnThxonen30YDWr16tbdtbN0q/1deeWUYZQUAAEju5Xs14vYL5ezY5G9X7Sudv0gafXDUJQPyuwFgowBZP38bItT86U9/8ob+HD58eGcD4bbbbtNnP/vZ7JcWAACgJ9eVnrxezv3fliPX37f3ZOlzf5AqRkVdOiD/uwCNGTOms/Jv7I6/TRTW9bg9CQAAAAhd+w5/lJ/753ZW/t2PnCV94U4q/0C2GgCO43TbtgZAz5l/bTQgAACAUG1pk/5QJy1PjD64ceJsuZ+9WRowONKiAQXVAHBdV21tbd5Qn3/+859VWVmp5uZmPfTQQ51pnnnmmWyXEwAAIKHlLem/Py29ttTfLhmg2Gd+pY1HXiw5jPQDpBL4L2Tu3Lm68MILddFFF2nOnDnePvu0IUBPOukkjR8/nlGAAABAeN5pkG6aIjU+72+XV0n/fLt0+HlRlwwozAaA3fFfuHCh9yJwvO+/jQhk+1atWuUdnzdvXhhlBQAAxe6FO6QFp0ofNvrbI8ZKFy6T9j8u6pIBhTsKUFzXF4HNOeec4y0AAAChjPTz+M+lpd9N7Nv349LnficNGRFlyYDiaQCkYu8IxIcFBQAAyEj7duneS6Rn/jex72N10hnXSWWDoiwZkJdCeUvGJggDAADIlLO1Tc7vZ3Sv/H/q36Wz5lP5B/rrCYBN8pWKzQHQdV4AAACAPml+QzW3f05O8yp/u3SgdOb10mF0OQb6tQFgIwC1trZ6w4H2NkeA7e85V0A+iMVi3mLlt89U6ZKlCXosnetFJayyZZpv0PPTTU/sE4h9sDTJjgXdnwuIfbA0xD7kfN96Ws6tn1fZprXepjukRu65v5X2Pdoyzuh6xD78cvF3nxuxT3bdwA2AESNG6KabbtLEiRO77W9pafHu/NtIQLNmzVK+qa2tVWlpqerq6jR79myVlJQk/SLjDaCeaYIeS5U+amGVLdN8g56fbvp00hH7aPPNt9gH3Z8LiH2wNMQ+vHzLX7tHlQ/Vy2nf5m1vrxqrlpPnq718X6mxMePrEfvwy8XffbSxX7Bggbe0t7dnpwFgFf+zzz476chA9kMuWrTIe1KQT2xY04qKCjU1NWnUqFEpfynsCUdvaYIeS5U+amGVLdN8g56fbvp00hH7aPPNt9gH3Z8LiH2wNMQ+hHytd8GjP1bJwz/q3LV1z6NVet7vVDN01yP9EPtgwiwXf/fRxr6+vt5bbGCe6urqzBsANt5/KvGZgfONBcUWC1J8PZlUaYIeS+d6UQmrbJnmG/T8dNMT+wRiHyxNsmNB9+cCYh8sDbHPYr47tkp3fl36+x86d7lHXKDmyfUaPXQEsQ9JmOXi7z762Ce7ZijDgObjOwAAACAim9ZLt14gvfF4Yt+078k95mtSU1OUJQMKUtYbAK+//rqWL1+e7WwBAEAhWrdK+t0MaX3HSD9l5f4Qnx85M+nLvgD6uQEQ7yaTypIlSzIpEwAAKAavPy7d+nlpc0fX4aGjpfP+KO1dG3XJgIIWuAEwduxY70Vg+6ypqel2rKqqStOmTdOYMWOyWUYAAFBo/v5H6S9fkWLb/e1Rh0ifXyhV7Rt1yYCCF7gBYJX8Xb0IDAAAkHSkn4eukB65OrFv3FRpxgKpvDLKkgFFI3ADwIb4BAAACGz7Fukv/yb9Y3Fi36QvSidfLZWGMi4JgF4EHo8one49c+fODZotAAAoZB+ulf73jC6Vf0c66Urp1B9T+Qf6WSgDki5dujSMbAEAQD5qelm6aYr01lP+9oAh0ud+Lx3zZRs7POrSAUUnaZO7tLS0f0sCAAAKzsB3/ibnga9JW9v8HcP28Ef62fOIqIsGFK2yVDP62og+kydPDpTh2rVrdfPNN2ejbAAAIJ+t/K2q7/6GnNgOf3u3w6Tzb5Uq94q6ZEBRS9oAsGE++zraz5o1azIpEwAAyGc2gdey76vk8Z8l9h34aensW6RBFVGWDECqBkBfRvt59tlnvWFC582bl2m5AABAPtq2SfrzLOnFOzp3uUd9Sc5JV0gldC8Gcvol4L5M5rVu3To1NDRo2bJlmZYLAADkmw0fSL8+rbPy7zolajvuP+TaaD9U/oHCHAVo6tSp3nsDS5YsyWa2AAAg133wgnTzVOmdBn97YIXcz/1Rmz76+ahLBiAbDQDr6mMvB9fU1HijBXVdRowY4b0/AAAAisRrS6VbTpRa3/K3h+8t/ev90vjpUZcMQC/K+vKC78SJE707/TNmzNDq1au9bWPrVvm/8sorg2YLAADy0fKbpXvmSG67v73HEf5IP8N2918GBpD/DYDLLrvM6+c/YcIEb/tPf/qTpk+fruHDh3c2EG677TZ99rOfzX5pAQBAboi1Sw9cLj35X4l9B58mffZGaeDQKEsGINtdgOzl4Hjl39gd/xUrVnQ7bk8CAABAgdq6Ubr1gu6V/49/TTr3N1T+gUJsADg9puy2BsD8+fN3Gg0IAAAUoLZ3pQUnSy/f4287pdLpP5dO/E+pJKtjiwAISeC/VNd11dbW5s32++c//9mbMbi5uVkPPfRQZ5pnnnkm2+UEAABRe+856aap0vvP+duDKqUL/iTV/kvUJQMQ5jsAc+fO1YUXXqjFixdr3LhxOuusszRnzhxvCFB7F8C6/9gLwgAAoIC8fJ+0+F+l7R/621X7SucvkkYfHHXJAIT9BMDu+C9cuNB7ETje998q/LZv1apV3nFmAgYAoEC4rvTk9dIfz0tU/veeLF34IJV/oFgaANb1x9iLwFbZjzvnnHP02muveY2C+IhAAAAgj7XvkO65VLrvMsntGNLzI2dJX7hTqhgVdekA9FcDoL6+vq/XAgAA+WJLm/SHz0nLb0rsO/4S6ez/lgYMjrJkAPq7AWAv/I4fP94b6x8AABSglrek//609NoSf7tkgHTm9dLUyxnpByjGl4Bt2M9XX31VK1eu9CYFGzlypNf9Z//99w+nhAAAoP+884x/53/jB/52eZVU91tpzPFRlwxAVA0A6+cffwfAltbWVt14443e6D8zZszQlClTslU2AADQn166S7rtImnHZn97xFh/pJ+RB0RdMgBZlPFzPHsR+NJLL9X111+vBx54QDU1Nbr22muzUzoAABA+19WQZ2+Ws/CfE5X/fT8ufXEplX+gAAV+AtCTTQpmTwBsNmAbBrSqqio7JQMAAOFr3y7n7m9p+DO/Tuz7WJ10xnVS2aAoSwYgV54AnHTSSd7ns88+q7q6OlVXV3sTgY0ZM0ZLlizR+vXrdckll4RRVgAAkE2bW6TfnSOna+X/k9+WzppP5R8oYIGfAFgl37r5tLS0dHb/mTVrltcAAAAAeaL5den3dVLTS96mWzJA7mf+SyWH10VdMgC52AXIKvtz587V2Wefnf0SAQCAcL31tPSH86RNa71Nd0iN1k+/TtWHnRx1yQDkYgNg4sSJ3my/AAAgD/3jT9KfZ0vtW/3tmvFyz7tV23cMjbpkAHL1HQDr7gMAAPKM60qPXCMt/tdE5X//46ULl0gj6MYLFJPADYCZM2d6n6+//ro3G7B9xj344IPZLR0AAMjcjm3S7V+WHvxhYt+EC6QLbpMGV0dZMgD5Mg/Al770JW9GYJv4a/HixZ37Xdf13g0AAAA5YtN66TdnSX//fWLf1O9KZ/xSKhsYZckA5EsD4JprrvFm/W1oaFB7e7tX6Y+bOnWqLrvsMiYCAwAgF6xbJd0yXXrjMX+7rFya8T/S8d+UHCfq0gHIl5eAly9f7s34G+f0+AfEhga1BQAAROiNJ6Q/ni9tbva3h46SzvujtPekqEsGIN8aAJMnT95lmtbW1r6WBwAAZOrvt0p3fEVq3+ZvjzpEOv9WqXq/qEsGIB8bADbTb1dduwDFrVq1KrNSAQCA4Oz/5IevlP46L7Fv3BS/2085T+cB9PEdAKvw33LLLb12AWpra1NdXZ1qa2uDZgsAADKxfYv0pwu7V/4n/at0/iIq/wAyewJw1VVX6YADDvA+p02b5r0QHH83YOnSpZo0aZIuvPDCoNkCAIC++nCt9MfPS2892bHDkU76kXT0l3nZF0DmDQBjIwBZJX/+/Pne9pIlS7zPefPm6dJLL+1LlgAAoC+aXpF+P0Nq7piXZ8AQ6eybpYNPjbpkAAqpAWCj/CxatMh72XfFihXenABjxjCLIAAA/Wr1X6WF/yRt6Rh8o2J36fw/SntOiLpkAAqtAdC1IWBj/wMAgH628rfSnV+XYjv87d0O80f6qdwr6pIBKOQGAAAA6GexmPTgD6THfprYN/4k6ZxbpEHDoiwZgDxBAwAAgHyxfbP051nSC39J7DvqS9JJV0glpVGWDEAeoQEAAEA+2Ngo/eFz0jsN/rZTIn16nnTURVGXDECeoQEAAECua3xR+t25Uuub/vbACumcBdKBJ0ZdMgB5iAYAAPTXJE0v3C7nxbtU3fqBnMrdpENOkw49UxpQHnXpkMteWyYt+hdpa5u/PXxv/2Xf3T8adckA5CkaAAAQtpfukW6fLW1p8bptDHJjct8vkV66U7q3XjrrBumgk6MuJXLRiv+W7r5Ectv97T2O8Cv/w3aPumQA8ljBNQBsZuLFixd7cxPY7MSzZs3y1gEgEi/fI916Qeem48a6fXrjt//hPOlzv5cOPiWqUiLXxNqlJf8h/e2XiX0HnyZ99kZp4NAoSwagABRcA2DGjBneTMVm2rRp3jwF8W0A6Fc7tsr5y5c7NtwkiWy/4z8h+NbLdAeCtO1D6U8zpZfvTuz7+FelaT+QSkqiLBmAAlFQ/5I888wz3barqqrU0tLiPRUAgP5WvvpeOd4Mrckq/3Gu3z2o69COKE5t70kLTk5U/p1S6bSfSSf+kMo/gMJ+AnDjjTdq1apVmjdv3k7HrDJv+8eNG9dZyb/oIn8ItBUrViRtGNANCEB/K1+zTK5Tkujusyv2tODBH0rlw6XySn8Z1GU96f6O7bKBYf9ICNN7z0m/r5M2vOtvW0zP/bU0bkrUJQNQYHKmARCv2JuFCxd2Vup7pqmtrdWaNWu8ir+pr6/X1VdfrTlz5nh3+0eMGNHtHEu3fv36fvopACDB2dKSfuXfxHb4wzzaQ4O+GDAk/QZDb/tLB/XxwsjYK/dLi/6ftP1Df7tqX+n8RdLog6MuGYAClDMNALtDP3/+/JR38q2BYA2DeOXfzJ07V9XV1V4DoLfKfm+NAgDoFyVl8R7+6bGXOwcM9V8Mbt8a/HrbN/nLxveDn+vNK1Wm0QOHyRlS3UtDoipJQ6LL9sBhdFPpi6fmS/ddJsUbi3tP9l8KrxgddckAFKicaQCkw54M9OwWFG8MLF26VJMmTepsRMRZg2DixIn9Wk4ARW5zs5yHrtDAd/6WfuXfnPpT6fC6xLwBNu67NQZ6Lt32t/W+f9vGwMV2YjvkbGmWbOkTp0sDIdEwcAYN07DYQDnVu0uDK4uvG1OyOSBsVJ9l35eevjGR9iNnSWdeLw0YHGWJARS4vGkA2J18W3rry2+NAOvnH+8G1PUcS0//fwD9NnTjM7+Wlv2nnM1Buh46fgX40M8kdtloQLb09S5w+45EgyCdBsOWVrlbWtX+4XqV7vjQf3k5SPcljytttXxbu3VjskbQ0Ay6MTmDhmu4O1BO1W7S4KrU3ZhyreKcag6IkjK/21fc8d+SPvUdnqIACF3eNABSjeRjXXzWrVvnrS9atMh7L2Dy5MnePAC2nY6RI0fKcbrfq9u8efNO6WKxmFzX9T4zPZYqfdTCKlum+QY9P9306aQj9tHmm/Oxf/1xOQ/MlfP+/yWOlQ2We9CpKnn+T96208toQG7HMwL3M7+SSgdahsoKp6Sj206iy+Su2M/S1NSkUaNGqcT+PbSnCD0bCl3WHWtMdG7HGxvx9RY57duy0o3JvqEhaZ7ulpTJKa/UyLIKOUOr5PbouuR2XR80TAM2xxRr3y/RsBg0zP/uMvi7j+93X7pb7sJ/6vwZdpoDoqPy7zqlck//hXTE+fEM1N/4uw+WZlexT3d/1MIsF7Hv/9gPHrzzDRC7dl43AHYlfuffuvvEu/ycc845gfOxLyreEGhsbNzpuAWwtbXVS1fS4y5N0GOp0kctrLJlmm/Q89NNn046Yh9tvrkae7W9oyGPXqGyt5Z2271p3Cl659BZGrrHgRq8zxRVPniZnG1tclUiR7HE58Bhap0yT1ura+0fHUWp95/TuuSMlMptCZjhjq0q2bbBe7Kwaf27Gj5QKt22QU7HUrLVPtu8NM7WDSrZ1iZn20aVbLXPNpVYQ6AP3Zi0aZ3KtE5qe2Pn4z22a3ppkLkDK7y4xAYNU2zgMFU45do2dITcQZXesdig4d7x9gEV2ra9RM2Ne3iNCn9/hWJOmdrWN2q3O76ctOGXuJ7klg1S4+jjI40/f/fB0iQ7FnR/1MIsF7HP7djnTQOg64u/PWVjlB+r7FdUVCTufqX4pbAGQm9pgh5LlT5qYZUt03yDnp9u+nTSEfto88252G/f7M3S6jz2Uzk7Ek8L3d0Pk3vSVRq4z9GqiP97svt50sSzFLNx/l+6S9taGzWgcrRc6wN+6GdUWVZe8LGPNTWpMmC+MavMb92g2KZmNb/3ukYMKfUaDvEnDk63Jw7dn1C4m1v8hkbAbkxWWfeusW2DSjteo0g1NlJvQ0y4ZYO1e0mZ17DZ9fUkZ/smjV77hPSxjvc/IsDffbA0yY4F3R+1MMtF7Ps/9r31XGlra/MGy8nbBkB8JJ+uffzjbF+qBkI6LCi2WJDi68mkShP0WDrXi0pYZcs036Dnp5ue2CcQ+xRp7Anhi3dI93/HH7KzgzukRs6Uy+VM/Gc5JaVeN45u+Q4cIh1xnmIfq1NzY6NGjx5N7HelZKBUViMNrlZ7e4WcNL8z+w/XbuqMHjVKzo5NSd99iG1u1qb172toqb383Nu7Ei1SH7oxWYMw0MvfTolKbOKvI85TlHIq9nn8b37Q/VELs1zEPvrYJ7tm3jQArIKfakz/6dOn93uZABSZD56X7p8rvf5o5y7rv73po5/X4E9/X85QhhzOKdZYsz79tlT2cjwW08bGRg0ZPVpOsjuB2zZp7durNbJigH9Hv8tL0zHr2rTuPQ0t3S7Hazx0PH2whsO61XJiaTYe7CnF5r6OvAQAweVNA8Cce+653gzBvb0cPG3atIhKBaDgbW7WsMf+U87zv+8+Ms7YT8o98QptUI0G20ukKDxl5YoNGSmNHL3z6DxJGhBuLKZtv6nToNeXptcFyV46HrzzI3oACEtuPYfqMeRnTza6z+LFi7vts3H/e479DwBZG9Zz+c1yfjlJQ//x20Rlrmo/qe530j/dLo0+JOpSIgdtGTM1/fcPLN3Bp4ddJADIvScAVuG/8sorvU+7q2+Tfplx48Z54/sbG8+/6zCflq6mpsabHRgAsur1x6R766UP/tHZn9sdMESOjdV+zFf8Mfq9nclHeEHx2jL2ZLlPXOEPlZpiFKBe54AAgGJpAFj//vgsv6nu6Hcd5hMAsq7lLWnJ5dLzf+62e/MBp2nQaVfJqdonsqIhj5QNkvuZ6+Xc+vmOsX56awR0NC3PuiHRoASAYmoAAECkbMz5v/1SeuxnUpdhPbXH4YqddJVay8dq9PA+zsqL4nTQydLnft85E7DrlHjdguKf3p1/q/xbOgDoRzQAuo5TzWywnZgVMlgaYp/HsW9v16DX7pXz9LVS29ud+90hI+VOuVw64vOK2ejwTU15NytkUEUX+/6YEfTAT0vffFFKMgeEvWQcxcy/PRH7YGkK5e8+zHIR+9yIfbLr0gDoUFtbq9LSUtXV1Wn27NkpJ4dgNtjo8g16frrp00lH7Asv9mXrXtKwx36k6vee7tznlpRp00c+r42TviJ30HBp7bo+xT7o/lxQTLFPN13WYr/7pxQb/Qlvf2Vlpb9/vb0fYEv0iH2wNIXydx9muYh9tLFfsGCBt7S3t/d6nAZAh4aGBmYC7iKssmWab9Dz002fTjpiX0Cx37RezsNXSA0Luo3U4o6dIvekKzR41EEanGZeyY4F3Z8LiiL2AdMR+2jzJfbhCrNcxD7a2NuAObbk/UzAYYvP0MZssAnMChksDbHPg9i37/Aq/XroR90mXtoxfB+VnHyVSg4+1TunkGeFLNrYZ5CO2EebL7EPFzMBF3bsk12TBgCA4rDmEeney6TG5xP7BgxV7Phvau3YGRq95z7+zLEAABQ4GgAAClvLm9LS//BfwuzqY3XStO9JFbtLjY1RlQ4AgH5HAwBAYdq+SRXLfyHn77dIO7Yk9u9xhHTy1dK+R/nbOTYqBwAAYaMBAKCw2My8z98m54HLVdH2TmL/0FHS1O96w3oqx/rgAgDQn2gAACgc7/+fdG+99Mbj8TlWvWE9naO+JH1ijj/xEgAARY4GAID89+E66aEfSg3/I3UZ1nPrPsdpwOk/ljP64EiLBwBALqEBACB/2bCeK26RHrpC2tKS2F89RrETf6TmqokaPXK3KEsIAEDOoQHQZaKGsKaHTnYs6umhUwmrbMU2NXiyY8Q+C+eveUTO/ZfJaXyxM407sELu8d+SjpqtWMkAuU1NkcU+6P5ckDexz1J6Yp9A7Isz9mGWi9jnRuyTXZcGQIfa2lqVlpaqrq5Os2fPzur00MmOpUoftbDKlmm+Qc9PN3066Yh9tPnGzy9pe1uVT16t8jUPdDu++cAzteGobyo2dDdpfWvksQ+6Pxfkeuzz5e+e2GcvX2IfrjDLReyjjf2CBQu8pb29vdfjNAA6NDQ0qKKiQk1NTVmfHjrZsVTpoxZW2TLNN+j56aZPJx2xjzbf2JYNGrbiOlX8/RY57Vs797t7TpT76as0aO/JGpRDsQ+6PxfkbOzz7O+e2GcvX2IfrjDLReyjjX19fb23tLW1qbq6eqfjNAA6xKdoDmt66GTHcnVqcMO08MHSEPuQ8rVhPf/xJzlLLtewtncT+4eOlqZ9V87h58tJkl/Usc/FaeHzKvYZnE/sgyP2xRn7MMtF7KOPfbJr0gAAkLve+7t072XSm090H9bz6NnSCTas5/CICwgAQP6hAQAgN4f1fPA//WE95Xbu3rrPCRpw+rVyRh8UafEAAMhnNAAA5I727dLyW6SHbVjP1sT+EeM6hvWcoNEjR0dZQgAA8h4NAAC5YdVD0n2XSU0vJfYNrPBn8D1qtlRSJjU2RllCAAAKAg0AANFav0Z64DvSS3d133/4+d5Lvhq2u7+dY+NnAwCQr2gAAIjGtg+lR38iPXGd1GVYT+1VK518tbT3pChLBwBAwaIBAKB/2bCezy2SlvyHtKHLsJ4Vu0nTvid97HM2blmUJQQAoKDRAADQb8qanpdz9zzpracSO0sGSMd8WTr+Eob1BACgH9AA6DJTmy02VbN9pkqXLE3ax3ZskV64XXrpblW3NkqVoxU7+FTp0DOlsnLlgnS+iyjyDXp+uun7LfZ9/Dn6Uyhl+3CtN6xnzcrfyOkyrKc7/kS5J/5IqjkgfvGCiX3Q/bmAv/tgaYh9+PkS+3CFWS5inxuxT3ZdGgAdamtrVVpaqrq6Os2ePTvl9NCtra1eMHubHnpXxwauWabqh+eqZFubXJVokGJy3yuR89Jdit1Tr9Yp87R1/ymKWqqfJcp8g56fbvp00mUa+67Hwvp+syGrZWvfriHP/04VK36pkm0bOnfvqNxfbcd+W9v2/YTUrrRG98m32Afdnwv4uw+WhtiHny+xD1eY5SL20cZ+wYIF3tLebv/J7owGQIeGhgZVVFSoqalJo0aNSvlLYVM695ZmV8fK33hI1Q98pXOfo1j3z20bVHXfl+XW/VY66BRFKdXPEmW+Qc9PN3066TKJfc9jYX2/2ZC1sq16UM7935az9uVE3gOGyv1EvUqOmqWq0oEFHfug+3MBf/fB0hD78PMl9uEKs1zEPtrY19fXe0tbW5uqq6t3Ok4DoIMFxRYLUnw9mVRpkh7bsUVVD13mp+nSBaLbud5+R85f/k361svSgGi7A6XzXUSRb9Dz000fWuyTHAvr+82GjMq2frV0/3ekl+/utts94vNa+7HZGrn/R4om9kH35wL+7oOlIfbh50vswxVmuYh99LFPdk0aAP3lhdu9bj+75kpbWqQX/iIdXtcPBQOyZOtG6dEfS3/7pdS+LbF/78nSyfPk7jFBMSbyAgAgcjQA+onz0j1en/94d59dpJZW/q/00c9KpQP6oXRApsN6LpSWflfa8F6PYT2/L32szh/WM8defgMAoFjRAOgvm9enWfk3rvT6Y9JV+0n7HiXtd6y0/3HSnhOlsmD9poFQvfOMdG+99PbTiX3Wt//oL0snXCINGhZl6QAAQC9oAPSXwSMCPAHosP1D70VKbzFlg6V9jvQbA9YosJlSywaFVmQgqY1N0rLvSyt/6zdY4w48WTrJhvUcF2XpAABACjQA+ol78CkqeenO9E/Y+0ip9e3uM6Xu2Cyt+au/mNJBfoPAe0JgDYLJ0oDB2S88ENe+XXr6Runhq6StXd5pqRkvffoqafy0KEsHAADSQAOgvxx6pjfOvw31mWwUIJ8jlVdKX7jTv7vfvMbvDvT649Ibj0utbyWStm+VXn/UX/7a0fVir0l+Y8AaBfscJQ0c0h8/HYrBa0ul++ZKa19J7Bs0XPpEvXTkRXRPAwAgT9AA6C9l5d4kXzbOv1fJ77URYPslnXVDYgjQEWP9ZeI/+9vNb/gNAmsM2GfLG4nTbeSVN5/wF10jlQyQ9pqYeEKwz9HSoIp++GFRUNatku7/d+mVe7vsdKQJF0hT/0OqGB1h4QAAQFA0APqRzfBrk3x54/xvaZHrlMhxY52f3p1/q/wfdHLyTKr385cJn/e3W95KNAbs08Zgj4ttl956yl8e+4nklEp7Tuh4QnCctO/RUvnw8H9w5KetG/zfmyd/1WNYzyO9YT29xiUAAMg7NAD6m83wa5N82Tj/L96prW0faODw3aRDTpcO/Uzwyb+q9pGqPicd/jl/u+3dju5C1m3oMWnda4m0brv0zgp/efznklMi7XF4xxOC4/0GweCq7P68yD9uTOWv3C7n6Z9KG99P7B+2R8ewnufarCZRlhAAAGSABkAUrJJ/eJ3cw2aoubFRo0ePlpOt2eGG7yl9bIa/mA3vdzwh6HhKsPblRFp76vDuSn+xyZusW8fuh3WOMuQMPkAS3TuKyjsNcu6pV9U7yxP77N2SY74iHf8tupABAFAAaAB0iMVi3uK6rveZKl2yNEGPpXO9jA0dLR16lr+YD5ukN56QY42CNx6T0/hil8Su9P5z3lLy5K802hoEow+Vu/9xcu0pwX4fl4bUZFScTH/moOenm74gYx/ExkY5D/5AzrO/i7+J4nEPPFnuiT+SRozxd2RQ3mKLfdD9uSCsshH7vv0c/YnYF2fswywXsc+N2Ce7Lg2ADrW1tSotLVVdXZ1mz56tkiR35O2LbG1t9YLZM03QY6nSh2rkMf5Se4mczes18P0GDXznKQ18b7nK1r3cOUqR99n4vLc4T8/39m2vHq9tex6pbXtO1vY9Jis2ZGSgS2f6Mwc9P9306aQriNj31L5NQ/7xW1U0/JecbRs7d28dvr82Hvcdbd/3eGmHpMbGjC9VbLEPuj8XhFU2Yt+3n6M/EfvijH2Y5SL20cZ+wYIF3tLe3t7rcRoAHRoaGlRRUaGmpiaNGjUq5S+F4zi9pgl6LFX6/jNa2u9gSf5Lxe7mZrlv/s3rLtS+6q8qW/eS/4JyhwHNr3rL0Od/56cfeaDXXch/QnCsNGz3lFfL9GcOen666dNJV3Cxf3WJnAf+Xc66Vzt3uYOGK3ZCvdbvd4ZG7b5n1isCxRT7oPtzQVhlI/Z9+zn6E7EvztiHWS5iH23s6+vrvaWtrU3V1dU7HacB0MGCYosFKb6eTKo0QY+lc71+NbRGOuQ0xQ46Revs/YThg+S8/XTHfAOPS+/93X+ZuINjY8KvfUVOwwJ/x4hx/jsE8dmKK/fa6RKZ/sxBz083fdHE3ob1tPH8X72/awm9oWadKZfLGVIjp7ExlLIVW+yD7s8FYZWN2Pft5+hPxL44Yx9muYh99LFPdk0aAEjNhiY98CR/MVva/GFF48OO2gvEMesj0mH9Kn955tf+dvX+HY0BaxQcKw3fO5qfA/6wno9cI/3tV/4QsXE2YZwN62lDxJoc66MKAACyiwYAgrF5A8ZP9xezdaPfIIiPNPROQ/fKZfPr/rLyt96mU7WvKkfXSgdPlcYcL1Xtx5CSYbMK/XN/lJZ+T9r4QWL/sD2l6T+QDjuHGAAAUERoACAzNizkAVP9xWzbJHldhmyUocelt5d3m0TKaXlTg1velF75s7/Dngh4E5PZXATH+bMeUxnNnrcbpHsv9RtmcaWDpI9/VTruGwzrCQBAEaIBgOwaOEQa+0l/Mds3S2+v6Jyt2H17uZwdWxLp296WnrvVX+KTTXmNgY7JyWoOoEHQFxs+kJZ9X3rWf1m708GnSSf+MDGsJwAAKDo0ABCuAYP9rj622Cgz2zZr/fPLVN36gkrefFx68ylpx+ZE+g3vSf9Y7C/xeQw6nxBYg2B8RD9IntixTXrqeumv10jbNiT2jzpY+vRV0rhPRVk6AACQA2gAoH+VDdL2PSZJh58ilczxK6z2IvEbj/kvFluDYPuHifQfNkrP/9lfrAvRkJGq2r1WOnCK36gYdYi94h7dz5NLXrnfH93HXsKOG1QpfWquNPlCqXRAlKUDAAA5ggYAolU2UNr3KH85/ltS+3Z/qNHX4w2CJ7vdyXY2rVX56vslW8zg6sT7A/a520eLr0Gw9lW/4v/aki47Han2C9KUy6WhwSZrAwAAhY0GAHKL3aXee5K/HHex1L5Dev+5zmFH3TeekLO1LZF+c7P00l3+Eh+2dN+Pd8xFcKw0+qMqWDYk6yNXS0/e0H3kpX2P8Yf13OPwKEsHAAByFA0A5LbSMmmvif5y7Nfk7tiudS89qhFtL6jkjSf8l4u3tCTSb2mVXrnXX+w++KBhqtptot9lyN4hsEqx5Znvw3r+/Q/+sJ7WRSpu+F7+sJ4fPZsXpwEAQFJ5XhNC0Skp1Y6Rh0qHflL6+Ff8ynDj8x3DjtpTgiekTes6kztbN6j8zb9KtpiBFdK+Rye6DdnkV/nUN95GVLp3zs7Deh77df+JycChUZYOAADkARoAyG/W33/3w/zl6C/5DYKmlxLDjr7xuJwPmxLpt22UXlvqL2bAEH8m3P0+rgHDD5VGTJUGDlbO2fC+f8ff7vx3dcjp/rCeNuMyAABAGmgAoPAaBLsd6i9HzpTb3q61rzypmg0vquTNJ/wnBRvfT6Tfvkla/ZBKVj+kGhum9O5yaZ8jpf063iHYa5I0oDy6n2fHVunJX0mPXOs3XuJs9KOTr0rMtwAAAJAmGgAobI6j9upx0kHHSEdeKLmutG5Vx7Cj/lMCbXg3kdwmKVvziL/Eu9fsPdlvDNjLxYP66U67lfOV+6T7vy2tX53Yby85f+rfpUlfzP93GQAAQCSoQXSIxWLe4rqu95kqXbI0QY+lc72ohFW2TPMNen6v6UeM9ZcJ/+xXtJtfl/v6Y9r6yjINfr9Bjs1OHNe+tePdgsdkg4vuVjJA2qtW7n7Heov3tGDg0PRjbw2MF26XXrpb1a2NUuVoxQ4+VTr0TKms40nD2lfk3P9tOauWdebhOiXSxC/Itcr/kJrEy8AhKOjY9zFdX/7ug+7PBcQ+WBpiH36+xD5cYZaL2OdG7JNdlwZAh9raWpWWlqqurk6zZ89WSZKx5O2LbG1t9YLZM03QY6nSRy2ssmWab9Dz00s/VLE9p6t16JGqrKzUgI3vasB7yzXw3ae9pWxDokHg2HCbbz3pLc5jP5ZbUqbtow7T1j0mafvwQ9W09Xg55cN6LcPANctU/fBclWxrk6sSDVJM7nslcl66S7F76tV6/Pc0sOn/NOQfv5ET29F5/rY9Jqvt2H/XjpGHSBvbpY1dRv4JQXHFPr10ffm7D7o/FxD7YGmIffj5EvtwhVkuYh9t7BcsWOAt7e3tvR6nAdChoaFBFRUVampq0qhRo1L+UjiO02uaoMdSpY9aWGXLNN+g56ebvlu63XeXDpgoaZZ/rPXtzpeKY6sfVVnbG53nWUV94AcrvcWq/e6jpdIeR3gvFXtPCPY9WrGBw1T+xkOqfuArifMU6/65rU1Vy75p03d1cofvJXf6D1R26Fka0Y/DehZ17LP4dx90fy4g9sHSEPvw8yX24QqzXMQ+2tjX19d7S1tbm6qrq3c6TgOggwXFFgtSfD2ZVGmCHkvnelEJq2yZ5hv0/HTTJ01Xva+3xD5Wp7WNjRpdvkMl9hTg9Uf99wjWvZrIw22X3m3wFudv10lOiZzdPqpqG5lIbrcKfrdrd92w9w6Ou1jOsRfLGThEUSD2wdIkOxZ0fy4g9sHSEPvw8yX24QqzXMQ++tgnuyYNACCo4XtKh53jL2bDB4q9/qi2vLhUg5tWyvEq+x3cmBybyTiIad+Vjvm37JYZAACgAw0AIFPDdpM+8lm1jTpO5aNHy7GJyKzLkNdt6HF/orJ02cu+b/6NBgAAAAgNDQAg2ypGSR8501/sIcDNJ8p5+6n0znVj0ubmcMsHAACKWm51RAMKUcVob9SftJ8ADN75ZR0AAIBsoQEAhMw9+JTO0X52nTgmHXx62EUCAABFjAYAELZDz1Rs4PAUYwDFOVJ5lXToZ/qpYAAAoBjRAADCVlau1inzOjZ2MRDoWTdIAzpmBAYAAAgBDQCgH2zdf4rcut9K5ZXetmt9/bt8evvP+4N00MlRFhMAABQBRgEC+stBp0jfell64S/Si3dqa9sHGjh8N+mQ0/1uP9z5BwAA/YAGANCfrJJ/eJ3cw2ao2WYVtnkDcmxWSAAAUNioeQAAAABFhAYAAAAAUERoAAAAAABFhAYAAAAAUERoAAAAAABFhFGAIjR48GDvc/PmzVEXBf2M2BcvYl+8iH3xIvbFa3COxp4GQIdYLOYtrut6n6nSJUsT9FhJx/CPqa4XlXS+iyjyDXp+uumJfQKxD5Ym2bFk+4l9+OcT++CIfXHGPqy4ZyNvYp8dya5LA6BDbW2tSktLVVdXp9mzZ3cGrLcvsrW11QtyzzRBj02YMMH7bGxsTHq9qKT6WaLMN+j56aZPJx2xjzbffIt9sv3EntgT+/DOJ/a5Efds5E3sM7NgwQJvaW9v7z2BW+RaW1td+xqam5vd7du3u1dccYX32d7e3uuSKk3QY+Xl5d6S6npRLel8F1HkG/T8dNMTe2Kf7dgn20/siT2xJ/aFHndi354zsbf6rdVzrb7bFQ2AjgaAfdoXNX78eO8zmVRpgh4bOHCgt6S6XlTS+S6iyDfo+emmJ/YJxD5YmmTHku0n9uGfT+yDI/bFGfuw4p6NvIl99uu5XRV9FyBrBJm2tjbv8Y09KrH1VI+FkqUJeqzrtXPpkaBJ57uIIt+g56ebntgnEPtgaZIdS7af2BN7Yh/e+cQ+N+KejbyJfXbYdbuWI86xVoCK2Ntvv6199tkn6mIAAAAAoXjrrbe09957d24XfQPAWmzvvvuuhg0bJsdxoi4OAAAACtyzzz7rfR5xxBFas2aN9wKxrWebVfM3bNigPffcs9sTiKJvAOSi1atXa/HixRo7dqyWL1+uWbNmeesonvjX19frpptuUlVVVdTFQT955plntHTpUm/d/u7nzZvH332RiMe9paXFi/306dM1bdq0qIuFfmb/7vP/ffGYNWuWbrzxRm994sSJWrRoUb/GvujfAchFM2bMUENDg7du/wlMnTq1cxuFXxEYMWKE1wC0BgCKK/Zz5szx1u0/BasErlq1KupioZ/+zV+2bFlnpd+2m5uboy4W+vkGgP3dW6UQxTP8vBvhPfjceRMFnf8IdGV3gO2ukN0VRuGzCoDdCeDOf/H93V955ZWd2+eee673N8/ffXGwyr/93Zv169dr0qRJURcJ/WzFihXezR+gv/AEICTWkre7d/YYvyf7T932jxs3ztu2yt5FF13U+Y9AsgoCjwULO/Yo3tjHH//GWSXQUCEojr/7eOXf0i1ZskTz58/vx5Ij6n/z7Xzb19v5KNzYt7S0eOfbv/NRdPemAZBF8WCbhQsX9lqxszT22Mde+Ijf5bV+f1dffbX3+N9+IXr+p2/p4hUCFG7sUdyx79rn2yqAlg9Pgorn795u8tgNIG70FFfsLe488SnO2F/U5d94uwnQ790+szTPAHqYOHGiO2fOnJ32X3TRRTvtj8/SZubPn++d29XYsWPdRYsWhVxiRB37rqqqqrxjKL7Y29+6pUfxxd4sWbLEO7Zq1arQyorcib39n9/1/3riXjyxb2ho6Ha8v//ueQegn1lrMf44KC7eArSXAHu7E2B3/+OPiFG4sUfhSjf2tm5/7/EuIPZEEIUde1u6Ho//H8D7H4Ufe7sbHO8GYkv8b7/nu4AovNg/88wz3sv+PfVnt08aAP3I/tBt6e0Rr/1i2C+EVfS7/qcfT89j4cKPfc/0KK7Y26dV+uwF4HilAIUfe/sP/5xzzuncb92A7BjdQgo/9tYVxBbrChLvRmL9wLnhV/ixHzt2bLcRn6xRYN1A+7PbJ+8A9KNUd3TsP4F169Z56/YyoPUVmzx5svdiSNeXA1HYsY/fGTA2Koz9DnStHKAwYx/vL2q6/qfAC+KFH3ur7Fm6eIPPhny2UYF4/6M4/s03Vlm0O8b2aX3LaQQUfuyrqqq8Cr89BbJ1+7vv77oeDYAcEr/ra3/48T9+Kn/FFXv7B8EWXgouHvE7RczJWLx/9/w7X3y6PuWNjw5Dg79463pRoAtQP0p1R4dRfgobsS9exL54EfviReyLV1WexJ4GQD+Kv9zRW/9u28cj38JF7IsXsS9exL54EfviNSJPYk8DoB9Z0FON6W9jwKIwEfviReyLF7EvXsS+eFXlSexpAPQzG+Gj50QP8RdGuk4EhMJD7IsXsS9exL54EfvidW4exJ4GQMjDQPVko/ssXry42z4b95ep3wsHsS9exL54EfviReyLV0sex97pmH0MWWC/BDZ0Y3wMb3sEZK1Amwyi55Tvt956qzfEY7xFyKgv+Y3YFy9iX7yIffEi9sWrpUBiTwMAAAAAKCJ0AQIAAACKCA0AAAAAoIjQAAAAAACKCA0AAAAAoIjQAAAAAACKCA0AAAAAoIjQAAAAAACKCA0AAAAAoIjQAACAPGEzS9bW1qq6utqbdbJQ2Iyas2bNUn19vfe5ePHi0L4HSz9jxgzlolwuG4DCwkzAAJBnpk+f7k0tv2rVKhUCq8zX1dVpzpw53ro1CNL52YJ+D5avNRrGjh2bc99dLpcNQOEpi7oAAIBgrJJoFd9CsHTpUu+O/rJly7ztRYsWhfY9VFVVqbm52fvMNblcNgCFhwYAACAyVvk38YqvVerDlMsV7FwuG4DCwjsAAAAAQBGhAQAAAAAUEboAAShq1ofcRl6xzxEjRngvYN54443eMVu3Lirz5s3TxIkTu6W3lzZtves4Crbf0q9fv1433XSTzjnnnLSuYf3gLb1dI94n3ixZssQ776KLLuq17FaGeD7xvGwUnXhZe7JRdkxNTY2WL1+uyZMney/eGrvmzJkzvTJOmjTJ64t/5ZVXdvaxD9I331i5rDx2LbNu3TrNnTu3s5uLXc/yj/+s8dFv7MXeZD9vMul8D5Zm6tSpO8UtaPx7Xtd+hjjLw9J27caUzvearGzpxq5rWWwkIVuPs+/dygQA3dgoQABQ7M455xy3qqrKnTdvntvc3Ny537Z7+6fS0ve2f9GiRd5++wx6jSVLlnhL3KpVqzr3d3XRRRd5++fMmdNtv+U5duzYna4d3z9//vxu+6dNm+bl1XPfxIkTO/O2T7tW1/LuiuXRs2wNDQ1eGeyzq2TfbzqCfg9dz8k0/vFzuqa1n83S9vwZ0/1eeytburGzvHvGyM7pGV8AMHQBAoCOl0/tzql9dn0ZM37n1+7M90zfm2R339O5xvz58zVt2rRu6S1dsrvvPe/sWlq7Uxx/QhFnd6BNzzvrdr7d7e46ko5d0+5a2534eBq7E57uC6p2/RUrVuxUNvsZ7YlIGOPcp/s9mGTzBgSNv31HNl/BwoULu6W1+MW/75757+p77a1s6cQuvvSMUdAnKQCKBw0AAOjoWmG6VsC7VvR7ViTj6bN5DevW0ZN1S7EuRT0lq5Cfe+653me8a4qV2yqqPa/ZtXIb74bTVc+GSLquvvrqpBVPG+vfKqq7mugriHS/h2zH3/bbYvEJMjRpkO813dhZGSytzaFg6buWle4/AHrDOwAA0M9DMSa7RjaGwOzax97Y3XhjlVKrnPfUW//2vn4H8WsmaxzFfz7rwx5/PyIsPb+HoOelky4+YVe873586dlYCJp3XLqxs3zj74vEn7DYPnvnout7AgAQRwMAAApYvNJtXU/SrQz2vKudLfEnGckqyPnGugVZJdwq2/bSsd2pt8ZNz+5Cff1eg8TOrm0TiVmDx65vDQLrBmXlCfoCN4DCRwMAALIo6spt/PrxvuZd77qHLf4kIX5nPFnZrKtKf38P2WZdbexuu1W0e+uikw3pxs4q/faUwJ6qWAxssQZDvIwA0BPvAABAHyTrzhHvthFVQ8NeDLWyde2Hb3ep7a5wb+fY/mR3rPvCrtv1xdiubr311p3K1p/fQzbZ3XWr+Pes/Hft/991SNe+Sjd29t32ZA0C+w6ibpQCyD00AACgY7z03sQrTz1fxI1X/LpW+Cxt/O53by+C7uoayfR23K7fs194fGx96/LRtYFid4NtDPqeo9NYvr3dwU71Euuu2EhGdufausR0ZRVVq5QvW7as1++kr5XUIN9DNuNv+fb8nmy760vDtnS9fl++13RjZ3f7ezbk4nMP9Md7LQDyi2NjgUZdCACIilWS7G5u/C5rfChHu/Man9grPsRifCKneIXKzrEKb3z0Httv59pwjl3TW+Ux3WvYfpsUzO6i27nxSp3tj991jo+0Y/na9e2lW6vAWt6WJtnLxFYBb2ho6Cyfpe86EVh8CM94GS2fvvYftzJ2HebS8oz3l0/2vdv1ek6ktatrpPs99Ha9eL/9vsQ/fg07ZufYte16dtc9vt+6H9k5u/pek5Wt69OLXcXOngDY72HXRkbPydcAII4GAAAAAFBE6AIEAAAAFBEaAAAAAEARoQEAAAAAFBEaAAAAAEARoQEAAAAAFBEaAAAAAEARoQEAAAAAFBEaAAAAAEARoQEAAAAAqHj8f18ew71NnRgtAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 5))\n", "plt.loglog(sizes, means * 1e3, 'o-', lw=2, ms=8, color='C1',\n", " label=r'\\texttt{gwModelRemP}')\n", "plt.xlabel('number of binaries')\n", "plt.ylabel('evaluation time [ms]')\n", "plt.legend(frameon=False)\n", "plt.grid(alpha=0.3, which='both')\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }