computational_astrophysics_.../nbody/task2-particle-mesh.ipynb

1099 lines
1.0 MiB

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# automatically reflect changes in imported modules\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"from pathlib import Path\n",
"import numpy as np\n",
"import scipy.integrate as spi\n",
"import matplotlib.pyplot as plt\n",
"import astropy.units as u\n",
"from astropy.visualization import quantity_support\n",
"quantity_support()\n",
"\n",
"import utils\n",
"import utils.logging_config\n",
"utils.logging_config.set_log_level(\"info\")\n",
"import logging\n",
"logger = logging.getLogger(\"task2 (mesh)\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"DATA_ROOT = Path('data')\n",
"# DATA_NAME = 'data0.txt'\n",
"# DATA_NAME = 'data1.txt'\n",
"# DATA_NAME = 'data0_noise.txt'\n",
"DATA_NAME = 'data1_noise.txt'\n",
"CACHE_ROOT = Path('.cache')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:59:49 - utils.load - Loaded 9913 rows and 9 columns from data/data1_noise.txt\n",
"19:59:49 - task2 (mesh) - Softening length: 0.037\n"
]
}
],
"source": [
"points, columns = utils.load_data(DATA_ROOT / DATA_NAME)\n",
"logger.debug(f\"Fetched {points.shape[0]} points, columns: {columns}\")\n",
"\n",
"softenings = points[:, -1]\n",
"assert np.all(softenings == softenings[0]), \"Softening lengths are not uniform\"\n",
"SOFTENING = softenings[0]\n",
"logger.info(f\"Softening length: {SOFTENING}\")\n",
"\n",
"# reorder the columns to match the expected order (x, y, z, mass)\n",
"particles = points[:, [2, 3, 4, 1]]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"utils.particles_plot_3d(particles[:, :3], particles[:, 3], title=\"Particle distribution\")\n",
"# Note: colormap corresponds to the mass of the particles\n",
"utils.particles_plot_2d(particles)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## Also consider the velocity distribution\n",
"velocities = points[:, [5, 6, 7]]\n",
"r = np.linalg.norm(particles[..., :3], axis=-1)\n",
"v = np.linalg.norm(velocities, axis=-1)\n",
"\n",
"\n",
"radial_velocities = np.zeros_like(v)\n",
"circular_velocities = np.zeros_like(v)\n",
"for i in range(particles.shape[0]):\n",
" if r[i] > 0:\n",
" radial_velocities[i] = np.abs(np.dot(velocities[i], particles[i, :3]) / r[i])\n",
" circular_velocities[i] = np.linalg.norm(np.cross(particles[i, :3], velocities[i])) / r[i]\n",
" else:\n",
" radial_velocities[i] = 0\n",
" circular_velocities[i] = 0\n",
"\n",
"plt.figure()\n",
"plt.plot(r, radial_velocities, 'o', label=\"Radial velocity\")\n",
"plt.plot(r, circular_velocities, 'o', label=\"Circular velocity\")\n",
"plt.xlabel('r')\n",
"plt.ylabel('v')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### System characteristics\n",
"- central black hole with mass $\\sim 10 \\%$\n",
"- particles orbit circularly in the equatorial plane\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Choice of units\n",
"Recap of the particle properties:\n",
"- $\\sim 10^4$ particles\n",
"- around 1 black hole (10% of the mass)\n",
"\n",
"$\\implies$ ???"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:59:50 - task2 (mesh) - Considering a globular cluster - total mass of stars: 9.999999999999998, maximum radius of particles: 0.9096731180509756\n",
"19:59:50 - utils.units - Set scales: M_SCALE = 1e+03 solMass, R_SCALE = 1.1 pc\n",
"19:59:50 - task2 (mesh) - Black hole mass: 1e+03 solMass\n"
]
}
],
"source": [
"# Set G = 1\n",
"G = 1\n",
"\n",
"# from the particle number we can estimate the total (stellar) mass, excluding the BH\n",
"M_TOT = 1e4 * u.M_sun\n",
"# the radius aound the black hole follows from ??? # TODO\n",
"R_TOT = 1 * u.pc\n",
"\n",
"# Rescale the units of the particles - considering only the orbiting stars\n",
"M_particles = particles[:,3].sum() - 1\n",
"R_particles = np.max(np.linalg.norm(particles[:, :3], axis=1))\n",
"\n",
"logger.info(f\"Considering a globular cluster - total mass of stars: {M_particles}, maximum radius of particles: {R_particles}\")\n",
"m_scale = M_TOT / M_particles\n",
"r_scale = R_TOT / R_particles\n",
"utils.seed_scales(r_scale, m_scale)\n",
"logger.info(f\"Black hole mass: {utils.apply_units(particles[0, -1], \"mass\"):.2g}\")\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"tags": [
"plot_particle_distribution"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## Plot the particles with units applied\n",
"\n",
"positions = utils.apply_units(particles[:, :3], \"position\")\n",
"masses = utils.apply_units(particles[:, 3], \"mass\")\n",
"utils.particles_plot_3d(positions, masses, title=\"Particle distribution\")\n",
"\n",
"utils.particles_plot_2d(positions)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Force computations"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:59:51 - utils.particles - Found mean interparticle distance: 0.0262396757880128\n",
"19:59:51 - task2 (mesh) - Given softening length 0.037 does not match the mean interparticle distance 0.0262396757880128\n",
"19:59:51 - utils.forces_cache - Loaded forces from .cache/forces__n_body_forces__n_9913__kwargs_G_1__softening_0.00037__.npy\n",
"19:59:51 - utils.forces_cache - Loaded forces from .cache/forces__n_body_forces__n_9913__kwargs_G_1__softening_0.0037__.npy\n",
"19:59:51 - utils.forces_cache - Loaded forces from .cache/forces__n_body_forces__n_9913__kwargs_G_1__softening_0.037__.npy\n",
"19:59:51 - utils.forces_cache - Loaded forces from .cache/forces__n_body_forces__n_9913__kwargs_G_1__softening_0.37__.npy\n",
"19:59:51 - utils.forces_cache - Loaded forces from .cache/forces__n_body_forces__n_9913__kwargs_G_1__softening_3.6999999999999997__.npy\n",
"19:59:51 - utils.forces_cache - Timing mesh_forces for 9913 particles\n",
"19:59:52 - utils.forces_cache - Timing mesh_forces for 9913 particles\n",
"19:59:53 - utils.forces_cache - Timing mesh_forces for 9913 particles\n",
"19:59:54 - utils.forces_cache - Timing mesh_forces for 9913 particles\n",
"19:59:55 - utils.forces_cache - Timing mesh_forces for 9913 particles\n",
"19:59:56 - utils.forces_cache - Timing mesh_forces for 9913 particles\n",
"19:59:59 - utils.forces_cache - Timing mesh_forces for 9913 particles\n",
"20:00:02 - utils.forces_cache - Timing mesh_forces for 9913 particles\n",
"20:00:06 - utils.forces_cache - Timing mesh_forces for 9913 particles\n",
"20:00:14 - utils.forces_cache - Timing mesh_forces for 9913 particles\n"
]
}
],
"source": [
"### Direct N body force computation\n",
"epsilon = utils.mean_interparticle_distance(particles)\n",
"\n",
"if epsilon != SOFTENING:\n",
" logger.warning(f\"Given softening length {SOFTENING} does not match the mean interparticle distance {epsilon}\")\n",
" epsilon = SOFTENING\n",
"\n",
"epsilon_range = np.logspace(-2, 2, 5)\n",
"n_squared_forces = []\n",
"n_squared_times = []\n",
"\n",
"\n",
"for e in epsilon_range:\n",
" forces, times = utils.cached_forces(CACHE_ROOT, particles, utils.n_body_forces, {\"G\": G, \"softening\": e * epsilon})\n",
" n_squared_forces.append(forces)\n",
" n_squared_times.append(times)\n",
"\n",
"\n",
"### Mesh based force computation\n",
"mesh_size_range = [5, 10, 25, 50, 75 , 100, 125, 150, 175, 200]\n",
"mapping = utils.particle_mapping_nn\n",
"# mapping = utils.particle_mapping_cic\n",
"\n",
"mesh_forces = []\n",
"mesh_times = []\n",
"for mesh_size in mesh_size_range:\n",
" forces, times = utils.cached_forces(CACHE_ROOT, particles, utils.mesh_forces, {\"G\": G, \"n_grid\": mesh_size, \"mapping\": mapping})\n",
" mesh_forces.append(forces)\n",
" mesh_times.append(times)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"tags": [
"plot_force_radial"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## Compare the mesh computation with the direct summation\n",
"r = np.linalg.norm(particles[:,:3], axis=1)\n",
"r = utils.apply_units(r, \"position\")\n",
"\n",
"# many of the particles have the same distance from the origin, so we skip some of them\n",
"SKIP_N = 5\n",
"\n",
"plt.figure()\n",
"plt.title(f'Radial force dependence (showing every {SKIP_N}th particle)')\n",
"plt.xscale('log')\n",
"plt.yscale('log')\n",
"\n",
"plot_range = epsilon_range[1:-1]\n",
"plot_forces = n_squared_forces[1:-1]\n",
"\n",
"colors = plt.cm.Greys(np.linspace(0.5, 1, len(plot_range)))\n",
"for f, e, c in zip(plot_forces, plot_range, colors):\n",
" # remove the black hole:\n",
" plt.plot(r[1::SKIP_N], np.linalg.norm(f, axis=1)[1::SKIP_N], 'o', label=f\"$N^2 - {e:.1g} \\\\cdot \\\\epsilon$\", color=c)\n",
"\n",
"plot_range = mesh_size_range[2:-3]\n",
"plot_forces = mesh_forces[2:-3]\n",
"\n",
"colors = plt.cm.coolwarm(np.linspace(0, 1, len(plot_range)))\n",
"for f, s, c in zip(plot_forces, plot_range, colors):\n",
" # remove the black hole:\n",
" plt.plot(r[1::SKIP_N], np.linalg.norm(f, axis=1)[1::SKIP_N], '.', label=f\"Mesh - N={s}\", alpha=0.2, color=c)\n",
"\n",
"# take the final f and apply units\n",
"f = utils.apply_units(f, \"force\")\n",
"\n",
"# put the legend outside\n",
"plt.xlabel(f'$r$ [{r.unit:latex}]')\n",
"plt.ylabel(f'$|F(r)|$ [{f.unit:latex}]')\n",
"plt.legend(bbox_to_anchor=(1.05, 1), loc='upper left')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"tags": [
"plot_force_radial_single"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## Zoom in on a particularly clear case\n",
"plt.figure()\n",
"plt.xscale('log')\n",
"plt.yscale('log')\n",
"\n",
"ith = 2\n",
"f = n_squared_forces[ith]\n",
"f_val = np.linalg.norm(f, axis=1)\n",
"\n",
"plt.plot(r[1::SKIP_N], f_val[1::SKIP_N], 'o', label=f'$N^2 + {epsilon_range[ith]:.2g} \\\\cdot \\\\epsilon$', color=\"black\", zorder=10)\n",
"\n",
"ith = 4\n",
"f = mesh_forces[ith]\n",
"f_val = np.linalg.norm(f, axis=1)\n",
"\n",
"plt.plot(r[1::SKIP_N], f_val[1::SKIP_N], '.', label=f'Mesh [n={mesh_size_range[ith]}]', color=plt.cm.Blues(0.5))\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Discussion\n",
"- Using the baseline of $N^2 + 1 \\varepsilon$ softening we can see that already a 20 x 20 x 20 grid provides good accuracy but the mapping breaks down at small distances (dip)\n",
"- Larger grids are more stable, especially at small distances => 50 x 50 x 50 already seems to be a good choice\n",
"- very large grids show overdiscretization => noisy data even for the non-noisy particle distributions\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"tags": [
"plot_force_computation_time"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## Plot the time dependence\n",
"\n",
"fig, ax1 = plt.subplots()\n",
"fig.suptitle('Computation time (average of 10)')\n",
"\n",
"color = plt.cm.Greys(0.8)\n",
"ax1.set_xscale('log')\n",
"ax1.set_yscale('log')\n",
"ax1.set_ylabel('time (s)')\n",
"ax1.set_xlabel('Softening multiplier', color=color)\n",
"ax1.plot(epsilon_range, n_squared_times, color=color, label='N^2')\n",
"ax1.tick_params(axis='x', labelcolor=color)\n",
"\n",
"ax2 = ax1.twiny() # instantiate a second Axes that shares the same x-axis\n",
"\n",
"color = plt.cm.Blues(0.8)\n",
"ax2.set_xlabel('Mesh size', color=color)\n",
"ax2.set_xscale('log')\n",
"ax2.plot(mesh_size_range, mesh_times, color=color, label='Mesh')\n",
"ax2.tick_params(axis='x', labelcolor=color)\n",
"\n",
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
"fig.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Time integration"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"20:00:24 - task2 (mesh) - Considering 9913 particles\n",
"20:00:24 - task2 (mesh) - Total mass: 10.999999999999998\n"
]
}
],
"source": [
"# load the particles in the format [x, y, z, vx, vy, vz, mass]\n",
"p0 = points[:, [2, 3, 4, 5, 6, 7, 1]]\n",
"\n",
"logger.info(f\"Considering {p0.shape[0]} particles\")\n",
"logger.info(f\"Total mass: {np.sum(p0[:,6])}\")\n",
"\n",
"if logger.isEnabledFor(logging.DEBUG):\n",
" # assert that the ODE reshaping is consistent\n",
" p0_ref = p0.copy()\n",
" y0, _ = utils.ode_setup(p0, None)\n",
" logger.debug(y0[0:7])\n",
" p0_reconstructed = utils.to_particles(y0)\n",
" logger.debug(f\"{p0_ref[0]} -> {p0_reconstructed[0]}\")\n",
" logger.debug(f\"{p0_ref[1]} -> {p0_reconstructed[1]}\")\n",
"\n",
" assert np.allclose(p0_ref, p0_reconstructed)\n",
" logger.debug(\"Consistency check passed\")\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"tags": [
"function_time_integration"
]
},
"outputs": [],
"source": [
"def integrate(method: str, force_function: callable, p0: np.ndarray, t_range: np.ndarray) -> np.ndarray:\n",
" \"\"\"\n",
" Integrate the gravitational movement of the particles, using the specified method\n",
" - method: the integration method to use (\"scipy\" or \"rk4\")\n",
" - force_function: the function that computes the forces acting on the particles\n",
" - p0: the initial conditions of the particles (n, 7) array, unflattened\n",
" - t_range: the time range to integrate over\n",
" Returns: the integrated positions and velocities of the particles in a 'flattened' array (time_steps, nx7)\n",
" \"\"\"\n",
" y0, y_prime = utils.ode_setup(p0, force_function)\n",
" \n",
" if method == \"scipy\":\n",
" sol = spi.odeint(y_prime, y0, t_range, rtol=1e-2)\n",
" elif method == \"rk4\":\n",
" sol = np.zeros((t_range.shape[0], y0.shape[0]))\n",
" sol[0] = y0\n",
" dt = t_range[1] - t_range[0]\n",
" for i in range(1, t_range.shape[0]):\n",
" t = t_range[i]\n",
" sol[i,...] = utils.runge_kutta_4(sol[i-1], t, y_prime, dt)\n",
"\n",
" if i % 100 == 0:\n",
" logger.info(f\"Integration step {i} done\")\n",
"\n",
" logger.info(f\"Integration done, shape: {sol.shape}\")\n",
" return sol\n"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"tags": [
"integration_timestep"
]
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"20:00:24 - utils.particles - Found mean interparticle distance: 0.0262396757880128\n",
"20:00:24 - task2 (mesh) - Mean velocity: 0.001109653989710481, timestep: 0.0023646718735142814\n",
"20:00:24 - task2 (mesh) - Integration range: 0.0 -> 0.05438745309082847, n_steps: 24\n"
]
}
],
"source": [
"## Integration setup \n",
"\n",
"# Determine the integration timesteps\n",
"v = np.linalg.norm(particles[:, 3:6], axis=1)\n",
"v_mean = np.mean(v)\n",
"# a timestep should result in a small displacement, wrt. to the mean interparticle distance\n",
"r_inter = utils.mean_interparticle_distance(particles)\n",
"\n",
"dt = r_inter / v_mean * 1e-4\n",
"logger.info(f\"Mean velocity: {v_mean}, timestep: {dt}\")\n",
"if np.isnan(dt):\n",
" raise ValueError(\"Invalid timestep\")\n",
"\n",
"# Determine the integration range\n",
"t_orbit = 2 * np.pi * r_inter / v_mean\n",
"n_steps = int(t_orbit / dt * 5)\n",
"# in theory we should integrate for a few orbits, but we only do a few steps as a POC\n",
"n_steps = 24\n",
"t_range = np.arange(0, n_steps*dt, dt)\n",
"logger.info(f\"Integration range: {t_range[0]} -> {t_range[-1]}, n_steps: {n_steps}\")\n"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"20:00:24 - utils.particles - Found mean interparticle distance: 0.0262396757880128\n",
"20:00:24 - task2 (mesh) - Given softening length 0.037 does not match the mean interparticle distance 0.0262396757880128\n"
]
}
],
"source": [
"## The N^2 force function will depend on the softening length\n",
"epsilon = utils.mean_interparticle_distance(particles)\n",
"if epsilon != SOFTENING:\n",
" logger.warning(f\"Given softening length {SOFTENING} does not match the mean interparticle distance {epsilon}\")\n",
" epsilon = SOFTENING\n",
"\n",
"\n",
"## Integration - or loading from cache\n",
"n_epsilon = 1\n",
"# THIS VALUE CAN BE ADJUSTED\n",
"\n",
"f_path = CACHE_ROOT / f\"n_square_integration__{n_epsilon=}.npy\"\n",
"if f_path.exists():\n",
" sol = np.load(f_path)\n",
"else:\n",
" force_function = lambda x: utils.n_body_forces(x, G, n_epsilon * epsilon)\n",
" sol = integrate(\"rk4\", force_function, p0, t_range)\n",
" np.save(f_path, sol)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"tags": [
"plot_system_evolution"
]
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"20:00:24 - utils.integrate - Unflattened array into y.shape=(24, 9913, 7)\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 2000x1200 with 24 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"20:00:26 - matplotlib.animation - Animation.save using <class 'matplotlib.animation.FFMpegWriter'>\n",
"20:00:26 - matplotlib.animation - MovieWriter._run: running command: ffmpeg -f rawvideo -vcodec rawvideo -s 640x480 -pix_fmt rgba -framerate 5 -loglevel error -i pipe: -filter_complex 'split [a][b];[a] palettegen [p];[b][p] paletteuse' -y task2_nsquare_integration.gif\n"
]
}
],
"source": [
"### Show the evolution\n",
"particles_in_time = utils.to_particles_3d(sol)\n",
"\n",
"# First show the evolution of the particles in a series of 2D heatmaps:\n",
"utils.particles_plot_2d_multiframe(particles_in_time, t_range, f\"Particle evolution (top view) [{n_epsilon} $\\\\epsilon$]\")\n",
"\n",
"# Also save the evolution as gif\n",
"utils.particles_plot_2d_animated(particles_in_time, t_range, \"task2_nsquare_integration.gif\")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"tags": [
"plot_second_system_evolution"
]
},
"outputs": [
{
"ename": "FileNotFoundError",
"evalue": "[Errno 2] No such file or directory: '.cache/n_square_integration__n_epsilon=2.npy'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[0;32mIn[17], line 4\u001b[0m\n\u001b[1;32m 2\u001b[0m n_epsilon \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m2\u001b[39m\n\u001b[1;32m 3\u001b[0m f_path \u001b[38;5;241m=\u001b[39m CACHE_ROOT \u001b[38;5;241m/\u001b[39m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mn_square_integration__\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mn_epsilon\u001b[38;5;132;01m=}\u001b[39;00m\u001b[38;5;124m.npy\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m----> 4\u001b[0m sol \u001b[38;5;241m=\u001b[39m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mload\u001b[49m\u001b[43m(\u001b[49m\u001b[43mf_path\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 5\u001b[0m particles_in_time \u001b[38;5;241m=\u001b[39m utils\u001b[38;5;241m.\u001b[39mto_particles_3d(sol)\n\u001b[1;32m 6\u001b[0m utils\u001b[38;5;241m.\u001b[39mparticles_plot_2d_multiframe(particles_in_time, t_range, \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mParticle evolution (top view) [\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mn_epsilon\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m $\u001b[39m\u001b[38;5;130;01m\\\\\u001b[39;00m\u001b[38;5;124mepsilon$]\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n",
"File \u001b[0;32m~/.local/share/virtualenvs/projects-X-9bmgL6/lib/python3.13/site-packages/numpy/lib/_npyio_impl.py:451\u001b[0m, in \u001b[0;36mload\u001b[0;34m(file, mmap_mode, allow_pickle, fix_imports, encoding, max_header_size)\u001b[0m\n\u001b[1;32m 449\u001b[0m own_fid \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mFalse\u001b[39;00m\n\u001b[1;32m 450\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m--> 451\u001b[0m fid \u001b[38;5;241m=\u001b[39m stack\u001b[38;5;241m.\u001b[39menter_context(\u001b[38;5;28;43mopen\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mos\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfspath\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfile\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mrb\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 452\u001b[0m own_fid \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mTrue\u001b[39;00m\n\u001b[1;32m 454\u001b[0m \u001b[38;5;66;03m# Code to distinguish from NumPy binary files and pickles.\u001b[39;00m\n",
"\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: '.cache/n_square_integration__n_epsilon=2.npy'"
]
}
],
"source": [
"## Other results for reference\n",
"n_epsilon = 2\n",
"f_path = CACHE_ROOT / f\"n_square_integration__{n_epsilon=}.npy\"\n",
"sol_2 = np.load(f_path)\n",
"particles_in_time_2 = utils.to_particles_3d(sol_2)\n",
"utils.particles_plot_2d_multiframe(particles_in_time_2, t_range, f\"Particle evolution (top view) [{n_epsilon} $\\\\epsilon$]\")\n",
"\n",
"n_epsilon = 0.5\n",
"f_path = CACHE_ROOT / f\"n_square_integration__{n_epsilon=}.npy\"\n",
"sol_05 = np.load(f_path)\n",
"particles_in_time_05 = utils.to_particles_3d(sol)\n",
"utils.particles_plot_2d_multiframe(particles_in_time_05, t_range, f\"Particle evolution (top view) [{n_epsilon} $\\\\epsilon$]\")"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"tags": [
"plot_integration_stability"
]
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"(24, 9913, 7)\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"'\\n# radial extrema of the particles - disk surface\\nr_mins = np.zeros(n_steps)\\nr_maxs = np.zeros(n_steps)\\nr_hms = np.zeros(n_steps)\\nfor i in range(particles_in_time.shape[0]):\\n p = particles_in_time[i, ...]\\n # exclude the black hole\\n r = np.linalg.norm(p[1:,:3], axis=1)\\n # plt.plot(r[1::100], alpha=0.5)\\n r_mins[i] = np.min(r)\\n r_maxs[i] = np.max(r)\\n r_hms[i] = utils.half_mass_radius(p)\\n\\nr_mins = utils.apply_units(r_mins, \"position\")\\nr_maxs = utils.apply_units(r_maxs, \"position\")\\n\\nplt.figure()\\nplt.plot(t_range, r_mins, label=\\'$r_{min}$\\', color=plt.cm.Blues(0.5))\\nplt.plot(t_range, r_maxs, label=\\'$r_{max}$\\', color=plt.cm.Blues(0.8))\\nplt.fill_between(t_range, r_mins, r_maxs, color=plt.cm.Blues(0.2))\\nplt.plot(t_range, r_hms, label=\\'$r_{hm}$\\', color=plt.cm.Greens(0.5))\\n\\n# show the initial conditions\\nplt.hlines(r_mins[0], t_range[0], t_range[-1], color=\\'black\\', linestyle=\\'--\\')\\nplt.hlines(r_maxs[0], t_range[0], t_range[-1], color=\\'black\\', linestyle=\\'--\\')\\n\\n\\nplt.title(f\\'Radial extrema over {n_steps} timesteps\\')\\nplt.xlabel(\\'Integration time\\')\\nplt.ylabel(f\\'{r_mins.unit:latex}\\')\\nplt.legend()\\nplt.show()\\n\\n\\n\\n# particle orbits\\nfig, axs = plt.subplots(2, 1)\\naxs[0].set_position([0, 0.3, 1, 0.6])\\naxs[0].set_xlabel(\\'x\\')\\naxs[0].set_ylabel(\\'y\\')\\n\\naxs[1].set_position([0, 0, 1, 0.2])\\naxs[1].set_xlabel(\"t\")\\naxs[1].set_ylabel(\\'z\\')\\nfig.suptitle(\\'Particle orbits\\')\\n\\nmid = particles_in_time.shape[0] // 2\\nparticle_idx = [1, 2, 3, 4, 5, mid-2, mid-1, mid, mid+1, mid+2, -5, -4, -3, -2, -1]\\ncolors = plt.cm.Blues(np.linspace(0.2, 0.8, len(particle_idx)))\\nfor i in particle_idx:\\n x = particles_in_time[:, i, 0]\\n y = particles_in_time[:, i, 1]\\n z = particles_in_time[:, i, 2]\\n axs[0].plot(x, y, label=f\\'p{i}\\', color=colors[i])\\n axs[1].plot(z, label=f\\'p{i}\\', color=colors[i])\\n\\n# plt.legend()\\nplt.show()\\n'"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#### Plot some key quantities of the system as a whole\n",
"utils.particles_plot_radial_evolution(particles_in_time, t_range)\n",
"utils.particles_plot_orbits(particles_in_time, t_range)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Full PM solver\n",
"We now have all the tools to implement the full PM solver:\n",
"- force computation using mesh\n",
"- integrator with RK4\n",
"- estimate for good timesteps"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:27:14 - utils.particles - Found mean interparticle distance: 0.0262396757880128\n",
"19:27:14 - task2 (mesh) - Integration range: 0.0 -> 4.452677137827392, n_steps: 1884\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:28:27 - task2 (mesh) - Integration step 100 done\n",
"19:29:56 - task2 (mesh) - Integration step 200 done\n",
"19:31:49 - task2 (mesh) - Integration step 300 done\n",
"19:33:45 - task2 (mesh) - Integration step 400 done\n",
"19:35:37 - task2 (mesh) - Integration step 500 done\n",
"19:37:22 - task2 (mesh) - Integration step 600 done\n",
"19:39:18 - task2 (mesh) - Integration step 700 done\n",
"19:41:06 - task2 (mesh) - Integration step 800 done\n",
"19:42:37 - task2 (mesh) - Integration step 900 done\n",
"19:43:45 - task2 (mesh) - Integration step 1000 done\n",
"19:44:51 - task2 (mesh) - Integration step 1100 done\n",
"19:45:58 - task2 (mesh) - Integration step 1200 done\n",
"19:47:05 - task2 (mesh) - Integration step 1300 done\n",
"19:48:17 - task2 (mesh) - Integration step 1400 done\n",
"19:49:25 - task2 (mesh) - Integration step 1500 done\n",
"19:50:35 - task2 (mesh) - Integration step 1600 done\n",
"19:51:46 - task2 (mesh) - Integration step 1700 done\n",
"19:53:05 - task2 (mesh) - Integration step 1800 done\n",
"19:54:38 - task2 (mesh) - Integration done, shape: (1884, 69391)\n"
]
}
],
"source": [
"## Integration setup \n",
"mesh_size = 95 # as per the previous discussion\n",
"\n",
"# Determine the integration timesteps\n",
"v = np.linalg.norm(particles[:, 3:6], axis=1)\n",
"v_mean = np.mean(v)\n",
"# a timestep should result in a small displacement, wrt. to the mean interparticle distance\n",
"r_inter = utils.mean_interparticle_distance(particles)\n",
"dt = r_inter / v_mean * 1e-5\n",
"\n",
"# Determine the integration range\n",
"t_orbit = 2 * np.pi * r_inter / v_mean\n",
"n_steps = int(t_orbit / dt * 0.03)\n",
"n_steps = 1000\n",
"# integrate for one orbit - or at least part of it\n",
"t_range = np.arange(0, n_steps*dt, dt)\n",
"logger.info(f\"Integration range: {t_range[0]} -> {t_range[-1]}, n_steps: {t_range.size}\")\n",
"\n",
"force_function = lambda x: utils.mesh_forces(x, G, mesh_size, utils.particle_mapping_nn)\n",
"\n",
"sol = integrate(\"rk4\", force_function, p0, t_range)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"tags": [
"plot_pm_solver_integration"
]
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"19:56:06 - utils.integrate - Unflattened array into y.shape=(1884, 9913, 7)\n"
]
},
{
"data": {
"image/png": 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f1q1bh5deegn79u0LnF+U5TMyMnDOOefgiSeeQE1NDe6444649d1yyy1YuXIljj32WHznO99Beno6HnjgATQ0NOD2228PnMsFF1yAH/zgBzj77LPxf//3f6itrcX999+Pgw46yNPQ3u81lS8n2ms+UYwfPx6HHXYYXnrpJVx66aWex/zmm8zcNm3ahDPPPBOzZ8/G6tWr8eijj+JrX/saJk+eHDi/MD87kyjvj+OOOw633nortm3b5vly5Pjjj8cDDzyAsWPHYuTIkXHbWLt2Lfbt24ezzjor1JxMvve97+FPf/oTzjjjDOzbtw+PPvqo5/GLLrrId9mDDz4YGRkZ+MY3voHLL78cI0aMwJ49e/D666/jpz/9acLXloiIiIio01hERERERB1g+fLlFgDrP//5T+C48vJy65JLLrGKi4utvLw8a9asWdb69eutMWPGWHPnznXGXX/99RYAa8+ePcb13HzzzdaIESOs1NRUC4C1adMmZw6bNm3yjN2yZYt18cUXW4MGDbKysrKs8ePHW1dccYXV0NDgmbu63K5du6wrrrjCGjVqlJWRkWENHTrUOvnkk60HH3ww1OsRZfmVK1daAKyUlBRr27ZtxvWtW7fOmjVrlpWXl2fl5uZaJ510krVq1SrPGL/n/+KLL1qHHXaYlZmZaU2cONF69NFHndc30Wvqt94w87Es/5+j31x1d911l5WXl2fV1tbGPeY336hz+/DDD61zzz3Xys/Pt4qKiqwFCxZYdXV1gfMSiX52fs8z7PujqqrKSktLs/Lz863m5mbn/kcffdQCYH3jG98wzusHP/iBNXr0aKu1tTXhc5g7d641ZsyYuPtPOOEEC4Dvf4n86U9/so455hgrNzfXysrKsiZMmGB9/etfN762ifZ3IiIiIqKOkmJZAZ0WiYiIiIiIupHKykqMHz8et99+e7v3xrjhhhtw4403Ys+ePSguLm7XdXelhoYGjB07Ftdeey2uuuqqhOPnzZuHV155BevWrUN6eroxfdVR6uvrUV1djdtvvx1LlizpdT8LIiIiIur+2NOEiIiIiIh6jMLCQlxzzTVYsmQJWltbu3o6PcLy5cuRkZGBb33rW6GX2bZtGwYNGoRjjz22A2cWb9myZRg0aBCWLFnSqdslIiIiIhJMmhAREREREaH3Jk2i+vDDD7Fjxw4AQF5eHo455phO2/a2bduwYcMG5/YJJ5yAjIyMTts+EREREREbwRMREREREZFj0qRJmDRpUpdse9SoURg1alSXbJuIiIiICGDShIiIiIiIiIiIiIiICAB7mhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJERERERERERERERERAH5pQkREREREREREREREBIBfmhAREREREREREREREQHglyZEREREREREREREREQA+KUJdZBVq1bhhhtuQEVFRbut809/+hOOPPJIZGdnY/To0bj++uvR3NzcbusnouR1t33+1ltvxZlnnokhQ4YgJSUFN9xwg+/Yl156CSeddBKKi4vRv39/TJ8+Hb/97W/b6VkQEdC9jhE7duzARRddhIkTJyI/P9/Z7x9++GFYluUZO3bsWKSkpBj/O/DAA9vtuRBR9zpObN682Xfff+KJJ+LGt7a24v7778eUKVOQk5ODgQMH4otf/CLefffddnsuRNS9jhM33HCD73EiJSUF//znP43LNTU1YdKkSUhJScEdd9zRbs+DiLrXMQIANm7ciHPPPRdFRUXIzc3Fsccei3/84x9x4371q1/hhBNOwJAhQ5CVlYVx48bhkksuwebNm9vteVB06V09AeqdVq1ahRtvvBHz5s1D//7927y+v/3tb5gzZw5OPPFELF26FP/9739xyy23YPfu3bj//vvbPmEiapPuts9fd911GDp0KI444gj8/e9/9x33pz/9CXPmzEFJSYnzi8/vf/97XHzxxSgrK8N3v/vdNj8XIupex4iysjJ8/vnnOPfcczF69Gg0NTVh5cqVmDdvHjZs2ICf/vSnzth77rkH1dXVnuW3bNmC6667DqecckqbnwcRubrTcUJceOGFOO200zz3lZSUxI279NJL8dhjj+Hiiy/GggULUFNTg7fffhu7d+9u8/MgIld3Ok6cc845OOCAA+Lu/+EPf4jq6mocddRRxuWWLl2KrVu3tnnuRBSvOx0jtm3bhpKSEqSlpeH73/8++vXrh+XLl+OUU07Byy+/jOOPP94Z+/bbb2PcuHE488wzUVRUhE2bNuFXv/oV/vKXv+Ddd9/F8OHD2/xcKAkWUQdYsmSJBcDatGlTu6xv0qRJ1uTJk62mpibnvh/96EdWSkqK9dFHH7XLNogoed1tn5d57NmzxwJgXX/99cZxX/rSl6zhw4db9fX1zn1NTU3WhAkTrMMPP7xNz4GIXN3tGGHy5S9/2erXr5/V3NwcOO7mm2+2AFj//Oc/k9oOEZl1p+PEpk2bLADWkiVLEm7nySeftABYTz/9dJvnTETButNxwmTr1q1WSkqKNX/+fOPju3btsgoLC62bbrop9DGGiMLrTseI73znO1Z6erq1fv16576amhpr1KhR1pFHHplw22vWrLEAWIsXL07+CVCb8PJc1O5uuOEGfP/73wcAjBs3zomnJhsr+/DDD/Hhhx/i8ssvR3q6G476zne+A8uy8NRTT7XHtIkoSd1xnx87dmyobVVVVaGoqAhZWVnOfenp6SguLkZOTk7kuRNRvO54jDAZO3Ysamtr0djYGDju8ccfx7hx4zBjxoyktkNE8brzcaKmpibwuHDXXXdh+vTpOPvss9Ha2oqampqk5kxEwbrzcUL87ne/g2VZ+PrXv258/Nprr8XEiRNx0UUXJTVnIvLX3Y4Rb7zxBo444ghMnDjRuS83Nxdnnnkm1q1bh08++SRwefmbRnteaoyi4eW5qN2dc845+Pjjj/G73/0Od999N4qLiwEAgwYNQmVlJZqamhKuIzs7G3l5eQDsmBoATJs2zTNm+PDhGDlypPM4EXWNnrzPn3jiibjtttvw4x//GHPnzkVKSgoef/xxrFmzBr///e/bbTtEfVl3PUbU1dWhpqYG1dXVeO2117B8+XKUlJQEfmH69ttv46OPPsKPfvSjUNsgonC663HixhtvxPe//32kpKRg6tSpuPXWWz2X5quqqsJbb72F73znO/jhD3+IpUuXorq6GuPGjcPPfvYzfPWrXw21HSJKrLseJ1SPPfYYRo0a5bnsjnjrrbfw8MMP480330RKSkrkdRNRsO52jGhoaEBRUVHc/bm5uQCAtWvXxvVI3Lt3L1paWrB161bcdNNNAICTTz454bypY/BLE2p3hx9+OI488kj87ne/w5w5czwV3yeeeCJee+21hOuYO3cuVqxYAQDYuXMnAGDYsGFx44YNG4YdO3a0y7yJKDk9eZ//8Y9/jE2bNuHWW2/FLbfcAsA+ifnjH/+Is846q922Q9SXdddjxL333otFixY5t08++WQsX748cJnHHnsMAHwrSIkoOd3tOJGamopTTjkFZ599NkaMGIHPPvsMd911F0499VT86U9/wumnnw4A+PTTT2FZFp544gmkp6fj9ttvR2FhIe69915ccMEFKCgowOzZs0O+CkQUpLsdJ3QffPAB3nvvPVxzzTVxX4pYloUrr7wS559/PkpKStjcmagDdLdjxMSJE/HGG29g//79yM/Pd+5/8803AQDbt2+PW2bEiBFoaGgAAAwcOBA///nP8aUvfSnhvKlj8EsT6lR33nknysvLE45TmxzV1dUBgOfyOSI7OxtVVVXtN0EialfdfZ/PysrCQQcdhHPPPRfnnHMOWlpa8OCDD+Kiiy7CypUrccwxx7TbtogoXlceIy688EJMmzYNe/bswV/+8hfs2rXLWbdJa2srnnjiCRxxxBE45JBDQm2DiNquK44To0ePxt///nfPfd/4xjcwadIkfO9733O+NKmurgZgV4b+61//wtFHHw0AOPPMMzFu3Djccsst/NKEqBN0h985ggorVqxYgf/+97+8tDhRF+mKY8S3v/1t/PnPf8b555+PW2+9Ff369cMvf/lLrFmzxrN+1d/+9jfU19fjo48+wqOPPspLfnYxfmlCnWrq1KmRl5HLZMi3rar6+nr2HSDqxrr7Pr9gwQL861//wrp165Caarf5+upXv4pDDz0UV111Ff7973+327aIKF5XHiPGjBmDMWPGALC/QLn88ssxc+ZMbNiwwbiO1157Ddu3b8d3v/vdyHMmouR1l3OJAQMG4JJLLsHPfvYzfP755xg5cqSznnHjxjlfmABAXl4ezjjjDDz66KNobm72XAudiNpfVx8nLMvC448/jsMOOwyHH36457GqqiosWrQI3//+9zFq1KjI8ySituuKY8Spp56KpUuX4tprr8WRRx4JADjggANw66234pprrnEuA6Y66aSTnGXPOussHHbYYcjLy8OCBQsiz5/ajmdv1Kn27duXsMEqYB+cCgsLAbhRuJ07d8adZOzcuRPTp09v/4kSUbvozvt8Y2MjfvOb3+Caa65xvjABgIyMDJx66qn4xS9+gcbGRmRmZrbL9ogoXnc6Rpx77rn41a9+hddffx2zZs2Ke/yxxx5DamoqLrzwwqTWT0TJ6U7HCVnXvn37MHLkSKcidciQIXFjBw8ejKamJtTU1DjzIqKO0dXHiX/+85/YsmULFi9eHPfYHXfcgcbGRpx//vnOZbk+//xzAEB5eTk2b96M4cOH83cOog7UVceIBQsW4JJLLsF7772HzMxMTJkyBb/5zW8AAAcddFDgshMmTMARRxyBxx57jF+adJHUxEOIovNrbHbOOedg2LBhCf+76qqrnGWmTJkCAE6ETezYsQOff/658zgRdZ2euM/v3bsXzc3NaGlpiXusqakJra2txseIKLqecIyQiHxlZWXcYw0NDfjjH/+IE0880RPbJ6L20xOOE5999hkAu6ksYF/GY+jQocbrku/YsQPZ2dme65gTUdt01+PEY489hpSUFHzta1+Le2zr1q0oLy/HoYceinHjxmHcuHE47rjjAAA//elPMW7cOHz44Yeht0VE/rrjMaJfv34oKSnB1KlTkZaWhpdeegk5OTn4whe+kHDZuro64+8m1DmYNKEO0a9fPwBARUWF5/5kriN46KGH4uCDD8aDDz6I//3f/0VaWhoA4P7770dKSgrOPffc9ps4ESWlq/b5yspK7Ny5E8OGDYtcxTl48GD0798fzzzzDG666Sanuqu6uhp//vOfcfDBB/Pyf0TtpDsdI/bs2eP8wVP1m9/8BikpKU58XvXXv/4VFRUVbABP1IG6+3Fi+/bteOihh3D44Yd7msKef/75uPfee7Fy5UqnWWtZWRmee+45fPGLX/SkWYmobbrTcUI0NTXhD3/4A4499liMHj06bpv/93//hzlz5nju2717N/73f/8X8+bNw1lnnYVx48YlnDsRJdYdjxGqVatW4emnn8a3v/1tZ1xzczP279+PoqIiz9i33noL//3vf41fxlInsYg6wFtvvWUBsE477TTrkUcesX73u99Z1dXVSa/vz3/+s5WSkmJ98YtftB588EHr//7v/6zU1FRr/vz57ThrIkpWV+3zy5cvtwBYy5cv99z/yCOPWDfffLO1aNEiC4B10kknWTfffLN18803W5s3b3bG3XLLLRYA64gjjrDuvvtu64477rAOOeQQC4D16KOPJj1/IvLqTseIq666ypo2bZp13XXXWQ8++KD1s5/9zDrqqKMsANaVV15p3N5XvvIVKysry6qoqEh6zkQUrDsdJ+bNm2cdd9xx1g033GA9+OCD1g9/+ENr4MCBVmZmpvWPf/zDs3xpaak1bNgwKz8/37r++uutu+66yzrooIOsnJwc65133kl6/kQUrzsdJ9R1ALCWLVsWerubNm2yAFhLlixJeu5EFK87HSM2b95sTZ8+3brlllusX//619Z3v/tdKycnxzriiCOsqqoqZ1x5ebnVr18/69JLL7XuvPNOa9myZdYVV1xh5ebmWgMGDLA+/vjjpOdPbcMvTajD3HzzzdaIESOs1NRUC4C1adOmNq3vmWeesaZMmWJlZWVZI0eOtK677jqrsbGxfSZLRG3WFfu83y8wJ5xwggXA+J/+x47HHnvMmj59utW/f38rJyfHOvroo62nnnqqTXMnonjd5Rjx4osvWl/+8pet4cOHWxkZGVZ+fr71hS98wVq+fLnV2toat53KykorOzvbOuecc9o0XyJKrLscJx5//HHr+OOPtwYNGmSlp6dbxcXF1tlnn22tXbvWuJ1PP/3UOvvss62CggIrJyfH+uIXv2i99dZbbZo7EZl1l+OEuOCCC6yMjAxr7969obfJL02IOk53OUbs27fPOuuss6yhQ4damZmZ1rhx46wf/OAHni9MLMuyGhoarKuuuso6/PDDrYKCAisjI8MaM2aMddlll7V57tQ2KZZlWR0cZiEiIiIiIiIiIiIiIur2eIFVIiIiIiIiIiIiIiIi8EsTIiIiIiIiIiIiIiIiAPzShIiIiIiIiIiIiIiICAC/NCEiIiIiIiIiIiIiIgLAL02IiIiIiIiIiIiIiIgAAOldPYH21traih07diA/Px8pKSldPR2iPsGyLOzfvx/Dhw9Hamr3/y6WxwmiztXTjhEAjxNEna2nHSd4jCDqfDxOEFEiPE4QUZAox4he96XJjh07MGrUqK6eBlGftG3bNowcObKrp5EQjxNEXaOnHCMAHieIukpPOU7wGEHUdXicIKJEeJwgoiBhjhG97kuT/Px8AMDUk/+A9PTcLp5N35FfXAQA2F9WHnefkMfU+/X7/G6HHRNmXtT+mptrsfbl85z9r7vjcQJITU8DALQ2tzj3pWdlAgCaGxqNY+S26b6gMX7bVvmNpd6hpx0jAB4n2lNKrILHam0NvK3eR31PTztO8BhB1Pl4nCCiRHicIApP/72sL4hyjOh1X5pInC09PRfpGf26eDa9Q8GgAc7/V+3Z57lPbtdV2n9kVV9zuU/IY+r9cl9GZl7sdmPC9enrkdumecqYAcNHee6njpFMnPT111/HkiVLsHbtWuzcuRPPPPMM5syZE7jMq6++ioULF+KDDz7AqFGjcN1112HevHmR59nbjhOmL0ISPZaaodyIfU6mZ2T4j4nJ6Z8DAGiKfcHSmhK/zcw875cwQXORbfh9CcMvVXqHnhQ5763HiY6WEuIyCM6XJRnxJ+mm+6hv6SnHCR4jiLoOjxNElAiPE0QRxNe19nphjhHd/wJ/RNSr1dTUYPLkybjvvvtCjd+0aRNOP/10nHTSSXjnnXdw9dVX45vf/Cb+/ve/d/BMiYiIiIiIiIiIqLfrdUkTSp6a1ADcVIYpnaHfpydPTPeFGdOW9QWNNT2HMPOjjnfqqafi1FNPDT1+2bJlGDduHO68804AwCGHHII333wTd999N2bNmtVR0+wRolwiS4S55JZJQ01dwvXpCZMw89S3GZSaCRpDRJ1Dj3TLv3K5P5UcE4Ji4HJfWizx1tLU5FnGbzkiIqL2tnjxYjz99NNYv349cnJyMGPGDNx2222YOHFiV0+NiIiIOhiTJkTUo6xevRozZ8703Ddr1iysXr3ad5mGhgZUVVV5/iMiIiIiIvLz2muv4YorrsC//vUvrFy5Ek1NTTjllFNQU1PT1VMjIiKiDsakSR/hl6pQ70smYRGUzgizvjCpEb/1+aVTgh4LmlOY9TGN0vVKS0sxZMgQz31DhgxBVVUV6urqkJOTE7fM4sWLceONN3bWFLucKXkR18skIE3Sln4ibR0bJkViSqr4rYcpFKKOZWrmDgAtTc1xY/xum0jCxLSMpFBSUu3r0IZJsBAREUX1wgsveG6vWLECgwcPxtq1a3H88cd30ayIiIioMzBpQkS93qJFi1BZWen8t23btq6eEhERERER9SCVlZUAgAEDBhgfZ7qdiIio92DSpI8ISmn49TJp7x4kYfqKhFlfmHnqgpIrUXqbMHHS9YYOHYpdu3Z57tu1axcKCgqMKRMAyMrKQlZWVmdMr0tESVVEGeuXTjE9Jv0L/PqYBM3FtL6g+SXzfHVMoBC1D0l9tLbY+1SUlIfetyTsY/p9esqFiIiovbW2tuLqq6/GF77wBRx22GHGMX0t3U5dK0rClmlcor6HPSHbjr9lElGPUlJSgpdfftlz38qVK1FSUtJFMyIiIiIiot7siiuuwPvvv48nnnjCdwzT7URERL0Hkya9iJ7EAMIlOPzSElF6koR5LMz8dEF9RYLWEdTDRV8uUa8U0/ra47mRrbq6Ghs3bnRub9q0Ce+88w4GDBiA0aNHY9GiRdi+fTseeeQRAMC3vvUt/OIXv8A111yDSy+9FK+88gp+//vf4/nnn++qp9Dl2jthksyypoRJVj87+dMUeyyZdIs+h7CirIf9T7q3119/HUuWLMHatWuxc+dOPPPMM5gzZ07gMq+++ioWLlyIDz74AKNGjcJ1112HefPmdcp8+wqpXJKESTIkMWKqggqzXr1q0pQ4kftS09I82+zJ2lItmkxVamdsi4h6pr5yDrVgwQL85S9/weuvv46RI0f6juvt6XbqXqJ8vvKzmKjv4X7fdkyaEFGXWrNmDY444ggcccQRAICFCxfiiCOOwE9+8hMAwM6dO7F161Zn/Lhx4/D8889j5cqVmDx5Mu688078+te/xqxZs7pk/kTUsWpqajB58mTcd999ocZv2rQJp59+Ok466SS88847uPrqq/HNb34Tf//73zt4pkRERNSbWJaFBQsW4JlnnsErr7yCcePGdfWUiKgbWbx4MY466ijk5+dj8ODBmDNnDjZs2NDV0yKidsKkSQ/ml35QUw/J9BUJk+TQlzWNDbPtZMZGSXmE6T0SpqdJosQOUyXJO/HEE2FZlu/jK1asMC7z9ttvd+Csega9us9U7ZeoAtDUV0Tuk8rsoD4lQetvqKnz3VbUeZruD1rG77GgSsgwfVn6SkVld3Lqqafi1FNPDT1+2bJlGDduHO68804AwCGHHII333wTd999N79cbUd6uiOZSqagviVh1q/fFzSmJfav3oMlLcM9FW5pak64vkRk/fb6oqdawryeMmer1fJsJygZIsc3d27NvmNlPabXxi+xo247Sqon6D1ARO2vvRJgsp6UFNn3e+d50RVXXIHHH38czz33HPLz81FaWgoAKCws9O2lSNSeOiq1yd9p2sdrr72GK664AkcddRSam5vxwx/+EKeccgo+/PBD9OvXr6unR0RtxC9NiIiIqNdYvXo1Zs6c6blv1qxZuPrqqwOXa2hoQENDg3O7qqqqI6ZHREREPcT9998PwC7YUi1fvpyX/SQivPDCC57bK1aswODBg7F27Vocf/zxXTQrImov/NKkhzD19vBLRkRJVZjGh+kDEvZ+07bDLBcmPZLoftP6o6RSgvqpBKVSkhlDlIwwKYpECRNT2kPoiQtTP5Ao1UlBY/XHgnqYyNgw6wtTReW3PtOyUdZLXaO0tBRDhgzx3DdkyBBUVVWhrq7OtzJ08eLFuPHGGztjir2KXyLElDwQkvKQf4MSEkGVlXoiQk9emMhjbsLBTVxk5drvjYbauvgFfeT2LwAA1FZE/5LN1IPFL/WhkjlHu5a5pd12l/WrYlU/A2SM/tpKgkV9HZkaIep+wlSr+x3HTcukpKZ4/u2tgtLwRO0lKKUadF7gtz+briSg6+0psa5SWVkJABgwIP7vToKFWn1Xor8htLWfILU/9jQhIiKiPm/RokWorKx0/tu2bVtXT4mIiIiIiHqA1tZWXH311fjCF76Aww47zHfc4sWLUVhY6Pw3atSoTpwlEUXBpEk3FZQeSZQsiZKQUIXpA5LMtv3WHyRKT5Og+6P0Zwnz/DtzDJGqvZINYRIcYR4PWk97iPI8g14buS+rn11B3hSrnA5af5heKWHGUtcYOnQodu3a5blv165dKCgoCLz+eFZWFrKysjp6er1OmOplv+RBW6/T7fQriaUc1B4ciZjmJMeHMPORY0pdVTUAIDvPvm51fXVN3Fi9j4qs35T20MeqLL0vi3Z/mJ9BULolSiW6u97EqZeg9TKVQtR2ci4iiTLTvhaUyHP6kzipkRDHgliVelAfOCIKJvue6TNf6L2/1PSufh7g3B/i95Iw/dAomiuuuALvv/8+3nzzzcBxixYtwsKFC53bVVVV/OKkj0iUMIm6DyZajvt32/FLEyIiIuo1SkpK8Ne//tVz38qVK1FSUtJFMyIiIiIiot5qwYIF+Mtf/oLXX38dI0eODBzLQi2inoNfmnQzfsmDoARHomVNoiQbwmw7zHySSV4EpWaC7vfr+2Kan98yYcb6PZ5oTJj+M0RA25MMfstHSVpEmYPpGrp6OiPKevzWAbiVVlLlGHT93jAJE79lk+3lkszzpnjV1dXYuHGjc3vTpk145513MGDAAIwePRqLFi3C9u3b8cgjjwAAvvWtb+EXv/gFrrnmGlx66aV45ZVX8Pvf/x7PP/98Vz2FXs3vWtthqpnM18lPNY4J0/ckmYpndb1hUg9ODw9tfzb1QdH7gLjV3ImTF6Yx6jXPAfcY2BLwOkp1eVurwWVbelomjKDrsbfX/Ij6ojDnZzJG9jFT2swZK/s5ZD/33zZTYkRtJ+ku0z6sp1Dk/ENNpcjyQfuqH1kfP3/bxrIsXHnllXjmmWfw6quvYty4cV09JepB2it177c+te9YMscJ4pcmRERE1I2tWbMGJ510knNb4uxz587FihUrsHPnTmzdutV5fNy4cXj++efx3e9+F/feey9GjhyJX//615g1a1anz52IiIiIiHqnK664Ao8//jiee+455Ofno7S0FABQWFgYeFlgIuoZ+KVJN5EolZFMfxHTGP3+oG2Gma++jjBziJLKMPVy8VsmTN+XKImdoG0FzdNP0PzCJGyob5LKI1M1kF+SwZjKaENiJahXiN9cTNuU286/afHL6NVOUeYdNEZ/LKcgz/l/6UmgM21bfw6mbUap3GJPlMROPPFEWJbl+/iKFSuMy7z99tsdOCsSfsmQZOnJku5WCek3D70niUpPgpheI7/0jGl9znq1Sm9TBbk+36B0T9DPLlHCRJ1norHqsT89tlx3+flS99XWasyeztyPyP+zUacfS9X1Oam1WI8itTKViNqfkyKJnf+b0rT6eYB8XtYrn5dBybFE+LnbPu6//34A9u8equXLl2PevHmdPyHqEfR9N8o5jul44bd8lPMEMuOXJkREREREREREREQhBRV2EVHPxy9NuoApnRAl7ZEouRG0XtMYU7Ii7Fz8lvHbVthtB/U9ibLNKGmcRNsJGhuUDImSXAl6PJmfB/UeQX079PSDyi/BEDQ2zDJ+PVLCjEk0t0SPtaXnivBLlySaQ6h+Jy3mMVHWx+QJ9TR6RWR7Xe8+LV0qoP17mgRp7+r0+GsFe2+rW5F+HSLKaxRUPRrmtW1Lz5Ewc9DHqHPSe7fo21HH6sdLIj+ShkiNJSYA973UFz4z1fSH/nz1fU1Nc1mxi5jLsbS1Jf68JTPHbkhcX11rXD8RtQ/381H2Z/22e5+eDpP+jKZkJxH1LFHOvZPtExl2WQqWfJ6PiIiIiIioB3r99ddxxhlnYPjw4UhJScGzzz7b1VMiIiIiIqJugkmTThSmb0WY3h66MP1KovQT8Zt30PqCepBE6dcRZp5h0h6Jeob4bUOVbO8Vv+XD/AyD1seESd/i16/E1F8jmcSFaYzfNqPMN5llTKKkUMKkUoLG6j1W9FRPmLlESdiEmR8TJ9RTSbVkulIN3pbrZjfU1LV5TmGF6Z+S6NrBuf3znf+vrdhvXEeYylBTckUnczD1h9L7qATxvw5y+Mo20/WVw1CXb8u12ZNRU1ODyZMn49JLL8U555zTqdum6GS/UfefvlBBaTpXik+8pfguk5pq/7rfIucXseOFur9JwqQvvJ5EnUXdx2QfTUmx7+sXO1foV2j3WCwv3euMlURJU109ADdZIsc+dX/nPkvUO0RJmITZ79s7+d+X8UsTIiIiIiLqU0499VSceuqpXT0NIiIiIiLqhvilSScK6u2hi5LOCJNoSCYREZT68Jtf1N4eiR4LSoZE6QNjWkeU5EYyPVKi9EYJmlOY1Az1PsmkRdqauEjUX8OUctGXDUpc6FXcUfqWBK0niF/fF3W9+vPrqJRHlJ4zQcszfULdiZ40aGlqBmBOP3QUvQrT+5h9qqsfL0wVWDL3MOITJgXG7YRZVqVXkKtj/foWJFNFFiYZkmx6RF++t1TCNjQ0oKGhwbldVVXVhbPpe0zvI/1zMb5fgKs7fnaG2cesVis21n1O8v+ZOTkAgOZG+9g1/ICRAIC66npn7P59FQDc45vpmCjrs3rHrkrU7cjxJz3LPmYNGjkIgLvvqUkTS9sR9c949eEovxMRUfcl5/Sm32X8egQGYcKk/bCnCRERERERUYDFixejsLDQ+W/UqFFdPSUiIiIiIuogTJp0kDCJC1OKwi89kGxPk2TGBCVXkkk9ROnLom/b9DqG6Wlimrt+O9FzCfPzCfM6BvUnSaZnTZgeNtS3hUk0BI3RHwtKZyTajmf5Fv85REnN+AlaX1vWG7StoKoQfazp9fVLj4RJ7ujrCBpD1N4S9cFoMSQkkul1EYZUU5m2k6j6Mmqawu+5yL7XWOcmEaI8B70/SVBPEjfVk7iKLEx1Wlt6moT52cb3XzBft7m7J1IWLVqEhQsXOrerqqr4xUkXUN8/fglRU2KiOyafTHPJ6menR6SfU2ZOVtwY6XkgVeZFQ4oBALn59rItLcrxN8V7bJFjoqTtvHgOQdRe1HRYalpG7D57f6yptPsI5RX1A+BNl2Tn2ffVVthpxqAekLI/d8fjG1FfF2W/1H+XUUU5H09mWQrGL02IiIiIiIgCZGVlISsr/g/YRERERETU+/BLk3YWpndIW1MZySQkwvTiEGH6lAT1XEm0vqAxYZISURIx7TXP9uhpYnod/Z5vmNdcf5x6LlNSwC+BYKo20qsHTb1H4tIjAQmJMNsUYa6lG+o5JOiRoq5D31aYXh9Bc5DH9OrOMOT1C0zYhEjR+D1/Jkeou9Irl/x6h5jG+vXmANp2Dd4oKQrZdz3bDlGN5ZeWkCrRqOvT1yvLmI6tiarFTJXj8nrKYxm59nGuvrom9NyChKlgSybBQuTH2NskLfF5QHd/3+n7b0ZOtue2emzJH9gfAFAwwO6llNffrkxPz7DHVJfvd8Y2OZXo3j4vet8EImpf0o8IAJAa+4xvsv/dvXUHAKBit72fSyIMABrr7J5Ech4g0mPHiCZPPyIrti3vuUl3P94R9SXq7wx6P8JkEuGmlDz3+Y7DL02IiIiIiKhPqa6uxsaNG53bmzZtwjvvvIMBAwZg9OjRXTgzIiIiIiLqavzSpJ0EJRr0VEGYXhd+6w+znij9SoLWFyVFESbJESRKIiTMNsP0kUn0WFt7mgTdn+j5JttHJkxSibofU2WkX3+RRMslGiPrS3Sdf3Vs0HZkPVF6pAQ9N7WS0m/bYebll4AJWrbJZ2yQKEkQmZOa7vFLoYRJ8ATNwe81J+oo+nXygxIjsp+nZ9qnoS3K+7OjqiSdpEVs32qoTZwoC5qLXu3V3NgMILk+I955+id2Es1L3ba+DTnuhHneQfRtB6VbEiWMTGM605o1a3DSSSc5t6Vfydy5c7FixYoumhUlYnoftTQ1ex7r7hWX8hmtVqLrx0PZZ7ML7TRJv8I8Z2xTo72PSQ+T0i27AQC1lXbCRD2fSXQuRtSbdWXfP1OKVt8PJQGm3i/3yed1hpY4UX+PcFJ2sdvSA0k9r5LjY3c/LhL1VnpqDHD31ebY/inHJ1NPSFk+NXZs4P7dufilCRERERER9SknnngiLMtKPJCIiIiIiPocfmnSRu2VAkiUOEg2eRAmETL60AkAgIrd5cb5mkRJhnT02DDzTSZpE2XbUVIkQdsMM/cwvVKYOOlZgqqgkkmTdOZYPblhqqRoS5VjUDpD1icVWE3wr8wOk07Rr4lumrdfcicoLSRMleNxvWZCJIHa0sNFrXoLk2IhiipM0kIf05Y+JkC4RIhehSn7hLpt/frCznWHQ1RvmfpD+THNUxIbYRImftTUR1tfUz9BCROdzFfSM6yGo/bQ1veP/nko70t13R2dynD6F6S2xt2XmeNN65l6ktRU2ImS1DR7mboqu0dRayy5ovZHkJ4HQc8hzDXV9bHcj6knUFMa8nuCJLza+z2s70emz2EnaRv7DHUqyTPcP8vV1jXYj8X2Y/lXjgVZsd5k6n1Of8tGSd25xwv9XEY+v6WvEVNnRB1DjjHquf2QsSMAALkF9n5cV233MNq9ZScA799S9N8tJGGinrdE+V2FkhP82xcREREREREREREREVEfwaRJGwX1wUg0tr17cZjGhkk9bP3gU985+wnTi8Nvvm0VJj0RZVvtkQyJmvZoS0IpqPdMlPlR1zNV/4soiYaOmldgKkObu4xVKymcMRHm7tfTQ6361NcnlWPq+vX1hKkC17elJ04AIKfAvqZ4XVW157G2XjM5yjL6ax5l20FpF1aaUWcz7ZfJVDGHGStj5BrhTu8Vw/veWZ/h2OzXs0USLA018T1D9OeUndcPgLfvQJhkiJ7ykKqyoB5IMlZe67ZW1kZZn6nCjqirmT7bdWF6MyUjt7/dn0T2/Va3WNRNzcYey87LBeBe77yyrMIZK2OqyuyrBEh1uVSOe84rY08zTCIvDCZMqCcxfSa7583tm5rSe52pyRNJfsh+LucMWbnZAICqPRX+643t17mx30FkGQCoq6kFADTG0ikyh3QlDSrbbo4976a6+mhPjIjaRP1MrtpXCQCor7X3Q0mNmHqppsWOIfr5gUrOx/0+49XjED+/k8OkCREREREREREREREREZg0SVoySQFhSgiEXb9puShjg+4Pk85IlFIwbVt6pkiiJcx2wqQ9wgizTJjUTKIER7Jpj7aMNS0b5edNXc9U7WiqMtDH+AlKDIRJE0iKQiqx9WVMiYZQ80oLn1wxJVYSLWuan7PNFv/+JH7LB42VhEnQ9c79XmvT/X7bNtH7nYRZJqgC3TR3orCiXAM/Cn09USq+TVVW+n1SdZqdlxpbbzN0+nML6hWiX0fcRK8+Tcu0T7/V40iD3ZLAOWbJetXrkstcZQ7ua+O/bT3NE/Qa6fMNWl+Yn3eY4w9RR0q2wjJKJXZWP/u65Hqlt4kcf6RyXD22SO8f+Xf/3goAboVps+EYKFWn7nrS4uagz0eOO9LXQcUqVOrN5Hgg572J+oQlu3753Pb8bpBm76N6pXhhcX8AQEM/Nz1SX22nR2RvlERsXXVN3DZbGr3nBYWDBwIAqsurnDFNsZ4J7f18iSgcU29W2c9btPP0VOW8X/oZybmD/juC6T45bsjnedD5PrSxZMYjJxEREREREREREREREZg0CSWooj9K9b+eZIiSJggzr6DUg9+y+niVaQ5+aQzTduQ+vWdKmJ4rURI7yfZKSSbt4TeXMD/LKM/b9PzDvEaJ1p9oOepYYZIBiZIHQf0rgnqj6GOlMlKteJKEiYyVMS1p/v1K9PVKZbE6Pug56POM65USohdJlBSOUxVuuiZohDno25SUDhBfRab/DMIkdkz9bvR5hHne+vMMev8E9X9hGoV0enpC3j+SejBVNkkFtbwvw1Q26dfqDVouzPr0Y1/QMlItaqrIDtPbwy/BIRVjacr+KNXkchyWqlGZrzoP2ZK+r6pV6/JYVq73+abHUi5SFe83dz/6z925frrh2C/vhWT61BC1hboviJYOev/J/qwfC03nGdKToKbSrgJX9wnZZ2tjiVbZV+XYoFajpmfYxw7piyD7t7pfC/2cyzl2qanXEOdaRD2d/vmlfz6qSdJk+v25+3OqZx2A8pmcZW8zf2AhAKCgyO5xtr98v7vt2Ll/dn7svEA7xjTWxyfhpCK9ak953HPRz8+IKJgpkZHMOawp2Sn7b4Zy3gy4CRP1fFqOP246Nd13fnLO0NQgx7n4bevHQAqHrxYRERF1e/fddx/Gjh2L7OxsHH300Xjrrbd8x65YsQIpKSme/7Kzs33HExERERERERGJTkma3HfffViyZAlKS0sxefJkLF26FNOnTzeOXbFiBS655BLPfVlZWag3fKPeWYJSD2ESInp6IEwfjKD+GmHnEnZ+iRIcQcmVMP1KwiRB9PXI7Yrd5c6Y/oOLEm4ryrYTPZegsUHJk2TSR0GpGX1bYcZGea9R1wmqRvTtsxGQJjGtx0mLSKIhVukkVUtBZIyTeghIKYj2unZ90Hr018T0Ovo9FtTvRU+hBFWX6dXq0utEXZ8f03plfc41Sw1jwlS76euJso4ovVI625NPPomFCxdi2bJlOProo3HPPfdg1qxZ2LBhAwYPHmxcpqCgABs2bHBup6SkGMdR20ils9DTEPZ99q1kjg9tTSfoy0s1pqlHilReybFAnotpbJgeK34VXaZqz+YGbyWpU1GqVI7LvKTSTF+fWrVWH7v2eb3hGujqugAgu38+AKBmX6Vxvupz0W+7KRL//gisaKOOovc8kvdamP2zvcmxsDW2L6jnApmxL+0lRWJKsjbH9uNCOU+P9TRpjVWYGo9DseXlXETSceZeTSmeearHFr/Xiykx6o2cc5LY+16quMP8nhNl/ZZht5GeZvKZuf2zUgBAYXGhsryce3j345y8XABAdXll3Dz1inZT+tOZQ+y4Kc+7O53vE3VX+u/HYRLwpqtMyO8h8q+cjsuY7Fw3YV6xay+A+FSKLOuZT4o3QWc6L5c0e5ayDcA9lzD9nsbP/05ImsgfOq6//nqsW7cOkydPxqxZs7B7927fZQoKCrBz507nvy1btnT0NImIiKibuuuuuzB//nxccsklmDRpEpYtW4bc3Fw89NBDvsukpKRg6NChzn9DhgzpxBkTERERERERUU/V4UkT9Q8dALBs2TI8//zzeOihh3Dttdcal5E/dHS1oIp8v+r/KOsLkwiJMq8oCZYoyYOgtIYplZEMPT1iSpMkSphE6YNiekxff5TeMKaxYfqeREmchOl7EjQvfdvU+fRKHqkwDKpsikucBFx32pQQaAqRmki0nqB0i56qULcjj0k1g5rG8NtmGPpzCape19MTpnX49RUJmmdQUsdvPaafj1SChUn+6OsxibIev/UFvQ5RxraXxsZGrF27FosWLXLnkZqKmTNnYvXq1b7LVVdXY8yYMWhtbcWRRx6Jn/70pzj00EN9xzc0NKChwa28raqqap8nEEJPrubV33Pynraaknsu+muRzGtjqv6S+yR5oVeoq/R+IuqYRPMxbVvv+yHVo2oVqZ5yMfVKca+WLtc7t6tO6/fXAvCmfqSataWx2Xhbqs0A92eoJxPVnivNjTJnb0W/zM/UL6Inv6+pZ9D3X7cPUfzYjn4/6ulc9fNRqjhlH62vtvdZ9fxKnotUv6fHEmUFA+wK9IxMt9K0sd7+rJK0iOyrTsrFsF6plZRluiKNQ9Sd6L8/tFcq0rQe2Sfdz2D7KipFQ+zf2avL3d+R5DgmybSCQfbVNmor7b4n2Xn9nLGyH0uarT722a4+N/3YpydMwlTME/Ul5v3A3Kcw3PqUviLwJkRlf5Q0iXplBD1hItQeZ/K7wMBhxQCA3Vvs9NrAEYMAABV73Cv3ZME+z5djjPO7R+wcQj0v0I8PffnY0KFJE/lDx8yZM90NRvhDx6hRo3DWWWfhgw8+8B3b0NCAqqoqz39ERETUO5SVlaGlpSUuKTJkyBCUlpYal5k4cSIeeughPPfcc3j00UfR2tqKGTNm4PPPP/fdzuLFi1FYWOj8N2rUqHZ9HkRERERERETUM3Ro0iToDx3r1683LiN/6Dj88MNRWVmJO+64AzNmzMAHH3yAkSNHxo1fvHgxbrzxxnadd6IkR9BjphRAMmmPtqRSgsZGGWMStK1kyPqkn0iQRNsKejzMc4zSX6StfWQSbbOt740o7wkmT7pOUH+NMBX8fn1PgrYRJingl4hJZv3q8voyUtUMuNUWTpV1wHPLKcgDEJ9cMSV2/J6vcZ4hXnOp+GhC+ARPXHJHnachbZRoTsmkhvR+Lcmury3LdKaSkhKUlJQ4t2fMmIFDDjkEDzzwAG6++WbjMosWLcLChQud21VVVZ32xUlPrt6JSxzE0hOS5FBFqWzWkyDphmorp3+KlsrwVFlraY+gngf6z0EqsoOSK369Pkxj5LWR+Umll/pc5BgjlWctajIt9ppIJbrTfyn2/NXKM0mfyHHWuUZyLjzrB9zXWubTWLffMyd77t6ECVF3JO9Z0/7Z2cdZ9RxHT5XK7VTlGCApkbxYj6EBE+3fe/eWVtjLKL2MamIV5/JZbDkJG3sdpv1bPxdT9++MHLtKXY4pekqOqC8wvd+T6fNnWo/so42xPr39Yvu5VIEXDy92xtbVeHv5jhhvX4Fl9/bYvtysHNcsez+uk/RabDumtJn++c0KcqLw2tKnz3TVDjm2ZGTZ5wpZufbnsPpZL+f18ruB9DVqUn6fl8cGDi2wx/SzE63NTfayg0a6vT/l95CK3RWeuTh90ZReKamxaTBx0gk9TaIqKSnBxRdfjClTpuCEE07A008/jUGDBuGBBx4wjl+0aBEqKyud/7Zt29bJMyYiIqKOUlxcjLS0NOzatctz/65du0JfyjMjIwNHHHEENm7c6DsmKysLBQUFnv+IiIiIiIiIqO/p0KRJZ/yhIysrC1lZWcbHkpVMr5Cg6v0wlf2JUgRR+leoqQL5//6D7WthmvqCJOoRErS+it3lnmXkftNjQXMXifqWJCsoNaKPSTZhEnaZoPUEpUfaY71+91HnipIMkUrFZHpVmLYVlDjwXUda/Hz9noPpOUkqQ0hSRL2mfoZWhRnUt8MZG6UXR5o3caFWXOrVH9KDReanPq7PT6pF1fWFeU38HtOTIWGWMS2v92kJk2oKel/6PRbUj6e9ZGZmYurUqXj55ZcxZ84ce1utrXj55ZexYMGCUOtoaWnBf//7X5x22mkdMse+TCqO9LSC2g+jJUo6SkthyLW71cppPXUiFdO1FVWeZdWxegV1FEHpkSj0/VrtaSK9DmSf6ldo9zFoVsbINdBzY2NrKuxqc7neeW6+e51z/TOjurzSnn+sikz9mch9IyfayardW+051CppPr3fiZPyMTxPVqlTV2lLJaiqLfu57BuSVFPJ+Ytz7XLlWNWv0D43Khgg50iNsfXY/6pJMlm+rsHeR7NilaoyJj3D/d1YzmVkW/JZLediKuecIXZbX4aor5H3vpzj6P1ATPQeZYD7Oa0nviRZ1tToftbLMaRggF28s293pWeZzJzMuLFyPiDnPGrat6XJ/pOffNbLMUE/f7PHstcRURjq/h3Uc1Z/XJbTzy/qquyei6bfDYqH2/1J8grtz/qigbnOmJwce33FA+39uGyvvQ/L6iWNBgDl5fWxx2LHjUp7m/JZr55nNDfE9zzqqzr0FVD/0CHkDx3qZTOCyB86hg0b1lHTJKIudt9992Hs2LHIzs7G0Ucfjbfeest37IoVK5CSkuL5LzvW/I6IeqeFCxfiV7/6FR5++GF89NFH+Pa3v42amhpccsklAICLL77Y0yj+pptuwosvvojPPvsM69atw0UXXYQtW7bgm9/8Zlc9BSIiIiIiIiLqITo0aQLYf+iYO3cupk2bhunTp+Oee+6J+0PHiBEjsHjxYgD2HzqOOeYYHHDAAaioqMCSJUs67Q8dfhX4UfpWJNtnItF6g5YL04MjaL3ST0RPeQSlKPwSIWHSJSo9saKvL2pyJQp53rLeML1H/G6r8xTJ9BUJSoboy4ZJpZj4Pc+uSp48+eSTWLhwIZYtW4ajjz4a99xzD2bNmoUNGzZg8ODBxmUKCgqwYcMG53ZKSopxXFcKqsAPkxQQTVoixLTeMEkGWS4oYSKVxLLNKMkN03r90gl6LxJ74+Z56+sC3Ipp/bmpY/REiT4/U18Rqbqs2eet6FLpVeum/iwtaS2e9eqiJE+iVncm6uUSZVtBPWKiJFjaw/nnn489e/bgJz/5CUpLSzFlyhS88MILTs+0rVu3IlWphCkvL8f8+fNRWlqKoqIiTJ06FatWrcKkSZPabU7kpV8zO0qazbQe2afk/VRX5SYn9Aru/IH9AQC5/Qtij3uvBw7E77thmKrWo1Se62Olkkt6kxQM6h+3TG6+XT3WUBtfpd6aFat01fqf1MeuZa72KMjM8V4bubDY3lZlWQUAIL/ATaXkF+V7tqmmW4QkTGTu+meT+lz1fjasXKXO1taUk3MOoa0vzLHAVL3tnDPFjmdFQ+xzcHVfm/g/doGg7MYV++xj3q5tjXFj9f1P+iTI526TEjSTbTrHh1TpseTul3J8zItVtkvVuhwv1eei95Ai6guifI45fcw8PZXs/S+nX65n7LAxAwG4/QcAYPgI+/eRnTvtKvCcbHv/65dnf57X1bljt3yyG4CS8pXfy1rd44WcM0mSXjjHBit+X+7L/QuSdd9992HJkiUoLS3F5MmTsXTpUkyfPr2rp0XtzLR/64L2H+lvlALv78tO4lxJsMjfGCdNtq/SNGF0LMWW4p7vjy6yP6+nfPAQAKDp4EMAAGuyTgAAvL/VLS7ev9/8O5D0U5HPfvs+/fewas9z83t+vVGHf2nCP3QQUZC77roL8+fPd75IXbZsGZ5//nk89NBDuPbaa43LpKSkhL7EHxH1DgsWLPC9HNerr77quX333Xfj7rvv7oRZERERERFRX5VMESgR9QydcoGyBQsWYMuWLWhoaMC///1vHH300c5jr776KlasWOHcvvvuu52xpaWleP7553HEEUd0xjSJqJM1NjZi7dq1mDlzpnNfamoqZs6cidWrV/suV11djTFjxmDUqFE466yz8MEHHwRup6GhAVVVVZ7/iIiIiIiIiIiSpRaBTpo0CcuWLUNubi4eeuihrp4aEbVRhydNepJEDeCDGrj7LWO6L2hMWxqNm/g9pt6vXxrLr8m7Sr+0VbL8GsnL/VHWH/VSXlEuRybCXD7NbxmV3yXRwiwf5n0ZprG839yjXu6rLcrKytDS0uIkz8SQIUOwfv164zITJ07EQw89hMMPPxyVlZW44447MGPGDHzwwQcYOXKkcZnFixfjxhtvbPf5BzE1TTc9ZnrcNCbofr0psunyM07z9Gb/hvJ+l+UyrU8uz5DhXPLGd7WhmognanSvRlVlPvrrFqkhm+F1lMtyRbkElWxTbaocdCkwwPvzkrFyKSJ5HdrajF3+1d8bQZfM0pvaB13SqyMuwUU9m7x/5BIUQbF1YYqvy33uMSH+2KA3JZSG5dJ8vsVweSmJvQPhL9NlauaqX65HLlsjl+4wXcZGti2XyBg8xr4Mz/Cxxc7YYcPsS3bs3Glfaqu6yr7czs5Npc4YuQxXXpHdJN5p/Jppn86rjdvl8lyyTflXLgmmXspr1+YdAIDmxvjXTcjzk+XkmFVbEV+EwMtxUVeTzyh1f2wyXLbPj1yuRi55I1eviXIpCnU/aIitoGio3cw1Ld0+thw+dZQz5qqiRwEA60efCgB44lX7snlyOZ+6mlpnbGqsoTNil8+or/UeJ9XPZv1zOj3LPjao511y/ieXKZVjl7x+7vHTHSvH20Tnb0Q9UaJzYvXYIscL53eC2DmIeryQSwtnxC6zmZMn+659nPifw92/YwwuspcbPdw+Bpxb/kv7gX727fdHnuGMfQp2iqF2v70fyme9HLsA9zI70gBe5ulc0kv9fSz2e6I8lpLqPd/vi5fmSUSKQNXeiomKQBsaGtDQ4P7yzILO3iVo35Dz6FbY+1SjfN7GzuUzs7OUsfZ60tPt/bGy2v53SJG7/lGpWwEADZs2AwC2/OY5AEDtyqsAAFPfW+OM3Vduf/7vzbGPb4319ud5U4NcYtk9bkhTeP34luhvLL1RpyRNiIjaS0lJCS6++GJMmTIFJ5xwAp5++mkMGjQIDzzwgO8yixYtQmVlpfPftm3bOnHGRERERETUE913330YO3YssrOzcfTRR+Ott97q6ikRUTcRVARaWlpqXGbx4sUoLCx0/hs1apRxHBF1vT6fNAnTnDvM2KD7EzX9Dlo+KEXQlnkGaUt6xJT2CJNc8VtPUXGec9+mD4P/0B20ftMcoqQ9RDKpIRPZptDX19am8VESMWGSKx2luLgYaWlp2LVrl+f+Xbt2he5ZkpGRgSOOOAIbN270HZOVlYWsrCzfxzuCKT3iJ0y1vqmy37mvJThdALiVgfp61LGynrh0QkDyQCoMjfMLaBKvj9Wb0Aetwy9holY++KUxgl5rPe2RaM7qbXVOfs3iTeuQsX4/nzDUKnhdlKbXQWP90jemlAv1LXrjd70JeNAyyTZa18dIVWealgBTSaWlpDOCUi5yn1RXq89Jjg+SpNFTFWqVVmam93NH1idVZiNHuA1hZx2+BwAwdNIWAMBzO+3moX8vc5syynJyvMiWpvGxOckxzHRfSyxF0lBb71kXoDaHtZeRxIkkWNT1yH5uagjpzpPVp9S15H2qvs+jNDaW5WR/1j/XgwRtR/bdwoH9AABDit39p3HdOgDAwXvtxs5fOf6bAIB7N8eSIfVuVbI0hZf5yHEozOewMT0cW845p9OOoWoTekmx9ZWECXsV9E1yDPA7pzElKvX9T/18lN9RqsrMf6/Yvcf9m0dWpr3NC/L+DAB4+Ss/BwBM+sZEAMABV7pXVvj6SYcCAP4+8EAAwNv/2QkA2PP5bmeMVLDnpNvbkOOQpO+sVv/ztpRYqi09K/53LT2FQuEtWrQICxcudG5XVVXxi5NezPR7jiRY5XdpSYmp+5Ocg3y2sQIAcNDB9t80N21xjz/7JvwPAGD0KbcDAA4/7b/22I9XAQB+V5rvjN253T7+NNTF/kbRYk+iqVFuu9u25HerjPS4x/Tn1dvP+5k0IaIuk5mZialTp+Lll1927mttbcXLL7+MkpKSUOtoaWnBf//7XwwbNqyjpklERERERH0MexUQUZBkikCzsrJQUFDg+Y+Iuqc+mzQJqsD3q9IPqugPuj+Z6v+g9IjfPE2iJGGiJC/8Uh2m+9W0SKL1hUmLhNmmPtY0Ru7T+7OYUil+SRD9tVOXC5MI0ddvuh3l/RMlqeSXLOnMniYAsHDhQsydOxfTpk3D9OnTcc8996CmpgaXXHIJAODiiy/GiBEjsHjxYgDATTfdhGOOOQYHHHAAKioqsGTJEmzZsgXf/OY3O3yuUQRV3QT14tD7dQT11XD6lGjVfmEqIfWUStC2pMI4vcBNoOi9N0zJlUTzCOrlos9PHet3Tc0MZdtNMKc81EpsZ2xsnvKc9IrSMM/JdP3wMKkR3/4shmX90jNBKRxd0ONB8/R7TkF9T6hv0NMiYa51q/cDUdMZfvtYUBpFvd4+4K0AlW3o1/m2mvxTLnKfLJOmvKdl3Xq/E7lf7aci/y9JDjnWZOXa85VrFAPAAVtfBAC8MusWAMDJ658HALxZ6FaIydz37Siz5xWrHpWK2Pr9tXFjpVeT0yumNr6SXI6LkjBxU4duEkY4/QxilWfy81JfxyhV+UQdKdnqR/cY5e3VpH6Gyn36NvQ+KICS5Ijtf1s32NXgTQ3useWCaUcCAF6efSsAYMaaowAAg4ZNBQBUl7s9i2Rf149HYZJfQa9JmONvlN4wPR17FfRd7me6niYNX3Ps3dfs5eQztLq8KrY++3ixbZP7d4esrIEAgNKxhwEATn72uwCAvS/+AwCQ/u+VzthxR9QAAM6afLj9WPpoAMDrL7m/G8qxqqbSPobo5+nBqZnEfRT7OrUIdM6cOQDcItAFCxZ07eSoWzB97sqxRP5+IakuN/0NZGbbj+3bZZ/Lfxy7P78w2xlTusfeDzdstLfxYqudPmu1JgEAKj/c64wt22H/bS8t9jtArZYaz8x219tYH59M96MfF3tb8qTPfmlCRN3D+eefjz179uAnP/kJSktLMWXKFLzwwgvOdUG3bt2KVOVAXF5ejvnz56O0tBRFRUWYOnUqVq1ahUmTJnXVUyAiIiIiol4kqFfB+vXrjcssXrwYN954Y2dMj4i6iURFoETUc/XZL03aqwLfb5kovVL08X7rSbS+KD05TPclSl743adS0xnjJtnXZZReJGF6m+hj1LHymJ6EMa03Sv8U/TmZkjZ+r63+2pkeC/OeiDLWbzvq2LaM6cyeJmLBggW+lRivvvqq5/bdd9+Nu+++uxNmlZygClu/x4Kq9fVkgDo2zPWk/ZIFpm3qKQK5LdvR+42YREk9qHOQZIhfOsNT2eTTY0XdtrzWUk194JEHAQA+Wv2+73xM6RudrFefQ7KVV36vucgpcJN60kMgaDt+fW2CkiGyzaD3mt99YZ53anoaUq3wPX6oZ0qmqkiqG9X3q9/1cYOqtOITEv59naRPR1q6N10BAOmxxIokTNx5umMkueJUeGd4T6XVBIfMx+llEis9r41Vib+1arsz9qiLz7bHDrgNANCvoQIAkJ0z0BlTU2kvVzTUvq+81K4ekyq1+uqauOetJ2KEmsyrrajyjJUUiaRU1MfC/Jz1/jamKtbu5L777sOSJUtQWlqKyZMnY+nSpZg+fXpXT4u6AT0NKpWgAJAS26Vkj5B9I+gcoCX2mPy7b7e7j/2y+hsAgIvetYuAatPt48b/TLLPA0q3uhWgdbF+RrUVbs8jdQ5tpe/vva1qtCOxV0Hv1tZebJJAk/OMyt32792SAgGA6ir7s3737kEAgHNPto8N/a+cAwDIbNzqjM3f/A4AoLV4CgBgyni7Orzh+PHOmH377G2teeW/sbnb6RY5rqnnA4l+tzQd3/pKX4MgiYpAqW9TeyNZlnc/cVLtsXPv+mo3NZ6TZ/+uImmPPbGkyJ4d7vJbYuf3kmJvarDPuRvrY+fiyvn//r2VnjlIqkXmoP5eL+c78rtMmP07ShKvJ+mzX5oQEREREVHfxSbPROQn2V4FWVlZxseIqPcKKgIlop6rz35pYqqqT9SfJEwFflv7TfiNUXtm+G3TRF+fnqYIekxPnKj8+n+oCRS/hIkkUExkGRlTXlYdNyZoXjq/tItpeblt+vlE2WaiFInffUH3B60/zHpNwoztyvRJT2PqL6ELc61/v54Rcn+/AYXOWLUKGDAnWRKlHtra40Jfj6k/S9D8Eq0vzLZNKQ29OvSz9z5FWHHrN/zcpDJDrk8etJ5knotQ0yVheqQIv14pYeagb880Jsx6icJSr5er98pw78+ATqojm2NJhrRUe1k1GSLk2JRXZB9DW6UqXNm/q/d5rz0vVVVqciUt3dvDRO/poVZs5g8sjM3Pnk9urD9JQ61dCZqd61aOf1ZmV5PPvMi+LnnBpjUAgH75hzhjKvfa267S5tlk6CuiPwe9PkxNDmbn9QPgJlXC9CIJU4ke5jOvq6lNngFg2bJleP755/HQQw/h2muv9Yxlr4KeRz1uyPvR7xgTRD4DU1LdY5UkQaVqWyq05fij7hPu/hLrPxSrJM0tcPsG7d5tv7f+lDcNAFBXb49taYm/nni2nIPEttne/YMkHSfHib7au4C9CshPsqkK/XO6NXZMUM/38/vbTcH37baTZE+8YB8nBhbbKdOi/m56YfRQ+3hRtc1e7/4ae33pyl/5Sj+3f190erBp+7Oaro2SGtHHMnFCZBYmcS2f4+rvMLs224l0SX3I7xjS0xCI7znS5KynybMs4P7+LukT/e8Yap81ObdJsaT/YuL9O+hY0JOPD70zP0NERERERORDmjzPnDnTuS+oyfPixYtRWFjo/MdL7hD1fgsXLsSvfvUrPPzww/joo4/w7W9/m70KiIiI+og+mzQJ6h3hNyZKMiSoF0kQv/WYEg5htq0/JkmLoHRK0Db9+pKYepz4pVDU9Ii+Hj0ZoqZS9NSJrK+oOC9uXaZtJaLPV32N/BImYV5zPXFiEpRk8Xv/JZsm8ZtfsukosoWpwtOTB0HL+CVOgq41KxUK6nutNla55NcHJGgOQckQnalnhiyfG6vGlLmY+g3oyQiphkqmEhQAsvrZVZg5+fa2q8r2ebatVkDr29LnYKqWloowU+JCtuFUpMtrY1hPoh4u6v1hxuiS6UES9nF9jN98Wptb+myVal+STAWRLGOqwNJ7cZj2H7XSCnArpkyVTbKNfTt2A3DTYs3KtqWqCrFNyb6sVn2ZUizqPNWqLfd64Xa1e26+nehoiT0Xue4wAOwqs+fc+O3rAQAfWbFeJlvit5WZneX5t7y0zH7eTf59X/R5qq+n3q/K1AdFxkf5OXf3arKoTZ7Zq6DncfZpwNmvZR827d+J3rPq47LfyH3x5xDx6TiZj6TQcvNznMfSM2L7VqxotKHB/p+dpbE0SZO7z6ZlxKpFY9uyWrVeSxH7Leik8jyol1Rb1t+TsFcBAcGffcl8Luoj5ZwEAJoa7f24vtZer5wryPFjn/Lr+O499nlAerr9WEZmbJlG9TzIfqxfLO1asXtvwvmF+R0jylgiCsd7HIn1FWm1jwFOP5R6d4Tsd5KsddIksdtpafF/q5DzF/l7iayjpak+bqybtG2fvEVPPIfos1+aEBERERERhcFeBUR9E3sVEBER9U197kuT9urjoKcGwvSZCEqEJEolBK1Pv9/Ut0NPj5jG6D1HTH1AJNURRpj1CX3MkcdPBACse32DM0ZPlshY/XHTHPRl1cf8xobpXxKUKApKlujLqz1mEi0b5n0UNJdEiRXTWCZMEtOrbIIq+sMkA5xKRT1xEuIa8bXKdXH1ykepKJDEipr60FMdGVrSxFN1rD0HWa86RiquZT7SS0BSHypnfrFKqyZt3qbXTH9s6Hi34nd/RZVxW0HJFb90TxjmREh8oiZoOSBaukfIddUB7zWRo9JTM2FSJH7jVelZmUBq4mu5Us8kFUNyDfygCuUonOvixvoPwPD2qq2wr/ctPQqc63Ur29avrytMqRQ9BedWcbvXC5bjovT/kH4gkljJzc93l5f0SY1dudWv0N5XK3fGPpuL3fOW9R/Z9/0BBwIAtm2r8awXAPZss1MyOQWxxIrTO8Eyzl99zEkbxv5Vn7e8Xnrlvenzxu/nauod0d2rx5Jp8kw9i/pZKu9v2Sf0fkTq/4d577rLp3jul+uHqwk6fd+U9Fl+f7e6vCDfPo7tq7C3PWKIvd4hxfb+vmen2wMpPXZsaqyz52A6r2qL3pAkI2pP8n7PyLH3Q9N5ul+PD/U+OZ+W44QcP6TPEQCkxz5PU1JSYrftY8Puz+2/TQwa3t8ZW77PPpepqbL/7VdgH1Mq97q/D8hxQief2011/tXlYTBhQtQx9M9ZOX8xJer1c3b5faWx3t2/5bgjxyGnP2Ojfd6v/h1HtpWW4X9VgLDz7unY04SIiIiIiPoUtcmzkCbPJSUlXTgzIiIiIiLqan0uaZJMX4gw1frJpEhM6ZFEyySaV1hBKQo9EeJJQcR6b+jrkaSI2kNET37I7fEHD3bu+0zbtqxHEiZqTxMh2wjT/0Sfg55OUcfoiZug5IrfOsIKSnfoj4dJKun0sab3ud82g8YycRJPr84PqsgPkyLQe25ESakIdf36fBqa64zzVsljemohqCeHJETUlIuTmolVLYw8YBgAYH15Zdx6pBpC1hOUmNB7jsiypZ9tixuTTK+ZMOuQZE2L4TEZ7/dzVrdjqgxPtG39MdNr5Zd8ylC2J+8Ffd5tpW+7uaERzU3hkzMUXjJ9RNqbbDuo31KiZU0pBSGpB0myAG6aRSfLquuTyii/3ijeSlBvBZdsJ9VwPWBJmBQM6g/Avea42h9Br0CvLKvwzK+h1q3+2rvTPr/4d5mdnqmptPfrFmW+ci3j/XsrPOtNz4w/nZdqMlmmsU5em3TPc1XJMUt9/YK2oW5HTcSYUkHd1cKFCzF37lxMmzYN06dPxz333MMmz72U/plsOn4muma3qXLc8jn8qp/vem+l8tK9sWXd/XDAAPu8Ytxoe/+rj003O9MeM3h4oTN2y8d2OqpgYAEANxW39/PS2PbcY4/f/NpLd/gcIuosplRGFLLPp8ROK9zEqLv/tMZ2WivW4Eh6nKSm2/ta6Za9cWOdc5Bm+cx3j3f1sXMNSdhKkkVP9av8ficwnR9EqUAnomDqeYaToI/tY6bPWT3ZJp//sr97zgdix4uWWA/EVPn7i/xdQ9mX5fjQ3kmynniu0Oe+NCEiIiIiImKTZyIiIiIiMulzX5oEVfTr90Wp1g/qaZJo/ab7kkkejI6lQNRkiKnPCWBOTOjJDTFaS5cAbm+QoMSKjJHUh9z+bP3uuDHu7Vz734CeJpJUkfWYUi5+c1D5pUOi9DQRptdcF5Qs0seESRaZxoZJo4Tpe6I/xoSJP6kACNODIkw/Ej1hEiUxEYZeTZSm3G5uCB5rMnj0cABA7X77+vvqc9SX3/ThFs9t9TWT/5eqCKH269DJ2DCvvSlpIaSSwnksVtDeoiVlALcSIyPTHlttSM1ESrn4JIpMZNtB/V78tq0njSLPM4m+PNTxemK1jsqU2MrMtHfA7Dz7fKB6n92fSK63C7hpCTXV4Ue/1q+eGlETFDIPmZckTeQ24L6/JWGSlW0fC6TKU63ocqo502MVoLHnkNUvdk10Zf5VZfY5h6TtnOeqzLc+trxsQ459Vqu9HfX4Jn1PhDwXec3U7bjVaP7XLZZtOlWyzu34/ic97X3JJs99U5iKzfjricenUuLGSCVng7tPSB8E2Ufl2FC1zz2H2PG5nRop6m+fjx8w0l6+sdneTlGRm7ZrGlsMACjdZp+fZ+Xaj8mxSq0G19Oo7dVvSr/NxAmRl2lfkNSsns5Vf2eSc4Waxv2eZepjn9WFxf2dsc119lj5bK8si/+9pG6/fQzIzM72rEeOVWFS7c5zUqJrbs+DjNgcmDghaitTz8Eg+mevHAvkPF0S4arc2N9XpNei83ecZvVcPj6R3hY9+dyAPU2IiIiIiIiIiIiIiIjQh5ImYRIgfsmSoB4kYRImyWxbr/pX0x6SatATJ5KMMCUG9NSEOpfJJ0wGYO734UeSG0dqiRBTDxLhpEhi/9rrqfXcJ7eFuj4ZIwkTSZyYtq2P1XuvAPG9W4ISJonSJ2GSIUE9SJJJhvjdDlq/uo0w60kmSdXXREk5tHdFfxh+yzv3ZxkfBuBWZEvloqdXSq79WPmuMgDm617K85blglIVeqJEqqAlCaP2StGTIS1pLZ7b6hg9CZRVZK/XlBCRqq+gn5c8hxrtMbVCLNHPLNl+N37PybRuPeVjfC4J0kxqdb1U4Id5vwu1P0+qlTi1lMh9992HJUuWoLS0FJMnT8bSpUsxffp03/F/+MMf8OMf/xibN2/GgQceiNtuuw2nnXZam+fRkUzXy+9pnONFY3wKRKoQ9X4g1eX748ZKcqP/kIEAgLpq9/xA9lU5TkhSwq9viUqSJTI/tdozt79d6d0Yu2a5HJeycrOdMXVVNZ757duxBwDQr38+AG9lVmXss1KOY5KeEdlK2iM1335N9u+1j01SWar2L5GEjdATMWpST/br8YeNtW9rvRqalH25STtGC/X9KPu+c5/2EvfU9ytRkKD0hF/Cwu9zGIjvAaQeE+pq7P34g/ft48aOHfZjhf1jn6WWe2ypqbbHSq8D6YHk9DJS5utX2a7yOw/Qr5FuGuOOlfSZ72aIejXZX0y9wyShIecech4kxwL181f/PUdSqXIOpZ4zyTak/1mGJFGVJGtrbIwkTGQfln9N554Jf39U79NuR/mdiIjal54Mt5QTdvk9SY4FA0fYqdX9FXaqv7E+vmdTR6VIe1I6lUkTIiIi6taefPJJLFy4ENdffz3WrVuHyZMnY9asWdi9e7dx/KpVq3DhhRfisssuw9tvv405c+Zgzpw5eP/99zt55kRERERERETU0/SZpIleGR+moj9KMiBK4sS0vURphKA+JUG9N/z6dqgkcaGnRIJ6hAhJeUjixNSvZFrJCADAp59Uxu73Vlra2zInTkypFEmYyG1TukWdB2B+HaL0NJH/1x8zjQ3zmuvC9CnRhemNE9SzJ8y2k0m19AVBFTTGPhNpwUmTdCUhoVfyR0mpqJX9fvPTKyDVauO4dEKLN11gqlKUSmdTZWWibQddQ7epUeZlPye1glqWS0v3JmDU5y3VWfLajzhwdGy9TXHrkzHyWhTG9gFJt5iqv/T5BqVHpMrcVAUv6/P7uXvu80mYmF5z/bUOSrL4vbeSqUr1rFdJFrW10uyuu+7C/PnzcckllwAAli1bhueffx4PPfQQrr322rjx9957L2bPno3vf//7AICbb74ZK1euxC9+8QssW7asTXPpSD2h2iYRed+kpMbX5ch1r2X/27cj1utDqYiUdIdUVB5y5BgAQNlu95zkk7UfA3B7gwjZn9REhux/Tlqq0VuxqV77X78ed06sCrxeOV5IoqRfobdniCQ51BSb09MkNi9Jp+QV2euor3bXK5VhUhUuVaJyG3ATJe587TF6KtDetv0a7Nttz2fswXb/qc8+/BwAMGzcUGfsto/t9dTGKs1MPzudXmXfG1JS1DeZ3u/yHpZeJHJbrRz3S7SZeqjp5w4Z6bGkrHLsk/9Pz/D+nvTphr0AgEYlvdfa0hoba+/n0uOgodY+RqjpXEmfyLFO5q3up36f0e7zdu/z7/divzZBCRv2PKDeTPaJuGQm1P3F3teC9oX0LO/vJa219jJyPqCe48hxo1+efe7UWB9LnhrO4XPyJNFaHje/tpDnZtr32e+EqGPpn8V6gkzv5QgAqbHfOXZv3RUbG9//RBIqHXVO35N+V2DShIiIiLqtxsZGrF27FjNnznTuS01NxcyZM7F69WrjMqtXr/aMB4BZs2b5jgeAhoYGVFVVef4jIiIiIiIior6nVydNolbg68sFJU8S9T0xjZW+JGpqREg6Qe9XYtq28BurJh38UiimMZIs0VMUarpET6XIv5L6kFQJ4CZL9pV7KwsGFGUo/1/oeSwojTLhQO/Y8jLjU4ubs3eZat8x8pjfskD862l6ff36xwS9H6MI02tHvx3U04S9TcIzpkhC9I5I1AciTU0KtHi3EaZC35lXrHowS7lOfl1VfGLMb73680vVEhKmsS0B85Oq5zC9OIpHDIrN3a6iqiyz/2BdVVbuO1/ZtprUEfr1gHdvLfXcDkpR7P3cHmuqFo2SFnKSFgG9XExVWX7CpJD0+6K8j8IIM1/T+6gtPU3KysrQ0tKCIUOGeO4fMmQI1q9fb1ymtLTUOL60tNR3O4sXL8aNN96Y9DzJS60g0lNXKSn2bdlP1bFyzJJKyrffjP8Zyz5VMMDuQVIbq2SUlId6XDL1VlHnlJnjplUysuz1SNV2ZVkFACA3302VDBhiP1a73z6GSJVnXSwFoh4L6vfb50ZSwSXHHVPKRfqo6Ok9terLr2eL3FaPa3kj7VRuXSzN8sm7mwEANRX2tdAbauOvWyxzl4pxtY+BvE5+nynq54T8NHtSFRn1XWrVtt7DLSff/p1A0nHq+YD0EKjZF98jDfCmS5xri/ukMwBg3y77nLo+lhapyrd/F6qptPso5Ra4vxvVVnl7QFqxfieSMFG33ewk8OzjjeyrLUnun377tSmVoid1iPqSZN/3ss/K+bR8FktvEvXzu1+h9+8WtbG+a+q5jZxf6Im3ts5TZ/pdIyVVzid6Tv8Cop5MT5CZUrFpGfa5juyPTQ3eFD55MWlCREREfd6iRYtQWVnp/Ldt27aunhIRERERERERdYFenTSJ0s9BfSyZVErQdmSMnjBRl5V0gl/fE9N2/LZtSj/IeiafMBmAN3Gh9+AI6skhyRI9CSJJEzVVovcn0ZMiJjKmqMCuqPh0i3+Fvt8cotJ7t0iaJowwfWWCfnb6zzeo106ivjcmQftAmPeaXxqlrzJV0PhV8Jsq8vWx6YbUg9OXJESvFCGVj1JdrVYUmPqc+PHrOaL2/9AFpWikoklNvgButbl6f2VZpWeZoG2G2bZoaPauR26p1/4PSp0AwUmboCSH3Cfb0ueijvFbX7oh5RIlneI3X9NjfnMLui+on4p6f1uSLsXFxUhLS8OuXbs89+/atQtDhw41LjN06NBI4wEgKysLWVlZvo93pN5UgWd6LpLG0HtwqEkG4VRBx8ZKWkM9hsmxQ7Y1aORAzzqalUopWV9tpZ2wkOOk9C5Se5BIwkTmLhWcaWlujVHVPvucoabS/leOv83afFVSTS7PobEuti97ehR40yJy3EgzHH/kOKlXhKmV4/t27LGfQ6wHi94PRSpPAbf3ipCfS3NAtXqLU1XeGrdtop7E9D4XTkI2tn+rFZz11TWB61U/9/TeP27vJ/cYKPv8/r32MUn6lkhPpWal/4kVi3NkZNrHn8rYeXqLoRdSS1Py/USC+r2E0RQ7zrRX7wSivkTvTeDcznGPG3J+Ib0gnc9kZX+Xz3jL8u67nXHOGX+e13vOd4m6I73HkHouIufwMkZ+n8qLJe33bnd/d26vq1T0BjyDISIiom4rMzMTU6dOxcsvv+zc19raipdffhklJSXGZUpKSjzjAWDlypW+44mIiIiIiIiIRK9OmoTpaRLU60EXVG0flGDxuy9K74goTEkRSYi8+9q7cevVx/v1+lAf80t1TBjjVkWXV9mVD9K3ZPxw+xvN8mq3arIoz/4Gc80HLZ7lZdlph7pjP9th3pakUdTkifRN0Xuk6KkSE7dPS/xYef6SRtH7v6gkWSS9bExplDBJJT9ByZCg7filR4Lea4n6oPQ1pur6ML1N9OVNSQm5T+/TIRWIpuvJ69eoNaVK9DSKfr1c9f/DVBaE6rUSq9CU1MjQ8SMBAENG2e+nzEx323t22j1MyraXeZbpKGHSIxmGlI7em8GUHtHHNmmvdZj3hpPaMPws/foaJFq3OidA6b0SkB5JNM+gx9qrpwkALFy4EHPnzsW0adMwffp03HPPPaipqcEll1wCALj44osxYsQILF68GABw1VVX4YQTTsCdd96J008/HU888QTWrFmDBx98sE3z6Ci9qeLO9FzkPqmWDKp41h8z9ceQCu/tH28FABQMsj+D8wrt3iO7t7rpEbUnCOBWXNZV2+cx2XnuucPAof3t+3LtMXKNX7kNADs277XnGdv/WmLHKvO1vFNiz8nbV0X24fRM9zRc0idyHfLaWO8R07EqTHJQqk8bauxKb3nN5Bigzkmfn+lnGOZnR9TbyDmXKQWcmW3vq4319j7m9i3xXsPfvq/Vs7zsRxlK3wG1vwkApKTYx4/sWCVoWoZ7LJCeBvv3VRjnrSfLkhX02RTlnLE3fcYRdTY5D8gwHIcqdu/1jNWPI4B7vqInvzpjv9R/T3bPQZo8jxNR+zKei1je38cyc+z9sb7a/3cZ6uVfmhAREVHPd/7552PPnj34yU9+gtLSUkyZMgUvvPCC0+x969atSFVOCmfMmIHHH38c1113HX74wx/iwAMPxLPPPovDDjusq54CEREREREREfUQvfpLkzD9HJJNj/j1Pwnatj4mKCEQJmEiy+hJBlOiQe6TsWqaJFH6YvzBg5WxtbHlvf1EJNkhCRHA7Uuip0mmHeouV5TbELsvK3bbXn/hSLsi8u3PB7nzGG4vryZVVGrKxZQ+0cnzdtMz1Z5/VUGvrd/9QQkTP0EJoygJqKD3o99jyewLfSVxEqV/RdDyYcYKv34d6rKyXj15YFp/E8z9RUzbCdNfw295tSpar4ZuqLX396OOKAAADC9yKyHH9rOrn7bX2/vNI0/bx4BP390Yt01n/e1UDZFTYB8D9BSPXHNc/fnJ2DD9VIReIWZKC+ljg95rfmM9j/n8DKOMNW4zRGWpqU9Le/ysFixYgAULFhgfe/XVV+PuO++883Deeee1ebvUdvr17PXbpmpHue6uHEfUZdy+J3alYtUe+3NW+pbkFbk91CRRkpFlV3RLX4BRB9nJt3557rX/Bwy0x+Tn26fHdXX2vPbtc/t/iNx8O9VSXmqn4yQNqF4zvLnR219AbkvCxFQNLr1GJD2j9jGQ9IlfdWia0ptEXjf9GuaSKmmvClP95wTE/3yIejonmam8zyVp4tdXznS+pld55uTF/56SEru2uKRJWmPL5PRzx8qxQ87Lmhvt45xpv3a23c5F5X6f66aETW/q20XU0WR/kf1bjhMtTl8099zBSb5r/RmDEuFdsR+G+R2DiNrO7aFm/y3W21/NPi5I+lyOG2ES7H0Ze5oQERERERERERERERGhFydN8ouLUFfpVgK3NVmiP+73mCkhIIkD6XFhoo+R9UivDHVZGetH7a+hpyj0nhxAcA8P+363f4kkNyRZ4twfS5V47oslTCRN8qWj7PsLMyvjxhZm1hi3fcTIPc7/b64YYFxveZVd3SnpEnV+0tNEfGnWSOf/16ytMG4zymtk6mmSKJUCxKeE9J+7iV+/m6D3ZRRB6Za+3tMkSuW9qRJfqm7jUhmGKiC//hKmZIOzTcM17/XlZUxQysGpWAwxT1NPFADILXBTbPI+ySnw9knauceucPpq4++c+8pfeBEAcOQFFwEA/nXIbABA2Q57HdXl7r4sVRF68kWtktDTMXqvGHVsQbG3J5H+Gqk/E3lM+rNIeiYj0z0mln62zbNNeY1kWVNPHL8KLGMPkpbEP/dkeu2IoDRJUP+TuMcCkjDUe6lpB51UZEuFk0mo3hmx95bftpqVZdMz0mPbtM9lJIUi1/o95OB8Z2xhnn3f1p32v7t32ctIAgUAqgfYx7OWFvs4Vhj7fJRtqtWezjW7tX3WdAyTBIjs5zJftSdLWuy5yBi9elt9zeS1cSvRmz1zSZasVyrYjJ9NbdoCUfdj6gUk+7z0SbJa7cfkOAc3xOakUJxEWuz4oybJ5BxBzplkH5OxciwD3HOt8lL79yT5nDUlOoIe6whBfa2i9EEh6qnC7GtBY+SqADkFdqK1aHB/e5lYn6PN73/mjLVixwn99z31fKA77G/c94najynRaUp+6+L3P+6PYTBpQkREREREREREREREhF6cNNlfVo70jH7Obb0y3pQMSdTvJKgHiU4dqycOTBX9fkmDoP4kegrFtF41LaFSkxF6ekLSJJ+t3w3A29NE7Cu3qxfUPiKAmwJRSYqkILUKAJDXEP+ccmrta4LX5RYDAKqziuLGFgyo8izz3r6xAICpB9gVm2s3ur0aJPky4cBCz3zVNIpOT5gcefxE57F1r28wLiMJFL/XGTCnheRnJT/LoISI/r6M0hsnaH1h7zfNQb/d1Bjf66I38esdAgQnTESi/iRqtb6ejIhSkWPqPeK3Hql2bFLm5pceEWnK/c3apfhl/bVKSkPWI1WXsq1VL38CABjxtbnO2IEXfR0A8MEme5lhg+zv9CcfMw4AUFXlzvPzjfaxqbLMeyxRfy4Nzd5r++oJkwzlNcrOtctBc/OHAgC2f7I19hz90z07Pt4S95jwS3eY3iN+6R4RNAfT9vzeL6bUhyl1Y5pv0HMI7G3C66P2Kfo1dNWKbHn/ScIkqMJSvwa+6bjrbtO7rebY7iIpDcBNasj7PX+AnSyp3W8fIz751E29fG1mQ2wZ+3M7N8c+Lyjd5e6HeQX28aKlxX5sW1mFvf5YFbj6vGWbUimu92dR928nNaOlUYKSO/rrp/eKUdcjfVQaauITPGGqYp00S4gqdfYxoI5kqrDsaDl59u+UdUpKTvbnFnmfx5qGtMb299RUN4UvaZS02P7dFDtYqUmT7FjfAjlXkuOD9ETau9NN3wsnhZLgXMIe2/n7pb4tmS9RbxbcW8jeB/TkaEZOdvwysf2ncKB9/Gmsb44b4xwPY8ejKD0XOxMTJkRtZzrP1xPgEh7h5237YdKEiIiIiIiIiIiIiIgIvThp4tfTRAT1ZkjU28T0mL6+MAkWdUyiXhSmxyWlIH0xwvTS0HucmB4TkjBR+5ckSpgcPmCzc9+2+mEAgOFNdkV2fulHcdtMKbcTJi1l9r97X3zLfk6nTAcApBUXO2NzxhwCAPi0cKpnW1WtBfYcCnLj5vPplhbPfP36mKgkPSJJG8CbzFEFJUxEmDSJSOa9kWyvnTDvS32sX2Krucn/+vQ9WZSq+ijrEZL2UK+B71fRb0p/SAV2hp5OUSqyTYkSdZtqKkWuodtkWI+6PRPZjom8T4aOt/etvCK7Yqpivztm6w77O/x33rJTHgceah8/Bg6055eW5lZsZh5iP1ZTbb9Xd2y2qy/LS8ucMXofFf25NNS6r/m2jzYZ5y3r8CRYYq+b/vNRX8e4101PKinvAze9k7hKVF+fs72gtEeYRIjPY22tCmNVWd+iVxKrlZZ6OiHMdb5lf8nOtz/bWxrjewnItuTYJft1S7N7vOjX314+N98+7uzfZx94iofbx4/6Wjd58dZn9n2bt9rrkeuHV+93o3XZOfY50d6d3nMtSbeox0nZv9VjvPocVX7JLPV+v+sWu6+98ro61zVvjj3mrUhXEzF+P4+gin7Tc9DHMmFCHaEzExKS/hg82v6daOemnc6Yxrp6AEBT7F/ZL/UeagCQnuHt/SjnWRlZ8Ult+eyUbct+rn6mSqpFXov2qi5vS98B07L6z4rHBOrr/PZZOY4AgJyVyDGgdMteAMCebaUAtCseaOcOpiQZU59E3Zd+Pm3aT/V9WF1G+heFWQ8lh0kTIiIiIiIiIiIiIiIi9OKkiZ8wfUr8epqYKvr9qvODqv9N6w+TQvCj9zhR6ckSSUZImkK9zx1bG7ttVzdIukRVXmVXLErvkKJcuwpTUh8AcGTd655l6levAgB89MyauPUdcvY0z+1XFzwFAJj8rcnKvasBAAefaCdWmmLJExQdCAAYP7gfdBPG2M9BEibTpvZ3HtNTJ/G9XbyV6oD7WslrLf8GpXui8HvvqY+JMKmmtm470Xu3t/c08e0PYej1oI8NkzzQq4/1dSeai7Ntn54UANCERt/H9GULi4tic7C/T9+9ZadnrJrO0NMTxn4vsf+X98n/HGUfd2qq7Qrnt1aXOmNrq+x1l23fBQAoL7WrqqaeeCgAb9IkNfb//QfY1eW7ttnbbjb0Z9FJeqRO6b3idy1wGaOmaPTkTtB1xOMSIYZKcr3aNCMrz7Nszb7KuGWiVIAGpVJkPn6VpWHe5+prY3o/y3pSLf+UEnU/balK1Pt2qOsJUwWl986Q91W//vnOmLQm+/S1fr99viLHJjkO5Q/s74zdv7fCHhtLgow40D4O7a+wE5J1Ne6p8Jr/eM93ho6wz2mam9x5btlmH6Ma6xti8/VeM1h6h6hz119PmaeawNFTJCna9c5VUlUmY019RmSMkBFWU+KfadDP3+8xtfdKRiz5U1/dO1Oo1PvJ+1uOG7u32unzfoXxvxsISW9JrwK1p4kcJxrr7OOG9DiR24B7PXI5hqi9mXQpqSm+jyViOh7LfWH69PlhupTIn9/+YfpMld8tsnPtPif7Yv2Mkk2UseK842zevBk333wzXnnlFZSWlmL48OG46KKL8KMf/QiZmb3z7yPU+YJSm0EpFD9Mn0XT5740ISIiIiIiIiIiIkrG+vXr0draigceeAAHHHAA3n//fcyfPx81NTW44447unp6RNQOeu2XJvvLypGe4SYPEqVIgkSp6I+y3jAkybD1g0+d+2Sb+mOm1IOeQpGEiZqqkPskWSK9POS22tNEkiXjB9vVT5/ttscUZtrVhNK/RFX58EMAgP077LkMffIJ57EFt9rrqfqXlgD6hv0cf3G126ek4ZpvAQD6rf8YAJAuSZMYmQMAVDZ6UydfOsGuUF3zgVuhIamTlX//3H5OsR4uYt3rG5z/15MlQl5fU3InTApF3i/Sl0b9OYtE79kwiaWg92WUx/paTxMR1NvErxrPlCoIU7nn95ip/0mi+Xru0/ppmMbs3rrDOEaWlb4BQHxCQh6rLneTEXJfXpG9/2Vn2+tZ/95Oz3oBoL42dk3wdG9iZdVf7WTawBFDnLGFxXb19+Ch9r/jYz1OwjwXNS0jZJvNsYJP/eekvub6Y0VDB8U9b71/jLOsoSeMrKclzftzl5SLKe0RRKrTTNdA99t2so8Dwa+Nuh5WoPYsbak8Cqp08ntMTSnoCYnMHLvSsnpfVdz6pNo6Fd7jhqRLAHf/lmuDV5bZ68nMjq8ArKuxDwLDx9ifpZ+tt1MlzU3x71+pHNff281K75X4+aZ65qm+Dk76REuRBPUVkYr0vAEF0MnrJWPUivZEgn7+fo+pPze//ixE3VGYqsz62LlDnZKecis17WNBZk4WAPcYoJ4LyHEiI3Y8M+1HTvqkvt4zxtwrJPxz8ttng/Zz2VZQNaqTdGuKvyKB33xY1Uo9XWe8l+WY0tTo3bei7HPUOWbPno3Zs2c7t8ePH48NGzbg/vvv55cmFEmYY4rp+JNM7zB+FkfTa780ISIiIiIiIiIiIupolZWVGDAg+FLpDQ0NaGhwi1mqquILg4ioe+i1X5rkFxehrtKt8AnTp0S/L0wqRR8bJcliSgXo65OUgmmsPCYphSDSn8PU00RILxM9ceHtaWJXOHwGu2LziJF7fLfZ/PfnAABbV28CAPx1wT8BAK9evTrhfOV1uPhq93WcfMIfAABff+JLAIDRsZ4Hw84+AwCQN9RNnmyuPcJ+LrFEzNqNUiHvVml9usV+f+jPV5I2Rx4/Me4+P/K6Au5rGyVxEvRzFmF6muiPmZZNlJKKuj6g9/U08UuWmKr9/CroTff79SsJwy+9YNqWelvtraLeDqoE9ku1ePqfxN4DLbFtyXV31TFZsfsGDC4EANTUNMfut6sxG2rjK59bfJ5Ldbl7MtkgqZQ0u9oiN99enylxUvrZNs96nPSM8rOQ19bU70QfK9XgkrApL40/BspjYVJBQl43uV5x0HslKLHkt7xpmaB+Jzr9PRFlX6DuoaOqI2W9ch1/ua6/6Xq7eppC7g+qmpT3nGmMXnWZnWenTNVEmVRvpytpFgBorLf3FUm5AcDoA+1jyP5K+76WFknGuP0DmmPPT5Ibsi801tlzUI+B+nz0tJmpB1SaNk+V/jOU16Zw8IDYdurjlsktzPfMNwz956XOT/8ZmjjJxthtVrRRZ4tyvAszRt7vps+5NK0/iZ4QUcnykgBTk2n6cSIl1ZxmC6O99jljIkbr5Ram+l1/TdReUDw+UE/S1verfmwyrU8+b/d+bvd+1H+Xo+5r48aNWLp0acKUyeLFi3HjjTd20qyoO4tyTOHnZddInEcmIiIiIiLqRW699VbMmDEDubm56N+/f1dPh4iIiLqBa6+9FikpKYH/rV+/3rPM9u3bMXv2bJx33nmYP39+4PoXLVqEyspK579t27YFjieirtNrkyZhe5qEqcDXH1f5JUuSqdY33Rc0J78Eg9p3wy9hovY0kaSF3stEqD1NnGViCQ4xoXItACBjy0fOfS/f8AoAIO+dtwEAr16bOGES5N3X3gUAfOn+f9nz/Jl9/ciiT+wPrOoxM5yxYzPs1016m4wfbn8rW1TgVmpI0kRI0kZeM1NPE1MPE/V+wJs6UR9Tfy5+qZOgHjYi0ftUfSzZXiaJxuj397WeJlGWUZfTlw+qQmzLtlVyPX89wSH9RtSKbL/+GqZeHLn59vK1+2NV4LGqKEmXAEB+kb0vpaXZVdr9+tkfORmxCstt690eSDI/SWk0aYkJT/ojlgj59N2NAIDBY+zq8CGj3H2ieLi9L0kVeUUsERLU00VeC9l/arXECaBUg2s/F1NyReg/Q09yJd2bXGlorvOMNdEfGzhyqPP/5drz1JdRq9WaA9JLOv05BSWp9G1F2U53FOZ69z1BR1UnudWSlud+0+umpylMvT30eZqql/WEiqzPlOiwYhf/r9hlp1Ol/0dTg72sesza+N/NAIB+hfYxJj2WnpGxALB/b6VnvXVV9jaln4EkbdQx8pyCfgKS1HF6LMUq0E1pDyGvw54tdp+ooeNHOo/l5tvnP3u2lQZsNZixcjw2H9m/TcminqKxsRHnnXceSkpK8Jvf/Karp0PtqL3fj6bPPL99IOi8TY4J8pmqHjcl0dbde4Ton+n6fE3nv04/JyZSqY/Sz4nC/H4nY3r6eXRP9L3vfQ/z5s0LHDN+/Hjn/3fs2IGTTjoJM2bMwIMPPphw/VlZWcjKymrrNKmPCuobSe2v135pQkREREREZCKXxlixYkXXToSIiIi6jUGDBmHQoEGhxm7fvh0nnXQSpk6diuXLlyO1lxRbEZGtU740ue+++7BkyRKUlpZi8uTJWLp0KaZPn+47/g9/+AN+/OMfY/PmzTjwwANx22234bTTTou0Tb+eJrqgnia6MD1IgtYRlAyIIlHCRL1fUhPymJow0em9PUwJk6KClLj7AKAutxgA0Lz+Y3fsZLua85pr/+O7zWTccdObAIBfxQqmG8vs13pQ+SfOmKrCqZ5l1nwgVRzhK5zUZIiTxond1pM7Qf1KhDpGXbdpTJT3mmmMCEqc+L1nwySq2runSVccI4L4VekHJUP8+qCYBFUXSV8NqSjW+2KY+msIqUQKuvatjDGNdeauVTPr/TYAN2Ei/UncdbhVDi2x/9+zswIAsG+33Zdkf3l1bNkcZ6xUXcYlOVriX3upJnf7newHAAwa1t8Zc8Kx9v+vyrKX+295pec5qK+93q9DEiYyB/V1lm3L2KA0hd/P2fRzl3SPX+8Qv+UAc18VP0HValGq3kxj9Pt6S2Wc1doKJN+OqM/Q+5SYOL0uYvu1VEVFTfNEqabSU3Y1FfbxIlc71gJAwQC7/5L0LamptI8FatKkOfY89WSNkGM4EN8fSeYtyZgM5fgrx0C1xwEQnLTRX7/Ksoq4bZuSgm0hr1dmpvfYr74e+s+3t2DjVlKPVXpPDyuWFDGdM6akpMaWlzSJKaEV/jjYnfctU++0oN6ARL2NqS+YfJaH6W/p7t/hjwldmT7ry7Zv344TTzwRY8aMwR133IE9e9zfyYYOHRqwJFHy1F6L/DzteB3+NeiTTz6JhQsX4vrrr8e6deswefJkzJo1C7t3mxtrr1q1ChdeeCEuu+wyvP3225gzZw7mzJmD999/v6OnSkRdgMcIIiIi6u4WL16MwsJC579Ro0YlXoiIiIh6pZUrV2Ljxo14+eWXMXLkSAwbNsz5j4h6hxTLssylcu3k6KOPxlFHHYVf/OIXAIDW1laMGjUKV155Ja699tq48eeffz5qamrwl7/8xbnvmGOOwZQpU7Bs2bKE26uqqkJhYSGOnvW8p6eJnzA9TYL6n+jrSaZXShjq9iafMBmAmxoJSjno6ZMjj58IwO1fopJUivQ0MfYyifUGKa+2qyTOzX/B83jq2jfc/z/wYADAl+4e7Tu/tlj53a0AgM33PQIAyLo9/v1R1WqnXaS3ycr/uOGqCWPsCk+/3iYmer8SofY48RvTVn59eVRheuyE6e8Tdptyf1NjNV56bAYqKytRUFAQ5Wl1yjHCVB06atSo0McJv14NgFtpGKV6LkqvhzAVSbJNqXBW+084SY0073Vx9V4a+nIqGWN63iMOtN/7EybaabOyMjcZU7ajwrMep/+JKaWgpVsk7aHfD8Q/X3kuhcX9nTGjJtiR6qoKu6fJZ+996tm2ul6/SuxWp0+Lm4hRe8AASi8SJREU1MPE77n4jVHnpqeDgl4bP1F6mgQlq6L2K2luqsG//356UseIrhL1fKKv0lMiYaocpTI7SooiKDGRHuuTpCfzVJLicm7H9uvsPPf++upYkiy2n2fn5cbm4p4q799b4ZmfM4fYPmFKoLi9XNJ9x+ivhfQq2rfDPV/zS+aYXvOg19iPnlJU56mvR+YgvVzU1z6Z9wTQPseJa6+9FrfddlvgmI8++ggHH3ywc3vFihW4+uqrUVFREbhcW88lqOcK85mnH7vU/UntdaSO6Sv041FQH6tEetr5BM8lepegXgLyWIqWOguzPnU/0Pu+9bXjRXvgcYJ6E/0zNMyVKChYlGNEh16eq7GxEWvXrsWiRYuc+1JTUzFz5kysXm1uCr569WosXLjQc9+sWbPw7LPPGsczKk/Uc3XGMQKwq0Pl2uVERETUO0Vt3hoFG7cSEREREfUdHfqlSVlZGVpaWjBkyBDP/UOGDMH69euNy5SWlhrHl5aWGsf7/TE0v7gIGZnudaXDVOnrkqnsb6++JX5zABInTCRNAgDrXt8AwE2cSMJEUiXq+iRhIvaVx1cnfnGS3RegKNf+BvzTTLt3yPCmLQCAvS++5Ywdbfi/RKL8fJoL7Ery0afYvS9St6xyHts5ZoZn7Ge77ec2YYx7n54w0Zn6v0iiRH+so9IlQPxrEeW9FqX/SdBr7rcvyL/NTTUJ52LSGccIAFi0aJHnixapDvWTKN2hVhomc31mvVLRVC2gz8GUaNDp1883Ld/c4N1OQ3N8QkInCRQ1iSJV2ru27vL8O3qi+7rqyZKmRu/zzlZ7mmiPSVW4PCc1ESP9P5w+KLWxKm6lEj0tdUjsPruCa/Bou2pbqtXLdrjXnK3ZZx/X1F4EgFvhpSY68orsngfVsR4pfukcEz3tE2asKU0SJt3kl3YxvXf9UkiqKP1K2vua5fv27cOVV16JP//5z0hNTcVXvvIV3HvvvcjLy/Nd5sQTT8Rrr73mue9///d/QyVWqf3plZn6+1oqqID4RIMpnaEn6PQeQ2nKe1iOP/KvPOb0J1LSYzImPTYf6X+SrsxPjn2y7+s9CkyJGHkOUarU935uf6Zl57kVh75pwNic6qvdz2K/ZIipYlUe06vh1ecir63ei8H0maT3bmnpxCrZKM1biRJx+pXEjj9B1Z36+149zvX1SnG9OlZ6vADxvWCIeirZz60Iu7ssox5boiREiaj301Oafn0VqWN0SiP4jhT1j6FE1PewOpSo5/r617+OnTt3YuXKlWhqasIll1yCyy+/HI8//njgcvPnz8dNN93k3M7NzQ0YTUR9zdatW7Fv3z5s3boVLS0teOeddwAABxxwQOCXskRERERE1Pt16JcmxcXFSEtLw65duzz379q1C0OHDjUuM3To0Ejj/f4Yur+sHOkZ8RV5Yarro1T2J+qD4rdc2DGm+/WEid63RNIlgJuMkCSEpFDUvh1q6iSRVz60+xZIb5PCTLuqMb/0IwBAv1jqI1lhEiZC+qeUv/8JAKBx5qXOY4PK7fves75kz3ew/XzXbnQr26Vni56okddK7VOiPyavubx26s9E/3m0VdB7S+f3WFBKSh+TTP+TpkbvddDD6oxjRDKiJAL0Sn5TpZykJqSKWV+vaRl9vVLNG5RKCarSkwplSVPovTnU5fX5Oo8rVZOyvFRdyxy2b9zhjCkstlMZ+8vNCZjUNLfSMCPTfg9J4qRZm68pRaM/39x8tyK7qrLe89jZZ48EAEwYWAEA+MtbhzqPrX9vJwBg3659nvVkZGXE5uZWmVeWVRq3baJfA11eK1PaQ39OGYbrp/uNVfklTILeY37PJeg5hunT0h4++ugjvPDCC/jPf/6DadOmAQCWLl2K0047DXfccQeGDx/uu2xubm67Hhd6u7ZcY960jJoeSXRdbvXYoi7nN0a/T5aRRIiayJB+J411DbE52NVZso9ZSkmopCjStPe39O0A4nua6CkatUJUjqVSVS3bNj0X/bWR9arpEV3hkIEAgOp9/pemDdOLQX8ucludkdXk7dMQJjXT3atlf/KTn+Dhhx92bh9xxBEAgH/84x848cQTu2hW1B3IZ1yY97Ded0mWbaprihvT1xMn7rlJ/H1EPUFH7cPcD4hIl2yPQGpf8Z2s2lFmZiamTp2Kl19+2bmvtbUVL7/8MkpKSozLlJSUeMYDwMqVK33HE1HPxWMEEQVZvXo1+vfv73xhAgAzZ85Eamoq/v3vfwcu+9hjj6G4uBiHHXYYFi1ahNra2sDxDQ0NqKqq8vxHRL3XihUrYFlW3H/8woSINm/ejMsuuwzjxo1DTk4OJkyYgOuvvx6NjeEvy0pEREQ9W4dfnmvhwoWYO3cupk2bhunTp+Oee+5BTU0NLrnkEgDAxRdfjBEjRmDx4sUAgKuuugonnHAC7rzzTpx++ul44oknsGbNGjz44IORtptfXIS6SvekJkzvkTCpkaD7EtHXHzSH0YdOAABs/eBTz20gPsEgt00JB+m9ofc0UUlaQk2f2PfblzKRRAYATD3Ari4vr7WrLidUrgXg9hfJKC5zxq5bbF86ZfIF3wcAvPvau3HbToa8Fq8ueAoAcOIvzgUAtMbSJQCwLud4+39iT0lNmAg9YSLP39S3xC+NY+pl4pcwkZ9B0Jhk3p8qv54jpvRIFIkSWsn2NAG67hgRJFHCJOia1iZO7w2fsUHrC1Ptr19j31TFLIL6nujz1RUNda8TLymR7Fz7WCBpkvwid1/ZvbXUM79mrTeKei38NC1R4yRiYrfV10FPOcjtsu1uAqmyzN7HpJfJoLxsAMCkf/8SAFB66W+dsd9fdj4AYNVFPwIAfLLDfk5S8P7np9z0nqRPdOlKzxV5/fUeIZLOCdPDRk/5qGOFKUXSHpVqYdbhN+/2VlpaisGDB3vuS09Px4ABAwL7GH3ta1/DmDFjMHz4cLz33nv4wQ9+gA0bNuDpp5/2XcavR1pf0V7VS1IVJQkPAGisa/E8FrRNNz3if4qq9w4QkspQ90enl0lsfbmxY4skRrJy488PmhubY/ON9SsJOKYKp/+H0gdE77USJXkR5ufRUFOfcIykW/RKd1OyKMw2wyQw/ZIrRD1FmM9bIccW59iVFkvOKmPaex/o6fuW+jp21+eyfv16tLa24oEHHsABBxyA999/H/Pnz0dNTQ3uuOOOrp4e9TB+SXBTb4Luti8QUdeI65Wm3U+do8O/NDn//POxZ88e/OQnP0FpaSmmTJmCF154wWnkvHXrVqQqv7jNmDEDjz/+OK677jr88Ic/xIEHHohnn30Whx12WEdPlYi6AI8RRH3Ptddei9tuuy1wzEcffZT0+i+//HLn///nf/4Hw4YNw8knn4xPP/0UEyZMMC7DHmlEREQEALNnz8bs2bOd2+PHj8eGDRtw//3380sTIiKiPqJTGsEvWLAACxYsMD726quvxt133nnn4bzzzmvTNu2eJv0SjotSdW/qQRKlR0qYtItOxqjJBD2NIo+Z0gtuiqTaeFsl940/2FvVqyYyJLEhiZN1sBMdo7LtngDDt7h/5Coa0x8AsGiL/cerC3CF7/OM4qGj/gAAqLvhiwCAtGK7z4r6fav0WpFEjPRgWfnafmfMhAPtfgtrVm8HAEwrGeG5raZL5LUxpVAAc4pET/4E9T3xe4+o94VJQOljgt5jyfQ/ae+eJqIrjhE6U8W8X18IU+ohSoV/mGXC9K+Q+/T0iLqsVD/LtfX9ljGtd9AYu1/E3liCo1J5b0hFpaxfbleXVzpjpKK7SUuYSC8BNU0hldh+KReZvzom7jUy9FzZ8v5GAMDy3x8EAMj5+pUAgOnvfMkZ29hkjx187SwAwLQT7C/g/nndSgDACU+td8au/dcOz3z1VIn6mB/1ZynPS3/eYaq5w3B+PrFtqnPz20ay+0IU3/ve9zBv3rzAMePHj8fQoUOxe7c3Idnc3Ix9+/ZF6ldy9NFHAwA2btzo+6WJX480cqnpBH3f10kPEcC//4e8/9XUmbtMfPWlcHqYaP1KZP1qTxI9tVUbO/bJ/NWeIXovDtlf0pT0iFSVy/4jz63FUPUl80xz+iNEr6gO6jUjxw15HdSfhfua22kZaD+mjqp8V9fNxAl1R3qFt7OPIHGPL9P7XP8sbY4dP6KmkqPoTftSTzpOVFZWYsCA4N/fGxoa0NDgfv7xUp8EmI8hqu78vieizmM6zwi6igh1vE750oSIiIhIDBo0CIMGDUo4rqSkBBUVFVi7di2mTp0KAHjllVfQ2trqfBESxjvvvAMAGDZsWFLzJSIior5r48aNWLp0acKUSV+/1CcREVFv0mu/NNF7moRJhPilR/THTcIkBYLWo2/Tr+cF4O1vYqKmHqTnhtynJ05UkjCRvidfmjXSXqbKrfYsKrCrsSTBIQozCwAAeYcc587zFLu/SWOZ/dz+ftiLAIDz/n2BMyZR0kd9rZ4+/SX7OT3+VwDA0CMPAADsmHKmve0G9zV7+3P7j3FFefa3suXVdrXXtKn9nTFr1lYAcJ+33uPExC9hYkqRBNETJrooCRHT2KD3sl9qJKj/SUf2NOkugqoA9Sp9taowmYSJftu0jtS0xEkTP6axNfsqPbdNz0WflyRMZC7qWP25SHpErRiX1IksrydMioYWO2Mbau1r8x945EQAwOcb7cRXBuxl1GSMns5IVPEOAJ+98zEAYHGZnU4oHj7eeaxsh/1+PuN7rwIAdg+yKwRPnvIoAODQCW6/pE2b7OW3vB+r8JbEidpXpCU4haG+dnoPF1nWVHmvM/UV0X9Wel8V9TXyew8Y348+12Ju7+pZ3SGHHILZs2dj/vz5WLZsGZqamrBgwQJccMEFGD7cTkJt374dJ598Mh555BFMnz4dn376KR5//HGcdtppGDhwIN577z1897vfxfHHH4/DDz+8Q+fb26mVkH7X1TVVS+qVlZLWUNMoOkl7mKqP5f+kV0pmTpZnfWq6RKrJ9fW5c3H7okjFubuM3dtEkmvqffpzC+rP0tKcYlxG5VdlGvR6useL8L1SgrSl0lv9zNJTN6ygpe5A3t8pKbH9p9Xeb6zW+DFh9ke/Hk2sCE1OZx0nwl4e9OCDD3Zub9++HbNnz8Z5552H+fPnBy7LS32SMFWM6+cZREQq02ehfl9HJlkpXq/90oSIiIh6vsceewwLFizAySefjNTUVHzlK1/Bz3/+c+fxpqYmbNiwAbW1tQCAzMxMvPTSS7jnnntQU1ODUaNG4Stf+Qquu+66rnoKRERE1A2EvTyo2LFjB0466STMmDEDDz74YML181KfREREvUev/dJE72mSqLpeFaZ3hF9vhyj9SoLSKEGCUij649KDQxIn+m3ATUYUFecCcJMXksSQ3h8A8OkWuyJ5whjvNfvH9o+fR+qBdoVO9oH27c33PQIAuBNvuct992IAwFtDvgLA7Y0yqNyu7P7vty51xm6qtDcy+pTpAICa484G4CZMqrPchIckTD7bIRUedjXHp5+41fbyfMvLauMnD2+qRO8Fo/8MTD1NopD00NYPPgUQ/H4Ieu/6vf+iJFeCevf43W5rT5PuIKjXg6lKP+6xJJIgpt4RfnMQGco8G5rrjOvxpB585hXUM0NP1sjzVvuKSCW3m2hA3Fyk8liu5y/ry8qV5Ilb4Z1fZO9jOzeVetbrXLPf0CdET+Pot9XnIvMqL90DwNufReb36P2rAbgJmOcOsPvmfLHI/SwpLrYrPfR+L6Zt6v0anOevvI6SoNF7zAQlgfTHwrz3wozxS5MELd8ZlS4DBgzA448/7vv42LFjYVluxd6oUaPw2muvdchcyNWWqmCpsAxah17FbeqnIvuSpEiycu3b0lNAfUxfnzGh5vMWVpMrznIJ5gu4zy89lmaRlIrcr6Zc/JI7pm34jTFVtco2c/vnA4hPHZrmKyQRBMQfi/S5tDTFp138KvGJOkqY95zpvZoMZ/+WFG1sX2PVZ/cW9vKggJ0wOemkkzB16lQsX74cqT79KIhUps9q9z5vwoSfi0QUFc8zOlev/dKEiIiIiIiIiCiK7du348QTT8SYMWNwxx13YM+ePc5jQ4cO7cKZERERUWfptV+aJNPTJFF/iSiV/UHCLBNlvUE9NPSEiSQljjx+ojNm3esbAACfxW5LqkKSGGo6Q02dqCob7UrsSkxy7hs1xp7XsC2rAABjr7BTJa2frHfGSPpkwvA/AwD277BTGpXD7WUPOXuaMza7ZIY9ZughANxkybZ6u7HvZ1tznbGSNHFux3qxeFIzseclz1N6uejPH3BfI2HqZZIM+fnKesL0u5ExQf1zgnrF+K0vyvtSv90bepoECdPvJMzyTvIglhAJU9GvV/83GZIHYZIrUfitx9RnQ8bqqRLArc6WOcttScvs3b47bn0t+vM3rFfm0W+AvT8XFvcHAFSWVThjMjIzPcvJeuv2V3vmBMT3/ZD0SFps23/Z7/ZdGD2uf2ybdh+n1ha7QqxWSYpI/wM9YaLPH/B//0S5JnqolJRhO8n045FlWOFCQn9/y3tQTVHoaY+gfiV+/U8yc7Kd+/RjkfQyCdNPxUlGONcXj0+w6PMzJb7k+cm+ahnW58w3dkzIH9gfgPvZGbXiPVFFatB1kGsr9vsu55dgCUokhknEhOk3RdQenH4lsX4Bps+oMAmtZOgJss7q+UUda+XKldi4cSM2btyIkSNHeh5T061EuqDPYv13LCv4Y52IiLoYM6ZERERERERERADmzZsHy7KM/xEREVHf0GuTJrowvUf8+jaE6XuiS7ZfiZAeF1GSDKaxkohQe5gAbqoEcFMoOr9eH0B8b5PyWrvhXVGuW5Fd1WpXYleNmg0AGN60BQCQU+BeR3bk1OMAAKlr3wAADDz7YN9tNseW+8iy0yyFrf7phvJqqeKwT2ylP4uaHvFLmEgaR+1por9G8liYxImMkX4lQLT3j98yQWmSoLF+aZQwKZXe3NPEVFHr1+PBVD0Yph+EKamhry9RhWLQ2DA9PUzr8Vtm6HhvZV3pZ58nXD4wCRObn1RdS/8BlbxGOQV5nrEqv9coTXn+0i+lobYeAJCbb6fhqssrPXNR/1+qoWW9lWX2fl0fWwcAfL5xOwD3/ZJXVOj7vGWefumPMM9JreKXhI7+mqgpnOYGGJm2GeZ9nWhsZ/Q0oa4Trj9As3FZU4rC1MsDcFMfQWOkghwABgy3zwdqKu3PYr3PSJhrhOtpCCA+EWFKjwT18PDbdmaOfY7UHHutgnqTJOpbkuxYSeyYPuui9EjxS9iomDChzibvw7ZWbSfaF9TjhRyT9H2Kn4VEpHPScCnexC0REXVvTJoQERERERERERERERGhFydN9peVIz2jn3Pbr3o+2T4lfqkUYUqwRKGmEhLNJUwaJajvSSJqOmNfuV0VMaDIrjSUxIncLipQ+4p40yfS76Sw0E2IFKRW2f8z80DjtqVfCQAUZsaWixV0SR+Vz3bn6ouhvMobnVafg5CEyfiDB3tu64kTID6poydM1NdX/3mY+pUkeo8F9TbRe5oEjQnz3ouSLPFbtif3NAmqwG9LJb5pG2HW57cNSRyolbuSxqiL9dOIkpaRfiBqOkNSGDJ2x8dbjHMwzdepLFbm78xZXk+t6rhO6QMiz0VPmJgqlvX+LqbeKPLY4V+w02sZGfZ6yneV+T4Xmc+gMcNjc7ATJtIHxbR+ec0ylPXJYzLnoF4zifrQqM9b5qcvY0q5OMuH6HeTqI9O0FhW1PZuetLClDwIk3IQst/pPQBUsg3Zp5pj1ZhqUk/+32q1P+uDEg16QkJSLXr/EtMcgp6jX98OU+JPT80EvWb6Y6Z+C1Fee70vi/4zCFpPUK+ZIPJaBKVbiLqLcPtRStx9fik7IiJdUD819XEiIupemDQhIiIiIiIiIiIiIiJCL06aANEr8f16mQRV2wclTMLMx29e8m+Ynhm6qKkSSVHIcpK0EObeJnZyQxImzlgl4VEUW430OzGpRD/PGEmlSKpEXTZoPfq2JRETN0Z5Lm6ipFYbE19Vnug1jfLzaS9BCZGg967fY0Fjw6y3pwpTKe9XiW98LM3cx0JfLuz6nPsNldSSPAiTgNHV7LMTEqbEhX6f9MxQK731MfJ8s/q5fUqatPv0niYmQY/p9Nckw/Bc3vvnes/tFiel4u7n+nKSMGkxVI7LWHn+8pqY+tUMP2gMADcJYxojr408FtR7RrYZ5frpsr4w70s9YRUkTPqK+pYwVZN+iQN1Wel1JO+xltgxQVILQesJWreeKAlKmEShpypMCY66Ku8Y077s15/ElPYI08vEb0yy1fHOerQkjek1c1M8rMSnnsVvv2EfAiJqT0yWEBH1DEyaEBERERERERERERERoZcnTUxV8H7V9SZB1fSJqvRHHzohcB5+9+vrMyUY9PSJvoyaFHn3tXfj5qOvV0+YSNLC1NtD+n+ITz+pjI2NT558tsP+Tq6oQL8OsJIeqfZWLJZX2+uRfijq40V5dqXmmg/sfyeMsSs1pa+KmhiZcGChZ35B/J6v6bUfN2kUAP8eJ6bl5DG1T03Q+w4wJ6CS6X9iGhPl/aivW09h9QZ+1ftActX0sh5TesQ3RaLcn2ibUVIA6ni/lIupV4h+u9kOgHneD1m52QCAPVt2eNbfoqxDKsYLi4tiY+xjQkOtvcLy0j3OWEmlSJJD7wsi61Lvk20VxuZVqbwv9Z9D0OvWFGuUJNto0RIs6mtUWxWfRAO8yRvZdulnn3uek2kuYRIm+jzCPKcw6RG/fjdBc0jUg4V6F6m6DupNoff2EGoNpV+fDlOlpbzH0mPbdPocKUktv+XVpJtorGuIu880F7/56GPi5ht73tJfJWiM3stF7XUiPRMk2SfzNs0pTIWq3o8mKMGiC/r5hKm0b4nw8ybqTvzeo/L5azpe8P1NRERE1DsxaUJERERERERERERERIRenjQxVdf79WhIdn1+1f9q2sAvlRKUNtDTCepYPcmgr0dNQeiJFVmvmoyQhIUsJ2kKPYGh+my9fY3+aSUjAKiJjty4sfti05VkiCRQAGD88BbPfdKLZNqhdqWlpEjU5QcUpcY9Zs/T3XaUhIlOXit5HdSxesJEXwaITwLJv+rPKejnq9/2e68F9eVJtKy+XNgxQdvuqfTqfSBaMkQXJgUQlG5JVPUflCIJmrfet6MlLXaNfXU7Wd751WmpCvXnLdvUe3Ko25bXtvQz73pkmYJi9z1XXW7vszn59vEmr8ibXJHH1TkXDS0GADQ1hL/GuMxbfT1kmxlZdtX33u277HnGkidqykVPmpj6veg/D3mtg36GQralv/ZAfF+SMO81qdI3rS+ZfiTsYdI3BfWmkOpqPV1g4leRrfYrqa2oit1n74+tht5COhkrx4swvTScZZTkhL5NEVhBHjCvMH1eRHps25ZlTmmoy/slX2R/B9zX0S9hoqZc9PSIaTuJUjissqfeTJJg0tsEcNN0fO8TERER9U5MmhAREREREREREREREaGXJ02S7WmSTN8Gv94mUenbDkqjmPqnAObUg+kx/T49YWKy7vUNnrF6TxO1r4je50SSIWrfE7c/iV2pOX54mud+dWx5lWXcpon+mCRjTKkZPWkjr5n6OuhJHZ36uvqlR0zjo/TYEcn044nSryTM+nqTKD1CwiQFwoyJMi/n+v6xZIRaAa3fZ+o3IdXZTo8QbS7Nhsv9y3ol9dBQWxc3RtYj/UCCth33nGL3Vyg9TeQ9ll9k74+1++t8ty3PRRIhpu3paZ7hB40BAFSX7/esAwCaGu3/r9vvPfblFRXEbUdNnfjNL1EfGZWeBJF/w6RIgt5r8q8pYZJImP4n1LsF9fBoC7+KbFPqLq53hrJ/62kJ5xiI+H3Ob5vpmfYpsJo6k+NCmMpxOcZI2qy50duvBHBfRz25ItTnKGOSqVqXZSRdEsSUsEkmLRL0HtG3wUp86unczz5+BhIRERH1FUyaEBERERERERERERERoZcnTVR+lfJR0iimsX7ri5pgSdTnxNS3Qu9XYuKXkDAlJoISJkLt85FoGTd1oqdQ4hMikkKRMZIUkR4npsf8bqvzkhTJ+IMHA3ATJ2Gfgy7otRaS/Aka69ffpr3ej0HrTZQaae9eQN1ZanpaUhX06lhZXu83YRrjpAC0ZEiylf2m6uyguSaSqvXnCNNLQNYvfUpUsh55LDU3tv5YOkNNSPi915JNOAwcMQSA26ckLc2uEZDeKGpiROap9wqpLrertvOKCt35pKV51qPP00Rfr0peCz0ZY3pdpQreb2xbBfbqSWPSpC8KkxBoS08LvSdSEDWtoSc4gvqq+PUVkf4nzQ3utiUhoT+noFSF20clvreSHGfqq2t8l9fnFUZbkhumefqtz3Psj/2/X3pEfY1kTJSeLkRERERERN0JkyZEREREREREREREETU0NGDKlClISUnBO++809XTIaJ20meSJnr1cpQkSJT+IkGV/VF6SETZdpixyaRRRFASQ5IcerLDPDY+YSLpEH15PUWi/r+aKDGtI+zchf78Ta+V/lhQr5gwPU380iNB78u29OMxpUeSSV8FjemJWptbgIyQ4xIISn349T0R6co19f3WE5gCiJDGSCbBItXGajpDKrylp4lfzxRAqcSW9IShV4rTRyVWeS5zkGXUimd9frJM0ZBi576iIYWeMZ+s+9hzW+1jIM+ltcWbBJHXqkWpcJfnmaalRtQq+EQ/B1MKSacnmMKsF4hPoQTxS0mZhFkf9T6m/hc6v8SBqbeHPlb6gISbi3vKqr8f9d4mKiclFXtMxlqtVtxYOS7ovYpMzyXMPtEUYb9pS2Iniig9TYJ+7rqgeTNhQkRERL3ZNddcg+HDh+Pdd9/t6qkQUTti0oSIiIiIiPqMzZs347LLLsO4ceOQk5ODCRMm4Prrr0djI78gJiIiovD+9re/4cUXX8Qdd9zR1VMhonbWZ5ImelV9Mr0jgvpChEkBCNMYv+Xktpps0JMMYfqVBKUp/FIUclvtY6InN/T0iPq43kckOIXifSxMaiRo/XpyZdOH2wD4p2lU8nxlGcD/tTH93JLpSxP0vonyXguTHvGbXzL9T3o6NeERRE9nqOkA/b4wiRC98tlUsayvx7R+/b4wKYMoaRQh6zOtN8xr6CQ5mr3Pt//QQc6YwmI7GVJdYe+75VX2v/JamZIhcp8kV/ZXVDlj6mvrAQBVZVqPlDRvXxXA7acgz7ug2LuPeMZKPxbtZ5hsr4+g1JG+bb9lPI8ZKu3bQ7K9ZajnkAQC4CYMTD1CEglKFbRXmkJfj56IMPXXcG4H9OLwS4YE9TQJ0pakRnsnT2R9UebU1vnI2DCJpc62fv16tLa24oEHHsABBxyA999/H/Pnz0dNTQ3/6EFERESh7Nq1C/Pnz8ezzz6L3Nz4K6uYNDQ0oKGhwbldVVUVMJqIuhKTJkRERNRt3XrrrZgxYwZyc3PRv3//UMtYloWf/OQnGDZsGHJycjBz5kx88sknHTtRIuoxZs+ejeXLl+OUU07B+PHjceaZZ+L//b//h6effrqrp0ZEREQ9gGVZmDdvHr71rW9h2rRpoZdbvHgxCgsLnf9GjRqVeCEi6hJ9JmniV8mvVtAn6u1gSob43Q7adlBFv9+yQWP1HhzqbX3bQb1NdJKqUBMXelJDUh5CTXuse30DADe5YUqPyHi/fiUmesJEqPMM2qZOT4+E6WkiwvSaMY1N1MskSiolaoIlSmrEbx/oLcmT5oZGpGckbmqSqCeJ6T5TGkXdrj5GF6ayP25eLfFJGEljtDT7p1p0skyY6/HL+vReJPo81Nt5RbFUSXml85gkQvxe66AEhbwf1e0d8IXDAAAbY5dakTSJzFMlj8nzrttvHzeCXrMMLdVj+nnryR8nnRIiKWIaE+Y9kVNgH1Nr9lV67g9aNq6HjWFsVyZMGhsbcd5556GkpAS/+c1vQi1z++234+c//zkefvhhjBs3Dj/+8Y8xa9YsfPjhh8jOzu7gGfcskiBISU1p1/WZEgmZOVkA3H0uKHmgr0ftQZIo7ZBMGgIIl6yR/ThKCidN+5wxHc/0OUsPl5am+L4vyaRP2ppYaUsSpqMScO2tsrISAwb4n9exMpSIiKj3u/baa3HbbbcFjvnoo4/w4osvYv/+/Vi0aFGk9S9atAgLFy50bldVVfGLE6Juqs98aUJEREQ9z4033ggAWLFiRajxlmXhnnvuwXXXXYezzjoLAPDII49gyJAhePbZZ3HBBRcYl+MfRIn6ro0bN2Lp0qWBl+ZavHixczwiIiKi3ul73/se5s2bFzhm/PjxeOWVV7B69WpkZWV5Hps2bRq+/vWv4+GHHzYum5WVFbcMEXVPfe5LkzDpEb+q/2STIWG23R5jwvTX8EtMmOh9PIIeC0pnSAJE7Y2ik1RKmJ4jkjAx9VwRek8TGWvqe5KoX0kQWUb6zAD+75+gn0uU92WYFEmi9ZvWEyaV0lsSJlEFVen7PRbUe0QfY0ophEm3+FHHNsFOEUi6oyVW8asnEVQt2hwkMZGmzLNJS09I5Xh6QO8RGRv0PgrzejrzTNPSPWnu/Db+dzOA+OcpSROZrzrnFi3VYvr5SJIjLp2RFp8a0se0tddMmDHyfPXeKGESRrqgtFR3tmnTJpSWlmLmzJnOfYWFhTj66KOxevVq3y9N+vofRKO+R/Q+FUHJA7mvsa7Bc3+YtEKUfhjyvldTKbI/h0lK+D0nSX0kS9Yn80uFtyeSiTyHMEkOmackeQDvMS6RKNuQY2BtrIdUmJ+hPNbefVpMwlaHHnzwwc7t7du3Y/bs2TjvvPMwf/583+VYGUpERNT7DRo0CIMGDUo47uc//zluueUW5/aOHTswa9YsPPnkkzj66KM7copE1En63JcmRERE1HuVlpYCwP9n797jm6zv/o+/W2gDBdpSaCloOU8QBSmgtei0CBOUOZmMzYkiTkEY6ARulO5GEBgWBZVbRNHdCjhB1N/tYR6mHHWbVHBoZSh0A8EiUFBZW6CQnq7fHyEhSZM0SXPu6/l45CG58r2ufK60+Zjm+/1cH3Xo0MFhe4cOHWyPucIXokD083Z1qNXhw4c1ZMgQDR48WM8995zH/VgZCgAArDp37uxwv3Vry8KSHj166Pzzzw9HSAACrMlOmnjTm8FT7wh3lQHe9CvxVI3iTZVC54t6SKpf3eFuu1S/IsI61tU2T1Uo7qpPPFWIWCtBrBUnrsY6V4u46kXi/NzOx7U/hnWb87nYH9ddLxhX8TVUhWL/enrT96Sh6hFvKpVcbfem74m7GLz5vYy1ShN3PUWce1E4Vxy46vXg/JinfiXesMbgTY8L51hccdX3wx3nPh3W+zV2i8Sd43PVK8S5N4o3PVKcXz9TUst6+9peE6ceLvartk9XOOYQa7zW1df2Y52rRJx7j9i/rtbXwnkVtze9XJzP0dUYXyo6vOlT4imWhp4rmNUl/qwGD7am+oWocxWA/TYr+8esnCs/GtNnw7nnh1T/fe7JuQqRGq9jcTXG3Tn5U6llz/r6eRPfubGWWOxfG3dVM66O56qqzp43x3X1HNYKE+ft9sdzVxUUzAoTK29Xh0qWCpMhQ4Zo4MCBWrlypeJd/J4DAAAAaJqa7KQJAAAID19Xg/siMzNTknT06FF17NjRtv3o0aPq37+/X8cEEFsOHTqkvLw8denSRUuWLNF3331ne8yaQwAAALzVtWtXGYbR8EAAUaPJTpp46t/gTR8Hdyvv3fWU8PYxdxUI9qyVIc6PudruriLGvhrC1TbJu/4nzo+5qvZwPp6r/d1Vedgfw3psa7WI9b/OFSeu4nH1mPW1sa8SkVy/jq4qdOyP4Wqbp74invqSuLrv6fieKqBc8aWfii/HjSWNXVXszN2KfVdVH87VHZ4kOFVPeFMJ4w1vqmas8TV3qiZxxfn8XcXZKi3F4bhW5srTLo/hLi7n53SuQnF1HF+qhZxXbXtTIWJ9zNoLwP61cq5m8ue4nqpHPFVJhZMvq8F91a1bN2VmZmrTpk22SZKKigpt27ZNkydPDspzxrpgVwh406/E3/1D0UejIb48t/NY+0ob56oga1Wc9fx96WPi6Tn9ec28qQiKJBs2bNDevXu1d+/eepfQ4AsPAAAAANShAwCAiFVSUqKioiKVlJSotrZWRUVFKioq0smT5y7B1rt3b73xxhuSpLi4ON133336wx/+oD//+c/65z//qXHjxqlTp04aNWpUmM4CQCQZP368DMNweQMAAACAJltp4g1P1QAN9YzwpjrF1Yp+dxUG3lQp+NJPxVMPDuf+J/bHcK4+cb7vqReJp6oPdz1DLrn6EtsY67Hd9SJxdTznPir2Y931cLE+p32c1rHOr4mnn6Gnn3NDYz39DN0dw3k/dzG4qxqJ1b4lntTV1Cr+7GXYXa3W92V1fr1KgWYN947wVD3hzXNXO1V7eHoOb87B1svj7Iph594u9q+Rp+e0slZWnDpe7rBPM2u/krbn+qA491xxjtf++dxVZzici9NxbNf3r3G/EttdLxP783Y+rvPxJfdVN9W23jDnHm+o74A955+HlT+/n9Fkzpw5Wr16te1+dna2JGnLli3Ky8uTJBUXF6u8vNw25v7779epU6c0ceJElZWV6corr9T777+vFi1ahDT2aBKKSoxwVHs05jkDVaXSmON42qcxFTpx8XF2//Y/Plf7nusx07gKIgAAAAAIFyZNAABAxFq1apVWrVrlcYzz6vC4uDjNnz9f8+fPD2JkAAAAAAAgFjX5SRNPFRzeVAq46wfhTWWINxUhrioa3B3Hm7Hu+pfYsz7WUIVDQ5yrO6yVG/Z9T6zVI23bt3a5r33lirv+Ka4qV9xVo9j3THHXG+aLj75wud1+W2OqSOx5cxx3Y32pWPL0++hqTENjY5EvvS684aoniXOPDF/6VXiKz5vjuevXYb+PuwoGa8XI6YqT9R6zVj8491eRzlWYWJ/LWmFirbiwr8hwd57WSoxaD1U53py3c/WH9ZzsH7NW2Hg6rinJEo/9a+HMXTyufifcVaV4Oifra+6pT4s3FSzuzjOaq1KAxnCumghUZUygK2wCcTyjzrD7t2OvFOf77rbZs98ebf1NAAAAAMAZPU0AhM3x48c1duxYJScnKzU1VXfeeadDnwJX8vLyFBcX53CbNGlSiCIGAAAAAAAAEMuafKWJNxUc3qyy96UCwZseKZ6OZ/23fdWEt2M9VZh4M8ZaneHcD8TTvu4qTux5cxxnrvqnuHtOV9z9jLyprvClksObCpPGVBZ5U0XiLtaG9gl2hcnYsWN15MgRbdiwQdXV1brjjjs0ceJErV271uN+EyZMcLjsTlJSkl/P39yUKPmwYNeXygZvKldcjXXXG8WbqhQr+/4aVrU1rqsSXPVyceapqsLWX6S2mdsx1uoMc6Vj1YP98zm/Js5x17ioSvH02lgfc65usT23h5XQniovnM/BGourShjnMZ7idNU/xXkfV5Uq7p7LWmHiT5UU0FSFo+dKuLjqN2I9f+v/Q6pOm92O8aYPinNVSlN6fQEAAABEtyY/aQIgPHbv3q33339fn376qQYNGiRJWrZsma6//notWbJEnTp1crtvUlKSMjMzQxUqAAAAAAAAgCaiyU+aeLNK35sV/d6s/velgsWb41mrKLypbnHu3+HpeFbWag3rvlL9CpPGViI4V4R4U2Hi3MvEVVWJu34l3lTCWPnSg8SXyhBPj/lSIeJNxZI3fUp8iSGQCgsLlZqaapswkaRhw4YpPj5e27Zt089//nO3+65Zs0YvvfSSMjMzdcMNN+jBBx/0WG1iNptlNp9bMVtRUSHJsnK/eUJCg7H6UlniqmLAXeWCq+oK57HW6gLnCgRPcXnqY2Hth+GqAsNdlYOragXrcZzjtGfbr9Z95YYz594onip2PFXNOFfAuKvgkdz3FXF1XHex25+jdbyrPi/Ox3PeZj2+rZdLM7sqJDc9TOx/Fu6qUaxjPP6cqEYBGuRNhUW0s+YsV/1L3PU08TQmll8rAAAAALGpyU+aAAiP0tJSZWRkOGxr3ry50tLSVFpa6na/W265RV26dFGnTp20c+dOPfDAAyouLtbrr7/udp+CggLNmzcvYLEDAAAAAAAAiE1MmtjxZ4V9oHpINFR54KnqwZ84rRUjUsNVGfbbvanGcOaugsXVY95w7oni6hjOFTG+xOfqNXJ+LTz9XBrT08T5GN7s40vPHW+eu7FmzZqlRx55xOOY3bt3+338iRMn2v7dt29fdezYUUOHDtW+ffvUo0cPl/vk5+dr+vTptvsVFRXKyrJULPmzyt5VpYAzl/0rvKhKcRePq+N5U+3hzFMPkoZ6rriq5LBWRNSY68dkHVOtKrfHsbJWflh7gzifm0MlRzPHChZXPVPcvY7W4zqMPXs859fP1TF8+fmYa9xX/Fi5+5m5qn7xpsrF3T7e9NgBok1jqj783TfUVRP2VRuhfm5XzxfK1xoAAAAAwoVJEwABNWPGDI0fP97jmO7duyszM1PHjh1z2F5TU6Pjx4/71K8kJydHkrR37163kyYmk0kmk8nrYwIAAAAAAABompg0sePLyntvqkcaOr6vfTAaGusuNvuxrvqXOD+H8/EbWxnizJtjuOsz4io+f5/D3fFcvUYNVYJ408PG354mDf1u+LKPp/0CVXGSnp6u9PT0Bsfl5uaqrKxMO3bs0MCBAyVJmzdvVl1dnW0ixBtFRUWSpI4dO/oVrzc9SNztY7+fNxUrbisFfDieq2oPX2LwJU7rWFf9MKzbnCtDXPX2sO8fYn/ffqy7igtvqiCsVSMJdtUpzpUazufg6nV0x5v+NPaVMe56uHjqK+IuTm/jcveYp98fT1UoQDRwrlzwpaIhWqoeoiVOe9EYMwAAAADYa7ibIwAEwYUXXqgRI0ZowoQJ2r59uz7++GNNnTpVN998szp16iRJOnTokHr37q3t27d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"text/plain": [
"<Figure size 2000x1200 with 24 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"'\\n## Show some results\\nparticles_in_time = utils.to_particles_3d(sol)\\n\\n# First show the evolution of the particles in a series of 2D heatmaps:\\n# reduce the font size\\nfig, axs = plt.subplots(4, 6, figsize=(20, 12))\\nfig.suptitle(\"Particle evolution (top view)\")\\n\\nprint(t_range.shape)\\n# make sure we have enough time steps to show\\ndiff = axs.size - particles_in_time.shape[0]\\nif diff > 0:\\n logger.debug(f\"Adding dummy time steps: {diff=} -> {axs.size=}\")\\n plot_t_range = np.concatenate([t_range, np.zeros(diff)])\\n plot_particles_in_time = particles_in_time\\nelif diff < 0:\\n logger.debug(f\"Too many steps to plot - reducing: {particles_in_time.shape[0]} -> {axs.size}\")\\n # skip some of the time steps\\n plot_t_range = []\\n plot_particles_in_time = []\\n for i in range(axs.size):\\n idx = int(i / axs.size * particles_in_time.shape[0])\\n # make sure we have the first and last time step are included\\n if i == 0:\\n idx = 0\\n elif i == axs.size - 1:\\n idx = particles_in_time.shape[0] - 1\\n\\n plot_t_range.append(t_range[idx])\\n plot_particles_in_time.append(particles_in_time[idx])\\n# othwerwise, we have exactly the right number of time steps\\n\\nfor p, t, a in zip(plot_particles_in_time, plot_t_range, axs.flat):\\n a.set_title(f\"t={t:.2g}\")\\n # remove nan values\\n print(np.sum(np.isnan(p)))\\n p = p[~np.isnan(p).any(axis=1)]\\n print(p.shape)\\n utils.particles_plot_2d(p, ax=a)\\n\\nplt.show()\\n'"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"particles_in_time = utils.to_particles_3d(sol)\n",
"\n",
"# First show the evolution of the particles in a series of 2D heatmaps:\n",
"utils.particles_plot_2d_multiframe(particles_in_time, t_range, f\"Particle evolution (top view) [mesh]\")\n",
"\n",
"\"\"\"\n",
"## Show some results\n",
"particles_in_time = utils.to_particles_3d(sol)\n",
"\n",
"# First show the evolution of the particles in a series of 2D heatmaps:\n",
"# reduce the font size\n",
"fig, axs = plt.subplots(4, 6, figsize=(20, 12))\n",
"fig.suptitle(\"Particle evolution (top view)\")\n",
"\n",
"print(t_range.shape)\n",
"# make sure we have enough time steps to show\n",
"diff = axs.size - particles_in_time.shape[0]\n",
"if diff > 0:\n",
" logger.debug(f\"Adding dummy time steps: {diff=} -> {axs.size=}\")\n",
" plot_t_range = np.concatenate([t_range, np.zeros(diff)])\n",
" plot_particles_in_time = particles_in_time\n",
"elif diff < 0:\n",
" logger.debug(f\"Too many steps to plot - reducing: {particles_in_time.shape[0]} -> {axs.size}\")\n",
" # skip some of the time steps\n",
" plot_t_range = []\n",
" plot_particles_in_time = []\n",
" for i in range(axs.size):\n",
" idx = int(i / axs.size * particles_in_time.shape[0])\n",
" # make sure we have the first and last time step are included\n",
" if i == 0:\n",
" idx = 0\n",
" elif i == axs.size - 1:\n",
" idx = particles_in_time.shape[0] - 1\n",
"\n",
" plot_t_range.append(t_range[idx])\n",
" plot_particles_in_time.append(particles_in_time[idx])\n",
"# othwerwise, we have exactly the right number of time steps\n",
"\n",
"for p, t, a in zip(plot_particles_in_time, plot_t_range, axs.flat):\n",
" a.set_title(f\"t={t:.2g}\")\n",
" # remove nan values\n",
" print(np.sum(np.isnan(p)))\n",
" p = p[~np.isnan(p).any(axis=1)]\n",
" print(p.shape)\n",
" utils.particles_plot_2d(p, ax=a)\n",
"\n",
"plt.show()\n",
"\"\"\""
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"tags": [
"plot_pm_solver_stability"
]
},
"outputs": [
{
"ename": "AttributeError",
"evalue": "module 'utils' has no attribute 'particles_plot_radial_evolution'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[0;32mIn[23], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mutils\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mparticles_plot_radial_evolution\u001b[49m(particles_in_time, t_range)\n\u001b[1;32m 2\u001b[0m utils\u001b[38;5;241m.\u001b[39mparticles_plot_orbits(particles_in_time, t_range)\n",
"\u001b[0;31mAttributeError\u001b[0m: module 'utils' has no attribute 'particles_plot_radial_evolution'"
]
}
],
"source": [
"utils.particles_plot_radial_evolution(particles_in_time, t_range)\n",
"utils.particles_plot_orbits(particles_in_time, t_range)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"import inspect"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"tags": [
"function_runge_kutta"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"def runge_kutta_4(y: np.ndarray, t: float, f: callable, dt: float):\n",
" \"\"\"\n",
" Runge-Kutta 4th order integrator.\n",
" \"\"\"\n",
" k1 = f(y, t)\n",
" k2 = f(y + k1/2 * dt, t + dt/2)\n",
" k3 = f(y + k2/2 * dt, t + dt/2)\n",
" k4 = f(y + k3 * dt, t + dt)\n",
" return y + (k1 + 2*k2 + 2*k3 + k4)/6 * dt\n",
"\n"
]
}
],
"source": [
"print(inspect.getsource(utils.runge_kutta_4))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"tags": [
"function_mesh_force"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"def mesh__forces(particles: np.ndarray, G: float = 1, n_grid: int = 50, mapping: callable = None) -> np.ndarray:\n",
" \"\"\"\n",
" Computes the gravitational force acting on a set of particles using a mesh-based approach.\n",
" Assumes that the particles array has the following columns: x, y, z, m. \n",
" \"\"\"\n",
" max_pos = np.max(np.abs(particles[:, :3]))\n",
" mesh, axis, spacing = create_mesh(-max_pos, max_pos, n_grid)\n",
"\n",
" fill_mesh(particles, mesh, axis, mapping)\n",
" # we want a density mesh:\n",
" cell_volume = spacing**3\n",
" rho = mesh / cell_volume\n",
"\n",
" # compute the potential and its gradient\n",
" phi = mesh_poisson(rho, G, spacing)\n",
"\n",
" # get the acceleration from finite differences of the potential\n",
" ax, ay, az = np.gradient(phi, spacing)\n",
" a_vec = - np.stack([ax, ay, az], axis=0)\n",
"\n",
" # compute the particle forces from the mesh potential\n",
" forces = np.zeros_like(particles[:, :3])\n",
" ijks = np.digitize(particles[:, :3], axis) - 1\n",
"\n",
" for i in range(particles.shape[0]):\n",
" m = particles[i, 3]\n",
" idx = ijks[i]\n",
" forces[i] = m * a_vec[..., idx[0], idx[1], idx[2]]\n",
"\n",
" return forces\n",
"\n",
"\n",
"def mesh__poisson(mesh: np.ndarray, G: float, spacing: float) -> np.ndarray:\n",
" \"\"\"\n",
" Solves the poisson equation for the mesh using the FFT.\n",
" Returns the the potential - phi\n",
" \"\"\"\n",
" rho_hat = fft.fftn(mesh)\n",
" \n",
" # we also need the wave numbers\n",
" k = fft.fftfreq(mesh.shape[0], spacing) * (2 * np.pi)\n",
" # assuming the grid is cubic\n",
" kx, ky, kz = np.meshgrid(k, k, k)\n",
" k_sr = kx**2 + ky**2 + kz**2\n",
"\n",
" k_sr[k_sr == 0] = np.inf\n",
"\n",
" phi_hat = - 4 * np.pi * G * rho_hat / k_sr\n",
" return np.real(fft.ifftn(phi_hat))\n",
"\n"
]
}
],
"source": [
"print(inspect.getsource(utils.mesh__forces))\n",
"print()\n",
"print(inspect.getsource(utils.mesh__poisson))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "projects-X-9bmgL6",
"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": "3.13.1"
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"nbformat": 4,
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