{ "cells": [ { "cell_type": "markdown", "id": "7fb27b941602401d91542211134fc71a", "metadata": { "papermill": { "duration": 0.002949, "end_time": "2026-06-30T01:24:19.337569+00:00", "exception": false, "start_time": "2026-06-30T01:24:19.334620+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Potential Wrappers\n", "\n", "galpy's wrapper potentials modify existing potentials by adding time dependence,\n", "rotation, tilting, or amplitude modulation. This notebook demonstrates the most\n", "commonly used wrappers.\n", "\n", "For basic potential usage, see the [Introduction to Potentials](introduction.ipynb)." ] }, { "cell_type": "code", "execution_count": 1, "id": "acae54e37e7d407bbb7b55eff062a284", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:24:19.344723Z", "iopub.status.busy": "2026-06-30T01:24:19.344459Z", "iopub.status.idle": "2026-06-30T01:24:21.619662Z", "shell.execute_reply": "2026-06-30T01:24:21.618835Z" }, "papermill": { "duration": 2.279685, "end_time": "2026-06-30T01:24:21.620514+00:00", "exception": false, "start_time": "2026-06-30T01:24:19.340829+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "from matplotlib import pyplot as plt\n", "from galpy import potential\n", "from galpy.potential import (\n", " MWPotential2014,\n", " SoftenedNeedleBarPotential,\n", " DehnenSmoothWrapperPotential,\n", " SolidBodyRotationWrapperPotential,\n", " RotateAndTiltWrapperPotential,\n", " GaussianAmplitudeWrapperPotential,\n", " TimeDependentAmplitudeWrapperPotential,\n", " LogarithmicHaloPotential,\n", " MiyamotoNagaiPotential,\n", ")\n", "from galpy.orbit import Orbit\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n", "warnings.filterwarnings(\"ignore\", category=UserWarning)" ] }, { "cell_type": "markdown", "id": "9a63283cbaf04dbcab1f6479b197f3a8", "metadata": { "papermill": { "duration": 0.001952, "end_time": "2026-06-30T01:24:21.624749+00:00", "exception": false, "start_time": "2026-06-30T01:24:21.622797+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Growing a bar with DehnenSmoothWrapperPotential\n", "\n", "A common use case is to smoothly grow a bar potential over some time period.\n", "`DehnenSmoothWrapperPotential` multiplies a potential by a smooth function that\n", "transitions from 0 to 1. This can be used to smoothly grow any potential from zero to its full amplitude. Use `decay=True` to instead smoothly turn a potential off." ] }, { "cell_type": "code", "execution_count": 2, "id": "8dd0d8092fe74a7c96281538738b07e2", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:24:21.630319Z", "iopub.status.busy": "2026-06-30T01:24:21.629915Z", "iopub.status.idle": "2026-06-30T01:24:21.921738Z", "shell.execute_reply": "2026-06-30T01:24:21.920559Z" }, "papermill": { "duration": 0.295602, "end_time": "2026-06-30T01:24:21.922412+00:00", "exception": false, "start_time": "2026-06-30T01:24:21.626810+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a bar potential (SoftenedNeedleBarPotential does not have built-in smoothing)\n", "bar = SoftenedNeedleBarPotential(normalize=0.05, omegab=1.8)\n", "\n", "# Wrap it with a smooth growth function\n", "bar_grown = DehnenSmoothWrapperPotential(pot=bar, tform=-6.0, tsteady=6.0)\n", "\n", "# Show the amplitude over time\n", "ts = numpy.linspace(-8.0, 3.0, 201)\n", "amps = [bar_grown(1.0, 0.0, phi=0.0, t=t) for t in ts]\n", "plt.plot(ts, amps)\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi(R=1, z=0, \\phi=0)$\")\n", "plt.title(\"Bar potential growing over time\");" ] }, { "cell_type": "markdown", "id": "72eea5119410473aa328ad9291626812", "metadata": { "papermill": { "duration": 0.002142, "end_time": "2026-06-30T01:24:21.927033+00:00", "exception": false, "start_time": "2026-06-30T01:24:21.924891+00:00", "status": "completed" }, "tags": [] }, "source": [ "## SolidBodyRotationWrapperPotential\n", "\n", "This wrapper rotates a potential at a constant angular velocity. This is useful\n", "for adding a rotating bar to an axisymmetric background." ] }, { "cell_type": "code", "execution_count": 3, "id": "8edb47106e1a46a883d545849b8ab81b", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:24:21.932600Z", "iopub.status.busy": "2026-06-30T01:24:21.932339Z", "iopub.status.idle": "2026-06-30T01:24:22.086247Z", "shell.execute_reply": "2026-06-30T01:24:22.085010Z" }, "papermill": { "duration": 0.157694, "end_time": "2026-06-30T01:24:22.086954+00:00", "exception": false, "start_time": "2026-06-30T01:24:21.929260+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A triaxial logarithmic halo potential, made to rotate\n", "lp = LogarithmicHaloPotential(normalize=1.0, b=0.8, q=0.9)\n", "lp_rot = SolidBodyRotationWrapperPotential(pot=lp, omega=1.5)\n", "\n", "# Evaluate at different times to see the rotation\n", "phis = numpy.linspace(0, 2 * numpy.pi, 100)\n", "for t in [0.0, 0.5, 1.0]:\n", " vals = [lp_rot(1.0, 0.0, phi=phi, t=t) for phi in phis]\n", " plt.plot(phis, vals, label=f\"t = {t:.1f}\")\n", "plt.xlabel(r\"$\\phi$\")\n", "plt.ylabel(r\"$\\Phi$\")\n", "plt.legend()\n", "plt.title(\"Rotating potential at different times\");" ] }, { "cell_type": "markdown", "id": "10185d26023b46108eb7d9f57d49d2b3", "metadata": { "papermill": { "duration": 0.002603, "end_time": "2026-06-30T01:24:22.093075+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.090472+00:00", "status": "completed" }, "tags": [] }, "source": [ "## RotateAndTiltWrapperPotential\n", "\n", "This wrapper rotates and tilts a potential with respect to the default\n", "coordinate system. This is useful for, e.g., modeling a tilted dark-matter halo." ] }, { "cell_type": "code", "execution_count": 4, "id": "8763a12b2bbd4a93a75aff182afb95dc", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:24:22.099423Z", "iopub.status.busy": "2026-06-30T01:24:22.099182Z", "iopub.status.idle": "2026-06-30T01:24:22.428974Z", "shell.execute_reply": "2026-06-30T01:24:22.428085Z" }, "papermill": { "duration": 0.334412, "end_time": "2026-06-30T01:24:22.430142+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.095730+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Tilt a flattened logarithmic potential by 30 degrees\n", "lp_flat = LogarithmicHaloPotential(normalize=1.0, q=0.7)\n", "lp_tilted = RotateAndTiltWrapperPotential(\n", " pot=lp_flat, zvec=[0.0, numpy.sin(numpy.pi / 6), numpy.cos(numpy.pi / 6)]\n", ")\n", "\n", "# Compare densities in the (x, z) plane\n", "potential.plotDensities(\n", " lp_tilted,\n", " rmin=0.1,\n", " rmax=2.0,\n", " zmin=-1.0,\n", " zmax=1.0,\n", " nrs=50,\n", " nzs=50,\n", " log=True,\n", " phi=0.2,\n", ");" ] }, { "cell_type": "markdown", "id": "7623eae2785240b9bd12b16a66d81610", "metadata": { "papermill": { "duration": 0.006006, "end_time": "2026-06-30T01:24:22.439608+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.433602+00:00", "status": "completed" }, "tags": [] }, "source": [ "## GaussianAmplitudeWrapperPotential\n", "\n", "Multiplies a potential by a Gaussian in time, useful for transient perturbations:" ] }, { "cell_type": "code", "execution_count": 5, "id": "7cdc8c89c7104fffa095e18ddfef8986", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:24:22.446866Z", "iopub.status.busy": "2026-06-30T01:24:22.446626Z", "iopub.status.idle": "2026-06-30T01:24:22.585628Z", "shell.execute_reply": "2026-06-30T01:24:22.584687Z" }, "papermill": { "duration": 0.143678, "end_time": "2026-06-30T01:24:22.586375+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.442697+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "disk = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=0.1)\n", "transient = GaussianAmplitudeWrapperPotential(pot=disk, to=0.0, sigma=0.5)\n", "\n", "ts = numpy.linspace(-2.0, 2.0, 201)\n", "amps = [transient(1.0, 0.0, t=t) for t in ts]\n", "plt.plot(ts, amps)\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi$\")\n", "plt.title(\"Gaussian amplitude modulation\");" ] }, { "cell_type": "markdown", "id": "b118ea5561624da68c537baed56e602f", "metadata": { "papermill": { "duration": 0.003184, "end_time": "2026-06-30T01:24:22.593891+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.590707+00:00", "status": "completed" }, "tags": [] }, "source": [ "## TimeDependentAmplitudeWrapperPotential\n", "\n", "The fully general `TimeDependentAmplitudeWrapperPotential` can modulate the amplitude\n", "of any potential with an arbitrary function of time. This is useful for creating\n", "custom time-dependent perturbations." ] }, { "cell_type": "code", "execution_count": 6, "id": "938c804e27f84196a10c8828c723f798", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:24:22.601576Z", "iopub.status.busy": "2026-06-30T01:24:22.601356Z", "iopub.status.idle": "2026-06-30T01:24:22.745198Z", "shell.execute_reply": "2026-06-30T01:24:22.744316Z" }, "papermill": { "duration": 0.148648, "end_time": "2026-06-30T01:24:22.745922+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.597274+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Sinusoidal amplitude modulation\n", "disk = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=0.1)\n", "oscillating = TimeDependentAmplitudeWrapperPotential(\n", " pot=disk, A=lambda t: 1.0 + 0.5 * numpy.sin(4.0 * numpy.pi * t)\n", ")\n", "\n", "ts = numpy.linspace(0.0, 2.0, 201)\n", "amps = [oscillating(1.0, 0.0, t=t) for t in ts]\n", "plt.plot(ts, amps)\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi$\")\n", "plt.title(\"Time-dependent amplitude modulation\");" ] }, { "cell_type": "markdown", "id": "b43b363d81ae4b689946ece5c682cd59", "metadata": { "papermill": { "duration": 0.003824, "end_time": "2026-06-30T01:24:22.754374+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.750550+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Combining wrappers with background potentials\n", "\n", "A typical use case: grow a rotating bar on top of an axisymmetric MW potential\n", "and integrate an orbit:" ] }, { "cell_type": "code", "execution_count": 7, "id": "8a65eabff63a45729fe45fb5ade58bdc", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:24:22.763395Z", "iopub.status.busy": "2026-06-30T01:24:22.763156Z", "iopub.status.idle": "2026-06-30T01:24:22.927776Z", "shell.execute_reply": "2026-06-30T01:24:22.926901Z" }, "papermill": { "duration": 0.170239, "end_time": "2026-06-30T01:24:22.928496+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.758257+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Axisymmetric background\n", "bg = MWPotential2014\n", "\n", "# Bar potential, smoothly grown using DehnenSmoothWrapperPotential\n", "bar = SoftenedNeedleBarPotential(normalize=0.05)\n", "bar_smooth = DehnenSmoothWrapperPotential(pot=bar, tform=-2.0, tsteady=0.5)\n", "\n", "# Make the bar rotate\n", "bar_rotating = SolidBodyRotationWrapperPotential(pot=bar_smooth, omega=1.8)\n", "\n", "# Full potential = background + rotating bar\n", "full_pot = bg + bar_rotating\n", "\n", "# Integrate an orbit\n", "o = Orbit([1.0, 0.1, 1.1, 0.0, 0.05, 0.0])\n", "ts = numpy.linspace(0.0, 10.0, 10001)\n", "o.integrate(ts, full_pot)\n", "o.plot();" ] }, { "cell_type": "markdown", "id": "fc17915d", "metadata": { "papermill": { "duration": 0.003843, "end_time": "2026-06-30T01:24:22.936891+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.933048+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Warning**\n", "\n", "When wrapping a potential that has physical outputs turned on, the wrapper\n", "object inherits the units of the wrapped potential and automatically turns them on,\n", "even when you do not explicitly set `ro=` and `vo=`.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "364f0d55", "metadata": { "papermill": { "duration": 0.003752, "end_time": "2026-06-30T01:24:22.944529+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.940777+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Wrapping wrappers!\n", "\n", "Wrappers can be applied to other wrappers, allowing you to combine multiple modifications to a potential. For example, you could create a bar that grows and then decays by applying `DehnenSmoothWrapperPotential` twice, once with `decay=False` and once with `decay=True`:" ] }, { "cell_type": "code", "execution_count": 8, "id": "938aa65a", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:24:22.953595Z", "iopub.status.busy": "2026-06-30T01:24:22.953354Z", "iopub.status.idle": "2026-06-30T01:24:23.135641Z", "shell.execute_reply": "2026-06-30T01:24:23.134567Z" }, "papermill": { "duration": 0.187972, "end_time": "2026-06-30T01:24:23.136455+00:00", "exception": false, "start_time": "2026-06-30T01:24:22.948483+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Example: wrap a wrapper to make a bar that grows and later decays\n", "bar_grow = DehnenSmoothWrapperPotential(pot=bar, tform=-6.0, tsteady=3.0, decay=False)\n", "bar_grow_decay = DehnenSmoothWrapperPotential(\n", " pot=bar_grow, tform=1.0, tsteady=3.0, decay=True\n", ")\n", "\n", "ts_pulse = numpy.linspace(-8.0, 8.0, 401)\n", "phi_pulse = [bar_grow_decay(1.0, 0.0, phi=0.0, t=t) for t in ts_pulse]\n", "phi_ref = [bar(1.0, 0.0, phi=0.0, t=t) for t in ts_pulse]\n", "\n", "plt.plot(ts_pulse, phi_pulse, label=\"grown + decayed (double wrapped)\")\n", "plt.plot(ts_pulse, phi_ref, \"--\", label=\"unwrapped bar\")\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi(R=1, z=0, \\phi=0)$\")\n", "plt.title(\"Wrapping wrappers: turn-on then turn-off\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "b7abcb99", "metadata": { "papermill": { "duration": 0.004063, "end_time": "2026-06-30T01:24:23.144980+00:00", "exception": false, "start_time": "2026-06-30T01:24:23.140917+00:00", "status": "completed" }, "tags": [] }, "source": [ "or you can make a non-rotating bar grow and then rotate it by applying `DehnenSmoothWrapperPotential` and `SolidBodyRotationWrapperPotential` in either order:" ] }, { "cell_type": "code", "execution_count": 9, "id": "06b44a39", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:24:23.154378Z", "iopub.status.busy": "2026-06-30T01:24:23.154138Z", "iopub.status.idle": "2026-06-30T01:24:23.311545Z", "shell.execute_reply": "2026-06-30T01:24:23.310549Z" }, "papermill": { "duration": 0.163207, "end_time": "2026-06-30T01:24:23.312336+00:00", "exception": false, "start_time": "2026-06-30T01:24:23.149129+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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VOSoqyqBL3AshhBCi+qSlpeHl5aX/HC+LFEMVcPPSmJ2dnRRDQgghhJG50xQXmUAthBBCiHpNiiEhhBBC1GtSDAkhhBCiXpM5Q0IIIVRTUFBAXl6e2jGEkTIzM6uWBwJLMSSEEKLGKYpCXFwcKSkpakcRRs7BwQE3N7e7WgdQiiEhhBA17mYh5OLigrW1tSxoKypNURSysrK4fv06AI0bN65yX1IMCSGEqFEFBQX6QsjJyUntOMKIWVlZAXD9+nVcXFyqfMlMJlALIYSoUTfnCFlbW6ucRNQFN3+O7mbumRRDQgghVCGXxkR1qI6fI6O7TBYbG8sPP/xAfHw8bdu2ZcqUKZiZmVX7PkIIIYSoH4xqZOjSpUu0bduW3bt306BBAxYtWsTgwYMpKCio1n2EEEIIUTHx8fHExMTU2H6GoFEURVE7REXdd999JCcns3v3bjQaDdeuXaN58+Z89dVXTJ06tdr2uV1aWhr29vakpqbKs8mEEOIu5eTkEBERQdOmTbG0tFQ7jrhLM2bMIDExkfXr19fIfrcr7+epop/fRjMylJeXx59//smUKVP01wc9PT0JCgpi48aN1baPEEIIUZ6CggIiIyPJzc0FICwsjPT0dP37Fy5cICsri/z8fCIiIkhKStK/l5eXR0RERKnrK126dInMzEz967i4OMLCwoq1uXjxIllZWdV8RpCRkcGlS5f0X4eGhurPD4qKioiICHQ6XbH9EhMTSUlJIT09nQsXLujPPSkpSf86Nja2xPHK2u8mnU7HlStXShzPUIxmztDVq1fR6XQ0bdq02PZmzZrx77//Vts+UPSXcOtfQFpa2l0kL9uoZf+wMOlFPJU4ABSKTwKL0zRiutkSADQaeC/vLZoXXr2tl6J9UjQNeMziff3WN3Lfo5USWmrbbCyYZvWJfusruZ/SruBssTY38yjAwzbL9e/8R7eCzvkhxZremvtJ6w/JN7EA4LGc7+iRf6TUDACzbd8mU9MAgMk5a+mb989/+/ufm32/1mAhySaOAIzN+Z1+uXsoy5IGc4nXuqFBw9CcPxmcs/3Ww5KvMSPdxgea9KBFn8k4ODUqsy8hhLjVvn37mDx5sv6De+LEiaxfv55ly5YxadIkAFq1asV//vMffvnlF2xsbHjppZeYMWMGX3zxBa+88gqWlpYkJyczdOhQvvvuOxwcHAAYN24cTzzxBDNnzgRgwoQJHDhwgKSkJBwcHAgPD8ff35+rV69W6k48nU6HhYVFuW127NjBlClTeOqpp/jmm29wc3Nj8+bNeHp68uSTT7J27VocHR1JT09n3rx5zJs3D4Aff/yR7du3U1BQwJgxYwD49ttvOXnyJB999BEAN27cQKvV8sUXXzB69Ohy9+vWrRvz58/ns88+w8HBgaSkJCZOnMiyZcsMeveh0RRD2dnZADRo0KDYdjs7uzKr5KrsA7BkyRIWLlx4N3ErJDFdR4OCVBqZJJf6fk6BlrjsHP1rO/MbuJkkltpWW6gjOiVb/9rWPAl3k+ults1QLLl643/nb22WiKc2rtS2hYqGiMT//U/Fyuw63troohelXGCNSMxER9HtjeZm8fhoo0rtF+Dy9XRS/vu1qWksTU2vlNn2SnwKMTd/XE1j8TUNL6dtMuFK0T+agabR+JneXhQCKecgZSsPHM/Fp9MQZg7ww9VOhuuFUIuiKGTnqTOX08pMW6E7knJycpg8eTLjxo3j448/Jj8/n6lTpxYb+blp+/btHDt2DE9PTwCOHj3KM888wy+//MLYsWOJj49nwIABvPjii3z99dcABAUFsWfPHmbOnEl2djZHjx7F29ubffv2MWrUKPbs2UOzZs3w8vKq1PkNGzaM9u3b8+6775a7Dk92djaJiYkkJCTobzKaP38++/bt4+LFi/j4+LB7926GDBlCu3btGDFiBM899xznz58vcbmrR48ezJgxQ//6xx9/5KGHHiIsLAwXF5cy93vrrbf4888/OXv2LF5eXiQlJTF8+HBef/113n333Uqdd2UYTTFka2sLUGJoMTk5uczrgFXZB2Du3LnMnj1b/zotLa3SP3wV8d2jXSHxB8ILcvlfZaFwcxaXYmLGH44t9e0tkr8hNP9/BQ+3TPcq1GjZ6NT6vz2ARcoyLuVlgqLwv2lhStFRNCb81qiDfnfLlPe4oEu9JZlyS6Gj8Itrl1syOHNOl1zi+DeP+12jTmCiRVHAKtWZs9mJKBSWmnm5SxcKTYr+wVmlOnE68+Fbeisstss7jTpTaFpUrFimOnEqc7z+mJr/9nmz59cbdaLA1Kao3zRnTmYMK9ZfXnY6eTFnsIo/wcGclvx7+Cp/nIrl4/uaE9SuOUKImpedV0DA/21X5djn3hiCtfmdPw63bdvGjRs3WLx4MRqNBjMzM9555x3WrFlTou3zzz+vL4QAli9fTv/+/Rk7diwArq6uvP7660yePJlly5ZhaWlJUFAQ06dPR1EUDhw4gI+PDyNHjmT37t36YigoKKjUbJGRkfoBgNv93//9H4888ggXLlxgzZo15X7+vf3228Xutl6+fDlvvvkmPj4+APTr148JEyawfPlyRowYcadvGampqVy/fp1OnTphbW3NwYMH9aNDt1MUhY8//pj58+ej0+kIDQ1FURTGjRvHF198IcUQgLe3N7a2tpw/f56hQ4fqt58/f56AgIBq2wfAwsLijkOK1cHPtQG4dqr4Dh6dK97Wq8ud29zUpGvF2/p0q3hbKrOyrHMl2lbmspYLUHbmny8n8daW80RFX8P316c4fP4Juk18pRL9CyHqi/DwcLy8vPT/0Qbw8vIqcfUBiqZj3CosLIzOnYv/Dm/Xrh0FBQVcvnyZgIAA+vbtS3JyMidPntQXPkFBQcyfPx+AvXv3smjRolKzzZkzh5CQkDKzp6Wl8eeff/L777/z8MMPl9rG0tKy2CMtbty4QXJyMm3bti2R+5tvvinzWADHjx/n8ccf5+LFi7i6umJhYUFycjLR0dFl7hMfH09iYiIfffQRX3zxRbH3DL1Ap9EUQyYmJkyYMIFVq1YxY8YMrKysCAkJ4cCBA7z88sv6dj/99BNXrlxh3rx5Fd5H1F/dmjnx61P38OeqxXheS8Tz/BKO/GpJ13Gz1I4mRL1iZabl3BtDVDt2hdpZWZGTk1Nsm6IopU7yvf1ylJWVVYmRm5uvb37QOzs707p1a/bs2cOePXv4z3/+Q+/evTl37hxHjx4lKiqqzJGh0kanbvrjjz94+OGH+eyzz8oshMrKrNFoSs19p+LkwQcfZMiQIRw+fBhzc3MAPDw8KCwsLHOfmyNSn3zyCaNGjSq3/+pmNHeTQdHwXV5eHp06dWLKlCn079+fRx55hJEjR+rb7Nq1i59++qlS+4j6zdzUhFGPzuOQ62QAAk+9wYWjO1ROJUT9otFosDY3VeVPRVcwbt++PdHR0Vy+fFm/7fDhw8XuuipLYGAge/bs4dbVbHbu3ImjoyPe3t76bUFBQWzdupWjR48SFBSEnZ0d7du3Z+HChVWaL3TzOOvWrePpp5+u1H5WVla0aNGC3bt3l+gvMDBQ/9rS0rLYozAKCgq4dOkSY8aM0RdC58+fL7Gm0O37OTk54e/vX+qt9nfzqI2KMJqRIQAXFxeCg4PZvn078fHxzJw5k+7duxdr88ADDzBgwIBK7SOExsSEbk9+zvEP4+iUvhuHLU+S2uwA9k6uakcTQtQSPXv2pHfv3kyaNImlS5eSm5vL888/j4mJyR0LqtmzZ7NixQoee+wxpk+fzvnz51m4cCGLFy/GxOR/4xJBQUEsW7aMVq1a4erqqt/23nvv8eijj1Yp94cfflil/QDefPNNpk6diqenJ127duXnn3/m2LFjrFy5Ut/mZgFz4MABfXHXtWtXFi9ejLW1NQkJCbz00kslRp5K2+/9999nzJgxNGzYkIkTJ5KTk8POnTuJjY0tdsxqp4g7Sk1NVQAlNTVV7SjCwNJSkpSoBS0V5XU75fBHk9WOI0SdlJ2drZw7d07Jzs5WO0qlJSYmKtOnT1fat2+vjBgxQtmyZYtia2urbNiwQd+mZcuWyoEDB0rse/78eWXKlClKu3btlKCgIGXlypUl2iQkJCj+/v7Ka6+9pt+2Y8cOpWXLlsr69esNc1L/PUbHjh1LfW/9+vXKoEGDlLZt2yrjxo1Tjh07Vuz9rKwsZebMmUqXLl305x4ZGak8+OCDSvv27ZX+/fsr33//vXLvvfcqP/zwQ7n7KYqiHD58WJk8ebLSvn17ZcCAAcrbb7+tZGZmlpm9vJ+nin5+G9UK1GqRFajrlwuH/8L/zwlFX4/4Df/OA+6whxCiMox5BeqCgoJiIxynTp2iffv2XLx4kRYtWqiYrP6qjhWojeoymRA1wb/bYI4evJfCGxGs2h/P550Uebq2EAKAxYsXY2trS+/evbl27Rrz5s1jyJAhUggZOaOaQC1ETWn68Bc8ygL+jLfn73PxascRQtQSzz33HLGxsTz77LN88sknTJ48WR7vVAfIyJAQpXBu6MAjPZvy2e5wPtoRyqAAVxkdEkJgZ2fHO++8o3YMUc1kZEiIMjzeqxle5hmMSviCkF2/qB1HCCGEgUgxJEQZGtqYs9TjH2aY/oHZkc/UjiOEEMJApBgSohxNh/6HAkVDG10IkeePqx1HCCGEAUgxJEQ5GjdpySnbngDE7fhE5TRCCCEMQYohIe7ArMeTALRJ3EZWRqrKaYQQQlQ3KYaEuIPW94wgWuOKjSaHc7t+VjuOEEKIaibFkBB3oDEx4arXaAAszq5VOY0QQojqJsWQEBXgHfQoaYo1p7IaEpeSpXYcIYSR2bt3L76+vjW2n6gcWXRRiArwaNaKyW5rORiZTuapWKb3aa52JCGEEcnOzubKlSs1tp+oHBkZEqKChnXwBuDPM3EqJxFCqMXHx4c1a9YwadIkWrZsybJly4CiB7aOGzeOli1b0qNHD5YvX67f5/Tp0zz88MMUFBTg4+ODj48Pr7/+OpcuXdK/btmyJcOGDePvv/++434A165dY/r06bRu3Zpu3brx2muvkZ2dbdBz/+effxgwYABt2rRh0qRJrF+/Hh8fH3Q6HQB//fUXrVu3Zvv27QQFBdG8eXMuXboEwE8//USfPn1o2bIlI0aM4ODBg/p+z507R7NmzUhNLbpBJScnBz8/P6ZPn65vs3btWoKCggx3cuU+014oiqIoqampCqCkpqaqHUWoKD41W/F5ZbMy4pVPlLiYq2rHEcJoZWdnK+fOnVOys7NLvqnLKPtPbnYl2mZVrG0lAYqDg4OycuVK5dKlS0pKSooSGxur2NnZKdOnT1dOnDih/PDDD4qdnZ3ywQcfFB1ap1NWrVqlaLVaJSIiQomIiFCSkpKU3Nxc/evz588rn332mWJhYaEcOXKk3P3i4+MVDw8P5fnnn1eCg4OVAwcOKH379lXGjBlT6fNRFEV56qmnlK1bt5bbJjIyUrGyslJmzZqlhISEKN98841ia2urAPq/x99//13RaDRKYGCgsnPnTiUiIkLJzc1VfvzxR8XKykr58ssvlZCQEOXll19WzM3NlfPnzyuKoij5+fmKnZ2dsnnzZkVRFGXXrl2Kra2t4uzsrBQWFiqKoihTp05VHnnkkVKzlffzVNHPb7lMJkQFudhZ8qP9F9yTs59De9JwnTxf7UhC1D2L3ct+z28wPHDLo3He9YW8MubwNekF07b87/VHbSErqWS7BZVfLuO5555j2rRp+teLFi3C09OTL774Ao1GQ2BgINevX+eNN95g5syZmJub4+rqChSNLN3q1tf+/v4cPXqUVatW0aVLlzL3mzdvHv7+/nzwwQf6bT/++COenp5ERETQtGnTSp3PmDFjeOCBB5g3bx7PP/98qW0++ugj/P39+fDDDwFo3749YWFhLFmypFg7RVFYuXIlHTp00G9bsGABs2bN0o/0tG/fnkOHDrF48WJWr16NVqulV69e7N69mxEjRrBnzx4mTpzIxo0bOXPmDG3btmXv3r0sXLiwUudVGVIMCVEJJt7d4dJ+7C5vBaQYEqI+6tSpU7HXISEh9O3bt9jDnPv378/s2bO5evVqucXJypUr+emnn7h27Ro5OTkkJyfTq1evco//77//cvLkSXx9fVEURf8HIDQ0tNTj3XfffQQHB5fZZ15eHrNnz8be3p5HH320xPunT5+md+/exbaVltPMzIx27drpX2dlZREaGlriElf//v357bff9K+DgoJYs2YNAHv27OHJJ58kOTmZPXv20KBBAyIjIw16mUyKISEqwaf3JLj0Li1zz5KSGIeDs5vakYSoW+bFlP2eRlv89Uth5bS9bUrsrNNVz3QbKyurYq9zcnKwsLAotu3m65ycnDL7WbFiBfPnz+ejjz6iXbt2NGjQgDfffJPIyMhyj5+Tk8Po0aNLHSm5OZJ0u88//1w/t+d20dHRPPTQQwQFBXH//feXecyyzvFW5ubmmJj873t/8/xL2/fW701QUBCvvPIKsbGxHDlyhJ9//pmkpCR2796Nra0tPj4+NGnSpNRs1UGKISEqwc3Ll8smPjQrvELYgQ10HjVD7UhC1C3mNuq3raQWLVpw6tSpYttOnjyJVqvVj9JotVr96M1N27ZtY8qUKTzwwAP6bVevXi3WprT9AgICCAkJoUmTJsVGo8rTuHHjMt97/PHHmThxIosXLy6zP19fX86cOVNs2+2vS+Po6IiTkxOnTp2ib9+++u0nT57Ez89P/7pjx47Y2tqydOlSvL29cXd3JygoiAULFmBra2vYydPI3WRCVFp84yAANKHb1Q0ihKgVnn76afbs2aO/zBMdHc3ChQt54oknsLS0BMDd3Z3CwkIuX76s38/Dw4ODBw+SkZGBoih8++237Nixo1jfpe03c+ZMzp07x/z588nNzQUgMjKSGTOq9p+zbdu2sWTJknILq+nTp7N9+3Y2b94MwOXLl/Xzh+7kP//5D++99x6hoaEAbN++nV9//ZVnn31W3+bmvKEvv/ySfv36AdCmTRtMTEz45ZdfpBgSorZp2H4EAH7ph8nPy1U5jRBCbR07duTrr79m5syZNGzYkKZNm9K2bVveeecdfZvWrVszadIkWrdurb9Ffv78+Wg0GlxcXHBwcOCTTz5h1KhRxfoubb/AwEC2bNnC5s2bsbW1xdHRkX79+tGxY8cq5Tc1vfNFoh49evDOO+8wadIkHB0d6dmzJ6NHF63Mb2ZmVu6+c+fOZciQIbRt2xZHR0cmTpzIkiVLGDJkSLF2QUFB5OTk6AsfjUZDnz59im0zFI1y+/ibKCEtLQ17e3tSU1Oxs7NTO45QWUF+Pmlv+dCQdM4NXUtA96FqRxLCqOTk5Ojvero5cmIsrly5gpubW6m5CwsLiY+Px87ODhub0i/LZWVlkZCQQIMGDXB0dATgxo0baDQaGjZsSHJyMrm5uSXm/pS2H0BycjIajQYHB4fqO8ly5OTkkJGRgbOzM19//TWvvfYasbGx+oyJiYl4e3uXum92djbJycm4uLiUWoBlZWVx/fp13N3dMTc3B4rOLy0trdz5QuX9PFX081vmDAlRSVpTUza5z2L7lQI6JzcmQO1AQogac/ut8bcyMTEpd24OgLW1dYkP9luLm4YNG1Z4v/LaG8I777zDk08+ibOzMxcvXmTJkiXFJlxbW1uXWQhB0cTz2yef38ra2rrE97dhw4Y1co5SDAlRBbadJnHg8kkyw9OZrXYYIYSoAXZ2dvj5+aEoCpmZmTz44IMsXrxY7VjVQoohIaqgp68zAKeiU0nJysXB2lzlREIIYVgzZsxgxowZJCQk4OTkVOwWemNXd85EiBrkZm/JfY6RvKZdzcUDm9WOI4QQNaZRo0Z1qhACKYaEqLKJtsE8aroNzm1QO4oQQoi7IMWQEFVk5T8AAK/kwyonEcI4yc3MojpUx8+RFENCVFHzzkMoUDS4K/HERZXzWAAhRDE316XJyirjIatCVMLNn6M7rXdUHplALUQV2do1JNTMF7/8UK6F7MTNy1ftSEIYBa1Wi4ODA9evXweKbqmu6GMlhLhJURT92kQODg5otdo771QGKYaEuAtJTp3wiw+l4MoB4Em14whhNNzcih5yfLMgEqKqHBwc9D9PVSXFkBB3waJ5b4hfg2vycbWjCGFUNBoNjRs3xsXFhby8PLXjCCNlZmZ2VyNCN0kxJMRd8AkcAAfAsiCDGykpONbQkvhC1BVarbZaPsyEuBsygVqIu9CwUWMesP2a7rplHI3OUTuOEEKIKpBiSIi75NPcH9BwJOKG2lGEEEJUgRRDQtylrk2LHrJ45HKSykmEEEJUhcwZEuIudfWyZrnZh3RKCiUjLQRbu5p7irQQQoi7JyNDQtylxk4NaW96FRdNCpdP7FI7jhBCiEqSYkiIahBtFwhAZug+lZMIIYSoLCmGhKgGincPAOyvH1M5iRBCiMqSYkiIatC4XT8AmudeJFcnt9gLIYQxkWJIiGrg2bwtKdhiocnjyll5ir0QQhgTKYaEqAYaExMiLVsBkHzpgMpphBBCVIYUQ0JUk3S3bhwrbMGlVHm0gBBCGBNZZ0iIapLf4znGX7gHnzRrHlI7jBBCiAozypGhmJgYQkJCyMjIqPA+169f59ChQ6SlpRkwmajPOng5AHAlKYvkzFx1wwghhKgwoyqGdDodEydOpHnz5kyYMAFXV1eWL19e7j7BwcFMmjSJ1q1b06NHD06cOFFDaUV942BtTjNnG2zI5kz4FbXjCCGEqCCjKobefPNN/vnnH8LCwggNDWX16tU888wzHD16tMx9goODGT16NIcPyx0+wvDmW6zjtMXjmB79Uu0oQgghKsio5gx98803TJ8+HQ8PDwDGjRtHQEAAK1eupEuXLqXu8+ijjwJw7dq1Gssp6i9bF29MkhRsEkLUjiKEEKKCjGZkKCYmhri4uBJFT7du3QgODlYplRDFObW4B4AmOedRCgtVTiOEEKIiVB0ZCg8PJyEhodw2gYGBWFhYcOPGDQAcHR2Lve/k5ERSUlK15tLpdOh0Ov1rmXQtKqpJ667kbDDDXpNJVPhpvPzaqx1JCCHEHahaDP30009s2bKl3Dbr16/H09MTMzMzgGJFCkB2drb+veqyZMkSFi5cWK19ivrBzNyScHM//PPOEXf2HymGhBDCCKhaDL322mu89tprFWrr5eWFiYkJMTExxbbHxMTQpEmTas01d+5cZs+erX+dlpaGl5dXtR5D1F0pju0g/hyF1+ShrUIIYQyMZs6QtbU13bt3Z/PmzfptWVlZ7NixgwEDBui3Xb58mVOnTt3VsSwsLLCzsyv2R4iKMmvSFQDH5Lv7ORRCCFEzjOpusrfeeovBgwfz2muv0aNHDz755BMcHR2ZPn26vs3ixYs5dOgQZ86cASAhIaHY3KRz585haWmJp6cnnp6eqpyHqNvc2/Rl/cE+nMz3ZX5eAZZm8ngOIYSozYxmZAigX79+7Ny5k4sXL7J06VJ8fX35999/i43cNG/enPbt/zdP48iRI8yaNYtFixbRrVs3Vq9ezaxZs9i2bZsapyDqATev5iwye5bv8wdyMS5d7ThCCCHuQKMoiqJ2iNouLS0Ne3t7UlNT5ZKZqJCpK4+w71ICb41pw4Pdq3dOmxBCiIqp6Oe3UY0MCWEs2rlb46+5Svql/WpHEUIIcQdSDAlhAAM0x9lm8QqDI99XO4oQQog7kGJICANo3KpoJWrv/EhysjNVTiOEEKI8UgwJYQCuns1Jxg4zTQFXz5f9IGEhhBDqk2JICAPQmJgQZdkCgOSwIyqnEUIIUR4phoQwkEyntgBoYkPUDSKEEKJcUgwJYSAW3p0AcEo7p3ISIYQQ5ZFiSAgDcW/VHQDv/KsyiVoIIWoxKYaEMBBXz+Z8rHmQJ/Je4GK8FENCCFFbSTEkhIFoTEw44fUwewo7cCouW+04QgghyiDFkBAG1NbDHoDT11LUDSKEEKJMUgwJYUAd3EwZYnKUpuE/qB1FCCFEGUzVDiBEXdbGUWGg+YfkZWnJyV6ApZWN2pGEEELcRkaGhDAgV49mJNMAM00BURdPqB1HCCFEKaQYEsKANCYmRFs0ByA5/LjKaYQQQpRGiiEhDCyjYWsAlNiTKicRQghRGimGhDAwU/d2ANilXlA5iRBCiNJIMSSEgTXy6wyAd+5lCgsKVE4jhBDidlIMCWFgHr7tyFHMsNHkEB0hzykTQojaRoohIQzM1MycJQ6v00/3PiczG6odRwghxG2kGBKiBuQ2CSJCacy52Ay1owghhLiNFENC1IDW7nYAnI1JUzmJEEKI28kK1ELUgDbOGp7UbqbltURgvdpxhBBC3EKKISFqQEs3B9qZrsGkUCEx7irObt5qRxJCCPFfcplMiBpgZWtHlNYDgJjzh1VOI4QQ4lZSDAlRQxJsWgKQeTVY5SRCCCFuJcWQEDUkv1HRYzksEs6onEQIIcStpBgSoobY+HQEoFFmqMpJhBBC3EqKISFqiId/VwC8lBgy0pJVTiOEEOKmSt9NdvLkSf78809CQkJITk7G3t6eNm3aMHToULp27WqIjELUCY4uHlzHkYZKKlcvnSKgc1+1IwkhhKASI0M7d+6kR48edOzYkR9++IH8/Hw8PT0B+P3337nnnnvo0KEDGzZsMFRWIYze+x4f0Vq3kqO5TdSOIoQQ4r8qNDK0atUq3njjDWbNmsWmTZto1KhRiTYpKSmsW7eOV199lQsXLvDKK69Ue1ghjJ1LE39yw8M4JytRCyFErVGhYqhfv3488MADmJmZldnGwcGB6dOn8/jjj3PlypXqyidEnaJ/LEdsqspJhBBC3FShYqhJk4oP6ZuYmNCsWbMqBxKiLmvtbMZi06/wT7hGXu6/mJlbqB1JCCHqvUrfTZaQkEBCQoL+9YkTJ/jmm2/4559/qjWYEHWRp4sjI7WH6GgSStSlELXjCCGEoJLF0Ny5c3FxcaFx48Z89dVXLFu2jE6dOjF9+nR69+7NzJkzDZVTiDpBY2JClIUvAElhR1VOI4QQAipxa/3Fixf5+OOP+e6777Czs2POnDlkZGSwdetWBg8ezO7duxkzZgwzZswgICDAkJmFMGpp9v6QcJqC2NNqRxFCCEEliqFDhw4xYsQIpk6dCsCePXuIiori3nvvBWDgwIFMmDCBPXv2SDEkRDlM3NtBwi80SD6vdhQhhBBUohjKy8vD0dFR/9rDwwOtVlusTbNmzYiLi6u+dELUQY7NOsJJ8MgNRyksRGMiC8ELIYSaKvxbuEePHhw/flz/unv37gwYMKBYm8jISHx9fasvnRB1kGeLQPIULQ5kcD0mQu04QghR71W4GGrdujXu7u7s2bMHgN69ezNs2DD9+ykpKRw6dIgxY8ZUd0Yh6hRLKxuitF5cLWxEZKQUQ0IIobZKPZts48aNZb6XmZnJjz/+iJ2d3V2HEqKu+8x3Bb+eSuRFXRPkiX5CCKGuapus4OHhQfv27aurOyHqtJaezgCci5XHcgghhNqqrRi6ceMGFy5cKLYgoxCidK0aF42gnpdnlAkhhOqqrRhauXIlrVq1YunSpdXVpRB1VitnM34ye4v1GQ+RmZ6idhwhhKjXKjVnqDzjx4+nTZs2NG3atLq6FKLOcm7ogKKNxYl0Llw4hn+XgWpHEkKIeqvaRoZ8fHwYOnQoLVu2rK4uS7Vx40YGDBhAmzZtmDx5MmFhYeW2v3LlCs8//zzdunWjZ8+ezJkzhxs3bhg0oxAVEWtZtAxFasQJlZMIIUT9VqVi6NKlS2zcuJEffviB33//nbNnz1Z3rlL98ccfjB8/npEjR/LNN9+gKAq9e/cus7gpKChgyJAh+Pj48Omnn7Jo0SL27NnDgAED0Ol0NZJZiLJkOrYq+iL+jLpBhBCinqvUZbIjR47wxBNPcOrUqRLv+fn5sXz58hILMVanBQsW8OCDDzJr1iwAVq9eTePGjVm+fDnz588v0V6r1XL27FlMTf93mqtXr8bf35/Dhw/Tp08fg2UV4k7MPNpBDDikXlQ7ihBC1GsVHhlKSEhgyJAhtGrVil27dhETE0NWVhaxsbH8888/9O3bl+HDh9/xslVVpaenc+LECYYMGaLfZm5uzsCBA/ULQZbm1kIIQFEUADQajUFyClFRjXy7AOCVF0FBfr7KaYQQov6q8MjQli1bCAwMZM2aNcW2W1lZ4ebmRs+ePcnMzOTXX39lzpw51R702rVrKIqCm5tbse1ubm6ljlSV5bXXXsPHx4euXcte6k6n0xW7jJaWJrc/i+rn2bwN2Yo51hodURFn8fKTdbqEEEINFS6GsrKycHd3L7dN48aNyczMrPDB58yZw6+//lpum127duHt7U1hYSEAZmZmxd43NzenoKCgQsdbsGABW7duZdeuXVhYWJTZbsmSJSxcuLBCfQpRVVpTU85YtCc7OwfikvHyUzuREELUTxUuhnr16sXLL7/MunXrGDduXLEn1iuKwl9//cW3337LL7/8UuGDv/DCCzzxxBPltmncuDEAzs5FK/YmJSUVez8xMVH/Xnnefvtt3n33Xf744w+6detWbtu5c+cye/Zs/eu0tDS8vLzueAwhKus3/w/4+UgUz2S5ITPYhBBCHRUuhtq1a8drr73GlClTcHBwwNfXFwcHB9LS0oiIiCA+Pp7Zs2dXagK1i4sLLi4uFWrr6uqKl5cXBw8eZNSoUfrt//77L0OHDi1336VLl/LGG2/wxx9/0K9fvzsey8LCotyRIyGqi34l6th0lZMIIUT9Valb6+fMmcP58+d56aWXaNmyJTY2NjRv3pxnnnmGkydP8t577xkqJwAzZszg66+/5sKFCwCsWLGCy5cvFxtdmjdvHsOGDdO/fu+99/SFUP/+/Q2aT4jKCvhvMRQVHaNyEiGEqL8qvQK1n5+fQSZIV8ScOXO4du0a7du3x8bGBq1Wyw8//EDbtm31ba5fv87Vq1cBSE5O5qWXXsLW1pbp06cX62vJkiVMmDChRvMLcTv/Rhb8YzETz7xEUhIv4uDsduedhBBCVCuNcvNecyOSmZnJjRs3aNy4cYlb5xMSEsjJycHLy4vCwkIuX75cah8uLi7Y2dlV6HhpaWnY29uTmppa4X2EqKhrC1viqcRxZuD3tOk16s47CCGEqJCKfn5X27PJapKNjQ02NjalvteoUSP91yYmJvj6+tZULCGq5Lq1H56ZcWREBoMUQ0IIUeOq7dlkQoiq0TkFAKC9XjOPtRFCCFFclYqhy5cvc/78+RJfCyEqz8qrAwBO6fJYDiGEUEOViqHffvuNb775psTXQojKc23RCQDPgihydTkqpxFCiPpHLpMJoTI3Lz/SsMFcU0DUxWC14wghRL1jlBOohahLNCYmHLAewPW0bFySC2iudiAhhKhnZGRIiFrgkP8r/F/+NI6mO6odRQgh6h0phoSoBQLci9a/OBeTpnISIYSof6QYEqIWCGhshyU6tLHHUQoL1Y4jhBD1iswZEqIW8HWy4KTFdCyUPOJjhuDqKYuFCiFETZGRISFqAUtLS2K07gDEXjymchohhKhfqjQy1KdPHzIzM0t8LYSoukTbFjRNiyQ7KgSYpHYcIYSoN6pUDHXt2rXUr4UQVVfg0hrS/sYiUR7LIYQQNUkukwlRS9h4dwCgUWaYukGEEKKekWJIiFrCvWUXADwKY8lMT1E3jBBC1CNSDAlRSzi5epJAQ0w0ClEXZBK1EELUlCrNGYqLi+PDDz/kwoULNGrUiKFDhzJ8+HCsrKyqO58Q9coOhwmEJWTSOrMB/mqHEUKIeqLSI0O5ubn07t2blStXYmpqSlRUFNOmTcPf35+DBw8aIqMQ9cZV/8f4pmA4x5Kt1Y4ihBD1RoVGhpKTk3nllVfo1KkTJiYmREVFERkZiaurKwA6nY53332XwYMHc+LECfz8/AwaWoi6qlXjosdynI+Vx3IIIURNqVAxZGZmRnp6Ou+//z6hoaFoNBqGDBlCx44d6dixI4GBgTz//PNERETw6aef8sknnxg6txB1UoCbLX6aazSPO0hBfje0prJIvBBCGFqFftPa2try008/AbBv3z7uvfdeHnnkEU6cOMGXX37JhQsXKCwsxM7ODgcHB7y8vOjYsSNdunTBzs7OoCcgRF3S1MmaTeavYqXJJSpiAl5+7dWOJIQQdV6l5wx1794dOzs7LC0tWb16NadPnyY9PZ2DBw8yaNAgdDod69atY/jw4axYscIQmYWos7SmpkSZ+QCQEHpc3TBCCFFPVHoM3tzcnNWrVzN27Fj++usvpkyZQrNmzYiOjubIkSNMnDiRDz/8kPz8fLKysgyRWYg6LcWuBdy4hC76pNpRhBCiXqjSOkODBg3i+PHjmJub88gjj9CpUyfGjh2Lm5sb8+bNA8DU1FQukQlRBYprWwCsb5xXOYkQQtQPVZ6d2aJFC9asWYNOpyMiIgJLS0t8fHyqMZoQ9ZO9TyCch8bZoWpHEUKIeuGuV6C2sLDA399fCiEhqolnq6LHcrhwg5TEOJXTCCFE3SeP4xCilrG1cyRaU7SG17ULR1ROI4QQdZ8sYiJELbTV5UkORWXSN9ebNmqHEUKIOq7aRobS0tK4fv16dXUnRL2W5TeKnYWdCElUO4kQQtR91VYMrVixgsaNG/PEE08QHx9fXd0KUS8FuBfdiXkuRh7LIYQQhlZtxdCYMWP4+eefsbS0ZM2aNdXVrRD1UitXawaZHOPepFXk6nLUjiOEEHWaRlEURe0QtV1aWhr29vakpqbK2kmiRiiFhaS/4YkdmYSP207ztt3VjiSEEEanop/fVRoZys/PJzw8nJCQEEJDQ8nNza1yUCFESRoTE6LMmwFwI/yYymmEEKJuq1QxFB0dzQMPPICdnR2+vr4EBgbSokULGjRowH333UdoqCwSJ0R1Sbf3B6Ag9rTKSYQQom6r8K31mZmZ9O7dGwcHB5YuXYq/vz8ODg6kpqYSHh7O999/T8+ePTlz5gwuLi6GzCxEvWDi3g4SfqFBsjyWQwghDKnCxdAff/yBvb09hw4dwtzcvNh7AwcO5IknnmDw4MGsWbOGmTNnVntQIeobx2Yd4SR45IajFBaiMZE1UoUQwhAq/Nv1+vXrdOjQoUQhpO/IxIQuXbrIWkNCVBPPFoHkKyY4kEF89GW14wghRJ1V4WKoffv2/PHHH5w5c6bU969cucKaNWto165dtYUToj6ztLIhSusFQNwlmUQthBCGUuHLZH369GHYsGG0b9+ee+65h5YtW+Lg4EBaWhrh4eHs37+fgQMHMn78eEPmFaJe2ej1Mn9cyuQ+2tNB7TBCCFFHVerZZN999x3jxo3jl19+ITg4mIyMDKytrWnZsiWrV6/m/vvvx0TmNQhRbayb9yDs4gXOxmWpHUUIIeqsSj+oddSoUYwaNcoQWYQQt2nVuGiRsPOx6SonEUKIukueWi9ELdbK1YbHtVsISI0kM70DNg0c1I4khBB1jlzTEqIWc7azZobZFsZq/yHqgkyiFkIIQ5BiSIhaLsbSD4DUiGCVkwghRN1UpWIoLS2N5OTkEl8LIapflmOroi/iS1/WQgghxN2pUjG0YsUKFi1aVOJrIUT1M/UoWrvLIfWCykmEEKJuMroJ1Kmpqfz222/Ex8fTtm1bhg0bhkajKXefy5cvs3PnTjIyMmjdujWDBg264z5C1BaNmneGo+CZF0FBfj5aU6P7ZyuEELWaUc0Zunr1Km3btmXFihVER0czffp0xo4di6IoZe6zYMECRo8eTUhICFeuXOHxxx+nd+/eZGXJui3COHj6tiVbMcdGoyMm4qzacYQQos4xqmJozpw5NG7cmP379/Ppp5+ye/duNm/ezPr168vcZ8SIEZw6dYrPPvuMjz/+mEOHDnHw4EE2b95cg8mFqDqtqSlRZj4UKBpiI+QJ9kIIUd2MphgqKChg48aNPPTQQ5j+9zJBixYt6NOnT7nFUOfOnYtdEtNqtQBYWVkZNrAQ1eh330UE6L5lr9JB7ShCCFHnGM3kg6tXr5KdnY2fn1+x7X5+fhw+fLjcfcPCwvjhhx9IS0tjx44dvPjii4wcObLM9jqdDp1Op3+dlpZ2d+GFuEuNm7RAF3JWVqIWQggDULUY2rBhAyEhIeW2mTlzJo6OjmRkZABgb29f7H0HBwf9e3eSm5tLSkoK0dHR5OTklDk6tGTJEhYuXFihPoWoCQH/fSzHuRgpzIUQoroZzWUyW1tboOhuslulpKTo3yuLr68vCxYsYNmyZRw/fpxt27bx6aefltl+7ty5pKam6v9ERUXd/QkIcRf83Wx503Qln+e8TEpCrNpxhBCiTqnSyFBAQAAeHh4lvq6sMWPGMGbMmAq19fLywsrKitDQUIYMGaLfHhoaSsuWLSt8zEaNGtGmTRtOnz5dZhsLCwssLCwq3KcQhmZraU5/s9N4KPGcvXAEh0aj1Y4khBB1RpVGhoYNG8bkyZNLfG1IpqamjB49mu+//578/HwALl26xL59+xg3bpy+3aZNm/j8888ByMvL4+TJk8X6iYmJISQkhNatWxs8sxDV6bp10Xy59Ksh6gYRQog6xmgmUAMsXbqUnj170qdPHzp37sxvv/3GyJEjmTBhgr7Npk2bOHToEE8//TSKojBjxgycnJwICAggJSWF3377ja5du/Lss8+qeCZCVF6OU2vI/AftdVlrSAghqpNRFUPe3t6cOXOGX3/9lfj4eL744guGDx9e7Nb5UaNG0bFjRwDMzc05cOAAu3fvJjg4mGbNmvHYY4/RrVs3tU5BiCqz8moPV8Ep/aLaUYQQok7RKOUt31yK48ePk5CQwNChQw2VqdZJS0vD3t6e1NRU7Ozs1I4j6qnYyIs0/rYruYoW5sVgbmGpdiQhhKjVKvr5Xek5Q7t37+bee+/ltddeK/FefHy8rMkjhIG4efmRhjXmmgKuXgpWO44QQtQZVZpAPWjQID777DNeffXVYtu///573njjjWoJJoQoTmNiwjXz5lxTnImJjlY7jhBC1BlVKobatWvHzp07Wb58OfPnz6/uTEKIMvwa8Cm9dJ+wNz9A7ShCCFFnVHkCdWBgIDt27GDgwIEALFq0qNpCCSFK19LTGYiRlaiFEKIa3dXdZLcWRIqi4OjoWF25hBCluPlYjvOxqSiFhWhMjGYReSGEqLUqXQx16dKF6FvmKwQGBrJz504GDhyIvb099913X7UGFEL8j28jG74zX0qbwsvER+/Fzau52pGEEMLoVfq/lX379mXKlCnFtnXo0IEdO3bInWRCGJiluSnepik4adKJu3RU7ThCCFEnVNuiix06dCAuLk4KIiEMLMnWj6ZpkWRHhQCT1I4jhBBGr1onHGi1Who2bFidXQohbpPv0gYAi0R5LIcQQlQHmX0phJGx8e4AQKPMMHWDCCFEHSHFkBBGxsO/KwBeSgwZackqpxFCCONXbcXQqlWr6NGjBxs3bqyuLoUQpXB08SAeJwCunjuschohhDB+1VYMubu74+fnx/PPP8/ixYurq1shRCnCbTvyb0FrLidmqR1FCCGMXrXdTTZ48GAGDx4MQHp6enV1K4QoxdEOS/hwxyXGZnowQu0wQghh5AwyZ6hBgwaG6FYI8V9tPYtWoj4dnapyEiGEMH7VWgz9+++/bNu2rTq7FEKUoo27PQAJCXFkZWernEYIIYxbtRZDBw8eZMeOHdXZpRCiFC52lmy0WkiIxXSunvlX7ThCCGHUKjxn6OrVq1y6dKncNqGhoXKJTIiaYukA2ZAafhS6DFQ7jRBCGK0KF0Pr1q3jpZdeumO7F1544a4CCSEqJtupDVw7jCbulNpRhBDCqFW4GPL396dPnz6sXbu2zDbLly8nMzOzWoIJIcpn4d0Rrn2Dc9o5taMIIYRRq/CcoWHDhhEVFYVOp8PNza3UP3KJTIia4x7QHQDvgqvkZGWonEYIIYxXhYshExMT3nvvPSIjI8tsM3z4cKZMmVItwYQQ5XNxb8YN7DDVFHL1wjG14wghhNGq1KKLY8eOLff9Vq1a3VUYIUTFaUxMuGbZAsecYySHHYGOQWpHEkIIoyQPahXCiMU3HsBP+f0JyXZVO4oQQhgtKYaEMGIFnaYxL/9xNqU2UzuKEEIYLSmGhDBibTyKVqK+FJ+OLr9A5TRCCGGcpBgSwoh5OFjRyAr8C8MJj7iidhwhhDBKVSqGVq9ezYcffljiayFEzdJoNHxj8QGbLV4l4+RGteMIIYRRqlIxdP36daKjo0t8LYSoeZkNAwBQYkPUDSKEEEZKLpMJYeTMvToC0DD1vMpJhBDCOEkxJISRc/PvCkCTvAjycnUqpxFCCOMjxZAQRs7dpxVpWGOhyePqxWC14wghhNGRYkgII6cxMSHK3A+AG6GHVU4jhBDGR4ohIeqAdMc2ABRGn1A5iRBCGJ9KPZtMCFE7FbYczpKoQhLyu9FN7TBCCGFkqjQyZG5ujoWFRYmvhRDq8Grfjy8LRrI50VVWohZCiEqq0sjQzJkzS/1aCKEOz4ZWONmYk5SZy/nYdDp4OagdSQghjIbMGRKiDtBoNPR1y2WUyQFiT+1SO44QQhgVKYaEqCMmaPfwifkynC/9rHYUIYQwKlIMCVFHWPt0AcAl/ZzKSYQQwrhIMSREHeHVpicATQqvkZaSpHIaIYQwHpUqhq5evcqCBQt46aWX2Lt3b4n3T506xf79+6stnBCi4hxdPIjRuABw9cy/KqcRQgjjUeFiKC0tjS5duvDuu+/y448/EhQUxOeff05ycjJvvvkmLVu2pH379vzxxx+GzCuEKEecTSsAMsKPqJxECCGMR4Vvrd+6dStOTk5cunQJe3t79u/fz4MPPsinn35KbGwskyZNYtmyZfTr18+QeYUQ5ch1C4SwvZhfD1E7ihBCGI0KF0MxMTEMGjQIe3t7AHr37s2IESPYtWsXERERNGzY0GAhhRAVY9esG4SBe+Z5taMIIYTRqPBlssLCQszMzIpta9q0KYMGDarxQigzM5Nr165RUFC5lXZzcnIICwsjMTHRQMmEUFeTtj15Om8WY3P+j+vpOWrHEUIIo1CpCdQbNmxg1qxZfPPNNxw5coSsrCzMzc0Nla2EgoICnnnmGRwdHWnXrh1ubm6sWbOmwvs//vjj+Pn58dZbbxkwpRDqsWlgT7jzAGJw5lRUqtpxhBDCKFT4MlmvXr04ffo0O3fuZNmyZfpRGQ8PD1JSUujatStdu3alTZs2mJoa5vmv77zzDuvWrSMkJIRWrVqxYsUKHnzwQdq0aUObNm3K3XfVqlVcvnz5ju2EMHbtPO25GJ/OyWspDAxwVTuOEELUehUeGerevTvfffcdp0+fJj09nQMHDvDpp58yaNAgjh49yjPPPENgYCBz5841WNjly5fz+OOP06pV0R0z06dPp1mzZqxYsaLc/S5evMi8efP44Ycf0Gq1BssnRG3Q3Tmb/2h/p9mZT9WOIoQQRqFKQzhWVlb06NGDHj166Lfl5ORw8uRJg40KxcfHExUVVeyYAD179uTYsWNl7qfT6Zg0aRJLliyhWbNmBskmRG3SrmEe48x+ITXNBqXwEzQmsraqEEKUp0KVS0FBwR1HVCwtLenWrVuF2wNcv36dtLS0cts0adIEMzMz/aRnJyenYu87Ozvz779lLzD34osv4ufnx8MPP3zHPDfpdDp0Op3+9Z0yClGbNGnVhdzfTbHXZBIdcQ6P5nJpWAghylOhYujTTz/lzJkzvPzyy7Ro0aLMdhEREXz00UfY2tqyaNGiO/b7/vvv8+uvv5bbZteuXXh7e2Py3//d5uXlFXs/Nze3zMJrx44d/PDDD/z111+EhYXp26emphIWFoavr2+p+y1ZsoSFCxfeMb8QtZG5hSUXzZrTMv8isecPSDEkhBB3UKFi6PHHH+ett96iffv2dOjQgT59+tCiRQvs7e1JT08nNDSUffv2ceTIEZ544gleeOGFCh186dKlLF26tEJtPT09AYiLiyu2PS4uTv/e7eLi4nBycmLy5Mn6bVFRUcTExLB//34uXrxYaiE1d+5cZs+erX+dlpaGl5dXhXIKURukOLSBxIvkXz0GTFc7jhBC1GoaRVGUijZOSEhg5cqV/Pnnn5w+fZrk5GTs7Oxo3bo1Q4YM4bHHHsPDw8NgYTt37kzbtm359ttvgaJRnsaNGzN79mzmz5+vz5iTk1Nm8dKhQweCgoL46KOPKnzctLQ07O3tSU1Nxc7O7q7PQwhDO7rxc7oEz+W8WQCt5h9UO44QQqiiop/flZrt3KhRI+bMmcOcOXPuOmBVvP7664wdO5YOHTrQo0cPPvjgA8zNzZkxY4a+zdy5czl06BBnzpxRJaMQtYGL/z0QDD65YeTl6jAzt1A7khBC1FpVvs2ksLCQ5OTkSq8CfTdGjhzJL7/8wsaNG5k2bRoA+/btKzap2sXFBW9v7zL78Pb2plGjRgbPKoSavHzbkoYNChoiQs+pHUcIIWq1Sl0mA8jPz2f+/Pl8+eWXpKamYmNjw0MPPcQHH3yAlZWVoXKqSi6TCWP04pcb+D3ChNdHt2NqDx+14wghRI0zyGUyKLpVfcWKFUyfPp1WrVpx+fJlVqxYQXJycqUejSGEMCzP5gEURIRyIjJZiiEhhChHpYqha9eu8dVXX3HgwAE6dOig3/7UU0/RoUMHgoODCQwMrO6MQogqCPQueoBycFSKukGEEKKWq/CcIZ1Ox/bt2+nfvz8+Pj6kpKTo/zg4ODBu3Di2bdtGTo48KVuI2qCDpx1vm67g6/RnSIq/pnYcIYSotSo8MvTpp5/y0ksvAdCwYcMy2yUlJfHee+/dfTIhxF2xt7agh3k4TQqjCTm1D6dBU9SOJIQQtVKFi6ExY8Zw9epVTp48yfPPP1/i/W+//RZ7e3v9XV5CCPXF27WlSUoU2RGHACmGhBCiNBUuhnx9fXn88ccZMGAAvXv3LnY7e3Z2Ni+88ALLly+ndevWBgkqhKgCr66QshW7xGC1kwghRK1VqXWG2rVrR6dOnejduzcbNmzg4sWL/Pnnn/Tt2xcHBwcGDhxoqJxCiCpwCegNQFPdRfLzclVOI4QQtVOlF1389ttvsbW15b777sPf359hw4aRkZHBmjVr9A9TFULUDt4tAklXrLDW6Ig8f1TtOEIIUStVep2hxo0bc/jwYY4cOUJkZCTu7u706NGjzCfHCyHUY6LVcsWyFW11J0i88C/N2/VUO5IQQtQ6lS6GADQaDd26daNbt27VnUcIUc0yXDoRFhnHlRu5yL9YIYQoqUrFkBDCeOh6vsTA0H74pFszUe0wQghRC8kkHyHquEBvRwCuJGWRmKFTOY0QQtQ+UgwJUcfZW5vRwtUWU/IJCYtSO44QQtQ6UgwJUQ88Z/MXpyyewPagrA4vhBC3k2JIiHrA1c0Ta42Ohkkn1I4ihBC1jhRDQtQD7u36A9AsL4zszHSV0wghRO0ixZAQ9UBjbz+u44iZpoDLIfvUjiOEELWKFENC1AMaExOibNsBkHZpv8pphBCidpFiSIh6Is+jaMlF6/hjKicRQojaRYohIeoJ54C+ADTLPkNBfr7KaYQQovaQYkiIesInoCs7lS4szx/JpZgkteMIIUStIY/jEKKeMDUzY5X3IvaHJuIWnU0rb7UTCSFE7SAjQ0LUI118ih7NcfRKsspJhBCi9pBiSIh6pLNPQ1xIxjp8K0phodpxhBCiVpDLZELUIx3cLPjXYiZm+QXERI7Dvam/2pGEEEJ1MjIkRD1ibdOAcPOWAFwL+UvlNEIIUTtIMSREPZPs0hUAzZV/VE4ihBC1gxRDQtQzti2K1hvySj0BiqJyGiGEUJ8UQ0LUM8069idP0eJGAjFXLqodRwghVCfFkBD1jE0DB8LNWgBwLeRvldMIIYT6pBgSoh6SeUNCCPE/cmu9EPWQWYeJzLxiS2RORzaqHUYIIVQmI0NC1EOt2ndjK704mWpF1I0steMIIYSqpBgSoh6ysTClrac9AIcjbqicRggh1CXFkBD11GB3HTO0mzA7ulztKEIIoSqZMyREPdXTIZl2ZmuIiXcBFqkdRwghVCMjQ0LUU807DSBP0eKuXCf68nm14wghhGqkGBKinrJp4ECYedGDWq8d36pyGiGEUI8UQ0LUYymNewFgFrlX5SRCCKEeKYaEqMcath0MQLOM4xTk56ucRggh1CHFkBD1mG+HPqQrVjiQQcTpA2rHEUIIVUgxJEQ9ZmpmTphNINmKOZcvnVI7jhBCqEKKISHqudDOC2mv+4pVaZ3VjiKEEKqQYkiIeq5T2wByMePYlWSycwvUjiOEEDVOiiEh6rlmzja421uSW1DI0csJascRQogaJ8WQEPWcRqPhmUYh/G3+EuZ73lA7jhBC1DijexzHgQMH+Oyzz4iPj6dt27a88soruLq6ltn+vffeY8OGDcW2NWvWjNWrVxs4qRDGo6VbA/yuRWOScFDtKEIIUeOMqhjat28fAwcOZPbs2dx///0sW7aMnj17EhISgq2tban7hIWFYWZmxptvvqnfZmNjU1ORhTAKTbsMg2Mv0bzgMolxUTi7eakdSQghaoxRFUPz589nzJgxvP322wAMHDiQxo0bs2LFCmbPnl3mfk5OTvTq1aumYgphdJxcPQk19cMvP5TLBzfgfN+zakcSQogaYzRzhrKysjhw4ACjRo3Sb7OxsWHgwIH8/fff5e577NgxBg8ezIQJE/jkk0/Iy8szdFwhjE5i474AmIb/pXISdehysoi7GkpiXBR5uTq14xiV1KR44q+Fk5wQi1JYqHYco5Gfl8uN69HERl4kOzNd7Tj1mtGMDEVFRVFYWIiHh0ex7R4eHuzatavM/aysrJg4cSJ9+/YlOjqaxYsXs379enbv3o1Wqy11H51Oh073v1+GaWlp1XMSQtRiToEjIepr/NKPkperw8zcQu1IBhd+6gCJ+77GPekgXkoMbv/dPil/ITr3Lgxp7cbYjh64NLBUNWdtU5Cfz6mdP1J4+jeaZpzAkTTs//teKjbscrgf+r7IsLaNsTAt/fdsfZWSlcvWI+dpf+AZmuku4qjJ1b8Xo3HhmkNX7Ho8QsvOA9CYGM14hdFTtRhavHgxW7eW/7TstWvX4uHhoR/NsbQs/kvJysqK3Nzc0nYFYMmSJcX26du3LwEBAaxfv56JEyeWuc/ChQsrehpC1Am+7XtzY5Mdjpo0zh7dQeuew9WOZDCRF06QuuEl2uUco/kt23MVLQoagvOboLuaQvDVFK7v+ITB7jpaTXoL+4bOqmWuDRRFYduZOPZt+YElOW8Vey9XMcVck489mRxMMGXd2pO8s+0iswb4cn9nr3r/wZ6dW8CKfZf5cl84WbkFbDZPx8qk6LPr5vfOXbmOe/IfXPnjKBOOreT/RrWhnaeDusHrCVWLoQkTJtCnT59y2zg5OQHg6OgIQFJSUrH3k5KS9O+V5vbiqUWLFjRp0oSQkJAyi6G5c+cWm4OUlpaGl5dMKBV1m4lWy0mnYVyPjyM9toDWagcygMJChRX7LxP99/e8aXqMfMWEk3Z9MWk7niYd+tHQuTGKorA9OYcD4UlsOnKRmYm/4BCfSfzHfxE16GPa9Byp9mmoIiUrl1d+Pc22s3Fo8GecZQB5jTvSMHAM3gFdsba1Jycrg6iLJ/CJs8E1OJnY1ByObVxGmx2HcXlkNY3cfdQ+DVWEhuznxubXWZH5NFlY4e/WgHD/pdj5uODp2w4zExNSU5KIPLmXnJO/siWpMceupjL6s395sk9zXhjki5mp0VzIMUqqfnf9/Pzw8/OrUFt3d3dcXV05fvw4I0aM0G8/cuQIPXv2rPAxCwoKSEpKwtrausw2FhYWWFjU/UsEQtwuo8/rzPk5GL+rtjyudphqlp1bwMw1wfx9Lh4T+tPbMZXWY16gU7PiZZ8G8HG2wcfZhsldPDm19xMy9r2KpxKL818Pcejqy3SfPE+dk1DJlfPHuLp+Hvsyn8TUxIqnglrQqs8+bCzNirWztLbFL7APfsCjAwv44d9QRu5+BtfcZBJX9OXCiJX4dx6gzkmo5NjmL2l3bB5+mnzmW/9Og9HvMqJdYzQaTbF29o6NaNdvPPQbT5O0HFK3nmdDSAwx+78nNHgvHjN+x96xkUpnUfcZ1bjltGnT+Prrr4mNjQVgw4YNnDlzhmnTpunbLF26lKlTpwKQm5vL+++/r7/EVlBQwLx588jMzGTcuHE1fwJC1HJ9/BqhNdEQej2DqBtZasepNqk3Etn14SPsP3cVc1MTFo1tz6Dnv8GjWfnjXxoTE9r3G0/D2Yc46nAvWo1C94tLOfjls/VmonBo8D4arh1Fn4LDvGGzng3P9OSFwS1LFEK3szTT8niQP3kP/UGESROcScF782RO79tYQ8nVd+jHN+h8/GXMNfkEW9/DsKffZ2R79xKF0O1c7Sz5aFIgX0xqw3yznwjIPU3ysv4kxFypmeD1kFEVQ6+//jpdunTB19eXgIAApkyZwscff0y3bt30bUJDQzlx4gQAZmZmJCYm4u7uTmBgIO7u7qxbt47ff/+dgIAAtU5DiFrL3tqMzl72tNeEcfrwTrXjVIvM9BRiPx/B8OxNvGf5DT893o3JXb3v+IF0K5sGDnSe+RMHm80EoEfsag59PctAiWuPsJP/4rbhfuzJ5KJpSwbM+IA2HvZ33vEWnr5tcHl+H6csu2Ct0dFi52Oc+WeTgRLXHod+Xkz30PeLvnadRPsX/sDB2e0OexU3tEMTsu5fw3Uc8Sm8StbXI7hxPdoQces9jaIoitohKuvq1avEx8fTokUL7O2L/8MMCwsjPT2dwMBA/bacnBwuXrxIw4YN8fT0xKSSE/nS0tKwt7cnNTUVOzu7ajkHIWqrf79fSM/wDzhp1ZX2c8pftqK2y8/L5dz7Q2mXc5xUbEgc9xvN23a/qz4Pr32bbueXsCp/MMrQt5nWq/mddzJC0ZfPY7F6KM6kcM6sDd7P/oGtXcMq96fLyeLcJ+MIzDpAhmJF/PgNd/13UVsd2/INnY8WzTs96DGN7o99cFcTyGMiLqD9bhiuJBGq9cXj+V1Y21auKK2vKvr5bZTFUE2TYkjUJxFnj9D0l0HkKGYUvhRu1L90D3/2GN0S1pOlWBA1cg0tO/evln5/2bSJlw5oMdHA1w93pr9/2Y8EMkYZackkftQbn8IoLpv44DxzF3YOTnfdb052JuEfDqF17mnWaocz4PlvcbatW/Mzgy/H4v5dD1w1yRxyuZ9uM76sljvpIi+GYPfzSBqSxgnbvgTO3lDv79CriIp+fst3UghRjE+rzsRoXLHU5HHx3w1qx6myoxuW0S1hPQAX7nm/2gohgPEjRzKxsxeFCsxec4Lo6Khq61ttiqJw9qvH8SmMIoGG2D62oVoKIQBLKxs8n9rA+xZPMydzCs/8eIK8groz9yopQ8dTa84xKfdVdtrdR5fpy6utYGnSsgNx935NrqKlY8Zedq37uFr6FUWkGBJCFKMxMeGqS1HhUHDWOOd2RF4MpnXwGwAc9H6SjkMeqtb+NRoNb45pQ5AnLCt4k6yVY9Dl1I0J56sPRvJGYj8iFDeShn+Ni0fTau3fvqEzox+bh425KYcjbvDJztBq7V8thYUKz687SVxaDhpnX7o98zXaar4dvlW3IQS3fZVP8sfw1ClfjkfeqNb+1XIjM5d8lYtiKYaEECU4dCq627Jl6r/k6nJUTlM5ufmFLNt8iCwsOGPRga5TFxvkOOamJrw9qgWttVfxKwjjxOpXDHKcmhQan87irec5qzRlz4A/8O8y0CDH8XVpwNLx7WhAFk33z+bcoW0GOU5N+nfjl+hC92FpZsLnD3TE1sIwK9d0Hfc8Ya1nkVtowsyfQ8jQ5RvkODWlsKCApavWcd/nBwhPyFAthxRDQogSWnTqTyIONNBkc+HAH2rHqZRlu0L5JdGbKdr3cZv2fbX/7/xWbt5+RPRYAkDX6NVcOGK8E87z8/JY+vN2dPmF9G3RiEd6+xr0eCPaufOpxw7Gav/BYftMo342V2zkJTqGvM5aizf5qGs6/m6Gm1uq0WhYdF8bvBytuJ6Szu+/fGewY9WEo7++z5Lr/2FEwleYqTgHSoohIUQJJlot4U5BAKSf+VPdMJVwJjqVz/aEA/DcmN44u3kb/JgdhzzEUfshaDUKVtueN7qRtJuO/bKUz5Jn8JTlX7w7vl2llh6oqs4Pv00czrgr8YT8aJwLWSqFhST8/BQ2mhzOmwUweJjh17BrYGnG0pG+bDKfzwOhL3Dh6A6DH9MQYq5cpO3Z9zDRKLRv1RJvp7IXQzY0KYaEEKUy7fEU9+teY1byBAoKa/9Np4UFBaSvnsRw/mFYG1eGt2tcY8du8fBn3MCOJoVRHF+7qMaOW13ir4XT9uKnWGjyCGrtjYtdzTyY1tauIXE93wSgc/SPRJw7WiPHrU5HN35Gu5xj5Chm2N7/BSZlPAC8ut3TypsMx9aYaBQs/5xllHPWrq97DmuNjnNmbeh6/xxVs0gxJIQoVbvArly0bEdCVgFHr9T+iZrHNn1OD90Blph9w4KBNXuru71jI8I7FP0ybx/+JXFXjWtScPTPz2GjyeGCWQBdxs6q0WN3GDSFYOuemGkK0P0+k8KCgho9/t1Iir+G/8miy6Qhvk/j5de+Ro/v9+DHJGGPT2EUJ356vUaPfbdO7v6FDlkHyVO02Iz7tMaKyLJIMSSEKJWZ1oSBrYqKim1n4lROU77U5ESan3wXgNN+M3Bxq/kHK3ce9TTnzVpzTXHmq7+O1/jxqypkx890zNxPnqLFYsxHqnwoNZ78CZmKJf555zj620c1fvyqCls3DzsyCdM2p/OkV2v8+A7Oblzp8n8AdIpcSfTl8zWeoSp0+QWEHCiaX3fc7X6a+HdUOZEUQ0KIcozyM2eh6beMD364Vv+P/fxPc3EilUgTTzpOmKtKBo2JCWaTv2dk/tt8E9aA3Reuq5KjMvJydTj/uwCAY+6Tadq6W/k7GIibly+nWz4LgPvZL0nNrP3zri6fP0HnxKKlJ3IHLcbUzFyVHB3vfZTTFh0x1+QT/5u6l5oqauU/V3g9fTTTtEtoPcUwd3tWlhRDQogydfP3Zpz2H9oooVw8VjsnaV4+d4TO14sWV0wLegtzi5qZ71Ia32bNmdqz6C6sN7ecU33tlDsJ3vQZnkocSdjTboq6c506T3iZby0eZGTOG3y+L0LVLHeiKAqv/6Njdt5T7La/j4DuQ1XLojExwWbk2xQqGjpm7K31dzTGpebw6a6iy8gjh4+igb2jyomKSDEkhCiTpZUN5xsGAZB25EdVs5Ql7Y//w1RTyAmb3rTtc5/acZg5wA9XK4UBN9ZyZNMXascpky6/gCPnI8hWzAltMR2bBg6q5jE1M8d7zP+RQgO+/fcK0SnZquYpz64L19kffoM/NX3wffhztePQrE03jjkOZ39BGz47lEhtfsrW/l8+wikvhk5NGnJfoIfacfSkGBJClMuq02QA/JN21Lo7Vi6cPkqHrIMUKBqcR7+ldhyg6LbnD1qeY77ZT/idfKfWrp+z5kgU72UOZbz553S473m14wDQ39+F7s0cyc0v4KdNW9WOU6q8XB3v/HESgEd7NcXLUb3bwW/l89DnPKl5lc0xdvxxKlbtOKWKvnyW+6KWssv8RRb0tq2R5RsqSoohIUS5WvUYznUcsSeTc/t+VTtOMUuOKkzUvcZW1xl4t+igdhy9zmP+Q4zGhUYkE7J+idpxSsjOLWDZ7jAAJg/oiqWVjcqJimg0GuYNbs73Zkt4Ifwxwk8dUDtSCcGbl/NdxnSmWh3gmX7N1Y6j5+Joz4y+RZdol267QG5+7btEG7NxIaaaQs5ZdaRtm3ZqxylGiiEhRLm0pqaEu90LgHJyrcpp/ud45A32XkrgmCaAdhNfUztOMRaW1sQEvgBAm8srSUmsXXfj/bPpK7wyTuPZ0Ir7O9f8nXflaefjgpWDKyYahcytNX+HVnlydTl4nV6GmyaZYb4WNLA0UztSMU/0bkYr2yympa/g+IZP1I5TzNVLIXRM+QsAq8G1698rSDEkhKgA114PA9Am4yCpNxJUTlPki+1Ft69P6ORJE6faMbJxq47DnyBc27TokSa/LFA7jl5G2g06n3mL3ywWsLhtPOamte9jwH3sYvIULe1yjnPh8F9qx9EL3vQZjUkgEQc63Ddb7TglWJlrWeAbymOmf9LszCfkZNeey9rX/3gTrUYh2PoeWnTsq3acEmrfvwIhRK3TrE03jpp25NuCIew8e03tOJw9sJWPoh/gBbP1/Ke/YZ+hVVUmWi2ZvYpGNjrErSch5oq6gf7rzK9LaUg6URp37hlk+EdHVIV7U3+CnYYBkL+rdqzorcvJosnZ5QCEtXgCS2tblROVrv3o57iOI64kEbKxdowOXTl/jI6pOwGwG1r7RoVAiiEhRAUd7/01S/IfYM05ddeAUQoL0exZjI1GR1eXQjwb1o4JrKVp23csF8wCsNTkcfm3N9SOQ+qNBAIiVwMQ33m2amvjVITX6NfIVbS00YXUiqfah2xahhsJXMeRDmNmqR2nTJZWNkQEPAVAswtfkpOl3pPgb7qx5Q1MNAonbPrQvN09ascplRRDQogKGd3BHY0GjkTcICIxU7UcZ/7ZTEDuaXSKGT73/Z9qOSpCY2JCft+5/FnQhTdjuxGj8u3i535dhB1ZRJg0oePQR1XNcieNm7Qk2HkEAMoudRfm0+Vk4nOuaJmECP/ptXZU6KYOo/5DHM64cIOQDR+pmuVcdCp7k51JU6xpOLz2/nuVYkgIUSGN7a0I8nOij8lJTm9RZ20VpbAQ831FH4zBLmNw9aw9d/OUpU2vUXzn9SZnCjz1d3Cp4cb1aNpf+wmAlO4vq/4sqIpo8t/RIeucOI6dU+979+/2X3Alies40n70TNVyVJSFpTVX2zwNgO+lr1Rd3uGjnaF8XDCOBS1+o2lAF9Vy3IkUQ0KICpvZNJrV5kvpG/GhKsPvp/b+Ssv8C2Qr5viOq73/y7zd7EEtAVh3NIqoJHVG1S79+ibWGh2hWl86DJyiSobKcvP2Y2WLzxiY+x7v7ldn4n5OXgFzz3oyUvcWpzu9WWuWIbiTwFHPEKNxwZkUTv7+gSoZTl9L5a9z8Zho4OlBbVXJUFFSDAkhKqxd79HE0gh7Mjn917c1emylsBDrf5cCENJ4PM5u3jV6/LvRtakjo5oqvGmygugfZtT48ePTcvgtpiHXFGeye72CxsR4fvWPGj4GrdaMwxE3OBCeWOPH//nIVeLTdCTZBdDr3sk1fvyqMjO3JKrdLFbmD+X1y63I1OXXeIaodS/Ry+Q0o9u74+tSuy8tGs+/CCGE6rSmplxpOhEA+zOra/TYhw79g3deBFmKBS3H1q71Zyri6U5WTDbdTecbf3At7EyNHvuz3WGsy+vFi64radu3dt5BVhZ3BysmdvHCnDwObv4WpbDmFhPMycpg/e4jADzT3xcL09p/afFWHUc9xXf2M7iYZcN3B6/U6LEvHNvJsLS1rDJbyvPdau9NDjdJMSSEqJQWQ58iV9HSIv8SoSH7a+SYhYUKbxzV0E/3AdtavomjS+15plFF+XcewEmrrphqConbtKDGjnstOYufj1wF4LkhbYxqVOimp/t4s91iDi+kvMXZfzfX2HFDfv+A3/KeZq7tFiZ0ql2LU1aEmdaEmf39AFix7zLp2boaO3be30WPxznRcCjeTVvW2HGryvj+VQghVOXk6skp+34AJO9dXiPH3H42jvOxaaRZuNFv9LQaOaYhWA8pmucUmLqDyAsnauSYF356hTHspndzB3o0d6qRY1a3xo52XG/UEwDtvqU1MjqUnZmOb+g3WGjyCWzlVysXp6yI0R3cGdwwno/z3uTM2gU1cszzh7fRVneCPEWL5+jXa+SYd8s4/3aFEKqy6TkdgLY3/iY5wbAPhSzIz2fj9u1A0YMxG9rU3rVx7sSvQ2+CrXui1SgkbjH8ukNRYWcIuv4975qtYF5grsGPZ0jNxv4fOsWMVnlnOfOP4UeHTv7+Ps6kEKNxJXDk0wY/nqGYak2YHpBHX+0pAq58R1pKksGPWbizaKHME07DcW/qb/DjVQcphoQQlebfZRBh2uZEKq5s+fe4QY8VvG0lX2Q8x4eWK3isV1ODHqsm2A8r+p9yp/TdRJw9bNBjxW1agKmmkJNW3WjVuZ9Bj2Vojdx9CHYZA4DZ/rcNOjqUlZFKi7BvALjW7j+YmVsY7Fg1IfDex4g08cKeTM7+ttSgxzrz72Za554iVzGlyRjjueNTiiEhRKVpTEy4PGQVQ3Pf5v1T5mTlGuZOlfy8XFyPfwiAWxN/7K1q14Mxq6JZm26csC16NlPCn4b7YLpy/jidUncAYDPUeD6UyuN732vkKGb4553jzP4NBjvOqd/ew5E0rmnc6Dii5u/+q25aU1MSOz8PQOur3xvs+YJKYSGme/67DlijUbh5+xnkOIYgxZAQokoGdG5LEycbkrPyWHMkyiDHCN6yAi8lhhRsaTvuFYMcQw1Ow1/ns/zRPJE4kTPRqQY5RtIfC/SPQPBt38sgx6hpzu5NCHEdC4D5fsPMHUpNTqTV5aJRodj2M2v1I0sqI3DII0SYNMGOLM7/tsQgx9gfmshnmf05p/jQtJavDn87KYaEEFWiNdHwZJ/mWJFD8q6Pq30RxpzsTLxCPgLgQrNHsbVrWK39q6lJq05cavM8qdjy4d+Xqr3/sJP/0ClzH4WKBscRxjGBtaJ8x75KtmJOjM6C/Wcjqr3/7X9twUzJ54qJNx1HPFnt/avFRKslpdsLALSJ+omUxLhq7b+wUGHp9otsLryH9Z1+wsXDuC5pSzEkhKiy8Z08WW/1Ni8UfkvI7+9Xa98hv76DGwnE40SH8XOqte/a4LkBfphoYOeFeE6GV9/ImqIoZG+ZD8AJ+wH4tOpcbX3XBs5u3nwduJ5peXN4a8c18guqb3ToeloOr59xpa/uQ2IHfILW1LTa+q4N2g98kHBtM2w12Zza+GG19r0pJJqzMWk0sDDlmf6+1dp3TZBiSAhRZeamJmS2eQCAFqFfk5GWXC39pt5IoFXYVwBEtp9V6x+MWRXNGtnydEAu68zfQPPLI9XW764L1/m/9Ps4WNgaj3HqPuDUUKYOvgd7KzMuxWew/vi1auv3k12hZOcV4OXtQ/d7gqqt39rCRKslpedrzM97lGcje3M9Lada+tXlZOK3eQwPaf/i6T7eONka34RzKYaEEHclcORTXNM0xpE0Tq9dWC19btixh2zFnAiTJnQy4tua72RyT38CNWG0yznGhcN/3XV/+QWFLN56nmDFj709VtK4Se1f7K4q7K3NmDnAj0akULBtLpnpKXfd57Xwc4QfLfo7mDPUH41Gc9d91kYd+93HWffxpOZq+KCaLtEG//oerZVQnjXbxCPdPaulz5omxZAQ4q6YmVtwvXvRZZnAaz8QF3V3TxePSclm0SlbgnQfEDd0RZ27VHErj2atCHYaBoCy4/W7nhC87nA44QmZONqY83S/5tURsdZ6qJs3P1m/ywOFf3Bq3Vt33d/13+fws9kbfOS6jW7NjHNxyorQaDS8NqIVAL8fi+BS+N39e029kUCr0C8BuNL2OaxsGtx1RjVIMSSEuGuBgx7gnFkbLDV5RK978a76WrT1PLn5hbRv2pjuXbpVU8Laq8nYhWQpFrTKO8exzV9UuZ/01Bv0+2soc0x/5oV+nthZGv8yBOUxN9OS3nUWAO2vruZ6dNUnU5/e9zsdM/aRr5jQfvCD1ZSw9urUxJFnfJPYbvYS+Wsfuasi/PyaediTWTThfJTxjuJKMSSEuGsaExPMR7xDgaKhU/puTu1eX6V+Tu79HZuzP6HVFPLaiIA6e6niVq6ezTnZ7AkAmgYvJTW5ak9mP/f9izQmkRFmx7m/a7PqjFhrBQ6eynmzAKw1Oq79NLNKfehysrDfUzSyecxlHE1b1/0CHODBQd1w0aQQkHuaY5s+r1IfYSf/oUv8LwCk9Vlg1MsQSDEkhKgWvu17ctT1fv4s6MKCw4Vk6iq3EGNGWjKN9szhHbOv+Nz3GG087A2UtPbpNOk1rpp44EwKl777T6X3P394O10SfgMgtf/bRr9ickVpTEwwH/UheYqWjpn7OLH9+0r3cWL1HLwLo0nEgVZT3jZAytqpcZOWnGpetHSAb8hSEuOuVmr/vFwdyqbn0GoUjjfoT7ugcYaIWWOkGBJCVJs20z7lTeu5nEixYcGms5Xa99zKp3FX4onDmZ4TZhkmYC1lbmFJ1tCPKFQ0mN24yM5TFb/kk5aSRINtz2GiUTjScDhteo82YNLap3nb7hzzfAiAJgfnkxgTWeF9LxzdQdfoogIq6p5F2Dd0NkjG2qrTpFcJ1zalIWnErHq0UpfL1m/4lab5l0nDhiYPfGzAlDVDiiEhRLWxtbLgw4kd0Gjgl+NR7Nq7u0L7Hdu0nK4pWylQNNwYsqxOLbBYUf5dB7PG/xPG5S5k9u+hXEnMvOM+SmEhYV8/gqcSSxyNaPmQ8X8oVUXgg4u5bOKDE6mc/P7lCq09lJCchv2WGWg1CkftBxNYD+YK3c7M3ALt+K/JUcxol3OUwz8uqNB++y4lMC/YnvG5C7h4zwc4u3kbNmgNkGJICFGtujVz4rm+PrxjuoJeu8Zz9sDWctufO/gn7Y6/CsARr2kE9Li3JmLWSuMmPEB7bydSs/OY/t0RUpLLf8L4wZUv0TFjH7mKltQRK7B3bFRDSWsXSysbzCavZq0ykP8k38/8389QWKiU2T47t4Cn1pxhbu40zpm0oOW0qk9cN3Y+rTpzMuAlALqGfcKxHevKbX8uOpWnfzyBooB/5350GTypJmIanBRDQohq9+zAlvjaK5hr8mmy/dEyJ1Sf3PMr3tumYa7J54RNH7pNe6+Gk9YuFqZavniwE64NzHkg+TOSP+1X6mWfwkKFD/66yLeX7dApZgS3mUfLzv1VSFx7ePm1x37CZ+g0lqw9FsXrv58gV1dyUcG0rGymrjzMschkjpt3xnLGLuwc6u6t9BXRdcJLHHYey/7CtjyxW8vGkOhS2104thPlq36450bQrakjC0e3ruGkhqNRFKXs8lkAkJaWhr29PampqdjZ2akdRwijkJOVQfhHw2ide5ICRcNRt4k0HfkyLh7NiEvL4at9EUQc2sBXpu9y0aItzWdtrZMrTVdFeEQ4dt8NoBHJJNOA0LYv0Grgw9g2cOD8yUMsPq7ln7Ciu87e6mfHg0N6q5y49lh//Bov/nKSN0y/pbtlJLl9XyXgnhHocrI4t2ctbkff4VHd88RYNGPVtC50auKoduRaIT8vl1lrg/njTNHP1bQOtjzW2RGPZq25kRDDpT8+pOPV77DQ5HHStC0+s3dhb1377x6r6Oe3FEMVIMWQEFWjy8ni5BeP0TXlf5fKzitNuFf3v6dmv9IynkenTMHcwlKNiLVW9OWz5P4whaaFVwDIV0woRIO5poDBuqVcNW3CG6PacH8XL3WD1kJ7jp+m4+Yh2FE07ypfMUFBg5mmAICd2l40fuxnAtzl9/mtCgoV3v7zPF/tj+At02940HQn2Yo5VppcfZtg63to8dTP2DRwUC9oJUgxVI2kGBKi6pTCQk7v+x3zf9+jRe55FKBt7kr8vVyZNbAFvf2c68V6QlWRl6vj+NpFeFz+BS8lBoAcxYzfPOfQdfRT+LrISFpZ4q6GErlpMW0StmKjKbpcFkcjrniOov3khUa7UnJNOB6RgOmaiQTkhOgLyHBtM1I7z6TD4KmYaLUqJ6w4KYaqkRRDQlSP7Mx0EqLDaeTdCivL+rEWTnW5Hh1BYWEBDs6NsbSyUTuO0cjV5ZCSGEtBfi5uXn5oTGSqbEXlZGdyPSoUR7cmRnuHpxRD1UiKISGEEML4VPTz2+iegJibm8vOnTuJj4+nbdu2dOrUqUL7RUdHs3//fqytrRk4cCDW1tYGTiqEEEIIY2BU44UJCQl06tSJWbNmsWXLFgYOHMiMGTPuuN+iRYto0aIFP//8Mz///DP33HMPkZEVX6VUCCGEEHWXUY0MzZ07F4Dg4GCsra05fvw4Xbp0YeTIkQwfPrzUfdauXcuCBQvYvXs3vXr1AuDKlSvI1UEhhBBCgBGNDBUWFrJu3TqmTZumv8TVqVMn7rnnHtasWVPmfu+88w7jx4/XF0IAPj4++Pj4GDqyEEIIIYyA0YwMRUVFkZ6eTkBAQLHtAQEBHDt2rNR9srKyCA4O5qmnnuLUqVMEBwfj7u5Onz59sLAo+04WnU6HTqfTv05LS6uekxBCCCFEraNqMbR7924uXrxYbpspU6ZgZ2enL0gcHByKvd+wYcMyi5UbN26gKArr16/n/fffp0uXLhw7doycnBz++usvfH19S91vyZIlLFy4sPInJIQQQgijo2oxdPXqVUJCQsptM27cOACsrKwASE9PL/Z+WlpamXeG3dzn+vXrnDp1CjMzMwoKCujVqxcvvPACGzduLHW/uXPnMnv27GLH8PKSVV6FEEKIukjVYujhhx/m4YcfrlDbJk2aYG5uTkRERLHtERERZY7wODk54ejoyMCBAzEzMwNAq9UycOBAfvjhhzKPZWFhUe5lNCGEEELUHUYzgdrMzIyhQ4eyZs0a/Z1gMTEx7N69m1GjRunb7d27l3Xr1ulfjxkzpsTo08mTJ2nWrFmN5BZCCCFE7WZUK1BfuHCBe+65h169etG9e3dWr16Ni4sLu3btwtS0aJDr8ccf59ChQ5w5cwYoWmyxR48edOnShZ49e3L48GG2bNnCrl276Nq1a4WOKytQCyGEEManop/fRjMyBODv78+pU6fo3r078fHxvPjii+zYsUNfCAEEBQUxceJE/WsPDw9CQkLo1asXV69epVu3boSGhla4EBJCCCFE3WZUI0NqkZEhIYQQwvjUyZEhIYQQQojqZjSLLqrp5uCZLL4ohBBCGI+bn9t3uggmxVAF3FzbSNYaEkIIIYxPeno69vb2Zb4vc4YqoLCwkJiYGBo0aIBGo6m2fm8u5hgVFSVzkQxIvs81R77XNUO+zzVDvs81w5DfZ0VRSE9Px93dHROTsmcGychQBZiYmODp6Wmw/u3s7OQfWg2Q73PNke91zZDvc82Q73PNMNT3ubwRoZtkArUQQggh6jUphoQQQghRr0kxpCILCwtef/11eQ6agcn3uebI97pmyPe5Zsj3uWbUhu+zTKAWQgghRL0mI0NCCCGEqNekGBJCCCFEvSbFkBBCCCHqNSmGaplr167xwgsv0L9/fx555BHOnz+vdqQ67auvvqJ79+58+eWXakepczIzM/nkk0+47777GDZsGK+99hpJSUlqxzJqsbGxPPvsswQFBTFx4kT27dundqQ66e+//+bRRx9lwIABPPbYYxw9elTtSHXe448/Tvfu3Tl16pQqx5diqBY5ffo07du3JzY2lrlz5zJ8+HCmTp1KQUGB2tHqpJCQEN566y0uX75MVFSU2nHqnAEDBnD58mWmTp3KM888w969e+nWrRspKSlqRzNKaWlp3HPPPYSHh/Pyyy/j6+vLgAED2LNnj9rR6pSlS5fy3nvv0bt3b+bNm4eLiwvdu3dn69atakersz788EMOHz7M4cOHVXsGqNxNVot0794dR0fHYv/ocnJysLS0VDFV3ZSZmUmnTp344IMPmDlzJpMmTeKtt95SO1adkpGRga2trf51amoqzs7OfPPNN0ydOlXFZMbp3XffZfHixcTGxup/J4wfP574+Hj279+vcrq64/afW4CxY8eSkZHBX3/9pVKquuv48eOMGTOGNWvW0KtXL/bv30+vXr1qPIeMDNUSoaGhHD58mKeeeqrYdimEDOOZZ55h4MCBDBs2TO0oddbtHyiWlpaYmpqSm5urUiLjtnPnTgYOHFjsd8Lo0aM5cOAAWVlZKiarW27/ub25TX5uq19GRgaTJ0/m888/x9XVVdUsUgzVEufOnQPA0dGRqVOn0r9/f2bMmMGFCxdUTlb3/Pjjjxw5coR3331X7Sj1ygcffADAkCFDVE5inCIjI3F3dy+2zd3dncLCQq5du6ZSqrrv0qVLrF+/njFjxqgdpc556qmnGDBgACNHjlQ7ijyo1ZAmTJhQ7lwUJycntmzZAhRdDgN4+OGHeeWVV/Dx8eGnn36iY8eOHD9+nFatWtVIZmM0b948du3aVW6brVu34ujoSFhYGM899xw7duzAysqqhhLWDatWreKLL74ot81HH31E9+7dS2zfvHkz//d//8eKFSvw8vIyVMQ6LS8vr8QKvTd/hvPy8tSIVOclJCQwatQoevXqxbPPPqt2nDpl1apVHDt2jOPHj6sdBZBiyKDmz5+vL3JKY25urv/a0dERgOeff57HH38cKJqA+u+///LVV1/p/1ctSpo2bRqjRo0qt02DBg0A+PXXX8nLy2PGjBn6965du8aqVavYv38/e/fuNWhWYzZo0CD8/f3LbVNa0b5t2zYmTJjAu+++y7Rp0wwVr85zdHTkxo0bxbbdvDvPyclJjUh1WlJSEgMHDsTNzY0NGzag1WrVjlSnfPfdd2RlZdG/f38AdDodAE8++SQjRoxg6dKlNZpHiiED6tChQ4XbBgYGotVqiw2DazQaXF1dSU5ONkC6usPPzw8/P78KtX3ooYfo27dvsW0TJkxg4MCBJeZrieI8PDzw8PCo1D7bt2/nvvvuY8mSJcyaNcswweqJjh07cvDgwWLbDh8+jJubG25ubiqlqpuSkpIYMGAADg4ObNmyBWtra7Uj1TmfffZZsTvHrl27xoQJE3juuecICgqq8TxSDNUSzs7OjB07lq+//pphw4ZhYWHBsWPHOHLkCE8++aTa8eoMd3f3EvMuLCws8PDwoGvXriqlqpv+/vtvxowZw+LFi3n++efVjmP0Hn30UVasWMGGDRsYM2YM165dY+XKlTz22GNqR6tTkpOTGTRoEPb29mzduhUbGxu1I9VJAQEBxV6HhYXpt7do0aLG80gxVIt88cUXjB8/Hg8PDxo3bszly5eZPXs2DzzwgNrRhKi0Bx54AI1Gw9q1a1m7dq1++9SpU3n66adVTGacunbtyrJly3jggQfw8PAgKiqKkSNH8tprr6kdrU558803CQ4Opm3btgwYMEC/3cXFhU2bNqmYTBiSrDNUC0VGRpKWlkazZs3kfyU1ICQkBGdnZzw9PdWOUqccO3aM/Pz8Ets9PDxkEvVdSE9PJywsDFdX1xKjnOLuXblyhbi4uBLbLSwsCAwMVCFR/aDT6QgODqZ169b6OZ41SYohIYQQQtRrss6QEEIIIeo1KYaEEEIIUa9JMSSEEEKIek2KISGEEELUa1IMCSGEEKJek2JICCGEEPWaFENCCCGEqNekGBJC1Gtz587l0KFDascQQqhIiiEhRL2VkpLC0qVLMTWVJxMJUZ9JMSSEqJeOHDnCY489hqIoLF++nBkzZrBt2za1YwkhVCD/HRJC1EsWFhYUFBTQrFkzunTpAkDTpk1VTiWEUIM8m0wIUW9NmzYNRVFYtWqV2lGEECqSy2RCiHrr5MmTtG/fXu0YQgiVSTEkhKiX8vPzOXfunBRDQggphoQQ9dOFCxfQ6XS0a9dO7ShCCJVJMSSEqJciIiKwtLTE2dlZ7ShCCJVJMSSEqJc6dOiAiYkJ9957LzNmzCA0NFTtSEIIlcit9UKIesnLy4vz58+zb98+MjIycHV1VTuSEEIlcmu9EEIIIeo1uUwmhBBCiHpNiiEhhBBC1GtSDAkhhBCiXpNiSAghhBD1mhRDQgghhKjXpBgSQgghRL0mxZAQQggh6jUphoQQQghRr0kxJIQQQoh6TYohIYQQQtRrUgwJIYQQol6TYkgIIYQQ9dr/A62VGpMTbpeIAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Example: apply smoothing and rotation in either order\n", "bar_static = SoftenedNeedleBarPotential(normalize=0.05, omegab=0.0)\n", "\n", "grow_then_rotate = SolidBodyRotationWrapperPotential(\n", " pot=DehnenSmoothWrapperPotential(pot=bar_static, tform=-4.0, tsteady=2.0),\n", " omega=1.8,\n", ")\n", "rotate_then_grow = DehnenSmoothWrapperPotential(\n", " pot=SolidBodyRotationWrapperPotential(pot=bar_static, omega=1.8),\n", " tform=-4.0,\n", " tsteady=2.0,\n", ")\n", "\n", "ts_compare = numpy.linspace(-6.0, 4.0, 301)\n", "phi_grow_then_rotate = [grow_then_rotate(1.0, 0.0, phi=0.3, t=t) for t in ts_compare]\n", "phi_rotate_then_grow = [rotate_then_grow(1.0, 0.0, phi=0.3, t=t) for t in ts_compare]\n", "\n", "plt.plot(ts_compare, phi_grow_then_rotate, label=\"grow → rotate\")\n", "plt.plot(ts_compare, phi_rotate_then_grow, \"--\", label=\"rotate → grow\")\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi(R=1, z=0, \\phi=0.3)$\")\n", "plt.title(\"Wrapper order example\")\n", "plt.legend();" ] } ], "metadata": { "kernelspec": { "display_name": "py312", "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": "3.13.14" }, "papermill": { "default_parameters": {}, "duration": 5.555529, "end_time": "2026-06-30T01:24:24.034198+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/potentials/wrappers.ipynb", "output_path": "doc/source/tutorials/potentials/wrappers.ipynb", "parameters": {}, "start_time": "2026-06-30T01:24:18.478669+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }