{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "source": [ "# Multilayer Tidal Calculations\n", "In this cookbook we will explore how we can use TidalPy's multilayer tidal functions to calculate tidal heating as a function of radius.\n", "\n", "**References**:\n", "- SVC16 : Sabadini, Vermeerson, & Cambiotti (2016), DOI: [10.1007/978-94-017-7552-6](https://doi.org/10.1007/978-94-017-7552-6).\n", "- HH14 : Henning & Hurford (2014), DOI: [10.1088/0004-637X/789/1/30](https://doi.org/10.1088/0004-637X/789/1/30).\n", "- TB05 : Tobie et al. (2005), DOI: [10.1016/j.icarus.2005.04.006](https://doi.org/10.1016/j.icarus.2005.04.006).\n", "- S74 : Saito (1974), DOI: [10.4294/jpe1952.22.123](https://doi.org/10.4294/jpe1952.22.123).\n", "- TS72 : Takeuchi & Saito (1972), DOI: [10.1016/B978-0-12-460811-5.50010-6](http://dx.doi.org/10.1016/B978-0-12-460811-5.50010-6).\n", "- M16 : Martens (2016, [PhD Thesis](https://resolver.caltech.edu/CaltechTHESIS:04102016-211741759)), DOI: [10.7907/Z9N29TX7](http://dx.doi.org/10.7907/Z9N29TX7).\n", "- ID : [IcyDwarf Code](https://github.com/MarcNeveu/IcyDwarf/blob/master/IcyDwarf/Thermal.h) written by Marc Neveu." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Build a Planet\n", "For this example we will use the Io-Jupiter system." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from ipywidgets import interact, widgets\n", "# %matplotlib ipympl\n", "np.seterr(divide='ignore')\n", "from TidalPy.structures import build_world\n", "from TidalPy.utilities.conversions import orbital_motion2semi_a\n", "from TidalPy.utilities.numpy_helper import find_nearest\n", "from TidalPy.rheology import Elastic, Maxwell\n", "from TidalPy.tides.potential import tidal_potential_simple, tidal_potential_nsr\n", "from TidalPy.RadialSolver import build_rs_input_from_data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: No module named 'autograd'. For full functionality of BurnMan, please install autograd.\n", "Warning: No module named 'autograd'. For full functionality of BurnMan, please install autograd.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Warning from file 'C:\\Users\\joepr\\miniforge3\\envs\\tpy312\\Lib\\site-packages\\burnman\\classes\\mineral.py', line 242:\n", "You are trying to calculate shear modulus for Fe_Dewaele when it is exactly zero. \n", "If Fe_Dewaele is a liquid, then you can safely ignore this warning, but consider \n", "calculating bulk modulus or bulk sound rather than Vp or Vs. \n", "If Fe_Dewaele is not a liquid, then shear modulus calculations for the \n", "underlying equation of state (Vinet) have not been implemented, \n", "and Vp and Vs estimates will be incorrect.\n", "\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Radius array must start at zero, inserting r=0.0 at slice 0; other parameters will be set to their values at previous slice 0.\n", "Layer 1 starts at a different radius value than the previous layer's upper radius. Interface radius values must be provided twice, once for each layer above and below the interface. This radius value will be added; other parameters will be set to their values at the slice just after this upper radius value.\n" ] } ], "source": [ "io = build_world('Io')\n", "io.paint()\n", "jupiter = build_world('Jupiter')\n", "tidal_host_mass = jupiter.mass\n", "eccentricity = 0.0040313019\n", "orbital_freq = 2. * np.pi / (86400. * 1.76914)\n", "orbital_period = 2. * np.pi / orbital_freq\n", "spin_rate = 1.0 * orbital_freq\n", "periapsis = 0.0\n", "obliquity = np.radians(0.0)\n", "semi_major_axis = orbital_motion2semi_a(orbital_freq, tidal_host_mass, io.mass)\n", "\n", "# Other global switches\n", "use_simple_potential = False\n", "\n", "\n", "# We won't be using TidalPy's OOP approach (which currently does not use the multilayer approach,\n", "# instead relying on a homogeneous model broken up by layers), instead we will pull out a few parameters needed\n", "# for the multilayer calculations.\n", "core_radius = io.core.radius\n", "core_index = io.radii <= core_radius\n", "mantle_index = io.radii > core_radius\n", "mantle_N = len(io.radii[mantle_index])\n", "core_N = len(io.radii[core_index])\n", "total_N = len(io.radii)\n", "\n", "bulk_modulus_array = 100.0e9 * np.ones(io.radii.shape, dtype=np.float64)\n", "bulk_modulus_array[core_index] = 200.0e9\n", "\n", "shear_modulus_array = np.zeros(io.radii.shape, dtype=np.float64)\n", "shear_modulus_array[mantle_index] = 50.0e9\n", "\n", "bulk_viscosity_array = 1.0e28 * np.ones_like(io.radii)\n", "\n", "viscosity_array = 1.e1 * np.ones_like(io.radii)\n", "viscosity_array[mantle_index] = np.logspace(23, 15, mantle_N)\n", "\n", "rs_inputs = build_rs_input_from_data(\n", " orbital_freq,\n", " io.radii,\n", " io.densities,\n", " bulk_modulus_array,\n", " shear_modulus_array,\n", " bulk_viscosity_array,\n", " viscosity_array,\n", " (core_radius, io.radius), # Layer upper radius\n", " ('liquid', 'solid'), # Layer type\n", " (True, False), # Layer is static\n", " (False, False), # Layer is incompressible\n", " (Elastic(), Maxwell()), # Shear rheology\n", " (Elastic(), Elastic()), # Bulk rheology\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate the multilayer tidal response using a propagation matrix technique\n", "TidalPy offers both a propagation matrix (HH14, SVC16, ID) and a shooting method technique (TS72, S74, TB05, M16) to calculate dissipation vs. radius.\n", "The propagation matrix assumes incompressibility and does not allow for dynamic tides. Nor can it fully capture the propagation across liquid layers without some hacks (e.g., assume shear modulus is very small rather than zero).\n", "The shooting method allows us the model all of the above with the addition of (since compressibility is allowed) including bulk dissipation (`Im[bulk_modulus] != 0`).\n", "There are a few drawbacks with the current TidalPy implementation:\n", "- Numerical stability when allowing for dynamic tides in liquid layers. Certain choices of forcing frequency can lead to numerical problems within liquid layers that can then affect other layers. If you are using liquid layers it is reccomended to turn dynamic tides off (you can leave them on in the solid layers), or if you must use dynamic tides then perform extensive testing to ensure the problem has correctly converged.\n", "- Slow performance. Even though TidalPy utilizes JIT compiled functions, there are some aspects of the numerical shooting method that still (as of this version) utilize non-compiled python leading to slower performance. Even without these issues, the shooting method is still performing 1--3 numerical integrations per layer. If you are using this during a time integration, *especially* if considering multiple tidal modes, then calculations can slow down pretty dramatically.\n", " - A future version of TidalPy will offer pre-calculated lookup tables to try and mitigate this problem at the cost of a slight loss in accuracy (TODO)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Load TidalPy's multilayer functions\n", "from TidalPy.RadialSolver import radial_solver\n", "from TidalPy.tides.multilayer.stress_strain import calculate_strain_stress" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculate Radial Functions" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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nJzoMKyHJtFA5YSPH0RK0y2PyO6WAngTkMugkA3HSPklblxMeUmhPBqpkGqcMuMlAkrRPMmpl6uiLUvTl9cmxe/xVmFJKBpxkRQFZ2Uk+MzLAlz17doSFhalpsBL4S6ZGSuICef8lk1aO0w39I1m3MrBo6sLc5sI5+GRWsjOWHab8scmlBPUS3Caex2MoApNUWpQh7edFZxnljK7sjOTMmqzRKTssKQbyopSgV5HfL6ntksIuOyeZ4y8j1LLTMkWRPjlTLWe4E59pNMxPi19UxiCp+14m8fw6+RJ90Vy81My5IyIiIkoJCcBldF2CQikAJ8dBkg4tgVn8ARQp3Cxp6BJoyfGdZCVKEJy40K+QDE/ZZBBEBkNkeTY5ZktOICYBu2Rmyii8BIZSYE2mgRqCbwMpIC0B9oABA9QJCgmoJWiWwQ7DsmopJXWj5PdKsJ0USYmXY1qZKy41leT1SQaEVN+XqvnxSRtklFxOiEj7ZZBHMkHlZIUcc8cnQaocD8rgmZyckABcyGuWn/3777/VvymPGZZNlPulPTIdQd4PGdX/+OOP1QBR/IKKkpkqx+JykkUyQ+XEgCzJKO1KTI535X1PXJQvpeTEi0xvlf6RGEIGyerUqaM+T3IcL1NWJfM3OSd84pOflRNR8jrltcgAnEx5Tenv0YyO6DXMmTNHhud1Bw4cSPLxJUuWqMfHjh2rCw0N1bm4uOg6d+6snp/U9uDBA+PPjh49Wv3s/fv3k/w3L1++/Ny/d/XqVd3UqVN1Pj4+uoYNG77wZ7755psX/g5x69YtnZubm27ixIm6L774QrVbfverdOrUSRcYGJjkY4bXc/DgQV2+fPnUduXKFePjT58+1Tk5Oen69euX5O9Nzp/ri/pMfl76JLGaNWvqihUrptPq80FERETWx3A8ER0drYuJidG6OTZB+mrjxo2q3/74449XPv/PP/9Ux5c3btzQORrpJ2dnZ92ZM2ds/rMYncL33RKYok9mc+3aNZWCJWe7ZERczhjK2bAjR46oM7Hx09BNRebWy9k7mQogc/Nf5GXzkISkYMkZU0lvknlWclbYMG//dUl6lJz1lekEcvZW2irz2OWMthT8kDQ3mZ9m6B+ZR/aiIiFERERE5iJZlnJ8kpw57Y5M6jbFX3owOWRkWEbKJd1fphU4EsmWkPnzhloEtvpZPJqK990SGOCTSUjqkmFtTJkbLwHsnDlzVAX95cuXG1OYZG6PpP5IYCvzgmRei8wtkvQZSQtK6VqdktolJw0kxUd2EjK/SIrhGarRv8iL5hrJzxtIKpakQwl5LaYkJxBkPo+kOUl6k6T9SEqapDPJHCq5X/59KeYhc4BkHr6tVO4kIiIi2yZp8YZ6PqlZys3RGJZmM5Aq968iqelS60lS1aXYoKHgsr2TKakyXUNWdbL1z2KhVLzvlsAAn0xCqs4LGXWWeU9S1E0K1cm89fjzk6RSplT5lEIcUkRFTgbI82UE2zAPPyVkTrkE4bL2qqxxL0vByUi7/Nsyb+ZFDHONZO6V7FxlxypLvcWfdyXF++QEhMzvkWIkpiaFO+SEhgT0sqOT+VJSvETmj0mxGJk/JIVJZAcoqxDIayQiIiIyN6mdlFTlc0pa/KXZUkIGd2RzJFKkzzD339Y/i16pfN/NzUny9LVuBJE1kmVXZOk3qdya3LOMUjRm69atKiNBzsya4kyjnLSQ5fqkMJ8sd2cLZLci2QdS1VWKrsjZTWvcARIRERER2ROO4BMlImt9SmVQqfwpqfQStKeE/Kyk/BcrVkxNXUgpCYilSqthKZaZM2fizJkzajqBrZCqsLJMChERERERWQ5H8IkSkYBe0uFlmoGsjyrLqCSXTBMwLPUnaTsS5KeULOkhy53I8nxyoqBs2bLqZIOk79sKWV5QshjiT82QIotERERERGQ+DPCJiIiIiMgsXF1djfPMZbqerJXuSKSYtKzNLlMuZfpi//790aNHDzgiye6UqaxS2+rPP/+EI2ilwWtmgE9ERERERGYhRYUN2Y2OSIL6yMhIlckYFhamTnZIbaIMGTLA0UhBa1nmTopcO0qAv0WD1+wY6zEQERERERFZmBRcNkxTjIiIUAG/o9Y4l6Wt4y9J7Qhqa/CaGeATERERETmg7du3o3nz5moZMln9Z8WKFc89Z/r06ciTJ49amrhcuXLYsWNHiv6N4OBg9XPVqlXDtm3b4Ih9ILWJZGWmnDlzqmWcJavBEfvB1my30T5hgE8WM378ePXHMXDgQPa6CclaotKv8besWbOyj83g5s2b6NChg0qrk7PxsnzhoUOH2NdERGSTQkNDVeA5bdq0JB9fsmSJOm4bOXIkjhw5gurVq6Nx48a4du2a8TkS1BjWc4+/3bp1y1iAWL4rZVWg999/XwX8jtYH/v7+OHbsGC5fvoxFixbh7t27sDaW6AdbE2qCPtGEjsgC9u/fr8udO7euZMmSugEDBrDPTWj06NG6YsWK6W7fvm3c7t27xz42sUePHukCAwN1nTt31u3bt093+fJl3caNG3UXL15kXxMRkc2TsGD58uUJ7qtQoYKud+/eCe4rXLiwbtiwYan6Nxo1aqQ7cOCAzpH7QH7X77//rrNm5uyHLVu26Nq0aaOzNXiNPrH0a+YIPpmdFJZ47733MGvWLKRLl449bqYKtTJqb9gyZcrEfjaxCRMmICAgAHPmzEGFChWQO3duVRE1X7587GsiIrI7UVFRauS9QYMGCe6X27Kcb3I8fvxYFZgTN27cwOnTp5E3b144Uh/IaL0ha0EuJe27UKFCsCWm6Ad7E2XFfcIAn8zuww8/RNOmTVGvXj32tplcuHBBzQ+SOUDvvPMOLl26xL42sZUrV6rlfd5++21kzpwZZcqUUSetiIiI7JFUvpeCcFmyZElwv9y+c+dOsn7HmTNn1HenpDk3a9YM33//PdKnTw9H6gM5sVGjRg3VB1KHoG/fvihZsiRsiSn6QTRs2FAdR61Zs0bVI5DVBGzVg2T2iRav2dXs/wI5tMWLF+Pw4cM2/Qds7SpWrIj58+ejYMGC6izxuHHjUKVKFZw6dcohl2AxFzlpMmPGDAwePBgjRozA/v371Vq2Hh4eak4hERGRPZLaPvFJtnLi+15EjkdOnDgBR+4DmZd+9OhR2IPX6Qexfv162BunV/SJFq+ZAT6ZzfXr1zFgwAD8888/qrIkmYcU8zAoUaIEKleurNLGZb1NCUbJNOLi4tQoxJdffqluywi+nESRoJ8BPhER2Rup9C5LvCUeob13795zo5b2in3AfrDFzwZT9MlsZF6KfMjlzKXMEZdNlkeZMmWKui5pLWR6Pj4+KtCXtH0ynWzZsqFo0aIJ7itSpIj2lVKJiIjMwN3dXR3DbdiwIcH9cltG5h0B+4D9YIufDY7gk9lIAbLEaVldunRB4cKFMXToUHXWi0xPitnInDdZqoNMp2rVqjh37lyC+86fP4/AwEB2MxER2Wwh5IsXLxpvyzJukk4u8+Rz5cqlMgE7duyoMtgkQ/Cnn35SJ7Z79+4Ne8E+YD/Y3WfDYvX6iXQ6Xc2aNblMnol99NFHuq1bt+ouXbqk27t3r65Zs2Y6X19f3ZUrV/iZM/FSj66urrovvvhCd+HCBd3ChQt13t7eugULFrCfiYjIJsnyXRIOJN46depkfM4PP/yglol1d3fXlS1bVrdt2zadPWEfsB/s7bPhJP/T9hQDOZJatWqhdOnS+O6777Ruit2Qqvmy5IpU85Tl8SpVqoSxY8c+l05Or2/VqlUYPny4mv4gKxbImdsePXqwa4mIiIjIKjDAJyIiIiIiIrIDLLJHREREREREZAcY4BMRERERERHZAQb4RERERERERHaAAT4RERERERGRHWCAT0RERERERGQHGOATERERERER2QEG+GQRkZGRGDNmjLok9rOt4+eZiIgcFb8D2Q/8LFj334STTqfTad0Isn/BwcHw8/NDUFAQ0qZNq3Vz7Bb7mf1MRETEYw0ec/G403GPvzmCT0RERERERGQHGOATERERERER2QFXrRtgS2JiYnDkyBFkyZIFzs48N5ISISEh6vLmzZsqjYXMg/1s3f0cFxeHu3fvokyZMnB1ta/dr7y2W7duwdfXF05OTlo3h4hskMwalf1r9uzZ7eo4y96OH3mswX7gZ8HyfxMpOYbkHPwUOHDgACpUqPC67w8RObj9+/fjjTfe0LoZJnXjxg0EBARo3QwisgPXr19Hzpw5YS94/EhEljyGtK8hJDOTM6+Gjs2WLZvWzSEiG3P79m11ktCwL7EnMnJvODC3hgIzRGR7ZORLThQa9if2gsePRGTJY0gG+ClgSKuS4N6eziwTkWXZQ4pmYoa0fAnuGeATkSn2J/aCx49EZMljSPs7yiQiIiIiIiJyQAzwiYiIiIiIiOwAA3wiIiIiIiIiO8A5+ERERERERPRSsbGxiI6OZi+ZgZubG1xcXEzyuxjgExERERERUZJ0Oh3u3LmDJ0+esIfMyN/fH1mzZn3tQqMM8ImIiIiIiChJhuA+c+bM8Pb2truVLqzhBEpYWBju3bunbr/ucuwM8ImIiIiIiCjJtHxDcJ8hQwb2kJl4eXmpSwnypa9fJ12fRfaIiIiIiIjoOYY59zJyT+Zl6OPXrXPAAJ+IiIiIiIheiGn5ttPHDPDN6Ny5c9iyZQtCQkLM+c8QkUZ+P/U77jy9w/5PhYgIYNYsmXfG7iMisrS4qDjcX3of0Y9YEV1z8kUYGqrf+KVIJsAA34waNWqEOnXq4MSJE+b8Z4hIA0duH8F7y95D8enFcT3oOt+DFJDjly5dgJ49gfffB6Ki2H1ERJYUvDcYp946hV0Zd+FQhUO4NPISHm99jLjIOL4RlhYWBqRJo9/kOll81HzFihV21esM8M3IUAFRKk8Skf2Iio1C5786IyYuBrVy10LOtDm1bpJNkQy0+vUBV1dgwQI5GQpw5R0iIsuJfRoL7yLegA4IORCCa19ew7Hax7Az/U4cb3Ic1ydfx9MTT1V1byJbdu/ePfTq1Qu5cuWCh4eHWoauYcOG2LNnD+wVq+hbIMC/ffu2Of8ZIrKwcdvH4fjd48jonRHTm07nvLRU6NoVyJkTaNMG2LIFqFYNWLsWCAgw/ftFREQJZWiSQW0RNyLweONj4xZ9NxqP1j5Sm3DP6o509dIhXX395pHNg11JNqVNmzaqaN28efOQN29e3L17F5s2bcKjR/rPuFakTW5ubmb53RzBNyM5QyQY4BPZj0O3DuHLHV+q69ObTEdmn8xaN8lmNWgA7NgBZM8OnDoFVKwIHD2qdauIiByHZ05PZOucDUUXFEWV21VQ/lh55Ps2H9I1TAdnL2dE3YnC3QV3cbbTWezJvgeH3jiEK2Ov4Okxju47MsnsiA2N1WRLSVbJkydPsHPnTkyYMAG1a9dGYGAgKlSogOHDh6Np06bG5z148ACtWrVSVewLFCiAlStXJvg9p0+fRpMmTZAmTRpkyZIFHTt2VD9jsG7dOlSrVg3+/v5qKcFmzZrh33//NT5+5coVNRj0+++/o1atWujp2hPrq63H4y2PYQ4cwTcjpugT2ZfImEiVmh+ri0XbYm3xdrG3tW6SzStdGti7F2jSBDh5EqhRA1i6VJ/CT0REliMBSJqSadQW8FEAYiNiEbw7GI83PMajDY/w9PBThBwMUduVUVfgEeiBjC0yIkOLDPCv6Q9nN44bOoq4sDjsSLNDk3+7+tPqcPFJ3hrxadKkUZvMsa9UqZJK0U/KZ599hq+//hrffPMNpk6divfeew9Xr15F+vTp1UBtzZo10aNHD0yaNAnh4eEYOnQo2rZti82bN6ufDw0NxeDBg1GiRAl1fdSoUeqEwdGjR+Hs/OzvQn5u8rDJ8N/pD+wHXNOZJxTnX6IFRvA5B5/IPny+7XOcvHcSmbwzYVrjaVo3x25IWr6M5NeqBciiIxLsz5undauIiBybi6cL0tVJh7zj86L8wfKofKsyCv1cSAX0MrofeTUSN6fexPH6x7Er0y6cfvc07v52F9FPWJmfrIOrqyvmzp2r0vNldL1q1aoYMWIEjh8/nuB5nTt3xrvvvov8+fPjyy+/VEH6/v371WMzZsxA2bJl1f2FCxdGmTJl8Msvv6iV0s6fP2+cBtC6dWs1+l+6dGnMnj1bFVmXkf/4Bg4ciDd7vYlyB8sh79d54Vva1zyv2yy/lRSm6BPZj4O3DmLCrgnq+oymM5DJJ5PWTbIr/v6S4qavrv/bb/JlC1y/DowcqS/KR0RE2vLI6oFs3bKpLTYsVs3Zf7DyAR7+/RDR96Jxb/E9tTm5OSHT25mQc1BOpC2flm+bHXL2dlYj6Vr92ynRpk0blY6/Y8cOVVhP0ulltP7nn39Wgb0oWbKk8fk+Pj7w9fVVxfnEoUOHVDAvmQCJSRp+wYIF1eWnn36KvXv3qtT9uDj9ahTXrl1D8eLFjc8vX768upTA3lzBvWCAb4EAX4o5EJGNp+av0KfmtyvWDm2KttG6SXZJMuekqr6M6H/9NfDpp8DNm8C0aYBL8rLxiIjIAly8XVR6vmy6OB2C9wXj4cqHKuAPOx2Ge4vuqc2vmp8K9DO2zAgnF56ttafpHMlNk7cGnp6eqF+/vtokfb579+4YPXq0McBPXOxOXp8hSJfL5s2bq3n8L5qOLY8HBARg1qxZyJ49u/oZCeyj/lsHWOoGdEEXeN7wtMCrtYIU/e3bt6tOkc5Iah1CuS+pTeZIGEixgsSPv/POOwl+z+PHj1VBBD8/P7XJdSm8YKkA3/AhISLbM3b7WJy6f0qfmt+EqfnmJFPV5Dt0yhT9yP3MmfpK+1wamIjIOjk5O8Gvsp9K5a9wqgLKHSqHLB2ywMnVCUE7g3CqzSnsK7APN76/gZiQGK2bS4SiRYuqNPzkkPT8U6dOIXfu3CqFP/4mo/0PHz7EmTNn8Mknn6Bu3booUqSIijvjC54VjPfxPp72fYqY4Bj7D/Clc0uVKoVpMkSTBClsEH+TOQ8SwEu6RXxS+CD+83788ccEj7dv314VOpC0DNnkugT55pQ5s766dkxMzHNvNBHZTtX8r3Z+ZUzNl6XxyPz69QP++EM/qv/XX0C9esDDh+x5IiJr51vWF0V+LYJKVysh14hccE3viojLEbg48CL25NyDmzNvpqgSOlFqPXz4EHXq1MGCBQvUvPvLly/jjz/+UCn6LVu2TNbv+PDDD9WSejJHX+blX7p0Cf/88w+6du2K2NhYpEuXTlXO/+mnn3Dx4kVVeE8K7sWX5p00OIdz8PzQE65pXe0/wG/cuDHGjRunChO8aBQ8/vbXX3+pZQ5kHcP4ZFmD+M+TUXoDOasiQb3MtahcubLaJIVi1apVOHfunNlem7u7u3rDHWWpPCk+YahWKZvcJrJlUbFRxqr5TM23PDmPu3EjkC4dsGcPULWqLDWjQUOIiCjFPLJ7IO8XeVH5emUUnFkQ3oW9ERsciwsfXMCZ985wNJ/MLk2aNKhYsSImT56MGjVqqLR5mSsvA8MvGlxOTLLMd+3apYL5hg0bqt8xYMAAFWtKhXzZFi9erObqy2ODBg1SmeY5kMP4O1zSuqAP+sDjzaSr+NtdgJ8Skuq+evVqdOvW7bnHFi5ciIwZM6JYsWIYMmQIQqQU83+koIK8CfIGG8hSCXLf7t27X/jvRUZGIjg42LjF/53JJWslGtpu73r37q0yIwyb3DYnqWopRTHSpk2rNjlxs3bt2pf+zJgxY56bzmGYSpGU8ePHq+dI1UtyPOO2j3tWNZ+p+S/dP8pmDtWqATt36ufly/nYKlWAY8fM8k8REZmEKY4f7W2+fvZe2fHGqTeQ95u8gAtw77d7OPTGITw98VTr5pEd8/DwUMfyEnzL1GzJHD979izGjh0LLy8v9RzJJnnzzTcT/Jw81zA/X0h1/GXLlqmM7LCwMDV4LCcNJEYQ9erVUxXzIyIicOzYMeTanAsLnBegalxV9bik98tgkVTYtwSbCvBliQOpaph4tF/WKvztt9+wdetWdVZm6dKlCZ4jy9QZ0uXjk/tetoSdfCAMc/Zlk/kaKeVIS+XJWpHx56XIbXPKmTMnvvrqKxw8eFBtkoIj6TYyT+Zl5CRQ/OkcsoxFUg4cOKDSbeJX1iTHceT2EXy5Q5+F8kOTH5ia/4r9oxSXMRfZ9cq5WClEK8lQ1asD/y09S0RkdUxx/Givc/VzDcmFMtvKwD2HO8LPheNwxcOqMB+RPYmLiAPioGpQaMGmAnyZfy/BvFRCjE/SLOTMiaRFSHG9P//8Exs3bsThw4eNzzGcYYlPztgkdb/B8OHDERQUZNwSr2WYHI4U4IudO3eiQoUK6j2SjAo5u2UuUpyxSZMmankK2b744guViiNLVLxqTcz40zkyZXp+ubOnT5+qz5pM5ZC5NeS4qfltirTB28Xe1rpJVifx/vG6rGlnRjlzAjt2ADVqADIY1rgx8PvvZv0niYhSxRTHj/bMr6ofyh8pj3QN0yEuPA5n3j+DiOsRWjeLKNXiouMQ/TjaeDvP2DwosaoE8k/KDy3YTIAvaxfKfHlZ1iA51Q5luYMLFy6o2xLEJZUif//+fWMK/YvSOgzp37JJ9kBKOVKK/po1a9CqVSv06dNHFbLo1auXKjIha0MmZ85+Upu878kh82Jk/ouk3kiq/svI50Lm0+TJk0edEJJiGUkV1JA1M+XEETkeKap3/O5xZPDKgOlNp2vdHKuUeP8om7n5+wPr1+vn5svKM7JYSjKn0BERWYwpjh/tnXsmdxUA+Vb0RWxQLM52PquW2yOyNU9PPFXTTc51PWcsHuns7owMTfV12LRg/jJ+JjJ79myUK1dOVdx/FUnRjo6ONq5NKAGfnEGVyocyuiz27dun7qsiEzrNyFFG8GXOiQT033//vVqxQHz++eeYOnUqtm3bhnz58j33MzJHv23bti/9vTlyPCtQkRRJr5f3V/59OSGwfPnyl6bCSR2G+fPnqxF/OekiBR7lMyCfGUNBRDlRINkfkqJPjufE3RNq7r2Y2ngqMvs8P72HtCMJXEuW6Kvsz5ihv5S0/XHj9MvqERGRbXB2dVbV9g+WPognm5/gxpQbCBhovuleROYSdioMkdcjEXkzEp45LbPWvVUH+JIKLUsKGMjyBVKgTeZv58qVS90nBUpkSYOJEyc+9/MyOiwF9iRVW1LCJQ3qo48+QpkyZVBVSi4Daj3CRo0aqVR+w/J5PXv2RLNmzVCoUCGzvj5HGcGXJSHCw8PRrl07430uLi4qHV7OZCdF3uPXnacv7598XqQYhtRe6NSpkzqh8KIgX1ZtMChRooQ6OSAnH6S+g2QbSJqxVMaU5S8STwUh+xcTF4Muf3VBdFw0WhZqiXeKv6N1kygJLi7ADz8Acg531CjJBgLu3dMH/K6af6sREVFyeRfwVmnM53ufx7UvryFH3xwq8CeyVjqdDhFXIuCVR1+kL02JNCi6uCj8qvvBPbM7rIHmf0FSHE2CcdmEBFlyfZQctf1HRlSlM2X9waSWotu0aZNatkCCvf79+6NBgwZqDr4EmAZyEkACOnlMNimc9uuvv5r99TlKgL9lyxaVXRG/z+VkjVSblCkT5krRl/dfCvqVL19eFbWRNkgWQXL5+Pioz4VhOodU2bx3757KFpGTE7LJCYMpU6ao6zIVgOzXxN0Tcej2Ifh7+qs1719Wo4O0JW/Np58Ccs7W2Rn4+Wfg7beB8HC+M0REtiRr16xwy+iG6PvReLLlidbNIXqhmKAYnGh+AgdLHlSj9QaZ2mSymuBeaD7WUatWLeN8hReR0XbZkiKVmyUAexUZKV6wYAEszRDg23uK/pEjRxAlk2LjkfR8Ce4lgyIppkjRT0w+S7I8TXLJc2Wpi+pSlhtA3bp1n6uq36VLFxQuXBhDhw5NcAKD7MvZB2cxeutodf27ht8hm69+ig9ZN/lqyJgRkJlBK1YADRsCK1fq5+sTEZH1c3ZzRqa3MuHWzFtq+bz09c27ChNRarn4uiDmUQziIuNUhfzM7axzGqfmAb69MwT4UtBPRn/tNUCUNPm4uDiV6i5p77///rtap37Xrl0v/JnXTdEfMWKESrmXkzyyxqxkeshSievWrTM+Z9q0aWpevmR5iCFDhqjq+zL9Q0bqZQ6+TAGR1H4hhXBkNYbEo/wyPz/x/WQ/YuNi0W1lN0TGRqJR/kZ4v9T7WjeJUkBWRZXiey1a6Cvt16oFyG7gvxIoRERk5TK10wf4D1c/1LopRAk83vIY/jX84eTipJZ6LDS7EOAE+BT2gbVigG9mhiXYJPh9+PAhMme2zjM9r+PatWvqta1evVqNcp8/f15NgZBA+0Xp+aYg0x46duyo1rKXdWYN/2b9+vWNz3nw4EGCKv43btxQUz3kfnlvKlWqpJbVCwwMNFs7yfr9cOAH7L6+G2nc0+DHZj8yNd8G1awJbN+uH8E/dgyQEiz//AMkUd+TiIisTNo39CuxRN+LRtT9KFVln0hrZzqfwd15d1FgegHk+ECfVexTxHoDewMG+GYmy/XJ6K8EwDJibI8BvqEoohQ6lM2SKyu8ypgxY9RmIKP8KSVZAWS/Lj++jOGbhqvr39T/Brn89MU9yfbIIiuSNNSgASCrX0qQLyP5pUtr3TIiInoZFx8XeObxRMTlCISeCoV7LQb4ZB0nnu4suIPPBn2Gnz74Sd0nccWKFStU/GOtNC+y5wjsvdCezL+XQnVEtkZqNvRc1RNh0WGoGVgTPcslXeuDbIeM2O/cCZQsKftcfbr+K2p1EhGRFfAu6q0uw86Gad0UshOdO3dWWZmGTQZdZWW148ePJ3lMeH/ZfYQcDTHel61XNtwcdxO/e/4OW8IA3wIcIcCX9HgiWzPn6BxsvLQRnq6e+LnFz3B24i7RHsjyeVJ7VWpnBgXpR/RXrdK6VURE9DIe2T2MafpEptKoUSM1nVc2qcklq2LJUumJXZtwDafanMKFDy8YC8DLko0xWWNs7s3g0awF2HuAL2kqsowckS25FXILg9cPVtfH1h6L/Onza90kMiGpoi/p+fIdHhEBvPkmYIGVUYmIKJXcMrmpS1kuj6ycBMChodpsr1h9LTEPDw9kzZpVbaVLl1b1wq5fv64KoMs0XBnZf/LkCbJ2zArXDK6ILBoJd2d3XLlyBckhy4LLkt0ffPCBqrlmDTgH3wLsPcAnskV91/RFUGQQymcvj4GVBmrdHDIDb29g2TKga1dAVkl9/33gyROgXz92NxGRtXHL+F+A/4ABvtULCwPSpNHm3376VJa4SuWPPsXChQtRIF8BRK+MBvY+e8wjhwcqX62MExdOIObn5I3anzx5Eg0aNFCrcY0fPx7WggG+BRgK60mRPSLS3tLTS7H87HK4OrtidovZ6pLsk5sbMG8ekCED8P33QP/+wOPHwKefAk5OWreOiIjirzEuYkNj2SlkMqtWrUKa/05GhIaGIlu2bFjx2Qqc734ecAECEPDsM+iT/OXM9+zZo1L9hw8frpbhtiY8qrUAjuATWY/H4Y/Rd21fdX1Y1WEomYX1I+ydszMweTKQPj0werR+kyB/4kT9Y0REpD0Xr/8C/DAG+DaRIicj6Vr92ylQu3ZtzJgxA7o4HR4/eYzp06ej+SfNsarlKoRmD8XtGbdTtUR4vXr1MG7cOAwaNAjWhgG+BUfwmaJPpL3/bfgf7jy9g0IZCmFkjZFaN4csREbrR43Sz80fMAD47jt9uv6sWYArvwmJiDTn7K0/4xoXZh3zmOkVX6qpTJO3NF8vX7gvd8fdBXdRbm85tcy2n58f/ir+l0qvj5kRYyyqJ6KjXz1FJFOmTMiePbtafrtbt25ImzYtrAnHLiwY4EsxByLSzubLmzH7yGx1XarmS/V8ciySoj9/PuDiAsydC7RrB0RGat0qIiJydteHJbrolBVRI3oZ5zhn3JxyE6HHQ3F3/l1VVM/Z2Rnh4eEqUBdSYd8gOevbe3l5qdR/T09PNGzYECEhz5bWswYM8C08Bz/+GSIispzw6HD0/Fu/zn2f8n1QLVc1dr+D6tgR+PNPwN1dX4SveXN9YV4iItKOk5u+MEpcNEfw6fVE3np25j40NhQZx2ZE1u+y4km1J+jXr58qtte8eXNV/T4gIABjxozB+fPnsXr1akyU+XvJ4OPjo54vy+41btxY/U5rwQDfggF+RESE1Z3hIXIUn237DP8+/hc5fHNgfD3rqXRK2pBl89as0WcYbtgANGigT9knIiJtOLnqA3yO4NPruPTJJezNsxePNj5St9etW4eCXQqiyMAiqFS5Eg4cOIA//vgDtWrVgpubG3777TecPXsWpUqVwoQJE9S8+uSS4n1r165VA7hNmjRRRfysAWceWoCc4fH29kZYWJgaxbe2eRpE9u7onaP4dve36vr0ptOR1oN/gwTUrQts3Ag0bgzs3i2FeIB//pG5dewdIiLNAvxYZrtS6sWGxEIXpcPDlQ8xd+5ctb1M1apVcfz48QT3xc+47ty5s9oMZLRftvhB/q5du6zqLeMIvoVwHj6RNmLjYtHj7x6I1cXiraJvoUWhFnwryKhSJWDrVtlHy7w7oEYN4MYNdhARkWZRCTP0KQWC9wUj8s6zlPzcY3KjxKoSKDClgMP2IwN8C2ElfSJtTN0/FQdvHYSfhx+mNJrCt4GeU6oUsH07kDMncPYsUL06cOkSO4qIyJKcnP8bwY/jCD4lz7UJ13C40mFcHn7ZeJ9bOjdkaJrBobuQAb6FcASfyPKuBV3DJ5s/Udcn1JuAbL7Z+DZQkgoVAnbuBPLnB65c0Qf5EuwTEZGF6ON7juBTsvnX8jd+bnhi6BkG+BpU0ici85P5U31W90FodKiqmN+jXA92O71UYKB+JL9YMeDWLX26/rFj7DQiIosG+BzApxd4uPoh7v35LJZKWzEtKl6siMJzChszQIgBvsVwBJ/IspaeWYrVF1bDzdkNPzX7Cc5OPJ9Jr5Ytm35OftmywP37QK1awP797DkiInOT9ckFl5S2Tlq/L/eX38eJZidw4YMLiH4cbbzfK68X7IXORH3MI14LyfRfWWaO4BOZX1BEEPqv7a+uD6s2DEUyFWG3U7JlzAhs3iyVdfVL59WrB+zYwQ4kIjIrjuBbJVlKTshqYFrK0CwD0pROg6xdshpXXLA3Yf/1saHPU4vL5FkIR/CJLGfEphG4/fQ2CqQvgBHVR7DrKcX8/GTtXKBlS32w37Ah8NdfQP367EwiIrOwz5jN5rm4uMDf3984SClLfxuyLcxF5tPfX3AfT9Y/QYEFBYz/XtHtReHs5owY+S8iBvY0ch/233Lq0tfS56+DAb6FcASfyDL23diHGQdnqOszm82Ep6snu55SJU0aYNUqoE0bYO1aoFkz4M8/gebN2aFERCbHAN9qZc2a1aKZyLF3Y/FgwAMgAjj781l41nOMYzl/f39jX78OBvgWwgCfyPxi4mLQa1Uv6KDD+6XeR508ddjt9Fq8vIDly4F339Vftm4NLF6sD/qJiMgMWGTP6sgIerZs2VRGcnT0s/nvphQXHgdnr/9mj+cBfMb4qJH8rJ2ywtnd/meVu7m5vfbIvQEDfAsH+A8ePFBpGOZObSFyRN/v/R7H7h5Deq/0+Lb+t1o3h+yEhwfw++/A++8Dv/0GtGsHzJ8PtG+vdcuIiOwHj42tnwSgpgpCDSSIv/7NdVz75hrK7i0L7/ze6v48Q/OY9N9xJPZ/OsTKAvyYmBg8kapNRGTyNe9Hbx2trn9d72tk8tH/zRGZgqsr8OuvQOfOQGws0KEDMHcu+5aIiOi1OAFPtj5BzMMY3J51m51pAgzwLcTT0xO+vr7q+n1Ze4mITGrAugHGNe+7lOnC3iWTk0GL2bOBXr2kIA7QpQvw00/saCIik2KKvt0LOxeG2IhYY+ZG/u/yo/D8wsg7Pq/WTbMLDPA1GMVngE9kWqvOr8KKsyvg6uyKGU1ncM17MhtnZ2DGDKC/fhVGFexPm8YOJyJ6bZy96hCujr+KA8UP4MbkG8b7vAt5I2vHrHBy5ofALgL87du3o3nz5siePbs6g7NixYoEj3fu3FndH3+rVKlSgudERkaiX79+yJgxI3x8fNCiRQvcuPHsQyMeP36Mjh07ws/PT21y3dKp8tI+wQCfyHTCosPQb20/dX1QpUEonrk4u5fMSkqofPcdMGSI/na/fsCkSex0IiKiV/EI8IAuRofQE6HsLHsN8ENDQ1GqVClMe8kQSKNGjXD79m3jtmbNmgSPDxw4EMuXL8fixYuxc+dOPH36FM2aNUOsTJT8T/v27XH06FGsW7dObXJdgnxL4gg+kel9ueNLXHlyBQFpAzCq5ih2MVksyP/6a2DECP3tjz7S3yYiIqJngnYFIXhfsPF2lveyoPSO0ii6qCi7yUw0r6LfuHFjtb2Mh4fHC9cEDAoKwuzZs/Hrr7+iXr166r4FCxYgICAAGzduRMOGDXHmzBkV1O/duxcVK1ZUz5k1axYqV66Mc+fOoVChQrB0JX0ien3nHpzD17v0UdX3jb5HGvc07FayaJA/bhzg7g6MGQMMHSqFVJ8F/URERI7szrw7ONv5LHxK+KDc4XJwdnVW2dj+1fy1bppd03wEPzm2bt2q1l0sWLAgevTogXv37hkfO3TokFqPsUGDBsb7JN2/ePHi2L17t7q9Z88elZZvCO6FpPnLfYbnJEVS/4ODg41bSEjIa70OjuATmY4sN9l3bV9Ex0WjSYEmeLPwm+xeC0q8f5TNUYP80aP1gb4YORL4/HOtW0VEWjL18SORrcrQLAPcMrrBt4KvWueeLMPqA3wZ3V+4cCE2b96MiRMn4sCBA6hTp47aeYo7d+7A3d0d6dKlS/BzWbJkUY8ZniMnCBKT+wzPScr48eONc/ZlK1r09VJJGOATmc6fp//Exksb4eHigSmNpnD9XAtLvH+UrClHJoH9V1/pr0vAL5tU2icix2Pq40ciWxl4ub/iPi6PuWy8zy2DGyqcr4DCPxeGq6/mieMOw+oD/Hbt2qFp06ZqRF6K8a1duxbnz5/H6tWrX/khkxQQg/jXX/ScxIYPH66mABi206dPv9ZrYYo+kWk8jXqKQesHqevDqg1DvvT52LUWlnj/eP36dYd/DyRF/9tv9d0go/ijRjHIJ3JEpj5+JLIFoSdDcarVKVz9/CpCDj3LWnFL56ZpuxyRzZ1KyZYtGwIDA3HhwgV1W+bmR0VFqSr58UfxJY2/SpUqxufcvXv3ud8l1exlpP9lc/9lM3jdFFRW0ScyjbHbxuJmyE3k8c+DoVWHsls1kHj/SM+K7clSeoMH69P2pdbrF1/oU/mJyDGY+viRyFrFHyxNUyINsnbNCves7vAq5KV10xya1Y/gJ/bw4UM1UiSBvihXrhzc3NywYcMG43Ok0v7JkyeNAb4U05MzqPv37zc+Z9++feo+w3MsgQE+0es7++AsJu+drK5PaTwFXm78EiHrMmiQfhk9MX68vuge0/WJiJIfNJJ108XqcOunWzhY8iBigmKM9xf6uRDyfpEXrmlsbgzZrmje+7Kk3cWLF423L1++rJawS58+vdrGjBmDNm3aqID+ypUrGDFihAqUW7VqpZ4vc5u6deuGjz76CBkyZFA/M2TIEJQoUcJYVb9IkSJqqT0p0Pfjjz+q+3r27KmW0rNUBf34KfpykoKIUvel339tf1VYr2mBpmhWsBm7kazSgAH6kfz+/Z/Nzf/yS47kExGRfQT41yddR/i5cNycfhOBwwPV/S+b+kwOFOAfPHgQtWvXNt4eLHmNADp16oQZM2bgxIkTmD9/Pp48eaKCfHnukiVL4Ovra/yZyZMnw9XVFW3btkV4eDjq1q2LuXPnwsXFxfgcKdTXv39/Y7X9Fi1aYNq0aRZ9rYYR/NDQUNVOLy+OPBKlxIqzK7Dh0ga4u7jju0b/DZESWal+/fQBvVwyyCciIlsWdTcKbpndVBDv7O6MAlMLIOx0GLL3ya5108jaAvxatWq9NBVn/fr1r/wdnp6emDp1qtpeREb2FyxYAC2lTZtWTSeQZf0ePHjg8FWniVIiPDocg//RnwD8X5X/IX/6/OxAsnp9++ovGeQTEZGtuvbtNVwZfQVF5hdBpjb6jOT09dOrjayPzc3Bt2VyxkumEQgJ8Iko+b7d/S2uPLmCnGlzYni14ew6sqkg33D+WUbyP/mEc/KJiMh2xAbHIi4sDveX3de6KWQLI/iORubh37lzhwE+UQpcC7qG8TvHq+vf1P8GPu4+7D+yuSBfktVkTr7MxZf5+bKUHqcrEhGRtXl68qlat94z0FPdzjUsF3xK+hhH78m6cQTfwgzz8DmCT5R8H2/4GOEx4aieqzraFWvHriObJGn6hur6soTemDFat4iIiCihmzNv4mCpg7g46FkRdBdvF2R+KzOL6NkIBvgaBfispE+UPDuu7sCSU0vgBCe1LB4rtJKtV9efNEl/XUbwx47VukVERETP+Ff3B6QYvhMQFxnHrrFBTNG3MM7BJ0q+2LhYDFg3QF3vUbYHSmctze4jmzdoEBAbC/zvf8CoUYCrKzCcZSWIiEgDT7Y9QcT1CGTtkFXd9inmgwpnK8A7vzffDxvFAF+jEfz791mkguhV5h2bhyN3jsDPww/j6oxjh5HdGDIEiInRB/YjRuiDfAn4iYiILOXxlsc4VucYXHxdkK5eOnhk9VD3M7i3bQzwLYwp+kTJExIZghGbRqjrn9b4FJl8WNiF7MuwYfog/9NPgY8/1gf5MrpPRERkCf41/ZG2clqkKZ1GrW1P9oEBvoUxRZ8oeb7a+RXuht5V6933q9iP3UZ2SZbMi47Wz8cfPBhwdwc+/FDrVhERkb3R6XS4/+d93F14F8WXFoeTixOcnJ1QeltpOLsxuLcnfDctjCP4RK929clVTNwz0bgsnruLO7uN7JZU0zfMwZfl9H76SesWERGRvYl5EoPzPc/j4V8PcefXO8b7GdzbH47gWxhH8IlebcTmEYiMjUSt3LXQslBLdhnZNScn4IsvgKgoYOJEoFcvwMMD6NRJ65YREZEtiw2PhYuXi7ruls4NecbnQfTdaGRum1nrppEZcQTfwjiCT/RyB24ewKITi9SyeBMbTOSyeOQwQf433+hH8EXXrsBvv2ndKiIistV0/Js/3MTeXHsRcjTEeH+O3jmQe3Ruta492S8G+BqN4IeHhyMsLMzS/zyR1X8hDdkwRF3vWKojymYrq3WTiCwa5H//PdCjBxAXB3TsCCxbxjeAiIhS+n3ihCc7niD6QTRu/XCL3edgGOBbmK+vL9zc3NT1hw8fWvqfJ7Jqf5//G9uvboenqyfG1eayeOR4nJ2BmTP16fmxscA77wCrV2vdKiIisnbhV8IRExJjvJ3vm3woML0ACswooGm7yPIY4GtwRs0wis8An+iZmLgYDN04VF0fVGkQAvwC2D3ksEH+7NlAu3b6Cvtt2gAbN2rdKiIislaSjr+/8H5c/eKq8T7PAE/k+CAHnF0Z7jkavuMaYKE9ouf9cuQXnH1wFhm8MmBoVX2gT+SoXFyAX38FWrYEIiOBFi2AHTu0bhUREVkjj0AP6CJ1CD0WCl2cTuvmkMYY4GuAI/hECYVFh2HM1jHq+qc1PoWfpx+7iByezOZasgRo1EjqtgBNmwL79zt8txARObyQIyF4sv3Js9iiaQaU3loaJdaUUGvbk2NjgK8BBvhECX2/93vcfnobuf1zo3f53uweov/IcnlSaK9WLSAkRB/sHz/O7iEiclT3V9zHoXKHcLbLWcRGxBqnAPvX9OfKQ6QwwNcAA3yiZx6FP8KEXRPU9bG1x8LD1YPdQxSPlxewciVQqRLw+DFQvz5w9iy7iIjIEaWrlw7u2d2RtmJaxIXFad0cskIM8DXAAJ/omQk7JyAoMggls5RE+xLt2TVESfD1BdauBcqUAe7dA+rVAy5fZlcREdm7Rxsf4d9h/xpvu6ZxxRsn3kDRRUXhll6/MhdRfAzwNQzwHz16pMU/T2Q1bofcxtT9U9X1L+t8CWcn7pKIXsTfH/jnH6BoUeDmTX2Qf4vLGxMR2fXSd8cbHsf1CdfxeMtj4/1u6RjY04vxaFoD6dOnV5dcJo8c3Rc7vkB4TDiqBFRBkwJNtG4OkdXLmBHYsAHImxe4dEkf5N+/r3WriIjIVHS6Z1XwvXJ7IUe/HMgxIAfSlE7DTqZkYYCvAaboEwFXn1zFT4d+Mo7eS4EYInq17NmBTZuAHDmAM2eAhg2BoCD2HBGRLZOw/u6ShzhQ/ACi7kUZ788/OT8KfFeAo/aUbAzwNcAUfSJg7PaxiI6LRr289VAzd012CVEK5M4NbNwIZMoEHDkCNGsGhIWxC4mIbJczrk+9g7DTYbg+8brxXg6AUEoxwNcAU/TJ0V18dBFzj85V1z+v9bnWzSGySYUL6+fk+/kBO3cCrVsDkZFat4qIiJIr6kEUdHH6lHwnxKHAt7mQ54s8yP1ZbnYipRoDfA1H8B8/foy4OC5vQY5n3PZxiNXFonH+xqgcUFnr5hDZrNKlgTVrAG9vYP16oEMHIFa/LDIREVmxWz/ewr78+3BnwQPjfX6VfBE4IhAuni6ato1sGwN8DUfwpYjGkydPtGgCkaaj9wuOL1DXP6v1Gd8JotdUpQrw11+Auzvw559Az57y/cJuJSKyZrGhsYgNisX9Fc+q4xOZAgN8Dbi7uyNNGn0lTC6VR45YOV9G76Vq/hs53tC6OUR2Qarp//Yb4OwM/PIL8NFHDPKJiKxJ2MUwhF14ViwlR98cKLKwCEr8UUDTdpH9YYCvEc7DJ0d06fEl/HrsV3V9dM3RWjeHyK7IHPzZs/XXJ08Gxo3TukVERCTu/nYXB4odwPle543L4Dm7OyNL+yxwcuEqQmRnAf727dvRvHlzZM+eXVWJXLFihfGx6OhoDB06FCVKlICPj496zvvvv49bt24l+B21atVSPxt/e+eddxI8R+a7d+zYEX5+fmqT61qmx7OSPjmiCTsnqNH7hvkaokKOClo3h8judO6sD+7FqFHADz9o3SIiIkpbOS2cnJ3g5O6E2KcslEJ2HuCHhoaiVKlSmDZt2nOPhYWF4fDhw/j000/V5bJly3D+/Hm0aNHiuef26NEDt2/fNm4//vhjgsfbt2+Po0ePYt26dWqT6xLkaz2CzxR9chQ3gm9g7jF95fxPanyidXOI7NbAgfrgXvTtCyxapHWLiIgcS/CBYNyefdt42yu3F8ofL4+Sa0vC1ddV07aR/dP8E9a4cWO1JUVG2jds2JDgvqlTp6JChQq4du0acuXKZbzf29sbWbNmTfL3nDlzRgX1e/fuRcWKFdV9s2bNQuXKlXHu3DkUKlQIlsYUfXI0E3dPRFRsFGoG1kS1XNW0bg6RXRszRk4gA3LuvFMn/VJ6TZtq3SoiIvsXciQEhyschpOHE/xr+8Mrr5e637uAt9ZNIweh+Qh+SgUFBakUfH9//wT3L1y4EBkzZkSxYsUwZMgQhISEGB/bs2ePOllgCO5FpUqV1H27d+9+4b8VGRmJ4OBg4xb/d5pyqTwie/cw7CF+OvyTuj6i+gitm0MmkHj/KBtZDycn4PvvgffeA2JigLfeAnbu1LpVRI7BnMePZP3SlE6DdA3SIXPbzHD2trlQi+yATX3qIiIiMGzYMJVunzZtWuP97733Hn777Tds3bpVpfMvXboUraXa0H/u3LmDzJkzP/f75D557EXGjx9vnLMvW9GiRU32WpiiT45k2v5pCIsOQ5msZVA/b32tm0MmkHj/GBAQwH61MlJRf84c/ch9RATQrBlw7JjWrSKyf+Y8fiTr83DNQxxvdhxxkXHqtgxElvi7BIrMLwKPrB5aN48ckM0E+FJwTwrnxcXFYfr06c/Nv69Xrx6KFy+unvPnn39i48aNat6+gfyxJSZVLJO632D48OEqY8CwnT592mSvhyn65CgksJ+6f6q6PrTq0Jf+zZHtSLx/vH79utZNoiS4uQG//w5UqyYZcEDDhsC//7KriMzJnMePZF1iw2Jxrts5PFr9CDen3zTeLxXyiRx2Dn5yg/u2bdvi8uXL2Lx5c4LR+6SULVsWbm5uuHDhgrouc/Pv3r373PPu37+PLFmyvPD3eHh4qM3AlCmo6dKlU5dM0Sd7N+/oPDwMf4i86fKiTdE2WjeHTCTx/pGsl7c38PffQM2awPHjQIMG+nT9bNm0bhmRfTLn8SNpLzYiFi6eLuq6i7cL8n2bD0+PPkW2btypknVwtpXgXoJ1GZU3zF1/mVOnTqmfy/bf0YsU05MzqPv37zc+Z9++feq+KlWqQAtM0SdHEBsXi0l7J6nrAysOhKuzTZxTJLI7UrZm/Xogb17g0iUpcAtouFIsEZFNujP/Dvbl2YcnO57tQLO8lwX5vskH17Q8xiHroPkn8enTp7h48aLxtozSyxJ2EgDLuvdvvfWWSrVftWoVYmNjjXPm5XF3d3f8+++/qsBekyZNVJE9SYP66KOPUKZMGVStWlU9t0iRImjUqJFK5Tcsn9ezZ080a9ZMkwr6hvYLLpNH9uzv83/j4qOL8Pf0R5cyXbRuDpFDk4Vm/vkHkK9GmYsvK85K0O+lL/BMRESvELQrCFF3onBzyk34V09Y8JvIpgL8V6XEJ0Xm2W7fvl2tcf8yBw8eRO3atY23Bw8erC47deqEMWPGYOXKlep26dKlE/zcli1bUKtWLRXkb9q0Cd9//706WSCFnpo2bYrRo0fDxUWfPiPkJED//v3RQHITIQc2LTBN1g/SCAN8cgTf7/teXfYq1wtp3NNo3Rwih5cvH7BunT5df8cO4N13gT//BFw1P91PRGR9Im9Hqvn0bhnc1O084/LAu5A3cvTNoXXTiF4oWV/pEjjLCHmmTJmS83RVCG/BggVqxP1VJEiXYncv8rLHhAT027ZtS1ZALW2yFoYAX+bgv6rYH5EtOn73OLZe2QoXJxd8+MaHWjeHiP4j58vl3LkU3PvrL6B3b2DWLP3SekREpHdnwR1c+OACMr+XGYVm6jN+3TO5I2AwV40h65bsc/ajRo1ChQoVkvXcmJgY/Prrr6/TLrtnKLInJ0FkfdTUZEkQWbPv9+pH76WwXoAfvwyJrImM4C9eDLRpA8yeDUi92S++0LpVRETWwzPQE7FPYxF6IhRx0XFwdrP60mVESrI+qQMGDDAWrEsOSY2Xn3lZhXpH5+XlBU9PT3X94cOHWjeHyKQehT/CopOL1PV+Ffqxd4ms0JtvAv+VpcGXXwJT9atZEhE5pNCzoXi08ZHxtsyxL7WlFMrsKMPgnuwvwJ88ebJKhU8uSTeXn8mRg/NTkpumT2RP5h6di4iYCJTKUgpVA/TFLonI+nTv/mzkfsAAYMkSrVtERGR5jzc/xsESB3G241nEhMQY709XKx2cnDl/iWwLc02sIE2fAT7ZkzhdHGYenKmu93mjD+tLEFm54cOBvn2l5g3QsSOwaZPWLSIisiy/qn7wzO0J3/K+Ki2fyJalum6urDV/9epVREREPPdY69atX7ddDoGV9MkeSWG9C48uwNfdF+1LtNe6OUT0ClJc77vvgHv3gN9/B1q1AqR2bZky7Doisk9Bu4Nw/4/7yDcpnxqIcPZwRtl9ZeGWXl8tn8ihAnxZd17Wpj9+/HiSVe7ljyQ51fOJI/hkn34+/LO6fK/Ee1waj8hGyKqy8+cD9+/LMrRA48bA7t1A3rxat4yIyLSi7kfhaJ2j0EXq4F/LHxlbZlT3M7gnhw3we/bsiTt37qg59kWKFFHr0FPqMEWf7M3DsIdYemaput69bHetm0NEKeDhASxfrq+wf+yYfhm9XbuAzJnZjURk2+IvSa2WuhsSgKg7UUhbmatYkf1JcYC/f/9+zJo1C++88455WuRAmKJP9ua3k78hKjZKFdcrm62s1s0hohTy8wPWrgUqVwYuXgSaNQM2bwbSpGFXEpFtBvYPVz7E5U8uo8SqEmrpO5FnbB7WCCK7leIie5kyZYKfHAHQa+MIPtmbecfmqcsupbvwi5PIRsmquOvXAxkyAAcOAG+/DURHa90qIqLUufH9DYSeDMXVL64a7zOM5hPZoxQH+B988IEawSfTBfiPHj1bc5PIVp2+fxoHbx2Eq7Mri+sR2bhChYBVqwAvL2DdOpmep6+yT0Rk7aKfRCMuOs4YyOf/Lj9yDc+lCuoROYIUp+j/73//w0cffYRy5cqhcePGxjRzA/lDGjRokCnbaLcMfcdl8sgeLDi+QF02KdAEmXwyad0cInpNlSrpq+q/+SYwdy6QMycwdiy7lYis191Fd3FxwEXkGpELAYMC1H1pSqZRG5GjSHGAv2/fPsybN0+NOh85cuS5xxngJx9T9Mme5rgtPrnYWD2fiOyDzMGfORPo0QMYNw7IkQPo3VvrVhERJS0uPA7RD6LVEng5B+ZkKj45pBQH+H379kXGjBnxyy+/sIr+a2KRPbIX+2/ux+Unl+Hj5oNmBZtp3RwiMqHu3YGbN4ExY4APP9TP0W/Zkl1MRNqLuB6B2OBY+BTzUbezdskKJzcnZH43M4N7clgpDvBPnTqFxYsXo0WLFuZpkQPhCD7ZiyWnlqjLFoVawNvNW+vmEJGJjRqlD/KlBI8soiOV9aXSPhGRVh6seoDT7U7Du4g3yu0vBydnJ7VlfT8r3xRyaCkuspcrVy6VjkumC/CDg4MRGxvLLiWbJPuDZWeWqetti7XVujlEZAZScHr6dH3KfkQE0Lw5cP48u5qItJP2jbRwcnWCs6czoh9yqQ+iVAf4w4YNw7fffosI+Yan1+Lv72+8/uTJE/Ym2aSjd47iatBVeLl6oUG+Blo3h4jMxNUVWLwYqFABePgQaNQIuHOH3U1ElvH05FPcnHHTeNs9izvKHSiHMjvKwD2TO98GotSm6B8+fBg3b95Evnz5ULt27SSr6H///fcp/bUOyc3NDWnSpMHTp09VJf0MsugwkY1Zfna5umxcoDHT84nsnI8P8PffQJUqwL//Ak2bAtu2AWlYoJqIzCj833AcLH0Q0AF+1fyQpoR+p+NdkNMCiV47wJ82bZrx+qJFi557nAF+ytP0DQE+kS1adX6VumxRkHU5iBxB5szAunX6OfiHDwNt2wIrV+pH+ImIzMErnxcyvpkRiANc/bizITJpin5cXNxLN84lTxkW2iNbdjP4Jo7cOQInOKkRfCJyDPnzA6tWAV5ewNq1wAcfSD0OrVtFRPbiybYnON7kOGKexhjvK7qoKIovKw7PXJ6ato3ILgP8l3n06NHrtMdh5+FzBJ9s0dqLa9VlhRwVkNkns9bNISILqlhRPyff2Rn4+Wdg3Dh2PxGZpnjv2a5n8WjtI1z/9rrxfmf3FIctRA4pxX8pvXv3fuFjUg2+YcOGr9smhxzBZ5E9skUbL21Ul43yN9K6KUSkAVkx1zBzT5bSmzePbwMRpVxcZFyC6b75J+VH9t7ZkaNvDnYnkbkD/IULF2L8+PHP3R8WFoYmTZrg1q1bKf2VDs0Q4DPzgWxNnC4Omy5vUtfr5qmrdXOISCOSnj90qP569+7Ahg18K4go+e4vu499BfchaEeQ8b6MLTOi4IyCcM/I6vhEZg/wFyxYgFGjRmGx5OX9JzIyEi1btsS5c+ewcaN+RI+Sh3PwyVadvHcSD8IewMfNBxVzVtS6OUSkoS+/BN59F4iJAdq0AY4d49tBRMkTvDcYkdcicXfhXXYZkRYBfqtWrfD111+jS5cu2Llzpyqq9/bbb+PAgQNYv349ihQpYop2OQym6JOt2nF1h7qsmqsq3F14hp3Ikck8/DlzgFq1gJAQ/fJ5N25o3SoiskbRD6MRdTfKeDvwk0DkGZ8H+Sfn17RdRPYiVdUqBg0ahO7du+PNN99U2+bNm7F69WqULVvW9C20cxzBJ1u16/oudVk1oKrWTSEiK+DhASxbBhQtCty8CTRpAgQ9y7glIsL9Ffexr8A+XBx40dgbrmldETgsEM5eLKJHZAqp/kuaMmUKqlatqlLyV6xYoa5TyjHAJ1u1+/pudVkloIrWTSEiKyFlZdasAbJmBU6cAN56C4iO1rpVRGQtPAM9EfMkBqGnQxEbGqt1c4jskmtynlSyZMkk74+IiIC7uzsGDx6coPLlMU6+Szam6JMtuh96H1eDrhqXyCMiMggMBFavBmrUAKQsT8+ewC+/yPEB+4jI0YRfCUfYmTBkaJxB3fYt44tSm0vBr5ofnF05Yk9kDsn6y0qfPj0yZMjw3JYjRw6Vlh//PnluSmzfvh3NmzdH9uzZ1ckByQZIvBbmmDFj1ONeXl6oVasWTp06leA5UuSvX79+yJgxI3x8fNCiRQvcSDT5T9aZ79ixI/z8/NQm161haTp/f39j+4hsxZE7R9RlgfQFkNYjrdbNISIrIzP2/vgDcHEB5s4Fxo7VukVEZGnBB4NxoMgBnGl/BlH3n825T1crHYN7Iq1H8Ldu3Wq2BoSGhqJUqVKqaF8bKb2biBT0mzRpEubOnYuCBQti3LhxqF+/vqrY7+vrq54zcOBA/P3336qyv5xk+Oijj9CsWTMcOnQILnJ0AaB9+/Yq6F+3bp263bNnTxXky89piSn6ZIuO3NYH+GWyldG6KURkpRo3BqZPB3r1AkaP1o/sd+qkdauIyFJktN67sDdc07ki9mkskIl9T2Q1Ab45NW7cWG1JkdH77777DiNHjkTr1q3VffPmzUOWLFmwaNEi9OrVC0FBQZg9ezZ+/fVX1KtXz7iUX0BAgKoP0LBhQ5w5c0YF9nv37kXFivrlvGbNmoXKlSurEwWFChWCNaTox8XFwVlKERNZuZP3T6rLUllKad0UIrJikp5/5QowfjzQvTuQMydQt67WrSIicwg5GoLbP99GgSkF4OTsBCcXJ5TaWAqu6V1Vli4RWUayoslHjx6p4DMlUvMziV2+fBl37txBgwYNjPd5eHigZs2a2L1bX+BLRumjo6MTPEfS+YsXL258zp49e1RaviG4F5UqVVL3GZ6TFEn9Dw4ONm4hsvaPmVL05WSGOX4/kTmcfXBWXRbOWJgd7KAS7x9lI0rKuHHAu+8CMTGAnKuX4ntE9swSx4/WJuZpDI7WOopbP9zC3V+frWfvlsGNwT2RNQb4mTJlwsGDB5P9S2NjY9XPHD169HXapoJ7ISP28cltw2NyKYX+DCPhL3pO5syZn/v9cp/hOUkZP368cc6+bEVl7R8T8/T0VJuwhpoARK8iJ6POPTinrhfKoF32C2kr8f5RsqaIkiKJaXPm6IvuyXkgWT7v1i32FdkvSxw/WsvxgIFrGlcEjgxE5ncyw7+OfvCKiKw4wJc/YAmEr127lqzt6tWrCf7oX1fitB753a9K9Un8nKSe/6rfM3z4cDUFwLCdPn0a5sBCe2RL7ofdR0iUfjQif/r8WjeHNJJ4/3j9+nW+F/RCHh7A8uVA4cKA1MBt2hRwgEFNclCWOn7U0qONj3Cw9EG13J1BwJAAFP2tKDwD9ANXRGTlc/BbtWqVol9sirk2WWUh3f9G4LNly2a8/969e8ZRfXlOVFSUqkIffxRfnlOlShXjc+7efZYuZHD//v3nsgPik+kAshmYKwVV2i2vkZX0yRZcD9IHclnTZIWH67O/D3IsifePRK8ii+ysWSNT5ABJ8GvbFpA6t66aVwMiMi1LHT9q6ea0mwg9Hooro6+g2B/F1H2cZ09kHZL1tTpHcutSIU+ePKn6ufg/L8H5hg0bUKaMvlq3BPPbtm3DhAkT1O1y5crBzc1NPaetHC0AuH37Nk6ePKkq8AsppidnUPfv348KFfRrdu/bt0/dZzgJoCXDCD5T9MkW3AjWL0EZkJYp2USUMnJYsGoVULMmIIvafPghMHOmBAbsSSJrFhsaq/J+Xbz0q1Pln5Qfnrk9kXt0bq2bRkSpCfA7mXFdm6dPn+LixYsJCuvJ3P306dMjV65cagm8L7/8EgUKFFCbXPf29lbL3gmZ29StWze1NJ4skSc/N2TIEJQoUcJYVb9IkSJo1KgRevTogR9//NG4TJ4spadlBX0DLpVHtuRWiH7ybI60ObRuChHZoDfeAH77TTIDgZ9+AvLmBYYO1bpVRPQiD1Y+wPk+55GtWzbk+Uw/eOeV1wsFvivATiOyQpqvySbF+2R03jBCP3jwYHV91KhR6vbHH3+sgvw+ffqgfPnyuHnzJv755x/4+voaf8fkyZPx5ptvqhH8qlWrqhMAsr69i4v+LKNYuHChCvql2r5sJUuWVEvrWYP4S+URWbtH4Y/UZQavDFo3hYhsVMuWwPff668PGwYsXqx1i4joReKi4hB1Mwr3/7yPuJjXWyGLiMxP85lvtWrVemlBPpnPM2bMGLW9iFShnzp1qtpeREb2FyxYAGvEIntkSx5HPFaX6TwTrlxBRJQS/foBly4B330nmYJAjhxA9ersQyKtRd2LQtTtKKQplUbdztQmEwrPLYxM7TLB2VXzsUEiegX+lVoBBvhkS55E6DNN/D25DA4RvZ5vv9Wn6kdFAW++CZw/zx4l0tKT7U+wr+A+nGp3So3cGwbbsnbKChfPZ5mxRGS9GOBbUYq+FP0jsnZRsVHqkhX0ieh1yUw6Sa6T+rePHgGNG8sKN+xXIq3IqL2zhzNcfFwQdVf/fU9EtoUBvhXgCD7Zkui4aHXp5uymdVOIyA54e+uXy5MK+5Ky36IFEB6udauIHEPYxTDc+F6/Oo5w9XNFmR1lUG5/Oa5nT+TIAX5ERATOnj2L2NhYU/w6h8Mq+mRLYuP0f+cuzkzVIyLTyJwZWLNGvg+BvXuBjh2BONbyIjKryDuROFjiIC4OvIig3c+ySL0LesPJhWtXEjlMgC+F7MaOHWu8fejQIQQEBKBYsWIoWLAgrl+/buo2OswIPqvoky1wd3FPkKpPRGQKhQsDK1YA7u7A0qXA//7HfiUyJ4+sHsjcPjPSNUwHt4zMyiNy2AD/559/NgakYujQoapCvSxVJ9Xwx40bZ+o22j0G+GRLvFy91GV4NHNoici0atQA5szRX580CZg2jT1MZCrBB4JxvOlxRD/ST7UTBacXRMm1JdWoPRE56DJ5165dQ2E5zQ4gJCQE27dvx+LFi9G6dWuVam5Yv56Sjyn6ZEu83PQBflh0mNZNISI71L49cOUKMHIkMGAAkCuXfl4+EaWeDMKd63EOocdCceXzKyjwXQF1vxTUIyL7kuK/6sjISLi56dN49uzZg7i4ONSrV0/dzp07N+7cuWP6VjrICH54eDiiZK0gIiuW0TujunwQ9kDrphCRnRo+HOjeXT8P/913gYMHtW4Rke2RZe4ksDcsdZd/cn5k6ZAFuT7OpXXTiMiaAvxcuXJhx44d6vpff/2F0qVLI23atOr2/fv3jdcp+fz8/NSOV3AePlm7rGmyqss7oTyZR0TmIV+J06cDDRsCYWFA06bA5cvsbaLkerT+EQ6UOIB7i+4Z70tXOx2K/FoEHtk92JFEdizFAX6HDh3w+eefo1y5cvjxxx/VbYODBw+qQnuUwjfB2dl4YuTx48fsPrKJAP9WyC2tm0JEdkySBf/4AyhVCrh3D2jSRL4jtW4VkW0IORSC8PPhuD7punEUn4gcQ4rn4I8cORKurq7YvXs3WrVqhf79+xsfO3nyJNq0aWPqNjrMPPygoCCO4JPVy+OfR11efHRRHTQYsk+IiEzN1xdYvRqoVAk4exZo1QpYvx7w4AAkUQIxwTGIDYmFRw79H0fOwTmhi9MhZ/+c/J4mcjApDvDlYH7YsGFJPrZy5UpTtMmh5+FzBJ+sXYEMBeDs5IwnEU9wN/SucUSfiMgccuQA1qwBqlUDtm0DunYFfv1Vst/Y30Ti8abHOP3eafiW8UWJNSXUsbqLpwtyf5KbHUTkgPj1aCUY4JOt8HT1NI7in75/WuvmEJEDKFECWLoUcHUFFi0CPvlE6xYRWQ+PXB6IeRSD8H/DEf3w2RJ4ROSYUjyCX6dOnZc+LmcNN23a9Dptcuil8iRNn8jalc5aGv8+/hf7b+5HnTwv3ycQEZmCLNgzaxbQpQswfjwQGAj06sW+JccTeTsSIQdCkLGFflUb7wLeKLWhFNJWTgtnd47dETm6FO8FZFk8mXcbf5Pq+Tt37sT58+dZyCOVOIJPtqRKQBV1ufv6bq2bQkQOpHNnYMwY/fU+ffTz84kcSdi5MOwvuB+n3zmNiOsRxvv9a/ozuCei1I3gb926Ncn7Jbhv2bIlRo8endJfSfFG8DkHn2xB1YCqxgA/Then5uQTEVnCqFHAtWvAL78Abdvq5+WXL8++J8fgVdALacqkUWvcxz6N1bo5RGSFTHZULsvj/e9//8PHH39sql/pkCP4T5480bopRK9UJlsZ+Lr74mH4Qxy8dZA9RkQWIwt3zJwJNGwIhIUBTZsCly7xDSD7FHo2FOf7nEdcdJxxKmzx5cVRdndZ+BTx0bp5RGSFTDrsljt3brVUHqUcA3yyJe4u7miUv5G6/tfZv7RuDhE5GDc34I8/gNKlgXv3gMaNgYcPtW4VkWnJKP2xOsdwa8YttRm4ZXCDkzOXqCUiCwT4S5cuRfbs2U35Kx0GU/TJ1rQs1FJd/nWOAT4RWZ6vr375vFy5ZJog0KIFEB7Od4LshxTMyz06NzI0y4D0jdNr3Rwistc5+F1lAdpEIiMjcfz4cZw+fRpff/21qdrmULy9vdVlmOQbEtmAJgWaqJH8U/dP4fDtwyibrazWTSIiB5MtG7B2LVC1KrB7N9C+PfDnn4CLi9YtIzKNbD2zIXsvDp4RkRkD/M2bN6v5P/F5enqq9Pzhw4ejvXy7Uool7lMia5fOKx1aF2mNxScXY9ahWZjRbIbWTSIiB1S0KPDXX0D9+sCKFcCAAcDUqfq5+kS2KOx8GB5vfgyPnB7I2Ey/FB45iNBQrVtAliKDu2b6okpxgH/lyhWzNIT0pIZBPVnsl8gGPAp/BNwGZv06C2cnnYWLs/0Mm5UoUQKTJk3iyTciG1CjBrBgAdCuHfDDD/r0/c8/18/VJ7IWt8bdwoOLDxA4PBDp6qYzLnt3/sPzcM/ijqILi6r7Hm95jAsfXIBreldVMd9RxAZzVQBkyaL120CWIqlnO3aYJchPcYBP5pFN8gwBBAcHY9OmTexmsimxiMXWf5NeQtNWyd9hhw4dUK5cOa2bQkTJ8PbbwK1bwMCBwFdfAevWAbNnA2U5e4isRPipcITtDEO2LvpjPhETHIMnm57AI9DDeJ+Tu/6AP+aR/jFH45HtWV84zEiuBHu7dmndErIkeb9laraPjzYB/rVr11QA6ubmpq6/Si6peEMpUrFiRWzbtg03btxgz5FVk3Xv119cjyWnliA6Nhre7t7oUqoLquSqAnvx1Vdf4cSJEzhz5gwDfCIbIun5GTLoL48eBSpUAIYMAUaPBry8tG4dObosfbMg3QfpkLZKWuN9Xnm9UGRhEbj4PMuAc3bT18D2LuqNwJGBcChOgH8t/dLRDkNGcGUkl3W4HGcaRhbzZmokK8DPkycP9uzZgwoVKqi59q+aLx4byxSblJI+rSE5hkRW7MqTK+jyVxdsxVagGNAwX0PMbjEbOdLmgD3Zvn27McAnItvSoYN+Pn7//sDvvwMTJujn5v/yC1DFfs5Dkg1KUzUNsuRMeGAvS95laZ/0wb7MwX/RY2RnJLYyw0guOaZkBfi//PIL8uXLZ7zOgnBEjkWn0+GXI79g0PpBCIkKgY+bD75t8C16letll/uDwoULq8tz585p3RQiSgUZHFmyRF9V/4MP5G8ZqFYNGDQIGDtWnxFLRETksAF+p06djNc7d+5szvYQkZW5HXIbPVf1xKrzq9TtqgFVMe/NeciXXn/Szx4ZAvyzZ89q3RQieg0tW+oL8ElgP28eMGkS8PffwJw5+imvRERE9kY/yYeIKAlLTi5B8RnFVXAva95/Xe9rbOu8za6De1GoUCF1eeHCBU45IrJx6dIBc+cCq1cDOXLI3zVQvbp+bn54uNatIyIi0mAE/3NZayaZJF33008/hSnJvP+rV68+d3+fPn3www8/qKyCeXJqPlHRur179xpvR0ZGYsiQIfjtt98QHh6OunXrYvr06ciZM6dJ20pkDx6GPcSHaz5UhfREmaxlML/VfBTPXByOQAqFenh4qP2G7Hvy5s2rdZOI6DU1aQKcOqUfzZcR/IkT9UG/BP8VK7J7iYjIgQL8MWPGPBfEy5zcxPcZmDrAP3DgQIJRNFkrvn79+nhb1sT5T6NGjTBHvrH/4+7unuB3DBw4EH///TcWL16MDBky4KOPPkKzZs1w6NAhuLjYz9rdRK9r9fnV6P53d9x5egcuTi4YWX0kRtYYqUbwHYXsEwoUKKD2NTIPnwE+kX3w89MX22vdGujZU6bh6AvvjRghxy5y7KB1C4mIiCyQoh8XF2fc5GBXqup/8cUXuHz5shoNl8uxY8eq+80xZzVTpkzImjWrcVu1apUq+lezZk3jc2S0Lf5z0qdPb3wsKCgIs2fPxsSJE1GvXj2UKVMGCxYsUFWyN27caPL2Etmi4MhgdPurG5r91kwF94UzFsaebnvwWe3PHCq4NyhYsKC6PH/+vNZNISITa9ZMBguA996TYxxg3DigUiX9CD8REZFDzcEfMGAA3n//fQwfPhyBgYEqsJbLESNGoGPHjugv69KYUVRUlArOu3btmiBrYOvWrcicObM6KO/Rowfu3btnfExG6aOjo9GgQQPjfdmzZ0fx4sWxe/fuF/5bkp4bHBxs3EJCQsz4yoi0s+XyFpScURK/HP0FTnDC4EqDcbjnYbyR4w2HfVsY4L9c4v2jbES2RMYBFiwA/vgDyJABOHIEKFdOX4hPgn6i1OLxIxHZVIC/Y8cOVH1B6Vm5f+fOnTCnFStW4MmTJwmq+Tdu3BgLFy7E5s2b1Si9pPTXqVNH7WDFnTt3VMp+Oqm0E0+WLFnUYy8yfvx4+Pn5GbeiRYua8ZURWV5YdBgGrB2AOvPr4GrQVeTxz4OtnbdiYsOJ8HLzcui3hAH+yyXePwYEBFjonSEyrbfeAk6c0M/Rl8OGjz4C6tcHbtxgT1Pq8PiRiGwqwJcR+4MHDyb5mNyfeO67qUmqvQT0MgJv0K5dOzRt2lSNyDdv3hxr165VabWrpXrOS0gdgZet4S1ZCpLeb9hOnz5t0tdCpKW9N/aizI9lMGX/FHW7d7neOP7BcdQIrME3BlBz8A2V9OnV+8fr16+zm8hmZcsGrFoFzJwJeHsDmzcDJUoAv/+udcvIFvH4kYisvshefK1atcJnn32GNGnSoH379mpU/PHjx2oEXartvycT2sxEqlnLnPlly5a99HnZsmVT0wYMB+YyJ19S+6Wd8UfxJY2/ilTXecnJDNkMmIJK9iAyJhKfbfsME3ZNQJwuDjl8c2B2i9lomL+h1k2zygD/2rVriIiIgKenp9ZNsiqJ949Etk7O9/fqBdSuDXToIAV+ZQABWLMGmDoV8PXVuoVkK3j8SEQ2NYI/adIkVKpUCf369UPGjBnVTkwuZe59hQoV1OPmIlXyZZ69jNa/zMOHD9VokgT6oly5cnBzc8OGDRuMz7l9+7aqkP2yAJ/I3hy9cxRvzHoD43eOV8F9h5IdcOKDEwzukyD7Gl9fX5XpI4VEicgxSH3NXbv0VfWdnQFZhbdMGWD/fq1bRkREZIYRfDnglbnu69atU4XtJJiWZedq166titi9LOX9dUgFfwnwO3XqBFfXZ81++vSpWsavTZs2KqC/cuWKKvgnJx0k20DI/NBu3bqppfGkrVJhf8iQIShRooSqqk9k72LiYvDVzq/UyL1cz+SdCT82+xGtiuj/Ruh5si/Lnz8/jhw5gosXL6JIkSLsJiIH4eYGfP65fi6+jOb/+6/UGQLGjgU+/lgf+BMREdlFgB9/3XnZLEVS8yVVVqrnJ16vWpa7mz9/viq+J0G+nGxYsmSJOhlhMHnyZHVioG3btmppv7p162Lu3Lnq54ns2en7p9FpRSccvKWvndG6SGvMbDoTmXwyad00q2cI8DkPn8gxVa8OHDsG9O4NLFkic6uBTZuAX3+V6X9at46IiMiEAb6lSXaApMom5uXlhfXr17/y52X+7NSpU9VG5Ahi42Lx3d7vMHLzSETGRsLf0x/TGk9D+xLtzZZpY48BvvhXhu+IyCH5+wO//QY0bAj07SsDDkCpUsD8+fr7iIiIrEmqksxkHfry5cvDx8dHjYAn3ohIWxcfXUTNuTUxZMMQFdw3zt8Yp/qcwnsl32NwnwL58uXT9+fFi+Z6q4jIBsg50S5dZLUgoGRJKdIrmYzAiBFATIzWrSMiInqNAH/lypXo0qULypQpo1Ld5fq7776rgn2pOj1q1KiU/koiMhEpnPfD/h9QamYp7Lq+C2nc02BW81lY3X41svs+W1qSUhbgs8geEQkpxbFvH9Cnj74/xo/XV92/cYP9Q0RENhrgf/XVVxg8eDBmymKxkC+5PmpEX9adj42NRUBAgDnaSUSvcC3oGhr82gB91/ZFWHQYaueurSrkdy/bnaP2qZQ3b151KcU7Zf9GRCQrZv7wA/D77/ql83buBEqXBpIxW5CIiMj6Avxz586pyvOGObwx/+WmyVrzn3zyiVmXySOi50ltil+O/ILi04tj0+VN8HL1wpRGU7Dx/Y3I7Z+bXfYacubMCXd3d0RHR+MGh+iIKJ633wYOH9YvoffwIdC4MTB6NMBzgUREZFMBvoxiyQGvs7OzSsu/c+eO8bFcuXLh0qVLpm4jEb3ArZBbaPZbM3Rb2Q0hUSGonLMyjvY+in4V+8HZies4vS7ZzwUGBqrrTNMnosSkDufu3foq+1IHWJbWk0D//n32FRERaSPFEUCePHlw69Ytdb1UqVL4TUrL/ufPP/9Uy9QRkflH7RedWKRG7ddcWAN3F3dMqDcBO7rsQMEMBdn9ZkjT58lLInpRyv6MGfqq+t7ewIYNQLlywIED7C8iIrKBAF/Wj5c16cWAAQPUevOylFTRokXVvPzechqbiMzmXug9vPXHW3hv2Xt4HPEY5bKVw+Geh/Fx1Y/h4sxVLExNTmoKjuAT0ct07KgvwFewIHD9OlCtGjBrFvuMiIgsyzWlP/DFF18gMjJSXX/77bfVsngLFy5Uc/I//vhjdO7c2RztJCIAy84sQ+9VvXE/7D5cnV0xqsYoDKs2DG4ubuwfM2GAT0TJVbw4sH8/IIdCK1YAPXvqb0+bBnh4sB+JiMgKA3wPDw+1GbRu3Vpt8VOHDQX4iMg0HoU/Qr+1/VRaviiRuQTmvTkPZbKVYRebGQN8IkoJPz9g6VJgwgTgk0+An38GTp7U35edq5USEZGZmbQK16JFi1BEFoklIpNZfX61mmsvwb0UzhtRbQQO9DjA4N5CcufWr0Rw9epVS/2TRGTjnJ2B4cOBtWuBdOmAvXv18/L37NG6ZUREZO+SHeAHBQVh3rx5+Prrr7FixQrExcUZH1u2bBmKFy+ODh06GNP3iej1BEUEoetfXVWV/NtPb6NwxsLY020Pvqj7BTxcmetpKYYq+lJclPs3IkqJBg30xfYkdV8WHapVC5g7l31IREQap+hfvHgR1atXx71794wp+DVr1lSB/rvvvot169bB399fBf/9+vUzY3OJHMM///6jlr67EXwDTnDCoEqDMK7OOHi5eWndNIeTKVMmeHl5ITw8HDdu3EC+fPm0bhIR2RDZZcjI/fvvA8uXA126ACdOAF9/DbiwLioREWkxgv/pp58iODgYY8aMwerVqzFlyhScPXsWVapUwdq1a9GtWzf8+++/GDJkSIL5+USUMiGRIaqIXsMFDVVwny9dPmzvsh0TG05kcK8ROaGZK1cudZ1p+kSUGmnSyFLCwKhR+tuTJgHNmgHBwexPIiLSYAR/27Zt+OSTTzBcJpT9R5bGa9y4sVoWb/r06SZuFpHj2XplK7r81QVXnlxRt/u+0Rdf1fsKPu4+WjfN4Uma/rlz53Dliv69ISJKzbz8zz4DihXTV9lftw6oUgVYtUpqfbA/iYjIgiP49+/fR9WqVRPcV00WeAXQrl07EzWFyDGFRYeh/9r+qD2vtgruA/0Csen9TZjaZCqDeythGMG/LotbExG9hrZtge3bgWzZgFOngAoVWHyPiIgsHODHxsbC09MzwX2G276+viZsDpFj2XVtF0rNLIWp+6eq2z3L9sSJD06gTp46WjeNkii0xxR9IjKF8uWB/fuB0qVlEAWoXRv44w/2LRERWShFX0h6qqura4KgX8hc/MTKli1rgqYR2a/w6HB8uuVTTNozCTrokMM3B2a3mI2G+Rtq3TRKQkBAgLrkCD4RmUrOnMCOHUD79sDff+tH9qXw3pAhUvuD/UxERGYO8DvLhLEkdOzY0XjdUGHfEPwT0fP23diHzn91xtkH+pNjnUt3xuSGk+Hv6c/uslIM8InIXMX3pLL+wIHAtGnAxx8Dly8DU6eywj4REZkxwJ8zZ04qfz0RGUTGRGLM1jH4evfXiNPFIWuarJjVfBaaFWzGTrKhOfiGE5lERKYgS+VNmaJfTm/wYGDGDOD2bWDRIsCLK6MSEZE5AvxOnTql9PcSUTyHbh1CpxWdcOr+KXX7vRLvYUrjKUjvlZ79ZANy5MihLsPCwvDkyROkS5dO6yYRkR2Rc4Yyii9p+x06ACtWAPXq6VP30/NrgoiITF1kj4hSJyo2CqO2jELFnyuq4D6TdyYsa7sMC1ovYHBvQ7y8vJAxY0Z1nfPwichc3noL+OcfwN8f2L0bqF4duHGD/U1ERMnHAJ/ITI7dOYYKsypg7PaxiNXF4u2ib+NUn1NoVaQV+9wG5ZShNQA3b97UuilEZMdq1AB27pTMIeD0aUBWKT53TutWERGRrWCAT2Ri0bHRGLttLMrPKo9jd48hg1cGLHlrCX5/+3dk8snE/rbxAP8Gh9OIyMyKFQN27QIKFgSuXQOqVQMOHWK3ExHRqzHAJzKhk/dOotLsShi1dRRi4mLQqnArNWrftlhb9rOdzMNngE9ElhAYqB/JL18eePAAqFNHv6weERHRyzDAJzIBCebH7xiPcj+Vw+Hbh5HOMx0Wtl6IpW2XIkuaLOxjOwrwmaJPRJaSKROweTNQsyYQHAw0bAisX8/+JyKiF2OAT/SaTt8/jSqzq2DE5hGqqJ4seyej9u1LtOdyanaEAT4RacHXF1i7FmjSBAgPB1q0AFau5HtBRERJY4BPlEqxcbH4Ztc3KPtjWRy4dQB+Hn6Y23IuVr6zEtl8s7Ff7Uz27NnV5W1ZoJqIyIK8vIDly/VV9qOigDZtgD//5FtAREQ2GOCPGTNGjYLG37JmzWp8XKfTqefIwbcsZVWrVi2cOqVfa9wgMjIS/fr1U8tc+fj4oEWLFpxHS6/l3INzqDanGj7e+DEiYyPROH9jNWrfqXQnjtrbeYB/69YtrZtCRA7I3R347TegfXsgJgZo105/m4iIyKYCfFGsWDE1ambYTpw4YXzs66+/xqRJkzBt2jQcOHBABf/169dHSEiI8TkDBw7E8uXLsXjxYuzcuRNPnz5Fs2bNEBsbq9ErIlsetZ+4eyJK/1gae2/sRVqPtJjdYjZWt1+NHGn1c7TJPmXLps/KuH//PqJkCI2IyMJcXYH584EuXYC4OKBDB2DxYr4NRET0jCtsgKura4JR+/ij99999x1GjhyJ1q1bq/vmzZuHLFmyYNGiRejVqxeCgoIwe/Zs/Prrr6hXr556zoIFCxAQEICNGzeioVSsIUqGCw8voPNfnbH7+m51u0G+Bvi5+c8I8Atg/zmADBkywM3NDdHR0bh7967ahxARWZqLC/Dzz4CTE/DLL8B77+nvf+cdvhdERGQjI/gXLlxQ6bF58uTBO++8g0uXLqn7L1++jDt37qBBgwbG53p4eKBmzZrYvVsfhB06dEgdkMd/jvyu4sWLG5/zIpLaHxwcbNziZwWQ44jTxeH7vd+j1MxSKrj3dffFrOazsO69dQzuHYizs7PxRCPT9J/fP8pGRJbaHwGzZgFduz4byV+6lL1vLXj8SERasvoAv2LFipg/fz7Wr1+PWbNmqYC+SpUqePjwobouZMQ+PrlteEwu3d3dkS5duhc+50XGjx8PPz8/41a0aFGTvz6ybhcfXUStubUwcP1AhMeEo26eujjxwQl0L9udc+0dOE3/VfsOR5B4/8iMBiJtgvxOnQCZcSgj+H//zXfBGvD4kYi0ZPUBfuPGjdGmTRuUKFFCpdivXr3amIpvIIX3EqfuJ74vseQ8Z/jw4SrF37CdPn36tV4L2dao/dR9U9Wo/Y5rO+Dj5oMZTWdgQ8cNCPQP1Lp5pBHDCD4r6T+/f7x+/To/l0QaBPmzZ+uDeym8J1X2N27k26A1Hj8SkZZsYg5+fFIFX4J9Sdt/8803jaNphpE1ce/ePeOovhyQS0Gsx48fJxjFl+dIJsDLSLq/bAZMQXUMlx5fQte/umLb1W3qdu3ctVUhvTzp8mjdNLKSAF/m4Du6xPtHItJuTr4U3pPan8uWAXJotGEDULky3xGt8PiRiLRk9SP4Sc1rOnPmjAroZU6+HHBvkG+y/0gwv23bNmPwXq5cOVUYK/5zZPTt5MmTrwzwyfFG7acfmI6SM0qq4N7bzRs/NPkBG9/fyOCeFMOJQwb4RGRN3NyARYsAKTcUGgo0aQIcP651q4iISAtWP4I/ZMgQNG/eHLly5VKj7uPGjVMj6Z066dcblyXwvvzySxQoUEBtct3b2xvtZaFYQM0N7datGz766CNVBTt9+vTqdxpS/onElSdX1Kj9litb1O2agTXxS8tfkDddXnYQPTeCzzn4RGRtJKFGRvAlyJcawrJIkFzmYfIZEZFDsfoA/8aNG3j33Xfx4MEDZMqUCZUqVcLevXsRGKifB/3xxx8jPDwcffr0UWn4UpTvn3/+ga+vr/F3TJ48WS2117ZtW/XcunXrYu7cuXCRvDZyaFKL4cdDP+J/G/6Hp1FP4eXqha/qfYW+FfrC2cnmElzIQiP4crKRiMja+PgAUqqoRg3gxAl9kL9rF5Apk9YtIyIiS7H6AH/x4sUvfVxG8ceMGaO2F/H09MTUqVPVRmRw9clVdFvZDZsub1K3q+eqrkbt86fPz06iJGXOnFldMkWfiKyVvz+wbh0gsxAvXACaNgW2bNEH/0REZP84REkOOWr/06GfUHxGcRXcy6j9dw2/w9bOWxnc00txBJ+IbEH27MD69UCGDMCBA8C77+qX0iMiIvvHAJ8cyrWga2i4oCF6reqlUvKrBlTFsd7HMKDSAKbkU7JH8KUOSEREBHuMiKxWoULA339LFqP+sn9/OcGtdauIiMjcGOCTw4zazzo0C8WnF8eGSxvg6eqJSQ0mYVvnbSiQoYDWzSMbIUU7ZVUOwXn4RGTtZKm8BQtkOiMwfTowZYrWLSIiInNjgE8OMWrfaGEj9FzVEyFRIagSUEWN2g+qPAguziy0SMknNT+k2Ke4f/8+u46IrF6bNsA33+ivDx4MrFmjdYuIiMicGOCTXY/a/3z4ZzVq/8+//6hR+4kNJmJ75+0omKGg1s0jG8UAn4hsjQT23bsDcXFAu3bAqVNat4iIiBy2ij5RalwPuo4ef/fA+n/Xq9uVclbC3JZzUShjIXYomSTAl6U7iYhsgaTo//ADcPEisHUr0LIlsH8/kD691i0jIiJT4wg+2d2o/ezDs1WFfAnuPVw88E39b7Czy04G92QSGTNmVJcM8InIlri7A3/8AeTODfz7r34kPyZG61YREZGpMcAnu3Ej+AaaLGqC7n93R3BksBq1P9r7KIZUGcK59mTyAJ9z8InI1sju66+/AG9vYONG4JNPtG4RERGZGgN8sotR+1+O/IJi04th3cV1atT+63pfq1H7whkLa908stMA/+HDh1o3hYgoxUqWBObM0V+fMAFYtoydSERkTzgHn2x+1L7n3z2x9uJadVtG7ee0nMPAnswmQ4YM6pIBPhHZqrZtgX37gEmTgM6dgRIlgAJcMZaIyC5wBJ9skozazzkyR1XIl+Ceo/ZkKQzwicgefPUVUL06EBKiD/gjIrRuERERmQIDfLLJUfumi5qi68quCIoMQsUcFXGk1xH8r+r/ONeezI4BPhHZAzc34Lff9PPyjx7VL6VHRES2jwE+2fyo/a6uu1AkUxGtm0cOggE+EdmLHDmABQv012fMAJYv17pFRET0uhjgk03gqD1Zi3Tp0qnLx48fa90UIqLX1rAhMHSo/nr37sDNm+xUIiJbxgCfbKZCPkftyRqkT59eXYaFhSGCk1aJyA58/jlQrhzw6BHw/vtAXJzWLSIiotRigE9Wv659t5Xd1Lr2nGtP1iBt2rRwdtbvOjmKT0T2wN0dWLQI8PYGNm8Gpk3TukVERJRaDPDJZta151x7sgYS3Pv5+anrDPCJyF4ULAh8+63+uqTsnz2rdYuIiCg1GOCTVbkedJ2j9mT1OA+fiOxR795Agwb6JfO6dAFiY7VuERERpRQDfLKaUfvZh2ej+IzixlH7CfUmcNSerDrAf/LkidZNISIyGScn4OefAV9fYO9eYMoUdi4Rka1hgE9WM2rf/e/uCebaf1z1Y65rT1bJ399fXTJFn4jsTUDAs1T9kSOBS5e0bhEREaUEA3yyqlF7zrUnWwrwg4KCtG4KEZHJ9egB1K4NhIcDffrI9zU7mYjIVjDAJ6sYta+UsxKO9j6K/1X9H0ftyeoZiuwxwCcie03VnzFDX11//Xrg99+1bhERESUXA3yy+Kj9z4d/TlAh/5v632Bnl50onLEw3w2yqQCfc/CJyF4VKgQMH66/PmgQEBKidYuIiCg5GOCTxVwLuoZGCxuhx989EBIVgso5K6tR+yFVhnDUnmwywA8ODta6KUREZjNsGJA3L3D7NvDFF+xoIiJbwACfLDJqP+vQLBSfXhz//PsPPF098W39b7Gjyw6O2pNNYoo+ETkCT0/gu+/01ydNAi5c0LpFRET0KgzwyayuPrmKhgsaoueqns9G7XsdxUdVPuKoPdmstGnTqkuO4BORvWvWDGjUCIiOBoYO1bo1RET0KgzwyWyj9j8d+gklZpTAhksb1Kj9pAaT1Kh9oYyF2OtkFwF+CCelEpEDFNybOBFwcQGWLwe2b9e6RURE9DIM8Mkso/YNFjRAr1W91Kh91YCqONb7GAZVHsRRe7ILHMEnIkdStKh+6Tzx8cdcNo+IyJpZfYA/fvx4vPHGG/D19UXmzJnx5ptv4ty5cwme07lzZzg5OSXYKlWqlOA5kZGR6NevHzJmzAgfHx+0aNECN27csPCrsW9xujjMPDhTrWu/8dJGeLl6qVH7bZ23oWCGglo3j8hkZH8kOIJPRI5i9GjA2xvYtw9YuVLr1hARkc0G+Nu2bcOHH36IvXv3YsOGDYiJiUGDBg0QGhqa4HmNGjXC7du3jduaNWsSPD5w4EAsX74cixcvxs6dO/H06VM0a9YMsbGxFn5F9uny48uo/2t9fLD6AzyNeopquapx1J7sPsDnHHwichRZswIDBuivjxwJxMVp3SIiIkqKK6zcunXrEtyeM2eOGsk/dOgQatSoYbzfw8MDWeXbJwlBQUGYPXs2fv31V9SrV0/dt2DBAgQEBGDjxo1o2LBhkj8no/6yGXC07sWj9h9v+Bih0aFq1P6rel+hb4W+cHay+vNHRK8V4MuJQkeVeP/Ikx1E9k/S86dPB06dApYuBd5+W+sWWScePxKRlmwuApNgXaRPnz7B/Vu3blWBf8GCBdGjRw/cu3fP+JicDIiOjlYj/wbZs2dH8eLFsXv37pdOD5DlsAxbUZmERkaXHl9C3fl18eGaD1VwXyOwBo5/cBz9K/ZncE92LU2aNOoyIiJCZRU5osT7RzlhSkT2zd//2Sj+559zFP9FePxIRFpytrXK7IMHD0a1atVUcG7QuHFjLFy4EJs3b8bEiRNx4MAB1KlTxzi6dOfOHbi7uyNdunQJfl+WLFnUYy8yfPhwdULBsJ0+fdqMr862Ru2n7Z+mKuRvvbIV3m7emNJoCrZ02oL86fNr3TwiiwX4jjyKn3j/eP36da2bREQWMHCgFBoFTp4EVq1ilyeFx49EpCWrT9GPr2/fvjh+/LiaQx9fu3btjNcl8C9fvjwCAwOxevVqtG7d+qUnDKQg34tI2r9sBkxBBf599C+6reyGbVe3qT6pGVgTs1vMRr70+V7z3SWyHXLC0NXVVY3eSz0QfxnWcjCJ949E5BhkrOSDD4AJE/RbixZat8j68PiRiLRkMyP4UgF/5cqV2LJlC3LmzPnS52bLlk0F+BcuXFC3ZW5+VFQUHj9+nOB5ksYvo/iUvFH7qfumouTMkiq493HzwbTG07C502YG9+Rw5MSgrMbhyCP4ROS4JE3f3R2QWY67dmndGiIisqkAX0bZZeR+2bJlKgU/T548r/yZhw8fqnRRCfRFuXLl4ObmpqrwG0il/ZMnT6JKlSpmbb89uPjoImrNrYX+6/ojLDoMtXPXVnPtP6zwIefak8MyBPhhYWFaN4WIyKLk8KpjR/31779n5xMRWROrD/BliTypeL9o0SJVuVrmzMsWHh5uHD0bMmQI9uzZgytXrqhie82bN1fr3bdq1Uo9RwpAdevWDR999BE2bdqEI0eOoEOHDihRooSxqj49LzYuFt/t/Q4lZ5TEjms7kMY9DWY0nYGN729E3nR52WXk0LxlQWjguSU7iYgcgaHY3rJlAEtwEBFZD6ufgz9jxgx1WatWreeWy+vcuTNcXFxw4sQJzJ8/H0+ePFGj9rVr18aSJUuMS1mJyZMnqzmzbdu2VScH6tati7lz56qfp+edf3geXf/qil3X9bl3dfPUxc8tfkZu/9zsLqJ4I/gM8InIEZUoAdSuDWzZAvz4IzBunNYtIiIimwjwJUX/Zby8vLB+/fpX/h5PT09MnTpVbfTyUfvv932PkZtHIiImQo3af1v/W/Qs1/OlBQmJHHUE35BNRETkaKTYngT4v/wCjB4NuLlp3SIiIrL6AJ8s59yDc+jyVxfsubFH3a6ftz5mNZ+FQP9Avg1EiTBFn4gcXcuWQObMUtcIWL0aePNNrVtERERWPwefLDNq/82ub1BqZikV3Pu6+6rAfn2H9QzuiV6SPSQ4gk9Ejkoq6XfqpL8+b57WrSEiIsEA38GduX8GVX+pio83fozI2Eg0zNcQp/qcQvey3ZmST5SMAD8iIoL9REQO6/339Zcygv/ggdatISIiBvgOKiYuBhN2TkCZH8tg3819SOuRFrNbzMba99YiwC9A6+YRWT2O4BMRAcWLA2XLAtHRwB9/sEeIiLTGAN8Bnbp3ClVmV8GwTcPUqH3j/I3VqH3XMl05ak+UTFK4U3AEn4gc3Tvv6C8Z4BMRaY8BvoON2o/fMR5lfyqLA7cOwM/DD3NbzsXq9quRM21OrZtHZFM4gk9EpNe2rf5y2zbg7l32ChGRlhjgO4gTd0+g0s+VMGLzCETFRqFpgaZq1L5T6U4ctSdKBY7gExHpBQYC5csDcXHAqlXsFSIiLTHAt3PRsdEYt30cyv1UDoduH0I6z3T4tdWv+Pvdv5EjbQ6tm0dkszw8PNRlZGSk1k0hItJcixb6y5UrtW4JEZFjY4Bvx47dOYaKP1fEp1s+RXRcNFoUaqFG7TuU7MBRe6LXxBF8IqJnmjfXX27cKCc+2TNERFphgG+HJAX/s62fofys8jhy5wjSe6XHglYLsKLdCmTzzaZ184jsgrssAC1/b1FRWjeFiEhzpUoBWbIAYWHA7t1at4aIyHExwLczR24fwRuz3sCYbWNUUb1WhVupUfv3Sr7HUXsiE2KKPhHRM05OQP36+uv//MOeISLSCgN8OxEZE4lPN3+qgvvjd48jg1cGLG6zGEvbLkXWNFm1bh6R3eEIPhFRQnXr6i+3b2fPEBFpxVWzf5lM5uCtg+jyVxecvHdS3X6r6Fv4ockPyOyTmb1MZCYM8ImIEqpRQ3954AAQHi7LibKHiIgsjSP4Nj5qP2LTCLX8nQT3mbwz4fe3fscfb//B4J7IzBjgExEllCcPkD07EB2tD/KJiMjyGODbqP0396PsT2Uxfud4xOpi0a5YOzXX/u1ib2vdNCKH4Obmpi6j5UiWiIjUPPyKFfUdwQCfiEgbDPBtTERMBIZuGIrKsyvj9P3TaqRe5tkvfmsxMvlk0rp5RA6DAT4R0fPeeEN/yQCfiEgbnINvQ/be2Kvm2p99cFbdbl+iPaY0moIM3hm0bhqRw2GAT0T0vDJl9JfHjrF3iIi0wADfBoRHh2PUllGYtHcS4nRxqir+j81+RItCLbRuGpHDcnXV7z5jYmK0bgoRkdUoUUJ/eeECEBEBeHpq3SIiIsfCAN/K7bq2C11XdsX5h+fV7fdLvY/JDScjvVd6rZtG5NAMAT7n4BMRPSNF9tKlAx4/Bs6dA0qVYu8QEVkS5+BbqbDoMAxaNwjV51RXwX123+xY9e4qzHtzHoN7IisK8GNjY7VuChGRVRXaK1jw2Sg+ERFZFkfwrdD2q9vR9a+u+Pfxv+p2l9JdMKnhJPh7+mvdNCL6j4uLi7pkij4RUUIS4O/bxwCfiEgLDPCtSGhUKIZvGo6p+6eq2zl8c2BW81loXKCx1k0johcE+HFxcewbIqJ4cufWX167xm4hIrI0BvhWYuuVrWrU/vKTy+p29zLd8W2Db+Hn6ad104joJQE+U/SJiBIKCNBfXr/OniEisjTOwddYSGQI+qzug9rzaqvgPiBtANa9tw6zWsxicE9kxRjgm0eNGjXg5OSkNlmKsFChQli0aBEsTaZefPLJJ8iTJw+8vLyQN29efP755y/N2JgxYwZKliyJtGnTqq1y5cpYu3btc8+bPn26+r2enp4oV64cduzYYeZXQ2RZOXLoL2/dYs8TEVkaA3wNbby0ESVmlMCMgzPU7V7leuFkn5NomL+hls2yadu3b0fz5s2RPXt2FSCsWLHCZAfyPCin+Jyd9btPnU7HjjER6cujR49i/PjxuH37Ns6fP49q1aqhU6dOuHxZn91kKRMmTMDMmTMxbdo0nDlzBl9//TW++eYbTJ2qn0KVlJw5c+Krr77CwYMH1VanTh20bNkSp06dMj5nyZIlGDhwIEaOHIkjR46gevXqaNy4Ma4xl5nsSKZM+sv797VuCRGR42GAr4HgyGD0+rsX6v9aH1eDriK3f25s7LgRM5vNRFqPtFo0yW6EhoaiVKlS6qDclAfyPCinFwX4TNE3nQsXLiAkJEQF9VmzZlUn3UaMGKFOwh0/ftyiH8I9e/ao4Lxp06bInTs33nrrLTRo0EAF7i8iJxebNGmCggULqu2LL75AmjRpsHfvXuNzJk2ahG7duqF79+4oUqQIvvvuOwQEBKjRfyJ7C/AfPNC6JUREjocBvoX98+8/KD69OH46/JO63ad8H5z44ATq5q0LWyejVJJeK6PgpUuXxq5du9Qo+rFjxyzWBhkJGzduHFq3bm3SA3kelFNi8tkWHME3nUOHDql+lTR3gxs3bqjLLFmypOh3ffnllyq4ftn2stR4OcmwadMmlUUgZD+2c+dOFcAnh5z4Wbx4sTrpKKn6IioqSr1G2b/EJ7d3796dotdHZM38/isfFBEhn3utW0NE5FgcLsDXKs06KCII3Vd2R8MFDXE9+DrypsuLLZ224IemPyCNexrYQ3BfqVIllW4qaaejRo1SgbLMoZVRKksdlKfGqw7keVBOSWGAb3qHDx9W+2eZvy7OnTuHIUOGqBOGFSpUwKpVq9Sc/AIFCuDnn39+6e/q3bu3Svd/2Va+fPkX/vzQoUPx7rvvonDhwmo/VqZMGZVaL/e9zIkTJ9R+ysPDQ7Vh+fLlKFq0qHrswYMHKvBPfLJCbt+5cycFPUVk3Xx9n11/+lTLlhAROR6HqqJvSLOWIL9q1ar48ccf1Yjv6dOnkStXLrP9u2svrEXPVT1xI/gGnOCEfhX64cu6X8LH3Qf2om/fvioglpRUIQfFCxYswKVLl+Du7p7s3yMHxG3btn3pc3IYqveYiBzIBwUFqTZL4TQ5AJfXYTiQ50E5JYUBvunJ6PaVK1dUgCxp+dLH7dq1U9NopCbG4MGDsWXLFnUCoGzZsipTJ3369En+Lrn/RY8l9/tC9mFS4K9YsWLqhIB8f0h9D6kJ8CJyAkKe++TJEyxdulQ9d9u2bcYgP/5nx0CyQBLfR2TLXF0B+eqX0fvQUPl71LpFRESOw6EC/Php1kLmPq5fv17NfZSiTqb2OPwxBq0fhHnH5qnb+dPnxy8tfkH1wOqwJ3JAvnXrVpw8eTLB/TKCJfPhU+J1D8rNeSDPg3KKjwGZ6Un2z//+9z+1j/b29ka2bNmM/Swp7PL3aTjBJycUZf/9ohF1yQaS7WWkwr1kHSVF2jFs2DC888476naJEiVw9epV9V3xsgBfTmjmz59fXZcMgQMHDuD7779XJ5QzZsyoTiImHq2/d+9eiqcgENlCkC8BfkyM1i0hInIsDhPgG9Ks5YAtuXMfIyMj1WYgxZ+S60nEExSfURy3Qm6pUftBlQZhbJ2x8Hbzhr2RlHY5qJWD7/ikYJ3hQFgObmWT90Hm175o2avXPShPjVcdyPOgnOjV+8fg4ODX6ibJ9pFR7/r16xsD5Phu3bqVIHtHKtbfvHnTbNlAYWFhxkKKBhKcv2yZvKTI6Lyhn2Q/KVPDNmzYgFatWhmfI7elDgiRPXFz0186YoD/OsePRESvy2EC/NSkWUuA99lnn6Xq3/P39Efzgs2x5coWzGk5B1UCqsBeyUGvpNNGRESo2gZCUlIl8JcR/MePH+Onn35SI1nyXDmIt6YU/VcdyPOgnJIi87JlSUVLZ5xYi9fZP76swJ4EwElJqpjhy7IoXjcbSCriy1Qdmb4lJy8lu0CywLp27Wp8jqy8IXPspYaHkIr/Mu1LquLLAb0U2ZPspnXr1hl/RqYZdOzYUY3uS/E92TfKEnmy7yOyJ3nzSmArK47A4bzu/tEljQs883rCPVvypzgSETlcgJ+aNOvhw4ergzEDGS2KP4/yVb5t8C1cnFzg5eYFeyYH5BLsyEj4oEGDVE0DSXEXUhzL1dUVDx8+VHPdu3Tp8txIvykPyp8+fYqLFy8ab8va2ZJyL7/TUGch8UF5cg7keVBOickyaP/++6/Ddkzi/aOM4Etg+zoF9mTk3t/f/4Un9uKP2Et1/YoVK8JcZJnMTz/9FH369FEp9DJlp1evXqqAaPwTx/E/A3fv3lXB++3bt+Hn56eylSS4l6wEA6kpIPvDzz//XD2vePHiWLNmDQIDA832Woi0cPiw4/b76x4/Znozk9qIyA55ez+rPirXzUHnICIjI3UuLi66ZcuWJbi/f//+uho1aiTrd1y/fl2GkNQlJbRw4UJdQECAzsfHR9eqVSvduHHjdPnz5zc+HhwcrJs/f76ucOHCur///tts3bdlyxb1HiXeOnXqZHzO6NGjdYGBgQnaNmDAAF2uXLl0np6eurx58+pGjhypPjPx/fDDD+rn3N3ddWXLltVt27aNHwNKEXvehwQFBanXJpfmEB0drfYpN27cUH+zcv3Bgwdm+beIyD73I1qx530/EVnffsRhRvCZZm1e7du3V5uQ1PbatWvj7bffVrcvXLiglrWSkS1Z4i7+vDRTq1Wr1ivXJR8zZozaDHx9fVXBRdleRkbyZCMiy5NMoIkTJ6p9i+xjPv74Y2TIkIFvBREREVE8DhPgC6ZZm8f27dtx//59tU60pKx+8803qrK+pMGLsWPHYt++faoqthTHi19ciogouVq0aKE2IiIiIkqaQwX4nPtoHjLvVKrQyxwzKVpYr1497N+/3ziXfv78+Wb6l4mIiIiIiMghA3zBNGvTk1R8Qzo+ERERERERacMBFy8hIiIiIiIisj8M8ImIiIiIiIjsAAN8IiIiIiIiIjvAAJ+IiIiIiIjIDjDAJyIiIiIiIrIDDPCJiIiIiIiI7IDDLZP3OuLi4tTl7du3tW4KEdkgw77DsC+xJzqdTl0GBwdr3RQislGG/Ydhf2IvePxIRJY8hmSAnwJ3795VlxUqVEjte0NEpPYluXLlsqueCAkJUZcBAQFaN4WI7GB/4ufnB3vB40cisuQxpJPO3k6TmlFMTAyOHDmCLFmywNnZOVlfUEWLFsXp06fh6+trkTZaO/YJ+8SRPydy1lV2zGXKlIGrq32dX5XXduvWLfV+OTk5JWukTk4GXL9+HWnTpoW94+u1b3x/TUMOSWX/nz179mQdZ9nr8aM9fw++Cl83329HEJKKv++UHEMywDfzF76cgQ4KCnKIA9jkYJ+wT/g5IUfcF/D12je+v8TPFP+WuA/hvtNavjPs5/QoERERERERkQNjgE9ERERERERkBxjgm5GHhwdGjx6tLol9ws8J/3bIcfePfL32je8v8TPFvyXuQ7jvtJbvDM7BJyIiIiIiIrIDHMEnIiIiIiIisgMM8ImIiIiIiIjsAAN8IiIiIiIiIjvAAJ+IiIiIiIjIDjDAf03Tp09Hnjx54OnpiXLlymHHjh0vff62bdvU8+T5efPmxcyZM+HIfbJ161Y4OTk9t509exb2Yvv27WjevDmyZ8+uXtuKFSte+TP2/DlJaX84wmfEEaV032mrxo8fjzfeeAO+vr7InDkz3nzzTZw7dw6OQl6//L0OHDgQ9urmzZvo0KEDMmTIAG9vb5QuXRqHDh2CPYqJicEnn3yi/na9vLzU99Pnn3+OuLg4rZtmV+x9/zhmzJjnvtOzZs1qfFyn06nnyHGCfM5q1aqFU6dOwd6Od5LzOiMjI9GvXz9kzJgRPj4+aNGiBW7cuAFbft2dO3d+7v2vVKmSzb/u8cn4vrfUe84A/zUsWbJEHbSMHDkSR44cQfXq1dG4cWNcu3YtyedfvnwZTZo0Uc+T548YMQL9+/fH0qVL4ah9YiB/ALdv3zZuBQoUgL0IDQ1FqVKlMG3atGQ9394/JyntD0f4jDia1O4nbJGcrPvwww+xd+9ebNiwQQVIDRo0UH8H9u7AgQP46aefULJkSdirx48fo2rVqnBzc8PatWtx+vRpTJw4Ef7+/rBHEyZMUCecZf995swZfP311/jmm28wdepUrZtmNxxl/1isWLEE3+knTpwwPiafq0mTJqnPmexHJPivX78+QkJCYE/HO8l5nfJZWL58ORYvXoydO3fi6dOnaNasGWJjY2HLx3mNGjVK8P6vWbMmweO2+Lq3JeP73mLvuY5SrUKFCrrevXsnuK9w4cK6YcOGJfn8jz/+WD0eX69evXSVKlVy2D7ZsmWLTj6Gjx8/1jkCea3Lly9/6XMc4XOSkv5wtM+II0jpfsKe3Lt3T32et23bprNnISEhugIFCug2bNigq1mzpm7AgAE6ezR06FBdtWrVdI6iadOmuq5duya4r3Xr1roOHTpo1iZ74wj7x9GjR+tKlSqV5GNxcXG6rFmz6r766ivjfRERETo/Pz/dzJkzdfZyvJOc1/nkyROdm5ubbvHixcbn3Lx5U+fs7Kxbt26dzlaP8zp16qRr2bLlC3/GHl53Ut/3lnzPOYKfSlFRUSoFT87MxCe3d+/eneTP7Nmz57nnN2zYEAcPHkR0dDQcsU8MypQpg2zZsqFu3brYsmULHJm9f05Si58R+/A6+wl7EBQUpC7Tp08PeyajGE2bNkW9evVgz1auXIny5cvj7bffVimZsp+aNWsW7FW1atWwadMmnD9/Xt0+duyYGmGSrDN6fY60f7xw4YJKU5apCO+88w4uXbpkzGK8c+dOgj7w8PBAzZo17aoPkvM65bMgx33xnyN9Vrx4cZvvC5l+KfvMggULokePHrh3757xMXt53UGJvu8t+Z4zwE+lBw8eqFSJLFmyJLhfbsublxS5P6nnSwqH/D5H7BMJ6iWFU9LPly1bhkKFCqkgX+bvOCp7/5ykFD8j9iU1+wl7IYMZgwcPVkGSfFnbK0krPHz4sJqPaO8kKJkxY4aaMrR+/Xr07t1bTamaP38+7NHQoUPx7rvvonDhwmpagpzQkHRSuY9en6PsHytWrKj+RuRvRk6IyWurUqUKHj58aHyd9t4HyXmdcunu7o506dK98Dm2SKacLFy4EJs3b1ZTmiRVvU6dOmruub28bl0S3/eWfM9dTfAaHJoUhkj8hia+71XPT+p+R+kTCehlM6hcuTKuX7+Ob7/9FjVq1ICjcoTPSXLxM2KfUrrvtAd9+/bF8ePH1YinvZL994ABA/DPP/+oAmH2TorLyQj+l19+qW5LwCsFkyTof//992GP88MXLFiARYsWqTnUR48eVQG+jDB16tRJ6+bZDXvfP0qAZ1CiRAl17JcvXz7MmzfPWGzN3vvAIDWv09b7ol27dsbrEvzKPjQwMBCrV69G69at7eJ1933J970l3nOO4KeSVDZ0cXF57myKpJgkPjNjIIUUknq+q6urqr7riH2SFNm5S+qWo7L3z4kpOPpnxJaZaj9ha6QirqRzyxSknDlzwl5JeqG8l1L5W/ZZsknhoSlTpqjr1lwgKbUZRkWLFk1wX5EiReyuIJrB//73PwwbNkylVEtg1rFjRwwaNMghsjUswVH3j1IpXD5P8r1uqKZv732QnNcpz5FpG1LM80XPsZf9qAT4huM6W3/d/V7wfW/J95wBfipJ+oQcwEiVxPjktqQZJUXOUCZ+voxyyJkrSXVzxD5JilSNlT92R2XvnxNTcPTPiC0z1X7CVshZdzmTL1OQJB1R5pvaM5liJdWwZWTXsMm+67333lPXJXixJ1JBP/EySDI/XQ5W7VFYWBicnRMeOsp7ymXyTMPR9o8GkpotqzLI97rsIyXIid8HEvDIiUJ76oPkvE75LMhxX/znSMX5kydP2lVfyNQMyf4yHNfZ6uvWveL73qLvebLL8dFzpMKhVDqcPXu27vTp07qBAwfqfHx8dFeuXFGPS8XTjh07Gp9/6dIlnbe3t27QoEHq+fJz8vN//vmnw/bJ5MmTVXXN8+fP606ePKkel4/l0qVLdfZUTfrIkSNqk9c2adIkdf3q1asO+TlJaX84wmfE0bxqP2FPPvjgA1Uhd+vWrbrbt28bt7CwMJ2jsOcq+vv379e5urrqvvjiC92FCxd0CxcuVPvvBQsW6OyRVL/OkSOHbtWqVbrLly/rli1bpsuYMaNa/YVMwxH2jx999JHaJ8rxzt69e3XNmjXT+fr6Gl+jVBmX/aZ8vk6cOKF79913ddmyZdMFBwfr7Ol4JzmvU1ZUyJkzp27jxo26w4cP6+rUqaNWIIiJidHZ4uuWx+T93717t9qHyEpJlStXVvsVW3/dHyTj+95S7zkD/Nf0ww8/6AIDA3Xu7u66smXLJlj6SL4I5cAmPnnTy5Qpo56fO3du3YwZM3SO3CcTJkzQ5cuXT+fp6alLly6dWm5o9erVOntiWOYt8SZ94Yifk5T2hyN8RhzRy/YT9iSpz7psc+bM0TkKew7wxd9//60rXry4zsPDQy1n9tNPP+nslRyEynuZK1cutU/OmzevbuTIkbrIyEitm2ZX7H3/2K5dOxXUyImM7Nmzq6UWT506ZXxclhOTpfRkSTH5u6pRo4YKhuzteCc5rzM8PFzXt29fXfr06XVeXl7qZMi1a9d0tvq6Jdht0KCBLlOmTOr9l32J3J/4Ndni60Yyvu8t9Z47/dcgIiIiIiIiIrJhnINPREREREREZAcY4BMRERERERHZAQb4RERERERERHaAAT4RERERERGRHWCAT0RERERERGQHGOATERERERER2QEG+ERERERERER2gAE+ERERERERkR1ggE9ERKSRuXMBJ6dnm6srkDMn0KULcPMm35akxO+vb799/vHLl4H+/YEiRQAfH8DTE8idG+jQAdiyBdDpzNf/b7757HcVL873j6zD3Llz4eTkZNxcXV2RLVs2vPPOO7hw4UKqfueYMWOMvy9NmjQJHqtVq5a6P2/evNDF/4P7z/bt240/K20z9eu8cuVKin9269at6mfl0hyOHj2a4D34888/k/Vzn3/+OYoWLYq4uDjjfQ8fPsTw4cPV/T4+PvDz80PhwoXRsWNHHD9+3CSv3fD+Jkfu3LnRuXNn4+1Nmzapz8TNZO5EDZ8X2Zo1a/bc48HBwfjqq69QsWJF+Pv7w83NDVmyZEGjRo2waNEiREZGGp8r771TvH52dnZGhgwZ0KRJE+zZswcp9d133yX4fQ8ePIAtcNW6AURERI5uzhygcGEgPFwOfoHx44Ft24ATJ/RBKiXUrRvQvTsQGJjw/pUrgfbtgYwZgd69gbJlAQ8P4OJFQI6n69QBNm4E6tY1T/9//TUwbBjQpw8QFcV3jazLnDlzVCAYERHx//bOBDqKMmvDFwKBoCCLMOwMoqhEDFsIiySyuPCjIKB4UCAuELbJBPhZlFUmLI7bmJFVEQUUh2FnZJFh0QEcIICsAyKLKIuCg/iDMiMJ/Z/nq1RS3amY7pCQdLzPOXUSK9VVX33dNvXe+977yZYtW2TixImyceNGOXTokJQrVy5H50Q0hYSEZNpfunRpOX78uGzYsEHa+vwPN3v2bClTpowRbr8W6tata+Zq165dMnDgQL9ec/r0aXnppZdM4AKhCpcuXZJmzZqZn8OGDZOIiAi5fPmyHD58WJYsWWICCXffffc1j7d3795GQOcE3u+mTZvKyJEjZc6cOX69pmHDhjJt2rRMn0MCUIzj7NmzEhcXJ6NGjTLHnDlzRj766CN55pln5ODBg5KYmOj1uvj4eHniiSckNTVVDhw4IOPHj5fWrVub94Br+QtBMOZ71qxZ8vbbb0uwoAJfUZRM/Dflv9JvZT9Zd2yd/PCfH6RexXry2gOvSYsaLXS2FCUPINvbpIn1e+vWIqmpIjyvLFsm8uST7q/56SeRUqWC6+1AQIeFXft5yLI3a+a97+hRke7dRcLDLRFfpkzG32JirKAACSo3HZOT+Xejbl3rJ9cOkkSP8ivirrvukiZpH3SypoifcePGybJly+RpbCs5APHjRs2aNY3IR8w7Bf7Fixdl4cKF8uSTT8pbb70lvxZKlSpl5orgir8kJSWZjHWXLl3S9zF3R44cMYETBKuTIUOGeGX6r4Xq1aubLacQxHj88cdlwoQJUqNGjWyPJ+Dj+1lKSUmRRx55RM6fPy/bt2+XO7FlOejWrZuMHTtWPvvsM9fPX7O087Vs2VJuvfVW8zkkiBDI565y5cpmW7NmjQQTatFXFCUTKVdTpHbZ2rLlmS1y4bkL0r9Jf+n4QUf56cpPOluKch2wn3NOnLB+4n7EBUtG+f77yY5lZKHJFE+YYGWgyVZXrGhZzM+d8z7nhg081ItUqGCJ7Jo1Rbp2tQIFNtOni0REWNfiGpxz5MiMv7/wgmU/98W2ujudsdjicVsuWUJ2xrLKjx9v/e2bb0T69rWEemioSO3a1t9SUnI+Z6+9Zt3LtGne4t4J98/9BTr/jC0qSqR8eevcOANI5ri4jxUlaLDF/rfffuu1f8eOHdKxY0cpX768lCxZ0mQ8//rXvwZ8frKrZJUvXLiQvu8vf/lLembUjc2bNxshRnAAUdyiRQtZuXJlpuO2bt1qhBvjq1q1qrGsX7lyJdNx2Kqxm2dnK3eDIAibL7yO1zuZPn26yaZjTWfsOCXIYOeUn3/+2WSMyULb2Xvbng+UWLjhPDaQ+fTFzaLP/A4fPtwIXs51zz33GOHtxsMPP2zm4lqCOEuXLpV//etfJmvvK+5tatWqZYIA2dEs7Uv9RNqX+oIFC+T+++838xgWFmbO/9xzz8mPP/4ohQEV+IqiZOKG0BtkbMxYqXlTTSlapKjENoiVq56r8sW/c1arpyhKYGApB8S6DUK+Y0fLZr58uSU6SdZ06iTy4ouWNZ3nNn7/+98tMUvGHBDeHTpYYnr2bBGSERyH/dy2kvPcjbWcbPfSpVb2evBgkWt53tm1S2TYMKsmnmsSUEDcN20q8tFHImPHiqxebWXXscX36ZPza3HPPPPamfjcnH/mj4AEGoeABQm1+Hgry68owQoWets+boNlH+GMKJ8xY4YsX75cGjRoYLKxgdbLI+Kx73/wwQfp+xCtjz76qMnY+vLJJ59ImzZt5IcffjDH8TqEKWIRQWaD6EO0MkbGxDjJ4pItzg8IWgwYMEBiYmKMKMURMXjw4GsSi9u2bTNi3jdL37x5c/OzV69e5jq24HfD3/n0lz59+sgrr7xirs3nomvXrsZd8P3332c6NjQ01O9gQlb8nS914d+9jnKtHEn7Uq+Y9qWO9Z+6fOaF7PygQYNMEIu5KQyoRV/Jc/Z+u1eStibJxyc+ltMXT5t91ctUlza/bSN9GveRJlVz4WksQN7d/a48vfxpOZ5wXH5b1orCfvr1p7L26FoZ1GyQlC1ZNteu9dSyp2TOHqsGKbxiuOwfsF+CjUPfHZLLKZelTvk66fuWHVomnRd0Tv/v5D7J+fJeKkphAEs42Wvcm9R+85xKBt35XENyCkHsdNIiyhHOixdbotOGLHVkpJVZ799fZOdO69wvv+ydwSYoYLNli0jZsiJ//nPGPt9a9UA5e5aH8QzrOlAbz/PggQOWi8C+Dq6CoUOtgEC9eoFf6+uvRRo0yLyfIIjTtUqCyyfJle38U6PvPB/BE7L3SUkiY8a4uxoUpaCBJR/bs12DjyCOjo72ElAI1fDwcGMBpxkfPPDAA6a5GBlpxJ1vljgrEJOIeWz6/fv3N8Ic4frHP/7R9XgyqNRX0+zNbtxH0zUCDEOHDjWWbLLKNJ6jeR9jpNkadOjQwZQg5AfMJVb6Pzu+PH37DgSK3RCuEXYhBwRfuH/eu86drWew2rVrm/eIOXbW3/s7n/5Anwbq6Qlc0BcA7rvvPjP/lFu4wdgnT55sAh00AwyUr/lST8vSO+G957Nswz349oG4evWq+azbNfj9+IdHJH2so0eP9jof80oWnyANjQpzo49BfqIZfCVPmbljpjR+s7FsO7VNEqIS5MPuH8rKJ1bKoKhBcuDcAYl8K1KOnj963d+FDrd1kH8++0+pcmOGxQmBP/6T8XLhPxlWstyi8o2VzfXmd50vwQa2/J5Le8roVqPlxtCMTrkxtWLMPbFfUZRrA/dg8eKWqMTWXrmyldlOe3ZNhwy4kw8/tEQ5SQcEqr0hdDmH3RSZ/yZ7HxcnQs+jY8cyj4GsOk5a6thxCORGDTnPSE5xb4+ZpFTVqt5jbt/e+jsCOzch8MHc2htugkDnn/KGdu1EbrpJhOdIjiXYQvKMIIaiBAPYlOlAjvCmcRnij0ysLeTJciLkbBGEQLI3sp00Nvv8888Dtulj+d+3b5/JltapU8cEFXxBBCL+CQg4u/Ij3OgOf/LkyfRr4zJAQNvi3j4Ol0F+QEM53ATdu3c385kbndZpsIdwvZmOoT6MGTNGvvrqKxM46du3r5kvXAyNGzdOd0sEMp/+wJyDr5gnSGB/fnypVKmSEdrfYNvKRehNwOfY3iiN8GXEiBHmb5RwMC/M18yZM83nGI4dO2bKHyg3YE44FnEPNO0LdjSDr+QZW77aIgNWDTBielG3RRIaEpr+tza128jApgNl4YGFElY87BfFZaniud9FquINFc12vSgRUkKaVXdvRJMftJ3b1rw/bgxrMUwS21i+0yupV6Tbwm6myd7IVt61ZOXCypl7IruvKMq1MXeutawbz0k8s7qVV9JQz9fVSuksohzx7ob9nFmnjtV4jsQLDZxxjt5yiyV2ExKsY3r2tIQ2JZMEEshU4wIgm33ffTm7L7f7YMx/+5slkn9pzIGCG8CumXfy6qtka6zfuZ9A558SU/oekLVnbuy+AZQwTJyYUQahKAWduXPnmiwlje6waCN4EKWriWY5avHJ7rK5Eah4Rczfdttt5lpYoLFCu2WNsXmTSXWrLafGHmw7Oj8RZr647bseIJgJglBvjm0dURsZGWmy7GS5cwKd8RGdbisUAMENGiPazRFZerB9+/aSkJBg3tNA5tMf7GN95xhxzzJ0biCu7XvJCTTKs+vmnWUkCHPq/4EAh3OZPJuEhATp0aOHcZvgrsDlYH/uWIGgVatWZny8R5ybngI4Big5yOl4CxIq8JU8Y9LmSRJSJERmPjTTS9w7eSz8sfTfX/j4BZNB3xm3UyZtmiTrj6+XksVKypn/PSNHzh+RiZsmyuavNsup/ztlxGWjKo1kUptJUv839b0s4+t6rpO2t3hbo6YnTzfBhj399sjdv7k7k0XfvjbUTqqd/rqNsRvNPUS/Gy3zu8yX7vW7e5137p65ErssVrb33i6R1bJ4cswC+5qMKfEfiaY8gGs91eApeem+l4yzIWFNgmz5eotUCKsgAyIHyPCWw7M977kfz8moDaNk9ZHVcvbHs1KmRBmpW6GujL93vLS7pZ05Zn2v9dmeh5r7Xst6SUjREHm749t+27gURQkcxGV2teNu/wuS3OHZKqsGv2SkbVq1sjacjTt2iLzxhsigQZagtftd8azIRgCA5eLGjbMy2ocPW0vSpT2vCc9TNPSzyeqZP6sxk9lHHLuR9uwZMDxHT51q3ZtzLgluXMv8UwZBMALngX3/gMBXlGACcW831qO2G/syy3+xJjuZXjtbTMM6Z+d2J7fffnvA10WEYonmOSI2Ntb1GNwEiDFcAm7ZbLDHh6B0ywq77StRooSrAPRH3CIAqV/3J8hhi20y54htVifADs/ydb4Wc3/gXmm056+9nUAKTeOoy2dJuUDm0x9sEc8cV6tWLX0/gY2s5pLu94FexwnBkTfffFNWrFjhFXDCGcAGuFHc3t/q1aunf9Z9obSDOaB0wc7ag7MZZLCjFn0lT0i9miobj280NdlVSrt3+syKLgu6yK3lb5WFjy2UGR1mmH3U7iNyX2z7oqzpsUam/s9UKVa0mETNipLPv7MsRg/VfUgq3VBJ3tntKJZM490975qAAOLejd6Nekt803jz+5JuS4z1nI3XtKrVShpWbihTk6dmet2U7VMksmpkwOLeCRnyiN9EyOJui6VPoz7yp61/ksFrBssjCx4x7oeljy81jocR60bIkoNLsj0fdnqCHWOjx8raHmtl1sOzpF3tdvLvn/yP1ELfv/WVMxfPyIJHF5i5VhSl4IH45tkK0c6zjO/m9ixOQoiO8IhhuxGeLzxPYpkfNcpqwke9PNiNo/fu9T6ejHwgY96/3xLebmPOqcCnISAuBxwKFy9KrkGQgsy+M5FGgmfevNy7hqLkB9RSIwRZaoysM+KdbPuePXuMOHLbEFSBgqineRnrtjvFoRNEbFRUlOm678ygMq733nvPCDY7i0twYv369V7d/wlWuDWOo9s9NdW+Ao8sbnbwWgS6U0AiZj/99NMsX8N9kEmn8zsCnfrvnEAXfjjK+p8OuGe3pfC4fxrHkYkmYx3IfPqDvZrA+++/77UfVwYi3w1s8AQGnKUUgUCPgXr16smkSZNM6UhuUSQt8kzwxwkuk8KCPrUrecJ3P31nmrLVKlvLVfx7JGNtIbLWzuxwbESsjG+dtpZSGtG1os3mPAfiN3xauMzcOdOs0Y4I7VG/h0zfMd2s3X5TyZvMsQfPHZTtp7bLG+3fyHK8NP2jYzw0rNIwvfGeze+jfm8y/ru/2S0NKltdnJJPJUvy6WSZ84jVQC+nxDWOkyHNh5jfybCvPbZWpiRPMYGGzndaDVTu/e298uHhD+X9fe9Llzvdo+o2ZPx7N+xtGhjadLqjU0BjOnHhhMz6bJZxUNz8UkbkdfWTq03AQ1GUggGZd563KCvEak8dPdnmkyepmbQ67NOHacYMq46cTvq4HmkmRzd9oLYc6GBPo7uWLS2LOskwOttTd25b27kOS8XR9f4Pf7CEL4380noh+QWvozlyixZWiQBBCMZDp/pVq6yx5mT5ZQIGlJ/SQ6B+fau5IP2peIajTn7tWuu4rJbQywrmjCX4aEhIDwMCKq+84u1gUJRgBHFPtp6lz+bPn28szYgcBCpN21gODkFOJpa65F27dpl12AMFSziZ5eygIRtZWwQ8GVs6sbNu+f79+01tuf2siBuArC4d4glOIGqnTp3q2rUe+zw16xxHtpZGf1OmTJGb+GLLBl7LfDAvdJBH3BMU8V0BgL+x1BqN2rDEk+XmXrgGVv2cYAtqlgN0NnybN2+eGRM2dc7NNainx4lBMIH7ZN4CmU9/3R/Mw+uvv25KB9q1a2fOQ1d9txUR7LEz5zl1gFKewOeGzyJ9Dphn5oXPLdl2egwQjMpqCb2soLs/56DxHk4L7ofABecqLGgGX7nu0HSveGLx9O3Vf77q9feu9bq6rsuObb/e1HoSmhgqxRKLSeiEUPni/Bdy8LuMZhjPNHzGBBYWHMiI4pLRpwb+ifqOdtEB0v2u7sYdMHV7Rhb/je1vSMVSFeXx8Gtr6oLzwMmdN98pRaSItL+tfUYkrmgx42pAeGdH02pNjWNhwj8myNaTW00dfaAQmPGM88jlUZfl0shL6ZuKe0UpWJBVXrHCWque5dsQ8ywJzBJ42MkRunaTPZIsWO7JzFNvf+6c9VrqywH7Ppl1AgXY3cmIk+DZtCljuTie4ygHIInXo4fVEZ/G1WT6/YXgATZ6rktX/wcftMZDwIFxliuX8/mgGfi+fdZPOt8T4OA6uDtxX7L8X1alAVnBsoSMjfPSzJB7ffRROlTnfJyKUlCIj483tc50ZicLjBhkbXOywNTLI+Tozr5u3Trze16CGCS7TvaZ4ALL7GGRR8w7G+jRLZ/xICxxB8TFxRkRjJD3BdcAG8vp4SJYvHixyTpzf9mBYKdzPMK5U6dOpl6bgIgtvm2o50bsUveNoKbTPNnxTZs2pS/LFig1atQw56VpnxNWC2Asq1atMg0MCXIMHDjQvHeI//GsnxrgfPoLTRKHDBli5pKVF5hH5hOx7AvOAxorZtVh319wlOzevdvMO/NJkIHP6LPPPmsE/sSJE81nIRAqVKhglu8jMMT5mEcaEeZk6cACi0dR8oCU1BRP2IQwT/NZzTP97cDZA57kU8meFYdWeOQF8by85WWzf9zGcea/z146m+k18aviPUXHF/U8v+55z5ov1ni2ndxmzhExPcIT806M17GRb0Z6ms1qlj6OKq9U8XRb2M3rmHc+e8dc6/j3x9P3MQ7ffU7GbBjjKTWxlOf7y9+bMZZILGHGkx2xS2M9tf5UK9N++37P/Xgu0/E3TLwh0/HcZ/jU8Gyvx/kSVieYa3L+Gyfd6Om5pKfnzMUznrzAnkveD0VRlLyGJ5cxYzyeK1c8nqtXC9Z8p6Za44qO9njCs/+6VpSgZdy4cVgxPVeuXPGkpKTk93CCAuZq3bp1Zt4WLlyY7fGLFi3yhISEeE6ePOkJNkaPHu2pWbOmuefsiImJ8URHR5tjU/kSLUBcvXrVjGvMmDHmfTt3zvuZvaCiGXwlT6AxG3XjO07vMHXcTujITm2+3RzPFzcrz3t735NeEb1kUttJ8sCtD5gsNeegFMCXpxs8bTLXWPPXHFkjZy6dMfuulf5N+pts+OzPZstbu94yroJ+Tax1NQsSN5e6WV5/8HX5ctCXcmLQCZncdrKp3X9q2VP5PTRFUZRcITHRKkWgQ35Bwl6SjwaFivJrAHuzP3b3XztkoW1ru7/Q6BAbPlb7YAL7PCUT1M5ntYSeLzQmZH5wBhQkktKW5EvkH50gQmvwlTzj+XueN53c+63sJ4seWyTFQ7JYE8kPEP3Y7J2sPLxSTl08ZazrTuh0P2TtENMp/9iFY1KtdDW5v06aB/UXsM9/+Yr78hg0C6Tr/7TkafJz6s/y8O0Pp9ftF1QY3++a/s6sSJDVsniKoijBRHJyxu81akiBwrkkH/0MFKWwgi2eLvGQ1VJuSgY0MEx2fHnV8WN5D559WXoPSz3N8eiKHwwcP37cWOrpE+AP9BRg6Ubwp3TievKEY0m+gji+rFCBr+QZLWu2NN3u41fHS6M3G0lcozgJrxQuRYsUNVn9xQcXm+NYxs2fOnUE+x0332E64e88vVNe/vRl0xzPl7Ily0rnOzqbOvQL/7kgQ5sPNdfMDttRkLQtyTT6IyBxe4XbpXSJjI6xCVEJErUvyvz+TqfM3frzG5oLtp7T2vQbYK5Kh5Y2jQBxMmTXnE9RFCUYyG45wfzEnyX5FKUwQOM8ez11JXtowpfVsm2/BP0G2IKJhg0bms1fcrL04vWikmNJvmBCBb6Sp2Bhb169uRHNLP/GcndEJBHmLWq0MOuxY+XPjqQHk6R40eIyefNkufTzJbN83ZLHl8joDWmpEh+w5H+w/wPzO+vK+wOd6nEdzNkzx1jwWQd+Y+xGs9+G0gA67IcVC5O2t7SVggZd76OqRcm8vfPkywtfmpICsvgjWo6Q4S2H5/fwFEVRFEVRFEXJQ4pQiJ+XF1CUwsTeb/dKxIwI40wYEDnAr9dQ+/7xlx/Lkd8fMd3x6U9QGOCrI9WTKnP3zJVnVzwryX2STV8ERVEURVEURVHyB83gK4ofHD1/VE78cEJGrh8pVW6s4rcrwIbXsiRgeMVw2T9gf6GY8+WfL5fOCzrn9zAURVEURVEURUlDM/iK4mcWHts7a9TPfGim6S/gL1jl7W7/WPvpQ1AYoL/BkfNHvFZHKFW8VL6OSVEURVEURVF+zajAVxRFURRFURRFUZRCQHCst6AoiqIoiqIoiqIoyi+iAl9RFEVRFEVRFEVRCgEq8BVFURRFURRFURSlEKACX1EURVEURVEURVEKASrwFUVRFEVRFEVRFKUQoAJfURRFURRFURRFUQoBKvAVRVEURVEURVEUpRCgAl9RFEVRFEVRFEVRCgEq8BVFURRFURRFURSlEKACX1EURVEURVEURVEKASrwFUVRFEVRFEVRFEWCn/8HCcX1XwLSk7YAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(
,\n", " array([[,\n", " ,\n", " ],\n", " [,\n", " ,\n", " ]],\n", " dtype=object))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Define default parameters to use for radial solver\n", "radial_solver_parameters = dict(\n", " degree_l = 2,\n", " solve_for = ('tidal',),\n", " use_kamata = True,\n", " integration_method = 'DOP853',\n", " integration_rtol = 1.0e-6,\n", " integration_atol = 1.0e-10,\n", " scale_rtols_bylayer_type=False,\n", " max_num_steps = 500_000,\n", " expected_size = 500,\n", " max_ram_MB = 2000,\n", " max_step = 0,\n", " nondimensionalize = True,\n", " verbose = False,\n", " raise_on_fail = False\n", ")\n", "\n", "# Use numerical shooting method or matrix method\n", "use_shooting_method = True\n", "if use_shooting_method:\n", " # Use the numerical shooting method technique.\n", " radial_solution = \\\n", " radial_solver(*rs_inputs, **radial_solver_parameters)\n", "else:\n", " rs_parms = {**radial_solver_parameters}\n", " rs_parms[\"use_prop_matrix\"] = True\n", " radial_solution = \\\n", " radial_solver(*rs_inputs, **rs_parms)\n", "# Pull out Love and Shida Numbers as well as the gravitational-viscoelastic radial solutions\n", "k2 = radial_solution.k\n", "h2 = radial_solution.h\n", "l2 = radial_solution.l\n", "tidal_y = radial_solution.result\n", "\n", "radial_solution.plot_interior()\n", "radial_solution.plot_ys()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate Tidal Displacement\n", "Utilizing the simplified tidal potential (low eccentricity, no obliquity, spin-synchronous)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Define latitude and longitude domain\n", "colatitude = np.linspace(0.1, 179.9, 35)\n", "latitude = colatitude - 90.\n", "longitude = np.linspace(0., 360., 30)\n", "longitude_r = np.radians(longitude)\n", "colatitude_r = np.radians(colatitude)\n", "time_domain = np.linspace(0., orbital_period, 100)\n", "\n", "long_mtx, lat_mtx, time_mtx = \\\n", " np.meshgrid(longitude_r, colatitude_r, time_domain, indexing='ij')\n", "\n", "# Calculate the simplified tidal potential\n", "if use_simple_potential:\n", " frequencies_by_name, mode_by_name, potential_by_mode = \\\n", " tidal_potential_simple(radial_solution.radius_array, long_mtx, lat_mtx, time_mtx, orbital_freq,\n", " eccentricity, tidal_host_mass, semi_major_axis)\n", "else:\n", " frequencies_by_name, mode_by_name, potential_by_mode = \\\n", " tidal_potential_nsr(radial_solution.radius_array, long_mtx, lat_mtx, time_mtx, orbital_freq, spin_rate,\n", " eccentricity, tidal_host_mass, semi_major_axis)\n", "\n", "potential, potential_dtheta, potential_dphi, potential_d2theta, potential_d2phi, potential_dtheta_dphi = \\\n", " potential_by_mode['n']\n", "\n", "# Scale by the tidal solutions\n", "u_r = radial_displacement = \\\n", " tidal_y[0, :, np.newaxis, np.newaxis, np.newaxis] * \\\n", " potential[np.newaxis, :, :, :]\n", "u_th = polar_displacement = \\\n", " tidal_y[2, :, np.newaxis, np.newaxis, np.newaxis] * \\\n", " potential_dtheta[np.newaxis, :, :, :]\n", "u_phi = azimuthal_displacement = \\\n", " tidal_y[2, :, np.newaxis, np.newaxis, np.newaxis] * \\\n", " potential_dphi[np.newaxis, :, :, :] / np.sin(lat_mtx)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "c23f0021e9094947acbc8584e12ba7be", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=50, description='Time Index', max=99), IntSlider(value=101, description=…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "38679575eb59457389fef647806c973c", "version_major": 2, "version_minor": 0 }, "image/png": 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"text/html": [ "\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot results\n", "%matplotlib widget\n", "\n", "fig_disp, axes_disp = plt.subplots(ncols=3, figsize=(7, 3))\n", "plt.subplots_adjust(wspace=.5)\n", "ax_disp_r = axes_disp[0]\n", "ax_disp_th = axes_disp[1]\n", "ax_disp_phi = axes_disp[2]\n", "\n", "def update_fig(time_idx=0, radius_idx=0):\n", " orbital_period_now_displacement = time_domain[time_idx] / orbital_period\n", " depth_now_displacement = radial_solution.radius_array[radius_idx]\n", " ax_disp_r.clear()\n", " ax_disp_th.clear()\n", " ax_disp_phi.clear()\n", " fig_disp.suptitle(f'{orbital_period_now_displacement:0.2f} Orbital Period; R={depth_now_displacement/1000:0.0f} km')\n", " \n", " ax_disp_r.set(ylabel=r'Latitude [$\\deg$]', xlabel=r'Longitude [$\\deg$]',\n", " title='Radial Displacement', xlim=(0, 360), ylim=(-90, 90))\n", " ax_disp_th.set(ylabel=r'Latitude [$\\deg$]', xlabel=r'Longitude [$\\deg$]',\n", " title='Polar Displacement', xlim=(0, 360), ylim=(-90, 90))\n", " ax_disp_phi.set(ylabel=r'Latitude [$\\deg$]', xlabel=r'Longitude [$\\deg$]',\n", " title='Azimuthal Displacement', xlim=(0, 360), ylim=(-90, 90))\n", " \n", " ax_disp_r.contourf(longitude, latitude, np.real(u_r[radius_idx, :, :, time_idx]).T, 15)\n", " ax_disp_th.contourf(longitude, latitude, np.real(u_th[radius_idx, :, :, time_idx]).T, 15)\n", " ax_disp_phi.contourf(longitude, latitude, np.real(u_phi[radius_idx, :, :, time_idx]).T, 15)\n", " fig_disp.tight_layout()\n", "\n", "interact(update_fig,\n", " time_idx=widgets.IntSlider(min=0, max=len(time_domain)-1, step=1, value=int(len(time_domain)/2),\n", " description='Time Index'),\n", " radius_idx=widgets.IntSlider(min=0, max=len(radial_solution.radius_array)-1, step=int(len(radial_solution.radius_array)/20),\n", " value=len(radial_solution.radius_array)-1, description='Radius Index')\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Strain and Stress Tensors\n", "Here we will calculate the strain and stress tensors using the methods described in TB05 and B13" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "strains, stresses = calculate_strain_stress(\n", " potential,\n", " potential_dtheta,\n", " potential_dphi,\n", " potential_d2theta,\n", " potential_d2phi,\n", " potential_dtheta_dphi,\n", " tidal_y,\n", " longitude_r,\n", " colatitude_r,\n", " time_domain,\n", " radial_solution.radius_array,\n", " rs_inputs.complex_shear_modulus_array,\n", " rs_inputs.complex_bulk_modulus_array,\n", " orbital_freq,\n", " degree_l=2)\n", "\n", "# Strain and stress tensor is stored as a tuple of:\n", "# s_{rr}, s_{\\theta\\theta}, s_{\\phi\\phi}, 2 * s_{r\\theta}, 2 * s_{r\\phi}, 2 * s_{\\theta\\phi}\n", "# The two on the cross terms is to account for the matrix being symmetric with twice the number of cross terms.\n", "strain_rr, strain_thth, strain_phph, strain_rth, strain_rph, strain_thph = strains\n", "stress_rr, stress_thth, stress_phph, stress_rth, stress_rph, stress_thph = stresses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stress and Strain over time" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a22037ecb6ed429985549ac3e1ede50e", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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\n", " Figure\n", "
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radial_solution.radius_array[radius_idx]\n", " \n", " str_pre = ''\n", " str_post = ''\n", " def scale_func(arry):\n", " return np.real(arry)\n", " if show_imaginary:\n", " str_pre = 'Im['\n", " str_post = ']'\n", " def scale_func(arry):\n", " return np.imag(arry)\n", "\n", " fig_strain_time.suptitle(f'{orbital_period_now:0.2f} Orbital Period; R={depth_now/1000:0.0f} km')\n", " tensor_txts = {0: 'rr', 1: r'\\theta\\theta', 2: r'\\phi\\phi', 3: r'\\theta', 4: r'\\phi', 5: r'\\theta\\phi'}\n", " ax_i = 0\n", " ax_j = 0\n", "\n", " for tensor_i, tensor_txt in tensor_txts.items():\n", "\n", " strain_ax = axes_stress_strain_time[ax_i, ax_j]\n", " stress_ax = axes_stress_strain_time[2 + ax_i, ax_j]\n", " strain_ax.clear()\n", " stress_ax.clear()\n", " strain_variable = strains[tensor_i][radius_idx, :, :, time_idx]\n", " stress_variable = stresses[tensor_i][radius_idx, :, :, time_idx]\n", "\n", " if tensor_i in (3, 4, 5):\n", " # Off diagonal tensor terms are only half counted in the tensor so need to be doubled.\n", " strain_variable *= 2\n", " stress_variable *= 2\n", "\n", " strain_ax.contourf(longitude, latitude, scale_func(strain_variable.T), 10)\n", " stress_ax.contourf(longitude, latitude, scale_func(stress_variable.T), 10)\n", "\n", " if ax_j == 0:\n", " strain_ax.set(ylabel=r'Latitude [$\\deg$]')\n", " stress_ax.set(ylabel=r'Latitude [$\\deg$]')\n", " if ax_i == 1:\n", " stress_ax.set(xlabel=r'Longitude [$\\deg$]')\n", " strain_ax.set(title=str_pre+r'$\\epsilon_{'+f'{tensor_txt}'+'}$'+str_post, xlim=(0, 360), ylim=(-90, 90))\n", " stress_ax.set(title=str_pre+r'$\\sigma_{'+f'{tensor_txt}'+'}$'+str_post, xlim=(0, 360), ylim=(-90, 90))\n", " \n", " ax_j += 1\n", " if ax_j == 3:\n", " ax_j = 0\n", " ax_i += 1\n", " \n", " fig_strain_time.set_constrained_layout(True)\n", " plt.subplots_adjust(wspace=.2, hspace=0.55)\n", "\n", "interact(update_fig, \n", " time_idx=widgets.IntSlider(min=0, max=len(time_domain)-1, step=1, value=int(len(time_domain)/2), description='Time Index'),\n", " radius_idx=widgets.IntSlider(min=0, max=len(radial_solution.radius_array)-1,\n", " step=int(len(radial_solution.radius_array)/20),\n", " value=len(radial_solution.radius_array)-2, description='Radius Index'),\n", " show_imaginary=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stress over depth\n", "**Latitude: 0, Longitude: 0**" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0fefd444973b4dc598411cd8463fa8e2", "version_major": 2, "version_minor": 0 }, "image/png": 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"text/html": [ "\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "latitude_idx = find_nearest(latitude, 25.)\n", "longitude_idx = find_nearest(longitude, 120.)\n", "time_index = 5\n", "\n", "show_real = False\n", "show_imag = False\n", "show_abs = False\n", "\n", "# Plot results\n", "fig_strain_depth, axes_strain_depth = plt.subplots(ncols=3, nrows=2, figsize=(9, 5))\n", "plt.subplots_adjust(wspace=.6, hspace=0.7)\n", "\n", "def scale_func(arry):\n", " return np.real(arry)\n", "\n", "str_pre = ''\n", "str_post = ''\n", "if show_real:\n", " str_pre = 'Re['\n", " str_post = ']'\n", " def scale_func(arry):\n", " return np.real(arry)\n", "elif show_imag:\n", " str_pre = 'Im['\n", " str_post = ']'\n", " def scale_func(arry):\n", " return np.imag(arry)\n", "elif show_abs:\n", " str_pre = '|'\n", " str_post = '|'\n", " def scale_func(arry):\n", " return np.abs(arry)\n", "\n", "tensor_txts = {0: 'rr', 1: r'\\theta\\theta', 2: r'\\phi\\phi', 3: r'\\theta', 4: r'\\phi', 5: r'\\theta\\phi'}\n", "ax_i = 0\n", "ax_j = 0\n", "\n", "for tensor_i, tensor_txt in tensor_txts.items():\n", "\n", " strain_ax = axes_strain_depth[ax_i, ax_j]\n", " strain_ax.spines['bottom'].set_color('blue')\n", " strain_ax.xaxis.label.set_color('blue')\n", " strain_ax.tick_params(axis='x', colors='blue')\n", "\n", " stress_ax = strain_ax.twiny()\n", " stress_ax.spines['top'].set_color('red')\n", " stress_ax.xaxis.label.set_color('red')\n", " stress_ax.tick_params(axis='x', colors='red')\n", "\n", " strain_variable = strains[tensor_i][:, longitude_idx, latitude_idx, time_index]\n", " stress_variable = stresses[tensor_i][:, longitude_idx, latitude_idx, time_index]\n", "\n", " if tensor_i in (3, 4, 5):\n", " # Off diagonal tensor terms are only half counted in the tensor so need to be doubled.\n", " strain_variable *= 2\n", " stress_variable *= 2\n", "\n", " strain_ax.set(xlabel=str_pre+r'$\\epsilon_{'+f'{tensor_txt}'+'}$'+str_post)\n", " stress_ax.set(xlabel=str_pre+r'$\\sigma_{'+f'{tensor_txt}'+'}$'+str_post)\n", " if ax_j == 0:\n", " strain_ax.set(ylabel='Radius [km]')\n", "\n", " strain_ax.plot(scale_func(strain_variable), radial_solution.radius_array / 1000., 'b-')\n", " stress_ax.plot(scale_func(stress_variable), radial_solution.radius_array / 1000., 'r-')\n", " \n", " ax_j += 1\n", " if ax_j == 3:\n", " ax_j = 0\n", " ax_i += 1\n", " \n", "fig_strain_depth.set_constrained_layout(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tidal Heating Rate\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Calculate tidal heating based on the stress and strain values\n", "# Heating is equal to imag[o] * real[s] - real[o] * imag[s] but we need to multiply by two for the cross terms\n", "# since it is part of a symmetric matrix but only one side of the matrix is calculated in the previous steps.\n", "# First calculate the trace terms which are not multiply by two.\n", "volumetric_heating = (\n", " # Im[\\sigma_ij] * Re[\\epsilon_ij]\n", " (\n", " np.sum(np.imag(stresses[:3]) * np.real(strains[:3]), axis=0) +\n", " # Now add the cross terms where we do multiply by two\n", " 2. * np.sum(np.imag(stresses[:3]) * np.real(strains[:3]), axis=0)\n", " ) -\n", " # minus Re[\\sigma_ij] * Im[\\epsilon_ij]\n", " (\n", " np.sum(np.real(stresses[3:]) * np.imag(strains[3:]), axis=0) +\n", " 2. * np.sum(np.real(stresses[3:]) * np.imag(strains[3:]), axis=0)\n", " )\n", " )\n", "volumetric_heating = np.abs(volumetric_heating)\n", "\n", "# The total heating is equal to the volumetric heating times the volume within each voxel.\n", "# TidalPy has an easy function to find these volumes\n", "from TidalPy.utilities.spherical_helper.volume import calculate_voxel_volumes\n", "voxel_volume = calculate_voxel_volumes(radial_solution.radius_array, longitude_r, colatitude_r)\n", "\n", "# Need to increase the dimensions of the voxel volume so that it can be multipled by the heating\n", "# which is also defined across the time domain.\n", "voxel_volume_higher_dim = voxel_volume[:, :, :, np.newaxis]\n", "heating = volumetric_heating * voxel_volume_higher_dim\n", "\n", "from scipy.integrate import trapezoid\n", "# Now lets average the heat across one orbital period\n", "heating_orb_avg = (1. / orbital_period) * trapezoid(heating, time_domain, axis=-1)\n", "volumetric_heating_orb_avg = (1. / orbital_period) * trapezoid(volumetric_heating, time_domain, axis=-1)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "04acf8a1d66544a38181ff4667df1bf3", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
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\n", " Figure\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4dde25ae8ef34989ac5a8f40514759c5", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=50, description='Time Index', max=99), IntSlider(value=101, description=…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Setup Figure\n", "from matplotlib.gridspec import GridSpec\n", "fig_heat = plt.figure(figsize=(9, 4))\n", "gs = GridSpec(\n", " 1, 4, width_ratios=[0.4, 0.05, 0.1, 0.4], figure=fig_heat, wspace=0.2\n", ")\n", "plt.show()\n", "axis_heat = fig_heat.add_subplot(gs[0, 0])\n", "cbar_ax = fig_heat.add_subplot(gs[0, 1])\n", "axis_heat_depth = fig_heat.add_subplot(gs[0, 3])\n", "\n", "# Initial plot\n", "cb_data = axis_heat.contourf(longitude, latitude, np.zeros((longitude.size, latitude.size)).T, 15)\n", "cb_heat = fig_heat.colorbar(cb_data, cax=cbar_ax)\n", "\n", "def update_fig(time_idx=0, radius_idx=-1,\n", " sum_depth = False, show_flux = True,\n", " fixed_long=0., fixed_lat=0., orbit_average=False):\n", "\n", " global cb_data, cb_heat\n", "\n", " # Clear main plot + depth plot\n", " axis_heat.clear()\n", " axis_heat_depth.clear()\n", "\n", " # Remove old contour and colorbar\n", " # cb_data.remove()\n", " # cb_heat.remove()\n", "\n", " # Determine if we are averaging over the orbit\n", " if orbit_average:\n", " heating_to_plot = heating_orb_avg\n", " heating_at_depth = volumetric_heating_orb_avg\n", " else:\n", " heating_to_plot = heating[:, :, :, time_idx]\n", " heating_at_depth = volumetric_heating[:, :, :, time_idx]\n", "\n", " # Determine if we are summing over the depth of the world\n", " if sum_depth:\n", " heating_to_plot = np.nansum(heating_to_plot, axis=0)\n", " else:\n", " heating_to_plot = heating_to_plot[radius_idx]\n", "\n", " # Plot Results\n", " axis_heat.clear()\n", " axis_heat_depth.clear()\n", " plt.subplots_adjust(wspace=.1, hspace=0.3)\n", "\n", " # Set figure title\n", " orbital_period_now = time_domain[time_idx] / orbital_period\n", " depth_now = radial_solution.radius_array[radius_idx]\n", " fig_heat.suptitle(f'{orbital_period_now:0.2f} Orbital Period; {depth_now/1000:0.0f} km')\n", "\n", " axis_heat.set(title='Tidal Heating [W]')\n", " if show_flux:\n", " if sum_depth:\n", " heating_to_plot = heating_to_plot / world_surf_area\n", " else:\n", " heating_to_plot = heating_to_plot / (4. * np.pi * radial_solution.radius_array[radius_idx]**2)\n", " axis_heat.set(title='Surface Heating Flux [W m-2]')\n", " axis_heat.set(ylabel=r'Latitude [$\\deg$]', xlabel=r'Longitude [$\\deg$]', xlim=(0, 360), ylim=(-90, 90))\n", "\n", " cb_data = axis_heat.contourf(longitude, latitude, heating_to_plot.T, 15)\n", " cb_heat = fig_heat.colorbar(cb_data, cax=cbar_ax)\n", " \n", " # plot depth at sub-stellar point\n", " lat_indx = find_nearest(latitude, fixed_lat)\n", " long_indx = find_nearest(longitude, fixed_long)\n", " axis_heat_depth.plot(heating_at_depth[:, long_indx, lat_indx], radial_solution.radius_array/1000.)\n", " axis_heat_depth.set(xlabel='Tidal Heating [W m-3]', ylabel='Radius [km]', xscale='log')\n", "\n", " axis_heat.plot([longitude[long_indx]], [latitude[lat_indx]], marker='x', c='r')\n", "\n", " fig_heat.set_constrained_layout(True)\n", "\n", "interact(update_fig,\n", " time_idx=widgets.IntSlider(min=0, max=len(time_domain)-1, step=1, value=int(len(time_domain)/2), description='Time Index'),\n", " radius_idx=widgets.IntSlider(min=0, max=len(radial_solution.radius_array)-1, step=1,\n", " value=len(radial_solution.radius_array)-1, description='Radius Index'),\n", " sum_depth=widgets.Checkbox(value=False, description='Sum Depths'),\n", " show_flux=widgets.Checkbox(value=True, description='Heat Flux'),\n", " orbit_average=widgets.Checkbox(value=False, description='Orbit Averaged'),\n", " fixed_long=widgets.IntSlider(min=0, max=360, step=30, value=180, description=r'Fixed $\\phi$'),\n", " fixed_lat=widgets.IntSlider(min=-90, max=90, step=30, value=0, description=r'Fixed $\\theta$')\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compare Matrix Propagation vs. Shooting Method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Radial Function Results" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b57bdf676bfd4ca69daf0a84f95d7899", "version_major": 2, "version_minor": 0 }, "image/png": 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def shooting_radial(core_static=True, mantle_static=False, incompressible=False):\n", " rs_input_copy = list(rs_inputs)\n", " rs_input_copy[7] = (core_static, mantle_static)\n", " rs_input_copy[8] = (incompressible, incompressible)\n", " rs_input_copy = tuple(rs_input_copy)\n", " \n", " radial_solution = \\\n", " radial_solver(*rs_input_copy, **radial_solver_parameters)\n", " \n", " # Pull out Love and Shida Numbers as well as the gravitational-viscoelastic radial solutions\n", " k2 = radial_solution.k\n", " h2 = radial_solution.h\n", " l2 = radial_solution.l\n", " tidal_y = np.copy(radial_solution.result)\n", " \n", " return tidal_y, (k2, h2, l2)\n", "\n", "def prop_matrix_radial():\n", " rs_input_copy = list(rs_inputs)\n", " rs_input_copy[6] = ('solid',) # Layer type\n", " rs_input_copy[7] = (True,) # Layer is static\n", " rs_input_copy[8] = (True,) # Layer is incompressible\n", " rs_input_copy[9] = np.asarray((rs_inputs[9][1],))\n", " \n", " rs_input_copy = tuple(rs_input_copy)\n", " rs_parms = {**radial_solver_parameters}\n", " rs_parms[\"use_prop_matrix\"] = True\n", " rs_parms[\"starting_radius\"] = core_radius\n", " \n", " radial_solution = \\\n", " radial_solver(*rs_input_copy, **rs_parms)\n", " \n", " # Pull out Love and Shida Numbers as well as the gravitational-viscoelastic radial solutions\n", " k2 = radial_solution.k\n", " h2 = radial_solution.h\n", " l2 = radial_solution.l\n", " tidal_y = np.copy(radial_solution.result)\n", " return tidal_y, (k2, h2, l2)\n", " \n", "shooting_tidal_y, shooting_loves = \\\n", " shooting_radial(core_static=True, mantle_static=False, incompressible=False)\n", "shooting_tidal_y_incom, shooting_loves_incom = \\\n", " shooting_radial(core_static=True, mantle_static=False, incompressible=True)\n", "shooting_tidal_y_dynamic, shooting_loves_dynamic = \\\n", " shooting_radial(core_static=False, mantle_static=False, incompressible=False)\n", "# shooting_tidal_y_dynamic_incom, shooting_loves_dynamic_incom = \\\n", "# shooting_radial(incompressible=True, core_static=False, non_dimensionalize=True)\n", "propmtx_tidal_y, propmtx_loves = \\\n", " prop_matrix_radial()\n", "\n", "radii = radial_solution.radius_array\n", "ys = [shooting_tidal_y, shooting_tidal_y_incom, shooting_tidal_y_dynamic, propmtx_tidal_y]\n", "rs = [radii, radii, radii, radii]\n", "labels = ['Shooting', 'Shooting-Incom', 'Shooting-Dynamic', 'Prop Mtx']\n", "colors = ['yellow', 'green', 'red', 'blue']\n", "\n", "from TidalPy.utilities.graphics.multilayer import yplot\n", "fig = yplot(ys, rs, labels=labels, colors=colors, show_plot=False)\n", "plt.legend()\n", "plt.subplots_adjust(wspace=.5, hspace=0.4)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Radial Function Performance\n", "Here we will compare the perfomance of prop matrix vs. shooting method. Note this is not a purely apples to apples comparison since we are using wrapping functions and the prop matrix technique is not calculating over the full radial domain. But it will give an order of magnitude estimate" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shooting (Static Core)\n", "1.89 ms ± 277 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n", "\n", "Shooting (Static Core; Incompressible)\n", "1.71 ms ± 80.3 μs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "\n", "Shooting (Dynamic Core)\n", "3.56 ms ± 57.8 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n", "\n", "Propagation Matrix\n", "130 μs ± 3.01 μs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n" ] } ], "source": [ "run_performance = True\n", "\n", "if run_performance:\n", " print('Shooting (Static Core)')\n", " %timeit shooting_radial(core_static=True, mantle_static=False, incompressible=False)\n", " print('\\nShooting (Static Core; Incompressible)')\n", " %timeit shooting_radial(core_static=True, mantle_static=False, incompressible=True)\n", " print('\\nShooting (Dynamic Core)')\n", " %timeit shooting_radial(core_static=False, mantle_static=False, incompressible=False)\n", " print('\\nPropagation Matrix')\n", " %timeit prop_matrix_radial()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 4 }