{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The HFM library - A fast marching solver with adaptive stencils\n", "\n", "## Part : Motion planning\n", "## Chapter : The Dubins-Zermelo problem\n", "\n", "\n", "We consider a vehicle, whose state is characterized by a position $x\\in R^2$, and an orientation $n \\in S^1$. As time progresses, the rate of change of the vehicle orientation is uniformly bounded \n", "$$\n", " \\xi |\\dot n| \\leq 1,\n", "$$\n", "where the constant $\\xi>0$ can be regarded as a radius of curvature.\n", "The vehicle progresses at unit speed in the direction $n$, but it is also subject to a drift $V(x,n)$ depending on its position and orientation\n", "$$\n", " \\dot x = n + V(x,n).\n", "$$\n", "In the case of a boat, this drift can be caused by the water currents and/or the wind. \n", "\n", "\n", "\n", "This model is referred to as the Dubins-Zermelo problem, since it combines:\n", "* A bound on the radius of curvature, from Dubins' car model, which is discussed in [B.I - Curvature penalized planar paths](http://nbviewer.jupyter.org/urls/rawgithub.com/Mirebeau/HFM_Python_Notebooks/master/A4_Curvature.ipynb)\n", "* A drift term, as in Zermelo's problem, which is discussed in [A.III - Rander metrics. Application to Zermelo's navigation problem, and image segmentation](http://nbviewer.jupyter.org/urls/rawgithub.com/Mirebeau/HFM_Python_Notebooks/master/A6_Rander.ipynb)\n", "\n", "\n", "\n", "**Acknowledgement.**\n", "The problem illustrated in this notebook was presented to the authors by [Thomas Mench](https://www.researchgate.net/profile/Thomas_Mensch), in the context of optimal boat navigation for seismic exploration.\n", "\n", "**References**\n", "\n", "The experiments presented in this notebook rely on the followng implementation of Dubins' model:\n", "\n", "* Mirebeau, J.-M. (2017). Fast-marching methods for curvature penalized shortest paths. Journal of Mathematical Imaging and Vision, 1–32. http://doi.org/http://dx.doi.org/10.1007/s10851-017-0778-5\n", "\n", "**Note on computation time.**\n", "Calls within this notebook to the fast marching algorithm may need up to one minute to complete with the CPU eikonal solver, due to the complexity of the model (three dimensional with a rather fine scale). Computation times on the GPU are much faster.\n", "\n", "**Note on the `geodesic_targetTolerance` key.** \n", "The Dubins model imposes a hard constraint on the curvature of the trajectories, and as a result the value function of the corresponding optimal control problem has many discontinuities. This leads to some instabilities in the geodesic backtracking procedure, especially when the curvature constraint is \"stressed\": if there is a very short trajectory which slightly exceeds the imposed curvature bound. The Dubins-Zermelo model presented in this notebook seems to be even more sensitive to this issue. As a result we occasionally need in this notebook to tune the `geodesic_targetTolerance` parameter of the geodesic ODE solver, which decides when a geodesic point is close enough to the seed to stop the extraction." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[**Summary**](Summary.ipynb) of volume Fast Marching Methods, this series of notebooks.\n", "\n", "[**Main summary**](../Summary.ipynb) of the Adaptive Grid Discretizations \n", "\tbook of notebooks, including the other volumes.\n", "\n", "# Table of contents\n", " * [1. Dubins' problem](#1.-Dubins'-problem)\n", " * [2. Adding a constant drift](#2.-Adding-a-constant-drift)\n", " * [2.1 Consistency test : unoriented seeds and tips.](#2.1-Consistency-test-:-unoriented-seeds-and-tips.)\n", " * [3. Non-constant drift](#3.-Non-constant-drift)\n", " * [3.1 Position dependent drift](#3.1-Position-dependent-drift)\n", " * [3.2 Orientation dependent drift](#3.2-Orientation-dependent-drift)\n", "\n", "\n", "\n", "This Python® notebook is intended as documentation and testing for the [HamiltonFastMarching (HFM) library](https://github.com/mirebeau/HamiltonFastMarching), which also has interfaces to the Matlab® and Mathematica® languages. \n", "More information on the HFM library in the manuscript:\n", "* Jean-Marie Mirebeau, Jorg Portegies, \"Hamiltonian Fast Marching: A numerical solver for anisotropic and non-holonomic eikonal PDEs\", 2019 [(link)](https://hal.archives-ouvertes.fr/hal-01778322)\n", "\n", "Copyright Jean-Marie Mirebeau, University Paris-Sud, CNRS, University Paris-Saclay" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 0. Importing the required libraries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:46:58.621011Z", "iopub.status.busy": "2024-02-23T18:46:58.620476Z", "iopub.status.idle": "2024-02-23T18:46:58.628891Z", "shell.execute_reply": "2024-02-23T18:46:58.628211Z" } }, "outputs": [], "source": [ "import sys; sys.path.insert(0,\"..\") # Allow import of agd from parent directory (useless if conda package installed)\n", "#from Miscellaneous import TocTools; print(TocTools.displayTOC('DubinsZermelo','FMM'))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:46:58.633014Z", "iopub.status.busy": "2024-02-23T18:46:58.632663Z", "iopub.status.idle": "2024-02-23T18:46:58.931550Z", "shell.execute_reply": "2024-02-23T18:46:58.931080Z" } }, "outputs": [], "source": [ "from agd import Eikonal\n", "from agd.Plotting import savefig, quiver; #savefig.dirName = 'Figures/DubinsZermelo'\n", "from agd import AutomaticDifferentiation as ad\n", "from agd.Interpolation import UniformGridInterpolation #scipy.interpolate.RegularGridInterpolator is Incompatible with cupy" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:46:58.933076Z", "iopub.status.busy": "2024-02-23T18:46:58.932962Z", "iopub.status.idle": "2024-02-23T18:46:58.938304Z", "shell.execute_reply": "2024-02-23T18:46:58.938076Z" } }, "outputs": [], "source": [ "import numpy as np; xp=np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 0.1 Optional configuration\n", "Uncomment the following line to use the GPU eikonal solver" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:46:58.939594Z", "iopub.status.busy": "2024-02-23T18:46:58.939511Z", "iopub.status.idle": "2024-02-23T18:46:58.940940Z", "shell.execute_reply": "2024-02-23T18:46:58.940718Z" }, "tags": [ "EikonalGPU_config" ] }, "outputs": [], "source": [ "#xp,plt,quiver,Eikonal = map(ad.cupy_friendly,(xp,plt,quiver,Eikonal))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:46:58.942162Z", "iopub.status.busy": "2024-02-23T18:46:58.942080Z", "iopub.status.idle": "2024-02-23T18:46:58.943752Z", "shell.execute_reply": "2024-02-23T18:46:58.943536Z" } }, "outputs": [], "source": [ "large_instances = False" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Dubins' problem\n", "\n", "As a starter, we solve the standard Dubins's shortest path problem, without drift.\n", "The radius of curvature of the vehicle trajectories is bounded by a constant $\\xi$, fixed below." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:46:58.944997Z", "iopub.status.busy": "2024-02-23T18:46:58.944897Z", "iopub.status.idle": "2024-02-23T18:46:58.946439Z", "shell.execute_reply": "2024-02-23T18:46:58.946245Z" } }, "outputs": [], "source": [ "xi = 0.3" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:46:58.947580Z", "iopub.status.busy": "2024-02-23T18:46:58.947505Z", "iopub.status.idle": "2024-02-23T18:46:58.950202Z", "shell.execute_reply": "2024-02-23T18:46:58.949932Z" } }, "outputs": [], "source": [ "hfmIn = Eikonal.dictIn({\n", " 'model':'DubinsExt2', # Dubins model, extended (customizable) variant \n", " 'exportValues':1,\n", " 'xi':xi, # Bound on the radius of curvature\n", " 'speed':1., \n", " \n", " 'seed':(0,0,0), # Central seed, with horizontal tangent\n", " 'tips':[(np.cos(t),np.sin(t),0) for t in np.linspace(0,2*np.pi,20)], # Tips on circle, with horizontal tangents \n", "})\n", "hfmIn.SetRect(sides=[[-1.5,1.5],[-1.5,1.5]],dimx = 301 if large_instances else 151) # Physical domain\n", "hfmIn.nTheta = 160 if large_instances else 96 # Angular resolution\n", "#hfmIn['stopWhenAllAccepted'] = hfmIn['tips'] # Save a little bit of CPU time with early abort\n", "if large_instances: hfmIn['geodesic_targetTolerance']=17" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:46:58.951434Z", "iopub.status.busy": "2024-02-23T18:46:58.951354Z", "iopub.status.idle": "2024-02-23T18:47:06.543657Z", "shell.execute_reply": "2024-02-23T18:47:06.543326Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field eps defaults to 0.1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 5.09606 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 10.985\n" ] } ], "source": [ "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:06.545227Z", "iopub.status.busy": "2024-02-23T18:47:06.545110Z", "iopub.status.idle": "2024-02-23T18:47:06.620228Z", "shell.execute_reply": "2024-02-23T18:47:06.619999Z" } }, "outputs": [ { "data": { "image/png": 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VtXbbqOzOjMY04uIOIylxNomJR6PXx/VZXUIIIcRgdiB5TcKq6HN+fwdNTR/T1Pwx7e2LUNVAz9cslmEkJx9PQvx07PaJaLWWCFYapqpBurtL6XSswuFYjcOxGqdzMztPSdBgt08kJeXnpKXOw2BIilS5QgghxIAjYVXCalTocm6ituZ5Gre+Ryjk6bneZhtFSvLPSE75GTbr8AhWuP+CQRcOxxpaW7+mtXUhzu6Snq8pio7ExFlkZV5AQsJRslhLCCGE2AcJqxJWI0ZVVVpbF1JV9TgdnUt7rrdZR5KaejIpKXOxWPIjWGHv8HjqaW75nMbGt3E4Vvdcb7UOJzt7Pmmpp6DVmiJYoRBCCBG9JKxKWI2ItvZFlJf9g07HSgAURUty8lyysy7Gbp88aEccnd1bqK/7L/UNrxMMdgOg1yeQkz2frKyL0emsEa5QCCGEiC4SViWs9qvOzlWUlf+D9vbvgXArqKysX5CdfcmQWkEfCHRRV/8qtTXP4/HWA6DXJ5KXdzWZGeej1RojXKEQQggRHSSsSljtFy5XJVtK76Gl5TMgvJo/M/Nc8nJ/hdGYEuHqIicUCrC16QMqKh7E7a4Gwp0E8vOvJT3t9L222xJCCCGGAgmrElb7VCjkpbLyUSqrHkdVfYCG9PTTyc/7DWZzVqTLixqhkJ+GhjeoqPw3Xm8jAGZzHsOH30ZS4jGDdlqEEEIIsS8Hktf6dMP0r7/+mnnz5pGRkYGiKLzzzjv7vM9XX33F5MmTMZlMFBQU8Nhjj/VlieIAdTpWs3jJPCoq/4Wq+khIOIrDp33E6KJ7Jaj+hEajJzPzPKYf/gXDh92OXp+A213JmjW/ZNWqS7a1wxJCCCHE3vRpWO3u7mb8+PH8+9//3q/bV1RUcMIJJ3DUUUexcuVKbrvtNq699lrefPPNvixT7IdQKEB5xb9YvvwsXK4yDIYkxo79FxPGP4vVOizS5UU1rdZITs6lHDH9S3Jzr0JRDLS1f8uSpSdRUnIHfv9u9oAVQgghBNCP0wAUReHtt9/m1FNP3eNtbrnlFt577z02btzYc91VV13F6tWrWbRo0X49jkwD6H0uVxXrN9yEY9sq/5SUExk18i7ZwekguVxVlJb9lebmTwHQ6ewU5F9HZub5Mp9VCCHEkBA10wAO1KJFi5gzZ85O182dO5dly5bh9/v3cC/RV1RVpb7+DZYsPQmHYyVarY0xo//J2DEPSlA9BBZLLsXjHmXihBexWUcSCHSyectdLFk6j9bWbyJdnhBCCBFVdJEuYEeNjY2kpqbudF1qaiqBQICWlhbS09N3uY/X68Xr9fZ87nA4+rzOoSAY9FKy+U80NLwOQFzcYYwu+jtmc2aEKxs8EhKOYOrU96ivf5Xyivvp7t7CqtWXkJR4DMOH3zYoNk8QfSfg9+PtduLpdhL0+8OXgJ+gP4AaCu72PqaYWNIKB8aucUIIsV1UhVVglxXS22cp7Gnl9D333MOdd97Z53UNJR5PPWvW/oqurrWAhsKCG8jNvRJF0Ua6tEFHo9GRlXUBqaknUVH5L2prX6Sl9Qta274hO+si8vKuQa+X6SxDUSgYxNHcREdjPe1bG+hobKCjsZ6OxgYcLc0EfN59H+Qn8sZP4ozb7uqDaoUQou9EVVhNS0ujsbFxp+uamprQ6XQkJibu9j6///3vufHGG3s+dzgcZGdn92mdg5nDsYZVqy/D729Dp4tj7NgHSUw4MtJlDXp6vZ0Rw/9AZsZ5bCm9m9bWr6iueZr6hjfJz/s1WVkXoNHIpgKDjaqquLsctNXW0FpXQ1tdDW0NdXQ01uNobiIU3P0IaQ9FwWi2oDMa0er0aPV6tDodGs3u31jaU3c9OyWEENEuqsLq9OnTef/993e67tNPP2XKlCno9btfeGI0GjEa5UW8N7S3L2b1misIBrux2UZTPO5RaUfVz6zWQiaMf4aWli/ZUvpXXK5StpTeTU3t8xQW3Ehq6jwUJaqmmosDoKoqHY31VK5ZSdWaldSVbMTTteepSzq9AXtqGnFpGcSlpROflk5cagb2lFRMMTEYzRYUjfw8CCEGtz4Nq06nk9LS0p7PKyoqWLVqFQkJCeTk5PD73/+euro6XnjhBSC88v/f//43N954I1dccQWLFi3i6aef5pVXXunLMgXQ0vIla9f9mlDIS3zc4RQXP45OZ4t0WUNWUtJsEhKOoqHxTSrKH8TjqWX9hhupqn6SYYU3k5BwtGwqMECooRB1JRsoWfQt5SuW4mjeuvMNFAV7cgoJmdkkZGSRkJlFfHomcWnp2OISJIwKIYa8Pm1dtXDhQmbPnr3L9RdffDHPPfccl1xyCZWVlSxcuLDna1999RU33HAD69evJyMjg1tuuYWrrrpqvx9TWlcduK1bP2D9hptQ1QBJSccydsy/ZB/7KBIMuqmpeZbKqscJBp0AxMcdzrBhtxAbWxzh6sSeeLqdLHn3DTZ+/QXO9rae6zVaHZmjRpNbPJHcseNJzM5BbzRFsFIhhOh/st2qhNX9Vl//Ghs33QaopKbOY3TRfdLrM0r5/e1UVj5KTe2L27a5hZTkn1NYeJN0DogSnm4n1WtXUbFqOaVLf8Dj7ALAaLEybOrhDJ92BDljxqM3STgVQgxtElYlrO6X6ppn2bLlzwBkZpzHyJF3yor/AcDtrqOi4gEaGt8GVBRFS0bGOeTn/QajMSXS5Q1JXW0tfP/ay2z4+vOdFkUlZGZz5Lm/IH/iVHR7mHcvIkMNqbidflwOL92dPjxOP0F/iIA/SMAfCv/bF/4YCoYIhlRCQZWpJ+QRm2SOdPlCDHgSViWs7lN9/Rts3HQLADk5VzCs8BaZAznAOJ0llJX9nZbWLwDQaMzkZM8nN/eX6HQxEa5uaPC6uln63pss//DdnlZSCRlZ5E+cTN74yWSPKUari6p1rENGwB/E1emju9NHd4eX7k4vrk4vznYvrfXdtDd0Ewoe+MvfmbdMITVfXluEOFQSViWs7lVr6zesXnM5qhogN+dKCgtvlqA6gLW3L6G07G892+Hq9fHk5f5K2l31oWAgwOoFH/HDm6/g3raaP2PkaGZeOJ+MEUURrm5o6u70Ur+lg4YtHdRt6aCtvnu/7meO0WOxGzHb9OgMWnR6DVq9Bp1eg06vRatX0Gg1aLQKGq3CyGnp2OLl90qIQyVhVcLqHnV1bWT5inMJBp2kpp7MmNH/kFZIg4CqqrS0LKC07O+4XGUAmEyZFORfT1raKTK9o5eoqkr5iiV89eIztDfUARCfkcVR51/MsCmHy5u+fuRocVO+qpmmSgdN1V10Nrl3uY1Wp8EaZ8BqN2KxG7HaDVjsBuJTrSRl27DGGdHq5O+fEJEgYVXC6m55fS0sXXoKXm8jcXHTmDjhWRl5G2RCoUBPuyuvL9wiyWYdSWHhb0lMnC1h6hA0V1Ww8IWnqF63GgBzrJ0jzrqA4mPnotHKm4H+4Gz3ULaimS3LtrK14if9aRVIzLSROTyOjOFxpBXascQa5GdeiCglYVXC6i5CIT8rV11ER8cSLJZCpkx+Q7bxHMSCQTc1tS9QVfUYgUD4Rd1un8KwYb8jzj45wtUNLGooxLIP3+HbV54nFAyi1emYdOKpTDv1LIwWa6TLG9SC/hA1m9qoXNNCbUn7TqOnigIZI+LJLoonKSuG1PxYTFZZxCbEQCFhVcLqLrZs+QvVNU+j1dqYOuUtrNbCSJck+oHf30lV1WPU1D5PKBReAJSUdByFBTdhs42IcHXRz+Xo5OOH/0nFquUADJs6nVkXXYY9JS3ClQ1uXneAVQuqWf1FDX7PDlvOKpBeYGfYlFQKJyVjtcuZISEGKgmrElZ3snXrB6xbfx0A48Y9Qkry3AhXJPqbx9NARcVD1De8AYQADelpp1FQcD0mU0aky4tKNRvW8r+H7sPZ3oZOb2D2/F8y7pi5clq5D22tdLDikyqq1rYSDIQAsNgNFIxPJmdsIhnD7BgtMnoqxGAgYVXCag+3u4bFS04kGOwmN/cqhhXeHOmSRAR1d5dRVv4Pmps/AUCjMZCV+Qvy8q5Gr4+PcHXRIRQKsvjt11j0+iuoaoiEjCxOuuFWknPyIl3aoOX3Bln5aRXLPqpCDYVfkhIyrEybV0D++CQUjbxBEGKwkbAqYRUAVQ2yfMX5dHYuI84+lUmTXpJV4QKAzs5VlJb9jY6OxQBotTZyc39JTvZ8tFpLhKuLHGd7Gx/9++9Ur1sDwJiZx3HspVfJjlN9JBgMsebzWlYuqMLd5Qdg2JQUJv8sl8RMm4xiCzGISViVsApAVdXjlJb9Da3WyrTDPsRszo50SSKKqKpKW9s3lJbdh9O5AQCDIZnCwt+Snnb6kGtpVrl6Bf/79z9wOzrRG00ce9nVjJl5bKTLGrS62jx8+tR6Gss7AYhNMnH4KYUMn5oa4cqEEP1BwqqEVbqcm1i69DRU1UfRqL+SkXFWpEsSUUpVQ2zd+gFl5f/E46kBIDZ2IsOH3Upc3JQIV9f3QsEg3732H5a88zoAyTl5nHj9LSRmypu7vlK5toXPntuAtzuAwaxjxpnDGHV4Ghrt0HqDJMRQJmF1iIfVUCjA0mWn4XRuICnpWIrHPS6n08Q+hUI+amqeo6LyXwSDLgCSk46nsPDmQds9IuDz8d4//0LFymUAjD/+BGZedBl6g6wy7wvBYIgl75Wz4pNqAFJyY5hz+VjsyeYIVyaE6G8Hktdk0+pBqLbuRZzODeh0dkaN+osEVbFfNBoDubm/JC3tFMorHqS+/nWaWxbQ0voFGRnnkJ93LUZjcq8/bsgbJOjwonqCqP4gIX8I1RdE9YVQ/eELP3lPbSyMw5BpO6THVVWVL557nIqVy9AZjPzsV9czcvpRh3RMsWfOdi+fPrWOhrLwaf9xs7OYcfowtHoZTRVC7J2E1UHG422kvPx+AIYV/g6jISnCFYmBxmhMpWjUX8jOnk9Z2d9pafmMurqXaWx8h5zsy8nJuQydbv+DohpSCbR58Dc4CbR6CHZ4ey6BTi+qO3DANcbNKzjksLr0vTdZ+/knoCicfNNt5E+QzRL6irPdy9v/WI6jxYPBpOWYi4oonJQS6bKEEAOEhNVBpqz0bwSD3dhjJ5KRcXakyxEDmM06nPHFj9PesZTS0r/icKyiovIhauteoqDgejIzztmlu0TIG8Tf4MTf0P3jpbE7PDq6F4pRi8asQzFoUPRaFL0GxbDto16zy9kBXcqhdSxY8/nHfPPycwDMvGC+BNU+1N7YzYcPr8HR4iE2ycTJ103Anjx0O04IIQ6czFkdRDo7V7Js+ZmAwtQpbxMbOy7SJYlBQlVVmpo/pqzsPtzuKgBibGMoyLwZS1sRvspOvFUO/PXO8J4DP6XToE+zoE+2oI0z9lx0cUa0diMaU/+9b968+Ds+uP9eVDXEYaecyVHnX9Jvjz3UVK1r5dOn1+NzB4hJMHHqTROJTZT5qUIImbM6JKmqyuYtdwOQnn6GBFXRqxRFITXl5yQnHUdN6QtU1D5El3M9q0suwdIyluQtZ2HqygVAazegT7ehT7eGL2lWdEnmqGjsXrVmFf976D5UNcS4Y+dy5HkXR7qkQWvLsq0seHo9qgrphXZ+duU4LLGGSJclhBiAJKwOEq2tC3E4VqLRmCgsuCnS5YhBJtDixr2hFffaFrQ1I8gz/IXWgnfpyFqIK2kdVUnrSDQcT+GwG4lJGxHpcnerrmQj7/79zwQDAYZPO4LjLv+VLD7sI7Wb2vjsmQ2oKow6PI1ZF45Cq5OFVEKIgyNhdRBQVZWKyn8BkJV1IUajLFwQvcNb5aBrYQ2ejW0/XqmANSubpFF3wrBuKrf+m61b36fVt4C2jV+S0Xk2+XnXYDRGT3P32o3reOuvd+L3esgZN4ETfnMzGo3s5tYX2hq6+fiJdYRCKsMmpzD7oiI0UTCqLoQYuCSsDgLtHT/gcKxGozGSm3NFpMsRA5yqqng2t9O1sAZfhSN8pRJuF2UenYh5XBLamB9P545NeoDcnF9SVv53Wlu/oq7uZRoa3iI7+xJyc65Er4/s3PGmynLevOdPBLxecsaO59Sb/4BOr49oTYNVR5OL9x5YidcVIK3AzrGXSFAVQhw6CauDQFXV4wCkp5+FQVpViYOkBlXca5vpWliLv7E7fKVWwTIxhZijs9DvZQV+TMxoJox/hvb2xZSV3UenYyVVVY9RX/86wwpvJj399F06B/QHVVX58vknfgyqt/xRGv73ka42D+/ev5LuTh8JGVZO+NU4dHoZvRZCHDoJqwNcl3MTbW3foChacnMuj3Q5YgBSgyG6l22l66tagm0eABSDBuu0dGxHZqKz73+4i4+fxuTJr9PS8jmlZfficpWzcdOtVFU/RWHBDSQnz+3XeaIVK5dRu2EdWr2euVdfJ0G1j/jcAT7492qc7V7i0yyccv1EzDZZTCWE6B0SVge4hvpt+5knzcFslr3Mxf5TVRX32hYcn1QSaA2HVI1Vh+2ITGzT09FYDu5UuaIoJCcfR2Li0dTUPk9l5WO4XKWsXfdrYmLGMazwZhISZvTmU9mtUDDI1y89C8Ckn59MbJLM5e4Lakjls+c20FbfjcVuYN61E2TVvxCiV0lYHcBCIR+NW98Dwu2qhNhfvnon7W+X4q/pAkBj1RMzOxvrYWloDL1z6lajMZCbcwWZGedSVf0UNTXP0NW1lpWrLiI+fjqFBb/Fbp/QK4+1O+sWfkZrbTUmWwyHnXpWnz3OULfso0oqVreg0SmccFUxMQmmSJckhBhkJKwOYK2tX+H3t2EwJJOQIHuai30L+YI4Pq/G+U0thEAxaIk5OhPbUZlojH3z50Cni6Gw4Aays35BZdVj1Na+RHv7IpYtP4PkpOMpKLgRm613210521r5Ztuo6rTTzsZkPbStWcXulS5vYsn7FQDMPG8kqflDayMWIUT/kLA6gDU0vgVAWurJaDTyXyn2zlPWQfubW3rmpZrHJRE3rxBtP52yNRiSGDH8D2Rnzaei8iEaGt6iuWUBzS2fk5V1IQX516LXxx/y46iqyiePP4Sn20lKfiETfzavF6oXP9XZ7OKLFzcCMP64bEbPyIhwRUKIwUq6NA9QgYCTlpYvAUhLPz3C1YhoFvIFaX+3lJYn1xJs86C1G0i8aDSJFxT1W1Ddkdmcyeiiezl82kckJ88FQtTWvsB338+iouLfBALdh3T8NZ99TOWq5Wj1ek645ia0Onkj19tUVeWrl0vwe4KkD7NzxGmFkS5JCDGIyV/xAaqzczmq6sdkyiLGNirS5Ygo5a120PZqCcFtC6is09Kwn5DfZ6f8D4TVOozicY/Q1vYdW0rvwencSHnF/dTUvkB+3q/JzDwXjebAVu+3N9az8MWnADjqvItJzMrpi9KHvC3LtlKzsR2tTsMxFxWh0cq4hxCi78hfmAGqvWMJAPFxh0W4EhGNVFWl65s6mh9bQ7A1PJqadNlY4k8bHhVBdUcJCTM4bOp7jBl9P2ZzDn5/K5u33MWiH+aytel/qKq638da+PyTBLxeskePY9LPT+7DqoeujiYXX728GYApJ+QSt5f+u0II0Rui61VL7LeO9sUAxMVNi3AlItqEfEHaXyvBva4VCM9NjT9jOBpT9P66K4qGtLSTSUn5OfUNr1NR8S88nhrWrfsNdvtkhg27hTj75L0eo7ujnYqVywE47opfo2jkvXhvU1WVL17YiM8dIL3QzsQ5uZEuSQgxBMhf8wEoGHTh6FoLhJuwC7FdsNtPy1Nrw0FVqxB3SiEJ54+K6qC6I41GT1bm+Rwx/XPy869DozHT2bmc5cvPZs3aq3G5KvZ433VfLkBVQ6QPG0lCRlY/Vj10lK9qpqG0E51Bw3GXjkark5cQIUTfGxivYGInHZ0rUNUARmM6JpO8KIuwQKublmfXE2hxo5h1JF08GmOePdJlHRSt1kJB/rVkZJxNRfmD1De8QXPzp7S0fEFGxrnk5V2NyZjWc/uA38+qTz4AYMLcEyNV9qAWCqksfrccgPHHZhObaI5wRSLSVL+foNNJyOlE9QcAFUIhUFX0OTlojLJjnOgdElYHoI6e+arT+nXrShG9fLVdtDy3npDTjzbOSNKlY9EPgrmEJmMaRUX3kJ1zKaWl99La+iV1df+hoeENcrIvJTf3l+h0Maz9/GOc7W3YEhIZeYT0HO4LJT800t7owmjVyen/QU4NBgk0N+OvrcVfV4evthZ/bR3+ujoCzc0EnV2EupyoHs8ej5H/7ruYRvZu/2QxdElYHYAcjjUA2OP2PodPDA2eze20/mcDqi+EPt1K0vwxaGMH14iGzTqcCeOfor39B8rK/0ln53Iqqx6hrv6/5OX9mlWffg/AYaeehVZ3cNvEij0L+IIseT88qjppbi5Gs7x0DBah7m48mzfj2bgR78ZN4Y9btqB6vft9DMViQdHpwoMn2y6KdIgQvUj+4gwwqqricITnq8bGjI1wNSLS3JvaaH1xAwRVjMPiSLywaMDMTz0Y8fGHM3nSqzS3fEpZ2d9xucrZsuX/kXqUHlZmUHTkrEiXOCiVrWzG2e7FFm+keJZMPRqo1EAA75YtuFaswL1yFZ516/BVVcHuOm7odOjT09FnZqLPysSQlYU+MxNdSira2Bg0MTFobTY0NhuK9DIWfUx+wgYYj6eOQKADRdFjs42MdDkigjyl4RFVgirmcUkknDMSZQgseFEUhZTkuSQlHkt9w2tsWncPRruLnFlVrNlwIcOG3UJC/PRIlzmoVK5pAWD4lFR0Bm2EqxEHItjZifObb3F++SXOb74h5HDschtdcjLG0UWYRhVhKirCNGok+qwsCaEiashP4gCzvQuAzTbigBumi8HDv7Wb1hc3QkDFNDqRhHNHDrnTbhqNjuT4U3j7lVeJL2ok87BuurrWsnLlhSQmzqSw8HeyYUYvcLS4KVvZDMCIaakRrkbsj0BLC44PP6Tr8y9wLV8OwWDP1zQ2G+bx4zFPmoi5eDymolHokpIiWK0Q+yZhdYDp6loHQEzMuAhXIiIl5PLT8sIGVG8QQ76dxPNHDbmgul3V2lX43EF8DRM44oi7qaz6N3V1r9Da+hWtrV+TnnYaBQU3YDLJvvUHa/XnNaghleyieJKyYiJdjtgDNRSi+7vvaH/5FZxff71TQDUMKyRm9mxss2djHj8eRSuj42JgkbA6wHQ5wmFV5qsOTWpQpfXlTeFdqeKNJF4wakic+t+TylXhTQDyJ07BaExi5Ig7yM66hLLyf9DU9D8aGt9ia9MHZGVdTF7u1ej1A7OVV6QE/EE2fN8AwMTjpQNANFJ9Pjreepu2Z58Nzz/dxjS+GPsJJ2A75hgM2dkRrFCIQydhdYBxucIrcq02aQkyFHV+VIG3tAPFoCHxojFobYZIlxRRtRvXA5BbPKHnOoslj3Fj/0Wn43JKS++lo2Mx1dVPUl//Gnl5V5OVeRFarUyh2R9NlQ4C3iCWWANZRfGRLkfsQPX76Xz3XVoeeRR/fT0QPsVvP/004s85B2NhYYQrFKL3SFgdQIJBLx5veJTDYs6LbDGi33WvbML5bR0A8WeNxJBujXBFkRUKBulsagQgKTtvl6/bY8czaeJLtLYupLTsXrq7t1Ba+ldqa16goOAG0tJOQVHkdOje1G/pACBjeJz0dI4SaiBA5/sf0PLII/hragDQJiWRdMXl2M84E61taP9dEIOThNUBxO2pBlS0Wht6fUKkyxH9yFfnpP3NLQDEHJONZZwsiOhqbSYUDKLV64lJSNztbRRFISlpNomJR9PQ8DblFffj8dazYePNVNc8zbDC35GQcLQEsT1oKO0EIH2YTJ+IBl1ffknTX+/tOd2vTUgg8YoriD/3HDRm2VFMDF4SVgcQtyv8B8piyZUX1yEk5A3Q+vJGCIQwjUog9jiZOwjgaG4CIDYpGUWz93m7iqIlI+NMUlNPoqb2eaqqHsXp3MSq1ZcSH38Ewwp/R2ysLFrcUSik0lC+LawWxkW2mCHO39TE1r/cQ9fHHwOgjYsj8fLLiD//fDSWgb9TnRD7ImF1AHG5KwEwyxSAIaXjvfLwgqo4Y7iXqkbeqAB0tbUCEJO4/6PMWq2JvNwrycw4m8rKR6mpfZH29u9ZuuxUUlPnUVhwE2azLEYB6Gxy4fcE0Rk0JGbKqeVIUEMhOl5/g6a//51QVxdotSRccjFJV/9KTveLIUXC6gDidm8bWTXLyNpQ4VrTjGv5VlAg4eyRaGSbyx4+txsAo8V2wPfV6+MZPvw2srIuorz8nzRufZetW9+nqeljsjIvIC/v1xgMQ3uqjbMtvN1mbJIZzRBtjRZJvtpa6m+5FffycMcL09ixpP+/uzAVFUW4MiH6n/wFGkB+nAaQF9lCRL8Iufx0vFsKQMysbIwFMm9wR6GAHwDNIeyyYzZnMWbMPzls6nskJByFqvqpqX2O7xfNprLyEYJBd2+VO+B0tXsAsMWbIlzJ0OP49FMqTjsd9/LlKBYLqbf9nrxX/ytBVQxZElYHENe2kVWzjKwOCY7Pqgl1B9ClmIk9LifS5UQdT7cTAEMvLCyJiRnDxAnPMWHC88TYxhAMOikr/weLFh1LXf2rhEKBQ36MgcbZti2sJkibr/4S8vlo/H9/pu7a6wh1dWGeMIGC994j4aKLpJG/GNIkrA4gPl94f26jMS3ClYi+5t/ajfOHcO/EuHmFQ3aHqr3pag3/PhzInNV9SUw4kqlT32HM6H9iMmXh9W1l06bbWLL0JJqbP0NV1V57rGjX1R6eBhAjI6v9wlddTdW559H+0ksAJF5+GbkvvoAhKzPClQkRefIKOEAEg25CofBIh14vzbkHM1VV6Xi/HEJgGp2Iabj8f+/O9rAam5TSq8dVFA1paacw/fBPGT7sdnS6OLq7t7Bm7ZWsWHEenZ0re/XxotX2kdUYGVntc86vvqLijDPxbNiANi6O7McfI+W3v0XR6yNdmhBRQcLqAOH3twOg0RjQaqVVyWDm3dyOt7QDdApxJ+ZHupyo1dXSDPTuyOqONBojOTmXcsT0L8nNvQqNxkhH51KWLT+TNWt/jctV0SePGy2c20ZWZc5q31FVlZbHn6DmqqvDp/0nTiT/nbexzZwZ6dKEiCoSVgcIn78NAL0+QXqsDmKqquL4vBoA2+EZ6BKl0feedHeE38BZ4/t21b5eH8uwwpuZfvjnpKefBWhobv6YHxbPZVPJH/Fum54zmKiqSlfPnFUJq31BDQRouO12mu+/H1SVuHPOIff559CnyTQvIX5K+uAMEIFAFwBa7YG36elv/pCKMxikOxjCGQziDanoFQW9omDQKBg1GowaBbtOi0aC9068WzrwVXeBTkPMzKxIlxO1QsEgXlc3AOaY2H55TJMpndFFfyUnez5lZX+npfUL6upeorHxbXKyLycn5zJ0uuj//dwfHqefoD8ECtjiZBpAbwv5fNTfdBNdCz4DrZa0//s/4s89J9JlCRG1JKwOFGoIAE2U7GXe5g+wwelmU7eHSreXarePKo+PGo8PVzC0X8cwKAoZJj0ZRgOZJj2Z2z7u+HmMLjqeb3/YaVR1WhraGEOEK4peAb+v5996Q/+GKZttJOPHP0l7+2JKy+7F4VhNReVD1Na9REH+tWRknINGM7DnGm6fAmCJNaDVywm43hTq7qb2N7+h+/tFKHo9mQ/cT8yxx0a6LCGimoTVAULdFlaJQFj1hkKscrhY2tnNUkc3a7rcNHj9+7yfUaNg1WowaTT4VRVfaNtFDRFUwaeqVLp9VLp9ezxGrE5DtsnAMIuJ4RYTw61GRlhMFFiMGPexxeZA4y3twFflAJ0io6r7oNH++KcrGAwQiWgYHz+NKZPfpKn5I8rK/o7bXUXJ5j9RXfMshYW/JSX5ZwN2yk7PFACZr9qrgp2d1PzyStyrV6NYLGQ//G+s06dHuiwhop6E1QGjf1vmVLi8fN7m4ItWB4s6nLhDuz5+rslAkc1EocVEjslArtlAjslIgl6LVatFv5dtQX2hEI1eP/VeP3UeH/VeP7XbPtZ7fdR5/HQEgjgCIdY7Pax3ena6vwYosBgZazMzLsZCsc3MaJuZRMPA/JHeaVT1sHS0sXLqdW+0O/ScDAWDEatDURRSU04gOel46utfpbziQdzuStatu4bY2AkMK7yF+PjDIlbfwXL2tK2Sn8PeEmhvp/qS+XhLStDY7eQ88Tjm8eMjXZYQA8LAfGUfgjTa8EKb7e2r+kK9x8e7TR283dTOmq6dd+5JNug4zG5laqyVSbEWRtvM2A7hFL1BoyHHbCTHvOcXw+5AkDqvn0q3ly0uL1u6PWxxhS+OQIhSl5dSl5d3mjp67pNq0DE+xsL4GAsTYi1MiLEMiADrq3Lgq3SAVkZV94ei0aBoNKihEKFA5Bv2azR6srIuJC3tVKqrn6K65mkcjlWsWHkeSYnHUFh4MzbbiEiXud98nvD3VC/b+/aKkMtFzVVX4S0pQZucRM7TT2MaMXB+HoSINPlLNEBot4XVYNDVq8dt9QX4oLmDt7e2s7izu2f8VqvAdLuN2YmxHJMQwyirqd9PaVp1WkbotIywmpizw/WqqtLkC7De6Wad083qLhdru9xUe3xs9QX4tNXBp62OntvnmgxMjLUwKdbCxFgrY21mzFHSZF9VVTweD43fl9GpODCMiCfUuRW1QyUUCqGq4Y8Gg4GcHNnFakdarY5AyEcwCsLqdjqdjYKC68nMvICKyoeor3+VltYvaGldSEb6meQXXIdpAGzqYYkNz5fu7vBGuJKBTw0EqLvhRjyr16Cx28l97jmMhYWRLkuIAUXC6gCh01oBCAa7D/lYqqryQ2c3T9Y082lrJ4EdzvBPs1s5NTWeeclxJEXpiKSiKKQa9aQa9RyT+ONK8O5AkPVON6u73KzqcrHK4aLM7aXKE178tX0EVgMUWoyMtpkZbTVTZDMxxmYmw6jv1UCuqiodHR20t7fT0dGx08XlcuFyuXC73T/uimQEKrZdfiItLY2rrrqq12obDMyxdrpam+nuaMOekhrpcnZiNCYzauT/IztrPmXlf6e5+RPqG16jcet7ZGfPJy/3SnS6mEiXuUdWe/iMh8e577npYs9UVaXxzjtxfvUVitFI9qOPSlAV4iBEZxoRu9i+EUAg0I2qhlCUAx8Z9IZCvLO1gydrm1nn/PE0/zibmVNT4zklJY4s08BdgW7VaTkszsZhcT+2D+r0B1jd5WaFo5tVXS5WOFw0+QLhaQUuL+/S0XNbu07LaJuJsTYzY2xmxtrMDLea9mshVygUorW1lYaGhp0uXu/+jUzpVA0GRY/ebkKj0aDRaFAUpedjUlLfNL4fyGzxCXS1NuPq7Ix0KXtktRZQPO4ROjtXsKX0Xjo7l1FV9Sj19f8lL+/XZGWej0YTffNCtbrwm7bt0wHEwWl/5RU6Xn8DNBoy7/8nlkkTI12SEAOShNUBQq9PIDwmGMLna8VoTN7v+3YFgjxR08yzdS20+MMvPmaNwllpCVyalcQo6+BtPG/X6zg6IYajE8KjWKqqstUXYKPTzXqnm43dHjY43WxxeegMBFnU0c2ijh9Hr3UKDLeYGGE1McxipMgaXsiVoVOoq6mhoqKCqqoqGhsb8ft3HYXSarXExcX1XOLj47Hb7dhsNsxmMxaLBdcblQQ2dxIzOxv73Lz++tYMeMq2NxFqaP9apUWS3T6JyZP+S0vL55SW3YfLVcqWLX+mpuZ5CgtuJDX1pIN6A9pXEjLCb/g6m934fUH0hqHTQq63uFasZOtf7gEg5be/JeaYYyJckRADl4TVAUKj0WM0puD1NuL1NuxXWA2qKq80tPHX8oaekJph1DM/M4kLMxKJ1w+9/35FUUgz6kkz6pm9wxQCbyi8YGtdVzjErnW62OAMB9iN3R42du+8sE0XDJDY7SCpy0GiX0OiyUaKxk1OSjLp6ek9l+Tk5J1Wrv9U0OnDURoeGbRM7N097gc7iz0OAGdHW2QL2U+KopCcfByJibNoaHyT8vIH8HhqWL/hBqqqHiMv/zekJM+NitBqjtGjM2oJeIN0t3uJS5Utng+Ev6mJ2uuuhUCA2BN+TsL8SyJdkhAD2tBLKwOYyZiO19uIx1NPbGzxXm/7bXsXf9xSx4ZtISvfbOB3+emclBy315ZSQ5VRo2HMttP/26mqyrqGrSwoKWXF1mZqQhrarLG0WWMJaHVsjU1ga+zOW33mbGvnVWyzME5npsgfJGvbqfzdca9pgRDos2zoUyQQHIjYpPAbtq6W5ghXcmA0Gh2ZGeeQljqPmprnqKx6HGd3CevWXUNMzBiGFd5CQsKMiNaoKAq2OCMdW110d0hYPRBqIEDdjTcSbG7BOHw46X/+84DttytEtJCwOoAYTengWInH27DH29R5fNxZVs972xYT2XVabsxLZX5mEoZB1kS/r4RCIUpKSli8eDGVlZUADANGaDQUFhZSkGZFm5lBnc7IGqebjU4P67vdNPsCVHt8VHt8fNLyYzcCm1bDCKuJUdsuI61mRllNpBh0eErCo4KW4v2f1iHCYraFVUdzU4QrOTharYW8vF+RmXkBNTXPUl3zLF1d61m56iLi4w4nv+B64uOmRqw+a5yBjq0unNIR4IC0PPY47mXL0VitZP3rITQWCfpCHCoJqwOI2RTuv+l2Ve3ytZCq8mRtM38tb8QdCqEBfpGRyO/y0wdEn9Fo4PV6Wb58OUuWLKGjowMIjzAVFhYyduxYRo4cidm88/ze03b4d4svQEm3mw1OT7idltNNmcuDMxhihSO8uGtHyXodI20eRhcamJ6uZ7zHR3ovdyQYzOzJ4Q4Anc1bI1zJodHr7RQUXE9W1i+oqHyYurqXae/4gfYV55IQP4P8guuIs0/u97q27161fTcrsW+u5ctpeeQRANLuuANDXl5kCxJikJAUM4DYbKMA6HJu3On6areX6zZV9ywMOsxu5S/DMxkbI+/o94ff72fp0qV8++23uFzhQGk2m5k8eTJTp07Fbrfv13GSDDqSDDHMiP+xJZEvFKLc7aWk28Mmp4fNrvDHCreXZn+A5iQd3ybpeKK2AWobSNTrGGMzMXqHjgTDLCaZurEb9tRwv9KOrY0RrqR3GAyJjBzxR3KyL6Oy6hEaGt6grf072pZ/R1LSsYwY/gfM5v7rtWtPDr8xczS793FLARB0dlN3880QCmE/5WTs806KdElCDBoSVgcQm60IAKdzE6oaAhReaWjj/0rr6A6GsGg13FGYwS8yEmV0bj8EAgFWrFjB119/jdPpBCAhIYEZM2ZQXFyMXn/oO84bNBpGWc2Mspo5ZYf1U+5giMWflbOsrIXNeVZKkvSUujy0+gN83e7k63bnj8dQFEZYTYze1g92zLatZROG4AK5HcWlpYOi4Oly4Ors6FlwNdCZzZkUjbqbvNyrqax8mIbGt2hp+Zy2tm/IyDiPvNwrMRr7vq9sbFI4rHZKWN0vLQ8/TKC+AX1mJqn/98dIlyPEoDK0X+0GGIulAI3GQDDopLGrilur1J65kdPsVh4syiFvL9uXijBVVdm4cSOffvppz+l+u93OzJkzGT9+/F5X7/cWs1ZDUamTYTV+4qelYJ2cijsYYtO2Vlrrt102ON10BUOs27ZbF7T3HCPdqGe01cwYm4kxMeEQm282oh0ib1QMJjPxaem0N9TTVFlO3vhJkS6pV5nNWRQV3UNOzmVs3nwXbe3fUVv7PPX1r5CZcT65eVdjNPRd/92ekdUWCav74tm8mbYXXgAg7Y//h9ZmjXBFQgwuElYHEI1Gh9U6kg1dHdy6tpUanw6DonBLQTpXZScPmZByKJqbm/noo48oLy8HwGazcfTRRzNp0iR0uv77dVD9Ifz14dFTY354moFZq2FirIWJsT9O31BVlWqPjw3bwuoGp4f1zvDWsg1ePw1eP5+3/biYy6xRGGXdPvpq6hmFjdENzj6ZyXmFgzasbme1DmPChOdpb/+e8oqH6OxcRk3tc9TVv0p29iV9thuWwRz+fQj4or+PbSSpqsrWu/4fBIPYjjsW28yZkS5JiEFHwuoAs1w3l78yAa9PR5ZJzzNj8ymWuan7FAqF+OGHH/j8888JBoNotVpmzJjBkUceicHQ/7t2+RqcEFTRWPVo4/c8Gq4oCrlmI7lmIz9Pjuu5visQ7BmB3R5gN3W7cYdUVna5WNm182KuHJNhpwA7xmYmx2QY8NNFUnLz2bzoG5oqyyNdSp9SFIWEhBnExx9BW/t3lJf/E4dj9Y+7YeVeTWbmhWi1vXhmZfs2zAP7R6TPOd57D9eyZSgmE2m//32kyxFiUJKwOkCoqsrfKhq5v2M6KFCsKeOVyafISv/90NrayjvvvENNTQ0AhYWFnHjiiSQkJOzjnn3HV9MFgCE75qACY4xOy7Q4G9N22Fo2qKqUu7w90wfWOz1s6HbT4PX3tNT6qOXHrUljtBpGbxt53R5kR1nNWLQDp8VZSn54n/XBHla3UxSFxIQjSYifQUvLZ9t2wypjS+lfqK55hoL860lLOw2N5tD/LugM4Z8DvzeIqqoD/o1NXwi5XGz9+98BSLr6avSZmRGuSIjBSZLOABBUVW7dXMuL9a0AnKi+wznBl4hhFpAY0dqimaqqLFu2jE8//RS/34/BYGDu3LlMmjQp4i+8/oZw5wZ9pm0ft9x/WkVhuNXEcKuJU1Pje65v9QXY2L3jPFgPJd0euoIhFnd2s7jzx+1lNUCBxcj0OBsTYy2MtpoZYTVFbYBNzskDoKOhnmAggLYfp3JEUng3rONJTJxNY+PblFc8gNfbyMZNt1JV/SSFBTeRnDznkH7OrXYjKBD0h/A4/Zhj+v8MRLRre+EFgs0t6LOyZJcqIfrQ0PjLPoD5QiF+vaGa95s70AD3jcxmWO1SnM4QbW3fkZZ2cqRLjEput5u33nqLLVu2AJCXl8cpp5xCfHz8Pu7ZPwLbFq3oU8z7uOWhSzToONIQw5E/aalVum0UdseR2FZ/gFKXl1KXt+fN0fYAO8oabqk12mqmyGYi22RAE+HQb41PQKc3EPD7cDRvJT59aI1saTQ6MjLOIjX1ZOrq/kNl1aO4XGWsXfcrEhKOYuSIP2Gx5B/UsbV6DZZYA65OH852r4TVnwi0t9P61NMAJF93HZoITCcSYqiQsBrFuoNBLltbycL2LvSKwiOjc5mXEkepezZO5yaamz+VsLobW7du5b///S/t7e3odDqOP/54pk6diiaKdvDaHlZ1SZGZb2zQ/DgF4Kxt16mqSpMvwOouF991OHvmxLb5gz0B9oPmH6cRWLUaiqwmimxmirYF2SKrCXs/ttRSFIXk/AIaNm+iYtWKIRdWt9NqjeTkXEZGxtlUVT1BVfVTtLV9ww+Lf0Za6ikUFFyPyZRxwMeNSTDh6vTR1eohOaf3F3ENZK2PPU7I6cRYVETsiSdEuhwhBjUJq1Gq3R/gF2vKWeZwYdFqeHZsPjMTwi8WKclzqap6lJbWhQSDbrTavh+dGyjWrl3Le++9h9/vJy4ujnPOOYf09PRIl7WTkDdAyOkHQJdoinA1P1IUhVSjnjlGO3OSwh0KVFWl2Rdg47aWWhu63WzaNo2gOxhimcPFMseui7mKY8wUx1gYZTUxzGIi39x3i7lGTT+Khs2b2PTdQib9fF6fPMZAodPFUFh4E+npp7N5y/+jtfUrGhrfZGvTB2Rnzycv96oD6hwQk2hia4VDeq3+hL+pifaXXwYg5aabUKLojbAQg5GE1SjkDAQ5d3UZq7vcxOm0vFRcwGT7j337YmLGYjJl4vHU0dr2NSnJcyNYbXQIhUIsWLCARYsWAeFFVGeccQaWKNyXO9gVDqqKQYvGFN2/goqikGLUk2LU97xZAvCHVMrdXjY63T8GWaebuh0Wc+04Cpts0DFp2xzYsTHhnbl6axrByCOOZuELT9OwpYT2hrohO7q6I4slnwnjn6GzcxWlZX+jo2MxVVWPUV//Gvn515KZcS4azb43vYhPDf/+tDd27+OWQ0v7yy+j+v2YJ07EOuOISJcjxKAX3a+UQ5A3FOLSdRWs7nKToNfy5oRhFNl2HjkNL66YS03NMzQ1fTzkw2ogEODNN99k48bwNrRHHXUUs2fPjqrT/jsKdfkA0MYc+g5ZkaLXKIy0mhhpNXHqDtd3+AOsc7pZ3eVmTZeLMpeXLS4Pzb4An7Q4ejaxALBpNT19YMfazIyPMVNkMx9wv2BrXDy54ydSuWo5G75ZyIyzL+iV5zgY2O0TmDTxJVpaPqe07F5crnI2b76DmppnyM25kvT0M/YaWpOywm9QtlY69niboSbk8dDx31cBSLjkkogv1hRiKJCwGkWCqsq1G6v5ut2JRavhpeLCXYLqdqkpJ1JT8wzNzZ/g93ei1+/f/vWDjdfr5dVXX6W8vBytVsvpp5/OmDFjIl3WXgW3hVXNIFywEqfXcWT8zou5PMEQq7pc4V24usIjsJu6PTh3043AqtUwOdbCWJuFbLOBkRYT42L2vanB6KNmU7lqORu/+YIjzjpfAsQOwm9ujyMxcSb19a9RXvEAbnc1m0pup6b2OfLzryUleS6Ksuv3OH14+O9KW3037i6fLLICOt9/n2BHB/rMTGKOOzbS5QgxJEhYjRKqqvKHLXW829SBXlF4dmz+TjsZ/VRs7His1hF0d2+mceu7ZGdd1I/VRgeXy8VLL71EXV0der2ec889l8LCwkiXtU/b56tqbQN3ZPVAmLQaDo+zcfgOPWH9IZVSl6dnZ671TjcrHC6cwRBftzv5ut3Zc1sFKLQYKY6xMMJipMhmZnKslaQdegwPm3o4epOZzqat1JVsIGtUdL9hiQSNRk9W1gWkpZ1Kff2rVFY9Snf3Ftat+w1mcw45OVeQnnY6Wu2P86jNNgOJmVZa67qp39JB4aSUCD6DyFNVlfZXXgEg/oILUPpha2YhhITVqPFITTPP1rWgAP8qytlpfuDuKIpCZsa5bN5yF/V1/yUr8xdDajTJ6/X2BFWz2cwFF1xAVlZWpMvaL2ogvH2loh+6L3R6jRLuImAzc8a264KqSkm3h6Wd3Wxxeah2+1i/bR7s9m4EOyowGxlpNVFoMXJ4nI2MI2ZS9cXHbPz6Swmre6HTWcnJuZT09NOpqXmOmtoXcburKSn5P8rL7yc762Kysi5Er48DIGN4PK113dRtlrDqWbsW74aNKAYD9tNOjXQ5QgwZElajwMI2B3eX1QNw17DMnRq6701a2qmUlt2Ls7sEh2M1dvuEPqwyegQCAV599dWeoDp//nxSUob2i+hgoFWUnnZaO2r2+VnT5WZtl4tSl5fVXS62uLyUu8MXgH9XN8GII7FmjifF2cZXm2s5Mj6GI+JtxO5jCsFQpdfHUVBwPbm5v6S+/jWqq5/G462nvOJ+qqofJyPjHHKyLyVjeBxrF9ZSu6ltyO9k1fn+BwDEzJ2LLkp6NgsxFEhYjbBKt5er1lcRAs5LT+DyrKT9vq9ebycl5ec0Nr5Dbe2LQyKshkIh3nrrLcrLy9Hr9VxwwQUDL6iq2zZdH7qv+Qck2aDn2EQ9xybG9lzX7g+wyuGibFtHgu86nFS6fXRbY6iwxvBUXQtP1bUAkKjX9bTTmhhrYWKsleEWY8Q3NIgWWq2F7OxLyMy8gKamj6iqfgKncyM1Nc9SW/siSYknYo6fQntjGk2VXaTmx+77oIOQGgrR9cknAMSe8PMIVyPE0CJhNYJcwRDz11bQEQgyMcbCPcOzDnjUIjvrEhob32Fr0/vk51+LxZLbR9VGh48++ogNGzag0Wg499xzB8yp/x1tz6pIWDpo8XodsxNjmb3Ddd2BIA/e91e2uDzojzuJdcZYyt1eWv0BWv0BVna5eH7brlw2rYbxMZZt4dXCSKuJHJMBQ5R2kOgPGo2etLSTSU2dR1vbN1RVP0F7+yKaW94l57j3cFRPZe13flLzh2b3EffKlQSamtDYbFhnzIh0OUIMKRJWI+iO0jo2dntINuh4ZlwepoPYfz02dhyJiTNpbf2KqqrHKCq6pw8qjQ6rVq1i6dKlAJx++ukDYjGV6D9WnZbD05Iwfvw+EwuyOGb+lbT7A9R7/ZS6PKxyuFjpcLG6y40zGOK7Diffdfy4kEurwAiLiQmxFsbHWJgQY6HIZsI4xAKsoigkJh5NYuLROBxrqKx6jObmT7DnLkFVl7Ju3TwKCq496G1cByrHtlHVmGOPka1VhehnElYj5MPmDl6ob0UBHi7KJd148H/88vOu2bZTzVvk5l41KEdXt27dygcfhOeLzZo1i7Fjx0a4ooOnMYTnUKreQIQrGXyyisaw8uP3qVq7CgiPwMbrdYyxmTklJTzHMBBS2eLysNLhYmWXi1WO8FxYdyjExm4PG7s9vNLQBoBBUSiymcLhNTYcYEdYTOg0Q2NUPDa2mOJxj9DZuZ6vPvgT1vSVbG16j6bmD0lPO4O8vGswmwf/JgyqquL8ciEAMccfH9lihBiCJKxGQK3Hx42bagD4VU4KR+9j5f++2O2TSEg4ira2bygtvYfi4sd6o8yo4fV6ee211wgEAhQWFnL00UdHuqRDorGEf+1CLgmrvS1n3AQUjYa2uhraG+uJT8vY5Ta6HToRnE8iEA4j9V4/a7rCI6+rHC5Wd7loDwRZ3RXe5OCFbVMIzBqFsTYLE2LNPSG2wDy458Da7WOg9Q9UrF3JyDmf41MXUd/wGg2Nb5ORcQ55eVdjMqZFusw+46usxF9TA3o9lsOnR7ocIYYcCav9LKSqXLOhis5AkAkxFm7J750/8MOH3caSpSfR3LKA1rZvSUw4sleOG2mqqvL+++/T2tpKTEwMp59+etTuTLW/NJZwf1UJq73PZLWRM3Y8VWtWsuJ/73LspVfv1/0URSHTZCDTZODnyXFA+Gev2uNjVZeL1Q43q7pcrOkK94Jd6uhmqePHzQxitBqKYyyMspoosBgptBgptJjINOoHTYhNL7RTsyEXV/mtTDvLS3n5A7S3f09d3X9oaHiNzIzzyc29CqMxOdKl9rrub74BwDJ5MlqbdR+3FkL0Ngmr/ew/9a380NmNRavh0dG5vbagw2YbQWbmhdTWPs/mzf+PaYd9sF97f0e7pUuXsm7dOjQaDWeddRZW68B/ofhxZNUf4UoGp8NOOYuqNStZ+8WnHH76uVjjDq7FkKIo5JqN5JqNPVMIQqpK2bb2WdtD7Dqni67dzIEFMGkU8szbwqvZuC3ImsgzG0jU6wZUkM0cGQ/vV1C5uoWZ581g0sQXaW9fTHn5/XR0LqWm9jnq6v9LVtaF5Ob8EoMhMdIl9xrnN98CYDvqqAhXIvpLMBSk3dtOq7uVVk8rre5WPEEPwVCQoBokpIZ6/j0qYRQzMmXRXV+SsNqPmrx+7i5vAOD3+enkW4y9evyC/OvYuvV9XK5Sauv+Q072/F49fn+rq6vjk22LGo477jhycnIiXFHv0MaG5ycHnT7UoIqiHTiBZSDIHjOO9BGjaNi8iR/e+u9+j67uD42iMNxqYrjVxJlpCUB4Duxml4fV2/rAlru8lLo8VLp9eEIqm7o9bOr27HIsg6KQZtSTYdSTbtSTYTKQYdSTZTKQue3zeJ02avqaphfaiU+30t7QTdW6VkZOSyM+fhqTJr1CW/t3lJffj8Oxiurqp6it/Q/p6WeQk30pFktepEs/JCGPB9eSJQDYjpawOpi4A26qHFVUdlZS6dh26aykobuBDm8HITW0X8c5a8RZElb7mITVfvSn0jo6A0GKY8xcegD9VPeXXm+nsOAmNpXcTkXFg6SmzsNo6P3H6Q9+v58333yTYDDIqFGjmD598MwT09gM4aXnQZWgw4su3rTvO4n9pigKM866kDfu/gOrPv0fY2YeR1rh8D57PJ1m95sZBEIqdV4fZS5v+OL2Uu7yUObyUu/149s2zaDa49vzsZVwn9lkvY5YnRarToNVq8Wq1WDRarBoNFi1GgwahZAKKuFLSFVRAYNGIctkQK+Evx4ifL2qgkYJt/r1q+Efx1yTAbteh12nxabV7DLqqygK+cVJO4XV7dcnJhxJQvwMWlsXUl7xIF1da6mre4m6updJTp5Dbs7l2O2TevX73l9cy5ejer3o0tMxDBsW6XLEQerydbGuZR1rW9aypnkNJe0lNHY37vU+CgrxpngSTAkkmhOx6CxoFS1ajRaNokGrhD+OTx7fT89i6JKw2k8Wtjl4u6kDDXDfyGy0fTRakpFxFnX1L9PVtZ6Skj8xbuy/o2Zk5kB88803tLW1ERMTwymnnDIgn8OeKBoFXbyJQIubYLtHwmofyC2ewMgjjqbk+69Z8OS/Oe+u+9D1c7shnebHaQTH/OSMuD+k0ujz0+DxUe/10+D1U+8N/7vW46PO46fFHyCgQsO2r/cnDWDXackyGcgzG8kzG8gxGzAPt9D6nQbtqmac7V5s8T+eHVIUhaSk2SQmzqKjYzFV1U/S2rqQ5uZPwq2v7JPIzbmCpKRjUZSBs6uYZ+1aACyTJg2qv0ODXb2znkX1i1jdvJo1zWso7yzf9lZtZ3ajnbzYvPDFnkd+bD4ZtgySzEnEm+LRaSQmRQP5X+gHvlCI2zbXAXB5VjLjYyx99liKoqVo1D0sXXY6zc0fs7XpA9JS5/XZ4/WF5uZmvv02PEfsZz/7GWazeR/3GHi08UYCLW4C7V56dzKI2O7oC+ZTtXYVTRVlLHzhKY67/FeRLqmHXqOQbTKQbdpzgPaFQrT4AjT5AjT7/DiDIbqDIbqDwW0fwxdnIEhw2zaoCuHRUmXbqKk7GB7d3XEkdfuIqaqCiopeo/TczhEI4g2phID2QJB2p5u1TvfOhZ0Yh8UT4t1FJRxTlExxjIXiGDNpBn24BkUhPv5w4uMPx+ncTHXNMzQ2vktn5wrWrL0aszmPnJzLSE87Ha02+t+oudeuA8A0buC2yxsK/CE/ixsW813dd3xb9y2VjspdbpNpy6Q4qZhxyeMYkziGfHs+8SbZNncgkLDaD16ob6Xc7SVJr+PmXlr9vzcxMWPIy/0VFZUPsWnTH4iNKR4wvVdVVeXDDz8kFAoxfPhwRo8eHemS+oQu3oQXCLTtOpdR9I7YpGROuOYm3rrnT6xe8D9yxo1nxLSBM6/MoNGE57HuJdD2BU8whCMQpNUfoMbjo9LtpcLto9YTvpS7vLhMGlYSYmXl1p77Jel1jIsxMynWwvQ4G5NjrdhsIxhd9FcKC26kpvYF6upewu2upKTk/ygvv5+srF+QlXlBVC/G8qwLh1XzAO7tPFiF1BArm1byv/L/8WnVp3R4O3q+plW0jEsax9S0qRQnFzM2aSxJ5oE5LU5IWO1znf4A/6wMz4v5XX4aMbr+Of2Vl/cr2tq/o7NzOWvXXcOUya8PiFGMNWvWUFlZiU6n44QTThi0p910ieHR4kCzK8KVDG75EyZz2ClnsuTdN1jw+L9IKxxBbNLga63Um0xaDSathhSjniLbrmc1fKEQDz66gnUeL4HxcdTHatns8tDiD/BlWxdftnUBW9ErChO3BdfpcVam5t5AXu7VNDS8TnXNs3g8tVRUPEhV1WOkp59JTvb8qNsVy9/URGDrVtBoMBUVRbocsU2Lu4XXSl7jndJ3aOhu6Lk+0ZTIrOxZzMicwbT0acQaYiNYpehNElb72MPVTbT5g4ywmDg/vf9GDzQaPWPHPsSSJfNwOjewefOdUb8Vq8/nY8GCBQDMnDmT+PjBe3pGl7ItrDa593FLcaiOOPtCqtetprFsCx8//E/O/L8/o9EMnDmT0cag0XDSxAwsL2witsPBhXcejkdV2eh0s9rpZkmHk0Ud3TT6/Czp7GZJZzcPVoFeUZiVEMMpKSdz/JTz8LQvoKr6Sbq61u2wGOt4cnIuJ84+OdJPEwDv5i0AGPLy0AyCtnkDXWl7KS9ufJEPyj7AFwovTLTpbRyXexwn5J/A1LSpMsd0kJL/1T7kCAR5tq4FgNsK0vt9i0aTMY2xYx5g5aqLqW94jbi4KaSnn9GvNRyIJUuW4HQ6iYuLG1Sr/3dHnxKet+xvcaGGVJQhsn1nJGh1Ok649mZe/N211GxYy9cvPcfMCy8dtKP2/WHY5FS+fb0UR7Ob0hVNDJ+SyiS7lUl2K/Mzk1BVlUq3j0UdTr7vcLKow0md18+CVgcLWh0YNQqzE0ZzRu5zTNOVUF/zFK2tX9Lc/CnNzZ9it08iP/+6iG9uEtgaPiumzxz8W8pGs/LOch5d9SgfV37cc11xUjEXjr6Q2dmzMemi/6yhODQSVvvQc3UtdAVDjLSamJMUmdMRCQkzyM+/joqKB9hU8kdstiJiYqJvHqjb7e5ZVDVr1ix0usH9o6mNN4X7EgVUgm0edEmDbxFZNIlPy+D4X17D//71d5Z/8DZ6o4kjzjpfAusOVFUlEAgQDAbR6/VotXsefdYbtYw/NpulH1TwzaubyRwRjyX2x7m1iqKQbzGSbzFyfkb4jNKmbjfvNXXwXlMHpS4vH7c4+LjFQbLBxnlpd3FuTheexmd7FmOtWnUxCfFHMnz4bdhsI/v8+e+Ov2FbWE1LjcjjD3W1XbU8tvox3i9/v6fn6XE5x3HxmIuZkDIhssWJfjW4E0EEuYIhHq9pBuA3OSkR3akmP+/XdHYup63tG1atvowpk9/AbI6ukYLvv/8ej8dDcnIyxcXFkS6nzykaBX2qFX+dE1+9U8JqPyg6chauzk4WvvAkP7z5Cm5HB8de9qtBH1hVVaWrq4umpiba29tpb2+no6ODrq4uvF4vHo8Hj8eDz7dzv1edTofBYMBoNGIwGLBardhstp6LNduGJT1Id0OQL17cyIm/Kt7r93KU1cyofDM356WxqdvDW1vbebWxjSZfgIeqm3i8VuGC9Gu4fPK1BBqfprbuJdrav2XxkpPIzDyXgvzr+30h1vaRVV1a3y+MFT/q8HTw8KqHeWPzGwTU8LbUs7Jncc2EaxiZEJk3LiKyJKz2kTe3ttHqD5Bl0vds1RgpiqJh7JiHWL7ibLq7t7Bq9aVMmfwaer09onVt5/P5WLp0KQDHHHMMml7agjbaGbJjwmG1tgtLsSz66Q+TTzwFjU7Ll88+weoFH2GyxXDkuRdFuqxe5XQ6qaqqor6+noaGBhobG3G5DnwhXyAQIBAI7Pu+qdDWYKLu4eUUjsohJSWFlJQUkpKSdnuGRFEUimxmbreZ+V1+Op+2dvJodRPLHC6eqWvhxXqFs9Mu5ooJF+Kv/QdNzR9RV/cyjY3vMazwd2Rmnoei9M/fCH9juNuBXsJqvwiEArxW8hoPr3oYh88BwPT06fxm4m8YlzwuwtWJSJKw2gdUVeXp2vBc1cszk9FHwXxEvT6WCeOfYdnys3C5Slmz9iomjH8OrTbyXT7Xrl2Lx+MhPj6ekSOHzrtmQ5aNbsBX49znbUXvmTj3JLQ6PQue+BeL334Niz2eST8fWL2IdxQMBqmtraWkpITS0lKampp2uY2iKCQmJpKQkEB8fDxxcXHExsZiMpl6LkajEZ1Oh1arxe/34/V68fl8eL1evF4vLpcLp9PZc+no6KC5uRmPx0NI56GhpZqGb6t7HlOj0ZCenk5+fj4FBQVkZ2ej1+t3qkuvUTgxOY4Tkux81+HkgcqtfNvh5KWGNl5pgNNTb+aqMb+gu+rPOJ0bKNn8R5qaP6Zo1F/75exQoHHbyGqqhNW+VuWo4rZvb2NN8xoARsSP4Japt3BY+mERrkxEAwmrfWBpZzebuj2YNRrOS0+IdDk9TKaMbYH1bDo6lrBu3TWMG/dvNJrIBVZVVVm8eDEAU6dOHTKjqhAeWQXw13XJIqt+VnzsXNyOTr797wt8+fwTWOPiGDl94Oz77vV6KSsro6SkhM2bN+N279xVIjU1laysLNLT00lPTyclJWWXoLg3er0ei2Xfm5eEpxg4eeeR72lqasaY6MeaprK1aSter5e6ujrq6ur49ttv0Wq15OTk9ITXjIyMnt93RVE4Mj6GI+NjWNrZzQOVW/m8zcEbW9t5r8nE/MxHOTPlC1oq76W9/XsWL/k5w4fdRkbGOX06jcPfKHNW+5qqqvy35L/8c9k/8QQ92PQ2rp90PWeMOENW9oseiqqqu+4/NoA5HA7sdjudnZ3ExkZmUdNdpfU8UtPEmanx/Ht09DXjb2tfxOrVlxEKeUlMnMW4sY9EbIS1srKS5557Dr1ez4033jgod6vaEzWkUn/H96i+EKk3TEKfKq1x+pOqqnzx7GOs+uRDNFotJ11/C8MPOyLSZe1RKBSirKyMFStWsHnzZoLBYM/XTCYTw4cPZ+TIkeTn52Pt5TZLalAl5PajBlUIbbsAikmHxqTD0ebmv39eSsAb5MizhlN8TBadnZ1UVlZSXl5ORUUFXV1dOx3TaDSSn59PcXExI0aM2GXKwCqHi7vL6/mmPXzmIcWg4895BjIab6ezcwUACQlHUTTqL5hMGb36fAFCXi8l4ycAMGLxD2jt0TFtajBp7G7kj9/9kUUNiwCYlj6NP8/4M2lWGckeCg4kr0lY7QMzl2yipNvDY6NzOTU1OnuFtrV9x+o1vyQU8hAXdxjF4x5Fr4/r9zreeust1qxZw6RJkzj55JP7/fEjrenxNfgqOok/fTjWw+QPdH8LhYJ8/PD9bPx2IRqtlhOv+13U7XLV1tbGqlWrWLVqFQ6Ho+f6+Ph4Ro0axciRI8nOzt7r6v39oYbU8BbATS78LW4CzW4CzS4C7R5CTj+72Va9h2LSElAUurp8+BWFtDEJWDJj0CWZ0SeZ0SYYaXN1UlFRQXl5OZWVlXg8P+7eZrFYKC4uZuLEiaSm/jiKqaoqC9u6+GNpHVtcXgDOSo3jSvNCmqv+RijkRau1MWL4H0hPP7NXR1mDDgebD5sGwMg1q9EY+ncnscHuw/IPuXvx3XT5ujBqjdww+QbOG3Uemn6ajywiT8JqBMNqjcfH1EUb0AAbjhxLnD56T2O0t//A6jVXEgw6sVjyGV/8FBZLXr89vs/n47777sPv93P55ZeTlZXVb48dLToXVNH1eTXm4iQSz5cdciIhFAzy0cP/ZNN3XwEwcvpRzPzFZcQkRm5rxmAwyIYNG1ixYgUVFRU915vN5p1C3aGEMzWo4q934q3oDF8qHajuwN7vpFFAo6BoABVUf2i/H09j0aFLMqNLsaDLsNBmcrGlpZLVa9bgdP44bzs/P5/DDz+c4cOH90wT8ARD/K2ikUdrmlCBNIOeP+fpSG24DYdjFQBpqacyatTdvbZTX6C1lS0zwn1eR23cMOi7RvQXl9/F3Yvv5r2y9wAYmziWu4+6mwJ7QYQrE/1NwmoEw+pzdS3curmWaXYr704a3u+Pf6CczhJWr74cj7cevT6e4nGPERc3pV8ee/369bz++uvExcVx3XXXDckXA29lJ82PrUFj0ZH+h8Nl3mqEhIJBvnrxaVZ+/AGqGkJnNHL46ecy5aRT0er2f67nofL7/Sxbtozvv/9+p9PmhYWFTJw4kVGjRh1SD+KQL4h3Szvu9a14NrURcu0cThW9Jhwmk8MjorpkC7pEE1q7EY1Vv8vPpxoMEXIHwhdXAHeLmyVvlaI6/SRYdWRn2Qi1ewl17dwWq4dGQZtqoiHOySZvNVsaKtj+kpSQkMARRxzBxIkTe0aNl3Z2c/3Gasrc4VHWc9Piudz4KU1V96GqQWJixlA87rFemRbgb2igdPYxKHo9o9auOeTjCah2VHPtF9dS1lmGRtFwVfFVXFF8hcxNHaIkrEYwrP5iTTkLWh3cVpDOtbkDY1K+19vM6jVX0NW1FkUxMLroXtLS+v6U/Ouvv8769euZMWMGxx9/fJ8/XjRSgyHq7/oB1Rsk5ZoJGLJiIl3SkNZUWc7nzzxGfckGAFILhnPS9bcQ18erwf1+P8uXL+fbb7/tGWW02WxMnjyZiRMnEhcXd9DHVv1BPCXtuNY049nUhur7cTRUMesw5sVizLdjzLejz7CiaA/tNKyj1c3bf1+Bs91LYpaNU2+YiEGnIdDqJtDixt/Qja/Oib/OSajbv9N9nRovm+K3stFbhTcQDriJiYkcd9xxjBo1CkVRcAdD/LWigSdqmlGBDKOeOzKdxFVfg9/fhl6fwLix/yI+/vBDeh6+mhrKjp+DYrEwasXyQzqWgKWNS7lh4Q10ejtJNidz79H3MjVtaqTLEhEkYTVCYdUTDFH07VrcIZXPp45kjG3gLBYKBt2s33Ajzc2fApCb80sKCm5Ao+mbeVp+v5+//e1v+P1+rrjiCjKH8HaGLS9swLOhldjjc4k9NifS5Qx5qqqy8Zsv+fK5J/B0O7HY4zjjtrtIyev905SqqrJu3To+++wzOjs7AYiLi+Ooo45i/PjxBz2KqvpDeDa34VrTgmdjG6rvx8VY2jgj5jGJmMckYciNRdH2/mh+x1YXb/1jBW6Hj9T8WE6+bgIG087PRVVVgp1efDVd+CodeDa3E2gOdzXwE6BEW88qfRUewqE1JyeH448/nuzsbAAWdzi5flM1Fe7w189NMXGG83Z83atQFC3Dh91GVtbFB33Gxt/UROnRM0GjYdT6dUPyzE9veXPzm/z5hz8TUAOMSxrHg7MfJNkivaWHOgmrEQqrX7V1cc7qMtKNelZMHz3g/ripapDS0nuprnkagBjbGEaP+Qc2a+9PZ9i4cSOvvvoqdrud66+/fsB9r3pT99JG2t/cgj7DSuq1kyJdjtimq7WFt++9k+aqCvQmMydd9zsKJvXeSFBNTQ2ffPIJtbW1AMTGxjJz5sxDCqn+JhfdSxrpXr51p/mn2jgj5uJkLOOS0GfZ+uX3rbXOydv/XIG3O0DhxGTm/nLsPh830OrGvakNz6Y2vOWd+IJ+1uiqWKutJqiER4SLho3kuJ/PITExke5gkHvKG3hqW1/rIquR24z/RdP6HwAyMs5l1Mi7UJQDX3wWcrkomTQZgBHLlqG1SbeOAxUMBfnH8n/w4oYXAfh53s+5a8ZdmHS9M69YDGwSViMUVh+q2spfyhs4NSWOx8bk9etj96ampk/YVHI7fn87Go2RYcNuJSvzF736Avf222+zevVqDj/8cH72s5/12nEHomC3n4a7f4AQpN08BV3iwBmRH+w83U7e/+dfqF63BkXRcPSF85l84qmH9Lvg8Xj45JNPWLlyJRDuaXrkkUcyffp0DAex4lxVVbxlHXR9UYO3vLPneq3dEA6oxcn9FlB/qrGik7fvW0EopDLlhDwOm5e/33Vsn1/rWtNCy4Y6lqulbNY2gAIaFA6feBizTzgOvV7Pt+1dXLW+ihZ/gFithj+lbCGt/lYgRGrKSYwe/Xc0mgOfe7xp0mRUl4vCTz7GkBt9bQijmS/o49ZvbmVB1QIAfj3h11xZfOWQHpgQO5OwGqGw+sv1lbzX1MEfCtK5ZoDMV90Tr7eJDRt/R1vbNwAkJhxNUdG9GI0pvXL8+++/n87OTi688EKGDRvWK8ccyJqfXIO3rJPYuXnEzs6OdDliB8FAgM+ffoS1X4SnyKQPH8mYmceSP3EKsUkH9vtQUVHBO++803PKf8KECRxzzDEH/bfKW+Wg86MKfJXbWlopYBqVgHVaOqYR8VGxYG/Nl7V88+pmAI46ZzjFB/HzHfIGcW9opeaHzXxbv5JabSsAcfoYTj7xJAomjKTB6+OX66pY6ugG4NoUB9Oafgmqn6SkYxk75l8H3E+6dM5c/NXV5P7nRSxT+mfh6WDg8ru4YeENfF//PXqNnr8c+Rd+lj+0ByXEriSsRiisHvHDRsrdXv47voBZCZHp8dqbVFWltvYFSsvuJRTyotfHM2rkn0lOnntI747b29t58MEH0Wg03HLLLRiNkd/yNdK6lzXS/sYWtAkm0n47JSpChviRqqqs/Ph9vnrxGULB8Ol1RaNh3Ow5HH7mucQk7L3Nld/v5/PPP+eHH34AwvNSTz31VPLy8g6qHn+zi86PK/GsD4c2dAq2w9KxHZ2JLi76TrEu+6iSxe+WA3DUOSMonn3wbep89U5WvbeIhQ1LcSnh+arj4oYz98wTMGTYubO0nqfrwtMCLkzy8vOWS0H1EB8/neJxj6PT7f/p/Mpzz8O9ahWZDz1I7Jw5B13zUNLl6+JXn/2KVc2rMOvMPDD7AY7IiN7NNkTkSFiNQFh1BoIM/2YtKrB2xhiSDf3X7qavObu3sH79jTid4RXSCfEzGD78dmy2kQd1vJUrV/Luu++SlZXF5Zdf3pulDlghX5CGuxejeoMkXTYW0/Do3ExiqHO2t7Hh6y8oW76kp2OATm9g8kmnctipZ2Ew7TqFo66ujrfffpuWlnCAmjx5MnPmzDmoN2lBhw/HZ1V0L2uEEKCAZXIqscfnorNH75s+VVX57o1SVn9eA0Dx7CyOPGv4Ib0pc1S08PFbH7KhK9yH1qoamVMwg7FnTufptnb+WFoPwIlxQc7rvBwl5CAh/kjGj39yvxeO1vzq1zi/+ILUP/4fCeeff9C1DhXugJurFlzFiqYVxBhieOTYR5iQMiHSZYkodSB5rc+3injkkUfIz8/HZDIxefJkvvnmmz3eduHChSiKsstl06ZNfV3mIdvY7elpVj2YgiqAzTqcqVPeJC/3ahTFQFv7dyxZejIlm+/C52s54ONVVVUBHPSo0mCkMWixTAqfUu76qjbC1Yg9scUncNgpZ3LeXX/jnDvvJWPkaAJ+H4vffo1nrr+SlR+/j98X7gEaDAb58ssveeqpp2hpacFms3H++eczb968Aw6qqj+I4/NqGu9bSveScFA1FSWQev0kEs4cEdVBFUBRFGacOYzD5uUD4akBC18pIXgAmwr8VGx+EmffdDHnnXgWsTor3YqXt8u/4OO/v8b5jSEeLspBp8CHHVoesz1LUGOnrf1bNm68FVXdv8c1FoY7QHg3bz7oOocKf9DPjQtvDAdVfQxPz3lagqroNX3aiffVV1/l+uuv55FHHmHGjBk8/vjj/PznP2fDhg3k5Oy5RU9JSclOKTs5OfpbXKxzhluuDKR2VQdCozFQWPhbMjLOYcuWu2luWUBt7fM0NLxOdval5OZcjk63fz1Ca2rCoyu5smBhJzFHZdG9pBFvaQfe8k6MBbIXeTTLGjWGc++8l9Kli/jqP8/QubWRL559nB/eepWRx/6MzW1dNG7dCsCYMWM48cQTsVgsB/QYqqriXtdK5//KCbaHQ7AhJwb7CfkY8wbWz4eiKEw9MR9bvIkvXtjIhm/q2VruYO4VY4hPO/iV9iOnjiF//HA+fP09Vm9Zx1J1C03vdTAnZzrPz8nliqo6vu0KEbI9wS+dl9C49V0MxmSGD/v9Po+tSwmvPQi2dxx0fUNBSA1x+3e3823dt5h1Zh4+7mGKEmVHPtF7+nQawLRp05g0aRKPPvpoz3VFRUWceuqp3HPPPbvcfuHChcyePZv29vaDboIdqWkAN22q5qWGNq7LTeX3Ben99riR0tb2HaVl99HVtRYAnc5OVtaFZGddhMGw5/l7fr+fv/zlL6iqyk033URMjDTB31H721voXtyIscBO8i+LI12O2E8Bn491Cz9jyXtv0BpQ8aZkg0aDRlUZk53OkcceT0pewQHN9Q52+Wh/YzOeknYgvLrffkI+5uLkPl9R7fO4adhSQt2mDbg6O9Dq9Wj1enR6PVq9Aa1Oh8/tQtFo0BuM6AxGTDExpBWOwJ6cgqLZ+0m7yjUtfPHiRtxdfvQmLcfPH03++EMflFi2dBkf/e9/BNUQ9pCFOUykee5wLg04cIVCTLe6+KXzUgz4GT7sNnJyLtvr8bo+/5zaX1+DsaiIgrffOuT6BqsHlj/A0+ueRqfo+Nex/+LIzCMjXZIYAA4kr/XZyKrP52P58uXceuutO10/Z84cvv/++73ed+LEiXg8HkaPHs0f/vAHZs+e3Vdl9prBPrL6UwkJM5gafwTNzZ9SVv5PXK5SKisfprr6SdLTziAn5zIslvxd7tfS0oKqqpjNZmw2WwQqj24xs3PoXrYVb3knnrIOTIVxkS5J7AedwcCoo4+hpL2L+o0bAdA6OzE1VFK5aTmVCz4gLi2dkdOPImvUGJLzCrDG7XlesntTG+1vbCbk9INOIWZmNjEzs9AYDrxfqKqq+Nwu1JAK2zJuOOwqBP0+nO1tONtbcba10lpbQ92mDTRVlqGGDu4UvVavx56SRlxqGnFpGT0fUwuGYYkNjwbnFSdxzh8O45Mn19FQ2sn/Hl3L1JPymXpC3iHNY50ydQqpaam89t9X6ex28o76AzM/dPDwqGH8OldhUbcFLI9xleuXbCn9CwZD8l536zOODM/L95WWovr9KPrBNcWrN3xY/iFPrwv35r5rxl0SVEWf6LOw2tLSQjAYJDV15xZOqampNDY27vY+6enpPPHEE0yePBmv18uLL77Isccey8KFCzn66KN3ex+v14vX6+353OFw9N6T2E+BkMqmbg8AY4dIWIXwC15KylySk4+juXkBVdVP4HCspq7+Ferq/0t8/HTS004lOXkuOl04mDY1NQGQkpIi/fZ2QxdnxHpYGt2LGnAsqMJYYJfv0wBQX1/P66+/Tnt7OxqNhjlz5lBUWED12lVUrFxGxcpldDQ2sPjt11i87T4WexxJOXnEp2ditFgwmMwYjBbi6+LRlYWDoj7NQsJ5o9Cn7v9p8lAwSHNVBXUlG6gr2Uh9yQacba0H/JxikpLJGjUGe2o6oYCfYMBPwOcn4PcR9PsxWiyoqkrA68Xv89LV2kJTRTlBv5+2uhra6mp2PqCikFYwjLzxk8gdP4mM4aM45YaJfPd6KWsX1rL0gwqaq7s4fv5oDOaDf2nKzs7myquv4vXXXqequorPDGuZuNnJA83DuW6SlUXuOGKt/+QX3dexYePvMBgSSUiYsdtj6TMz0VithLq78VZUYBox4qDrGozWt6znT9//CYDLxl7GvMJ5Ea5IDFZ9Ng2gvr6ezMxMvv/+e6ZPn95z/d13382LL76434um5s2bh6IovPfee7v9+h133MGdd965y/X9OQ1gU7ebWUtKsGo1bDlqHJohGi5UVaWjYynV1U/S0vpFz/UajYmkpGNISpzNunUhvvtuHVOnTuXEE0+MYLXRK9jppeG+pRBQpTPAALBmzRreffddgsEgdruds846i6ysnVsz+TxuypcvoXTZYpoqy2lvqIOf/Om165M4PGUecYbwQrvNncso8S0nJiUJe3IqsSmpWGLtaLQ6NDotro52WmqqCfp9BAN+1JCKx9VNR0M9fq9nv+s3x9qxJSQSk5BIbHIqGSOLyBxZdMA9ZCEclLtam2lvbKBzawMdWxvpaKynrb5ul/BqtFjJGTuevPGTCASyWPJBC8FAiLhUCydcPe6Q5rFCeIHbggULetqFjQ1kE4gr4qZJFoIKXGBZxQnd/w+dLoapU97e7ZkggMrzL8C9YgUZ9/0N+zwJY9u1uFs454NzaHI1cXTW0Tw0+yG0mgMf+RdDV1S0rvL5fFgsFl5//XVOO+20nuuvu+46Vq1axVdffbVfx7n77rv5z3/+w8Ztp9Z+ancjq9nZ2f0aVj9s7uCydZVMjLHw0RR55w3gdtfQ2PgujVvfweWq2OlrTmc8cfbDGDXqBOz2SZhMGRGqMnp1vF+G87t6dClmUq+dhKLr88Yd4gAFAgG++OKLnmlNI0aM4LTTTsNs3vfZFb/XQ0tNFc1VFTiam9E3a0mvz0SjavDhYXnnZ1S3rT/o2owWKxkjRpExcjSZI4tILRyOVrf9FLbak5M1Gg0abf8EDGdbK5VrVlK5egVVa1fh6dr5LFhscgY+bwbBUDZGWy5zLh3fK/NYlyxZwv/+9z8ARgUyaU0dy/8bG/4/ut38BqNdr2CxFDJ1ypu7XSTaeNddtL/8CgmXXUrqzTcfcj2DgT/k59KPL2VV8yoK7AW8dMJL2AwyrUscmKiYs2owGJg8eTILFizYKawuWLCAU045Zb+Ps3LlStLT97xgyWg0RrypfI073Jg6x3zgWyUOVmZzNvn515CX92u6utbS3LyA1rav6epah83WTiD4CevWfwKA0ZiGPXYidvtEYmLGYbUWYjAkRvgZRFbssTm4VjcTaHLj+Lwa+9y8SJckduB2u3nttdeoqAi/ETviiCM47rjj0OxjYdF2eqOJ9GEjSSscgfPbejpXl4MKxuFxpJ89koKY4/G6XDiat9LZtO3S3Ii3u5tQMEgw4MdgtpCSV4jBbEar06EoCgaLBXtyKgkZWftc5NTfbAmJjJ11HGNnHUcoFGRreSmVq1dQuXolDZs34WiuB+qBZfidWt75Ww5jZp3E8ZfNOaR5rIcddhg6nY733nuPTbo6hjeHOKdqAq/mGnnQeyZ3GzaQ5FpNSckdjBnzj13ubxw5CgDvppKDrmGweXTVo6xqXkWMIYaHjnlIgqroc33auurGG2/kF7/4BVOmTGH69Ok88cQTVFdXc9VVVwHw+9//nrq6Ol544QUAHnjgAfLy8hgzZgw+n4///Oc/vPnmm7z55pt9WeYhq/aEw2q2ScLqTymKQmxsMbGxxRQW3sS//30PirKJadOSCKmlOJ0b8XobaWr+iKbmj3rup9fHY7EUYLUUYrGGP5pMWRgMSej1cShKdL0Q9zaNRU/8qcNo/c9Gur6qwTwuCUOGvCBEg46ODl566SWam5sxGAycdtppFBUdeJseNajS8UEZ3YsaALBOSyPu5GEo2nAwM1osJOfmk5y7+9PTA5lGoyV92EjSh41k+hnn4el2Ur1udTi8rlpOV2sLoUAFaz/7F2VLP+C4Ky6mcNLEgx4FnjRpEnq9nrfeeostmgam1erYHDOelQk67ud2bmc+jVvfITFx5i4LrkyjwousPJslrAIsbVzKU2ufAuCO6XeQGystCEXf69Owes4559Da2spdd91FQ0MDY8eO5X//+19Pf82Ghgaqq6t7bu/z+fjtb39LXV0dZrOZMWPG8OGHH3LCCSf0ZZmHrGZbWM2RsLpX4TmtQQKBfAoKriUhIYFg0IXDsZbOzpV0OlbidG7C46nF72+ns3M5nZ3LdzmOomjR6xMxGJIwGBLR6+PQaW1oNEbYtspZ+XHZM9lZFw/IqQbmsUmYxyXhXttC+xubSfn1BBTt4A7p0a6pqYkXX3yRrq4uYmJiOP/88/d65mdPQt4gba9swrOpDRSw/zwf21GZQ3YxnclqY8S0GYyYNgNVVWmrq+GL51+jes3XuDoreO/vd2COsTP15NOZMPdE9MYD31J23LhxaDQaXn/9dTYHarig2kadZTiVJi3Pa/7GlaFrKNn8R+z2yZjNmT33Mw4fDopCsLmFQGsrusShe9an09vJrd/ciorKGcPPYE6ebEEr+odst9oLZi3ZxKZuD68UFzA7sf96uw40Ho+Hv/71rwDcdtttGAy7D/fBoBuXq4JuVxmu7vLwR1cZHk8DgUDnAT/u1ClvExs7MHuWBrt8bL1/OSFXgNi5ucTO3vNmGqJv1dTU8NJLL+HxeEhOTubCCy/Ebj/wxvxBh5eW59bjr+8GnYaEc0ZiGbfn3sRDWfnKcv738HN4nRtADS8as9jjmHbqWRQf93N0e/gbsjfLly/n/fffByA9bxp/zk7Dr1G4iE+Zqz5OnH0qkya9vNPZm7Kf/RxfZSXZTz+FbcbuOwcMBbd9cxvvl79PXmwer570Khb9gW1yIcSOomLO6lChqmrPyGq2zFndK7/f3/Nv/V76FWq1ZmJiRhMTM3qXr4VCPnz+Nny+lp5LwO8gEHQSCnm3rbBWUQl/RFUxGKJ/B7Q90cYYsM8rpP3VEhyfVWMek4Q+RV4g+tuWLVt47bXX8Pv9ZGVlcf755x/wblQAgQ4vzU+uIdjqQWPVk3jxaIw58gZ3TwomFnDpP//AR4+tom7jYgKeH3B1dvDl80+y9P23mH7m+Yw7Zs4BjUhPnjwZl8vF559/TkPlYq6MOZ5/J1h5JXQ8xcoC6FxKbd1LZGf9ouc+xpEj8VVW4t1UMmTD6te1X/N++ftoFA13H3m3BFXRrySsHqL2QJDuYLgnYpZRwurebA+rer3+oE93ajQGTMY0TMa03iwtqlkmJONe1YSnpJ2210pIuXq8TAfoRxs3buT1118nFAoxbNgwzj777D2eFdibHYOqNsFE8mVj0SUOnb7MB8sSa+DUm6aw/KNkln80Gp9rLSHvYpxtrSx44l+ULPqGoy+YT2p+4X4f88gjj8TpdLJ48WLUjV8ybeoJLDZoeM51C7eYr6Ks7O8kJx2HyRSe4mEaNZKuTz7BU7J/LRcHmy5fF3cuCreIvGj0RRQnD8wzVWLgkle8Q9TsCwAQp9NikgCxV4FA+Hul08l7pAOhKApxpw9HMevw1zpxfFa97zuJXlFWVsabb75JKBRi7NixnHvuub0TVH85ToLqAdBqNRx2Uj7n33EEqQVHoI+ZjzluFhqtjuq1q/jPrdfx4UP34Whp3q/jKYrCnDlzGDZsGMFAgAkl32NWYZ0lia9dFxAMOinZ/Ce2z5Izjgp3BPCs39BnzzGa/WPZP2hyNZEbm8uvJ/w60uWIIUjS1SHq8IcDWLxemiHvy/bR1EE2Tbpf6OxG4k8fBkDXwhrcJW0Rrmjw27JlCy+//DKBQKCnh+rBvNHabVCNO/AFQgLsyWZOvWEiyTlxqMokrMmXkT8xfFp+03df8cLvrmHjtwv362+MVqvlzDPPJDk5GaWthWPbwpsWvGQ8mdZQMi0tn9Pc8ikAlokTQVHwlZURaD3w3cAGsu/rvufNLeGOPHcecScmnfzsiv4nYfUQdQSCAMTJaOE+be9BGTrIPceHOsu4ZKyHpYEKbS9twlfvjHRJg1ZtbS2vvfYawWCQoqIizj77bLQH0TZJgmrvM9n0nHL9RFJyY/B7rTTXTWf2pXeQNmwE3u5u/vevv/Py7TfSULrvVlMmk4nzzjsPg8FAxrrljCCAS6flP57bUIHSzfcSCvnRxsVhHBluYeVaurRvn2AUafe084fv/gDAeaPOY3Lq5AhXJIYqCauHyBfadproEJpWDxXbX+yDwWCEKxm44k4uxFhgR/UFaX1+PUGHd993EgektbWVl19+Gb/fT2FhIWeeeeZBjaj6t3bT/NhqCap9wGTVc/L1E8kenUDAH2LJB04OP+Nmjjj7AvQmM41lW3j1jltZ9+WCfY6yJiQkcOKJJ6IBJi77Gh2wxJrDEv9xuL1VNNS9BYB5/Hhg6EwFUFWVuxbdRbO7mQJ7ATdMviHSJYkhTMLqIQpu+0OoGaL9EQ/EjiOrMhXg4Cg6DYkXFqFLNhPs9NHy3HpCXgn/vcXpdPKf//wHl8tFenr6QY+o+uqcND++hmCHF12SWYJqHzCadZz062LyxycR9If45MmN2BKP4rIHn6BwyuEE/X4+eexB3r//Htw/2dr1p4qLixk7dizx3Q4ObwzvSvYfzSV4MFJe8hChkO/HzQGGyCKrd8ve5bPqz9BpdPz1qL9i1skcaxE5ElYP0fYT2jrJqvtkMoVfrFVVxeuVEcGDpbHoSbpkDBqrHn99N22vbEINytSKQ+X1enn55Zdpb28nLi6O888//6C2cvbVdtH81FpCrgD67BiSrx4vQbWPaLQafvbLsYyekY6qwtf/3cyaL1uZd8OtHHnuRWi0WrYs/p4Xbr6G+s0b93gcRVE46aSTiIuLo2jzWpJCftp0Zj4OnIVP00jVyhd+XGS1bv2gf7Nd21XLX5eEe2L/esKvKUo88B3ahOhNElYPUWDbHy2tjKzuk8Fg6FlJ7XTKfMtDoUs0k3jxaNBp8Gxqk8B6iAKBAK+99hr19fWYzWYuvPBCYmJiDvg47k1tND+xFtUdwJATQ/JlY9Fa99xTWBw6jVbDrAtHcdi88La0Kz6p5rs3yjns1LM4/8//ID4jC2d7G6//vz9QvnLP801NJhOnnXYaWjXEhE2rAPhAN48O4qje+gTajBwUg4FgWxu+isp+eGaREQgF+P03v6fb383ElInMHzM/0iUJIWH1UOm2hVR/aHC/0+4t2wNAV1dXhCsZ+Iw5sSReWARaBfe6Vlpf3oQakMB6oEKhEG+//TZlZWXo9XouuOACkpIObEcpVVXp+qaO1ufXo/qCGAvsJF06Fo1JFl72B0VRmHpiPsdcNAoUWLuwltWf15BaMIwL77mf/AmTCfi8vHvfn9m8+Ls9Hic3N5eJEydS2FxHhrsLt6LjndCFBEytlH/xFObi8LxV1/Jl/fXU+t2Ta59kVfMqbHob9xx1D1qNdLoRkSdh9RDF6cK/yNu7Aoi9k7Dau8yjEki8aDToFDzrW2l5dh0hTyDSZQ0Yqqry8ccfs379ejQaDeecc87/Z+++o6uo8/+PP2fmltyb3PTeA6GGFkJvIoKAFUVdxd5dy+7qV1ddf27fZdd1d21r7xULqCAIItJ77zWF9N5zk1tm5vfHhCACgpLkpnwe59wDzNw7856Q5L7uZz6F+Pj4n3YMr0b150eoWZgFOvgPjxZB1Uf6jYllTPMUb2vnHuHI1lIsfjYuf+RJ+o49D01VWfjsU+xatvi0x5g8eTJ2m41hB3cAsFI5j1oCKQ36DFO/iwBoWHP6wNuZ7SjdwSs7XwHgiVFPEBcQ5+OKBMEgwuo5Cm6eX7XKIwLC2QgICABEN4DWZOsTSvjNaUgWBVdmDWUv7xKzBJyllStXsmnTJgCuuOIKUlNTf9Lr1QYP5W/uoWFTMUgQdHEPgq9MRTKJX62+MmRyAgPPiwMdvn1rH0WZNSgmE9Pvf4j+489HU1WWvvoC3731Cpp2ciODv78/kydPJqamgsj6atzILJdm4PWrpCbgKHJwEg1r1qC73T64urZT767nsdWPoeoqF/e4mEt6XOLrkgShhfiNeo5Cmqe0ES2rZ0e0rLYNv14hRNw9CDnAjKe4gdIXd+IpbvB1WR3aihUrWLFiBQDTp09n4MCBP+n1nlInpS/uwJVVg2RVCLs5Dcf4uJ+9lLDQOiRJYtwvepM8KBzVq7HoxV1UlziRZYVp9z3E2GtuAGD74gUsfvEZtFNMpZeenk5CfDwD844A8K08HQ8mqhK+xTb8NjRnI86tW9v1utra7E2zKagvIC4gjidGPuHrcgThBCKsnqNjLasNqkaTGOByRkFBQQBUVooVmFqbJS6AyF8OxhRuQ612Ufq/HTh3lPq6rA5p69atLUF18uTJjBw58ie9vnF/BaUv7jDmUA2xEvnLwdj6hrZBpcLPIcsSF96eRmSSg6YGD1+9sJPGejeSJDFq5rVc/KtHkGSZ/auXs/DZp1C9nh+8XmbSpEn0KCvA39VIpWZhg3QeTcFZuGIaMSeNo37NGh9dXev7Ovtr5mfOR5ZkZo+fjcPy0wcXCkJbEmH1HAWbFGzN84cWujxneLYQGRkJQGmpCFFtwRRmI+KXg7GmBqN7NCrnHKR6fqYYePU9Bw8e5KuvvgJg4sSJjBs37qxfqzV6qfz0EBXv7ENvUrEkBxJ53xDM0f5tVa7wM5mtChffNxhHmB81ZY18/dJu1OYGhb5jz+Oyh36HYjJxaONa5v3jTzQ1nNg1KSUlhcTYWAYUZAGw1HQtOlATtwpL30txHcpq70tqE4X1hfxl/V8AuGvQXaRHpvu4IkE4mQir50iSJBJtxnRMRxtFP8EziYqKAqCqqgp3F+vz1VEo/mbCbxuA4/wEAOrXFVL6vx24i0S3gOzsbD755BN0XWfw4MGcd955Z/3axgOVFP93K86tJSBBwLg4Iu4YiBJgacOKhXNhD7Rwyf2DsdhMFGXWsPmr7JZ9qcNHcfkjT2K2+pG7ewdz//bkCS2skiQxYcIE+hXlYFK9ZHpD2ccA6qO3ItkCUBtjfXFJrUrVVB5f/Th1njoGRQzi7kF3+7okQTglEVZbQZKf8WaV2yTC15n4+/vj72+0QonW1bYjyRJBU5MJu6k/st2Ep6iB0he2U7s8F13tntOsFRQU8NFHH6GqKn369OGyyy47q/6lmtNjtKa+vRet1m2sSHXPYIIv6SEGUnUCoTH+TLzeWH1q69dHObqnomVfypAMrv3zU/gFOCjOPMyGuXNOeG3v3r1JCguld3EuAEvkK1DNdThD92OKGoUrp6D9LqQNvLHnDbaVbsNusvOP8f/AJIsZLISOSfymbQXHW1ZFWD0boitA+7H1DyPqwQz8+oeBqlO75CilL+/EU+r0dWntqqSkhPfffx+3201KSgpXXXXVGZdR1XWdhq0lFP/7xNbUqF+nY00KbKfKhdbQa1gUAyYY0zAtfWsv9VVNLfsik3sw5c77ANj4+acnrHQlSRLjx49nUHNXgG36YEqJojZiNZLZj5qFO9rvIlrZ7rLdvLjjRcCYpirBkeDjigTh9ERYbQVJfsaSjNmiG8BZOdYVQITV9qE4LITd2I+Qa3oj+Sl48uooeW4bdSvzu0Vf1pqaGt577z0aGxuJi4vj2muvxWz+8VWlPMUNlL2yi6pPD6E1eDBF2Ii4e5DRmmoWk6R3RuOu7kVEogNXg5eVHx48YcnU3qPG0X/8+ei6xtcv/Ad3U2PLvv79+9PDZiG+shQdidWcR33MTnTJizvf1CmXXnV6nDy6+lFUXWVa8jQu7XGpr0sShB8lwmorSAuwAbCjrnu1Vv1cx1pWS0pKfFxJ9yFJEv5Do4h6MANr7xDw6tR8nW30wdxd3infcM+G2+1mzpw51NfXExkZyfXXX4/Vaj3t872VTVR9fpiS57bhzqlFMssETksm6tdDsSYHtWPlQmtTzDIX3NIPWZHI2V1Bzq7yE/ZPuu0eHOERVJcUseLd11u2y7LMuHHj6FNidAVYK01CNTdRH7QddDuuzOr2vIxWMXvTbPLq8ojxj+HJ0U+K6daEDk+E1VYw2GFDBopcHopcoivAmYhuAL5jCrISfmsaIVf1Qg4wo1Y0UfnBfspe3oUrp8bX5bUqj8fDnDlzKCoqwmazcd1112G320/93DInlZ8eovjpLTRsLAYNbGlhRP1fBoETE0Tf1C4iLDaAIZMTAdg4Pwv9e8tkW+3+TL/3QZAkdi9bQubWjS37Bg4cSN/6KhRVpYQI8kmgLuAbAOrXF7XvRZyjJTlL+OLIF8iSzN/H/Z1Ai+jSInR84jdwK/A3KfT19wNgW61oXT2TY2G1oaFBrGTlA5Ik4T8smuhHhuO4IBHJLOM+WkvZy7soe20XTUeqO31Lq67rfPnll2RlZWE2m7n22msJCQk56XnugnoqPtxPyX+a+6VqOtbUYCLuGkjYjf0xBfv5oHqhLaVfmIjFZqKioIEd3+adsC8hbRDDLrkCgG9eeZ76SmMwltlsJmNAGvHVZQBsYzgNcVno6DTtq8Bb0zm6gBU3FPOn9X8C4PYBtzMsepiPKxKEsyPCaivJCDJGuIuwemYWi6UlOIjWVd+RrQpBU5KIfmQY/sOjQZZwZdZQ/vpuyl7aSeO+ihNanjqTFStWsGfPHmRZZtasWSQlJbXsU2td1K3Kp+SZrZQ+v53GXeWgg1+/UCLvG0LEHQOx9gj2XfFCm/LzNzN2prGs7ob5mVT/YLDh2F/cSERiMs6aaj5/6s94mozBWEOHDiWpwmhF3S6NQAtScaqrQYfGTrD4Rss0Ve46BoQN4JdDfunrkgThrImw2krSA43bi1tqxFyWZyM6OhowphMSfEsJtBIysxfRvx2G/+gYMMm4c+uoeHcfxf/cRM2SHDxlnedD2K5du1i5ciUAF198MclJybgL66lfV0jZm3somr2JmkXZeIqdoEjYBkcQ+euhhN+chiVBrNzTHfQbG0NC/1A0r87G+SdO7m8ym7ns4f+HzRFIaXYmC59/Gl3TiI6OZrhifHg7QirVBFPvZ3yfObeXtfs1/FRv7HmDLSVbsJvs/HPCPzHLPz7IUBA6EhFWW8nooADAaFl1imVXz+hYS1d2dvYZnim0F1OwHyGXpxLz6HAc58Uj202oNW7qludR8u+tFP97C9ULs2jKrEbvoN/jBQUFzJ8/H4BhCQNJ2mWl8M/rKX1uO9XzM3EdqgIdLEmBBF+RSuwTIwm7ri+WGLECVXciSRJjruwJQNa2MuqrTryNHxwVzeWPPIliNpO5ZQO7li0BYGz/vkTUVqEjsYMMGqOPAhqe4gY8JR23oWJH6Y4TpqlKDEz0cUWC8NOIsNpKkm0W4qxmPLrO+mrRD/NMevToAUBubi4ej1imtiNRHBaCpqcQ87uRhF7fF78+ISCDt6yR+tUFlL+2m8I/b6Di/X00bClGrfPdoEJd11Hr3DQerKRg/j4+fOM9vF4vCWo4gw5H0HSwCr1JRbIoWHsFEzg1ieiHhxH5y8EEjIxBtovWpe4qPN5BbK9gNE1n25KjJ+2P69OPCbNuAWDNnHdx1tbQr18/kiuKAdhOBu4eXnTNuDvUuK/ipGN0BLXuWh5dZUxTdVHKRWKaKqFTEstVtBJJkpgcFsg7hRV8XVbDBWFihOWPiYiIICAggPr6evLy8lrCq9BxSCYZ+8AI7AMj0Bq9NB2uoulAJU0Hq9AaPDTuqaCxeTUgc4w/lkQHlgQHlsRATBG2Vp0OR3OrqNUu1KomvFVNeEqceIqdeEsa0JxevKgstGyjQW4iWPPnAssQ/PuEYkkOwpoShDnaH0kR0/MIJxo2PZn5h3dwaFMxo2b0wOJ34lvikKmXsHv5Uspzc/jurVe45Ne/JV1W2QzsZSAeq0KteylBfrfRtL+SwPM7Voulruv8Zf1fKGwoJC4gjidHiWmqhM5JhNVWdElEsBFWy2v4px6PIn4pnJYkSfTo0YNdu3aRnZ0twmoHJ9tM2AdFYB8Uga7peArqaTxQSdOBSjwF9XiKGvAUNRjTPgGy3YQSZkMJMKM4LMgOC4rDguIwI9tMaG4N3a2iezSjS4FHQ1d1dI+G1uhFa/CgNniMP6tdaA2nb33XJZ21/ocp89biZ7Yy6xeziOgZK96UhTOK6xtCcJSd6hIn+9YUtkxrdYysKEz75W94/3cPcnDdKoZfNpPzkxN4x+2m0WwnU08lxLKVIG7DnVeHWu9GCbD46GpOtjB7IYtzFmOSTDw14SkCLAG+LkkQfhYRVlvRqOAAQkwKFR4vG6sbGBMifjH8mJSUFHbt2kVWVhYXXHCBr8sRzpIkS0YLaoKDoClJqHVuXDm1uPPqcOfW4s6vR3N60Zx1tGYHD8mqYAqxogT7YYqyY46yY47yZ1Pmdg5/V4AkSVxz3S+I7BHXimcVujJZlki/MJHl7x1gx9JcBp4Xj2I+sXdcVI9U+owez8F1q1j25kucd8+DxK3dQVZEHAfoz6C4QyiNEmq1TtPBKvwzonx0NScqaShh9sbZANw9+G4GRQzycUWC8POJsNqKzLLE1PAg5hRXsrCsWoTVMzjWmlpYWEhjYyM2m83HFQk/h+KwYB8Yjn1gOAC6V8NT4jRu29e7UWvdaPVu1DoPWp0brdGLZJGRrAqSST75YVNQ/M3IzQ8lyIop2IpkM53UWnro0CG+/W4ZANOnTxct9MJP1mdENJsWZNNQ7WL/ukIGnBd/0nPOu/E2MrdupOjQAbyV5SQ01pEFHKYvnkQdpcyLWq3QdLhjhFVVU3l8zePUumvpH9af2wfe7uuSBOGciLDayi6KMMLqovIa/twrTnQF+BFBQUGEhYVRUVFBTk4O/fr183VJQiuQTDKWuACIa9sPa6WlpXz22WcAZGRkMHz48DY9n9A1KWaZoVMTWf3xYTZ9lU2v4VFYfzDwzhEaTtp5k9n5zUK2L57P8F7prAQO0xs1CNSao0AP3Nm1PrmGH3pzz5tsLt6MzWTjqQlPiWmqhE5PzAbQys4LdRBqVihyeVhS3rWWr2wLqanG5Ny7d+/2cSVCZ+J0Ovnoo49wu90kJSUxffp00UdV+NnSJsQREm2nsc7D7pWnnvt56HRjFH3m1k0MDbKjaCr1UiDFxNCkHwJZQq1x4a1qas/ST7KjdAf/2/E/AJ4Y+QRJgUlneIUgdHwirLYyqyxzQ0wYAK/ld/yJon0tPT0dgAMHDoilV4Wzoqoqn376KVVVVQQHB3PNNddgMombRMLPpygyQ6caoW7/2sJTrtwWGhtPSvow0HU8uVmE11UDkE1PmtwFxt0EwJXtu0aKH05TdVnPy3xWiyC0JhFW28AtceEoEqyvbmBPXedZ+ccXoqOjiY2NRdM0du7c6etyhE5gyZIlZGdnYzabufbaa/H3FxP6C+euZ0YkFj+F2vIm8g9VnfI5/cZNBKBozw7CPcZCAmVE4tJLsaQY0xW6c3zXFeCvG/4qpqkSuiQRVttArJ+FSyKCAXg9v9y3xXQCGRkZAGzduhVd75xr0QvtY+vWrWzatAmAK6+8smXZXkE4V2aLQq8RxvfToQ3Fp3xO8pAMJEmmIjeHuOZZA0qJwi1XYk0OAsB11Ddh9evsr/k6+2sUSeGfE/4ppqkSuhRx76yN3BkfwZel1XxeWsX/6xlLuEV8qU9nwIABLFmyhMrKSo4cOUKvXr18XZLQAeXk5LBw4UIAzj//fDEgT2h1fUZEsXdVAZnby5gwS8VsUU7YbwtwENunLwUH9hHtMfqmlhKF29qAOcoOgLeiEV3TkeT2a9UsbijmLxv+AsBdg+5icMTgdju34ANuJ9SXQH0pOMuNf3ucoLpB1wH9+J/D7wSl8+ePzn8FHVRGoJ3BDhs76xp5q6CMR1JifF1Sh2W1Whk6dCgbNmxg5cqVpKamittXwgmqqqr45JNP0DSNtLQ0JkyY4OuShC4oumcQjjA/6iqayNlVTq9hJ09DldB/IAUH9hFYWQrhyZQShWZyo4T4gUkCr45a1YQprH2m4tN0jSfWPEGdu46B4QO5c9Cd7XJeoQ1pKlQfhfLDUH7IeFRkQX2xEVBdP6H1PuMWEVaF05MkiXsTI7l771FezSvjjvgIQsziy306Y8eOZfPmzeTn54sVrYQTuFwu5syZg9PpJCYmhssvv1x8mBHahCRJ9B4exdbFR8ncWnrKsBqd2gcAS14m9B5BBWFourFYhjnSjqewAU9xQ7uF1Xf3vsum4k3YTDZmj58tpqnqbNxOKNoB+VugcBuUHYKKI6C6fvx1Jj8IiAL/CLD4g9kGihkk2XgggSQ1/73zE+mpDV0aEcxzASXsrW/if7ml/L+esb4uqcNyOBxkZGSwadMmli9fTkpKiggkApqm8fnnn1NSUoK/vz/XXnstFkvHWc5S6HqSB4ezdfFR8g5UoakasnLim31MLyOsugqOAqBLCmpzIDCF2/AUNuCtOkPQaCUHKg/w7PZnAXh0+KNimqrOoLEKctZC9irIXQcl+0BXT36eyQ/CUiG8t/EIS4XAGAiIhoBIsDqMMNpNiLDahmRJ4tGUGG7anc0b+WXcGhdOnJ94oz2dcePGsW3bNvLy8jhw4IDokyiwcuVKDhw4gKIoXHvttQQFBfm6JKGLi0wKxM/fTFODh+LsWmJTg0/Ybw8MIigyCldlZcs2d/NtVslkhFbdq7V5nS7VxeOrH8ereTk/4Xyu7HVlm59T+BlUL+Suh8PfGAG1aCfwg4HEjhiIy4D4YRA1AMJ7QVACyMopD9kdibDaxqaEBTIqyJ8NNQ38NbOQl9KSfV1ShxUYGMjo0aNZvXo1S5cupVevXmL+zG5s7969rFy5EoBLL72UhIQEH1ckdAeyLJHQP5TDm0vI3VtxUlgFiOnVl8r1a1r+7ZFN6LqOHGA0Rmh17jav83/b/8eR6iOE+oXyxzF/FHeiOhJdh6NrYfv7cGix0Zr6feG9IWUCJI+D+BEQFOebOjuRrtGZoQOTJIm/9IpDAj4vrWZjtZj4/seMGzcOf39/Kisr2bx5s6/LEXyksLCQzz//HIDRo0czZMgQ3xYkdCuJaaEA5O6tPOX+mNTeyNrx1lNVNoHXiynICKtqbduG1a0lW3l779sA/HH0Hwn1C23T8wlnyVUPm9+Al8bA2xfDzo+MoGoLhcGz4MrX4KEDcP9muPjfkHaFCKpnSTRbtYOBDjvXx4TxflEFvz2Uz5KM3vgp4nPCqVitViZNmsSCBQtYvnw5/fv3F7d+u5mGhgbmzJmD1+slNTWVKVOm+LokoZtJ7G+sQliWW0dDtQv/YOsJ+6NT+yChI+kauiTjlRR0VQVz23cDqHPX8cSaJ9DRmZE6g/MTz2+zcwlnqfwIbH4ddnxwfKS+2Q6DroGBV0PCqC4xIt+XRGJqJ4/3iCHCYuJgQxP/yC7ydTkdWnp6OvHx8bjdbhYtWiQWCuhGPB4Pn332GbW1tYSFhTFz5kxkWfyaEtqXPdBCVPOKVNm7Tl7YJTK5B7JiQtaNUKrKCpLVCscyahvOsfrXDX+loL6AuIA4Hh3+aJudRzgLR9fB+zPhhQzY+JIRVEN7wtTZ8NB+uPRZ41a/CKrnTLwLtJMwi4l/9zH63L2SV8a6KtEd4HRkWeayyy5DlmUOHjzI3r17fV2S0A6Ojfw/tpTq1Vdfjc3WPtP/CMIPpQwOByDnFGHVZLEQmZzS8m9dUow+o80frNtqQYAFmQtYlL0IRVL4x/h/iFWqfEHX4ci38OZ0eGu68Xck6D0dbpgL92+B0feCLdjXlXYpIqy2owvDg7g+JhQd+NWBo9R5TzFdhQBAZGQk48ePB2DRokXU14tw39WtWLGCffv2Icsys2bNEkupCj51bGBVZVHDKfcHJfc0+qoC/m6jj6quNd8FaoOsmleXx982/g2Aewbfw5DIIa1/EuH0NBX2fwWvnW+0puauA8UCGbfCr7bDrDmQOhnEnaA2Ib6q7exPqXEk+lnIb/Lw5OECX5fToY0fP56oqCicTifz588X3QG6sJ07d7Jq1SrAGPmfkpJyhlcIQtsKCPUDoKHadTyEfo851rhTJusq/q7mhoc26gbg0Tw8tuoxGjwNDI0cyp0DxSpV7aamAFb8E54ZBB9fD4XbwWSDUffBr3fCpc9AqPh91dZEWG1nASaF5/olIgFziiuZW3zq0aYCmEwmrrzyShRF4dChQ2zZssXXJQltIDc3l/nz5wPGbBDp6ek+rkgQwD/IgiRLaKpOXWXTSfvlKGORlwDqMatGsNVVI61KrTyA9uWdL7OrfBcOs4PZ42ejiPk325amwsHF8OG18MwAWPF3qM0Hv2AY9xA8uAem/R0CxUI/7UWEVR8YFRzAb5KMZfwePpjHvvpGH1fUcUVFRbWMBl+yZAllZWU+rkhoTRUVFXz00Ueoqkq/fv2YNGmSr0sSBABkRSYi0QFA4ZHqk/broZEA+FOPSbcb25q8xmv9Wi9Mbi3Zyuu7Xwfg96N/T2yACEhtpiYfls+GZwbCR7+AQ1+DrkHSWGPaqf87CJP/AP7hvq602xFh1UceTolmYoiDRk3ntj3Z1Hi8vi6pwxoxYgQ9e/bE6/XyySef4HK1z1KGQttqaGjggw8+oLGxkdjYWK644gox8l/oUOL7BANQcLDqpH0NZmNO1QDqMMvG9Hpak9EdQPJrndHfde46Hl/9OJqucXnPy5mWMq1Vjit8j+qFA4vgg2uMkLryH1BbYMyNOvp+uG8z3LrImIbK7Ofrarst8c7gI4ok8WJaEvF+ZnIa3dyxNwe31vZL9HVGsiwzY8YMAgICKCsr48svvxT9Vzs5t9vNRx99RGVlJUFBQVx33XVYLGIpYqFjiWkeZFV6tO6kfZXNA2QDqMdujwdAc3oAkG2tE1Znb5xNUUMR8QHxPD7y8VY5ptCsOhe++5txm3/OdXB4idGKmjweZr4B/3cApv4NInr7ulIBEVZ9KtRs4u0BKfgrMqur6vm/g3kihJ2Gw+HgmmuuQZZl9u3bx5o1a878IqFDUlWVzz77jPz8fPz8/LjhhhtwOBy+LksQThIa4w9AdYkTTT2xMSGzqgaAMMoJihwAgFpt3PUx/WARgZ9jcfZiFmQtQJZkZo+fjb/Z/5yP2e2pHmNE//tXGQOmVj0FdUVgD4Mxv4L7t8ItX8HAq8B07v+HQusRM9X62ACHnVfTkrlpdxafFleR6GfhkZQYX5fVISUmJnLxxRezYMECli1bRmhoKGlpab4uS/gJNE3jiy++4NChQ5hMJmbNmkVERISvyxKEU3KE+mGyyHjdGrXlTQRH2Vv25bncgEQ4pQTHXwiAt8oYiKWEnNvt4sL6Qv68/s8A3DHwDjFN1blyVsKWN2DT61BffHx7ynmQcQv0vViE0w5OhNUO4IKwQP7ZO4GHD+bx75wS/GSZB5oHYAknysjIoLi4mM2bNzNv3jz8/f1JTk72dVnCWdA0jQULFrB7925kWebqq68mMTHR12UJwmlJsoRiMsKq9oPpqwpcTYCNMK0Ca3QfdI+KVmd0AzCF/Pzg49W8PLb6Meo8dQyOGMwvB//yXC6he6vMgg0vwfb3weM0tvlHwJDrYehNENbTt/UJZ02E1Q7ihtgwilxu/p1Twt+yiqjxqjzRI8ZYFUU4wfTp06mrq+PAgQN89NFH3HbbbURFiXDfkWmaxsKFC9m+fTuSJDFz5kz69Onj67IE4Yw8zXOoWn4wwr9I1UEBh7Mexc8Pb6XRBUCyKkjn0Gf1td2vsb10O/5mf/4x/h+YZPE2/ZNoKuxfAFvfgqwVx7dHD4TRD0DaFWAS/eM7G9FntQN5JCWGJ3sa05K8kFvKo4fyUUUf1pPIsszMmTNJTEzE5XLx/vvvU1V18mhdoWPwer189tlnbN26FYDLL79cdN8QOgXVo6Gpxu9gs/V4WK30eKlSjC4BoVU1yIqCWtXcXzXE+rMbGbaXbuflnS8D8OSoJ4l3xJ9L+d1LYzVsfBWeS4dPb24OqhKkToGb5sPdq2HwL0RQ7aTER7YO5r7ESIJMCo8czOPdwgpqvCrP90vEIqb0OYHZbOa6667jzTffpKysjLfffptbbrmFkJAQX5cmfI/L5eLjjz8mKyur5UOGCKpCZ6F6jw+qUszHfwfvqTPmxo7Si7DUGW+j3spz669a667lsVWPoekal/a4lIt7XPxzy+5eCrfDptdg92egNk9raAuFYbcZt/pDknxbn9AqRFjtgG6IDcNhkrl/Xy5fllZT51V5fUAK9lZeFaWzs9ls3HjjjbzzzjtUVFSIwNrBOJ1OPvjgAwoKCjCbzVx77bX07Cn6iAmdx7FWVTAWCThmV53R/zGZbGg05lhVmwdXmX5GWNV1nb+s/wuFDYXEB8Tzu5G/O5eyuz6vG/Z9CZtegfzNx7dH9IXhdxh9Ui32079e6HRE+umgLo8M4Z2BKdhkie8q67h6xxGKXG5fl9XhBAYGcvPNNxMWFkZNTQ1vvfUWxcXFZ36h0Kaqq6t56623KCgowGazcfPNN4ugKnQ66rHpqiSQ5eO39ndWVwOQTBYmTzQAnnKjtVUJ/elhdUHWAhbnLEaRFP454Z8EWALOrfCuqrbQmBv1v2kw7w4jqMpmGHg13L4U7t0AI+4UQbULEmG1A5sUFsicwT0JMilsrXUyefMh1lfX+7qsDudYYA0PD6e2tpY333yTI0eO+LqsbuvIkSO88sorlJWV4XA4uPXWW4mPF33vhM7H07wilcV64uCqHZVGH/k4dyHx/cYC4C0xWlvN0T8tKBU3FDN742wA7h1yL4MiBp1TzV2OrsPRdfDJzfDfAcbcqA2l4IiB85+AB/fCzNchYQSIAcldlgirHdzI4ACWDOvNgAAbFR4vV+84wmt5ZWhi4NUJAgMDue2220hKSsLtdvPBBx+wadMmschCO9I0jRUrVvD+++/T2NhITEwMt99+O5GRkb4uTRB+lpaZAL43ur/eq5KH0XoaWl1FZFIKukfFW2G0rJqjzn7yfq/m5Yk1T1DvqWdQxCBuH3B7K1bfybkbYOvb8PI4eGs67PsCdBWSxsLVb8NvdsN5vwWHmAmmOxB9VjuBZJuV+UN78X8Hcvm8tJonjxSwuLyG//ZNINEmJjI+xm63c+ONN7JgwQJ27tzJokWLKCkpYfr06ZhM4lu9LTmdTubNm9fSop2RkcG0adMwm80+rkwQfr665kFTNsfxEeR7641QGqJXIJfoWNMD8JQ2gg6yvxnFcfajzZ/d9iybijdhM9n4y9i/oMjKmV/U1VVmweY3YPt70GSsEobJBoOuMW7xRw/0bX2CT4h38E7Crsi82D+JYUH+/DWzkLXV9UzcfJDf94zlptgwZHH7AwCTycSMGTOIiIjg22+/ZevWrZSWlnLVVVcRFBTk6/K6pIKCAj755BNqamowmUxcfPHFpKen+7osQThnVcUNAIR879b+thqjK1YKWTiLLPgHh+DJM55njjr7LgCLsxfz9t63AfjL2L/QI6hHK1XdCWkaZH5nDJg6vBRoviMWkgzD74T068EmBs52ZyKsdiKSJHF7fASTQgN58EAuG2oaeOxQPgvLqvlP30QS/MT8cWB8ncaNG0dUVBSfffYZeXl5vPjii1x88cUMGiT6g7UWVVVZu3YtK1euRFVVQkJC+MUvfkF0dLSvSxOEVlHd3A/1+2F1eV42YKO3dgCpLpDgqGiq1h4GwBx/dgOjDlYe5Pfrfg/AbQNuY2ry1NYtvLNorIYdH8Lm14wW1WNSp8CIuyB1MohpGwVEWO2UUuxW5qWn8kZ+OX/PKmR1VT0TNx3gDz1juTE2TKx61axXr17cddddzJs3j4KCAubNm8ehQ4e4+OKLsdlsvi6vUysoKGD+/PmUlJQA0KdPH2bMmCG+rkKXUl1i3PIPijTCqlfT2eKSQYaE2gICA4z+kq6cWgCsSYFnPGaNq4bfLP8Njd5GRseM5lfpv2qj6jsoXTdG8W99B/bOO74MqjUI0m+A4beLZVCFk4iw2knJksSdCRFcEGa0sm6saeC3h/L5rKSKP/SMJSPo7Dv5d2VhYWHcdtttrF69mpUrV7Jnzx6OHj3KjBkzxFRKP4Pb7Wb58uVs2LABXdex2WxMmzaNQYMGiQ9JQpdTU2YEqeDmsLqjzolTtmLX63HkOgmOikZt8OAtNZ5nOUNYVTWVR1c/Sn59PnEBcTw14anu009V9cChJbDhJTi65vj2yP5GX9SB14BVTNklnJoIq51cj5ZW1jJmZxWxqaaBi7cd5pKIIH7XI5YedjEAS1EUJk6cSGpqKvPmzaOyspL33nuPjIwMJk2ahL+/CPZnIzMzkwULFlDdPMfkwIEDmTp1KgEB4g1G6HrcTV4a6zwABEUYdwyWFhYCMJCd1OfaiL2gH+6jRquqKcKGEvDjXbH+t+N/rC1Yi5/ixzPnP0OwX3DbXUBHUZlltKLu+NCYcgpAsRhzow69WUw5JZwVEVa7AEWSuCshkksigvlXTjFziir5qqyGxeU1XB0dygOJUSK0AvHx8dxzzz0sXbqUzZs3s3XrVvbu3cvEiRMZPnw4itJNWjh+oqKiIr777jsOHzb65QUGBnLJJZfQu3dvH1cmCG2nKNMYiR4QYm2ZuuqbwgKQg+nnPoBa5iVpUDruPUZYPVOr6rdHv+W13a8B8Mcxf6RvaN82rN7HNA2ylsPGV+DwN7QMmPKPgMHXwch7ICjOpyUKnYsIq11IrJ+F//ZN5K74CP6SWch3lXV8VFTJx0WVXBoZzO1x4QwP8u/Wt2stFgsXX3wxAwYM4Ouvv6a4uJjFixezdetWpk2bJroGfE9ZWRnLly9n3759gDFwbfjw4VxwwQVYreLDj9C1FR6qBiCxfygARS43ByQjkMaVFmP29ycsPpGyhbsAsCafPqxmVmfyxJonALix/41c3OPiNqzch1x1sHOOEVIrDh/fnjoZMm6B3tNAEdPZCT+dCKtdUL8AGx8O7smWmgaeOVrCtxW1fFlazZel1QwIsHFbXDgzokKwK913lGVSUhJ33XUX27ZtY9myZZSVlfHee+/Rt29fJkyYQGxsrK9L9JnKykpWrlzJrl27WhZVGDhwIBMnTiQsLMzH1QlC+zg2bVVY8wj/eTlH0SWZ3vp+1MMm4nukotV7cOfWAWBNPvXUeHXuOn69/Nc4vU6GRw/noYyH2ucC2lNlltEXdcdH4Da+HlgcxoCpEXeKAVPCORNhtQsbFuTP+4N6sLe+kTfyy5hXUsWe+kYeOpjH748UcGF4EJdEBDExNLBbBldZlhk2bBhpaWmsWLGCTZs2ceDAAQ4cOEBycjJjx44lNTW1W7REa5pGdnY227ZtY//+/WiasSZ63759Of/884mKEqvECN1Ly7RVzStSzc3NBlMkQ13bcOVpBJ8fg3NbCWg6lgQHpvCTZ8LQdI3frf4dR2uPEu0fzdPnPY1J7kJvu8W7Yd3zsPtT0I3fGYSlwoi7Ych1YHX4tj6hy+hCPzXC6aQF2PhP30Se7BnLR0WVvF1QTm6Tm3klVcwrqcIqS4wJDuCCsEAmhjroabN2i4B2jM1mY/r06WRkZLBmzRr27NlDTk4OOTk5hIWFMXToUAYPHtwlBxLV1tayY8cOtm3b1jJwCqBnz55MmjSJuDjRr0zoflRVo6bUmLYqONpOTqOLfaZIJF0lqbAMtbGB4OgYnDvKALAPP/WHuVd2vsKK/BVYZAvPTHyGUL/QdruGNqPrkLkMVv0bctcd3546GUbfBykTxdyoQqsTYbUbCTGbuDcxknsSIthe62R+WTWLymrIa3KzvLKO5ZXG7ZtQs8IQh52hgf4MDbSTHmgnxNz1v1UiIyO58sorueCCC9iwYQNbt26loqKCpUuXsmzZMnr37s3AgQPp3bt3p15GtKmpiaysLHbu3MmhQ4dabvVbrVYGDRrE0KFDiYmJ8XGVguA7NaWNaJqOyaoQEGLlibWrgCAGsBstJxCJckLs0XiKGkCWsKWFn3SMlXkreXHniwA8OfpJ0sLT2vkqWpnXDfvnw4YXoWCrsU02Qb/LYOyvIFasWie0na6fQISTyJJERpA/GUH+/LFnLIedLpZV1PJtRS1bahuo9Kh8V1nHd83hFaCnzUq/AD962v3oabfS02alp91KcBcMsUFBQUydOpWJEyeyd+9etm3bRn5+fksXAYvFQt++fRkwYADJyclYLB175TBVVSkoKCArK4vs7Gzy8vJabvMDJCQkkJGRQf/+/Tv8tQhCe2hZZjXKTonbyzy3HSQYX7keT1EDZsBRH0QjjVhTg1H8T/zwmlOTw2OrHwPg2j7XMiN1RjtfQStqrIZNr8Lm16HeWAQEkx8Mux3G3A+B3bd/v9B+ul7SEH4SSZLo7e9Hb38/fpkYiVvT2FvfxLbaBrbXOtla20B2o5vMRheZjS6g5oTXh5oVetisRFvNhJlNhFtMhFvMhJtNhJgVLJKESZJQZAkFY5otU/MjpYNPp2W1Whk6dChDhw6lpKSE3bt3s3v3bmpqati1axe7du1CURQSExPp0aMHPXv2JDo6GtmHt8B0XaeqqorCwkIKCwspKCigqKgIt9t9wvPCwsLo3bs36enpREZG+qhaQeiY8g9UAcbgqv/s2IJXstFH30dATgBafRFBUdF4DxpTVtkHndiqWtFYwX3L7qPeU8/QyKH8dvhv273+VlG6H7a8ZYzudzX/3g+IgmG3Qcat4BD92IX2I8KqcAKLLJPefOv/mEqPlx21Tg47m8h0ushyGsG1yOWh0qNSeWy5vJ/AJEH+xCGtWHnbioqKIioqikmTJpGfn8/u3bs5ePAgtbW1ZGdnk52dzbJly7DZbCQnJxMdHU1kZCRRUVEEBwe3eoB1u91UVlZSWVlJRUVFy6OsrIympqaTnm+z2UhJSSElJYWePXsSGtoF+s4JQhvwelQObzZaEMOGhjGnpA5kmFSzkhC/NCr1gyQnDMZT7ARFwtb/+AwZ9e56fvntL8mtyyUuII5/T/w35s40VZOmQeZ3sPppyF1/fHtEXxj/MPS/HEzi7ovQ/kRYFc4o1GxiUlggk8JOnEewwauS1egiu9FNmdtDudtLhcfb8melx4tX1/HqoOo66vf+rnTSAVyyLJOYmEhiYiIXXXQRFRUVZGZmttxib2xsZP/+/ezfv7/lNWazmcjISMLCwnA4HDgcDgICAnA4HPj5+WEymTCZTEiShKqqqKqK1+ulsbERp9PZ8qirq2sJpbW1taetUVEUoqKiiI2NJS4ujtjYWCIiInza4isInUXBwWpcTi/+wVbmuvJwyxZ66IexZ5qxqcbPXYLFWBDD1jcU2W6EUbfq5jfLf8P+yv2E+oXyypRXCLed3Je1Q6ovhR0fGCtNVWUb2yQF+kw3WlJ7nC8GTQk+JcKq8LP5mxQGOuwMdNjP/OQuSJIkwsPDCQ8PZ+TIkS19Q/Py8igpKaG0tJSysjI8Hg8FBQUUFBS06vn9/PwIDw8nNDSUsLCwlkdERAQmk/jRFoSfI3dfBQBhA0P5U3UtyApT6pcRFzuB6lWLscg2/MuN33n24dEAqJrKY6sfY2PxRuwmOy9OfpGkwCSfXcNZ0TTIXgFb34YDC0HzGtstDhh6I4x5QPRHFToM8Y4mCK3kWP/VxMTElm2qqlJZWUlJSQlVVVXU19dTV1fX8qfL5cLr9eL1etF1HZPJhKIoKIqCzWbDbrdjt9vx9/fHbrefEErt9u75IUEQ2oqu6+TurQRgVWQFjXIAiXo2QZkS6ef3ZdGXHzI0fDJ4wBzjj1/vEHRdZ/am2Sw9uhSzbObZSc+SFtaBR/7XlcCO941W1Oqjx7fHDzdWmUq7Aiz+PitPEE5FhFVBaEOKohAREUFERISvSxEE4QwKD1VTXeLEa5OZ13zb+4K65URHjaexKB+74qCnw5iiKWhaMpIs8dKOl/j44MdISMweP5tRMaN8eQmnd3SdMe3Uwa+Pt6Jag2DwL2DozRA9wLf1CcKPEGFVEARBEICd3+UBsHu8iwY5mFg9j5BDMuffcD7LX3iaASHjkZGx9gjC2juEjw983DKX6u9G/o6pyVN9Wf7J6kuN2/x75kHZ8X70JIw0WlH7zwCLuEMjdHwirAqCIAjdXn2Vi5xd5VQGwOJgY7aM6VXfMmTwxbhKi2g4WkFy3GUABE5L5puj3/C3jX8D4J7B93Bt32t9VvtJCrfDxldhz2egNk9bp1hgyPUw8m6I7Ofb+gThJxJhVRAEQej29q8rRNdh3TgnXimUAdpOgjIDGHffWD778+Okh12AJMn4pYWxw7yfx799HB2da3pfw72D7/V1+aB6YP8C2PgK5G04vj1+OAy/A3pPBVuI7+oThHMgwqogCILQralejX1rCjka52Z7UDyyrjIxbxNjx86iYN8u7GV+REcmg0micozOr5f/Go/mYUrSFH438ndIvpyKr6Ectr4Fm9+EukJjm2w2BkqNvBvih/muNkFoJSKsCoIgCN3ajm9zqa5xsWSiMWfqBM9KIl0DGDVyJJ/9/gkywiYZTxwXzL3bfk2Dp4FhUcOYPX42iqz4puiinUYr6u7PQHUZ2/wjjXlRh90Kjmjf1CUIbUCEVUEQBKHbqq9qYsvCHDYPr6XEkkyQXsXgfflcPutRDqxdSUxNIn4Of7RQhV/W/ZYSZwkpQSk8c/4zWJV2XjL62K3+Ta+euMJU7FAY9cvmFaY69jLWgvBziLAqCIIgdFt7VhZQHNjEiqQ4AC6uXMLo9MsIdjhY+8l3jHBMQ0fnqcg3yXXmkehI5LUprxFkDWq/IhvKjVH9m9/43q1+U/Ot/nvErX6hyxNhVRAEQeiWGmpcbF9VwIILJbySmUHeHaSWRjNuxjg2vPcBg+wTAPgmcgMrpY0kOBJ4Y+obRPlHtX1xmgpHvoXt78HBxaB5jO3+Ecat/oxbITCm7esQhA5AhFVBEAShW1r72RFWDy0h39qLAL2Ocfv2cPlVD1JdXIhth4yfzU6huYT/hXxEfEA8b059k2j/Nu4LWlsEOz+ELW9DTe7x7bHpRitq2hXiVr/Q7YiwKgiCIHQ7eQcq+bb8CN+N6AXAJaWLGd1/KrGxsaz/w1sk2nrh0d38IeFlIgOj2jaoqh44uAi2v2+0puqasd0WAoNnwZBZYoUpoVsTYVUQBEHoVlSPxpfzdjFvpDH5/7im1fQojWDizIns/fhr4l09QYLXwz7DERPKCxe8QKQ9svULqSsx+qJueRPqi49vTxwNQ28yWlHNttY/ryB0MiKsCoIgCN2Gruss/WAvH6XXUy/Hk6jlMHB7IZdffw+V+7Px2yojKzJblG1UpUu8PfFt7OZWXJJU1yF/izGif+/n3+uLGgnpNxirTIWntt75BKELEGFVEARB6Da2f3uUF4P2kenXB5vewLQD6xg74kIciomid7cTZAqjRC3k4MUNPDf2OUxyK71Neppg7zwjpBZuP749fjiMuLt52ilL65xLELoYEVYFQRCEbiH/YCX/rVjNpqiBSLrKFXlfk2jtTdrQfhz++3fEmZJpUGs5eGkDvx33eOusTFVbBJtfM273OyuMbYoVBsyEEXdC3NBzP4cgdHEirAqCIAhdXn11E/9v+wKWRg0G4JLyb+jljGPwRYPY+PQnDDMNw6u5yZvqYtaE2879hIXbj68wdexWf2A8DL8Nht4M/uHnfg5B6CZEWBUEQRC6NI9b5cElH7E4Kh2AiyqWMLQimKAxQex98xsma+cBUJ7uZPLkK3/+ibxu2D/fCKn5m45vTxxtrDDV52JQxNuuIPxU4qdGEARB6LJ0TedXX7zNgsgMAKZXfENGaQCFfQsInlfPZJcRVIsjChh23bU/7ySeRtj2Lqx9FmoLjG2yGdJmwMhfQnxGK1yJIHRfIqwKgiAIXZKqqtz9xXt8FWGExamV3zKwyMTC0IXcuWI6w91D0HSN/OAsRv3mpp9+gopMY27U7e9BQ5mxLSDq+ApTjnZY6UoQugERVgVBEIQux+1u5NavP2RZ6LEW1aX0yvfwuWMhvztwMwM9/VB1ldyQI4x95FZkRTm7A3vdsO9LY8DU0TXHtwclwrjfGFNPmf1a/XoEoTsTYVUQBEHoUupryrhxzXzWB2Yg6RqXlX1NVJ6LpYEr+Wv2PfT0JuPVPOSEHmLCI3eeXVAt3AGbXzf6pDbVGNskGXpeYMyP2vdiUMxtel2C0F2JsCoIgiB0GeUF+7h+9xZ22jNQdC+X5y/Bv6Sag/6HeTb7/wjVQ3CrTWSHHWTiw/f8eFD1NMK++UZI/f6AqYBo41Z/+g0QFNf2FyUI3ZwIq4IgCEKXsHXzV9xb4+WodRAWvYnLjixHrywkRY/hV7kPISFR56kkNyqLyQ89gGI6zVtg4Q6jH+quT8HV3Ioqm42J+4fdaozul8+y24AgCOdMhFVBEAShU1PdLp5f+F+eDRpPo+KPQ69l+r51uBuOclXjGPq6UgDIqduDPDqQKbN+hfzDsOl2ws6PjL6oxbuObw9OhPSbYOhNYsCUIPiICKuCIAhCp5V3eCu/OrSV9cHTAOjhyWTCjr3UUci9tRcTqgbjUhvZXL2YjDuuotfIMcdfrGlQuA32LzBaUltWmLJAv0uNgJo8AWTZB1cmCMIxIqwKgiAInY6u63zy9Uv80dqXKvsIFN3LhPL19NxXTpN/BQ9X/gKzbqLWXcFObRVTfv9rwhOSjBc7K40W1M1vQG3+8YMGJ8HIe2DwtWAP9cl1CYJwMhFWBUEQhE4l98AG/nBoA187JgIQpRYz6cBWbJWNjJCTGVoxGYDixhwKonK44ld/xi8gAEoPwMaXYOfH4G00DmZxQOoFkHYF9L1ErDAlCB2Q+KkUBEEQOgVXXSXPLX2F14LHUNscVEfWbWLAjmJCZZmrnJNRUPBqHvbXbMAxMZ5Lr34MOWs5bHgRspYfP1j0IGMJ1LQrxbyogtDBibAqCIIgdGia18s337zI30zRHA6ZDkC0WsS4wzuJLlaZxhCinSEAFDqPkG3Zz/BbL6KHfBheGgUVR4wDSbIxH+rIX0LSGJAkX12SIAg/gQirgiAIQoek6zoblr/F000u1tomAOCnNzKuZBO9DtQzXEtmoCcBCYkGbw2769eQdlFfrtEakJZdBx6ncSBroDFYasSdEJLsuwsSBOFnEWFVEARB6FA0VWX76g/4b10V3/mPQ7MpSLrG4IbdDNl7lP510YxVB2LFTJPawOHabZQr+7mk91FCtr10/EDhfWD4HTDkOrA6fHdBgiCcExFWBUEQhA7BU1fF3BVvMMfkYLM1AzXAeIvq23iAIQez6V8eyFhtJEG6HY/mYnfNKg7VbCEtOJdrw7Mw12qgWCFtBmTcComjxK1+QegCRFgVBEEQfKax9ChrNs/lC5fGqqCBlAVMbtmX6jpC+pEj9CvxY5R3IJF6EKru5WDtZvZVryfMUsK1SZlE2eohdigM+gUMukZMOyUIXUybh9UXX3yRf/3rXxQVFZGWlsYzzzzD+PHjT/v8lStX8tBDD7F3715iY2P57W9/yz333NPWZQqCIAjtpPbobhZt+4JvZYUtjiEU2yeB3djnpzcyuHYvqZmVDKl20EvtS5wWildzc6huC/kNa4m3ZzIttobUnjFIgx42pp0SfVEFoctq07D68ccf85vf/IYXX3yRsWPH8sorrzB9+nT27dtHYmLiSc/Pzs7moosu4s477+T9999n7dq13HvvvURERDBz5sy2LFUQBEFoI7qmkbd7FV8dWcUKazDb7YOpC760Zb+ie+nTdIg+ZUfpmWNikDueVLUnig7Fzmw2OTdQ597FsMRqJk7NQE65yrjFLwKqIHQLkq7relsdfOTIkQwdOpSXXjre4b1fv37MmDGD2bNnn/T8Rx99lPnz57N///6Wbffccw87d+5k/fr1Z3XO2tpagoKCqKmpITAw8NwvQhAEQfjJ6kpK+W7rtyxzlrDVkUCWOQVdUlr22/UGetVn0auonjGFduI9/jh0G8GqleLGbPIaDlHkzMRu1xg5diBpl9+CEt7Th1d0ZpqmUetWqXZ7afCoaLqOpkO9x0uVy0u1W6XK5aHa7aXOo1Kvarg1DV0HVdepVzWcqgaARZawSBKKfGKfW1XTadQ0GjUdl6YhScbzzJLxGpMkISMhA0rzMbzoNKoaTaqOU9Nwahre5uPpGOfWAC86HsArgVcGTZLQJeB7JUgamDQdiwZy8y4FCRNgkow/rZJEoKIQbFYIMpuwyBJ+ioS/ouBvUlBkiUCzQpy/lUHhAUTbrW37HyN0SD8lr7VZy6rb7Wbr1q089thjJ2y/8MILWbdu3Slfs379ei688MITtk2dOpU33ngDj8eD2Ww+6TUulwuXy9Xy79ra2laoXhAEQTidN176F2+m9viRZzS3gZgsEBgPuk4PTxYgoekmdN2MSTWjqikcDlLZG+DEq7nQ9CZMWj1Bqp1QZSR+4ZejOsJYq4O6x42m70PDCGzaKc5qU2RCzAoNXiOQOVWVJs0IjMdIgCIZFbp1HY9mBDSPrqN+r+1GkkBCQkfHpYMbHa8EmtRydUjNV6pJoMkSuiKBfA4DuuTmx096js7xik7h2K4TXvfDGs++Zh1wNz9+nGo8PGd4Zibg1ZAwgrBZ1bHqYEXCJknEWszE+1lIsFuxm2T8TTLjY4JJCbRhUs70xep+VFWjuLYJt6rjVTWcXpVil4cCl4cyjxe3V8Pt1ah1eyls8lDi9VKrqTTqoEs6ug4PJ0dzd1qcry/lBG0WVsvLy1FVlaioqBO2R0VFUVxcfMrXFBcXn/L5Xq+X8vJyYmJiTnrN7Nmz+dOf/tR6hQuCIAg/qtHdSKapNVs5g06/S3OdvO10GeVYkjpGaX6clR80IZ6w/WfQ9eNBUdORNZA1HZMOFh3MSFgko1XSCNASfpKErTnsunUdj26EhxOqOfY8RcJPktExgrZb03HrOl5dNwI0OqpuREYZo7XTKkv4KzIORcGqyC1XbGpukbWbZAJMCg6zQqjVTIjFhEWRMTK4hKbr1LlVSprclDV58Gg6Xk3HrRutti5Vo0nTaFQ1qr0qNapGk66h6uDFaLn1Nod9VQKPIqGbZTDJLZHb1fw4JhcveLxQ4zy+saTM+Jp6dRRNx65BiKQQblaIspiJs1mIsVuMa7CaiLJZiAuwEm6z/Lz/Sx/zqhorC6tZWVRNU3PLuxedfKebYo8Xt6bjQacGjQazhG6SQdON70FZOv2MGC0/Hyf+QBU5z/xRpL21+QAr6QdfJF3XT9p2puefavsxjz/+OA899FDLv2tra0lISPi55QqCIAhn0K/vYG45vPC0+yVJwir5YZGsOGUPNbITDR1J0jCZXVhNLvwstZgDnKiSCb05EOqqRE1jHCWeHpTp0bjwx6tY0axmJCRkqbmBUJJabkEfo4Nxe1zXsTQHOj9Zxk+WjJbU5tCncfzvxu1p2QhyiozSfFwwQt6x96sgs0yQ2USQ2YSfImFW5JZjSFJzi67VTKTNTITdQrDFhJ/prFNyt1bqdHGwyonaHITznS7KmjxUur1UuL3kNbmpUlXqJaM13S2DalVAltAsEhpQ0/zIQQVNhYYmaDj5XJJHw+LVselgw/h/DzYZ4T3AJGNTFAIUmSibmVi7lXh/Kz2CbETYLJgkkOXWacl1qxqZNY0cqXaS1+Aiq74JZ3OXEK+mU+b2kuPxUC/peBQJzXSaFnsZaOlBYXTIOL7v+IcvSdMxuY1rVyTj58gsSwTLCpGKiRiriRCrCYssI0kSlyaGtcp1tqY2C6vh4eEoinJSK2ppaelJrafHREdHn/L5JpOJsLBTf/GsVitWq+jvIgiC0F4umHo5F3D5GZ+nazoV+3MpWbmesuJqCjSdo0oFbskE+IPJRXhQERFBuQSGF2D280DAycfxOmMIDhpDSp/JhISMwmwW4xG6iki7lcif2GfV6VHJrm3kaF0T5U0e9tU0kN/opsTlpUpVqdM1miRQZVC/1z1DN8u4zEbLbXXL0TTj0fwHHqAJqDrFiTUdSdORmvugKM0t5eYftH63tBLL4DHLyJqOrOooutGarJl/pLUTwAyYfxCMVR2HS8NyLIACQbJMtMWEv6JglSXibBZGRQYyKCIQWZHw6DpWSSLcYkLu5PMNt1lYtVgsZGRksHTpUq644oqW7UuXLuXyy0/9S2706NEsWLDghG3ffPMNw4YNO2V/VUEQBKHjkmSJ8LQkwtOSAFBrashf/B25Bwop8Cjk6VWUVVgpq0iGLB2brY7AgDIcfoU4AsqxORpR/FRM9iLqPXPZvWcuIOHv34eQkOFEhE8hJGQUkiRaMbsTu1khLSyAtLBTfLI5BU3TKHa62VPZQHZtIzkNLqrdXupVjQq3l3rN6L7g1o3+y42SjlsGryKB6XuhUZbQZel47w6MbNt4pvMrEpqZlkFtAOg6skfHrOr46xLW5i4hJknCX5bo52+jf5CdOH8LCQF+9A/179at9W06G8DHH3/MjTfeyMsvv8zo0aN59dVXee2119i7dy9JSUk8/vjjFBQU8O677wLG1FUDBgzg7rvv5s4772T9+vXcc889fPTRR2c9dZWYDUAQBKHj0xubKP1uFfnbs8hvkimQ66mSGvBIastzZLcLW0MBMeYy/HqG4B+bjcVResJxLJZIIiOnERl5EcFBGUiSGHQjtJ7KRg/VLg8uTafRq9LgUanzqKiaTo1HpcLloc5jxFBdP95gqkgS0TYLqYE26j0qFS4vtW4vMXYLvYPt9AyydevwCT8tr7VpWAVjUYCnnnqKoqIiBgwYwH//+18mTJgAwC233EJOTg4rVqxoef7KlSt58MEHWxYFePTRR3/SogAirAqCIHQuuq5TvvcQFYvW4qwKIEup45BShFtqbovSNMw15YQVO7EEZ2BKaMQetZ/A+C0o1uMDb/z84omNuYqY2Kvxs0b76GoEQTgbHSqstjcRVgVBEDovtaGB/Llfox1QyZZgr5JPhVzXsl+pryYpKw9/70CK40bjH72P4ORtBCbsRG8eVSNJCmFh5xMXdx1hoeNFNwFB6IBEWBVhVRAEoVPTNY2C+UvQNtVTqlvZbcrjqFzWMgWAX30tg3cepTziYmoDk5EUFwOn52KLWU5NzeaW4/j5JZCQcDOxMVdhMjl8dDWCIPyQCKsirAqCIHQJukcl9+MvUfYq1GJjr5LHASUfVTLeuuKKiwkpCaMk6gIAImIsDJ3hh2b7mqLiz/F6awBQFH9iYq4iIf4m7PZkX12OIAjNRFgVYVUQBKFL0RqbyHrjU/zyY2hAZ4spk8NKMUgg6RqJubU4zZNBtgMQ3zuISbemUutcRG7e2zidR5qPJBEePomE+FsICRn9o/N+C4LQdkRYFWFVEAShS6rLPkrZu99haUylXKplrbKfMlM9AFavSnSeTqNlLLpixT9A5qIHhhKR6KCycg15+W9RUbGy5VgB/n2IjbuWiPDJ+PnF+uqSBKFbEmFVhFVBEIQuLf/rZegra4EwsqVS1ip7cZmMt7Pwmgas1QNxW+ORZZ3zb+pP31HGct0NDVnk5b9DUdFcNO34DJlBgekkJN5OZMSFYkCWILQDEVZFWBUEQejyXNXV5D3/OX4NqahobNL3sNdaArKMWdMIKwrAq2QgITHw/HjGXpWKohjzsHo8NRQVzaW0bAk1NVuheap3P784YmKuJjZmpmhtFYQ2JMKqCKuCIAjdRtac+Zh3WJDwp1KvYZGyiSaLEUr961TMrmGYvQ5ikuxMv38oNoflhNe7XGXkF7xPfv77eL3VzVslwkLHExN7DRHhFyDLJ75GEIRzI8KqCKuCIAjdSm1WDhVvrMasJqOhsdSzipxAF4puAl0noCYBv6YU/P10LnloJBGJJ09jpapNlJUtoaDwY6qrN7ZsN5tDiYv9BXFxs0RrqyC0EhFWRVgVBEHodjSvlyP/fg171QAA9jm3syB6H2FuYzUre30AtoZBWCWJyx4ZQXRK0GmP5XTmUFj0GUVFc3G7jy3xKhMefj6RkRcRFTkdWba29SUJQpclwqoIq4IgCN3WgZfexj8nGUlSyG/K5PmERfRuSEPXdMwuEwG1Q7BpZi5/ZCRRPYJ/9Fia5qW8/Fvy8t89qbU1JvoKYmOvwd8/tY2vSBC6HhFWRVgVBEHo1vbNmYf/tiAU2UK5t5g/JL3FCOdYPI0eJFUioK4PAU1BXPHISCJ7hp7VMesbDlNaspDCok9xuYpbtgcGppOYcAuRkdPFTAKCcJZEWBVhVRAEodvbM38Jfqs1/JQAytQSHu75Py7SL6GupA4AS1MYodXJXPF/o4nqFX7Wx9U0LxWVKyks/ISKiuXougqA3Z5CUuLdREVdhqKILgKC8GNEWBVhVRAEQQB2frUE+woVm8lBiV7Mg6nPcEP4zRTvKkLTdRSvH6FVqVzz4AQiUiN/8vFdrjIKCj8iL+/tlqVdzeZQYmN/QbwYkCUIpyXCqgirgiAIQrMtH88laLMdmymAQqmQ/0t9lvsH/pr873Koa2oETSa8Op7b/3QNtpCAn3UOr7eegoIPyct/F5erCABJUoiImEpiwu0EBQ1pxSsShM5PhFURVgVBEITvWfnKG8QejsVmCuCoqYBHU57j4dG/peK7QvLKjdH+4c5g7v7bfZjN5p99HmNA1jLy8t85YUBWYGA6CfE3ERk5TczZKgiIsCrCqiAIgnACXdf56i+z6Vubjs0UwGFrDo8lP8cfJ/wZ59ISdhfnABCCjbse/RU2m+2cz1lXf4C83DcpLpmPrnsAsFjCiYu9jri467Bao875HILQWYmwKsKqIAiC8APupkY+e+R3jPSbhlWxs9W+j38kv8l7l37AnlfWs9OZgy6rBJps3Hb/3QQHB7fKeY1+rXMoKPiwZc5WSTIRETGVhPibCArKQJKkVjmXIHQWIqyKsCoIgiCcQkVBHgufnM2E8JmYZAtfhizn277b+ejij/jqdx+zz1qAprixW6zMuulG4uPjW+3cmuahrGwJefnvUVOzpWV7QEB/EuJvIirqEhTl3Ft0BaEzEGFVhFVBEAThNHL37GLtv99kfNRMAP4c/wr9Rw/j/gH38f6Dc8kLyUM1N2Aymbjqqqvo27dvq9dQV7eX/Pz3KS75Ek1zAaAoAURFXUJszFUEBg4Rra1ClybCqgirgiAIwo/45pXnkbe76Bs8kjrZya97/IP/XvEC0dURfPzUZqpDMnH7VQJw0UUXMWLEiDapw+OporDwU/ILPqSpKa9lu79/b+LjbiA6+nJMpp83Q4EgdGQirIqwKgiCIPyIxvo63vr1PYx1XEaYXywH/LJ5ZfB8PrzsI7a/v41N6+tx+u/D6agAYPr06YwcObLN6tF1jarqjRQVfUZp6WI0rQkAWbYRGTGVmJgrCQkZjSTJbVaDILSnn5LXxHe9IAiC0O3YAhycd9NtrCv7ErfaSN+mFNIze/DGnjfIuH44gVYP9ob+RBcb7Tlff/01mzZtarN6JEkmNGQ0af3/zbix6+nd60ns9p5oWiPFJV+wfcdNrFs/idzcN/F669qsDkHoiERYFQRBELql/hMmEdQjlq0VSwGYVX4R32xcQHZdFufdkYGEhKqNpXe5EQ4XLVrE5s2b27wuszmQhIRbGDVyCcMyPiMubhYmUyBNTXkcPvI31qwdy8FDf8TpzG7zWgShIxBhVRAEQeiWJEki46LLyW3YT37DQUwo/KbgBv64+vfEp4WS1CcAZBN6aQrpAUa/0YULF7Jly5YzHLn16gsKSqdvn78wbuw6+vb5K/7+vVDVBvLz32P9hsns2HkHFZVr6GI9+gThBCKsCoIgCN1Wr5FjiEzpyZbyb/Bo9fRwxZN6JIr397/P+BsGIss61aH9CVuwmZEDBwJGYD1w4EC71qkoNuLirmPkiK9JH/Iu4WGTAKioWM6OHTezcdN08gs+RFUb27UuQWgPIqwKgiAI3ZYsK0y54z5ceiPbKlYCcEPZxXy04V2qraUMOC8BgNzo80j7ZilDhw5F13U+++wz8vLyfuzQbUKSJEJDxzJ48GuMHvUt8fE3oSj+NDQc5uDBJ1mzdhxHjjxFU1Nhu9cmCG1FhFVBEAShW4tO7U3y4KHk1O+hxnsUP93KrcUz+NuGvzF4cgKSDFUhfcnbWcR4s4XU1FS8Xi8ffvghZWVlPqvbbk+hT+8/MG7sWnr1+n/Y/BLxeqs5mvsK69ZPZPeeB6iu3iK6CAidngirgiAIQrc3aPI0ADZUrUbHy9i6IXgP13LIs5cB5xmrWGX2nEHZU09x1aWXEhcXR2NjI++99x41NTW+LB2TyUFiwq2MHv0tgwa+TEjwKHRdpbR0EVu3/YJNmy8lO/sF3O4Kn9YpCD+XCKuCIAhCt9cjfTj+IaFU1xeQo+0B4PaSK3h641MMmRaHySJT50iirNFB3TvvMGvWLMLCwqitreW9997D6XT6+ApAkhQiIqYwdOgHjBixkNiYa5BlC/X1+8nK/i9r101g3/7HqKnZIVpbhU5FhFVBEASh21NMJgZdYLSuHvQcQaeOJHcscTkhLCj8gt4jowEoi0in8u138PN4uPHGG3E4HJSXl/Phhx/idrt9eQkncAT0pV+/2Ywds5Z+ff+BwzEQTWuiqOhTtmydyabNl5CX/x4eT62vSxWEMxIrWAlCO3KpLsobyylzllHeWE6duw636salutDRMckmLIoFi2whyBpEsDWYEL8QQvxCcJgdYq1wQWhDztoaXr33FlSPh0F9ptHPPZhyUzWPpT3Pc33fZukrB7B7qxi15v8Rfu+9RPzqAUpLS3nzzTdpamoiNTWV6667DkVRfH0pJ9F1nZrabRQUfERp6SI0zQWALPsRFXkxcXHXEhiYLn7HCO1GLLcqwqrgYxWNFRyuPsyhykPGn1WHyK/Lp9b981sxzLKZREciyUHJJAcmt/yZEpRCkDWoFasXhO5r7uw/kLNjKwmTZzI6MxiJcF6PnEfqpOHUvhqDrumMWf//sFtVUpd9i+JwkJeXxzvvvIPX62XQoEHMmDEDWe64Ny49nhqKi7+goHAODQ2HWrb7+/ciLvZaoqOvwGwWv1OEtiXCqgirPtPoVimvd1HR4KbK6car6qia8fBqWsvfAa4eluDjaluHruvk1uWyvnA9G4o2sL10O5VNlad9vkW2EGGPIMwWRqAlED/FD4tiQZZkPJoHj+rBpbqocdVQ5aqi2lVNg6fhR2sI9Qs9IcCmhaUxIHwAdrO9tS9XELq0rQu/ZMW7r5E0cAiKnsDwhv5UKjX8duBz3Jb9V8qO1jO4/CvC9nxN5COPEHb7bQAcOnSIjz76CF3XGT16NBdeeGGHb6XUdZ3a2h0UFM6hpOQrNK0JMAZsxcXOIi7uWmy2RB9XKXRVIqyKsNpmnG4v2eUNxqOsgazyBnIqGoyAWu/G6VbP6jgWRebQ36a3cbVtp9Zdy7qCdWwo2sD6wvUUNpw4p6GERGJgIr2Ce9ErpBe9Q3qTHJhMhD2CQEvgT34Tc6kuypxlHK09Sk5tDtk12eTU5pBTk0OJs+SUr1EkhT6hfUiPTGdI5BDSI9KJ8o/62dcsCN1BZWE+bz14D7Ki0Pf+vzFg/hEkwngh+iP62S6nfruZvvFOYt9/BL/+/UmZN7fltTt37uTzzz8HYPLkyYwbN85Xl/GTeTy1lJTMJ7/gfRoaDrdsDw0dT0LCLYSFntfhw7fQuYiwKsJqqyirc7Ejr5odeVXsyq/hcEk9xbVNZ3ydxSQTEWAl2G7GrMiYZAnlew+TLGFSZF67aVg7XEXrafI2sTJ/JYuyFrG6YDUezdOyzySbSI9MZ1TMKEZEj6B3SO92a9V0epwtwTWnNofM6kx2lu08ZYhNdCRyXsJ5TIyfSHpUOmbZ3C41CkJn8sHvHqQ48zDn3Xg7pVuLGdQ4gGJzOXPi9pCyYywxyf70e+92UFV6Lv0GS8Lxu0Tr1q3jm2++AeCqq65iwIABvrqMn0XXNcrLvyW/4EMqK9cARkRwOAaQEH8zUVEXI8tW3xYpdAkirIqw+pPpus6+olo2ZFWyPbeKHXnV5Fedetm+UH8LKeH+JzyiAv0ID7AQFmDF36J0mU/guq6zvXQ78w7PY+nRpTi9x6enSQlKYXzceEbFjCIjKqPD3XIvqi9iR9kOtpduZ0fpDg5WHUTTtZb9DouD8XHjmZI0hXFx4/Az+fmwWkHoOI51BUhJH4bfpBsYMO8AMkH8L+xz4jMvwWRVmFr7Do3r1xPxfw8RfuedJ7x+yZIlrF+/HrPZzO233050dLSPruTcNDbmkp//PvkFH7R0ETCbQ4mPv5GE+Fswm8V7rPDzibAqwupZcbq9rDpUxvIDZaw4VEpJreuE/ZIEqREBDEkIZkhiMP1iAukR7k+w3eKjittPrbuWeYfmMffwXHJqc1q2x/rHMj1lOtNTptM7pHenCuX17no2FG1gRd4KVuWvospV1bIvxBrCL/r+gl/0+QXhtnDfFSkIHUDe3l188uffERQZxa3Pvs6KP71IH9cgciyF7KwMA6/MRcMqaXr6SfzS0kiZ+9kJr9c0jQ8++IDMzExCQkK48847sds71ofZn8LtrqCw8BPyC97H5SoGvt+v9XpstjgfVyh0RiKsirB6Wl5V49v9JXy5o5DlB0tp8hxvabOZFUb3DCMjKYQhCcEMjA8i0K973SYubijmvX3vMffw3JZBTTaTjWnJ07ii1xUMiRjSqQLq6aiayq7yXSw7uowlR5dQ3GC8AVlkC5f0vIQb+91Iakiqj6sUBN9w1lTz0l03gCTxq3c/Y/HGIwxcWIgJPxZTjKs6jEnXJML9l4OmndQVAMDpdPLqq69SXV1Namoqs2bN6tAzBJwNTfNSVraY7JwXvtevVSYq6hKSk35JQEBvn9YndC4irIqwepLyehdzNuXywcZcimqO9zuND7FxYf9ozu8bwfDkUPzMHW9+wPZQ0VjB89uf58sjX+LVvQCkBqcyq98spidPJ8AS4OMK245X87Isdxnv7n2XXeW7WraPjR3LfUPuY2DEQB9WJwjtT9d1Xrz9Opoa6rnxn88RGJfErj++RKw6mF1SMdlVYYy4NIXIT/+Mc8MGIh/+P8LuuOOk4xQXF/P666/j9XoZP348F1xwgQ+upvUZ/VqXkZf/LlVV61q2h4aOJyH+JsLCJiJJnTuYC21PhFURVlscKa3jxRWZfLWzCLdqtKKG+Vu4alg8lw6KJS32p49M70o8moc5B+bw0o6XqPPUATAyeiQ3p93MuLhx3e5rs6N0B+/ue5dlucta+rdOSpjEA+kPiJZWoVv58MmHKTp0gIt//Vv6jpnAR//7mPF5sbjwsLQaeo2KZqhtD8V/+APmhAR6Lv4a6RSLAezatYt58+YBcM0119C/f/92vpK2VVu3h5yclygrW8KxwVg2WyLxcTcSE3OV6NcqnJYIqyKscqikjme/PcyiPUUc+x8ekhDMzWOSuGhgDFZT92xB/b51hev456Z/klWTBUC/0H48NuIxhkYN9XFlvpdXl8crO19hQdYCNF1DQuLKXlfyq6G/ItQv1NflCUKbW/Lys+xZvpTRV13HmKuvZ/n+YqLeX0OgGsU2pxdPvIMrHkjj8PgJaPX1JM/9DFta2imPtXjxYjZs2IDFYuGOO+4gMjKyna+m7TmdRyko/JDCwk/weo3FTxTFTnT0lSTE34i/v/iwK5zop+Q10U7fxZTUNvHY3F1Me2YVC3cbQXVqWhRf3DeWL+4byxXp8d0+qJY0lPDr737N3UvvJqsmixBrCH8Y/Qc+uvgjEVSbJTgS+Ou4v/L5ZZ8zJWkKOjpzD8/l0s8vZc6BOaja2c2nKwidVURiMgCFhw4AMK53JIdNOQDEmmVKj9bhlczY0tMBaNy2/bTHmjJlCsnJybjdbubMmUNT05mnAOxs7PYkeqU+zrixa+nb56/4+/dGVZ0UFLzPho1T2bL1FxQVzUVVnWc+mCD8gAirXUSjW+Xf3xzkvH8tZ87mPDQdpqVFs+Q3E3jlxmEMSQj2dYkdwuKcxVw5/0q+y/sORVK4od8NLLhiAVf1vgpF7t4h/lR6BPfgPxP/w7vT36VvaF9q3bX8bePfuG7hdRyoPODr8gShzSQNMj645u/fg65pmBWZoqgkAMJNgKpTeKga+1AjrDq3bT3tsRRF4eqrryYwMJDKykrmzZuHpmmnfX5npih24uKuY+SIRaSnv09E+BQkSaGmZgv79v+W1WtGcyTzX7jc5b4uVehERDeALmDr0Uoe/nQX2eXG6PVhSSE8flE/MpJCfFxZx1HrrmX2xtl8lfUVAGlhafx17F9FP8yfwKt5+fTQpzy//Xnq3HWYZBP3Dr6XWwfcikk2+bo8QWhVmqby7A0z0VQvd/7vLQLDI/hkUw6DvthFgBbCunovMRPiGJpYRe4tt2CKiiJ1xfIf7edeWFjIG2+8gaqqTJw4kYkTJ7bfBfmQy1VCUdE8Cos+obExFwBJMhEefgFxsdcRGjpWDMjqhkQ3gG6iyaPy16/2cdXL68kubyAq0MrLNwzl03tGi6D6PZuLNzNz/ky+yvoKWZK5e9DdvHfReyKo/kQm2cR1fa9j/oz5TEqYhFfz8tz257h58c3k1OT4ujxBaFWyrBAUaSxPXF1sLKd8Xt9ojpozAYgySVQWNmAbNBBMJrwlJXgKCk97PIDY2FguueQSAFasWMGBA93j7oTVGkVy8i8ZPWoZgwa+QmDgEHTdS1nZEnbsvIUNG6eSl/cOXm+dr0sVOigRVjuprUeruOjZ1by+Jhtdh6sy4vnmwfOYNiCm241gPx1VU3lu23PcvuR2ihuKSXAk8M60d7g//X6xzOg5CLeF88z5z/C3cX8jwBzArrJdXL3gaj499Cld7EaN0M2FxMQCUFVkhNCoQD+yLMbt+0izTG1FI7Ldjl/zCP/G7dvOeMz09HRGjBgBwOeff055efe5HS5JMhERkxk+bC4jRywiPv4mFCUApzOLQ4f/zJq1Yzlw8A/Ut8zhKggGEVY7mSaPyt8X7efql9eR1dya+uYtw3j66sEE2UQAO6bWXcv9393Pa7tfQ0dnZq+ZfHbpZwyJHOLr0roESZK4rOdlfH7554yKGUWT2sSf1/+ZR1c/2rKYgiB0dsHRx8Jqfsu2mp4j8KLiUCTU6ia8bhX7UKN/q3PbmcMqwNSpU0lMTMTlcjFnzhxcLteZX9TFBAT0oU/vPzBu7Fr69P4z/v69UNUGCgreZ+PGaWzbfgNlZd+gaV5flyp0ACKsdiKZZfVc8vwaXl2VhabDlUPj+OY35zGpb5SvS+tQcmpyuH7h9awpWINVsfLP8f/kj2P+iN3ceZc77Kii/aN5ZcorPJTxEIqk8HX211z71bUcqjrk69IE4ZyFxsYDUFlwPKz269uDQovR7zIYiapiJ34DBgDgOnDwrI57bMCVw+GgvLyczz//vMsOuDoTkymA+PjrGTnia2NAVsSFgExV1Xp27f4l69efT07Oy7jdlb4uVfAhEVY7iWX7S5jxwlqOlNYT4bDy+k3D+M81Qwiyi9bU79tSvIXrF11PTm0OUfYo3pn+Dhf1uMjXZXVpsiRz64BbeWvaW0TaI8mpzeHGRTeyKn+Vr0sThHMSGmuseV9dUtSybWBcEMWK8e9Qk4TL6cHaqxcArsOHz7orjMPh4JprrkFRFA4cOMCWLVtaufrORZIkQkNGM2jgS4wds5KkpF9iNofS5CokM+tfrF03ln37HqG2dteZDyZ0OSKsdnCapvP0koPc/s4W6lxehieHsOhX45ncX7Sm/tDCrIXctfQuat21DAwfyJxL5pAWdupJuoXWlx6ZzmeXfsbw6OE4vU4e+O4BPtz/oa/LEoSfzeYwRig3NRzv2pIc5k8uxq3pEEWisc6DNSUZTCa0+nq8xcVnffyEhAQuvPBCAJYuXUplpWg9BPDziyW158OMHbOG/v3+hcMxEE1zU1Q8j81brmDzlpkUF3+JpnW/7hPdlQirHZhX1Xj4s528sPwIADeNTuKDO0YR4bD6uLKOZ+6huTy2+jE8mocpSVN4Y+obhNvCfV1WtxPiF8Irk19hRuoMNF1j9qbZzN44WywiIHRKFpvRdcjdeHwie1mWKA42ugcEKRIF+0uRLBYjsGK0rv4Uw4cPJzk5GY/Hw9y5c1FV8bNyjKJYiYm5khHDv2BYxlyio2YgSWZqa3ewd99DrFk7nsys/9DUVHTmgwmdmgirHVSTR+WXH2xj3rYCFFni6asH8+fLB2Axif+yH5p7aC5/XP9HAGb1ncXT5z2NzWTzbVHdmFkx8+cxf+bXQ38NwIcHPuSB7x4QA6+ETsdksQCgejwn3N73SxxCndSILEk0HC0BwJJqTIXnOpL5k84hyzIzZszAarVSUFDAihUrWqf4LiYoaAhpaf9m7Ng19OjxEFZrNB5PBTk5/2Pd+vPYvft+KipWoesi7HdFIvl0QPUuL7e+tZml+0qwmGReviGDqzLifV1Wh/T54c9bguoN/W7gsRGPIYvJpX1OkiTuGHgH/z7v31gVK6sLVnPXN3dR7673dWmCcNZk5fhiF9r3WjzTEkIpVioAsLqNpVMt8QkAeAoKfvJ5goODufTSSwFYvXo1OTk5P7fkLs9qCScl+T7GjF7BgAEvEBw8El1XKS37mh07b2X9hinkF3yIqna9JW27M/Gu3sFUNbi5/rUNrM+qwN+i8Patw5ki+qee0vLc5ScE1d8O/62YY7aDuTD5Qt6a+hZB1iB2le/ivmX34fSItcGFzkE2HV+CWfMen0JpQFwQZXINAFa38TZqjjMGY/2csAowYMAA0tONpVvnzZuH0yl+Tn6MLJuJipxOxtAPGTliEXFxN2AyBdHYeJSDB59kzdoxHDz0ZzFnaxchwmoHUlzTxDWvrGdnfg0hdjMf3jmKMT1Fv8tT2VG6g0dWPYKma1yReoUIqh3YwIiBvDrlVRxmB9tKt/HAdw/Q5BWtHkLHd6wbAIDHfXwwT2pkAIWKMRgqQPUDvh9W8/m5pk2bRmhoKLW1tSxYsEAssnGWAgL60LfPnxg7ZjW9e/0eP794vN4a8vPfYePGaezYeTuVVevF17MTE2G1g6h2urn+9Q0cLq0nKtDKJ3ePZnBCsK/L6pAyqzO5b9l9uFQXE+In8PvRvxdBtYPrH9afl6e8jL/Zn03Fm/jN8t/gUsVIXqFjk2UFk9UY0OpubGzZblZkCmxG8AmUTageDXO8EVbdBYU/OxRZrVauuuoqZFlm//79bDvLRQYEg8nkT0LCzYwZ/R1DBr9JRPgUQKKiYgXbt9/A5i2XU1j0GaraeMZjCR2LCKsdgMurctd7W8ksayAmyI/P7hlDryiHr8vqkKqaqrhv2X3UumsZFDGIp897GpNsOvMLBZ8bFDGIFy94EZvJxtrCtTy84mE8qsfXZQnCjzJbjLDqcZ14N6AmIAIAqyxBQwPmWGO1K93pRK2u/tnni42N5YILLgBg8eLFlJWV/exjdVeSpBAWdh6DBr3M6FHfEh93I7LsR13dXvbvf5Q1a0dz8OAfqavb7+tShbMkwqqPaZrOI5/uYlN2JQ6ribdvHUFCqFhp6VS8mpdHVj5CQX0BCY4EXpj0ghj138kMjRrK85Oex6pYWZG/gj+s+4O4NSd0WJ6mJhrragHwDw45YV+wPZkmzfjeVfNzka1WTBFGgPXk//yuAACjR48mJSWlZTorr1csOfpz2e3J9OnzR8aNXUPPHo9g80vE660jv+A9Nm2+hM1bZlJY+CmqKvoId2QirPrYM8sOM39nISZZ4uUbM+gTLVpUT+c/W//DxuKN2Ew2nj3/WUL8Qs78IqHDGRkzkmfOfwZFUliQtYDXd7/u65IE4ZQqC43QaQsMwh4YdMK+uKhInM1h1XnUeN65DrI6RpZlrrjiCmw2G8XFxaxcufKcjieA2RxCcvI9jB69jPQh7xIZeVHLnK37DzzG6jWjOXDwSerq9vq6VOEURFj1oaX7SnhumTFS8e9XDmRsqhhMdTrf5HzDe/veA+Dv4/5Or5BePq5IOBfj4sbxu5G/A+C57c/xTc43Pq5IEE5Wkm3MmRoen3jSvtjgIBo04+/OUmOwlSnKmLnFW3rut+4DAwNbprNas2YNR48ePedjCiBJMqGhYxk44HnGjV1Das9HsdmSUNV6Cgo+ZNPmy9i0eQYFBXPwesVUex2FCKs+kl3ewEMf7wDgljHJXDMswbcFdWDFDcX8af2fALhtwG1MTprs44qE1nBNn2u4od8NADyx5gn2lO/xcUWCcKK8vcY69HH9Tl62OdjP2tKy6ql1A6AEGsuzqvV1rXL+/v37M3jwYHRdZ968eTQ2ioFBrcliCScp6S5Gj/qW9PT3iYq8BEkyU1e3mwMHn2DN2jHsP/AEtbW7fV1qtyfCqg+4vCq/fH8rdS4vw5JC+N1F/XxdUoel6RpPrHmCWnctaWFp3J9+v69LElrRw8MeZkL8BJrUJh747gGKG85+XXVBaGv5+4yQktB/0En7/Nw67uaW1WMTW8iBRjcurbZ1wirARRddREhICDU1NXz11Veij3cbkCSZ0JDRDBjwLOPGriU19XHs9hRUtYHCwjls3jKDTZsuI7/gQ7xesRKfL4iw6gP/WXqIA8V1hPlbePH6oWIJ1R/xzt532FS8CZvJxj8n/BOzbPZ1SUIrUmSFpyY8Ra+QXpQ3lnP/svvFogFCh+ByOqmvMm7vR/dMPWm/VOfF3RwcNbexeIASEGD8u6H1Ao3VamXmzJnIsszevXvZsWNHqx1bOJnFEkZS4h2MGrmUoekfEhV1GZJkoa5+LwcPPsnadRPIzn4ej6fW16V2KyIltbPNOZW8uioLgNlXDiQy0M/HFXVcR6qO8Pz25wF4dPijJAUm+bgioS34m/15YdILhPqFcrDqII+ufhRVE+t7C75VX1kOgNXfH4vt5BlavNUu3M2NnLqn+UO0bIRWvZW/f+Pj45k4cSIAixYtoqKiolWPL5xMkiRCQkYyIO2/jB+3jl6pT2CzJeH1VpOV/Qxr143nSObTuN3i/6I9iLDajupdXh76ZAe6DldnxHNhWrSvS+qwVE3l9+t+j0fzMCF+Alf2utLXJQltKDYglucmPYdFtrAibwXPbHvG1yUJ3dyxmQAcYRGn3O8sa8LTHFbl5lWsJKX5LVXVWr2ecePGkZSU1DKdlaqKD3TtxWwOITHxNkaPWkpa2jP4+/dGVes5evQl1q6bwMFDf6KhIcvXZXZpIqy2o78t3EdeZSNxwTZ+f2l/X5fToc05OIfd5bsJMAfw+1FiharuYHDEYP427m8AvL33beYemuvjioTuLGvbFgDi+w045f6y3LqWbgAmtXm+5zZqWQVjOqsrr7wSPz8/CgsLWb58eaufQ/hxkqQQHXUpI0csZNDAlwl0DELTmsjPf5cNG6ewffvNlJV9i66LDxKtTYTVdrLqUBkfbcpDkuDf1wzG4Sf6Xp5OcUMxz217DoDfDP0NUf5RPq5IaC/TUqZx75B7Afjrhr+ysWijjysSuiNd08jatgmA1GGjTtrfUO2ivspFk260oCq6Dd2rHW9Z1dpmEFRQUNAJ01nl5OS0yXmEHydJMhERUxg2bB7pQ94lPPwCQKKyag27dt/NuvXnk3P0FdzuSl+X2mWIsNoOPKrGnxYYEw3fMiaZUT3CfFxRx/bfrf/F6XUyOGIwV/e52tflCO3snkH3MD1lOl7dy4MrHiSnJsfXJQndTHHWYZw11VhsduL7nzxtVUm2Mbim2vq9/oo6cOwOUBv2uU5LSyM9PR2AL774ApfL1WbnEn6cJEmEho5l8KBXGTN6OUmJd2EyBdPUVEBm5lOsXTeWnbvuorDwU9G39RyJsNoO3lmXQ2ZZA2H+Fh6c0tvX5XRou8t2syh7ERISvxv5O2RJfIt2N5Ik8Zexf2FwxGDq3HXct+w+qpuqfV2W0I3k7NgGQNKgISimk++CleTUAFBlLzq+UZHwVhotaXJQ0EmvaU3Tpk0jODiY6upqlixZ0qbnEs6OzZZAauqjjBu7ln79/onDkYamuSkvX9a8QtZINm26jMOH/055+XKx4MBPJJJAG6t2unm2eZWqR6b2IVDc/j8tXdd5esvTAFza81L6h4l+vd2VVbHyzPnPEOsfS25dLg+tfAiP6vF1WUI3kb3D6K+aPDjjlPuPtaxWBOQCoKMhyRLeImOeYHN0TJvWZ7VamTFjBgDbtm3j4MGDbXo+4ewpih+xMVcxfNiXjBixkJSU3+AISAN06ur3kpv3Bjt33cGq1UPZvGUmhw7/leKSBTQ25ok5dH+EydcFdHWvrMqirslL32gHV4tVqn7U6oLVbCvdhp/ixwPpD/i6HMHHwm3hvHDBC9z49Y1sLt7MXzb8hT+N+ZMYbCe0qca6WoqPGA0MyYOHnrRf03RKjxqT/lc4cqEWJIzb/prTmCNYaV4coC0lJyczevRo1q9fz5dffsm9995LQPM8r4LvSZKEI6AvjoC+9Eh5AJerlKqqDVRVraeqagONTbnU1u6gtnZHy2vM5jACAvrgb++J3b+H8ae9B1ZrdLf/vSfCahsqrWvirbXZADx8YR8UuXt/s/0YXdd5eefLAFzb91qi/cW0XgL0CunFvyb8i/u/u5/Pj3xOSlAKtw641ddlCV3Y0V3b0XWNsPhEAsNPnraqqqgBj0tFsUg0WI3b/pJkhFW11mhxle0nz8vaFiZNmkRmZialpaV8+eWXzJo1q9uHmo7Kao0kOvoyoqMvA6CxsYDqms1GYK3ZSV39fjyeCqqq1lFVte6E1yqKP3Z7MlZrNBZLBFZLBBZLBBZrOBZLOIpsR1H8kCRL8/+/BJKEhITFEoHUBbrTibDahl5blUWTRyM9MZgL+kX6upwObW3hWnaX78ZP8ePmtJt9XY7QgYyPH89vh/+Wf2z6B//d+l8SAxO5IPECX5cldFEH168BoMfQ4afcX5xl9FeVI3WUYz3pJBVd13EdOACAJfXkFa/agtlsZubMmbz66qscPnyYLVu2MHz4qesWOhabLQ6bLY6Y6BkAqKqL+vr9NDiP4GzIpMGZhdOZSWNjLqraQF3dXurq9v7k80w8bw+KYmvl6tufCKttpMHlZc7mPAAemJQqPu2ewWu7XgPgmj7XEG4L93E1Qkczq+8ssmuy+fjgxzy59kkGhA0QU5oJra6pvp7s7ZsB6Ddu4imfc6y/al1gDXbNWAxAlryolZWoNTUgSVh79myXegGioqKYPHkyS5YsYcmSJSQnJxMRceqFDISOS1GsBAUNIShoyAnbNc1NY2MuTmcOLncpbnc5bncZblcZLnc5HncFqtaIqjai626Mbq86oDX3ge0a2UOE1TYyd1s+dU1eeoT7M7G3aFX9MYerDrOtdBsmySRaVYVTkiSJx0Y8xt7yveyp2MMjqx7h9Qtfx6JYfF2a0IUc2rgW1eslPCGJiKSUk/bruk7uPuPWf57/UYIbjb6pssWFO8tYwcgcG4vs177LaI8cOZLDhw+TlZXFvHnzuOOOO1AUpV1rENqGLFvw90/F3799Wus7qs7fkaED0jSdt9fmAHDzmGRk0Vf1R809bKxUNDFhIpF2EeyFUzPJJv4x4R84LA62l27nT+v/JEbPCq1q36plAPQ9TatqeX49DdUuTBaZnZY1BKuBACh+Go279wBg7d3+0xPKssyMGTPw8/OjqKiIFStWtHsNgtCWRFhtA6sOl5FV3oDDamJmRryvy+nQmrxNzM+cD8DM3jN9XI3Q0SUFJvH0eU+jSArzM+fz9t63fV2S0EVUFORRcGAfkiyTNmHSKZ+Ts6scgNg+QVRoRwj2NresBlhwbjGmu7IPG9Y+Bf9AYGBgy+pWq1evJjs72yd1CEJbEGG1DbzV3Kp69bAEAqyip8WPWXp0KXXuOmL9YxkdM9rX5QidwJjYMfx2+G8BY7WzFXkrfFqP0DXsWvo1YAysCgg9eZVBVdXYt6YQAKWnEx2VaE9zWA204dy6FQD7cN+EVThxdat58+bR0NDgs1oEoTWJsNrK8qucrDxUhiQZS6sKP25JjrH6yoxeM1Bk0cdKODvX9b2Oq3tfjY7Oo6se5XDVYV+XJHRiVcWF7PhmEQBDplx0yudkbS+jvsqFzWFmX+B2AJLd/gDoOmg1NUh2O379+rVP0acxffp0wsLCqKur48svvxRdZYQuQYTVVrZ4j7GCyYjkUBLD2meuvc7Ko3nYXGyMvJ0YP9G3xQhtSnO58BQU0LhrF/Vr1uLcupWmfftoOnDg+OPgITylpehe7xmPJ0kSj498nBHRI3B6nTzw3QNUNlW2w5UIXdHaj99HU70kDx5K0ikWAtB1nZ3LjNldBpwXz4rC1QDEeoyw6qkxZgiwDxmMZPbtKoUWi4WrrroKRVE4dOgQmzZt8mk9gtAaxD3qVrZkrxFWpw8Qk9qfyd7yvTi9ToKtwfQJ7ePrcoRzpGsariNHaNy6lcYdO/AUFeMtL8dbXo7WPFn6WZFllNBQTBERmMLCMIWFooSFY46LxZKYiCUxEXN8PGbFzL/P+zezFs0iry6PB5c/yOsXvo5ZEUsaC2evqriQQ81zq46fdcsppxnM2l5GSXYtikkmcaSD3EX7AQhSjRWjXEeMf9s7yBynMTExTJkyhcWLF7N06VJ69uxJeLiYElDovERYbUWldU1sOVoFwFQRVs9ofdF6AIZHD0fuAitsdDdqTQ31q1bRuGMn7uwsmvbuM+aZPA3JbEaJCEdxBKI1NaI7G9H53i1Kr2q8XtNQy8tRy8txne5YViuWnj3w69WLZ+In8nTlJ+xq3CqWZBV+si3z56HrGilDMohM7nHSflXVWDv3CADpFyayq2EbOjrBLiuyFoIGNO4wBlcFnHdee5b+o0aOHMmhQ4fIysriiy++4NZbbxXTWQmdlgirreibvSXoOgxJCCYmqPOvGNHWNhZtBGBUzCgfVyKcLU9REXXLvqNu2bc4N2+BH9yyl/z8sA0Zgj0jA0tKCqbwcEwR4ZjCw5EDA88YInVVRa2sxFtW1twqW4FaWYG3rAx3fgGe3FzcubnoLheufftx7TNatB5sfn1u+KesHHqE9CmzsA/LwBwT0xZfBqGLcNbWsHfltwCMmHH1KZ+z/Ztc6iqasDnMDJ2WxP9b/zoAk+uC0QgCNNSyLExRUVh93F/1+yRJ4rLLLuOll14iPz+fFStWcMEFYuU3oXMSYbUVHesCME20qp6R0+NkZ9lOQITVjs6VnU3t119T/+0ymvbtO2GftVcq/mPHYe3VC2uvVPz69TunPnuSohi3/39kBR5dVfEUFOA6fNh4HDpM0759uHNySCwHvtlO4TfGABhTbAz2jGHYMzKwD8vA0rOnaHUVWuxetgTV6yUypSdxfdNO2l9T1siWhTkAjJmZCiaN5XkrAJjRENz8rGrQvARMnNjhvreCg4O57LLL+PTTT1m9ejU9evQgJeXkxQ4EoaMTYbWVNHlUNmYbAzwm9xPLQJ7JttJteDUvMf4xJDgSfF2O8ANaQwM1ixZRM+9zGrdvP75DlrENTccx6QIcF0zCkpTU7rVJitLSd9XxvZYiT0UFb3/4KNWb1pFWIJNSouMtLKK2cAG1CxYAoISGEjh9OkEzLsdvwIAOFy6E9uN1u9my8AsAMi66/KTvBU3VWPHBAVSvRnzfEPqMjGZ90Xoa1TpMXitJrgjqAW9JJgABEztOF4DvS0tLIzMzk23btjFv3jzuuece/P39fV2WIPwkIqy2km25Vbi9GpEOKz0jxC+CM/l+FwARGDoOtbqayvc/oPK999CO9T+VZfzHjyPwwqkEnD8RU2ioT2s8HXNYGLfc+xJ39bqLd0u20MMcxyux/4ey6yDOrVtp3LkTtbKSqg8+oOqDD7CkpBB0+eUEzbgcc7S4G9Ld7F25jKa6WgLCwuk77uSguebTI+QfqMJklhn/i95IksQ3OUsB6NtgRycIALW6BNnhwH/MmHat/6eYNm0aubm5lJeXM3/+fK699lrxe1foVERYbSXbmgdWDU8JFb8EzsKusl0ADIv23QTawnHe8nIq336bqg8/QnM6ATAnJRJy9dUEXnYZ5sjOsQyuWTHzn4n/YdbCWWTV5/N400e8et+rRChmdLebho0bqflyPnXffos7O5uyZ56h7IUXCLr8MsLvvBNLcrKvL0FoBw3VVaz9+D0Ahl86E/kHczzvWp7P7hX5AEy+rT+hMf40eZtYlLUYgJnOKry6sTqh1lCB48IpyFZrO17BT2OxWJg5cyavv/46Bw8eZMuWLQzvIDMXCMLZEEOwW8mOvGoA0hOCfVpHZ6Dressk7n1CxJRVvqQ5nZS98D+OTLmQitffQHM6sfbpQ9x//k3PRYsIu+OOThNUjwnxC+H5Sc/jb/ZnS8kWnlz3JKqmIlksBIwfT9zT/6LXmtXE/P3v2IZlgNdLzdx5ZF50MQUPP4LrsFhgoKtb+tr/aKyrJTwxmcFTpp+wrzy/jrWfGd8Do6/oSc904/t/6dGlNKr1SO5ArmjMxaMlA6DV5hPUvMxpRxYTE8PkyZMBWLJkCWVlZT6uSBDOngirrUDX9eNhNTHYp7V0BiXOEuo8dSiSQkqQ6OzvC7qqUv3ZZ2ROnUb5Cy+gNzbiN3Ag8S++SMoXnxN40UVInXiam9SQVP414V8oksLCrIX8deNfT1jJRwkIIPjKK0h+/32S53xEwMSJoGnUfvUVWZdeRv4Dv8Kdm+u7CxDaTP7+PWRu2YCsKFz0wMMopuM3GL0elaVv7kNTdVIGh5N+YWLLvs+PfA5An9pwwJgJQNc1lEAZ+4gR7X0ZP8vIkSPp2bMnXq+XuXPn4j2LBTgEoSMQYbUV5Fc1Ul7vxqxIpMUG+bqcDu9Yq2pyYDIWxeLjarqfpoMHyb76aor+35N4y8owx8cT98x/Sf7kYxyTzu8y3VjGx4/nX+f9CwmJzw59xscHPz7l82xDhpDw8kukzJuLY+pUkCTqli4l65JLKXv+BbSmpnauXGgrmqay6v23ABhw/hQiEpNP2L/hyywqCxuwBVo4/4a+LT8LR2uPsrl4M7oucWN9Ge7mVlW9vpSQa69GkjvHW6ksy8yYMQO73U5xcTHfffedr0sShLPSOX7COrid+dUA9IsJxM/ceVuj2svhaiOs9grp5eNKuhfd66X85ZfJvupqXPv2IwcGEvnYo/RYtJDAadO6TEj9vilJU/hNxm8AmL1pNktylpz2uX79+xP/7DP0WDAf/zFj0N1uyv/3P7IuuZS65cvbqWKhLe1YspCiIwex2GyMmnntCfvyD1Sy81tjSdVJN/bF5jj+Qfqdve8AINf35GJ9P866VAC0+iKCr7yinapvHQ6Hg8suuwyAdevWkZmZ6eOKBOHMRFhtBZmlDQD0jXb4uJLO4VjLampwqo8r6T5cmZnkXDeLsmeeBY+HgMkX0HPRQsJuuQXZ0rVbt29Nu5WZvWai6RqPrX6MNQVrfvT51tRUEt54nbhnnsEUFYUnP5/8X95LwUP/h7eqqp2qFlpbSdYRVn1gtKqOv+4WHKHHlx91OT0se8dYYCJtfCzJA4/vK2ko4YsjXwAwuioYBY3Gpv/f3n2HR1WmfRz/numTNuk9hNB77woIKKKCiC52Rdfey9pde0XXrq9tFV0brgULKIIKSO8lQCCEQHpvkzqZct4/ToiytABJZpLcn+vKlWQy5Z5MMvOb5zzP/WjN/41xAeiDg1vnDjSjXr16MWyYtrh13rx51DQsqhTCV0lYbQaZpdo/eqdQPy9X0jaklWtbF8rIastT3W5KPviQfTPOpy45GV1gILGznyf+jTcwdJC9whVF4ZFRjzCl8xRcHhd3LbmLjQUbj3mZoCln0vWnBYRe83fQ67H/9BPpU6dhX7SolSoXzaWuuoofX3kOt9NJlyHDD1lU9ceXqVSVObBFWLXm/3/x8c6PcXqcuGo6c607lfpaPR6LtjA0cMKQVrsPzW3y5MmEh4dTVVXFDz/8cNCcbiF8jYTVZpBVpoXVBAmrx+TyuEgvTwckrLY0V1kZWdddR+GLL6LW1+M/dixd5v+IbfqhDdDbO71Oz7OnPsvYuLHUueu49bdbSSlJOebldP7+RN17L53nzsXcvRvukhJybr9DRlnbEFVV+fX9t6goLCAoIoqzbvlH4xxTj9vDsi92k7q2AEWB06/ug8ny54Krsroyvk79GgBr8QiGspPiXZ3RWYJRVTeBEwZ45T41hwPtrHQ6Hbt27WLTpk3eLkmII5Kw2gyySiWsNlWmPZN6Tz1Wg5W4gDhvl9Nu1W7bxr7zL6B61WoUq5XoJ58g4b13MUZ13N3VjHojL532EkMih1DlrOLGX28kpyqnSZe19u9H52++IeyGGw4aZa1et66FqxYna913X7F79XIUnY6pd9yHJSAAALfTwy/v72D7shxQ4NQLexDd5eAFsp+mfEqtqxZ3bRzT64uoL9dRVaGNvBqCjSiGtv0S+td2VgsXLqS4uNjLFQlxeG37P80H1Ls85Nu11cIJIRJWjyW1PBXQ5qvqFPnzawnl331HxmWX48rLw5SYSOcv5xJy4YUdbjT1cKwGK29OepNeob0orSvlll9voaS2pEmX1ZlMRN5150GjrJnXXEv5N9+0cNXiRKUsX8KKuf8BYMJV1xPTXTt876p389M7yaRvKUJv0HHW9f0ZMCH+oMtW1VfxRcoXANSXnMb1fssp3BqEPkjbHtqUFNaK96TljBo1ii5duuB0OqWdlfBZkhZOUllNPaoKep1CeED7XqjSHPZV7AOga3BXL1fS/qiqSvE775L3wIOoDYuoOn/9FZYePbxdmk8JNAXyxsQ3iLRGsrdiL9f8cg2ldaVNvry1fz86f/UVQWefBU4neQ//k4IXXkR1u1uwanG8snZsY+HbrwEwdOoMBp85FYC6Kic/vrGVzB0lGIw6zrllAF0GRxxy+bm751LprMTjiGRotY6A9Byq8yzoo/oAYE5oHwtqD7Szslqt5OXlsUQ6XwgfJGH1JJXXOAGwWY0yctUERTXarinR/rIXe3NS3W4KnnqKoldfBSDs2muIf/119IHt4wW1uUX7R/PBmR80BtZbfr2FGmfTV0TrLBZiX3qJ8FtuAaD0ww/JvuVW3FXVLVWyOA4l2Vl8/9IzeNwueow8hfGXXQ1AaW41X83eQO6ecoxmPdNuH0hC79BDLl9QXcD7294HwFE8gXvMv5G3PhiMVgxh2lx7S69DL9dWBQUFNbazWrlyJfv27fNyRUIcTMLqSSqvqQcg2Gr0ciVtQ1GtFlYjrIeOZIgTozqd5NxzD2WffwGKQtRDDxF5zz1tplG5t3S2debfZ/6bYHMw20u2c+eSO3G6nU2+vKIoRNx2K7Ev/QvFbKZq6VIyLrmE+uymzYMVLaO6vIxvn38MR3U1sT16c9at2oKqkpwq5r28CXtRLYFhFi64byix3UMOex0vbniRGlcN1CXSyR5OzIpU3HV6LH3HAgqGSD8MYdbWvWMtrHfv3gwZonU3+Pbbb6WdlfAp8mp2ksprtRe3YD8Jq01RXKNN4A+3doy2SS1Nra8n5+5/UPnzQhSjkbhXXib0yiu8XVabkWRL4q1Jb2E1WFmdt5qHVjyE23N8h/Nt55xD4if/QR8RjmPPHvZfeCE1srLaK5x1dcyb/ST2okJCYmKZfu8/MZhM5KdXMO+lTdRVOYlMDGTmg8MIiws47HWsylnFL/t/QUFHde50ni6aS2WWBXQQMPFSoH2Nqv7VlClTCAsLo7Kykh9//FHaWQmfIWH1JFXVaZPRAywSVptCRlabj+p2k3PPvVQuXoxiMhH/1psETZni7bLanAERA3j1tFcx6Aws3L+Q59c9f9wv0tYBA0j6738x9+6Nu7SUzFlXUbVsWQtVLA6nxl7BV089TEH6HqyBQcx44HH8gmykbSzk+1c346hxEZUUxLTbB2E9wvoCh9vBM2ufAcBTPobRJcWErc0DIPzKmbjKtZdMS9f2ua32X9tZpaSksHnzZm+XJAQgYfWkLZBargAAdhZJREFUHTjSKu9Aj82jehpXXkf4SVg9WQWzZ1O5aFFjUA0YN87bJbVZY+LG8Nypz6GgMHf3XD7Y/sFxX4cxJobOn31KwIQJqE4n2bfeRuXSpc1frDhEeX4eXzxyD3lpu7H4BzDj/sfwt0Xy28c7+eX97bjqPXTqE8r0Owdj8T/ywMJbW94iszITsxKMK2csD6z/Ao9Lh19iACHXP4C7tA4UMCUGteK9a12xsbFMnDgRgJ9//pnS0qYvPhSipUhYPUm6hkVVbo+E1WOxO+y4VG0kOszSPtq+eEvpJ59S9p9PAIid/TwBY8d6uaK2b0rSFO4bfh8Ar216jR/2/nDc16Hz8yP+9dcInDy5MbBW/HD81yOaLi9tN58/cg/l+XkERURx8VMvYrDE8uUz69i1Oh8UGDolkbNvGYDRrD/i9azNW8tH2z8CwJ41lUc2zsVQ4cRgdRP3yis482oBMEb5ofvLxgHt0ZgxY0hMTMTpdDJv3jw8Ho+3SxIdnITVk6TXSVhtKofbAYBe0WPUy7SJE1W5ZAkFzz0HQMTddxN01lnHuIRoqsv7XM7VfbWV44+tfIxVOauO+zoUo5G4l/5F0NSp4HKRe9/9lH72WXOXKoD8tFS+eeZRau0VRCZ1ZeYjs9m31cW3L27EXlxHYKiFGXcPYdR5XdHrj/xyV15XzkPLH0JFJcg5lvM35DMkZw/oVOIu64ehz6k486oAMMYefq5re6LT6ZgxYwYmk4msrCxWrFjh7ZJEBydh9SQZJKw22YFRVaNOguqJqtu5k5x/3AMeD8Ez/0bYddd6u6R2586hd3J20tm4VBd3Lb2L7cXbj/s6FKOR2BdmEzprFgAFTz0tgbWZ7Vm/mrmP3YejpprYnn045ZL7+e7lXaz9YR+ueg8JvUO46J/Die0efNTrUVWVx1Y9RmFtISHGOBL/iGFWykIAoodW4HfF0wDU52ptyYwx/i16v3xFcHAwZ599NgBLly4lOzvbyxWJjkzC6kmymrTDQVUO2fXjWFwe7Xdk0LXvQ2gtxV1ZSfZtt6PW1OA/ZjTRjz4qvX1bgE7R8fQpTzMyZiQ1rhquXXQtmwqOf3W/otMR+cD9hF7zd6AhsH7+eXOX2yHtXr2C+a88j9vlolP/oYQkXMTP7+yiuqKeoHALZ1zTh2m3DcLchC4tn+/6nN+zfsegGAjYMJ57N34FQEiPKkLOPw+i+qB6VOr3VwBg6tR+56v+r4EDB9K3b188Hg/fffcdTmfTW7sJ0ZwkrJ6kkIYnwwObA4gjk7B6cvKfeBJnTg7G+HjiXn0VxSgj1C3FqDfy2oTXGB49nGpnNbf8dgu7S3cf9/UoikLkPff8GViffEoC60lKWbGUBa+9gMftJqzTUIryxrF3YwWo0GdsLBc/OpIew6NRdMd+I7cqZxUvrH8BgP5Fk3n4t3lY3E78o+uIGqHCpEcAcBXW4KlxoRh1mOLb/zSAAxRF4ZxzziEgIIDi4mKWSYcL4SUSVk9SiJ/WAqW0pl46AhyDTtH+3NyqbEt5vOw//YR9/nzQ64l98QX0QR1ndMdb/I3+/N+k/2NI5BCqnFVc/cvVbCncctzXI4G1edTX1rD0kw/4+c2XUVUPlqABVNnHoroV4nqGMPPBYUy4rBdG05EXUf1Venk6/1j2DzyqhwmeU7n202WEOioxh7iJG1OGcubjEBSr3XZWJQCmhECUo8x9bY/8/Pw455xzAG13q9zcXC9XJDqijvVf1wIig8wA1Ls8lFbXe7ka32Y1aDu+OFwOL1fStrhKS8l/Sps3F37jjfgNHuzlijoOi8HC6xNfZ1DEICrrK7lu0XX8kf3HcV/P4QJr8TvvyhvcJsreuZ05d9/ExvnzUFUPevNAVN0k/IMtnHPLAKbfOYjI42gnVVxbzC2/3UKVs4rT1N5c+PpmImorUEKMdBpfhL7rSBj698bzO/Ma5qt2gMVVh9O7d2/69u2Lqqp8//33uFwy7U20Ljkee5LMBj1RQWYK7A6yy2oJCzB7uySfZdY3BHtPPW6PG72uCSMgqgqVeVCcChU5UF0IVUUNnwuhughqy6G+Clx12vlRD/58/RKIbbsBr+CZZ3GXlWHu0YPwG673djkdjs1s473J73H30rtZkbOCO36/g6dOfYqpXaYe1/UcCKyKTk/J++9T9Oqr1GdnEfPYYzKl4whUVWX9Dz+wYu4HqB4Pis6GwW8ifrbuDJ7cif6nxWM6zjZS9no7Nyy+geyqbIZWR3Llv/cTUFtJVXAgg8btweBvgHNf/7OJNuDM71iLqw7n7LPPZt++fRQUFLB8+XImTJjg7ZJEByJhtRnEh/hRYHeQVVbDwIRgb5fjswJMf45KVNRXEGr5y5aFqgql6VCwA4p3Q/EeLaAW79GC6Mlow6NXlb//jn3BAtDpiHnmGRTT4XfeES3LarDy+sTXeWTlIyxIX8CDyx+kqKaIq/pedVyL3BRFIfIfd2OIjqLgmWep+PobXLl5xL32KvrAwBa8B21PZWkV82a/TNH+dQDojD3xD53CoDO6MvD0Tpitx//yVeuq5dbfbiW1LJWx2YFc/3UZ5tpacmwRjDt9D0aDByY9ChE9Gy+jqir1eRJW/f39Oeuss/jmm2/4448/6Nq1K506dfJ2WaKDkLDaDOJDrGzMKCO7rNbbpfg0o85IqCWU0rpSiiqyCM3fCVnrtI/s9VBTfPgLKnoITYLgRAiIBP+Ihs+REBAB1hAwB4HBDCigKAd/9mub+3i77XbyH3scgLC/X421fz/vFtTBGXVGnj31WUItoXyy8xNe3vgyOVU5PDDigeNeNBh62WUYY2PJ+cc9VK9aRcall5Hw7jsYY2NbqPq2oa7aSfauMtI27iVl2Qd4XPmAQlD0JAadOZ3+4+OPugPV0dS6arlzyZ1sLtjEBZtMXLi4HEVVSQlN5LRzyzHV1UDSeBh1y0GXc1fUo9a6QKdgjPRrhnvZdvXv35/U1FSSk5P59ttvufHGG7FYLN4uS3QALRpWy8rKuP322/mhYQeXc889lzfeeIPg4OAjXuaqq67i448/Pui0kSNHsmbNmpYs9aQkhGhPYNllNV6uxIe5nZC1lnCXm1Kg+KMp9Kz9n9+X3gSRfSCiF4R3h/Ae2kdoFzB0vBHFghdewFVUhKlzZ8JvvdXb5Qi0RYL3Db+PaL9o/rXhX3y5+0vSK9J5fuzzRPpFHtd1BU6YQOIn/yH7xptw7NnD/osuJv7tt7H263vY87vdHpy1btxuDx63itGsP+Hg5is8HpXCDDuZO0rJ2llCwT477vps6qvng1qDTm9lzEW3MuLccSfVpq3aWc1tv9/Glux13P6LwqnbtIGFXzqNYNS5VkKLv9De9M5456DD/0DjZgCGCCuKQZZ5nHPOOWRlZVFeXs78+fO54IILpIWeaHEtGlYvvfRSsrOzWbhQa7B8/fXXc8UVV/Djjz8e9XJTpkxhzpw5jd+bfPzQZ3yItnAoq1RGVg/idsLe32Hbl5C6COoriYiKINXPSqFegcBYSBgO8SMgYQTEDGwYHRXVa9ZQ8fU3oCjEPPM0Ohm98ClX9r2S2IBYHlrxEOvz13PJgkt4c+Kb9A7rfVzXY+3bl87//ZKMG26iJj2TXVffgnXWzahDTqWypA57SZ32ubiW6nLHITNaAkMtGC169AYdigJGi4GgcAvRSTaiu9oIifbzuSBRXe4gc2eJFlB3leKo1hbrqKqK27EFV+0ywENwdCcueOgRgqNiTur27PV2bv71ZjLTt/Dkt9A114Vb0fFev3PpfmoQo4qf18447fXG1f9/dWBxlakDTwH4K4vFwgUXXMCHH37I9u3biYuLY/To0d4uS7RzLRZWU1JSWLhwIWvWrGHkyJEAvP/++4wePZrdu3fTs2fPI17WbDYTHR3dUqU1u4RQbWQ1o6Tay5X4iOI9sP7fkPz1wYf2/cKJtHUCZxH5Y++Akfd7r0YfpqoqhS+9DEDIJRfjN3SolysSh3N64ul0D+nO7b/fTnpFOlf8fAUPjXyIGd1mHDEgVpc7KMqqpCSniuLsKkqyq6gsrcMVezscyEnbge27jni7igI6vQ63y0Nlad0hP8/ZDSkr8wAw+xuI6WIjIjEIveHPmg6EXp1ewT/IhH+wGf9gMwGhlia3fmoKj9tDVZmDsvwasneXkbmjhNLcg58nTVYDcT0CsBcsJCdF29621ynjmXzDbRjNJ/cmrbCmkFt/uxXPtp3MnuchuEql1uzPk8MuJ7yrhVsrH9fOeMod0Ofcw15HYyeAmI7ZCeBwEhISmDx5Mr/88guLFi0iIiKCbt26ebss0Y61WFhdvXo1NputMagCjBo1CpvNxqpVq44aVpcuXUpkZCTBwcGMHz+eZ555hsjIwx9iczgcOBx/tkKy2+3NdyeaqEeUtjAio7SGKoeLAHMHnQqcuQZWvg67fwIaXg39I6Df36D/3yB2CEk7P4aNL5Ned4T5qYKqpUupS05GsVoJv+WWY19AeE1iUCKfnP0J9/9xPytyVvDYqsdYn7+eR0Y9gp9RexNrL64lbVMhezcWUphRedTr0ykq5toSLLXF+KlVRE4YQfiwXgSFWQkKt2IJMKJraHZfV+2kLK8al8uD2+kBFRy1LsryqsnbW0HhfjuOahf7k0vYn1zSpPuj6BTC4wOI6WYjtlsw0V1t+Nu0ox2qR8Xt8uByenC7PJisBlDBVe/GWe+mqsxBUUYlFYU1VBTXUlFYS2VJHZ7/3YpagcjEIDr1DaVTnzD8Auv48ZXnKUjfg6LoGHfZVQydeuTA31QbCzby4KK7mfxLEWdtUNEBJRHx3DvockJDPbyjexKlvha6nQGTHjvi9UgngMMbNWoUBQUFbNmyha+//prrrruOsLAwb5cl2qkWS1X5+fmHDZiRkZHk5+cf8XJnnXUWM2fOJDExkX379vHII48wceJENm7ciNl86CHi5557jieeeKJZaz9eEYFmIgPNFFY62J1vZ2hi21zQc0JUFfYsguUvQdbaP0/veTYMvRq6TgT9n39m3YK1d99p5WmtXWmboKoqxW+8CUDoZZdikCd/nxdkCuKtSW8xZ/sc3tj8BvP3zicv1c75piupSoeyvD9HEhUFQmL8CYsLIDw+gLD4AIIj/TBbDY2H8+tSU8n9xz049uyBbXMIuuIKIu+8A53/wdOhLP5GYroFH7Eut9tDcWYVeXvLKc2rRlWhMf4p2tcul4fq8nqqyx1UVzhw1rkpyqykKLOSbb9re8EbzHo8Lm2e7InQG3QEhVuISgqiU98wEnqFYgnQ5tpm79zO57Ofp6aiHEtgEFNvv4/EAYNO6HYOUFWVz3d9zoKvZ/PgAifR5drpqYPG8WDcZGwWB98EPIOhulRraTfzIzhCGz1PvRtXsTa9S8LqwRRFYerUqRQXF5Odnc0XX3zBtddeKwuuRIs47rD6+OOPHzMcrl+/HuCw74xVVT3qO+aLLrqo8et+/foxbNgwEhMTWbBgAeeff/4h53/wwQe5++67G7+32+0kJCQc8340t76xQRTuLmJnbgcKq/tXwm9PQlbD4je9CQZeDKNvg4geh73IgbC6v2I/TrcTo75tLxBpblW//07dzp3o/PwIveYab5cjmkin6Li6799JKOzL+p/3EVwVRRZaSFUUiO0RTLehUXQZFIFf0NHn4Ft69KDz119R+K+XKPvkE8o++YTKX34h8p5/EDR1KoquaYt89HodUUlBRCU1vVl+ZWkd+XsryEsrJ3dvBSU5Vbgcx95xTm/UYfEzENk5iJBof2wRVmwRVoIirAQEmw/Z+lT1eNiw4DtWfPExHrebiM5dmP6Ph7FFRjW51sOpddXy3JJHCf1wAY9s1sK1PiqK+ZOv4vXKCGy6Wn6JeB1LeTaEJMGlX4H5yIf3XQU1oIIuwIg+0LfXTniDwWDgoosu4r333qO4uJj//ve/XHrppRgMHfToomgxx/0Xdeutt3LxxRcf9TydO3dm27ZtFBQUHPKzoqIioqKa/oQUExNDYmIie/bsOezPzWbzYUdcW1uf2CCW7C5iZ17rT0NodUWp8MuDkPar9r3BCiOug9G3QODR5xpH+0fjb/Sn2lnNfvt+uod0b4WC2wbV46GoYVQ15PLLMYSEeLki0RSqqpK2sZB1P+6jvKCGYKLwGFzsDtlAVkgKwUkGnpj4GJ1tcU2+Tp3ZTPTDDxEwbiz5Tz6FMyuL3Pvup+yzz4l66EGsAwe2yH0JDLUQGGqh+3DtOdpR66Kuqh69QYdOr8Ng0qE36tDpFJx1bhSdgsGoOySMHo2jppofX3mejG2bgeabn5pdmc07b13D5G8ziWh4Gg6aOZM3up/F3J2lWHRufov7N0FFKdr0pCu+1VrfHYWzQOtYYoyWUdUjCQwM5JJLLmHOnDmkp6czb948LrjgAnRNfFMlRFMcd1gNDw8nPDz8mOcbPXo0FRUVrFu3jhEjRgCwdu1aKioqGDNmTJNvr6SkhKysLGJiTm5FaEvrE2MDYEduOw6rtWXwx79g7bvgcYLOAENmwbh7Iahpj4+iKPQM6cmmwk0kFydLWP2Lyl9/xbFrFzp/f0Kvvsrb5YgmyN9Xwapv0shLqwDA7GdgwMQE+p8Wx68FDp5d+yPp9ipm/jiTu4bexcW9LkanNP1FPGDsWLrM/5HSjz6m+N13qd26lf0XXUzgmWcScecdmJOSWuquAWC2Go7YfN90Ak35a+wV/PDSs+Ts2oHBbGbCrOvoP/HMk5qfqqoqi5d/RMm/XuGyVCcAnuhwYp96nvv3mVm0swCDTuW3LnMJz14NpgC47CutJd4xeKq165NR1aOLjY3l4osv5rPPPmPHjh2YzWamTZvmc50oRNvVYm99evfuzZQpU7juuutYs2YNa9as4brrrmPq1KkHLa7q1asX8+bNA6Cqqop77rmH1atXs3//fpYuXcq0adMIDw9nxowZLVVqs+gTqx1q25Vficvt8XI1LSDtV3hrJKx+Uwuq3SfDLetg6stNDqoHDIseBsD6/PUtUWmbVfqf/wAQcoWMqvoyj0elYJ+dn99J5pvZG8lLq8Bg1DF8ahJXPjuGEVOTsAaYmNZ1GvOmz2NUzCjq3HU8t+45rl98PfnVR56zfzg6s5nwG66n688/Y5sxAxSFyl9+IX3qNPIefxxnYWEL3dPmZS8q5It/3kPOrh2YrFYufnw2AyZNOalAk7NjHd9fOYG4G15gUKoTt17BctWlxH47nxt26Fi0swCLAZb0/J647AXaG+wL/9Pk7ZedRdrIqj7Y+0fvfF3Xrl0be65u2rSJhQsX4vG0w9dC4RUtOk7/2Wef0b9/fyZPnszkyZMZMGAAn3zyyUHn2b17NxUV2qiEXq8nOTmZ6dOn06NHD2bNmkWPHj1YvXo1gT6+FWFiqB/+Jj31Lg/pxe2ohZWzFn66Dz69AKoKIKw7XPaNNjIR1vWErnJ49HBAC6tqG94KtTk59u6ldsNG0OsJueQSb5cjDqO+zsWa7/fy8YMr+Xr2BtK3FKEo0GtMDJc+MYoRU5MO2ac+2j+ad894l4dGPoRFb2Ft3lrO//58ftj7w3H/7RujIol97lmSvvuOgNNOA7eb8rlfsvfMKRS9/jruyqN3GvAme3ERcx+7n/KCPIIiorj4iReI6nLirY7q0vey6oaLKP/bLHquL0CnQsmwLiR9Nw/rTfdyyX+2sm5/KSEWWNHtCxL2/RcUHZz3NnSb1OTbcVdonWYMEdYTrrUj6du3L9OmTQO0I6k//PADbvex5zwLcSyK2s7Sgt1ux2azUVFRQVBQ0xcWNIe/vb2KDRllvHrRIM4b3PT5aT4rbyt8cx0U79a+H3EDnPEEGE/uibvWVcuYL8bg8rj4acZPJAS1/oI4X1Mw+wVK58whYNIkEt5609vliP9RUVTLT29va+wRarLo6dQvjGFndyYstmn9N/dX7OfhFQ+zrXgbAJM6TeKBEQ8Q7X9iPaWr162j8KWXqNuqXZ/O35/gCy8k5LLLMMX7zvNPbVUlXz31MEX70wmJjWfmI08TGHrsqWSHU7drF/vfeQ33L0vRNbxypfa10ffeJ+k2ajKr9hZz+xebKa6qJy5AYWHchwRmLNZGVM9/H/odukj3aApe24Qzr5qwq/ti7dlBFs42gy1btvD999+jqiq9e/fmggsukEVX4hDHk9dkBnQzOjAVoM0vsvK4YcUr8P4kLagGRGmjqWe/cNJBFcBqsDIgfAAA6/LXnfT1tXWqqmL/RdvlzXbedC9XI/5Xblo5Xz+/gdLcavxsJs68rh9//9dYzry2X5ODKkBnW2c+Putjbh98Owadgd8yf2PavGm8teUtapzHv1Wz/4gRdJ47l7jXX8PUrSue6mpK58xh7+mns/+yyyn74gtcZWXHfb3NyeNxM2/2ExTtT8fPFsz5Dzx+3EHVmZdHyQcfkDp9GvvOm4G6UAuqm3oYSPnXNUz9aiVdR57BO8v2cvm/11JcVc+QaAO/xbytBVWDBS7+4riDKoC7qh4AfYDMWT0egwYN4sILL0Sv15OSksInn3xCTY1sRy5OnIysNqO56zJ54NtkRnUJZe71bXT7OXsufHMtZKzUvu81VduG0L95+32+vfVt/m/L/zE+fjxvTurYI4m1ycnsn3khip8fPVatlK1VfUjaxkIWz9mBx6USmRjI2TcNwL8Z5i/uLt3Ns2ufZVPhJgAirZHcMfQOzkk6B/0Ren4ejerxUL18OaUff0z16jV/blFlMBBwyikETZtG4MQJ6Pz8Trr2Jtekqvw+5122/DIfs58/lzz1ImHxnZp0OceePVQtW0bV0mXUbtrUeH9cOljfQyF/xmiuPP8J4gPjKap08OC3yfyaonWfuaGvyv3lT6ArSdUWU10yF5LGHn/9HpWch1eACjEPjUR/jJZj4lDp6enMnTuX+vp6QkJCuPTSS4mIOHoHBtFxHE9ek7DajPYWVTHppWUY9QpbHp2Mf1vbySpvG3x+EVTmgtEfzpoNgy/XGkU2s7SyNGb8MAOjzsiyi5YRaPLtOcktqfCllyl5/30Cz5pC/CuveLscgbaIatPCDNb9mI6qQpfBEZx+dZ9m3YpUVVUWZyzm5Y0vk1OVA0AXWxduGngTkztPPq6uAX/lLCjAvuAn7PPnU7dzZ+PpitVK4IQJBE6eTMC4sS0eXJd/8THrvvsKFIVzbr+XXmPGHfG8ntpaqteupWrZMqqX/YEzN/egn+9MgBV9dVSfMoCbx9/PoMhBqKrK/G15PPr9dspqnJj0Ot4dVcxp2x9CcdghMBYu/gzihpxQ/Z4aJ7lPaj2k4545BUUvByJPRGFhIZ9//jnl5eWYzWZmzpwpW7MKQMKq18Kqqqqc9q+lZJTU8O4VQzmz74nNRfOK1F/gq6vBWQ3hPbTRiBNcQNUUqqoy/fvp7KvYx3Njn2Nql6ktdlu+Ln3G+ThSUoh98QVsDYsThPfkp1fwx9xUijK1BUt9x8Yy7pKejducNjeH28FnKZ/xQfIH2Ou1KUTdgrsxq+8szk46G5P+xEf0HHv3Yl+wgIr5C3BmZjaerlgsBIw9lYCJk/AfMRxjXPPOcV0777+smKt1tzj92lsYeMZZjT9T3W7q9+2jbudOapO3U7dtG3UpKaj19Y3n8Rj17E4ysaqzgw3dFAITkrhzyJ1M7DQRRVEornLwyHfb+Xm71lmhb3QAc7r/QeT6lwAVOo2GmR9D4IlvMuAqqyN/9now6Ih/+pQTvh4B1dXVfPnll2RmZqIoCpMnT2bUqFHS2qqDk7DqpbAK8PgPO/ho1X4uGZHAc+cPaPXbPyHr3oef7wPVA0nj4MJPwBrc4jf7xuY3eG/be0xImMDrE19v8dvzRa6SEvaccioA3VeukO1VvajGXs/qeWnsWq0FIJPVwNiLutNzZHSrvKhW1lfyacqnfLLjEyqdWlAONgcztctUZnSfQY+Qw+8K1xSqqlK3bRv2XxZRuWgRzuzsg35uiI3Bb9gw/IYMxdy9G6akJPQhISd0vzf9/ANLPnoPgDGnn0Of2E7UZ2TgzMjAsX8/jtQ9qLW1h1xOiYpgf98wvovMYn18HfVGhVBLKDcNvIkLelyAUaftdvdTch7//G47pdX1GHQKd42L4aayf6HbPV+7omHXwJTnwXByh+1dpXXkv7Aexagj7ikJqyfL5XIxf/58tmzZAmhtK6dPn47VKp0WOioJq14Mq0t3F3LVnPVEB1lY/eBE337n6HHDokdgzVva94Mvh3NeOekn+abaXbqbv/34N0w6E8suWkaAqemLVdqLih/nk3vvvZh796bLvG+9XU6HVZxdyfevbqGuSmsC33tMDKPO63rMrVFbgr3eztepX/N5yucU1Py5C2C/sH7M6D6Ds5POPqn/FVVVcaSkYF+0iOrVq6nbsRNcrkPOp7PZMHfujDGxE8bISPRh4ShGI4pBDw27E3kqK3GXV+Cu0D72lxSwtiFod8svpUfB4Rd4KVYrlt69MfTuyZ4YlQXm3fzi3tY45ahzUGcu730507pOw8+oTVcora7n0e+3M39bHgC9ogP5v1Pr6LLyXijbr233fM5LMOTKE/7d/JXb7iDv2XWgg/hnj3/OqziUqqqsW7eOX375BY/HQ1BQEOeddx5duhx7gwbR/khY9WJYrXO6GfTkIuqcHn6+Yyy9Y1q/hiZxu+C7GyH5K+37SY/CqXe3yPzUI/nrVIAnxjzB+d2Pf7VuW5f70MNUfPstYddeQ+Q993i7nA6pOLuS71/ZQl21k7A4f067vBfRSTZvl4Xb42Zl7krm7ZnH0qyluFQtUFr0Fs5IPIMzEs9gVOworIaTG5ny1NRQu3UrNes3ULt1K/X79h0yZ7Qp6gx6/uiZgMugp3NROb1zSzCEhWFKTPzzo3MiZTGBbDDlsrZwPctzllPlrAJAQWF07Ggu630Zp8adetCc3YXb8/nnd8kUV9Wj1yncPjaOW9XP0a97F1AhKB5mfgQJw0/qd/FX7moneU81zFl99tTj2lJWHF1OTg5ff/01ZQ3dKkaOHMnpp5+O0Wj0cmWiNUlY9WJYBbjmo/X8tquQe8/syS0TfHAiudsF314HO75t6D/4HvS7wCul/Dv537y26TX6hfXji6lfeKUGb9p71tnU79tHwrvvEDB+vLfL6XDK8qv59sVN1FU7iUwM5Nw7BmH2870XzJLaEuanz+fbPd+SXpHeeLpZb2Z0zGhOSziN8QnjCbeeWP/S/+WpraU+I4P6ffuoz87GVVSEu7QM1eUCtxu1odG7PjAQfbANJTCQ33dvJacwj/CIKC647g6sXZLQBwZSUlvCuvx1rM1by5q8NY2LyQ6IC4jjvG7nMb3rdGICDt4Nb3tOBbMX7mL5nmIAekQF8H9j6+m26j4obfg9DLkSJj8DluZ9vvc4XOQ+thqA2CfHoGvGxXUCHA4HixYtYuPGjQCNO1XGNfP8aeG7JKx6Oax+siaDR77bzoB4Gz/ceqpXajgiVYXvboatn4POCBd+DL3O8Vo5JbUlnPH1GTg9Tj47+zMGRLSReb7NwG23kzpiJADdV6+SLVZbWXW5g69f2EBVqcOng+pfqarK1qKt/LTvJ5ZlLSO3+uAR0H5h/RgdO5oRMSPoF9av1abWbPvtFxa/9wZ6o5GR991CntVOalkq6/PXk1qWetB5DYqB/hH9GRkzktExoxkUOeiQzgd7Cip54/c0ftiq3T+jXuGmU2K5XfkSw9q3AVVb7X/uG9D99Ba5T6pHJeefK8ADMQ+OQG+TLVdbwp49e/j++++pqqpCURTGjRvHuHHj0OvlzUF7J2HVy2G1uMrBmOd+p97t4ftbTmFgQrBX6jis35+GP14ERQ8XfQq9zvZ2RTy84mF+2PsD53Q5h+fHPu/tclpN9erVZF79d4zx8XT7dbG3y+lQ6qqdfPfyJkpyqrFFWrng3qFYA9tWH01VVUktS2Vp1lKWZi1le8n2g36uoJAYlEjv0N70CO1Bz5CedArqRKx/LEb9iYdyt8dNmaOM3Kpc0ivS2ZuxA8+cNeicKut7lbGjy6GbovQM6cnImJGMjBnJ0Kih+Bv9D3vd23MqeGtJGgt35De2ip0+KJaHehUStfwhKEnTThx0OZz5TIsvBM17bi3uinoibxmEKaHjttdraTU1NSxYsIAdO3YA2ijrlClTpMVVOydh1cthFeCuL7cwb3MOMwbH8cpFg7xWx0E2zIH5d2pfT3sdhs7yajkH7CjewcULLsagM7D4b4ub7VCmryt+9z2KXnlF+qu2svo6F/Pf3EpeWgV+QSYuuG8oQeFtf0VyYU0hK3NWsi5/HRsKNpBfnX/Y8ykoRPpFEuUfRaApkCBjEAGmAAKMAZgNZgyKgTp3HdXOaqqd1dQ4a6h2VlPmKKO4tpjSulI8qke7LhUmr40iptRCQUgdC0cVEOYXTrfgbnQL7sbAyIGMiB5BqOXoW5Vuyizjzd/T+H1XYeNpU/pGc/dQPT22zobdP2knBkTDua9DjzOb55d2DIX/t4X6zErCLu+NtV/HeF7ypuTkZH7++efG3a569OjBxIkTiY5uQ20gRZMdT15rY13r246rT+nMvM05/Lg1l3vO7ElcsJdfDFMXwYK7ta/H3+8zQRWgb3hfBkYMZGvRVj7a/hH3DO8YC43qticDYO3fcaY+eFttZT3fv7qFkpwqTFYD024f1C6CKkCkXyQzus9gRvcZgDbFJqU0hV2lu0gtTWVP+R6yK7Opc9dRUFNwUKeB46WgEGGNYGhmBFGlVShGPVNvuZcHug8/ZjA9oLbezU/JeXyxLpMNGdpCG50C0wbGctvoMLqlvANfvwcep3YkaPi1MOFBsLbedBnt0H8lrnJHq91mR9a/f3+6devGsmXLWLduHampqaSmptK3b18mTJhAeLi8YeioZGS1BV36/hpW7S3hqjGdefzcvt4rpHQfvDseHBUw6DKY/larrvpviuXZy7n5t5sx6UwsOH8B0f7t/530ngkTceXlkfjJf/Ab3nyrmMXhOWpdfP/KZooyK7EGmTjnpgFEJflot44WoqoqJXUlZFdmU1JbQqWzksr6Sqrqq6hyVuFwO3B5XFgMFvwMfvgb/Rs/QiwhhFvDCbeGE2wOpiwri08fvAuP28XkG26n/8TJx7z9epeHlWnFzN+Wx6Kd+VTWaR0ODDqF84fEccsIG4lpn8La97TnK4BuZ2iH/CN6tuSv5rDK56dTtSKHgHFxBJ8t7ZVaU3FxMUuWLGmcGqAoCgMHDmTcuHGEhjbtDZHwbTKy6iNuPq0bq/aWMHd9JrdN7EZYgBcm6Dvr4L9Xak/88SNg6qs+F1QBTo07lSGRQ9hUuIl3tr7D42Me93ZJLcpdVY0rT+sXae5x4s3eRdOoqsqvc3ZqQTXQyIy7BxMSffh5k+2ZoiiNgfNkLfv0QzxuF12HjaLfhDOOeL7iKgfr9pWydHchv+wooKLW2fiz+BArl4zoxMVJtYRtex8+ngvuhlHMqP5wxuPQrWUWUDWF3qbNY3ZX1B/jnKK5hYeHM3PmTMaOHcuSJUvYvXs3W7ZsYevWrfTq1YvRo0eTkJDg273MRbORsNqCTukWxoB4G9uyK3hveToPntW79YtYeD/kbwO/MJg5p9Ua/h8vRVG4c+idXPnzlXyX9h1X9rmSLsHtdySjfp/WdkcfHo7e5v2enu3djj9y2L+tGJ1BYeqtAztkUG1OJdmZZGzbjKLTMWHWdQcFhkJ7HWv2lbI2vYS1+0pJK6w66LIRgWbO7hfNOf1jGKakoFv9T1j2859niB8OY26DXtMaNx/wlgMdANwVMg3AW6Kjo7nkkkvIzs5m6dKlpKWlkZKSQkpKCrGxsQwcOJC+ffsSENDxNpXpSCSstiBFUbjz9O78/aMNzFm5n8tHJpIQ6td6BWydCxs/AhQ4/32wxbfebZ+AwZGDOS3hNJZmLeXptU/zweQP2u27ZkfaXgDMsnNLiyvJrWLF19oq8jEzuhGZ2LEO/beE5N9/ASBh4DC2VehI3pnGjhw7yTkVZJbWHHL+nlGBjO4axpl9oxmRGIR+93z47XbI2dhwDkVroTfmNug0qhXvydEZQi0AuIpqUFW13T4ftQXx8fFcfvnlFBYWsmbNGrZu3Upubi65ubksXLiQrl270r9/f3r06CFbuLZDElZb2ISekYzpGsaqvSW8+MtuXr9kcOvccFEqzL9L+3r8/dBtUuvc7km6f/j9rMldw/r89fyY/iPndj3X2yW1iPp0bWTV1FXCakty1btZ/MEO3E4PnfqGMmCCb79h81V1Tje55bXklNeSmlNKyeLF6IG3csPZ/8G6g86rKNA7OoiRXUIZmRTGiKRQQv1NUF8Nmz+FH9+C8gztzAYLDLwERt8K4b7XpsgY7Q96BU+1C3eZozG8Cu+JjIzk3HPPZeLEiSQnJ5OcnExubi5paWmkpaWhKApxcXF069aNbt26ERMTIz1b2wEJqy1MURQePqc3U99YwQ9bc5k1JpGhiS08OfzAVqrOGuhyGoy/r2VvrxnFB8Zzw8AbeG3Ta/xr/b8YHz8em7n9HSavz84CwJSY6OVK2rc/vkylJKcaa6CRSbP6tKstM1VVxeHyUFPvxuX2gAI6RUGh4bMCtU43OWW1qGgr7UFBp2jPSx5VRVXBpNdR59LCaEWtE3utE3udi7LqejJLa8gsrSGvoq7xdoeUb+aU+hrshkAyrAl0DvOjb5yN/nE2+sXa6B9vw2b9Sx/XygL47T1Y/2+oK9dOs4bCiOu1Ff4BEa33SztOikGHMdofZ04V9TmVElZ9SEBAAKNHj2b06NGUlJSQnJzMjh07KCoqIjs7u3HagNFoJDY2lvj4eOLi4oiPj/f64mtx/CSstoK+sTYuHJrAlxuyeHjedn687VSM+haci7X6De3wmtkG0/8PdG3rXeWsvrNYkL6AtPI0Xtn4SrtcbOXMadiZR7YWbDF7NhSQsjIPFDjjmr74BfnmfO0DnG4P+RV15JbXkltRS36Fg6JKB0VVDoorHVQ5XFTXu6hxuLXP9W7cntZr5uJn0pMYoDAqazMAQ867mLunTjk4mP5V0W5Y9QZs+xLcDQuUQrvA6Ftg4KVgasUpUSfBFB+ghdXsKvz6+26w7sjCwsI47bTTOO200ygvL2fv3r2kpaWRnp6Ow+EgIyODjIyMxvMHBQURGxtLeHg4YWFhjZ/9/NrG32RHJGG1lTxwVi8WpxSwK7+SD1bs48bxXVvmhiqyYels7espz4Gt7YUho87IP0f9k6sWXsU3e75hcuJkxsSN8XZZzcqZo+2PbpKw2iKcDjdrvtPmBQ85M5GEXt5vdVNb72Z/STXpRdVkl2mjlfkVdeTZ68ivqKWo0sGJZk9FgcM1IdTrFGJsFox6HR5VbRxNVdU/1y653dpczIRQK8FWEzarkSCrAZvVSHyIH4lhfiSG+RPiZyRl+RJ+3uggJDaeaRdMRXe4N8IZq2Dla5C68M/T4ofDmNu1ealt7M2zKS6QavJxZlV6uxTRBMHBwQwdOpShQ4fi8XgoLi4mOzubnJwcsrOzKSwsxG63Y7cfutOan58fYWFhhISE4O/vT0BAAAEBAY1fm0wmdDodiqKg0+kavzYajRiNvr1Vc1snYbWVhPibeOjs3tzz1VZe/TWVc/rHtMxiq0WPgKsWOo2BQZc2//W3kqFRQ7mo50V8uftLHlj+AP+d9t9203vVU1uLu6QEkJHVlrJpUQb24joCQswMPbP1plq4PSo5ZbXsLa5iX1E1+4qrSW/4Ovcvh9KPxKTXERtsITbYSnSQhYggMxEBZiICzQRZjPiZ9PibDY2frSY9fkY9hr8cqVFVFY9K44IgfTNOfUjftB6AHiPHHBpUM9fCkqdh3x8NJxxYNHU7dBrZbDW0NlNn7ZCxI8OOp96NztS2wnZHptPpiIyMJDIykiFDhgDgcDjIzc2loKCA4uJiSkpKKC4uprKykpqaGmpqasjKyjqu2xkyZAjnnts+11f4CgmrreiCIXF8vTGLNeml/PO77Xx09fDmXV26fyXs+BYUHZw12yf7qR6Pe4ffy7aibaSUpnDvsnv5cMqHGHVt/92rM0/bBlPn749O5k41u/paF8lLsgE45W/dMVlb5mmuzulmZ56dbVnlbMupYHtOBfuLa6h3e454GZvVSJcIfxJD/YgJthJjsxAdZCHGZiXaZiHM34TuJMOloijoG+anNqe66irSN28AIGnwXzaxyN4IS56Bvb9p3+uMMPgyGH2bTy6aOl6GCCv6YDPucgeO9AqsPjBKL06c2WwmKSmJpKSkg053OByUlpZSXFxMRUUF1dXVVFVVNX6uqqrC5XLh8XjweDyoqsqBPZV0Xm6x1hFIWG1FiqLwzIz+nPXqcpalFvHZ2kwuH9VMoz5uF/zcsJBq6FUQ0/a38DTrzbw0/iUumn8RW4q28NrG19rFVqzuslIA9OFh0gqnBWz/IwdHjYuQaD+6Dm6eOYb1Lg+pBZVsy65gW3Y527IrSC2oxHWY4/Ymg46kMH+6RPiTFK59dInwp0t4ACH+vj1v9mjSN67DWVdLaFwCsd17Qt42WPIspDb0SFX0Wkgddy8Ed/Jusc1IURQsPUOoXptP3e5SCavtlNlsJiYmhpiYmCZfRlVVPJ4jvzkVzUfCaivrGhHAfVN68vSCFJ6av5MRSaH0iAo8+Sve9BEUbAeLDSb88+Svz0ckBCXw1ClPcefSO/l458cMjhrMpE5tow3XkbjLywHQ24K9Wkd7pKoqycu0UdUhZyae0Op/t0clrbCqMZRuy6kgJc9OvevQF6XwABMD4oPpH2djQLyNntGBxNqsJz066otydu8EIKlnF5SvZkHKD9oPFB0MuBjG36stoGqHLD1DG8JqmfRbFY0URZG2WK1EwqoX/P2UJJbvKWZZahG3fb6Z7289BYvxJP7g62tgyXPa1xP+Cf5hzVOoj5iUOIkr+1zJf3b+h0dWPEKPaT1ICEzwdlknzF2u7XmuD25/Lbm8rTSvmqpSB3qjjm5DI495/so6J9tz7KQXV7G3sJrknHK259ipdboPOW+QxcCA+GAGxNsaPoKJsVk6THDJ2bEFgLjUdyCwGFCg3wVw2gMQ3t2rtbU0c9dg0Cu4S+twFddijJBV40K0JgmrXqDTKfxr5kDOem05uwsqeXrBTp4+r/+JX+HGOVBTDMGJMOzq5ivUh9w59E62FW1jS9EW/rH0H3w05SP8jG3zBcNd0RBWgySsNrfslDIA4roHY/ifhTD1Lg+78u1szSpnS1YFW7PL2VtUddhV9H4mPf3ibAyIszEgIZgBcTYSw/w6TDA9SMle6n6dTUnDXOtYawX0mgoTHoaoPl4urnXozHrMSTYcaeXUpZRKWBWilUlY9ZKIQDMvXTiQWR+u49M1mQxOCOGCoSewu46zDla+rn099m7Qt/0FSIdj1Bl5cfyLXPjjhaSUpnD3srt5Y8IbGNvg/VVdLgAUaXXS7PL2am8EwpKC+HVnAZuzysgrryO9uJqdufbDLn6KC7bSMzqQzmH+9IkNYmC8jS4RAc26ir5NytuqPbfsmMfu0gigO2GBOvxv/hViB3m7ulZn7RuGI62c2uRiAsfJTmhCtCYJq140vkcEt0/qzuu/7eHBecl0jwpgQHzw8V3J1s+hKh+C4rVG2+1YtH80r098nesXX8/KnJU8vPJhnh/7PDqlba3EbJxHebghPXHcKmqdrE0vYXd+Je7tRRiBB/9IJWPloYfyg/2MDIwPZmBCMIMStEP54QHm1i/aV6kq7FsGK16F9CWNJ22t6QGo9J/x9w4ZVAGs/cIp/2Ev9VmVuMrrMATLblZCtBYJq15256Tu7Mip4LddhdzwyUZ+vO3Upr94qiqs/1D7evTNYGi7K42balDkIF4+7WVu++02ft73M8HmYB4c8WDbOjyrSFg9UWXV9WzNLmdjRhlbsspJL6omt6IWVYUAD9xUb8WDSq7OTecwP0Z1CSMxzJ+4EGvHPpR/LG4XpHyvNfPP26qdpuih3/kUJc6k6MU3MBhN9B1/unfr9CJ9oAlT5yDq99m10dWxMroqRGuRsOplOp3CKxcP4rw3V5JeXM21H2/gs2tH4m9uwkOTuwkKkkFvhoGXtHyxPuLUuFN5+tSneWD5A3yx6wssBgt3DbmrDYWQA3VKWD2SepeHnPJadubaSW7oYbojt4KyGudhz981wp9xihXs1fhF+bH0rjHEBVtbueo2qL4GtnwGq9+Esv3aaQYrDLlSewMc0pmsBd8DkNC3P5aAAO/V6gP8BkRQv89OzaZCAk6Na0PPOUK0bRJWfUCQxcj7s4Zxwdur2JJVzk2fbeLfVw7DZDjG4e2NH2uf+0wHv47V+++cLudgr7fz7NpnmbN9DnaHnUdGPYK+LWzl2NBAWj1K8/iOxOn2kFZYxebMcjZklLIpo4yM0pojDjwnhvkxNDGEoYkh9IgKJCncn/AAM1/P3kABMGxcvATVY3E7Yf2/4Y8XoUbbTQ1rKIy8AYZfd1BHkeyUZADi+5zEItB2wm9gBOUL9uHMq6Y+qxJzJ9nUQ4jWIGHVR3SNCGDOVcO59P21/JFapG3LetGgI/drdFRC8tfa10OvarU6fcklvS7BpDPx5Jon+WbPN1Q4Kpg9bjYmvW9Ph9AHaX113ZWH7k3d3lXUONmZZ2dnnp2UPDs7c+2kFVYdduGT2aCjR1Qg/eNt9I/TPrpGBGA9zHaX5QU1FOyzo+gUug+Pao270ja5nbD5E1j+ClRkaqcFd9J2mxp8OZgOXuWuejxkp+wAIEHCKjo/I34DwqnZVEj1qlwJq0K0EgmrPmRwpxDevnwI1368gR+25hLqb+KxaX0Of6gp5UdwVkNYN0gc0/rF+ogLelxAkDmI+/+4n18zf+X6xdfz0viXCLP6bq9ZQ3g4AO6iYi9X0nJUVaWw0sHewip25tlZt6+UHbl2csprD3v+ALOB/nE2hnUOYUhiCP1ibYQHmJp8mHX3Wq2tUkLvUPyCfPvNileoKuz+GRY/CiV7tNP8wmHCQzBkFugP/1JQnJVBXVUlRrOFyKSurViw7woYE0vNpkJqthVjO9uBPkgW6AnR0iSs+pjTekby0oUDuWPuFj5atR+jXuGhs3sf+qK9s2H3mP4z/1yw00GdkXgGgacHcsfvd7CxYCMXzb+IV057hf4RvjkSpA/TwqqruH2EVbdHJaOkml35laTk2dmeU0Fyjp3iKsdhzx8fYqV3TBC9Y4Lo0/ARH3Liuz6pHrUxrPYcJaOqh8jZCIsegYyV2vd+YTDuPhg6C4xHny6RszsFgNievdEb5OUCwBQfqC202m+nanUetjM7e7skIdo9efbxQdMHxVFR6+TR73fw/vJ9VNQ6eXZGfwz6hjmsjkrY+7v2de9zvVeoDxkVM4ovzvmCO5bcwX77fmYtnMXDIx/mgh4XeLu0QxgiGsJqSQmqx4Oiazutt0qr69mVb2dXXqX2Ob+S1IJK6pyHHsbXKZAY5k/XCH+Gdw5lYEIwvWOCsFmbt79s3t4KKkvqMFr0JA2MaNbrbtMKdsIfL8COedr3BguMuhlOvVPblrkJSnOyAIhITGqhItumwFPjKNlvp2pNHoHj49FZ5KVUiJYk/2E+6srRnbEY9TzwzTb+uyEbe62L1y4ZhNmgh9RfwO3QpgBE9vZ2qT6jS3AXvjjnCx5e8TC/Z/3O46sfJ7k4mQdGPIDF4Ds9EQ1hYWAwgMuFq6AAY0yMt0s6hMPlZm9hdWMg3ZVfya48O4WVhx8ttRh19IwKpGd0IP3ibPSLs9E7Ouiw80ub2571BQB0HRSBsRVuz+fV2WHpc7D2HVAb3kQMuBgm/hOCj2+b4rL8XABCYuKau8o2zdInDEOEFVdRLZV/ZGOb3NnbJQnRrklY9WEXDksgyGLk9i82s3BHPn//aD3vXjGMgF3ztTP0ntbhpwD8rwBTAK9MeIUPt3/I65te55s937CpcBPPnPKMz0wLUAwGTAkJ1O/bR/3+/V4Pq063h71FVaTk2UnJqyQ5u4INGaU43Ydfjp8Y5kfPqEB6xQTRO1oLqIlh/l7b8Wl/sjadoltHX1jlcsDGj7QV/tVF2mm9psJpD0D0if3t24sKAbBFdvDf7f9QdAq2MztT8mkKVctzCBgVi17mSgvRYiSs+rgp/aKZc/Vwrv/PBlamlXDFeyv5pnopOoAeZ3m7PJ+kU3Rc2/9a+oT14Z8r/sm+in1c/vPlXNPvGm4ceKNPdAswde7cGFb9R49utdstq67XVuE3BNOUvCOvxg+yGBoDaa+YIHpGB9IzKrBpPYBbicvppqpMG+2N7BTo5Wq8xOOG5K9gyTNQ3rDCP7QrnP0CdDvxJv6qqlJZor0RCAqX6RX/y9I3DFOnQOozK7H/nknIed28XZIQ7ZbvvOqIIzqlWzifXzeKq+asw5m7DZ25DLcxAH3cUG+X5tPGxI5h3vR5PLv2WX7a9xPvJ7/PsuxlPHPqM/QK7eXV2kxdkmDJEupSU1vk+t0elf0l1Q2jpX8G07yKusOeP9BsoFdMYOPCpxFJoXQJ9/f5pucVhVp3AaNZjyWgeefC+jxVhdSF8NuTULhTOy0gGsbfpzX115/c78NRXY2zTvv9BjQsChR/UhQF25Qkit7bRvW6PALGxGKM9Dv2BYUQx03CahsxMCGYb24aw+//ng8OWOLoSeGGXC4d2cnbpfk0m9nG7HGzOT3xdJ5a/RSpZalcMv8SLul9CTcNvIlAk3dG46z9+gFQty35pK+ryuFi14G+pXl2duZVkppfSa3TfdjzJ4Ra6dMQSnv/ZTW+rwfTwynOrgIgPD6gTdZ/wjJWayE1c5X2vcUGp94FI244pFfqiaouL9Ou2j8Ao0naMx2OuYsNS+9Q6lJKKf8+jfBr+3esv0MhWomE1TakS0QAnToVwh5Y7e7NB/OS2ZJVxmPT+vrUoVlfdEbiGQyJHMLTa57m18xf+WTnJ/yU/hO3Db6N6d2mY9C17u/POmAAAHW7d+NxONCZjx0GVFUlu6y2saH+gRHTzNKaw57fYtTRMzqIPn8ZMe0VHUigpf2MQBZnVQJaWO0QsjfC0mch7Vfte4MFRt6orfC3hjTzjWlzlttStwpvCJ7Wlfw95Tj2VlC7rQi/gZHeLkmIdkcSThtjKNR2k+k7bDzKOvjvhmzWpJfy8oUDGda5Y225erzCrGG8MuEVVuSs4Pl1z5Nhz+Dx1Y8zZ8ccbh54M1OSpqBTWueF2RAbiz4sDHdJCXU7duI3ZPBBP69zutnd0Lf0r4fxKx2uw15fjM3SEEj/DKadvbjoqbUUZTWMrLb3+ap5W7WR1AMhVWfQdpwadx/YWmalvtqw3+0Rdr0VDQyhFoImJGBfnEH5/H1YeoZKKyshmpn8R7UltWWNWySef9aZRPd3cs9XW8ksrWHmu6u5flwX7j6jh9beShzRqXGnMu/ceXy+63M+SP6ADHsG9y+/n/eT3+fWwbcyMWFiix/KUxQFv6FDqVy0iOLlK9kfEM+O3IbD+LkV7CuuxnOYlGDS6+gWGdAYTA8czg/x9/6isdamqirF2e18ZLWyAJbNho1ztDZUih4GXgzj7oXQlu19emBxVUBwc4/Ytj+B4+Kp2VSAq6QO++IMgqfJbl9CNCcJq21J/nbtc3AiWGyM6QYL7xrHEz/s5JtN2by7LJ1lu4t4ZkZ/hibKC8zRGPVGZvWdxd96/I1Pd37Kxzs+Jq08jTuX3ElXW1cu7X0pU7tMxc/YfAsmPB6VnPJaUgsq2V1QiaqPYyKw5r8/cV/eocEjzN9En9igg0ZMu0YEYNTLYVmAGns9jmoXigKhsf7eLqd5VRXCytdg/Qfgatiitt8FWq/U0C6tUkJ5QR4Atijf6wPsaxSjjuDp3Sj+cDtVq3Kx9g3D3CXY22UJ0W5IWG1L8hsW4/ylZ2KQxchLFw5kct8oHvo2mV35lVzw9ir+NjSe+6f0IiJQFkYcjb/RnxsG3sDFvS7m4x0f81nKZ+yt2MtTa57i1U2vckH3C5jRfQZdbMcXEIqrHOzMtZNaUNkQTqvYU1BJTf2fi56iXdFMBHqXZtArSE/XzpH0jf1zC9KIQLMs1jgKe1HDSvVQCwZjOzmaUFMKK16B9f8GZ8Nc5PjhMOkxSBrbqqVUNITV4CjpsdoUlh4h+A2NomZjAaVf7ibqjiHo/NrP/HAhvEnCaltS3NDmKLLPIT86s280wxJDmL1wF//dkM3XG7P5ZXs+t07sxlWndJapAcdgM9u4fcjtXN3var5P+57Pd31OVmUWH+34iI92fESPkB6c2flMJidOprOtc+PlnG4P6UXaTk8peZXsKdDmluYeoUWUUa/QNSKA7lGB9IvthTs5FkN+Ll+NNhM4YUgr3dv2wV6shdWg8KPvb98m1FfD2ndhxavgqNBOix0CEx7SeqV64U1LRaG2M5gtMrrVb7utCj63K/UZdlzFtZR9u4fQy3rLG04hmoGE1bakIlv7fIQtE8MCzLzwt4FcPKITj32/g+ScCp77eRefrc3kwbN6MaVftDxxHkOgKZDL+1zOJb0uYUXOCr7c/SWrc1eTWpZKalkqb2x+A5sxGhu9qbV3JTsvlnrHoVMFFAWSwvzpGR1Ijyjto2d0AIlh/gcdxs87bSzlc7+kaukyAidMaM272ubZS7Q3BEFhvrOV7nFz1sK692HV63/uOhXVXzvc3+NMr+5QV1VaAkBgmGwI0FQ6s57Qi3tS+PZWareXULUql8BTZKtaIU6WhNW2xJ6jfQ46+pPfkE4hfH/LKXyzKZsXftlNZmkNN322iQHxNq45NYmz+sVgMsi8xyNxuNzsKaiioKALUbW30K3uAvZWr6HWtAm9fxoVznwqyAfrEsxdwOSIwabvSmJAdwZE9GVMQn8GJ0Q0qUVU0OTJlM/9EvvChUQ9/BA6U8dbKHWiKku1sBrYFsOqxw1bPoMlz0FlrnZacCJMeBj6zwQfaBd1IKwGhIZ5uZK2xRQfiO2sJCrmp1OxIB1TTADmLjZvlyVEmyZhtS05MLJqO/zI6l/pdAozhyVwdv8Y3lm2l/f+SGdbdgV3zN3Cs0EpXDm6M5eM6ERoB1xF/ldFlY6GQ/h2duVVsrNh+1HXIUvxBwGDiA1RiInKxeC/l1LPDvLr9qGY87CTR3LdCpKzYG62nqSdSfQJ60Ov0F4kBiUSFxBHjH/MIQu2/EaOxBAZiauwkKplywg644zWuuttXmXDyGpgaBsKq6oKqb/Ar49B0S7tNFsCjL9fW+V/krtONRe3y0V1eTkgYfVEBJwSS312JbVbiij5PIWo2wajt8n6ASFOlITVtqLODg679vVx9FX0Nxv4x+SezBrTmc/XZvLJmgwK7A5e/GU3r/+2h+mDYpkxOJ4RSaHtuienqqpkltawJauc7TkV7GroYVpcVX/Y8wf7GekTE0Sv6CB6xWiH8btE+BP0P6OlxbXFbC7cTEpJCjtLd5JSkkJpXSlp5Wmklafxw94fDjp/qCWUWP9Ywqxh2Mw2bGYbg0YlkPBDIXu+eJ/SHqBTdBgUAzpFh17Ro9PpCDQG0je8b4v9ftoip0NbrGaytpGnsewNsPhRyFipfW8JhnH3wPDrwOhbgbs0JwtV9WCy+uFvC/Z2OW2OoiiEnN8dV34NzvxqSj5NIeL6/ijtZSGgEK2sjTzLC2q1rQ8xWMF0/G16wgPM3D6pOzeM78KCbXl8uHIf23Ps/HdDNv/dkE1UkJmpA2I5d2AsA+JtbX5ua3GVg23Z5WzJqmBrVjnbssspq3Eecr4Dc0sP7O7UKyaIvrFBxNgsTfodhFvDOSPxDM5I1EZEVVWlsKaQlNIUUkpT2F26m+zKbHKqcqhyVlFaV0ppXelB17E0QuUlwLQmmUd+votq66G32zOkJ1+f+/WJ/TLaKbfLA4BO7+N/qyV74bcnYOf32vd6M4y6Udsetdl3nWoe1WXa36gtMkp2sDpBOpOesCt6U/DmFuqzKimZu5uwy3qjtONBASFaioTVtuJAG5uT3PfbbNBz/pB4ZgyOY0NGGV9vyObn7XkU2B18sGIfH6zYR2KYH9MGxHJW/2j6xAT5dHBVVZXcijp2NIyW7sy1k5xTQU557SHnNel19IkNYmC8rXGXpx5RgVhNzTfaoSgKUf5RRPlHcVrCaQf9zF5vJ7cql5yqHMrryil3lFPhqKC8WznFvywkPLuSi7PjWT8mDI/Hg1t141G1z52COjVbje2Fz08DqCpsaOj/EXhcgAKDLtVW+NvivV3dUTmd2hEHg7FjTxM6WYYwK+FX9Kbog+3U7Sih/Ps0gs/r5tPPqUL4IgmrbUV9tfb5BEZVD0dRFIZ3DmV451CePK8vf6QW88PWXH7dWUBGSQ1vLknjzSVpRASaGdc9grHdwxmaGEJ8iNVrT7QVNU7SiipJK6wirbCKXfmVbM+pOOKIadeIAAbGBzMwwcbA+GB6xwR5dWFZkCmIoNAgeoX2OuRnJZcmUfjCC5y70487nvpUXsyawFWvjaz63DQARxWsfhNWvQH12nawdJ8Mpz8OUW1jKkdFQT4AgRGyz/3JMncJJvTinpR+vovqtfno/I0EnZEo/+NCHAcfe5YXR3TgRc/U/NtKmg16zugTxRl9oqh2uPg1pYAft+axMq2YokoH32zK5ptN2uKuqCAzgxNCtMPmMYH0jg4iLsTaLPNd65xucstryauoI6e8lrzyOnLLa8ksrWFPYRXFVY7DXs6gU+geFajt8hQdRP94G31jg5q0Gt9X2GacR9Gbb+LYmULVsmUEnnaat0vyeW63j00DcDth08ewdDZUF2qnxQ6BM55s9Yb+J8vj1uYDG6U7RbPw6x+B51wn5d/vpfL3LFSnB9vZSRJYhWgiCatthdulfda17EPmbzYwfVAc0wfF4XC52bC/jGWpRaxNL2FHrp0Cu4OFO/JZuCO/8TJGvUJcsJWEUD8SQv0I9TPhbzbgb9bjbzJgMepxeTw4XB7qGz7qXG4KKurIrahrDKil1Ydf7PRXMTYL3SID6BYZQPfIQPrFaYfyLW184YIhJISQSy6m9IMPKX7r/wgYP15eyI7C41GhoWGD3tvbz6oqpPwAvz0JJWnaaSFJMOlR6DvDq71ST5Rfw6Kq6vIy7xbSjgSMjkV1q1TMT6dqeQ6eWhch53eXOaxCNIGE1bbiwCIH9X9bKrUcs0HPKd3COaVbOAC19W62Zmur6VPytNX0aYVV1Ls97C+pYX9JzUnfpp9JT4zNQmywlVibldhgK3EhVrpFBtA1wr9NjZYer7C//52yz7+gLjmZ6uXLCRg3ztsl+SxPw6gqeHlkNWOVtsI/e732vV+41oZq6FVgaLujkoFh2v+8vbjIy5W0L4GnxqGz6Cn7Zg81GwpQHW5CL+qJIn2vhTgqCatthXIgrLqPfr4WZDXpGdUljFFd/uy76HJ7yLfXkVVaS1ZZDdlltdhrnVQ5XNTUu6hyuKlzujHpdRj1CiaDDpNBj0mvIyLQTFywhZiGUBobbMFmNXbYEUVDWBghF19M6Zw5FL31Fv5jx3bY38WxHPSezRu/osJd8OvjkPqz9r3RD0bfCmNuA0uQFwpqXkHh2q5VlcVFqKoqf4fNyH9YNIrZQOncXdQmF1PscBN2eW90zbjQU4j2RsJqW6FvGKVxHX7PeW8x6HXEh/gRH+LHaKR5+MkKu+bvlH3xBXVbt1G9YiUBY0/1dkk+yWDUodMreNwqjhoXJksrPZXZ82Dps7D5U1A9oOhhyJVw2gMQGN06NbSCgIaRVaejDkd1NZaA5p8r35H59Q9HZ+5LySc7caSWUfT2VsKu6IPBVztbCOFlcuyhrbCGap9rZQ5Ze2YIDyfkoosAKHrzDdRWnPbRliiKgjVAmxJSW3nsuc4nra5Cm5P6+mDY9B8tqPaaCjevgWmvtqugCmA0mbEGaVuE2osLvVxN+2TpEUL4tf3R+Rtx5lVT+OZm6tLKvV2WED5Jwmpb4dcwallb/udiK9EuhV17DYqfH3Vbt2H/8Udvl+Oz/EO0UaiqssN3iWgWLgeseRteGwTLXwJXLSSMgr8vgos/g4geLXfbXtY4FaBE5q22FHNiEJG3DcYYF4CnxkXxh8nYl2SiHrLdsxAdm4TVtsIagjY5T4W6ci8XI1qSISKC8BtuAKDwxX/hrqr2ckW+KTBE22u9qqwFpsZ4PJD8Nbw5HBY+ALWlEN4DLv4c/r4QOo1s/tv0MYFhB+atFnu5kvbNEGwm8sYB+A2JBA/Yf8mgeM523EfYClqIjkjCaluhN4A1WPu6WkY62rvQq2ZhTEjAVVREybvverscnxRwYGS1tJlHVtOXwvsT4JtroDwDAqJg6qtw02rodU6bbEV1IgLDGzoCyMhqi1OMekJm9iDkgu4oRh2OPeUUvLaZur3l3i5NCJ8gYbUtCWrYorE807t1iBanM5uJeuB+AEo/+ghHWpqXK/I9/sHayGq1vZnCan4yfHI+/Gc65G0BUyBM+CfcvhmGXa29YexAgsL+7AggWp6iKPgPjyby1kEYIv3wVNZT/O9kKhbuR3V6jn0FQrRjElbbkrAu2ueSvd6tQ7SKgIkT8R8/DtXpJOeee/HUy2HBvzKYtKcv98m+kJdnwrc3wDtjYe9voDPCiBvgji0w/t5m2+K4rQmUOateYYzyJ/LWQfgNjQIVKpdmUfDaJhllFR2ahNW2JLQhrJame7cO0SoURSHmqafQh4Tg2LWLoldf83ZJPuXAZgAnHFZrSuGXh+GNYbBtLqBC3/Ph1nVw9gvgH958xbZBB+as2oskrLY2nUlP6MweWv/VQBOu4lqK30+m9KtU3NVOb5cnRKuTsNqWSFjtcIyRkcQ88zQApR9+SNXyFV6uyHdYA7XewzX24xxxdtbCilfh9UGw+k1wO6DzWLhuCcyc8+f/WQcXHB0DaCOrdVVVXq6mY7L2Cyf6H0PxHxUDCtRsLKDg5Y1Urc5FdcnUANFxSFhtS0K7ap9LZRpARxI4cSLBl1wMQM4991CfKXOWAQJDj7N1lccNmz/TRlJ/fUzrnRrZFy77Gmb9CHFDWrDatscvyEZITBwAuakpXq6m49JZDISc142IGwdiiPLDU+2k/Pu95L+4gaq1eRJaRYcgYbUtOTDiU54JLpm/2JFEPfgg1oED8VRUkH3LrXiqpZ1VYJgWVmvs9TgdR9mGWFVhz2JtTur3N4M9W1useN7bcONy6H5Gh1nhf7xie/YGIGfXDi9XIsyJQUTdNpjg6V3RBZlwVzgon5dG/ksbqF6fj+qW0CraLwmrbUlgtLYHueqBiixvVyNakc5kIu7119FHhOPYs4fcBx5E9XTsFyeLvxGzv7ZCv6Ko5vBnytkEH0+Dz/4GhTvAYoMznoTbNsKgS0En+7EfTXzvfgBk79rp5UoEgGLQETA6lph7h2Ob1gVdoBF3mYOyb/aQ/9JGKlfk4KmTTWNE+yNhtS1RlD9HV4v3eLcW0eqMUZHEv/46itFI5eLFFL/9trdL8rqwWG3P+vx0+8E/KE2Hr67W+qXuXw56M4y5DW7fAqfcAUbZg70pDoTV/LRUmbfqQxSjjsBT4oi+dzi2c5LQ+Rtxl9ZRMT+dvGfXUfbtHhwZdtmuWbQbElbbmsg+2uf8bd6tQ3iF3+DBRD/+GADFb7yJfdEiL1fkXQm9QwHI3FGinVBdDD/dB2+OgB3fAgoMvARu2wCTnwa/UO8V2wbZIqOI6NQZj9vF1sU/ebsc8T90Jj2BY+OJvn84wed1wxDph1rvpnpdPkVvbyV/9nrKvkujbnepzG0VbZqE1bYmdrD2OXeLV8sQ3hN8wQWEXHkFALn3P0DN5s1ersh7OvXVwmdWSin1v74Erw2Cde+CxwndTtfmpM54B4I7ebfQNkpRFIZNOx+AzQt/xCW9fn2SzqQnYFQMUXcNIeL6/vgNjUIx6XCXO6hek0fxnB3kPrma4k92UrU2D2dBNapHRl1F29GxtmRpD2IHaZ9zO25AERB1333Up++jesUKsq67nk5z5mDt38/bZbW6iDgrtiAnFXYjaYtW0sevEmIGafNSu4z3dnntQs8x41gx9xMqS4pIXbOCPuMmerskcQSKomDuEoy5SzDqeV2pSyunLqWU2l2leOz11O0ooa7hKIRiMWBKCMAUG4Ax1h9jTACGcCuKThYbCt+jqO1sUovdbsdms1FRUUFQUJC3y2l+jip4Lh5Q4R+pEBjl7YqEl3hqasi8/npqN2xEFxREwv+9hd+wYd4uq3WoKuxaAL89waaMPqyunEWkJYOZ1wRqjf11ctCoOa3876es+WYu3UeM4dx/POTtcsRxUlUVZ04VdbtKcaRXUJ9VedgtXBWjDmOMP8YYfwzhfhhCzehDLBhCLegsMrYlmtfx5DX562trzAEQ3gOKd2v7lwee6e2KhJfo/PxIeOddsq67jtrNm8n8+zXEvvgiQWdO9nZpLStrPSx+BDJXA9ArtJ611VdSWJdIcchwwiWoNruuQ0ey5pu5pK1fQ3HmfsI7dfZ2SeI4KIqCKT4QU3wgAKrbgzOvmvqcKpy5VTjzqnHmVaM6PdRnVlKfWXnodVgNGELM6G1mdBYDikWPzmJAZ9GjWAzaiKyiQMPArLV3KDo/Y2veTdGOSVhti2IHa2E1ZyP0kLDakekD/On04Qfk3HMvVb/9Rs6dd+J66CFCr7jc26U1v8IU+PUJSP1Z+95ghdE343fKHST9J4u9mwrZvDiTM67u690626Hort3pPnIMe9auYsWXn3DevY94uyRxEhS97qDwCqB6VFzFtTjztPDqKq3DVVqHu6wOT7ULtdaFs9aFM7dpPZ5Ndw6RsCqajYTVtihhhLaXecYqb1cifIDOaiX+9dfIf/ppyr+YS8Ezz+DMzyPyH/9AaQ+jjJX5sPQ52PQfrcewotN6pE54GIJiARhypsLeTYWkritgxNQu2CKsXi66/TnloitIW7eGvRvWkpuaQmyP3t4uSTQjRadgjPTDGOkHAw/+mcfhwl3m0MJrZT1qnRtPnQtPnavxaxoWbB2YWKiYpIexaD4SVtuizqdqn7PXg8sBBrN36xFep+j1RD/6KMaoaIpefZXSDz7ElV9AzFNPovPz83Z5J8ZRBStfg9VvgrOh6X/vaTDpcQjvdtBZIxOD6NQnlMydpWxbksXYC3u0fr3tXFhcAn1Pm8T2JYtZ/sXHXPjocyiy81eHoDMb0EUbMEb7e7sU0UG1g2GXDii8B/hHgKtOmwogBNq8tPAbbyDmuefAYMC+YAH7L7oIx9693i7t+LhdsPFjeGMI/PGCFlTjR8DVC+GiTw8JqgcMmJQAwO61+bilp2SLGP23S9AbjWTv3M7OP373djlCiA5CwmpbpCiQeIr29f4V3q1F+JzgGefR6cMPGrZmTWPfzAsp++or39/NRlVhx3fwf6Pgx9uhqgBCkuDCT+CaRZA4+qgXT+gdijXIhKPaxe61+a1TcwcTFB7J6AsuAeDXf/8fJdmZXq5ICNERSFhtqw5MBZCwKg7Df8QIusybh9+oUag1NeQ/8ihZN9yAs6DA26UdSlVh7+/a1qhfzYKSPWANhTOfhVvWQZ9ztTdox6DTKQw6XRtdXfnVHuwltS1deYc0fPoFJA4YjKveweL33/L9N0FCiDZPwmpbdWBkNWsdOOVFWRzKEB5Opw/+TeS996KYTFT/sZz0aedS/vXXvhMwitPgs5nwyQxtowtTAIy/H+7YCqNvAYPpuK5u0OmdiO5io77Oze//SZFdelqATqdn8vW3YTCbydm1g+1LFnu7JCFEOydhta2K6AW2TuCq1ZqjC3EYil5P2DV/J+nbb7D074/Hbifvn4+QOesqHPv2ea+wihz44XZ4awSkLQadEUbeBLdvgQkPgeXENvTQ6RQmXdUbg0lHzu5yti3Jbt66BQBBEZGcMvMyAJZ89B4lOVlerkgI0Z5JWG2rdDoYeJH29da53q1F+Dxzt250/uJzIu+7D8VioWbdOvZNP4+iN9/CU1PTeoXUlMKif2qLpzZ9DKobuk+Gm9fAWc9DQMRJ30RwpB+n/K07AKu/20tZftP6QorjM+Sc6ST06Y/TUcd3LzxJbaXd2yUJIdopCatt2UBtoQN7f9N6UQpxFIrBQNjfr6bL/B/xP+UU1Pp6it98k7Qzz6Rs7lxUp7PlbtxRCctegNcGwqo3tE4WnUZrK/wv++qIK/xPVN+xsST0CcXt9LB6XhvrhtBG6HR6zrnjPoIioijPz2PB6y/i8bi9XZYQoh2SsNqWhXWFhJFao/Rt//V2NaKNMMXHk/Dv94l7+SWMCQm4i4rJf/wJ9p59DmVzv8TjcDTfjTnrYPX/wWuDYMkz4LBDVH+49Cu4+udjrvA/UYqiMPbC7ig6hX1bi8ndU94it9PR+QeHcN59j2Awm8nYtpnln3/s7ZKEEO2QhNW27sDo6qaPQUY1RBMpikLQ2WfTdcF8ov75T/ShoTizssh//HHSJp1O8fvv4648dH/wJlNVSJkPbw6HXx6EmmII7QIXfAA3/AE9Jjdphf/JCIn2p88pMQCs+jbNdxaVtTMRnTpz5o13ALDhx2/ZsugnL1ckhGhvJKy2df3/BhYblKTJQitx3BSTidDLL6Pbr4uJeuhBDDExuIuLKXrpZdImTKTwpZdxFRUd35VmroWPzoEvL4OKTAiMgamvam2o+v9Nm2/dSoZPTcJg1lOwz07axsJWu92OpteYcYz+m/bG+bcP32bHst+8XJEQoj2RsNrWmQNh+HXa1yte+XNjZiGOg87Pj9Arr6TbLwuJee45TN264qmqouT990mbdDp5jz9O3e7Uo49OFuyELy6BDydDxkrQm2HsP+C2TTDsatAbW+8ONfC3mRnc0Hv19/+kkL2rtNVr6ChG/+1SBk+ZBqrKL2+/Rurald4uSQjRTihqOzs2ZrfbsdlsVFRUEBR0Yu1v2pyqIni1n7Zo5YrvoOsEb1ck2jjV46Fq6VJK3n2P2q1bG083xscTdNYUAqdMwdKnj7Y3fFkGLH2uoSuFCooOBl8O4x8AW5z37kQDl9PNz+8kk7mjFL1Rxzk3DyChd6i3y2qXVFXl1/ffYttvCzEYTcx89Flie/TydllCCB90PHlNwmp78dN9sO5dbcHV339p8fmAomNQVZXaDRso+ehjqlesQP3L4itjQjxBPa34ezZgDalBZ1Shz3SY8E+I6OHFqg/lcrpZ+N52MpJLMJh0TL9zMNFdbN4uq13yeNx8/+LTpG9ajzUwiIsef56w+E7eLksI4WMkrHbEsGrPg9cHaaOrl8yFnmd5uyLRznhqaqj64w/sPy2gaukS1Pq/LOhTwNI9Cb/RY7EOGoS5Vy9MnTqh6PXeK/h/uF0efvq/bWTuLMXsZ2DGPUMIiw3wdlntUn1dLf994iEK0vdgCQzi3LseIKHvAG+XJYTwIRJWO2JYBVj8GKx8FUK7ak3Wj3OrSiGOSlVh5/fw2xN4CvZRlWemsjSG2lJ/nIWHzgVVrFbM3btj6dkDc89eWHr2wNStG/rgYG36gBc4HW6+f3UzBfvs+NtMnH/vUILCrV6ppb2rrbTzzbOPUpCehqLTMfHqGxk0+WxvlyWE8BESVjtqWK2zwxtDoboQJj8NY27zdkWivchYBYsfhez12vf+kTD5Keh/Ieh0OPPyqNm0idqNG6ndvgNHaipqXd1hr0qxWDBGR2OIicYYE9v4tT7Ihs5qQbFY0Fmt6CwWlIbP/M8I7YGfn4i6aifzXtpEaW41tggr5987FL8geWPXEpz1Dha/+wYpK5YCMGHWdQw5e7p3ixJC+AQJqx01rAJs+gR+uBVMAVqrIB9Y4CLasKLd8OvjsLuhd6bRT3sTNOY2rRPFEahuN/UZmThSd1O3axeO3anU7d6FKzevWcqKevhhQq+4/IQvX1Xm4Nt/baSypI6IToGcf88QDCbfmbLQnqiqyqr/fsqab78EYMR5MznlwsvR+dAUESFE65Ow2pHDqscDH54J2eu0xS4X/sfbFYm2yJ6nrfDf/Im2Q5qihyFXwmkPQGD0CV+tp74eV34+zrx8XPl5OPPycObl48zPw1NdjVpbh6euDk9tTePXam3tIddzsmEVoLyghm//tZHaSifdh0Uy6eo+6PXSza8lqKrKyi8/Ze08LbDG9erLOXfcS2BouJcrE0J4i4TVjhxWAfK3w7vjQHXDRZ9B76nerki0FfU12rznVW+As0Y7rddUmPSY11b4H+kpqjnmvWallDL/ja14PCoxXW2ccU1fAkNPbHqBOLbdq5ez6N3Xqa+txRpk4+xb/0HngUO8XZYQwgskrHb0sAp/LrbyC9cWWwVEeLsi4cs8Htg5DxY/ru06BRA/QpuX2mmUV0trafu3FbP4wx3U17kx+xuYNKsPSQNkxK+llOXl8OOrsynanw6KwsjzLmTMzEtlWoAQHYyEVQmr4HLA+xOhYDv0PBsu/lx6r4pDqSrs/Q1+fQLyt2mn2RK0BXp9pneYv5mKohp+eX8HRZmVAAyclMDoGV3RG2RaQEtw1dez9D//ZutibS50RKfOjPrbJXQfPhqlFbfjFUJ4j4RVCaua/O3w/gRw18O5b8KQK7xdkfAlOZu0Ff77l2vfmwLhlNth9C1g8vdubV7gdnpYPW8vW3/PAiAyMZDJ1/bDFiGtrVrKrpXLWPz+W9TXalNOYrr15Kxb7yYkRhaGCtHeSViVsPqnFa/Cr49p3QGuXwrh3b1dkfC20nT4/WnY/o32vd4MI66DU+8G/zDv1uYD9m0t4rePU3DUuDBZ9Ey4ojfdhkZ6u6x2q7aqkk0/fc+mn76nvrYWg8lMj5Fj6D12AokDBnutJ68QomVJWJWw+iePGz4+FzJWQEQvuPY3MMuuPR1SVSEsewE2zgGPC1Bg4MUw4WEITvB2dT6lsrSORf/eQX56BQD9xsVxysxuGIwyr7Kl2IuLWPh/r5C1Y1vjaXG9+jDwjLPpMmQ4Zr+ON9ovRHsmYVXC6sEqC+C98VCZB33Og5kfdZi5iAJts4jVb8KqN8FZrZ3WdRKc/jjEyBaYR+J2e1j34z42LcwAICwugDOv60tItISmlqKqKrm7U0hZuYwdS3/FVe8AQKc3ENezN/F9+pE0eBjRXXvIiKsQbZyEVQmrh8pcCx+dAx4nnPGUNjdRtG8uB2z4EP54EWpKtNPihmohNWmcV0trSzJ3lvDrnJ3UVjrRGRQGTEhg2FmJmP2M3i6tXassKWbLogWkrVtNaW72QT+zRUbRc/RYeo4ZR0RikgRXIdogCasSVg9v3fvw0z2g6LTuAD3P8nZFoiV4PJD8FSx5Gsob2lCFdYNJj0Lvc2VU/QRUVzj4/T+7yNyhhX6Lv5ER05LoOzYWnWwk0OJKc3PI2rGNzB3b2LdpPU7Hn1v5WgKDiOzchdgevUno04+Y7j0xmqVXrhC+TsKqhNXDU1X44TZtVyKjH1w1XxtpE+2DqkLar9r2qAXbtdMCorVdpwZfAXqDV8trDzK2l7Dy6z2U5Wur10Oi/Rg9oyudB4TL6F4rcTrqSN+0gd2r/iB983rcTudBP9fpDUR37U5sz94ERUQSEBJKQEgY/iGh+AeHoDfI/4EQvkDCqoTVI3M74fOLtN6a/hFwzWIITfJ2VeJkZa3XQmrGCu17sw1OvRNG3ggmP29W1u543B52LM9l3Y/7qKvWglJMNxtjLuhGdJLNy9V1LK76eoqzMihI30N2yg6yU7ZTVVpy5AsoCn5BNkJiYolI7EJgWDgBoWH4B4fgF2TDYDJhMJkbPpswGE3S91WIFiJhVcLq0TkqYc5ZkJ8MoV1h1g9gi/d2VeJEFKXCb0/Arvna93ozjLxea0PlF+rd2to5R62LTb9ksPW3LNxODwBdh0TQa3QMcT1DMJqkc0BrU1WVisICsncmU7AvjarSUqrLS6kqK6W6rBSP233c16k3GNDpDej0enR6Pec/+ATRXaUFoBAnS8KqhNVjs+fBB5O1rTVtCXDl9xDW1dtViaay58LS52Dzp6B6tHnIgy6F0x6UNx6trKqsjrU/7mPX6jxoeDbVG3XEdQ+m32nxdO4fJlMEfIDq8VBbVUllSTElWRkUZ2U0htjq8jJqK+246utx1dfjcbuOeD2XPfuKhFUhmoGEVQmrTVOeBf+ZDqV7ISAKrpgHUX29XZU4mtoyWPEKrH0XXA2LTHqeoy2eiuzl3do6uJKcKpKXZpOxo4SqUkfj6TFdbfQYEUWXwZH4BZm8WKFoKo/H3RhctfDqxuN24XG5sEXHYDSZvV2iEG2ehFUJq01XVQifzNAW5FiC4fJvIV4WXfkcZ60WUFe8DHVao3o6jdHaUHUa6dXSxMFUVaUsr4Zdq/PY+nsWHrf2FKsoENs9mE59w0joHUp4fACKTkZchRAdk8+E1WeeeYYFCxawZcsWTCYT5eXlx7yMqqo88cQTvPfee5SVlTFy5Ejeeust+vZt2oifhNUTUFsGn82E7PXatqyXfCF9OH2F2wVbPoOlz0NlrnZaZB8tpHafLG2ofFxVWR17NhSStqGAwozKg35mDTQS1zOEsNgAQmL8CIn2xxZpRS+tsIQQHYDPhNXHHnuM4OBgsrOz+eCDD5oUVmfPns0zzzzDRx99RI8ePXj66af5448/2L17N4GBgce8vITVE+SogrmXwr5l2iKdmXOg1znerqrjUlXY/ZO2wr84VTvNlqBtjTrgQtDJ4p22pqKoloztJWSllJK9uwyX49DFPjqdgi3Sii3Cii3C78+vI60Ehlqkp6sQot3wmbB6wEcffcSdd955zLCqqiqxsbHceeed3H///QA4HA6ioqKYPXs2N9xwwzFvS8LqSXDWwdd/h90LAEVbrDPuXpDWLa2rYAcsfFB74wBgDYVx98Cwa8Aozc7bA7fLQ8G+CnLTKijLr6Y8v4ay/BqchwmwB+h0CoFhFmyRVoLCrFgCjJisBsx+BgwmHXpDw4deh6JXONyYu9nfSHh8QMvdMSGEaKLjyWs+1R1537595OfnM3ny5MbTzGYz48ePZ9WqVU0Kq+IkGC1w4cew8AFY/29Y+izkbYEZ74BF+ke2uOoSWPIMbJyjrfDXm2H0LVq/VPn9tyt6g47Y7iHEdg9pPE1VVarKHJQX1FBRVEtFYcPnhg+309P49Ynq1CeUabcPaoZ7IIQQrcenwmp+fj4AUVFRB50eFRVFRkbGYS/jcDhwOP5ceWu321uuwI5Ab4RzXoLYITD/Lu1Q9Lvj4Pz3IWGEt6trn9xObSvcZc//uXiqz3Q440kI6ezV0kTrURSFwFALgaEWEnof/DPVo1Jd4aCiUAurlaV1OKqd1NW4qK914XJ68Lg8uF0e3C4Vj+fwB8wCQmVkXgjR9hx3WH388cd54oknjnqe9evXM2zYsBMu6n97EqqqesQ+hc8999wx6xEnYPBlENUHvrwSyvbDh2dqUwLG3asFWtE89izWDvmX7NG+j+oPZz0PnU/1bl3Cpyg6hYAQCwEhFuJ6hhz7AkII0Y4cd1i99dZbufjii496ns6dO59QMdHR0YA2whoTE9N4emFh4SGjrQc8+OCD3H333Y3f2+12EhISTuj2xf+IHQw3rYCf7oVtX8Ky2Vq4Ov99CO/m7eratqJU+OUhSFusfe8XDpMegcFXyOIpIYQQ4i+OO6yGh4cTHh7eErWQlJREdHQ0ixcvZvDgwQDU19ezbNkyZs+efdjLmM1mzGZp0NxiLDY4/z3ocaY2LSB3E7w7Fk5/AoZfK4uvjldtGSydDevfB48LdEYYdaM2Yi3zUoUQQohDtGjSyMzMZMuWLWRmZuJ2u9myZQtbtmyhqqqq8Ty9evVi3rx5gHb4/8477+TZZ59l3rx5bN++nauuugo/Pz8uvfTSlixVHEu/C+Cm1Vr/VWcN/HwvzJkC+cnerqxtcNXD2vfg9SGw9m0tqPY4C25ZC5OflqAqhBBCHEGLLrB69NFH+fjjjxu/PzBaumTJEk477TQAdu/eTUVFReN57rvvPmpra7n55psbNwVYtGhRk3qsihZmi4MrvocNH2j9P7PWaouvhl4F4+6DoJhjXUPH43ZpUyiWPg8VmdppEb1gynPQdaJ3axNCCCHaANluVZyYimxY9E/YoY2KY7DAiOvglLvAP8y7tfkCjwdSvoffn/lz8VRANIy/F4ZcBXqfasQhhBBCtCqf2xSgNUlYbWX7V8JvT0LWGu17UyCMvlnrD9oRD227nbDze1j56p9TJKwhcOrd2hxfk59XyxNCCCF8gYRVCautS1Uh7VcttOZv006zBGvTA4ZfA8GdvFld66gtg40fw7r3wJ6jnWYKhDG3wqibwSJ/i0IIIcQBElYlrHqHxwMpP2i7MB3Yz17RQc+ztdCaNL59tWXyeCBzNWz5XJsO4azWTvePgBHXayOpfqHerVEIIYTwQRJWJax6l8cNqQth7bt/7m8PWojrNVXbnanz2LY5b9NZBxkrIHURpP4M5Zl//iyyrzb9of/fwCDt1IQQQogjkbAqYdV3FO3WDo0nfw115X+ebg2FXudAn/O0dlgGk7cqPLracq23bPZGyF4P+5drrbsOMAVCvxkw8FLoNAqOsNOaEEIIIf4kYVXCqu9xO2HfH9rio13zoabkz5+ZArSg1/lUbcQ1ZqB3tnR11UNBMuRsguwNkLPxz5X8fxUYC93P0DZK6DJBFk0JIYQQx0nCqoRV3+Z2QcZKLbim/AjVhQf/3BQA8cMhqi9E9oHI3hDRE0z+J3/bqgrVRdrh+7L92ufyDMjfri0Oc9cfepmQJIgbCvHDIPEUiO4vI6hCCCHESZCwKmG17fB4oHAH7F/x58dfpws0UrSuAqFJYEvQFi5ZQ7XPpgDQm7QP1Q311VBfBY4q7evqIi2QlmdqH389jP+/rKFaMD0QTmOHSN9YIYQQoplJWJWw2nZ5PFC4U5sfWrRL+7owRQuczUaBoFgt/AYnQkgihHWH+KHaKKqMmgohhBAt6njyWhtcji3aNZ0OovtpH39VVaTNHy1NB3se1JZCTan2ub5GO3zvrteCpikAzIHatAFTgNaUP7iTFkqDE8EWL6v1hRBCiDZCwqpoGwIitI/EMd6uRAghhBCtSOftAoQQQgghhDgSCatCCCGEEMJnSVgVQgghhBA+S8KqEEIIIYTwWRJWhRBCCCGEz5KwKoQQQgghfJaEVSGEEEII4bMkrAohhBBCCJ8lYVUIIYQQQvgsCatCCCGEEMJnSVgVQgghhBA+S8KqEEIIIYTwWRJWhRBCCCGEz5KwKoQQQgghfJaEVSGEEEII4bMkrAohhBBCCJ8lYVUIIYQQQvgsCatCCCGEEMJnSVgVQgghhBA+S8KqEEIIIYTwWRJWhRBCCCGEz5KwKoQQQgghfJaEVSGEEEII4bMkrAohhBBCCJ8lYVUIIYQQQvgsCatCCCGEEMJnSVgVQgghhBA+S8KqEEIIIYTwWRJWhRBCCCGEz5KwKoQQQgghfJaEVSGEEEII4bMkrAohhBBCCJ8lYVUIIYQQQvgsCatCCCGEEMJnSVgVQgghhBA+S8KqEEIIIYTwWRJWhRBCCCGEz5KwKoQQQgghfJaEVSGEEEII4bMkrAohhBBCCJ8lYVUIIYQQQvgsCatCCCGEEMJnSVgVQgghhBA+S8KqEEIIIYTwWQZvF9DcVFUFwG63e7kSIYQQQghxOAdy2oHcdjTtLqxWVlYCkJCQ4OVKhBBCCCHE0VRWVmKz2Y56HkVtSqRtQzweD7m5uQQGBqIoirfLEQ3sdjsJCQlkZWURFBTk7XJEC5HHueOQx7rjkMe6Y2jtx1lVVSorK4mNjUWnO/qs1HY3sqrT6YiPj/d2GeIIgoKC5MmuA5DHueOQx7rjkMe6Y2jNx/lYI6oHyAIrIYQQQgjhsySsCiGEEEIInyVhVbQKs9nMY489htls9nYpogXJ49xxyGPdcchj3TH48uPc7hZYCSGEEEKI9kNGVoUQQgghhM+SsCqEEEIIIXyWhFUhhBBCCOGzJKwKIYQQQgifJWFVtIhnnnmGMWPG4OfnR3BwcJMuo6oqjz/+OLGxsVitVk477TR27NjRsoWKk1ZWVsYVV1yBzWbDZrNxxRVXUF5eftTLXHXVVSiKctDHqFGjWqdg0WT/93//R1JSEhaLhaFDh7J8+fKjnn/ZsmUMHToUi8VCly5deOedd1qpUnEyjudxXrp06SH/u4qisGvXrlasWJyIP/74g2nTphEbG4uiKHz33XfHvIyv/E9LWBUtor6+npkzZ3LTTTc1+TIvvPACL7/8Mm+++Sbr168nOjqaM844g8rKyhasVJysSy+9lC1btrBw4UIWLlzIli1buOKKK455uSlTppCXl9f48dNPP7VCtaKpvvzyS+68804efvhhNm/ezNixYznrrLPIzMw87Pn37dvH2WefzdixY9m8eTMPPfQQt99+O998800rVy6Ox/E+zgfs3r37oP/f7t27t1LF4kRVV1czcOBA3nzzzSad36f+p1UhWtCcOXNUm812zPN5PB41Ojpaff755xtPq6urU202m/rOO++0YIXiZOzcuVMF1DVr1jSetnr1ahVQd+3adcTLzZo1S50+fXorVChO1IgRI9Qbb7zxoNN69eqlPvDAA4c9/3333af26tXroNNuuOEGddSoUS1Wozh5x/s4L1myRAXUsrKyVqhOtBRAnTdv3lHP40v/0zKyKnzCvn37yM/PZ/LkyY2nmc1mxo8fz6pVq7xYmTia1atXY7PZGDlyZONpo0aNwmazHfNxW7p0KZGRkfTo0YPrrruOwsLCli5XNFF9fT0bN2486P8RYPLkyUd8XFevXn3I+c8880w2bNiA0+lssVrFiTuRx/mAwYMHExMTw6RJk1iyZElLlim8xJf+pyWsCp+Qn58PQFRU1EGnR0VFNf5M+J78/HwiIyMPOT0yMvKoj9tZZ53FZ599xu+//85LL73E+vXrmThxIg6HoyXLFU1UXFyM2+0+rv/H/Pz8w57f5XJRXFzcYrWKE3cij3NMTAzvvfce33zzDd9++y09e/Zk0qRJ/PHHH61RsmhFvvQ/bWjVWxNt2uOPP84TTzxx1POsX7+eYcOGnfBtKIpy0Peqqh5ymmh5TX2s4dDHDI79uF100UWNX/fr149hw4aRmJjIggULOP/880+watHcjvf/8XDnP9zpwrccz+Pcs2dPevbs2fj96NGjycrK4l//+hfjxo1r0TpF6/OV/2kJq6LJbr31Vi6++OKjnqdz584ndN3R0dGA9k4uJiam8fTCwsJD3tmJltfUx3rbtm0UFBQc8rOioqLjetxiYmJITExkz549x12raH7h4eHo9fpDRteO9v8YHR192PMbDAbCwsJarFZx4k7kcT6cUaNG8emnnzZ3ecLLfOl/WsKqaLLw8HDCw8Nb5LqTkpKIjo5m8eLFDB48GNDmUy1btozZs2e3yG2KI2vqYz169GgqKipYt24dI0aMAGDt2rVUVFQwZsyYJt9eSUkJWVlZB71REd5jMpkYOnQoixcvZsaMGY2nL168mOnTpx/2MqNHj+bHH3886LRFixYxbNgwjEZji9YrTsyJPM6Hs3nzZvnfbYd86n+61Zd0iQ4hIyND3bx5s/rEE0+oAQEB6ubNm9XNmzerlZWVjefp2bOn+u233zZ+//zzz6s2m0399ttv1eTkZPWSSy5RY2JiVLvd7o27IJpoypQp6oABA9TVq1erq1evVvv3769OnTr1oPP89bGurKxU//GPf6irVq1S9+3bpy5ZskQdPXq0GhcXJ4+1D5k7d65qNBrVDz74QN25c6d65513qv7+/ur+/ftVVVXVBx54QL3iiisaz5+enq76+fmpd911l7pz5071gw8+UI1Go/r111976y6IJjjex/mVV15R582bp6ampqrbt29XH3jgARVQv/nmG2/dBdFElZWVja/FgPryyy+rmzdvVjMyMlRV9e3/aQmrokXMmjVLBQ75WLJkSeN5AHXOnDmN33s8HvWxxx5To6OjVbPZrI4bN05NTk5u/eLFcSkpKVEvu+wyNTAwUA0MDFQvu+yyQ9ra/PWxrqmpUSdPnqxGRESoRqNR7dSpkzpr1iw1MzOz9YsXR/XWW2+piYmJqslkUocMGaIuW7as8WezZs1Sx48ff9D5ly5dqg4ePFg1mUxq586d1bfffruVKxYn4nge59mzZ6tdu3ZVLRaLGhISop566qnqggULvFC1OF4H2o7978esWbNUVfXt/2lFVRtmywohhBBCCOFjpHWVEEIIIYTwWRJWhRBCCCGEz5KwKoQQQgghfJaEVSGEEEII4bMkrAohhBBCCJ8lYVUIIYQQQvgsCatCCCGEEMJnSVgVQgghhBA+S8KqEEIIIYTwWRJWhRBCCCGEz5KwKoQQQgghfJaEVSGEEEII4bP+H2uucQIjy7WhAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=[8,8]); plt.title('Minimal Dubins paths'); plt.axis('equal'); \n", "for geo in hfmOut['geodesics']: plt.plot(geo[0],geo[1]) \n", "savefig(fig,'Paths_NoDrift.png')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:06.621586Z", "iopub.status.busy": "2024-02-23T18:47:06.621485Z", "iopub.status.idle": "2024-02-23T18:47:06.686909Z", "shell.execute_reply": "2024-02-23T18:47:06.686689Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[5,4]); plt.title('Minimal Dubins paths'); plt.axis('equal'); \n", "for geo in hfmOut['geodesics']: quiver(geo[0],geo[1],np.cos(geo[2]),np.sin(geo[2]),subsampling=(50,))\n", "savefig(fig,'Directions_NoDrift.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Adding a constant drift\n", "\n", "We add a drift which pushes the boat in a constant direction.\n", "The total boat velocity, with respect to the ground absolute referential, is the sum \n", "$$\n", " V_\\mathrm{tot} = (v_0 + \\cos(\\theta), v_1 + \\sin (\\theta))\n", "$$\n", "of the relative velocity $(\\cos(\\theta),\\sin(\\theta))$ and of the drift $v=(v_0,v_1)$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:06.688288Z", "iopub.status.busy": "2024-02-23T18:47:06.688195Z", "iopub.status.idle": "2024-02-23T18:47:06.695037Z", "shell.execute_reply": "2024-02-23T18:47:06.694739Z" } }, "outputs": [], "source": [ "X,Y,Theta = hfmIn.Grid()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:06.696397Z", "iopub.status.busy": "2024-02-23T18:47:06.696318Z", "iopub.status.idle": "2024-02-23T18:47:06.719353Z", "shell.execute_reply": "2024-02-23T18:47:06.718948Z" } }, "outputs": [], "source": [ "drift = xp.array([0.3,0.4])\n", "velocity = ad.asarray([drift[0]+np.cos(Theta), drift[1]+np.sin(Theta)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the anisotropy introduced in the model: the vehicle moves at speed $1+\\|v\\|$ when pushed by the drift, and at speed $1-\\|v\\|$ in the opposite direction. \n", "\n", "Our implementation of the Dubins model involves a relaxation parameter $\\epsilon$, which should remain substantially smaller than the $\\min/\\max$ speed ratio, elsewise numerical diffusion may corrupt the results. By default $\\epsilon = 0.1$. (When reducing $\\epsilon$, the number of orientations for the angular domain discretization should be increased.)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:06.720898Z", "iopub.status.busy": "2024-02-23T18:47:06.720819Z", "iopub.status.idle": "2024-02-23T18:47:06.722823Z", "shell.execute_reply": "2024-02-23T18:47:06.722604Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min/Max speed ratio : 0.3333333333333333\n" ] } ], "source": [ "print('Min/Max speed ratio : ', (1-np.linalg.norm(drift))/(1+np.linalg.norm(drift)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The total velocity $V_\\mathrm{tot}$ is provided to the HFM library, in polar form." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:06.724154Z", "iopub.status.busy": "2024-02-23T18:47:06.724067Z", "iopub.status.idle": "2024-02-23T18:47:06.749583Z", "shell.execute_reply": "2024-02-23T18:47:06.749204Z" } }, "outputs": [], "source": [ "hfmIn.update({\n", " 'speed':np.linalg.norm(velocity,axis=0), # total velocity norm\n", " 'theta':np.arctan2(velocity[1],velocity[0]), # total velocity orientation\n", "})\n", "hfmIn['xi'] = xi * hfmIn['speed'] # Needed to enforce the curvature bound constraint in the moving frame" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "TODO", "GPU_geodesic_needs_too_large_target_tolerance" ] }, "source": [ "Let us give a sketch of justification for the above expression.\n", "The metric of the standard Dubins model reads,\n", "$$\n", " F_{(x,n)}(\\dot x,\\dot n) = \\|\\dot x\\| \\qquad \n", " \\text{if } \\dot x \\propto n \\text{ and } \\xi \\|\\dot n\\| \\leq \\|\\dot x\\|,\n", "$$\n", "and $F_{(x,n)}(\\dot x,\\dot n) = \\infty$ otherwise. By $\\dot x \\propto n$ we mean that the physical velocity $\\dot x$ is positively proportional to the vehicle orientation $n$.\n", "\n", "The modified variant, featuring a drift and referred to as the Zermelo-Dubins model, reads\n", "$$\n", " {\\mathbf F}_{(x,n)}(\\dot {\\mathbf x},\\dot n) = \\|\\dot {\\mathbf x}\\|/\\|V_\\mathrm{tot}\\| \\qquad \n", " \\text{if } \\dot {\\mathbf x} \\propto V_\\mathrm{tot} \\text{ and } \\xi \\|V_\\mathrm{tot}\\| \\|\\dot n\\| \\leq \\|\\dot {\\mathbf x}\\|.\n", "$$\n", "The three occurences of $V_\\mathrm{tot}$ in this expression correspond to the three modified parameters in the model.\n", "\n", "Finally, we note that the two metrics $F$ and $\\mathbf F$ are designed so that \n", "$$\n", " F_{(x,n)}(\\dot x,\\dot n) = {\\mathbf F}_{(x,n)}(\\dot {\\mathbf x},\\dot n) \\qquad \\text{if } \\dot x = n \\text{ and } \\dot {\\mathbf x} = V_\\mathrm{tot}.\n", "$$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:06.751066Z", "iopub.status.busy": "2024-02-23T18:47:06.750985Z", "iopub.status.idle": "2024-02-23T18:47:06.752886Z", "shell.execute_reply": "2024-02-23T18:47:06.752686Z" } }, "outputs": [], "source": [ "if hfmIn.mode=='gpu':hfmIn['geodesic_targetTolerance']=38 if large_instances else 25 # TODO : improve GPU geodesic stopping criterion" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:06.754040Z", "iopub.status.busy": "2024-02-23T18:47:06.753967Z", "iopub.status.idle": "2024-02-23T18:47:14.751843Z", "shell.execute_reply": "2024-02-23T18:47:14.751518Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field eps defaults to 0.1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 4.6303 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 10.985\n" ] } ], "source": [ "hfmOut = hfmIn.Run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Among the optimal trajectories, illustrated below, we see two distinct types of turns:\n", "* Turns with the wind in the back, which are very large. \n", "* Turns against the wind, which are contracted. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:14.753349Z", "iopub.status.busy": "2024-02-23T18:47:14.753257Z", "iopub.status.idle": "2024-02-23T18:47:14.820717Z", "shell.execute_reply": "2024-02-23T18:47:14.820485Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[5,4]); plt.title('Minimal Dubins-Zermelo paths, constant drift'); plt.axis('equal'); \n", "for geo in hfmOut['geodesics']: plt.plot(geo[0],geo[1]) \n", "savefig(fig,'Paths_ConstantDrift.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The orientation of the vehicle $n$, is not aligned with the physical velocity $\\dot x$ in the absolute frame of reference, in which the vehicle moves forward like a crab." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:14.822111Z", "iopub.status.busy": "2024-02-23T18:47:14.822018Z", "iopub.status.idle": "2024-02-23T18:47:14.898130Z", "shell.execute_reply": "2024-02-23T18:47:14.897911Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[5,4]); plt.title('Minimal Dubins-Zermelo paths, constant drift'); plt.axis('equal'); \n", "for geo in hfmOut['geodesics']: quiver(geo[0],geo[1],np.cos(geo[2]),np.sin(geo[2]),subsampling=(50,))\n", "savefig(fig,'Directions_ConstantDrift.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to check the model, we display the trajectories in the vehicle referential, offset by the total drift:\n", "$$\n", " \\gamma(t) - t v.\n", "$$\n", "By construction, these trajectories are minimal paths between their endpoints for the standard Dubins model.\n", "\n", "For that purpose, we need to know the time parametrization of the minimal path $\\gamma$. This is achieved by interpolating the value function." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:14.899472Z", "iopub.status.busy": "2024-02-23T18:47:14.899380Z", "iopub.status.idle": "2024-02-23T18:47:14.901307Z", "shell.execute_reply": "2024-02-23T18:47:14.901083Z" } }, "outputs": [], "source": [ "aX,aY,aTheta = hfmIn.Axes()\n", "aTheta = np.concatenate([aTheta-2.*np.pi,aTheta,aTheta+2*np.pi])" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:14.902513Z", "iopub.status.busy": "2024-02-23T18:47:14.902422Z", "iopub.status.idle": "2024-02-23T18:47:14.913287Z", "shell.execute_reply": "2024-02-23T18:47:14.913051Z" } }, "outputs": [], "source": [ "TravelTime = UniformGridInterpolation( (aX,aY,aTheta), np.tile(hfmOut['values'],(1,1,3)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the value function is discontinuous at the seed point, since the Dubins-Zermelo model is not locally controllable. For this reason, we will avoid interpolation too close to the seed point, at the end of the geodesic (which is backtracked from the tip to the seed).\n", "\n", "In the moving frame, the optimal trajectories are concatenations straight lines and circle arcs, as illustrated below (up to numerical imprecisions)." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:14.914648Z", "iopub.status.busy": "2024-02-23T18:47:14.914568Z", "iopub.status.idle": "2024-02-23T18:47:14.979242Z", "shell.execute_reply": "2024-02-23T18:47:14.979012Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[5,4]); plt.title(\"Water referential, constant drift, \"); plt.axis('equal'); \n", "for geo in hfmOut['geodesics']: \n", " geo = geo[:,:-20] # Exclude the last points of the geodesic, close to the seed point.\n", " geo[2]=np.mod(geo[2],2*np.pi)\n", " time = TravelTime(geo)\n", " plt.plot(*(geo[:2]-time*drift.reshape(2,1))) \n", "savefig(fig,'PathsInWater_ConstantDrift.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "The orientation $\\theta$ of the vehicle, the third component of the geodesic, is aligned with the the trajectory in the moving frame, which follows the drift (illustration below). " ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:14.980564Z", "iopub.status.busy": "2024-02-23T18:47:14.980481Z", "iopub.status.idle": "2024-02-23T18:47:15.055645Z", "shell.execute_reply": "2024-02-23T18:47:15.055423Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[5,4]); plt.title(\"Water referential, constant drift\"); plt.axis('equal'); \n", "for geo in hfmOut['geodesics']: \n", " geo = geo[:,:-20] # Exclude the last points of the geodesic, close to the seed point.\n", " geo[2]=np.mod(geo[2],2*np.pi)\n", " time = TravelTime(geo)\n", " quiver(*(geo[:2]-time*drift.reshape(2,1)), np.cos(geo[2]),np.sin(geo[2]),subsampling=(30,))\n", "savefig(fig,'DirectionsInWater_ConstantDrift.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.1 Consistency test : unoriented seeds and tips.\n", "\n", "In order to validate the consistency of the discretization, we consider the case where the vehicle orientation at the seeds and tips is arbitrary. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:15.056851Z", "iopub.status.busy": "2024-02-23T18:47:15.056773Z", "iopub.status.idle": "2024-02-23T18:47:15.058673Z", "shell.execute_reply": "2024-02-23T18:47:15.058478Z" } }, "outputs": [], "source": [ "hfmIn.update({\n", " 'seed_Unoriented':[0,0],\n", " 'tips_Unoriented':[(np.cos(t),np.sin(t)) for t in np.linspace(0,2*np.pi,20)] \n", "})" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:15.059809Z", "iopub.status.busy": "2024-02-23T18:47:15.059730Z", "iopub.status.idle": "2024-02-23T18:47:23.557066Z", "shell.execute_reply": "2024-02-23T18:47:23.556739Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field eps defaults to 0.1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 5.12645 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 10.985\n" ] } ], "source": [ "hfmOut = hfmIn.Run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In that case, the optimal trajectory is to go in a straight line, from seed to tip. \n", "" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:23.558577Z", "iopub.status.busy": "2024-02-23T18:47:23.558460Z", "iopub.status.idle": "2024-02-23T18:47:23.621277Z", "shell.execute_reply": "2024-02-23T18:47:23.621056Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[4,4]); plt.title(\"Zermelo's minimal paths, constant drift\"); plt.axis('equal'); \n", "for geo in hfmOut['geodesics_Unoriented']: plt.plot(geo[0],geo[1]) \n", "savefig(fig,'Paths_UnorientedConstantDrift.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the boat orientation is not aligned with its trajectory. Instead, the boat moves 'like a crab', sideways, maintaining a constant angle with the drift." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:23.622618Z", "iopub.status.busy": "2024-02-23T18:47:23.622538Z", "iopub.status.idle": "2024-02-23T18:47:23.694917Z", "shell.execute_reply": "2024-02-23T18:47:23.694647Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[4,4]); plt.title(\"Zermelo's orientation, constant drift\"); plt.axis('equal'); \n", "for geo in hfmOut['geodesics_Unoriented']: \n", " quiver(geo[0],geo[1],np.cos(geo[2]),np.sin(geo[2]),subsampling=(30,)) \n", "savefig(fig,'Directions_UnorientedConstantDrift.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The reachable set, in a given time $t$, is the disk of radius $t$ offset by the drift distance. (With arbitrary seed and tip orientation.)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:23.696266Z", "iopub.status.busy": "2024-02-23T18:47:23.696164Z", "iopub.status.idle": "2024-02-23T18:47:23.752098Z", "shell.execute_reply": "2024-02-23T18:47:23.751805Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[4,4]); plt.title(\"Zermelo's arrival time, constant drift\"); plt.axis('equal')\n", "plt.contourf(X[:,:,0],Y[:,:,0],np.min(hfmOut['values'],axis=2));\n", "savefig(fig,'Times_UnorientedConstantDrift.png')" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:23.753695Z", "iopub.status.busy": "2024-02-23T18:47:23.753582Z", "iopub.status.idle": "2024-02-23T18:47:23.755495Z", "shell.execute_reply": "2024-02-23T18:47:23.755212Z" } }, "outputs": [], "source": [ "hfmIn.pop('seed_Unoriented',None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Non-constant drift\n", "\n", "The drift imposed on the vehicle may depend on both its position $x$ and orientation $n$. However, for illustration purposes, we limit our attention to two examples where it only depends either:\n", "* On the physical position $x$, as in the classical model of Zermelo.\n", "* On the orientation $n$, which may model aerodynamical effects." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.1 Position dependent drift\n", "\n", "We consider a drift depending only on the physical position. Note that a similar example is presented in [A.III - Rander metrics. Application to Zermelo's navigation problem, and image segmentation](http://nbviewer.jupyter.org/urls/rawgithub.com/Mirebeau/HFM_Python_Notebooks/master/A6_Rander.ipynb), but without the constraint on the radius of curvature." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:23.757043Z", "iopub.status.busy": "2024-02-23T18:47:23.756949Z", "iopub.status.idle": "2024-02-23T18:47:23.791183Z", "shell.execute_reply": "2024-02-23T18:47:23.790920Z" } }, "outputs": [], "source": [ "R = np.sqrt(X**2+Y**2)\n", "driftMult = 0.6*np.sin(np.pi*X)*np.sin(np.pi*Y)\n", "driftX,driftY = driftMult*X/R, driftMult*Y/R" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:23.792616Z", "iopub.status.busy": "2024-02-23T18:47:23.792540Z", "iopub.status.idle": "2024-02-23T18:47:23.848821Z", "shell.execute_reply": "2024-02-23T18:47:23.848565Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[4,4]); plt.title(\"Drift = Drift(x) vector field.\"); plt.axis('equal')\n", "quiver(X[:,:,0],Y[:,:,0], driftX[:,:,0], driftY[:,:,0],subsampling=(10,10));\n", "savefig(fig,'PositionDrift.png')" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:23.850142Z", "iopub.status.busy": "2024-02-23T18:47:23.850062Z", "iopub.status.idle": "2024-02-23T18:47:23.875540Z", "shell.execute_reply": "2024-02-23T18:47:23.875143Z" } }, "outputs": [], "source": [ "velocity = ad.array([driftX+np.cos(Theta), driftY+np.sin(Theta)])" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:23.877038Z", "iopub.status.busy": "2024-02-23T18:47:23.876961Z", "iopub.status.idle": "2024-02-23T18:47:23.910626Z", "shell.execute_reply": "2024-02-23T18:47:23.910244Z" } }, "outputs": [], "source": [ "hfmIn.update({\n", " 'speed':np.linalg.norm(velocity,axis=0), # total velocity norm\n", " 'theta':np.arctan2(velocity[1],velocity[0]), # total velocity orientation\n", "})\n", "hfmIn['xi'] = xi * hfmIn['speed']\n", "if large_instances: hfmIn['eps'] = 0.07 # Smaller relaxation parameter slightly reduces numerical diffusion." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:23.912053Z", "iopub.status.busy": "2024-02-23T18:47:23.911976Z", "iopub.status.idle": "2024-02-23T18:47:33.584971Z", "shell.execute_reply": "2024-02-23T18:47:33.584653Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field eps defaults to 0.1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 6.20086 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 10.985\n" ] } ], "source": [ "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:33.586512Z", "iopub.status.busy": "2024-02-23T18:47:33.586399Z", "iopub.status.idle": "2024-02-23T18:47:33.643126Z", "shell.execute_reply": "2024-02-23T18:47:33.642872Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[4,4]); plt.title('Minimal Dubins-Zermelo paths, Drift(x)'); plt.axis('equal'); \n", "for geo in hfmOut['geodesics']: plt.plot(geo[0],geo[1]) \n", "savefig(fig,'Paths_PositionDrift.png')" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:33.644442Z", "iopub.status.busy": "2024-02-23T18:47:33.644346Z", "iopub.status.idle": "2024-02-23T18:47:33.655627Z", "shell.execute_reply": "2024-02-23T18:47:33.655392Z" } }, "outputs": [], "source": [ "time_I = UniformGridInterpolation( (aX,aY,aTheta), np.tile(hfmOut['values'],(1,1,3)))\n", "driftX_I = UniformGridInterpolation( (aX,aY), driftX[:,:,0])\n", "driftY_I = UniformGridInterpolation( (aX,aY), driftY[:,:,0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the moving frame of reference, the radius of curvature obeys the prescribed bound.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:33.656951Z", "iopub.status.busy": "2024-02-23T18:47:33.656874Z", "iopub.status.idle": "2024-02-23T18:47:33.745789Z", "shell.execute_reply": "2024-02-23T18:47:33.745574Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[4.5,4]); plt.title(\"Water referential, Drift(x)\"); plt.axis('equal'); \n", "for geo in hfmOut['geodesics']:\n", " geo = np.flip(geo[:,:-10],axis=1) # Exclude the last points of the geodesic, close to the seed point.\n", " geo[2]=np.mod(geo[2],2*np.pi)\n", " time_G = time_I(geo)\n", " timesteps = np.concatenate((time_G[:1],np.diff(time_G)))\n", " driftX_G = driftX_I(geo[:2])\n", " driftY_G = driftY_I(geo[:2])\n", " plt.plot(geo[0]-np.cumsum(timesteps*driftX_G), geo[1]-np.cumsum(timesteps*driftY_G)) \n", "savefig(fig,'PathsInWater_PositionDrift.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.2 Orientation dependent drift\n", "\n", "We consider a boat whose drift is dependent on the orientation. This may arise in practice if the drift due to the wind, which is weaker when the boat faces the wind, and stronger when it is orthogonal to the wind.\n", "Note that a related problem, modeling a sailboat and involving the Reeds-Shepp forward model, is presented in [B.I - Curvature penalized planar paths](http://nbviewer.jupyter.org/urls/rawgithub.com/Mirebeau/HFM_Python_Notebooks/master/A4_Curvature.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The drift, velocity, and various input fields only depend on the orientation, through the variable $\\theta$. Thus we do not need a full $X,Y,\\Theta$ grid." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:33.747203Z", "iopub.status.busy": "2024-02-23T18:47:33.747109Z", "iopub.status.idle": "2024-02-23T18:47:33.748850Z", "shell.execute_reply": "2024-02-23T18:47:33.748578Z" } }, "outputs": [], "source": [ "Theta2 = Theta[0,0]" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:33.750048Z", "iopub.status.busy": "2024-02-23T18:47:33.749968Z", "iopub.status.idle": "2024-02-23T18:47:33.751683Z", "shell.execute_reply": "2024-02-23T18:47:33.751488Z" } }, "outputs": [], "source": [ "driftX = 0.1*np.cos(Theta2)**2+0.5*np.sin(Theta2)**2\n", "driftY = 0.4*driftX" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:33.752846Z", "iopub.status.busy": "2024-02-23T18:47:33.752761Z", "iopub.status.idle": "2024-02-23T18:47:33.851144Z", "shell.execute_reply": "2024-02-23T18:47:33.850924Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[4.5,4]); plt.title(r\"Drift vector field. Drift($\\theta$)\"); plt.axis('equal'); plt.xlim(-2,3); plt.ylim(-1,2);\n", "plt.quiver(np.cos(Theta2),np.sin(Theta2), driftX,driftY,scale=1);\n", "savefig(fig,'OrientationDrift.png')" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:33.852453Z", "iopub.status.busy": "2024-02-23T18:47:33.852366Z", "iopub.status.idle": "2024-02-23T18:47:33.854726Z", "shell.execute_reply": "2024-02-23T18:47:33.854517Z" } }, "outputs": [], "source": [ "velocity = ad.array([driftX+np.cos(Theta2), driftY+np.sin(Theta2)])" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:33.855959Z", "iopub.status.busy": "2024-02-23T18:47:33.855885Z", "iopub.status.idle": "2024-02-23T18:47:33.858673Z", "shell.execute_reply": "2024-02-23T18:47:33.858472Z" } }, "outputs": [], "source": [ "hfmIn.update({\n", " 'speed':np.linalg.norm(velocity,axis=0), # total velocity norm\n", " 'theta':np.arctan2(velocity[1],velocity[0]), # total velocity orientation\n", "})\n", "hfmIn['xi'] = xi * hfmIn['speed']\n", "if large_instances: hfmIn['geodesic_targetTolerance']=50 # One very stressed geodesic" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:33.859834Z", "iopub.status.busy": "2024-02-23T18:47:33.859760Z", "iopub.status.idle": "2024-02-23T18:47:41.325358Z", "shell.execute_reply": "2024-02-23T18:47:41.325059Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Field verbosity defaults to 1\n", "Field eps defaults to 0.1\n", "Field order defaults to 1\n", "Field seedRadius defaults to 0\n", "Fast marching solver completed in 4.74538 s.\n", "Field geodesicSolver defaults to Discrete\n", "Field geodesicStep defaults to 0.25\n", "Field geodesicWeightThreshold defaults to 0.001\n", "Field geodesicVolumeBound defaults to 10.985\n" ] } ], "source": [ "hfmOut = hfmIn.Run()" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:41.326793Z", "iopub.status.busy": "2024-02-23T18:47:41.326708Z", "iopub.status.idle": "2024-02-23T18:47:41.394250Z", "shell.execute_reply": "2024-02-23T18:47:41.393989Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[5,4]); plt.title(r\"Minimal Dubins-Zermelo paths. Drift($\\theta$)\"); plt.axis('equal'); \n", "for geo in hfmOut['geodesics']: plt.plot(geo[0],geo[1]) \n", "savefig(fig,'Paths_OrientationDrift.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As before, the vehicle obeys the Dubins' model hard constraint on the radius of curvature in its frame of reference." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:41.395631Z", "iopub.status.busy": "2024-02-23T18:47:41.395535Z", "iopub.status.idle": "2024-02-23T18:47:41.408018Z", "shell.execute_reply": "2024-02-23T18:47:41.407794Z" } }, "outputs": [], "source": [ "time_I = UniformGridInterpolation( (aX,aY,aTheta), np.tile(hfmOut['values'],(1,1,3)))\n", "driftX_I = UniformGridInterpolation( (aTheta,), np.tile(driftX,3))\n", "driftY_I = UniformGridInterpolation( (aTheta,), np.tile(driftY,3))" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "execution": { "iopub.execute_input": "2024-02-23T18:47:41.409234Z", "iopub.status.busy": "2024-02-23T18:47:41.409157Z", "iopub.status.idle": "2024-02-23T18:47:41.483863Z", "shell.execute_reply": "2024-02-23T18:47:41.483624Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=[6,4]); plt.axis('equal'); plt.title(r\"Moving frame. Drift($\\theta$)\");\n", "for geo in hfmOut['geodesics']: \n", " geo = np.flip(geo[:,:-20],axis=1) # Exclude the last points of the geodesic, close to the seed point.\n", " geo[2]=np.mod(geo[2],2*np.pi)\n", " time_G = time_I(geo)\n", " timesteps = np.concatenate((time_G[:1],np.diff(time_G)))\n", " driftX_G = driftX_I(geo[2:])\n", " driftY_G = driftY_I(geo[2:])\n", " plt.plot(geo[0]-np.cumsum(timesteps*driftX_G), geo[1]-np.cumsum(timesteps*driftY_G)) \n", "savefig(fig,'PathsInWater_OrientationDrift.png')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Format de la Cellule Texte Brut", "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": "3.12.1" } }, "nbformat": 4, "nbformat_minor": 2 }