{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "\n", "**This is a fixed-text formatted version of a Jupyter notebook**\n", "\n", "- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.14?urlpath=lab/tree/astro_dark_matter.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n", "- **Source files:**\n", "[astro_dark_matter.ipynb](../_static/notebooks/astro_dark_matter.ipynb) |\n", "[astro_dark_matter.py](../_static/notebooks/astro_dark_matter.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Dark matter utilities\n", "\n", "## Introduction \n", "\n", "Gammapy has some convenience methods for dark matter analyses in [gammapy.astro.darkmatter](..\/astro/darkmatter/index.rst). These include J-Factor computation and calculation the expected gamma flux for a number of annihilation channels. They are presented in this notebook. \n", "\n", "The basic concepts of indirect dark matter searches, however, are not explained. So this is aimed at people who already know what the want to do. A good introduction to indirect dark matter searches is given for example in https://arxiv.org/pdf/1012.4515.pdf (Chapter 1 and 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "As always, we start with some setup for the notebook, and with imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from gammapy.astro.darkmatter import (\n", " profiles,\n", " JFactory,\n", " PrimaryFlux,\n", " DarkMatterAnnihilationSpectralModel,\n", ")\n", "\n", "from gammapy.maps import WcsGeom, WcsNDMap\n", "from astropy.coordinates import SkyCoord\n", "from matplotlib.colors import LogNorm\n", "from regions import CircleSkyRegion\n", "import astropy.units as u\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Profiles\n", "\n", "The following dark matter profiles are currently implemented. Each model can be scaled to a given density at a certain distance. These parameters are controlled by ``profiles.DMProfile.LOCAL_DENSITY`` and ``profiles.DMProfile.DISTANCE_GC``" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[gammapy.astro.darkmatter.profiles.NFWProfile,\n", " gammapy.astro.darkmatter.profiles.EinastoProfile,\n", " gammapy.astro.darkmatter.profiles.IsothermalProfile,\n", " gammapy.astro.darkmatter.profiles.BurkertProfile,\n", " gammapy.astro.darkmatter.profiles.MooreProfile]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "profiles.DMProfile.__subclasses__()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The assumed local density is 0.3 GeV / cm3 at a distance to the GC of 8.33 kpc\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for profile in profiles.DMProfile.__subclasses__():\n", " p = profile()\n", " p.scale_to_local_density()\n", " radii = np.logspace(-3, 2, 100) * u.kpc\n", " plt.plot(radii, p(radii), label=p.__class__.__name__)\n", "\n", "plt.loglog()\n", "plt.axvline(8.5, linestyle=\"dashed\", color=\"black\", label=\"local density\")\n", "plt.legend()\n", "\n", "print(\n", " \"The assumed local density is {} at a distance to the GC of {}\".format(\n", " profiles.DMProfile.LOCAL_DENSITY, profiles.DMProfile.DISTANCE_GC\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## J Factors\n", "\n", "There are utilies to compute J-Factor maps can can serve as a basis to compute J-Factors for certain regions. In the following we compute a J-Factor map for the Galactic Centre region" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "profile = profiles.NFWProfile()\n", "\n", "# Adopt standard values used in HESS\n", "profiles.DMProfile.DISTANCE_GC = 8.5 * u.kpc\n", "profiles.DMProfile.LOCAL_DENSITY = 0.39 * u.Unit(\"GeV / cm3\")\n", "\n", "profile.scale_to_local_density()\n", "\n", "position = SkyCoord(0.0, 0.0, frame=\"galactic\", unit=\"deg\")\n", "geom = WcsGeom.create(binsz=0.05, skydir=position, width=3.0, coordsys=\"GAL\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "jfactory = JFactory(\n", " geom=geom, profile=profile, distance=profiles.DMProfile.DISTANCE_GC\n", ")\n", "jfact = jfactory.compute_jfactor()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No handles with labels found to put in legend.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWQAAAEXCAYAAACarT5PAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOydeZwcVdX3v6cnmZlkMllmJvtC9oQ9LIGAiojsKCiigsqiCC6gj/r6Ki6vKOrzuPu4oMgSNhUERDZBQDaXQAiyJZA9JGQhJJmEZJKQSab7vH9UDbl1q/t29UzPdM/0/eZTn3TVvXXv6e7qO7d+dc65oqp4PB6Pp/SkSm2Ax+PxeAL8gOzxeDxlgh+QPR6Pp0zwA7LH4/GUCX5A9ng8njLBD8gej8dTJvgB2dPliMgnRSQtIttFZGqp7SlnROTk8HPKiMixpbbH0734AbkHICKPi8gnc5StFJE3wx9x+zaqE31NFpGucE7/p6oOUNUlRl/TROQ2EdkkIttEZImI/CKJ/SLyiIh8K8vxD4jIWhFJichlIvKSiLSIyAoR+VKCds8TkZsKf3vJEZE11nf2QHuZqv5NVQcA67rSBk954gfk3sF7w8GufSvZj1lE+iSsNxWYC6wCDlbVgcA7gFeBtyVo4gbg3CzHzwV+r6qZcP9jwGDgNOCLInJWnnZPBe5P0H9nOcX4vk7phv48PQA/IPdSwhniHSKyXkTeCGfZ+xrl/UXk5yLyqohsFZF/iEgN8I+wvH32NjNs61siskpENojIDSIyMKw3WURURD4uIq8CDyU08QrgMVX9v6q6FkBVX1fVn6rq7Yadp4vIC+F7+JeIHBAW3QmMEJGjjbqNBAPqTWF7P1DV51Q1raoLgXtxDPYiUgUcBzyYo/xMEXk+nM0vE5ETw+P/EpErROQpEdkhIneJSKOI3BLWnSsi4xJ+Lp4Kxg/IvZv7gCnACGABcLNR9nPgIOBIoAH4OpABjgEwZm/zgE8SzDSPBSYBQ4BfWH0dA0wnmIkm4Xjgz64KIjITuCbsvxGYDdwtItWqugO4AzjPOOVs4EVVfSlLWyng7UCszOAoYLGqbsly/tFh//+HYMb9LoLZvdn3R4AxBJ/DHOBqgs92OfD/rCZvDf+4PSgiBzps8lQQfkDuHdwVziDfEJG7AFQ1o6o3qGqLqu4Cvg0cJiJ14UzwAuDzqvpaOIP8l6ruydH+R4GfqOorqtpCMHh/JBzk2rlcVXeq6psJbW4A1rfviMgXQvu3i8hvw8MXA79R1XmhjbPD4zPD/28EPhTO7CEYnG/M0d93gTbC2XMOTiO3XHEhcI2qPhJ+tqtVdbFRfp2qrggH8weBJar6mKq2AbcDhxh1zwbGAxOAfwEPisggh12eCsEPyD0IEXnAkBI+ahS9T1UHh9v7wrpVIvKj8GHWNmBZWLcJGA5UE8zckjCK6GxwVXj+UOPY6gLfzhZgZPuOqv6vqg4Gfg30DQ/vA3zV+GPzRnjO6LD8CWAr8N5Qkz4EuMXuSET+i2AQfI+q7nbY5NKPx+L+vF43Xr+ZZX9A+074x2+Xqu5Q1e8CO4Gj8VQ8iR7AeMqDAh/+nEcwwBxHMIA2AhsBIRgsdhPID/YtfDYPi3UEg2M748LzNwL1oW2FemY8ApxJVEaxWQ18R1V/mK1QVVVEbiZ4ry8A96vqJrOOiFxMIDMc43rYKSKjgQZVfcFhyySHrZ1BCb4XT4XjZ8i9l3qgFWgG+gPfby9Q1TSBl8L/isiIcDb9NhHpC2wAVEQmGm3dAnxJRMaLSH3Y1i2GJ0NH+BZwnIj8uN3NTUSGEuiv7VwNXBI+WBQRGSAi7xWROqPOjcDJwCew5AoROR/4DnCCqq7MY89pwAOO8uuAT4rIu8KHnGNEZFqC9xkh/AyPFpG+IlIrIpcBA4EnC23L0/vwA3LPodAZ6PUEM9t1BLPgOVb5F4GFwH+AzcB/AxJqxP8DzA1lgsMJHqz9CfgnsAJoAf6rg+8DAFVdBMwi0FHni0gLgZ66ikDvRlXnAp8BfksgcSwheLhotrMceBqoBf5qdfM9gjuD/xhSz69zmOR0d1PVOcBFwC8JZJLHCGSMQqkHfkfwftYC7yZwgYs9SPRUHuIT1Jc/IvIscIWq3lVqWzqCiFwA/IZA5pipqktLa1EUEakm+MM1XlW3l9iWkwj++NUAJ6nqP0ppj6d76dYZsojMDl19FhjHRonIoyJyt4gMCI99WkTmhz6f/xKR/Yz654vI0nA73zj+uIiM78730x2IyP7AvsBzpbalo4TeHv3Dh45lNRiHNADfKPVgDKCqD4afUz8/GFce3S1Z3ECg95l8HvgccC17b0f/qKoHquoM4EfAzwBEpAG4nMB39gjgchEZUogB4UOgssFlj4j8kCDQ4ququipXve6yp1R0tU2qul5Vf1cu9hSKt6f30K0DcvgXf7N1uIogICFD+KRZVbcZ5XXs1U9PAh5W1c2h5vYwewf4zUA6gRlndsz6LiOnPar6VVUdraq/LAd7Ski52eTtcVNu9vQYysHt7dcErk9bCSKdABCRS4AvEfi7HhceHk3U33VNeAxV9ReBx+Pp0ZR8QA5vxY/JcvxK4EoR+QjwTeB8svtq5n0qGd5CnQkgSP8xjeOSPcmM9ZbQVTRvtb0V+tXUMWbo+Nz2JPZO7YQbq3Fqv5o6xgyf4Ph8ut9dtl9tHWOGT+zmp8+5u4t9Rh22rIATHVXj11CedhN3q87dXIgIIrLDOHSnqmZLBJWTk95Vp82bk9zwwn9ebH1QVW0ptEdS8gE5AbcSuD1BMCM+1igbAzyer4HwYjgXYKA06L5bjtxbKMYAI1EFR1LW4GOWW2VitlNVFT0vlcpdt79EhRbLhkg/0kF7sp2by76heeo62+ngefmoy18lJy4vooyjzHXeUKss43DHttqJeDXZ/dtu3Unr9gf2GH8fbNtt+9JpR11zXI+epy4bjHb6jevH0pWLO/Ot0bw5zdMPJsvHVDVyaVNn+ionytIPWUSmGLunAe1P5h8EThSRIeHDvBPJkZnL4/H0XBTIJPzXm+jWGbKI3EIww20SkTUECWmuy1L1UhE5HthD4EB/PoCqbhaR7wLzwnpXqKr9kNDj8fRwFGWPJpMsehPdOiCr6jkJ6+WMAgszfs3OVZ6IHDKFU6KAyC252LKE2aZLorDaifVRZe0nlSVifThufvLJGS6ZJF9bSctKgX17nnKUuc61b93t9+loS0z5QGw5w2rH7Eds2cFqOJXJWVUd14LYkorZcMaW8GwJwywv/ky1t81+k9ATNGSPx1Mi6ob040PfPIURk4ZG/u6owmvLNnDbFfezY8vOoverKOkKjCL2A7LH48nJh755CvvNnE5tn1rE8LBRlIaGRj70Lbj+i3d0Sd+Zjruv9Fgqc0DOJVPYXha2fGDe+jkkgth5HfWcsOrGpA9TNinIqyJPXZcUYqHF8qzoqLxRyCzKKSUUIFnYa8C6PBViHVnTTLMoHdUhNKII2NKWbZ/5nVnt2t4SEVujZREpTjKMmDQ0GIxFIicKQm2fWkZOHoakxJIvOo8CaT8gezwez14kJfGJQHsZ0qWPCfwM2ePxeMoABfZ4Ddnj8XhKj6JesqgIJLdu7NSMwe3aZp7r0oztdiz3OWeEncuemL7sqGtjlalT4+6CKL6uJGE0ntoSqD07M/ZjenMh7nRphyuXfS0U4iJn6s/2e7Hd14xuYp+O2WcqhWYU1fC6jNkQlCGpmEtcp1FIV954XJ6Reh6PpzxY/8omWtvejIVYqyq72naxfvnGLuk3iNRLtvUmKm+G7PF4EnP7fz8EX4cRE5oid5aaUdYv38ht33MtQ9gZhHQFrvvqB2SPx5OTHW+8yQ1fuTvYsVzk1CW/dJLgoZ4fkCsAyR2O7NJorXKnr7Gtl6bs7G8JfYttGwoJcbbeS9F04Xw+zEnLLLSD/lN26G+MpOHR+XyJi6U3F9JnIT7L5nUT69OKs86Y17FlUqSeNeDav49IOHlX+CH7Adnj8XjKgoyfIXs8Hk/p8TPkSiJX1rY8t/1O17YC3N7EbDefTBJpN3mIs7rc3gqRIfKFTkfc8hwVuyikS/P9aCO3+nY2NaPE5bpmt1OIvGGHMee0DXdItq3XOlzkNOZ7YMtgRrmlZiR2iSP629FEy1kmRxHSFegEVpkDssfjKXu8ZOHxeDxlgCLsVjuDUu/HD8gej6fsCAJDvGTR6xEcK224NGOIasOFrOxh68QuDTnmMpdbQ3a6srnazeP25tSFC3CZc7qyddVvzeEa69KJY4t9xnRi47lDIdqvpS9rrnokCMmO2JN8ofKYpmy6qNmTUEMKdrrEQURTzpURrjOU6qGeiEwEvgEMUtWzwmP7Ad8GmoFHVLVLkkBX3p8gj8dT9qgKaU0l2pIgIrNFZIOILLCOnywii0VkmYhcFvStK1T1QquJU4BfqepngPOK8R6z4Qdkj8dTlmSQRFtCbgBONg+ISBVwJcFgux9wTjgTzsbNwNki8mOgsUNvKAEVJ1kgEnUZ6vBKH46VPVwShb3vkija7Q1xurLly+5mthNzrSugbiGubU45w9FOJ7C/lkifTlkit0tc0K7hyhbL4Gav0OFYXcT8vi1XtpiLXDqaec1poOOLcUoYdoRdSnOW5ZUwcnXYAYKHeomHpyYRecbYv1pVr460p/oPERlvnXcEsExVVwCIyK3AGcDLMXtUNwCXhIP4nUkNK5TKG5A9Hk/ZU+BDvU2qengHuhkNrDb21wBHikgj8H3gEBH5mqr+TziYfx2oA37cgb4S4Qdkj8dTlqS73g85Wweqqs3Ap62DK4GLu9ogPyB7PJ6yo5si9dYAY439McC6ru7URWUOyKZuLMl04WC/KmeZMxza3neEQzt1Ypcrm53dzaX9FlI3r4tcDnuytRtpJ3dRZ3B5isXc1QzXMVvqja+OYZ5nffd2XTPE2K5bgCub00XOPjf2BnJjnusOs86dJQ6i71sj11RxvtxMQg+KTjAPmCIiE4C1wNnAR7q6Uxfey8Lj8ZQdQXKhVKINGCQiV4vIe3O1JyK3AE8C00RkjYhcqKptwKXAg8BC4DZVfakb3l5OKnOG7PF4yhpF2JM8dHqrqjr1XVU9J8fx+4H7CzSvyyjrGXI2p20RaRCRh0Vkafj/kPD4sSJyQ0kN9ng8RUGVogaG9BTKdoZsOG2fQCC+zxORe4ALCEIXfxAO0pcBX03esKUbp3K8DoyI7if1NXZpxla7Ts3YbsvZTh6tN2Ifeerm/kxiurC569KXbbooHad7VRD7szV9i6NFTr3ZpS9DxGFXJJOzrthfhEsHtpdPsq6FiM+yfZ04cPooxz4vu7Lxeyj6ak4FBX30Gsr5z8tbTtuquhtod9o+A7gxrHMj8L7w9W5ga7db6fF4io7iZ8jlRlanbWC4qr4GoKqviciw8PUcYE63W+nxeLoEn6C+vMjqtF2UZnOFQOdZcFScLmiOcGiXa1sBK4ZorM8c/eOWMDTmzufK9pZHhnBkhsvl9lbXtotRbzbT0NpC4+4WGlu30bi7hYbWFppaW6hL76Iqk6ZKM1RphoykSIdba1VfNlfX01xdT3NNffC6pp7mmoFsqBnExupBueUQRwa3+EKl9udnlKdyyxngcgcDMcKs41nYLBc5HGhuFzmxVxexv29XmLW52om94G7aXl7EvI6Lq1koUkiC+kEicjVwr6reW1RDuplyHpBzOW2/LiIjw9nxSGBDvoZE5GbgTIC+UtMVtnpyUNe2iykta5nWspYpLWuZ2rKOht0trOvXGBlUX6kbzjMNU2iurmd7n1rSUhUMwqkUovrW4Fyb3v3W4N24u4WxOzcy440VNLS2MGLXG/TRNEsGjGZJ/SiW1I9mycDRvF4zuOs0a0+M1zeuQ0R2GIfuVNVzC2lDgT3Jc1nk9bLoKZTzgJzLabsBOB/4Qfj/3fkaCi+GcwEG9RlahFm2Jxe16d0ctnkZRzUv4sCtK2nY3cLyASNZUj+KuY3TuHn8cazuP5RMLFlOcpY7yhp2bWNqyzqmtazh5PXP8rml99JX0yysH8vcxqk82TidjbWDO9y3Jz/Dh45i2/ZFdZ1rRfwip+WEqraJSLvTdhUwW1VfEpEfALeJyIXAq8AHS2mnBxpbtzFr8yKODgfhRQPH8GTjdG4f93Ze7T+UjCsFW5HZXDOQp2oG8lTT9LeONbRu44Ctqzh60yIueOURNtQOYk7jvjzZMJ2lA0b52XMZonRLpF7ZUbYDMmR32g4Tf7y7Uw3nWvnDGjhiqyA4V6h2hDEXsgK0VTeiQbp0YbvMoSnHQ6UdOnFVdn25rm0XJ65/lhPWP8+oN5t5unEqD406lO8deDY7+tSG9uVoMxsxnTMhjpUzIJB+m/sP4on+B/HEiINIZdLsv/VVjt60kG8s+hO1mT38Y+gB3DPqCFbXDTMMtlNsGq9d+jJENGZJ21qvscpGHrc3Ncpjn46tEztcKeOfrMO1zbjGxdKMNbbSumlPrJNO42fIHk8eJrWs4/R1czl2w3zmNUzh2kkn8sLgCaRTVe7cFWVCJlXF/CETmD9kAldPPoWxOzZwwvrn+fnz17Ky/zDuHj2LOU37duus3hNHVfwM2ePJRt9MG8dsXMDpa+cyrHUr942ayQVHfJEtNfVdliSou1hdN4zZk07kpvHH8Y6NL/GBNXP43NL7uG/U4dw/cibNNQNLbWJFEjzU86tOezxvUZVJc9r6Z/joqsdZWTec28a+gzlN08mket8PpS3Vh8eGH8xjww9mwvb1nL72Ka6d90ueGHoAN48/juY+9aU2scKQQoI+vNtbj0XI7YecL3TatWSSY3XoQsKhY77GpvbrKIv7OucOh475IcfsU961YT4ff+Vh1vVr5OsHn8/SgaPDutGq7vSbufsoWu5x633GF4DOnWJTDSnVLFsxaCT/O/D9zJ58IuesfIJr5v2Sv446glvGHcOOvv1iSzbF7hJcK18burC9ZFNsKSijISWfLmz2n1tfBrIsB2XaYH4o7mcNkXSctm92Jwke6iW+SLzbm6cXosrMLUu5cOVDtEkVP5v2fp5tnFxqq0rGtr51/G7Kqdw59mjOX/EIN8/9KX8aewx3jZzF7qq+pTav1+Mj9TwVy9idG/mvpffQuHsb1006kX827e/dwUI21g7mp9PP5PYdb+cTrzzMmWvm8LuJp/DY0AP9Z9RFFBip12uozAE5R2hwzM3NFdbsWtXZJWeAOxw6JjXkdnuLyBCxPpO5sqU0wwfW/ptzVj3BTeOP4+7RR5Lus/eyiEkftmQRkX+iZVG3tzw/ro7+9mwZwm7WOBDLyhbJVmavHG3VTcOqgcO5/OCPsf+WVXx50Z0c07yAX0w7nTf6DMhtQ0yqMV3iotJCPPOa6faWyVmW7dyc9tj9uuQ1O+zbDtc2i9VxHXSQAhY57TVU3jv2vMXYHRv5xXNXc+SmRXz28M/yl7FH98oHdsXm5UHj+NThl7CmfxPXPP0r3vX6i+60n56CUYU9mVSirTdRmTPkCielGT6w+t+c8+o/uHHCu7l7zJFxp3+Pkz1Vfbl20kn8a+h+fPXlOzhm4wJ+OfV0tlQPyH+yJy+BZFF512TlveMKp6l1Kz9/7hpmNS/mksM+w92jZ/nBuBMsGjiWTx12CWv6N3LNvF9yZPOiUpvUa0iH+Szybb2JCpwhS8TVLaIb2+kGXW4/rlU28rkLOVJWxkOpc7urRdN4Ouwh0IL33foq31nwR/4y9ihu2eeYtwZieyKijj5jbm8ODdn06+8uDTnWrLlChx3eG8lZaRXZnm3m27TaaZUarplyCk8O3ZdvLbiFv4w+ilvHHROcFHNlM7u3v3yHpuxY7SRWbn9nmvvakFi7jnh3Ox2tEVpd7D/qBbq9eT9kT8/ixNee5VPLH+DH0z/Ak8P2LbU5vZIFg8fz2cM/y/devJmJO9bzk2lnssf/xDpIQZJFr/FD9veqvZyUpvn08vs5d9WjfOmQT0ayoHmKz6baQXzhkItIqfK/z11NU6tfVayjZMJ19fJtvQk/IPdi6tre5PsLgtnaZw/7LKvqhpfapIqgtaqa7+33Yf459AB+/dxVTN+2Ov9JngiBl0VVoq03UZn3U7n03nwhz0nr5vFDjvj2FrL0ksPX2NZ6B6V38OMXZjN/8Hh+Pfk00n0dvsUx/dlRZl3/Tg3ZbCfmo9xFMxu1/YkNvTS2arJRz442tvVmRxh4LAVoOjjhjxOPZWXdML7/0k38934f5pmGKTmbDMyx/X6N0Gk7RNyq60zraRNZ+rqAa9zGsdRXZ6nUwBA/Q+6FNLRu42fPXcOcpn355ZT3et/iEvJk075864CP8bWXb2PWJu+BUQhesvD0eJpat/LzF6/lkeEzuH7iCT60twxYMHg83zjoPL686M+8bdNLpTanR9DuZZFk601UnmQhjtWj86zeYdZ1hkfHwmVdMoQ7XDsqb7hCp4Uhu1v48fzZPDDycP448dic7WRifUZ3o+3mLgv2E5Y5wqqzlickFuJsNSQuWSLjunW3ZQjJWWZ/v9lmOQuHjOOyQz7OD567nj1VfZib5eFqTMIwvieXRBGYZHxnscst9zUWC6vOYvtbxFazNtxHzax6rjYKwAeGeHosA3fv4MfPz+bRYQdzyz7vLLU5niwsHTiabx54Hl9Z9GcO3bys1OaUNapCm6YSbb2J3vVuKpS+mTa+P/9m5jZO46bxx5XaHI+DRYPG8u0DPsI3X76VSdvXldqcsqYAyWKQiFwtIu8ttc2dxQ/IPR1VvrD0bjbVDOTaiSd6zbgHMH/wBH455XSueOkPDN69vdTmlCUFashbVfXinh6lB5WoIUPyQauj4dGxsuiuuvRmV4rNWGiycNbqfzN5x2t8buanyRihrXY7Ed3YsifTx6VN27a7NGS7ruO8PJpyYuwQZ3vf0InjGrI4yqx9yV2Waot2aj75zzXjeWzUwUzcsZ7LF97Cl2d8grZUn3i8tsOVzA551oiea/nsFRAe7QyrdtEFE4He9sAuCX6G3IM5vHkJH371n/y/Az/GrqrqUpvjKZDrJxzP9j61fG7pvT59p0W7H3KleVn4AbmHMmbnJi5beDtX7H82r9cOKbU5ng6gkuK/9/sQB2xdxenr5pbanLKjEv2QK1OyMCkk2ijpiiH5Vh5x3so7ZJJQdujX1sp3X/49syedyIsNE4N6LonC6jMmUcTOddgXkzBy9xmRMBxRfNnKExOTKOzy3LJEKu2QM9JRg8TQQlJWmd2lKWHYA0bkbSvsqO7HNw86j1/95ypW9R/Gi4MnmMVk3yF2rUZW87A+XLUWPZWE13GMPFnkiokqtPWy5PNJqLx33Au4eMXfeHnQOP46+ohSm+IpAuv6N/LDfc/iqwvvoF9ba6nNKRu8ZOEpew7ZspxZzYv5zaRTS22Kp4g83TSN54ZM4uIVfyu1KWWB15AdiMg+InJ8+LqfiNR3rVmebPRra+X/LP4LP596Bjv69iu1OZ4i89vJp3Jk82IO2bK81KaUBaqSaOtN5B2QReQi4A7gd+GhMcBdHelMRE4WkcUiskxELguPjRKRR0XkbhEZEB77tIjMF5HnReRfIrKf0cb5IrI03M43jj8uIuMTWBFouu2bSMe2lLWZZVXRTSW6OdtxtHvxK3/j+SETmTt0OpoSNIWxSWQjRWTL9JG3Nq2KbpkqIlukrA/WJpEt3XfvFqvbd++Wro5uZlmmL5F20tV5NrNPux1XP5Z9UdvtLVo36ecVfGZ7N/t7iH5PRLbt1f34+fT38eXFd1Kb2d3h6yR2vVnXY+LruKDfg/GbKtKDtkp8qJdkhnwJ8DZgG4CqLgWGFdqRiFQBVwKnAPsB54QD7eeBzwHXAh8Lq/9RVQ9U1RnAj4CfhW00AJcDRwJHAJeLSEW4GByyZTmzNi3mN5O9VNGbebpxGs8OmcSnlj9QalNKiqrXkHPRqqq723dEpA95VzLLyhHAMlVdEbZ3K3AGUEXwoDpD+KdVVbcZ59UZ/Z0EPKyqm1V1C/AwcHJYtpkwE21voya9m/+z5C/8bPr7vFRRAfx2ymkcuWkxM95YUWpTSoiQzqQSbb2JJO/mCRH5OtBPRE4Abgc6EqI4GjCXTlgTHvs1gRzyaeD37YUicomILCeYIX8+Txuo6pmq2iuXZnj/2idZUj+apxunldoUTzewo08tV005lU+teCCSpL7SKEBD7jW5LJL4IV8GXAjMBz4F3E8gLxRKtnsLVdVVwDFZCq4ErhSRjwDfBM7P1UbejkVuBs4E6Juqye177PIBjjcarevy7XSlt4y1E61bl9nFB9f+i88f+umsK0nvbTN3H/a+veqNyw857rNsn5v9vPz2Rfc77O+TidrnCoEWa6XmlHE/ZTUTT1lpXGYp6zLMWJdgSnO/70hEnu23bRQ9PvxAPrzqHxzT/BKPDz8oHsnnCN0Xu64dHm2cG3+fRr2Yr3PuPs0+1m9Yh4jsMGreqarn5uwoW98UFDpdOYucqmpGVa9R1Q+q6lnh645IFmuAscb+GCBJuqtbgfd1pg1VPVdV61S1rl/VoITmlgfnvPoE/xy6P2v6N5XaFE93IsI1E0/iE688TFWmZylxI4aNov33Fm4FDcYAaPA3KMnWm8g5IIdeDi/m2jrQ1zxgiohMEJFq4Gzgnhx9m4uPnQYsDV8/CJwoIkPCh3knhsd6JU2tWzl13Txu9ik1K5LnGiazvnYIp772TKlNKQmV6GXhkizeE/5/Sfj/zeH/HwV2FtqRqraJyKUEA2gVMFtVc61nc2no97wH2EIgV6Cqm0XkuwSDO8AVqrq5UFsiFGuR08jqGHnaMW/1bFnEuI09d/Vj/HX0EWzsNzho15UJLl+IsyMc2pYaTJnCbifTJ3ldNerGJAu7rmlSvt+YudCHfSdvTSYjkkWb/fntfZ2yGrJnKtEffm6JAkCr9pbHZnBmXVtZsJc+VLhm8kl8/4Wb+PvwGdEEUq52M7ZEEa0aWew1vrxI9tdJ9ouIhg/1Ko2cA3Ko7SIib1PVtxlFl4nIv4ErCu1MVe8n0KDz1fsvR9lsYHahffc0xuzcyNs3vcy5R3251KZ4SsiSgWNYMHg8Z66Zwx/3ObbU5vc1qRYAACAASURBVHQrvU2OSEKSP0F1IvL29h0ROZrAFc3ThZy1+t/cNXoW272bW8Vz/cTjef+aJ+mTaSu1Kd2Kj9TLzoUE3g4rRWQl8BvgE11qVYVT17aLYzfO568jZ5baFE8Z8GrdMFbWDeMdGytnxerggV3lDch53d5U9T/AwSIyEBBV3dr1ZnUhQnLty6X9uurGUkvmdjuKrQIiwgmvP8czDVNorh0U0VNdq2zkX9nDofXa2nTE7S1a13aDy/Q1zovVNfu3+7TtNXYK0ZBjaTOtfaPczoIqkQlnbjc3iH6l9iBgOx2Z5TG3N0Nftm13ybl3j57FB9b8m0dHzAgLc7vBxVeZtupGNGbHKiV+xZBuJ++ALCLfsvYBUNWCNWRPAlQ5fe1cfj71jFJb4ikj5jTty6XL7mPi9tdYMWBkqc3pFryGnJ0dxpYmyEUxvgttqmhmvLGCjEgkUbnHk05Vcd/ImZy+tjJWFlGETCaVaCtHQvfeM0VkeiHnJQkM+amxfR84ljBc2VN8zlg7l7tHz+pSlyJPz+T+UTN514YX6d+2q9SmdAuacCsHROQu4/UZwKPAe4G7ReSCpO10ZAmn/sDEDpxXnph6bgFLOOX1NTZwrrBsnDd493YO3bKMH+975lt1Im6rLl3YsRq0vW+XxUOejTKHZgxR3dgui2jIMX3Z0l1Nm/JNE0zf4tgK0Fa4r6kTOyLa4xkj7LBhY1mmPMtGuT5rXPpyLOLZ0JsFmmsH8uyQyRy34QX+OtxaLcaoG9OirW5c13GnQqmLica1+jJnH+P1V4HjVPUVEWkCHgFuSNJIknzIZsTeS8Bi4JcdMNiThyM3L+Y/DZPZ2ae21KZ4ypTHhh/I2zYuLLUZ3UNPmiJHLemjqq8AqOomsv29z0GSGfJ7jNdtwOuqWlkOkd3E0c0L+cfwA0pthqeMmdcwlf+78E76tbXyZp+aUpvTpRQwQx4kIlcD96pqRzJRFoODRWQbwQ1JjYiMUNX1YZoIOwYzJ0kG5O/ZyUFE5OYOJQwpF/JJE+04V+At4Dy7vywuctXpPcx4YwU/2v+s6G1kJBud3U+O17glDOfq0FirTjvCoSEqU9iSRbrauI2OyRmWZBEJ7cZJJBzacnOzpwqyx9zJ/X3G1ANrTmMu3Jyyy6zPUwxNI3abb+odru8TIt99uz07+9by0qBxHL51Kf8cavzxzuS4ZuyyoDWjrlVkvrdCnmMk/U0lRIFMzO6clDzbm2os8L2d/gRZMhOR5BHl/uZOmKD+sKQdeJJxyBvLWTZgFC19+5faFE+ZM2fovhy9aVGpzehalEAMT7KVISIyMFzhKEUg8ybCle3tayLSAhwkItvCrQV4Hbi70xZ7Ihy9aRFPNhXkIeOpUOY07csRmxeT6uXJ63ti+k0R+ZSIvA68CPwn3BKn68s5IKvq/6hqPfBjVR0YbvWq2qiqX+u05Z63EM0wq3kRTzb6AdmTn421g9lYM4j9tr5aalO6lp71UK+dLwP7q+p4VZ0Qbom90nJqyCIyXVUXAbeLyKF2uao+2zF7ywxXukFXXQvXiiGuVUFUhPE7NvJmVTVr6obGtWCXTuzQXQtxe3OFUrvCoe19UzMGS1+uscpqrNmdqSnbob4WamqLdkrN1uibSznSZrpSYcZc2TKmnmvp3wW4vUXKrM/dFUptX3pzG6cxc8tS5g8JA4jMUOo8rmyRFUOwcP0GujH9JvTYPBXL6UB64nZcD/W+BFwM/DRLmQI+a3qRmNayhkUDx+av6PGELBw4ljPWPlVqM7qW8pv9JuFrwBwRmQu0th9U1c/nPmUvrnzI7U8tT1HVSGiQiHhH2SIytWUtS+p98KMnOUvqRzO1ZW0govbGqE617oR6Dr8jiNKbTwH+x+0kcXubA9iSRbZjPQRJfgEXsMhpZ5jaso7Hhh0EZIvqyx1V5c4aZ+073OcKkjfsfTMaz3ZtM2SKTL/otSm1UX+1quq9+336uteQa9uz914/vTt63x9PbbD3gFhvXNPZX0Nhn4nL5VCtrGy2XJWrDKKXmN1Oc81A0lLFsNatbKgdTIdxLOYad59L2E7Rfho9ckBuU9UvdfRkl4Y8giBnRT8ROYS9n85AAt86TxGoyqSZsH09SweMKrUpnh7GkvpRTGtZ07kBuZzpmZLFYyJyMXAvUcki0VJzrhnyScAFBCs7/8w43gJ8vWAzPVnZZ+cGXq8dzK5eHnXlKT5L6kczpWVdNECkN9EzB+SPhP+bnmhKwvw/Lg35RuBGEfmAqv654/Z5XExtWctSrx97OsCS+tG998Fee2BID0NVO5U3N8mKIX8WkdMIIvZqjeM+Qb1JZNVpq8yhC0/c8TrL60fmlMsSX5Mxl6Tc7eTXQI3XjkxwEA2BtsOhTdc2WzOuqdsd2a/vv/e58aBad3rJrbv2PlNu2Rl9vtxKdWQ/Ewmzjr5xMa7+2IrUBaxoEtObHa6K0e8pj3ufS5YVWF4/konb18dXwXHo1mCtOl3GsSXlFvSRBBG5BPiDqr4R7g8BzlHV3yQ5P0m2t6uADwOfI/jqP0g01ZynEzS1bmVjzcBSm+HpgWyqrmfwnh29N2IvI8m28uKi9sEYQFW3ABclPTlJLoujVfU8YIuqfgc4CvBOs0WiobWF5ur6Upvh6YFkUlVs69OPwbu3l9qULkE02VZmpMSIxBGRKrBu21wnJ6jzZvj/ThEZBewBOqWTePbSuLuFZj9D9nSQ5pqBNO5uKbUZxSdp2HT5DcgPAreJyLtF5DjgFuBvSU9O4od8n4gMBn4MPEvwEVzTEUvLnjy+xbFVQjqLKo32DNnp+5xn32y6kFSdsXShudspJBTYDIc2/YwhqhkDTB686a3X+9W/houXW/Yu8rmMpkiZ6aMM0LZ7r4EuXdipA4P1mdiirB137WgnR72s+5H+rcJ00OfmmnoaW1tY1s9xbgF0OKy66JRvJrc8fJUgwvkzBB/hQ8C1SU9O8lDvu+HLP4vIfQQP9nwWnCJQl24lI+Jd3jwdprk6GJB7JeU3+82LqmaAq8KtYApaslVVW1V1K3B7RzrzRGnwcoWnkzTXDKRh97ZSm9E1ZBJuvYiOLHIK3RTTKCInA78gWALlWlX9QZj0+U/AeGAl8CFV3SIixwIXqOoF3WFbMRiyeztb+taV2gz3t5nvttoVUmxkbbPDoW3XNlOm+GaTO/n694zXG3cNiJTZbnBtqb2XeNw+43Uh8kEZ3UlvqR7AuB0bSm1G8emhfsidpaAZskGX30yETyevBE4B9gPOEZH9gMuAR1R1CsFqrpd1tS1dRV9NszvVN39FjycHe6QPfTPu3B89lZ7kZREu6HFIZ9tx5bK4l+wDrwCNne04AUcAy1R1RWjPrcAZ4XZsWOdG4HECIX03sLUb7CoaVZomLR39m+jxQFpSVPVWP+Tkg205LHL6CvBfInIw8ALwAPBQ6IecGJdk8ZMOlhWL0cBqY38NcCQwXFVfA1DV10RkWPh6DkEWuh5DlWbI+AHZ0wl69YCcnHJY5PRW4FaAcKZ8MnBneKf/d+Bvqvp0vnZcuSyeKJKtHSWbgNShGxQRuRk4E6Bvyqdy9vQeVEDKzB1h/YZ1iMgO49CdHVmlvlzkiEJR1eeA54D/EZGBwAnAJ4GOD8hlwBqiEYFjgHXA6yIyMpwdjwTyPtEIL4ZzAQbVjCibrzktqd4b9urpFvpkMrRJrhXoS8OIYaPY1rK1c0+rlXIMiy4YVd0G/Dnc8lLO98vzgCkiMkFEqoGzgXvC7fywzvn04BWw0/jbTU/nqNJM730O0TMj9TpF2c6QVbVNRC4lCEWsAmar6ksi8gOC0MQLgVcJkh31SNpSVfTVtlKb4enBVGmadKp3Dsg9VbLoDHkHZBF5GPiglU7uVlU9qauNU9X7gfutY83Au7u67+5ga986Bu3p8AK1xcN14dtl9r6Z3tKxUrMd0mym0IRoOPT3cGPWtdux+zFve237IkEF+d5n0rJuZvCeHbxRDr7sXUEZfc5JEZG+qrrHOtakqptynWOS5E9rU5Z0csMKM9OTjc3V9TS29tIoK0+30Ni6jc29NVtgD5IsRORdIrIGWCciD4nIeKP4oaTtJBmQMyIyzuh4H8rmY+jZbOvTj5r0HqrTe/JX9niy0FuzBSYNCikjWeNHwEmqOhS4GnhYRGaFZYmfTibRkL8B/EtE2t3gjiHIZtT7yLNEgRjlWoz4WRE219TTsLuF9f0agmMZy4YqM3WYdb7D3NiFqjleE31fgQ3Gbb5dN5N7X+yAMWMVDnt1aDvE2czaZodD27hWDLH7MW2w7ROH3BL7/My69ufl+KydA0YhMol9XYQ0tLbQXFO8GXLsvZl09xIePcvLolpVXwJQ1TtEZCGBH/JlFDCBTZLt7W8icigwi2Ck/2JSPcSTn/ZsXW8NyB5PATT14gUOymj2m4Q9IjJCVdcDhA4I7wbuAyYlbSSnZCEi08P/DwXGEfgArwXGhcc8RWBzTT2NvTVbl6dLSWmGQXt2sKXafUfRY+lBGjJBTp3h5gFVXQO8E/hB0kZcM+QvEUgTP81SpsBxSTvx5Ka5eiBN/sGepwMM2r2DHX1qaEv1QXJIGj2W8tKHkzCDIAtlhDBd8feTNuIKnW7XiU9R1UiuRBHx8cc2psZorz4R0wr3HlhZN4wpLety/qU3L0rn9RnTNaP6m9lOzP3LoRPHdFdrP2VotLZLtbbu/SAy1mdirw5tuqvZurCNWdfWjHVXdD9l2JCyVpZOufRlh97s+rzAGkgc330+8unPE7evZ2Xd8HCmmPtCcenhZU3PGpBHA3NE5BWCZZtu74i0m8TLIlvCnh6VxKecWTJgNFNb1pXaDE8PZGrLOpbUjy61GV2GZJJt5YCqfpFA2v1/wEHAiyLygIicJyKJRX5X+s0RBKN+vzB7Uft0YiDQv8OWeyKsGDCCsTs30je9hz1VPjeyJzlTW9byz6H7ldoMT4iqKvAE8EQYZXw8gX58FQnHTJeGfBJwAUFSn5+yd0DeBny9YyZ7bHZX9WVtv0Ym7nidxQPHlNocTw9iastaZk88odRmdB09S7J4CxE5kCD3zoeBZgoYL10a8o3AjSLyAVVNlKmoZ6DJdTz7QYkp8BTRJ3PxwNFMbVnL4oFjYnqfGv3EfIIj/q65NWMg+tDHruvyLXaUAYihG4sV35KK+GpH1bGM1Y65OrS57FJWTP9UWxduTVn7hk5s2RexPd/7dHwmcU056XemVlnsy8/ZzsA9O6nfs5M1/Tq5VoTrOi7kQWGxfZR72EM9EZlCMAifA6QJciOf2L7ARlKSaMiHichgo+MhIpIv3YCnAJbUBwOyx5OUKS1rWVY/Cu2tmd6gp7m9PQjUAh9W1QNV9fuFDsaQbEA+JUsui1ML7ciTmyUDRjPND8ieApi2bW2vfqAH9KgBWVUnquo3VHW+iOwjIscDiEi/ojzUM6gSkRpVbW3vAKjpmNllSMRdKM+3Gym3JQIjrDrvragZDq0sGzCSYbveoGnXVjb2H2ydm9s80zXLnigVJEPYLl7GatFiSwL2n3CzWOxQV6Md+/NKRxtSw1sttjq03aXDLc92bTNliqrdtttb9tcQlTOCfoz34nKJs+0rJNTc5a5mlR2xeQm3jDvmrWvLJYXYF06Hw6PztFtMhPLxoCgEEbmIIH6jgSBCbwzBQ71EGSqTzJB/DzwiIheKyCeAhwkWF/UUiXSqiqcbpjKreVGpTfH0AAbu3sHE7a/x3OCJpTal67ASCPWA5ELtXAK8jcD5AVVdSgHZMfMOyKr6I4JIk32B/YHvhsc8ReTJpukcvckPyJ78zGpezLNDJvd+N8keJFkYtKrq7vYdEelDMZMLAajqAwTLWnu6iHkNU/nS4ruoTe9mV1V1/hM8FcvRGxfyZNP0UpvR9ZTfYJuEJ0Tk6wTxGycAnwXuTXpykhVDZgG/IpghVxMsp7RDVXtuElbTncd1j+B0CbL2XS5xMfc5Yz904dqRqmVR/RgOb17Kvw1n/8iSe5a7mjOlptWnGK5iqXS0TFOWtpo2y6x2LW3VeYtl2Ku27mpdeZF+8t23OTTamIbs0IlTe7LXgyzatKnX232m7c/afG3rrjleZ9uPuM8Fr/um93DY5qX8YtLp1oonmvW8WJmNS6ctRCM2+yzSmqtlKEck4TLgQmA+8CmCFY+uTXpykhnyrwn8624HDgfOAyYXbKYnL082TufoTQsjA7LHYzLjjVd4ZcAItlb30mWbTHrggKyqGeCacCuYRE6MqroMqFLVtKpeD7yrI5153Mxp3JejNi2kb8YvfOrJzjEbFjCnad9Sm9H1aM/KZSEiZ4jIJcb+XBFZEW6JF2JOMkPeKSLVwPMi8iPgNaD3/Hk2o6Ey9q28o651O6dOl7iczUR2Xq8ZzPIBI3nHhpd4dPjBsXNjt79illm2Su5ovPgtd3TfDIRLxe4bo+2aTcX+upsue7ZkYUkLkc8630IRkc/EatfhkuZybUvZUYZtlgxhtGt/XoW5veW+3mL7lrxR17aLYzYu4IIjvpjFBS3HedlwXMcumSIuv3TxFLZnzZC/QqAktFMDzCQYK68nUBjykmSGfC6BKnQpsAMYC3ygEEs9ybln9JGcsfapUpvhKUNOXP8s8xqmsKWISzaVMz3M7a1aVVcb+/9S1WZVfZUCJrBJ3N5WqeqbqrpNVb+jql8KJQxPF/Dvxn0ZsWsLE7e/VmpTPOWEKmesfYp7Rs/KX7e30LPc3oaYO6p6qbE7NGkjriWc5ovIi7m2DhjsSUAmVcV9I2dy+tq5pTbFU0Yc8sYK0pLixUHjS21K95B0MC6fAXluGKUXQUQ+BTydtBGXhvyejlhV9ijJtS+X+5pDX465Eln3VRHdLubKptw/8nBmz/sF1048iZZUf+O83F3GwnDtPiMhu5a+bNc19Of4X+zcmrI6tFRbj1fLNSryMRSiIduyumtlaYdrm60Zx/Rm0+3NdnOL9enQic26tu0ON7gz1jzFPaOODD4a1SxZ5Mxryr5u7XZdbnCOdlwUWU8WykqOSMIXgbtE5CPAs+Gxwwi05PclbcSVfnNVp8zzdJjNNQN5ZsgUTlj/HHfu87ZSm+MpMU27tjLjjRX8aHplPbop1YAsIhOBbwCDVPWs8Ng4AhfgTcASVY0sXKqqG4CjReQ4gohmgL+q6qOF9J1XQxaRWSIyT0S2i8huEUmLiF+Vs4v585ij+dDqf9I3vSd/ZU+v5iOrHuehEYfyZp/ek9MrEUWULERktohsEJEF1vGTRWSxiCwTkcsAVHWFql5oNTGVYID9BJAzUEBVH1XVX4VbQYMxJPOy+DVB0uWlQD/gkwSRewUhAb8M3/iLInKoUXa2iDwrIl8wjv1NRF4QkZdE5CoRqQqP14jIn8J25orI+PD4eBF5vFC7ypWFg8axbMAo3uc9LiqakW9u5rjXX+SP495ZalO6n+JqyDcAJ5sHwjHlSuAUgkH2HBHJNdg+B5wtIo8CjxXwLgoiaS6LZSJSpapp4HoR6cgip6cAU8LtSOC34f8Q+O/NBP4gIgNUdTvwIVXdJoGgeQfwQYIs/BcCW1R1soicDfyQYKmUjuHS3lz7MZ3OWJkiFS2LyWumTmfflxka43X7HM9P5s/mgRGHs6NPbaQMLFdjW3eN6cTma0svTdsn7y3PWA3Hsm8ab85eBUSNzySmIdsNdTTPeiErfaTt922WWefF0nruPTfuh5xbJy5MX477JX9i+UPcOfootlb1B7Pc9gl2aL8xX+NcIdf2fiG/h2JTmEtbk4g8Y+xfrapXR5pT/Uf75M3gCGBZeyJ5EbkVOAN4OUsfHwcuD9u5g8C3uOgk+RlEAkNE5It0LDDkDOAmDXgKGCwiI8Oy9l+utr9W1XZZpA9BDg012mlP/3kH8O5w0E4DmztgV9myqm44TzdO40Ov/rPUpnhKwKSWdRy6ZTm3j317qU0pDclnyJtU9XBjuzp7gzFGA6bv8BpgtIg0ishVwCEi8rWw7G/A58PjKzv1vhwkDQxJ0fnAkKxvPnx9J/AM8IyqtrRXEJEHgQ1AC8HgG2lHVduArUCjqq5W1TM7YFdZc8OE4zl97VMMaW3JX9nTq/jkiof4wz7HsqvStOOQbgidzubPo2FAx6dVdZKq/k94cIGqnhUe/3KnenWQV7IwvC12Ad/pRF9Z33zYx41kSXqvqieJSC3wB+A4guT4OdvJ2bHIzcCZAH2lxnJRyy0fOEOpHbeF9oohkVhkLMkgZd8GRutu7DuIh4YfynmvPMov9j0j2o55O2yv1uFwe7Mlioz18UUXJ7XlF+tc863EJAvjM3GtNAJoRFPBTeQrsz8/qxvHCh3Rz8Qqc8obucuCdh2yhENCMesetGUFY3du5Fv7fRRJ53Fzs/vJ4+bmdJHL1Wa2ujlkkvUb1iEiO4yad6rquTk7ytV/13tZrCGYYLYzBljX5b06cAWGuJJlnJWkcRG5RESeF5HnCd5owW9eVXcB9xBIFWB8iGHy50HkkSpU9VxVrVPVun59BiUxvaz447h3csymBUzx6+5VBH0ybXxu6X3MHn9C/hW4y5ARw0bR/nsLt4IH424KDJkHTBGRCaEsezbBWFMyXJLFV4ga154s41jgM0kaV9UrVXWGqs4A7gLOC70tZgFbVTVrfLCIDGjXl8NB91SgfTmNe4Dzw9dnAY9qbErau9jWt46rJp7CV17+M318Jrhez0dXPs6GmsE8NvSgUptSWorr9nYL8CQwTUTWiMiFoeR5KcGK0QuB21T1pSK/i4Jw/fnNmiwDaBaRjjzUu59gYF0G7CR4apmLOuAeEakhSGz0KMFCgQDXATeLyDKCmfHZ2ZvoXfx92Aze2byAj618jBsmnlBqczxdxOSWdZy+di4XH/G5uAxVQRQYqTdIRK4G7lXVrKtzqOo5OY7fTzA2lQWuAbkoyTKM85VgAcAkdV8nmI1nK9tF4ALXQTTqn2Ve9IW4+cRSYRr7tjZoXVmRZl3tQERP/fmUM7j6mV8zp3FfltaPjoQ42+2o9WM23bbii53k1pRTlmYcW1HbaCxTZdU1O7I147j/HB3CoRnb5a6VPvKn8XS4vdmashmG7Uy/GS3r27aHr758B1dNOoXNfeuTu7lB5KKK6erpAq7jjrq9RXwei3PDGtOwc7NVVS8uSqclxiVZFCVZhqd4bK4ZyFWTTuEri7x00Rv52KrH2VA7iL8Pn1FqU0pP92jIZYdrhlyUZBme4vL34TN458YFfGzVY8yefFKpzfEUiSnb1vKedU/zqcMvrWipwqSHJRcqCjlnyKq6QVWPBr5L4Ai9ErhCVY8KJQVPKRDh51PP4NTXnmFm85JSW+MpAvV7dnL5gj9y5eTTaK7puWsHFx0/Q44TJsgoOElGj8Glp7lSbDr0tNjyTnZMsezNPWnryzG/ZDOFZfj/5j71XDH9bC5/6Ra+cOinWNO/KRZWbZtuhkDbqSZjmrK5WnSV2w/Z1IJdftv2ytZ21tG8vse5yCfBOzTbpEstgRUObZXZnycR/2a7naiPciqT5vL5f+TfTfvxWNNBEb03YrvL79jq045hdy7TVEg4dDcv4eRnyJ4ew4JB45k98US+N/8m6va8WWpzPB3kM8vvp02quHrSyfkrVxrJZ8iDRORqEXlvaQwtHn5A7sHcP2omzwyZwjdf/hMpOzu8p+w5dd08jmheyvf2+zAZ8T/FCFpQ6PRWVb04l8tbT6LnhQEVgw6uGGLeJqp9P+XK4BYLnd47eGoq+kO0XaisE6P7aeW3E0/hB/Nv5OIlf+N3k0/JearZSyyDm3XLHZEa7LtUR9a2mCxhljnc+YJy2+JkuFbZsMvdK0DnLgO3ZGFrPhF3uhySxQFvrOTCFQ/xhYMvYmeqNnt4dCZ3O/Fr0/Q/xFnXmRnOrxhSUvyf5R5ORqr43r5n8/ZNL3HqunmlNseTgNE7N/Gtl27hh9POYk3/gl36KwfVZFsvwg/IvYBtffvztYMu4IJXHuHd658vtTkeB8Pf3MJPnp/NjROOZ17D1FKbU9aIJtt6E35A7iWs6d/EV2Z8nE8vf4BjNswvtTmeLDTt2spPn7+OP417B38dlTUQ1dOODwypEDQa/iu5wqgB0rkflOVeYwOwtNSYG5ypa1raoFoCoBh/M20d1rZhVe0wvnbAefxw/g0IyhPDsieniXvzxVe+NjqNlllucGa50+0t5ubWRcEPsVSTxmtnWHVuzdguz683x7Xf4bu28JPnr+OekUdw98hZgWacJxw6cm3YrmwOTdnp5ma1JfY1bvZjlznaMX9TxRojO5nruEfiZ8i9jOUDRvGVAz/OpUv/ygnrnyu1OR5g1JvN/Py5a7hr9FHcPvYdpTanx1CAl0WvcXurvBlyBbBiwEi+POMT/OiF6+nftou7xxxVapMqlonbX+O/X7yJP+xzLPeOPtLtRePZi1LIA7uKSC7k6cGsqhvOFw+5iDPWPsUXFt9FVSad/yRPUXnHhgX85Pnr+N2kk7l39JH5T/BEqMSHepU5Q87lM5zvL3LSkFOH9gyWLuzQjCGqG9t6nxp1symyr1U38LkZn+bri27jJ89ex3f2P4et1QPiIp8drm2m0Yz5xkb3I37JthRdZbyOacZuv+TE5PnKTD3V1oVdGnL8fTt8i2N+yGnOXfkYp7z2DF874HyW1I9565zoUku2Zpxbs43NrF2ash2q79KCi7XqdPJUmcnpZYNtEvwMuZezs08t39r/Y7w0cBy/+c9vmbg96yItniJRm97Nt166hZmbl/DZwz7LkvoxpTapR9IeGFJpM2Q/IFcAGUlx3aSTuG7iifzk+et4x4YFpTapVzL8zS386pmreLOqhi8dchFbaupLbVLPRQMvlCRbb6ICJQvFXMrCdPmStHVPW1UV3U+4QrUzrNo+1wqrjv3JN12osDHeh/W3NVZXlccaD2RtdQPfXngLMzct4XeTTuHNPICYWQAAFplJREFUPjXxDG7mXav1EcTc10xz7bdiZqrLJ0l0g2QRq+tye7O/shxZ2IKyDCe+/hwXL/8bt4x7J38eeRRkBMlk4jO4iPRhyQ72dWLKEDGXM/u9OOSDQsKjXWXW7yOyekxX5FLpXWNtIvwMucJYUj+ai2Z+jirNcO28X3Lo5mWlNqlH09i6je/Pv5kPrP43Xz3oAv489m1d52NdYRQgWXi3N0/PZUefWn46/UxmNi/hy4vvZO6mafxucjBb9iRElRPXP8enlj3APaOO5PIDPkJbyv+cioZSyINC7/bm6fnMa5zKRTM/T5VmuO7pX3DY5qWlNqlH0NS6le+/eBNnrf43X5nxcW6a8G4/GHcFmnDrRVTmVZRDb7NTS0pspY9kK1TH3dNyE5dkbS04mU4sloan1grQZji3ac8OqeFnU97PzM1L+NLCu1hZN4xrJ53EKwNGZDXevhuP6OWOVUHi59ElxNNxau6yjKMsi9tbXdsuPvzqPzh97Vz+Muoovr1vOCuOucG59GaXRmu3k0lWBlHXtphLXAfd3qx27BXHc+rNRRoke5sHRRIqc0D2xJjXMJWPz/wC733taX78wmyeGTKF6yccz/q6hlKbVnKq03t4/+on+fCr/+DJpulcfOilbKwdXGqzej29zYMiCX5A9rzFnlQf7hx9NA+MOowPrv4XVz3za/4+4hB+P+FdvFE9oNTmdTupTJqT1z/L+SseYXH9aL50yCdZVTfchz93B71QjkhC5Q3I9sMC0zcrY2sWjts5VzReyl5Wwx1lFenS2o9G49m3nuZipFaGOdfjAftCt6q+KdXcNPY47hl+BB9d8wQ3Pvkz/j58BveOOoJVA4ZH+zFVHJfCkydTnS13JCbPLCrSbcz7MPttdt2eNzlp/bO8b+1TbKoeyBX7nc3CAWODc9rcrmx2u64Iu3yrgEQXPM0TfWeWF5DtraAovpg7XSZ3WScJAkMqb0SuvAHZk5g3qgdw5ZT3cNvYt3Paa/P4yQvX8Wr/Ydw9+kj+3bQf6VRV/kZ6EJNa1nHG2rm8c+N85jVM5SfTzmT+oH2Cvyx+Vtz9VGD6TT8ge/KysXYwN0w4gd/v8y7etmkh71/zJJcu/St/HXU49486vEfrqdXpPRyzcQFnrJlLU+tW7ht1BBcc8cWKlGjKDT9D7kJEZDpwPXAo8A1V/YlRdjbwFeAmVf3f8NhhwA1AP+B+4L9UVUWkBrgJOAxoBj6sqitFZDxwg6oe213vqdJoS/Xh8eEH8fjwgxi/fT2nr5vLNU//inX9GpjTtC9zhu7H8gEjyj4wYkhrC0c1L+LojQuZsWUFLw8axy3jjuGpxmlkwll/JQ4GZYXXkLuczcDngfdlKTsbmAn8QUQGqOp24LfAxcBTBAPyycADwIXAFlWdHA7kPwQ+XJAlpvZlRoPaYcKWb1YktNoVVh3L4Ga1W+VY1tkOpzXPs8VeI0tbLEucbYP5Xmy91vZBi4i/WGXBgVW1w/jVxPfymwmnccC2VRzdvIgrXvw9VZphTtN0nmyczguDJ7Cnqm/sfWQ9UCxJIFszqozf8TpHb1rE0c0LGbtzI88MmcLjTQfy4yln0tK3f/A9ZPZqtW4XObe26gpNdmZli61EUsDqHQ63y3g/ycKjY25u9kMCs5+ih04XlKdikIhcDdyrqvcW2ZBupdsGZFXdAGwQkdOyFLf/PBUQERkJDFTVJwkO3EQwkD8AnAF8O6x/B/BrERGCoXVz170DTzbSqSpeGDyRFwZP5LeTT2GfnRs5atNCzl/5KJO2v8bq/k0sqR/N0vpRLK4fw4q64W8N0l2CKqPe3MzUlrVMa1nL1Ja1TNm+jm19+vFU43SuH388Lw4eH/gPV6BG2aOowAT15aIh3wk8A/xeVVtEZBqwxihfA4wOX48GVgOoapuIbAUaVXU1cGY32uyxEWFV3TBW1Q3j1n3eSZ9MG5N2rGdqODC+Z908xuzcxOr+Tazu38TmmoE0V9fTXFMf/h/s7+hTm1P26JveQ+PuFhp3t9DQ2kJT6zYadrfQ2NrC8F1bmLL9NXZU1bKkfhRL6kdzy7hjWFo/iq3VA7wM0ZPQeJ7pSqAsBmRVvRG40TiU7deoCco8ZcSeqr4sGjiWRQPHvnWsb3oPk3asZ9SbzcHA2trC5O3raGhteWu/Lt1Km6RIh5uoUqUZqjRDRlJsbh/Ew4F8c3U9Lw4ez8bag1lWNzJIwu/p+VTgH9AuHZBF5BLgonD3VFVdl/DUNYCZ2XsMsM4oGwusEZE+wCDySBUicjPh7LmvVEc1tJQjR6SdbtDQjWN+oRHc/symxhe75BwPxOIpNc1waIdmDKjhGx3XQHOHWTv15aCx3O1kiX1to4rF/UezuC534nYJB19zEG4fnDOI+6GhKtKW/btxhVU7fZQhqiHnSW9pfhWx68Tlo+x6nuBoJ2jL4YccW906d7sR3dhOR+vSlI0+Xt+4DhHZYdS8U1XPpVAqbzzu2uRCqnqlqs4It6SDMar6GtAiIrNCffg84O6w+B7g/PD1WcCjGnv6EGvvXFWtU9W6fimfNLzcUUnRlupDa1U1O/vUsquqmj2pPmQkVfYeHB4YPnQU7b+3cCt8MCb4Y5Zk6010p9vbCAKdeCCQEZEvAPup6rYcp3yGvW5vD4QbwHXAzSKyjGBmfHZX2u3xeEqAUpEPXbvTy2I9URkiX/1ngAOyHN8FfLDjhkRvyyIPDux7Wvv+wcwMl8e1zYnh9hbLDFdldeqaARjSQnxx1GhVUeP2U/PVzS1DiDVDjZxru9O5ZrNdlcrL0axThnDJGfa+7Z7mCk121XW5o9nlLonCLs/r9mZIZoW4xMXsM34PRdZ7Ba3Ih7Bl8VDP4/F4YvgB2ePxeMoEPyB7PB5PGeA15ArC1NAi7mC2nmaLyLnjrE1NuSA92dJd4yHG2Vf6CA44XOQcS3TYuqHYq4uYde0uUpaWae7k0ZtzdFFUnNJ0vrSUJi7tN99KH0lX5MgTDu12ZXNovw7NGKzvP6YLp3OX2avS5NTDizOzLcCDwodOezweT9ehPnTa4/F4ygLFa8gej8dTNngNuQJQjYeEthdZ+2IviGFqynbmE6OsMB/lmLOzVezwWY6EONs+1HaqTsNnOc8S0GqUS8w8l69x1AZ1hYF3VYyo40fs9GvNu+yRox2nz3IBvsWukOxCfJZdmrF9buy5Se4ydfk3m7+pIk1svR+yx+PxlAt+QPZ4PJ4yQNW9kHAvpeIG5OBZQY7VH+xbPevciIRhqx5mWSbP6h1OA13hxpZbmVnXDml2tWtLCbbrXXS5aLshq1lzJRLL3Gij0cLu+q0ldG3Le3tc0GrMrhVDClgdugAXucTh0EEFR7tGO/lCsA0bih06bbdfKVTcgOzxeHoIfkD2eDyeMkCJz+wrAD8gezyeMkTjHiAVQGUOyJE0mnvFYImtJJ1bU465xJmacsr+y+4Is7Zvy2wbTB3Ppf3a+rJlgTrqFqJbO/Vm+/fjcImzcbnIuSjINaoQt7d8q4K4yiLpXZO7vRWiRcdWs3G62lkPPJK6tuVZpUTTjjDrzqL4h3oej8dTNngN2ePxeMoEPyBXApY25Yq+s6PdTNciq1VxuL3FfOTMbGqWRCF2FGHErcxq1+XKZttXgCxRNHnDxF5NxD7VWdoJXLfSxZIhCmmnELc3h7wRczOLRMrlk0ISurYVkmGu6HpvQcmFeg1dusipx+PxdAgl+AOQZAvTb4rIe0tsdaepwBmyx+PpEfj0mx6Px1MO+NDpykBBzdWGU6aeFq0a0zVNDbcQlzhbUzZ3bfclOw2amaUtn4ucietizrM6tCsk20Zd2rDLJc5VtxCK5PYW04Vd5+bVfhNqyp1xZbM12wLqJnZts69xV5h1F7i9qfdD9ng8njLBR+p5PB5PmVCBXhZ+QPZ4POWHalxOqQAqc0COaF/GihwpWzOzzzO0Z0eYdcxH2V4KOaLRWpqxQ39WO72lqTnGQpwdHo22L3EBIdk2hfg3l5xC/IVd5fn8kJ0pPwvwLXb5+Tr0XNu+eLsOG1zh0LYW3aV+yPgZssfj8ZQHGv3jUCH4Adnj8ZQfPv1meSEitcA/gBoCO+9Q1ctFpAH4EzAeWAl8SFW3iMixwAWqekHexiO3QtnlC4hLGNGFTKN/vWMLh5rdWfJBJELb7sOeFJiZ42KLkRrt2lnY7Ns9Z1izIyTbpqPh0aWSL5zyQZHCql1ap0uWKKIrWySDYT77jJlnITJJzLVNc0sfRaEC3d7KOXS6FThOVQ8GZgAni8gs4DLgEVWdAjwS7ns8nl6EEvwBSLL1Jsp2QNaA7eFu33BT4AzgxvD4jcD7wte7ga3daqTH4+kaNEwClmTrRZStZAEgIlXAf4DJwJWqOldEhqvqawCq+pqIDAtfzwHm5Guztn81U/adYHZivLbdGBzeCLZEYMb1VdntWJKFY2FQpw0ue+xoO1ddm5jU4CUL9y14ByPzsCSCQhY5jZXZkkWOPrLVTZseQS7JIp992SWL1W8soBj4h3plhqqmgRkiMhj4i4gc0JF2RORm4EyAVCrF0zxqdEL2193EK6+8woQJE/JX7CbKzR4oP5u8PW6WvrIEEdlhHLpTVc8tpI0Wtjz4d72jKWH1TYW0Xc5Ilyzf3QWIyOXADuAi4NhwdjwSeFxVpxXQzg5VresqOwvF25OfcrPJ2+Om3OzpSZSthiwiQ8OZMSLSDzgeWATcA5wfVjsfuLs0Fno8Hk9xKWfJYiRwY6gjp4DbVPU+EXkSuE1ELgReBT5YSiM9Ho+nWJTtgKyqLwKHZDneDLy7E03f2YlzuwJvT37KzSZvj5tys6fH0GM0ZI/H4+ntlK2G7PF4PJWGH5A9Ho+nTOjxA7KIzBaRDSKywDg2SkQeFZG7RWRAeOzTIjJfRJ4XkX+JyH5G/fNFZGm4nW8cf1xExhfJzpNFZLGILBORy8JjDSLycNjvwyIyJDx+rIjc0IX9VtznIyK1IvK0iLwgIi+JyHfC498WkbXh+35eRE4Nj1eLyPXhZ/JCmCulva1jReQZEfmRcey6sN6LInKH8bmKiPwyfF8visihxjkry+Uz6sDn01dEbgw/n4Ui8rVSfz69AlXt0RtwDHAosMA49gNgf+C9wKfDYwON8tOBv4WvG4AV4f9DwtdDwrLHgfFFsLEKWA5MBKqBF4D9gB8Bl4V1LgN+GL4+FrihC/utuM+HIPxwQPi6LzAXmAV8G/hylvqXANeHr4cRRIymwv0/Af2AnwLTs3x+PzPsPhV4IOx/FjDXqLeyXD6jDnw+H4H/3965xshZlXH891+q1lYUxcZQAbcgSiBKhVIuohKwtWhMhaoYjdriJRoIpkHFRKP2GzEkgLS2RFLxglbBSwgfykUUUC5SymWl1IIUYmNtawpKvJUtfz88Z9i325ndmc3OzjDz/JI3877nfp7MPnPOeff8D+vK/QxC6GuwU/bpletFP0K2fQewe1TwAcRm0ucp+4Bt/7MSP5ORfXnvAW6xvdv208AtwKISt5v99dcmwnzgcdtP2N4DrCM0Odqty9Go3r6zj4N62iiNOIYQr8L2TuAZYF6JGyh597OfJBHOqFb2YuAHpf57gIMUG5oAdrXQhbbaaAL2MTBT0jSiv3uA2neoE/bpCV70DrkBK4GrgM8BP6oFSjpf0p+JUcWFJfj1wF8qebeVMGyfY7saN1Ea1bGPLgcxEsP2Xba/0MZ6+9I+kg6Q9CCwk/iRubdEXVCmy2trU35iBLpY0jRJc4ATgMNK3NWEbsqA7Ucr5X8P+BtwNHDlOH3D9oktNL/tNmrRPtcTO2e3E/sBLrVdGxh1wj49QU86ZNtP2X6n7ffbfrYSvsr2kcDFwNdKcD3Vm8n+X8CpqKPpevvVPrb32p4LHArMV2ijrAaOJCRetxPTbIC1hHPYAFxOOJjhUs5Nto+3fdGo8pcBs4FHgXNL8GT1re02atE+84nZ0WxgDnCRpCNKOZ2wT0/Qkw65CdYxMrXbxsjIB+LL+NdJrq9RHTtq07PyuXOK6h2PnraP7WeI9e9FtncUR/Q88F3C0WB72PZy23NtLwYOAh5rouy9xBrqknH61ipTZqNm7EOsIa+3/VxZ0vk9I0s6Y5XdLvv0BH3jkCUdVXl8HyN/XDcBCyW9ukzHFpawyeQ+4ChJcyS9FPgIocnRbl2ORvXuR6/bRw20USrrlQBnA38saWZImlnuFwDDtjc1KFuS3li7J16Wbi7RNwCfKGlOBv5RW2JokbbaqFX7EMsUZ5R+zSReyG2mDlNkn96gnW8Mp+ICfkJMpZ4jfm0/1SDdFcAjwIPAb4BjK3HnAY+Xa1mb2vleYAvxpvyrJexg4sXRY+XzNVNRbz/aB3gr8ADwMOFUvl7CfwgMlfAbgENK+CDwJ2J6fSvwhjHKHiBGiEOl7Gsp/1VATMlXlX4NAfO60UYTsM8rgOvKd2YT8KVO26cXrtw6nSRJ0iX0zZJFkiRJt5MOOUmSpEtIh5wkSdIlpENOkiTpEtIhJ0mSdAnpkJMkSbqEdMh9hKTXSfqxpCck3S/pbklnj5NnUBVp0xbrWyppduX5alVkPcfJe7qkGydSb7NIuqt8Dkr66ATyL5W0cvJblvQr6ZD7hLJD6lfAHbaPsH0Csdvr0DZWu5TQLgDA9qfdYLdbJ7B9arkdJLYCJ0lHSYfcP5wB7LG9phbgEBm6El4YJd4paWO5Th1dwFhpJH1ZI2Lul0j6IKFtcK1C2PzlCkH7eSX9olLGQ5J+3WwnJJ0p6YFS11pJLyvhT0paUcocknR0CZ+lEG7fKOkqSU9Jem2Jq8lNXgK8o7Rz+eiRr6QbVQTqJS2TtEXS7cDbK2lmSfq5pPvK9UJckjRLOuT+4Vhg4xjxO4EFto8nlLi+3WwaSWcRYkQn2T4O+Jbt6wmltI85BHr+UytE0ixCqGZJSf+hZjogaTpwDXCu7bcQp6Z/vpLk76Vtq4EvlrBvALeV8F8Ch9cp+ivAnaWdl41R/yHACsIRLyA0k2tcAVzmkIxcQkhQJklLTOt0A5LOIGkVcBoxaj6RECRfKWkuIav4pjrZGqV5N3G6xr8BPKKL24iTiaWTrU2mr/FmYKvtLeX5+8TJHpeX59rx8/cD55T70whRHGyvl/R0k3XV4yTgt7Z3AUj6Kfva4JhYGQLglZIOdEXeNEnGIx1y//AII5KH2D6/TN03lKDlwA7gOGLm9N86ZTRKI1rTsG01fTXfWPyvfO5l5Ls9Xp56DLPv7HF65b5RuweAU6ozgSRplVyy6B9uA6ZLqk7xZ1TuXwVsd+jefpw45mk0jdLcDJwnaQbEwZsl/FngwDrl3A28S3ESRzX9eGwGBmtSjqUNt4+T53fAh0s9C4lzAUczup1PAnMlDUg6jBEN4HuB0yUdLOkl7LvUcjNwQe2hzCKSpCXSIfcJDlm/DxCOcKukPxBT/otLku8An5R0DzEN/1edYuqmsb2ekGbcoDgCqLZ+ew2wpvZSr9KWXcBngV9IeogQLK/HmZK21S7gbcAy4DpJQ8SZbWsa5K2xgtBz3gicRUi1jl5GeBgYLi8YlxNSkVsJOchLKWvvDp3ebxI/KLey75r8hcA8xVFHm4jjsZKkJVJ+M+lpyn9h7LU9LOkUYLXjmKIk6TpyDTnpdQ4HfiZpgDgZ+TMdbk+SNCRHyEmSJF1CriEnSZJ0CemQkyRJuoR0yEmSJF1COuQkSZIuIR1ykiRJl/B/pxabNshQjUoAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "jfact_map = WcsNDMap(geom=geom, data=jfact.value, unit=jfact.unit)\n", "fig, ax, im = jfact_map.plot(cmap=\"viridis\", norm=LogNorm(), add_cbar=True)\n", "plt.title(\"J-Factor [{}]\".format(jfact_map.unit))\n", "\n", "# 1 deg circle usually used in H.E.S.S. analyses\n", "sky_reg = CircleSkyRegion(center=position, radius=1 * u.deg)\n", "pix_reg = sky_reg.to_pixel(wcs=geom.wcs)\n", "pix_reg.plot(ax=ax, facecolor=\"none\", edgecolor=\"red\", label=\"1 deg circle\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J-factor in 1 deg circle around GC assuming a NFWProfile is 1.35e+21 GeV2 / cm5\n" ] } ], "source": [ "# NOTE: https://arxiv.org/abs/1607.08142 quote 2.67e21 without the +/- 0.3 deg band around the plane\n", "total_jfact = pix_reg.to_mask().multiply(jfact).sum()\n", "print(\n", " \"J-factor in 1 deg circle around GC assuming a \"\n", " \"{} is {:.3g}\".format(profile.__class__.__name__, total_jfact)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gamma-ray spectra at production\n", "\n", "The gamma-ray spectrum per annihilation is a further ingredient for a dark matter analysis. The following annihilation channels are supported. For more info see https://arxiv.org/pdf/1012.4515.pdf" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['eL', 'eR', 'e', 'muL', 'muR', 'mu', 'tauL', 'tauR', 'tau', 'q', 'c', 'b', 't', 'WL', 'WT', 'W', 'ZL', 'ZT', 'Z', 'g', 'gamma', 'h', 'nu_e', 'nu_mu', 'nu_tau', 'V->e', 'V->mu', 'V->tau']\n" ] } ], "source": [ "fluxes = PrimaryFlux(mDM=\"1 TeV\", channel=\"eL\")\n", "print(fluxes.allowed_channels)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/adonath/github/adonath/gammapy/gammapy/utils/interpolation.py:159: Warning: Interpolated values reached float32 precision limit\n", " \"Interpolated values reached float32 precision limit\", Warning\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAOnCAYAAAA+0wHRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOzdd5hU1f3H8fd3d2d7r8AWloWlgwhLE4KKPRZMJIndaKJGYxKT6M8SE0s0apTEFhKxBkWMGrsSRMWCKFWa1IWttO2V7Xt+f9zZ3WFhZ9vMzpbv63nuM3PvnHvvmTjZD+eee88RYwxKKaVUW7w8XQGllFK9mwaFUkoppzQolFJKOaVBoZRSyikNCqWUUk5pUCillHJKg0IppZRTGhRKuZGIRIrIWyJSKSJZInJpV8uLyE0isl5EakTkxXaOU+GwNIpIlcP6ZU72Wy4i9x1n+zwROSQiPh342qqf0aBQyr3+AdQCccBlwD9FZFwXyx8A7geeb++kxpjgpgXIBs532LbEya4vAleIiLTafgWwxBhT3965Vf+jQaH6HBHJFJFbRWSL/V/ez4lInIgsE5FyEflYRCJ6QT2DgIuAPxpjKowxq4B3sf7odrq8MeZNY8zbQKEL6jZERP4rIvkikiEiv7Z/9DYQCXzPoWwEcB6wuLvnVX2TBoXqqy4CzgBGAucDy4A7gWis3/Wv296180TkfREpaWN5v43dRgINxpjdDts2A221KDpbvktExAt4z37seOA04GYROcsYUwW8BlzpsMuPgZ3GmM2urIfqOzQoVF/1pDHmsDFmP/AlsMYY860xpgZ4CzhRRJLt/2L+VEQ+F5EFIhIIYP/MiMgZ9nWx9wncc7yTGWPOM8aEt7Gc10Ydg4HSVttKgRAXle+qqUCMMeY+Y0ytMWYf8Axwsf3zfwM/EpEA+/qV9m1qgNKgUH3VYYf3VcdZD7a//9wYM9cYczJQCdzrUG4dMN/+fgZwyMV1rABCW20LBcpdVL6rhgJDHFtFWK2xOAD7Ja98YJ6IpGAFyysuroPqQzQo1EByP3CBw3o2EG+/k+dHwOtt7Wjv/6hoY1nWxm67AR8RSXXYdgLwnYvKd1UOkNGqVRRijPm+Q5nFWC2JK4CPjDGHj3skNSBoUKgBwxhTC/i22rwSOBWrf2Cnk33PcbyTqNVyThv7VAJvAveJSJCIzALmAS91pbyI+IiIP+ANeIuIfxdvV10LlInIbSISICLeIjJeRKY6lFkMnA5ci152GvA0KNSAISJ+QE2rzW8ADwFr3HTaG4EAIA9YCtxgjGluIdhbKnd2sPxdWJfVbgcut7+/q7MVMsY0YN0AMAnIAAqAZ4EwhzKZwGogCOvOKzWAiU5cpPorEUkGHjXGzLev3wP4G2Nud/xMRBYA/wRGA2nGmHs8UV+leit9ylL1dyeLyKdYl2vWAn9qXcAY83sAERndw3VTqk/QFoVSSimntI9CKaWUUxoUSimlnOr1QSEiF4rIMyLyjoic6en6KKXUQOORPgoReR5rkLE8Y8x4h+1nA49jdTw+a4x5yOGzCKy7VH7W3vGjo6NNcnKyy+utlFL92YYNGwqMMTGtt3vqrqcXgadwGI1SRLyxhlg+A8gF1onIu8aY7fYid9k/b1dycjLr1693aYWVUqq/E5Gs4233yKUnY8wXQFGrzdOAdGPMPvsTtK9ijTUjIvIwsMwYs7GtY4rIdfZJXdbn5+e7r/JKKTXA9KY+inisMWia5Nq3/QprKIH5IvKLtnY2xiwyxqQZY9JiYo5pOSmllOqi3vTAXesZtQCMMeYJ4ImeroxSSilLbwqKXCDRYT0Ba+pHpZTyqLq6OnJzc6murvZ0VVzC39+fhIQEbDZbh8r3pqBYB6SKyDBgP9YkKk4none1bQXbKKwqJMwvjFC/UMJ8rVebV8f+x1RK9U+5ubmEhISQnJzMsdOJ9y3GGAoLC8nNzWXYsGEd2scjQSEiS4FTgGgRyQXuNsY8JyI3Acuxbo993nGUzZ6wdOdS3t177ECZQbYgwv3CifKPIiogipiAGOKC4hgcNJhBQYOsJXAQNm8NFKX6o+rq6n4REgAiQlRUFJ256ccjQWGMuaSN7R8CH/ZwdZr9ZvJvuHT0pZTWlFJaW2q91pRSUlNCSU0JhVWF5Fbk8m3et5TUlBy1ryBEB0STFJrEsLBhJIcmN78OCR6Cj1dvarwppTqrP4REk85+F/3r5SA2MJbYwNgOla2qr+Jw5WEOHTnEocpDHKw8yIGKA2SVZfFx1sdHBYnNy0ZSiBUgTUtyaDLJYcmE+Lp6OmSllHItDYouCvAJIDnM+mN/PMXVxWSWZZJZmklGaQYZZRmkl6SzMmclDaahuVx0QHRzcAwNHcrQ0KEkhSaRGJyol7KUUs1KSkp45ZVXuPHGG3v83BoUbhLhH0GEfwQnxp541Pa6hjpyKnKs8CjNILM0k8yyTJZnLqestqy5nJd4MThosBUcIUkkhSaRFJJEYmgiCcEJ+Hq3ntFTKdWflZSUsHDhQg2KgcDmbSMlLIWUsJRjPiupLiGrPIvssmyyyuyv5Vlsyd9CRV1FczlBiAuKIzEk0QqPkMTmIEkKTSLAJ6Anv5JSqgfcfvvt7N27l0mTJnHqqaeyZcsWiouLqaur4/7772fevHlkZmZy3nnnsW3bNgAeffRRKioquOeee7p1bg2KXiTcP5xw/3BOiDnhqO3GGEpqSsgqyyKnPIfc8lyyy7PJLs9mZc5KiqqPHg0lLjCu+TLW0NCh2qmulAvd+953bD9Q1n7BThg7JJS7zx/ntMxDDz3Etm3b2LRpE/X19Rw5coTQ0FAKCgqYMWMGF1xwgUvr5Ej/avQBItJ8KWtS7KRjPq+orbCCw94SySrLIqs8ixVZK47pVG8KjuHhw5tbNslhyfh5+/XkV1JKdYMxhjvvvJMvvvgCLy8v9u/fz+HDh912Pg2KfiDYN5ixUWMZGzX2mM9Ka0qb+0MyyjLIKMlgV9EuPsn+hEbTCFj9IUkhSYwIH8GIiBGkhqcyImIESSFJ2gJRqpX2/uXfE5YsWUJ+fj4bNmzAZrORnJxMdXU1Pj4+NDY2Npdz1ZPk+legnwvzC2NS7KRjWiI1DTXNd2Sll6Szt2Qve0r28En2JxisOUp8vXxJCU9hZMRIRkWMYlTkKEZFjCLcP9wTX0WpAS0kJITy8nIASktLiY2NxWazsXLlSrKyrNHB4+LiyMvLo7CwkODgYN5//33OPvvsbp9bg2KA8vP2s/7wR446antVfVVzeOwp3sPu4t2sPrD6qCfW4wLjGB05mlGRoxgTOYbRkaOJD47vVw8kKdXbREVFMWvWLMaPH8/UqVPZuXMnaWlpTJo0idGjRwNgs9n405/+xPTp0xk2bFjz9u7yyAx37paWlmZ04iLXKqwqZFfxLnYX7WZn8U52Fe0iozSj+ZmQUN9QxkSNab4ENi5yHAkhCRoeql/YsWMHY8aM8XQ1XOp430lENhhj0lqX1RaF6pCogChOCjiJk4ac1Lytur6aPcV72FG0g+2F29leuJ2Xtr9EfWM9YIXHuKhxjI8ez4ToCUyImUB0QLSnvoJSqos0KFSX+fv4MyHGCoAmtQ21pJeks71wO98Vfse2gm08v+355pbH4KDBjI8ezwkxJzAhegJjo8bi7+Pvqa+glOoADQrlUr7evs2Xn+YzH7D6PXYU7mBbwTa2FWxjS8EWVmStAMBHfBgdObq5w31SzCTiguI8+RWUUq1oUCi3C/AJYHLcZCbHTW7eVlBVwNb8rWzO38ym/E28vvt1Xt7xMmC1OibFTGJy3GTS4tJICU/BS3rTrL1KDSwaFMojogOiOTXpVE5NOhWwxsDaWbSzOTg2HN7AssxlAIT7hTMlbgppcWlMHTSV1IhUDQ6lepAGheoVbN625v6Oy7kcYwy5FblsOLyB9YfWs/7wej7J/gSwng1pCo1pg6YxInyE3l2llBtpUKheSURIDEkkMSSRC0dcCMChykOsO7SOtYfWsu7QuubgiA6IZtqgacwYPIPpg6czJHiIJ6uuVL+jQaH6jEFBgzh/+PmcP/x8APZX7GftwbV8c/Ab1hxcw4cZ1uSIiSGJzBw8k1nxs5g+eDpBtiBPVlupPk+DQvVZ8cHx/CD1B/wg9QcYY0gvSWfNwTV8c/Ab3tv3Hq/tfg0f8WFS7CRmxc9idvxsRkWM0stUqk/KzMzk7LPPZvbs2XzzzTeccMIJXH311dx9993k5eWxZMkSPvzwQ4KDg7nlllsAGD9+PO+//z7JycndOrcGheoXRITUiFRSI1K5fOzl1DXUsSl/E6v2r2L1gdU8vvFxHt/4ONEB0cyOn83s+NnMHDKTUN9QT1dd9TXLbodDW117zEET4JyH2i2Wnp7O66+/zqJFi5g6dSqvvPIKq1at4t133+Uvf/kLkyYdO7q0K2hQqH7J5m1j6qCpTB00ld9O+S35R/JZfWA1q/av4pPsT3g7/W18xIfJcZM5OeFkTk48maGhQz1dbaWcGjZsGBMmWA+4jhs3jtNOOw0RYcKECWRmZmpQKNUdMYExzBsxj3kj5lHfWM/m/M18mfsln+d+ziPrH+GR9Y+QHJrMKYmncHLCyZwYeyLeXt6errbqjTrwL3938fNrmTfGy8ured3Ly4v6+nodZlwpV/Hx8mFK3BSmxE3h5ik3k1uey+e5n/NF7he8vONlXvzuRSL9Izk18VROSzqN6YOn6xzlqk9ITk7m/fffB2Djxo1kZGS45LgaFGrASwhJ4LIxl3HZmMuorKvky/1f8mnWpyzLWMZ/9/yXYFswcxLmcPrQ05kdP1vnJFe91kUXXcTixYuZNGkSU6dOZeTIkS45rg4zrlQbahpqWHNwDR9nfczKnJWU1JQQ4BPA7PjZnJl8JnPi5xBoC/R0NVUP0GHGlVLH5eftx5yEOcxJmEN9Yz0bDm9gRdYKPs76mBVZKwjwCeCUhFM4e9jZzI6frZenVL+lQaFUB/h4+TB98HSmD57OHdPuYGPeRv6X8T9WZK1gWeYygm3BzE2ayznDzmHG4Bk617jqV/TXrFQneXt5N996e/v021l7cC3/y/wfn2R9wrt73yXSP5JzU85l3vB5x0w1q1RfpEHhoKy6jvoGg6+PFzZvwdfbS5/iVU7ZvGzMip/FrPhZ/HHGH1m1fxXv7X2PpTuX8tL2lxgZMZILhl/AuSnn6ux+qs/SoHBw33vbeWND7lHbfLwEm7eXPTy88GsKEfu643Zfby/8bPZXH298fazP/XysdT+bw3sfL/u69d7f1vLqbzt63c9HA6sv8PX2ZW7SXOYmzaWkuoRlmct4N/1dHl3/KH/f8He+F/89Lky9kDkJc7B52TxdXaU6TIPCwQ9OjGf8kFDqGgy1DY3U1jdS12AttfWN1DUa6uobmz+rdXhfUVPfvK2mvpGa+oaj1usbu3d3WVN4BNiXpkAJ8G1ZD/T1JtDXhwBfbwJt3tarrw9BftZroK83QX4+BPl6E+jnQ7CvD4F+3ti8dW4HVwv3D+eS0ZdwyehL2Fuyl3f2vsN7e9/js9zPiPSP5ILhF/DD1B8yLGyYp6uqVLv09tge0tBoqK1vpLqugdqGRmrqGqmub6CmzgqV6jrrs2r7e8dtNXUNVNv3PVLbYJWra6Sqrt56tW87UtvAkdp6quoaqGvo+H9XX28vgvy8Cfb3IcjXh2A/H+u9nw8hfi3rwX4+hPj7EOJvc3jvQ6i/jRB/G/42bfk4U99Yz1f7v+Kt9Lf4POdz6k09U+KmcFHqRZwx9AydO7wX6w23x2ZmZnLeeeexbds2lxxPb4/thby9xPrXv2/PDAtR19DYHBxHahs4UtNAZW09VbXWa2VNPZU11ucVNQ329XrK7a/FlbVkFx2hsqaeiup6Kmsb2j2nzVsI8bcR6u9DaICNUH8boQE+hDW/txHWagkPtBEe4EuIvw9eXv07ZHy8fDg50RpXqqCqgHfS3+HNPW9y56o7eXDtg5yfcj7zR84nNSLV01VV6igaFP2UzduLsAAvwgJccy28odFQUVNPeXUd5dX1R70vr66nzP6+rKppWx2lVXUcKqumtMp6X1vf2ObxRbCCoylEAn2JDLQRHuhLZJAvEYE2IoJ8iQi0lsggXyKCbPj59M3xmKIDovnZhJ9x9firWX9oPW/seYPXd7/OKztfYUrcFC4efTGnJZ2mfRnqKPX19Vx11VV8++23jBw5ksWLFxMY6P6HPnt9UIhIELAQqAU+M8Ys8XCVBiRvL2luBXRVdV1Dc2iUVtVReqSOkub3tRQfafms5EgtmQWVFFfWUl5T3+Yxg/187KHhS5R9iQz2JTrIj6hgX6KDW14jg3x7XX+Ml3gxbfA0pg2eRnF1MW+nv81/dv2HWz+/leiAaOaPnM/81PnEBcV5uqrK7uG1D7OzaKdLjzk6cjS3Tbut3XK7du3iueeeY9asWVxzzTUsXLiwee4Jd/JIUIjI88B5QJ4xZrzD9rOBxwFv4FljzEPAD4E3jDHvich/AA2KPsrf3ukeF9q5a/G19Y2UVNVScqSOospaSo7UUlRZR1FlDUWVdRRW1lBUWcuh0mp2HCyjsLK2zdZLRKCN6GA/ooP9iAnxIzbEerXe+zdvCw+09Xh/S4R/BFePv5qrxl3Fqv2reHXnqzy9+Wme2fIMc5PmctmYy5gcO1n7gQawxMREZs2aBcDll1/OE0880X+DAngReApY3LRBRLyBfwBnALnAOhF5F0gAmmYJaf9Cuep3fH28iA3xJzakYwFjjHWZrKCiloKKGgorasivqKWgvIbCyhoKymvJr6hhU04J+eU1VNUd+7Py9fYiNtSPuFB/4ppf/RnU9BpmvXdHn5OXeDUPHZJTnsNru17jzT1vsiJrBaMjR3Pp6Ev5fsr38fP2a/9gyuU68i9/d2n9j4Se+keDR4LCGPOFiCS32jwNSDfG7AMQkVeBeVihkQBsAtq8biAi1wHXASQlJbm+0qrPELE61UP8bQyLdj5ftjGGytoG8sqqyS+vIb+ihsNlNeSVV5NXVsOh0mp2HSrny90Fx70EFh5oY3BYAIPD/JuXIeEBxIcHEB8RwKBQf3y6cbkrMSSR36f9nhsn3cgH+z5gyY4l/Gn1n3hs42NcPOpifjTqR/og3wCSnZ3N119/zcyZM1m6dCmzZ8/ukfP2pj6KeCDHYT0XmA48ATwlIucC77W1szFmEbAIrNtj3VhP1Y+IiHX7b0wwKTHBTstW1tRzqKyaw6XVHCyt5lBZNQdLqzhYYq1vyimhqLL2qH28vYRBof7ERwSQEBFAQkQgiREBJEYGkhgZyKBQf7w7cLdXgE8A80fO56LUi1hzaA0vbX+JhZsX8szWZzgv5TwuH3s5IyNcM6S06r3GjBnDv//9b66//npSU1O54YYbeuS8ToNCRLZ04Bj5xpjTXFCX4/2/xRhjKoGrXXB8pbolyM+H4THBDHcSKNV1DewvqWJ/cdVRr7nFR/h6byGHyvbj+OiSzVtIiAgkISKApMhAhkYFMjQqiOSoIIZGBeJvO/rSlogwY/AMZgyeQUZpBkt2LOGd9Hd4K/0tZgyewTXjr2HG4Bnaj9EPJScns337do+cu70WhTfwfSefC/Cui+qSCyQ6rCcAB1x0bKV6hL/N22mY1NY3cqCkipziI+QUVZFddMT+/ggfbD1IyZG6o8oPCvVnaFQgw6KDSI4OYlh0ECnRQSRFBTIsbBh3zbiLmybdxBt73uCVHa9w3YrrGBM5hmsmXMMZSWfodK7KJdoLiuuNMVnOCojIjS6qyzogVUSGAfuBi4FLXXRspXoFXx8vku1/9I+n9EgdWUWVZBRUkl14hMzCI2QVVrJi+2EKHS5reQkkRASSEhNESnQwKTFncM+J55JR/QVvpL/MrZ/fSlJIEleNu4p5I+Zpx7fqlvaCYoaIZBljctoqYIxZ1dmTishS4BQgWkRygbuNMc+JyE3AcqyWzPPGmO86e2yl+rKwQBsTA8OZmBB+zGdl1XVkFlghsje/kn35FezNr+SbfYVU1zXdDhxMRNBNxA/aQ9mRFfz5mz/z+IanuHjU5Vwz8TKCbM4795U6nvaCIh5YLSIZwFLgdWNMQXdPaoy5pI3tHwIfdvf4XVZ2ALx8ICjGelRYqV4k1N/GxIRjQ6Sx0XCwrJq9eRXsyasgPa+c3YdD2J8+giNeu6mP+oxF255k0eZnieV0ZkZdyMT4wYwdHMqI2OBj+kGUaq3dQQHF6hWbg3UpaB6wGSs03jLGlLu9hl3Q5UEB3/4lbHoZ/EIhchhEDoeo4S2vUSMgMNL1FVbKDYwx5JXXsPtwOZ9nbmTl4aXkNWzANPpRW3QSdUWz8TLBpEQHMXpwKOOHhDIhPoxx8WEuG/qlv+gNgwK6WmcGBezU6LH2h+JOBx4CRhljeuXM8l0Oipx1sH8DFO2Fwr3Wa0k2GIenfP3D7eGR0ipIUiAgwnVfQik32FW0i0VbnmFF1kfYvPwYGXAWvpWnkn5Q2F9S1VwuOSqQCQnhTIgPZWJCOBPiwwjy60130/esgR4UHf4vLyITsFoVPwEKgTu7Wc/eJ3GqtTiqr4WSrJbgaHrNXgNb3wAcgjYg0mp1RI2wgiNqREuY+Oq1YeV5oyJHseCUR9lbspentzzN8sz38PP5iB+f9mN+kHI5uYXebM0tYev+UjZmFfPeZuvGQy+BkXEhnJgUzomJEZyYFM7wmOB+P+Jvb/LWW29x7733HrVty5YtfPDBB5xzzjluPbfTFoWIpGKFwyVYw2e8Cixtenq6t+qx+SjqqqE48+gAKbQv5a3u7A0Z0nL5KmpEy/vwoeDj6/66KnUcGaUZLNqyiA8zPsTP248rxl7BT8f9lBDfEAAKKmrYmlvKtzklbMopYVN2MWXV1hPqIf4+TEoMZ3JSBGnJEUxOiui3rY7e2KJYtGgRS5YsYeXKlXh5df7pf5ddehKRfVj9Ea8aY7a2WbCX6RUTF9VWQtE+e3DsgcJ9UJhuva8qbikn3hAxtCVAIlNa3ofGQxd+AEp1VkZpBv/Y9A+WZy4n1DeUn034GZeMvoQAn4CjyjU2GjIKK9mYVczG7BK+zS5m1+FyjLGeQh8/JJRpwyKZNiyKqckRhAf2j38E9bag2L17N3PnzmX16tVdHrLILX0UIjIUSDXGfCwiAYBPv+vM7ilHiuwBkm61Qgr2tLRI6o60lPPxt/eFpBzbEtE7s5Qb7CjcwZPfPsmX+78kOiCa6ydez0WpF2Hzbrtzu7y6jm+zS1ibUcTazCI25ZQ0j947Ki6EmcOjOGl4FNNTovpsJ7njH9VDf/kLNTtcO8y435jRDLqzY1fz6+rqmDlzJrfccgsXX3xxl8/p8j4KEbkWa8C9SGA41lPT/wJcMXTHwBMYaS2t+0OMgfKD9pbH3pbXgt2wezk0Ojy16xtiD43jXM7yD+vZ76P6jTFRY1h4+kI2Ht7I4xsf54E1D/Dv7/7Nryf/mrOSz8JLjm3hhvjbmDMyhjkjYwBrGJMtuaWsyyzim32FvLoumxdXZ+IlMCEhnFnDo5g9IpopyRF9duIpT/rjH//IuHHjuhUSndWhFoWIbMIa3XWNMeZE+7atxpgJbq5fl/T6FkVXNNRDabZ1CauoKUTsQVKSzVGd6kGxRwdH82WtYeCjT+iqjjHGsGr/Kh7b+Bi7i3czNmosv53yW2YMntGp49TUN7A5p5RV6QWsTi/g25wSGhoN/jYvpg2LYk5qNKeMimF4THCvHaOqt1x6+uyzz7j22mvZuHEjISEh3TqWyy89icgaY8x0EfnWGHOiiPgAG40xE7tVUzfpl0HhTH0NFGU4hEdTn8geqMx3KCgQlnjsHVmRw61+EieXF9TA1Wga+WDfBzz57ZMcrDzI7PjZ/G7K77o8t3d5dR1r9hWxKr2AL/fksze/EoDEyADmjorl1NGxzEiJ6lUPAvaGoCguLmby5Mm88sorzJw5s9vHc0dQ/BUoAa4EfgXcCGw3xvyh27V1gwEXFM5Ul7bcidXUJ9K0XlPaUk471VU7ahpqWLpjKYu2LKKyvpILR1zITZNuIiYwplvH3V9SxcqdeazcmcdXewuormvE3+bFrOHRnD42jtPHxBET4tmWcG8IigcffJD777+f1NSjA/qOO+7gJz/5SaeP546g8AJ+BpyJNWLscqypSnvlvA8aFB1gDBwpbHVb756WS1utO9Ujhh3dJxJpfw2O1U71AaakuoSntzzNq7texeZl4+px1vStgbbuP39bXdfAN/sKWbkzj0925pFbXIUIpA2N4Kxxgzhr3CASI3v+Od/eEBSu5rYns/sKDYpuaqtTvWivdYnrqE71YIen0x36Q/RJ9X4vpyyHxzY+xkdZHxEbEMvNU27m3JRzj9vh3RXGGHYeKmf5d4dY/t1hdhwsA2B8fCjfnzCY8yYMISmqZ0JDg8L5cxTzgARjzD/s62uApnbmbcaY111WaxfSoHCjxgar87xob8uzIU2d662HOwmMsodGqhUm0anWe+1U71c25W3i4bUPs61wGxOjJ3LbtNuYGOP67suswkr+t+0QH247xOacEgAmxIcxb9IQLpg0pMNzqneFBoXzoPgKuLhpmHH73U+nAUHACy6a2c7lNCg8pL4GirOODo8Ce+d6xeGWcuJlPZHeFBzRqS3v9VJWn9RoGnlv73s8tvExCqoKuGD4Bdw8+eZu91+0JafoCMu2HeT9LQfZkluKt5cwJzWaH05O4IyxcS7vCN+xYwejR4/utXdldZYxhp07d7osKNYZY6Y6rD9ljLnJ/v4bY0zn7pPrIRoUvVB16dHBUbCn5S6t+uqWcn5hEG1vhUSPaGmRRKaAb68cg1I5qKyr5Jktz7B4+2JsXjaunXgtV469El9v9z2hnZ5Xzn837uetjfs5VFZNiL8P500cwo/TEpiUGO6SP+4ZGRmEhIQQFRXV58PCGENhYSHl5eUMGzbsqM+6GhTpxpgRbXy21xgzvLuVdgcNij6ksRHKcq2HCluHSNn+o8uGJbb0gUSntryGJuhdWb1MTlkOj6x/hJU5KxkaOpQ7pt3BrPhZbj1nQ6Nh9d4C3ty4n2XbDlJd18i4IaFcPmMo8yYNIdC36/XxN48AACAASURBVONQ1dXVkZubS3V1dfuF+wB/f38SEhKw2Y6+Jb6rQbEE+MwY80yr7dcDp7Q1AZGnaVD0E7WVLXdjFTg8I1KQDrUOo8f4+Fud6c0tkdSWFok+pe5RX+3/igfXPkhWWRanJ53ObdNuY1DQILeft7y6jrc3HWDJN1nsPFROiL8P86ckcMWMoaS0MZ+56npQxAJvAzXARvvmKYAfcKEx5nBb+3qSBkU/ZwxU5Nlv501vaYEU7LFG8zUNLWWDYh1aHyNb+kPCh4JX73mgqz+rbahl8fbFPL35aUSEX5zwC64Yc4XT8aNcxRjDhqxiXvomiw+3HqSuwTBnZAzXzEpmTmqMDpPeSnefo5gLjLOvfmeM+dTF9XMpDYoBrL7WCoumS1gFe+zvdx89aq+3b0srJHqktWgrxK0OVBzg4bUP82nOpwwPG84fZvyBqYOmtr+ji+SVV/Pq2hxe/iaLvPIahscEcc3sYVw0OaFXPQXuSfochVKVhQ4BstuhFZIBjfUt5YIHtbQ8mgMk1eoj0b6Qbvsi9wv+suYv7K/YzwXDL+D3ab8n0r/nphiurW/kg60HeG5VBtv2lxEb4sd1c1K4dHpSt/ox+gMNCqXa0lBnHyvLIUSaXqtLWsr5+LeERswoe5CMsp4RsQW0fXx1jKr6Kp7Z8gwvfPcCgT6B3JJ2CxeOuLBH7ygyxrB6byFPfZrO1/sKiQi0cc2sYVx5UnKfHQ69uzQolOosY6CyoOXSVf7ulvfFWbSM2CvWOFnRo1pCJGa01RoJCPfkN+j19pbs5b6v72Nj3kamD57O3TPuJjE0scfrsSGrmIUr0/lkZx7Bfj5cOXMo181J6TcTL3VUVzuzlwP/A5YZY1w7U4cbaVAot6urss8VsssKkILdLS2RhpqWcsFx9tbHKHuA2N/rg4XNGk0jb+x+g79v+Dv1jfXcOOlGrhh7BT5ePX8ZaPuBMv7xWTofbj1IsJ8Pvzh5ONfMGkaA78Dow+hqUAwCzrYvI4E1WMHxiTGmwk117TYNCuUxjQ1QkmWFR/5Oe0tkp7XueEuvf1hLq6M5SEZCWNKA7Qc5XHmYB9Y8wMqclYyJHMM9J93D2KixHqnLzkNlPLp8Fx/vyCM2xI+bTx/Jj9MS8PHu3/9tXDEVqhcwHTgHaxiPKuAjY8xfXVlRV9CgUL2OMVB2wKEFsqslTI4UtJTzCbACI2a0vQUyxnqNSB4Qt/MaY/g4+2P+suYvFFcXc/X4q7nhhBvc+mS3M+szi3ho2U7WZxWTEhPE/501mrPGxfX5p7Pb4vI+ChGJBs4yxizpbuVcTYNC9SlHiiB/19Hhkb/LemK9ibef1fqIdQiQ2DH9NkBKa0pZsH4Bb6W/xYjwEdw/637GRY9rf0c3MMawYvthHvrfTvblVzIjJZK7zx/HmMGhHqmPO2lntlJ9TXWZFRj5O1vCI3+XNSVuk6MCxL70owD5MvdL7vn6HgqrCrlm/DXccMINPfKg3vHUNzSydG02C1bspqyqjkunJ3HrmaMJC+w/d0hpUCjVX9SU21seOyBvR0uIlOa0lOlHLZCy2jL+uvavvLP3HUZFjOKB2Q8wKnKUx+pTcqSWxz7ew0vfZBEZ5Muf543j7PGDPVYfV9KgUKq/OyZAjtMC8fG338JrD46mpQ90oq/MXsm9X99LaW0pv5z0S64edzXeHgy9bftLue2/W/juQBlnjxvEffPGERvqvjkxeoI7+iiuNsa80O2auYEGhVIOaiqs/o+8nZC33WqB5O08ug/EFmS1PmLHQty4ltegaM/V+ziKq4u5/5v7+SjrI06MPZEHZj9AYkjPP3fRpL6hkWe+zODvH+/G38eLu84dy4/SEvpsZ7c7giLbGJPU7Zq5gQaFUh1QXWq1OPJ2WAGStx0Of2fNpd4kOK4lNJqW6FFg89y/nI0xfJDxAX/55i/Um3rumHZHjz/V3dq+/Apuf3MrazOKmDUiiod+ONEjc3t3V1efo9jS1kfASGNMr5zPUoNCqS5qGpk37zs4bA+OvO+sQGmaYEq8rdF445paH/YACU/q0YcID1Ue4s5Vd7Lu0DrOTTmXP874I0G2oB47f2uNjYZX1mbz0LKdeAk8+qMTOHOc+4dUd6WuBsVh4CyguPVHwGpjzBCX1tJFNCiUcrGGeijaZw8Qh6Ukq6WMX6i91TG+5TV2DPi5b/6HhsYGntn6DP/c/E8SQxJ5ZM4jjIny7NzW2YVHuPGVDWzbX8bPZw/jtnNGY+sjD+p1NSiew5obe9VxPnvFGHOpa6vZZj0uBM4FYoF/GGM+clZeg0KpHlJTbl26Orzt6ACpKbMXEIgcZoXGoIkwaDwMmgCh8S5tfaw/tJ7bvryN4upifp/2ey4dfalHL0XV1DfwwAc7WPx1FpOTwvnHZZMZHNb7B4702F1PIvI8cB6QZ4wZ77D9bOBxwBt41hjzUAeOFQE8aoz5mbNyGhRKeZAxUJJthcehbXB4q/VanNFSxj/cCoxBE+2vE6zbeLvxjERxdTF3fXUXX+R+wdzEudw36z7C/Dw7t8j7Ww5w2xtb8LN589hPJjFnZIxH69MeTwbFHKACWNwUFCLiDewGzgBygXXAJVih8WCrQ1xjjMmz77cAWGKM2YgTGhRK9UI15VZr49BWa2lqhTT1fXj7WpeqBk2EwSdYr3HjOnXpyhjD4u2LeWzjY8QFxvG3U/7msfGimuzNr+CGlzewJ6+C350+kpvmjui1d0V19dLTRmPM5HYO3JEyycD7DkExE7jHGHOWff0OAGNM65Bo2l+Ah4AVxpiP2yhzHXAdQFJS0pSsrKzjFVNK9SYN9dYEUoe2wqEt1nJwC1QV2QuI1XE+eGJLgAw+AQKdT3S0NX8rv/3st5TUlHDXjLu4cMSF7v8uThyprefON7fy9qYDXHDCEP46f2KvnFWvq0FRBexxdlwgrL3bZI8TFPOBs40xP7evXwFMN8bc1Mb+vwauwmp5bDLG/MvZ+bRFoVQf1jSAYlNoHNxsvXd88jwssaXVMWQSDDnRGrrdQVF1Ef/3+f+x5tAafjzyx9w+7XaPDf8BVmtn4Wd7eWT5LiYlhrPoyinEhvSuB/TaCor2Bnwf3YFjN7Rf5Nj6HGdbm4lljHkCeKIL51FK9TUiEBZvLaPOadl+pKglNJoCZOcHNP/pCI23AsMeHJFDJvOvM/7FE98+wQvbXmB38W4WnLKA2MDY457W/V9L+OWpIxgeE8Rv/7OZHy5czZKfT2dolOdu6e2oHhnCo7uXnjpLWxRKDRA15VZoHPgWDmyEA5ugaG/L5+FDIX4y/wsJ40/5XxHkG8zfTv07J8ae6Lk6A5tzSrjqhbXYvL146WfTGD2od4xE69Gxno4TFD5YndmnAfuxLildaoz5zhXn06BQagCrKrFaG03hsf9bKM1mj83Gb+KiOehj467AVC4adi7ET7E6zD1wSWrP4XIuf24N1XWNvHD1VCYnRfR4HVrz5F1PS4FTgGjgMHC3MeY5Efk+8BjWnU7PG2MecNU5NSiUUkepyIcDGynN+Ybb9i/jK1PJpaXl3FpUjI+PPwyeBAlp9mWqy5/zaEtO0REuf24N+eU1LLoijdmpnh1bq1tBISJjjTHbW207xRjzmeuq6DoaFEqpttQ31vP3DX9n8fbFzAhJYYF/KqEHNlutkKb5zoMHQeJUSJgGidOtjnM3jW+VV1bNlc+vZV9+JU9cciJnj/fcsB/dDYptwEvAXwF/+2uaMWamqyvqChoUSqn2vJ3+Nvd+fS9DQ4ay8PSFDPGPth4OzN0Auesgdy0UZ1qFvX2tsEiYBknTrfAIcd0f9JIjtVz94jo255Tw1/knMH9KgsuO3RndDYog4GFgChACLAEeNsY0urqirqBBoZTqiLUH13Lzypvx8/HjqdOeYlxUq+lWK/IgZ60VGjnrrD6PpgcEw4dC0gz7cpI1UVQ35vSorKnn+pc28NXeAh6/+EQuOKHnh9LrblD4Ag9gPUkdDNxljHnV5bV0EQ0KpVRH7S3Zy40f30hxTTGPzHmEkxNPbrtwfa11e27OGsj+GrLXQGWe9VlABCTOgKEzreAYMqnTneRVtQ1c9cJaNmYVs+jKKcwdHdeNb9Z53Q2KzcA7wJ+BKOBpoM4YM9/VFXUFDQqlVGcUVBXwy09+yc6indwx7Q4uHn1xx3Y0xhpVN/tr+/KN9aQ5gC0QEqfB0Fkw9CSIT+tQP0d5dR2XPbuGXYfKefHqacwcHtWNb9Y53Q2KNGPM+lbbrjDGvOTCOrqMBoVSqrOO1B3hti9u47Pcz7hq7FX8Lu13eEkXLiVV5FmhkbUaMr+yxrTCWP0c8WmQPNtaEqeB7fgjyhZX1vLjp7/mQEkVS66dwaTE8O59uQ7qblAcd4gOY0z28bZ7mgaFUqorGhobeHjdwyzduZTzU87nvln34ePV3gAW7agqti5RZa2yguPgJjCNVnAkTodhc6wlfspRl6oOl1Uz/1+rKa+u57XrZzIyLqSb36593Q2KrVjPyQvWXU/DgF3GmHFOd/QQDQqlVFcZY3hm6zM8+e2TnJp4Ko+c/Ah+3i6czLO6zGpxZHxhLYfsf15tQVb/RsopkHoWRKeSXVTF/H+tRgTe+MVJbp9e1aUP3InIZOB6Y8z1rqicq2lQKKW665Udr/Dg2geZPng6T5z6BIE2N/2RPlIEmavswfE5FOy2tkckQ+pZ5MTM4QcfCAGBASy9dgYJEe4LC5c/md2R4cU9RYNCKeUK7+59lz999SfGR49n4ekLCfXtgTGZSnJgz3LY/ZEVHPXVNPgE8nn9WNb7TOYnF1/F0BHj2z9OF3T30tPvHFa9gMlAVNOgfr2NBoVSylU+yfqEW764hRHhI3j6jKeJ9Hc+F4ZL1VVBxpew+3/U7lyOb0UuALUhSfiOmAPJc6yO8bB4l5yuu0Fxt8NqPZAJ/NcYU+2S2rmYBoVSypW+2v8VN6+8mcHBg3n2zGc9M1S5MWSnb+H1/yxmcv0mZtt2Y6uzz00eMcx+N9X3IPWMdid2aotHR4/taRoUSilXW39oPb/85JfEBsby3FnPeWxei9ziI/z83+tJP1zKw7O9+WFkBpL5lXVXVXUp/PRDSJ7VpWN3dYa793A+odAFXaqNm2lQKKXcYVPeJq5fcT0xgTE8d+ZzxAX17JPTTSpr6rn1jc18uPUQF5wwhIcvmkiAD9Yc5DGjwKdrd2l1NSicPMsOxpjPu1QbN9OgUEq5y6a8Tfzi418QHRDN82c977GWhTGGf6xMZ8GK3YwdHMrTV0zp9h1RXQ2KpN76UJ0zGhRKKXdqalkMCR7Ci2e/SJhfmMfq8unOw/xm6SZsPl4svGwyM1K6PuRHW0HR3vPpbzsc4L9dPrtSSvUjk2In8eTcJ8kuy+bGj2/kSN0Rj9Vl7ug43r5pFuGBNi5/dg1f7sl3+TnaCwrHKZ5SXH52pZTqo6YNnsZfT/4r2wq38ZuVv6G2odZjdRkeE8zbv5zF1bOSSRvq+tt32wsK08Z7pZQa8E5LOo37TrqPbw5+w+1f3k5DY4PH6hLqb+MP544lwNfb5cduLyhOEJEyESkHJtrfl4lIuYiUubw2SinVx8wbMY9b025lRdYK7vvmPvrjIwdOh0U0xrg+mpRSqp+5ctyVlNaWsmjLIsL8wvjdlN+1v1Mf0s3xc5VSSgHcNOkmSmtKeWHbC0T6RfLT8T/1dJVcRoNCKaVcQES4c/qdlNSUsGDDAgYHD+as5F45HF6naVAopZSLeIkXD8x+gMOVh7nzyzuJC4xjUuwkT1er27owz59SSqm2+Hn78cTcJxgUNIhff/prssv63DPLx9CgUEopF4vwj2Dh6QsxGH75yS8pqS7xdJW6RYNCKaXcYGjoUB4/9XH2V+zn5s9u9ugDed2lQaGUUm4yOW4y98+6nw2HN3D36rv77DMW2pmtlFJu9P2U75NbkcuT3z5JYkgiN0660dNV6jQNCqWUcrNrJ1xLdlk2/9z8T4aGDuXclHM9XaVO0UtPSinlZiLC3TPvJi0ujT9+9Uc25W3ydJU6RYNCKaV6gM3bxt9P+TtDgofwm5W/Ibc819NV6jANCqWU6iHh/uE8Nfcp6hvruemTm6iorfB0lTpEg0IppXpQclgyfzvlb2SWZfJ/X/yfR4cm7ygNCqWU6mHTB0/njml38OX+L3ls42Oerk67+kRQiEiQiGwQkfM8XRellHKFn4z+CT8Z9RNe/O5F3k5/u/0dPMitQSEiz4tInohsa7X9bBHZJSLpInJ7Bw51G/Cae2qplFKecdu025g+eDr3fn0vGw9v9HR12uTuFsWLwNmOG0TEG/gHcA4wFrhERMaKyAQReb/VEisipwPbgcNurqtSSvUom5eNBScvID44nt9+9lv2V+z3dJWOy61BYYz5AihqtXkakG6M2WeMqQVeBeYZY7YaY85rteQBpwIzgEuBa0XkuHUWketEZL2IrM/Pz3fjt1JKKdcJ8wvjyblPUtdQx68+/RWVdZWertIxPNFHEQ/kOKzn2rcdlzHmD8aYm4FXgGeMMY1tlFtkjEkzxqTFxMS4tMJKKeVOw8KG8ejJj7KvZB+3f3k7jcf/M+cxnggKOc62dkfKMsa8aIx53w31UUopjzsp/iRunXorn+V8xsJNCz1dnaN4YqynXCDRYT0BOOCBeiilVK9y6ehL2VW0i6e3PM2oyFGcMfQMT1cJ8EyLYh2QKiLDRMQXuBh41wP1UEqpXkVEuGvGXUyMmcgfVv2BXUW7PF0lwP23xy4FvgZGiUiuiPzMGFMP3AQsB3YArxljvnNnPZRSqq/w9fblsVMeI8QWwm9W/qZXzI4nfXUiDWfS0tLM+vXrPV0NpZTqsq35W/np/37KibEn8q8z/oWPl/t7CkRkgzEmrfX2PvFktlJKDTQTYibwp5l/Ys2hNSxYv8CjddGJi5RSqpeaN2IeO4t28vKOlxkVOYoLR1zokXpoi0IppXqx36f9numDpnPf1/ex+sBqj9RBg0IppXoxHy8fFpyygOSwZG5eebNHZsfToFBKqV4uzC+MRWcsIjYwlhs/vpGdRTt79PwaFEop1QdEB0TzzBnPEOQbxPUrrue7gp57qkCDQiml+ojBwYN59sxnCfAJ4OrlV/N5zuc9cl4NCqWU6kOGhg7l5e+/TEpYCr9e+Wte3fmq28+pQaGUUn1MdEA0z5/1PHPi5/DAmgdYsH6BW0ec1aBQSqk+KNAWyGOnPsbFoy7mxe9e5NbPb6WmocYt59IH7pRSqo/y9vLmzul3khCSwKPrHyXvSB5PzH2CCP8Il55HWxRKKdWHiQhXjbuKBScvIL0kncyyTJefQ1sUSinVD5yZfCbTB08nzC/M5cfWFoVSSvUT7ggJ0KBQSinVDg0KpZRSTmlQKKWUckqDQimllFP9cipUESkF9jgpEgaUtvFZNFDg8kq5n7Pv1JvP1dVjdWW/ju7TkXLOyujvq/ecqzvH6uy+PfX7cvZ5d39fQ40xMcdsNcb0uwVY1NXPgfWerr87vnNvPVdXj9WV/Tq6T0fKtfMb0t9XLzlXd47V2X176vfl7HN3/b7666Wn97r5eV/Uk9/Jlefq6rG6sl9H9+lIOWdl9PfVe87VnWN1dt+e+n115lwu0S8vPXWHiKw3xqR5uh6qf9Lfl3Ind/2++muLojsWeboCql/T35dyJ7f8vrRFoZRSyiltUSillHJKg0IppZRTGhRKKaWc0qBQSinllAZFJ4lIkIhsEJHzPF0X1b+IyBgR+ZeIvCEiN3i6Pqp/EZELReQZEXlHRM7szL4DJihE5HkRyRORba22ny0iu0QkXURu78ChbgNec08tVV/lit+XMWaHMeYXwI8BfdZCNXPR7+ttY8y1wE+Bn3Tq/APl9lgRmQNUAIuNMePt27yB3cAZQC6wDrgE8AYebHWIa4CJWGOp+AMFxpj3e6b2qrdzxe/LGJMnIhcAtwNPGWNe6an6q97NVb8v+34LgCXGmI0dPf+AmQrVGPOFiCS32jwNSDfG7AMQkVeBecaYB4FjLi2JyKlAEDAWqBKRD40xjW6tuOoTXPH7sh/nXeBdEfkA0KBQgMv+fgnwELCsMyEBAygo2hAP5Dis5wLT2ypsjPkDgIj8FKtFoSGhnOnU70tETgF+CPgBH7q1Zqo/6NTvC/gVcDoQJiIjjDH/6uiJBnpQyHG2tXstzhjzouurovqhTv2+jDGfAZ+5qzKq3+ns7+sJ4ImunGjAdGa3IRdIdFhPAA54qC6q/9Hfl3KnHvt9DfSgWAekisgwEfEFLgbe9XCdVP+hvy/lTj32+xowQSEiS4GvgVEikisiPzPG1AM3AcuBHcBrxpjvPFlP1Tfp70u5k6d/XwPm9lillFJdM2BaFEoppbpGg0IppZRTGhRKKaWc0qBQSinllAaFUkoppzQolFJKOaVBoQYcEWkQkU0OS0eGl3c7EckUka0ikiYib9nrli4ipQ51PamNfX8uIi+12hZnH5raJiL/EZEiEbmwZ76N6k/0OQo14IhIhTEm2MXH9LE/ANWdY2QCacaYAodtpwC3GGOcTpQlIhHAHiDBGFNt33YTMMEYc719/WXgDWPM292ppxp4tEWhlJ39X/T3ishG+7/sR9u3B9knjlknIt+KyDz79p+KyOsi8h7wkYh4ichCEflORN4XkQ9FZL6InCYibzmc5wwRebMb9ZwqIp/bZ1pcJiJxxphiYDVwrkPRi4GlXT2PUk00KNRAFNDq0pPjbF8FxpjJwD+BW+zb/gB8aoyZCpwKPCIiQfbPZgJXGWPmYg0RngxMAH5u/wzgU2CMiMTY168GXuhKxUXED3gcuMgYMwV4Gfiz/eOlWOGAiCTa6/JFV86jlKOBPsy4GpiqjDGT2vis6V/6G7D+8AOcCVwgIk3B4Q8k2d+vMMYU2d/PBl63z1NySERWAhhjjL3/4HIReQErQK7sYt3HAOOAj615aPDGGkUUrAHhnhCRYKypLl/TOVOUK2hQKHW0GvtrAy3//xCsf8HvciwoItOBSsdNTo77AvAeUI0VJl3tzxBgizHme60/MMZUisjHwDyslsUNXTyHUkfRS09KtW858Cv7VJKIyIltlFsFXGTvq4gDTmn6wBhzAGuugLuAF7tRl+1AvIhMs9fFV0TGOXy+FLgVCDfGrOvGeZRqpkGhBqLWfRQPtVP+z4AN2CIi22jpE2jtv1iXgbYBTwNrgFKHz5cAOcaY7V2tuDGmBpgP/E1ENgPfcvT0l//Duiz2alfPoVRrenusUi4kIsHGmAoRiQLWArOMMYfsnz0FfGuMea6NfTNpdXusi+umt8eqLtEWhVKu9b6IbAK+BP7sEBIbgIlYdym1JR/4RETSXF0pEfkPMAurj0SpTtEWhVJKKae0RaGUUsopDQqllFJOaVAopZRySoNCKaWUUxoUSimlnNKgUEop5ZQGhVJKKac0KJRSSjmlQaGUUsopDQqllFJOaVAopZRySoNCKaWUUxoUSimlnNKgUEop5ZQGhVJKKac0KJRSSjmlQaGUUsopDQqllFJOaVAopZRySoNCKaWUUxoUSimlnNKgUEop5ZQGhVJKKac0KJRSSjmlQaGUUsopDQqllFJOaVAopZRySoNCKaWUUxoUSvUgEYkUkbdEpFJEskTk0nbK3yQi60WkRkRedFKuwmFpFJEqh/XL2jnHchG57zjb54nIIRHx6fAXVP2SBoVSPesfQC0QB1wG/FNExjkpfwC4H3je2UGNMcFNC5ANnO+wbUk7dXoRuEJEpNX2K4Alxpj6dvZX/ZwGherzRCRTRG4VkS32f6k/JyJxIrJMRMpF5GMRiegF9QwCLgL+aIypMMasAt7F+oN8XMaYN40xbwOF3Tz3EBH5r4jki0iGiPza4eO3gUjgew7lI4DzgMXdOa/qHzQoVH9xEXAGMBI4H1gG3AlEY/3Of932rp0nIu+LSEkby/tt7DYSaDDG7HbYthlw1qJwRV29gPfs54oHTgNuFpGzAIwxVcBrwJUOu/0Y2GmM2ezOuqm+QYNC9RdPGmMOG2P2A18Ca4wx3xpjaoC3gBNFJNn+L+pPReRzEVkgIoEA9s+MiJxhXxd7H8I9xzuZMeY8Y0x4G8t5bdQxGChtta0UCHHB93dmKhBjjLnPGFNrjNkHPANc7FDm38CPRCTAvn6lfZtSGhSq3zjs8L7qOOvB9vefG2PmGmNOBiqBex3KrQPm29/PAA65uI4VQGirbaFAuYvP09pQYIhjqwertRXXVMB+GSwfmCciKVjh8oqb66X6CA0KNZDdD1zgsJ4NxNvv8vkR8HpbO9r7PyraWJa1sdtuwEdEUh22nQB8183v0Z4cIKNVqyfEGPP9VuUWY7UkrgA+MsYcPuZIakDSoFADljGmFvBttXklcCpWf8JOJ/ue43inUavlnDb2qQTeBO4TkSARmQXMA15q6zwi4iMi/oA34C0i/l24XXUtUCYit4lIgIh4i8h4EZnaqtxi4HTgWvSyk3KgQaEGLBHxA2pabX4DeAhY46bT3ggEAHnAUuAGY0xzi8LeUrnTofxdWJfObgcut7+/qzMnNMY0YHXwTwIygALgWSCsVblMYDUQhHU3llIAiDHG03VQqkeISDLwqDFmvn39HsDfGHO742cisgD4JzAaSDPG3OOJ+irVW+gTl2qgOVlEPsW6lLMW+FPrAsaY3wOIyOgerptSvZK2KJRSSjmlfRRKKaWc0qBQSinlVL/so4iOjjbJycmeroZSSvUpGzZsKDDGxLTe3i+DIjk5mfXr13u6Gkop1aeISNbxtuulJ6WUUk5pUCillHKq1weFiKTY5xd4w9N1UUqpgcgjQSEiz4tInohsa7X9bBHZJSLpInI7gDFmnzHmZ56op1JKKc+1KF4EznbcICLeWNNEngOMBS4RkbE9Wan8I/mU1rSeLkAppQY2j9z1ZIz5wj62jqNpQLp9UhVEbE863wAAIABJREFU5FWskTW391S9nvz2Sd5Kf4tI/0iGhQ0jJSyl+TUlLIVBQYM4dlphpZTq33rT7bHxWOPmN8kFpotIFPAA1gxldxhjHjzeziJyHXAdQFJSUpcqcJHvdMbFhLAjuIy9FZksz1xOWW1Z8+eBPoEMDx/O8PDhjAgfQWpEKiMjRhLlH6UBopTqt3pTUBzvL60xxhQCv2hvZ2PMImARQFpaWpcGsIp540t833mHE2w2fIcPx2/kbBqHJ1AwJJiMmEZ2cZi9pfv4IvcL3k5/u3m/CL8IRkSMIDU8ldGRoxkVOYoR4SPw9W491YFSSvU9vSkocoFEh/UE4EBPViDqF9cTNHsWNf/P3p3HR1Xd/x9/nZlMtslCdkJYEvawhIRVBBGlCEVFq2hdqm3VutXaTVu7fFtba7Uure3PVq3iWsUdFfcV2XdIICSBsGff95lkMnN+f9xJGCKELJNMSD7Px+M+7sxdz63TvDnn3Hvuvn3Yc3Jo2LSJ5vdKCASSgUmRkQSMG0vguCU0jx5GYXwAOWH17K89yP7K/azMXYmt2QaAn/IjaVAS4yOM4BgfOZ7xkeMJDwhvtwxCCNHX9KWg2AqMUUolAfkYL36/pjcLEJCUREBS0gnLmisrady3n8acbOw5OTTm7KNyxQp0YyNWYJrFwuwxowkcN56A8RdQPSKS/THN5DQeI6cyh81Fm1l1cFXr8eKt8YyLHEdyZDLjI8eTHJksfR9CiD7NJ8OMK6VWAPOBaKAY+KPWerlSagnwGMa7Ap7VWt/fleNPnz5d9+QQHrq5mabDh7Fn59CYnYU9Owd7djbOsrLWbSzDhhE4YQKByck4Rg/l8GAT2RSRVZFFdkU2h6sPozH+tw8PCGd8hFHjGB9lhEdiWCJmk7nHrkEIIdpSSm3XWk//xvL++D6Kng6KU2kuLcWelYV9b5Yxz8rCcfRo63q/2FgjPCZMQI0fTV5CADmmErIqs8mqyGJ/5X4cLgcAgeZAxkaMPSE8xkSMIcAc0OvXJYQYGCQofMRZW4s9K4vGrCzse/diy8yk6eAhcLkAMEdFEThxAoETJ2JJHk/JiDByzCVkVWSTXZFNTkUOtY5aY1tlJik86XizVZQxD/UP9eUlCiH6CQmKPsTV0IA9Jwd75l7smZnYMzNpPHAAnE4AzDHRBE2cRODkSQROnEjlyGhydCFZ5UazVXZFNqW20tbjDQ0ZSnJUMhOiJjAhcgLJUclEBEb46vKEEGcoCYo+zmW305idjW33Hux7dmPbk0nTwYPg/u9jSUggcPJkgiZPJihlMvUj48i2HSG7wmi2yirPIq8ur/V48dZ4JkRNIDkymUnRk5gQNUHCQwjRLgmKM5Czrh773kzsezKx7c7Anp6Bo8B9x7DJRMDo0QSmTCZocgpBU1KwD4shpyaXveV7ySrPYm/FXo7UHB9ePiEkgYlRE5kUPak1PKwWq4+uTgjR10hQ9BPN5eXYdu/GnrEbW0YG9t27cVYb41Op4GCCJk0iaMoUglKnEJSSgi08kKzyLDLLM9lTtofM8kzy6/KN7VGMDB/JpOhJTI6eTEpMCmMixuBn6kt3TQsheosERT+ltcZx9Ci2jAxs6RnYdu3Cnp0Nzc0AWIYMISgtjaDUVILS0ggcN5ZKZy2ZZZnsKd9DZlkmu8t2U2GvAIy7rSZETWBy9GQmx0xmSswUBlsH+/IShRC9RIJiAHHZ7dj3ZmFLT8e2axe2XbtoLi4GQAUFGf0caWkET00jaMoUTOHhFNQXkFGaQUZpBrvLdpNVnkWTqwmA2OBYpsRMaZ0mRE2Q4UmE6IckKAY4R2Ehtp07adi1C9uOndizslrvsvIfPYrgtKkET59G0LRpWBISaHY1k1OZQ3ppOuml6WSUZrQ2WVlMFiZETSA1JpXUWGOKDor25eUJIbxAgkKcwNXQgG33HiM8dmzHtnMXrlrjeQ2/2FiCpk4leKoRHgHjxqHMZkobSskozWBX6S7SS9PJLMtsrXUMDx1OamwqU2OnkhaXRlJYkgxLIsQZRoJCtEu7XDTuz8W2YzsN23fQsGM7zQWFAJhCQgiamkbw9BkET59O0KSJKH9/mpxN7C3fS3ppOjuKd7CzZCeVjZUADAoYRGpsKtPjpjMtbhrjI8dLJ7kQfZwEheg0R0GBERrbttGwfRtNuQcAUAEBBKWmEjx9OsEzZhCUOgVTYCBaaw7XHGZnyc7W4DhaawxhEuQXRFpsGtPipjEtbhqToydLP4cQfYwEhei25ooKGrZvp2HrVmzbtht3V7lcKIuFwCkpWGfOJHjmTKODPCgIMF4vu71kO9uLtrO9ZDv7K/cD4G/yJyUmhRmDZzBj8AxSYlJkHCshfEyCQnids7a2NTgatmzFnplpjGFlsRCUkkLwzBlYZ51FUFoqpgAjBKobq9levJ1txdvYVrSNnMocXNqFv8nfaKoaPJ2Zg2eSEp2CxWzx8RUKMbBIUIge56yrw7ZjBw1btlC/eUtrcCh/f4KmTsV61iyCZ80iaPJklJ/RX1HTVMP2ou1sLd7K1qKt5FTkoNEE+QUxNXYqs+JncVb8WYyLHIdJmXx8hUL0bxIUotc5a2uN/o1Nm6nfvJnG7GwATMHBBM+YQfDss7DOnk3A2LGtd0hVN1azrWgbm4s2s7lwMwerDwLG62ZbQmP2kNkMCRnis+sSor+SoBA+11xZScPmLdRv2kjDxk00HTHGoTJHRWGdPduYzp6NJT6+dZ+ShhI2FW5ic+FmNhVsosRWAsCIsBGcFX8Wc4bMYWb8TBmzSggvkKAQfY6jsJD6jZuo37iR+o0bW98Q6J+UZITG3DkEz5yFOcQIAa01B6sPsrFgIxsKNrCteBu2Zht+Jj/SYtOYM2QOcxLmMC5inDzDIUQXSFCIPk1rTeP+/dRv2ED9xo00bNmKttnAYiE4NRXr3LlY584hMDkZZTL6KpqcTews2cn6gvWsz1/Pvsp9AEQFRjEnYQ7zhs5j9pDZhPmH+fLShDhjSFCIM4qrqQnbjp3Ur19H3dp1rf0b5qgoQubOwTr3HKxz5+AXcfwdG6UNpWwo2MD6/PWsL1hPTVMNZmUmNTaVeUPnMS9hHqMGjZLahhCnIEEhzmjNpaXUrV9P/dp11K9fj7OqCpQiMGUyIfPmETLvXAInTmitbTS7mtldtps1eWtYk7emtbaREJLAvKHzmD90PtMHT5eH/oTwIEEh+g3tdGLfu5e6NWuoX7MWW0YGaG3UNs45h5Bz52GdMwdz2PEmp6L6Itbmr2XNsTVsKtyE3Wkn2C+YOQlzOG/YecwbOo/wgHAfXpUQvidBIfqt5ooK6teto+7rNdStW4eruhrMZoKnTSNk/nxCzptPQFJS6/a2ZhtbCrewOm81q4+tpsxWhlmZmRo3lflD53Pe8PMYFjrMh1ckhG9IUIgBQTc3Y8vIoG7119StXk3jPqPJyX/ECELOO4+Q884jeNrU1gf+XNrFnrI9rD62mq+OfUVuVS4A4yPHs2D4AhaOWMjI8JHSryEGBAkKMSA58vOpXb2autVf07BpE9rhwBQeTsg55xB6/nlY583DHBLSuv2xmmN8eexLPj/yObtKdwGQGJbIwhELWTBiARMiJ0hoiH5LgkIMeK76euo2bKDuy6+oW70aZ2UlWCxYZ80idMH5hJx/Ppa4uNbtSxtK+fLol3x29DO2FW3DqZ0khCRwwYgLWDhiIZOiJ0loiH5FgqIDXtl8lO1HKgmwmAj0MxNgMRHgZyLAz2zMLcc/B1rMBFqMecv3k83lD0nfpJ1ObLt2UfvFl9R+8TmOI8Zw6IEpKYQuWEDowoUEjDzer1Fpr2T1sdV8euRTNhVsolk3kxCSwKLERSxOXMz4yPHy31qc8SQoOuCvH2bxQUYhjc1OGh0u7M1OHM7u/e/TEhpBnsFiMRNk8Vx+fF1Qy+Tvnlq28fgc7LEu2N+PAD8TJpP8keoqrTVNBw64Q+ML7BkZgPGK2NCFCwlbuJCA5OQTxqP66thXfHz4YzYXbKZZNzMibAQXjLiAxUmLGRsx1peXI0SXSVB0kculaXK6sDucNDa7WgOk0eGisdmJ3XF8nd3hxO65zOHE3rLccXy5vdmFvcmJrWV5sxNbk4tGh5MGhxOnq/P/TTwDxJj7EexeFhzgh9XfCJWQAPf3APdnfz+s/n5YA8yEBhrLrQHGMvMADR9HURG1n39B7Wef0bB1K7hcWIYONUJj0QUEpqS0Pq9RZa/i86Of8/Hhj9latBWXdjEmYgwXjbyIJUlLGGwd7OOrEaLjJCjOIE3NRhjZm5w0NLUEiTE1uAPG5nAvc7iXNTW758b3BoexrL7R2Ka+sdmYmpwdLkeQxUxIoB+hAX6EBPoREuCe3MtCAy3G50A/wgIthAYay8Ja5kF+BFnMZ3STTHNFBXVffknNp59Sv3ETOBz4DR5M6AULCVu8mKDU1NbQKLOV8dmRz/jg4Aekl6ajUMwcPJMLR17IwhELCfEPOc3ZhPAtCQoBGDUke7OTusZmGhqNuREgzdQ1Hg+UusZm6uzG8lr78e91jcb3WruDusZmTlf58TMpwoKM8AgPsrg/u+dBxrKWaVCQvzEPtrTu05dCxllTQ91XX1HzyafUr1uHbmrCLy6OsMWLCF20mKDUKa2hcbTmKB8c/IBVB1dxrPYYAeYAzh92PktHL2V2/GzMJrOPr0aIbzpjg0IpNRL4HRCutV7WkX0kKHqH1pqGJiNsamwOauzN1NgdrUFSY3PP7Q6q3Z+rbcZUYzP2aXK6Tnl8s0m5A8RCeLCFiGB/BrnnEcEWIqz+RAb7MyjYn0irPxFWY53F3PMvOHLW1Rmh8fEn1K9Zg3bXNMIWLSLswiUETp6MUgqtNRllGaw6sIqPD39MdWM1MUExXDTqIi4dfSkjw0f2eFmF6CifBIVS6lngIqBEaz3JY/li4J+AGXhGa/1gB471pgRF/2N3OKm2OahqOB4iVQ1NrcuqbE1UNjiobnBQ2dBElXve0E4TWmigH5FWIzyi3PNIawDRIcbn6JAAokKMeaS1+8HirK09Hhpr16IdDizDhxN+0YWEXXQRASONMGhyNrEmbw3vHniXtXlrcWonKTEpfGf0d1icuFiapoTP+Soo5gF1wIstQaGUMgP7gIVAHrAVuBojNB5oc4gbtNYl7v0kKEQru8PZGhqV9U1UNBiBUlnfRIXHVFbX2Pq5+RTtZIOCLUSHGEESFRJATEgAMaEeU0gAsWEBRFkDTtvB76ypofazz6n54H3qN20Gl4uACcmEX3gRYRdd2PqcRpmtjA8OfsDK/Ss5UH2AQHMgC0cs5DtjvsP0uOl9qslNDBw+a3pSSiUC73sExWzgXq31Ivf33wBorduGRNvjtBsUSqmbgZsBhg8fPu2I++1pQoDRTFZjb6aivonyukbK6owQKXfPW6byuiZKaxupbWz+xjFMCqLdoREbGkhc69z4bMwDibL6YzIpHCUl1H78MdXvf2DccqsUwbNmEX7xxYQuugBzSAhaa/aU7WFl7ko+OvQRdY46EsMSWTZ2GUtHLSUiMOIkVyNEz+hSUCilMjpw7FKt9YJ2jpHIiUGxDFistb7J/f06YJbW+o5T7B8F3I9RA3nmdIECUqMQ3WdrclJW10hJrZ3S2kZKaxspqW2kpMZYVlxjfC+vb6Tt/4UsZkVcWCDx4YHEhwcRHx5Ior2CxPR1hK/7HJWfhwoIIHTBAsIvvQTr2Wej/PywNdv49PCnvLnvTXaV7sJisrBwxEKWjV0mtQzRK04VFH6n2c8MLGnvuMB7nS3LSZadMq201uXArZ08hxDdEuRvZlhkMMMig9vdzuF0UVrbSHGNER7FNXYKq+0UVdsoqLaz61gVH++xuzvtJ8H0iYwfdZQL8ndwzhdfU/Phh9hCwimZNR/Xwm8zJPUcHpm7iCrHEd7OfZtVB1bx4aEPSQxL5LvjvsvS0UvljX2i152uRjFXa72u3QOcZhtvNT11RpdrFFuXQ8EOiEiEQYnGPCIRrNEg/5oTXeRyacrrmyistlFQZSe/ykZhlY3C8lrCdm0mec96UvMysWgnB8KG8OmIGaxPnE744GgSIsyokAwKXV9R1JiDvymARYnf5roJ15AclezrSxP9TFebnu4CXtNaH+vGiRM5MSj8MDqzFwD5GJ3Z12itM7t6jra6HBSf/RHSV0Bd8YnLLcHu8BhxPDxapxFgCep2mcXAVldSTv7b79L4/ntYcnNwmf04MHYqX4+axefBSVQ3uTAF5GOJ2IwlfCfK5CDQOZIxgYuZGXsuI2MGkRgVTFK0ldBAi68vR5yhuhoU/wCWAYeAFcAbWuuyTpx0BTAfiAaKgT9qrZcrpZYAj2E0bT2rtb6/E9dyWt3uo2hqgKqjUHkYqo5A5RGPz4ehqe7E7UPj24RHkjGPTAJrjNRGRKfYc3Koeustat5bhbOqCr+4OAIvXkrVud/maMAgckpL2FTyMQfsn9JkKsHVHIKjchaOqlno5jBiQgMYGW1lZEwIo2KsjIyxMiomhKERwQN2WBbRMV2+60kZPWjzgKuAS4B0jNBYqbWu7YGydluPdmZrDfVlx0Oj4pAxrzwMlYegpoATulws1m/WQiLdQTJoOPgF9Ew5xRlPNzVR+9Vqqt56k/p168Hlwnr2bAZdcQWhCxagLX5sKNjA//a+woaCdShMjAqeQ5TzW5RXxHKorJ7KBkfr8QL8TCRFWxkTF8qY2BBjigtlRFRwrzykKPo+r9we634G4lvAg8A4rXX7PX0+4tO7nhz247WRlvDwDJNmm8fGCsKGfLMW0hIowVFSGxEAOAoLqVq5kuo338JRUIA5MpLw71xKxJVX4j9iBMdqjvFK9iuszF1JvaOetNg0rptwHWlRczlSbiO3pI7ckjr2u+d5lcd/hxazYmR0COMGh5IcH0ZyfCgT4o2aidxpNbB0OyiUUpMxahXfBcqBFVrrx7xaSi/ps7fHam30f1QeOR4gnjWTuqITt/cPPd4P0hogHrURs7RFDzTa5aJ+/QaqXn+N2i+/AqeT4LPOIuK7VxK6YAH1NLEydyUvZ71Mfl0+CSEJXJt8LZeNuQyrxdp6nIamZiM4io3w2FdcS3ZhDQXV9tZtoqz+JMeHMWFIGBOHhDFxSDhJ0VZpvurHutpHMQYjHK4GnMCrGAFxsKcK6g19NihOp7VvxKMG4lkbcTYe31aZIHzoSWoi7nnQIB9cgOhNjpISqt9+m6rX3zBqGVFRDLpiGRHf/S6muFi+OvYVL+19iR0lOwi1hLJs3DKuHX8tcda4Ux6zqqGJrMJasotqyCqsIauwlpyi2tYxuYL9zUwcEsakhHBShoYzOWEQI6Ot8j6UfqKrQXEQoz/iVa317h4sn1edsUHRHpfLqHG0hodnk9YhaCg/cfugiBODw3MKSwDz6R6hEWcK7XRSv349lStepW71ajCZCD3/fCKuvYbgWbPILM/k+czn+ezIZ5iUiQuTLuSHk37IqEGjOnR8h9PF/uI6MguqySyoYXd+NXsLarA5jPG2QgL8mDgkjLThEaQNH0Ta8EHEhgb24BWLnuKNpqcRwBit9edKqSDAb0B2ZvdV9hqjGaslRDxrJNXHwOUxJIXJD8KHnbqTPTDcBxcgvKEpL4+qV1+l6o03cVZX4z9qFBHXXE34JZdSqCt5ce+LrNy/ErvTzvyh8/nhpB8yNW5qp8/T7HRxsKyejLxqMvKqSM+rZm9BdesbIRMGBblDI4LpIyKYMCRMOszPAN0KCqXUjzDGUYrUWo9yN0k92d7QHb40IIOiPc5mqMl3B8gRj45292SrOHH7oMhvNmdFJhnz0Hgwyf/h+zqX3U7Nhx9R+fLL2DMzMYWEMOjyy4j43veojwnh1ZxXWZG1gsrGSlJjUrlh0g2cO+xcTKrr/23tDieZBTXsPFrJzmNV7DpaRX6V0WkeZDGTOmwQM5IimZUUSdrwQQT7S622r+luUOwCZgKbtdZp7mW7tdaTvV5SL5Cg6CR79Un6RNzzqmOgPYb0NgcYneue4dESKoNGgEWaHPoSrTX29HQqXvofNZ98Ak4nIeefT+T116OmTuKd3Hd4IfMFCuoLGBMxhltSbmHhiIXdCgxPxTV2th2uZOvhCrYeriCrsAaXNl5oNSkhnFkjIzkrKYoZSZGEBEhw+Fp3g2Kz1nqWUmqn1jrN/XT1Dq11Sk8UtrskKLzI6YDqvOPB0do/ctiYn/Dwoft238iR7vAYeTxMIkdCoIxR5EuO4hIqV7xC1Wuv46ysJCA5mcjvX0/w4gv4JP8Lnt79NIeqDzEyfCQ3p9zM4sTFXn8TX63dwfYjlWw5VMGWQxWk51XhcGr8TIrUYYM4e3Q0c0ZFkTY8An8/qbn2tu4GxUNAFXA98BPgdmCv1vp33i6oN0hQ9JKWhw9bO9bbzOtLTtw+OModIknHQ6Tlu4yn1WtcdjvVq1ZR+eKLNO7PxRwTTeS11xJ25RV8Wb2VpzKeIrcql8SwRH6U8iOWJC3Bz9Qz/9q3NTnZcbSS9bllrD9Qzu68KlzaaKqamRTJvLExnDs2hlExVnmmoxd0NyhMwI3ABRijv36CMeR3n3yPqgRFH9FYdzw0Kg66Px90d7DnccIT7P6hEJl4YpNWS5CEJYC8Y9rrtNbUr99AxQsvUL92LSo4mIgrrmDQD65nTVMmT6Y/yb7KfQwPHc6tU25lSdKSHn/Xd7XNwaaD5azPLWPd/jIOltUDMDQiiPnjYjhvXCyzR0VJ/0YPOWPfmd0VEhRngOZGo2O9NUDa3PLrOj70BCbLN/tFPPtHpF+k2+z79lGxfDnV738AJhPhSy8m8sYbWO93mCd2PUFOZQ6JYYncNuU2Fict9lofxukcq2jg632lfL2vlPW5ZTQ0OfH3MzF7ZBTfSo5lQXIcQwbJoJze0tXnKC4Bhmqt/+3+vhmIca/+tdb6jZ4obHdJUJzhXE7jLq3W8Dh4Ykd7Y43HxqfoF2lp0pJ+kU5pysun4rnnqHrzTXRTE6ELFxJ5801sCC3m37v+TW5VLqMHjeaOtDs4f9j5vdoc1NjsZNvhSr7MLuGLrGIOlzcAMDkhnCWT41kyeTAjoqynOYpoT1eDYj1wVcsw4+67nxYAVuA5uT1W9DqtoaHC3YR18JtNW/WlJ27/jX4RjyCRsbROqbm8nIqXXqLylRW4amqwzjuHqFtvYU1ECf/Z9R8O1xxmYtREfpL2E84ecnav9x9orTlQWs/nWcV8tKeI9GNVAEwcEsaSyfFcODmexGgJjc7qalBs1VrP8Pj+eMsrS5VSm7TWZ/VIabtJgmIAa6w9XvuoOAgVB47XRNr2iwSEnXhXlucUOlhCBHDW1VH5ygoqnnsOZ2WlMa7UbTfzRWQRT6Y/SUF9AVNjp/LTqT/t0oN73pJX2cBHu4v4YHchu9yhMTkhnO+kJbA0dQjRITJKc0d0NShytdajT7HugNa6Y2MA9DIJCnFSLSP7ntCxfvD44IyeT69bgo0AiWoJj1EQNcqYD8AQcTU0UPna65Q/uxxnaRnBM2Yw6LZb+CjiKP/d/TSltlLmD53PT6f+lNERJ/2T0Wvyq2x8mFHIu+n57MmvwWxSnDs2hsumJvCt5DgCLXJjxKl0NSheBlZrrZ9us/wWYL7W+mqvl9QLJChEpzmbjaFOKg9B+YFv1kg8O9ctViM8okZB1GiP+WgIjvTdNfQCl91O1euvU/70MzSXlhI8fTqht/+It0NyWL7nWRqaG7hk1CXcnno7g62DfV1c9hfX8vbOfFbuyKeoxk5YoB8XTxnCVTOGMykhTG65baOrQRELvAM0Ajvci6cBAcClWuviU+3rSxIUwqtcTiNEyg8Y4VF+wAiQ8gNGk5bnk+tBEe7ax2iPEHHXRAJCfHYJ3uZqbKTq9Tco/+9/WwMj6Mc38bzfZl7NfhWTMnFN8jXcOOlGwgN8P3aY06XZcKCMt7bn8dGeIhqbXSTHh3H1zGF8Jy1BXh/r1t3nKM4HJrq/Zmqtv/Ry+bxKgkL0GqfDCIuW8CjbfzxEavJP3DY0/ngTVmuQjDbu1vLz90Xpu60lMMr++xTO0jKs886Bm6/hSdunvH/wfUL9Q7kl5RauHn81lj7y/pRqm4P30gt4betR9uTXYPU3c/m0oVw/ewSjY0N9XTyfkucohOhtTQ3uGkiuMXl+9hwWXpmMcbLaNmNFjXY/bNj3h7Jw2WxUvvwyZU8/g6u6mtDFi6m7/iL+Uf46Gwo2MCx0GD+b+jMWjljYp5p7dh2r4sWNh3k/vZAmp4s5o6O4fnYiC8bH4jcAR7uVoBCiL7FVQvlBKN9v1D7Kc92fD4Kj/vh2foFGLSTaIzyixhiB0gf7Q5w1NVQ8/zzlz7+AttsJv/RSDl8xi4ePPkduVS5TY6fyqxm/YmL0xNMfrBeV1zXy6tZjvLzpCAXVdhIGBXHj3CS+O2MY1gE0WKEEhRBnAq2htqhNgOQaTVpt+0OCo9yhMdodJGMgeoy7Kcu3t4M2l5dT/t+nqXzlFTCZGHTdtaw/P45/7V9Ohb2CpaOWcmfane2+bc8Xmp0uvsguYfnaQ2w5XMGgYAvXnzWCH8xJItJ6ZjYPdkZXO7M/AT4GPtJaZ/dg+bxKgkL0S06HMexJ+X4jODxDxHMAxpamrOgxx2sh0WOMIOnlW3sd+fmU/utfVL+3CnNYGKG33MhrE6t5cd8r+Jn8uGHSDXx/4vcJ8ut7w3BsP1LJk18f4LO9xQRZzFw1cxg/Omdkvx4ypKtBMRhY7J7GApsxguMLrXXdKXf0MQkKMeDYq6Es93gTVplHjaTZdnw7/xB3P4i79tESIFGjwT+454q3dy8ljzxC/YaNWIYPx3z79fy/8G18dvRzBlsH88vpv2TRiEV9qv+iRW5JLU+sPsi7u/JRCpZNG8aPzxvF0Iie+9/LV7zxKlQTMAv4NsYwHjbgU631Q94sqDdIUAhn/4ZAAAAgAElEQVTh5nJBbcHxGkjZfneQ5Bq3/Ho+qR4+DKLHQsw4j/k4sEZ5pShaa+rXraPkoYdo3J9LUFoaFT9aygP1b5Fdkc3MwTO5Z+Y9jIkY45XzeVteZQNPfX2Q17YeQ6NZNm0Ydy4YTXx4/6lheL2PQikVDSzSWr/c3cJ5mwSFEB3gsLlrHe7gKMuB0hwjTDxrIcFRRmDEjHXP3VNYQpeasbTTSdVbb1H6r/+Hs6yM0AuXsOXScTya9wL1jnquHn81t6XeRph/3xzQsbDaxhOrD/DqlmOYTHDj3CRuPXdUv3gWQzqzhRAd43IZtY2yfe7gyIHSfcbcVnl8O/8Qd81jvDs83PNBIzp0S6+zrp7y5c9Q8exzoBTWG6/j+SlVvHHoHSICI/j5tJ+zdNTSXhvSvLOOVTTwyKc5vLurgCirPz/91hiunjkcyxl8W60EhRCie1reaFiabUwtQVKaA3VFx7fzCzJqH60Bkgyx42FQ4kkDxJGfT/HfHqL200+xDB1K4x3X8IDlc9LLMkiNSeX3Z/2ecZHjeu86Oykjr4q/fpjFpoMVjIy28qvF41k0Ma5P9recjgSFEKLn2KrcoeEOkZbPnk+n+wUZwRGbbEwx7nn4UFCK+o0bKbr/fppyDxA8dw6Z187kweL/UdNUw7XJ13J76u1YLX1z6HCtNV/llPDAh9nsL6nj7FFR3HfpJEbFnFnDtvREH8UPtdbPdbtkPUCCQog+wl59PDRKsoypNBtqC49v4x/aGh46ajyVW0ooffkDXHY71uuu5oWZDbx+9F3iguP4zazfsGB4n3wNDmA8h7Fi6zEe+jibRoeLW+eP4vb5o86YEWt7IiiOaq2Hd7tkPUCCQog+zlYJJdlQmgXFe90hktnaB9JsN1GyN5bqfSYskcE0XHs29w4+wP66Y8wfNp/fzvwt8SHxPr6IUyuptXP/B1m8u6uApGgr9186ibNHR/u6WKfV1ecoMk61Chirte7xxz+VUsnAT4FojOc3njjdPhIUQpyBWp5KL9lrTMV7adixk6JPy2ms9sOaYGPtfM0/h4WBMnFn1HSuHnMF5vgUY8DFPtgnsHZ/Kb9/Zw9Hyhu4fOpQfndhcp9+wrurQVEMLAIq264CNmith5zmpM8CFwElWutJHssXA/8EzMAzWusHO3ABJuBprfWNp9tWgkKI/kPbbVQ8+Rilz65AKY3l3EgemVjO2kDFxMZG/lRWwTi/MIibBIMnH5+ix0IfGLHW7nDy/77cz1NfHyQ8yMKfL5nEhSl9szbU1aBYjvFu7HUnWfeK1vqa05x0HlAHvNgSFEopM7APWAjkAVuBqzFC44E2h7hBa12ilFoK3AM8rrV+pb1zggSFEP1RU14eRffdR/3XawicOJGDN83nz5WvUOOo5+bAYdxUVYOlJBucjcYOZn+j72PwZBicYszjJkGgb57PyC6q4e43MtidX82SyYP58yWT+twrWn1215NSKhF43yMoZgP3aq0Xub//BkBr3TYkTnasD7TWF55i3c3AzQDDhw+fduTIEa+UXwjRd2itqf34Y4ru/yvOykqs113Nk9MqWFXwKeMjx/OX2fcyzmWCot0nTg1lxw8SkegOjhSIdwdILzVdNTtd/HftQR77bD+hgX48fEUK54/vOwMj9qWgWAYs1lrf5P5+HTBLa33HKfafD1yG8Va9DK31v093TqlRCNG/OaurKX74YarffAv/ESPI/9nl/KHmZaobq7k55WZuSrkJi8nd7NTS91G0G4oy3NNu4/0gLYKj3aHREh5TjNfd9tC7QPYV13Lnip1kF9Vy3Vkj+O2SZIL8fX9nVFebnnZoraee5sDtbnOSoLgCY+gPz6CYqbX+SUcupCMkKIQYGOo3baLwt7/DUVRk1C5mVrEq7xOjdjHnL+0/qNdYC0V7jOAozICidONOrJb3o/uHGrWN+CnuKcUYwsTsnfdTNDY7efjjHJ5Zd4hRMVb+eVUakxJ8+9rYrgaFDdjf3nGB8PZuk/Vm01NHSVAIMXA46+opeeghql5/Hf+RI8n/2WX8ofIlqpuquSP1Dn4w8QeYTR3813pzk3HLbmG6OzzctQ9Hg7HeLxDiJkJ8KgxJNeaxyd3qNF+7v5Rfvp5OZUMTdy8ax01zR2Iy+eYOrq4GxYgOHNuptc5r5xiJnBgUfhid2QuAfIzO7Gu01pkdOFeHSFAIMfDUrVtP4e9/T3NpKdYfXMu/Uov4pOBLpsZO5S9z/8Kw0GFdO7DLaYy8W5h+4tRYY6w3Bxg1jyFpx6fosZ2qeVTWN3HP2xl8klnM2aOi+PuVqQwOD+xaebvBJ30USqkVwHyMZyCKgT9qrZcrpZYAj2Hc6fSs1vp+b55XgkKIgclZU0Pxg3+j+u23CRg3jv0/vZA/FT2HUzu5Z+Y9XDr6Uu+MweRyQeUhKNh5fCpMhyb3a3oswUZ/h2d4RI1ut89Da81rW4/xp1V7CbCY+NvlKSyaOLj7Ze0EGetJCDFg1H71FYW//z9ctbUE3nkzf07YxtaSbZw/7Hz+ePYfiQzsgfeNu1xGzaNgJxTugvwdRtNVS7OVf6jRXDUkDRKmGZN7nCtPB0rr+OmrO9mTX8M1s4bzfxdO6LWObgkKIcSA0lxeTuFvf0fd118TPHcO63+QxiOHlhPmH8Zf5v6FuQlze74QzmZjlN2CnVCww5gX7QZnk7E+ZDAMnQ5DZxjTkFTwt9LU7OLRT3N4as1BRsVY+dfVaUwc0vMd3d0KCqXUBK313jbL5mutV3uviN4jQSGEAKM5p+rVVyn+20OYgoJw/eY2fqPfJrcql2uTr+VnU39GoF8v9wU0N0HxHsjfDnlb4dgWoxkLQJmNzvLhZ8GwWWxxjuWOD0qoanBw96Jx3DA3CXMPdnR3Nyj2AC8BDwGB7vl0rfVsbxfUGyQohBCeGg8cIP+uu2nMyiLsqit55Vv+vHjgVUYPGs1D8x7y/etX68shf5sRGnlbIG87OOoBcIYmsM01lg+rhlMTlcL137mItKSe6bvoblBYgb8B04BQ4GXgb1prl7cL6g0SFEKItlxNTZT+4zEqnnuOgLFjKf71tfwm7z/UOeq4e/rdXDnuyr7zsiFnMxTvhqOb4dgm9NHNqNoCABq1H8XBY4gcPZOQxKnGMx6xE8Cv+8OBdDco/IH7McZnCgF+r7V+tdul6iESFEKIU6lbu5aCX9+Dq6EB690/4f6Yzawv3MCC4Qv409l/IjzAtw+9nZTWUJ2H7chWdm38DHPBDpLVEUKV+93mJj/jeY74KXD2ncYLorqgu0GRDrwL3AdEAU8BDq31si6VpodJUAgh2uMoKaHg17+mYeMmwpYu5YsrR/GPrCeICoziwXMeZPrgb/yt7FMKqmw8/XUu67ZtY5zrIEtjyzjbmkdIRSZc947xFHkXdDcopmutt7VZdp3W+qUulaaHSVAIIU5HO52UPfEkZf/+NwGjR2P70x386vA/yavL45aUW7gl5ZaOP9HtI2V1jSxfd4iXNh6hrrGZb42P4Z5vJzM6LrRLx+tuUJx0iA6t9dEulaaHSVAIITqqbt16Cu66C+1wEPnn/+Ox8C28d+A9psdN52/z/kZscKyvi3ha1Q0Ont9wmBc2Hub1W2YzOrZr7+rublDsBjTG2E6BQBKQo7We2KXS9DAJCiFEZzgKC8n/2c+xpacT+f3r2XJZMvdt+ytBfkH8de5fmZMwx9dF7JDGZicBfl2vBZ0qKDo0hq7WerLWOsU9HwPMBL7xMiMhhDgTWeLjGfHSi0Rcdx0VL7zI5HtfZ8VZ/yEyMJJbP7+Vx7Y/RrOr2dfFPK3uhER7ujTYutZ6BzDDy2URQgifUf7+DP7db0n4+6PYc3Jw3XAXzyf+H5ePuZzle5Zz4yc3UlRf5Oti+kSHgkIp9QuP6S6l1CtAaQ+XTQghel3YkiUkvvIymE0Ufv9GflE9iwfPeZDsimyuWHUFa/LW+LqIva6jNYpQjykA+AC4pKcKJYQQvhQ4fjxJb7xB4MSJ5P/8F8z84BCvLllBXHAcP/7ix/x9299xtLzgaACQQQGFEOIUXE1NFN37J6rffpvQby8m6r4/8uiex3kt5zVSYlJ4eN7DDAkZ4utiek1XX1y0CuNup5PSWi/1TvG8S4JCCOEtWmsqnn2OkkceIXDiRIb+59982bCTezfci1KK+86+jwUjFvi6mF7R1aA4t72Daq2/9kLZvE6CQgjhbbVffkX+XXfhFxHBsGeepiTaj7u/vpvM8kyuGncVd824iwBz98db8qWuBsXwvvpQXXskKIQQPcG2ew/HbrkFXC6GPfUkfpMm8I8d/+ClvS8xPnI8D897mMTwRF8Xs8u6+hzFOx4HeMvrpRJCiDNI0ORJJK54BVNYGEe+/wMaN27hVzN+xePnP05hfSFXvn8lqw6s8nUxve50QeE55u7IniyIEEKcCfxHjCDxlZfxT0wk7/bbqVu3nnOHncubF79JcmQyv133W+5Zew/VjdW+LqrXnC4o9Ck+CyHEgOUXHc3w557Ff+TI1rAYbB3M8kXLuX3K7Xx86GMue+8yNhRs8HVRveJ0QTFFKVWjlKoFUtyfa5RStUqpmt4ooBBC9EV+ERHfCAs/kx+3pd7Gy0texmqxcstnt3D/pvtpcDT4urjd0m5QaK3NWuswrXWo1trP/bnle1hvFVIIIfqik4UFwMToibx+0et8L/l7vJrzKstWLWNnyU4fl7brujTWkxBCCMOpwiLQL5Bfz/w1zy56Fpd28f2Pvs8jWx/B1mzzcYk7T4JCCCG6qW1Y1G/c2LpuxuAZvLX0LZaNXcYLe1/gsncvY1PhJh+WtvMkKIQQwgtawyIxkbyf3Il9377WdVaLlT/M/gPPLnoWs8nMjz79Eb9b9zvKbGU+LHHHSVAIIYSX+EVEMOypJzEFBXHs1ltpLj1xkO0Zg2fw5sVvctPkm/jw0IdcvPJi/rf3f31+gEEJCiGE8CJLfDxDn3wCZ2UVx267HVfDiXc8BfoF8tOpP+XtpW8zJWYKf9v6N65cdSVbCrf4qMSnJ0EhhBBeFjRxIgmPPop9717yf/UrtMv1jW2SwpN44ltP8Nh5j2FrtnHjpzdy19d39cmXI0lQCCFEDwg9/zzi7vk1dZ9/Qcmjj550G6UUC4Yv4J1L3uH2Kbez+thqLl55Mf/e9e8+9eyFBIUQQvSQiOuuY9DVV1Gx/Fkq33jjlNsF+gVyW+ptvHvpu8wfNp8n05/kopUXsXL/SpwuZy+W+OT6fFAopeYrpdYqpZ5USs33dXmEEKKjlFIM/t3vsM6ZQ9Gf/kz9pvZvi00ISeDhcx/mpW+/RLw1nj9s+ANXfXAVmws391KJT65Hg0Ip9axSqkQptafN8sVKqRylVK5S6p7THEYDdUAgkNdTZRVCiJ6g/PxIeOwf+CeOIO+nP6Pp8OHT7pMam8r/lvyPh+Y9RE1jDTd9ehN3fHEHu0t393yBT6JHX4WqlJqH8Uf+Ra31JPcyM7APWIjxh38rcDVgBh5oc4gbgDKttUspFQf8XWt97enOK++jEEL0NU3HjnH4yu9iDg8n8bVXMYeHd2i/Rmcj/9v7P57d8yw1TTXMip/FjZNu5Kz4s1BKnf4AndClFxd56cSJwPseQTEbuFdrvcj9/TcAWuu2IdH2OP7AK1rrZadYfzNwM8Dw4cOnHTlyxFuXIIQQXtGwbRtHfngD1hnTGfbf/6L8/Dq8b72jnjdy3uDFvS9SaitlWOgwLhl1CZeMvoTB1sFeKV9XX1zUExKAYx7f89zLTkopdZlS6ingJeDxU22ntf6v1nq61np6TEyM1worhBDeEjx9OvH3/pH6DRspfuDBTu1rtVj5waQf8NHlH/HXuX8l3hrP47se54I3L+CWz27ho0Mf0ehs7JFydzzOvOdkdaVTVmu01m8Db/dccYQQovcMuvxyGnMPUPHccwSMG0vElVd2av8AcwAXj7qYi0ddTF5tHu8eeJd3c9/lV2t+Rah/KP8875/MGDzDq2X2RVDkAcM8vg8FCnxQDiGE8InYu35JY24uRff9hYBRowieNq1LxxkaOpQfp/6Y26bcxpaiLbyb+y5jI8Z6ubS+aXraCoxRSiW5+x2uAt7zQTmEEMInlNlMwqOP4J+QQN5P7sRR0L1/K5uUibPiz+KBcx4gPKBjneSdOr7Xj+hBKbUC2AiMU0rlKaVu1Fo3A3cAnwBZwOta68yeLIcQQvQ15rAwhv7nP+imJo79+I5vjAnVl/T4XU++ILfHCiHOFHVr1nDsllsJXbSIhH/83eu3vHZGX7rrSQghhFvIvHnE3vVLaj/+mPKnnvJ1cU7KF53ZQgghPETecAP2nBxKH/snAWPGELpgga+LdAKpUQghhI8ppYj/858JnDyZ/Lt/hT0ry9dFOoEEhRBC9AGmwECGPv445vBwjt1yK46ivvNeCgkKIYToIyxxsQx78klc9fUcu/U2nHX1vi4SIEEhhBB9SuC4sSQ89hiN+/eT/4ufo5ubfV0kCQohhOhrQs6Zy+A//IH6NWspuv9+fP0Yg9z1JIQQfVDEd6/Ecewo5c8sx3/YcKJu+KHPyiJBIYQQfVTML35BU14+JQ89hCUhgbBFF/ikHBIUQgjRRymTiSEPPsDRoiIK7r4bU3AQIeec0+vlkD4KIYTow0yBgQx94j/4jx5F3u0/pvbLr3q/DL1+RiGEEJ3iFxHBiOeeI2D8ePLuvJOazz7r1fNLUAghxBnAHB7O8GeXEzRpEvk/+znlzz7Xa3dDSVAIIcQZwhwayrBnniF0wQJKHnqI/J/9vFceypOgEEKIM4g5xErCPx8j9u67qf3sMw5feSWNBw706DklKIQQ4gyjlCLqxhsY/txzOKurOXzFldR8/HGPnU+CQgghzlDWWTNJevstAsaOJf9nP6f4wb+hHQ6vn0eCQgghzmCWuDhGvPgCEddeS8Xzz1O/YYPXzyEP3AkhxBlO+fsz+P9+T/glSwlKSfH68aVGIYQQ/URPhARIUAghhDgNCQohhBDtkqAQQgjRLgkKIYQQ7ZKgEEII0S7l61fs9QSlVDWwv51NwoHqU6yLBsq8Xqie19419eVzdfVYXdmvo/t0ZLv2tpHfV985V3eO1dl9e+v31d767v6+RmitY76xVGvd7ybgv11dD2zzdfl74pr76rm6eqyu7NfRfTqy3Wl+Q/L76iPn6s6xOrtvb/2+2lvfU7+v/tr0tKqb689EvXlN3jxXV4/Vlf06uk9HtmtvG/l99Z1zdedYnd23t35fnTmXV/TLpqfuUEpt01pP93U5RP8kvy/Rk3rq99VfaxTd8V9fF0D0a/L7Ej2pR35fUqMQQgjRLqlRCCGEaJcEhRBCiHZJUAghhGiXBEUnKKWSlVJPKqXeVErd5uvyiP5FKXWpUupppdS7SqkLfF0e0b8opUYqpZYrpd7s7L4DJiiUUs8qpUqUUnvaLF+slMpRSuUqpe5p7xha6yyt9a3AlYDc4ihaeen39Y7W+kfAD4Dv9mBxxRnGS7+vg1rrG7t0/oFy15NSah5QB7yotZ7kXmYG9gELgTxgK3A1YAYeaHOIG7TWJUqppcA9wONa61d6q/yib/PW78u936PAy1rrHb1UfNHHefn39abWellnzj9gXoWqtV6jlEpss3gmkKu1PgiglHoVuERr/QBw0SmO8x7wnlLqA0CCQgDe+X0ppRTwIPCRhITw5K2/X101YJqeTiEBOObxPc+97KSUUvOVUv9SSj0FfNjThRNnvE79voCfAN8Climlbu3Jgol+obN/v6KUUk8CaUqp33TmRAOmRnEK6iTLTtkWp7VeDazuqcKIfqezv69/Af/queKIfqazv69yoEv/ABnoNYo8YJjH96FAgY/KIvof+X2JntRrv6+BHhRbgTFKqSSllD9wFfCej8sk+g/5fYme1Gu/rwETFEqpFcBGYJxSKk8pdaPWuhm4A/gEyAJe11pn+rKc4swkvy/Rk3z9+xowt8cKIYTomgFToxBCCNE1EhRCCCHaJUEhhBCiXRIUQggh2iVBIYQQol0SFEIIIdolQSEGHKWUUym1y2Nqd3jm3qKUOqyU2q2Umq6UWukuW65SqtqjrGefYt+blFIvtVkW5x6a2qKUek0pVaGUurR3rkb0J/IchRhwlFJ1WusQLx/Tz/0AVHeOcRiYrrUu81g2H7hLa93uaKBKqQhgPzBUa213L7sDmKy1vsX9/X/Am1rrd7pTTjHwSI1CCDf3v+j/pJTa4f6X/Xj3cqv7xTFblVI7lVKXuJf/QCn1hlJqFfCpUsqklPqPUipTKfW+UupDpdQypdQCpdRKj/MsVEq93Y1yzlBKfa2U2q6U+kgpFae1rgQ2ABd6bHoVsKKr5xGihQSFGIiC2jQ9eb5NrkxrPRV4ArjLvex3wJda6xnAecDDSimre91s4Pta6/OBy4BEYDJwk3sdwJdAslIqxv39h8BzXSm4UioA+CdwudZ6GvA/4D736hUY4YBSapi7LGu6ch4hPA30YcbFwGTTWqeeYl3Lv/S3Y/zhB7gAWKqUagmOQGC4+/NnWusK9+e5wBtaaxdQpJT6CkBrrd39B99TSj2HESDXd7HsycBE4HPjPUeYMUYRBWNAuH8ppUIwXqX6urssQnSLBIUQJ2p0z50c//+HwvgXfI7nhkqpWUC956J2jvscsAqwY4RJV/szFJChtT6n7Qqtdb1S6nPgEoyaxW1dPIcQJ5CmJyFO7xPgJ+5XlaKUSjvFduuAy919FXHA/JYVWusCjHcF/B54vhtl2QskKKVmusvir5Sa6LF+BXA3MEhrvbUb5xGilQSFGIja9lE8eJrt7wMsQIZSag/H+wTaegujGWgP8BSwGaj2WP8ycExrvberBddaNwLLgL8rpdKBncAsj00+xmgWe7Wr5xCiLbk9VggvUkqFaK3rlFJRwBZgjta6yL3ucWCn1nr5KfY9TJvbY71cNrk9VnSJ1CiE8K73lVK7gLXAfR4hsR1IwbhL6VRKgS+UUtO9XSil1GvAHIw+EiE6RWoUQggh2iU1CiGEEO2SoBBCCNEuCQohhBDtkqAQQgjRLgkKIYQQ7ZKgEEII0S4JCiGEEO2SoBBCCNEuCQohhBDtkqAQQgjRLgkKIYQQ7ZKgEEII0S4JCiGEEO2SoBBCCNEuCQohhBDtkqAQQgjRLgkKIYQQ7ZKgEEII0S4JCiGEEO2SoBBCCNEuCQohhBDtkqAQQgjRLgkKIYQQ7ZKgEEII0S4JCiGEEO2SoBBCCNEuCQohhBDtkqAQQgjRLgkKIXqRUuoOpdQ2pVSjUur5DmwfqZRaqZSqV0odUUpdc4rt6jwml1LK5vH92tOc4xOl1J9PsvwSpVSRUsqvwxco+iUJCiF6VwHwF+DZDm7/b6AJiAOuBZ5QSk1su5HWOqRlAo4CF3sse/k053geuE4ppdosvw54WWvd3MGyin5KgkKc8ZRSh5VSdyulMtz/8l6ulIpTSn2klKpVSn2ulIrwdTkBtNZva63fAcpPt61SygpcDvyf1rpOa70OeA/jD3inKKWGKKXeUkqVKqUOKaXu9Fj9DhAJnOOxfQRwEfBiZ88l+h8JCtFfXA4sBMYCFwMfAb8FojF+53eeetfOU0q9r5SqOsX0vpdOMxZwaq33eSxLB75RozhNWU3AKve+CcAC4GdKqUUAWmsb8DpwvcduVwLZWuv0rhdf9BcSFKK/+H9a62KtdT6wFtistd6ptW4EVgJpSqlE97+ov1RKfa2UelQpFQzgXqeVUgvd35W7T+Dek51Ma32R1nrQKaaLvHRNIUB1m2XVQGgnjzMDiNFa/1lr3aS1Pgg8DVzlsc0LwBVKqSD39+vdy4SQoBD9RrHHZ9tJvoe4P3+ttT5fa30uUA/8yWO7rcAy9+ezgKIeKmtH1QFhbZaFAbWdPM4IYIhnrQejthXXsoG7WasUuEQpNRIjXF7pcslFvyJBIQayvwBLPb4fBRLcd/lcAbxxqh3d/R91p5g+8lL59gF+SqkxHsumAJmdPM4x4FCbWk+o1npJm+1exKhJXAd8qrUu/saRxIAkQSEGLK11E+DfZvFXwHkY/QPZ7ez7bc87jdpM3z7VfkopP6VUIGAGzEqpwFPdfqq1rgfeBv6slLIqpeYAlwAvdepCYQtQo5T6tVIqSCllVkpNUkrNaLPdi8C3gB8hzU7CgwSFGLCUUgFAY5vFbwIPApt76LS/x2gKuwf4nvvz7z3K9JFS6rce298OBAElwArgNq11p2oUWmsnRgd/KnAIKAOeAcLbbHcY2ABYMe6uEgIApbX2dRmE6BVKqUTgEa31Mvf3e4FArfU9nuuUUo8CTwDjgela63t9UV4h+gp54lIMNOcqpb7EaPrZAvyh7QZa618CKKXG93LZhOiTpEYhhBCiXdJHIYQQol0SFEIIIdolQSGEEKJd/bIzOzo6WicmJvq6GEIIcUbZvn17mdY6pu3yfhkUiYmJbNu2zdfFEEKIM4pS6sjJlkvTkxBCiHZJUAghhGiXBIUQQoh2SVB4cGmXr4sghBB9Tr/szO6qh7c+zLr8dUyOnkxKTAqTYyYzNmIsFpPF10UTQgifkaDwMCFqAnl1eWwo2MCqg6sACDAHMCFqAinRKUyJncKUmCnEBsf6uKRCCNF7+uVYT9OnT9fduT1Wa01BfQG7S3eTUZZBRmkGWeVZNLmaABhiHcKU2CmkxaaRFpvGmEFjMJvM3iq+EEL4hFJqu9Z6+jeWS1Ac15SXh7JYsMTFfXOds4nsimzSS9PZVbKLXSW7KLGVABDsF0xKTEprcEyJmUKwJbjb1yGEEL1JgqIDCu75DdXvvINfXBxBKZMJTEkhKGUKQZMmYrJaT9hWa01hfSE7S3ays2Qn6aXp7Kvch0u7MCszyZHJTI2bytTYqaTFpREZGOmtyxNCiB4hQdEB9uxsGrZsxZaRgS0jA8fRo8YKk4mA0bTMGxkAACAASURBVKMJmjKFoNQpBE2Zgv/IkSjTiTeN1TXVkV6azvbi7ewo2cHu0t2tzVVJ4UlMjZ3KtLhpTIubxpCQId2+TiGE8CYJii5orqzEvns3tvQMbOnp2DIycNXUAGAKDSUoJcUIj7RUglJSMIef8GZJmpxNZJZnGsFRvINdJbuoddQCEG+NZ2qcOzhip5EUnoRSqttlFkKIrpKg8ALtctF0+Ai2XbuM4EhPp3HfPnAZz1/4jxpFUFoqwWlpBKWl4Z904h9/p8tJblUu24u3t07l9nIAIgMjT6hxjI0YKx3kQoheJUHRQ5x19dj37Ma2a9f/Z+++46uu7j+Ov0723mSQwd4riy3DgeC2FSo4a221tdX2Z11VW23VVm0dHdbRarFqteKkCA6GyiYhCXtDCNl73Zt17z2/P743AwgBbm5yMz7Px+M+kvud57bXvPmeiTkzk7qsHdiqqgBwDw7G1x4avkmJ+E6YgJuvb8u5WmtyanLIKMogvSid7UXbyavNAyDAM4DEyERSolJIjUplXPg4PN1lPIcQoutIUHQT46kjm7qMDMxZWdRlZNJ49Kix08MDn7Fj8UtOxjclGb/kZDzCw086v9BUSHpROhlFGWwv2s7RKuNcH3cfJg2YZARHdCoTB0zE2927uz+eEKIPk6BwIUtFhVFdlZGJOSOD+l270I1GI7fXoEH4pqTgl5KMb3IyXoMHn1RdVV5f3hIa6UXpHCg/gEbj6ebJhIgJpEankhqVKl1yhRCdJkHRg9gaG6nfvYe6jO2YMzKpy8jAWlkJgHtEBH7JyfilpuCbkoLP6NEo99a2iqqGKrKKs0gvSie9MJ195fuwaisebh5GcESlMiVmCpMGTMLXw/dMRRBCiNNIUPRgWmsajx7FvH07ddu3Y05Lpyk/HwC3gAB8k5LwS03Fb3IqvuPHo7y8Ws41NZnILM4krTCN9MJ09pTtwaqtLU8ck6MnMzVmqlRVCSHOSoKil2kqKMCcvh3z9nTqtm+n4dBhAJS3N76JifhNnozf5Mn4TpqIm49Py3m1jbVkFGeQXphOWmEae8v3YtM2vN29SYxMZFrMNKZGT2Vs+FjpVSWEOIkERS9nqajAnJ5OXXo6prQ0GvbtB61Rnp74TJqI3+TJ+E+dim9i4knBUdNYw/ai7Wwt2MrWwq0cqjgEQKBnIKnRqUyNmcr0mOkyjkMIIUHR11irqzHbq6nMaWnU790LVmtLcPhPmYrflCn4Jk46KTjK6spIK0xjS8EWthZsJbc2F4BIv0imx0xn+sDpTIuZRrhv+JluLYTooyQo+jhrbS11GRmYtm7FvHWbERw2G8rLy6iqmjYV/2nT8J0wAeXZOh4jtyaXLQVb2Jy/ma2FW6lqMMaAjAodxfSBRnCkRKVI+4YQ/YAERT9jrakxnji2bMW0bWtrVZWfH36pKfhPm47/9Gl4jxrVMmeV1WZlX/k+NudvZnPBZjKLM7HYLPi4+5ASncIFAy9gRuwMhgRJNZUQfZEERT9nqajAvC0N89YtmLZsbRkE6B4Sgt+0afhPn47/zBl4xcW1nGNuMpNelM6m/E1szNtIdnU2YKzHMTN2JjNjZzI1eioBXgGu+EhCCCeToBAnaSoqwrxlC6bNWzBt2YKlsBAAz/h4/GfMMIJj2lTcQ0JazsmrzWNj3kY25m1ka+FWTE0mPJQHSVFJzIqdxazYWQwLGSZPG0L0UhIU4oy01jQeO4Zp4yZMmzZh3rYNm8kESuEzfjz+M2cQMHMmvpMmtYzhaLI2kVWSxYa8DWzI28DBioOA8bQxK84IjcnRk2W0uBC9iASFOGe6qYm6XbsxbTKCo27HDrBacfPzw2/qVPwvmEnABRfgNWhQyzmFpkLW561nfe56thRsoc5Sh5ebF1NipjA3bi6z42YTExDjwk8lhDibXhsUSqmhwCNAsNZ64bmcI0HhXNaaGkxbthjBsWEjTSdOAPZqqpkzCJg1C7+p03APMFYBbLQ2kl6Uzvrc9XyT+w0naozjR4WOYk78HObGzWVcxDjclNsZ7ymE6H4uCQql1BvAlUCx1np8m+0LgD8D7sA/tdZPn8O1PpCg6Bkajx+ndsMGTBs2Ytq6FW02g6cnfsnJBMy6AP9Zs/EeOQKlFFprjlUd45vcb/gm9xsyizOxaRsRvhHMiZvD3Pi5TIuZho+Hz9lvLIToUq4KitlALfDv5qBQSrkDB4F5QC6QBizBCI0/nHKJH2iti+3nSVD0QLqxEXNmFqYN66n9dj0NBw4A4BEZif+sCwiYPQf/GdNxDwwEjEkNv839lm9yv2FD3gZMTSZ8PXyZOXAmFyVcxOy42QR7B3d0SyFEF3FZ1ZNSajCwok1QTAce11rPt7//FYDW+tSQOPU6HQaFUuoO4A6AhISElOPHjzul/OL8NBUVt4SGadMmbDU14OFhPG3MmUPAnNl4DTN6RjVZm0grTGPtibWsy1lHcV0x7sqd1KhULky4kIsTLibaP9rVH0mIfqMnBcVCYIHW+of29zcDU7XWPzvD+eHAUxhPIP88W6CAPFH0FLqpibqsLGq/XU/tN98Yy8YCnrGxBMyZTcDcufhNmYKbjw82bWNv2V7W5qxlbc5ajlQdAWBCxAQuGXQJ8xLmER8U78qPI0Sf15OCYhEw/5SgmKK1vttZ95Sg6Jma8vNbQsO0eTO6vh7l44P/9OkEXDiXgLlz8YyMBOBY1THW5Kzhq+NfsbdsLwCjw0Yzb9A85g2ax5DgIa78KEL0ST0pKByqejofEhQ9n62hAfO2bdSu+5qar9dhyS8AwGf8eAIunEvghRfiPWYMSinyavNYfXw1Xx3/ih0lOwAYHjKcSwdfyvzB8xkaPNSVH0WIPqMnBYUHRmP2xUAeRmP2DVrrPc66pwRF76K1puHgQWrXfU3tunXU7dwJWuMRE0PghRcScNFF+E+ZjPLyotBUyJqcNXyZ/SWZxZloNKNCR7FgyALmD55PfKBUTwnhKFf1enoXmAtEAEXAY1rr15VSlwMvYvR0ekNr/ZQz7ytB0btZysqo/fobatatxbRhI7q+HreAAAJmzybg4osImD0b98BAis3FfJn9JZ9nf97ypDE+fHxLaEhDuBDnp9cOuHOEBEXfYauvx7RpMzVr11C77musZWXg6Yn/1KkEXnIxARddhGdkJPm1+XyZ/SWrslext2wvCkVKVAqXD72cSwddKl1uhTgHEhSi19NWK3U7dlCzZg01q1fTdDwHlMI3MZHAefMInHcJXvHx5FTnsPLYSj47+hnZ1dl4uHkwK3YWVwy9gjlxc2RwnxBnIEEh+hStNY2HD1OzejXVX31Fw959AHiPHk3gJZcQeOk8vIYPZ1/FPlYeXcmqY6soqSshwDOAeYPmcdWwq0iJSpFpRIRoQ4LiHGSXmqi3WIkM9CHUz1Omy+5FGnNzqflqNTVffUVdZiZojdfQoQTOv5Sg+fPxGDGc9OJ0VhxZwVfHv8JsMRPtH81VQ6/i6mFXMzh4sKs/ghAuJ0FxDn75/g4+zDDWkPZ0VwwI8GZAoDcDAn2IDPJu897+sr/38XR39kcQndBUXEztmjVUf/El5m3bwGbDc1ACQZfOJ3D+fPSoIXx94muWH13O5vzN2LSNSQMmcfWwq1kwZAFBXkGu/ghCuIQExTnYX1jN4eJaSmoaKK5poLi6geKaekpqGiipaaDc3Eh7/3MFenswINCbiABvIgK9jJ/2V3iA8X6A/Xd/bw8nfEJxrizl5dSsXk3N519g2roVrFY84+MJWjCfwAULqB4cwcpjK1l+ZDmHKw/j5ebFRQkX8Z0R32FazDSpmhL9igSFEzRZbZSbGimubqC0toGS2oaWEGn+vay2gdLaRqrqmtq9hq+nO+EBXoQHeBPh79USJuEB3kQEeBHm70W4v/F7qL8Xnu7yh8pZLBUVxpPGqs8xbdlihMagBIIWXEbgZQs4Gm7h06PLWXlsJVUNVQz0H8i1I67lO8O/I11tRb8gQdHNGi02ykwNlNY0UlrbYH8Zv5ebGlvel9nfW2zt//8Q7OtJuL8X4fYQCfP3Pul9uL+38TPAi1A/L7w8JFjOhaWiwnjSWLUK05atYLPhNWwYQQsW4LPgEjZ4HOOjQx+xpWALCsWM2BlcN+I65sbPxdPN09XFF6JLSFD0YDabpqquiTJTI+UmIzzKTI2U1TZSZmr+3QiU5tcZcoVAHw/C/U8OlbAArzbb7OFi3ybtK8YAv5ovv6R65SrM6emgNd5jxhB8xeWY5iSzvHYTHx/+mGJzMeE+4Vwz/BquG3EdCUEJri66EE4lQdGHtAZLA2W1RnCUmhqpaA4aUyPl9n1l9u1nemLx83K3h4dR/dX8e3OoRAS0PrGE+3vj69W3g6WpqJiaLz6n6rPPqN+xEwDflBQCL7+MvZNCWFb8Bd/mfotVW5keM53rR13PnPg5eLhJ25Po/RwKCqXUznO4donW+uLOFM7ZHA6Kg19C1QkYmARR48DD2/mFcwGtNdX1FvvTSGu4lLV5QmkOl/JaI3QaLbZ2r9VusAR4EeHf2tYS3iZgenNVWGNODtUrV1K1YgWNh4+Auzv+M2fAvNl8nlDB+zmfUmQuItIvkutGXMd1I64jyj/K1cUWwmGOBsUe4PKOrgss11pP7HwRncfhoPjwR7DrfeN3N0+IGgsxiUZwDEyEyHHg4eXcwvZAWmtMjdaWKrDyNsFSZm9vaa0mM342WtsPliAfj5N6f7X+9GZAc48we4+xntojrHnSwuoVK6ha8RmWggKUry8BF1/E8RlDeNt/JxsLN+Om3JgTN4clY5YwNXqqjMMRvY6jQXGB1nrDWS581mO6m8NBoTVU5kB+JhRkGT/zs6C+0tjv7gWRY43QGJhkvAaM6Rfh0RGtNTUNFkprmhvqG1sa7MtqGyg1NVJaY4RLaW0Dleb2e4T5ebnbuxV7tRmr4nPS2JVIe6i46klF22zUbd9O1fL/Uf3FF9iqq3EfEIHbvDl8PU7z78ZvqWisZHjIcG4YcwNXDr0SXw9fl5RViPPlaFDcB/xXa32iKwvnbE5to9AaKrLbhIf91VBl7Hf3NqqpmoNjYCIMGA3u0jPmTJq7GZfUnNwbrPV98+9G4LQn1M/THhw+RAZ6ExnU/NObqCAfouyDJLuysd7W0EDtN99QtXw5td98C01NeA4bSv6skSyNO0aa9QjB3sEsHLGQxaMXSxdb0eM5GhQvAAuBY8C7wDKtdWmXldJJurwxW2soP3ryU0fBDmioNvZ7+ED0BCM4mquuBowCt77dENwVmqy2luBoHghp/Ky3D4hsfd9kPf27HOLnSXSQD5FBPkQHeRMd5ENUsA/RQT5EB/sQE+zrlOlarJWVVH/+OVWffEpdVha4uWGZPJ6vJyjeDNuLxcONeYPmccvYW5gwYEKn7iVEV3G415My/guaDSwGrgF2YITGx1rrmi4oa6e5pNeTzXZKeGQa4dFYa+z39IPoiW2ePJIgfDi49d7G3p5Ea02luYmimnqKqhsorq6nqLqewmrjfVF1PYVV9ZTUNpw2ut7bw42YYCM4Bgb7Gj9DfBkY0vzTlyCfc39CbDh2jKpPPqXq00+xFBaiggLJnhLHm4Nz2R1hJjEyiVvG3cJF8RfhLv94ED2IU7rHKqXcgUuAp4FRWms/5xXReXpM91ibFcoOtz515GdC4U5oMhv7vQIgZtLJ4RE2FKQRtMtYrDZKahsoqDKCo7DKCJP8yjoKq+opqDIC5tTuxAHeHi3BEWsPj7hQ4xUb4kdkoDdubif//6atVkxbtlD18SfUfPUVuqGBukGRfDGuif+NqCYkKoFbxt7CNcOvkXYM0SN0OiiUUhMwniquB8qAd7XWLzq1lE7SY4KiPVYLlB60h0eGESCFu8DaYOz3CW7T0yoJYpMhOF7CoxtZbZrS2gbyKuvIr6yjoLKevMq6lvf5lXVUnNIg7+muiAk2giM+1I+EcD/iQn1JCPNjULg/QdZ6alauovKjj6jfuRPt4c6+cYF8PLqanFGhfG/MYpaMXkK4b7iLPrUQjrdRjMAIhyWAFXgPIyCOdlVBnaFHB0V7rE1QvM+otsrLMAKkaC/Y7H+M/MLbPHUkGz+DYlxb5n7O3Gghr6KO3Mo68iqMEMmtqCOvwsyJijpKahpOOj7A24P4MD8GhfkxvrGECTu+JWLzWtxqqqgJ9eHzcY1sSPTigpTvcNv422Ttb+ESjgbFUYz2iPe01ru6sHxO1euCoj2WBijaY3/qsFddFe8DbTX2B8acHh7+8q/RnsLcaOFEeR0nys3ktHkdLzNxoryORqsNT6uF6QW7WZCzjaTig9iAHUPdWJ3khvu0i/hh0o+YEjtOxmOIbuOMqqdBwAit9WqllC/gIY3Z3azRbFRTNYdHXgaUHWrdH5LQGhqxyUb7h4+sFd3TWG2awup6jpeaOFZm4niZmfLDx4jbsobUfesJr6uhLECxNhHWjBiNT+B3GBc+gWGRAQwbEMDwyAAGhfvJzMLC6ToVFEqpHwF3AGFa62H2KqlXetrUHc36bFC0p77K6F2Vl9Ha26ryeOv+8BGtwTEwyei26+XvuvKKDlkamzjx2ZeUv/8ffLMy0EDGMMWa8XFs9LmCpvrhgNEmMiTCnxGRgQyPDGBEVAAjowIZEuEvASIc1tmgyAKmAFu11kn2bbu01j2yQ3i/Cor2mMpaG8vzMoy2j5oCY59yM0aTNw8OHJhsDBj09HFtmcVpGnNzKXnvP5R+8D5elSaKgyFrRiz64h9Q757E4WITh4pryCk3t3T59XJ3Y1hkAKOjAxkdHcio6EBGRwcRFeQtVVjirDobFFu11lOVUpla6ySllAeQ0dPmeGrW74OiPdUFrU8czSFiLjP2Nc9r1bbNI3KMjC7vIXRTE+Vffs6Rf71E4O7jNLnD/sQwBt32YyZfdCONVs2RkloOFtWwv7CGA/ZXQVV9yzVC/TwZOzCIMdFBjIsNYtzAYIZG+OMhTx+ijc4GxbNAJXALcDdwF7BXa/2IswvqDBIU50BrqMpt003XHiD1baYmaR5d3jKvlYwud7XaA/vIfO1pAlan4dOgKYjzI2jJ9STdcDfuviePxagyN7G/sJr9hTXsK6hmX4Hxe4N9ZmAfTzdGRQcxfqARHBPjghkVHShVV/1YZ4PCDbgduBRjxtgvgH/qHrqYhQSFg5qnJmn75CGjy3uk+uoK1r/+FG4ff8HAYgtmP3fcrprHuB/9Eq+4uDOeZ7HaOFJiYk9+FXvyq1t+1tRbAGOU+vhYIzQS40OYFBfCoHA/qbbqJ2ThIuGY8x1dHpNojC6X8OgWDZYGVn/yIlXv/peJe+tQgJ41maF33INvSso5/YHXWpNTbmZHbhU7TlSy40Qlu/OrqG8ynjxC/TxJSgglOSGE5EGhJMaH4OfVM6eEF53j6DiKa4A4rfVL9vdbgQH23Q9qrZd1RWE7S4Kii7U3urxoN1jsdeLeQfbwSGwdZR46RMKjCzVaG/l00+vkvflPZqabCagHRg4l5rYfEXTF5bh5nd9U+BarjYNFtWSdqCQzp4KMnAqOlJgAcHdTjBsYRMqgUCYPDiN1UCiRQdIZoi9wNCg2Aoubpxm39366GPAH/iXdY0ULaxOU7G996sjPNMLDap8m3DsYYiZKeHQxc5OZ93a8yaH3/smFW8zElwKhIUTcdBOhS5bgERbm8LUrzY1k5lSSfryc9OwKduRWtjx1DAr3Y9qQcKYPC2fa0HCigyU4eiNHgyJNaz25zfu/aa1/Zv99i9Z6WpeUtpMkKHoISyOU7LNPw57V+uTREh72J4+YSUZ4xEyC8GHSYO4E1Y3VvLl7KRmfLWXelgaSjtjAy5OQa64h7NZb8R4+vNP3aLLa2JNfTXp2OVuPlbP1aBnV9raOweF+TBtqhMaM4eFEBkpw9AaOBsVhrXW73yil1BGt9TAnltFpJCh6sLbzWjU/fRTtaZ0U0dPf3tvKHhzRE43eVtJV1yFldWX8Y9c/WL/xXS5LszF3l8a9yUrAnDmE3XYbflOnOK2h2mrT7C+sZsvRcrYcLTspOEZHBzJzeASzRkQwdUg4vl7yj4GeyNGgeAf4Wmv9j1O23wnM1VovcXpJnUCCopexNtnbPOwLQBXsOLnBvHkVwZhJRvVVzCRj/XIZJHjOcmtyeSnrJb7dvYKrd3hyWYbCs9qMz7hxhP3gNoLmz0d5OLeB2mrT7M2vZsPhUjYcLiEtu4JGiw0vDzemDA5j9sgI5oyMZGRUgPSq6iEcDYpI4BOgAciwb04BvIFrtdZFXVDWTpOg6ANsVig7Yg+OLCM4Cna0jvNQ7sagwJaqq0kQNR68A1xb7h5uf/l+Xtj+AmnHN3LNoWCuTXfHK68Ez4EDCfvBDwhZeB1uPl0TwHWNVrZll7P+YAnfHirhYJHR7To6yIcLR0dyyZhIZg6P6NLla0XHOjuO4iJgnP3tHq31WieXz6kkKPqo5vXLC3dCwU4jQAp2gKnEfoCCiBGtwRE90XgC8Q11Zal7pE35m3hh+wscKNvHtUVxLErzwmP3IdzDwgi79VZCb1iCe2Bgl5ahoKqObw+WsG5/CesPlWBqtOLj6cYFwyO4eEwUF4+OlN5U3UzGUYi+SWuoKbSHRpvwqM5rPSYk4fRG84BI15W5h7BpG58d/Yy/ZP6FQlMhSxomsXCzwro5HbeAAEJvvJGwW27GI7zrp69vsFjZerScNfuKWL2vmLzKOgCSEkK4bHw0l42PIT6sRy6o2adIUIj+xVR6cntHwQ5j1HmzgOjWNo9oe7tHSEK/XEmw3lLP2/ve5h87/0GjrZGf+lzGJetrqPtqDcrbm5BFiwj/4e14RkV1S3m01hwoqmH13iI+31PI7rxqAMbHBnH5hBiumBDDoHCZAbkrSFAIUV8FhbtPDpCSA62LQfmEGD2uWqqtJhlVWf2ku26JuYS/ZP6FTw5/QrhPOPdH3kDil8eoXv4/lJsbwQuvI+JHP8Jz4MBuLdeJcjOrdhewclchWScqASM0rp40kCsmDiQ2RNYbdxZHG7O/AD4HVmmt93dh+Toqwxjg50AEsEZr/fLZzpGgEOesqc5YdrZwh73qasfJ3XU9fI2ZdZvbO6InGe89++4fp92lu3l629PsKNnB2PCx/CrudqI+2kjlxx8DEPLd7xJxx4/wjI3t9rLlVphZtauQFTvz2ZFrdGyYMiSMhSlxXDEhBn9vmVqkMxwNimhggf01EtiKERxrtNa153DTN4ArgWKt9fg22xcAfwbcMSYXfPocruUG/ENrffvZjpWgEJ3SPEVJc6N588+GNj2uIkYaTx8tr4l9ailarTUrj63k+e3PU2wu5uphV3PPwBuwvfUBlR98CNgD4847uv0Jo9nxMhP/25HPhxl5HCs14eflzmXjY1iUGsfUIWHS5dYBzlgK1Q2YClyGMY1HHfCl1vrZDs6ZDdQC/24OCqWUO3AQmAfkAmnAEozQ+MMpl/iB1rpYKXU18BDwN631f85WVgkK4XQtPa522V87jWqs6tzWYwIHnhIeE3r9NCXmJjP/2PUPlu5Zio+7D3cl3sXC4Aupev0NKpd9gAZCrvsuEXfeiWdMjEvKqLUmI6eCZem5rNhZQG2DhYQwP76XGsf3JsfLqPDz4PQ2CqVUBDBfa/3OWY4bDKxoExTTgce11vPt738FoLU+NSTau9ZnWusrzrDvDozlWklISEg5fvx4e4cJ4Vzmcnto2AOkYKfxNNLc7uEVYIzvaAmP8RDZ+6qusquyeTrtaTbmbWRE6AgenfooE2wxlL76KpUffoQCQhYvJuLOO/CIiHBZOc2NFr7YU8iy9Fw2HSnDw02xYHw0N08bxBR5yjgrlzVmtxMUC4EFWusf2t/fDExtnkOqnfPnAt/FGOS3s3km247IE4VwqaZ6Y46rwl3GU0dziDTWGPuVu9FI3hIg442qqx7eZVdrzdoTa3lm2zMUmAq4etjV/F/K/xFc0Ujpyy9T+dHHKC8vwm6+mfDbf4B7cLBLy3u0pJZ3tuawLP0E1fUWRkcHcsv0wVybNFCmST+DnhQUizCeRNoGxRSt9d3OuqcEhehxbDaoPN4aGkX2AKk60XqMf+TpVVfhw3tcr6u21VG+7r7ck3wPi0YuwnI8h9K//o3qlStxCwwk/PbbCbv5Jtz8XduVta7RyvIdeSzddJx9BdUE+XiwZEoCt8wYLD2mTtGTgsLhqqdzJUEheg1zuT007MFRtAuK94Otydjv4WtMVdK20TxqLHh37ajpc3G06ii/3/p7thZsZVz4OB6b/hhjwsdQv38/JX/+C7Xr1uEeHk7EXT8hdNEi1HmuieFsWmvSj1ewdGM2q3YXoJRRLfWTOcMYH+vap5+eoivaKG7TWv/rHI4bzMlB4YHRmH0xkIfRmH2D1nqPQwVphwSF6NUsjVB6wAiPot2tva7qK1uPCRtqr7qa2BoiQQO7fcCg1ppVx1bxbNqzVDRUcNOYm/hp4k/x8/SjLiuL4ueex5yWhmdCApG/+DmBCxagekDjfm6FmX9vPs67W3OoabAwa0QEP71weL/vLdUVQZGjtU44yzHvAnMxxkAUAY9prV9XSl0OvIjR0+kNrfVTDhXiDCQoRJ+jtTEtSdsnj8JdJ4829w01AiOqTdVVN03RXtVQxYsZL/LBwQ+I8Y/h0WmPMjtuNlprTN9+S/Fzz9Nw8CA+EyYQef99+E+Z0uVlOhfV9U28veU4b2w4RmltI8kJIdw1dzgXjY7Eza3/BYaj4yh2nmkXMFJr7e2k8jmVBIXoNxpqjAGCbds+iva0Lkvr7gUDRrcGR9R4o/G8iyZKzCjK4Hebf8eRqiPMHzyfh6Y8RIRvBNpqpWr5/yj585+xFBYSMHcukfffh/ewnrGkTX2TlWXpJ3j126PkVtQxKiqQX1wygvnjovtVYDgaFEXAfKDi1F3AJq21a0banIUEhejXrBYoYx8JQgAAIABJREFUO9xabdUcIi2z7ALBCSd32Y2eACGDnFJ11WRt4o3db/Daztfwdvfmvsn38Z3h30Epha2+nvK33qLs1dew1dURsmghA372M5d2qW3LYrWxYmcBf117iCMlJsYNDOLeeSO5aHRkv6iScjQoXsdYG3tDO/v+o7W+wbnFdA4JCiHaUVPUGhxFu412j7LDgP1vgHdwa3jE2Ns+Box2uOoquyqbxzc/zvai7UyNmcpj0x8jPjAeAEtFBaUv/Z2K997DzcuL8B//mLBbb8HNu2dUUlhtmk+z8nhx9SFyys0kJ4Rw3/xRzBjWMwKtq8ikgEKI0zWajaVpC3fY2z92GlVXLasL2quumue5ipl4XgtE2bSNDw5+wPPbn8dqs3JP8j3cMPoG3O1dfhuOHaP4j3+idu1aPOPiiHzgfgLnzesx/3pvstpYlp7LX9YcorC6nguGR/DggtFMiOubvaQkKIQQ56Z5dcHCNvNcFe4Ec5n9AGWM72iZot0eIh3MdVVoKuR3m3/H+rz1JA5I5Lczf8vQ4KEt+02bNlH0hz/QcOgwflOnEvXwr/AZNaqLP+i5q2+y8s7WHF5ad5hyUyPXJg7kl5eO6nNrZDha9ZShtU4+y4XPekx3k6AQwsm0hur8NqsL2qdpbztgMCiudU3z5mna23TZ1Vqz4ugKnt72NPWWeu5KvItbx92Kh5sxSlpbLFT897+U/uWvWGtqCPneIgb8/Od4hPacFQqr65t45esjvL7hGBq4Y9ZQfnrhcHy9etagSEc5GhR1wKGOrgsEn62bbHeToBCimzTPddUyy+4OKD1ES7uHX/jJ65pHT6TUJ5Ant/2eNTlrGB8+nidmPsHw0OEtl7RWVlLyt5eoePdd3AMCGPB/vyBk0SKUe8/5Y5xfWcezn+/nk6x8YkN8+c1VY7l0bFSPqTJzlKNBMegcrm3VWuee/bDuI0EhhAs11Nq77O6E/Cyj/aPtaHPvIHT0BL4IHcDva/dTa2vkp4k/5fvjb2tpuwCoP3iQoieexJyWhs/YsUT/5tf4Jia66EO1b+vRMh5bvof9hTXMGTmAx68ex5CI3rv6nrRRCCFcx9IAxXtbq60KdkDRbspsjTwVEcZX/n4kak+eCp9OQvxM++qCo9Bu7lR/tpLiZ57BUlJidKe9994eVR1lsdp4c/NxXvjqII0WG3fM7r3VURIUQoiexWqBskPovEw+y17F76t2YNE27i2v4PqaWpSHr9FFd2AS1tCxlH6+n/IPVhjVUb+8l5CFC3vEdCDNiqvr+cOq/XycmcegcD+euW4i04b2rsWsJCiEED1aoamQxzc9xsb8TcwIHMpvvYcSXXzAqL5qMgFQbwqiKCsC84l6fEfGE/3og/hMvqjb57jqyKYjpTz04S5yys3cPG0QD142moBeskRrp4JCKTVWa733lG1ztdZfO6+IziNBIUTvpLVm2cFl/Cn9T3goDx6Z9ghXDF5gNJDnZ0J+Bjp3O1WbD1Gc4Yu10Y2wcRYGXDEBt8FTIDYFYpPB37UD48yNFv74xQGWbspmYLAvf1w4kRnDe/5gvc4GxW7gLeBZwMf+M1VrPd3ZBXUGCQohercT1Sd4eMPDZJVkcdmQy3hk6iMEe7cZ5GZtwnp4G8Uv/IXKr3fiGexGTEop/pH2Oa5CBxuhETcZYlONbrse3T/qOz27nPs/2MmxUhM3Tk3gV5eP6dFPF50NCn/gGSAFCATeAZ7RWtucXVBnkKAQovez2Cy8sfsNXs56mXDfcH5/we+ZEnP6rLOmLVsp+M1vaMrJIWTBLCKvGI57+S7I227MuAvGCPPoiRCXag+PFCNMuqHKqq7RynNfHuD1jceIDfHluUWTmNpD2y46GxRewFPAPCAAeFRr/Z7TS+kkEhRC9B27S3fz0PqHyKnO4fvjv8/diXfjecr8U7a6Okr++jfKly7FIzyc6Md+Q+AllxiDBHPTIS/d+Jmf2To9iV+EERot4ZHcpQtCpWeX88tlO8gpN3P7zCHcN38UPp49q2dUZ4NiB/Ap8AQQDrwKNGmtFzq7oM4gQSFE32JuMvPH9D/ywcEPGBM2hqdnP33SFCDN6nbvoeDRR2nYv5/ABQuI/s2v8QgLaz3AajG66eamGcGRu80+MSKAgsixEGevsoqbAhEjwYk9q0wNFv6wah9vb8lhZFQAf16cxJiYIKddv7M6GxSpWuv0U7bdrLV+y4lldBoJCiH6prU5a3ls02PUW+p5YMoDLByx8LTR0LqpibLX36DkpZdwDwoi+vHHCJo378wXNZdDXob9qcMeIM2rCfoEG20ccZMh3t7e4RvS6c/x9YFi7v9gJ1XmJh68bDS3zRjcI9a96GxQtDtFh9Y6xwllczoJCiH6rmJzMY9seIQtBVu4OOFiHp/+OCE+p//xrj9wkPxfPUTD3n0EXX0V0Y88gnvwOcz6arNB+RE4sc0eHGnGU0hzk+yA0RA/BeKnQvw0CB/mUFtHWW0DD364k9X7ipk1IoLnFk0iMsjnvK/jTJ0Nil0Yk7cojF5PQ4ADWutxzi6oM0hQCNG32bSNt/a+xYsZLxLmE8Yzs54hNfq0v2/opiZKX3mV0ldewSMigpgnnyRg1gXnf8OGGqNx/ESaUV11YivUVxn7/CIgYZoRHAnTjVHlHl7ndFmtNW9vzeGpz/bi5+XBM9dNZN7YqPMvn5M4dcCdUioZuFNrfaczCudsEhRC9A97yvbwwDcPkFuby48n/pg7Jt5x0nxRzep27yH/oQdpPHyEkMXXE/XAA7j5dWKKcJsNSg/CiS2QsxVyNkPFMWOfh4/Rq6o5OOKnnLW66nBxDT9/L4s9+dXcMDWBRy4fg78LutE6fWR2T5xevJkEhRD9h6nJxJNbnmTF0RWkRqXy9KynifI//V/ltoYGSl78M+VLl+KVkMDAZ5/Bd9Ik5xWkpsgeHPZX4U6wWWhpJE+wB0fCdAiJP+30RouN5746wGvfHiU2xJdnF07s9hX1Olv1dG+bt25AMhCutZ7vvCI6jwSFEP3P8iPLeXLLk3i7e/PkzCeZEz+n3eNMW7eR/6uHsBQVE3HnnUTc9ROURxf8673RZFRXNT9xnNgGjTXGvqA4GGQPjUEzIGJUS++qtoP0bpk+iAcXjO62p4vOBsVjbd5agGzgQ611vdNK6EQSFEL0T8eqjvHAtw+wv3w/N425iXtT7j1tzAWAtaaGoiefpOrT5fgmJTHwj3/EKy62awtnsxrTr+dsgZxNcHwz1BYa+3xDW582Bs2kLmI8z351mKWbsokL9eWPCyd1ywSDMimgEKJfaLA28Hz68/xn/38YFz6OP87+I/FBp1f1AFR99hmFjz0OShHz28cJuvzy7iuo1ka7xvHN9uDYBOVHjX1egTBoOjlByTy5J4LVldHcNH0I984bSYjfuTWUO8LRhYv+R8tSVafTWl/tnOI5lwSFEGLN8TX8etOvsWkbj09/nAVDFrR7XGNuLvn33U9dVhbB3/0u0Y88jJu/ixYfqik0AiN7PWRvMBrMgXo3fzY2jWSX+1iGplzC/HkL8PZx/nrdjgZF+5V8dlrrb5xQNqeToBBCAOTX5nP/t/ezs2Qni0Yu4oHJD+DjcfpYBW2xUPLSS5S98ipegwYx8Lk/4TuuB/T+ryk0AiN7PQ1H1uNdeQSABjypCB5L6IgZeA+ZZgwIDO581ZmjQZHQUwfVdUSCQgjRrMnWxF8z/8q/dv+LEaEj+NOcP7U7/QfYG7ofeABLeTlR999P6M039ax1sE2l7NnyBUe2r2Zg7W4mqGN4K/sSs0GxxrxVcx6EKMdCztGgaOkCq5T6UGt9nUN372YSFEKIU63PXc8jGx6h3lrPr6f9mquGXdXucZaKCgoefoTadesIvPRSYp56EvfArpss0FG786p4Z+MhDu3czHh9kHlBOSSpQ3jd/D4eMeMduqajQZGptU469feeToJCCNGeIlMRD61/iPSidK4Zdg0PT30YP8/T6/q11pS/8S+Kn38ez9hYYl94vmdURbWjwtTIe2kneHvLcfIq63jj+6lcNNqx0d3OeKLosQPsTiVBIYQ4E4vNwis7XuG1na8xJHgIz815juGhw9s91pyRSd6992ItLyfq4YcJuf57Pasqqg2L1cbXB0q4cHQk7g5OMOhoUFgBE8YcT76AuXkXoLXWPWd+3DYkKIQQZ7M5fzO/Wv8rTE0mHp76MNcOv7bdELBUVJB//wOYNmwg6Morifnt467rFdXFzhQUHU60rrV211oHaa0DtdYe9t+b3/fIkBBCiHMxfeB0Prj6AyYNmMRvNv2Ghzc8jLl5UaM2PEJDiX/tVQb8/B6qV67k2PXX03D0mAtK7DrOW5FDCCF6mQjfCF6d9yp3Jd7FymMruX7F9RwoP3DaccrNjYif/ISEf/4Da1k52YsWUf3VVy4osWtIUAgh+jV3N3d+Mukn/PPSf2JqMnHDZzfw/oH3aa9a3n/GDIZ89CFew4aRd/c9FL/wItpmc0Gpu5cEhRBCAJOjJ7PsqmWkRqfyxJYnuP/b+6lpnsSvDc+YGAa9/RYhixZR9uqr5N71U6w1px/Xl0hQCCGEXbhvOC9f8jK/SP4Fq4+vZtH/FrGrZNdpx7l5eRH9u98S9ZtfU7thA9nXL6bhWN9tt+jxQaGUmquUWq+UekUpNdfV5RFC9G1uyo3bJ9zO0gVL0Vpzy6pbWLp7KTZ9chWTUoqwG24g4fXXsVZUkP2966ldv95Fpe5aXRoUSqk3lFLFSqndp2xfoJQ6oJQ6rJR66CyX0UAtxhKsuV1VViGEaCsxMpH3r3qfufFzeW77c/x0zU8pqys77Tj/qVMYvGwZnrGxnLjzx5S9/ka77Ru9WZdOM66Umo3xR/7fWuvx9m3uwEFgHsYf/jRgCeAO/OGUS/wAKNVa25RSUcDzWusbz3ZfGUchhHAWrTXvH3ifZ9OeJcg7iKcueIoZA2ecdpzNbCb/4Ueo+fxzgq+5mugnnsDNq+umBO8KDo2j6Cyt9bdA+SmbpwCHtdZHtdaNwHvANVrrXVrrK095FWvd8rxXAXh3ZXmFEOJUSimuH309/7niPwR5BXHnV3fybNqzNFgbTjrOzc+P2BeeJ+Keu6n6dDk5378NS/mpf/56J1e0UcQCJ9q8z7Vva5dS6rtKqVeBt4C/dXDcHUqpdKVUeklJidMKK4QQAKPCRvHele+xeNRi3tr7Fks+W3LamAulFAPuuovYF56nfs8esr93PQ2HD7uoxM7jiqBobxKSjhZH+khrfafW+nqt9dcdHPea1jpVa506YMAAZ5RTCCFO4uvhyyPTHuGli1+ivK6cxSsW83LWyzRZm046Luiyyxj01r+xNdSTvXgJtes3uKjEzuGKoMgF2q5LGAfku6AcQgjhkNlxs/nkmk+4dPCl/H3H31ny2RL2l+8/6RjfiRMZ8v77eMbFceLOOyl/5x0XlbbzXBEUacAIpdQQpZQXsBhY7oJyCCGEw0J8Qnhm9jO8eOGLlNaVsmTFEv6e9feTni48Y2IY/M7bBMyZQ9ETT1L41O/RVqsLS+2Yru4e+y6wGRillMpVSt2utbYAPwO+APYB72ut93RlOYQQoqtcnHAxn177KQuGLODlHS+z+LPF7C5tHRHg5u9P3N/+Stitt1Lx1lvk/eL/sNXXu7DE569Lu8e6inSPFUK4wrqcdTyx5QlK6kq4dvi1/Dz550T4RrTsL3/zTYqefgbfxETi/v4SHqGhLizt6VzSPVYIIfqTCxMuZPm1y7lt/G2sOLqCKz++kn/t/heN1kYAwm69ldgXXqB+zx6O33gTTYWFLi7xuZGgEEIIJwrwCuDelHv5+OqPSYlK4fntz/OdT7/Dupx1aK0JWjCfhNf/iaWoiOM33Ehjdrari3xWEhRCCNEFBgcP5qWLX+KVS17Bw82De9bdww+//CF7SvfgN3kyCW++ia2ujuybbqb+wOlrYPQkEhRCCNGFZsbO5IOrP+ChKQ9xqOIQiz9bzAPfPEBpQhCD3nkb5eHB8ZtvwZyZ6eqinpEEhRBCdDFPN09uHHMjK7+7kjsm3sHXuV9z1SdX8UT+G3i++izuoSHk/OB2ajdudHVR2yW9noQQopuVmEt4Y/cbLDu4DIvNwsLwS1j08l708VwGPv8cQfPmuaRcZ+r1JEEhhBAu0jYwvE1N/GF5AAOyq4j/+0sEzJnT7eWR7rFCCNHDDPAbwINTHmTVd1dxTfKNPPzdeo4OsHHs7p9y5JsVri5eCwkKIYRwsQF+A3hg8gN8csMXHHl0CSUBNiruuZ8/vHMnRyqPuLp4UvUkhBA9TfHRPeTedCsNDWZ+c7M7ExLncefEOxkVNqpL7ytVT0II0UtEDh3HuLffJ9QziKc/9GXPgQ0s/N9Cbv/idtbkrMFq696JBSUohBCiB/IeOpRBr72Gv8nK31ZEct+on5BTk8Mv1v2Cyz+6nL9m/pVjVce6pSxS9SSEED2YadMmcu78Mb4TJjDw1Zf5tnwbyw4uY0vBFmzaxvjw8Vw57EouG3IZYT5hnbqXdI8VQoheqvrzL8j75S/xTUok4dVXcfP3p9hczKpjq1hxdAX7y/fjrtyZGTuTnyf/nJGhIx26z5mCwqPTn0AIIUSXClowH7SNvPvuJ+eOO4l/9VUiAyK5ddyt3DruVg5VHGLF0RV8dvQzvN29nX5/eaIQQoheovrzz8n75X34TppE/Csv4x4UdNJ+m7bhphxvepZeT0II0csFLVhA7HPPUbdrF8dvupmmoqKT9ncmJDoiQSGEEL1I0IL5JLz6Ck25uWQvWULDka4fkCdBIYQQvYz/jBkMevstdGMT2TfciDmja6col6AQQoheyGfsWAa/+x88QkLIue02atau7bJ7SVAIIUQv5RUfz6B3/4P3yJHk/uxuKv77fpfcR4JCCCF6MY+wMAa9uRT/WRdQ+Nhj1Kxb5/x7OP2KQgghupWbnx/xf/sbFe+/T8Ds2U6/vgSFEEL0AcrTk7Abb+ySa0vVkxBCiA5JUAghhOiQBIUQQogOSVAIIYTokASFEEKIDvXJ2WOVUlXAoQ4OCQaqzrAvAih1eqG6XkefqSffy9FrOXLeuZ5zLsd1dIx8v3rOvTpzrfM9t7u+Xx3t7+z3a5DWesBpW7XWfe4FvObofiDd1eXvis/cU+/l6LUcOe9czzmX487yHZLvVw+5V2eudb7ndtf3q6P9XfX96qtVT//r5P7eqDs/kzPv5ei1HDnvXM85l+M6Oka+Xz3nXp251vme213fr/O5l1P0yaqnzlBKpet2Fu4Qwhnk+yW6Uld9v/rqE0VnvObqAog+Tb5foit1yfdLniiEEEJ0SJ4ohBBCdEiCQgghRIckKIQQQnRIgkIIIUSHJCjOg1LqWqXUP5RSnyqlLnV1eUTfopQaqpR6XSn1gavLIvoGpZS/UupN+98thxer6DdBoZR6QylVrJTafcr2BUqpA0qpw0qphzq6htb6E631j4DvA9d3YXFFL+Ok79dRrfXtXVtS0dud53ftu8AH9r9bVzt6z34TFMBSYEHbDUopd+Al4DJgLLBEKTVWKTVBKbXilFdkm1MftZ8nRLOlOO/7JURHlnKO3zUgDjhhP8zq6A37zVKoWutvlVKDT9k8BTistT4KoJR6D7hGa/0H4MpTr6GUUsDTwCqtdUbXllj0Js74fglxLs7nuwbkYoRFFp14MOhPTxTtiaU1bcH4HzW2g+PvBi4BFiqlftyVBRN9wnl9v5RS4UqpV4AkpdSvurpwok8503ftI+A6pdTLdGJ+qH7zRHEGqp1tZxyqrrX+C/CXriuO6GPO9/tVBsg/QIQj2v2uaa1NwG2dvXh/f6LIBeLbvI8D8l1UFtH3yPdLdJcu/a7196BIA0YopYYopbyAxcByF5dJ9B3y/RLdpUu/a/0mKJRS7wKbgVFKqVyl1O1aawvwM+ALYB/wvtZ6jyvLKXon+X6J7uKK75rMHiuEEKJD/eaJQgghhGMkKIQQQnRIgkIIIUSHJCiEEEJ0SIJCCCFEhyQohBBCdEiCQvQ7SimrUiqrzavD6b+7i1IqWym1SymVqpT62F62w0qpqjZlnXGGc3+olHrrlG1R9umoPZVS/1VKlSulru2eTyP6EhlHIfodpVSt1jrAydf0sA966sw1soFUrXVpm21zgfu01h3ONquUCgUOAXFa63r7tp8BE7TWd9rfv42xNsEnnSmn6H/kiUIIO/u/6H+rlMqw/8t+tH27v32xmDSlVKZS6hr79u8rpZYppf4HfKmUclNK/V0ptce+xsRKpdRCpdTFSqmP29xnnlLqo06Uc7JS6hul1Hal1CqlVJTWugLYBFzR5tDFwLuO3keIZhIUoj/yPaXqqe1qhaVa62TgZeA++7ZHgLVa68nAhcAflVL+9n3TgVu11hdhrCY2GJgA/NC+D2AtMEYpNcD+/jbgX44UXCnlDfwZuE5rnQK8DTxh3/0uRjiglIq3l+VbR+4jRFv9fZpx0T/Vaa0Tz7Cv+V/62zH+8ANcClytlGoODh8gwf77V1rrcvvvFwDLtNY2oFAptQ6MuZ7t7Qc3KaX+hREgtzhY9jHAOGC1sY4W7hgzh4IxCdxflFIBGEv1vm8vixCdIkEhxMka7D+ttP73oTD+BX+g7YFKqamAqe2mDq77L4yFY+oxwsTR9gwF7NRazzp1h9bapJRajbGy2WLgJw7eQ4iTSNWTEGf3BXC3fSlclFJJZzhuA8ZqYm5KqShgbvMOrXU+xvoAj2KseeyovUCsUmqKvSxeSqlxbfa/C9wPhGit0zpxHyFaSFCI/ujUNoqnz3L8E4AnsFMptZvWNoFTfYhRDbQbeBXYClS12f8OcEJrvdfRgmutG4CFwPNKqR1AJjC1zSGfY1SLvefoPYQ4lXSPFcKJlFIBWutapVQ4sA2YqbUutO/7G5CptX79DOdmc0r3WCeXTbrHCofIE4UQzrVCKZUFrAeeaBMS24GJGL2UzqQEWKOUSnV2oZRS/wVmYrSRCHFe5IlCCCFEh+SJQgghRIckKIQQQnRIgkIIIUSHJCiEEEJ0SIJCCCFEhyQohBBCdEiCQgghRIckKIQQQnRIgkIIIUSHJCiEEEJ0SIJCCCFEhyQohBBCdEiCQgghRIckKIQQQnRIgkIIIUSHJCiEEEJ0SIJCCCFEhyQohBBCdEiCQgghRIckKIQQQnRIgkIIIUSHJCiEEEJ0SIJCCCFEhyQohBBCdEiCQgghRIckKIQQQnRIgkIIIUSHJCiE6EJKqZ8ppdKVUg1KqaXt7A9TSn2slDIppY4rpW7o4Frnc2xtm5dNKVXX5v2NHZz3hVLqd+1sv0YpVaiU8jiHjy36GAkKIbpWPvAk8MYZ9r8ENAJRwI3Ay0qpcZ09Vmsd0PwCcoCr2mx7p4PyLgVuVkqpU7bfDLyjtbZ0cK7ooyQoRK+jlMpWSt2vlNpp/9f160qpKKXUKqVUjVJqtVIq1NXlBNBaf6S1/gQoO3WfUsofuA74tda6Vmu9AViO8UfZ4WPPhVJqoFLqQ6VUiVLqmFLqHvuuT4AwYFabY0OBK4F/O3Iv0ftJUIje6jpgHjASuApYBTwMRGB8r+8586nnTym1QilVeYbXCgcvOxKwaq0Pttm2A2jvKeF8ju2QUsoN+J/9/FjgYuAXSqn5Wus64H3gljanfA/Yr7Xecb73En2DBIXorf6qtS7SWucB64GtWutMrXUD8DGQpJQabP8X81ql1DdKqeeUUn4A9n1aKTXP/l7Z6/0fb+9mWusrtdYhZ3hd6eBnCACqTtlWBQR28tizmQwM0Fr/TmvdqLU+CvwDWGzf/yawSCnla39/i32b6KckKERvVdTm97p23gfYf/9Ga32R1noOYAJ+2+a4NGCh/fdpQGEXlfVMaoGgU7YFATWdPPZsBgED2z4VYTyNRQHYq7VKgGuUUkMxguU/DtxH9BESFKI/eRK4us37HCDW3pNnEbDsTCfa2z9qz/Ba5WB5DgIeSqkRbbZNAvZ08tizOQEcO+WpKFBrfXmbY/6N8SRxM/Cl1rqo3SuJfkGCQvQbWutGwOuUzeuACzHaAPZ3cO5lbXsSnfK67EznKaU8lFI+gDvgrpTyae5iqrU2AR8Bv1NK+SulZgLXAG+1c/9zPvYcbAOqlVIPKqV8lVLuSqnxSqnJbY75N3AJ8COk2qnfk6AQ/YZSyhtoOGXzB8DTwNYuuu2jGFVhDwE32X9/tM3+uwBfoBh4F/iJ1nqPvbyrlFIPn8ux50NrbcXoAJAIHANKgX8CwW2OyQY2Af4YvatEP6a01q4ugxBdQik1GPiT1nqh/f3jgI/W+qG2+5RSzwEvA6OBVK31464orxA9lYyyFH3dHKXUWoyqn23Ab049QGv9SwCl1OhuLpsQvYI8UQghhOiQtFEIIYTokASFEEKIDklQCCGE6FCfbMyOiIjQgwcPdnUxhBCiV9m+fXup1nrAqdv7ZFAMHjyY9PR0VxdDCCF6FaXU8fa2S9WTEEKIDklQCCGE6JAEhRBCiA5JUAghhOhQn2zMdtTbe99mT9kekiKTSIpMYljIMNyUZKkQon+ToGijurGazfmbWXHUWNky0CuQxAGJJEclkxSZxPiI8Xi7e7u4lEII0b365FxPqamp2tHusVprcmtyySjOILM4k8ziTI5WHQXA082T8RHjSY5MJiUqhcTIRAK9HFmJUggheh6l1Hatdepp2yUoWjXm5uHm7YXHgJPHm1TWV7aExvbi7ewt3YtFW3BTbowKHUVKVAqpUakkRyUT6hPqrI8hhBDdSoLiHOT/6mGqPv4Yz9hYfBMTW14+o0ehPD1bjquz1LGzZCfbi7aTXpTOzpKdNFiN9XCGhwwnNSqVydGTSYlKIdw33GmfSwghupIExTmo37cP05at1GVlUZeVhaXIWCZY+fjgO348vklJ+CYZ4eERFtZyXqO1kT1le0gvTCe9KJ0j3vcPAAAgAElEQVTM4kzqLHUADAseRmp0qvGKSiXCN8I5H1IIIZxMgsIBTQUFLaFhzsyift8+aGoCwGvwYHyTk/FLTsI3KQmvIUNQbkYPqSZbE3vL9pJemE5aURqZRZmYLWagNTgmR08mNSpVnjiEED2GBIUT2Orrqd+zB3NGBnWZWdRlZGCtrATAPTjYqKpKScEvNQWf8eNx8/ICwGKzsK9sH2lFaWwr3NZucEyJnkJqdCphPmFnvL8QQnQlCYouoLWm8Vg2dZkZRnhsz6AxOxsA5eWFz4QJ+CUn45uSjF9SEu7Bxtr1zcGxrXAbaUVpZBRltFRVDQ8ZzuToyUZwRKUS4hPS5Z9DCCFAgqLbWMrLqcvIwLw9A3PGdur37AWLBZTCe8QI/FJT7E8dqXhGRQGtVVVphWlsK9hGZnEm9dZ6FIqRoSOZEjOFKdFTSIlKke64QoguI0HhIra6Oup27MScsZ269O2Ys7LQZqPayTM+Hr/UVPsrBc+EBJRSNFmb2FW6i7TCNNIK08gqyaLB2oCbcmNc+DimRE9hSswUkv6/vfuOb6u6/z/+OpKXvPe24+y9h7MJCQkJI6SQQqEQaCnQbymlg7LLaClQfi2ltITRBghhQ5hhBAghZDrLzt7Le8Tbli1b0vn9ceXYCY6T2LJlO5/n46GHJd2re4/gxm+fe1b0SCxeFg9/QyFEdyFB0Ulou53aPXuxbt6MdfNmarZsOdHO4RUdbYTGuLH4jx2LT69eKKWwOWxsL9pOWl4am/I3sb1oO3Ztx8vkxfCo4aTGpjIubhzDIofhbfY+QwmEEKJ5EhSdlHY6qTt82AiOjZuwbtqEvagIAHN4uBEcY8fiP24cvn37oEwmrPVWthZuZWP+RtLy0thTvAeNxuJlYXTMaMbHjWd83Hj6hvWVuaqEEGdNgqKL0FpTn5mJdZMRGtWbNmHPzQPAHBp6IjSaBke5rZzN+ZvZkLeBDXkbOFpxFIBwv3BSY1MZHz+eCXETiAuM8+A3E0J0dhIUXVhddo4RHGlpWDdtoj4nBwBzWJgRHKnjCEhNxad3b5RS5Ffnk5aXRlpeGuvz1nO85jgAKcEpTIyfyMT4iYyNHYu/t78nv5YQopORoOhG6rJzsG7ciHXjRqo3pjXWOCIjCUhNxX98KgGpqXgnJQFwsOwg63LXsT53PVsKtlDrqMXL5MWIqBFGcCRMZGD4QLlNJcR5ToKim9JaU5+dTfWGDVjTNmJNSzvRxuEVH0dA6ngCJozHf/x4vKOjsTlspBemnwiOvSV7AeM21cT4iUxKmMTE+Iky8E+I85AExXnCGAR4xAiODWlY09JwlJcD4NOnNwETJhIwYQL+48ZiDgzkeM1x1ueuZ23uWtblrKPUVopCMThiMJMSJjE5YTJDI4diNpk9/M2EEO1NguI8pZ1OavfswbphA9Xr1mPdsgVdWwtmM5ZhwwiYMIGAiROwDB+O9jKzu3g3a3PWsjZ3LduKtuHUTkJ8Q5gYP5EpCVOYnDBZplIXopuSoBAAOOvqqEnPoHrdOqo3rKd2x05wOjH5++OfmkrAxIkETJqET88UY8W/vPWszl7Nmpw1lNSWoFAMjRrKlIQpTE2cysDwgSilPP21hBBuIEEhmuWoqKA6Lc0IjrXrqM/MBMArLo6ASRMJnDSJgAkTUCHB7C7ezers1Xyf/T07i3cCEGWJYmriVC5IvIDx8eNlpLgQXZgEhTgrdVlZVK9dZwTH+vU4KyvBZMJv6BACJ00mYMpkLEOHUlxfxpqcNXyf/T3rctdRXV+Nr9mX1LhULki8gKmJU4kNiPX01xFCnIMuHRRKqXnApUA08JzW+quW9pegcA9tt1OzYwfVa9ZStWZ1422q4GACJk4kcMpkAiZPhshwthRuYVXWKr7L+o7sqmwABoYPZFrSNC5MupAB4QPkFpUQnZzHgkIp9TJwGVCotR7S5P3ZwL8AM/A/rfWTZ3GsMODvWuubW9pPgqJ9OMrKqF6/nqrVa6heswZ7YSEAvv36ETh1CgFTp2IZMYIj1iy+y/qO77K+Y1vRNjSauIA4Lky6kAuTL2R0zGi8TTInlRCdjSeDYipQBbzWEBRKKTOwH5gJZAObgGsxQuOJUw7xc611oetz/wDe0FpvbemcEhTtT2uNbf8Bqld/T9XqNVi3bAG7HVNgoFHbmDqFgClTKQ828X3296zMWsn63PXYHDaCfIK4IPECZiTPYGL8RBkhLkQn4dFbT0qpFGBZk6CYADyitb7Y9fo+AK31qSHR8HkFPAl8rbX+5jT73ArcCpCcnDz62LFjbv4WoiWOqiqq16+n+vvVVK1ejT0/HwDfQQMJnDqVwAsuQA/sw4bCjXyb+S2rsldRbivH1+zLpPhJXNTjIqYmTiXEN8TD30SI81dnC4r5wGyt9S9cr28AUrXWvz7N538D3IhR88jQWr/Q0vmkRuFZDbWNqu9XUbVqFTXpGeBwYA4LI2DKZIKmTcN34ni21Rzkm8xvWJG5gkJrIV7Ki3Fx45iRPIPpydOJtER6+qsIcV7pbEHxY+DiU4JinNb6DnecT4Kic3GUl1O1Zg1Vq1ZRvep7Y6S42Yz/6NEETptGwLSpHAiy8nXm16w4toLMykwUitExo7k45WIu6nGRhIYQHaCzBcU53Xo6VxIUnZd2OKjZtp2qVauo+u47bPv2AeDToweB06cTOG0a2b2C+CbnW746+hWHyw9jUibGxIzh4pSLmZE8gwhLhIe/hRDdU2cLCi+MxuwZQA7GLaXrtNa73HE+CYquoz43l8qVK6la+R3WtDR0fT2mkBACp0whcPqFFAxL4Kui1Sw/upyjFUcxKRPjYscxO2U2F/W4SNo0hHAjT/Z6eguYBkQCBcDDWutFSqlLgGcwejq9rLX+q7vOKUHRNTmqqqleu5aqlSupWrUKR2kpytsb//HjCZwxncJRPfiqahPLjy4nszITL+XFxISJXNLzEi5MulB6TwnRRl16wN25am1QWOvs+HmZMZlkYJinaYeDmvR0Kld8S+WKFSemFvEbPoygGTMoGJPCl84dfHn0S/Kr87F4WZiWOI05PecwOWGyrB0uRCtIUJyF+z7YztKtOSSFWUiJCCA5wv/Ezx7h/iSG+ePjJYv7dDStNXUHDxqh8c031O405pny6dWLwJkXkTM6ic+8dvNV5teU2coI9glmZo+ZXN77ckZGj5QFmYQ4SxIUZ2HFngLSjpRwrLiaY8VWjhVbqal3nNiuFMSHWEgKt5AU5k9SuD/J4f7G63B/ogJ9ZZqKDlCfl3ciNKybNoHDgXd8PP4zZ3B0RCyf+u9jRfZKauw1JAQmcGmvS7m81+WkhKR4uuhCdGoSFK2gtaaoykamKzQySxofWSVWCittJ+3v520iMcyfxDCL62E8TwrzJyHMQkSAjwSJm9lLS6la+R2VX31F9bp16Lo6zBERWKZPY9/wcN4L2MOGoo04tZNhkcO4rPdlzEmZQ6hfqKeLLkSnI0HRDmrrHWSXWskqqSGr1EpmsZXs0hqyy4z3ymvqT9rfz9tEfKiFhFAjSBJCLSSEWUgI9Sc+1I/YYD+8zHKbpLUcVdVUr/6eiq++omrV92irFXNoKF7TJrFtiD9vBuxkb8UBvExeTEucxtzec5mcOFnmnRLCRYLibGxaBAU7IXGs8QjvDabW/+KurK03gqO0hpxSI0RyylyP0hqKq+tO2t+kICbYj/hQC3EhfiS4fsaFWogPsRAX6ie1krPkrKmhas0aKr9cTtXKlTitVkwhITgnj2b9QBNL/LdxvL6UCL8ILu99OfP6zKN3aG9PF1sIj5KgOBtfPwybXwZbhfHaLxQSx7iCYwwkjAaL+5YBralzkFtuhEZOWQ15ZTXklteSW1ZjPMprqbM7T/qMj5fJCI8QP+JCLCc9jw3xIzbEj3B/H+m51YTTZqN6zRoqGkKjqgpTcDBVEwazoq+NdwJ3UaccDI0cyrw+85jTcw5BPkGeLrYQHU6C4mw5nXB8P2RvguyNkL0FCncDrv9Okf0bgyNxLEQPBJPZbWVvSmtNcXUdeWW1RpCU15BXXms8yoznBRW12J0n/z/0MZuICfElNtiP2BALscG+xAQbIRIb7EeM63E+9uBy2mxUr11LxZdfUrXiW5zV1ajQUArGpfBJSjFfh+Xi621hVsos5vebz4ioEVKDE+cNCYq2qK2A3K2QvdkVIJvAWmxs8wmEhFGNt6sSx0JAx81L5HBqiqts5JbXkl9eS74rTPIrXK9dP22n1EwAIgJ8iA72IzbYl9gQP6KD/FyB4kt0UPevnThtNqpXr6bi8y+o/O47tNWKjgjl0Iho3knOYVtMLb1Ce3NV36uY23uuNICLbk+Cwp20htIjkNVQ69gM+TtAu7rShvVsDI2ksRAzBDw4AExrTXlN/YnQKKioJb/cRkFlLQWuMCmosFFcbePUy8HbrIgO8iM62JeYID9ign1d4dJQMzFeB/t5dem/vJ01NVStWkXF519QtWoV2majPjqUjYN9+ajncXJjvbkoZSZX97ua0TGju/R3FeJ0WhUUSqntZ3HsIq31jLYUzt08MoVHnRXyMhprHFmboMpYkwEvC8SPNEIjcSwkjoOgmI4t31modzgpqrRRUNEQJrUUNHldWGEjv6KWylr7Dz7r62U6KTgaQiUm2BUyrmAJ9PXywDc7N46qKqq+/Zbyzz6jeu06sNupiA9hRT8bKwbUE5jSmx/3+zFz+8wl2CfY08UVwm1aGxS7gEtaOi7widZ6WNuL6D6dYq4nraE826hxZLnCI28bOF1dZkOTG0MjaSzEDAUvH8+W+SxZ6+wUVhgBkl9RS1GljcJKG/nltRRWNgaKtc7xg88G+Jh/EB7RQY3PG8LFz7t92n3Olb20lMrly6lY9hlW1zWV3SOA5f1q2DrEwtShl3FN/2sYGDHQwyUVou1aGxSTtdZrznDgM+7T0TpFUDSnvtYIi4ZaR/YmqMgxtnn5GbWOxDGu8EjtlLWOc1FZW0/hKTWSAlfAFFYat7vyK37Yswsg2M+L2JDGhvfYYD9iXI3xxnNfIgN8O7T9pD43l/LPPqNi2WfY9u3DaVZs62Xiu8Ea2/hhzB96HbNSZuFr9u2wMgnhTq0NiruAd7TWWe1ZOHfrtEHRnPKcJrWOjUaQOFzjK0KTXaExzqh9xA71aFtHe9BaU1Fjp6Cy1lUjaQwWo8Zio6C8lqIqG45Tend5mRTRQb4nugXHBluIDfEl1tVtOLYde3fV7ttPxaefUPrJJzgLi6jxNbFugCZ9ZDDDL7qWnwy6lmj/aLefV4j21Nqg+CcwHzgCvAW8p7U+3m6ldJMuFRSnstuMsMja2BgglbnGthNtHQ3hMQ4Cozxb3g7S0LuraYN83omGeNfz8uZvd0UG+hIfesrYk1ALCaHG4MboID/MrayZaIcD68aNlH38CeXLv0TV1FIYAquHmuGSC/nR1F8yOHJwW7++EB2i1b2elNG9YyrwE+AKYBtGaHyota5sh7K2WZcOiuaUZ7uCY5Pxs2lbR1jPxhpHUipEDwJz528wbg9aayptdlc34VryymvILXM9r2gce1JlO7kx3mxSxAb7ucLEYkyzEmYh8cQUKxYCzqIR3mm1UrliBQXvv41941aUht1JcHhyT0Ze8yum9ZuNl+n8/H8juga3dI9VSpmBi4Angf5a6065Uky3C4pT1dcaPaxO1Do2QlWBsc07wBjX0VDjSBwLAbJ0aFMVtfXklblGwJfXnPQ8t8wImHrHyf8uQv29T8zPlRjmf2K+rqRwYxbhU3tz1eflUbT0PQqWvoNfXgm13rB9SADBV/6ImVfcSaBPYEd+ZSHOSpuDQik1FKNWcQ1QDLyltX7GraV0k24fFKfSGsoyXTWONCM4mo7rCO/dpNYxzqh1tNNo8u7A6TRmDT4xN1dpDdml1ibPa06afh6MIElyzRacHO7vWsMkgKQwC6FHdnPgjRfwWrkBX5uTgnATZReNYvzN9xHbY5CHvqUQP9TaNoq+GOFwLeAA3sYIiMPtVVB3OO+Cojl1VshNP7mhvLrI2HbSaHKpdZwrrTUl1XVklxqzBmeVGEGSXVpDVonxs87R2JPLy6RICLPQJ8iL4Vlf03vLV/Q6Wo5TQe7QWFJ+ejN9LrkG5d29OiqIrqe1QXEYoz3iba31jnYsn1tJUDRDayg92tjOkb0R8nc2qXX0ahzTkTjuvG7raCunU5NfUcuxYmPdkmMl1SfWMzlyvJrKWjvxtgPMyfuc6QezCK+C8gAvDo0aj7p4AQnDBtA7KoD4EEu3nT5FdE7uuPXUA+irtf5GKWUBvKQxu4trqdbR0NZxYiqScR06h1V3pbWm1FrP0eJqjh6vZl9eNqUbFzFk6wZGHbRj1rA9Jo7Pk6azJXk4idEh9I4KpHdUAL2jA+kTHUjvqMBOMyBRdC9tCgql1C3ArUC41rq365bUC51t6o4GEhStdKLWsblx9tz8HeB09RJqmMMqaZwxMNDDc1h1JzX2GpZtfJ0jby5i3OZyYsrA6m9hx5AL+Cx5PFscgTQMI1EKksL86RMdSF9XePSNCaJvdOBZ9c4S4nTaGhQZwDggTWs90vXeDq31ULeX1A0kKNyozuoaTb6xsYtuQw8rL4ur1jGmU89h1ZXUO+v54tBnrPrw3wxZm8fYAxqzE3zHjsV26Y843G8MB0pqOFhYxcHCKg4XVZ/UHpIYZmFAbBD9Y4PoHxvMgNggekYG4C0rJ4qz0NagSNNapyql0rXWI5VSXsDWzjbHUwMJinakNZRnNU58mL0R8rY3jusISTaCo6F7bmzXmcOqM3E4HazIXMHba58n8fv9zNqmiChzYI6MJPTH8wm7+mq84+KwO5xkllg5UFjF/vxK9hZUsj+/ksPHq0+MZPcxm+gTHcjAuGAGxgUxKD6YQXHBhPrL/xdxsrYGxVNAGbAAuAP4FbBba/2AuwvqDhIUHay+FvK3N9Y4sjdDRbaxzewLccNPXuwpJNG4fyLOSGvNmpw1vJTxAiotg8u3eTP4gA2lTATNmE7YtdfiP2HCD6Y9t9kdHCqsZl9BBXvzKtmTX8mevAqKKm0n9kkItTAoPpgh8SEMjg9mWGII0cF+Hf0VRSfS1qAwATcDszBmjF0O/E930sUsJCg6gfIcyNncGBy56WCvNbYFxjRZXnaMMS2JrwxAa4nWmrT8NJ7PeJ6s/Vu4YoeF6dsceFXW4JOSQth11xIybx7m4JanPS+qtLEnr4JduRXsyi1nd24FR4qrT6xDEhfix7DEEIYnhTIiMZQhiSEE+0k71PlCFi4SnuWoh4KdTRrKN0PJIWObMhndcRNGN9Y6IvvJoMBmaK3ZlL+J5zKeY0fuFmYdCmL+zgAC9uegLBZC5l1B+PXX49u791kfs9pmZ09eBduzy9mWXca2rDKOFltPbO8THcio5FBGJocxukcYfaICpdtuN9XacRRXAIla6+dcr9OAhlno7tFav9cehW0rCYouwlpiBEbO5safteXGNp8gSBhphEfCaKPmERzn2fJ2IlprNuZvZGHGQrYWbmVUWSi37E8kcvVudF0dARMnEnbD9QRecAHKdO4N2WXWOiM4ssrYmllKelYZZVajHSrYz4tRPcIYnRzGmJRwRiSFYvGRUO8OWhsUa4GfNEwz7ur9NAMIAF6R7rHCrZxOo5bRNDwKdjZ2zw2Kb+xllTAa4kaA3/m9wlzDLamFGQtJL0ynn4rlt9mDifkyHUdhId49kgn/6U8JufJKzIGtv72ntebI8Wq2Zpax5VgJm4+WcqCwCjBGng9OCGF8z3BSe4UzJiVcbld1Ua0Nik1a67FNXv9Ha/1r1/MNWuvx7VLaNpKg6EYaGspzthiP7M3GeuUAKIjq76pxjDJ+Rg8+L3tZaa1Zl7uOZ9OfZXfxbvoE9uQPVZNI/HIbNenpmAIDCZ0/n7Drr8cnMcEt5yyz1rE1s5TNR0vZdLSEjKwy6h0ak4LB8SGk9gxnfK8IUnuFEyTB0SW0NigOaq37nGbbIa312d8I7UASFN2ctQRyt0L2FtfPzWB1LZNi9oW4YRA/qjE8wntDK26/dEVaa1ZkruDf6f/mcPlhBkUM4reWy0j+fBsVX34JWhM0axYRN92IZcQIt567ps5BemYpG46UkHa4mPSsMursTswmxfDEECb3iWRSn0hGJoe1y2JSou1aGxRvAN9prf97yvu3AdO01te6vaRuIEFxnmmYPTd3q6vWscWYhr3e1SDrGwLxwxvDI35Ut++i63A6WHZ4GQszFpJbncvY2LH8NvEGYr/YQuk77+KsrMQyciThP7uJoBkzUGb3tzHU1jvYmlnKuoPFrDl4nO3ZZTg1+PuYGd8rgil9I5naL4pekQE/6N4rPKO1QRENfATYgK2ut0cDvsA8rXVBO5S1zSQoBA47HN8HOVtdAbIVCnY1DgwMiGoSHCONR2D3W7q0zlHH+/vf58XtL1JSW8LMHjO5o/8thHyzhZLFi6nPzsY7OZnwGxcQeuWVmCyWditLeU09Gw4Xs+bAcVYfKDrRsyoh1MK0/lHMGBjNhF6R0jDuQW0dRzEdaFjPcZfW+ls3l8+tJChEs+prjbBoCI7cdCNMtGsKjOAEV2iMMH7Gjew2069X11fz2u7XeHXnq9gcNub3m89tQ27Bd00Gxa+8TO227ZjDwghfcANh112HOSSk3cuUVWLl+wNFrNpXxJqDx7HWOfD1MjGxdwTTB0Rz4YBoEsM65dpo3ZaMoxCiObYqo7E8N8MIkNx0KD7YuD0k2XXbylXriBsB/uGeK28bFdcU88K2F3h///v4mH24achNLBi4ALV9D8X//R9Vq1Zh8vcn9Cc/IfzGG/GO6Zhals3uYOORElbsKeTbvYVklhi1jUFxwVw8OJaLh8TQPyZIblG1MwkKIc5WbbkxEWJuuuuR0aSnFRCa3Bga8SO6ZHgcLT/Kv7b+i28yvyHSEsntI25nXp952A8covil/1LxxRcos5mQefOIuOUX+CQnd1jZtNYcKqpmxZ4CvtpdwNbMUrSGlAh/Zg+JY86QWIYlhkhotIMuHRRKqQDge+BhrfWyM+0vQSHcrqbMaCDPzXD9TDemZG8Q2qMxNLpQeGQUZvD3zX9nW9E2+ob15Z6x95Aal0pdVhbFL79M+dIP0HY7wZdeSuRtt+Lbp9lOkO2qsLKWr3cX8OXOfNYfKsbu1CSGWbh0aByXDI2T0HCj1jZmLwe+BL7QWu9txUlfBi4DCrXWQ5q8Pxv4F2DGmDPqyTMc589ANUb7iASF6BxqSl01j9OFR9Oax0hjcsROGB5aa74+9jVPb3manKocpidN564xd5EUnIS9qIjiV16l9O230TU1BM2aReT//RK/AQM8UtYyax1f7y7g8x15rD5wHLtTkxLhz5WjEvnRyASSwqVNoy1aGxSxwGzXox+QhhEcK7TWVWdx0qlAFfBaQ1AopczAfmAmkA1swliT2ww8ccohfg4MAyIBP+C4BIXo1E6ER3pjgJwaHnEjjNBoqH10kpUDbQ4br+16jf/u+C92p53rB13PrUNvJdAnEHtpKSWLF1P6+hs4q6oIvGgGkf/3f1gGDz7zgdtJmbWO5bvy+Sg9l/WHiwEY1zOcq0YlMGdonIwObwV3LIVqAlKBORjTeNQAX2mtnzrD51KAZU2CYgLwiNb6Ytfr+wC01qeGRMPn/4oxZcgg1zl/pLV2NrPfrRir8JGcnDz62LFjZ/W9hGh31hIjPPK2Nd6+atrmEZzgCo4mj6A4j43zKLQW8q+t/+KTQ58Q4RfBnaPu5Io+V2BSJhzl5ZQseZ2S117DWVFB4IUXEnn77ViGeC4wALJLrXyckcvSrdkcLqrG18vE7CGxXDsumdSe4XJr6iy5vY1CKRUJXKy1fuMM+6VwclDMB2ZrrX/hen0DkNowNUgLx7kJqVGI7qKmzFhmNi/DWPgpLwOOHwBc/x79I12hMQxihxnPw3p26AjzXcd38eTGJ8koymBIxBDuT72foVHGopaOykpKX3+d4lcX4ywvJ3DaNKJ+cwd+gwZ1WPmao7VmW3Y5S7dk81FGDpW1dnpFBXDduGTmj06UxZrOwGON2c0ExY8xAqZpUIzTWt/hrnNKUIguyVZlTIKYt92ofeRvg8K9jYMEfYKMFQNPhMcwiOzfrnNbaa1ZdngZ/9zyT4pqipjXZx6/HfVbIizG+BJHVRWlr79B8Suv4CwvJ2jWLKLu+DW+ffu2W5nOVk2dg8925PFm2jG2Zpbh42XismFxXD++ByOTQqWW0YzOFBTndOupNSQoRLdht0HhHmOsR0OAFOxsnJ7E7ANRA1zhMdwIkpjBbp9Vt7q+mhe3v8iS3UuwmC3cPvJ2rul/DV4mL8CoYZS88iolixfjtFoJvuwyom7/FT4pKW4tR2vtyavgzbRMPkzPocpmZ2hCCAsm9ODy4fH4ectI8AadKSi8MBqzZwA5GI3Z12mtd7nrnBIUoltzOqDksKvW4QqQ/O1gLW7cJ7yXERqxQxsDJCi2ze0eh8sP82Tak6zPW0+/sH48kPoAo2JGndhuLy2lZNEiSl5/A11fT8iP5hF1++14x3WOtUSqbXY+SM/htXVHOVBYRXiADzeM78GCCT2ICPT1dPE8rj3aKH6mtX7lDPu8BUzD6LVUgDEOYpFS6hLgGYyeTi9rrf/aqkKchgSFOO9oDZV5rnaP7cZtq/ydJzea+0eefOsqdihE9DnnlQS11nyT+Q1PbXqK/Op85vaey+9G/45IS2PvLXtREcdf+i9lb78NShH2058ScesteIWFuesbt4nWmvWHinl57RG+2VOIr5eJq0Yn8ovJPekVdf4uy9seQZGpte644ZrnQIJCCJfaCuNWVdMAadru4WUxblU1bfeIHgzefmc8tLXeyv92/I9Xdr2CxWzhzlF3Mr/ffMxNgqc+J4ei/zxH+ccfY/L3J+IXvyB8wTgQjOUAABpnSURBVA2Y/DvPeIeDhZX8b/URPkjPod7hZObAGG67oBeje3S+MS/trbXjKLafbhPQT2vdKetqEhRCtMBeB8f3G7er8nc0hojNtQytMhsLQjUER0PtwxLa7OGOlh/lsbTHSMtLY0jEEP404U8Miji595PtwAEK//kMVd9+i1dUFJG//jWhV12J8vJq72971gora1my/hhLNhyjzFrP+F7h/GZGXyb0ijhvGr5bGxQFwMVA6ambgHVa63i3ltJNJCiEOEdaQ9mxJj2uXG0fVfmN+4T2aDLWY4QRIq6p2bXWfH7kc57a9BRltjKuG3Adt4+4nUCfk2/jWLdsofDv/6AmPR2fXr2I/v3vCJwxo1P9IrbW2XlrYxYvrjpEYaWNsSlh3DmjH5P6dP/AaG1QLMJYG3tNM9ve1Fpf595iuocEhRBuUlXYeMsqb5vxvGm7R1DcSQMFKyJ68+yh93l337tEWaK4Z9w9zOwx86RfsFprqlasoPAfT1N35AiWUaOIueduLMOHe+ALnl5tvYN3N2excOUh8itqGd0jjN9e1JfJfSK7bWB06UkBz5UEhRDtqLa8sadVw4jz4/sb1/Xwj2BHbH/+7FXJ3vpyLogZywOTHiMu6OQbENpup2zpBxT95984io4TfOmlRP/+d3gnuGdNb3ex2R28uymL51yBMS4lnD/O7s/YlO7XhiFBIYRoP3VWY1GoPNf8VnnbsBfu4Y1AC8+FhQCK36hwro2bgrlhosTwXmAy4aiqpnjR/yh52ehEGX7TTUTccgvmwADPfqdT2OwO3t6YxX9WHqSo0sa0/lHcO2cAA2LdO2bFk1p762mr1nrUaXc4y306mgSFEJ2A3QYFu8jJXM1jRz5kTX0xQ231PFx0nP719eATaDSUxxuTJNabEihc/DEVyz7DHBlJ1J2/IfTKK9tlPe+2qKlzsHj9UZ7/7hCVtfVcMzaJ383sR3TQmXuKdXatDYoa4EBLxwVCOls3WQkKIToXrTVfHPmCv218koq6Cm6KHMttzkD88l1dd+01xo7e/tTofhSsrafmSCm+fVKIfegR/MelevYLNKPMWse/vz3Ia+uP4mM28X/TevOLKb269Ejv1gZFj7M4tkNrnd2WwrmbBIUQnVNZbRl/3/x3Pj70MSnBKTw04SHGRo2E4gON07LnbUPnbqfysIOCjGDsVi+CB1iIvnoS3oMmGGt7RPY754GC7eXo8Wqe+GIPy3cVEB/ix92zBzB3eDwmU9dr8JY2CiFEp7Eudx1/Xv9ncqpymN9vPr8f/XuCfIIad3A6oPggziMbKX5jKcUrjMbyyEGVhA+owuQXYHTPbVjLPGG00ebhwd5IaYeLeeyzPezIKWdUcih/mTeEwfEhHitPa0hQCCE6FWu9lYUZC1myZwlRligenvAwUxKnNLtvXXYOhX97ksqvv8E7JoyYy/sSFJpr9Lyy1xo7+YW4gmMUJIwywiO4Y4d6OZ2apVuzefKLvZRa61gwIYXfzexHiKVrLKIkQSGE6JS2F23nobUPcaj8EHN7z+XusXcT4tv8X+JVa9dS8NfHqTt8mMDp04m554/4+FZCzlbI3Wr8LNwNTrvxgaA4IzAagiN+pBEo7azcWs/fv9rH62nHiAjw5cFLB3LFiPhOP/6iTUGhlBqktd59ynvTtNbfua+I7iNBIUTXUueo48XtL7JoxyJCfUP50/g/MaPHjGb31XV1lCxZQtFzC8HhIPKXtxFx880oH9e6HPU1xoSIuVshZwtkb4aSQ40HiOznCo/RkDjGmNuqndb02JFdzoMf72RbVhnje4Xz2Lwh9IkOOvMHPaStQbETWAI8hbF29VPAGK31BHcX1B0kKITomvYU7+GhdQ+xt2Qvs1Nmc1/qfYT7NT+wrT4/n4In/0bll1/i07s3cX9+FP/Ro5s/cE2psY559hYjPHI2Q3WRsc3Lz+immzimMTxCe7itvcPp1Ly9KYu/fbkXa52dW6b04o7pfbH4dI7G+KbaGhQBwN+A0UAQ8Abwt+bWru4MJCiE6LrqnfW8vONlXtj+AsE+wTyQ+gCzUmaddv+qVavIf/TP1OfmEvrj+UT/4Q+YQ5ufwPAEraE8y6htNNQ68jIa2zsCoiBhDCSONn4mjGrzLaviKhuPf76XpVuzSQyz8JcrhnDhgOg2HdPd2hoUPsBfgZlAIPCg1vptt5fSTSQohOj6DpQe4MG1D7K7eDezeszigfEPnLZ24bRaKXruOUpeXYw5NJSYe+8l+LJLz61NwFFvjC5vCI6czcbUJAAoYyXBxNGQONZ4RA1oVRfd9YeKefCjHRwqqubSoXE8fPkgooM7x2C9tgbFNuBj4C9ABPAiUK+1nu/ugrqDBIUQ3YPdaefVXa+yMGMhgd6BPDD+AS5Oufi0+9fu3UveQw9Tu307AZMnE/foI22bO6qm1BUcrttV2ZuM98BYwzxhFCSNg8Rxxi0r/7Ob/8lmd/DSqsP8e+VBfM0m7p4zgJ+OS/b42Iu2BsUYrfXmU967QWu9xI1ldBsJCiG6l6a1i4tTLub+1PtPW7vQDgelb71N4dNPo4CoP/yesGuvRZlMbS+I1sYytNmbIGuj8bNgF2iHsT2irxEcSeMgabxrYODpz3vkeDUPfrSDtQeLGZkcyhNXDvXo3FFtDYpmp+jQWme6oWxuJ0EhRPdjd9p5ZecrLNy2kGCfYP40/k9c1OOi0+5fn5ND3kMPU712LZYxo4l/7DF8UlLcX7C6aqNbbvZGyNpk/GxYv9wSZtQ2klMh2TWq3Nty0se11nyYnsNjn+2hoqaemyf35I4ZfQn07fhFndoaFDsAjTG3kx/QE9intR7s7oK6gwSFEN3X/tL9PLjmQfaU7GFOzzncP+5+Qv2ab7zWWlP+4UcUPPkk2mYj6re/JXzBDe070aDWUHwIsjZA5gbISmts6zB5G5MgJrmCI3k8BBhrjZdW1/HEF3t4d3M2UUG+3H1xf64aldiht6PcOuBOKTUKuE1rfZs7CuduEhRCdG/1znoW7VjEi9teJNQvlIcnPMy0pGmn37+gkPxHHqFq5Uosw4cT98QT+Pbq2XEFri42AiNrA2SmGWM8HHXGtoi+jTWOpPFkWCN4dNlu0jPLGJYYwkOXDWJMB6194faR2Z1xevEGEhRCnB/2lezj/jX3s790P3N7z+WecfcQ7NP8PX6tNRXLPqPgscdw1tYSdeedhN+4wDPTmNttxiSImeuNR1ZaYyN5QBQ6eSLbvQbz1J4I1lXFcNnwRO6dM4CEUEvLx22jtt56+n2TlyZgFBChtT599wMPkqAQ4vxR76jnhe0vsGjHIiItkTw68VEmJUw67f72oiLyHnmUqhUrsIwcSfyTT+DT42wmym5HTqcxg27meji2Ho6tNcZ5ADVewayt68dGPZDQgRdw+cxZJEW1zzQkbQ2Kh5u8tANHgaVa61q3ldCNJCiEOP/sPL6TB9Y8wOHyw8zvN5+7xtxFgHfzq+QZtYtl5P/lMXR9PTH33E3oNdd0rrmYSo8ZgXF0LfYjq/EqPwaAVfuSEzCIgD4TiBs0BZU4FgKj3HJKmRRQCNHt2Rw2nkt/jld3vUpcQBx/nvRnUuNOv+hRfX4+efc/QPW6dQRMmULcY4/hHdO5RkufUJFL6d7v2b/5GwIKttCfY3gro1uuPaQHXsmpxkDAgZdDcFyrTtHahYs+xejt1Cyt9dxWlaadSVAIcX7LKMzgwbUPcqziGNf0v4bfj/49/t7+ze6rtab0zTcp/H9/x+TrS+wjDxM8Z04Hl/jcVNvsfJVxhIyN3+Gbv4WRpoOM9z5EmLME24Iv8O01sVXHbW1QXNDSQbXWq1pVmnYmQSGEqLHX8J/0/7Bk9xLiA+N5dOKjLdYubEeOkHvPvdRu307wpZcS+/BDmIM9N/jtbGWVWHl/SzZLt2ThKMvhqRtnMGVg60ajtzYokjvroLqWSFAIIRqkF6bzp7V/Orvahd3O8Zde4vjC5/GKjiLhb3/Df+zYDi5x6zidmo1HSxibEo65lWMvThcUZxrT/lGTAyxt1ZmFEMKDRkaP5L3L3+OGQTfw7r53+dHHP2Jd7rpm91VeXkT96lekvPkGysubYzfeROEzz6Dr6zu41OfOZFKM7xXR6pBo8dhn2N70jL3cfnYhhOgAFi8Ld4+9m8VzFuNj9uG2r2/jkXWPUFlX2fz+w4bR84MPCJk3j+IXXuTo9ddTl9nlbq64zZmCQp/muRBCdDkNtYufDfkZHx78kHkfzWPFsRXN7msODCD+8b+S8M+nqTt8hCPzfkT5xx93cIk7hzO1UTiAaoyahQWwNmwCtNa6U7b0SBuFEOJMdh7fySPrHmFf6T6mJ03nvtT7iA2IbXbf+txccu6+m5rNWwieezmxDz2MObD5MRpdmYyjEEKIU9Q761myewnPZzyP2WTmzlF3cnW/qzE3syCRdjg4/sILHH9uId5JiST842ksQzrlvKit1trGbCGE6La8Td78fMjP+eCKDxgWOYzH0x5nwZcLOFB64Af7KrOZqNtvp8dri9G2Oo5eey0lr71Gd/xj+1QSFEKI815SUBIvznyRxyc/TlZFFld/ejX/2PwPquurf7Cv/5gx9ProQwKnTKHg8SfI+c2dOCoqPFDqjiNBIYQQgFKKy3tfzsfzPmZun7m8uutVLv/wcj47/NkPag3m0FASn/sP0XffTeXKlRy5aj41O3d5qOTtr9MHhVLKpJT6q1Lq30qpGz1dHiFE9xbmF8ajEx/lzUveJNo/mntX38tNX97EvpJ9J+2nlCLi5z+jx5LX0HY7x669lpI33+yWt6LaNSiUUi8rpQqVUjtPeX+2UmqfUuqgUureMxzmCiABqAey26usQgjR1NCoobx56Zs8MuERjpQf4eplV/PYhscorS09aT//kSPp+cFS/CdOoODPfyHn97/HUVXloVK3j3bt9aSUmgpUAa9prYe43jMD+4GZGL/4NwHXAmbgiVMO8XPXo1Rr/aJS6n2t9fwznVd6PQkh3KncVs7CjIW8s+8d/L38uWXYLfx04E/xMfuc2Ec7nRQvWkTRM//CJymJxH8/i2/fvh4s9bnzSK8nrfX3QMkpb48DDmqtD2ut64C3gSu01ju01ped8ijECJOGCHe0Z3mFEKI5Ib4h3Jd6H0vnLmVE9Aie3vI0cz+ay6eHPsXhNH4tKZOJyFtuocerr+CoquLI1ddQvuwzD5fcPTzRRpEAZDV5ne1673Q+AC5WSv0b+P50OymlblVKbVZKbS4qKnJPSYUQooneob1ZeNFCXpr5EkE+Qdy/5n7mfTyPzw9/fiIw/MeOpefSpfgNGkTuXXeR/9hf0XV1Hi5523giKJqbsaqlNS+sWuubtdZ3aK2fa2G/l7TWY7TWY6Ki3LPakxBCNGdC/ATeuewdnp72NF4mL+5ZfQ/zP53PV0e/wqmdeMdE0+PVVwi/cQGlr7/OsZt+Rn1BoaeL3WqeCIpsIKnJ60Qg1wPlEEKIVjMpEzN7zGTp3KU8NfUp7E47f1j1B67+9GqWH12O02wi5r77SHj6H9Tu3cuRq67C2kXbTj0RFJuAvkqpnkopH+AnwCceKIcQQrSZSZmY03MOH13xEY9PfpxaRy13rbqLSz+8lDf3vInXzGn0fOdtzIGBHLvpZ5S+/bani3zO2rt77FvAeqC/UipbKXWz1toO/BpYDuwB3tVad9+RKkKI84LZZDYG7F3xMc9Me4ZISyRPbHyCme/P5MXKLwhcvJCASRPJf+RR8h55pEu1W8ikgEII0U4yCjNYvGsxKzJXYDaZubTHHK5frdBLPsB/7FgS//0s5tBQTxfzBJk9VgghPCSrIosle5bw0cGPqLHX8LOc3sx+6xC+CYkkvfQiPsnJni4iIEEhhBAeV24r59197/Lm3jeJ3F/EvR+Ar5cfyc8/T/Boz6/NLdOMCyGEh4X4hnDLsFtYftVyrrvmLyz8VTKF5mqO3riAT1+6l6q6zjn1h9QohBDCQ5zaydrdX1L7x0dIPFzJ0gv9CLj5Bm4cchPhfuEdXh6pUQghRCdjUiamDL6EGR+tQc+czFUra/H+f/9jzvsX888t//zBBISeIkEhhBAeZvLxYeCzLxFx223M2Ka577twXtnxMrOXzubZrc9Sbiv3bPk8enYhhBCAsb5F1G/vJOK22+i/JpP3Ds5mSsJk/rvjv8xeOpvnMp7zWGBIUAghRCfREBbhN92E8/1l/DEthvcue4/UuFRe2PYCs96fxdObn+Z4zfEOLZdXh55NCCFEi5RSRN9zN7q+npJXXiHS4sczv3mG/aX7WbRjEYt3L+aNPW9wWe/LuGHgDfQJ69P+ZZJeT0II0flop5O8hx6i/P2lRP3ud0TeditgDN5bvHsxHx/8mFpHLZPiJ7Fg0AImxE9AqeYm5z57MuBOCCG6GO1wkHvPvVQsW0bM/fcRvmDBiW1ltWW8u/9d3tr7FsdrjtMntA8LBi3gkl6X4Gv2bdX5pHusEEJ0McpsJv7JJwiaOZOCx5+g/LPGFfNC/UK5dditLL9qOY9NegyTMvHQuofYmLfR/eWQGoUQQnRuzro6Mn/+c2q3bSf5lZfxH/ODP/rRWrOlYAujYkZhUq2rA0iNQgghuiiTjw9J//kP3omJZN/+a2yHj/xgH6UUY2LHtDokWjy/248ohBDC7cyhoSS99CKYzWTddhuOsrIOO7cEhRBCdBE+SUkkLXwOe34+OX+8G+1wdMh5JSiEEKILsYwYQcyDD1K9ejXHn1vYIeeUoBBCiC4m9OofE3LllRxfuJDKlSvb/XwSFEII0cUopYh96E/4DRpE7j33UpeZ2a7nk6AQQoguyOTnR8Kzz6KUIvs3d+KsqWm/c7XbkYUQQrQrn8QE4v/+/7Dt20feww/TXuPiJCiEEKILC5wyhcg7fk3FJ59S+uab7XIOCQohhOjiIn/5SwKnTaPgiSexpqe7/fgSFEII0cUpk4n4p/5GyOWX45Oc7Pbjy3oUQgjRDZiDg4l/4vF2ObbUKIQQQrRIgkIIIUSLJCiEEEK0SIJCCCFEiyQohBBCtKhbrnCnlCoHDrSwSwhQfpptkcBxtxeq/bX0nTrzuVp7rNZ87mw/czb7tbSPXF+d51xtOda5frajrq+Wtrf1+uqhtY76wbta6273AF5q7XZgs6fL3x7fubOeq7XHas3nzvYzZ7PfGa4hub46ybnacqxz/WxHXV8tbW+v66u73nr6tI3bu6KO/E7uPFdrj9Waz53tZ85mv5b2keur85yrLcc618921PV1Ludyi25566ktlFKbdTOLiwvhDnJ9ifbUXtdXd61RtMVLni6A6Nbk+hLtqV2uL6lRCCGEaJHUKIQQQrRIgkIIIUSLJCiEEEK0SIJCCCFEiyQozoFSqpdSapFS6n1Pl0V0D0qpAKXUYqXUf5VSP/V0eUT34q7fWedNUCilXlZKFSqldp7y/myl1D6l1EGl1L0tHUNrfVhrfXP7llR0ded4rV0JvK+1vgWY2+GFFV3OuVxf7vqddd4EBfAqMLvpG0opM/AcMAcYBFyrlBqklBqqlFp2yiO644ssuqhXOctrDUgEsly7OTqwjKLrepWzv77c4rxZClVr/b1SKuWUt8cBB7XWhwGUUm8DV2itnwAu69gSiu7iXK41IBsjLDI4v/5wE610jtfXbnec83y/MBNo/GsOjH+0CafbWSkVoZR6ARiplLqvvQsnupXTXWsfAFcppZ6ne84RJTpGs9eXu35nnTc1itNQzbx32qHqWuti4JftVxzRjTV7rWmtq4GfdXRhRLdzuuvLLb+zzvcaRTaQ1OR1IpDrobKI7k2uNdGe2vX6Ot+DYhPQVynVUynlA/wE+MTDZRLdk1xroj216/V13gSFUuotYD3QXymVrZS6WWttB34NLAf2AO9qrXd5spyi65NrTbQnT1xfMnusEEKIFp03NQohhBCtI0EhhBCiRRIUQgghWiRBIYQQokUSFEIIIVokQSGEEKJFEhTivKOUciilMpo8WpxevqMopY4qpXYopcYopT50le2gUqq8SVknnuazv1BKLTnlvRjXdNTeSql3lFIlSql5HfNtRHci4yjEeUcpVaW1DnTzMb1cg57acoyjwBit9fEm700D7tJatzibsVIqDDgAJGqta13v/RoYqrW+zfX6dYy1Lz5qSznF+UdqFEK4uP6if1QptdX1l/0A1/sBrsViNiml0pVSV7jev0kp9Z5S6lPgK6WUSSm1UCm1y7WGyedKqflKqRlKqQ+bnGemUuqDNpRzrFJqlVJqi1LqC6VUjNa6FFgHXNpk158Ab7X2PEI0kKAQ5yPLKbeermmy7bjWehTwPHCX670HgG+11mOBC4H/p5QKcG2bANyotZ6OsVpdCjAU+IVrG8C3wEClVJTr9c+AV1pTcKWUL/Av4Cqt9WjgdeAvrs1vYYQDSqkkV1m+b815hGjqfJ9mXJyfarTWI06zreEv/S0Yv/gBZgFzlVINweEHJLuef621LnE9nwy8p7V2AvlKqZVgzPXsaj+4Xin1CkaALGhl2QcCg4FvlFIAZoyZQ8GYBO5ZpVQgcA3GfD/OVp5HiBMkKIQ4mc3100Hjvw+F8Rf8vqY7KqVSgeqmb7Vw3FcwFiaqxQiT1rZnKGC71nrKqRu01tVKqW8wVjb7CfB/rTyHECeRW09CnNly4A7l+hNeKTXyNPutwVitzqSUigGmNWzQWudirA/wIMaax621G2PlsnGusvgopQY32f4W8EcgVGu9qQ3nEeIECQpxPjq1jeLJM+z/F8Ab2K6U2kljm8CplmLcBtoJvAikAeVNtr8BZGmtW72OsdbaBswHnlZKbQPSgdQmu3yJcVvs7daeQ4hTSfdYIdxIKRWota5SSkUAG4FJWut817b/AOla60Wn+exRTuke6+aySfdY0SpSoxDCvZYppTKA1cBfmoTEFmAYRi+l0ykCViilxri7UEqpd4BJGG0kQpwTqVEIIYRokdQohBBCtEiCQgghRIskKIQQQrRIgkIIIUSLJCiEEEK06P8D8dWLtfp1IbMAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(4, 1, figsize=(6, 16))\n", "mDMs = [0.01, 0.1, 1, 10] * u.TeV\n", "\n", "for mDM, ax in zip(mDMs, axes):\n", " fluxes.mDM = mDM\n", " ax.set_title(r\"m$_{{\\mathrm{{DM}}}}$ = {}\".format(mDM))\n", " ax.set_yscale(\"log\")\n", " ax.set_ylabel(\"dN/dE\")\n", "\n", " for channel in [\"tau\", \"mu\", \"b\", \"Z\"]:\n", " fluxes.channel = channel\n", " fluxes.table_model.plot(\n", " energy_range=[mDM / 100, mDM],\n", " ax=ax,\n", " label=channel,\n", " flux_unit=\"1/GeV\",\n", " )\n", "\n", "axes[0].legend()\n", "plt.subplots_adjust(hspace=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flux maps\n", "\n", "Finally flux maps can be produced like this:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "channel = \"Z\"\n", "massDM = 10 * u.TeV\n", "diff_flux = DarkMatterAnnihilationSpectralModel(mass=massDM, channel=channel)\n", "int_flux = (jfact * diff_flux.integral(emin=0.1 * u.TeV, emax=10 * u.TeV)).to(\n", " \"cm-2 s-1\"\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "flux_map = WcsNDMap(geom=geom, data=int_flux.value, unit=\"cm-2 s-1\")\n", "\n", "fig, ax, im = flux_map.plot(cmap=\"viridis\", norm=LogNorm(), add_cbar=True)\n", "plt.title(\n", " \"Flux [{}]\\n m$_{{DM}}$={}, channel={}\".format(\n", " int_flux.unit, fluxes.mDM.to(\"TeV\"), fluxes.channel\n", " )\n", ");" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.0" }, "nbsphinx": { "orphan": true }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }