{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Fitting Correlation Functions with `emcee`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this demo, we provide a very simple example of how to fit galaxy correlation functions with `emcee`. This example does not do anything with the complexity required for fitting real-world data. It does not account for measurement error, or redshift evolution or redshift-space distortions. However, it gives a taste of what is achievable." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:42:07.547219Z", "start_time": "2020-09-23T18:42:04.552367Z" } }, "outputs": [], "source": [ "import corner\n", "import emcee\n", "import hmf\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from multiprocess import Pool, cpu_count\n", "from scipy.stats import norm\n", "\n", "import halomod\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:42:08.262595Z", "start_time": "2020-09-23T18:42:08.251896Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using halomod v2.2.2.dev9+gc49b3b6.d20240820 and hmf v3.5.0\n" ] } ], "source": [ "print(f\"Using halomod v{halomod.__version__} and hmf v{hmf.__version__}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create Some Mock Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's create a default galaxy halo model:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:42:53.336810Z", "start_time": "2020-09-23T18:42:53.324098Z" } }, "outputs": [], "source": [ "model = halomod.TracerHaloModel(\n", " z=0.2,\n", " transfer_model=\"EH\",\n", " rnum=30,\n", " rmin=0.1,\n", " rmax=30,\n", " hod_model=\"Zehavi05\",\n", " hod_params={\"M_min\": 12.0, \"M_1\": 12.8, \"alpha\": 1.05, \"central\": True},\n", " dr_table=0.1,\n", " dlnk=0.1,\n", " dlog10m=0.05,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's create some mock data with some Gaussian noise:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:42:57.934752Z", "start_time": "2020-09-23T18:42:57.031301Z" } }, "outputs": [], "source": [ "rng = np.random.default_rng(1234)\n", "mock_data = model.corr_auto_tracer + rng.normal(scale=0.1 * np.abs(model.corr_auto_tracer))\n", "mock_ngal = model.mean_tracer_den" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:42:59.345609Z", "start_time": "2020-09-23T18:42:57.937610Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(model.r, model.corr_auto_tracer)\n", "plt.scatter(model.r, mock_data)\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define a likelihood" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's define a likelihood function, based on some input model for $\\xi(r)$. The model is simply a $\\chi^2$ likelihood. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:43:02.128628Z", "start_time": "2020-09-23T18:43:02.120920Z" } }, "outputs": [], "source": [ "def chi_square(model, data, sigma):\n", " return np.sum(norm.logpdf(data, loc=model, scale=sigma))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define an `emcee`-compatible likelihood function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we define a likelihood function for `emcee`. There is a bit more flexibility here, as this function needs to calculate priors on all input parameters, and handle exceptions as well. This means this function is rather specific to the problem at hand. We will define a very simple function, but one that is fairly general." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:43:03.824532Z", "start_time": "2020-09-23T18:43:03.808541Z" } }, "outputs": [], "source": [ "fiducial_model = model.clone()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we define a small utility function that will take a dictionary in which keys may be dot-paths, and converts it to a nested dictionary:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:43:05.422046Z", "start_time": "2020-09-23T18:43:05.407055Z" } }, "outputs": [], "source": [ "def flat_to_nested_dict(dct: dict) -> dict:\n", " \"\"\"Convert a dct of key: value pairs into a nested dict.\n", "\n", " Keys that have dots in them indicate nested structure.\n", " \"\"\"\n", "\n", " def key_to_dct(key, val, dct):\n", " if \".\" in key:\n", " key, parts = key.split(\".\", maxsplit=1)\n", "\n", " if key not in dct:\n", " dct[key] = {}\n", "\n", " key_to_dct(parts, val, dct[key])\n", " else:\n", " dct[key] = val\n", "\n", " out = {}\n", " for k, v in dct.items():\n", " key_to_dct(k, v, out)\n", "\n", " return out" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, this will do the following:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:43:06.479621Z", "start_time": "2020-09-23T18:43:06.472437Z" } }, "outputs": [ { "data": { "text/plain": [ "{'nested': {'key': 1, 'key2': 2}, 'non_nested': 3}" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "flat_to_nested_dict({\"nested.key\": 1, \"nested.key2\": 2, \"non_nested\": 3})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This will enable us to pass a list of parameter names that we want updated, which could be parameters of nested models. This means our posterior function is fairly general, and can accept any model parameters to be updated:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:43:07.890583Z", "start_time": "2020-09-23T18:43:07.870569Z" } }, "outputs": [], "source": [ "def log_prob(param_values, param_names, data, model, bounds=None, derived=()):\n", " # Pack parameters into a dict\n", " params = dict(zip(param_names, param_values))\n", "\n", " # Allow for simple bounded flat priors.\n", " bounds = bounds or {}\n", " for key, val in params.items():\n", " bound = bounds.get(key, (-np.inf, np.inf))\n", " if not bound[0] < val < bound[1]:\n", " return (-np.inf,) + (None,) * len(derived)\n", "\n", " # Update the base model with all the parameters that are being constrained.\n", " params = flat_to_nested_dict(params)\n", " model.update(**params)\n", "\n", " ll = chi_square(model.corr_auto_tracer, data[0], 0.1 * np.abs(model.corr_auto_tracer))\n", " ll += chi_square(model.mean_tracer_den, data[1], 1e-4)\n", "\n", " if not np.isfinite(ll):\n", " return (-np.inf,) + (None,) * len(derived)\n", "\n", " derived = tuple(getattr(model, d) for d in derived)\n", "\n", " out = (ll,) + derived\n", " return out" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can test that the `log_prob` function works:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2020-09-23T18:43:09.990334Z", "start_time": "2020-09-23T18:43:09.234847Z" } }, "outputs": [ { "data": { "text/plain": [ "(np.float64(-49.38393283855804), 0.49037802811131503, 0.008902148975769263)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_prob(\n", " [12.0, 12.8, 1.05],\n", " [\"hod_params.M_min\", \"hod_params.M_1\", \"hod_params.alpha\"],\n", " (mock_data, mock_ngal),\n", " model,\n", " derived=[\"satellite_fraction\", \"mean_tracer_den\"],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the derived parameters: we can pass any `quantity` of the `TracerHaloModel`, and it will be stored on every iteration. Nice!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run `emcee`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's run a simple model in which we just want to fit $\\sigma_8$ and the spectral index $n_s$. We use the popular `emcee` package, and pass in our `log_prob` model:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2020-09-24T18:57:18.741837Z", "start_time": "2020-09-24T18:57:18.379132Z" } }, "outputs": [], "source": [ "backend = emcee.backends.HDFBackend(\"backend.h5\")\n", "backend.reset(64, 3)\n", "blobs_dtype = [\n", " (\"sat_frac\", float),\n", " (\"tracer_den\", float),\n", " (\"bias_effective_tracer\", float),\n", " (\"corr_auto_tracer\", (float, len(mock_data))),\n", "]\n", "sampler = emcee.EnsembleSampler(\n", " nwalkers=64,\n", " ndim=3,\n", " log_prob_fn=log_prob,\n", " kwargs={\n", " \"param_names\": [\"hod_params.M_min\", \"hod_params.M_1\", \"hod_params.alpha\"],\n", " \"data\": (mock_data, mock_ngal),\n", " \"model\": model,\n", " \"derived\": [\n", " \"satellite_fraction\",\n", " \"mean_tracer_den\",\n", " \"bias_effective_tracer\",\n", " \"corr_auto_tracer\",\n", " ],\n", " },\n", " pool=Pool(cpu_count()),\n", " blobs_dtype=blobs_dtype,\n", " backend=backend,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On the advice of the `emcee` documentation, we set up some initial positions of the walkers around the solution." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2020-09-24T18:57:19.971446Z", "start_time": "2020-09-24T18:57:19.959650Z" } }, "outputs": [], "source": [ "initialpos = np.array(\n", " [\n", " fiducial_model.hod.params[\"M_min\"],\n", " fiducial_model.hod.params[\"M_1\"],\n", " fiducial_model.hod.params[\"alpha\"],\n", " ]\n", ") + 1e-4 * rng.normal(size=(sampler.nwalkers, sampler.ndim))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "start_time": "2020-09-24T18:57:20.518Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [26:30<00:00, 1.59s/it]\n" ] } ], "source": [ "sampler.run_mcmc(initialpos, nsteps=1000, progress=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can plot the posterior in a corner plot, along with the derived parameters, and the true input values:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2020-09-28T16:28:54.993052Z", "start_time": "2020-09-28T16:28:53.162978Z" } }, "outputs": [], "source": [ "flatchain = sampler.get_chain(discard=500, thin=5, flat=True)\n", "blobs = sampler.get_blobs(discard=500, thin=5, flat=True)\n", "\n", "flatchain = np.hstack(\n", " (\n", " flatchain,\n", " np.atleast_2d(blobs[\"sat_frac\"]).T,\n", " np.atleast_2d(np.log10(blobs[\"tracer_den\"])).T,\n", " np.atleast_2d(blobs[\"bias_effective_tracer\"]).T,\n", " )\n", ")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2020-09-28T16:29:01.016316Z", "start_time": "2020-09-28T16:28:56.796003Z" } }, "outputs": [ { "data": { "image/png": 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vXt3s+H72rNkUKa9275beeCPv64FeqE4d6eGHzcZP+/ZJ//iH9PPPl3bPDJUrS6++KnXvbn6eOlW6/npp+/aCuT8AAAAAAACKD0LREioqygSBLpe0a1fubQMCzC7tUt6m0CclSXPnSu+9536X+wvt3p39+5UrS//8pwlqU1KkkSOljz7K/wjW8wUGSv/6lzRunAle16414fF770np6Zd+fwAAAAAAABQPhKIlWMa6orltcJQhYwp9XkZOfv+9tHFjnsuSJC1fnvNnYWHSgw9K115rwtDXX5f++9/8PSc7110nvf221KCBdOqU1KuXOc+tJgAAAAAAAJQchKIl2IAB5vWLL0yAmZtbbzWv69dLe/d6dv/IyPzXdupU7p8HBkqdOkk332x+njnTjOgsKBUqSC+9JD30kGS3S5s3Sy1bml3rU1ML7jmAN7lcLiUlJWX+nJSUlO0BAAAAAACyIhQtwTp2lJ580pxPnpz7KNDoaNNekubPNxsnudOkSf5r82S6umWZdT8zgtEZM8yu9gUlIEB64AHpww+ldu1MTaNHm42ZcpreDxQVLpdLLVu2VFRUWUnDJA1TVFRZhYWFZTmioqJ8XWqhCwqSXnzRHEFBvq4GAAAAAFAUEYqWcGPGSO3bS2fOSE8/LZ04kXPbvn2lsmXN+qDx8e7vbbdLjRq5b1euXJJq1Tqmyy47lvlelSrHFBJijsDA3EeyXX+9dOON5vytt6RPPnH/zLwoXVp64gnp8cclh0NatkyKiZFmzSrY5wAFKTk5WcuWLZOUImnS30dKju1jY2Nlt9sLqTrfKlVKGjbMHKVK+boaAAAAAEBRFOjrAuBdAQEm3GvaVNq5U3ruOWnCBPP+hcLDpf79peefl3780QSDZcvmfv/rrpPWrMn583LlkjRlytcqVSrr0NChQxdnnqen27RjR3ulpjpyvE+rVmb06o8/Sv/5j5lef8cdudeWVzffLNWvb77/5s3S/fdLX30lTZsmRUQU7LOAgpSQkCCHI+e/H0my2+2yLKuQKgIAAAAAoGhjpKgfKFtW+uwzKSRE+uUXEyzm5KabzI7s6enShg3u712hwrlNmrITHn72okD0QjZbugIDz7p91g03mHU/JemVV0yA++WX0smT7uv0VOXK5t69e0s2mzR7tukPT0bOAr5h06+/ltaWLQ6FhDjkcGR/+FMgmpYmrVplDk+WAgEAAAAA+B9GihaS1NRUpfpwB5+rrpKGDJEmTZJWrJDats257a23Sr/+atbVbNPG/b1jY6Xff8/+s6Agz76zZaXKsnJva1kmtA0KMjvF79plRnG+8YYJS2++2exYn90o2Lyw2aQHHzRrpk6cKP31l7n38OHSyJFmlCoKhi//JkqOEN1wQ6gkyek0S0D4u9OnpWbNzDl9AgAAAADIjuVyuVy+LqKoOHjwoI4dO6YTJ06oWca/UctsaOLpKKszZ87ozJkzmT8nJiaqevXqmjFjht+s5wd4Kjk5WX369NGJEycUHh6eY7vExERFRES4bedPkpKSFBYWJskuyazLW5QCwHP1SU6n0+30/kuVmpqquXPnSpJuvfUulSkT+Pezi06feAt/HwAAAACQd0yf/9uGDRvUokUL3Xnnnbruuut066236sMPP5QkWZYlT7PjcePGKSIiIvOoXr26N8sGAAAAAAAAkEdMBJbZpOTOO+9U165d9eCDDyo9PV1DhgzRq6++qu3bt+vJJ5/MDEbdjRgdNWqUBg8enPlzxkjRzp07F4kRPAMGSP/7n9Spk1mTMycffSTNmCHVqiXde6/7+6ammg2QkpOzvn/ZZcf03HOLs7/oPLt3t9Xp0252dXIjLU3asUPauNG8ZuTY1apJjzwiNW5spuDn1759ZjfrEyfMxk8Z67Qi/xITE31dAgAAAAAA8EOEopJ27twpy7I0YMAA1ahRQ5I0a9YsPfvss5o/f74cDocGDx7s0RT64OBgBQcHX/R+YGCgAovAYpS33y699Za0aJHZTCinaaUtWpi1On/7TTp0SCpfPvf7BgRIDRtKiy/IP1NSPPvOLlegXK5L6x+bTbriCnM4nSYcXbpU2rnTrAdapYp0yy1mzdRKlfJ+/xo1pOeekx57TFq40PTlZ5+ZjayQP0XhbwIAAAAAAPgfps9LCgkJ0enTp7V3715JZm26ChUq6JlnnlFMTIw+/fRTrV+/XpI8nkZfVN1yi1SnjnTsmPTuuzm3q1FDatrUjLb88kuzG707zZoVnYAwLMwEuwMHmrqCgqT9+813vu8+afBg6fvvzYYseXHFFdLzz0t2u/Tjj2aDp79/bQAAAAAAAFBMEIpKqlq1qoKDgzVz5kxJZvRaWlqaIiMjNWHCBO3Zs0dz5syRJI83XCqqgoOl114z53PnmmnmORk82Oy0vm+ftGqV+3uHhEj335/1vcTEUjp7Nvdfs/R0m1JTS7l/QD6Ehkrt20tDh0p33mmWA5CktWulF16QOneWJk2Stmzx/J4NG0qvvmpGz27ZYsLXdeu8UT0AAAAAAAC8wS/nrh48eFA7d+5UcHCwqlevrqioKE2dOlWdO3dWjRo19MQTTyggIEAul0vlypXT7bffrm3btvm67AJz221S167SJ59IU6aYgM+WTW5ZqZIZaTllipkufsUV7keCRkZK//iH9Pbb5ucjRxwaNKi9wsPPKigoNXN90d2722ZOl09NLaXUVO9uD12qlNSggTmOH5fWrzfHsWPSggXmuP9+6aGHPFt39PLLpWnTpBEjpN27peuvN1Ppb73Vq18DyEaKRo06q1KlSikoyNe1FA1BQdLo0efOAQAAAAC4kN+NFN24caNuvPFG9e7dW3feeaeefvppnThxQu3bt9crr7yi0aNH68knn9TJkyczR4UeOnRIFSpU8HHlBevll83Izs2bpW++ybldp05mZGRqqplG78nqAVWrminqGY4ccWj37rLau/dconr6dNnMw9uB6IXKlJFuuEF69FGzrmqDBub9mTOliRPNhk2eqFDBBMrXXiudOiV16GA2pwIKV4qeeCJFY8aY8B+mH8aMEX0CAAAAAMiRX4WiO3bs0E033aTbb79dX3/9tR599FF9//33cjqdkqT+/ftr+vTpmjRpku655x716NFDDz/8sL777jsNHDjQx9UXrGrVzKZBkvTmm2ZH9ezYbGbqeUCAtGeP9Msvnt3/iitMoFqUWZZ02WVmWn2nTubnr7+WnnzShJyeCAuTJkyQbr7ZrLv60EMmiCnmS88CAAAAAACUaH4Vir733ntq06aNxo8fr9q1a2vIkCGqWbOmNm/erPj4eO3fv199+vTRypUrVbduXZ06dUqWZWnFihWKjo72dfkF7t//lqKjpcTEc9Pds1O1qvSvf5nz777LOUC9UKNGZkRmhmrV8l+rtzVqJHXvbsLfFSukIUM8/55BQdKoUVLPnubnZ56RHn5YSknxXr3AOZa2bLG0ebNnG6L5g/R0MwqePgEAAAAA5MSv1hR1Op3at2+fjh8/rjJlymjs2LFavHixDhw4IMuydObMGX322We65ppr9PLLLyswMFCpqakKDCyZ3RQUZNbFvOEGs6Zm+/bS1Vdn3/bOO6UlS0zIMH++1KOHZ2tv3nCD2eF9y5aiv95mvXpSr17SrFnS1q1mev2LL5q1Vd2xLLOWalSUWYN1xgyzdukHH5jNrQDvCVWzZnZJktMpOQp3NYoi6dQpqX59c06fAAAAAACy41cjRevVq6e0tDR16dJFDz/8sJ555hl9+umniouL08yZM1W3bl1NnjxZZ86cyVxPNCAgwMdVe1fr1tKDD5rp3lOm5LyeZkCANHy4mU6/Y4fZpMgTlmU2dho8WKpYscDK9prq1c0oz4gIad8+acAA83091amTWZYgKMhsvHTnnZ5PxQdKqqSkJLeHizUnAAAAAACFyK9C0UceeUT/+Mc/1KFDB6WkpGjQoEG64447FBkZqYYNG6pChQpKSEhQcHBwZhhqeTIcsph78UWzNub27WYzpZzUqGFGQ0pm7c2TJwunvsJWoYJZG7RiRenoUal/f8/XUpXMTvTjxpkRol9/LXXsaEarAf4qKipKYWFhuR6tWrUiGAUAAAAAFBq/CUXT/15Yrm/fvhoxYoTKly+vxMTELG2Cg4NVtWpVpaSk+NW/nEdFmc2CJOmdd6RDh3Ju262bmWZ+9qw0b17J3VAoPFzq08dsxJSSYjabeukls/6qJxo3NmGz3S4tXmyC0p07vVszUJTY7XbFxsZ63D4+Pl7JyclerAgAAAAAgHP8JhS12bJ+1TJlymjZsmX68ssvtWLFCj355JP65JNP9NhjjykoKMgvRoie75FHpObNpaQkafLknMPOgABpxAgzjX77dmnVqsKtszCFhEj33y81bGh+njfPhMLr1nl2fYMGpi/LlpU2bjT3+eYbLxULFDGWZSkuLk5OpzPXIyEhwdelAgAAAAD8kN+Eohd6+umnValSJf3rX/9Sz5499dVXX+mHH37Q1TntNFTCBQSYzYGCgqSVK6Vvv825ba1aZkq5ZHajz8uam8VNYKDUpYvUu7eZVn/mjNmZfvFiz66/8krpzTfNBlZOp9Shg/TCCyV3hC1wPsuy5HA43B4AAAAAABS2EhWK7t69Wy+//LKGDBmiOXPmZNvG5XJlTqVfuHCh5syZo08//VTffPONGmYMCfRTV10ljR1rzqdOlY4cybntXXeZkaVpaWa39h9+kP7u1hLpssukf/7T9FF6uvTss9Inn3h2bYUK0ssvm02YXC7piSeku+8uuWuyAgAAAAAAFHUlJhTduHGjWrdurQULFmjFihXq0aOHJk6ceFE7y7Jks9n0119/SZJatWqlhg0bqmJx2Bq9EAweLDVqZKbRf/99zu0sywSDnTqZn+PipPffL9kbCgUFSV27Sk2bmp//8x/pjTc8C4NLlTJ9O3TouZ3pmzeXfvvNuzXDH6To3/8+m/m7BdMPQ4eKPgEAAAAA5KhEhKJ79+7VXXfdpR49eui7775TfHy8pk+frsmTJ2v79u0XtR8zZoyeeOIJ7dq1ywfVFm2BgWaDIUlavjz3thlB3xNPmOv27DEh4e7dXi/TZ2w2qX176aabzM9z5kjPP282nvJEx47SlClS+fLS1q1mQ6Yff/RaufALKXr++RRNnGj+JmH6YeJE0ScAAAAAgBwV+1A0PT1dH374oerUqaPHH388c0Olpk2bKigoKHOq/Pnsdrvi4+NZyy4Ht99uXjdt8my39XbtzK71NWuaEabvvy/99FPJXTfTsqSWLaU77jDnP/wgjRzp+SjZq68264zGxJj+uu02ackSb1YMAAAAAACA8xX7UNRms6lFixZq2LChIiIiMt+Pjo5WYGCgDhw4cNE1w4cP1/LlyxUVFVWYpRYbNWtK9eubaeErV3p2TY0a0uuvm4DP5TIbEc2aZUK/kuqaa6SePc0o2bVrpX//Wzp82LNrIyPNKLamTaXTp02//fCDd+tFSWVp715Le/aU7HV98yI93Yxcp08AAAAAADkptqFoWlpa5nnr1q01btw4SWYjpQyWZSklJSXz50WLFmWuJVqmTJnCKbSYylgrdMUKz68JCZFGjJCGDze72e/caUZE/v67d2osCi6/XHroIcnhkHbtkgYONEGMJ4KDzcZWzZqZXe07dJAWLfJquSiRQhUdbVetWtKpU76upWg4dUqqVUv0CQAAAAAgR8UyFN22bZumTJmSZRRoRhhqWZZSU1N16tQpBQQEKDw8XJL0+OOP6+abb86cTm9ZVuEXXoxkTKFfuVJKTc3bte3bS2+9JVWvbnZYf/ddMwpy3bpzbX78Ufr2W2n+fOnzz6WPP5Zmz5Y+/bT4hRiVK0sPPyyVKyclJEiPPCJt2ODZtaVKSc89ZzZdyghGFy70br0AAAAAAAD+rtiFojt27FCLFi00bNgwvfbaazr893zl80NOm82mgIAAuVwuBQYG6rnnntOrr76qlStXqkqVKr4qvVhp3txsBpSUZALLvKpd22y6dNNNZjp9XJz09dfnPl+2zIxC/eUXaf16acsWaft2s46puw2eiqKyZc2I0WrVzKZLgwebKfWeKFVKevZZqUULc+3tt0s//+zdegEAAAAAAPxZoK8LyIukpCSNGzdOnTt3VtOmTTVw4EClpqZq+PDhKl++fGY7m82mkJAQhYeHq1+/flq/fr3i4+PVpEkTH1ZfvAQESE89ZdbJfOstMwryllvydg+73exM37ix2UgoJOTcZ7ffLgUFmfeCg82xevW5sPS668z1heHwYTPlvX79rDXmld0uPfigCZG3bzfLCEyaZNYedadUKWnMGNPnP/8s3Xqr6Y/LL89/PQAAAAAAAMhesQpFbTabGjdurHLlyql79+4qX7687r33XknKEoympaXpxIkT2rVrl5xOp9auXauYmBhfll4sPfqotHev9NJL0osvShERZgRpXliWmU7fvr0ZMXrokHl/wADz2fm6dDFTz3fsMOFou3YF8z1ys2eP9L//mfMFC8zI1mbNTEiZH0FBUrdu0pw55nsMHWr6z5Nfv1KlpNGjpUGDTKjavr3ph/PyfgAAAAAAABSAYjV9PjQ0VL169VL37t0lSd26ddMHH3ygSZMmacKECTpy5Igks75oenq65syZo/Xr1xOI5pNlmR3S779fSkszIxm3bPHe82w2MwVdMmuZOp3ee5ZkvktGIJph0SLp1VfNaM28rqWaITDQBKO1a5t7DB4sbd7s2bV2uzRunBQVZYLRLl2K3xqrAAAAAAAARV2xCkUlyeFwSDKjQV0ul7p3767Zs2dr8uTJmjBhgvbv36/hw4erb9++atWqlaKjo31ccfFms0n//a90223S6dPSqFFm9Ki3XHeddNVVJkxcutR7z1m9Oue1UpOSzPqnU6eazaH+3psrT4KCpHvvNbtfp6ZKjz3meaBcrpw0YYIUFmZGij7wgAmlAQAAAAAAUDCKXSiaISAgQJKUnp6ue++9Vx988IGmTJmiG2+8Ua+++qqefvpp2QtrUcoSLijIBIjNmkmJiWatzIxp8AXNss6NFl21yjyvILlcZn3TBQvctz1xQvriC+n1102g6XLl7VlBQdJ990k1a0opKWZa/G+/eXbtZZdJY8eae3z6qZmGD2QvVf/8Z4r69zejlGH6oX9/0ScAAAAAgBwV21BUMjvOW5aVOWK0VatWOnTokNauXauGDRv6urwSJSzMBIn16kkHD5pgtKADywyNG0sNGpgRmj/9VHD3TU833+HHH/N23eHDJhSePl3auTNv12YEozVqmGD0//5P2rbNs2uvuUYaOdKcT5kijR+ft2fDX5zVyy+f1X/+YzYsg+mH//xH9AkAAAAAIEfFOhSVTDCanp6uwYMHa/HixVq8eDFriHpJ+fLSt99KVaqYDYqeeMJMqS9o548WXbNGOnbs0u+Zmip98on0yy/5v8eBA9LMmVJcXN6uK1VK6tFDql5dOnvWbGC1Y4dn1954o9SvnzkfNcqEPIC/crlcSkpKyvHIkJSUJFdeh3YDAAAAAPxKsQ9FM0RHR2vNmjVq0KCBr0sp0S67TPrmG8nhkDZtOrf50pkzBfuca66RmjQxU9YvdbTo6dPSrFnS1q0FU9sPP+Q9GA0Olnr2lKpVM8HowIGejzrt1s2sKyqZ6y7cHAo4dMgcxT0HzC3wdDqdatSokcLCwrI9oqKiMu8TFRWl667rpIMHXcW+TwAAAAAA3uH11dZWrlyp5s2be/UZAQEBeuihh2RZllefAyMmxmxE1K6d2SV+5UqzIVOtWtKVV0pXXCHFxpoNgy7FQw+ZDZHWr5datszf/ZxOM7ozIeHSarnQDz+Y15YtzchWT2QEozNnSn/+KQ0YYNYrrVXL/bV9+kjJyWZ90YceMqF01675rx8liV21apkN6JxO87tRXJ0fbF6aUP3883xFRRX/PgEAAAAAeIfXR4rec8893n6EJBGIFrJWraTvvpM6dpQqVjTrde7cadbsfPlls/P6hAnS7t35f8ZVV0nXX29Gvy1YkL9d4H/4oeAD0fPv/cknJqz0VEiIdP/9UuXKZnRtv36erTFqWSZE7dDB9EOPHp6vTQoUZXa7XbGxsR63b9iwoU6ePCmn05nlSMjhDz230adMswcAAAAA/1UgI0W7deuW7fsul0tHjx4tiEegCLrhBnO4XNIff5hRnatXm7BwxQozzf6bb6TmzaXu3aX87H31yCPSzz+bcPWnn6Q2bfJ2fbVq0tq1eX+up7ZskX7/XerSRapTx7NrQkLMdPhZs8yI0f/7P+mNN8wu9bmxLGnwYLPR1erV0r/+JS1a5PlIVRQfLpdLyW7S9vPX0CzOLMtSXFyc2++bwW63Z/sfwVJTU7NtHxVVUVLO946NjVVcXBz/YQ0AAAAA/IzlKoBhMpGRkXr//fcVFhaW5f2MXeFzGsHjDxITExUREaETJ04oPDzc1+UUmhUrpMmTpblzz43w7NgxVQ8+OFeSVKHCXbIszzL577+XXnjBnN9/v3T55Z7X4XJJ779/aSNWPdW0qXTzzWbHeU+cOSO99560f7/ZxOqVV8wmVu4cOGCm0585I82YIfXufUll+5Snfx/+9HfkcrnUsmVLLVu2zMMr7JJMQOrPU8VTU1M1d67558trr/1XS5d+8/cnDuUWikqS0+mUoxh3nD/9fQAAAABAQSmQ6fNt2rRR6dKldcMNN2Q52rRpw8ZHfuq666SPPzZTvPv1M2uOLlyYv3vdfLN0++3m/OOPpcREz6+1LKlTp/w9N69WrZLefNOM/vRExhqjFSpIhw9LQ4eazXLcqVxZ6tXLnP/7355dg+IjOTk5D4GodN11LbxYTfE0b968zPOEhIMXTbXPbbo9AAAAAMA/5CsUHTt2rL766qvMf6mcO3euWrdunW3b77//Pv/Vodi7/HJp2jRpyRIzlT3Dhx9KaWme3+fRR6W6dc3oyE8+ydu1ZctK7dt73v5SHDkivf22+b6erIFqt5up9JGRZgTo0KHS8ePur7vnHql2bRMQDxlyqVWjqEpISMg20Dv/4J+xFzt/KrzD4cjxAAAAAAD4r3yFok8//bQ6deqkKlWqqGrVqurUqZPGjBmjL7/8Un96OkwOfqVVKzOlPsP//mfCvIMHPbu+VClp9GgzNX3fvryPOm3aVLrssrxdcyl+/NHsFJ/DModZlC5tgtHwcLM+6fDhZhp0bgIDTYBqWWZ5gPyOwkXRllugl3GwFiYAAAAAAHmXr1C0adOmqlq1qp588kmNHDlS5cuX19y5c9W1a1fVqFFDlSpVUocOHQq6VhRzZcqcOw8Oltavl/7xD7OBkieqVpWeesqcr1iRt93XLUvq3Nnz9gVhyxZp9mwzutWdMmWkBx80mzBt3y6NHCmdOpX7NVddJd1xhzn/17/ct0fJFBhollPo1cucgz4BAAAAALiXr1B05cqVevbZZzV9+nQtXLhQTz75pDZs2KCTJ09q2bJlGj16tKqdP1cauMDKlVKTJtLJk2YE6KRJnoV6rVpJXbua83nzJA83rJZkpqjfckv+6s2v3bvNZkqebBRerpwJcUqVkjZvNgHw2bO5X/Pww2aTpp07peefL5iaUbwEB0vvvmuO4GBfV1M00CcAAAAAAHfyvdFS7969tW3bNtWrV0+NGjXSqFGjlJaWpubNm6tfv3566623CrJOlDB16kjx8WZEpGVJCxZIjzzi2ejPf/xDqlHDTDH/+uu8Pbd586xrmxaG/fvNLvEnTrhvW6mSmUofGCj98ov07LO5T8F3OKT/+z9zPn68CVMBAAAAAACQu0vafT4sLEwvvviiVq9erU2bNqlOnTp67733Cqo2lHClSknjxkmLFpmp8fv2SQMHSr/9lvt1wcHnwtRNm/IWBNpsUpcul1Z3fhw5Ir3zjmc7xVerJvXoYWqNjzdhZ24bS7VqJcXGmjZ9+3q2wRNKDpfLjEROSjLnoE8AAAAAAO5dUigqSampqTpz5ozuu+8+VatWTX369NHRo0cLojafOHnypK9L8Dtt25r1RVu3llJSzKhKd666Srr/fnM+b57Zhd1T5ctLN92Uv1ovxcmTZoMpT0aM1qolde9ugt9Fi6QPPsi9/f/9nxQaKi1bZkaXwn8kJ0thYebIy3ISJRl9AgAAAABwJ1+h6Pjx49WzZ081aNBAdrtd119/vaZNm6ZmzZrprbfeUkREREHXWSg2b96sW265Rd99912+73HmzBklJiZmOeBeuXLS22+b0ZErV0obN7q/5oEHpLp1zUZGn32WtxGS119f+NPoJTNyzdPNl664QurUyZzPmJH7CNqKFaVHHzXnzzwjzZp16bUCAAAAAACUVPkKRR9//HEtX75cd999tzZt2qTExEQtXbpUU6dO1cMPP6yAgICCrtPrNm/erJYtW6px48aqUaPGRZ+7PJyDOW7cOEVERGQe1atXL+hSS6y6dc3GQZI0fbr7aa9BQdLTT5v1N/fskZYu9fxZNpt09935LvWSHDwoffKJZyFuw4bSlVeatk8+mfv0+/btpXvvNed9+pip9wAAAAAAALhYvkLRVq1a6ciRI3rmmWfUuHFjxcbG6tFHH9WMGTO0fv16peW2AGIRdPr0aY0YMULdunXT1KlTVa9ePe3cuVM//fSTnE6nJMmyLI+C0VGjRunEiROZx759+7xdfony9NNmrdGNG82IUXeqVZOGDjXnS5aYdUk9VaaM74LRHTvMJlHufqUsy6yBWqGCdPiw9MQT0qlTObf/5z/NGqMpKVLHjmZXegAAAAAAAGSVr1D0xx9/1IkTJ/Tbb79p+vTpio2N1datWzVkyBBde+21CgsLU7NmzQq6Vq9JS0vTwYMH9fDfwxRvueUW3XvvvWrTpo06dOigSZMmSTLBqDvBwcEKDw/PcsBz1aqd20397bc9G015yy1Su3YmYPz0U+n0ac+fV7++GY3pC6tXexb8hoRI991nXrdvN5tT5dQvNps0apSZen/ihHT77dKxYwVbNwAAAAAAQHF3SRst1a1bV/fee69efPFFLVy4UEePHtXOnTv13nvvqV27dgVVY6FITU1VQkKCHnnkEQUGBuqtt97Spk2bdOWVV2ru3LmaxSKNhWbkSMnhMKMcFy92396ypEGDpCpVTBA4b17edpy+5RbzPF/49lszatSdsmXP7UgfF2d2ss9JaKj0/PNmdOmvv0pdu5qRowAAAAAAADAueff5C9WqVUv33HOPXnjhhYK+dYFKSEjQkSNHJEkBAQEqU6aMPv30U506dUqDBg3Stddeq6uvvlqTJk1SRESEFixY4OOK/Ue5ciYYlaT//ldKTXV/jcMhPfWUCUi3bJHWrvX8eaGhZj1OX5k1Szp+3H276tXNVHrJbNb0zTc5ty1fXnrhBfPdfvhB6t8/b0ExAAAAAABASVbgoWhxsHXrVrVr105ffPGFJCkkJETPPvus5syZo5kzZ+qvv/7KbBseHq5bbrlFu3fv1tmzZ31Vst8ZNMjsqL5/v/TVV55dc+WVUt++5vyrr3LflOhCV19tppz7yscfexb+Nmhg1gyVpIkTpfXrc25bp44Jim02sxTB5MkFUyuKloAAMxq4a1dzDvoEAAAAAOCe34Wi69evV5MmTbR582bNnDkz8/2WLVvqjTfekN1u18cff6xff/0187Pt27erVq1astn8rrt8JizMbCokSe+95/k6od26SU2aSGlpZn1RT4JGyYww7dAhf7UWhP37cx/5eb62bU2Im54ujRgh/flnzm1btDCjRCVp+HDps88uvVYULSEhJlT/+GNzDvoEAAAAAOCeX6V869evV4sWLTR06FCtWrVK27Zt08cff5z5+b333qu33npLixcv1j/+8Q/ddddd6tOnj2bPnq1Ro0YpMDDQh9X7n0cekS67TDpyxPMwL2OjoZAQKSFB+u47z58XEeHbafS//CKtW+e+nWVJd9xh1lA9c8Z835Mnc25/112mvctlNmz65ZcCKhgAAAAAAKCY8ptQdN26dbr++uv12GOP6ZlnnlGVKlVUtmxZ/fDDD5ltgoOD1aNHD61atUrXXXedgoKCFBYWpvj4eMXExPiwev8UHCw984w5f+89afNmz66LjDx33apV0o8/er6eZpMmUrVqea+1oHzxhXTqlPt2QUHSvfdK4eHSvn2mf3JiWdLAgVKzZiZEzRg5CgAAAAAA4K/8JhR95ZVX9Oijj+r555+Xy+VS5cqVNXz4cL377rtavnx5Zrv09HRdffXVevHFFzVnzhxNmTJF0dHRPqzcv91/v3TzzWb6/IgR0rZtnl3XrJn00EPmfMkSaf58M93cHZvt3GZGvrJhg2ftSpeWbrvNnC9blnvwGxBgglFJ2rSJTZdKkqQkE3xbljkHfQIAAAAAcM9vQtEZM2Zo/PjxWd6LjY1VgwYN9M3fizmmpaVlrhtqWZYksY6ojwUEmKnzLVuacGPYMGn3bs+ufeAB6f/+z5yvWSN99JGUkuL+uvLlpX798l/zpVq92vPQ8vLLTZC7f7/0xx+5t42KMiFRcrJ0+PCl1wkAAAAAAFBc+UXi57ogYcoIPGvXrq2WLVvqzTffVHJysgLO26Y4o03GK3zH4ZAWLJCaNpUSE6UhQ8yUcU/ceaeZSm+zSb/9ZqaZJye7v65iRTPNPCzs0mrPj8OHpd9/96xtqVJSzZrmfOVK923LlTPne/bktzoAAAAAAIDizy9C0eyCzfS/51IPHTpU4eHhmjRp0kXhKYqO8HCzO/s110jHjplgdP9+z65t3VqaMsWEgn/8If33v9Lx4+6vq1BB6tXLTFMvbKtXe962Th3z6i4UlcxoUYlQFAAAAAAA+De/CEWzkzEtPjIyUk2bNtVXX33FqNAiLjLS7CZ/1VXSoUPSv//t+YjKmBjpzTfNCNAjR6R33pH++sv9deXLS717m1C2MG3a5PlaiHXrmtc1a9xv0lSpknklFAUAAAAAAP7Mb0NRyUyrDw4OVr9+/bRnzx4dPHjQ1yXBjYoVpR9+kKKjzTTzf/9b2rnTs2tr1pSmTpVq15acTjNidNcu99dFRppgNCLiUirPu7VrPWtXrpxUpozZSGrdutzbZowU3bv3UioDAAAAAAAo3kpUKLp79269/PLLGjJkiObMmZNtm/OnyFuWpfT0dDVp0kRbtmxRxYoVC6tUXIJKlcyO8tdea6bBP/aYWS/UExUqSK+8IjVsaDZdmjXLs93ey5Y1u9lfdtklFJ5Hv/zi2YZLlnVuCv2KFbm3ZaQoAAAAAABACQpFN27cqNatW2vBggVasWKFevTooYkTJ17ULmOK/OG/t9+22WwKCQlRZGRkodaLS1O+vBkxet110smTZo3RjRs9uzYsTJowQWrTxoyu/Owzadky9wFkeLj04IPmusJw/Ljno2AzptCvXJn79yAULXkCAqQOHcxx3l5xfo0+AQAAAAC4UyJC0b179+quu+5Sjx499N133yk+Pl7Tp0/X5MmTtX379ovajxkzRiNGjNAuT+ZOo8gqU8asMXrDDWb9zeHDzbqanihVSnrqKalrV/Pz99+bkNVdMGqzmef16VM40+l/+cWzdjVrmtoSEnKfGn9+KMq+YiVDSIi0YIE5QkJ8XU3RQJ8AAAAAANwp9qFoenq6PvzwQ9WpU0ePP/545gZKTZs2VVBQUOYu8+ez2+2Kj4+Xw+Eo7HJRwEqXlr76SrrlFun0aWnUKM+DRJtNGjBAeuQR8/PSpWZavidq1DDXXXVVvsr22K+/Smlp7tuVKmXWSpVMf+QkY03RpCSz4RQAAAAAAIA/KvahqM1mU4sWLdSwYUNFnDd0Lzo6WoGBgTpw4MBF1wwfPlzLly9XVEZChGLNbpe+/FK6/Xbp7FnpiSc836RIku69Vxo40Jz/9JO0fLln14WGSvfcY6boektEhAlvPdG0qXn9+uucd6EvVcosAyBJ2fxpAAAAAAAA+IViG4qmnTd8rnXr1ho3bpykizdSSklJyfx50aJF+uuvvyRJZcqUKZxCUSiCg6VPPjEB5Zkz0uOPu9+J/Xx33y09/LA5/+47z6fhW5YJIx94IM8le+Tqq80zPFG3rtkQyumUFi3KuV25cuaVULRkSEqSHA5zJCX5upqigT4BAAAAALhTLEPRbdu2acqUKVlGgWaEoZZlKTU1VadOnVJAQIDC/x4W9/jjj+vmm2/OnE5veZo0odgIDpY+/VS67bZzU+k92Vk+Q8+eUvfu5nzePGnTJs+vrV1b6t/frHNakOrX97xtRkArmc2jcloztFo18/r995dWG4qO5GRz4Jy89ElSUpLbw8UivAAAAABQohS7UHTHjh1q0aKFhg0bptdeey1zF/nzQ06bzaaAgAC5XC4FBgbqueee06uvvqqVK1eqSpUqviodhSAkxASCN99sgtGRI6XffvPsWssy64R26mR+njtXymafrhxVqGBGm1atmve6s1O2rFS5ct6uadhQCgyUdu3KORBu3968vv02o+gASYqKilJYWFiuR6tWrQhGAQAAAKAEKVahaFJSksaNG6fOnTtr6tSpGj9+vF588cXMYDSDzWZTSEiIwsPD1a9fP40dO1ZLlixR04xhdCjRQkKkL76QbrzRrK355JPSoUOeXWtZ0r//Ld10kxlpOWeO2andU2FhUu/eUuPG+ak8q7xMnc8QGio1aGDOP/ss+zbNm0tVqkjHj0uzZl1SiUCxZbfbFRsb63H7+Ph4JTMcFwAAAABKjGIVitpsNjVu3Fi33Xab+vfvrw8//FCTJk26KBhNS0vT0aNHtWvXLq1Zs0arV69WkyZNfFg5CltoqBnpefXV0uHDJhg9fdqzawMCzAjT6683O7/Pni3t3+/5swMDzaZPd92Vv9oz5GXq/PmaNTOvP/2UfRhss0l33mnOX30152n2QElmWZbi4uLkdDpzPRISEnxdKgAAAADAC4pVKBoaGqpevXqp+98LP3br1k0ffPCBJk2apAkTJujIkSOSzPqi6enpmjNnjtavX6+YmBhflg0fiYgwa4NGREjbtknjx0t/LynrVmCgNHq0dO21UkqK9N570sGDeXt+TIxZZ7RChbzXXq6cFBWV9+skc91ll5mwc9687NvcdpsZUbt5s7R4cf6eAxR3lmXJ4XC4PQAAAAAAJU+xCkUlZf4Lalpamlwul7p3767Zs2dr8uTJmjBhgvbv36/hw4erb9++atWqlaKjo31cMXypdm0TDAYGSj/+KL37rufXlioljR0rXXWV2dH+/felY8fy9vwKFaR//OPclHZP5Wfq/PkyVoqYP186e/biz8PCTDAqmdGiAAAAAAAA/iTQ1wXkV8ZGSunp6br33ntlWZYeeOABffnll9qxY4dWr14tu93u6zJRBLRqJU2fLvXpY4LNGjWkdu08u9ZuNyNMH3vMbF703nvSAw9IkZGeP79UKemOO8zozZxGbl4ov1PnM1x5pVS6tAlxf/zRbDx1oTvvlD7/XPryS2n3bqlWrUt7JtxzuVxu16VMyuPuVzabdMMN585BnwAAAAAA3CvW/7poWZYsy8ocMdqqVSsdOnRIa9euVcOGDX1dHoqQ3r2l4cPN+YQJJij0VHi4NHGi2VX++HETsOZ1mUHLkho1MrvbuwtUK1SQKlbM2/0vFBAgZSyj+9132bepUcO0cbmk//730p4H91wul1q2bOl2l/OoPK6bEBoqLVlijtBQr5Re7NAnAAAAAAB3inUoKplgND09XYMHD9bixYu1ePFi1hBFtsaNk+69V0pNlZ59VvrmG8+vjYyUpkyR6tY1GzbNmJG3zZcyVKok/fOfUr162X9esWL2ozrzo2pV83r0aM5t2rY1r3kJiZE/ycnJWrZsmcftY2NjGe0OAAAAAICXFNvp8xeKjo7WmjVr1CCvizfCb9hs0syZksMhvfOOGTF66tS5ndjdKV9eeuklM+J061azPukDD0jVq+etjpAQqVs3adEic5/q1c3ap7VrmynvBSUkxLzmNhs7478f/PyzWTc1OLjgno+cJSQkuN3Ax263y7qUhWUBAAAAAECOSkQoGhAQoIceeogAAW4FBJjp76VLm5Gfr74qJSdLPXt6dn1YmDRpkjRqlLRhg1ljtGdPqWbNvNVhs5kRoQU1KjQ7GQFnbqFotWpSmTJmWYBffpGuv9579eCcgtzVPCnp3O/fnj0m9Pd3SUlSnTrmnD4BAAAAAGSn2E+fz0AgCk9Zlhnx+fTT5ue335beesusrekJu92MMm3SxEzFnzlT2rHDe/XmV0Yompyc83ezrHOjRZcuLZy6UPAOHzYHzqFPAAAAAAC5KTGhKJAXliU984zZQEmSPvhAmjxZSkvz7PqQEOn556UWLcw1H3wg/fqr9+rNj4xQND3drIOak4yd7glFAQAAAACAvyAUhV8bOtSMErXZpAULTFB69qxn15YqZdq3bm2Cx48+kjZv9m69eREUZMJfSXI6c26XMVI0Pt58DwAAAAAAgJKOUBR+75//lD7+2ISIcXFmI6XcQsTzBQWZafjt2pkp6p9+Kq1f7916PWVZWafQ56RuXdPu6NGiN9oVAAAAAADAGwhFAUl33SV9+61ZL3T9emnQIBMSeiIgQBo5UurY0QSjn38urV7tzWo958kO9IGB0lVXmXOm0AMAAAAAAH9AKAr8rW1bEwqWLSvt3Ck9+qj055+eXRsQIA0eLN15p/l5wQJp0SLfT0f3ZAd6ic2WAAAAAACAfyEUBc5z7bXSzz9LtWpJ+/dL//639Pvvnl1rs5kgtUcP8/PSpWY6fWqq9+p1J2NN0VOncm93xRXm9ZdfvFsPCp7NJjVpYg4b/0SXRJ8AAAAAANzjXxeBC9SpYzYdql9fOnLETKXfvduzay3LrFH6+OMmjNmyRXr/ffehpDccPy799Zc5zwg9c7Jrl3mtU8erJcELQkOlVavMERrq62qKBvoEAAAAAOAOoSiQjcqVpcWLpYYNpWPHpMcek3bs8Pz6m2+WJk0yGzH9/rs0Y4Z04oTXys1WxoZPjRpJlSrl3nb5cvPaqZN3awIAAAAAACgKCEWBHJQvb9YFbdLEBJqDB0u//eb59ddeK73xhrnPoUPSO+9ICQneq/d8Lte5UPTWW3Nve+TIuV3nO3b0bl0AAAAAAABFAaEokIvISGnhQum666STJ6UhQ84FiJ6oXVv6z3+kmjXN9e+84/lU/Evx++9mhGtgoNSqVe5tV6wwr02bmhGyKF6Sk83vV82a5hz0CQAAAADAPUJRwI2ICOm776SWLc0u7sOH520qfcWK0muvSddcI6WkSDNnShs3eq9e6dwo0Ztvdr+m4rJl5pWp88WTyyXt3WsOl8vX1RQN9AkAAAAAwB1C0fOcPHlSx44d0549ezLfc+Xx36jPnDmjxMTELAeKv9Klpa++klq0MCM+hw7N24jPsDDpxRelNm2k9HRp7lyzmZM3ApuzZ6VNm8y5u6nzZ86c23GeUBQAAAAAAPgLQtG/bd68WXfffbduuOEGtW3bVuPHj5ckWZaVp/uMGzdOERERmUf16tW9US58oHRp6euvz60xOnSotG+f59eXKiU99ZTUtav5eeFCc7+zZwu2zl9/NSNSq1SRYmJyb7tmjQlGq1c3I1kBAAAAAAD8AaGopK1bt6pVq1Zq2LChhg8froEDB+qZZ57RJ598kud7jRo1SidOnMg89uUlNUORFxEhffut1KCBdPSo2Xxp/37Pr7fZpAEDpP79zc+rVkkvv2ym5x8/XjA1rltnXm+5xTwvNxm7zt9+u5TH/B8AAAAAAKDYCvR1Ab527NgxPfbYY+rdu7defPFFSVJycrKWLFmiVatWqWvXrnK5XB6PGA0ODlZwcLA3S4aPZWy+1KaNtGWLCUZfeUWKivL8HvfcI1WqZHan37/fhJMrVkhXXGE2dapZM3+1nThxblq/u6nzLte5UJSp8wAAAAAAwJ/4/UjRY8eOyeVyqU2bNpnv2e12XX311dq8ebMkKS0tzUfVoaiqUMEEo3XrSgkJ0mOPSX/9lbd7tGolvfee9MILZkq+yyX99pv0v/+ZzZjyej9Jioszrw0bmtA1N9u3S4cPSw6H1LZt3p8FAAAAAABQXPntSNGEhAQFBASodu3aeu6559SsWTNJJgANCAhQcHBw5ujQwEC/7SbkonJl6YcfzIjRnTulQYOkyZOlqlU9v0dAgNm8qUULs1P23LnS/Pnmfjt3mmn6bdtKZcpkvc7lkpKTpcTEc8fhw+c2Tbr/fvfPXrrUvN5yixQS4nnNKFosS7r66nPnoE8AAAAAAO75Zdq3detWdevWTY899pgeeughNW7cWJKUnp6ugIAASWa06NnzdsAZMWKEwsLC9NRTT/mkZhRN1apJP/0k3XijGeWZEYzWqJH3e112mRlx2q2b9M470uLF0oYNZif5Bg2ktLSsIWhOA5i7d5f+/pXOVUYoeuedea8VRYfdLv09qB1/o08AAAAAAO743fT59evXq0mTJtq8ebNmzpwpSZlBqO28XWmCgoIyQ9EnnnhCEydO1K3uFmmEX6pSRfrxRyk62ozWHDTo3Lqe+VG1qvT009Lrr5tp8OnpZvOkjRvNaNJjx84FomXLmnVIY2OlO+6Qhg6V/vlP98/4809To81mNlkCAAAAAADwJ341UnT9+vVq0aKFhg0bps6dO6tLly76+OOPdc8992S2ydhU6fTp0ypfvrwmT56syZMna/Xq1WrUqJEPq0dRFhVlRnbefLO0fr0Z8dm/v9Sunfsd4HNy5ZXSSy9JP/9sQtGyZaXy5c16phUqSOXKSUFB+bt3xijRtm3NfQEAAAAAAPyJ34Si69atU2xsrB577DE988wzOnDggMqWLasffvghSyiasY5oQECAPv30Uy1atEhLly4lEIVbFSqYNUZvvVVavVoaN0766COpb1+padP8rW1oWVLz5uYoSBkbMjF1vvhLTja/X5K0apWZOu7vkpPNOr1SwfZJUlKS2zZ2uz3z/0cAAAAAAEWX30yff+WVV/Too4/q+eefl8vlUuXKlTV8+HC9++67Wr58+UXto6OjVbVqVf30009q0qSJDypGcRQZadYYHTfO7Oq+c6c0YoQ0ZIj066++rs44elTassWcd+7s21pw6Vwu87/nli3mHN7rk6ioKIWFheV6tGrVSi7+hwAAAACAIs9vQtEZM2Zo/PjxWd6LjY1VgwYN9M0330gyO89naNu2rdavX6/69esXap0o/kJDpZEjzfqfQ4aYKe5r10r9+kljxkh//OHb+uLjTVDUpIlUvbpvawGKOrvdrtjYWI/bx8fHKzk52YsVAQAAAAAKgl+EoheO2smY2li7dm21bNlSb775ppKTkxUQEJDZNiwsTJGRkYVeK0qOcuWkSZOk7dulXr3MVPgff5R695ZeftmM2PSFFSvMK1PnAfcsy1JcXJycTmeuR0JCgq9LBQAAAADkgV+Eotmt75aeni5JGjp0qMLDwzVp0qTMTZaAgnTZZdK775oNmDp0MDvHf/ml1LOnNH26VNhZyp495jUPg98Av2ZZlhwOh9sDAAAAAFB8+EUomh3b31uCR0ZGqmnTpvrqq68IROFVMTHSggVml/pmzaTTp6XZs83I0blzpb9zeq9xuaTPPpMOHDA/16vn3ecBAAAAAAAUVX4bikpmWn1wcLD69eunPXv26ODBg74uCX6gTRszhf2TT8yu8qdPS6+9Jv3739K+fd555tmz0osvSq++asLRRx6RKlXyzrMAAAAAAACKuhIViu7evVsvv/yyhgwZojlz5mTb5vz1RS3LUnp6upo0aaItW7aoYsWKhVUq/JxlSXffLS1bJk2bZjZn2rRJ+sc/pA8/NFPsC8qhQyZw/eYbyWYz65y+/nrB3R++ZVlmiYbLLjPnoE8AAAAAAO6VmFB048aNat26tRYsWKAVK1aoR48emjhx4kXtMqbIHz58WJKZRh8SEsKmSvAJm83sSr91q3TzzWZE55tvSgMHSrt3X/r9N240o0J//VUqXdoEo0OGEBSVJHa7WSd2zx5zDvoEAAAAAOBeiQhF9+7dq7vuuks9evTQd999p/j4eE2fPl2TJ0/W9u3bL2o/ZswYjRgxQrt27fJBtcDFLrtM+vZb6Z13JIfDhJiPPCLNnCmlpubvnvPmSYMHS8eOmfVM160zwSsKnsvlUlJSktsDAAAAAAAUDcU+FE1PT9eHH36oOnXq6PHHH8/cQKlp06YKCgrK3GX+fHa7XfHx8ewWjCLFsqSHHpJ++026/XYpJcWEpP37S9lk+zlKSZFeeskcqalS165mmn7t2t6r3Z+5XC61bNlSYWFhuR5RUVG+LhUAAAAAAPwt0NcFXCqbzaYWLVro+PHjioiIyHw/OjpagYGBOnDggOpdsM328OHD9c9//lNly5Yt7HIBt6pWlb780uxMnxGI9u0rRURINWpcfERFSQEB5tqjR6XRo836pJYlPf+8NHIk0+W9KTk5WcuWLfO4fWxsrOwFOKf71CmpdWtz/tNPZn1af3fqlHTjjeacPgEAAAAAZKfYhqJpaWkK+DsJat26tVr/nQq4XK7MdUMty1JKSkrmNYsWLVJ0dLQqVaqkMmXKFHrNgKcsS+rZU2rXTnr0Uenjj6UTJ8waoRs3Zm0bFCRVr26OzZulw4fNFPyPPpI6dPBN/f4qISHB7Qh0u92e+c+ogpCeLq1efe4c9AkAAAAAwL1iGYpu27ZN8+bNU48ePVS5cmVJ58JQy7KUmpqqM2fOKCAgQOHh4ZKkxx9/XOPHj9cff/whSQUaSgDeEhVlws2kJGnbNrPW6K+/mo2Zfv3VvHfmjLRrlzkk6aqrpM8/l664wqel+yWHw8GyHAAAAAAAFAPFLhTdsWOHWrRooWPHjunIkSMaPHiwypcvnyXktNlsCggIkMvlUmBgoJ577jm9+uqrWrlypapUqeLD6oH8cTika681x/nS0qS9e8+FpS6X9M9/Sn//twAAAAAAAABko1iFoklJSRo3bpw6d+6spk2bauDAgUpNTdXw4cNVvnz5zHY2m00hISEKDw9Xv379tH79esXHx6tJkyY+rB4oeAEBZgOl2rWZKg8AAAAAAOCpYhWK2mw2NW7cWOXKlVP37t1Vvnx53XvvvZKUJRhNS0vTiRMntGvXLjmdTq1du1YxMTG+LB0AAAAAAABAEVGsQtHQ0FD16tUrc82+bt26yeVy6b777pPL5dLIkSNVrlw5uVwupaena86cOapWrZqio6N9XDkAAAAAAACAoqJYhaKSMgPRtLQ02Ww2de/eXS6XSz169JBlWRo0aJAmTZqkPXv2aObMmbLb7T6uGAC867zVQ/A3+gQAAAAAkJtiF4pmyNhIKT09Xffee68sy9IDDzygL7/8Ujt27NDq1asJRAGUeA6HdOiQr6soWugTAAAAAIA7Nl8XcCksy5JlWXK5XOrevbtatWqlQ4cOae3atWrYsKGvywMAAAAAAABQBBXbkaIZLMtSWlqahg0bpsWLF2vdunVsqgQA8JmkpCS3bex2uyzLKoRqAAAAAADZKfahaIbo6GitWbNGDRo08HUpAFBoTp2S2rc3519/LYWG+raeouDUKalTJ3Puiz6Jiopy2yY2NlZxcXEEowAAAADgIyUiFA0ICNBDDz3Ev1wC8Dvp6dKPP547h2/6xG63KzY2VvHx8R61j4+PV3JycubmgQAAAACAwlUiQlFJBKIAAJ+xLEtxcXFKTk7OtV1SUpJHI0kBAAAAAN5VYkJRAAB8ybIsRn4CAAAAQDFRrHefBwAAQN4cOnRIHTt2lMPhUL169bRo0aJ8te3bt68qV66s8PBwxcTEaN68eYVRPgAAAFAgCEUBAABKmN69e+vdd9/N9rMBAwaoUqVKOnTokCZOnKhu3brp6NGjeW47ePBg7dmzR4mJifrvf/+r+++/X0eOHPHWVwIAAAAKFKEoAACAn3A6nfr888/1zDPPyG63q3PnzoqJidEXX3yR57ZXXnmlgoODJZnlI86ePas///yzUL8PAAAAkF+EogCQA5fLpaSkJLeHr9nt5sA59Am8zel0avTo0brtttsUGRkpy7JyHJmZkzNnzmjEiBGqUqWKQkND1bx5c33//fdZ2mzevFn33HOPateuLbvdrvLly6t169b5nqq+fft2hYWFqVq1apnvxcTEaPPmzflq279/f4WGhqpp06a68cYbFRMTk6+6AAAAgMJGKAoA2XC5XGrZsqXCwsJyPXy9k7jDISUlmYM9fgz6BIXh8OHDevbZZ7V161Zdc801+bpH79699dJLL6lnz5565ZVXFBAQoA4dOmjp0qWZbfbu3auTJ0+qV69eeuWVV/TUU09Jkjp37qy33norz890Op0KDw/P8l54eLicTme+2k6bNk1Op1MLFy7ULbfcIsuy8lwTAAAA4AvsPg8A2UhOTtayZcs8bh8bGys7QxORB56MMrbb7YRMRVTlypV14MABVapUSatXr1bTpk3zdP3PP/+sDz/8UBMnTtTQoUMlSQ8++KDq16+v4cOHZ/7zp0OHDurQoUOWawcOHKjGjRvrpZdeUt++fTPfv/322zMD1eTkZH300UcaNGiQJGnkyJEaOXKkwsLClJiYmOV+iYmJCgsLu6hGT9sGBATopptu0pQpU1S3bt2L6gUAAACKIkaKAoAbCQkJcjqduR5xcXGEV8iTqKgotyORW7VqJZfL5etSi5w5c+aoUaNGCg0N1VVXXaWFCxfK5XIpOjpazz//fKHUEBwcrEqVKuX7+k8++UQBAQFZQs2QkBA9/PDDWr58ufbt25fjtQEBAapevbqOHz+e5f358+fr+PHjOn78uHr06KFp06Zl/jxy5EhJUt26deV0OrOs/blp0yZFR0df9Jy8tJWk1NRU7dixw6PvDwAAAPgaoSgAuOFwONwevgpET5+WOnY0x+nTPimhyCnKfWK32xUbG+tx+/j4eCUnJ3uxouLnySef1L333qtrrrlGkyZNUlpamh588EF99dVX+uOPPzRw4MAcr01JSdHhw4c9OtLT0736PdauXasrrrjiounpzZo1kyStW7cuy/tJSUk6fPiwdu7cqZdffllff/21brrppjw/NywsTF26dNHo0aN16tQpzZ8/Xxs2bFCXLl3y1PbEiROaPXu2nE6nUlNT9fHHH2vx4sVq3bp1nmsCAAAAfIHp8264XC5GfwEostLSpK++OneOot0nlmUpLi7ObdCZlJTk8/Vqi6K4uDg9//zzGjFihMaPHy9JqlSpkrp27aqRI0eqX79+ioiIyPH6+Ph4tW3b1qNn7d69WzVr1iyIsrN14MABVa5c+aL3M97bv39/lveHDBmiN998U5Jks9l01113aerUqfl69rRp09SrVy+VK1dO1apV05w5cxQZGSlJat++vVq1aqXHH38817aJiYmaPn26+vfvL5fLpTp16mj27Nlq2LBhvmoCAAAAChuh6Hn27Nmjb775RomJibr++uvVsmXLPAeiZ86c0ZkzZzJ/vnAtLgCAf7MsSw52gMqXV155RWXLltWTTz6Z+V5GcLljxw499thjuV5/zTXXXLS7e04uZWq8J06dOqXg4OCL3g8JCcn8/HyDBg1S165dtX//fn300UdKS0vT2bNnc7z/u+++m+NnFSpU0FcZ/+XgAl9//bVHbcPDw7V48eIcnwEAAAAUdYSif9uwYYNuvfVWNWjQQGvWrNHVV1+t1157TQ0aNMjTfcaNG6dnnnnGS1UCKAgul8ujkXpAUeDud9FfflfT0tL03XffqVOnTtluCtSnTx+3o2vLli2rdu3aeavEPAkNDc3yH1EznP57zYfQ0NAs71955ZW68sorJZkNmW75f/buO7zJsgsD+J100Q0tG8pGRikbGWUIqCwBPzYIspSlCDKUskFkIyCICiJL2UOWyFDAUmTI3rtQKJRCge6ZfH8c01JoVps0bXL/ritX3rZvkqehqfbOec559120bdsWx48f544WIiIiIqJMYCgK4MGDB+jYsSM++ugjTJ48GeHh4ahevTquXr2aLhRVqVRQKnW3YQ0ICMCIESNSP46MjISPj4/Z1k5ExlGr1WjYsKFRk+WJLInb6MXt27cRFRWFmjVrpvt8eHg4AOCTTz7Rex+JiYmIiIgw6PEKFCgAOzs74xdqoCJFiqQbYKTx8OFDAEDRokV13r5Tp04YOHAgrl+/jgoVKphljURERERE1oyDliDDDlxdXTFs2DDY2dmhcOHCaNKkCW7cuIGAgACsWbMGarUaSqVS7xRgJycneHh4pLsQkWnExMRk+RIeHm5UIOrv7w8XFxczfldErzN2IJMt0ISf+fPnT/f5GTNmZPj5jBw9ehRFihQx6KJr+rspVK9eHdevX3+tzc7x48dTv66LZnv9ixcvjH7s8PBwtGnTBq6urqhQoQL+/PNPo89NSEhAv379UKJECXh4eKBevXr4559/jF4LEREREZGlsFIUQHJyMqKionDy5Em0atUKM2fOxKZNm+Du7o6rV69i3759OHPmDL755htuUSOyIH2VU8YKCwvT29vRxcWFr3vKdoYOZAJkR4KpXxs5kWaA0sWLF1M/t3btWvz9998A0rad62KpnqKxsbG4d+8e8ufPnxredurUCXPnzsXSpUsxatQoABI0rlixAnXr1k3dZfL48WMULFgw3f0lJSVh9erVcHZ2RuXKlY1ezyeffILChQsjPDwcBw4cQJcuXXDjxo3UYUuGnOvk5IRSpUrhyJEjKF68ODZu3Ii2bdsiODg4w/YGREREREQ5jc2GoklJSbC3t4dCoUCtWrVQoEABDBs2DAsXLsSBAwewc+dOtGnTBmq1GlOnTsX27dsRGhpq9B+emspSDlyS8FnzB35kZCTs7W32x4/+o3ld6KvA1vf1zKhbty6cnJyQomc8eVRUlMkf25RebicZGZnzpq1nl1d/v2j+82YLz4nmZ9gcr5OcpFKlSihdujS+/fZbuLi4QKlUYubMmejSpQs2btyIyZMnY8SIEfDz89N6H6buKbp48WI8f/48dVL8zp07cf/+fQDA0KFDU4PcEydOoGnTppg0aRImT54MQH4Hde7cGQEBAXj8+DHKlSuHVatWITg4GMuXL099jIEDByIyMhKNGzdGsWLF8OjRI/z666+4evUq5s2bZ3QAGR0djd9++w23b9+Gi4sL2rVrBz8/P2zfvh19+/Y16tyJEyemntutWzeMGDEC165dQ61atYx+LomIiIiIsptNplKXL1/GDz/8gMGDB6NcuXLw8fHB5s2bcePGDdy+fRvPnz9H06ZNAUi1To0aNbBq1Sq94UlGNIEK+4oSaRcVFZUaHmj7uqkdP34cefPmNfn9WpINFAsazZaeE32vo9xOqVRi69atGDx4MGbNmgUXFxeMHDkSX331Fdzc3LB69Wq89dZbOkNRU5s7dy7u3r2b+vHWrVuxdetWAEDPnj31/nusXr0aEyZMwJo1a/Ds2TNUrVoVu3btQuPGjVPP6dq1K5YvX47vv/8eT58+hbu7O2rVqoVZs2ahXbt2Rq/5xo0bcHNzQ/HixVM/5+fnh0uXLmX53IiICJQrV87oNRERERERWYLNhaIXLlxAkyZN0LFjR7i4uMDBwQEAULx4cRQvXhyxsbFwdHRM/TwABAYGwsfHJ1P9QYsWLYqQkBC4u7ubZQuuZpBTSEhIruhfmtvWC+S+Neem9arVakRFRemtwM7odZSbvk8g960XyH1rzm3rBUyzZkNfR9agevXqGfatXL58ebrqyuwSHBxs0HlvvfVWhpW8efLkwZw5czBnzhytt+3WrRu6deuW2SW+Jjo6+rWfNQ8PDzx9+jTT58bFxaFnz54ICAiw6mCeiIiIiKyLTYWiERER6N+/P3r37o358+cDkAECarUarq6ucHV1RenSpXHkyBH0798flSpVwqNHj7B69WocOnQoU/+jr1Qq01VYmEtuG+qU29YL5L4155b1GvK60vU6yi3fp0ZuWy+Q+9ac29YLZH3NDKIIABo2bIigoKAMvzZu3DhMmzYNbm5ur7X0iYyMzHAbviHnJiUloXPnzihXrly67fRERERERDmdTU2fj4+Ph6OjI0aPHo3ExER069YN7733HurVq4devXrhwoULqFy5Mv7880+cPn0a27ZtQ3BwMAIDA1GtWjVLL5+IiIhIqyNHjkCtVmd4mTZtGgCgfPnyiI6OxoMHD1Jvd/HiRfj6+r52f/rOValU6NWrFxQKBVatWsWhdERERESUq9hUKBocHIxLly5BqVRiwIABePbsGSZPnoxhw4YhKSkJHTt2xPXr19G0aVMEBQUhMDAQ69atQ5UqVSy9dCIiIqIsc3NzQ/v27TFp0iTExcVh165dOH/+PNq3b2/0uQMHDsTDhw+xadMmDk8kIiIiolzHpkLRqlWronr16vjhhx/w6NEjzJgxA61atcKwYcMwceJEFCtWDDt37oRKpYK7uzucnJzg4uJi6WXr5OTkhEmTJsHJycnSSzFIblsvkPvWnNvWm1m57fvMbesFct+ac9t6gdy5Zsr9lixZgtDQUHh7e2PEiBHYsGEDvLy8AACtWrXC9OnT9Z579+5d/PTTTzhx4gTy588PNzc3uLm5ITAw0FLfFhERERGRURTqjDr/W7GBAwdi8+bNUCgUOHbsWLopqS1atECRIkWwcuVKyy2QiIiIiIiIiIiIzMpmKkU12e+PP/6IunXrIiIiAkuXLkV0dHTqOcWKFUOpUqUynBBLRERERERERERE1sGmKkVTUlJgZ2cHAGjTpg0uXLiAunXromnTprh48SLWrVuHf/75BxUrVrTwSomIiIiIiIiIiMhcbCoUBYDk5OTUYQCzZ8/GkSNHcO/ePfj4+GDatGkmnzKvUqkQGhoKd3d3TmUleoVarUZUVBSKFi0KpVJ74TpfR0Ta8XVElHWGvo6IiIiIyHpYVSh6584d/Pbbb7h//z7efPNNdO3a9bVzNN/uy38QxsTEwN7e3iyDLu7fvw8fHx+T3y+RNQkJCUHx4sW1fp2vIyL9+Doiyjp9ryMiIiIish72ll6AqVy4cAGtW7dGhQoVEBcXhwULFuDevXsYPXp0uvM0YWh4eDgKFCgAAHB1dTXbutzd3QHI/2R7eHiY7XFyg+TkZOzYsQMA0K5du9SKXbJdkZGR8PHxSX2daMPXEeljy79f+DpKLyUFOHpUjhs0AP7rmmNTMno98HnRzdDXERERERFZD6v4q/Hu3bvo0KEDevTogRkzZkCpVOLnn3/G2LFj8f7776N8+fLpzp88eTJCQkIwbtw4lClTxqxr04SwHh4eVv1HqCGSk5Ph4uICQJ4PWwotSDd9W3n5OiJ9+PuFr6OXtWlj6RVYlrbXg60/L4ZgawkiIiIi25HrmyapVCqsX78e5cqVw9ixY1P7QNWpUwcODg5QqVSv3cbFxQVBQUFmrRAlIiIiIiIiIiKinCnXh6JKpRL169dH9erV4enpmfp5X19f2Nvb4+HDh6/d5osvvsA///yDQoUKZedSiYiIyMySkoDvvpNLUpKlV5Nz8HkhIiIiIkov1+4vTElJgd1/DbEaN26Mxo0bA5BBSpqtTwqFAkkv/Z//n3/+CV9fXxQuXBh58+bN9jUTERGReSUmAp9+Ksd9+gAODhZdTo7B54WIiIiIKL1cWSl6/fp1LFiwIF0V6MtT5ZOTkxEXFwc7O7vUvmljx47FO++8k7qdnj2jiIiIiIiIiIiIbFOuqxS9efMm6tevj2fPnuHp06cYMWIE8ufPny7kVCqVsLOzg1qthr29Pb766it8++23OH78OIoWLWrB1RMREREREREREZGl5apQNCYmBjNmzEC7du1Qp04dfPrpp0hOTsYXX3yB/Pnzp56nVCqRJ08eeHh4YPDgwTh37hyCgoJQu3ZtC66eiIiIiIiIiIiIcoJcFYoqlUrUqlUL3t7e6Nq1K/Lnz49u3boBQLpgNCUlBS9evMDt27cRHR2NM2fOwM/Pz5JLJyIiIiIiIiIiohwiV4Wizs7O6N27N1xdXQEAXbp0gVqtRvfu3aFWqzFmzBh4e3tDrVZDpVJhw4YNKF68OHx9fS28ciIiIiIiIiIiIsopclUoCiA1EE1JSYFSqUTXrl2hVqvRo0cPKBQKDB8+HHPnzkVwcDB++eUXuLi4WHjFRERERERERERElJPkulBUQzNISaVSoVu3blAoFOjVqxd27NiBmzdv4t9//2UgSkREZGOcnIBdu9KOSfB5ISIiIiJKL9eGogBSJ86r1Wp07doVS5cuxdmzZ9lDlIiIyEbZ2wNt2lh6FTkPnxciIiIiovRydSgKSDCakpKC0aNH4+DBgzh79iwD0Qyo1cDnnwOrVwOVKwM1awK1asmlYkX5Y4mIiLJXTAzwzz/AoUNARATw9ddAvnyWXhUREREREZH1s5oozNfXF6dPn0bVqlUtvZQcadw4YOFCOQ4KkouGszNQrZoEpJqwtHJlwMHBMmslIrJW0dHA0aMSgh4+DBw/DqSkpH398WNg0ybgv40QlAlJScCvv8rxBx/wv2UafF6IiIiIiNKzilDUzs4O/fr1S91OT+nNnw/MmCHHgwYBXl7A9etyuXkTiI0Fjh2Ti4anJzB3LtC/P/84JyLKrPh4CUA1IejJk+lDUAAoUADw8wP+/hvYsgVYsQLo188Sq7UOiYlA375y3Lmz6cI/tVqN2NhYg851cXHJcf9PYq7nhYiIiIgot7KKUBRAjvvjI6dYvRoYMUKOP/oI6NpVjt95R65VKuDBg7SQ9MYNuX7xAvj4Y+D334FlywBvb8usn4goN4qNBX78EZgzB3j4MP3XChWS6vzq1eW6SBF582ndOmDpUuCTT4DGjYFy5SyydJtjSNipVqvRqFEjnD171qD79Pf3R2BgIP/fhIiIiIgoB7OaUJRet3NnWlVIp05Ajx6vn6NUAj4+cmneXD6nUgEbNwLLlwPbtsn2zlWrgLffzr61ExHlRtHRwPffS6X948fyOW9voE6dtCC0cOGMb9ulC3DiBHD2rGxvPnKE1Xzmplar0bBhQxw9etSk9xsUFITY2Fi4urqa9H6JiIiIiMh0lJZeAJlHYKAEoSoV8O67wODBhm+DVyqBbt2AJUuAEiWA0FCpLB05EkhIMO+6iYhyo8hIaVNSqhTwxRcSiBYuLL83160DvvwSaNlSeyAKAHZ2QEAA4OYm4ejUqdm2fJsVGxtrVCBavXp1REVFITo6OsNLWFiYGVdLRERERESmxEpRK3TuHNCqlfQPq18fGD1agk5jlS8v2z+//x7YsQP45hvgwAFg7VrA19f06yYiym2ePwe+/VYqQ6Oi5HPFigE9e0p1vb2R/5UtWFBankydCkyfDrRoATRsaPJlUwbCwsL0VnbmxF6hRERERESUOQxFrczt21KNFBMjgzsmTTL+j/KX5ckDfP45ULcuMHs2cP68TKifN0/63vFvQyKyRc+fy+/B+fPl9y0glfU9ewLNmknVZ2Y1bSptS/bulfs7d06G35F5ubq6crs7EREREZEN4fZ5K/LokWxzf/QIKFNGqoycnExz3w0aAD//DLz5plSgDh0KvPcewJ2CRGRrwsLkd+K0aRKIlioFTJggvyPfeSdrgajG0KFA0aLA3bvyBhQRERERERGZFkNRK/H8uVSI3r4tf0jPni196UzJywuYOVP+WHdwkMn0FStKRRMRkS0IC5NK0CtXgPz5gSlTZChdVqtDX+XqCowdK61Pfv1VLmQYJycZFrhxo+neGLQGfF6IiIiIiNJjKGolZs6ULZb58kkg6u1tnsdRKIAOHaTXaJkyEsY2aAAMGZI2aZmIyBr98QdQowZw+bIEogsWAI0bZ65nsyF8fYHOneV47FjzPIY1sreX561z56y1j7E2fF6IiIiIiNJjKGolzpyR6379ZMiHuZUuDSxaBDRqJBPuv/9ePvf110BsrPkfn4gou8TEyBb2Vq2Ahw+ld+j8+eb/XZuSApw9K8f+/uZ9LCIiIiIiIlvDUNRK3Lwp1z4+2feYLi4yIXn+fKBCBQlDx48H3ngDWLlS/qAnIsrNTpyQ4XJLlsjHHToAS5cCxYub/7G3bweuXZOt9PPmmf/xrEVyMrBpk1ySky29mpyDzwsRERERUXoMRa1AYiIQHCzH2VEl+qrq1SUwGD8eKFQIePAA6NsXqFUL2L8/+9dDRJRVSUnA5MlA/frA9euyXX7uXOmpnB39GMPDgZ9+kuO5c4EiRcz/mNYiIQHo0kUuCQmWXk3OweeFiIiIiCg9hqJW4O5d2cLu5GS+XqL6KJVA8+bA6tXAoEFS2XTuHPDuu7Ll9MIFy6yLiMhY167JdvUpU+R3a7NmMlm+Vq3sW8OiRUBcHFCvHjBgQPY9LhERERERka1gKGoFNFvnixWTQUiW5OgIdO0qk5I7dZJhDn/8IdWky5ZZdm1ERLqo1TJErlo14ORJwM0NmDBBLu7u2beOI0eAwECZZr90qfkGOREREREREdky/qmlg1qttvQSDPJyKJpTeHrKYJKVK9OGMX3+uaVXRUSUsehooGdPqXRPSABq15bq0GbNsncdsbHAt9/K8ahRgJ9f9j4+ERERERGRrbC39AJyksePH+PWrVvIkycPSpYsCS8vL6jVaiiMKL9MSEhAwkvNuiIjI82x1HQ0oWjRomZ/KKMVKyZbUNesAdauTft8UpJUkRJlxBKvI7Jdly5JZfvVq1KV+fHH0nfREhWaK1ZIP9FSpYCJE7P/8YmIiIiIiGwFK0X/c+HCBTRr1gx9+vTB+++/j3HjxiEqKsqoQBQAZsyYAU9Pz9SLTzaMg796Va5zYigKyJb+Dz8Ehg9P+1ynTkBUlMWWRDmcJV5HZJvWrJGq0KtXZZjSggVAt26WCUSvXwe2bpXjJUsAF5fsXwMREREREZGtYCgK4ObNm2jevDnee+897NmzB0OHDsX+/fvTVacZupU+ICAAL168SL2EhISYa9kAgOfPgYMH5djX16wPlWUtWqQd//kn0KQJ8PCh5dZDOVd2v47I9kREyACjDz8E4uMlGF22zHLb1VNSgHnzpNVI164yoI6IiIiIiIjMhxuYAaxevRpvvfUWZs6cCQAYOXIk/vjjD1y+fBnBwcEoVaoUihUrBpVKBaWe8iEnJyc4OTllx7IBSLiYlCTHpUpl28NmWd68wJkzQNOmwOHDQKFCll4R5STZ/Toi2xAXB+zcCfzyC7BnD5CcLJXsvXtLP1E7O8ut7eBBqRR1dQXmz7fcOqyBo6O0IdAck+DzQkRERESUHkNRANHR0QgJCcHz58+RN29eTJs2DQcPHsTDhw+hUCiQkJCAHTt2oFKlSpZe6mvq1ZM/omNiZFrxW29ZekWGmTcPGDkSuHYNeOcd4NAhwMvL0qsiImukVgOzZwNff52+bUe5cjJYqVYty61N49AhuR45EihSxKJLyfUcHIA+fSy9ipyHzwsRERERUXo2vX1epVIBAMqXL4+UlBS0b98e/fv3x5QpU7BlyxYEBgbil19+Qfny5TFnzhwkJibmuIn0xYrJUBBAKi9zi6JFJRj18gIuXABatgQ4S4eITC05GRg4EBgzRgLRQoWADz6Qirlly3JGIAoAwcFy3bSpRZdBRERERERkM2yyUjQlJQV2dnapW+EHDx4MQCZcX7p0CcOHD8f7778PAPDy8kKBAgXw6NEjOObQ/WZNmshwkHPnLL0S4xQrBsydKwOYTp4E2rQB/vhDKl+JiLIqJkb6c+7eLYOTPv0UaN/eMkOUdElJAR49kuNy5Sy7FmuQnAzs3Su9wBs1ioW9jv/TiYmJyb6FWZjmeQGkx7eu54WIiIiIyBbY3P8SX7lyBYsWLcKtW7fQoEED1KlTB61bt04NRkeMGJFuwBIg/Q2LFSuGpKQk2NvbGz2R3twaNZLru3dl8FLevOZ/zIgIqfBMTJRQNrN5cenSEox+/jlw5Ajw/vvS8y9PHpMul4hszOPHwHvvyRsujo7AhAlAw4aWXlXGHj+WYNTJSaroKWsSEuTfHlAAKAgg1rILyiHSnhcgOpqhKBERERFRDquXMa+rV6+ifv36iIqKgre3N44cOYIPP/wQ81+aauHh4YGjR49ix44dOHbsGMaPH4/Nmzfj888/h4ODQ44LRAHA2xuoUkWOzVEtqlYDISHA778Ds2bJQJKOHYHJk4Hp06X6KitT5MuXl/vNkwc4cADo1i1teBQRkbFu3QIaNJBA1MMD+OabnBuIAkBoqFyXKZPzqlhthb+/P1xcXCy9DCIiIiIiykY2VSewdOlSNGvWDGvWrAEA3Lt3D2vXrsXIkSMRHx+PgIAATJ48GX///TcGDRoEZ2dneHp64q+//kLlypUtvHrdmjQBLl4Ezp+X46xQq2UK8oULcn8XLwLPnr1+XqFCUpl644YMb5gyRQY/ZYavrwSsX34JbN8O9OsHrFrFgICIjNeoERAeLgOLZs4ESpSw9Ip0e/BArsuWtew6rFVYWBhc9fRlcXFxyZFvehIRERERkfnYTCiqVqsRHBycri9oiRIlMHToUDg5OeHLL7+Et7c3BgwYgL/++gtBQUFwdXVF0aJFUbBgQQuu3DCNGwPffWeaStFZs9L6jmkolUDx4oCPD1CypBw7OwMvXgCbNskf9QEBQK9eQO/egJ2d8Y9bo4ZUn06cCPzyi1R4LV4M8O9UIjJGZCTwxhvAjBkyzC2n01SKMhQ1D1dXV72hKBERERER2R6bCUUVCgUaN26MH3/8EVeuXEGlSpUAyB9Lffr0wb1797By5Uq0bNkSJUqUgL+/v4VXbJzGjeX69m2ZsOzunrn7OXxYAlGFQgZ+lCghl6JFM+4/5ukpVaJ79wL//gusWQNcuQKMHy9fM1aDBhKufv01sGSJ3Mf06Zn7XojIdvz8c1o/5Vq15HeQs7PpHycqCrh8WS7R0fL7L7O/bzUYihIREREREWU/m9qcXLt2bbi7u2PlypW4f/9+6ufz5cuHNm3a4OLFiwgPD7fgCjOvcGGgQgXZ+n7hQubu48ULYOFCOW7UCOjRQ/rwlSiheyCDvb1Mjn//fakQ/fdfYOBACUczo3lzGbwESKXXzJmZux8isn4qlQxR+uyztM9Nnpz1QDQlBQgLk+r7nTulgr53b6BdO2DMGGD1amDrVmDcOBk4lxXcPk9ERERERJT9bKZSFAAaNmyI7t27Y+HChXByckKfPn1QpkwZAICfnx9KlCiBhIQEC68y8xo3Bq5dkx6gDRoYf/v166V3aIECaRPtjVGtmoSzGzdKmPDJJ7KdvmdPwMHBuPtq2xaIiQF+/FEqR+/ckcCWU+mJSCM+HujaFdixQya3a2RmqnZEhAxmOnFC3tDRTITPiJeXtBC5ckXehPrjDwlLMyMhgZWiRERERERElmAzoahKpYJSqcTnn3+OuLg4rF69Grdu3UKfPn1Qrlw5fP/993jx4kVqSJobaWZBZXYS/LFjct24ceZCBUCGL338sVRWXb4s1VRHj8oAJWP/4O/WTUKJ5cuBpUslrNi0Sbb1E5Fti4uT6vR9+wBHx7TqckMlJ8vvqBMn5HLjxuvnKJXSwiNfPmkh4uMjYahmSLlSCZw9K1vqM+vIEQl3S5QAypfP/P1QGkdHYN68BIwcOQJAFst4rYijo/Tp1hwTEREREdk6qwtFU1JSYJfBlB+lUpkajI4dOxbFihXDb7/9hpYtW8LX1xeRkZHYsWMHChcubIFVm4aPj1xnpgNAeDgQHCzHWc2F8+QBOnUCLl0Cdu0Cbt6U7fQTJwL/tXI12AcfyMCU6dMlfKhWDVi5EujcOWtrJKLcKyZGKjP/+kt+33z9tQxq0/e7Lzw8LQQ9dUru52VFisibLqVLA97egJubBJ/aJCXJdVYq2P/4Q6779NH9WGQ4Bwdg4MBkjBy5xNJLyVEcHGQHBxERERERCasKRa9fv46dO3eiR48eKFKkyGtfVyqVSE5Ohr29PXr37o1OnTrhzp07UCqV8Pb2RqFChSywatMpXlyuHz82/rb//ivXxYqlVUFlhUIBVKkClColVaPXr0tv0FWrjL+vOnWkUvSrr2SrapcuwKefAt98Y/y2fCLK3aKipIdxYKD0DZ05E6haVfopa5OQAMybB+zfn/7zzs5SwV6unFy7uRm3Fk0v0cyGomFhEs4CEooSERERERFR9rGaUPTmzZuoX78+nj17hqdPn2LEiBHInz9/unPUajXsX9oX7urqiipVqmT3Us1GUyn69KlsO8+gYFarkyfl2tQ97dzcpOff9u3S7zSzChQA5s+XrfTr1skWwHv3pH/py70Eich6vXgBtGoF/PMP4OoKzJ6d1jZEmydPZBK95vdP8eISgpYrJ5WhWanO1FSKZnao0969EuY2bSrVqWQaKSnA338rATQBEGjp5eQYKSnyZgIgfcON+X8EIiIiIiJrZBWhaExMDGbMmIF27dqhTp06+PTTT5GcnIwvvvgiXTCqUCgAAHPmzEF8fDwmTJhgqSWbRaFC0gs0OVmC0YIFDbtdSkpatZI5Bn0olUD79sDvv6d97sgR44c52dkBAwZICDJ1qgxXadcO2LbNNNWtRJRzPXsGvPuuVLW7uwNz5gAVKui+zbVrEog+eSJvnnTrJtXrpqIJRTPzxoxKJaEoAPTta7o1kfRobd3aGcAhAK4WXk3OER8vATwAREfLGwtERERERLbMKjqYKZVK1KpVCy1btsSQIUOwfv16zJ07F7Nnz8aTJ0/SnRsREYFTp05h9+7diIiIsNCKzcPOTra/A8Ztob9xA4iMlD/sNbc3NaVStrxqTJ+eVrFirIYNgRkzZMvqvn1A69ZZG3RCRDnbkydAs2YSiHp6SusMfYHowYPSP/HJE6k0HzjQtIEokLXt8+fPy9R5FxegY0fTrouIiIiIiIj0s4pKUWdnZ/Tu3Ruu/5U9dOnSBWq1Gt27d4darcaYMWPg7e2NlJQUKJVKLFmyBAkJCfDy8rLwyk3Pxwe4e9e4UFSzdb50afNup3t5m6paDUyaBEyZYnzFKADUqiVbZ8eMAQ4flgqyPXuAvHlNtlwiygHCwoC33wYuXpQp8PPm6d9q/ssvwM8/y3H58hI6mqPNRla2z+/ZI9cffMBKd2sV8+okrwy4uLik7mIhIiIiIqLsZRWVogBSA9GUlBSo1Wp07doVa9euxbx58zBr1iyEhoZi1KhR6Nu3L1xdXTMcxGQNNMOWjJlArxmyZI6t89r4+qYFo0eOZO4+/PwkIHF3B44dk0qyVwqDiSgXCw0F3npLAlFvb2DBAsN6b/76q1zXry9b5s3Vdziz0+djYoC//5Zjbp23XoUKFYKbm5vOS6NGjaDWNSWMiIiIiIjMxmpCUQ27/0odVSoVunXrhnXr1mHBggVo1qwZFi9ejIkTJ8LJiifzaIYtGRqKxsTIRHcge0PR996T6fRZDUYrVpQBTHnzAmfOSIDy6JEpV0pElhASAjRpAly9Kv2RFy4ESpTQfv7Lv/OUSuk3/O67WRukpE9mt88fOiT9HStUAOrVM/myyIJcXFzg7+9v8PlBQUGIjY0144qIiIiIiEgbqwtFARmopFAoUitGGzVqhPDwcJw+fRo1atSw9PLMShMa3L5t2PlXr0ow6ekpW1Ozi1IJ/O9/EoyqVMDkyTJZOjPKlpXAJH9+4NIloGZN6SdIRLmPWi3b3319gZs3gcKFpUJUV7/j+/eBUaPSPu7RAzD3r/qYmMxtn4+MBNauleN+/QDunLYuCoUCgYGBiI6O1nkJCwtLvU1MTIzeC6tJiYiIiIhMzypDUUD+MFGpVBgxYgQOHjyIgwcPws/Pz9LLMruWLeWP7DNngDt39J+vaasaGytT6LOTJhgtVEge+88/M39fJUpIcFKyJPDwIdC8uVSgJiebbLlEZGahoUD79kCvXjI8rXx5eV3r6nZy5w4wbFj6Psqainlz0gyKq1jR8F7GycnSRzk0VH5nffSR2ZZHFqRQKODq6qr3osFt9kRERERElmG1oaiGr68vTp8+japVq1p6KdmiXDkJGgFg40b955csKT05k5Iss+1cqZTKTgD444+s3VexYsD338s0erUamDpV+ow+fJj1dRKR+ajVwKpVsp18507AwQHo3x9YskTeNNHm0iVg0CAgIkK22Gfnei9fluMPPzS82nPJEuD0adluv2NH2ptSZFoODsC0aYkARgNIsvRyMmSJbfYODjKgcPZsOSYiIiIisnVWHYra2dmhX79+qF69uqWXkq1Gj5brAwf09xZVKmVgEQDcu2fedWnj5yfruHFDtstmhbOzfP/jx8txYCBQpw5w8qRp1kpEpnX/vvQY7tMHiI6WyssffwR69gTs7bXf7vhxqRBNTJQBcx98kG1LxuPHUsnq5ATUqmXYbXbsALZtk+N164Bq1cy3Plvn6AgMH54EYC5yaiiamW32WeXoKP99HD1ajomIiIiIbJ1Vh6KA/OFha+rVAxo2lK2aW7fqP79KFbm2VCjq7AxUqiTHe/aY5j6bNweWLpVK2AcP5PnQ9PEjIstTq4Gff5YQ9PffpXJtwABg8WL9E+b37wcCAqTtRrlyst3e2GFHWXHrllxXr25YuHT2LPDtt3L89dfA+++baWGUqxi7zZ6IiIiIiEzL6kNRW6WpFt25UwaC6PJypailWpZpinkPHEib6JxVxYsD330nIXFiolSSffll9vdOJaL0QkKAVq1ki3xMjLwpsnQp0L07YGen+7abNgHTp8vvKj8/oFu37K9604SitWvrPzc0VPobp6TI9xcQYN61kTzXp04pAdSGNf1vTlYHMqWkyK6Jkyf530EiIiIiIsCa/lqgdN57TyqwYmKA3bt1n/vGG1KlFRsrvfksoUwZ6W0aGQksX266cNbVFZg2TaZRA9JLrV27zE+6J6Ks2bBBfjft3Su/dwYNAhYtAkqV0n07tRpYtkz6cgJA3brSP1lfiGpqSUlAcLAcv/mm/vMXLJDfa3XqyO82G9y8kO3i44EmTZwBnASQjSXEZpbVgUzx8fIz++abckxEREREZOsYiloppRIYOVKON2/WPYXd0TFt+7o5ttAnJgLPn+s+R6mULe+ADIhascJ0j29nB3z8MTBunHyvv/8u1aPXr5vuMYhIvx9+kGrJ2FjA1xf46Sega1f9wWZKCjBnTloLjObNgRYtLBMwBgcDKpUMgNI35f7pU+Dff+V47VppFUJkDEsMZCIiIiIishUMRa1Yz57yh3t4OPDXX7rPNcewpYgIqQb75htg4ULgwgXd51erBrRsKcdr1gCrV5tuLQDw9tvS1y9/fuDqVRmQsm+faR+DiDI2Zw4weLBUfP7vf/I7oUQJ/bdLSJDt53v2SAjatq30CLZUxeXLW+f1reHgQfl+GzSQ3qdExrLEQCYiIiIiIlvBUNSK5ckDfPaZHG/YoHtLuilD0bt3pSpq0SLg2DEJNQBg1y79t61bF3j3XTlesQL45RepyjKVChWkWq1yZZl03aoVMG+eaR+DiNKo1cCECcAXX8jHH3wADB1q2Lb36Gi5XVCQVJN36QLUrGne9eqjCUXr1NF/7oEDcq1p30GUGRzIRERERERkHgxFrdzgwRKO3r4NHD2q/TxfX7mOiMhaX9GoKGDlSuDGjczfR/36aVvply+XYSz79uluAWAMb29g/nypSlWpgFGjJGi5ds00909EIj4e6N1b+voCMl3+o48Mq/J89Aj49FPg/HnpPdqrl/QitaTHj4EnT2T9+sLZy5fld4pSCXTunD3rIyIiIiIiIsMxFLVy+fIBw4bJ8dKl2ifOurmlDQ05fjzzjxcZmfnbvqxhQ+kZ6OAgPfxmzJB2ANu2mWZAhKOjVKB99pkMYzp3Tr7/f/7J+n0TEfDwIdCkibTCUCqBzz+XfqKGuHgR6NtXqs7d3YF+/fQPYsoOgYFy3bChrEublBQZsARImFuwoNmXRkREREREREZiKGoDxoyR6sh792TIkDaaaqbTp4G4uMw9lmarvCnUqweMGAE0aybBZViY9ATt3l36jd6/n7X7Vyikt+GaNVKBFhkJvPUWsGOHSZZPZLNOnpSemydOSHg4ezbQrp1ht92/X97IiY8HCheWytLChc27XkOEh0tYCwAffqj73F27pFre1RWYNcv8ayMiIiIiIiLjMRS1AXnzSk8/QPp0ags8a9UCypSRbeqnTmXusUwZigKy9b9RIwlJWreW7+X5c/k+evUC+vQBli0DLl3KfF/QfPlkGFS9ekBiogSlS5ea8JsgsiFr10olZWgoULIk8P338rtFH5UK+PlnYPp0Oa5YUapFPTzMv2ZD/P23XDdsqHto0vPnwE8/yfHMmTLsjrKXgwMQEJAIYDKAJAuvJudwcJChZZMmyTERERERka1jKGojBg8GSpcGnj3TvkVcoUirFj1xQvtWe10SEzO/Rl0cHGSwydChElqWKSPr1Qx1+vRToFMnYO5c6Z1qbDjr7Cx9D1u1kkBm4ED5w1HXcCoiSqNSAQEBMkgpMVHeZPjuO6BYMf23TUgAvvpKqrYBwN9fhio5Opp3zYZ68sTwKtGlS2VAVPXqwKBBZl8aZcDRERg3LgnAFDAUTePoCEyeLJec8toiIiIiIrIke0svgLKHoyPQtClw5w4QEqL9vObNZbjRkyfA9etApUrGPY6pK0VfpVQCVavKJT4euHlThpncuCGB7+7dcrGzk1CmcWP5ngyZdG1nB4weDRQoINvzp04FHjyQafX2fKUQaZWUJBPWN2+Wj7t3lwFphrzunj4Fxo8Hrl6V1/d77wE1aph3vcbSVIn6+wPly2s/79IlYM8eOV6yhL83iIiIiIiIcjL+yWZDypaV69BQ7ec4OMj20N9+kyrMnBaKvixPHqBKFbmkpMh6r16VkDQyEggKksvevRK65Mun/z4VCtmymz+/DEpZvlwGxmzcKP0BiSi9xESga1f5neHgIG8svPOOYbe9eRMYN06mujs5Ad265YyBSi97+tSwKtGXhyv16wfUr2/2pdkstVqN2NhYrV9XqYAzZ+IBVAZwJdvWlVPExMQgOTk53cf29vZQqYCrVxUAgJo1nWFnp7DUEomIiIiIcgSGojZE0wfvwQPd5/n6SsChq6JUm4xCUW/vGHh4JMLBIe2PNEfHZ1Ao5McvOdkRyclZSxzt7GRLfZkysgU+LAy4ckW20p8+DXz8MTBxolSYGqJtW8DLS7b0/v67VNnu3i1VpEQkEhJkm/uOHRKITp0qFdqGOHpUWlQkJ8sguB495DVnLHv7GNjbJ0KhSPv9kifPM6jVpvn98vff0kajQQPgjTe0n7djh4S8bm7SS5TMQ61Wo2HDhjh69KiOs1wAxAC4BMD23s0qVKgQnJycsHr16tSPExISkPa8APXqvY2jR/dDoWAwSkRERES2i6GoDTGkUhSQyktAKiSTkowbyPBqT1Fv7xgsWLAHjo7ppyCVLXsw9VilUuLmzVZZDkY1FAqZVl24sHwvGzdKO4DhwyUc7dpVtunq4+8PzJsHjB0r07QbNAD++CPteSSyZQkJQMeO8maBg4P05H3zTf23U6uBTZtkABMgvY47d5a+vsayt49BuXJ7oFSm//1SurRpfr88fQpcuCDHuqpEIyKkqhwAZs/mmyfmFBsbqycQTa9evfpwcXEx44pyBhcXF/j7+yMoKMig848d+wexsbFw5RYIIiIiIrJhHLRkQzRh3rNngI6dhyhUSLaPq9X6q0pf9Woo6uGR+Fog+iqlUgV7e/NMaCpQQIJQPz/5fpYuBSZMAF68MOz2vr7AokUSsN68KcOetA2qIrIV8fFAhw4SiDo6AjNmGBaIqlSyxVwTiNaqJYOZMhOIAoC9feJrgeirsvL7JTBQfm/UqwdUqKD9vKVLgZgY+X4GDMjUQ1EmhIWFITo6+rVLWNjj1HP277eNakiFQoHAwMCXnoOw1K9pnqeXnxciIiIiImKlqFZqtdqkf0glJyen6/FlCW5uQNGiUv1061ZaRWhGqleXQCAkRCq5jOHklHb88pZ5XRSK5HTbX03JyUkCnDJlgH37gFOngF69JLxo2VL/MBgfHwlGJ04Ebt+Wfolffw0MGSJVqZR5xr4mcsLryNbFxckgpT//BNzdgSlT5PeFWq37domJwJw5wJEj8pp8+22gdu2svYYM/Z2Rmd8v167JxckJ6N1b+/e3dy9w6JD0OF68WM7L7h9RW31NuLq66q10tIVAVEOhUKQ+Hy//TLi6usKeU7+IiIiIiF6jUKv1/SlrO86fP4/Nmzdj6tSpmb6PhISE/3p3icjISPj4+GDFihU2sYWPyBixsbHo27cvXrx4AQ8Pj9TP83VEZDhtr6NXRUZGwtPTU+95OVlMTAzc3NwAANHR0RmGojEx8iagnGObQ/KSk5OxdetWAECHDh1gb2+f7nkBXBEd/Zjb519iDa8PIiIiIjIOt8//59y5c6hXrx5UqvRbMY3NjGfMmAFPT8/Ui4+PjymXSWQT+DoiIiIiIiIiInNipSgkEPX398egQYMwd+7cDM8xdDu9tgq3p0+f5ojKA7Vaev9duQIMHgy0a6f93HnzgAMHZGtsq1aGP0ZQkExsBoCSJZ/hq68O6r4BgDt3miI+Pp/hD2ICsbHA4cPA2bPycalSMm0+f379t71+XSZMP3wo2++//hr45BNupzdWZGQkvL29Da4UzSmvI1sTEyPDkP7+W7aJf/WV7vYbGrduSduJiAipUOvaFShY0HTrypPnWbqhStoY+vslNBT49VfZ/v7mm9J/OKNdx6GhwNCh8jukc2fgp5/0t+EwJ22vo4zOy+2VcKwUNQwrRY1nDa8PIiIiIjKOzTeZCgkJgb+/P7p37465c+ciMTERc+fOxe3btxETE4M+ffqgXr168PT0NOj+nJyc4PRyU83/2Nvb55ieXv37yx/0v/0moai2IK9ZMxmkcvYs0Ly54VPoa9QA9u+X46Qkw75ntdoeanX2Pj/OztJT1M8PWL9e+gcOHSrTo0uU0H3bChWkz+jcuRKsfv45cPAgsGIF4OWVPeu3BtpeE7nhdWQroqOB9u3l59zFRabMGxKInjoFBAQASUky8OyDDwBPT/29R41h6O8MQ36/PHoErFwpvU9r1ADGj8/4d15CAjBpkgys8/cHfv7Z8N+N5sLXRHoODsCoUWnHJBwcgGHDErFw4UIASZZeDhERERGRxdn89vlz586hXLlyePLkCe7du4f27dtj9+7deP78OW7fvo3hw4djyZIliImJsfRSTaZXL6n2Cg4GLl7Ufl716lLVlZAglZGGcnYGGjTI6iqzT7FiQL9+EmaGhckApsuX9d/OzU3CkWHD5I/NHTuAmjWB48fNv2ai7BAdDbRuLYGoq6sMSjIkEN2/Hxg9WgLRkiXl9WXg+0oW8eQJsGqVBKK+vlL57eiY8bnffisVsHnzAhs2MHTLiRwd5Wd1zhzt/462yNER+PrrJABfgKEoERERERFDUbz33nuYOHEinj17hvLly0OhUGDbtm3YvHkzjh8/jpYtW+LHH3/E48ePLb1Uk/H0lKotANi+Xft5SqVMWgeAc+eMe4x69eQ6MtIRiYm6f8xUKiWSky37l2u+fBLcFC0qIfBnnwH//KP/dgoF8P77MnW6aFHg7l2pHvvmG9NWxBFlt6goaZsRGCiB6OzZQOXKum+jVgNr1wLTp8uxry/Qs6e8CWMOycmOUKmy9vvl2TNg9WogPh4oX17aYjg7Z3zunj3A77/L637zZnlDhYiIiIiIiHInm9xzl5KSAruXGsB16NABSUlJKF++PPr27YuCBQtCpVJBqVTim2++wZIlS/Dnn3/io48+suCqTWvQIGD5cukR+Py5VD1l5N13pcfezZtSNZbWj0w3d3epmjx92hXDh7eCh0ciHBySU/uL3rnTNHU7a3KyI5KTLd/XzNUV6N0b2LRJvt9x46TazZB+qm+8Afz4Y9p2+pEjJVSaNMn86yYytchI+bk/elReF3PnAhUr6r5NSopUUe7YIR/Xry9vqpizz25ysitu3mwFe/tEKBTJqf1FDf39EhkJrFkjr9WSJaWyUNvvuJs3gQUL5HjqVGkpQjmTSgXcuyfHJUrIG3wkz8vduwoAJQHcs/RyiIiIiIgszub+VLhy5QqGDh2KFi1aYMqUKdizZw8AoGvXrhg6dChq164NAFAqlVCpVLh16xYqVqyIivoSgVymdm2gVi3Z3vrHH9rPK1ECqFRJqr4uXDDuMfz95frpU1fcuZMPd++mDTqJj8+XeskJgaiGoyPQrRtQrZp8z7NnA7/8YljVp2Y7/eDB8vHkybIllyg3iYyUXrtHj8rP9Lx5+gPR5GQZvqQJRFu0kDdUsmPwWHKya+rvEg1Dfr/ExEgg+uyZVHnPnat9i390tLyeExMlLB471gzfCJlMXBxQurRc4uIsvZqcIy4O8PV1ARAMQEs5NBERERGRDbGpUPTq1auoX78+oqKi4O3tjSNHjqBXr1745ptvAABVq1aF40sNyJRKJdasWQMAKFOmjEXWbE6a8G7nTqkg0aZFC7k2dgu9l1f6/oMZzM3JkezsZLCMJtRdvlyGKqWk6L+tQgF06QL06CEf9+8P/Pmn+dZKZEovXsjr/Z9/pNp73jwZKqaLJhA9fFgq8jp1SmufkVkREbINf/58afERGZm1+3tVXJy82fHkifRNnjcPyJ8/43M1b448eCBvEq1Zw8pDIiIiIiIia2BTf9otXboUzZo1w5o1a7B27VosX74co0aNwqhRozBr1qx05+7evRsjRozAwoULsWrVKhQtWtRCqzafbt1ka2xoqO7eok2bSggQFgZcvWrcY2iCRQAoVy5z67QEhQJ4+22pmAOAbdsk+ElMNOz2/fsDzZpJkNqhg4QvRDlZRIT8zB87Bnh4SFD4xhu6b5OUBEyZIm04lEr5neLrm/W1bNwI3LghYejZs8CWLVm/T43ERAlcHz2SXqdz5wKFC2s//6efpK+qvb201vD2Nt1aiIiIiIiIyHJsJhRVq9UIDg5OVwlaokQJDB06FPPmzcOECROwYsWK1K8dOXIEJ06cQGBgIKpXr26BFZufq6sEGoAMCjp1KuPzPDyk+guQcPD5c8Mfo3BhCUbz5QPq1MnSci2ibl2gY0cJfA4flh6jMTH6b6dUAl9+CZQpI8HO6NHmXytRZoWFAW+9Bfz7r2whnzdPhg7pkpgITJwIHDmSFojqu42h/PzSf1ytmmnuNzlZJsbfvy+tMr77DvDx0X7+L79IgAoA338PvPmmadZBRERERERElmczoahCoUDjxo1x7tw5XLlyJfXzrq6u6NOnDz755BMsW7YM9+/fBwDMmDEDO3bsgN+rf51bmREjgF69ZPv8lCkSFmTko4+kr2BiokxdNmQrucbbb8s09yJFTLPm7FalikzQdnAAzp+XvqFJSfpv5+goA5cUCmDlSglViXKakBCgcWPpGeztLcOE9FV1JyTIILJjx6TdRI8epgtEAXkjpWdPoEEDYNgwGdqWVSoVsHUrcPu2VH3Ony9vWmizZYu0zgCkmtSK5uwRERERERERbCgUBYDatWvD3d0dK1euTA0/ASBfvnxo06YNLl68iLCwsNTPe3l5WWKZ2UqhAJYulR6AUVEyQCQ6+vXzHBwkDHR0lN56Bw5k/1otqXRpoE8fCVNOnZIp1YYMX6pcGXjvPTkeNEjCJKKc4tYtoFEj4Pp1oFAhYOFCoFQp3beJiwMCAqSq1N5ewsuyZU2/trJlZXp93rxZv6/4eHkz58oVqWqdOVNem9rs2SPV84BUw44cmfU1EBERERERUc5iU6Fow4YN0b17d2zYsAFLly7F7du3U7/m5+eHEiVKIMEGU6s8eWRbfPHiUjU2dWrGlaCFCwMTJsjxsWPG9xfN7YoWlSFKCgWwf39aFZk+H38s7QOuXpUwlSgnuHJFKkTv3pXX/sKFQLFium8TGwuMGQOcOSNvlPTqpT9EtbTQUHnj58oVee1OmgTUqqX9/L//lspQAPj8c5k6T0RERERERNbHZkJR1X/j1T///HMMGDAAGzduxIQJE7B//37cuXMH8+bNw4sXL6xyyrwhChcGduyQgPTkSeCHHzI+r2HDzPcXtQblywNt28rxr7/Kc6aPuzswZIgcT50K3LxpvvURGeL6dRkEFhoqVdALF0qlqC7R0dIb9/x5CUQ//FCmsWeGIVXWWaVWA//8I29ePHsmv+MWL5YgWJt794AZM2Sr/UcfSW9VhcL8ayXTsreX37lDhsgxCXt74OOPkwB8ByDZ0sshIiIiIrI4qwtFU7Q0u1QqlanB6NixYxEQEIDY2Fi0bNkS7du3x8aNG7Fjxw4U1jWG2MrVqAGsWSPHmzdrH7w0YEDm+4vqEhEBnD6dPYFJVtSoATRpIscLFgBBQfpv07y5VKclJckf6jn9eyTrdfu2BKKPHklPzfnzAX2dQiIjgVGjgMuXpYVGnz5SXWqMZ8+kCvO772T7+p07mf4W9IqLA9avB/btk4CzSRNg2TLdW+bj46UqND4eaNpU3hhiIJo7OTnJz9l338kxCScnYP78RACfAki09HKIiIiIiCzOqkLR69evY8GCBXj48GGGX1cqlUhOluqI3r1745dffsG5c+ewfv16HD9+HDVq1MjO5eZInToBAwfK8e+/Z3zOq/1Fd+/OesinVstU6J07ZWtuTtekiYSjarU8F5cv6z5foZCtuA4OsvV+/frsWSfRy+7dk4D+wQOgZEmphPT01H2bFy+kp+a1axKq9O0rrSQMERsrlec//wx8+y1w8CDw5Im8obJ6tQSl5rB8uVTDKpXA8OHyGnVz032bhQslqC1USCbO29mZZ21ERERERESUM1hNKHrz5k3Ur18fo0ePxqJFi/DkyZPXzlGr1bB/aS+dq6srqlSpgsqVK6OQvr2jNuTjj+X6yJGMhy4BshV16lQJ+86ckW2qWXHnDvD4sRyfP5+1+8oOCgXQpo1M6U5JAUaMAF6a3ZWhYsVkKA0gAamttR4gywoNlUA0OFiqPOfN0z/E6Nkz+dm+eVNaa/TrJ699XZKSgIsXgXXrpIfu779Lr+KMrF8vAakp/LcRAIAMjfPxAX78EWjfXn/F5x9/yEWplHXb8IYBq6BWA+HhcmFVfhrN8wLkt/RSiIiIiIhyBKsIRWNiYjBjxgy0a9cOixcvxsyZMzF79uzXglHFf38Zz5kzB1999ZUllpor1KwJVKokYcXff2s/r27dtF6Z+/dLJVlmHT+ednz3rlSnZZfERKmcM/aPZzs7oHNnoEgRmSr/5Zf6K9+6dZOwJixMJngTZYfHjyUQvXlTfl6/+Qbw9tZ9m4gICe9v35Yqy/79gYIFtZ8fHg789hswfTqwZYtUahqyrt9+y3pwFR0tleYazZpJIFqunP7b3rkjbTAA2T7ftGnW1kKWFxsrP6sFC8oxidhYoHRpVwDhAFwsvRwiIiIiIouzilBUqVSiVq1aaNmyJYYMGYL169dj7ty5GQajEREROHXqFHbv3o2IiAgLrThnUyhkqjQggYWunqEdO6YNHtq4EbhwwbjHSk6WCi1NgOLjI9cHD2Zfhc/69cBPP0mQk5Rk3G0dHYEePaTiLjRUBtHoCnQdHaXyDpCehVu2ZHrZRAZJTpbX6dWrEhJ98w1QoIDu24SHy7bzu3dlUFifPkB+HcVlT58CS5YA584Zv74rV6R6NbM00+Vfvo/RowFnZ8NuGxAgb2q8/TYwdmzm10FERERERES5i1WEos7Ozujduze6du0KAOjSpQvWrVuHuXPnYtasWXj69CkAGcKkVCqxZMkSbNu2DV76povYsP79AVdX4MYN6RmqjUIBfPYZ0KiRbF/duhU4dMiwQPPJE+n9p6kS7dVLKtMUCglXjh0zybei0717aQNfLl0CVqyQoTLGcHMDPvhAthffuiX9F3UFo9WrAx06yHGPHrqrcYmy6uuvpRWGiwswd67+reEPHwLDhsmWdw8PCUR1VZVGRwO//JK1NeqqQNXl4kXpV6rZLm+MBw/k901YGPDGG8Cvv7KPKBERERERkS2xilAUkP6ggASfarUaXbt2xdq1azFv3jzMmjULoaGhGDVqFPr27QtXV1cUKVLEwivO2QoWBGbMkOOfftId8tnbyyCT/zJpHD4MbNsmFWranDsn21sfPZLhLdOnS7/CGjWATz6Rc/bvl1DWnF6dHP/woUyp1tcf9FX588v6NcHoqFG6w9UhQ4AGDWTrfsuWWe/JSpSRoCDp/QtIAKgvOLx3T97kePgQyJdPhirpeu8oMVGGEmWlP267dvIGjDHUauCvv6TSOiUFqFcPmD/f8Nvfvy+VsI8fAxUryhs5mQ1miXKrmJgYvRc1m7ISERERkRUzSSj6/vvv43wOmY5j91+pj0qlQrdu3bBu3TosWLAAzZo1w+LFizFx4kQ4OTlZeJW5w+DBQLVqUoW1bJnuc+3sgEGDpEpSoZBt9KtXAzExGZ//++8SmtasKVVm9eunfa1DBxlipFYDmzZpBkOY3uPHGfc9jI6WClZjtwIXKJAWjN68KT1GtX3/dnbAxIny/cfFAe+8A/z7r/HfA5E2z59LBbNKJT9fb7+t+/xbt4CBA6WCu0ABCUR1DWJSqYDNmyVAzayyZaVy2hiJidKqIzBQPu7WDZg2zfBg9d49CYifPAEqV5ZWHXyPjGxRoUKF4ObmpvPSqFEjBqNEREREZLVMEoq2bt0aHTt2ROfOnXH58uXUz9+7dw++vr6meAijKBQKKBSK1IrRRo0aITw8HKdPn0aNGjWyfT25lb098N13crx7N/DSP61W770nE6cdHGT77U8/pYWaDx6knadQAAMGyLmv9ipUKGT7btWq0uNz3TrzDMs4elT313/7TapVX55qrY8mTHJykh6OAQESembEyUnCnKpVJTxt2hQ4e9bwxyLSRq2WNynu3gWKFpXXky5Xrkj1cny8bK/v00d6ieq6/127sl7J/d57+ifDv+z5c9kuf/WqTIoPCJAg19Bt73fvpgWiVapIIMpJ80TaBQUFIZbTqoiIiIjISpkkFK1VqxYqV66Mbdu2oWrVqmjQoAHefvtt1KtXD86GTLswA4VCAZVKhREjRuDgwYM4ePAg/Pz8LLKW3MzfXwISQCY06xq6pFGrllSWFi0qIcayZVIZumZN2jnz5gHdu0uwkREHB9n2W7iwTHTftMmwxzbUixeGVYIePSqDmBISDL/vggWB3r3le7hwAZgwQarbMuLsLG0KfH2lQrVJE+mTSJQVq1bJNHY7O2D8eN1VlOfOSWiamAgULy4/uy56BlMfPgycOZO1NbZqpbsS9VX37knLjbAw2dr/7bfAu+8afvvLlyUQjYiQNyL++otb5sl2hYU9RnR0tNZLWFiYpZdIRERERGR2JglFe/XqBXt7e6xbtw6bNm1C27ZtcfbsWRQrVgz79+83xUNkmq+vL06fPo2qVatadB252axZaUOXdu0y7DYlS0qVaZUqUu158mT64UuVKum/D09PGRJjby+Tpf/4I1PLz5AxPTxv3JDt9BERht+mSBHgww9l7adOSc9VbZPtXVyAmTOlt2FkJNC4sVTCEWXGjRvS+gKQqmVdr7WTJ6XlRVISUKqUDDvLk0f3/Z85I6FoVhQvDtSpY/j5Z89K0BsfD5QrB3z/vbyRoE9ysoSfn34qvYqfPZPt+n/9JVXdZJ3s7SXc791bjkm8/Lx4errC1VX3hYiIiIjI2pkkFA0ODsbs2bPRuXNn/O9//0NAQACuX78Ob29vjB492hQPkSl2dnbo168fqhvbtI7SKVhQQjtAtsMbOlQlb16pCG3dWqZXjxxp/GOXKQNMnizH//4rIU5WxcamTbw3VHg4sGhR2qR6QxQvLj0d7eyAY8ck4NVW7ermBsyeLYHPs2dAs2bmHzJF1ic4WF5v8fES/nXrpv3co0eBMWPkZ7J8eaBHD8DRUff937gB7NiR9XW2bWvYtnmVCti3D9i+XY4bN5YK0UKFdN8uIkJC1G7dgK++Ai5dkkCoVy/gzz/l9xFZLycnYOVKubCFeBo+L0RERERE6ZkkFK1bty62b9+e7nNeXl5YuHAh1q1bZ4qHyDSFMQ3rSKtBgyRkiY7WP3TpZY6OwOjRMpBF36AXbfz9gY8/luM9e4wLJjOSlWB19WrjtreXKiXBjFIp1XWzZmnvUeruDsydK0Hww4cSjGb1eyXbcfGivFZu3pTQcOxY7b02T52Stg4qlVSSdu0q7R50CQ2VSfNZ1bixYdvW4+OldYWmqrt3b6m4NqQjS+/eEvw8fSotOKZMkR7Hq1cDXl5ZWj4RERERERFZCZOEorNmzcL48ePRt29fHD9+HImJiUhKSsLmzZu5BctKvDx06fffDRu6ZErdu0uoqlZLUGLMVvaXJSYaXyX6qi1bjAtGy5UDOneWyrj9+4H589O3EniZp6cEoyVKAPfvSzB6717W1kvW79gxoEEDCS5LlZKqZm3bwy9flgpRTSDaqZP+QUVhYca9GaJN/vxAo0b6z0tJkQD2xg1Z28SJ0ts4ox7EKpW8rl4eJpWcDNSvL/dx967cngOVbIdaLcPrYmK0/661RXxeiIiIiIjSM0ko+uabb+Kvv/7C9evXUb9+fTg7O8PV1RUTJkzAMH1jjynXaNBAehQCMgTp0aPse2yFQipOK1aUYHP9eu09OnW5fVv7NHhjbNkCBAUZ/odlxYrA//4nx7t2ScVocnLG5+bLJ20HihWT7dBNmkj1H1FGHj6UgUNRUUDlysDChdoD0eBgYMQI+dkrUwbo0EH7sDNAwsmdO4EffjDNWtu2NazH4/79Utnp4CBvxjRtqv3cxYuB6dOB69fTPhcYKO0BunfX3xKArE9srLQkcXOTYxJ8XoiIiIiI0jNJKAoA9erVQ1BQEEJCQrB3716sW7cON27cwLhx40z1EJQDzJ4t/QfDwiRcyc4BtY6OwLRpEhqGhwOnTxt/H8ZMu9bnwAFg2zbDw1k/P+D99yXg3bsXGDdOe0CbPz/wzTdpwWijRtlfnUs5n1otQ5WiouR1OXcu4OGR8bmPHskbCwkJ8nPVtavugDI2VrabZ+Z1lhE/P6mA1ufGjbRq7smTgQoVtJ8bFCSvQYUCCAhI+3yNGllaKhEREREREdkAk4WiGsWKFcPbb7+Njh07omzZsqa+e7Kw/PmBgwdlS/jDh8Dnn8vW3ezaiuftLcOLAJlIbaxChQzrZ2ioCxeAFSuAFy8MO79aNekxamcHnDghz5+22xYsKENlypSRQKthQ+DKFdOtnXK/9etlCJG9vWyJ19Zv8/lz4IsvgCdP5DWsb6hSeLgMVTNl64aGDfWfEx0NbN0qx//7n1SnaxMRISEwIG/Q8P03IiIiIiIiMobJQ1GyfsWKSTBatqwEowEBwMCBMkhI23R1U3r7bdny++iR8Vv4FQqpWDOlhw+BBQsMD5DeeEP6Izo5AdeuSaDz7FnG53p5ScVo2bJyTtOmwNWrplo55WZhYTIADQB69pTwPCOxsRKYhoRIFWnPnoCLi/b7vXULWLJE+89kZlSqpP/NCLVaAt74ePleNN+btnPnzJGw188P+Ppr062ViIiIiIiIbANDUcqU4sVlKvTIkUCePLLldfJkoF8/4I8/tPfLNAVPz7RhLWfOGH97U4eiGitWGL7VuHhx4KOPpLfb7dtSMapteJSnp/QYLVNGgrCmTSVMJdv26adAZKQE5prq6VclJsqU+WvXJITv1Ut+nrQ5eRL45RfTr9WQKtHjx6V3rp0dMH687krWnTulQt3BAfj1V/neiIiIiIiIiIzBUJQyrUAB2b56/75Md3Zzk2rJWbOkGu233ySUMYfWreX6wgXjA1hPT5nQbQ47dwK//25YxWz+/FIx6u4uE7KHD5ftzRnx9JSKUc1W+qZN0w+WIduyaROwebMEiGPGZNwbNCVFBhCdPi1f79VLfuYyolIBe/bIz66plSsHFC2q+5xHj2S4EgAMHQqULq393Hv3pJIVkN815nqTg4iIiIiIiKwbQ1HKMm9vYMoU4MEDCSkKFpSKxoULZfrzhg2yhffloPDRI+DOHemRefasVH0dOiR9Ng3pT1qrlgQ8cXGZCwerVjX+NobSVNsZMuXe21uCUQ8P2d78+efSzzEjmorR0qVly37TplKhS7YlPBwYMECOe/SQ0PFVarX0oz18WFpNdO8ubS8yEh8PrF0rrz1z0FR1a5OUBGzZIsFsgwZAu3baz01OlqA3IQFo3hwYNsy0ayUiIiIiIiLbwVCUTMbDQ4a5BAcDixYBPj6yJfyHH4C2bYH33ks7t29f2Wo/ZIgEgQEBEqx++SWwb5/+x7KzA1q0kOPMbKGvVMn42xgjOBhYuVKmguvj5SXBqKenVN0OHw48fpzxuXnzSjBaqhQQGirB6M2bplo15QaffSa9NEuXlurPjKxcCezYIccdOmjvN/rsGfDzz9JH1BxKltQ/cX7vXqmQ9vaW3x8KhfZzV6+WVgBubvI9KvlfMMqAnR3QqZNc7OwsvZqcg88LEREREVF6/JOSTM7ZWfod3rwpgUv58lIF9uo5+fNLaFKpklR+VqkiX1u5UqrH9GnZUq5v3ZLeisbIkwfw9TXuNsZ6/Fi+f229Ql+WL58Eo3nzStg5fLj2IVL58slW+pIlpTr3rbcYjNqK336TifNKpbyB4ODw+jnbtkl4CEibCW0/5yEhUk2qrTLZFPRViV65Apw6JccBAbr7nV68KP1DAWD5cunLS5SRPHmkxcSmTXJMgs8LEREREVF6DEXJbBwdpSL06lWpgLx7N+1r4eFyCQ4GLl8G/v1XBq0UKiRh4J49+u+/eHHZBq9WA+fOGb8+c26h13j+XAYwhYXpPzdvXglG8+WT7fHDh8t1Rl4NRps2NV+1H+UMERFpE9m7dQMqVHj9nP37JegEJCyvUyfj+7p/XwJ7cypaVHuFKiBvZGzfLsfduskbI9rExgIzZsibK716AV26mHatREREREREZHsYipLZKZXSz9DbW/d5Li7A2LFyvHy5VEzq06qVXJ84IcGJMcqWlYpVc4uOlgq3+Hj953p6SjDq5SVB6qRJr1fZanh5pQWj9+8D7dubb7AVWVZKigSiYWHy79279+vnXLsmwSEAvPkm0LhxxvcVFSWvL3Nr1Ej7Vvj4eKl4TUiQcLdfP+33k5QETJ0qvw9KlpTWHGSd1Go1YmJi9F6IiIiIiIhMgaEo5SgDB0rFWGSkBKTR0brPb9pUepdGR0vVmSFDmjTs7PRv7zWVqCjpnWgIDw8JvRwcZJBSYKD2c728pMdovnzApUvAzJmmWS/lHCkpQP/+suVVqQRGjpQq7JfFxQHTpsnPf8WK0loio0BSrZYt+OZWrlzGlayABPdr10oVdJ48wIQJGbcBAOR7nz5dqsidnIB163RvsafcS61Wo2HDhnBzc9N5KVSokN77iomRn3+FQo5J8HkhIiIiIkqPoSjlKE5OMiCmWDHZbj9lSvqp9RmdP3GihEXXr0t4Yox69SREyg5nzxo+Ld7DA6hfX45XrND9HHh7Sw9XAPjqK+DkySwtk3IQTSC6apX8jI8fD/j5vX7e4sVSLezhIdPbtVVoHj0K3L5t3jUXLQp07qw9lN2yRfqZOjpK1WexYhnfj1oNzJ8PHDoE2NtLmKt5TZD1iY2NxdGjRw0+39/fHy4uLmZcERERERERWTuGopTjFC0qwWiePNJrdPFi3eeXK5cWCu7fb9i2ew2FIm2KfXbYudOwbfSABECOjhIO//mn7nObNgX8/YHkZODtt2UoDeVuGQWiTZu+ft7hw8Dvv8vx//6nvSVEaChw4ID51gtIKNujx+uVrBqHD8ubF3Z20vqhXDnt9/XTT8Du3fK9r1+fNliNrF9YWBiio6N1XgIDA6HQlv4TEREREREZgKGoFmpj9mGTydWsKVtlFQqpENu2Tff5778PNGwo/Te3bJFehYbKm1cqRrODMdvo8+RJ296/apUEntooFNJuoFIlaT3QpInhVamU8xgaiIaHy/ZyQELxUqUyvr/ERHldmFvnzoCra8Zfu35dQlEAGDUK8PXVfj+HD8sWe0DC0Y4dTbtOytlcXV31XhiIEhERERFRVjEUfUlycjJS/tunzD+4LO/994FZs+R48WLdW+MVCmD0aKBgQZnSvXu3cf1Fs6u3KCDb6G/eNOzcN9+UkCk0FFi2TPe5Li7yfJUtK89B8+bAvXtZXi5ls5QUGTykLxBNSZHBSomJUl2d0Tkae/bIz4Q5tWoFFC+e8dciItJC2fbtdVd93ruX9rofNQro29e06yQiIiIiIiICGIqmunbtGvr06YPmzZujdevWOHfuHADjK0YTEhIQGRmZ7kKZN2qUBEQqlUygvnNH+7keHhIgKRTAhQvAf/+EBnFxkRAxuxi6jd7RUcImANi4UcJeXdzdgTlzZPhUSIh8Tw8fZn292c1WX0eaQHT1aglEJ0zQHnZu3AicOSP9Njt0kC3pGbl4UYJ4c6pSBahTJ+OvJSYCGzbIta8v8Mkn2u8nLk56BMfFAW+9JaEvERERERERkTkwFAVw6dIlNGzYEE5OTmjevDmePHmCbt26IS4uzuiK0RkzZsDT0zP14uPjY6ZV2waFAvj+ewlIYmOBgADg2TPt5/v5SagESID45Inhj1W3rgSr2SEyEti3z7BzfX3l+wdk0vyZM7rPz5dPzitcWCpS33kHePo0S8vNdrb4OsooENX8u7/q2rW0yuHWrWXYVkaePTP/tvn8+YG2bbUPVtq1C3j8WH4uJ03SPmlerQZmz5YeukWLSh9Re3vzrp2IiIiIiIhsl82HomFhYfjoo4/Qs2dPLF++HBMmTMDx48cRHR2NVatWGX1/AQEBePHiReolJCTEDKu2LY6OEuyULw+EhUlYlJio/fzu3aUnaXIysHkzkJRk2OM4OGgPoczhzBnDt9E3bizVeGo1MGaMTBrXpUABYO5cCawuXZJhUi9eZH3N2cXWXkfGBKJxccC0afKzULkyUL16xuepVMDWreZacZouXbQPVjpxQqq2FQoJRAsU0H4/W7bIpHk7O2DTJqBQIbMsl2yAnZ28WdC6tfYKalvE54WIiIiIKD2bD0XP/revdMCAAQCkr6hCoUCZMmUQExNj9P05OTnBw8Mj3YWyzstLKs7c3SXkmzVLe89QOzsZOpQnj4So+/cb/jjVqklf0uxi6DZ6hQJo1w4oVkwC4bFjpdpUl2LFJBj19AROnQLeew/IxI+0RdjS68iYQBQAvvtOQnEPD/k31VbMfviw/vA8qzp21B503r2bNlRsyBB5bWlz/rxUhAPA/PlAgwamXSfZljx5ZKfA7t1yTILPCxERERFRejYfirZo0QI9evRApUqV0n2+YMGCiI6OTve5ZF3jv8ns3ngD2L5dQs+//pKp9Np4ewNTpsjxyZNyMYRSmb29RSMj0yZy6+PgAHTrJmFYSEhaiKRLyZLSY9TVFThyBPjmm6ytl0xv5EjDA9HDh9P6yv7vf4Czc8bnhYUBf/9t8qWm8+abUr2ckcePgXXr5I2L5s11T4+/eVO+b5UK6NED+PRT86yXiIiIiIiI6GU2GYpqJsxrDB06FACgUqlg/18TO5VKhacvNWL84YcfsGvXLqMHL5FpNW2aFuwtXQo8eKD93DffBHr1kuPffzd88FL58rItObscOwY8f27YuW5uQKdOcrx3r4Rf+pQvD3z0kRybOygj4yxeDCxcKMdjx+oORB89Ar7+Wo4bNgRKldJ+7l9/mWqFGStRAnj33Yy/9vSphLwJCUDFihL6aqtmvXlTvh4ZKYOali7Vfi4RERERERGRKdlcKHrlyhUMHToULVq0wJQpU7DvpWk3CoUiNTB1cHCAi4sLAGDixIkYMmQIKlSoYPTgJTK9Tz+VcDQ+XrbRv5Jxp9O3r1TUAVJlevmy/vtXKID335cJ7tnl0CHDz/XxAUqXliq8DRsMu40m5P33X+1tByh77doFDBsmxx9/rLtCOSoKGD9e+uMWL647PL13D7h+3aRLTcfbG+jaNeOehM+fSyAaEwOUKSOvT23VrC8Hom++KYPHXF3Nt26yHTEx8rPk6pp7WoZkBz4vRERERETp2VQoevXqVdSvXx9RUVHw9vbGkSNH0KNHDyxYsACAhKKaLfL29vbw9vbGnDlzMHfuXJw8efK1LfZkGUol8PPPErZcuKB7urZCISFqy5YSBm7ZAty4of8xNFvVvbxMt25dzp0zrOpTo2FDud6xQyaM61OmjHxPz58Dt25laolkQqdPA507y5bxNm1kOJg2sbHAl1/Kv5urq2xF1zYkJTkZ2LPHPGvW+OAD4L/3i9KJjJRANDJSKknnzpVWDxl5NRDduxfIm9esyyYbExsrF0qPzwsRERERURqbCkWXLl2KZs2aYc2aNVi7di2WL1+OUaNGYcSIEZg1axYAGfACAI6Ojvjyyy8xZcoU/P3336hVq5Yll06vKFUK+C/LxvLlUh2njVIJjBol1XUqlVRXBgfrfwwXFwmAsosxW55Ll5ZBSikpwObN+s+3twfKlZNjQ/urknmEhMiApPh4oHZtYPhw7VvGExKAceOAK1cAJydpB6ErPNy/X7bZm0v//kC+fK9/PjkZWL9eAvqiRSUQzeg8gIEoUW4TExOj98LWQkRERESUG9lMKKpWqxEcHAxHR8fUz5UoUQJDhw7FvHnzMGHCBKxYsSLd+QBw8uRJ1K5dO9vXS/p9/LH0NUxMBGbO1L2NXjORvn59Oe/XX3X3I9Xw8krrx2lu16/LxG5DKBRp1aKbNgGvzATLUIUKcs1Q1HIiI6Uy9OFDCbYnTZLAOiNJSfL1s2elyvfDD4FChbTf97VrwIkTZlk2AKBLF9m6n5F9++R7cnIC5s3TPpE+PBwYM4aBKFFuUqhQIbi5uem8NGrUiMEoEREREeU6NhOKKhQKNG7cGOfOncOVK1dSP+/q6oo+ffrgk08+wbJly3D//n0AwIoVK3Dr1i1umc/BFArgp59kS/GVK8DGjbrPd3AAJk8GatSQyrbVqw3bsl6smGylzw4HDhje87NCBQmfkpKA334z7HxA+opS9ktKki3zFy5I2D5jhgzOykhKCjBtGnD8uAT6H3wgFZjaREZKpaa5dOwIaPtVeOVKWtA+eTJQuHDG5yUkyJT5p0+lxy0DUaKcy8XFBf7+/gafHxQUhFjuyyciIiKiXMZmQlEAqF27Ntzd3bFy5crU8BMA8uXLhzZt2uDixYsIeyklK126tCWWSUbw8ZEJ3gCwYgVw547u8x0dZYK3r69UmK5cCTx5ov9xKlQA2rbN8nL1un9fKv4M8XK16ObNsh1bl4oV5fr0ad1VtWR6ajXwySdSUZknDzB9uvaqT5VKBhT9/be0fujeHShZUvt9q1S6++pmVZcuQJUqGX/t2TNg2zY57toVqFcv4/PUamD2bPnZ9vAAdu5kIEqUkykUCgQGBiI6OlrnJcyYZthERERERDmMTYWiDRs2RPfu3bFhwwYsXboUt2/fTv2an58fSpQogYSEBAuukDKjd2/p0ZiUJNvo/5uVpZWzs5xXrpwEiWvWyAAifWrWlEo/c/vzTwm6DFGlioRLL14Au3frPtfHRwK5mBip7qPsM2cOsGyZBNnjx6dV7b5KrQYWLpTeoAqF/LyVLav7vv/+W3dP3azo1k17hWhKioSxSUnyJoOuNhO//io9c+3sgO3bZfAXEeVsCoUCrq6uei9ERERERLmVzYSiqv9Sps8//xwDBgzAxo0bMWHCBOzfvx937tzBvHnz8OLFC5ThX+u5jkIB/Pgj4O4ufTnXrtV/Gzc3CapKlkybmm1IX87KlaW3ozk9eSLT6A2hVAKaHY4bNkhApY2dHfDGG3LMvqLZZ9MmmR4PSLWoth2parX8HO/YIR//739p1b3aBAcDhw+bbKnpfPCB9vAWkFYPDx5I9fWECdp7owYGyjA0APjuOxl4RmROSiXQpIlclDbzfzn68XkhIiIiIkrP6v63OEXLvmClUpkajI4dOxYBAQGIjY1Fy5Yt0b59e2zcuBE7duxAYW0N8ShHK1oU+P57OV69Gjh1Sv9t8uaVYLRoUdkGvHGj/ipTQAbkDBwovUzN5cgRw3uLVq8uIW94uARQury8hZ7M78GDtBC9QwfpzanNgQMSbAPSqsHPT/d9p6SkBaim1quXVFJr8++/wLFjcjxxovZWAGfPSrsKAPj0U3ndEJmbszNw6JBcnJ0tvZqcg88LEREREVF6VhWKXr9+HQsWLMDDhw8z/LpSqUTyf6lX79698csvv+DcuXNYv349jh8/jho1amTncsnEevSQ6raUFJnaHRys/zYFCshWegcHICQE+P13w8LIwoWB/v0BT88sLztDERES1BrC3l6CUUC2Uuvi4yPXL3WOIDOaMEFaNPj6AkOGaD/v6VNg7lw5btJEWjXoc+GC4T8jxujdW/f29jNn0lo19OypvfL1wgUgIEAGLLVuDcyfb/q1EhEREREREWWW1YSiN2/eRP369TF69GgsWrQITzKYnqNWq2H/0h5PV1dXVKlSBZUrV0YhbaVOlGtoptH7+0vfzIAAw0IjHx/gq6/k9mfOGL61PF8+qQLUNkE8q27dMvxcTd/HoCAJobQpWFCu797N/LrIMOfPyyAvQAJRO7uMz1OrgW++kcFfRYoAjRvrv2+VSn9VcGb07w+UKqX96xcupFWndugA9OuX8XmXLknLgPh44N13pfeotu31RERERERERJZgFaFoTEwMZsyYgXbt2mHx4sWYOXMmZs+e/VowqlAoAABz5szBV199ZYmlkpnlySPTsMuUAR49kqE2iYn6b1e3btrW3j/+0D/FXsPLy3w9Ro2p5ixSRKZ6JydLMKqNpjvE3buGb88n48XEAB9/LM9xkybSi1abAweAo0elx1/79ob1+rt0SaqJTWngQKB4ce1fv3IlbdJ827ayHf6/X6mvnffll0BcHNCsGfDbb/K6JMouMTGyC6BAATkmweeFiIiIiCg9qwhFlUolatWqhZYtW2LIkCFYv3495s6dm2EwGhERgVOnTmH37t2IMHWqQDlCgQKyvdfNDbh8GViyxLDbdekCvPOOBFkbNhi+NblAAfP0Srxzx/Ap9ApF2hb6X37RfjtNpWh0NPD8eVZXSBlJSgK6dgVOnJDhX7p+Nm7eBGbPluMmTbT35nyZWm3aKlF3dxkApaud8vXrwObN8tgtWgDDh2cciF6/DnzxhQQujRtLVSl7F5IlPHkiF0qPzwsRERERURqrCEWdnZ3Ru3dvdO3aFQDQpUsXrFu3DnPnzsWsWbPw9OlTADKESalUYsmSJdi2bRu8vLwsuWwyo4oVJcQBgO3bDQuRFApg1Ci5bUICsG6d7q3oLytcGPjoo8yvNyMJCTKox1D16klv1Dt3tE8kz5NHBkwB3EJvDmq1hKC7dwNOTsD06VLFm5GICGDcOKnuLVsWaNjQsMe4ckWGaplCwYJA375A/vzaz7l1S94kUKmk8nP06IyrWW/elK9FR0sLi927zTuMjIiIiIiIiCgrrCIUBaQ/KCDBp1qtRteuXbF27VrMmzcPs2bNQmhoKEaNGoW+ffvC1dUVRbQlFWQ1WrSQkBOQKfNhYfpv4+go/UW9vSV42rbN8G3mxYoBffpkerkZMmYLvbMz0KCBHK9aJQOnMqKpRjx/Pmtro9eNHw+sWCGh4cSJQJUqGZ+XmChff/xYftY6dTJs27xarX+YlqH8/WWLf7582s+5dAlYu1YC0UaNpE9vRr1Rw8OBMWOAyEhpRfH77+brtUtERERERERkClYTimrY/fcXu0qlQrdu3bBu3TosWLAAzZo1w+LFizFx4kQ4OTlZeJWUXb7+GqhTB4iKkmNtQeHL8ucHpk6VkOraNeDgQcMfr2RJCUZNFQgZOyW+Xj0Jdu/eBQ4dyvicunXl+quvDOu3SoZZtEgqQwFgxIi0gPpVajUwb54Ejo6OQPfuhvfcvH7dsHBfFy8vGZD09tu6hx+dOCHV1iqVbO0fPz7j8+PigLFjgadPpXfqH39If1siIiIiIiKinMzqQlFABiopFIrUitFGjRohPDwcp0+fRo0aNSy9PMpGjo6yDd7FRSZnr1lj2O0qV5beiIBsvb90yfDHLFkSGDQIKFfO+PW+6t49w7fwAxKu+fvLsbZq0a5dpTrw5k3D+62Sbps2AcOGyXG/fkCbNtrP3bAB2LdP2jV06SKVooYwRZVonTqyvd/HR/fjHDwI7NkjH7dvD0yYIK+lV6WkyJsNN29KW4Zdu9LaMxARERERERHlZFYZigISjKpUKowYMQIHDx7EwYMH4efnZ+llkQWULQssWybHa9YAZ88adrsWLSS0AmQb/cOHhj+mqyvQo4cMbsqq4GDjzq9bV7bSh4QAf/31+tddXID+/eV44kTTTzG3NQcPAh98IGFi+/ZAz57az/3nH+DHH+W4ZUv52TTUrVtAaGjm1ujhAfTqBbRunXG4qaFSSbCpCV/79JGwN6Mt84C8roKCpJft778DpUtnbn1ERERERERE2c1qQ1ENX19fnD59GlWrVrX0UsiCevSQgEelAiZNkm3IhhgwQKrrUlKkt6IxU3sVCtlCra9voz737xt3vpMTUL++HG/ZkvE5LVsCZcpIW4F58zK/NluXkCDb35OSZNr60KEZT2UHpFXBzJlyXKuW/FwZw9Aw/1XVqgGDB8u/ty4qFfDbb8Dp0/Lx558DvXtr/37Wr5eqV0CqkjU/c0SWplQCtWvLxZBevbaCzwsRERERUXpW/b/FdnZ26NevH6pXr27ppVAOsGgR8OabMgxmxAjg4kX9t7Gzk2rKMmVkqvaqVcCjR8Y9btGismW5YkXj15w3r2zlN5bmNnfvZjwoys4O+PBDOV6xQiagk/G2bJEenwUKyCR5bRWVAHDkiPzseXoCrVppDxu1qVYNKFFCfiZ0Pc7LunYF3n9ff89SlUqqoS9ckHVNmgS0a6f9/I0b0ypev/5agmGinMLZGTh5Ui7OzpZeTc7B54WIiIiIKD0dYzasg8LY5IGslpsbsH8/0LatbA8ePVoCnZo19d/um2+AkSNlC/Py5UDnzsAbbxj+2E5OcpsdO4Bz5/SfnzevTPuuVs3wAOxlnp5yHR8PPH+ecaVqgwZy3sOHwN69uvtgUsZ++EGu33tP97Z0IK1HZ2b/TcuXlwsgQXdcnFT6ai6RkXIdHS3337SpDA3TJyUF2LoVuHxZqsemTAEaNtR+/ubNwPffy/GkSTJkiYiIiIiIiCi3sepKUaJXeXhIOPXuuxIYjhkDHDum/3aensD8+RKgJifL1uFjxzKuwtRGqZSek7VqaT8nb16p0Pv0U3mszIRngEwJ10wA19YL1cEhrefp8uWZexxbdvGiDOFSKqVXpy6PHgH//ivHpihcVyikN2yhQjLQq0YNmRD/3ntAt24SwBsaiG7ZkhaIfvWV7kB02zbgu+/kePx4CUWJiIiIiIiIciOGomRzXFykYrN9e+kFOWECcPiw/tu5uwOzZknwpFZLdeXu3RlPeNdGoZCKzFf7L74chtaokfkw9GWa6lBdw3k0Yd6OHbINnAyn2T7u768/gNy7V65Ll85af1lTSkkBNm0CrlyRQPTrr6V6WJsdO4Bvv5XjMWOAqVONbwFAlB1iY4FSpeQSG2vp1eQcfF6IiIiIiNJjKEo2yclJAqFu3aTyc+pU4MAB/bezt5d+pIMHy8enTgHr1knVqaEUCqnQfOcdoHhx04ehGprwTVulKCAhXcWKEpD98ovpHtvaxcRIL1ZAd+9NQPp1akLRnNLeODISWLMGuHZNAtEZM4B69bSfv2uXVEoD0nZi+nQGopRzqdXST1lbT2VbxeeFiIiIiCg9hqJksxwcJAjs21eCqxkzgH379N9OoQC6dJGtxvb20mf055+BZ88Mf2zNZPr+/U0fhmoYUikKyNAfQLbQ8w9lw6xbJ8FosWL6e9KeOyfBtJMTUKlS9qxPl8uXZQv83bvy8ztzpgwg02b3bmDePDn+/HOplmYgSkRERERERLkdQ1GyaXZ2wE8/AQMGSDA6cybwxx+G3bZhQ2DJEtk6HR4OLF0KhISYd73GMKRSFACaNZPA7soV4Phx86/LGmgGLLVtK5WWumgGLFWpIkG8pSQmyhb4TZvkuEIFqXatU0f7bTZvBubOlePPPpNwlIEoERERERERWQOGomTzlEqZpj14sFRKzp4t1XGGKF9egtHy5WUL/cqVwIULZl2uwQwNRd3cZEgPwIFLhvj3X2mb4OAAtGyp+9zoaOCvv+S4Rg3zr02b0FDpgXrmjHzcoweweLG0b8iIWi1V1JqhSiNGAAsWMBClzFGr1YiJidF7ISIiIiIiyk4MRYkgweh330lvT7VaquN27DDstgUKAAsXSuWoSgVs3QocOmT5reiaUPTxY6kM1EWzhf7XXyXIo4yp1cC0aXL81luAp6fu8//6S/q1FigAFC1q9uW9Rq0GjhyRauiICFnH/PnAxx/L1nltt1m2LC0gnzxZXg8MRCkz1Go1GjZsCDc3N52XQoUKWXqpRERERERkYxiKEv1HoZDp2sOGycfz5wPbthl2W2dnYMoUoGtX+fjwYRlOo1KZZ62GcHFJ264dHq773GrVpD9mXJzhVbK26Pvvge3bJUTv2FH/+YcOyXX16tkfKiYnA1u2AH/+KUFnkyYSjuoa9qRWA4sWSc9UQLbLT5rEQJQyLzY2FkePHjX4fH9/f7i4uJhxRUREREREREJLrRCRbVIoJAy1t5dA6NtvJVzq3Fn/bZVKYNAgCRfnzwdOnwaSkoD27c0zSEkfhSKtWlXf4ysUQK1awIMHsm5NuEtp7t0DRo2S48GDpSenPo8eybWPj/nWlZH4eGDDBiA4WH4uR4wAWrfWHW6qVFLxvGOHnPfDD9Jrl8hUwsLC4OrqqvMcFxcXKLKYwisUQOXKacck+LwQEREREaXHUJToFQoFMGeODB+aPl16hiYlSR9GQ7RtC7i6yjbrCxdk63qnTtq3K5tLSooEuoCsR58yZeQ6p/REzUnUagm84+JkYFKHDobd5ulTOXZzM+/6XvbiBbB2rbRNcHAAZsyQwFuXlBR5E2DPHvn5//lnoE+fbFku2RBXV1e9oagpuLgAly6Z/WFyHT4vRERERETpcfs8UQYUCgk1p0yRj5ctA1atMrxPaLNmwNdfS5XetWuyHVlfX09Ti49POzZkNypDUe1+/VUCQwcHYPRo/RPnASAmJu3fPDtCUbVahkB9950Eot7eEugbEojOmiXfn1IJrFnDQJSIiIiIiIisH0NRIi0UCmDiRKkWBWSy/PLlhgej9evLgBp7e+D2bZnm/XJQaW4JCXLt7GzY9v3SpeX6/n3g2TPzrSu3efwY+OQTOf7wQ6BECcNuFxEh105Oab1dzSU8HFixQvrBJiUBFSvKdPly5XTfLiVFfr7375dAdN064IMPzLtWIiIiIiIiopyAoSiRHgEBsrUYkIrBhQslTDJEjRpyvqMjEBIi1aYxMeZb68s0AayhVYpubkDBgnJ88aJ51pQbffYZEBkJlC0LdOtm+O00oag5q0STk4GDB6X/Z0iIBPCffiqBaOHC+m87dSrw118Smm/aBHTpYr61EmWX2FjA11cusbGWXk3OweeFiIiIiCg99hQlMsCIEUCePBI4bd8ugdf48RJ26lO5smxj/vRTGbyzciXQqxfg4WHeNWsqRY1p4Ve6tFRGXrwINGpknnXlJtu3y8AipRL44gvj+sKau59ocDCwa1fa49SvDwwbBhQqpP+2d+9K0H/hglSxbtkivXCJrIFaDVy+nHZMwtzPS4wB7/iZYpAWEREREZGpsFKUyEBDhkhA5uAABAZKb8noaMNuW7Ys8OOPQIECwJMnstXZ3FvUNZWixoSi7Cua5vlz+TcHgK5dgTfeMO72mrDS3d2ky0JcnEyIX7VKHsPLC5g8WXrY6gtEExKkBcRHH8m/cZ48EvwyECWirCpUqBDc3Nx0Xho1agQ1k2oiIiIiyiEYihIZoXNnYN8+CRrPn5et1eHhht22RAng22+BokUlcFuxwvDbZoamUtSYSkVNX1GGolIZGhoKFC8O9O5t/O012+dNNWxbrZYK3u++A86ckc+1bSvhaJMm0gNXl3//Bfr1k962ycnAe+8BV68CrVqZZn1EZHtcXFzg7+9v8PlBQUGI5d59IiIiIsohuH2eyEhvvQUEBUmYdOeObIufNQsoVUr/bQsXlmB01CjZ/rx8OfDuu0D16oZNNDdGZipFXw5F1Wr9QZu1OngQWLZMjkeNkmFJxtKEolmtFH38WP49rl1LC9FLlgRGjgT8/PTf/vlzCVIPHJCPixWTn8H//c92/32JyDQUCgUCAwP1Bp0xMTEoZEhvDyIiIiKibMRQ9D/Xrl3D2rVrcePGDTRr1gx+fn6oW7cuAECtVhvcAyshIQEJmhI9AJGRkWZZL1lWtWrA0aNAy5YSVg0fLj0ay5bVf1tvb2DBAuDLL+W2O3cCV65ISOXiYro1Pnwo18ZUijo7y/WLFxKm5ctnuvUYw9Kvo2nT5LpdO/m3zgzNko8ckeezZk39w49e9ugRcPiwVHNqKJXAhx8C3bsb1s/2wQNp8/DwoQSgQ4cCX31l/n62RGQ7FAoFXE1VEk9ERERElI24fR7ApUuXUL9+fVy/fh1KpRKLFi3CkCFDsHLlSgDyP/yG9sCaMWMGPD09Uy8+Pj5mXDlZUqlSEnjVri2h18iRwK1bht3W01Oq9QYPlsnfN28CS5dKiGUKly/L9n4AaNbMsNukpACzZ8txvXpA3rymWUtmWPp1lJIi11WrZv4+2reXHrLx8cDJk9JTdulSOdZU8WYkNBRYv17O1wSi/v7A2LHAb7/JVn5DAtHbt6W9w8OH0iv2+HFg4UIGokREREREREQAK0URFRWFUaNGYdCgQZg+fToA4NSpU3j33XcxZMgQPH/+HMOHDze4UjQgIAAjRoxI/TgyMpLBqBXLnx/Yvx945x3p2ThiBPDNN4ZVjDo6Al26SKg6caIEoj//LNvya9XK/NbmFy9keA4A9OhheKXj2rUSpDo7S99JS26ttvTrqGhRudYMS8qM+vWBN98ETp0Cfv9dhnM9fCiXvXuBypWBGjUkXFco5N//77+B69fT7qNZM6Bnz7S2Boa6fBkYMwaIipIt9nv3AkWKZP57IcpNFAppMaE5JsHnhYiIiIgoPZsPRdVqNcLCwlClShUAQFJSEmrVqoW3334bMTExWL58OcqXL482bdoYdH9OTk5wykwDQsq18ubNfDAKSBXfDz9IlWZgILB7NxASIoNwHByMW4tKBWzbBiQmAhUrAn37Gna7S5eA/wqj8eOPhq/dXCz9OtKEok+eZO1+7OwkGH3zTQmr9+8H9uyRKs4LF+SSN6+0KbhzR26jUABvvy1haIkSxj2eWi0/QzNmSDVq/fry82SpNghEluDiIj2bKT0+L0RERERE6dn09nm1Wo3nz58jMjISz549AwA4ODjgzp07OHv2LNq1awcPDw/s3bs39XyijGiC0Tp1pJfkiBHSL9RQbm7AlCnAoEESip0/D/z0k/GVikeOAHfvAvb2wPjxcq1PTAzw9dcSqHbvLmGcrTNFpeirPD2BTp3k3/WHH6Rfqaur9G69c0f+3Vu0kGnyY8caH4iGhAABAcCkSRKIvvuu/EwyECUiIiIiIiJ6nU1XiioUCpQoUQK9evXC0KFDcenSJRQqVAhz5szBhx9+iAEDBkChUGDatGmYPn06BwmQTnnzAvv2SbB14oQMX5oyRaoEDaFQAF27AhUqAFOnytTxH3+UAUyVKr1+vlot4VdkpGyTfvoUOHRIvjZ6tEwZN8TChbKlu1Qp4Pvvua0SMF2laEYUCvk3rlBBespqttU3b274v9nL4uKANWuATZuA5GQJwkeOlJ89Fq0TERERERERZczmQtGQkBBcvXoVT548QfXq1VGpUiVMmjQJzs7O2LVrF65fv46JEyfiiy++ACBTsAsVKgQ3Y0Z4k83Kmxc4cADo2FGq9MaOBUaNkin1hqpeHVi2TILR8+eBjRvlc3nySPgZFZUWhGoGAr2seXPZym+I/fvlolRKH1FPT8PXac3MUSmakTx5DP+3epVaDfz5pwTnmvC2VStgwQLgjTdMtkSiXCcuDmjcWI7//lv6JBOfFyIiIiKiV9lUKHr+/Hm8++67qF69Ok6ePIk33ngDFSpUwMqVK/HFF19g8ODBcHBwQJ48eVJvc/nyZZQsWRIJCQlwdHQ0eOAS2S53d2DXLqB/fwkaZ82ScK1HD8OrML29gXnzZKv1hg3A2bPaz/XwkIFP+fNLL9CePQ17nNBQCdAAGfTk72/Y2mzBy6GoWp3zqmdv3gQWLZLQHJC+tAsWSB/anLZWouymUkl/Z80xCT4vRERERETp2UwoGhYWhm7duqFfv36YMmUKnj9/ju+++w5Tp05FeHg4du/eDXd3d6T8V3p3/fp1LFmyBL/++iuCgoI4PImM4ugovSGLFpUBSj/9BISHA0OHyvAdQ9jbS4/RatVki/XL4ae3d9q1o6Px60tJkT6isbESho4bZ/x9WDPNpPb4eOm5mlMKxSMjgRUrgB07JNRwcgImTJDt8i+9l0NEREREREREethMKHr9+nU4OTlh6NChcHBwQIECBdC1a1f8/PPPOHbsGNq2bYudO3fCzs4OT58+xaFDh3D69GkcPnw4dTI9kTGUSqkSLVZM+otu3w5EREgAaUzGXr++XExp1Srg8mUZ9PPLL4YNZLIlrq7SSuDFC6kWtXQo+vSpVB9v3SrBKAB06QLMnQv4+Fh2bURERERERES5kc1Mn09ISMCzZ88QGhqa7nNFihTBxIkTcf36dWzcuBEA4O3tjQ4dOmDHjh2oXr26hVZM1uKzz2QLvIODVHyOHSu93Sxl924JQgGpYC1VynJrycmKF5drzXZTS/nnH6BfP2DlSglEq1QB/vpLfqYYiBIRERERERFljs2Eom+88QYUCgUWLVqEDRs2IDAwEG+99RbeeecdDBs2DHnz5sXp06dTz8+fPz/y5s1ruQWTVencWSbTOzsDp08DY8bItuzstm6dVBeq1RLWduuW/WvILfr1k+sffwSuXcv+x09OBn74QUL0yEgZtrVqFXDmDNC0afavh4iIiIiIiMia2EQoqlarUaJECWzcuBFnzpzB2LFj0aNHDwwaNAjTpk0DAJQuXRohISEWXilZs7fekgo/V1cZkDN6NBAdnT2PrVZLwLZ0qXw8ZkzakCXK2OefA+3bA0lJwKRJadvWs0NYmLRc2LBBPv7sM+DYMeDDD9nqgIiIiIiIiMgUbOLPa4VCAZVKhTp16mD//v1ISEhATEwMKlasCABITk5GZGQkGjZsaOGVkrWrVw84fBho1gy4cgUYMUImv2u2aptDSopMst+zRz6eMwcYNcp8j2ctFArZsl67NnDrFjB9ulyUZn4r6ehRYOZMICpKAvTVq4EOHcz7mETWJn9+S68gZ+LzQkRERESUxuoqRVUqVeoE+Zc/p1QqoVarUbBgQfj4+KQGoqGhoZg8eTJOnjyJzp07W2LJZGNq1QL+/hvImxe4cQPo21eqOM1RNZqYCEyeLIGoUgn8/DMDUWPkzQts3gw4OgLHjwO//mq+x0pKApYskUFcUVFAnTrAhQsMRImM5eoKhIfLxdXV0qvJOfi8EBERERGlZ1Wh6OXLl/Hhhx+iRYsWGDx4MHbv3g0AUCqVSElJgUKhSHf+nTt38N133+Hnn3/Gvn37UL58eUssm2xQtWoywKdVK+kduWGDbI3evVsqO00hJka2yR85IkOetmyRAJaMU7269BUFgBUrzDN46dEjYNgwYNMm+Xj4cPl3K13a9I9FRERERERERFYUil67dg0NGjRASkoK6tSpg3/++QeTJ0/G559/DgCws7NDYmJiutsULFgQHTt2xPHjx1GjRg1LLJtsWNmywO+/SxBaoQLw7JkMQRo8GDh3Lmv3/fy5bM0/cwZwcQH27gXef98Uq7ZNffoAH38svVmnTQMeP878faWkSAh66hSwYwfw/fdy31euAG5uwLZtwPz5Up1KRGRtYmJi9F7UarWll0lERERENsAqeoqq1WqsXr0aLVq0wLp16wAAY8eOxbfffovNmzdjwIABWLp0KRz/Sxl27NiBevXqoWDBgqhZs6Yll06E1q2Bd94BvvsOGD9ettQPHw40aQIMGgQULmzc/YWFyRCnkBDA0xP480/Zsk9Z8+23EmSePi3/Tk2bSgWuvX3665ePk5KA0FC5PHgg1w8fSnXwq958UyqGS5XK9m+NyKrExUkVPiCtQ5ydLbuenCKnPC+FChXSe46/vz8CAwNf2+FDRERERGRKVhGKKhQKhIaG4tGjR6mfc3d3x2effYY8efJg/fr1mDlzJsaMGYPdu3fjk08+Qe/evTF16lQozT01hcgADg4ShH7wgQxeWrpUBjIdPQp06wZ0727YH7B370ogGh4OlCgB7NsnVaiUdXnySH/RatUkuL5xI/P35egoW+PLlZNL1apAz56sDqXcRa1WIzY2Vuc5MTEx2bSaNCqV/P7UHJOw5PPi4uICf39/BAUFGXR+UFAQYmNj4crmp0RERERkRrk+FFWr1VAoFKhZsyZu3LiBa9euocJ/KZC7uzv69euHa9euYefOnRgxYgTatGmDfv36oXfv3gxEKccpUEC2Uw8eLCHpwYPAmjXA1q2Al5eEZnnyAE5Or18cHSUEjYwEKlWSLfM+Ppb+jqxL6dJAYKCE1rGxMsgqIUGuX75oPqdUpoWfZcumhaDFiwN2dpb+bogyT61Wo2HDhjh69Kill0K5gEKhQGBgoEEhuiGVpEREREREppDrQ1HN1qrWrVtj6tSpmD17NhYuXAg3Nzeo1Wrky5cPEyZMQMmSJbFv3z689957mDJlioVXTaRb1aqy7f2334CRI4E7d2RwkiHq1JFepfnzm3WJNqtaNWl1QGTLYmNjjQpE/f394eLiYsYVUU6nUChY+UlEREREOUquD0U1ypYti40bN6JVq1ZwdnbG5MmTkf+/VMjBwQFVq1aFt7e3hVdJZDiFAvjf/4A2bYCLF4HoaOkJFxur/drbGxgyBHB3t/TqichWhIWF6Q27XFxc2B+SiGxCeHg4+vTpg0OHDqF48eJYsmQJmjdvbvS5CQkJGDx4MA4cOIDnz5+jcuXKmD9/PurXr5+d3w4REZFVs5pQFACaNm2KTZs2oXPnznj48CG6dOmCqlWrYvXq1Xj8+DF8uJeYciFHR4DzwIgop3J1dWUFIBHZlD59+uCtt95Cnz59XvvaJ598gsKFCyM8PBwHDhxAly5dcOPGDXh5eRl1bnJyMkqVKoUjR46gePHi2LhxI9q2bYvg4GC4ubllw3dJRERk/ayuqWbbtm1x9OhRPH36FF9++SXatm2LrVu3Yvfu3ShevLill0dERERElC1UKhWmTZuGsmXLwsHBAWXLlrX0kqxadHQ0fvvtN0yZMgUuLi5o164d/Pz8sH37dqPPdXV1xcSJE1GiRAkolUp069YNjo6OuHbtWnZ/W0RERFbL6kJRAKhZsyZ27NiBQ4cOYdu2bQgKCkKNGjUsvSwiIiLKBi4ucqH0ctPzEhMTo/eiVqstvcwcb8mSJZg4cSI6dOiAn3/+GT/++KOld3pCmwABAABJREFUl2SwhIQEfPnllyhatCicnZ1Rt25d7N+/36DbHjp0CAqFIsPLsWPH0p0bHR2NSZMmoWXLlvDy8oJCocDKlSszteYbN27Azc0tXSGGn58fLl26lKVzNedHRESgXLlymVobERERvc6qts+/zMPDAx4eHpZeBhEREWUjV1fDB9PZktz2vBgyhd7f3x+BgYHsV6vDihUr8M4772DOnDmWXorR+vTpg82bN2P48OEoX748Vq5cidatW+PgwYNo2LChQffx2WefoU6dOuk+92qo+OTJE0ydOhUlSpRAtWrVcOjQoUyvOTo6+rW/Pzw8PPD06dMsnRsXF4eePXsiICAAnp6emV4fERERpWe1oSgRERER5R4uLi7w9/dHUFCQQecHBQUhNjaWPW21iI+Px7lz5zBlyhRLL8VoJ06cwPr16zFnzhyMGjUKAPDhhx+iSpUq+OKLL3D06FGD7qdRo0bo1KmTznOKFCmChw8fonDhwvj3339fC1E13nvvPRw5cgQAEBsbi40bN2L48OEAgDFjxmDMmDFwc3NDZGRkuttFRkZm2APU0HOTkpLQuXNnlCtXDhMnTtT5vRAREZFxrHL7PBERERHlLgqFAoGBgYiOjtZ5CQsLs/RSc7z+/fvD2dkZKSkpGD9+PBQKRa6aWr5582bY2dlhwIABqZ/LkycP+vfvj3/++QchISEG31dUVBSSk5O1ft3JyQmFCxfWez+7du3C8+fP8fz5c/To0QNLlixJ/XjMmDEAgPLlyyM6OhoPHjxIvd3Fixfh6+v72v0Zcq5KpUKvXr2gUCiwatUqVkUTERGZGCtFiYiIyGrExwMdO8rxli1AnjyWXU9OkVueF4VCwcpPE/jggw/g4OCAH3/8EQsXLoSXlxdKlixp1sdMSkrCixcvDDrXy8sLSqX22owzZ87gjTfeeG17+ZtvvgkAOHv2LHx8fPQ+Tt++fREdHQ07Ozs0atQIc+bMQe3atQ1aY2a4ubmhffv2mDRpEhYtWoQ///wT58+fR/v27TN17sCBA/Hw4UPs3bsX9vb8s42IiMjU+F9XIiIishopKcDvv6cdk+DzYluaNWuGP//8E66urvj00091BpCmEhQUhKZNmxp07p07d1CqVCmtX3/48CGKFCny2uc1nwsNDdV5/46OjujYsSNat26N/Pnz4/Lly5g7dy4aNWqEo0ePmnUA65IlS9C7d294e3ujePHi2LBhA7y8vAAArVq1QqNGjTB27Fi95969exc//fQT8uTJg/z586fe/549e9CoUSOzrZ+IiMiWMBQlIiKiVGq1GrGxsTrPiclNE3vIqhnys+ji4mKT247Pnz8PX1/fbAlEAaBatWoGT4fXt109Li4OTk5Or30+z38lznFxcTpv36BBAzRo0CD143bt2qFTp06oWrUqAgIC8Mcffxi0Tm10TacvUKAAfte8A/GKPXv2GHxuyZIloVarM71GIiIi0o+hKBEREQGQQLRhw4YGDzEhsjROqdfu3LlzaNGiRZbvp1SpUvjll1/0TnzPly8f3n777Sw/HgA4OzsjISHhtc/Hx8enft1Y5cqVQ/v27bF161akpKTAzs4uy+skIiKi3I2hKBEREQGQicrGBKL+/v5wcXEx44qIXpeZKfXh4eE6e5VaW/Xz8+fPERISAj8/v2x7zMTERERERBh0boECBXSGkkWKFEk3gEjj4cOHAICiRYtmao0+Pj5ITExETEzMa/1KiYiIyPZw+jwREZENiYmJ0XnRCAsL0zsF3Bar78jyMjOlvlChQnBzc9N6yWzIllOdP38eAFC1alUAMsX8s88+Q/78+ZE3b17UqVMHT548AQBMnz4dJUuWhIeHB+rXr596WwD46KOPcO/ePbz77rtwc3PDr7/+qvUxjx49iiJFihh00Tc9vnr16rh+/ToiIyPTff748eOpX8+M27dvI0+ePHBzc8vU7Q0RHh6ONm3awNXVFRUqVMCff/6Z6XMHDBiAIkWKwMPDA35+fti5c6fZ1k1ERGSLWClKRERkQwwNf1xdXTkFnHIsQ6bUG1tRak3OnTsHIC0U3bdvH44ePYrbt2/D1dUV586dS+3PWbFiRfz777/ImzcvvvrqK3z44Yc4e/YsAOCnn37CgQMHDNo+b8qeop06dcLcuXOxdOlSjBo1CgCQkJCAFStWoG7duukmz8fGxuLevXvInz9/6kCi8PBwFChQ4LXnZMeOHWjVqpVZ+6x+8sknKFy4MMLDw3HgwAF06dIFN27cSB2gZMy5I0aMwKJFi+Dk5ISTJ0/i7bffxu3bt+Ht7W229RMREdkShqJmpmmQ/uo73bYoOTk5dXhHZGQk7O3542frNK8LfYME+DoifWz594uxryND1K1bF8nJybnyNffyLujISNuctJ7R68FWn5fdu3frHRwGAFFRUahQoYLVDLY5f/48ihUrlhquOTg4ICoqClevXkWdOnVQs2bN1HM7dOiQejx27FhMmzYN0dHRRldTmrKnaN26ddG5c2cEBATg8ePHKFeuHFatWoXg4GAsX7483bknTpxA06ZNMWnSJEyePBkA0LVrVzg7O6NBgwYoWLAgLl++jKVLl8LFxQUzZ8587fEWL16M58+fp06137lzJ+7fvw8AGDp0KDw9PQ1ad3R0NH777Tfcvn0bLi4uaNeuHfz8/LB9+3b07dvX6HMrVqyYer5CoUBiYiIePHjAUJSIiMhEbOevRguJiooCgHTvaBNRelFRUTr/4ODriEg/Q19Hhjh+/Djy5s1rglVZlpXtiDYZPi/a6Xsd5Rbnz59PrRIFgObNm2PQoEEYMGAAHj16hJ49e2LGjBlwcHDAsmXLsGDBAty/fx8KhQJqtRpPnz416xZzQ6xevRoTJkzAmjVr8OzZM1StWhW7du1C48aN9d72/fffx6+//opvvvkGkZGRKFCgADp06IBJkyahXLlyr50/d+5c3L17N/XjrVu3YuvWrQCAnj17GvwzcePGDbi5uaF48eKpn/Pz88OlS5cyfe6QIUOwYsUKxMfHo3Xr1tnaJ5aIiMjaKdTW8pZ4DqVSqRAaGgp3d3ez9F2LjIyEj48PQkJCckXD+Ny2XiD3rTk3rVetViMqKgpFixbVuZUto9dRbvo+gdy3XiD3rTm3rRcwzZqz8jqylNz2b5Xb1gvkvjVber2Gvo6sQUhICFq3bo2RI0firbfegq+vLw4fPoyaNWsiISEBrq6uuH37NkqVKgUAKF26NNasWaN3+zwBgYGB6NWrF4KDg1M/N27cODx9+hQ//PBDps9NSUnBoUOHcPHiRQwbNsyc3wIREZFNYaWomSmVynTvAJuLh4dHrvijRyO3rRfIfWvOLes1pPpC1+sot3yfGrltvUDuW3NuWy+Q9TVn9XVkKbnt3yq3rRfIfWu25HqtoUJUm3///RdqtRo1atSAu7s7HBwcYGdnh+joaCiVShQoUADJycmYNGnSa7ctWLAggoODbT4Ubdiwodb+tOPGjcO0adPg5ub2WtuRyMjIDKtujTnXzs4OzZs3x4IFC1C+fHm0bt06C98JERERaVj3W+FERERERDbuxYsX6NevH/LmzYsKFSrA398fPXr0QJUqVTBw4EBUrVoVpUqVQunSpeHo6Jjutl9++SXGjBmDvHnzYu3atRb6DizvyJEjUKvVGV6mTZsGAChfvjyio6Px4MGD1NtdvHgRvr6+r92fMedqJCcn4+bNmyb8roiIiGwbQ1EiIiIiIivWvHlzXLhwAdHR0QgLC8OiRYtgZ2cHQPppvnjxAqGhoRg8eDDi4+NTt84DMojp/v37eP78OXr06GGh7yB3cHNzQ/v27TFp0iTExcVh165dOH/+PNq3b2/0uS9evMDatWsRHR2N5ORkbNq0CQcPHjSopyoREREZhqFoLufk5IRJkybBycnJ0ksxSG5bL5D71pzb1ptZue37zG3rBXLfmnPbeoHcuWZTyG3fd25bL5D71pzb1kukzZIlSxAaGgpvb2+MGDECGzZsgJeXFwCgVatWmD59ukHnKhQKLFu2DMWLF4e3tzdmzpyJtWvXonr16pb4toiIiKwSBy0RERERERERERGRTWGlKBEREREREREREdkUhqJERERERERERERkU+wtvQBrp1KpEBoaCnd3dygUCksvhyhHUavViIqKQtGiRaFUan+Phq8jIu34OiLKOr6OiLLO0NcRERFRTsFQ1MxCQ0Ph4+Nj6WUQ5WghISEoXry41q/zdUSkH19HRFnH1xFR1ul7HREREeUUDEXNzN3dHYD8z4GHh4eFV2NZycnJ2LFjBwCgXbt2sLfnj5+ti4yMhI+PT+rrRBu+jkgfW/79wtcRvcqWXw+ZxdfR61JSgKNH5bhBA8DOzrLryWn4/LzO0NcRERFRTsH/SzYzzdYqDw8Pq/+fZ32Sk5Ph4uICQJ4P/pFGGvq2IPJ1RPrw9wtfR5SGr4fM4+sovTZtLL2CnI3PT8bYWoKIiHILNnshIiIiIiIiIiIim8LSASIiIiIiSicpCVi6VI4HDAAcHCy7npyGzw8REVHux1CUiIiIiIjSSUwEPv1Ujvv0Yej3Kj4/REREuR+3zxMREREREREREZFNYShKRERERERERERENoWhKBEREREREREREdkUhqJERERERERERERkUxiKEhERERERERERkU1hKEpEREREREREREQ2xd7SCyAiIiIiopzFyQnYtSvtmNLj80NERJT7MRQlIiIiIqJ07O2BNm0svYqci88PERFR7sft80RERERERERERGRTWClKRERERETpJCUBv/4qxx98ADg4WHY9OQ2fHyIiotyPoSgREREREaWTmAj07SvHnTvn7tBPrVYjNjbWoHNdXFygUCj0nmdNzw8REZGtYihKRERERERWSa1Wo2HDhjh69KhB5/v7+yMwMNCgYJSIiIhyN/YUJSIiIiIiqxQbG2twIAoAQUFBBleVEhERUe7GSlEiIiIiIrJ6YWFhcHV1zfBrMTExKFSoUDaviIiIiCyJoSgREREREVk9V1dXraEoERER2R5unyciIiIiIiIiIiKbwlCUiIiIiIiIiIiIbAq3zxMREVG2CgsDbtwA6tQBnJwsvRoiyoiTE7BxY9oxpcfnh4iIKPdjKEpERETZIjQUmDUL+OEHIDER8PICevQA+vYFatQAFApLr5CINOztgc6dLb2KnIvPDxERUe7H7fNEViAlBThxAti/H0hOtvRqiIjSu38f+PRToFQp4NtvJRB1dgYiIoDFi4FatYDq1YH584HHjy29WiIiIiIisgUMRYlyqTt3gKVLpUqhQAGgbl3g3XeBBg2AS5csvToiIuDePWDwYKBMGeC774CkJKBKFWDOHGDnTqkabdoUcHAAzp8HRowAihYF3n8f2L5dziciy0hOBjZtkgvfcH0dnx8iIqLcj9vniXKJ58+Bv/6SatD9+4Fbt9J/3dUVUKuBkydlG+rkycDo0RI2EBFlp+BgYMYM4Oef08KCatWA3r2lIlSzTf7NN+USFSW/3/74A7h6VQLR7dvlDZ/evYFx44C8eS30zRDZqIQEoEsXOY6Olu3ilIbPDxERUe7H/3wT5XC//QbMnClhp0qV9nk7O6ByZdl2Wrs2ULGibEX95hvg2DEJEbZsAVasAKpWtdjyrc6XXwI//SSVb5Ury6VSJbkuXVr+XYhs1b17wNSpwMqV0tYDkDdpPvxQwlBt3N2B9u3lcucOsHcvsG8fEB4OzJ0LrF8PrFoFNGuWHd8FERERERHZAoaiWqjVaig48YEsSK2WSqtx49I+V6JEWgharZpUh76sQAFg+nSpJF28GDh9Ws4fPx4ICAAcHbP3e7A2ixcDs2fLcUQE8O+/6b/u5CThtCYkrVkTaNmSQSlZP7Va3iwYNgyIi5PP1a4tYaifn3H3Vbo0MGgQ8PHHwPHjwPffS0/S5s2Bzz+X33F58pj+eyAiIiIiItvCUPQlKSkpsPsvvWAgSpaUmAgMHCjVVgDQoQPQtStQsKD+2yoU0lu0Vi0ZWhIUJFvpt22TqtEaNcy5cuv1xx8S+AAS9JQtC9y9K9uE792TS0ICcO6cXDRq1gQWLgQaNrTIsonM7sED4KOP5DUCAL6+0kfU1zdr92tnJz2Sa9SQafU7dsjvtH37gF9+0V15SkREREREpA9D0f9cvXoVc+bMQWxsLNzc3DBx4kQUL17c6HA0ISEBCQkJqR9HRkaaeqlk5SIiJAQ9fBhQKoHPPpMtpcby9ga++go4eFBCuXPngDp1gLFjpXI0J1eN5rTX0eXLQKdO0r6gZUugT5+0nogaKSlAWFhaUHr3LnDkiFTrNmokofbs2VLtS5QdzP06UqslnBwyRPrpOThIONrx/+zdd3zM9x8H8Ndd9rSiJPbeJBQlsbeglFLVmrVVUVvNUmq0RtGi1C5as0pVFRH7J/aoWWrEHhkyLvf74+VcIje+l9wlueT9fDzucZf43t0n576XfN/f92hr3exoNzdmiL7zDgc0nTvHz7LJk4GhQyUTWwghhBBCCJEyMn0ewKVLl1CtWjW8fPkSTk5OCAsLQ6VKlbBs2TI8efLEoseaOnUqsmXL9vpSoEABG61aZEZXrgA1ajAg6u7O8vmUBER1VCr24Fu2DKhTh4G7L79kFunp09Zbt7VlpP3owQOgRQsgMpK9WYcMSR4QBRiY8fPj/1/HjsDIkQwYtWzJ7detA0qWZNZuVFSa/xgiC7LlfhQeDrRpw6zpiAi2jVi8mENHbBWkrFGDg5uCgji8aeRITq6/ccM2zyeEEEIIIYTI3LJ8UFSr1WL27Nlo0qQJVq9ejRUrVuD48ePo0KEDvvjiC6xevRovXrxQ/HijRo3Cs2fPXl9u3bplw9WLzOSvvxis/OcfIE8e9q+sVs06j50zJ4NxEyZwgvPZs+z399131nl8a8so+1FMDLN2r19nwHPSJGbDKZU9O4OoixaxB2xMDDBxIgNIS5dyynZcnM2WL7I4W+1HGzcywL9lC6ct9+jBz5JChazy8CZlz879cPhwZpCGhLBM/4cfAAvPYQohhBBCCCGyuCxfPq9SqRAZGQk3NzcAQFxcHJycnLBw4UK4uLhgwoQJKFmyJBo3bqxo+JKLiwtcXFzSYukiE4iK4lTlhQv1Q3tKlwamTGEg09rq1GFwbvp04NAh4NNPWc7dqpX1nys1Msp+tGIFS+A9PJi1my1byh6neHH2Qty/n//Xt24xkAQwqFSuHEuQu3ThsCYhrMEW+9Hly8D777OVRLFizNYsXtyqT2GWSgU0a8aeolOnAmfOcDBTv37MIm3Zkp9pJUum7bqEyGycnVlporudlURGRprdxsnJHcuW8bggq70+QgghRGaRpTNFExISAAA5cuTA4cOHAQBOTk6ve7DNnj0b9erVw4ABAxAXFyfDl4RVLVgA5MvH4Njx48xAbNGCwTNbBER1smdn0FVXlj9rlu2ey9799x+vGzRIfS9QlYpB6eXL+X9eogQnaMfHs99r795A0aL8/1dwLCZEuti/nwHR0qUZ4E/rgGhivr7cX/r0AQoU4Lr27weGDQNKleJl2DB+Lz4+/dYphL1ycmIP7a5dLauSyAzy5MkDT09Pk5f69WuhSxdtlnx9hBBCiMwiSwZF//33X9y+fRtqNX/8ESNGQKvVomPHjgCYXRMdHQ0AmDRpEl68eIFDhw6l23pF5qLVctBR//7A06c8sO/VC1i/Hvj8cwbKbE2lAjp1Yu+//fuBsDDbP6c9evmS19b8P3FxAT76iCX127czU7h/f8DHB7hzh+X2hQpxiMzTp9Z7XiGs4dgxXvv7Z4wggIMDh5itWAGsXcvBdG+/zQzsf/4BZs7kyYg8eYCPPwY2bABk/qEQwhB3d3cEBgYq3j40NBRR0iRcCCGEsGtZLih68uRJVKlSBSEhIa+/99Zbb2H06NE4ffo0eryqadWV0zs5OcHd3R2uaRGpEpmeRsMSzylT+HWPHhzG07EjMzjTUu7cDBYAnE4vktMFRW0V/FGrGaxp1w5YvZpBcT8/4NEjYOxYZhKPGgXcv2+b5xfCUrqgaOnS6bsOQ/Lm5fCnGTOAzZuB8eOBRo0Ab2/g8WN+1rZvz31OVxIshDAuPp4n77ZvzxrZ1iqVCiEhIYiIiDB5CQ8Pf3UPB+zc6ZBlXh8hhBAiM8pSPUVPnTqFmjVrol+/fvjggw9ef9/R0RFt2rRBVFQUZs+ejYYNG+K7776DRqPB+vXrodFokD9//nRcucgMYmM5qXndOmZqDhqU/r0827UD9uwB1qwBpk1jUEHo6YKiadErzNmZ7ROaNQP+/ptB0hs3+P/yzTcsrx82jGXCQqSHly/Z6gFgaXpG5uEB1K3Li0YDnDsHHDzIy61bQPfuwNGjwOzZ0sdXCGNiYvh7CQAiIpiBndFotVqz2ZpK+oPqqFQqeHh4KNzaBe3aMWkio74+QgghhDAty2SKXrp0CdWrV8eIESMwc+ZMaDQahIaGYtOmTTh16hSyZ8+OXr164fvvv8ezZ88QFBSE1q1bY9WqVdi4cSP8/PzS+0cQdiwykj08163jH81ffJH+AVEAKFOGQ37i4oDvv0/v1WQ8aRkU1XFwABo2BH78EfjyS2bkxcYC8+ZxsM3q1Wm3FiESO3WKAcbs2ZltaS8cHICKFdl79KefGBBVqfiZV7cucPt2eq9QCJESWq0WQUFBZnt/5rGnDywhhBBCpKkscU4zJiYGkyZNgoeHB4KDgwEAbdq0wbVr1xAeHo4nT55g0KBBGDRoEBo0aIBjx44hNDQU3t7eyJ07N/JK+pxIhSdPmGlx8CB7U06cCFSrlrLH0mhYBvrwYdLLgwcsuQb0JdhKvfces6gWLmSptmRN6aVHUFRHreYk7cBA4MQJ9kw8fZr9SMPD2XtUiLSkK50vVYpBRXukVrO3aMmS7Nt7+DBQoQLL7WvXTu/VCSEsERUVhYMHDyrePjAwEO7u7jZckRBCCCHsTZYIirq4uKBXr16Ii4vD0KFDcfv2bZQqVQrLli1D8eLF8dtvv2HgwIHw8vLC+PHjAcCiRutCGHP3LtCkCXDmDODpCUydCpQvr/z+Wi2wZQvwxx8MfD55wgnLpowaBcyfz+dTonZt9he9f59Df7p0Ub6+zC49g6I6KhVQpQoQEMDA9S+/MPB97x5L69VZJt9fpDdb9BPVapkJ/fIlLzEx+uvoaF47OQGVK1t3P6xenZmi48YB164B9euzTcWnn9pvwFeIrCw8PNxs2bu7uztUsoMLIYQQIpFMHRR98uQJcuTIAQCoU6cOHBwcMGXKFBQvXhxz585F0aJFAQAff/wx7ty5g2nTpuHTTz9Fzpw503PZIpO4do1DPq5dA3Lm5PCPV285RZ4/B77+mhmmialUgJcXL97e+tuenuwPevMmB4x8/bWy/laOjkDr1sDixRy41LmzBAV0YmJ4nZ5BUR21mkO6cubk5PoZMxgY/fHHjDEFXGR+iTNFUyM2lgH+XbsApYObvb35eRocDBQpkrrn18mXjyeQZs4E/voL+Owz4MgRfhZKMpkQ9sXDw8OCXqBCCCGEEJRpg6JhYWF4++23cfz4cVSqVAlqtRpBQUGYPHky7t69i4IFCwIAEhISoFarkS1bNhQsWBBeXl7pvHKRGZw5wwzRu3dZyj5jhmUl7SdPMqv0/n0Gw+rXZyDA25sH68ayA/PmZZDsxAkOEPn8c2UBzuBglmeHhQEhIVJGqpMRMkUTU6mAjh2BHDn4nlq5ku0TVq4EcuVK79WJzOzFC+DiRd5OTVA0PJwnbS5dSv5vDg4M8Osuzs68fvaMJ4l+/ZWXMmU4kCwggJ+rqcmWdnUFxozhYy5YwKFzZ8+y/7M1M2KFEEIIIYQQGU+mDIqeOnUKderUwaBBgxAQEACAzdhVKhWqVKmCuLg4OL5KoVO/Opq6cOECihcvjvj4eDg6Okp5jUixlSuBnj2ZZVi0KDB9urKAlUYDHDoErF/PoCrArMB27QBfX2XPnTcv8P77LIPfvp2ZVZUqmb9ftmwc7rN9O9cvQVHSaHh965btn8fBQfn2TZty2M3EicCOHXx/vP8+33d16kimr7C+M2dY6u7jw8+llEhI4JC5K1fYu7hNG2Zr6oKgxoKbCQnA1as8aXPxInDhAi8Ap8yXLMlAbblyQI0alu1LAPeXtm2B4sW5T50+DZQtywz6hQvta6iUEEIIIYQQQrlMFxQ9e/YsatSogaFDh2LSpEkAgPv37yM8PBylS5eGk5MTnBLVmt66dQuLFi3C8uXLERoaCjc3t/RausgEFi5kiTPAPpDjx7O03ZSXL4GdO9krUjcFWa0G/P2Bxo0tH3xUsiQP6M+dY8aTkqAoALz1lmXPkxV8+CFw4AAnVpcty/9Ta9Jo2OZgzx72OGzUCKhZU1lm6jvvALNmMSP48mVmuK1ZA5QoAfTuzd6IGSXDVdg/rZbXqRnEFhrKgKiTEyfBZ8+u7H5qNd/XJUoAERHAqVMMit67B0RGMlgaFsZt8+dnC5D69S0PjlaqBPzwA/DttzxBtWkTP0N37wZeFZcIkaU4OwPffae/Ld4Ui1mzYuDi4iKvjxBCCGGnMlVQNCIiAgMGDICLi8vrgGjbtm1x/fp1nDx5EnXr1kXr1q0xcOBAAMDJkycxePBg/Pvvv9i7dy/KlSuXnssXdm7OHGDQIN5u25bBUVNlnc+esRR0yxaWhgIs5Xz7bU6nT00nBz8/BkUNlaga8/QpryUrSq9PHwZHVq4EJk1i0NuSNgimaLXsZ/jnn/z64EFePDyY7dmoEVCxoun3UNmyDOL88w/w22/si3j5MjB0qD7Qni2bddYrsjbd4Lbo6JTdX6tliw6AAX2lAVFD6wgM5EWj4QC6O3d4QunCBeC//4CvvgJWreLQuDp1LAuO5s7N+1+7xrL6y5eBoCDup6ntpSqEvXFyAvr3T+9VZGTx6N07Hh4eqThbJIQQQoh0lanmFjs4OKBnz57w8fFBmzZt0LRpU8TGxmL06NEICQmBn58fVq9ejVWrVgEA/P39MXLkSOzevRv+/v7pu3hh16ZP1wdEO3bkQYSpYNbNmwy4rVzJgGiOHOyRN3gw0KBB6gKigD5w988/yu/z+DGvJWNUT6Vi0LFqVf4/jR2b8qDQm37+mZloAPvPBgUxgBkZCfz+O98LH37IoS83bpheY6lS7B/766+8n6srs9tq1WKQSIjUSm1QVJcl6ujIoKg1ODiwZUjlykDLlhyUVL8+s1lv3gS+/BLo0QPYu5cl+JYoWhSYO5cZorducc0nT1pn3UIIIYQQQoiMIVMFRd3c3NC2bVtMnToVp06dwvPnz7F48WK0a9cOgYGBmDt3LpycnLBz587X92nSpMnrKfRCpMSXXwIjRvB2587s62iqp+O5c0CvXiz9zJGDvSAHDGB2qLXKr/Lm5XV4ODNSlZBMUcPc3ICNG/m6XLvGcnddKXFK7dzJCfIAA6LvvMNg+GefMbstIICBnfBwlsR368b3zK+/AnFxptfaqhWzlnPmZB/Id95hubEQqaELir58aXmA8c0sUVtNdndx4YmAwYOBevX4efrvv+wT2rMnh8hZsu/mzs19qUQJfj4GBTGbW4isQqPhSYW9e/U9tkViauzfr5bXRwghhLBjmSooCgCurq4IDg7GvHnzMG7cOOTOnRsAoNFokDNnTvj7++PWrVtIsPSoTog3aLUcGjJuHL/u0YPBK1MB0dBQBr5iYpjN2aMHS6BTMz3ZEFdX/TAUpdmiT57wWjJFk8ufn4FRR0dg3z5g9eqUP9bRo8wsBtg/NHHWnEoFFC7MwObQoQyYlyrF71++zN5ugwezZNiUkiVZml+oEMuKa9YEdu1K+ZqF0AVFtVp+flni0CG+fx0dOQjJ1lxcOCxu8GCWzzs58YTGuHHst3vwoPLgaPbswDffABUqMIu7QQN9ywshMruXL3mCoV493hZvckXz5m7y+gghhBB2LNMFRQFmjDZq1AgNGzaEw6tmYrrrhw8fwt/f//XUeSFSQqsFhg8Hpkzh1337Ah99ZPo+W7ey/FqjYeZRly7sH2krlpbQS6aoaTVrAgsW8PbSpfrp15a4eJF9CrVaBlkaNjS+raMjA+YffMAAabNmDO6cO8eM5BMnTD9X3rwMovr7A1FRQPPmwLJllq9ZCIBZyLoTPpaU0Gu1wPLlvF29uu2yRA1xdQXq1mVwtFYt7lOXL3Mf/Oor7hdKeHryREa1agx8BAfrW18IIYQQQggh7JfdRgYTEhKgeaNWJXH2p7OzMxwd9XOkoqOjMWbMGOzfvx/9dOPBhUgBrZbZnjNn8utPPwXatze9/dKlnGis1bI0+oMPbD/J1deX10qGLcXH64c9SaaocT17Au3a8f9xzx7L7nv7NoMz8fHsV/juu6azihNzd2dApk8fBjtfvmSgdM0a06XMnp4s92/YkMH47t2BCRNSX/4vsh61Wn8Sx5Kg6OHDPDGTVlmihri5sdfo4ME8uaFSsedunz7sc6qEqysweTIzT+Pi+DmgC/YKIYQQQggh7JNdBkXPnz+Pzp07o0mTJujbty+2b98OAFCr1ckCpQCwadMm9OjRA8uWLcP27dtRSkbIihRKSOCB9Lx5PLAeMgR47z3j28fHM8No5Up+XacOB4KkRaKyJZmiuixRBwd92b0wrEMHXh85ovw+jx8zs/jlSwar27e3bCK2Ts6cDGz6+zOwuXgxs48jIozfx9kZGD1an8k8cSLbPMTGWv78ImuzdNhS4l6i1arZNjNeCXd3oFEjoGtXwNubA5R692YWv5ITBU5O3N+aNuXvgq5d+btACCGEEEIIYZ/sLih66dIl1KxZExqNBlWrVsWhQ4cwYcIEDB48GADL5GPfONoPCAhA2bJlsW/fPgQEBKTHskUmoNGwB+iiRQyIDh/OAKcx0dHsObpzJ7dv0YKlnEqzA1PLkmFLun6iuXOnTcDWnjVuzIDmrVvM/jQnKgoYORK4c4eDtT78kD0PU8rJiT1HW7Tg/9XBgwzsmMoIVqn43h0yhPdZvpwlwA8fpnwdIutJPGxJiaNH2TLC0ZEZmhlFwYLcZ0qUYHDz2285MM/UyQUdBwdg2DBmigLAwIG8r2RfCyGEEEIIYX/sKvyh1WqxYsUKNGnSBGvXrsXUqVMREhKC1q1bY+/evejVqxcAls4DwNatW3Hv3j0ULlwYo0aNQokSJdJz+cKOaTTAJ58AP/3EoNLo0cwWMubOHU6UP3KEB9EffABUqZJmywXAcs/s2Xn7+nXT2+qCY9JP1Dxvb2b8Anw/mJvZtnUr+xiq1UCnTvrAUmqoVHw/9egBZMvG91ufPgzCnz9v/H4tW7KXoqsry4cLFZLeiEI5Ly9e37unbPvffuN1xYrpnyX6Jnd3oGNHZo6qVMDffzPQuWGD+SxqtRro1499oQEOcKpfP2V9hoUQQgghhBDpx66CoiqVCnfu3MG9REdkXl5eGDhwID766COEhYVh2rRpAIDt27ejf//+mDdvHhISEmSwkkixNwOiY8eaHpBz8iRLnK9dYyCga1dOA09rGo0+8ylXLtPb6g7mK1Wy7Zoyi1Gj+F7YvRv44QfT21asyKBLQoLy/oVK+fkx4618eX4dGgr078+M0H//NXyf6tWBuXPZ1zQqCmjbFpg1SzLdhHnNmvF63Tpl75fSpXl9/To/jzIalYoZrN26AT4+QEwMh6l16cIJ86ZOeKhU/Gz/7DNmfu/dy319zBjlA5yEEEIIIYQQ6ctuIoXaV0dglStXhkajwaVEtaJeXl7o3r07AgICsG3bNsTGxiI4OBjdu3dHjx49oFaroUqrmmWRqbwZEB0zhiXwxpw4wQE4MTEMWPXqBeTPn1arTer+ffY09fQE8uUzve2pU7yuVcv268oMGjbk8CwAWL8e+Pln49uWLcusMgD44w/g5k3rrsXNjYHN/v3Za1SlAsLCGJhfv95wYKdECbaBaNWKwa2hQ3n/+Hjrrk1kLkOG8P125QoD8Oa89x5bRjx5wpNFGVWBAkDfvsyk9vJiJuxXXzH7+upV0/dt3Zq/H2rU4P7z1VdAuXLAq1bnQtg1Jyf2RZ8+nbfFm+IweXKsvD5CCCGEHbOboKguqNm8eXNcunQJ06dPR8SrNDitVoscOXJg7NixOHToEHbt2gUAmDhxIooWLZpuaxb2zVBAtH5949ufPMk+oxoNg07durHUOr3o+l2WLm26T2hsrD5TtHZt268rs+jSBZgxg7d/+IG9Y41p2xaoV48ByA0blPUutJSPDyfaDxwIFC/OYOjChZy4ffdu8u0dHIBBgxgMUqm4batWwIsX1l+byBxy5eL7CWBfWnPZom5u7KELAPv3Z+ygu1oNVK4MfPopP+ednNj2ondvYNs20z9r3rzAlCnsLfrWW8CNG+z527Yt8N9/afYjCGF1zs7soTtsGG+LN8Vh0KA4eX2EEEIIO2Y3QVGdYsWKYf369Vi9ejVGjhyJhw8fvg6YOjk5oWLFishlrlZYCDMsDYiePs2DBo2GAan27TlcJD3pgqJlypje7uJFIC6O/USl7a5lhg7lBWCA9OBBw9upVHx/FCrEgOgvv9iunDh7dgaiWrTge/D0aaBzZ/Z3fDOwo1LxvTpxIkuAd+xgtrAEcoQxQ4awH+eVK8CBA+a3b9WKA9yePweOH7fduhISrBPQd3LiPvDZZ/w81GiAb74BJk8GIiON30+lAoKC+DujQwf+3ti4ka1TvvkmYweEhRBCCCGEyKrsLigKAPXq1cOGDRuwZMkS9O7dG+vWrcOFCxcwZ84c3L9/HwUKFEjvJQo7ZmlA9MwZ4PPPedBbrBgPiNM7IAokzRQ15fRpXteqxQN7YZmvv2bWaEICg4tnzhjezs0NmDSJQZd//2U/UlvRDWLq14+TtuPj2Td01CjDE+dr1eIE7hw52EqhenWW4AvxpjezRc0NGnN2ZlAeAEJCzA8xSonHj4ElSxh8/OEHBmufPk3dY3p4cBBTw4bcn/bsYTuUf/4xfT83N5bdL1rEMvroaP5+qFIFOHQodWsSIq1pNMCxY7xkxL7A6U+N//1PLa+PEEIIYcfsMigKAC1btsTBgwfx6NEjjBgxAi1btsTGjRuxfft25E+vJo7C7lkaED1/Xh8QLVrUsoBobCwDl7b4QzomBnjwgLeVBkWldD5l1Gpg8WIgOJj/p6NHc8iWIQULclAXABw+DJw7Z9u15cjBgG2jRlznkSNAp07AX38lzxotU4ZDZgoV4jT7mjWlL6IwTJctevWqsmzRpk3ZYzkqiu9Bazp/Hpg3T98i4t49vr/nzGHf3yNHUt6uQqUCAgPZCiVbNu4XffsyA9Rc64BixTjQbOhQtlE5fZqPtWBBytYiRHp4+RKoVo2Xly/TezUZkSvq1HGT10cIIYSwY3YbFAU4dGnr1q3Yu3cvNm3ahNDQUAQEBKT3soSdsjQgeuECezLGxQFFigAffKC80f7jx8wkWrKEZdcbNrAnqbV6Td65w+s8eYCcOY1vp9EAZ8/ytgRFU87JiUONatbk/+GIEQzOGFKrlr7P4ubNHIhlS2o119WnD+Dry8Dt5MnMan32LOm2efMC333H3oovX7L0ef58265P2J+cORkYBZRlizo6MrAIMIgaHZ36NcTHs93Dhg3Gt7l1i71+Z80CVq7kILyUPHeBAuwtWro0f9Z584Dx482X66vVPFmyfDlPTGi1HGg2dar5oKoQQgghhBDC9uw6KAoA3t7eKFy4MCpUqAAfH5/0Xo6wU5YGRC9dYs+5uDigcGHLAqL//suD6keP+HVMDLOdtmzhwfvixcDevcwiTemBs9LS+StXGCTIlg0oXz5lzyXI3Z0DWcqVY4n68OHGS3i7d2fgMT6ewdSYGNuvL3duoEcPoE4dZsDt28dA1cWLSbfz9GRLgGbNGAAaMIABMHOBL5G1DB7MEvNr15Rli9avz5NHsbHGe+8q9eQJsGwZcPSo8vtcu8b9c/p0YN06npiyhJsb++82bcrfESEhQM+e/Ow2J3t2tq74+GN+PXo0MHKkBEaFEEIIIYRIb3YfFBUitSwNiP7zDyd8x8WxHLpjR+VTR0+f5vOYcucOA1ZLljBIunkzg5eW0GWKmhuypCudDwriNHKROjlzAn/8wffFrVsMfBjKTHNwYBl97twMjm/ebD5AEhHBAGZqejI6OAB16/L9njs3g0sDB7KPaGKOjhwM9ckn/Prbb3lbAqNCx9JsUbWaJwMAto4wNbTIlIsXWZau+4xL6WPMm8fsfEsCkyoV++326MHWFOHhPGmwbp35x1Gp+PP37cuvp0/nbelDKIQQQgghRPqRoKjI0jQaoGtX5QHR//2PB8GxsSyp/PBDZQHR+Hj2Z9y0ybL1RUYyYLV6tfIgwLNn+iCqqUzR6GiWnwIs6RbWkS8fsGsXs28vXWLWpaGAUfbsLGFXqxmkMZc9t2MHgy/W6Mno58cgZ+HCDO5//jmzkxNTqdh/dMwYrnHZMu4rMkVb6CTOFv3xR/OBwcBAfibFx/Oz0NL30suX3AesZcsWYNUqy7NG/fw4dKlsWf7M33/PNhNKAqzt23N/U6k4FOrdd4Hnz1O2fiGEEEIIIUTqSFBUZFkaDcuHV63SZ+6ZCoj++Sez5+LiOIymUyfAxcX88zx6xKzP48dTt95s2cxvEx/PHntxcUCJEsZL4hMSgK++Aq5fZ3BOV9YprKNUKWDrVmZc7tvH4IchZcqwDQPA4TA3bhh/TH9/9gYtXtz0c9+6xQCqbvCMMc7ODOqXKsV9YeJEYO3a5IGdhg31gdGVK9kqwhYTxIX9yZEDmD2bt9esAVasML29SsX3u6MjhzT98otlmZLOzqZ7JKfEtWvMGt2/37Igrasr0K4dy+kB4NdfgYULlQVGW7QAxo3jz7N9O/DOO5ZXAwghhBBCCCFST4KiIktKSGCm3MqVDPaMHcuyYmN+/51BRK2WgcaPPlIWED19moNrwsNTt97atZmRZc4ff7CfqLMzg1zGSuJ//JF9AJ2ceFDu55e69YnkatfWt0pYv55BE0NatgQaN+Z7a90648NbSpTgsBZfX+PPqdUy++3oUQ7y+vln4wOfAP7/t2/PycIA7/PNN8kDVfXr8/3k5MSfo00b6wzLEfbvk0/4ngH4fl+92vT2pUsD06bxc/fSJeDvv5U/l1rNnri28PffPHlh6sTEm3Tl9C1a8OsNG7gPKQmM1q3LNgA+PhzaV7kysHt3SlYuhBBCCCGESCkJioosJyGBAzJ0JfNjx5o+0N62jRPiAeDtt4H33mOmkymxsQxOWVoub4iHBzMEzTl9Wp+NOmmS8eDZX38xqwtgcFTJY4uU6dSJk6YBltfu3598G5WKZchFi7I82NLsucTu39cP8AIYdPrhBwZljU25V6s5VEmX8fbbbxwK82bPx6AgYMoUngz4/XcGgiIiUrZOkbkMHsxAJ8Cs+PXrTW9fpQo/dwEgNJRZo0qVL89+uLbw8CH7o27ZAkRFKb9flSpA8+a8/fPPyloJAMzS/v57Zoy/eAE0acJAqQxgEhmFkxMwfjwvSodJZi1xGDUqVl4fIYQQwo5JUFRkKQkJQJ8+wNKl+h6ipjJEN2/WZ0FVr84DX5XK9HM8eMDAwMmT1llznTrms1JjY9nHEgC6dOFaDdFq2RsSAEaMkLL5tDBiBAeqaLUMKp49m3wbV1d9JubNmynPGDt3zvD3L1xgae8vv/D9aUj16iyNd3QEjh3jAKY3A6lVq7JHqpsbsGcPgzhPn6ZsrSJzGTGC72GA77WdO01vX7cu0KoVb2/apDzArlab/sy2hpMneSIsLEx5gLJqVf2JhdWrGVxVIlcutiBo0oS/nz77jCftpEWFyAicnYEJE3hROlAya4nDoEFPMWxYJOLiIhEZafiilTMdQgghRIYlQVGRZWi1QP/+wOLFPLAeNcp0D9FffwXmzOHtGjV40GouIPrvv8CCBcYDT5bKlYtlleYcP87MPj8/lvYbc/kyy+tdXIAvvrDOGoVpKhWzv1q2ZKBjzBj2/XxT/vzsMwhwOvf585Y9j1Zr/j7nzvH9uXFj0oxSnVKl2GfX05O9Fvv1A/75J+k2lSoBs2Zxm4MHgQYNmGEnxNixDI4CfI+cOmV6+379gCJF+Nm1ebPyAGSZMkDevKlaqiJbtzKr3lhLizdVr85WGACDoitXKrufs7P+5IlazUzTFi2UP68QIv3kyZMHnp6eJi+1atWSwKgQQgiRQUlQVGQJWi2nxn//PYNUI0dygIwx69ezFyjAicmNGpkPiF68qO8haS0NGhjvC6oTG8sSVICZn6ZK+3X9+1q2ZFBLpA1HRw4xqlqVk6ZHjDA88TooiNmaALPnLAk2hocbDnQacuYM399btrBkPzE/P6BHD5YoP3rEEwmHDiXdpkwZ4NtvOaTrxAlm7pkb7CQyP5WKvZfbtePQonHjeBLGGBcXBlIdHFhCf/Cg8uexdbaozpUrrBYwloX9pho19L9bli7VtyoxR6Vif9+vvmLm+J9/AvXqpb4ftRCpkZDA9/65c7wtyN3dHYGBgQBUAMq+uhj/IzE0NBRRlvTkEEIIIUSakaCoyPS0WpYkLljAA88RIxjkNGbtWpZ/AkCtWgxMmguI/u9/HJJjTfnzcyiJOUePsv9dvnymfy6tFti7l7c7dLDKEoUFPDzYr7NoUQYQR482PKzok0+YjRkfz+C80jJaSzNLAZYJr1iRvH9i9uxA9+5ca3w8s1v/+CPpNsWLM5Pax4cHzLVrs/RfZG1qNbMk336bJwDGjDFdGl+kCHuSAux3/N9/yp6nZEl+5qWVX35hhvWbJxEMCQzUVyEsXmzZ74bq1fUnHP73Pz6WJT1XhbCm6Gj28S1fPu2H62m1WqPl6Ikv6UGlUiEkJATh4S8AnANwDuHhLxAREZHkEi5nNYQQQogMT4KiIlPTaoEhQ4B58xjYHDaMZfDGrFzJ6cEAe3nWr286IKrVAvv2MdhlbUqyU2Ni9NlVH39sOqv04kVOInd11Q8FEWnrrbfYa9Hbm0OQvvwy+VAlBwdm2OXKxTYMv/1mvqxYq1Weyfamu3eZ4fxmqa6rK/Dhh4C/Px9/2rTkfSILFmRgNG9eZtTVqiUBHAG4uzMLOV8+thSZONH08LDmzZn5qdWybYmSwKNKxUzKtHTmDE+YXbtmfttatfTZrN9/z6CqUqVL83eWry/3p6pVGSAVIqvQarUICgoyW5aeJ0+edFujSqWCh4fH6689PDwMXoQQQgiRsUlQVGRaWi2DoLNn8+vPP+eUbWPb/vQTyx0BHmybK89MSOAUbl32pTWVLs2AkzlHjzJ7o0AB0+0AAH3pfOvWDFqI9FGiBIOLzs4sS58zJ3nQM2dOTvtVqRiIOX7c9GOGhxsux1fqwQMO4HryJOn3HRw4DKdKFX799dfAjh1Jt/HzY8/UAgWYKVq3rgRGBd8XW7cyuH78ODB/vvFtVSp+PufNy8FdSk4EAMxkVvI5aU3Pn/Pk2Y4dQFyc6W3r1GEGNcCff9Mm5c+TPz9bXBQvzv2yVi2W1AuRFURFReGg0n4aAAIDA+Euf9gIIYQQIgUkKJrI1atX8fvvv6f3MoSVfP01h30AzBYNDja+7YYN+mnBDRvqD2SNiYwEVq0yH6xKqQYNzG9z7x6wfz9vm8sSvX5dH8yS0vn0V6MG8PPPDAZt2wYsWZI8CFShAgevAPy/u3jR+ONZIwj55AlPCrzZG1Sl4r7z9tv8evr05KX0uXPz5EPBgix/rl/fdC9JkTVUrqzvqblpEz8zjfH0ZH9RlYpZzyEh5h8/PbJFdY4eZWn8/fumt6tbl72CAZ482LpV+XPkzMn9KiCAJ7+aN7cssCpEZhAeHp6sLP3NS0hICFTmSmuEEEIIIQyQoOgrJ0+eRMmSJXE3ldNCYmJi8Pz58yQXkba0WpYljxrFr/v142AhY/bs0fcQbdCAPdxMuXUL+OEHBhptISiIfRpNef6cwYb4eB4w6/rXGXLvHjB8OPv6vfOO6eBwRpEV9qM2bfTZc2vWMDD/pnbtOM1aq+W/X75s+LGKF7fOmiIi2D7izSCrSsWAjC4w+vXX7P+YWM6c7IWYPz8zRhs3Tl32qki9jLAftWmjPzn144/sk2tM2bIciAcws/3YMfOPX7gwWzykhwcP+Lvj2DHjma0qFT+fa9Tg199+C2zerPw5PDzYuqJOHX7et2unfHiTEJmBsbL0xBcJiAohhBAipSQoCuDUqVMICgrC4MGD0aNHj2T/nmDByM2pU6ciW7Zsry8FChSw5lKFGVotBymNG8evu3XjQaQxR48CU6bwdrVqpgOiWi1w5Aiz6d7sv2gtRYuaz3x6+RJYvZprKFQImDTJeJbo48fA0KGcYl6uHLB9O+DkZP11W1tW2Y/69gVmzODt779PPn1bpWJAu25dtmv4+Wfgxo3kj5MnD9C5s/XWtWoVhzC9uZbmzZn9p9Vyv9m3L+k2OXPy5/Hx4eCn4GBmVYv0kVH2oyFD+DkFMIhoKtvxvfeY+Q6wPcmZM+Yfv2VLBlTTi7k2KioVe0TrAqNz5liW8enszCzaJk34OfDRR8wuF0IIIYQQQqROlg+KXrx4EbVr10a3bt0wc+ZMaDQarF27FjNnzsTs2bMRGxsLtVr5yzRq1Cg8e/bs9eXWrVs2XL1ILCGBWaG6IFP//gwUGUsgOHOGE8ATEhgwbNLE+LZaLfvcvTloxpqyZQPatuX0ZmM0GmYM3r/PANS0aSw7NSQiggHi27eZTfXHH7yPPchK+9HnnwO9evE9Nnly8ixNBwdO8A4K4nt17VoGud9UpAjwwQfWW9eWLQx6Js6AU6mAFi30w5cmTgQOHEh6v7x5WWLv5QUcPsyTErGx1luXUC4j7UdffMHPW4Bl5Nu3G9+2Wzfg3Xd5e9Mm4xnSOmo1M1Lz57fOWlNi/372CDZGFxitWZNfz51r2fAlBweeIGnVivtez54MrgohhBBCCCFSLssHRdetW4cXL16gdu3aePToERo3box58+bhhx9+wLfffotSpUrh4qtmfloFkx9cXFzg7e2d5CJsLz4e6NKF2XYqFbMjTWWIXr7MYJRGw9LjNm2MByO1Wg64OHHCNmvXad/e9AAkXWD22jXA0RGYOpUBKENiYhhIu3IFyJED2LWLk6DtRVbaj1QqDlSpX599A8eMSV527ujIoFLZsgwwrl5tOAOzVCl9MMka9u5lz9PEyfIqFTPzKlTge3L8eAY/EytSBPjqK8DFhScSunZN+hgibWSk/UilYtB/yBB+PWuW8cFBKhUwcCDbmWi1wLp1nGJviqMj+yVny2bddVti1y4gLMz4v6tU7Fmt6zE6f77hthnGqNXAoEH6vtCDBnFKvRC24uTEv6eGDrWPKpO0Jq+PEEIIYf+yfFB0/Pjx6NevH0aOHPl6euXq1atx7NgxHD58GEWKFEG7du0QHx8vPYsyqJgY4P33WfLr4MDgkam+mTdv8oA7Lo6DYdq3Nz2k6MAB0xlA1tCqFac1m7JvH0uadcGFkiUNbxcfz1LV06fZj27PHk48FxmXkxOzxkqW5CT5L77g+zoxFxeWrPv5cUL32rWGp1/7+7MVhLWEhbFsP/FzqdVA69bMsE5IYCD3zf6P5cszk9TBgWsdNEjZRHGRealUwMyZzOjXapnp/r//Gd5WrQZGjmQfZI2GJwLMtfz29AQ6drT+ui2xdStw4YLxf9f1GK1Vi18vWMCgr1IqFdC7t77FwMCBfG2EsAVnZ1bfzJjB2yIpeX2EEEII+5flg6IA8N1336FZs2bw8vLC9OnTUaRIEWTPnh2+vr6YOHEi7t69i6NHj6b3MoUBkZHMWtu8mYGlSZNMDx0KDweGDWNfTl9fHkCbOrt//DiDirZUpQqHJZly8qS+f+PgwUD16oa3S0hg6fLBg/wDfceO9BtCIiyTIwczgb28GFSZPj15EDF7dmYIOzuzLcKmTYYDjY0bM+BvLZcvJw/C6kqWS5fm+27UqOTZ1NWrs4UDwIy2yZOttyZhn1Qqvhc6d+b7ZupU4Nkzw9s6OjITuWJFvveWL+dwI1Py5En/wOj69czoN0alYu/o2rX59fffc/9SSqVii4E2bfh158787BBCCCGEEEJYJssFRW/evIlVq1Zh2rRpOJHoCP67777DzJkzUaRIEQD6UvnY2Fj4+PggT5486bJeYdyzZ0DTpizBdHXlwbWuX5shjx8zIHr/PgfBdOrE+xlz9qzpvnfWUKAAfwZTrl1j9hEAfPghg8CGaLUcYvLnnwxY/fqrPhtJ2IcSJfh/7eDAYPyKFcm3KViQAVO1msFTQyXIDg7Mnvbyst7arl9PHhh1cGCbipIlmc03YgRw6lTS+zVqpJ8oPm4c36Mia1Or+T4oUwZ49IhZVsayiF1d2YqhVClmT69cCTx5YvrxS5bkiYH0tHIl8N9/xv9dFxitU4dfL1pkWcanSsX9qlEjBpfbtmVfUyGsKSGBw/1u3JAWKIbI6yOEEELYvywVFD1z5gzq1auH+fPnY+nSpXjnnXewY8eO1/9ep04duL6KkulK5f/44w/4+voip71MqMkiHj5kv7kDB1giPmMGMy6NiYjgkIpbt9hz7uOPeT9jrlxhUNGWvL1Zuu/oaHybiAhmHWm1/Hl79DC+7fr1+sEdy5dzII6wP3XrMnMMAH76yXCmcqVKzMwE2NrhzdJ1gKXE7dtbd23XrycvpdcFYIsXZ+uGoUOTTwxv21Zf7tu/P9+rImtzdwfWrOHnX2io6UxHDw/g66+BQoWAFy8YcHzxwvTjv/MOULmydddsqR9/ZHWCKXXrMjgKcKL8ypXKH1+t5u+1mjXZa7h5c9M9TYWwVHQ0e0QXKcLbIil5fYQQQgj7l2WCotevX0eLFi3Qvn177Nq1C6dPn8ann36KQYMG4fGbU00AnDhxAsOGDcOiRYswd+5c5MiRIx1WLQy5e5fZNf/7H8uJZ89m/0JjoqMZQLp6lQfXH3/MgKQxN2+mTY+2Dz4wPjkeYCB0yxZmRxUtyoNfY8Ogbt3iATjA1+Ojj6y+XJGGPvmEg8AA9l08fz75Ng0b6oPkO3YA//yTfJv8+Y1nFqfUtWvsgZg4MKobclO0KAOjQ4Yw0zqxbt24Fq2WWdq//27ddQn74+/P9zfAoUM3bxrfNls29iP182Om6MqVQFSU8e1VKgYJXxV/pJtVq5IPTntT7dr6ti9Ll/KkllKOjszArliR7WQaNDD8WSCEEEIIIYRILksERePi4rBo0SJUq1YNY8eOhZeXF1xdXdG8eXPEGZhUcu3aNaxZswbbt2/Hvn37ULFixXRYtTDkxQuWm58/zxL4OXOYoWaMVsuy+rNn2Yfx44+BXLmMbx8ZCSxbZv11v6ldO/Y0NUY38f7KFf3wKGNN/J8/ByZMYJCqaVMO3hD27+uvGUSMi2NQ31CPwk6dgGbN+H7ZsMHwhO7KlU1nUafE1avJg5qOjgz0FynCwOjnnyctH1apgM8+Y2ZcfDwHNe3da911CfszeDBLwGNi+DlnrL8owM/8mTN5/eABA44vXxrfXpfFbOoz39YiIpjBb27IWK1aDGgCzBBfvFj5YDLdELYSJRgwbtwYuHMnVcsWQgghhBAiS8gSQVEnJyeULVsWxYsXh7u7++vvBwQEIDo6Gnfu3IFGo3n9/UKFCqFfv37Ys2cPKlWqlB5LFgZoNMyAPH2aQ2nmzDE/TGb1aiAkhBmWnTpxCIcpf/xhvfUaU78+p3absm+ffuL90KHGs50iI9nH8do1/mwLFzL4JOyfgwPLi6tWZeD7889Zvp6YSsWszOrVGWhctYpZw29q2hQoXNi66zt5MnmZvJMTh9zkz89y3i++4Hs08c80ZgwQGMhgb3CwlPtmdWo1MyMLFOB7d9Qo02Wovr5sl+LqyqqBVasYUDXGzY3vSVNZ+bZ29y5/b5kTFMQAMcB9/5tv+HtPCU9PnkjJn58nR959N+XrFUIIIYQQIqvI1EHRJ4mmMXz88ceYOnVqkn9PSEiAWq2GWq2Gg4MDAODYsWOIiYlB0aJFkTdv3jRdrzBt9GgOoXFy4hRrPz/T2x86pC8pDw42H0D955/kQR5ra9DA/PCjgwf1k+YHDDA+iCk6mq/JxYtsB7B7t/UDXyJ9eXoyUF+5MvD0KQOjt28n3cbREZg4kdvEx7Os2NA2HTsy8GRNGzcmH3rj5MRepl5eDM5MmZJ0AIWu3LdSJZY/N2jAjGiRdfn68n3u7c3hYRMn8r1sTOHCwHffMUPy9m2e/IqNNb59rlxA167WHTxmqb/+StpywpiaNZkhrlKxz+qXX5r+2RLLkYMBYx8fvo5CCCGEEEII0zJtUDQsLAw+Pj4ICwt7PUke0E+V12g0iI2NhaOjIzxfpZCMGDECTZo0QZSpRmUiXSxfzonbADMjy5Y1vf25cwy8ACwdNjdwIybG9KAPa2jcmJlAphw7pp8m/sknHFBjSGwsf77Tp9kndc8e031Vhf3KkYPvCX9/BiBHj2ZJbmIuLjxRULEiAy8rViQf8OLsDHz4ofmTCZb69dfk2WxeXuwxqlbz5MTSpcnXMnkyUKwYf6YmTYB796y7LmFfypQBdu7ke/nIEdMT6QG+d+bO5Xvp1i1g7VrTQcdcudjXNls2669diRcveMJLicqV2WJFreYJsjFjlA9xyZuXvysTZ8YqCcYKIYQQQgiRFWXKoOipU6dQp04dDBo0CAEBAa8nyQOcKq/VauHg4ABnZ2fEx8cjISEB48aNw/z587Fz5074+Pik4+rFmw4cYIAQYE9QXd81Y65eZUlxfDwPnJs1M/8cf/5pfppxajRvDtSoYXqbkyf1fRo7deLFkPh4ZlIdP84S0l27rN8zUmQsOXPyvZE/P4fRTJyYPBDp5sb+ueXKMWi+alXyLE5XV7agMNdGwhK3bxvuDZovn76Ed/VqBu4T8/Rk8MbPj+0fmjY13U9SZH41arD/plrNz7VFi0xvX7IkB8s5OQE3bgA//2w6AJgjB9C9u+l+zra0d6/y93jZsvwd4OjIz/qhQ9lGQ4kiRdhnWqd376TZ2kIIIYQQQgjKdEHRs2fPokaNGhg0aBBmzZoFALh//z7OnDmD+Ff1eLogqZOTE7Jly4YBAwbg66+/xr59+1CtWrV0W7tI7sYNoEULBgJr12YJpCm3bwPDhjEoVKAAy3hfdUYw+Rz/+5+VFmxAy5bsC2nK2bNsDQAwO1Q3VfxNGg3w1VfMOHJyArZvZ7mlyPx8ffkecXVlkGT+/OTbuLszMFq0KLNJV61KnlXq5saTC7lzW29tBw4YHgRVsaL+/fnVV8Dly0n/PWdOBkZz5ABOnQJatTI9OEdkfi1a6Nue/PwzB4iZUqYMe286OvI9uGaN6R6j3t7MGK1QwXprtsSqVWwboUTRokCXLsyePX+eg8oePlR238R9q9evB/r0kcCosJyjI9CvHy+Ojum9moxHXh8hhBDC/mWqoGhERAQGDBgAFxcXTJo0CQDQtm1bNG3aFJUqVULjxo0xd+7c19s/fPgQFy9exN69e3H06FFUkXS7DOX5cwYUnz3jVN2RI5lBZMyDB+y5+OQJM+E6djQ+sT3xc2zcaN11J9a6tfnS/UuXuAatlr1P+/c3PCwpIYGTl//+m398b97MoU0i6wgIYNAHADZt4nvgTV5eHLiSNy/w+DGzNN8MEnl4MNhirs+uJTZtSjpUSadBA6B4cQb0v/giefZqvnxcr4cHsH8/91tT/SRF5te1KzBtGm8vWKBvKWJM+fIMjOoyRleuNF1u7uQEtGkDNGxorRUr9/Ch4X3SmPz5md3q5cWf7dNPk/cMNket5jT7AQOUT7QXAmBAfv58Xlxc0ns1GY+8PkIIIYT9y1RBUQcHB/Ts2RM+Pj5o06YNmjZtitjYWIwePRohISHw8/PD6tWrsWrVKgBAsWLFMHXqVBw6dEimzGcwGg37H549y15wU6Yww82YZ8+YIRoezuyzjz4yvT3AbNI1a2xXNt+2LYfJmHLtGrN4tFoGjwYPNhwQ1WrZP2/nTh7g/vwzS/JF1tOmDbMuAWDePGaNvsnHRz+h+949vl/eDDR6eDBj1FoffRERwJYtyYMuajX3hZw5gfv3Wdb7ZolziRLsMerkxEBvnz4SvMnqhg9nZiTAoPmxY6a3r1CB+4Nu+NJPPyXPkk5MpQICA/l7Jq3duWN4nzTmrbcYGM2Zk/vzJ59YNpxM93tl4UJg0CDZt4QQQgghhNCxalB08uTJir5nK25ubmjbti2mTp2KU6dO4fnz51i8eDHatWuHwMBAzJ07F05OTti5c+fr+4wYMQIV0quOThg1ciRLw3UDWUyV+kZGcvjSv/8ym+bjj5MOmTAkIYEDYt4cRmMtnTubH3z0778cDpKQwIn0o0YZLvXXaoEffmDASaXi0CljA5hE1jByJN/nCQkMMt68mXyb/PmBOXP02XMbNyYvn3V0ZN9Pa2UcX76cvHcowOBsx45cy+nTDF69yd8fGDuWQdQff+RwGZF1qVTM/uzYkSfJxo1jVr0ppUox8JcrFwPwy5aZ7+FZogSz83Plst7albhxg/1TlZa0Z8/Osv+8edliol8/4MwZZfdt2JA9SQGeXBs6VAKjQhmtllU4Dx7Ie8YQeX2EEEII+2fVoOhGA3XIG8w1BLMyV1dXBAcHY968eRg3bhxyv4qmaTQa5MyZE/7+/rh16xYSpLlWhrV0KcvEAQY7S5c2vm1MDEtyL11ihtDHH/Pg0Zxdu4B//rHKcpPIlYslikWKmN7u+nX2louPB6pV489grPfp6tXAunW8/f33zIIVWZtKxXLYmjV5UmD0aMPBn5IlmWWnVgMXLvBEw5sHbioVg/Lvv2+dtR04wInzb/Lx4URtANi2je//N9WqxSFpAHujfvutddYk7JNazYzPhg0ZCBw5EvjvP9P3KVKEJwPy5GH7iKVLgUePTN/Hx4fZlyVKWG3pily6ZDi72hhPT33bi7g4ZoAq7YfdvLl+3/rmG56EkyCOMCcqipnKb72lvBduViKvjxBCCGH/rBIUXbx4MapWrYpLly6hWrVqry9lypRBucTd/tOIm5sbGjVqhIYNG8LhVaRJd/3w4UP4+/tDbao5pUg3Fy+ydBbgwZ+5DLalSzm13cmJ2ZlKhsfcugUcOZLqpSZTpAgHJJnLOLpyhYHO+Hjg7bc5SdxY79OtW/VDR779FujVy7prFvbLxYV9PAsWZLnwqFGGy4UDAoDx4xn8PHEC2LHDcDCkbFkGhsxlWSuxa5fhQFTJkkDjxrz944/c7k3BwVwHwCDOb7+lfj3Cfjk7M8u5cmXg6VNmOd6/b/o++fIxG7lAAfaNXrKEZeemuLoCH3zAkvq0dPo0sHu38u1dXXlirEQJZtCOHGk4U9yQli2BgQN5++uvmUkrhBBCCCFEVmaVyGD79u2xYcMGtGnTBhs2bHh9CQ0NxRrdVBArS0hIgEajSfY9HWdnZzgmGgUZHR2NMWPGYP/+/ejXr59N1iRSJyEB6N2bGTDVqjHIacqdOyw/BFhO7uen7HkuXkzdOg3x9wc6dTLfx/TyZZbMazTM8psyhQe5huzaBcyezdujRrEXnBCJvfUWsz+9vZkJOmKE4WFHtWvry2ePHTOcMQowmNSzJ7PsUsvYflajBhAUxNvTpyefSA+wz2NwMG+3aweEhqZ+PcJ+eXkBv//OQGB4ON/Ljx+bvk/u3MwYLV6cWaZLl5oPHqrVzEp97z3rrV2JgwcN9wY2xskJaN8eKFSIJ9cmTuTPqESbNuxPCrCq4epVy9crhBBCCCFEZmGVoGi2bNlQuHBhrFq1Cn5+foiPj0dkZCTu3buH8+fPW+Mpkjh//jw6d+6MJk2aoG/fvti+fTsAQK1WJwuUAsCmTZvQo0cPLFu2DNu3b0epUqWsviaRej/+yOnTrq4sCzSXzLtkCQOpRYsyA00pQ0GY1AgMBFq1Ml7+rnPpEodr6HqITphgPEN03z5m8mi1PHCdMsW6axaZR/nywN69DBydP8/AqKEyvubN+W8qFUtut2413M/Q25u9C821gDDHVHuK+vX1mW7jxjGbLzGViicBqldni4ymTZX3TxSZU548zKgsWJDZ/sOGJX/fvClHDmbYV6zIk20rVij7/K9QgScHcua0ztqV2L7dspYujo48GejhwYF9c+Yov++HH/I1iY5m1qnSgU8ic9FqtYiMjDR7EUIIIYTIzKxaQ7527Vr4+/sjICAAXbp0gb+/Pz7R1UFayaVLl1CzZk1oNBpUrVoVhw4dwoQJEzB48GAALJOPjY1Ncp+AgACULVsW+/btQ0BAgFXXI6xj504OjgCArl05TMKU8+eBv//m7UaNDE9sN+TpUzbEt5ZGjZhZZO75L1xgX9CEBKBOHQaCnJwMb3v4MIdLJSQwODVnjvKfT2RNAQEMjHp6AufOcXK3oVL6pk3Zf1SlYtuJLVsYmHyTiwsznytWTPmabt403mNNpWLGWo4cLGv+8svk63B05ImDcuX4szRpwl68IusqWJCB0Tx5GAg0dgIgMU9PnmCqXp3vsbVrlQXY/fxYuVC5snXWrsTatayAUMrLi4FRlYq/Q3fsUHY/BwdWH3h48PfNV1+lbL3Cfmm1WgQFBcHT09PkJU+et5LcRwghhBAis7FqUHTq1Kk4duwYihYtimPHjuHo0aMoUKCA1R5fq9VixYoVaNKkCdauXYupU6ciJCQErVu3xt69e9HrVcNF51fpd1u3bsW9e/dQuHBhjBo1CiXSeoqCUCQkBGjdmtkqderoh7EYo9VywjDAsnVzAdTErDlc6d13WQJvzrlzwIYNXHf9+pywnaizQxInTjBgGh/P/naLF5vPmBUCYPAmcWB0wADg7t3k2zVsyPeYSsV+hj/9xJMFb3Jw4H5Zq1bK12QqK8/NDejQgc9z/Ljh/oaurhy4VKQIf5bGjVk+LbKuEiUYGPX2ZouGMWOYTWyKqytPNDVowM/hjRsZQDR3P2dn9uHs0MF66zdn7VrD+6MxRYoAdevy9qxZysvh8+bVt2SZOJHBUZF1REVF4eDBgxbd58GDB2azSiVwKoQQQgh7Y9Vwi4uLC9zd3QEAcXFx8Pf3x7lz56z2+CqVCnfu3MG9RBMTvLy8MHDgQHz00UcICwvDtGnTAADbt29H//79MW/ePCQkJMhgpQzq+HFmr8XEMJNnzBjzZeghIcDZs9yuXj3Lnu/KlZSvNbEOHRiQNefMGeDXX3kg3qgRs/SM/Xxnz/Lnj4tjOf6KFeZfCyESq1KFLSj8/IB//2X29dmzyberW5ctGZydOc174UJmM79JpWIg/4MPUrYecych8uThyQWAw8dCQpJv4+XF3qN583L/bdYMePYsZesRmUP58sBffwHu7sx4Hj+en5umODry87dtW3599Cjf90rK6UuXBj7/PG2m00dEAGvWKO8RCvDERfHizISdMMFwX2FDGjbk/p2QwDJ6Q9nlIvMLDw9HRESEwcu1a/r0/KJFi5jNLK1Vq5YERoUQQghhV6waKcybNy+ePn2Kli1bolmzZujQoYPVMkV1f2RVrlwZGo0Gly5dev1vXl5e6N69OwICArBt2zbExsYiODgY3bt3R48ePaBWq6GS+uMM59w5Zu5ERQGVKjFbxVhJuc6dO8wcA9jL09tb+fPFxVmnn2iXLjxINufUKU4H12oZ+B0xwniQ859/OEX45UsGT9etM/9aCGFIQAADPgEBzDgbMgT488/k29WoASxfDpQpA8TGAuvXc5iNof6CpUpxarWvr2VruXLFcHl+YhUq8IQIwDJ6Q8NwfHyAGTNYbh8WxkCqJUEjkfm8/TZLxl1cgCNHGOQ3915Tq5lBPWMG38vPnjEA+euv5gOJnp5Ax47szWtrDx4oL4UH9O0ovL15kmPmTMOD1AwZPJgD265e5W2R9Xh4eBi9+Prmxltv/Q7gJwDmm8+GhoYiylxPi0zE0ZF/E3bpYrwCSAghhBAZm1WDotu2bUP27Nnx5Zdf4osvvsBHH32ELVu2WOWxdUHN5s2b49KlS5g+fToiXqU1aLVa5MiRA2PHjsWhQ4ewa9cuAMDEiRNRtGhRqzy/sK7r1xn8e/6cAcYpU3hwa8qLF+yD9vIlD2gDAy1/ztSoUoXDPQoXNr9tWBiweTMPTIODeT9jAdHr1/nvkZHM+Nm82fhEeiGUyJdP35YiLo49A5ctSx4oyZsXmDtXnwl67BgHnj16lPwxc+Tg1Oq331a+jthY4MYN89s1asRJ2nFxbC9hKECVPz97Q7q7cxBZx44yICarq1WLA8OcnPiemD7dfGAU4Hv4xx85wV2lYjb1vHk8kWUqmKhSAVWrAv37W36CwFKnTxvO8jbG3Z2tZ1QqttHYtk3Z/Tw9+XtVpeLwQkNtLETW5eqqwr17zRAR8T4iIh4bzSgNz6J9TVxc2ILmp5/M/w0rhBBCiIzJqkHRP//883Wg8vz589i2bRuuXbtmzadAsWLFsH79eqxevRojR47Ew4cPXwdMnZycULFiReTKlcuqzymsLziYPQKLFAGmTePAB1Pi4tgH8eZNZsN07Gh8crsxKc0S9fPjJOIWLXjgac7x4zxQB1gGP2SI8b6g//0HDB3K4HDVqsBvvyl7DiHM8fBgBtzw4fx6xQpmYr7ZR9HRkQNlpk3jQd29e8D33zMo8yZHR+67772nfB1K+vg6ODCg4+XFffzrrw0Hp0qU4AkUJyeePOjTR3lGnMicGjdmlrNaDezaxc/bRB12jHJzA/r2ZQl9sWLcLzZvBlatAp48MX1fHx+gR4/U9dtV4tdfLWsVUaAAXw8A+OEH5ffz92f5PAB88onygKrIGlQqlclsUt1FCCGEEMIeWTUoOnToUHh6euLw4cNYvXo1GjZsiB49eljzKQAA9erVw4YNG7BkyRL07t0b69atw4ULFzBnzhzcv3/fqsOdhG3cvMlsthkzgGzZTG+r1XKAxMmTDIZ8+CGDJ5bQalMWFG3ZkgeJfn7KnuPvv4Ht2/l1mzYcZGEsIHrvHvvUPX7MKd87d1rWDkAIc9RqBhiXLGHg8e+/WSL7+HHybatXZ0DI358ZmJs2cTp9bGzybStUYL/S3LnNr+Gff5QFLj09mbmnVjPLde1aw9v5+/MEiVrNbL9Ro8w/tsjcWrdmYNTNjcH8Tz5hz1ElSpXiSYCePfmeunYNWLAAOHTI9PvWwYH9OLt1YzDSVnQVB0pVr86WGAkJlj1P165Akya8X7t2hvv7iqxHq2XmfmSknIAyRF4fIYQQwv5ZHBQdPnw4Xppp5rZ582b06dMH7du3t1lvoZYtW+LgwYN49OgRRowYgZYtW2Ljxo3Yvn078ufPb5PnFKmTuFegjw/7nilJ6t2zB/jjD5b3tW/P4SyWioiwLOOmShVm2FWuzOc1R6tlUHP/fn798cfAp58av+/t2wyY3r/Pg/Jdu4CcOZWvTwhL9OjBid1eXhyoNHAg33tv0u2XXbvyvXvyJAOlhj7yc+dm8KliRdPP/fSp8gEu+fPrezYuWWJ8MFpQEDMCAQZ9N21S9vgi82rbloPt3nmHAYrJkxncVFJO7+jIk23Ll7O/dXw8P5M3bzZ//4IFGRjt0gWwRbeeGzeUT5QHuN+2agVkz67/npJgjVrNqoUaNXgipG1b8xmzIvOLiuIJK09P3rYGrVZrdop9pNJpYenMFq+PEEIIIdKWxUHR2bNn49mr6FLXrl2TBD39/Pzw8ccfY+3atWjRogViYmKgUXJEkkKVK1fG1q1bsXfvXmzatAmhoaEICAiw2fOJlDtzhkOVdL76iv0MzdFoeKAKALVrc8JuSnh4MNBprlfnW2/pS+Xd3JQ9tlbLATVHj/LrQYPYe9FYQPTff7lNeDh/nt27UxboFcISdeuytUPhwgzKf/YZW1i8ycGBAZ5vvmGLilu3WHpv6BjV2ZlZesaGz3h7s3+jJZWVVaoAZctyv1qwwHhAJziYbTQABnlfvFD+HCJzKlaMGY5jxvDrDRvYo1ZpsCJ/fr7vBw/m5/fp08xYfrPlxJtUKu5XH3/MExBFiqTqx0hGSUZ2Yq6urFTQ2blT2f0cHYHx49nf98ED3hbCmrRaLYKCgsxOsc8jfxQJIYQQIo1YHBT18/PDyZMnAQArV6583UMUAH755Re0adMGu3fvRo4cOfD48WPMnDnTaos1xNvbG4ULF0aFChXg4+Nj0+cSltNqWYJbo0bSAIzScsM9exiUcXHhY6SUWs1A5/Dh7J/YpAkHPCUOkpYpwwNaJaXyOlot+68dP86vhw3jZGxjrlxhMOrhQ6B8eR7AS2KzSCslSzKbuUQJtm8YONB4Wwl/f2D+fO57d+8aH8CkGz7zwQfMGm3QgP0Jhw5lcCk42HgLCWMaNeJ9wsJMB3Q6d+bJlf/+0wdIRdbm6Mgs0Z9/ZtD+0CFOnFfSZxTg+65VK/audXBgluZPP7HvsxL58zM4aur3gCX8/c23mDEk8UnHBQuSVmqY4uLCKgeA+7+h3sJCpFRUVBQOHjyoePvAwEC4S6N1IYQQQtiQxUHRzz//HC1btkStVxMGVq9ejaNHjyI6OhoeHh547733UKJECQCAr68vGuu6/ossZ98+lrm2bs0ss3LlLLu/RgOsXMnbgYHWmeypUvFg8Z13gA4d9EHS7t2B99+3bHhTQgIHKoWF8XFHjTKeMQcA588zSPTsGbPh9u5Vli0rhDUVKMB9s2xZBuf79+eAL0MZmcWLA4sWcdL2kyfA4sU8SWFIqVLMTgsKYsZeauZuZM8O1KnD2zNnMtPcEFdX9hd1c+P+JIROhw486ZQ3L3D9OocqWTLNvUYN4Lvv+B67d48nBZQO2FapGMz8/HOebEuNoKDU3R9gO4BJkwz3BzakShXufwkJDJBKr0RhC+Hh4Uan2esuISEhr4epCiGEEELYgsVB0U8//RTHjx9H06ZNodVqMX/+fNSsWRPe3t4oU6YMPvjgA0ybNg07duywxXqFHTh2jBNw69YFDh5koLFDB2beWEKXJermBlSrZpOlvg6SFiigrHeoTkIC+82dPMn7jRmjn/pryMmTzJyLiGCA96+/lPVTFcIWfH2BAweYPR0Xx0Fm06YZ7h1asCCDQ6VLs4z4p58Y4Le1WrX0A2OGDzee6VemDNtxJD6hYemQGZE5VavGtib+/uxtO2QI8Oefyu9fujSwdCn3gefPGRi9dk35/XXDw95/P2UnCcqVs87vCRcXZrx+/73y+/Tty/vt38+sWyGsTclEewmICiGEEMLWUjR9vmLFihgzZgyKFSuGw4cP48WLFzhw4AAGDRqEHDlyYMuWLWjfvr211yoyuHPngPfe44Hon3+y9PDdd4HVq4E+fSzL9EycJVqjhnWyRK1FowE2bmT2mkrFTLXE/VLfdOQIMGIEEB0NNGzIoVEpKYcUwppy5GBri2nTWDK8axcnyhsqs82Zk70Wa9ZkwHHDBvPTuVNLpWKWed68DNaOHm28N6S/P/9dZ9AgyW4TVKAATwC0bs0TAF99xSFeSgPnvr7AvHlsDREXx8FjrzoIKVa2LEv4W7VioNNcb2sda2SJAvzZAQ4kO3BA2X3y5AE6deJt3Qk9IYQQQgghMpsUBUV1Ll++DB8fH7i5uaF69ero3bs3Fi5ciEOHDuG50gZcwu5dvcoeahUq8KBLrWbW5IoVDE6kpNVrWmSJpoRGA/z6KwPAajVLEuvWNb79/v3AF1+wbLFlS/YfTU1ZsRDWpFYzYP/XXwyCXL/OExh//518Wzc3vt91AZZdu4AdO2yblenszF6lnp5c25QpxqeBV6+uv710KbNLJTAqAH7m/vorMHIkv169mu9lcwOUdLy9gRkzePJL1yd7717L3l+urkBAANCuHXtP9+jB3x3G+muXLGm99ipFi/KEBgB8+aXyNgAdOrDH9p077NMqhBBCCCFEZpOqoKgpUvKS+YWHs8SuVClmz2i1nBD/44/sr2nJwKLENBoGVAEeyGWULNH4eGbIXbjAYNLkyaYzef78E5g4kffr0IEH5UozhIRIS3XrsjdunTrMaJ40idlxcXFJt3Nw4HCmvn359bFjwPr1ybezpmzZuP+o1WzHsWSJsvvNnGl5yw6ReanVwNSpbP/g6Mi+up9/zrJ6JZydmY2sy57ct4/BUWNBenNryZ+f+1v37jwx0b49ULky3+/OzqZPtqVE/fpAvnw8QTd5srJ1OzszwxVgi41Ll6y7JpHxOTgwkN+uHW+LpOT1EUIIIeyfzYKiInO7epWZWd9/z4OrqlV5e+JEoHDh1D32X39xmrSbGx83I4iKAtas4UGh7uC6Rg3j22/bxm0SEoBu3ZiZ5OSUdusVwlK+vsDu3fpsuo0bgc8+S55VplIxgDNhAveFS5cYaLJleW3+/PoM1Z9/Nj2RHgB69eL12LHA3Lm2W5ewP1268ISVpycz/vv3Vz6ZXa0GPvmEvUlVKuDUKX62G+rFawlXV/bGbdmS+9zIkdwfrcnBAWjblr+Hzp7lPqtEjRocTBgfz7VJ9nXW4urKk8EbNshJXUPk9RFCCCHsnwRFhcUuXOAQlH//ZbBi9mxg+nRmjKZW4l6iGSVL9M4dTuC+fp0ZRtOnmy7pX7+e/Re1WmbZLFkiGQTCPjg6Mpi/dSuDRhcuMMB49GjybevU4b7v4sJ95McfOc3eVipU4OcOwFJmYxPpAaBNG6BrV97+7DNg2TLbrUvYn7p1meVctCjfu/37W9YntGVL7ieOjvy9sHSp8pJ0c1Qqy4b+WSJHDvb5Bljd8b//KbvfgAEMpv7xBz8bhBBCCCGEyCwkKCos8ugR+4XevQsUKQLMmQNUqmS9xz9wQJ8lmhF6iV69yoDKs2cMAC9aBFSpYnz7LVuAhQt5e8QIZqmpZS8TdqZlS+D0ab7Xnz9nOwxDA1oqVAAWL2arjKdPGRh98MB266pXTz+RfuJE09mpnTtz6jfA7L7du223LmF/SpcGDh9mJmREBHvQHj6s/P7Vq/OzPlcuvucXLwbOn7fdeq2lXDmW6QMM7Cpp/54vH1tYANyvDh603fqEEEIIIYRISxKuEYolJLD08L//GCD89ltOpbamv/7ideXK7GeWns6dY8l8fDzw9ts8AC5SxPj2Bw/qS3XHjeNUb2mtK+xVkSIMhH70Eff9L79k2e2bChQA5s8HSpRgGfHKlcCTJ7ZZk24ifa5cPEHz/femt+3blydxEhJYOnztmm3WJexT7tz8naObTD9uHHDokPL7Fy/O92C1aqxy2LABCA3N+CXmTZtyAOKjR8rbS3TqBJQtyyBqvXocsiYyv8hIffZyZGR6rybjkddHCCGEsH8SFBWKffMNsH07y+jGj+dACGuKiOABJcAMtPT0v/8Bv/zCYEq9esBXX7Gc2JiLFxk0SkjgVOEJE9JsqULYjKsrM6VbtOCAltGj2TbjTdmzs6S9UCHgxQsOSlOSgZYSzs5Aq1a8vX276RJglYrDdEqX5nrefZfrE0LHzY0tT9q10wdGdb+HlPDx4e8HXc/b3bv5vkxIsMlyrcLJietVqRgU3rfP/H1cXTlsqUYNfha8+y57ZwshhBBCCGHPJChqhDajp3qksUOHWA4OsL9Y8eLK73v1KrB8OQdS6GzdygOqnTt5ELlvH7MyExJ4kPnWW9ZdvyUOHAB++423W7YExowxPSTpzh0Gi16+BJo0YUapZIiKzMLREVi3jsNWXrzg54ChEvls2Rg00ZXSr1xpu8yZggX1Q9hmzQKio41v6+wMTJrErPazZxlQNbW9yHqcnPj7p317VgZMmGC4XYQxDg7AwIHsTQowUL9mDRATY5PlWkW+fEBQEG9PnQo8fmz+Pq6u3Jdq12YA+b33gE2bbLtOYX8iIyNNXoQQQgghMhIJiiai0Whe31ZJVOu1x4/ZT0yXNdmypbL7abXssdmrFyfdrlql/7eFC5l5+vXXwJQpPAhdu5b/Vr58+gQVtVpOJdaV8HfqBAwebHpI0rNnnBT85AkQEMDySZkyLzIbd3eexChZkgNlRo403M8zVy4GKXPn5tClVatSP5nbmAYNAG9v9jdeutT0trlzM5vP3R3Yu5fBnIwcsBJpz8mJJ+46dtQHRpVkUOqoVMw2/fJLnki4epXvy2fPbLbkVKtTB8iTh/vCrFnKyv4dHYGxY/m3QHw8+/b+8ovt1yrsR548eeDp6WnwkidPnvReXroxFyyOjIyUhAwhhBAiHUhQ9JWLFy+iV69e6NixI3r27Ilbt26l6I+TmJgYPH/+PMnFnmm1nOJ86xYzSz7/XFnAMjqawc7ZsxlMLVIE8PfX/3vp0pxWX7w4JwAXKsQ+pcWLs39nWktIYNBHN0Cib18OZzH1s8bEMIv01i1mrm3fDnh5pc16M7vMth9lBj4+nD6dNy97c44dyzLaN+XNywCLqytw7x4DTYa2Sy0XF/0Jml9+AU6cML19qVLs8+vqygx1XfArM5P9yDKOjmz90KkTe4ROmsT3liV/CgQFAd99x8zk+/eBJUtYTZAROTgAbdpwGODBg8CuXcru5+jI330NG/J16tAB+Pln265VZGzu7u4IDAxUvH1gYCDc3d1tuKKMx1SwWHepVauWBEaFEEKINCZBUQCXLl1CtWrV8PLlSzg5OSEsLAyVKlXCsmXL8MTCiSFTp05FtmzZXl8KFChgo1WnjW+/ZbBQ10fUw8P8ff79l0HFv/5iULFRI+Djj4FmzfTbtGkDfPABDz4//piB1x49+LWS57Cm+Hjg11+BsDCud9gwllGakpDAksNz57jeHTsAX9+0WW9WkNn2o8yicGG+193dgZMnmX1pqHdigQIMDDk7czDbzz/bJgBZvLj+ZMv48ea3r1ABmDyZn2ebNnFwXKICgUxH9iPLOTqy3UvXrnxvz5/PrFFDmdHGlCoFLFjAk4EREezLe/GirVacOnnyAHXr8vasWTzJp4SDAzPGmzbl69SpU9JqEJG1qFQqhISEICIiQtElJCQkS1RkWRosDg0NRVRUlA1XJIQQQog3ZfmgqFarxezZs9GkSROsXr0aK1aswPHjx9GhQwd88cUXWL16NV5YMJlj1KhRePbs2evLLaVHGBnQ4cPA8OG83b8/p0ubs3s3Myz//ZeDibp2BWrWzJg9NhMSgNOngR9+AM6fZ7bMhAlA8+bm77twIUsrnZzYf7RsWZsvN0vJTPtRZuPvzxMljo7cB+bPN5xJV6wYT6o4OgLXr7O1hC0CkMHBzDZXGnStUgWYOJFBnTVrgD59Mv608JSS/ShlHBxY+j5nDt+/+/fzfXLlivLHyJMHmDePlQ/x8ezLe/hwxnyvBQayUiMuju1url1Tdj8HB55EDA7m79POndkqR2RNKpUKHh4eii5ZISAKKA8Wh4eHp/dShRBCiCwrywdFVSoVIiMj4ebmBgCIi4sDACxcuBDt27fHhAkTcOjQIQDKhi+5uLjA29s7ycUePX7MTE6NhlkkumnPxsTGslR+yhQeABYpAvTuzbLyjEajYantd98xW+zhQ2a0TZ/OARLm/PKLvofa8uX6LBthPZllP8qs6tfnICUA2LjReOls2bKcSu/gAPzzD7B5s/Wncjs6snzXz0//PXPHlzVqAF98wRMhS5awd3BGDFalluxHKadScXjSgQP8PXb7NtCvH9ukKH2veHiwokDX5uGPP3jJaO81tZq/7/PkYQ/gfv2UZ7aq1cCQIfwbQasFunfnPiUyBwcHnihu3tx0f/WsSsnrozRYLIQQQoj0keWDogCQPXt2HD58GADg5OSEmFcTOGbPno169ephwIABiIuLyzJntrVaoFs3Znv6+QFDh5rO9Lx3jwePW7bw61q1gI8+YqZoRqLRAEePAnPnMtPtyRNOzO7Zk4GdKlXMP8b+/SyLBNifsGNH265ZiIzqgw84LA0AFi1isMcQf3+WrKvVnP7+22/WDwo5OydteTF6tPlp2nXrMssNYEbgF19Yd00ic6henSfRmjdnJuXMmfzsVzpAzNGRQffevfn1kSNs15LR+tl6eLCdRL587Jc9cCBw6pSy+6rVwKBBbIuj1fJ36sKFNl2uSCOurjwRsH07b4uk5PURQggh7J8ERcESQ41Gg46vIlwuLi6Ijo4GAEyaNAkvXrx4nS2aFWzcCGzdqqyP6IULDKBeusTBJx9+yCwydQZ7Z0VEMLNtxw7g+XNOye7XjxPvP/xQWR/TI0cY3NFq2TNV11pAiKxq8GAOXwOYaX3ggOHt3nkHGDeOJ1fCwjjQxdqB0VfJ/gA42GbAAPPlzk2bMpgDsD/qihXWXZPIHHLl4om0r77i77ZduxhEVzpATKXiSYQxY3j/c+d4gi2jcXNjj+/ChRkA/vxz7q9KqFTAp58C7drx6379+LeESHtarVbRpHMhhBBCCJEFg6JXrlzBt99+i+HDh2PHjh0IDw+Hr68vxo8fj7CwMPTo0QMAXpfTOzk5wd3dHa5Z5BTw8+c8cANYklqypPFtjxzhQdDLl5w43aePsr6jae2//5jJ9u+/DPQOHMhegu+/nzSQYsqWLcw+i4tjNszcuRmzT6oQaW36dPYSTEhgr84zZwxvV6eO/kTC4cPKgy0pkT07cPcuP5N27za97bvvMkMO4PZXr9puXcJ+qdXAqFF8P7m6Av/7HzNGLemT27AhHwPgPvCqKCVD0Z3cLF6cP9uwYcyUVUKlYjC0TRt+3amT8vsK69BqtQgKCjI75TxPnjzpvVQhhBBCiAwhSwVFz549i2rVqmHjxo3Yv38/2rRpg88++wx///03OnfujEGDBmHfvn1o2LAhLl68iHPnzmHlypXQaDTInz9/ei/f5hISGBy4dAnw8dFnfBhy/TozZTQaHjx17cpAREbzv/9x8u+LF+wLt2QJD9icnZXdX6PhsIzZs/WDJH7+mSWRQggGi378EWjbliXB06YBxobnNm0KvDrvhB07gEePbLOmbt046EmjYZ/jBQtMB68+/hioWBGIjmbrj4xW2iwyjnr1WEnh6Aj8/Td7U1uS9Vy/Pn8XxcUBx4/bbp2p4eTEk6IlSnC/GT6cv0uVUKk4mLFyZZ4wrVePbTNE2oiKisLBgwcVbx8YGAh3d3ej/x4ZyUoaDw/eFknJ6yOEEELYvywTFI2OjsaoUaPw0UcfYe/evTh8+DA2b96MJ0+eYMKECfjjjz/Qp08fLFq0CM+ePUNQUBBat26NVatWYePGjfBLPMUjk/rqKw5CcXICvvyS/TYNefGCAVHdQKUPPmB2SUby4AGwfj37FyYksM/pwoWWDX6KjGTWrK4E8KuvOFlXaUBViKzC0ZGB0YIFWbqu67tryIcfAgEB/PzYuNE2E+ldXfk8QUH8esMGZrw9fWp4ewcHZvB5eDCDb/Jk669JZB6NGgGrVjEAuHmzZW0X1Gp9L+rDhzNuAN7RkX16dYHRESOUB3EdHIBJk4DSpVl9Urs2T7aKtBUeHm526nlISIjZfvlRUcZPdAl5fYQQQgh7l2WCos7Ozrh9+zby5MkDh1cjIps2bYqJEyciW7Zs+OabbxAWFob69evj2LFj2LJlCzZu3IjQ0FBUrlw5nVdve9u3s+cfwD6BpUsb3k6jYcDgzh0GTdu1y1gTSR89YqBlwQL2OwWATz5hWa+JZIhk7t1ja4AjRxjw3bCBQRMpmRfCsGzZgOXLuY9s3w4Ya8OsVgMjR/Lkwp07wL59tlmPWg00aMA2GY6OLNfv0we4dcvw9nnzcoo2wJNCxgZHCQEwk3LuXN7+6SfLeoQ2aADkzs1e16dP22R5VqELjJYsqQ+MHj2q7L4eHmytUbw4hxo2aABcu2bb9YqklEw8zyoDRIUQQgghjMkSQdH4+HjExMTA19cXDx8+BABoXqUnvfPOOxg2bBj+++8/rF+//vV9AgMDUaFCBeTNmzdd1pyWLl/mAZ5Wy/56zZoZ33bpUh4UOTgwQ9SSQKMtPXnCvp/z5+t7Gtaqxey1Tp0sC2aeP8++aNevM1ASEmK6lYAQgurW5UkVAJgxA3j2zPB2b72l76144AD7/dpK2bKchp0zJxAezozR+/cNb1u/Pkv8ExL4WWhscJQQAId5DR3K27Nns4pCCScnBhsBIDSU77eMytGRJxZKleI6R41SHhj18uLnQKFCwO3b3L9u3rTteoUQQgghhLBEpg6KPnnyBADg6OgId3d3tGzZEgsWLMCuXbvg4OCAhFdHIrVq1cKAAQMwf/58PHjwID2XnOZevABat2apePny7AVmzN9/c0ARwPsojRefOgX8+qvyA0ZLPHvGqcDz5gEnTzKwW6MGBytNmgQULWrZ4+3Zw2nUT54A/v48+Kta1frrFiKzmjKFgcgnT4BvvjHeb7FuXaBJE/77pk3sP2grb70FdO/OKeK6wKixgO2QIUD16hyC07SpbQdCCfs3eTIrK548Md024k3BwYC3N/D4MXDxou3WZw2GAqNKe4xmz87Pgfz5efKjQQNmiAshhBBCCJERZNqgaFhYGHx8fBAWFvY6+NmnTx907twZ7dq1Q2hoKNRq/Y9fvHhxFC5c+HVpfVag1XJA0vnzHKw0cSIzWAy5epU9NQEGHcuXV/b4+/ez59rZsyxBt5bnz1miO3cup9tqtQxezp/PdZYoYdnjabUs/f3ySw7AaNWKGaIFClhvzUJkBa6u7Lfo4MD9/88/jW/76aeAnx8DlL//btt1eXhwoJK3N7PVRowwPBjDyQmYMIGDlyIjOSgmowetRPpxceEAP5UK2LlTed9NNzf9lPYDBywb1pQeHBwYGC1dmoHRkSOV9wnNmROYNYsnUq9cYWDUWLa2EEIIIYQQaSlTBkVPnTqFOnXqYNCgQQgICEgS/Jw2bRpatGiBxo0bY8WKFbhx4wY0Gg3++OMPqNXqJNtmdtOmsf+moyMDojlzGt7u+XNg7FgOhChaFGjY0Pxja7XArl3MLtUJD0/9mmNjgd27gTlzePCZkMChLXPnsn9Z2bIpe8zJk9kXDmA55MaNgKdn6tcrRFYUEMDPFID7prF938MDGD2aAaUzZ/StL2wlWzYGRl1cGND54gvu/29ydeXJlZIlGbBt2BC4ccO2axP2KzBQX2UxaxYQHa3sfm3a8Pfv3bts15LROTgAbdtywGJ8PPDZZ8rL4d96ixmjuXPzJEOjRsySFUIIIYQQIj1lugjg2bNnUaNGDQwaNAizZs0CANy/fx+nT5+GRqNBrly5sGbNGvTr1w+DBw9GnTp18M477+Cnn37CsmXLkD179vT9AdLIzp2crA7wwMZYMFGjYfbk3bssg2vblgNMTElIALZu5WRda7p4kZmguh5sFSoA337LA60KFVL2mMeOsd/gnj084Fu8mD3QslDCsBA2MWIE8M47zLb8+mvjfRPLlQM6d+btbduMT4i3Fh8fPp+TE1tuTJzIz7k36QbF6PohNmzIz0EhDPnqK6BgQQ7pW7pU2X2yZWPvWsB++tc6OrIHuZ8fW0wMGwYo7Trk68ugcc6cHDDVuLHxNhYiY1CrgTp1eMlCOQOKyesjhBBC2L9M9Ss8IiICAwYMgIuLCyZNmgQAaNu2LZo2bQp/f380bNgQ8+bNAwDMmDED27Ztw6xZszB48GAcP34cAQEB6bn8NJOQwInsWi3QogUvxvz5JzMyHR2VD1Y6cYLBBlMiIixaMo4cAdatY9ZqnjwM1M6Zw76fKbVuHTB8ODNdcufmtOlPPkn54wkh9BwdgZUrmXUZFsZ+i8ZKhD/+mCdm4uKAn39WnmmXUn5+wIcf8iD24EFg4ULD22XLxpMkvr5sIdK8ueWfXSJr8PICfviBt3/9VflJwfffZ6b09evArVu2W581ubhw/8mVi2XwkycrL/8vUICB0WzZ2JdUN3BNZExubsDevby4uaX3ajIeeX2EEEII+5epgqIODg7o2bMnfHx80KZNGzRt2hSxsbEYPXo0QkJCkC9fPqxcuRLLly8HANSsWRPt2rXDhx9+iMKFC6fv4tPQ6dPMfHJ1ZU8/U/76i9e1ajEYqfTxzYmPV/ZYAIOyO3fydps2LHMPCrJsonxiWi3w/fe8AEDv3sDly+xzJoSwnuLF2W8RYKBoyRLDwRMHB5ay58jBUvs1awyXtVtT4cJAu3b6te3ZY3i73LmBmTO5tpMnGQwylFkqRNOmQJ8+fI9PnqystDxPHgbbAbaGyei9RXU8PIBOnbjvnj7NoJBShQvrK1WWLweiomyxQiGEEEIIIczLVEFRNzc3tG3bFlOnTsWpU6fw/PlzLF68GO3atUNgYCDmzp0LZ2dn/Glq8kcWsGsXrwMCAGdn49s9e6afMKtksBLACbxKsl2U9usMC+NAJYAle59+ymBuSmk0LOVdt45fT5/O4Gi2bCl/TCGEcZ066adyr1kDrFhheDtfXwYfnZ2B//5jxqglJ09SokwZ9oMEgKlTjfcN9fNjkMvJiSX+w4bZdl3Cfs2Zw5OIkZEM/L14Yf4+Xbowa/nmTQ4ishc5cvBnBZgl+/Kl8vtWqcJ9PiqKPbyFEEIIIYRID5kqKAoArq6uCA4Oxrx58zBu3Djkzp0bAKDRaJAzZ074+/vj1q1bryfSZ0W6oGiVKqa3Cwlh1krevMaHML3p7Fll2zk6mt/m9Gn2JgXYy7R375RnhwI8YBs7lmXyajX7vklwQwjb69uXvX8BZnqvXWt4u6JF2SfY0ZHlxL/8YrwXqbXUr68fHDNunOGJ9ADL+3Wlvt9+a7zkXmRtzs583xYsyOD+pEnmM4tz52YZPcDqDHvJFgWAmjV5UjE8XH+yUQm1mpm1gPIerCLtRUby/Zk7t/HPxqxMXh8hhBDC/mW6oCjAjNFGjRqhYcOGcHg1MUd3/fDhQ/j7+2epKfOJRUUB+/fzdtWqprfdt4/X5copf3ylQVElj7N5M2+3asXJvqkJiL54wQDooUM8aN28GejWzRorFUIoMXgwMGUKby9apG/N8aayZZnBrVZzQvzvv9s2SKRW86SLlxez3KdPN/589eoBPXrw9oAB+rYeQiT21lvAli2sajh+XN+qxZSOHZmJHB5uvd+jacHJiZPkAfYQvn9f+X2bNOHv9b//tq8M2azm4UNehGHy+gghhBD2zW4jgwkJCdC8kX6ROPvT2dkZjonSEaOjozFmzBjs378f/fr1S7N1ZjQhIRxmkjs3Bx4Yk7h03thk+jeFh1t2QGTMhQssp9NqgeBg4LPPUhcQffCAj3H2LMv2//oLaNky9esUQlhm9Gh9dvasWcZbbQQEcCo8wM8hpUNrUsrDA2jfngHS/fuBDRuMb9upE4M5CQkMph4/btu1Cfvk7w+sWsXbv/wC7Nhhevts2YDOnXn777/tq29t2bLMjNVo9MOmlMiTR39y9qOPOM1eCCGEEEKItGSXQdHz58+jc+fOaNKkCfr27Yvtr5pOqtXqZIFSANi0aRN69OiBZcuWYfv27ShVqlRaLznD0LVTfftt04FGXem8r6/1S+dNuXSJB5BaLdC4MTBkCAMVKXXzJvuQXr/OvoAHD3JIkxAifXz1FVCnDifMT5xoPBASFATozl/t2sXPBlvKn5/BToCZfcYCsSoV8PnnDHpFRQF16wJHj9p2bcI+tW0LjB/P299+a/53ZNu27NP55ImygYUZhUqlL4Xfswc4c0b5fT/7jCcrjxzh73shhBBCCCHSkt0FRS9duoSaNWtCo9GgatWqOHToECZMmIDBgwcDYJl87BtjiwMCAlC2bFns27cPAQEB6bHsDEPXT/Ttt01vp5skqzRLVKtNfVD02jVg/XpmYNWvDwwfnvKAaEICgxoDBzKDtUQJIDQUqFAhdWsUQqSOoyMHLmXPDly9Csyfb3zbdu3YPgPgyZK7d227tqpVgUqV+Hk2Zow+W/5NTk5sBVChAvvI1a9v+2xWYZ/GjQPee48VGuPGAY8fG9/WzU3fW/ToUfvqLerrC1SuzNvz5inPdPXz00+iX7DA+CA2IYQQQgghbMGugqJarRYrVqxAkyZNsHbtWkydOhUhISFo3bo19u7di169egFg6TwAbN26Fffu3UPhwoUxatQolChRIj2Xn+7u3mUGh0plesjS06fAiRO8rTQo+t9/vF9q7N3LYGbt2iyzfdUG1iLPnjGw2rkzh6I8e8af9cABoHDh1K1PCGEdfn4cyqJScZq7sf6iKhUzvd9+m4OQ1q4Fnj+33bpUKrbWKFWKn0UjRxrP2HN3B77+GqhYkYHRBg144kWIxNRqYPly/i598gTYvdv09s2b83ffvXvG20tkVPXr84TB5cuW9dt95x2gSxfe7tkTOHnSJssTQgghhBAiGbsKiqpUKty5cwf37t17/T0vLy8MHDgQH330EcLCwjBt2jQAwPbt29G/f3/MmzcPCQkJWXawUmK6g7Hixdm/zJiUlM5bUi5niFbLjE4A6NrV8oDolSvAtGnsC7hwIXD7NvsEDhzI/mxvvZW69QkhrKtxY32GmKn+oo6OLEEuVIgD09auBd4oBrAqBwdmqBYvzkDs0KHA+fOGt3Vz4+dOQABL6Rs21A+yE0LH05PBPoBl4qZky8Z9A7C/tgweHhxGBgA//ghERCi/b+fOQPXq3Lffe48BZCGEEEIIIWzNbiKF2ld1ZJUrV4ZGo8GlRA3mvLy80L17dwQEBGDbtm2IjY1FcHAwunfvjh49ekCtVkOVmkk9mYBWC/z8M2+bK53XldgrzRIFWPqeGo8e8WDIycn0AKg3abXMDO3dG/jjDz6Gvz+nW9+7B8yZw6nSQoiMZ/x4fX/RkSM5FM0QT08GH11duV+vWWPboSyOjjzBUrgwy56HDDE+XdjNjX1Sq1QBXr5kpl9qPw9F5tOsGa9PnTLfH/e993h9/jwQFmbbdVlbtWpArlwMam7Zovx+ajUrRPLmZQ/wzp2ZrS3Sl1rNvxnffjt1/d0zK3l9hBBCCPtnN7/CdUHN5s2b49KlS5g+fToiXqUhaLVa5MiRA2PHjsWhQ4ew61VUb+LEiShatGi6rTkjmTcP+P13/tFWv77x7c6e5UWtZm89pXQTZFPqn394Xb48AxJKREVxUMvChTx4at0aOHSIpf89ezKQIoTIuBwdmflZpAhw5w4waJDxwGjevMA33/DEyb//AitXMghpK05OQMeOnJAdEwNMnmy8T6KrK3uMlivHUvoOHWSStkiqZEng3Xf5Hho3znS7meLF2UtXqwW2btVXb9gDBwegRg3ePnTIsvt6ewOTJnHf++03YOZM669PWMbNDTh2jBc3t/ReTcYjr48QQghh/+wmKKpTrFgxrF+/HqtXr8bIkSPx8OHD1wFTJycnVKxYEbly5UrnVWYs+/YBr+ZQoW9fHnAZs3YtrytVsizDsnp1YMQITm/Ont3yNeoyZ5ROhr9xA+jThz+boyPw3XfAxo3sTZbFk4KFsCu+vuwnrCQwWqYMT/C4uLBFxvLlPDliK87OHHzj6MgMv5UrjW/r4gKMHcvPzePHmfkqhI5KxfdryZLA/fs8oWdqGNGgQQzKA5zo/scf9hMY1bVvP3eOfb0tve+nn/L2qFEMCAshhBBCCGErdhcUBYB69ephw4YNWLJkCXr37o1169bhwoULmDNnDu7fv48CltRfZ3L//Qe0acNMygYNgLZtjW97/Tpw8CBvBwZa/lyurgxKfvopM6XeHGxkbNBRZKS+n6CS5z18mMHdW7eA/Pl50NS/vwRDhbBXBQsqD4yWKsWJ9bpS+p9+sqx3oaVy5eLwJYBBLd0QOkPy5NEHQ2fPtqx8WGR+2bIBmzYxo+zkSeD7741vq1IBvXoB/frx6yNHeF+lU93Tk7c39wXAsoFLOi1asD9vQgLwwQcMIgshhBBCCGELdhkUBYCWLVvi4MGDePToEUaMGIGWLVti48aN2L59O/Lnz5/ey8sQXr5kEPTJE6BYMQ4MMRU4XLeO12XKMBCQUmo1ULo0p8n26cMhJIUKsdeeIf/8wwyYEiX0B1LGREVx4vPLlwzynjjBQKwQwr5ZEhgtVgz44QfAx4fb/PST8Z6f1lCxInsVAyyTNzUEpmZNZpcCwEcfsdRfCJ2yZYFVq3j7l1+AP/80vf3777PXpkrFgYa2HjRmLdWr8/rHHy3PFlWp2Me3UCF+FnTqZB/B4MwoKoontAsXtm1Wvr2S10cIIYSwf3YbFAU4dGnr1q3Yu3cvNm3ahNDQUAQEBKT3sjIErRYYMIDTa729gS+/ZGaVMffv6wcspSRL1Jg8edgbrWtX4xPvL15U/rzr17MXW4kSwI4dQO7c1lqpECK9GQqM3r5tfNvZs/kZ8+gRgy+21KwZP28eP+ZgJVNDYHr25ImhiAhmusXF2XZtwr689x4wZgxvz5oFXL5sevtGjThozNERuHqVGcuRkbZfZ2pUqsQ+wHFxXK+l3NyACRP4d8vu3ezpK9KeVssTO//+az/tG9KSvD5CCCGE/bProCgAeHt7o3DhwqhQoQJ8fHzSezkZxqJFDBKo1cAXX7BvnykbNvAPusKFgXz50mSJAJjxcvUqb5vrJ/r4MYOiAIMSTk62XZsQIu29GRjt2xf43/8Mb5svH0vpq1dPGqQ0NcQmpZydgXbtOEjm+HHg55+Nb+vkxGE6Hh5s9/HFF9Zfj7BvEycy0B4Tw1605rIpq1UD5sxh79o7d4Bly2zzPrcWtRpo3Ji3N29OWcZ04cL6fugTJ5rPqhVCCCGEEMJSdh8UFckdOsQsUQD45BPzk+GfPeNBC2DdLFElrl5lWZyvL1C0qOltV60CoqP585jqjSqEsG8FCwIHDjDY+eIFMHw4S40NZeLkygVMnQp89pn+e4sXM3Bp7cydt94CgoN5e8kSljMb4+vLdQPA9Ommg6gi63FwAFavZiuI8HBOXTdXIl62LE946rKjly4Fbt5Mm/WmRJEi7AGs1Zrun2pK48bc57RaoH179j4XQgghhBDCWiQomsncvcuAYXw8UKcOSzfN2byZ2+fNywO0tKSbOh8YaLrf6e3bwNatvP311zJUSYjMzs+PGaNdujALdP587vuG+imqVEDTpvqv4+OB7dsZdHr+3Lrr8vcHKlRgkGbyZNPZerVrM7sUYH9R3WeYEACQIwd//7q6sj/24sXm71OwIDBvHrMoX7xgP92//864PTcbNeL+efgwT1SkxKefAsWLc1+rUwe4csWqSxRCCCGEEFmYBEUzkdhYDmW4e5cDCoYPNx88jI4GNm7kbXOBSWtLSOCQJd1zm7J0KQ/6mjYF6tWz/dqEEOnP1ZVlwt9+y3LcP/5gRqi5oUq9ejET7+pV4LvvgNOnrbcmlYqZazlzshfz8OHsHWpM374MDGk0DJBKCbBIrHx5YMUK3l63Dtizx/x9cufm+7pxYwbn9+/nfvL4sW3XmhK5crH0HwAWLEhZ8NbFhdngBQsCt27xZIOuF7kQQgghhBCpIUHRTGT1aiA0lH3svvwScHc3f5+jR5lJlT07S/PS0qFDDMp6ezPzypiQEB4oqlQcNiGEyDpUKg5c+uMPwMuLwZBPP2VfRWPatOGJlNKlOehl0yYOkrNWOb2LC9CxI4O2ly/rex0bolYDI0YAtWpxLW3asFxaCJ333+d7BODvuCNHzN/HwwMYNYr9SJ2cWE3xww8Zs5y+Th2epLh+3Xh/YHN8fHhypEgRnvjt1Mm6axRCCCGEEFmTBEUzkXPneN2sGVCggLL7uLjw2tmZB+9p5fRpTpQFgI8/5gGTIZcvc6gSAAwcyIm2Qoisp2FDICyMZbT37jFj1FQAqGBBZtN16cKvDx1iqbKh8vuU8PHRD6XLnt30tg4ODF6VLMmp4brJ40LoTJkCtG7NwPnYscDOncruV78+sHIlUKYM39vLlwPnz9t0qRZ7/JgZoioVy/5TKmdOYOZM7k8nTvDvA2FbKhVPmJctK22LDJHXRwghhLB/EhTNRG7d4vVbbym/T6FCvH70KOn0Zlv7/Xdet29vfGjS48cMHrx8yfLTmTPTbn1CiIynWDGWCpctyxL6QYOAa9eMb+/gAHTtyiw8lYonY777Djh1KvVZowkJ+qBsxYrmt3dy4okdgFmsKc2YE5mTgwPL599/n4HRr78G5s5lf1xz8uQBvvkGqFmT78sNG4Bjx2y/ZqUOHuR1o0aW/X1iSM6cQEAAb//6a+oeS5jn7s4T7ufOKas+ymrk9RFCCCHsnwRFM5GUBEXz5GG2qEYDPHlim3UZotUCTZoAvXsbPrseGwt88QXw4AGn165bBzg6pt36hBAZk68vBzD5+/Mza/BgfW9iY5o25QT4vHk5nGbzZk6PT02p8d27DF55eQFFiyq7T7lyDAxptQyQWqucX2QOzs7Azz8D48fz602bgM8/V9Yr1NWVE+zffZdf6yox0tvjx8CFC7zdoYN1HrNWLV5LUFQIIYQQQqSWBEUzEV1QNHdu5fdRq1lmCjAAaUv37+tvV6sGDB1quGRfq2UA48IFBhy2beOUXiGEAPgZt2cPP0eePweGDOG0eVPefpulxT17Mmvzzh0Op/nlF9MT5I25cYPXFSpY1nqkZ08GsA4eBNassfx5ReamVgMTJgBbtjDz7PRpnjzUBRZNcXBgW4levZJ+X0m2qa0cOsTf6dWrKz95YE5QEE+mHj+eMXuoCiGEEEII+yFB0UwiPl4/eMTS8jRdjy9bBkWfPGEGjM6oUcYzP1evBv76iwd4mzcDJUrYbl1CCPuUIwcnudeuzT6d332n/zdjGZjOzsCHH/KzKDiY3zt3Dpg3j585MTHGny8ykr0af/8dWLhQn4lnaZ/j3Ln1Q2LMTa4XWVerVmyxULo0W0V89pm+7YwpKhWHgA0bpv/emjXAmTPMkk5LkZHsAwwAH3xgvcfNmVM/nHHjRus9rkguKooZ7uXK8bZISl4fIYQQwv5JUDSTuHuXvcQcHCzPqtRlij58aP11AczkWrWKB0g6rq6Gt92/H/jxR96eP59DJIQQwhBvbwYn581jVrnOmDHAlSvG75czJzPVFy9mf8KEBODAAQZWw8L49YsXDCT99hs/i2bO1Pdq1GW9Fy8O1Ktn+brbtwf8/Hgia+pUy+8vsobSpTmJXjeAacYMTmCPizN/38S/O2/fZvDwm2/4Hv/tN54MSPw72RaOHGFrntKlrT8ksXZtXksJvW1ptTwZdP68tPswRF4fIYQQwv5Jl8ZMQlc67+NjfJK7MbbIFI2MBC5e5B+K16/zj8UCBUzf5/JlfYDg009ZMiiEEKY4OQEDBjATbc8efi8sjCXETZoAPXrwc9GQ4sWBWbOA0FDg++8ZPNq6Fdi1iwPe3lS0KIM7lSoxUy1nzpSt2dkZ6NuXU8ZnzOAarVVaLDIXb28G/r76Chg3ju/Pa9eAiROVv//ee4+l5pcvc6jio0f6QV+5c/NvgCJFOHjRWsNiYmP1w546drT+ZO7atRngDQ0F7t1jv2AhhBBCCCEsJUHRRK5evYpLly6hefPm6b0Ui+n6aqVksqtuAv3DhwxepvTg5cUL9j27cAH499+kZ81LlWL2ljFxccDkyQxENG7MjBYhhFAqe3b97bZtWTK8cyeHMnXowIubW/L7qVTsUVi9OgfbLFnCzyGVikHTxEHQbNmst97AQKBKFQanPv+czy2EIWo1Bw8GBPB9fPYsTxpOnAiULWv+/j178iTBixfAqVPAyZM8cXDtGk+GPnigD2B6e3MAY+JLrlzK+ubGxfHviAcPOPzs5Usgf36+160td26gTBn+vbFpE08yCCGEEEIIYSkJir5y8uRJVKlSBYsWLUrV48TExCAmUWO658+fp3ZpiqRkyJKOnx+zreLigGfPkgYXzImO5kHW+fP6NeiUKgXUqcOMjnz5GCQ1lo36668M7ObOzX5/Mmk+a0uv/UhkDsuXM9v888850Gj5cpYMd+8ONGtm+MSPkxPL2ps25UmdIkUAT0/brVGlYoZrjx7snbx7N9CwoXWfQ/ajzCU4mMHM1q35O/ezz4B+/fi1kpOZXl48ARAUxK+fPWOAVBck/fdftrt5/pxZpTqOjvzdnDhQqtWyH64uCHr/PnuHv1lC3KGD5dUrStWuzaDor79KUFQIIYQQQqSMhJ4AnDp1CkFBQRg8eDB69OiR7N8TEhKgVjheeOrUqZg4caK1l2iWLiCZkkxRBweWtl+7xgMjcz3ytFoeCF27xtK1xMMbypXjgUrt2srL2Q4dApYu5e3p02XSvEi//UhkHu+8wz6hv/4KjBjBz6sZM5iZOWIES9gN8fbWD3GxtcKFGdDauJGZ9NYOisp+lPmUKAEcPgx068b39ty5wI0bwMCBlgcfs2Xjics6dfh1RAT3k6tX9dfXrzPj8+5dXszx9ub7unBh9hJt0sTCH9ACtWoBP/wA/P03EB7OYK0Q9i5SQbNfd3d3qKzdk0IIIYTIorJ8UPTixYuoXbs2unXrhpkzZ0Kj0WD9+vW4ffs2HB0d0a9fPzgbO3o2YNSoURgyZMjrr58/f44C5pppWsHVq7z29U3Z/d97j4NE9u9npmhAQNJ/f/GCB0nXr/M6cSA0f34e2NeubXmm6p497JWm0XANnTunbP0ic0mv/UhkLioV0K4d0LIlg0ejRvEzJzwc+PLLjHEC5qOPmCl69Ciz80qUsN5jy36UOXl5cejXt99yYNjWrczS/OIL48F+JTw9gYoVedFJSGAw9MoV/u6/dInXHh4MqubPr+9JWqQI96m0itXky6cvoV+xAhg2LG2eN71otVpEmRlxriSgJjK2PAqi+4GBgQgJCZHAqBBCCGEFWT4ounbtWrx48QK1a9fGo0eP0L59e0RHR+PBgweIjY3FnDlzsGPHDpQuXRpardbsHyAuLi5wcXFJo9Xr6YKi+fKl7P7BwZyEvGYNsG0bD6wcHfWB0DfL3tVqBk6rVQNatTI+Td6U7ds55ESrBTp1ApYtU9a3TGR+6bUficzJxYUBkypVgHff5eTtfv14QqZIkfRdW44cXNexY8DatRymYy2yH2VeKhUwZAhQsCDw4YdASAjf45MnM2hqLWo1/67Il0+fUZqRBAczKLpkCQPEmTVGpNVqERQUhIMHD6bp86pU+r7zmfW1TQ1rvT7u7u4IDAxEaGioou1DQ0MRFRUFDw+PlD+pEEIIIQBk4aDoy5cv4erqiokTJ+LRo0cYOXIknJycUKJECSxZsgQ5cuRAdHQ0OnXqhHbt2uHkyZNwzKCNLjUaBi+BlAdFAeCTT1gWv2sX8Msvyf+9dGmgcmVeypdnoCGlNm7k5FgA6NMHmD9fAqJCCNuqX5/l88HBzHwbMAAYP54nd9JTgwYMiq5Zw4n0EnwQSrVrxwqN4GDg9GmW0U+fDvj4pPfK0kb9+vz74Z9/2C6jVq30XpFtREVFWRQQDQwMhLu7e6qf192d7RmEYdZ6fVQqFUJCQhRlAivJJBVCCCGEclkyDHX58mWMHj0aD16lP3733Xdo1qwZvLy8MH36dBQpUgTZs2eHr68vJk6ciLt37+Lo0aPpvGrj/vuPQ5J0wxBSSqVipsk77/Dr/PmZBTpxIrBlC7BwIafYVqmSuoAoACxezOthw4AFCyQgKoRIGyVLsidjnTpAVBRL6tN78ntQELPzL11ij2UhLFGnDgeK+fkxQNO/P4cmZQVubgyMAvq/KzK78PBwREREmLxIabX9UalU8PDwMHsRQgghhHVluVDU6dOnUaFCBcyePRuXE41X/e677zBz5kwUeVVLqX01QjU2NhY+Pj4Z+szslSu89vVN/ZRXR0dgyhT2uFu5Ehg8mL1Cvb1TvcxkU2m//BL4+mvJihJCpK1cuZgR37UreybOncuLRpM+6/Hw0Jcmd+nCqeBCWKJiRQZGS5dmu5uhQ9N7RWmneXNer1sHPH2arktJE0oCZxIQFUIIIYRQJksFRU+dOoV33nkHffv2Rbt27TBr1ixERkYiISEBAFCnTh24vmqOqfuD8o8//oCvry9y5syZbus2R9dP1M/POo+nVnOAgjVpNMC8efqvp0/nUAj5u10IkR6cnYGlS4Fp0/j1pk3A6NFAes0p6d+f07OvXAF69Eh+EkkIcwoVYgl5jRqcJJ9VlCnD3sCxsWxBIawnOhqoWpWX6Oj0Xk3GI6+PEEIIYf+yTFA0LCwMtWrVwpAhQ/Dtt9/i7bffxpEjR/DgwQOo1erXgVGdEydOYNiwYVi0aBHmzp2LHBlhTLER1g6KWlt8PDB1KrBjh/57/fql33qEEALgSZkRI4Bff2VLkKNH2Wf03r20X0u2bOxv6ujI9cyZk/ZrEPYvVy5g926gWTP997ZuZfZxZg20q1T6bNElS9J3LZlNQgJw/Dgvb/yZLCCvjxBCCJEZZImg6KNHj1ClShX07dsXkydPBgAMGTIELi4umDJlCgBAnaip5bVr17BmzRps374d+/btQ8WKFdNl3UpdusTr1AxZsoUnT1jO1qMH8NdfqS/tF0IIW3jvPSA0lC1IbtwAevdmOf3Ro8w+SytlyuhPGA0dKv1FRcq4uwNr1+q/XrgQaN2agcOuXYGRI4Fvv+U2e/YA588Djx/bd9C0cWPAyQkICwNOnEjv1QghhBBCCHuRMcepW1muXLlw+PBhVHs1Ylij0cDR0RFdu3bFpk2bcO3aNRQtWvT19gUKFEDfvn0xdOhQ5M2bN72WrciNG8D27bxdpky6LuW1//2Pg5kOHtT36HN3Z4DUzGBNIYRIF1WqMAjaqhUDK5s28eLqCrz9NkuSGzZk2b0ttW7NKeJ79wLt2zPAk5oBeiJrckz0150u2P/yJQcwGRvC5ObG3qSVKwMNGjDr1F54e3Py/J49zBZdsCC9VySEEEIIIexBps4UjYmJeX377bfffn3b4VXKYrt27XDp0iX8/vvvSe7n5OSEYsWKZfiAKAB89x3L0ytXBsqWTd+1aLXs0Td0KBASwoBotWrADz8Ad+8CTZum7/qEEMKU/Pk5mX7zZqBnTwaTXr5kn8YZM4BPPwXu37ftGlQqYNgwoEAB4L//+PkpRGpcvsx+h//8wwFjixcDY8YAH30EBAXxvaZWc5sjR5hZ2qULsHOnfWWP6krof/45fdchhBBCCCHsR6YNip4/fx5t27bFX3/9BSBpeTwAJCQkoEyZMujXrx8WLVqEmzdvpscyU+3AAV4n7h+WHuLjOUl+5Up+3bMns52OHAF69bLO9HohhLA1Z2fg3XeBRYuA27eZ+T5pEj/D/vkH6NMHOHPGtmtwd+fQJQDw9LTtc4mswdUVKFECaNQI+OQTYPJk/r4OCQFu3mTwPywMmDkTCAjgwLGvv2bw9NGj9F69MsWL8/rJE32VihBCCCGEEKZkyqCoVqvF9OnTceDAAcyePft1YFT3b4A+SFq3bl08fPgQFy5cSJe1pkZMDA9igPQtnY+KAkaNAv74g9kmixbxUqFC+q1JCCFSS6ViFv7YscCpUywtfvIEGDIE2LbNds8bG8uTSgCDWELYmpMT4O8PfP4520hMncrvHToEdOvG4U0ZPWvUxUV/WyaBCyGEEEIIJTJlUFSlUsHDwwOlS5eGk5MTpk2bhj///PP1vwH64GhwcDAKFSqEqVOnptt6U+r0aR48e3un3+T5x4+BQYM4edPVlVNue/ZMn7UIIYStFC7MPsnvv8/M+G++4eXpU+s/15kz/Gz380v/tigi63F05DCmEyd4UuDFC2DKFGD8eP7Oz6gS9/uVoKj1+PjwIgyT10cIIYSwb5kyKAoAQUFBaNOmDUaOHAkHBwfMnDkTJ0+exPTp03Hz5k2oVCpoXtVXjR8/HkuWLEnnFVvuyBFelynDjKa0duUK0L8/+5Vlzw7s3w8EB6f9OoQQIi14eHBg3Fdf8TN32zYGSSdNYpl9QoJ1nuf4cV43bJg+n+1CAED58uyxO2kS4ODAUvtu3YC//sqY5elqNbNbAQmKWouHB/DgAS8eHum9moxHXh8hhBDC/mXaoKiXlxe2bt2KatWqYdiwYfDw8ECLFi0wcuRIuLyqsdJljTZt2hTFdc2o7MjRo7wuXTptn/fiReCLL5gReu8e+3gdPw5UrZq26xBCiLSmUrFdyO+/cyp9fDzw998cMPfxx8CaNanPpvvf/3gtpfMivTk5sX3E8eNApUrA8+fsR9qmDa937+b3MgpdCb0ERYUQQgghhBKZNihasmTJ15mgDRo0wIsXL/DkyRNUr14dly9fBpB8+JK9SZwpmhZOneJU5L59gdBQBgfef58lpcWKpc0ahBAiI2jaFDh2jCXGfftyONKdO5zs3b49MG4cT1xZmj369Cmz7wFmigqREfj78/08fjyQMydL6v/6i2X1bdoAn30GrF0L3LiRvr1HdUHRqKj0W4MQQgghhLAf9h0VNKF48eJwcXHBrVu30LlzZ5w/fx4zZ85E3rx5MWTIEOzfvz+9l5gqT55wEjJg20xRrZYHQp99pu8dqlYzI+rcOWD9eiB3bts9vxBCZGQBAcCCBcD9+8DSpcA777C0OCQEGDEC+PBDYPly4MIFZSXHJ07wukIFIG9e265dCEs4OwMTJvC9fuAA+46WL8/A/+nTHLDYrRvQqRMwdy6HNN25k7al9pIpal3R0UDdurzIa5qcvD5CCCGE/XNM7wXYglarRXx8PLRaLWrUqAG1Wo3t27fD398fhQoVwooVK1C4cOH0XmaqHDvGaz8/IFs26z9+QgIzQFetAi5d4vecnHjAM2IEULSo9Z9TCCHslYcHPx+7deOgpMWLgZUrgfBw4KefePHwYAlyQAAH2BQuzJNMien6iUrpvMioHByAwEBepk5lduj27cBvvzF79O5dYNMmXnTb583Lv1fy5eO17ravb9Kp8amlG7YkASrrSEgA9u3T3xZJyesjhBBC2D+7DYomJCRAq9XCwcEhyffUajVUKhWcnZ3Ru3dvzJs3D/Pnz4e/vz8AoHnz5qhTpw487LwjurX7iWq1zGS6fJlZIIcOAdev899cXFgeOnQoD2KEEEIYV6ECM+W+/hr45Rfg11954Pz0KU82HTzI7bJnZ1ly5cpA/foswZegqLA3hQtz6GL//kBkJAOjv/3GbNJr14CYGOD2bV50J3QTe+stoEgRtuEpWRKoWVM/MMlSrq68lqCoEEIIIYRQwi6DoufPn8dXX32Fe/fuoUSJEmjRogWCg4OhVquh0WheB0rbt2+P4OBgZM+eHQAzSFUqld0HRAEGMAHAxyd1j3P/PrBrF/DHH8B//yX9N3d3fdn8W2+l7nmEECKrcXNjq5GPP2YJ8cmTDBjt2cPy+qdPgb17eVm5ksHUBw8YEKpdO33XLkRKeHgArVrxAjB77s4d4OpV4MqV5NfPn/PvkPv39X3S8+cHevdmJuqreZgmxcayz/nvv+srW+LibPPz2YJWq0WUmSaokZGRabQaIYQQQoisxe6CopcuXULNmjXRrFkzVK1aFTt27MDx48exe/dufPvtt3BwcEBMTAxcXFzg5OSE7NmzJ8kgzSwaNuSU4y1bePBhSQZnTAwzOHbu5JRj3VAEV1c+bpEizNbo1AnIkcM26xdCiKzEwQGoUoWX4cMZyDl6lAHS5cuZUbdnD4NAX33Fk1JC2Du1mkHO/PmBOnWS/ptWCzx6BFy8yJ6kp04BmzfzBO3Yscyi7tuXf48Ycv06A6G7djG4qtOkSfLnyqi0Wi2CgoJwUJc+LoQQIk09ePAAXbt2xd69e5E/f34sWLAADRo0SNG2ljyWECLjsKugqFarxYoVK9CkSROsXbsWADB69GjMnTsXv/zyC3r16oVFixbB5VWDqq1bt6JGjRrInQknAXXtyn6fe/YAM2cCs2Yl702nExfHsrV//2UQdM8elrjp1KnDPnht2wKenmmyfCGEyNKcnYGgIF6GDuVU7/37GRCVv59FVqBSsdpFtx8AwIwZbDsxYwYzq/v0YZCze3cOdYyKAv7+m8HQ8+f1j+Xnx79june3r57nUVFRFgVEAwMD4S5nTISwWxEREYiIiEjyvWzZssHNzS2dVpQ1dO3aFXXr1kXXrl2T/Vv//v2RN29ePHjwALt370b79u1x+fJl5MyZ0+JtLXksIUTGYVdBUZVKhTt37uDevXuvv+fl5YWBAwfC1dUVP//8M6ZNm4aRI0di+/bt6N+/P7p06YJJkyZBbSxiaKdUKg7yKFeOBw6//QY0bcoMixs3ePn3X17++y/59NdChRhY7dzZvg4ghBAis3F3ZxBIiKzO2xuYMgXo1QsYPZoVMTt3ssVE1arsSfryJbd1cABatgQ++YSBU0e7+os2ufDwcLPtndzd3TNV1ZMQKfXTTz+hW7duuH79ul0Nz505cyYmTpyY5HvLli0zGKwTthcREYHNmzfj2rVrcHd3R6tWrVChQgVs2bIF3bp1s2hbSx5LCJGx2E2kUPuqxrty5crQaDS4pGscBQZGu3fvjoCAAGzbtg2xsbEIDg5G9+7d0b1790wXENUpWhSYNo23584FmjUDevQAvvyS/en272dQVKMBvLyA6tV5oLFnD0s1J0yQgKgQQgghMpZChYDVq4HDhzl46eVL9uF9+ZLl9NOnswJm0yYgONj+A6IA4OHhYfaSHgFRd3dp52GKvD7CEp07d8aff/6Z5NKkSZP0XlaqHTt2DAMGDEC5cuXg4eGBggULon379vjnn38UP0ZMTAxGjBgBPz8/uLm5oXr16vjzzz+TbLN3716oVCqDl8OHD1u87suXL8PT0xP58+d//b0KFSrg3LlzFm9ryWMJITIWu/kzUveHYPPmzTFp0iRMnz4dc+bMgaenJ7RaLXLkyIGxY8eiUKFC2LVrF1q0aJHsTFxmNGAApxsfOMCvs2UDypZlBmnZsvpL/vzKBhYIIYQQQmQE1avz75uNG9n+p3lz5QOYROp5eCRttySSSs/XR8nwLckszniKFi2KopkwI+Xrr79GaGgo3n//fVSsWBH37t3Dd999h8qVK+Pw4cMoX7682cfo2rUrfvnlFwwaNAglSpTATz/9hObNm+Pvv/9GkK7HyisDBw5E1apVk3yvePHiFq87IiIC3t7eSb7n7e2NR48eWbytJY8lhMhY7CYoqlOsWDGsX78ezZo1g5ubGyZMmACfVyPYnZycULFiReTKlSudV5l2HBzYW+vkSaBYMcDXVw4WhBBCCJE5qFTsed62bXqvRIiMI0+ePGa3CQwMREhIiARGhc0NGTIEa9asgbOz8+vvdejQARUqVMC0adOwatUqk/c/evQofv75Z8yYMQNDhw4FwKza8uXLY/jw4cl6L9eqVQvt2rUz+ZgtWrTAgVdZQ1FRUVi/fj0GDRoEABg5ciRGjhwJT09PPE88qQ/A8+fP4WlgyIa5bS15LCFExmKXdeX16tXDhg0bsGTJEvTu3Rvr1q3DhQsXMGfOHNy/fx8FChRI7yWmKS8voFYtDhqQv3uEEEIIIYTIXNzd3REYGKh4+9DQUERFRdlwRRlLWFgYmjVrBm9vb3h6eqJBgwYGS6r37t2Lt99+G66urihWrBh++OEHTJgwwabB43r16qF27do4ceIEmjVrBi8vL+TLlw9z5syx2XOmpZo1ayYJiAJAiRIlUK5cOVy4cMHs/X/55Rc4ODigV69er7/n6uqKHj164NChQ7h161ay+7x48QLx8fFGH/O3337D06dP8fTpU3z44YdYsGDB669Hjhz5eo0RERG4ffv26/udPXsW5cqVS/Z45ra15LGEEBmLXQZFAaBly5Y4ePAgHj16hBEjRqBly5bYuHEjtm/fnqSXhxBCCCGEEMIyL1+yZ2twsH7AldBL69dHpVIhJCTk9QRzY5fw8HDbLyaDOXfuHGrVqoVTp05h+PDhGDt2LK5fv466deviyJEjr7cLCwtD06ZN8ejRI0ycOBE9evTApEmTsHnzZpuu78yZM3j69ClatmyJKlWqYObMmfD19cXgwYNx5syZVD12XFwcHj58qOiSkJBgpZ/IPK1Wi/Dw8NcVnaaEhYWhZMmSycrPq1WrBgA4efJkku9369YN3t7ecHV1Rb169XD8+PEUrdHT0xPvvvsuxo8fj+joaPz22284ffo03n33XYu3teSxhBAZi92VzydWuXJlbN26FY8fP8aLFy/g6+ur6INXCCGEEEIIW9FqtWaz9JT0hUxPGg1bNOlui6TS4/VRqVTw8PBImyezI1988QXi4uJw4MCB1z07O3fujFKlSmH48OHYt28fAGD8+PFwcHBAaGgo/Pz8AADt27dHmTJlbLa2u3fv4tGjR1Cr1Thx4sTr5J3atWujbNmyCAsLQ4UKFVL8+KGhoahXr56iba9fv47ChQun+LkssXr1aty+fRuTJk0yu+3du3fh6+ub7Pu67925cwcA4OzsjLZt26J58+bw8fHB+fPnMXPmTNSqVQsHDx5EQECAxetcsGABunTpgly5ciF//vxYt24dcubMCQBo1qwZatWqhdGjR5vdVsm/CyEyJrsOigJsYPzmWSUhhBBCCCHSg1arRVBQULI+eEII69NoNNi1axdat26dZIiRr68vPvzwQyxevBjPnz+Hh4cHdu/ejTZt2rwOiAIc0NOsWTNs27bNJuvTZYKOHz8+STWjk5MTACQrO7dUpUqVkk1pNyZv3rwm/z0hIQGxsbGKHsvFxcVoy4GLFy+if//+qFGjBrp06WL2saKjo+Hi4pLs+66urq//HWCZfs2aNV//e6tWrdCuXTtUrFgRo0aNws6dOw0+/k8//WT0uXPnzo3fdWc33rBjxw7F2yr5dyFExmT3QVEhhBBCCCEyiqioKIsCooGBgXB3d7fhikRWlRWm1D948ABRUVEoVapUsn8rU6YMEhIScOvWLeTMmRPR0dEGp5Qb+t7ChQuxePFinDlzBmPGjMGECROSPGfXrl2xd+9e5M+fHwsWLECDBg0Mrk8XFG3dunWS71+8eBEADK7bEjly5EDDhg1T9Rg6+/fvV5x1euHCBZQuXTrZ9+/du4fg4GBky5btda9Qc9zc3BATE5Ps+y9f9aVwc3Mzet/ixYvj3XffxcaNG6HRaBQ9nxBCJCZBUSGEEEIIISwQGRlp9OA7cSAqPDzcbLmzvQelRMYlU+pTztfXFxMmTMCaNWuS/Vv//v2RN29ePHjwALt370b79u1x+fJlg6XSp0+fRt68eZEvX74k3z916hQcHR1RtmzZVK0zNjYWjx8/VrRt7ty5TQYNS5cujWXLlil6LEPl7s+ePUOzZs3w9OlThISEJMnINfdYiQcU6dy9excAzD5OgQIFEBsbi8jISKkgFUJYTIKiQgghhBBCWEDpwb6Hh4f0gBRpSjelPjQ0VNH2oaGhePDggVXep+nRJzd37txwd3fHpUuXkv3bxYsXoVarUaBAAXh4eMDV1RVXrlxJtp2h7+kyO98sh46IiMDmzZtx7do1uLu7o1WrVqhQoQK2bNmCbt26JXucM2fOoFKlSsm+f/r0aZQsWTJJ2Xh8fDxGjRqFxYsXw8fHB0OHDsW3335r8GfTOXjwoNV6iubNmxddu3ZV9FhvevnyJVq2bIl//vkHu3fvtijY6+/vj7///hvPnz9PEtTUDcny9/c3ef9r167B1dUVnp6eFq/bkqxfc9ta8lhCiIxDgqJCCCGEEEJYmZTFi/Sgm1KvZNCXLpNUSUZpRuXg4IDGjRtjy5YtuHHjxuugX3h4ONasWYOgoKDXgbaGDRti8+bNuHPnzusTG1euXEnWO9KUy5cvw9PTM0l/0AoVKuDcuXPJttVoNLhw4QIaNWqU7N9OnTqVbDDQsGHDcOXKFVy9ehVRUVGoUaMGqlevbnI91uwpmlIajQYdOnTAoUOHsGXLFtSoUcPotlFRUbh58yZ8fHxeD0hu164dZs6ciUWLFmHo0KEAgJiYGCxbtgzVq1dHgQIFADDomDt37iSPd+rUKWzduhXNmjWDWq22eO2WZP2a29aSxxJCZBwSFLUxrVYLAHj+/Hk6ryT9xcfHv/4D7fnz53B0lLdfVqfbL3T7iTGyHwlzsvLni+xH4k1ZeX9IKUv3o0uXLsHLy8vktu7u7njx4oV1FpgOEif9PX8uE+jfZO+vj4uLC6pXr/46G8+azO1H1jZ58mT8+eefCAoKQr9+/eDo6IgffvgBMTExmD59+uvtJkyYgF27diEwMBB9+/aFRqPBd999h/Lly+PkyZOKnisiIiJZiba3tzcePXqUbNvLly/j5cuXyTJFo6OjceXKlSRDiO7cuYOlS5fi0qVLyJUrF3LlyoXq1aujfPnyJtdjzZ6iKfX5559j69ataNmyJR4/foxVq1Yl+fePPvro9e2jR4+iXr16GD9+/Os+rdWrV8f777+PUaNG4f79+yhevDiWL1+OGzdu4Mcff3x93w4dOsDNzQ01a9bEW2+9hfPnz2PRokVwd3fHtGnTLF63JVm/5ra1NINYCJFxyF/JNqb7Y1h3hksIkdyLFy+QLVs2k/8OyH4khCmyHwmRekr3o9QOR7E3CrsFZFny+iRlbj+ytnLlyiEkJASjRo3C1KlTkZCQgOrVq2PVqlVJMi2rVKmCHTt2YOjQoRg7diwKFCiASZMm4cKFC68HH5nj6emZ7OTi8+fPDZZu64YsvRkUPXv2LDQaDSpWrPj6e3/99Rf8/f2TZHM+fvzYbFA0I9AFlLdt24Zt27Yl+/fEQVFjVqxYgbFjx2LlypV48uQJKlasiN9++w21a9d+vU3r1q2xevVqfPPNN3j+/Dly586N9957D+PHjzc4LMscS7J+zW1ryWMJITIWCYramJ+fH27dugUvLy+bNDB//vw5ChQogFu3btlFY2l7Wy9gf2u2p/VqtVq8ePHCbG82Q/uRPf2cgP2tF7C/NdvbegHrrDk1+1F6sbf/K3tbL2B/a07v9drjfgSk/+tmKVmvbaX3epXuR6nVtWvXZL0vAwICsHPnTrP3rV+/Pk6cOJHke61bt04SzDKlRIkSiIiIwO3bt18PTzp79iw6d+6cbNv333/fYNZs1apVk33/0aNHSQKiDx8+xNGjR7FgwQJF60pPe/fuVbxt3bp1Db4mrq6umDFjBmbMmGH0vgMHDsTAgQNTskSDLMn6NbetJY8lhMhYJChqY2q1WvEv2dTw9va2iz/WdOxtvYD9rdle1qskk8DUfmQvP6eOva0XsL8129t6gdSvObX7UXqxt/8re1svYH9rTs/12ut+BMj/s63JepVLywzRlIiOjoabm9vrry9fvozff/89SSk7wDYk8fHx0Gg0iI+Px8uXL+Hk5ARPT0+8++67GD9+PObNm4e//voLp0+fxrvvvpuqdZUqVQpff/01bt++DWdnZ/To0QMajQYlSpRI1eNmVUFBQUaHjY0ZMwaTJ0+2KOvX3LaWPJYQImOxvBuxEEIIIYQQQghhZ4oWLfp6wvsXX3yBd955B87Ozhg+fHiS7SZPngw3NzcsWbIEU6ZMgZubG1auXAkAWLBgAe7cuYNcuXJhyJAhWLduXaqH6TRt2hTNmjVD6dKlUb9+fQQGBqJChQrSEzqFDhw4AK1Wa/AyefJkAEmzfnXOnj2LcuXKJXs8c9ta8lhCiIxFgqJCCCGEEEIIITK9pk2bYu3atfj0008xb948VK1aFfv370+WkTlhwoRkwTRdyX7u3Lnx+++/IyoqCv/8849VBh2pVCosXboUL168wJkzZ/DgwQM0adIk1Y8rjEuc9RsdHY3ffvvNaNavuW0teSwhRMYip57snIuLC8aPHw8XF5f0Xooi9rZe/J+98w6Povre+Lu76ZUOCb333oTQpAmKqKgUBVFE8aeIYkERUERFUJSvioUmCogoKoqCiIggvffeQm+BQEghZXd/f7wMk0BIdmdnd3Y35/M88+wEdmduNnNn7n3vOe+B77XZ19qrFV/7PX2tvYDvtdnX2gv4Zpv1wNd+b19rL+B7bfa19noLvva9SXvdi6+11whmzJhhdBNyZc2aNShfvjxKliyJ+fPnY9asWTcKGAnu44svvkD//v1RtGhRlClTJkfUb9euXdG6dWu88cYb+b7Xkf8XBME7MdlzczoWBEEQBEEQBEEQBMHtfPbZZ3jzzTdhs9lQv359fPTRR2jatKnRzRIEQfB7RBQVBEEQBEEQBEEQBEEQBKFAIZ6igiAIgiAIgiAIgiAIgiAUKMRT1M3YbDacPn0akZGRMJlMRjdHELwKu92Oq1evIjY2Fmbz7ddopB8Jwu2RfiQIriP9SBBcR/qRILiOo/1IEAR9EFHUzZw+fRply5Y1uhmC4NWcOHECZcqUue3/Sz8ShPyRfiQIriP9SBBcR/qRILhOfv1IEAR9EFHUzURGRgLgTS0qKsrg1hhLVlYWFixYAADo3r07AgLk8ivoJCUloWzZsjf6ye2QfiTkR0G+v0g/Em6mIPcHrUg/EgTXkX6kHasVWLOG+y1bAhaLse1xBl9uuzfiaD8SBEEfZJTsZpSUkKioqAL/0M/KykJYWBgAfh8ySRMU8kudkn4k5IfcX6QfCSrSH7Qj/UgQXEf6kTbuucfoFmjHl9vurYi1hCB4BjGpEARBEARBEARBEARBEAShQCGhA3lgt9tlhUYQBEEQBEEQBEFwG5mZwJQp3H/6aSAw0Nj2OIMvt10QBEFE0WxcvHgRly9fRlJSEho2bAiTyeS0MJqeno709PQbPyclJbmjqYLg10g/EgTXkX4kCK4j/UgQBE+QkQEMHsz9xx/3LWHRl9suCIIg6fPX2bVrF+655x7ce++9uP/++/Hss88CcN7L4/3330d0dPSNTSorCoLzSD8SBNeRfiQIriP9SBAEQRAEwX8RURTAnj170Lp1a7Rr1w5ffPEFXn/9dfz11184fPiw08caPnw4rly5cmM7ceKEG1osCP6N9CNBcB3pR4LgOtKPBEEQBEEQ/JcCnz5//vx59O3bF0899RTGjRsHAKhUqRLmzZuHhIQEnD59Gq1bt3b4eMHBwQgODnZXcwWhQCD9SBBcR/qRILiO9CNBEARBEAT/pcCLohaLBd26dcMDDzxw49+++eYbbNiwAY899hjS0tIQGxuLv/76C9HR0Qa2VBAEQRAEQRAEQRAEQRAEPSjQ6fN2ux1FixbFsGHD0LBhQwDA7NmzMWnSJHz77bdYuHAhVq1ahTNnzuCNN94wuLWCIAiCIAiCIAiCIAiCIOhBgYwUTU9Pz5EKFRERcWO/bNmyWLhwIZo2bXrj35o2bYrExESPtlEQBEEQBEEQBEEQBEEQBPdQ4ETR3bt3Y9iwYUhJSUF6ejpGjhyJ5s2bo1ixYgCAtm3b5ni/1WqFyWRC7dq1ATC61NmK9IIgCIIgCIIgCIKQG8HBwB9/qPu+hC+3XRAEoUClzx8+fBhxcXEoU6YMunbtiooVK6J///54//33sW/fPgAUPbMzevRorF27Fr179wYAEUQFQRAEQRAEQRAE3QgIAO65h1uAj4Ut+XLbBUEQCtRta86cOWjWrBkmT558498mTZqEyZMnIzU1Fa+88goqV64MAFi9ejVmzJiBBQsW4K+//rrx74IgCIIgCIIgCIIgCIIg+DYFShS1Wq24evUqrl27hsDAQFgsFgwePBhBQUH48MMPUalSJbz66qu4fPkyTp06BbvdjuXLl6NWrVpGN10QBEEQBEEQBEHwQzIzge++4/6jjwKBgca2xxl8ue2CIAgFShSNiYnBvn37cO7cOZQvX/5GwaWnn34aZ8+exbvvvos+ffqgTJky6N69O+69916EhoYa3WxBEARBEARBEATBT8nIAJ54gvsPP6yPsGi325GamurQe8PCwjTbxLmj7YIgCJ6iQHmKDho0CHXr1kW3bt2QkZGB4OBgXLt2DQAwfPhwREVFYcmSJQCAkJAQEUQFQRAEQRAEQRAEn8Jut6NVq1aIiIhwaGvduvUttTUEQRAKAgVGFFVu8h999BEAoEWLFkhJSUFISAgAIDk5GYUKFUKRIkUMa6MgCIIgCIIgCIIguEJqairWrFnj8PtXr17tcFSpIAiCP1Fg0ueVdIDGjRtj0qRJePHFF1GrVi1MmDAB4eHhWLNmDc6fP48GDRoY21BBEARBEARBEARB0IFz584hPDw81/9LSUlByZIlPdwiQRAE78HvRVGbzQazWQ2INZvNaNOmDRYuXIjXX38dw4cPBwBERUVh8eLFqFChgkEtFQRBEARBEARBEAT9CA8Pv60oKgiCUNDxK1H02LFjWLx4MZKSklC+fHn07NkTZrMZdrv9RqSoIpLGxsZi5syZOHLkCMLCwhAUFCSp84IgCIIgCIIgCIIgCIJQAPAbUXTnzp3o2rUratasidOnT+Pq1avYv38/Ro0alaOSnhI1mpaWhtDQUFSqVMmoJguCIAiCIAiCIAiCIAiCYAB+IYrGx8fjvvvuQ9++fTF27FicP38es2bNwh9//IGnn376Fp+Ul19+GSaTCW+//bakEgiCIAiCIAiCIAiGERwM/Pijuu9L+HLbBUEQfL76vNVqxdy5c1GzZk2MGDECZrMZpUqVQlxcHLZu3YrExMRbPlOmTBnMmDFDKuwJgiAIgiAIgiAIhhIQADz8MLcAHwtb8uW2C4Ig+Pxty2KxoEaNGggPD0dkZCQA+obWqVMHhQsXzlX4HDp0KJ544gkUKlTIw60VBEEQBEEQBEEQBEEQBMFofF4UBYD27dsjKioKAGC322E2mxEZGYmgoCBcu3btxvv+/vtvdOrUCQBEEBUEQRAEQRAEQRAMJysLmD+f+w884FsRl77cdkEQBL+4ZSmCKACYTCZYrVYkJycjJSUFAdfvyqNGjcJ7772HEydOIDY2NkfxJUEQBEEQBEEQBEEwgvR0oGdP7icn+5aw6MttFwRB8HlPUQDIysq65d9sNhsAIDIyEuPHj8fEiROxceNGlC5dWgRRQRAEQRAEQRAEQRAEQSjA+Pw6jtVqRUBAAOLj47FixQr0798fFosF0dHRiImJwaBBg7BhwwasWrUKjRs3Nrq5giAIgiAIgiAIgiAIgiAYjE9HimZlZcFisSA+Ph7Vq1fHsmXLbvxfYmIi9u/fj3Xr1mHDhg1o0qSJgS0VBEEQBEEQBEEQBEEQBMFb8FlRNCsr60aEaKNGjdC3b19Mnz4dAIstRUdHY9y4cdi1axfq1atncGv9E6sVOHPG6FYIgiAIgiAIvkhGBvD880CVKsAvvxjdGkEQBEEQCho+KYreLIh2794dkydPvlFUyWQyISAgAM888wyqVatmcGv9kwsXgJYtgdhYYMgQ4No1o1skCIIgCN7Jli3A6NHAunWA3W50awTBO7hwAejYEZg0CTh8GHjwQeCFF1i0RRAEQRAEwRP4nCia3UNUEUSnTZt2QxDNTm7/JrjOsWNAq1bAhg38+bPPgGbNgD17jG2XIAjGYLcD77wDNG5M4WfbNuB6rTtBKPDExwN33gm8/TbQogVQuTLwxhvAqlWs0isIBZFt24CmTYGVK4HwcKBzZ/77p58CrVuz3wiCkDt2ux0pKSn5boIgCEL++JxqaLFYcOzYMdSuXRu9evXC1KlTYbFYjG5WgSEhAWjfHjhyBChZEujbF/j6a2DnTkaO7tgBlCtndCsFQfAky5YBb77J/S1bKP4ULgy0bUsx6M47gdq1AbPPLcMJguu8+y6QlASUKMHXo0eB99/nZjIBNWpwQUHZqlYFrlwBLl7MeytUCJgwgSKrIPgKp09z8Wz6dC6excYCY8cC5csD7doB48YBGzcC//d/wJ9/Gt1aQfAcQUHAjBnq/u2w2+1o1aoV1qxZ45mGOYCjbRcEQfBGfE4UtVqtGDNmDPr06YOvvvpKBFEPkp4OPPAABdGYGOCTT4DixSmGvvYacOgQ8NBDwH//ASEhRrdWEARPkX0hpEYNRvgkJgK//soNAIoVo0jarh0jgsTZRCgoKPYyDzwA3HcfsHYtsHw5sysuXgT27uU2e7bzx96yhZF2shgpeDtJScAHHwAffaT2idatgZdfBqKj+XOLFkCTJlxoq1DBsKYKgiEEBgKPP57/+1JTU50SROPi4hAWFqa9YQ7gaNsFQRC8EZ8TRS0WCyZMmIDo6GiYJezIY9jtwFNPMd0vPJyr+sWL8/+KFGHq7KBBXN0fMgSYMsXY9gqC4DmqVmWE2+bNFH06dgQOHGB65LZtjCRPSAB+/pkbALz+OiPoZF1L8HdiYvh68SIQGspsi/bt1X87cCDnlpDA52xUlLpFR+f8OTISmDkTOH4c6NCBi5HKeQTBm8jIAL76iuPEhAT+W+3aHDPWrZvzvVevUuQHgCef9Gw7BcEXOXfuHMLDw/N8T1hYGEwmk4daJAiC4Hv4nCgKAIULFza6CQWOsWOBWbOY/jp69K0r+KVKASNHMmJ06lR6jA4caERLBUEwgjvvpCi6dy/QpQtQqxa3Rx4BsrKA/fuBrVsZ2bZ1K1MkN20Cvv+eUaSC4K8oYuWlS7f+X9GijI5r0UL9N6vVscWCevVYlObQIS5ELF+uLlYKgjfw++/Aiy8ywwgAypblAnurVrSOuJmlS4HMTIqljRt7tKmCYDhZWcBff3H/rrsAR0pjhIeH5yuKegItbRcEQfAWJNRSyJcff6TgCXAC1qRJ7u9r2hQYMID7zz7LqFFBEAoGd9zB1717b/2/gABGBvXtC3z8MTBqFC02li7lxHfTJs+2VRA8SV6iaG44Gj1dogRTkYsVYyp+5860rRAEo7l8mam03btTEC1cGBg6lB70rVvnLogCqofok0/e/j2C4K+kpwPdunFLTze6Nc7hy20XBEEQUVTIkw0bgH79uP/ggxzg5sUjjwBxcVzpf/BB4MIF97dREATjad6cr4cPA2lpeb+3fXvgiy+AMmWY/tuyJYtuCII/UqoUXy9e1P/YsbEURgsXplVF165MQRYEo1i6lJGe335LYbNXL+C77zh+zCt67NAh4OBBehP27eu59gqCIAiCULARUVS4LcePcxCbkcEosP/7v/w/YzbTK7BsWeDECaBPH6ZUCILg35QpA5QuzWrCBw7k//6KFYEvv1QXUQYOZFqlUoBDEPwFZyNFnaVcOeDDD+k1un49I3VSU91zLkG4HSkpwODBQKdOwMmTFOw/+QR45hl66ebHokV8vf9+2koIgiAIgiB4AhFFhVy5epUTq3PngEqVmO7qaEpfRATw9ttMj/3nH2DECPe2VRC8kVOn6PF3+bLRLcmdKVMYobl8uX7HzCuFPjciIoAxY9RUyWnTmFp5/Lh+bRJ8G6uVIvvWrcCaNYxC+/132rp8+y0LuHz8MfDee8Cnn7LCtbehiKIpKe5LK6xcmZW9w8NZdKlPH/ecRxByY80aoEED4PPP+fN99/F+fnMhpduRkcG+DRScAkt2u9EtEIRbSUlJyXezy8UrCIKfITbIwi1YrZxQ7dzJlLyxY4GwMOeOUbEiiy69/TYnas2acZDs72RlAT/8wOqpxYszci77Vrw4o2kF/+TMGeCnnyjYrFrFfzOZODFs3Rpo04avRleJ3rOHvr9WKytXv/ceMGyY69dm8+asLr9nj+OfMZuZKlm9OqvRb9rE7+vnn1k8RiiY2O28BkaMcCzyWGHcOKaT9+7tPZ6EUVFcJLx2jSn0sbHuOU/16sD777Mv//MP0L+/e84jCArXrgFvvQVMmMAsgeLFef3dznv+dqxaxcX4smX9/76/Zw/w0kvAv/9yrFy7ds6tWjUgKMjoVgoFlZIlS+b7nri4OKxcuVIq2guC4DeIKCrkwG6nGf7ChRyUvfce4MDzMVfatWPE2I8/0pf0s8+AyEhdm+sVWK30UVy5Ehg/np5YtyMwkIKYIpJWr850M8VzTvA9kpOB2bMphq9YkTP6o1gxICEB2LGDmxJFU7kyxdFWrYDy5dnHypeneOJukpJohWG1ctEjMREYPpyRPqNHc1IWHKzt2M5GimanaVNg8mROsA8cYPXSd95h5WJnF2UE38VqZQXbN98ENm/mvwUFsW8EBfHaDA7mfkiIuh8czD528iS9radN47XUtKljqbvuxGTiPT4+3r2iKMAFhXffZV9WyMqSSsCC/mzZAjz2GLB7N3++6y6OZyIinD/WkiV8ffxxx7OSXCU1FVi9mu1v0EC1gHHH/eLqVT4Xv/sOmDSJAjIA7N/P7Zdf1PcGBFAYVUTSZs2ALl28Z5FH8D/CwsIQFxeH1atXO/T+1atXIzU11Suq3guCIOiBDJOFHHz7LcVLgN6gNWu6drynn6ZIuHUr8NxzwMyZ/PfZs4F773Wvb5TdDly5QiEyOJgDbVcGlVYrPeF27uTkW3ndvTtnYZmoKE4OMjJYaCohgVtiIr0Tjx/PmR48cSIFgBde4CRf8A1sNl7Pb7zBCFGFWrWAO+8E2rZl1MylS6oounMnBXRl++abnMcsVAioUIECqfKafb9IEeevYbudk7FFi1jZ97//KJKEhNDTc+NGph3//ju3gAD+Dg0bcqLYsCFQp45j51bE1IQETjidFTNLleL953//Y1tHjKAw+sADjPy76y7tgq3g3ezYAcyaBcyZA5w+zX8LDQV69gQefphp4fmRkcHFidmzgWXLuFksvIbvuEPdKlVSozaVLSHh1n2rlYJEq1bsC84Ii1lZXGhYsID9Kj6e/+6JIkiNGwMjR6o/33EHF2IiIriFh9+6Hx7OqLX69d3fPsG3OXCAHrZff83nYOHCjHxs1Ur7MXft4uuiRUCVKlxUL1dOl+YC4HPw8GFg3Tp127aNffxmihZVBdIyZdT9kiV5D7BY8t5SUxkNmn272RKmVSsGCyQl8d5w9Chf4+Nzfn7ePL6/d29+30Yv8Aj+iclkwsqVK5Gajxl1SkqKQ5GkgiAIvoaIosIN9u9Xiyk98QSFHVexWJjOOH8+sHix+u/PPEPfqLZtgR49aKxfpoz281y+fKtYuWtXzgmoyZQzqij7fkAABcuMjNu/5mWhExRE4apdO9oE5CYGZWVRIFOE0vPnmeK4fz8F6MmTOdHo0UMiArydlSsZwbhlC3+OjWVRsrZtb436LVKE10W7dvw5OZnX5s6dwL59FMsvXuTk6PJlTtS2bcv9vOHh6kTtZmuG7BO39HSm5i1axE0RZBTKlmVRo5Il6R1ctSqrv+/bxz6jiLjffqt+JiCAk8XixRkBq7wq+4ULM+IUoCijNbozKAh49VUKsbNnU3D+/ntu0dGqQNq+PRc8BN/l1CmKoLNmsT8oREYyMuqRR7hQ4ChBQRQaOnakgLB5M/vXpk3cJk3i+wIDeV93hO+/52tEBNCiBSO8W7emVcTNAkVSEp9zv//Ofpe9sFJAAAVWRz0WXaVZMz5rAPbr7dsd+9xrrzEFX55Bws2sX087pPnz1fFQu3Zc0HWmn+ZGkybMtNi8WbV9qFiRz1Tl+Vm+fP7Hsdv5jL1wgUJjdhE0IeHW90dGclE7Joafyb5Y4mifcZQiRbgg07s3n5EK2a0G7Ha2QxFKjxzhOHHuXO7/+qvx9juC+wgKUp9TnrZQMJlMLkV+Gtl2QRAEVzHZxS3ZrSQlJSE6OhpXrlxBlCdyYzWSns4J39atjKr58EP9U5hstiwkJDBH6K23emDfvpyafNOmjASLjOSkNSAg52v2/ZQUVVhSUiY9RWwsB7bZt9hYbd+XzcYB75Qp6oC9TRtGjzZqpG+7vRFH+4c39aMxY5iWC1Ck7NePQp2rg8C0NODsWRY3y+01MdGx4ygR0VlZ6r8FBrJfN2/OrXTp3D9rt1OsP3iQUTUHDwKHDrENjlKuHAfGelhl2O0UdJYtY0Go7JPaYsWABx/kBLN1a8Buz8Iv13MQe/TogYAClC/sa/3IbmeE9fjxqrgSGMhnUKdOFPT0mFTZ7bx29+xhtPSePbymFUHUbKbQHhV162tUFPvQrl3cUlJyHjsggM+s1q25uLB4MRcisve7qCj2t7g4Ch+ezDS027Nw4QL7w86dPZCcHIC0NIo+aWm4ZT8lhX0N4KLl558XPP9rX+tHnsBup8D/wQfMMlBo2ZL3Xr1EfquVCxfbt3NRcP9+NcVcQVl4btCAWUAJCeoic/asnNsVMwsMZFp6zZrMhqhVCyhRQl0AyC6oKsdUtoQELlparWyXsuX2c2AgFx6VLA8l00PrpbJtG8ccSUlc/FywgM9zb0X6kftJSUlBxHWfiuTkZI+lsRt13oKI9A9B8CwiiroZX7mpvfQShbioKEaMFSum/zmyT9KKF++BM2cCsGoVo+5273a9EmfJkhQoK1bMKVbabJwE57VZrZzkKqKrxaKKsNk3xcNOb9LSmPY5dy4H9CYTo3Xffde/owJ8bfC8dy8jGG02RlgOGMAISU+Qnk7BUpn45TYhvHRJnUiWLElB5o47OIl0Je0uI4OT0CtXODHMbf/KFfabl192zzVrs1GcWraMk/PsInHp0sDYsVkICRFR1Bf60f/+R+9qAKhXj5Gd7dp5xnM6I4P9REkZdyQi0mpl5JaSibBzZ+5RZwDFkJYtudWu7Tl/xJu5+XlrMuXfH/74A/j4Yz6LH3mE9h4FKRrb1/qRO8nI4Hjkww/V1PaAAPbVXr0o9LmT1FSeV8mcyE0kzYvgYGY2VK+uCqBVqvhuBNupU1xIOn6c49Dvv2eGlTci/cj9iCjq/0j/EATPIqKom/GFm9qiRcA993B/7FhG67iDvCZply6x+uiBA4y0ycriRFTZlJ+VV4uFK++VK1MErVhRm7m/t3H+PDB1KrB0KX8ODQVGjaKA4I9+o742eL77bnpdxsVRsPY2rFbVu7ZUKf9NgbVaOVFWBNLkZCA4OAszZ4oo6u39aP58Rvja7YxI7NXLkGa4hN1OW4fsAmmjRnx2li1rdOuIFlEUYJ8aO5Z9rHt3Ltb547MnN3ypH7mL1FRa+Xz8sZqBExZGD/gHH6RVilHt2rWLkaQnT3IBpVAhRnYrr8pWqJB/XrPJycDbbzOiFqDNxWuved9zXvqRdqxWBooAzEK43aKaN4qijrZdcAzpH4LgWQrOrFHIlTNngEcf5X6PHu4TRPOjSBFOwAo6JUqwuMwDDzAFee9eRgdMmcKiPq1bG93CgsvixRREAwIo5ngjFot7ory9DYuFnmyNG9PP7uefGdWk8MYbXEzwROSh4Djr1wN9+lBU7N6dRZR8EZOJWQixsbR88Sfat+di3OjRTNO95x7gt9/8Y9FRyJukJKBDB1V0K1IEeOghCqJG//3Dwmir0ayZse0wkogIevR//jkXl4YPpyXI1KlSgNBfuHZNreeQnOxZyxVX8eW2C4IgFDDHKCE7Nhvw2GNMga1cGRg0yOgWCQq1alEUHTGCkRnx8Uwvfe+93KulCu4lK4sWEwAFa1eKggn6EhREoW3KFPXfPv0UqFED+PFH1205BH04coTFk9LTaeswZIj3RTgJpEUL+r2GhjJytGPHnEWjBP8jNZWWMJs2MdrylVeYot2nj/GCqKBisfDe+cIL9PydNYsLGefPG90yQRAEQfBdRBQtwEyYwDTtkBDgzTd912vJXzGbORn99lugc2eK2CNHUlhwpvCN4DqTJzNqNyqKCwmC91GihLofEwOcPs3U7Lvuoi2HYByJiYw4vHwZqFqVRUMktc67adCAKdRRUYzwbdeOBd8E/yMjg6nxK1cyumvCBPZXGRN6L/ffz+JXERHAmjWMoN250+hWCYIgCIJvIqJoAWXDBqaYAsDgwawYLXgnoaFMk3rtNQrYS5cC9euzar3gfhIT1b7yxBMSNeMLfPkl0L8/i8T8/TeLY40cyWgowbOkp9OaZd8+Rr2PHeta0S/Bc9SowaJYRYtScGndGjh2zOhWCXqSlcWiWosXc3wxbhwLEgneT+PGTKUvXZr9snlzeq4KgiAIguAcIopmY//+/fjjjz9cOkZ6ejqSkpJybN5GUhJToqxWRn/cfbfRLRIcoUsXij0VKjBStFMnRvj6Yzq9N/Wjd95hnylfnt5qgvcTHAw8/jgwYwYjaDIzaT1Ru7ZaSbkgYHQ/stuBgQOB5cvpCThuXMHwvPUnKlakHUVMDHDoENCqFQXugoTR/chdZGUBTz1FT+bAQBYPrFPH6FYJzlCuHPDFF0C9ekBaGjBgAP+ugiAIgiA4joii10lMTES9evXQvXt3zJkzR/Nx3n//fURHR9/YynpLKdpsPPcc/d1KlgRefll83XyJChUojN5zDwWHd95hsZJr14xumb54Sz9KSgI++4z7zz0nKb++RunSFOLefpvp9fHxtKQ4csTolnkGo/vRvHnA7NnsN2+/DVSq5NHTCzoRGwt88gkXhk6eZKZCz5707E1ONrp17sfofqQ3djvw008UQL/5hlY9b77JyEPB94iKoiVJRASwZQv/poIgCIIgOI6IotcpXLgwOnXqhJ49e6Jfv36YMWPGLe+xO1CxY/jw4bhy5cqN7cSJE+5ormZmz+ZmNjOdVFKBfY+QEBZBeOMNRnf88gt9Ey9fNrpl+uEt/WjPHkZdFC0KNG1qSBMEFzGZgDZtgGnTWFDu3DlGXV+4YHTL3I/R/eiLL/japw/QpIlHTy3oTPHiFEYbNKAH5bx59OwtWpT2CHPmcBHJHzG6H+nJ0qWMnn/4YWD/fgpqo0YxAljwXYoUAfr14/6ECfSgFwRBEATBMQKMboA3YLPZYDKZkJKSggcffBANGzbEk08+ieDgYDzyyCNYvHgx4uLiEBkZme+xgoODERwc7IFWO8+RI2qF+f79JU3K1+nUiRPVkSOB//6j8PPnn4yO83W8pR/t389X8dz1fSIjWVH7ueeAgwdZaXnZMhYW8VeM7Ed79wIrVnABrnt3Q5og6Ex0NIsvHTjAv+2KFSxoNn8+t8BALjg89BD/5oUKGd1iffCW55Er7NnDquWKF3loKKN9H37Yv++BBYlu3YCZMzluWbhQ7H58kcBAFtBS9n0JX267IAiCiKLXMZlMaNOmDcxmM1577TWkp6ejb9++mDhxIkJCQvDzzz87JIp6K1evsrpoaiq9hx591OgWCXrQoAELYbz+OgthtGwJrF3LdEfBdRTvPB/PlhSuU7QoB+3PP89ic716Ab/+CgTIk1B3pkzh6x13cPFG8A9MJqB6dW5PPQUcPqwKpCdOAL//zi0gAOjalX6kFSoY3eqCzdatQNu2HAcGBlKwfvRRoHBho1sm6ElYGIXQuXOBDz8UUdQXCQoCXn3V6FZow5fbLgiCUODT5202G8xmfg2RkZH47bffAABvvvkm6tevjy1btqB9+/YoUaKEkc10icxMRgNs28ZB8BtviDeiP1GlCjBpElCmDHD8ODBmjNEt8h8UUVQiRf2HcuVYAT04mNE0gwbRY0/Qj7Q01ddOokT9F5OJz58nnwS+/Rb4+mtmoVSoQNuR338HGjUC1qwxuqUFl+3bWVDz6lWgVi1GEg4e7BlB9NIlejo/8QRw9Kj7zyfQyiIgAFi5Eli/3ujWCIIgCIJvUCBF0fT09Bv7iiAKAJUrV77x84ABA3D27FkMHDgQ48aNw+TJkz3eTj2w24FnngH++otelGPHssCSp9uQkeHZcxY0SpWizygATJ9OcVRwHUmf909q16aPntlMIeett4xukX8xbx49jkuWFC/RgoLJxEr1jz8OzJjBflWlCpCYSFFu1iyjW1jw2LGDtjpJSUDNmrQPKVXK/ee12SiI9+nDsWd8PMeeUhXd/RQvDnTowP0JE4xti+A8ViuwcSM3q9Xo1jiHL7ddEAShwImiu3fvRo8ePdCuXTu0aNECCxcuREJCAgCgZcuWSE1NRZs2bbBo0SL8+eef+OyzzzBkyBC88cYbuHLlisGtd5533uHkRKkuWqOG58599iyjEvr2ZRqPRIu4l/r1gYYNOfEYN87o1vg+mZnAoUPc94b0eZsNSEjgdukSxYbLl4ErVxgFlJxMe4y0NC5CSKGFvImLA4YO5f477wA+uu7llXz1FV+7dZOsBGeJj6eQtHYtvTsTEnxzglmxIlPnW7fmvfSxx5ilIvclz7BrlyqI1qhB2xBPFNY8coTepR9/zOdQqVKMyj90CPjuO/efX6AtDMAinIcPG9sWwTmuXWMhtGbNuO9L+HLbBUEQCpST2uHDhxEXF4devXqhUqVK2L59O/r374/+/fvjySefROnSpXH8+HFYrVYsWrQIDRo0AAC8/fbbGDZsGKKjo439BZzkm2/UCKgXXgBatHD/OdPSmLazeDF9rLLz3ntqSqWvkJFBn7T4eG5KClrDht7pk/fYY/zep04Fhg/3DjHPVzl6lJP54GDAKPeMhARg0yauvG/a5Hx154AA+jwFBqqvyn5QECsPt2xJ4cJbbm+XL7NC8pIl7HtNmwLt2/P+pXetk27d+B1/+y3w7LOMbLz/fn3PUdDYsYOCnsUC3H235857/DiFoEKF6B1brBj39RRl7XY+A86cybldu8bChU2aaPNzTk1l0a9Fi1ig6mZMJv4uhQuzynTRoupr8eLcSpTg/5u9aKk7NBQYPZoLs999B7z/Pi1JZs70jEBXUNm9m/f0K1fo/frhh+7/vtPS+Hf94Qf2k4AARiw2a8YiTz//zPtsy5ZA1arubYteWK28Xteu5XbqFK0hqlblVq0aUKkSn6XeRMWK/N43bKDn/GefGd0iQRAEQfBuCpQoOmfOHDRr1ixHKvykSZMwefJkpKSk4MMPP8RPP/0Ek8mE6tWr33hPWFgYwsLCjGiyZpYsAQYO5P4jj7jX181mY5GfxYspZmRPkapYkRGM+/czgsBbycoCTp6kEKYIoPHx/LebI1uu286iTBmKow0acCtSxKNNzhWlLdu2MVr0888NbpAPo6TOlynjOaEhI4OikpKCdLMPm8nEV0c9MLOy8k9ZXLuWUT3NmjHNtVUrzwsWmZn0P1u8mBHl2X+/lSu5BQSwfe3bUyjVqzhS//4URhcuZITNsmWMIhWcx2bj4hfA68gT98S9e4E5c4BVq279P7NZFQ+zb4UKqX3JZMq5r2AyAenpzHjILoCmpOTejr//5mtsLNC4MbdGjYDb1We02yniLlqU87lpMnExKyOD0d8pKXxvYiK3vJ6jFgvF4BIlgJgYen0C7OPlyzNqz9ORu2YzxyLlyjGdd/58CnYLFsiinTvYs4ff7+XLFO48IYiuWwd88gn7CsDI1K5duegG0K5k7162bdw4RpJ7a3Xq5GQuQK5dy2fSzQli+/erYwNAtY2oVk0VS6tU4YKAkfTqRVF02jQuTBQtamx7BEEQBMGbKVCiqNVqxdWrV3Ht2jUEBgbCYrFg8ODBCAoKwvjx4/HFF1/gtddeg93Hq25s3w488ABXuTt0UCdGenPlCis3//UXJ4sKhQtTCK1fn5NPgIPiefPU98THcyBpJFlZwJYtFDk3bLi9eKREChYvzoiA48f5+548ye333/m+ChVUkbRePfV39zT9+1MUVaJFy5Qxph2+jqeKLCUmUhTZuJHX482psrGxQOXKnGiVLp1T1LDbc99sNh4nK0t9zW0/IYFRRWfPcgK4fj0n0S1aUHxs1cq9UTDHj7P//fNPzslnbCzvH7Gx/Dvs2sX/X7qUW1QUU0NbtqTYU7KkduHaZGIafWIiBdmuXfk91Kypz+9YUMjIYKT6jz/yO33wQfeeb/NmRh9mz0goV47XtmInkd1yQk8iItTITUVgjY9nZPPp09x+/12t1N64MXDHHbymjh/n9bVoEd+vULQonx/16+cUsWw2RpImJ+fclN8xKYl9IzmZffrcOW4HDqjP/jFjKPAGB/M7qlCBz99KlSjieEK87tyZ/XnUKD6fmjZl32/e3P3nLijs28f7dmIinxcTJtxelHcVu52p2bNnAytW8N+io3n/zBZTAID94O67KegfOUJ/2QED3NMuZ7Faufi4dSuF0G3bci7KBQerYmdMDHDhQs5FktRU9fdavJifMZkYNd66Na9zT/i43kzDhmzzwYPAl18CI0d6vg2CIAiC4CsUKFE0JiYG+/btw7lz51C+fHmkp6cjODgYTz/9NM6ePYuxY8eib9++KF26tNFNdYnnn+dArUEDYNgw90S5XbnC8yiTusBApg82aMDoj+wRNwCjuh5+WP157Fh6+Hk61S8zk5PpFSsogGRPRw4KypmKqLxGRt76+1y7Bhw7pkaWnjunRpfOn8/3ZBdJ69f3XHqycr7t2/k9f/GFZ87rbyjRIO6MZlqxgiml2Wq/ITKSImjlyhQt8gpSzx7lppVWrVRxdNcu7q9ezS0qCujShZ7AeovrK1bQy1MRgSMiuJhQv35Ou4IyZbi4c/Ik27d7N/vtH39wA9jOl1/W7plssVCsefllRjPdfTePXbu2a79jQcFuBwYNYupsQAAXY+rWdc+5Tp1iBPzatfzZZOI107JlTksTm41Rllev3rqlpeVse277AJ9PhQqpAqgigt4uyi09nc+Fw4cpkiQkUKjat48CbkBAzsW3gAA+Nxs2zP25qbQhIiL/aD+bjb9bUhK37BGtJUtSqE1Pp0hy8GDOzxYrxki3unW5oKq3TYVCnToUaEaM4PfTujUtdR55xD3nK2j068exSOXKFESVSE29OX6ci2e7dvFnk4mif7t2t19ECw/nc2TePAqp997reQsiJdJa6Z9HjnDMlpmZ833Fiqnp8WXL5lyILF6cFkrA7e00rl5Vsz0ALgYoY8GGDT0TtWkyMVr03Xc51hZRVBAEQRBuj8nu62GRTtKmTRskJiZi8+bNCAoKwrVr1xASEoLMzExUqlQJY8aMwRNPPKHb+ZKSkhAdHY0rV64gyl0j1JsoVYoD48mTOajTm4wMige7dnGi1qkTI2DyS4cymbJQs+YvAIDHHuuBESMC0Lq1/u3Lrb0bN6pCaPbJYlgYJ2qNG3Owq1VgSk3l4ProUU6KL1y49T2VK3NA3LAhxR93prRt28boN4uFE2Cjo3Jvh6P9w4h+1KEDU6lffx246y59j52czHTDpUv5c4kSFHaqVHHtOnQVux04f559e8eOnIsGDz/MyDNXBRO7nQLR9On8uUIFClqVKzu2SGKzsa/t2kWB7OJFCqvBwVmYOZP3l+LFe8Bkcn7N78oV4Kmn1P7buTOLhnTt6l1ejTdjdD/64gvguef4Hb37rnv8q9PSKKbMnctrwGRiFFbLlt7jh3szSUmqCLNvHwXRwEBGfNepw81dAmT25+3evT1gtQYgMZH9+8IFvp47d2sUbePG/BuGhLinXQCfl+++qwrbI0YwmtXoPmZ0P3KF/fu5KGSxcHHCHcKb1cr+9/XX7INmM59Zd97peDTk9Olc4Bo82L3R5ElJvL4U8fPwYYqiuREURPGzShWOmV2NnL54kXYB+/fzGXXzLKt8eY4DmzWjmOyu531amurrfPGi5yyefLkfGU1Kijo3SE7mYkLu70tBxPU3JicnI/x2b9S9fbc/r6NtFxxD+ocgeJYCEylqt9thMpnw0UcfYcCAAWjRogX++++/Gzf05ORkFCpUCIULFza4pa5htaoTencMim02Rh/u2sXJXb9+2ovQfPcdo9TcNSDcuxf46ScOjLNHBkVEUMStVYuphHpMxMLCeDwlgkARSZXtwgUOyg8fZptMJg6+mzQBevfWXyBt0IDH3rQJePtt3ytw5Q3Ex/NV79S3zZuB8eN5TZhM7ANt23pHlW6TiVFlJUtyonvoEBcUDh1ihM+6dYw+r1NH2/GPHWOk2Pr1/Ll5cwqPzvRBs5kRtJUq8WerleJy9jTq7INzZ4iOZgTUtGmMlF2yhFuVKoyMf/xx90Vf+SqrVlE4Bigo6y2I2u1cnPjqK1XAq1yZEczFiul7Lr2JilJ9njMzKdQYVQzJbFY9VbNbQ2Rk0D7j5Eng3395f3rtNUawu8tKPSyMUeLTplFke+89LsLMni39Sys//MDXJk3cM/Y7dIgV7JUo4ypVWKjO2QWJ2rV5rS1f7j5RdO1a3sdzE0GLFuXzrUQJ9VmX3WNYD4oW5XO9VStGZx8/rmYVnTnD5+CxY7SfatuW/c0dHqShofz9zp3jeFi8sgVBEAQhdwqMKGq6PuJp3LgxJk2ahBdffBG1atXChAkTEB4ejjVr1uD8+fM3Ks77KpcuqYWB3BE9M3kyIy7NZqBPH+2CqMXCVfTNmzmI15OMDFY5/f57dYU+KkoVQm+XpqgnN4ukyck5RdKLF1XD/qVLgTfeYPSongwYQFF01iwOusUj0XGsVtUaQi9R9No1YMoU1V6hSBGmqnqr56vZTOG+WjX6E/7xB7+T5593Pmr00iUK83/8wT6peMzp0fctFkbyZnc9GToUeOstbd9t+fIUbM6c4aR14UIKAi+8wLTwgQMZ5eQrFZTdyenTvBasVqbO9uql7/HT0hhRuGYNfy5cmH/ratWMi6bWSmCgdxY7CQri4mC5cnw2zppFgXLYMBbFcVdGg8VCy4UKFYCPPqIH6x13sM+5I8PF3/nxR762a6fvcTMyKFbPns17d1AQ79316mnrg7Vq0Yd+1y4uDOqZQp+WRmuNhQv5c9GiXEBRxE/FF96TZPckVdoYH8/o1S1bOJ4+fpzPHHc4d5UrJ6KoLxEYyLGLsu9L+HLbBUEQ/F4UtdlsMGcLyzCbzWjTpg0WLlyI119/HcOHDwcAREVFYfHixahQoYJBLdWH8+f5GhWlX3VmhV9+UQfe99/vWkp2w4aMxJozR19R9NAhRrgoFXrr1GE0WunSxk6iIyLUdEmAEUNHj3JAfO4c8OKLQN++LJKkV8RgzZocBK9ezYGK8rcT8ufMGUZ2KdWcXWXfPkZYK0Jrkya0nfD0BE0r1aoB//d/nMxu3+541GhaGt87a5bqpVi9OtCxo/5Rftk9LE+coGj7zjtMUdRCTAx/58cfZ7ToL79w8vrpp9zuvht46SXaLBRE0tOBhx5ilGHFirwW9LzHXrzIxaIDByjQt23LVHm9n2uCStmyfAbNnEnv3ldfZXSgu4r1ABS5y5UD3nyTwk2jRrxndO3qvnP6G7t3cwsMZHSiXuzdy7+/kjVRowZwzz2uCeVRUbzOTpzg+Oehh3RpKnbupIh/+jR/VooFetv9IjSUY7OaNSks//gjx4IDBrj2vLod5csz22PPHn2PK7iHoCBg9GijW6ENX267IAiCF7ukOc+xY8cwefJkfPjhh/jxugJkNptzVJO32WwwmUyIjY3FzJkzsWTJEqxatQpLly5Fw4YNjWq6biiiqN4uAKtWAZ99xv327V0votG8OSe6W7dyMO8qVisjGQYNoiAaEgL07Mn0rDJlvC+qKCqKHpKDBvHVbqdwNGSIOqjXgwED+LvPm5czvVjIG2USWKKEayJ1VhYjJJ99lpPAiAjg0Uc5sfQVQVQhNJSLIX36UCRRoka//DJnoSiA/XHhQlYjnzGD30NsLAXG3r3dn/ZcujQjnF5/nWmlrjhnh4YC993Hv+OHH3KybTKxenjHjrzvFEReeIFpqhERnMzrmf559Cg9Sg8cYKTVE08Abdp4n8Dhj5Quze87OJiLOS+9RK9dd1KzJrNQatem9cU991DgKliO99pRUuebNtUnsjc9nXYVzz3HZ2FYGMXLnj31Ob6SQaNUrXeFzExg6lTej06fZoZU//60ZfH2+0XZssDTT3OMmpHBjJ7vvtP3ui9fnq979+p3TEEQBEHwN/xGFN25cyfi4uLw008/4ZtvvsErr7yCd955B4CaOg/gRtRo2nWTyUqVKqFUqVIo4ikHcjejiKKFCul3zD171NW/xo31iUSIilLTxefMce1Yx48znXX6dFoH1KjBn30hXTw4mELTgw8yymPPHjUyTY+BcaVKFLEBqT7qDHr4iZ46xevw22/5t6xdm+JolSq6NNEwlKjR+vX5848/0ktSWdzYsIETvQkT6AFZqBCv74ED1Qmau3nkEUaj2+2c3I8de6tw6ywmEyN8x47lAkbHjvz3Z59ltGRBYvp0ilgmE4vk6Jn2uWULF4vOnaPFhCIaCJ6jVCkuqIWEMPti6FBaYLiTIkWAiRPpU2m306qiT5+chRGFW7HbVVFUj9T5PXt4r1YWk+rWpThau7Z+i8uKKKqk0Gvl6FHef+fMYVvr1weeeYaWDL5CZCRF3EaN+PO0afSBz+6D7woiivoWNpsa+a1YofkKvtx2QRAEvxBF4+Pjcd9996Fv377466+/8M8//+D555/H0qVLce7cuVve//LLL2PUqFFI8cPRtt6i6KlTjBSxWumJdPfd+g2MFXF1zRo13d0ZbDYWLRowgBEtgYH0aOzZ0/eqHtapw8F9uXKMfHj/fXrpJSe7fuwnnmBU7qJFqjefkDeKKFqypLbPZ2Yy9Xf/fkaE9ujBSBt3FFMwguxRoxERatTo008z2uXIEf7enTpxQl2njmejtQMCgHvvZQquyUTf3iFDXJuAZ6d0af6eVasCV69S/C4obNhAURzgveWOO/Q79l9/MWU7M5P3wief9FzFZCEnJUrw+4+IoPg0dOitler1JjAQePllnkupoh4Xp96PhVvZsYMR1YGBtJdwhb//5n385EmKdX368Nmld8EtJYUe0BYtarMx+2XgQIr2wcEc991/P4V8X0N5XnXrxrHaihV8bp465fqxy5Xj67FjssDgC6SlqVZbegnjnsKX2y4IguDzoqjVasXcuXNRs2ZNjBgxAmazGaVKlUJcXBy2bt2KxFzKT5YpUwYzZsxAamqqAS12L4oGrMdE8soVTvzT0+mv99BD+lbNLVqU0QeA89GiZ89SrP38cwq2lStTmNBq/u8NFCrEiIE77+TvsGwZB/07d7p23NKlVX+2ESMkJdERXI0UnTePEczh4ZzcuGo34a1Uq0YxX7GAOHiQ94g77qBPrpEekCYT/dkee4yT5gMHuK+XwBIQQB9NiwX4+Wdu/s65cxRJMjMpVj36qD7HtdsZUT1uHAWP2rWBfv3cV/1ccIxixSh8R0Xxfvbii+rCqzvp3p1Ro4UL08O4fn3g33/df15fRIkSveMO7YvBdjvtQcaOVbNtnn3WvQWvtKbQnz4NvPIK8MUXbGvVqr6TGZQfjRszU0hZiBgwAFi/3rVjRkerQRL79rnaQsGTpKSk5LkJgiAI+uHzoqjFYkGNGjXQpUsXRF6vBmCz2VCnTh0ULlw4V+Fz6NChOHz4MIrrWfbSS9ArUjQ9nQLaqVMcVD3yiHs8EJVqmMuWObYqbrWySm2/fpwsBQTQf+zRRzlx83XMZnrnDRjAv+G5c/TKmjGDv7tW+vVjJMny5cA//+jVWv/l2DG+ahFFz57l3wtgpKQ/XJd5oUSNPvIIRdDBg1k8xVuiYitUYEplyZLAtWu8r+nlkVilCqOpAIrf7k4xNpLMTEZjnTrFKK/hw/VZJMvMpBj6zTf8OS6Odgve7gdYUChShMJooUL82yveje6mbl1aX1SrxsKEHTuqvuYCOX2aRd8A1SbHWTIymJXy7bf8uWVL9nN3R1w6k0JvtwOHD9PTuW9f+qMHBDCyUslW8Bdu9hl9/XX6VruymC0p9L5D9hoYJUuWQERERK5bSa1pTIIgCEKu+LwoCgDt27fH888/D4APFLPZjMjISAQFBeHatWs33vf333/f2C+kp+mmF6F427n66/34I31hgoIoOLpr0BkTQ2HBbs870spuB/77j5GTH3/Mwi3lyjGaoUkT340OvR1lylDIqVePv/vMmfTw00rJkkzPAhiBI+SNIopqGXfOm8frs3x51Te3IFC1KkVgvYu86UGhQowSLVSIQsJbb/FvpAf9+vFvfe4co9f9lZ9/5j04LIwiih4WJVevMhthyRLew7t1o/jlb/dzX6dQIUawFSnCMcbjj9MaxN2UKEHRr1MnRgUOGeJ65oS/YLPR3iAlhZGdrVtrO86nn3JR2mTiGKFTJ8/0v+wp9O+/T+E7OxkZrJr+6acUPgcOpAWQ3c7MoP/7P0ZW+uO94maf0enTaVuiFSWF3hN9VnANZzMY4+LiEGZQSkVe0avKz3ZJTRMEwUfwC1E0KlsolslkgtVqRVJSElJSUhBwPdxk1KhRuOuuu3Dq1Cm/vkkfOMBXVwtfLF/O1y5dAHcH1DZvztdly24VKux2YN06Ft546y2mvgYFMRKtf3/vFGD0IjiYHqmKmDlvHit6a0UpwiDRAvlz8SJftVxfSsSzL1s5+CNhYZxcBwYyylyvqLOgIPpgmkyMtlq6VJ/jehtKNFfTpuok2xXOnGF0rRL11acPRQ7BO4mOphgaE8Po3rff1sfzOj+CgxmVrBSoE39RMm4csHgx7z+KjYezbNigjin69FFFOE/Rvj37/tatXODevZu+wqNHc+wzbBgwfz4XnCwWoHp1ZtH07ev/XsOKz2iDBvx53Trtx1KmSFevutwswYMcOXIUycnJeW4rV67MUUzYk5QsWfKm6NUS2f6PUa6tW7f26zm3IAj+gy4Jal26dEH9+vVRr1491KtXDzVr1rwhRnqCrKysW85nu176LjIyEuPHj8fEiROxceNGlNazTK6XkZFB03nAtUnrqVMslGIyMQLB3VSqxKijK1cYGdCiBf9961aukCtVrQMCmNrVooVvmulrpVEjRlGsWMEo2TJl1MrfzhATw9fjxyk+S3pq7tjtwOXL3NcSIa3YGPtTSp+/UKIEU7PnzgUWLOC95777XD9u7dq0EJg/nws4O3f6nx+mIrroUVXWZuMi14kTnLD36aPdv1fwHJGRjIyeMoWi9gcfUBx195zcZFL7U0aGe8/lC6xYAYwaxf0XXgAqVnT+GFevMh0d4MJ01ar6tc9RKlRgtOvcuRx33lywLiKC7apenffqwEDPt9FoqlcHtm3jeFgryveWLXFO8AHCw8MR7mVVY8PCwhAXF4fVq1c79P7Vq1cjNTXV634PQRCEm9ElUrR9+/bYt28fdu7ciTfeeAPR0dFo164dpk+frsfh88RqtSIgIADx8fH49ropksViQXR0NGJiYjBo0CC89dZbWL58ORr7eRjKwYP0nQwLY4EEraxcydcKFTzjC2g2s1ohwCirPXtYgfallyiIWiwUQocOZRGigiSIKrRtSw8um43ppmfOOH+MIkU4OLZaKUYIuZOcrAo/WsZxiq+kjAG9k+rVgQ4duP/JJ65NNrMzcCCj6o8cYaSTv6GnKPrPP3xeBQZSFBFB1HcIDVWLLq5c6bkCY4qnuR/Wx3SKc+eA3r3ZDzt3VosoOstnnwEJCRwXKPdDIyhVCnjqKdX3smRJWgEMHMgxYPfuvGcXREEUUL+XY8fUDBZnUfpOero+bRIKLiaTCStXrsw1avXcObUK35EjRw1spSAIgvPoIop+//33+O233zBu3Dj8/vvvWLhwIRo3boz9+/djlLKc7QaysrJgsVgQHx+P6tWrY9myZTf+LzExEfv378e6deuwYcMGNGnSxG3t8BaUtOhy5bRHbtjtgGK96okoUQXFe/Hff5lSuWULJ11NmzISonNn/4u8cgaTiZFoMTEc2L7xBr3EnMFsVsWHozJeuS1KlGhAAFM3ncFmcy3KVPAMcXEs5GK3MzVXj8IxYWFcuAGAjz7iPcyf0EsUzchgBgBA8cPfC5H5I6VL08IGYBXwPXvcf05lMbQgF122WunxfvYsxbIXX9Q21lu1iuM8ZVyhRXCMj6cXsB6Ru+HhtEMaNoxe6u3b8xoT+xkuQihZPloX8CRS1Hfg3+pDAB967UKAyWS6EcWafStUKByvvAK88gpQqJBEBQiC4FvoIoqGhobi4MGDN35u164dli1bhvHjx2OhKyaIeaCkzMfHx6NRo0bo27fvjchUu92O6OhojBs3Drt27UK9AlLtRBFFlZVlLWzcyEingACKBp4iJobRrXY7B8INGwLPPw/cfTdT9gQOlnr3ptgWH89iJ85WpFcG10eO6N48vyG7qOnspOzqVdUXVyJFvRelqEhsLBcZRozQJwKtRQtGs9tsjHTSq5iTN6CXKPrrr4x2i4wE7rjD5WYJBtG0KbMX7HZgzJhbC+XojZK1UpBF0XfeYZR1SAij0bVk8ly5QhsegHZESrEjZzh6lP7Ja9ey+JoemEyeyUzyRRR7BK2iqESK+g78Ww0DMOzG381XCAqiJceHH8Ln2i4IgqCLKPrFF1+gZ8+eeO655zB16lQMGzYMgYGBMJlMyMzM1OMUObhZEO3evTsmT558w1fUZDIhICAAzzzzDKpVq6b7+b0VPUTROXP42qSJPgPUy5dZyf6TT4Dz52//PpMJ6NEDaNOGkaLdu7PirZCTqCgKoxYLjfenTnXu84ooKpGit0cPP9GQEO/3bLVa3S9keDOBgUCvXuoiw3vv6ZMaPngwBb+tW4GJE10/nregiKLOLsRk5+pVNUr0zjsLbkqsP6AsLBQpQpF73Dh9+s/tUCJFPVHcyRtZupTiM8CI9AoVtB1n4kQ+p4oXV4svOsOpU8DMmerPq1cX7OeIJ9BLFJVIUUEQBEHIHV1E0QYNGmDjxo1o164djh8/jpiYGCxcuBCpqal46KGH9DjFDbJ7iCqC6LRp03It7OTJYk/eQPb0eS3s2cOqzGazWuxIK1YrU7Q++YTtunyZqVZ5ERPDiXLRoq6d298pXZopbwDwww+sQOsoEimaP66IooqfqDenzlutwObN9JSbOJHXUF4LFv6MsshgNgNr1gBff+36MYsUAf7v/7g/ciRw+LDrx/QG9IgU/e47ptsWL66tWJzgXYSEAA8/zP6zdi3vJe6iIEeKnj7N79luZ/ZM587ajrNsGYs0KWnzzg6RL1wApk279d9XrNDWHsExFEusM2e0+cmLKOo78PlaHkB5ty4yuQObjQvM8fHuXSATBEFwB7qIogAFyIcffhjvvPMOhg4diuLFiyMsLAxvvfWWXqcAwCJKx44dQ+3atXH//fdj+vTpBU78zA2rFdi3j/taIwjmzuVrvXqu+bzFxwNffcU0r+xIcR/9qFOHUbUAU1V27nTsc+Ipmj9XrvDV3yrPW62MNJk0CfjjD/X33LcP+PJL4JdfVFG3IFG6tFqB/rvvbr1vaaFLF1qAZGSwGr3d7voxjcZVUfTsWWDePO536kQhTfB9SpWiUAcwc8HRZ5GzFNRI0awsoE8fLtZVqgQMGaLtOJcuAR98wP3WrWkd4gyJicCsWbn/35Yt2osACfkTFASUKcN9LdGikj7vO6SlAUA8gPjr+75DWhqjmitWhM+1XRAEweFpybhx43D5egjVxo0b0aFDB9SrVw89evTAmDFjsGDBAhw/ftxd7byB1WrFmDFj0KdPH0yZMgUWZaZWwDl2jKvAgYHaKvkeP65WnW/ZUlsbUlOB+fPpNZWQoO0Y3obdzt9lxw56Zy1dCuzezTRQo2nXTq1I/+qrFB3yQyJF80eJFPWXyvM2G7BtG/D558CCBervdzM7dzJ69PfffSsdMi2N9y9XhMd69dT73vvvA/v3u9Ymkwl4+WVORv/5h/dEX8dVUfTrr/nZChWAKlV0a5bgBTRqpBYuGzPm9vcYVyiokaJvvcWxR2gofUSdLf6nMHEiRbFSpdQFVUdJTqYgmte4599/tbXLSDIz+ezYvZu2AKmp3ruA5UoKvUSKCoIgCELeOBxiOXbsWPTs2ROFChVCv379UK5cOTz99NM4evQoVqxYgU8++QSJiYkoXLgwLrpxydhisWDChAmIjo6GWUJNbqBM4suUUSevzvDHH3ytXp2pjVpYuNAzVWjdic1GcfHYMQ6Wjx+/fQGWwoWZ1lS2LF+LFfNstVQlBS4xkSlVH33EqNG8UKJDLlzgBEeKWN2KMvHT0o8UMSAsTLfmuMSJE8CffzqXcrdlC7c2bSgUap2Ee4oFCxjt2qwZFwm00qED+8XBgyxo8s03rvnCli4NPP44MGUKi8Z16sR/81Vc8RS9cIHVrgGgY0fvryqdnMzr4MoVCrhSCTtvTCagWzemeScksO+8+KK+51DuqQcPqgUZ/Z2dO4GxY7n/yivaiiIB9P1ctUodMzjzbLPbgZ9+UrMgbsfu3cBdd3nvmMJq5X3o1Clup0/TC/dmgoNpgVK4MLfs+1FRxkW4V6hAcXzHDuc/q/y9JVJUEARBEHLH4SmfPdvy6YkTJ7Bw4UJUrlw5x3uOHTuGbdu26da421G4cGG3n8PXUAZ3xYpp+/yhQ3ytUUPb561WTlZ8kaQkRtIdP04RKSPDsc8lJnLbvp0/h4ZSHC1XjsWuYmPdP3ELDKTX2GefAZs2MS1eiSjIjYgIIDqak/1Dh5jiK+SkSRO+btrESBJnisEoafNGTz6uXmVUs5YJlMJ//9F79M47eZ144xqUzaZGPSv9UCtmM4u9ffYZJ83ffMMK8q7Qsyf99vbvZzS3UsjOF3Hl7797N19jYrxTGLbbuRh24ACfY6dOqf+3YgWL/tWpw61EiYIhyDlLUBBFsTlz6M/7wgv6fk/NmvFevHYto9m7d9fv2N6KssjZujXQvr22Y6Sn0zIF4CJXyZLOfX7jRi4SO0JWlnPHdicZGbzvKgLomTOOtS89/fbenUFBvAc0bsx7mSfvA4rXfkICn3vO3I8VQVvr/EAQBEEQ/B1NcTAtWrTAqVOnbhFFy5cvj/KulD4XNKME52r1AlUGvVqjRE+fpoDka5w+7XwF99uRlsZBuBK1W6IE0LQpU3OV9CV3ULgwxey9e2lf8NJLeb+/XDlGoMyfL6JobrRvzwnPmTPA+vVAq1aOf1bpP0aln1utwLp1FET1ICWFUeTr1vFaqV2borq3cO5c7osYGRnaKpuHhNAP9Jdf6C9asSIjSLVisbA/PvMM8P33fHU2ddXb0JJeqvhde5MgmplJQV0RQvNKDb58mZF2q1ZRWFAEUqOKAtrtfM6cOUOBxhUPcD2pWJHR1RcusMCYnjYJpUpxAXDOHFpT3HWX90exu8KJE+oiyiOPaD/O999T8I+Kcv7ek5jITANH0XLPdQdJSUz319vGKSNDzaQoVYp9r25dz1yHSqS0zcZIdmf6vBI0IdMzQRAEQcgdh9ca33jjDRQpUgQAMHToUIwZMwaXCmJVDi/FFVE0OVn1QtS6khwf79z7vaEy4eHD+gmiuXH+PC0F3n+fFeLdWYigeXO+LlqUvyCnVK4fO5YRskJOLBZ1ErpkiXOfNVIUPXAA+OIL/QTR7CQkMP35f/+jN+T69d7hq3u74m3ffafde7Bu3Zz+ooqgp5Vq1ZhaDDCN3puiqZzBlaiovXv5arQoqoiJc+bw/jd3LgUOZ67lhARg+XJG302ZwqhIpWiZu7HZgF27WMjwhx8YzT1xIquKO5rh4E4CAlgMCOBCit48+ijTmQ8dAj79VP/jexMTJnCRq0ED7Rk8p0+rxZE6d3ZucdZuZ0SuM3hDzdPERGDGDPf72p89y/HduHHAb78BJ0+61480IEAVX5317BVRVBAEQRDyxmFRdPjw4ShUqBAA4N5778W///6LatWq4cknn8S0adOwefNmZHjDqLyAoghuWqK4lCjRyEjtK97OiqJGVyrdsQOYPdtz51u/npPo2bM5KddbFC5XjmlxVivw1195v/fOO5mOZ7XS89AXI3zdTb9+fF23zjnBJLso6qmCDQkJFAG//94z1eNPnKDI//HHTDHftMm44ie3q+139iwnxlrFqg4dgKpV2UdGjXJ9gv3kk7y/7tgBTJ7s2rGMxtnr2mqlYA8YK4qePs2CV3Pn6mf1cuaMuliwcOHt/addxWrlAtYXXwA//8wFt+ysXL4uwYEAAQAASURBVEmRcPNm4xccq1blqztE0bAw4KmnuD96dO6ekP7A0qW08QBYeV4rn3/O66FiRef9lrdsoR2PMxgdKZqQwPu+Owp95cW2bcD06by3b9jgvoJGSrSos881EUUFQRAEIW80uYQdOnQIP/30EwYPHoxLly5h7NixaNq0KSIjI1GvXj292yg4gCuRooqgqTV1Pivr9uLE7XCkUrq7WLOGqeNGcPgwJ+WffspUTL0m0SaT6oW5cGHewoXJxCIYUVH0YVQKOQgq9eszYjAz07mqukqkdVaW+yu9XrvGSNbPP1c9gT3NsWO83iZMYETS9u2eE4Pt9rzvOxcvcqJ64YLzxzabgQcf5D0xIYHCqCs+sdHRwIAB3H/9dW1tMhqtkaLHjvFaDQoyJt388mXaIUyd6rg3ohY2baIH5Pr12opR5UZWFo87aRKj0fJaTFSsLiZPNu5+AKii6O7d7omg7dyZBSFTU4GRI/U/vtGcPQv07cv72z330EtVC2vXcqxjMgFduzrXf69cUYtvOorJpK04oV6cPctnoZEZDOfO0W5g/HhGdOtNeDhfJVLUf2G09ecAPveKyGtnCAgAnn2Wm6+1XRAEQZMoWqlSJTzwwAMYPXo05s+fjyNHjuDy5ctYunQpBg0apHcbBQdwRRRVhAWtqfOnTjmfEmqEKGq3M4pSqYJsJFeuAP/8w0n05s36CEl16nAgcuyYWtjkdhQpwkIYACttu1qkxh9RokWduV6CgliUBXBfCr3dDmzdSqFk7Vr3nEMLR44Av/7qnIjsCleu5D8BvnqV0XUnTzp//OBgoHdvvu7bR+HXlX56771A5cq0KxkxQvtxjEIRVZz9DpTU+dhYzxbrunaNEXeffEIPZU+xeDHT2w8f1n6MzEyKq59+ykUHZ0SQ8+cZOT53rvbzu0J0tFrMZ8MG/Y9vNgPPPcf96dN5L/QXrFZaBJw7x+jOwYO1HScjQy2udMcdzi14a0mbB4yNEj150vsi8H/+mc9CPRcJlUhRZ+4HdruIor4Es/UGAxjsc57JwcFcmPj8c//2exYEwT/RbYoSFRWF1q1b4zlltCp4FD3S57VGijqbOg94XhS1Whkt5I6UPlf54w+KSa66T4SEUBgFOJHOD0mjz5tHHqEQtGsXU28dxZ2+oidOANOmAQsWGJeynh8rVwJ79rj/PLfzE82N6dO1iVRFigC9evE6WLqUFgVasViAIUO4P20aIwALAoona2ysZ85ntVKM++wzYPVqz5zzZhISaJXy/feOW8UkJ3Mx688/KeQuXuxa1Fv21GdP3yvcmUIPMIq/fXsKPi+84LnodHfz/vv0hw0JAd56i69a+OEHPrMiIoC2bZ377LZt2u6VRomi8fG8v3sj//0H/Pijfn6/WtLnk5LUrJWyZfVphyAIgiD4Gx6M2xDciSuRoq6Kos76TgGMZvHURCY9nYU13JHOpBc7dlAocTWtVqkmv3Rp/hPh7Gn027ZxQiaolC6tVh53JlrUHaKo1coiWl9/7ZxAaxTz5rnf789Zy47Zs/OPoM6NihWZfgowBXvNGuePoVCvHq8pu51Fl4z2f3QGrenznqo8b7fzXF9+SWHRXf6eznDgACP2lizJaadht9P/d+tWpsV/9hnw0UfATz9R0NVbxPz0U+cWEVxFEUU3bNDPSuBmBg1iNNLKlfzefJ0VKyiEAhR6tUb1nT1L71yAVgPORGxlZDCDRQtGpMsePKj+rt7Kvn18buvhc6olfV4JQChVSrvILngOzouKASjmc4s9djvnMBcu+M9ClSAIBQcRRf0Au127KHrtmjpo0pI+n5mpzactI8MzRWGSk1kM5sgR95/LVS5cYKqvK6meZcvy75iV5djkJnsa/ZgxkkZ/M9lT6B0d5Cn9SC9RNCUFmDkT2LhRn+N5ih9+ANLS3Hd8LSLPTz9pu181bap69r71lraFIIVnngFCQxlFp1SG9lfS09WoM3eKolYr01V/+MH4In65sXYtxdF//+U1+PHHFEIXLOCClCeehT/84D5Lj5spU4bXeHIyfz93UKIE7S0A4JVX3HuvcTcXLjAzwWajkNmli/ZjffEF+0P58mrmiKO4Ish7OlJ0zx4udvsC584x+tvVhQkt6fOSOu9bcDHvAoALXrGw5wypqbwvlyjhHYuSgiAIzuCyKJqYmIgffvgBH3/8MT7++GPMnTsXiYmJerRNcJALF9QiIM6mzytee6Gh6iq0M7gSteaJFPolS4wt6qSFX37R/r2aTECjRtx3NOIjexr9qFHazuuv9OjB6IpTpxwX1kuU4OupU/q04d9/nY+K9AYSExmx5w5sNu2RqCtWaPtcly5AhQpccHjrLe2FtIoVU8X2559XPTe9HS2eoseO8f3BwdqyGBxl7VptUcCeJCWF6bS7d1MsNOL87uqPN2M2q9XOp01zX0R0796MzD9+nBHCvkhmJn+P06eBcuWYvaGVrVsZOWsyAXff7Vx0d0aGa3YTQUHaP+ssZ84wG8HX+PFH1yLoFE9mZ+4fyvhXRFFBEARBuD0uiaLTp09HixYtsH79ethsNthsNqxfvx4tW7bEdG81+fFDfviBr1WrUtx0BkUU1VpkyZV0b1eqOTuKO6sNuxNXogKVwa+jxWVMJqBnT+67K6rHV4mIoH8dwImYI7Ruze/08GGmz7qKp6K73MHOnfqJw9kxm4GYGG2fPXrU8b9ldiwW4OGHgchIRvxMmaLt/ADw0EMUja5eZWq+LyzcKJN5Z4SWmBi+Pz1dn/TR3LDbgS1b3HNsf2PfPi5WeIK2bRk9uG+f+8TYkBB1gWHSJPel6ruTF17I6SPq7BhOwWZTiw01aaIuzjnKjh3aF3oAoEoV7Z91hqwsYP58z5xLb5KTtY97bTYW5QSA+vUd/5wSqa8sUgiCIAiCcCsuiaIffPABNm/ejI8//hivvPIKXnnlFUycOBEbN27E+PHj9WqjkAfnz6tekHfd5fznFcGiSBFt53clVdHZivXOkprqu4LStm3aJyhK9fNLlxw3+FcM+E+c8N4CPkahFIhx9FovV04Vmf/8UwpYLVniHn+pVq20f1arL2hYGNC9O/fnz1cnqc4SGAi89x5Tyo8dA+65x7WiOp5AifZzRhSNjAQaNOC+4i2qN/HxnhP6/AF3VITPjchIFkMCaBXgTHEYZ+jUiec6etSxAoPexOefM8LVZAJGjgQqVdJ+rBUrgP376e3pbHElux1Yv177uUNDgRYttH/eGVascN173Ui02jzs3csCbkFB6jPIEQ4d4qviNy8IgiAIwq24JIqaTCZczWUmd/XqVZi0VmUQHMZmA/r2ZdRT+fJMl3IWRRQtXFhbG1zxQnO3KKolGsyb0OrvGRqqprI5mmIcHa1aL+gR3ehPOCuKAkD//kzrvHzZdZ9WX7+VHj/Oybre1KgBFC2q7bO7dmkX0qpUUf1FP/hAu5hZqBAwfjxft2yhkO7NAroibJudHDW0bMlXd91XJErUOdat068adn40a8aIxfR091UIDwnhogLAglK+wt9/A0OGcP+pp4C4OO3HysqiTQHAxSJnrZCOHKHgppVWrTxTxCctDVi1yv3ncSdavBbtdtoiAPSedfTvm5HBRSNARFFBEARByAuXRNEJEyagbdu2ePDBBzFkyBAMGTIEPXr0QLt27fDRRx/p1UbhNowdy4G1K2lX/hwp6gspqXmxebO2CDuTSRU4nfkOlGhRdwhYvowWUTQ0lCnSgOuWBL4uigK8T+md2mo2uyYkrF2r/bOdOnEh6fx5+vBqFZlKl+Z9PDgYWLyYRZi8tSK91nYpf6Njx/QvhpOaSoFbcA5PFdQzm9XF2t9/d1+08H338Vz//OP93rIAFwh69FALKykFo7Ty++/0JA0P1xax6UqUaGQkC9F5Al8rNpgbWu6BBw5wgTswEHjgAcc/d/Qor7GiRVn8TBAEQRCE3HFJFO3WrRv27NmDV155BW3btkXbtm3x6quvYs+ePejWrZtebfQoGZ4KoXCRf/+lEArQk6piRW3HcUUUtdlcS1t0d1SUr4uiFy5oL7CjpNA7U4xGEUXdNXH1VRTvSmcXADp1oqB56pRr6X7+IIpeugRs2qT/cevV017AZ+NG7RVSg4IY2RkYSIFp3DjtomHNmsCbb1LU+fprRqEuXartWO5Ea6RoTAzTgu12/aNFd+7U93gFhQ0b3GNpkRvly7OfAsD//uce389SpVTx/bPP9D++niQmAvfeS3/J2rWBl1927R6fmgrMmsX9tm2dL3h08SJw8KD28yvese4mK8tz1g/uxNlnTvYo0Ycecu55p/xdGzb0j3GEIAiCILgLl6vPWywWtGjRAg8++CAefPBBtGjRAhaLBetdWXo2iG3btmHEiBG45EJOeHp6OpKSknJsenPuHFNobDZWRO7SRdtx0tJUoUeLKHr5smtRTe6OFPUHnzmtnoVaIkXLleOrN0SKeqIfOYoSKepsemHhwmrq8Nat2s/vL5OZFStcK+SRGxYLcOed2j/vSuRRqVKM8DKZuEilFDnRQsuWwOuvM9Jr61YK6l26uB7Rp2c/0uIpqqAIVnreW6TAknYSEpgy7Sk6daJwtn+/+3w/e/Tg6zff6P/s16MfWa3Ad99x0ePAAdoKjBnjetX277/n71ukCNCokfOfd2WoXqaM59Kyt2/3D79zZyNFjxzhwqpS6M8Zsouigm8QEAAA3wD45vq+7xAQQOuo/v3hc20XBEFwWRS9HQ87+/Q2mO3bt6NRo0awWCwoojWXHMD777+P6OjoG1tZJfxOJ6xW4NFHKXZVqMAoUa2cPs3X0FBtqfeupM4D7hdF/WEAvXOntt9DiRT11fR5d/cjZ9CSPq+gLFjs2OGblZH1JC1NjXjRk/r1tUfKb9jgWsR6pUrA/fdz/8cfgZ9+0n6sTp0omjz4ICcUf/3Fyezjj7MAmhb07Ed6iKKHDul33z99mvYFgjY8uW4dEQF06MD9zz93T9Gl+vWBypXd41/qSj+y24Fff2X7+valyFWkCAutuTDUBACsXg3Mns39Dh0onDnDtWuuLQx17+585LgWbDbX7E68CWdFUeX3vv9+573/pciS7xEcDABPAHji+r7vEBzMRalvvoHPtV0QBMGl4UzPnj1z3R5++GGXoi09zc6dO9GyZUu8/vrrGDduHADAarUiPT39xnvsDuaaDR8+HFeuXLmxndA6m70N775L36yQEGD0aNfM7Y30EwVEFHUULZ6UrqTP799vvK+hu/uRMyii6OXLzl+zd9zBiUxKijpBcRZ/iRQFWPX98mV9j2kyAVrdWlJTXfd8rVcvp+CzYoX2Y0VHA4MHc1LRrh0FlW+/ZXGn4cOdF5P07Eda0+cBoGpVoFgxCtBHj2puQg4kStQ1Dh50/RnuDE2bAiVL0n936lT9j28yqdGikyZxQVAviwAt/chup5dy8+b0gdy9m+LwwIEUMqtUca1Nhw5xDAgw+rRmTeeP4UoGQ/v2LCboCfbv9+y16k6cSZ9PS1MjupXFN0exWtXPiigqCIIgCHnjUoD70qVLMWvWLEREROT4d7vdjv/++8+lhnmKEydOoH79+ujTpw/Gjh0LgAPg7du3w263o0GDBnj//fdhMplgt9thykehCA4ORrCblsiWLQPefpv7L71Ery5XcFUUdVX3dqcompHh3ZWcnWHzZqbXOiOOaYkUjY1lpElqKq8NA4Mz3dqPnKVoUaZ+Zmbymi9RwvHPBgQAHTsC8+ZRfKte3fnz+5MoCnBR58EH9T1mkSIUEbWwdi3QuLFrEU9xcRQsN21iSuzEiaqPohZKl6Zn9MMPMy1/xw76lk6dysJOQ4Y4dl3o2Y9ciRQ1m3kPW7CAnsVVq7rWlowMEUX1YMMGoGtXz5zLbGaV+K+/Zgr93XcDtWrpe44OHdhfjh2jl22hQkCNGhQMa9RglXTF0sQZnO1HmzcDr7wCLF/On0NC6AfZqxeFUVe5dAkYMYJjqIoVmZHgbL+02bR7dMbEaPsetbJmjefO5W6ciRQ9cIDieqVKzhdKOnmSkcBhYa7fbwXPwYWcsGz7voPdror+vtZ2QRAElyJF27Vrh8jIyBtFlpStXbt2qOfKjNCDxMbGolKlSoiPj8e6devQqlUrrFmzBtWqVUPlypXx9ddf49577wWAfAVRd/Paa3zQ3H03Uy1dRRHMtBYqcTUFzp3pxHp7FxpJYqLz6bOKp+jFi45/zwEBquB3+LBz5/NnzGaKVABTpJ2NolVEh/37nfclVc7vT+zaBVy9qv9xmzXT9rnERO0FzRRMJv6da9Tg9TF+vGvHU6hVi8Vp3nuPi2AXLwIvvghMmaLP8bXgahX6Awdcj0Q/dsy1zwtk717Pnq9sWaBBA+5//73+xw8OBp57jgt8ZjOj0tetA2bM4PgpLs799jBXrrD40PLlXEx76CFgzhzgySf1EUQBRo+fP88Fu4cfdj5tHuCYQmvUfvfu2s6phQsXKPD5C9kS0PJFKXrZurVz57h0Cfj0U+7Xr++5v5XgOhQVUwCkaC4EaRSpqbzHRURoL2IpCIJgFC5Nt3/55Re0adMm1//7+++/XTm0R8jMzITFYsHevXuRlJSEli1bolSpUvjxxx/xv//9D5MmTcLs2bOxZs0azJgxw+jm3hD6XCkskp1SpfiqNS1JEYq0Ehnp2ufzIiKCRUv8BWerlyurtCaT46Jaerp6HqXokkBee42vP//MlEVnRPeKFYEWLfg3+f1351fQK1Vy7v2+QEaG/sd0ZeKnxwKN2Qzcdx/3T5/WT/g1mRiVNX06I80A/T0THaFCBb5qFZAbNuR9OTnZdRG6aFHXPi8QI75Hxf/XWW9FR+ncmd68f/7JfvLWW/TlVcY77vA1zs7y5bRLKVmSVeGfe855L8j8UPzgW7XS5gcPaL8HN2mifpeewN/EFcWOJz+ystTFaWeicjdsoEXDli1cJBg1yvk2CoIgCEJBw89ikBxD8QoNDAy88bplyxb07t0bPXv2RMmSJW+8t2nTpoiOjsY5Z8wZ3YQSxaeXJ1/dunw9flxbqkPjxq6d35k0ZGcxm9WIFH/AWasCZcITGup4Wt2BAxyIlyypvXCNv/LMM4z2CQzkpHroUMCZAsRDhjAS9/hx533c6tbVf1JtNN4WuaJVWLiZkBA18l7vaEaLhaKo2cziKA0aUGhs2JDiiLupV4/3kkuXtFmnBAaqEU+7drnWliJF5B6lB82be/6cim2Ou91RgoK4oNSuHashK4vJrhQWcoSlS/navDmfpe5AydIJC9N+DK33YE9fM/5WoNDRcWl8PC17ihVzLP09MxP46isu4CYm8n69davn7DEEQRAEwZfR5Cn60ksv5frvJpMJISEhqFKlCu677z6Xqri7i927d2PYsGFISUlBeno6Ro4ciYYNGyI2NhazZ8/OUVwJAMxmMypUqIDy1w08HfEVdReKqb1eomi1apyopqYyWrRYMec+Hx7OCblWs353m/Q3b87qrP6AsyKEchk7I/YoQoWz/qUFhT59mP55zz1Ma3vzTeDDD9mH8qNUKeDpp4EvvmBV8WrVHE+ltFgoJi1Y4Fr7vQlvswRwpWDdzRQvTsH82DGgTh39jgtQHI+LozC/fbu+x86P8HB64u7bxyI9WsSR9u0Zwbd3LyfrrojjjRvrV7SpIFKoEO9Dnkbx+va0ZbTi5+xuUfSff/jq6qJxXigLcp4WRStXdn6c6Cr+JIpWrKj6vefHwYN8bd7csfHYxx8Dixdzf/Bgjk30fK4JgiAIgj+jaWq6detWTJ8+HVOmTMGKFSuwYsUKTJ06FdOnT8c///yDl156CVWqVMGePXv0bq9LHD58GHFxcShTpgy6du2KihUron///vjoo4+we/dumM1mhN6kIn344YeIj49H3HVDNCN9RZXIysREfY4XFKRWLNWaznjHHdrP785IUYDp+f5SddNZiwMlUtSZSZPSXT1ZQMHXaNUKWLWK3+v27ZyIOBpl3aMHIz4yMiiMOkO9eo5PpnwBd0eKNm3q3Pv1ihQFVNHAXb6Xw4cDEyYAH3ygbmPGuOdcN9OoEV+VCbuzNGzI6zg11XVBs0YN/7JI8TTNmhmzOGG0KLpjh/s8x0+douBvMrk3U8WoSFGtvs2u4Kr/sDfh6DVhtzNzB3BsjJ2QACiOZfPmAZ99JoKoIAiCIDiDpiHxfffdh44dO+L06dPYvHkzNm/ejJMnT6JTp07o06cPTp06hTZt2mDo0KF6t9cl5syZg2bNmmHy5Ml47bXXMGfOHIwePRpLlizBpEmTcOTIkRvvXblyJfr3748vv/wSv/zyC8p5gcmi3unzgFohWasoWqKENs/DiAjPDNr8ReBLTHTO4kCJFHV00mS3A7t3c99fvjN3UbcuvUXNZkZmOFowxGJhRWKTiVG5zghLFgtwG/tmn8Tdoqiz6eR6CjRKBLy7RNHQUEahNW2qbopY6W6URSatomj261i532jFYvEvixRPY9SCoZI+HxTk2fOWLElB3mp1X5S1EiVarZr2Apb5kZGhirquLOY4ew8uXNiYKub+EikaHKwGIeRHQgLH+WazYxHHCxfye2rdmoW9BEEQBEFwDk2i6Icffoh33nkHUdlGfdHR0Rg9ejQ++OADhIWF4c0338TmzZt1a6geWK1WXL16FdeuXYP1+khr8ODBeP7557F06VL8/PPPAIDExEQcP34cmZmZWL58ORp4yczLHaJodl9RrWhJo/RUClaxYowo8nWyspzzsMzuKeoIp09TeA0M9JzA4st06cJoDACYOhVYscKxz1Wrpk5aFi50rthF/fr+4y3q7gi1kBAWXHGE4GB92+NuUdRIFCHt0CHtx2jfnq9796oCmVbcmaLszzRpYlwkmRIp6unzm0zuT6H3ZOq8yeTad+isKNq0qTG2Ov4iitap45jVDqAuOjVunP8YLiuLBRwB4NlntbdPEARBEAoymqaCV65cwfnz52/59wsXLiDp+oitUKFCyHBHiWEXiImJwb59+3Du3DlYLJYb/qFPP/00+vXrh3fffRcnT55E4cKF8cADD2DatGmoo7cpnAvonT4PALVrc6CbmKi9WnLVqs5XsXW3n2h2rjsf+DzO+Io6GymqRG0ZOVn2NZ59lgWUAGDsWIo8jvDEE4xaunKFlYodxWwG2rZ1upleiScKLTVt6pjlgJ6p84C64HPunP9VTlZE0dOnWUVeC3Xr8jtKT1erK2ulcGH6HArOYUSBJQWj0ucBVRTdtEn/Y9vtapEldy4sKqnzzhRRzA1n78FGRRb7iyjqzPfnTOr86tW0VypZkhY9gm/DfjkPwDyvK0iZHxYLF/0fesj7imkKgiDkh+b0+QEDBmD+/Pk4efIkTp48ifnz5+PJJ5/E/fffDwDYsGEDqhnh4p8HgwYNQt26ddGtWzdkZGQgODgY167nIQ0fPhxRUVFYsmQJACAsLAxhrhg2uQFFSFQGxXoQHg5UqcJ9rZFNJpPzkyxPmvWXKQNcr5Pl0zjjK+qsp6ikzmvj449ZeCkjAxgxgkJYfoSGAi++yP1164AzZxw/X926zi9AeCOe8DIMCAA6dMj/fXovAoSFqV6XrkTgeyNFiqj3Uq3RomYzK4IDrqfQAxIt6ixVqni+WE52FFHU0+nzgJo14o5I0X37uFgQGKh/gbXs6FFkCXBOtDBysdQfRNHixYHYWMfee+2a+txwRBT97Te+PvWUMX1KcBy73Y6UlJQ8N6s1BUBPAD19LkAhJISetvPmSXCFIAi+h6ap6eTJk9GhQwf07t0b5cuXR/ny5dG7d2906NABX331FQCgRo0amDZtmq6NdQX7dUPGjz76CADQokULpKSkIOT6nTs5ORmFChVCkSJFDGtjfrgjUhTQJ4W+fn3nHoLuLrJ0M/4QLerM393Z6vPZK88LjmOx0FO0Xj3+fd54A0hJyf9zd9wB3Hkno4t+/93xYhL+EC1qNnsuDbN2baB06bzfo3ekKFAwUui1+ooCvPYBRlcrIplWqlWjR7XgGEZGiQKqZYIRk2YlUnTvXu2ZMbdDSZ2vW9e9UbCKKOrqfcsZUdSIAksK/iCKNmzo+DPv0CGOC8qXz19IjY8Htm7lM/Xpp11upuBG7HY7WrVqhYiIiDy3kiVLGt1UQRCEAokmUTQiIgJTp07FxYsXsXXrVmzduhUXL17ElClTEH49RKZBgwZe48UJqFXjGzdujEmTJsFms6FWrVqYN28eFi1ahI8++gjnz5/3qjbfjPKsTEsD1q/X77iKKLp/vyqmOUtQkHMpY56OVKlSxfNCrN44EyHsjKdoWhoH1wDQooXTzSrwREZS2CxVCjhyBBg2zDH/18GD2W/OnAHWrnX8fLVre9Z+Qm88mVZlMuXvLeoOUVSJ5j15Uv9jG41yn1dSPLVQsyb7S1aW6yn0Fotxqb2+RtGixtsNKPdGI0TR7dt5T7DbGdmpJ8o9PCTEvRXTFTHX1e/PUX/LSpWMfd44U2DSW1EKmjrCnj18dSRKVCny2L07ULas8+0SPEdqairWrFnj8Pvj4uK8LltREATBn3EpiTEiIgL16tVDvXr1EOGloRq2m0anZrMZbdq0wcKFC9G2bVsMHz4cQ4YMwaJFi7B48WJUqFDBmIY6QFQU8Nhj3H/zTWDbNn2O27w5J6hJScCff2o/TsuWjheC8XSaj8mkRif5Ks5MTJTL3pGJz/HjfH+JEkBMjLa2FXTKlQP++IMC6Z49wAsvABcu5P2ZIkX4PgBYtsxxewSzGeja1bX2GomSWu4pypWjv2hulCzpnigopTp0ZKT+x87Kovh+6JC6HTmi/3luhxJpqESXa8FkUivHO2MfcTuaN/f8deWL3HWXMcVyFE6d4vPGZPJsQb9r14AJE4AxYyiyxcUBtWrpe46HH+bvtWYNi/C5S8xTFned8RjPjZAQx6KGlcJoRlGxorHnd5WGDR2/NyUkqN7kd92V93t37gSWLOE1N3y4a20UPMu5c+eQnJyc63buXDIAO1avXoXUVANv1hpISeH1aDI5ljElCILgTQRo/eDly5cxffp07L3+BK9VqxaefPJJREdH69Y4Zzl27BgWL16MpKQklC9fHj179oTZbIbdbr8RKWqz2WA2mxEbG4uZM2fiyJEjCAsLQ1BQkFenzitMncrB8B9/MFV3wgTXB/ehoTzWCy8wkqJqVUajOUt4OIvIzJzJwZ23Ub06fzdX0j6NpH59x9+rTMgcmQArtgmK35qgjcaNGS3UuTMjb59/nv2zTJnbf6ZrV+Dff1n4Y80a4N57HTtXxYr0Ml24UJeme5SoKM+fs2tX9oVdu5iWWKUKN3e1RREs8kvd18J77zlXoEtvWrSgMH/2LIV/rVFkSsSiIz68+REeDvTqBXz9tevHMpIKFSgW1qzJhaq0NHVLTc35c1oaxb6sLG6Zmep+VlZO397wcBa/UPzDjeK///jaubPjHouucuQIxdBjx3gPeOMNYPRoeg7ryf33AzNmcAz06688/rPP6i9CK3/DixeZEeLKAnOXLuzPa9fmnn3Us6d77mHOUKIEx6N6+A8bQceOjr931Sq+xsXlLQZbrcAnn3D/ySeNtTcQnCc8PPxGVqUgCILgHWgaFm7atAl33XUXQkND0ez603jixIkYO3YslixZgkaeDAG4zs6dO9G1a1fUrFkTp0+fxtWrV7F//36MGjXqhiAKMFIUANLS0hAaGopKlSp5vK2uEBREE+t77mF02WuvARMnuj7ZqVsXePRRYPZsYMECpuJoEQwiI4HHH+dxzp51rU16YzJRHPFFUbRDB8cqaSsooqgjBW1OnOCriKKuU7s2q8F27szr7PnngcmTb2/dYDIB/fpRFN2+nX9nRzOmmjSh+OZM6r034I7oyfxQ+r4nImztdjXqV29BYf9+CqImE6P7FWw2fcRFR4iMZPTT5s2MVtIaSaY8s/R6TpQtS4Fg+nR9jucpwsIYNduo0a1F1IKCAK3rzNnFuCFDjE9DPnOGlgsmE9C3r/vPZ7dzLPPFFxQPY2I4LnFn5GP//hSnn3oK+OknCqNPP62vMFqkCO2HEhLYd8qVc+140dEUR9u0ATZs4JaWBtx9N8V5b6BtW98URe+91/Hn+eXLwI4d3H/00bzfu2ABbUciI4H333epiYIgCIIgQGP6/NChQ9G9e3fEx8fjl19+wS+//IKjR4+iW7dueFEpq+xB4uPjcd9996Fv377466+/8M8//+D555/H0qVLcS6XmeLLL7+MUaNGIcVH4/tDQlhxsmVLIDkZePVVfaoc9+/PaMqMDEY6aJ1EhYczzd/oCIPcKFzY99Loixd33uvTmUhRpRiMt0yAfJ0KFRjxUacOJzp//JH3++vWZQSz1UqhyRk6dvQ9MduISFFPkpqqevrqHQ33zTd87duXla6VzRV/Ty20asVXZRKvBSVS9MoV1W7AVcqUAQYO1OdY7qZSJUZvvvQS0KnTrYKov6FEiXbsmHf0vB5cvQq89Rbwv/+xL959NxedPJEKPnAghVgAmDuX0aN6o/eCAkDxrl07YOhQiui3sxwxguLFVe97X6FMGee8jlev5ritceO8x2KJierCz/jxnvfnFwRBEAR/RJMoumnTJrz22msIyJZ/FBAQgGHDhmHTpk26Nc4RrFYr5s6di5o1a2LEiBEwm80oVaoU4uLisHXrViTmUrK7TJkymDFjBlJTUz3aVj2JiGDqbMOGFF5eftl1YTQgABgxgq9HjzIKSCuhoYyAK19e/TdXIxr0omVL35qAduvmfHEaZyJFJX1ef0qUAF5/nfvLl+e9wGAy0Y8OYJSOM9V2zWbggQd8ywvW30VRJUq0ZEl9vZP37AHWrePffNQo/Y6rhdat+erKMyIyUi0eqGeUa+nSjNTzVlq2pOjUrx8jyz1ZeMwozp5VCxu5O0p0/37+/Veu5Fjm449ZCM+TxYL+7/8oyALArFm0FNKTqlX5qocf780EBjruDe9J2rY1ugXO0a2b4xHCV68CW7ZwP7/+MWUK/RobNZKK84IgCIKgF5pE0aioKBzPRYE7ceIEIj2cG2mxWFCjRg106dLlxrltNhvq1KmDwoUL5yp8Dh06FIcPH0ZxXy7hDKZTL1lCT9GEBFazdrX4UtmyjBgF6HHoSspdcDDTgKpV40S+XTvX2qYXAQGMHPEFGjbUJiY7GilqtbL4BSCiqN50784J5okT+VfYbteOaZHJyc6nCQYFAX36+I7Y6Cvt1Iq7/ESVKNHHHlNFEaNQIkWPHlWrYWtBiRbV22olNtY7BYMSJRgp6Y2ikztZuZKv7du7d3E0ORkYOZIie5UqXEQYOtSxxUG9eeEF4MMPuT9jhlopXA+U/u9tFkXupGhR53zVjeTxx9UFH0dYu5YWKLVr5/077t4NLF7M/c8/LxgLKoLvk5KSku9mN9rfRRCEAo+moWKvXr3w5JNP4ocffsCJEydw4sQJzJ07FwMHDkSfPn30bmO+tG/fHs8//zwAwG63w2w2IzIyEkFBQbiWLS/v77//vrFfyBmDRi+mWDFGorVowcnpq68C2X5NTXTvTuHw3DnXqxoHBgK9ezNqzpvS6StVYnqzNxMWxrRKLTgaKXr2LD3QQkO9J5LXX4iMZLQIwGJKeREYyEIdAAteODs+jIwEHnnE6SYaghGeop5EEUX1TBHeuRPYuNE7okQBTvirVuV16koVeneJogCjpwcN0v+4rlC3rrHV343g/HlGOQPujxKdOpULxJUr04qkcWP3ni8/XnkFGDuW+1Om0A9eDxRR9Px5FtUqKLRpY3QL8mfAgJwZUvmRmsp7O8D+cbv7g9WqRh8PGADccYdLzRQEj1GyZElERETkubVu3VqEUUEQDEWTKDphwgT06NEDjz32GCpUqIDy5cvj8ccfx0MPPYTx48fr3cZ8icoWemQymWC1WpGUlISUlJQbKf6jRo3CXXfdhVOnTvndjbd4ceCff+hPlpXFQfi332qP8oyKojAK6FPExWSi6ONtdO5sdAvypnNnipWukN8EXPETrV7dmGgaf6dXL77ml0IPsCiDxUKPSKX4lTOULOkbwqhEijqPEiU6YAAXdLwBPVLo9axAnxulSgHPPOOeY2vB2xfi3IESJdq2bd4VtV1l504WoAEojnrLfWb4cFa7B+g1On++68csWZKLSzYbcOGC68fzFYoU8e5K608+yWwrZ1i/nuP2KlWA5s1v/74FC4BDh2idNW6ca+0UvBeLhZlsd9/te5HA2dseGRmGuLg4hz+7evVqn7a0EwTB99EkgwQFBeGTTz5BYmIitm3bhu3bt+PSpUuYOHEigoOD9W5jvmTlslRus9kAAJGRkRg/fjwmTpyIjRs3onTp0jmq0fsLoaHADz8Aw4bx52++oQl7Zqa24z30EAW1w4c9V9U4PZ3+lp7SrCMjWXXVG6lYEahXT/vnHY0UFT9R99KtG20kHCmGU6iQej2uX6/tfFWrqhGn3ojJxEmdP6O3KLp9O/3mFM9nb0ERRV0ptqQUjDl/ngKPOyhZkh6PRlO+PPt4QeLCBTWS2J1RohkZwIQJ3H/ySe8rpvjmm8Abb3D/00/pceoKJpPad9zhK+ooRsQX3HWXdxWBUhg40PnsgPR0WjwAtJq63dTk8mXg66+5P26cZ/1xBc8SEsJ6EQsXct+XyN720FATVq5cieTk5Dy33IohC4IgGEFA/m8hL730ksMH/fjjjzU1RgtWqxUBAQGIj4/HihUr0L9/f1gsFkRHRyMmJgaDBg3Chg0bsGrVKjQ2OpfKzZjNFEIrVQKefRb46y+m1I8e7XykZkwMIzuWL+cDrl8/90Z72u3AnDkU6cqXB+67zzO+a02bUnQwcmKRG3ff7VqapSKG5yeKnjzJ12rVtJ9LuD3h4Yy6njeP0dzVq+f9/gcfZH/bu5d9QYulQf36FNWXLnUtis8dRET4XvSDM6Snq5FbeoiidrtavXrgQKBCBdePqReKr+j+/XzOaLFFiInhgl5aGv3y3FVhukQJPhNnzqTvpBH4WvVsV0lJAX75hfutWqkint7Y7cAnn/B+WaqU6uPpTZhMwLvvquLtxIlcwHJlMbJaNWDrVj4rGjb0rC3DiRN8np09C/To4dnxg9kMdO3KSOB//vHcefPiqafoY+ws//3Ha6JsWXWRKTd+/JH3rYYNvSvyXRDywmQyITw83OhmCIIgOITDkaJbt251aNvmaqUfJ8jKyoLFYkF8fDyqV6+OZcuW3fi/xMRE7N+/H+vWrcOGDRvQpEkTj7XLaAYNAv74gwVY1qyhKJqR4fxxnnhCLRTzyy/ui+QBGEWnRC0eO8Y0sw0b3B+JYDYz5dibJqzt2tErVis2GxAfz/38JqL+LFB5C/368fXvv/OP3K5YkT6ydjvw88/0G9NCVBQnq48/ru3z7sIXPOFcYcsWpkKWKaOPR+/WrVy0CQxUI828hcqVed/MymLBPy2YzcADD3D/t9/Uom/uoHhxFqkygrJlXYv89zVOnKCH5tmzjB5yZ9GrWbOARYt4LU2f7r1FrEwm4IMPgJ491fu7K9x1F3/nQ4d4n/AECQnMSPr6a47T0tP586FDnjm/gslEod0bsiK0CqLx8RyfAxyz5zUWU943bJiM2QRBEATBHTgsiv77778ObdmFSXeSlZV1I0K0UaNG6Nu3L6ZPnw6AxZaio6Mxbtw47Nq1C/UK0mzkOl27ui6MlivHQbzZDOzbB/z5p3tESpsNUC6bLl0Y6ZaVxfN9+62ajuouIiIoIA0ZYnxaVkyMGoGllZMnKaaFh+cv9iqpzJcvu3ZO4fZ07cq/6+XL6uQmL158kSJKUhLw66+u9bny5b1HGO3bF/DntamsLNWDuXdv1z167XY1ZfKZZ5z3qnM3JpMqdv3+u/brVCkaYrUCc+fyuncXxYszCt+TxMUB/ft7p6+23tjtwOrVjG5OSmK09JQp7rt2Fy9WI6knTfL839ZZTCYWwwSAFSuAK1e0H6tiRQpyAMdKiYmut+92JCXR0/KLLzgWNJmAe+7hWMVmY791tSinFurXVxcdjaBbN22CqN3OvxnAazYv68Vz5yhAm83e74MvuE5KCsfu4eHc9yV8ue2CIAg+WVrlZkG0e/fumDx58o2iSiaTCQEBAXjmmWdQrQDnBXfqxFTcoCBO1t96y3lhtEEDtdrxpk3AqlW6NxM7d9JTLiiIKY4ff0yBMiCAg8Evv9RWkdtZChfmAPWVVxjR5mqRIy3cd5/rkQCKd2Xz5vwO80JJeRVR1H0EBDDqGmBEU36EhdGDzmwGDh50TEjNC8WOwijKlgWGDlWL6vgrO3YwjbxYMd57XWXjRqaUBwWxWIs30rcvPXOPHdNehd5iAUaOpDVAcjIFFq1e2I7QtCnF3JIl3XcOhUcfBTp2LBjRXamptMBZupTP6vbtgcmT3SeIbtqk+oi+9pp3+MY6QpMmQOPGvMYVYUwrDz/MCOSsLLWglZ5cu8a/56efMhrVbqcQOmMGx0lvvgm0bMkFjTlz1AwVT1KpEiMttdh3uEKdOkCjRto+e+AAx7yBgflftxs28LV5cxaaEvyf1FTtWUJG48ttFwShYONzomh2D1FFEJ02bdoNQTQ7uf1bQaNjR1UYXbeOwqizE8527YDBg7m/bBmgp0OC1UrfUoDRNJGRakrlt99SlM3KYkSIJ6JGAa5y3nknI/a6dAGio91/ToDn1GOiroiiLVrk/16JFPUMAwbwdeNGxwqXVanC6w+gb5qWavTZadCAk1dP06IF+7W3VIJ2FzabKl4//DDvt66Q3Ut08GBGGnsjhQrRfgRwrXhMeDgwdiwF1jNnXI+Qzo+YGEbZuasgT8WKwEsvuc9H09s4dgz46iumUVss/N1HjuTf1R0cOsSxjNUK9OnDa8eXUISw3393zZbIYlGjtbdtcy3yNDtZWbyfTZzIyF+rlSLgZ58B77zDhTaAot5bb1Gws1qB775TbZA8SalSLLBVooRnzlekCKNEtfi42u2qgP3ww/kXHty0ia9duzp/LkEQBEEQHMPnRFGLxYJjx46hdu3auP/++zF9+nQRP/OhY0dGqCnC6LffOn+MBx8EevXi/oIF+nlIbd5MQa5oUaawZyc2FvjoI2OiRgF+X82bA88/T5HWnZFFMTF5p1A5SmIiC72YTGx7fogo6hkqV6YAY7dT4HeEbt0YbWW3Az/95Prqe8eO+Rd60pNevZjuVxCi5PbtAy5e5D2jWzfXj7d2LY8ZEsIoOG9m0CC+Ll/uWup7TAyL5JjNwJ496mKZu7BYmBHw7LPOV43Oi3btGEHr6cg1I1AEnm+/ZZR02bKMDr33XvcV/rlwgZHTqan8rmfMcN2qwtP07s3F1tOnOQZyhdq1WYBHsS5wlQMHKH7+/Tczi8qXB957j9Giderc+v6gIGDMGEbAZmUBs2erBRw9SXQ0MzI8UYzuoYe4gKOF+Hh6J1ssHFfnx+nTfPXzOrGCIAiCYCg+NpRkpOiYMWPQp08fTJkyBZaCMOPWgQ4duIoPAN9/z4rBzvL00xRW7Haa6yuDNa1kZLD6JkBfqJCQW9+TV9SoUuXZ3VgsTFEbNIgr+64UQbodeqTNA2qUaL16jk3KFVHUnX5kAhk4kK9//smomvwwmRhxVaaMPv6iJhMXHtydNlyqFBcSXKms7EtkFyN69aL9gSvYbGqU6AsveC76SSvNmtHbLzNTe8Elhbp1Vc/F//7TnpLvDMWLU0y56y7XjhMZSf/etm19T6TTQkoKxxTLlrEPdOpEQdSdNhnJyVwkSEgAatUC5s/XLk4ZSXi4WvRrwQLXj6f4am7eTHFaK1u3qr6+xYuzsM/06cwyyEvkDgpiBGmDBrwPzJzp+vhQCyEhtKxwZ+HMu+92LXJfsaC6917H0uGVsVmpUtrPKQiCIAhC3vjc0N1isWDChAmYMmWKRIg6yUMPsfKpzcYCSs6m0ZvNHCQ3bkxxctYs19LZ16/nxCo2lqb9eZFb1OhXX9HvylmfVK2YTJyI/d//UcTUK61er7R5QBVFHU2VlkhRz9GjB31rz51zPDooPJzpiYq/qFLIRytBQUw3zS9lTytt2jCN0ZPeZ3Y77yPZxYDLl3lvuniRAsr58/ze3XGdHz1KAcBiuTXaXQurVjESPyxMFQi9GZNJjRZ1peCSQpcualbCr7+6tyK9gtnMYk9DhjD13VFCQliQsEULFsNS0or9nfh4Pn8PH+Z1P2wYozfd6cOdmcl74dGjFKX+/JP2Db7KM8/wdc0a1xd4GzRgxKjNpv0ZsXo1BVq7nX1w1iymbDu6WBsSQhuDunX5t/r2W+DsWW1tcYWAAC6kt2mj73ErVKBViCvFOE+dYkEqk0m9x+WFzSaiqCAIgiB4Ap9UFQsXLmx0E3yWSZOAv/7iwOy775yvTB0YCLz9Nv0ODx3iMXr2dF7Uu3ZN9VV64on8CwIBatToHXcwvWvtWg7kd+7kIL5GDfel7N3cjgYNmEq2ZQsjmrRUWqxaFahZk8fSg/R0tdCBI36igIiiniQkhGm1n31GO4tmzRz7XJUqjBicOJGLAKVKsbiEVqKjmb45bZr2Y9xMq1YU4o0oTvbbb8D27YwYmzmT//bll+wPuVGmDBd2atfWpyK4EvnTvbvrIo3NBnzzDfdffpm2Ir7Ao48yqvn4cRacql/fteM99RSPtXYtI9eeesozvrSFCzPqbuvWnB6pFgszBEqWZORuiRLcj4z0zDPHW8jK4vNu1SqKZ+XLU6h0RkjWwqlTLMC4ZQvvMQsXUoz2ZWrVYlTxihX8fZwdi2XHZOJ1+/rr9K1u1crxiHW7nc8VxRO5Vy8ucmi5rkNDgXHjuJizZw/vZQMGeD7a3WTiYvMdd/B+tHWrY17euVGvHo+jh6+z8qzo3NkxkTMpSfWcLV7c9fMLgiAIgpA7PimKCtopXpwpbr170/upVSvni0GEh3PgO3gwIwEmT2YVzvbtHR+Ir1nDaIJKlfg5Z4iJYUTC6tUUmM6dA378kWl7d9/tuSi1gAAKWw0asELoP//k/f5ChSiEVq3KqAM9BJnsHDrEAXTZso5X/FVS7K9e5YRXgq/dy8CBvGZXr2YEiKPrO/feS+Fv2TLaX/Tr55ooULo0Bdp//3UtEi8ujmKoqynjWtm1i98LkPPaDQ6mkGU2czOZ+Hr5Mv3uTp7k4lD9+uzDWu8Zp04xcs1k4uKQqyxfzuOFhwNDh7p+PE8RFUVhdPp0iomuiqJKRfrBg/l9fP89xRW975m5YTLxeVa9Ov++hQvz+ijoTj3HjvFve/Eif+7ShZG17lwIycri3372bGaEBAYCv/xCD01/4JlnVFG0b1/Xnr/NmnFscfAgveMdGVfZbMAff1A0BGiR1KeP9jYAfBaMH8/q9Pv30wpkwABjRL3QUHqrN2/OAm5btnAR/XYLZgohIfRIbdpUv8WY8+fpEw04/h0rUaLFinnm3icYj9nMxRJl35fw5bYLgiCIBFIA6dmTnqDz5wPvv8+oKmerJRctCnzyCfDFFxzUb95MgaJrV66s5xdlsHEjXwcO1P7wjItjxNecOYxYPXwYmDKFXl2xsdqOqYWgIIrLTZpQ7FUiYAGKvlWqcLJStKh7o4r27OGro1GiQE5vy9RU/68SbjT16nGitXEj009ff92xa8JkopdecjIF+NmzWdW9dGntbalcmVtqKvvOwYMU1tPS8v9sixbsf+6qLu0IdjuLgQD8Lvr3V9NQf/019+/10iWm3f7+OxdT1q/n99mwIQfzjl7/NhvT8hU/wE6d9ElvnDuXr6+95rhg7i0MGkRRdMUK2gjUquXa8cLCuPj1xBNcfPvnHwpxniI8HKhWzXPn81YuXOB3r/iQFylCMVSZ/LoLux2YMIGLFwB90b/4wr/+Jj16MIry/HlGRbdurf1YSrTom29y0S06Ou/iPFYrBeY9e/jZl1/O38bIUSIiaNH08st8psyZQwHYSP/XmBj+fp07U5zcupULLtkpUoRRofXrOz8mzg+lcFzr1o7bbChjOkmdLziEhrq/yKC78OW2C4IgiChaADGZKIQuX840+q++4iTHWUqUAEaPZqTWp5/yWL/+yp+7dcs7+spmY+XYO+7Q9jsohIQwCqFzZ1ZI3bePKVv9+jkeLakXISGMzmjenIJJqVKemwRcugTs3cv9zp0d/9y8eXxt1KhgVEv2Bt57j+LOkiW8Rp54wrHPBQXRumL4cGDbNqaKP/GE6xOmsDD6wNWty355+jQF0vh4RoUp1hDR0bR7iItznyepM6SmqtXOe/d27DNFijCisXdvYNMmigIbNjCCaNs2Rlu1bp0z8jUtjQJq9u38eUaxKcd09G+YF6dO8Xs3m1kR3ddo0oQizy+/UJiZOtV1YbdUKV7zr71GAbtmzYLj22k0SUkcI2zbRoHSZOJz/amnPPOsmDuXgqjZTLG9f3//syoICuK9Y/x4Wqq4IooCvDe3a8e/2x9/8F7eteutEaiZmcyuOXSI3+9bb+nvwRkVRVF70CDeM5cvd72YmR4EBqrPu8REXt+JibRTqVbNPdfYoUMcn5lMjtskJCQwCwvgM0sQBEEQBPchomgBpWRJRlfefTcjRhs35oBaC/Xrc/A2bx4nL0ePMqKjXTtGlClphydOcFILUDgcMUK/AWiZMizENHw4PaRmzqQpvru9znIjPNzzEXRr13Li2qyZ49V/L12iiA1QePC3Cae30qkTFyUGDeJ1WqKE4xE6SjGLV18Fdu/W37PNbGZfKlNG/bf0dG7e5p+oRIXGxvJ7cabAj8WiplXu3El/1R07mHa6aRMjeq9e5WReEV5vJjiY0ZBDh+oTyaP4zd15p+94iWbHZOL1uG8fI5y+/14fcbdZM/aPhQvpH/vMM/pHcQkqaWm8FtevVzMJWrdmATVPCdKrVlFUB5iR4orfprfz5JMURTds4D3NlTRzs5kLElWq8J62ZQvvYT17qlHw6ensm8eO8T44dqzj/tbOEh1Nr2FlUaNRI+/yxixcmPdbd5KVxewEAHjwQcf8wO12euhevcqx+SuvuLeNgiAIglDQEdePAkzXrqpv3QcfuFYBNSCAPknffsuBr9XKlLupU+nfd+KEmhoKAG+8ob9/peJl1aQJB6LffcfIK38nJUX1BHPGD2zuXBa8UkQHwXM8/TQ9EwFOftatc/yzSjGL6tU5wZ05U/X5cwfBwZxQe5MgCqj3K1cLrtStC/zvf7x3VK3Ke8eWLbx3KIJoqVJcNOrXj9Hxs2ZRpPv4Y/0i0pWq0Q88oM/xjCAykotTAC0KrlzR57j/939cyEtMVC0TBH1JT2fa9f/+RxsYq5WLA5MmAWPGeE4QPXSI0fR2O0X1wYM9c16jqFqVVgQ2G7B4sevHM5kYWTh+PBcPTp2irdCxYxS8Z83ifmAg71/uEkQVmjXjvdNupzjozOKVP7B6NRegixZ1XNz/6y8+DwIDOaYWr/eCQ0oKFw6KF9dWwNVIfLntgiAIIooWcN5/n356SUncz+4xqYXSpZky9frrFFPOnWP06MyZarop4L5In5AQTqhatuTvMncu/RL9mQ0b+LvWqOF4gZOLFxl1BXDC622CV0FgzBj639psjNQ9csTxzyqebZUrc/D57bdqUYaCgiKK6iHWmEycvH/1FUXPhx4CXniBtiC//87IqnffZVRu27aMpNWz8E5WllqEw9nCc97GXXfxmXLtGrMQ9CA8nNHRACN5nekrQu7YbFywXLGCxXDGj2cV8owMZliMHUuBtHZtz7Xp4kUumF67xoj6Tz7x3LmNZOBAvi5apFYbd5Vmzfh3rVRJfUZMmUKRNDiYBf/q1dPnXPnx7LOMYj16VLX5KQgkJqoe8//3f45lEF24wIUIgGMET/Y/wTtISODmi/hy2wVBKNiIKFrACQ6mcBgSwmjD7793/ZgmEyfGc+dyYgNw0l+njuvHdgTFe1GJvvjhB3oA+iMZGRRFAfokOipuzpnDz7Zs6ZwHqaAfJhMjqTt2pAjw7rv8mziK4tlWvjzT7L79Vr/IPF9AGXhXqKDfMZXqqc89B9x/P6NIPeGfeuQII/WioxkB7MuYTLQxAegvmpqqz3EbNwa6d+f+ggX5V5AWbiUxkaLyjz8CH37IBcvly4HjxxnBV7YsU52nTqX1jScXy9LTGT1/4QIX+H78seBEyD34IPv+2bNq1ocexMZSYGvfnn/fy5fpgfzll569z8TGqr6YS5bQ07QgsHgxF6wbNnRssctuZ6R9SgpFbUmbFwRBEATPIKKogGrVOEgGGFmwe7c+xy1UiFEfH33ESIi339bnuI4QEMBz16vHAficORSO/I0tWyiolS4NtGrl2GcuXGD0GyBRokYTFESbhxIlGEWj+Og5SqFCTIEsU4aC6Lff+ud1nht6pc97A8o9t3lzCrO+To8efK5cvarea/TgmWcosFy5olYlF/Jn8WJGPX/6KW0f9u7lcyMign6hQ4fyPjRzJovA6RkF7Qh2OyNV9+3jYs/vv/PeVlAIDQX69uX+woX6H3vkSEa+t27Na8AIr/VHHqEFxpUrqn+yP7N/P3DgAO/nL7zg2Djrzz/pvRoYSH/mgrIoIAiCIAhG4wfTL0EP+venH6XNxoi15GT9jt2oEaMEsld09gRBQcA77zD65coVRq46E4nn7Vitqhdlz56OT2TnzqVQ3KaN76fq+gMlSjBiCwB++omRXM5QpAiF0ZgYRoLNnOn/fk5paeo9yh+qkSsppS1aGNsOvbBYaKECMOJPr/tuaCgwbBj3t24tGJ7RWsnu3bh1K+8NJhMXCgcMAD7/nIX2xoxhBG5srGFNxbffAv/+y+tmwQIWCipoKCn0q1bpH/FvMjHyfcwYLqAaQUgIU8gB/o7+bPeSman6w/bq5dgz6tw5FigFaAGlFCUVBEEQBMH9iCgqAOCg+csvmYp69ixFFn8wxI+KoldqcDBw+jTTOfXy7DKa3bs5eSpcmHYFjrJ9O18djV4Q3E+3buqEcfx45yfFxYuzz5YowbTymTNvXzXdH1BS54sXd8ynzdtRIkXvuMPYdujJo49yQerSJX0KyCjUr890Y4ARhWlp+h3bX8jIyBlx2KQJPUL/+IM+nf36AbVqeT4iNDeWLqUoCgCTJ9O+oiDSoAEtIjIz/beYWJs2XCS32fw70nvlSloVlCjBvpYfdjutcFJS+Ax46SW3N1EQBEEQhGyIKCrcIDqanqJmM6M2FiwwukX6oBR/MpuZ0rRkidEtch27nRWCAaaqBgc7/rmzZ7kvkQjexYQJ9HlLSNC2KFGqFK0qihalh+4XX6jFe/wNPYssGc3ly1ywAZg+7y8EBanFkb7/3vUiftkZOJCWEVev+re4ooWEBEae79yp/tvbbzMK2dPZGvmxYgUXLQHg5ZeBJ580tj1Go0SLLlzoH4vSN2MyAc8/z9f9+4FDh4xukf5cuMCK8wC9qUND8//MH38wQyQoiGnz3rBYIQiCIAgFCRFFhRzccYc6Sfn0U2DtWmPboxd16tBXC6Bn03//GdseV7DbgX/+YbpVQABw332OfzYlRU2t1rNAjeA6YWH09bNYeH1+/bXzE+MyZRgJVq0aC5f88AOj6fzJNiItDdi8mfu+Lora7fybAywuU7iwse3RmyefZDTv2bP6Rr+FhLAgkMnEyPfFi/0nA8AV9u5lhfHz53N6cnqjT+2ffzKd22ZjNN348Ua3yHj69OECZ3w8RUN/pEIF4KGHuP/zz/5TBPPMGT5rJ0/mNd2sGT1c8+P8eeCrr7g/bpzvF9oTXMNsZmR/kybeed/OC19uuyAIgty2hFt49VVOUmw2YPRoYNs2o1ukD3feqaYo//uvuprvS9jtwKJFOSMRIiMd/3z2aK2gIH3bJrhO48ZcjACA2bMZNeIspUuz4nCvXvx5yxYKJUo0oi9z9Sq/k9Onef3ee6/RLdKO3Q5Mm0YfWYCF4fyNsDC1gvKsWUBWln7HrlOHhZcALnR9/z2LBxVEbDamof/4I9Ov69XjPcAbsdtZ+PCDD9juxx9ngUeJjmO2zv33c3/FCkOb4lb69wcqVWJ//fprCoq+SEYGF+imTuUzdssWjrEqVABefDF/eyK7Hfjf/4DUVEZyDxnigUYLXk1oKLBxIzdHooy9CV9uuyAIgoiiwi2YTEy/u/deDvpGjGAVTX+gZ081RW/pUt+KhLXZWBhDKcTz0kvqBMpRsk88MzP1apmgJ88+y/R5gN6gWoTRwEAKRhMmAMWKARcvUoBbudJ3I+oSEymenD9Pi4CvvvLtSNFvvqE4BFDAcsR7zhd57jlGi54+rb91Sc+eXLizWJiKO20aLSP8MfX4dqSkcAFFWSh7+GHVRsPbsNlo6zF1Kn8eNoyimAiiKopf7n//+e91HB4OTJzI6Pj0dN7XT5wwulWOc/YsU94nTODr6dOMjGvfnr/X11+z8GF+/Psvx6ABAbx3ST8QBEEQBGMQUfQmrl69anQTvILAQKbetm3LVexhw4Djx41ulT707cvoFICT9PXrDW2OQ2RlAfPmATt2ULQeOVJblFxAgLovoqj3MnQohQ2ARUiUQiTO0rgxFzjatuUEe9kyCq16Vzd2N+fPc6KZmMgq2Z9+ClSsaHSrtDNzJjeAk+jnnjO2Pe4kPJyp7gCjRfW+77RtS6FNEf9/+IEi86ZN/n+PO3WKEWpHj/Le/uabXFTJfp/3FjIzWexJiYz+6COmzEuxv5x07coo+NOngcOHjW6N+4iKoqhYty6vjZkzaRvgrWRkAFu3UrycPJkRopmZtKx55hlaAYwaxYJZjlzTV64An33G/ZEjWfhMEARBEARjEFE0G3v27EG/fv2wMHvZVidJT09HUlJSjs1XCQ1lsaXGjTmAe/VV+li6C6uV6bGe4LHHKI4C9KPbuNF7ozLS05kaum8foxHeeQfo0EHbsbJPlvVMZdUbf+pHWnnpJeDDD7n/zTeqiOYsUVHAW29RmAoIAI4dAz7/PGchFm/m5EkKu8nJTLn89FMKo77KnDmMjAL4933xRfedy1v60f/9H1CyJCOs3FEYqVo1Rh8+8ggQEcGK9wsXUnD+919eO/6C1UoRdPFiLhQkJQFly/L3v/NOo1uXO2lpzDj55x9Gw82a5VsVtj3ZjyIiKIwCjOz3Z8LDKYw3bszxyKxZwPz5jPr2howGq5Xerj//TLuHBQu4EGE2A+3aUdifOZNWNdk9fB3h669ZZK92bWD4cDc0XvAYdrsdKSkp+W6OkJpK+4UKFbjvS/hy2wVBELwwnsAYdu3ahVatWuGJJ55AtWrVcvyf3W6HycFwhvfffx9vv/22O5poCFFRLIjQpg1FuVdfZSEXvQuCbNhAoebUKa62t22r7/FvxmQCBgzgQHzuXNWns1IloHJlRqEZVak3I4OpZMeOcTt5khOEgAAa8TdurP3YvpI+72/9SCuvvEKxftgwCmlmsyrmO4PJBHTpwqicsWOBPXuAX36hLUbLlqxc740RW4cPs39mZXHy+P77znnoehs//KCmDr//vuq36S68pR+FhXHi/+KLTPXu3Fl/T+NChYCnnmL/+PNPRiSeOcM05FWrgPr16dtXvLi+5/UEyckUig4cYJ/IXjitdWsueISHG9e+vLh8mX/7fftYIGv+fN6LfAlP96MHHwR++43X7hNPeOy0hhAaymfSmDEcg+3YwS08nL7B9et79vlkt3PctXMnn5PZfYrLlAHuvpvXrytj4KwsZm0A9BQVf3ffxW63o1WrVlizZo1Ox+P1p+z7Er7cdkEQBJPdLreulJQU9OjRA9WrV8enn34Ku92OkydP4syZM2jWrJlTx0pPT0d6evqNn5OSklC2bFlcuXIFUVFRejfdY5w4AbRqxRT6qlXpeRgR4dwx7PYsXLjwCwCgePEeMJkCcPIk8OWXQPbxREgI0yE9kR5rt1Ns+u67WyMTYmJUkbRsWfelJKan83tVRNBTp24dUMTEMNKmdm3Xz9exIyMgTp5kUR4jSUpKQnR09C39w1/7kVbGjwdef537ffoAAwdqr+5ptTIiZ+ZM9TorWpQT0Lp1jfcitNnYBw4e5CTZZmM10zFj8jbvz+3+4k389BMXfgD+LqNG6XdsX+hHaWlAlSpMC37xReC++9x7PquVYugPP7Aqu0LVqryeIiNpE5N9CwjwjsUBu51RtQcOsB+cOpXz/wsXBpo3B+LiuOXWZm/oD2fPckHnxAkusC5ZwnZ7K97Sjy5fph2E1UorCD2e+96O3c5++vffFAyzB+MWK8biYXXrOh+R6ei5z56lELprV86MpaJFGYHdsSMj0vW4P2zbRoucYsV4Xn/zEr1dP9L6Pm8mJSUFEU5MhuLi4rBy5crbBtqkpKhzq+Rk713syg0tbc/+/SUnJyPcl35hN+MP/UMQfAnvmjUaRFpaGs6ePYv33nsPANC9e3ccO3YMhw8fRtWqVfHOO++gc+fOCA4OzvdYwcHBDr3P1yhbloPVO+7gJG3ECAo1ISHajpeayoihn37iqrnFwsqbO3YwxW7UKBZScVZ4dRYlYrRPH5570yZ6RR09yiijM2cozAQEMCWkTBm21W5XBaXc9u12ijlWKzebTf05++vVqxwU3yyClizJSUD9+vSoio3Vb7IeEMDze3OkqL/2I6289hr//q+9RiuFhARGbQcGOn8si4Weus2aUTBatYpejCtWcIuJoUBauzarIbsbu53pzkeOMAouPp4LBQpt27Iyuy9H08yfrwqib76pryCaF97Uj0JD+XccPJj3fsU70V1YLLx22rSh0DFvHtORDx7kdjuyi6ShoewPZcvy3l+smH734cxMCj9JSbSnyf569uytKf/VqvH526IF97Uuirgbq5Ui7oED9F5MSADKlaNtQo0aRrdOG57uR4UK0TP8119pM/DCC4xQ9GdMJvpq1qpFX9xNmzjm/O8/XkPLlnErV47XUXAw+4DJxNebN6WfZmYysjojI+d+9p8vXOAzUCEigveO9u05BtNbtFSKot1zj/8JogWZc+fO5SvqhYWFOZx5KAiCIHgOEUXBKACLxYLIyEg8++yzsFqt+Pzzz1GqVCm8+OKLePXVV1GqVCk0bdrUqVR6f6NaNQ5KW7WigDh6NPDuu9oiKAcO5MQPAO66i95vNWty8NukCSMm332XaVWemPyFhjKCRYliSUigOLp5MwfniYlMXzx0yD3nj43l4LtePYqgpUq55zwA/17p6d4tigq3MmwYUKIE8OSTnCxeugS8/bb2SIJatfj5lBQKo8uW0VtXWQz4+29OQOvUYXSdzcZUwvR0bsp+9n+zWjlZDQ3lgkloaO77mZmqCHrkyK2Fn6KigIYNKQJ16uTZieOpUxTPTCaeV9kCAm7dB/j7p6Vxy76vbCkpLNABMI149GjP/S7exsCBtAA5eZJVm3v0cP85TSZGmNWty/P+9BOwZQv/Nsr1m/1emJmp/nzlCp9Tyt8vJITiaPbtZq3Mbudxr16lwHn1as59RfzMz3MtJITPwjvu4GZ0BHduXL3KPqz048OHuaCYPb2/dm0KokZnJfga06fze1y0iN7DO3dSHHVmIfrKFXpiHjjA7dw53oPDw7mFhan7ys8REVyUrVTJfb9bfgQGUvxv0YL3z5Ur+TzasoVZNe4o+mmx0IqiQwcuGLprwcZuVzOjund3zzkEYwgPD5dIR0EQBB9F0ucB2Gw21KtXD5UrV0axYsXwyCOPoEO2SjbNmjVD+fLlMW/ePKeP7Y/h76tWMZUoPR1o1Ah4+GGmmOcXRbNvXxaKFGE632OP9UDZsgGYOJGr5dk/t2ULB8MZGSyIZLSnlt3Oid6mTXwF1OiEm/eVCAWTicLJzZsiqChbeDjFKU/63N13Hyfmu3cbX/G0IKVZ6cXixcADD1DMqVyZIlOxYvoc+/JlRosuW8aFD09hNnNBoHFjoGlTplk7K4TqkS585Qp9KS9ccPqj+fLqq+6rtu1L/eirr1h4qWhR2pZ4QyCr1Xqr0H/tGhfH9uzhtn9/zghmhRIl2P9SUlQB1NEFp5AQfr5ECT4DlNfSpXlvdkWYcUf6fEYG/VrXr6cAev587u8LC6MI3aIFo6KLFHH51B7B2/qRzcb7+6hR3K9UiZXKb2ctdPAg/dkVIdSVwpgffcTxnTdx4QIzifbsUbNwsmfj3LwPsI8pi3LZF+ey/xwdzeeOJ3zk4+M5pg0M5MKmu7OhjMDb+pE70Tv9W9LnfegXdjP+0D8EwZcokJGi6enpOVKhzGYzJkyYgIEDB+L06dPo3bs3ACAjIwNBQUG49957sW7dOqOa63W0asUiLd27U8DcsoX/HhVFkUbZqlRhpFlQEFfGx45lxU2AUaDPP5/7hLhRI2DaNAqiM2dyIuDuwkt5YTKxDUZGTuhFYqI6sZflEN+kSxcuTHTqRGHihReACROY5usqhQpRNL/vPgoey5dzEnrwICePSmRRRMStUUbh4ZzoJSer4lByMgV45d+Sk9XrrmJFiqBNmlAQzcsv1FPMnMmJd/nyTLvOyuKWmZn7vt2ufh+328LD+bu2aOEdfpVGM2AAi0wdP840+iefNLpFFODDwnIXRVq35mtWFvvb7t3c9uxhFOn587mLg5GRFH6LFVO3okUZhacIoJGRvnNNXLpEQS67PyvAvlK/vprpUL8+n5WSFuw6ZjMtJ1q0oMXPkSPsP02aMMq6WTP1e/71V+Czz271Rlc8dBs3ZrZPWtqtdg3Ka1ISsHQpP/fPP94nihYvDlwfnvsk6en00AcYWOCPgqggCIIg+CIFThTdvXs3hg0bhpSUFKSnp2PkyJFo2bIl2rVrh6effhrjx4/H1KlT0b59ewRdD9M4fvw4ihYtCqvVCrPZXGDT57Nz993AwoX0yTtyhBOlpCSmGSqphgAH7OXLcwKcfZL04ot5p93360ex9X//4wQ6JoYDekE7djvFs/R0pkRXr250iwStNG7MyOXOnSnUDBnCv2358vqdo0QJoGdPbna7PuKNzca0YZuNiyjehN2uer19+qmkNrqLoCBGoT38MCNFixalCO/tj9WAAN4zq1dX0/4vXVLF0cKFc4qfWv22vZFDh+gjfv48hdyRIynU1avnGd/hgs6dd3Jc9dxzFD83beIWG8u+c+kS/aEB2hF17EghtGFD5/8+f//N58ratbxPe6t3ra+Rmso+tG0bgwFGjDC6RYI3onjrKvu+hC+3XRAEoUCJoocPH0ZcXBx69eqFSpUqYfv27ejfvz8ee+wxvPjii3j55ZcREhKCMWPGoHXr1mjQoAHS0tLw66+/YtWqVbBI6EMO7rqLG8BUwz17gO3buW3bxtfLlymaAkCvXs4d/8MPgX37mC48YgRX2PVKEy6ILFrEiN3AQEZoafGCFbyHSpVYhKJTJ/a9F15gn6laVf9z6TXANZu9Nzrm6FGmmwYFUVQQ3MdDDwHPPMNU+k8+oV/iyy97Jn1VT4oUYeaEP7NyJbM8rl2jIPz77+65xwh5ExPDDJ0jR4AvvqDn6OnTauQhwAycN95w7X7dti2F78REpuHXrOl62ws6V6+ySOLevbzHLV4MxMUZ3SrBGwkLYyaCL+LLbRcEQShQa8Bz5sxBs2bNMHnyZLz22muYM2cORo8ejSVLlmDs2LG4cuUKhg0bhrVr16JcuXI4e/YsbDYbVq5cidq1axvdfK8mJISpVk88wejO5csZvXDsGLBgATBnDlPinSEgAJg7Vy3ANHIkJ2aC85w6BUyaxP2xY5niKPg+sbH0AG3cmCmQQ4dSYBKcR3FI6dTJ98Q5X+SLLxgxarHQw/aZZ1TPZsF47HYunr35Jp+7nTqxj4ggaiyVKjEr4NQpYMoU1Xpk5kwuHru6gBUUBHTtyn2lIJCgncREPpf37mV2xPLlqiWHIAgqKSkp+W5SBkUQBHdRoERRq9WKq1ev4tq1a7Bed2EfPHgwhgwZgqVLl2L27NkAgLp162Lu3Ln45ZdfMH36dNSpU8fIZvssJhM9Re+9l35YWiITo6MZmRIVxaiF8ePFC9NZrFbgvfc4sW3XDnjpJaNbJOhJsWIUlVq3ptH9sGHA5s1Gt8r3WLuWr/fcY2w7CgomE+9FK1awsNCJEyzAtHix0S0TMjK4eDZ9On8ePJiZBoUKGdosIRthYSwKt307rYv69dPv2Pfey1cRRV3jwgVaRR0+THuNVatY0EkQhFspWbIkIiIi8txat24twqggCG6hQImiMTEx2LdvH86dOweLxYL06xVnnn76aTz22GN47733cPLkyRyfkZR546lcmcJoQABX2WfONLpFvsXs2YxSCA8Hvv1WPML8kagoikl33UXxe/hwihiCY1y5QgsCQERRTxMXR7/Ezp3pdzx+PG0gcqv0LrifS5cY2bZ0KZ8VX37JAj5it+K96P23uftu/u2PHKFfruA8Z87Q0ub4caBMGUZZ161rdKsEbyc1Fahdm1tqqtGtcQ4tbQ8LC0OcE14Sq1evRqqvfTGCIPgEBUoeGTRoEOrWrYtu3bohIyMDwcHBuHY9H3v48OGIiorC33//neMzUlTJO2jThv5zAPDNN8C//xraHJ9h715VRJ48mZG7gn8SFgb89hv9GjMzKSx98IGIS46wYQOLitSrJ33ECIoXp4j/9tuMIF20iEVlblqjFNzMoUOM1t2zh76Sf/9NWwOhYFGkiJriLdGiznP8OIsfnjlDu4OVK6VQqOAYdjvvv3v2+F5WnJa2m0wmrFy5EsnJyXlu586dc2/jBUEo8BQYUVQJt//oo48AAC1atEBKSgpCrpeITU5ORqFChVC4cGHD2ijkzZNPshgHAIwbx3R64fakpTEF0mYDevcGHnnE6BYJ7iY4mFWI33uPkT5//snU19OnjW6Zd6P4iUqUqHFYLPSv/PtvppoePgwMGsT0esH9rFsHPP88K8xXr04LjvbtjW6VYBTdu/NVRFHn2L+fKfMJCfTDX7kSqFDB6FYJgvdiMpkQHh6e7yYIguBOCowoqkR8Nm7cGJMmTYLNZkOtWrUwb948LFq0CB999BHOnz+PBg0aGNtQIU/Gj6dwkZEBjBrFVD8hd778kpFWZcqwqIkEPRcMzGZWIF6yhB6Ahw4BTz8tk9vbYbUyUhQAunUzti0C0KEDsGsXI9VSU4HRo4FPP2VhGcE97N0LvPWWFFQSVBRf0W3bgORkQ5viE6SnA1OnMsI9MRFo0IALOrGxRrdMEARBEIT88HtR1Gaz5fjZbDajTZs2WLhwIdq2bYvhw4djyJAhWLRoERYvXowKsqTr1VgswHffMZLlwgWmW2ZmGt0q72PtWvqwArQbkADogkeHDqxE36IFCzCNGMFJ2/Uac8J1du/mpL9oUaB5c6NbIwAUEpYtA157jT/Pnw/07Qs8/jhtVHbv9r3UQm/l7FneGzIy6CUpBZUEgKJ4jRo5F42E3NmyBRgwAJgzh99Xjx68fxUvbnTLBEEQBEFwBL+yzj927BgWL16MpKQklC9fHj179oTZbIbdbr8RKWqz2WA2mxEbG4uZM2fiyJEjCAsLQ1BQEIoUKWLwbyA4QnQ08OuvQOPGwI4dNLMfMYIVjAX6+bz3HveHDqU4JhRMypRhcbJhw4BPPuGk7dgxRlkHBxvdOuNJTwdmzOB+ly5cdBG8g4AA2qS0aQNMmAD89x+v3WPHaBFRpgwLi3XuDJQoYXRrfZPjx3lvSEwE6tcH5s6VgkqCSvfuwL59zDqJjuaYS8jJ/PksRGa3cwz6+efAffcZ3SpBEARBEJzBbyJFd+7cibi4OPz000/45ptv8Morr+Cdd94BkLNYkvl66e20tDQAQKVKlVCqVCkRRH2MGjUojIaHM/XvqaeAv/6S6KEdO4BXXmFkYKtW9BQVCjZBQcD//gd8/z0QGAisXk1v3itXjG6ZsWRkACNHMj00LAx49VWjWyTkxt13M+oqIYGi3SOPACEhtAaZPp1+ya+8Qi/S63UTBQfYuZMeoufOAVWqMLMgMtLoVgnexAsvMGI0IYF9bNIkKdynYLOxeOWnn3Lc+cQTXJAWQVQQBEEQfA+/EEXj4+Nx3333oW/fvvjrr7/wzz//4Pnnn8fSpUtzrVj38ssvY9SoUUhJSTGgtYJedOrEQWjr1iwqNG4c8M47Bdf/avVqppumpbFAxuLFFA8EAaB49M8/QEQE04+HDGHqbEFE8STetIl9ZMkSRsoJ3kuhQkCvXrRPuXCBtiDt2lGQ2LyZC0D33cfq6RMmMIJrx46C+zzIi5UrKXIlJdEyYs0aoGxZo1sleBuxscDWrexTAPDzzyx+dvCgse0ymsxM4P33uUgDMDNn+nQgKsrYdgm+j8kElC/PzdfqAPhy2wVBEHxeFLVarZg7dy5q1qyJESNGwGw2o1SpUoiLi8PWrVuRmJh4y2fKlCmDGTNmIDU11YAWC3pSrhzw779qte1//wUGDuRkuKBw+jTtA0aOZKRUly7AH38wilYQstO6NYuolCnD1Nlnn6XP6J49jHwpCGRksKjMhg0URP/6C4iLM7pVgjNERAD9+/N+f/QovaUrVeLfdt8+YOFCRnC98AILxvTpw/vjjBlMwz9/3ujfwDjmz+f1n5HB70a8D4W8CA9nocaFC4GSJWlf8eyzqn9mQSMlBXj9dWDpUtqtzJjBwoYiAgl6EBYGxMdzCwszujXO4cttFwRB8Hn3KIvFgho1aiA8PByR13O/bDYb6tSpg8KFC+cqfA4dOhRPPPEECkk1Ab/AYuGgtGNHplYePkwvzUcfBR57zH890q5dY0r0998zcsFi4e/97rviFyncntq1WYira1dW+Z4zh1uRIizKFBcHNGrkn9dQZiYFtHXr+Pv9+Sc9KwXfpUIF4M03Gfl78CCwfXvO7cQJRkSfPctoeoACRq9eLI4SGGho8z2GzQZMm8bnBcCIv0mT/Pf5KOjL3XfTcuHpp2ldNHUqnyN9+gDNmhWM6yghgYLo4cNcUPv1V/oaC4IgCILg2/jFMKZ9+/aIup63YrfbYTabERkZiaCgIFzLZjL2999/o1OnTgAggqgf0qwZU72GDGFq5axZFD/atqUHafXqjDDydex2YNUqGvor7hAdOzIyqmZNY9sm+AZlygDr13NS99tvFAcvXWI00MKFnPA1aUKBtEULFtnwdbKyaK+xZg19VhcuZPq14B+YTEC1atweflj990uXmDmgiKTbtvE5MXcu0+5HjmTGgT+TmQl8+CGj2wAunEl0m+AsxYsDv/zC8dVzz3FRbcQIoHBh2hl16QJUrGh0K/XHauU9ZPx4jrlKluTzQwpPCYIgCIJ/4BeiaFQ2Ix+TyQSr1Yrk5GSkpKQg4Pry9ahRo/Dee+/hxIkTiI2NzVF8SfAfIiOZztS1K6OADh7M6X9VtiwF0po1KZJWqUKBxFc4fpyVTjdt4s9lywITJwI9esgEV3COsDBGVj/yCFNply8HFizgduIEhfdVq2hLUacO+9Sdd/peBGliIovwLFrE1M/AQBaV6dDB6JYJnqBIEYrf2QXw+fOBxx/ns2HQIAo899zjX/fQrCx1/803uQhisTBa9PHHDWuW4OOYTCwqdOedHIvMnk07ih9/5FatGsXR9u19ezHNauUiyooV9OBVnLiqVaNfuz+Kv4LxpKWp2Sv//QeEhhrbHmfw5bYLgiD4hSialZV1Q/xUsF03yIuMjMT48eMxceJEbNy4EaVLlzaiiYKH6dmTUW4//EDvwI0bgSNHKPacOEGRBGDKV+XKFH0efpgRAN5IaiojX3/6iZPdwEAWVRo+XLx7BNcJCgI6d+b22WeMpvvtNwqkW7cySmbHDuDLL5kueO+93l2YJSuLItDixYwWV7zvQkJYLKRzZ2PbJxjLAw+wwNBjj7H42Ecf8Xp55RXfEHISEoC9eynyX7nCLSkp52tWFjBzJt+/bZuk+wr6UqEC+824ccw0+OYbPi8OHOD25ZdAy5a83po1oyDv7WRm8nn3339cELxyRf2/QoWABx/k71usmGFNFPwcm00NevA1n3dfbrsgCILPi6JWqxUBAQGIj4/HihUr0L9/f1gsFkRHRyMmJgaDBg3Chg0bsGrVKjSWXJcCRenSwEsvqT8nJFAcVUTSDRtYxXj/fm4LFlAYfeQR7yhSZLWyXVu2UKBKSOC/d+vG6NAqVYxtn+CfmExAw4bcRo9mdPLs2cCUKRRh5s3j1qgR0L07Fx+8zU+uXz/VWgLgpPyJJ4DevTm5FYTYWGDJEt5LX3+dIsjevVxo8qahQloanwN793Lbt4/PrfzIHtHdpAnwySfe9XsJ/kFgIJ8D3bvzupwzhwLptm2MslyxAihalAvV997rfdFjyclc8PvvP3oOJyer/1e0KBdQHnqIkbG+lFUkCIIgCILjeNlU1jmUCNH4+HhUr14dvXv3Rv/+/QEAiYmJ2L9/PzIyMrBp0ybUq1fP4NYKRlOsGFOAu3blz3Y7RZ7164GvvmL68Jw5TLN9/HEO4M1m589z8SJw6hRT9P+fvfMOj6Lqwvi7uwkhhR4IvUnvEAQx9I4gICK9CBZUihVFFAU+FRVUFARFsReUolIERASlg/TeewkJLb3ufH+8DhMgZcvM1vN7nnlmNtnM3N1Mufe957zH3iIe8fH0fdu+nYOKxETtd3fdBUyfTlFUEFxF+fL0H3zpJUZefvIJ/dR27OBStChTjx94gN5yriY5mRXkV69msR0AuH6dUd+DB1MMrVXL9e0SPB+zGXj+eVop9O9PwfGFFyjgPPqoe4owXb3K6OYDByiCnjp1Z9SNamnRsCFQsiTFm/DwW9dFivCZBnDtaRMXgu9RvDjw9NNcdu2iOPr995zQnT2bRb769OGzIn9+17cvIYGe0idO8Lo6eZKp/1mJiKAdUe/eTAWW60YQBEEQfB+vfdxnFUQbNWqEQYMG4dNPPwXAYkuFChXC22+/jY4dO6JatWpubq3giZhMTAGrWJEd9SVLgLFjmfo1fTqjScePtz09XY2SWLaMaVhFizJ64v77uZ0Xp04xSunSJe1nhQszQqFzZ6Z6umMgIQgA0x+7duVy+jSrD3/+OSMyv/2WKZRTprgmgllRWORj+XIKPsnJt0bGzZ/Pa8ZfKosLztGgASeiXniB4s3PP9ND8OWXXeMzevUqfQvXrmXU2u0iaJkyTPdXl8jIvIsGZvUUFQRX06AB+1Hvvsvnw5tvUoScM4eZL08+SdHRnuvr5EleI6dO8ZpQ+28VKuTudX3xIq2Hfv8dyFJ79SYVKgA9elAIvfde70j1FwRBEARBP7xSFL1dEO3evTs+/fTTm76iJpMJAQEBeOKJJ+7wGhWE7DCZKGB26QLMmkVxdMMGYPRoduZLlsz5b6OjKYYuX04xFGD6/dWrjJT47jsKm716schTdmzbBkyaxMjQSpWAxx5jRflGjaSDLngeFSqwgvVrr9Gn8LXXmOI7ciTP2chILhUr6isqxcQwKnTlSuDcOe3nVasCo0Zpr7t0kQgfwT5CQnjvb9+eNiqrVvFe3L+/Mce7dk0TQnfvvlUIvftuPjNUEVSs0AVvJV8+4JFHOKn7/ffA66/TkmXiREY6jx6de9GiM2d4jaxZQzE0O0wm2mGoImnFitxnUhLF0PXrteurdm1eW3XqcKldWyxVhOxRFAVJSUm5vicxazqXIAiC4LV43bAxq4eoKoh+/vnn2YqfIogK9hIYyNSvpk2Bnj2ZZvXkk8DkyUDdure+99IlCp4rV2pROa1aUSBq3pwFXT76iKmQq1ZxqVmT4mirVloU2+LF9HuzWoEWLYBFi8TIX/AO8uVjlHXHjkDfvvRo3LyZC8A03kaN6GnYqJFj53VaGicoVqygib86uM2fn4LVsGG83jIzee0IgjP06sViYyNHMhr6+HFg0CAKLc5y/bomhO7adacQ2qcPo9X0OJYgeBKBgbQl6tOHxYrefptFjR59lNfc0KFa9PP585oQevz4rfvo3JkRpidPAvv3M2NAtSw6f57Piuzo1IlWGe3buyb6W/BuFEVB8+bNsXHjRnc3RRAEQXABXqcaWiwWnD59GrVr10bfvn3x2WefwSKhdILO3HMPozd79GDH/bnnuHTpwo73999TAFKrWrdtSzG0VSttH/37c9m2jYPsH3+kR9ybbzJFs3t3VgpWhZzBgzkIzy0NTBA8kcKFKVru2kVP3FWrWGDjyhVtQgBghGnjxvT4tFh4/Vit2pKZydR4dfvMGXqFxsdrx2rRgkLoQw/lnUIsCI7w1FOcEHvvPZ5/f/3F827wYPvtIVJTKdSsXHmrqA/wWlCF0Nyi5QTBVwgJ4STzww9TpPz1V0Zzrl7NybWdO2lhpGKxaJNuPXrcGdWpKPQF3bePIqm67NvHVPkBA9h3q1PHhR9S8HqSkpLsEkSjoqIQYqvXVh54c1CEN7ddEAT/xutE0czMTEyePBn9+/fHJ598IoKoYBjlyjGqZ+hQRn2++y6Fn337tIFthw5aZGhO3H038M03wNSp9NOaPZseV199pb3njTfoXyoRDIK3krVq/dixHJBu2ECRVC0edvo0l4UL7dt3mTIcRD/8sGs8SwVh2jRg4EDemxctYnXqf/6h5+CgQYz6zwnV83blSka8Zc2wjIzUhNDKlQ3/GILgkVSuDPzyCyeXx4yh/cpPP/F3ZjOLn/Xty6JMuXmym0wsjhQRwb9RUSfXZIggOEt0dDRCQ0NzfU9ISAhMOnTgQ0NpE+SNeHPbBUEQvE4UtVgsmDZtGgoVKgSzI6XBBcEOQkNZdGPyZHp+7tnDn3fuTDG0WTPb9xURwerYL73EQfZHHzFy9NNPOUgWBF8if34OUtu1YwGmK1eYDvnnnxSMTCYOWHNbChemeNS+vQxuBdfTsCEF/H37gLfeomizcSOXxo3pk5jVVuXiRYo8f/wBXLig/bxCBb538GD63wqCQDp2ZL/q44+BLVuA1q2BBx9kJXtnUJ8vguAsoaGheYqigiAIgnfjdaIoABQpUsTdTRD8CLNZKwqwbBk9sJo0cXx/+fIB/fpxURSJDhX8g2LFKHD27u3ulgiCfdSpw2J6EydSHP32W6bC//svq2xHRTGrQJ00A4DgYN7jhwyhB6LM4QpC9uTLBzz7rLtbIQiCN2BLcSu9IncFQfAfvFIUFQR30KMHFz2RZ7YgCIJ3UK0abU9ee42FYr78kj66u3bx9yYTI6OHDmXarwQXCYIgCLaSnMzaBQCwfDkn17wFV7U9IiIiz/dERUVh3bp1IowKgmAzIooKgiAIgiDYSOXK9IeeMIFe0Xv20FJl0CCgbFl3t04QBEHwRqxWFqlUt70JI9seEhKCqKgobNiwwab3b9iwAUlJSWJ7IAiCzYgoKgiCIAiCYCflytEbWhAEQRAEYzCZTFi3bh2SkpJyfV9iYqJNkaSCIAi3I6KoIAiCIAiCIAiCIAgeh8lkkshPQRAMQ6z/BUEQBEEQBEEQBEEQBMGHiImJQdeuXREaGorq1atj9erVDr939uzZaNSoEQIDAzFx4kSDW+46RBQVBEEQBEEQBEEQBEEQBC/k4YcfxldffXXHz0eOHImSJUsiJiYGU6dORZ8+fXD16tVs95HXe0uVKoWJEyfiwQcfNOpjuAURRQVBEARBEARBEASfRlEUJCYm5rkIgqAfycnJsFgseOutt9zdFL8jISEBv/76KyZNmoSQkBB0794ddevWxW+//ebQe3v27Inu3bujcOHCLvwUxiOiqCAIgiAIgiAIguCzKIqC5s2bIywsLNfFncV6QkK4eCPe3HbBWA4cOACr1Yo6deq4uykOk5CQgNdffx2dO3dG0aJFYTKZso3KtJU333wTJpMp2+9k//79eOihh1C5cmWEhIQgPDwcLVu2xJIlS+w+ztGjRxEWFoayZcve/FndunWxf/9+p97ra4goKgiCIAiCIAiCIPgsSUlJ2Lhxo83vj4qKQogLVb7QUCAxkYu31RTy5rYLxrN3714AQO3atd3cEseJjY3F5MmTcfDgQdSvX9+pfZ07dw5vvfVWjsXDTp8+jfj4eAwdOhQffvghJkyYAADo3r075syZY9exEhISULBgwVt+VrBgQSQkJDj1Xl9Dqs8LgiAIgiAIgiAIfkF0dHSe1cxDQkJgMplc1CJB8F327t2LkJAQVK5c2d1NcZhSpUrh4sWLKFmyJP7991/cfffdDu/rhRdewD333IPMzEzExsbe8fv77rsP99133y0/GzVqFCIjI/H+++/j8ccfv/nzbt26Yf369QA48fPzzz/jmWeeAQCMGzcOnTp1Qlxc3C37iouLQ1hY2B3HDQsLs/m9voZEigqCIAiCIAiCIAh+QWhoaJ6LCKKCoA979+5FzZo1sXnzZrRu3RqhoaGoUaMGfvzxR3c3zWaCgoJQsmRJp/fzzz//YMGCBZg+fbpdf2exWFCuXDlcv379lp8vXboU169fx/Xr1zFgwADMmjXr5utx48ahatWqSEhIwPnz52/+zb59+7KN2rXnvb6GiKKCIAiCIAiCIAiC4CZSUoCuXbmkpLi7NfbhaW23pZiWoijubqbfsHfvXiQkJKBv375o164d3n77bZhMJgwYMABbtmwx7Ljp6emIjY21abFarYa1QyUzMxOjR4/Go48+irp16+b5/sTERMTGxuL48eP44IMPsHz5crRr186uY4aFhaFHjx54/fXXkZycjKVLl2LPnj3o0aOHQ+/NyMhASkoKMjMzb9n2diR9XhAEQRAEQRAEQRDcRGYm8Pvv2rY34Wltt6VYVlRUFNatWycRwQYTGxuLS5cuIS0tDdu3b0fFihUBsIp5lSpV8MUXX6Bp06aGHHvDhg1o06aNTe89efLkzbYZxSeffILTp0/jzz//tOn9zz//PD799FMAgNlsRq9evTBz5ky7jztr1iwMHToUxYoVQ9myZfHTTz+haNGiN3/fpUsXtGjRAuPHj8/zvW+88QYmTZp08/Wbb76JL7/8Eg8//LDd7fIkRBQVBEEQBEEQBEEQvBJFUZCUlJTrexITE13UGsEdhISEICoqChs2bLDp/Rs2bEBSUlKe3rKCc+zbtw8A8Morr9wiOpYrVw7Vq1fHyZMn89zHwYMH0adPH5w6dQpfffUVatWqdcvrBx98MNu/q1+/PlatWmVTO/VIjc+NK1eu4LXXXsOECRNQvHhxm/7mmWeeQe/evXHhwgX8/PPPyMzMRFpaWo7v/+qrr7L9efHixfG7OmuRDcuXL7f5vRMnTsTEiRPzbLu3IaLobVy4cAHFihVDUFAQFEWR2SNBEARBEARBEAQPRFEUNG/e3K7K8oLvYTKZsG7dOpvEcVsiSQV9UCvPDxo06I7fmc1mhISE5LmPqVOn4v7778dbb70FABg+fPgtr3OiSJEiaN++vQOt1p9XX30VRYsWxejRo23+mxo1aqBGjRoAgCFDhqBjx464//77sWXLFtGodEZE0SwcOHAAderUwbBhwzB37lyHTrbU1FSkpqbefH17BS9BEPJGriNBcB65jgTBeeQ6EgTPJikpyS5BNCoqyiYhRvA+TCaTXZGftkQPh4SEiADlBHv37kXp0qVRokSJW36elJSEQ4cOoXv37nnu48yZM2jbtm2Or3MiLS0NV69etamdxYsXh8Visem99nL06FHMmTMH06dPx4ULF27+PCUlBenp6Th16hQKFix4S5p6dvTu3RsjRozAkSNHUL16dUPa6q9IoaX/2LVrF+655x5UqlQJR44csSmUOzumTJmCQoUK3VzKlSunc0sFwfeR60gQnEeuI0FwHrmOBME4bCmIY8uiEh0djYSEhFwX8ZEUVCIiIhAWFpbr0qhRIyQkJEjhJgfZu3dvtmLjl19+idTUVPTq1QsAhc6uXbuiWLFiqFmzJlasWAGAfpdr1qzBo48+irCwsDteX7lyJcdjb9y4EaVKlbJpOXv2rDFfAIDz58/DarVizJgxqFSp0s1ly5YtOHLkCCpVqoTJkyfnuZ/k5GQAwI0bN+w6fkxMDLp27YrQ0FBUr14dq1evdvi9s2fPRqNGjRAYGOhTafQSKQpg9+7diIqKwssvv4x+/fqhTp06+PPPP/HYY4/Zva+XX34Zzz333M3XcXFx0oEWBDuR60gQnEeuI0FwHrmOBME4Spcurev+QkNDxSNSyBV7vUd37dqFAgUK5Pm+Bg0a6Ca4+4r/raIo2LdvH5KSknD8+HHcddddACi8vf322+jevTsaNGgAq9WK+++/H4888gh+++03bNu2Dd27d8e+ffuwfPlytG7dGo8++ujNFPzbX+eEuzxFk5KScObMGYSHhyM8PBx16tTBL7/8csf7Xn31VcTHx+PDDz+8+d0AwOXLl++IrE1PT8c333yD4OBg1KpVy672jBw5EiVLlkRMTAz+/PNP9OnTB0ePHs02MjWv95YqVQoTJ07EDz/8YFcbPB2/F0UPHjyIhg0bYvz48Xj11VcBAI8//jhmzpyJLl26oGzZsnbtLygoCEFBQTdfq7NGkm4FZGRk3PR5iYuLQ0CA359+fo96Xdw+uyrXkWAv/nx/ketIuB1/vh4cRa4jQXCenK6j2zEiqq5p06bIyMjw2mszqw4WF+cZVdxtxdvavmzZsjy9RxVFQefOnW96YuaFreKpPXh79OmpU6eQkJCAyMhIdO3aFWPGjEFSUhJmzpwJs9mMOXPmAAC2bt2K5ORkjBkzBgDQrFkztGrVCsuXL3eqqrnenqIzZ87E9evXb6bAL1myBOfOnQMAjB49GoUKFQLAz9OmTRu8/vrrmDhxIsLDw9GzZ8879jd9+nQAuON3I0aMQFxcHFq2bIkyZcrg0qVL+P7773Ho0CG89957CAsLs7nNCQkJ+PXXX3HixAmEhISge/fuqFu3Ln777TcMGzbM7veqbc2tGJM34te9ZKvVis2bN+Odd97B2LFjb/68devWmD9/Po4cOYKyZcsiMzPTYY+J+Ph4AJCoAkHIhfj4+JsPkpx+D8h1JAi5IdeRIDiPXEeC4Dy2Xkd6smXLFhQuXFj3/boDnQNoXYo3t93TyOs68nRUQfnzzz/H559/jvHjx8NkMqF79+54++23bxa8OnPmDE6ePHnL9ZuRkYHIyEh3NDtHpk2bhtOnT998vWjRIixatAgAC0np9b/q27cv5s6di9mzZ+PKlSsoUKAAIiMj8c4779jkwZqVo0ePIiws7JZAv7p162L//v1OvdfX8GtR1Gw2o0+fPjfTLNRq87169cLs2bMxceJEtG3b1inT3dKlS+Ps2bMoUKCAIf41ahrX2bNnUbBgQd33rzfe1l7A+9rsTe1VFAXx8fF5pk9ldx150+cEvK+9gPe12dvaC+jTZmeuI3fhbf8rb2sv4H1tdnd7vfE6Atz/vdmLtNdY3N1eR66j+Ph4r/qOb8fd37mzeHP7vbntQM7tt/U68nS6d+9+M9p15syZmDlzZrbvK1OmDGrWrIk9e/a4snl2c+rUKZve17p1a5uifNeuXZvtz/v164d+/frZ0bKcSUhIuOPaKFiwYLZerPa819fwS1E0NTUVQUFBUBTlFt8Zk8kEq9UKs9mMxx9/HOPHj8dff/2Ftm3b3hRM7cVsNtudgu8IBQsW9KqHgbe1F/C+NntLe22ZVcvtOvKWz6nibe0FvK/N3tZewPk2O3sduQtv+195W3sB72uzO9vrrdcRIP9no5H22o6915E6vvK27/h2pP3uw5vbDmTffm+OELWXpk2bwmq1Yvbs2XjkkUcAMPK7QoUKKF++vJtb59k0b948R3/cV155BQ8++OAdliJxcXHZpuCHhYXZ/F5fw++qz+/fvx+9evVC69atce+992LZsmWIjY29+Xv1wdyuXTtkZmZi4cKFt/xcEARBEARBEARBEARBcI6AgAAsW7YMK1euRJkyZVC6dGm8+eabsFqt7m6ax7N+/XooipLt8sYbb6Bq1apISEjA+fPnb/7Nvn37ULt27Tv2Zc97fQ2/EkWPHz+OqKgolC1bFl26dEGlSpUwdOhQTJkyBYcOHQJA8TMzMxNFixbF5MmT8f3332PLli1ubrkgCIIgCIIgCIIgCIJvUaFCBfz666+IiYlBbGwsVqxYgYoVKwJgmnnWSvO3vxZyJiwsDD169MDrr7+O5ORkLF26FHv27EGPHj0cem9GRgZSUlKQmZl5y7a341fp8z/88AOaNGmCTz/99ObPZs6ciU8//RRJSUl44YUXcNddd930EK1cuTKqV6/ukWlSKkFBQXj99ddvqYzqyXhbewHva7O3tddRvO1zelt7Ae9rs7e1F/DONuuBt31ub2sv4H1t9rb2egre9r1Je43F29oLeGebsyLtdx/e3HbA+9sveAezZs3C0KFDUaxYMZQtWxY//fQTihYtevP3Xbp0QYsWLTB+/Pg83/vGG29g0qRJN1+/+eab+PLLL/Hwww+78iPpjkmxxQXWR5g4cSJWrlyJNWvWIDAw8Kb4OWfOHEydOhWPP/44xo4de0u1+Rs3bviVp4cgCIIgCIIgCIIgCIIg+Dp+lT5fqlQpHDp0CNHR0bBYLEhNTQUAPP744xg8eDDeeOMNnD9/HhaL5WbFMG82bRYEQRAEQRAEQRAEQRAE4U78KlIUAFq2bIlr165h+/btyJcvH1JSUpA/f36kp6ejcuXKmDx5MoYNG+buZgqCIAiCIAiCIAiCIAiCYBB+4ymqKApMJhPee+89DB8+HM2aNcM///yD0NBQAEBCQgIKFy6MIkWK6Hpcq9WKCxcuoECBAlLBXhBuQ1EUxMfHo3Tp0jCbcw5cl+tIEHJGriNBcB65jgTBeeQ6EgTnketIEJzH1usI8CNRVL1RREZGYubMmXjmmWdQq1YtTJs2DaGhodi4cSMuX76MBg0a6HrcCxcuoFy5crruUxB8jbNnz+Za0EyuI0HIG7mOBMF55DoSBOeR60gQnEeuI0FwnryuI8APRFGr1XqLMmw2m9GyZUssW7YM48aNw8svvwyA3qErVqxAxYoVdT1+gQIFAPCf4e/+pBkZGVi8eDEAoHv37ggI8PnTT8iDuLg4lCtX7uZ1khNyHQl54c/3F7mOhNvx5+vBUeQ6EgTnketIEJxHriPbyMwENm7k9r33Av/VyfZZ/O3zOout1xHgY6Lo6dOnsWLFCsTFxaFChQro06cPzGbzzdR5QBNJS5cujW+++QYnTpxASEgI8uXLh6JFi+reJvW4BQsW9MubVVYyMjIQEhICgN+HDNIElbxSPuQ6EvJC7i9yHQkacj04jlxHguA8ch0JgvPIdZQ3Xbu6uwWuxd8+rx7YYi3hM73kvXv3okuXLqhZsyYuXLiA+Ph4HD58GBMmTLjli1CjRpOTkxEcHIzKlSu7q8mCIAiCIAiCIAiCIAiCILiB3B1HvYRTp06hR48eGDRoEFauXInVq1dj9OjR+PPPPxEdHX3H+59//nlMmDABiYmJbmitIAiCIAiCIAiCIAiC4Ajp6cDHH3NJT3d3a4zH3z6vK/F6UTQzMxPz5s1DzZo18corr8BsNqNkyZKIiorCzp07ce3atTv+pmzZsvjyyy+RlJTkhhYLgiAIgiAIgiAIgiAIjpCWBowaxSUtzd2tMR5/+7yuxOvT5y0WC2rUqIHQ0NCbJqpWqxV16tRBkSJFshU+n332WQwbNgyFCxd2cWsFQRAEQRAEQRAEQRAEQXA3Xi+KAkDbtm1vmgsrigKz2YwCBQogX758SElJufm+VatWoUOHDgAggqggCIIgCIIgCIIgCIIg+Clenz4P4JZqayaTCZmZmYiLi0NiYuLNiqsTJkxAp06dcP78eSiK4q6mCoIgCIIgCIIgCIIgCILgZnxCFM3IyLjjZ1arFQBQoEABvPPOO/jggw+wbds2lClT5pZq9IIgCIIgCIIgCIIgCIIg+Bdenz6fmZmJgIAAnDp1Cn///TeGDh0Ki8WCQoUKoVSpUhgxYgS2bt2K9evXIzIy0t3NFQRBEARBEARBEARBEATBzXh1pGhGRgYsFgtOnTqF6tWr46+//rr5u2vXruHw4cPYvHkztm7disaNG7uxpYIgCIIgCIIgCIIgCIIgeApeK4pmZGTcjBBt1KgRBg0ahLlz5wJgsaVChQrh7bffxr59+1CvXj03t1YQBEEQBMH1PP00cOmSu1shCIIgCIKgH0FBwNKlXIKC3N0a4/G3z+tKvDJ9/nZBtHv37vj0009vFlUymUwICAjAE088cfNngiAIgiAI/sCBA9r23LnAqlXA6tVAuXLua5MguIpt24CVK4EnngDCw93dGkEQBMEIAgKArl3d3QrX4W+f15V4XaRoVg9RVRD9/PPPsxU/RRAVBEEQBMHfGDhQ2y5WDDh6FHjpJfe1RxBcSZcuwIQJwFNPubslgiAIgiB4Ol4nilosFpw+fRq1a9dGz549MXfuXBE/BUEQBEEQ/qN+fW27fHmu77rLPW0RBFdz5QrXJ0+6tx2CIAiCcaSnA199xSU93d2tMR5/+7yuxOvUxMzMTEyePBn9+/fHJ598AovF4u4mCYIgCIIgeAxvvQVs3sztnTu5HjbMfe0RBHeQL5+7WyAIgiAYRVqa1rd56CEgMNCY4yiKgqSkJJveGxISApPJZEg7XPV5/RGvE0UtFgumTZuGQoUKwWz2ukBXQRAEQRAEQyld+tbXbdoAlSu7py2C4C5EFBX8iZ07gWXLgL59gapV3d0aQfANFEVB8+bNsXHjRpveHxUVhXXr1hkmjArG4JWqYpEiRUQQFQRBEARBsIEnnnB3CwTB9YgoKvgLR44ALVvSS7d6deD++1lcT1Hc3TJB8G6SkpJsFkQBYMOGDTZHlQqegyiLgiAIgiAIXsSFC8DSpUBmZt7v/e03plkJgr8hoqjgD1y7RhE0IQEoUoRC6NKlQPv29Jf+4gsgJcXdrRQE7yc6OhoJCQnZLtHR0e5unuAEIooKgiAIgiB4CYsWaZFArVrlXUymXTtAsrgEf+KRR7ieMMG97RAEo0lP56TXkSNARATw+efAN98ADzwA5M8P7N3L66F8eeC114CLF93dYkHwXkJDQ3NdBO9FRFFBEAQ/ZNEiptSqVXoFQfBsUlKAkSOBBx9kRBAAbNgA1KkDfP21pEkKgspnnzF6rkkTd7dEEIzlmWeYJp8/P/Dmm0DRokC5csCYMcDPP7OfFxEBxMQA//sfxdEhQ4AdO9zdckEQBM9BRFFBEAQ/47PPKKx8+inw7LOuO+6pU8DTTwMdOwKzZ2vCjiAIuXPoENC0KTBrFl/3789ooDp1gKQk4OGHgT59ZJJDEABGRhcu7O5WCIKxfPwxnwkmE/DKK8Bdd936+wIFWHTp+++BiRP5vMjIAL79FoiMZITp8eNuabogCIJHIaKo4PdkZFCsiY+XSBvBd1EU4Px5YNo04PHHtZ9/+y2wZIlx535iIrB2LTBwIDvsH30ErFoFPPUUULIk8Pzz0ikXhJyIiQE++QRo2BDYs4dCzzvv8BouVw6YPh149FHAYgEWLADq1aOXnNXq7pYLgutRFODGDeDAAWDjRl4zp04BV68yzdjoYycmchEEo/njD0aDAsBjjwHNm+f8XouFViszZlBEbdsWMJv5zKhRA3juOeDMGde0WxD0JCiIEdE//8xtX8ffPq8rCXB3AwTBXSQkAHPnAu+/r3UGQkKAUqUo1mRd1J8VLcr3Wa1cFEXbzrqYzZyhLVQIKFiQ69BQ/lwQjCYzk/5Su3YBO3dyvWsXBRaV3r2B5GRg2TKge3egRAma8nfowHXZsvYf12oFjh4FNm/msmULsHv3rQJN48Y0/l+xgiLt++9z6dSJaV7dugEB8mQSPIAzZ4DYWKbhqsv167e+vnaN11u1akDt2kCtWlwXL26fj2daGnDuHAWcgweBTZt4DWWdMGjYkNFAxYppP7NYOOHQuDHw1lts8/33sz3/+59e34QgeAaZmXyWnT3L6+X8eW1RX+cmSgYHs0+WdQkLY98vOPjOJevPzWZGYqtLbOyt6ytXaHFhNgPDhtG/sXx5l301gp9w6RLPrblz2bfq2BHo18/2v69Zk167Awdywm3bNuCDD7g0akQv0p49+RwTL2rB0wkI8K9Ckv72eV2JDD1zQFEUmORp4JNER2uzpdeu8WdmMzsXSUkchBoRuWYy3doRL1SIPj8dOgBdu0rnWXCezEyKJjNm8Fy+HbOZ55naiVajWjZtAi5fBn74gQvA6AFVJG3cGIiLo6gaE8NBoLqd9WcnT1I0up3wcAo6vXtTrAGAAQOArVuBX35hp3zlSi5lyzLq4dFHgdKlDfuqBCFHMjM5YPzpJ9v/ZvXqW18XK3arSFqrFs9nVfg8dQo4fVrbvnAh5+jOChWAzp3ZEbZYsn9P9eq0w/jiC050nD6t/a5LF6BFC+Dee+mxWLCg7Z9LEDyFmBhO4G3enPd7w8I4MZ2SwmdcWhp/npzMxcgiwVYrBatvvgFGjADGj+fEuiA4Q1ISJ5DfeovnMMCIz+efd0y8rFwZePdd9sO+/54FmXbs4DJhAjN7evbkMRRFu3ayLklJ2nZoKAs6qX08QRAEb8KkKJIwrLJnzx4sWLAAkydPdngfqampSE1Nvfk6Li4O5cqVw40bN1DQz0ciGRkZWLRoEQCgV69eCHBxONjhw8B77wFffaWlUZUrx4Fmp04cCF+9mvNy5QqjS00miksmk7aor9W1KrCqolNmZt7tq1eP4mi3bvSOy2nw60vExcWhUKFCd1wfch3ZT1ISMGgQRUaApvt33QVUqaItlSpln26RlsZ0w3//BbZvZ5Spo+m3+fJRoKlZk0JQrVqMmsuNCxeYwr98OVMfAV5LDz7I9GBbxFF331/ciVxH+jJ2LG0mzGZmB4SGUmApUIBiiyq4qK8BRmiqIufFi47ZUeTLx4my0qU5KaFeP+oxbCU5GdiwIQP16vF6GDKkF1JTeT2YTEDdukCzZhRJmzXjvUHmgOU68mSOHaO4f+wYn20VK/K5Eh7OJet2eDgjO7OSnq4JOImJWv8sKYlLaiqfg6mpFFLV7aw/t1p5zauT2lknuNWlYEHgxAlOTuzcyWMHBTHN+aWXbo3y9lXkOnKc9HQK9pcu8Tly8aK2vXQpJ9UAPh+eeor3cr24do2WExs2sC/oiN2E2cwx1fjxHNMIjpPTdeTo+3yVjAxt3PPAA8ZkmiUmJiLsv45YQkJCjlXms74vOjo6z2r0ISEhdgfgueLz+hL2XB8iiv7H7t270axZMzz33HN44403bv7c3ojRiRMnYtKkSXf83F9vVlnRS7SIiwP++YcDxfBwdjKLFeOAMjs2beJs6G+/aQPVWrUYKXfvvcaLj4rCTrUqkGZdzp1j1MP+/beKUMWKAffdR4G0Y0ffLRiQ081KriP7iIlhyuyWLUBgIEWdtm0dP7fj4zmg276dy/nzFIYKFeK5WLhw9tvFinGw6uhDOi2N1/bixYxaACgSLViQu18WIKKoXEf6MHcuo5QB4NVXgXbt7N9HSgrTe9UoUDUq9No1ijclS/K8zrouWRIoUkQ/cVJRMhATw+th06Ze2Ls3AAcOcHB9O+HhFEebNmVUa40anFAJDNSnLd6CXEeeyZYtnLi+cYPXyTvveEdmzY4dvJ8cOMDXISHACy/Qv7FQIfe2zUjkOrKd335jCvv58xQ/Y2Nzn1CLiGAmTZs2xtpxJSczgnT9embOBQZS3A8K4lhL3c66HDvG8ZZKjx7MXLr7buPa6cuIKGobiYnaxHFCAscq+h/DflHUFqKiorBu3Tq7dCZXfF5fQkRRO9m9ezeioqLwxBNPYNq0adm+x1ZxVGZCc0YP0eL0aXYGTp6883cFC94aKVCsGGfsN2zQ3nPvvRRD69TxrMiYGzfYAdm8meusVbnNZgpc773nezOvElHgPEeOUEA/fpxRLG+8of95kpnp+sjlY8eAKVN4DVssLND05JM5X7ciisp15Cx//00RNDMTGDKEvoDeSlZRtHjxXjCZeD1cvcpJOHU5fDj7iKCAAKBqVQqkNWtq6+rVeZ/xReQ68jwWLwb69GGkZtWqwNtva97u3oCisF/3xRd8pgG8fsaPB0aP9s0BrVxHtvHBBxTIb0fNUChalOMYdbt0aY4FcgoA8QSOHWMq/t9/a+Jux44UR1u2dG/bvA0RRW3Dk0RRRVHQokULbMgqPORBbvvLvi0iitqDPdeH/4wac+Ds2bOIiopC//79MW3aNKSlpWHatGk4ceIEEhMT8fDDD+Oee+5BIRundYOCghAk5cAM4eRJCqKnTzOipkABRo3GxTHKUt0+ceLWvwsMpC9inz70ZvNEChViGzt04IB83z6t0Mbp08Cff2qFNJ57zvcLNsl1ZBsbNzKlMC6OnmVvv21MBI07rByqVAFmzgSmTgXWrAFGjqT36OzZTJ8U8kauI9s5dox+hZmZQOvWwNCh7m6RMRQtSn/RFi34Oi2Nn33/fk6wnDnDJSWFBZ8OHtRStVRq1aL3cP36rm+/O5DryD188gnv+1YrvXAnTrwzLd7TMZm0KOx164Avv2Sf7uWXaQ0zcya9tv0BuY6I1Qq8+CIDHQBm+TRvrgmghQp5bx+/ShXg9df5DPnhB2DVKuCPP7i0aMHsiw4dPCsoRRD0wmQyYd26dUjKrqhDFhITExEREeGiVgm24vei6O7du1GlShXExsbizJkzGDFiBOLi4lCqVCmcPXsWzzzzDIYMGYIxY8bYpeQL+nL8OGdIz5xhIZb339d8Cq1WzpbcuHHrEhfHjkW7dt7l42SxcLBZvz6rcZ8/z6JQGzcyLXrZMuDrr70jfUwwjgULWKwoPZ1RXG++6V0RNLYQHEzD/+rVgTlz6Ae8bx+wcKGc/4J+XLtGq5K4OF5L48Z576DUXvLl07xLVaxWWnKoPqlnz3J95gy/qwMHGJ2+aZNch4L+KAojy6ZM4ev77gOefda7vdPMZqBVK4pff/3FZ9mFC/Rf7N+fxRG9qZ8qOEZaGjMQ1IKWjz/O7DVfEwnLl+dzdOhQYN48+sWvW0cbjMhI4OGHee6LLiT4GiaTSfQiL8WLuxj60K1bN2RkZGD69OmoWrUq2rVrh19++QUlSpQAADz77LP49NNP0a9fP1SqVMnNrfVPjh6lIHruHAsjvf8+0+NVzGbN8L5cOfe10yjKlGFK9LJlwMcfA2vXcgD76acUxXytMyXkjqIw7eqFF7h9772cffe2CBpbMZmAvn0ZgTB5MgsA1KvH6LU2bdzdOsHbSU9nFsHhw5xoe+ON7IuR+RNmMwerERF3+sFducJ7z6lTjFJfv56ZG4KQHcuX817dqBEQFUXP2twmHNLSWMH6u+/4+uGHaWXhK/0ci4WRcq1bA99+y1TjH39kNsScOYwaFHyT+HigVy9mflksjBbt2NHdrTKWUqU4oTFoEPDzzyyoqXrVP/00+3D9+vF78bVJfUEQvAs/iYW4lYsXLyIhi2ljz549MXLkSAwdOhSvvvoqSpQoAet/VW/ef/99XLx4EatXr3ZXc/2aw4fZeTx3jqnv06ffKoj6CyYTI5k+/5y+bomJ7GT078/IHcE/yMxkFdvnn6cg2rMnhUJfFUSzEhnJiYCqVRkJ3r49xWFxxRYcRVE4MPvzT1oyvPWWRGvlRbFitOkID2fEaM+e9HsUhNv5+GOga1fgs8/oB12vHoWPLl04+bB2LSu/q9y4wajQ776jcPrii4w08xVBNCuBgcDw4fyOKlRgkZ3u3RlFeOOGu1sn6E10NMcyWZ81vi6IZqV4cVphzJvHdc2azEhYvZqFo0qU4L3i22+ZsSEIguBq/E4UPXnyJMqXL48ePXrgWhY16aGHHsLTTz+Nxo0bAwDMZjOsViuOHz+OGjVqoEaNGu5qst9y4AA7ERcuAJUqUQDx95nEMmWYZvXwwxw0/PQTULcuO1qC76EoFByuX6eFRI8e9CADaK0wZox7/D7dRcmSPP87dGCH+rnnODkgEwOCI8ycSY9ak4npulWquLtF3kFEBFObQ0KAf/5hJN9/88iCAKsVeOklYNQoLZuhUSOKQTduACtW0BalTRtm+DRpwmiyli0pkuTPz/OrSxd3fxLjqVGDEaJ9+/I+9NVXLAS6apW7WyboxbFjvAZ27AAKF2ZwR5Mm7m6VeyhcmB66s2bRQuCxx4C77uKE/++/81kSHg48+CDw668y6S0Iguvwu/T52NhYREREwGw2Y8CAAfj+++9R9D+lrXbt2re812w249tvvwUAVK5c2eVt9VcUhZ3EZ55hsYfKlWlIXriwu1vmGVgsjJ5o0oSzzefOUSQaMgSYNk3zWhW8g8WLgXff5ex4cvKtS0rKnZ3CwEAWafDX1PGgIH7+GjUYZfPDD1xKlgQ+/JDv6d+fEyjh4bwe1KVqVU6wCMKWLXzGAByYNW/u1uZ4HaqdxUsvMS0yMxP45hsKpYL/Eh/Pvsivv/L1I48AAwdS8MvMpEC0b5+2xMaygN62bXx/kSKMRK5WzW0fweXky8dJzqgo4J132Kfr1InC0RNPuLt1gjNcucKsltOnWT3+3XcZ3CAwtX7AAC5nztBCYvVqelgvWsTljTc4YSkIOZEvHwvYqdu+jr99Xlfid6Jo/vz5ERwcjG7dumH+/PkYNGgQFi5ciODgYFy5cgXF/sudW7ZsGVavXo0vvvgCa9euRenSpd3ccv/g7Fng0UdZqRBgsaFJk1iNUbiVmjUpHs+ZA/z2Gwekv/7K765pU3e3TrCF/fs5a56envd7zWYKfy+9xDREf8ZkogfVXXcBH30EnDhxa7TokiU5p/ROn86UacF/Ue1HrFb6Vffr5+4WeSeRkVpBnIULOfBfvJiDXcH/OHaMdgr793Py7oUXbk0RtlhYNK96dUaCKQrTilWB9MYNYMQIPuf8kbp1aTUwYwa9WJ98kt/Pa6/5poWAr2O1AoMHa4LojBmS7ZYT5csz2GPIEGZF/f47vYgnTGB/V7x2hZwIDGT2pL/gb5/XlfiVKGq1WlGuXDnUrVsX/fv3R+nSpfHRRx9h4MCBUBQFdevWxSuvvIKgoCBs2LABW7duxbp161C3bl13N90vmD+ffkqJiZz9eOwxCh/+UgXYEYKDKfB06MBo2hMnOCu9fj0FZcFzSUtjhzk9HWjcmMJMvnxcgoK0RX0dECADo9upX58+uzdu3CqKjhwJXL3Kn9+4QfuBK1c4OHnmGQ7OR41yV6sFd/PCCxRwihfn+SDXleO0aUOf0QkTWAStSRNOSjRo4O6WCa7kjz8odCYk8HyYPJkFIXPDZKIAWrIk+y0C+3Rjx9Jj8euvgYkTKYzOmOFfVjm+wJtvUtzOl4/BHSKI5o3JxCyEMWMoKv/2G/vG//7LQBBBEASj8CtR1Gw2o3Dhwrh+/Tq2bduGhx56CEFBQRgxYgQuX76M0aNHI+i/srNvvfUWrl69ejO1XjAORWGkiZoiUbMmMG4cZw4F26hVi/54Y8cySqN1a2DzZkZkCJ7J5MnAzp30VBs3Tgq8OIrJRGuNQoWAmBj+rFu3O4UuRaGA+sMPwOjRHGA++aTLmyu4mYULgU8+4fZLLwEFCri3Pb5AvXpM9R0/nmmQzZrR77p7d3e3TDAaRaHf+9ixFDFq1uSzzR8LYuqFycRIoMKFmQkxezZtCb78kpOjgufzxx/A669z+9lnxa/aEUaNAk6eBPbsoZ/+li201xCErGRkACtXcrtTJ9+/R/rb53UlfhWDp1aUDw8PR3R0NABg/vz5SElJQb169TBjxgxcuXLl5vtFEDWe9HRGhKqCaO/enBEXQdR+goPpxVW1KiPj2rcHTp1yd6uE7Ni4kRMBAIsFiSBqPCYTrTn69uXrp56i9YTgH1y/zmdN79583bs3078FfShThh6/kZH0Qu7Zk9kLUijDd0lOZrrr889TEO3cmfYkIojqQ8+ewKuvcgLvu+9o+WGL1Y7gXg4d0uwhunbldSHYT0AAI2wjIoCjR+kVn5np7lYJnkZqKgMhunXL2TYrNxRFQWJiYp6Lp+Ds5xVyxq9EUfN/edgdOnRAbGwsBg8ejNWrV2PVqlUYP348jhw5gqeeeuqmeCoYy/XrrC46dy5T5J9+mmmvkiLkOGFhNHKvUIFm/e3aARcuuLtVQlYSErRqzR06AK1aubtF/oPJRM86VRgbMQL44gv3tkkwnl9+YTT955/zdffuFEgFfQkL48Tc/fdTEHjhBeC++xg9KvgWZ8+yWvx337H/Nno08OKLUvhBb9q2ZQp9QACjr/v2pfWO4JnExlIITUgAatdmGrjgOIULA//7Hy2kVq5kkU1B0AtFUdC8eXOEhYXlukRERLi7qYIL8CtRVCUgIADjxo3DunXrsHTpUjRu3Bi9evXCpEmT8M4779wUTwXjOHOGlTZXrwby52eFwZ493d0q36BwYVahL12aHqMdOrCjJngGzz9PI/kSJaTD7A5MJkaJ9urF148+Su82wfe4cIERO716ARcvAuXKMZLt2WdFvDGKgAB+v6NHsyDAihVAjRpMAZb5Zu9HUYBvv+Ukw7//0v5l6lReY+LNawzNm9OSIDCQEzwPPigRQp6IGiF/4gSLzb3xhmc+Z9LTgT//ZFEv1XLIk6lalRMuAO81P/zg3vYIvkNSUhI2btxo8/ujoqIQEhJiYIsEd+JzTgSZmZmw5BFqOGzYMMTGxqJNmzZo1KgRFEWBxWJBbzV8SDCc1q0ZaRAeDrz1Fh96gn6EhzN1cfRo4MAB+o789Rd9FwX3sWyZlrI9bhwjqwTXYzLRryozk0b+w4YxQn3QIHe3TNAD1T/22WdZuM9iYerd4MGeOUj1NUwmimSNGzNzYf9+TkT89BP/L+Kv551cugQ88QTvmQDF7tdeowAkGEuzZizc8+qrwNKl9Fj85RfaJgnuR1GARx4BNmwAQkNpj1S4sLtbdSsxMSyCt3SpVpjy55+B4cOZPRMY6N725Ubbtgwm+OEH9teqVxf7G0FfoqOjERoamut7QkJCYJLZP5/Fp0Iijxw5gunTp+PixYs5vicjIwMAMHbsWDRu3BgA5AR3A5cvA5UrsziDCKLGULIkhdHChYEdO5jS40G2KH5HbCw7zQA7oA0burc9J04AP/7IaB9/PC9MJkbqqqm+Q4dKBIIvcPQoB1CPP87zunp1FlZ65BERRF1N+fLAhx9yAiJ/fuDvv4E6dfhcEm847+Knn3gt/fYbo4EfeYTFHUUQdR13302xLX9+phJ36+afz25PZPJk9h8sFvpgVqjg7hYRRWFBz9dfp/XCt99SEC1QgNduRgYn6h95hH1BT2b4cOCee2gf0bMn8F9pEEHQhdDQ0DwX0Yt8G5+JFD127BiaNWuGa9eu4cqVK3juuecQfpvbu6IoCLitTJfVapV0eRfx8cdaBzoyksWVJArdWMqXZ7rJs89yBvuBBzhTHBTk7pb5F4pC/8roaHaW3e1nuH49O+7/zREB4CRFnTqsHlyyJKONixXTIlEUhelh169ry5UrTFFWl4wM+gR37uwdVb3NZuCZZ5jWu2wZIwktFq0Yk+A93LjBSbaJEzloCgriIOrBB431qY6LA44cocgeEMBjBQRo21lfBwUxOtyffLMtFv4P7r2Xti47dtBr9OefaVtRo4a7WyjkxrVrjA79+We+rlKFWQ533eXedrkSq5XPu/R02t64c1zcqBHwzjv8H/z1Fz17ly71juetr/L993zuAOxre0IE45UrwD//cBLj9Gnt5xUrUlyvXp39n927mUp/9iwwdix9gp98kn1AT8Ni4bjxqafY3gcf5DUgk52CIOiBT4iiiYmJmDJlCrp37467774bo0aNQkZGBl588cVbhFFV4Z86dSpSUlIwYcIEEURdxK5dwEsvAd98w9eTJnGQ6Ksoiuf4a1Wpwk70888Dq1YBH33Ezo/gOmbOBBYt4jn/yivu68SdPs2oANVCJyKC3mTXrzNy9MQJYPHiW/8mJIRLXJxtBR5mzWJkXlQU/WybNvXsTqvZDDz3HCPXVqwAHn6YhXgkLdHzURQO/ObOpWij+uxFRvJ/Wrq0ccc+dw5YsIBietbJhbwwm2ljUqgQUKQII/kLF9a2ixTRbDUUhYKMomhL1tdBQRzceoMNR6lSFEV//533w61bGZ29ZYu7WybkxogRwPz5PG8HDuTEkSen2QJAcjIn/g4e5DUSHMxnWHBw9ovJRBEpJoYZHbcvV65okc3h4czyaNCAAqU7xKN69TjZ/dJLvP8NG8b/kaf0Of2F5GRgwgTg/ff5ul8/ZmS5i7Q09t9WrGCquUpAAM/Xu++mqJ+VBg04MbV2Le/J//wDrFtHsX3AAGOfoY4QFkav1qeeYqDHl1/yHiUIguAsPiFLmc1mREZGolixYujbty/Cw8PRr18/ALhDGL169Sq2b9+OU6dOYeTIkShatKi7mu1X3J6W4emRMopCEejSpVuXq1c58E5NZQck6zrrdr58NMfv0IEDdHd/3lq1GJ04YwYHpSKKuo5VqxiNCPB/4A67iKtXga++YkSJKtg3bQq0b89zMz6eIs+ZMyxIEx/PJT0dSEriohIQwAFmaCg7qIULA0WLUsyJjwe2baM9xrp1XMLCgFateC3UrcvBtadhNjN6bcUKRsMmJIgo6slcuMAowy++AI4d035evjy9Qzt1MkYgUBRgzx4KEBs2aD8vXJhCkdXKJTMz9+1r17icOqVPu+66i9dW3boUTG5LkvEYTCaKVKp43bmze9sj5E5sLCfzAFoeNGjg1ubkitXKqLeVK1nA056JClsxmfidrFrFBaDY36ABhdKGDV137dWuTb/ep58GFi6kODR8uGuOLWiTOocO8fX997svA0id0P3mG/a9VEqX5vOgfn1aLuRE/vy8FzdsCPzxByfHly3jWKFTJ+Chh1hQzWS69bmqvlZ/Fhzsmgnw8uUZJfrNN8DmzSKK+jv58nGiVd32dfzt87oSnxBFg4ODMXTo0JsGuX369IGiKOjfvz8URcG4ceNQrFgxZGZmwmw2Y9asWUhNTRVB1IVkHbh6GsePM6Xv4kWmN6sCaFYhyF5SUpiS8uefFIvataMAVa2a+2bzmzThesMG+lDl4Sct6MCRIyw4YrWy0/nQQ649fnIyI+i++04bJFavznMx6+CtQAGmzdeseevfp6ZSIExNZYc3NJTiT27ncOPGvI727AH27qVQumwZl4gIXgsdO3qO55ZK1okLRXFfO4TsSU/nIG3uXJ5LaiXz4GB6iN53H89fI+6vGRn0w5w/Hzh8WPt51aosgFKxom3HzczkNZmYmPuSknLrgFPd9+0/S0qiuHr8OJdff+X7SpfmAHfIEL72lMyFv/+mJ6KiMCVbTTkVPJOff+Y5W7Wq5wqiZ85QyPnzz1s9BosU4bMO4GR1bovVysm7ggX5LCxQQNsuWJBLWBi/i3PngJMnOaFx7hz7jRcvAsuX81jlyrGv9fDDxkdw16pFIXTOHGDkSKBFC/HoN5rUVPqHvv02z5uiRTmh2qyZ69titTLC88sveS4CPGdbtOC5YW8fPyKCkeBnz/Jeffw4xdYVK2z7+4AAZqS5YrJLLda3Z4/xxxI8m8BA3v/8BX/7vK7EJ0RRADcFUVX47Nu3LxRFwYABA2AymfDMM89g6tSpOHXqFObNmyeCqIvxNFE0IYFeNL//fusg93bUSDh1KVCAMzOqR1xg4J3bgYH0t9uzh1V3r11jmuWCBZzh7NCBopSr067KlGGnJzqaqWWdOrn2+P7GtWuMHkhIYFTHs8+6TpjIzOS5/dVXjBIF+P/v0ME+MTIoyDH/2YgIHqtdO6bs79nDVMboaBYj+OEHDuYGDfIMsUbwXC5eBKZPZ2RoVtGjTh0Koa1bGxfVm5DA6OpFi5haC1A8r1+fBR+KF7dvfxYLnyl6iiXx8RSG1CU6mpG0V65ooujw4awSXrmyfse1l02bmPZotVIw+vhjufY9nW+/5bpDB/e243bi4oA1axgVevCg9vOgID5r69enOKn3+WU2A5UqcQEoqJ45Q5H05Eneq86e5bJrFyM5jR5q9O3L7IydO5nuvHGj59sbeCtJSUyPX7uWr9u1Y7HGggVd2w5FYYTk3LlamnxICLPT7r7beWuycuXYNzt3jun0J05ok5C5TRhnZNCq6/JliqtG3t9VT+P9+3lcX7ZjEwTBNfjcbcRisUBRFFitVvTr1w8mkwmDBw/G4sWLcfz4cWzduhVBUmXG5XiCKKooTK/6/XcKoqpHlNnMWcfixW8VQAsVcrxzWaAAULYshcfjxykKHTrEDvTcuVzq1dOEI1ek6ppMjB5asYLpZSKKGkdKCivMHzlCD6fJk12X5rB7N/DBB5q5vhqpXKuW60WIrIPI++7j97F7NyuEf/EFr4exYz0vBUQiRT2Ds2cZ9ZL1XO7YkedS+fLGHVdRGCX3+edahHVoKAecjRt7VpR9gQIUgmrX5uuUFA5mL1zQ3nPpEkXRTz5xj//o9u2sfpyRQd+9zz/3TBsNQePoUQovZjOfH57AjRt8bixdqok0JhP7b/XrMxPHlYJgvnw8thq1lpxMcXTJEvb7Ro+mj65aYNQIzGbg5Ze16uEffcRoPUFfUlOZsr12LQXIl15iUSJXs2sX75/79/N1YCD92++5R/8CqmXLUmjPDbWvpCgcV6k+n9HRDAQwSqwsWZLjpuRkBraozz/B/8jMpFUXwP6iu+3qjMbfPq8r8TlRFNAKKimKgr59+2LOnDnYtWsXduzYgbp167q5df6HorhXFI2JYUTB8uW3DhSLF6dIWK+ecYNci4Ud9WrV2Kk6cIApxSdPUijdswf49FOgWzegZ09G2BlJZCRF0T//NPY4/kxGBjuSf/3FTtsbbxgfLaLy998UYK1WHrtVK4o4nvDQDAzUxJt//+XkxJ9/Mrpm8mTXfUeCdxAdzYj606cZ5TxiBFMUjY4ISU1lEZPVq/m6eHEet25d74hGyZ+fIk3WNNqCBYHz5/m5Jk507eTI7t0sLpeeDjzwAH3gPOF+JOTOd99x3bix++/NVqtWoEv1o42IoBBat67nFBoLDubkY8mSjLK9cIGRhO++q0WXGkHx4rSjUK/vhx8GihUz7nj+RkYGvapXrOD99e23ed65kuPHOaml1mewWOgLHxVFkdZdZLV2ad+ewSTLl/N6jYnh+WhE+8xmZj7s389xlIii/ktKCtCmDbcTEjxr0toI/O3zuhIv6OI7hslkQmZmJsaOHYs1a9Zg165dIoi6iUuX6JPm6sIlhw9zxnLrVm02MzCQnZmGDTnQduXgMChIM+OPi6M4un0706znzQN++okiVu/exkX1NWrE9c6dLBjgqQU5vBVFoXjzyy881954w3UeX0uWaFVQa9ZkBfXczPXdSePGHLTNm8dO7VNPAW+95d70XoDXnFrZW3AfV68yiv7IEYof779/Z9VcI4iJAV59lcc1mYAuXXiuenua9wMPMLron39YlKV3b9cc98ABRrGlpjK6d948Se31BhRFE0XdnTp/6BDw4YdaQZsSJXhdVqzo1mblStGirAj/3Xe8pzz5JO9htWoZd8xOnXhtnzjBScYPPzTuWP6EaveRtU/nyqFkejrw/fecTFK9oSMjGaVaoIDr2mErd9/NSbgFC2jr8PTT9JE2Yqxx113sP+7eTdFaEATBGXw+gal27drYsWMH6tWr5+6m+C1qlKgrBrUqhw4xdWnLFnYkypcHevSgIfr99zMtxJ0D3YIFOcM7ahTTCStVYjvXruXPnnrKmAqqRYtqwtOSJfru299RFODFF5neZzYzXVUVoY0+7vffa4Joo0YUPTxVEFWpVAl4/HGek9HRFJM3bXJ3qwR3ExfHQg179/LceO891zw7DhxgtNWRI5zAGjKEAzxvF0QBFl7q2JHbs2ZpqZdGcvQo74fJyUy/XrjQ82wyhOzZuJHiWnAwfQrdwY0bTD1/8kn25wIDKfyNGOHZgqhKwYIURsuU4aTA009rUX5GYLGw3wjQr/fIEeOO5S8oCs+/77/n9ztxIgVJV3H0KJ9JX3/NttSowXFN166eKYiqVK9OITl/fo7/Ro5kdpzeqL6iUmxJEAQ98GlR1GKxYPjw4WjgqWUz/QRVFC1d2jXHO3GCHdD0dBaVGTWKndMGDTxvUGY2swMxZAg7Pw0a8GeHDnFGun9/dshu3NDvmG3bcv3xxxIRpyfvvMNBHEDx3RWDSauVIsfnn/N18+a0YvAWv75ixYBHH6VAmpEBjB9PL0d3n5fuPr6/kpTE83fbNooK06ZRVDCaFSs42Lx6lQKstwgv9tCkCSPVFAWYNEnfZ0p2TJvGDJEWLYDffvP8SRpBQy2w1LKl6/9vmZnA4sUsILRsGX9Wrx7T0O+5x3uebQBF5SFDOBGdkUEfyr//Nu54kZH8jjIzOSEhOI6iAM89B8yZw3Nu/Hjg3ntdc+y0NE6ujxjB8UxQECe6+/Shr7Y3UKYMJ72LFWPhpREjmKGmJ6oounu3vvsVBME/8dn0eRWTL4R5eChXr7ICqNXKToPFwvXt2599xvcbaTavcu4cZyXT0vhQ7t9ff/Nxo4iIYDRr+/aMKNi2jSnun3/OKuJPPUXfUWdP6W7dOPO8fTsj81zV0fNl5sxhmijAyIIuXYw/ZkYGPcT++IOvO3ak96G3ERwMDBxID6odO4DZs1mA6emnXZ9qq6bPC64nNZVp3uvW0SNp6lRjffgAXkNz5gDz5/N1jRpsg6dNnumByURLjehopvS+8Qa98Yzw9zx8mJFqgYGMEM3O88pqZTsuXuQ9oHp1/dsh2E9qKiemANemzisKo8OzRjlGRBhfVM1o8uVjP/SXXxiNPmkSxbZu3Yw53hNP0DLqt98owLZqZcxxfJ3XXwemT+f2Cy9owQRGc/gwJ9jVyMpatXgNeKNvYJEiwPDhtE05e5bf47hx+t1X1Ky3CxdYN6JgQd6/0tK0JTWVk3OJifQeHjrUO7zBBUFwPXJrEBxmyBBtJt8WjI4U3bqVKcupqexMDxzoPYJoVkJD2ZGNimKa4+bN9GX96CP+/oEHnNt/oUIUXpcvp9gqoqhzxMZSiAdYYKlPH+OPmZ4O/O9/FJBMJorp9esbf1yjsFg4SCxenCLvsmUsLPD66yxa4SrUCYfkZNcdUyBz5vB/nz8/PciqVTP2eNu3AzNmaJXtW7Xi4svzqEFBwEMPcaLy33/5fRsxgaNWRq1ald5yFy9qy6VLXEdHM6JNZeNG75zU8TUWLKDPeXg4M1dcwdWrFIK2buXrwEBaLtx9t3dFhuZEQAArl+fPz4m/997jtWiE6FyhAp+lixdzYklEUfv55x/2rwBGKLtikjsxkdGhv/zCCYKQEIqh3l5AKCSEY0V1UuCtt4By5TgB6SzBwRxXXrhAyx1bCA2lZZkgCMLtiCgqOMS1axTVAM103Grlw9xq1bYzM7kuUIBpdEaQmcl0r6+/5uvSpSlOubqwk94EBFDoqlePnbS1axlFERnpfOREgwb8/xnh8+NvHDnCiLMSJZgKbjRpaYw22biRA8Y+fXwjyspkYupfsWIcmB86xFn9d95x3eD8rrv4//znH/cXffI31q/neuBAYwtZXL7MKtaqcBcSQo82I4ugeBIREUDr1vSs/ukn+jTqLTw1aQL8+CMHwarPYXaYTJwQycigICaiqHvZu1f7f3XvbkwU8e1s2sTCQCkpPA/r12dUnqdUlNcLs5liZWAgve7ffpvPOiN8x++5h6JodLT++/YH1Oy2zp2dD0LIC7WWwMcfA1eu8Gd16/K+7I3RodkREMD0/wUL+EyYNYuFwPSYgOzdG/jhB15fAQG8vtS1up0vH685gJMGgiAI2SGiqOAQy5ZR+KxUSYtgzAtFYbqcnty4wTRA1cA+MpIdGV9KjzCZ6O119iyj5956i4N6Zz5j0aJcX7qkTxv9mTNnuC5Z0vgos7Q0RkNv2cIBa79+QJUqxh7T1VStSguCBQuA8+eB55+nCOwKj9amTSmKLl/OQgGC61D9xowU+E+cAMaOZWSayUTxrnVr//O7bNyYwv/p07yX6C1G1qvH73nZMmYmFCvGZ06xYtp20aJMr1TtC9T7qOAeDh5kPyMujlFcvXsbe7y0NOCTTxhBBlCsf/BBZgv4KiYTxa6EBGYBjRsHzJ3LyDk9Ue0/JOPBfm7c0Owjunc39ljx8cC772oTgkWLcoLOFydk1XP/8GFOvvz6qz6C8wMP5L2fQ4f4nCtUiNHngm8RGMjrSN32dfzt87oSH5KOBFeidmTdVZkU0PyZLl+mQHT//d6dQpwbqh/cxx+zU/Httywe5SiqWbtEEjiPOpg3ukJ2SgowYQInACwWRkP7YucZAAoXpii5cCE7tK+9RpHF6DS2e+7htbVyJaPXfGlyxZOJj2elXYCiuBHs20eBPS2N1+qDD7qmqr0nkj8/hdFNmxgtakSEZufOtqU0qv8DEUXdx9GjTFe/fp3X37vvGptpc/IkJ7NPnODrpk1p6eMP91uTid7wcXGc6J42DfjgA32jtVXbKBFF7efHH/mMqFRJnxTvnDhwgBHS0dH837dowfGUL18DBQvyPvPHH7SuKV2a177RbN/OdZs2vv39+iv58nF84K0kJibm+Z6QkJCbNXK8/fN6Mj7g1iO4muRkFkUB6HvpahSFouzo0RREixVjlUNfFURVChbUZq6//ZadKkdRI0VjY+lPKTjO2bNcGymwJCez+um//7JTN2iQ7wqiKgEB9D9s0IDX/Lvv0rDfSKpX53V24wbw/ffGHkvQUKvHFi9OQVxvtm4Fnn2Wg91y5Si4+6sgqnLPPRRodu/mxIO7iIjgWkRR93DyJNPVL17kM2XqVNodGYGiMELssccoiObPz8k9X8vuyYuAAKBXL6737AGWLNF3/6oompKi7379gS++4LpLF2MyfxSFkaijRlEQLVKEtkutW/vHNXDPPVqf7tVXmf1mNKoo2r698ccSBHuJiIhAWFhYrkuLFi2gSBVYwxFRVLCbP/9kZ6tECeOLYdzOlSssvvLRR0zfr1WLHWx/GeDWrk2/IUVhGr2jkQAFC3J22ghLA3/D6EhRVRDduZOpEoMHAxUrGnMsT8Ns5kSAWgzs00+5GNU3sFiY4gUwEvuTT4w5jnArauq8EVGia9YAL7/MyN8qVTih4O1+03pQsCDT3AHjJxtyQ0RR93HmDKOnzp2j1960aUwxNYIbNyiCfPghfeCrVGGBQqMiwz2dwoU1kebjj/Xth0n6vGPs3Qts20Zx0ogiWHFxvAZmz2YfpnZtBnSUKqX/sTwVk4neuhUr8pk8frzmpWoEKSnMEgGM+Z8K7iczk9fttm23Fm/0ZEJCQhBlR1TZhg0bkJSUBMA7P6+3IKKoYDe//sp1VJTrKvUqCn3+BgzQKm536kTfK2+sMO8MXbpwQHv+vOOijcUiKfR6YaQompxM37FduzRB1NkiW96GycTOrDqAnDePg3ejOgMjRrDTrij0Np00yTgRViA7dnCttz/ukiVMUbRaOQDt108TDAQtbf6ff1jB1x2oouilS0Bqqnva4I+cP88I0dOngbJlWRFd7RPozfbtwCOPaMUBO3ViX87XiinZy91387tPT2cKvV7PGUmfdww1SvTee/XPWNi/nwEc6jXQtSstXPzNzxrg+KNPH2b5Xb4MvPKKcVHNe/fy+ipXzn8nYHydlBT6wzdp4j3R8SaTCevWrUNCQkKuS3Q2A3Rv/Lzegoiigl1kZLCqJeA6P9GLF+mf8e67TH8sVYqzq2r6n78RHAz06MHtxYu1qor2og6ApNiSc6jp8+rgXi9UQXTPHgqiQ4boX5DBm4iKom+wyUT7jkmTeD/QG4sFeO45CtAAMHEiI5pkRtY49I4UVRTaH7z/Pl9HRjJd1RXVtL2JiAgK0YrCwmbuoGBBTcQ5d849bfA3Ll2it9/x4+xPvf8+BQq9URTgq6+AF15gNFh4OIUhf+273Y7ZzGea2Ux/3zVr9NmvOvGTkiITeraSmkpbKkBf73KrlRO5qt1X0aJMl2/c2L+vgeBgTowEBbFOwltv8bvSm6yp8/78fQueh8lkQmhoaJ6L4DpEFBXsYuNG+lAWKGC8h2dmJgdqQ4bwwWax8MH26KOs9O3PVK6sGZS/+y5T0+xFKtA7T2KilvqjZ6RoUhLw0ku3CqJly+q3f2+lUSP6jJrNjBgfN47/A70xmYDhw4ExY7g9ezajDCWSTX9SUxlFA+gTKaoojKD//HO+btGCUTl6FjLxJdRo0SVLHHuOOIvJJMWWXElMDPtRhw9TFH//fWMqvmdmMqL/66/5OjKSk9n+3ne7nRIlgJYtuT11qj7XYNbsKXlm2caSJZpwr1eF8hs3GAWpWv7UqeN/6fK5UbQohVG1P/fZZ/ofQxVFJXVeEIS8kGGCYBdq6nyzZsZG3Zw5w5nVjz9mdGqFCkxljYqSwa1Ku3bswF29ytQ3eyMCRBR1HjVKNCQE0GtCTxVE9+6lIDp0qAiiWalZk76QgYGMMHz2WVZNNoIHHgAmTKDH2IIFjCC5etWYY/kr+/fzHl+woPPR1pmZFBZ+/pmvO3ZkirBEiORMpUoUqjIygN9+c08bxFfUNURHUxzYv599h/feM0akTEkBXnuNEf2qh2C3brxnC3fSvDnF0ZQU9nmdJatFiKTQ5016OoMLAFo76DG2OXSIUdGbN3PM0q0bsxX8ze4rL8qX1zLf5s0Dli3Tb9/XrwPHjnG7bVv99isIgm8i8pJgE4oCzJkDzJrF10amzicnM3314EF2ort1ozBkRHqXNxMYyE6WycRZ1r177ft7VRQ9eVL/tvkDJ0+ygijAQb1ewsunn9IYPl8+VskuU0af/foSlSrxuwkKAo4e1e5LRtCmDfD220z3WrOGnfhJk9wTVeeLqIOgKlWcu4YUBZg+nd7TJhMHWmoUpJAzJpNWyOz3393TBlUUHT8emDuXAq2gL+++S/uV3btpnfPee8Y8WxSFExMbN2regZGR+h/Hl7BYmEYPAKtWOV+ROyBACx6Q51TefPEFi5aEhWkCnTNcv857WUwMxy2PPcZrQCbnsqdePaBVK26/9x5w6pQ++1UzUGrX1t/eShAE30NEUSFPYmMZMTViBFNxmjQxdrD5669MYylcmKKTdCZyplQpPvABzZfPVlT7g19/5Uy5YBuZmRRfatUCVq+meDl0qD77vnFDE4n69AFKl9Znv46SmclCHHv3et7gqnRpptIDTJEy0jstMpL/84oVma4/cSKjd//3P0lPdIbjx4E33uB2587O7eunn4ClS7nduzfQoIFz+/MnKlTgOjbWPR6E99/PQeuFC7THqV+fftnih6gPU6Yw+yA9HahenSnzRhXs++MP4K+/2GcbNAioUcOY4/gaZctq9iFqyq+jmEzAXXdxe+NG5/blD3zzDdeDBztvJaEovL6uXeO+HntMLCNsoVUroFo1bXJTj3t/cDDXRnjPC4Lge4gomgNWIxyfvZBVq4C6dZlWFxjIFPYpUzgTbQSJiZoHVatWTKkUckcd3OzbZ9/fRUYyYiQmBli5Uv92+SqPPcaU7ZQUDt7nztVmuZ1l6VIKkSVL0jfW1SgK7RQ2bmShmnfeYaGMRYvYUZ01i4Pekyc9o/BQ+fKMiLl61XgbiGrV+L9+7TWKSAkJ3G7Txn2Vu70ZRQGeeIIDlkaN6HPoKPv2MZMBoLhaq5Y+bcyLuDgKQPPm8ZrxVmsFNaUzM9M9A8jq1SlMPPUUn/kHDjBiq2VLEXWc5f33GbUG0M9w9mxO7hjB+fP0EQWA1q2NO46von5fu3c7v69Gjbhevdr5ffkyJ09qFeHbtXN+fytXMnPLbJZ0eXswmWhPZLHw/P/zT+f3qUbCnzwp2QeCIOSNQdKWd3L69GkcOnQInTp1gtlshqIoMNkZopiamorULKFDcXFxejfTJaSmsiOtVu+tUAF49VV9CmHkxoIFPHaxYkypEPJGFUX37+eg1lY/JIuFncAFC4DvvqNNgafgqdfRpk3Al1+yA/fMM/zO9PK4TU/XPHtdVZ1XURjRcOIEO46nTtHTNCdiYrhs2sQI2cqVeU+oUgUoVMj49t5OYCA7vmfPcjLlkUeMPZ7ZTBG0ZUum0n/4Ib+LyEgKx56Wru2p1xFAsf3PP3kePfec4+d7QgKjTRWFE3hNmujazDtQFEZPb9tG8U7l8GFOIoaHU+SrXp3npjd4YGf1IExMdM9APl8+Rn536QL8+COwcCGwfj19xHv25GSsu6IOPfk6yo2ZM4Hnn+f2ww8D/fsbd6z0dEbOqx7wRlosOUpqKqOh1eeYuiQk8PzLn//WJSjo1teFCwNVqxr3bFZF0T177OvLZUejRoye//NP3rM8IdvKE6+jH37gumFD5y26Ll3SxkytW0uEqL0ULszvbfVqTt7ccw+L+jpK8eLsI6an06/aHYEGgvEEBgKvv65tqyiKgqTcBjQAEo2o1GowOX1ewXlEFP2P2NhYREZGomrVqoiPj0fv3r1hMpnsFkanTJmCSZMmGdhS4zl0COjblx0zgBEbTzzBTqGRxMUxOg3gg9EbBpOeQIkS7LwnJ9NUvHp12/+2fXuKor/8wvRodwhb2eGJ15GiULwBGI3Wvbu++1+7lgO2sDBWKTUSq5UFALZudTwtPi2N94pDh/i6eHEOGGvVYmq7qwZhbdsyyuzvv40XRVUsFl47NWtysujUKQqlH3/MaCxPwROvI4ARx6NHc3vwYMe9DRWFHmTR0Yx679rVuPMuLY02Elu3Apcv5/y+2FguGzawAFu1arwnV658q/iYkUEx5vYlPp4d3ebNeS9wBSYTnyGpqRRFVb9pdxAWxmj8nj050bF8OSeLFi9mav377+tX1M5WPPU6yo3PPtOusYEDgSFDjD3eV19xYiBfPtotubv/FhfH/lBMjCaE5vasy8jIfUJQpUoVfr6QEP3aqlKqFL+/hAROUjoThFC3LjO6zpyhTYnRAQ224GnXkaJoYw5no0StVmbWpKfTuzcqyvn2+SPNmjFSNDaWmTnPPOP4vsxm9kVPn6b3vIiivkm+fLS0yoqiKGjevDk2+mCqSXafV9AHEUX/IzY2FlarFYGBgZg7dy5MJhMefPBBmEwmZGRkwGKx2CSOvvzyy3hOVU7AmdBy5coZ2XRdWbuW0W+JiRTIXnrJddFP8+ezQ1GihOaTKeSNycRo0aNHOWi3RxStVo1RHadPMzJn+HDj2mkPnngdzZtHITF/fv3FN0Xh9w8Ad9+tT/XTnLh2jSKD3pWe1aibjRs541+7NpeSJY0VSCtWpCehOywgypShwPfOOxRlR4ygH9xHH3lG2pynXUdWK58paopt587ORa8tX85nlskEPPigMd/5tWsUQnftomWGPSQl8e927eLrcuW4j/j4vPd16BAwYACfh65AFUVtEYZcQfHiwAsvMHr0s88oMs+ZwwmIxYtde3152nWUF19/zXsRQG/qRx4x9h68Y4cWcdejh/smVxWFWQNbt2pFVvTm2DGeh0Z4fpvN7MsdO8Z7hjNCZnAwJyj37GHknSeIop52He3erRV0bdHCuX0tWMD/WUAAJ3TcPSngrVgswH33caL7t9/Yt1P9cR2hbFmOb44dAzp10q+dgmeTlJRklyAaFRWFECNmugSvQm7b/1GjRg107doV48aNg6IomD17Npb+V7UhOjra5mjRoKAgFCxY8JbFW5g3D+jYkYJonTqsyOgqQTQzUysw06qVZ6T6OIqicPDvStR+pb2+oiYT0KEDt7/9Vt82OYOnXUfJycC4cdweMMD5NKvb2bePUTZms3GVehWFg9ePPtJfEL2d69c1EWPmTPouRkcbVzilYUOmWqns3WvMcbIjOJipLI8+yutpzhym2F+86Lo25IQnXUfJyRQSVEF0+HDgxRcdnwA4cwb44ANut2unfyXtc+co9Hz0ESdD7BVEs+PsWU4c2LKvGzeYQuhsJWpbUUVGT8smq1CB9gjTpnFC6o8/GPnoSo84T7qO8mLePF5bisKIxieeMLY/deMGrQ0Apmy7ys83KxkZFKQ++4z2NkYJoio3bvBY//6r/zNNLXqmp6+oHv6MeuBp15EaJXrvvc5F5Z88CXz6Kbc7d3ZvpL0vUKmSFtyxdq1z+1L7BceOObcfwXOxWnnP378/+7F3dHQ0EhIScl3WrVtnt12iu8jr8wqOI5Gi0IoqHThwAEFBQfjoo48wZswYfPLJJ3j99deRmJiI/fv3w2QyweyD039qtcQXXuDrFi2AV15xbSTGtm2MyAkJsS/S0ZUoCgeMaopj1nXW1MeEBN6oypRhFFulShQtjSpOBWgd6b177fePatcO+Pxzdj7OnDGuKq0388EH/G5KlKCwozcLFnBdv74xqaEJCcCSJcCRI/rvOy+uXmXhgXXr6LdYuzZT+/QWllu31rZffZURnGXL6nuMnDCZKNRUqUIBR/UZXbjQ83xG3UFMDO0mNm9mVM7YsdpkjCOkpQGTJ1MMqVyZg1q9SE6miLBjh377dAbV79moyRIVTxVFVSIjeW29/DKvq8ceY3qlD3bJHGbhQt6HrFaeM6NHGyuIKgowdSpTXcPDXR+JFR/PvuP27e6JcF62jBMdXbveao3hDFl9Ra1W587vyEjaGvz1l/P78jUyM+ldDDiXOp+ezkkBq5X2QaoQLThHzZoMFNiyxbnMLFUUPXpUn3YJnkdysmY5lpBw5xgqNDQUoa723DGQvD6v4Dh+LYpardabIqfZbEb79u2xf/9+tGvXDl988QUaN26M+Ph4vPLKK7D8F87iSPElTyYzkz6JH33E1716sQKskem72bFqFdd16rj+2NmRmEjfuKxLTAzTC23l7Fku69bxdcWK2lKmjL4iaenSWhXuCxfsi5oqWZJi3O7djIxSIyIFcukSB+MAB+J6TxZcvKidI1mjHfXi4EHg55/1368jxMYyzfzvv5lm2aCBfvvOeltOS+N5/PHHrk3lbNoU+OQTz/YZdTWHDzMd7sQJFk2YPNn5//ucOYygDApiqqIej2RFYcT2ypWeJwwuXQpcuUIh2ajuhxopFRtrzP71IDISeO01RmZ/9RWv7Q8+8O7MEr1YsoRe8FYro9Wefdb472XJEmYEqJW29RIGc0NRGMW9dav9mTFGsGcP+wh9+ugz0VeqFCeO4uIYgehM6nCNGsxkuHqVkbQi2GmsWwecP8/7XtOmju/nm28ouAUFMdXb3feiEye4hIbSxkhd8ud3f9vsQbV7OHqUzz5Hry2JFBUEwVb8UhS9ePEiChQogLCwsFuE0RIlSmDdunUYM2YMXnvtNWRkZKBOnTpYt24dKlSogP79+/uUIJqSwqiCRYv4+skn6d/l6o+YmEiRBHBPxfm0NHauo6MpfF6+bMyg+NQpLgAF0fLl2eFt0sR5gTQgQKvCvWeP/amkHTpQFP32W3r++dBp7jQTJnBmrmZN5834s2PRIg70KlfW1z8wNRX4/XetYJqn8dtvHLAZERlesCAHPK+9xkgmVwzWVcqUoRD6zjvAP/9oPqMzZ/pfpcj16xlFFRfHwf7bbzsfib5pk+a/++CDzlWnVbl6lVFfJ044vy+j2LSJthQPPGDMeVSkCNcXLui/bz1p3pzPqClTgA8/5IDf34sOrFjBayEzk4XnXnjB+KjAU6e0yfT27Xl9G01cHIVYTxM4Ll/m/f2hh5y3D7BYeI88fpxCpjOiaEAAJ7w3b6avqIiiGmrqfKtWjvcP9u/X9tO9uz7PIkeJi+N94ODB7H+fL58mkBYqxHV4OPudRmaxOUpoKIM9LlzgBEiXLo7tRx0LnTjB+6MnBN0IguCZ+F0yxcmTJ1G+fHn06NED165dg9lsRnp6OgCgfv36AIBHH30Uv//+O7Zu3Ypvv/0WV65cwfz58xEfH+/OpuvOW29RkAkMpPDTp497xLCdO/mwKlJEf+P6vFAUpicuWcIH78mTrokSysjgQ3rVKnZk9EAVGxwRwVq1YsfowAHPFgZczaVLTNEEGEGt9/Vx6hTwyy/c1jtKdMkSzxVEVebNsy/62lb69OF9bc8eFmVxNSEhFGrUAidz5gBvvun6drgTqxXo3ZuDtZo1KRQ7K4jGx1PkBhjdU7Wq8+3cuxeYMcM77nsHDzKd0AhUe7/Ll43Zv5507AiMGcPtSZP08V/0VhITeZ2lpzMyffx44wf+ikKP18xMinZGZDjcTloao/I8TRDNyvz5OYtS9qDaIe3c6fy+VCH0n3+c35evcOOGljrfvr3j+5k9m9dCvXru8dJViYmhx21u515aGu/tR47QcmLVKn4H77/P7IiYGNe111bUaNFt2xzfR4kS7AumpzPCXBAEISf8ThSNjY1FREQEzGYzBgwYgKtXryLwv7CL+vXr46+//sLvv/+OZcuWoWLFiqhSpQq+/vprTJ8+HQXcOQ2oM5mZLKQEMKqgbVv3tUWNUDFCHMmLAwcYXelOtm/Xp6OvdqQdEcICA3lOAM4Zzvsau3ax01uhgubhohfJyRTOMjPpO6tnddiLF40vNqEXRqRAFi/OYkeAcSJSXphMwKBBjGoDGNlmdIErT+LCBUbfm83Ae+9p93ln+Pxzek+Hhzs3mAU4SFqyRMuU8BaMSm9X9xsRYcz+9eaBB5hlAfi34LN4MYXR0qVp2+GKSKjNm/l8sVhog+KKyfSVK5lG6+n8/LPz0dZqdOj27RSznEGNlIuOdm4/vsSHH/KaqVDB8ey0pCSOHwD3jp8uXqR/ekKCY3+fnMzredYsjgl37nT+nNMLdUxz+LDj+zCbtTFNXJzzbRIEwXfxO1E0f/78CA4ORrdu3RAfH49BgwYhOTkZAP1C582bhzVr1qBhw4YA6DtavXp1lPex6jNr1jC9tECBWwuUuIOqVZnakZTENEZXkZHBlCJPYPFi56sbly/PwcmFC/bP+p47R/GvcGF9U7i9HbXTqxY/0Au1uNnp0+yw9eql78ByzRr99mU0ekTDZIc6sNy7172d/I4dmcKYlsYCQ/7CyZNcR0TQJsFZDh3Son67dnUu5S82lhHgnlJMyR6MKiijiiY1axqzfyOoXZtrd018uJv0dAo8AIUZV9hzWK1a9sQ997gmZfjAAe+6VufNc1ykAmhFUKAA+4S7djnXFlUQun7duf34CtevA+++y+0hQxy3mdi/X+szu9K3PCtnzjALRS/OnuUzdsoU+li720pFteS4cIFZIo6i2iP8N9QXBEHIFr8SRa1WK8qVK4e6deuif//+ePrppxEfH4+BAwfigQcewCeffILmzZujehaTO1+sNg8AX3/NdZs2rvXby458+WgID7g2kurffxl15AnExzufRh8UxKJJgP3phGq0bPXq4ieaFTXaUm9RdOlSVrg2mZj6qGd07pkz3lVp8/x5Y1J2ixfn95qa6t6oWZMJGDWKg6+ff/afqDZVFFXvSc6QmcmCOgAje5y5Hg8cYCq/t0ZOGSWKqlE0evy/XIXab9i61b3tcBfjxlEQDgnhRIErWLuWfpeBgUBUlPHHu3GDaeneRHw8/ZQdxWTSrEE2bXKuLSKK3krWKFFnAkLUjCw1mtHVnDgBfPmlcfvfvp0p+Z9+ym2r1bhj5URwMEVnwLk+rVocVURRQRBywzcVvxwwm80oXLgwrl+/jm3btuGhhx7C2LFjsWnTJvz2229o3rw5goODkanmEfso8fHAggXc7tTJvW1RUVOTXSWKJiczHcuT2L3buTQRQOugOSqKqoNMgahimp4d36NHgenTud2unb77VhTPiX62ByOiRU0mFhEA2Kl3J1WqaKLF009rVhW+jCqK6lGAZfFieqEFBrIonKNs2eJ9AsvtGCGKWq1aJI43ZQqoz6ujR12bZeIJLFjAbAOA4qgrxOzMTOCrr7gdFaVPBHhuWK3Ar78aewyj2LLFOX/6atW43rSJz3VHySqKOrMfX+D6dc2TeuhQ54qRqaKoO5IIDx1iUVRXcOkSJ/H/+MM1x7sdtf9w5Ijj+xBR1LcJDKQN4Asv+EcxU3/7vK7Er0RR639TXeHh4Yj+L0xk/vz5SElJQf369TFjxgxcuXIFFh8vT7dwIdNyypXznFS5unW5dpUoum6da45jL0uWODfodVQUVb93IyqBeyuKon/6fEICfUStVg567r1Xn/2qHDzonb6Ve/YYIxRWqsS1u0VRABg+nAPUXbu09FNfRi9R9OpVFrQAKIg6ElWtThboVdTOnRghisbH8zsKCNDH+9VVFCyoeSb++6972+JKDh9m6i8A9O0LtGjhmuOuXMkJ1JAQ1xRX2rCBxQi9lc2bHf/bypXp2Rodrd1LHUG9X6aniyg0fTqF6ooVWVzUUdLStKJGrhZF9+4FfvrJtccEKPK7IyJfD1FU0ud9m3z5ONkxdar7M19dgb99XlfiV6KomgrfoUMHxMbGYvDgwVi9ejVWrVqF8ePH48iRI3jqqaduiqe+ipo637Gj56RKq95gV68658VkC9evO5+SZBSJicDvvzv+96ooevasfZEzEil6J2fPUiywWICyZZ3fn6LQy+rCBXpQ9eyp7/WXkcGKot5IUpLzUdLZoUaKHj7snCeVHhQuzOgUAHjlFd9PZ9RDFFUU4KOPOKAvXRqIjLR/H1YrJ5ucSWf1JFJTea3riZo6Hx7uXPSUO/C3FPqEBHpQJyfTq/ixx1xzXLX6O8AoUTX6yijOnQP++svYYxjN+vWOCzGBgdrza+NGx9sQHKxd077+zMmNa9eAadO47WyU6OHDfCaFhgLFiunTPlvYscO9hQGXL3e9NVPp0lxL+rwgCEbjZd1ffQgICMC4ceOwbt06LF26FI0bN0avXr0wadIkvPPOOz7rIwqwsMvatRRjnElD1JsCBbSornPnjD2Wp3e09+933AMxOFirHmxrtKiiSKRodqhRomXL6pOisHAhI5TNZuChh/RPPdyyxbsHPUak0BcsSKFHUZwvWKEHPXty4iI2Fpg82d2tMRY9RNHly4G//+bzqmtX+wey6en0cTWqmJe70Htwd+MG196UOq/iT6KoogCPP85nU7FiwGuvuabaPMAU2uho9tXuvtvYY6Wmulf80RNnzks1hd6ZiFOTSXxFAS1KtFIloGVL5/aVNXXeVYElW7dycs/d/PADU+pdhdp/OHfO8YAZVRQ1yo9bcC9WKzMKTp1yj/etq/G3z+tKfE79s8UPdNiwYXjnnXewYMECNGrUCIqiwGKxoHfv3qiod0UVD0P1oWnQQBPPPAU1ytHIjtuFC0w/8XQWLHC8A6B+j2rHLS+uXOEg22zWKnYL+hZZOnAAmDWL2506aSmfepGYyMJN3syxY5o4oyee4isKMD35qae4/dFHWgqer5GWpk1uOep1eOaMVlypbVstYsRWkpP5vDMiAtndOONVmB1ZI0W9DdUCaOtW3/dMnDUL+PFHPqtffx0oWtQ1x01OBr77jtstWxrvY7Z8uecUwXSWLVt4P3QEVRTdv9+578PfRdFr14D33uO2s1GigDaGcFWRpYMHeU14Cj/+6LrMm5AQZlYB7CM6gkSK+jbJyZzsqFTJP/7H/vZ5XYlPiaJHjhzB9OnTcfHixRzfk/Ff3tnYsWPRuHFjAIDJU3LIDUZRtPSnjh3d25bsUEVaI4QRgJ/fm9KLly1zbJBnr6+oGiVaubLxKXHehF6i6I0bwKRJ/F/Wrm1MlM2aNfrv0x0YEc2piqI7dui/b0do0oRespmZwLPP+qaQc/o0P1f+/I55VKalAf/7H9PEK1Wyv8p1XBwr86q2IL6G3hEv3hwpWqWK5r3oq/9vgNGCzzzD7See0HzYXcEvv1BYKlIEaNjQ2GPt3Wu/J7onk5zsuN9twYLapNLffzveBn8XRT/4gBNJlSs777+bmQns28dtV/iJnj3LbAdPIi6OwqijYr+9OOsrKqKoIAi24DOi6LFjx9CsWTOMHTsWM2bMQGxs7B3vURQFAQEBt/zM1/1Ds7JsGX1Z8ud3zmTcHo4coY/P449zkKty6NCdkZCqN49RM5CHD3uXaf+hQ45Ftaqi6MmTtnWC1TkE1b5AIIcOce1sNMC33wKXLzOq5/779U+32rXLM6Ig9cCIyMkKFfidnz3rOYV2nnySUaMrV3pu0TdnOHGC64gIx873zz9nVEhQEPDAA/bt49QpYM4cICbG/uN6C3oP7lSRNSRE3/26gqAgbeJj2zb3tsUoYmNpuZKRwb5b796uOW5aGvDFF7weAR7b6HR9b894yI5Nmxz3AW7QgOvffnN8Ai00lGt/FEXPntW8RIcMcT5K9PhxCqxBQa7Jtlu2zPhjOMLFi7S4cMUQWhVFnY0UdbevvCAInk1A3m/xfBITEzFlyhR0794dd999N0aNGoWMjAy8+OKLCM+SD6ZGhE6dOhUpKSmYMGGCT/uHZuXoUWDgQG736KG/n2FWUlMZubZ48a0ix5kzjHAAGCGVmkohtHx5oFw5LcpD7cDpSXo6BQhv45dfOOCzp+JyaCg7a9HRjFBo3z7396sdjv372en2k8DpPFHnVZw10t+yhesOHfSPxN2xwzN8pjyZ/PlZKXnTJuCdd9ixfuQRY++BeVG2LM+H5csZ0eisx5mnoVp3OBJlvWMHMH8+tx94gB6GtqAorFa9erX9x/Q2ChbUd39lyjD6adUqenQmJmpLQgKXrD8LDQUefVQfaxE9qFiRfRxHB82ejNUKDB5MO4py5YAXX3TNM/rAARYGPH2ar+vUcU10qi/6/iUk8J7YqJH9f1u/PvDHH5zsOXYMqFrV/n2oYmqAT4z4bEdROOZITmaWjrNRooCWcVKhgmuK0l25YvwxHOXwYU5iGJ15WLgw19nEOtmEWijVVksxQfBEEv/zTeIq9JafqYSEhPhN9rMR+MQj0mw2IzIyEsWKFUPfvn0RHh6Ofv36AcAdwujVq1exfft2nDp1CiNHjkRRV5kyuZHYWOC++5jyUK2aVgFZb86fp0CzfLnmUWY2A7VqcaCVNbolNJSi6JUrXLIWwiheXP+2bdjgvbPky5czSsQe7rqLoujWrXmLorVr0yPswgVG9kqxJaKmlDoj0l+6xMGsyaS/gLB9O4tf+BL2iP/20KEDxYUtW1jwav16pqLec48xx7OFLl14bc+bB8yYYdxndweqDUKVKvb9XUIChWuAAoI996KlSz3HIsFo9I5QatiQBQjPnqXoZgtbtwJvvEE7CHejTuypEcq+xNtvM8I9Xz5g4kTjo3lTUjhRM38+RaXQUPYfa9Uy9ri+zsaNvM7sHa/mz8/+84EDFEcdEUVTU7V9+RPffQf8/jv7ty++6LyIqSiajYErMqvS0hyPMHYVmzbRi9oRwd9W1L7R1auO/b1ajM9RGwtB8AQibnb8QgAk/vezEgC0mcSoqCisW7dOhFEH8QlRNDg4GEOHDkXof+pFnz59oCgK+vfvD0VRMG7cOBQrVgyZmZkwm82YNWsWUlNT/UIQTU4GunfnDHPJksCUKfpGSGVm8qG4ePGtqWuFCgGRkewEqg+0rNfomDFsW2wsRdHYWC6q76KeXL/unB+TuzlwgIs9g5IqVdgJ//dfikG5dQaDgrjv3bsZ4SuiKFFFdGdEUVWkKVNG3wHJ1q2eZbyvF0ZEiQO893TuzOti2TJOGLz8Mgv4jBzpuoIlWalTh+fF+fMUao2arHIHjoqi06drVhOdOtn+dzt3+o8gWqwYBTI9CQpitM+mTRQQgoJ4vwoKunVbXf/7LzM/xo3j9dOrl3szDHxVFF27FpgwgdvPPKPZBBjF1av8nx49ytf16vE69EZbBU/jyhVG1qkCjT3Ur88+4OrVjHy018JA9X70J1H00iXemwDg4Yf18f/8+2/aKgUE6D9OyQ5viZpesoR+w0YJxeoY0tFiY1WqcAx04QIXe4s2CoK7CAkJQVRUFDZs2GDT+zds2ICkpKSbephgHz4higK4eQKowmffvn2hKAoGDBgAk8mEZ555BlOnTsWpU6cwb948vxBEMzOBQYM40ClQgBEHen7s9esZ4XT5svazKlWAxo05m53XrGz+/ExrUFMbjMIb0+Zv5/ffGWlo6+CkfHkObq9dowdSXtEFDRtSFP3rL83iwJ9JSdEGEs5E8Klen3oOZjdv9o1zOjuMfo5XqUI/z7Vr+T3+9RfvY08/zchNVwo7qlA7dy7w1Ve+I4omJ2t+vPaIon/9xUG/ycS0eVuFv+hoTsr5C2rhFb1p3JiLLdSsycmFXbuAmTOZ2vv00+5Lz1UHucePu+f4RnDpEtCvHyc1O3fm/clI1CjhS5fYN3vgAa36uaAPGzZw0tne58xdd7Hvd+0aJySaNrXv79W+jDstY1zNqFH0kKxaFejb1/n9paXRqxpg4T9bbV2cwVtEUYBFfEeOZNSo3qj9wrg4Rs7a+5wJDub46cQJ9p2HDdO9iYJgCCaTCevWrUNSlptBYqKWLRQdfRmhoUyjj3CFybGP43OGmpb/plCtViv69euHH3/8EdOnT0fbtm0xc+ZMvPbaawjykxLbY8fSCDswkEWOnC0Yk5UDB4DXX6cgGhzMaspjxtC3tHp113jt2MLx49oA3ZtJTKS4bSsWiybEbd2a9/vVirJr1/pmNWx7UVPnTSbHo2SsVi16TS9RdNMm3xVEAeNFUYBiW8eO9EQsWZKDnalTgeefp9WBK+nYkefY2rUsjOYL7NvHc79wYdv9eGNitLT5Fi1snyhLTdX8R/0FT+j3BgQwA6VDB75eupSCmmqb42pUUfTMGfqH+wKPPUbBv1IlCs5GcuAAj3fpEiO+HntMBFEjOHeO56i9WCzMLACYQm8v/hYpumABsy8sFt6X9CgO9uuvLC4UFsbxjiu4zS7Q4/nhB2MqvIeEaBMJjkaLtm3L9auv3lnkV/BuAgKAp57i4ou+ySaTCaGhoTeXQoVCb37eQoW0nwvOo4t0NWXKFADACg8p7WsymWAymaAoCvr27YsWLVogJiYGO3bsQENV/fFxPvwQ+OADbo8bx/Qbvbh6lYKo1UoB9LnnODgqUkS/Y+hBZqZvpRivX88IRlu56y6ubRFFa9ZkWmRMDAsu+Ttq6nxIiOMC/8mT3E9goD7R0Js2OTYg8iZc+VwvXZqD//btOWjauZNpdt9/7zofrxIlaDMCMNLCF8iaOm9LRJTVyiyGtDT+T2wtOqUoFOM8uRCFERgVKWovJhPFgf79ORDZuZOddEdEH2cpWpSTHZmZWsFGb+aPP3huBwSwr2WkmLVpEye0U1N5/T3yiHvsRPyFjRsd+zu1D//33/aLZf4kil65oqXNDxhgv4VLdty4wYwOgOKa3vYlOeFNkaIABctFi/QPrDCZtL6ho6LoQw/x/nbhAr2wBd8hKAj4+GMu/hDz5m+f15XoIor+8MMPAIDx48frsTtdMJlMsFqteO6557BmzRqsWbMGdV1ROtMD+OUXVncHgMcf12bI9CA9nZ302FgWRHrgAc+dmdmyxfcGzLYInCpqZ3Dv3rw70YGBWmXZv/5yrG2+hBopqkfqfIUKzkcqHDzo+4Io4PpiQ2YzU+FGjmQ0b2Ym8PnnwIgRrhN3VO/Mr76iQOjtqKKoOimTF4sWMaLaYuHzxNZrZft2RqX6G54iiqpUq8ao60KF6I/76KOuL2hhNvuOr2hGBqPWAaBnT30zfG5n2TLglVd436tShRYeEnBiLEeO3Go5ZSulSjE1OTMT+Ocf+/7Wn9Lnn3mG32/FirQP04Nvv+V3GBGhb4BJXnhbpCjA+hX2np+24KyvaL58mlj+3nu8DgVBELKiiyjauXNnlChRAnv37kWJEiVuLsWLF0eJEiX0OITD1K5dGzt27EC9evXc2g5XsXkzfagUhelt/frpu/+ZMzkQDQykT4+nzlKkpTGy0tfYskXr4OZFkSKM+FAURvHkRYMGXK9Z43DzfAY9Ks+rAraz5vPnzwM//+zcPrwFdw3IixThAKpnT97TTpyguGOPZYWjNG/Oz33qlDGDCVeSmsoIN8C29NuTJ4HZs7ndqZPtfmQXL1LQ8TdCQ10/cWALERGMui5XjhOnL77IyVlX4iui6Ny57GMVLAgMGWLMMRQF+PprYNo0btevz76iqyLg/B1HnismEwtfAfZPkPpLpOiyZaw4bzbzHqTH+XzuHCfuAGbEudIazNsiRVXWrqU4qidq39DRCvQA0KwZ/XgzMiiei1WYb6AozHKMifGP/6m/fV5XosvtferUqbh8+TLuv/9+XL58+eYSExODy45MieqExWLB8OHD0UBVe3ycY8doyJ+Wxpv/mDH6Fg5ZulQraPHQQ7b7xbmDHTuM8bZxN0lJ9lVZtieFXnWW+PtvRiP4M85GisbEaP8nR6rNZm3HvHmO/7234c4oJZOJ4sCoUSxUlp4OjB/PQZaRHY/8+YHWrbn91VfGHccVfPYZI2zDwxmBmxvp6cBbbzE6Vi3QZwspKf7nI6pSsqR7q7znRmgoRbz69Xm9fPQRLXxc9SxRRVFvLrYUF6dVmx8yxJhiLpmZwPvva/ea5s2BHj308V0UbGPXLsf8d1VRdNcu+s3aQmam5rPry6LojRvM8AA4PqlZU5/9zpnD+1mVKrZnP+iFt4qiAG2IVBsqPXA2UhTgs3PUKAb1LF+uTeAK3k1SEq2oSpTw7mvGVvzt87oSXT1FH3/8cT12pysmTx1B6IyiAIMHs2NQrRo71np2ck+c0DxK27bNu5q5u1FTOH2RPXtsf6/aibPlb6pV4zmjVqz3Z+LjuQ4MdOzv16/nNVmunHP+bGvX+pcpvCekboaFUZBQRbq5c4Hffzf2mGpl6R9+oDWJN6IowLvvcnvw4LyzCJYv50ReUBCzGmx9VG/b5tzAyJvxtNT52wkIoMDWvj1fL14M/Pija46tFls6etQ1xzOCceM4oVauHL9HI/juO00MuO8+oF07zxLa/SXy5cAB+/+mUCFO2AHMCrOFrJF1vpw+/803zKopXZre4Hpw5Qqwbh231aJyrsTb+356Zp2pfUNn46zKltXurWpxR0EQBMCHPUX9jVWr2EkKCqKJtJ6dn6wRPdWqMbLA0/HlGfHChW1/rxqlY8v5sHcv31+woD6FgbwZtdLrwYOOVTNWozjKlHGuHZ4cja034eGeE61ksQBduwJt2vD1Rx/pG/VwO7Vq8ZpLT2eEy8yZTEX3Jg4dYpGbfPmYsZAXGzZwHRVlX0ScPcXmfA1vSHoxmfg/vf9+vv7qK9uj2pxBnQC0J5PCk1iyRLOSGDPGGK/206e1gm7duwN3363/MZwhI8N/slQcLUyq9kcKFbLt/b/+ynWzZp4x6WgUah+3VCn9+v9Zq5672lpCUVgUyJuJidFvX2omwN69zu9LfR75SZkRQRBsxBBPUdVL1BM8Rf0BRQH+9z9ud+vGAkh68vXXjBwMCuJAx5OiCnJCfYD6IvbY46pRAraInMuXc92/PzuD/kxkJH3ykpIc64SpApqzgxBvEEH0olw5d7fgTpo3Z3ReWhrw6afGHcdkAl54gedcbCwwejTT9T791HYPYXezejXXderkPYC8dEmz9KhVy77jOBq97e3072+756on0LAhiwRlZmpin5FUq8br6PRp56OJXM2lS4yuBoDevW23krAHq5UeolYrM3088dnii5ZH2RES4lhV9IwMniuAbbY8CQnAb79xe9w4+4/nTTRqxPXRo/pFGwcHa8+nkyf12aetXL/unYWWsqLnRLLqzX/ihHOZIpcuaROyo0c73y7B9SiKgsTExFsWlex+Jgi2YoinqOol6m5PUX/h77+ZrqsWP9KTAweY0gkwssATizxkh5pK52vkz29fZ9pWUTQhgecRAAwf7ljbfAmzWUtptjVNLSt6iaJhYfaLRt6KmhboSZjNjBgFgBUrgN27jTtW/fqscvvssxS/zp0DnniCYs/cuY5FLLsSVRRVB6e5oRZJqlTJ/mhoIyLoPJ2OHW0rXOVJmEy8h5pMfLZs327s8UJDtXvItm3GHktPrFam+964AVSuzIJVRrB0KQs4BQTwnuaJk9v+4o9Wr55jWRGXLlHwK1KEE2h5sWQJhbVatRgw4cvUrs0xUFycvpHp6uTBqVP67dMWzp517fGMIDlZv4yX0FDtnHfGHu3XX3nPbd/ef/rWvoSiKGjevDnCwsJuLhERWvBdRESJ/35mww1SEG5D1zp6ixYtwvLlyzFjxgwAQHR0NA4ePKjnIYTbUBTgtde43aWLvlGiycnAlCk8Rr163vUA8dVI0dq17RMFVFE0rzTuv/5iRFrt2p6XUucu1EGEI6KoOpOtR7qaLSKTL+CJkaIAJxQiI7n9wQfGipOBgZx8+v57RjEULcrIt0cfZVr9N98wWsjTyMjQ/MPU7yq396qiqCMRcf4WKdqwIXDPPe5uhWNERGj/4xkzjD93q1fn2pbCgp7CjBnAypWMrp4wwZg03UuXeByAYoCtqdeuxl8iRR2N0j13juuaNfMWtdPSgAULuP3ii66tmu4OgoI026MjR/Tbr1qA9NQp1/rd+oIoCmhFS/WgYkWuHbVISU7W+h5jxujSJMHFJCUlYePGjTa/PyoqCiH+nvoo2Iyuj8kXXngB8+bNw8cff8ydm814WC/HayFbfvmFRuD58gEDB+q7788+YyesQAEtas5bKFbM9R5ArsCe1HmARvFA3qKomjo/fLhnRpC4gw4dKECfPUsDf3vQUxStXNlx/zFvISTEuYJURtOuHdt4+rQ20DSSfPmAXr0Ypf/kk/QRPn4cGDqUA785c4BFi7Rl8WLj25QbO3Zw8BMWlncRvvXreX2EhWkilj34kyhasaLnRvXZSps22rWzaJGxx1JTir0lUnTPHmDsWG4/+aQ26NcTq5UFRTIyGEnryZOe/hApWrKkbVGe2aF6TNqSOr9yJSfFy5Wj9YY/kDWFXi9q16agHBfn2gJ/qgDu7eiZQl+5MteOiqJ//smsuLvu0jKABO8lOjoaCQkJiI6+nOVnl5GQkHBzWbdund8U3BacR1dRdPXq1fj6668R/J/jdfHixZHiz1URDCY1VetQ9+0L6Gnfun07BVeAlfq8rXCRyeR70aKFC9sXTZeWplWvzC19/uRJFkmxWIBBg5xqok9RsCDQsiW3N22y/e8URb/0eYDnsq9Hi5Yv79nCT3AwU5gB4IsvNF83owkKAvr0oTj6+OM8Jw8fBkaMAB58UFtUP0J3oabON2iQd1qoKuA2bOhYCqm/pM8XLcr/vacUH3OU4GBOKgDA55/fWg1bb2rW5Hrr1ryjuqxWinC3L64iORkYMICR582aGVdt/rffmG4aEMBjeHLEoD9Eijrj5apOzuYlimZmAj/9xO3nn/fNAIHsULMU9BRF8+enMAq4zlc0Lc11fQyj0VMUrVCB/cQLF+z/fhRFm5QbNcqz74OCbYSGhiI0NBSFCoVi6FAGDRQqFHrz56GhoT4piAYE4Obn9Zf+sKvQ9bYQGBgIq9V68yS8evUqzHLnMYwZM2g6XayYvjPBCQmMLACY+qZWdfU29C445W7q1rVPOFIHnwUL5l7dWY0Svf9+fYV1X0CdTd6yxfa/SUzUUqz1qvbqiUUx9MRTU+ezUq8eO+UZGVoqqqsIDuY9/ocfGM1drx4jRtVFFYPcha1+omfOADt38j6WV5p9TvhLpGj//lpFZW+nYUP6fKenG1uwrHJlDhKuXOGE8dNPc+DQsyfQujXvo5UqMfI+IID356yLKydSX3oJ2L+fbRk71phJofPngVmzuN2hg2dH4wP+ESnqaMXrpCStT5dXhP26dfzfFy1K6xV/QX3+HDmib6q72v86fVq/feaGvZlJnoyeomhQkJb1tnOnfX+7cyctEPLnB4YN069NgvsJCgK++opLUJC7W2M8/vZ5XYmuGvOYMWPQt29fxMbG4n//+x9++uknvPLKK3oeQviPmBhg4kRuP/KIfoOn9HT6iMbEsEPVoYM++3UHvibwqd5GtmJLkaWMDGDVKm5LgaU76dqVkRa7d3NQYos1jZpilS+ffgJOWBijQw4d0md/noYnFlm6HZOJ58Ps2cDGjUwDb97ctW0IDWVU6O2RoYmJ7iukkZLCQTiQtyi6ZAnXVas67mvoDzPjHTt6V6X5vDCZgPvuY6ToH39wAk71/9OTfPlYiPDQIeC99/Tfv178/rs2sTJunDH2KJmZwNtv8xlfqZJnp82r+HqkaI0atvUhskNNnS9blhPdOaEoWnHU0aP1m5j1BurVYwTgtWucGNHrHtqwIYsgnjzJ79fo4DNf8RMF9PUUBXgvO3eOKfT22LotXcr1I494rqeyIAjuRZfhxdWrV2G1WjFo0CA0btwYq1evhtVqxc8//4xa3lSdx4uYOJED4SpVtLROZ0lLA15/nYVlzGZGV3hz2o0vRYrWq2f/wMkWP9HNmzmTW7Kk9/nGuoJq1Rgpffw4LSVatMj7b/RMnb+9Lb4oigYEeI/VRfHiwL33Ahs2ADNnMtrRV6L5HGXjRj47ihXLXdxOTaXPHeBYgSUVX48ULVMGaNrU3a3QnzJlGHG1axfw0UecXDDCGmDkSBbTCAriZFJoKNe3b4eF3XntJiUBvXvr36asREdrNjUPPgg0aWLMcRYu1KrNd+/u2fYkKr4uiuqROp9XVsD27Uwfz5+facL+RHAwC8Lu28doUb1EUdVXNCFBX7E1J3zFTxTQN1IUoCi6bh0jP+0RqE+d4vr++/Vtj+B+FEXLMggJ8Y5nnTP42+d1JU6Jovv27cOAAQOwf/9+AECZMmUwbNgwvPjiiwj1p+lJF5ORoaWgPfGEfgOLRYsoklksTN3zhpTW3PAlUdSRiDQ1YjE3UVRNex082D8isOzFZAI6dWIK4q5d9omiehc8zKuAjbdSurR3+Sa2asW01+hoii9Giyiezh9/cN2oUe6dsw0bgPh4eiM7Y8lidAVzd9O9u+/6nbVvz2vn6FH6fjZrpv8xVEsJR7Ba9W1LdrzyCp/NlSvTJ9gIEhJYjA0AOnfmNecNpKW5uwXGERLCIAZHuXiR67xS59VaACNG+Fa0ua00akRRdNcuTmDqQb58tD3YvRs4eNC2fqAzqP9rXyA+Xt/9lSvH/uKVK4yezquIrIoaJFK6tL7tEdxPUhInOQE++3xdfvK3z+tKnOp6Dx8+HOHh4Vi/fj3279+PSZMmYfHixbj77rtxzZVl+vwMs5mRfQCjb/Ri1y6u27b1Xh/RrISGGlPN1dWEhzsm8KrnRm5+osePc+3NNglGExPDta1+bEbN2unpkeVJ1Kvn7hbYR2Cglopqr6+Vr5G1eME99+T+XrUieK1azol+jlae9QY6dPA925esZH0mG1lwyVM5cAD48ktuP/OMcZk469Yxfb54ce8q0peX4OfNlC/v3ORfYiLXuVWuT01lpCjgv3ZIDz7I9e+/a4VG9aBzZ67Xrzc+otmXsk/0HoMFBGiTPLGxtv+dOg5SxVFBEITbcUoU3b9/P2bNmoVmzZqhRo0aGDZsGHbs2IFatWph9OjRerVRuA2zWXvw//23PvtUFC01t0IFffbpCahVb70ZR4sjqBFVORkxp6drKVnicpEzmzdzbet3lD8/12qxJb3wxXmmYsXs98r1BNR75N69roku81T27WPUX2Bg7qKoogD//svtypUdP97Vq4zU8UVq1zYmctLTUO0PfDkqMCdeeIH3i6goxwvu2MJff3Fdp453pdbVrUubGF/E2SJXKSlcqxFC2bF7N4XRsmWNPb88mW7d2FdLTNQ8rPWgQwc+u9LSKIwaSW7Ct7fRpo3++1RF47g42/9G7XesWKF/ewRB8A2cEkUbN26M67cZhphMJrz55ptYvHixM7t2C4mJiYiOjkayE9OAqampiIuLu2UxAjVlc8MGfQYXFy/SENti8a0Hctmy7q/M7CzOiqI5RaOcO8cBWoECnpdS4qrrKC/On6fpvdnMIgm2oIrQeqf5+mJkVbt23pkqXLIkxZ34eNdVpHUEo6+jhQu5vvvu3O0izp5lVIfZ7FxRLXWCwtcoUcJ7fB+dRRVF9cxycYRz54D584GfftIWNer5dvS4jlauBJYvZ6TTE0842fhcuHZNixY0opiVkZhMvuv55wpRVL0/3nefZ95LXNGvM5uBl17i9oIF+k2+WCzAY49xe/Nm/QsIZcVXrL+aNDGmiJza17Dnf6DW3pg71/3PHkEQPBO7h6Pdu3fHhAkTMH/+fDzxxBN45plnEB0dfct74uPjUcjLyrvt378fPXr0QIcOHdC4cWMsVEd7djJlyhQUKlTo5lLOIGPOe+/lwDwxUZ90QjVKtGRJ3/OWbNvW3S1wDkc702qkYk6RomfOcF2rlud1oF11HeWFOsioVMn2lCb1+5ZI0dwpW9Z2odnTsFg0z+U1a9zbltww+jpasIDrli1zf58aJVqhguOFkpKStBR8X6NvX+8uamgPav/CXQNTRQF+/ZVViGfNAj75RFu++CL7v3H2OsrIAJ57jts9e/LeZxR//83PWLq080KcOwgLAx56yN2t0B9n/xdqrEZOoqiiAFu2cPu++5w7llG4ql+n1kS4elUr7qcHTZvS7sdqBfbs0W+/t+MrgSl59QscRRVF7dHUmzWj2Bwbq03mCoIgZMVuUbR27dr4999/MWbMGAwcOBBbt25F5cqVMWzYMHz44Yd4//33MWzYMHzwwQdGtNcQ9u3bh1atWqFmzZp49913UbVqVYwbNw6pDvTaX375Zdy4cePmcvbsWQNazEG5nin0akqip0UM6kF4uHf5at1OsWKO/V1ekaJqNUZPjKR11XWUF5s2cV27tu1/I6KobXTo4HlivD2o95TffvPcyAMjr6PDh1k0x2LJu6CFGrnmTOq8Kqz6GgMGeKd45SjujBS9ehUYPx748ENGkN17LzBkiLb065f93zl7HX32Gf1ECxbkcYxEnaSx55nladSq5X1RrnnhzDWekUGPWCBnUfTcORaeCQjwXNsoV/XrAgOB55/n9k8/ad+ds5hMWsThgQP67DM7fMFXunVr4wrAqAEK9kSKWixA167cnj1b/zYJguD92B0TOGXKlJvb0dHR2LVr183lk08+wdGjR2GxWDB58mT09oKyvBcvXsSgQYPw8MMPY9q0aQCAatWqYfTo0Th//jyKFi2KfPnyISQkBIqiwJTHKD4oKAhBOYXm6Uzv3sDHHzOFPiPDuQhPVRQ1MoLBnbRu7b0FOozyFFXTfj3RT9SV11FuqJGi9gjHRqXP+4pBfOHCnNDx9ntNzZr8LNevswK7J6Z9GnkdqdEWkZG5F3PLyNCK+DlawC8jg9XKfY02bYCqVd3dCtei9lPUdGBXsXkz8O67nFwKDASmTQNGjbrVviMuDpg3786/deY6un4deO01bj/8cO7XirPExGgRbN4uKt53Hydu9SyW4y4sFgrijqJeK2ZzzjYlapRo69a5p9i7E1f26x59FJg8mRZI69bxe9GD5s2B994DLl3ivcSI9PDChXmP0nti3VWEhhrrj+1IpChAUfSbb+gJu3ev//ruCoKQPU4lSkdERKBTp07o1KnTzZ8lJydjz5492KWOgjyco0eP4r777sOTTz5582dffPEF/vnnH3Ts2BEhISFo2rQp/ve//6GkWvLdQ2jRgjOKly9T8GvSxLH9ZGSwWAYAlCmjX/s8iQIF2Jkx2iBdb5zpTOeVPq+Kop4YKeoJpKVp0WmORIpmZDClTY9oSEXhgNfbqVmT3olqMSpvxmxmOt3KlUwj79rVNf6oBw8Cy5bdGv2itwBvC6oomleK3MGDTH0PDqY9iyPs3q1VX/YVatTgM9zfcHWhpdRUpsb/+itf160LfP+96wbEb77JlM3y5Y2fOFGjRMuXd06E8wSCg/ms+OEHd7fEeYoWda4foKbOh4bm/IxRJ/3VKun+TmgoMHo0MGkSz6FWrfTpixUqBDRoAOzcyWdbXlkSjmAycWynFkL1Nlq1MtYOxhFPUYBZg82bA//8w2fCxx/r3zbB9VgsWp0Vi8W9bXEF/vZ5XYnuQ7jg4GA0bdoUI0aM0HvXhtCyZUsMGzbsprfNjBkz8NZbb+Gjjz7C4sWL8cgjj2DLli34559/3NzSO7FYgF69uO1M806c4AAlf37fTuOLinJ3C+ynSBHHhZbc0uczM1n8BPDMSFFPQK3kWrCgfVGNWUVovcSq69e9N2pApWtXesX5giCq0rAhRZ4zZ1wXyfjBBxRFV6zQlj//dM2xVU6c4CDcbM77vqoO1itXdmxQqiiajYWvEB5Ob0lvto9wFFemzx87BowYoQmizzzD69RVgujx40zVB1hcyWi/9qxV532BqlW92/pIxRVFllR7HX+LPM+NUaPY3zh6lJGBeqFOBKoZdkbgrSn0RYoYf806GikKcKIFAL76yjei0AVe4/Pnc/Gl8UVO+NvndSVeWPfXeS5evIiELHfDqv/1IhRFQZ06dbB27VoMGzYMtWrVwtNPP43ExERs8tBRmTpbsG6d4wKMWmSpTBnfHqTlz08fQ2/CWR8qIHtR9NIlimz587P4iXAn6iVfs6Z910VWUVQvIfPyZX324w7CwykING7se/eXoCB+LoAdFKO5elWL6n/jDeDtt7lMnGj8sbOiVumuX5+pfrmhRltXquTYsY4c8R3rCJW+fXOO4Pd1XFFoSVGAn38GnnqKGRElS3Ly4IMPXDuIeOklPgMaNwbuucfYY50/T59fk8m3Jjo7dsz7HuPpuEIUVaNJjbRn8DbCw4EuXbitPjf1QI3wP3fOMWHOFrxVFG3XzvjoNUc8RVUaNmSQQ1KSb0ShC4KgH34nip48eRLly5dHjx49cO2/qdXM//IQTSYT2rRpg5b/TQNmZmbixo0bqFmzJho2bOi2NudGq1Z88MfFseiFIxw5wrUvFlm6nSZNvCutzBk/UTU9MbtBoNpBrF5dwu9zQi0OY6+9gMWiRUPplfLrraJQgwbAY4/5TjXV7GjalELEjh1AdLSxx9q5k+tGjYBXXqHo8tJLwLPPGnvc21m8mOu80r9TUrTnkqNFlowsaOEO+vXjM9tfUQUeIy0f/viDxTTS04EePeizmcXlySWcOkWLCbOZ4qzRE0KqNVClSsYVOHEHQUH8H3ozzoqi169znZvgqV5XvvS/1wPVx/rkSf32WayYFo19+LB++82KN/aZ7r3XNRMyisK1I/1rs1mzMfnsM/3aJAiC9+N3omhsbCwiIiJgNpsxYMAAXL16FRaLBVar9Y73WiwWvP/++zh8+PBNodTTCAjgzBcAXLzo2D7UoFlPNWfXk4AAoFs3d7fCdhxNgztxArBaOfjObgC+bh3Xnlql1BNQIy8cEdHV9Mx9+/Rpi7dFyoSF0dqjRw9jvaU8gUKFuADGi9fnznHtzpTSzExtwiCvdpw/zwFM/vyOF6QwopCFOyhThhME1au7uyXuIylJE++aNjXmGBkZLKYBAC+/DPzyC1C8uDHHyo34eK4LFnQ8StoeVHHGFcdyNRUrendfxdECcwDvn2q0vZqVkB2qzZJeldZ9BTU77O+/9Y1OV2s4qN78elO+vHcFqtSoAbRv75psoI0buXY0VqljR14v//7LsZLg3SQm8rwzmXzPez47/O3zuhK/E0Xz58+P4OBgdOvWDfHx8Rg0aBCSk5NhNptxJcuIdsWKFRg7diw+/PBDzJ8/HxUrVnRfo/NAHTQ66o+ipvga7XflKVStyurXnk5kpOOFr9ToqhYt7vQkTUnROhV9+zrePiFn7ruP6127KE47izdZHHTqBIwZ41+VPdVUaKM7KJcuce3Ox9GhQxS38ufP22tXFXGLFXP8eJGRjv+tJ1CiBKNDH3nEuwa5RrB6NTMYKlc2bnLyjz+ACxf4vb/yivssO9R7gqu8oI8f59rD6oHqRvPmmh+gN3HXXc5N7Bw/TvucgIDcC3Wpk4/qZK5A2rfn8zIhgcKoXqj9mzNntMhFPbFYgIEDvSeNvnNn19xrT59mppvJBAwf7tg+ChdmFhPgGtsjQRC8A78SRa1WK8qVK4e6deuif//+ePrppxEfH4+BAwfigQcewIcffojU/6YSN2/ejN27d2P9+vVooN49PRS1w+XogFxNs/YXURRgBGbPnu5uRc6EhjoeGZGZqUWNtGp15++3bKEwWqECcPfdjrfR11E7eI50eFu0YKpbXBzTKJ0lNNQ90U728vDD9M5T7QP8BVUASUoy9jhqNoA7o8HUKNGqVfO23rhwgWtn0kcLFPBOj8SiRTn59sQTjA71NT9de7lwQSu69fTTxtm2qNYOY8e6N5VYvSeo/SsjSUnRCif6qigKMDJs0CB3t8I+nJ3U2bKF6549c8/mUs83NY1eIGYz8Oij3F62TL/91qjBfcfHa/YGehMSAgwe7PkFcNu107JljERROLEGcILA0aARAGjdmuuff3a6WYIg+Ah+JYqazWYULlwY169fx7Zt2/DQQw9h7Nix2LRpExYvXozWrVsj6L+excSJE/Hzzz+jjheU8VRTax2NFDVaFF27Fpg+3biOg6PUr++5qfQdOmhm4vZy4gQ7xkWLZp9+/88/XPfpIwP13HBGFM2XD2jWjNt6iKIA0LatPvsxioEDvSuiVU/UAanR1Uw9IVJUFUWrVcv7vWqkqLODOm+avClYkAO2kSN5/5V7LO+hy5dzu107oF49Y45z7Zo2IThwoDHHsJWskaJGRJJl5eRJHiM01PdtkO66Cxg92jt8ecPCbLtP5kRCghYBnNckvqsm5ryRYcMoYO7Zo1+6e/78FEYBRosaRVgYMGSIa0RHRyhWzPgicipHjnDyx2KhWOwMahbdjh3aNSYIgn/jV6Ko6hsaHh6O6P8qYsyfPx8pKSmoV68eZsyYcUsKfWEvMfJTI0VVDyt7MVIUPXmSKSs3bhhnSO4MkZG5pyS5g4oVnRs0qqnzLVtmH42jCiv33uv4MfwBZ0RRQBOk1QgeZ6lRgwU7SpXSZ3960rcvUKWKu1vhPtRiZkYOSDMygJgYbntCpKgrRdEKFTw/Ujo0lCmEo0fTa/V22xJ/ZvdungsBAcCIEcYdR/VebNDA/fdJVaQCjC0qBQDHjnHty1GiWSlalNF/nu7P26iRcxHR+/ax/1GzZt5RcWphHl8rTKcHpUtrARB6RotmTaE3kkKF3D/JkxOdO7smy9BqBf76i9t9+zo/KVK4sOZJKin0giAAfiaKmv8bpXTo0AGxsbEYPHgwVq9ejVWrVmH8+PE4cuQInnrqqWyLLnkynhopmpampbIBxldmdpRGjYBx4xjB4gmVO++7z/HoosxMev4B2afOA5rNgqfOPPsKqih6/rw+vqIAhaFHHqG/mqfwwANaxIS/ovq5GSmKXr7M8yh/fveJH5mZwM6d3K5aNe/3nz/PtTOeogDvh7kVGXE3bdrQR7dpU/+yobGFlBTgzz+5PXy4seL2tm1cd+5s3DFsJasoarSvqBrp5I0Vqx0lKIjiSIsW7m5JzjhbEE8t1GiLlZJqMaL6xQu38thjXK9cqZ+lhatEUYD3zf79jT+OPdSo4brJ8L172QfKl48e3XogKfSCIGTFL7vvAQEBGDduHMqXL4+lS5eiUaNGaNiwIUwmExo3bnxTPPUWnC20ZJQounr1rSnzniqKAuxgN2/OQe2uXexYuiPdv3lz5waNJ09yEFqkSM6FblThxpGq6v6Es2mvFSow9SkhgdG5ehVZsVg4SKpalZWV3WlL0a2bcamw3oQ1jHldAACvRUlEQVQr0ufVCO8KFdyXkn3kiFZkqXz53N+bnAyoiRd6eKLVr6+lYHsKjRpREPX1lGVn+PtvTsSVKwf07m3ccaxW/xVF/S1SVMVkoq1MRASwYIG7W3Mr1ao5N/F85QonlUwm3mPyQp2E3byZ14KXDWMMp3NnRtuePw+sX6+PHZH6ncfG8rkYEuL8PnOjWjUWjlInmdxNp06uOU5GBm3YAPrWFyigz35btAA++IATvceO+Xe2k+A7JNpQYCYkJAQm8Xa6A597bGZmZub5nmHDhuGdd97BggUL0KhRIyiKAovFgt69e3t0lfmcUCNFPSl9/vRpYOvWW38WG6vf/o0iMJD+daNGMQLOlSmbhQsz5d0ZsladzyltS0RR23A2fd5sBmrX5rZeKfRZKV+eRVzcVQeuY0fvrwyuF65In/ekIkt33ZV3WqgaJRoc7Lg/claCgjznfKtSBXjySVqviCCaM5cva4ViRo0ytgDb0aOcICpQwDOsYSwW7RoxstiS1UofccD/RFGV2rVpy+BJ2S9Nmjj393v3ct24sW2TSpUr8zl04wZw8KBzx/ZFAgK0auV6pdAXKqT5qLsiWhTgvS2ngAdX0qaNNvY0mu3beW8vVozjMr0oVEiL5pYUeu/FYmGG5X33GVfA0ZPI6/NGREQgLCws16VFixZQjDY790J8ShQ9cuQIpk+fjovq6DEbMv4zdxo7diwa/5eP5+1quadVn09PvzVt3huxWBgB9+STTNFypsqhrXTp4tyg0ZbUeatVE248aQDhyTjz3DBSFAUoFPXowaJZrqRVK62QlKBFhTl6D7YFNVLUE0RRW/xE9Uqdz4q7Cy6VKMHq1wMHclvIGUUBVqzgOirKeZEoL9Qo0fbtjRVf7SFrsSWjuHiRUdkWi77XmrdRsiRTpD0hrqFLF04cOYqiaKJo+/a2/Y3FQu9RQFLoc+KRRzjZvWOH9nxyFlem0ANs//3365d55AhFirhu4ik1VSsOO2SINgGtF5JC7/3kz8+JjmXL9D8/PJHsPm9ISAiioqJs3seGDRuQJFX57sBn0uePHTuGZs2a4dq1a7hy5Qqee+45hN/mxKwoCgJuU/6sVqvXpcvfjhrx52jqZmoq13qJops3A1ev6rMvd2My0TenenVWET99mgOufPk44AkKunVbfZ2aylT2Eyfo95XX/6ZGDeeqlAI8XnIyZ2/r18/+PcnJmsinVwqKr6LOwDlTJENNrzp92tiUtpo1geee42SEmkppFM2a5Sy6+ytqx8QoK4OEBGDDBm67UxTdtYtrW+5VFy5wrU7a6UFEBCOkXTUAVQkLY2RMgwaSlmorFy7wmWQ2s0CckWzcqEX6uCql0xZCQjgJeeKEcSKGGhVYooScm6GhnLRYuVITyV1Nr17OR/KdPcs+tMVin394mTJMBVYFVeFWKlRghsvKlcBvv+lzX6pXD1i6lNYy7du75hoMDGSwxmefGWvZkxOuKq4E0Fc3KYnn9n336b//5s2BadPYt4mO9i9fZsF3MJlMWLduXZ5CZ2JiIiLkJM8RnxBFExMTMWXKFHTv3h133303Ro0ahYyMDLz44ou3CKNqROjUqVORkpKCCRMmeL0gCmiRf47MkKSnUygD9ElxtFq1aCJfwmSiGGGrIJEvHztL9epRhIyJ4cDoxAkO6FUhGmBqVJcuzrdR/d7btMk5hUC1WMifX5//ty+jVrY9csTxfdSurfmKnj5trKBVoAAwYADPg3XrgLg4/Y8RFUU/Uy8PrtcdtdL1vn28trP6CTpLairwyisUmAoX1q/IgCOo0ar29Kn0fsR27QosWuQ6j+qWLXneq8W0BNtQnzU1ahgnCKalURhQ/SQbN/asKs0DBgAffQS8/z6fBXpOEKio/oLORCb6EmpqYalSwJo1jttK2Uvx4hTk9fg/bN7MdYcOtvtUXr+uVee2I2DI73j6aYqiixfzWeqs33WzZnzeX7lCYc3Z4lq2UrAghdG5c11zPJWmTZ0P4LAHVfRt1MgYIVYd/1oskj0neDcmkwmhnlAt2ovxCVHUbDYjMjISxYoVQ9++fREeHo5+/40cbxdGr169iu3bt+PUqVMYOXIkiupRAcLNqFGZjkT+qcKJyaRP2PnRo/Q0EjRMJkZxlCgB3HMPheNLlyiSJSayA+usQHnlipY6f//9Ob9P/d/4c5qdragDi/37KWw7IgTmy8f0nKVLgT17jI/yU6t0N2pEAX7nTs1n1hkqVGAURNmyzu/LFwkP5yAlLg7YvVu/VOGMDGDiRJ47oaEc9JYrp8++HUEtnGSLH7EqDDsTaZ0dJUrQSzc2luf2gQP6C6QREUDDhpzUkskjx1BteYwqPnL+PDB5sjZp9eyzwNtve5Z4/fbbLDi5fz/wzjvAlCn6TigdP655trrLW9pTUa/fw4eBf//lpJLeFC3KbJDatfWz07h6VYv+tccW5/vvGSARGQk89JA+bfFFOnemsLdlC/DTT7TIcoawMODRR4GPP6YIX6eO6+5BZctyAuD3311zPD2ioO1FfY7oOdGclcOHua5Xzz9Sr32RxETt/nv5MvvKvoy/fV5X4hOiaHBwMIYOHXpTIe/Tpw8URUH//v2hKArGjRuHYsWKITMzE2azGbNmzUJqaqpPCKKAfQPV21HTPUNC9Oms//uv43974ACwaRMHoQULZr940oDHUcxmRs7oGT2jekg1a5a78CaiqO00acLZ49hYithqNKC9dOxIUXT/fnZgXeF3ZzazGEyVKhwo7dlDgfTyZdv+vmBBRrxUqaIVcBByxmTid7VjBwdbeoiiVitFlc2bed9bvpwDfXdhtWrPGlsiKoz2UwwPZxRny5a8Rvfvp0h04QL9le0lKIgDvoYNea1LNLRzqINZI0Tl1asZfZmUxHvV998D3brpfxxnCQ4GfvyRQtWWLcDChUDv3vrt/4cfuK5dW57p2WGxALVqcYmNZf90924gJcXxfRYqxO+7Th36mOp9n1BF7rvvtn0S1WrVokQnTRIbhdwwmTjR2KULU+j79nU+WrRHD+CXX/js2bhR86l0BY0bA+fOsY9nFKVLUxB1xz1G7T8YNTmpBpO4269coMWhLenf2eFv9pj+9nldhU+IogBuCqKq8Nm3b18oioIBAwbAZDLhmWeewdSpU3Hq1CnMmzfPZwRRQIsUdUQUVUUyPaI5rl1zzs9w82Y+3HMjKIifs1QppioZFYXiTcTHa15//fvn/l41MlgGUHkTEsIO55YtTIt2VBStXZuDp0uXOCut+oy6ipAQRig3bcqiHKrnWFYLB4DipyqEFi8uopC9qKKoHl52igLMmEHxx2JhuniLFs7v1xlu3ODgG7AvUtTIIjMq4eH0uW3VioLopUt8lqhLbl6vFStSCK1Z03MK9PgCqiiq54RKcjIwc6YWGdWiBYVBT45gr1sX+OADYNQoYM4cRnRWqeL8fs+fZ2QaIOnSthAezijBdu34PN+2jc/D3ChShM/C8HCuIyKMEUJVkpP5DAHsixI9fpzjgNBQ2wsz+TOdOmnRovPmOe8tGhgIPP44xdYNGzgJ4irPfpOJE0LR0cZYynTpwn6wu4R2tf9g1MS8Gikqoqh7URQFzZs3x0apEie4EZ8RRVUsFgsURYHVakW/fv1gMpkwePBgLF68GMePH8fWrVsRZFQcvptwJlJUT1HUWS9RdeajTx/OCsbE3LokJlLIUV+npfG9/i7ebNlCsaJ27bxTW0QUtY+oKE0U7dDBsX2Yzfzbb7/lbL6rRVEVk0mLUO7YkSl6MTFMx65Y0TeisN1JpUr8js+eZcSIM5HgX34J/Por9/ftt/TRdDfqcyY42LZzxZWiaFYsFhZlKFOGA1+AvmTnzvF/c/48nzU1alCg8qH5UY9C70jRM2eA116j7YzJBEyYwMVVBT+c4amngD/+oI/h//4HfPKJ89/LvHmcPKlSxfEJO38kMJCTIA0b8l7w778UR1UBVBVBw8NdP0myfTvtRipXprBmK2p0abt2xqUZ+xJZo0X18hZt2ZJ98P37OVnRvbsuTbWJwECOhWbM0G+ftWpxEsHdBVnV/oMR57XVqtmviCjqXpKSkuwSRKOiohAiUVGCznhBd9J+1IJKiqKgb9++mDNnDnbt2oUdO3agrqsNUVyAOlh15OGllyiakcEINGdQRdHOnbNPG0pKYgrUiRP0Ejt0iB0Qd4lMnkBKCrB1K7fzihIFRBS1l+bNmabpbDXX9u0pbh07RnHf3R4wgYH0UBL0I39+VkY/fZpRSD16OLafn3/muQLQp8yW69oVxMZybevkm1Geoo4QFkYRtEYNd7fEf9BTFM3IoAB65gwFwO+/Z0FBb8FkYkGU+vX5GT7+GHjhBcf3FxNza7Ss4Bjq5IknkJmp9eUeesi+yX5VFNWjYKe/0KkTM2g2b6bFxciRzu3PZKI/6ahRzNxq2tS1lcyLFqW4O2+ec/spVIiTsFWr6tMuZzEyUvTcOfbHg4MpaAueQXR0dJ4Fg0JCQm5qPYKgFz7rPGMymWC1WvHcc89hzZo1WLNmjU8KooCWPu9I5TxVFHV24HLggHMeF1arVgUwp88REkLRoXVrYOhQ/mzpUj7U/JV//2WnoUIF+onmhSqKZqk9JuSCmpZ46pRzVWzLl6cgoyiMOhV8E7XysDq4tZfly4HZs7n95pvOF4HQE3v8RAH3RYoKnoGeoujixRQTixfn5Ks3CaIq4eGc7DCZgGXLHL9HAMD8+ewzlS/PRfB+9u1jH6NYMUZ82kp8vFZMUURR21GjRQHeX9RxlDPUrk0LF0UB/vzT+f3ZS/XqFHsdzfq5915GtXuKIAoY602t+ok2bOgdGQf+QmhoaJ6LCKKCEfisKKpSu3Zt7NixA/V8OCxKj0hRZyPXnCmwBNxqfG9LJNKAAUwxSk11XeVFTyMjQ4sQ6NfPNs8fKbRkHyVKsIOoKIxKdgY1/d5IQ3zBvaiDiR07tM68rWzcCEybxu0XXgBeflnftjmLvTYtamSHiKL+iV6D2fh44OuvuT15smujr/SmbVvg6ae5/fnnmkevPdy4waIuADMZBO9HUVhkFAAeeMC+tP1//+V5VLMmJ8cF2+nYkcEEaWmMFtWDxx5jX/zYMXq9upp77gHGjaO42bMn08LLlKGtTE6ULQs88QT7qJ5mo2Rk+rwUWRIEISs+PTdisVgwfPhwn59RUIsbOSJ06ZE+Hx1NrzZnUKNMQ0Ntm7ELDOSDf8QIzpLv3+9/6Q+7d9Mrr3hx2yMLJH3efpo3B44eZSTHPfc4vp82bVgk5MIFpiJLtK7vERHBVO2EBJ4vjRrZ9neKwghRqxUYPhx4913P80q2N31eHVx5Qvq8p5KRQbH58mUuMTFcZ2QAgwfz3u6t6CWKfvMNn1u1awOPPup8u9zNK6+w4NLRo8A//9hfqfqXX3h+lCypT8Emwf2cPMl+dEAAcP/99v2tGnEsUaL2o0aLdurEaNH+/Z33Fi1ThpXaFywAVq2iFZirixSZTJo/bv36/FlmJs+xCxfopXvhAu/RUVH0r/W0/oaKkenzUmTJNzCbGaGtbvs6/vZ5XYlPi6IAfF4QzcjQjKIdKbSkpgQ7Mzuopu44g5o6b89nqFoVGDSIKWm//UZBtWJF59viDcTFAWvXcvuhh2yPLFCrMIsoajtRUSx8s3u3c/spUoQ+U5s304i/d2/P7YgKjmEy8R60bx99aG0VRU+epL9VUBDw4YeeeV5cusS1renz6kRbcjL/tmRJY9rlLaSmMnIoq/h55QoF8ezYutUzCmw5gqJo6ajOZKFs3AgsWsTt997zjRTH8HBg7Fhg0iTghx/sF0VXrOA6Ksoz7xOC/axfz/X999vfj1cLnIoo6hgdOlA43L2bkxQ9ezq/z8GDKbJGR9MS57773H+tWixaoc3Gjd3bFltJS9MCOfSuqXPypBRZ8hWCg7XxsD/gb5/XlYjG7OUEBDAlC+AD3V7UCsmXLzveBj2KxqizgfZGlQwaRD+Y9HTgu+8YfeHrpKZyMJWQwHSpbt1s+7v0dBaBAaTgiD20b8/1gQNaZLWjDBrEmb0DB4B165xvm+B5qGnm9oiA165xfdddjDT1NNLTOcgDNN/UvChRghEoisL7lTq48UeOHWNxnfnzgb//5vUfG8vvJjSUUZDdugGjR2uFc5zx6HY3e/dS+A0IABo0cGwfO3cyistqpYd4p056ttC9jBxJkeToUX5P9qCKA66ujC4Yw8mTXMxmVhC3h4QE7fwRYccxYmO1NOpy5fTZZ8GCnPgAaG+wZEnOk19Czvz9N63VSpWyvd9hCwkJwGuvMaioUyfP8lAVBMF9iCjqA4waxfVffzFFwh5Uq1VVLHMEPaIz1RRLezv6+fIBU6bQFygzk75AvlzIxmplWk50NCMP337bdiH55EmKG0WK0I9VsI0KFYC6dfndO1McA6D48eyz3F6zRuuMC75BfDxw8SK3mzSx/e9SU7nWY4LJCD77jKlmhQppaTt5YTIBr7/O6yc+nsKo+jn9hdRUisnff8/vICIC6NyZBbTeeQf4+WcOmGfOBJ5/nmmX6nlj77PcU0hL04qMDBvmWDrqgQNMM09PB3r0oP+mL1G8OLMGAM1L0laqVeP6wgV92yS4HkVhvx0Aune3P5r+zBmuS5d2rNCqwMyM1FQGCtia2WEL7dsD48fzObhzJ7PZHPEQ9lcuX9bujaNH6+d1arVy3HTuHIvUffed+6N4BUHwDEQU9QG6dKHQFRsL7Npl39+qouilS7cWO7KH4sWd9w1zVBQFmHI6eTIjZhUFWLiQhU58DUVhUaljx5gK89Zb9nWiVf+cxo2lE2Avqs+XvQPY7OjWTUvRWrjQuShtwbNQ/Z1r1OA92VbUe68niqLXr1PcBICHH7YvkrVAAQ5A8ufnRM6CBf4zMDx5kj6xO3fyde/ewFdfAS+9xIiwJk347Lz9Xqw+A73Vi3XjRgrAJUvyM9vLyZP0C09Oplf2vHm+kTZ/O2qGh1os0VZUUVSdfBG8l6NHKc5YLMwisRdVFJXMH8e4cQOYPp3bAwfq3y/u0AF49VXud/du+gF762SXK1EU2g4oCm1CmjXTb9/z5gEbNvA5u3ChePv7AomJmoduYqK7W2M8/vZ5XYmIoj5Avnxa2o0aoWEr4eFaCr2jxZJMJuerXqodBUdnAwMCOCurildLlnBw5kts2qT5R02caH9HOKsoKtiHel5t3aqPWDFyJG0fMjIY3ezNqbKChmrfYW9BLlUU1ds3Sw/eeosTbhUq2F8EBKA49sEHHPgfOwYsW+bbqYRpaRzQffMNB92lSvHzjxxpW7EIVRT1xsHzjRuaP+ITT9j/PD9/HnjhBYqq99wD/PqrMQU2PAHVL3bHDq0olS2IKOobZI0S7dPHMZ93tc8uoqhjzJ5NUaFCBeDee405Rtu29A82m5nFtnChd97bXcnBg8CpU+wzqJmQerB9OzB3LrdnzZKxkC8RG6sVA/UH/O3zugoRRX0EdZb5n3/sj/jUI4XeWVHUmUhRFYuFqcn9+vH1qlXA6tX2DTg8lYMH+XkA4KmnWBHdXkQUdZy779Zm5fbudX5/AQGMvitVipF48+drxcYE7yQzk4V0AC011lY8NVL05EktkuaJJ3iPdYQaNTiRA1AE8rUJK5UzZ4BPP9VsNu6/n6nf9vhqqkKiN0aKrl7N66BePaBlS/v+NiaGFgJXr9Ku5PffPdNfVy/q12el6pQU+zJ87rqLE9EJCVqhTMG7sFoZIRwdzT6v2me1F4kUdZykJOD997k9cKCxVZxbtADeeIPHOHiQtineeH93BenpwB9/cHvAAP0KNEZHA//7H6+9Rx4BHn1Un/0KguA7iCjqI9x7L709k5LsH3DWr8+12sFyBGd9RdUOgrO+MSYTMGKE9sBbv57ebd9+y0hLtbiFt5CSQhFu4UK+7tHDsZTE1FQKHIAY8juCxaJF9ugl6BQqBLz5JgXSU6fYQV+xgiKp4H2cOcMJmCJFtGguW/FUT9Fx4zhIiYy0X+i9nebNtaiPP/8E9u93vn2eQkYGB3JffklRr3hx4N13geeesz/611tF0XPntAmjp56yLxX1+nVGiEZHA1Wq8Lu0x37CGzGZtGeKPbYswcH0wgN8J1o0Lo4Tg++8A3zyCfs7f//Ne8Tly953LeREdDTP7fffB1au5M8GDbK/4ryKiKKO88UXnIgpWVIrVmskzZqx/oHFwqrnP/2kFZgVNDZuZMZB8eJA//767feDD7jfyEh6eAuCINyODzo1+SdmM2fV3nqL0Rr2POTVSNHz5/mQdiRas0QJprk56kuqR6RoVgYO5KDqm2/YET1xgssffwCFCzPaompVoFIl/Qy89SAzkylRJ05QxDx/XhNxmzal4bgjvkfHj3PfJUoAZcvq22Z/oVs3egJu3sxUWD2oVAmYOhWYMYP/8y1bGGVWuzYnOkqV0uc4nkBqKoWTM2cYFdumjfNexJ6EmjrfpIn9USdqlLAnpc9v3MiIFpOJhYH08Ft78EEKOQsXAosW0XNUFXi8kaQkXrd//62lMnXuzPuDo1GO3pg+ryiayNO5M1C9+v/bO++wps42jN8JIAgqCrgVF24cuK3WUfdqa+tCa7VaW7W27lGt2trh/Fo7tOPrnna3jlpXrXXUzVBxi6LiAkQ2QvJ8fzzfSUCGBJKcc+D5XVeuhBCSO4cz3vd+n1Hwv01KAubM4fNCzZpsmNsrOkjrDBgAfPQRX1NeeKHgx1iDBpzZc+2a7QswWsJsBg4d4v+5MgZMS+MxW1YMBh7P+fnxrUoVoHFjfdSaTUnhxYKwsOwmdvnyfKwUNko0M5PHh4CYoraSkcHjLoC3f2EzIGylXTteLJs7l0vJfPcdf76W5iBqcucOsHs3P372WfuND6OieGxtMPA2L64lWQRBKBo6GFIIBWXUKDZFDxzgi0tBu1FWrcoDzZgYHmQVJurTaOQUeiVF21aKWlM0N/r35yZUly9bzaajRzkq5cgRvim6AwJ4cuHsottEHAmhmLaXLuVcPa5Zk1eZx44t/OBNmiwVnd69eRKmGHv2MnNatuQU20OHOHrg6FGuPXX8OJumDzxgTZnUE3fu8Ha6fJlvN25kj9K+fh0YPdp+CyFqo5iihYmo1FqkKBFHOQJ8Hq1Xz37vPWkS/+/37uWO9N27c7aCHiYqGRm8L58/z4tWWU2OChU42rGoten02Gjp+HE+L7q62paWaDJxWYWzZ9kk2rat6KV49ESPHvz/vn6dr/0FHXs1aMDbSs+RoteuARs3AtHR/HPTprzvpKTwtoiK4tulS1y2Ji6Ob2fO8OvLl+dzR7Nm2rs2mky8T4eF8dhLue4Zjdw4pk8fvk4UxdSNjubP8fLiMgxCwfn2W963KlTgOYIzadUK+M9/uFRIZCRrCQ7mhrElne3beZ9u1sy+0bu//cb3gwZxMIwgCEJuiClajGjShC+4R48CO3daO1zfD4OBo0X/+su2gfm9FMUUtVf6/L0YDGxe+fsDQ4dyRFZoqNUkvXaNByaRkTzJ8PHhCUeDBvw39l5Bvn2bB2M3b3LqTnR0zu5xFSrw/7F1a76vXLnon6v8XyR1vvCULcuTsG3buCzDyJH2e2+DgaMI2rXjSd8PP/DxqOyblSqxMd6kiXOjClJS2Ky9dImPhVKleBKf9Zb1ubt3raZxQkLO96talSe/u3axufTrr1wOwpH1vJzB7du8qGQwFO4Y01pN0e+/53Okhwcwbpx939vFBViwgE3XU6e4ZMT27WyMtm/PaXNa4vZtTuONjOQyF2Zz9t/XqcPHbXBwwRci80NvkaIZGdYGj2PG2NYw5tNPeXHSw4PHLLZEmBYHvLzYGP3zT06ht8UUBayGop7IyOBr24EDbBa6uXFZjYEDrdeBrAsLRGyGKgZpVBTXzo+N5evHvn28DdUyO9LSOJggJobPFbdv8zUwa/PEBg04KvShh+xzjgCsqfMNG+r/+ulMTCZOYwe4wZUaUZrNm3Ot7unTeZ/++mu+fmgpU8TZREXx4hrA5wN7LXQkJ/P5FeBMO0EQhLwQU7SYMWoUm6J79xbcFAWym6KFpSgRHvZOn8+L0qXZXOrYkQfbV67w4PzAAd5ucXGcyrZ/Pw+W6tblKNL69QtX9yk1lSfTSiTo7ds5X+PhwYZAq1YcyVmnjn0jH+LirI0/pMlS0Rg0iE3RTz7hCM8mTez/GQ0aAC+9xFEzP//Mq9w3bwK//w6sX8/GvZ+f9d7Xl29eXvbbb9LSeJL+77+Fr3tlMPB3CQzklf/AQKthMmAAR0qcPMnGmCO2ozNRGqU0a1a4tGmtpc8rzZV69eL9zN6ULm2tofv773zdUaL3mzcHunZ1zOcWFCKO3jt0iP+3WSOc/fz4PKosXNlbp3IM68UU/ftvXgCpXJkXHgvKzZscJQVwWRJbmlEVJ3r14uMgLKzgNfQUAzAxkbd9YWtSqsGOHTzeAniR8bnn8jfSDQbrNS4oiJ975hkuv/H555yB8O23VuPRkbVoiXLPgMgNHx/+3/bpw2M6e5KRwVG2gKTO20pIiDVI4PBhnre0a+e8FHqFpk2Bd94Bpk7lecgvv1gb5pY0MjOBTZv48YAB9i0JsmcPj68aNeLFE6H4YTRa57YlYYGopH1fZyKmaDFDqUFo64RKGWxGRfEFqjBpPVWrchqPUufIFpRoyfLlbf/bwmIwcGp6zZocraZExf37L5uIt2+zYXPqFL++UiUeQLm58d8ajXnfJyezGXpvJIfBwIOhgACOCqlbly/WjjKDMzI4PfH2ba7BJYOCojF2LPDNNzypW7yYO007yrypUoUnjE8+CWzYwIPG6GiOkImNzfl6d3erSVqxIu9bVavaZpSmp/N327uXoz4BTp0eOJDfPy3NektP58Gm8jgtjff9Ro3YAG3cOO+aUC1bctrapk1sPunZFI2N5YE3wI3QCvsegHZqKfbrx/vB1q2OSzkrXRoYPJgX78LCeFK4ezcQHs41+Fq14g7mzjJ8kpN54ercOU6PzxrB37o1p722bs3XC0em6yrpwbZEXKrFpUvWxnPPP29bCujNm3xfpw4wfLj9tekFZSG6UqWC/03p0jyOOHGCF5aK2gTNWaSl8cIHAMyfz6ZhYfDw4EyNgQPZEP3xRz5uzp/nTt+dOhUtNd1k4jJLSsp+bCyPoW7cYCP6XqpV4+tktWp88/fnBTJHGG3KmO7AAV64V5rXCQWjUSO+pm3YYF2Iq1yZ96X+/Z27GNeoEdeTnzSJ993z5+1bqkYv7NzJ1wMPD/t3hVcyloKCtFdmQ7APpUvz3L2kUNK+rzMRUzQPiAgGHZ5BlQuArRFHNWvyJCw2lle/C7OybTDwBHfNGtv/NimJ79WMDvL05Ailrl05RfLsWWuavdIFVZnI2UKtWryq07o1R4Q6MxrsvffYYPDy4ojD4tTYRg3KluVI0Q4dgIgI4JVXuD6UIxs+lC3LE8DgYN7/lPT0y5f58eXLbCymp/OChLIosWMH72sBATzQrlcv7/TsjAy+yO7da037q1ULeOopnmQ6YjVSafiVW/S0XiAC/viDzxdt2nDkU2G4dYvva9a0n7ai8NJLfO7bvBlYuJDNf3ulfd6LwcAmecuWHMHz6ad8zj1yhKM027XjzvX2Pm+azXz8KCbovQtYpUvz/3T4cDagnEVICN9rvbZmejqnLwNsJnTqZNvfK+cZR+1XemHHDr5v3dq2v+valcclERH6MUVDQ3nRvXZtoGfPor9fuXLAxIm8/739Nmf7/P03L7L065f7Yk5mJi/mpaRYb0lJVuMzNpYN0azR4VkxGDhlPTDQenPWAkZGBo859u3jhfSNGznrSSg4Zcpwxs3Zs3xd++wzNrs/+YSvPXXrsqGt3BxdzqVBA+Cxx4CffuIyJHXrlizzLuvC2oIF9g+McVRpNkEQih9iimYhMzMTBoMBLi4uujREAesqtq0TSIOBV9K2b+cIx8Km+/j5cbqQ0om2oCi6nd3oKC+MRh74NmzIkXp37nCqzblzHEVgNvMt6+OsP7u7cxpo69bqfadNm3jwZzBwjUA9d6nVEmXLshnQqhVHtb3/vnNqFRkMHNFQuXLOCXR6Ops6UVFs9Jw6xRPElBTWGB7Or6tWjU3SgACO6jab2Xzas8e6MFGjBtcG7N7dsSll1arxvZ5N0ePHObrQaASmTSvcZEZptgZYjWK1cXHhiOi2bdkwXLKEu+Y6OsWwYUNg+XI2NT7+mLfvv/+yQevjwxOmChWs98ottwhFIj4ukpN53856f+sW/9+UBlcK9epZa/s2ber8JmAxMWzqANpvCLF5M18Xq1XjiHZbUUpGlC1rX1164vp1NjaVhQFb6NoVWLuWz/mJidrfjkTW6JbBg+1r/Pj7A6tWccTZ++/zcfTtt2y+urjwdVAxQpUMiPvh7s7XSOVWowYvWjVooE5TuIwMPg/v3Ws1RAsbaSvw+XXVKuDVVznS+P33uWyWErGpNOepXNlaAqhZM96n7L1I/MQTXEbm+nUOYmje3L7vr1XS063buW9fXvy0N84qzSYIgv4RU/T/nD59Gq+++iquXLkCT09PLF26FC1atLA5YjQ9PR3pWWZaCbl1G3EgirlYmIhAxRS9eLFoGtq3Z1PGlvqkim41I0Xzw9ubU8/1kn4eEcGREwAPpAcMUFePrah9HN2PBg140vXII5z226iRuhMUd3deyMi6mJGRwRPuQ4fYVFKi4aKjuVGFhwdHuCpmaJUqvADQu7dz6mvp3RRNTbUu/owdW/gOwAkJVnPO3qZoUY6jChV4wtK2LRvs//0vR2U5gxYtuN7agQMcwXPuHBsdMTG5v750adbr6WmN/EpOvn8ZmXLlOBq0bVu+qZ2y/uOPvFDh76+dqOHciIhg49pgAObNK1wUrxIpqnUzD3Dc9UiJEg0IsD1itlIlLjsSEcEp9O3a2UWSwzh3jlPR3dwcc600GLiRUYcOwBdf8LGU11jWaORj39ub78uXtxqfignq66udem2ZmWze7dnD22/DBr5O6w0tjutKl+Zxz5NPcuPVvXt5O+/dy9e9Gzf4phyrXl58zXjhBfvNV7y9eQzx3/9yb4cmTRybfaQVtmzhqOzKlR1XBkIiRYs/KSnWElwREdqpze8oStr3dSYl4LR7f06cOIFu3brh4YcfRo8ePbBhwwaMGDECR48eRWkb3cWlS5filVdecZDS+6OMMQrTxbhVK76/coUn6bbUB8uKwcBm0TvvFOz1JpN1gqT2pLQ4EBsLLFrEpthjj3HtLr2h9nFUEB5+mFOLX32VIw5q19ZWdJebmzUtecIENpQOH2aj6fBhqxnq5weMHs3phs5cTVdM0ZSUop1v1GL7djbe/P2LVhNRSZ2vWNH+EUhFPY4CA4GvvuIGOt9/z/u3sxaGDAY2ONq358lqXrc7d9igViIP78XTM3tUaYUKbCgFBXFkqrMbbOTFnTu8wAI4JmLGXiQmcgYCwGU9mjUr3PsoNVv1YIo66nqkGC3K2MtWunblSVFEhPZNUaXZ4yOPOLaMj6cn12js35+zIDw92XRSbuXK8fhYK4bn/cjM5IXt3bv5+rx+PWdj6RGtj+uqVuX+AkOG8M9JSTxe2rOHb/v383O7dvF1+6237Ge2Pf44L0LeusXHygMP2Od9tcrp09ZSMfPmFW7OWhAkUrT4Q2QNwsqr7ElxoqR9X2dS4k3RGzdu4Omnn8YTTzyBt956CwDw0ksvwd/fH1988QUm2hga8+KLL2LGjBmWnxMSElDTiSEfhU2fBzhSrFo1axpuUQyeChW4cLnSIRPIu2GGYs64uEh9saJy9y43AIqN5ZWkzz/Xz+A/K2ofRwVl8WI2GDdvZiP6gw+0uw/7+XGKUt++vBBx6hRHabZrp84quqcnR+goDS2UJnF6IDKSo0gAYPr0om0/R9YTtcdxNGQIT1qWLQNWruSoNmfWuzQYrA1MciMlxWqQJiTw8VehAkfx5JVar0V+/ZUncFWq8DbWIkRsyqSn8/hgzJjCv5ee0ucdcT0i4oUVwPZ6ogpdu3La76VL2k6hj43lSFGA6847g1q1tF+X934QcTkRxRD9/Xe+fusVvYzrFMqUyZ4hlpnJxmj//rwQsWoV8OKL9ikF4e7ONdxXrGDTNSio+PYASE7maGcAGDbM9tIhtiCRooKQO8lZu4nmgaenp27LSRaGEm+KhoaGAgCeeeYZAFxX1NXVFXXr1i3QDnMv7u7ucFdxFlbYRksKQUFsikZGFj3qrVUrNl6UwbC/f+6vy9pkSY8GnpZ4911OmVYaK2l1knQ/1D6OCopSe7FNG65R+NprbB5pJfosL1xcnNs8Ji+qVmVT9PZt/Ziid+9aI+UefrjoA3pH1hO113H02mtsAm/dCqxeDbz5pnaaQXh6WhuJ6ZWUlOxRolrZtvdy6BBfz11cOAOhKNE3ekqfd8T16Nw5bpLn5lb4aNvKlYHGjTl9/tQpLgGhRZQo0Q4dCl9mpCTyww9snLu48KJJv35qKyoaehnX5YWrK5+ff/2Vyxds28Yli4KD7fP+vXtz2YfISI5MLY41Y4m430FyMmdXjR/v2M+TSFH1ISKkKBf8PCiM3yIUjcqVK9/3NZ06dcLu3btLjDFa4i2oPn36YNSoUWjcuHG25ytVqoQkxa37P5nK2VXDFCVSFGBTFOCLclExGIBBg6w/57UgrGiW1Pmi8euvHJlrMPDASkup3MWZChV427u7c9Top5+qrUg/6LGu6I4d1jpYzz5b9PdTTFENB8zAxYU79bq7cwdpJe1XsA8bNvB10NeXTS4tcusWm+IAMHkyT2iLgp5MUUegHENNmxatbEaXLnx/8mTRNTmC9HRrmuzgwepq0ROHDwMffcSP335bf3XhizM9enAAAsB1QPfutc/7urgA/4/Pwf79XFKluBEezucqo5EX1hwdwSmRoupCROjcuTPKlCmT760gBp1QdDw9PdGpU6cCv37v3r33NbSLEyXSFL127Vo2w3PK/ys8m81muP6/urXZbEZsbKzlNR988AE2btwI0ngBh6I0WgKspuj169ZJS1EoVw4YN47r4wQG5v4aMUWLzq+/Wmu4vv66/iMK9Ebz5sBnn/Hjb7/lRkbC/dGbKXrpkjXqaeZM+xQ4d2T6vD2pXZtr6AKcsisL+/bh7l2OCAOATp20mS1hMvE1xmTiqHh7pEDrKX3eESip84WtJ6qgmKIXL9pnzGZvwsK4vnnNmrzvCPcnOprriJrNPH6ePFltRcK9TJ7MNyIec1+4YJ/3bd+es0/MZmDnTvu8p1ZISgL++IMfP/WUcwI3xBRVl5SUFOzbt6/Ar+/UqRM8pXOQwzAYDNi9ezeSkpLyvd24cUNtqaqgweG3Y4mMjIS/vz8eeeQR3P7/TFyJADUajTD9v12tm5ub5cBctGgRJk+ejIYNG2o+hFiZYBe2aLWPjzUCpKhd6BVq1uQ0kLy6KSr+tJiitkPEkYmKITpjBtf/E5xPcDDXlwSAN96wRscIeaOkUp4+bY2Y1CpEwJ9/8uP+/e2XqhoXx/cVK9rn/RzJrFk8kYmL431cB8kTmufQId6eZcvy4orWuHuXm2xdu8aRwnPn2se4TUvj++JaNy8/0tKK3mRJoVo1rkFLxCn0WkKpwQhwgyUtGv5aIzqaz7OJiWyQrVmj3XIaJZ3VqzlqNDUVeOkl61ymKBgM1gyUsDAeGxUHrl3jwIG7d3kMYa+SA/lx5w6XEwNK5nVGa9y4ceO+ZlxJStVWC4PBAC8vr/veSiIlbogSExODypUrw2g0YuTIkYiLi4OrqyvMZnO217m6usLX1xcrV67EqlWrcOjQoRwp9lojMhI4c4YHnkVZgVNW88+etY+u+6HUQfXzK9jrjxzhYuSXLztOkx7IyOD6lV99xT8vWsSF3+V6oh7Ll7Nhlp7OBfjFGM2fzp251nBSEvDxx/ZbiHEE0dEcQW80WlPc7IFSS1Rp3KRl3N15YuPmBuzbx+fhey6dgo0oQREuLtqrRZyYyM36zp5lbUuWFPw6fT98fPj+yhX7vJ+e+PVXLsFRqRLQqFHR30+rKfQ7dnAWQIUKXC9RyJ+LF4GpU9lAqlcP+PnnopVWEByLmxtH+depw/+zZcvs0w26USNrNP5PP/G4Q68QAQcO8PguLo4Xf1980fHXurg4DlK4dInPP48/7tjPE+5PQYy4whiiBgM3Fm7SpGTMf0va93UmJc4U9fDwQOnSpTFw4EAkJibiiSeeQGpqKoxGI2JjY+Hy/zN1qVKlMHfuXLzyyiv4559/0Lqw7UGdyO+/833z5kXrgN2hA9+fPWufC/z9UNLnCxIpZTLxwGPzZl5NLW7pJQUlKYkHFlu3sknz0UfAK6/ICVJt3Nx4ItOvn9UY/eMP5xxHesTLi2tzBQayyf/VV9aVfa2hmJYPPVS08+u9KItQSr1GrdOpE+/jLi7caOLdd2X/LgpKg6j4eGv0pBa4eRP45BNrhOg77wDt2tnv/ZXGi1qLbnQG//0v3/fvbx9zoGtXvr9wQTv70MWL1ijR2bNLbpmEgnL6NBuiMTF8Pdy9W5pS6QEfH67h7+bGtUWVUihF5bnneGyQmcklmZR5kp5ITeUsgz//5MXTBx7gc1+dOo793JgYNkQjI7mB57592i9PJBQeT0+eN5w4YZ+SVlqnpH1fZ1KiTFGz2YyaNWuiWbNmCA4OxtSpU5GYmIhRo0Zh8ODBePvtt5GqFLr6P4cOHUIbnRRC+u03vrehhm6uNG/OqQbJyTwhcjRKpGhBTNF//+ULHsAX3CVLeLKWkeE4fVrj1i0ePB85wlEEGzcCEyaorUpQ8PDgTtIDBrAxunIlsGCBNU1ayE65chzh/OCDPHD+6Sc+zrXE3bvcIACwf8OLoCBe2Dh7VtuRslkZNIgNbIOBrzuffKK2Iv1Srhw37QK0ExEUGcmRPXfucCTzJ59wVII9Kamm6NmzvJhrNNqv9re/P1CrFp8/tZBum55uXaQfMADo2FFdPVonPJxrVCckcFmWv/9mM0fQB61bW0tYffQRcOxY0d/T1RVYvJiP68RE4LvveByiF6KigA8+4POR0Qg8/zzw2mv2XVDOjZs3gWnT+PNr1uT6/vaIxhcEofhTokxRo9GI8uXLIz4+HocOHcLQoUMxe/Zs/Pvvv1i/fj26deuG0v8vPPLpp5/i/Pnzmk+ZV4iJ4ZVlgFNSi4Kbm3NT6G1Jn1+/nu9nzuQoPIBT0aZOBUpCXeALF7i4+4ULPJHes0eaKmkRDw+eFC5fzsfTv/9yYfldu9RWpk3c3XkCoHQn3roV2LJFOxGIJ05wxEb16kCLFvZ9by8v7kANcOSlXggOBtau5cfffMOTNqFwKOVutGCKhocDX3/NC42BgcB77zkmYk0xRc+dK1mLmu+/z/dt23L6vL3QUgr9li0c+VylijQJuh8HDwJz5nAQQteu3IBL6uvrj2efBUaO5IWJJUvs0zyyTBmu3e3uzgEqv/6qnTFRXpjNbER+/jnP7WrU4HPeY485PpPt2jWeC169ytGo//zD9ZYFQRAKQokyRZW6oX5+fpbOWj/++CPS0tLQvHlzvPvuu9k6ztdxdIy/Hdm4kS9GAQE8EC0q7dvzvaNN0fR0vgH3jxSNjuamFAAPtN94A9iwgdOyTp7kOn8HDjhWr5ocOQK88AIb4I0acWqaDqo6lFhcXHiyc+QIdxNNSABefpk7leoxFcrRuLhwNIHSZGD/fk7T/n/vO1VRasMOGOCYgb3eUugVJk7kciYAR8hs2KCuHr2iTNzUNEWJeBL56688lujaFfjPfxwX2ePnx4tHmZn269ysdbZtA95+mx8/8oh931tJoT971jqmUoMzZ6zny3nzJL0vP3bt4iyS9HQupbB5M0eOC/rDYAA+/BBo3JjH6K+9Zp+xS7VqnG1kNHJUvZZLhiUmcgbJzp18PenVi7dJgwaO/+wrV9gQvX6dFxl37bI2DRaKNykpHFjQtCk/Lu6UtO/rTEqUKWr8f+vLXr16ISYmBqNHj8aOHTuwbds2zJ8/H2fOnMHkyZNzNF3SA0rqfFGjRBUUU/TqVV7BdhSKOeTpef/B86ZNfN+7N1C3Lj8eOJAjW9q2ZdNp3jxO9dOCkZIfcXFcW+eFF7hr5VtvAV98wabCvn08+Ll1y9rdeetW/m7JyRwRsm+fXPD1QrNmbNYvWMAD2+3bgXHjrAa/YMVgAEaMsG6rEyfUT6W/dYubuhkMQJ8+jvkMxRTdvl375657mTvXGrX/1lvAX3+pq8eZpKZyh+AjR4r2f1NMUWeUq8mLrVutE+7hw7lxX6lSjvs8o9Fa500L0Y2OJjISGDKEDed+/ay12+1F3boc0Ws2O69J5r2kpFizeYYNs39UfXEgLY2jQ999lyMKMzOBoUN5MUI6ZOubMmW4/I+HB9cg/+IL+7xvs2Z8nQU4I1CLdddPn+bMkYsXOfV/7lxg/nznLIpcusQp87duccDIrl1SQ7QkQQRERPBN65HU9qCkfV9n4qq2ADVwdXXFvHnz4O/vj40bN6JVq1YICgqCwWBAmzZtLOapXkhJ4ULWQNHriSr4+fFE7dw5vjlqcFvQeqIZGdywBuDopKzUrs0DhZkzgTVrOPXvxAk2G5UOt1ohOpoLj2/eXPCUQW9vru0G8ETjiy+kI6neKFWKIwcGDQKefJKjaebMAR5+mPfngkyGTCauKeXhUfwbavXsycfHihUcvRYUxGnmaqA0WOrUyXHnk4YNeUIVH88TZr3V4Hv9ddb+/vscwV+6NH8HIutNIetzWuy4nhdmM0ejRESwiRcRwRGOyhpq27Z8zSlMpJeSPq8shLk6eWQWGmptijN1qrXzsaPx92cDr7jXFU1J4dIgCQk8aZ82zf7ncIOBo0W//Zb3z8BA+77//SDihevkZK6DOH68cz+/KCQn8/8oNZVvyuOsz6Wm8rFerRobLjVrFqx5lMnE+/iRI3w7fjz72G/cOI6y18t5UMifJk24HvMTT/BcpGNHjh4tKr178/Xm++85CMbX1z5ZgUUlMZHnnxER/HO9erygppRHcTTnzwOzZvH4o1kzXli2Z1kSQRBKDsXOFDWZTJYO8nnx1FNPISYmBt27d0erVq1ARHBxccGQIUOcpNK+bN3K6TdVqlg72dqDDh3YED17Vn1TdPduvuhVq8bRoffi7s61zzp35tqNISGcTj9nDv9NRgYbShkZ1pvy8927PAlt1Ihf6wjD6cIFnqzs3GmdRHfowA2S0tM55ePaNb4pj2/c4AmyYojOmsU1KnXm2QtZaN+e98158zhSZP164PBhjhh2d+cI4rxud+7wvuPiwsaLt3fe92XK8H6i3Fxc+N5gsD42Grneafny/Ddubmpvnez06cPRM2fPcuMJezc4KgiZmdYGS/37O+5zXFx439ixg6Mt9GaKGgx8/r1zh89z8+cX7O9cXXnC2LIl35o25ePAURCxKREaytvczY1vpUrlfp+SwobdyZN8S0rK+Z7VqgGxsRz5PXEiR3/ZWsesYkU+dhMSuFFEtWp2+boFIjraWvZg7FjnGaIAm2dA8TZFiYCnn+aI4goVeP9wVARuly58/J05w2MbZ57Tjx9nY8Rg4OPfkVHGReX6dT4HKLfC1qP39mZztEYNq1FaowZ/96NH2QQNCbGOcxVq1uTU4oEDuYyCjOmKF6NG8Tn1++95ocBerSkmTOCI84MHgXXr+Ge1FouJeP/eupXPNQYDB22MG+e8Y3/PHl6ETU3lhfNt26QeryAIhadYmaJnzpzBhg0bMHLkSFTNo3VjZmYmXF1dMXv2bMtzBp2HXX3zDd937mxfQ699e17pPH+ezRhHDNyU9Pn7NVlSJm3jx+c/0B8xgg3cIUN4gK6knBSUChU4wqJZM96eRe0Aevo0R3ZmTQHu3ZvTTbt2zf//ZTbzZPvaNY68UqKJBH3j6cmdSh95hA38y5fZJC0oJhMX8bdHIf+slC3LBmmFCnyf9XGFCjzY9PPje2dMto1Grh08fToPvtu1u//iib05fZqNMT8//nxHMnQom6Lffgu8+qr+ymMYjdxcwWTiyWBByMzkTr3HjnEtMjc3nkAGBfH1p1Ej+1zTiIC9e7kZlBLRUhhKl+Y6zh06sL4OHdgECQvjRhIXLgDPPccLWL16Ffx9DQY2Uo8eZcPGWaZocjL/r8xm4IEHgNGjnfO5CiWhA/1bb/F+5+LCzeQceQ5r0IAbMN64wQvazuoTmpDAde0BNtadUUPQFlJTOeMgJCRvE9TFha+BZcvyomJu90ppgjNnuLTUnTt8O348/88vVw7o3p3PCb168VhO59MO4T5MmMDn1l27eNHbHkahiwtnI0yezFkLP/zAmUfOjjK+dYvnZJcv88+NGnGmnrOaGhHxvEopT9C9O9efr1DBOZ8vCELxpNiYoufOnUPHjh1x+/ZtxMbGYsaMGfC7x2kjIrjek5dmNpt1ly6flQsXuIYNYP+BaOPG1uiVS5e4m5+9UaIg8zNFY2J4IGs0csTF/WjcmFdSp07l1VSjkaOPPDz4PrfbnTtsvNy+zVGpu3dzgfA+fXiiWJg0lT17uLGOycQD4CFD2KQtaHMko5EnUM42ggTn0KMHm0EzZ3LEqI8P72fKrXLl7D9XqcITs9u32SyPjeVjI7fH8fE8gTOZst/ufS4tjf/OZOIFisRE60A3P8qXt5qkilHq68uRX82b22/C17Ilp63v3cvHk9Kd3lmEhfF9v36On3j4+/M2jI3lha4FCxz7eY7AzY3PuWvWsOFpMOR9A3hytWsXR9Dv3MkLQOHhfPviCzYPHnkEeOihwtfbi4kB3nzTujDl5sYGpqcnR+mnpVkb/t37s6srn68VA7RZs9wXBFq04IjvUaO4NMobb/Brbblu1K3LpujNm4X7noVh+3a+vtesyQt1zhgKmc183tu5k40qgMcXxZG0NOuCV9eujq+xaTBwtOiPP7Jx5yxTdPt2zrhp1IiPAXuTkWG9xsXEsJlftixHaiq3cuVynqMzMzlS78svOdtCwcWFF7m6deNbhw78frZct5KSrAbp6dPZ75OT+T0VE7RdO+eXxBDUpVs3DqpQrmlK3fCiUrYsl6t5+mkgKornKt262ee9C0JUFAfLZGTwPj1xImcXONOY/fNPqyE6dSqwapUcX4IgFJ1icRpJTk7G0qVL8fDDD6Nt27aYMmUKMjMzMWfOnGzGqBIRunLlSqSlpWHhwoW6NkQBnswEBfEK+EcfcT2b6tXt894uLsCDD/KgMizMMaZoTAzf16hx/9dUq1bwOjVeXlzX5+OPC64lNZUntnv38kV31y6uY7plC5siTzzBRlVByGqIDhrE3SMbNiy4FqFk4O1t2z4KcNSKPYvIm81stN68mfft+nVOs42O5slvfDzfzp/P+X6vvWa/2sYAR1Du3csTUEdFrOfG3bvW7/fQQ475jOvXeQHn4EE2xFJT2fzr188xn+csCprCVr48G59PP83RH+fOsVm2YwfXTTt7lic877/PE7+ePdl0L8g+QMSpfe+9xwaGqytHcE6bVvDzuC1UqGBtlkJk+yQtPp7vnZUOmZ5ujXCbNYvPK47CbOYI3Z07+boaG2v9nY8Pf35xxN2dz1/ffssNyDw9geefd2x6aYsWbIo6q2lXYqJ1P5o2rfDmSEICN5C8edNqfiq3gmRFGAxWo1QpI3PpEkd0Ajx+HTGCzyMPPFD0/b1MGR57BwVlf56IzVitlaMRnIuLCy9KXLtmPbfbC39/Xmx59VUeG7VqVbha1rYSGcnnssxMvg7Pn++Ya2l+mExsygI8x1q82LmfLwhC8aVYmKJGoxGtW7eGr68vhg8fDj8/P4wYMQIAchijcXFxOHLkCC5evIjnnnsOPlrrxGMjbm5s2nXvzs2FZs4EVq+2XwHuPn3YFD1xgmvq2Xswf+sW3+eXKqqk2Ds6NaJ0aTaBH3yQBxz79vFFd9s2Tg3780+O9lDSqMxmHgArj5WfMzN59dZkAoKDOUpBVjEFrWI0WiM97xdZRMQRN1evWk1S5fGBA7w4s2mTfU3Rpk3ZKEpO5gmGvRZ97ofSRKdaNWvtw6Jy9y4vMClGaFRU9t/XqMEpd61a2efz9ITBwAZp/fpcDzo2ltPx33+fzelNm/hWuTKbo7165f1/uTc6tHVrfi9HN5+5coWPkVKlbG/KdeEC3zurScSJE3ytqlmTo1rtDRFHzu3cyTWBs0bAentz1Pfw4RwxX1wNJIOBy0I0aQIsXMjjiAsXeFzhqAyQunX5XskAcHQE15Ej/L9u2rRoC7//+Y81cjg3SpXic3H16ryYcvs2jx8V05SIjdV763dWqsTb/plnnFPr0GAovvuzYBvKAldqqv3fu3t3XoQ7fpwXXBxdC/rcOc4CMZk46vXVV9Vp+PrXXzze9PMrvotpgm0YDNaxYEkoS1LSvq8zKRZWTenSpTFmzBh4/f8KNGzYMBARgoODQUSYN28efH19YTKZYDQasXbtWqSnp+veEFWoWJHTl7p25dQdxRi1x6A7MJAHoVevcqMJe6Z/KR0/gfxNB2eZovfywAMcaaREfe7YwbeCIoaoUNwwGKwGavPm2X936hSbqgcOsHFqr9OrksL8zz88MHeWKXr6NN937Fi0gUdiIp9HDh3iMiDp6dbfGY18nunbl29BQdJ0Q8HXl69l06fz//6rr7hUzI0bXF7gm2+4ZEyvXhzJ6+OTe3ToK69wwz1nnIeVyOKqVW37P2ZmWg1yZ5mioaF837evfQfWRHwO+Pxz6zEEcGTdI4+wEdq7t2MbamkJo5FLYbRqxY1IIiKAZ5/l8cGAARw9ak8qV+YF3tRUPg87svyOycSmKMAlKYqCsijw6KN8balePfvNzy/v/TQzk7/rvRGmLi68vzkyCloQ8kIxRdPS7P/eBgPXr540iRda27VzXC3qU6c4+lypPb14sTqN1LJGic6YoV6TKUFbeHoCFy+qrcJ5lLTv60yKjV2jGKKK8Tl8+HAQEUaOHAmDwYBp06Zh5cqVuHjxItatW1dsDFGFKlV4Ba1LFx5czpzJBf6L2onPYOBo0U8/5UmUPU1RJUq0WrX8VxyVjr9qFdHu3JlN5927+R7I2dX73k7f1apxJIwYokJJoVEjHpgfPMjnoiFD7Pfe7dpZTdGuXe33vnlBxKnbQNE6wcfFcUpp1jqt1atbTdCePTnqScgbo9Fa+++997jBw1dfce3OM2f49v77QNu2/PoDB/jeWdGhWVGMHVsnp5cvs7FTqpRz9ofYWP5Mg4ENSnugdCP+7DNrMyt3d6sR2q9f4evCFgf69eMx1ODBXFN17VquizdwIPD44/YzL41GThWPiOAFBEeaohERPD7z9eWxZ2Exm63Nj9580/ZSTa6uvJjgrAUFQSgIihnvCFMU4DFXr16czbZlCzc5s9cCV0YGXyPOn+eMCyIeey1YoF4k9D//8OJhmTJsCAuCINiTYmfZuLi4gIhgNpsxYsQIGAwGjB49GuvXr8f58+dx8OBBuBfTEIXq1a3GaFSUNWK0qJOsXr3YFL14kWvj2GvSpqTT3S81VUmHUtvHVlLrBUHInTFj2BTdssW+pqhieF29ytHl9o6uupfoaI5k9/LKGRFbUO7c4XPw5cucovz882yEBgZKykthKV2ao+2GDeNFte+/Z4P04EGrGers6NCsKKZo1aq2/V1kJN9XquScfUOJEm3XLv8mh7a832efcUMRgM3Q55/n/4E0CrRSrx7vq199xenip0/zPvzTTxztPGyYfTo4K6aoo5t2HTzI94MGFe1Yi49nE8ZozL++vCDoCUdGiio8/TTP+6KiOJuvSZPCvY/JxOOryEie60VF8WKFQq9e3CjW2Z3uFcxma5TozJnOqaEq5A8RIUVJ98yD5ORkJ6kRhKJT7ExRwNpQiYgwfPhwfPTRRwgNDcXRo0fRzBHFszRErVp8gezalYvMz5zJK+/e3oV/zypVrM2cwsLsF6lVkHqigPqRooIgFIwRIzgy8tw5jjCoV88+71upEp8nLl5k48nR0X9K2m+bNoWLikhM5HpXFy9y1ODOnfbbFgJTsSIwZQrfTp/mCdPZs8BLLzk3OjQrSvq8rZGiWU1RR2M283UcKHpDr2PH2AwNCeGf3dw4gmfuXPvVNS9ueHgAEyYA48dzjdxVqzgCats2vrVuzeZo27aFN8iVuqKONEWjo7mGrtHIpmhRuH6d76tVk3qcQvHBkTVFFSpVAkaO5IWW7du5pExBFijMZj7uIiP5FhXFCxNZ8fPjuV+7dlzDVC1DFOAeDxcu8IL4Cy+op0NgiAidO3fGvn371JaC1FRrpsI//xT/jJSS9n2dSbE0RQE2Rk0mE2bPno2dO3ciNDS02BuiCvXqce3Lrl35IjJ7NhujRamr1KcPT3zCw/lgtEc0S0FNUbVqigqCYBs+PsDDDwM//8zRopMn2++927dnk/HcOcebXmfO8P0DD9j+tykpbAqdO8fnrB07xBB1NA0bcuMHtSls+rwzmyxduMDX1HLlCl8aIiKCzdDDh/lnV1euk/nii86r+at3FDNx0CCuN/yf/3DdviNH+FanDtcd7dXL9vdWTFElJd0R7N/P90o936KgmKL2amgnCFpAmXM50hQF+Dzxxx9cFuXgwbzHLWlpvHB39izf7g3y8/ZmE1S51aihjawWImuU6AsvqJ81KAApKSk2GaKdOnWCp4NSvMxm61gka3RzcaWkfV9nUmxNUYWmTZvi6NGjaF7YHEid0rAhT8Y7deKL35w5HJFQ2HNSly7893FxnA7q7190jWKKCkLxY8wYNkW3b2ejxF7RBW3bcqrpuXM8SHbUYP3OHTYTDAY2Ym0hNZWNoZMn2XTatYvrfgnFHyJ9RIoqqfM9etjeLCM+HnjnHY58BvjYHj+e68zZY0xQUmnbljs7L1sGvP028MEHvE+88Qb/j2zNzlFqcsbHc2M3e1eMio7mKGHAPmVSFPP2fmNBQdATzkifBzhS7OmngeXLgb//5t4PymfHxvIi79mzvKhMlF1fixZsgLZqxcefFhs9HjrE2SAeHtxgSdAWN27csPR1yQtPT09LFq8gaJVibYq6uLhg3LhxJfZAbNqUJ+UPPsiT9Hnz+KJZmFDr0qW5Kciff/KkqqgToJQU6yrl/d5L0ucFQT/07cupzbducdRCURoVZaVZMx4UJyfzJNpR6bknTvB906a2lR25exdYuJCj6b28uIxJCUlOEMCTT2UBz5Z9MzUVuHaNH1eubH9d937WyZP82NbU+V27uHnjnTs8cR4zhvd3W5viCHlTuzZv48WLgalTgS+/BH7/3XZT1Nubmx/FxvJ52J51Ook4CwDgMWHDhkV/T8UUlUhRoTjhLFMU4IZ5v/zC5ue6dXzMnz3L54Cs+PvzmKxDB8640XozWCI+DwKceSQ1qrWHl5fXfU1RQb8UpC5scTG9NbgmZF+Kwz+pKLRowZNzLy9e2X/33cK/V58+fH/sGBATUzRdWdMM8+s8n5rKtW4AHuQLgqBt3NyAUaP48W+/2e99S5XiiAaAU8XsWb9difL74Qeu6wfYnjq/fj2nvXp4WGsDCiUH5Trl7W1bZF50NN+7uTm+NtTevZxuFRAA1K9f8L87c4abV925w43HDh3i5otiiDqG8uWt5SBCQjji01aUFPrDh7NHhxWFjAw+p0dFcZTwhAlFf8+bN62p+BIpKhQnlEXVc+dympP2xmi0liu6coWPqdhYznhp1YprPX/9NfDFF8DEiUDLlto3RAEeU504wdfHWbPUViMIJY/KlSujTJky+d4efPBBkL0GGipS7E1RgZuFbNrEjzdvttbLs5XmzflCmpnJta/uLcptC3/9xfe9e+f/urVr+cJesyaXAhAEQfs89xxPmg8eBI4etd/7PvEED44vXwb++19rLbrCkpQE7N7NKcFff22NomvenCNebUFJnZ43z37RsYJ+UKLc7twBbt8u+N8pzWUyMjiyx1FcusSmKMDHkS1s3crGWv/+bIi2amV/fUJ2ata0prKaTLb//eOPsyESFmb9/xWF27fZCA8P5/edMaPo5R6uX+fGfDdusCH62GNFez9B0BK9evHCUUwM93ZISHDs57VsyRH8detyEMvLLwMbNnC94iFD9Ffv2WwGPvqIH0+eDFStqq4eQSgpeHp6opMNpsvevXuRcm+RYh0ipmgJoWtXYMAAfhweXrj3MBq5s2+FCry6/8cfhdeTnMyD/uDgvF/z77/Axo38+PPPi9YoShAE5xEQAEyaxI8//NB+xcCbNAE+/pjPHXfuAJ98wk1fbCFrVOibb/ICTXw8R9MPHszv+fbbtpfrUFKgbYnAE4oPvr5ccgGw1lssCKVL834HAAcO2F8XwOmbv/zCj/v2tS0d22SyLmJOnmx7HVKhcKSkWM+bhakF3749GzEAR43t3l14LefOcZ3T69c5Ev7NN9kgLwrR0WyIXrvGjeh27ZJsIKF44e3NtdWrVuUawXPn5mxuZG/GjuUxzLx5fJ7Xc1bz33/zQqGnJ9etFgTBORgMBuzevRtJSUn53m44spujCogpWoJQ6ttduVL49/D1BRYt4kiB0FBO7SosM2bkPcG6cwdYuZIfT5vGHU4FQdAPCxfyYPbMGWtjFnvg7w+sWcPNSZSo9a1bgePHra+JiOCUqxMn+PHJk3y7NyqUiI2suXOBn37izqZK2qmtKFGrkgJacunShe9tXXgcPJivqRcu8IKjvfnzT45Sql6d93FbCA3lKEFf3/tndgj2Q6lPazAUvlFSv34ctQ/wOfjAAdsiRon4nPnNN1wzuVEjru/XsmXh9ChcuWKNEG3QgA1RadQlFEfq1uXxSblywKlTHFhy967aqrRPRgabuwA3r5RaokJ++PnxraTgjO9rMBgs9WLzuxUndFBRRLAXSkH8y5eL9j4tWwLjxvEFa9MmnjC1bQuULZv/32VNAevVK++BNRE3G7h9G2jcmDuwCoKgLypVAubP50nAxx9zwzd7RZmVLQssXcpRqD/+yFHl7u7A0KH8+99/567LeeHlxQbPwIGFN0GzkpnJDU0AqbNYkunSBXj/fdtN0SpVgM6d2YA6cAAYNKhoOlJTgbg4vn4CvABgMHC0ja11S7dv5/uhQznNX3AOiinq4VG0jtBDhnCZkC++YHN83z5euFFu5cvzvnEv6elcP/TUKf55wAA21It6Do+K4gXx2FjeP3fskLRYoXgTGMh1xrt140CSJUu4RrOLi9rKtMvGjRxNXrkyMH262moELePlZR1/lwRK2vd1JmKKliAUU7QokaIKI0fyRGvfPp7I7dnDEVft2+fd6fTAAR4cAMD48Xm/9/btHDng4gJ89ZXjm08IguAYpk/nusDR0TzBHjbMfu/t4sLpvI0acSRGVuOgRQue1CtRUWYzP/b05Kjzbt3yb/BmKzdu8Gd4eNjWeVwoXjz4IN+fP89GlC0lXx5/nK+lYWFAjx4FS5lOTeXB8a1bHGGqPE5K4kWCXr2srx03zmqSFpS7d61p1yNH2va3QtFQTNHCpM7fy5gxvCj97bccMRwebjXuy5XLaZLGxgLff8+1EI1GPo8PHFh0HZGRwMyZvODdrBmP9Ypal1QQ9EC7dhxE0qcP13ZevpxT3Iuy4FFcycjgcxUALF6s7xIAeoSI7lsfsiAdyQVBb4gpWoJo0IDvb97kyVRRzEajkVc7d+/mWmXHjnH66vHjnKLXrh2bpMpKaFwcv1YxQ5WujPdy8ybX8wP4YigdnAVBv3h6chfl8eM5Zb1fv/tHlNvKQw/xjci6erpsWe7RT44ia+q8Mz9X0BbVq3Pk8YULXLqhffuC/23z5lyL99w5bk7WubP1d+npVuNTMT9v3mTzMy+yphsuWJD9/QrK/v1c/7tGDWl06GyU/609TFGDgc/BI0dyOZHQUL5FRORukqamsjHh58cRbU2aFF3D+fNsiN65w1lC27aVrHRHQejeHfj5Z+DRR3n/L1MGeP55GTPcy86dvCBTpQov5gnOg4jQuXNn7Nu3T20pguB0xBQtQfj68i02Frh6lSdgRcHFhSOuunXjuoG//MIX+qtXgV9/5cetWwNt2nAqxP2arZjNvHqanMyTyRdfLJo+QRDUZ8wYLodx/DjXpps4UW1F9kcxRSV1XujShU3R8HDbTFGDgaNFly8HDh7khhxK5OedO3n/XaVK1ii/WrWs956e1kWCzp0LN/HesYPvg4MlosnZKJGi9syUKV2ax2TKYnNqau4mKcDR9osWAT4+Rf/cM2es3bdbt+bIfnu8ryDojUGDOAPuiSd4nlSmjBh/WSHiKHWAy3UUtp6yUDhSUlJsMkQ7deoET3us3BWB1FQOuACAzZuLf3ZpSfu+zkRM0RJGgwZcf+/y5aKbove+77x5wLPPsgH6++9svu7aBfzzjzV1NT/Wr+cIGXd3LubvKnunIOgeFxdgxQruVvzLLxwlUdxSzJXO82KKCl26AJ9/bntdUYAjnj/6iNOL//03++98fXn/UgzQOnXY/MwrtdCWhjq5kZRk1SCp887HnunzeZGXSZqWxoa+PcZgp08Ds2bx/tS+Pdc1LV++6O8rCHpl5Ehe6Jo8mQ1SLy9g+HC1VWmDI0d4UdHDo3guoOuJGzdu3LeRjqenJwwqhzqbzew1KI+LOyXt+zoTsZ1KGA0b8kTHHnVFc6NCBWD0aGDECGtq/YkT/Lsnnsj/bzdt4vulS62p/oIg6J++fdnw+esv4NNPuQFTcUIxRaXzvKB0oD91itPebYl0KVWK6zdu2gRUq2Y1P2vXtn/ZifuxZw+nUDduzFGDgnNxhil6L4pJai/u3uX0+6QkLr/wxx+cni8IJZ1Jk9gYffFF4IMPAH9/oGNHtVWpjxIl+uyzPJ8U1KM4dhcXhPwQU7SEoTRb2rWLu5I6Kuzazc1a6+/0aU6p79qVo0dzIzmZVwcB1iUIQvHBYOBo0TZtuKxGly6Fq3GoRe7etXZotkcne0Hf1K3LhmZ0NDcjbNnStr9/8EFrwya1iI/nUhcARzVJzTvnc/cu30dF8f9Dj9GV333HC0bVq4shKgj3Mm8ez43eew94803g44/z7rdQEvjtN+DwYS7VMm2a2moEQShpSJWoEsbIkXzRPX+e60VlZDj+Mxs2ZHM0v5pk+/ZxGHijRnl3rxcEQb+0bs01ogDg9de5E3Fx4Ouv2QCrXJm7hgslG4OBGw0CwNmz6mopDMnJwNy5nE1SsybwzDNqKyqZPPIIR0pducIGQUyM2ops4+pVq7H+n/+IISoIubF8Oc+RYmK4QWRJTYf9+Wdrk90XX5SsG0EQnI+YoiUMf38ucu/hwStyWrkI//033w8bJlEpglBc+c9/gF69uGbdihWAyaS2oqJx7hzw7bf8eM0afUZzCfYnKIjv9WaK3r0LLFzIjXG8vTmqu1IltVWVTGrU4FJH1asDly4BU6daG7ppHSLg3Xd50b1nTx7XCYKQE09P4IcfuHTK/v3ATz+prcj5/PgjR8sCHD376qvq6hEEwXaSk5Pve6OiFrt3MGKKlkDateM0BRcXrvG3dm3RmzIUhaQk4NAhfjx0qHo6BEFwLK6u3ITGy4tTzvU8ATCZrMbu44/zTRAAqyl67py6OmzBZOLJaEgIl9XZscNabkdQh4YNuTZ7nTocjT51quPqwduTPXuAAwe4jNKaNbLQLQj50bw5LyIA3GgvIkJdPbZiMlkN3ago2/523TqegwLAggXAG2/I+UIQ9EjlypVRpkyZfG8PPvigpo1RMUXtTHp6OhISErLdtEifPsAXX/Djn3/mC5Na/PsvRxQ0agQ0baqeDkE76OU4EmynWjVrmtSnn+pjkn8vV69y2tvZs9wAR4ly0BpyHKmDYopeusTNlrRORAQwezabWW5u3OjJng139I6ax1GdOmyMNmwI3LzJxqiWS4+kplrPh3PnStNMwYpcj/JmwgTuQG8yAUuWWButaZmoKODDD1n3iy/yAsiYMdxE6tdfuZFUfnz7Lf89ACxezItyYog6DiIqUDSfHvH0dG5TQrXRyvf19PREp06dCvz6vXv3IiUlxYGKioaYov8nMjIS69evL/I/a+nSpfD29rbcatasaSeF9mfUKC7uDfDq5ObN6uiQ1HnhXvR0HAm2M24cp1XevQusXKmNEh73w2wGDh7k9K7Rozm1GOCJQJUq6mrLCzmO1KF6dcDPj/cZpYGgFjl5ko2r557jCFFXV+7+27272sq0hdrHUfXq3ByzeXMgLo5rjJ4541QJBebLL9m8rVMHmD9fbTWCllD7ONIyBgPPw+rVA27c4HGRFgOqkpKADRv4mjFmDAfUxMby9U7pHXHqFPDOO5w9s2ABz/GUxnEKX30F/Pe//HjJEuDll2X+50iICJ07d75vJF/lypXVlmozXl5cCz05mR8Xd7T0fQ0GA3bv3o2kpKR8bzdu3FBXaAExkJbjWJ3EmTNnEBQUhMzMTHz99dd4+OGH4e7uXqj3Sk9PR3qW0JCEhATUrFkTd+7cQTmNVpqfO5fTQI1G4LXXgI4dHfM5RJm4desXAEDFio/BYHBFUhLw2GMcKXrsGBAY6JjPFrRJQkICvL29cxwfejyOBNuIjASaNOH6otOmcWORopDb+cUeJCcDf/7JJUeUqFaDAejfn3X37GmXjykSchxpjz59uH739OnAww87//PzOx5OnuRMkQMH+GejERg7liewdes6X6tW0PpxFBcH9O3L5Ya8vDhaXUvZNZGRHPFmMrFxMnCg2ooENdD6caRljhzhOVhGBjemHDxYbUW8uBcSwuOg3but2Q9GIzBgAPDUU3xfqhQviKxbx6bn4cPW9/DyArp1A3r3Bo4etWYqvvEGR5kKOcnrOCrM65KTk1GmTJkCf3anTp2we/duGMSpFuxA1v0vKSkJXk50cwt6HAGAfWaNOubOnTuYM2cOgoODkZqaiqeeegqffPIJHn300UIZo+7u7oU2VNVi2TJemfziC+CVV4BVq5xnTu7bxxf/xo21NbgX1EWPx5FgG3Xq8KR+6lROoerQgTu4a4VLl9gI3bKFU0IBHtg/8wwweTIQEKCqvAIhx5F6BAWxKaqluqKnTvF1fv9+/tlo5GifBQs4QknIHa0cRz4+wPbtbEDs2QPMmsWmglKuQU2IuCyKycQLXGKICveileNIy7RuzQ0pX3gBeP99nhc5sgRFRganucfH531/+jTPERWaNGEj9IkncmbJVKrE2l94gRffvvoK+Ppr4PJlLsuyaZP1tcuXA3PmOO67Cblz48aN+5pSnp6eYogKJY4Sb4rGx8cjMDAQHTt2xIABA/D0009j/PjxAFBoY1RvGAycxnDrFvDHH5zy9PbbbFo4ml27+H7oUEmdEISSxpQpnK67bx9PBJYvt/08EBPD0Qn2iHCLi+MorG3bOGJDoUkT4PnneRJgw2K7UILRUgf6M2fYDP33X/7ZaASefJLNUD2Y+4KVcuU4YmvwYD5PzZvH6aft26ura/t2ICwMcHe31owWBMF2pkzhJri//cbH9ocf5p0mm5oKXLzIZVqU240bHN1JZL0BfK+UKiJiQ7SgJSS9vYHgYDZD27Yt2DitcWNetHntNeCff9ggXbcOSEnh8d6MGQX7bMG+eHl5OTVSz9GkpVkbnf78M+Dhoa4eR1PSvq8zKfGmaK1atTB+/HjUqlULAPDxxx+DiHIYoyaTCSkpKShbtqyach2Gmxvwww+cCrp/PzddePRRTnWoVMkxnyld5wWhZGM0Ap98wrXyDh3iqMy+fe//d8eP84LK4cM8IQDYrPzkE34cHc11+ArC5csc0XfgQHYDy2jktOfnn+cai7JoI9iCYopeuMDRcy4u9n1/IjahLl/ma2liYvb7tDRg4UJ+7dSpnPJoNHI93JdeEjNUz3h5AevXcx32DRvYGK1SBahdG6hVixe0u3Z13mQpKYmj2gCuDfj/4bQgCIXAYOAmlCEhnLHy5pt8zgZ4sfb4casBGh1d9NqjRiPXBK1Y0Xqf9ebvD/TqBZQuXfj379aNb++9xwE4/v5F0ywICiYTB3Qpj4s7Je37OpMSaYpeu3YNZcuWtdQ3qPP/kMiMjAy4ubnhk//PrBVjtF+/fli+fDnS0tKwYsUKuNh7dqMRvLyAjRuBBx/ktIdPPgF27rQaDfbm6FFeqWzYUFLnBaGk0qgRR0O8+CLw+ef3N0Vv3GCjUsFg4LTSpCTrcy++yA0/CsILL3CKmEKrVpyeOm4cmwyCUBgCAqwF8a9etf8k8NgxrleaF1mTXJTI0JdeAurXt68OQR08PDhK5Omn+Vx3/TrflNII585xMxRn8McfwO3bfC6X6C9BKDoVKnBUZefOHDU6dCgvdM2enfO1lSvzwnKzZnwfEMCBLkYjj4+y3rI+5+bGJmiFCvy8MyhdWgxRQSjJJBcgPF2t8g0lzhSNjIxEgwYN0KVLF/z000+oUKECTCYTXFxc4ObmZnn8ySefwGg0YuLEiWjZsiV2796No0ePFltDVMHXl1NZV6/m+qJZzQJ7o9Tpq1NHorAEoSQzdCgbmQkJ93/tnTt8X64c8PHH3PHUx4cXco4f59/Zct5SXrtmDTd902oneUFfGI2ccpicnLPzrj2Ii+N7Pz828cuX58mtcitf3nqNjYri1wnFCzc3LouwahWf/06cAH78kRezlf3DGSjn7T59uNmKIAhFp0MHoGVLjg6Nj+e0cwCoUQOYOZNN0GbNHJfNJ+iL5OTkPD2KghhRguAMKhegeYRajb5KnCkaExODypUrw2g0YuTIkfjmm2/g4+MDs9kMo9EIFxcXZGZmwtXVFf/973+xfft2HDt2DEeOHEHz5s3Vlu8Uypdnc+CVV9RWIghCSaAw171y5bKX3WjQwGqKFoYhQ2RyIeiPJk04wvpeMjOBX7j5PMqXd6Yiwdkoaa5durABv3On2ooEQbAHuY2NAgKAadOcLkXQONWqVVNbgiDkiqenJzp16oS9e/cW6PV79+7FrVu3nN4QrMSZoh4eHihdujQGDhyIH3/8EU888QR+/vlnlC5dGrGxsfD19YWrqyvS09Mxffp0REVFISwsDIHOascuCIIgCIIgCIIgCIJgBzp16gRPT0+1ZQglDIPBgN27dyNFCXfPg+TkZEskaUEiSpVM7vyMUVuipEuUKWo2m1GzZk00a9YMwcHBqFatGt555x2MGjUKRIRmzZphwYIFcHd3R1paGtzd3XHgwAExRAVBEARBEARBEARB0BTR0dEoV65cvq9Rq1ajIBgMhgJFftoSURoaGmrXBuglyhQ1Go0oX7484uPjcejQIQwdOhTu7u549tlncfPmTTz//PNwd3eH2WyGt7c3Vq5cCVfXom0i+n9bwISCFMvTEErTEiKuiWYPiDItqwTJyQlIT+dtm5lZsFqCQvFDOS7oPu0z9XocCQUjMZHvC3K+Ueokms3ZzxuZmdbzC1ECkpNtO3cnJjqvW7O9keNIm5jNfJ+aar/rqEJ6Ot/ndf3MejwkJCQUeSxTEigOx1FaGt9nZtp/n8uLjAy+T0+XsZxQPI4jraB0l05Lu/85Xyhe2HocmUwmmO7TjjxRGWwXI7Je5xISin9H9uL+fTdt2nTfiFIiQt++fXHs2LECv+/9jiMAMFBBXlVMUOqGDhs2DH379sW4ceMwevRobNy4EbVr10bt2rXx8ccfw9fX126feeXKFdSsWdNu7ycIxZHLly+jRo0aef5ejiNBuD9yHAlC0ZHjSBCKjhxHglB05DgShKJzv+MIKGGmqMJ///tf3L59G8eOHcOOHTuwfv16REZG4uWXX0ZgYCC+++47GI1Gu3yW2WxGdHQ0ypYt65CQ9YSEBNSsWROXL1++b9i8FtCbXkB/mvWkl4iQmJiIatWq5XvM5XYc6el7AvrTC+hPs970AvbRXJTjSC309r/Sm15Af5rV1qvH4whQf7vZiuh1LGrrLcxxlJiYqKttfC9qb/Oiomf9etYO5K3fEdcjrW8rresDtK9R6/oA52os6HEElLD0eQVXV1fMmzcP/v7+2LhxI1q1aoWgoCAYDAa0adPGboYowCn793Om7UG5cuU0u/Pnht70AvrTrBe93t7e931NfseRXr6ngt70AvrTrDe9QNE1F/U4Ugu9/a/0phfQn2Y19er1OALk/+xoRG/BsfU4UswcvW3jexH96qFn7UDu+h11PdL6ttK6PkD7GrWuD3CexoIcR0AxNEVNJhNcXFzyfc1TTz2FmJgYdO/eHa1atQIRwcXFBUOGDHGSSkEQBEEQBEEQBEEQBEEQ1MJ+IZEa4MyZM1i9ejWuXbuW52syMzMBALNnz0abNm0AQBPpT4IgCIIgCIIgCIIgCIIgOIdiEyl67tw5dOzYEbdv30ZsbCxmzJgBPz+/bK8hohwdWJXmS3rF3d0dixcvhru7u9pSCoTe9AL606w3vYVFb99Tb3oB/WnWm15An5rtgd6+t970AvrTrDe9WkFv2030Oha96QX0qTkrol899KwdcK5+rW8rresDtK9R6/oA7WosFo2WkpOT8cILL8BsNqNt27aYMmUKZs2ahTlz5uQwRgFg5cqVSEtLw8KFC1VQKwiCIAiCIAiCIAiCIAiCmhSLSFGj0YjWrVvD19cXw4cPh5+fH0aMGAEAOYzRuLg4HDlyBBcvXsRzzz0HHx8ftWQLgiAIgiAIgiAIgiAIgqACxSJSFOBoUS8vL8vP33//PYKDgzFz5kzMmzcPvr6+MJlMSExMhNlsRnp6OqpWraqiYkEQBEEQBEEQBEEQBEEQ1KBYRIoCsBiiJpMJRqMRw4cPBxFh5MiRMBgMmDZtGlauXImLFy9i3bp1EiEqCIIgCIIgCIIgCIIgCCWUYhMpmhUiAhHBaDTi+++/x+jRo1G3bl2cP38eBw8eRFBQkNoSBUEQBEEQBEEQBEEQBEFQiWJpigJsjAKAwWBAjx49EBoair///hvNmjVTWZkgCIIgCIIgCIIgCIIgCGpSbNLn78VgMMBkMmH27NnYuXMnQkNDxRD9P0QEg8GgtgxBEARBEARByBUZrzoW2b6CIAiCABjVFuBomjZtiqNHj6J58+ZqS1Gd6OhoXL9+XZcDIL0ENCckJCAtLU1tGYVCL9u4sBT376cGiYmJakso9phMJrUlCAVAb+cXvekF9KlZC5w/fx5//PGH2jIKTNZznh7Gq7J9nUd0dDTS09MB6O98oPfx0t27d9WWIEB/+709Kcnf3V6YzWa1JeSLmv/jYm2Kuri4YNy4cWjZsqXaUlQnJCQEHTt2xNGjR9WWUiCio6OxZcsW/PXXX7h06ZIuBm5Hjx5Fr169EBkZqbaUAqHHbVxQLl68iA8++AArVqzAnj17AGh/8J+YmIjbt2/j4sWLlue0PAA4ceIEevfuja1bt6otpcDcvHkTp0+fxsGDB7M9r9XtfObMGbz++us4d+6c2lIczunTp7F48WKMHDkSH3/8MQ4cOGD5nVb/P5mZmRaDQevnFwAIDw/HokWLAOhD782bN/Hvv/8iJCQEcXFxMBgMmt0XtEpoaCgaNGiAa9euqS2lQJw6dQrPPPMMgoODMWHCBFy+fFnT/3PZvs4jIiICNWrUwOTJkwHo4xymEBERgdGjR2PTpk1qSykUoaGhWLBgAeLi4tSWUihOnz6NjRs3qi2jUMTGxuL8+fMICQkBgBJ3HdT6OCs5ORk3btxAamqq2lLy5NKlS9iyZQsAwGg0am7/0crYtFibooA2DyBnExYWhs6dO+Pxxx9H//79s/1OawcGwAdH+/btMXXqVIwePRqtW7fGF198oekIzLCwMDz44IPo0KEDGjdunO13so2dS3h4ODp27Ihff/0VK1euxIIFCxAeHq62rHw5ceIEHn/8cXTt2hXdu3fHsmXLAGj3/HXixAl07twZrVu3hr+/f47fa3Wf79ixIwYPHowOHTqgT58+WLduHQBtDjKTk5MxatQoLF26FF999ZVuzPLCcOLECXTs2BFnzpyB0WjEu+++i8mTJ+Pzzz8HoM3/z+nTpzF27Fj06NED/fv3R1hYGADt/m/CwsLQoUOHHFECWtV77NgxPPTQQxg7diweffRRLFiwAImJiZo9J2oRZew3ffp0jB8/PsfvtRYxcvr0abRr1w5paWlwc3NDSEgIWrRogc8++wy3b99WW14OZPs6j9DQUHTo0AF16tTBmTNndBN8AADHjx/HAw88gDp16qBBgwbZfqfV829WwsLC0KpVK7i4uMDHx0dtOTZz+/ZtNG/eHA8//DC+/fZbteXYxPHjxzFgwAAMGjQIjz76qF0XBCIjI7F+/XqkpKQU+b0chdbHWSdOnMAjjzyCXr16oU2bNvj555/VlpSDmJgYtG7dGi+//DJ++uknANoaU2tqbEpCsSYiIoJKly5NCxcuJCKizMxMOnLkCP311190+vRpldXlJCYmhho3bkxz5syhW7duUVhYGC1cuJCMRiMtXLiQ4uPj1ZaYg/DwcCpXrhzNmzePiIjMZjNdvXqVLl26RLGxsUREZDKZ1JSYDT1u44Jy5coVCggIoJdeeokyMzPp2rVrVLlyZfr++++zvU5L/4+IiAiqUKECzZ49m7766itatWoVeXh40I8//qi2tFxJTU2lAQMG0DPPPENEvL+fO3eOdu3aRYmJiZbXmc1mtSTm4Pr161S3bl2aM2cOHT9+nMLDw6lXr17UsWNHWrJkiUWrljQTEY0YMYI6depE1atXpzlz5tDZs2ez/V5L+3FhSUhIoL59+9KLL75oee7w4cPk4+NDpUuXprfeeks9cXlw/Phx8vPzo3HjxtGSJUuobdu21KhRI0pJSVFbWq6EhoaSl5cXzZw5M8/XaGnfP3v2LFWsWJHmzp1L58+fp5UrV1K9evXoypUrltdoSa8WOXnyJJUrV46mTJlCRDz2+/bbb2nlypX01ltvUXp6usoKs2M2m2nixIk0ZMiQbM9PnDiRqlatSu+++y4lJCSopC4nsn2dR2hoKHl6etKrr75KZ8+eJXd3d/roo4/UllUgkpKSqHfv3vT8888TEf8foqKi6MCBAyorKxjh4eHk6emZ7fqcmZlJaWlplp/1cC4eMGAADR8+nIxGI3366ac5fq/F73DixAkqX748zZ07l3bu3Elr166lunXr0rlz54r83qdPnyZPT08qVaoU/fDDD9n+n1pB6+OsY8eOka+vL02ZMoU2b95MjzzyCAUEBGhuW548eZIqVKhADz74IPXt25d++ukny+8yMjJU3fe1NjYVU7QYk5KSQt27d6fq1atbTqKDBw+mZs2aka+vL3l6etLy5cs1NRC6fPkyNWrUiPbt25ft+Y8//pgMBgMtW7aMiLRjBiQkJJCHhwc1b97c8tyoUaOoXbt2VKVKFQoKCqJdu3YRkXY0620b28KGDRuoRYsWdOvWLctzw4YNo9dee43mzZtHX375paYMsLi4OOrTpw9Nnz7d8lxycjINHDiQ5syZQ0Ta0JmVpKQkatu2rWVQ37NnT2rTpg0ZDAZ68MEHaeXKlSorzMnevXupXr16dOnSJctzN2/epClTplC7du3oP//5j4rqcqIce7NmzaLNmzfTd999R1WrVqX58+dTQkICvf/++5rbLwrLnTt3KCgoiL755hsiIrp79y4R8XE7YMAACgwMpI0bN6opMRvXr1+nDh060LRp0yzPmc1mqlGjBr3//vsqKsudqKgo8vLyoqeffpqIiNLT0+n111+n8ePH04gRI+jPP//U3ELYwoULaejQoZafzWYz9ejRg7Zu3Up79uyxmKN6vEY5i0WLFpHBYKAffviBYmJi6KGHHqKOHTtSQEAA+fv7U+3atenkyZNEpJ1rzOjRo2n06NFEZD0PEBFNnTqVfH19acuWLUSkDb0vv/yybF8nEBERQQaDgRYsWGB57vnnn6fmzZvT5cuXVVRWMG7dukXNmzenQ4cOERHRwIEDqVmzZuTp6UktWrSg9evXa85EUYiKiiKDwUAjR460PDdv3jzq168f9e3b1xIIQqStfSYrJpOJzGYzdevWjT799FNatmwZGQwGy3hj8+bNmpoDK9y4cYOCgoJo9uzZlucuXbpE3bt3p/3799M///xT6PeOj4+nRx55hMaPH08jR44kLy8vWrdunab2Q62Ps6Kjo6lFixbZzLzz589T//796fz583T79m1KTk4mIm0cG0888QRt2rSJ+vTpQz169KANGzYQEWVbaHY2WhybFvv0+ZJM6dKlMX36dNStWxfz5s1Ds2bNkJqairVr12LPnj1Yvnw55s2bZ0knIA2EUiclJSEyMtJSSD0zMxNEhPHjx+Pdd9/F/Pnz8c8//8Bo1MauW7ZsWaxYsQJnzpzBq6++iq5du+L69euYOXMmVqxYgcDAQPTo0QOHDh3ShGaz2YzExERdbWNbyMzMRGJiIg4dOgQAWLZsGX788UdERkZi9+7dWL16NWbOnAlAG6npt2/fBhGhW7duluc8PT3RpEkTnDhxAoA2G+1kZmbixo0bePbZZ+Hq6oqPPvoIx48fR6NGjfDLL7/gm2++UVtiNjw8PJCWloZLly4BYP0VK1bEK6+8gmbNmuHnn3/WVFqOcuzVrVsXv//+O0aMGIFFixbhq6++QqdOnfDiiy/i+vXrKqssOkSE+Ph4JCQkWNI33dzcEBkZidDQUDz88MMoV66cpRaSFv43oaGhAIBnnnkGAO9LBoMBdevWRXJysorKcicsLAwBAQGIiYlBVFQUHnnkEWzatAnx8fG4cOECpk2bhrVr12pKe1JSEi5fvoz4+HgAwGuvvYadO3di2rRpePbZZ9GtWzecPHlSl9coR6OUwHnllVcwefJkzJs3D506dYKnpye++eYbHDp0CPv370edOnUwZMgQy/6rBcqXL4/9+/cD4POAMkZZvXo1unfvjilTpiAjI0MTehcvXqyb7aukJVaoUEE32xdg3fv378fy5cvx2muvWZ7v1q0bbt68iTNnzgDQ5hhJIT09HS4uLihbtiwmT54Mk8mENWvWIDQ0FNWrV8fs2bMt5Z20cH3LSrVq1VC3bl1cvHgR+/fvR+fOnbFv3z40aNAA9erVw6effopBgwYB0MZ4Oi8MBgO6dOkCo9GIuXPn4uWXX8YTTzyBtm3b4vXXX9dkLUgXFxcMHDgQwcHBluc+//xzHDx4EE8++SRGjRqFDh064M6dOza/d3x8PAIDAzF48GB88803GDFiBMaPH4/ffvvNck5QG62Ps86ePYv+/ftj6tSpluc+/fRT/PPPP+jduze6dOmCqVOnqt7c2mw2w2w2IyIiAu7u7njnnXfg6uqKDz74AK1bt0aPHj1gMplUKfWiybGpUy1YwSlERkbSxx9/bPl58+bNFBgYSH369KGoqKhsr50zZw7VrVuX4uPjVV3NyPrZw4cPp5YtW1qiujIyMiwRIUOHDqVhw4ZRenq66qsvmZmZlsfvvvsuGQwG6t69e7YoxRs3blCvXr3oiSeeUFXzvekGI0aM0MU2Lgh379616IyKiqL27dtT/fr1qU+fPuTi4mKJMjObzfTyyy9TUFAQXb16VU3JdP36dct+kjWNStmnFi5cSAMHDlRFW25cv36dYmJiiIjT57t3705jxoyh0aNH059//ml53Z07d6hv374UHBysltRcUdLnlZR/Iuu2jomJoWrVqmVLD1MbRdv3339PnTp1sjzfoUMHcnV1pbFjx6q6wmtvlKirSZMm0csvv0xeXl40adIkIiL66KOPyN/fnxITEzVzPnrnnXcsjzMyMoiIaMiQIfTyyy9ne53yO7X5+eefqWvXrlSqVCnq168f3bhxw/K7adOmUa1atejChQsqKmSUa9DatWupbdu21KVLFxo3bhy5uLjQr7/+SrGxsRQSEkL9+vWjp556SjfXKGdx5swZmj59Ot28edPy3HPPPUdt2rShiIiIbK/9559/yMfHh/bu3etsmXkSHR1NdevWpREjRlieU8YuERERVKVKFUvmjVbQ8va9ePFituvE1atXKSAgQFfbNykpyfI467Hes2dPevDBB9WQZBMmk4maNm1KDz/8MI0bN462b9+e7fdt27bNUdJACyiRxHfv3qXAwEAyGAz0+OOP0/Xr1y2v2bp1K/n4+OSajq4FsmYSrFy5kgYPHmz5uWXLlmQ0GmnRokVqSMsXZT/PWo7qq6++oooVK9JPP/1EZ8+epUuXLpG/vz9Nnjy5UJ9x4cKFbNtn3LhxOSJGMzMzVY2ifffddy2PtTjOOnPmjOXxO++8QwaDgT799FM6ceIErV69mpo1a5ajdJuzUP63yv2cOXPo7bffJiK+DlStWpXKlClDS5cutfyNGmOpX3/9VVNjU1lmL2aEh4ejZcuWWLt2rcX579u3Lz788EOMGzcO1apVA2BdkSxTpgx8fX1Rrlw5VVYz4uLiEB0dbVnxBYBJkyahTJkymDNnDq5cuQJXV1fL7ypXrozY2FiUKlVKtdUXpUv45cuXLc9NmTIFP//8M0aMGAEfHx/L9q1UqRLKlCmDxMRE1TSHh4dj3LhxuHr1quW58ePHw9vbW7PbuKBERERg5syZOHXqFDIyMlCzZk389NNP+PDDDzF06FC0adMG3bt3B8CrxUFBQYiPj1c1suDkyZPo2bMn1q9fDwBo3bo1AF7Rc3FxAcDRonfv3rX8zdy5c/Hqq686Xyysen///XcAHHW5ZMkSfP/99/j666+zRSyWK1cOvXv3RmRkZDb9zkbpWn306FHcunULlStXxnvvvYdPP/0Ur7/+OgBeiSci+Pr6YuDAgdnOQWrpVbpsK/vBAw88gAoVKgAARo8ejStXrmD27Nn4+++/sXTpUkRFRammubBcvnwZ27Ztw3fffYeTJ08C4KirZcuW4fjx49i9ezcWLVqEtWvXAuBIm8qVK6NMmTKqnY/uPV88//zzAPiYVc6dZrMZsbGxltd88MEH2LhxoyrRP/fqfeyxxzBp0iQ8+eSTeOmll1CpUiXL+ODNN9/EtWvXsGPHDqfrVFD0KpGfkyZNwlNPPYX+/fsjIyMD06ZNw6OPPgofHx+0bNkSFStWxPXr13VxjXIW4eHhaNasGVavXo2zZ89ann/vvfewatUq1KlTB4B17Hf37l34+fmhcuXKqug9d+4c3nrrLcyZMwebN2/GjRs3ULVqVSxevBghISGWxkWlS5cGwJGNnp6e8PDwUEVvVFQUvv76ayxbtgxHjx61PK/V7RsaGorWrVtj9+7dlucqVaqE+fPnIzw8XHPbNytKtBoRwcvLy/K8wWCwnLeeeeYZXLt2DX/99ZfltVrg3kg7o9GIVatW4ciRI/jss88s+pXx0aBBgzTV6EbR7+bmZrk/evQoRowYgWHDhmXbn9u2bQtvb2/cuHFDFa25kXX7Z80kqFevnuXncePG4fr163j66aexbNkyfPjhh07XmRv37jtlypSxPK5ZsyY2bdqExx9/HAEBAfD390fbtm0L3CDt2rVrSEpKsvxcp04dGI1GZGRkAAA++eQTDB8+3BIxmpCQgEWLFuHll1922nzpXo1TpkwBoJ1x1r366tevD4DPPYGBgfj777/x1FNPoUmTJpg6dSqSk5Px77//OlxXbhqNRiPMZrNln69UqZLlWrBo0SJkZmYiMDAQu3fvxnfffQfAOdHe927DRx99FM899xzGjBmjjbGp0+xXweEoxcgff/xxKl++PH3++efZfp81slFh8uTJ9OSTT1JaWprTVwnCwsIoMDCQGjZsSOXKlaPg4GA6fPgwERF9/vnn1KFDBxo0aBBFRkZa/mbSpEk0dOhQVfQSceHnXr16UbNmzah27drZVlmIsm9jRd+oUaPopZdeIrPZ7HTNoaGhZDQa6aWXXsrxu7Vr19IDDzyguW1cUMLDw6lChQr09NNP08WLF3P8fuPGjfTggw9mq501a9Ys6tKli2o19JRjVIkqzotVq1ZRt27diIho/vz5ZDAYVCnMn5/ezz//nLy8vGjAgAGW2mlEvP8EBwertnobHh5OTZs2pQYNGpC/vz9NnDjR8v9es2YNubi40IIFC7KtgA8ePJgmTpyoGb2KtuvXr1Pjxo0pMDCQqlSpQiEhIURE9Oabb1KTJk2yrarqgbCwMKpcuTL16dOHfHx8qEOHDjRmzBjL7xMSEig1NTXb30yaNImGDBmi2vkoIiKCJk2aRL1796aXX37ZUnePiM/xyjl/+PDhNHfuXCLiSG+DwZAjekwNvX/88Yfld2FhYdkawJhMJjp79iw1b96cdu/e7XStRDn1btq0Kdvvp0+fThMmTMj23IQJE+jpp5/OliVQkgkNDaXSpUvTtGnTaOjQofTYY49RUlJSvjVXZ8+eTV27dqW4uDgnKmWOHTtGFSpUoM6dO1P79u3J3d2dhg8fTn/99RcREb3//vtUr1496tGjB508eZKOHz9OixYtolq1aqmS5REeHk5169alDh06UP369cnNzS3bcZUbam5fZX/IrXnF7du36b333qOAgADNbN+sHD9+nPr3709du3alDh060MaNG7NlXynHe2xsLNWpU6fQkXKOIDftcXFxlJqaSq+88gp5enrS0KFDs80Tnn76aRo9ejRlZmaqfi7LTb+yP5hMphwZZ3fu3KHu3bvTt99+S0Tq107Mb9+5fv069evXjx588EGqXLkyhYSEUHp6Os2aNYt8fHxUr6t9v/3+XjIzM2nIkCH02muvEVH+2/7ChQvk6upKDz30kOV8lHUfvHd/LF++PHXr1o1cXFwoLCysqF+tQOSmMescQu1x1v22YVYyMzMpPj6eBgwYQF988YXDteWnUZn/btu2jYYMGULjx4+nqlWrUmRkJJ09e5bat29PgwcPdkpEcG76FI4fP66JsamYosUEZRCkpIAOGTKEHn30UUpOTs51YHzt2jVauHAhVahQgU6cOOFsuXTlyhWqXr26paveli1bqGHDhvTAAw/QDz/8QEScOvrQQw9R2bJlaejQodS/f38qW7as007S91KQLuFZL0wJCQm0aNEiqly5Mp0+fdrpesPDw6l06dLZCtQTkSUNmohTMnr06KGZbVxQYmNjqW3bttmKcN+8eZNu3LhhSbc6ceIEGQwGGj16NL3xxhv0wgsvUPny5Sk0NFQVzcoxumjRIjp8+DBVr17dsq8rKPvPa6+9RkOGDKFVq1aRu7s7HTlyRHN609LS6JtvviFPT0/q1KkTDR48mMaOHUve3t4UHh7udL1EBeta/emnn5K7uzv16dOHgoODLWlDx48f16TeadOmUbt27XLsA7dv33ay2qKhGLwvvvgi3b17l27evEmLFy8mg8FA/fv3t7xOGWiePn2apk6dSuXKlaNjx46povnkyZPk7e1NTzzxBAUHB1PPnj3J19eX3nrrLctrlFSzUaNG0YoVK2jFihVUunRpywKfFvTm10hs0aJF1Lx5c1XMkLz0vvnmm5bXLF68mJo2bUq///47/fvvv7RgwQLVxi1a5OjRo1S2bFnLdX758uVUvXp1y0LnveO/I0eO0KxZs8jb21uV63xKSgoNHDiQnn/+ecuxvnnzZurduzd16dLFUo5lx44d1KZNG/L19aWAgACqW7euKtfBCxcukL+/P82bN8+yaDNjxgxq0KABxcbG5ni92tv31KlT5O7ubkkxzczMpD179tAvv/xiGfvcvXuXtm/frontm5Vz586Rt7c3PfPMM7Rs2TIKDg4mX19fmjFjRraFV2W/+eqrr8jb25v279+vlmQLeWmfPn06Xbp0iZKSkmj58uXk5eVFHTt2pEmTJtHYsWOpfPnyqow9Cqp/xowZeep76aWXqE6dOtkaWKpFfvpPnDhB8fHx1LRpU2rUqFG2/Tw5OTlbuRE1KMh+f6/p+dJLL2VropwfBw8epOrVq1PPnj2pb9++lvNW1mtDVgOydu3a5Ovr69S50v00Kse8WuOsgmzDrCxatIgCAgKyBRyppZGI58c+Pj5UtWpVOnr0qOX5U6dOOe34zU9fbqgxNhVTtBhw+vRpMhqNNH/+fMtzn332Gbm5uVkGZVlPqIcPH6b+/fuTv7+/JfLI2fzxxx/UsGHDbAZddHQ0DRw4kDp27GipA3n58mV68803afz48TRr1ixVIm+IbO8SvmvXLgoODqbKlStnOwE5C6VmSI8ePSzPTZs2jXr06EGBgYE0a9YsS72aqKgoTWxjW7h69Sp16tSJrl69Sunp6TR8+HBq164d1alThwYPHmwx5f766y9q2rQptW3blh5++GHVzJWQkBDy9PS0HKPR0dEUGBiYZ3Ti0qVLyWAwUIUKFSxdS52JLXpPnDhBM2fOpGHDhtGUKVNUHeDn1bV6y5YttGfPHsvFNTQ0lKZMmUKPPvoojR8/XrX94n5dtm/evElJSUnZBi3KIEztqAxb+eeff6hly5YUHR1teS4iIoJq1qxJPj4+2WroxsTE0IcffkgPPvigatcoIo5SzFqH7NKlS5Zjc9myZdle+9RTT5HBYCAvLy9Vjlki2/Ru3LiRpk+fTt7e3qpt4/z0vvHGG5bnu3fvTlWrVqW6detSUFCQqvuEloiJiSGDwWAZgxDx5LZu3bqWjq5ZOX/+PM2cOZMaN26s2uJgZmYmBQUFWSKcFP79918aNGgQ9e7dO9uYac+ePRQeHk7Xrl1ztlS6e/cuzZs3j4YMGWLpJExEtH37dqpTp06OSZ3a2zctLY1GjhxJPj4+lnPQoEGDqGnTpuTn50cuLi40c+bMbF3b1dy+97JkyRLq1atXtufeffddy9jjXgNo79691K5dO03U185Le9OmTenZZ5+1jD3Cw8Np+PDhNHjwYHryySdVG3vcy/22/fnz5y3P//PPP/Tkk0+Sr6+vZs7F+el/9tlnKSEhgU6ePEmnTp1SSWHe2LLf79mzh8aPH08VK1Ys8NwyPDycAgICaPXq1dSpUyfq16+fJeo36xw8LS2NJk2aREaj0en7ZUE1qjXOKqi+zZs3WxbFnH1s5Kfxxo0btHXr1mz7f36ZJM7Wl3Ubqjk2FVO0GHD+/HlLQeKsE+UuXbrQ8OHDLZEsCklJSfTTTz8VaIXJUfzxxx9Us2ZNy4VWCZu+du0ade/enbp3765K2lFeREZGUu/even333/P9vycOXNowIABRJR9pe3AgQO0bNky1S7AV69epa5du9LAgQPpyy+/pE6dOlHv3r1p7ty59Prrr1OZMmVo0KBBOVJV9cLevXupfPnydO3aNRozZgz17t2b/vjjD1q9ejUNHDiQ6tevb4nOjY+Pp7S0tGyTGmczduxYS8qHcox++eWX5OHhQfv27cvx+vXr11ONGjVUGzAXVO+9xbzzSidxFtOnT6cOHTpYoiiXLFlCRqORmjRpQk2bNqWAgADLNlWOVzWb4eSnt0mTJlS/fn1NDuILw7Zt26hWrVrZVvZDQkKoXbt2tHr1amrQoEG2ovS3bt1SNRrWbDbT4MGDafjw4dmeT0pKojfffJPc3NyyNZgYO3asainzRLbrnTdvHnXq1Em1qO6C6P3www8tz+/Zs4dCQkJ0VzLC0eTWqG/JkiUUFBSUzcggYpPv3LlzqhlgGRkZlJycTP3797dkeWS9Zvzzzz/UpEkTmjdvnir6cuPLL7/MoSc2NpaqVKlCx44dy5GGev78eVUNxr///puGDh1KXbt2pYCAABowYAAdPHiQ4uLi6Msvv6Ty5cvnaFSiFRYvXkwdOnSg1NTUbNv1ww8/pICAAFqxYgURZd9n1E57VshPe7169Wj58uU5/kYrjfiICr7t4+Li6Ouvv6bg4GDNGLpE+euvW7euZVFQi4vJBd32t2/fpu+//57GjRtX4EwJk8lEt2/fpsGDB9ONGzfohx9+oM6dO9PgwYPp0UcfpYULF1o8gvj4eJo2bZrTF3ULolExzxRT1JnjLFu24eLFi6lXr15OPzbup/GVV17JUf5CS/qybsMXX3xRtbGpmKI6J78T/KuvvkoNGjSwdJx39qpAfly8eJHKli2bbXCm1L64dOkSlSlThlavXq2WvBykp6dnS9EpSJdwtQY8yj4RGRlJAwcOJD8/Pxo4cGC2yeSxY8fIw8OD1q5dq4rGopKYmEjdunWjxYsXU58+fbKlwxw8eJC6detGq1atIpPJpKn9nsj6/zl//jy1a9fO0v0y62AoMTHxvqkFzqIgepXXqD3g/OCDD+7btXrs2LGUlpZm0a+m5vvp7du3b7Hpsn3p0iWqXbs2jRkzhtatW0f//PMPeXt7W9J+27VrZzHitcJbb71FjRo1yjEAj4uLo2nTplHHjh2zRV2p3cHdVr1qn2MKolcLqZlaI+tCd27Xt4iICPL09MzWvVdN7l3gfv/996lUqVKW+rxZv8PatWupbNmyqqa03m9B/tatW1StWrVsxsTBgwdVW3i9V+/u3bupb9++1Ldv3xzG+LJly6h8+fKqH/u58cEHH1D58uUtNeKz7uevvPIKlStXzhIVqpUxh0JBtGc99xJpRzuRbfqTk5NVDTLIDVv2Ha1hy7ZPTU0tlLnVvXt3Swbm77//TlWqVCGj0Ug7duwgIus5WE2j/n4aFdQaZxVUn5qL+blpNBgMFo1qB64UdBuqdX2S7vM6JSkpCTExMUhLS0NmZiYAWDp20f+7sE2dOhWJiYl46623AGTvxOds0tLSsnVYrFWrFlatWoVXX30VH3/8MQDA1dUVJpMJ/v7+6N69O06fPq2WXADZNZcqVQrt27cHwJ1y8+sSvmTJEgDI1tHdmXqVDnK1a9fGO++8gyFDhuC5555DpUqVAPB+EhgYiMDAwGxdavVEmTJl0KBBA7z77rs4fPgwypUrZ/ld27ZtUapUKRw7dgxGo1HV/R7I2RVV+f/UrVsXnTt3xocffoiUlBRLN3SAv5+Pj4/TtQK26b33NWp3gn722Wfx9NNP59u1+saNG3B3d7foV1Pz/fRWqlSpWHTZJiL4+/vjhx9+QEhICObPn4+RI0di4sSJeO211wBwN9TLly+rrDQ7bdq0QdmyZfH555/jypUrlucrVKiAAQMG4Pjx49k67yodqNXCVr1qnWMUCqL31q1bKirUHhEREXj88cctHVnvvb6ZzWY0btwYkydPxkcffYSoqCg1ZFoICQmBn58fQkJCLGPUiRMn4sknn8SQIUOwd+/ebN8hICAAtWvXznZ9UUtv1muh8thkMuHu3btwdXW1dIeeO3cu+vTpo0oX8dy2b+fOnfHaa6/hueeeg7+/PwDr/MDb2xv+/v4oW7as07Xej2effRbNmjXDwIEDcffuXbi7uyMtLQ0A8OKLL6JcuXLYunUrAO2MORQKon3btm3Z/kYr2gHbtr2npyc8PT3VlJsDW/RrDVu0e3h4oHTp0gV+b+W49/Pzs1z7f/zxR6SlpaF58+Z49913ERsbazkHO3veaotGBWePs2zVV758eafqu5/GFi1aWDSqdV21dRuqNTYVU1SHHDt2DD179kSvXr3Qvn17PPfcczh79iyMRiNMJhMMBgPMZjPKli2LCRMmYPfu3aoOjI8fP47+/fujS5cuaN++PdasWYNr167hmWeewYwZMzBp0iSsXbsWBoPBcsBmZGRkM7rU1rx27VpER0cDyD6QcXNzs5iiCxYswMqVK9G3b1/V9a5ZswaXL19GnTp18MYbb6Bbt26W1xqNRiQnJ6Ns2bJo1KiR07UWFWVy8uGHH6J9+/aIi4vDRx99hKSkJMtrqlevjtq1a+cw+NQgt4GvcoGYNWsWypUrh1WrVoGINDFItkWvllA0PvPMM5g7dy78/PyQkJCQ7TXu7u6oXr06MjIyVNevN71FQbkmtW3bFtu2bcPff/+Nbdu2YdmyZQCAzMxMJCQkoGnTpiorzU7nzp0RHByM77//Hh999BEuXLhg+V2zZs3g7++P9PR0FRVmR/QWb4gIK1aswJ49e7B69WqLMar8DrCapN26dUNMTAxOnjypilYACAsLQ9euXTFt2jQEBQVlMz+XLVuGgQMHonfv3vjyyy9x8eJFmEwmbNmyRbXFzHv1Zr0WGgwGEBFcXFxQqlQpZGZmwmw2Y9GiRVizZg3+/PNP+Pn5qarXaDRa9oPWrVujT58+FpND2Z4nT55EQEAAMjMzNXVNUbT85z//AQB07NgRycnJ8PDwAMCBIOXLl0eFChVU05gXetYOFFy/2otoeaHn7e/oba8c97169UJMTAxGjx6NHTt2YNu2bZg/fz7OnDmDyZMnW8ajaqB1jVrXpweNWtdnwYlRqYIdOHfuHPn5+dGMGTPo4MGD9J///IdatWpFderUsaTyZA2PPnr0KBkMBvr2229V0Xv+/HmqUKECTZgwgb788ksaOXIktWrVigYNGkSXLl0ik8lEixYtIoPBQCNGjKBZs2bRpEmTqEyZMtm6TWpB88CBA+ns2bNEZE0x0EKX8Pz0njlzhohypuksWLCAateu7dTOePYk6z7ev39/qlmzJg0ZMoTWrFlDkyZNovLly6u2/9iC0hihffv2akspEHrS+8orr+iqa7Xe9OaFyWTKkaKTX3Ooq1ev0oIFC8jPz89yvtICWVN6X3/9dWrYsCGNHDmStm7dShcuXKDZs2dTjRo1NNGghEj0lhQmT55M7du3p8GDB1PPnj1p69at2X6f9Rjr0KEDde3a1ckKmWPHjlHp0qVp4cKFludu3LhBYWFh2c4Ps2bNIh8fH/L397d0Q1ejOWVeesPDw3OklMbHx1Pjxo1pwIABVKpUKad1QM5KfnqVUlRZiYqKopdeeom8vb010e08L0wmE/3999/UsmVL8vf3px9++IE2bdpECxYsoEqVKml6zKpn7USiX00crf3TTz8lg8FAtWrVssxTMzMz6ccff9TMdtG6Rq3rI9K+Rq3rE1NUZyxZsoRGjBiR7bnp06eTwWAgHx8fS3Ffk8lkGRyr2VH8vffeo969e2d77uuvv6Zu3bpR9+7dLfVOd+7cSQMHDqQePXrQY489RmFhYWrIJaK8NT/00EPUvXv3bPVM1O4STpS/3m7dumXTu2HDBgoODiY/Pz9VJh72JOtEZfny5TRo0CBq0aIFDRw4ULXOuragHJ+7d++mypUra76BiN70EhH16NFDV12r9ab3Xk6cOEGjRo2iHj160MSJEy21g4hyr2V04cIFmj9/PlWtWlW181F+NZayGneff/45Pfroo2Q0GqlZs2ZUq1YtVTSL3pLNt99+S8uWLaMDBw5Qnz59qHfv3hQSEkLLly+31F9VtvnmzZstC7nOJDExkbp27Urly5e3PPfYY49RUFAQGQwG6tatG73zzjuW3+3du5d+/PFH+uabb1SZGN1Pb/fu3entt9+2/O7cuXOWDshqjDVs1RsSEkLdunWjOnXqaO6akltNXLPZTFevXqXRo0dTvXr1qF69ehQUFKS584GetROJfjWxp/aC1olcsWKFZZ7q7Hq2WteodX1E2teodX0FwUCkofwJ4b5MnToVJ0+exMaNG+Hm5gaDwYDvvvsOmzZtwu3bt5GZmYl169ZlSxPIzMxUpU4IwClSH3zwAY4dO5athtHPP/+M9957Dw0aNMDy5ctRvnx5pKenw93d3XKvFvlpXrNmDerXr4+VK1eiXLly2LBhAyZPnozNmzcjMDBQ03q9vLywa9cufPjhh1i0aJHmUlWzEhkZid9++w1XrlxBu3btMHz48ByvUU5dWVPckpOT4erqqsr+U1DNWfWazWbcvXsXKSkpTk9N0pteoOCaiciSrrF7926ULVsW1apVs9TVFb325/Tp02jfvj369euH2rVrY/PmzXBzc0Pnzp0tda3v3r2LUqVKWf4mOTkZp0+fRsWKFVGzZk2naz5z5gw2bNiAkSNHomrVqrm+Juv1Mzk5GZGRkTAajfD19UXlypWdKVf0Cti4cSOWLl2KvXv3YseOHVizZg0OHjyI6OhoXLt2DZUrV4bZbFa1lnZqaip++eUXvPzyywgMDERqairc3NwwZswYVK1aFe+//z7OnDmD5557DmPGjFFNpy16z549i+effx5PPPEEAGD58uXo378/mjVrpgu9W7ZsQf369VG3bl2n61W4dOkS/vzzTyQkJKBWrVoYNmwYgOzjjHv33QsXLsDT0xOlSpVSNX1bz9oB0V9c9x1br7FqoHWNWtcHaF+j1vUVGDWcWKHwvPrqqxQYGEj79u2j5ORkunjxIlWsWJFWr15NP/zwA9WpUydHt0k1Wb9+PTVt2pS2b9+eY0Vg1apVVKdOHUskQ34pls7EFs0JCQmqd/EsiN5z585ZnktNTXW2RJsIDw+nGjVqUI8ePeiBBx4go9FIK1asyPP1anapVbBV861bt5yoLid600tku2a10271prcomM1mmj9/Pg0bNszyXEJCAr322mvUsmVLmjBhQrbX//7776pHGp89e5Z8fHzIYDDQiy++mOs+rva1KCuiVyAiOn36dLbyJT179iRPT0/q0KED7d69W0Vl2UlNTaUff/yR6tSpQx07dsx2fouNjaVOnTrRqFGjVFSYHdHrWMLDw6l69erUs2dPatKkCdWsWZOWLFmS5+sL02HbUehZO5HoVxNHai/sNTa3KFVHoXWNWtdHpH2NWtdnC2KK6pBOnTqRv78/NW/enMqUKUPPPvus5Xfe3t703XffqaguJw888AC1bNkyWxq3gq+vL61evVoFVfmjN81605sXFy9epICAAJozZ47lhPnJJ59Q5cqVc603uHjxYho3bpyqCwF606w3vUT606w3vfZg7Nix1KVLl2zPJSQk0KpVq6hNmza0dOlSIiLauHEj1ahRgxYsWKDaoCgpKYnGjRtHY8eOpTVr1pDBYKDZs2fnaf6vWLEi34mMoxG9goLJZKIuXbpQVFQUjR49mqpVq0Zr166lRx99lNq2bUu7du1SW6KFlJQU2rhxI23evNmSWqfcP/fcc9SlSxdNTYxEr2OIjIykOnXq0Ny5c8lkMtG1a9doxYoV1KVLF7p+/XqO18+YMYNmzpxJSUlJKqjNjp61E4l+NXGkdj1cY7WuUev69KBR6/psRbrP6wiTyQQA2LNnD15++WU8//zz+OKLL/DBBx/AbDbj1KlTqFWrFurXr6+yUkbR+8cffyA1NRXBwcE4ceKE5fcpKSmoX78+qlSpopbEHOhNs9705ofZbMa6desQEBCA+fPnW1JJ2rZtCzc3t1y70nl6emLv3r3w8vJytlwA+tOsN72A/jTrTW9Rof+XsWjVqhVMJhNOnz5t+V3ZsmUxbtw4BAUFYcOGDbh79y4GDBiAcePGYdy4caql+BqNRrRu3Rp9+/bF5MmTsW7dOqxatQorVqxATExMttfGxcXhyJEj2LRpE+Li4kRvMdSrF4jI0jW8Y8eO+Pvvv7Fp0yZMmjQJEyZMQN26dVG7dm21ZVooXbo0evXqhZ49e8LFxQUALPcxMTFo2bKlqmn+9yJ67Y/JZMK6devQuHFjLFiwAEajEVWqVEGnTp0QEhKC27dv5/ibGjVq4LPPPkNKSooKiq3oWTsg+tXE0dr1cI3Vukat69ODRq3rsxmVTVnBRvIqZJuZmUkvvfQSNW7cWFNpmMoq9eXLl6lp06bUuHFjeuONN+i3336j2bNnk4+Pj+aio/SmWW9682PXrl00b968bM+ZTCaqXbs27dy5M9e/iYuLc4KyvNGbZr3pJdKfZr3ptQfnzp0jPz8/GjduHCUmJhKRNWUmKiqKDAYDbdiwQU2J2bg3GmPdunVkMBho1qxZFBMTQ0R8Xb19+zbFxsZSdHS0GjItiN6SgclkyjHOuzfa7+uvv6b27dvn6HquRnRUQfRmJSUlxdJc7dSpU46WlwPR63x+/fXXbI21TCYT3blzh/z9/S0diO/l9u3bTlKXP3rWTiT61cTR2vVwjdW6Rq3r04NGreuzBTFFiwHh4eE0btw48vb21lyHvaxkZmbShAkTqGPHjlS3bl3q0KGDpvUS6U+z3vQS5W30K4aKyWSiOnXq0NatWy2/2759u8X8V6Mund40600vkf40602vI/jrr7/I3d2dnnvuuWzpM9euXaMWLVrQvn37VFSXO5mZmZZt/91331nSf65evUrTpk2jRx99lNLS0lRWaUX0Fl9OnDhBo0aNoh49etDEiRNp48aNlt9lPb/cvXs32+RZrXNHQfUq/PLLLxQcHExVq1ZVZVwietXhzp07lsfKvmo2mykgIID27t1r+V3Wa6NW0LN2ItGvJs7SrodrrNY1al2fHjRqXV9BEFNUY9y4ceO+K0X3rhIfP36cli5dSidOnHCgsty5cOECvfnmmzRjxgxat25drq8xm83ZNMfHx9O1a9eyXTCcid40602vLZw+fZpWrVqVbeUo6wQvIyODkpKSKCAggPbv309ERC+++CIZDAa6evWq0/US6U+z3vQS6U+z3vQ6kvXr15O7uzs99thjtG7dOoqIiKB58+ZR1apV6fLly2rLy5Ws589169aRm5sbNWzYkFxdXTVlLiiI3uLHqVOnyNvbm0aMGEHz5s2jFi1aUJs2bWjatGmW19w7oVCzXmRB9Kanp2f7m8jISHr11VdzravsaESvdsjMzKT4+HiqWrUqHThwgIiIXnrpJTIYDHTlyhVNLxDqWTuR6FcTR2rXwzVW6xq1ro9I+xq1ru9+iCmqISIiIqhUqVI0ZMiQAplZFy9etDzOyMhwpLRcsbW7strdhon0p1lvem2hIB3rTCYTpaamUr169ejw4cO0ZMkS8vLyooMHD6qgWH+a9aaXSH+a9abXGRw5coS6du1KtWrVonr16lGDBg00PyAym82WSclDDz1EPj4+FB4errKqvBG9xQez2Uzz58+nYcOGWZ5LSEig1157jVq2bEkTJkzI9vrff/+dbt686WyZFgqjV4mIzyui3pGIXnW5d36SmZlJcXFxVLVqVYqIiKBly5aRl5dXjnIQWkDP2olEv5o4W7serrFa16h1fUTa16h1ffkhpqhGuH79Oj3wwAP00EMPkZ+fHw0dOjRfY3TVqlXUs2dPOnTokBNVWtFjd2W9adabXluwtWNdUFAQtW3blkqVKqXaPq83zXrTS6Q/zXrT60zu3LlDkZGRFB4enuf20BqZmZk0ffp0MhgMFBYWprac+yJ6iw9jx46lLl26ZHsuISGBVq1aRW3atKGlS5cSEdHGjRupRo0atGDBAlUjRW3VO3/+fDKZTKpFcoledVBM2sjISPr8888tz5tMJmrVqhU9+OCD5O7ursnroZ61E4l+NVFLux6usVrXqHV9RNrXqHV9eSGmqEbYvHkzjRw5kg4dOkQHDhwgHx+ffI3Rzz77jLp06aJKOqLJZKJly5ZR3759KT4+3vK8EtWYW3H35cuXU8OGDen69evOlGpBb5r1ptdWUlJSaM2aNZZyAN9//32uhlJmZibFxsaSt7c3ubi4qLrapDfNetNLpD/NetMr5E9mZiZ9/PHHFBISoraUAiF69Y9iYr3zzjvUqVOnHNf2uLg4mjBhAj3wwAOWdOlFixaptvgpeh2L3vTmhxIpFxkZSaVKlaInn3zS8ruYmBjy8vIiNzc3TU6a9aydSPSriZra9XCN1bpGresj0r5GrevLCzFFNcLNmzezdSX+999/LcZoVlMsa2qMmvUi9dhdWW+a9abXVgrSsS4jI4Nu3bpFf/75Jx0/flwNmdnQm2a96SXSn2a96RXyR2uRVvdD9BYPzp07R35+fjRu3DhKTEwkIuu2ioqKIoPBQBs2bFBTYjZEr2PRm957yWoMVahQgcaNG2d5zmw2U0ZGBr377rt0+vRpNWXmip61E4l+NdGCdj1cY7WuUev6iLSvUev6ckNMURXJq/aPkhK1f//+bBGjd+/epbVr19LmzZuJSLorFwS9adabXnuQX8e66dOn0+DBgyk5OVllldnRm2a96SXSn2a96RUEQVv89ddf5O7uTs8991y2SPNr165RixYtaN++fSqqy4nodSx606twrzE0ZsyYXPseqNEL4X7oWTuR6FcTPWsXBEFMUdXIrVtxbiip9MOGDaOnnnqK3Nzc6Ny5c05SaUWP3ZX1pllveu1JXh3rXFxcNBt+rzfNetNLpD/NetMrCIK2WL9+Pbm7u9Njjz1G69ato4iICJo3bx5VrVpVlXJJ90P0Oha96c1aSzE/Y0iL6Fk7kehXEz1rFwSBEVNUBQrSrTgre/bsIYPBQD4+PnTkyBEnqbSix+7KetOsN72OQI8d6/SmWW96ifSnWW96BUHQFkeOHKGuXbtSrVq1qF69etSgQQM6evSo2rLyRPQ6Fr3pvXjxInl6etJTTz2VZ/aTVtGzdiLRryZ61i4IApGBiAiC00hOTsYLL7wAs9mMtm3bYsqUKZg1axbmzJkDPz+/HK+/e/cupk6dim+++Qb79+9HkyZNNK23VatWcHV1RVhYGPbu3Ys2bdo4Va8eNetNryMxmUyYPXs2Vq9ejdDQUDRv3lxtSfdFb5r1phfQn2a96RUEQVskJCQgLi4OiYmJqFq1aq5jAS0heh2LXvSaTCY888wzMBgM+OCDD+Dq6qq2pAKjZ+2A6FcTPWsXBIGRo9bJGI1GtG7dGr6+vhg+fDj8/PwwYsQIAMjVBAsLC8Pu3buxY8cOpxuitug1mUy4c+cOLly4gKSkJISEhKBZs2ZO16tHzXrT62iaNm2Ko0eP6spI0ptmvekF9KdZb3oFQdAO5cqVQ7ly5dSWUWBEr2PRi14XFxesWrUK3t7eMBqNasuxCT1rB0S/muhZuyAIjESKqkBycjK8vLwsP3///fcIDg7GzJkzMW/ePPj6+sJsNuPq1auoWbMmbt++jQoVKmhab2ZmJuLj43HkyBHUqFEDTZs2VU0voD/NetPrSIgIBoNBbRk2oTfNetML6E+z3vQKgiAIgiAIgiCUNCRSVAUU88tkMsFoNGL48OEgIowcORIGgwHTpk3DqlWrEBkZiW+//VZVQ9QWvRcvXsTXX38NT09PVfUC+tOsN72ORI9Gkt40600voD/NetMrCIIgCIIgCIJQ0pBIUZUhbnYFo9GI77//HqNHj0bdunVx/vx5HDx4EEFBQWpLzEZees+dO4fDhw+jZcuWakvMgd40602vIAiCIAiCIAiCIAiC3hBTVAMo/wKDwYAePXogNDQUf//9t2brRepNL6A/zXrTKwiCIAiCIAiCIAiCoCckfV4DGAwGS7finTt3IjQ0VNPml970AvrTrDe9giAIgiAIgiAIgiAIekJapGkIvXUr1pteQH+a9aZXEARBEARBEARBEARBD0j6vIbQW7divekF9KdZb3oFQRAEQRAEQRAEQRD0gJiigiAIgiAIgiAIgiAIgiCUKCR9XhAEQRAEQRAEQRAEQRCEEoWYooIgCIIgCIIgCIIgCIIglCjEFBUEQRAEQRAEQRAEQRAEoUQhpqggCIIgCIIgCIIgCIIgCCUKMUUFQRAEQRAEQRAEQRAEQShRiCkqCIIgCIIgCIIgCIIgCEKJQkxRQRAEQRAEQRAEQRAEQRBKFGKKCoIgCIIgCIIgCIIgCIJQohBTVNA9Xbt2hcFgwBtvvJHteSJC+/btYTAYsGTJEpXUCYK+keNLEARB0ALvvvsuatWqBVdXV8yaNUttOYLgVLp164Zp06apLSMHb7zxBsqUKWO53TteFITiwrx58zBw4EC1ZQgOwFVtAYJQFIgIISEhqFWrFo4dO5btd1988QWio6MBAK1atVJDniDoGjm+BMExHDx4EHPmzMGBAwdQq1YtfP311zh69Cg2btyI9evXqy1PEDRHWFgYZsyYgd9//x1BQUHw9vZWW5IgCAAmTpyIYcOGWX728fFRUY0gOI7Q0FC0bt1abRmCA5BIUUHXnD17FomJiRgzZkw20yYxMREvvvgixo4dCwByAhOEQiDHlyDYn/3796Nr164YMGAAwsPD0bhxYyxZsgTLly/HK6+8orY8QdAkGzduRLt27dC/f39UrVoVnp6eaksSBAFsggYEBFhuYooKxZXQ0FA0b95cbRmCAxBTVNA1R44cgaenJ4KDg3H69GncvXsXAPDqq6+iTZs2qFixIqpUqYKqVauqrFQQ9IccX4Jgf2bMmIGhQ4di9uzZqF+/PoKDg7Fp0ya0aNECQUFBassTBM0REBCAl156Cfv27YPBYMCTTz6ptiRBUJX09HS88MILqFSpEjw8PNC5c2ccOnQo22sSExMxatQoeHl5oWrVqnjrrbfsmoJ//vx5GAwGbNy4ET169ICnpycaNmyIAwcO2OX9BUFLXL9+HTdu3IDJZEKXLl3g6emJtm3b5sikE/SJmKKCrjl69CiaN2+Ohg0bwsPDA6dOncLZs2fx/vvv480338TRo0dtSu2Njo7GqFGjHKhYEPSDLcfX4MGDUaFCBQwZMkRl1YKgXa5cuYJ///0XEydOtDzn6uoKIpIoUUHIg3379qFu3bpYuXIlrl27hrVr16otSRBUZc6cOfj555/xxRdf4OjRowgICECfPn0QFxdnec2MGTOwd+9erF+/Htu2bcPu3btx9OhRu2kICwuDwWDAm2++iYULFyIsLAz+/v6YN2+e3T5DELRCaGgoAGD16tVYunQpDh8+jDJlyiA4OFhdYYJdEFNU0DWKKWMwGNC8eXMcO3YM06dPx6RJk1C/fn0cOXLEptTeatWq4ZtvvnGgYkHQD7YcX1OnTsWXX36psmJB0DYnT54EkL0O7+nTp9GuXTs0a9ZMLVmCoGnKlCmDixcvonPnzqhSpQrKlClToL+Lj4/HRx995GB1guBckpOT8f7772PlypXo168fmjRpgv/+978oXbo0PvnkEwAcJfrFF19g1apV6NGjBwIDA/HZZ5/BZDJle6+8FrQ3btyIhg0bon79+vj4449z1REWFoby5cvj+++/R7du3VC/fn08/PDDuHXrlmO+uCCoSGhoKDw8PPDbb7+hU6dOaNKkCV5//XWcOHECMTExef7d7Nmz0bRpU7z++uu5/ixoAzFFBV2TNVKtZcuWWL16NQ4fPoyFCxciLS0Np06dQqtWrXDx4kW0aNECo0aNQv369TFp0iT89ttvaN++PQIDA3H27FkAwMWLF9GmTRvL4xYtWmDMmDFo3Lgxhg8fDiJS7bsKgrMp6PEFcFfUsmXLqilXEDTPnTt34OLiAoPBAACIi4vDqlWrpD6iIORDeHg4ANi8cCCmqFAcOX/+PDIyMtCpUyfLc25ubmjXrp1l4e3ChQvIyMhAu3btLK/x9vZGw4YNs71XbgvamZmZmDFjBv766y+EhIRg5cqViI2NzaEjLCwMjzzyCCpWrGh5LjIyEgEBAXb5noKgJUJDQzFs2DBUq1bN8lyFChUAAGazOc+/+/zzz3Hs2DEsWLAg158FbSCmqKBbLly4gPj4eIspExQUhMOHD2Pp0qUoW7YswsLCkJmZaYlkO3nyJBYtWoRTp07h77//xt69e3HgwAE8//zzeO+993L9jJMnT2Lu3LmIiIjAjRs3sGfPHqd9P0FQE1uPL0EQ7k/Lli1hMpmwYsUKnDp1CsHBwahduzYiIiJw6dIlteUJgiYJDQ1FQEAAvLy8kJSUhL59+6JZs2Zo1qwZtmzZAgAYOHAgWrdujcDAQEvGz4IFCxAREYGWLVtiyZIlan4FQdAkuS1oHzx4EE2bNkX16tVRpkwZ9OvXD1u3bs3xt2FhYejYsWO250JDQ9GyZctsP3fs2BEtWrTA8uXL0adPH4d8D0FwNPfu2wA3zqxevToqVaqEr776Cm3btkWLFi0wY8YMAByJffv2bbRq1Qp//PFHjp8F7SCmqKBbjhw5glKlSiEwMBAAMGbMGNy6dcvSEfvo0aOoWLEiatasCQBo2LAhGjZsCBcXFzRu3Bg9e/YEwJEHFy9ezPUzGjZsiCZNmsBgMCAoKCjP1wlCccPW40sQhPsTEBCAJUuW4O2330ZQUBCqVauGrVu3onr16ujbt6/a8gRBk4SGhqJFixYAgC1btsDX1xfHjh1DeHi4xZT58ssvceTIERw4cACvv/460tPT8frrr6NJkyYIDQ3FokWL1PwKgmA36tWrh1KlSmHv3r2W5zIyMnDo0CE0adIEAFC3bl24ublla750584dnDlz5r7vHx0djerVq1t+rl69Oq5evZrtNXfu3MHFixdzNAfMahxlZGRg7Nix+OyzzxAWFoa9e/dK525Bl6SkpODs2bPZyk+YzWa8/fbbGDt2LE6ePInff/8d//77L8LCwhATE4NNmzbh119/Rfny5REaGor+/fvn+FnQDq5qCxCEwnL06FEEBgbCzc0NAKeO+Pn5Zft91ou1u7u75bHRaLT8bDQac9TYye1vXFxc8nydIBQ3bD2+BEEoGAsXLsTChQuzPXfkyBGV1AiC9gkNDcXDDz8MgBeyp02bhjlz5mDw4MEWU/Stt97C+vXrAQBRUVGIioqyXL8EoTjh5eWFSZMmYfbs2fDx8YG/vz9WrFiBlJQUjB8/HgBQtmxZjBkzxvKaSpUqYfHixTAajZbyLUUhPDwcrq6u2UpaXLp0Cbdv37aYor/++is6duyIRo0aAQAaN25sWWgXBD0RHh4OFxcXfPbZZ+jatSvKlSuHBQsWIDU1FXPnzsUXX3yB/fv3W0rwpaSkSCadzhBTVNAtS5cuxdKlS/P8/X//+18nqhGE4oUcX4IgCILamM1mHDt2zLKQ0KBBA4SGhmLjxo2YMWMGRo0ahaZNm1pKInl4eKBNmzZIT08XU1QotixbtgxmsxmjR49GYmIi2rRpgy1btlhqHALAm2++iYkTJ2LgwIEoV64c5syZg8uXL8PDwyPf965WrVq2yNCrV69mq00KcOp8w4YNs71XSEgIypcvj9q1awNgIylruvGJEycwcuTIInxrQVCH0NBQNGjQAIsWLcLgwYMRHx+PQYMGYd++fShbtizMZjMmTJiAxYsXqy1VKCRiigqCIAhFpmfPnggLC0NycjJq1KiBH3/8MUetKUEQBEGwBaPRiOTkZMvP0dHR8PHxwZgxY+Dh4YFt27ahZs2a8PX1hYeHB0JDQxEWFgaAo+USExPVki4IduXvv/+2PPbw8MA777yDd955J8/Xly1b1lJfF+Cu9a+88gqeeeaZfD+nXbt2OH78OK5evQpvb29s3rw5R3bDlClTMGXKlGzPPfroo3j00UctP/v4+ODcuXMW7Tt27MAvv/xyv68pCJpj4sSJmDhxIgBg2LBhOX7fo0cPDB06FFOmTIGvry9u3rwJk8mEqlWrOluqUEgMJO20BUEQBEEQBEHQOFu2bMGsWbPg4uKC0qVL45NPPkG9evXwyCOPICoqCk2bNsXly5fx8ccfIzAwEMHBwTh+/DiGDh0qdUWFEkVISAhOnTqFdu3a4c6dO1iyZAn+/vtvnDt3zlIOKeuCto+Pj2VBe/369Zg1axbMZjPmzJlzXyM1N27evIn+/fsjIyMDPXr0wOHDh/HPP//Y+2sKgib45ptvsHLlSpjNZri7u+Pzzz9H06ZN4efnh5iYGMvr7v1Z0AZiigqCIAiCIAiCIAhCMSEkJARPP/00Tp8+jVKlSqF169Z48803s9UBdSTJycnw8vKC2WzG3Llz0aBBA0yYMMEpny0IgmALYooKgiAIgiAIgiAIgmAXXn75Zfz0009wdXXFgAED8Nprr9mlyZMgCIK9EVNUEARBEARBEARBEARBEIQShVFtAYIgCIIgCIIgCIIgCIIgCM5ETFFBEARBEARBEARBEARBEEoUYooKgiAIgiAIgiAIgiAIglCiEFNUEARBEARBEARBEARBEIQShZiigiAIgiAIgiAIgiAIgiCUKMQUFQRBEARBEARBEARBEAShRCGmqCAIgiAIgiAIgiAIgiAIJQoxRQVBEARBEARBEARBEARBKFGIKSoIgiAIgiAIgiAIgiAIQolCTFFBEARBEARBEARBEARBEEoUYooKgiAIgiAIgiAIgiAIglCi+B+aJl8AlpD8ggAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corner.corner(\n", " flatchain,\n", " labels=[\n", " r\"$M_{\\rm min}$\",\n", " \"$M_1$\",\n", " r\"$\\alpha$\",\n", " r\"$f_{\\rm sat}$\",\n", " r\"$\\log_{10}\\bar{n}_g$\",\n", " r\"$b_{\\rm eff}$\",\n", " ],\n", " quantiles=(0.16, 0.84),\n", " show_titles=True,\n", " title_quantiles=(0.16, 0.5, 0.84),\n", " levels=(1 - np.exp(-0.5), 1 - np.exp(-2), 1 - np.exp(-4)),\n", " plot_datapoints=False,\n", " plot_density=False,\n", " fill_contours=True,\n", " color=\"blue\",\n", " hist_kwargs={\"color\": \"black\"},\n", " smooth=0.5,\n", " smooth1d=0.5,\n", " truths=[12.0, 12.8, 1.05, None, None, None],\n", " truth_color=\"darkgray\",\n", ")\n", "\n", "plt.savefig(\"default_corner.pdf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we're done! The posterior contains the truth to within 1-sigma." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's also plot the residuals:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2020-09-28T16:22:58.770369Z", "start_time": "2020-09-28T16:22:57.652771Z" } }, "outputs": [], "source": [ "xi_out = sampler.get_blobs(discard=500, thin=5, flat=True)[\"corr_auto_tracer\"]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2020-09-28T16:22:59.989982Z", "start_time": "2020-09-28T16:22:59.743055Z" } }, "outputs": [], "source": [ "quantiles = np.quantile(xi_out, [0.16, 0.50, 0.84], axis=0)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2020-09-28T16:23:01.542358Z", "start_time": "2020-09-28T16:23:00.672860Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(model.r, mock_data / quantiles[1])\n", "plt.errorbar(\n", " model.r,\n", " mock_data / quantiles[1],\n", " yerr=0.2 * np.abs(fiducial_model.corr_auto_tracer) / quantiles[1],\n", " fmt=\"none\",\n", ")\n", "\n", "plt.fill_between(model.r, quantiles[0] / quantiles[1], quantiles[2] / quantiles[1], alpha=0.3)\n", "plt.xscale(\"log\")\n", "\n", "plt.xlabel(\"r [Mpc/$h$]\", fontsize=14)\n", "plt.ylabel(r\"$\\xi(r) / \\hat{\\xi}(r)$\", fontsize=14)\n", "plt.savefig(\"residuals.pdf\")" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.5" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": true, "autocomplete": false, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "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": 1 }