{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**Warning** *this is an extremely technical blog post (even for me) but I think that it's an interesting experiment so I thought I would post it anyways!*\n", "\n", "The *Kepler* Mission has been a great success story for open science. The recent data releases have been on a fast and regular schedule and the data products are sometimes made public before the science office publishes their papers. Therefore, when the most recent installment in the \"rate of Earths\" saga—a discussion [close to my heart](http://arxiv.org/abs/1406.3020)—hit the ArXiv as [Burke et al. (2015)](http://arxiv.org/abs/1506.04175), I decided to see if I could reproduce their results by following the steps described in their paper. Crazy, right?\n", "\n", "In this blog post, I'll go through the steps to reproduce most of their key results as an experiment in *Open Science*. [*Spoiler alert: I dont get exactly the same results but I do come to the same conclusions...*]\n", "\n", "It's also worth noting that Burke also posted code and results to supplement the paper: [christopherburke/KeplerPORTs](https://github.com/christopherburke/KeplerPORTs).\n", "\n", "\n", "## The science case\n", "\n", "While the point of this post isn't to discuss the physical implications of this result, it is worth taking a moment to motivate this experiment. One of the key areas of research in exoplanets is (what I like to call) *population inference*; determining the underlying occurrence rate and distribution of exoplanets and their physical properties. This is interesting as a data science problem because we now have large catalogs of exoplanet discoveries and characterizations and it's interesting scientifically because it is the best shot we have of connecting exoplanet observations to theories of the formation and evolution of exoplanet systems. It also places a constraint on the frequency of planets like Earth and planetary systems like our Solar system (Are we alone? and all that...).\n", "\n", "There has been a huge amount of research in this field but [Burke et al. (2015)](http://arxiv.org/abs/1506.04175) present (arguably) the most careful treatment of the systematic effects based on a characterization of the official *Kepler* pipeline. Even before submission, the data products describing this characterization were all publicly available on the [Exoplanet Archive](http://exoplanetarchive.ipac.caltech.edu/).\n", "\n", "\n", "## The problem\n", "\n", "The basic data analysis question that we're trying to answer here is: given an incomplete catalog of planet parameters (smaller planets on longer periods are harder to find), what can we say about the underlying distribution of properties? For this model, we'll use the Poisson process likelihood to compute the probability of a set of measurements (e.g. orbital period, planet radius, etc.) $w_k = (P_k,\\,R_k)$, given a parametric model for the underlying \"occurrence rate\" $\\Gamma_\\theta(w)$\n", "\n", "$$p(\\{w_k\\}\\,|\\,\\theta) = \\exp \\left(\\int Q(w)\\,\\Gamma_\\theta(w)\\,\\mathrm{d}w\\right) \\, \\prod_{k=1}^K Q(w_k)\\,\\Gamma_\\theta(w_k)$$\n", "\n", "where $Q(w)$ is an estimate of the (mean) detection efficiency (or completeness) as a function of the parameters $w$. Then, we just need to optimize for $\\theta$ or choose a prior $p(\\theta)$ and sample using MCMC. Like Burke et al., we'll build our model in orbital period (in days) and planet radius (in Earth radii) and use a product of independent power laws in the two dimensions for $\\Gamma_\\theta (w) = \\Gamma_\\theta (P)\\,\\Gamma_\\theta (R)$.\n", "\n", "\n", "## The data\n", "\n", "To start, let's download (and cache) the dataset from the Exoplanet Archive. Don't worry about the details of these functions but what they do is download the csv tables (`q1_q16_stellar` and `q1_q16_koi`) and save them as a pandas block.\n", "\n", "*Edit: for the purposes of reproducibility I've saved the pre-generated tables to Zenodo and we'll download those first. But, the code used to create these data files is still included below if you don't want to use the pre-generated files.*" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:26:25.825936Z", "iopub.status.busy": "2022-06-06T11:26:25.825653Z", "iopub.status.idle": "2022-06-06T11:28:51.849889Z", "shell.execute_reply": "2022-06-06T11:28:51.848721Z" } }, "outputs": [], "source": [ "!mkdir -p data\n", "!wget -qO data/q1_q16_koi.h5 \"https://zenodo.org/record/6615440/files/q1_q16_koi.h5?download=1\"\n", "!wget -qO data/q1_q16_stellar.h5 \"https://zenodo.org/record/6615440/files/q1_q16_stellar.h5?download=1\"" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:28:51.856257Z", "iopub.status.busy": "2022-06-06T11:28:51.855736Z", "iopub.status.idle": "2022-06-06T11:28:52.160715Z", "shell.execute_reply": "2022-06-06T11:28:52.159980Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "import os\n", "import requests\n", "import pandas as pd\n", "from io import BytesIO\n", "\n", "\n", "def get_catalog(name, basepath=\"data\", columns=\"*\"):\n", " fn = os.path.join(basepath, \"{0}.h5\".format(name))\n", " if os.path.exists(fn):\n", " print(\"Using cached data file.\")\n", " return pd.read_hdf(fn, name)\n", " if not os.path.exists(basepath):\n", " os.makedirs(basepath)\n", " print(\"Downloading {0}...\".format(name))\n", " url = (\n", " \"http://exoplanetarchive.ipac.caltech.edu/cgi-bin/nstedAPI/\"\n", " \"nph-nstedAPI?table={0}&select={1}\"\n", " ).format(name, columns)\n", " r = requests.get(url)\n", " if r.status_code != requests.codes.ok:\n", " r.raise_for_status()\n", " fh = BytesIO(r.content)\n", " df = pd.read_csv(fh)\n", " df.to_hdf(fn, name, format=\"t\")\n", " return df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will make the cuts on the stellar sample to select the G and K dwarfs:\n", "\n", "* $4200\\,K \\le T_\\mathrm{eff} \\le 6100\\,K$,\n", "* $R_\\star \\le 1.15\\,R_\\odot$,\n", "* $T_\\mathrm{obs} > 2\\,\\mathrm{yr}$,\n", "* $f_\\mathrm{duty} > 0.6$, and\n", "* $\\mathrm{robCDPP7.5} \\le 1000\\,\\mathrm{ppm}$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:28:52.166402Z", "iopub.status.busy": "2022-06-06T11:28:52.165907Z", "iopub.status.idle": "2022-06-06T11:28:52.307231Z", "shell.execute_reply": "2022-06-06T11:28:52.306396Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using cached data file.\n", "Selected 91446 targets after cuts\n" ] } ], "source": [ "import numpy as np\n", "\n", "thresh = [1.5, 2.0, 2.5, 3.0, 3.5, 4.5, 5.0, 6.0, 7.5, 9.0, 10.5, 12.0, 12.5, 15.0]\n", "cols = [\n", " \"mesthres{0:02.0f}p{1:.0f}\".format(np.floor(t), 10 * (t - np.floor(t)))\n", " for t in thresh\n", "]\n", "stlr = get_catalog(\n", " \"q1_q16_stellar\",\n", " columns=\"kepid,teff,logg,radius,mass,dataspan,dutycycle,rrmscdpp07p5,\"\n", " + \",\".join(cols),\n", ")\n", "\n", "# Select G and K dwarfs.\n", "m = (4200 <= stlr.teff) & (stlr.teff <= 6100)\n", "m &= stlr.radius <= 1.15\n", "\n", "# Only include stars with sufficient data coverage.\n", "m &= stlr.dataspan > 365.25 * 2.0\n", "m &= stlr.dutycycle > 0.6\n", "m &= stlr.rrmscdpp07p5 <= 1000.0\n", "\n", "# Only select stars with mass estimates.\n", "m &= np.isfinite(stlr.mass)\n", "\n", "base_stlr = pd.DataFrame(stlr)\n", "stlr = pd.DataFrame(stlr[m])\n", "\n", "print(\"Selected {0} targets after cuts\".format(len(stlr)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After applying these same cuts to a pre-release version of this catalog, Burke et al. found 91,567 targets.\n", "\n", "[*Using the machine readable version of their Table 1, I tried to work out the reason for this difference and I couldn't reverse engineer any cause. Some of the targets missing from our catalog are just artificially fixed at Solar values so they seem reasonable to skip. This effect explains about half the difference between the results.*]\n", "\n", "We can now make a plot of the HR diagram of these sources to reproduce Figure 3 from Burke et al.:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:28:52.339882Z", "iopub.status.busy": "2022-06-06T11:28:52.339127Z", "iopub.status.idle": "2022-06-06T11:28:53.789043Z", "shell.execute_reply": "2022-06-06T11:28:53.788317Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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gYOCUtfgrKBwLihg6zfg2igelBV7hu8pon+fW1lZKS0vxer2UlpYOSZNZLBYSEhJobW1l//79p2L3BWq1moGBAdLT0+ns7KSvr49rr71W+VwrnDYoabLTEFk8fBuE0Kng21SArjAxOJ57aqTP82gpZLfbzebNm3n33XfJzc095VEYk8nE9OnT+b//+z/OOecc0tLS0Ov14u/KZ05hoqNEhhSOm9OpNf7bVoCucOo5UffU4KgRQENDAxaLheLiYj799FMqKyux2+3H/V5Hi1arRZIkJElCr9fjdDrZvn07Z555JhaLhdDQUNRqNTU1Neh0Or+5aspnTmEiooghhePidBMXSveawnjT0NBAXl4eAwMD435PyVEjt9vNY489xq5du3A6nTQ3N9PU1HRKIi1arZaIiAj0ej0dHR0EBATQ0dEBgNPpBMBqtaJWq1m9ejUGg4Ha2lri4+OVz5zChEVJkykcF6dbd5vSvaYwnrjdbrZu3Up1dTV1dXXDdn2NB/LU+p07d5Kbm0tzczNarZbY2FjU6pP7Na5Wq5k6dSopKSmEhYWh0WjQ6XSoVCo0Gg1BQUHo9XpMJhNlZWUicqVWq0lMTMRisZzU/VVQGAtKZEjhuDjdutu+jQXoCqcOucg5Pj4erVbLkiVLjumeGpxq9v03QHNzM16vF4fDgdPpRJIkkpOTufbaa6mvr+dvf/ubX3t9bGwsDQ0N43acvrhcLlwuF4WFhdhsNlQqFRaLhWnTpmGz2ZAkCY/HQ2trK0ajkfDwcM4//3xsNhvV1dVs2bJlwkeQFb57KGJI4bg4XcTF4MVGCdMrjAeDfwwcy301ONW8YsUKtmzZQnFxMZmZmQCUlJQQGhqK1+vF7XbjdrupqakhJyeH22+/nSuuuIKbbrpJpKsaGhpQq9Xo9Xr6+vrG9ZgB9uzZI8SXJEl0dnayZ88ewsLCmDVrFkajkf7+fiwWC6tXryYiIoJ169bhcDiUVJnChEQRQwrHzUQXF6dbXZPC6cNYfgwcqcFgcKq5rKxM/Hv37t0MDAzQ3d2N2WzGbDbT29sLHJ65tGTJEubPn8/zzz/PZZddxnPPPSe26/V6T4gQkrc93GM2m41p06YRFxcnCqYzMjJobW0lMzOT0tJSMjMzhaBTPocKEwWlZkjhW8/JrmtS2oi/W4xmdTGW+WKD69gyMjLEv7Ozs6moqODrr79m7969XHTRRWi1//0N63Q62bFjBwsWLKC7u/uk/SiJiIggPj4elUolHlOpVMTExHD//fezevVqNmzYIKJc69atA+Dee+8FYN26dcosQoUJhRIZUvjWczLrmpQolIIvI3UvDo4WDW6hX7RoEYsWLaK5uZm///3veDweampqaGtrIzMzk7CwMHJzc3G5XHg8Hqqrq6muriY+Pp5JkybR0tJywo5JpVJxxRVX8Mknn4hUmUajYebMmaSnp2Oz2ejv7ycqKsrv+EtKSpgxYwYlJSVKukxhwqGIIYVvPSOlMk6EP5LSuq/gy3BCfCTBLIsk37/95Cc/QafT4XK5kCQJu91OUVERkZGRJCYmUldX55cKq6urO+HHpFKp8Hg8fkaParWa+Ph4srOz/TyFVqxYwcyZMyksLKSrq4vnn3+enp4eQkNDT4uGC4XvDooYUvhOMLiu6URFcMYShTqdTCoVjo/hhHhDQ8OIglkW0z09PeTl5bFgwQLmzJmD2+2msbFRTKRva2vDZrMxffp0ioqKTuoxBQcH09nZSVxcHC0tLUiSRFhYGD/5yU/IysriwQcfpKOjg8LCQqxWKytXrqSoqIjHHnsMq9WKxWJh1apVZGdnK/e/woRBEUMKE5bjEQ1HW7Q6XhGcIxXUKmm07x6DhfhoglmeVL9161YAtm/fzqxZs9BqtURFRfHOO+9QUVEBHK4X0mg0xMfHn7SIkMlkwm63s3v3bmEn4PF4sNvt/Otf/2L+/PlYrVYqKirIyMjAYrGg0+nIyMigp6dHPJ6RkaHc9woTCkUMKUxIjkc0jOW1J7KOaLTuOiWNpnAkwXzeeeexa9cuvF4v5eXlrF+/niVLlgDw85//nPPOO4/m5mYMBgMxMTHcfffdLF++nO7ubnQ6nXCBHm/kNJ1KpcJqtdLd3S1qhpxOJ/v27UOr1WIwGJg+fTqhoaFYrVZMJhNWq5XQ0NAhjysoTBQUMaQwITke0TCW154qf6TTzaRS4cQwnGCWRXxhYSEul4vQ0FAyMzMZGBjglVdeYc+ePfT19XH22WdTXV1NX18fJSUlXHvttWIbJ2NgqyRJuN1uAgIC0Gq1DAwMoFKpaG9vZ/LkycTFxVFeXu53f0dFRZGTk6Pc9woTFkUMncZ8m2tPjkc0jPW1p8If6XQxqVQ4+fjOOAsNDeUXv/gFO3bs4Ne//rWIFPX19TFjxgyCg4MpLy8/JUNaZfr7+zGbzfT396NSqejr66OiooK4uDjWr1/vZzeg3PcKEx1FDJ2mfNtrT47ny3Oif/FOdJNKhZOP74wzgCVLljB58mRKS0ux2+04nU70ej1ut5vCwkLUavWw6TC9Xi+KrE80kiQJA0g4LI6+/vprrFYr11133ZDPnXLfK0xkFNPF05TTbUDqsTCamR2Mbm54pNcqKEwkfGecJScns2TJEmJjY5k5cyaRkZGcddZZZGdnExgYiNPpxGazDTug1eVyYTQaT/r+q1QqUUztcrlobm5WDBUVTiuUyNBpyne99uTbHhlT+G4x3Iwz3win2Wzm888/5+6776azsxOVSkVCQgI9PT20tbX5betEFVAPh1qtRqVSERAQQGJiovAbeuKJJ8jJyVE+lwqnDYoYOk2Z6KmgE43SlaXwbWKkz7NOpyMqKkoUVicmJqJSqVCpVCxduhSXy8Wf/vSnU1I7pNFoMBqNBAYGEhMTw+OPP45Op+OJJ55QHKYVTjsUMXQa813OwZ/KyNi3uXBd4dQx0ue5tbWVwsJCOjo6CAoK4o477mDq1KmcccYZ6HQ6cnJyWLJkCR6P56Ttq0qlIikpiSlTpqDVajn33HOZP38+gNI1pnBaooghhdOSUxUZU9JzCicbi8VCV1cX+/btw26389FHH2EymVi+fDkLFy7kH//4xwkXQiqVSngK6XQ6goODMRgMqNVqjEYjGo1G/O27HLFWOH1RCqgVTltORZH0d6FwXWFiIRsWxsTEYLfbcTgcdHZ28uyzz3LJJZfwwQcfiOnxcg3PeKLRaNBq//u72e1209/fT3t7OyUlJdjtdkpLS8VnQWleUDgdUcSQgsJRIKfnzGazkgZQGMJoHY5jfZ7v3xwOB3V1dWRkZJCUlERCQgImk4nAwEDcbje9vb14PB4kScJgMBAREUFISAharVZEa46X8PDwIY85nU66urro7u6mubmZuLg4LBbLkOMa6/lQUDjVqCQ59qkwIj09PYSEhNDd3U1wcPCp3h2FceRY6n+UmqHTnxNxDceaQh38vBUrVmC1WomKisLhcLBu3Tra2tqYMWMGX375JeXl5aSnp/PYY49hsVhYt24dn332GV1dXXR1deFyuURruyRJ9Pf3I0kSWq0Wr9eL1+s95mMKCAgQ2/PFZDKhUqlwu92YTCbOOecczj33XAC/ifVbtmxRUsoKp5Sxrt9KzZDCdwrfRRA4pvqf73Lh+reBE1X3NdYOR9/nFRYWsnHjRmpra0lLS+Pjjz/m66+/JjAwkPb2dvbu3YskSZSVlVFZWcm0adOora2lt7cXtVpNbGwsHo8Hp9NJT0+PX1eZPCbjWNBoNMIzaLAQUqvVJCUlcejQIQYGBuju7iYvLw+tVisEWHFxMWVlZRQXF9PT00NeXh6LFi0iKSnpmPZHQeFEo6TJFL4zyIvgPffcw6ZNm2hoaPBblIqKipRw/glkoqRMTlTd11hTqL7PS05Oprq6GpvNxhdffEF5eTkqlQqbzUZ7eztw2Nk5ICCAZ599lttvv52amho8Hg9GoxG1Wk16ejozZ84kJSVlyHsda+BfLsgeHFVSqVQEBQXR1tZGX18fgBgOGx8fz7x588TxZ2RkkJmZSV1dHdXV1WzdutXv2k+U+0FBAZTIkMJ3iMGL4KJFi5g5cyaFhYV0dXXx+OOPH7dR3HclhXa0x3ms0ZgTcT5PlC3DWDupfJ9nsVjYsmULhYWFOJ1Oke4yGAy0tbVhNptJTU0lJCREiHe5oLmjowOn00lvby8zZsygra1NDE49Uej1evr7++nu7haPhYWFMWPGDB566CFMJhMNDQ3iOJcsWcLu3bsZGBgQRdaxsbFKV6bChEMRQwrfGYZz+V25ciVFRUU8/vjjx20U9135gj+W4zwWk8wTdT5PRPu3r2gby73jm2r1vQezs7PZtWsXXV1deL1etFotsbGx9PX1UVBQgM1mQ6VSoVarRY2Qx+Ohr68Pr9eLRqM57jqh0ejv7x/y2IIFC3jyySex2WzodDpeffVVcc2WLVtGeno61dXVfsJTMU1VmGgoYkjhO8NIi2B2dva4GMUd64J/ohblEyXEjuU4jyUacyIXzPGs+xqPqJd8D27fvh1JktBoNLjdbiZNmoROp6O6ulrUA8l/V6vVeDwegoODxbZORj+M7IAtSRI6nY6qqioeeeQRqqqqmDZtGocOHcLhcFBYWMijjz5KdXU1ycnJrFixQpyX7/o4IYWJhyKGJgDd3d3k5uayYMECQkJCTvXufKsZbhEcr0jB0X7Bj3fk42RFpo5lITuWc3y6LJi+DtGFhYXHHPVauXIlCxcuZPXq1ZSVlaHRaDCbzTQ2NvqlpeBwN1d4eDgRERFYrVYqKirGLISONpUmR6IAEX2KjIwUw2IdDgevv/46TqeTgwcP8v3vf5/6+noSExOprq7G4XBQW1uL1WrFZDIBijmjwsRDEUOnmO7ubs466yzq6uqIj49n586diiA6BfiKpGONrhztF/x4Rz5OVurhWBeyo43GnC4LpuwQXVFRQUZGBhaL5Yivka+Vb6dVbGwsJpOJ559/nn379tHX18ef//xnBgYGkCQJp9PJwMAAbrcbl8tFXV0dVqsVt9s97AT7kTjamiJJkvB6vSISFBERgU6nw2AwCPNFu92OwWAgMjKSm2++GaPRKOqhRhKzSlemwkRCEUOnmNzcXOrq6nC73dTV1ZGbm8vll19+qndrWEYSCd+mouHjja7IX/AOh4OioiIyMjLEr+HBREVFkZaWRm5uLnPnzh1z5GOk8z3WSMp4XK+TtZBNxAVz8PmTHaKnT59OaGioXwRkJKKiosjMzGTr1q0AvPjii2g0GkpLS8nMzMTj8bBnzx76+voIDQ3liiuuwOPxUFBQwM6dO0WxdWdn58k4ZBF1crvdNDc3ExgYKPbBZrOJ51188cUkJiYChwWfr4fS6f7doPDtRhFDp5gFCxYQHx8vIkMLFiw41bs0LCOJhG9b0fB4RFccDgdLly6lrKyMjIwMXn755WEXR7fbTW5uLiUlJQCsWrXqiOfO93xnZmayZMkSMfpgLJGUiXi9ToaYHq/3GO78RUVFHXXN2eBOq/z8fOBwGmrXrl1UVlbS3d2NxWLBbDZTW1vLzJkzSUtL45tvvsHlcp3QrrHRkCTJTwDJqFQqLr30UhoaGti6daswX5wI95iCwpFQxNApJiQkhJ07d074mqGRRMK3rStkcHTFbDazZ8+eUSM8gykrK6OsrAyn0yn+f+7cucM+b9++fbjdbvbt2zfi83zxTa9s3bqV3bt3M3/+fL9f4KOd/+HSM6fSCG88xdlokcvxeo+R7vdjSefFxsYyf/58IWzhsHtzXFwc1dXVuFwuDhw4wP79+wkMDMThcCBJkhBCvsNTTzWy/9Abb7xBc3MztbW1xMfHfyu+ExS+GyhiaAIQEhIyYVNjMiOlYE6XItex4htdMZvN3HDDDUeM8AwmIyODjIwM8bqMjIwxP+9IEQz5fOfl5QGH6z98XYyPtNgPTs9s3bqV1atXn7Jf7uMlpkcTPEf7HqNdg5Hu96NN58nv4Sti3W43ZWVlJCUlUVBQQGVlJQ6HA5VKRX9/P/X19aJgGY7dUHE8UavVmEwmDAYDU6ZM4b333hP/1mq134rvBIXvBooYUhgTI6VgTpci16NBXtj27NlDWVmZ8B8qLi5m/vz5R3y9yWTi5ZdfFiJnJAE1+Hk6ne6IEQz5fC9atEikIny7dkZb7OUF+Ic//OGwRningvES06MJHt/3yMzMxO1243a7xbkdbkRLYWEhycnJrF271u/6jXS/H00abjjhBohi48TERAwGA2azGYfDgdfrRaVSsX///nEbvjoeaLVaIiMjSUtLo7a2lkOHDgl/o6uuuopbbrlFmV6vcNqgiCGFMTPSr9+JWOQ6HmRkZJCWlkZeXh4ajYbt27czZ86cMX25m0ymI6a8Bj/PdzyI74I+eKHV6XQkJSWxevVqPxfj4QSF/Frf52RmZjJv3jxR03E8v9yPtxbnZNgayO8h17KsW7fOT4T4CpNFixZRWFhIYWEhX331FR6PRyzqwLDGiqMNXpXr6nyPb6RxIPJj1dXVZGRkcODAAXp7e+nr68Pj8eBwONBoNCI9Jvv9nCiDxdEwGo2EhIRw1VVX8cUXXwjXaZPJxJIlS/jNb34z5rSygsJEQBFDCgojYDKZePzxx7njjjvQarWUl5ef0CjKcAv64IV22bJl7Nu3j/DwcJKSkvxcjIeLVsiv9Y0elZaWsn79enQ63XEJkPGqxRmLmB5LJ+NookoWkaWlpSOKEHlES3JyMl999RVGo5H333+f/fv3M2/ePIBhi4JHGrwqC6PNmzeze/du5s2bx+rVq0cUbr7RqyuvvJL+/n6effZZMQMMIDAwELPZTHd3txBBLpfrpM33CgkJwWw2o9VqSUlJ4aqrruLTTz8Vs8yioqK4/fbbFSGkcNqhiCEFhVFITEzkwgsvHCJQTkRacLgoiW+0KD8/n0WLFlFQUIDRaGT58uXccMMNREVFDdu+7LtIV1dXk5CQwP79+8nMzByX9MXJKp7v7u5m3bp1tLW1MXv27BE7GVesWDHqdo4kQuQRLWvXrgUOC5/a2loGBgbYvXs3gJjIPjgNl5mZye7du0lISPBLWRYXF7N161ZaWlqoqKjgmmuuITU11e86y+dSFrrbt2/n/vvvZ//+/ajValEb5PV66erqoru7+5TVCwUFBXHmmWfS1NREc3Mzv/zlL7HZbAQGBqJSqbj66quVyfQKpyUTWgyVlJTw8MMP8+WXX9LS0kJ4eDgXX3wx999/P6mpqSO+7plnnuHmm28e8e8PP/yw+MI7WXybvHiOl2MZ8nk85+54HL4HCxTghLamD46S+C604eHhfPHFF9jtdpxOJy+88AIFBQW4XC5CQ0OHDJkdXCsj/3ofL05G8bzD4WDRokXs2rWLwMBAgGE7GcdSRD6c2HS73SxatEiYHsoRpPvuu8+vRdy322u0YzWbzWRlZYnnhYeHi1Z0h8PBM888wwMPPCCicvJ7lJSU0NHRQV9fH11dXcTHx6PVagkKCqKjo8MvFXYqC6dbWlqora2lsrKS/v5+DAYDcXFxZGdnM2vWLH7zm98MOe/Kd5/C6cCEFUNff/01F198MXFxcWzYsIGEhATy8/N54IEHeOeddygoKBDmXiPx5JNPMmfOnCGPx8XFnajdHpaJ6O1yqjjac3G85248HL59BcpIdT3jwZEWjaCgINRqNV6vF7VajU6nw263U1lZSWpq6pBWed/F3+12s27dOrxe77gVTZ+M4vmysjKqqqoAsNlsREZGDtvJONYi8sFO44MjS3IXoZyKvO2227BarVgsFpFWGxxVa21tpbS0FK/XS3l5uV8KEuD73/8+zz33HAEBAdTU1IjztWnTJvLy8jh48CAmk4k9e/YAoNFoCAsLY+HChXz66ac0Njbi9XrHXcweC263m9raWjweD1rt4eXjnHPOYc2aNSQlJQ0rhJTvPoXTgQkrhlavXs3AwACffPIJMTExAJx33nkEBQWxbNky/vrXv7Jhw4ZRtzF9+vQxFbGeaCaaF8+p/KV2tOfieM/dcA7fl1566TEf/4mKhoxkptja2kpRURGHDh3i3XffxePxiPEIDoeDkJAQkpKSaG1tpa2tjaeeesqveFVe/N1u9wnZb9/tNzQ0jPvA2aSkJIxGI5IkER0dzb333uvXybhixQrKyspITU3l6aefHrZjbKT7fbjIUlVVFfn5+bS2tmI0GvnFL37BqlWr/ArU5cJrmcH3xGCxdNddd/H1119TVVVFT0+PEFbFxcW4XC5aWloYGBgQ/wEUFBSQkJBAQUEBTqdzQrTRA+j1ekwmk5her9Fo2LVrF9u2beO6664bUmg+0b77FBRGYsKKoWXLlqFSqYQQkjn77LMBqKurOxW7dUxMJC+eU/1L7WjPxfGeu8EO32ecccaonT9HYqzRkKMVnMOZKc6ePZu5c+eya9cuER2R0Wq1uFwu1Go1QUFBYmL5Sy+9hEaj4b777vN732ON4ozlOE7kwNnExESys7OZPHky0dHRYhGWxZev07Ec2fHtGFu2bJmYnD5aGlGOLDU0NFBbW4vX66Wvr0+I58ELurzQy8Jm4cKFfqk232OprKwU5y80NFREmOT056RJk7BYLOzcuVOIIZvNxuuvv47NZpswQggOd5F1dXVhs9lEy//AwAAvvPAC+fn5QwrNV6xYMWG++xQURmPCiqGRan72798PHC56PF2YSF48p/qX2tGei5HqPMb6+sEO3/Jxj1Zn4nA4hngEDX7sSKZ9YxUHclonODhYLI4AfX19PPHEE7jdbjo6OoZ9rd1uJy8vD7PZDEBvby/BwcFUV1cPe11H69oa7LUzXMv+SMdxIgfOVldXk5qail6vH9Jhl5eXR3V1NfHx8eTn5/PZZ5+RmpoqOsYKCwtZt24db731lriOvvvme29ZLBY2b95MaWmpuMeCgoKYPn06gYGBZGZmigXeYrEILyKr1UpTUxMqlYolS5awevVqcT5ramp45plnOHjwIG1tbURGRpKQkMCLL75IWVkZCQkJ3HvvvWzdupXy8nJSUlKora2lt7cXSZL8CqX1ej0ul+uYz+l4odFohBCC/w5xBYYtNLdarRPmu09BYTQmrBgaTG9vLx9++CHLly9n7ty5LF++/Iiv2bZtG3fddRclJSWo1Wqys7NZtWoVS5cuHfV1/f394hcoQE9Pz3Hv/0Tx4pkIUaqjPRej1XmsXLlSOPeOZHDo6/BtMplGrTOxWCxD5ooBw84aGyzK5GhFc3MzhYWFR6xfcTgcLFmyhJ07dxIQEMCVV17J/fffz3vvvceOHTtwOBz09vYOqRXR6XQEBATg9XrR6/ViO2q1mkOHDpGTk3NU13Vwig44KjPH8b6nBm9vcPROrtvync0lDzBNS0tj5syZNDQ0kJycTFVVFSaTCYfDQXJy8rDdgPIxybPCJk+eTHl5ORqNhpdffpnPPvuMxYsXixRda2srhYWFNDQ0UFVVxcDAAFqtlt27d4vtPvLIIzz77LM0Nzej1+sxGo24XC76+vo4dOgQLpeL3Nxcdu3axaRJk0hNTcVut9Pe3o5WqyUuLk7MrFOr1aSlpVFcXHxc53U88Hg8fm38Op2O6667juTkZMrLy8X9U1JSQmJiIhaLZcJ89ykojMZpIYZUKhVw+FfJrbfeysMPP0xQUNARX7dnzx5Wr15NcnIyBw4cYOPGjfzoRz+irq6OX/7ylyO+7uGHH2b9+vXjtv8TiYkUpToWBkchampquPPOO8c8MmNwNGCwWWFRUdGQuWLAkMeys7OHpNs2b97M1q1bRX1LUFCQGLQ5XDSrrKyMkpISHA4HXV1d/Otf/+LAgQO8+uqrXHPNNdx8883C8NFisRAYGIjb7cZmsxEQEIBGoyEjI4OsrCzWrl0rFuqjva6+59T3l311dTXJyckicjaSyBnve2q47cnis6GhAYvFIsTSkiVLSE1N5Y477sDlcrFr1y4A5s6dy5o1a3j66adRq9UkJCRw44034na7h63/kd9r3rx5PP/881itVjwej6jR2rNnD06nk9raWtLS0ujs7KSmpgaj0YhOp0Ov1zN79mwREXrxxRepqanB4/HQ39+P2Wymvr6egIAAnE4ndrudgIAA9u/fj1arpa+vj/r6eiF+q6qqRFTIdwTHqcblcgkXbLPZzE9+8hNRuyl/BgE2btxIdXU1W7ZsUYqmFU4LTgsxVFBQgMPhID8/n0cffZQPPviAN954gxkzZgz7/KVLl/L973+fyMhI8cGdP38+V1xxBRkZGdx///0sX75cpBcGc/fdd3PnnXeKf/f09BAfHz/+B3aKOJ1/qQ2OGnR0dIw6FHU4EeJ7/IMX3ZHmig1+bLAoKysrY/fu3bS0tOB2u5k8eTL19fXs2rWLAwcOsGDBAsrLy/0W4JCQEDIzM+nq6hKLzMGDB6msrGTu3Lm88MIL5OTk0NPTg1qt5pNPPqGoqIgnn3ySiooKMjIy+OMf/0hiYqI4tmO5rhaLRUSBsrKy8Hg85Ofnk5WVJbqpxmPa+9GIJbkbayRLAzlaZLFYePzxx4VDs9lsRqfTUVtbi81m83Oe/u1vfzsk2tXQ0MCrr74qtnvNNdewa9cuBgYGaG5uJjAwkMmTJ5OWliZel5+fT0BAAFOnTqWxsZHY2FiysrKwWq2sWbOG1NRUNBoNkiQhSRIRERFMmTIFjUZDa2srAQEBTJo0idbWVrxeL21tbWRlZVFSUoLL5UKlUvkZLXo8Hg4cOHDM53486e/vJzAwkMjISFJTU0VNp6/AXLRoEbW1tUeMKCooTCROCzGUk5MDHC6evvbaa5k6dSrLly/nyy+/HPb5RqMRo9E45PHQ0FC+//3v889//pPS0lLOPPPMYV9vMBgwGAzjtv8K48fgqIHb7SYjI4PS0lKmTJni5z81ltqdwcJwpLligx/T6XR+oiwjI4Ps7Gw+/PBD+vr6KC0tFZEFOd2h0+nIy8tj4cKFvPnmmxQXF3PmmWcSFBTERx99hCRJpKenk5qaSkNDA42NjQQHBwOH7+k///nPNDQ00N7eTnJyMmFhYSIyMRrD1QP5pva2bNkiokC33norf/3rX4HDUQD5+I7H/uBYCqzl18gzwm688UY/8Wm1WomNjaWhoYGysjJCQkLwer1MmzaN4OBgEcka7Dw9ONoFQx2ozz77bEwmEwkJCdxwww0YjUaioqL8xpl4PB5efPFFmpqaAKivrxcjKaqrqzn77LPp6OhAr9fT29vL3r17mT59OomJiXi9Xqqqqujq6sJisZCQkIDX66WxsXHYuqCJVECtVquJiooiJCQEo9FIaWkpZWVlfnV4CxYs8KuxUoqmFU4HJqQY6unp4fXXXyc6Oprvfe97fn+bNGkScXFxfPPNN6NuQzYEG4zdbgcYViyNJyeyff1kt8ZPNNM0XwGj0+l47rnnhEPx008/LRbbYy3sHW6u2ODHhkvlXHDBBfzlL39Br9fT3d2NRqPB6/WSnJzM7Nmzeffdd4HDpqA1NTV0dHSwZ88eDh48iMfjITQ0lNtuu42//vWvlJaWkpqaislkor29Ha/XS0NDAy6Xi9bWVjo6OkQabjR8hUhaWho2m03UFcn7X1xcjMPhEGZ6paWluFwunnzySZ566ilmzpw5avrxSOf5WK6DXJfjOyMsMzPTrxYFDkcK5fEZ4eHhxMTE8Itf/ILJkyeLbY1WgwSHmzEKCwtJTEwccazHYHPGhoYG9uzZg9frpbe3F5PJhCRJuN1u+vr6uPXWWwkNDeXVV1/FarWi0+morKzk0ksvpaenB71ej8Viwel0kpiYyL59+/xqoNRqNcHBwXi93nGpWRwPVCoV2dnZPPnkk3z66adC7GRkZIhz2NXVxRNPPEFWVhbr169XBrUqnDaoT/UODIfBYOAXv/gFy5cvx+l0+v2toaGBgwcPkpycPOLrFyxYwKRJk+js7PR7vLW1lY8//pjo6GhR6HcikBege+65h02bNo3r3KDx2rZcf3Gk18vvt3btWh566KEJU7vgi81mw2q10tfX5zdzSl4EzWbzMf9CHe08yaJMjrB89tlnYkF0u91otVr6+/upra3l008/JTY2lvj4eGpqamhoaCA/P5/6+nr6+/txu9309vbyxz/+ka1bt9LT00NRURFTp07FYDDQ2dlJYWEharWaSZMmkZ6eTmhoKFarddT9923Zf+GFF3jmmWcoKCggPz+foqIiUX8jnyN5YfN4PDidTlGcLtdODceRzvNwfx/uvPo+Josch8OByWTi0KFDXHPNNSQnJ4taFNlHaO3atVx//fXk5OSQnZ3Njh07WLduHY899hg1NTXA4XTo+vXrWbRokd91k72KfLcL/saK8mdg3bp1vPrqq+LvZ555JqmpqfzgBz/gRz/6EVOmTCE4OJiAgADeeecdLr30UtRqNSqVCqfTSVdXF4WFhaSmprJ48WJmzZrF9ddfz7333kt6erpfobzBYODss88eMZV/KpAkibCwMD7//HNuu+02NmzYwMqVKzGZTKxcuZJVq1YRGhrqV3umCCGF04UJGRkyGAw88MAD/OpXv+Liiy9m9erVREdHU1VVxcaNG3G73TzwwAMA/Pvf/+anP/0pmzZt4uc//zkA99xzD1dffTXnn38+d911l+gq2bBhA93d3bz88suiluhEcCLb149l28N1PY01bTH4FzowxMPmVDNSN9PxFvYezXmqra3llVdeQaPRiIhQT08PLpdLLIKzZ88mMTGRyZMn89Zbbw3xkJGHYPb09KDVapk3bx719fVs374dtVrNwMAAN998M+Xl5WNOQcjn5quvvsJqtYpRHpMmTeLxxx8nJydnSLfWypUrWbhwIatXr2bfvn1+tVODz8+RhqTKz/Gt8RnsDzTc9PiVK1eKkTlVVVXix89wtSgmk4n77rvPz2nb169p/vz5rFixwq82yPdaWq1Wqqur6ejooLCw0O8z5Xa7KSoqIj8/H6vVKrrI4HAa8eDBgxw6dIjFixezadMmHn30Uex2O9u2bePzzz+noaFBuIXLozUqKyv51a9+xXXXXYfZbGb9+vUUFRWJ4mpZiMqRxIlEcXExkZGRtLa2DvGxys7OJisri61btwKwdetWVq9ePaG+KxQURmJCiiGAX/7yl6SkpLB582Z+9rOfYbfbiYmJYcaMGWzevJmLL74YQNjU+87u+cEPfsCOHTvYuHEjd9xxB93d3VgsFs4++2yeeeYZzjrrrBO67yeyff1otj2cMZ1vamQsgso3DWEymUb0sDmVjCZ6RioWH0vqb6TzNJy4/Oc//0l9fT1utxuVSoXBYMDj8RAcHEx/fz9BQUHExsayatUqDh06xKZNm4bUgkybNo2QkBDOOecc4UAt+xsdPHiQzMxMLrnkEi677LKj9mlasGABv/jFL1Cr1QQGBhIcHCxEhVx/4/ua1NRUtm7dOqJlwXBCcfB5Hm7cxZYtW/z8gXwjeb51J0VFRWRnZ7N27VrRmfT666+PWIsy2Gk7Ly8POOx9Ixe4yxGywWNLLBYLXV1dlJeXM2XKFBGNkfc/Pz+fgoIC+vr6SE9P58UXX2TPnj2UlZVhs9lQq9Xk5+dz7bXXMjAwQEVFBR6PB4vFglarFZ1/wcHBwr35iSeeYMqUKbz22muijV9+rsPhmFB1Qr50d3fT3NwsvJKSk5NZu3atqKOT7QkGBgbGbeyLgsLJYMKKIYBrrrmGa665ZtTn3HTTTdx0001DHj/rrLP4z3/+c4L2bHROZPv60TggDzam83XPHaugktMQgHDxjYqKGtaY8EQzmoAZa4fcSAJxuPM43HkaboJ6Q0MD5eXlTJ48WUQCXC4XERERzJkzh7CwMJxOJ7NnzyY7O5vU1FRSUlI4ePCgn59VWVkZ8+fP55prrhFpGpPJxJNPPkl7ezszZ84U59o3cnGke0Gn0zFnzhwWL15Mbm4u8+fPR6/XDysqfLc3XO2UTENDA3l5eUJs+Loyy/syXMddcXGxSCOq1eoh0+PluhM5auXbmVRaWnpEywv587Fo0SK/a5yRkUFmZqZf1ELulHO73QQHB2MwGDh48CCPPvqoiDQVFxfT0dGBzWZjypQpBAQEsGfPHioqKmhpaRH33bx589BqtYSGhpKenk5bWxshISHiXMs1jPHx8XR0dNDd3c0jjzwi0s4DAwPodDouu+wyPvzwQ7q7u0c9zlNFZGQkDoeDnTt3Ul1dTW5uLj09PaK9vrm5mdmzZ4vOSaV4WuF0YUKLodOZE9m+PpZty1/kclGmVqv167A5GrHmm4aQ6z2GMyEcbwZ3QR3vyIfRBOJIQz0Hd64NnqDe0NDAv/71L4qLi9FqtaJ7qL+/H6fTyb59+/jiiy/o7+8X51p2xf7888955ZVXeOmll0Rr+FtvvUV1dbVI7fi2LM+ZM8dPhOp0uqM6JxqNBqPRiF6vH7ZlfixpQVlMvvjii1RXVwOHzQplV2bf1w4Wk76CRKvVkpaWxrJly/xSbUVFRTz++OMiarVo0SIyMzPZtWsXcXFxWCwWMYNstA7BpKQkVq9eLVJag6MWJSUlwn08MzOTpKQk8vLyCAwMFGM5ANLS0ti7d69Ie86fPx84bPch+wstWLCA2267DZ1OR05ODsXFxVx00UVcc801qFQq2tvbeeKJJ3A4HLS0tADQ1tbm1z4Ph7tdu7q6UKv/W8opRxkHP/dU0dTURFNTk0jp9vX18eabbxIQEMDevXvZt28f6enpPPbYY8MOblVQmKgoYuhbiu9CtGTJEpF2Gc5rZyz4Pn84Y8IjefscLYMX5kWLFo2Y2hvr+40mEMd63AcPHkSlUmGz2TAajXR0dPCnP/0Ju90uUmO+0R673U5NTc2QCEtISAgLFy7k7LPPJi8vj9raWjQaDQEBAUNSO/Ix19bWsnr1aiGG/vSnP4053dna+t/J6qWlpSI15jtg9Ujp08FiMjo6GkmSuOaaa7BarcOmuQaLbl9BcujQIR599FG/cSjZ2dlCUMjXxuPxUFlZKYqhDx06NKqHjXw/WCwWvzqhZcuWkZ6eTlVVFRaLRVgelJaWcu+996LRaKiqqiIuLo4nn3yShoYGEhISSEpKIiYmhtraWioqKkhNTeW8887j888/F2aKxcXFzJkzR0QKBwYGeO211ygtLSUzM5OsrCwKCgr4+OOP6ezsJCAggJCQEFEAHxQUhEajobq62i8qJEnShBFCer1euG07nU4WLFhASUkJgYGBFBcXU1paitvtZt++fXR3dytCSOG0QhFDE5CjERMjPfdEpupSU1NJTk7m4MGDQ4prx2to5+CFedGiRcOm9o7m/Y4kEIfD9/wmJSURGxuLx+NBr9djt9t54okn6OvrQ5IkMThVZmBggPT09GGLj2X6+/s544wziI6OJiAggNmzZ9PU1OTX2SUfW11dHQUFBXg8HsrKyqivryc4OJienh4yMzNHFXXDpfyGq+kZLX3qKyYlSaK2tha9Xs+2bdtYvHgxaWlp7NmzB6vVKtJcg2uJYmNjmT9/PoWFhYSHh1NVVeXXBRgbG+s3ib6srIy8vDxaWlpQq9WUlZWRlZXl54otR8uSkpI4cOAA27dvp6ysjPDwcFpaWuju7haGrVVVVTQ3N1NWVibmhZ177rlERUWxdu1aHnzwQV599VWam5uJi4vD6/WKOiVJkti/fz87duxg8uTJTJ48me7ubnbv3s2KFSs499xzufvuu/nHP/5BaWkptbW1xMfHi/SexWLh5ZdfRpIkHA4HBoOByMhIvF4vBoOBuLg4KioqJmS9kFarJSIiAofDgcvlIjExkSeffFJ4VGVkZKBWq0ctuFdQmMgoYugUMJrYOZrF/UjPPRGpOrfbzdNPP82kSZOYMWMG69ev90uRjVcn3eDFOzY2dlhxdzTvp9PpWLZsmRjaGhIScsRj3bRpEzt37qSrq0t4/UyePJm4uDhaWlqwWCzExMSIxdr3V7xOp2Pu3Lmj2hdYLBaSkpIoLy/H4XAQEhLC8uXLhUiTj9lsNnPdddcJu4iZM2fy+9//nt27d6PX65kzZ86oxzKcOJZnfPkaGY4moH2vyfe//33Ky8sZGBjg1VdfFeMq+vr66OrqQqfTCYdn2U3at5V948aNVFZW0t7eLrYrC7QtW7aIIagqlYpdu3bR0dGBWq3G6XSyZs0abDabEEKLFi3iwIEDOJ1ODAYDXq+XkJAQnE4nGo2GgYEB4uLicLlcNDY2cujQITFxXXagrqys5Kc//SlvvvkmVVVVYhzJeeedx+LFi3G5XOzfv5/GxkYkSaK+vh5AbKejo4P9+/fz1ltvoVKpMBqNeL1evF6v8EUKCQlBrVaLFvqenh48Hg8mkwmPx0NTU5MQ1qOh1Wr9PIlOBgMDA8TExDBp0iSioqL43e9+h9frZe3atSLdumrVqpNeR6igMF4oYugkcyQBczSL+3DPHVzEOt7I79nX14fVasVms/mJivHqpBspsjX4XAx+P7l1e7jjdzgc3HDDDWOqdXI4HHz22Wd88cUXvPnmm2KBslgseDwe2traaG1tJTAwkHPPPRe3201BQYHwPNLpdEiSxOOPP87rr7/OJ598QkNDg99CIS/85eXluN1uMexSFg3yeYiNjWX79u3k5+djMpkwGAwsXryY3/72tzgcDvr6+vjqq68oKioiIyNjxPEZg8XxcNdqNAHte03kuW5y11Z3dzfffPON6JxKTk4mLS2Np556ys/kEQ4XildVVbF3717sdjuJiYksW7bMT6C1tbWxe/du1Go1XV1daDQa1Go1arUam80mUnzr1q1j165deDweXC4XoaGhuN1uvF6vmGem1Wqpq6ujvLwcp9OJyWQiNjaWvr4+amtrkSSJjz/+mG+++Qa73S6utdfrZfv27Xz11VfodDoSEhLEtuXaH41GI5zGNRoNzc3NREREiAGtLpcLr9fLddddJwqsOzs7xbR32YZBFm9qtZqwsDCsVuuIouhkCyGZ+vp6mpubCQ0N5fHHHxcRTPk7TG6vl9vulTSZwumEIoZOMkcSO0cjJoYTAuORohqNI+3feKbnxhLZGm6BHun45fqmkWqdfNMtN998M6WlpfT09PgtSl1dXUiSJMYR2O12mpqaiI+PR6fT0d3djVarJSEhgcbGRlEbc/XVV9Pe3u4nwmQPJ7vdLopxB59Th8PBrl27uPXWW8UCPH36dK644greeOMN8vLyhPB67LHH6OnpITQ0VIiP0c7/4HM3lmvme01WrFjBggUL+Pjjj3n55Zfp6+vD4/GQkpLC6tWree+993jppZeE+JOjMLKXj91ux+Fw8Omnn/KHP/yBW265xc8XSY6uqNVqJElCp9Nx5pln+o0VaWtrIzAwkI6ODjQaDQ6Hg9DQUIxGIx6PB51O51fnYjQaCQgI4L777iM4OJgbbriB7u5uvF4vkiSh0WhEbYx8PeWi9/3799Pf3090dDRwOLITHR3NhRdeSEFBAUVFRWLoriRJaLVa6uvr6enpwW63ExQUJLrK5AhiWFgYl112GU6nk6KiIvr6+ggNDUWj0dDW1jbqvX+ykYfI9vb28s477xAbG+vnyzReKXIFhVOBIoZOMuMpJgY/90SaPR5p/wan/o73fY+mbkp+v8Fpn8HHP9wQ1sECqKysjJiYGOrr63E4HEN+hZtMJgIDA8U4CLVaTWNjIyaTieTkZBobG4HDImbSpEm0t7cTERFBa2sr/f39fiJM9reprKwkPT2dDRs2+HXgOBwOli5dyp49e4QXj0qlwmKx0N/fzwsvvMC9995LZWUlra2tSJJEZWUl06dPH/P1l1NYxzI7TBaecXFxTJkyhdbWVmw2G2FhYUyePJlDhw5hMplwOBzCNFEe/REVFUVMTAwfffQRAQEBvP/+++zfv1900S1atIh//OMf/Pvf/8ZkMqFWqzGZTH6zu6Kiopg9ezYOh4OKigqioqKorKwkJSWF+vp6kpOTmTRpEpMmTaKpqYn8/Hw6Ojrwer2UlZWh0WiIiYkhODgYj8eD2+1mYGBAXPOBgQFsNhvBwcEEBQVRVlaGJEnU1dVhNpvRaDScddZZrFu3jpKSEu69914qKirE/qlUKvR6vYj+2O12UW+l1WoxGo3MmjWLm2++mUceeQS32014eDhpaWl0dXXR1dU1ru71x4ss4iwWC52dnfT09KDT6cRn4WR8/ygonCgUMXSSGYvYORox4fvcE2n2ONr+ORwOYYw3lojEaByND9BgjnT88hDWr7/+ms7OTrq7u/nZz35GWVkZsbGx1NXV4XQ6qaurEx1jWq2WuXPnillisoOzSqUiOjqa+Ph4rFYrYWFhhIeHs2/fPqxWK2q1mhtvvJG5c+cyb9488T6+xaVWq5XQ0FCmT59OUFAQlZWVfgXdZWVllJaWMjAwgEqlEsZ8TqeTp556iptuuomenh6MRiMqlYrAwEAyMjIIDQ09qut/tIuY7MpcWFiIw+Hg0KFDJCcnU1JSIoSQVqslKysLh8NBWloaa9euRafTCS+h2NhYCgoKcDqdeL1eYmJiGBgYoLCwUBRP5+bm0traKorSo6KiOHTokN/+LVq0iMsvv5x//etflJaWkpyczOTJkzEYDEIsLVu2jEcffZS+vj4qKytJTk4mLy8PjUaD2Wymv7+fxMRE2traaGtrEzU9spmryWSio6PDL0LocDgICgqioaGBe++9l0OHDomaH5PJxLJly2hqauLzzz9Hq9ViMplobm4mODiYkJAQUSuk0Wj485//TFNTEwkJCRw6dAi3201HR8eEEkJw+HMvR7dUKhVpaWl+I2Hq6upIS0tTPIYUTksUMXQUOBwOMUX8eDgasXO0EZIT1UE22v5t3LiR559/XqRDjvUX4dH6AA1GPn7ZI2ak9/j5z39ObW0tkZGRonX50KFDqNVq7HY7wcHBZGdn09TUJFqGVSqVXy2JzWajra2NgIAAUUuRnZ3NVVddxcGDBzEYDNTW1nLrrbcSHR09ZOo9HF7cc3JyyM/PJz8/nx07dpCdnc22bdswmUykpqYSEBBAQ0MDJpOJiy++GLfbTW1tLS+99BKA6HSSu+OioqJGrBkaiaN1NX/sscfYtWsX/f39WCwWcnJyWLZsGUajkaKiImbMmCG2oVarCQkJGVI8vWfPHvbs2UNAQAB6vZ5zzjkHq9UqDBfDw8Oprq4WxcLTpk1j+vTpJCcnYzabqampYevWrZSUlNDR0UFtbS21tbVotVpaWlqYPXs2KSkpYgxIbW0tarUao9HIoUOH8Hg8IlUnSZKYbWc0GkVdECAKm1Uqld95MBqNxMbG0tXVxeeff47b7UaSJIKCgggODmb+/Pn89Kc/pa2tDbPZLM6HXDQtb08WQXBYrKenpxMQEDDhhBBATEwMXq+X1tZWVCoVZrOZnJwczGaz8B1TPIYUTlcUMXQU3HTTTbz22msn1XF506ZNFBYW+tnej8aJNHscjtbWVqqrq/3SIcf6i/BYfICGY7gZVL5jLaqqqhgYGKCxsVF0JIWEhJCVlSVaqqdPny4KWuWojFyQC4fnUmm1WmJiYtBoNBw8eBCr1YpWq2XOnDns37/fr919JDfnuXPn8sknn1BZWYnX68VqtZKbmyu6j6ZPn05nZyc6nQ61Ws3UqVPZt2+fGF760EMP+XVrye81mCO5d49VRMtRu9bWViIjI7n33nuZM2cObrfbTzhee+21Iqq1e/duIVSam5uprq5Gp9NhNBrRaDTMnDmThx56iMrKSh5//HFsNhs2m43k5GRRKzRt2jQ6OzuprKzkhhtuQK/XU1tbS1hYGLt378bhcIhi6cbGRuLj4wkICBDCUBZ73/ve94SxZV9fn+g+GxgYwOVyERQUxKRJk3C5XNhsNgICAgAICAgQYkoucs7JyWHXrl2irkytVqPVamltbeXvf/87zc3NwOHi8t7eXiGwZB+qrq4uwsPDSUpKIjo6Gr1ez9SpUznrrLO47bbbjuqeH0/UarXfeCM4fI8EBgaKTsGIiAh+9atfMWfOHD/fMcVjSOF0RRFDR0FFRcWQotsTyUQdkuq7sMrRDUAItqPZv8HbOhofoOEWeN+Uj2z+l5qayg033EBpaSlRUVHCHNFgMJCTkyNqWNrb22lqahJTuCsqKjjvvPNEEe8777xDU1MT7777Lm1tbQQFBREREcH+/ftFh9n5558vBm36TiGH/xZoy2myX/7yl2JKuozL5eL++++ntbWV9PR05s2bR1VVlWjTv/rqqwkICKCyspKsrKwj+iTJ50muCcrMzGTJkiWYzWa+/vprYTHgK6KHm73m6wQuSZI4tsmTJ6PT6SgqKhJdceXl5bS3twu3aUmSWLlypSgAnzRpEkajkeXLl3PJJZeIMSODB31effXVrFq1ihdffJGWlhZqampwOBw0NTUxbdo04LBgDgwMFDMK5YhNdHT0sI7r3d3d/POf/xQFzAMDAyQkJNDb24vL5RKGhyaTSXjryKnJKVOmsHz5ctGK/8477/jNEZPnvsn+Sb4MFhfw3zTc5ZdfzqeffkpxcTGffPIJmzZt8jPuPNkMt68qlYqWlhYSExOJj4/n3HPPZebMmbS2tpKamjqkFk9B4XRDEUNHwfTp08f1g36kFFhU1KkbkjrSvg3XMXKsqbmj2dZwC/RwUTNZUPnOuAoPD6egoIC2tjaamprIyspCp9Nx8cUXYzabKS0tJTExUUQHKisr2bRpE6GhoWJh8Hq9fPjhh/zqV7+ioKCAAwcOcODAAaqrq1GpVMyePRudTkdaWhoPPvggjY2N1NTUsHjxYlJTU0UxtFzXMmvWLP7xj38MOSfBwcHCwbisrIwpU6aQmppKamoqABs2bMBqtWIwGMZ87eQ5Yi6Xi61bt/Lll1+yc+dOnE4nCQkJ7Ny5U9gjjDRc1dfFOTo6mvb2dqKjo4VASk1NZcqUKVRVVQmzyMmTJ7N79256e3tFlEij0QjTPo1GQ0hICPn5+UyePJnExEQ/h+rKykqWLl2KzWajpqYGu91OQ0MDRqMRo9HI1VdfzQUXXMCnn37KK6+8gsfj4YwzzuDhhx8eIiZksed0OgkKChIF5yEhITz44IPcc889OBwOMVRX9ijq7+8nLS2N5uZmSktLWbt2LdOmTcNmswGHxZgcLRwYGCA6Opr09HRSUlKoqKjA6XSO+hmwWq288MILuFwuDh06JLY7kdBoNAC0tLRgt9vJzs4GYPPmzZSUlJCQkMCGDRuw2+1+8/MUFE4nFDF0FDzzzDPj9kEfSxuqTjf8kNQTzWj7NlKx7bEItCNty3esgu+CLDsU5+fnU1xc7DcsUo7q+M64stvtwiwPDkdokpKSMJvNYkaXPDS0vb0dvV5PRUUFt99+O0ajUaTLtm3bxvPPPy/8Y+TWa4vFgkqloq2tjS1btlBSUoLH46Gjo4OnnnqK3/3ud6IYur29XUQ5tFqt36JtNBq58cYbqaqqYt++fUyZMoWOjg4AEWmw2+1UVFQwffr0YaeCDxaJK1eu5KmnnuLgwYMijVRUVER7ezsajYZDhw6Rm5vL5ZdfPuw1GTwSpLKyEovFQmZmJhaLRXgqPf3000RFRZGZmSmMOH3dprVaLU1NTbjdbnQ6HVqtlldeeYXHH3+cnp4ewsLC+MUvfsGqVavEa2SBqtfrSUhIoLa2lsTERHp6eujv7ycvL499+/YRFhYmhNgXX3zB5s2bCQkJGVKA73A4+Otf/yp8flQqFQEBASQnJ4vUkNlsZv78+dhsNiG8YmNj+eKLL+jt7cVut5Oens5VV11Fbm4uNpuNAwcOCNHc1dXFihUrOPPMM1m2bBk/+clPyMvLE5EorVaLVqsV//Z4POTm5oro00RDPkcqlQq3243D4cDr9ZKfn4/X66WiooJ3332Xt99+m+uvv/6I5p8KChMVRQwdBeP5i2esHTyDh6SOR4rsSBPnR9u38exY891WZmammGbuG/kpLi4mMTGR6upqHA4HhYWFbNy4kaqqKurq6rDZbDidTl5//XUCAwN54IEHAIiIiCArK4vS0lLh+yLT1dWFVqtl9+7dtLa2kpSUxJtvvonD4RAmel6vlw0bNhAZGYlGo8HtdmO32+nu7iY0NBRJkggLC8NoNJKTk8Pu3bs5cOAAbrfbrxtJ9mHJyMggJSVF+OL09fWJNIzRaGTatGmceeaZ3HXXXbS2ttLR0UF6eroYSpqZmQlASUnJiB1jcpeXr0j87LPPqK+vFwXZ8fHxvPXWW+j1ejweDzExMSxYsGDYazJz5kxSU1PF+ZdHhAyeHTaSEedwPkZut5vXX3+d3bt309fXR3d3Ny6Xi87OTnJzc7nuuuu46qqr6OzspKqqil/+8pei9iYtLU2IR6/XS3l5uXB0jouLw263o1ar2bNnDyaTCafTyVdffcVVV12FVqvlySef5KmnnqKnpwc4PGsrNDSUNWvWUFtbK87hgQMHRGt7QEAA/f39mEwmUffjdrtZsWIFt99+OwMDA9x6663s3LkTr9dLV1cX7733HmeeeSYRERHMmzeP+vp6Ojs7GRgYwGQyERoaSk9PD62trQwMDIj7fqIh18qFhYURFhaGx+MhPj6e8PBwsrKysFqt5OXl4fF4sFqt4vOktNMrnI4oYugY6e7uHvNYh+E4GlFxtEXRo6Xf5HTNaC7Mo+3bsRj1DX5/XyEmd39t3bqVdevWiV/yvoKsurqa5ORkERmoqqoSf4uIiBDzrd58801uuOEG3n33XSEg1q9fj8fj4eOPP8bhcKBWq0lNTRXt8y+++CLXXnstBQUFIuURHBxMR0cHBQUFGAwGtFotHo9HiCqPx8PMmTO5+eabeeqpp3j++edxuVx+HWe+18JisWAymdi2bRvr1q2jtraWQ4cOERERgdls5re//S3d3d0EBwfz17/+VUQ05MGf8jmWi5Rlw0e5XkjuMPvnP/9JTU2N6JLS6/XU19djMBhwOp1kZWWxZs0aQkNDqaioICgoiI0bN/rdv8OZWMrnf8WKFX7XbPD9IkdzZN8Z2SZB3m5SUhKAmCb/r3/9i0ceeYT+/n60Wi1nnHEGL774Irm5uTQ1NREZGUllZSWpqanodDoaGxvFaBK9Xo9araa5uRmz2cykSZOoq6ujrq6OtrY2Jk+eTEdHB0ajkZUrV2I0Gtm3b5+o8VGpVMTHx3PBBRfw+uuvi2PxeDy0t7eLomi73c4777xDfHw8Ho+HoKAgenp6+NWvfsV5553H6tWreeutt1i9ejUff/wxZrOZb775htzcXN5//32efvppent7GRgYEEaQ/f39dHV1+XWVTcR5ZJIkMTAwQH19Peeccw4/+9nPmDFjBjU1NaSmpvKXv/wFi8WC1+sVwk9pp1c4XVHE0DHQ3d3NWWedRV1dHfHx8X41F3DkyAucuDb40VJcbrebzz77jL179+J0OiktLR22IHzwvskRB/l4jtWobyQhptPpKC0tHTJWxFeQyS3SFouFjRs3snPnTgwGA5MnT8Zms9HU1ERjYyN/+ctf6OrqwuFwUFpaCsAbb7zBBRdcIASSSqWivr6exMREXn31VXJzc2lubuacc84Raa/q6mr6+/ux2+1DUhiSJLFv3z5uv/12v/ENAGazWTgxBwYGCh8Wk8lESEgIf/zjH2loaODFF18kPz+f2bNn88Ybb/DKK6/Q29uL2WwmKSlpSNrQ4XDwu9/9jvfeew+Px8OPfvQjfvnLX4rH33zzTRobG4mOjiYrK4vMzEza2tro6ekhODiYlJQUUVd13333CZESEhIy4v0q1xoNDAxQW1srjgOGduzJLfNVVVVs3LiRNWvW8Je//IWXXnoJrVbL4sWLue6664SAS0pK4tprr+WFF14QHV9nn302d955pxhFERkZSXp6OkFBQezatUvYH9hsNsLDwwkKCkKtVovIjezNI6coVSoVHo+H0tJSUlNTqa2tFREYjUZDVFQU9957L1VVVXR2duJyuUR6Tx4DolKpUKlUVFdXizlnhw4doq2tjcbGRhISEtBoNNx6663o9XrefPNNDh48yDfffENERIQQQgBOpxOXyzXETDEgIEDUU2m1Wux2+9F96E8wkiTx1ltvifqgsLAwkpOTqaysxO12o9FoyM7O5tZbbz3lzR0KCseKIoaOgdzcXOrq6nC73dTV1fnVXIwl8iIjR3zkX9DHIooGR4FGSnHJImnPnj2ijiYsLEwU5o60b8Mdj9w9JJvujdULaKRxGMOly4AhYlE+vpUrV7Jz506qqqqQJIkrrriCrVu3EhQURGdnJykpKWKqORx2PVar1QQFBSFJEh9++CGSJHHgwAGmT58uTP30ej3Z2dl4PB727t0rzu/gFIbT6cRmsyFJkogyyEXUL730En/605/4/PPPMRgMnHXWWUMia7GxsaIo1WazUVRURGlpKW63m8DAQBISEoiLi8PpdIr3v+eee9i2bRvt7e2o1Wpeeukl/ud//oc//vGPfPnll/T29gKHRyakpqayZs0aEVWRh5q63W727NlDUlIS//jHP8S08dzcXDFt/LnnnuOvf/0ru3btEgXLer2epUuXirlvcoTK9x6Dw3VtRUVF7Nixg7KyMvbt20dNTQ06nY4XXniBPXv2kJmZyYoVK9i9ezeff/457e3teL1e9Ho9r7/+Og0NDUJIulwuzjnnHGbOnMnOnTv9rkdoaKgYzKrX69m/f78wp5Qkif7+frxer6hvkovjfamtraW8vJysrCyqqqro6uoiIiKCyMhI4LBICQsLo6Ojg76+Pux2O+3t7QBCLN1www14PB70ej3R0dF0dHTgcrno7+8Xjta+yDPJfJkyZQpWqxWPxzPhhJCM2+2mvb2dzs5OsrKyxNDihoYGVCoVn332GY8++uiE6HZVUDgWFDF0DCxYsID4+HgRGfKtuRhuwZeHFx7vlPrBDPfakVJcskjq7u4mMDCQKVOmMHnyZKxW66hpvsHHI9eiyN1awcHBfqmR4fAdeTFSC+6iRYtYuHAhr7/+ul+6zLeY2reGSD6XISEhXHXVVej1eg4dOkRWVhbnn3++qD8JCQkhOjqajz/+GKfTOSSSU19fT2BgIAsXLuTzzz9nx44dBAQEiLTLcAQFBQnXXbPZTHZ2NtnZ2WzYsEFEf4qLi4WHzOD29NbWVkpLS/F6vRw8eJDCwkKxUKvVaiwWC++//z4ffPABV199NU1NTbz55ptYrVZRuO3xeLjqqqtobGwUTsqxsbEsXLiQNWvWiFoj+Ty63W7RzSanA81mMx0dHZSWltLX1ydau7du3UpjYyNdXV2EhIQQGRnJlVdeKabJJyQk+DkNy+nS2NhY3nrrLXp6enjjjTcwGo3odDohUCoqKsjPz2fLli2iPkv29DnnnHPo6OgQ6S2PxyNqd2Szxfb2dgwGg7gnLr30UkpLSykqKuLAgQPCt0g+j0FBQWRnZ/Pb3/6WV199lS+++AKPxyPSP83Nzdx3330cOnSI7u5uBgYGhPGjHGVqbm7GYrFgMBj8hIrX6xXu2XDYEkFOvcoMFl/w384sWUjr9XomT55MREQE9fX19Pf3i7q1U4ks8L1eL5GRkcJUEqCtrY05c+YwMDBAREQEbW1tGAyGk9rtqqAw3ihi6BgICQlh586dw9YMDZ5/lZqaOm5T6gcj+xB1dHT4DUwcLv3mW9eRkZFBU1MTdXV1bN26ldWrV48owAYfT3h4uJgvFRwcTGRkJNXV1WzZsmVISk6u7/CdFC/XtaSmpgpBsXnzZnbv3s20adM4ePAgLS0tDAwM+J2LwTVEKSkpVFdX09XVxV//+lcyMjK49dZbef/99zn//PPp7+/n4Ycf5rbbbqOgoEAYwQ0ncMLDw0lISODAgQPY7Xb6+vpISUkhJCSEzs5Ov+eq1Wrmzp1LVVUVvb29XH/99dx+++1+9TuDh8UO164uC1aLxSLSI/KQ0+bmZtra2pAkieeff16MefB4PMIEsL29nfb2dlHDdOmll/Lb3/6WpKQkv/SWfE81NTVRVlaGw+HAZrMxefJkMSqjoqKCrq4u9Ho9X3zxhZ9Y9Hq96HQ6mpub+eSTT6itreWrr77iRz/6EevXrycqKkqIJHl2mLxPcrTsjDPOwOv18vLLLwPQ2dkpCp/l4vG7776bZ599lrKyMvR6vTjeAwcOcMcdd5CRkcHixYtFVM5gMGA0GiktLRXX1OVyER4eDhx2eg4MDGTevHlcf/311NbW4vF4/Frh5ehgSEgIdrsdo9FIWFiYiPrKx+9wODj77LPF50y+D3Q6nV83oNfrxWg0isn0csRRRp5HJo968Xq99Pf3CwGuVqvFeTnVyGINDouf9PR0kpOTRfTykksuoaioCLVaTWxsLLNmzTpp3a4KCicCRQwdIyEhISI15os8/0pe/K1W67hNqR+MPOizoqKCjIwMEZ0ZruDatw7I4XBwzz33iC/iH/7wh0ydOnXY9xh8PPJ8qcFdXr7H5jurLDw8XEQeysrKqKmpITs7W7R/WywWvvzyS9rb29m3bx99fX20tLQQHx8vOoMyMjJE2/bu3bvJysritttuo6ysTDgWb9u2jU8++URMFofDgmHr1q20tbWNmH7o7+/n4MGDvPfeeyK1YjAYuPjii5k3bx5/+9vfRARAq9WSmppKTk4Ora2taLVaLBaLiPb4dlb19PSQl5fHokWL0Ol0fveA1WoV18JgMPDBBx+gUqkwmUyEhYXR2toqUjzyguTxeFCr1ej1esLDw3G73aLFPyEhgSeeeIKIiAjcbjdbt26luroaOBxxc7vdwhivtLSUsLAwsrOzmTJliijolaMln3zyCT/4wQ+oqKhg37592O12oqKi+P3vfy9GcCQnJ3Po0CHgcAryyy+/ZP/+/WIIqhwdycrKYvPmzej1el566SXxo6G9vV100wUGBlJbW8vmzZtZunQpf/rTn0Truxw1am9v54svvuD8889n+vTpuFwuvF4vO3fupKura8j96vV6CQ4OJiMjg+DgYOrq6kTXVkpKCocOHRKT7KdNm0ZsbCxxcXF0dnby/vvvD/H6kSSJuXPnsmrVKq666irKysowGo1iFIsvGo2GpKQkXC4Xer1evD4wMJAf/OAHDAwMsH37dr/7cWBgALvdjk6nm5CF1AD79u3D5XIJAbtp0yZhfhkeHs7tt9/O5MmTR3z90YwVUlA4FShi6ATgO3rBVzwc75T6wfgO+vQt1B0J3xql2bNn88QTT+B0Olm1ahWvvPLKiK8dPEpicLeR77ENnlU2Y8YMUlJSOHjwoIgyyRGtgoICOjs78Xq9os0aEN4+1157LU1NTaKWZfCxZGRkkJCQQH5+Pi0tLbS0tAxZyCoqKkb9pa3Vauns7KStrQ2TySTShz/5yU/E9Xj77bfFMNalS5eyYMEC3n77bbq7u3nttddwOp1iWOmaNWuE8zLA1q1bue2224bcA/K0788++4ypU6cKr6PKykrS0tKYPHkyd955Jx9//DFvv/02DQ0NYgBqSkoK+/fvByAsLIw333yTiIgIHA4Hn332GUVFRcTFxQlH5XXr1pGZmckf/vAHuru7SU9Px2az4Xa7+c1vfkN/fz8DAwOo1Wo0Gg0/+MEPuOqqq/jzn/8sondlZWUiKpWYmEhWVhYvvvgir7zyCnV1dfT09Ih2fa1WS3R0tPi7PGsuMTFRRGI8Ho8oRg4MDOTNN98kOzubvr4+MdldnuMl193s27dPtKPLU+B9xZBer8doNDIwMIDH46GqqoqAgAARsdJoNLS1tREeHk50dDS9vb3o9Xp0Oh3t7e289NJLwv/Hl+DgYK6//noaGhpISUlBrVazf/9+0fIvI0f4ysvL6enpwWAwkJKSQk5ODqGhoXz66adIkkRUVBS9vb2ixR8O1yd5PJ4J2WIvI4/baWpqEsOK5VTkjh07RhysfDylAAoKJwtFDJ1gxmtK/XC/rORRGGMdsOnbHTZ58mRUKhV6vZ7y8vKjGjMid5O1trayYsUKUUALQ2eVpaam8uSTT1JZWenXjZaQkMC7774rUj+BgYGEhITQ09ODRqMhPj6eQ4cO4XQ6KS4u5rHHHqOiooKBgQF27drFl19+yQcffMA777xDS0uLEFSDF7MjpRxMJhNGoxGLxYLZbCY0NJScnByR9nrooYdYvnw5TqeTjo4OvvjiC/785z+LVIokSezdu5eDBw8K88ef/exnwkW5tLTULxIkXz9fR2qNRkN0dDRqtZpJkybR0tKCJEls3LiRyMhIrrjiCuBwd1dGRgaZmZk8++yzIv339NNPs2bNGq6//nqKi4vFKAl5hEJsbCzPPfccu3bt4uyzz2bOnDmEhISISInZbEaSJFEw/Ne//pWsrCyys7MpLS0lLS0NtVotBnE++uijGI1G1qxZw8GDB7Hb7QwMDAiRolKp6O3t5ZtvvmH79u1+7eNGo5HW1lZRGyPPBWtoaODTTz8VxdJyikmn0wkxJNfUyKks3+iK0WgUUT6TyURaWpqwGDjzzDMpKCigvb1deP10dXXR2NhIdXU1kiQJL6nhCA4O5qmnnqKtrY38/HxqamqG1APJwkCr1Yoi6/7+fmw2m4gE+XaWycjzzgbXJE0UZDPKyMhIcnJysFgshIWFERoaykUXXcSSJUsAWLdu3YjR7+MpBVBQOFkoYugkcLzDU0f6ZTXWqJLv69PS0sjNzaWsrEy0EssRm7GGsgfPugLEr8IVK1YMmVU23JDSyy67jLfeekt08Jxzzjm0tLQQEBDAjTfeSFxcHJdccgnd3d20t7fzu9/9jqCgIDEK4v3336evr8+vM0euuxkrRqORs846iwULFnDdddcNO/FdHpC6du1aPB4PjY2N6PV6NBoNRqOR6OhoEhISKCkpweFw8Oabb+J0OoU79RlnnCG253sP+DpSezweFi9ezH333YckSdx1110UFxezf/9+4uPj0Wq1PPTQQ8DhSNPLL79MUVGR8Nipqqri888/Z+fOncIhODQ0lPDwcPr7+6msrKSlpQWXy0VAQIBYjHwdzquqqoiMjKStrU3YEqxdu5a0tDRSU1O55ZZbWL9+PfX19bz11lvceuutfsejVqtFikeeAn/ddddhMpkwmUwsX76cpUuX8swzz/DCCy+ITjmTyYRGo0GlUvHOO++QnJzMlClTRBGxnO6TtxsYGCg8gHzp6+sTnVpyXZGcOp48ebJI8QF+bfIyw83jkq//wMAAr732GiqVSnSLDUaSpCEpO7Vajcvlwul0DjH+9H1feZ8HC6WJgO84GjlSaLFYeOONNzjnnHOAw+l6X2POwT/KRjNXVVCYKChi6DRgtF9WYxFavq/Pzc2lpKREFEI+8MADLF68GJ1ON+ZQtu/2du/eDRz+shxcDzNa91xhYSHR0dFiQOctt9zCZZddRkdHBzt37qS/v9/P2E+e6C7PjxqOo11MgoOD6evr4+c//7moZxmcKmxqaiI9PR2HwwEc7h7zer0EBgZy5plnMn/+fK666ipUKpXopPrHP/4h0k6SJLFq1aoh5yEjI4Pk5GQaGhpQq9UUFxfT3t5Oeno6vb29tLS0oFKpRI1ObGys6EKzWq0MDAwwefJkPB4PkZGRxMbGotfr6e7uFvU/LS0twkFbnlEWExNDdXW1MII0mUysXbuWsrIyUlNTRRdaWloaa9asYdeuXRiNRq677jq++uor2tvbOXToEJ2dndTV1TFr1iwaGxtpa2sDEGk1OBwZkTu8LrnkElJTU/nNb36DRqOhqKiI/fv3k5CQwJ49e+jp6cFms9Hb28vcuXMJCAgQ9WNy+lSv17Nw4UKKi4spKCgQkaiAgABcLpeI7ERHR5Oamsof/vAHdDodf/7zn/2Einx+fJHrrwYTERFBV1cXvb29Iwrt4cw2AWJjY5k7dy47d+6kp6dnyHvKHVtut9uvC20iYrVauffee/F6vWJArVqtJj09naioKMLCwggJCeEnP/nJsGOFRjJXVQSRwkRBEUMTlJGmuR/LCAzf18sRGtlXZvHixZhMJhoaGsYcyh78Sw/+GxkaLgriS21tLZ988gl9fX18/fXX2O12du3axb///W+R4qqsrBzxWI5lmrdWqyUyMpLAwECsViv9/f1+ZnqVlZXMnTuX9vZ23n33XS699FJRwPyXv/xFCCE4fF3kdEhWVhYul4vf//73pKamEhsby549e8SiJxf5FhcXM3/+fL99MplM/OlPf2LRokViEvv69evJzs4mMDBQ1HYtXLiQtWvXitSk3BGYmZmJ2WwWs87uu+8+goKCsNvtBAQEYDAYMJvNpKamUlNTQ0BAgHCe/vGPf8z06dPZtm0bJpNpyCDWyspK+vr6ePLJJ3E6nfT19fHNN9/gcrkYGBigv7+fd955R4wmeeKJJ/j4448pLy+nrq6OgoICkXoym83MnDmT9PR04aUlmz4+99xzPP/886I4XPYHamlpYfHixbzwwgvCPwkQw1n379/PnDlzCAgIoKmpiYMHD6JWqzGbzSIK09XVJa7DBx98MGLkB/6bqhpODLW1tQkBPNrrhxNKLS0tlJSUCCsEX6ZOnUp4eDhFRUWigH0iExwcjNfrpaqqSqTzPB4PlZWVVFZWotUeXkpKSkp45513iIiI8Hu9HMkebK6qpMsUJgqKGJqAjOdkeBhat7Rq1aohjsNHOx7Ed3vAESfNu91uvvnmG+69914xx8l3gRiucPVYkZ2JTSYTkiQRGhpKamoqDQ0NBAQEIEmS6BBLS0sjNDSUpqYmsrOzxQiHyy+/nN7eXg4cOOC3ba1WK4qPf//732MwGDj//PNxOBxERkYSHR1NTU2N32uG83Fyu9188MEHBAcHi8jDl19+SVFREeHh4ZjNZi699FL+93//1++cLlq0iEWLFmGxWMjNzeX555+nvb2dr7/+moCAAIxGI2eccQYzZ87EbDZTXl7OWWedhc1mo6CggF27duFyufjqq6+47777uPPOO0X321dffUVnZyf19fWkpaUxffp0urq6CAwM5Pzzz2fHjh00NjYSHByMw+Ggu7sbu93OBx98IFJd4eHhTJ06FY/Hw3XXXccVV1zB1KlTefTRR6mqqhJO2PIEeXlsCByO2MTGxjJt2jQyMjKoq6vzEyHd3d386Ec/EpPnb7jhBtH27/F4RE3OwMAA+fn5LF26lEsvvVTYFIyE1+v1E12+qFQqjEbjqJGhkR53Op1UVFSg0WiGvL9c/yVHwCYachpYp9MRFBTE5s2b2bdvHwDl5eXiB8LAwAA6nU4cwzfffMM111zDBx98cFRjfhQUTjWKGJpAyPPOkpOTj3sy/OARC77RGp1Od8QRHIONAocLffvuz+B9k8XC9u3bSUhI4K233mJgYECkPE4U4eHhPPvssxQWFlJWVkZCQoIQBVlZWZSVlbF//376+vpITk4mMzOTu+++G6/XK1I9drudvXv3Ultb6xcVkg3z5GnzcrqltLSUZcuWodfrMZlMREZGUlJSIuagGY3GIeemqKiIkpISLBYLe/fuxe12i1TPlClTCA8Px+Fw8OCDD5KTk8OKFSuEH1N2djY2m42Kigr6+/upr6+nr68Pp9NJYGAgSUlJ/OY3vxGO3bIpotPp5Oc//zlfffUVarWaTz/9lP/93/8lLi6O999/H5fLxf79+5kyZQp79+5lYGCAwMBAkpOTOf/889mwYQMul4s9e/YwY8YM0T7+3nvv0dvbS0BAgDDgCwkJ4YILLiA4OJh169bxn//8B6fTSXBwMB6Ph8suu4y9e/cK353zzz+f2NhY6urqmDt3rp/Jny8tLS2o1WpUKhVz5szBbDZz4MABWlpa/K7VwMAAHR0dvPnmm6JjcTSMRiN2ux2VSiWiHJIkCeNFSZLE4yEhIUybNo3e3l7KysqOuO3hxFJfXx8ffPCBcDCfaJEhj8cjOjM1Gg3PPvssUVFRrFixgvXr17NlyxbKyso4ePCgEKAtLS1oNBpqamqGjYaeqBFECgrjgSKGJgi+887i4uK4/vrrqaysPKZfUN3d3SxevJiqqioyMzNHHQnii6/AOdZ2WDnVZDKZeOihh4ZNPYwFuYtlLGRmZvJ///d/1NXVceWVVxIREcEll1ziF7mqra2lpqaGuro64a7c2NjIzp07iYqKwmw2+22zsbHRb3GF/7oO+7oqywW2TqeT22+/neLiYt544w3sdjsej4dFixb5CUXfmimr1So8cGQkSaKmpkakWAIDA4HDfj5bt26ltbWVL774QoixmJgY+vr60Gg0wnSwq6sLq9VKbGzskBly//d//8fSpUtpbGykqamJO++8k+DgYOEh09LSAsC8efOorq4WgvzBBx8U19LtdlNVVSUEs1yYLY/HkKNGP/7xj5Ekid7eXpHe7Ovr4/XXX+eNN94QkR+9Xk9ubi7BwcFMnz6dL774gq1btw4xLfS9Di6Xi2eeeQav10tISMiQ1KokSTgcDlFfNRrytddqtWg0GoKDgzn33HP56KOP6O3tFULFt0j8rLPO4qabbuLMM8/0m1s3VuSU4KkgODjYr63/SPT29vLRRx/hcDjYtm0boaGhYm6fTqcjJiaGf/zjH6xYsYKysjIkSWL79u3MmTPniD+iFBQmCooYmiD4zjurr68XU9GP9heU2+1m3bp15OXloVKpRhzGeiSOpR321Vdf5dprrx2XX7mDhVBISAg2mw2VSkVCQgJut1ukWJxOJ6GhoVxyySXi+b6eSjU1Ndx+++18/vnnfpPC5feR0ygxMTG0t7cTFRU1ZKHSarXExsbS1dWFwWCgv79fpDhCQ0OFU/Lu3bvFiAzZL8kXX9dwjUZDR0eH3/lyuVzYbDbhVix7u8jOynLNjsfjERPW5WGZ4eHhZGZm+jkB+17HwsJCFixYwNVXX82LL75IQEAABw8eJCoqSnQ9RUdHA9DR0YFOp8Pr9WI2m4csnm63m5CQEOEH5Ha7yc7OJisri5dffpmBgQFhnuh7Lfv7+6mpqUGSJJFakSMycmShs7MTlUo1ohgyGAy43W7hsi0Xmg9GpVIdUQgFBgZiMBhEt5dKpcLhcPDpp5/6eVZpNBpiY2Opr6/HarXy3HPPsWPHjmGF0HDjNEJCQtBoNHR1dY1Z5J8ohhNC06dPZ8qUKTQ3N1NYWCjuSa1Wi8FgEB18VquV7u5uzGazKEpva2tj1apVrFu3jscee0zYdSg1QQqnE4oYOgrkERTjuT05lTV43tn5558/6syw4ZDTLy0tLQQGBmK320lJSfGbATbW/Rktv+/7vO7ubl5++WWio6P50Y9+dFT7O1a0Wi3btm1jw4YNtLS00NfXx49//GP27t0rCsHlY/QdA7Jv3z62b99Obm4uX331lVh8B3fueDweWltbmTx5MvHx8cyaNYu2tja+/PJLvF4vUVFR/Pa3v2XWrFmsW7dOFMXm5ORQV1dHUlIS+fn5NDY2ilZp2SywoqKCjz76iAsuuACTyYTFYsFqtVJaWkpMTMyQ6BMcHt46ffp0LBYLOTk5ooB60aJFfPHFF3i9XpH2kjupbDYb1113HcuXLxcLUENDAxaLRRRdW61Wfv/73zN16lSWLl1KeXk5eXl5FBQUYDQamT17NsHBwaKdfc6cOZxzzjl8/fXXol7EF/mzYLfbUavVhISEiDShnEIcLIbkeq3h8Hq9lJeXo9VqCQoKGtb3R6fTodVqxRwxeZuDkefLqVSqISNVfLHb7X4zxrxe77DvK89Rk4Vcd3e3cOEezHBpMbvdjlarPeVCaCQqKipEfZPFYiErKwuNRiMG2MqRPzgcSQsICBBjU9RqNfn5+Tz22GNoNBoCAwP95hUq7tMKpwOKGDoKbrrpJl577bUxpZyOxHCprJHmnY0F3/SLzWbjwgsvZNKkSaxfv35M+zvcdPrBRdINDQ0YDAYxkiAjI4P8/PxxKQCVUxDyr/OgoCBuueUWjEYjt9xyC9HR0RQVFVFYWCj8iwCxHwB5eXl8/PHHfPPNN1RUVIhU1dSpU4VfkNfrFb/cfRdRuSZEkiTS09N58MEHueOOO+jo6KCpqYmHHnqImTNn8swzz3DgwAG2b99OeXk55513Hmlpadxxxx3CV0aOGHV3d/Puu++yZ88e0tPT+c1vfkNYWBhNTU243W5qa2uHjX6o1WqamppoamoSs7Rqamqor6/HYDBwxhlnsHjxYlQqFa+99holJSV+nk6+94Lsir1v3z5+/vOfc/DgQbZv3052djYqlUosZrJwiYuLo76+noaGBpYsWcIFF1zAc889N0QgyOk7eXGTheShQ4dISUlBkiQsFgtqtVrUM4WHh1NbWyuG5crXXKfTiSJlWYzI7+dr2AiI/TySn9S0adNwu93jJj5cLhd5eXl+jw3e9uDaH/naysaScpTqaGqEZFfvkzWvzOPx0NnZyeeffw4cFoGy87herycqKopJkyaxcuVKKisreeqpp3A6nZjNZnQ6HWaz2W9e4YoVK4bM6lMEkcJERBFDR0FFRcUxpZwGM1oqa7h5Z2NBToc4HA5CQ0NZtWoV2dnZY/7iGTydXp4y/8EHH5CTk8OWLVvYtm0bERERosPqq6++OqZ9HUxAQADLli3jwIEDpKWlcdZZZ5GVlSVEjPzLcsWKFUNMEVNTU/nggw/4y1/+QmlpqWgtlyeuy11UgYGBzJ49m5qaGmw2mxiKKRfq6nQ6srOzmTVrlhBaer2epqYmrFYrISEhYrba/PnzmTNnjohAFRcXM23aNLq7uzGZTISHh1NRUQEc7ijq7u7ms88+E/49suDr6+sT89Z8kSSJhoYGTCYTpaWl3HXXXbz++ut0dXURFhaGyWTi//2//0dUVBRLlixhyZIlwkRRvhfy8/PJz88nNzcXgBtvvBG3243D4UCSJAoKCkR6TC4abm9vJy8vj/j4eHQ6HVdeeSUvvviinxBSqVQEBgaKeVqzZ88WjuEtLS3U19eL7qn4+HhMJhOTJk2ivLwcSZLENHjZINPlcolaJFlcSJIkhKz8nrKAUKlUYxIGpaWlIoU6GvIss6MV9P39/UNScwaDwW87wwkxefyHwWAgMDCQ/v5+Pwf3wc891pq78UKeXSdHPOvq6qirqxP1cTfeeCMtLS188cUXlJeXD5lXWFZWprhPK5wWKGLoKJg+ffqYU04jcbypLF9GS2uNVQjJQkMe5FlUVCQWo5SUlCH1BYNddseCXJTa29srCo4DAgJITU1l0aJF3HzzzUJs+Lb7y/vnG+WQhYpsVnjeeeeJMQ1yFMFgMBAQEIBOpyM4OFgs9rI/kF6vp7+/n8DAQMLCwoiOjmbevHnCVdlqteJ2uwkNDSUzM5PS0lIAkpKSSE1NFftVXV3Nhg0bKC8vx2KxkJGRQVtbG9XV1WIshV6vF0XGPT09VFdXc8UVV9DQ0IDD4aCuro7g4GARQZHTSwaDQbSaf/bZZ6Ijqre3l8jISMxmMw899BDV1dXk5OSwcuVKcc7k7rH6+noCAwNFsfP3v/99Dhw4IKIr7e3tBAQEEB4eTkpKCkajkYaGBjQaDSkpKaxZs4aysjKRloLD3Xrp6ekEBASI8RaJiYk0NTWxfft2Ojo6xDVvbGwkPDycHTt2CGfsuLg4cnJyWL58udh/YNjxFjJyFEWlUo06NsMXWWgdieHSlIMZayRnLIJKHnTqdDpHbOeXOVlCKDAwkPj4eGpqaoY9huFGhXR3d7Nq1Sqef/55VCoV5557LosXLyYqKopHH31UuFFnZGQo7fQKpwWKGDoKnnnmmeNKkR1vKsuX4dJsR9u2OrhjbP369cyZMweACy64YEz7YTAYRF1NX1+fWAx9CQ0NZfLkyXR1dREVFcVFF10kzPHkNuyRQulywXF+fj4ff/wxdrudSZMmUVJSQkVFBQcPHgQQKTa9Xs+sWbM4++yzycrKorCwkP/85z9otVrOOOMMvvzyS7GYBgcH43Q6SUlJoaWlhddffx04HFXIzMwkKysLQLQLd3Z28oc//IHVq1dz0003sWfPHlEQK89jk8c8yNGMjIwMwsPDKSkpwWazkZiYyIoVK/yG0crDSeFwaiU0NJQLLriAmJgYrrzySu666y5RzDxr1ix+/etfs27dOt58800CAwPxer188803TJ48WYi5qKgoYmNjcblcpKSkEBsby89+9jPef/99MZRWp9OJ4vPZs2dTWVnJhRdeiEql4uuvv6awsJCAgABiYmLQ6/W0t7cL353Q0FB6e3upqqqisbERq9XqV5sj+/7IwlNe2OXz+Mwzz5CUlERjY+MQ00Hfri1fBtcfjYXxaFs/ltcbjUa8Xu+whd0n2l7iaJGvj2wdAIe9ukwmE52dnfT19Ym/+Rak19fX8+CDD/Lcc8/hcDhIS0vjf/7nf8Rol2XLlmEymZR2eoXTAkUMHQVjFSwjFQwebyrLd/sjpdnGEoJ2u900NDTQ3NzMV199RVlZGXv37mXnzp1HtR9weLGZMWMGqamp6PV6/vOf/4gp6AEBAQQFBbFixQquv/56kY6Cw4Md+/r6Rg2ly7UjkyZNYv/+/Xg8Hp588kkuuugi3G43Bw4cQKVS4fV60Wq1hIaGEhcXJ4wdX3/9dTo7O5kyZYoYf+GbYnE4HGg0GgoLC0lMTPQbLVJaWsr69es577zzePDBB7HZbDQ1NfHss89y4MABvvzyS1HjIuPxeJg0aRK9vb0iTTdt2jSmTp1KZ2cnDoeDgIAANmzYQE5ODgsXLhTuxV6vVxQhL1iwgF/+8pfs2LGDf//738JjKjAwkD/+8Y9s2bKFN998U6S8mpub+cUvfoFKpWLJkiXcdtttYgJ8WloaK1eupKioiNTUVJYuXcoTTzwhUm6zZs1i/vz5eDweDhw4QEVFBVarVYyJMJvNZGVlcdNNN/G///u/WK1W8vPziYuLo7S0VESxhhMdcoplME6nk127dpGQkMDZZ59Nd3c3Bw4cECJhNMHje/2G69oa6bknC51Ox6xZs2hubqaurm5C7NORGBgYED8qZGw2m2gCkDvK7rzzTjZv3kxnZyd6vZ5zzz2X4uJiOjo66O/vZ9euXRw4cICIiAh6enowGo08+OCDSju9wmmBIobGmeH8eQBhfncsqazBNDQ0UFtbe8wdY2vXrmXbtm1iIZWR00HDIdfuhIWFiWiInH6KiooSX5rz5s3jwIEDpKen8+tf/5q4uDi/aIW8Hd/zMDiUbjabycvLY/v27RQXF4up9HInUlNTk6hHMZlMBAQEiNTTvHnziI+P5+mnn6ajo4OKigqmT59OfX09S5YsISIigo6ODkJCQpg1axZGo1EUKs+bNw+AgoICUdexY8cOmpubxaLucDj48ssvsdvtYtGWi7MjIiK44YYb+OyzzygsLMRgMJCTk8O1115LeXm52B+VSkVxcTGLFi3i8ssvp66uDqfTiVqtJjo6mgULFjB58mRKS0txOBwEBQVRX19PWVkZP/3pT8VoEYCLLrqIlpYWSktL0Wq17N69268GxeVy8f/+3/+joqKCjIwM1qxZw1NPPYXdbqe5uZkLLriAa6+9lrvvvluMKpFrRDQaDfPmzRODWuWUaXt7u1gsfVvkh7tn5IL0vXv3+vkUyQac8oR7j8cjxlaMNfpzsoTFcLU7IxU2DwwMsHv37glnongk4TgY2acJ/nu93n77bV577TV27txJbGwsl112GU8++SSff/65KIjv7+/n4MGDeL1enn32Wf73f/+XqVOnnqjDUlAYNxQxNM4M9uepqanh2WefFbUdwxUBj5Xu7m4+//xzCgoKqKurIyYmhnPOOYeHHnroiFGrkpISEeF4//33h31Of3+/qA8xGo288sorPPbYY2J2lsPhQKfT0d/fLwqP586dy/nnn095ebnfbKuMjAwxHHTz5s1+U+2tVuuQ87By5Upqa2upr6/nuuuuo7S0FLfbTU9Pj+h48nq9mEwmUlJSWL16NR9//DF5eXksWLCAVatWie0Bop08IyOD0NBQIbpKS0vF/LEXXniB4uJizj33XK688ko6OjrQarU89dRTNDU18fnnnzNnzhxRjxQYGEh3dzdOp1N0n6lUKhITE0lOTuaWW25Bo9Hw3HPPYTab0Wq1XHjhhcTExOByuTh06BBarZaQkBBmzpxJbGws999/PwCFhYXMnDmTW265haSkJHEMxcXFWCwWdu3aRV9fHwcPHmTGjBlotVqSk5NZsWIFF198MVarlYCAALKzswEoKipi79695Obm0tfXh8lkori4WNT4dHR0iFleWq2W7OxsvvzyS/r7+7FYLOLX/kcffcQnn3wyJLXjdrtFOkv2BJKjdLLglf1/uru7mT59Onv37vWbbN/W1iaiR7IYDA0NFSm58ZziLu/TkZBr23zFTGRkJG1tbbhcLtEhNlI9z0QTQTJyCtdut6PRaIiMjMTlctHd3Y3H4zniuZEkifz8fC644ALx4+ef//wnd999NxdeeKEYrpyamkplZaXwrWpvb1fEkMJpgSKGxpnBQ0yfeeYZXnrpJSFWZGfgo0V2qK6trUWr1XLOOedgMpm48847h23Db2pq4uWXX2bp0qW0t7czc+bMI75HREQEn376KZ988glLly4lOjqaH/zgBzgcDj7++GP+/ve/iy+4qKgopk2bJoSYb1pQHqewadMm8vLyqK6uJj4+nsLCQjZu3Ehtbe2Q2iCHwyEcbK1WK2azGYfDgdPpRKVSodPpOP/884mMjGTWrFnDDoL0Pa9ynYLs6yOLpP7+fq677jrAf87X9ddfL9KEPT09or1dTiHIU+gnTZpEZ2enWLSTkpKIj4+nvb2dhx9+2G8xzMzMZObMmVitVoKDg0W3UWBgIMuWLRPHHhYWRmBgoBjGKp9L+RjMZjNVVVWiwHz9+vXCY6e2tlYYPwYEBHDBBRfgcDioqakRxckBAQE4HA7MZjOPPvoo0dHR5OTkEB8fz+zZs7FYLNTV1YmCXjnqJRdaDydKPB6PqDtyOBwYjUZ+8pOfYLVaefvtt/0KmKuqqkRBuC9er5eenh4RYfF4PELUjWS4KHM0DuXAkMU+IiKC9vb2Ic8bzpCwq6sLs9ksamvGU6SdLHyLtd1uN3V1dURERNDX1yc+X/LfjoRcF/jll1/y85//nJCQEM4880ymTp3K3XffzbJly9i7dy8zZswY0/eOgsJEQBFD44zv/B232819992HyWQSTsLH2k3xzjvviPCz7EJ80UUX+QkAWQCdd955nHfeedjtdu69916+973vjbjd4OBgVqxYQXR0NNdffz0RERGicNj3mMrLy2loaADg2muv5brrrvNr5x4s8BoaGsjLyxNfrmq1mvDwcKqqqkStkG9tkFwDJc+DstlsxMfHi/omnU7Hueeey49//GNef/11fv3rX7Nr1y7UajXNzc1cd911IqIi77OvsAB47LHH2L17t2gHl6NVCxYsEAXOcjpO9twJDg72K/A1GAzMmzdPpJQuvfRSOjs7ycvLo7u7W4xZkFvH4bBATklJYefOnTidTj799FMeffRR7rvvPlpbWykpKWH//v3s3r2bvLw8YmJiRIeYfF5ffvllIYZ0Oh1PP/20aNXPyMhg3759pKen89lnn7F161YOHTok2qH1ej3p6em4XC4qKipIS0sjMTGR66+/ngULFvDwww/z73//WyyMGo2GmJgYMZpDdhsenGbxeDwYDAZmzpxJfHw8t99+O83NzeTn53Pw4EG/hXWk0RODIyyjmTLKBAQEjDmdNpJoGk4IjYQsyH2jg6MREhKC3W4/aaLpaIWhjHwO5M+cXq8nPDycjo4ODAYDHo9HmC36XvvQ0FB6enpQqVTiOykwMJC5c+fS39/PCy+8IKLD4+HJpqBwMlDE0AnAdxRETk4OgGgLP5YaoaqqKlasWCEWlNTUVDZt2oTFYuHFF1/k8ssvx+12k5qaKkZUyIuM3W4fIlTkjiCLxcJ//vMf0UE2Eq2trZSWlhIfH49Wqx0iPAbjdrvZunWriExcffXVOJ1Oampq6OnpEWkrWaTU1NRQXl4uhmWGh4czbdo04uPjueWWW/jtb3+L0WjkwIEDVFZWUlJSIpyDZUM4+X19xY9v7dZVV10lZnvt37+fuLg44WZ9+eWXExgYKASP3H11991388c//lEYH+p0OlJSUvj1r3/NHXfcgd1u54033mDKlCkEBQXR09PDwMCAGLj69ddf88033zBlyhTWrFlDT0+P6ACrrq4Wkavg4GAxp6uwsBCdTkdxcTENDQ243W46OjqYOXOm8LdqaGgQk+bz8/P5wx/+gMPhwGQycdddd2G1WkVBdkBAANHR0dTU1NDR0UFQUJDY1xdffJHc3Fwx1gIO15ZkZmaSnJxMbGwsPT091NXV0dnZSVdXF3V1daKmSK4vqqio4Morr2Tbtm3k5eX5eQSdCHydxOUC9JGQU37Hg2wEKUkSUVFRqFQqIXaGEyGhoaFkZWXx5ZdfHtf7Hs3+DUYeGXM0uFwuca7k12ZlZWG322lpaSEgIIDXXnsNo9HI5s2bef/998Vn3Ol08u9//5uioiLRMal0jimcTihiaJzxTU9FR0cfV1tpd3c3H3zwAStXrvQL32dnZ+PxeMjJyaGjo4Pw8HBWrlwpvEBcLpeokTCZTLz99tvi12NoaCgWi4WBgQGysrJIT08f8f1lcTG48PtIab7B4umSSy5hy5YtIp3j20XncDhYvXo1u3fvJiAggBtuuIH4+HgxpPaMM87gsssuo7CwkK6uLp5//nl6enoIDw/nrLPOwmAwcOaZZw4ZSLpo0SK/2q0FCxYAiC6pjz76CLfbzb59+7jxxhvJysoiKCiI7u5uwsLCmD17Nl999RWlpaWoVCoMBgPTpk3joosuIi4uTgxr1Wq1ZGRkYDabufzyy/n0008pKCgADrdXv/POOzQ1NQnrAnncRU5ODmazmd/97nds375d1O6YzWbUajVpaWk899xzPPnkkzidTs4880w2bdpEYmIiUVFRZGZmsnXrVgDefvttbr31Vv7whz/Q2NgoolohISGEhYVRWlpKU1MTarVaRIn27dtHW1sbpaWl9PX1iQU1ODiYl156Ca/Xy4svvsjHH39MY2MjYWFhnHfeeQQEBPDVV19RXFzsVxAdGxvLli1bqKysFBGm40V28h4JSZIwGo1+M8QGc7xCSEaO9jU0NBAUFERwcDAhISHCUwr+G6GRHbxPJcMJoUmTJtHW1nZUUSQ5dRwSEsIll1yCyWTi66+/5t577+XWW2/lmmuuoa6uTow9+eSTT3C5XGzdupWbbrqJ+++/X4kOKZwWKGJoHGlqahLRmXvvvZfKykqio6OPq0aourp6yIKwbds23nzzTZEqkIth5e6ywMBAduzYwY4dOwgODua2224DDv/qP++88zCZTGLRt1qtw35ZdXd3s27dOlpaWkhNTWXNmjXYbLYxibrBBpDyf8N10ZWVlbFv3z4MBgNarZabb75ZuDv7Fld/8803/PGPf/SzJcjIyBD1QA0NDXz11VfY7XYKCwu59NJLheePXLuzZMkStm/fzocffigWBIfDwa233ioWb6vVSlVVFcXFxSQkJOByuUTrvtls5owzzhDOz7t372bevHncdtttWK1WHA4HH330kZhBlZiYSF1dnUgL2mw2kRozm83cd999bNu2jc7OTgYGBkRHlU6nw2azsXv3btrb25EkiZ07d3LHHXdw4YUXsmLFCs4++2w+++wztFotu3btor6+nrffflsYTcquyiaTSXT6yenHZ555RkyY93q9JCcnC6PK4OBgWltbiYiI4IsvvqC+vp6uri46Ojqoq6tj8uTJwkVaJjAwkPT0dGw2mzBXHKmQeKy+PyqVCpPJdEQjw9GE0Hgh77McbdNoNKIuy1dYyP8/EdvnAc455xy++eYbampqjvq13d3dvPDCC7z44ot4vV6Cg4N54IEH+PDDD9m+fTuPPfYYtbW1OBwO1Go1nZ2dPPvss+j1eu677z4lSqQw8ZEUjkh3d7cESN3d3SM+x263S6tXr5YA8d9jjz12zO/56quvSkajUdJqtRIg6fV6KSgoyG/7gYGBkkajkaKioqS2tjapsbFReuyxx6TGxkZJkiTJ5XJJDz30kBQcHCzpdDpp6tSpUmNjo/TII49I/+///T/pkUcekVwu17DHcvHFF0uBgYGS2WyWkpOTpfvuu2/Y5452Pnbv3i3Z7XaxL/X19WIb8r+7urqkK664QpoyZYp0xRVXiOcP3tY999wjzZ49W5ozZ470+9//Xmpra5PeeecdqaurS3K5XNKGDRuk2NhYKSwsTPre974nTZs2TdLpdJLZbJbWr18vuVwuqa2tTYqKivI7h4CkVqvFOZYfU6lUUkhIiKRSqcRzAgICpJiYGOmKK66Qurq6/I5HkiSpurpamjlzpmQ0GqWgoCBp4cKF0n333TfkXLtcLumee+6RLBaLeE+VSiVptVrJaDRKycnJ0oUXXiglJydLarVa0mg0ksVikS677DLphhtuEOciJiZGio2NlWbMmCFlZ2dLERERktFolMLDw6WYmBgpJCRECg4Olsxms2Q0GqXQ0FApJCREioqKkgIDA6WzzjpLmj17trRw4UIpJSVFio+Pl37wgx9IbW1t0q9+9Stp0qRJksFgkNRqtaRSqcR/gKTRaCS9Xi9FRERICQkJ0oUXXihFRkYOObeD//M9x6P9p9VqpZCQkDE990T/J98fKpVKCg8Pl1JTUyWdTndK90m+Dsf7X1xcnBQXFyeZTCbxmE6nk0JDQ8f0erPZLG3dulWaPXu2FBsbK74zjEajlJGRId1www1SfX392L/4FBTGmbGs35IkSUpkaByQh5wWFxeLUHlgYCBLly49pm3t2rWLP/3pT2I8g0ajYcaMGTz11FOiMDowMJCdO3dSUFDA5ZdfLrqr7rjjDuDwL7n//Oc/lJaWcv7552O329m8efMRU3cOh4Nt27YJQ0O55VmucZFroUZL/bnd7mEdpeUImRx1amtrY/bs2Tz33HMjFlx2d3ezZs0aPv30/7N33vFR1Okff28v2WTTSSEhIUBCQgmhF+UQ0AM7IHDK4Vnu1FPx8Kyoh4pyenqiWLjz/Onh2YKCFSyggICAIEIwCZCEdALpm2Q3ybb5/bHMmE02jRpg3q/XvJLsznfmO7ObmWee8nm+w2g0kpiYyGWXXcbFF19McXExMTExfPTRR+zevVvy4FgsFgoLC6Wcjs2bNzN//ny+//57L0+CUqkkOjqakpISwKMR0zLfSqVSeYkiNjU1YbPZ+OWXX8jOzpYSvMVzER0dzdy5c/nggw9Qq9WMHz+e2267zUtqADw5Utu3b/equBKONx9Vq9UUFhZSXFwslZrX1tZSV1fHtm3bmDt3Lj/99BPl5eVSorfRaKSgoID6+nppvi2blIqaRElJSRw8eBCNRkNISAjx8fEMGjSI6upqcnJyEASBtLQ0/vGPf/Dvf/9b8h4ZDAbq6uraCEyKhQGA1HusM8ReaJ2tGxwc7LOy62zQ8rjFMHNJSUmXKq+6Q3d6kXXlXHcF8bsPnkT5AQMGEB8fj9lsZvXq1VIVotFopKamRpKVEGloaGDevHmMGjVKkqEQc6zEQgC5BYfMuYBsDJ0CMjIypByK3r17M3PmTO6//34iIyM7HOdwODhw4AC7du3iqquuwmg0MnPmTLZs2UJjY6PU10q8IbrdbnJycrxyklpXfsGvIbaioiL8/Py45JJLmDhxoqT30Z4irGjUZWZmSl3GxVJ58aLmS1SytUHUWmupZXNGm83GrFmz2LFjh3STbmho8Nn81mazMXPmTElpOywsjJSUFMlYcDgcFBUVsW3bNmw2G7W1tQiCICnkOhwO/Pz8mDBhAv/5z384dOgQ8GuPq3vuuYfrrruO6dOnU11djSAImEwmL6Xs1mJ1tbW1qNVqvv76a3Jzc6mtrSUwMFCq/rrvvvv43e9+R2NjI6WlpSxatIja2lqGDh3KlVdeybFjx3jmmWfYt28fbrdbSnQVw3Si4SXegOvq6iQtH1HiQMwHCQsLo7S0lP3790uhMJfLRWhoqKQBZLPZCA8PJyIigmPHjhEZGcmECRN4+OGHKS0tRavVMnv2bEmBeNWqVdK4lkaATqeTxPdE6uvriYmJoa6uDpVK1WkVmEh7N/KW57q95qVnEzHfrKioqEuVYi17unWFoKAgAKmK70Q50eqyhoYGqcGvSHh4OGFhYVx88cWMGDGCkSNHSjpgIna7nT179pCQkEBQUBBmsxl/f3/uvvtuhg8fLofIZM4JZGPoJHE4HGzcuFF6yk9LS+Opp57qNGnQ4XDw97//naVLl2K32wkNDeX//u//2LRpk1eehFhtlJycLHlORO9Pe3z77bdSPoPVamXatGn87ne/6/SiJBp1ohHx+OOPc/XVV3vlComVTB11oW6dM9TyyTArK4u8vDypIicsLKzdJ8esrCwOHz4sXdwvueQSHnroIRwOBzExMZKx98UXX1BSUkJgYCAul4umpiZSU1NRKpU8+uijbNiwgffffx+dTkdAQAB6vR6DwUBhYSEqlYqhQ4eyefNmwHOD1+v16HQ6qat766d1q9XK9u3bUSqVHDx4kP79+7Njxw5mzpxJXFwc4eHhzJw5k02bNmG32wkJCSEzM1MSsGxubkav16NQKOjVqxdlZWUIgoBeryc8PJySkhLJgyJWy4mtQ5qbm1EqlSQnJ2M2m8nJyZGMFI1GQ2BgIG63m+rqaiIjI0lJSeHBBx8kJCSERYsW4XQ6qamp4aWXXmLv3r1YLBbKyspwuVxSE1SxCg08PapElXKdTtfm5l5TU4PBYCAuLo4DBw50+P0Sac8z1J1cG41GQ1xcHLm5uWdM6NDtdlNUVNRlYyMiIgKXy0VZWVmXtn/s2DFUKtXJTlOa26noy1ZeXi4VRCgUCnbv3s2PP/7Ie++9x5///GfJO2az2di/fz/gSXwPCgri3XffJSQkhPDwcLnUXqbHIxtDJ0lubi4bNmxgyJAhKJVKXnzxxS79w5eXl/PNN99IT/lVVVVepbhKpZIrr7yS5cuXU1pa2uULic1m4/XXX5fCJPHx8Vx99dWdGkItjbrm5mbS0tKYNWsWRqPRS9SxI0NHpKXWUutQWnJystQJPiEhgSeeeKLdubVct2/fvvzzn/+UzsFXX33Fiy++SFFRES6XC61WS1hYGCqViqamJkpKSkhJSSEqKor169djsViw2+34+/tjMBgk7R+lUimVtYskJSURGRmJv78/GRkZbeYlHNcSioqKIikpiaNHj1JZWcmqVatYuHAhWVlZ7Nu3TzJqxe7wolCiWJIu9iLT6XSYTCaSk5OJiIjAaDTy6aefSiG9gIAAgoODJUMHPOX/opHS0hDq1auX1HneZrMxePBgSTphzJgxZGRkEBkZyf/+9z/Ky8txu90EBQVhMpnQ6XTYbDbq6+tRqVT069fPy9hQqVRSg9mW3ze73U52dnaXOsCL5+9kEb2kHdHVFhTd9aS0t27LcnaVSsXo0aOl5r/tIXrcTkfy9ak2EgVBYOTIkTz77LP84Q9/4MiRI6xcuZKjR496ffZNTU2UlZXxyiuv8M0330htOsSG0rJBJNMTkY2hk8BisTBjxgwOHz6MXq/n/vvvp0+fPl0aGx4ezqWXXsru3bux2+0EBwej0WgICgqioaGBYcOG8cYbb2A2mzsNt7UkKyuLnJwcQkJCAFixYoVPherWx/Hpp5+SkZHB8OHDcblcLFu2zOdFq6Who9PpWL9+PePHj2+zj/ZCcUaj0UtA0Nc+bDab9H56ejoZGRmEhoZK61osFn77299SVFSEVqtl8uTJzJkzhxkzZlBZWclLL73EsWPHMJlM5ObmSvsVBIHY2Fipu/vatWv59NNPvZ7cBUGgqKiI8PBwry7eIoGBgURFRREVFcXChQsJDAzk4YcfprGxkW+++YYrr7yS5ORk4uLipO2KHefFp2gxTOd0OqWcDavVit1u54MPPmD8+PH06dOHr776ioaGBpxOJ42NjVx66aU0NDSwZcsWfvjhBxoaGqTy8tDQUMLCwqQ2Jjqdjuuuu85L20pU+K6trWXFihXSjVej0XD55Zdz+PBh9uzZQ1NTk9SZ3mAwSF6pQYMG0dzcTH19PdXV1ZKekdjx/Ex5aKBrRkNXDYsTCSn5orm5GY1Gg8Fg4Oqrr6aysrLTbSsUCoKCgmhqapIaHHeF7vYa68r2jEYjwcHBFBYWtrue2+3m/vvv5+mnn+ajjz7iuuuu45dffmHu3Lk+j7W0tBRBEPD39ycrK0tqKC0j09OQjaFu0DphcvPmzRQVFQGep/MhQ4Z0OT6u0Wh4+OGHufbaa9m1axeJiYksXrxYCu+8+OKLnRoxvhDDaaIxMWrUqA7X95VfNGLEiA5FFTUaDSaTibFjx0pJzNu3b+/yfI1GY7sXRDFvSZz/O++8w7Zt27xylDZv3kxBQQFNTU1YrVZyc3MlwzEqKoqGhgby8/Mlj09kZCS9evVix44dZGdnU1tby+HDh8nPz5casorJ6kajkX79+qFSqfjhhx+85hYcHMx1112H1WolNTVV6gM2dOhQnnvuORobG5kxYwY7duxg9erVjBkzhmPHjtGrVy9pvEqlQqfTceTIEa9ti7lOf/vb3/jqq6/QarX06tWLgIAAFAoFWq2WkpIStm7disViwWAwoNVqiYiIoKmpiZEjR7J//37sdruUY3T11VdLBqTD4eCVV15h586dkucHPJ6JxMRE4uLi+Prrr6XzILadGDp0KPv375eSexMTE5k5cyZPPvmk5OkSP7fzEfHci9IHnSGGLD///HNJ96uz9fV6PWFhYdTW1nLs2LEuGZXiXLqTdN3Z9sxmM1VVVRiNRpRKJeHh4dL/Tes51dbWMmXKFOLj4xk6dCh33nkn69evJz8/30vjKC4uTvI2i9cmGZmeiGwMdYOKigrJ42KxWPjyyy+lHkp9+vRh4sSJ3dqeRqNh8ODBxMbGMmbMmBPyMIm0FHvszPPSks8++4y8vDzpYnfppZcyadKkTve3bt06Dh8+jCAIFBcXs23bNqZPn96tOftCfHpsbGwkKytLMoTEHCUxZ0lMEFYqldTW1pKTk8OIESOkvmaCIFBWVsbevXsZMGAAR44ckRJ9bTYblZWVUsPZ/v37k5CQgFarpaKigiNHjqBSqaiurpb2YzabiYiIoHfv3sybN8+r1UdKSgqNjY04nU7y8vL45ptvUKvV+Pn54e/vT2BgIIGBgeTm5jJkyBCefvppSTtJ1DESyczM5NtvvyUzMxOXy0VhYSH5+flSaEqcj8PhoHfv3tTV1VFXV8fWrVsRBAGtVktzczMul4tnnnmG0aNHYzabKS0t5YMPPqCoqEhKNAdPEnZjYyPffvttm6RpsclmZGQke/bsobCwkJ9//pn09PST/px7CgEBAR1WrWm1WnQ6XbcMDkEQqK2t7dK6LperjUCj6KVp2U+sPVrOS9SUOlHjqGVlmVKplDzVU6dOpaysTMoJakl+fj75+fmYzWYmTJjA4MGDUalUDBw4kMsuu4xevXoRFBQk5wzJ9Hg67oYo40VYWBjwa0XUO++8g9FoZOzYsXz00Ucn5MkB+OabbyQhtO56mMDTrkPs5N6/f38sFgsjRozo9MJTVlbG7bffLrWPiIyMpLS0lMWLF7N8+fJ2S4crKyu55557pMaVkZGRksLzyVBZWcnevXtJSEjAYDCQnJzM+PHjGTJkCCaTiZSUFHJzc/nuu+8YM2YMwcHBREVFMWjQIOmJMygoiIqKCioqKlAoFFRUVJCdnU1hYaFUdq5QKLBYLFLVltiyQaxA6927NwcPHpR6UBkMBtRqNbW1taxatQqbzcaKFStYtGgRy5YtkxqLih6Z5cuXc9NNN3HgwAFqamq8KqOam5sl48Rut6PT6SQDGzyegs2bN2M0Gjlw4ACFhYVeOTote6dZLBZqa2txOBxUV1dLKtbg+R5t376dBQsWkJOTg8ViIS8vj5qaGqliTRAESktLpaTY1vsBTzVbVlbWSX+2PZXOGsI2NzdLFX1d3Z6v8Gp39u1yubpkCLVGzN/qiK4maLvdbg4ePMi6deuw2Wz07t3b63vaGovFwtq1a9myZQsul4vi4mKys7Ol6rKuXI9kZM4msmeoG7RUTRYromw2G6mpqfTv3/+EtmmxWHjsscekZNu4uLhueZhsNhtXXXWVdCOzWq2kp6d3WnEG8L///c8rvDFz5kxycnI6rBQDjwJ2VVWV1Lzy3nvvbdcQbJn/09HFsLKykpSUFKqqqggKCmL58uVMnz4ds9nMggULKCgo4F//+hczZszAarViMpm45557mD59OkOGDJG2XV5eTnV1NSqVCoVCQUBAALGxsRw9ehSVSiXpAYlP41qtFo1Gw8CBAzGbzfj5+eFwOKTPw+12o9FosNvtNDc309TUxL/+9S9qampoaGhg1apVbNq0ieDgYBwOB0FBQRw+fFjSY3G5XFgsFnJzc7FYLPz4449SvpOYbxMREUF9fb0U4kpPT5dyhfz9/WlqamoTomlubpYMPrFHl9PplObtcrkQBIEPP/yQPXv2MHbsWMmT1lo1WSwZF8+ZUqnEaDSSmprKTz/91G6PK71eT3JyMgqFgry8vC57Q3oKKpWq06ar3UXsr9cVxHPfFUNLNGJOJk/Iz88Pg8FAc3Oz5MnsClu3biUhIYGUlBQOHDjQoezB0aNH+fDDDwF44403WLBgAevXr2f06NEnPG8ZmTOB7Bk6AcQqp9DQUMaMGeNVESV2We+qINvmzZspLi5Go9Gg1+tZsmRJtzxMGRkZXjchg8HQJbFHsXWEiJ+fH3/+858lL0x7lWJlZWU8/fTTkmchODiYWbNmtVnP4XCwf/9+Lr30UmbPns2cOXM6zCv5/PPPqaqqktqLvPrqq7zxxhvSefzf//7Hu+++S319vZSMPGLECMaMGeNlZIk5G35+frhcLmpqati2bRtNTU2oVCoSExPZvXu3tH5kZCRBQUGMHDmSa665hj//+c+kpKRIpe8Gg0HKGwFPf6eqqiri4+MlD4BGoyEyMlLaxuDBg6XSdFE/yG6309TURGNjo9TpGzwhlYaGBumJvrm5mfLycqxWK83NzahUKm655RZmzJjh87yJmkh6vV7ahpigLercVFRU8OGHH7bbSb3lzdhgMGAwGNDr9ezcubPD0nW9Xo9KpSI/P79DQ+hU9Ck7HYgG46lCoVB02j6kNV3dv8vlOumEaavVSmVlJfX19V7fg8suu4yRI0cSERHR7ti8vDy2bt3KddddR1hYGAEBAVIfvY6or69nzJgxXZZdkJE5W8ieoRNAo9HwwgsvSN3EWyapdiZI2BIx70i8acXFxXHZZZd1eR5iObxCocBsNhMdHc1nn33WpeqzPXv2kJWVRWhoKG63m3fffZfY2NhO1amvueYaKbdAq9WyfPlySf265byef/55li1bRmVlpZdHzVfitChkp1arpSazZrNZ8k45HA727t0reSgUCoXPHC2LxcLLL7+MUqmU9IHEcytqLm3dutXLMyI+yf/73/+mpqYGQRAIDAzEbDZLwpMGgwFBEKQmqAMHDpQMzo8//pjMzEyGDh3KwYMHKSoqYsKECdx44408//zz7Nu3j8bGRpqamtBoNLhcLsk7I4ZUWiYig/cNUq/X8/TTT5Obm8vOnTulcFhLREPIZDLR2NgoKWe73W5UKhX19fWSIarRaHA6ndI+xP5fLcN8YoNUsS9ae9TW1rJr16523wfPd+Tpp5/mySefPKHQz7mCQqEgMDCQ5ubmcy6Z/Ouvv+byyy/nj3/8I0FBQdx7771UV1e38XC53W5effVV9Hq9VATxj3/8g23btvH000+3KQpoyQsvvMDrr79+ug9FRuaEkY2hbtLa4BE1XKBj5eXWiOrKO3fuxGg0MmzYsC6VwbdE3F/v3r0JCAjg1VdfJSEhodNxNpuNpUuXSjfhiRMncvHFFwPtl8SDxwt15MgR6UYbHR3tM2m6vLycDRs2SMaF0+mkd+/e7VaSlJeXc/jwYaZMmUJNTQ2jR4+WDM2goCBeeOEFNm7ciNVqxWg0kpaWxuuvv+51rloqW+t0OrRaLWazGYvF4hUaaplToVAoCA0NJSsri+rqai/Np5YK4KJ2j16vx2q1smnTJrKzs0lISOCvf/0rpaWlXH311eTn52MwGDh48CDR0dHs27dPepoXDQ3RyBTDHlVVVV6VSmLYpKUK9g8//EB8fDz+/v6Ul5dLzUL9/PwkDRelUomfnx9+fn5SmbZKpZIMJdEIUqlUBAcHS8m2FRUV0mekVCoJDQ3Fz8+P4uLiTr9HXcFut7N8+fLzXoVYzOESK7FOVbn+mWLt2rWsXbuWyMhIFAoFJpMJwGfIr6mpiaamJrZv387hw4f5wx/+wB//+Eeys7NZu3Yt+/fvp7m5mTVr1khj7r333jN2LDIyJ4JsDHWTjgyerggSioh5R6LHIjU1VWqX0VV0Oh3fffcdVVVVhISESHL+nZGVlcXBgwcJDAxEqVTyyCOPdEkxe+PGjVJlVUJCAp999plP483lcrFlyxbJFT9s2DDWrFnTrqZQcXExSUlJHDhwQOrKLnajLy8vZ8uWLZIis9PpZPDgwW3O1c6dO6Vql7q6OgIDAwkPDycoKKjd9gkBAQFUV1fTv39/KS9HTKgWBAGr1SolW2s0Gurq6ggICCAvL4+SkhJ27NgBwIgRIyRNocbGRmpqaqSKrpZERkaSlpYm5THt3buXn3/+maNHj0rCi2LyrGicACxevFjyJAUEBEjl8HfddRcffvghBQUFHDhwQEqkFm/EWq2W6OhoLBaL9DmJffOioqIk7ZeioiKpB55YTt+3b19JDb3luetuiwlAavtxviP2r+updCU/qaXm1tixY6mvrycrK8uncVdfX8+MGTMIDw8nPj6ea6+9Fo1GQ1ZWFv/85z95+umneeGFF7j33ntJSko65ccjI3MqkY2hbhIUFESfPn3Iz89vY/B0pLzcmri4OGw2G01NTQQFBfHggw92++n5+++/p66uDqVSidVq5ccff+xSeXtrLaK0tLROx5SWlrJnzx7S0tJwu928+OKL7Ybj1qxZ45UzNXv2bK9Qmtjc1GQyMW/ePDIzM4mPj+eVV16hX79+aDQayXBSKpVSCTp4PA3fffcdNpsNh8PBunXrpIaox44dk7wbI0aMkKq8xL5brYmIiEClUpGZmYnNZsNsNhMbGyslWNfX13Ps2DFKSkqkMJJWqyUmJoa8vDzUajUHDx5k7NixhIaGUlFRIYkV+irXLi0tRafT0djYiJ+fn9R6QyyVF70yovie0+mkvLycmpoa/P39Je0fvV7P1KlT+e1vf0t+fj42m428vDzJmGt5ni0WC5GRkQwZMoTKykp27dpFQUEBNTU1pKWlkZycTEhICEVFRVJO08cff4zT6USn09GvXz+ampooLCyUPEitiY2NpaSkpF1vSE83Ek4l3TUUzyQt5RRUKpWkYN4e27dvJz4+ntGjR7N9+/Z21xNbduzcuVN6bcqUKWzYsEEOjcmcM8gJ1N1A7Maen59PbGwsV111VZt1xDBTZ4ZNQUEBer0ek8mEn59fG62RzrDZbPzrX//C4XDgcrno3bt3t8rbH3zwQVauXNkleXyHw8H777/PwYMHKS0t5eKLL+5QB2nGjBnSNv38/Pj973/vta3ly5ezaNEiFi1axE8//URFRQU//vgj//73v9vs97HHHvPKqVEqlZSUlLBu3TpSUlK46aabGDRokNSaQRRZ1Ov1jBgxgoEDB0rJzCIKhYKQkBASExMxmUxSJVddXR1HjhwhNjaWK664Qrp52Gw2LBYLzc3NxMbGcv/996PRaDh69CgbNmzgxhtvxGKx0LdvX4YOHUpkZCQ2mw2tVuuVPCzmRjU0NHD06FGpU7xIWVkZFRUVkhfI5XLR2NhIQ0MDDQ0NkuE8fPhwZs2aRXl5OVOnTpW6ibdOYhbDbWFhYfzyyy/k5eVJYQ+r1cru3bs5dOgQVqsVf39/SbCypTFmMpm46667OgzfipVxMifPiValdoeKigqOHj1KcHCwpIXVHvn5+Wzfvp25c+dy0003MWrUqC4nxD/wwAOnasoyMqcd2TPUDSoqKti7dy8VFRVkZWVx6NAhxowZ02mitC+USiVlZWWSMdNenk577NmzR0oG1mg0XVasFnNr9u3bx9ChQ/noo486HZOVlcWbb76JzWYjJCREcof7wuFw8OGHH3L55ZfT3NzMyy+/7OVBEsOMFouF9evXU1lZKXVaLywspLCwUOodVl5eTkNDAyqVyqv5ZGRkJAUFBVK7g9ZeBzFMVVdXx6FDhxg2bBjbtm2TDA8xfHTLLbfw/vvvk5OTI4WXGhsb2bZtG2q1mtLSUq9tNzc3s337dpxOpzTv6upqwPN55uTkUFBQgFar9VmpJN5ERAXpQYMGUV5eLnkTXC4XtbW1bQwLt9stlYA3NTURHx9Peno6a9asoaqqitLSUp+VRgqFgsTERPz9/SXtJTG51+Fw0NjYKM3FarVK81UoFKjValwuF7/88guPP/74BePZOVO0F27srN/aqUT87mo0GmbOnMkXX3zRrozCBx98wPXXX89vf/tb4uLiqK+vZ8OGDR1Wzf7jH/84LfOWkTkdyMZQNwgMDKS2tpbs7GzJG9NZorQvysrKGD9+vHQhcTgc/Pzzz93qQSYillGLCY+dsWfPHjZt2kRzczM1NTXs2bOHCRMmtLu+xWJh1qxZ5OXlSTo9HRl+orHjcrkIDAxsI/Im5lWtX7+eiooKKTcmICCAoqIi7rnnHoKDg0lNTeWOO+4gLi5O6qauUCi48sorSU1NZe/evWg0Gp8X74aGBpRKJd988w0Oh6ONaF5zczNlZWVotVpSUlI4ePAgJpOJhoYG1Go1JSUlWK1Wnxd6q9UqaQC1TMZ2u92SCGVjY6PUgBM8FWv+/v4olUoaGhrQ6/UIgkBqairjxo3jtddeo76+vkuJt2Ii9Pr168nKymr35iX2yBowYACTJ0/mxRdfbFO1Bh4DTGwIK+Ln5ycJQ/bksM+5TE86rw6Hg9WrVzNx4kQOHjzYbvjsvffeA+CSSy5h1qxZjBgxQtKYKigo4Morr0SlUvHOO+/wz3/+k8mTJ5/Jw5CROSnOKWNo7ty5pKens3jxYh5//PEO13W73fzzn/9k5cqV5ObmotPpGDNmDH/7299OWC25trYWk8lEVFQUTU1NaLXadhOlxbwYX8ZDenq615N2YGBgt+eUlpbGxIkTpWTtruT9AJIQoNvt7pLOyrZt2ygrK5NyZoYNG0Z0dHS7x2cymQgKCpKUtFufGzGvqm/fvmzevBmXy4VarSY6OhqtVssvv/zCwIEDpdYbffr0Qa1WSxVUYif5xsZGn4aDRqMhKioKp9OJw+EgOjraq80AeLw4VVVV/OEPf6Bfv3707t1byvkRy9Dbe3J3Op1otVr69etHbW0tlZWVXsaEeH5bllcHBQUxduxYqqurOXjwII2NjfTr14+HH36YsrIy1q9fT21tLU1NTdTX17dbgi4mwB48eFDq99QaUUTS4XCgVCp55513SE9Pl1S0u6J/JYblZM4f0tLSOHjwYIeCkJs3b6ZXr16MHTu2wxyh7777ju+++w7w/L9NmjSJ5cuXS9eg++6779ROXkbmTCCcI7z33nsCIADC4sWLO13/1ltvFQDhr3/9q/D9998LX3zxhTBhwgRBq9UK33//fbf2bbFYBEAoKioSBg4cKJhMJiEpKUnIysoS7HZ7m/Xtdrvw/PPPC/Pnzxeef/75NutkZ2dLxwIImzZt6tZ8RI4cOSIsW7ZMOHLkSJfHZGRkeO07IyOjw/Vra2uFpKQkQa/XCwkJCUJFRYXP47Pb7cKhQ4eEKVOmCKGhocLFF18s1NbWem3LbrcLJSUlgt1uF3JzcwV/f39BoVAIoaGhwmOPPSakpaUJ0dHRQlpamrBkyRJh2rRpQnBwsKDVagW1Wi2EhYUJqampwpAhQ4Q+ffp4HYe4qNVqYcCAAcK9994rpKWlCYmJiYK/v7+gVCqldRQKhaBSqQQ/Pz/BaDQKcXFxQkxMjDB27FjhyiuvFFJSUoS4uDhh6NChPvcRGRkp3HrrrcLQoUOF4OBgQaFQCAqFwue6gBAYGCiMHz9euPrqq4Vp06YJISEhQnBwsDBx4kQhLCxMUCgUglarFWbNmiX93XobSqVS0Gg0glKpFNRqtWA0GtscU+v1W5+X+Ph4ITQ0VAgMDGx3rvJy/i9Go1Ho3bt3h+s8+uijwhVXXCGkpKR0ebs//fTTCV3HZGROJ+L922KxdLjeOZFAXVpayp133sm1117bpfV//vln3njjDW699Vaef/55LrroIi6//HLWrl2Lv78/CxcuPKF55OXl0djYKInSWa1WnyEjX+X3LREbsoo88MAD3RZqs1gsTJo0iYceeohJkyZ1ua3Am2++2eHfrdFoNMTFxREYGEj//v0xGo1tjq+0tJTly5fz5z//mQ0bNlBZWcn333/vVV3SMnH62WefZfLkydTX10sqz/Hx8cTFxTF8+HD69u3LkCFDyMzMlEJSohBjY2Mj0dHR+Pn5+SzXdjqdFBUVkZmZSVhYGHV1dV4eML1ej06nw8/PD7vdjsFgoLa2lpqaGg4cOIDVamXw4MFMmjTJS+unJceOHeOTTz7hyJEjaDQatFpthx62+vp6fvnlF/bu3StpGlVXV7NlyxZJ58dut7Np0ybp79aIqtuiR89ut3sdf+sxYpuOlufF6XTyz3/+ky+//JKLL76Y4OBgTCbTea8BJOONzWajpKSEPn36tJtn+NRTT7Fr1y5mzZrFSy+95FMstTVLliw51VOVkTlj9HhjSBAEbr75ZgICAnjiiSe6NOaDDz4A4Oabb/Z6PSAggJkzZ/LTTz+Rm5vb7bmIDUSbmpowGAztVn6IeTHttbUYP368JH2vUCgoKyvrcjNMsd3HunXrOHjwIM3NzRw8eJCvv/7a53qtwyKtW2f4aqXREjFRXKFQcOjQIbKystocH/wqyNiSn376Sfq9pQG1adMmjh07BvzaEPSbb77BbrcTEBDAmDFjmDhxIklJSVIzVYVCQV1dHUePHuXnn39Gp9Mxbty4dlsIREVFsXHjRsrKyqTKLtF4EAULAwICSExMlMQVnU4nRqORXr16UVNTw5EjR9oNKykUChoaGmhsbCQgIEAS2/OFGDYrKSmRStRbHruIr5weX6hUKvr06UNERITUS0yr1Up5Y2q1GqPRKP0ET2iwtLSUe++9l3vvvZcJEyYwbNgwycgCCA0NZeDAgURFRclNNS8ACgsLsVgsXHXVVQQHB7d5/9ixYzzxxBPce++9REZG8tprr3Httddy7bXX8tprrzFu3Div9R977LEzNXUZmVNOj88Zeu2111i/fj0bNmzosAS0JXv27AFg6NChbd4Tb967du3qtsih1Wpl2LBhkphfTU2NzyerzvSGzGYzX375JampqTQ3N1NdXd2lBOyW6tcdJdp21BZk2LBhjB07VtIMGjZsWIf7TE5OJjExkYyMDBITE0lOTm5zfOA5ry17foH3zb2lIGVKSgo//PCDdK5GjBiB3W4nMDCQe+65h+TkZGpqali4cCF79uzBarXidrux2WyScnJSUhIffPCBTy9KSkoKo0aNYuXKldJrogfKYDBQX19PdXU1SqWS8vJyySAQq7kKCwt9NkcFj1Ehav74+fkRERFBdHQ0OTk5FBcXS96YlmN1Op30uXREV3tP+fn5odfriYiIoKKiArvdTp8+fQgJCWH//v2SUrZoRIoGvCAIVFVVsX37dnJycoiNjfVq7VFdXY3FYsHpdBIQECAZU42Nje3OXavVdtopXaZn89lnnzF27FjMZjNfffVVm/ddLheff/45n3/+OVqtlsTERF588UVuvfVWvvvuO1577TUWL17c5bxFGZmeSI82hg4dOsQDDzzAnXfeySWXXEJBQUGXxh09ehQ/Pz+fT7fizbul0mprmpubvZJTRQG9sLAwhg4dSlZWFiUlJaxcuZJFixb5DDN01NYCkCTrAaln1nXXXdfhcbX0rsCv5bkajYYxY8b4XK91tVtubi67du3C6XSya9cucnNzJQOxI1obHa2Pb8GCBUyYMIFx48ZJOjl33XWX1/qiAbVv3z4pgdzpdBISEiKVjMfFxfHMM8+Qk5PD3r17pWMNDQ3F4XBQUVEBwFdffeXTENLpdDzyyCMMGTJEKhnX6XSMHDkSq9VKZmamV5VXVVWVFKJ0uVxkZWXRq1cvySDy1eVdpVJJhlNVVRVlZWVcdNFFNDc3+9SLcjqdBAcHU1tbK3WHP9Gmm0qlErPZLCXxh4WFUVtbi0ajISMjg+bmZq8kWZfLRa9evSgpKfHaZ11dHfn5+V7nUPTCgScMq9frsdlsHc5VNoTOD7Zv345SqeSOO+7g888/b1N0IGK329m/fz/Dhg3j4MGDXHbZZd3qpygj01PpsWEyl8vF/PnziYyM5Nlnn+3WWDEs4gvxKb2jHJ2///3vmM1maYmJiQE8N/TLLruM3NxcCgoKeOGFF05YF6T1jbwrOT8tw1Mmk0m6cblcLq+QVEdhuo0bN0pVUk6nk40bN3a4z6ysLA4cOIDL5eLAgQPthvM0Gg2xsbFSLpRer29jJIoGVGlpqXT8giAwdOhQ4uPjycvL43e/+x3vvPMOu3btoqioSGq6Kt7wRUPLZrP5FH9zuVzcdddd/OlPf+Liiy8mNTWVAQMGkJOTQ05ODna7XRIjdLvdUt6SGG6qr6+ntLQUm80mrdcaUYRRbHgqft8qKyt9nhuxYm7kyJEkJCQQERHRrR50LXG73RQVFbFr1y527NhBQUGBJPfQsgGriMFgkOYgIna0b+8cioitODrKh5I5f3C73axYsYLy8nIMBgMBAQH8+c9/9umRt1gsrFu37izMUkbm9NBjjaGlS5eya9cu/vvf/3Y7f8FoNLb7xCp6Y/z8/Nod//DDD2OxWKSlZdPKwsJC7Ha7FLbJzMzs1txELrvsMvr27Sv9ff/997d7MxURvStLly7l97//vZSjIoZCfK3XWhBSrfZ2Brb821eeUf/+/aWwi16v71AhNz09XTIybTYb77zzjs/1rr32WsLCwlAqlYSEhDB27FgKCwupqakhLy9PUl8ODQ3FZrPhdrulRGrRG6ZSqbjsssvaaDMpFArsdjs///wzeXl51NfX43K5UKlUUt6QTqeT1Hd1Oh0qlYoBAwYQHh6OXq/H4XCgVqul9hutaS1AaDAYuPLKK9vV/FEoFDQ2NlJVVYXBYOB3v/sda9euZdCgQZJsQHepra31Kv0Xk7Bb5340NTVRVVWFUqlEp9MRGRlJ3759iY+Px2g0ehk64oOCzPnDiXymolZWXV0d77zzDmFhYWi1WiIjIzGbzahUKkJCQrrU+kdG5lyhRxpDe/bsYcmSJdx9992kpqZKuifijdZut0s3R19ER0dL4nitEZN8Owph6XQ6AgICvBaRiRMnEh8fLz1Rv/rqq12u5GqJ2Wzmlltukf6ura1t13hoiehdGTduHBMnTpQ6oC9btszL29VeW5A5c+YQGhqKQqEgODiYGTNmAN7VXsuXL5cMooaGBoYNG8bw4cNJTEzsMMl3zpw5Xkbml19+ic1mw2azsXv3biwWC6WlpZjNZvbt28c111xDUlISX3zxBSkpKQQFBaHX63G73fTt25d77rnHS7RRvNkHBgYSFhZGYmIiI0eOlAwWnU5HVFSU1LespqaGsrIyycPR3NxMTEwMF110EWlpaahUKpqbm/Hz86Nv377U1dVRX19Pc3MzCoVCEkrsjOrqam688cZ239dqtajVahQKBbW1tWzatIkXX3yRoKAgIiIiTqiaS6PR+PTYVFdXS945saN9Y2MjarUatVottQEpKChoY9g2NzefkGEm03Npbm4mMDCww3U6+szr6uooLS1FoVBQX1/Pa6+9xptvvklmZqZXv0EZmXOeU1nPf6pYvHhxl3Qt3nrrLZ/jH330UQHwqSf0+9//XgCEgoKCLs+ntU7Bd999J/Tq1UswmUyCXq8Xpk6d2i2tH5H777/f63huv/32bo3/+uuvBZ1OJyiVSkGr1Qpr167t0rgjR44Is2bNEiZPniwsXbpU0v+ZP3++MGPGDGH+/PlCSUmJIAgebaClS5cKgwcPFtLS0oRnn33Wp7aSuO5NN90kKJVKQaVSCcHBwcLGjRuFK664QoiPjxcGDhwoXH/99cKzzz4rrF+/XggICBBUKpUQEBAg7N27V9i+fbtwzTXXCFOnThWGDRsmTJ061UsTR6VSCVqtVjAYDMK0adOE2tpaIT8/X/jb3/4mJCQkCMnJyUJqaqpw8cUXCwMGDBCMRqPg5+cnREZGCnq9XlAqlYK/v7+Qnp4uzJ07VwgNDRVUKpUQGhoqBAQEeH0WSqWyQ+2g7ixms1nQ6/WCVqsVdDqdtH1oqw/U2WIwGKTj0uv1PtdRqVTSttVqdRvNoZbzOhXHJy/n/qLX6yW9rJb/C0FBQcKAAQMEk8kkDBw4sI12mIxMT+ec1hm6+eab2bJlS5vlww8/BOCmm25iy5Yt7bppr7/+epRKJW+88YbX6xUVFXz88cdMnDixw0ajnTF69GgGDx6M0+mkqamJ9evXS13Bu8Ndd93lFaZ64403OHDgQJfHi+Xcbrcbu93O7bff3iUvVUNDA9u3b2f79u28+uqrFBQUdJhn1NDQgMVioaGhgVWrVrFv3z6f2y0tLZW0d4TjHc4LCwvJysrCarVSUFBAUVERq1atYvHixTQ0NOB2u7Farezdu5eNGzeSl5fHkSNHOHbsGAcOHJCUqeHXvBeNRsPdd99NTk4O4eHh3HTTTQwbNox+/fpJLUPmzJkjVVHV1NTQ1NQkhTZ37NiBwWCguroal8slNWFtiaj23JK+ffsycuRI9Hq91EKkdbuR1igUCiwWC01NTdjtdmk/Yr5X6310RmNjIzabDavVKoXrWs9BPE/iZ9Dek/+JeDRlzm1UKhURERFcfvnlXt8b8XsphtxTUlIICQlhxIgRbNq0ifT0dLZv337CuW4yMj2eM2CYnTLy8/MF8Fag3rRpk6BSqYQHHnjAa9377rtPAIS//OUvwvfffy988sknwrBhwwSTySTs3bu3W/ttaVmKXpSKigph6tSp0hOUUqkUXnnllW4fU2svWEBAgJCbm9vu+i1VnK1WqzBs2DCv8W+//Xa764ts375dCA4OFgwGgxAYGCh50HytW1JSIsybN09ITEyU9qHRaNqozdrtduHZZ58V0tLShIiICMmzEhISIowbN04wGAyCWq0WevXqJaSmpgqTJk0STCaT1xPo0KFDhejoaKFPnz7CwIEDhZiYGCEhIaGNByQiIkKYNGmS0LdvX+GKK64Qamtrheeff16YO3eucNNNNwkZGRnC9u3bhbi4OCEoKMjLIyMuRqNR8sro9XovL4lOpxP0er2gVqvbfDbjxo0Trr32WmH48OHC9OnThX79+nXo3TlV3qWOlo68P11dzsQ85aXnLAEBAUKvXr0EvV4vhIWFCYGBgYJOpxMMBoMwduxYIT4+XoiMjBT69u0r7Nq1q9vXNRmZnsI57RnqDsLxXlCty3//8Y9/8PLLL7NhwwamTp3KTTfdRGxsLNu2bfOpP9QVWubVrFy5kjfeeENKWHW73dx3332SxlFXue2227zUqOvq6hg+fLhPL1PrvB6NRsPTTz/t9eT/6KOPSk/87eUBDRkyhNGjR6PT6TAajaxduxabzeYzzyg8PJzU1FSvRrAOh4MxY8Z4yROUl5eTmZlJbGwsUVFRgOezqa6ulirBzGaz1EA0Ly+P2NhYaXxNTQ2VlZVSqbrdbmf48OH8/ve/JyQkxOs8pKamkp+fT0NDA7/88gvbtm3j+uuv56effmLVqlVcddVVhIWFMWjQIMxmM4GBgW0a2dpsNgwGA3q9nmHDhpGcnCzlgSkUCnr37t3mO2W1WsnPz6e8vJyKigoaGhqoqqry6d0RPX6+3jvVOJ3OThu8dsaZmKdMz0CsmqyurpY8p8Lxqs4333yT1atXk5KSgsFgIDk5meTk5LM9ZRmZ089pN8vOA0TLMjs7u01ezauvvtrmqWvHjh3d2n52dnabnBVfXiZfeT1Wq1VIS0uTxun1emH16tXtri9y6NAhYdq0aUJKSooQHx8v3HPPPYLVavU5P7vdLuzatUvQaDRec1y2bJn0fn5+vvDss88K8+fPFx5//HGvHlu9e/cWTCaTYDQahYSEBGHIkCFCr169hKSkJC/vS3h4uGAwGAR/f38hPj5eWLt2rWC324WdO3cKBoNBUCqVgp+fn7Bhwwahf//+gp+fnxAeHi7MnTtXuOWWWwQ/Pz9pn6NGjRKOHDkirFy5Upg5c6bPXma9evUS7rrrLqGiokJYsmSJEBAQIKjVaiEyMlKYMGGClHvTeklKShLCw8OFkJAQQafTSb3OfK17Jhe555i8dLQMGTJESElJEWJiYoTAwEAvb6JWqxUCAwOFyy+/XHj++eeF2tpaYdeuXe1eE2RkzhUuGM/QmSQsLKxNXs3s2bPblP6PGTOGbdu2dXm7SUlJ7Nmzx8t7cf/997fxMvnK6zEajXzxxRf06dMHpVKJw+Hg6aefpqysrMM8oLi4OEaMGCFVe3322Wc888wzPpWGRZXo1ppEI0eOxGazsWTJEkmK/4knnmDRokVs2LCBUaNGYTQapbYWgwYNYuDAgZSXl0vd2a+99lqp07rVaiUkJISQkBASEhJITEzk/fffJyYmhrvuuovQ0FBiYmJ48MEHaW5uJjQ0FKPRiMViwWq1EhwcjCAIqFQqjh07xrPPPsvXX3/Nvn372rQKAU83+T//+c80Nzdz77338vXXX9OrVy9qa2s5ePAgQUFBPnV4iouLqampoaqqiubmZgRBoH///me9x1dtbe1Z3b9Mz6A97ShRcPSaa65h+/btDB8+HLPZLMlNiC1cRMHWESNGyG1ZZC4YFIIg+8c7o66uDrPZjMViwWAwtGmzsWfPHoYPH95m3E033cQjjzxCQkJCl/bz6quveqk2KxQK9u3bx+DBg6XXHA6HzzYfGzduZO7cuVRVVeFyuQgMDGT79u0kJCS02xbEZrOxaNEiPvvsM6m31euvv96urP7u3bu5+uqrJcNCrVbzhz/8ge+++w6j0UhqairPPPMM0dHROBwO7r//ft544w1JwNBoNHL77bezceNGjh07RkREBG+99RZ33XUXe/bsQafTSf22oqOj2bZtG01NTQQFBeFwOLwSfnU6HeHh4SQmJhIREUFqairXXXcd1113HeXl5cTGxkqNWHNycqiqqvJqPaHRaBgwYABXX301JSUlDBkyhPj4eObOnSvpGY0bN47S0lKcTqeX+rnBYPDaFkBiYiKNjY1UVlZ22nTXV3L22cLPz4/m5uZ2ZSpkzj3EsHBLcVNAKi4YO3YsKSkp5OXlERgYiEaj4eDBgygUCkJCQkhNTW2jTyYjc67S8v7dUianNbIx1AW6cjJ37tzp1RJDRKlUcujQoU4NIofDQVZWFuPGjfO6mRoMBvbs2UNSUlKb9VsaOTabjUmTJvHjjz9K66jVavbs2eNlTLXGZrPxyCOP8PLLL+NyudDpdOzatUsa03I/DoeDkSNHeqlQKxQKEhMTsdvt3HDDDTz22GPSRdRisfCb3/yGvXv3olAo0Ol0PPHEE9jtdvbt28fIkSNZuHAh+/fv58orr/TpvenIcPD39+ftt98mNDSUtLQ0jEYjNpuNzZs3M2/ePKqrq1Gr1YwdO5a6ujry8vKk/BqdTkd0dLSUD2EymZg7dy5XXnmllCskPi0nJyezf/9+rFYrZrOZ+vr6Nh408Wn8XPp3UqlUhIWF4XA4qKqqOtvTkTmFmEwmL501rVaL0+nEz8+P66+/nvr6eqndDHhyHo1GI/fccw9Dhw6VDSGZ84auGkNymOwUMXr0aLZu3drmdbfbzd///vcOx4qJzi+88AK33nqrl5u7sbGRQYMGeYXMfCVGG41GPvnkEy+BNafTyciRI8nLy2t330aj0StZuLm5WRrjK2H7s88+85IDEASB+vp6kpOTufXWWwEkFWuz2cy6deuIj4/HYDCgUql45ZVX+PTTT7nvvvuYPXs2RUVFjB492qchJKLRaNooZ4Mnofn3v/89c+fO5aWXXsLhcKDRaHj77beprq6WzkFOTg4rV67kxx9/5L333uOSSy6hqamJAwcOsG7dOqqqqjCZTGg0Gi+hxebmZmpqati2bZvUny4oKKhNMrZ4Hs4FQ0hsPQKeOR87dkw2hM4ROmqd0pqWho6ocq7RaFAoFBQUFFBXV4fRaGTkyJGMHDkSk8lEamqqbAjJXLicrqSl84muJmAJgiDk5uYKN910U5vkxX/84x9CRUWFzzGtE503bNggGAwGr/EqlUrIzs72uX7LxOjs7Ow2JeHh4eHt7lsQPCKMrUvPzWazsG3bNp/7ycjIkOan0WikxGqTySTcd999wvz584Xnn39eKtGvra0Vli1bJvTu3VtK2gwKChLmzp3rJU/ga/H39xfuvPNO4be//a1gNpuFsLAwL0FEtVotiTCWlJQIJSUlwuzZs70Smv38/IRPP/1USjifMWOG1z7UarWg1+uF8ePHC/369Wtz/louffr0ESZMmNCu4KG8yMvpWJRKpaBWq9sUMbS3+Pv7CxMnThSSkpKEgIAAQafTCWazWYiOjhauuuoqYd68ecKuXbsEu93uU1JDRuZ8QU6gPkskJCTw5ptv8oc//MHr9QceeIC+ffv6FFVsneh88cUXs2fPHi9RNJfLxYQJE1i2bBnffvst/fv395kYLSZjt+xJVF5ezowZM7xK4VsSGRnJrl27vMZYLBYuu+wyXC4XWq3Waz+DBw8mLy+PuXPnkpaW5tW645///CdHjx4lIyOD8vJyysrKeOutt5g8ebIksihuPycnBz8/P68n0QkTJjBgwADp7/r6elauXCk1FW1ubsbf3x+TyYRCocDlcuF2u3E6nRw+fBiTycSoUaO46qqr8Pf3x2g0EhMTQ0ZGBvfddx8LFixg0qRJXscvimdu376dY8eO+fRCtTyXFouF2NhY/Pz8vGQROkNsBuvLsyQj0xFutxuFQtGphIIoC9GvXz/69u1LU1MTRqORsLAwnnvuOe68804CAwO9vEDtte6RkbmgOEPG2TmNaFmWlZV1eUxubq5PITw/Pz/h3XffbSNr7+vp7Keffmq3ZNtgMAgff/xxu09zubm5Qnh4uNeYkJCQDj1EW7dubeMVUavVQu/evYXCwsI269vtdiEjI0MwGo1tnkpnzZol/PTTT4Kfn58036ioKMmjYzAYhD59+ghTpkwR1q9fLwwZMkSYMmWKMHz4cOHKK6+UxrVcFAqFEBoaKqSlpQl+fn5SS4q0tDQhOjpaiImJES666CLhyJEjkjDm2rVrhaysLGHu3LmCyWQSVCqV0LdvXyEhIUHQarWCVqv1KTjYkYhhQECAMHXqVCEsLKyNRw0QEhISzronQV7Or0X0Xmq12g7X69+/v7Bu3TrhwQcfFObOnSsMHDhQiI+PF6644grBarVKMhj5+fmyJ0jmgkD2DJ0GrrvuOhYsWNBhDo5IQkIChw4d4vbbb/cqT7VarfzhD3+QvCtifo2vp7O0tDR++eUXwsPD23grGhsbufbaa1m9erXP6qWEhAQyMzO56KKLpNdqa2tZvXo169at89mKYdSoUdx3331e+3I6nZSUlDBz5ky2bt3aphns4MGDWbdunZfwY319PWvWrGHChAlYrVZpvoGBgfTp04eUlBRSU1PRaDTk5eWxYcMGrrjiCim5TaVSMWXKlDYdtwVBwGq1YjAYGDlyJOHh4cTHxxMWFobNZqO8vJwffviBa6+9lp07d6LRaJg+fTr9+vXDz89PqgA7evQot956K++//z5ZWVmkpqa2ycfQaDQ+xTnFDvR79uyhrq7OpxSBw+EgLCyszetnCoVCIbVqkTk/UCqVxMfHt1v1JxYojB49mjfffJMNGzbQ1NTEsGHDeOWVV0hPT5euQ6tXr2bx4sVeQqwyMhc8Z8Y2O7cRLcuWy+zZs6Ucns7Izs4W/P3922zDbDYLkyZNEuLj44VNmza1O762tlZ47733hJCQkDbb0Gq1QkxMTJv2GCJHjhwRQkJCpIakYtPFxMRE4e233xY2btzoJawmenteffVVoXfv3gJ48pVEz860adOELVu2eI2pqKgQhg8fLmg0mnbzbYxGo5Cbmyts3LhRSExMlNZNSkoSBg0aJFxzzTXCfffdJ9x5553C9ddfLzz22GPCzJkzhcjISMlzo1AoBJPJJJhMJuG2224TPv30U6GiokI4dOiQMH78eEGlUglqtVrKI0pISBDWr18vWK1WoaKiQujXr5/U5DQuLk64/PLLhS1btghz584V+vXr1yYfw9/f38trpNPpBLVaLZhMJiEoKEjyColNacX1VCqVEBYWdta8CDqdTjAajSfcDFZeet4SExMj3HLLLV5eWIVCIWi1WsFkMgl+fn5C//79hblz5wrXXHONMHz4cGHWrFleuXuC0HG+oYzM+UhXPUNyaX0XEEvzfJGdnd2m7N0XlZWVrF69mieeeKLd3J2tW7cyatSodnWBKisrWb58OUuWLOnWXCorK1m3bh1qtZrbbrsNu92O3W5HoVCgUqmYPHkya9asaSOwVlZWxjXXXENxcTG1tbX4+/tTX1+Pv78/ZrOZzz77jNjYWK6++mq2b9+OXq8nJSWFX375RZL4Fxk8eDCvvfYaFRUVzJ8/H4fDgdvtJioqivr6esLDw6mpqUGr1dK/f3+WLVtGeno6H3zwATqdDn9/fxQKBZmZmRgMBilfavTo0UyaNImoqChuuOEGDh06RGVlpZRP5OfnR1paGjNnziQ2Npbc3Fxee+01mpubaW5uZvTo0ahUKkwmE0eOHGHfvn1eXrPAwEDi4+M5duwYZrOZqqoqqQWHeHxarZYBAwaQmZl50m0xTiU9Sc9I5uQQc+QEQcBms+F2u1EqlajVaoKDg+nduzcvv/wy33//PZmZmaSkpDB79uw23maxQjQjI4MhQ4bIekIy5z2yztApRDyZvm4uf/zjH3n99de7vK2ioiImTJggqRe37H910UUXcfXVV3d6odq/fz9PPfUUmzdv5tixY12ei8ViYezYseTn50sdzwEiIiL4/PPPGTFiRJsxNpuNn376ib///e9kZGRQUVGB3W4HPCW7a9as4Z577qGyshJBEJg/fz6XX345eXl5PPfccxQXF6NUKtFqtQQHBzNo0CCKioooKSkhIiKCgQMHkpeXR0lJCY2Njeh0OrRaLWPHjmXMmDGUl5dTVVVFWloaN954I4899hgrV66UEkPNZjNqtZpBgwbxzDPPcOzYMW6//Xby8/OlG0ZLA2XSpEno9XoyMzNxuVwMHz5cKjHeuHEjDQ0NUggMPAaF2FMtPDycoUOHsmbNGkl5WkSpVKLT6dqIMcrInArUajVutxuVSuUV2lIoFJLy+tixY7n44oslIwjw+WDVnnCrjMz5yGnXGbr//vv55JNPKCkpOdFNnHPs2bOnTZXYvffe261txMbGsn//fj788EM+/fTTNtsSpfDFaixfDB48mPT0dNatW9fluTgcDhoaGvj+++95++236devn/RkOXTo0DbNGB0OB6WlpWg0Gi666CI++ugj3n//fa/mqk6nk507d5KSkkJoaCgjRowgNzeXO+64g6+++oqNGzcyatQowsPDJU9Nbm4uK1asID09ne3btzNx4kSSkpKIiYkhKCgIt9uNVqtFqVTyySefUFpaSkJCAnfccQehoaFMnToVu90u5Q/V1dXR3NzMjh07+Mtf/sKePXvYsmUL8+bNk/bbkp07d/LAAw+Qnp7OnXfeiclkYt++fSxZsoSvv/6aPXv2eInVKRQK6urqsFgs1NTUEBoaSkhISBuj2O12e2k8ycicKhQKhaS1pVKppFwwsTrRarXidDolz6lo4Phq0gzI1WMyMj44Yc+QUqmUbjRhYWGkpaUxfPhwaYmJiTmlEz2btLYsDxw4wAsvvMC9997bpRBZR2zbto1HHnmEp59+mlGjRkku7KSkJCZNmsSQIUM67A/Ulbn4co3bbDa+++47goKCpB5iHa0vXjgPHDjA4MGDcTqdaDQacnNzCQ0NJSsri/r6embNmoXNZsNoNLJ27VqGDBnCnj17ePrppzl06BDJyclSMqdocDmdTtasWcO+ffsIDg6mV69e7Nu3j/z8fGJiYggICGDp0qVER0eTkZHBqFGjaG5uRqvVMmrUKAoLC6XPplevXnz00UdER0eTk5PDsmXLWLlypXQziIyMZPPmzfTv3x+Hw8H69eu57bbbpNYFrb1/4vdcTGD18/OjpqbGqz2HuN6YMWPIzMz0mZx+utHr9V7ePpnzB41Gg9lsRhAEYmJicDqdHDlyhMbGRgICAujfvz9Wq5WEhATGjBnDggULKC8v56GHHqKqqoqQkBCpTY6MzIXGaQ+TlZaWcvPNN7N+/Xp0Op30tC4aSCEhIYwYMYJp06YxY8aMc/ofsSsnsyPXs5izM336dEJDQzvcl8PhoLCwkHvuuYcDBw5IxoPNZuvyNlpTWlrKokWLqKurQ61W89xzzxEXF9fp+g0NDZhMJpYuXUpQUBBZWVkkJydTWVnJm2++yc033+zlKcrNzeU3v/kNNTU1BAUFsWnTJvr06UN5eTkmk4mcnBySk5MlQ6ilwXXHHXdQU1MjaRmVlpayatUqMjMzvQyygoICrrrqKgoLC+nTpw/p6enk5OTw+OOPU1VVRVhYGB999JF0fA6Hg/379/P0009jsViYPHky9913n/QZ2Ww2pk6dyg8//AB4nra1Wi3Nzc0ABAcHYzAYiIqKolevXvz888/U1dVRX18vHbdY9abT6VAqlTQ1NUlVZ75oHbqTkekIrVaLIAi4XC6Cg4MZNmwYOp2O4OBg+vbty+HDh9s8PNlsNubMmSP9z7asJpORuZA47WGyDz/8kOLiYvbt20djYyONjY3s3LmTBQsWoNVq8ff3Z9OmTdxzzz3079+f5cuXn+iuejy+2mOIVFZWkpKSws0330xKSgqVlZWdbu/QoUNkZ2fT2NhIVlYWP/zwQ7e30ZLw8HBSUlIoLi4mPz+fVatWdVhS21oE0mQyMWfOHGkJDQ3l8ccf9zKEAPr06cOdd97JpEmTuPPOO4mKipLOyxtvvMHQoUOlC3J5eblXSLCmpkZy3Ws0GuLi4rjtttuYM2cOt956q2S8mEwmjh49itVq5ejRo4SFhTFx4kTGjh3LwIEDmTlzppfhrdFoSEtL44MPPmDlypVehpD4/uTJkzEajahUKmJiYrjhhhvw8/NDq9Vit9uJiYkhISGBuLg4AgMD25Q3i8nYdXV11NbWSgJ5Yt7T3/72NykBHDilhlB7if0y5w9ut1sqOKivr6eoqIjc3FxJmPXRRx9FpVKxYsUKVqxYgcPhoKamhsDAQBITEwkMDKSmpuZsH4aMTI/mhI2hV155hSeffFJq6KnVahk5ciTLli1j586dBAQEcPDgQb799lsuu+wyFi5cyKpVq07ZxHsSrW/sLXN9xN5XbrebqqqqNnk+LRGNqv/973+o1Wr0ej3JyckcPny4w22I4ab2DByNRsPs2bOJj48nJiaGzMzMdvORxPUXLFjA0qVLWbBgATk5OWRlZUnGWctGra3H3Xffffz73//mvvvuo6ampt3z0trgaqmiDR6Pzbx587j77ruZN2+epG/0448/YrPZUKlU2Gw2tmzZwg033MD777/Pnj17pORuX3PzlSdRXl5OdnY2QUFBGAwGHA4HmzZtkhJVGxsbyc/Pp7GxkdraWqZNm4bBYABoV8fHbrejVquJjIwkNDSU3bt3SyGsU52ncckll5zS7cn0PFoa3waDAaVSSVlZGYcPH2bVqlVUVVWRmZnp9X8WHh5OamoqYWFhpKamtvn/kpGR8eaEjaGSkpJ2heWGDBnC7373Ox544AEmTZrExx9/zKxZs85b71BHN/bp06cTEhKCUqkkJCSE6dOnt7ud8vJy9u7dyy+//ILD4eCSSy7hnXfeYcaMGe1uoyOvVEuio6MZM2YMAQEBPo2P1rQ0HpKTk0lOTsZgMJCYmEhTU5NPocfW4zo6L60NrtZGgmh0tTbAxo8fT2xsLFqtltjYWAIDA9m/fz/19fVUV1fzwQcfUFpa2uGxtSQ8PJyRI0cSHByMVqvF5XJRVVUl3YCUSiWNjY3Y7XZSU1O57bbbuOiiiwgNDUWv17cRhhS9P3a7neLiYhQKBQcPHsThcCAIwikRudNqtWi1WiIjI7ntttu6HTaV6Xl0JpCpUCjw9/dn6NChmM1mqfGqRqMhJCSkzf9ZZ/9fMjIy3rTfhKkToqOj2bJlCxMnTvT5/pgxY3j++eelv+fPn8/1119/orvrsRQVFfHmm29K3dNb5wyFhoaSmZnZpXwfUVH5+++/x+VyYbFYaGhoIDo6ut1t+PJKtQwTtcxlEhMru1pS23Jsenq6VGJ/4403dikPwWaz0bdvX9LS0hg9enSbfYqGky9EA0zMeRCr3cxmM9u3b5eSoKOioujXrx9Hjx5FqVRKXpuuotFoWLhwIddeey0vv/wyX3zxBUFBQTQ0NKDT6WhoaMBgMEh5TWJ1nZ+fH2FhYUyZMoWbb76ZhoYGnE4nKpVKyjfKycmhpKTklCZUK5VK/vKXv5CZmUlycjJXX321tL8TRa1Wt6tsLHNm6Cx0ajKZUKlU7NmzB4VCQUpKCr169WLs2LHExcX5/N/u6P9LRkbGmxM2hubMmcNTTz2F0WjkjjvuaHMT+umnn7wSSAMCAs67C25RURH9+vXD4XCwdOlScnNzfRoZoaGhzJ8/v9PtaTQabr31Vv75z39is9n48ssvJW9ae9sQvS9iInJL74uvqrCuXhx9jTUYDBw8eNDLW+NLmwg8mkZjxozh8OHD6PV67r//fh588MEuP6EajUbS09PJysqif//+1NTUSE/CRqORnJwcVq9ezZAhQ0hPT+fJJ58kPz+f+Ph4goKCurQPEY1GQ//+/XnmmWcIDAwkLy+PyspKKisrqaurY+DAgZSVlUl5TQsWLKCwsJCjR4/i7+/P8OHDycjIwN/fn4SEBHbu3InVaqW2tpba2toOG792NCe9Xk9zczMJCQm89dZbvP7664wcOZKqqir+9Kc/8cILL5y0IQSdeyVkzi5arRY/Pz8cDofU3qa2tpY//vGPzJgxQ/qfkg0fGZmT4EQlrpuamoRLLrlEapEwdepU4a9//avw1FNPCTfeeKOg0+mEmTNnSuvff//9QlJS0onu7qzSnpz34sWLvSTzFy9eLFitVmHXrl1e7Sq6w8qVKwWVSiUoFApBpVIJK1eu7HSMryavgnBy0vvi2CuuuEKYPHmykJmZKVitVuGKK64Q+vbtKzV+bI+1a9cKRqNROo7JkyefkPS/3W4Xnn/+eWH+/PlSawFfx1VbWytMmTLFqynliWC324UdO3YIgYGBglKpFPz8/ITZs2d7tTWwWq3C5ZdfLgQHBwtRUVHCgAEDhMjISGHq1KnC6tWrhdmzZwvJycle342LLrqow3YLWq1WUKlUQnx8vPCXv/xFMBgMAiDo9Xph06ZNwrRp09q0C5GX839Rq9VCQECAkJaWJiQlJQl6vV5qSRMTE3NS33UZmQuBrrbjOKneZC6XS/i///s/YdSoUdINXFyGDx8uHDlyRBAEQXjkkUcEpVIpPPHEEyezu7NGeyezsLBQukFpNBohOzu7y8ZCe0ZTRUWFEB4eLqhUKiE8PLzDLvO+qKioEFauXClUVFQIVqtVeOyxx4R58+a16VHUGXa7XViyZIkQEBAgaLVaYeDAgUJtbW2Xjb3a2lohKSlJ0Gq1QkBAgLBkyZIT6pLty/BpbSBZrVZh7dq1Qnx8vBAZGSn07dtX2LVrV5e23/p4rFarkJqaKt2MFAqF8I9//MNr7rt27RJiY2MFg8EgaLVaQa/XC+Hh4UJwcLAwbdo04YorrhCmTJki9QRTqVTCpZdeKlxyySVCbGysEBMT49V9XK/XC2+//bawdu1aITc3VzCZTF43RKPRKERERJzwDVWn0wkqleqs39jlxfdiNpuFgICAdj+7kSNHCr179xYSEhKEhIQEISoqStBoNIK/v78QHx/f5e+6jMyFSFeNoRMOk4HHvX7zzTdz8803Y7FY+OWXX6iqqiImJsarE3hYWBh33HEHjzzyyMnsrsch9roSNXfKy8vbJP221+LClwaIw+GgubmZvXv3sn79+m5rColl/FVVVQQHB3PnnXdKoSMx36WraDQahgwZIinbFhcXs23bNqZPn95uaKwlZrOZHTt2SLk9/fr1O6EkTl9hQDE5tLy8nKCgIFasWMHu3bulCryWSd6d5TS1/hyysrKorq6W1hEEga+//po777xTmn9ycjIpKSlS1ZnJZEKn00m5N0FBQTzwwAMoFAr279/P4MGDGTNmDFu3buX6668nOjoag8HAM888w+HDh3E6nbz33nusXr2ad999VwqFiDQ2NhIREdHtcwegUqno168fmZmZJzRe5vQjSjMoFArUajVBQUFSexuA/Px86uvrcTgc6PV61Gq1lOwfHx/fRj1eRG67ISPTDc6IaXaO01XLsqthpF27dgl9+/b18mL4Cgd1l9YhtvHjx59Ud+ra2lph4MCBgslkkjxDJ0J7YbxTMb6kpESYN2+eMGjQIKFPnz7CrFmzhEsvvbRL3jlfn4PVahUmT54sdaTXarVCbGxsm6fvQ4cOCdOmTROmTJkiXHXVVcKqVauEadOmSfs9cuSIsGbNGmHjxo3CkSNHhKSkJMFgMEie0/DwcOGTTz4RIiIihIiICKFv377Cli1bpNAzLbwDRqNRSEhIOOseDHk5/YtSqRQuvfRSwd/fXwBPmMxkMgk6nU5Qq9WCTqcT/P39hYCAACEhIaFdj+upuJ7IyJwPdPX+LWdOnkLEpF9xsVgsvPjii2261LcsVRd/70irqKu0LOMPDg5m6tSp7er4dAWxckvsI3YiAn9dLf3viI56KYkVeFarlaamJrZt28aPP/7YqSYSeD6HpKQkNBoNSUlJkjr26tWrueWWW4iKisJkMjFo0KA2T99xcXFcdNFFHDt2jJKSEvbu3UtQUBCJiYkYjUYuvvhi5s+fz5///Ge2bNlCSUmJVF4vCAJVVVUcO3aMtLQ0qet9UVER27dvl3pRpaamEhwcjNFopHfv3t0+by3R6/UnNV7mV9RAFCdRfdIBbrebb775BqvVik6nw+12o9PpCAwMJCwsjNDQUGJjY4mNjSUlJYWcnByf14pTcT2RkbmQOB3/zxc0RqORESNGUFZWJvUMevTRR8nJySEyMlJaRwzJiDdgMSzlqyqsI1q6wluX8ZvN5m5p7vjCbDZ3qI3UGS0vynv37mXfvn0MHTr0hNz2NpvN65yBx1B66KGHqKur47PPPpNE6VQqlVdJvi80Gg0TJkxAoVAwfvx4aU5ms5kXX3yRhQsXUllZ2W5/uIaGBiwWC/7+/hQUFJCQkEBhYSEajYYjR47gdDopKipCoVAQExNDUVERbrcbQRAICQnhyiuvpKqqSgqH/Pe//5WUhtVqNUePHqWhoQGHw0FWVhbjxo2T2oa0R0JCAkqlkqKiIqnSTKlU8tprrzFw4EDGjx9/wbYCUQPhQDng9PEaPt73tY27gSFABvByB+ueDMLx1kZi2CwyMpLbb7+dYcOGoVar+fjjj6VWNb6uFR1VmcrIyLTlhI2h2bNnd7qOQqEgICCAUaNGcf311+Pn53eiuzvnSE9Pl3I/rFYr6enp/OUvf5HeF40mkZZ5MN3RAWpd/t6yBN/hcLB69Wqv94EzmkcgXpT37t1LbW0tL730Eqmpqd0Wguuo15LRaGTp0qUEBASQn59PcnJyl5rclpeXc+DAAXQ6HQcOHPDSaNJoNPTr149+/fq1O7aoqIiAgABsNhsJCQn89a9/JScnh/DwcD7//HOqqqoIDAxk0qRJXHrppWzbto3ExES2bdvGb37zG37++Wd++eUXAA4ePEhsbKwkP+FyuYiJiaGiogKNRiOJOHaEWq3m//7v/0hNTeXDDz/kj3/8I+DxNgQEBPDVV1+RlpbG7t27u3zezxdaGzEr8Bg+c4GRwJHjy0CgAHgeCD4+zonHQBL/HgL4A6nHf886/l718Z+iMeXL+Ooq4eHh2Gw2GhoayMvLo6SkhLy8PK6//npuu+027rrrLqmXn6//oxO5nsjIXMickq71rTfRuvO3QqGgb9++bN26lV69ep3EdM8OLRu92e32LgkotvQM+fn5eXmGTgRfyZC+Gqq21Bpp/f4TTzzRxjg6kYtkdxMzHQ4H+/bt46WXXsJms/mca2fs3r2bOXPm0NjYiF6v55VXXmHq1Kle++9sXq3f92VMdnV74ti9e/cSHx/PX//6V15++WU2bdpEWloaRUVFFBcXExsby/PPP+91rKJhl5mZiV6vZ+jQoTQ0NFBdXS15fpRKJcuXL+ett97i0KFDKJXKTsUblUoliYmJbN++nRdeeIEnn3yyy+f3fCcWeA6PgdIAFOIxZoYCIcdfrwSqACNQCpiA0OOvHwGagF2AAo8BpQUsQDSgO/57NR7jZwlwCzAK+BF4ia4ZREajEZ1OR1NTk5dOm0ajQRAEDAYD0dHRzJ8/v02fPRkZmbZ0tVHrCXuGKioqmDVrFhqNhjvuuIPk5GQUCgWHDh3iX//6F263m5dffhmr1cpnn33G3//+dx577DFef/31E93lWaeqqooxY8ZQVVVFSEgImZmZ7RpEkZGR5OTkkJ6ezpw5c07aEPJ10+7MFd76faBDteqTmUtHaDQahg4dSmpqKhkZGSQlJVFcXExQUFC7npvWITEx5CUaEO+++y7Z2dle++9Icbe9ebf39NzZcbYem5uby3PPPYfVauXHH3/k9ttvR6fT+TxWMZdJ7Fd27bXXolarCQkJYcaMGdTU1KDVaomIiCAjI6PLeVYajYbi4mI2b95MfX19l8ZcCOiBW4G+eC54W4HfApFAEB5Dxg34AS48Rs7w47+rAA0QBzQCA46P1wMRQD8g6fh+3HgMJyMw7vhPM5CCx9uUATTjMazaM4xsNpvUAqYlTqcTpVJJc3MzRUVFfPDBB/zud78jLi5OrhqTkTkFnLAx9MwzzxAVFcW7777r9fqAAQO44oormDdvHh988AGPPPIIQ4YMQa1W89prr530hM8m33zzTZuGqR0pS0dGRnqFxnzRlQtZey03OnOFt34fOOk8gs7af7SHOJeCggIWLlzIG2+80W5Lj/ZCYunp6WzatIl3332Xpqambu2/o3Poa3xXjrPl2JycHJqamnC73TQ3NzNmzBiGDBnCPffc0+ZYW7Ya6d+/P4sXL6a4uBg/Pz+GDh3Kxo0baWpqYtasWZ0el0ivXr2wWq1ERETw+eef88knn3R57PmMGngI+B0eY0cHTANEvXwHHk+PAOzBE/Kadvw1FR4vUh0eo8aEJwzW5/hr9UD88XXB0+hRLDFIPb5N1fHlXcAG5AFfAv84vi1oaxw1NDR4HYOYA+fn5yd53EVV89YeyoceeqjD0LCMjIxvTria7N133+XGG29s9/358+fz1ltvSX+PHz/+nK9ouPTSS7vcdLUrdLXSqrOGp+1VWrV+/1Q0b+xoLg6Hg9LS0naPQ6PRYLFYyM7O7rDaKyMjg4yMjDbrGI1Gpk6dSlpaWrer5Dqa94ms3/pYJ06cSN++fTEYDPTt25fJkydTW1vLgQMHfB6HWHE4d+5c8vPzsdvtVFVVSTlE3UGr1fL8888za9YscnNzeeONN6isrJTej4uLY8mSJRek1yAcj8Fix5PnY8Lj5el1fDEC1uPvRwLHgMN4DJdsYBUej4/p+KIDAoAYPF4hFR6jR6QZz0VVNKY0x//WHh/fH5gHfAOsAT4E7qHjp1Ix4T02NpYbbriByZMnM2fOHKKjoyktLeWHH35g7969vPPOOyxatKjdJsoyMjIdcKK1+3q9Xli9enW773/66aeCXq+X/l61apUQERFxors7q7TUKWip8HyydKddxslq9ZxKfM2lq7omnWkx2e12YenSpUJ0dLQQHBwsXH755T7XOZFz0d1x7a3f8lifffZZIT8/X7Db7UJtba2wdu1aSY+ps2OtqKgQQkNDJY2Z0NBQYezYsV3WpDkZVeoLZVGDcB8In4JQA4ILBHeLxQWCAwQ7CA0gHABh3/F1q0CoBKEJBOfxpfXY1q+1fN3XvupBsB3fXyMIJSB8DsIoEPQgRB2fc+vjUCqVwqRJk4Ta2lrpO2m324Vnn31WGDx4sBAUFCSEhoYKcXFxwmOPPdYjrhMyMj2B065AnZiYyLPPPsu4cePaqOPW1tbywgsvSCGEgwcP8sQTT5CWlnaiu+sxdLXpalfoTvlrT+pA7WsuXQ2f+ZIVaL2dAwcOMHz4cFwuF8uWLWuzzomei+6O6yyEVldXx6pVq9i1axdjxoxhwYIFTJ8+XfIahYeH+zxWMR/q559/pqamBvAUGdx22208/fTTXvvvKF/oRBrAgifsMmjQIDIyMk5o/LmGAkjE49FR+HhPDGcZ8CRaW/F4dPTH3xfHiJZJy234cq0raLsf8XVji/fUeLxRJuANPInXDUAF8BgeLaMsPInbgiCg1+vJycmRpCkKcnLI+/574qKjOXr0KFarFZVKxeGDB8lav57k3/wGjRwyk5HpEidsDD344IPccMMN9OnTh9TUVKKiolAqlZSXl/PTTz/R3NzM888/D8CiRYvIzc09p5OnTwfnU/lrdwy71rICHW0nLi7uNM34xBHnuGPHDsCT3CoagOHh4W0Sr1sea8t8qH79+hEcHEx1dTUhISEUFhZ67cff39+rNUhrUlNTKSkp6fb83W73BWMIhQMjgEB8GyiAFOZS4DGAtPg2aDr7uyv42oYJT0l/Uov9zsVjHOXikQQ4LAiUl5by6qJFmPv359FHH+Xw3XczY/t2ftHrKYuKoq6xEcFuZ/yePdT9+CNbevdmzMcfY+xGSx8ZmQuVEy6tB1izZg3PPvsse/bsweVyeTaoUJCcnMzdd9/Nn/70J2m9qKgoxowZc2pmfYbpamnehc6pqmrxJa7Y0xC9P6tWrZLE70TDtiO5g5YSAQaDgRUrVnD06FGmT59OZWUlAwcOlNZ97rnnuP/++9udw0UXXcSLL77IihUruOGGG8jLy+O+++6jvr5e+n+80FED9+LJy4mgrTHixlM1pvbx3pmgpaeptdfJhSexOg94D4+nKArYqVSSN3Qojx84gLmpiXq1ms+nTeMXo5F4Pz8mb9hAr7Iy9C4XeePGcdFXX8keIpkLltNeWg8wY8YMZsyYgdPppKKiQlLW1el0bdaTOf85FaE8h8PBihUrTloL6XSj0WiIi4tj4cKFXgZgZx6ylhIBffv2JS0tjebmZsxmM6GhoWRnZ/PCCy9w7733SvpCYgKtQqEgPDycmpoaNBoNJSUluN1u/vOf/wCeIoXa2lp27NhBY2MjQUFBvPPOO9K+tVotdrv9zJ2kHoAT+ACYiccYao2Cs2cIiftv+buAd+hOiccAWoBHBsAFJLjdLM7Px+1y4ScIBDsczFi7lkHjxjE+PZ2fDh5EX1JCk1qNtqSEyqwsIrvQXFlG5kLmpDxDLXG73SgUCkmI8XxC9gydOToTkjwX6MxDZrFYWLx4MceOHaOhoYHAwEAvVW5xvE6n46KLLiInJweXy4Wfnx+hoaGEhYVRVVVFSkqKlzRBy3PncDj4/PPPz/Sh90jUeHJwHuEkymfPIK09RG5+NY7Ak0P034AA+sXFMTojAyMeI+mwRoPpu+8ISUpix9VXY8jPpyk1lQkffSR7hmQuWLp6/z6pa8PBgwe54YYbiIyMRKPRoFariYmJ4U9/+lOnrQNkZHzR3RL4nkhncgcNDQ3U1NRgsVjIysqiqqpKyjlqKbewcuVKvvvuO+bOnUt4eDg6nY5Bgwbx5ZdfsmrVqjYaTS3Pna//P/FBxWg0EhIScnoOvgeiBqZy9rw/3cVXXpGqxd9KYLBKhdLhwM2v3q1AhwNHYyMaoxGF2YygUOBqbGT7K69gadUsWkZGxpsT9gz98ssvjBs3joaGBmJjY6Wn9+LiYkpKSggPD2fnzp306dPnlE74bCB7hs4s57uibkuhvNraWi/PUOuco7vvvpuXX36Z2tpaqbquf//+HW67vLycY8eOMXz4cOn1uLg4ysvL8fPzIzo6GpVKxfjx49m8eTP79u07E4d91pgAfMf505XajactSIPBwJDGRkLwiEfm6/WYvvkGtcFA7pw5qOvriamowAXk+fkxPCcH80ko4cvInIuc9pyhJ598krCwMKkXU0t+/PFHrrvuOp588kn+7//+70R3IXOB0pNkBE4HLasIg4KCvBputs45Sk5O7lZ1nXjuoqOjycjI4JlnnuGhhx4iNjaWbdu2MWrUKC+F49ra2vPeGOrP+WMIgccYCgZCGhtR4mkB0gRkmM1MjoqisawMZ2Iiqp070eMRlOxjtbL3/feZeO+9Z3HmMjI9lxP2DEVERPDcc8/x+9//3uf7b7zxBo8//vgJlf72NGTPkMyZxFdD2dPhKRM9VB9++CE7d+48ZdvtafwHT9PU8wUBjyfIhsfQycATKqtRq4kOCACNhsY+fQi75x4q//Qn+litHFCp2L9oEX997LHz0tsqI9Mepz1nqLq6mvj4+HbfT0pKoqKi4kQ3LyNzwdI656izHKSTYebMmVIPwfMRNXDuS716I+YI+eFpMdIHT6VZuNNJYnU1g44dI/XHH6l89VVCvvqK50aM4M2pU8kuLDznWyLJyJwuTtgYCgoK4vDhw+2+X1hYSGBg4IluXkZG5jQieoUWL17MqlWrmDJlClFRUWd7WqeccOB8DLgq8ahk6/CINkYACXgUrg3iz5wcFDk59JsxA9Px8Ou5WJAgI3MmOGFj6OKLL+bpp5/2aRAdPHiQJ598kokTJ57U5GRkZE4NrRvLtm4p8vLLLzNgwABCzzO14nLg3A/Ut48SCON4af3xn6LnKKKigrq//Y20bdt44tFHuePWW6nctw+HzYbNYmHfunXYLJazOHsZmZ7DCecVLl68mDFjxpCYmMjQoUOJiYlBEASKiorIyMjAZDLx5JNPnsq5ysjIHKc7eUSiF6ilkGXrliJut5uIiAhcLhfZ2dleXe/PZZx4PCjnM2o8BlEFYMFzvCo8Yo2usjIqXC7s2dns+MMfMOTnk5WSQmFJCeaSEnbHxPC77dsxms1n8QhkZM4+JyW6uG/fPhYtWsTGjRtpamoCwM/Pj8suu4ynn36axMTEUzbRs4mcQC3Tk/Bl3HRkELUnZNm6pUifPn3Iy8ujqqqKgwcPUlBQAIBKpTpn23uEAkc4v6rJ2kMAqvHkEmnxVJ01AEe1WmxGI3G1tSiBCpWKXLUaAWjSaOiXns7Q6dPP3sRlZE4jZ6Qdx9ChQ1m7di0ul4vKykoUCgWhoaEoleeCzquMzLmJGOJqaGiQxBo7kiJor0VI65YiQUFBUiuUwYMH89///pfq6mqUSiVTpkzh66+/brNtrVaLWq0mODi4R1aOzufCMITAEx4LwuMdUuAJodmBOrudPnY7WjxGUpjLRY1KxRG1mtqYGPqPH3/2Ji0j00Po1nWiqKio03VaXxBjY2O7NyMZGZkO6az/WWta6hr5CquJ+kbl5eXccccd1NTUYDKZ2LFjB1u3bsXtdvPtt9+22a7BYECtVqNQKLD00NyTC612SoknoVqJxyAKAQL5tf+acPz3aLud2vh4Lvn2WzQaDWW7dxOanCy37ZC5YOmWMRQXF9et3mMKhQKn09ntScnIyLRPZ8ZNe2Pa8x75CruVl5ejUv3aBMLpdKJQKBCj6jqdDo1Gg9FopLGxkbq6ulNzcKeYGtr2+jrfaf1tULX623j8tT4HD5L75ZdY/vtftEVFZMfEMObjjzGeZ0n0MjJdoVvG0Pz588/LRqwyMucap1Kl21fYLTw8nClTprBnzx5sNhtms5nQ0FCKi4txOBySYWQ2mzl69OgpmcfpYDAXliHUmtaGoPi7BogHjt1yC5F4jKPmkhJ2jRtH6oYNmGWPvswFRreMof/+97+naRoyMjJni/bCbvPmzWPq1Kk8//zzNDY2EhMTw/vvv09jYyNOpxOVSsXBgwfP8uw7pmf6q84cvgxBRYslGk/FnRJocrkIysnhwNChpOTkyB4imQuKCyW3UEZGpgViab7YG+2OO+6gsLCQnJwcLBYLK1euZO/evZSVlfHzzz/jdDppaGjA7XZL27BarWfxCLpG1tmeQA9F0eKnAk/lmRKPYRReV0f+unWkzJ9/tqYnI3PGkY0hGZnzGF96RGKO0N69e6mtrSUwMJDExETeffddSkpKiIyMZPjw4VgsFg4dOoTD4cBut3sZQucK0872BHooYr2vi19vAg48OVZHQ0IwJyZSvGMHEUOGyEnVMhcEcg28jMx5imj0LFq0iOXLl7dRn66qqiIrK4uqqio2bdpEUVERDoeDI0eO4OfnR0hICIMGDSI6Ohq9Xu9zH6GhoUyYMIGBAweeyUPrMivw5M3ItMWNd8jMCBSr1Xw7ezZfzZzJvmnT2DBxIpaysrM6TxmZM4FsDHUDMZlURuZcwFdiNPyaIxQSEkJycjIhISH85je/ITY2FrVaTVRUFEuWLGHJkiWMHDmSoqKidkvnKysrueuuu3psErUY+pFpixrvSjMFMMTpZNDrrzOotJQ+tbUk7t7NxsGDqczLO0uzlJE5M5yUAvWFgqhgGRcXx6BBg0hPT8cou45lejgdKVW3zhkKDw/HYrHw0EMPYbVaGTFiBDNnzuSWW25h8+bNHSpQG43GHvuQMBL4gbbl5TK+EfCEzgQ8go1ir7NcPz8SsrLkKjOZc46uKlDLnqFu0NjYSFZWFllZclqmTM9H1CNaunRpm5YdYmm+0WgkOjoajUZDc3OzlB+UkZEBwKRJk/Dz80Oj0bQbKuuphhBAztmewDmG2ORV9Brp8JTh97da+XnMGDLXrMHRgz9vGZkTRU6g7gYGg4Hk5GSSk5PP9lRkZLpEd/SIWpfYR0dH8+CDDzJz5kyys7OJi4ujvLyckpIS4uPjWbhwIfv37z/NR3ByDEf2Cp0ICkA0fcXQwZiyMqpnzmRHRAT91q4lMi3tLM1ORubUI4fJuoDoZtu4cSOjRo2SQ2Qy5y0dVZ+1Drd99dVXTJvWs+u1Fh9fZE4eB78+PdcD38+fz8XPPIM5MvIszkpGpmPkMNlpIC0tTTaEZM45xO70YjVZR4ieJI1GI40rLS31mYjdr18/IiIi0Gq1BAUFne7DOCHkDJdTh4pfK88CgMvffpvSqCgO+GjgKyNzriGHyWRkzmM6SqJuuU5H3qCUlBSSkpLYs2cPSUlJOBwOHA4Hffr0YcGCBWzbto0xY8ZQWFjIG2+80e5cWvY2O1PIF7hTR+snZwUwEGj87W/5bv58hi9ZIidYy5yznFOeoblz56JQKHj88cc7XG/Tpk0oFIp2l9tvv/3MTFhG5izTXnm9SGdaRA0NDezfv19Sn962bRuPPfYYy5cvB+C+++7j3//+N/PmzSM7O7vDuZyNiHzIGd/jhYcBuPjtt6nt04cN115L5YEDZ3tKMjLd5pwxht5//33S09O7NWbx4sXs2rWrzbJo0aLTNEsZmZ6FmBRtMpm8+o6JdKZFZDKZiI+Pp6ioiMbGRrKzs6mqqmLv3r3s27cPgOjoaKKjo5k6dSparfaMH2NHfHq2J3CBoMITkrzkk09QDxzIntWrz/aUZGS6xTnhRS4tLeXOO+/k2muv5eOPP+7yuLi4OEaMGHEaZyYj07MRy+tbh8FE2mvS2nJcUFAQK1asYO/evSQnJxMQEEBtbS3Lli0jLi6OG264AaPRyP33388111zD1q1b2b59Oxs3buTIkSNn47Al3gdeQ64oO1MoADPQd9Ys1l58MTq1mpTnnpMrz2R6PD3eGBIEgZtvvpmAgACeeOKJbhlDMjIyHZfXd2QstRx36623sm3bNkaNGkVBQQHLli1j3759fPXVV7z55ptERUUxZ84cFi5cSGhoKD/++CNxcXGUlZWdlfCYiBOPcKBsDJ1ZzMD0778HwDZ8OAe++IKkyy8/u5OSkemAHm8Mvfbaa6xfv54NGzbg7+9/tqcjI3Pe0ZkWkc1mY968eWRlZZGcnMw777xDQkICW7duxel00tTUhEKhYNeuXZJRNWTIEJqbm8nOzqampuYMHo03g/GIBsqcPYxA0BVXsH7YMFzjxzN20SK5HF+mx9Gjc4YOHTrEAw88wJ133skll1zS7fEbN27kN7/5DSaTCYPBwLBhw3jttdc6fVJtbm6mrq7Oa5GRuVARVddFBfacnBweeugh5s2bR0JCAkFBQURGRjJy5EjJu3THHXeQkJBATEwMZrMZtVqNWq3GbDajUCjO2NyrztieZDoiHJjy889c+sor5EZFUdbDxTplLjx6rDHkcrmYP38+kZGRPPvssye0jR9//JH58+ezYcMG/ve//+Hn58edd97J3Xff3eG4v//975jNZmmJiYk5of3LyJwI3dEFOhPz6N+/P8nJyRgMBgYOHIjZbEaj0fD444+zZs0aNm7cyOrVq1m4cKEUZisvL2ffvn1UVFTQ1NSE2+1GpfIEq86kh7cIyD9je5PpDAUwFCgbOxZbZSUOm42y3bvlFh8yZ50eGyZbunQpu3btYvPmzd0WOhw3bhxlZWUEBwd7VbdcffXVjBgxgtdee42FCxeSkJDgc/zDDz/MvffeK/1dV1cnG0QyZ4Su6AKdjXm88847ZGdns3HjRp566ilpbnFxcT7Hrlq1irKyMhQKBWazmcbGRtRqNb169aJ37958//332O32034cvwXiT/teZLqDEgixWjm0ahXV77+PtqSEg4MGMT49HY0saitzluiRxtCePXtYsmQJd999N6mpqTQ0NAC/NoS02+00NDSg1+tRq9seglarJSIios3rGo2GmTNnkpGRwe7du9s1hnQ6HTqd7hQekYxM1/BV6t7V3mKncx4NDQ3ExMRw4MCBTudWXl5OZmYm0dHRWK1WYmNjGTx4MP379+fLL7/k2LFjZ8QQAliBxxsh03NQ4Elor37rLRJ+/pkmlYoKoDIri0i5+lfmLNEjw2SfffYZDoeDl156CX9/f2lJSUkBPGEsf39/3nnnnXa30dzc7PN1q9UKeJquysj0NDrTBTqb8+jq3MLDw0lJSaGgoICKigpKS0vZuHEjr776Kj/99BMWi6XNGJVKRVRU1Ck/jjv4tdGoTM+hQqdDX1pKk1qN3uXCHhmJs7FRDpfJnDV6ZKPWoqIiioqK2rx+9OhRrrvuOm666SZuvvlmBgwY4POCfMMNN5Cenk5WVhYDBgyQXm9qamLIkCGUlJRQXFxMSEjX9Gm72uhNRuZU4Ks9Rk+ZR1fnVlBQwF//+lcOHTpEXV0dBoOBuro6lEol0dHR7N+/n8bGRsBjCPn7+xMVFUV2dvYpL8W38WsHdpmeQSlwcPx4tKWlNAQFodVo0B07hj02ljFr1mAMDcVhs1GZlUVocrIcPpM5Ybp6/+6RYbLY2FhiffS4KSgokN6fMGECAJs3b2by5Mn89a9/lRKt7733Xj777DOmTp3KI488wsCBAzly5Aj//Oc/ycnJYdmyZV02hGRkzjSdlbqfzXl0dW7R0dGMGzcOo9FIdHQ0e/fuZdeuXajVaqqrq73CZGq1mqamJsrLy9Hr9ZKRdKrYDkw6pVuUOVmiAfe2baRPn07gtm1Ms1jQAerCQnaMGEHMyy9T8vLL6PfuJU+jIeDvf2fgrFmAJ5xmDA+nZNMm4qdPxxgaelaPReb8oEcaQ91BEARcLhcul0t6bfjw4ezcuZOlS5fy2GOPUVVVhb+/PyNGjGDt2rVMnz79LM5YRubCYObMmcycOROARx55hNDQUCwWC+Xl5ajValwuFxqNBrfbjU6nw2azYTKZAE6ZQaQGkk7JlmRONTHAJevWkQD482vOxqTCQmqvuoregPb46/Ybb+THO+/EHhaGqaqKEJsNk8tFptnMgH375AaxMidNjwyT9TTkMJmMTNdpXYl2xx138Mwzz/Duu++i1+upra2loaEBQRCIjo7Gbrfjdrvp27cvY8eO5b333qO4uBin03nSc4kC1uPpri7T83DQfVFM8YZlx6Mw/lPfvsT861/EjB8vh9Nk2nBOh8lkZGTOXVpXotXU1PDQQw8BkJeXR01NDW63m+TkZLRaLfn5+fj7+/Pwww+zZMkSmpqaMJvNADQ0NLQphjAajbjdbpqamjqfCxB4qg9Q5pRxIhlxYnWgFk9V2sjDhzl66aVsSUpi+Ndfy14imRNCNoZkZGROKe01f7355ps5evQor776KjabjeLiYtxuN4cOHcJisbB+/XrKyspwu92YTCauu+46ioqK2LRpk1eOkdPpxGQy4XA4vMLjvnACNYDc/OH8Q4HnBqYG4oDYAwf4JTERxb/+hbuhAVNsLPqgICLS0mSPkUynyMaQjIzMKaV181dACpulpKQwePBgMjMzSUlJoaamRjJ2GhsbEQQBt9uNMafbbgAASNFJREFUw+FAq9Xy7rvvsmvXLm699VaOHDkCgNvtpq6urlNDSOQd4GlkvaHzGVG7aEhTE9Y//AEF4AaKVSpyRo1i+AcfYCsvlyvTZNpFNoZkZGROCWL7DvBUk4lVZ6WlpVLYLDMzkyeeeAKNRkN4eDg5OTl88skn1NfXAx5BVafTiUKhYN26dYSEhHDzzTczbNgwysrKEARByiVSKBRtyvCVSiVutxvwVKk5nU4mIBtCFwoKwIQnr0gBJLlc+G/fTn5KCk0GAwciIxm8Zg0NbjeqqipC+vXDUlAgG0kysjEkIyNz8jgcDpYtW8aqVasAmD17ttSrrHXYLDo6Go1Gg8Ph4IsvvsBoNKLRaJgzZw6//PILOTk5lJeXo9PpyM/3dBbr27cvSqXSyxuk1WpRKBRS7pBCocBoNEqK9WI/tOddLqbR1iBy4UnglTWIzj/Ez1oJRAARDQ3Q0IBQUcHugQPZHRJCQlMTQSoVdoMBYehQLlq1SjaILmBkY0hGRuakKS8vZ9euXZSXl6NQKKTfRcOnZdisZTPXzMxMYmNjUavV3H777Xz22WeEhoZK66amphIdHc2SJUvYt28fO3fuxOFwEBISQlJSEnl5eTQ2NhIXF0diYiLff/89jY2NktEUEBBArlbLv6uquNLpxB9PGbcbqAZqgX7InqPzGTW/fr4CkOpw4Dx6FAeevnVZQKPNxtGMDGLGjJHG9RTxU5kzg2wMycjInDTh4eGMHDlS8uSMHDlSyhdq76bS2mMUFxcnGU1BQUHU1NRIY8xmM19++SV79uzB6XSiUql4/fXXCQ4Oxm63M2TIEIqLixkwYABGo5Fjx47Rq1cvjEYj/v7+VP7pT1THx1O4aBEDjx7FDAQBoh9ADKvInH8oWv1uBCbwa4m+Afi33U5AQwMRDgcajQabzcYzzzxDTk4OvXr14tFHH6W5uVk2jM5jZJ2hLiDrDMnIdE7rnCExFNZSc2jBggUAXsnVXX36bmlUwa9J2X369CE/P5+GhgaKiooICwvD6XTi5+fHTz/9hEKhICgoiHf+8x8ar7qKPuXlhOCpNNPhCZWp8W7UKBtHFw4C8Hvgi4AAbr31Vh5++GGeeuopPv30UyorK3G5XJKXcty4cVL4V+bcQNYZkpGROaNoNBri4uK8XmutOVRaWsrq1au9jKOutPfwZVS19CKtWLGCHTt2oFAoMBgMUml+cXEx+fn52Gw2Pvz3v7nUaKTYbEZvsRDAr+XZDUDLy+QxPLkmMuc/CuBhYE1dHS+++CIbNmzgyJEjNDc309DQgEqlorCwkMrKSoqLi5k9e3ab77nMuU+P7FovIyNzftC60z3gZRyVl5d3aTuiUVVXV8eOHTsoLS2V+qQZjUYWLFjAc889x+zZswkICCA1NZUpU6Ywbdo0AgICiIyMpLCxkYZ+/WgKCWF/r14I/OoBKsWTUC1ixqNwDNDMryEVmfOTgcAIPEn3GRkZVFZWShWOYv5ZY2Mjzc3N2Gw2du/ejcViobS0FIfD4bUt0UPa+nWZno3sGZKRkTlt+NIc8iXI2BJfOUbh4eGkpKRI1WqrVq3yCleIXqmFCxd6jX3kkUdQqVTk5+czNDWVibfeiiUnh4oDB2j+/e/R4zF0VCoVWWo1Sc3NKPGEz+qBKqAoKIiQmhri8WjZnGqakCvazjYCnhyyjnC73YSHh3PzzTdTWlqKv78/w4YNIy0tTQr/lpaWsmrVKjIzM4mJiUGhUPDHP/7RZ+NxmZ6FnDPUBeScIRmZU0dHVTq+wmHiOgUFBdx///04nU4CAgJYunRpl0NsrffnsNn4fsIEBv38M7UKBVUREZhffBHHLbfQ/3hpfg2QbTIR+txz1Hz4IYkbNxIoCBjwnU/kwHNT1R7/u6t5RwKe/CU5C+XsIQCjgd3dGKNQKIiPj6dv374sX76cdevW8cMPP5Cbm0toaCjfffcd4NG7WrFiBdddd53UZkbmzNHV+7ccJpORkTmjiOEtX0movnKMxJBDdHQ0Y8aMISAgoF2vUkt8JXRLczAaGfvNN2ROmEBFnz7Yhw9nwBVXEJ+ZybakJA4C5UolWQEBBE2ezEWff07z11+T/fe/U4CnNN91fBGO/3TjCa05jv/e1TazYt6SzNlDAdzfzTGCIHD48GE2bNjADTfcwNatW9m9ezdFRUVs2bJFWs/pdPLHP/6RQYMGUVRUdErnLXPqkD1DXUD2DMnInBlaeoZSUlIAyMzM9FmJ1lFFT0ceJq/1bDYqs7K8FIhtFguvLlpEbl4e/SdO5J777vMaW7Z/PzsnTcJksTDa6cSAxyDKUyrRA2FuNyo8BpICT+n2iSJenOXKttOLAMwAPj2JbYiK5yqVCqVS6TNnSK/Xs2nTJkaPHn0Se5LpDl29f8vGUBeQjSEZmTOHGNZyOBwsXryYhoYGTCZTl8Ni4MndWLRo0QmNbTmH9owum8XCpj//mYvee0/KO9odGoqg1xNx7BiBDoeUeB2Jb2OmK2G0HDxVbaYurCtzcnwLTD1D+9q0aRMTJ048Q3u7sJHDZDIyMuckYhgtOjraqxKts7BYS1pXsXVnbMs5tOdNsuTkMOqxx6hQqxHwJEELOh3N8fEUR0TwUWgoT6WkUIB3lZqApzqtHo/6dVMHc7ACvfCIBMqG0Oln+xnc16RJk1ixYgWrVq3CYrGcwT3LtIfsGeoCsmdIRubscDItEU5HOwWHzca2OXNQZWXhSk4m8YknODR3LqqmJpxDhzLqrbc4un8/H330EdmVlYzfvZtZhw/jD5LRVKFWU2k0onQ66W+z+fT6uPAYS2Z+7cgucr4IQva0EGAFHuPzTBMTE0NcXByhoaEsXbqUpKSkszCL8xdZdFFGRuacR/TQnOmx7VGZlYUqKwt1YyNkZYHbzbi9e6W8I4CiF15gbGYmgxMSGLd1K4UbN1L+0ENElJWhVqk4Mno0ftnZRNXVocKTbN3a2HECDUolGrcb4/F1FK3W6SlGxImiAC+tp7PN+2dpv8XFxRQXFwPw8ccf87vf/Y733nvvLM3mwkUOk8nIyMh0kdDkZFzJyTgNBlzJyVLideSIEWiMxl+NpaYmTIcPYystZcj11zPxwAHMGzfit349/Z96CofRyFGTiXo83iLb8Z9OPMZBHZA3ejRVKhVuPCGzZqAcOKDRcL7UJCnoGYYQwDVnewLHef/994mPjycpKYm1a9ee7elcMMieIRkZGZkuojEaGZ+e3qYCTSQ0OZmDyclwPIwmeos0RiMxEyYAYKus5EhjI6GNjRQFBqJ1OAhubMStUKB0uRCUSkoiIwm76SaO5edjPN5Y1gIc9fOjITiYMoOB0EOH8DuBYxC9TD3FCOkp/OMM709sHWOz2dq8V1BQAMAVV1zBF198weWXX36GZ3fhIRtDMjIyMt1A9AS1915HxhKApaAAh9FIuduNU6PBaTBgNxhwGI3Yg4PR1NbiHDSIftdey4+ffUb+7t2EVVVR6+dHr7o6HA0NBJWX08CvydWtw00dGTpKH+vLnPmbYVxcHC6XiylTpvDFF1+025pm4cKFpKamntLcN5m2yGEyGRkZmVNIy7CZL0KTk3EOGkRTQADNqameJSAAx5AhjF6/noQPP2R8ejrG0FDGp6fT+8MPKZo0CWNzM0pBwL+hARQKCsPC2KvXcxikcJuF9sUeW1bKiEaQu9XrPaGa5mzMQQDWAX369GHAgAEYjUaUytN3e4yPj0ev16NQKDCZTJ52MUOH+lx3/PjxLFq0iOXLl8v9zk4jcjVZF5CryWRkZE4lLcUegQ49SQDFW7dSPGcOSqcTQaWiMT4ebXExbrUaweFgUEkJSqABTzsQUUigdUhM9Aa1NoxET5Goou17Fu3jpG3VW3c425VlAvAHoGjiRGpqaoiOjubQoUM0NDRQXV19WowQjUaDw+FArVZz9913c8cddzB9+nRyc3PR6XQYjUaee+45vv/+e0kv64knnkCj0cheom4gV5PJyMjI9FBah9raC7uJRKSlkZeWJpX0D3ziCZpGj6a304kbKAGqAgPR1NaSxK8tQpqhTV6R2EZEg7eRVI+nvNyuVmN2Oomg68aN0I11fXG2w3VuIBNw1tSg0Wjw8/PjlltuobCwkP/+979e6yoUCk6FD0E0sJxOJ5988glarRaDwUBwcDBRUVGkpqYyefJkamtrycjIICkpif/85z8UFRWRmprarqq6zIkhG0MyMjIyPZzWuUg//+MfpDidqPAYIUag9Npraf7yS7RHjwKei3vL3CCxZL9lrpDoDco0GDhyww30njKFhoUL0VZUIDid0vtKOjZYzvVbsoCnbYrSbOaKK65g9uzZhIeH8+mnn/LWW295r3sagik2m43s7GwiIiIQBIEBAwaQmppKdHQ0CxYsoLS0lP/85z988MEHGI97D8vLy0+5dMSFjGwMycjIyJwDtPQmJd58M2VLl9LH4fCU3qtUKL/7Dnv//tQePUogv+YDiUaQHThoNKJ1Oulrt6PE01R2d0wMjv798d+wgYrMTIiJwa+sTApdtefxOZ8SsMVjmTJlCnfddRcajYZly5bx9ttv43R2teXuiXPs2DF27dqFXq9n4MCBPPvss/Tp00fy/Gg0GoqKijAajdhsNuLj47utqi7TMXICtYyMjMxZxmGzUbZ7Nw4fZda+MMfGEpaby64HHmDXX/7C0d69UdntaEpLOfLOO2yLiWGzVks+ntBXM3AwIADVs89i6dWLevE1Pz96vfIK2sOHCTtyhIQff4TjfdXUtN9TTTS0XPS8BOwToQ44Aqxbt45XXnmF0tJSdu3ahcViQaPRnNZkapGysjIcDgcBAQHU1tZ6vRceHk5qaiqpqanccMMNPPTQQ3KI7BQjJ1B3ATmBWkZG5nTRusXH+PT0dhOpuzoeoHjnTg4uWYIpLw9ncDBpn36KMTSU7y+9lITt23GpVJRFRdHnnXfIefhhErZvp0mtxuLnR1J1Nf4t9tE6wVk0hFTHX2uZqH06kqFPtxfqXeAmIDwqisjISD744APWrFnDO++8Q0lJCQC1tbUoFAqUSiUKheK0VXYlJycTEhLCpZdeyoMPPigZPaejvcyFgNy1/hQiG0MyMjKni7Ldu8mdMwd1YyNOg4F+6emdJlS3pmV1WktDqvXrDoeDF5cuJeCVV4hvbkY9bhwXrVmDw2Zjx4wZaIqLaQgKYvDPPxOJxwCxAgeBOCDYx75FA6g77UJavy/mJYm48NZD6ixnqTu03rcDSAQKAJPJxIABA1i9ejXR0dEUFBTw8ssv88UXX2C1WlGr1VxxxRXk5uayf/9+KioqTtGs2qJWq/nqq6+YPHnyadvHhYBcTSYjIyNzDtCeanV3aE8IsvXr5eXlZB46xCClErvTictuB8AYGsqYzz/n1cWLySoro8xiYeLhwyiAwr59+TEhgYPFxTx/4ACBeAwKO6DDt+HTmTHUuh9b6yCUAFQBAXikAlqLRLY0krqDu8W+W3qxHgbuxFPZNXXqVMLDwykvLycuLo5nnnmGwMBA8vLySEhI4I477uCSSy5pE8o61TidTqZMmcKOHTsYPXr0ad2XjGwMycjIyJxVuqJafSL48haFh4eTEhZGvM2GTq1GX1BAZVYWkSNGUNPQwC81NVibmnDU1aFVKtG63Yw6fJihhw+T5+dHJb+W6h87/rs/v1aTiUnZ7uN/a/FtKB0DQvAYU60RgJrj22wdDBKNl+Z2xraHaEgp+LXKTgztNeOpxgsHlKGh3HjjjaxYsYKMjAyGDBnCggULeOyxx6QQ1b59+7DZbFK47HQHV8aOHcv27dtRqVQkJydL1WQypxY5gVpGRkbmLNOZanV3EfOIcufMYducOV6J2df86U8YRo1CHxqKKyVF8kSFh4czZMgQQlwuertcOBUKTHi8KHpggNUqiTkq8YTM7EAxnhBTBR4jpgzINho55mNebjzGRxAeQ0Qs9YdfDZTm4++Z2hkv0L6R1fKnuL5o9AitfrqOz78aj0FXDcyePRuDwUBGRgYNDQ1kZGRQXl6ORqMhOjoajUZDcnIygwcPRq/XSwYReMJapwNBEBgzZgzTp09n9uzZ5OTkyErUpwHZGJKRkZE5z6jMykKVlYW6sRFVVhaVWVk4HA6WL1/OU88+S9aUKcS9996vydZbtnB0507uuPVW7l+6lBC1GqUgUK5WU318m6JRJHpr1HgMllA8HiIlUAhsDwtD9dpr5AwcKFWbOfCEvTi+DT2/empEA0dxfBu64681HV+/s3wkFx7l7arj+xHXceIxrBqOv+48vriOb18Un8zH08YkPiCA++67j+joaIYMGYLJZGLIkCFtStiNRiPvvvsuTz75pGdfxz1Dbreb00lFRQVfffUVd955J0uWLGnT4NXhcFBaWiobSieIHCaTkZGROc/wlYdUXl4ueTz2HzjA7+bPB2DrrFmEb9oEQO5vfkO/RYtw+vlRLgg0Gwy4NBoGHD6MBk8Oj4NfE5rF8nsxLVULaCoqUP/pTwy22yV9Iwe/GkwiolEijhMRgFogU6VimMuF+fjrorEk/i5WtNUc/9uAx6ixAmY8xpQbT0jOffy1ejyGWMTx9QUgEE9fsiNOJz///DPTp09nwYIF7VZuORwO3njjDdauXetlAJ2JWiSXy8X3339Pbm4uAI899pjU1mP58uVeoT254qx7yJ4hGRkZmfMMMQ+pX3q6VKovhsFaejwqs7LQZWRgbm7G3NyMbt8+EASpkay9Tx9ULhd1Oh1WhYIylYpKpZIqINPfnzKVimZ+TWgW8Bg9Zrvdqw2IkV8NHnG9BjxGiqbFa+Dx3mwxm1k5ahTvh4bS0OK91qExJb96qLR4DJx6YFdqKt9GR5OhVhMIJAFRePKC/PDoCjnxtDHJBdaoVIRFRTFq1CjP+WsRFmuNaFSKYTIAnU53RowhgObmZlwuF3l5eezbt08quW8d2pPpHrIxJCMjI3Me0joPSaPRsGDBApYuXSp5DkKTk2keMgSLTodFp6N56FAihg+XDKkxH3+Mc/BgKqKiyJswAb9ffqH63/8me+pUGsPCKJ48mZ/T0qjEY4Q48XhgDHg8NAVaLRmhoV55Oy48xogRjyEkhqw4Pr5ApaJ69mzo3x/rXXexp3dvLzVtFx6vTxMer5MfHkNIdXx8MWC97DL6aLWEGo2EHd+26vgcxX2VAT8Dh0JCIDqapKQkVq5c2WmYSTQqlUolAQEBBAUFYTAYTuxDOkGKiorIy8vjpZdeYvny5QQFBXUY2pPpHFlnqAvIOkMyMjLnKw6bjaM//QQKBRFpaW2SuH1VpbV87eiePRTPno2fxUJfm40mPJ4aC1ASGEj4F1/g/M1viHE6aeLXpq4KPOEzzfG/RaNo1+DBjN6yhZqGBtzFxRRfcw1Djx1Dj8fYOaZQcMRkwr++nkg8YS/R61QO/EujQX3vvYzYtYuAAwdIPHIEPVCpVFKj0dC/uRkb8KNez9dRUWwGCisq8Pf3Z+zYsTz00EMMHTq0wzCTw+GgoKCAhQsXkp2dTd++fdm2bRuNjY2n4iPpMpdeeikREREsXbpUkgOQRRm9kUUXTyGyMSQjIyPjG7FyTb1/P72OHKGXw4EeaARqVSoa3nyT4EGDqJwwgZDGRsx4vEYqoCAwEEvfvgTk5RFWX095QAAD9u3DHBsrbXvrrFmEf/stBrudJqDMZEITEsKOoUMJ2LKFiy0W4txu7EARsHzgQPbr9cRFR3PtTz8x7tgxXAoFlWYzETU1BAgCSuDw/7d372FRlnkfwL8zzAFmgOGMCCgIKAx5WNEEgcq0g4ey7fXFNu1NU3drLattKw+rrnncVjMtrevdyszN0vXdyl3Ls3kgUBRdlBEPqIl44CDngWFg7vcPd2YZGRCRgYH5fq5rriue536euZ/fNTm/uY9ubvhZJsOhqiqsNJlQh1szwp588kkMHTq0ReNu9Ho9dDodtFotioqK8N///d/IyMhoty6zyMhI/OpXv8LMmTM55b4JLf3+ZjcZERG12O37qJnHJ/X861+R178/KnGrC0sKoNDTE+GjRgEmE8q6dUO+tzdKJRIYpFKc9/eH9+bNSD54ENrz51G5bh1iz52zJELmew/54gtcvu8+nFYokCeXo0wIVEVF4eUvvsDjhw+j+r33cFmhQCVuTff/5YULGJWbC3lJCRRlZaiWySAFUBEZiau+viiVSFAqkUBTXY1elZW4z2SyLBlQV1eHw4cP48SJEy0ad6NSqTBo0CCoVCqYTCYYDIa2DfYdnD9/Hv/85z+xfPlyS/dew1llTf03NcbZZERE1CIN90E702AfNblKBZmrKxTFxahQKm91I0VEYMDu3VD5+UGuUuFMbCyEToczv/gFVAkJiJw4EdWFhbiemYluAwci9t+z225XdukS3EtKUKNUoqK+HheeeAK//fhjqDQahGk0CJ42DYd27IDq6FF4VFRA4+GBgfX1uOrujpKePVFQXQ1jSAjiv/kGRr0eJ0aMQHhuLlwBmITADTc3FP67e0sqlUImk7VqV3ij0YiqqioAgEQisWzwajAY7NpSdPz4cWRnZ2PAgAHw9vbGoUOHkJOTg9jYWADAyZMn0aNHD7i7uyMnJ4ezzZrAbrIWYDcZEVHz+6hZusuys1EbEoL4v/8dKj8/y7XmsUnnly6F/PRpyKuq4FFZCQGg4KGHkLRli81FJy0JWHY2KiMi8OC/y+VfugSX4mJ069cPAHA9MxPnlyyB7MwZGGNi0GvlSgQEBKDs3DnLeKdrR48iNyUF/levwrWuDudjYqB66y0Yu3fHn99/H0qlElqt9q67nYxGI1auXImvvvoK58+fh0wmQ0JCAhYtWgSdTodXXnnF7tt3uLm5QalUQq1WIy4uDgqFAiaTCWfPnrV8h0VERMDT0xNLlixBcHCwXevjKLg3GRERtanm9lG707YicpUKMjc3yM6cgbKyEt1u3oSLEDBJJCj7178s24Lc7vb7Qi7HquXL4bJmDSKrq6FOSEDy5s0ITUpCty1bGr2/qsE9/bRanImNRSGA2qAgSN3dUTd/Ps65usK7f3+ERUW1avxNQUEBsrOzERYWhrCwMEyePBkjRoywdJ95enqivLzcrgszVldXW1qhqqqqEB8fj8rKSpw4cQIeHh6Qy+WQyWScbdYEJkNERNQiLUl4bCU0ZuZkynDqFK5KJJaWIUP//s1uUNvwvvn5+TiXmopHSkrgIgSkJ09aEqk7vX/D+tfV1ODS889DqtfDq7AQols3/KxQoKSk5K6TIfN0e/OihyNHjrR0Q0VFRUEmk1kSIXvuZ2YymeDi4gK1Wg0XFxe89dZbcHFxwcWLF6HVajFs2DD069ePXWQ2MBkiIqIWu1PCcadrzcmIJiwMxadPAxIJetuY0t+UgIAARA4ejMIjRxBaVwdT377NJlJN1d+o1yNXqwWys1Hi7Q2DRoNBsbGtajUxr+Fka2p7SUkJXF1dLXuYmVeMtldCVFVVBYPBgIyMDKSkpGDu3LnIz8/H5s2b8dFHH3HMUBM4m4yIiNqNORlR+fkhNDkZoUlJd7dBrdGIuIwMxLi6wjUmBj2WLAFa8cVuTszCNm5E8YQJEPe40Wpzq1YrlUoolUpIpVKEhYXZdRq8wWDAuXPncPHiRWzevNlSt+zsbK5Q3QwmQ0RE1GkU6XSQnz4NZV0dqnNy8OfZs7F69epWTRmXq1SQhoZCd+4cTCYTsrOz2zxRCA4OxsiRI+Hv7w9vb28YDAb4+flZWors4cKFC1AqlTh58iSOHTuGsrIyhISEQKVSccxQE9hNRkREnYZ53FF9VhbOS6UodnGxtHbc7Qwpo14PU14e+kZH4+S/p523daIgl8sxZ84cVFVVYevWrVCr1QgPD0ddXR3y8/Pb9L0a+umnn2AymfDb3/7W0n03cuRIvPTSS+wis4HJEBERdRrm7q3rWVk4um8f1K1MYhqumTQwJgbjVq5EcFiYXRIFlUqFJUuWwNPTExcvXkTfvn0RFxeH1atX4+bNm23+fmbp6enw8fFBTU2NZZp9awaIOwMmQ0RE1KnIVSqExsfj1bi4Vu/HVaTTwUWng6y6Gjh9GsqyMru2mKhUKsydO9dSX6PRiOLiYmzevBk3btyw2/uWlJQgKCgI3bp1w+DBg9lF1gQmQ0RE1CmZBy23RnNrJtlLw/qeP38e69evR0VFhV3fUwiByMhIfPrpp+jZsye7yJrAAdREROR05CoV7l+3Dj7z5+P+devubkZbG0hPT0d5eXm7bOp64MAB7Ny5k4lQM7gdRwtwOw4ioq6l4Zih+gb7rLWHoqIi9OnTx67jhWw5duwYBg4c2K7v2dG4az0REXVZRr0e144ehVGvb9X1DccMueh0KNLp2riGTfv+++9RVlZmdUwikdh1uj0AJCcnc9f6JjAZIiKiTsXcqnN+/Hikjh/fqoTIT6tFvVaLOje3dhszZPbQQw/Bw8MDEokE3t7e+Mtf/oJhw4bB1dXVru+r1+sxa9Ysu75HZ8VkiIiIOpW2aNUxT9GP3LSpXbvI9Ho9fvOb31jGC3l4eGD06NGIiYlBXV2d3d9/xYoVyMnJQX5+PluJGuBsMiIi6lTaaibYveyz1lo6nQ4nTpywbNx65coVzJgxAz/++KMlOXF1dYVSqWzUldZWnnrqKQwZMoT7lDXAZIiIiDqVhhu++mm1LW7VMRqNrV6XqK1otVr069cPhYWFqK+vh6urK0pKSmA0Gi072mu1WvTq1QuXL19GTU0NTp482aazzs6cOYPY2NhWr9zdFTEZIiKiTuduW3WMRiNWr16NrKwsqxaR9k6Q5HI5HnroIZhMJty8eRORkZEYMGAA5HI50tLSoFAoMHr0aLi7u8PV1RUXLlywJEmtJZVKLS1RZqdOncKvf/1rLsL4b0yGiIioyysoKEBWVpbVzu0BAQE2EyR7MCddRqMROTk58PT0RLdu3fDqq6+if//+GDduHF5//XW4uLjg559/xoIFC/DAAw9g6dKl8PLyuqdp+LcnQgBw9uxZJCUlsYvs3ziAmoiIuryAgAD069cP7u7ulr3MbCVI9mBulZo9ezY2b96M2NhYuLu7o2/fvvDz8wMAhIWFYdiwYfDy8rLU78CBA7hy5Ypd6gQAzz77rN3u3dk4bDI0adIky7oLtl7p6enNXl9dXY3Zs2cjKioKCoUCvr6+ePrpp5Gdnd1OT0BERI5CLpdjxowZWLJkiaUFyFaCZA8Nk67s7GykpKRgwYIFAID58+dj9erVAGBVv5KSEmRnZ8Pf3x9KpRIKhcJyP7VaDbVaDXd3d3h5ecHDwwO+vr6Qy+VQKpUtbu25cOECtm3b1vYP3Ak5fDdZRkaGzeMxMTFNXiOEwFNPPYUff/wR8+bNw0MPPYTr169j3rx5SExMxJEjR9C7d297VZmIiBzQ7XuZmRMke48ZMidd5u644OBgFBQUIDs726pVKjg42FI/8zWZmZmIjo7G6dOnUVxcjPr6euj1eri4uEChUMDV1RVqtRq9evVCRkYGKioqUF9f3+K6Pffcc+2+ErYjcvhkaFArpj1+++232LlzJxYtWoQ5c+ZY3SsqKgqzZ8/Gli1b2rKaRETkwMxjdrzd3VF27pxlFtq9bPbaUraSrtsTpIatUua6Tp06Fe+++y5u3rwJT09PVFRUQK/XQwgBiUSC2tpaGAwGVFdXo6KiAqWlpXddt5KSEqxduxa//e1v2/CJOx+H3Zts0qRJWL9+fatG0I8fPx6bN29Gfn4+unfvbnXusccew759+1BaWgpVC6djcm8yIqLOyzxm52RmJpKPH0fvmhrUx8a262KLTdXr9laphrPeQkJCsH37dhQWFqK2thaFhYUwmUyQSqVwcXGB0Wi0/LfJZLqrFqGGFAoFDAZDWz6aw3DqvckyMzPh7+/fKBECgH79+sFoNOJf//pXB9SMiIjam3nMTv21a/DKy4NUr2/3/chsMbdKNeyeazi+KCcnB3V1dRBCQKlUwsXFBcB/ZocplUrIZDLU1dW1OhECgNraWhw+fPjeHqaTc/hk6J133kFkZCQUCgV8fHwwduxYHD16tNlrrl+/3uRAOPPxa9euNXm9wWBAeXm51YuIiDonc5eUS1AQSkNDYVKpGq1cbTQaHWKLioaDugcNGoQRI0agrq4OZWVlEEJAKpVCoVBArVbDx8cH9913H5RK5T2/79tvv90Gte+8HH7MUE5ODlavXg2NRoOMjAwsWrQIiYmJ2Lt3LxITE21eo9frrUbeN2T+0Oib2dhv6dKllpH+RETUuTUcs3P7mCGg6QUZO7Ku+fn52Lx5M06fPo2amhq4ublBIpHAzc3N8gM9KCgIGo3G5jpCd8vFxQX5+fkdujp3R3LYlqFVq1ahoKAAGzduxKhRo5CYmIjXXnsN27ZtQ21tbbM776pUKtTW1to8Z+4XVavVTV4/a9YslJWVWV55eXn39jBERNShzF1SKo0GQYMGWY0Vaq/1hlpKLpdDLpcjOzsbcrkcarUaCoUC3bp1g1KphMFggF6vh06nw9GjR9tkq469e/di6tSpWL16dYe3jnUEh02GNBoN/P39Gx0fMmQIwsPDm5xyDwDBwcG4fv26zXNXr161lGmKUqmEp6en1YuIiLqm9lpvqDV18vLywvTp07Fy5Ur07NnTMmi6vr7ekiTdy3ihhn788UeHSAY7gkN3k9XW1trs7qqqqoKbm1uT1w0ePBh//etfkZeXh9DQUKtzx44dg5ubG/r169fm9SUios6nvdYbam2dvL298eGHH6KgoAD19fWIjo6Gh4cHgoODcfPmTWRkZLTJDvc1NTXo1auXQySD7c0hW4bMayo88sgjjZr/du/ejYKCAjzyyCNNXj9x4kQAwCeffGJ1PDs7G6mpqUhJSYGrq2vbV5yIiDolWzO7Ooper0d6ejouXbqEgIAAlJSU4OTJkzAYDJBKpUhKSsK2bdvw5ptvws/Pr8kxsq1RWFjoEDFobw6ZDPn4+GD69Ok4cOAAxo4di61bt2L//v149913MW7cOPj5+WHx4sUAgC+++AIymQxr1661XP/YY49h3LhxWLJkCRYuXIjU1FR8/fXXeOKJJxAQEGC5loiIyJHo9XqkpKRg9OjRGDZsGJYvXw53d3d4e3vj+vXrqKqqQnp6OkpKStC/f38EBgY2OyFIIpEgISEB2gYz55rz5ZdfcsyQI1m6dCm+/PJLFBYW4tlnn8WIESOwZs0apKSkIDMzE5GRkQBgWWjq9tH0X375JebOnYsNGzZg2LBhePXVV5GYmIi0tDS7rzZKRETUGllZWThx4gSqq6tRUlKCXbt24d1330VeXh4UCgU8PDwghMDx48dx6dIl/OEPf0DPnj2bvF/37t3Ru3dvXLlyBRKJ5I7vX1paiqysrLZ8pE7BYVegdiRcgZqIiOzNaDRi+fLlWLNmDW7evAm5XI7Q0FAolUqEhITg8uXLcHV1RXFxMYqLi+Hm5obp06cjJSUFAwcObLQmnouLC7p162ZZwbqlZs+e3WV6UJx6BWoiIqLOpqCgADk5OYiLi0N8fDwSEhIQGRkJiUQCqVQKg8GAixcvIi8vD3q9HiUlJUhNTYWLiwumTZsGX19fqwUYhRC4evXqXSVCwK3hJ811vXVFTIaIiIgcQMPp9I8//jgefvhhaDQapKSkYPLkyaipqYFEIoFEIoFCoYC3t7dl8eFr167B3d0ddXV1lnWK3N3dW7UG0ZUrV7Bp06a2fjyH5tBT64mIiJzF7dPpzev9BAcHw2g0IjY2FjqdDr/4xS/w5ptvIiQkBGFhYTAajSgvL4dEIoGXlxfUajXkcjnq6+sbdZ1JJBJ4eHjccZupNWvWYPLkyXZ7VkfDZIiIiMhByOVyBAQENNoeRKVSYdOmTdDpdNBqtVDdtoK2l5cXYmJioNFoMHLkSGzbtg27du1qdH83Nze4urqipqam2e6zY8eOITMzEwMHDmyyjNFodKi1me4Fu8mIiIgciK3tQYxGo2U6fcNECLjVvTZgwAD4+/tj0KBBGDt2LNzc3KwWYnRxcYGPjw9GjRqFqKioFi2sOG/evCbPmfdzmz17dpfYwoMtQ0RERA7EPHbI3DLk7e3d7Eayt3evffTRR7h69apl4LVCocCiRYuwdetWfPvtt6irq2tRPVJTU1FWVgaNRtPonK2ErTMvW8OWISIiIgdiTm6WLFmCGTNmoKSk5I4byZpX0DaXdXNzQ2BgIAICAjBs2DAMGTIEZ86caXEiBNxac2jlypU2zznifm73gusMtQDXGSIioo5i7pJqqmWoqbLR0dFISkpCt27dEBAQgPj4eOTk5DS6xjxDDUCjBYyBW+OHbI0d6gxjhlr6/c1kqAWYDBERUUe6m8TDXNbd3R0rVqxAbm4uIiIikJiYiMcff7xReYVCASEEAgMDUV1djeLi4kZl/vnPf2L06NFt9jzthclQG2IyREREHaU1LTBGoxELFy7EX//6V+j1eqhUKnTv3h2pqamNyrq7u6OyshISiQQajQalpaU27/nJJ59gypQp9/Io7Y4rUBMREXVytmZtGY1G5OfnNzuDq6CgABcvXoRCoUBVVRWUSiWkUttf+TKZDFKpFDKZDDU1NQgPD7dZburUqdi2bVubPJejYTJERETkoG6ftZWfn9+iKe3m6fbmrT0GDBiAXr16wcXFxaqcRCLBG2+8gaioKMvK1rZmj5mNGTMGq1atspq23xUwGSIiIuoALWnhuX3WFoA7ziwD/jMj7d1338WWLVsQFRWF6upq+Pn5WZVzd3fHiy++iG+++Qb3338/evXq1WQLktlrr72GyMhIXL58+S6f2HFxnSEiIqJ21tIZYg3XEDJPX2+4BlFzU9rN0+3z8/Nx8eJF6HQ6KBQKqzFCYWFhqKyshJeXF44fP46qqiqoVCp4e3ujrKwMvr6+WLlyJSZOnGh176KiIvTu3Rs//fRTs6tUdxZMhoiIiNrZ3SxaaE5qzBomRy0ZUB0QEIDw8HD89NNP8PT0hFqtRl5enmWc0PXr13Hy5EnLTvXV1dWYMWMG0tLSsHjxYiQmJiImJgZxcXFW9zUYDIiLi+u0M80aYjcZERFRO7uXRQsbJkf5+fnQ6/XNdrfJ5XLMnDkTEyZMQJ8+feDm5obg4GB4eXnB29sba9asQU5ODhQKBQBAKpVi2bJl2L9/P5KSkrB//3707dsXhw4dsnn/MWPGYMeOHZ16Sw5OrW8BTq0nIqK2di+LFpq72U6cOIHS0lJ4eXlhwIABd1yQ8dKlS3j99deh0+kQHByMoKAgFBUVITAwEIGBgUhNTUV9fT2OHz9uuS4yMhIvvvgiZsyYgb1799pcq8jLywuzZs3C66+/7lALMHJqPRERkQMzt/C0Jnkwd7MVFxdDp9OhuLi42QHVZua9xqKjo9G9e3ecOHECGRkZOHHiBHx8fBAWFoYHHnjA6prQ0FBkZWXh0qVL+PDDDxEaGgp3d/dGz7J161a8//77KCoquuvn6WhMhoiIiDoZczebr68vtFotfH19m+1uM7ckrVq1CuXl5fD19UVQUBCMRiNUKhWqqqpw5MgRmEwmnDx50upaiUSCfv36WRKvuro6+Pv7Y9WqVejfvz/69OkDvV6P1NRUvPXWWwgJCbG5uKMj4wBqIiKiTub2nepLSkqa7W4ztyTp9Xp4eXnh1VdfRVRUFHJzc6HT6RAdHY3ExETk5OQ0SoZqa2sxY8YMGI1GaLVa6HQ6aLVaTJ06FS+99BJ++OEHTJo0CVVVVQBuDaxOSkrCmjVrMGHChGbXLXIUHDPUAhwzREREnVlTU/n1er0luZHL5SgoKMClS5eQlJRkuTY9PR1DhgwBAKvyKpXKcuypp57Crl27Gr1vz549kZaWhqCgoPZ50Ntwb7I2xGSIiIg6u7sZsH348GHMnz8fCxYssCRCzdHr9di4cSOmTZvW6JxWq8X+/fsbLfjYHjiAmoiIiCxaMmBbr9fj6NGjiIiIwKJFi9C3b98W3VulUmHq1KnIysrCwIEDoVQqLedycnIwcuRI7Nu3z7KWkaNhy1ALsGWIiIja271MvW8NvV6P8ePHIzs727IS9X333YdNmzZZusRawmg0IisrC8899xzOnDkDiUQCIQTc3NwQHR2Njz/+GP3792+XZ2LLEBERUSdla7d6e75Xfn4+srKyoNPpUFFRgeLiYlRWVkKn00Gn093V/eRyOeLi4nDgwAEMGjQIcrkcJpMJVVVVOHbsGJKTkzF37lykp6c7TEsRkyEiIiIHY2u7DntomHTt27fPskK1r68v3N3dodVqodVqW3VvPz8/7Ny5Ey+88AK8vLwsx2tqarBixQqkpKRg/PjxDpEQMRkiIiJyMPeyXcfdaJh06XQ6xMbGonfv3vjNb36Dr7766q67yG6n0Wjw/vvvY/fu3ejWrZvleF1dHfR6PU6dOoUtW7Z0eELEMUMtwDFDRETU3tpjzFDDKfchISHYvn07ioqK4O/vjy1btiAsLKzN3uvatWt48skncfXqVdTV1cHV1RU1NTVQq9Xo06cPpk2bhuHDh7fpukScWt+GmAwREVFXZU66qqur8cwzz1gSsLZOhoD/rFMUFhaG77//Hn/84x9RXV2NoqIiuLi4IDQ0FNu3b8eZM2eQmJh4z4lRS7+/uQI1ERGREzNPuTcajUhJSUFGRgYGDx6M4ODgNn8vlUqFQYMGAQDGjRuHv/3tbzh69Cjq6+thMplw4cIFxMXFwWg0wtPTE4cOHUJERESb1+N2bBlqAbYMERFRV9Fc91tHTOc/cuQIpkyZgp9//hlyuRy1tbUwmUwAAC8vL+zZswdbt27FCy+8gB49etzV/dlN1oaYDBERUVfQ1LYcHa2oqAgzZ85EaWkpduzYgcrKSgC3NomVSCQwmUyQy+U4cOAA4uLiWlxndpMRERGRFVtT9u3RHXa3/Pz88NFHH6GgoAAVFRVISEhAeXk5XF1dLTPNjEYjEhISLNe0ZVsOp9YTERE5iTtN2c/NzcXvfvc75ObmtnvdzGOXoqOjce7cOaxbtw4HDx5sshVIIpFYFoy810Up2U3WAuwmIyIie2rPsTpNvVdubi569+4Nk8kEqVSKs2fPtsvg5Tu5fPkyPv30U7zzzjuNzi1fvrzZLj9ux0FERNQJtOfWG0DTG7auWbPGMnDZZDJh+vTpKCoqsmtdWqJHjx5YsGCBzXNttUo3kyEiIqIO1B5bb7SkO2n69OmQSv+TFuzYsQNardYhEiKg8Rih2traO67S3dLEkskQERFRB7L31hstbXmKiIjA2bNnMXz4cMuxwsJCfPvtt21an3shhLC85HI5ZsyYgSVLltjsIjMajfj4449bdF/OJiMiIupA5i91e40ZupsZZBEREZg5cyb27t0LIQQkEkmbr0LdlsxdfrYUFBTg1KlTLboPW4aIiIg6WFPjeNrC3bY8DR06FCNGjIC/vz9GjBiBoUOHtnmd2kNAQADuu+++FpXlbLIW4GwyIiLqzO52tpp5DzGtVntPu9Z3tOLiYvj5+XHRRSIiImfXXHeSLQ33EOvMWtrSxm4yIiIiJ9VWixZ2dmwZIiIickKOuk9ZR2DLEBERkRMxtwbl5+fbfX2jzoItQ0RERE6iYWtQbGwsYmNjkZ2dbZf1jToTJkNEREROouGaQ9nZ2ViwYAHkcnm77InmyNhNRkRE1Mk1NxC6rKwM33//PcrKyhqtORQcHGy39Y06E7YMERERdSK3rxnU3EDosrIyJCQkIC8vD6GhoUhLS7PratedFVuGiIiIOglb+4zdvt3G+fPnLS1BqampyMvLg9FoRF5eHlJTU+262nVnxZYhIiKiTsLWPmPmrq+srCxERUXh6aefxpUrVxAaGort27cjNDTU0jKUmJjY0Y/gkNgyRERE1EnY2mes4e7t/fr1w5UrVywtQadOnUJaWho2bdqEtLQ0aDSajn4Eh8S9yVqAe5MREZGjaG6fMVtjhJw5AWrp9ze7yYiIiDqR5vYZ02g0SEtLQ2pqKhITE506EbobTIaIiIi6EI1Gg1GjRnV0NToVjhkiIiIip8ZkiIiIiJwakyEiIiJyakyGiIiIyKkxGSIiIiKn5rDJ0KRJkyCRSJp8paenN3nt559/3uy1y5Yta8cnISIiIkfm8FPrMzIybB6PiYm547Uff/wx4uLiGh0PCQm553oRERFR1+DwydCgQYNafW2fPn3u6XoiIiLq+hy2m4yIiIioPTAZIiIiIqfm8N1k77zzDr744gtcvnwZ7u7uSE5Oxty5c1vU/bVlyxa89dZbOHnyJKRSKfr3749XX30V48ePb/Y6g8EAg8Fg+busrAzArQ3fiIiIqHMwf2/faU96h0+GcnJysHr1amg0GmRkZGDRokVITEzE3r17kZiY2Oy1R48exeuvv47w8HCcP38ey5YtwzPPPIO8vDz8/ve/b/K6pUuXYsGCBY2Oh4aG3vPzEBERUfuqqKhodtNaibhTutRBysrKUFtbC39/f6vjhw8fRnx8PJKTk3HgwAGb11ZXV6OsrAz+/v5wcXGxHC8tLYVWq0VpaSkKCgrg7u5u8/rbW4ZMJhNu3rwJX19fSCSSNni61isvL0doaCjy8vLg6enZoXVxNIxN0xibpjE2tjEuTWNsmuZosRFCoKKiAt27d4dU2vTIIIdtGWoqgxsyZAjCw8ObnHIPAG5ubnBzc2t03MvLC48//jjWrVuH7OxsDBkyxOb1SqUSSqWy0bWOxNPT0yE+aI6IsWkaY9M0xsY2xqVpjE3THCk2zbUImTn0AOra2lqbx6uqqmwmOw01bNm5/VoAd7yeiIiInINDJkM3b96Ep6cnHnnkkUaDnnbv3o2CggI88sgjTV6fmJiIwMBA3Lx50+p4QUEBdu/ejaCgIMTGxtql7kRERNS5OGQy5OPjg+nTp+PAgQMYO3Ystm7div379+Pdd9/FuHHj4Ofnh8WLFwMAvvjiC8hkMqxdu9Zy/ezZs1FVVYUHH3wQGzZswKFDh7B+/XokJyejrKwMH3zwgdVYos5EqVRi/vz5jbrxiLFpDmPTNMbGNsalaYxN0zprbBx2ADUAbNy4ER988AFOnjwJg8GA7t2747HHHsPcuXMtM7s+//xzTJ48GR988AFefvlly7VpaWlYtmwZDh06hLKyMnh7e2Po0KGYOXMmEhISOuqRiIiIyME4dDJEREREZG8O2U1GRERE1F6YDBEREZFTYzLUTg4cOIBRo0bBx8cHSqUSffr0wbJly1BXV2dV7tChQ3jsscfg5eUFpVIJrVaL5cuXw2QyNbrn1q1bkZycDHd3d7i5uWHgwIFYt26dzfdft24d4uLioFKp4O7ujqSkJPzjH/+wy7PerX379mHUqFHw9fWFXC5HYGAgnn76aRw9etSq3KlTp/D000/Dz88PCoUCkZGRmDNnDmpqahrd015xbC8SiaTZV1hYmFV5Z4qN2YYNGzB48GCoVCr4+vpi7NixyMrKalTOmWIzadKkZj836enplrLOFJemPPPMM5BIJPjjH/9odfzy5ct4/vnnERQUBIVCgdDQULz88suNZigD9otjezt58iSeffZZ9OjRA0qlEt27d8dzzz2Hc+fOWZXrsp8bQXa3detWIZVKRUREhFi/fr04ePCgmDNnjpBKpeL555+3lNu3b5+Qy+UiPj5efPfdd+LgwYPi7bffFhKJRLz44otW99ywYYOQSCRi9OjR4ocffhD79u0TU6ZMEQDEsmXLrMouWrRIABDPP/+82LNnj9i5c6cYO3askEgk4quvvmqPEDTJHJvBgweLzZs3i4MHD4r169eLqKgooVQqxZEjR4QQQuh0OuHh4SGio6PFpk2bRGpqqli2bJlQKpVi5MiRVve0VxzbU0ZGhs3X9u3bhaurq3juuecsZZ0tNkIIMW/ePAFAvPDCC+LHH38UGzduFD179hSenp5Cp9NZyjlbbJ5//nkBoMnPT2VlpRDC+eJiy8aNGwUAAUDMnz/fcrygoEB0795dBAUFiXXr1onU1FSxdu1a4eXlJfr37y8MBoOlrL3i2N4OHz4s3N3dRXR0tNiwYYPYv3+/WLlypdBoNMLb21tcunRJCNG1PzdMhtpBdHS0cHV1tXygzJYsWSIAiLS0NCGEEP369RO+vr6itLTUqty0adMEAJGVlSWEEMJgMAg/Pz8RExMjamtrrco++uijQqlUisLCQiGEENevXxdyuVyMGDHCqpzRaBRarVYEBgYKo9HYps97Nx555BEBQPz8889Wx/fv3y8AiGnTpgkhhHjyySeFXC4XFy5csCq3ePFiAUD84x//sByzRxwdxYQJE4Sfn59VvZwtNqdOnRIuLi5WPySEECI9PV1ERESI//3f/7Ucc7bYmJOhO3G2uNzuypUrwtvbW/zyl79slAzNmDFDABAHDx60uubLL78UAMQHH3xgOWaPOHaEoUOHCldXV5Gfn291/JNPPhEAxKxZs4QQXftzw2TIzoqKigQAkZSU1OhcYWGhACBee+01odPpBADx61//ulG5n376SQAQc+bMEUII8f333wsAYsmSJY3Kmn/t/OUvfxFCCLF27VoBQGzcuLFRWXMytmvXrnt9zFZ74oknBABRVFRkdTwzM1MAEK+88oooLy8XMplMPProo42uv3r1qgAgJkyYIIQQdoujI9i2bZsAIDZs2GA55oyx+d3vficAWLUA2eKMsWlJMuSMcWnIZDKJRx99VPTs2VNkZWU1SoYCAwNF7969G11XW1sr1Gq1SExMFELYL44d4bPPPhPr1q1rdNxc74kTJ3b5zw3HDNmZeUyQq6tro3N+fn5Qq9U4ceIEMjMzAQD9+/dvVK5fv34AYNmPzV5lO8Lrr78OpVKJadOm4fLly6ivr0dubi7efPNNaDQavPTSS8jKykJdXZ3NZwgKCoKfn1+XjE1DRqMRM2bMwNChQzFx4kTLcWeMzYEDB+Dv74+YmJhmyzljbFrC2eOydu1a7Nq1C5999hk8PDyszuXn5+PGjRs2n0EulyMmJgaZmZkwmUx2i2NHmDx5MiZNmtTo+NmzZwHcqmNX/9wwGbKzgIAABAUF4dixYygvL7c6p9PpUFVVhYKCAly/ft1S/nZqtRoqlQrXrl0DgGbLmo+1pmxHGDZsGA4dOoTs7Gz07NkTMpkMkZGRKCsrw+HDhxETE9PsM5iPt+R57yWOHe3TTz9Fbm4uFi5caHXcGWOTm5uLHj16IC0tDcOHD4enpydUKhUefPBBpKamWso5Y2zM3nnnHURGRkKhUMDHxwdjx461TEhw5ricPXsWb731FqZPn46HH3640fmWxKa6uhqlpaV2i6MjqKiowP/93/9h6tSpGDRoEF588cUu/7lhMmRnEokECxcuRElJCVJSUnD69Gno9Xrs2bMH48aNg6+vL2pra6HX6wEACoXC5n2USqWlTHNlzUugt6ZsR9DpdBg3bhwkEgm++OILpKenY+PGjSgpKcGYMWNw/vz5NovN3ZR1hNiYVVdXY+HChXjooYca/QPujLGpqKjAtWvXMHHiRKSkpGDHjh34+OOPceXKFSQnJ+O7776zqp8zxcYsJycHq1evxr59+zBv3jykpqYiMTERqampThuX+vp6/M///A+CgoLwpz/9yWaZljyvuZy94tjRJBIJPD09MX78eKSkpGDPnj3w8PDo8p8bmd3fgTBlyhTU1tZi1qxZ0Gq1AIBevXrh/fffxx/+8AfIZDKoVCoAQG1trc17GAwGqNVqAGi2rMFgAIBWle0IU6ZMQXFxMXJzcy2/AoYMGYKkpCRERUVhxowZmDJlCoB7j83dlHWE2Jh9/fXXuHr1Kj788MNG59rqee+mbEfHRiaT4erVq/jpp58sW+skJCRg6NCh0Gq1mD9/PsaOHeuUsVm1ahX+/Oc/w9/f33IsMTERCQkJiI+Px6xZs/Dqq68CcK64AMCSJUuQkZGB/fv3W+p6u5Y8L/Cf1o07lW1NHDva8ePHodfrkZmZiRUrVmDHjh349ttvu/z/T2wZaicvvfQSCgsLkZOTg0uXLiE3NxdjxozBpUuXEBkZieDgYAD/aTJsqKysDHq93lKmubJXr161KnM3ZdtbZWUlDh8+jPj4+EZNpKGhoYiNjcX+/fvRvXt3ALafAbj1HC153nuJY0dav349NBoNxowZ0+hcc88AdM3YBAYGwtXVFfHx8VbHIyMjER0dbRnb4Iyx0Wg0VomQ2ZAhQxAeHo6MjAynjEtmZiYWLlyIV155BQMGDEBlZSUqKystLQ61tbWorKxEYGAggOZjo1arodFo7BbHjjZgwAAMHToUL7/8MtLT03Hjxg28+OKLXf5zw2SoHcnlcvTp0wc9e/YEcOt/0PLyciQnJ2Pw4MEAbmXltzt27BgAWP7xt1fZ9lZdXQ0hBIxGo83zBoMBBoMB/fv3h1KptPkMFy5cQGlpaZeLjVlJSQkOHTqEhx9+GHK5vNH5fv36OV1s4uLiUFNT02gMHnBrwoKLiwukUqlTxgZo+td4VVUV3NzcnDIuW7duhdFoxKpVq+Dh4WF5xcbGAgCWLl0KDw8P7N69GyEhITafobq6GqdPn8b9999v189XeysvL8f69euxc+fORucCAwMREhKCY8eOdf3Pjd3nq5F44403RFBQkLhx44bV8f/6r/8S7u7uoqCgQAghRHx8vPDy8hI3b960Kjd+/Hjh4uIizp07J4QQoq6uToSEhIioqCirBcBMJpNISEgQHh4eoqysTAghxM2bN4VKpRIPPvig1T2rq6tFWFiYCA8PF/X19W39yC0WHh4uVCqVuH79utXxS5cuCZlMJoYOHSqEEOKZZ56xioHZ22+/LQCIffv2WY7ZI44dxTztdPHixU2WcbbYfPPNNwKAWLFihdXx06dPCxcXF6vPujPFpri4WHh4eIgHHnhAmEwmq3O7du0SAERKSooQwrniIoQQP//8szh48GCj19/+9jcBQEyePFkcPHhQ3LhxQ8ycOVMAEHv37rW6x0cffSQAWE1Bt0cc21tNTY1Qq9UiPDxc6PV6q3NXrlwRCoVCxMTECCG69ueGyVA72Lt3r5DJZGLw4MFi69atYs+ePWLChAkCgPj0008t5Y4cOSLc3NzE/fffL7777juxf/9+MX36dAFAzJ071+qe3333nZBKpeLxxx8X27dvF3v27BEpKSkCgPjkk0+syn7wwQeWtSL27t0rfvjhBzF8+HAhk8nE9u3b2yUGTfnmm2+EVCoVMTExYsOGDSI1NVV8/fXXonfv3kKhUIj9+/cLIW4lR35+fiIqKkps2rRJHDp0SMybN0+4uLhYrcYshP3i2BFWrFghAIjNmzc3WcYZY/PUU08JmUwm5s2bJw4ePCg+//xzERYWJpRKpUhNTbWUc7bYmL/In3jiCfHdd9+JH3/8UfzpT38SGo1G+Pn5Wb6AnC0uTbl48WKjdYZKS0tFRESECAwMFJ999plITU0V7733nuVHZcMfj/aKY3v785//LACIhIQEy04An3/+uYiOjhYSiURs2rRJCNG1PzdMhtrJDz/8IJKSkoSnp6dQq9UiOTlZbNu2rVG5jIwMMWrUKKHRaIRSqRQDBgxocsGpnTt3igceeECo1WqhUqlEQkKC+Oabb2yW/eqrr8TgwYOFq6ur8PDwEMOHD7ckGh3t0KFDYsyYMcLX11fIZDLh7+8vfvnLX4qjR49alTt79qxISUkRvr6+QqFQiOjoaLFs2TJRV1fX6J72imN7mzNnjgAgduzY0Ww5Z4uNwWAQixcvFn369BEKhUL4+PiIp556SmRmZjYq62yx+fLLL0V8fLxQq9VCJpOJHj16iGnTponLly9blXO2uNhiKxkSQohr166JKVOmiG7dugm5XC7Cw8PFzJkzRVVVVaN72CuO7e3vf/+7ePjhh4WXl5eQy+WiZ8+eYvTo0WL37t1W5brq50YihBB274sjIiIiclAcQE1EREROjckQEREROTUmQ0REROTUmAwRERGRU2MyRERERE6NyRARERE5NSZDRERE5NSYDBEREZFTYzJERERETo3JEBERETk1JkNE1KUUFBRAIpG06OXt7Q2TydTRVSaiDibr6AoQEbUltVqNjIwMq2OvvPIK0tPTsWPHDvj4+FiVlUr5m5DI2XGjViLq8rp37476+nrcuHGjo6tCRA6IP4mIqEu7fv06rl27hoEDB3Z0VYjIQTEZIqIu7dixYwDAZIiImsRkiIi6tMzMTABAXFzcXV+7b98+hISEQKvV2vybiLoGJkNE1KXdS8vQ+++/j+TkZGRnZ9v8m4i6BiZDRNSlZWZmwsfHB2FhYXd9bXl5OSIiIiCRSGz+TURdA2eTEVGXVVhYiICAAIwYMQK7du1qdP7ChQt4+eWXkZ6eDolEgl/96ld47733oFAoMHz4cOzbtw9SqRQREREICQmx+vvMmTMd8EREZA9sGSKiLqu58UJCCIwdOxZarRZXr17Fv/71L6SlpWH58uUAgD179uCBBx7AzJkzcebMmUZ/E1HXwWSIiLqs5sYLHT16FGfPnsXixYvh6uqKkJAQvPnmm9iwYUN7V5OIOhhXoCaiLqu5lqHc3FzU1tZCo9FYHVcoFO1SNyJyHEyGiKjLOnbsGDQaDXr16tXonKurK7y8vFBSUtIBNSMiR8JuMiLqsi5evIjS0lKbs78iIiJQWlqKK1euWI6VlJSgoqKiPatIRA6AyRAROaW+fftiyJAheOONN1BSUoKioiI8++yz+P3vf9/RVSOidsZkiIic1ldffYWysjKEhIQgNjYWwcHBeO+99zq6WkTUzrjOEBERETk1tgwRERGRU2MyRERERE6NyRARERE5NSZDRERE5NSYDBEREZFTYzJERERETo3JEBERETk1JkNERETk1JgMERERkVNjMkREREROjckQERERObX/B7Sfw3pkbPokAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as pl\n", "\n", "pl.plot(base_stlr.teff, base_stlr.logg, \".k\", ms=3, alpha=0.5)\n", "pl.plot(stlr.teff, stlr.logg, \".r\", ms=3, alpha=0.5)\n", "pl.xlim(9500, 2500)\n", "pl.ylim(5.5, 3)\n", "pl.ylabel(\"$\\log g$\")\n", "pl.xlabel(\"$T_\\mathrm{eff}$\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next up, let's make the cuts on the KOI list:\n", "\n", "* disposition from the Q1-Q16 pipeline run: `CANDIDATE`,\n", "* $50\\,\\mathrm{day} \\le P \\le 300\\,\\mathrm{day}$, and\n", "* $0.75\\,R_\\oplus \\le R \\le 2.5\\,R_\\oplus$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:28:53.797058Z", "iopub.status.busy": "2022-06-06T11:28:53.796607Z", "iopub.status.idle": "2022-06-06T11:28:53.834897Z", "shell.execute_reply": "2022-06-06T11:28:53.834326Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using cached data file.\n", "Selected 154 KOIs after cuts\n" ] } ], "source": [ "kois = get_catalog(\n", " \"q1_q16_koi\",\n", " columns=\"kepid,koi_pdisposition,koi_period,koi_prad,koi_prad_err1,koi_prad_err2\",\n", ")\n", "\n", "period_rng = (50, 300)\n", "rp_rng = (0.75, 2.5)\n", "\n", "# Join on the stellar list.\n", "kois = pd.merge(kois, stlr[[\"kepid\"]], on=\"kepid\", how=\"inner\")\n", "\n", "# Only select the KOIs in the relevant part of parameter space.\n", "m = kois.koi_pdisposition == \"CANDIDATE\"\n", "m &= np.isfinite(kois.koi_period)\n", "m &= np.isfinite(kois.koi_prad)\n", "base_kois = pd.DataFrame(kois[m])\n", "m &= (period_rng[0] <= kois.koi_period) & (kois.koi_period <= period_rng[1])\n", "m &= (rp_rng[0] <= kois.koi_prad) & (kois.koi_prad <= rp_rng[1])\n", "\n", "kois = pd.DataFrame(kois[m])\n", "\n", "print(\"Selected {0} KOIs after cuts\".format(len(kois)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Burke et al. find 156 KOIs instead of our 154 again because of their pre-release version of the catalog and changing dispositions. As we'll see, this doesn't have a huge effect on the results even though there's some risk of being dominated by small number statistics.\n", "\n", "Now, let's plot the distribution of measured physical parameters in this catalog of KOIs. Unlike most versions of this plot, here we'll include the error bars on the radii as a reminder that many of the radii are very poorly constrained!" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:28:53.838883Z", "iopub.status.busy": "2022-06-06T11:28:53.838635Z", "iopub.status.idle": "2022-06-06T11:28:53.988933Z", "shell.execute_reply": "2022-06-06T11:28:53.988103Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "yerr = np.abs(np.array(base_kois[[\"koi_prad_err2\", \"koi_prad_err1\"]])).T\n", "pl.errorbar(\n", " base_kois.koi_period,\n", " base_kois.koi_prad,\n", " yerr=yerr,\n", " fmt=\".k\",\n", " ms=4,\n", " capsize=0,\n", " alpha=0.3,\n", ")\n", "pl.plot(kois.koi_period, kois.koi_prad, \".k\", ms=6)\n", "pl.fill_between(\n", " period_rng, [rp_rng[1], rp_rng[1]], [rp_rng[0], rp_rng[0]], color=\"g\", alpha=0.2\n", ")\n", "pl.xlim(period_rng + 10 * np.array([-1, 1]))\n", "pl.ylim(rp_rng + 0.5 * np.array([-1, 1]))\n", "pl.xlabel(\"period [days]\")\n", "pl.ylabel(\"$R_p \\, [R_\\oplus]$\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The detection efficiency model\n", "\n", "For this problem of population inference, an important ingredient is a detailed model of the efficiency with which the transit search pipeline detects transit signals. Burke et al. implement an analytic model for the detection efficiency that has been calibrated using simulations in a (submitted but unavailable) paper by Jessie Christiansen. The details of this model are given in the Burke et al. paper so I'll just go ahead and implement it and if you're interested, check out [the paper](http://arxiv.org/abs/1506.04175)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:28:53.996797Z", "iopub.status.busy": "2022-06-06T11:28:53.995015Z", "iopub.status.idle": "2022-06-06T11:28:54.310760Z", "shell.execute_reply": "2022-06-06T11:28:54.309076Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "from scipy.stats import gamma\n", "\n", "\n", "def get_duration(period, aor, e):\n", " \"\"\"\n", " Equation (1) from Burke et al. This estimates the transit\n", " duration in the same units as the input period. There is a\n", " typo in the paper (24/4 = 6 != 4).\n", "\n", " :param period: the period in any units of your choosing\n", " :param aor: the dimensionless semi-major axis (scaled\n", " by the stellar radius)\n", " :param e: the eccentricity of the orbit\n", "\n", " \"\"\"\n", " return 0.25 * period * np.sqrt(1 - e**2) / aor\n", "\n", "\n", "def get_a(period, mstar, Go4pi=2945.4625385377644 / (4 * np.pi * np.pi)):\n", " \"\"\"\n", " Compute the semi-major axis of an orbit in Solar radii.\n", "\n", " :param period: the period in days\n", " :param mstar: the stellar mass in Solar masses\n", "\n", " \"\"\"\n", " return (Go4pi * period * period * mstar) ** (1.0 / 3)\n", "\n", "\n", "def get_delta(k, c=1.0874, s=1.0187):\n", " \"\"\"\n", " Estimate the approximate expected transit depth as a function\n", " of radius ratio. There might be a typo here. In the paper it\n", " uses c + s*k but in the public code, it is c - s*k:\n", " https://github.com/christopherburke/KeplerPORTs\n", "\n", " :param k: the dimensionless radius ratio between the planet and\n", " the star\n", "\n", " \"\"\"\n", " delta_max = k * k * (c + s * k)\n", " return 0.84 * delta_max\n", "\n", "\n", "cdpp_cols = [k for k in stlr.keys() if k.startswith(\"rrmscdpp\")]\n", "cdpp_vals = np.array([k[-4:].replace(\"p\", \".\") for k in cdpp_cols], dtype=float)\n", "\n", "\n", "def get_mes(star, period, rp, tau, re=0.009171):\n", " \"\"\"\n", " Estimate the multiple event statistic value for a transit.\n", "\n", " :param star: a pandas row giving the stellar properties\n", " :param period: the period in days\n", " :param rp: the planet radius in Earth radii\n", " :param tau: the transit duration in hours\n", "\n", " \"\"\"\n", " # Interpolate to the correct CDPP for the duration.\n", " cdpp = np.array(star[cdpp_cols], dtype=float)\n", " sigma = np.interp(tau, cdpp_vals, cdpp)\n", "\n", " # Compute the radius ratio and estimate the S/N.\n", " k = rp * re / star.radius\n", " snr = get_delta(k) * 1e6 / sigma\n", "\n", " # Scale by the estimated number of transits.\n", " ntrn = star.dataspan * star.dutycycle / period\n", " return snr * np.sqrt(ntrn)\n", "\n", "\n", "# Pre-compute and freeze the gamma function from Equation (5) in\n", "# Burke et al.\n", "pgam = gamma(4.65, loc=0.0, scale=0.98)\n", "mesthres_cols = [k for k in stlr.keys() if k.startswith(\"mesthres\")]\n", "mesthres_vals = np.array([k[-4:].replace(\"p\", \".\") for k in mesthres_cols], dtype=float)\n", "\n", "\n", "def get_pdet(star, aor, period, rp, e):\n", " \"\"\"\n", " Equation (5) from Burke et al. Estimate the detection efficiency\n", " for a transit.\n", "\n", " :param star: a pandas row giving the stellar properties\n", " :param aor: the dimensionless semi-major axis (scaled\n", " by the stellar radius)\n", " :param period: the period in days\n", " :param rp: the planet radius in Earth radii\n", " :param e: the orbital eccentricity\n", "\n", " \"\"\"\n", " tau = get_duration(period, aor, e) * 24.0\n", " mes = get_mes(star, period, rp, tau)\n", " mest = np.interp(tau, mesthres_vals, np.array(star[mesthres_cols], dtype=float))\n", " x = mes - 4.1 - (mest - 7.1)\n", " return pgam.cdf(x)\n", "\n", "\n", "def get_pwin(star, period):\n", " \"\"\"\n", " Equation (6) from Burke et al. Estimates the window function\n", " using a binomial distribution.\n", "\n", " :param star: a pandas row giving the stellar properties\n", " :param period: the period in days\n", "\n", " \"\"\"\n", " M = star.dataspan / period\n", " f = star.dutycycle\n", " omf = 1.0 - f\n", " pw = (\n", " 1\n", " - omf**M\n", " - M * f * omf ** (M - 1)\n", " - 0.5 * M * (M - 1) * f * f * omf ** (M - 2)\n", " )\n", " msk = (pw >= 0.0) * (M >= 2.0)\n", " return pw * msk\n", "\n", "\n", "def get_pgeom(aor, e):\n", " \"\"\"\n", " The geometric transit probability.\n", "\n", " See e.g. Kipping (2014) for the eccentricity factor\n", " http://arxiv.org/abs/1408.1393\n", "\n", " :param aor: the dimensionless semi-major axis (scaled\n", " by the stellar radius)\n", " :param e: the orbital eccentricity\n", "\n", " \"\"\"\n", " return 1.0 / (aor * (1 - e * e)) * (aor > 1.0)\n", "\n", "\n", "def get_completeness(star, period, rp, e, with_geom=True):\n", " \"\"\"\n", " A helper function to combine all the completeness effects.\n", "\n", " :param star: a pandas row giving the stellar properties\n", " :param period: the period in days\n", " :param rp: the planet radius in Earth radii\n", " :param e: the orbital eccentricity\n", " :param with_geom: include the geometric transit probability?\n", "\n", " \"\"\"\n", " aor = get_a(period, star.mass) / star.radius\n", " pdet = get_pdet(star, aor, period, rp, e)\n", " pwin = get_pwin(star, period)\n", " if not with_geom:\n", " return pdet * pwin\n", " pgeom = get_pgeom(aor, e)\n", " return pdet * pwin * pgeom" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using this model, lets reproduce Figure 1 from the Burke paper. If you closely compare the figures, you'll find that they're not quite the same but the one in the paper was generated with an older (incomplete) version of the code (Burke, priv. comm.) and the model used is actually the same as this one so we'll roll with it!" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:28:54.315363Z", "iopub.status.busy": "2022-06-06T11:28:54.314895Z", "iopub.status.idle": "2022-06-06T11:28:54.607360Z", "shell.execute_reply": "2022-06-06T11:28:54.606656Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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REbh16xZatGiR7fFlMHKCCTAGQ0lSUlIAINugbqln4Wek3S/S7svsSExMzKd1ipHWHxoaitDQUF5sUBbpcVbksZMiPQfSsj/zu+63nDh27Bg6deoEAFi9ejXGjh2LQYMGoXLlykqLUzs7OwD4bXZ9VSMdrPG7cykVhD97mooVK4ZixYopLC8SiTB9+nR06dIF165dk1m3dOlSVKlSBevWrYOPjw/MzMzQtGlTbN68mfu4yEkQW1paws3NDW5ubujatStOnz6NJUuWYPHixVybvn79mu0sCS1atMD9+/dlgv1/xs/PD507d0ZcXByGDRuGzZs3y3TFS+sAAAMDA9StW1duH8WLF0f16tXh7++PR48eMQHGyBesC5LBUBLpSz8778LvxMD9+/dBP9K/KPxl102TX6T1jx49+rf1ExEGDBigFhuURdplp+h4SpGuy4/YUkTFihW5v8eMGQMvLy8kJyejS5cu+Pbtm1L7ko589PHxgUQiydU2OU1HlBPlypWDgYEBUlJS8PXrV4VlpB7GypUr53q/0hGNMTExcusGDhyIoKAgpKam4uvXrzh58iTq1avHCc9q1arluh4vLy8AsnFl5cuXBwCkpqYq3KZkyZIAFF8vN2/eRNu2bREXF4f58+dj27ZtcuIL+HHcRCIRsrKysj0Hv6uHwVAGJsAYDCWRBoNHR0crXK+oG9HR0RGA4q4yTcB3/XlBGrSenJyc7XyC0mOdmzkR88PmzZtRq1YtvHnzBr1791Yq/sfDwwOFCxfmUnfkxOPHj1G2bNlcB5QrwsjIiBM8QUFBCssEBgYCgFw6iN+JRKmY+zltQ07cuHEDANCsWTMAPzxvkyZNQt++fblYtV+Rxu79LHal6TSyi/H6+PEjAMh0GwLAkydP0LVrV6Snp2Pjxo2YM2dOtraamZmhcuXKICK8fv1aqXoYDGVhAozBUBJpnq87d+7Irfv06RMeP34st1zaVXH06FGF+3z37h0uXbqk8OueiPJjrkz9Pj4+iI2NVVjm6NGj3MtFG7CysoKzszMA4MKFCwrLSOPplMkNlRdMTExw4sQJFC1aFNevX4e3t3eut7WwsMD48eMBAJMnT8anT5+yLZuQkIDBgwfjy5cv+T4X0ni1I0eOyK3LysrixKCnpyeAH0HyNWrUQKFChbLtxpNev02aNOGW3b9/H2PGjMHy5cvlykdGRuL8+fMoUqQI2rVrB+DH8Th06BAOHTok15UpRSoapR8OALgcbLt375YrT0TcvlxdXbnlSUlJXLfjypUrMXr0aIX1/czv6vn06ROePHkiVw+DkSc0m/WCwRA++/btI+DHRNSRkZHc8szMTOrVqxcZGhoqzANmbGxMBgYGdO7cOZn9xcfHcxMkr127llv+9etXwv+frDgpKUlmmxMnTlDlypWpd+/euba7VatWBIC8vLzkJtD+999/ualyfiYvecCmTZtGlStXzlXuLCnZ5QHbunUrl+8qKipKZp10PsNSpUrJ5KeS5gH73//+l+v6peA3c0ESEV28eJH09PQIgNzEz7+biigtLY3Ll+Xo6Eh+fn5yZR49ekT169fncmb9bsqi3GTCj4mJoSJFipC+vj5du3ZNZt3MmTMJALVs2VJm+ZAhQwgA1atXj75+/Sqz7sqVK6Svr08ikUhmbskHDx4QADIzM6PQ0FBueVJSEnfNLVu2TGZfU6ZM4fK7/ToXZEBAAJmamhIA2rlzJ7dcIpFwE2KvW7dOZpvly5cT/v9ckN++feOWT506lQBQjx49sj1OvxIVFUWmpqZkamoqM3NBWloade/enQBQkyZNcr0/BiM7WBA+g6Ekffv2xYYNG+Dv74+aNWvCw8MDRkZG8PX1hUQigZeXF3bs2CGzTYUKFbB582YMHToUnTp1gpubG5ycnPDt2zdcuXIFcXFxaNmyJUaOHMltU6xYMdjZ2eH9+/eoXbs2ypcvjzFjxqBz586Ij4/HixcvUKRIkVzbvXPnTri5uWHv3r3w8/NDy5YtIZFIEBgYiCdPnqBIkSIqyUP26dMnvHjxIttuQ2UYNmwYrly5gmPHjqFq1apwc3ODlZUVHj9+jKCgIJiZmeHAgQO/DdRXJe7u7pg3bx7mzJmDkSNHokqVKr/N6C7F2NgY169fR//+/XH+/Hk0bdoUNWrUQO3atWFiYoLnz5/j5s2bICJ07NgR//33H0xNTbntAwICcPDgQe5/qXcsNjZWZlRrhQoVMG7cOAA/Asb37NmDnj17wt3dHe7u7ihTpgwePHiAwMBAlC1bFjt37pSxc+nSpbh79y4CAwNRoUIFtGjRAjY2Nnj27Blu3rwJAFi2bJmMx7FOnTr4888/sXLlStSvXx+dOnWCubk5Ll++jI8fP6Jr165yHsOFCxciICAAt2/fhrOzM9zc3FCmTBm8efOGi5Xr0aMHBg4cyG0jEolw+PBhNGnSBOPHj8fRo0dRrVo1PHnyBH5+fjA0NMTu3bu57tHExESZUY6/y+UmPT7Aj4z+e/fuRZ8+fdCsWTN4eHjA2toavr6+ePnyJWxtbeWOG4ORJ/hWgAyGEImLi6NJkyZR2bJlydDQkGxtbWnw4MEUHR3NfXUrmgvy/v375OnpSba2tmRgYEDm5ubUsGFDWrdunZxXiuhHlvzKlStz801KJ06WZixv0KCBUnZLJxOuWrUqmZiYkJGREVWoUIHGjBlD7969kyufFw9YXjxQv5uMOysri7Zu3Uqurq5kbm5ORkZGZG9vT0OHDqWXL1+qpH4pyMEDRvTDE9OxY0cCQKVLl+Yy9P/OA/Yzly5dIi8vL3J0dCQzMzMyMjIiOzs76tu3L929e1fhNtLzndNP0fkIDg6mnj17UokSJcjIyIjKly9PkydPlvNwSUlMTKSFCxdSrVq1yMzMjJt7s0+fPnTv3r1s27Vz506qV68eFSlShMzMzMjFxYU2btxIEolEYfmMjAzauHEjNW7cmPPUWVlZUYsWLWj37t3Zbvfp0ycaPXo02dnZkZGREVlbW1OvXr1kJvsm+r+ZJHLzU3SvBgYGUrdu3bjj5uDgQBMmTKDo6OhsjwGDoQwiIhUEmDAYDAaDwWAwcg0LwmcwGAwGg8HQMIIQYBERERg0aBBsbGxgbGwMR0dH9OnTR2Y6jOzYvXs3RCJRtr+lS5fKlI+NjcW4ceNgb28PIyMj2NjYwMvLS1DD9xkMBoPBYGg3Wh+E//TpU7i6usLS0hILFiyAk5MTHj58iPnz5+Pq1asICQnhpiP5HZs3b+Ymjf2ZMmXKcH+npaXBzc0N7969w6JFi+Di4oLXr19jxowZaNy4MUJCQrLNEs1gMBgMBoORW7RegM2cORMJCQnw9/eHk5MTgB8J/aysrODl5YUtW7Zg0aJFOe6ncuXKCqeW+JlNmzYhNDQU+/fvR//+/QH8yPXi6OiIxo0bY8mSJVixYkX+G8VgMBgMBqNAo/VdkCNHjsTBgwc58SVFKqbevHmjsroOHToEMzMzLjGhFFdXV1SqVAmHDh1SWV0MBoPBYDAKLlrvAZPmZvmVsLAwAP83P1h+ycrKwqNHj1CjRg0YGhrKra9RowaOHTuGT58+wdbWViV1MhgMBoPBKJhovQBTRExMDLy9vWWm+MiJY8eOYerUqQgNDYWenh5q1qyJiRMnonfv3gCAuLg4pKenw9raWuH20uWKBFh6errMxMwSiQSxsbEoVqwYN6cZg8FgMBgM7YaIkJiYiFKlSkFPT72dhIITYFFRUejYsSMiIyNx5syZbAXTrwQFBWHy5MlwcHBAeHg4li5dij59+uDDhw/w9vbmZrY3MjJSuL2xsTEAcOV+ZsmSJZg/f34eW8RgMBgMBkOb+PDhg8wgPXUgqESswcHB3DQsR48ezbZ78mdSU1MRHx+PEiVKQF9fn1seFxeHqlWrIi4uDl++fEF6ejqKFy8ODw8PnDt3Tm4/Y8eOxcaNGxEcHIzatWvLrPvVAxYfHw87Ozt8+PABFhYW+Wgxg6G9hIaG4vXr10hKSoKhoSGKFSsGZ2dn2NjY8G1arkhOTkapUqUA/PiwMzMzU+n+o6Ojcf36dbx8+RIJCQkAgCJFisDJyQmtW7fWiRHVGRkZOHnyJKKiolCxYkW0b99e5jmraxSEc5odsbGx2LFjB3eu+/bti6JFi/JtFoC838uKrt/k5GSULVsWcXFxsLS0VKfZwpmK6MyZM2RqakqOjo4yE77mh8GDBxMA8vf3p6ysLDIxMSEXFxeFZbt27UoA6PPnzznuNz4+ngBQfHy8SuxkMLSJDRs2kI2NDenp6ZFIJCKRSMT9raenR66urnTnzh2+zcyRpKQkbiqaXyc7zw+ZmZk0ZswYMjAwIJFIRMbGxlS8eHEqXrw4GRsbk0gkIiMjozxNlcQX1atXp9jYWJllX758IWdnZ+4aEIlEVKNGjWynOBIyunhOs8Pc3JxiYmJklkVERJCtrS2JRCIyNzcnkUhEpUuXprdv3/JkpSw53cvKXL/SKaw08f7W+lGQAHD+/Hn07NkTdevWRUBAAJydnZXa/mfv1M8kJycDAExMTKCnpwcXFxc8ffpUYfkHDx7AwcEh112eDIYusnbtWkyaNAl9+/aFj48PwsLCcODAAdSoUQMXLlzAvXv34OLigtatW8PX15dvc3lhxowZOHbsGDZs2IB3794hLS0NMTExiImJQVpaGiIiIrB06VJs3bo1Vyl0tIEnT54gMzNTZtns2bMRFxeHq1evIiYmBufPn0d8fDxmzZrFk5XqQxfPaXYkJSVBIpHILJs5cyaKFi2KV69eISEhAWFhYShevDhmzpzJk5XKocz1u3DhQs0ZpnaJl0/CwsLIxMSEmjVrRikpKUpv7+rqSpaWlvTt2zeZ5Z8/fyYrKyuytbUlsVhMRESbN28mALRz506ZshcvXsx2wlZFMA8YQ1dxdHSkrVu3yi2/d+8eOTk5cf+vWrWKGjZsqEnTlEZdHrDSpUvTmTNncix36tQpsre3V1m96kQkEsl5/8uWLUsHDhyQWXby5EkqXbq0Jk3TCLp4TrND0bm2tbWlU6dOySy7evUqWVtba9K0bMnpXlbm+i1VqpTG3t9aL8BatmxJ+vr6dPLkSQoMDJT7PX78mCu7Z88e0tfXpw0bNnDLzp07RwYGBuTs7Ex79+4lPz8/2r17N1WqVIn09fXp2LFjXNnMzExq2LAhmZub05o1a+jOnTu0fft2Kl68ODk5OeX6Ic0EGENXMTY2poiICLnlYrGY9PX1uYfc27dvycTERNPmKYW6BJixsXGuumbevXtHhQoVUlm96kTRC6xUqVIUFhYms+zNmzdkbGysSdM0gi6e0+xQdK7t7OwUnmttaWteBNjvrl9Nvb+1vgvSx8cHWVlZ6NatG+rVqyf369SpE1dWIpEgKytLxn3q4eGBW7duoXz58pg0aRLc3Nzg7e0NJycn+Pn5oUePHlxZAwMDXL58GcOGDcPKlSvh5uaGuXPnolevXvDz81N5kC6DITTs7Oxw/vx5ueUXL14EABQqVAgA8Pz58wI7AMXR0RGnT5/Osdzx48dRoUIFDVikHmrWrCmXCDs8PFwnwzQKyjmV8mv6pHr16nG5N6U8evRI0Dkxs7t+S5QooTEbBDUKUigkJCTA0tIS8fHxBfYlxNBNVqxYgVmzZmHIkCFo3rw5DAwMEBAQgM2bN6Nz587Yt28fbt++jZ49e6Jjx47Yvn073yZnS3JyMgoXLgzgR9yLqj6wtm/fjpEjR6Jfv37o0KEDHB0dYW5uDuDHsyE8PBxnz57FsWPHsG/fPvTt21cl9aoTPT09/PXXXzLHKCgoCImJiVys34sXL9C7d2/UrFkTe/bs4ctUtaCL5zQ79PT00Lt3b5iYmHDLwsPDkZqaisDAQACAn58f/vjjD3Tu3Blr167ly1SOnO5lZa7fqlWr4r///tPI+5sJMDXABBhDl5kxYwZWr16NtLQ0AIC+vj4GDx6M1atXw9TUFGfOnMGBAwewY8cO7qGojahLgAHA3r17sWDBAkRERMh5E4gITk5OWLhwoYwHXpspV66cwqTS1tbWuH//PgBg4MCBuHnzJm7dugU7OztNm6h2dO2cZoebm5vCc21lZYXjx48DAIYOHYrQ0FBcunQJVlZWmjZRjpzu5eyu3xIlSiAgIADA/12/58+fh7OzMxNgQoUJMIauk5KSgqdPn8LQ0BAVKlQQZPe8OgWYlFevXinMGeXg4KDyuvjm+fPnKFu2rCCvBWUIDw/HixcvCsQ5zY4vX75oVVezKu5l6fWblZWlsfc3E2BqgAkwRkHh69evSExM5BKx/txtoe1oQoABwj5GUt6/f48yZcqofWoWIfLx40dERkbC0dERxYsX59scjZGZmYl79+6hWbNmfJui1L389u1bPH/+HPHx8QCAokWLomrVqlzWe02+v9ndxGAwlCIkJAS9e/dG0aJFUbJkSVSoUAH29vYwNzeHk5MTZs2ahdjYWL7N5BVdO0blypVD9erVcfXqVb5N4YUJEyZweSOlZGZmYvjw4bC3t4erqytsbW0xevRouRxaQkMsFmP27Nncx4Kbmxvu3r0rVy42NhYtWrTgwcK8cfToUVSpUgWOjo7o0KED+vbti759+8Ld3R329vaoXbs2N5hIUzABxmAwcs21a9fQsGFDhIeHY9KkSVi/fj2GDRuGEiVKYMOGDRgyZAjOnz+PWrVq4e3bt3ybywu6eoxatGiBzp07o3Pnznj48CHf5miUDRs2yAmwVatWYd++fZgxYwaOHDmCKVOmYPfu3VixYgVPVqqG5cuXY9myZWjfvj0mTJiAb9++wc3NDTt27JArK5QOtN27d6Nv376oXbs2du/ejTt37iA0NBShoaG4ffs2duzYATs7O3Tq1AlnzpzRnGFqT3RRAGF5wBi6St26dWnMmDFyy/fv309t2rQhIqKsrCwaNGgQdevWTdPmKYW68oDp0jGSIs2j9OrVK+rQoQPp6elR27Zt6cKFC5Sens63eWpHUR4pJycnWrZsmcyydevWySQkFiJOTk60bds27n+xWEx//vkn6evr03///cctj46OJj09PT5MlCOne7lKlSq0Zs2aHPezbNkyql69OkvEKmSYAGPoKoUKFVKYiDUzM5MMDQ0pLi6OiIieP39OlpaWGrZOOdQlwHTpGEn5VYD4+/tTly5dSE9PjwoXLkxdunShf/75h44fP07Xrl3j0VL1oEiAlShRgkJCQmSWhYeHCz4RrampqcLrd8qUKVSoUCHy9fUlImEJMCMjI3r9+nWO+5Em0tXU+5t1QTIYjFxTpEgRPH36VG75ixcvkJWVxc2jmpKSomnTtIaCcIwaNGiAU6dOITw8HHPnzsXXr18xffp09OzZE23btuXbPI3g6OiIpKQkmWXx8fGwtLTkySLVUKZMGTx+/Fhu+cqVK9G9e3d07doV/v7+PFiWd6ytrfH8+fMcyz1+/FijAymYAGMwGLmma9euGDFiBI4cOYLPnz/j27dvuHjxIjw9PVG3bl1YW1vjzZs3GDduHBo2bMi3ubygi8dIUQ4lAHBwcIC3tzdu376NpKQkhISE4Pr16xq2TjPcu3cPt27d4n61atXCtm3buPUSiQRLlixBrVq1+DNSBXTv3h0jR47E/v375Saw3rNnD9q3b4/WrVtj9erV/BiYB3r37o3Bgwdjx44d+PTpk9z6yMhIbN68GYMHD9ZsEl21+9gKIKwLkqGrxMfHU+PGjUkkEpGenh7p6emRSCSiKlWqcN0W+/fvp7Jly9KzZ894tvb3qKsLUpeOkRRFXXAFCem5FIlEMj9bW1uuzKBBg8jY2Jj8/Px4tDT/JCcnU6dOnUhPTy/bcz5v3jwyMjISTBdkeno6DR48mLsfTUxMyNramqytrcnExIT09PRIX1+fxo8fT9+/f9fY+5vlAVMDLA8YQ9fx8fFBcHAwDA0NUblyZbRt25bLEZWUlARjY2MYGhrybOXvUXceMF04RlL27NmDPn36wNjYmG9TeOHdu3cKl+vr63P5o86cOYPSpUvDxcVFk6apjefPn8PJySnb9R8+fICvry+8vLw0aJVicnsvv3//HpcvX1aYHNnd3R22trYafX8zAaYGmABjMLQfTSViZTAY6kWV9zJLxMpgMATN3bt3ceXKFb7N0Gp08RjpYpuUoSC1XxfbevfuXY3GMDIPmBpgHjBGQadKlSp4+fIlsrKy+DZFa9HFY6SLbVKGgtR+bWqrqjxg0jZJJBKNvL8N1Lp3BoNRINm7d6+g0yxoAl08RrrYJmUoSO3Xxbbu3bsXMTEx8PDw0Eh9zAOmBpgHjKHrfPr0CZcvX1Y4qa27u3uBmpQ4O3TxGOlim5ShILVfSG3NrQcsN23S6Ptb7eMsCyAsDQVDV8nMzKQxY8aQgYEBiUQiMjY2puLFi1Px4sXJ2NiYRCIRGRkZ0f/+9z++TeUNXTxGutgmZShI7RdiW3NKQ6FMmzT5/mYCTA0wAcbQVf766y+ytramLVu20Pv37+XWv3nzhlatWkVFixalhQsX8mAh/+jiMdLFNilDQWq/ENuakwBTpk2zZs1iAkzIMAHG0FVKly5NZ86cybHcqVOnyN7eXv0GaSG6eIx0sU3KUJDaL8S25iTAlGmTnZ0dmwuSwWBoH1+/fkWNGjVyLFe7dm18/vxZAxZpH7p4jHSxTcpQkNqvi21Vpk1fvnzRgEU/YAKMwWDkGkdHR5w+fTrHcsePH0eFChU0YJH2oYvHSBfbpAwFqf262FZl2lS+fHkNWPQDloaCwWDkmsmTJ2PkyJEIDAxEhw4d4OjoCHNzcwA/Rv+Gh4fj7NmzOHbsGPbt28eztb8nIyMDR44cQWRkJCpXroxOnTpBX18/3/vVpWMkRRfbpAwFqf262FZl2rR161YMHTpUM4apvZOzAMJiwBi6zJ49e8jR0VFmsulfJ50+duwY32ZyVK9enWJjY2WWffnyhZydnWUmVq5RowZ9/fpVJXUK7RjlBl1skzIUpPYLra05xYAR5b5Nmnx/szxgaoDlAWMUBMLDw/HixQu5SW0dHBx4tkwWPT09REdHw9ramls2atQonD9/Hrt370atWrUQEBCA0aNHo3379ti0aZPK6hbKMVIGXWyTMhSk9gulrcpkws+pTWwyboHDBBiDoT0oEmB2dnZYunQp+vXrxy07deoUxo0bh48fP/JhJoPByCNsMm4Gg8EQCFlZWahVq5bMslq1auHr16/8GMRgMAocTIAxGIwCR82aNfHmzRuZZeHh4TJeMgaDwVAnTIAxGIx8c+XKFfTs2RPLly/n2xSFrFy5EgsWLOB+BgYGWLFiBbf+xYsX8Pb2RosWLdRmQ0hICHr27Alvb2+11aFp7t69i549e2Lu3Ll8m8ILPj4+6NmzJ5YsWcK3KRphypQpGDZsmM5002/atAk9e/bEiRMneKmfpaFgMBj5JiIiAsePH4c2hpTa2dnhyJEjcstLlCjB/f33338jLi4OCxcuVJsdX758wfHjx1GzZk211aFpPn78iOPHjxfYrtt3797h+PHjSEtL49sUjXDw4EF8/vwZEydORJkyZfg2J988ePAAx48fR506dXipnwkwBoOh07x9+zbHMtOnT8fGjRvzFbzLYDAYysAEGIPBKFB8/foViYmJMDQ0RLFixWBiYgInJye+zWIwGAUMFgPGYDB0npCQEPTu3RtFixZFyZIlUaFCBdjb28Pc3BxOTk6YNWsWYmNj+TaTwWAUIAQhwCIiIjBo0CDY2NjA2NgYjo6O6NOnD16+fJmr7RMSEjBnzhw4OjrC2NgYpUuXRps2bXD58mWZcvPmzYNIJMr2d+jQIXU0j8FgqJFr166hYcOGCA8Px6RJk7B+/XoMGzYMJUqUwIYNGzBkyBCcP38etWrVylV3JYPBYKgCre+CfPr0KVxdXWFpaYkFCxbAyckJDx8+xPz583H16lWEhISgbNmy2W6fnJyM5s2b48WLF5g2bRqaNWuGT58+YdGiRWjfvj1Onz6NTp06yWxz5swZ2Nrayu3L0dFR5e1jMBjqZfr06Rg6dCg2bNggs7xZs2bYs2cPrly5Am9vbwwdOhRTpkzhbUQUg8EoWGi9AJs5cyYSEhLg7+/PxWk0a9YMVlZW8PLywpYtW7Bo0aJst9++fTtCQkKwefNmjBw5klveuHFjlCtXDsuWLZMTYNWrV0e5cuXU0h4Gg6FZnjx5onAUZO/evTF48GDEx8fD0tIS06ZNQ4MGDXiwkMFgFES0vgty5MiROHjwoFyQbN26dQFALpnirzRt2hS7du2SmXIE+DE0vUSJEjluz2AwhE2RIkXw9OlTueUvXrxAVlYW0tPTAQApKSmaNo3BYBRgtN4D5u7urnB5WFgYAKB8+fK/3b5OnToKc3x8/vwZ3759Q6NGjfJvJIPB0Fq6du2KESNG4N9//0Xz5s1hYGCAgIAAeHt7o27durC2tsabN28wbtw4NGzYkG9zGQxGAUHrPWCKiImJgbe3NywsLDB+/Hilt5dIJBg2bBiysrIwc+ZMufWbN2+Gs7MzjI2NYWFhgdatW+Pq1avZ7i89PR0JCQkyPwaDoR0sW7YMDg4O6NOnD0qVKgVra2t4eHiAiLiBNXfv3sWHDx+wevVqfo1lMBgFBq33gP1KVFQUOnbsiMjISJw5c0bpudsyMjIwbNgwnDt3DjNnzlToYXv06BEWLlwIGxsbPHnyBIsWLUK7du1w+PBh9OrVS678kiVLMH/+/Dy3icFgqA8LCwvcvn0bPj4+CA4OhqGhISpXroy2bdtCT+/HN2iXLl3g6ekJQ0NDnq1lMBgFBUEJsODgYHTu3Bnx8fE4e/Zstt2T2fH161d0794dfn5+WLBgAWbPni2z3tvbG6NHj0bJkiW5ZY0aNULr1q3h7OwMb29vhQJs+vTpmDJlCvd/QkLCb0dmMhgMzdOyZUu0bNlS4brChQtr2BoGg1HQEYwAO3v2LPr06QNbW1tcunQJzs7OSm3/6tUruLu74/Pnzzhy5IhCIVW4cGGFD2IHBwc0aNAAvr6++Pz5s4xAAwBjY2MYGxsr1yAGg6FV3L17F0lJSWjbti3fpjAYjAKAIATY+fPn0bNnTzRs2BAnT56ElZWVUtu/efMGLVu2BBHh9u3bqFWrVrZl09PTFYqp5ORkAICJiYlSdTMYDGEwdOhQvHz5EllZWXybwmAwlMDMzAxExLcZSqP1Auzp06fo1asXGjZsiEuXLiktgFJTU+Hh4QGxWIzbt29nm0xVLBbD0dERRkZGePLkiYwIe/r0KUJCQlC/fn1YWFjkqz0MBkM72bt3L0tFwWAwNIbWC7Dx48cjIyMDkydP5lJP/IyxsTGqV68O4McDdMiQIVi7di3GjBkDAFixYgWePXuGuXPn4vv37wgKCpLbR40aNWBkZIQZM2Zg1KhRaNWqFSZOnAgbGxuEhoZi0aJF0NfXZyOkGAwB8+nTJ1y+fBnPnz9HfHw8AKBo0aKoWrUq3N3dUa9ePZ4tZDAYBQmtF2A+Pj4AgG7duilcb29vz83fJpFIkJWVBYlEwq2/fv06AGD+/PnZjlR88+YNypUrh5EjR8LOzg4rV67EsGHDkJKSghIlSsDNzQ2zZs1C1apVVdgyBoOhCcRiMSZOnIitW7ciKysLRkZGMDc3BwAkJiYiIyMDhoaGmDx5MpYuXcqztQwGo6Cg9QJMmX7dQYMGYdCgQTLLbty4oVR97du3R/v27ZXahsFgaC8zZszAsWPHsGHDBrRv315uhPLbt29x8uRJLFy4EIULF8asWbN4spTBYBQkBJmIlcFgMHLLwYMHsX37dowYMUJhephy5cph8uTJ2LVrF7Zv386DhQwGoyDCBBiDwdBpvn79iho1auRYrnbt2vj8+bMGLGIwGAwmwBgMho7j6OiI06dP51ju+PHjqFChggYsYjAY2oRIJOKlXq2PAWMwGIz8MHnyZIwcORKBgYHo0KEDHB0duSD8hIQEhIeH4+zZszh27Bj27dvHs7UMBiMnfjeiuV27dihRogTPFuYOJsAYDIZOM2zYMBgZGWHBggU4cOCA3NcuEcHJyQmHDx9Gjx49eLKSwWDkxM8jmiUSicIRzQYGBpg4cSKWLVvGm2crtzABxmAwdB4vLy94eXkhPDwcL168QEJCAgCgSJEicHJygoODA88WMhiMnJg5cyaOHz+OjRs3wt3dXW5Qzbt373Dq1CksWLAA5ubmcvM9axtMgDEYjAJDhQoVWJwXgyFQDh48iK1bt6Jz584K19vb22PixIlwcHDAhAkTtF6AsSB8BoPBYDAYWk9uRzTXqlVLECOamQBjMBgMBoOh9eR2RPOJEycE4elmXZAMBqNAEhQUhNOnT8PJyQn9+/fn2xwGg5EDU6ZMwYgRIxAYGAgPDw+UL19eJghfaCOamQBjMBgFkpCQECxatAidO3dmAozBEABDhgyBkZER5s+fj//++09hGSGNaGYCjMFgMBgMhiAYMGAABgwYgNevX8uNaK5cubKgRjQzAcZgMBgMBkNQODo6wtHRUeE6iUSCDx8+wN7eXsNWKQcLwmcwGAwGg6EzxMTEoHz58nybkSNMgDEYDAaDwWBoGNYFyWAwGAwGQ+vZunUriCjHKYakcWHaDhNgDAaDwWAwcoSIeK1/9OjRuS7Lt625gQkwBoPBYDAYWo+XlxcCAwNx+vRpGBj8kC+KvGExMTGoX7++ps1TGibAGAwGg8FgaD0bN25E3bp1sWHDBqxatSrbcoUKFdKgVXmHBeEzGAwGg8HQekxMTHDkyBFERkYiIiIi23JC6H4EmAeMwWAwGAyGQKhWrRoOHz782zIlS5ZEVlaWhizKO8wDxmAwGAwGg6FhmABjMBgMBoOhM9y9exdXrlzh24wcYV2QDAaDwWAwck1Oebj4ZujQoXj58qXWd0MyAcZgMBgMBkNn2Lt3L1JTU/k2I0eYAGMwGAwGgyEYoqKicPnyZTx//hzx8fEQiUQoWrQoqlatCnd3d9SrV49vE3MFE2AMBoPBYDC0HrFYjAkTJnBTEhkZGcHc3BxEhMTERGRkZMDQ0BCTJk3CsmXL+DY3R1gQPoPBYDAYeUAo+aZ0hRkzZuDEiRPYtGkT3r17h9TUVHz58gUxMTFIS0tDREQEli1bhm3btmHhwoU57o/v88cEGIPBYDAYDK3n4MGD2LZtG4YPH44yZcrIrS9XrhwmTZqE3bt3Y8eOHTxYqBxMgDEYDAaDwcgRvj1GX79+RY0aNXIsV6tWLXz+/FkDFuUPJsAYDAaDwWBoPY6Ojjh16lSO5Y4fP44KFSqo36B8woLwGQwGg5EvtD0vFEM3mDJlCkaMGIHAwEB4eHjA0dGRC8JPSEhAeHg4zp49i+PHj2Pfvn18m5sjgvCARUREYNCgQbCxsYGxsTEcHR3Rp08fvHz5Mlfbp6amYsaMGahYsSKMjIxQrFgxdO/eHWFhYXJlY2NjMW7cONjb28PIyAg2Njbw8vLC+/fvVd0sBoPBYOgABU2A8tXeoUOHYvfu3fD398eAAQPQqFEjODs7o3r16mjcuDEGDhyIJ0+e4MiRI+jbty8vNiqD1nvAnj59CldXV1haWmLBggVwcnLCw4cPMX/+fFy9ehUhISEoW7ZsttsTEbp27YobN25gzpw5cHNzQ3R0NObMmYPGjRsjICAAlSpVAgCkpaXBzc0N7969w6JFi+Di4oLXr19jxowZaNy4MUJCQlCsWDFNNZ3BYDAYDMZP/PHHH/jjjz8QHh6OFy9eICEhASKRCEWKFIGTkxPKlSun9D75EpRaL8BmzpyJhIQE+Pv7w8nJCQDQrFkzWFlZwcvLC1u2bMGiRYuy3f7UqVO4cuUKFi1ahJkzZ3LL69ati4oVK2LGjBk4duwYAGDTpk0IDQ3F/v370b9/fwCAq6srHB0d0bhxYyxZsgQrVqxQY2sZDAaDwWDkRIUKFQQR5/U7tL4LcuTIkTh48CAnvqTUrVsXAPDmzZvfbn/o0CEAwODBg2WW29vbo0WLFjhz5gxSUlK4smZmZvD09JQp6+rqikqVKnH7YjAYDAajoMH3KEhdQ+sFmLu7O/r06SO3XBq/Vb58+d9uHxwcjBIlSqBUqVJy62rUqIHMzEw8evQIWVlZePToEapWrQpDQ0OFZSMjI/Hp06c8toTBYDAYugQTJIz8oPUCTBExMTHw9vaGhYUFxo8f/9uy0dHRsLa2VrhOuvzTp0+Ii4tDenp6rsoyGAwGg1FQ0bZBB6GhoThw4AACAgL4NkUpBCfAoqKi0K5dO0RGRuLQoUPZCiYpKSkpMDIyUrjO2NiYKyPthsxN2V9JT09HQkKCzI/BYDAYDIb6OXXqFAYMGICdO3cqtR3fHkxBCbDg4GDUr18fr169wtmzZ9G+ffsctzE1NUVGRobCdenp6QAAMzMzmJqaAkCuyv7KkiVLYGlpyf1+NyqTwWAwGAwhwrdgyQ5ttSsnBCPAzp49i6ZNm6JQoUK4d+8e3N3dc7Vd6dKlER0drXBdVFQUV6Zo0aIwMTHJVdlfmT59OuLj47nfhw8fcmUbg8FgMISPtnXJMYSBIATY+fPn0bNnT9StWxcBAQFwdnbO9bb16tXDt2/fFIqiBw8ewMTEBDVq1ICenh5cXFzw9OlTztv1a1kHBweFXZ7GxsawsLCQ+TEYDAaDoYvomuDkqz1aL8CePn2KXr16oWHDhrh06RKsrKyU2n7AgAEAgO3bt8ssDwsLw507d+Dp6YlChQpxZVNTU3Hw4EGZspcuXcKHDx/g5eWVj5YwGAyGbiHUrh9VUdDar63tldolNGGo9YlYx48fj4yMDEyePFnh1EHGxsaoXr06AGDv3r0YMmQI1q5dizFjxgAA2rVrh549e+Lvv/+GgYEBWrZsiQ8fPmDGjBmwtrbG4sWLuX1JpzmYOHEiEhMTUbduXTx79gzTpk2Dk5MT/vrrL800msFgMBgMLUVoQic7+BaUWi/AfHx8AADdunVTuN7e3h5v374FAEgkEmRlZUEikciUOXDgAJYuXYp9+/Zh4cKFKFq0KNq2bYuFCxfKxHQZGBjg8uXLmDdvHlauXIlPnz7B2toavXr1woIFCxQG4DMYDIYy6MrLi/F/FJRzyrdgyQmhnQetF2DKnPBBgwZh0KBBcsuNjIwwZ84czJkzJ8d9WFhYYNWqVVi1apUyZjIYDAajgKHtgoSh3Wh9DBiDwWAwtBuheR4YeUNbY63yK4RZED6DwWAwGAJE2wRJQUVo54EJMAaDwWAw8kBB64LUNQ8Y3+ePCTAGg8Fg5Am+X2AMzaKt51tb7coJJsAYDEaBRKgPbYb2oK0eIXUhba+ennZKB2XPA9/nTzuPIoPBYDAEQ0ERINlR0NvPN3wLqbzCBBiDwWAwGHmgoHlRhSp0coJ5wBgMBkOH0cWXtS62SRl0VZBkh7a2N6928X39MgHGYDAYDAYjR/gWLLoGE2AMBoPByBfa5hHRFNrqEVIX2tre/NrFuiAZDAajAKBtL6/8UNA9ItoqSNSFtraXdUEyGIwCC98PsvygbS8ThnAQ8nWfFyQSCQDtu2fyK8CYB4zBYDAYgoLvFxjfaHteLFWjre1lAozBYDAY2VLQvCUFAb5f4JpG1wQY32jXUWQwGAyGYBDqi09VFLT2a2t7mQeMwWAwBARfHilte3kx8g7fL3BNo2sxYHzDBBiDwWAw8oRQX3yqoqC1X9e6IPk+f9p1FBkMBkNH0cUYML5fYHyjrR4hdfDz9attAiyv54Hv61e7jiKDwRA0QnwRCdFmbUEXRaUyaKtHSB1IRQ6gfe3N63lgAozBYDB4QNPige+HvTooSAJEEVJRUhDar80CLK/nge97UruOIoPBYDAEA98vML5hAkw7YDFgDAaDwcgWvh/26kAX26QMBSkGTCwWc3/r6+vzaIk8zAPGYDAYAqQgvDzVBd8vML6Rvvi1TZCog589YNrWXibAGAxGgUWIwdgsBiz/6GKblKEgdUFmZWVxf2tbe5kAYzAYDEaBgu8XGN9IRYm2CRJ18LMAMzAw4NESefLaFcx3F7LuXzUMBoOhAE2LB10UK7rYJmWQihJt65JTB8wDpnq06ygyGAxBI6QXMRNg+acgeYAUIW2/tnmE1IE0CF9fX1/rruG8nge+Y/gK5l3DYDBUihBjwDSNLgqwgp4HrCAJUG329jEPGIPBYAgI5gHLP3zH0PCNNosSVSP1gGmjty+v54Hv65cJMAaDoTIK6os4N+iyACsIAkQRUlFiaGjIsyXqJzMzE4B2tjW/AowvDyYTYAwGI98IsQuSecDyD98vML75OS5K19FFDxjfXegF865hMBgFHibA8k9BioFSBPOAaQd5FYd8f0AI5q6Jj4+Hl5cXRCIRevbsmatt3NzcIBKJfvt7+/YtAGDevHm/LXfo0CE1to7BEDZCFBeatpnveBN1wLogtdcrpGoyMjIAaKcAE2oXpCCummvXrmHw4MFKd3Ns2bIFiYmJCtf98ccfEIvFsLW1lVl+5swZuWUA4OjoqFTdDEZBQohdkD9PraLJ+nTJW1SQgtAVoc2iRNUIwQOm7HXI9/Wr9QIsOjoabdu2xYgRIzBhwgRUq1Yt19tWrlxZ4fLt27fj+fPn8PHxgbGxscy66tWro1y5cvkxmcEosAjJu6Pp+A++403UQUHyAClCKkqMjIx4tkT9SMXmr+9MbUCoXZBaf9cYGhrixIkT6Nq1K9ddmB+ioqLg7e2NoUOHokWLFvk3kMFgCLoLUlMPX74f9uqAbw8C30hFSUEQYOnp6QC0W4Ap653j+/rV+idBsWLF0LVrV5Xtb/r06ZBIJFi2bJnK9slgFHSELMA0ZbMuBqwXdA8YE2DaQV67R5kA0yBhYWHYv38/Jk2ahGLFiikss3nzZjg7O8PY2BgWFhZo3bo1rl69qmFLGQxhIeQYME0H4TMBpjtIRUlBEmDa2FapAFP2OuT7o0h3ngS5YNasWbCwsMCUKVOyLfPo0SMsXLgQN27cwMqVK/Hq1Su0a9cOR48ezXab9PR0JCQkyPwYjIKIED1gmu6C1KXuOm0OzNYE2uwVUjVpaWkAgEKFCvFsiTx5jcVjHjANERERgdOnT8PLywtFihSRW+/t7Y3o6GhcvHgR3bp1Q6NGjTB8+HDcuHEDJiYm8Pb2znbfS5YsgaWlJfcrW7asGlvCYGgfQuyC1LRHiu+vbXXAPGA/BJg2ihJVIxVgJiYmPFsiT15Ho/I9mbruPAlyYO/evSAi9O/fX+H6woULo2TJknLLHRwc0KBBA7x//x6fP39WuO306dMRHx/P/T58+KBS2xkMbUeIOa40LYj4/tpWBwXdA5aamgqgYAgwbW6rUD1gBeaz5cyZMyhWrBjq1q2bbZn09HSFruTk5GQA2St/Y2PjAuGCZjCyQ4jxTZruEuT7a1sdFKQgdEVIRYmpqSnPlqiflJQUANrZ1rzGp/HtwRXO0zIfJCcn49GjR6hTp47CF4RYLIa9vT2cnZ25Eynl6dOnCAkJQf369WFhYaEpkxkMQSHEHFeaFo26OG+gNgdmawKpKNHGbjlVo81iM68fAkyA5UBUVBSCgoIQFBSE0NBQAMD379/llu3duxcGBgbYuHGj3D5evHgBiUSCihUrKqzDwMAAM2bMQHh4OFq1aoWjR4/Cz88PGzduROvWraGvr4/Vq1errY0MhtARYhekpgUR3w97dVCQgtAVoc1eIVWTlJQEADAzM+PZEnnyeh3mdfSkqtD6J8HWrVsxf/58mWU+Pj6oV68eAMDe3h5v376FRCJBVlaWwulFYmNjAQCWlpbZ1jNy5EjY2dlh5cqVGDZsGFJSUlCiRAm4ublh1qxZqFq1qgpbxWDoFkLsgtR0/IcuTtxc0AWYNDxFG0WJqtHmtuZ1hCbfH0VaL8DmzZuHefPm5Vhu0KBBGDRokMJ1rVu3zlWeovbt26N9+/ZKWshgMIQswDT18NXFgPWCNArwVzIyMrhzqo2iRNVIPWCFCxfm2RJ58nod8n1PCudpyWAwtBYh5rjS9Ncv3w97daDNI+PUjVSQAIC5uTmPlmiGxMREANrX1qysLO7eyqsHjAkwBoMhWISY40r60NaUaMxrriJtRirACkIQ+q9IBYmxsbFOndPskCYY17bBaNLuR4B5wBgMRgFEiCkWpF+/mhrBp4vxUtocF6Ru4uPjAfw+tliXkLZX2wSY9CMAUP5DgO80KkyAMRiMfMN3QsO8oGmPlC4KsII0CvBXCqoA07b2Sq9BY2NjpZ4/RMS7V5oJMAaDkW+EmONK090PuijApB4wbQzMVjdxcXEAoHBqO11E2t6iRYvya8gvSK9BZT8CpM8sgL97kgkwBoORb/gOZs0L0q9fTT18dXHEoDQOqiAKsO/fvwPQPkGiDiQSidYLMGW7waX3P8C6IBkMhoDhO5g1L2jaI6VrWdPFYjEXf6NtI+M0wbdv3wAAxYoV49kS9RMfH8+NdLaysuLZGlny6oX9edYb5gFjMBiCRYgCTDp6SlMPX10bMSgdFQdoX2C2JoiJiQFQMATY169fAfzwMmlbF3pevbDS+19PT0/7E7HmN7ZDJBLJ9LkyGAzdge9g1ryQ1+zZeUXqAdOVEYPSLikTE5MCORekVICVKFGCZ0vUj1SAaWNbpfnYlPXCakNMZq4FGBGhY8eOeVL7X79+xYULF5TejsFgCANNx1OpAk17pLR5Lr28UJBioBTx5csXAIC1tTXPlqgfbW6r1BOrrADT9AeYIpTyu82bNw916tRRupKgoCAmwBgMHUYbviaVRdMpFLR5Kpe8IBVg2hYTpCmio6MBADY2Njxbon4+f/4MAChZsiTPlsiT1/xk2hASkOsYsMqVK+fZUFNTU1SqVClP2zIYDO1HG74mlUXTSUS1NZN4XpF2SxWEGChFREVFAQBsbW15tkT9fPr0CYB2is285ifTBgGWaw/Ys2fP8lxJ1apV87U9g8HQboQ4J6CmBZi2ZhLPK1IBVrx4cZ4t0TxZWVmcB6x06dI8W6N+pGKzVKlSPFsiT17zsWmDAGOjIBkMRr4R4pQ0mpxcWCwWc8dIVxJ3anNckLqJjo6GWCyGvr5+gfCARUZGAtBOsZnXWERtmMWBCTAGg5FvhCbAfhZEmvBISb/SAd0RYNrcLaVu3r17B+CHIBHS7A955cOHDwCAMmXK8GyJPHmNRdSGZxYTYAwGI98IbUqan3NYaWJuu9jYWAA/xJ6QJiz/HVIBVhA8QL/y9u1bAEC5cuV4tUNTvH//HgBgb2/PsyXy5DUhrjYIMJU+CZ49e4YTJ06gSJEi+PjxI9q1awc7OzuUL19eldUwGAwtQxrfJJSM6NKvZlNTU43ksJLmjNKleKmPHz8C0M5uKXXz+vVrACgQ77a4uDjOg6uNAiyvg0G0IS2Myjxgp0+fhq+vL6ZNm4axY8eiXLlycHNzQ2ZmJm7fvq2qahgMhpZBRJxHSRPeJFUg9UhpagSfLsZLSbulypYty7MlmufVq1cAgAoVKvBsifqJiIgA8CMJqzaGGOT140Yb0sKoRIC9f/8enz9/xpgxY7j+cJFIBOBH+oq4uDjua4nBYOgWSUlJyMrKAiCcpJyankZGOmJOG/Mo5YXExEROxGqjV0TdvHz5EgAKRHql8PBwANopNtPS0rjBNMreW3nNoK9KVCLALl++jBEjRmS7vmPHjrh586YqqmIwGFqG9EVsZGQkmHkOpR4pTU2tomvxUlKviJWVlc6k1cgtRMSlVapSpQrP1qgfqdisWLEiz5bII00Qa2RkpLT3XRvy8qkkBiwyMhJ79+4FEUEkEoGIcO/ePS4nEBFxw1gZDIZu8XMMhtTzre1IH9yaGsGna/FS2uwVUTcfP35EQkICDAwMCoQH7MWLFwB+9GZpGz97lpV99mhDXj6VCLCSJUvCy8tLZllaWprMsj179qiiKgaDoWUIMb5J04kldS1eSpu9Iurm8ePHAAAnJ6cCMQn506dPAWinty8/nmVtiFtVSRekg4MDHjx4ILPsZzUaFRUFOzs7VVTFYDC0DCHOiafpxJK6lrbg+fPnAH6IkILGw4cPAQA1a9bk2RL1k5WVxXW3VqtWjWdr5MnPfZzXKYxUiUoEmLu7O44cOcI9ZH5GLBbDx8cHLVq0UEVVDAZDy9DmaUqyQ5pIUxMfhmKxmKtPV9IWhIaGAtDOl7K6CQoKAgC4uLjwbIn6efXqFVJTU2FqagpHR0e+zZEjP137ec2gr0pUlgfs77//xooVKyCRSNCiRQt8/vwZd+7cQUpKCvr27auqahgMhpahzVmys0P6saiJEXzv3r1DZmYmjI2NdSIGTCwWc91SNWrU4NkazUJECAgIAADUq1ePZ2vUj9TbV716da3M+J+frn2pAONzZgqVCTB9fX3873//Q1paGsLCwuDh4YFq1arB2NhYVVUwGAwtRJNiRhXExcVxAwc08VUv7a6rVKkS9PSEP/nI06dPkZ6eDnNzczg4OPBtjkZ5+/YtPn36BAMDgwLhAZOGFtWpU4dnSxQj9SznpWs/rxn0VYnK58QoVKhQgbgwGQzGD6Qj4rSxi0IR0gByGxsbjeQACgsLAwBUrVpV7XVpgsDAQAA/uuB0QVAqg5+fH4AfbRdKypX8ID3X2urte/PmDQDlP/5SUlKQlpYGgF8BVrDuHgaDoVLS09M5D5hQRsRpelTXo0ePAPzoxtEF/P39AQD169fn2RLNc+PGDQBA8+bN+TVEA2RmZnICrGHDhjxbI09aWhoXhK9sbKXUA25oaMhrIlalPGDp6ek4fvw4oqOjUaNGDbRu3VpddjEYDAHw8uVLZGVlwcLCQjBB+NIAcmdnZ43UJ42jqVWrlkbqUzfSqeUaN27MsyWahYhw7do1AEDLli15tkb9PHz4EKmpqShatKhW5gCTJgO2sLBQehoi6UwYJUqU4DV3Ya4FWFJSEpo1a4ZHjx5xCVfbt2+Ps2fPCib5IoPBUC3SnEjOzs6CeQ5oMo1AQkICFwNWt25dtdenbj5//oznz59DJBKhSZMmfJujUZ49e4YPHz7A2NgYTZs25dsctSOdvaZp06Za2dUsnY+zYsWKSj97tCV3Ya6P6vLly/Ho0SOMHj0aGzduRI8ePXDhwgVs2bJFphwR4eTJkyztBINRAJAG6dauXZtnS3KHRCJBcHAwAM2kEbh//z6ICPb29joxD+T169cB/BCvVlZWPFujWc6dOwfgR/ejqakpz9aoH19fXwDa290q/bDJi3dOOhMG3/dkrj1g58+fx8SJE7Fq1SoAwKhRozB27Fjs3r0bo0aNwvfv37Ft2zZs2rQJ79+/V5vBDAZDe5AOyRdKPNCzZ88QHx8PU1NTjeSwkgZt64q36NKlSwCANm3a8GyJ5jl9+jQAoHPnzjxbon7S09M5D5i2hhrlJ5ZTmkGfbwGWaw/Y69ev4e7uLrNs7NixCA4OxrBhw1CmTBlMmzYN379/x6hRozg3P4PB0E1SU1O5IF1XV1eerckdUkHUoEEDGBoaqr0+bfciKINYLMaFCxcAAB06dODZGs0SGRmJu3fvAgC6du3KrzEawM/PDykpKbCxsdHawSP5GV0sFWB8x63mWoDFx8fLBbo5ODhALBZj586dcHZ2xvbt2xEVFYUNGzaoPEFffHw8vLy8IBKJ0LNnz1xts3v3bohEomx/S5culSkfGxuLcePGwd7eHkZGRrCxsYGXlxfz6DEYCrhz5w4yMjJQqlQpwaSg8PHxAaAZQZSQkMCNGGzVqpXa61M3d+7cwbdv31C0aFGd8ejlliNHjgD48aGhC8l0c+L8+fMAfsxyo42xnWKxmBNgeRGI0tGTfAuwfOUBk+ZBOX36NDp16qQSgxRx7do1DB48GESUp+03b96sMN7j58zdaWlpcHNzw7t377Bo0SK4uLjg9evXmDFjBho3boyQkBBe84UwGNrGlStXAPzootDGh/SvZGVlcTFMmuhWuXLlCsRiMSpVqqQTUxAdPXoUwI8uOAMDlaeQ1Gr2798PAOjXrx/PlqgfItL67tZXr14hLS0NZmZmefr4k05hxPfsHSq5i9SZATs6Ohpt27bFiBEjMGHChDzFbVSuXDnHEUibNm1CaGgo9u/fj/79+wP48bXj6OiIxo0bY8mSJVixYkWe2sBg6Bo/P6SF0h117949xMbGokiRImjQoIHa6zt16hQAqPXjVFNkZmZyXqDevXvzbI1mefz4MYKDg2FoaFgg2v7w4UO8efMGJiYmaNu2Ld/mKEQ6kKZmzZp5GqGZnymMVIlSlvPxlWtoaIgTJ05g8+bNah15cujQIZiZmcHT01NmuaurKypVqoRDhw6prW4GQ2g8fvwYL1++hLGxMdq3b8+3ObnixIkTAAAPDw+1e3DS0tJw5swZAED37t3VWpcmuHjxImJiYmBtbV3gAvClI/27dOmidL4pIXL48GEAPz6szMzMeLZGMT/PxqAs6enpiI6OBsD/9GlKCbBp06bh77//xuXLl7l5lNRNsWLF1B70mJWVhUePHqFq1aoKA3Nr1KiByMhILnCPwSjoHDhwAMCPh7SFhQXP1uSMRCLhPDi9evVSe31nz55FYmIiypYtq5VZxJVl27ZtAIA//vijQHU/JiQkYO/evQB+jPzXdSQSCQ4ePAgA6Nu3L8/WZM/9+/cB5G309fv370FEMDU15V1Q51qA2djY4OrVq5g1axY6dOgAa2trODg4QCQS4fDhw7h58ybi4+PVaWueOXbsGOrXrw8TExOYmZnB1dWVU/nAj8l509PTs03KJl2enQBLT09HQkKCzI/B0FUyMjKwZ88eAD9eyELAx8cHkZGRKFKkCNq1a6f2+nbt2gUAGDBggFYmsVSGN2/ecEHZI0aM4NkazbJjxw4kJSWhSpUqBSL7vY+PDz5+/IgiRYrAw8ODb3MUkpaWxnVB5uXjRppBX6pf+CTXT4aoqChERUXhzJkzmDNnDjw8PJCRkQEiwpIlS9CyZUtYWVmhXLly6Nq1K+bNm6dGs5UjKCgIkydPhq+vL7Zs2YKEhAT06dOHi+lKSUkBABgZGSnc3tjYWKbcryxZsgSWlpbcj+9+ZQZDnRw7dgxfvnyBra0tOnbsyLc5uWL79u0AfnzVFypUSK11vX37lsuXNXjwYLXWpQnWrl0LIkLbtm1RqVIlvs3RGBkZGfj3338BAJMnT+b9Za0JNHmf5JXAwEBkZGSgZMmSeQrADw8PBwDtGLlN+SQqKorOnDlDc+fOpY4dO5KtrS2JRCLS09PL767lePPmDQGgHj165Kp8SkoKffr0icRisczy79+/k62tLZmYmFBiYiJ9/fqVAJCHh4fC/YwZM4YAUHBwsML1aWlpFB8fz/0+fPhAACg+Pl65BjIYWo5EIqFatWoRAFqwYAHf5uSKyMhIMjAw+O09rEq8vb0JALVu3Vrtdambr1+/kpmZGQGgS5cu8W2ORtm+fTsBIBsbG0pNTeXbHLUTHR1NhoaGGrtP8srChQuV0gG/MnHiRAJAf/75p8L18fHxGnt/57sz39bWFp06dZIZ6RMVFcVNUcInJiYmXKqMnylSpAjc3d2xa9cuhIWFoV69ejAxMeEC834lKioKALLN/2JsbMx5yRgMXebs2bMICQmBmZkZxowZw7c5uWLdunUQi8Vo0qSJ2qdMio+Px9atWwEAkyZNUmtdmmD16tVITk5GrVq1tHZEnDrIyMjAokWLAAB//fWX1nqDVMmWLVuQmZmJBg0aaPXUYtLkxnmd7vDFixcAoBXe3Fx3QQYEBCA1NTVXZUuVKiUjyFJSUrgpSzRNenq6wuXJyckAfog0PT09uLi44OnTpwrLP3jwAA4ODrxP3Mlg8IlYLMaMGTMAAOPHjxdEXrzv379j48aNAABvb2+117du3TokJCSgWrVqghkdmh0xMTFYvXo1AGD27NkFogtOypYtW/D27VvY2toWiOD7tLQ0bNiwAYB2fzgkJyfj9u3bAPKe3PjZs2cA8jaFkcrJratMT0+PHjx4kCc3W1BQkEq6JJXtgnR1dSVLS0v69u2bzPLPnz+TlZUV2dract2TmzdvJgC0c+dOmbIXL14kADR37txc26lJFyaDoSk2bNhAAMjKyopiY2P5NidXTJ8+nQBQ9erVKSsrS611xcbGkqWlJQGggwcPqrUuTTBu3DgCQHXq1CGJRMK3ORrj+/fvVKxYMQJAmzdv5tscjbBx40YCQHZ2dpSRkcG3Odly/vx5AkD29vZ5uiYTExMJAAGgr1+/Kiyjyfd3rgWYSCTKc79wfgRYZGQkBQYGUmBgIJ05c4YAUMuWLblljx8/JiKiPXv2kL6+Pm3YsIHb9ty5c2RgYEDOzs60d+9e8vPzo927d1OlSpVIX1+fjh07xpXNzMykhg0bkrm5Oa1Zs4bu3LlD27dvp+LFi5OTkxMlJSXl2mYmwBi6RmRkJCcu1q9fz7c5ueLDhw9kYmJCAOjkyZNqr+/PP/8kAOTs7Kx2saduwsLCSF9fnwDQ9evX+TZHo0yYMIEAUNWqVSkzM5Nvc9ROeno62dvbEwBas2YN3+b8llGjRhEAGjVqVJ629/f35+L6skNrBZienl6+fnlh7ty5nGJV9LO3tyciol27dhEAWrduncz2d+/epc6dO5OVlRXp6+tT8eLFqXPnznT37l25uuLj42ny5MlkZ2dHhoaGVLp0aRo9ejTFxMQoZTMTYAxdQiKRUMeOHQkA1atXT25Qi7bSt29fAkBNmjRRuwfn+fPnXADzhQsX1FqXupFIJOTm5kYAqEuXLnybo1GCg4NJT0+PANCVK1f4NkcjbNq0iRMlKSkpfJuTLVlZWVS6dGkCQOfPn8/TPqQ9Xe3atcu2jCbf3yKi3E2wqIrh1NLcOLpOQkICLC0tER8fL4gklQzG79iwYQPGjRsHIyMjPHjwAM7OznyblCNXrlxBu3btoKenh8DAQNSpU0dtdRER2rRpg+vXr6NDhw5cziyhsmvXLgwZMgQmJiYICwuDg4MD3yZpBLFYjIYNG+LBgwfw9PSUyRWpqyQnJ6NixYr49OkT1q5di/Hjx/NtUrb4+/ujUaNGMDc3x5cvX/I0MGLkyJHYunUr/ve//2Hp0qUKy2jy/Z3rUZAFRTwxGIz/IyAgAFOmTAEALFu2TBDiKyEhgUsYOm7cOLWKLwDYuXMnrl+/jkKFCmHdunVqrUvdfPz4EZMnTwYAzJ8/v8CILwD4559/8ODBAxQpUoQbfKDrrFy5Ep8+fUK5cuW0PsmuVBB37Ngxz6NSpdkZ8jKFkVpQu4+tAMK6IBm6wIcPH8jW1pYAULdu3QQTiD1w4EACQA4ODpSYmKjWuiIiIsjc3JwA0PLly9Val7rJysqiVq1aEQCqX79+gYh/kvLgwQOuC3nv3r18m6MR3r9/T6ampgSADh06xLc5vyUzM5NsbGwIAJ0+fTpP+0hNTeXyAb558ybbcloZA8bIPUyAMYTO9+/fqXr16gSAqlWrJphrec+ePQSA9PT06NatW2qtKyMjgxo2bEgAqHHjxoKJjcuOv//+mwCQqakpPX/+nG9zNEZCQgJVrFiRAFD37t0F86GRX7p160YAqFmzZlrf5gsXLhAAKlasGKWnp+dpH7dv3yYAVLJkyd+2V5Pvb5VOUkZEiIyMRGxsrCp3y2AwNEhiYiI8PDwQGhoKGxsbnDt3ThCxjMHBwVzOprlz56Jp06ZqrW/q1Knw9/eHpaUl9u/fD319fbXWp058fX0xa9YsAD+mHqpcuTLPFmkGIsLw4cPx6tUrlClTBlu3bi0Q+c5Onz6NkydPwsDAAOvXr9f6Nu/YsQMA0K9fv2ynDMwJaf4wV1dX7WmvqpTcqVOnqFixYtyIR2tra+rXrx/dv39fVVUIBuYBYwiV+Ph4atKkCQGgIkWK0KNHj/g2KVdERkZSmTJlCAC1b99e7d4oqacNAJ06dUqtdambN2/eUPHixQkAeXl5ab03RJWsXLmSAJCBgQHduXOHb3M0wrdv37jQgmnTpvFtTo5ERUVxXYfStFN5oX379gSA/v3339+WE2QXZLly5WjlypX0+vVrCgsLo2PHjtHQoUPJxMSETpw4oapqBAETYAwh8uXLF3JxcSEAZGlpSQEBAXyblCvi4uK4+SmdnJzo+/fvaq3v1q1bZGRkRABo5syZaq1L3cTFxZGzszOXcFWb0xComosXL3IpJ7Q9/5WqkEgk1KdPH+5eEcIcl9JUVK6urnneR0ZGBhUuXDhX81wKUoAVLVpU4fLr16+Tk5OTqqoRBEyAMYTGy5cvqUKFCgSAihcvnudZLzRNUlISNW3alACQtbU1RUREqLW+0NBQKlKkCBcvJOSEq2lpaVzQva2tLX348IFvkzRGSEgIN3hiyJAhBcbrt3v3bgJA+vr6guidSklJoRIlSuR7oICfnx8XQ5bTPStIATZmzBi6fPmy3HKJRELm5uaqqkYQMAHGEBJXr16lokWLEgAqV66cYAKwk5OTqWXLlgSALCws8jxTR2559eoV13Xj6uoqaG+RWCymnj17EgAqXLiwYAS3Knjz5g13Ht3c3PIc1C00wsLCuFGPCxcu5NucXPHzFEn5GZU7c+ZMAkC9e/fOsawgBVi/fv3I2tqaFi1aRI8fP6b09HTKzMykdevWkaenp6qqEQRMgDGEQFZWFi1dupTrhmnQoAFFR0fzbVauiIuL4zxfhQsXVjizhSoJDw/nYsyqV68umLkwFSEWi8nLy4sAkJGRUYHJ+E5E9OnTJ87TW61aNUGfR2WIj48nJycnAkCtWrUSxIjdn6dIWrt2bb72JQ1R2LNnT45lBSnAZs2aRT169ODmWdTT0yN9fX0qVqwYLV68mC5dukQfP35UVXVaDRNgDG3ny5cv5OHhwQWSDxo0SBDxIEQ/gnKlD1RLS0u1B0+HhYVxHpMqVaoIRqQq4mfxpa+vX6Dicz9//kxVq1blcsQVlPdRVlYWde7cmQBQ6dKlBXP9SqcNyu8USW/fvuVS03z58iXH8oIUYD+TmppKQUFBtGvXLpoyZQq1adOGbGxsSCQSZRsrpkswAcbQZi5evMglNTQ2NqbNmzcLJgYmNDSU7OzsuJgvdXc73rt3j6ysrLhJtoXy8lJEeno6eXp6cuLryJEjfJukMT59+sSJr9KlS9Pr16/5Nklj/PXXX9y97u/vz7c5uSI5OZlKlSqlkgES0pGuzZo1y1V5rRVgaWlpdODAAVq5ciVdvXpV6cpiYmLIx8dH6e2EBhNgDG0kPj6eRowYwXm9qlSpQiEhIXyblWtOnz7NjWSqWLEihYeHq7W+EydOUKFChbjM8F+/flVrfeokISGB2rRpQwDI0NCwQHm+3r59yyVaLV26NL18+ZJvkzTG+vXrufv9wIEDfJuTaxYsWMDFpKalpeVrX/Xr1ycAtG7dulyV10oBlpiYSLVr1yY9PT0SiUSkp6dHHh4egvly1iRMgDG0jTNnznAxTABowoQJlJyczLdZuUIsFtOsWbM4293c3NQqhiQSCf39998kEokIAHXo0IGSkpLUVp+6+fjxI9dla2ZmpnCwlK7y5MkT7rq3t7dXu2jXJg4fPsxdwwsWLODbnFzz8xRJ//33X7729eLFC87jm1vvtVYKsDlz5pCenh6NHTuWNm3aRL169SKRSESbNm2SKSeRSOjEiRPk5uamcmOFAhNgDG3h3bt33JQjAMjR0ZF8fX35NivXREZGUosWLTj7x40bRxkZGWqrLzExkeumA0Bjx44V9JyIgYGBXFeOtbU1BQYG8m2SxvD19eVShlSpUqVApdk4e/YsN7flqFGjBOUo6d69OwGgJk2a5NvuGTNmcMmZc4tWCjAXFxeaPHmyzLIxY8ZQgwYNiIgoNjaWli1bRuXKleOy4RdUmABj8E1qaiotXLiQTExMuC/AqVOnCsbrRfR/s2tIPTfq7kIJDQ3lRooZGhrS5s2b1Vqfutm7dy/XhVq1alW150jTJnbs2MEJEFdXV0F3HyvL+fPnuUTBffv2FcSIRymnTp3iZibI7ywcGRkZ3OAZZeIdtVKAFSlSRM51HRYWRoaGhjR06FAyNTUlkUhElpaWNGbMGMFMYaIOmABj8IVEIqFDhw5xw7elwaehoaF8m5Zrvn//ToMGDeLsr1Wrllpzk0kkEtq0aRMnVkqVKiXoaWnS0tJozJgx3PHz8PAoMM+izMxMmjRpEtd2T09PQedrU5aTJ09ywrNHjx6C8t5+/fqVGxykiimSjh49ynl+lcn1ppUCTCQSySXrS0lJIZFIRCKRiOrXr087duwQ1Be2umACjMEHN27c4AJOAVCZMmXo4MGDgup+OH36NNdlJhKJ6K+//sp3EO7viI6Opk6dOnHHrF27drkaqq6tvHr1iptOCgDNnj1b0Nn6lSE6Olqmu3rOnDkFpu1EP+Yn1dfXJwDUq1cvtXbVqxqJRMIlBq5SpYpKUuI0btyYAOWnCxOMAJMuP3PmjEqNEjpMgDE0SXBwMHXo0IF78ZiZmdGCBQsE9TH04cMH6tGjB9eGihUrkp+fn9rqk0gkdPjwYa6L08jIiFasWCHYF7ZEIqHdu3dzo0SLFStG58+f59ssjXHz5k2uu6lw4cJ07Ngxvk3SGBKJhJYtW8bdOwMHDhSU54uIaOvWrVzXY1BQUL73d+/ePS6UIDIyUqltBSfACnJ3oyKYAGNogidPnlCvXr24B6+BgQGNGjWKPn36xLdpuSY9PZ3++ecfMjMzk4lVU2e30YcPH6hLly7ccatZs6agn2FfvnzhApelXc4FJeA8MzOT5s2bx83mULVqVXr69CnfZmmMjIwMGjVqFHfuJ0+eLLiPiIcPH3Ld/8uWLVPJPjt27EgAaPDgwUpvq7UCTFHSQybA5GECjKFOwsLCqE+fPtwQc5FIRH379hVUfiOJREJnz56lSpUqcS8PV1dXtT5LMjMzafXq1dwkzAYGBjR37lzBzgUokUjoyJEj3GTFBgYGtHjxYkEFXeeH169fc91MUs+PkNOFKMu3b9+43G4ikYhWrVrFt0lKExMTQ+XKleNiFVUhHgMCArjM9y9evFB6e60VYG3btuWmFZKOKmECTB4mwBjq4NGjR+Tp6ckJLwDUvXt3evz4Md+mKUVwcDC1atWKa4O1tTXt2rVLrV/ut27doho1anB1NmzYUHDH7Wc+fvxIXbt25drj7Oys9lkBtAWJREJbtmzhvKbm5ua0f/9+vs3SKI8fPyZHR0cCQKampnTq1Cm+TVKa9PR0at68OQGg8uXLq2ReTolEQq1btyYA5OXllad9aKUAs7W15QLupWkmpCknZsyYQTdu3KC4uDh12ioYmABjqBJ/f3+ZQHEA1LVrV3r48CHfpilFeHg49e3bl2uDkZERTZ06Va33ydu3b2XyehUtWpS2bNkiuG4aKZmZmbRmzRoZL97s2bPVOlBBm4iIiOBesNLu1jdv3vBtlkbZt28fl6i0XLlygprNQkpWVhYNGDCAE9BPnjxRyX7Pnz/PPVvyel1opQAj+jGf1tmzZ2nevHnUqVMnKlWqlJwos7e3py5dutDcuXPVZLL2wwQYI79IJBK6cuWKzKgukUhEnp6egvPcvHv3joYPH86N0AJA/fr1U+uLMzY2lqZOnUrGxsZcd8TIkSMpJiZGbXWqGz8/P6pZs6bOePGUITMzk1auXMkJj0KFCtHKlSsFK6TzQlJSEg0dOpQ7/23atBFkfjOJREJ//vkn9wFx6dIllew3LS2Nm3LK29s7z/vRWgGmiKioKDpz5gzNnTuXOnbsyHnKWCJWJsAYypOZmUmHDx+mOnXqyATXDxo0SK25sNTB27dvadSoUVxeIgDk7u6uVs9dcnIy/fPPP1S0aFGuzpYtWwrSSyDl3bt3Mp7DokWL0ubNmwuM+PD396fatWvLeL2EFO+oCoKDg7kkwSKRiObOnSvYWL/58+dz53L37t0q2690/kgbG5t8vXsFJcAUERkZWaBTUzABxlCWpKQkWr9+PZUvX557OJmamtKECRPo3bt3fJunFC9fvqShQ4eSgYEB15YWLVqoNa1EamoqrV+/nktFAICqVatG586dE1QetJ+Jj4+nmTNnciPERCIRDR8+XNBePGX4/PkzDRs2TEZ4bt26tcAIT6IfH2SLFy/m7qVSpUrR9evX+TYrzyxatIg7n6ocNPDkyRMu+//BgwfztS/BC7CCDhNgjNzy+fNnmjNnDpePSprDae7cuYJ70QYFBZGnpyeXEkDqfbp586ba6pQKr58nGre3t6fdu3cL1kOQlpZGa9asoeLFi8t4fRSlAdJF0tPTadWqVWRpaSkzwvHz5898m6ZRwsLCZBIrd+/eXZBdjkQ/uh1nzZrFtWXJkiUq23d6ejrXY+Dh4ZHvDy4mwAQOE2CMnHjx4gWNGDGC825IRwKtW7dOUEPpJRIJXbx4UWZUo/RBqM7pfJKSkmjlypUyHq/SpUvThg0bBJtWIjMzk3bu3CkzjVSlSpXo5MmTgvXiKYNEIqHjx49zcTwAqHbt2nT79m2+TdMoaWlpNH/+fM6jY2lpSXv27BHsNSAWi2n06NHcOVVVri8pU6dO5TykyiZdVQQTYAKHCTCGIiQSCfn5+VHnzp1lUknUq1ePDh8+LKjs1SkpKbR161aqWrUq1w59fX3q37+/WtPSxMTE0Jw5c8jKyoqrt0yZMrR+/XqVTF/CB2KxmPbt2yeTE83W1pY2b94sqOlk8oOfnx+5urpy7S9ZsiRt27ZNsF7MvOLr68vFegGgjh070sePH/k2K88kJydz6VJEIhFt2LBBpfs/e/Ysd6yOHz+ukn0yASZwmABj/ExmZiYdOXKE6tWrJ+Ml6tSpE928eVNQX7YfPnyg6dOnywigwoUL0+TJk+nt27dqq/fVq1c0evRoMjEx4eqtUKECbdu2TbAer4yMDNq9e7eM8CpWrBgtX75cUNNI5YeHDx/KTKNlYmJCs2bNooSEBL5N0yhRUVHUv39/7jhYW1vTf//9J6hnw698/PiR6taty6WFOHLkiEr3/+LFC66bety4cSrbLxNgAocJMAYRUWJiIq1Zs4bL9AyAjI2Nafjw4fTs2TO+zcs1EomEbty4QT179pRJJWFvb08rV65UW/4/iURCvr6+1KVLFxmPYZ06dejw4cOC9Y6kpKTQxo0bZa4LKysr+vvvvwuM8AgNDeUmX5Z6T0eMGKGSLiQhkZqaSkuXLuXm8BSJRDRq1CiVJCXlk9u3b5ONjQ0BoOLFi6t8AM63b9+4DxdXV1eVfoQxASZwmAAr2ERFRdH06dOpSJEiMp6NOXPmCCqQOC4ujtavXy/TzQiAmjdvTidOnFCbAEpOTqZt27bJZK4HQB06dCAfHx/BegW+fftGixYt4qYOkno6li1bVmCEV0hIiIzwEuI0WqpAOhm8g4MDdywaNGhAgYGBfJuWLyQSCa1evZobtens7EwREREqrSMlJYWbgsrOzk7lc98yASZwmAArmDx58oSGDBkik/eqYsWKtGnTJrVOLq1qHjx4QCNGjOCmegFAZmZmNGLECLUm/nz16hX9+eefMjm8TE1NadSoUYLLgfYzr169onHjxnFJRKXew7Vr1xaYrsZ79+7JzebQs2dPCg0N5ds0jePr60sNGjTgjkOpUqVoz549gk+v8fXrV5npsTw9PSkxMVGldWRkZJCHhwc3OEEd1w8TYAqIi4ujP/74gwBQjx49cr1dfHw8zZ49m8qXL09GRkZUqlQpat26tVz23blz58o8HH79/ffff0rVyQRYwUDaPSd9KEh/jRs3ppMnTwrmoZqQkEBbt26Vi1OrUqUKrVmzRm3djJmZmXTixAlq27atTL0ODg60fPlywXbFSCQSun79utyAi5o1a9L+/fsLRHC9RCKh8+fPc/P9ST1evXv3LpDCKzAwkNq1ayfzUTNv3jxBjXrOjmvXrlHp0qW5eK9169ap3FOdkZFB3bt3J+DHTAjqSm/DBNgvXL16lcqUKcOd4NwKsKSkJKpVqxaZmJjQ/PnzydfXlw4ePEhVq1YlkUgkkyxWKsDOnDlDgYGBcj9lXgRMgOk+YrGYjh49KpOnRyQSUffu3enu3bt8m5crJBIJ3b9/n4YPH87FoEgfoH369KEbN26orbvvzZs3NHPmTCpVqpTM8Wvfvj2dPXtWsPFdiYmJtGnTJnJ2dpYRlO3bt6erV68KtvtUGdLS0mjnzp0yx8DAwIAGDx4saE9mXnn48CF17txZ5liMGTNG5V1nfJCUlETjxo3j2lapUiW15KtLTU3ljqGRkRFdvHhR5XVIYQLsJz59+kQikYhGjhxJYWFhSgmw1atXEwDavHmzzPJ3796RSCSixo0bc8ukAkwV89MxAaa7pKam0pYtW2RyFRUqVIhGjRolmDiWb9++0Zo1a+RirCpVqkTLly+nL1++qKXetLQ0OnToELVp00bGK2RtbU3Tpk2j169fq6VeTRAWFkbjxo0jCwsLGQ/H6NGjBTXgIj98/vyZ5s+fTyVLlpQZITtlyhR6//493+ZpnICAABnhpaenR3/88QeFh4fzbZpKuHr1qkwM2+jRo9XizYuLi+PmxDU2NqYLFy6ovI6fYQLsJ75+/UonT54koh9fzcoIsAcPHtCuXbsUBrhaW1tTqVKluP+ZAGP8jvj4eFq2bBk3sgcAFSlShGbNmkXR0dF8m5cjWVlZdOXKFerduzeX4FH6QOvfvz/5+vqqzTvz8OFDGj9+vEzqCgDUunVrOnLkiGDTSKSmptKBAweoadOmMu2qUKECrVq1ir5//863iRohKCiIBg4cKHNdlS5dmpYtW1ZgjoEU6cjdn7vUpQMNdEWIR0dH04ABA7j22dnZ0ZUrV9RS1/v376l69eqcmPfx8VFLPT/DBFg2KCvAsiM6Opr09fWpSZMm3DImwBiK+PLlC82cOVNmRGPp0qXp33//VXmAqTqIiIigOXPmkJ2dnYxIqFmzJq1bt05tMVZfvnyh1atXU82aNWXqLV26NM2aNUvlI6M0SWhoKE2cOFFGUOrr61PXrl3p8uXLgon7yw+pqam0Z88emS544EdS4YMHDxaIGLefEYvFdOzYMZnjoa+vT3/88YfOCK/MzExau3Ytl3tLJBLR+PHj1TaC9+7du5w31cbGRmNTcb169YoJMEWoQoBlZWVRx44dCYBMP7JUgP3vf/+jatWqkZGREZmbm1OrVq1yVPdpaWkUHx/P/T58+MAEmMD58OEDTZo0SSbxp5OTE+3atUvrPTbJycm0b98+zm3/s8duzJgxanuQpaWl0bFjx6hz584yE3EbGRlRz5496eLFi4KN7fr+/Ttt3rxZbpBC2bJlaf78+YLOVq4Mz58/pz///FNGfBoaGlK/fv3I39+fb/M0TkJCAq1du5bKly8vE5IwevRoQX9k/Mrly5epWrVqXBvr1KlD9+/fV0tdEomENm7cyI0mr169Or17904tdSmiVq1aTIApIr8CLD09nRtJOXPmTJl1UgHm7u5OJ06coLt379LWrVvJzs6ORCLRb7P4ZjeCkgkw4fH69WsaMWKETCqJunXr0vHjx7XasyGRSOjOnTs0fPhwMjc3l+n+aN26NR08eFAtU/VIp1caOXKkjJdQetzWr19P3759U3m9mkAsFtOlS5eob9++ZGxsLBNE3a1bN7pw4YJgBaUypKSk0P79+2VGM0rF56JFiwTRBa9qXr9+TVOmTJGZMNzKyopmzZolqFx/OfHo0SOZkZvFihWjTZs2qe26j4uLoz59+nD19ejRQ6M9Df7+/hp9fxcYARYTE8PFaixYsEBufWJiosIHSUREBJmampKdnV22+2YeMOHz8uVLGjRokEym92bNmtHly5e1euTax48facmSJVS5cmWZl6ODgwPNnz9fbdMDPX/+nGbPni0ThCvtYpw6dSqFhYWppV5N8OjRI/rrr79kJvoGQNWqVaMVK1bo1As2OyQSCT148IDGjh0rI6z19PTIw8ND0CNV80pWVhZdvHiROnXqJDOIpFKlSrRhwwadSCch5dWrV9S/f3+unYaGhjRp0iS1poW5ffs29zzR19en5cuXa/zZ+3OSYCbAfiGvAuzly5dUvnx5MjMzy9N8VNKunNx+6bEYMOHw/PlzGjBgAOnp6XE3Xtu2benWrVt8m5YtaWlpdPjwYWrfvr2M3aampuTl5UW+vr5q8dZFRkbSqlWruPndpL/ChQvTwIED6erVq4J9Kb9//56WLVsmNzLUysqKxo4dS4GBgVotxFVFdHQ0rVq1Su442Nvb07x58wrkaMYvX77QP//8Q46OjjLHpF27dnT+/Hmt9owrS0REBA0bNkzmQ9TT05NevXqltjpTUlLor7/+4p5lDg4OvKTyCQsLkxHWTID9Ql4EWEREBJdD7OHDh78tm5aWpnC5NLAytyeECTDt58WLF9S/f38ZAdOxY0etjWORSCQUFBREY8eOlRtN2KRJE9q+fbtagmG/f/9OO3bsoFatWskcK319ferQoQMdPHhQsNncv379Sps2baJmzZrJPHiNjIyoe/fudOLECa2P91MFqampdPjwYerYsaPMi9fY2Jh69+5dYAYW/ExWVhZdu3aNevfuLROOYGlpSRMnTtS5fGYvX76kIUOGyMRuuru7U1BQkFrr9fX1lUnpM3DgQLUlfc4JaZJX6YwNTID9grICLCUlhapUqUI2Nja/zb2SmZlJdnZ2VKFCBTkRFhYWRkZGRlS/fv1c28kEmPYSHh5Of/zxh4yY6Ny5s9ofNHnly5cvtGrVKm4otvRXpkwZmjFjhlpyj6WkpNCRI0eoa9euMqkFAFCjRo1o/fr1assVpm7i4+Npz5491L59e5mXjbTLecuWLYKNWVMGsVhM169fp8GDB8vkLgNA9evXp40bNwp2FoL88P79e1qwYIFc13q9evVo+/btOtXNSPQjVZOnp6fM87B169Z0584dtdYbHR1NAwcO5Oq0tbWl06dPq7XO33Hjxg2ui10aB8YEGP3o9pBmoz9z5gwBoJYtW3LLpHPT7dmzh/T19WnDhg3ctgsWLCAANHfuXIXZ7QMDA7kv3M2bNxPwYwqZI0eO0K1bt2jDhg1ka2tLJiYmSrlEmQDTPt69e0fDhg2Teel27NhRK4VXZmYmnTt3jrp16yZjr7GxMfXp04cuXbqk8q6+jIwMOn/+PPXv318mK7409mnx4sWCTZSakJBABw8epC5dusgE0wOgWrVq0bJlyzQ6yoovJBIJBQQE0OTJk+Xi2+zs7GjGjBk6kzJBGZKTk+nAgQNyCYItLCxo9OjRFBwczLeJKiUrK4vOnz9PLVu2lLkGPDw81N71l56eTitWrOBEv0gkolGjRvGaLy49PZ0b4Tlq1CiWB+xncpqj0d7enoiIdu3aRQBo3bp13La/jtpR9Ps579eFCxeoVatWZGFhQQYGBmRra0t9+/ZVOqCYCTDt4dOnTzRhwgQZT467uzsFBATwbZocL168oP/9738yyV4BkIuLC23YsEHlHgmxWEy+vr40fPhwuW5Ne3t7mjZtGj169EiQsU/x8fF04MAB6tq1q5zocnJyonnz5ulcN5IiJBIJhYSE0IwZM2RSJQA/0pIMHz6cbty4USC7GH18fGjw4MEyo4YBUPPmzWnPnj2C7VrPjsTERNqwYQM5OTnJhBL069ePHj16pNa6JRIJHTlyRCaOzsXFRStCPubMmUMAqESJEvT161cmwIQOE2D88/37d5o5cyaZmppyN7ybmxvdvn2bb9NkSEpKot27d8tlUy9evDhNmjRJ5ZMWSyQS8vf3p4kTJ8p5QUqWLEnjxo2ju3fvClJ0xcbG0p49e6hTp05yXacVK1akmTNn0uPHjwXZNmWQSCT06NEjmjVrltzoWFNTU+rduzedPn0625hXXUUikdDDhw/pr7/+ojJlysgcFwcHB5ozZ45gvby/4/nz5zRx4kSZlBnm5uY0ZcoUtXt+JRIJXblyRSZ/no2NDe3YsUMrRP/t27e5uMfDhw8TEcuEL3iYAOOP1NRUWrFihYxHp379+nTt2jW+TeOQdgWNHDlS5utbT0+POnToQMePH1dp8LfUCzJt2jQqV66cnBdkyJAhdO3aNUGOYPz06RNt3ryZ2rZtKxfTVblyZZo5cyaFhIQUCNH14MEDmjFjBlWqVEnmOBgbG1OXLl3ov//+07kYptzw4sULmj9/voznB/gRUD9s2DC6deuWVogBVSIdKf1rMuaKFSvSmjVr1P5ukkgkdO3aNWrSpAlXt5mZGc2dO1drZhCJjo6m0qVLEwDq378/t5wJMIHDBJjmEYvFtGfPHpkpd6pWrUonTpzQmpfv9+/fad26dVymZenP0dGRFi9erPJs6i9fvqQFCxZQlSpVZOozMzOjvn370pkzZwQ5yu/169e0YsUKatKkiUzMDgBydnamuXPnUmhoqNacd3UhFovJz8+PpkyZIhc0bmxsTJ07d6b9+/cXyOfQq1ev6O+//5a714yNjalHjx50/PhxtSQm5puwsDCaMmUKFS9eXObDrlOnTnTx4kW1C82srCw6c+YMNWzYUOaYT5w4Uavy56WmppKrqysXkvDzCHImwAQOE2Ca5fLlyzJzDpYpU4Z27NihFR4diURCt2/fJi8vL5lpjYyNjalfv37k4+Oj0ofi+/fvafny5eTi4iL34unWrRsdOnRIcLEtEomEgoODac6cOXL5qYAfI9SWLFlCL1684NtUtZOWlkYXLlygESNGcPPkSX8mJibUvXt3OnDgQIF89jx//pwWL15MtWvXljkuBgYG5O7uTrt379bJ4xIbG0sbN26kBg0ayLS7VKlSNGvWLI0MMElLS6OdO3dS1apVufoLFSpE48eP17ppujIzM6lbt26cF/TXWFAmwAQOE2Ca4cmTJ+Tu7i7TpbB06VJKSUnh2zT6/v07rVmzRmb+NKmHZs2aNSpNdRATE0MbNmyQiyPT19cnd3d32rVrF2+5dfJKRkYGXbt2jcaPHy83kbi+vj61bNmS1q5dWyASg8bGxtK+ffuoV69ecgHjlpaWNGDAADp+/LjghHV+kcZ0zZ49W+4+09fXpzZt2tDWrVvp69evfJuqctLT0+nUqVPUo0cPmXhHAwMD6tKlC505c4YyMzPVbkd0dDTNnz9f5mPA3Nycpk6dSp8+fVJ7/cqSmZlJ/fr1I+BHvj9fX1+5MkyACRwmwNTL58+faeTIkVzuGkNDQ5o4cSLFxMTwapdEIqH79+/ToEGDZLxdJiYmNHjwYJUGtyckJNDevXvJ3d1dJnkmAGratClt3LhRcLm64uLi6NChQ9S3b1+ZgGHpMezatSvt3r1bJ1+ov/Lq1StauXIlubm5yZ3fUqVK0ejRo+nSpUuC7ELOD5mZmeTr60uTJk2Si2eUerq2bdvG+7NAHUhHLY8YMYKKFi0q0/YaNWrQypUrNTIvp3T+1379+skkqS1dujT9888/Wvuxl5aWRj169OCulVOnTiksxwSYwGECTD38mkMGAHXr1k2t02TkhqSkJNq2bZtc14ezszOtX79eZTlu0tLS6NSpU+Tp6UmFChWSqatOnTq0YsUK+vDhg0rq0hRv3ryhtWvXUuvWreWC6EuUKEFDhgyhM2fOaIVXU51kZGSQr68v/fnnn3IjF6XX0owZM+j+/fs6FzCeEwkJCXTs2DHy8vKSS5ciFeZ79+7lNZeUusjKyqI7d+7QxIkTqVSpUjJtt7W1pSlTplBISIhGbImNjaW1a9fKJYVu2LAhHTx4kDIyMjRiR174+vUr10NgZGSUrfgiYgJM8DABpnrOnz8vM2VFnTp16ObNm7zaJB3e/bMgNDY2pj/++IPu3LmjEm9XVlYW3bhxg4YPHy4zKTLwY0TT3LlzBRX7lJWVRffu3aMZM2aQs7OznNCoXLkyTZ06le7cuaMVMXzqJDo6mnbv3k2enp5yHj8DAwNq2bIlrV69WidTI+SEVJi3bdtWLqWIlZUVeXl50YkTJ3Sy2zUrK4v8/Pxo4sSJcukyND1qWSwW09WrV6lfv34yH31Sr35gYKDabcgvISEh3CAVCwsLun79+m/LMwEmcJgAUx0vX74kDw8P7sYvWbIkrzlkxGIxnTp1itq0aSPzYHR0dKTly5errHvs8ePH9L///Y/Kli0r1/00efJkCgoKEswov8TERDp58iQNGTKErK2tZdqjp6dHzZo1oxUrVghKSOYFsVhM/v7+NHfuXJm8SD97/Ly8vOjw4cNa242jLjIyMujGjRv0119/yQRyS38VKlSgKVOm0I0bNzQS26Rp0tPT6fLlyzRq1Ci5RMzm5ubUv39/OnPmjMZytz19+pSmT58u9/ypXr06rV27VhDeRolEQlu2bOGEY/ny5enJkyc5bscEmMBhAiz/JCcn08yZM7mvX0NDQ/L29ubtmH779o3++ecfmbgTVQ/v/vjxIy1fvlxmRKf0q23w4MF0/fp1wXiF3r59S+vXryd3d3c5D4aFhQV5enrSvn37dD6e6/Pnz7R3717q168fFStWTE5Y1K5dm2bOnEn37t0TzLlVFZGRkbR9+3bq0aOH3HyU+vr61KxZM/rnn390dnqk+Ph4Onz4sMKYR0tLS/rjjz/o9OnTGkuX8eHDB1qxYoVcKEWRIkVo9OjRFBAQIJiPvqioKG5SbQDUvn37XA98YgJM4DABlnckEgmdOnWK7O3tuZunXbt2vE0bExYWRiNHjpTJqG9lZUV//fWXzDRWeSUpKYn27dtHbdq0kZkQ19DQkLp27UpHjx4VRL4isVhMd+/epRkzZihMFVG+fHmaMGECXb16VacDxzMyMujmzZs0Y8YMqlOnjtxxsLS0pJ49e9KOHTsoKiqKb3M1Snp6Ovn4+NDUqVMVXiPFixenAQMG0H///aezE4G/fv2a1qxZozDmsWTJkjRixAi6ePGixu6RqKgoWrdunUzCVGkXeKdOnejIkSOCeP5IycrKoq1bt3LhGkZGRrR8+XKlPpCZABM4TIDljbdv38p8tdjZ2fGSSDUrK4suXLhAbdu2lXko1ahRg7Zv357vgPCsrCy6fv06DRw4kMzMzGTqaNy4MW3atEmlaSrURUJCAh09epQGDhxIJUqUkOtabNKkCS1btozCwsIE8+WcF8LDw2njxo3UpUsXuTQRUi/X9OnT6ebNm1odqKxqJBIJPX/+nNauXUseHh5y17pIJKL69evT3Llzyd/fXycHF0hFp7e3t1xC5F9jHjXV/nfv3tHq1aupadOmcomMpSOohTiK9P79+zIJYF1cXOjx48dK74cJMIHDBJhyZGZm0j///MN5mQwNDWn69OkanzYlJSWFtmzZIjNliZ6eHnXt2pVu3LiRbxHx6tUrmjlzplxeK0dHR5o/fz6Fh4erqCXq4+cv+J+HoEu9O71799b5rsXv37/TiRMnaNSoUXITXEs9OX379qU9e/ZoZS4kdRITE0OHDh2iIUOGyF3nUi+Pl5cXHThwQJAv+dzw7t072rp1K3Xr1k1OkOvr61Pz5s01GvMokUgoNDSUFi1aRHXr1pU7Jw0aNKBVq1YJbgS1lFevXlGfPn249hQuXJhWrVqV51hBJsAEDhNguScwMFAm5qlZs2YUFhamURu+fPlCc+fOlZm+w9zcnCZPnkwRERH52ndCQgLt2LGDGjduLCdWRo4cSbdv39Zq71BmZib5+fnR1KlTFQZHV6xYkaZMmULXr1/XWe9Oeno63bp1i2bPnk0NGzaU6SqWdtc0b96cFi9eTIGBgTrpycmOpKQkunTpEv31119ysUPSLqBWrVrRsmXL6OHDhzp5bJKTk+nixYs0adIkhfeItbU1eXl50aFDhzQWvJ6enk7Xrl2jiRMnyn0kiEQiatq0Kf37778ayZKvLiIiImjo0KFcV65IJKJBgwZRZGRkvvbLBJjAYQIsZ5KSkmjKlCncy8zKyop27typUTHy8uVLGjVqlMzwant7e1q1alW+zp1EIqFbt27RoEGDZGLH9PT0yN3dnQ4dOqTVea3i4uLo8OHDNGDAALm8S3x8wWsaqcfg33//Vdh1Ju06GjduHJ09e1ZmHjldJyMjg27fvk3z58+nZs2ayXlBgR8j5aZMmUIXL17U2TQRQUFBtGTJEmrVqpXcIBM9PT1q1KgRzZ8/nwICAjQmOj99+kQ7d+6knj17yg1qMDY2Jg8PD9q6datGkrWqk8ePH9OAAQNkEhS7u7vTw4cPVbJ/JsAEDhNgv+f69esykwf37dtXoxO1BgQEUI8ePWTiH+rWrUuHDx/O1xD3qKgoWrp0qUy+MgBUqVIlWrJkidbNifYzr1+/ptWrV1OrVq3kgoOLFi1K/fr1o//++08Qw8/zwvv372nXrl3Uv39/uTQA0m7FPn360I4dOwTtNVAWsVhMgYGB9M8//5C7u7tCMVq2bFkaPHgw7d+/Xye7XCUSCb18+ZI2bdpEPXr0kPsokR6DoUOH0pEjRzQWv5mRkUG3bt3KdsCHtbU1DR48mE6cOEGJiYkasUldZGVl0blz5+TS/7Rt25bu3Lmj0rqYABM4TIApJj4+nkaNGiXz0Lpw4YJG6pZIJHTlyhVq2bKlzA3s4eFBN2/ezLPnTSwW0/nz56lr164yX2SFCxemIUOGqCwhq6oRi8V0584dmjZtmtw8egDIycmJvL296ebNmzqZd+nbt2907NgxGj16NFWqVEmu/SYmJtS2bVv6559/dLbrTBFisZiCg4Np5cqV1KlTJ7n0CACoWLFi1LNnT9q8eTO9fPlSK6/v/PLu3TvavXs3eXl5ySVDlYYodO7cmdauXUvPnz/XyDGQCsENGzZQ586dFQ74qFu3Ls2ZM0dnBjV8/vyZli1bJtONqqenR7169VJbElgmwAQOE2DyXLlyRSYod/To0RrpusnKyqITJ07IJL40MDAgLy8vCg0NzfN+379/T3PnzpVLVNioUSPavn27Vn5xJiUlZZsQVV9fn9zc3GjlypX08uVLvk1VOYmJiXThwgXy9vamOnXqyI3+0tfXpwYNGtCMGTPIx8dHYwkv+UYsFtODBw84wfXrbAvSeMVOnTrRqlWrKCQkRCde7L/y/v172rdvHw0dOlThwAojIyNq3rw5LViwgO7evauxeMfo6Gg6ePBgtoMaihcvTv369aO9e/cKvmtRSkZGBp09e5a6d+8u440vUqQITZkyJd9xuTnBBJjAYQLs/0hKSqIxY8ZwN5GDgwP5+PiovV6xWEwHDx6Ume7GxMSExo8fn+cuJKm3q1OnTjKB2FZWVjRp0qRcZVnWNNHR0bRt2zbq1KmT3PyRFhYW1Lt3bzpw4IDO5V1KS0ujGzdu0OzZs6lJkyYKY5WqVq1K48ePp1OnThWYzPMZGRnk7+9Py5YtIw8PD7lYIal3p3379vTPP/9QYGCgziWIlUgkFBERQbt376bBgwfLhEP8KsinTZtGV65c0Vgs27dv3+jkyZM0YcIEhZ5pQ0NDcnNzo8WLF1NQUJDOiGGJREL37t2j8ePHy6W0qV+/Pu3YsUNjo+I1+f42AIOhJu7duwcvLy+Eh4cDAMaMGYNly5ahcOHCaqtTLBbj4MGDWLx4MV6+fAkAsLCwwLhx4zBx4kRYW1srvc8vX75g+/bt2Lp1K969e8ctb968OUaMGIHu3bujUKFCKmtDfnn58iVOnTqFU6dOwd/fH0TErStXrhw6d+6MTp06oVmzZjAyMuLRUtUhFovx4MED+Pj4wMfHB3fu3EFqaqpMGXt7e7Rq1QotW7ZEy5YtYWtry5O1miM1NRUBAQG4desW/Pz8cPfuXSQnJ8uUsbCwQNOmTdG8eXM0b94cderUgYGB7rwaJBIJnj17Bj8/P/j5+eHWrVv4+PGjTBk9PT3UqVMHbm5uaNGiBZo0aQILCwu12xYbG4tbt27h1q1buHHjBkJCQmTuVwCoVasWWrZsiTZt2qBp06YwMzNTu12agIgQFBSE48eP4/Dhw3j79i23ztraGv369cOQIUNQvXp1/oxUM7pzlzG0hszMTCxcuBCLFy+GRCJBmTJlsGvXLrRu3VptdYrFYuzfvx+LFi3C69evAQBWVlaYPHkyxo0bhyJFiii1PyLC3bt3sWHDBhw7dgyZmZkAgKJFi2LQoEEYMWIEnJycVN2MPCGRSBAUFISTJ0/i1KlTeP78ucx6FxcXdO3aFZ07d0b16tUhEol4slR1SCQShIaGcoLr5s2bSExMlClTsmRJtGjRAi1btkSrVq1Qvnx5nqzVHHFxcbh79y4nNgIDA5GRkSFTxsrKCk2bNkWzZs3QvHlz1KpVC/r6+jxZrHoyMjIQHBwMPz8/3L59G3fu3MG3b99kyhgaGqJu3brcMWjcuLFGBFd0dDQnAm/duoXQ0FA5weXk5MRdt25ubihevLja7dIUYrEYt2/fxunTp3Hy5EmZD1ozMzN06dIF/fv3R9u2bXXqIyA7dL+FDI3y+vVr9OvXDwEBAQCA/v37Y/369UoLoNwiFovx33//Yf78+ZzwKl68OLy9vTFmzBiYm5srtb+UlBQcPHgQ69evx6NHj7jlDRo0wOjRo+Hp6QkTExOVtiEvZGZm4tatWzhx4gROnz6NyMhIbp2hoSHc3Nw40VWmTBkeLVUNRITnz5/LCK5fX6pFihSBm5sb5+GqWrWqTojN3xEZGYnbt29zYuPx48dyL3QbGxs0a9aM+1WrVg16eno8Wax6vn//jrt37+LOnTu4c+cOAgICkJaWJlPG1NQUDRo0QLNmzdC0aVM0atQIpqamarWLiBAeHi5zfl69eiVXzsnJCc2bN4ebmxuaN2+uc57Z79+/4/Llyzh37hwuXryI2NhYbp2ZmRk6dOiAXr16wcPDQ+3nRNtgAoyhMvbv34/Ro0cjKSkJRYoUwaZNm9CnTx+11CWRSHDkyBHMnTuX62osUaIEvL29MXbsWKXd9O/evcOGDRuwfft2fP/+HQBQqFAh9OvXD2PHjkWdOnVU3gZlSU1NxdWrV3HixAmcOXOGsxMAChcujPbt26Nbt27o0KEDLC0tebQ0/xARXr9+DV9fX+4XHR0tU6Zw4cJo2rQp5y3QNU/Or0gkEjx9+pTz6ty+fVum20ZKhQoV0LRpU+7n6OioM0KUiPDy5UtOcN27dw9Pnz6VK1esWDE0adIEjRs3RtOmTeHi4gJDQ0O12ib1vEmF4J07d/DlyxeZMiKRCDVq1OA8kM2aNUPJkiXVapemkUgkCA4OxqVLl3Dp0iXcu3cPEomEW1+sWDF07NgRXbt2Rdu2bQuc6PoZJsAY+SYxMRFjx47Fvn37AADNmjXD/v37UbZsWZXXRUQ4e/YsZs+ejcePHwP4cUN7e3tj3LhxSsWXERH8/PywZs0anDp1intIODg4YMyYMRgyZAisrKxU3gZlSEpKwoULF3DixAmcO3dOJn6nePHi6NKlC7p164ZWrVppVRxaXvj48SPn4fL19cX79+9l1hcqVAiNGzdGixYt0KJFC9SrV0/tL1U+kcZvSV/md+/eRVxcnEwZPT091KxZE02aNOEEl42NDT8Gq4GkpCQEBgbi7t27uHfvHvz9/eU8nwBQsWJFNGnSBK6urmjcuDGcnJzULjqjo6Nx79493Lt3D3fv3kVQUBDS09NlyhgZGaFevXrc+WncuLHaegP45O3bt7h27RquXr2K69evy52jatWqwcPDAx07dkSjRo0KRPdibmBHgZEvQkJC4OnpiVevXkFfXx9z5szBzJkz1eKJuHnzJqZPn4579+4B+BE8/Oeff2LSpElKxW9kZGTg8OHDWL16NYKDg7nlrVu3xvjx4+Hh4cGrJyUhIQFnz57F8ePHcfHiRZnulDJlyqB79+7o3r07mjRpImiPz+fPn2U8XL92zxgaGqJBgwach6tRo0YwNjbmyVr18+nTJ5mutODgYIjFYpkypqamaNiwIefdadiwoUZilzSBRCLBq1ev4O/vz4mt0NBQGe8J8EOI161bF66urtyvRIkSarUtIyMDjx494my7d++eQu9jsWLF0LhxY+7n4uIi+A8jRURGRuLGjRvw9fWFj48P3rx5I7Pe3NwcrVq1gru7O9zd3WFvb8+TpdoNE2CMPEFE2LZtGyZMmID09HSUKVMG//33H5o0aaLyuh4/foxp06bh4sWLAAATExNMmDABU6dOVcpD9f37d2zevBnr169HVFQUt68//vgDEyZMQLVq1VRue25JSEjAmTNncPToUVy+fFnmS9rR0RE9evRAjx49UK9ePcF2J33//h23bt3C9evX4evriydPnsis19PTg4uLCxfD1bhxY50Z8fUrYrEYT548wd27dznRpeiFbmtry73MmzRpgpo1a+qM1+/bt28ICAjA/fv34e/vj/v378t5+ACgbNmyaNSoEVxdXdGoUSPUqlVLraN3iQhv376VsS04OFjOuyUSiVC1alUZIVixYkXB3p/ZQUR48+YNN7Djxo0bXLytFAMDA9SvXx9t2rRBmzZtUL9+fZ25TtUJE2AMpUlOTsaoUaOwf/9+AEDHjh2xe/duFCtWTKX1fPjwAbNmzcK+fftARDAwMMDw4cMxa9YslCpVKtf7efv2LVatWoWdO3dyXXi2trYYO3YsRo4cydsoo8TERJw9exaHDx/GpUuXZEarVa5cGT179kTPnj1Rs2ZNQT7Uk5OTcfv2bfj4+OD69esIDg6WCxCvUaMGJ7iaNWsm+Ni17IiLi4O/vz8nuO7fv4+kpCSZMnp6enB2dpbxoNjb2wvy3P9Keno6QkJCOFFz//59Lj3NzxQqVAguLi5o2LAhGjVqhEaNGil1r+eF2NhYBAYGIjAwkLMtJiZGrpyVlRUaNGjA2VW/fn2d8T7+jFgsxuPHjzlPrJ+fH/fBKkVPTw+1a9eGm5sbWrVqhSZNmig94InBBBhDScLDw9G9e3eEhoZCX18ff//9N7y9vVU6qiohIQFLlizB6tWrue43T09PLFq0CBUrVsz1fkJCQrBs2TIcPXoUWVlZAH688P/880/07t2bl+6slJQUnD9/HocOHcKFCxdkuhednJzg6emJnj17wtnZWXAv3oyMDNy/fx/Xr1+Hj48P/P39ufQdUipXrswJrubNm6u964gPJBIJFygu7a4KCwuTK2dubo6GDRtycUsNGjTQiRe6tP0BAQHcLyQkRO5aAIBKlSqhfv36aNiwIRo2bIgaNWqo1XOSnJyMhw8fcoIrICBAzpsD/Oj+rlmzpoxtFSpUENw9mRu+ffsGf39/rntV0ceBoaEhXFxcuLQdmsqTpuswAcbINefOncOAAQMQHx+PkiVL4vDhw2jevLnK9i8Wi7Fjxw7Mnj2b+wJt1qwZli9fjvr16+dqH0SEmzdvYsmSJbhy5Qq3vHXr1pg6dSpat26t8YdoRkYGrl69ioMHD+L06dMygfQVK1ZE79694enpKTjRJZFIEBISguvXr+P69evw8/NDSkqKTBk7Ozsu+WmLFi1QunRpnqxVH4mJiQgICOCCsf39/WVGqEqpUKEC15Xm6uqKatWqCTqGD/hxv0VGRuL+/fsIDAxEUFAQgoKCEB8fL1e2ePHiqF+/PurXr48GDRqgQYMGKFq0qNpsS09Px6NHjzibgoKCEBYWJhdTBvw4N1Lb6tevj9q1a+tk7JY0lk3q6bt//77C1BiWlpZo2LAh1/XdoEGDAj1aUV0wAcbIEYlEgsWLF2POnDkAAFdXVxw9elSlXQPXrl3DpEmTOE9BpUqVsHz5cnTq1ClXokQikeD8+fNYvHgx7t+/DwDQ19eHp6cnpk6dilq1aqnM1twgkUhw+/ZtHDx4EEePHpXJfVOuXDn07t0bffr0EVT3ojQ1xLVr13Dt2jX4+vrKtAv4kQpE6uGSJj8VSvtyAxHh1atXnGfr3r17ePLkicJA8Xr16nFxS40aNcrTLAzaRkxMDIKCgjgPUmBgID5//ixXzsTEBHXq1JERNQ4ODmq7FtLT0/HkyRNOaD148ABPnjxR6HUrVaoU6tati3r16qF+/fqoW7cu76Od1UFWVhZevHghc65CQkLkEvMCPzzTjRo14jyyupYrTlthAozxW5KSkjBw4ECcOHECwI/phP7991+VBcG+fv0af/75J06fPg3gR5zFvHnzMGrUqFx1RWRlZeH48eNYtGgRQkNDAfx4+Q0ePBh//fUXHBwcVGJnbgkNDcWBAwdw8OBBfPjwgVtuY2MDT09P9O3bFw0aNBCMKPny5QuuX7+Oa9eu4fr16zKZq4Ef3WjNmzfnvFy6kmlfSlJSEufdknbRKEqDYG9vzwmtRo0aoWbNmoKf5ikuLg4PHjyQ8Wz9ev6BHx861atXR7169bifs7Oz2lINpKWlITQ0FA8ePOB+2Ymt4sWLo27dujI/XfTCSiQShIeHy3j7Hj58KNeVCPxfLNvPnkhdFKBCgAkwRra8e/cOnTt3xuPHj2FkZISNGzdi6NChKtl3cnIylixZguXLlyMjIwP6+voYO3Ys5s6dm6uHgVgsxqFDh7B48WJu6h1zc3OMGTMGkydP1mhyw6ioKBw8eBD79++XyZ5vYWGBHj16oF+/fmjRooUguptSUlLg5+fH5fT5uT3Aj1gQV1dXtGrVCq1atUL9+vV1JqePNHP5z94tRWkQjI2NUbduXY0GiqubhIQEPHz4UOYFrihIHvi/uC2pF6lWrVpq655KTk7Go0ePEBwcjAcPHiA4OBhPnz6VS88B/BAWLi4uqFu3LlxcXODi4qIzgxh+RiwW4/nz53j48CEnQENCQhSKLVNTU84TKT1fupSYV+joxpOToXLu3buHrl274suXLyhZsiROnDgBV1fXfO+XiHDixAlMnjyZ8xC1adMGq1evRtWqVXPcXjrZ9qJFi7jYhaJFi2LixImYMGGCWmNKfiYlJQUnT57E3r17ce3aNe4lbWhoCA8PD/Tv3x8dO3bU+jgSaRzX1atXcfXqVdy+fVtuuH3NmjXRunVrtGrVCs2aNdOZ1BCJiYkIDAzkxFZ2ST6laRCkv9q1awvau5WYmCjz8g4MDORmk/iVcuXKcV6tunXrok6dOmobqRobG4uQkBA8fPiQs+/FixdyI2eBH/m2pCLLxcUFderUQbly5XROWCQnJ+PJkyfcMQkODkZoaKjcPQr88PzXrFmTO1cuLi5wcnLSmQ8kneT/tXfWYVVs3xt/D0grKIiIohgoKIK0gYhiYmJ3d167xRa7rl1YKMY1sBUVJAxKEUQxUREQlZA6xFm/P/id+TKeA9KC7s/zzPPcO7NnZs+e4zkva6/9LionxMfH07BhwwgA9enTJ9/npaSk0MKFC0lPT4/k5ORIXV2devXqRSEhIRJtv337RlOmTKHatWuTnJwcaWlp0bBhwygiIqJAfU1ISCAAlJCQUKDzygqnT58mBQUFAkBNmzYt8PPnxqtXr6hz584EgACQrq4unT9/nkQi0S/PzczMpBMnTlDDhg258zU0NGjt2rWlNs4ikYju379Po0ePpkqVKnH9AEDW1ta0Z88e+vbtW6n0pShERkaSs7MzDRo0iDQ1NXnPAYBq1apFo0aNIhcXF4qOjv7d3S0WRCIRvXz5ko4cOUITJkwgY2NjkpGRkXh2BQUFatmyJc2ePZvOnTtHnz59+t1dLxKJiYnk6elJW7ZsoSFDhpCBgQEJBAKJ5xa/9169etGaNWvo5s2b9PXr1xLpk0gkog8fPpCbmxutXLmSHBwcSFdXV2qfAJC2tjZ17dqVli5dShcuXKCIiIh8fWeUJ0QiEX369ImuXbtGTk5ONHDgQNLX18/1XVWsWJFatWpF06dPp6NHj9KzZ88oIyPjdz/GH0Fp/n6XC2ns7u6OUaNGSf1LKC+ICA4ODvDw8ICjoyPatGmD6OhoODo6wtraGo8fP0bDhg0BZOcVtGnTBhEREVi9ejXMzc3x5s0bLFq0CNbW1njy5Emx+1yVNYgI69evx8KFCwEAPXr0gIuLS4HK+0hDKBRi/fr1WLt2LYRCIeTl5TF//nwsWLDgl1MXIpEI58+fh6OjI8LCwgBk//U7d+7cQhXbLgyfPn3C0aNHceTIEd60TN26dTF8+HAMGzYM9evXL/F+FJa0tDR4eXnh5s2buHnzpoQBasWKFdG2bVvORFFfX7/cRxLEKxNzOpf/vGAAyF6lmTO6VdImnyVJYmIiAgMDuem6gIAAhIeHS/3e1NHR4aJH4tyokrAEESeCP3nyBE+fPuUiOV+/fpXavm7dujA1NYWpqSnMzc1hamr6R5VWArL/PT5//hzBwcF49uwZnj59iqdPn+Y6JtWrV0fTpk1hYmICMzMzmJmZoV69eixJ/k+gxCVeEYmKiiKBQEATJkyg0NDQAkXAzp8/TwBo9erVvP3v378nOTk53nW2bNlCAOjEiRO8tj4+PgSAZs+ene8+l8cIWGZmJk2aNIn7C+uff/6hzMzMIl/X09OT9PX1uet26NCBwsPDf3meSCSi69evk6mpKXdu5cqVac2aNZSYmFjkfv2KtLQ0Onv2LHXu3Jn3V6iKigqNGjWKPD09KSsrq8T7URjE0Z7t27eTvb09KSkp8f56FggEZGlpSYsXLyZPT08SCoW/u8tFQiQSUXh4OB09epQmTJhATZs2lRrdUlRUJGtray66FRkZ+bu7Xmi+f/9O7u7utGHDBhowYAA1aNAg1wiSjo4O9ezZk1auXElXr16lmJiYEulTUlIS+fr60u7du2n8+PHUrFkzic+eeJOVlaUmTZrQ0KFDafPmzXTv3j2Ki4srkX79LkQiEb17944uXbpEq1evpoEDB1Ljxo1JVlY21zFp1KgRDRw4kJycnOj69et/TAS6PMEiYDmQk5PD+fPn4eDgILVUR164uroCAEaNGsXbr6uri7Zt28LNzQ0pKSlQVlaGq6srVFRU0L9/f17bli1bomHDhnB1dcWmTZuK9CxlldTUVAwaNAiXLl2CQCDAtm3bMH369CJdMz4+HnPnzsXBgwcBAFpaWti2bRsGDBjwy+iKr68vFixYAC8vLwDZyfUzZ87ErFmzStwpPSwsDAcPHsSxY8d4f5G2bt0ao0ePRp8+fYocESwJkpOTcffuXdy4cQPXr1+XqM1Wo0YNdOrUCZ06dUL79u3LdTQ3OTmZl7v14MEDqdGDPyW69e3bNy6iJY5wvX37Vmrb2rVrw8zMjJcfVdz2F0SEqKgoPHnyhItsPXnyBK9evZIabVNRUUHTpk25KI6pqSmMjIzKfH5kQfj27RuePXvGbaGhoQgJCUFiYqLU9hoaGjA2NoaRkRGMjIxgYmICQ0NDKCkplXLPGb+TMi/ANDQ04ODgUKhzAwMDoampKXWFkrGxMW7duoWnT5/CysoKT58+zdWF2djYGOfOnUNUVBS0tbUL1ZeySnx8PLp37w5vb28oKCjAxcUFffr0KdI1L126hEmTJiEqKgoAMG7cOKxfv/6XCfJhYWFYuHAhZ0mhqKiIKVOmYMGCBSVaLig1NRXnzp3D/v374e3tze2vUaMGRo4ciVGjRkFPT6/E7l9YXr16hWvXruHatWvw8PDg+fvIycnBxsaGK4Zb3kxexRARIiIiOJNTX19fPH36lKtsIEZBQQHm5uY8wVUeVyZGR0fzVvwFBgbiw4cPUtvWrVuXm5ISJ6IX9zRiRkYGN4Uo3oKDg6WW6gGyp8tMTEx4m56eXrlYAZwfkpKS8Pz5cwmhFR0dLbW9nJwcGjVqBGNjYzRp0gRGRkYwNjZGzZo1y+W/R0bxUuYFWFGIjo7OtQq7+K/CqKgoxMfHQygU5vqXYs620gSYUCjkrUrJ7a+eskZ0dDQ6deqE4OBgqKmpwc3NDa1bty709WJjYzF9+nQu8tiwYUMcOHDgl9eMjo7GsmXLcPDgQYhEIsjIyGDUqFFYvnw5dHR0Ct2fX/HixQvs27cPR48e5ZzLZWVl0bVrV4wbNw6dO3cuUyuIhEIhPD09ce3aNVy9elXCJqBOnTro3Lkz7O3tYWdnVyYjdb8iPT0dgYGBnNjy9fXlhHxOatasyZmctmzZEiYmJr+ltFRhISJ8+vRJQmxJe1Yg26ldLLLEW3F7N33//p3LRxJHtZ4/fy7VuFNGRgb6+vqcyBJHuP6UfK2UlBS8ePECISEhCA0N5cRWbmIYyP73J45qGRoawsjICA0bNiyXUVdG6VB2fl1KgJSUlFw//OIv65SUFK58Sn7aSsPJyQkrVqwoandLlYiICLRv3x6vX79G9erVcfPmTRgbGxf6ev/99x8mTZqE2NhYyMrKYs6cOVi+fHme0wwpKSnYvHkz1q9fz5Xn6dmzJ5ycnNCoUaNC9yUvMjIycPHiRezZswf37t3j9uvq6mLs2LEYPXp0mYqcREdH4+rVq7hy5Qpu377NK2MkJyeH1q1bo0uXLrC3t4eBgUG5+6s6NjaWJ7b8/PwklthXqFABpqamnNhq0aIFateu/Zt6XHCICO/eveNEltgkU9q0qUAggIGBAU9smZiYFOvUe1ZWFl6/fo3g4GDeFGJkZKTU9pUqVeKmD8VCq0mTJn/EdFlKSgpevnyJ58+fc9GskJAQvH//PtdFX9WrV+eiWU2aNIGhoSEaN27MilEzCswfLcCUlZWl/vUGgPuSV1FR4Vbi5aetNBYuXIhZs2Zx/5+YmIhatWoVut8lzatXr9CuXTt8/PgRderUgbu7e6FX8cXFxWHq1Kk4efIkAKBJkyZwdnaGhYVFrueIRCKcPHkSCxcuxKdPnwAAVlZW2LRpE2xsbArVj1/x+fNn7Nu3DwcOHOCiDDIyMujWrRsmTJiATp06lYlpEiJCcHAw3NzccOXKFTx+/Jh3vHr16ujatSu6du2K9u3bl6svfSLCixcv4OvrCx8fH3h7e0utQ1e1alVezUQLC4tyU4dOJBLh1atXvNWIgYGBUmsjysrKonHjxjwvK2Nj42KNXMbHxyMkJIQX2Xr27BlSU1Oltq9Tpw4ntkxMTGBsbIw6deqU+xV3SUlJePHiBcLCwjixFRoainfv3uUqtDQ0NDiBJY5qNW7cuFznTzLKFn+0AKtZs2auc/OfP3/m2lSpUgVKSkr5aisNBQWFcjP9ERYWhnbt2iEqKgr6+vq4c+dOoUtz3Lp1C6NHj0ZkZCRkZGSwYMECODo65jkWjx49wj///MPVa9TV1cW6devylZxfUIgIvr6+2LFjB86fP8+5Z2tpaWHcuHEYN25cmYikpKenw9PTE5cuXcLly5clpjksLCzQrVs3dOvWDaampuXmx1AoFMLPzw8+Pj7w8fGBr6+vVKPTxo0bc2LL2toaDRo0KBeRPLEjuVhsBQYG5lr+RV5eHkZGRrycreJMRBeJRHjz5g2Cg4MRHBzMia3cFi4pKSlx+UhiwWVsbAxVVdVi6c/vIiEhAc+fP5cQW3kt4NLQ0EDjxo3RuHFjNGnSBE2aNEHjxo3/iNqdjLLNHy3ALC0tceLECXz8+FEiIhUQEAAlJSUYGxtDRkYG5ubmCAgIgFAolBAQAQEBqFu3brn/B/n8+XO0bdsWX758gZGREdzd3Qv1TGlpaZg/fz527NgBAGjQoAGOHTuG5s2b53pOdHQ0FixYgKNHjwLI9p5atGgRZs6cWeyroYRCIVxdXbF9+3YEBQVx+1u1aoUpU6agd+/evz0vIzExEdevX8fFixdx7do1Xt6gkpIS2rdvjx49eqBr167lZuHH9+/f4evrC29vb3h7e8Pf319iOlFJSQlWVlac2GrRokW5qEOXkZGB0NBQXlTr6dOnUiNJSkpKaNq0KedlZW5uDkNDw3zVNs0PiYmJePbsGSe0xKIr5/R0TmrVqgVjY2MYGxtzka369evzIr5ExIlecRqBuro6b39Z4tu3bwgNDUVYWBi3PX/+nIuoS6NatWpo1KgRGjVqBENDQxgaGqJJkyYl4n/GYOSHP1qADR06FCdOnMDBgwd5OVqhoaHw8fHBsGHDuB//oUOHwtvbGydPnuTZVty4cQMfP37EsmXLSr3/xUlYWBjs7Ozw5csXmJiY4Pbt24VaWRgSEoJBgwZxZp6TJ0/Gxo0bc50iysjIwK5du7Bs2TJOZIwYMQJOTk7FLiy+fPmCPXv2YPfu3fjy5QuA7JWUQ4YMwbRp09C0adNivV9BiYmJwaVLl3DhwgXcuXOHVzxYS0sL3bt3R48ePdC+fftykV/z8eNHeHl5wdvbG15eXggNDZWYzqlWrRpatWoFa2trWFtbw8zMrNiESEkhFAoREhLCS44PDg6WWv6lYsWKMDU15SXHF1f5F5FIhHfv3vFE1tOnT3O1oFBUVIShoSEX1RJvv1p9LBZZRITRo0fj6NGjWL16NRYtWvRbBRgR4fPnz3j+/DmeP3+OsLAwLrIl/vctjRo1anBCK6fYKsmV1AxGYSjzAuzz58/cFKA4dycuLg7+/v4Asqf/jIyMcOzYMYwePRo7duzA5MmTAQCdOnVC3759sXbtWlSoUAF2dnb4+PEjFi1ahGrVqmHNmjXcfcaMGYMjR47gn3/+wY8fP2BhYYGwsDAsWLAABgYGmDt3bik/efHx8uVL2NnZISYmBiYmJrhz506Bow5EhH379mHmzJlIS0tDtWrVcOTIEdjb2+d6jre3NyZNmsSJNQsLC+zcuRPNmjUr0vP8TGhoKLZs2YITJ05weXw6OjqYMmUKxo0b91tzNiIiInD+/HmcP38ePj4+PIGir6+Pnj17wsHBAc2aNSvTU4tEhJcvX8LLywv379+Hl5cXIiIiJNo1bNgQNjY2sLa2RqtWraCnp1cmIyhihEIhgoODeT5bz54944ljMWpqajyhZW5ujgYNGhTLe0tKSkJISAiXFC92Sf/x44fU9jVr1kTTpk1hZGTECa2GDRvmKvwCAgLg6uqKgIAA6OjoYOzYsdzqZIFAgKSkJEyZMgVXr16FpqYmVzWgND6TWVlZeP/+PcLCwhAaGornz5/j5cuXCAsLy3NFua6uLgwNDWFgYAADAwM0btwYhoaGqFy5con3mcEoFkrc6rWILFu2LFeHZ/x/PUEiImdnZwJA//77L+98oVBIK1asoAYNGpCcnBxVq1aNhg4dSu/evZO4V0JCAs2cOZOrBVmzZk2aNGkSxcbGFqjPZckJ/82bN1SjRg0CQMbGxoWq7xYXF0d9+vThxrxz5855OjTHxsbSqFGjeDUb9+/fX6zO8SKRiO7evUv29va8z4OVlRWdOnWK0tPTi+1eBSU8PJycnJzIwsJC4vNqYWFBa9eupefPn/+2/uWHrKwsevLkCW3fvp369OlD1apVk+rcbWFhQTNmzKD//vuvxBzWi4vU1FR6/Pgx7d69m8aMGUMmJiZUoUIFqd8rVapUofbt29P8+fPp9OnT9OrVq2L5/IpEInr//j1dunSJVqxYQb1796b69evn+v0mLy9PpqamNHLkSNqyZQu5u7sX+Pvo+fPnZGlpST169KDly5fT6NGjSVFRkVf149SpU9SkSRN68+YN1a1bl/r371/s9RZTU1MpODiYTp8+TcuWLaN+/fqRkZERV3dW2iYjI0MNGzakXr160aJFi+jYsWPk5+dHP378KNa+MRhiSvP3W0BUwAKLjF+SmJgINTU1JCQk/Nak1sjISLRq1Qrv379H48aN4eHhUeB8B39/f/Tv3x/v3r2DnJwc1q1bhxkzZkj9y5iIcOzYMcyePZtLth43bhycnJyKLQqVlZWF8+fPY8OGDVwUVCAQwMHBAbNnz4a1tXWx3KeghIeH4+zZszh79iyePn3K7ZeRkYGNjQ169+6NXr16ldnVsZmZmXjy5Ak8PT3h6ekJLy8vxMfH89ooKCigefPmaN26NWxsbNC8efMyuwpTKBTi2bNn8Pf3h7+/PwICAhASEsItxMiJhoYGzznezMwMderUKXLkLiUlBaGhoTxfreDg4FyjOmIT06ZNm3I5W/r6+hJTtnFxcbhw4QJu376NHz9+wN7eHpMmTco1WtW9e3d8/PgRN2/ehJaWFjIzMzFu3DhcvXoVwcHBqF69Ojw8PKCqqgozMzO0atUKAoEAFy5cKNS0XXx8PF68eIEXL17wpg/fv38PkUgk9RwFBQXo6+tzUSxxVKtBgwblZoET48+gNH+/y/wUJKNwfPv2DR06dMD79++hp6cHd3f3AokvIsLevXsxY8YMpKeno27dujh9+jQsLS2ltn/z5g0mTpwId3d3AICRkRH27t2Lli1bFsvzCIVCHD16FBs3buQMSJWUlDBq1CjMnDnztzjVv379GmfOnMGZM2d4oktWVhZ2dnbo27cvHBwcyuTijczMTAQFBcHDwwMeHh7w8vKSmO6qWLEirK2tYWtrCxsbG1haWpbJH8P09HQuZ8vf3x9+fn549uyZVLFVtWpVntgyNzdH7dq1iyS26P9zlXKuPnzy5AnCw8OlCg6xO3rO1YfGxsb5+pyIRCKsWrUKHh4eaNasGfT09LB69Wp4eXnh0KFDElY5QqEQ9+/fx9q1a6GlpQUiQoUKFTB+/HicO3cOFy5cwKRJk9CqVStu+rJBgwacAW7VqlXzzAMLDQ2Fh4cHLxE+t9XkQPY0bqNGjbhVh40aNYK+vj7q1KlTJmxgGIzShAmwP5Dk5GR07doVYWFhqFmzJtzd3QuU8J6SkoKJEyfi+PHjAAAHBwc4OztLza3IysrCtm3bsHTpUqSmpkJRURHLly/HrFmziiXZOjk5Gfv27cPmzZu5XEB1dXVMnToVU6dOLfUVTB8+fMDp06dx+vRpBAQEcPsrVKiAdu3aoV+/fnBwcChzXkFZWVl48uQJ7t27xwmunyMxampqsLGxga2tLWxtbWFqalqmKgEA/7N+8PPz46JbT548kerhlzOyZWlpCXNzc9SqVatIYisjIwNhYWESJqbSTFUBQFNTk5cQ37RpUxgYGBR6Fe7169exc+dOHDlyBIMHDwYANG3aFMOGDUOnTp24BURi0fT8+XMIBAJOmGVlZaFChQqciai7uzuGDBkCVVVVZGRkQE5ODgYGBrh+/To+ffoEIyOjPAXYhQsXsHTpUon92traXBK8OKqlr68PLS2tMp0TyGCUJmXr25VRZDIyMtC/f388evQI6urquHXrVq7lmKTx7t079O7dG0+ePIGsrCycnJwwZ84cqV+aYWFhGDVqFOfpZWdnh3379hVLNCoxMRH//vsvtm7dyk1n1qxZE3PmzMHYsWNLtcxObGwszp49i1OnTvFqRYojXf3790evXr3KlOgiIoSEhODu3bu4d+8ePD09JaYUK1eujNatW8PW1hZt2rRB06ZNy1QUgojw+vVr+Pn5cYIrMDBQakWKKlWqcGLLwsICFhYW0NXVLdKPfXx8PCeyxEIrNDQ0z9I8OYtOm5iYFHtpntOnT8PExAQdO3bk9vXt2xcHDhzA4cOH0a5dO9SuXZsTWkKhEPLy8hLecuLVm/fu3UNcXBxUVVW5sTI0NERaWprURRY/Y2lpiW7duvGiWgYGBuXeT4zBKA2YAPuDICJMnDgR165dg5KSEq5cuYLGjRvn+/w7d+6gf//++P79OzQ1NXHmzBm0adNGol1WVhY2b94MR0dHCIVCqKqqYvPmzRgzZkyR/7qNj4/Hjh07sHXrVk4w1K9fHwsXLsSwYcNKzb8rKSkJly5dgouLC27dusUVfxYIBLCxscHAgQPRp0+fMjW9+PbtW9y5cwd3797F3bt3JZbqq6qqonXr1mjTpg3atm1b5gTX58+f8fjxYzx+/JiLbolrdOakUqVK3CpES0tLWFpaol69eoX+7BERPnz4gKCgIF5UKzfzTlVVVYmoVmmV5hEKhVBWVuaiy+KoVceOHbFq1Sq8fPmSZy6spqYGTU1NqRUHGjdujFOnTnGRUHEOmb6+PgQCASfA8hrXTp06oVOnTsX2fAzG3wQTYH8Qq1atwuHDhyEjI4PTp0+jRYsW+TqPiPDvv/9i1qxZyMrKgoWFBc6fPy81Yfz169cYPnw4Hjx4AACwt7fH/v37i1w0OyEhAdu3b8eWLVu4si2NGjXCkiVL0L9//1KZCsvMzMSdO3dw4sQJnD9/nhdpMTc3x+DBg9G/f/8SLRBeEGJjY3H37l24u7vjzp07ePfuHe+4kpISbGxs0LZtW9jZ2cHMzKzMTCkmJCTA39+fE1yPHz/mpphzoqCgAFNTUy6qZWlpCQMDg0LbI+R0rw8KCuLEljShB2RbHeSsgWhiYoK6dev+lmk0kUgEZWVlJCQkcLl44nGwsLBAeno6Xr9+jQ4dOnD909TUhLa2NsLCwgDwxVT16tWRnJzMiTnxtXR1dVGxYkV8/Pix1J6NwfgbKRvfxowi4+rqypnF7tq1C927d8/XeRkZGZg6dSr2798PABg2bBj2798v4U5PRDhw4ABmzpyJlJQUqKqqYuvWrRg1alSRfoySkpKwY8cObNq0ifsRbNy4MZYtW4a+ffuWig/Rs2fPcOzYMbi4uHBec0B25G3IkCEYMmQIGjZsWOL9+BVpaWnw9vbG7du3cfv2bZ7LP5Cdh9asWTO0a9cO7dq1Q7NmzcpE0nxGRgaePXuGhw8f4tGjR3j8+DFevnwpYdoqIyODJk2acFEtS0tLNGnSpNBRz5SUFDx9+hRBQUEIDAzEkydPEBISItVQtUKFCjA0NOSmDsVi61cmpqWJQCBAjRo1cPXqVQiFQigqKnIRTAMDAwD/80oU71dXV4exsTH27duHrKwsXsQzPT0dWVlZ3HQhEYGIIC8vj5o1ayI2NrbMOuEzGH8CTID9ATx8+BAjR44EAMyZMwcTJ07M13lxcXHo168f7ty5A4FAgA0bNmD27NkSX7ixsbEYM2YMLl++DABo27YtnJ2dC5Rb9jNpaWnYu3cv1q5di9jYWADZEa9ly5ahX79+JS68vn79ipMnT+LIkSM8IaOuro6BAwdi2LBhaNas2W/98RHncd26dQu3bt3C/fv3kZaWxmtjZGSE9u3bo3379mjdunWp5sZJQzyd9+jRI05wBQYGSvQbyC78bGVlBSsrKy5JPreC978iLi6OE1ri7dWrV1JXIVaqVAkmJiYwNTXlBFfjxo3LhFjNC4FAAD09PXz//h2fP3+Gmpoad0xLSwuysrJIS0tDVlYWBAIBBAIBZGRk0KlTJ2zbtg2XL1+Gg4MDJ6oePXoEAwMDTpTl/KwrKirC19cXAwYMwKtXr9C2bVssWbKkXJSNYjDKDSXuNPYXUppGbh8+fOBMMnv06EGZmZn5Ou/t27fUqFEjAkAVK1aky5cvS2138+ZN0tLS4kwhN23aVCRDyszMTDp06BDVqlWLM1vU09Oj48eP57vvhSUjI4OuXLlCvXv3Jjk5Oe7+cnJy1KtXL7p48SIJhcIS7cOv+Pr1K506dYpGjhzJGejm3GrUqEEjRoygEydO5GmGW1okJSWRh4cHrVu3jhwcHKh69epSDTUrV65MHTt2pKVLl9Lly5eLZNoaFRVFV69epdWrV1OvXr1IV1c3VyNPLS0tsre3p0WLFtHZs2eLzVC1JBAKhRQSEkJnz56l06dPS23z5MkTkpeXp2PHjnHPkZWVRZmZmVStWjVavXq11PPatWtHTZo0oRs3bhARUXBwMGlpaZGjoyPX5uTJk6SlpUUCgYA0NTWpbdu2NHr0aFq7di2FhIQUuzErg1EWKc3fbybASoDSeoEpKSlkbm7Oudzn1x3a39+fE1U1a9akJ0+eSLRJT0+n+fPncz9khoaG9PTp00L3VSQS0aVLl6hx48bcNXV0dGj//v0l7lr/+vVrWrhwoYSgMTMzox07dhSqOkBxkZmZSY8ePaLly5dTs2bNSCAQ8PqopKREnTt3pi1btvz2H0GRSESvXr2iY8eO0eTJk8nU1JRkZGQkRE+FChXIzMyMJk+eTMeOHaOXL18Wqt8ikYg+fPhAFy9eJEdHR+rWrVuuAg8A1atXj/r06UNr1qyh69evU1RUVAmMQtFJTU2lJ0+e0KlTp8jR0ZH69OlDBgYGJCsryz1Lw4YNcz3f2NiYevfuzft+CQoKInV1dTp69CgRZVcG2b9/P6WkpBBRtnDr1asXGRkZkaGhIWloaNCECRPo+/fv3DU+fPhAT548odTU1BJ6cgaj7MMEWDmnNF6gSCSiESNGcKV+pJVWksbNmzdJRUWFAFDTpk3p06dPEm0iIiKoRYsW3I/BpEmTuC/ywvDo0SOysbHhrqeurk6bNm0q0jV/RVpaGp08eZLatm3L+5GuWrUqzZgxo0hisqh8/fqVXFxcaMiQIVS1alUJIdGkSROaPXs23b59+7f+GKakpJCnpyetW7eOevbsKbUckVjE9+nThzZu3Eje3t6Feq8ikYgiIiLo/PnztHjxYrK3t8/1fjIyMmRgYECDBw+mTZs20b179yguLq74B6CIpKWlUVBQELm4uNCSJUuod+/epK+vL1W0irdKlSqRpaUljR49OlfRumPHDqpevTotXryY2zdixAiulJBIJKL27dtTrVq1eGWLkpKS6MKFC3TmzBl68eJFiT8/g1EeKU0BxnLAyil79uzB0aNHuRWPderU+eU5J0+exIgRI5CZmYl27drh/PnzEn49165dw7Bhw/D9+3eoqanh0KFD6NOnT6H6GBERgYULF+LUqVMAsvNKZsyYgfnz55dYwdzw8HDs378fR44c4fzDBAIBOnXqhDFjxqBHjx6lZmUhhojw7NkzXLlyBVevXsXDhw95uUmqqqro0KEDOnfujM6dO/+2VZZRUVHw8fGBr68vfH19ERgYKFGUWl5eHmZmZmjRogW3Faa/kZGR8PPz44pgBwQESNhmANnJ5I0bN+YVwDYxMSl0rlhJkJ6ejpcvX+LZs2dc2Z3Q0FC8fv2asy/5mSpVqkgYlRoaGqJmzZq/zDscO3YsEhMT4eLiAnd3d0RHR6NKlSrYvHkz6tWrh6ysLKxevRqZmZm8nC0VFRU4ODgU56MzGIwiwGpBlgAlXUvKz88P1tbWyMjIwMaNGzFnzpxfnrNr1y5MnToVADBo0CAcOXKEJ0SysrKwfPlyrF69GkD2svYzZ86gbt26Be5fUlIS1q1bh82bNyMtLQ0CgQDDhw/H6tWrS0RcZGRk4NKlS9izZw/u3r3L7dfR0cGYMWMwevRonjdSaZCWloa7d+/i8uXLuHr1qsSSfiMjI3Tp0gX29vZo2bJlsVQNKAgikQhhYWHw9vaGt7c3fHx8JGwsgGxH85YtW3Jiy9zcvMDJ6rGxsZzlhLhcUM7VpmLEKxFzlgkyNjYuFX+t/JCZmYnXr1/j2bNnePbsGSe0Xr16JbXsEZAttAwNDXlGpU2aNIG2tnaRF3j4+fkhKCgI9evXh5mZGapUqcJWLTIYRaQ0a0EyAVYClOQL/P79O8zMzBAREYFevXrhv//+++UXrpOTExYtWgQAmDp1KrZv385bZfjt2zcMHjwYt27dAgBMmTIFmzdvLvAPLRHBxcUF8+bN435g27Rpgy1btsDU1LRA18oPnz9/xv79+7F//37ufjIyMrC3t8fEiRNhb29fqkajX758wZUrV+Dm5obbt2/zfMSUlJTQrl07dO3aFV27di31otzp6enw9/eHl5cXvLy84OvrK+F9JSMjAyMjI1hbW6Nly5awtrYusJv8jx8/EBAQgEePHnHu9dIc1WVkZGBoaAgLCwtObDVt2rRMiC2RSISIiAg8e/YMwcHBCAkJwfPnz/Hy5UupLvhAtuGpOIrVqFEj7r9r1KjBBBGDUY5gxbgZUiEijB07FhEREahXrx4OHz6c55c7EcHR0ZGLai1duhQrVqzgnRMcHAwHBwe8e/cOysrK2L9/P4YMGVLgvgUFBWHq1Knw9fUFANSrVw+bNm2Cg4NDsf4AERF8fX3x77//4r///uMiD1paWhgzZgwmTJhQqtGuV69e4eLFi7h48SIePHjA87bS0dFBt27d0K1bN9jZ2ZWquEhKSsKDBw9w//593L9/H48fP5awglBWVkazZs3QqlUrtGrVCs2bNy/QF056ejqePXuGx48fc/5eL168kPD3ArLd1cXeXmVlGpGIEBMTg5CQEJ7YCgsLQ3JystRzVFRUYGhoCCMjIy6iZWhoCB0dHSa0GAxGgWACrByxb98+XLhwAfLy8jhz5kyeeVREhIULF2L9+vUAgPXr12PevHm8NufPn8ewYcOQkpKCunXr4uLFizA2Ni5Qn+Li4rB06VLs2bMHIpEIKioqWLx4MWbOnClh5loUhEIhXF1dsWPHDgQGBnL7W7VqhSlTpqB3796lkttFRAgICMCFCxdw4cIFzmFcjJmZGXr06IEePXrAxMSk1H6U4+Pj4ePjA09PT3h6eiIgIEAi/6hq1apo1aoVbGxs0KpVK5iamuZ76pOI8O7dO05sPXz4EEFBQVJNTWvVqsX5e4kjXDk9q34HP378QGhoKDd9+PTpU4SEhOD79+9S28vLy6NRo0YwMjLixJahoSF0dXVLxRyYwWD8+TABVk4IDQ3FzJkzAWRPKZqbm+falogwf/58bNy4EQCwfft2TJ8+nXd8zZo1WLp0KQCgffv2cHV1LVAxafF04+zZs7nk6YEDB2Ljxo3Fmuf15csX7NmzB3v27EFMTAyA7GT+IUOGYOrUqTAxMSm2e+VGVlYWfHx8cP78eVy4cIFX2LhChQpo27YtevbsiR49epTa1GJcXBy8vLzg4eEBDw8PPHnyRCLyVLt2bdjY2MDW1hY2NjZcjb/8kJCQAD8/P05sPXz4EF+/fpVoV6VKFVhaWqJZs2ac4CruAtQFITMzE69eveJFtZ48eZJrYWmxuamRkRGMjY1hZGQEQ0ND1K9fv8yUbWIwGH8oJb7O8i+kuJexpqWlkYmJCQGgzp0752kkKRKJeP5du3btkrjW0KFDuePTp0+njIyMAvXn1atX1K5dO+4aBgYGdOfOnUI9W248f/6cxo4dSwoKCjy7Aycnp1Lx7crIyCB3d3eaOHEi55km3lRUVKhPnz504sSJUrM/iI+Pp8uXL9OsWbPIzMxMwi8MADVo0IDGjBlDx44do/fv3+f72llZWRQaGkqHDh2icePGUZMmTaReX05OjiwtLWnq1Kl0/PhxevXq1W/1Jfvy5Qvdvn2btm7dSqNHjyZzc3Pe5+XnTVtbmzp27EizZ8+mo0ePUlBQUIlaoTAYjPIH8wEr5xT3C1y4cCHn9/X58+c82zo6OnI/ODt37uQd+/btG+fHJSsrS3v37i1QP9LT02nt2rWkqKhIAEhRUZHWrFlTbO7xIpGI7t+/T926deP9cFpaWtKpU6dK3LA1IyODbt++TePHj5fw56pcuTINGzaMLl68WCo/2snJyXTr1i1asGABNWvWjGfSKd709fVp/PjxdPLkSYqMjMz3tRMTE+n27du0cuVKsre3pypVqkgVLHXq1KEBAwbQ1q1b6cGDB5SWllaCT5w7GRkZFBISQidOnKD58+eTvb291CoBOQWylZUVjRkzhrZv304eHh707du339J3BoNRvmACrJxTnC/w0aNHnHHjuXPn8my7adMm7kdo27ZtvGPv3r0jfX19AkCqqqp069atAvUjMDCQi8IBoPbt29Pr168L/DzSyMrKoosXL1Lz5s256wsEAnJwcCAvL68SjbJkZmaSh4cHTZw4kTQ1NXk/5BoaGjR27Fi6fv16iZcoysjIIF9fX1q5ciW1adOG5OXlJYSFnp4ejRs3jlxcXAokuCIiIsjFxYWmTJmSq3u9kpIStW7dmubNm0cXLlz4bS7yCQkJ5OnpSdu2baPRo0eThYUFJ/h/3gQCAenp6VGvXr3I0dGRzp07V6ZLDTEYjLIPE2DlnOJ6gampqVzpnsGDB+fZ9tChQ9wP09q1a3nHnjx5wpVwqVWrFj179izffUhLS6PFixdzERhxuZPiEEXp6el07NgxXnkiBQUFGj9+PL18+bLI188NkUhEjx49ohkzZkhEUjQ0NGjcuHF069atAk/NFrQPYWFhtGPHDurRowepqqpKCAwdHR0aMWIEHTlyhD58+JCv62ZmZlJQUBDt2LGDBgwYQDo6OlLFi66uLg0aNIh27NhBfn5+JR5d/BmRSEQfP34kNzc3WrZsGTk4OFC9evVyjWpVrFiRrK2tadKkSbR7927y9vamxMTEUu0zg8H482ECrJxTXC9wyZIlBGQXFM4r7+nixYtcVGPevHm8Yx4eHtyPu5GRkdTSQ7kRGBhITZo04X4E+/XrV6QiymLS0tJo3759VLduXe7aqqqqtHDhwhKNvLx48YKWLl1K9evXl5heHDVqFN24caNEhcjXr1/p9OnTNHr0aF4xcvFWpUoV6tOnD+3evTvf9RNTU1Pp/v37tHr1aurUqZNUIScrK0sWFhY0Y8YMOn36NH38+LHEnlEamZmZ9OLFCzp58iTNnj2b7OzspJZgEm+1atWinj17kqOjI509e5bCw8NZVIvBYJQKTICVc4rjBQYHB1OFChV+OfXo7e3NTdH8XD/Ozc2NO9a6det8J4xnZGTQqlWruPtramr+cvozP6SmptLOnTt5URlNTU1ycnKi+Pj4Il9fGjExMbRt2zauaLl4U1ZWpoEDB9KlS5dKLLcpIyODvL29acmSJWRhYSGR2C4vL092dnbk5OREfn5+lJmZ+ctrJiYm0s2bN2nRokVkbW0tdaqyUqVK1KlTJ1q1ahXduXOHkpKSSuT5pCEUCunJkyd0+PBhmjJlCjVv3pyUlZWlCi1ZWVlq0qQJDR8+nLZu3Up37tz5rYXRGQwGgwmwck5RX2BWVhaXD+Xg4JBruxcvXpC6ujoBoG7duvGmzE6dOsVNG/bo0SPfieOvX7/m5WL16dOHvnz5UqjnEJOWlkY7d+6kmjVrctetUaMGbd26lZKTk4t0bWmkpqaSq6srdenShZe8LisrS126dCEXF5cSEyWfPn2iQ4cOUd++fUlNTU1CdDRp0oRmzZpFN27cyNezx8XF0ZUrV2ju3LlkaWkpNRlfS0uL+vbtSzt27KDAwMASnTrNSWpqKvn7+9P+/ftpwoQJZG5uTnJyclLFlpKSEjVv3pwmT55Mhw4dIn9//99aaJzBYDCkwQRYOaeoL3D//v1cJCO36aLY2FhuKq1Zs2a8H/MjR45wU5JDhgzJ1w+ySCSiI0eOUMWKFbkpwWPHjhUp1ys9PZ327dvHm27T0dGhXbt2FfuPr0gkogcPHtCECRMkhI+VlRXt2LGjWKZPfyYjI4O8vLxo4cKF1LRpUwnhoa6uTgMGDKDDhw/nK3FebDcxZ84cMjc3l5owX6dOHRo+fDgdOnSIwsPDS8UKQigUkp+fX77ElpqaGtna2tKsWbPIxcWFwsLC8hXdYzAYjN8NE2DlnKK8wK9fv3K2AFu2bJHaJi0tjbOTqFu3Lk9YHDp0iJvqGjduXL5yZxISEmjw4MHcD6iNjU2BfKR+Jisri1xcXHi5VjVq1KCdO3cW+3RfVFQUbdiwgQwMDHgioHbt2rRo0SJ68eJFsd6PKNvO48SJEzRo0CAJCweBQEBWVlbk6OhIDx48+KXwSE5Opps3b9KCBQvIyspKaoRLT0+PxowZQ8ePH893Mn5RyMzMpODgYG4a0crKSupUJ5C9aKF9+/Y0b948OnPmDL19+/a3eoMxGAxGUWACrJxTlBc4ceJEAkDGxsZSI1cikYhGjx7NRalCQ0O5Y4cPH+bE15QpU/L1QxgYGEh6enrcFN3q1asLHa0QiUR09epVMjY25uV4bd26tVgjXhkZGXT58mXq2bMnT7AoKSnRsGHDyN3dvViTtsUrFtevX082NjYSUSl1dXUaNGgQHT9+/JfTtenp6eTl5UXLly8nW1vbXO0mxowZQydOnCiQ3URhn+3du3d06tQpmjVrFrVu3ZqLgkqL5uUUW+/evWNii8Fg/FEwAVbOKewLfPLkCSegPDw8pLbZvn07ASAZGRm6ceMGt//EiRPcudOmTfvlD6NIJKK9e/dyzuG1a9cmHx+fAvU3J35+ftSmTRvux1pVVZVWr15NP378KPQ1fyYiIoIcHR15uWQAqHnz5rR///5i/QeTmZlJ9+/fp9mzZ1ODBg2k5nItWLCAvLy88pziFYlEFBoaSlu3bqWuXbtSpUqVJK5Vq1Ytzm4iIiKi2J5BGnFxcXTjxg1avnw5de3alapVqyZVbFWsWJHatGlDs2fPppMnT/5213sGg8EoDZgAK+cU5gWKRCKys7MjANS/f3+pbTw8PLiIz+bNm7n958+f5/ZPmjTplz+UycnJNGzYMO7Htnv37oV2Cn///j0NGjSIu5aCggLNmTOn2FazZWZm0pUrV6hbt268yJOGhgbNnDmTQkJCiuU+REQpKSnk5uZGo0aNkrBJkJOTo44dO9K///5L7969y/M6MTExdOLECRo+fLhUx3YNDQ3q168f7dmzp0RzuDIyMigwMJB27dpFQ4cO5Yx4f94qVKhAlpaWNGXKFDp8+DA9e/aM5WwxGIy/EibAyjmFeYFXrlzhBMzbt28ljkdGRnLRisGDB3M/2rdu3eKmsUaOHPnLqbc3b95wU4SysrK0fv36QgmAxMREWrhwIRdBEwgENHz48GKL4Hz58oXWrl1Lurq6PLHQtm1bOnXqVLHlkiUkJNDJkyepT58+pKKiwrtX5cqVaejQoXT27Nk836VQKKR79+7R/PnzedUCxJuioiJ17NiRNm7cSIGBgSXmaRUdHU0XL16kefPmUatWrUhJSUmq4Kpfvz4NHTqUtm/fTr6+vmw1IoPBYPw/TICVcwr6AjMyMjg3+Llz50o93qpVKwKyzVTFFgqPHj3iREPfvn1/GbW4desWlzRerVq1XKc58yIrK4ucnZ05Z32xKAoICCjwtaTx6NEjGjp0KC83qkqVKjRr1qxic8f/9u0bOTs7U9euXSVysGrVqkXTpk2jO3fu5GnK+v79e9q7dy/17NlTas5U06ZNad68eeTu7l4iAicjI4OCgoJo9+7dNGTIEAmhmnMquGPHjrRs2TK6du0axcbGFntfGAwG40+BCbByTkFfoLOzM5fkLM0sVVyMW1VVlcLDw4mI6OXLl6ShoUEAqEOHDnlGhEQiEW3bto2bwrOysiqQI74YPz8/atasGS9Z/OLFi0WeQhMKheTi4kJWVlY88WBpaUnOzs7FUvz669evdPDgQerUqRNnMCve9PX1aeHCheTv75/rswiFQrp79y7NmTOHGjVqJCF0qlWrRkOGDKHjx49TdHR0kfv7MwkJCXTr1i1asWIFtW/fXiJaJ45CGhoa0tixY8nZ2ZmeP3/OHOQZDAajADABVs4pyAtMS0uj2rVrEwDasGGDxPFbt25xP7BnzpwhouwcI3HdPAsLizwT3dPT02n8+PHcNUaMGFHgiMy3b99owoQJXJJ/xYoVaf369UWeBvz69SutWbOGlyclLy9Pw4cPp8ePHxfp2kTZnlrOzs7UuXNnCdFlZGREy5cv560i/ZmYmBhydnamvn37SpT4kZWVJWtra1q9ejUFBAQUu9D5/PkznT59mv75559c/cAqVapE7du3p2XLltGtW7dK5QuDwWAw/mSYAJNCREQEDR8+nKpXr05ycnKko6NDU6ZM+WXyuK2trdSpmZybOKl62bJlebY7depUvvpakBe4a9cuArJ9sn6O9Hz58oWb6ps4cSIRZSeKi53q69Wrl6e5aHx8PLVv356LjmzatKlA0SqxOWvOhPShQ4fS58+f830NaYSHh9OkSZN4OUrVq1enlStXFtksNTk5mVxdXcnBwUFietHY2JhWrVqV61SmSCSi4OBgWrNmDbVo0UKidFC1atVo+PDh5OrqSt+/fy9SP3++7+vXr+ngwYM0atQoqasugWwD1sGDB9POnTvp6dOnLLrFYDAYxUxpCrAKKAfExsaiRYsWICI4OTmhYcOGePr0KRYtWgRvb288fvwY8vLyUs/dt28ffvz4IfXYsGHDkJmZCW1tbd5+Nzc3iX0AUL9+/aI/TA7S0tKwZs0aAMDChQuhpKTEHSMijB8/HtHR0WjcuDG2bNkCIsKoUaPw8OFDVKlSBdeuXUO1atWkXvvjx4/o0qULQkJCoKKiglOnTqF79+757lt4eDgmTJgADw8PAIChoSF2796N1q1bF/p5Hz16hA0bNuDChQsgIgCAqakpZs6ciQEDBuT6Dn9FZmYm3N3d4eLigosXLyIpKYk71rhxYwwYMAADBgyAvr6+1HO9vLxw6dIluLm54d27d7zjZmZm6Nq1K7p27QpLS0vIyMgUqo85ISK8fPkS9+7dw/379+Hl5YXIyEheG4FAABMTE1hbW8Pa2ho2NjaoWbNmke/NYDAYjDJCiUu8YmD69OkEgLy8vHj7XVxcCAD9+++/Bb7mgQMHCADdvXuX2yeOgP3KZuBX5FdB7969m0v8/nk67/DhwwRk2x8EBQUREdGKFSsIyLYNuHfvXq7XffbsGeeVpa2tXaAE+fT0dFq7di23ulFJSYnWrVuXZ0J6XohEIrp+/bpEJLJLly509+7dQuePiUQi8vf3p3/++Ye0tLQkIkWLFi2i4OBgqecmJyfThQsXaNiwYVwtTfGmqKhI3bp1o7179xYqTy63vr548YJ2795N/fr1k+iv+D23atWKFixYQFeuXCmx4uQMBoPByB02BfkTWlpa1LBhQ4n96enppKKiQtbW1gW6XmRkJKmpqdGYMWN4+0tTgAmFQm7l2o4dO3jHPnz4wOUcrVu3joiILl26xP1YHzhwINfrent7U+XKlQkANWrUqEC2EEFBQTwbhY4dO0q1xMgPWVlZdPbsWTI1NeWJjJEjRxbJuysyMpLWrVvHrRoVb1WrVqUpU6aQj4+PVFEXHx9PLi4u1KtXLwl7Bg0NDRo5ciSdP3++WIp0i6cU9+/fT/379+etGBVvCgoK1KZNG1q+fDnduXOnRIqSMxgMBqNgMAGWg0+fPhEA6tevn9TjFhYWpKSkVKB8mOHDh1OlSpUkzEJLU4AdP36cAJCWlhYv90skElGnTp0IALVo0YIyMzMpLCyMc1CfMmVKrte8fv06Jy5atmyZb3NVoVBIy5Yt4xLV1dXVC12IOzMzk1xcXHgrBVVUVGjmzJm5Fhb/FampqeTq6kqdOnXiJaMrKChQ//796cqVK1IjdGK7CXt7e4nC0bq6ujRjxgzy8PDIV7HyXxEVFUUuLi40atQoXvHxnwXXqlWryNPTk3lvMRgMRhmECbAc+Pv75yk8unTpQgDyLTZCQkJIRkaGli5dKnFMLMDmz59PhoaGJC8vT5UqVaJ27drRrVu38t3nX73ArKwsatKkCQGgNWvW8I4dPXqU+8F+8eIFJSUlcdEeGxubXKcC//vvP05k2Nvb5zuiEhISwotS9e7du1A2CpmZmXT8+HFq2LAhdy01NTVaunRpoV3xg4KCaOrUqRIFr62trenAgQNSp+m+fftGhw8flrry0cDAgJYsWUKBgYFFts5ISEigK1eu0IwZMySiceJon7W1NTk6OjLBxWAwGOUEJsBycP/+fQJAM2fOlHq8V69eBCDf0RUHBweqXLmyVL8tsQDr3LkznT9/nnx9fWn//v1Uu3ZtEggEnA3Ez6SlpVFCQgK3ffz4Mc8XeP36dQKybQRy9uPLly9cTtLatWtJJBJxJYO0tbVzFUYnT57kShENGDCAhELhL8chKyuLtm7dyuV6qaur06lTpwosTLKyssjV1ZVX5kZdXZ1Wr15dqDymhIQE2rdvH5mbm/MEjY6ODi1evJhevXolcU5iYiIdP36cunXrJhHpMjIyopUrV9Lz588L3JecZGZm0sOHD2n16tXUunVrCXEnEAjI1NSU5syZQzdv3iyWqUwGg8FglC5MgOUgvxGw/NgCvHnzhgQCAU2fPl3q8R8/fkgVOW/fviVlZWWqXbu21PNys6/I7QV27NiRANCMGTN4+0eOHElAtl1Ceno6HTp0iIBszylPT0+p1zpx4gQ3LTdy5Mh81fD7/Pkz1wdxxKyg1hIikYjc3Ny4skZi4bVmzRpKTEws0LWIst/zuHHjeAajcnJy1K9fP7px44bEc6WlpdH58+epf//+pKioKFV0vXjxosD9yMnnz5/p0KFDNHDgQM70NudWr149GjduHJ05c6bQtTQZDAaDUXZgAiwHUVFRBID69Okj9biJiQmpqKjkKwdMLJQePXpU4H60bduWAEgVaAWJgIWGhhIAkpGR4SW4e3l5cZEUX19fevHiBSkrK3PRMGmcOnWKE19jx47N1xhcu3aNNDU1Cche4bh79+4CR73u379PLVu25ISIqqoqrVixosAf2JSUFDp8+DBZWlpKTBVu2rSJvnz5wmuflZVFHh4eNHbsWG6hgXhr2LAhLV26NE9j1V+RkZFBnp6eudZ0VFNTo169etGuXbvo9evXhb4Pg8FgMMomTID9hI6ODtWrV09if0pKCikoKFDbtm3zdR1TU1PS0NDIU6jk5u4uLpOTn5eS1wucOnUqASAHBwduX0ZGBjVt2pQA0Lhx40goFJKZmRkBoHbt2knt74ULF7hpx/yIr/T0dJo3bx4nJoyNjQs8LRcaGkrdu3fnrqGkpETz588vcPTn7du3NGfOHJ4FhLy8PA0aNIju3bsnIQhfvnxJixYtkqh3WLNmTZo9e3aeJYR+xZcvXzi3+59FnUAgIEtLS1qyZAndv3+/0FYcDAaDwSgfMAH2EwsWLCCA79lFRLRnzx4CQM7Ozr+8RlJSEsnIyFCHDh2kHs/IyKDatWuTnp6ehAgLDQ0leXl5srKyyld/c3uBCQkJXOHm27dvc/vFfmBVqlSh2NhYrvajhoYGRUZGSlz/1q1bnMv78OHDfym+IiMjuWLe4uncgiSFx8TE0IQJE7hom6ysLE2YMKFA05YikYju3LlDPXr04DnM16lTh9atWyfhgB8XF0d79uzhXP9zRtvGjBlDd+7cydd0q7R+PH36lFauXElWVlYSbvfq6upcTceiuvIzGAwGo3zBBNhPxMfHU/369UlLS4sOHz5MPj4+tGXLFlJWViZbW1tOgBw9epRkZWVp165dEtcICAggADR58uRc77N3715uld2ZM2fo/v37tGvXLtLW1iYlJSXy9fXNV39ze4H79+/nptjEEZu4uDiu1M+OHTvowYMHnND577//JK798OFDbmqyb9++v7RQ8PDwoGrVqnHi5dy5c/l6BqLsaOC6des4CwwA1KtXrwLlVqWmptKhQ4fIyMiIJ3Q6dOhAbm5uPBGVlZVF7u7uNGjQIG5xgFjwdenShU6fPl2owtxCoZBu3bpFkydPlmoRYWpqSo6OjuTr61soUcdgMBiMPwMmwKQQFRVFY8aM4WpB1q1blxYsWMCzW3B2diZAujP+7du3CQAtXLgwz/tcu3aN2rVrR6qqqlShQgXS1tamQYMGFSi3SNoLFIlE3LRizqLb8+fPJyDbNDUxMZFbTTh06FCJ67548YJLBu/YsWOeqx1FIhFt376dm6Y0NjaWuoIwt3Pd3Nyofv36nEixsLCg+/fv53sMYmNjadWqVZz4A0DKyso0efJkCgsL47X99OkTrVq1iurUqcMTRoaGhrRp0yaKiorK933FxMfHk6urKw0YMIAnIMVTp926daMDBw4Um9s9g8FgMMo/TICVc6S9wMDAQAKy/b1iY2OJKNvxXhzpcXNz46YetbW1JfKqoqOjOYFiZWVFP378yPX+aWlp3IpKADRkyJB8+4K9evWK7O3tuXO1tbXp6NGj+Ta6ffv2LU2bNo3nNq+jo0MbNmzgrVTNzMykq1evUo8ePXjmqqqqqjRx4kTy8/MrcF5XdHQ0HThwQKrxqpaWFo0dO5auXLlSqCgag8FgMP58mAAr50h7gTNnziSA7+g/btw4AkC2trYUFBTERavOnz/Pu15ycjK3CKB+/foSqwNzEhMTw61QlJGRoc2bN+dLyKSmptKyZcs4QSgnJ0fz58/Pt6VEcHAwDR48mHsGAGRmZkYuLi685PXo6Ghau3atREK9jY0NHT16tMAleSIjI2nnzp3Utm1bnpADQPr6+jRv3jx6+PBhgSolMBgMBuPvhAmwcs7PL1AoFHJTh25ubkREFB4ezgkGLy8vLtm8d+/evGtlZWVRv379uATx8PDwXO/7/PlzLkqmpqZGN2/ezFd/79y5Q3p6erz8rJcvX+br3MePH1OPHj14wqdjx450+/ZtTviJRCLy9vamwYMH8yJT6urqNGPGjAKvxvz8+TNt376dWrduLZFEb25uTqtWrSqy8SqDwWAw/j6YACvn/PwCL1++zE3niZO8xQ73Xbt2pX379hGQ7Yz/c07SihUruIhUbmasRNnJ9mIbhfr16+crUf7bt2+8qUptbW06ffp0viJmDx48oM6dO/MsG/r160cBAQFcm7S0NHJ2dpZwtW/evDkdOXKkQFOBsbGxtGvXLrK1tZUQXS1btqSNGzcWunA4g8FgMBhETICVe35+gUOGDCEANG3aNCLK9rUSR7/c3d256NjWrVt517l06RInMg4ePJjr/c6cOcPZUrRs2ZLLMcuLc+fOkZaWFieeJk+enK/SQY8ePeIJL1lZWRo+fDgvsT4mJoaWLVvGS8BXUFCg0aNHk7+//y/vIebHjx907Ngx6tSpE29qE8guVL5161aKiIjI9/UYDAaDwcgLJsDKOTlf4I8fP7iEdLED/+jRowkAdevWjaZNm8at+MtpKfHy5UtSVVUlADR16tRc77V7924uItS7d+9fRpW+fv1KAwYM4IRMo0aNyMfH55fP9PTpU54Jq6ysLI0ePZrnCB8WFkZjxozhWUjUrFmTnJyc8iUKibINY69cuUL9+/fnJfKL7SI2bdpE79+/z9e1GAwGg8EoCEyAlXNyvsAzZ84QANLT0yORSEQfPnzgCjmfOnWKi+y4u7tz5ycnJ3O+Wa1atcrVgX3t2rWcOJk4ceIvPayuXLlC1atX5wTUokWLcnX+F/P69WsaOHAgdx8ZGRkaMWIET3h5e3tTt27deGLJysqKXF1d8+UeLxKJKCAggP755x/OE0286enp0fLly4tc15HBYDAYjF/BBFg5J+cLFEeb5syZQ0REs2fPJgDUtm1bLnm9R48evPPHjBlDAKhatWpS3eZFIhEtXryYEylLlizJM28rKSmJJkyYwIt6+fn55fkMX758oalTp3JiEQD179+fE0IikYiuXr1K1tbWvDywnj17ko+PT77yyKKjo2nLli1kaGjIE12ampo0ffr0IpUYYjAYDAajoDABVs4Rv8DPnz9z02h+fn4UHx/PlSLasGEDF4nKmT916tQpTszkjIqJEYlENHfuXE6s5DR1lUZQUBBn7gqAZs6cmWcZopSUFHJycuKZl3bq1ImCgoKIKHtV5tmzZ7naleL8rnHjxuVr5WRGRga5ublRr169eHldioqK1K9fP7p69eov3f0ZDAaDwSgJmAAr54hfoFhM1alTh0QiEW3dupXL9xJHjsaPH8+d9/79ey7va8mSJRLXFYlEvILaO3bsyLUPIpGI/v33Xy45v0aNGlIFXc72p0+fptq1a3PXNzMzozt37hBRtnHqqVOnqHHjxtzxihUr0pw5c/JVE/Lt27e0ZMkSqlmzJi/a1axZM9q9ezfFxcX98hoMBoPBYJQkTICVc8QvUJxsP2nSJMrMzKS6detyqyHFUR+x7URWVha1adOGs2mQFgVaunQpJ1x27tyZ5/379u3Lte3evXueSfBBQUHUunVrrr2Ojg4dO3aMsrKyKCsri86cOcMTXmpqarR06VIJt/6fyczMpAsXLpC9vT3POqJq1ao0a9YsevbsWT5HlMFgMBiMkocJsHKO+AWKE8pv3LhBV65cIQBUpUoVsrCw4KYDxYijYyoqKlJrNoqnLAHQtm3bcr13cHAwNWjQgIBs77CtW7fmmkcVFxdHU6dO5SwxlJSUaPny5ZScnEwikYguX77Mm2qsXLkyrVix4pd2FTExMbRy5UqJwtft27cnV1fXXyb+MxgMBoPxO2ACrJwjfoHiaFF6ejq3SrBXr16c2BEXmQ4PDydFRUUCQHv27JG43sGDB7nrOTk55XpfV1dXUlZWJgBUq1YtevjwodR2IpGIjh8/zvPp6t+/P+ep5e3tTa1ateKOVapUiZYtW/bLacLHjx9LuN1raGjQ/Pnz83TwZzAYDAajLMAEWDknpwBzcHCgiIgIbgrO0tKSAND06dOJKFsMiace27VrJxGtcnNz4yJU8+bNk3q/rKwsWrBgAXfPDh065Drl+Pr1a2rfvj3XVl9fn8sNe/nyJfXs2ZOXGD9v3jz6+vVrrs+anp5Orq6uXK3KnLldJ06cyDPhn8FgMBiMsgQTYOWcnAJsx44dtHr1ai6pXTw1+PHjRyIiOnToEAEgZWVliVI6jx8/5lZRjhw5UupU4o8fP3i1GOfOnSvVDywjI4M2btzIXU9RUZFWr15NQqGQvn79SlOnTuVWJcrKytK4ceMkyiLlJC4ujjZu3Eg6OjrcveXl5WnYsGEFcrtnMBgMBqOswARYOSenAHv37h2XfC/O/Ro5ciQRZbvSq6urEwDauHEj7xoRERGcaWrnzp2lGppGRkaSqakpZwVx4sQJqf0JDQ3lIm8AyM7Ojl69ekXp6em0fft2roYkkO3On1ch648fP9LcuXN5NhXVqlWjZcuWUUxMTBFGjcFgMBiM3wsTYOUc8QvU09Oj+/fvc5YN4mlI8eq/8ePHEwAyMjLiCawfP35wye/GxsaUmJgocY+QkBAuyV1TU5N8fX0l2mRmZtKmTZu40kBqamp06NAhEolEdOfOHd7KRmNjY85yQhovXrygMWPG8PK7GjduTAcPHmRJ9QwGg8H4I2ACrJwjfoHDhw+niRMnct5f4vwsIqLAwEBOkN2/f587VyQScRYS1apVk1ps2svLi4ta6evrS0xdEhG9e/eOZy1hb29Pnz59osjISBo0aBDPEmLv3r25ljF6+vQpDRw4kMtDA0CtW7emy5cvM5d6BoPBYPxRMAFWzhG/wOjoaE4oqaioEAByc3MjkUhEtra2BIAGDRrEO3fdunVcnpi3t7fEta9cucKtmGzZsqVUL65Tp05xhq4qKiq0f/9+yszMpJ07d3L7ZWRkaMqUKfT9+3epz/D06VPq06cPL7G+e/fuUvvEYDAYDMafABNg5RzxCzx79iznnwWA6tatS1lZWXTx4kUuEf7Dhw/ceXfv3uUiTXv37pW47unTp7najF27dqXk5GTe8eTkZK6OJABq0aIFvXnzhkJDQ6lFixbcfisrKwoICJDa99DQUJ6Jq9iiQlyKiMFgMBiMPxUmwMo54hc4ZMgQAkBaWloEgNauXUsZGRlkYGBAAGjhwoXcOTExMVzS/YgRIySm906cOMGJs8GDB0sk5YeFhXHTnAKBgJYsWUIpKSm0cuVKLm+rYsWKtHPnTqnTje/evaOhQ4dy06ICgYD69+9PISEhJTNIDAaDwWCUMZgAK+eIX6B4ug8AVahQgaKjo8nZ2ZkAkLq6Oucon5WVRZ06deJyxX6ObOUUX6NHj5YQUGfOnOGKfGtpadGdO3coJCSEs70Qr24UW1/k5MuXLzRt2jRecr2DgwMrE8RgMBiMvw4mwMo5OW0oxM70PXv2JKFQSHXq1CEAtGHDBq69uAyRoqIihYaG8q515swZTnyNHz+esrKyuGOZmZk0d+5c7l5t2rShyMhI2rx5M7fysUqVKuTi4iIRUUtOTiYnJyeenUT79u2ZhxeDwWAw/lqYACvn5BRg4oT5CxcucCWFtLS0uChXSEgIJ5Z2797Nu87Vq1e5nK/Ro0fzxFdcXBwXNRMbsL5//57s7Oy4fV26dKHPnz/zrikSicjV1ZVXp9HMzIxzw2cwGAwG42+FCbByTk4BBmTXQ0xJSaH69esTANq8eTMRZbvTi81Z7e3teVEqb29vzrV+0KBBvGnH169fc3lkSkpK5OrqSlevXiUNDQ0u6rZ3716JqFdgYCDZ2Nhw/apduzYdP36cJ+wYDAaDwfhbYQKsnCN+geKpwwkTJtCpU6c4MZaUlEREROvXr+dWSUZGRnLnh4aGUpUqVbjVjjkT7h88eEBVq1YlAKSjo0OPHz+m+fPnc6LK1NSUXr58yetPfHw8TZ06leuPkpISrVixQiLXjMFgMBiMvxkmwMo54hcorq147949LiF+xYoVRJQdxRJPTzo7O3PnRkdHk66uLmcjkVMkXbp0iTvHzMyMnjx5wvmJAaBp06bxXOlFIhGdOHGCqlWrxrUZOHAgz/qCwWAwGAxGNkyAlXNyTkHWqFGD7ty5w0Wevn79SiKRiMvfateuHTdVmJqaSs2bNycgu4xRbGwsd83Dhw9zEawuXbrQ3bt3qUaNGgSAKlWqRGfOnOH14f3799S5c2euH/r6+izPi8FgMBiMPChNAVYBjBKlZ8+e2LlzJwBg+PDh0NDQwH///YebN29CXl4ee/bsgUAgABFh3LhxePjwIapUqYKrV6+iatWqAIBt27Zh5syZAIBRo0ahVatW6Ny5M9LT09GoUSNcuHAB+vr6AACRSIRdu3Zh4cKFSE5Ohry8PBwdHTF37lzIy8v/nkFgMBgMBoPBgwmwEqZVq1YYNmwYAOCff/5BamoqZs+eDQCYN28eGjRoAADYvn07Tpw4AVlZWZw7dw4NGzYEAKxbtw4LFy4EAMyePRuysrIYM2YMAMDBwQHHjh1DpUqVAADv37/HiBEjcP/+fe7eBw8e5MQZg8FgMBiMsoHM7+7An4yamhpCQkIgEolgZ2eHRo0aYcuWLYiIiICOjg4nrLy9vTF37lwAwObNm2FnZweAL76WLFmCiIgIbNiwgfv///77D5UqVQIR4ciRIzA2Nsb9+/ehoqKCXbt2wdPTk4kvBoPBYDDKIiU+yfkXIp5D7tmzJ2lraxMAOn36NMXExHDGpy4uLkSU7URfs2ZNLkFenA+2efNmLn9r8eLFnH2EnJwcHT9+nLvXt2/feLUbW7VqRW/evPktz81gMBgMRnmGJeGXc8Qv8MiRIwSANDU1SSgU0vTp0wkAmZubU1ZWFolEIurWrRuXJP/jxw8iItq3bx/PYNXY2JgAkJqaGt29e5e7j7e3N+no6HCljpycnKTWeWQwGAwGg/FrSlOAlZspyA8fPmDEiBHQ1taGvLw8atWqhalTp+L79+95nnfkyBEIBIJct3Xr1vHaf//+HVOnToWuri7k5eVRvXp1DB8+HB8+fChwny9cuAAAGDJkCGJiYrB3714A2VOLMjIy2LNnD65cuQIFBQWcOXMGFStWxLlz5zBx4kQAwKRJk3Dx4kUEBwejevXquH//Ptq2bQsiwpYtW2Bra4tPnz6hQYMGePjwIRYsWABZWdkC95PBYDAYDEbpUi6S8GNjY9GiRQsQEZycnNCwYUM8ffoUixYtgre3Nx4/fvzLFX579+6Fubm5xH4dHR3uv9PS0tCmTRtERERg9erVMDc3x5s3b7Bo0SJYW1vjyZMn0NDQyHe/r127BgAYOXIk1qxZg/T0dNja2qJdu3YIDw/HnDlzAADr16+HsbExPD09MWTIEBARBg8ejOvXr+P9+/fQ1dXFnTt3UL9+fSQlJWHUqFE4d+4cAGDQoEHYt28fl4jPYDAYDAajHFDiMbZiQDx15+Xlxdvv4uJCAOjff//N9VxnZ2fODPVXbNmyhQDQiRMnePt9fHwIAM2ePTtf/c3pA9akSRP69OkTycvLEwDy9PSkrKwssra2JgBkZ2dHWVlZ9PLlS8793t7enivaXb9+fc449fXr12RoaMjlgu3cuVOi3BCDwWAwGIzCwaYgf+L06dNo2LAhWrVqxdvfr18/qKiowNXVtVju4+rqChUVFfTv35+3v2XLlmjYsGGh7jNw4EBs3rwZ6enpsLGxQevWrbFr1y74+PigYsWKcHZ2RkJCArp37464uDiYmZkhPDwc79+/R/369eHh4YFatWrB09MTVlZWCA0NRfXq1eHh4YEpU6ZAIBAUy7MzGAwGg8EoPcq8AIuMjERMTAyaNm0qcUxOTg6NGjVCYGAgRCJRke6TlZWFp0+fonHjxpCTk5M4bmxsjMjISERFRRXouvb29jhw4AAAYNGiRYiMjMTixYsBZE891qxZE4MGDUJ4eDhq1qyJ1NRUvHnzBrq6urh37x50dHRw7NgxdOjQAd+/f4elpSX8/f3RsmXLIj0vg8FgMBiM30eZF2DR0dEAgGrVqkk9Xq1aNaSmpiI+Pj7P65w7dw5WVlZQUlKCiooKWrZsidOnT3PH4+PjIRQK87wPgAIJMENDQ7i7uyMpKQlNmjRBp06dMHPmTPz48QPNmjXDxIkT4ejoiJs3b0JJSQmampoICwtD9erVcefOHdSqVQtr1qzBiBEjkJGRgf79+8PT0xM1a9bMdx8YDAaDwWCUPcp8En5KSgoA5Jpkr6CgwLVTV1fP9Tr+/v6YOXMm6tati9evX2PdunUYOHAgPn78iDlz5hToPj8jFAohFAq5/09ISAAAzJ07FykpKahTpw4mTZqEhIQE6OjoQFFREZs3b0ZSUhJUVFQgKyuLzZs3w83NDaqqqjh//jw0NTWRmJiItLQ0AMDMmTPh6OiIjIwMZGRk5DlmDAaDwWAwCk5iYiIAgIhK/mYlnmVWRPz9/QkATZkyRerxLl26EAD6/v271OMpKSkUFRUl4Y8VFxdH2trapKSkRD9+/KCvX78SAOratavU60yePJkAUGBgoMSxZcuWcUn3bGMb29jGNraxrXxvpWFoXuYjYOLpNvFU5M98/vwZKioqUFNTk3pcSUkJSkpKEvsrV66Mzp07w9nZGaGhobC0tISSklKe98nZn5wsXLgQs2bN4v5fJBLh+/fv0NDQ+GuT5BMTE1GrVi18/PgRqqqqv7s7ZQ42PnnDxidv2PjkDRufvGHjkzsJCQmoXbt2njNqxUWZF2DVq1eHjo4OgoKCJI6lpqYiLCwMLVu2hIxM7ulsQqGQm0LMSXJyMoBskSYjIwNzc3MEBARIbR8QEIC6detKzRFTUFCQaF+5cuX8PN4fj6qqKvsHngdsfPKGjU/esPHJGzY+ecPGJ3fy0hTFdo8Sv0MxMHToULx9+xb37t3j7T969CiEQiGGDx+e67nW1tbQ0tKScMz/8uUL3N3doa2tDUNDQ+4+qampOHnyJK/tjRs38PHjxzzvw2AwGAwGg5FfyoUAW7BgAerXr49BgwbB2dkZvr6+2Lp1K2bPng1bW1tOGB07dgwVKlTA7t27uXMXLVqE5ORk2Nra4vjx4/D29sbRo0dhY2ODhIQE/Pvvv1z5njFjxqB58+b4559/sGPHDvj6+uLQoUMYNmwYDAwMMHfu3N/y/AwGg8FgMP4syvwUJACoqanB29sbS5YswaJFi/Dt2zfo6Ohg+vTpWLp0KRcqFIlEyMrK4nmCde3aFffv38e6deswY8YMJCQkoEqVKmjZsiWOHDmCFi1acG0rVKiAmzdvYvny5di8eTOioqJQrVo19OvXDytXroSKikqpP3t5RUFBAcuWLZM69ctg4/Mr2PjkDRufvGHjkzdsfHKnNMdGQFQaay0ZDAaDwWAwGGLKxRQkg8FgMBgMxp8EE2AMBoPBYDAYpQwTYAwGg8FgMBilDBNgjHyRkJCA4cOHQyAQoG/fvlLbhISEoHfv3qhatSrk5eWhp6eHxYsXc+WUcuLt7Y1OnTqhcuXKUFBQQOPGjbFp06YiF1X/Hbx9+xYjR45E9erVoaCggPr162PgwIEIDw+XaPs3jtGzZ88wePBg1K5dGwoKCqhRowaGDRuGV69e8dr9jWMjjYEDB0IgEGD58uW8/R8+fMCIESOgra0NeXl51KpVC1OnTpWw2AEKNpZlmZEjR0IgEOS6PXz4kGv7t35+jh8/DktLSygrK0NDQwM9e/ZEcHCwRLu/bXzy+twIBALUqVOH1/63jE+Je+0zyj23b98mHR0dqlmzJgGgPn36SLR5/vw5VapUiQwMDOj06dPk4+ND69atIwUFBbK3t+e1vXfvHsnJyVHz5s3p0qVL5OXlRfPnzyeBQEATJ04srccqFkJDQ0lNTY1q165N+/btI09PT9q2bRtVqVKF1NXV6cOHD1zbv3GMHj16RBUrViQDAwM6fvw4eXp60tatW0lNTY2qVKlC79+/J6K/c2ykcfLkSa4UyrJly7j9X758oRo1apC2tjY5OzuTj48P7d69mypXrkxNmzYloVDItS3IWJZ1RowYQQDIz89P6paUlEREf+/nx9HRkQDQ6NGjycPDg06ePEm6urqkqqpKz58/59r9jeOT22fmxo0bpKioSMOGDePa/q7xYQKMkSdRUVEkEAhowoQJFBoamqsA69GjB8nJydHbt295+9esWUMA6PLly9w+Y2Nj0tDQoPj4eF7bcePGEQAKDg4umYcpARwcHEggEFBYWBhv/7FjxwgALV68mNv3N45Ry5YtSVFRkSIjI3n7Dx48SABo4cKFRPR3js3PfPr0iapUqUK9evWSEGDTp08nAOTl5cU7x8XFhQDQv//+y+0ryFiWdcQC7Ff8jZ+fkJAQkpWVpREjRvD2P3z4kOrXr0/79+/n9v2N45MbQ4YMoapVq1JsbCy373eNDxNgjDz5+vUrXbhwgYiI3r17J1WAJSYmUoUKFahjx44S53/+/JkA0JAhQ4go+y8NADR+/HiJtr6+vhKipaxz/fp1OnXqlMR+8XMOHjyYiP7eMTp8+DA5OztL7Bc/49ChQ//ascmJSCSijh07kq6uLgUHB0sIMC0tLWrYsKHEeenp6aSiokLW1tZEVLDPWXkgPwLsb/38zJo1iwDwIl3S+FvHRxpXr14lAHT8+HFu3+8cn3JhxMr4fWhoaMDBwSHPNsHBwcjMzETTpk0ljmlra6Nq1arw8/MDAAQGBgKA1LbGxsYAwLUtD3Tu3Fnq/tDQUABAvXr1APy9YzRq1Cip+8X5ccbGxn/t2ORk9+7duH37Ntzd3VGpUiXescjISMTExKB169YS58nJyaFRo0YIDAyESCQq0Fj+Kfytn5/79+9DU1MTjRo1yrPd3zo+P5ORkYHp06ejZcuWGDp0KLf/d44PS8JnFJno6GgAkFqoXLw/Kirql21VVFSgrKzMtS2vxMbGYs6cOVBVVcW0adMAsDES8+PHD/z3338YO3YsLCwsMHHixL9+bMLDwzFv3jxMmTIFdnZ2EsfzMz6pqamIj48v0FiWJ1auXAk9PT3Iy8tDXV0dPXv2hL+/P4C/99/WmzdvULt2bTx48ADt2rWDqqoqlJWVYWtrCx8fH67d3zo+P3Po0CG8efMGq1at4u3/nePDBBijyKSkpAAA5OXlpR5XUFDg2hSkbXnk8+fP6NSpEyIjI+Hq6sr9Q2VjlL0qSVVVFQMGDED//v1x584dVKpU6a8em6ysLAwfPhza2tpYv3691Db5eWZxuz9tfMS8ePECO3bswL179+Do6AgfHx9YW1vDx8fnr/38/PjxA1FRURg6dCj69++PmzdvYu/evfj06RNsbGxw6dIlAOy7BwBSU1OxatUqtGnTRuKPnN85PmwKklFklJWVAQDp6elSjwuFQq6OZkHaljcCAwPRo0cPJCQk4PLly7zpSTZGQFBQEFJSUhAYGIjNmzfj5s2buHjx4l89NmvXroWfnx88PT25Z/uZ/Dwz8L+/wH/VtjyNz/bt27Fx40Zoampy+6ytrdGiRQs0b94cCxcuxD///APg7/v8VKhQAZ8/f4avry9X07hFixZo2bIlGjdujGXLlqFnz55/9b8vMa6urvj8+TN27twpcex3jg+LgDGKTM2aNQH8Lzz7M58/f+ba5NU2ISEBKSkpXJvyxOXLl2FjYwNFRUU8ePBAIjeMjRFgYmKCli1bYurUqXj48CFiYmIwceLEv3ZsAgMDsWrVKkybNg0mJiZISkpCUlIS9xd0eno6kpKSoKWlBSDv8VFRUYGamlqBxrI8oKamxhNfYpo1a4a6devCz8/vr/38aGlpQVFREc2bN+ft19PTg4GBAZfb9LeOT06OHj0KNTU1dOvWTeLY7xwfJsAYRcbY2BgKCgoICgqSOPb27VvEx8dzXxKWlpYAILVtQEAAAEh8oZR1rl69ir59+8LCwgKPHz9GkyZNJNr8jWOUmJiIo0eP4tatWxLHtLS0oKOjg4CAgL9ybADAzc0NGRkZ2L59OypVqsRthoaGAAAnJydUqlQJ7u7u0NHRkfrMqampCAsLg5WVFWRkZAo0luWF3KINycnJUFJS+ms/P+bm5khLS0NiYqLEsczMTMjKyhb4M/EnjY+YuLg4eHt7w87ODnJychLHf+v4FGIlJ+MvJTcbCiKigQMHkqysLL169Yq3f/78+QSA7t27x+1r3rw5Va5cmb5//85rO2DAAKnXKMuEhoaSkpIStW7dmlJSUvJs+7eNUVpaGqmoqFDdunUlxubTp08kLy9PjRo1IqK/b2yIiCIiIsjLy0tiO3v2LAGgUaNGkZeXF8XExNCCBQsIAN29e5d3jT179hAAntVHQcayLPPt2zeqVKkStW7dmkQiEe/Y7du3CQD179+fiP7Oz8+FCxcIAG3evJm3PywsjGRlZcnW1pbb9zeOj5hr164RAFqzZk2ubX7X+DABxsiTyMhIzkHYzc2NAJCdnR23T2w69/79e6patSo1aNCATp8+Td7e3uTo6EiysrI8x2EiosePH5OSkhJZWVnRpUuXyNPTk6ZMmUIAaOnSpb/jMQuNnZ0dycrK0oULF6S6Luc05fsbx2jjxo0EgFq0aEFnzpwhLy8vOnLkCBkYGJBAIKDTp08T0d85Nrkh/kMnpw9YfHw81a9fn7S0tOjw4cPk4+NDW7ZsIWVlZbK1taWsrCyubUHGsqwjFp7du3enS5cukYeHB61fv57U1NSoatWq3I/d3/r5cXBwoAoVKpCjoyP3b6tOnTqkoKBAPj4+XLu/dXyIiDZv3kwA6MyZM7m2+V3jwwQYI0+WLVvGlUaRtunq6nJtw8PDqX///qShoUHy8vJkYGBA69ato8zMTInr+vn5UZcuXUhNTY0UFBTIxMSEDhw4UIpPVjzkNTY/jw/R3zlG58+fJzs7O6pcuTLJycmRrq4ude3aldzd3Xnt/saxkYY0AUaUXZVizJgxVL16dZKTk6O6devSggULKDk5WeIaBRnLso6Liws1b96cVFRUqEKFClS7dm0aN24cr8wX0d/5+REKhbRmzRrS19cneXl5UldXJwcHBwoMDJRo+zeODxHR4sWLCQDdvHkzz3a/Y3wERET5n7BkMBgMBoPBYBQVloTPYDAYDAaDUcowAcZgMBgMBoNRyjABxmAwGAwGg1HKMAHGYDAYDAaDUcowAcZgMBgMBoNRyjABxmAwGAwGg1HKMAHGYDAYDAaDUcowAcZgMBgMBoNRyjABxmAw/giOHDkCgUCAI0eOFOt158yZA4FAAA8PjzzbtWnTBgKBgNuio6PzbF+1alXUqVOn+DpaCKKjo3l9btOmzW/tD4PxN1Hhd3eAwWAwioPu3bvDz88PdevW/W190NbWhpubG4BsgVXWqVq1Kvz8/AAAPXr0+M29YTD+LpgAYzAYfwQaGhrQ0ND4rX2Ql5eHhYXFb+1DQahQoQLXX3l5+d/cGwbj74JNQTIYjBKhTZs2kJOTQ0xMDAYPHgx1dXUoKirCzMyMixLlxM/PDz179kTVqlUhLy8PXV1dTJs2DbGxsbx2derUgYmJCW7evIkGDRpAS0sLQO5TkG5ubmjTpg3U1NQgLy+PevXqYfr06fj27RuvXVJSEiZPngwtLS0oKirCyMgIJ06cKPI4+Pv7o02bNlBWVkblypXRvXt3vH79WmrbkJAQDB48GFpaWpCXl4eOjg569eqFp0+fcm2GDh0KgUCA4OBgifPDwsIgEAgwYsQIAMDXr18xc+ZM6OnpQVlZGVWqVEGzZs1w+PDhIj8Xg8EoGiwCxmAwSozMzEx0794dXbt2xfjx4/H9+3fMnDkTvXv3xr1792BjYwMA8PLyQvv27aGvr49///0XNWvWhL+/P1atWoWbN28iICAAlSpV4q6bkpKC2bNnY8OGDahRo0au9z948CDGjRuHDh064PDhw9DQ0IC/vz8cHR1x7949PH78GEpKSgCAYcOG4eLFi5gxYwa6deuGr1+/YuvWrUhKSir083/69Al2dnZQVlbG9u3boaenh6CgIPTq1QtCoRAVK1bk2kZERMDGxgZqamrYsmUL6tati/DwcCxYsABt27ZFcHAwdHR0MGHCBLi4uGDfvn3YtWsX737Hjx8HAIwfPx4A0KtXL7x8+RJOTk4wMDDAjx8/cOrUKYwZMwYpKSmYOnVqoZ+NwWAUEWIwGIwSwNbWlgDQvHnzePt9fHwIADk4OHD7TE1NqWrVqvTlyxde2zNnzhAAcnJy4vbp6uoSADp37hyvrbOzMwEgZ2dnIiJKTU0ldXV1qlevHgmFQl7bTZs2EQDau3cvERG9fPmSAFD37t157eLi4khNTY0A0L179375vLq6urx9CxcuJAD033//8fYfPnyYAPDa37p1i7p160Y3btzgtd25cycBoJ07d3L7DA0NSU1NjZKTk7l9IpGIdHV1qVGjRkRE9P37dwJA//zzj0RfN2/eTBcvXuTt09XVJVtb2zyfkcFgFB9sCpLBYJQoAwYM4P1/y5Ytoa6uzk2hff78GUFBQbC3t4empiavbY8ePSAvLw8vLy+J69rb2+d5X39/f3z//h09e/aUyG/q3bs3AODu3bsAAB8fH6nXrFy529TeDQAABmRJREFUMtq1a/erR8wVHx8fCAQCdO7cmbe/T58+EAgEvH0dOnTA5cuX0alTJ95+AwMDANkRMjETJkxAQkICTp8+ze3z8vJCREQExo0bBwBQUVGBhoYGzpw5gwsXLkAoFHJtZ82ahZ49exb6uRgMRtFhAozBYJQourq6EvuqV6+OmJgYAMCHDx8AZE+f5bREEAgEUFRURHp6Oj5+/Mg7X1VVFcrKynne99OnTwCAWrVqSRyrWbMmACAyMhIAOMsIbW1tibY6Ojp53icvoqOjpfZVVVWVN6UKAEQEZ2dntG3bFpqampCVlYVAIED79u0BACKRiGs7fPhwKCsrY9++fdy+EydOQEFBAcOHDweQnVR/5coVKCsro3fv3qhcuTJsbW2xatUqifFkMBilDxNgDAajRJGVlZXYJxKJICOT/fUjjgT169cPQUFBUjdXV1fe+XJycr+8r/i6RFSkNjmFT0EpyHUXL16M0aNHIysrC7t27cKDBw8QFBSEAwcOSJyrpqaGgQMH4tGjRwgJCYFQKMS5c+fQq1cv3krQ5s2bIzw8HB4eHpg7dy4yMzOxbNkyNGzYEBcvXiz0czEYjKLDkvAZDEaJEhkZicqVK3P/T0SIiYnhVi+KzUiTk5NhYmJSbPcVR97EEbaciCNAtWvXBgBUq1YNAPDlyxeJtu/evSt0H6pVq4bXr18jLS0NioqK3P6vX78iKSmJJ5b2798PTU1NuLu786ZMpa12BLKnIQ8fPozjx4/DzMwMcXFx3PRjTmRkZGBrawtbW1usXLkS4eHhaNu2LWbMmAEHB4dCPxuDwSgaLALGYDBKlP/++4/3/w8ePEBcXBzMzc0BAFpaWrCwsMDt27d5eU4AEBUVhZEjR+Lx48cFvq+5uTm0tLRw8eJFXv5Tzj6Jc7OaNWsGALh8+TKv3devX3/pgJ8XzZo1AxHh6tWrvP3nzp2TaJuZmclZZYhJT0/Htm3buOM5sbKygpmZGVxcXODs7Aw9PT20bduWO/748WOMGDECUVFRvPMaNmwIU1NTCRsOBoNRurAIGIPBKFEuXryIzMxM2NnZIT4+HjNmzECFChUwa9Ysrs22bdvQrl07tG7dGk5OTqhTpw5evXqFNWvW4OvXr1i8eHGB7ysnJ4fNmzdj2LBh6NGjB6ZMmYJKlSrhwYMHWLVqFVq2bImBAwcCAIyMjNCuXTtcuXIFM2fORPfu3REbG4uVK1fCwMAAAQEBhXr2iRMnYvfu3Zg0aRISExNRt25dPHjwAMeOHYO6ujqvbYcOHXDu3DksWbIE9vb2+PjxI5ycnDB06FAEBQXB3d0dXl5eaN68OTcFO2HCBEyYMAGRkZFYt24dL7G/evXqOH/+PAIDAzF37lzo6ekhIyMD9+7dw82bNzF27NhCPRODwSgmfucSTAaD8ecitqF49eoVDRo0iDQ0NEhBQYHMzMzo+vXrEu0DAgLIwcGBNDQ0SFZWlrS0tGjQoEH04sULXjtdXV3S0NCQOP9nGwoxV69eJRsbG6pYsSLJy8tTgwYNaNGiRZSUlMRr9/37dxo1ahRpaGiQvLw8GRoa0rFjx8jJyanQNhRERPfv36cWLVqQoqIiqaqqUpcuXejVq1ekr6/Pa//lyxcaPHgwaWpqkoqKCllZWXH2FdOmTSNlZWWqXr06xcfHc+f8+PGDKlWqRHJychQdHS1x79DQUBo8eDDVqFGD5OXlSV1dnczMzGjDhg2UkZEhMa7MhoLBKD0ERHlkiTIYDEYhadOmDTw9PfHjxw+e4eifSps2bfD+/Xu8f/++1O4pFApRp04d2NraSixUKCh16tRBnTp1ijTlymAw8g/LAWMwGIxyytatWxETE4PZs2f/7q4wGIwCwnLAGAwGo5hIT0+Hv78/AMDExAQVKhT/V2xCQgKeP3+OW7duYdWqVZg8eTIsLS0Lda3MzEw8efIEQHbfGQxG6cEEGIPBYBQTUVFRnBiKiopC9erVi/0ez549Q+vWrVG5cmXMnz8fK1euLPS1vn79yhNvDRs2LI4uMhiMfMBywBgMBoPBYDBKGZYDxmAwGAwGg1HKMAHGYDAYDAaDUcowAcZgMBgMBoNRyjABxmAwGAwGg1HKMAHGYDAYDAaDUcowAcZgMBgMBoNRyjABxmAwGAwGg1HKMAHGYDAYDAaDUcowAcZgMBgMBoNRyvwfDdyFDjh5+XkAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Choose the star.\n", "star = stlr[stlr.kepid == 10593626].iloc[0]\n", "\n", "# Compute the completeness map on a grid.\n", "period = np.linspace(10, 700, 500)\n", "rp = np.linspace(0.5, 2.5, 421)\n", "X, Y = np.meshgrid(period, rp, indexing=\"ij\")\n", "Z = get_completeness(star, X, Y, 0.0, with_geom=False)\n", "\n", "# Plot with the same contour levels as the figure.\n", "c = pl.contour(X, Y, Z, [0.01, 0.05, 0.1, 0.25, 0.5, 0.75, 0.9, 0.95, 0.99], colors=\"k\")\n", "pl.clabel(c, fontsize=12, inline=1, fmt=\"%.2f\")\n", "pl.xlabel(\"period [days]\")\n", "pl.ylabel(\"$R_p \\, [R_\\oplus]$\")\n", "pl.title(\"det. eff. for KIC10593626\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In practice, the only detection efficiency function that enters our analysis is *integrated across the stellar sample*. In fact, the function $Q(w)$ needs to be integrated (marginalized) over *all the parameters that affect it but aren't of interest*, for example, [we should include eccentricity](http://arxiv.org/abs/1408.1393). For now, following Burke et al., we'll ignore eccentricity and integrate only over the stellar parameters. This cell takes a minute or two to run because it must loop over every star in the sample and compute the completeness on a grid." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:28:54.612700Z", "iopub.status.busy": "2022-06-06T11:28:54.611559Z", "iopub.status.idle": "2022-06-06T11:31:58.682430Z", "shell.execute_reply": "2022-06-06T11:31:58.681634Z" }, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "period = np.linspace(period_rng[0], period_rng[1], 57)\n", "rp = np.linspace(rp_rng[0], rp_rng[1], 61)\n", "period_grid, rp_grid = np.meshgrid(period, rp, indexing=\"ij\")\n", "comp = np.zeros_like(period_grid)\n", "for _, star in stlr.iterrows():\n", " comp += get_completeness(star, period_grid, rp_grid, 0.0, with_geom=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the target range, here is the completeness function (including the geometric transit probability):" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:31:58.686565Z", "iopub.status.busy": "2022-06-06T11:31:58.686329Z", "iopub.status.idle": "2022-06-06T11:31:58.881085Z", "shell.execute_reply": "2022-06-06T11:31:58.880515Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.pcolor(period_grid, rp_grid, comp, cmap=\"BuGn\")\n", "c = pl.contour(period_grid, rp_grid, comp / len(stlr), colors=\"k\", alpha=0.8)\n", "pl.clabel(c, fontsize=12, inline=1, fmt=\"%.3f\")\n", "pl.title(\"mean pipeline detection efficiency\")\n", "pl.xlabel(\"period [days]\")\n", "pl.ylabel(\"$R_p \\, [R_\\oplus]$\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Population inference\n", "\n", "Now that we have our sample and our completeness model, we need to specify the underlying population model. Like Burke et al., I've found that the data don't support a broken power law in planet radius so let's just model the population as the product of indpendent power laws in $P$ and $R_p$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:31:58.886406Z", "iopub.status.busy": "2022-06-06T11:31:58.885182Z", "iopub.status.idle": "2022-06-06T11:31:58.895538Z", "shell.execute_reply": "2022-06-06T11:31:58.895026Z" }, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "# A double power law model for the population.\n", "def population_model(theta, period, rp):\n", " lnf0, beta, alpha = theta\n", " v = np.exp(lnf0) * np.ones_like(period)\n", " for x, rng, n in zip((period, rp), (period_rng, rp_rng), (beta, alpha)):\n", " n1 = n + 1\n", " v *= x**n * n1 / (rng[1] ** n1 - rng[0] ** n1)\n", " return v\n", "\n", "\n", "# The ln-likelihood function given at the top of this post.\n", "koi_periods = np.array(kois.koi_period)\n", "koi_rps = np.array(kois.koi_prad)\n", "vol = np.diff(period_grid, axis=0)[:, :-1] * np.diff(rp_grid, axis=1)[:-1, :]\n", "\n", "\n", "def lnlike(theta):\n", " pop = population_model(theta, period_grid, rp_grid) * comp\n", " pop = 0.5 * (pop[:-1, :-1] + pop[1:, 1:])\n", " norm = np.sum(pop * vol)\n", " ll = np.sum(np.log(population_model(theta, koi_periods, koi_rps))) - norm\n", " return ll if np.isfinite(ll) else -np.inf\n", "\n", "\n", "# The ln-probability function is just propotional to the ln-likelihood\n", "# since we're assuming uniform priors.\n", "bounds = [(-5, 5), (-5, 5), (-5, 5)]\n", "\n", "\n", "def lnprob(theta):\n", " # Broad uniform priors.\n", " for t, rng in zip(theta, bounds):\n", " if not rng[0] < t < rng[1]:\n", " return -np.inf\n", " return lnlike(theta)\n", "\n", "\n", "# The negative ln-likelihood is useful for optimization.\n", "# Optimizers want to *minimize* your function.\n", "def nll(theta):\n", " ll = lnlike(theta)\n", " return -ll if np.isfinite(ll) else 1e15" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To start, let's find the maximum likelihood solution for the population parameters by minimizing the negative log-likelihood." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:31:58.900207Z", "iopub.status.busy": "2022-06-06T11:31:58.899010Z", "iopub.status.idle": "2022-06-06T11:31:58.920150Z", "shell.execute_reply": "2022-06-06T11:31:58.919617Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " fun: 1162.5264684357785\n", " hess_inv: <3x3 LbfgsInvHessProduct with dtype=float64>\n", " jac: array([4.54747351e-05, 2.27373674e-05, 0.00000000e+00])\n", " message: 'CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH'\n", " nfev: 44\n", " nit: 8\n", " njev: 11\n", " status: 0\n", " success: True\n", " x: array([-0.41010522, -0.57993216, -1.23312798])\n" ] } ], "source": [ "from scipy.optimize import minimize\n", "\n", "theta_0 = np.array([np.log(0.75), -0.53218, -1.5])\n", "r = minimize(nll, theta_0, method=\"L-BFGS-B\", bounds=bounds)\n", "print(r)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...and plot it:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:31:58.924992Z", "iopub.status.busy": "2022-06-06T11:31:58.923805Z", "iopub.status.idle": "2022-06-06T11:31:59.420073Z", "shell.execute_reply": "2022-06-06T11:31:59.416333Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.5096066]\n" ] }, { "data": { "image/png": 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AcPr0aXTp0kXkNEREpMzkvhLWrl07HDx4EFFRUVi8eDEEQcD69euxefNmqKur49ChQ2jVqlUBRCUiIhIfn71FRER5JfeVMADo378/evfujfv37yM4OBgSiQSVKlVCgwYNoKaWq10SEREVKhKJROwIRERUROW6YlJTU0PTpk3RtGnT/MxDRERUKMyaNQt2dnawsbFBw4YNUa5cObEjERFREZGrIiw6OhqXL19GVFRUhgdH/tu4cePyFIyIiEgsBgYG8PDwgIeHh+yKmJmZGSQSiez+53r16kFPT0/kpEREpIzkfljztWvX0KNHD8TGxiK7TSUSCdLS0vIlYEHiwymJckdZH3qsrLkLGs+FWYuIiIC3tzd8fHxk07t37wD8r6uiqakp6tWrh3r16mHRokUips0bHgNERIo9F8pdhNna2sLf3x9jxoyBlZUVNDQ0slxv2LBh+RKwILHRIcodZS1mlDV3QeO5MOfevXuXqTCLiIhQmi8fs8NjgIhIsedCubsjPn36FOvXr8eIESMKIg8REVGhZWhoiC5dumQYoj48PBw+Pj4ipiIiImUjdxGmqakJS0vLgshCRESkdIyMjGBkZCR2DCIiUiJyPyfMzs4Od+7cKYgsRKSEwsLCxI5AREREpFTkLsLWrFmD/fv34+DBg0hOTi6ITERUyO3bt0/2c/Xq1fHHH3+ImIaIiIhIuchdhHXv3h1fvnzB0KFDoa2tjQoVKkBfXz/DVLFixYLISkSFQGhoKCZOnCh7LZVK4eTkhNDQUBFTEeWve/fuISkpKdP827dvo1WrVtDW1kb58uUxcOBABAYGipCQiIiUmdxF2KdPn5CamgozMzOYmpqiVKlS0NbWzjCVLFmyILISUSEQEBCQ6fmAaWlpePXqlUiJiPJf06ZN4e/vn2Gej48PWrdujevXr8PAwABqampwc3ODra0tu+USEZFc5B6Y482bNwUQg4iUhZWVFVRUVDIUYqqqqhywh4qUrJ7esmTJEujo6ODcuXNo3LgxAODy5cvo06cPli5diq1btyo6JhERKSm5i7AfefHiBdatW4dt27bl966JqBAwMTHBxo0bMX78eADfCrDt27fDxMRE5GR5IwgCEhMTER0djejoaMTExCA+Ph5JSUkZpuTkZEil0kyTqqoq1NXVoaamBnV1dairq0NTUzNTT4FSpUqhdOnSKFOmDEqUKCH2r01y8PLywsKFC2UFGAC0bdsWs2fPZgFGRERyyXURlpiYiODg4AzfhqempmL//v3Yt28fizCiImzYsGGyIuzZs2ewtrYWOdH3RUdHIygoKEP3sjFjxiAqKgrv3r1DZGQkoqOjkZKS8t39lChRApqamlBVVYWKiopsSn9Qb0pKSobpv902s9pfmTJlULZsWZQvXx4VK1aU3Verr68PAwMDGBsbw8TEBBUqVICKitw9yCkfxcfHo1GjRpnmN2nSBPPnzxchERERKSu5i7D4+HiMGjUKf/31V5bdNQRBQL169fIjGxEpAWNjY7EjAACSkpLw4sUL+Pv749mzZ/D398fr168RFBSE2NjYTOu/fv0aJiYmaNGiBQwMDFC2bFmUKVNGNpUuXRo6OjrQ0tKClpYWNDU15S6CUlJSkJCQkGGKj49HTExMhitunz59wsePH/H+/Xv4+/vj/fv3+PDhQ4YiTl1dHYaGhjAxMUGlSpUyTJUrV4aZmRk0NDTy/DlS9szMzLI8lmJjY6GpqSlCIiIiUlZyF2ErV67EsWPH0LBhQ1SrVg0HDhxAly5d8PnzZ3h5eWHSpEmYNm1aQWQlIgIAfPz4ET4+PvDx8YGvry8ePnyIwMBA2RdDhoaGqF69Oho3box+/fqhcuXKqFy5MvT19VG5cmUAgKenJ7S1tQs0p7q6OkqXLo3SpUvLvW1aWho+fvyIsLAwhIaGIjQ0FGFhYQgJCcHbt29x48YNhIaGygo1FRUVmJubw8rKCpaWlrCysoKVlRWqVauGSpUqQVVVNZ9/u6JPIpFkeD106FAcOHAAHTp0yDB/165dqF27tiKjERGRkpMIWV3O+o7q1avD0dERv/32G4BvDf/Dhw9Rp04d3LlzB8OGDcOVK1eU4v6QuLg46OnpITY2Frq6umLHIVIaCQkJKFWqFIBvV8cLsphJTU3Fw4cPcePGDdy4cQP37t1DSEgIAEBXVxcNGjRA/fr1UbNmTdSoUQPVq1fPtuhRZG5FSElJQUhICIKCghAYGIiAgAAEBATg1atXePXqFb58+QLgW7dHa2trVKtWDdWrV0fNmjVRu3ZtWFpaQk1NjefCLKR3M83K+/fvUa5cOaSkpKBdu3a4fv06Dh48iP79+ys4Zf7hMUBEpNhzodxXwoKDg9G1a9cM89K/iW3SpAmGDRuGGTNm4NChQ/mTkIiKldTUVNy9exdXrlyBl5cXbt++jYSEBGhqaqJx48bo378/bGxsYGNjgypVqsjVRVBbWzvLbtTKSl1dHVWqVEGVKlXQpk2bDMukUilCQ0Px/Plz+Pv7w9/fH8+fP8c///yD9+/fAwA0NDRQvXp1VK1aVYz4hdqwYcOyXZbe7VNdXR2+vr6YNWuWUhdgRESkeHIXYSoqKkhOTpa9LlWqFD59+iR7bWdnh99//z1/0hFRsfD69WtcunQJly5dgqenJ+Li4lCmTBm0aNECCxcuRLNmzWBjY8P7buSgoqICMzMzmJmZoV27dhmWffjwAU+ePJFNDx48ECll4bVnz54crffmzRuUKVOmgNMQEVFRI3cRVrt2bezatQv29vZQUVGBqakpLl68CHt7ewDAu3fvkJCQkO9BiajokEqluHPnDk6fPo1Tp07h5cuXUFNTg62tLWbMmAEHBwfY2NjwPqYCUqFCBbRu3RqtW7cG8L/uFyQ/FmBERJQbchdhzs7OGD58OBITE3HmzBk4Ojpi7dq1SE1NRYUKFbB582bUqFGjILISkRJLSUnBlStXcOLECZw5cwaRkZGoUKECunbtit9++w2tW7eGjo6O2DGJZMLCwrB9+3YEBQXBwsICEyZMQPny5TOt9+TJE3Tt2hWBgYEipCQiImUkdxE2dOhQREdHy+4pmDp1Kv766y+sX78ewLfuiQcOHMjXkESknKRSKW7duoXDhw/j6NGj+PjxIywsLDBkyBB0794dTZo04dUuKpQCAgJga2uLqKgo2bwNGzbgyJEjmbp3Jicn4+3bt4qOSERESixXD2uePHmy7Gd9fX08efIEV65cQWpqKpo2bQp9ff18C0hEyuf58+fYu3cvDh8+jODgYJiYmGDEiBEYOHAg6tatm+2oc0SFxYIFCyCVSrF//340bNgQT548wbRp09ClSxecPXsWDg4OYkckIiIllqsi7L9KlCiBzp0758euiEhJJSYm4vjx49i1axe8vLxQpkwZ9O3bFwMHDkTz5s3lftAxkZju37+PRYsWYfDgwQCAatWqoVWrVmjXrh169+6NO3fuoHr16iKnJCIiZZWjImzx4sVy7VQikWD+/Pm5CkREyuXJkyfYv38/Dh48iNjYWNjb2+Pw4cPo3r07SpQoIXY8olwJDQ1F/fr1M8wrX748zp49i8aNG6N79+64e/durh7ETURElKMibNGiRXLtNLdF2OPHj+Hq6oobN24gMjIS5cqVQ5s2bbBgwQJYWVnJ1nvy5AkWLFiA69evIy4uDmZmZujXrx/mz5/PP/qIFCAtLU32c5MmTWBoaIjx48dj5MiRsLCwEDEZUf4oU6YMXrx4gebNm2eYb2RkhDNnzqBly5bo2bMnLly4IFJCIiJSZjkqwq5evVrQOXDv3j20adMGJiYmWL58OczMzODr64tFixbh3LlzePDgAczNzeHv7w9bW1sYGxtjy5YtMDExgZeXFxYuXIgHDx7g/PnzBZ6VqLiKiYnB7t27MzwLcO/evRg4cCDU1dVFTEaUv9q3b4+lS5eiZcuWGb4EBIAGDRrg8OHD6NOnDzp27IgpU6aIE5KIiJSWRBAEQewQANCsWTP4+vri9evXMDIyks3/448/MHr0aMyePRvLly9Ht27dcOHCBbx48QKVK1eWrbd8+XLMnTsX7u7ucHR0zNF7pj8bJzY2Frq6uvn+OxEVFe/evcPatWuxbds2JCcno1evXnBzcwMAxMfHQ1tbW+SElBc8F2YWFBSE+vXrIz4+HocOHULfvn0zrXPu3Dn07dsXKSkpSEtLy3CFWNnwGCAiUuy5MNd3yj9+/BgHDx7E2rVrsX79ehw+fBgvX77MdZDRo0dj69atGQowALC1tQUAhISE4PPnzzh//jxat26doQADgBEjRgCA7A9DIsq7wMBAODs7o1KlStixYwcmTpyIt2/fYteuXWJHIypQlStXxq1bt9C1a9ds7/vq3Lkz7t+/jxYtWqCQfJ9JRERKQu7REWNjY9GvXz94eHgAgKzhSR9yulu3bvjzzz/l/mY8vYj6r/TCrk6dOnj06BFSU1NRt27dTOsZGhqifPnyuH//vlzvS0SZ+fv7Y9myZTh8+DDKlSsHFxcXjB07Fnp6egCAhIQEkRMSFbwaNWrgxIkTP1znypUrCkpERERFhdxF2PTp03Hp0iU4ODjA0dERhoaGkEqliIiIwNmzZ3Hq1CnMnDkTmzZtylOwz58/49KlS3B2dkbDhg3h7OyMS5cuAUC2zyHT19dHSEhItvtMTk5GcnKy7HVcXFyeMhIVNa9fv4aLiwsOHjwIExMTbNiwASNHjkTJkiXFjkZERERUZMhdhJ06dQoTJkzIcGN+ukmTJmHy5Mk4cuRInoqw9KtqqqqqcHJygqurK3R0dJCYmAgA0NDQyHI7TU1N2TpZcXV1hYuLS65zEeW3hIQElCpVCoC491YFBwdj6dKl2L17N/T19bFx40aMGjUKmpqaouShjArLcUJERET5Q+57wj5//oz+/ftnu7xv3755vsL04MED3Lx5E+vXr8f58+fRoEEDPHnyRPZt/NevX7PcLjk5+bt/nMyePRuxsbGy6XtXzYiKg48fP2LKlCmwsrLCyZMnsWrVKrx+/Rrjxo1jAUaUQ7Nnz8bMmTPFjkFEREpE7ithlpaWiIyMzHZ5REQELC0t8xSqXr16AL4NytGnTx9YWlrC2dkZq1evlr1HVsLDw2FsbJztfjU1NfmHJRG+fWGxceNGLF26FFKpFPPnz8fkyZOho6MjdjQipfPbb79BEASsXLlS7ChERKQk5L4SNmvWLKxYsQLR0dGZlsXFxcHV1RUzZsyQa59xcXHYt2+f7J6vf6tYsSJMTEzg4+ODOnXqQFNTEw8ePMi0XmBgIGJiYtCkSRO53puoOBEEAUeOHEG1atUwa9YsDBo0CK9evcK8efNYgBHlkqenJzw9PcWOQURESkTuK2Fv375FamoqzM3NYW9vD3Nzc6iqqiIsLAxXrlyBsbExHj16lKEQk0gk3/2GUFNTE+PHj4e+vj6ePn0KLS0t2bKwsDAEBgbCwsICJUuWRI8ePXDs2DG8evUqwxW3HTt2AACGDh0q769EVCx4e3tj4sSJuHPnDrp06YLz58+jevXqYsciUhoxMTFITEyEtra2bKRQAGjZsqWIqYiISBnJ/bBmFRX5Hy0mkUh++BDL1atXY/r06WjatCl++eUXGBoa4vXr11ixYgVevHgBNzc39O3bF2/fvkXDhg1RpkwZLF26FMbGxrh06RKWLVuGgQMHYv/+/TnOxYdTktgUMeBCVFQU5syZg507d6J27dpYt24d7O3t87RPDhShWAX9efNcmLXU1FTs2LEDbm5u8PX1RVJSkmyZtrY2fvrpJwwdOhRDhgwRMWX+4DFARKTYc6HcV8KuXr1aEDkwbdo0WFhYYNOmTfj555+RkJAAIyMj1KpVC5s2bUKbNm0AAObm5rh16xbmzZuHcePG4fPnz6hSpQqWLVuGadOmFUg2ImWUlpaGXbt2Yc6cOUhLS8OGDRswduxYqKnJ/b89UbETHR2NNm3a4OHDh9DW1kaNGjWgr68PTU1NJCcnIzw8HDdu3ICnpyf27t2Lc+fOoUSJEmLHJiIiJSH3X2N2dnYFkQMA0KNHD/To0eOH61lZWeHIkSMFloNI2Xl7e2Ps2LHw9vbGsGHDsHLlSlSsWFHsWERKY8GCBXjz5g0OHjyIPn36ZPnlxZcvX7B3715MmzYNS5cuxdKlS0VISkREykj+voVEVGglJCTg119/xU8//YSUlBTcvHkTe/fuZQFGJKfTp0/D1dUVAwYMyPbqcYkSJeDs7IwlS5bAzc1NwQmJiEiZsQgjKiL+/vtv1KpVC1u3bsWKFSvg7e0NW1tbsWMRKaXIyEjUrVs3R+s2adIEoaGhBZyIiIiKEhZhREru48ePGDJkCDp06AALCws8efIE06dPL9B7v7S1tSEIAgRB4KAcVCSVK1cOAQEBOVr3xYsXKFeuXAEnIiKiooRFGJESO378OKpXr45z585hz5498PDwgIWFhdixiJSeg4MDZs+ejdu3b393vWvXrmHOnDno3LmzgpIREVFRwGHSiJTQp0+fMGHCBBw+fBg9e/bEli1beN8XUT5aunQpLl++jObNm8Pa2hp169aFvr4+NDQ08PXrV0RERODBgwcIDAxElSpVOCgHERHJhUUYkZI5e/YsxowZgy9fvuDAgQMYOHAgJBKJ2LGIihRTU1P4+flhyZIlOHr0KI4ePZppHRMTE8ycOROzZs3is7WIiEguOSrCqlSpItdOJRIJXr9+natARJS1uLg4TJkyBXv27EHHjh2xa9cuGBkZiR2LqMgqX748NmzYgA0bNiA8PBwRERFITExEyZIlYWxszKvPRESUazkqwuLi4jJ8056cnIz4+HhIJBLo6OhAKpUiPj4eAFC2bFlUqFChYNISFVO3b9/GoEGD8OHDB+zatQsjR47k1S8iBTIyMuKXHkRElG9yNDDHx48f8eHDB3z48AF37txBpUqVsHv3bsTExCAmJgZxcXH48OEDtmzZAn19fZw7d66gcxMVC2lpaViyZAlatGiBihUrws/PD6NGjWIBRkRERKTE5L4n7Ndff8XIkSMxfPjwDPPLlSsHZ2dnxMTEYPLkyXB3d8+vjETF0tu3bzF48GDcunUL8+bNw/z58wt02HkiIiIiUgy5h6i/fv066tevn+3ypk2b4saNG3kKRSSPhIQESCQSSCQSJCQkiB0nXxw9ehR169ZFSEgIrl27BhcXFxZgRFTg3NzcxI5ARFQsyF2Eff369buDbgQFBeHr1695CkVUXH358gVjx45Fv3790LFjRzx8+BDNmzcXOxZRsbd48WK8f/9e9loQhEzzcis4OBjDhg2DoaEhNDQ0YGpqigkTJuDTp08/3DYuLg4LFiyAhYUFNDU1YWxsDAcHB/z999+5yjJp0iT4+PjkalsiIso5uYuwRo0aYd68eTh9+jS+fPkim//161ecPHkSs2bN+u6VMiLK2qtXr9C0aVPs2bMHO3bswKFDh1C6dGmxYxERABcXF0RERMheS6XSTPNy48OHD2jatCk8PDzg6uqKf/75B3PmzMHBgwdhb2//3S81ExISYGdnh9WrV2PYsGH4+++/sXr1aoSHh6Njx465ui2gVq1a6NGjR74Ul0RElD25+zetXr0a9vb26NmzJyQSiezZKHFxcRAEAZqamli5cmW+ByUq6po3bw5DQ0PcvXsXdevWFTsOEf2LIAg5mievpUuXIjw8HF5eXrKr3ra2ttDT08OgQYOwY8cOTJgwIcttd+3ahYcPH2Lbtm1wcnKSzW/WrBkqVaqElStXokuXLnLl+fPPP9GqVSv07dsXHh4eUFdXz/0vR0RE2ZL7SljDhg3h7++PmTNnonnz5tDX10eFChXQtGlT/PLLL3j06BGaNWtWEFmJipzk5GTZzx06dICPjw8LMKJi5MiRI7C2ts7U7bhPnz7Q1tb+7j1aLVq0wJ49ezBw4MAM883MzFChQgUEBQXJncfY2BjHjx/HzZs3MXXqVLm3JyKinMnVnf7GxsZYvnx5fmchKlZCQkLQo0cP2es9e/agVKlSIiYiIkUKCwtDZGQkWrZsmWmZuro6qlevDl9fX0ilUqioZP7OtEGDBmjQoEGm+ZGRkYiKikLTpk1zlatFixbYsGEDxo8fjwYNGmQaDZmIiPJO7ith6b5+/QofHx+cOnUKMTEx+RiJqOjz9PSEjY0NIiMjZfPCw8NFTETKIiwsTOwIlE/S7yfT19fPcrm+vj6SkpLkamOlUilGjx6NtLQ0zJ07N9fZxo4di5EjR8LZ2Rl3797N9X6IiChruSrCdu7cCQMDAzRu3Bi9evVCcHAwAGDZsmWYPHlyvgYkKkoEQcBvv/0GBwcH1K1bFxMnTpQtq169Ov744w8R01FhtW/fPtnPPE6KjsTERACAhoZGlss1NTUzrPcjX79+xfDhw3H27FnMnTsXHTp0yHbd5ORkxMXFZZj+TSKRYMuWLbCxsUGXLl0QGBiYowxERJQzchdhp06dgpOTE8zMzDB//vwMy0qWLIlNmzZhy5Yt+RaQqKj4/Pkz+vbtixkzZmDGjBnYtWsXZs+eLVsulUrh5OSE0NBQEVNSYRMaGpqhWOdxUnSULFkSALIdATH9nlFtbe0f7uvjx49o27Yt/vzzTyxevBhLly797vqurq7Q09OTTaamppnW0dTUxOnTp1G6dGl06tQpR0PmExFRzshdhK1btw6dOnXCgwcPsGjRogyjQ/3yyy8YO3Ys9uzZk68hiZRdYGAgmjZtiosXL+Kvv/6Cq6srAgMDIZVKM6yXlpaGV69eiZSSCqOAgAAeJ4WARCLJ0Tx5GBsbA0C2w9yHh4dDW1sbenp6391PQEAAfvrpJ/j6+uLo0aOZviDNyuzZsxEbGyubQkJCslyvfPnyOH/+PD5+/Iju3btneDQNERHlntxFmJ+fH8aOHZtt49OjRw88e/Ysz8GIigpPT080atQIycnJuHv3Lnr27AkAsLKyynSzvaqqKiwtLcWISYUUj5PCoSCGqDcwMICJiQkePHiQaVlSUhL8/f3RuHHjLAflSBcUFAR7e3skJyfjxo0b6NOnT47eW1NTE7q6uhmm7FhaWuLMmTO4d+8eRowYkelLASIikp/cRVhycvJ3R3BTV1fPl2enECk7QRCwceNGtGvXDg0aNMDdu3dRo0YN2XITExNs3LhR9lpVVRXbt2+HiYmJGHGpkOJxUjhIpVLUqVNH9lpVVTXTvNwYPHgwAgMDcfXq1Qzz9+3bh+TkZAwdOjTbbZOSktC5c2ekpqbi2rVrqFevXp6yfI+trS0OHDiAI0eO5GnADyIi+kbuIqxKlSq4ePFitssPHz4MCwuLPIUiUnbJyckYM2YMJk2ahIkTJ+LChQsoW7ZspvWGDRsm+/nZs2cYNWqUImOSkuBxUnTNmjULFhYWGDBgAPbs2YNbt25h3bp1mDp1Kuzs7GRF2P79+6GmppbhnuvVq1fD398fTk5OiI6Ohre3d6Ypu/vNcqN379747bffsGLFCmzbti3f9ktEVBzJ/ZywAQMGYPHixShZsiSGDBkCAIiOjoaPjw927tyJnTt38hliVKx9+PABPXv2xL1797Bnz54cP2Mn/f4Qou/hcVK06Onp4caNG5g3bx7mzJmDqKgomJiYYNKkSZg/f76sK6JUKkVaWlqGroBXrlwBALi4uMDFxSXL/QcFBaFSpUr5lvfXX3/F27dvMW7cOJQuXRr9+/fPt30TERUnEkHOvoMpKSno1q0bLl68CIlEAkEQZPeHCYKALl264MSJE1BVVS2QwPkpLi4Oenp6iI2N/W5/eCrcEhISZF1k4+PjczSSWEF59uwZHB0dkZCQgFOnTv3wYamFKTsVXgV9nPBcSPIcA1KpFMOHD8fhw4dx4sQJdOnSRUEpiYgKliLbQ7mvhKmrq+P8+fM4c+YMzp07h+DgYEgkElSqVAmOjo7o1KlTQeQkKvQ8PDzQu3dvmJmZwdPTM1+/fSYixUtOTsZff/2FiIgI1KlTB23bthU7UqGgoqKC3bt3Iz4+Hn369MH58+dhb28vdiwiIqUidxGWrmvXrujatWum+bGxsfj06RMqV66cp2BEymTr1q2YOHEiHBwccOTIEV5NIFJy8fHxaNmyJfz8/GQ9Pjp27Ah3d/c8D01fFKipqeHw4cOyvwUuX76MJk2aiB2LiEhpyD0wh6qqKnx9fbNdfuXKlR92wSIqKtLS0jBlyhSMGzcO48aNg7u7OwswoiLgt99+kz2SZcuWLejVqxfOnz+P7du3Z1hPEAScPHkSrVu3FimpeDQ1NXHixAnUq1cPHTt2xKNHj8SORESkNHJ8JSw4OBjAtwYnIiJC9vrfUlNT4enpiZiYmHwLSFRYJSQkYODAgTh79iw2bdqE8ePHix2JiPLJuXPnMHnyZKxduxYA4OzsjPHjx2Pv3r1wdnZGdHQ0du7cia1bt2bZHhYX2traOHfuHOzt7eHg4ABPT0/UrFlT7FhERIVejouwSpUqQSKRQCKR/PAm3MaNG+c5GFFhFhkZiS5duuDZs2dwd3fnvZBERczr168zjfQ7fvx41KtXD6NHj8bhw4eRlJQEXV1dODs7w8nJSaSk4tPT08PFixfRpk0btG7dGpcvX87z89OIiIq6HBdhjx49wpUrV/DLL7/A0dER5cqVy7SORCKBsbExxo4dm68hiQqTFy9eoGPHjkhKSsL169fRoEEDsSMRUT6LjY1F+fLlM8yrXLkyUlNTsXv3bjRq1AhOTk7o378/SpYsKVLKwqNChQq4evUqHBwcYG9vj8uXLxfow6OJiJRdjouwWrVqoVatWjh16hTWrFkDKyurgsxFVCh5eXmhW7duMDQ0xNWrV2Fubi52JCJSEC0tLQDA6dOnOSx7FsqVK4crV66gXbt2sLe3h4eHB2xsbMSORURUKMk9MMfVq1dRuXJlXL58OcP8pKQkHDp0CMnJyfkWjkheYWFhBbbvo0ePom3btqhXrx5u3rzJAoyomOL/+9krU6YMLl++jKpVq6JNmza4e/eu2JGIiAoluYuw6Oho2NraYvDgwRnmJyYmYvDgwWjevDliY2PzLSDRj+zbt0/2c/Xq1fHHH3/k+3ts2LAB/fr1Q58+fXDx4kWULl0639+DiAoXDkWfO3p6evj7779Rq1YtODg4wMvLS+xIRESFjtxF2OLFi/Hy5UvMmzcvw/zSpUtj586dCAwMxKJFi/IrH9F3hYaGYuLEibLXUqkUTk5OCA0NzZf9S6VSzJgxA1OmTMGMGTOwf/9+aGho5Mu+iahwmzVrFpYvX46///4bUVFRYsdRKrq6urh48SIaNmyIdu3a4cyZM2JHIiIqVOR+WLO7uztWrlyZaSQoVVVVjBo1CikpKVi8eDHWrVuXbyGJshMQEACpVJphXlpaGl69egUTE5M87fvr168YOXIkDh06hPXr12Py5Ml52h8RKQ8DAwN4eHjAw8NDdkXMzMwMEokER44cQXR0NOrVqwc9PT2RkxZepUqVwvnz5zF48GD07NkTO3bswMiRI8WORURUKMhdhIWFhX136Nk6derwG0NSGCsrK6ioqGQoxFRVVWFpaZmn/X7+/Bm9evXCtWvX4Obmhr59++Y1KhEpkfDwcERERMDb2xs+Pj6ySRAEuLq6YsWKFQAAU1NT1KtXD/Xq1WMvkCyUKFECR44cwYQJEzBq1Ci8f/8eM2fOZFdPIir25C7CDA0N8fLlSzRt2jTL5d7e3jAwMMhzMKKcMDExwcaNG2UPSlZVVcX27dvzdBUsMjISnTp1wqtXr3Dx4kW0bt06v+ISkRIxMDCAo6MjHB0dZfPevXuXqTA7c+YM3N3dWYRlQ1VVFVu2bEHFihUxe/ZsREZGYs2aNVBRkfuOCCKiIkPuIqxbt26YNWsWypQpg/bt20NTUxMA8OnTJxw6dAgzZ87EqFGj8j0oUXaGDRsmK8KePXsGa2vrXO8rKCgI7dq1Q3x8PK5fv466devmV0wiKgIMDQ3RpUuXDEPUh4eHw8fHR8RUhZ9EIsGiRYtQsWJFjB8/HhEREdizZw9KlCghdjQiIlHI/TXUokWLUKFCBfTo0QPa2tooW7YsSpUqhQoVKmDSpEmoUqUKFi9enKswgYGBGD58OAwMDKCpqQkLCwv0798fL1++zLTukydP0LNnT5QvXx4aGhqwtLTE3Llz8eXLl1y9NxUNxsbGud728ePHaNasGQRBwM2bN1mAEdEPpaWl4c6dO3jw4IHYUZTC2LFjcfToUZw6dQr29vZ4//692JGIiEQh95UwPT093Lt3D7t374a7uzvCwsKgoqICc3NztGrVCs7OzrIHWsrj2bNnsLW1hZ6eHhYvXoxq1arhwYMHcHFxgYeHBx4+fAhTU1MAgL+/P2xtbWFsbIwtW7bAxMQEXl5eWLhwIR48eIDz58/L/f5UvN28eROOjo4wNzfHxYsX2aWWiL4rNDQUO3bswB9//IGIiAgAwIIFC0ROpRx69+4NU1NTdOvWDT/99BPc3d1Rq1YtsWMRESmWUEh0795dkEgkgr+/f4b5+/fvFwAIc+fOlc3r2rWroK6uLgQGBmZYd9myZQIAwd3dPUfvGRsbKwAQYmNj8/4LkGji4+MFAAIAIT4+Xu7tz549K2hpaQktW7YUYmJiCiBh9vKanYqHgj5OeC7MuQsXLghdu3YV1NTUBIlEIujr6wv9+/cXVFRUxI6WJ2IcA2/evBFq164t6OjoCBcuXFDY+xIRZUeR58Jc3xX79etX+Pj44NSpU4iJicljKQg4OTnh0KFDqFatWob5DRs2BPDtXh3g26h158+fR+vWrVG5cuUM644YMQIA4Obmluc8VDwcPHgQ3bp1g4ODAy5evMjhpokok48fP2LlypWwsLBA586d4e7ujiZNmuDgwYMIDQ3F1KlTxY6olMzNzXHz5k20bNkSnTt3xqZNm8SORESkMHJ3RwSAnTt3YubMmYiNjQUAPHjwAKVLl8ayZcvw/v17bNiwQe59dujQIcv5T58+BQBUqVIFAPDo0SOkpqZmeb+OoaEhypcvj/v378v9/lT8bN68GRMmTMDw4cOxc+dOqKnl6n8HIiqirl+/jm3btuHEiRP4+vUrSpUqBScnJ4wbNy5D9zkOt557Ojo6OH36NKZPn46JEyfCz88PGzdu5IAdRFTkyf1X56lTp+Dk5IQ6deqge/fuWLJkiWxZyZIlsWnTJlStWhXjxo3Lc7gPHz5g2rRp0NXVxcSJEwFA1vdeX18/y2309fUREhKS5bLk5GQkJyfLXsfFxeU5IykfQRCwfPlyzJs3D1OmTOFQyUSUSc2aNfH8+XMIgoA6derAyckJQ4YMQalSpcSOVuSoqqpi7dq1qF27NsaOHQs/Pz/89ddfsvvAiYiKIrn/8ly3bh06deqEBw8eYNGiRRAEQbbsl19+wdixY7Fnz548BwsPD0f79u0RFhYGNzc3WdGVmJgIANDQ0MhyO01NTdk6/+Xq6go9PT3ZxBN88SMIAqZPn4558+Zh8eLFWLt2ragFmLa2NgRBgCAI0NbWFi0HFW48ThTP398f6urqmDt3Lu7du4exY8eyACtgI0aMwM2bNxEZGYkGDRrA09NT7EhERAVG7r8+/fz8MHbs2Gy7X/To0QPPnj3LUyhfX180btwYAQEBcHd3R8eOHWXLSpYsCeDbPWlZSU5OzvaPlNmzZyM2NlY2ZXfFjIqmtLQ0jB49GmvWrMHvv/+O+fPnsxsREWVpwIABAIDly5fDwMAAv/zyS5aPS6H8ZWNjAx8fH9StWxcODg5YvXp1hi97iYiKCrmLsOTk5O9+G6iurp6nE6a7uztatGiBEiVK4Pbt25nuFUt/DlR6t8T/Cg8Pz/ZZUZqamtDV1c0wUfHw9etX9O/fH/v27cP+/ftl3VuJiLJy8OBBhISEYMmSJdDV1cWGDRtQvXp1ODg44OTJk5BKpWJHLLLKly+PixcvYvr06Zg+fTp69+6N6OhosWMREeUruYuwKlWq4OLFi9kuP3z4MCwsLHIV5ty5c+jduzcaNmyIe/fuZfnckDp16kBTUzPLB2MGBgYiJiYGTZo0ydX7U9GUmJiIbt264cyZM/jrr78wZMgQsSMRkRKoUKEC5syZg6CgIJw6dQoODg7w9PRE7969YW5ujqVLlyIyMlLsmEWSmpoaVqxYgRMnTsDT0xP169fH7du3xY5FRJRv5C7CBgwYgDVr1mDJkiV48+YNACA6Oho+Pj5wdnbGjh07MHjwYLmDPHv2DH369EGTJk1w8eJFlC1bNsv1SpYsiR49euDatWt49epVhmU7duwAAAwdOlTu96eiKS4uDh07dsT169dx7tw5dOvWTexIRKRkJBIJunbtiosXL+Lly5eYMmUKkpKSsGDBApiZmWHKlCliRyyyevTogQcPHsDIyAgtWrTAihUreBWSiIoEiSBn38GUlBR069YNFy9ehEQigSAIsvtqBEFAly5dcOLECaiqqsoVpE2bNrh27RqOHz8OExOTTMs1NTVRu3ZtAMDbt2/RsGFDlClTBkuXLoWxsTEuXbqEZcuWYeDAgdi/f3+O3jMuLg56enqIjY1l10QllpCQIOsiGx8fL7sn8NOnT+jQoQNevnyJ8+fPw9bWVsyYRIUWz4Xy+/LlCw4fPowtW7bAx8cHEokEaWlpYsfKtcJ+DKSkpGDhwoVYsWIF2rZtiz///BMVK1YUOxYRFTGKPBfKXYSlO3PmDM6dO4fg4GBIJBJUqlQJjo6O6NSpU+6C/GCABHNzc9mVNwAICAjAvHnzcOXKFXz+/BlVqlTB8OHDMW3atBwXgIW90aGcyaoIi4iIgIODAyIiInDp0iXUr19f5JREhRfPhXnj4+ODJ0+eYNiwYWJHyTVlOQY8PDwwZMgQCIKAXbt2oUuXLmJHIqIiRCmKsOzExsbi06dPqFy5cn7utkAoS6ND3/ffIiwqKgpt27ZFQkICLl++jOrVq4uckKhw47mQlOkYiIyMxOjRo3H27FmMGjUK69atg46OjtixiKgIUOS5UO57wlRVVeHr65vt8itXrqBp06Z5CkWUW4GBgWjRogVSU1Ph5eXFAoyIqIipWLEizpw5g127duHIkSOoU6cOrl+/LnYsIiK55LgICw4ORnBwMARBQEREhOz1v6fAwEB4enoiJiamACMTZc/BwQElSpTA9evXUaVKFbHjEBFRAZBIJBg1ahT8/PxgamqKVq1aYfr06fjy5YvY0YiIckQtpytWqlQJEokEEonkh32wGzdunOdgRLlRvnx5XLlyhTdsExEVA1WqVMHVq1exbt06zJ07F+7u7ti5cydatGghdjQiou/KcRH26NEjXLlyBb/88gscHR1Rrly5TOtIJBIYGxtj7Nix+RqS6Hvu378v+/nChQsswIiIihFVVVVMmzYNnTp1wujRo9GyZUuMHTsWK1asKPT3txFR8SX3wBytW7fGjh07YGVlVVCZFEaZbkSmrF27dg2dO3dGQkICgIxD1BNRzvBcSEXlGEhLS8OWLVswe/ZslClTBlu3boWjo6PYsYhISRTqgTmuXr2aoQCLiYlBampqvoYiyolLly6hY8eOaNSokdhRiIioEFBVVcXEiRPx9OlT1KxZE126dEH//v0RHh4udjQiogzkLsIA4OHDh+jUqRN0dHRQvnx5PHv2DABw9OhRHD9+PF8DEmXF3d0dXbp0gb29PY85IipQM2bMgKura7bLV6xYgVmzZsHV1RWXL19WYDLKjrm5OS5cuID9+/fD09MT1apVw/r16/mlMREVGnIXYY8fP0bz5s3xzz//oGHDhvh3b8Zr165hwIAB8PDwyNeQRP927Ngx9OzZE126dMGJEydQrlw5CIIAQRDYFZGI8t3q1auxdevWbJdv374dv/32G+Li4jBz5kysWrVKgekoOxKJBEOGDMGLFy8wePBg/Prrr7CxscHNmzfFjkZEJP89Yb1798azZ89w6dIlmJiYQEVFBQ8fPkSdOnUgCALat28P4FtXscKuqPSBL07+/PNPDB8+HP3798e+ffugppbjsWWIKBs8F37ftWvXoKmpiSZNmmS5/O7du/jy5Qvs7OwAAO/fv4e+vr4iI+ZZcTgGvL29MW7cONy/fx/Dhw+Hq6srDAwMxI5FRIVIob4n7Pr165g3bx5MTEwyLZNIJBg/fjy8vb3zJRzRv+3cuRPDhg3DiBEjsH//fhZgRKQQdnZ22RZgAPDTTz/JCjAASleAFRcNGzbE7du3sW3bNpw5cwbW1tZYuXIlny1GRKKQuwiLjY2Fubl5tsv19fVlI9UR5Zfff/8dP//8M8aNG4cdO3ZAVVVV7EhEVMQlJyfj0KFDWLt2Le/1KiJUVVXh5OSEgIAAjBw5EvPmzUONGjXw119/Qc6OQUREeSJ3EWZgYIAHDx5ku/zWrVswNDTMUyiif1u5ciUmT56MadOmYePGjVBRydV4MkREORYfH4+mTZtiyJAhmDZtGtq3bw9HR0f+oV5ElC1bFuvXr8fjx49Ro0YN9O7dG61atWJPHiJSGLn/mu3QoQOWLFkCLy8v2TyJRAJBEODm5oYFCxbwmRyULwRBgIuLC2bNmoUFCxZg1apVkEgkYsciomLgt99+g5+fH8aOHYstW7agV69eOH/+PLZv355hPUEQcPLkSbRu3VqkpJQX1apVw9mzZ3Hx4kV8/PgRjRo1Qv/+/fHq1SuxoxFRESf3wBwRERH46aefEBoaClNTU4SEhKBy5cqIiopCXFwczMzMcO/ePVSoUKGgMueb4nAjsrISBAGzZ8/GypUrsXz5csyePVvsSERFFs+FmTVs2BAtW7bE2rVrZfPGjx8PHx8f3LlzB9HR0di5cye2bt2K4OBgAN8eFKyseAwAqamp2L9/PxYsWIDIyEj8/PPPmD9/PgfvICpGCvXAHAYGBvDx8cHkyZOhqakJDQ0NhIeHw9DQEFOnToWPj49SFGBUeAmCgClTpmDlypVYt24dCzAiUrjXr1+jQ4cOGeaNHz8evr6+GD16NExMTDBr1ixER0fD2dn5u930STmoqalh5MiRCAgIwLJly3Do0CFYWlpi/vz5iImJETseERUxcl8JK0r4zV/hI5VKMXbsWOzYsQNbt26Fs7Oz2JGIijyeCzNTUVGBt7c3GjRoIJuXlJQkexZho0aN4OTkhP79+6NkyZJixcw3PAYyi46OhqurKzZu3AhNTU1MnToVkydP5udDVIQV6ithRAUlNTUVw4cPx65du7Bnzx4WYERUqGhpaQEATp8+jbt372LkyJFFogCjrJUpUwarVq1CYGAghg8fjmXLlqFy5cpwdXVFfHy82PGISMnl6EFLVapUkWunEokEr1+/zlUgKp5SUlIwaNAgnDhxAgcPHkT//v3FjkRElKXvPaaFih5DQ0OsX78e06dPh6urKxYtWoS1a9fil19+wfjx46Gnpyd2RCJSQjm6EhYXF4fPnz/Lpo8fP+LNmzd4+/YtPn36JHv95s0bxMXFQUNDo6BzUxGSnJyM3r1749SpUzh27BgLMCIqFDgaK/2bsbExNm3ahICAAPTp0weLFy+Gubk55s2bh48fP4odj4iUTI6KsI8fP+LDhw/48OED7ty5g0qVKmH37t2IiYlBTEwM4uLi8OHDB2zZsgX6+vo4d+5cQeemIiIxMRFdu3bFpUuXcPr0afTo0UPsSEREAIBZs2Zh+fLl+PvvvxEVFSV2HCokzMzMsGXLFgQFBWH06NFYv349zM3N8euvvyIsLEzseESkJOQemKNbt25o3bo1pkyZkuXyFStW4ObNm3B3d8+PfAWKNyKL6/Pnz+jatSvu3bsHd3d32Nvbix2JqFjiuTAzIyMjREREAPjfFTEzMzMEBwdj1qxZaNeuHerVq1dkuqLxGMi9qKgobNiwARs3bkRCQgIGDhyIqVOnonbt2mJHIyI5FeqBOa5fv4769etnu7xp06a4ceNGnkJR0RcTE4N27drB19cXf//9NwswIipUwsPDER4ejjNnzmDBggXo3Lkzvn79CkEQ4OrqCnt7e5QtWxaVKlVC9+7dsWjRIrEjk0jKlSuHxYsX4+3bt1ixYgU8PT1Rp04ddOjQAVeuXEExHoSaiL5D7iLs69ev3x10IygoCF+/fs1TKCraPn78CHt7e7x8+RJXrlxB8+bNxY5ERJSJgYEBHB0dsXDhQpw5cwZhYWEICwvD6dOnMX/+fHTq1Alfv37FmTNnsGTJErHjksh0dXXx66+/4vXr1zh48CAiIyPRtm1b1K9fH3v27MGXL1/EjkhEhYjc3RFbtWqFly9fYuvWrWjfvj1KlCgB4Ftxdu7cOYwdOxaWlpZKcTWM3S8U7927d2jbti0+fvyIy5cvs7sGUSHAc2HehIeHw8fHB126dBE7Sq7xGMh/giDA09MTa9euxfnz51G+fHk4OTlh7NixMDY2FjseEWVBkedCuYswb29v2NvbIyEhARKJRBYwLi4OgiBAU1MTHh4eaNasWYEEzk9sdBQrODgYbdq0QVJSEq5cuYKqVauKHYmIwHMh8RgoaAEBAdi0aRP27NmDpKQk9O7dG+PHj0ezZs04CidRIVKoizAACAsLw+bNm3Hr1i1ERERAEATo6+vjp59+grOzMywtLQsia75jo6M4r169Qtu2baGiooIrV66gcuXKYkciov/Hc2FmI0eOlGt9iUSCP/74o4DSFDweA4oRFxeHvXv3YuPGjXj16hVq1aoFZ2dnDBkyhJ87USFQ6IuwooKNjmI8efIEDg4O0NPTw+XLl2FiYiJ2JCL6F54LM1NRyXjLtEQiyXKAhfT5EokEaWlpioqX73gMKJZUKsWVK1ewbds2nD59GiVKlMCgQYPg5OSEBg0aiB2PqNhS5LlQrUD3TsWet7c32rdvD1NTU1y6dAn6+vpiRyIi+qHHjx/Lfo6Pj8eYMWPQoEED9O7dGyYmJpBKpQgKCsKxY8cQGBgINzc3EdOSslFRUYGDgwMcHBwQFhaGP/74Azt27MCOHTtQv359jB49GgMHDkTp0qXFjkpEBUTu0RGJcsrLywv29vawtrbG1atXWYARkdKoWbOmbDpw4ADatm2LvXv3wtHREfXq1UODBg3Qq1cvuLm5oW7duli7dm2u3ys4OBjDhg2DoaEhNDQ0YGpqigkTJuDTp0852l4qlWLVqlUoUaIEypcvn+scJA5jY2MsWLAAb968gbu7O8zNzTFp0iQYGhpi8ODBuHr1KqRSqdgxiSifsQijAnHp0iW0b98eDRs2hIeHB8qUKSN2JCKiXPnrr7/QqVOnbJf37dsXJ06cyNW+P3z4gKZNm8LDwwOurq74559/MGfOHBw8eBD29vY/fOTL69ev0bJlS7i6ukJNjZ1blJmamhocHR1x8uRJhIaGwsXFBffu3YO9vT0sLCywYMECvHr1SuyYRJRPWIRRvjt58iS6dOkCe3t7nDt3DqVKlRI7EhFRrn369Anx8fHZLk9MTMzxVav/Wrp0KcLDw3H06FEMHz4ctra2GDt2LDZv3gw/Pz/s2LHju9s7OjpCIpHAz8+PV8GKEAMDA8yYMQMvXryAl5cX2rZtiw0bNsDKygrNmjXDjh07EB0dLXZMIsoDFmGUr/bt24fevXuje/fuOHHiBLS0tMSORESUJ1ZWVli1ahU+fPiQadmHDx+wbNmyXI/4euTIEVhbW2d6aH2fPn2gra39w3vNZsyYgX/++QdmZma5en8q3CQSCZo3b46dO3ciIiIChw8fhp6eHsaOHQsDAwP06NEDx44dQ1JSkthRiUhOOSrC6tatiwcPHgAAqlSpgqdPnxZoKFJOv//+O4YPH45Ro0bh0KFD0NDQEDsSEVGezZo1C3fu3IGpqSmaNm2Knj17omfPnmjevDlMTEzg4+ODX3/9Ve79hoWFITIyEnXr1s20TF1dHdWrV4evr+937wcaMWIEVFVV5X5vUj5aWlro378/zp8/j9DQUKxatQrh4eHo27cvKlasiGHDhuHixYtISUkROyoR5UCOijB/f3+8fv0aAPDmzZsf9lGn4kUQBLi4uGDy5MmYPn06tm/fzj8KiKjIGDRoEE6ePIkGDRrAx8cHp06dwqlTp3Dnzh3Url0b+/fvx5gxY+Teb0REBABkO2iRvr4+kpKSEBMTk5f4WUpOTkZcXFyGiZSHoaEhJk+ejLt37yIgIADTpk3D3bt30bFjRxgYGGDMmDG4dOkSCzKiQixHd/FWrVoVgwYNwvTp0wEAXbp0+e5VDolEIivaqGiTSqWYOnUq1q9fj+XLl2PWrFmQSCRixyIiylfdunVDt27dkJqaio8fP0IQBJQrVy5PV/wTExMBINt9aGpqytYrW7Zsrt8nK66urnBxccnXfZI4LC0tsWDBAsyfPx8PHz7EsWPHcPToUezatQvlypVDz5490atXL7Ru3Zo9VIgKkRxdCdu+fTvq168PiUQiezDl9yYOpVo8pKamYtSoUVi/fj02b96M2bNnswAjoiLhypUrSE1NzTRfTU0NBgYGsuHk86JkyZIAkG3vkuTkZACAtrZ2nt4nK7Nnz0ZsbKxsCgkJyff3IMWSSCSoX78+li9fjoCAAPj4+GDMmDG4cuUKOnToAH19fQwZMgQnT56UfQFAROLJ0ZUwW1tb3LlzB8C3Bwy6u7vzie7FXFJSkqxv+oEDBzBo0CCxIxER5RsHBwfo6urCwcEBXbt2RceOHfN99EFjY2MA/+uW+F/h4eHQ1taGnp5evr4v8O0qW/qVNip6JBIJGjRogAYNGmD58uV49OgRTpw4gRMnTuDAgQPQ0tJChw4d0LVrV3Tu3BkVKlQQOzJRsSP36IhXr15F1apVCyILKYnY2Fh06NABHh4eOH36NAswIipyvLy84OzsDH9/f9mDlG1tbbFixQo8fvw4X97DwMAAJiYmsoGv/i0pKQn+/v5o3LgxVFQ4kDHlnkQiQd26deHi4oLHjx/jxYsXWLBgASIiIjBy5EgYGBigRYsW+O233/DixQux4xIVGxJBEITcbOjh4QFPT0+EhYVBIpHAzMwMHTp0QLNmzfI7Y4GJi4uDnp4eYmNjoaurK3YcpRAREYEOHTrg7du3OHv2rFL99yairPFc+H1BQUE4ffo0zp49Cy8vL6SmpsLU1BRdunSBo6Njnu61mT17NlasWAFPT0+0bt1aNn/btm0YO3Ys9uzZg+HDh+doX5UqVUJ8fDw+fvwodw4eA8VTREQEzp07hzNnzsDDwwNJSUmwtLREp06d0LlzZ9jZ2fGKKRUrCj0XCnJKSkoS2rdvL6ioqAgSiSTDpKKiIvTv319IS0uTd7cyMTExwpAhQwQAQq9evbJc5/Hjx0KPHj2EcuXKCerq6oKFhYUwZ84cISkpSa73io2NFQAIsbGxuc5bnLx+/VqwsLAQjIyMhMePH4sdh4jyCc+FORcbGyu4ubkJAwcOFMqWLStIJBKhVKlSQvfu3XO1v5iYGMHCwkKoWLGisHv3buHmzZvC2rVrhZIlSwp2dnay9nTfvn2CqqqqsHnzZtm2cXFxwv3792WToaGhoKenl2FecnJyjn8vHgPFW0JCguDu7i44OzsLpqamAgBBW1tb6Natm7Bt2zYhKChI7IhEBU6R58Ic3RP2b8uWLcPly5cxfvx49OzZU9anPSQkBMePH8eOHTvQqFGjXD0z5fLlyxgxYgSE71yc8/f3h62tLYyNjbFlyxaYmJjAy8sLCxcuxIMHD3D+/Hm535d+zM/PDx06dICOjg5u3ryJSpUqiR2JiKjApKWlZfmoDV1dXfTr1w/9+vVDWloabt68iTNnzuDs2bO5eh89PT3cuHED8+bNw5w5cxAVFQUTExNMmjQJ8+fPl3VFlEqlSEtLyzDwlY+PT4arZ+kaNWok+zkoKIjna8qRkiVLwtHREY6OjhAEAU+ePMG5c+dw7tw5jB8/HmlpaahatSo6dOiA9u3bw87OTja4DBHJT+7uiNWrV0ffvn2zHdp2xowZ+Pvvv+Hn5ydXkIiICBgZGeHnn3/GpEmTULNmTfTq1QvHjx/PsF63bt1w4cIFvHjxApUrV5bNX758OebOnQt3d3c4Ojrm6D3Z/SJnPD090aNHD1haWuLChQvZPtOGiJQTz4WZaWlpoW7durCxsZFNtWrVKrLPQOQxQN8TExMDT09PXLx4ERcvXkRISAg0NTXRrFkztG3bFg4ODqhfv36R/f+Dig9Fngvlvtv3zZs3aNWqVbbL27Vrh1evXskdRF1dHSdOnMC2bduy/Wbl8+fPOH/+PFq3bp2hAAOAESNGAADc3Nzkfm/KnpubGzp06IAmTZrgn3/+YQFGRMVCjx49EBMTg23btmH06NFo0KABdHR08NNPP2HcuHH4448/8PDhwyyHsScqakqXLo2ePXtix44dePv2LZ4+fYqVK1dCS0sLy5YtQ6NGjaCvr48+ffpg69atePHixXd7NRFRDoeoz7CBmhoSEhKyXZ6ampqrZ0WVK1cO3bt3/+46jx49QmpqKurWrZtpmaGhIcqXL4/79+/L/d6UtfXr1+OXX37B4MGD8ccff/Ahj0RUbBw6dAjAty//fH194ePjAx8fH3h7e2P79u0QBAESiQQaGhqoXbs2GjZsiC1btoicmqjgSSQS1KhRAzVq1MDkyZPx9etX3L17F5cvX4aHhwcmTZqE1NRUGBkZwd7eHvb29mjVqhUqVarEZ4kS/YvcRVjNmjXh5uaWbZe/AwcOoGbNmnkOlpX0Z6lkdzVGX1//uw+cTE5Olj38Evh2yZEyk0qlmDlzJlavXo0ZM2bA1dWVQyQTUbGko6MDOzs72NnZyeZ9/vwZDx48gJ+fH+7duwc3Nzf4+PiwCKNiSUNDAy1atECLFi3g4uKCz58/48aNG7h69So8PT1x8OBBCIIAU1NT2f9LdnZ2sLS0ZFFGxZrcRZiTkxNGjRqF0NBQ9O7dG6amphAEAcHBwThy5Aju3LmDffv2FURW2RPes7sio6mp+d2nwLu6umZ7Lxt9k5ycjJEjR+Lw4cNYv349Jk+eLHYkIqJCRUdHB9WqVcOlS5dw4cIFpKWloU6dOmLHIioUdHR00LFjR3Ts2BEAEB0dDS8vL1y7dg3Xrl3DoUOHIJVKYWhoiObNm8sKuNq1a/OeMipW5C7CRowYgdevX2PVqlW4fv267FsMQRCgqamJpUuXYvDgwfkeFIDsXrGvX79muTw5ORna2trZbj979uwMozbGxcXB1NQ0f0MqsejoaPTo0QN37tyBm5sb+vbtK3YkIqJC5fnz51i9ejUOHjyI5ORktG3bFtOmTUO7du3EjkZUKJUpUwZdu3ZF165dAQCxsbG4efMmrl+/Di8vL0ydOhUpKSnQ1dWFra0tmjVrBltbWzRu3BilSpUSOT1RwZG7CAOApUuXYsKECbhy5QpCQ0MhkUhgbm6ONm3aoHz58vmdUSZ9OPz0bon/FR4eLlsnK5qamnzoYDaCgoLQqVMnvH//HpcvX0bz5s3FjkREVGj8888/WL16NS5evAhVVVX069cP06ZN4xUwIjnp6emhU6dO6NSpEwAgKSkJ9+/fx40bN+Dl5YXVq1cjNjYWKioqqFu3LmxtbWFra4smTZqgcuXK7MJIRUauijAAMDAwwKBBg/Izyw/VqVMHmpqaePDgQaZlgYGBiImJQY8ePRSaqSi4f/8+HB0dUapUKdy+fRvW1tZiRyIiEp1UKsXRo0exZs0a+Pr6QkdHB7/88gumTJny3S/8iCjntLS00LJlS7Rs2RLAt//v/P39cevWLdy8eRN///03Nm/eDACoUKECmjRpgiZNmuCnn35Cw4YNoaenJ2Z8olzLdREmhpIlS6JHjx44duwYXr16BUtLS9myHTt2AACGDh0qVjyl5O7ujv79+6NOnTo4c+YMKlSoIHYkIiLRrV+/Hhs2bEBwcDCMjY2xatUq/Pzzz9DR0RE7GlGRpqKigpo1a6JmzZoYM2YMAODjx4+4e/cu7ty5g7t372LlypWIi4uDRCJB1apV0bhxY9mU/oU9UWEn98OaC0p4eDjCw8MBAO/evUPXrl1hb2+PlStXAvjWlbB27dp4+/YtGjZsiDJlymDp0qUwNjbGpUuXsGzZMgwcOBD79+/P8XsW54dTCoKA9evXY9q0aejevTsOHDgALS0tsWMRkQiK87kwOyoqKlBRUcGoUaOwePFiVKxYUexIBYrHACkTqVSK58+f4/79+7h37x7u3bsHPz8/pKSkQF1dXfbYiPSpZs2afMwO5Ygiz4WFpghbtGjRd0cuNDc3x5s3bwAAAQEBmDdvHq5cuYLPnz+jSpUqGD58OKZNmybXyDrFtdFJSUnBhAkTsGPHDg5BT0TF9lz4PUZGRrL7jyUSCYyMjGBjY4MGDRrI/jU0NBQ5Zf7hMUDKLjk5GX5+fvD29pZNz549Q1pamux5fg0aNJBNtWvX5pfPlEmxLMLEUBwbnejoaPTu3RteXl7Yvn07RowYIXYkIhJZcTwX5kRERAS8vb1lD2r28fHBu3fvZAMDVKxYUVaU2djYyEZ/U0Y8BqgoSkxMlBVmDx48gK+vL54+fYrU1FSoqqqiWrVqqFevXoapIAeYo8Kv0BdhISEhRWJo9+LW6AQEBMDR0REfP37EiRMnMjx8lIiKr+J2LsyLd+/e4f79+7KizNfXFxEREZBIJEhLSxM7Xq7xGKDi4suXL3jy5Al8fX3x8OFDPHz4EH5+frLnzBoZGaFu3bqoU6eO7N+qVatCTU2phlGgXCr0RVjJkiUzPBR56NChWL58OUxMTPI1XEErTo2Op6cnevfuDX19fZw9ezbDoCbpEhISZM/kiI+P/+4z14io6ChO58KCEB4eDh8fH3Tp0kXsKLnGY4CKs7S0NLx+/RoPHjzAo0eP4Ofnh0ePHiEkJAQAoKGhgerVq6N27dqoXbs2atWqhdq1a8PExIRD5hcxijwX5qisr1atGn766SfZyDP/deDAAUybNk3pirDiQBAE/P7775g6dSrs7e1x5MgRlClTRuxYRESF2siRI+VaXyKRKHURRlScqaqqwtraGtbW1ujXr59s/qdPn/D48WM8evQIjx8/xuPHj3Hq1CnEx8cDAHR1dWUjOdaqVUv2s4GBAYsz+qEcXQnz9fWVjT5z7949+Pv7o0mTJrLnOnTu3Bl+fn6oXbu2IjLnm6L+zd+XL1/g7OyMffv2YerUqVixYsV3L6fzShhR8VTUz4W58d/BiiQSCbJqLtPnszsiUfEglUoRHByMx48f4+nTp7LJ398fX758AQCULl0a1atXR40aNTL8a2ZmxoHQCrlC3x1RS0sLp06dwrVr13D9+nXcunULpqamsLW1RdOmTdGkSZMsr5gVNkW50QkPD0ePHj3g5+eHXbt2YfDgwT/chkUYUfFUlM+FufX06VPZz/Hx8RgzZgwaNGiA3r17w8TEBFKpFEFBQTh27BgCAwPh5uaGKlWqiJg4b3gMEOVNWloaAgMDZQWZv78/nj17Bn9/f9ktPFpaWrC2tkb16tVRrVo1VK1aFdWqVYOVlRX/5iokCn0R9t97wlRUVPDnn38iPj5edrXs8ePH+Rq0IBTVRuf27dvo2bMn1NTUcPLkSTRs2DBH27EIIyqeiuq5ML9MnDgR6urqWLt2bZbLx4wZA01NTWzatEnByfIPjwGigpF+5ez58+eyKb1I+/Dhg2w9U1NTVK1aFVWrVoW1tTWsrKxgbW0Nc3NzDgqiQIWuCDty5AgaN26MypUrA8i6CHv48CHq1KlTcEkLQFFrdARBwObNm/Hrr7+icePGOH78OAwMDHK8PYswouKpqJ0L85uRkRH279+Ptm3bZrncw8MDw4YNQ3h4uIKT5R8eA0SKFx0djRcvXmSaXr16heTkZACAuro6qlSpAisrK1hZWcHS0lL2r5mZmVzPx6UfK3QDcxw8eBBTpkxBWloaGjVqhNTUVFy6dAnNmzdHyZIlCzQg5Ux8fDx+/vlnHD58GFOmTMGqVaugrq4udiwiIqX36dMn2Y34WUlMTMSnT58UmIiIioIyZcqgSZMmaNKkSYb5UqkUISEhePnyJQICAmSF2dmzZxEUFITU1FQA3wq0ypUrw8LCApaWlrCwsJBNlSpV4sOoCzm5uiMGBwfj7t27GDhwIBo2bIjHjx+jTp06uHv3LlatWoXu3bvDwsKiIPPmq6Lyzd/z58/Rq1cvvH37Frt370bfvn1ztR9eCSMqnorKubCg1K5dGzo6Ojh9+jQqVKiQYdmHDx/QuXNnfP78Gf7+/iIlzDseA0TKITU1FW/fvkVAQABev36NV69e4fXr17Ip/QoaABgbG6NKlSqoUqUKKleuLPu3cuXKMDQ05CAhWSh03RH/K707YmJiIm7evIn27dujefPmsv/4DRs2xMWLFwsib74qCo3O0aNHMWrUKJiamuKvv/5C9erVc70vFmFExVNROBcWpIMHD2LIkCHQ0NBA/fr1YWhoCAB4//497t+/j9TUVGzbtg1jxowROWnu8RggUn5SqRTh4eEIDAxEYGAgXr9+Lfs3KCgI79+/l62rqakJc3NzVK5cGZUqVco0VaxYsVgOs1/ouiP+V3rdVrJkSTg4OAAANm3ahDp16iA0NBTe3t75l5CylJSUhKlTp2Lr1q3o378/du7cKSugiIgo/wwaNAilSpXCypUr4e3tLesKpKKignr16uGXX37BoEGDRE5JRMWdiooKTExMYGJigpYtW2ZanpCQgKCgoAzTmzdvcPfuXRw5cgQxMTGyddOLtP9OZmZmMDMzg4mJCW97yaNcFWFRUVEZXs+cORMVK1YEABgaGkJHRyfvyShb/v7+6NevH16+fImtW7fCyckp37+tCAsLg7W1db7uk4hIWXXr1g3dunVDamoqPn78CEEQUK5cOWhoaIgdjYgoR7S1tVGrVi3UqlUry+UxMTF48+YN3r59K5vevHkDX19fnDp1Ch8/fpStK5FIYGRkBFNTU5iamsLMzEz2r4mJCUxNTaGvr88uj9+RqyLsv4NxzJgxA+fPn4e7uzv+/vtvxMXFKfVDKwsrQRCwe/duTJw4EZUqVcL9+/fz9QHZ+/btk/1cvXp17NixA6NGjcq3/RMRKTs1NTW5Rp0lIlIWpUuXRr169VCvXr0slycmJiIkJARv375FcHAw3r59i5CQEISEhODBgwcICQnJcE+auro6jI2NZYWasbGx7Epd+lSxYsViO8Jjru4JA4CXL1/C3d0d7u7uuHXrFlJTU1G5cmV07twZXbp0kXVTLMyUqQ98bGwsnJ2d4ebmhjFjxmD9+vX5OjJlaGgozM3NIZVKZfNUVVXx5s0bmJiY5Nv7EFHho0znQioYPAaIKK8EQcCHDx8QEhKC0NDQDP+GhIQgLCwMoaGh+Pr1q2wbVVVVGBgYwMjICMbGxhkmIyMj2XxdXV2F3KNWKO8Jk0qluHHjhqzwCggIgIqKCpo0aYIlS5agS5cuqFGjRkFmLbb++ecfDBs2DDExMXBzc0O/fv3y/T0CAgIyFGDAt6e/v3r1ikUYEREREX2XRCKBvr4+9PX1YWNjk+U6giDg48ePCAsLQ0hICMLDwxEWFiabrl27hvDw8EyP/ShZsiQMDQ1hZGSU4d//TmXKlFGaAUVyVIQNHjwYFy5cQExMDHR1ddG+fXvMmzcPnTp1QtmyZQs6Y7H15csXzJkzB+vWrYOdnR327t2LSpUqFch7WVlZQUVFJdOVMEtLywJ5PyIiIiIqXiQSCSpUqIAKFSpk2+0R+DYA3bt37xAWFiYr1N69eyebHj16hPDwcMTFxWXYTlNTEwYGBrLJ0NAww+uKFSvK/hX7OWo5KsLu37+P4cOHw9HRES1atICaWq5uJSM5+Pr6YsiQIXj9+jXWrFmDKVOmFOjNjSYmJti4cSPGjx8P4FsBtn37dl4FIyIiIiKF0tLSkj3j7HsSExMRERGRoUBLfx0REYG7d+/i3bt3eP/+faYeXzo6OqhYsWKGqXTp0gX4W2WU63vCioLC2Ac+JSUFK1euhIuLC2rXro0///wTNWvWVMh7//s5YS9evODoiETFRGE8F5Ji8RggoqIsLS0NUVFRiIiIQEREBCIjI2X//nt69+4dPnz4ULjuCaOC5+3tjVGjRuHp06eYNWsWFixYINrwx8bGxqK8LxERERFRflJVVZXdr1anTp1s10v/QkoROHh/IZCQkIBp06bhp59+gqqqKu7fv4+lS5fy+TNEREREREUQi7ACkJCQAIlEAolEgoSEhO+ue+XKFdSuXRubN2/G8uXLce/ePdSvX19BSYmIiIiISNFYhIkkPDwcgwYNQtu2bWFmZoZHjx5h5syZHPSEiIiIiKiIYxGmYCkpKVizZg2qVq2KS5cuYdeuXfD09ISVlZXY0YiIiIiISAF42UWBrl69igkTJuD58+cYN24cFi9ejDJlyogdi4iIiIiIFIhXwhTg1atX6NOnD+zt7VGmTBn4+Phg48aNLMCIiIiIiIohFmEFbPr06ahRowbu3LmD/fv3w8vL67tPCCciIiIioqKN3RELQGJiouznAwcOYMmSJZg0aRK0tLRETEVERERERIUBi7B89OXLF/zxxx9YtmyZbN6lS5fQpEkTEVPlnLa2NgRBEDsGEREREVGRxu6I+eDLly/YtGkTLCwsMGnSJJiYmMiWNWvWDH/88YeI6YiIiIiIqDBhEZYHSUlJsuJr8uTJaNOmDa5evQofHx/ZOlKpFE5OTggNDRUxKRERERERFRYswnLh/fv3WLhwIczMzDB58mS0bdsW/v7+2L9/P9LS0iCVSjOsn5aWhlevXomUloiIiIiIChPeEyYHf39/rF27Fn/++SdUVVUxcuRITJkyBRYWFrJ1rKysoKKikqEQU1VVhaWlpRiRiYiIiIiokOGVsB9ITU3F6dOn0bFjR9SoUQPnzp3DwoULERISgo0bN2YowADAxMQEGzdulL1WVVXF9u3bM9wnRkRERERExRevhGXj7du32LVrF3bv3o3w8HA0btwYe/fuxYABA6ChofHdbYcNG4bx48cDAJ49ewZra2tFRCYiIiIiIiXAIuxfEhIS4O7ujv379+PixYsoVaoUBg8ejJ9//jnXD1g2NjbO35BERERERKTUWIQB8PDwwKlTp3Dy5EkkJCSgSZMm2LFjB/r3749SpUqJHY+IiIiIiIoQFmEAevfujWrVqmHWrFkYOHAgqlSpInYkIiIiIiIqoliEAbh+/TqaN28OiUQidhQiIiIiIiriODoigLp167IAIyIiIiIihVDaIiw4OBjDhg2DoaEhNDQ0YGpqigkTJuDTp09iR4O2tjYEQYAgCNDW1hY7DhERERERFSJK2R3xw4cPaNq0KQRBgKurK6ytreHn54c5c+bgxo0buHfv3g+HkSciIiIiIhKDUhZhS5cuRXh4OLy8vNC8eXMAgK2tLfT09DBo0CDs2LEDEyZMEDklERERERFRZkrZHfHIkSOwtraWFWDp+vTpA21tbbi5uYmUjIiIiIiI6PuUrggLCwtDZGQk6tatm2mZuro6qlevDl9fX0ilUhHSERERERERfZ/SFWEREREAAH19/SyX6+vrIykpCTExMZmWJScnIy4uLsNEREQkprwMNJWUlIQ5c+bAysoKGhoaKFeuHHr27ImnT58qIDkREeWW0hVhiYmJAJDtwBuampoZ1vs3V1dX6OnpySZTU9OCC0pERPQD6QNNeXh4wNXVFf/88w/mzJmDgwcPwt7eHl+/fs12W0EQ0L17d6xZswbDhw/H1atXsWPHDrx48QLNmjXDy5cvFfibEBGRPJRuYI6SJUsCQLYNU3JyMgBkOTT87Nmz8euvv8pex8XFsRAjIiLR5GWgqVOnTuHSpUtYunQp5s6dK5vfsGFDWFlZYc6cOTh+/LhCfg8iIpKP0l0JMzY2BvC/bon/FR4eDm1tbejp6WVapqmpCV1d3QwTERGRWPIy0FT6shEjRmSYb25ujtatW+PMmTNZ9gohIiLxKV0RZmBgABMTEzx48CDTsqSkJPj7+6Nx48ZQUVG6X42IiIqRvA405evriwoVKsDIyCjTsjp16iAlJQV+fn75npuIiPJO6bojAsDgwYOxYsUKXL16Fa1bt5bN37dvH5KTkzF06NAc7UcQBADgAB1EVKylnwPTz4mkGDkZaMrb2xsxMTEoW7Zsltubm5tnuy0AvHv3LsvlycnJsu77ABAbGwuA7SERFW+KbA+VsgibNWsWjh07hgEDBsDV1RVVq1bF3bt3MW/ePNjZ2eW4CPv8+TMA8L4wIiIAUVFRWXblpoIhz0BTWRVhiYmJuRqkCvg2UJWLi0um+WwPiYgU0x4qZRGmp6eHGzduYN68eZgzZw6ioqJgYmKCSZMmYf78+TnuimhkZISQkBDo6OhAIpEUcOr8kz6gSEhICO9rUxB+5orFz1uxYmNjYWZmluUf+lRw8jLQVPr2ud32vwNVSaVSfPr0CeXKlWN7SN/Fz1yx+HkrliLbQ6UswoBv94bt2rUrT/tQUVGBiYlJPiVSPA4uonj8zBWLn7di8V5axcrLQFPp239v23+/x39pamrKrpalK126dE5iF0o8VygeP3PF4uetWIpoD9niEhERiSCvA001atQIUVFRCAkJybTMx8cHWlpaqFOnTr7nJiKivGMRRkREJJLBgwcjMDAQV69ezTA/JwNNDR48GAAy9Qp5+vQpbt68ib59+6JEiRL5H5qIiPKMRZgS0tTUxMKFCzN1JaGCw89csfh5KxY/b/HMmjULFhYWGDBgAPbs2YNbt25h3bp1mDp1aoaBpvbv3w81NTVs2bJFtm379u3Ru3dvLF++HEuWLMHNmzfh5uaGLl26QF9fH8uWLRPr11IYHruKx89csfh5K5YiP2+JwDGJiYiIRBMREYF58+bh3LlzsoGm+vXrh/nz58sG79i7dy9GjBiBjRs3YsKECbJtv379ihUrVuDAgQN48+YNypQpg3bt2mHJkiWoVKmSSL8RERH9CIswIiIiIiIiBWJ3RCIiIiIiIgViEUZERERERKRALMIKmdjYWAwdOhQSiQS9e/fO8XZJSUmYM2cOrKysoKGhgXLlyqFnz554+vRpAaZVfrn5vPfu3QuJRJLttGLFigJOrZwCAwMxfPhwGBgYQFNTExYWFujfvz9evnyZo+15jMsvL585j3MSG9tDxWObqBhsDxWvMLaHSvuw5qLo8uXLGDFiBOS9TU8QBHTv3h3//PMPFixYgFatWiEiIgILFixAs2bNcO/ePVhbWxdQauWV28873bZt22BjY5NpvjI/ALygPHv2DLa2ttDT08PixYtRrVo1PHjwAC4uLvDw8MDDhw9hamqa7fY8xuWX1888HY9zEgPbQ8Vjm6gYbA8Vr9C2hwIVCu/evRMkEong5OQkPH36VAAg9OrVK0fbnjhxQgAgLF26NMP8N2/eCOrq6jneT3GSl897z549AgDh6tWrBRuyCOnevbsgkUgEf3//DPP3798vABDmzp373e15jMsvr585j3MSC9tDxWObqDhsDxWvsLaH7I5YSKirq+PEiRPYtm2bbEjinHJzcwMAjBgxIsN8c3NztG7dGmfOnEFiYmK+ZS0K8vJ5k/ycnJxw6NAhVKtWLcP8hg0bAgCCgoK+uz2Pcfnl9TMnEgvbQ8Vjm6g4bA8Vr7C2hyzCColy5cqhe/fuudrW19cXFSpUgJGRUaZlderUQUpKCvz8/PKYsGjJy+dN8uvQoQP69++faX56//UqVap8d3se4/LL62dOJBa2h4rHNlFx2B4qXmFtD1mEFQERERHQ19fPcln6/Hfv3ikyUrFw/PhxNG7cGFpaWtDW1oatrS2OHDkidiyl8eHDB0ybNg26urqYOHHid9flMZ4/5PnM0/E4J2XCc4V4eK7IPbaHilcY2kMWYUVAYmIiNDQ0slymqakpW4fyl7e3N3755RdcvXoV27dvR1xcHPr374/Vq1eLHa3QCw8PR/v27REWFgY3N7dsG5R0PMbzTt7PPB2Pc1ImPFeIh+eK3GF7qHiFpj3M1zvMKF8EBQXJdVNsqVKlhJo1a2a5bNWqVQIA4cSJE/kZsUiR9/NOTEwU3r17J6SmpmaYHx0dLRgaGgpaWlrC58+fCyJqkeDj4yMYGxsLpUqVEi5cuJCjbXiM501uPnMe51QYsD1UPLaJisP2UPEKU3vIK2FFgLGxMSIiIrJcFh4eLluH8oeWlhYMDAygqqqaYX7p0qXRoUMHJCUl8Vkd2XB3d0eLFi1QokQJ3L59Gx06dMjRdjzGcy+3nzmPc1JGPFcoHs8VucP2UPEKW3vIIqwIaNSoEaKiohASEpJpmY+PD7S0tFCnTh0RkhVdycnJWc5PSEgA8O1/WMro3Llz6N27Nxo2bIh79+6hVq1aOd6Wx3ju5OUzB3ick/LhuUIcPFfIh+2h4hXG9pBFWBEwePBgAMCuXbsyzH/69Clu3ryJvn37okSJEmJEK5KaNWuGihUr4tOnTxnmv3//HpcvX4ahoSFq1qwpUrrC6dmzZ+jTpw+aNGmCixcvomzZsnJtz2Ncfnn9zHmckzLiuULxeK6QD9tDxSu07aHcHRipQISFhQn3798X7t+/L5w5c0YAINjb28vmPXr0SBAEQdi3b5+gqqoqbN68OcP2vXv3FtTU1ITFixcLN27cEA4fPixUrlxZMDAwEEJDQ8X4lQq1vHzeZ8+eFdTU1IRatWoJ+/fvF7y8vIS9e/cK1tbWgqqqqnD8+HGxfq1Cy97eXlBVVRVOnjwp+4z/PaV/3oLAYzy/5PUz53FOYmF7qHhsExWH7aHiFdb2kEVYIbFw4UIBQLaTubm5IAj/e2r3xo0bM2yfnJwsuLi4CFZWVoK6urqgr68vDB48WAgKClL8L6ME8vp537p1S+jatatQtmxZQVVVVShfvrzQtWtX4datWyL8NoXf9z7rf3/egsBjPL/kx2fO45zEwPZQ8dgmKg7bQ8UrrO2h5P/DERERERERkQLwnjAiIiIiIiIFYhFGRERERESkQCzCiIiIiIiIFIhFGBERERERkQKxCCMiIiIiIlIgFmFEREREREQKxCKMiIiIiIhIgViEERERERERKRCLMCIiIiIiIgViEUZERERERKRALMKI/sPIyAgSiSTTVLp0adjY2GDBggX4/Pmz3PsdPnx4hv3duXNHIe+blWrVqmV4DyIiov9ie0hUcNTEDkBUmLx79w7v3r1DmzZtsGLFigzLPn78iIsXL2Lp0qU4c+YMbt++DS0tLbnf4/79+wCA6tWrK/R9/+2vv/5CUlISXFxccPbs2Tzti4iIih62h0QFi0UY0b94e3sDAFq1aoWGDRtmWt6hQwekpKRgy5Yt+OuvvzB48GC53yOr/Sriff+tZs2aAIBy5crlaT9ERFQ0sT0kKljsjkj0Lz4+PgAAGxubbNepVasWACAiIkLp35eIiCgrbA+JChaLMKJ/ST/5Z/XtW7qrV68CAOrUqaP070tERJQVtodEBYvdEYn+xcfHB2ZmZqhQoUKG+YmJiQgKCsKWLVtw7NgxdOjQAQ4ODkr/vkRERFlhe0hUsFiEEf2/8PBwvHv3DgCyHCFJTU0N9evXx6ZNm+Ds7JxvoyiJ9b5ERERZYXtIVPBYhBH9v/SbgWfOnIn+/fvL5r99+xbdu3fHkCFDsHv37kL7vhcuXEBQUBAiIyNhZGSEDh06wNzcPN/zEhFR0cb2kKjg8Z4wov+X3g+9ffv2qFevnmzq1q0bGjVqhMOHDyMqKirTdvPmzcPAgQMxbtw4lClTBubm5jh16lSBv2+61NRUzJgxA+XLl8e4ceNQuXJljBkzBhcvXpQrBxEREcD2kEgRWIQR/b/0k3+9evUyLXNycsKXL1+wc+fOTMv8/f3h4eGBLl26ICoqCpMmTcKoUaOQlpZWoO+bbvXq1XB2dkajRo1k81RUVODk5ITQ0FA8e/YsRzmIiIgAtodEisAijOj/+fj4wNTUFGXKlMm0rH///tDV1cXWrVszNSaPHz/GxIkT0bFjR6ioqKB79+749OkTwsPDC/R9ASApKQlpaWmoUqVKlvt2dnbGiRMncpSDiIgIYHtIpAgswogAhIWFISIiIstv3wBAW1sbgwYNQnBwcIYuDUlJSXj9+jW6desmm/flyxcAgJaWVoG9b7qnT5+idevW2e5fTU0NpUuX/mEOIiIigO0hkaJwYA4i/K8LRN26dbNdx8nJCVu3bsXvv/+OXr16Afh20pdKpahatapsPX9/f5QvXx7ly5cvsPdNJ5FIcPnyZTx69Eg27/bt27KGDwBCQkJ+mIOIiAhge0ikKCzCiAB07doVgiB8d526detmWufx48eQSCRQUfnfReULFy6gbdu2Bfq+6WrWrInExES0aNFCNq9EiRIYPny47LWnp2eOshAREbE9JFIMdkckyoPHjx+jdOnS2LZtG6RSKTw9PXHw4EFMmjRJIe9fokQJJCYmIiUlJcvlz58/h5mZmUKyEBFR8cX2kEg+LMKI8uDx48f49ddf4eXlBT09PYwdOxYHDhxA06ZNs93G29sb3t7eSEhIyJcMbdq0gZubG0JDQzPMd3d3x/v372FpaZlpm6dPn8Lb2/u7Q/0SERHlFNtDIvlIhB9d+yWibBkYGGDPnj3o2LHjD9cdPnw49u3bJ3t9+/ZtNGnSJN+yeHp6Ijg4GKGhoTA3N4ednV223/pVq1YNL168kL3maYCIiPKC7SGRfFiEEeXShw8foK+vj+DgYJiamoodh4iISBRsD4nkx+6IRLn0+PFj6OnpscEhIqJije0hkfx4JYyIiIiIiEiBeCWMiIiIiIhIgViEERERERERKRCLMCIiIiIiIgViEUZERERERKRALMKIiIiIiIgUiEUYERERERGRArEIIyIiIiIiUiAWYURERERERArEIoyIiIiIiEiBWIQREREREREpEIswIiIiIiIiBWIRRkREREREpEAswoiIiIiIiBSIRRgREREREZECsQgjIiIiIiJSIBZhRERERERECsQijIiIiIiISIFYhBERERERESkQizAiIiIiIiIFYhFGRERERESkQCzCiIiIiIiIFIhFGBERERERkQKxCCMiIiIiIlIgFmFEREREREQKxCKMiIiIiIhIgViEERERERERKRCLMCIiIiIiIgViEUZERERERKRALMKIiIiIiIgUiEUYERERERGRArEIIyIiIiIiUiAWYURERERERArEIoyIiIiIiEiBWIQREREREREpEIswIiIiIiIiBWIRRkREREREpEAswoiIiIiIiBSIRRgREREREZECsQgjIiIiIiJSIBZhRERERERECsQijIiIiIiISIFYhBERERERESkQizAiIiIiIiIFYhFGRERERESkQCzCiIiIiIiIFIhFGBERERERkQKxCCMiIiIiIlIgFmFEREREREQKpCZ2ADFJpVKEh4dDR0cHEolE7DhERKIQBAGfP3+GkZERVFT43VxxxPaQiEix7WGxLsLCw8NhamoqdgwiokIhJCQEJiYmYscgEbA9JCL6H0W0h8W6CNPR0QHw7YPW1dXNdr3ly5djz549CAgIUFQ0IiKFiYuLg6mpqeycSMVPTttDIqKiTJHtYbEuwtK7XOjq6n630alfvz5WrlyJ1NRUlC1bVlHxiIgUit3Qiq+ctodERMWBItpDdv7PgRo1agAA/P39RU5CRERERETKjkVYDlhbW0NFRQXPnj0TOwoRERERESk5FmE5oKmpCUtLSxZhRERERESUZyzCcqhGjRoswoiIiIiIKM9YhOVQjRo1eE8YERERERHlGYuwHKpRowZCQkIQFxcndhQiIiIiIlJiLMJyKH2ExOfPn4uchIiIiIiIlBmLsByqWrUqJBIJnjx5InYUIiIiIiJSYizCcqhkyZKoWrUqfH19xY5CRERERERKjEWYHGxsbODj4yN2DCIiIiIiUmIswuRgY2MDPz8/pKamih2FiIgKseDgYAwbNgyGhobQ0NCAqakpJkyYgE+fPv1w27i4OCxYsAAWFhbQ1NSEsbExHBwc8Pfff2dYb9GiRZBIJNlObm5uBfXrERFRHqmJHUCZ2NjYICkpCf7+/qhdu7bYcYiIqBD68OEDmjZtCkEQ4OrqCmtra/j5+WHOnDm4ceMG7t27Bw0NjSy3TUhIgJ2dHV68eIFZs2ahZcuWePfuHZYuXYqOHTvi9OnT6NKlS4Ztzpw5A0NDw0z7srCwKJDfj4iI8o5FmBzq168PiUQCHx8fFmFERJSlpUuXIjw8HF5eXmjevDkAwNbWFnp6ehg0aBB27NiBCRMmZLntrl278PDhQ2zbtg1OTk6y+c2aNUOlSpWwcuXKTEVY7dq1UalSpQL7fYiIKP+xO6IcdHR0YG1tzfvCiIgoW0eOHIG1tbWsAEvXp08faGtrf7ebYIsWLbBnzx4MHDgww3wzMzNUqFABQUFBBZKZiIgUi1fC5MTBOYiIKDthYWGIjIxEy5YtMy1TV1dH9erV4evrC6lUChWVzN+DNmjQAA0aNMg0PzIyElFRUWjatGmB5CYiIsXilTA52djY4OHDhxycg4iIMomIiAAA6OvrZ7lcX18fSUlJiImJyfE+pVIpRo8ejbS0NMydOzfT8m3btqFWrVrQ1NSErq4u2rZtCw8Pj+/uMzk5GXFxcRkmIiJSHBZhckofnOP58+diRyEiokImMTERALIdeENTUzPDej/y9etXDB8+HGfPnsXcuXPRoUOHTOv4+flhyZIl+Oeff7BmzRoEBASgffv2OHbsWLb7dXV1hZ6enmwyNTXNUR4iIsofLMLkVL9+fQBgl0QiIsqkZMmSAL4VT1lJTk4GAGhra/9wXx8/fkTbtm3x559/YvHixVi6dGmG5dOmTUNERAQuXLiAHj16oGnTphgzZgz++ecfaGlpYdq0adnue/bs2YiNjZVNISEhOf0ViYgoH7AIk5Ouri4H5yAioiwZGxsD+F+3xP8KDw+HtrY29PT0vrufgIAA/PTTT/D19cXRo0cxf/78TOuUKlUKFStWzDS/cuXK+OmnnxAcHIzIyMgs95/edfHfExERKQ4H5sgFDs5BRERZMTAwgImJCR48eJBpWfpzJm1tbbMclCNdUFAQ7O3tIQgCbty4gXr16mW7bnJysqyL478lJCQAALS0tOT/JYiIqMDxSlgupA/OkZaWJnYUIiIqZAYPHozAwEBcvXo1w/x9+/YhOTkZQ4cOzXbbpKQkdO7cGampqbh27Vq2BVhqairMzc1Rq1YtWRfHdM+ePcPDhw/RuHFjXuEiIiqkWITlgo2NDRITEzk4BxERZTJr1ixYWFhgwIAB2LNnD27duoV169Zh6tSpsLOzkxVh+/fvh5qaGrZs2SLbdvXq1fD394eTkxOio6Ph7e2dafr69SvU1NQwZ84cvHr1Cm3atMGxY8fg5eWFLVu2oG3btlBVVcX69etF+gSIiOhH2B0xF/49OEfNmjVFTkNERIWJnp4ebty4gXnz5mHOnDmIioqCiYkJJk2ahPnz58u6IkqlUqSlpUEqlcq2vXLlCgDAxcUFLi4uWe4/KCgIlSpVgpOTE8zMzLBmzRqMHj0aiYmJqFChAlq1aoV58+ahRo0aBf/LEhFRrkgEQRDEDiGWuLg46OnpITY2Vu4uG9bW1ujYsSM2bNhQQOmIiBQjL+dCKhp4DBARKfZcyO6IucTBOYiIiIiIKDdYhOWSjY0NHjx4wME5iIiIiIhILizCcil9cI4XL16IHYWIiPJBSkoKoqOjxY5BRETFAIuwXGrQoAEAyLokJiQkQCKRQCKRyJ7PQkREhY8gCJgxYwYOHDggm7dt2zbo6emhfPnycHR0RFJSkogJiYioqGMRlkt6enqwtLTkfWFEREpmzZo1WLt2Lb5+/QoAePHiBSZMmABLS0uMGzcO169fx4oVK0ROSURERRmHqM8DDs5BRKR8Dhw4gMmTJ2PkyJEAvj2vS1VVFR4eHqhYsSKqVKmCvXv3ZjtEPBERUV7xSlgecHAOIiLlExQUBEdHR9nrK1euwM7ODhUrVgQANG7cGMHBwWLFIyKiYoBFWB7Y2NggISEBL1++FDsKERHlkCAI0NTUBPDtfl5fX1/Y29tnWCe9qyIREVFBYBGWB/8dnIOIiAo/U1NT+Pr6AgCOHz+OtLQ0ODg4yJY/ffpUdlWMiIioIORbEVYch/YtXbo0LCwsWIQRESmRXr16Yfbs2ejZsycmT56MevXqwcbGBgDw6NEjLF++HO3atRM5JRERFWVyF2Ec2jcjDs5BRKRcZs+eje7du+Pq1aswMzPDkSNHZMs2bdqElJQULFiwQMSERERU1MldhHFo34zSB+eQSqViRyEiohxYtWoVXF1dER0djUePHsHS0lK2bPr06QgICICRkZGICYmIqKiTuwj73tC+GzduhIuLC06dOpXfOQuthg0bIj4+Hs+fPxc7ChER5YCLiwsqV66MLl264MyZMxm+RLOyskLJkiVFTEdERMWB3EUYh/bNqHHjxlBVVcXt27fFjkJERDlw9uxZ9OnTB1evXkWPHj1gamqKefPmISgoSOxoRERUTOTqnjAO7fs/pUqVQoMGDXDr1i2xoxARUQ506tQJhw4dQmRkJPbs2YOaNWti5cqVsLKygoODA44fP47U1FSxYxIRUREmdxHGoX0za9myJW7cuCF2DCIikoO2tjaGDh2KS5cuISQkBMuWLcO7d+/Qr18/GBsbY+7cuXj37p3YMYmIqAiSuwjj0L6ZtWjRAmFhYWLHICKiXNLU1ETp0qWhp6cHQRAQFRWFtWvXwsLCAuvWrRM7HhERFTFyF2Ec2jez5s2bix2BiIhy4dq1axg4cCCMjIwwbtw4BAYGYvbs2Xj9+jXevn2LoUOHYtq0adi0aZPYUYmIqAiRCIIg5NfOAgICYGxsrDQjS8XFxUFPTw+xsbHQ1dXN075q1KgBf39/AEB8fDy0tbXzIyIRUYHLz3OhMoiKisLevXuxc+dOBAQEAABat24NJycn9OjRA2pqahnWnzRpEo4fP47w8HAx4ipEcTsGiIiyoshzodxXwkaOHJnt6IdWVlbw8vJCz5498xxM2dja2oodgYiIcsDY2BgzZsxAVFQUfvnlFzx//hyXL19Gnz59MhVgANC3b19ERkaKkJSIiIoquYuwvXv3IioqKtvl79+/x/nz5/MUShmxCCMiUg4NGzbEvn37EBoaitWrV8PKyuq761erVg0HDhxQUDoiIioOMn/ll41/D0P/888/Q0dHJ9M6qampePjwIcqWLZs/6ZRIs2bNxI5AREQ58KPRbO/cuYNRo0bh6dOnAIDy5ctjwIABiohGRETFRI6LsPr16+Pq1auQSCTw8fHJdj1jY2P89ttv+RJOmZiYmIgdgYiIcighIQHXr1/H27dvIZVKZfNTU1Ph7u6ON2/eiBeOiIiKvBwXYWvWrAEAqKiowNvbGw0aNCiwUERERAUlKCgIDg4OCAoKgiAIkEgkGZYLgoBevXqJlI6IiIqDHBdh6YKCgmBsbFwQWYqMuLg4jo5IRFRILVq0CJGRkZg6dSqqVq2KMWPGwMXFBYIgYNeuXRg/fjxmzpwpdkwiIirC5B6Yw9zcHKqqqjh69CgmTpyI7t27IzAwEMC3Ieqjo6PzPaSyKY4DkxARKYvr169j5cqVWLVqFUaNGgUA6NatGxYsWAA/Pz/s2rXrh/eNERER5YXcRVhiYiLs7OwwYMAAbN68Ge7u7oiPjwfwrcuijY0NIiIi8j1oYbdv3z7Zz2PGjMEff/whYhoiIspOeHg46tevL3stkUiQmpoKAChTpgzmzJmDhQsXihWPiIiKAbmLMFdXV3h7e2PVqlUIDAzEv5/1PHbsWHz58gUuLi75GrKwCw0NxcSJE2WvBUGAk5MTQkNDRUxFRERZ0dHRwfv372Wvy5Qpg7CwMNnratWqfXcAKiIiorySuwg7evQoZs2ahalTp6JSpUoZltWtWxfz588vdt3xAgICMoyuBQBpaWl49eqVSImIiCg7zZo1g4uLC548eQIAsLKywp49e2TL7927l+VDm4mIiPKL3EVYcHAw7Ozssl1et27dPHVH/PPPP9GoUSOULFkS5cqVQ7du3fDo0aNM6z158gQ9e/ZE+fLloaGhAUtLS8ydOxdfvnzJ9XvnlpWVFVRUMn6UKioqsLS0VHgWIiL6vhkzZuDZs2eYNWsWAKBfv344deoUGjZsiPbt22P69Ol89iMRERUouYuwEiVKICYmJtvl79+/z/XIgAsXLsTQoUNRp04dXLhwAZs2bYKfnx9atGgBf39/2Xr+/v7/1959h0V1tG0Av5deRESQIk2kKBbELvYWK/aSolFjicZoEkuMPRZsiZoYjdGoMRo1sXfFikasFCsoFpAOIlKkCALz/eHHvm4AZWHZBfb+Xde5gDntOZtxJs+ec2bQunVr3L9/H+vXr8eFCxcwbtw4rFq1CgMHDizRuUvDxsYGa9eulSnr168f5w4jIiqH2rRpA19fX3zyyScAgEmTJuGjjz7CzZs3cebMGbi7u2PNmjUqjpKIiCoziXj7pa5i6NatG7Kzs3H69Gno6OhAQ0MDt27dgpubG9LT09G6dWtYWVnB29tbrkCCgoLQqFEjDB8+HH/++ae0/Pr16xg2bBi+++47jBs3DsCbBOfkyZMICQmBg4ODdNulS5dizpw5OHr0KDw9Pd97ztTUVBgbGyMlJQVVq1aVK97/Sk9PR5UqVQAAbdu2RZUqVXDy5MlSHZOISBkU2RZWZGlpacjNzYWxsbGqQ1E61gEiIuW2hXLfCZs+fTouXbqEJk2aYMGCBZBIJPjzzz8xefJkODg4yDziIY8//vgDubm5BeZmadmyJR4/fixNwF6+fIkTJ06gU6dOMgkYAHz22WcAgH/++Ufu8ytSly5dcPnyZeTm5qo0DiIiKr4qVaqoZQJGRETKJ/ebx926dcPOnTsxZcoULFq0CADw888/AwCsrKywa9cudOzYUe5A/v33X9SoUQOurq7v3O7OnTvIyclBo0aNCqyzsrKCmZkZ/Pz85D6/IuW/9H379m00adJEpbEQEREwevRoubaXSCSlmmokIiIC8+bNw+nTp5GYmAgLCwv069cPixYtQvXq1d+5b2pqKlauXImdO3ciKioKZmZmqFevHqZPn47u3bvLbPvixQvMnz8fR48eRWxsLKpXr45u3brBy8sLdnZ2JY6fiIjKVomGf/roo48wePBg+Pn5ISIiAhKJBLVq1UKTJk1KPKLUkydPULt2bVy9ehVz586Fn58fcnJy0Lx5cyxdulT6knT+oB/m5uaFHsfc3ByRkZGFrsvKykJWVpb079TU1BLF+j5NmzaFrq6u9I4hERGp1tuPuQNvkqzCnsbPLy9NEpaQkAAPDw8IIbBs2TK4uLjg9u3bmD17Nnx9fXHjxg3o6OgUum96ejo6dOiAkJAQzJw5E+3bt0dsbCy8vLzQs2dPHD58GH369AEAvHr1Ch07dkR4eDi8vLzQtGlTPHnyBLNnz0abNm1w69YtmJqalugaiIiobJV4DF4tLS14eHjAw8NDIYG8fPkSsbGxGD58OGbMmAEvLy88evQICxcuRLt27XDw4EH069cPGRkZAFBkB6arqyvd5r+WLVumlDnMdHV10aJFC1y6dAlff/11mZ+PiIje7e7du9Lf09LSMG7cODRp0gSDBw+GjY0N8vLyEBYWhr179yI0NLRUj7V7eXkhJiYGly5dQtu2bQEArVu3hrGxMYYNG4bff/8dkyZNKnTfzZs349atW9iwYQPGjx8vLW/Tpg1q1aqFFStWSJOw3377DXfv3sWOHTswbNgw6XkcHR3Rpk0bLFu2DCtXrizxdRARUdmRe2AOAEhKSsLZs2eRmJhYYH6sfBMnTpTrmPr6+nj16hWuXLkik9g9fvwY9erVQ7169XDr1i3s378fgwcPxo8//ojp06cXOE79+vURFRWFlJSUAusKuxNma2ur8IE50tLSsGzZMmzcuBHx8fEFhq8nIipP1G1QhsmTJ0NbWxurV68udP24ceOgq6uLdevWlej4lpaWMDY2RkhIiEz569evYWJiAnd3d/j6+ha6b2BgIO7cuYNBgwbByMhIZp2FhQW0tLSkE0u3bNkSQUFBSEpKgra2tsy2derUQXp6OqKioooVs7rVASKiwiizLZT7TtjFixcxYMAApKSkFPooB/DmcQ55kzALCwvEx8ejVatWMuVOTk6oW7eu9F0wa2trAChyLrKYmBjpNv+lq6sLXV1dueIqqQ8++ABLlixBYGAgmjVrppRzEhHR++3fvx/bt28vcv3QoUMxcuTIEiVh0dHRiI+PR/v27Qus09bWhqurKwIDA5GXl1foF3RNmjQp9DH2+Ph4JCYmSr+kzM3Nxe3bt+Hm5lYgAQMANzc37Nu3D7GxsbCyspL7OoiIqGzJnYTNmjULQghMmzYNzs7ORT4WKK+mTZviwIED0gz0bTk5OdDU1ISGhgbc3Nygq6uLmzdvFjhGaGgokpOTMWDAAIXEVBqtW7dG1apVcfLkSSZhRETlyIsXL5CWllbk+oyMDLx48aJExy7Oe8v+/v5ITk5+7wAd+fLy8jB27Fjk5uZizpw5AIDk5GRkZWW98zwAmIQREZVTcidhQUFB+Pnnn6XDwSvKp59+igMHDmDLli2YOnWqtPzBgwd4+PAh2rZtCw0NDRgYGGDAgAHYu3cvHj9+DCcnJ+m2v//+OwBgxIgRCo2tJLS1tdG1a1ecPHkS8+bNU3U4RET0/5ydnfHDDz+gTZs2qFGjhsy6hIQELFmypMAUKMVVnPeW87crThKWnZ2NsWPH4tixY5gzZw569Ogh93kKo6yBqoiIqHByJ2G6uroyiY+i9O/fH/3798d3332HlJQUfPDBB3jy5AkWLFgALS0tLF26VLrt8uXLcfbsWfTq1QteXl6wtrbG6dOnsXLlSnz66aclGiK/LPTs2RPjx4/Hixcviv2NJxERla2ZM2fi008/ha2tLRo3biy9U/Ts2TPpyLwbNmwo0bENDAwAvEmeCpOf+BgaGr73WM+fP8fAgQNx6dIlLFq0SOYLvdKeR1kDVRERUeHkTsI6dOiAa9euoV27dgoPZvfu3Vi5ciW2b9+O5cuXo0qVKmjfvj0OHDiAxo0bS7ezt7fHlStXMHfuXEycOBEvX75E7dq1sWTJkkIH61CVHj16IC8vD2fOnMGHH36o6nCIiAjAsGHDUKVKFaxYsQL+/v7IyckBAGhoaMDd3R1TpkyRjjYor+K8t2xoaPjeSaEfPXqEHj16ID4+Hnv27MGQIUNk1puYmEBfX/+d53k7nv+aNWuWzFMn+QNVERGRcsg9OmJERAR69+6NmTNnYvDgwUob6KIsKHIElP+Ojpj/7aObmxuaNGlSYI4aIqLyQp1HxsvJycHz588hhICpqalC3nO2tbWFjo4Onjx5IlOemZkJExMTtG7dGufPny9y/7CwMLRv3x5CCBw7dgzu7u6FbteuXTsEBAQgKSmpQF9sZ2cHLS0thIaGFitmda4DRET5lNkWyj12ev/+/fHq1SuMGDEChoaGqFGjBszNzWUWCwuLsoi1QurZsye8vb2LHMqfiIhUR0tLC5aWlrCyslLYQFPDhw9HaGgofHx8ZMq3bduGrKysd763nJmZid69eyMnJwcXL14sMgHLP09mZiZ27dolU+7t7Y3IyMhy8X40EREVTu47YbVq1YJEInnvdmFhYSUOSlmUcSfMx8cHnTt3RkBAQKHDDhMRqRrvgihWSkoKmjZtKp0zsk6dOrh+/Trmzp2L5s2b4/z589DQ0MD27dsxevRo/PLLL9JpXRYvXoz58+fj+++/h6enZ6HHd3Nzg46ODnJyctCuXTsEBQXBy8sLzZo1w/379zFz5kyYmZnB39+/WO+eAawDRERAOZ8n7OnTp2UQRuXVpk0bVKlSBSdPnmQSRkSkBoyNjeHr64u5c+di9uzZSExMhI2NDb766ivMmzdPOj9YXl4ecnNzZZ6UOHfuHABg4cKFRQ6cERYWhlq1akFLSwunTp3CggULsGrVKsTGxsLc3BxDhgzBokWLip2AERGR8sl9J+x9QkJC8NNPP5V4ZCllUsadMAAYMGAAEhIS4OvrW6pzEBGVBd4FIdYBIqJy/k5YvoyMDDx48ADBwcHS5c6dO9i0aRO2bdumyBgrvJ49e+Lq1atISkpSdShERGrpxo0byMzMLFB+9epVdOzYEYaGhjAzM8Mnn3xS7MEsiIiISkruxxHT0tIwZswY7N+/H4XdRBNCvPNFYnXUs2dP6VD1Q4cOVXU4RERqx8PDA35+fjKPhQcEBKBTp07Izs6Gg4MD0tPT8c8//+D8+fMICAgocnh3IiKi0pL7TtiKFSuwd+9eNGnSBMOGDYMQAp6enujQoQM0NDQwZcoUHD9+vCxirbBsbW1Rv359eHt7qzoUIiK1VNiXhosXL4aRkRGuXbuGJ0+eIC4uDqdPn0ZWVha8vLxUECUREakLuZOwffv2Ydq0abhx4wa2b98O4E1Hdv78eVy6dAnHjh1Dbm6uwgOt6PKHqlfwK3hERFRCly5dwrx589CiRQtpWdeuXTFr1ix+aUZERGVK7iQsIiICffv2lSnLH9mpVatWGDlyJGbMmKGY6CqRHj16IDY2Frdv31Z1KEREhDeP1zdv3rxAeatWrRATE6OCiIiISF3InYRpaGggKytL+neVKlXw4sUL6d8dOnTA+fPnFRNdJdK2bVsYGhri5MmTqg6FiIgA2NnZISUlpUB5SkoKdHV1VRARERGpC7mTsIYNG2Lz5s3Su1+2trYyj23ExsYiPT1dcRFWErq6uujSpQuTMCIiFZFIJDJ/jxgxAjt27Ciw3ebNm9GwYUNlhUVERGpI7tERJ0yYgFGjRiEjIwNHjhyBp6cnVq9ejZycHNSoUQO//vor6tWrVxaxlmuGhobvfd+rZ8+emDRpEpKTk1GtWjXlBEZERACAZs2aFVq+Zs0amJqa4vXr1+jWrRv+/fdf7Ny5U8nRERGROpE7CRsxYgSSkpLw7NkzAMC0adOwf/9+/PzzzwDePJ5Y2DeL9CYJy83NxdmzZzF48GBVh0NEpDZGjhxZ5DodHR0AgLa2NgIDAzFz5kx89NFHygqNiIjUkEQoYLi+V69e4dy5c8jJyYGHhwfMzc0VEVuZU+as2Pnq1auHVq1a4Y8//lDK+YiI3kcVbWF5lZSUBBMTE1WHoXSsA0REym0L5b4TVhg9PT307t1bEYeq9Pr164dNmzbh9evX0NbWVnU4RERqIzo6Ghs3bkRYWBgcHR0xadIkmJmZyWxjYmKCe/fuoW/fvggNDVVRpEREVNkVKwlbtGiRXAeVSCSYN29eiQKq7IYOHYrly5fDx8cH3bp1U3U4RERq4dGjR2jdujUSExOlZWvWrMHu3bsLtMVZWVkIDw9XdohERKRGipWELViwQK6DMgkrmru7OxwdHbFnzx4mYURESjJ//nzk5eVh+/btaNasGe7du4fp06ejT58+OHbsGD744ANVh0hERGqkWEmYj49PWcehNiQSCYYOHYqNGzfit99+4yOJRERK4OfnhwULFmD48OEAgLp166Jjx47o1q0bBg8ejGvXrsHV1VXFURIRkbooVhLWoUOHso5DrQwdOhTLli3D+fPn0b17d1WHQ0RU6UVFRaFx48YyZWZmZjh27BhatGiB/v374/r165w+hIiIlKLEA3PcvXsXd+7cQXx8PDQ0NGBhYYGmTZvCxcVFkfFVSo0aNYKzszP27NnDJIyISAlMTEwQEhKCtm3bypTXrFkTR44cQfv27TFw4ECcPHlSRRESEZE6kTsJS0lJwYcffogzZ84AgHSCYolEAuDN6H9//fUXDA0NFRhm5SKRSDBkyBD89ttv2LBhAx9JJCIqY927d4eXlxfat28PZ2dnmXVNmjTB33//jSFDhqBnz5745ptvVBMkERGpDQ15d/j2229x+vRpdO3aFT///DP27NmDf/75Bz/99BO6dOmCQ4cO4bvvviuLWCuVoUOHIikpCefOnVN1KEREld7333+PpKQkuLq6Ys+ePQXW9+nTB/v378f169cxePBgFURIRETqRO7Jms3NzfHRRx/hl19+KXT9119/jd27dyMuLk4hAZYlVU5OKYRA3bp10aZNG07cTEQqpS4T9QYHB2Pu3LmYMGFCkaPTBgcHY/LkyfDx8UFeXp6SI1QddakDRETvosy2UO47YS9fvsRHH31U5PqhQ4ciNTW1VEGpg/xREg8ePIjs7GxVh0NEVOnVq1cPBw4ceOf0IPXq1cO5c+fUKgEjIiLlkzsJc3JyQnx8fJHr4+Li4OTkVKqg1MWQIUOQnJyMs2fPqjoUIiIiIiJSErmTsJkzZ2L58uVISkoqsC41NRXLli3DjBkzFBJcZdewYUPUqVMHe/fuVXUoRERERESkJHKPjhgeHo6cnBzY29ujc+fOsLe3h6amJqKjo3Hu3DlYW1vjzp07MomYRCLBihUrFBp4ZZD/SOIvv/yCjRs3QkdHR9UhERGpvVmzZiEvL4/9FhERlRm5B+bQ0JD75hkkEglyc3Pl3q+slYcXke/evQs3NzccO3YMvXv3VkkMRKTeykNbWJ5oaWlBCFEu+62ywjpARKTctlDuO2E+Pj5lEYfaatCgAerWrYu9e/cyCSMiKgfOnz8POb+fJCIikovcSViHDh3KIg61lf9I4po1a5CVlQVdXV1Vh0REpNbat2+v6hCIiKiSk//ZQlK4oUOHIiUlBadPn1Z1KEREREREVMaYhJUD9evXR8OGDbF9+3ZVh0JEpPbu3buH2rVrqzoMIiKqxJiElRNjx47F4cOH8ezZM1WHQkSk1rKyshAeHq7qMIiIqBJjElZODB8+HBoaGvjrr79UHQoREREREZUhuQfmoLJRvXp1DBw4EJs3b8bUqVMhkUhUHRIRUaUxdOjQYm+blJRUhpEQERExCStXxo4diy5duuDKlSto06aNqsMhIqo09u3bB4lEUuyh5/lFGBERlaViJWHyvqAskUjw5MmTEgWkzjp27IjatWtj8+bNZZKEpaeno0qVKgCAtLQ0GBoaKvwcRETl0fDhw3HhwgWcPn0a+vr679z2zp076N+/v3ICIyIitVSsJCw1NVXmW8GsrCykpaVBIpHAyMgIeXl5SEtLA/DmsboaNWqUTbSVnIaGBsaMGYMlS5bg559/hrGxsapDIiKqFNatW4cGDRpg7dq1+PXXX9+57fPnz5UUFRERqatiDczx/PlzJCQkICEhAdeuXUOtWrXwxx9/IDk5GcnJyUhNTUVCQgLWr18Pc3NzHD9+vKzjrrRGjRqFV69e4Z9//lF1KERElUbVqlXxxx9/YMOGDThy5Mh7ty/uY4tFiYiIwMiRI2FlZQUdHR3Y2tpi0qRJePHiRbH2z8vLww8//AA9PT2YmZkVus2CBQsgkUiKXNiPEBGVX3K/EzZ16lSMHj0ao0aNkik3NTXFhAkTkJycjK+//hpHjx5VVIxqpWbNmujduzc2b96M8ePHqzocIqJKo2vXroiJiYG2tvY7t6tZsya+//77Ep8nISEBHh4eEEJg2bJlcHFxwe3btzF79mz4+vrixo0b0NHRKXL/J0+eYOTIkQgKCoKW1vu76SNHjsDKyqpAuaOjo9yxb9++HZMmTZJ7PyIiko/cSdi///6LqVOnFrnew8MDK1asKFVQ6m7s2LHo168fbt26BXd3d1WHQ0RUaVhYWLx3Gysrq1IlYV5eXoiJicGlS5fQtm1bAEDr1q1hbGyMYcOG4ffff39nouPp6QkzMzPcvn0b7du3lz7uX5SGDRuiVq1aJY73bVOmTEHTpk3h4eGhkOMREVHh5J4nLDs7+52DboSFhSE7O7tUQam7Xr16wcrKClu2bFF1KEREJKfdu3fDxcVFmoDlGzJkCAwNDd/7mOCMGTNw4cIF2NnZlWWYhWrWrBkGDhyI6OhopZ+biEidyJ2ENW/eHHPnzsXhw4fx6tUraXl2djYOHjyImTNnonHjxgoNUt1oaWlh1KhR2LFjBzIzM1UdDhFRpRAZGYm5c+di5MiRWL16NdLT0wEAwcHBaN++PQwNDdGwYUPs37+/xOeIjo5GfHw8GjVqVGCdtrY2XF1dERgYiLy8vCKP8dlnn0FTU7PEMZTGX3/9BU1NTQwcOFCmjyciIsWSOwlbuXIl0tLSMHDgQFSpUgXVq1dH9erVYWBggMGDByM1NZWPIyrA6NGjkZycjAMHDqg6FCKiCu/x48do3Lgxli5dir/++gvTp09Hly5dkJaWJn38297eHo8ePcKHH36ICxculOg8cXFxAABzc/NC15ubmyMzMxPJycklvJKCNmzYgAYNGkBXVxdVq1ZF165dcebMmXfuk5WVhdTUVJklP75Dhw7h9u3bmDhxYqkHKCEiosLJnYQ1a9YM9+/fx3fffYe2bdvC3NwcNWrUgIeHB6ZMmYI7d+5womEFcHJyQqdOnbB582ZVh0JEVOEtWrQIubm52Lx5M4KDg3Hw4EGEhoZi1qxZyM3NxePHjxEcHIwnT57AxcUFq1evLtF5MjIyAKDIgTd0dXVltlOE27dvY/Hixbhw4QJWrVqFR48eoXv37ti7d2+R+yxbtgzGxsbSxdbWVrquWbNm2LRpE7Zu3Yp169YpLE4iInqLUGMpKSkCgEhJSVF1KIXauXOnACAePHigkOOlpaUJAAKASEtLU8gxiajiK+9toSLUrFlTrFmzRqZs3759QltbW/z6668y5X/++adwcHAo0Xn8/f0FAPHll18Wur5Xr14CgHjx4kWxjmdvby9MTU0LXffy5UsRFxdXoDw0NFQYGBgIOzu7Io/76tUrkZKSIl0iIyML1IEpU6YITU1Ncf78+WLFSkRU0SmzP5T7Tli+7OxsBAQE4NChQwp9rIL+Z+DAgbCwsMCaNWtUHQoRUYWWmJiIJk2ayJR1794dOTk5BcqdnJwQExNTovNYW1sD+N9jif8VExMDQ0NDGBsbl+j4b6tSpUqhoz06ODigZcuWiIiIQHx8fKH75j+6+PbyXz/88AM6deqEAQMG4M6dO6WOl4iI/qdESdimTZtgaWmJFi1aYNCgQYiIiAAALFmyBF9//bVCA1Rnenp6mDRpErZu3YqEhARVh0NEVGFZWFggMjJSpqxKlSoAAAMDA5ny2NhYGBoalug8lpaWsLGxwc2bNwusy8zMxP3799GiRQtoaJT4O1AZWVlZhZbnDzqir69f4mNraWlh//79qF27Nrp3747Q0NASH4uIiGTJ3QscOnQI48ePh52dHebNmyezzsDAAOvWrcP69esVFqC6++KLLyCRSPDbb7+pOhQiogqrTZs28PLyKnBnKC8vD25ubtK/s7Ky8NNPPxW4OyaP4cOHIzQ0FD4+PjLl27ZtQ1ZWFkaMGFHiY+fLycmBvb09GjRoUCARCw4Oxq1bt9CiRYtC73DJo2rVqvD29oaRkRG6detW5B0+IiKSj9xJ2E8//YRevXrh5s2bWLBggczISVOmTMEXX3yBrVu3KjRIdWZqaorRo0dj3bp1HK6eiKiEZs+ejcjISNSuXRvbt28vdJszZ86gfv36uHbt2jsnU36fmTNnwtHRER9//DG2bt2KK1eu4KeffsK0adPQoUMHaRK2fft2aGlpyXxx+fLlS/j7+0uX7Oxs5OTkFCjT0tLC7Nmz8fjxY3Tp0gV79+7FpUuXsH79enTt2hWampr4+eefS3wNbzM3N8fp06eRmZmJHj168BUEIiIFkDsJu337tvTuTGEGDBiA4ODgUgdG//PNN9/g+fPn2LFjh6pDISKqkBo0aICzZ8+icePGRQ67Hhsbi/j4ePz444/o169fic9lbGwMX19feHp6Yvbs2ejYsSPWrl2Lr776CidOnJA+ipiXl4fc3FyZOcMCAgLQvHlz6RIbG4uUlBSZsvz31caPH48TJ05AT08PY8eORefOneHl5YWOHTvC398fHh4eJb6G/6pVqxZOnTqFiIgI9O3bl18KEhGVkkQU1RsVQV9fH97e3ujQoQMAQENDA7du3ZI+zvHvv/+iR48eChl+96OPPsLu3bvx/fffY8GCBdLyiIgIzJs3D6dPn0ZiYiIsLCzQr18/LFq0CNWrVy/28VNTU2FsbIyUlJRSP7JR1gYNGoSgoCAEBweX+F2C9PR06TsQaWlpJX7ngYgql4rUFpally9fQldXt8jh5Suz4taBq1evomvXrujSpQsOHDgALS0tJUZJRFS2lNkfyv1/87Vr14a3t3eR6//++284OjqWKqj84+zevbtAeUJCAjw8PHDmzBksW7YMFy5cwOzZs7Fz50507twZ2dnZpT53eTR9+nSEhITg+PHjqg6FiKhSMjIyUssETB4eHh7Yv38/Tp48iWHDhuH169eqDomIqEKSOwn7+OOPsWrVKixevBhPnz4FACQlJSEgIAATJkzA77//juHDh5cqqOjoaHz55ZcYMGBAgXVeXl6IiYnBnj17MGrUKLRu3RpffPEFfv31V9y+fRu///57qc5dXnl4eKB169ZYuXKlqkMhIiI11qNHD+zduxcHDx7EkCFDihyhkYiIiib344ivX79Gv3794O3tDYlEAiGE9P0wIQT69OmDAwcOQFNTs0QBCSHQo0cPhISE4OjRo3Bzc5N5HNHS0hLGxsYICQkpEJeJiQnc3d3h6+tbrHNVtEdwDhw4gEGDBuHGjRto3ry53Pu//ThiSEgIXFxcFB0iEVVAFa0tJMUrSR04ceIEBg4ciE6dOuHAgQOlGg6fiKg8KNePI2pra+PEiRM4dOgQxo4di+7du6N79+4YP348jh07hsOHD5c4AQOA9evX48yZM/jjjz9gZGQksy46Ohrx8fFo1KhRoXG5uroiMDBQ5iXnyqRfv35wdHTEqlWrSrT/tm3bpL+7urpiy5YtigqNiKhCWbRoEZ49eyb9WwhRoIzerVevXjh+/Dj+/fdf9O7dG2lpaaoOiYiowijxbJF9+/bFxo0bcfLkSZw4cQLr169Hr169kJKSgrCwsBId8+HDh5gxYwa+/PJLdO7cucD6/PlJzM3NC93f3NwcmZmZRQ6fm5WVhdTUVJmlItHU1MTUqVOxd+9e6aOgxRUVFYXJkydL/87Ly8P48eMRFRWl4CiJiMq/hQsXysx5lZeXV6CM3q9Lly44deoU/P390b17d6SkpKg6JCKiCkHuJExTUxOBgYFFrj937lyJhsXNzc3FiBEjYGVlhRUrVhS6Tf6Ii0W9OK2rqyuz3X8tW7YMxsbG0sXW1lbuOFVt1KhRqFatmtzzvzx69KjAHcLc3Fw8fvxYgdEREVUMhT2JL+fT+fT/2rZti7NnzyI4OBhdu3bF8+fPVR0SEVG5V+wkLCIiAhERERBCIC4uTvr320toaCjOnz9fookcly5dCj8/P/z5558wMDAodJv88qJGQMx/ObiooddnzZqFlJQU6RIZGSl3nKpmYGCAiRMnYvPmzUhISCj2fs7OzgWGttfU1ISTk5OiQyQiIjXTokUL+Pj4IDw8HK1atcLDhw9VHRIRUblW7CSsVq1acHBwgEQiQZ8+feDg4FBgcXZ2xm+//YbGjRvLFURgYCAWL16MyZMnw93dHWlpaUhLS5Pe0crOzkZaWhosLCwAoMjHRWJiYmBoaAhjY+NC1+vq6qJq1aoyS0X0zTffQENDo8g7hoWxsbHB2rVrpX9rampi48aNsLGxKYsQiYhIzbi7u+P69evQ1taGh4cHLl26pOqQiIjKrWKPjnjv3j2cO3cOU6ZMgaenJ0xNTQseTCKBtbU1vvjiC9SsWbPYQSxYsAALFy5873Zbt27FvHnzoKOjgydPnsisy8zMhImJCVq3bo3z588X67wVeUSwBQsWYMWKFXjy5EmxP2uOjkhEhanIbWFJaWho4NatW3BzcwPw5vFsbW1tmTJ1osg6kJSUhEGDBuHy5cvYunUrPvnkEwVFSURUtpTZHxZ7qvsGDRqgQYMGOHToEFatWgVnZ2eFBTF69Gh07dq1QHlcXByGDBmCzz77DKNHj4aLiwtCQkKwfPly+Pj4oFOnTtJtt23bhqysLIwYMUJhcZVnU6dOxdq1a+Hl5YX169fLvb+1tXUZREVEROrOxMQE3t7e+PzzzzFs2DCEhoZizpw50ulsiIhIjiQsn4+PD3JycnD27FmZxCkzMxMHDx7EoEGDpANkFJednR3s7OwKlOePAGhnZ4e2bdsCAGbOnIm9e/fi448/xrJly1CnTh1cv34dc+fORYcOHdQmCatatSq+++47zJkzB99++y0cHBxUHRIRERGANwNobd26FY6Ojpg3bx6ePHmC3377DXp6eqoOjYioXJB7dMSkpCS0bt0aw4cPlynPyMjA8OHD0bZt2zIdotbY2Bi+vr7w9PTE7Nmz0bFjR6xduxZfffUVTpw4UWDwicrsyy+/hKmpabEe5SQiov8p7K4M79QolkQiwbx587Bjxw78/fffaNu2LcLDw1UdFhFRuSB3xrJo0SI8fPgQc+fOlSmvVq0aNm3ahNDQUCxYsEAhwdWqVQtCiALHs7S0xObNmxEbG4vs7GyEhoZi2bJlRY6qWFkZGhpizpw5+Ouvv3D//n1Vh0NEVGFwiHrlGTZsGK5cuYLExEQ0adIEp06dUnVIREQqJ3cSdvToUaxYsQKTJk2SKdfU1MSYMWOwZMkS7N69W2EB0rt9/vnnsLGxUVjiS0SkDvLy8mQG4NDU1CxQRorTpEkTBAQEoFWrVujZsycWL15cYO5KIiJ1IncSFh0d/c5Oys3NDYmJiaUKiopPV1cX8+fPx549e3Dr1i1Vh0NERFSo6tWr4+jRo1iwYAG+//579OnTBy9evFB1WEREKiF3EmZlZfXOSRj9/f1haWlZqqBIPiNHjoSTkxPmzZun6lCIiIiKpKGhgfnz5+PEiRO4du0aGjdujH///VfVYRERKZ3cSVi/fv0wc+ZMHDlyBFlZWdLyFy9eYN26dfjuu+/Qp08fhQZJ76alpYWFCxfi2LFjuHbtmqrDISIieqcePXogMDAQ9vb26NixI2bNmoXs7GxVh0VEpDTFnqw5X0pKCtq1a4egoCBIJBJUrVoV2dnZyMzMhBACrq6uuHTpEqpXr15WMStMZZqgNC8vD40aNUL16tVx4cKFQkf5enuy5rS0NBgaGio7TCIqhypTW/gujx8/xrx58xAQEABjY2P06dMH06ZNY1sI1dWB3Nxc/Pjjj5g3bx7c3Nywc+dO1K1bV2nnJyJ6mzLbQrmTMAB49eoV/vjjDxw9ehTR0dHQ0NCQfps1YcIE6Ovrl0WsClfZ/sfj1KlT6NGjB/755x98+OGHBdYzCSOiwlS2trAwMTExaNy4MRISEiCRSKQjITZs2BCXL1+Wto3qStV1ICAgAMOGDUNERARWrVqFCRMmcMoAIlI6ZbaFJZpUS09PDxMnTsTJkydx584d3Lp1C4cPH8aUKVMqTAJWGXXv3h39+/fHtGnTkJaWpupwiIjKjeXLl+P169c4ePAg0tPTER8fj3Xr1iE0NBSLFy9WdXhqr2nTpggMDMTIkSMxceJE9OjRA0+fPlV1WEREZabEMxtnZ2cjICAAhw4dQnJysgJDotJYvXo1EhMTsXTpUlWHQkRUbnh7e2PWrFno168f9PT0UKNGDUycOBFz587F9u3bVR0eATAwMMBvv/2G48eP4/79+6hfvz5+/vln5Obmqjo0IiKFK1EStmnTJlhaWqJFixYYNGgQIiIiAABLlizB119/rdAAST4ODg6YOXMmVq5c+c5RLImI1ElERARatGhRoHzIkCF49uwZYmJiVBAVFaZXr14ICgrC6NGjMXXqVLRu3Rp3795VdVhERAoldxJ26NAhjB8/HnZ2dgWGRDcwMMC6deuwfv16hQVI8psxYwasra3xzTffoASv/BERVTrZ2dkwMjIqUG5nZwchBJKSklQQFRXFyMgIa9euha+vL16+fIkmTZpg/vz5ePXqlapDIyJSCLmTsJ9++gm9evXCzZs3sWDBApn/yZ8yZQq++OILbN26VaFBknz09fXx008/4eTJkzh27JiqwyEiKre0tLQAgI+8lVOtW7fGzZs3MWfOHCxfvhz169fHkSNH+AUjEVV4cidht2/fxhdffFHkqEUDBgxAcHBwqQOj0unXrx+6d++Or7/+mt8cEhEBHG2vgtLV1cWCBQtw584dODk5oV+/fujVqxcfuSeiCk3uJCwrK+udQ/lqa2vzG6pyQCKRYM2aNYiKisKPP/4IADA0NIQQAkIIDk9PRGpnxowZmD9/Pvbu3YuQkBD2VRVM3bp14e3tjYMHD+LBgwdo0KABvvvuO7x8+VLVoRERyU3uJKx27drw9vYucv3ff/8NR0fHUgVFilGnTh1MmTIFy5YtQ3h4uKrDISJSGUtLS5w7dw5eXl746KOPUK9ePRgaGqJZs2aQSCQ4e/Ysnjx5ouow6T0kEgn69++P4OBgzJ07F7/88gvq1KmDzZs3IycnR9XhEREVm9xJ2Mcff4xVq1Zh8eLF0jk8kpKSEBAQgAkTJuD333/H8OHDFR0nldDcuXNhYmKCL774gt/6EpHaiomJQUxMDI4cOYL58+ejd+/eMDExQWBgIIQQ+Pbbb+Hi4gJTU1N07969wMBTVL7o6+tj/vz5ePDgATp27Ihx48bBzc2N74sRUYUhEXK2Vq9fv0a/fv3g7e0NiUQCIYT0OXshBPr06YMDBw5AU1OzTAJWJGXOiq1Kx48fh6enJ/744w989tlnqg6HiMoZdWkLCxMbGwt/f38EBARIl7i4OEgkErUarKOi14GAgADMmDED58+fR9u2bfHDDz/Aw8ND1WERUQWjzLZQ7iQs35EjR3D8+HFERERAIpGgVq1a8PT0RK9evRQdY5mp6J2OPEaPHo39+/fj3r17sLW1VXU4RFSOqFNbWBwxMTEICAhAnz59VB2K0lSGOiCEwKlTp/Ddd9/hzp076N+/PxYuXAg3NzdVh0ZEFUSFSMKKkpKSghcvXsDBwUGRhy0TlaHTKa7k5GQ0bNgQ9erVk97FJCIC1KstfJ/c3FwcPnwY9+7dw/z581UdjtJUpjqQm5uLnTt3YuHChQgNDcWgQYMwf/58JmNE9F7KbAvlfidMU1MTgYGBRa4/d+4cHwEoh6pVq4bNmzfj9OnT2LRpk6rDISIqV6KiojB//nzY2dlhyJAhWLhwoapDohLS1NTEiBEj8ODBA2zZsgWBgYFo1KgRhgwZgrt376o6PCIiAHIkYREREYiIiIAQAnFxcdK/315CQ0Nx/vx5JCcnl2HIVFLdu3fHuHHjMG3aNOmgKkRE6szb2xv9+vWDg4MDvLy8kJOTg6FDh6o6LFIAbW1tjB49GiEhIdi8eTP8/f3h5uaGQYMG4caNG6oOj4jUXLGTsFq1asHBwQESiQR9+vSBg4NDgcXZ2Rm//fYbGjduXJYxUymsXLkS1atXx5gxY5CXl6fqcIiIlO758+dYsWIFHB0d0bt3bxw9ehStWrXCzp07ERUVhWnTppX6HBERERg5ciSsrKygo6MDW1tbTJo0CS9evCjW/nl5efjhhx+gp6cHMzOzIrd78eIFJk2aBHt7e+jo6MDS0hIjRoxAREREqa+hstDW1saYMWPw8OFDbN68GXfv3kXLli3RqVMnnDp1iqMpEpFKaBV3wzt37uDcuXOYMmUKPD09YWpqWmAbiUQCa2trfPHFFwoNkhSnatWq2LJlCz744ANs2LABEydOVHVIRERK8e+//2LDhg04cOAAsrOzUaVKFYwfPx4TJ05EgwYNpNuV9p3ZhIQEeHh4QAiBZcuWwcXFBbdv38bs2bPh6+uLGzduQEdHp8j9nzx5gpEjRyIoKAhaWkV3069evULHjh0RHh4OLy8vNG3aFE+ePMHs2bPRpk0b3Lp1q9C+Wl3lJ2OjRo3CoUOHsHz5cvTo0QPu7u6YMWMGhgwZ8s7Pm4hIoYScOnbsKB4+fCjvbuVSSkqKACBSUlJUHYrSffHFF8LAwKDS/LckopJTh7awXr16QkNDQ0gkEtGoUSOxfv168fLly0K39ff3FxoaGiU+11dffSUAiEuXLsmU79y5UwAQa9eufef+devWFW3bthXh4eHC3t5emJqaFrrd6tWrBQCxY8cOmfLLly8LAGLatGnFjlkd6sB/5eXliXPnzokPPvhAABC2trZi+fLlIjExUdWhEZGKKLMtLPXoiMnJyahSpUqF/PaoMo0GJa+0tDQ0btwYVapUwdWrV6Gnp6fqkIhIRdShLdTQ0ICOjg6+/fZbzJs37513ogICAtCiRYsSzxNmaWkJY2NjhISEyJS/fv0aJiYmcHd3h6+vb5H7b926FSNGjICmpiZq1aqFtLQ0PH/+vMB2LVu2RFBQEJKSkqCtrS2zrk6dOkhPT0dUVFSxYlaHOvAut27dwpo1a7Br1y5oamri008/xddff4169eqpOjQiUqJyPToi8Kax6tWrF4yMjGBmZobg4GAAwJ49e7Bv3z6FBkhlo0qVKti3bx/u37+Pr7/+WtXhEBGVqY8//hgAsHTpUlhaWmLKlCl4+PChws8THR2N+Ph4NGrUqMA6bW1tuLq6IjAw8J3v5H722WfQ1NR853lyc3Nx+/Zt1KtXr0ACBgBubm6Ijo5GbGys/Behhtzd3bF161ZERkZi1qxZOHLkCOrXr49u3brh4MGDyMnJUXWIRFTJyJ2E3b17F23btsWFCxfQrFkzmRdaL168iI8//hhnzpxRaJBUNho1aoR169bh999/x44dO1QdDhFRmdm5cyciIyOxePFiVK1aFWvWrIGrqys++OADHDx4UGEDFcXFxQEAzM3NC11vbm6OzMzMUo8inJycjKysrHeeBwCTMDmZm5tj3rx5CA8Px44dO5CamoqBAwfC3t4e33//PSIjI1UdIhFVEnInYQsXLoSdnR0ePnwIHx8fmSRs3bp16NSpE3788UeFBkllZ8yYMRgxYgTGjx8vvaNJRFQZ1ahRA7Nnz0ZYWBgOHTqEDz74AOfPn8fgwYNhb28PLy8vxMfHl+ocGRkZAFDk4466uroy26nqPFlZWUhNTZVZ6H90dHQwbNgwXLt2DTdv3kTfvn2xevVq1KpVC3379sXx48d5d4yISkXuJOzff//F3LlzYWNjU2CdRCLBl19+CX9/f4UER2VPIpFg/fr1qFWrFoYMGYL09HRVh0REVKYkEgn69u0Lb29vPHz4EN988w0yMzOlkzV/8803JT62gYEBACA7O7vQ9VlZWQAAQ0PDEp9DEedZtmwZjI2NpYutrW2p4qnM3N3d8dtvvyEmJgbr169HZGQkPD09YWdnh1mzZpXJY61EVPnJnYSlpKTA3t6+yPXm5ub8H/kKxtDQEPv27cPTp0/xxRdfcM4UIlIbjo6OWLVqFaKiorBlyxa4ubnh8uXLJT6etbU1gP89lvhfMTExMDQ0hLGxcYnPAQAmJibQ19d/53nejue/Zs2ahZSUFOnCx+zez8jICOPHj0dgYCD8/f0xcOBAbNy4EXXq1EGbNm2wefNm3lEkomKTOwmztLTEzZs3i1x/5coVWFlZlSooUj5XV1ds3LgRf/31F/744w9Vh0NEpFR6enr47LPP4OfnBz8/vxK3g5aWlrCxsSm0n8zMzMT9+/fRokULaGiUaFwsKQ0NDTRt2hTBwcHSu15vCwgIgIODQ5HvjOnq6qJq1aoyCxWPRCJB06ZNsW7dOsTExGD37t0wMjLC559/DgsLC3z44Yc4evRokXcpiYiAEiRhPXr0wOLFi3Hp0iVpmUQigRAC//zzD+bPnw9PT0+FBknKMXz4cHz++ef48ssvce3aNVWHQ0SkEk2bNsXIkSNLvP/w4cMRGhoKHx8fmfJt27YhKysLI0aMKG2I0vNkZmZi165dMuXe3t6IjIxU2HmoaHp6ehg6dCi8vb0RERGBhQsX4sGDB+jbty+srKzwxRdfwNfXV2EDvxBR5SH3PGFxcXFo2bIloqKiYGtri8jISDg4OCAxMRGpqamws7PDjRs3UKNGjbKKWWHUfV6Uwrx69Qpdu3bFo0ePcP36ddSqVUvVIRFRGWNbqFgpKSlo2rQp0tLSsGzZMtSpUwfXr1/H3Llz0bx5c5w/fx4aGhrYvn07Ro8ejV9++QUTJ04EALx8+VJmfrG+ffsiIyMDZ8+elZa5ublBR0cHOTk5aNeuHYKCguDl5YVmzZrh/v37mDlzJszMzODv71/sd89YBxTr7t272LlzJ3bt2oXIyEjY2tpiyJAhGDp0KFq0aAGJRKLqEImoEMpsC0s0WfPz58+xdOlSHD9+HBEREZBIJKhVqxY8PT0xc+ZMVK9evSxiVTh2OoVLSEhAq1atoK+vj8uXL5f63QUiKt/YFipeXFwc5s6di+PHjyMxMRE2Njb48MMPMW/ePOmgGn/++Sc+++wzrF27FpMmTQIAXLhwAZ06dXrnscPCwqRfkKWmpmLBggXYv38/YmNjYW5ujr59+2LRokUwMzMrdrysA2UjLy8Pvr6+0nlU4+PjYW9vL03ImjVrxoSMqBwp90lYZcFOp2gPHjxAq1at0LJlSxw7dqzQyUCJqHJgW0isA2UvNzcXly5dkiZkCQkJsLW1Rf/+/TFgwAC0a9cOWlpaqg6TSK0psy0s3ZvBVGnVrVsX+/fvx/nz5zF58mSOmEhERFQKmpqa6NixI9avX4+YmBicO3cO/fr1w4EDB9C5c2dYWlpi9OjROHLkSKnnkSOi8q9Yd8Jq164t30ElEjx58qTEQSkLv/l7vy1btmDs2LFYvXo1pkyZoupwiKgMsC0k1gHVEULA398fBw4cwMGDBxESEgI9PT106dIFffr0gaenZ5FTDRCRYpW7xxHNzMxknlnOyspCWloaJBIJjIyMkJeXh7S0NABA9erVUaNGDdy/f7/solYQdjrFM3PmTPzwww84ePAg+vXrp+pwiEjB2BYS60D5ERISgqNHj+LYsWPw9fVFbm4uGjduDE9PT/Ts2RMtWrSApqamqsMkqpTKXRL2tidPnmDAgAGYOnUqBg0aBCMjIwBAYmIi9u7di19++QXHjh2T++6ZKrDTKZ68vDwMHToUx48fh7e3Nzp06KDqkIhIgdStLZwxYwZMTEwwa9asQtcvX74cycnJMDY2RvPmzdG1a1clR6h86lYHKooXL17A29sbR48exalTp5CUlAQTExN069YNPXv2RPfu3WFpaanqMIkqjXKdhPXr1w+dOnXCN998U+j65cuX4/Llyzh69Kgi4itT7HSK79WrV/D09MT169dx9uxZtGzZUtUhEZGCqFtbqKGhARsbG0RERBS63sHBAREREZgxYwZOnz6NDz/8EDNmzFBylMqlbnWgIsrNzcWNGzdw8uRJeHt7w9/fH0IINGrUCB988AE++OADtGvXDvr6+qoOlajCKtdJmImJCQ4dOlTk3ZCLFy+if//+SEpKUkiAZYmdjnzS09PRvXt3BAUF4cKFC2jUqJGqQyIiBVC3tvDixYvQ1dVFq1atCl1//fp1vHr1StrPPXv2DObm5soMUenUrQ5UBs+ePcPp06dx5swZnDlzBrGxsdDV1UXbtm3xwQcfoHPnzmjSpAkfXSSSQ7lOwgwNDbF27VqMHj260PV//vknvvzyS6SnpyskwLLETkd+KSkp6Ny5MyIjI/Hvv/+ibt26qg6JiEqJbSGxDlRsQggEBwdLE7KLFy8iPT0dxsbG6NChAzp16oTOnTujQYMG0NDgwNhERSnXSVjHjh3x8OFD/Pbbb+jevTv09PQAANnZ2Th+/Di++OILODk5wdfXt0wCViR2OiXz/PlzdOzYEUlJSbh06VKFeP+PiIqmLm3h48ePMW/ePAQEBMDY2Bh9+vTBtGnTYGhoqOrQVE5d6oC6yM7Ohp+fH3x8fHD+/HlcuXIFWVlZMDU1Rfv27dG+fXt06NABbm5uvFNG9JZynYT5+/ujc+fOSE9Ph0QikQaYmpoKIQR0dXVx5swZtGnTpkwCViR2OiUXGxuL9u3bIzc3F//++y9sbGxUHRIRlZA6tIUxMTFo3LgxEhISIJFIpHMfNmzYEJcvX0aVKlVUHKFqqUMdUGevXr3C1atXceHCBVy8eBHXrl1DVlYWqlatirZt26J9+/Zo06YNmjVrJv1ynUgdleskDACio6Px66+/4sqVK4iLi4MQAubm5mjZsiUmTJgAJyensohV4djplE5ERATatWsHLS0tnD17Fg4ODqoOiYhKQB3awq+++go7duzA1q1b0b17d7x8+RJ79+7Fd999h4kTJ2LFihWqDlGl1KEO0P9kZWXhxo0b+Pfff3Hx4kVcvXoVaWlp0NHRQfPmzdGmTRu0bdsWHh4eMDMzU3W4REpT7pOwyoKdTumFh4eja9euyMjIwNmzZ+Hq6qrqkIhITurQFrq4uGDcuHH49ttvZcpXrFiBn3/+GbGxsSqKrHxQhzpARcvJycGdO3dw+fJl+Pr6wtfXFzExMQAAJycneHh4SJcGDRpAS0tLxRETlQ0mYUrCTkcx4uLi8MEHHyAuLg6nTp1CkyZNVB0SEclBHdpCPT09nDp1qsDIvqGhoXB2dkZkZCRq1qypouhUTx3qABWfEALh4eG4evWqdLl16xZycnJgaGiIZs2aoUWLFmjRogVatmwJGxsbSCQSVYdNVGpMwpSEnY7ivHjxAj179sSDBw9w/PhxtG3bVtUhEVExqUNbqKGhAX9//wJfEuXk5EBHRwd3795F/fr1VRSd6qlDHaDSycjIQEBAAK5evYobN27gxo0biIyMBABYWlqiRYsWaN68OZo1a4amTZuiRo0aKo6YSH7KbAt5P5kUonr16jh79iz69u2Lbt264eDBg+jevbuqwyIieqf8x6pyc3NVHAlR+WZgYIB27dqhXbt20rLY2FhpQnbjxg2sXr1aOk+svb29NCFr0qQJmjRpwsSM6C1MwkhhjIyMcOLECQwZMgR9+vTBtm3b8PHHH6s6LCIiAODjUkQKZmVlhX79+qFfv34A3jzGGBYWBn9/f+myfPlypKamAgBsbGykCZm7uzvc3d1hZ2fHf5uklpiEkULp6+vj4MGDGDt2LD755BM8fPgQ8+fPZwNLRCo3Y8YMeHh4oGHDhnBzc4OLiwvbJiIFkkgkqF27NmrXro2hQ4cCAPLy8hAWFobAwEDpsm7dOjx//hwAUK1aNbi7u6NRo0bSn66urhwqnyq9YiVhjRo1wp9//onGjRujdu3aOHr0qFo/O0/vpq2tjT///BMuLi6YO3cuHj58iC1btrBBJSKVsbS0xLlz53Du3Dlp4qWrq4t69epBIpHg7NmzMDQ0hKOjo4ojJapcNDQ04OjoCEdHRwwZMgTAmztmMTExuHXrlnQ5ceIE1qxZAwDQ1NREnTp14ObmBjc3NzRs2BANGzbkXTOqVIo1MIeOjg527dqFwYMHQ0NDAwEBAWjcuLHCgwkNDcWiRYvg7e2NpKQk2NjYoHnz5li0aBFcXFxktr137x7mz5+Pf//9F6mpqbCzs8OHH36IefPmFft/9vkictnbs2cPRo4ciSZNmuDQoUN8HpyoHFKXtjAuLg7+/v4ICAiQLvlD0+f/j121atWkI78tXrxYleEqlbrUASrfXr58iaCgINy5c0dmSUlJAfDmtYcGDRrILPXq1YOFhQWTM1KIcjc6YsOGDfHw4UPUrFkT4eHhqFmzJnR0dIo+qESCJ0+eyBVIcHAwWrduDWNjY8yZMwd169bFzZs3sXDhQkgkEty6dQu2trYAgPv376Nly5awtrbGwoULYWNjg0uXLuH7779H586dceLEiWKdk52Ocly/fh19+/aFoaEhjh07hnr16qk6JCJ6izq3hbGxsQUSs7i4OEgkErUarEOd6wCVb0IIREZG4t69e9Ll7t27uH//PrKysgC8GRysXr16qFevHurXrw9XV1e4urrC2tqayRnJpdwlYVeuXMHUqVPx7NkzhIeHw9LS8p1JGACEhYXJFciAAQNw+PBhBAcHo27dutLyv/76CyNGjMCcOXPg5eUFAOjXrx9OnjyJkJAQODg4SLddunQp5syZg6NHj8LT0/O952SnozxPnz5Fnz59EBERge3bt0tf4iUi1WNbKCsmJgYBAQHo06ePqkNRGtYBqmhycnLw5MkTBAcHIzg4GEFBQQgODsaDBw+kyZmRkRHq1q0rTcrq1q2LunXrwtHREdra2iq+AiqPyl0S9rai5lopLW9vbyQnJ+Ojjz6SKb9//z7q1auHTz75BDt37sTLly9RvXp1dO7cGadOnZLZNjY2FjVr1sSwYcOwY8eO956TnY5ypaamYuTIkTh06BBmzJiBJUuWSIeHJiLVYVtIrANUWeTm5iIsLAz379/H/fv3ERwcLP395cuXAN5MTVG7dm3UrVsXderUQZ06deDi4gIXFxeYm5vz7pkaK9fzhPn4+KBOnToKD6RHjx6FlgcFBQEAateuDQC4c+cOcnJy0KhRowLbWllZwczMDH5+fgqPj0qvatWqOHDgAFatWoWZM2fi+vXr+Oeff2Bpaanq0Iiokhs9erRc20skEmzZsqWMoiGisqKpqQknJyc4OTnJ3M0WQiAuLg4PHjxASEgIQkJC8ODBA+zbtw9Pnz5F/j2JqlWrwsXFBc7OztLFyckJzs7OMDU1VdVlUSUk952wfGfOnMH58+cRHR0NiUQCOzs79OjRA23atFFYcAkJCWjevDmSkpLw6NEjmJubY//+/Rg8eDB+/PFHTJ8+vcA+9evXR2RkpHROirdlZWVJb1EDb7JdW1tbfvOnApcuXcKHH34IIQT++ecfdOjQQdUhEaktdbgLoqGhIfO3RCJBYd1ffjnfCSNSH69evUJoaCgePnwoszx69AhxcXHS7UxMTODs7AxHR0c4OTnJ/OTgIJVDub4T9urVK/Tv3x9nzpwp0IEtXboUQ4cOxc6dOwt0ePKKiYmBp6cnoqOjceTIEZibmwMAMjIyAKDId9J0dXWl2/zXsmXLsHDhwlLFRYrRrl07BAYG4uOPP0bnzp2xZMkSfPvtt9DU1FR1aERUCd29e1f6e1paGsaNG4cmTZpg8ODBsLGxkc5ltHfvXoSGhuKff/5RYbREpEx6enrSgT3+6+XLl3jy5AkePXqER48e4fHjx3jy5AkuXryImJgY6XaGhobSOdJq164NR0dH1K5dGw4ODqhVqxan6aEC5L4TNm/ePCxbtgwTJ07EwIEDYW1tDQCIjIzEvn378Pvvv+OHH37A1KlTSxxUYGAg+vbti5SUFOzdu1fmUcXi3AmLioqSDmf6Nt4JK39ycnIwf/58LF++HO3bt8e2bdtgb2+v6rCI1Iq63QWZPHkytLW1sXr16kLXjxs3Drq6uli3bp2SI1MddasDRIqQkZGB0NBQPH78GKGhoXjy5In059OnT/H69WvptjVr1oSDg4NMYpb/08bGhu/IlxPlemAOV1dXDB06tMg7SjNmzMCpU6dw+/btEgV09OhRfPTRR7CyssKhQ4fQoEEDmfXXrl2Dh4cHpk2bhpUrVxbY38TEBFZWVggODn7vudjplB8XLlzAyJEjkZycjHXr1mH48OG8rU+kJOrWFtasWRPbt29H165dC11/5swZjBw5UuZb7spO3eoAUVnLzc1FVFQUwsLCEBYWhtDQUJnf337MUVNTEzY2NqhVqxbs7e0LLHZ2dtDV1VXh1aiPcv044tOnT9GxY8ci13fr1g2//vpriYI5fvw4Bg8ejFatWuHgwYOoXr16gW3c3Nygq6uLmzdvFlgXGhqK5ORkDBgwoETnJ9Xp2LEj7ty5g8mTJ2PEiBE4evQofvvtN74ES0QK9+LFC6SlpRW5PiMjAy9evFBiRERU2WhqakqTqML+v/nVq1eIiIjA06dPZZbHjx/j7NmziI2NlXntx9LSEnZ2drCzs5MmZnZ2drC1tYWtrS1q1KjBL68rGLmTMC0tLaSnpxe5Picnp0SVIDg4GEOGDEGrVq3g7e0NfX39QrczMDDAgAEDsHfvXjx+/BhOTk7Sdb///jsAYMSIEXKfn1TP2NgY27dvR58+fTB+/Hg0bNgQW7ZsQc+ePVUdGhFVIs7Ozvjhhx/Qpk0b1KhRQ2ZdQkIClixZIjMHJRGRounp6UmHxS9MdnY2IiMjER4ejvDwcERERCAiIgLh4eG4ffs2IiIiZF6x0dPTg42NjTQpy//97Z/Vq1dnolaOyP04YqtWreDk5FTkPFzDhw/Ho0ePcP36dbkC6dKlCy5evIh9+/bBxsamwHpdXV00bNgQABAeHo5mzZrBxMQEXl5esLa2xunTp7FkyRJ88skn2L59e7HOyccvyq/o6GiMGTMGp06dwieffIKffvpJOjgLESmWurWFO3fuxKeffgodHR00btwYVlZWAIBnz57Bz88POTk52LBhA8aNG6fiSJVH3eoAUUUnhEBCQgIiIyMRERGByMhI6e9RUVGIjIxETEyMzCivenp6sLa2ho2NjXSxtraGtbU1atasCWtra1hZWan1+2nl+p2wrVu3YsyYMWjfvj0GDx4MW1tbCCEQERGB3bt349q1a9i2bRuGDx8uXyDvyczt7e3x9OlT6d+PHj3C3Llzce7cObx8+RK1a9fGqFGjMH369GKPsMdOp3wTQmDHjh2YMmUK8vLysGrVKowaNYrf4hApmDq2hYcPH8aKFSvg7++PnJwcAG+GsXd3d8eUKVMwbNgwFUeoXOpYB4gqu9zcXMTFxUmTsujoaERFRSEqKgrR0dHSRC07O1u6j0QigYWFhTQxy1/y/7ayskLNmjVhZmZW6pHQy6NynYQBwNy5c/HDDz/IPHoohICuri7mz5+PWbNmKTzQssBOp2JISEjAtGnT8Ndff6FTp07YuHEjnJ2dVR0WUaWhzm1hTk4Onj9/DiEETE1Ni5z+pLJT5zpApM6EEEhMTER0dLTMEhMTI7M8e/ZM5h01LS0tWFpawsrKSmZ5u8zS0hIWFhYVql0t90kYAMTFxeHcuXOIioqCRCKBvb09unTpAjMzM0XHWGbY6VQsp0+fxoQJExATE4OZM2dixowZMDAwUHVYRBWeOrSF586dQ4cOHdT6MZt3UYc6QEQl9/r1a8TFxSE2NhYxMTGIjY2VLjExMdJ18fHxyMvLk9nX1NQUlpaWMouFhUWBn2ZmZiqfL7ZCJGGVATudiic9PR2LFy/GTz/9BEtLS/z4448YMmQIH1EkKgV1aAs1NDRQtWpVfPDBB+jbty969uxZob40LGvqUAeIqOzl5uYiISEBsbGxiIuLK7DkJ2pxcXFITU2V2VdDQwNmZmawsLCQWczNzWFubi7zu7m5eZlMgM0kTEnY6VRcjx8/xvTp03H48GG0b98ea9asgbu7u6rDIqqQ1KEtvHz5Mo4ePYpjx44hODgYmpqaaN68Ofr27YvevXtLB35SV+pQB4iofMnMzER8fLw0Kcv//b9LQkICkpKSCuxvZGQkk5TVqFFD+rOwpThzrTEJUxJ2OhXfmTNn8M033+DBgwcYO3YsFi5cCEtLyzI5V3p6OqpUqQIASEtLg6GhYZmch0jZ1K0tDAsLw+HDh3Hs2DFcunQJOTk5sLW1RZ8+feDp6YlOnTqV+h2GiIgIzJs3D6dPn0ZiYiIsLCzQr18/LFq0qNA5MN+WmZmJxYsXY+/evQgPD4eRkRE6dOiAxYsXo379+tLtFixYgIULFxZ5nL///hsfffRRseJVtzpARBVLdnY2EhISEB8fj2fPnkmTs4SEBDx79ky65JdlZGQUOIaRkZFMUmZmZib9mb/o6+ujW7duTMLKGjudyuH169fYsGEDvv/+e2RlZeGbb77Bt99+i2rVqin0PEzCqLJS57YwNTUVJ0+exJEjR+Dt7Y2kpCQYGhqia9euOHjwYImOmZCQAHd3dwghsHTpUri4uOD27duYPXs27O3tcePGjSKTPCEEevTogQsXLmD+/Pno2LEj4uLiMH/+fERHR+PGjRvSeYXyk7AjR45Ih9l/m6OjI0xMTIr9OahrHSCiyic9PV0mSXv+/DkSEhKkP/OXxMREJCQkIDk5WWZ/pbSFQo2lpKQIACIlJUXVoZACJCUlidmzZwt9fX1hYmIifvjhB5GRkaGw46elpQkAAoBIS0tT2HGJVE0d2sKcnJxibXPx4kUxbdo0UadOnRKf66uvvhIAxKVLl2TKd+7cKQCItWvXFrnvgQMHBADh5eUlU/706VOhra0tBg0aJC37/vvvBQARFhZW4ljzqUMdICIqSnZ2toiLixNXr15VWltYogH+IyMjFZMBEr0lPT0dEokEEokE6enpcu9frVo1LFmyBE+ePMHHH3+M2bNnw8nJCRs3bpSZVb4yK+1nSFRZValSBa1atcKXX36JP/74A7dv35aZxBQANDU10b59e6xcuRIPHjwo8bl2794NFxcXtG3bVqZ8yJAhMDQ0xD///FPkvvnrPvvsM5lye3t7dOrUCUeOHCn0MRsiIio5bW1tWFhYoF69eko7Z4mSsDp16sj8PWLECERFRSkkIKLSsrKywq+//ooHDx6gQ4cO+OKLL+Dk5IR169YhMzNT1eERkQoMGDAAycnJ2LBhA8aOHYsmTZrAyMgILVu2xMSJE7FlyxbcunVLOnFzSUVHRyM+Ph6NGjUqsE5bWxuurq4IDAwsMIRzvsDAQNSoUQM1a9YssM7NzQ2vX7/G7du3SxUjERGpXrGSsLp162LkyJH49ddf4efnV2D9jh078OLFC4UHR1Qajo6O2LVrF+7du4cOHTrg66+/Ru3atbFq1SreJSJSM7t27cKDBw+QnJwMHx8f/Pjjj9LEbOPGjRg3bhyaNm0KIyMjtGjRAhMnTizReeLi4gAA5ubmha43NzdHZmZmgfcP3t7/XfsCQGxsrEz5hg0b0KBBA+jq6qJq1aro2rUrzpw58844s7KykJqaKrMQEZHyFCsJ27VrFzw8PBAQEIDPPvsMWVlZaNOmDWbNmoWTJ08CAOdponKrXr162LFjB0JCQtCrVy/MnDkTtWrVgpeXFxITE1UdHhEpUf5Ig1OnTsXOnTsREhKC5ORkXLhwAT///DMGDx6MmzdvYuPGjSU6fv6jgkUNvJE/RHJRjxRmZGTIve/t27exePFiXLhwAatWrcKjR4/QvXt37N27t8g4ly1bBmNjY+lia2v77gsjIiKFKlYS1qRJE0yYMAF//PEH7t27Bx0dHcyfPx8SiQRLliwBAHh6euLjjz/GL7/8ghs3bpRp0EQl4eTkhC1btuDx48cYMmQIlixZAltbW0ycOBGPHj1SdXhEpCJGRkaoW7cu4uPjcfLkSeTm5pZ43jADAwMAb4ZTLkz++6lFja5qYGBQ7H2nT5+OuLg4nDx5EgMGDICHhwfGjRuHCxcuQF9fH9OnTy8yzlmzZiElJUW68F1vIiLlKtE7YRKJBN27d8fSpUvh6+sLAFi6dCk6duyI27dvY8yYMQoNkkiR7O3tsX79ekRERGDWrFnYv38/6tSpg/79++PSpUsQxZi1ITo6WgmRElFZy59j0N7eHkuXLkWTJk3g7e2NW7duleh41tbWAP73WOJ/xcTEwNDQEMbGxkXu/6593z5HlSpVYGFhUWA7BwcHtGzZEhEREYiPjy/0WPmPLr69EBGR8hQrCdu9ezfCwsLeuU3Dhg0xfvx4bNmyBXfv3lVIcERlqUaNGpg3bx7Cw8OxadMmPHr0CO3bt0fTpk2xadOmAu+Nbdu2Tfq7q6srtmzZouyQiUhBLly4AE9PTzRo0AB//fUXhgwZglu3buH06dPo1q1biY9raWkJGxsb3Lx5s8C6zMxM3L9/Hy1atICGRuHdb/PmzZGYmFjonamAgADo6+vDzc1NWlbUyK/57Ze+vn5JLoOIiMpYsZKwnTt3onXr1jA3N0fv3r2Rk5OD06dPc5hcqhT09PQwZswY3Lt3DydPnoSNjQ3Gjx8Pa2trfP3113jw4AGioqIwefJk6T55eXkYP348RwUlqkDy8vLwzz//oHnz5ujSpQt8fX0xZcoUhIaGYvv27TLJTWkMHz4coaGh8PHxkSnftm0bsrKyMGLEiHfuCwCbN2+WKQ8KCsLly5cxdOhQ6OnpIScnB/b29mjQoEGBRCw4OBi3bt1CixYteIeLiKi8kmdSsfDwcLFnzx6hpaUlWrVqJQwNDYWHh4fQ0NAQK1euFI8fPy6j6czKBienLF/K02TIYWFhYtasWaJGjRoCgHB3d5fG9vbi4+Oj0jj/qzx9hlRxqENb+NNPP4latWoJDQ0NYWtrK1auXClSU1PL5FzJycnC0dFRWFhYiD/++ENcvnxZrF69WhgYGIgOHTqI3NxcIYQQ27ZtE5qamuLXX3+V2X/w4MFCS0tLLFq0SPj6+oq///5bODg4CEtLSxEVFSXdbsOGDQKAaNOmjdizZ4/4999/xa+//iqsrKyEvr6+uHLlSrFjVoc6QET0PspsC+VKwvLp6+sLIYRIT08Xp0+fFhKJRLRr107UrFlTmJqaiu7duys0yLLCTqd8eTuBCAkJUXU4QgghXr16JXbt2iVatGhRIAHT1NQUkZGRqg5RRnn8DKn8U4e2UCKRCE1NTfH555+LuLi4Mj9fbGysGDNmjLC0tBTa2trCwcFBzJw5U6Snp0u32bp1qwAg1q5dK7NvVlaWWLhwoXB2dhba2trC3NxcDB8+XISFhRU4z4kTJ0SXLl1E1apVhZaWlrCyshIff/yxCAoKkitedagDRETvo8y2UCJEMUYh+A99fX2ZSW81NDRw69YtuLm5ISoqCv7+/ujfv7+8h1W61NRUGBsbIyUlhY9slAPr16/Hl19+CeBNnfr999/L1SAvCxYswMKFC6V/W1tbY9q0afjoo49gZWWlwsj+p7x/hlQ+qUNbWLNmTemAFxKJBDVr1kTTpk3RpEkT6c/y8u9YFdShDhARvY8y28ISJWEZGRnSYXiBN0PdfvPNN7CwsEBubi4uXLiALl26KDTQssBOp/yIioqCvb098vLypGWampp4+vQpbGxsVBjZ/6Snp6NKlSoAgN9//x1nzpzB4cOHkZOTg86dO2PYsGEYMGBAkaOelbWK8BlS+aQubWFcXBz8/f0REBAgXWJjY6XzXFpYWEiTsqZNm6Jv374qjlh51KUOEBG9S7lPwv4rKSkJJ06cwNGjR3Hq1CmkpqYiNzdXEfGVKXY65YePjw86d+5caHnHjh2VH1Ah3k7C0tLSYGhoiKSkJOzfvx+7du3ChQsXoKOjgz59+uDjjz9Gjx49ZL6sKGsV4TOk8kmd28LY2Fj4+flJk7LAwEDExcVBIpFUiH5MUdS5DhAR5VNmW6hV0h0fPnyIo0eP4ujRo7hy5QpycnLg4OCATz/9FH369FFkjKQGnJ2doaGhUeAujpOTkwqjej8TExOMHTsWY8eORVRUFHbv3o2dO3di0KBBMDAwQO/evTF48GD06tVLmsCVlYr6GRKpkpWVFfr27Stz1ysmJgYBAQEqjIqIiCq7YidheXl58PX1lSZejx49goaGBlq1aoXFixejT58+qFevXlnGSpWYjY0N1q5dK32fSVNTExs3bqxQj9HZ2Nhg2rRpmDZtGh49eoT9+/dj3759+PDDD6Gnp4eePXtiwIAB6N27N6pXr14m56/onyFRWRk9erRc20skEn6hSEREZaZYjyMOHz4cJ0+eRHJyMqpWrYru3bvD09MTvXr1KpP/mVQWPn5Rvrz9uF9ISAhcXFxUHJGswh5HLI6wsDBpQnb9+nVoamqibdu20m/fFXmnqrx/hlQ+qUNb+N/JkSUSCQrr/vLL+TgiEZH6KXfvhNWpUweenp7w9PREu3btoKVV4qcYyxV2OuVLSZMcZVFEfLGxsTh69CiOHDmCs2fPIisrC66urujVqxd69uyJtm3bQldXV6UxkvpRh7YwKChI+ntaWhrGjRuHJk2aYPDgwbCxsUFeXh7CwsKwd+9ehIaG4p9//kHt2rVVGLFyqUMdICJ6n3KXhFVW7HTKl/KeQCg6vvT0dJw5cwZHjhyBt7c3YmNjYWhoiM6dO6Nnz57o0aMHHBwcVBojqQd1awsnT54MbW1trF69utD148aNg66uLtatW6fkyFRH3eoAEVFhlNkWarx/EyIqC4aGhujfvz/++OMPREdH4+bNm5g7dy5SUlIwefJk1K5dG05OTpgwYQL27duHxMREVYdMVCns378fvXr1KnL90KFDceDAASVGRERE6qZyPFdIVMFJJBK4u7vD3d0dM2fOREpKCs6fP49z587h7Nmz2LhxIyQSCZo0aYIuXbqgQ4cOaNu2Lb+xJiqBFy9eIC0trcj1GRkZePHihRIjIiIidcPHEfn4RbnBR+mKFhkZiXPnzuHMmTPw8fFBbGwsNDQ00KRJE3Ts2FGalGlra/MzJLmpW1vYsGFDGBkZ4fDhw6hRo4bMuoSEBPTu3RsvX77E/fv3VRSh8qlbHSAiKkyFmCeMiJTH1tYWo0aNwqhRoyCEwKNHj3Dx4kVcvHgRf//9N1auXAmJRAJXV1fpPk+fPkW9evUgkUhUGDlR+TNz5kx8+umnsLW1RePGjWFlZQUAePbsGfz8/JCTk4MNGzaoOEoiIqrMmIQRVTASiQQuLi5wcXHBuHHjIIRAaGgofH194ePjg+DgYABAgwYNULNmTXh4eKBVq1Zo2bIlmjZtCgMDAxVfAZFqDRs2DFWqVMGKFSvg7++PnJwcAG+GsXd3d8eUKVMwbNgwFUdJRESVGR9H5OMXVAklJibiypUruHz5Mq5duwY/Pz9kZGRAU1MTjRo1QsuWLdG8eXM0a9YMrq6ulWbaCSoZdW4Lc3Jy8Pz5cwghYGpqCh0dHVWHpBLqXAeIiPJxiHolYadD6iInJwf37t3D9evXce3aNVy7dg0hISEQQsDAwACNGzdGs2bN0KxZMzRu3Bh16tRhYqZG2BYS6wAREZMwpWGnQ+rs5cuXuHnzJvz9/eHn5wd/f388fvwYAKCnpwc3Nzc0btwYTZo0gbu7O+rXr8+BPioptoXEOkBExIE5iEgJjIyM0L59e7Rv315alpKSglu3buHmzZsIDAzE5cuXsXnzZuTm5kIikcDJyQlubm5wc3NDo0aN0KBBAzg4OEBDg1MOEhERERUXkzAikjI2NkaHDh3QoUMHaVlmZiaCg4Nx584d3LlzB7dv38aaNWuk8ygZGBjA1dUVDRo0QP369dGgQQO4urrCzs6uQHJWEaYhKO8xlvf4iIiI6P2YhBHRO+nr66Np06Zo2rSptEwIgZiYGAQFBeHevXvSn/v27UN6ejqAN8lZ3bp14erqKl1sbW1VdRlERERE5QaTMCKSm0QigbW1NaytrdGtWzdpeV5eHiIiInD//n3cv38fwcHBuH//Pk6cOIGkpCSZY/Tv3x/169eHi4sLnJ2d4ezsDFtbW2hqair7coiIiIiUikkYESmMhoYGatWqhVq1aqFnz57SciEEEhIScOvWLXTv3h0AoKOjA29vb/z666/SeZp0dHTg6OgIJycnODk5wdHREbVr14ajoyNq1aqltsOHExERUeXCJIyIypxEIoG5uTnatGkjLfvpp5/g4uKCnJwchIeH4/Hjx3j06JF0OX78OMLCwvD69WsAbxI8W1tbODg4yCy1atWCg4MDrKysFD5ASHR0NFxcXBR6TEUq7/ERERFR4ZiEEZHSbNu2Tfq7q6srfv/9d4wZMwaOjo5wdHSU3iXLl5ubi6ioKDx58kS6PH36FEFBQTh27BgSEhKk2+ro6MDW1ha1atWCvb299KetrS3s7OxgY2MDXV3dEsdYXpT3+IiIiOj9OE8Y50UhUoqoqCjY29sjLy9PWqapqYmnT5/CxsamRMdMS0vD06dPERYWhvDwcISHh+Pp06fS3589eyazvYWFBezs7GBrawsbGxvY2NjI/J6XlwdnZ2eFxqhIZfEZAmwLiXWAiAjgPGFEVAk9evRIJnkA3tzpevz4cYkTiCpVqqBBgwZo0KBBoeszMzMRGRmJyMhIREREICIiAuHh4YiKisKZM2cQGRmJtLS0d54jNzcXa9asQadOnVCzZk3UrFkTZmZmKpkbrSw+QyIiIlI+JmFEpBTOzs7Q0NAocBfHycmpzM6pr68PFxeXd743lZqaisjISERFReHu3buYMWMG/vuAwMqVK7Fy5Urp31paWrC0tISlpSWsrKwK/G5hYSH9qch5vFTxGRIREZHiMQkjIqWwsbHB2rVr8eWXXwJ4kzxs3LhR5Xdwqlativr166N+/fro3r07DAwMCsQ4YsQIxMfHIzY2FjExMdIlLi4OcXFxCAwMRFxcHOLj46UjPearUqUKLCwsYGFhAXNzc5ibm0t/t7CwQI0aNVCjRg2Ym5ujevXq7xyiv7x+hkRERCQfvhPGZ+CJlCY9PR1VqlQBAISEhJTLkf1KE2NeXh5evHghTcje/vns2TM8e/YM8fHx0t+zs7Nl9pdIJDA1NZUmZmZmZgV+GhoaYsCAAQCAgIAANG7cGBKJpFTXzLaQWAeIiPhOGBGpAWtra1WH8F7yxqihoQEzMzOYmZkV+Z5aPiEEUlJSkJCQgISEBDx79kzm9+fPn+P58+d4+vQpnj9/joSEBGRmZsoco2nTptDW1oapqWmBpXr16tKf/11MTExgYGBQ6uSNiIiISoZJGBGRCkgkElSrVg3VqlWDs7NzsfbJyMhAZGQk6tatCwDYunUr0tLS8OLFCyQmJkqXO3fuIDExES9evEBycnKBd9wAQFtbGyYmJjAxMeGdDyIiIiVjEkZEVEEYGBjIvP81ZMiQ9w78kZubi5SUFLx48UK6JCUlyfyMj4+Hn59fWYdPRERE/49JGBFRJaapqSl9DLEoqamp2LVrlxKjIiIiUm9MwohIaQwNDQt9NK48Ke8xlvf4iIiI6P2UP9soERERERGRGquwSVhERARGjhwJKysr6OjowNbWFpMmTcKLFy9UHRoREam50vRRmZmZmD17NpydnaGjowNTU1MMHDgQQUFBBbZ98eIFJk2aBHt7e+jo6MDS0hIjRoxAREREWVwWEREpSIV8HDEhIQEeHh4QQmDZsmVwcXHB7du3MXv2bPj6+uLGjRvQ0dFRdZhERKSGStNHCSHQv39/XLhwAfPnz0fHjh0RFxeH+fPno02bNrhx44Z07rpXr16hY8eOCA8Ph5eXF5o2bYonT55g9uzZaNOmDW7dugVTU1NlXjoRERWXqIC++uorAUBcunRJpnznzp0CgFi7dm2xjpOSkiIAiJSUlLIIk4ioQmBbqFil6aMOHDggAAgvLy+Z8qdPnwptbW0xaNAgadnq1asFALFjxw6ZbS9fviwAiGnTphU7ZtYBIiLltoUSISreG96WlpYwNjZGSEiITPnr169hYmICd3d3+Pr6vvc4ypwVm4iovGJbqFil6aM+/PBD7NmzB9HR0ahZs6bMuu7du8PHxwfJyckwMDBAy5YtERQUhKSkJGhra8tsW6dOHaSnpyMqKqpYMbMOEBEpty2scO+ERUdHIz4+Ho0aNSqwTltbG66urggMDEReXp4KoiMiInVW2j4qMDAQNWrUKJCAAYCbmxtev36N27dvIzc3F7dv30a9evUKJGD520ZHRyM2Nrb0F0VERApX4ZKwuLg4AIC5uXmh683NzZGZmYnk5GQlRkVERFT6PiouLu6d+wJAbGwskpOTkZWVVaxtiYio/KlwA3NkZGQAQJEvNevq6kq3++/kpFlZWcjKypL+nZKSAuDNrUciInWV3wZWwKfTy53S9FH55cXZV57zFIb9IRFRQcrsDytcEmZgYAAAyM7OLnR9fqdiaGhYYN2yZcuwcOHCAuW2trYKjJCIqGJKTEyEsbGxqsOo0ErTR+XvX5x9S3se9odEREVTRn9Y4ZIwa2trAP975OO/YmJiYGhoWOgHN2vWLEydOlX6d3JyMuzt7REREaG2/+ORmpoKW1tbREZGquXL2Op+/QA/A3W/fuDNXRA7O7tC78yQfErTR+Xv/65987cxMTGBvr5+sbYtDPvDgtS9LVD36wf4GQD8DJTZH1a4JMzS0hI2Nja4efNmgXWZmZm4f/8+WrduDQ2Ngq+76erqSh/ReJuxsbFaVrS3Va1aVa0/A3W/foCfgbpfP4BC202ST2n6KABo3rw5duzYgcjIyAJ3pQICAqCvrw83NzdoaGigadOmCAgIQFZWVoG+LSAgAA4ODkW+M8b+sGjq3hao+/UD/AwAfgbK6A8rZI87fPhwhIaGwsfHR6Z827ZtyMrKwogRI1QUGRERqbvS9FHDhw8HAGzevFmmPCgoCJcvX8bQoUOhp6cn3TYzMxO7du2S2dbb2xuRkZHsC4mIyrEKOU9YSkoKmjZtirS0NCxbtgx16tTB9evXMXfuXDRv3hznz58vVgbLeVH4Gaj79QP8DNT9+gF+BopW3D5q+/btGD16NH755RdMnDhRuv+QIUNw6NAhzJ8/H507d0ZkZCRmz56NzMxM+Pv7Sx8xzMnJQbt27RAUFAQvLy80a9YM9+/fx8yZM2FmZgZ/f/8i3wn7L9YBfgbqfv0APwOAn4Eyr7/CPY4IvHlcwtfXF3PnzsXs2bORmJgIGxsbfPXVV5g3b16xbyHq6uri+++/L/SRDHWh7p+Bul8/wM9A3a8f4GegaMXto/Ly8pCbm1tgzrCdO3di+fLl+Ouvv7B48WKYmJigW7duWLx4scw7XlpaWjh16hQWLFiAVatWITY2Fubm5hgyZAgWLVpU7AQMYB0A+Bmo+/UD/AwAfgbKvP4KeSeMiIiIiIiooqqQ74QRERERERFVVEzCiIiIiIiIlIhJGBERERERkRJV6iRs1KhRkEgkRS7Xrl2Tbnvv3j0MHDgQZmZm0NHRgZOTE+bMmYNXr16p8Arkl5KSghEjRkAikWDw4MGFbiPPtfr6+qJ79+6oVq0adHV1Ua9ePaxcubLAi+Tlyfs+g44dO76zXvx38tOK9BmEhoZi1KhRsLS0hK6uLhwdHfHRRx/h4cOHBbatjPWguNdfmesAANy9exeffPIJ7OzsoKuri5o1a+LTTz/Fo0ePZLarjHWACsf+kP0h+0P2h+wPy1l/KCqxkSNHCgDCz8+v0CUtLU0IIURwcLAwMjISdevWFbt37xaXL18Wy5cvF7q6uqJnz54qvoriO3PmjLCxsRHW1tYCgBg0aFCBbeS5Vh8fH6GtrS1atWolDh8+LC5duiS+++47IZFIxIQJE5R1WXIpzmfQoUMHYWVlVWS9eP36tXTbivQZBAUFCWNjY2FnZyc2btwoLl68KH7++WdhYmIiqlevLiIiIqTbVsZ6IM/1V9Y6IIQQ169fF1WqVBF169YVf/31l7h48aL46aefhLGxsTAxMRFPnz4VQlTOOkBFY3/I/pD9IftD9oflqz9UiyTsffr27Su0tbVFaGioTPmSJUsEAHH06NGyClFhYmNjhUQiEePHjxdBQUFFNrjyXKubm5swNTUVycnJMtuOGzdOABB37twpm4spoeJ+Bh06dBD29vbFOmZF+gz69+8vJBKJuH//vkz59u3bBQAxZ84caVllrAfyXH9lrQNCCNG6dWuhp6cnoqOjZco3b94sAIhZs2YJISpnHaCisT9kf8j+kP0h+8M3ykt/qPZJWGpqqtDS0hLdunUrsC4mJkYAEMOGDSurEBXm+fPn4uDBg0IIIcLCwgptcOW51uDgYAFAfP755wW2vXLlSoF/xOVBcT4DIYrf4FS0z+DkyZPi77//LlCefx2ffPKJEKLy1oPiXr8QlbcOCCHEH3/8IbZu3VqgPP9ahg8fXmnrABWN/SH7Q/aH7A/ZH75RXvrDCjlZsyLduXMHOTk5aNSoUYF1VlZWMDMzg5+fnwoik4+pqSn69+//zm3kudbAwEAAKHRbNzc3ACh3n0txPgN5VLTPoEePHoWWBwUFAQBq164NoPLWg+Jevzwq0vXn++yzzwotz38PwM3NrdLWASod9odvVIZ/A+wP2R8Whv3hG+WlP6zUA3PkW7RoEZycnKCjo4Pq1aujX79+8Pf3BwDpC4fm5uaF7mtubo7Y2FilxVqW5LnWd21raGgIAwODCv25ZGZmYtq0abC1tYW2tjYsLCzwySefyLyoWRk+g4SEBEyfPh1Vq1bF5MmTAahXPSjs+vOpSx14+fIl9u/fj7Fjx6JZs2aYMGGCWtUBksX+8A3+G/gfdWkL2R+yPyxv/aFa3Al78OABfvnlFxgbG8PPzw9eXl5o06YNzp8/j4yMDACAjo5Oofvq6upKt6no5LnWyv65JCYmIjMzE1u3boW2tjYuXryIFStW4OTJk7hx4wacnZ0r/GcQExMDT09PREdH48iRI9JGQ13qQVHXn08d6oBEIgEAaGpqYvz48Vi2bBmMjIzUpg5QQewP3+C/gf9Rh7aQ/SH7w/LYH1bqJGzNmjX48ccfUaNGDWlZmzZt4OHhgVatWmHWrFn4+uuvAQDZ2dmFHiMrKwuGhoZKibesGRgYACjetcqzbUVz4MABAED16tWlZR06dEDdunXx4YcfYvHixdi+fXuF/gwCAwPRt29fpKSk4OjRozKPJqhDPXjX9QPqUQcA4ObNm8jIyEBgYCBWrVqFU6dO4dChQ2pRB0gW+0NZ/Dfwhjq0hewP2R8C5bM/rNSPIxobG8t0OPlatmwJBwcH+Pn5wdraGgAKzIOQLyYmRrpNRSfPtb5r25SUFGRkZFTYz6V69eoyjU2+AQMGQEdHR/o8b0X9DI4ePYp27dpBT08PV69eLdDgVvZ68L7rByp/Hcjn7u6O1q1bY9KkSbh27Rri4+MxYcKESl8HqCD2h7L4b+CNyt4Wsj9kf5ivPPaHlToJA4rOVtPT06Gvrw83Nzfo6uri5s2bBbYJDQ1FcnIyWrVqVdZhKoU819q8eXMAKHTbgIAAAKiwn4sQAq9fvy5Q/vr1a7x+/Rr6+voAKuZncPz4cQwePBjNmjXDjRs30KBBgwLbVOZ6UJzrBypvHUhNTcW2bdtw+vTpAussLCxgY2ODgICASl0HqGjsD/+H/wbeqKxtIcD+kP1hBegPiz2OYgWTmJgojIyMRPv27UVeXp7MujNnzggAYujQoUIIIT766COhqakpHj16JLPdd999JwAIHx8fZYWtEO8ajlaea23VqpWoVq2aePHihcy2H374YaHHKE+K+gzu3bsndHR0xPDhwwvss2nTJgFAzJgxQ1pWkT6DoKAgoa+vL9q3by8yMjLeuW1lrAfFvf7KXAdevXolDA0NhYODQ4HPICoqSujo6AhXV1chROWsA1Q49ofsD9kfFq0y1gP2hxWjP6y0SZgQQsycOVMAEH369BGHDx8WFy5cECtWrBDGxsbCzMxM+kE9ffpUmJmZCWdnZ7F7927h6+sr5s+fLzQ1NcWnn36q4qsonujoaOns5keOHBEAROfOnaVl+ZPHyXOtN27cEPr6+qJFixbi8OHD4uLFi+LLL78UAMS8efNUcZnvVNzP4OOPPxYAxGeffSZOnDghzp07J+bMmSN0dXWFo6OjeP78ufSYFekz6Ny5s9DU1BQHDx4sdNb7tycQrIz1QJ7rr6x1QAghfvzxRwFAeHh4iD179ohLly6JP//8U9StW1dIJBKxe/duIUTlrANUNPaH7A/ZH7I/ZH9YvvrDSp2ECSHEzp07RatWrYShoaHQ0tISdnZ2Yty4cSIiIkJmu4cPH4qhQ4cKU1NToaOjI+rWrSuWL18ucnJyVBS5fL7//nsBoMjl7Yn45LlWPz8/0atXL2FsbCx0dXWFu7u72LRpkxKvrPiK+xm8fv1a/Prrr6JRo0ZCT09P6OjoCCcnJzF16lSRmJhY4LgV5TN417X/tw4IUfnqgTzXX1nrQL4DBw6Izp07i2rVqgltbW1hb28vevfuLc6ePSuzXWWrA/Ru7A/ZH7I/ZH/I/rD89IcSIYR49wOLREREREREpCiVfmAOIiIiIiKi8oRJGBERERERkRIxCSMiIiIiIlIiJmFERERERERKxCSMiIiIiIhIiZiEERERERERKRGTMCIiIiIiIiViEkZERERERKRETMKIiIiIiIiUiEkYERERERGREjEJI/p/NWvWhEQikVl0dXXh7OyMyZMnIzo6usA+o0aNktn+2rVr7zzHvXv3IJFIMGrUqDK6iuKpW7euTNxERERvY59IVLaYhBEBiI2NRWxsLDp16gQ/Pz/p4u3tjbFjx2LHjh1wd3fHw4cPC90/f/uGDRsqOfKS2b9/P/z8/ODp6anqUIiIqJxhn0hU9rRUHQBReeDv7w8AaN26NZo1ayazrlOnTqhTpw4GDBiAefPmYffu3QX2/+8+5V39+vUBAKampiqOhIiIyhv2iURlj3fCiAAEBAQAQJHf2nXv3h0SiUS6XXHs3LkTDRo0gK6uLqysrPDll18iLS2twHaXL19G3759YWpqCh0dHdSqVQsjRoxAaGiodJu2bdtCV1cXCQkJBfY/ceIEJBIJvv/+ewBARkYG5s+fj3r16sHIyAhVq1ZFo0aN8OOPPyIvL6/Y8RMRkXpin0hU9piEEeF/HY6bm1uh61++fAkhBIyNjYt1vMOHD2P48OEwNDTErl27sG3bNmhra2PcuHEy2/n5+aFz586IiIjApk2b4OPjg+nTp+PAgQPo2rUrXr58CQAYP348srOz8eeffxY4144dO6ChoYExY8ZIt121ahXGjx+PkydP4uDBg+jcuTO+++47zJgxo7gfCRERqSn2iURKIIhIWFlZCV1dXZGTk1Po+l9//VUAEPPnz5cpHzlypCjsn5GHh4fQ1tYWsbGxMuUjRowQAMTIkSOFEELs2LFD9OzZU9y6dUtmu+nTpwsA4tixY0IIITIzM4WpqalwdnaW2e7ly5fCwMBA9OzZU1pmbGws+vXrVyCmTZs2iW3bthUrfiIiUl/sE4nKHu+EkdqLiYlBbGws6tWrB01NTWn569ev8eTJE6xYsQIzZsxA/fr1MX369Pce7/Xr1/Dz80Pjxo1haWkps27w4MEyfw8bNgwnTpxAo0aNZMrr1q0LAAgPDwcA6OnpYeTIkXj06BF8fHyk2x04cAAZGRky3yba2tri/Pnz+PPPP2Ue9Rg7dixGjBjx3viJiEh9sU8kUg4mYaT28l9AvnnzpswQtTo6OnBycsLq1asxYcIEXLlyBUZGRu893vPnz5GTkwMrK6sC62xsbGT+fv36NX7++We0atUKpqam0NDQgEQiwdixYwFA5nn18ePHQyKRYOPGjdKyHTt2wNLSEn369JGWHThwAI6Ojvjss89gYmKCli1bYvbs2Xjw4IF8HwwREakd9olEysHREUnt5T/7/sMPP+CDDz6QlmtqasLExKRAJ/E+Qogi1/33JeCRI0fi77//Rt++fTFr1ixYW1tDS0sLR44ckb5UnM/FxQWdOnXCwYMHkZiYiOzsbJw/fx7ffvsttLT+90/Z2dkZN2/ehJ+fH86cOYPz58/jxx9/xIoVK7B27VpMnDhRrushIiL1wT6RSDmYhJHay+9w+vfvD2dn51IfL//bu2fPnhVYFxYWJv395cuX+Oeff+Du7o5Dhw7JTBB55MiRQo89fvx4nD9/Hnv27EFqairy8vKk3xD+V/PmzdG8eXPMnj0bsbGx6NatG6ZOnYoxY8ZAV1e3lFdJRESVEftEIuXg44ik9gICAlCtWjU4OTkp5Hi6urpwd3eHn58f4uPjZdbt27dP+ntubi6EEDAzM5PpbJKSkrBp0yYAQE5Ojsz+AwYMgIWFBf766y9s374dnTp1gqOjo3T9w4cPMW7cONy+fVtmPysrK3To0AFZWVmFDglMREQEsE8kUhYmYaTWoqOjERcXh2bNmsk0+qU1ZcoU5OTkwNPTE4cOHcLp06cxduxYPH78WLpNtWrV0KxZM/j4+ODnn3/GlStXsHXrVjRv3lz6eMTRo0dx9epV6T7a2toYPXo0rl69iuDgYHz++ecy57W2tsbx48fRp08fbNy4Eb6+vvD19cVPP/2Ebdu2oUePHpyMkoiICsU+kUiJVDs4I5FqHT58WAAQs2bNKtH+7xrOdsOGDcLFxUVoa2sLCwsLMWHCBPHo0SOZ4XifPHkiPD09hYmJiTAyMhIdO3YUFy5cEHl5eWLgwIFCT09P1K1bV+a4YWFhQkNDQ5iZmYmsrKwC542MjBTjxo0T9vb2Qk9PT1StWlU0aNBAzJkzR6SlpRU7fiIiUi/sE9knkvJIhHjHG5NE9E6jRo3Ctm3b3vnisaLFx8fD3t4e33zzDZYvX16qY6kifiIiqpzYJxIVHx9HJKpg8keImjx5soojISIiUi32iVRRcXREIgXIn1fF1dUVhoaGCj9+QkICQkJCsGfPHmzcuBE//vgjrK2tS3y8oKAgZGZmIjExUYFREhERsU8kKg4mYUQK0Lx5cwDA1atX0apVK4Uf/8yZMxg+fDjMzc3x888/4+uvvy7V8QYNGoSQkBAFRUdERPQ/7BOJ3o/vhBERERERESkR3wkjIiIiIiJSIiZhRERERERESsQkjIiIiIiISImYhBERERERESkRkzAiIiIiIiIlYhJGRERERESkREzCiIiIiIiIlIhJGBERERERkRIxCSMiIiIiIlIiJmFERERERERKxCSMiIiIiIhIif4PmjOztldvdzkAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We'll reuse these functions to plot all of our results.\n", "def make_plot(pop_comp, x0, x, y, ax):\n", " pop = 0.5 * (pop_comp[:, 1:] + pop_comp[:, :-1])\n", " pop = np.sum(pop * np.diff(y)[None, :, None], axis=1)\n", " a, b, c, d, e = np.percentile(pop * np.diff(x)[0], [2.5, 16, 50, 84, 97.5], axis=0)\n", "\n", " ax.fill_between(x0, a, e, color=\"k\", alpha=0.1, edgecolor=\"none\")\n", " ax.fill_between(x0, b, d, color=\"k\", alpha=0.3, edgecolor=\"none\")\n", " ax.plot(x0, c, \"k\", lw=1)\n", "\n", "\n", "def plot_results(samples):\n", " # Loop through the samples and compute the list of population models.\n", " samples = np.atleast_2d(samples)\n", " pop = np.empty((len(samples), period_grid.shape[0], period_grid.shape[1]))\n", " gamma_earth = np.empty((len(samples)))\n", " for i, p in enumerate(samples):\n", " pop[i] = population_model(p, period_grid, rp_grid)\n", " gamma_earth[i] = population_model(p, 365.25, 1.0) * 365.0\n", "\n", " fig, axes = pl.subplots(2, 2, figsize=(10, 8))\n", " fig.subplots_adjust(wspace=0.4, hspace=0.4)\n", "\n", " # Integrate over period.\n", " dx = 0.25\n", " x = np.arange(rp_rng[0], rp_rng[1] + dx, dx)\n", " n, _ = np.histogram(koi_rps, x)\n", "\n", " # Plot the observed radius distribution.\n", " ax = axes[0, 0]\n", " make_plot(pop * comp[None, :, :], rp, x, period, ax)\n", " ax.errorbar(0.5 * (x[:-1] + x[1:]), n, yerr=np.sqrt(n), fmt=\".k\", capsize=0)\n", " ax.set_xlim(rp_rng[0], rp_rng[1])\n", " ax.set_xlabel(\"$R_p\\,[R_\\oplus]$\")\n", " ax.set_ylabel(\"\\# of detected planets\")\n", "\n", " # Plot the true radius distribution.\n", " ax = axes[0, 1]\n", " make_plot(pop, rp, x, period, ax)\n", " ax.set_xlim(rp_rng[0], rp_rng[1])\n", " ax.set_ylim(0, 0.37)\n", " ax.set_xlabel(\"$R_p\\,[R_\\oplus]$\")\n", " ax.set_ylabel(\"$\\mathrm{d}N / \\mathrm{d}R$; $\\Delta R = 0.25\\,R_\\oplus$\")\n", "\n", " # Integrate over period.\n", " dx = 31.25\n", " x = np.arange(period_rng[0], period_rng[1] + dx, dx)\n", " n, _ = np.histogram(koi_periods, x)\n", "\n", " # Plot the observed period distribution.\n", " ax = axes[1, 0]\n", " make_plot(np.swapaxes(pop * comp[None, :, :], 1, 2), period, x, rp, ax)\n", " ax.errorbar(0.5 * (x[:-1] + x[1:]), n, yerr=np.sqrt(n), fmt=\".k\", capsize=0)\n", " ax.set_xlim(period_rng[0], period_rng[1])\n", " ax.set_ylim(0, 79)\n", " ax.set_xlabel(\"$P\\,[\\mathrm{days}]$\")\n", " ax.set_ylabel(\"\\# of detected planets\")\n", "\n", " # Plot the true period distribution.\n", " ax = axes[1, 1]\n", " make_plot(np.swapaxes(pop, 1, 2), period, x, rp, ax)\n", " ax.set_xlim(period_rng[0], period_rng[1])\n", " ax.set_ylim(0, 0.27)\n", " ax.set_xlabel(\"$P\\,[\\mathrm{days}]$\")\n", " ax.set_ylabel(\"$\\mathrm{d}N / \\mathrm{d}P$; $\\Delta P = 31.25\\,\\mathrm{days}$\")\n", "\n", " return gamma_earth\n", "\n", "\n", "print(plot_results(r.x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's sample from the posterior probability for the population parameters using [emcee](http://dfm.io/emcee)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:31:59.424365Z", "iopub.status.busy": "2022-06-06T11:31:59.424131Z", "iopub.status.idle": "2022-06-06T11:32:22.237078Z", "shell.execute_reply": "2022-06-06T11:32:22.236356Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "import emcee\n", "\n", "ndim, nwalkers = len(r.x), 16\n", "pos = [r.x + 1e-5 * np.random.randn(ndim) for i in range(nwalkers)]\n", "sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob)\n", "\n", "# Burn in.\n", "pos, _, _ = sampler.run_mcmc(pos, 1000)\n", "sampler.reset()\n", "\n", "# Production.\n", "pos, _, _ = sampler.run_mcmc(pos, 4000)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:32:22.241632Z", "iopub.status.busy": "2022-06-06T11:32:22.241130Z", "iopub.status.idle": "2022-06-06T11:32:22.808508Z", "shell.execute_reply": "2022-06-06T11:32:22.807729Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import corner\n", "\n", "corner.corner(sampler.flatchain, labels=[r\"$\\ln F$\", r\"$\\beta$\", r\"$\\alpha$\"]);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:32:22.812302Z", "iopub.status.busy": "2022-06-06T11:32:22.811926Z", "iopub.status.idle": "2022-06-06T11:33:15.901633Z", "shell.execute_reply": "2022-06-06T11:33:15.881220Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gamma_earth = plot_results(sampler.flatchain)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparing this to Figures 6--9 in Burke et al., you'll see that the results are more or less consistent and the predicted observations are good. For radii smaller than $R_\\oplus$, the results start to diverge since I chose to use a single power law in radius instead of the double power law. When I tried to use a double power law, I found that the break radius was immediately pushed below $0.95\\,R_\\oplus$ (the smallest radius in the dataset) and the slope of the smaller radius power law was set only by the prior so it didn't seem necessary to include it here. In practice the final results are still consistent.\n", "\n", "I would now claim this as a successful reproduction of the results from Burke et al. using only public datasets and their description of their method. One last interesting plot (that you might have noticed I computed in the `plot_results` function) is Figure 17 showing the rate of Earth-analogs defined (following [my definition](http://arxiv.org/abs/1406.3020)) as:\n", "\n", "$$\\Gamma_\\oplus = \\left.\\frac{\\mathrm{d} N}{\\mathrm{d}\\ln R_p\\,\\mathrm{d}\\ln P} \\right |_\\oplus$$\n", "\n", "Let's plot the constraint on $\\Gamma_\\oplus$:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2022-06-06T11:33:16.290071Z", "iopub.status.busy": "2022-06-06T11:33:16.288880Z", "iopub.status.idle": "2022-06-06T11:33:16.712532Z", "shell.execute_reply": "2022-06-06T11:33:16.711543Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.hist(np.log10(gamma_earth), 50, histtype=\"step\", color=\"k\")\n", "pl.gca().set_yticklabels([])\n", "pl.title(\"the rate of Earth analogs\")\n", "pl.xlabel(\n", " r\"$\\log_{10}\\Gamma_\\oplus = \\left. \\log_{10}\\mathrm{d}N / \\mathrm{d}\\ln P \\, \\mathrm{d}\\ln R_p \\right |_\\oplus$\"\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot is consistent with Figure 17 from [Burke et al. (2015)](http://arxiv.org/abs/1506.04175) so we'll leave it here and call this a success for open science! Some of you might notice that this result is inconsistent with many previous estimates of this number (including my own!) but the discussion of this discrepancy is a topic for another day (or maybe a scientific publication).\n", "\n", "*Thanks to Ruth Angus for reading through and catching some typos!*" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [] } ], "metadata": { "interpreter": { "hash": "2e72f1bab277edfbe4ac45f0959e8a052987e3fae631afae3790a73210615ebc" }, "kernelspec": { "display_name": "Python 3.9.13 ('env': 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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 4 }