{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Using a Gaussian Process model object" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Introduction\n", "\n", "This notebook will demonstrate several features of the `SNModel` class, which stores the model generated from the multidimensional Gaussian Process regression over a collection of transients.\n", "\n", "These models by default are saved as `.fits` files and contain several important data products that will be useful to users interested in working with them:\n", "\n", "1. `SNModel.surface` -- the model, or \"template\", of the transient collection. A prediction of the time-evolution of the class's spectral energy distribution at an arbitrary wavelength and phase. It is either an `sklearn` `GaussianProcessRegressor` object or a `numpy` array containing the median SED surface and its IQR.\n", "2. `template_grid` -- a grid of photometry used to normalize the photometry of the collection of objects fit by the GP. This is used to calculate the residuals of the photometry as input to the GPs, and is needed when converting between \"observed\" photometry and photometric residuals used by the GP.\n", "3. `phase_grid` and `wavelength_grid` -- grids in wavelength and phase space, covering the range of values fit by the GP, with shapes corresponding to the output shape of the `surface` and `template_grid` objects.\n", "4. `sn` or `sn_collection` -- the collection of objects fit by the GP\n", "5. `norm_set` -- the collection of objects used to normalize the photometry" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setup\n", "\n", "Let's import the necessary objects." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Configuration file not found:\n", "\n", " /Users/craigpellegrino/.dustmapsrc\n", "\n", "To create a new configuration file in the default location, run the following python code:\n", "\n", " from dustmaps.config import config\n", " config.reset()\n", "\n", "Note that this will delete your configuration! For example, if you have specified a data directory, then dustmaps will forget about its location.\n" ] } ], "source": [ "from caat import SNModel, SN\n", "import numpy as np\n", "\n", "import logging\n", "\n", "logger = logging.getLogger()\n", "logger.setLevel(logging.ERROR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Load a saved model object\n", "\n", "First let's load a saved GP template object. If a file already exists for an object, providing the filename will automatically load in the saved model object and all other necessary data products." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "model = SNModel(\n", " surface=\"SESNe_SNIIb_GP_model.fits\",\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `SNModel` object has a number of useful methods, which we'll demonstrate now." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2. Predict a light curve and compare a light curve to observed photometry" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One straightforward usage of an `SNModel` object is to use the Gaussian Process regression to predict a light curve. We'll give the object a min and max phase as well as a wavelength (in Angstroms):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.predict_lightcurve(-20.0, 45.0, 5000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above plot shows a predicted light curve (dark blue line) and the uncertainty in the prediction (light blue lines). We can also see how this prediction stacks up against actual photometry for an object in this class:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.predict_lightcurve(-20.0, 45.0, 5000, show=False)\n", "gkg = SN(name=\"SN2016gkg\")\n", "model.compare_lightcurve_with_photometry(gkg, filt=\"V\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not bad! This is one of the more peculiar objects in this sample, SN 2016gkg, which has a strong early-time light curve bump due to shock cooling emission. Even so, the photometric evolution is captured within the uncertainty of the GP fairly well, and the rise to the main light curve peak is reproduced." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3. Predict an SED and compare an SED to observed spectra" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another basic usage is to predict an SED using a GP model at an arbitrary phase, as this next example shows:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.predict_sed(\n", " wavelength_min=2500,\n", " wavelength_max=8000,\n", " phase=0.0,\n", " show=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If desired, you can also compare the SED predictions to low resolution spectra. However, this isn't an exact comparison since the spectra may not be flux calibrated, so the conversion from flux units to normalized flux isn't exact, but it gives us a rough estimate if the shape of the SED matches observations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4. Produce synthetic photometry for a class of objects\n", "\n", "These GP models can also be used to produce synthetic photometry of a given transient class at an arbitrary phase and wavelength. This is especially useful for constructing training sets at high redshifts to better classify transients discovered by Rubin LSST and Roman. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(array([-5., 0., 10., -5., 0., 10.]),\n", " array([-0.06825227, 0.38219782, -1.8790352 , 0.46723262, 1.00798788,\n", " 0.05463794]),\n", " array([0.41772546, 0.32090284, 0.42934931, 0.58340145, 0.47485424,\n", " 0.58166458]))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model = SNModel(\n", " surface=\"SESNe_SNIIb_GP_model.fits\",\n", ")\n", "\n", "model.predict_photometry_points(\n", " wavelengths = np.asarray([5000.0, 5000.0, 5000.0, 7000.0, 7000.0, 7000.0]),\n", " phases = np.asarray([-5.0, 0.0, 10.0, -5.0, 0.0, 10.0]),\n", " show=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5. Fit input photometry of a new object\n", "\n", "Maybe you want to see how well this model performs for new photometry. You can input a dictionary or `pandas` dataframe of photometry and plot a fit, even extrapolated out to phases beyond those covered by the input. The input photometry magnitudes should be relative to the light curve peak--in the example below, the first value with magnitude = -1.0 means that point is 1 magnitude fainter than the peak magnitude." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mock_photometry_values = {\n", " \"Filter\": [\"B\", \"B\", \"B\", \"B\", \"V\", \"V\", \"V\", \"V\", \"i\", \"i\", \"i\", \"i\"],\n", " \"Phase\": [-15.0, -10.0, -4.0, 1.0, -15.0, -10.0, -4.0, 1.0, -15.0, -10.0, -4.0, 1.0],\n", " \"Mag\": [-1.0, -0.6, -0.3, 0.3, -1.1, -0.7, -0.25, 0.1, -1.2, -0.5, -0.35, -0.1],\n", " \"MagErr\": [0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1],\n", "}\n", "\n", "model.fit_photometry(\n", " photometry=mock_photometry_values, \n", " show=True,\n", " phase_max=1.0,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's run this again, but this time extrapolate the fit out and see how it performs." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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avHy0l0naHcaMFDVHwcAgRWpSru3CNeSP4WhYLBZuvPFG1q1bx2c/+9liVtMjjzyCpmlcd911Ez1UiUQy09F10LShU/+6wfMjJ8MYfoxhDN8PxPqR5ooCioKGho6OphjoSmFuAt1koJkMDAU0E+gWBd0Emhl0xUA16agmHd0EqklHK+zfP+lmsb9uVsBkEu/NCoZJOaagOZ6YGcyRwmawoDly3i9ijhQ2JkyYMWPChAVL8b0FC+bCy3TE68h1/e9Hmo/mfjNdkKLmKKRI4cEzKddOkMCNe1T73nrrrdx111387W9/4+KLLwaE6+ld73oXpaWlEzhKiUQy7TAMyOdBVYfP+6dcDrLZgfmxRMxg8XHkdfrX908mEzoGmqKjKjq6oqGhoSk6OjoqOhoqGhp58qioxbmwooj9DENHN3R0QxPiwgAMHcUAxTAwDEMsF65vMhQoigMFM2BRTKAoKCYzmExgMqGYzBhmBcVkAbMZw2bBsFrAakO3WcBmBbMZLBYMswnDUli2mIsTZnPxZ3Gk8Bksjo5cN5JVSEcIvoHPbwzbpvf/TI4hsvoFy5Gi50jBY8OGddDLhq0omI589YupwaJqqiBFzTSntbWVc889l5///OdcfPHF7N27l/Xr1/Of//mfkz00iURyKukXJLmcECr980wG0mkx5XID4kXTxNw44oZoLtzoLRYxL9zIsdmKAqC4vnADFwJEHfbSUMmRJUuWHDly5NELVhchX1QMhADpH4UCg6wMVkzYMWEuCBIxF/JEObmbaUGYKbqwHilav3VJR8npkFZR9BxoiYFtUBypoSiFn5WCYR4kbOw2dLsV3W7DcNgwLEIcGVYLWMzFZcNqGS4GJ4jB4kdDGzZXUUmTLu7Xv+1IsTTYcjTYYmTGjB07Vqw4cNBMMy4mp5CtFDVHwYWLBIlJu/ZY+MAHPsDHP/5xvv/973PffffR0tLCRRddNEGjk0gkk4KqDrWg9E/JpJiy2aGWFxi4aVosA5PVCk6nWB4kTI562aJgyZMnQ77wypEjTZos2YKA0YYIlX7MRWuABXPhZniky2RSKIizoVJlDPQLIE0rzk2qBpkEZlUT6w1jyImFdWdAABkOO7pTTIbNKiarBb0wN2yF/7OT/aiDfs5WTrw1Tr8I6hc//VYk8ZuRQUMjS5YqqqSomWooKKN2AU0273nPe/jEJz7Bgw8+yC9+8Qs+8pGPyKrBEsl0RNOEZSWbHZjH45BICEtLvwWmPxZFUYRI6Z/sdjEfw41QRy/YUPJD5hkyJEmRJ1d8mlcZaK1iQhnihrBiK8qVmRSjcVQUpShQYBSiqBBjpKgaiqqjqCpKNIE5GEFRCwIIBRSE5cdacG1ZLehuJ7rbgeEQ4ke3WYV7rCCEMJ0aYagU/s+PRQfDs3FPJVLUzAA8Hg/XXnstd9xxB7FYjJtvvnmyhySRSI6FqgqR0u8aSqUgGhUWl35LTL+7o9+6YrOB1yuWzWNzu/QLl8GvftGSITPIeaQBRsG1Yym+HNgKS1MndmLaoSiFGBzLsQVQv/jJqyiqhimbw5xIo+RVMHRAwVAQ5yq4sXSnHc3jxHA5MOw24fqyWTDsNiF6TqOHXClqZggf+MAH+NnPfsbb3vY26uvrJ3s4EokExA2qP54lnRaiJRIRlpdsVlhedF08advtA8KlvHzMwgWEq6g/fiVbeCVIkCJdcB/l0QpBpiYUrFgLosWBBasULVOB0YgfwxCipzBZogms/rCw9BWsZP3uK91mRXc50L0uDKcD3W4Vwsdhw7DbTpmV51QhRc0M4ZxzzsE4MuBPIpGcOnRdWFz6p2hUCJhMRkyGIW5YdruYfD4hYk7gKbo/diFLlgxZMmRIECdNmhw51EEBuP3ZLA4cePBK4TITUJQB19NI9IuenIpJVTEHIihdgYL1zxDurcLxusuB5nVhuJ1C8DjsReEzHQWPFDUSiUQyVvotMP1ButEohMNDBYzVCg4HuFxQVnZClheg6CrKkiVNmgQJkiSL8S9GwV1kx44FKx482LCdHnEtkpE5nuhRNZR8HlM2jyUcw9obBL0gePrdWnYrmteN7nWJQGaHHd1hQ3fYwTp1pcPUHZlEIpFMFfJ5IV4SCYjFIBgU1ph+AWOxiIwirxcqK0/I+mJgFDOKMmRIkSI+yPrS7zayYsGOHTduKV4kJ0YhwFlzOoZvUwsWnlwea28IOnpRClZGw2oR8TpOO2qJG8MjBI/usIv0dbvt1H+WI5CiRiKRSI4kkxECJpEQAiYSEZYZVRWCxekUFpjy8hM20Q8WMEmSRImRIUOOLDoGCmDHjg0bbjzSbSQ5NRTieTTXEYLHMFByeZRcHlM8hSMYBVUT2VpWkY2lO+14S1PQsoJJyuiWokYikUhIp0XqdCwGgYCYp9MiTsZmEwKmquqEa4ZoaKQLEiZNiihRUqTIkkVDK7iPHNix4cUzpSq0SiSAsNTYC9YYL4OS+4G8iimbx5TK4vZ3o9QkpaiRSCSSU0YmMyBi/P4BEWMYIg7G6RSBvCcYB5MnT4oUKdLEiRElRpYMeVQUwIYNO3ZcuKUFRjL9sVrQrRbwOCHdOalDkaJGIpHMfFRVCJd4XIiYcFjExPSLmP5g3hN0JWXIkCZNkiQRIiRJkiGDjo6lEAPjxYuNyY85kEhmMlLUSCSSmYdhiMDe/qBev1+8V1XhTvJ4oLT0hC0x/YG8/SImQZIsGQyMYvp0ORXSCiORnGKkqJFIJDMDVRWp1dEo9PaKeSYjrC9uN1RXn3BMTI4cycIrTHiQiAE7Nhw4KME7eX2MJBIJIEWNRCKZzmQyIjMpFBJCJh4XVVWdTmGNOcH0ahW1aIkJEy6mVhsY2LGftiLGMEDXFTRdQdcUdAOM/ve6gmEohebX/cuKOMZQoHCsUTiPpirohoKhF86DgqGDYSjFDhG6XqiOC4jeAEdBMYqJ7SaTOFhRQFEMUMCkGJgUUEyGWDaJZaWwTSlsUwrHmUwGimIU5oV9TGK9WBbnM5n7z2dMxzp1MxIpaqY5F198MStXruQ73/nOZA9FIpl4+t1KkQj09QnXUjIp7kQeD9TUnJA1xsAYFBMTJUKYNGk0NCxYceGkksoZkZUkWgspaJqCqpkKyyZUVYgQVTOhF7bn8ybyqglVNaHmC9sKIkQfLGSMfkECxTL9hX+EpjQwCqKkX2MqyhHio7hcHOmQ/Y9cHvx5hi8rxfdDtw8STIao8CNKsPSXMBTjLL43wFAMTIBSEEJiuSB6imJHnMNi0bGYC3OLjsWsY7EamE1CCJlNQgCZzQNzs1kX680GFrNxOrVpmhCmjai58847eeyxx2hra8PpdHLuuefy9a9/nYULF0720CaVxx57DKv1xFvJSyRTHsMQFphwGLq7B2rGWK2i2J3Pd0IBvnlUkiSIkyBEkCRJsuQwoeDESRnl0yYmxjBA1RQhPgZNeVVBU01kcyZyOTPZnJl8zoSmC9GiayY0Q0HXKNzMB8SIyTRggTCZBiwSisnAagJF0QvrB1s2JvsnMTEIa5OwSgkRN2CNMnQhkDTNRD5vGtFi1d8ho/9nizLU0tMvckwmsJo1LFYDq1XDatWx2YTo6RdAFovY12LWxbqCkJJiSDBtRM3f/vY3Pvaxj7FmzRpUVeUzn/kMb33rW9mxYwdut3uyhzdplJeXT/YQJJLxxzBEkG+/kAmHRQNIu10ImaqqEzptutAjqd8akyKFjoEDO05c+PBNuQq9hgF5Vdww+ychWEyk02ayWQuZrLloccmrJiFSip/EKPRINDCZCjdCk4HVqmM2qcUbqrwpHh1FAbMCmEQrgfFA0wesXXq/O09XyKgWtLRY1rR+UVTo5FWweplNFKw7A/+fFquO3aZhs+rYHRpm84DwGWxBmukiaNqImj/96U9D3q9bt47q6mpeffVVLrzwwkka1eQj3U+SGUO/RSYUGipknE6RqeQYoaT7cdDRSZIiQZwgQeLEyZBBQcGFa8pkKOVVhVzBipJXzeRyJrJZE8mUlUzWQj4/YIXRdaV4QzL339QKNyy7LV98P1NvWjOFfmFyIiKp333YL3w0XSGXspBI2IrrjYJ5SDGEu6z/96Lf3WWza9jtGg6bsAhZLANuM2u/+8wijplOTBtRcyTRaBQ4tqUim82SzWaL72Ox2OgvYBiijsVk4HKdUHCjRDItSSSEkOnqEvNMRvwNnKCQ0dBIkCBGnAABEiRQyWPFigsXpZROijUmryrksmZyeTPZrJlc3kQyZSGdtJDNm4UFJm8SQbUIV0T/jcVi0XE48uJJe4a6eCSjp1+gjBZdB60YPyVEUCJhIxIZsBSBMAQpg11dZmHRczhU7HYNu00fED7WAfFjtepTxvU4LUWNruv827/9G+eddx5Lly496n533nknX/7yl0/sIqmUCDycDBIJkYIqkcxU0mkhYHp6RFuCVEq4lkpLRbDvGMmjkiBOlCjBQnyMho4DOyWnsOidYSCsLLmCcMmZSaUsxJNWslkz+ZyZvKoU41fM5oGbg92Tx2qZOjcHycxBxEXpjCb8sl8AqQUBlM2aSaYsRVGkFPrCmxRDWHIswlpos2k47Bp6tIK69OQ9lE9LUfOxj32Mbdu28fzzzx9zvzvuuIPbbrut+D4Wi9HU1DTRw5NIJCORzwsh09cnxEwiIQrhlZSI1Ouxng612IIggL8YH+PEQRllWCb46y2XN5HNmslkhICJJ60kEzYRlJs3o6nC4mI2g9UqYh0c3hxWqy4NsZIpy2gFUFH8qCIrLp22EI/biPZUsyQxecp82omaf/mXf+GJJ57g73//O42Njcfc1263Y7fbT+xCLpf40p0MXJPUCUwiGW8MQ2QrBQLQ2SkK4imKEDJNTWN2s/ZbZCJECBAgSRJgQuNjdB2yOTOZjIV0RlheYnEbmYxwJal58QVusegiSNOm4XHnsVimVyyCRDIWhoqfgfaWsd5JGxIwjUSNYRh8/OMf57e//S3PPfcczc3NE3tBRZEuIInkREmlRA2Zjg5hncnlRNZSbe2Y68hoaMSIEyWCnwBJxMOGCxcVVI6rkNF1yGTNpNMWMhkL8aSFeNxONmsmmzWJuismsNk0bDYdlyuLVYoXiWTKMG1Ezcc+9jEefPBBfv/73+P1eunp6QGgtLQUp9M5yaOTSCRo2kCcTHe3KIrncIhGkWO0mOroJEgQJUoffSRIoGPgHkchYxiQzZpJZyyk0hbiCQuxmL0QC2PCMBRhfbHpOB0qpSWajHeRSKY400bU/PCHPwRECvNg7rvvPm6++eZTPyCJRCJIJIR76fBhkYZtGKIgXnn5mNxLBgYpUkSJ4sdPjDgqKs5xag6pqgqptIV02kIyaSESsZPKWMhmzUMEjNuVp8wn414kkunItBE1hiFNvCPx3HPPTfYQJKcjmibcS11doudSMinctSfQpiBLtihkIkTIksWBg1JKsHLi1bKzWROptJVUykI0ahNxMDmROm1SwOFQcTg0Skty0gIjkcwQpo2okUgkU4BkEvx+YZUJhYQlxucbc/aSikq8UBAvSJAUKSxY8eChnLFXyTYMEQuTSllIJK1EInYSSSuZjBkDRaRM2zV8pTIGRiKZyUhRI5FIjo2uC7dSV5eIlemvozTGoF8Do9D1OkIfvSRIYGDgxkMNNWMuiJfOmEkmrSSSFkJhB6mUCO4FRKVUh4bXm5PF6iSS0wgpaiQSycjkcqKmTEeHsM7o+gnFyuTIFd1LYcLkyOHAOeY4mVzORCJpJZGwEorYSSSsZLMWDAMcDg2HQ5WuJInkNEeKGolEMpR4XMTJtLeLujJ2u3Av2UZfldfAIE6cECH66CNJCgtmPHhH7V5SVYVkykoiaSUcthGL2UhnLRi6gt2uFTKSpIiRSCQDSFEjkUiEFSYUEgXyenpEnRmvFxobGYtqyJEjTJg++ogQRUXFjYtqqjBx7PMYhnApJRI2ojGbcCmlLWiqgtWq43SqVHnT0p0kkUiOihQ1EsnpTD4vXEvt7QMuprKyMQX+DrfKJLFgxYsHO8euT6OqStGlFAg5SCREpV6z2cDhUCnzZWRgr0QiGTVS1EgkpyPptHAxHTokgoCt1jG7mPLkiRChjz5ChAdZZaqPaZXJZMzEE1aiMRvBkJNUyoKmFVxKThVfaVbWiJFIJCeEFDUSyelELCYymA4fFsseD9TXg3n0AbtJkoQI0UsvcRJYsBzTKmMYFPslhcN2wlE7mbQFxQROZ57ysozskySRSMYFKWokkpmOYQzEy3R1CStNaSnMmjXqLCYdvdiyIEiQDBncuKmiEvMIGUy6DomklXjcRl/AQTxuI5s1Y7XquFwqJd6UDPCVSCTjjhQ1EslMRdMG2hf09Ij3ZWVQVTXqU+TIFa0yESIYGJRQQhllI1xOKbqVAgEn8aQVNW/CbhddqyvKs+P56SQSiWQYUtTMAG6++Wbuv//+4vvy8nLWrFnDN77xDZYvXz6JI5NMCvm8qC/T3i7mJpOoLeNwjPoUCRKECNFDD0mS2LBRTjmWI74yNE0hHrcSidnwB1wkElZUTcHpUPGV5LBa9fH+dBKJRHJUpKiZIVx66aXcd999APT09PC5z32OK664gvb29kkemeSUkc0OBP8GgyLot6ZGBAGPAuFiiuGnjwABMmTw4BkW+DtYyPT5hZDRdQWXU6WsTGYrSSSSyUOKmhmC3W6ntrYWgNraWj796U9zwQUX4Pf7qRqDu0EyDUmnRfBve7vIZHK5xhT8m0clQpgeeggTRkcf5mLSdYjFbUSiwiITjw8ImYpyGegrkUimBlLUHAWRsTE513a5xlSFfhiJRIJf/vKXzJs3j4qKivEbmGRqkUwKMXPokKj8O8ZieRkyhAjRTTcx4liw4MNX7IxtGBBPiOaQ/oCTWMKGqiq4pZCRSCRTFClqjkIqJbJdJ4P+foFj4YknnsBTGHAymaSuro4nnngCk0wxmXnE4yKTqb1d/LKMMZMpQYIAAXrpJUkSJ84hWUzJlIVI1E6f30EsZiefN8lCeBKJZFogRc0M4Q1veAM//OEPAQiHw/zgBz/gsssu4+WXX2b27NmTPDrJuBCNCjFz+LBQ3T7fqMWMgUGMGH304cdPliwePNRSi4JCNmsiELUTCDoIhR1kMmbsdtHl2m6Twb4SiWR6IEXNUXC5xEPwZF17rLjdbubNm1d8/9Of/pTS0lJ+8pOf8JWvfGUcRyc55UQiQsh0dor4mfLyUbcx0NCKVX8DBNFQi/EyqqoQitkIBh0EQg5SKSsWi47Hk6e8TKZfSySS6YcUNUdBUcbuAppKKIqCyWQinU5P9lAkJ4JhCDHT3i7ETC4nxMwog77zqIQLKdkhQpgwUUIJNsNOPGGlL2Knt89FPGFFQcHjzlFbk5LtCSQSybRGipoZQjabpaenBxDup+9973skEgmuvPLKSR6ZZEz0V//tt8yoqhAzozTf5cgRJEQXncSIY8VCBRXkM3ZCETt9fieRqIiTcTlVqioymM0yTkYikcwMpKiZIfzpT3+irq4OAK/XS2trK4888ggXX3zx5A5MMjr6xUx7u2hloKpQUQFO56gOT5MhQIAeuokTx4mTMrWKRMzJ/qCDQNBBMmWTcTISiWRGI0XNDGDdunWsW7dusochOREMQxTK6xczmibiZUZZ/TdJEj/+YiaTGzfuRCPRiIM9fW5i8QH3Ul1tUrqXJBLJjEaKGolkMjAM0ZepX8wYhrDMjFLMxInTV3ilSePIl2KONnPY7yxmL7lcKpWynoxEIjmNkKJGIjmV6PpQywyMui9Tf1p2L70iLdvIY0pUkA03cqjXTTJhxWQ28HpzMntJIpGclkhRI5GcCnRdWGYOHRJVgBVFWGbs9uMfik6UaEHMBEjnDIxINVG/j1DYQT5vwu3OU1WdwixrLUokktMYKWokkolE18HvF5aZQnYalZWjFjPhQk+mgBEknrChBusJ9/lIJEVNmRJvDrtdBv1KJBIJSFEzDMOY+fEHp8NnnHT6xczBg6JztqIIMWOzHfdQFZUwEXropicfJh72kOprIRHxkMub8Lrz1FSnRtviSSKRSE4bpKgpYLWKJn6pVArnKNNopyu5XA4A8yi7OEvGgKYNFTNmsyiYNwoxk0clRJBOo5uuRJpo0Eu6bxHppENYZUpkKrZEIpEcCylqCpjNZnw+H319fQC4XC6UGZj/qus6fr8fl8uFxSL/+8cNTYO+PiFm+vrAYoGaGiiI5WORJ0+AIIfy3RyOqET6fOTCs9DzFtxuVVplJBKJZJTIu9ogamtrAYrCZqZiMpmYNWvWjBRtpxxVHRAzfr8QM7W1Yn4csmQJEmR3wk9HWCPSW4kWL8VmAZ83h92en/jxSyQSyQxCippBKIpCXV0d1dXV5PMz94Zis9kwyUf/kyOfF+6lgwdFVpPNNmoxkyZDtxpgVyTMIb9CKlSFKevB69bwVGdkBpNEIpGcIFLUjIDZbJbxJpKRyeVEFtOBA6KtgdMJdXWjEjNJkhxIhmkLxTjcZ0GN1+Ay2an25nGUy8ajEolEcrJIUSORjIZMRoiZgwchHBYNJhsaRCDwcQirCXZHI7QFUnQHLZgy1ZS7THgrVczmzMSPXSKRSE4TpKiRSI5FMimK5R06BNEoeL3Q2MjxIncNDDpTCXaFo+zszRGJW3ArZTR4FJxlGqCdmvFLJBLJaYQUNRLJSMRioo1BezskElBaCrNmcbyOkHlNZ380yfZAgv3BHKmMmQqHm/kVCmazTMeWSCSSiUSKGomkH8MQrqWODiFo0mnw+UYlZsIpnf2RFFt7E3TG8pgUhSqPjTm+fouOLHgokUgkE40UNRKJpokMpo4OETejqlBWJormHQNVha6ozu5girZgglBGxe3QmVNuxW6RKUwSiURyqpGiRnL6ks2KGjOHD4saMybTcTtmGwbEkyYOhfPs6MvQHk+QMaWp8MBCnw0zxy+2J5FIJJKJQYoayelHPC5qzLS3i+Bfh+O4NWayOYVA1Mxuf5Z94QSBXAKzM0VFpYLX7ERBFjKUSCSSyUaKGsnpga6LujJdXSKbKZmEkpJjZjJpGkTiZjpDCnsCOTqSETKWGE5PmsZyOw7cp/hDSCQSieRYSFEjmdlkMiJept/FZBgi+LeycsTd+91LwaiF/X06h+NpAloUkyeCp1qn2uTCSump/QwSiUQiGRVS1EhmHoYBkYhwMXV2ivRsu/2Y3bJTGYVQ1EKn38yhaA5/LkreEcRSFqfCYsOFCzOyyrREIpFMZaSokcwc+q0ynZ1ins8fs1heJqsQjpvpDVo5HNbpS2VI24IY7hC2cpVS3Dgon4QPIpFIJJITQYoayfRG00Rtmb4+ES+TSIDVKlxMI2Qx9QuZvrCFnpAJfypL0hxA9wSgJIFLseHGI60yEolEMg2RokYy/TAMkcEUDIraMuGwWOf1in5MR1hl0hmFSEIImb6QBX8qT9oUR3X7MaqjKCYDDy4cVMgsJolEIpnGSFEjmT4kkyKDqbtbCJpMRjSWrK4W1pkChgGJlIlI3Iw/bCEQtRBOq2RMCTR3EK06gm5SsWHHRam0ykgkEskMQYoaydQmnRZCpq9PTKmUCPYtLRVipkBehVjCTCRupjdkJZowE8upqJYEmjuCWhIir+QwY8GNExsjBwxLJBKJZPoiRY1k6pFKCZeS3y+ETDIpLDFeL1RUgKKg65BImIinzASjwiKTSJtI61l0RwTDHSFXHiVHDjNmnDjx4pHuJYlEIpnBSFEjmXwMQwT4RiJCxAQCwkJjNosCeeXlGCgk0ybiQRPRQqBvImUmlTdQTWlMrghqRZiMOUGePGYsOLDjkUJGIpFIThukqJFMDpom6sdEo6KJZCQihIzNBh4Pmq+CZMZMIm0m5jfhj1hIps2ks5BTcpgccXRvlKwtSpYMOjpWrNhxUELJZH86iUQikUwCUtRITh3ZrBAx4bAQMvG4qCXjcJCxlZC01pLMmAh3mwlFLaQzJjIqqEoWxZ5AccXJ+CJklQwqKgCOgoiRwb4SiUQikaJGMnGIwBchZAIBkbGUTJLLKyRNXlKWOuKanVB3IR4mo5AzdHRLBpM9Dt5kwRKTLYoYG3acMtBXIpFIJCMgRY1kfMlmhVup0KYgG0yQiqmkdAcJxUtYrSeRsZDJKWRUA82UxWRLgD2F6o2SM2XIk0dDA8BeEDFWrDI2RiKRSCTHRIoayckxyBqT6QqR6gyTCmdJpE2E816SSgNpw0FG01GVHCZ7EsWWRnXFyVtS5FHRClYYCxZs2PDile4kiUQikYwZKWokYyeXI9sXJdkdI3U4SMKfJhQ0SGp20uZy0hYzmkUFWxrFFkS1xdAt2SEWGAsWrFjx4MYifw0lEolEMg7Iu4nkuGiqQdKfItkdI9ERIXgoTjyUJ5VTSJsV8i4n5hIN3Z5As/Wgm3PkyBWPt2HDihUHDmmBkUgkEsmEIUWNZBj5PMSjOomeBOHDCUL7wyRDKZLJFKpZgxJQq/PoriS6eSCI14wZK1Zs2HHjxsTwztgSiUQikUwUUtRIiiVj4lGd0KE4wfYEsa4gmXgM3YhjuLPkK7Poc3RUpV/AWLBiwS6DeCUSiUQyRZCi5jQllRKZ1qGATt+BJNHeCIm+HoxcCMxh9NIM+SoFzWbChAkbNuzYT0sBo+kabbu2E46EKPOV07pwCWaTdKNJJBLJVEOKmtMEwxC17iIR6O0xCHUmCfUFUCNdoHaDOUzep5N3WTFbHdjx4sV22sfAvLTxBX7+wM8JhXuK6yrKa7nlhltZu+a8SRyZRCKRSI5EipoZTH9LpVAIursh2Jsh2NeLnuzElDuEQpicWwG3B6u1DLcUMUN4aeMLfPPuO4HLgc8CS4FtBEP/zTfvvpPb//UOKWwkEolkCiFFzQwknRbFe7u7oc+vEQr60dIdGOndmPMhdKuCUlGCxV5PqazMOyKarnHfL3+OEDS/h2LQ89mF91dx3y/v48zVZ0tXlEQikUwRpKiZIWjaQEul7m7wh2PkMp3omd2Y012gqpjdJdjLmnCZrJM93ClP267tBEM9CAvNkVlcJuAzBEPn0rZrO0sWLT/1A5RIJBLJMKSomeak0+D3w+HD0BvME00HMNS9mOL7MJJxbBYHVm8NZptjsoc6rQhHQoWlpUfZY+kR+0kkEolkspGiZpoSiQirTEcH+OMpMloXer4NJdSFJZXF7irDXNkMZlkr5kQo85UXlrYhXE5Hsu2I/SQSiUQy2UhRM43QdREr09EBXd0GoUwCTTmImmpDCfhxqGZsnnKUOvdkD3Xa07pwCRXltQRD/83QmBoAHfgqFeV1tC5cMjkDlEgkEskw5GP8NEDThFVm40Z4cYPOtvYIfv01MuknMNrX4+2J4XPXYa9pQnFLQTMemE1mbrnhVuBJ4CpgAxAvzK8CnuSWG26RQcISiUQyhZCWmimMqkJvLxw6BL1+nZQ5St66m1xoHzZ/FJ/mwOSrx7DbMCZ7sDOQtWvO4+1vewd/+NMTGPoTxfUmk40rLn2HTOeWSCSSKca4ihrDMFCU06va7ESQzwsxc+AA+IM6GVuUvGsvGf8eHP4o5aoTxVePYbdKMTOBvLTxBR5/6jF4G2JyAmnQ/5jj8T8+xoJ5rVLYSCQSyRRizO6nu+66a8T1mqbxvve976QHdDqTy4ksphdfhJc3GnQlIyS8rxOP/xljx6tUdGfxeOqgphrDLtOyJxJN17jv4XtFmZrHgY8CtxTmjwOXw32/vhdN1yZzmBKJRCIZxJgtNXfddRfl5eV84AMfKK7TNI33vve9bNu2bVwHd7qQzYqYmYMHRfVf1RUjW3GApH8Ptu4QFRkrSmkNhtMuLTOniLZd2wn2BY5VpobguQFZp0YikUimEGMWNU8++SRvfetbKS0t5d3vfjeqqvKe97yHtrY2nn322YkY4xC+//3vc9ddd9HT08OKFSu45557OOussyb8uhNBKjUgZiIRwJ0kW91OLLALy34/FQkzSkkFhs8pxcwpplh/5thlakZVp8bAIGfOkbVkyFqyZM2FuSVL3pRHN2loioZm0tALc03Ri8uGYmAyTCiGgmIoYhkFxTBhMvrnJqy6FZtmw6rZBs2tWIess2KS+QESiWSGMmZRs2bNGn7zm99w9dVXY7PZ+NnPfsbevXt59tlnqampmYgxFvn1r3/Nbbfdxo9+9CPWrl3Ld77zHS655BJ27dpFdXX1hF57vDAMiMWEmDl8WCxbS1JodV2Ewrsxbe+iPApmjw+91oUhY5QmhWL9mWOXqWH7im20rzxEwpYgWZj6l1O2JFlzlpwli6GcuCw1q+DIiMmaB5MOijEwHfleN0HeOjDlbAPLKAqOvBNn3okz78KVd+EsTAPLTtx5N56sl5JsaWFegidbgjvnlqJIIpFMWRTDME7o2/Z3v/sd11xzDYsWLeKvf/0rlZWV4z22Yaxdu5Y1a9bwve99DwBd12lqauLjH/84n/70p497fCwWo7S0lGg0SklJyUQPdwi5nKgx09UlgoBzObCXpEl5egiG92B0deALatgcJWglbjDJG8epwsAg6ojgd/cRcPsJuPvoc/Tx18v+TG5lDn7H8DI1VyOEzR4YsQeoAd44VPmhuk/MK4JQHjJTFjVTHjFTGjVRGoWSuIE3quNJGDjSOvasgS1rFOY6Zn38PqtWEDwZByTdkPCI+eDlwfNw2cAUKodIqULO4ybvKgF7CZ58KaUZH750GWXpcnwZMS9Ll1Oa9mHTZW8xieR0Yv+OIFdcv4bFS1rH9byjvX+PylLzzne+c8T1VVVV+Hw+PvShDxXXPfbYY2Mc6ujI5XK8+uqr3HHHHcV1JpOJN7/5zWzYsGHEY7LZLNlstvg+FotNyNhGwjBEC4NYTIiZnh6Ix8FsBntZioyjj/bIHoy2Tnx+FbvFjVblQTPLuicTQd6Up8fbTbe3k66SDnq83fjdffg9fQRcfvKW3PCDvgO8G1GW5lKK2U/8CXgSLvuXOt54p5eGToPaLo3Kvhy+UA5vOIMnksSSHymIWCtMJ4ahmDBMCqBgKIDSv1yw6CkKGAYmTcWkDb+OWQdzFhxZ8EVPaARAAkigmbqIlkKwAnprBqaeWthUWI6VOcmWlpH3luMwVVKerKQyVUVlsoqKVCWVyWo8OQ8K0iIpkUhOnlGJmtLS0hHXX3LJJeM6mGMRCATQNG2Yi6umpoa2trYRj7nzzjv58pe/fCqGRzAIiYQolJdICDGTTAphoyjg9hi462OElT46owfgYA+l/jwO7Ojl5WhWWTJoPIjbYrSXHaS99BDdJZ10lXTS7e3E7+k7pgtIMRTKUuVUpqpoCFWyeJeL+QcVnlu5kz8+2U5uoEwNduBfgW/c0w10H3M8qt1B1ltKtqSUrKeEvMtF3uVGdbjEsnPQe6cLzW5Hs1rRLVY0qw3dZhv03gpjKfZnGCiahklTi3OTpqGoKuZ8Dks2gyWbwZzNYMkMX7Zk0lhTSWyJOLZkAmsqjiUZw55MYs3mMOtQHhbT/L1HG0S6MHUR80JHIxxuGpi3NUFvrZVkZTnZslpcSm1B7FRRmaymJiHemw0p9iUSyfEZ1Z30vvvum+hxTAh33HEHt912W/F9LBajqalpQq514ADs3QtOp7DG2GzgdBk4KlIklBgdag+pcDfm3gBlQRUbdvTSUjSbTM0+EXKmHJ2lh2n3HeRQ2UHafWIKu44euOvMuaiPN1AXa6AuXs+cDi+LdmrM3Z2mbn8IX2cnnr5unKFdKIbBY4gGCVcAn0HEBm8Dvgp8E1haVcObG2eTLq8Uk6+cbIlPCJgSH1lvCZp9EhuJKgqGxYJmGX/BbMrnsSaF2LEnYtijERzRCPZYWMyjEazxIPZoCGc0hi2bpyQOi3eKaSh5oBfoJVqymcNNcKAZ9s+FXXPh0BwT4bpyshWNlGj11CRqqY3XUp2opSZRhyvvGvfPJ5FIpifTxjxQWVmJ2Wymt7d3yPre3l5qa2tHPMZut2O320/F8IgbcbTSPI5qjTwqUdK0EyWbCmNEwrh7k1RHNcxmKWbGiqqoHPYdYl/FHvZW7GZfxR4O+w6hmUZ241THa5gVmUNDrJG6WANNgRoW7dBp2tWLr+MgJR3tlHRuwhGLHPWaGbuDT6p5rtC0ISE1ZyNCbK4C/p+m8d1/+9xp2SpBt1rJ+srJ+sqJH29nw8CSSeOIhHGF/DhDAZzBAK6QH3uoD3ukF3cwiDORoTQGpdth6fYhVwMCQIDu2k3sn0txeqYFOme7iDTU4bQ0UBurpyHWSH2skbp4gxQ8EslpxgmJmkcffZT//d//pb29nVxuaCzCa6+9Ni4DOxKbzcbq1av5y1/+wtVXXw2IQOG//OUv/Mu//MuEXHMsHOYwuwhRkUtjzuSxJLO4gxlKYiq2LOgOO3qlS8bMHAcDg4DbT1vVdvZU7mJvxR4Olu0fMebFk/UyKzKHWeHZzI40Mysyhzl9NdTu78V3cB9lB/fiO/gkpR2HMGnqiNdLVtYQa5xFtHE20fpZhCpm4S+ZxSuHDtL+o9v4NUctU8O5oQA/+mmE8rJzKIbbKwMzpd/dpYDZZGC16lgtuphbdSzFZQ2bVcfhUHE5VZyFyWHXmBHJb4qC6nSRcLpI1DUcdTdzJo0rFMAV9OPy9+Lp68bV14Mj2IG3txdHMkNdD9T1wHkvDj4yBeyjr2ofba2wa6GYnl8IPbNKyVU0UZ0WQqc+1kB9tJHqZI10aUkkM5Axi5q7776bz372s9x88838/ve/55ZbbmHfvn1s3LiRj33sYxMxxiK33XYbN910E2eeeSZnnXUW3/nOd0gmk9xyyy0Tet3RYO7ooXJPkNkeULI5FE3HsFrQ3R7UslNjLZqOaIrG4dJDtFXvoK16O21VOwi6A8P2c+XctATn0RJcQEtwPi3B+VSmqnAFA1Ts2UnF7h1U7H0K36H9mPSBdKEUTvbSzD7HQg5ULqfD20K3vYk+cy0BrZxoykmsx0Z8r4102oKm9UuYh4DjlqnhufUWYN64/TwGoyiGEDgOIXJcThWvN0eJN4fXk6PEm8frzYl1nhxeb56SkixulzotxZDmcBKvbyJeP7KL2JqM4+7rwd3Xg8cv5s6+w3i6O/CGolT7odoPF64ffFSUvCXKvpZttLXC9iXw4lLYucRMtKGWqkwTDdEmmqKzaIrMpj7WiF2Tf68SyXRlzKLmBz/4Affeey/XXXcd69at4//9v//H3Llz+cIXvkAodPxCZCfDtddei9/v5wtf+AI9PT2sXLmSP/3pTxNeH2c0WKJJLKE4hs+H7i4RgTWSYejoHCo7wJa6TWyv2cKuqp2kbEmxUQPWg9KpUO9uZMW8VcyLLGRecD418TpMuoHv0H4qd++kYs96KvbsxAil2Ms8NjOfvbyLdmZxyDyXQ9ZmOrR6onmvOHcG6Bj9OG3WKnL545apYfUqE1WVBzGZjAFrjSEURfGtAbpuIp83kVcL87wJVTWRy5tQ8yZyOTPpjIV0xkw6bUHXTRiGQiplJZUam6vSatUoL8tQ5stSVpah/Ih5WVmWirIMDsf0avGQd3uJNHuJNM8fts2STuHp6cTb3Ym3uwNvdyeu3na83V3Ysjlad0HrLrj69/1HaOQtnexe0Mm2pf9g21IhdrafoZCsrqUhMZvGyCyaorNpisyiPtYo09MlkmnAmOvUuFwudu7cyezZs6murubpp59mxYoV7Nmzh7PPPptgMDhRYz1pJrJOza/X/YHu9hiNc8vG9bwzgV5PN1tqN7G1bhPbarYQdwxNrXfkndTcX0vfl3pId6aL6yuqK/nIW9/JOxQT+U29dO82sTs7l90sYA/z2cN8uqk/7vUdDpWK8jTlZVlKCpaOkpLB8yxeTx6XK4/LqWK3axhofOKTt7ImFOD3DC9TcxWwsbyS7/7Pz8c9psYwIJczkUpbSKetpNNC7CSTVuIJG/G4jVjCSizWvyzm8biVdGb0AsjrzVJdmaaqf6pKF96nqKpM43ROL9EzIrqOMxwUQqfrMCWd7ZR0HKSk4yD2VHrEQ9IO2LEYti6D11eJacsyBZe5nqZBQmdWZA71sUbpxpJIBjEt6tQMpra2llAoxOzZs5k1axb/+Mc/WLFiBQcOHOAE6/hJZhgZc4atdZt4rWEjW2pfp887NLjbkXeypHcZy3pWsKhvKb3/18237/6a6IT9GYr1YIJPBvjKL+/lW/yCNO8/6vW8nhy1tUlqa1JUV6aoKM9QWZGhojxNRUUGl/NE3DFm3n/Dh/jW3V/lKoZnPz0J/PsNH5qQIGFFAbtdx27PUeYboX7OMcjmTEQidkJhB+GInXDYQShsJxwZPHeQyViIx+3E43b2HfCNeC6PJ0d1VZq6miS1tUnqapLU1yaprU3h9eTH4ZOeAkwm0hVVpCuq6Fu6amC9YeAMBynpOEjp4UOUdByipFPMnZk8q1+D1a/BzfcXD2Df3E5eX9XJppUbeH0V/Ho1BKotNEZnMyc8l9nhZuZEmpkVbsab807Gp5VITnvGLGre+MY38vjjj7Nq1SpuueUWPvnJT/Loo4/yyiuvHLVIn2Tm0+vu4bWGjbzWsJHttVvImwduembdzAJ/K8t6VrKsZyXzAguwGBbyeRMHDti592f/BWcAmy3w5KCA3kYLnKGS3vJZzOp7mFUdo2Fulvq6FLW1Kepqk9TWJPG4Rw4CPlnWrjmPf//Xz/DAL+/l3NBAnE9NeSX/fsOHWLvmvAm57slgt+nUVKepqR7ZCtFPMmnBH3DiDzrx+530BVwEAk76Ak78ASeJhK047T8wvE6Vx5MriJ0UdTVJ6mqTNNQnqK9LYreNYwnkiUJRiqn4vcvPHFiva7j9vZQePoiv/QC+Q/soPbQfd9BPy35o2Q/v/s3A7r3VKptW7uP1Vft4fRXcv0ako1ekKpkdbhZCJzyX2ZFmauN10qojkUwwY3Y/6bqOrutYCrUvHn74YV588UXmz5/Phz/8YWy2qet3lu6n8UNHZ0/lLjY2beDVho10+NqHbK9K1LC6Yw0ru1ezuHcZTtVJPGGlbXcZu7Z62bPFyV5/LTnjReANhaOuQLTFLthElK+A8SQAn/uPr7Fi6bJT+AkH0HSNtl3bCUdClPnKaV24ZMancafTZvoCLvr6nHT3uOnqcdPT66a7x0Uo7DzqcYpiUF2VorEhQVNDgsaGOI0NCRrqktMuhmcwtngMX/t+Sg/tx3doH75D+/F2dWAyhgu4QAW8cia8fBZsXCOm3lqwq3aaIrOZHW6mOdTC3FALsyLNMjBZMqOYbPfTCfd+mo5IUXNyaIpGW9UO/jHreV6atYGwayB+yqSbWOhfzOrONZzReRaN0SYiETs72irY2VZO285SDnX5hp3TzY9I8nFEH4KRolfeDvyZj//zJ7jwvDdO6OeTjI5Mxkxvn4vugsjpFz2dXR4SiaM/1FRVpmhqTNBYH6epMcHsWTEaGxJYLdPzK8iUywqLzqH9+A7tp+zgXkrb92NWh1sODzcOFTmvnAmxUvF30xidxdzQPOaGWpgbnMfs8Fwc2iQWbZRIToLJFjUnVKdm/fr1/PjHP2bfvn08+uijNDQ08MADD9Dc3Mz5559/woOWTD1URWV7zVZemvUCLzdtIOqMFLc5c07O6DyLNR1rWdF9BrZEKW27y3h2axWbt1bSfnj4L14rO7mQv3Nm2Q7mrFT5nbmdHzyjIiw0I1WE+SzwJLH4qevbJTk2DofG7FlxZs8aWnbPMCAas9HR6aGj0yvmXR4Od3iIxe34Ay78ARevbaouHmM26zTUJ5g9K86cppiYz4pRWjq2WKLJQLfZCbcsJNyysLjOlM9TevggZft3Ub5/D2X791DS1U5Th0FTB7xrUGu83QtM/GOtzoZzDvLiuQf5+xnPoJtB0U00xBppDrXQEppHc2gezaG5OFVZSFAiOR5jFjW/+c1veP/738/111/P66+/XmwYGY1G+epXv8of//jHcR+k5NRiYLC7cifrm5/jxdnrh2QrubNuzuw4m3Paz2dZ90qCXT5e21TNd7dWsqOtglxuwC2joLOCzVzE37iQv7O0sYPc2a10rjmPeP0lRAHT83+BZ+B4FWG8Hhl4OdVRFPCV5vCVhli6eGh5h2jMRmeXm45OL4c7PbQf9nKovYRkykr74RLaD5ewnoHCfL7STFHgzJ4VZ87sGPV1CcxTvHm9brUSnjuf8Nz57C+ss6RT+A7uo3z/bsoO7KFs/248/l4W7NZZsBtufEDsl3Sb2LjGxPrzVV48t51/nN3O+rnPAqI3WW28nrnBgkUnNI+5ofmyYrJEcgRjFjVf+cpX+NGPfsSNN97Iww8/XFx/3nnn8ZWvfGVcByc5tXSWHGZ983M8P+c5er09xfUlmVLWHBZCZlHXcg7tq+DlV2t54LVqOruGio16OrmEP/NW/o838wzKvCo6zzyXzjWXs6W6btg144n+p/1jV4QZ2E8yHSktyVFakmNxa7i4zjAgEHRwqL2EQ+1eDraXcOhwCT29LiJRB5GtDjZvrSrub7erNM+OMbc5SkthqqtNYpriQkd1uggsWkZg0UBMmC0WpfzAHsr3tlGxt43yvW24k2kufk7n4ucGjt0/z8mL5xo8e2GGDed08mJrJy80/w0QQqch2sS84ALmBRYwL7iAWZE5WHXZgkVy+jJmUbNr1y4uvPDCYetLS0uJRCLjMSbJKSRqj/B883P8vflZ9lcMtFp25J2cdfgcLjzwBlo7VrJjezUvvVrL91+rJhwZ8PdbFJULlb9zuf4Eb+X/WMJ2ok3NtJ97MS+d8y3SFVUjXbZIibcEsKDwFQwe58iYGoX/xsBS2E8yk1AUqKrMUFWZ4cwz+orr0xkzhzu8A0Kn3cvBQyVksxbadpfTtru8uK/DodI8O0rL3Chz58RoaY5SWzP1hU6upJSeFWfSs6KQeaVrlHQeFtWx9+ykYu9OvD1dzN2bZu5euOEXYrek18aWM1z89aIcf3pzio1r2uloaee5lmcAsGpW5oTmCqETXMC8wEJq43WYhrl2JZKZyQnVqdm7dy9z5swZsv75559n7ty54zUuyUlyrIwdTdHYUvc6f5n3Z15pfKnYGNKsm1nRdQYXHngDZ7SvZf+Oel74Rz3ffbmW+KAAULclzSWWp3l35iEuM57CZ0RJlVfSfu7FPH3uR4k1zRn1OCvKKwEVgydReDvGoOwnIWieHLSf5HTA6dBYMC/CgnmR4jpNh65uD/sPlLLvQAn7D5Ry4FApmYyFnbsq2LmrYuB4Z565c4RFZ36LOE9FeWYSPskYMJmJNc0h1jSHA2+8DBDWnIqCJadiz07K9u/GHc9yzt9ynPM3+Ox/Qt5qZvfycl48z8wTb4ny14vS7KnaxZ6qXcVTu7Nu5obmMy+wgPnBBcwLLqQsXX60kUgk05oxi5oPfvCDfOITn+DnP/85iqLQ1dXFhg0buP322/n85z8/EWOUjJGXNr7AAw/8mN7wQHZSTXklb/+nawldH+S5lmeG9FeaF1jARfvfxNkHLyDQNovnN9Rz/0t1hMMDFpkyV4K3uZ/h+uC9vFH9C3Y1h2qzc/jsC9l0/psILFzCiTwety5cQk15JY2hAL38mY6CiAFoxEI10FFeSevCJSf2w5DMCMwmaCqkiV90ficAmqbQ2eVm/8FS9h0Q08FDJaTTVrbvrGD7zgGhU1aWYUFLhPnzwiyYF2HunCh2+9Sup5MrKaX7jLV0n7EWAEVVKT18gIo9O6nctZ2qXdtwRCMsedXPklfhg3eDbjLRsaCaV9e6eebiLI9d2ktPbZKtdaKidz8Vycqi22pBYBEtwXnYZcaVZAYw5pRuwzD46le/yp133kkqlQLAbrdz++2381//9V8TMsjx4nRI6X5p4wt86+6vcjlDKr7wFUVUweVR4J2iw/VF+9/IG/e+Fe+hhfzt+Qb++rdGuns8xXO5nTneWvsPbg3ew6Wx32JBWHRCcxdw4KK3cvici1CdJx+o2D/mtwGXUSwozFPAH4F//9fPTMlCd5Kph6YpdHR62H+wlD37Stm7z8ehw150fajgNpl0ZjfFmV+wCM1riVBfm5xejUANA09vF5Vt26jctZ3KXdvw+HuH7eafVceO1RWsv0Dh8beGeWVRF4ZpqKAz6SZmh5tZEFjEQn8rCwKtVCdqUZhOPxDJVGCyU7pPuE5NLpdj7969JBIJFi9ejMfjOf5Bk8xMFzWafux+RW9X4K91Vj74q3/jzPbz2fJaA8/+rZHXt1QVv/TtNpVzFu7nOv1Bbtj1LVxqAoCcy037eW/gwEWXEJ09/m7Glza+wAO/vJfeIyr3vn+KVu6VTB8yGTMHDpWwe6+PPXvL2L3PN8QK2Y/bnRPuqpYIC+ZHWDAvPO36XzmD/oLAESKntLN92D7Runr2rmpiwwVO/viWJC+17ifkHt6zrzTtY35gIQsCrSzwL6IlOF/Wz5Ecl2kjapLJJLfffjuPP/44uVyON73pTdxzzz1UVR07EHQqMdNFzfadW/jSV+9gA7AGWA90A3XABcDLwLnAOWf9iu0730UsPlDJtHV+iHfOeo5/av86zXteLq4Pz25h71uv5PDZF6LbJrby6elYuVcyOQRDjoLI8bF7n4/9B0rJ54f+rimKwZxZMVoXhFm4IEzrghAV5dlJGvGJYYtHqdy1g8pd26jctY2yg/tRjqiCHG2cTfvyBWw818uf35Tm9Zb97C/fh2YeWkTQpJuYHWlmQcGSs8C/iBppzZEcwbQRNbfddhv33nsv119/PQ6Hg4ceeojzzjuP3/72t+M26IlmpooaTdHYMHs9v97+S3r+uZtfAp/GQgcDX0qNWPgaKjcA8CBwHb7SDG845xA3Wh/kLS/+EHfQDwi/fOea89n71isJzl/E9LLJSyRjR1UVDh32CkvOXh9tu8vwB4a7VqsqU7QuCBeFTlNDfMpnWg3GmkxQuWs71Ts2U7VzC772A0O2G4pCZPZcupcsZctZlTx7cZ4ts/exu7JtRGtOSaaU+YGFLPQvYkGglZbAAmnNOc2ZNqKmubmZb3zjG1xzzTUAvPrqq5x99tmk0+liH6ipzkwTNRlzhmfn/R9/WPQ7/J5eeI6BNkpH9FESKdMiCLdl7mNc+9YKru3+CQv/8jj2hCiul/GWcuANl7L/TW8jLbONJKc5wZCdXXvKaNtVTtueMg4eKsEwhgp8tyvPgnlhWheGWTg/zLyWyPRo6FnAFo9S1baNqu2bqd65hZKuw0O26yYT4bkL6Fu8nH0r57D+fI3tjULkHCjfizqCNac5NI9W/yJa+5aw0L+IsozMtDqdmDaixmq1cujQIerr64vrXC4XbW1tzJo16+RHfAqYKaImao/yp4V/4E8LnyBhF0XpSjKlvGXrpfz27N+i62/laH2UTMrTbHnTW1n496ex5IQpPVFdx67L38Wh89+EPoUbkkokk0k6bWb33jIhdHYLi042O/SBzmzWaWmOsrg1xOJFQVrnT6+4HEckRNXOLVTt2EL1ji14+rqHbNesNgILl9C7dBWdy5by+kqN3dW72F3Vxu7KtiFZlf3UxGuLAqfVv4SGaKOsmzODmTaixmw209PTMySGpqSkhM2bN9Pc3HzyIz4FTHdRE3D5+d2SR/hry9PkLaI3Tk28jrfveCcX7X8Tzz9zmB/9/BPABkauzrsBOJdngYuB8JwWdl1xDR1rzgUZuyKRjAlNUzjY7mXX7rJCUcCyIYUpQWRZNc+Jsbg1xJLWEK0LQrjdwxteTlWcgT6q+0XO9k24wkNdUJkSH31LVtK7dCW9S1dxuFFnV/UO2qrE1F52EEMZeotxZz20+hcLkdO3hJbgfGy6fJiaKUwbUWMymVi6dOkQV9OWLVtobW3FNujp/rXXXjuJYU8s01XU9IuZv8z7c9Hc2xJYwFU73sWa9nPYub2a3z85l81bnwHeB8SBkbLR4kAJP2ycxeLrP0TfkpUyXkYiGScMA/r8Tna0lbOjrYIdbeX0+YfG5fQHHy9uDbG4NcSihSG83vwkjXiMGAbersPUbHudmm2vU7VzK5bs0KKGsfomepeuonfZKvyty4h5dfZUttFWEDp7KneRswwNtrZoFuaG5tHat4RW/yIW+hdTki09lZ9MMo5MtqgZdTDMF7/4xWHrrrrqqhMbnWRUjCRmlvQs411br2NJz3K276jkS4/NZ1exbHxtYX7sPkq9N36EykXLJ3r4EslphaJATXWamupO3nChKBAYCDoKIkcIne4eNwcOiWrIT/5ZWLhnNQ2InMULQ1O3Q7miEG+YRbxhFnsvuQpFzVOxdxc1W1+jZtvrlB3YS0nXYUq6DjP//x5HN1sIzmuld+kq+pauITT3fahmg4Pl+2mr2k5b1U7aqrcTdUaE+6qqjccLl6qPNtLqX0xr32Ja/YupjdfLLCvJqDjhOjXTkeliqYnao/xm2UM8Pf+pIWLmmq3vY0nvcrbvLOfXv5lfLA1vtWq88aLDXH7JXj77pWuIJ8+DEfoowdvxejbwk++vk6nSEskkEArb2dlWzvaC0DmyISxAQ32cJYtCLF0cZMmiICXTxJJjTcap3rGF6m2vU7P1tWGFAHNuD71LVtK7fDU9y1eTKavAwKDX00Nb9Xbaqnawq2onHb7htXVK0z5a+5awuG8pi/qWMCsyB7Mhv8OmIpNtqZGiZpwYD1GTMWd4ctHv+P3iR0nb0sBQMdO2u4yHH53P9p0iM8li0XjLGw5z9ZX7qHTHaP7T73nzY/cT0gDlcjAG1RRW/huMJ/GUevnp3b+SokYimQJEozZ27CovWnPaDw//XpozO8rSxUGWLg6yaGEYl3N6xOS4e7up2fY61dtep3rHZmyp5JDtkVnN9CxfTc/yMwnOX4RRCG2I22LsrmpjZ9V2dlXvZG/FrmFZVs6ci1b/Yhb3CpEzNzRfdiefIkhRcwqZqqJGUzSebXma/13+K8KuEADNwRbe//qtLOtZSWe3m1/9eiEbXxXuJbNZ580XH+Ydb99HhS/J7BeeZclvfsnLQb/I6L4T+L4FOgZ9ETRZ4CMqfAa+9Jk7WSLdTxLJlCMet7JzVznbdpazbUclhzuGWnJMJp2WuULkLFscZMH88LRIIVc0jbL9u6nd8iq1W16l7MAelEG3nrzDSd/SlfQsP5Oe5atJVwwkpORNefZW7Katejs7q7fTVrW9+NDXj021Mz+wUFhyepeyILBQ9rKaJKSoOYVMRVGzo3obP1vzQ9rLDgJQlajhfZtu5NyDFxKPOXjkt/N4+q+z0HUTimLwxosO866r9lJVmaFi13ZWPvAjyg7tB2Cdx8stibiIB3YyvKRwCiiBT3z0U5x/zsXj9dElEskEEYna2L6zgm07xNTT6x6y3WLRWDg/UhA5AVrmRrFYpv5Xui0WpWbra9RufZWaLa/hiEeHbI82zKZnRcGKs2AxunXACqMpGofKDrCzehs7qrexs3o7cUdsyPFm3czc4HwW9y1hUd9SWvsW485P/VY+MwEpak4hU0nUhJxBHjjj5zzf/BwgGky+e+t7eevuyzEydp78UzO//cNc0hnxx7x6ZS/Xv3cXTQ0JHOEgyx7+ObNfFMfmXG7arnwPv5vVzBfv+sLxMrpnrKVGR8fg6L/OZqTLTTK98QccRYGzdUflsB5WdrvK4oUiHmfpkiCzZ8UwT/WSMLpO2cG9woqz+RXK9+0e0spBtTvoW7KiaMVJVdUMOdzAoLPkMDtrthdEzrZh9XIUQ2FWeE4hJke4rHyZyW0+PFORouYUMhVEjaqoPNX6OP+7/EEy1jSKofDmPZdy3aYb8eZKeH1zFT/7xWJ6+8QT2dzmKDdet5Mli0Ioap75f36cRb97CGsmjaEoHLjorWy75iZyJaVousbHPnUrwbMCI9feuwoqNlby/W/8fNrF1OjoqIWXhoaKis5ws7sQLkdmSRhHFTyWwsuMGStWKXwk0wbDgO4ed1HkbNtRQTwxtN6L251jyaIQy5cEWL40QG1NaspXcbAm4tRse53aza9Qu/VVHNHIkO2x+ia6V55F96qzRCyOeejfrIGB390nLDk1wpLTXdI57Dp1sYZCTM5SFvctpSpZPZEf67RhWoqav/3tb3zzm99k586dACxevJhPfepTXHDBBSc+4lPAZIuaA2X7+ME53+FguXAXzfcv5AMbP0JLaD7+gIP7frm4GDdTVpbhhmvbOP+cLkwmqNy5lTPu+x4l3R0ABOe1sun9/0x47vwh13hp4wt8856vwuXAZyjGCfNV4Em4/eOfmfJdr3V08uTJFV79WLFiwYK98LJhw4wZMxbMmDBhKqR9Dk3+NAovHQMdrfjKo5IjS4bMELkEYMaCFQvWwkumk0qmOroO7Ye9RYGzo628aOntp6oyxbIlQZYvDbBsSWDqZ1bpOr72A9RueYWaLa9SsWcnJn3gYSbnctOz4ky6V55Fz/LV5D3Ds8kAwo4QbdUFS07Ndtp9w4sCViSrWNy3hMW9y1jSu0ymkZ8g007U/PKXv+SWW27hne98J+edJ26OL7zwAr/97W9Zt24d73vf+05u5BPIZImavCnPb5Y9zO+WPIJm0vBkvbz/tVu5eN+b0VUzf/jjXB79/TxyOTNms87bLjnINVfvwenUsCYTLHv458x97s+AqOC59dqbOXT+mzhaJ72XNr7AfQ/fS7BvwARbUVPJLdd+aEoKGgODHLmiuACwYcOGHQ9uHDiwYy8KjPG2phgYqKjkBkmpVOGVI3fEmMRLftlJpjqaprD/QAlbtleydXslbbvL0LSB7wxFMZgzO8bypQGWLwnQuiCMbYoHHVuTCWq2vU7d6y9Tu/mVYt86AEMxEZy/iO5Va+heeRaxhllHLS6asMXZVbWz6K7aX7EXzTS0nUVZqoLFvUtZ0ruMJb3LqZMiZ1RMO1GzaNEiPvShD/HJT35yyPpvf/vb/OQnPylab6YikyFq9pfv5Z5zv1WsvXD2ofP4wMaP4MuUcfCQlx/8ZDkHDonqmYtbg/zTTdtpakwAUL/xBVb94kc4IyIjat8b38a299xE3n38gDdN12jbtZ1wJESZr5zWhUumlMtJQyNTeIEQDC5cePHixFm0xEzml4iOTrbwypAhRowMmaL1yFF4SZeVZDqQyZjZuaucLdsr2LKtclj6uNWqsWhhSIicpQFmN03xDuS6RsXeXdRt2kjtppfxHT44ZHOysqYocPyty47Z1y5jzrCnqo3t1VvZUbONPZVtw9LIfemyosBZ3LuM+liDFDkjMO1Ejd1uZ/v27cybN2/I+r1797J06VIymcxRjpx8TqWo0dF5ctHv+dXKdWhmldK0jw9s/AjntJ9PXlV47Pfz+O0fWtA0Ex5Pjpuv38GF53WhKGCPhjlj3fdpeGUDAPHaBl79p38lsHDpuI75VKOhkSZNliwKCg6clFKCBw8OnDiwT/YQj4mBQZYsaTIkSRAnToYMGhpWrDhwYEP2sJFMD8IRG1u3V7JlWyVbtg8POi7xZouuquVLA1RWTN3vdhB9quo2baRu08tU79iMOT/gWlPtDnqXrqJ75Rp6Vq4h4zt25/CsOcueyjZ21Gxje81W9lS2kTcPddWVpn0s6V3Okt5lLO5dSkOsSYocpqGomTdvHp/61Kf48Ic/PGT9j370I771rW+xZ8+eExvxKWAiRI2maaxfv57HHn4CPWvngjecTdwV4/vn/A+bGl4F4Kz2c/jnf/wr3lwJBw95uefHK4pPSWvP7OEDN22jzCee/utf2cDqn9+NPR5DN5vZdcU17Hz7tdO2e/Zgi4yCggsXZZThwo0LJ5bRd+qYcvSLtBQpokRJkiRPHitWnDilwJFMGwwDOro8QuBsq2T7zvJhHcjr6xJFV9WSxaEpXQTQnMlQvWMzdZtepm7TRpxHNOIMNc+nZ+UauladRWTOvOP2wMuZcuyp3MWOmq1sr9nC7qqRRc7i3mUs6VvK4t7lNEZPT5Ez7UTND3/4Q/7t3/6NW2+9lXPPPRcQMTXr1q3ju9/97jCxM5UYb1Hz2GOP8a//+u90dh4sriuprEC9O03quhRW1cYtr36IN++5FAyFp/5vNg883IqqminxZvmnm7Zz9lk9KApY0ilW/PJemv/+NACRpmY2/vO/E501PTqgH0mWLEmSGBg4ceKjDC9e3LhmpLvGwCgKnDBhEiTRUItutZn4mSUzl7yqsHefj80FkbN3nw/DGLhBm0w681siLF8aZMUyP/PmRjGbp2girWHgO7RfCJzXX6Z8/+4hm1PllXStWkv36rPpW7QMw3L8ysQ5U469lbvZXrOFHdXb2FW1k7xlaM+ukkxpISZHWHMao7NOC5Ez7UQNwG9/+1u+9a1vFeNnFi1axKc+9akp3+ByPEXNY489xrvf/W4M4wqGpBkpXwGepGJdFZ8t+zJN0dlEYzZ+8JPlvLZJpAyuXtXLR/5pK6Ul4o+gYvcO1vzom3j8vRiKwq7L38WOd94wpODUdEBDI0WKLFns2CmhBB8+PHimtUVmrBgYpEiTJEGI0BBx58CBiakcqCCRDCeZtLB9Z0XRVdXdM7QIoNuVZ9mSACuX+1mxbGq7quzRMLWbXxHBxltfG9JpPO900bP8TLpWr6Vn+Zmjil+E/qrHu9heu5Ud1VvZVdU2rBu5N1NSzKzqFzkz8btgWoqa6cp4iRpN05gzZx4dHcuA3zGsIIxyFeXlr/CDb99L264qvvP9lUSiDqxWjfdf18albz4krJ26zsInH2XpIw+gGDrJyho2/vNt0y52JkuWFCl0dNy4qaCCEkpwIMuUa2gkSREjSoQIGTKYseDGhZXpJVolkn78AQdbtlWyeWsVW7ZXkEwOdbU21MdZuSzAiuV+FreGpmwrB1MuR/WOTdS/+g/qXn8ZZzRc3Kabzfhbl9J1xtl0n3E2qcrR17Hpb+0g3FVb2VW1c2SR07e0EJOzjKbI7BkhcqadqJk7dy4bN26koqJiyPpIJMIZZ5zB/v37T2zEp4DxEjXPPfccb3jDGzhe6d5L3/xz/u+vN6HrJhob4vzbRzcxe1YcAFs8xpoff4u6za8AcOi8N/L6TR9BdbpOeFynEh2dNGkyZLBgwVd4nW5WmbGQI0ecOGHCxEmgoeLEhRPHaWGWlsxMNB327fexeUslm7ZWsecIV1V/VtXKZQFWLPPT1JiYmgUAdZ3y/bupf+0l6l77B6WdQ7uFh2fPpfuMs+k6Yy2R2S3HjcMZTN6UZ3/5Hrb3i5zqHWSPEDmerLforlras5ym6Oxp+b0w7USNyWSip6eH6uqhqrW3t5dZs2aRzWaPcuTkM16i5qGHHirU44kDI5kn40AJ8CBwHeef08k/f2Ardrt4Winf28bZ3/sarqAfzWrj9Zs+wsEL3zKmP5LJYrCLyYmTcsopxYeb8RdjqgaqqpAvTKqmoOmg6QoYBoahoIjFARRRT9hkApPJwGI2sJjBYjGwmg1sVmPSf8wGBkmSRIgQJkyGDHbsMvZGMiNIJC1s3V7J5q1C5ASDziHby8vSrFgWYMUyEXTsnaIFAN29XdS/+g/qX/sHlbt3DmndkKqoomvVWrrOOBv/oqWjisMZjBA5e4uWnLaqHWStQ112JZlS4arqWc7S3uXUxxqnhciZNqLm8ccfB+Dqq6/m/vvvp7S0tLhN0zT+8pe/8PTTT7Nr166THPrEcaotNfBXbnxfLVdceqB4I537lz+y8oEfYdI04rX1/OPjn5kWwcB58iRJoqHhwUtlwcU0Hhk+ug7ZnEImZyKTEwIGwFIQIRazgdVi4LTr2G0GNouO1chj0lUUTUXRNQxNF5NuoGkG+TxkVTPZnIlM3kxeN5HXLeQ1E4bJjGJSsNoVHE4TDpcJm12ZFLGTJUucOAECJEhgxowLl8yckswIDAM6u9xs3lrFpq2V7GirIJcbEO6KYtDSHGXFcj8rlwWY3xKZkgHHtniUutdfpv61l6jZ+hqW3MDDe97ponvFmXSfsZbuFWtQXe5jnGlkVEVlf8VettdsESKnevswS05ZqpzFvctY2rucJT3LqU3UTUmRM21EjalQhUlRFI48xGq1MmfOHL71rW9xxRVXnMSwJ5bxEjW5XA6XqwRNezPwOMObLL0deIbP3P40q1YId5Oiqqz41U+Y98wTABw+63xe/adPTHl3U5Zs8WZbQgkVVJy0i0nVIJ0xkcyYyOUVTAo47DoOu47Pq1HiEssOi4bdyGDTM1jyaeivO6EoYLGA1SrmFgvY7WCzgdks3g+qGmZoOrm0Ri6jk02qZBIq6aROJKYQj0MmbZDLiy8Hh83A6THj8pgwOWziGqcAFZUECYIEiREriEcP9ileu0ciGQu5nImdu8qLVpzDHUPbGrhceZYtFhlVK5f7qaqcegHHplyWmu2bqXvtH9S//tKQ3lS62ULfkhV0nnkuXWecTbbUd0LX6I/J2V67hW01W9hdtXNYCnlFsoqlPSKzamnviinTu2raiJp+mpub2bhxI5WVlSc9yFPN+FtqAOVyMD7LQPbTf4PxJDDQDduajHP2PXdSs30zAFuvuYldV14zpd1N/enJ/fEy/WLmRJ4MDAMyWYVE2kwmq6AoBh6XTqlHo6JUw+PScTs1nOY8SjoFqRTkckKYOBxiKikRk8MhBIzdLgSH1SqEzFjRdcjn0TJ5UpEcyUieRDhPoCtHzJ8lHc1h5PI4zVk8DhWHywwOu7i+eeJihvpdUyFChAmTJy/jbiQzlmDIzpZtVWzaIrKqEkc05KyvSwiBsyzA4tYQDod2lDNNErpO+b5d1L8m3FQlXR3FTYaiEFiwWAicM88dU6DxkeRMOfZUtbGtZouok1O5C+2IisfV8RoRj1Ow5FSkJ+cePe1EzXRm3GNqPgF8zwLaoF8uswX+RYXvwic++ikunTOf8779Jbw9Xah2By995Ha6V59z8h9mAhCpyCnSpLFjp5xyyig/oXgZw4BkxkQ8KawxLoeBz6tRXZanxKNR4taxWXQhYBIJyGaFhcXlgrIyKC8Ht1u8dzqP2udqIkinIR7KE/Nn6DucI+rPkQkmsGaTeM0p3NYsitksBI7TKcY9AYiaNxFCBMmQwYkTFy4pbiQzEk2H/QdKi66qPXt96PrA373ForFoYZhVy4UVp7Fh6gUcezvbaXh1A/WvbKD8wNBCtOE5LXSuPpfONecSr286qYfarDlDW9XOoiVnX8VudNPQDLO6WEPBkiOsOb7M0ZstjydS1JxCJsJScznwNsAJpIEngT8W9vvmzR/jX37zAPZ4jGRFFS9+8gtEZ889uQ8xAejopEgVb5yVVOLDd0Ip2cm0iVjShKopuBw6laUq1eUqPq+G26mLYLtEAuJxYS1xOoWIqa4Wlhiv95S5fEaDYYjhRqPg78oT6MiQDGUwJeOU6hHcJFE0VYzZ6RTTOH/TZsgQIUKAAGnSOHDgwjUj0j8lkqORTFrYtqOCTVur2Ly1En9g6MNVZUWalQWBs2xJcMpVOHYF+qh/dQMNr2ygctf2IYHG8doGOs8UAifcPP+kvzPSlhRt1TvYVrOFbbWbOVC2H+MIkdMYmVXMrFrSuwxvbnxbBfUjRc0pZDxjakpcLt6iafyekSNqnlYUwhYrrnyOUPM8Xvj3L5EtPTVKebQMzmRy4aaSCnz4xhzHkcsrRBNmUhkFt1On0qdSW6FSVqLichgFs01SKANdB48HqqrE5PMJa8w0IZ2GSAR6e8Hfo5IMpLHmUpSqAZz5GGQyoJgGLEwn4ho7CjlyRIjgx0+aNDbsuKW4kZwGGAZ0dbvZtKWK17dUsaOtnHx+4G/LbNZpXRBm5XI/q5b7mdUUn1JWHFssSv1r/6DhlRep3r4JszogwFLllXSuPoeuNecSWLAEYxy+M5LWRKFvlbDkHCo/MGyf2aFm4arqXc7i3qW486MrNHg8pKg5hYy3peZ4uU/PAouWrGDDJz43pQKCNTQSJFBRceOmiipKKR1TMTjDgFjSRCxhxmIxKC/RaKjOU1Gq4nEVnhCyWSFkMhnhSqquhpoa4VqyT/8A2HQaQiHo7ga/HzLRLC4jjk+PYImFhGsNhMBxucZN4OTJF8VNkiR2HFLcSE4rslkT23dWFEVOT+/QjKOysgwrl/lZtcLP8iUB3O6pY8WxpFPUbtpIwysvUrf5lSEVjbOeErrOWEvXmefSu2TluPX8i9ti7KjZytZaEZPT4Rtag0fRTTSH5xYtOYv6luBUT+yeJUXNKWS8Y2qOV6XmnpZW6j/7tSnT7kBDKxZ98+KlkkpKKR1TJlNehXDMQjqrUOLWqa/KUVsh3EsmE0LtxONCzFgsUFEBjY1iPo0sMmOh/yMHg9DeLiw5ipbHZ47jzkXEhmRS7Oxxg9M1LjFCefJEidJHH0mS0i0lOW3p7nUJgbO5iu07h6aNm0w6C+ZFWLVCWHFmz4qdyhC9Y2LKZanZton6VzdQ/9o/sCfixW15h5OeFWfSeea59Kw4c1wfjCOOcKEQ4Ba21W6hu6Rz6Lh0Ey3BBcWg41b/Iuza6MIRpqWo2bdvH/fddx/79u3ju9/9LtXV1Tz11FPMmjWLJUuWnNTAJ5JTban50qe/ypIlK074OuNFnjwJEhgYlFJKBZWU4B1TobdURiEUM6MAlT6NppocVWUqDnvh10dVxd08mRRxMQ0NUFsr3EtT5RvkFKCqwnrT1SVcVMkkeJ15SpU45lhYCJxUUgSUezwi2Pgk6bfc9NFHipQMKJac1vSnjb++uYpNW6vo7Br66FlamhVWnOV+li8L4PVMjeJ/iqZR2baNhldfpP6VDbgGdRbXrFZ6lq2m86zz6Fq19oRq4RyLoDNQsORsZnvNFvq8vUO2mzUL84MLWdIj6uQs8C/Cpo9sRZp2ouZvf/sbl112Geeddx5///vf2blzJ3PnzuVrX/sar7zyCo8++uhJD36iGM/eT/PmzGFZZye/M4xhMTVXAy+XV/Ld//k5ZtPkVYjNkiNBHBOmgpgRBfNG+yTf72KKJsw4bAZ1VTkaqlQqStUBnZLLibu4qgq30qxZws3kdB7z3KcD8Tj09cHhw0LvWa1Q4c1hTUUhEIBwWLjmnE7wek46VTxHjjDhYsyNCxdOnFLcSE5revucbNoiBM7W7RVkswN/Z4piML8lImJxVviZOyc6NZ7B+ls2vLqBho0v4u3tKm7SLBb6lq6iY815dK0+m7zbe4wTnRh+dx/bajazvWYr22q3EHT7h2y3alYW+BextHc5S3tW0BKcj1UXHolpJ2rOOeccrrnmGm677Ta8Xi+bN29m7ty5vPzyy7zzne+ko6Pj+CeZJCaiS/cVwB2G0V+lhjuBJ4B//9fPsHbNeSc/6BNgoGCehTJ8lFOBdww1ZnQdInEz8ZSJErdOU02Ouso8JZ5B0fSZjLA6KIoQMbNmicDfCUpvns7kciLm5vBhIXJA6D+nnhRqp68PYjGhIr3ek3bTZckWxY0IAhfiRiI53cnnTbTtLuP1LVVs2lzF4c6hgsDrzbJyWaBoxSktyU3SSAdhGJQePkjDxudpfPn5IbVwdLOZviUriwIn5y09xolO8PIY9Hp62F67ha01m9leu4WIMzxkH3veQat/Mct6VlC2YTYfvPjdLBtnr82EiRqPx8PWrVtpbm4eImoOHjxIa2srmczUqwDZz3iKGhDC5t//9V852Dngj6wpr+T9N3xoUgRNf8E8K1bKClVm3LhHLWZUDSJxC6mMQplXY3ZdjtqKPE7HoF+RdFqIGYsF6usH4mWmxOPN1EbXxY+uo0O4p/J5kc3ucWoiBikQEDuk0+ByCvfUSVhvMmQIEiJIgBw5WaFYIjmCQNBRDDbeuq2CdGYg/lFRDOY2R1lVsOK0zI1gngJfc97Odhpffp6GjS/gO3ywuF43mfAvWk7HWefTtfqcE65mfDwMDLpKOkQhwEKdnLgjNmSf/+r8Cp9r+Oy4XnfCRE1jYyP/+7//y7nnnjtE1Pz2t7/l9ttvZ9++fSc9+IlivEUNCFfU+scfZ8M3vkvnwvO44I1nn1KX09CCeY5CubxyXGMomKdqEIpayGQVKstU5tTlqKlQsVmPImYaGoRlpqxsSldFnqoYhjDQ9IubVEr8KL1exJtwGHp6hP/KbBYbTiJbLEWKQEHeqIUgcdlbSiIZiqoq7NpTVhQ5h9qH3iM8nhwrlgZYtcLPimV+fKWTb8XxdHfQuPEFGl5+nrJD+4vrDcWEv3UJnWvOp3PNuWR85RM2Bh2dw752ttVsZlvtZrZVbuX3h3/PWxe8eVyvM2Gi5vbbb+ell17ikUceYcGCBbz22mv09vZy4403cuONN/LFL37xpAc/UUyEqOnn1+v+QHd7jMa5p6YWzXgUzFNVCMYs5PMKVWUqs+tyVJfnsQ42DmQywoLQL2ZmzxbBv1LMjAuxmBA27e0iqNjnEzUIi4HXfX0QCor3Hq9IjT9BEiQIECBECAUF7xiDxSWS04lQ2M7mrSKjavO2SlKpoVmszXOixbo4C+ZNfiNOd29XQeC8MKSacbFdQ0HgpMsntn3C3p1+3v6+tdMnpiaXy/Gxj32MdevWoWkaFosFTdN43/vex7p16zCPY7Gx8WYmiJrxKJinqhCIWlBVherygpgpyw8Nh8nlhJhRlAExIy0zE0YiAZ2dcOiQWC4rK4ib/nxxvx/8fZBKC2Hj8ZyQy8/AIEYMP34iRLBixY1bihuJ5BhomsKefT5e3yysOAcODo1dcbnyLF8irDgrl/spL8se5UynBpe/l4aNL9C48QUq9rYN2Rac10rHWefTuea8k+pHdTSmXaBwP+3t7Wzbto1EIsGqVauYP3/+CQ/2VDGdRY2GRpIkefInXDBP1SAYFZaZfjFTU54fWhNOVYWYUVURM9PcLGJmpJg5JSSTwi3VL27KywtuKSi4AAPQ3SM22u1Q4j2huBsNrVjjJk5cpoFLJGMgErUJK84W0cLhyEacc2YPxOJMthXHGfTT8MqLNL78AhV7dqAMuuWH5i6gY815dJ51HsnqunG53rQTNc8//zznn3/+SQ9wMpiOomawmPHgKbqZxlIwT9MHYmaqy1Xm1I8gZnRdpGan06Lqb3OzyGqSAcCTQiIxIG6SSaErPf3lNvrT6Hu6IRIFixlKfSeUeaaiEiZML72kSePBc0I9vySS0xVNh337B6w4+w+UYhgDDwduV57lSwesOGW+ybPiOMJBGl7ZQMPG56lqG9qPKtQ8n461F9Cx9oKTsuBMO1Fjs9loaGjguuuu44YbbmDx4sUnPdhTxXQSNf1uJpG14qXqBKr/6jqEYmZSGROVPpW5DULMDLv3RaMifqO8HFpaoK5OpmZPEeJxEW9z+LAIb6qsHFQCSFUhEhaWm1BIrPP54ARKq2fIEiRIAD958jKYWCI5QaJRG5u2VvL6luopbcWxR8M0vLKBxpefp2rn1iECJ9iyUAicNeeRHqPAmXaiJhAI8PDDD/PQQw+xYcMGli9fzvXXX891111HY2PjSQ98IpkOosbAIEmSDBk8eKimesxixjBEnZlY0kRFqUZzQ5a6yiMCgEFYZfx+EaMxdy40Nc2InkwzkUhEWG06OkDThLgp/lfp+kCXzUBA7ODzndD/ZZIUfvpkMLFEMg5MFyuOPRoRLqqX1lPVtm2owJnXyuG1F9B51vmjCjKedqJmMAcOHODBBx/koYceoq2tjQsvvJC//vWvJ3q6CWeqi5oMGRIkcOKkltoxu5lAVAAOx82UujWa63M0VOex2474L1ZVkVWjKCI1u7l5UOCGZKpiGMIgc/CgCCo2m4W4KRrVDAOiEejphYBfBFH5SsE+NnfSkcHENmy4ccueUhLJSTIqK86Kyc2oskdCNLzyIk0vPU/lrm1DYnACCxbTcdYFdJx1HpmyihGPn9aiBkSdlqeeeorPf/7zbNmyBU3TTuZ0E8pUFTUaWjETpYoqKqgYc5G0VEYhELHgcug01+doqskNLZoHA3fFVEr0ZWppEXdFGQQ8rdB1YWDbv1+Us3G5hOewGP5kGCJXvKdHZEydoLhRUYs9pRIkcOPBJSsTSyTjwhArzuYq9h3wDdk+Faw4jkhIZFG9tJ7K3QNBxv1p4h1rL6BzzXlD6uBMW1Hzwgsv8Ktf/YpHH32UTCbDVVddxfXXX8+ll156woOeaKaiqEmQIEuWCiqopho3Y6tDkssr9IXNWMwwqybHnPocXrc+fMdkUhTPKymB+fNFZpOMm5nWqKrQLfv2if/a0lLhdSrSnw7e3X1S4iZHjhAh+ugjR07G20gkE8DxrDjNs6OsnEQrjiMUoHHjizS+LAROP4aiEFi4lMNrRZr4zk59eomaO+64g4cffpiuri7e8pa3cP3113PVVVfhOsl+NaeCqSRq+q0zDhzUUksZZWOKXdB0CEQs5FVorM7TXJ+jvHQEK1m/q8lkgjlzhKtpGvxfSUZPNitibfbvFxqmqmqE/+JY7Ahx4xtzzE2KFH0y3kYimXBGZcUpdBoXVpxTW93YGQrQ8PLzNL20fkgdHEMx0T5rIcaX72DOTe8f12tOmKg577zzuP7663nPe95DZeXEViYcb6aKqMmQIUmSMsqop35MzQYNA6IJM9GEieoylZamLDXl6siZ1+GwuMvV1cG8ecLVJJmxJBJw4IDIltI0kZFvHVzGaES3lG9M4qY/3qaPPqJEsWMfU38xiUQydkZrxTljhZ/5LafWiuMM9NFYcFFV7NsFwMGf38+cW24c1+ucspia6cRUEDVxEqjkqaWWaqrHFAiczij4Ixa8Lp15TVkaqnPDM5pA5P729Yng3/nzRUVg6Wo6bQgGhdWmq0volWH9Rg1DpPH39Ay0Dff5jlBAx6Y/3qaHHlnfRiI5hWg67N3nK3Yan0pWHJe/F/sf/0Ldt+5g8fIp3KX78ccf57LLLsNqtfL4448fc9+3v/3tYx/tKWIyRY2BQZQYZsw00kAZZWPqnu0PC1EyuzbH3MYcbucIcTO6LlJ683mR1TRv3qCKbZLTCU0TmmXvXiFyim0XBtPfWbOrS/zemExQ5htTheIMWQL4CRBARR1z+QGJRHJyHNeKM2egLs6psOJMi0Bhk8lET08P1dXVmI5RYVZRFJn9NIKoMTCIEMGOnSZmUcLo06ejCRORuJm6SpV5TVkqferIyUqplEiJqaiABQtEdpPMajrtyWZF4b59+0RZoqoqcBxpUNF14ars6hroxO4rHZO4SZDAj58gQaxY8eCRKeASySlmKlhxJlvUjOpbS9f1EZclx8fAIEwYFy5mMWvU2U2qCj1BCw67wYr5aWbVHcXVpOvChWAY0NoqiugNu2tJTlfsdmGwq64WLqnDh4VBpqqKgTYZJpMQwz6fSPnv7AB/QPwelZSMqlWGBw8uXPjw0UMPIUK4cMsUcInkFGI2wcL5ERbOj/Ded+0ZsOJsrmbzNmHF2fBSPRteqgdOvRXnVDBmO/EvfvELrr32WuxHBBfmcjkefvhhbrxxfIODpjtRojhwjknQRBMmogkzjdV55s/K4vMexfqVTAq3QXW1sM5UVUnrjGRESkpgxQphwNu7V2RLDUsBN5vF71BZmfi96uwUVYo9HjEd53fLhIkyyvDgIUiQPvoIEqSEkjE1XpVIJONDaWmOi87v4qLzu0a04hw4WMqBg6U89vg83O4cy5cGOKNQF8dXemozqsaLMQcKm81muru7qa4e2g8iGAxSXV0t3U+D3E9x4oBCM3PwjsLlpOnQG7RgsxrMb8oyqzY3cnxvv3UGhGVm7lzZ3kAyavL5AZdUMnkUlxSIxpl9fcItlUgIZeQefR2l/pYLQYKYMePBI1PAJZIpQrHT+OaqohVnMCdqxZkW7qfBGIaBMsITW0dHB6WlpWM93YwlTRoNjTmjFDSZrEJv2EJdhcrC2ZmRa86AyGzq7RV3ooULhZVGIhkDVqvQwVVVQtiM6JIC0RizsREqK0Trhe5u6O0ppIEf38XpxoWL2QWXVG/RDetC1kmSSCYbX2mOi87v5KLzO0dlxVkxqLrxVLbijFrUrFq1CkVRUBSFN73pTVgGmRA0TePAgQNTuprwqURFJUWKRhop4/h1ayJxM4mUiQVNWebPyg7v1dRPICBEzfz5YpKxM5KTwOsd7pIaMUvK4RSFGysrB4RNNCZ2Pk4auIKCDx8ePAQGuaRkVWKJZOpwZCzOYCvOpq2VJJM2XnypnhcHxeKcsaKPVcv9zJsXwTyFcgJGLWquvvpqADZt2sQll1yCZ1CqsM1mY86cObzrXe8a9wFON0TqdpRKKqmi6tj7GsLdZDbDqtYUTTX5kcMWVFXcTLxeOPNM0eJAxs5IxgFFEaKmvFwU7du3T4ib6mphqBmCxyPEdFVVQdz0gsUsLDfHyZSyYKGWGkopoZdeggQxYcYrXVISyZRjRCvO5ipe31LN/gOlRSvOb34/f5gVZ7IZc0zN/fffz7XXXotjGloJTkVMTelcC2YstDD3mMXINB26/VZKPRpLWjJUlakj75hIiDTbpiaR3SS7aUsmkGh0wCXlcBzRKHMwul7IlOoUc6cDSkpHJbb7hX8vvcSI4cQ55p5nEolkchjJijOYhtogX/6vJB/4p1njet0Ji6m56aabTmpgMxkNjRw6LTQdU9CoGnT5rdSUqyxtSVPiOUqafCAggjWXLBEdtWVVYMkEU1oKK1dCTc2AS6qiYoT4YJNJuKN8Pgj4oaNTVPsr8YL72AUfB7ukgtIlJZFMK45nxensqcBmT0za+MZ8l9Q0jf/5n//hf//3f2lvbyeXGxowFAqFxm1w/Rw8eJD/+q//4q9//Ss9PT3U19dzww038NnPfhbbMBv55JEnTyX1+PAddR9VhU6/jYaqHMvmp3E5RjCUaZow73s8sGyZ6N0k3U2SU4TJJDprVFSI2jYHDoiWUVVVI+hqiwVq66CsXLijOjtHHUxswUINNZRIl5REMi0ZEovzbhGL88yfHKxYPnl9Bscc3vPlL3+Zb3/721x77bVEo1Fuu+023vnOd2IymfjSl740AUOEtrY2dF3nxz/+Mdu3b+d//ud/+NGPfsRnPvOZCbneiaCi4cJFDTVHbX/QL2iaanKsWHAUQZPLDQQ1yPgZySTicMDixbB2rTDKdHWJrgojYreL1hzLl0NDo3Cb+v3il/44OHEym9m00IITJxEiJEmO62eRSCQTj680xxnLDkyqU2HMMTUtLS3cfffdXH755Xi9XjZt2lRc949//IMHH3xwosY6hLvuuosf/vCH7N+/f9THTGRMzUPrHifdDivmzh9xu6ZDR6+Vppo8y+enR85wSqWEy2nOHFi0SGY3SaYMqiribPbuFXqlpuYYpZEMA6IR4ZIKBETEcWnpqCoTq6jFLKkcWemSkkimGdOuTk1PTw/Lli0DwOPxEI1GAbjiiiv4/Oc/f4LDHTvRaJTy8vJj7pPNZslms8X3sVhswsYzh9mEyIy4zTCgs9dKfVWepS1HETSxmJgWLRJ17WX8jGQKYbFAc7Ow2OzdKzKlHA7hohpmSFQU8JWBt0QEuR8+PFCZ+DiB7v1ZUiV4i7E2snCfRCIZLWN2PzU2NtLd3Q0Iq83//d//AbBx48ZhrRMmir1793LPPffw4Q9/+Jj73XnnnZSWlhanpqamCRuTBctRG/j1BC2U+1SWtmRwjuRyCofF4++yZaKgnhQ0kilKf22bM88Ulpr2dmFgHBGzWbhRly+HBfNFxlRPj6i1dBxE2T7hknLgJEyYFOnx/TASiWTGMWZR8453vIO//OUvAHz84x/n85//PPPnz+fGG2/k1ltvHdO5Pv3pTxcL+h1tamtrG3JMZ2cnl156Kddccw0f/OAHj3n+O+64g2g0WpwOHz48tg87DgSjZuxWg2UtGTyuEbKcgkERR7NypSjzKuNnJFOc/kDitWuFBo/FhFY5aocUqxUam4S4aWqE5OjibfqzpObRQhNNaKgECZInP/4fSiKRzAjGHFNzJBs2bGDDhg3Mnz+fK6+8ckzH+v1+gsHgMfeZO3duMcOpq6uLiy++mLPPPpt169ZhGoWPfjATGVOzcd12Au0pqucOpLMm0yYicROrF6VpqB7hizgQEE+vy5eLu4REMg3x+2HPHiFsystHUUopEhFZUn7/mOJt+ntJBQhgwYIX71GtoxKJZHKYdjE1R3LOOedwzjnnnNCxVVVVVFUdu+puP52dnbzhDW9g9erV3HfffWMWNKcaVYNAxMzi5gz1VSMImmBQCJoVK0SGk0QyTamqErqkvV3E20SjokrxUb2oPp9QPlVVA/E2Xq+IuTkGblw4mUUppfTQQ4gQbtw4cY77Z5JIJNOTUYmaxx9/fNQnfPvb337CgzkanZ2dXHzxxcyePZtvfvOb+P0DpZhra2vH/XrjQU/QQn1Vnpam7HCPUiQiWiWvXCkFjWRGYLOJ+PaKCmG16ewUOqXsaK3P+uNtfL5CfZuOQn2bsmN2nDdhooyyQi+pAH30kSJFKaVYTv4ZTSKRTHNG9S3Q3/fpeCiKgnZUx/qJ8/TTT7N371727t1LY2PjkG0n6T2bECJxMw6bQeucLNYjf8KJBCSTQtBIl5NkhlFWBqtXi5Tv3buF9eaY6d82m2gBUlZWKNzXK+LKynzH7CdlxUoddZRQUsySsmHDg+eodaIkEsnMZ1Q+HF3XRzVNhKABuPnmmzEMY8RpqqGqEE2Ymd+Uxec94ueRyYhMp8WLxRe5RDIDMZth9mw4+2xRcsnvF+Fjx/xz9XhgwQJYulT4svwB4cc6zt+4Gzezmc1c5mLBQpAgmaOUVpBIJDOfkwpMyYwiNfN0oy9sob4qx6zaoe0jUFXxFNrSIrOcJKcF/enfq1cLg8zhw8fJ5lYUEWm8eDEsahXBwz09x8gZF5gwUU4585hHPQ1kyRIihMbEPGRJJJKpy5hFjaZp/Nd//RcNDQ14PJ5iRd/Pf/7z/OxnPxv3AU4nUlkzJhPMa8oODZI0DNHLqbFR5MBO8SBniWS8MJnEr/3atULPh0LQ1ydi5I9Kfz+p5cuEqSedFg8Ex0kBt2GjgXrmMY9SSokQIU4Cg6ln0ZVIJBPDmO+u//3f/826dev4xje+MaSZ5NKlS/npT386roObbuRUhTl1WSp9Rzwh+v0iIHLxYvHIKpGcZrhcorbkmjVi+fBhEVp2TBxOYdVctkxkSgWDwn17TEUEHjw008wc5mBCIUiQLNljHiORSGYGYxY1v/jFL7j33nu5/vrrMZsHypavWLFiWKG804mcqlBVmmdO/RHp24mE+BJetOi4KasSyUxGUUSq99q10NoK8fhxivb1U1oq/n4WLxYRx729ooDfMTBjppJK5jGfOupIkyFMWLqkJJIZzphFTWdnJ/PmzRu2Xtd18vnTt9KnxWxQ4c3hdg56ilRV8XQ5b55IAZFIJMXu32edJQyYHR1C+x8Tk0mkgC9bJv6e8qpIAc/ljnmYAzuNNNJCCyWUFDuAS5eURDIzGXNhh8WLF7N+/Xpmz549ZP2jjz7KqlWrxm1g042VC9JYI3EYXAist1fUoZk7d9LGJZFMVfqL9h04APv3i3YL1dXHaX1ms8GsWVBeJrqA9/aKdCufT8yPQgleXDiJEKGHHoIEKaFEdgCXSGYYYxY1X/jCF7jpppvo7OxE13Uee+wxdu3axS9+8QueeOKJiRjjtMBuM4baveJx8QW8YIHofSORSIZhs4nY+cpKUdems1OUrDluFxOPd+DAjsMibs3tPmaPBgsWKqnEg4e+QruFFGm8sgO4RDJjGLP76aqrruIPf/gDzzzzDG63my984Qvs3LmTP/zhD7zlLW+ZiDFOPzRNpHm0tIgUVYlEckwqKkTn7xUrhEepo+O4yU4iSKeyEpYshfnzBrqAZ48dFOzAQRNNtNCCGxdhwiQ5XtSyRCKZDpxQXfELLriAp59+etj6V155hTPPPPOkBzXt8f//9u48Pu66zuP4azKTTOa+kjTpkfRKS0tLoa2EyK76ELAiIhUFVrvQinhgFdgiPEDleIgLRWRXQHHdXS0sD7WKUlYQRR7IoRy1FuuicvXMfU3u9E5++8c3M8m0TTKTTDqZ5P3sYx4wk8wv3/xo6Kff7+doNvvoxxzRicjQcnMH/h4QG7Xg95uTpRHfOHMWhMLmTQ0NkGPrP5I68f/ibNgIEMCDhyhRGvu7Evvw6UhKJIulvFPT3d3NgQMHEl7bsWMHF154IRUVFWlbWNY6eND8jbG8XOXbIqMQCsHy5XDGGWbTs6bGjEobkcdjfu6WLAF/f1fizs5huxI7cDCNaZQznwIK6KabDjpUJSWSpZIOaqqrq6msrCQQCBAIBNiwYQP79+/niiuuoKKiAo/Hw8svvzyea80OLS2m21hRUaZXIpK1HA7Td6+iwvw4NTSYFjUjinclXmRybsAkEx8avvu5CxdllDGPeeSTTxtt7OfAsO8RkYkn6eOnG264gYMHD3Lffffx2GOPcd999/H73/+eiooKdu3addygySmpp8f0opkzR2MQRNIgEDCzXwsLTSJxdbX5+8Iwg7wNR66pPAyFzATw+gbo7DJVU8McSQUJJkwAj1VJ5aJkf5FskHRQ8+KLL/LYY49x1llncemll1JcXMyaNWu47rrrxnF5WebIEVNuOmISgIgky243P1ahEOzcaSZ/u1xmQ2bEvzu4XDBvPkQKTETU3GJe8/uHfLMDB8UU48NPc3+VlAMHPnzkjG1cnoiMs6R/QhsbG5kzZw4ARUVFuN1uzj///HFbWNY5fNhUYpSWZnolIpPS4AGZdnsSAzJjbDYTES1ebFoZxwZljvBmD25KKWUe83DipJVWDuhISmRCS6n6KWfQIMacnJyE2U9TnsNhdmg0CkFk3MQGZIZCpkJq3z7ToTgSSWLXxuGAkhLzc1pXB/V1pp/UMEdSOeQQIpRwJLWf/QQI4Bhd8aiIjKOkfyoty2LBggXY+v/P0d3dzRlnnJEQ6AC0tramd4XZYsmSJA76RSQdPB447TSTa/POO+ZIato0E+CMyOUyteORMFTXJHUklUsuJZTgxx/PtcklFy9eHUmJTCBJBzWbNm0az3VkP48n0ysQmVJycmDGjIFcm337zGZMQYH52IiCIdOZuKUZqqrNkVQoNGxk5MFDGWUECNBII6204sVLPslEUyIy3pIOatauXTue6xARGRW328y5HFwhVVhoXh+RwwHF/UdStckfSYUJJxxJ9dBDkKDGLYhkmA6FRSTr2WwD6TK7dycOyExq1yZ/0JFUTY3pN5Wfb5r4DXEklUce05mOHz+NNNJGG3nk4cWLDbV0EMkEBTUiMmm4XKbIKTYgs7ra/HvSp8MnOpIKBs2Fh+DFixs3QYI00kiUqI6kRDJEQY2ITCo2m0kaHrxr09VljqTsyZwOnehIqrt7xCOpCBF8+GimhWYdSYlkhIIaEZmUnE5YtGhg16amxpR+J911IX4kFYGa6qSPpGYwncAxR1IePKqSEjkJUv4pOzhMw6r6+voxLUZEJN0KC+Fd74JTTzWTTOrq4OjRFC4QDMKiWOM+u5kldWD4JnxevMzp/+XAQSutHCSZToEiMhYpBzXLly9nx44dx73+i1/8gtNOOy0daxIRSau8PDPfsqLC7NzU9Rc5Jc1uN0dSpy01XcP390BzM/QOHR3FjqTmM5/pzOAQh4gS5SipRFQikoqUg5r3ve99nHXWWdx9990A9PT0sG7dOi6//HK+8pWvpH2BIiLpEonAypWmBPzgQaitTXHXJnYktWSpybFpaYGOdrCsId8SO5Kaz3wiROiggy666KNvzN+PiCRKOafmwQcf5IILLuCqq67iySefpL6+Hq/Xyx//+EeWLFkyHmsUEUmb3FyYP98EOG+/bXZtAgHzSFowaIZRNTeZKqnGRnOBJKqkYo37YlVSLoZ+j4ikZlSJwueffz4XX3wx3/ve93A4HDzxxBMKaEQkq4RCZjhmbNRCTY2pmsrNTfICsSOpFKukBjfua6ZZs6RE0ijl46ddu3ZRWVnJk08+ydNPP82NN97IRz7yEW688UaOHDkyHmsUERkXDgfMnWtybaZPN21p2tpSvMgoj6SmH3Mk1UGHjqRExijloOb0009nzpw5/OUvf+G8887jG9/4Bs899xyPPfYYZ5555nisUURkXAWDsHw5nHGGiUWqq+Hw4VFcJMUqqdgsqXnMw4mTVlrZz/DvEZGhpRzUPPjgg2zevJlgMBh/7d3vfjd//vOfWb58eTrXJiJy0tjtUFYGZ51l/tnUBNHosBsuJ77IKKqkQoSYz3xmMYtejhIlymFSjapExGZZKf3IZrXOzk4CgQAdHR34/f5ML0dEJqi+PlMZ9fbbAzOkhhnePbT2dtO4r7kFXMM37ovZz36aaKKVVmzk4MOrrsSSNXb/PcqH17yLxaeektbrJvvnd8qZaf/zP/8z5MdsNhuXX355qpcUEZlQcnJg1iwIh00S8b59pkNxQcGIMUmiWJVUQTNUVSVVJeXGTRll8VlSbbThwoWHZAdYiUxdKe/UhEKhhOdHjhxh//795OXl4Xa7aW1tTesC00k7NSKSKsuC+nqza9PWZqqlholJhnbwANTVQ10t9FnDVknFHO0/imqmmQMcwIcfJ3mj+0ZEToKs26lpO0FpwDvvvMPVV1/NDTfckOrlREQmNJvNVEaFQrBzJ+zda46kCgvNjk7S8l2m1CocTvpIyoGDaUwjQIAmmokSZT89+PHrSErkBNIyYa28vJyNGzdy7bXXpuNyIiITjssFS5aYOVI+n6mQ6ukZxYViVVKLFpmdmoaGEauk8slnFjOZx1z8+GmnnS66sZgyKZEiSUlbtyeHw0FdXV26LiciMuHYbFBcbHZt9uyBXbsGEontqWyc2O3mQsGgaWkcG0YVDpvmOSf62tjw48eNm3baE7oS5zOaLGaRySfloOaXv/xlwnPLsqivr+c73/kOZ599dtoWJiIyUTmdph1NJDLQjTgcNjs4KcnPH3QkVQMtzeDMN8nEwxxJFVCADx8tRGmmiR561JVYhFEENatXr054brPZKCws5P3vfz/33ntvutYlIjLhFRaa+GPfvoFdm2nThtxsGVp8llSBybdpaDAXdruHfIsTJzOYTgA/zf35Ng4ceFUCLlNYykFNX5/aeIuIxOTlQXm5KfeODcj0+02ckpLBR1L19aZRTnf3sEdSMDAoM0iIRhpUAi5TWloShUVEprrYgMzTT4fe3lGOWgBzJDVnDixdaiKlaNQ08Rum+4bpShxkPvMppRQLixZaOKSuxDLFJLVTs2HDhqQv+G//9m+jXoyISDZzOEw8MjjXxuUymy0pNe0Dc/zk9ZrApjq5IymVgMtUl1RQ8+c//zmpi9lS/qkVEZl8/H4zHLOoyBxJVVePctSC3W6SdIJBqK+D2kFVUrm5Q74tVgIeJEgTjbTTTh55ePCQow16mcSSCmqee+658V6HiMikMnjUwq5dJpnY4TAbLyk17QNTbjV7DoQjJtemsdEk8wQCQ17MlID78PSXgMfmSbnx4GY0LZFFJr6kf7R2797NFJp9KSKSFh6PSY9ZudKcHI26aR+YLaCFC2HxYhPoNDaOeDE7diJENAVcpoSkg5ry8nKam5vjzy+77DIaGxvHZVEiIpOJzQYlJVBRYRoJd3WZKqmjR0dxsZwcc5a1dKnpcXPkiAluRshKziWXYoqZz3wKKWQ/+2mjjV56R/dNiUxASQc1x+7SPPXUU/SM+q8bIiJTT36+CWoqKswxVG0tdHSM8mJ5eTB7tpndUDzNTNtsbYUR2m64cVNKKfOYN2jkQhd9qF2HZD+1nxQROckKCkw6TFWVGZJZU2PygYfJ/R2azwcLFvZXSdWYXRufz1RODSE2csGDhzbalG8jk0bSQY3NZjuuuknVTiIio5ObC/PmmfLvXbtMro3HY/rdpPy/1pwcKCiEQNCUftfUQGMDBEMm92YIduwUUIAfP6200kRT/zwpH07yxvT9iWRC0kGNZVmsW7cOZ/8PyMGDB/n85z+Px5PYtfKxxx5L7wpFRCaxYNA07IuVf1dVmV2blMu/wURKs2aZyChWJZVjM8HNMBM388ijmGL8+GmhhShRDrAfHz71t5GsknRQs3bt2oTn//zP/5z2xYiITEV2+/Hl33a7mS2Vcvk3mKOnBQsGGvc1NZnXRpi46cbNLGb197dpop12csnFi1f9bSQrJB3UbNq0aTzXISIy5cXKv4uKTEfiqioTlwyTHjM0m82cbQX80NBodm4aGiAUNJPAh3rboHybDjpopJFWWjVPSrKCEoVFRCYQm83MtQyFYM8e2L3bTP8uKhrF9G8ARy7MnGm2gepqob4BOrsgHAL70Be0YydMGB8+orTSHM+38eJk6DwdkUxSUCMiMgE5nXDKKeYIaufOMUz/jnG7Yd58iBSYROLmFjOYyu8fNjPZ9LeZRpAALf2/uunGj59cRlOuJTJ+FNSIiExgkYgp/542zRxJxeZIDVPUNDSbzWwB+XzQ0gxV/YMyg0ET4Awjn3xm9s+TaqaZVlrJwY4Pr5KJZcJQUCMiMsE5HKbPXqz8e98+E9REIqNMJHY4oLjEBDN19WYbKDYoc4QzLi9e3LgJEYonE+fhxINbycSScQpqRESyhM8Hy5YNJBJXV5vAZlSJxAD5LjNqIRLpP5JqHnFQJkAOOQQJ4sV7zLBM80skUxTUiIhkEZsNpk83myp796YhkRhMEOP1mgSe6mrT38bvA8/w0ZIDxzHN+5qVTCwZpaBGRCQL5ecPJBK/8445QfL5TMrMqNjtJjIKBk2eTW1tUl2JYaB5X4AAzf3N+5RMLJmgoEZEJIvFEolrawd62xQVjbIjMZjjp9JSU/JdW5d0V2IAFy5KmUWYkJKJJSMU1IiIZDmHA8rKTICzc6c5QRpTR2IAry+xK3FzsykL9/lGHE41OJm4meb+ZOI8PHiUTCzjSkGNiMgk4fWaROLi4oFE4nB4xOkIQxvclbipeSDfJhgccSvo2GTi2M6NCxdu3NjQQGRJPwU1IiKTyOCOxFVVpgS8o8P0uckdbXqLI9dkJ4dCJnmnvr8EPBQaMTs5lkwcIEArrfHgxoOHfEZ7RiZyYgpqREQmIacTyssHOhLX1prNlUhkxNOjoblcMG/eQAl4S4v5Qn7/iOdcueQyjWkECBCllSgt9NCDFx9O8ka5IJFEOtwUEZnEgkE44wxYscLkAFdVQU9PGi66aJF55OWZI6me7qTemk8+M5jOPOZTSCEHOEArrRzl6BgXJaKdGhGRSc9uNzMtIxEzJHPPHnMkNabeNna7OdMKhVIuAQfw4MZNKWHCtNCiSilJCwU1IiJThMsFixebYCY2JNPnMxsvoz6SipeAh/sDm1gJeHDYKeAANmz48OHBk1AplUsuHjwKbiRlCmpERKaYggITc9TWDpSAFxaOONNyeF7vQAl4bW3SU8AhsVKqgw6aaKKNNvLJx4NHlVKSNAU1IiJTUKy3TUGBGbWwbx+0t5vgZtRHUvES8IDpa1PdPwU8EDA9bkZaEw4iRAgQoI02GmkkSlQzpSRpCmpERKYwjweWLDHpMbt2mSMpv9/s5IyawwElJRAKQn3DwBTwUMgcV430dhwUUogfP2200UwzLbTgxasycBlW1lU/HTp0iNNPPx2bzcaOHTsyvRwRkaxns5k8m5UrTfO+vj5TJXXw4BgvnO+COXNg6VITNbW1QTQKvb1Jvd2Jk2KKKaecEko4zGGiRDnE4TEuTCarrAtqbrzxRqZPn57pZYiITDq5uTB3LlRWmn+2tprToyRjkKH5/bBwISw5FbweaGoyOzeWldTb88lnJjOZTzlFFHGAA0SJcljBjRwjq4KaX//61/z2t7/lW9/6VqaXIiIyaXm9cNppcOaZ5sSopsbk24xJTg4UFJqzroULTUDT0AAHDiR9CQ9uZjGLcuZTQAE99NBGG72MNeqSySJrcmoaGxv5zGc+w+OPP447iYQzEREZPZvNnBiFwybfd9euNEwABzNyYcYMc+G6Oqivh85O8zyJOQ42bHjx4sFDmDBNNNFOO3Yc6nEj2RHUWJbFunXr+PznP8/KlSvZu3dvUu87dOgQhw4dij/v7OwcpxWKiExOsSOpwkLTtG/fvv5Nl4IxVEnBwMiFggKzFdTcbL5YIGAa+43Ahg0/frx46aRTPW4EyPDx00033YTNZhv28eabb/LAAw/Q1dXFzTffnNL177rrLgKBQPwxa9ascfpOREQmN5/P5PtWVAxssrS3J50WM7RAwIxbOPVUU/bd3JxSvk2sx80c5jCXuThx0k47XXTRR98YFyfZxmZZY/4tOWrNzc1Eo9FhP2fu3LlceumlPPHEE9gGNXDq7e3FbrezZs0aHn744RO+90Q7NbNmzaKjowO/35+eb0JEZIo5cmSgcV9XVxoa9w2+cGOjufj+/SbgSfHCRzlKO+0000wPPThxqoHfSbT771E+vOZdLD71lLRet7Ozk0AgMOKf3xkNapJVVVWVcHRUV1fHqlWr+PnPf05FRQUzZ85M6jrJ3hQRERlZT49p3FdVZcrAxzRLarADBwbybY4eTTrfZrCjHKWNNppoYj/7ceHCjVvBzTjLdFCTFTk1paWlCc+9Xi8A8+bNSzqgERGR9Io17isuNonE9fXmBCkcHsMsKUjMt6mrM7s3Dkf/PKnkcmViDfwCBGiljRaaaaU1HtzI5JQVQY2IiExMNps5fgqFTPzxzjtm5yYSMaXhYxIImGSewv5k4qYmE0n5fElHTXnkUcw0ggRpH9Sd2IMHF+k4M5OJJCuDmtmzZ5MFp2YiIlOGw2GGdRcWwt695tHebo6kkpiMMLRYf5tgEJqaTXDT2Gga+qXQ3iO/vztxkCBRWonSQpQoHjwavTCJZGVQIyIiE5PLZYqZpk0zJeA1NeB0mp2bnLHU2zpyYfp0CIegrt6cdaUwTyomn3xmMJ0wIaL9v3rowYsXJ84xLFAmAgU1IiKSduGw2VwpKTFHUtXV5nkgMMYL57tM45zB+Tb2nP58m+T/SHPhYiYzCREm2r930023gpssp6BGRETGRU6O2VyJRExQs3u3+Wdh4Ri7EoM5fvJ6TXBTWwvNLeDKB38gpSxlD248uInEg5vW/uDGh5OxnJtJJiioERGRceV0wvz55kgqFtiACW7GVAIea20cDEJLM1TXmHlSfr9JKE6Bp/9XmDAttNBGO9104cNHnoKbrKGgRkRETgqfzwzKLCkxwU3aSsAdDigugWDIBDX19dDYYJ47UztKis2VKqAgHtx0KbjJGgpqRETkpLHZTEVUOGxij507TQl4OGyCnjHJz4fZsxPzbTo7TTJxCltCg4dmRogQJargJksoqBERkZPO4YBZs0z8UVVlSsA7OszzMefbeL1QXm7Ot2proCVqKqT8/qSb94EJbnz48OIdFNy0xROKFdxMPApqREQkY1wuWLjQdCWO5dvY7WmYAm6zmR0avx+i0YFJ4B6PCXpSOO8aHNyEidCq4GbCUlAjIiIZFwjA6aebaqndu83pkceThnwbu92cd4VCA8MyR9G8D0xw4+8Pb8JEiNJCO+0KbiYQBTUiIjIh2GymQioSMUFNWvNtcnNh5kxz8fpBzfuCwZSTiQcHN110a+dmAlFQIyIiE8rgkQuxfJv29jT1t3H1N+8rLDS7Nk1N/UdVwZSa98HxOzex4EYJxZmjoEZERCakwfk2e/aYfJvYAM0x5duA2fpZuNAcTdXWQksLOPPNsVSK8xwGBzeqlsosBTUiIjKhBQKwbBnMmAG7dpmTI5fLHEuNaZ6UzWYuEgiYoCY2LNPrTTmZGIaqljLBjToUnxwKakREZMKL7dDE+tvs2mV2bgIBkxYzJna7SeYJhcxxVG2taeIXCKScTAyJwc3gJn7ddGm21DhTUCMiIlnDbjf5voWFZmNl926TdxOJpDwZ4Xh5eYnJxA0No04mhoEmfia46aa1/5cGZ44fBTUiIpJ1nE6YN89ssOzbZx5tbSbYGUX8kWhwMnGsMzGk3Jl4sFhwY46lWmnrD248eMhnrNnPEqOgRkREspbXC6eeauZJ7dljTo7S0rwPTDLxggX9ycT9nYlzc82xVAqdiQeLDc6MEKGtf+emhx7cuHHhGuOCRUGNiIhkvXDYnBLNnDkwLDNtycSxzsStrebMq6nJ5Nr4/aPuDOjBjQc3ESK00ka0/5er/5eNsXQcnLoU1IiIyKSQkzPQvK++fmDsQiBgHmPuTFxYaPrZNDWb4KahAfw+8HhHfVkXLmbgIkKYtmOCGzduBTcpUlAjIiKTSmxYZlGRiT327BlIJvaOPv7ov3iumeUQDpugJpZQHAyOqTNgPvmUUEKIMO200UILrbTixIkbNzmMZbtp6lBQIyIik1Ismbi4eCCZuL09TZPA8/Nh9myze1NfZwKbjg5zVJU3+n40+TgpppgwYTrooJnmhODGzuhyeaYKBTUiIjKpeTyweLHZYNm71+zeWJaJR3Jz03Dx+eVQWGQqpZqbIcdmdm5SHLswWB55FFJIkGA8uGmnHQcOvHgV3AxBQY2IiEwJweBAZ+I9e8zJUW6uOZYac6VUIGAShwePXchzmtdGWSkFkEsuBRQMCm7MZHA7DnwKbo6joEZERKaMWGfiSMS0n9m922ywuN1pqpSKREz0FI2aLOWmJrOb4/ONKVPZgYMIEQIE6KKbKC100BFv8JfLWLecJgcFNSIiMuXk5JjeNgUF41QpVVRk8mua01cpBSa4CREkgJ8uumihhU466aVX86VQUCMiIlNYbi6UlppS8MGVUuGw2VwZ88VjlVKNjQMJxYGAaaIzBjnkECCAHz9ddNNKlPb++VJTuUuxghoREZnyYpVSJSUmqImNXSgoGNVMy0T5+VBWZi4WKwPv7Bz1TKnBbNjw48OPjx56aOvvU9xNd7xL8VTqdaOgRkREpJ/bDaecYjZY9u0zR1KtrWkqA/d4TOQUmynV1GReH8NMqYTLJ4xgMMFNlCj55E+ZXjcKakRERI7h98PSpaZSat8+czQFJrgZQxuagYv7fObMK1Yp5XBAMDCmMvCY2KiFMBE6aKeFFtpoI4+8Sd/rRkGNiIjIEMJhs5Eyc6bpcVNXZ+KPMQ/MjM2UCgSgNQo1tdDcYraD/P4xlmEZ+TjJZ1q8kV/LFCgHV1AjIiIyjMFl4LNmDfS4cTrNa2NoQ2OCl4JCCIbMjk1trUkqTkMZeMzgXjdddBElSiedgDmyyptEFVMKakRERJKQk2NGLhQWmnzf3btNDJKWHjcOh7l4OGxyberq0lYGHv8SOAgR6u9100UrbbTTTtckqphSUCMiIpICu93k2hQVmR2bPXtMQrHfbwqaxrS5kpdnzroKChLLwP3+NJRhGYPLwXso6A9u2uimO+ungyuoERERGYXBPW7q62HXLlMOnpYGfseWgTc0QFdXWsrAY2LdiL14KaSAdtqJ9v9yko8bV9bl3SioERERGQOn0wzsjhUz7d1rgptQyGywjEmsDLwoNjCzyUwDDwbTUIY1YKBiKkwnnfGk4mwboKmgRkREJA1cLpg/3/S4qa42peCx7sTesabF+HywYMHAtlBzs9kKCgbT0uMmxomTQgoJEaKTTqJE4zOmsiGpWEGNiIhIGrndsHChybupqhpo4BeJmI2XUYsFMbFp4HV1EG0BR27aetzEOHAQJhyvmGqjjbb+pOJYp+KJSEGNiIjIOPB6YfFik/dbXW0CnFhwM6ac35ycgWngra1QW2PKwZ3p63ET/1KDkooL+vNuWmmjhZb4kdVE6lSsoEZERGQc+f1w6qkDOzc1NQPBzZjmWtrtpr48dEyPG7fbfNE09LiJGZxUbIKbDqL9nYonUt6NghoREZGTIBg0j1mzTL5NbS1Eo2mYKxXrcROJmFyb2lpTLeX1mkcagxuAfPIpJp8CIv07N620004OOVj0pfVrpUpBjYiIyEkUCpngprTUBDd1dXD0aBqCm9xck6UciRzTwM8/xmSeE3PgoIACQoTieTc9dGb0OEpBjYiIyElmsw3MlSotNcdStbXQ12eCmzG1onE6zXZQvIFffdob+A1mx06QIAEC9NJMkGDav0ayFNSIiIhkiM1mNlbC4YFjqbo687FIZIzBjctlGujE5jo0NkJXZ38Dv/SPRLBhI598cjLYjVhBjYiISIbZbGZjJRIZ2LlJW3AzuIFfQwM0NkB7R1q7E08UCmpEREQmiNhE8IKCxJyb2I7OmGIQn888YkOrmpuhs9PMdEhjd+JMUlAjIiIywQwObsrKzOiF+vo0BTeBgMmvKZ4GtXWmHDwnJ+3diTMhu1cvIiIyiQ0OblpaTHDT0GA+NqbgxmaDYAj8AWhrM9PAW6LgsJvgJo3diU+m7Fy1iIjIFHJscBPLubEsE9yMuhQ81p04FILWKNTVmy+QmwcBf9YFN9m1WhERkSns2JybqipzLNXXl4bgpqAQQmHTEbCuFppbzAV9PtO9OAsoqBEREckyg4ObaNTMlqqthd7eMTbxs9tNInE4ZI6jamtNQrErH3zpnSs1HhTUiIiIZKmhSsGPHh3jbClH7sDohWgL1IzfXKl0UlAjIiKS5QY38SsrG+hQHI2a10bdSDg3F4pLIBwZGJo5jnOlxkpBjYiIyCQxePxCWdnAsVQ0al7zekd54by8gblSzU0moXgCBjcKakRERCYZm80EMbHZUrHgprXVvObzjfLCTifMnGWSipubBw3N9IFntBFT+iioERERmcSCQfMoK4OaGhPgDA5uRrXJkp+fODSzob6/DGu0STzpoaBGRERkCvD7YfFis3NTW2vybqqrzeuBwCiDm9jQzKIiaGqEwz0ZLf9WUCMiIjKFeL2wcCHMnGk2V/btMwGOz2d2dEZVte12w+w50HcYQrnpXnLSFNSIiIhMQR4PzJ8PM2YMBDfV1eb1UGiUGy55eZDBnGEFNSIiIlOYywVz55rgprER9uwx+b9Op6mkyqYZl1m0VBERERkvTqfJtykpMcHNvn2msMnhMMFNXl6mVzgyBTUiIiISl5tr8m1KSqCpyQQ3TU0DPXBGPYLhJFBQIyIiIsex201gM22aaSZcXW12bo4eHWOX4nGkoEZERESGlJNjKrYLC01/m5oak3MTjZpqqVE38hsHCmpERERkRLH5UpGIaU1TWzvQyC8QMI9MU1AjIiIiKYkFMaWlphy8qso8Mj0CSkGNiIiIjIrXC+XlZmJCQ4PZvcnNXO89BTUiIiIyNvn55kiqrCyzuzWjaYYsIiIicpxMHz8pqBEREZFJQUGNiIiITApZFdT86le/oqKiApfLRSgUYvXq1ZlekoiIiEwQWZMo/Itf/ILPfOYz3Hnnnbz//e/n6NGj/PWvf830skRERGSCyIqg5ujRo1x77bXcc889fPrTn46/vnjx4gyuSkRERCaSrDh+eu2116itrSUnJ4czzjiDkpISzj//fO3UiIiISFxWBDW7d+8G4Pbbb+drX/saTz75JKFQiPe97320trYO+b5Dhw7R2dmZ8BAREZHJKaNBzU033YTNZhv28eabb9LX1wfAV7/6VT72sY+xYsUKNm3ahM1m49FHHx3y+nfddReBQCD+mDVr1sn61kREROQky2hOzfXXX8+6deuG/Zy5c+dSX18PJObQOJ1O5s6dS1VV1ZDvvfnmm9mwYUP8eWdnpwIbERGRSSqjQU1hYSGFhYUjft6KFStwOp289dZb/MM//AMAR44cYe/evZSVlQ35PqfTidPpTNt6RUREZOLKiuonv9/P5z//eW677TZmzZpFWVkZ99xzDwCXXHJJhlcnIiIiE0FWBDUA99xzDw6Hg8svv5wDBw5QUVHB7373O0KhUKaXJiIiIhOAzbIsK9OLOFk6OzsJBAJ0dHTg9/szvRwRERFJQrJ/fmfNTk06xOI3lXaLiIhkj9if2yPtw0ypoKarqwtAFVAiIiJZqKuri0AgMOTHp9TxU19fH3V1dfh8Pmw2W6aXM+5iJezV1dU6bhuB7lXydK9So/uVPN2r5E21e2VZFl1dXUyfPp2cnKFb7E2pnZqcnBxmzpyZ6WWcdH6/f0r8pk8H3avk6V6lRvcrebpXyZtK92q4HZqYrBiTICIiIjISBTUiIiIyKSiomcScTie33XabuionQfcqebpXqdH9Sp7uVfJ0r05sSiUKi4iIyOSlnRoRERGZFBTUiIiIyKSgoEZEREQmBQU1IiIiMikoqJmk/vVf/5V3v/vduN1ugsHgCT+nqqqKCy64ALfbTVFRETfccANHjx49uQudIL773e8ye/Zs8vPzqaio4I9//GOml5RxL774IhdeeCHTp0/HZrPx+OOPJ3zcsixuvfVWSkpKcLlcnHvuubzzzjuZWWyG3XXXXbzrXe/C5/NRVFTE6tWreeuttxI+5+DBg6xfv55IJILX6+VjH/sYjY2NGVpx5nzve9/jtNNOizeNq6ys5Ne//nX847pPQ9u4cSM2m43rrrsu/pruVyIFNZPU4cOHueSSS7j66qtP+PHe3l4uuOACDh8+zMsvv8zDDz/MQw89xK233nqSV5p5P/3pT9mwYQO33XYbr732GsuWLWPVqlU0NTVlemkZ1dPTw7Jly/jud797wo9/85vf5P777+c//uM/2Lp1Kx6Ph1WrVnHw4MGTvNLMe+GFF1i/fj2vvvoqzzzzDEeOHOEDH/gAPT098c/5l3/5F5544gkeffRRXnjhBerq6rj44oszuOrMmDlzJhs3bmT79u386U9/4v3vfz8XXXQRf/vb3wDdp6Fs27aN73//+5x22mkJr+t+HcOSSW3Tpk1WIBA47vWnnnrKysnJsRoaGuKvfe9737P8fr916NChk7jCzDvzzDOt9evXx5/39vZa06dPt+66664MrmpiAawtW7bEn/f19VnFxcXWPffcE3+tvb3dcjqd1k9+8pMMrHBiaWpqsgDrhRdesCzL3Jvc3Fzr0UcfjX/OG2+8YQHWK6+8kqllThihUMj67//+b92nIXR1dVnl5eXWM888Y733ve+1rr32Wsuy9PvqRLRTM0W98sorLF26lGnTpsVfW7VqFZ2dnfG/MU0Fhw8fZvv27Zx77rnx13Jycjj33HN55ZVXMriyiW3Pnj00NDQk3LdAIEBFRYXuG9DR0QFAOBwGYPv27Rw5ciThfp1yyimUlpZO6fvV29vL5s2b6enpobKyUvdpCOvXr+eCCy5IuC+g31cnMqUGWsqAhoaGhIAGiD9vaGjIxJIyoqWlhd7e3hPeizfffDNDq5r4Yr9HTnTfptLvnxPp6+vjuuuu4+yzz2bJkiWAuV95eXnH5bdN1fv1+uuvU1lZycGDB/F6vWzZsoXFixezY8cO3adjbN68mddee41t27Yd9zH9vjqedmqyyE033YTNZhv2oT+IRTJr/fr1/PWvf2Xz5s2ZXsqEtXDhQnbs2MHWrVu5+uqrWbt2LX//+98zvawJp7q6mmuvvZYf/ehH5OfnZ3o5WUE7NVnk+uuvZ926dcN+zty5c5O6VnFx8XEVPrGM+eLi4lGtLxsVFBRgt9uPqxZobGycUvchVbF709jYSElJSfz1xsZGTj/99AytKvO++MUv8uSTT/Liiy8yc+bM+OvFxcUcPnyY9vb2hL9VT9XfZ3l5ecyfPx+AFStWsG3bNu677z4uu+wy3adBtm/fTlNTE8uXL4+/1tvby4svvsh3vvMdnn76ad2vY2inJosUFhZyyimnDPvIy8tL6lqVlZW8/vrrCRU+zzzzDH6/n8WLF4/XtzDh5OXlsWLFCp599tn4a319fTz77LNUVlZmcGUT25w5cyguLk64b52dnWzdunVK3jfLsvjiF7/Ili1b+N3vfsecOXMSPr5ixQpyc3MT7tdbb71FVVXVlLxfx+rr6+PQoUO6T8c455xzeP3119mxY0f8sXLlStasWRP/d92vRNqpmaSqqqpobW2lqqqK3t5eduzYAcD8+fPxer184AMfYPHixVx++eV885vfpKGhga997WusX79+yk193bBhA2vXrmXlypWceeaZfPvb36anp4dPfepTmV5aRnV3d7Nz58748z179rBjxw7C4TClpaVcd911fOMb36C8vJw5c+Zwyy23MH36dFavXp25RWfI+vXr+fGPf8z//u//4vP54vkMgUAAl8tFIBDg05/+NBs2bCAcDuP3+/nSl75EZWUlZ511VoZXf3LdfPPNnH/++ZSWltLV1cWPf/xjnn/+eZ5++mndp2P4fL54XlaMx+MhEonEX9f9Okamy69kfKxdu9YCjns899xz8c/Zu3evdf7551sul8sqKCiwrr/+euvIkSOZW3QGPfDAA1ZpaamVl5dnnXnmmdarr76a6SVl3HPPPXfC30Nr1661LMuUdd9yyy3WtGnTLKfTaZ1zzjnWW2+9ldlFZ8iJ7hNgbdq0Kf45Bw4csL7whS9YoVDIcrvd1kc/+lGrvr4+c4vOkCuvvNIqKyuz8vLyrMLCQuucc86xfvvb38Y/rvs0vMEl3Zal+3Usm2VZ1skPpURERETSSzk1IiIiMikoqBEREZFJQUGNiIiITAoKakRERGRSUFAjIiIik4KCGhEREZkUFNSIiIjIpKCgRkRG7fnnn8dms9He3g7AQw89dNzE4HRbt27dmLoWH7vmkyk2eHake3T77bef1Blat99+e3xt3/72t0/a1xVJNwU1IhPAunXrsNlsbNy4MeH1xx9/HJvNlqFVpe6yyy7j7bffztjXj93HoR6zZ8/m3e9+N/X19QQCgYyscdOmTRm9Ryfy5S9/mfr6+oQhnCLZSEGNyASRn5/P3XffTVtbW1qve/jw4bRebzgul4uioqKT9vWOdd9991FfXx9/gAkiYs+3bdtGXl4excXFGQsWg8FgRu/RiXi9XoqLi7Hb7ZleisiYKKgRmSDOPfdciouLueuuu4b9vF/84heceuqpOJ1OZs+ezb333pvw8dmzZ3PHHXdwxRVX4Pf7+exnPxs/FnryySdZuHAhbrebj3/84+zfv5+HH36Y2bNnEwqFuOaaa+jt7Y1f65FHHmHlypX4fD6Ki4v55Cc/mTDZ/VjHHj/Nnj37hDsmMdXV1Vx66aUEg0HC4TAXXXQRe/fujX+8t7eXDRs2EAwGiUQi3HjjjQw32SUQCFBcXBx/gAkiYs8LCwuHPDJL9d4cOnSIL3/5y8yYMQOPx0NFRQXPP//8cP/phrRx40amTZuGz+fj05/+NAcPHkz4+LZt2zjvvPMoKCggEAjw3ve+l9deey3+8SuvvJIPf/jDCe85cuQIRUVF/OAHPwDg5z//OUuXLsXlchGJRDj33HPp6ekZ1XpFJioFNSIThN1u58477+SBBx6gpqbmhJ+zfft2Lr30Uv7pn/6J119/ndtvv51bbrmFhx56KOHzvvWtb7Fs2TL+/Oc/c8sttwCwf/9+7r//fjZv3sxvfvMbnn/+eT760Y/y1FNP8dRTT/HII4/w/e9/n5///Ofx6xw5coQ77riDv/zlLzz++OPs3buXdevWJf09bdu2Lb5LUlNTw1lnncU//uM/xq+9atUqfD4fv//973nppZfwer188IMfjO8u3XvvvTz00EP88Ic/5A9/+AOtra1s2bIlhbuanNHcmy9+8Yu88sorbN68mf/7v//jkksu4YMf/CDvvPNOSl/7Zz/7Gbfffjt33nknf/rTnygpKeHBBx9M+Jyuri7Wrl3LH/7wB1599VXKy8v50Ic+RFdXFwBXXXUVv/nNb+K7UwBPPvkk+/fv57LLLqO+vp5PfOITXHnllbzxxhs8//zzXHzxxcMGiCJZKbPzNEXEssxU9YsuusiyLMs666yzrCuvvNKyLMvasmWLNfjH9JOf/KR13nnnJbz3hhtusBYvXhx/XlZWZq1evTrhczZt2mQB1s6dO+Ovfe5zn7PcbrfV1dUVf23VqlXW5z73uSHXuW3bNguIvyc2ybutrS3+dQKBwAnfe80111hlZWVWU1OTZVmW9cgjj1gLFy60+vr64p9z6NAhy+VyWU8//bRlWZZVUlJiffOb34x//MiRI9bMmTPj92okgLVly5aE10605lTvzb59+yy73W7V1tYmXPucc86xbr755pTWU1lZaX3hC19IeK2iosJatmzZkNfp7e21fD6f9cQTT8RfW7x4sXX33XfHn1944YXWunXrLMuyrO3bt1uAtXfv3iGvaVnm986///u/D/s5IhOZdmpEJpi7776bhx9+mDfeeOO4j73xxhucffbZCa+dffbZvPPOOwlHIytXrjzuvW63m3nz5sWfT5s2jdmzZ+P1ehNeG3y8tH37di688EJKS0vx+Xy8973vBaCqqiql7+k///M/+cEPfsAvf/lLCgsLAfjLX/7Czp078fl8eL1evF4v4XCYgwcPsmvXLjo6Oqivr6eioiJ+HYfDccLvbaxSvTevv/46vb29LFiwIL52r9fLCy+8wK5du1L62m+88UbC9whQWVmZ8LyxsZHPfOYzlJeXEwgE8Pv9dHd3J/x3uOqqq9i0aVP883/9619z5ZVXArBs2TLOOeccli5dyiWXXMJ//dd/pT13S2QicGR6ASKS6D3veQ+rVq3i5ptvTumoZzCPx3Pca7m5uQnPbTbbCV/r6+sDoKenh1WrVrFq1Sp+9KMfUVhYSFVVFatWrUop+fi5557jS1/6Ej/5yU847bTT4q93d3ezYsUKfvSjHx33nljgc7Kkem+6u7ux2+1s3779uOTawYFQuqxdu5ZoNMp9991HWVkZTqeTysrKhP8OV1xxBTfddBOvvPIKL7/8MnPmzIkf9dntdp555hlefvllfvvb3/LAAw/w1a9+la1btzJnzpy0r1ckUxTUiExAGzdu5PTTT2fhwoUJry9atIiXXnop4bWXXnqJBQsWpL1y5c033yQajbJx40ZmzZoFwJ/+9KeUrrFz504+/vGP85WvfIWLL7444WPLly/npz/9KUVFRfj9/hO+v6SkhK1bt/Ke97wHgKNHj7J9+3aWL18+iu8ofc444wx6e3tpamqKBw6jtWjRIrZu3coVV1wRf+3VV19N+JyXXnqJBx98kA996EOASbBuaWlJ+JxIJMLq1avZtGkTr7zyCp/61KcSPm6z2Tj77LM5++yzufXWWykrK2PLli1s2LBhTOsXmUh0/CQyAS1dupQ1a9Zw//33J7x+/fXX8+yzz3LHHXfw9ttv8/DDD/Od73yHL3/5y2lfQ2lpKXl5eTzwwAPs3r2bX/7yl9xxxx1Jv//AgQNceOGFnHHGGXz2s5+loaEh/gBYs2YNBQUFXHTRRfz+979nz549PP/881xzzTXxROlrr72WjRs38vjjj/Pmm2/yhS98ISNN8461YMEC1qxZwxVXXMFjjz3Gnj17+OMf/8hdd93Fr371q5Sude211/LDH/4w3r/mtttu429/+1vC55SXl/PII4/wxhtvsHXrVtasWYPL5TruWldddVX86HLt2rXx17du3RpPRK6qquKxxx6jubmZRYsWje4GiExQCmpEJqivf/3r8eOOmOXLl/Ozn/2MzZs3s2TJEm699Va+/vWvj/qYajiFhYU89NBDPProoyxevJiNGzfyrW99K+n3NzY28uabb/Lss88yffp0SkpK4g8weSwvvvgipaWlXHzxxSxatChezhzbubn++uu5/PLLWbt2LZWVlfh8Pj760Y+m/XsdjU2bNnHFFVdw/fXXs3DhQlavXs22bdsoLS1N6TqXXXYZt9xyCzfeeCMrVqxg3759XH311Qmf84Mf/IC2tjaWL1/O5ZdfzjXXXHPCXjfnnnsuJSUlrFq1iunTp8df9/v9vPjii3zoQx9iwYIFfO1rX+Pee+/l/PPPH903LzJB2SxLNX0iIieDzWZjy5YtYxrzMJzu7m5mzJjBpk2bjjvuS8bs2bO57rrruO6669K/OJGTQDs1IiIn0Sc+8Ym0jyPo6+ujqamJO+64g2AwyEc+8pGU3n/nnXfi9XpTrmoTmWi0UyMicpLs3LkTMNVI6aw62rt3L3PmzGHmzJk89NBDnHPOOSm9v7W1ldbWVsAcO2ZqLpbIWCmoERERkUlBx08iIiIyKSioERERkUlBQY2IiIhMCgpqREREZFJQUCMiIiKTgoIaERERmRQU1IiIiMikoKBGREREJgUFNSIiIjIp/D8uWLyQCF8wSgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.fit_photometry(\n", " photometry=mock_photometry_values, \n", " phase_min=-15,\n", " phase_max=45,\n", " show=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or maybe it would be useful to visualize the uncertainty as a series of different light curves, rather than an uncertainty region. We can plot multiple individual fits per filter using the `nsamples` parameter:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.fit_photometry(\n", " photometry=mock_photometry_values, \n", " phase_min=-15,\n", " phase_max=45,\n", " show=True,\n", " nsamples=10\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6. Fit photometry of a `SN` object\n", "\n", "The `SNModel` objects can also be used to produce fits to existing `SN` objects. The `SNModel.fit_photometry` method can also take a `SN` object as an argument via the `sn_to_fit` parameter. In this case, it'll default to fitting the passed-in `SN` object, rather than any optionally-provided photometry. Users have the ability to specify what filters to fit, or to use the default setting of fitting each filter for which there is photometry. For example, let's use the SN IIb template model to fit the g- and r-band photometry of a double-peaked SN IIb:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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XCOiK6X/sX5tEIpFIJB1ElxI1mzdvZtKkSb77c+bMAeC6667j1Vdf7aBRtYKag1B9ECJ7+jatW7+FwpJy7vkDfL4d8ssgPR4mDAbVBONOhNXbqrl85u98z+nVtxfP/Om2YLeUOQI8MVD5k3BpRaQdu9clkUgkEkkH0qVEzcSJE9F1vaOHcXS4qkRxPWtsUNzLui+2AHD5X83kFbt923unmrlitJvFq4Gp58O998Ipp8C2beQtWsTs6+8m+5XHgoWNNQ7q6oR7yxzlc29JJBKJRNKdkTE1x5qqPeCuEu0OAti+cw8AeWecDxs3QmUlbNzIwdPP5YmPzOhTp8GKFTBmDERHi/X776NPm8atDzzTMEPKlgquchGI7HEdoxcnkUgkEknHIUXNscRRKqoG24KL62maxrqvvoNpIYTLnLngdgsLjanex2Uywfz55O07yOovvwt+TFFE4HD1AajcLdLHJRKJRCLpxnQp91OXRtehah/o7gYF9nI25lJSWOIXLpoGOTmQnw8//ih2OuWU0Mc1tm8uLmcSJmIIyHoymUV14sqdwiUVkd4er0wikUgkkk6BFDXHCmcp1OU1sNIA5BeWiBunnALLl8PcubB3b/BO27YJy019tm0DwNqjBz+odkZotVgJsMqYo8BdA+U/gTlGxtdIJBKJpNsi3U/HipoDohFliDYG6WmG0HnuOZg9G4YN88fVfPGFcEU98gh46tWe8Xhg4UKwmBk/4mQOmSz8bLLRwNFkSxZ1cSp+FunkEklnx10NbypicVd39GgkEkkXQYqaY4GzTFQPtiaFfHjC2EzS+/QUAmXaNHj/fX9czbhx8Mor8OGHMH16UBCxMmM6fLgaXG5WvvI2aR43v6g2Dtbv7q0oogFm9X6o3tfuL1cikUgkko5AippjQW0BaHWihkwIVFXl4qsvhqoqWLCgYUDw7NlC8Hz8MWRlQWwsZGXR++uP+deNYpeDew5gRydS9/CzyU5F/Y/WZAFbPFTugLqStn+NEolEIpF0MDKmpr3R6kSxPUtc2F0qMREzcIC4Ey4g+OabYcEC7psJQ3p5C/O52bRbPNyzXy8252yipLAYPT2d6DGncToO1MBjWGKFKb9iO1hGyY7eEolEIulWSFHT3tQVg7sCIsO3cSg0mYnsYVT+bSIgeMpQmDhEbPJ4YNEKMJsV3vnb6xw6WOjb/bk+PXhw4V3cOPXM4OPY00Sad8VOiD9FuKYkEolEIukGSPdTe6J7hJVGjQgrHlzAQZOV0WNHkNq3NyxaFDYg2B5hxqxCZS1s3AkznoRVuaBpOiNTC4OaYJ6eUsgfrpvLvz5YG3wsxSRaJ1T9ArV57fGqJRKJRCKhsrKSq666iqioKNLT03nqqaeYOHEit99+e7udU4qa9sRZBs7DDaoHB3JYMVOuqCSaYN4jd8KqVTBzZnBA8MwZ8OGHuJ0aE/4Esb+FrAfhv9sUYmMjmToc3r9DNL+Mtov1ijt0pg7XueePS3DVrzas2kV8T/l2kRUlkXQyNE1j3Y+wbAOs++zzhhWzJZLjGB2o7oClpSVc58yZw/r161m5ciWffPIJOTk5bN26tZWvunlI91N7UlckUqhN1rC7FJjMmHQdFZg8/Rwef+1pnrjvCYqzsnz79E4z8/RtOtMy4dk1dn6o7k/SaeeQccowbr74Bu6dEbrY8IIZkPVgAe9/+T2XjhsevIMtSTTVLN8OiSOC+lBJJB3J8uXLmXvHrezdb2x4/kIy+vVmyZNLmTVrVoeOTSLpDNQAHVFxrAqIaua+lZWVvPbaa7z55ptMmTIFgFdeeYWePXs28cyjQ85k7YXmhNpDYIkJu0sNCkWKhVjd726aPP0cppx9GoWv/Yayg7+QHg9jh0WiRfZArT3E3HOrgJ9wm/N4dsc0AE7pE/r4p/QW69zCUqaiEFlfZ0f0gNqDUBUHsScdxYuVSNqG5cuXM3v2bKZl6iz7jfhubzsAi1bmMXv2bLKzs6WwkUi6AL/88gsul4vRo0f7tsXFxXHSSe0710hR0144S8FVCZHhWxMcUcxUYyIRf8NJk7uGE7fexIi+v+A+IZb9Q+9nW8/zQVHB4yKu6HN67niOyMqfUb5/ExB/+mMGNTz+toNiXVBSxh6TlaEeR/AOJrOw2FTuAku8iLWRSDoITdOYO+c2pmXqvH+H3/o4ZhC8f4fOzKcU5s29nRkzZqCqauMHk0i6MZEIq0lHnLezI2Nq2ou6QhEcrIT/8y00mbGgExhC3OeHR4gq/wGXNYHtWcs40muq/xgmC+U9pvDT+HfIH3gjyTFgNokMqFCxxY+uEI/3Sopnr2qjWAmhYc3RYpwVP8nKrZIOJScnh737DrJgepjerdN19uw9QE5OTscMUCLpJCgIN9CxXlqSKztgwAAsFgtff/21b1t5eTk7duxozUtuNtJS0x64a0U8jSU27C61KJQoZmICXE+xRTkkH3wfHYVfRizFEd0/9JNNZg6ddCvKWCvuvz7DB7kw/k9w3qlwen+IjYTHV8Gqb0Qfzd7pqXh0hV0mKwmau+GHbksVbRzKt0PCaTK+RtIh5OfnA027U737SSSSzktMTAzXXXcdd955J4mJiaSmpvLAAw9gMplQ2rGUiJy92gPnEXBVQVSYf2egTFGpUUwk6obryeOmz49/BqCo/7VUJY1q8jSDpt5AUuLLlFfVsnGnxsadxgOqSmqUxsgMyNd6kJk1El13cchkIU+30s/jDD6QoogO3tX7hBCLDeHLkkjamfR04aptyp3q3U8ikXRunnzySW688UamTZtGbGwsd911FwcOHMBub7/Cr9L91B7UFgprRyNqtEQxo+h+c17ioVXYq/fgtsRzaNBNzTrNZ6vXcLi0Cre1XvuFiAiKKmDzHrjtkfmoqooZiNE97DJZqQ71sZssRnzNDtHWQSI5xkyYMIGMfr1ZtFIJ7U5dqdA/ow8TJkzomAFKJJIWERMTwxtvvEF1dTX5+fn87ne/4+eff2bgwIHtdk4patoadw04isEa3vXkAopNZqIx/rl1D+m7XgSg4IT/w2NpOllP0zQemfMnIZwmTQqqa8OkSaAoWCMjOWvqZN9z4nWNCkXlF5M1dL0BS7SI3yn/QQQ5SyTHEFVVWfLkUlblwsynFDbu9BeanPmUwqpcWLzkaRkkLJF0EXJzc1m2bBm7d+9m69atXHXVVQDMmDGj3c4pRU1b4zwCWjWo4bP5KxSVKsVEtC4KisWUfIm9ei+aOYrifr9q1mm25HxNRVl5w67eY8aI+1On4nQ6+fvjf/U9RwFSPG72qVZKQgUNA9iSheus/AeRli6RHENmzZpFdnY235f0JOtBf6HJbaW9ZTq3RNIFWbx4Maeddhpnn3021dXV5OTkkJyc3G7nkzE1bU1toXDlNOJ6qlBUNBTfm5+ybxkAh3vNwGNuXmmjzV9sArc7dFdvk0lsX7WKZX99jd/e9Xvf1W0EOmU67DLZQgcNK4qoX1NzUAiz+KGitYKkcdzV8LZhYbusCpr5OUoaMmvWLGZMPZuch+PIL4P0iz9kwsRzpYVGIuliZGZmsmXLlmN6TjlbtSVe11MjBfcAChUzdl04gFRnGfFFnwFQ3O/yZp/KJ5nCdfU2tldVVJO7IfhLlaK7KTCZyQtX6dhkFsKmajdU7Wn2mCSStkJVVSYOgSuyYOJZZ0pBI5FImoUUNW2JsxS0mkZdT7UolCsqUUYqd3zBpyi6m5qYk6iLaX7W0cgJRpVGo3t3AwK2H66XAusNGt5psoUOGgbRH8oaL+rX1Bxq9rgkEolE0vboeks7L3U92uI1SlHTltQWij5PTbie6hQTEUaQcGL+fwA40vP8Fp1q5PjTiUqIh0ceCdvVOy5WOJeG1H3c4PnxukalYgofNAzC4mSyQNk2cBxu0fgkEolEcvRYLBYAampqOngk7Y/3NXpfc2uQMTVthbsaHCVNup4qFRM6Qk2aHaXEHP4KgCPpLRM1qqpy/1MPcM+v74Dp0+Hee4XLads2WLgQPlzNoAw4bIOLEtZx4MByDvfxB1kGBg2n6W5SdXfoE9mSoTYfyr4XjS8bKSgokUgkkrZFVVXi4+MpKioCIDIysl2L13UEuq5TU1NDUVER8fHxR+VulqKmrXAYridbUqO7FSsWIgwTW2zxFyi6Rk3sSTii+rX4lGfPPI+zLpjMZx9/DKtX+7abrGb6p8CWvQov/Pl8VNN/6LvtT9TGnkRN3FDffhHolAcEDYfVxvYeUJMHR76DxEwZBCuRSCTHkB49egD4hE13JT4+3vdaW4sUNW2Fo6RJ11MtChWKiQgjnia2ZAMA5SmtKya2ZuUnfPbRWrjwQrFEREBtLZ7Vq9n94Ydcc8v1jPjdHMo21xFftJYBW27jp/HvoFkTfMdI0d0cVCzsN1k5oX6lYS+KApE9RUZU2fcQfxqYI0Lv2x1oRSaTpmnk/IjI1kn7XGbrHC3mKLiy+8cQSCTNQVEU0tPTSU1NxeVyNf2ELojFYmmT/0xFPx6ijwwqKiqIi4ujvLyc2Ng2dqOUfA3OErCnht2lWDGzwRxFT48Lk+7h1E/PwuI4zM9nvEJV8hktOp2maVyUeQFFp2WKujSBad0eD8ycSdp3uazc+h+snmoGf3EZ9pr9VCRnsXP0C0GNNssVEy4UxmjVxOmehifzomtQfRAie0PCqSKYuDvSQlGzfPly5t5xK3v35/m2ZfTrzZInl8q6KhKJRNIGNHf+loHCx5CqgHiaiModWByH0dQIqhMyW3ys3A1bKNp/MHydmvnzKdx3kNwNW9Assewe+QyaGkFsyQZ6/vxM0O5xuoc6xcRuk41GJI0QQpG9hCuq7HvQ6lo87u7G8uXLmT17NsOS89j4IFT+AzY+CMOS8pg9ezbLly/v6CFKJBLJcYMUNceQw4qK1RdPsx6AyqTR6GqYejHAzyYbj0T04LLoAcyMPoE7InvzoSWWosJisUMTdWpKjP3qYk9k36kPA5C++yXi8z8J2j3V4+aAycohpYmoc5NZuKKqD8CRb0Vtnq6IuxreVMTirm7VITRNY+6c25iWqfP+HaIJY7RdrN+/Q2daJsybezuaprXx4CUSiUQSChlTc4xwAeWK6ouniS4VBfEqk8aE3F8HXrYl8aItBS0gTuegaiXHEkN6xqliw7ZtojVCfYw6NclpKb5NR3peSGHZ96TteY2Mb+ezLTKDL787QklhMclpKfQZN5odqo1Et5vI8InehrDpBbV5oHsg/pQms766Izk5Oezdd5Bl14cxlk3XyXrwADk5OUycOLFDxiiRSCTHE13OUvP888+TkZGB3W7njDPOYNOmTR09pGZRrajUeuvT6DrRR3IBqEoM7Xp60ZbMX+2paIrCJFcFT1fv54Wqffy/umLiPW7yJ06BjAxYtCh0nZpHHyWtX28ys0YGPXRw8BwqE09nxZc1zDh9Fjde9Gvu++2d3HjRr7nhtEl8/MH/2GWyNSZpBCaziK2pK4TSrSL76zgj3yhqeEqf0I+f0jt4P4lEIpG0L11K1Lz11lvMmTOHBx54gK1bt3Laaadx3nnndYk0t2pMuHQFC2Cr3ovZVY7HZKM2dnCDfXPM0bxkFxaWubUFPFGTx3h3NSO1Gm5wlPBu1W7O1apgyRJYtQpmzgzu0j1zJqxaxdyH72wYTW6y8FL+dGYvhVN7a0FxICNTinjimltYtnot+U25ocCIsektOnqXbuk2lYc1TWPdj7BsA6z77POw7qP09HQAth0IfZxtB4P3k0gkEkn70qVEzZNPPskNN9zA9ddfz5AhQ/jb3/5GZGQkL7/8ckcPrUkqFRMmRdg/vFaa6vhT0Ov1X6rExMMRYhK80nGYK5xHGhwrTvewsPYQN144AbKz4fvvISsLYmMhK4u073J5/LWnmTz9nAbP1TSNJQ88x7RMwsaBvLZgET9hpoZmFHhSFIhMBzxwZCtU7ABPmEJ+XYDly5cz8MQhTFoIVz4Pk86+kIEnZIQM+J0wYQIZ/XqzaKUS2li2UqF/Rh8mTGhdyr5EIpFIWkaXialxOp1s2bKF+fPn+7aZTCbOPvtsNm7cGPI5DocDh8Phu19RUdHu4wxHqWLGbvh0fK6nEFlPr9uSKDWZydAc3FRnBAO7a0RhP49buH3MUShqBL91lGC+cDzPzdgFOTmQn88zMS7OyBoRNt8/d8MWDh0o5N3/aywOJJ/1G3NJyRrOME9dc6SNqDzsroLyH4TlJvbELhdn481kmpaps+w3wq207QAsWikymbKzs4NStFVVZcmTS5k9ezYznoTzT4UIK9Q64aPvYPU3kJ39tKxXI5FIJMeILiNqSkpK0DSNtLS0oO1paWls37495HMeffRRHnrooWMxvEZxoFCtmLAbQcJRXktNPVFToqi8aUsE4Ja6Imy6Jrp+m2xgTwM1QggGVxk4y8GWwK8dhylRVP5tBKJaqvahauEzkrzZUE3FgXjyC9ijWknUNXrrzSz2ZI4WY63eD84yiDsJInqC0vkNgvUzmbyCz2vBmvmUwry5tzNjxowgkTJr1izmzZvHM0uXsCrXb66xWVXmzZvTvnVqdI9/QReLr86QoaADy1D5As4VsSjetcm/7gKflUQikYSjy4ia1jB//nzmzJnju19RUUGfPmFm83akRjFRpyjE6homdzX2qj0AVMcPC9pvuTUBh2JiqLuWM12VUFcsOmXHnBBs9XBVicyjmnwwR3IHkG+y8pklhgcie/JG1R4S9NBxIN5sqG0HxIRdH18cSFoydl3nZ9VGnFsjpvEKNn5MFojqIzqWH94Mkf0gZgBY45r3/A6itZlMy5cvZ/HixUzL1FkwPdC642Hx4sWMGTMmtLAJLPA3u0xUo9bd4HEZa7dYe297HOIx76JrgFfU6AHCBnwCJySGkPHeVgIEjmICTCJWymQBxSwsg4oFVKvYrpiNtWo8Zg6+berWfykSiaST02X+gZKTk1FVlcLCwqDthYWFYXtF2Gw2bDbbsRheo9RgQtMVzEBExQ4UdJy2FNy2ZN8+LuBdo33Blc5SFFc5mCMhZhBY6lW0tUSDeZBoLlm1B9VZysMoXBvdn72qjQcievJ0zYGQAVOZWSPp2SeNRSuLeP8OvUEh4kdXQq++aWRmjcSkaxw0WfhZtTNcq2n+l0VRRA8sSwzU7AdHEURnQGTfTtteoTWZTM227kw9F1XRwOP0L3UBXc+Lc4Rw0N1CrHitKwritqIYQsIEqP77GGuTV6gEWmC8eG/XEzm6V/joxm1DHOESAsrt3eYxxhRK1CpgMgQOqnHbDKpNWOzUCEMMWfziyFTvdjdrzCeRSDqWLiNqrFYrI0eO5NNPP2XmzJkAeDwePv30U26++eaOHVwTVCkmFEUHHSIrfgKgNvbkoH1yzDEcNplJ9riY4igFzQFxQxoKGi+KCSLSxeRRsZNIRzF/Nlm5LjqDDZZoXrcl8WvH4QZPU1WV2xcu4O7rbmfmUzB/upiwtx0UgmZVLrzyYC9UY4bu4XFxQLEQb7IyMFxvqHCYrBBlZEeV/yBaLERniHGbI1t2rHYmMJOpUQtWQCZTs607H/yFiWOHGhYWQ6QEvpeKSbwfpgArSFdA1w3B4w4QPy5w1gUItEAxpPiFj9eqY7KJdhtqhCGGLAHixxJwv4u8JxKJpEPpMqIGYM6cOVx33XWMGjWK0aNH8/TTT1NdXc3111/f0UNrlCOKis24UI4s/xGAmrhgUfOxVfSyuMBVgdlVJiwd9mSaxJYognIrdjKwNo87VTuPRPbkr7YUTndXMzREK4PJ08/hsdeeZumCR8h6sNi3vXevBN65rZyZA7aSs3go+WVQdc7fGDBhAj9b7MToHtL0VmQ2WWJEvI2rHMq+hapfILKP6JNljW/fOI4wfZzqN6DMmjDFyGTKC2PBUujfrxcTzhgGtQWg1ZG/S9RIatK6s+5ucAJTPgeLIebctf4dzbGd1oLVKIoixElz/0aCRJDhVnNXCFel7q4X/2MyXFle8WM1hE8EmO0Blh5zPQFkltYfieQ4pkuJmssvv5zi4mL++Mc/UlBQwPDhw/noo48aBA93JlwQFCTss9REDWDk6iEA5Jy/lS/MYuI9z1EKHk1YM5o72dsSIHYQVGxnRvVevjJH8Yk1jgcjevLPqj3Yw8RX1N+qKRb+Wz6WeXPWs9erdZ6/kZ590vj1ovuImn4OUe4aopsbXxOIoggBY4kDdyVUbIeq3WBNFG0XLPFC/ByDQFV/A0pjw/MXktGvN5dedgWLFy9m5lMK86fr9SxYOtkv/hr18AYjngXS44TAa9K6E29sON4n25aIIF3zxxV53CL7z11pbAuMH1ICYnvMwqKj2sFkWH5Um1/4+KxDluD9JRJJt6FLiRqAm2++udO7mwKpxUSdYiJR11A8TuyVOwGojB7EOsNSsCb+JxznnUo/HJzkKBFBtUZ8TbOxJUDMIJTKn7m7cjdbE05lj2rjb/YUbq8LLk64ZuUn3H3d7UzL1Hn3t/7g1lteK+LFV4qYlgnLbgoMei3i0Wtvxf3PZ4maNpnhWg3NKM0XGkURsUCWWOFic5VDab5wQ1hiwJYqHjNHGS6ZVp8pJMuzs5l92WUh07YXL36CeTdeyjsfrCHrQb/rrn+fZLJfuolZF00RFgMjGHbCxJ5k9FlqxCc1bJT+6Ero3yeVCYM7f3HIToeigqoCTcTE6brf1eUVQc5y0A+L2959xEHrxQAFuMBMdsMaZA0OgPYKn8AAad9ynItUiaQToui6Hi5NotvR3NblraLka3CWCJdKAIWKmY3mKPp4XERUbGdIzize2WLnjrdjyTvon+zM/Xoz7rGHWXJWP+FOiuzVunHU5kPFTnIie3JHzEAUXeel6n0M14S7Q9M0Lh5+NiNTCoMmYs0DA+8Qk/yKOQ0n6JlPKWwtSeOpb9cxBBdDPI7m1a9pLppD1Llx1wK64U6wC2FjiRFrn8tBDUg/DgiE9WYB6Zp/cVXAh6K5p3bWxwwcczXDUotDipCZT8G24lS2f/EqG168ULimpjzDhPFnhK01s/yDNcy+/i6mZYaOT8r+xyPMst0ndj47x+9mctfC/yY03C5pP4LcXwHfEU/gtvpWyIBUd8UccFv1W4BM1nruLzVgH2ONqd5zTcHbZEq9RNIozZ2/u5ylpqtRE/AnFVG5k+Vfw+VL65iWWUd2gJXkkZV5fHjFb1jzj4eZfPWo1p/Q3gM0FxOqdjPdmsBKWxIPRPRkWdUvRKKHLb6Xsx32lsCymxsLei2g4IuvsJ6VRSQ6/VsaONwYXleB98Lc4zQsORXgKPG5fASKoWXqTwCe4LgMgICYopwNm9h7sJhlvw33GiHrwSI2bNnFxCHGA+MyDYtBaGZdNJnsVx5n7n1PBMUn9e+bRvYrc5l1wVj4X8PnBcX0ROQ2KpwkbURLY4DAL4SCMsG8YsgJbmMbXsGkY6StifMFWol8afMB6fM+MVO/XpDZL4ZMZmPtzX4LFEz1ag0Fpuk3eZvGt3svGAIfD7pPE8+p/7hE0v5IUdPOVGLCbPyxWcp2MvcNmJYJ794G63fAB1tFzMV7t+nMWgpLH3yWs665m1ZPb4oirDweB3OOfM+mlCzyVCvP2VO5q64wbPG9/DJCbvfiDXqtKCwiRtf4UbVj1z2ktyZwuDmYrGIJV5XYG1fhS38O/HMPICAgN/+wGGuTgb2Fh6EFhrxZF01mxrmjyXl+YkPrTmBAsMHyD9Yw974n2GvE3PD8rWT0SWXJw/OYddHk5p9Y0v74hFAb4CuUGFBfyCfEdf9jHhdQF5B2H7iPcR/joZDxcopPV3nvNtzXe2EQTqzQUMwE2WbDiZmA/UKKn3oiLOgcAQIPBWHJ8h4rwLLlvR90jIBxhBVhzRB8TT4eQjw2GIekI5Giph3RgTJFxdvzOnfjVvYWw/+bBCfOwx+MC2SkwO8mwaqtheR+8QWjJk5s/YlNKkRlEK3VcV/5j9ycOJy3bYlMcVWGLb7nDWZtKui1v3k3cboHFya+VyOwajUkhSn01yQtdMFomkbOxlzyC0tIT0tmwthMVLX5X+H0tCSgOYUHk6ChFmkUVVWbZd0JdFct+21w3NLs6+8i+5XHjx9hc7y54DqTe8knmCDo4qDBNr3ec7z7BO5Hw+2+gpAE79fgvCGeGzSeUOMLNSYvSvDjDR4L3CWMyAt0a9cXXdTbx/ecQBHmta4F3q5nafM+HmS5C7MOdzvwfCFF3vGJFDXtiAOFOsWE3fjhlR4S7ZwXvEOIYFy49x3xvJKAAm+tRrVA9AmMqfiJmbX5vB+RzsMR6byRNSpk8b2sE8FmhoUrQsfULFoBdgtcovyNwr1JkHEV+YqZ79QIMrVa4lshbDRnld8FY/uSCWee2WjsirBu+JVgS60bE8acSkaf1MYDe/umMWHMqbC2xS8nJIFuplTrFubet9jXTDS4WJ+I6Zn3xyXMuPAs6YqStC8NrDIdNpLOQYNilNS7rwfv4xNkgRW9PeKPBB20gMcbHMMTcM5AQgmyAHEVJFoCLUb13JCB7ktfxW8VUR7BG+RuIsj6FSrOq9HHO+8XRoqadqROMeFUFOJ0DUVz0stegtkEF5wWelKb8SR89C0kpqY2fuDmYomEmBO4vWIHG62JHFRt/C2qR8jie6/ngMMtmjCGKsq3+hvxG9y4AyaaF2KtzUcfPIdDJivfqnYy3bXEtiDVW4iUxwNcMHeS0TuVJY80FCltZd1QVZUlD89j9vV3hS08mP3K3DYTFA3dTLcDNBHTU0jOxlwmjj+KuCqJRNIyAkVeZ5uvg9yTAbd9AqlekkSQ+zKgN1x9l304Glh/6sd+qQHCyVshXPVnhiqqKEmi2tvvPWkEKWrakVoUXIj2CLaafSjouD2wYEboSW3BDDGxtinWeKKj+nFvxc/cmnAq/7YmMuXi6TwGLL13IVkPBqcb//P3cN87kPWgf1v/FPjnjXD1X+GHiPOZyEf0+OVlrHUFKKcu5KAlim/VCE7TmidsvCJl6vBgkfLIioYiRdM05t7vt27oiKDm/DK4/Xzx+2zMulE/IHfGhWc1HtjrFUfnb27R2xzuNQYKsSc/hAfebU5MT8lRnbur0Giw9PHmmpJIwhEuXrC90EMJIS1AJHmFU21AIL0e8DxESQ4parofdYrJJ/rtVbspKhe3m5rUSovauK6JPZUsrY6LavL5IDKdP0Wk8+b0cxk9dQoTvyuG/Hxu2fsdzy74Myekwq4n/cIhPR4mDIZNu8WhXNs/Ylk+9Ig3cabnQwZX78M84mkO2FOI/WiE2KmRSUjTNP4wbyFThwe7ucYMgpVzYPoSuOnOhT6RkrMxl70Hilj2f/D+Fpj7RnAsUs94OFQW2rrRWEDurk3vhA7sbS3mCJ8Qqi/EvK/xzMFi3Zxmot0dGSwtkXRSjjb2q/pg0/u0I50kaq17Epj5FFG5OygYNxTeSS05oL9Qm6AoENmbOe4qUjQH+1UbL9hTgnYZMPRE0nunsmilggJMHAJXZIm1Atz6GtgsJu74F1z5PExe6GHgHIWP//cDQ7+4lBOL1/uOdbiR3kXr1m+hsKSce8NYq+6dCQXF5axbvwXwWy12F8HspTCsD2x8ECr/IdYj+4vnrvjPZ0HH8lpKhqUWB+0/LEVYg1Z89IX/NY7LbNMYFq8QWzA9+DVOGCwCwheuMFzvAQTF9IzNbLOxdEaa+myWf7Cmo4cokUi6KFLUtCMViorVCPyyV+9lwmDokx7NopVKmElNoVdGHzInTGj7wZhUYqL6cW+NCEL+16p1zBxxAUyaBFdeyR0zfkON08MHW3VmPgUbd0JlrVif8UfYvAfOOcUTPAn10Zm9FFZuKGPApptY9yMs2wCvbvyBg57Qjul1Xwix0pS1yruf12px15v4LB9jBkG03YhFmgNTh8Pb732Epolg5fqWkqD97xDHmffAM2it6PbQHLxCrP5rVE2w5CoRnzR9SfB7PPMp4Xpc/Ke2i+npjDTrs/njEpxOp+/7tG59ru+zlUgkksaQoqadcBqZTzbDUmOr2Y9qgnvmX86qXJj+JDz/X3h5nVjPeFJMarctebr9JjXVynh7KiPeeg390kspO3U4bNwIlZWwcSPlZ4wFReGLfXFkPQixvxWxNd/nmZiWKdxFDSchhRtftTLoDpi0UFhx5s24gdNHTOUvqz/H4yiFj0aJxVGKN7q/KWuVd78JYzNJS4nnUBkNLB/gt+4cKjxCzkYRkBTOUuLdf/502HOgiJztR/2OhsQrxEK9xlmnw8JL4ePvCHqPt5WkHRfp3M36bPYXkjHyEt/3adKsWxk48iJpwZFIJE0iRU07UYeCQ1F8lhpb9X4AJs6cxtU3X89/frRy82vwfy/Bza/Bhz9auXrePCbPmtWu49JMNg7c/UeYNg3efx/GjIHoaLF+/32YNg1rdAx/ef9lHvn7E9yx6G4cTk9Yd9HYgTrFZU5OqecWOj2lgJuvm8szH34V9JyJ40ZhNoV3wSxaAWaT2A9ExtIVl1wAND/ANpylpMH+ZY2/V61lwthMI3U89GvcuAt690zhfwvgzZtg7fJn2Ll5ZbcXNND0Z/NLoViP7FUmXVMSiaTFSFHTTtQpJlwoWNBRXeWYXSJK+MM1O/nnc6/gOfe8ICuJ59zz+OfixaxZvrxdx5Wbk0Pxvv2wYEGYS+X5FO47iEk1cf7sqSSlCqtDqElI88ALa2jEiqOz+IElQW6eieNHkpAQy+pcmPlkPRfMk7A6FxIT45g4fqTvOTMuOAto2rrjtZA0ZikJ2j8+/Pt0NHhTx1fl0sCV53UzLfnTbUwZ2j4xPZ2Zxj4bzQN3LWvs+yRcU9IVJZFIwiFFTTvhMIoTKYCtWvyD15qTeeKPzzRqJVkyb167/mn7CvudckroHYzt3nYKgRWI65OzHfaVwL0zhLPIFwPxo7g/fzrk5ZVx22twy6tw70srqNU8/G3JfejA2p+CXTDrfhLP++vie4Mmea/lozHrTmCAbVOWEn/37Oa+ay3H2xPq+6KU0G6mqWe138k7MY19Np/9BIfKCGsV9LqmvG5GiUQiqY8UNe1ELf50bluNcD2t3ZNA0f6DjVtJ9uwhNyen3cbly6zati30DsZ2r5g59Yzh2CymkIIi74hY7y6CgXP8MTWTFor7C98XrqTn/wfPfQKLHnie5L7j+N+WH3jn1cdJSkoMOl5SSirvvtowrkRVVS6dcR6rckXsUaDlwxuLNHv6uT4h1BxLyeKHbkVt52//rIsms2vTO6y9txu5mdy1/hipEH2tmqKxz+bON8U+rarjc5Tjkkgk3QMpatqJSsWERQ+OpzlYHScebMpK0hZtEsKQOWECqRkZsGhRGDPGo6T1601mlnD/fPfVNzhcHl+l4cBJ6PlPxNOu+WvDVGtVEVk+558WvP2cUzz89dnX+Cjnv2z8/EWeuhpuPgeeeuA3/Lzp/ZATvqZpvLPiY0b1FxajQMvHDwdhVH/IXvnfIAtXZ7GUeHtCHW9upsbwfzbJQZ/NoZoEoPluxjZBiiGJpFshi++1AzpQGdDI0mupSejVF9gsrCFjxjR8otdK0tZ1agJQVZV5S5Zw1+zZMHMmzJ8vxNS2bULorFpF4e2389WGrZyRNcLnhgpVabhfEljNcO6w4CJzI/rDwVJ/bERggb0Vc4R15fVX/8cnK9ew31tI75OXWfryqpDF13wF+B6E008IXRgwVHuBlnbP7vToOmi14K4Wi1YD7hrQjPvuGmN7naj46XGC7vLf9gTc1j31D97wfCazKH2uGGuThaAa8r+8DJY4MEeCGimqiJojQTXW5iiwxBrPC2bWRZOZMWUYOX+7QHw2k54ga9w4Tho9s+neXCHq+DRanVjSZtTrfhSwTal3P/Dx4Md8+yj+x+s/FrhueFsJuT3U/dZSvyCFEnRbb7A9/Frsq+jBjymBjzVY9BDbJM1Fipp2wIGCE8XXyNJrqRk+bgypfTdRtGiRiKFp8K/9KGn9+7dPnZoAJs+axePZ2Twxdy7FWVn+B2w2sX76aW59GlL79ubiq2YChKw0rOlw9qKGMRB/+UT0kQoXG5E1SLiATu3t4a2bQvVyeoxZF03xPScwY0Y14e+GbdCYWyJs9+yACsAdTtVuIUScR8BZCs4y43a9xVUBLeiv1e788kqzdvOoUejWOHRrPLol3ljHoZusvs+meqgdp3aER/40h2t+M5+ZT+khenMpvPnKPNyqGTf+P/r3P1jD3UF9xER14sfDVCeuP0F4v6L1eko3oKlJNtykHG5y991W/I81FAZKvfvBIiL4GMHbA/f1dg3yBCy6MX16lMDtivFeKEH7B46xwfhDjDHUexM41vrvY2OCpv6x6rd9DNcGsqUCxzusxo4deF+pd4amBA74xU0D0ROwb3jBo6PooCK+syZ0YzHu66Di8d1XjX2MTk6+Y5iMMdR/zHssBTDpeujtAefrrEhR0w44FAWXohBrdK62G5Yad0wG8x65k7uuux2mT4d77/VbSRYuhA8/ZG529jG5wpw8axajZ8xgYk4OrFgBS5fCueeKeB9jTEWLFvHCn58nISmORSsreP8OPUhQvGEUEa4fA7G7MPR2aJgxFapT9dy75nNe7/OxJmdiSTiN9NQkoAu0F/C4wVUeLETqCv2Pf3cfuCqFcHGU+rd/+esWnUbHhGaOQjNH4TZH4TZH4w68r9rxmGx4TFY0kxWPyWKs/fc9vqrPAVe9AZ13FV1H0V2YPN7FicnjQtVqOGnXCwDs7TMb1ePE7K4OXrRqzO4qzO4a8SeqVUNtNdQeCnodmgfWeUXyj7cwYTBcZQXz3Gjufr2OrAfdvn1794rjz89dTe9zTuVzxQqqFYAvVv6Xh6+/i6mZelAfsYUri7n8+rv54+tLmTD93LBXurqmoxoWnsLonxg6YVyD319jk2NzrAz19wuc3FV3Def/ZzgAH17wDW5zZFirBIhJEXT/9hAvLHCTHrhNrzdB1ts/2Cqg17sfPBErun9iazgxNzx24PHFOPSQjzdnW2eiOaKsKYuVdx3S2qX4haaOEiBewfsuesUnAcLWez/wuxIk0AK+GN7t3s/NJ4B07+3A7cHCxwyo6JjRMRuiymyOoi8Q2Yz3rz2QoqYdcOBN5waTuwaLQ1gQHFF9gHzQdexrPqZu9Wrfc+yRZuqa6p7axkSrKl9NmMBF119PkTcjy2QCTYO6Orj8cigpQdu901dpOPDq2RtTU19snJAWejv4M6b+fXNjnao9fL32QyYO+RCAcUoEGakWFq10tdgt0Wq8rh5nGbjKgte+20d8VhXdsKTUv3oLouizhqdBwWWJw2lLxGFNxGFLEmvjttOaiMOWiNOSiNuagGaJBpMdk6KgoKMSPMkEXoGFm8DCmbTr39cBzVi8mNw1YIiaI0PuwWMO/9el6x5UdyWq8whmZzlm5xHMrjJU5xH++3Eujzz9BfsL63z7Z6SIisuXn17F7NPquxnLUU3Pw7rn0VFw2lKotvXkt3duZ1qm3qDr/Yo7dGY8pfDSvYsYf+EUTAFCxWspyFn5X15Y8Aj53hie539Hep8e/L9FC4QQ0oPfl9DvV7ir9fATu3et6Domj1+4pXrceDzusJ9PSI7tX4akHi0TXU19WCEeP5rPtznP1YNvBvQB91nrGtw2hJZLUajFL8Y8hqhymWNIRJGipjvhCLjitdWIf0y3JRanKZqn713EtBGw/DY363f4/7THnejmkqUKS+fezlkzZjS4WqwBahETVwTQVv1Pc3NyKNq7F5YtE7PC8uUwdy7s3evbp8Js5pxZF7B10+agztY9+6SRlOxg0cpy3r9D900qfzgH7vm3KLAXaI0Bf8ZUUxkuP9jO5rTECmLLvsXiqWXJlaL308wnYf6M+m4JeGe+FTX3DhHjodpFHIfJEvzD3vk30QdL10B3C8tKg9iUGnR3DbgrUTzOZr+PftO1gtMaL8RIoDjxChNbIm6rIVBsCXjM8agm1TAXe0WKH+/nHdweVOuwycwUEItkctc2KmoUxYTHEofHEocryr99zcpPuHvBYqZl6rz1+0D3o8LspTpP/e0upp7Zm4mmWwEo6j2bKkcR1to8rLWHULVabI4iNuYWsb8A3roxTNf76TpZDxZQvOIpMidNpi4qA80aD7oYw0PX3c60TJ0F/xc4hkIeuvY2HnvtaSZPP6ct37qQBA67/mcvkRxLFMR30E8Yh2sT/z0d285Sipp2oQ6T74rdapjcHRG9yd2whUMHCnn3/8BipkFsyPzpOlkPHiA3J4dREycC4AIKECImGqGkK4AiIJmjN/EF1a1Zvhxmz4apU+HOOyEiAmprYfVqPnnvPzzx4kOM2vtH8sugevIznDpxEp+tXsPd193OjCfh/FMhwgq1TuiViC8Fe0GACHnuv+J0TbmSzJlX88vY0eBxYa/ex7DMnfyu5HVefetbPsj172+zwLypcMnQA1ASJm3Gy743mvWeBE4smsmG05qAw5qA07ck4rQm4LLGBwiUJDyWBDzWOMyKyef3DoVKY38e3RtN04SwD2Fdef8OnZlPKTyx8HXGzVzhe07e0ACLkK5jdh7BWpvHN/kfAP9qUiCz5e8Mtv0dALcljuqIAcy6K7SFxzuGpfc9yllTJ8tgY4mkiyFFTTtQpZgwG/OUtVaIBmdET0r2CitHU3/CXqHhAvKA/sBAIBYx/VUg1PAvQDWQ0uBIzceXafXtt8JCM3KkiPFZtcq/U0YGjBjB4kde4I0rxSbdiGmYPP0crr75et7+26usyvWHWtqsJoZkDuGTbT8GbbdaFGJjI1i0sjbIugMBTT37pvlSyjFZqIsZyIdr9/DiG98xdThccCpE2KDWAf/5DhavhvRzb+Dcyf1RneWYtDrwxoO4axhgiJlf+l2FZrYLD7DJjK6YfbEpHnMUHnOkWKvReMzReGwJKGoEphAWlEA6e+BcZyJQ2Id2PwrrypZNP6FM/bHhARRFWLtsiUScVAv8q0mBHNv3ZJz2I1jrCjC7ysn9NrdRC493DN/lfE7mxElt8rolEsmxQYqadqASk6/nk9dS44xID6rOGyo12fsnnJyejg7kAxnAMMCbFKsAcQiBkwj8CBwC0mmd6dpbt6bozjuFy2nfPlHxeNmyhqneus7ZjxpPfP5GevZJY8rMqfzruVeEGX96YKCmzurcH/jz3x7AmvMguwvBPv4WZv3+//jio8+4+7rbG8ToPLpSYVUuPPba/KAr5HBX9wA3ng0zn1JYsvgDxl31SYMra5O7xmehKR98R6PuEu/7G2xJOX6sKM1B0zTWGYG11fZcTp04qUXWDG+JgCaFfWFx6B0CyMwaSc8+aUYKeHiBnPLbt/leVVG0WuzV+/gmLxt4s8kxRH1yE6d4elETezI1cSdTa6xdtlThxpRIJJ0OKWraGBfgVExYda+o8VtqMrNGEte3Jze9doiiajMHiwKyO1LN9Ihy0yujD5kTJlCKEC6D8QuaQBSEkLED3yGETU9aLmx8dWsuuQTMZrjgguB0c28Lh5kz4T//4YHpbuZNNYTLikKWPf8yU4cTMlBz5lMKzz7yF/YuEqnY3065DLfVyuTp5/DYa0+z9N6FZD1Y5BtLr75pPPba/AaxDM29us/dsIVRE0a38B2QNJc1Kz9h6YJHyAtIne7ZJ43bFy5odvxJoLBvzLri3a8xVFXl9oULmi2QdTWC2tjBRJx8LvBm09l08WCrzcNWm0dC4f98j7usidTEnkxt3MlC8MSejCOqLyjSXieRdDTyV9jGeDOfzCEsNaqqEjt7Nlv3wMHR5wc1tDw4+jw274HJl/4KVJUqYBAQFf5UACQApyEEUEErxzx51iymXncduN2NtnDA7SYmwt9k8I4LwO1prFePzsEDReRsF9s8Zn+46+Tp5/D+5g98LQRefP9vLM/9JOTkeDRX9x5zJFum/siWqT82aaWRhGfNyk+4+7rbGZFaHFQhemRKEXdfdztrVn7SrOP4rStKmL5cCr369vC7H5vAK5C3FqcGVSfeWpIWNti3OWPo3SfN1xvs4Em3cbjnNGqjT0BHweIsJa5kPT12/50BuXM55bMLOe2/Yxn01f/Rc/vTxBV8irmuaUuTRCJpe6Slpo1xKApOhRCWmnQ0TSN/+Qrh3lmxItgasmIlzJjBf7Oz+dWjj5KkqjS3rnA8wkW1FShBBBC3lNRevcSNJlo4lFb6NxWWGw81ITbW93+CmKlTGzweWBgvd/woPMYVtcldQ+bHojJw7nmb2/TqXtJymhPc29zA2pZaV5rD5OnnMOm8MVQ9cwb5ZVB1zt84LUS9mZaM4fFX5qKa7gKgOOManyBWHaUM/994sb33LCKrdhJRsQOzu5LYko3Elmz0ncdp70F1/DCxxA2jJm4oHkt0g/fW686ritrc6Lgl3Y/6/3XywuvokaKmjXGioOuKqBnicWJxiCs2Z0RPcjdswb13Hyz7d5gc1AUUZmWxOSeHaydODOl2CkcScApC2FQCMS0ct+IdTxMtHAKHnR5vPNRKsREuPbj+9ubGTjT36l7SMtra/ddS92PQ+cJMAhbd6RPI344ZirsJYdDUGKZcOA4+bvg8XfUXUzg4dIE4v8dFROUuosq/J6rseyLLvieichfWugKsBQUkFAgrlo5CXfQAIXISMnnvy1oW/+nlAHfejS1250kkkmCkqGljHIrJV6LRUleIgo7HZMNtTWRf0SaxUxPWkJr8/FZlNKUjYnC+A6yArQXPHTVxIi//+c+isnGgFQmEcli0CMxmJp7sjwOaMBh6xsMj78PKuaGK4jUuNgLdUYG369MeV/eS5tOWwb1eWmpdaYrmfpeaPQZ3TfNPbrJQGydibEr6XiY2uauJLP+JqLLviDTEjq32EBFVu4mo2s3n773PnKWisnb2b4Pr5Nx93e3HrE6ORNLdkKKmjalD8VUiDXQ9oSh4vOnTTVhDBqanNxlLE47+CEvNL0Afmh80NXLiRGITEqhYvbpho8tHH4XVq0mKVYJq6yhAzwTRjXvGU4jsp3YSG0dzdS85OpqdtddC91849+OxJNwYjtYt5DFHUZU0iqokf4NVs6OEqLJt2Eu2MmfO60zLdIZw58HMp3Seu3s+M0a4qUseicue2lYvVyLp9khR08ZUKqHTuQGixo8TNV8aaWiZ1L8/5x1FQ0sTwlpTBRRCs+NyVFXlvr/9TWRBrV0LH3zgfzAmBnSdjESdjTuhoga+3gMffQeb98A18+ay5q03yHrQH6rsFRtnXziOzNVi1jhan3FbX91LmofX/XfLa4WUVMLegL6hGcmQHEOLgns7E95A8kDWrPyEpfcuJM/XPsHvFpp03piwYqep+Ai3LZnytIl8uiOSfYV/59+/b6xVSA2Hls1l4hBwRPSiKnEklUmnU5l4Os7IPjKlXCIJQ5cRNQsXLmT16tV88803WK1WysrKOnpIDdCBGsWEhYbp3ACHLHZYskRU7Z05A+YvCLaGrFrF77OzSTrKSdoOnAxsBsoQgcTNYfKsWTz+7rs8NmcOh6uqfNtTk5I478YbWfXKP5iwqEJkSRnEpaUxbGwWNzzyR87cuBXy83nWcpDR489AtSeJ7tMtpLFaKJ3h6v54Q1VVpsycyj+ffZlpmbDs5oB6RCtE5ehrbrmw04rLlgRjerO8pmXqZAe1TyjirmtvIyk5jsNeUdfKGJjmuvP2OnqiUyDSyvPySMpbCYDTnkZl4iiqDJHjiMqQIkciMegyKd1Op5NLL72U3//+9x09lLC4UHBhwhIi8wkgz2SFWbM4941/kPLtFsjKgthYyMoibds2FmRnM33WrDZpBJYEnIioPtz8DkZC2Pxr925hrXnzTZ5Yu5YPdu1i2JgxHDl8BM4PTkUvHz2au2bPJmflKpg4Ea64ghHnXYZqiYLaQnBVNXnOQNas/ISLRs9m0kK48nm44ZJbmXnaFF/KsEzRPvZomsan76/2dVYfM8if1r9ijogLWbPiQzRNa/pg7TjGdT/Csg2w+YvNrRpL/SyvwNd57XjRoHJsn/KjSmmHYHdeKLzuPMdZi/jm3C/ZMfol8gf+P6oSRuBRzFjrCkk6tJp+3z/IKZ9N5dRPz6L/1rkk7/s39spdohmrpEvQFt9bSTBdxlLz0EMPAfDqq6927EAawamIGjURovE7Nq/7ye4VNSKf6cyLprBg4glM/NkD+fk8k57OGRMmkKeqtKX3vC/CUrMXEV/T3Gu5aFUVAgUYA6BpLJ47V6SihynMt/Tue2HW5aCqEJEMkT2hrhAqd/sPXO/Ptn7cQmlZLff8+g6i63XrrCwRV8mPv75Uxs50AE1lPy2YwTErfhgq1uWz1WvCuotakkm1eeO2kK9T88Cdy4R4e39O+JT2SeetCHGWhrQkm8+jqlSmjKMyZRwAilZL9JFviS79mpjDm4kq+xaLo4TE/P+QmP8fQBQHrEocJdxVSWOoix4gLTmdkMbcnPJ/rvV0GVHTGhwOBw6Hw3e/oqKiXc/nxIQroEaNpVbEmARZaoDeWg2q2QYTzwAgE+G6MtPyVOzGUBHWmjJE/ZrmhnFGIFxXXjbX7+QdiFGYrygrC3JyYOJEPGYjzDmqt+iY7aWuUIzCHM2aD/7X4AdtVhUUYNLJRhNMr+nfcHH8ec4DsslgB9Ae2U+tIdQkkJAUR1lpucgiqucu8mYRnX3huGYdP9zrzNkOe4th2U1NpLRvzGUUTXM02Xy6GkFl8hgqk8eQDyiag6iy74gp/Zrow18TfeRbLM5SEgr+S0KB6B7rtKVSmTyGiuQxVCaNwRXRo1nvh6T9aMzNKbPfjo5uLWoeffRRn4XnWOBU/DVqAKwOkaXjtKfhRKFIEW93L3cNmILf+hpEx+22FDUgKhIPBr4GahGCpTFM7moy3xYFwnIvq8Jjjgru5B0K73bvfoEEptdGnwCuCta8+w533/Bg0ET06jq44w099NXwHNHt+6Nvy9iS8zWjJ4bIHJO0G+1V/DBUkG44Qk0C3+6D8x8vD9mmozUWlHCvM79MrJsSdUX5Raw72LyMqbbK5tNVG1VJp1OVdDoMErWxIsu2EXN4EzGHNxF9ZCtWRxFJeSt9MTl1URlUJAlhVJk0Gs0a36xzSdqGtixmKWlIh8bU3HPPPSiK0uiyffv2Vh9//vz5lJeX+5YDB8I4sdsIp2JCN6y8Jnc1qlvEk7jsqRSazOiKgl33EO9xEGGyshlhEYlAiJoEQvd5Olp6ACcARYCniX1DkRyYih4K7/b0JnKtovugxQ7l6T+9IMRLQNxCYaVoubAgTMuFBTPE45u/2NSKVyA5Gtq6tUFLCRfr4tKgqq7xNh15+4UFpTmEe52BRSZD4RV1Sx940hcL9ruZN3Lx8LMbjbVpSauQ5qKbrFQnjqBg0I3sHPOyiMk54x/kn3AD1fHD0DFhr95L6v5/c8LW2zntk3EM/uJSev20hJji9ShabdMnkRwVXnfugulNfG83bOmYAXZxOtRSM3fuXH796183us+AAQNafXybzYbN1pISdEeHAxOKkflkMXq/aOYoPOYoChUhV9I8LhTdHeyWQQTzJrbTuBRgIHAEIWxaanz2dfJuJBWd/v3BSEVvzCKUu/FrDu3P593fNPxBQ9NXwzIy4NjT0cUPw8X0NNeCUlJYAtGh9wkk3Os0q0JEhSsyeetr4vaY3mUs+ENDV8LjrzzGPItouVA/+6q9s/l01U5l8lgqk8dyCFBdFUQf/prYko3EHP6SiKpfiCr/gajyH+jxyz/wmCxUxw+nInksFSnjqYkbIht1tjGdxZ3bXelQUZOSkkJKSvfp11OjmDAbsbCWukIAXDYR+ltgBAn38LjAowWJGg/CZNbagnvNwQacBGxC1LBpxn+8D18n79mzQxfmW7WKM7Oz+dz4Q34duA0hQIICO9M+p6igFGj4g544REwaTbk4Rsou3B2Cz12y4BGyHvT/2R6L4ofhJoHmt+lIhurmnSucWygxOZ4Pvy1rIOoWrYBv9uGzPIZ0Jdy/hDuMTvUdjWaJpbzHFMp7TAHAUldETMmXxBz+ktiSL7HWFRBT+jUxpV/Ta8czuC3xVKRkUZE8joqUcbIQYBsge9m1L10mpmb//v2Ulpayf/9+NE3jm2++AWDgwIFER7dkim4/qhWzvzu3L57GK2rEW52muwE9KKamDlFbpj1FDYhA4YHAD8b5WvLhT541i8ezs3li7lyKs7J829P692dudjanzJjB5+vWQX4+/0pPp27CBEatWMGzd9xK3n5j5+cvJClNtNus/4OeeDKkxYW/Gl74PiSnxDNy/OmteOWStmDy9HOYMuU0Kv4yUdQQmvxMUA2h9iLcJDBhMGSkiFo5K+aEMCB6s4jGZsL/mn++cEUevVlWgWInOTUBt+dIoy6wrAcLydlOUDXuzoLLnkpp7+mU9p4Ouo6tZh8xJV8SW7ye2MNfYnaVkXjoQxIPfQhATcyJVCRnUZEynqrEkejqsbOEdxdkL7v2pcuImj/+8Y+89tprvvuZmZkArF27lolG+nFHogF1+AvvWerEH5/3yqYw0FIDoPijZ+oQ7prmdaw5OgYApYhqw71CPF7fsnLaxHN9k9bkWbMYPWMGE3NyglLRP1uxgmsHDoS9e33HyU5LI7uwkItGQPZvAou1lfBRMSxcCSsCrmxVEzx3HVz6DExfAvfO9F8NL1wBH34Lj/19DqqjGFQzmOygWsHIKJMY6DroGiKfzgN6vSVou/d2QKq9ooj73rX/AUBHdZf5G0eO6oXb2YiJXFHE6TCOh0msFVUcT1GNxRR8ux7hJgHVBE9cAZc9A9OfFLE1odxiQItbHoRyC4USOwVF5fzxd3c36Urwuso6NYqCIyoDR1QGJf1+BR4X0WXfElu8gdji9USWbyOycgeRlTvosedVPCY7lUmjfFacuugTZOp4M+hod253p8uImldffbVT16hxoeBSFCL1+qImDSAgpsYpfvimYFGTxrGJF7EgsqEqgHIgLuCxNcuXs7SeZaVnv97c/uRSJs+aBYAzoIbNYOCz5cuFW2raNJHy7XVLPfIIrF7NteP9V9feYm1n/BFWbYUZTyksmK77ftCvfyEmzi/zEsh68IhvXL369eaxt5cwefq5oNWCsxxcleCqAI9R3dhkFgLHZAXF3CC7rMvhEyFaPWGi4RclWggBohgiIUA8oIJJMd4bC2AS3z+TyXjMHCw6RI9541gE3FbwuP1+HE/S6WCOCji3LhbdWBMgnDwa6G6x9jhBdxn33cZ+bv/r8aKIsamKmdsfnsfd19/VoMfY618o6Oh8eSCWrAf9JRu8bjGAmaMuClkLpLmp3oHUFzubNoog+aZcCV5XWZfCZKEqcRRViaM4dNKtqM4jxJZsFFac4vVYHUXEFX9BXPEX8BM47T0MK844KpLHyqyqRpC97NqPLv7P33lwKgpuXfG9oVYjpsZpE6Zzb0xNmlZnTCL+t14jWFy0NwnAIOBbRBq5BSFo7p49W6TM/iYw2DGPu2fP5rHsbJ+w8Y27saJ8K1fCjOnMeetjLj7d7YsnMJngmesg60H4Ki+JrAf9jYR6ZfTm8XefZsp5Y6l4tKdwcUxfzqlTpgdctcRDRLqYDLU6sXjqROVid7W475ss8U/uitmYJA2LAGrAxN8OhLSM1LOY6O7Q1hKvmPBZLkz+26oNFGuAiAt8PcY+Ju/9gOcpattcRQe6G2yJQtS0Fl33Cx2vqPG4/YJHqwN3LXgcTL5wHI/94088/celwd+ZPqk8/uo8ppw9koq/Tg5yi322ek2jtUAef+UxMo8y3bA5roTefVKZMLjw6E7UCdCsCRzpeSFHel4Iuo69apdP4MSUbsZaV0DyweUkH1yOjonq+FMpTz2T8tQzqY0dLAOO6yF72bUPbSpqdF1HOU7Njy4U3AF9nywOYZb3u5/EW91Dq0NcHYt/U+9UdixcT4H0BQ4Dh4B0TePpObc1Xjdh7u2cNWMGEQE/uJ1NFeVbcC8HslY3iCfwmuRve/zPjNvxW/GDvvhDn6tLrSvyuzjOHIc71I/cZAZTNFgC4ql0HTSHmBQ1J+hOsdYc4KkVFgLNDTgMq4BXYNRHWIz8FhDvdzpc+Xml4WOKyW8xwTt+r8XEZliTLIbArSdOTAECRTHXc890o9+XogjLkakJZaHr4HEy+ephjLnkGs7cukf0GIusZPTYU1EVHbWuwP+dOWMADndNk7VAnr5vMZnXQlF56zpxQ/NcCY+/MhfVdFcr3qBOjKJQFzOIuphBFA34NYpWR0zpZp/IiajaRXTZN0SXfUOvHc/gsiVTnjKB8tQzqUjOwmNp64pcXRPZy67tabGoeeKJJ7jzzjsbbNc0jauvvpply5a1ycC6Gk5M6Gi+6c+X/WRPowoT1YZFoIe71piQzcbzwMqxFzVmRDZUOfB5Tg6H9h3k3esbC3Y8QG5ODkMD4pcON7MoX/14Aq9JPrVXTyYa38Dcs870/aA9AVf/npZYAhQFzHbAHrrgj+4Jtgro9Vw7eBcCXCj1hYziXyuGW4bAeBHDdeMVNZhoF4vJ8YSiCAuRakNVFJjYD4AR7mpUNUKI1pqD/v3VKHI3bG60tcPYgTr/+aaIsxcZG5tZoj5UwcCmXAlTLhwHHzf/eF0RXbVTkTKeipTxAFhq84kr/oLYos+JLdmAxVFC8sH3SD74Hrpipioh02fFqYseKH8TkjajVaImMTGR//u///Nt0zSNX/3qV2wLV5ztOMDpC4oEdN0fU2NL8bme4jxu7LoL1EifKdaBSLc+1qIGIBYhbP5jiJMm6ybUqxicFFiUb0yIKr/G9yEwnsDjgYUrFVIyepM5fhy82/rxtxjFZOTVtkeJQ0mHoJhE1WprgAM3fggl1SKIJtR3evnXcO87MHW4EVwcpkR9S8RGo64Ed83RvcYuiCsinZK+l1LS91IUzUn0kS3EFX1ObFEOEdW/+NLGe29fgtPeg/LUCZSnnEll8piWXchIJPVosahZvXo15557LnFxccyePRu3281ll13G9u3bWbt2bXuMsUvgRPFdw6uuMky6iOlw2VOC07l1t8jcMXAgYlw6KripF3CyIU6arJtQr2LwqU0V5Vu4EHukGbPqprLWyGRaqbA6F8h+mkWWCP5hiSfBVdYeL01yHJPcS6iZ+t9pzQNz34BpwxtvTtmaEvXSlRAaXbX6CgAy5G6sNQeIK8ohruhzYg5/hbWugJT975Cy/x08RnByeYqw4jiiMqQVR9IiWjyXnn766bz77rvMnDkTq9XKP/7xD3bt2sXatWtJS0trjzF2CUThPeG68AYJu6yJ6CarL507zeMSLo+AYEsHxzZIuD4m4PIJE/hjv94sXJnHinB1EzJ6kzlhAs6A5wYV5Zs+He6915/9tHAhfPghkUkJTPhTqe85PTN6c0b203w1axbvAeunbefJ3DkMbsZYa4EJxu0cOsa6dbzjMUex5cpwsUXtj6Zp8MU6yM9na2o8o404LJdiDyhFsIVTJ0yhZ7/eLFqZFxTA2+zmlJ9/zqizxjcd79PMMbc0pbw744zsQ3HGlRRnXClicQ5vIq7oc+KKPsdWe1BkWJVspM9Pj+GI7GPE4pxFZdLoblcXp7u4HzsTrTIQTJ48mddff51LLrmEk08+mc8++4zk5OS2HluXwom/kWX9GjUlRqZTisfIdgmoraIjMpA6khhV5ZEnl/Lb2bMbpFn76iZkP42qqmJSMerU5Kan4/EYmTuffQarVwccNAZ0nbufW8ro769pEAz8DbBQ97AnIo2rs95gqK5xKzCSjp84JZ2TNcuX88TcObB3HwC3AKkZGZx36aWseevNBqUIplx2Bf9avJiZTynMN77Tnxmt5Jp0tRYdAVe5yMZSLaBGGQHeLbMahOos3pzYneMFXbVTkXomFalnckDXsVXvFQKn+HOiSzdjqzlA6r43Sd33JpoaQUVyFuVpEylPPQu37fiecyShaZaomVUvlddLSkoK8fHx/O53v/NtW758eduMrAvjj6cxRI3hfkrWvWnG4r532g7uAtUx/GbWLKqzs1l4x61kPZjn294rozePZT/N5FmzjEllrq/I3q2AyWYTKd3Ll8P69aJTd3o6jBsHl1zCk/PvJ+9PIpQlMBh4OPCGYuKfwGvAD4rK/0NYYv4PCBN6LDlOWRNUD+nfPotg0cKF/POJJxjVH7IfDC5F8K/Fi7l63jzWvPVm0HcamuFqHTQWEoaDuwrqDoO7EpxlItDbHCXanDSRohyqs3io2B2JgaLgiO5PUXR/igZch8ldTczhr4gr/Iy4os+wOopIKPyUhMJPAaiOH0ZZ6iTKU88yUsalm0oCiq7rTV4SX3/99c0+4CuvvHJUA2pPKioqiIuLo7y8nNjY2DY99tdHfqDEU0OqOZoeO/9Grx3PUNLnEvad+jB3RPYmxxLDgpp8ZlVsh4TTwJaIE1HddwIiaLejcQFbHBXUPRzXwLISNKksWCAmlddfh5tugo0bQwcKb9wIWVmsvVekdOdeVhUyCPAw8HdgOaJmTyCf47dkSffT8YmmaVw0cCBFw4aFjt2aMZ0+X3/MnsX+ekgeD8x8SmFraW/e/eFbahclkl8GFdM/4E83/J6RyXkh68p4n7N8155gF5G7VhR8dB4Ri1ZrBClHgRpJrWJiQpxwouaUb8equbl4+NmMTCkMSikPOk9JGstzPzmuXVHNRteJrPiRuMJ1xBWtI6r8h6CHRbDxWZSlTaQyaUy3c1N1JQ46KxgbM4BUe9v2rmru/N0sS01nFiqdEYtDFAdzWZMAv/sp2eM0iqMFp3N3lp+fBThZVYnzBjsalpWwRfYSEsS6hSnd9UkC7gZ+BbwKrMaXWM01wCXAVMR7JTn+yG1FPaTAUgTfbfySG7zf6cmTuP2ppdw9e3aQWyqUqzUIc4RYIlJFCrmrQogbRym4CkW9nYDguHCdxYPHVkDuhi2Mkk1am0ZRqIkbSk3cUPJPvAlLXRFxRZ8RV7SO2OKNRrDxW6TsfwtNjaAyeYzPiuNu48lV0rmRFYXbAZ+osRmixut+8jiMaq9+UWOjc03WgUHLdYixhZ1UWpHS3Rj9gAeA64DZxrZ9wJPA88D4Zr4GSfeipJX1kPylCAog4Gs7edYsHsvOZmkjrtZGUW2gpoA9RQgcZ4UQN14chykpOCTG0FTsTmEjvbMkYXHZUwNSxuuIKfmK+KJ1wk1VV0B84VriC0U2bnXcKYYVZxK1sSdLN1U3p1WiJjs7m7fffpv9+/fjdDqDHtu6dWubDKwrY3YeBsBtS0YDSr2BwpoDX8VYhKhJ5tj0fGoNRUA6jUwqEyZARgaES+l+9FHS+mcwYfDeFp03MIduDrAK2AF8GhCkfFt6OjMmTGCMqpLUspcl6WIkt1I8+0sR9BAdXAOYPGsWk6aeTVUIV2uLUG0QkSIWL5Y4kpNFpesmY3fSpBXhaNFVOxVpZ1GRdhboOhEV24krWkd80Tqiyr4nqnwbUeXb6LnzeZy2VMrTzqI8dRIVyWegq9KJ3d1ocTOOZ555huuvv560tDRyc3MZPXo0SUlJ/PLLL1xwwQXtMcYuh8UhRI3LlkyZoqIpCoquk6DVGWXvhchxA9GNHKej6QHkU29SCURVYckSWLVKpHRv3AiVlWI9cyasWsW8xxb64hxaw8XAG8DNy5cTMXAgTJoEV17J1kmTeGDgQM5bvpwrgaeB/9Fg7pJ0AzKNekgsWiTEciAeDyxaSJ80MxMGB28WpQj6iCKPIfDWlbkiC0addWbbxbbEDyXz/Gvo2SedRStDD/nRlQq9+vYgM2tk25xTIlAUauNOpmDQ79k+7i2+nfIZe099mCNpU9DUCKyOIlL2v8PAzX9g+H/HccLXfyB5/9uY66TFrLvQ4unmL3/5Cy+++CLPPvssVquVu+66i08++YRbb72V8vLy9hhjl8PsEzVJvniaRF3DrGtGiwSjHQCdI/MpCHMUXKnDlTonmaOIBPo2NqnMnAkjR2L63/8gKwtiYyEri7Rt23g8O5tJl17Jlit1tlypt7pS6Nrly3lu9mxqhw0LFk7DhsHs2exYvpx/AfcgYm8uAOYiXFYfAj8hgowlXRNvPSRWrRLft8DvwIwZsGo1aZFuNu2GylrYuFME4q7KhduWhIiPaW8UBdUez+1PP8eqXIWZTyls3Bk4NsTYHpkvg4TbGbc9hcN9LuGXUc/y7Tkb2Hn6CxT1uwKnvQcmTx3xRevo9/2DnPbpWZy0/lf02PUi9sqd9RrMSroSzcp+CiQyMpKffvqJfv36kZqayieffMJpp53Gzp07GTNmDIcPH26vsR41xyL7KU2xMOKjTAC+OXcjn0f05Laovpyo1fFm6RawJEC8iFo8AIwl2N3S2cgDtgLfLl/O/d7sp/nz/UX2Hn0UVq3ivrfe4pGUFMjP54n0dM6cMKHVf9iBWU7rNI3LGst8mTmTuG3bmLxzJz+oKrtpmEHlJR7xXnuXVEQMUWy9JQJ/ALdKy92DujEGl7E4EVa5wPvexRWwdtR7vLn7htvPSXD3qvrr+re90V71l8DtFoQQtxvvk3epvy0S8V7GGEssEIW/tWdr8JYUKDZKCgCk9e/PubNnG3VqAuNj+nDbEhEfY3JXk/m2sIkGZuCF294awmXmrVm+nKV33Bo8tr5p3PbATUy+cAJYYkCNkHEexxpdJ6JyB3GFa4kvWktU2fdBD9dF9qE8bTJlaZOpSsj0JXdImqZLZD8F0qNHD0pLS+nXrx99+/blyy+/5LTTTmPPnj20UB91S7xBwh6TBc0cS7Ev88ktmimqIizYjXjzO0vmUzh6ApWAa9YsHs3O5sm5cynOyvI9nta/P3Ozsxk7axaPGNvGcHSTVyDfNZX5Mn8+5VlZnJeTw70TJ1KHsMz8DOwFfjHWpUCZsfzcgvOb8AucwLPX/6briM/UKyokDVEQwiZQ7CQYS2KYJbAw5eRZsxg9YwYTjbiqZ9LTOcMQz7c+fN/Rx8e0AyFjd846G1WrAkeJWJzlRnZVtJw8jxWKQm3sSdTGnkTBoBtFNpURXBxz+EvsNQew73mNtD2v4bbEGYHGk6lIGSd7U3VyWvwLmjx5MitXriQzM5Prr7+eO+64g+zsbDZv3hy2SN/xhC9I2JoEihJceE/3iKqkiInPQucXNQowEKgGlFmzeGvGDCaHmFTay73T3E7g3mBmO5BpLIFUIOJtCoECY12C6FJeaawrjCUw9N2DyAKrO8rXYUV83mbjtve+NcR97/fCEmK/5j7Huy1wWg/oLx5024u7mUsdwjLhXepCbKtGvK+ViPfUgRB+VcbSXOyIlP9UY0lQVTA6xduBIwhRZAnsuxRQ5LEzoNYfm9kC5gSwJYC7t0gNrysEx2FR8sEa6/ufkBwbXPZUSvpdTkm/yzG5q4ktXk984VriitZhdpWTlLeSpLyVeEwWKpPGUJY2mfK0Sb6q8ZLOQ4tFzYsvvihK4wM33XQTSUlJbNiwgenTp/P//t//a/MBdjUCg4QBDgdaatCDatR4J6DOjhk4GagBCgImlUzaziITjuZ2Aq/fbLM+XtdSiESUBngIduc4jLWnkecoiM8z1NIaF1Z3w4lf5HiFTiVClJTWW44gCjI6EGIpz1jq461jrgIpagQnnJ1D/+o9RJgs9ALfktyZ225469/YU0XF4rpicB0G7QhYokV7BumaOqZ4zFGUpZ9LWfq54HETfSSX+MI1xBWuwV5zgLjiHOKKc2DbQ1THDaMsbRJlPaZQFz1QfladgBaLGpPJhCnADfCrX/2KX/3qV206qK5M2Bo13hYJxlvuQpjfO8/1ZONEAkMRE057E9hfypOa2ngn8EcfJa1/fzInTAh7vJZiwh8jImkbrAiLS3PT73WExacUYVErMpY84B1jnxSE+NGAAsVEQep41oeoZmRFlCYIFDp9gP4onKKYsfh+m62nfk+0M1oaU2Yygz0ZbElGa4YSYb1xFgjRY4kRLRokxxaTmaqk06lKOp2DJ9+FvWqXsOAUriG67Duiyr8nqvx7eu14BkdkHyFw0iZTlTBCuhI7iFa96zk5Obzwwgvs3r2b7OxsevXqxT//+U/69+/P+PHHd4k0b+aTt9laSZClBl/mkxsRX9CVSERYbNqT+v2lbgdiU1L8mS8hgpTnZmd3ivgJSduhIIR0JNA7YHstflGzHGEJOwwUu2uxf/lr9kT3Z9OpD5NnspCHcDU6EUUc99U/iTkS8+U1DKj6hR4mG/0QBSAzjHU8zbOwheqJlpqRwbwlS5ou5NfghStCwFhiIKKHcE3V5gsLjmoBc5ycLDsKRaEuZhAFMYMoGPg7zHXFouBf4RpiSzZiqzlA2p7XSdvzOm5LbEAczngZh3MMafGv49133+Waa67hqquuIjc3F4fDAUB5eTmLFi3iww8/bPNBdiUatEgweTt0O4JaJLjp+O7craFnwO062rb/UnDTwmU+8VKxaBF88AGxmzZRESJIucUTh6TbYEZksqXjIXP/2wDknnI/HpMFEL+zQuAQfjfWQWA/QuTUmSzsiD2JHSGOHYsQNwOAExCxZScgxL1X7IT7zhYtWsRds2fzeHY2Z08/r5UvzuuaSgHHEagrAGepOLuMu+lw3PYUX1Vjk7ua2JKNxBWuIb5wHWZXGUl5H5CU94ERh3OGEYczWcbhtDMtFjWPPPIIf/vb37j22mv597//7ds+btw4HnnkkUaeeXzgDRR22ZLQCYypcRpWGmFR0On8QcJNUYQoHmhpg2OF7S81Zoy4P3Mmtu+/h//9D4qKgoKUJZJwmPG7nE6v95iO+A7vQ2TI7QtYChBxP98bSyDxCIHTX9P4qInv7JJ585g09eyjexEmi+g5ZU8WcTe1heAsAU+ZEDeyKm6H4zFHUdbjbMp6nM0+XSP6SC5xBWuIL1yDvWY/ccVfEFf8BWz7E9Vxp1BmpIvXxQyScThtTItFzc8//8yZZ57ZYHtcXBxlZWVtMaYujddS47YlU4UJpyL+6BK9LRIC/OJdIUi4MfoiroB7N7VjM2iyaeH8+SKVXFXhiiuOSZCypHuj4K9ZVL+lZB2ijtReRFmAXcBuY1sZsBnYnJMjXE6NfGcLs7LI/WI9o9pkwCawJYI1QTTUrCsCR7FICbfEiMKZko5HUalKHEVV4ijyTr4Te9UvhgVnLVFl3/raNvjjcCZT1mOKqIcj46aOmlbVqdm1axcZGRlB27/44gsGDBjQVuPqsgRmPx0x4mcidQ2b7kb0fTKj4a9/0tWIwl+jpQ7IRQibXog/+tbS3KaFePeTSNoROyJTrn62XB1C6OwC/pefzxfQ5Hf20YJSto9YTOaRXOwo9OEoOwkrCljjxOLqIeJt6gqhJt8vbuTVf+dAUaiLOYG6mBMoHHgD5rpi4oo+J75wDbElG4w4HFEPx2VNoDx1ImU9plCRnIWuylSF1tDi39YNN9zAbbfdxssvv4yiKBw6dIiNGzcyb9487r///vYYY5cisEXCEcP1lODRjBo1wlLjLbzXFUVNIHZgGCJuwStsWvtX2tymhTSRui3p3kQQWjx7jlHath0YbCw90tOFqGniO7unVy+ePPkq32YbQiydZBxnKCJup1VCxxtUbO8hrDa1BSL2xhwtFiluOhVuewqH+17C4b6XYHLXEFuygfiCT4krWovFeYTkg++RfPA9NDWCiuRxlPWYQnnqWWjW+I4eepehxb+je+65B4/Hw5QpU6ipqeHMM8/EZrMxb948brnllvYYY5fBpDkwuysBcNuSOGKYEhN0DXTNVw7dW3ivLWJROppo4FSExSaf4EDiluBtWthY6nZq//4UtWHqtkRyNDTnO5vYvz+/nzCBnYhK1jsQGVzbjMWLDb/AGQKcQgsvEiyRYOkn6t04SkTGVG0BWKIMcXMUXWUl7YLHHOmLw8HjIrp0K/GFnxJf+Cm22nwSCv9HQuH/0BWVysRRvkBjZ2Svjh56p6bFokZRFO69917uvPNOdu3aRVVVFUOGDCE6ujP3mz42WJ2lgL9Fgs9So7tBd4uAP4Rlo6sU3msOcfiFTQGiu3dL8TYtvGv27LCp27dmZ3OfDAyWdBKa8529JzubyQHfWQ8iLmc7QuT8BPyIqMD8rbF4iUMInCH4xU5yU4MyR4C5jxA3dcWGuCkEc6RR60aKm06JyUJV8hlUJZ/BwSHziaj4ifjCNcQXfkpkxc/EHv6K2MNfwY+PUhM7mLK0KZT1mEJtzEnSGlePZoua6upq5s2bx8qVK3E6nUyZMoVnn32WIUOGtOf4uhQ2hxA13hYJpaZAS40HTP6+T1F0ryqzicBpwDe0XthMnjWLx7OzRdPCMKnb57fJaCWStqE539lATOCrh+NN9PYgUsy3IQTODwiLTjmw0Vh8x0W4fIchfm8nEcbiq9ogqreRDn4YavKkuOkqKAq1cUOojRtC/ok3Y605KAROwadEl24hsmI7kRXb6bnzeRwRvSjrMYWytCmy8aZBs7t0z5kzhxdffJGrrroKu93OsmXLGDduHO+99157j7HNaO8u3aaCjxmZO5fquFPYPv5tltjTWGZL5Lq6Em4p+x5iB0FkbwoQGUOntekIOgfFCGHjpHXCBqBK00I2LZRIOitt/Z11ATvxi5wfgD00bKRqQxTEPNVYhhGmarPmFG6pmjxwVUpx00VRnUeIL1xHfOGnxBZvwOTxd6VzW+IpS5voa7ypd1Cqf5fp0v3ee+/xyiuvcOmllwJw7bXXMmbMGNxuN2azVIcAVqdoIuC2JgAEx9SAL12vqxbeaw4pwHCEGf1oXFHHsr+URHK0tPV31oLf9TTb2FaNcFdtQ/y+vkNYc74xFi+98YucUxEFA1XVCpE9wZbsFze1RSIWxxwjXRhdBM2awOE+F3O4z8UoWi2xxRuMOBxR8C/54PskH3wfj8lORUqWcFOlTUQz5qTjgWarkYMHDzJu3Djf/ZEjR2KxWDh06BB9+/Ztl8F1NfyiJhGAUp+oCe77BN0nniYUgcLmEKLvjvzLlEiOjihglLGAsNrsRxQH9IqcXxAVkw8CHwY8byjCMjxCtTIssid2W5IRc3PICCiW2VJdDV2NoLzHFMp7TGGfr/Hmp8QXfIqtNs+IyVmDjomqxBG+OBxnZFtUFuu8NFvUeDweLJZg763ZbBaN3NqZvXv38vDDD7NmzRoKCgro2bMnV199Nffeey9Wa+eRBxZXOQAuQxWXmbyBwsZ7ZPJXE+4OmU+NkYy4Yv0OUZq+JyKeQCKRtA0K/vicaca2KoItOdsQFp5NxgLCijREtZEZ1ZsR9lROqysipiZP1LoxRwuBI+laBDXevJuIyh0+gRNZ8RMxpZuJKd1Mn58eoybmJMp6TKYsbQq1sSd3OyHbbFGj6zpTpkwJcjXV1NRw0UUXBQmLrVu3tu0Ige3bt+PxeHjhhRcYOHAg27Zt44YbbqC6uprFixe3+flaS333k9dSk+hxiS+OcV+h+4saEMHDmYgryTyExUY6KiWS9iMaGGMsIDqY/4IQOd8gMhQL8bd/eF21okT1ZlBkT4a7qhlRm8/wuiKSzREi7kbS9VAUamNPojb2JPIH/QFrTZ5R0XgNMaWbiaz8mcjKn+m58684ItINF9UUqhJHdotA42a/ggceeKDBthkzZrTpYMJx/vnnc/75/ryXAQMG8PPPP/PXv/61k4maMkC4n3SgzEjpjtdcQtAoJoy6wseFqAGRlpqJuGL0CpvOY1uTSLo3Kv7KyLMRVuJ8YCtC5GxFuLB2KCZ2WGN42xoDcSfS111LpvMImR4nmR43PXWXdCF3UZyRvSjufw3F/a9BdZYRV/SZqGhc/AW22nzS9v6LtL3/MjqLT6QsbQoVKePwdFFRe1SipiMpLy8nMTGx0X0cDoeviziI6On2xGepsSVQhQm3YdZL0B2GqDH7qgkfL6IGhE9/OELM7EW4prrmz0Ui6dooCFdwT/wuqxL8VpxcRNbVfnME+80RrDD2SfM4GeGuZZS7mtPdNfTUXcd45JK2QLPGU9p7BqW9Z6BodcSWbAyqaJyUt5KkvJV4TDYqkrMo6zGZ8tRJuG2Nz7WdiS5pa9q1axfPPvtsk1aaRx99lIceeugYjQqsrjJAWGpKDTNelK/vkymoRcLxJGpApJ4OQ5S5/xlwAMdPPL5E0nlJBs42FoBKhLsqF8j1uPlBUSk0WfmP1cp/rHEA9PQ4GemuYZS7mlHuGtJ8yRCSroKu2ilPm0R52iQwOovHF3xKfOEabDUHiC9aS3zRWhFonDDcVw/HGdW5E4OaXaemPbjnnnt47LHHGt3np59+YvDgwb77eXl5nHXWWUycOJG///3vjT43lKWmT58+7VanJvO/ozFrNWyb+CFfxZ7Mb6Mz6KU5WXHEqBOaOIIyk4oJmMjxmRGkIyqq/oS/lk39AOJawNsMIQchhCSSzkx3/s7W6TrfuarY7Kljs8nKD5YYtHr1bfpoTkZp1T6hk6y3fwKJpJ3QdexVuwyB8ylR5T8EPVwbM8iXSVUTO6RBoHGXqVPTHsydO5df//rXje4T2Pn70KFDTJo0iaysLF588cUmj2+z2bDZbEc7zGahaA7MWg0gLDXeFgmJuhvwiBYJJmGpieH4FDQgXndfhEvqR4TA6YGw5HgJ17RQIpEce+yKwmhrDKP1KHAcoabsR77VNTbbk9hsTeQnNYIDqpUDqpX3jCSJDM3BKEPgjNRq/Bmgks6PolAXM4iCmEEUDLoRS+0h4gvXEl/wKTGlm4mo3ElE5U7Sd/0Np70HZWmTKesxmcrE032tgDqSDhU1KSkppKQ0T83l5eUxadIkRo4cySuvvILJ1LkShC3evk+KGc0c4yu8F+9tkaD4+z51p6u41pKEqLfxMyLOJgaI78DxSCRHw3EhxBUT2JOItMYz1nGYsbUHoWIHVeYYcu1pbLZEsdkcxQ6Tjb2qWLJtQuQM1Op8ImeUu4ZoPB38YiTNxRXRk+KMqyjOuArVVU5c0efEF3xKbHEO1roCUve9Seq+N3GbYylPPRMtOQvFnipadHQAXSKmJi8vj4kTJ9KvXz8WL15McXGx77EePVpbjL9tMfsynxJAUTgS1PfJ38xSQ4oaLxGIiqfxCHFzEGG16RJfSonkeMWkQkQqWBPAUUx0zUEmVO1igiUGzNGUKyZy1Ug2m6PYbI5kl2r3Lf+2JaLqOkO1Wka7qxntrmaYVnvcxRh2VTRLHKW9LqK010UomoOYki+NisZrsTgPk3RoFUmHVlFhjoLBt3bIGFs1f3z22WcsXryYn376CYAhQ4Zw5513MmHChCae2To++eQTdu3axa5du+jdO7gaYgeGBAVhdnqbWXpbJBjuJ487qJmlB5nSHIgJyECkfv+MSPtOANo24kkikbQ5qkW0XrAmisJ9RnXiOGs8E3UPE91VgGgXs8UQOZvMkexXbXxnjuQ7cyR/JwW77mGEu4bR7mrOcFdzgschC3V2AXTVRkXaWVSkncV+XSPqyLfEF64hquBTHOnndNi4Wixq/vWvf3H99dcza9Ysbr1VKLH169czZcoUXn31Va688so2H+Svf/3rJmNvOhpzvcJ7ZUHuJz3I1yivShqSAIxEZGLsRlht0pDvlUTS6THbIbqf6CtVewjqCsBVLiw5JisJusbZ7krOdlcCUKCY2WSO8i2lJjMbLNFsMCoZJ3rcnG5Ycc5wV9NDZlZ1fhSV6sQRVCeO4OAJv2OsLbnDhtJiUbNw4UIef/xx7rjjDt+2W2+9lSeffJKHH364XURNV8BSr+9ThSFq4nQN0IMqNUr3SmgswECEsNmJ6BtlR1QmllduEkknxxIFlkFgT4WaQ+AoEnE4lvig/78eupvprnKmu8rRgd0mG18ZAmerOZJSk5mPrXF8bKSP99UcnOGuZrS7hpHuamJlPI6kEVo8v/7yyy9cdNFFDbZPnz6dBQsWtMmguiJmV2hLTawv6t+E11EmrQ+NEw+MQFQf3oXIkIpHuKgkEkknxxoHlhhwpAjLjaMEVDtYYoXICUABBnocDHQ6uMpZigvYpkb4RM4PagT7VRv7VRvv2BIx6Tona3U+K86pWi1WOkcIgqRz0GJR06dPHz799FMGDhwYtP1///sfffr0abOBdTXqu5+CLTWAoqIh3nBpqWkaFeiNsNocRPSv2Y+w2sh2exJJJ0cxgT0ZrPFC1NQchNpCIXYaaZhpATK1WjK1Wm50lFCFiS3mSJ+rao9q4wdzBD+YI3iFZGy6h5HuGsa6qxjjribD4zxuy2VIBC2eX+fOncutt97KN998Q1ZWFiBial599VWWLl3a5gPsKlh8gcLC/VRuaihqvH2fpKhpPnaES6oHQtQcAEoRMTgxHTguiUTSDExmiOgh4mtqi6D2INQWCLGj2pt8ejQeznJXcZYRdFzki8cRQqfEZAmKx0nzuBjjrmasq4rTtWridOmqOt5o8fz6+9//nh49erBkyRLefvttAE4++WTeeuutY9bgsjPitdS4bAloQKXXUuNxir5PJmGpOZ6aWbYl0cAQhPXmIH5xE4fIlJIxNxJJJ0a1QXQfsCUGBBNXGMHEzf9HTNXdTHOVMy0gHudLcxQbzVHkmiMpNFlYYY1nhTUek64zRKtjrLuKM9zVnKLVygvK44BWfcYXX3wxF198cVuPpUvjcz9ZEnyCBiDW4zLKSJuk+6kNiEWIm75AAbAPIXJsiLibY1M/WiKRtApfMHEK1ORBXbFIDbfEiYu/FhAYj3O1s5Q6FHLNkT6R84tqZ5s5gm3mCF4ihShdY7S7mjHuasa4quklm3J2S1o8vw4YMICvv/6apKSkoO1lZWWMGDGCX375pc0G15XwiRpbIuXGjzNK1zDjAcXscz/ZENYaydERjXBL9QGKEcLmMKKfVIyxSPEokXRSrPEicNiWKlxSdUVgjgJzTINeQs3Fjs5YdzVj3dXcARQqZr4yBM4mcxTlJjNrLbGstcRChD+raqy7mlHuaiJlwHG3oMX/+3v37kXTGvbxcDgc5OXltcmguhweDbOrHBCBwuWBQcK6BiigmNGQloS2xoZwSfUCyoASRAG/QkTzzCiEAJIuP4mkk6GYICIFbPHCYlNtxNvY4kCNPOrDpwWkjmvAdtXORnMUX5mj+a5eVpVZ1zlVq2GsYcU5yVMnXdpdlGaLmpUrV/puf/zxx8TF+RNsNU3j008/JSMjo00H12VwHkYxVL7bEu/LfIr19X1SQRHup6ZD4yStQUEEDycA/YEjCMtNIcKS47WSRQGRyBgciaTTYPJWJk6A2nyoywdnJdgSfJXYjxYVGKrVMVSr47eOw1RhYrM5ki/N0Ww0R5GnWtlqjmKrOYrn7RDvcfusOGPc1STLAoBdhmaLmpkzZwKgKArXXXdd0GMWi4WMjAyWLFnSpoPrMjhKAHCaY8FkptyoxRDn8Yoas69Dt7TUtD9mIMVYBgHlQAVQhLDmlCGsOBZE/6kIZOsKiaTDMUdAzACRCl6dJ1ovqGZRvK+F8TZNEY1o4+Bt5XDQZGGjIXA2myMpq1cA8EStjnGuKsa6qzhVBhx3apr92Xg8IjWuf//+fP311yQnd1wZ5E5HnWiw6bTGA/jcTz5LjSqmTB05eR5rVERtm0REj6k6oBKoQmRPlRlrb8igGSE8rcZiAVn3QiI5llhiIS7aCCY+IP5fzZFHFW/TFL09Li51HuFS5xHcwHdqhM+K85M5gh2qnR2qnVdI9gUcZ7mqGeuukm0cOhktFpx79uxpj3F0bRxeURNceC9e1wBNWGoMZGxHx2I3lhSEm8oN1BhLLcKiU4kQP9UIseMNH1TwZ6+ZEYJJRbiyAtcSieQo8RXvi6sXbxMPakS7ntoMjNBqGaHV8gdHMaWKypfmKDYYIico4BgYoNUxzqiNM1xWOO5wpBWtLXCEs9R4RDNL1S9l5KTXuTAj0sTrdwV3Ag5jcRpLHUL41BnbNWPtMRajy5ePcH9tCsFCScdvDaq/Pdxzw60D9wuk/rFCHb/+WEQhguBFrXc7cJFI2pwG8TaHjPo2iS2qb3M0JOoaF7oquNBV4Qs49gqcbWoEv6h2flHt/NOWRITuYZS7mnHuKsbKtPEOQYqatqBOxNS4LPFAffeTBor/xyff8K6B1/0UrmqxjrDyaAFrT8Dau+gBaz3guYHr+ighboda199W/3a4cddf1x+j93W4A16b01i7AtZ1xuOBr9WLt3K2GWGdDFxLJC3GG29jSxLNMusKW13f5mgIDDi+wVFCmaKyyRxpiJxoDpvM5FhiyLHE+NLGx7mFm2qEuwa7tOK0O/I/pi2o534KTukWHbo1xNWtfMO7Bwpikj4e3YmGUzVI1HkXF37B43XpuRAWLZexD/hdeVZk/JKkBXibZdqSjZYLRaKXlKVjmqbE6xrnuio511WJB9hhsrHRIqw436qRvrTxZbZEX5+qLHcVY93V9JV9qtoFOce2BfXcTw2bWZp8LRLkGy7p6njdTc0Nenfjd+F53Xp1iGDtSmNbFf5gbQUR92TDH7Qtkfjw1rexxot2CzV5Leon1V6YgMEeB4MdDq430sY3maPYYBHxOEX1+lT10pxkuavIMor/RUgrTpvQqjl29+7dvPLKK+zevZulS5eSmprKf/7zH/r27cvQoUPbeoydn/rZT/WbWaLiQbZIkByfeL/34cqpeeOVvEsNIiutGn9mmjdz0BvobUNadY57VAtE9QFrEtTmGf2kKo1+Uh3/TxuNh8nuSia7K319qjaao9hgiSZXjSRPtfKOmsg7tkQsuodMdw1Z7mqy3FX0l1acVtPiT/6zzz7jggsuYNy4cXz++ecsXLiQ1NRUvv32W/7xj3+QnZ3dHuPs3Az6PQdjh1ARO5hI6sXUgK9FgnQ/SSQN8bqf6gdruxDuq1r8QqcMkaHmCHhuBEIwyd/WcYolEswDhUuq5qCoG6bajXibziENAvtUXeMspQaFr81RbDRHs8ESxSGTlU2WaDZZonmaNHp4XIx1CSvO6e5qopHdxptLi/8H7rnnHh555BHmzJlDTIzfjzl58mSee+65Nh1cl6HvJeTHDKbKU4MVqA5K6Ua6nySSVuCNWQoUOx6EwKnGb8kpR1SNdiF+Y1EIoSMLXR5HKIqoQGyJFeEANQeF5cYSJ2rcdDIi0TnLXcVZ7ir0OthnsrLBEDlbzJEUmCy8Z0vgPVsCqq5zmlZDlktkVQ30OKQVpxFaPMd+//33vPnmmw22p6amUlJS0iaD6spUBETiR3ucIjLfpPr6Psny/BJJ6zEhenlFG/cHIMRMlbGUIYTOEYRbyytyIpGxOccFJhUievhTwGsPQW3btlxoaxQgw+Mkw+nkSucR6lDYYo4UVhxzFPtVm6+Fw3OkkupxMdZdzThXFaOlFacBLRY18fHx5Ofn079//6Dtubm59OrVq80G1lXxippoXcOs64b504QHeeUokbQHFvx9v/ogMrKqEUHIRxBWnFKEyLHiFzmytk43RrVBdIZIAa/OA0ehEDzt0HKhrbGjM85dzTh3NSBaOGwwBM7X5iiKTBZWWONZYY0PsuKMd1dxgrTitFzU/OpXv+Luu+/mnXfeQVEUPB4P69evZ968eVx77bXtMcYuRVlQ5pNmNLOUfZ8kkmOFir+gYi+EyKlExOKUIAROPiL4OBJh9ZG/zW6KJQbiTgRHkuGSKgZzVIelgLeG3h4XlzmPcJnzCA4Uthp1cdaHsOKkeVyMdVeR5ao+bq04LRY1ixYt4qabbqJPnz5omsaQIUPQNI0rr7yS++67rz3G2KWoMkRNjLfvEwoowv3UOY2fEkn3RgXijaUvIsi4AuGqKsDvqvIWW4xEZlZ1KxST6CNliRdF+2oOdooU8NZgQ2es0T18LsKKs94czQZzNJvNkRSaLLxvTeB9q4jFGa7VkOWqYpy7+rix4rRY1FitVl566SXuv/9+tm3bRlVVFZmZmQwaNKg9xtflqDQ6dIsWCR5ABcWEjrwalEg6Azb8XdxPQFhxyvELnFL81p5IZBxct0G1QFRv0WKhE6aAt4beHheXO49wuRGLk2uONESOsOJsMUexxRzFs0CaxyXq4hhWnKhuasVp8Sf5xRdfMH78ePr27Uvfvn3bY0xdmsqAmBp0D5hMoKjoSB++RNLZMAFxxtIXEYtThojD8cbieAVOFFLgdAvqp4DXlYC5c6WAtwZ7gBUH/Fac9UZGVaHJwnvWBN6zJmAOsOJkdTMrTotFzeTJk+nVqxdXXHEFV199NUOGDGmPcXVZvJaaGN0j+j6ZLKAovrLwEomk8xJlLL0QhQCPAEUIgZOHXwRFIV1UXRpfCngM2Iuh+oDRBTwO1M6XAt4a6ltxvLE4XivOZnMUm81RPINhxXFVMc5dxenumi5txWnxPHvo0CH+/e9/s2zZMv785z9z6qmnctVVV3HFFVfQu3fv9hhjlyIopgYdFPEWS0uNRNK1sAPpxuIVOIUIkVOKv2Bg95gCj1NMZohIF/E2vi7glaJKcRd1SYXCjm5UKxZWnAMBsTg+K45RF8es62T6rDhVDOhi1Y0VXddb3XBiz549vPnmmyxbtozt27dz5plnsmbNmrYcX5tSUVFBXFwc5eXlxMbWr196dHx95AdKPDW8GDOQ960J3FhXxG8rfgZbKsSdxEEgC+HHl0gkXZda/BlUJYhigJEIC45MBujiOMv9WVKqTRTzU7q309FbF2eDIXIOqMHf4h6GFSfLLeriRDbRo+qgs4KxMQNItbftbNfc+fuopGj//v255557OO2007j//vv57LPPjuZw3YJKn6XGE9ShW7qfJJLuQQTCPdULEWRcinBNHUY074wxFmmZ7YL4uoCnQM0BqC0Ea6xIA++mBNfFKWS/ry6Ov7rxclsCywOsOOMMkdMZe1S1ep5dv349b7zxBtnZ2dTV1TFjxgweffTRthxbl6QSb0yNBnhAsWDkQMk/OYmkm+EVMH3wBxjnIaw4gfE3ki6EYoKIVJHy7atKXNipqxK3JX09Lvo6j/CrgOrGXlfVQdXK10YRQG+PKq/AOb0ZVpxjQYtFzfz58/n3v//NoUOHOOecc1i6dCkzZswgMlJ6liEwpsZrqVF9fZ+kqJFIuicmINFY+uN3TxUiXFRRiDo50lrbhVCtEN0PbIldripxWxHOirM+wIrzri2Bd20JotO4VssQtYQ+mEjtoDG3+Df2+eefc+edd3LZZZeRnJzcHmMKyfTp0/nmm28oKioiISGBs88+m8cee4yePXseszE0h8qgQGF8zSxlh26J5PjACvQwlkqEqNmPqIOjIMSNtN50IepXJa4tAkt0l6pK3FbUt+Js9lU3jiZPtbLJHMWm6CjGOcsZ0UFjbPE8u379+vYYR5NMmjSJBQsWkJ6eTl5eHvPmzWP27Nls2LChQ8YTjgol0P0EoEr3k0RynBLonioFDuG33kQj3FPyYqcLEFSVuMBfldiWAKbjs6yqHZ3x7mrGu6vRKWS/0Wl8rWrnLI+7w8bVrN/TypUrueCCC7BYLKxcubLRfadPn94mA6vPHXfc4bvdr18/7rnnHmbOnInL5cJisbTLOVuKTj33E/gsNVLUSCTHL2Yg1ViqEGnhBxDWG6/rqmsV7D9OUS0Q1cdflbi2QNS8scR3qxTwlqIA/TxO+jmdTHBWEBczoMPG0qxPYebMmRQUFJCamsrMmTPD7qcoCpqmhX28rSgtLeWNN94gKyurUUHjcDhwOBy++xUVFe06rjpMaEZFSmGp8fd9siOLdUkkEmGhiUZUMC5BBBZ769/EIWrfyP+KTo4lCsyD/FWJHSVgjgRzTJeuStwdaFYCvsfjITU11Xc73NLegubuu+8mKiqKpKQk9u/fz4oVKxrd/9FHHyUuLs639OnTp13HV20SthhV17HrmvhyKyY8yPoVEokkGDMi7mYEoobVyYAHEX9TgkgPl3RiFEUEEcedDLEnga6IhplaXUeP7LimxVWFXn/99SDrhxen08nrr7/eomPdc889KIrS6LJ9+3bf/nfeeSe5ubn897//RVVVrr32WhqrHTh//nzKy8t9y4EDB1o0vpZSZVQPjtE1FN0j/LCG+0mKGolEEgpv8PBgYBwwClHMrwARgyOnyE6OyQKRPSFhGET2AXeV6CfVgXElxzMtriisqir5+fk+y42Xw4cPk5qa2iJrTXFxMYcPH250nwEDBmC1NpQEBw8epE+fPmzYsIGxY8c263ztXVH4M5OJO+NOpo/m5L2Kn8BdCfEjyLNEMhCQXbIkEklzcCOsNQcRrikXkIBwW0k6OY4jfpeU2vUbZbaULldRWNd1lBAf0MGDB4mLi2vRsVJSUkhJad0L93hEIG4oq1FHEdT3STdynhQTOnB8xsdLJJLW4HVNpSF6TuUjBM5h/HE33bt4fxfGliDaKziKoPpgt2uU2dlptqjJzMz0uYSmTJmC2ex/qqZp7Nmzh/PPP79dBvnVV1/x9ddfM378eBISEti9ezf3338/J5xwQrOtNMeC6gD3k/COi0Bh2cxSIpG0BgV/Ub9+CJfUPkTmlCzo14kxqUajzARRkbjuELiqRNbUcZwldSxo9rvrzXr65ptvOO+884iO9htCrVYrGRkZXHLJJW0+QIDIyEiWL1/OAw88QHV1Nenp6Zx//vncd9992GydxwbiDRQW1YT9MTUKUtRIJJKjIxoYiKh5U4gQN/mABUgy1pJOhtkOMQPAlnTcNcrsKJotah544AEAMjIyuPzyy7Hbj11VhWHDhnXq7t9efO4nNNEiwRA10lIjkUjaChsiHbwnIg18v7EGIW5kvZtOiDUOzNH+FPC6QiFsunGjzI6ixXaw6667rj3G0S3wup+idQ/omoiKN+KPpKiRSCRtiRkhbHoggooPICw3GsJdJSM4OhkmFSLS6jXKrDpuGmUeK1osajRN46mnnuLtt99m//79OJ3OoMdLS0vbbHBdjaBAYXRQzOgIv7j0okokkvbAhKhUnIJoxXAAkQp+GJkx1SlRbRCdIVxS1YbVRrUYjTKlS+poafE7+NBDD/Hkk09y+eWXU15ezpw5c5g1axYmk4kHH3ywHYbYdagO6tAtLDXeZpbSUiORSNoTBeF+Go4o5jcIUeNmP6KxpqSTYYmBuJMgfqjIjKotFMHEkqOixaLmjTfe4KWXXmLu3LmYzWauuOIK/v73v/PHP/6RL7/8sj3G2GWoMgVmPwEmMx6kqJFIJMeWeGAoMBZRqdiJEDfliB51kk6Ct1Fm3CkQMwh0N9QUgKfzlCrparRY1BQUFDBs2DAAoqOjKS8vB2DatGmsXr26bUfXxfBaaqJ1TVhqFIvs0C2RSDqMWESl4ixE8U8N4Z4qQ4qbToVqgeg+ED8MonqCs1wU79Pbv5did6PFoqZ3797k5+cDcMIJJ/Df//4XgK+//rpTpVd3BH5R4xHZTyZVup8kEkmHEw2chGjDMAwhaPYjxU2nwxINMScKy405BuqKwCWdhy2hxaLm4osv5tNPPwXglltu4f7772fQoEFce+21/OY3v2nzAXYlagJFDYCiSkuNRCLpNEQiat2MA04ztklx08lQFLAniVibmBPFBXJtgWyU2UxanJTz5z//2Xf78ssvp2/fvmzcuJFBgwZx0UUXtenguho1ge4nABQ0pKiRSCSdiwjgBERK+CFgL0LcxBnL8dOpqBNjskBUb1GFuDYP6gqE1caaIKsSN8JRvzNjx47tVK0KOgonCi4jHS9KN1okICw1NuSfhEQi6XxIcdMFsESCeWBA4b4SMEcYVYnlJ1SfZomalStXNvuA06dPb/VgujI1AfUFIvG6n0x4kOXLJRJJ5yaUuDmACDSW4qYToChGo8wYsBdD9QGRAm6LAzWio0fXqWiWqPH2fWoKRVHQtOMzWrvKEDWRuma4mkSbBA0paiQSSddAWm46OSaz0SgzXlQlrjtkuKRko0wvzXoXPB5Pe4+jy+PNfIryFt5TTGBSpaVGIpF0ObziJp1gcZOAsN5IOhhzhGyUGYajevV1dTIa20t1YDyNt5nl/2/vzsOjKu89gH/PZBmyTkKYkEBWBAKRNaGGgFsFjEgRpEVuSyEpgkWxgES5YMuitBJBbBGL1VuaqI/XuAEViiIXDCiEGCIoWkJlTQhJUJYskISQee8fb+bAkMUMnMnJzHw/z3OeMmfOnPzOO7HvL+/aOFCYu3oQkTOyzpYaBrmYXz3k7uCcZNxBeJuAwD6Aqa/cP6q2HLhyUe+odGV3UtPQ0IBly5ahe/fu8Pf3x7FjxwAAixYtwrp16zQP0FnYJDWwNCY1HhDgvk9E5Nx8Ide5sS7iVwfZcsNF/TsA60aZQf0A/x6ApV6Ot7Fc/vHPuiC7k5o//elPyMrKwooVK+DtfbUNol+/fvj73/+uaXDO5Gr3UwMgGjdHaEx0OJ2biFyBP66uUNwbQA3kgOJLegZFknWjzKB+QKcw4PIF4PJZt1uV2O6k5o033sBrr72GyZMnw8PjanU9cOBAFBYWahqcM6luLEo/NLbUQAEaEx0mNUTkSgJwdW+pWyC7o05BbqBJOvMKAEy9AVM84OEH1LjXqsR294yUlJSgZ8+eTc5bLBbU19drEpQzarJFgmIAFKVxtRoiItdjgtx2IQJyrE0J5P5SXSDX5yKdWDfK9AqSi/ZdKpGrEhuDAYNrfzN2t9TEx8fjs88+a3L+/fffx+DBgzUJyhlZx9TIpKZxTA1baojIDQRDbruQBKA7gB8AlEIOLCYdeXgBfo0bZfpGyBabuh8AyxW9I3MYu1tqFi9ejNTUVJSUlMBisWD9+vU4fPgw3njjDWzevNkRMTqFqwOFG8fUGLwARYEAkxoicn0KZAtNCIBIAMcBlEEuaRECTpjQlZffNasSF7v0qsR2t9SMGzcOmzZtwv/93//Bz88PixcvxqFDh7Bp0yaMGjXKETE6hepr16mBABRP7tBNRG5HARAKYAiA2wAEQbba/ADZNUU6sa5KbIoHgvrI3oSaMqDBtYZ531DyfMcdd2Dbtm1Nzu/btw9Dhgy56aCcUdMp3Z7coZuI3JYH5OJ9ZsgWm6OQg4kDILurXKt9wIm0uiqx8y8Va3dLTXV1NWpqamzOHThwAGPHjkVSUpJmgTkbNalB45iaxtWEDbjJFQ6JiJyYJ+RA4mQAiZDJThGACgBCx7jcnnVVYlN/wGgG6s4Bl883LknivNpc3xYXFyM5ORkmkwkmkwnz5s3DpUuXMHXqVCQlJcHPzw979uxxZKwdWpN1ahpbatj9REQkV1aPhlzjZgBkVxQX8OsAvE1yRWJTvJwZVVMO1Dvvt9Lm7qennnoKtbW1WL16NdavX4/Vq1fjs88+Q1JSEo4ePYqIiAhHxtnh2cx+4pgaIqJmdYLceiEcMqk5CeAcZDcV95vWiWIAfEIB7yCZ1NScctop4G1Oanbt2oX169dj6NCheOihhxAWFobJkydj7ty5DgzPeTTZ++ma7icmNUREtvwA9IXcEfwk5MrE58A1bnTl4Q34R8pkpqZEJjiKIsffOMku4G2Osry8HLGxsQCA0NBQ+Pr6YvTo0Q4LzNlcXXyvcXy/YlAHCnNMDRFR86wL+HWH3A28BPL/N7uA08B14+UPePaWY20unXKqKeB2/c4YDAabf1+795M7qwdQZzP7CQBkUuMNjvInImqNArmWTTDkoOLjkNPAOwHoDLZ260JRAGNnmch0+h64WNzYJWUCPHz1jq5FbU5qhBDo3bs3lMYsrbq6GoMHD7ZJdADg3Llz2kboBCqv+bcvbJMa558gR0TUPgwAukK20pQBOAZOA9ddkyngpR16Cnibk5rMzExHxuHUrEmNUTQ0FqgCKAY0gEkNEZG9PCC7o8wATkOucVMEmdgE6hiXW7NOATeGAJdOA7XlchsGryA50LiDaHNSk5qa6sg4nJo1qfFVt3iXG1oKMKkhIrpR3gBiIFtvTkF2SxVBdlX56ReWe/M2yZ3AjV0aZ0mVyzE4XgF6RwbACcew1tXVYdCgQVAUBQcOHNA7HADXJTXqZpaypYYD3YiIbo4PgF6QC/j1hlzb5hSAWj2DcmeKAfAxA6Z+QGAvWe/VlAEN+n8jTpfUzJ8/H926ddM7DBtXkxqLTVJjHShMREQ3LwDArZDJTRSAs5ADil13z+kOTt0FfIDcBfxKte4rEjtVUvPRRx/hk08+wQsvvKB3KDZsu58sjVPeZNFy1D4RkbaCAQwCMBRyUHEpgO/BDTN14+ULBPSULTeduui6YJ/T9I6Ul5djxowZ2LhxI3x9O9Z0MmtS42dpgNzNxEMdOOVUWSMRkZOw7gYeAtuZUoGQO4NzplQ7s+4CbgzWNQy769za2pb7zEpLS28qmJYIIZCWloaZM2fatQt4XV0dKisrbQ5HaDKmBgAUAxSwpYaIyJGsM6WSACRAJjNFAKr0DIp0Y3dSk5CQ0OwA3Q8++AADBgyw614LFiyAoiitHoWFhVizZg2qqqqwcOFCu+6/fPlydQNOk8mEyMhIuz7fVhWN/yuTmqstNY3/IiIiB7POlEqGHHdTB7n1Qo2OMVH7szupufvuuzF06FA8//zzAICLFy8iLS0NU6ZMwdNPP23XvdLT03Ho0KFWjx49emDHjh3Izc2F0WiEp6cnevbsCQAYMmRIq1PNFy5ciIqKCvUoLi6293HbxNpS46POflKAxm0T2P1ERNR+fAHEQSY3PSD/6CwBcFnPoKjd2D2mZu3atRgzZgymT5+OzZs3o7S0FP7+/vjiiy/Qr18/u+5lNpthNpt/9LqXXnoJf/zjH9XXp0+fRkpKCt555x0kJSW1+Dmj0Qij0fEDlmwHCguZ0CgcKExEpJdAXN1T6hjkIn6e4J5Sru6GvtvRo0djwoQJeOWVV+Dp6YlNmzbZndDYIyoqyua1v78/AOCWW25BRESEw35uW9mOqWkADF7qDt1sqSEi0sf1e0pZkxu/xnP8/2fXY/d3evToUSQnJ2Pz5s3YunUr5s+fjwceeADz589HfX29I2Ls8JqsKKx4qkkNW2qIiPRlABAOOZg4EXL8TTGujock12F3S82gQYMwZswYbN26FUFBQRg1ahTuv/9+TJ06Fdu2bcP+/fsdEaeNmJgYCCEc/nPaKgNATnURul6pAtAAGDzRALbUEBF1JJ6Qi/aFQk7/PgbgJOQeUx1roRC6UXbXuWvXrkV2djaCgoLUc8OGDcP+/fuRkJCgZWxOYwiAu+qr0MVSL2c/KZ4QYEsNEVFH1AlATwDDIAcVV0EmOXV6BkWasLulZsqUKc2eDwgIwLp16246IKcnLIDClhoioo7OH3L6dzjkZpklkH+IcjCx87L7e3vjjTdafE9RlBaTHvchZz+xpYaIyDl0hlyF2DqYuBRyE83O4B+mzsbupGbOnDk2r+vr63Hp0iV4e3vD19eXSY0QgMGgttQwqSEi6vgMALpCzpYqhUxuigGYIBMecg52J6Hnz5+3Oaqrq3H48GHcfvvtePvttx0Ro/O5pqWGWT4RkfPwBBAJuVnmQAAWyG0XLuoZFLWZJnVur169kJGR0aQVx30paAD7ZImInJURwC2QKxP3BlANDiZ2BprVu56enjh9+rRWt3NysqXGS+8wiIjoplgHE3cDcAKyS4qDiTsuu7+TDz/80Oa1EAKlpaV4+eWXMXz4cM0Cc2qKAgv4C09E5CqCIcfWdMPVlYl9wcHEHY3d9e748eNtXiuKArPZjHvuuQerVq3SKi7npngwqSEicjEKrg4mLgNwFFcHE5sa3yd92V3vWiwWR8ThIkTjDt2ypYbdT0RErscTcvq3GXKczXHIwcQhkN1VpB82JmhJNM55YksNEZHLsw4mDoPcbuEkgAuQ42066ReWW2tTvTtv3rw23/DFF1+84WCcnrDIlhooEGBSQ0TkDvwAxEOuTHwCskvKANmSw3qgfbWpvNu6SaWiuHuPogCUq6vTcPAYEZH7sA4m7g6uTKyXNiU1n376qaPjcA2iMalR5K8vVxMmInIvCuQu4NaViTmYuH21OXk8duwYhBCOjMX5CQFAUZMaZuZERO7JA3IwcTKAQQAE5GDiah1jcgdtrnd79eqF77//Xn09adIklJeXOyQo52WBHCjMpIaIiABvAD0gk5s+AGogZ0zV6hmUC2tzvXt9K82WLVtw8SJ3w7BlndLN7iciIrrKOph4KIBoAOcgF/C7omdQLogDs7UkLOqYGgVsqSEiIltBkBtlWgcTl0FODe8M/iGshTYnNYqiNJndxNlO1xOAQa5Rw6SGiIiao0BO9+4MmdQcg+ySCoRMeliz3rg2JzVCCKSlpcFoNAIAamtrMXPmTPj5+dlct379em0jdCZCAPCwjqxh1k1ERC3ygGyxMUN2RR2FHEzcGUCAjnE5szYnNampqTavf/3rX2sejEtQPNWkhi01RET0Y7wBxEBOBS+C7crEPrpF5ZzanNRkZmY6Mg7XYfBgUkNERHbzhZwhZV2Z+BSA85DJjbd+YTkVDhTWWmNLjQJ2PxERkf1MAAZAdk0dh+ya8oJc0I+VdutYPlpT2FJDREQ3R4FsoekMuYjfUcjkxq/xHAcTN49JjaYUwOCBxr26mdQQEdFNMUB2R3XB1W0XiiBnSZn0C6vDYlKjJQUADGgAkxoiItKOF4AoyMHEpyCngRdBdkn5tfI5d8OkRkuKB6AobKkhIiKH6ASgJ4AwyFlSJ3F1MHEnHePqKJjUaEoOD7aABUtERI7jD+BWAN0gZ0oVQ/4hbYZ71z/u/OwOoKgtNSxYIiJytGDI8TXWbRdKIVts3HXbBda9mpKbIzSABUtERO1DgRxrEwJuu8C6V0uNO3SzpYaIiNpbS9suBEMmOO7AacayxsTEqJtqWo+MjAy9w7qGRU1qOKaGiIj0Yt12YRjkuJvLkMnNJR1jai9OVfc+++yzmDFjhvo6IKADbfklROPsJ5nUeOkdDxERuTUfAHGwHUx8DrIlx6hfWA7lVElNQEAAwsLC9A6jeUI0/kN2P7njAC0iIup4AgD0h+yaOgE53sZVZ0o5TfcTAGRkZCAkJASDBw/GypUrceXKFb1DsqUY5AEnK1giInJ5nQEMBjAUcl2bMgDfA2jQMyiNOU2SNnv2bCQkJKBz587Ys2cPFi5ciNLSUrz44ostfqaurg51dXXq68rKSgdHaYB1nDlbaoiIqKNpbqZUCeS6N8Fw/plSujYoLFiwoMng3+uPwsJCAMC8efNw9913Y8CAAZg5cyZWrVqFNWvW2CQt11u+fDlMJpN6REZGOv6h2FJDREQdnHWm1FAACY2viwBU6BmUBhQh1MEg7e7777/H2bNnW72mR48e8Pb2bnL+22+/Rb9+/VBYWIi4uLhmP9tcS01kZCQqKioQGKjtBLf8s1/hB1gQGtwfpwye+Ank4CwiIqKOrgZyrM1xABchu6r8b+A+pwAkQ7YGaamyshImk+lH629du5/MZjPMZvMNffbAgQMwGAwIDW256IxGI4zGdhzjbbi6Tg1baoiIyFn4AOgFuSP4SchWmwtwvj2lnGJMTW5uLvLy8vDTn/4UAQEByM3NxRNPPIFf//rXCA4O1ju8a3CgMBEROS/rnlLXzpQSkMlN0z6Tjscpkhqj0Yjs7GwsXboUdXV1iI2NxRNPPIF58+bpHdp15L5PcrMEIiIi5xQEYCCACMguqdOQCUMXdOzEoSPHpkpISMDevXv1DqMNFFhg3aubiIjIeSmQSUxnAJG4mtz4Qs6U6oj1nFMkNU6jcYduA9hSQ0RErsEAIAxX17Y5CtktFYCONw2cSY2mDGpLDZMaIiJyJZ6Q3VGhsN0wMwiASb+wbDCp0ZgFskmOSQ0REbki64aZXSEX7jsOOWMqRMeYrJjUaKlxOjdbaoiIyNX5AOgJ2TVV1HjojUmNVhSoO3RzTA0REbkLfwDxkNPAywD46RgLkxrNyKFSHChMRETuyAT9x9aw7tWKIpOaBrD7iYiISA+se7XSuJIwW2qIiIj0wbpXK4oCeAWqs5860rx9IiIid8AxNVoxxQO4OqWbiIiI2hdbajQmwEyRiIhID0xqNGYBkxoiIiI9MKnRmAC7n4iIiPTApEZjbKkhIiLSB5MajTGpISIi0geTGo1xoDAREZE+mNQ4AAuViIio/bH+dQAWKhERUftj/esALFQiIqL2x/rXAVioRERE7Y/1rwOwUImIiNof618HYKESERG1P9a/DsBCJSIian+sfzUkAChgoRIREemB9a+GmNQQERHph/WvhiyQBcpCJSIian+sfzVkAVtqiIiI9ML6V0MCbKkhIiLSC+tfDTGpISIi0g/rXw2x+4mIiEg/rH81xJYaIiIi/ThV/fuvf/0LSUlJ8PHxQXBwMMaPH693SDbYUkNERKQfT70DaKsPPvgAM2bMwHPPPYd77rkHV65cwTfffKN3WDbYUkNERKQfp0hqrly5gjlz5mDlypV4+OGH1fPx8fE6RtWUdZ0aRe9AiIiI3JBTNCp8+eWXKCkpgcFgwODBgxEeHo7Ro0f/aEtNXV0dKisrbQ5HsgDwcOhPICIiopY4RVJz7NgxAMDSpUvxhz/8AZs3b0ZwcDDuvvtunDt3rsXPLV++HCaTST0iIyMdGqeAkzR9ERERuSBdk5oFCxZAUZRWj8LCQlgsFgDA73//e/z85z9HYmIiMjMzoSgK3nvvvRbvv3DhQlRUVKhHcXGxw5+JLTVERET60LVhIT09HWlpaa1e06NHD5SWlgKwHUNjNBrRo0cPFBUVtfhZo9EIo9GoSaxtxZYaIiIifehaB5vNZpjN5h+9LjExEUajEYcPH8btt98OAKivr8eJEycQHR3t6DDtwpYaIiIifThFw0JgYCBmzpyJJUuWIDIyEtHR0Vi5ciUAYOLEiTpHZ8spCpSIiMgFOU0dvHLlSnh6emLKlCmoqalBUlISduzYgeDgYL1Ds8GWGiIiIn0oQgihdxDtpbKyEiaTCRUVFQgMDNT03vkADgNIBnCLpncmIiJyb22tv51iSrez4BYJRERE+mEdrCFukUBERKQf1sEa4hYJRERE+mFSoyF2PxEREemHdbCG2P1ERESkH9bBGmJLDRERkX5YB2uISQ0REZF+WAdriN1PRERE+mEdrBEBttQQERHpiXWwRizglG4iIiI9ManRiDWpYYESERHpg3WwRtj9REREpC/WwRpiSw0REZF+WAdriC01RERE+mEdrCEmNURERPphHawhzn4iIiLSD5MaDbGlhoiISD+sgzXEgcJERET6YR2sIbbUEBER6Yd1sIY4noaIiEg/TGo0xMIkIiLSD+thDbEwiYiI9MN6WEPsfiIiItIPkxoNsTCJiIj0w3pYQ2ypISIi0g+TGg0xqSEiItIPkxoNsTCJiIj0w3pYIwrYUkNERKQnJjUaYUJDRESkLyY1GmFBEhER6Yt1sUbYUkNERKQvp0hqcnJyoChKs0d+fr7e4QFwkoIkIiJyYZ56B9AWw4YNQ2lpqc25RYsWYfv27RgyZIhOUdlSAHTWOwgiIiI35hRJjbe3N8LCwtTX9fX1+Oc//4nf/e53UJSO0fGTAHZBERER6ckpkprrffjhhzh79ix+85vftHpdXV0d6urq1NeVlZUOi4kJDRERkb6ccijIunXrkJKSgoiIiFavW758OUwmk3pERka2U4RERETU3nRNahYsWNDiAGDrUVhYaPOZU6dOYevWrXj44Yd/9P4LFy5ERUWFehQXFzvqUYiIiEhnunY/paenIy0trdVrevToYfM6MzMTISEheOCBB370/kajEUaj8WZCJCIiIieha1JjNpthNpvbfL0QApmZmZg6dSq8vLwcGBkRERE5G6caU7Njxw4cP34c06dP1zsUIiIi6mCcKqlZt24dhg0bhj59+ugdChEREXUwTjWl+3//93/1DoGIiIg6KKdqqSEiIiJqCZMaIiIicglMaoiIiMglMKkhIiIil8CkhoiIiFwCkxoiIiJyCU41pftmCSEAOHa3biIiItKWtd621uMtcaukpqqqCgC4WzcREZETqqqqgslkavF9RfxY2uNCLBYLTp8+jYCAACiKotl9KysrERkZieLiYgQGBmp2X2fi7mXg7s8PsAzc/fkBloG7Pz/guDIQQqCqqgrdunWDwdDyyBm3aqkxGAyIiIhw2P0DAwPd9hfZyt3LwN2fH2AZuPvzAywDd39+wDFl0FoLjRUHChMREZFLYFJDRERELoFJjQaMRiOWLFkCo9Godyi6cfcycPfnB1gG7v78AMvA3Z8f0L8M3GqgMBEREbkuttQQERGRS2BSQ0RERC6BSQ0RERG5BCY1RERE5BKY1NyEEydO4OGHH0ZsbCx8fHxwyy23YMmSJbh8+bLNdV9//TXuuOMOdOrUCZGRkVixYoVOETvGn/70JwwbNgy+vr4ICgpq9pqioiKMGTMGvr6+CA0NxVNPPYUrV660b6AO9Ne//hUxMTHo1KkTkpKS8MUXX+gdkkPs2rULY8eORbdu3aAoCjZu3GjzvhACixcvRnh4OHx8fDBy5Eh89913+gTrAMuXL8dPfvITBAQEIDQ0FOPHj8fhw4dtrqmtrcWsWbMQEhICf39//PznP0d5eblOEWvvlVdewYABA9TF1ZKTk/HRRx+p77v6818vIyMDiqJg7ty56jlXL4OlS5dCURSbo0+fPur7ej4/k5qbUFhYCIvFgldffRXffvst/vznP+Nvf/sbnn76afWayspK3HvvvYiOjkZBQQFWrlyJpUuX4rXXXtMxcm1dvnwZEydOxKOPPtrs+w0NDRgzZgwuX76MPXv24PXXX0dWVhYWL17czpE6xjvvvIN58+ZhyZIl+PLLLzFw4ECkpKTgzJkzeoemuYsXL2LgwIH461//2uz7K1aswEsvvYS//e1vyMvLg5+fH1JSUlBbW9vOkTrGzp07MWvWLOzduxfbtm1DfX097r33Xly8eFG95oknnsCmTZvw3nvvYefOnTh9+jQmTJigY9TaioiIQEZGBgoKCrBv3z7cc889GDduHL799lsArv/818rPz8err76KAQMG2Jx3hzK49dZbUVpaqh6ff/65+p6uzy9IUytWrBCxsbHq67Vr14rg4GBRV1ennvvv//5vERcXp0d4DpWZmSlMJlOT81u2bBEGg0GUlZWp51555RURGBhoUy7O6rbbbhOzZs1SXzc0NIhu3bqJ5cuX6xiV4wEQGzZsUF9bLBYRFhYmVq5cqZ67cOGCMBqN4u2339YhQsc7c+aMACB27twphJDP6+XlJd577z31mkOHDgkAIjc3V68wHS44OFj8/e9/d6vnr6qqEr169RLbtm0Td911l5gzZ44Qwj1+B5YsWSIGDhzY7Ht6Pz9bajRWUVGBzp07q69zc3Nx5513wtvbWz2XkpKCw4cP4/z583qE2O5yc3PRv39/dO3aVT2XkpKCyspK9a87Z3X58mUUFBRg5MiR6jmDwYCRI0ciNzdXx8ja3/Hjx1FWVmZTFiaTCUlJSS5bFhUVFQCg/jdfUFCA+vp6mzLo06cPoqKiXLIMGhoakJ2djYsXLyI5Odmtnn/WrFkYM2aMzbMC7vM78N1336Fbt27o0aMHJk+ejKKiIgD6P79bbWjpaEeOHMGaNWvwwgsvqOfKysoQGxtrc521ci8rK0NwcHC7xqiHsrIym4QGsC0DZ/bDDz+goaGh2ecrLCzUKSp9WL/L5srC2b/n5lgsFsydOxfDhw9Hv379AMgy8Pb2bjK2zNXK4ODBg0hOTkZtbS38/f2xYcMGxMfH48CBA27x/NnZ2fjyyy+Rn5/f5D13+B1ISkpCVlYW4uLiUFpaimeeeQZ33HEHvvnmG92fny01zViwYEGTQVDXH9dXWCUlJbjvvvswceJEzJgxQ6fItXMjZUDkTmbNmoVvvvkG2dnZeofS7uLi4nDgwAHk5eXh0UcfRWpqKv7973/rHVa7KC4uxpw5c/DWW2+hU6dOeoeji9GjR2PixIkYMGAAUlJSsGXLFly4cAHvvvuu3qGxpaY56enpSEtLa/WaHj16qP8+ffo0fvrTn2LYsGFNBgCHhYU1GfVtfR0WFqZNwA5gbxm0JiwsrMlsIGcog7bo0qULPDw8mv2Onf3Z7GV93vLycoSHh6vny8vLMWjQIJ2icozHH38cmzdvxq5duxAREaGeDwsLw+XLl3HhwgWbv1Rd7ffB29sbPXv2BAAkJiYiPz8fq1evxqRJk1z++QsKCnDmzBkkJCSo5xoaGrBr1y68/PLL2Lp1q8uXwfWCgoLQu3dvHDlyBKNGjdL1+dlS0wyz2Yw+ffq0eljHyJSUlODuu+9GYmIiMjMzYTDYFmlycjJ27dqF+vp69dy2bdsQFxfXobue7CmDH5OcnIyDBw/azAbatm0bAgMDER8f76hHaBfe3t5ITEzE9u3b1XMWiwXbt29HcnKyjpG1v9jYWISFhdmURWVlJfLy8lymLIQQePzxx7Fhwwbs2LGjSddyYmIivLy8bMrg8OHDKCoqcpkyaI7FYkFdXZ1bPP+IESNw8OBBHDhwQD2GDBmCyZMnq/929TK4XnV1NY4ePYrw8HD9fwccPhTZhZ06dUr07NlTjBgxQpw6dUqUlpaqh9WFCxdE165dxZQpU8Q333wjsrOzha+vr3j11Vd1jFxbJ0+eFPv37xfPPPOM8Pf3F/v37xf79+8XVVVVQgghrly5Ivr16yfuvfdeceDAAfHxxx8Ls9ksFi5cqHPk2sjOzhZGo1FkZWWJf//73+KRRx4RQUFBNrO9XEVVVZX6/QIQL774oti/f784efKkEEKIjIwMERQUJP75z3+Kr7/+WowbN07ExsaKmpoanSPXxqOPPipMJpPIycmx+e/90qVL6jUzZ84UUVFRYseOHWLfvn0iOTlZJCcn6xi1thYsWCB27twpjh8/Lr7++muxYMECoSiK+OSTT4QQrv/8zbl29pMQrl8G6enpIicnRxw/flzs3r1bjBw5UnTp0kWcOXNGCKHv8zOpuQmZmZkCQLPHtb766itx++23C6PRKLp37y4yMjJ0itgxUlNTmy2DTz/9VL3mxIkTYvTo0cLHx0d06dJFpKeni/r6ev2C1tiaNWtEVFSU8Pb2FrfddpvYu3ev3iE5xKefftrsd52amiqEkNO6Fy1aJLp27SqMRqMYMWKEOHz4sL5Ba6il/94zMzPVa2pqasRjjz0mgoODha+vr3jwwQdt/tBxdtOmTRPR0dHC29tbmM1mMWLECDWhEcL1n7851yc1rl4GkyZNEuHh4cLb21t0795dTJo0SRw5ckR9X8/nV4QQwvHtQURERESOxTE1RERE5BKY1BAREZFLYFJDRERELoFJDREREbkEJjVERETkEpjUEBERkUtgUkNEREQugUkNEd2wnJwcKIqCCxcuAACysrKa7M6rtbS0NIwfP/6GP399zO3Juhnsj5XR0qVL23W/rKVLl6qx/eUvf2m3n0ukNSY1RB1AWloaFEVBRkaGzfmNGzdCURSdorLfpEmT8J///Ee3n28tx5aOmJgYDBs2DKWlpTCZTLrEmJmZqWsZNefJJ59EaWmpzeacRM6ISQ1RB9GpUyc8//zzOH/+vKb3vXz5sqb3a42Pjw9CQ0Pb7eddb/Xq1SgtLVUPQCYR1tf5+fnw9vZGWFiYbsliUFCQrmXUHH9/f4SFhcHDw0PvUIhuCpMaog5i5MiRCAsLw/Lly1u97oMPPsCtt94Ko9GImJgYrFq1yub9mJgYLFu2DFOnTkVgYCAeeeQRtVto8+bNiIuLg6+vL37xi1/g0qVLeP311xETE4Pg4GDMnj0bDQ0N6r3efPNNDBkyBAEBAQgLC8OvfvUrm93Wr3d991NMTEyzLSZWxcXFeOihhxAUFITOnTtj3LhxOHHihPp+Q0MD5s2bh6CgIISEhGD+/PlobWcXk8mEsLAw9QBkEmF9bTabW+wys7ds6urq8OSTT6J79+7w8/NDUlIScnJyWvvqWpSRkYGuXbsiICAADz/8MGpra23ez8/Px6hRo9ClSxeYTCbcdddd+PLLL9X3p02bhp/97Gc2n6mvr0doaCjWrVsHAHj//ffRv39/+Pj4ICQkBCNHjsTFixdvKF6ijopJDVEH4eHhgeeeew5r1qzBqVOnmr2moKAADz30EP7rv/4LBw8exNKlS7Fo0SJkZWXZXPfCCy9g4MCB2L9/PxYtWgQAuHTpEl566SVkZ2fj448/Rk5ODh588EFs2bIFW7ZswZtvvolXX30V77//vnqf+vp6LFu2DF999RU2btyIEydOIC0trc3PlJ+fr7aSnDp1CkOHDsUdd9yh3jslJQUBAQH47LPPsHv3bvj7++O+++5TW5dWrVqFrKws/OMf/8Dnn3+Oc+fOYcOGDXaUatvcSNk8/vjjyM3NRXZ2Nr7++mtMnDgR9913H7777ju7fva7776LpUuX4rnnnsO+ffsQHh6OtWvX2lxTVVWF1NRUfP7559i7dy969eqF+++/H1VVVQCA6dOn4+OPP1ZbpwBg8+bNuHTpEiZNmoTS0lL88pe/xLRp03Do0CHk5ORgwoQJrSaIRE6pXbbNJKJWpaaminHjxgkhhBg6dKiYNm2aEEKIDRs22Oz6/qtf/UqMGjXK5rNPPfWUiI+PV19HR0eL8ePH21xj3VH+2p10f/vb3wpfX19RVVWlnktJSRG//e1vW4wzPz9fAFA/Y921+/z58+rPMZlMzX529uzZIjo6Wpw5c0YIIcSbb74p4uLihMViUa+pq6sTPj4+YuvWrUIIIcLDw8WKFSvU9+vr60VERIRaVj8GgNiwYYPNueZitrdsTp48KTw8PERJSYnNvUeMGCEWLlxoVzzJycniscceszmXlJQkBg4c2OJ9GhoaREBAgNi0aZN6Lj4+Xjz//PPq67Fjx4q0tDQhhBAFBQUCgDhx4kSL9xRC/u78+c9/bvUaoo6MLTVEHczzzz+P119/HYcOHWry3qFDhzB8+HCbc8OHD8d3331n0zUyZMiQJp/19fXFLbfcor7u2rUrYmJi4O/vb3Pu2u6lgoICjB07FlFRUQgICMBdd90FACgqKrLrmV577TWsW7cOH374IcxmMwDgq6++wpEjRxAQEAB/f3/4+/ujc+fOqK2txdGjR1FRUYHS0lIkJSWp9/H09Gz22W6WvWVz8OBBNDQ0oHfv3mrs/v7+2LlzJ44ePWrXzz506JDNMwJAcnKyzevy8nLMmDEDvXr1gslkQmBgIKqrq22+h+nTpyMzM1O9/qOPPsK0adMAAAMHDsSIESPQv39/TJw4Ef/zP/+j+dgtoo7AU+8AiMjWnXfeiZSUFCxcuNCurp5r+fn5NTnn5eVl81pRlGbPWSwWAMDFixeRkpKClJQUvPXWWzCbzSgqKkJKSopdg48//fRT/O53v8Pbb7+NAQMGqOerq6uRmJiIt956q8lnrIlPe7G3bKqrq+Hh4YGCgoImg2uvTYS0kpqairNnz2L16tWIjo6G0WhEcnKyzfcwdepULFiwALm5udizZw9iY2PVrj4PDw9s27YNe/bswSeffII1a9bg97//PfLy8hAbG6t5vER6YVJD1AFlZGRg0KBBiIuLsznft29f7N692+bc7t270bt3b81nrhQWFuLs2bPIyMhAZGQkAGDfvn123ePIkSP4xS9+gaeffhoTJkyweS8hIQHvvPMOQkNDERgY2Oznw8PDkZeXhzvvvBMAcOXKFRQUFCAhIeEGnkg7gwcPRkNDA86cOaMmDjeqb9++yMvLw9SpU9Vze/futblm9+7dWLt2Le6//34AcoD1Dz/8YHNNSEgIxo8fj8zMTOTm5uI3v/mNzfuKomD48OEYPnw4Fi9ejOjoaGzYsAHz5s27qfiJOhJ2PxF1QP3798fkyZPx0ksv2ZxPT0/H9u3bsWzZMvznP//B66+/jpdffhlPPvmk5jFERUXB29sba9aswbFjx/Dhhx9i2bJlbf58TU0Nxo4di8GDB+ORRx5BWVmZegDA5MmT0aVLF4wbNw6fffYZjh8/jpycHMyePVsdKD1nzhxkZGRg48aNKCwsxGOPPabLonnX6927NyZPnoypU6di/fr1OH78OL744gssX74c//rXv+y615w5c/CPf/xDXb9myZIl+Pbbb22u6dWrF958800cOnQIeXl5mDx5Mnx8fJrca/r06WrXZWpqqno+Ly9PHYhcVFSE9evX4/vvv0ffvn1vrACIOigmNUQd1LPPPqt2d1glJCTg3XffRXZ2Nvr164fFixfj2WefveFuqtaYzWZkZWXhvffeQ3x8PDIyMvDCCy+0+fPl5eUoLCzE9u3b0a1bN4SHh6sHIMex7Nq1C1FRUZgwYQL69u2rTme2ttykp6djypQpSE1NRXJyMgICAvDggw9q/qw3IjMzE1OnTkV6ejri4uIwfvx45OfnIyoqyq77TJo0CYsWLcL8+fORmJiIkydP4tFHH7W5Zt26dTh//jwSEhIwZcoUzJ49u9m1bkaOHInw8HCkpKSgW7du6vnAwEDs2rUL999/P3r37o0//OEPWLVqFUaPHn1jD0/UQSlCcE4fEVF7UBQFGzZsuKltHlpTXV2N7t27IzMzs0l3X1vExMRg7ty5mDt3rvbBEbUDttQQEbWjX/7yl5pvR2CxWHDmzBksW7YMQUFBeOCBB+z6/HPPPQd/f3+7Z7URdTRsqSEiaidHjhwBIGcjaTnr6MSJE4iNjUVERASysrIwYsQIuz5/7tw5nDt3DoDsdtRrXyyim8WkhoiIiFwCu5+IiIjIJTCpISIiIpfApIaIiIhcApMaIiIicglMaoiIiMglMKkhIiIil8CkhoiIiFwCkxoiIiJyCUxqiIiIyCX8P4LHL0/svuTvAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sn = SN(name=\"SN2020rsc\")\n", "\n", "model.fit_photometry(\n", " sn_to_fit=sn, \n", " filters_to_fit=[\"g\", \"r\"],\n", " show=True,\n", " nsamples=1\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7. Predict photometry for a `SN` outside its data range\n", "\n", "Finally, `SNModel` can be used to generate new synthetic photometry that is _outside_ a `SN` object's coverage in phase or wavelength. This is done by taking advantage of the `fit_photometry` method. This method has a flag `keep_new_fit` which, if set to True, uses the generated GPR fit to the input photometry for all future method calls of this class instance. \n", "\n", "Let's see an example of this. We'll load the `SNModel` object for Type IIb SNe, then fit the Type IIb SN 2020rsc again. This object only has data in the optical (g- through i-band) is missing data in the Swift filters; however, using the `SNModel` object fit to the object's photometry, we can predict a missing filter's photometry:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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t26Bnz57o27cv1q9fj/Xr1yMsLMw4MwcQf51Pnz4dX3/9NY4ePdro8RdP376Y4a/7hrWXlpZi9erVja718vIy6z0CxHtZV1fX6LyhRaPhzC9DgPn4448bXevq6mqcpq9SqTB+/Hh8/vnnKCsrM1733//+F+Xl5SaLKt5www3Q6XRYtWqV8VxNTQ1Wr16NYcOGtThj7K+//kJaWhrmzJmDG264odFhaKUzBDVzjRs3Dq6uro2WJnj33XcbXVtYWGhy29vbG/Hx8SbdfZb83gKilWzAgAH49NNPTR5z9OhR/P7777j66qvN/Eku7eL6FQoFevXqBUmSmvy9IOfDFiGiCz755BNs2LCh0fkHH3ywyev/85//YOrUqRgxYgTmzJmD4uJivPvuu+jTp0+zWzdcSmJiIgDg3//+NyZOnAgXFxeTVpeGfH198cYbb2DevHkYMmQIbr31Vvj7++PQoUOorKw0TrWeN28evvrqK0yaNAk33XQTUlNT8fnnnxtblCwxY8YMPPPMM8Z1cC5ecHD58uXYvHkzhg0bhrvuugu9evVCUVER9u/fjz/++ANFRUXNPveECROgUCgwZcoU/Otf/0J5eTk+/PBDBAcHN+paSkxMxAcffIAXXngB8fHxCA4ONo5VutiWLVuM06e7deuG2tpabN++Hd988w0GDx6M22+/3XjtwIEDceedd+KTTz6BVqvFmDFjsGXLFnz55ZdYvHixSTfWiy++iOHDh2PMmDG4++67kZGRgddeew0TJkzApEmTjNcNGzYMN954IxYvXoy8vDzEx8fj008/RVpaWqPAdbEvvvgCLi4umDx5cpP3X3vttXjyySexbt06LFiwoMXnaigkJAQPPvggXnvtNVx77bWYNGkSDh06hF9//RVBQUEmLTy9evXC2LFjkZiYiICAAOzduxdfffUV7r//fuM1lvzeGrzyyiu46qqrkJSUhLlz5xqnz6tUKqtu1zFhwgSEhoZixIgRCAkJwYkTJ/Duu++aDD4nJ2ev6WpEjsIw5bi54/z5801On5ckSVq3bp2UkJAgKZVKqU+fPtIPP/wgTZ8+XUpISDBeY3jsK6+80ui1AUhLliwx3tZqtdIDDzwgqdVqSSaTmTWV/ocffpCGDx8ueXh4SL6+vtLQoUOl//3vfybXvPbaa1JERISkVCqlESNGSHv37m12+vyXX37Z7GudPn3a+L7s2LGjyWtyc3Ol+fPnS1FRUZKbm5sUGhoqjRs3Tlq1apVZP0u/fv0kd3d3qUuXLtJLL70kffLJJxIA6ezZs8brcnJypMmTJ0s+Pj4SgBan0qekpEgzZ86U4uLiJA8PD8nd3V3q3bu3tGTJEqm8vLzR9bW1tdLSpUulmJgYyc3NTYqPj5feeOONJp97+/bt0vDhwyV3d3dJrVZL8+fPN05xb6iqqkpatGiRFBoaKimVSmnIkCHShg0bWnwvamtrpcDAQGnUqFEtXhcbGysNHDhQkqTml4Iw/LdtuFyAVquVnn76aSk0NFTy8PCQrrjiCunEiRNSYGCgdM899xive+GFF6ShQ4dKfn5+koeHh5SQkCC9+OKLUm1trclzNfV729LvviRJ0h9//CGNGDHC+Ls7ZcoU6fjx4ybXGKbP5+fnm5yfNWuW5OXl1eg5x4wZYzJdfuXKldLo0aOlwMBASalUSl27dpUeeeQRqbS0tKW3lZyITJIcaMMaok5gwIABUKvVrdpUk8ieSkpK4O/vjxdeeMG4WCVRZ8cxQkStVFdXB61Wa3Juy5YtOHToUKu2fCBqT02tX/Tmm28CAH9/yamwRYioldLS0jB+/HjcfvvtCA8Px8mTJ7FixQqoVCocPXoUgYGB9i6RqFlr1qzBmjVrcPXVV8Pb2xs7duzA//73P0yYMAG//fabvcsjajccLE3USv7+/khMTMRHH32E/Px8eHl5YfLkyVi+fDlDEDm8fv36wdXVFS+//DI0Go1xAPULL7xg79KI2hVbhIiIiMhpcYwQEREROS0GISIiInJaHCN0CXq9HllZWfDx8bHKsv5ERERke5IkoaysDOHh4Y0Wf22IQegSsrKyWlwCn4iIiBzX+fPnERkZ2ez9DEKXYFiC/fz58yYbJhIREZHj0mg0iIqKuuRWKgxCl2DoDvP19WUQIiIi6mAuNayFg6WJiIjIaTEIERERkdNiECIiIiKnxSBERERETotBiIiIiJwWgxARERE5LQYhIiIicloMQkREROS0GISIiIjIaTEIERERkdPqcEHovffeQ5cuXeDu7o5hw4Zhz549zV67Zs0ayGQyk8Pd3b0dqyUiIiJH1qGC0Pr167FgwQIsWbIE+/fvR//+/TFx4kTk5eU1+xhfX19kZ2cbj3PnzrVjxUREROTIOlQQev3113HXXXdhzpw56NWrF1asWAFPT0988sknzT5GJpMhNDTUeISEhLRjxW2j09m7AiIios6twwSh2tpa7Nu3D+PHjzeek8vlGD9+PHbt2tXs48rLyxETE4OoqChMnToVx44da49y20SSgDNngIMHgdOngZIScY6IiIisq8MEoYKCAuh0ukYtOiEhIcjJyWnyMT169MAnn3yC77//Hp9//jn0ej2GDx+OjIyMZl+npqYGGo3G5GhPkgScPQsUF4vbGg2QmgocPQrk5gJabbuWQ0RE1Kl1mCDUGklJSZg5cyYGDBiAMWPG4JtvvoFarcbKlSubfcyyZcugUqmMR1RUVLvVK0lAWpoIQTIZ0KULEBoKuLoCtbVARgZw5Ahw7hxQWdluZREREXVaHSYIBQUFwcXFBbm5uSbnc3NzERoaatZzuLm5YeDAgUhJSWn2msWLF6O0tNR4nD9/vk11m0uSRMApKhIhKC4OCAwEIiKAvn2BmBjA0xPQ64GCAuDECeDUKaCurl3KIyIi6pQ6TBBSKBRITEzEpk2bjOf0ej02bdqEpKQks55Dp9PhyJEjCAsLa/YapVIJX19fk6M9pKcDhYUiBMXGAn5+9ffJ5UBQENCzJ9CjBxAQIK4rKxPdZnp9u5RIRETU6bjauwBLLFiwALNmzcLgwYMxdOhQvPnmm6ioqMCcOXMAADNnzkRERASWLVsGAHjuuedw2WWXIT4+HiUlJXjllVdw7tw5zJs3z54/RiPp6aKVBxAhyN+/+Wu9vcURFgacPAlUVIjHd+nSLqUSERF1Kh0qCM2YMQP5+fl45plnkJOTgwEDBmDDhg3GAdTp6emQy+sbuYqLi3HXXXchJycH/v7+SExMxM6dO9GrVy97/QiNpKcD+fni+0uFoIbc3UX32enToiXJ0xMIDrZdnURERJ2RTJI4MbslGo0GKpUKpaWlVu8mO38eMKwF2aWLGBNkqdxcMYgaALp1A9qpJ4+IiMihmfv53WHGCHU2GRn1ISgmpnUhCABCQuofe+YMUFNjnfqIiIicAYOQnRh68GJixEDotoiOBry8xErUKSlckZqIiMhcDEJ2Eh4OJCS0PQQBIlR17Qq4uQHV1WJBRnZ4EhERXRqDkB15eVnvudzcRBiSyYDSUiAry3rPTURE1FkxCHUiXl710+hzcsTijERERNQ8BqFOJiBADKAGxErV1dX2rYeIiMiRMQh1QhERgI+PWHG6nXYIISIi6pAYhDohmUzMRpPJxO71hp3siYiIyBSDUCelVIptOADRKsQp9URERI0xCHViISEiENXVAdnZ9q6GiIjI8TAIdWJyuVhsERCrWFdV2bceIiIiR8Mg1Mn5+oqNXCVJbPBKRERE9RiEnEBkpGgdKi8XO9UTERGRwCDkBBQKsaUHIDZ71WrtWw8REZGjYBByEsHBgIeHCEGZmfauhoiIyDEwCDkJmax+4HRBAVBRYd96iIiIHAGDkBPx9gYCA8X36encoZ6IiIhByMlERgIuLkBlJZCfb+9qiIiI7ItByMm4uoq9yAAgK0sstkhEROSsGIScUFAQ4OUltt3g2kJEROTMGIScUMNNWUtKxEFEROSMXO1dALVMkiQUV9bhbEHFhaMcaQWVOFNQAUmS8O6tAxEf7GPx83p4AKGhYg+y9HTAx0eMHSIiInImDEIOasfpAry2MRln8itQWtX8QJ65n+7F9/NHwM9TYfFrhIYCxcVAdbVYaDEmpi0VExERdTwMQg7qpQ0ncSSz1Hg7XOWOWLUXugR6ITbIC1EBnnj+p+M4V1iJ+Wv3Y82coXBzsaynUy4X4Sc5WawtFBAgWoaIiIicBYOQA8ourcKRzFLIZMDX9w5Hz1BfeCga91tFB3hi+gc78VdKIV746TiendrH4tfy9gbUajGV/tw5oFcvEZCIiIicAT/yHNAfx3MBAIOi/TEo2r/JEAQAPcN88caMAQCAT3edwxe7z7Xq9SIiADc3oKZGjBkiIiJyFgxCDmjjiTwAwJW9Qi557cTeoVg0oTsAYMn3x7Ar1fLt5V1c6rffyM0Viy0SERE5AwYhB1NWXYddqQUAzAtCADD/8nhM6R8OrV7CfV/sQ3qh5UnGzw/w9xfbbpw7x+03iIjIOTAIOZitp/JRp5MQp/ZCV7W3WY+RyWR45YZ+6BepQnFlHe76bC/Ka7QWv3ZUVP32G3l5Fj+ciIiow2EQcjAbL4wPurKnea1BBu5uLlh1x2AE+yiRnFuGh9YdgE5vWbOOm5vYiwwQ22/U1Fj0cCIiog6HQciB1On02HzS/PFBFwtVuWPVzMFQuMrxx4k8vPp7ssXPERQkptDr9aKLjIiIqDNjEHIg/5wtgqZai0AvBQZG+7fqOQZE+eHl6f0AAB9sSW3V4OmYGDGFvqwMyMlpVRlEREQdAoOQA/n9QrfYFQnBcJHLWv081w2MwK3DxDSw//xyAnoLu8iUSjFeCAAyM0UgIiIi6owYhByEJEn144Na0S12sYVXdoe30hVHMkvxw6Esix8fFAQEBorvz5wB6prf5YOIiKjDYhByECdzypBZUgV3NzlGdVO3+fkCvZW4d2xXAMArvyWjuk5n8XNER4vNWbVaEYY4pZ6IiDobBiEHYWgNGhmvbnYlaUvNHRmLMJU7MkuqsPqvNIsfL5cDcXFiSn15uZhJRkRE1JkwCDmI+m6xYKs9p7ubCx6Z2AMA8P7mFBSWWz4f3t29flf6nBygpMRq5REREdkdg5ADaLjJ6hUJbR8f1NB1AyLQO9wXZTVavPNnSquew98fCL6Qz9LSuL4QERF1HgxCDuCPC3uLDYr2h9pHadXnlstlePLqngCAz/8+hzP55a16nshIwMsL0OnEeCG93ppVEhER2QeDkAMwdIuNt3A1aXMNjw/CuIRgaPUSXtpwslXPIZOJ8UKurmILjowMKxdJRERkB672LsDZtWaT1dZ4/KoEbE7Ow2/HcrHnbBGGxgZY/BwKBRAbC5w+DeTnA97eQIDlT0NEDk6SLDsaPkavb/r7pq5v7mtLr9NSzS19vZhM1vT3lyKT1V9v+L7h7ZaeXyYTk1AaPq6po6nnNjzuUl/JcgxCdrbtVIHYZDXIC/HB5m2y2hrdQnxw89BorN2djhd/Po5v7xsBeSsWbfT1BcLCgOxsMV7IxQVQqaxfLxEJhjCh19cfOp3p7YbnLg4hF58zHBffbngddVwNA1TD0CWXm4ampo6mrmt4zsWl6e87OgYhO9t4XOxhYcvWIIOHxnfD9wcycSijFD8dyca1/cNb9TxhYUB1NVBcDKSmilYi/9btCELUaeh0jQNKS4Gl4fVNPdYQVByBOa0WFx8Xfwg31XLS1NdLtYw0vL65Wlv62jDoXfz9pVpUmmoBu/j75l6juVauiwNocy1tTYVbw9fmatRZvnxcqxiCUUshy8Wl/mjqtlIphl7YA4OQHdXp9Pjzwiar49shCAX7uOOeMV3x2sZTeOnXk5jQKwTubpavWSSTifAjkwFFRcDZs+J/PHaTUUckSeIDQ6utDyTNhZSL7294tIeL/xJv6q/zprpLmvrrvrkWguZCDzmui7sgm7t9cShvroWwpcc0DOwNX7+toT06GlC3fS3hVmEQsqOGm6wOauUmq5aaNyoOn+8+h8ySKny2Kw13j+7aqueRyYAuXcTXwsL6MGTYloOovWm19UfDgNLc7YbnrcUQKi4VVi7+q7i5x1zcVUHUFHt1TzXX6tnU0dQfEw1v26s1CGAQsquNJ6yzyaolPBQuWDShBx756jDe+TMFNyZGwd9L0arnMoQhuVwMnk5LE7/Y9kr11Hno9abBpqWjrk78Q9rWsS2GUOLq2nRIaapJ/+KjM4yXIDIXxwhRmzTcZLU9usUamjYoEh/vOIuTOWX4YGsqnriwzlBrRUeLUJSXB6Sniw+kYOstkE2diCG4XOpobTO7Icg0DDUNg4rh9sVfDeMbiMj5MAjZycmcMmQUV0HpKseobkEWPbauDjh3DqioALp2FdPYLeEil+GxqxIwZ/U/WLMzDbOGd0GEn4dlT3KRqCjxl0FODnD+vPggCw1t01NSB6LXA7W1YtXxlgKOJa02MpkIKpc63Nzqv2eYISJLMQjZiaE1aFS3IHgqzP/PUFIiQpBWK26npgIJCWLEvSXGdldjWGwAdp8twpsbT+GVG/tb9gRNiIgQYSgrC8jMFDVGRPDDqTOoqxNBp7nD8PtoDkN4aekwtNQQEdkag5CdpF7Y6sLcafN6vVjNOT9f3Pb0FF8rK0UY6tHDsg8OmUyGx69KwPXv78TX+zMwb1QceoT6WPIjNCksTASfzEwgNxcoKxPjiDza1uBENqbVitac6mrx9eKgY05LjouLWHRToWg55DAYE5EjkUkSl89qiUajgUqlQmlpKXx9fa363OeLKqHydIOvu1uL11VVif29qqvF7ZAQ0dKi1QInToi/1lUq0U1m6YfMPf/dhw3HcjC+ZzA+mjWklT9JY8XFYryQVitqCg8XdfND0H7q6kTIMRyG0FNTY97MKUPIae5gCw4RORJzP7873Hjv9957D126dIG7uzuGDRuGPXv2tHj9l19+iYSEBLi7u6Nv37745Zdf2qnSS4sK8LxkCMrNFWGnulr8Nd2tm9gAVSYTt7t2Fd1RpaWiFcZSj0zqARe5DH+cyMM/aUWt/Eka8/cHevUC/PxEa0JmJpCcXB/myDbq6oDycqCgQLznZ86I35+DB4HDh8V/g7Q0sTJ4cbFoUTSEIIUC8PEBgoJEcI2NFS2NffsCgwaJrz16iPMREWJ2oEolWvsYgoioo+pQXWPr16/HggULsGLFCgwbNgxvvvkmJk6ciOTkZAQ3MU1p586duOWWW7Bs2TJcc801WLt2La677jrs378fffr0scNPYD6tVqzNo9GI2yqV6GK6eK0FLy9x/swZEZrc3cUHmbm6qr1x0+BI/G/PeSz/9SS+uicJMis12xiCWmGhGEBdUSE+lA2tQ9Q6en19i47hMNy+VMuOQiHGk7m7i68Nj84wDZaIyFIdqmts2LBhGDJkCN59910AgF6vR1RUFB544AE8/vjjja6fMWMGKioq8NNPPxnPXXbZZRgwYABWrFhh1mvasmusJWlpIkDI5aIF6FJr82Rlib/yZTKge3fLZpLllFZj7KubUV2nx4czB9tku4/aWjHI2xDsvL2BmBjxgUxNkyQRbqqqxGH4vqam5ccpFKZBp+H37JokImdh7ud3h2kRqq2txb59+7B48WLjOblcjvHjx2PXrl1NPmbXrl1YsGCBybmJEyfiu+++a/Z1ampqUNPgk0Zj+ORuZ+ViLDViY0X30qWEh5vu/2XJTLJQlTvmjIjFB1tS8fKGkzZZ4FGhEN16+fli0Hd5OXDsmNjENTjYuTdu1etNW3cMoaempvlByi4uIuAYjoaBhy07RETm6zBBqKCgADqdDiEX9amEhITg5MmTTT4mJyenyetzcnKafZ1ly5bh2WefbXvBbWDo+gAsa9np0kU8rrISSEkRYcjcsRv3jOmKtbvTcTqvHF/vz8BNg6MsrtscarUIPxkZYikAjUYcSqW4Lyio84430etNW3Yadms1x8VFjMHx8BBBx/DVreWhZUREZKYOE4Tay+LFi01akTQaDaKibBMKmlNVJb4a1lMxl1wOxMfXD64+e9b8mWQqDzfMv7wr/vPLSbyx8RSu7R/eqg1ZzaFUirpqakQLUUGB+D4jQ3TxBQaKVqKO2m2m0zVu3amqEt2DzXF1rW/daRh6GHiIiGyrwwShoKAguLi4IDc31+R8bm4uQptZwjg0NNSi6wFAqVRCaenqhFZWWSm+tmbtHTc3EYaSk8VMsuJi83eFn5nUBWv+SkNWaXWbNmQ1l1Ipxj+Fh4td7PPyRGDIzxeHu7uYxeTtLQ5F67ZEs4mGA5YvnopeV9f849zcTMOO4Xt7bjhIROTMOsw/vwqFAomJidi0aROuu+46AGKw9KZNm3D//fc3+ZikpCRs2rQJDz30kPHcxo0bkZSU1A4Vt56hRciwaKKlPD3FwoaZmaKFxd/fvFYhdzcXPHRldzz61WG8tzkVM4ZEQ+Vh+yYJuVx0iQUFiQUY8/JEt5mhVcWwiKRCUR+KvL1tOx7GsGWEYduIi79vKewAjQOP4SsDDxGRY+lQ/ywvWLAAs2bNwuDBgzF06FC8+eabqKiowJw5cwAAM2fOREREBJYtWwYAePDBBzFmzBi89tprmDx5MtatW4e9e/di1apV9vwxLskQhNqyGrNaLabT19SI1pbAQPMeN31QJD7afgancsuxYmsqHpuU0PoiWsHHRxxarRhQbTgqK0UAKSoSh4GLS/NbNMhk9YONGw46liRxaLWiG6vhTuaG2+YsMOjq2nhmluFrZx3nRETU2XSoIDRjxgzk5+fjmWeeQU5ODgYMGIANGzYYB0Snp6dD3qCJYPjw4Vi7di2eeuopPPHEE+jWrRu+++47h19DyBpByMVFbHqakSGm1QcEmNcq5CKX4ZGJCbjrs734ZMdZ3H5ZTJs3ZG0NV1cxW84wY06vNw1GFRXinE5XPybH2uRyEWoMa+80/KpQsHWHiKgz6FDrCNlDe68jVFMDHD0qQsvAgW1b90WvF89VVyfW7DF3oUVJkjBj1d/Yc7YI1/YPx9u3DGx9ETak0zW/y3nDTUAbvoeG72UyERYv3sn84nNERNQx2WwdIY1G0+wTpqSkID4+3tKnpAYatga1dfE7uVy0Cp0/L1qFAgPNe06ZTIZnrumFKe/uwA+HsjBreAwSY8wccd2OXFzq19MhIiJqDYuHmk6ePNlkwUGD5ORkjB071ho1OTVrdIs1FBQkxszU1opp6ubqE6HCjYmRAIDnfjoBvZ4Nh0RE1PlYHIS8vb1x/fXXQ9ug7+HEiRMYO3Yspk+fbtXinFFbps43xdAqBIhWIb3e/McumtADXgoXHDpfgu8PtWJHVyIiIgdncRD65ptvUFpaittuuw2SJOHo0aMYO3YsbrnlFrz11lu2qNGptHXqfFPUajG4t67OslahYF933He56Op86ddkVNZqL/EIIiKijsXiIOTh4YGff/4ZycnJuOmmmzBu3DjMnDkTr7/+ui3qcyo6Xf12C9ZqEQLEuCBDq1BOjmWtQnNHxiLS3wM5mmqs2HrGekURERE5ALOCkEajMTnkcjnWr1+P3bt3Y/r06Xj66aeN91HrGaaAW7q1hjmCgupbhQwLFJrD3c0FT1zdEwCwcmsqMkuqrFsYERGRHZk1fV4ul0PWxHQjw0NlMhkkSYJMJoPOnJXoOpD2nD6fnw+kp4ud2G0x+a6gADh3ToSsvn3NX5VZkiTMWPk39qQVYeqAcLx1s2NOpyciIjKw6vT5zZs3W60wap61Z4xdLDBQdI3V1IhtLFrYcs2ETCbDM1PEdPrvD2ZhZlIXJMb426ZIIiKidmRWEBozZoyt6yDYPgjJZGIPsrQ0sf2GWm3+VhCG6fT/tzcDz/90HN/cOxxyeRsXOiIiIrKzVo9EqaysRHp6Ompra03O9+vXr81FOSvD1Hlrzhi7WECAaBWqrhatQmFh5j920YQe+PlwNg5emE5//cBI2xVKRETUDiyeNZafn49rrrkGPj4+6N27NwYOHGhyUOvU1IjZXDKZ2M/KVgytQoBoFbJkSBen0xMRUWdjcRB66KGHUFJSgt27d8PDwwMbNmzAp59+im7duuGHH36wRY1OwZpba1yKv7/YlkKns2xdIcB0Ov1KTqcnIqIOzuIg9Oeff+L111/H4MGDIZfLERMTg9tvvx0vv/wyli1bZosanYK1V5RuiUwGhISI73NzAUu23W04nf6DralIzS+3QYVERETtw+IgVFFRgeDgYACAv78/8i8sStO3b1/s37/futU5EVusKN2SwECxXlFdHVBUZNljr+oTilHdglCr1ePRrw5Dx33IiIiog7I4CPXo0QPJyckAgP79+2PlypXIzMzEihUrEGbJyFsyYesZYxdr2CqUk2PpY2VYPr0fvJWu2HeuGGt2plm9PiIiovZgcRB68MEHkZ2dDQBYsmQJfv31V0RHR+Ptt9/Gf/7zH6sX6AxstbXGpQQFienz1dVAaallj43w88DiqxMAAK/8dhJpBRU2qJCIiMi2zFpZuiWVlZU4efIkoqOjERQUZK26HEZ7rCxdXg4kJ4uuqvZefSAzU7QIeXsDPXpY9lhJknDbR7uxM7UQQ2MDsO6uy7i2EBEROQRzP78tbhEyqK2tRXJyMhQKBQYNGtQpQ1B7ae/xQQ0FB4tusvJycVhCJpPhpen94KlwwZ6zRfjv3+dsUyQREZGNWByEKisrMXfuXHh6eqJ3795IT08HADzwwANYvny51Qt0Bu09PqghNzcxcBoQM8gsFRXgicevEl1kL204ifNFlVasjoiIyLYsDkKLFy/GoUOHsGXLFri7uxvPjx8/HuvXr7dqcc6iPafON8UwaLqkRIwXstTtw2IwLDYAlbU6PPrVYeg5i4yIiDoIi4PQd999h3fffRcjR4402ZG+d+/eSE1NtWpxzsKeXWOAWFzRz09835pWIblchpdv6Ad3Nzl2nSnE2j3pVq2PiIjIVlq1xYZhHaGGKioqTIIRmcewtYZcbtutNS7FsBN9YaFYW8hSMYFeeHSi6CJb9ssJZBSzi4yIiByfxUFo8ODB+Pnnn423DeHno48+QlJSkvUqcxKGbjF3d9tvrdESLy8xc0ySxGasrTF7eBcMjvFHRa0Oi785gjZOSCQiIrI5i3ef/89//oOrrroKx48fh1arxVtvvYXjx49j586d2Lp1qy1q7NTs3S3WUGgokJIC5OeL711cLHu8oYvsqre2Y/vpAqz/5zxuHhptm2KJiIiswOIWoZEjR+LQoUPQarXo27cvfv/9dwQHB2PXrl1ITEy0RY2dmj1njF1MparfjPXCzikWi1N7Y9EEsSDRcz8dx6ncMitWSEREZF0WtQhpNBrs3r0btbW1+M9//gO1Wm2rupyGvWeMXSw0FEhLE91jISGt6667c2Qstp7Kx46UAvzrv/vw/f0j4OvuZvVaiYiI2srsFqGDBw8iISEBkyZNwpQpUxAfH4/ffvvNlrV1ejodUFsrvneErjEACAio34y1sLB1z+Eil+Gtmwcgws8DZwsqsGD9IU6pJyIih2R2EHrssccQGxuLHTt2YN++fRg3bhzuv/9+W9bW6Rm6xRQKy8fj2ErDzVhbM5XeINBbiQ9uHwSFqxx/nMjF+1tSrFMgERGRFZkdhPbt24d33nkHSUlJGDhwID755BOkpqZCo9HYsr5OzZHGBzXUcDPWkpLWP0+/SD88P7U3AOC1jaew9VQrBx4RERHZiNlBqKioCJGRkcbbfn5+8PLyQmFr+0/I4cYHGbi4AIbhX21pFQKAGUOiccvQKEgS8OC6A9yCg4iIHIpFg6WPHz+OnJwc421JknDixAmUldXPDOrX3tund2CONHX+YsHBIgSVlwMVFWKdodZaem1vHM8uw6HzJfjXf/fhm/uGw93NQfoCiYjIqckkM1e9k8vlkMlkTS6SZzgvk8mg0+msXqQ9aTQaqFQqlJaWwtfX12rPK0nAwYNiVenevcW0dUeTliYGTPv7A3FxbXuurJIqTHlnBworajF9UCRevbEfVyInIiKbMffz2+wWobNnz1qlMBJqax1ja42WhISIIFRcLLYCaUud4X4eeOeWgbj94934en8GBkT74Y7LYqxXLBERUSuYHYRiYvihZU0Nxwc5asOIh4dYZLG0VHSTRbdxkejh8UF4bFIClv16Es/9eAy9wnyRGONvnWKJiIhaweKVpck6HHXG2MUMU+kLCwGttu3Pd/foOFzdNxR1OgnzPv0HyTlceZqIiOyHQchOqqvFV0cPQj4+YjC3Xt/6bTcakslkePmG/ugfqUJxZR1u++hvpOSVt/2JiYiIWoFByE7i4oA+fcRKzo4uNFR8zcsTgaitvJWu+OzOYegV5ouC8lrc+uHfSCuoaPsTExERWYhByI6USsDVogUM7MPPT6x+rdW2ftuNi6k83fD5vGHoHuKNvLIa3Prh31xjiIiI2l2rg1B+fj527NiBHTt2IN8afSbksC7edsO8BRcuLcBLgS/mXYY4tReySqtx60d/I7u0yjpPTkREZAaLg1BFRQXuvPNOhIeHY/To0Rg9ejTCw8Mxd+5cVFbyL/rOyrDtRk2NmEVmLWofJdbOuwwxgZ44X1SFWz/cjTxNtfVegIiIqAUWB6EFCxZg69at+OGHH1BSUoKSkhJ8//332Lp1KxYuXGiLGskByOX12240WFzcKkJV7lh712XG3epv+2g3CstrrPsiRERETTB7ZWmDoKAgfPXVVxg7dqzJ+c2bN+Omm27qdN1ktlpZuiOqqwOOHBFdYz16AN7e1n3+9MJKzFi1C9ml1UgI9cH/7roM/l4K674IERE5BXM/vy1uEaqsrESIYcBIA8HBwewa6+Tc3IDAQPF9WzdjbUp0oCe+mDcMah8lTuaUYfqKnTiTz6n1RERkOxYHoaSkJCxZsgTV1fXjOKqqqvDss88iKSnJqsWR4zFk4JKS+rWQrClO7Y2184YhTOWOM/kVuO69v7DtVOdqZSQiIsdhcdfYkSNHMGnSJNTU1KB///4AgEOHDsHd3R2//fYbevfubZNC7YVdY42lpIgB00FBgK12Xskrq8Y9/92H/eklkMuAJ67uibkjY7lRKxERmcXcz2+LgxAguse++OILnDx5EgDQs2dP3HbbbfBw9GWSW4FBqLHyciA5WUyr79tXdJnZQo1Whye/PYqv9mUAAG5IjMSL1/eB0tXFNi9IRESdhs2C0LZt2zB8+HC4XrQSoFarxc6dOzF69OjWVeygGISalpwsAlFICBAZabvXkSQJn/yVhhd/Pg69BAyK9sOKOxIR7ONuuxclIqIOz2aDpS+//HIUFRU1Ol9aWorLL7/c0qejDiosTHzNz7fOZqzNkclkmDsyFmvmDIWvuyv2p5dg6rt/4UiGFRczIiIip2VxEJIkqclxGoWFhfDy8rJKUeT4fH3rN2O1xQyyi43ursb3949EV7UXskurccOKnfj873PQ6620zDURETkls3e6mjZtGgDxF/rs2bOhVCqN9+l0Ohw+fBjDhw+3foXksMLCgNRUsRlrSIjt902LDfLCt/NH4MH/HcDm5Hw89d1R/HAoC8um9UVXtZUXNSIiIqdgdouQSqWCSqWCJEnw8fEx3lapVAgNDcXdd9+Nzz//3GaFFhUV4bbbboOvry/8/Pwwd+5clJe3vMbM2LFjIZPJTI577rnHZjU6Gz8/wMNDtArl5bXPa/q6u+GjWUPwzDW94OHmgj1ni3DVW9vx7p+nUafTt08RRETUaVg8WPrZZ5/FokWL2r0b7KqrrkJ2djZWrlyJuro6zJkzB0OGDMHatWubfczYsWPRvXt3PPfcc8Zznp6eFg165mDplhUXA2fOiH3I+vYVX9vL+aJKPPndUeM6QwmhPlg+vR8GRPm1XxFEROSQbDp9vr2dOHECvXr1wj///IPBgwcDADZs2ICrr74aGRkZCA8Pb/JxY8eOxYABA/Dmm2+2+rUZhFomScDx42JxxYgIIDS0vV9fwvcHs/Dsj8dQXFkHuQyYMyIWCyd0h6fCxn11RETksGw2a8wedu3aBT8/P2MIAoDx48dDLpdj9+7dLT72iy++QFBQEPr06YPFixdfchuQmpoaaDQak4OaJ5PVzyDLzRXdZO37+jJcNzACfywYg+sHRkAvAR/vOIsJb2zDtwcyoGV3GRERtaBDBKGcnBwEBwebnHN1dUVAQAByWtgK/dZbb8Xnn3+OzZs3Y/Hixfjvf/+L22+/vcXXWrZsmcn4p6ioKKv8DJ2Zvz+gVIpp9PbaczfQW4k3ZgzAmjlDEOHngYziKjy8/hDGv74V//fPeY4fIiKiJtk1CD3++OONBjNffBhWr26Nu+++GxMnTkTfvn1x22234bPPPsO3336L1NTUZh+zePFilJaWGo/z58+3+vWdhUxW3yVmj1ahhsb2CMbvD4/GIxN7wN/TDWmFlXj068MY+8oWfP73OdRodfYrjoiIHE6bBlFUV1fD3b31K/wuXLgQs2fPbvGauLg4hIaGIu+iaUlarRZFRUUItWBQyrBhwwAAKSkp6Nq1a5PXKJVKk6UByDyBgUB2NlBbCxQWAmq1/WrxUrpi/uXxmD28C9buTsfKbWeQWVKFp747inf+PI1/je6KW4ZGw0PBrTqIiJydxUFIr9fjxRdfxIoVK5Cbm4tTp04hLi4OTz/9NLp06YK5c+ea/VxqtRpqMz4xk5KSUFJSgn379iExMREA8Oeff0Kv1xvDjTkOHjwIAAgzDGohqzG0CqWnAzk5YkNWe++P6qV0xV2j43BHUgzW7UnHiq1nkKOpxnM/Hcf7W1IwfVAkpidGonuIj30LJSIiu7G4a+yFF17AmjVr8PLLL0OhUBjP9+nTBx999JFVizPo2bMnJk2ahLvuugt79uzBX3/9hfvvvx8333yzccZYZmYmEhISsGfPHgBAamoqnn/+eezbtw9paWn44YcfMHPmTIwePRr9+vWzSZ3OLjBQbMBqaBVyFO5uLpg9IhZbHx2LF6/vgwg/DxSU12LltjOY8MY2XPvuDny2Kw3FFbX2LpWIiNqZxdPn4+PjsXLlSowbNw4+Pj44dOgQ4uLicPLkSSQlJaG4uNgmhRYVFeH+++/Hjz/+CLlcjunTp+Ptt9+Gt7dYUTgtLQ2xsbHYvHkzxo4di/Pnz+P222/H0aNHUVFRgaioKFx//fV46qmnuI6QDeXmAhkZYvB07972bxVqSp1Oj00ncvHVvkxsSc6D9sI2HW4uMoxLCMENiZEY00MNN5cOMZeAiIiaYLN1hDw8PHDy5EnExMSYBKHjx49j6NChl1ztuaNhELKMXg8cOSJmkHXpIlqJHFlBeQ2+P5iFr/dl4Hh2/VIJAV4KjOoWhJHxQRjVTY1QFXe7JyLqSMz9/LZ4jFCvXr2wfft2xMTEmJz/6quvMHDgQMsrpU5FLhf7jmVmirFCAQGO2SpkEOStxNyRsZg7MhYnsjX4el8GvjuYiYLyWnx/MAvfH8wCAHQL9saobmqM6haEYXEBXKyRiKiTsPhf82eeeQazZs1CZmYm9Ho9vvnmGyQnJ+Ozzz7DTz/9ZIsaqYNRq0UXWXW1GCsUFGTviszTM8wXT13TC49dlYB954qx43QBtqcU4HBGCU7nleN0Xjk++essFC5yDIj2w4AoP/SLVKFfhB+iAjwgc+TER0RETWrVFhvbt2/Hc889h0OHDqG8vByDBg3CM888gwkTJtiiRrti11jr5OUB58+LwdN9+oiWoo6qpLIWf6UUYkdKPradKkBmSVWja/w93dA30g/9IlToF6lCr3BfhKs8IJczHBER2UOn2mvMnhiEWkeSgKNHxQwye+xBZiuSJCGtsBL/pBXhcEYJDmeU4kS2BnW6xv8bKVzliAnwRJcgL3QJ9ERMoBdig7wQE+jJkEREZGM2C0Lz5s3D7bffjrFjx7a1xg6BQaj1CguBtDSxI32fPoBrJx1WU6PVITmnDIcySnH4vAhHqfnlxtloTXGVyxDi644wlTvC/DzEV5U7wlTie7WPEv6eCi76SETUSjYbLJ2fn49JkyZBrVbj5ptvxm233YYBAwa0pVbqpAICxFihqioxcDoy0t4V2YbS1QX9Iv3QL9IPuExMItDq9MgqqUZaYYU4CiqN358vqkSdTkJmSZXoZjvX/JITSlc5ArwU8PNUwN/TDf6eCvh5usHP0w0qj/rD18P0tpfClS1ORERmaFXXWHFxMb788kusXbsW27dvR0JCAm677Tbceuut6NKliw3KtB+2CLVNaSmQkiLGCPXuDTRYg9NpaXV65JfXIKukGtmlVcguqUZ2qfg+q7Qa2SVVKKqobbFF6VJkMsBb6QofpSt83N3g7e4KH/cL3ytd4aVwgceFw9PNBZ4KV7gbv3eBt7srvJUXDndXeLi5cDA4EXUo7TZGKCMjA//73//wySef4PTp09BqtW15OofDINR2yclAebmYPXbRqgvUDEmSUFajRUlFHYora1FcWYuSSsP3ddBU1aGkshalVXUNDi00VXWo1Vl/11u5IVhdCFKeShd4KVzhqXCBl9IVHgoXeClEoPJWusLXwxW+7he1Vnm6wZstVUTUTmzWNdZQXV0d9u7di927dyMtLQ0hISFteTrqpCIjgZMngYICscZQG/bpdRoymQy+7m7wdXdDdKCn2Y+TJAnVdXqUVdehrEaLsmotyqu1JrfLqutQVadDVa0OlbXia1WdDpW1WuO5ihotymq0KK/RQpIAvQRoqrXQVLftDx25DPAxBiRX489o/P5CaAr0ViDQS4kgb4Wxa9CFAYqIbKBVQWjz5s1Yu3Ytvv76a+j1ekybNg0//fQTrrjiCmvXR52Alxfg5weUlIiFFrt2tXdFnZdMJjN2eQVb4fkkSUJVnU6EqRoRqsprtKisFcGpouair7XiGk211thSpbnwtUarh16C8bwl5DKx2negl1J89VYg0EuBQG9xWwQmJQK9FVD7KOGjdGVXHhGZxeIgFBERgaKiIkyaNAmrVq3ClClToFQqbVEbdSIRESIIlZQAFRUiHJHjk8lk8FS4wlPh2uZgVV2nM4Yi0bokQpKmWnvhax00VVqUVNaisKIWheU1KKwQXYJ6CSgor0VBuXkb43oqXBB6YSZeqK8HQlVKhKo8EObrjlCVOAI8FeymIyLLg9DSpUtx4403ws/PzwblUGfl7i7GCBUUiE1Ze/Swd0XU3tzdXODu5oJgX8v6Rut0ehRX1qKw/MJRUWP8WlQhwlGRITiV16LsQovVmfwKnMmvaPZ5FS5yhKiUCPV1R6jKA6G+IixF+HkgOsATUQEe8HF3a+uPTUQOjgsqXgIHS1tPba1YZFGSgPh4QKWyd0XUGVXV6pCjEbPwcjViRl5Oaf3XHE01CsprYM6/fAFeCkT5eyAqwBPRFw7D92Eqd7i6dOAl04k6OasOlp42bRrWrFkDX19fTJs2rcVrv/nmG8sqJaehUADBwWJtocxMBiGyDQ+FC2KDxCrezanT6ZFXVoOc0irklNYgu7RKhCVNNTKLq3C+qBKFFaKlqaiiFocyShs9h4tchnA/d5OAFOXvidggL8SpvbgxL1EHYdb/qSqVyjjw0NfXl4MQqdVCQ0X3WFUVUFQkFl0kam9uLnJE+IlusOaU12hxvqgS6UWVOH/hOGf4vrgKtVo9zhdV4XxRFf5CYaPHR/h5IE7tha5qb3S98DVO7Y0QXyX/DSVyIOwauwR2jVlfTo5oEVIoxCKLHXlDVnJOer2EvLIanC+uRHphfVg6V1SJswUVKKpoflC3l8IFcRfCkfjqja7BXugS6AV3N26pQmQtNltQ8YorrsA333zTaLC0RqPBddddhz///LNVBTsqBiHr0+uB48eBmhqxrlBn3XqDnFdRRS3O5JfjTH4FUvPLLxwVSC+qhK6ZFcNlMiDS3wM9QnzQI9QHPUJ90TPUB7FBXhyLRNQKNgtCcrkcOTk5CA42nUybl5eHiIgI1NVZtj6Io2MQsg3D1hsyGdCzJ+DRfA8FUadRq9UjvagCKXkVOFNQjlTj1/JmF6tUuMjRNdgbPUMNAckHCaG+7GIjugSrryx9+PBh4/fHjx9HTk6O8bZOp8OGDRsQERHRynLJ2ahU9YsspqdzOj05B4WrHPHBPogP9jE5L0kSCitqkZJXjuScMpzMKUNyjgbJOWWoqNXhRLYGJ7I1Jo9Rebg1aD3yQUKoD7qH+sCXU/6JLGJ2i5BcLjf+9dHUQzw8PPDOO+/gzjvvtG6FdsYWIduprQWOHRNdZV26AIGB9q6IyLHo9RIyS6pwMqcMJ7M1OJlbhuScMpwtqGi2iy0m0BN9wlXoE6FCnwhf9AlXwd+Lux2T87F619i5c+cgSRLi4uKwZ88eqNVq430KhQLBwcFwcel8A/0YhGwrN1cssOjqKgZOu3LGMdElVdeJBSOTczUXWo/EkV1a3eT1EX4e6BPhi74RKvQOV6F3hC+CfbjpH3Vu7bb7fGfHIGRbkgScOCGm03N3eqK2KamsxdFMDY5mleJopjjSCiubvFbto0SfcF/0DhctR73DVYj09+C4I+o0bB6Ejh8/jvT0dNTWmk4Tvfbaa1vzdA6LQcj2ysuB5GTxfY8egLe3fesh6kw01XU4nqUxBqNjWRqk5pejqZ41lYcb+kf5YUCUHwZG+aF/lB8C2K1GHZTNgtCZM2dw/fXX48iRI5DJZMbxQoa/InQ6XRvKdjwMQu0jLQ0oLBSzx3r2FLPJiMg2qmp1OJGjwbELwehoVilO5ZSjVqdvdG10gCcGXAhHA6L90DvcF0rXzjcMgjofmwWhKVOmwMXFBR999BFiY2OxZ88eFBYWYuHChXj11VcxatSoNhfvSBiE2odWKwZOa7ViXaGQEHtXRORcarV6JOeU4eD5Yhw4X4JD50uQ2sSmtQoXOXpH+GJQtL84YvwQpuL6F+R4bBaEgoKC8Oeff6Jfv35QqVTYs2cPevTogT///BMLFy7EgQMH2ly8I2EQaj8FBcC5c2Kl6d69xcrTRGQ/pVV1OJxRgoPpJTh4vgQHzpc0uWp2qK87BsX4YVC0PwZE+aFPhIqrZJPdWX0dIQOdTgcfH7EGRlBQELKystCjRw/ExMQg2TDQg6gVgoJEGKqoEDPJ4uLsXRGRc1N5uGFUNzVGdROzhCVJwrnCShw4X4z950qwP70YJ3PKkKOpxi9HcvDLEbG+nKtchp5hvhgY7WfsVosN8uJAbHJIFgehPn364NChQ4iNjcWwYcPw8ssvQ6FQYNWqVYjjJxe1UUyMmEVWXAxoNAAb4Ygch0wmQ5cgL3QJ8sL1A8XeOJW1WhzOKMX+9GIcSC/BgfQSFJTX4EhmKY5kluKzXecAAH6ebhgY5YchsQEY0iUAfdlqRA7C4q6x3377DRUVFZg2bRpSUlJwzTXX4NSpUwgMDMT69etxxRVX2KpWu2DXWPvLyBDrC7m5Ab16cW0hoo5EksQikAcM3WnpxTiapUGt1nQgtsJFjv5RKgzuEoAhXfyRGBMAlQdXxSbradd1hIqKiuDv798pmz0ZhNpfw01Z/f3ZRUbU0dVq9TiercG+c8XYm1aEf9KKUFBuOtZIJgO6B/sgsYs/Bsf4Y3BMAKICuK4RtR4XVLQSBiH7qKwETp4UCy7GxIjxQ0TUOUiShLTCSvyTVnQhGBXjbEHjGWpqHyUSo/0xuIs/BsX4o0+4CgpXuR0qpo7IqkFo2rRpZr/wN998Y/a1HQGDkP3k5ACZmWIWWa9egFJp74qIyFbyy2qw71wx9p0rwr5zxTiSWYo6nenHk4ebCxJj/DEsNgCXdQ1Ev0gV1zSiZll11phKpbJaYUTmCgkRA6bLyoCzZ8Wq02wlJ+qc1D5KTOoTikl9QgGI/dSOZJZib1p9OCqurMOOlALsSCkANgJKVzkGRftjWFwALosLxIAoPw7AJouxa+wS2CJkX7W1YryQTgeEhgIREfauiIjsQa+XcDqvHLvPFuLvM4XYfaYIhRetaWQYgD2kSwCGxgYgMcYfPu4cgO2sbDpGSKvVYsuWLUhNTcWtt94KHx8fZGVlwdfXF96dbKMoBiH7Ky4GzpwR33fvDlxYxoqInJgkSUjNL8ffZ4pEMDpbhPyyGpNr5DKgV7gvhnQJwLDYAAyLDYQ/905zGjYLQufOncOkSZOQnp6OmpoanDp1CnFxcXjwwQdRU1ODFStWtLl4R8Ig5BjOnROLLSoUYryQC1u/iagBw2KPe84WYc+FmWnnCisbXdczzBfDuwZieNdADIkNgC9bjDotmwWh6667Dj4+Pvj4448RGBiIQ4cOIS4uDlu2bMFdd92F06dPt7l4R8Ig5Bg4pZ6ILJWrqRbB6GwRdp8txKnccpP75TKgb6QfhncNRFJcIAZ38YengguXdRY2C0KBgYHYuXMnevToAR8fH2MQSktLQ69evVBZ2TiBd2QMQo6jogJIThZT6rt0AQID7V0REXUk+WU1+PtMIXaminFGF0/Zd5XL0C9ShcviAnFZXCASY/zhpWQw6qhstteYXq+HTqdrdD4jI8O4BxmRLXh5AeHhYkp9ejrg7c0p9URkPrWPElP6h2NK/3AAQFZJFXal1gejzJIq7E8vwf70Ery/JdUYjIZdCEZDuwTAQ8F++c7G4hahGTNmQKVSYdWqVfDx8cHhw4ehVqsxdepUREdHY/Xq1baq1S7YIuRYJAk4fVpMqXd3BxISOF6IiKzjfFEl/j5TaByAnVlSZXK/wkWOQTF+GNE1CCO6BaFfhAquLlzg0VHZrGssIyMDEydOhCRJOH36NAYPHozTp08jKCgI27ZtQ3BwcJuLdyQMQo6nrk5szFpXJzZljY/n+kJEZH2GYLT7bBF2phQgq7Ta5H4fpSsu6xqIkfFBGBEfiK5qb24J4kBsPn1+/fr1OHToEMrLyzFo0CDcdttt8PDwaFPRjohByDFVVorxQno9EBwMREXZuyIi6swM24LsSCnAzpQC7EwtRGlVnck1ah+lceD18K5B3CvNztp9r7Hs7Gy8+OKLePfdd63xdA6DQchxlZQAqani+6goEYiIiNqDTi/hWFYpdqQU4K+UAuxNK0aNVm9yTYSfB5IuTNUf3jUIoSp3O1XrnGwShI4dO4bNmzdDoVDgpptugp+fHwoKCvDiiy9ixYoViIuLw7Fjx6zyAzgKBiHHZtiPDAC6dRNdZURE7a26TocD6SXYlVqAXWcKcSC9BFq96cdrfLA3RsYHYXT3IAyLDeSMNBuzehD64YcfcMMNN0Cr1QIA4uLi8OGHH+Kmm25CYmIiHnroIUyaNMk61TsQBiHHl5YGFBaKQdM9egCdsIeWiDqYihot9p4rxq7UQuxKLcCRzFI0zEVuLjIMjPbH6G5BGNlNjb4RKrjI2Y1mTVYPQkOHDsWIESPw/PPP46OPPsKCBQvQu3dvfPLJJxgyZIjVCnc0DEKOT5KAU6eA8nKx8nTPnoAr/9AiIgdSWlmHnakF2Ha6ANtP5yOj2HRGmsrDDZfFBWBEfBBGxAchLsiL44vayOpBSKVSYd++fYiPj4dOp4NSqcSGDRswfvx4qxXtiBiEOgatFjh5Uqw87e0tusnknNVKRA7IsB3I9pQC7Didj50phSir0ZpcE+rrjuHxgWKqfjzHF7WG1YOQXC5HTk6OcXp8w1WlOzMGoY6julqEIZ0OCAgAYmPtXRER0aVpdXoczizFzpQC/JVSiH3nilGrMx14HR/sjVHdgjC6uxqXxQZyYUcz2CQIffrpp1CpVACAW265BW+++SZCQkJMrrv22mvbULbjYRDqWMrKxIKLkgSEhACRkfauiIjIMtV1OuxNKxZT9S+ML2r4Sa1wkWNIrD9Gd1NjdHc1EkJ92I3WBJsEoUuRyWRNbr/RkTEIdTwFBWK3eoBhiIg6vvrxRfnYdqqg0YrXah8lRsUHYWQ30Y0W4stuNMAO6wh1VgxCHVN+vtiPDOCCi0TUeUiShDMFFdh2Kh/bTxdgV2ohqupMGyC6BXtjRHwQRnULwrC4QHg76TT9TheEXnzxRfz88884ePAgFAoFSkpKLvkYSZKwZMkSfPjhhygpKcGIESPwwQcfoFu3bma/LoNQx9WwZUitBqKj7VsPEZG11Wh12HehG+2vlAIcvqgbzVUuw4AoP4zsFoQx3dXoF+nnNNP0O10QWrJkCfz8/JCRkYGPP/7YrCD00ksvYdmyZfj0008RGxuLp59+GkeOHMHx48fh7m5e0yGDUMdWWCjWGQKAoCAgJsau5RAR2VRJZS12pRYag1FaYaXJ/X6ebhgZL0LR6O7qTt2N1umCkMGaNWvw0EMPXTIISZKE8PBwLFy4EIsWLQIAlJaWIiQkBGvWrMHNN99s1usxCHV8DcNQYKAIQxxXSETO4HxRJf5KEeOLtp8uQFm16TT9hFAfjOmuxqhuagzu4g93t84zG83cz+9O23F49uxZ5OTkmKxzpFKpMGzYMOzatavZIFRTU4OamhrjbY1GY/NaybYCA0XwOXtWhCKAYYiInENUgCduHhqNm4dGQ6vT41BGCbYm52PrqXwczizFyZwynMwpw8ptZ6B0lWNobABGdQvCyHgxG03uBN1onTYI5eTkAECj6f0hISHG+5qybNkyPPvsszatjdpfQIBpGJIkoEsXhiEich6uLnIkxgQgMSYACyb0QFFFLbZfmIm2IyUfuZoabD9dgO2nCwCcRJC3AiPig4xdacGdtButTUGopqYGSqWy1Y9//PHH8dJLL7V4zYkTJ5CQkNDq17DU4sWLsWDBAuNtjUaDKE456hT8/cXXs2eBoiKxGnVsLLfjICLnFOClwNQBEZg6IAKSJOF0Xjm2nxarXf99pggF5bX4/mAWvj+YBQDoGeaLMd3VGNtDjcQYf7i5dI7l+y36CPj111+xbt06bN++HefPn4der4eXlxcGDhyICRMmYM6cOQgPDzf7+RYuXIjZs2e3eE1rV64ODQ0FAOTm5iIsLMx4Pjc3FwMGDGj2cUqlsk3hjhybv7/YeuPMGUCjEStRx8cDZo6dJyLqlGQyGbqH+KB7iA/mjoxFrVaP/enF2HFhb7TDmaU4ka3BiWwNVmxNhbfSFcO7BmJsj2CM6aFGhF/H3e3arMHS3377LR577DGUlZXh6quvxtChQxEeHg4PDw8UFRXh6NGj2L59O3bt2oXZs2fj+eefh1qttknBlg6WXrRoERYuXAhAtO4EBwdzsDShqgpISQFqa8Wu9bGxwIVF04mI6CKF5TXYkVKALcn52HYqH4UVtSb3x6m9MLqbGiPjg3BZV8dYu8iqs8aSkpLw1FNP4aqrrmpxhenMzEy88847CAkJwcMPP9y6ypuRnp6OoqIi/PDDD3jllVewfft2AEB8fDy8vb0BAAkJCVi2bBmuv/56AGL6/PLly02mzx8+fJjT5wmA6BpLTRW71gNARARwoSGRiIiaoddLOJalwZbkPGw9lY/96cXQX7R20aAYf4yKD8Ko7mr0jVDZZe2iTjd9fvbs2fj0008bnd+8eTPGjh0LQDTtrV692tjdZlhQcdWqVSgpKcHIkSPx/vvvo3v37ma/LoNQ5yZJwPnzYiVqQAyqjonhzvVEROYqrarDrtRCbL8wRT+9yHTtIpWHG0Z2C8LY7mqM6aFGsE/7jEWwWRCqrq5utjUlOzvbZDxOZ8Ag5Bzy80UgkiTA0xPo2hVQKOxdFRFRx3OusOLC7LN87EwtbLR2Ua8wX4ztocbYHsEYGO1ns0HXNgtCvXr1wtq1axsNOP76669xzz33IN/wp3UnwSDkPMrKxCBqrRZwcxPT6/mfnIio9QxrF20xrF2UUWpyv4+7K0bGB+G2YTEY2S3Iqq9t7ue3xTFs7NixuOyyy4zT3isqKjB79mzccccdeOKJJ1pfMZGd+fgAPXsCHh5AXR1w+rTYq0ynu/RjiYioMcPaRQsn9MAP94/E3qfG4/Wb+mPqgHD4e7qhrFqLX4/m4FxRhd1qbNUYoZ9//hnz5s1DfHw8srOz4e3tjc8//xx9+vSxRY12xRYh56PXA5mZQF6euK1QiHFD/M9PRGQ9Or2Ewxkl2HoqHzcNjkK4lafg23SwtF6vxwMPPIAPPvgArq6u+PHHHzFx4sQ2FeyoGIScV3m52KPMsONKUBAQGSmm2xMRkWOzWddYamoqkpKS8NNPP+G3337Do48+imuvvRaPPvoo6urq2lQ0kSPx9gZ69QKCg8XtggLg+HGxECMREXUOFrcI+fj4YPLkyVixYgX8/PwAADt37sTMmTPh4+ODAwcO2KJOu2GLEAFNtw5FRHB7DiIiR2WzFqH3338f69atM4YgABg+fDgOHDiAQYMGtapYIkfXVOvQ0aNATo4YU0RERB1Th1lQ0V7YIkQXKy8Xaw5VXlgzTKEQrUMBAfati4iI6pn7+W1xw/5nn33W7H0ymQx33HGHpU9J1KF4e4tp9oWFQFaW2K/s7FkxyywyUtxPREQdg8UtQv7+/ia36+rqUFlZCYVCAU9PTxQVFVm1QHtjixC1RK8XASg7u76LzM9PtBBxR3siIvuxWYtQcXFxo3OnT5/Gvffei0ceecTSpyPq0ORysVFrYKAIQ/n5QEmJOPz9gZAQwMvL3lUSEVFzrDZGaO/evbj99ttx8uRJazydw2CLEFmiuhrIyABKG6wi7+0tAlGD+QVERGRjNmsRavaJXF2RlZVlracj6pDc3YH4eKCqCsjNBYqKxODq8nJAqRSBKDCQu9sTETkKi4PQDz/8YHJbkiRkZ2fj3XffxYgRI6xWGFFH5uEhNm2NiBBjiPLzxRpE6eligLVaLQKRUmnvSomInJvFXWPyi/6UlclkUKvVuOKKK/Daa68hLCzMqgXaG7vGyBr0erH2UG6umGVm4OMjFmf082MrERGRNdmsa0zP1eOILCaXi8UY1WoxkLqgQGzVUVYmDhcXsQ5RUBDg6WnvaomInAc3CCBqRzKZmE3m7y9ahgoKxHpEtbWi+yw/XwShgABxjUJh74qJiDo3s4LQggULzH7C119/vdXFEDkThQIIDwfCwkSrUEGBaC2qrBRHRoYIRX5+4vDwsHPBRESdkFlByNyNVGUyWZuKIXJGMhng6ysOrVbMNCspEeHIEIqyssSMNEMo4tpERETWwb3GLoGDpcletNr6xRk1GqDh/6lubiI4qVRiwLUrO7mJiExYfbD0mTNnEBsby1Yfonbi6ioGTwcFATqdCEPFxWKxxro6MbaosFBc6+1dH4w42JqIyHxmT9jt1q0b8vPzjbdnzJiB3NxcmxRFRKZcXMTg6bg4YMAAoHt3sTijYT+z8nLRfXbiBHDokNgEtqBArF1ERETNM7tF6OIetF9++QXLli2zekFE1DKZTHSH+fiI3e5ra0VrUWmp+GoYZ2TY/1ihqL/ex4cz0YiIGuLIAqIOTqGo70KTJNE6ZFifqKJCBKWG3WhKpehK8/YWg645G42InJnZQUgmkzUaH8TxQkSOpWFrESBWtL44GNXUiMMQjFxcRCAyBCMvL3GOiMgZWNQ1Nnv2bCgvbI5UXV2Ne+65B14XzeP95ptvrFshEbWaXF4/NR8Qg67Ly0UgMnw1DMTWaOof5+FRH4y8vbknGhF1XmYHoVmzZpncvv32261eDBHZlouLmFmmUonbkgRUVZkGo5oaca6qSqx0DYgZbA270zw9uTcaEXUOXEfoEriOEDmburr6YFReLhZ0vPhfCZlMtBoZutI8PcUMNvaWE5GjsNmmq0TUubm51a9gDYgQVFlZH4wqKkRYMqx6bWg1cnERgcgQjry9udAjETk+s/6Zuueee/DUU08hMjLykteuX78eWq0Wt912W5uLIyL7k8nqw01IiDhXWysCUUWFCEOGsUaGQdkG7u71ocjbu37dIyIiR2FWEFKr1ejduzdGjBiBKVOmYPDgwQgPD4e7uzuKi4tx/Phx7NixA+vWrUN4eDhWrVpl67qJyI4UCnH4+4vbkgRUV9eHo/JycdtwNJyh1nAQtqcnZ6gRkX2ZPUYoNzcXH330EdatW4fjx4+b3Ofj44Px48dj3rx5mDRpkk0KtReOESJqHa3WNBhVVIjp/BfjDDUisgVzP79bNVi6uLgY6enpqKqqQlBQELp27dpp1xRiECKyDsMMtYbT92trG1/n6irWQfL2Fl+54CMRtYZNB0v7+/vD39AmTkRkBplMdIU13BS2rq4+GBkOrVZsLltcLK4xTN03LBTJYERE1mRxENqzZw927dqFnJwcAEBoaCiSkpIwdOhQqxdHRJ2bm5sYZ9RwrFFFhRhwbZilptUCJSXiABiMiMi6zO4ay8vLw/Tp0/HXX38hOjoaIRemj+Tm5iI9PR0jRozA119/jeDgYJsW3N7YNUZkP4ap+4bZaOXljccZMRgRUVOs3jV23333QafT4cSJE+jRo4fJfcnJybjzzjsxf/58fPnll62vmoiogYZT90NDmw5GTbUYGbYV8fUVrU5ERM0xu0XIx8cH27Ztw8CBA5u8f9++fRg7dizKGi4i0gmwRYjIcZnTYuTpKQKRSiUCVSed10FEF7F6i5BSqYSm4a6MFykrKzNuyEpE1B6aajGqqABKS8UmsobVrysrgZwcsWaRj48IRb6+Yi0kInJuZgehGTNmYNasWXjjjTcwbtw4Y7rSaDTYtGkTFixYgFtuucVmhRIRXYpMVr+KdUSEmJWm0dQfF3ejeXjUtxZ5e7O1iMgZmR2EXn/9dej1etx8883QarVQXPhTqra2Fq6urpg7dy5effVVmxVKRGQpNzcgMFAcgGgZMrQWlZeLdY2qqoDcXEAurw9Ffn7cJ43IWVi8oKJGo8G+fftMps8nJiZ22vEzHCNE1DlptWJcUWmpOLRa0/u9ves3n2WvP1HHY9OVpZ0JgxCRczC0FpWUiO8b8vAQax35+XF6PlFHYe7nt9xaL5ibm4vnnnvOWk9HRNSuPD2BsDCgZ0+gb18gKkoMrAZE91lWFnD8OHD0KJCRIQZlE1HHZ7UWoUOHDmHQoEHQ6XTWeDqHwRYhIuem1da3FGk0ptPzFYr67jMOtiZyLFafPn/48OEW709OTja/OiKiDsLVtX7AtV5fH4pKSsSmsXl54nB1FYHI31+0JDEUEXUMZgehAQMGQCaToakGJMP5zroDPRERIGaWGfZG0+vFYOviYhGKtFqgoEAchj3UAgNNN5klIsdjdhAKCAjAyy+/jHHjxjV5/7FjxzBlyhSrFUZE5MjkcjHVXqUSCzk2DEV1dfUtRe7uQECAODj7jMjxmB2EEhMTkZWVhZiYmCbvLykpabK1iIios5PJ6vc2i44WY4mKikQoqq4WA62zssQK2AEBorWIe6AROQazg9A999yDihamSURHR2P16tVWKYqIqKOSyepbivR6EYaKikQ4qqgQR0aGGEcUGCjGFcmtNn+XiCzVYdYRevHFF/Hzzz/j4MGDUCgUKDGskd+C2bNn49NPPzU5N3HiRGzYsMHs1+WsMSKyBq1WBKKiItOp93K5CEOBgRxkTWRNVp81Zm+1tbW48cYbkZSUhI8//tjsx02aNMmkpYobwxKRPbi6AsHB4qipEYGosLD++6Ii0V0WEAAEBYmxRURkexYHoQULFjR5XiaTwd3dHfHx8Zg6dSoCAgLaXFxDzz77LABgzZo1Fj1OqVQiNDTUqrUQEbWFUikWbwwLE61DhiBUVyf2PcvNFesSBQWJ8UTsOiOyHYuD0IEDB7B//37odDr06NEDAHDq1Cm4uLggISEB77//PhYuXIgdO3agV69eVi/YUlu2bEFwcDD8/f1xxRVX4IUXXkCgYQfGJtTU1KCmpsZ4W6PRtEeZROSkvLzEERkp1igqKKjfFLa8HDh/XrQSBQaK64jIuiz+O2Pq1KkYP348srKysG/fPuzbtw8ZGRm48sorccsttyAzMxOjR4/Gww8/bIt6LTJp0iR89tln2LRpE1566SVs3boVV111VYurXy9btgwqlcp4REVFtWPFROSsZDIxVig+XmzxEREhWo50OiA/Hzh5UmzxkZfXeINYImo9iwdLR0REYOPGjY1ae44dO4YJEyYgMzMT+/fvx4QJE1BQUNDicz3++ON46aWXWrzmxIkTSEhIMN5es2YNHnroIbMGS1/szJkz6Nq1K/74449m10NqqkUoKiqKg6WJyC7KykQrUXGxWK8IEKHJ3190nRn2QyMiUzYbLF1aWoq8vLxGQSg/P9/YjeTn54fa2tpLPtfChQsxe/bsFq+Ji4uztMQWnysoKAgpKSnNBiGlUskB1UTkMHx8xBEdLQZXFxSITWAN44qUShGIAgO5NhFRa1gchKZOnYo777wTr732GoYMGQIA+Oeff7Bo0SJcd911AIA9e/age/ful3wutVoNtVptaQmtlpGRgcLCQoSFhbXbaxIRWYOLS/2ss4oKEYiKisSss8xMsWCjSiXuZysRkfksHiO0cuVKjBs3DjfffDNiYmIQExODm2++GePGjcOKFSsAAAkJCfjoo4+sWmh6ejoOHjyI9PR06HQ6HDx4EAcPHkR5ebnxmoSEBHz77bcAgPLycjzyyCP4+++/kZaWhk2bNmHq1KmIj4/HxIkTrVobEVF78vICYmKA/v3FVy8v0W1WUgKcOgUcOybGFbUwHJKILmj1gorl5eU4c+YMANHl5O3tbdXCLtbU4ogAsHnzZowdOxaAmMK/evVqzJ49G1VVVbjuuutw4MABlJSUIDw8HBMmTMDzzz+PkJAQs1+XCyoSUUdQVSXCT2GhWNEaEK1IAQGilYjrEpGzMffzu00rS2dkZAAAIiMjW/sUDo9BiIg6Ep1OhKH8fLHPmYGPjwhEKhVXrybnYO7nt8VdY3q9Hs899xxUKpWxa8zPzw/PP/889IY/Q4iIyC4MY4l69wa6dxdT8gEx+yw1FTh6FMjJ4RR8IgOLB0s/+eST+Pjjj7F8+XKMGDECALBjxw4sXboU1dXVePHFF61eJBERWc4w46y2VrQQFRSI7w2Dqw3dZp6e9q6UyH4s7hoLDw/HihUrcO2115qc//7773HfffchMzPTqgXaG7vGiKiz0OvFekR5eUBlZf15Ly8RiPz92W1GnYfN1hEqKioyWeDQICEhAUVFRZY+HRERtRO5XKw3FBgopuDn5YlgVFEBnD0LZGQAarU4XDvMltxEbWPxGKH+/fvj3XffbXT+3XffRf/+/a1SFBER2ZaXFxAbK7bzCA8XizHW1YkusyNHgPR008HWRJ2VxZn/5ZdfxuTJk/HHH38gKSkJALBr1y6cP38ev/zyi9ULJCIi23FzA8LCgNBQ0TqUmyu6zfLzxeHnx0UaqXNr1fT5rKwsvPfeezh58iQAoGfPnrjvvvsQHh5u9QLtjWOEiMjZlJWJQFRaWn/O0xMICeE4Iuo42mUdoYYyMjLw3HPPYdWqVdZ4OofBIEREzqq6WowjarhIo0IhAlFQkBhzROSobLaOUHMKCwvx8ccfW+vpiIjIztzdxWavhnFErq5i+v3582IcUVYW1yOijo/zAoiIqEWurmIcUUiIaB3KzRWbvWZni+8DA8V9SqW9KyWyHIMQERGZRS4XU+uDgsQGr7m5Yuq9YWC1v78IRF5e9q6UyHwMQkREZBGZTIQef3/TgdXFxeLw8RGBSKWyd6VEl2Z2EJo2bVqL95eUlLS1FiIi6mAM23hUVYlAVFQkwlFZGeDhIQJRQABnmpHjMjsIqS4R7VUqFWbOnNnmgoiIqOPx8AC6dBGDqvPyxL5mVVVAWprY28ww08zFxd6VEpmy2vT5zorT54mILKfTiXFDeXlixWpAhKDgYHFwCw+yNZvtNUZERHQpLi5iteqQENFdlpMj1iUyzDRTq8V9bm72rpScHYMQERHZjExWv9FrSYkIQpWVIgzl5YnuMk69J3tiECIionbh5ycOjUYEovJy0X1WUCAGVIeGikUcidoTgxAREbUrX19xlJeLQKTRiIUaCwtFUAoLE3ubEbUHBiEiIrILb2+gWzfRVZadLbrODIevrwhE3t52LpI6PQYhIiKyK09PoGtX07WINBpxeHuLLjMuzki2wiBEREQOwbAWUViYCEQFBaL7LCVF3BcWJlazJrImBiEiInIoSqXY9d4QiPLzRWvRmTP1gcjPj6tVk3UwCBERkUNycwMiI0XXWF6eOAyByN29voWIgYjaQm7vAoiIiFri6iq27ujbV3x1cRGLM549Cxw/LsYUcY8Eai22CBERUYfg4iJagYKDRetQbm59IMrOFi1H3OCVLMUgREREHUrDQJSfXx+I0tLqA1FgIAMRmYdBiIiIOiTDfmZqdX0gqqkBzp2rD0RBQQxE1DIGISIi6tAMgahhC1FtLZCeLjZ7DQkRgUjOUbHUBAYhIiLqFORyEXrUarEGUU6OCETnz4vvDS1EDETUEIMQERF1KnK5aB0KChL7l10ciMLC2GVG9RiEiIioU5LLReuQIRBlZ5t2mXEMEQEMQkRE1MnJZCLwBAaKLrOLA1FYGGeZOTMGISIicgoymWghMgQiQ5fZuXP1gYjrEDkfBiEiInIqDccQ5eeLEFRTU78OEQORc2EQIiIip9RwlhkDkfNiECIiIqfGQOTcGISIiIjAQOSsGISIiIgaaCkQ5eQA4eGAv7+9qyRrYRAiIiJqQsNAlJcnQlB1NXDmDODhIQKRn5+9q6S2YhAiIiJqgVxev7lrXp7Yy6yqCkhNBby8RCDy9bV3ldRaDEJERERmcHER44TUahGG8vKAigrg9GnA21sEIh8fe1dJluLWc0RERBZwdQUiIoA+fUTXmUwGlJcDp06Jo7zc3hWSJRiEiIiIWsHNDYiMBPr2Fa1EMhlQVgYkJ4tWoooKe1dI5mDXGBERURu4uQHR0WIcUU6O2L5DoxGHr6/oMvPysneV1BwGISIiIitQKOoDUXa22PHeEIhUKhGIPD3tXSVdjEGIiIjIihQKICamPhAVFQGlpeLw9xeByN3d3lWSAYMQERGRDSiVQJcuYqZZVpYIRMXF4ggMFOeVSntXSQxCRERENqRUArGxooUoKwsoKRHdZkVFQFCQCERubvau0nkxCBEREbUDDw+ga1cxmywrS4wdys8XoUitFkHJlZ/K7a5DTJ9PS0vD3LlzERsbCw8PD3Tt2hVLlixBbW1ti4+rrq7G/PnzERgYCG9vb0yfPh25ubntVDUREVFjXl5At25A9+5iIUa9XizQeOQIkJkJaLX2rtC5dIggdPLkSej1eqxcuRLHjh3DG2+8gRUrVuCJJ55o8XEPP/wwfvzxR3z55ZfYunUrsrKyMG3atHaqmoiIqHk+PkCPHkB8vJhNpteL6fdHj4oWI53O3hU6B5kkSZK9i2iNV155BR988AHOnDnT5P2lpaVQq9VYu3YtbrjhBgAiUPXs2RO7du3CZZddZtbraDQaqFQqlJaWwpebyRARkY2UlIgAVFUlbru4iJWrg4PF92QZcz+/O0SLUFNKS0sREBDQ7P379u1DXV0dxo8fbzyXkJCA6Oho7Nq1qz1KJCIiMpufH9CrFxAXJ8YT6XQiGB09KlqK9Hp7V9g5dchhWSkpKXjnnXfw6quvNntNTk4OFAoF/Pz8TM6HhIQgJyen2cfV1NSgpqbGeFuj0bS5XiIiInP5+4ujuFgEoepqMXYoL08MqDZs50HWYdcWoccffxwymazF4+TJkyaPyczMxKRJk3DjjTfirrvusnpNy5Ytg0qlMh5RUVFWfw0iIqJL8fcXLURduogp+HV1wPnzooWooADomANbHI9dxwjl5+ejsLCwxWvi4uKgUCgAAFlZWRg7diwuu+wyrFmzBnJ58znuzz//xLhx41BcXGzSKhQTE4OHHnoIDz/8cJOPa6pFKCoqimOEiIjIbiRJhJ/sbBGIALE6dXi4CEzUmLljhOzaNaZWq6FWq826NjMzE5dffjkSExOxevXqFkMQACQmJsLNzQ2bNm3C9OnTAQDJyclIT09HUlJSs49TKpVQcqlPIiJyIDKZ6BILDBRrD+XkiC6zM2fEeKKICLGfGVmuQwyWzszMxNixYxEdHY1XX30V+fn5yMnJMRnrk5mZiYSEBOzZswcAoFKpMHfuXCxYsACbN2/Gvn37MGfOHCQlJZk9Y4yIiMiRyOViJlmfPqI1yMVFzDJLSQFOnhSLNJJlOsRg6Y0bNyIlJQUpKSmIjIw0uc/Qs1dXV4fk5GRUVlYa73vjjTcgl8sxffp01NTUYOLEiXj//ffbtXYiIiJrc3ERW3Oo1WIxxrw8sWL16dNikcbwcLFOEV1ah11HqL1wHSEiInJ0dXUiEOXn10+z9/ERgcjb27612UunX0eIiIiIBDc3IDJSdJkFB4sxRWVlQHKyaCWqqLB3hY6rQ3SNERER0aW5uQFRUWIcUU6OmGmm0YjDz0+0EHl42LtKx8IgRERE1MkoFEB0tAhE2dlih/uSEnEEBIhAxAnSAoMQERFRJ6VUigUZQ0PFKtXFxUBRkfgaGCgGXF9Yqs9pMQgRERF1cu7uYg+zykoRiEpLRbdZYaGYeRYaKrrVnBGDEBERkZPw9ATi48Xg6cxMMaA6L0+EIkMgcnWyZOBkPy4RERF5eQHdu4tB1FlZIhgZpt8HB4uxRc4SiJzkxyQiIqKL+fqKo7RUBKLKSjHbrGEgcnGxd5W2xSBERETk5FQqcZSUiEBUVSVmm+XliTAUHNx5AxGDEBEREQEQaw35+YlZZVlZYmPXrCwRiEJDxTiiS+x53uEwCBEREZEJf//6QJSdLQJRRoYYRxQWBgQFidWrOwMGISIiImpEJhOLL/r7i7WHsrKA2logPV2MIwoLE2sRdfRAxCBEREREzZLJROAJCBDT7LOzRSA6d66+hSggwN5Vth6DEBEREV2STCbGCAUGilllOTmiy+zs2foWIn9/e1dpOQYhIiIiMptcLmaSBQWJQdS5uWKW2ZkzYkPX8HAxvqijYBAiIiIii7m4iFag4GARhvLyRCBKTRUrWIeFdYxAxCBERERErebiIlqBgoPrW4gqK+sDUXi4WKPIUTEIERERUZu5utYHIkMLUWUlkJIitvQIDxerWDsaBiEiIiKyGldXICJCjCMybNdRUQGcPg14e4v7vL3tXWW9TrY+JBERETkCV1cgMhLo00e0EslkQHk5kJwsQlFFhb0rFNgiRERERDbj5gZERdW3EBUUiF3vNRoxmDo8XMw2sxe2CBEREZHNKRRAdDTQu7dYiwgQm7wePy4WabQXBiEiIiJqN0ol0KWLCESGFal9fOxXD7vGiIiIqN25uwOxsaJrTKm0Xx1sESIiIiK7sWcIAhiEiIiIyIkxCBEREZHTYhAiIiIip8UgRERERE6LQYiIiIicFoMQEREROS0GISIiInJaDEJERETktBiEiIiIyGkxCBEREZHTYhAiIiIip8UgRERERE6LQYiIiIiclqu9C3B0kiQBADQajZ0rISIiInMZPrcNn+PNYRC6hLKyMgBAVFSUnSshIiIiS5WVlUGlUjV7v0y6VFRycnq9HllZWfDx8YFMJmt0v0ajQVRUFM6fPw9fX187VOjY+P40j+9Ny/j+NI/vTcv4/rTMWd4fSZJQVlaG8PBwyOXNjwRii9AlyOVyREZGXvI6X1/fTv0L1VZ8f5rH96ZlfH+ax/emZXx/WuYM709LLUEGHCxNRERETotBiIiIiJwWg1AbKZVKLFmyBEql0t6lOCS+P83je9Myvj/N43vTMr4/LeP7Y4qDpYmIiMhpsUWIiIiInBaDEBERETktBiEiIiJyWgxCRERE5LQYhFopLS0Nc+fORWxsLDw8PNC1a1csWbIEtbW1JtcdPnwYo0aNgru7O6KiovDyyy/bqeL29+KLL2L48OHw9PSEn59fk9ekp6dj8uTJ8PT0RHBwMB555BFotdr2LdRO3nvvPXTp0gXu7u4YNmwY9uzZY++S7GLbtm2YMmUKwsPDIZPJ8N1335ncL0kSnnnmGYSFhcHDwwPjx4/H6dOn7VNsO1u2bBmGDBkCHx8fBAcH47rrrkNycrLJNdXV1Zg/fz4CAwPh7e2N6dOnIzc3104Vt58PPvgA/fr1My4KmJSUhF9//dV4v7O+L81Zvnw5ZDIZHnroIeM5vkcCg1ArnTx5Enq9HitXrsSxY8fwxhtvYMWKFXjiiSeM12g0GkyYMAExMTHYt28fXnnlFSxduhSrVq2yY+Xtp7a2FjfeeCPuvffeJu/X6XSYPHkyamtrsXPnTnz66adYs2YNnnnmmXautP2tX78eCxYswJIlS7B//370798fEydORF5enr1La3cVFRXo378/3nvvvSbvf/nll/H2229jxYoV2L17N7y8vDBx4kRUV1e3c6Xtb+vWrZg/fz7+/vtvbNy4EXV1dZgwYQIqKiqM1zz88MP48ccf8eWXX2Lr1q3IysrCtGnT7Fh1+4iMjMTy5cuxb98+7N27F1dccQWmTp2KY8eOAXDe96Up//zzD1auXIl+/fqZnOd7dIFEVvPyyy9LsbGxxtvvv/++5O/vL9XU1BjPPfbYY1KPHj3sUZ7drF69WlKpVI3O//LLL5JcLpdycnKM5z744APJ19fX5D3rjIYOHSrNnz/feFun00nh4eHSsmXL7FiV/QGQvv32W+NtvV4vhYaGSq+88orxXElJiaRUKqX//e9/dqjQvvLy8iQA0tatWyVJEu+Fm5ub9OWXXxqvOXHihARA2rVrl73KtBt/f3/po48+4vvSQFlZmdStWzdp48aN0pgxY6QHH3xQkiT+7jTEFiErKi0tRUBAgPH2rl27MHr0aCgUCuO5iRMnIjk5GcXFxfYo0aHs2rULffv2RUhIiPHcxIkTodFojH/VdUa1tbXYt28fxo8fbzwnl8sxfvx47Nq1y46VOZ6zZ88iJyfH5L1SqVQYNmyYU75XpaWlAGD8d2bfvn2oq6szeX8SEhIQHR3tVO+PTqfDunXrUFFRgaSkJL4vDcyfPx+TJ082eS8A/u40xE1XrSQlJQXvvPMOXn31VeO5nJwcxMbGmlxn+NDPycmBv79/u9boaHJyckxCEGD6/nRWBQUF0Ol0Tf7sJ0+etFNVjsnwe9DUe9WZf0eaotfr8dBDD2HEiBHo06cPAPH+KBSKRmPwnOX9OXLkCJKSklBdXQ1vb298++236NWrFw4ePOjU74vBunXrsH//fvzzzz+N7nP2352G2CJ0kccffxwymazF4+IPq8zMTEyaNAk33ngj7rrrLjtV3j5a8/4QUdvNnz8fR48exbp16+xdisPo0aMHDh48iN27d+Pee+/FrFmzcPz4cXuX5RDOnz+PBx98EF988QXc3d3tXY5DY4vQRRYuXIjZs2e3eE1cXJzx+6ysLFx++eUYPnx4o0HQoaGhjUbgG26HhoZap+B2Zun705LQ0NBGM6U6+vtjjqCgILi4uDT5u9GZf+7WMLwfubm5CAsLM57Pzc3FgAED7FRV+7v//vvx008/Ydu2bYiMjDSeDw0NRW1tLUpKSkz+sneW3yWFQoH4+HgAQGJiIv755x+89dZbmDFjhlO/L4Do+srLy8OgQYOM53Q6HbZt24Z3330Xv/32m9O/RwYMQhdRq9VQq9VmXZuZmYnLL78ciYmJWL16NeRy0wa2pKQkPPnkk6irq4ObmxsAYOPGjejRo0eH7Raz5P25lKSkJLz44ovIy8tDcHAwAPH++Pr6olevXlZ5DUekUCiQmJiITZs24brrrgMguj02bdqE+++/377FOZjY2FiEhoZi06ZNxuCj0WiMLQCdnSRJeOCBB/Dtt99iy5YtjbraExMT4ebmhk2bNmH69OkAgOTkZKSnpyMpKckeJduVXq9HTU0N3xcA48aNw5EjR0zOzZkzBwkJCXjssccQFRXl9O+Rkb1Ha3dUGRkZUnx8vDRu3DgpIyNDys7ONh4GJSUlUkhIiHTHHXdIR48eldatWyd5enpKK1eutGPl7efcuXPSgQMHpGeffVby9vaWDhw4IB04cEAqKyuTJEmStFqt1KdPH2nChAnSwYMHpQ0bNkhqtVpavHixnSu3vXXr1klKpVJas2aNdPz4cenuu++W/Pz8TGbQOYuysjLj7wYA6fXXX5cOHDggnTt3TpIkSVq+fLnk5+cnff/999Lhw4elqVOnSrGxsVJVVZWdK7e9e++9V1KpVNKWLVtM/o2prKw0XnPPPfdI0dHR0p9//int3btXSkpKkpKSkuxYdft4/PHHpa1bt0pnz56VDh8+LD3++OOSTCaTfv/9d0mSnPd9aUnDWWOSxPfIgEGolVavXi0BaPJo6NChQ9LIkSMlpVIpRURESMuXL7dTxe1v1qxZTb4/mzdvNl6TlpYmXXXVVZKHh4cUFBQkLVy4UKqrq7Nf0e3onXfekaKjoyWFQiENHTpU+vvvv+1dkl1s3ry5yd+TWbNmSZIkptA//fTTUkhIiKRUKqVx48ZJycnJ9i26nTT3b8zq1auN11RVVUn33Xef5O/vL3l6ekrXX3+9yR9kndWdd94pxcTESAqFQlKr1dK4ceOMIUiSnPd9acnFQYjvkSCTJElqxwYoIiIiIofBWWNERETktBiEiIiIyGkxCBEREZHTYhAiIiIip8UgRERERE6LQYiIiIicFoMQEREROS0GISJqV2vWrGm047Wj2LRpE3r27AmdTtfsNUuXLm3Xfc4ef/xxPPDAA+32ekTOhkGIiKxq9uzZkMlkkMlkxk0xn3vuOWi1WnuXdkmPPvoonnrqKbi4uNi7FKNFixbh008/xZkzZ+xdClGnxCBERFY3adIkZGdn4/Tp01i4cCGWLl2KV155xd5ltWjHjh1ITU01bkDpKIKCgjBx4kR88MEH9i6FqFNiECIiq1MqlQgNDUVMTAzuvfdejB8/Hj/88IPJNb/99ht69uwJb29vY3Ay+Oeff3DllVciKCgIKpUKY8aMwf79+433S5KEpUuXIjo6GkqlEuHh4fj3v/9tvL+mpgaLFi1CREQEvLy8MGzYMGzZsqXFmtetW4crr7wS7u7uJueXL1+OkJAQ+Pj4YO7cuaiurja5/1K13nnnnbjmmmtMHlNXV4fg4GB8/PHHAICvvvoKffv2hYeHBwIDAzF+/HhUVFQYr58yZQrWrVvXYv1E1DoMQkRkcx4eHqitrTXerqysxKuvvor//ve/2LZtG9LT07Fo0SLj/WVlZZg1axZ27NiBv//+G926dcPVV1+NsrIyAMDXX3+NN954AytXrsTp06fx3XffoW/fvsbH33///di1axfWrVuHw4cP48Ybb8SkSZNw+vTpZmvcvn07Bg8ebHLu//7v/7B06VL85z//wd69exEWFob333/f5JpL1Tpv3jxs2LDBJOj99NNPqKysxIwZM5CdnY1bbrkFd955J06cOIEtW7Zg2rRpaLgN5NChQ5GRkYG0tDQL3nUiMot993wlos5m1qxZ0tSpUyVJEjvHb9y4UVIqldKiRYskSZKk1atXSwCklJQU42Pee+89KSQkpNnn1Ol0ko+Pj/Tjjz9KkiRJr732mtS9e3eptra20bXnzp2TXFxcpMzMTJPz48aNkxYvXtzsa6hUKumzzz4zOZeUlCTdd999JueGDRsm9e/f3+xaJUmSevXqJb300kvG21OmTJFmz54tSZIk7du3TwIgpaWlNfucpaWlEgBpy5YtzV5DRK3DFiEisrqffvoJ3t7ecHd3x1VXXYUZM2Zg6dKlxvs9PT3RtWtX4+2wsDDk5eUZb+fm5uKuu+5Ct27doFKp4Ovri/LycqSnpwMAbrzxRlRVVSEuLg533XUXvv32W+Ng7CNHjkCn06F79+7w9vY2Hlu3bkVqamqzNVdVVTXqFjtx4gSGDRtmci4pKcnk9qVqBUSr0OrVq43X//rrr7jzzjsBAP3798e4cePQt29f3Hjjjfjwww9RXFxs8hoeHh4AREsaEVmXq70LIKLO5/LLL8cHH3wAhUKB8PBwuLqa/lPj5uZmclsmk5l0Bc2aNQuFhYV46623EBMTA6VSiaSkJGP3WlRUFJKTk/HHH39g48aNuO+++/DKK69g69atKC8vh4uLC/bt29do9pe3t3ezNQcFBTUKIOa4VK0AMHPmTDz++OPYtWsXdu7cidjYWIwaNQoA4OLigo0bN2Lnzp34/fff8c477+DJJ5/E7t27ERsbCwAoKioCAKjVaovrI6KWsUWIiKzOy8sL8fHxiI6ObhSCzPHXX3/h3//+N66++mr07t0bSqUSBQUFJtd4eHhgypQpePvtt7Flyxbs2rULR44cwcCBA6HT6ZCXl4f4+HiTIzQ0tNnXHDhwII4fP25yrmfPnti9e7fJub///tviWgMDA3Hddddh9erVWLNmDebMmWNyv0wmw4gRI/Dss8/iwIEDUCgU+Pbbb433Hz16FG5ubujdu/el3zwisghbhIjI4XTr1g3//e9/MXjwYGg0GjzyyCPG7iFALMqo0+kwbNgweHp64vPPP4eHhwdiYmIQGBiI2267DTNnzsRrr72GgQMHIj8/H5s2bUK/fv0wefLkJl9z4sSJ+PTTT03OPfjgg5g9ezYGDx6MESNG4IsvvsCxY8cQFxdndq0G8+bNwzXXXAOdTodZs2YZz+/evRubNm3ChAkTEBwcjN27dyM/Px89e/Y0XrN9+3aMGjWqyeclorZhixAROZyPP/4YxcXFGDRoEO644w78+9//RnBwsPF+Pz8/fPjhhxgxYgT69euHP/74Az/++CMCAwMBAKtXr8bMmTOxcOFC9OjRA9dddx3++ecfREdHN/uat912G44dO4bk5GTjuRkzZuDpp5/Go48+isTERJw7dw733nuvRbUajB8/HmFhYZg4cSLCw8ON5319fbFt2zZcffXV6N69O5566im89tpruOqqq4zXrFu3DnfddZflbyQRXZJMatgxT0TkxB555BFoNBqsXLnS6s9dXl6OiIgIrF69GtOmTTP7cb/++isWLlyIw4cPt6qbkYhaxhYhIqILnnzyScTExECv11vtOfV6PfLy8vD888/Dz88P1157rUWPr6iowOrVqxmCiGyELUJERDaUlpaG2NhYREZGYs2aNRg3bpy9SyKiBhiEiIiIyGmxa4yIiIicFoMQEREROS0GISIiInJaDEJERETktBiEiIiIyGkxCBEREZHTYhAiIiIip8UgRERERE6LQYiIiIic1v8DSailKP6shboAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from caat.utils import WLE\n", "\n", "\n", "sn = SN(name=\"SN2020rsc\")\n", "\n", "model.fit_photometry(\n", " sn_to_fit=sn, \n", " show=True,\n", " nsamples=1,\n", " keep_new_fit=True\n", ")\n", "\n", "model.predict_lightcurve(\n", " phase_min=-18,\n", " phase_max=45,\n", " wavelength=WLE[\"U\"],\n", " show=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The new fit has extrapolated a light curve in a new band! As you can see, the shape closely follows the shapes of the light curves in the other filters, with reasonably large error bars at late phases. Similarly, you can use the `predict_photometry_points` method in a similar manner. This demonstrates the predictive power of these GPR models!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Next steps:\n", "\n", "These GP model surfaces can be manipulated in a number of ways. The `SNModel` object saves all information needed to generate the underlying `sklearn` `GaussianProcessRegressor` object, which allows for repeated GP fits to new or existing data. The above features are just a sample of what can be done with these novel models." ] } ], "metadata": { "kernelspec": { "display_name": "nasa-adap", "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": "3.11.11" } }, "nbformat": 4, "nbformat_minor": 2 }