{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Pressure-Temperature Profiles\n", "\n", "In this notebook, we summarise the main pressure-temperature (P-T) profiles in POSEIDON.\n", "\n", "1. Madhu\n", "- From Madhusudhan & Seager (2009), Equations 1 and 2 (https://ui.adsabs.harvard.edu/abs/2009ApJ...707...24M/abstract)\n", "2. Guillot \n", "- From Guillot (2010), Equation 29 (https://ui.adsabs.harvard.edu/abs/2010A%26A...520A..27G/abstract)\n", "- Two versions: Guillot (redistribution factor f = 0.25 for terminators or directly imaged exoplanets) and Dayside Guillot (f = 0.5 for hot Jupiter daysides)\n", "3. Line\n", "- From Line et al (2013), Equation 13 (https://ui.adsabs.harvard.edu/abs/2013ApJ...775..137L/abstract)\n", "4. Pelletier\n", "- From Pelletier et al (2021), (Section 3.5) (https://ui.adsabs.harvard.edu/abs/2021AJ....162...73P/abstract)\n", "- Uses 'knots' to fit the PT profile with a second derivative penalty. Used for retrievals. \n", "5. Slope\n", "- From Piette & Madhusudhan (2021) (https://ui.adsabs.harvard.edu/abs/2020MNRAS.497.5136P/abstract)\n", "\n", "Other, more simple, profiles (such as an isotherm or gradient profile are also covered in previous tutorials).\n", "\n", "If you use any of the following profiles, please cite the pertinent work above." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Configure Forward Model**\n", "\n", "We use HD 189733b to showcase how to define the new PT profiles" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from POSEIDON.constants import R_Sun, R_J, M_J\n", "from POSEIDON.core import create_star, create_planet, define_model, wl_grid_constant_R\n", "import numpy as np\n", "\n", "#***** Model wavelength grid *****#\n", "\n", "wl_min = 0.2 # Minimum wavelength (um)\n", "wl_max = 30 # Maximum wavelength (um)\n", "R = 5000 # Spectral resolution of grid\n", "\n", "# We need to provide a model wavelength grid to initialise instrument properties\n", "wl_1 = np.linspace(wl_min, 1.0, 1000)[:-1]\n", "wl_2 = wl_grid_constant_R(1.0, wl_max, R)\n", "wl_2 = wl_2[1:] # Indexing to avoid 1.0 um being repeated twice\n", "wl = np.concatenate((wl_1, wl_2))\n", "\n", "#***** Define planet properties *****#\n", "\n", "planet_name = 'HD 189733b' # Planet name used for plots, output files etc.\n", "\n", "R_p = 1.13*R_J # Planetary radius (m)\n", "M_p = 1.129*M_J # Planetary mass (kg)\n", "T_eq = 1200 # Equilibrium temperature (K)\n", "\n", "planet = create_planet(planet_name, R_p, mass = M_p, T_eq = T_eq)\n", "\n", "#***** Define stellar properties *****#\n", "\n", "R_s = 0.78*R_Sun # Stellar radius (m)\n", "T_s = 5014 # Stellar effective temperature (K)\n", "Met_s = 0.13 # Stellar metallicity [log10(Fe/H_star / Fe/H_solar)] <--- note: for PHOENIX, only the solar metallicity models are used \n", "log_g_s = 4.58 # Stellar log surface gravity (log10(cm/s^2) by convention)\n", "\n", "# Create the stellar object\n", "star = create_star(R_s, T_s, log_g_s, Met_s, wl = wl, stellar_grid = 'phoenix')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Madhusudhan & Seager\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This profile has six free parameters: $a_1$, $a_2$, $\\log P_1$, $\\log P_2$, $\\log P_3$, and $T_{\\rm{ref}}$.\n", "\n", "With the six parameters, a three region pressure-temperature profile is formulated.\n", "\n", "$P = P_0 e^{a_1 \\sqrt{T-T_0}} \\qquad (P_0 < P < P_1) \\qquad (\\mathrm{Region~1})$\n", "\n", "$P = P_2 e^{a_2 \\sqrt{T-T_2}} \\qquad (P_1 < P < P_3) \\qquad (\\mathrm{Region~2})$\n", "\n", "$T = T_3 \\qquad (P < P_3) \\qquad (\\mathrm{Region~3})$\n", "\n", "where $P_0$ and $T_0$ are the pressure and temperature at the top of the atmosphere, $P_{1,3}$ and $T_{1,3}$ are specified at region boundaries, and $P_2$ and $T_2$ encode a potential temperature inversion point. \n", "\n", "Temperature gradients are controlled by $a_1$ and $a_2$.\n", "\n", "The regions are defined by $P_1$, $P_2$, $P_3$ ($P_0$ is given by the top of atmosphere pressure).\n", "\n", "We note that POSEIDON allows the user to specify an arbitrary reference pressure at which the $T_{\\rm{ref}}$ parameter is defined, while the original Madhusudhan & Seager (2009) paper fixed this parameter to the top-of-atmosphere ($T_0$)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['a1' 'a2' 'log_P1' 'log_P2' 'log_P3' 'T_ref']\n" ] } ], "source": [ "# Madhusudhan & Seager \n", "\n", "model_name_Madhu = 'Madhu'\n", "\n", "bulk_species = ['H2', 'He']\n", "param_species = []\n", "\n", "# Create the model object\n", "model_Madhu = define_model(model_name_Madhu, bulk_species, param_species, \n", " PT_profile = 'Madhu')\n", "\n", "print(model_Madhu['PT_param_names'])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from POSEIDON.core import make_atmosphere\n", "\n", "# Atmospheric pressure grid\n", "P_min = 1.0e-6 # 1 ubar\n", "P_max = 100 # 100 bar\n", "N_layers = 100 # 100 layers\n", "\n", "# Let's space the layers uniformly in log-pressure\n", "P = np.logspace(np.log10(P_max), np.log10(P_min), N_layers)\n", "\n", "# Specify the reference pressure\n", "P_ref = 1 # The R_p_ref parameter will be the radius at 1 bar\n", "\n", "# Free parameters\n", "R_p_ref = 1.12 * R_J\n", "\n", "a1 = 0.48 \n", "a2 = 0.21 \n", "log_P1 = -4.04 \n", "log_P2 = -2.40 \n", "log_P3 = 1.33 \n", "T_ref = 1221.6 \n", "\n", "P_Madhu = 1.0e-2 # Pressure where T_ref is defined\n", "\n", "PT_params = np.array([a1,a2,log_P1,log_P2,log_P3,T_ref])\n", "log_X_params = np.array([])\n", "cloud_params = np.array([])\n", "\n", "atmosphere_Madhu = make_atmosphere(planet, model_Madhu, P, P_ref, R_p_ref, \n", " PT_params, log_X_params, cloud_params,\n", " P_param_set = P_Madhu, # <---- This default to 1e-2 bar for T_ref if not set\n", " )" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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RlEUbmJQb7iYszE+SdOwYZREAnAGTcpuMSbnhboKDL5bF9PTzJicBAJQGk3IDsCt/f29J0pkz2SYnAQA4GsoiAPn7+0iSTp/mARcAQGGURQCqWvViWWRkEQDwd5RFAH8ZWaQsAgAKoywCoCwCAIpFWbSBqXPgbry8LJKk3Nx8k5MAAEqDqXNMxtQ5cDeX3vJnsVjMDQIAKBWmzgFgV5feCe3hQVkEABRGWQSg/P9/9ZmBRQDA31EWARSMLHIZGgDwd5RFAMrP5zI0AMA2yqINPA0Nd3Pq1AVJUmCgj8lJAAClwdPQJuNpaLibtLQsSVJYWGWTkwAASoOnoQHY1fHj5yRJoaF+JicBADgayiIARhYBAMWiLALQ8eOXyiIjiwCAwiiLNvCAC9xNaupZSYwsAoCzsOcDLhbj0gRrUGZmpgIDA5WRkcEDLnArrVtP1/79mUpNHWx2FABAKdmrtzCyCLi5/HxDv/xyQo0bh5odBQDggNyqLO7du1cBAQFatWqV2VEAh7F/f4bOns2hLAIAbHKbspifn6+33npLjRo1uuy23LMId7JjxwlJoiwCgBOx5z2LDlUW09LS1LdvX9WpU8fm+okTJ6p58+Zq166dunbtqoMHD5Z632PHjtVjjz2mSpUqXXbb5ORkJSQklHrfgDPbsSNNktSoEWURAJxFQkKCkpOT7XIshymLO3bsUGJiokJCQmTrmZv58+dr1KhRWrZsmdasWaM2bdqoZ8+eys/Pv+y+t2zZIklq1qxZOacGnN+mTamyWKRGjULMjgIAcEAO87q/0NBQWa1WzZw5U19//XWR9WPGjFH//v0VGnpx9GPo0KF67bXXtHz5csXHx0uS2rRpU+RztWvXVpMmTSRJb775pg4cOKAZM2YoLy9PcXFxNrMkJSWpe/fujC7C5eXl5eu77w6qZcsIBQRcftQdAOAYrFarFi9ebJdjOUxZjIiIKHZddna2NmzYoEGDBhUsCwoKUnR0tFavXl1QFtetW3fZ4yxdulT9+vXTzTffXOw2vBsa7uLnn4/p5MnzuvXWaLOjAADKgHdD/01aWppyc3MVHBxcaHlwcLBSUlJKvZ8PP/xQ+/fv19SpU/X777+Xd0zA6Xz77X5JoiwCAIrlMCOLpWGxWEq1rDiPPvqoHn300fKMBDi1b7/dLz8/L7VrV93sKAAAB+UUZTEsLExeXl5KT08vtDw9Pb3Ey9dXKikpST4+PpIuDvNy7yJcUVZWjlatOqy4uCj5+jrFXwUA4PasVmvB9H7Z2dl2OaZT/B/C29tbMTEx2rZtW8GyjIwM7d+/X+3bty/343HPItzB0qX7dOFCnhISapsdBQBQSn8dxMrMzOSexb8aMWKEpk+frhMnLk4gPH78eDVt2lSdO3c2ORngnKZP/1UWi3TPPQ3MjgIAcGAOM7KYlZWlLl26KDU1VampqerYsaMSExM1ZMgQSVLv3r2Vmpqq+Ph4+fr6KigoSIsWLZKHh9P0XcBhnDp1Xl99tUcdO0apRg1/s+MAAByYw5RFPz8/rVixosRtBg8erMGDB9snEODC5s3bqezsPPXrd4PZUQAADo5hOcANzZjxqypV8tRdd11rdhQAgIOjLAJu5tCh01qx4qDuuKOugoJ8zY4DAHBwlEXAzXz44VYZhvTAA43NjgIAcAKURcCNXLiQqw8+2KbatQPUtWsds+MAAJwAZRFwI7Nn/6Fjx85pyJDm8vTk1x8AcHn83wJwE4ZhaNy4zapc2UsPPdTE7DgAACdBWQTcxPr1Kdq48aj6979B1arxYAsAoHQoi4CbeO+9zZKkIUOam5wEAOBMKIuAG9i9+5Rmz/5Dt94arSZNwsyOAwBwIpRFwA28/fYG5ecbSkpqbXYUAICToSwCLu7IkTOaMmWHWreOVMeOUWbHAQA4Gcoi4OLGjt2o7Ow8JSW1lsViMTsOAMDJUBYBF3by5HlNmrRVjRqF6I476pkdBwDghCiLgAsbN26zzpzJ0QsvtJaHB6OKAICyoywCLioj44L+/e9NqlcvSPfcc73ZcQAATsrL7AAAKsa4cZt16tQFjR3bSV5e/LsQAHBl+D+IDUlJSbJarWbHAK5YZuYFjR27SXXrBqp//xvMjgMAKGdWq1VJSUl2OZbFMAzDLkdyApmZmQoMDFRGRoYCAgLMjgNcsdGj1+mll1bp448TeA80ALgoe/UWRhYBF3P6dLbefXej6tQJ1P33M6oIALg6lEXAxfznPz8rPf28kpJay9vb0+w4AAAnR1kEXMiZM9l6552Nio4O0IABjcyOAwBwAZRFwIVMmPCzTpzIUlJSa/n4MKoIALh6lEXARZw5k60xYzaqVi1/DRzY2Ow4AAAXwTyLgIt4//0tSkvL0vvv38qoIgCg3DCyCLiAs2ez9fbbGxQV5a8HH2RUEQBQfhhZBFzAhx9u0/HjWZowobMqVeLXGgBQfhhZBJzchQu5GjNmoyIjqzABNwCg3FEWASf36ae/6MiRMxoxIka+vowqAgDKF2URcGI5OXl68831Cgnx02OPNTU7DgDABVEWbUhKSpLVajU7BnBZM2f+rn37MvX00zepShUfs+MAAOzEarUqKSnJLseyGIZh2OVITsBeL+QGykN+vqFGjaboyJEz2r//UQUF+ZodCQBgR/bqLYwsAk5q8eLd+v33dA0e3IyiCACoMJRFwEm9/fYG+fh4aujQm8yOAgBwYZRFwAmtXXtEq1cfVv/+DRUZWdXsOAAAF0ZZBJzQmDEbJEkjRsSYnAQA4Oooi4CT2bnzpBYs2Kk77qirhg1DzI4DAHBxlEXAyYwdu1GGwagiAMA+KIuAEzl16rw+++wXtWgRrg4dapodBwDgBiiLNjApNxzVlCk7dO5crp58srksFovZcQAAJmFSbpMwKTccWX6+oeuu+1gZGRd08OBjvAcaANwck3IDKGTJkj3avfuUHnmkKUURAGA3lEXASfznPz/L09OiQYNuNDsKAMCNUBYBJ7Br10ktXbpPd95ZX1FR3CIBALAfyiLgBD7+eLsk6fHHm5kbBADgdiiLgIPLycnTp5/+ojp1AnXLLbXMjgMAcDOURRuYOgeO5Ouv9yg19awefriJPDyYLgcAwNQ5pmHqHDiiO+6YryVL9urgwcdUvXpVs+MAABwEU+cA0KFDp7VkyV5161aXoggAMAVlEXBgU6f+ovx8Qw8/3MTsKAAAN0VZBByUYRiaPv1XhYb6qWvXOmbHAQC4Kcoi4KC2bDmm335L1z33NJC3t6fZcQAAboqyaANPQ8MRzJjxmySpX78bTE4CAHA0PA1tEp6GhqPIy8tXVNQH8vPz0q5d/5DFwpQ5AIDCeBoacGMrVhxUSspZ9evXkKIIADAVZRFwQLNm/S5Juu++hiYnAQC4O8oi4GDy8vK1cOEuNW4cquuvDzE7DgDAzVEWbeABF5hp1arDSkvLUu/e15odBQDgoHjAxSQ84AJH8NRT32ncuM3asmWAbrzxGrPjAAAcFA+4AG4oP9/Q/Pk7Va9ekJo2DTM7DgAA8jI7gD1kZWXp3nvvVdu2bfXbb78pNjZWDz/8sNmxgCI2bkzVoUOn9eyzMTwFDQBwCG5RFvPz89WzZ089+OCDOnPmjKKiokosi0lJSerevbsSEhLsmBKQFi/eLUm68876JicBADgyq9WqxYsX2+VYDnXPYlpamoYMGaL169dr7969RdZPnDhRkydPlp+fn4KCgvTBBx8oKiqqTMf45Zdf9Mgjj2jNmjVF1nHPIszWosU07duXoWPHBsvTk7tEAADFc7t7Fnfs2KHExESFhITIVn+dP3++Ro0apWXLlmnNmjVq06aNevbsqfz8/FIfY/LkyXr88cf19ttvl2d0oFykpp7V5s1HddtttSmKAACH4TD/RwoNDZXValVMTIzN9WPGjFH//v0VGhoqSRo6dKi2bt2q5cuXF2zTpk2bIl99+/YtWP/II4/IarXqoYce0tGjR4vNwtQ5MIPVenE0vWvXOiYnAQA4OntOneMw9yxGREQUuy47O1sbNmzQoEGDCpYFBQUpOjpaq1evVnx8vCRp3bp1Nj//66+/6uzZs4qJiVHlypVVuXJlHTt2TOHh4Ta3T05O5jI07G7JkotlMSGhtrlBAAAOLyEhQW3bttWECRMq/FgOUxZLkpaWptzcXAUHBxdaHhwcrJSUlMt+3sfHR8nJyWrcuLGOHDmiLl26qEmTJhUVFyizvLx8ffPNfrVsGa5rrqlidhwAAAo4RVm8xNZUIqWZXqR+/fqaPn16RUQCysXPPx/TyZPnddttN5odBQCAQpyiLIaFhcnLy0vp6emFlqenp5d4+fpKJSUlycfHR9LFYV6m0EFFW7HioCSpU6daJicBADgyq9Va8FxFdna2XY7pFGXR29tbMTEx2rZtW8GyjIwM7d+/X+3bty/343HPIuxtxYqD8vb2UNu2kWZHAQA4sL8OYmVmZtrlnkWHeRr6ckaMGKHp06frxIkTkqTx48eradOm6ty5s8nJgKuTm5uvlSsPqVWrSFWp4mN2HAAACnGYkcWsrCx16dJFqampSk1NVceOHZWYmKghQ4ZIknr37q3U1FTFx8fL19dXQUFBWrRokTw8nKbvAjZt2XJMmZnZ6tixbBPMAwBgDw5TFv38/LRixYoStxk8eLAGDx5sn0CAnVy6X5GyCABwRAzLASZbu/aIPDwsatOG+xUBAI6HsgiYbP36FDVuHKqqVblfEQDgeCiLgIkOHz6tw4fPqHVrRhUBAI6JsgiYaP36i28goiwCABwVZREw0f/KYvlPLg8AQHko9dPQf/75p2bNmqWVK1fqzz//1IkTJ5Sdna3KlSurevXqatSokW677Tbdc889TGgNlNJPP6WqalVvNWwYYnYUAABsshiGYZS0wbFjx/Tkk09q7ty5MgxD11xzjSIiIlSlShV5eXkpOztbp06d0uHDh3XmzBlVqVJFL730kp5//nl7/QzlJjMzU4GBgcrIyKDwosIZhqGQkAm64YYQrVp1r9lxAABOxl69pcSRxQMHDig2NlY1atTQF198oc6dO6tatWrFbr9nzx7Nnz9f7777rjZt2qTZs2eXe2DAVRw5ckYnT55X06ahZkcBAKBYxd6zaBiG+vTpo+HDh2vNmjVKTEwssShKUt26dTVixAjt2rVLZ86c0b/+9a9yDwy4im3bjkuSmjYNMzkJAADFK3ZkMSsrS5MmTVLz5s3LvNPKlStr4cKF2rp161WFA1wZZREA4AyKLYuVK1cuUhRff/11SVLXrl3VsmXLEnfs4+OjmJiYcogIuKZt29IkSY0bcxkaAOC4yjR1zsiRI7VixQrl5+dXVB7AbezYkabo6AAFBFQyOwoAAMUq9dQ5khQcHKxly5bJ09OzovIAbsEwDO3ceVKxsTXNjgIAQInKNLJ4/fXX6+zZsyVu89JLL11VIMAdHDlyRllZubr22iCzowAAUKIylcX/+7//0+OPP66jR48Wu80nn3xy1aEAV7dz50lJUv36Jc8wAACA2cp0Gfrll1/WgQMHVKtWLdWvX19hYWHy8CjcN9PT08s1IOCKdu48JUmMLAIAHF6ZyuKPP/6oqKgoVa9eXefOndP+/fuLbJOXl1du4cySlJSk7t27KyEhwewocFG7dl0cWbz2WkYWAQBlZ7VatXjxYrsc67Kv+/uryMhIpaSkXPU2jorX/cFe+vRZpHnz/tT588Pk48MDYwCAsrNXbynTPYtvvfXWZbf59NNPrzQL4DYOHTqtiIgqFEUAgMMrU1m8//77L7vNhg0brjgM4C4OHTqjGjWqmh0DAIDLKlNZ/KvTp0/rwIEDhb7279+v8ePHl2c+wOXk5eUrJeWMatb0NzsKAACXVaYHXCRp0qRJGj16tI4cOVIReQCXd/ToOeXlGZRFAIBTKFNZ/M9//qNnnnlGiYmJql+/vsaOHasRI0ZIkg4cOKCZM2fqoYceqpCggKs4dOi0JHEZGgDgFMpUFidNmqSZM2fqrrvukiR99NFHevXVVwvW33PPPZo9e3b5JgRczNGj5yRJkZFVTE4CAMDllemexSNHjhQUReni+23/6rbbbtO6devKJxngok6cyJIkhYT4mZwEAIDLK1NZrFq1qnJzcwt9/9c5FU+dOqWDBw+WXzrABV0qi8HBviYnAQDg8spUFhs0aKAXXnihoDA2b95cDz30kDZt2qRNmzapf//+uvbaayskKOAq0tPPS2JkEQDgHMp0z2K/fv307LPP6rffftNXX32lZ599VjfffLNatWolSfLw8NDcuXMrJCjgKk6cuFQWGVkEADi+MpXFgQMHauDAgQXfx8TEaNWqVZoxY4Z8fX3Vq1cvtW7durwzAi7l0mXooCDKIgDA8ZV5nsW/i4mJUUxMTHlkcRhJSUnq3r27EhISzI4CF3T6dLaqVPGWl9cVz4kPAHBzVqtVixcvtsuxLMbfH2kuhT///FOLFi3S3r17JUl169bVHXfcoQYNGpR7QHuy1wu54d7i4mbpt99O6NixJ8yOAgBwYvbqLWUaWczPz9ewYcM0YcIE5efnF1r33HPPafDgwRo3bpwsFku5hgRcyblzOapc2dvsGAAAlEqZyuKoUaM0ceJE9ezZU127dlVkZKQMw1BKSoq++uorTZo0SaGhoYUm6gZQWFZWrvz8rvoOEAAA7KJMl6GjoqL073//u9DE3H81d+5cDRs2zGnnWuQyNOyhbt3JqlbNV5s23W92FACAE7NXbynTHfbZ2dnFFkVJSkxMVHZ29lWHAlwZI4sAAGdSprJYu3ZtnTx5stj1J06cUPXq1a86FODK8vLy5eXFfb0AAOdQprL45ptv6uGHH9bhw4eLrDt06JAeeOABvfLKK+UWDnBFZZ9/AAAA85R4LeyWW24psmzPnj2qU6eO6tatq/DwcEnS0aNHtWfPHlWrVk1ZWVnq1atXxaQFAACAXZVYFn/88UdFRUUVWmaxWFSjRg1duHBBBw4cKFheo0aNgs84OyblRkUyDDG9FADgqjjMpNyRkZFKSUkp0w6v5DOOgqehYQ+hoRPUpEmovv/+HrOjAACcmEM8Df3WW2+VeYdX8hnA3VzBi5MAADBFiWXx/vvLPg/clXwGcCeVKnnqwoU8s2MAAFAqxZbFM2fOqGPHjtqzZ88V7XjatGkaMmTIFQcDXJWfn5eysnLNjgEAQKkUWxarVq2qRx55RLGxsZoyZYry8ko3EnL8+HGNGDFC//znP/XPf/6z3IICrsLPz0vnzzOyCABwDiU+Dd2vXz/l5+dr8ODB+uc//6nY2Fg1aNBA4eHhqlKliry8vJSTk6NTp07p8OHD2rZtm9auXas6derou+++U82aNe31cwBOw9fXU5mZF8yOAQBAqVz2nWP333+/OnfurHfffVezZ8/W/PnzbW5nsVh000036Z133tE//vEPeXt7l3tYe2HqHFQkPz9vLkMDAK6Kw0ydY8uBAwe0c+dOnThxQtnZ2apcubIiIyN1ww03KDAwsKJy2gVT58Aebr99rlauPKSzZ582OwoAwInZq7dcdmTx72rVqqVatWpVRBbALVSr5qtz53KVnZ0nHx9Ps+MAAFCiMr0bGsDVCw72lSSdPHne5CQAAFweZRGws2rVKIsAAOdBWQTs7NLIYno6ZREA4PgoizYkJSXJarWaHQMuirIIALhaVqtVSUlJdjlWmR9wcQfJyck8DY0KExrqJ0k6fvycyUkAAM4qISFBbdu21YQJEyr8WIwsAnZWvXpVSdLhw2dMTgIAwOWVuSwahqH58+frscceU2JioiRp165dWrhwYalfCQi4sxo1KIsAAOdRpsvQ586dU9euXbVy5UoZhqGqVasWLH/88cf13nvv6csvv+QSLlCCsLDK8vLyoCwCAJxCmUYWX3vtNe3Zs0cffvihNm3apCpVqkiSmjZtqv3796t69ep64403KiSoPfGACyqSh4dFkZFVKIsAgCtmzwdcyvS6v3r16mnevHlq1qyZJKl69eo6cuRIwfqTJ0+qdevW+vPPP8s9qD3wuj/YS9u2M7R3b4ZSUwebHQUA4KTs1VvKNLKYkZFRUBRtqVatms6cYbQEuJzo6AAdPXpOWVk5ZkcBAKBEZSqLvr6+2rdvX7Hrf/nlF/n4+FxtpnK3e/du9e/fX2PGjNHAgQP11VdfmR0Jbq5+/WqSpD17MkxOAgBAycpUFnv37q0ePXroxx9/LPTkc05OjubOnas777yz4AlpR3Ly5EkNHDhQI0aM0Ntvv63HH3+8xO25ZxEVrX79IEnSrl2nTM0BAHBODnvPYkZGhjp06KAdO3bI19dX2dnZCg4O1okTJ2QYhpo1a6YVK1bI39//isKkpaVpyJAhWr9+vfbu3Vtk/cSJEzV58mT5+fkpKChIH3zwgaKiosp0jNTUVMXFxemPP/4oso57FmEvq1YdUmzsLI0ZE6fhw2PMjgMAcEIOec9iYGCg1q1bp5EjR6pevXry9vbW6dOn1ahRI73++utavXr1FRfFHTt2KDExUSEhIbLVX+fPn69Ro0Zp2bJlWrNmjdq0aaOePXsqPz+/TMcZN26c3n777SvKCJSXS5ehd+8+ZW4QAAAuo0wjiwcOHJAkhYSEFEybU15SU1NVrVo1zZw5UyNHjixyb2S7du3Uvn37gqJ36tQphYSEaOnSpYqPj5cktWnTpsh+a9eurVmzZkmSpk6dqjNnzmjwYNtPoF5q6E888YS6d++uhISEcvwJgf8xDEP+/uPUtm11LVvWx+w4AAAnY7VatXjxYk2YMKHCRxbLNCl37dq15eXlpcmTJ+uBBx4o1yARERHFrsvOztaGDRs0aNCggmVBQUGKjo7W6tWrC8riunXrit3HrFmzlJGRoSeffFJWq1UdOnSQn5+fzW15NzQqmsVi0fXXB+uXX9LMjgIAcEL2fDd0mcqil5eXtm3bpuuvv76i8tiUlpam3NxcBQcHF1oeHByslJSUy35+48aNevzxx9WsWTPNmzdPBw4c0ObNm4sti4A9NGkSqk2bjurEiSyFhPBnEQDgmMpUFuvVq6cGDRqUuM327dvVpEmTqwpVHIvFUqplf9eyZUudOnWqAhIBV65JkzBJ0vbtx9WxYy2T0wAAYFuZyuKAAQP02WefaeDAgcVuk5CQUOitLuUhLCxMXl5eSk9PL7Q8PT29xMvXVyopKalgvsiEhATuXUSFaNIkVJK0fXsaZREAUCpWq7Vger/s7Gy7HLNMZTEiIkLvvfee5s2bpw4dOigsLEweHoUfqM7KyirXgJLk7e2tmJgYbdu2rWBZRkaG9u/fr/bt25f78bhnEfbwv5FF7lsEAJTOXwexMjMzHe+exYcffliStHXrVn399dc2tynNZeErMWLECA0ZMkTPP/+8QkJCNH78eDVt2lSdO3eukOMBFS08vLJCQ/20bdtxs6MAAFCsMpXFatWqaf78+cWuNwzjit/gkpWVpS5duig1NVWpqanq2LGjEhMTNWTIEEkX3x6Tmpqq+Ph4+fr6KigoSIsWLSoysgk4C4vFohYtwrVixUFlZ+fJx8fT7EgAABRRprLYtm1bxcXFlbhNjx49riiIn5+fVqxYUeI2gwcPLnaORMAZtWoVIat1n7ZvP64WLcr//lsAAK5WmYblvvrqq8tu8/HHH19xGMDdtGoVKUn66adUk5MAAGBbuV/DrVGjRnnvEnBZrVpdHE386afLzxcKAIAZynQZ+vXXX7/sNmfOnLniMIC7ueaaKqpdO4CRRQCAwypTWRw5cuRlt6mop6EBV9WqVaTmzPlDp06dV1CQr9lxAAAopEyXoUNDQ7V3795CX7t379a6des0duxY3Xbbbdq8eXNFZQVcUmxsDRmGtGrVYbOjAABQRJlGFp9//nlFR0cXWV6nTh21atVKt956q/71r39p+vTp5RYQcHVxcVGSpB9+OKg77qhnchoAAAqzGIZhlOcOq1evXu6v+7OXzMxMBQYGKiMjgze4wG7y8w2FhU1Q3bqB2rDhfrPjAACchL16S7k+Db1w4UJ5ejKxMFAWHh4WdehQU5s3H1Nm5gWz4wAAUEiZLkPfcsstNpfn5ubq8OHD2rdvn4YPH14uwQB3EhcXpYULd2n16sPq0qWu2XEAAChQprL4448/KioqquhOvLxUs2ZNPf744xo2bFi5hQPcRadOF3+vvv12P2URAOBQylQWw8LCtHfv3orKAritpk3DFBFRRVbrPr3zjtlpAAD4nzLds/jpp59WUAzAvVksFt1+e2398ssJHTyYaXYcAAAKlKksJiQk2Fy+YsUKLViwQBkZGeUSCnBHt99eR5Jkte4zNwgAAH9RprK4YMEC1a1bt9CDLnfffbc6d+6su+66Sw0aNNDu3bvLPSTgDuLjo+XhYdHSpdzqAQBwHGUqi1OnTlWTJk00fvx4SZLVatXcuXPVvXt3LV68WO3bty/VKwEBFBUc7KfWrSO1bNl+5eTkmR0HAABJZXzAZcuWLdqyZYsCAwMlSVOmTJG/v7+mTZsmf39/3XzzzWrWrFlF5ATcQteudbR27RH9+OMhde5c9G1JAADYW5lGFrOzswuK4oULF7R06VL16dNH/v7+kqTAwEBlZ2eXf0o7S0pKktVqNTsG3NCdd9aXJC1YsNPkJAAAR2a1WpWUlGSXY5WpLPr7+xdMnTN9+nSdPn1affv2LViflpamSpUqlW9CEyQnJxf7MA9QkRo1CtW111bTggW7lJ9frm/iBAC4kISEBCUnJ9vlWGUqiwMGDFBcXJz69OmjJ598Ug0bNtStt94qSdq0aZMGDhyoFi1aVEhQwB1YLBb16lVfR46c0YYNqWbHAQCgbGXxn//8px588EHt3r1bsbGxmjNnjiQpPz9fiYmJ+uWXXzRw4MCKyAm4jV69rpUkzZ//p8lJAACQLIZhcK3r/8vMzFRgYKAyMjIUEBBgdhy4qfx8Q1FRH6hyZS/9+efDslgsZkcCADgge/WWMo0sFmfv3r36+eeflZ+fXx67A9yah4dFd911rXbtOqXNm4+aHQcA4ObKVBa///573XLLLbr//vsLlj377LOqX7++WrZsqaZNm+rYsWPlHhJwN/fd11CS9Pnnv5mcBADg7spUFj/66CNlZWUVlMW1a9fqnXfeUevWrTVu3DgFBQXp9ddfr5CggDtp3TpSdesGatasP5SXx4g9AMA8ZZqUe/369Vq1apUiIiIkSZMnT1alSpW0YMEChYeHKzExUe3atauQoIA7sVgsuu++hnrjjXX64YdDuuWWWmZHAgC4qTKNLGZlZRUUxby8PH311Vfq2bOnwsPDJUnh4eE6f/58+acE3BCXogEAjqBMZdHPz0/Hjx+XJC1cuFAnTpwoNCn3mTNn5OVVpsFKAMVo2DBEzZtfo7lz/1RWVo7ZcQAAbqpMZbF37966/fbb9eyzz2rQoEGqUaOGunfvLkk6ceKEnn76aTVp0qRCggLuaMCARsrIuKAFC3aZHQUA4KbKVBZHjhypxo0b6+OPP1a1atU0c+ZMeXp6Ki8vT2FhYZoyZUqhkUYAV6d//4by8fHURx9tMzsKAMBNlemaceXKlfXZZ58VWe7p6elScywmJSWpe/fuvB8apgsNraw776yv2bP/0O7dp1SvXpDZkQAADsBqtWrx4sV2OdYVv8ElPz9f6enpCg0NLe9MpuENLnBEy5bt0223zVVSUmuNHh1rdhwAgINw2De4bNu2TT169JC/v7/q1asnSfrxxx915513auvWreUeEHB3nTtHKzo6QFOm7FBuruuM4AMAnEOZyuLWrVvVrl07fffdd7r22mvl4XHx4w0bNlR0dLQ6deqkzZs3V0hQwF15eFj00EONlZJyVl9/vcfsOAAAN1Omsvjyyy+rR48eOnLkiLZs2SI/Pz9JUlhYmN577z395z//0auvvlohQQF39o9/NJWXl4f+85+fzY4CAHAzZSqLa9eu1YcffljsdfF7771X27dvL5dgAP6nevWquuuua/Xtt/v1228nzI4DAHAjZSqL+fn5qlq1arHrDcPQ2bNnrzoUgKKGDGkuSYwuAgDsqkxlMTo6WnPmzCl2/UcffaQ6depcdSgARbVvX0PNml2jzz77RRkZF8yOAwBwE2Uqi08//bTuu+8+PfTQQ5o5c6ays7O1dOlSffTRR7rjjjs0ePBgDR8+vKKyAm7NYrFoyJDmOns2R5999ovZcQAAbqLM8yy+8cYbeu2115Sfny/DMGSxWGQYhjw9PfXGG2/o+eefr6isFe7SfEVPPPEEk3LDIWVl5ahmzQ9UrZqv/vjjIXl6lnn2KwCAC7g0KfeECRMqfJ7FK5qUe9++fZo/f7527dolwzB03XXXqXfv3oqOjq6IjHbDpNxwBq+8skqjRq3TnDndlZjYwOw4AACT2Ku3lKksvv7665Kkrl27qmXLlhUWyiyURTiDY8fOKjp6spo0CdX69f1ksVjMjgQAMIFDvsFl5MiRWrFihUu9BxpwNtdcU0UPPthIGzak6ocfDpodBwDg4spUFoODg7Vs2TK1atWqovIAKIVnnmkpi0V6++0NZkcBALi4MpXF66+//rLzKL700ktXFQjA5dWvX0133XWd/vvfvdq+/bjZcQAALqxMZfH//u//9Pjjj+vo0aPFbvPJJ59cdSgAl/fcczGSpOTk9SYnAQC4Mq+ybPzyyy/rwIEDqlWrlurXr6+wsDB5eBTum+np6eUa0AxJSUlMnQOHFxMTqdtvr60vvvhdr7zSVg0bhpgdCQBgJ5emzrGHMj0N7eXlpaioqBK3OXTokHJycq46mBl4GhrOZu3aI2rX7nPdd19DzZjRzew4AAA7sldvKdPIYlhYmPbu3VviNpGRkVcVCEDptW1bXfHx0Zo16+LoYoMGwWZHAgC4mDLds/jWW29ddptPP/30SrMAuAKvvtpO+fmGRo9eZ3YUAIALKlVZPHjwoObNm6eqVavqyJEjJW7LfX6AfbVvX0OdO9fSjBm/6c8/nf+eYQCAY7lsWXz66adVt25d3X333UpMTFTt2rX18ssv2yMbgFIaOfLi6OKrr64xOwoAwMWUWBYnTpyocePGqXr16urRo4fuuOMOhYaGKjk5WTNmzLBXRrtLSkqS1Wo1OwZQajffXFNdu9bRrFm/6+efi5/aCgDgGqxWq5KSkuxyrBKfhr7xxhvVunVrTZw4UV5eF5+Fyc7O1kMPPaR9+/Zp1apVdglpLzwNDWe2desxNWs2VbffXltLliSaHQcAUMHs1VtKLIuVK1fWsWPHVLVq1ULLU1JS1LRpUx0/7lpvjqAswtn16/e1Pv/8N61YcY/i4kqe5goA4Nzs1VtKvAzt7+9fpChKF6fH+ftk3JdMnz69fJIBKLPXX28vLy8PvfDCSpVhClUAAIpVYln09PQs87rnnnvu6hIBuGL16gXp0Uebau3aI/ryy11mxwEAuIASJ+U+d+6cpk2bZnOEIisry+a6rKys8k1oAl73B2f28stt9dlnv+jZZ39Q16515eNT/D/6AADOyWFe9+fh4SGLxWJznWEYRdZdWpaXl1e+Ke2EexbhKpKT1+nFF1fp3Xc7atiwlmbHAQBUAId4wCUoKEjvvfdeqXdmGIaGDRumkydPlks4e6MswlVkZeXo+us/UWZmtnbt+odCQvzMjgQAKGcOURYjIyOVkpJSph1eyWfsYceOHXriiScUHx+vl156yeY2lEW4klmzfte9936lIUOaa/z4zmbHAQCUM4d4Gnr//v1l3uGVfMYeduzYobi4uFJty6TccAX33NNAbdtW1/vvb9Fvv50wOw4AoBzZc1LuEsuij49PmXd4JZ+5JC0tTX379lWdOnVsrp84caKaN2+udu3aqWvXrjp48GCp9923b99ip/v5u+TkZB5ugdOzWCwaO7aT8vIMDRv2PVPpAIALSUhIUHJysl2OVbr2ZAc7duxQYmKiQkJCbP5Pbf78+Ro1apSWLVumNWvWqE2bNurZs6fy8/NNSAs4h9atIzVgwA2yWvdp4UKm0gEAlJ3DlMXQ0FBZrVbFxMTYXD9mzBj1799foaGhkqShQ4dq69atWr58ecE2bdq0KfLVt2/fMmfhMjRcyVtvxSkgwEdPP/2dzp7NNjsOAKAc2PMydInzLNpTREREseuys7O1YcMGDRo0qGBZUFCQoqOjtXr1asXHx0uS1q1bVy5ZkpOTecAFLiM8vIreeONmDR36nZKT12v06FizIwEArlJCQoLatm2rCRMmVPixHGZksSRpaWnKzc1VcHBwoeXBwcGlfvJ6zpw5+vHHH/XDDz9owYIFFRETcFiDBjXTjTeG6e23N+jPP9PNjgMAcCJOURYvsTVBeHGThv9dnz599N1332nZsmXq1atXeUcDHJqXl4cmTLhVOTn5evLJ73jYBQBQag5zGbokYWFh8vLyUnp64RGR9PT0Ei9fX6mkpKSCp7oTEhJ4MhouoX37Gho4sJE+/fQXzZ79h+6553qzIwEAyshqtRY8V5GdbZ/70J2iLHp7eysmJkbbtm0rWJaRkaH9+/erffv25X487lmEq3rrrTgtXrxHQ4d+p/j4aAUH82YXAHAmfx3EyszM5J7FvxoxYoSmT5+uEycuTi48fvx4NW3aVJ0782YKoLTCwipr7NiOOnbsnEaM+MHsOAAAJ+AwI4tZWVnq0qWLUlNTlZqaqo4dOyoxMVFDhgyRJPXu3VupqamKj4+Xr6+vgoKCtGjRolJPtA3gov79b9C0ab9qypQd6t//Bt1ySy2zIwEAHFiJ74Z2N7wbGu5iz55Tatz4U1WvXlXbtz8gPz9vsyMBAMrIId4NDcA11a0bpFGj2mv37lN67bW1ZscBADgwyiLgpp56qoVatAjXmDEbtGFD6eYrBQC4H8oi4Ka8vDw0Zcrt8vCw6IEHluj8+VyzIwEAHBBlEXBjTZqEaeTIdvrtt3S9+upqs+MAABwQZRFwc88910oxMREaM2aj1q49YnYcAICDoSwCbs7Ly0Offnq7vL09NHDgEmVl5ZgdCQDgQCiLAHTDDaEaNaq9/vzzpJKSVpkdBwDgQCiLACRJzzzTUu3aVde//71J33673+w4AAAHQVkEIEny9PTQtGld5e/vowceWKITJ7LMjgQAcACURQAF6tYN0vjxt+jIkTN67LFvxAueAACURQCFDBjQSH36XKd583ZqypQdZscBAJiMsgigEIvFokmT4lWzpr+GDv1Ou3adNDsSAMBElEUARQQH+2nq1C46dy5H/fp9rezsPLMjAQBMQlkEYFOnTrX03HOt9NNPqXrxxZVmxwEAmISyCKBYo0a1V9u21TVmzEZ9/fVus+MAAExAWQRQLG9vT82c2U3VqvlqwIAlOnTotNmRAAB2Rlm0ISkpSVar1ewYgEOIjg7UlCm3Kz39vO699yvl5uabHQkA3J7ValVSUpJdjmUxmEitQGZmpgIDA5WRkaGAgACz4wAOZdiw7/Xvf29SUlJrjR4da3YcAHB79uotjCwCKJX/+78OatkyXP/613otXbrX7DgAADuhLAIoFR8fT33xRXcFBlbSffd9rb17T5kdCQBgB5RFAKVWt26Qpk/vqpMnzysxcbHOn881OxIAoIJRFgGUSbdu9fTKK221efNRDRmy3Ow4AIAKRlkEUGavvNJWCQm19fHH2/XRR9vMjgMAqECURQBl5unpoRkzuik6OkBPPLFcGzemmh0JAFBBKIsArkhIiJ/mzeshi0Xq3ftLHTt21uxIAIAKQFkEcMVatIjQBx/E6+DB07rrrkXKzs4zOxIAoJxRFgFclQceaKynn26hVasOa+jQ78yOAwAoZ5RFAFft7bfjdOut0frgg616//0tZscBAJQjyiKAq+bl5aEvvrhD9eoFaejQ7/TDDwfNjgQAKCeURRuSkpJktVrNjgE4leBgP3355Z3y9fVUYuIi7duXYXYkAHBZVqtVSUlJdjmWxTAMwy5HcgL2eiE34Mq+/HKX7rxzoRo3DtXq1fcqIKCS2ZEAwCXZq7cwsgigXPXsWV9vvhmrHTvS1LfvV8rNzTc7EgDgKlAWAZS7555rpYceaqwlS/Zq2LDvzY4DALgKlEUA5c5isej99+PVqVOU/vOfnzV+/GazIwEArhBlEUCF8PHx1Lx5PXXdddX09NPf67//3WN2JADAFaAsAqgw1ar56uuveysoqJLuuWextm49ZnYkAEAZURYBVKj69atp4cI7lZ2dr65d5+vgwUyzIwEAyoCyCKDCxcbW1GefddGRI2fUpcs8nTp13uxIAIBSoizawKTcQPnr2/d6jRkTp19+OaE771yoCxdyzY4EAE6LSblNwqTcQMUyDEPDhn2v997brHvuaaDPP79DHh4Ws2MBgFOyV2/xqrA9A8DfWCwWvfNORx06dFpffPGHatb015gxHc2OBQAoAZehAdiVp6eHpk/vpptvrqF33tmosWM3mh0JAFACyiIAu/P19dKXX96phg2D9cwzKzRt2i9mRwIAFIOyCMAUwcF++uabPqpVy18PPrhUixfvNjsSAMAGyiIA09Ss6a9vvumjatV8dffdi7Vy5SGzIwEA/oayaANT5wD206BBsJYuvUteXhbdccd8bdnCW14A4HKYOsckTJ0DmOf77w/o9tvnqVq1Slq16l7Vr1/N7EgA4NDs1VsYWQTgEDp1qqVZs+7Q8eNZio+fo0OHTpsdCQAgyiIAB9Kr17X66KPbtG9fpm69dY6OHj1rdiQAcHuURQAO5cEHm2j8+Fv0xx/pio+fo/T0LLMjAYBboywCcDhDhtykN9+M1fbtabr99nnKzLxgdiQAcFuURRt4Ghow3/PPt9bLL7fRhg2p6tZtvs6ezTY7EgA4DJ6GNglPQwOOxTAMDR++QmPHblJ8fLQWLeolX19eaQ8AEk9DA4AsFoveeaejHnvsRi1btl+JiYt04UKu2bEAwK1QFgE4NIvFookTb9XAgY309dd7KIwAYGeURQAOz8PDoo8+StCAATfoq6/26O67Fys7O8/sWADgFiiLNvCAC+B4PD099Mknt6t//xu0aNFuCiMAt8YDLibhARfA8eXl5WvAgCX6/PPf1KvXtfriizvk7e1pdiwAsDsecAEAGzw9PfTZZ110773Xa8GCnerb9yvl5DDCCAAVxa3moJg/f75WrlwpwzB0yy23qEePHmZHAnAFvLw8NHVqV+XnG/riiz90992LNWvWHapUya3+SgMAu3Cbv1lPnz6tkSNHasuWLTIMQ82aNVPnzp1VpUqVItsmJSWpe/fuSkhIMCEpgNLw8vLQ9Ond5OFh0cyZv6t37y81b15P5mEE4BasVqsWL15sl2M51WXotLQ09e3bV3Xq1LG5fuLEiWrevLnatWunrl276uDBgwXr1q1bp2uvvVYeHh7y9PRU3bp1tWHDBpv7SU5OpigCTsDLy0PTpnXVAw800n//u1c9eizQuXM5ZscCgAqXkJCg5ORkuxzLacrijh07lJiYqJCQENl6Jmf+/PkaNWqUli1bpjVr1qhNmzbq2bOn8vPzJV0smv7+/gXb+/v76/jx43bLD6BiXHpK+pFHmmrZsv3q1m2+zpzh1YAAUF6cpiyGhobKarUqJibG5voxY8aof//+Cg0NlSQNHTpUW7du1fLlyws+f/r06YLtT58+rbCwMJv7YuocwLl4eFj0wQfxGjKkuVasOKjbb5+nzMwLZscCgApjz6lznKYsRkREqFKlSjbXZWdna8OGDWratGnBsqCgIEVHR2v16tWSpDZt2mjnzp3Kz89XXl6edu/eXWzx5DI04HwsFovGjbtFw4e31OrVhxUfP0cnT543OxYAVAh7XoZ2iTvB09LSlJubq+Dg4ELLg4ODlZKSIuniZeeRI0fq6aeflmEYSk5OtvlwCwDnZbFY9PbbcapUyVPJyevVseMX+uabRIWH87sOAFfKJcriJRaLpcRlvXv3Vu/eve0ZCYCdWSwWjR4dq6pVfZSUtFKxsbP07bd9VKsWE+0DwJVwibIYFhYmLy8vpaenF1qenp6uiIiIMu8vKSlJPj4+ki4O83JJGnA+L7zQWgEBPhoyZLluvnmmvv22j667LvjyHwQAB2a1Wgueq8jOts/DfC5RFr29vRUTE6Nt27YVLMvIyND+/fvVvn37Mu8vOTmZ1/0BLuCJJ5orIMBHDz64VLGxs/TNN4m68cZrzI4FAFfsr4NYmZmZmjBhQoUf02kecLmcESNGaPr06Tpx4oQkafz48WratKk6d+5scjIAZrr//kaaO7eHTp26oI4dv9DatUfMjgQATsVpRhazsrLUpUsXpaamKjU1VR07dlRiYqKGDBki6eL9iKmpqYqPj5evr6+CgoK0aNEieXi4TB8GcIXuvPNaff11b/XsuUC33jpbCxfeqfj42mbHAgCnYDFszXDtpjIzMxUYGKiMjAwuQwMuaO3aI+radZ7Ons3R1Kld1bfv9WZHAoArZq/ewrAbALfRtm11/fhjX4WFVdZ9932l8eM3mx0JABweZRGAW2nSJExr1tyra6+tpqFDv9PLL6+y+QpRAMBFlEUAbic6OlCrVt2rmJgIvfHGOj322DLl5uabHQsAHBJlEYBbCgurrO++u1u33VZbkydvU58+i3T+fK7ZsQDA4VAWAbitqlV9tHhxL9177/VauHCXEhLm8j5pAPgbyiIAt+bj46np07vp6adb6McfD+nmm2dq//4Ms2MBgMOgLAJwex4eFo0d20nvvttRv/56Qm3bfq4tW46ZHQsAHAJlEQD+v2HDWuqLL+7QiRPnFRs7U998s8/sSABgOsoiAPzF3Xdfr2+/7SNvb0916zZfn366w+xIAGAqyiIA/E1sbE2tXn2vatSoqgcfXKpRo9YyFyMAt0VZBAAbGjYM0dq196l582v0yiur9fDDVmVn55kdCwDsjrIIAMWIjKyqH37oqy5d6mjKlB26/Xam1gHgfiiLAFACf38fLVrUS4MHN9P33x9U27afa/fuU2bHAgC7oSwCwGV4eXnoP//prH//u5P+/DNdbdrM0OrVh82OBQB2QVkEgFKwWCx66qkW+vLLXsrKylXnzrM1c+ZvZscCgApHWQSAMujevZ5WruyrkBA/3Xff1zwpDcDlURZtSEpKktVqNTsGAAfVvHm41q/vp2bNLj4p3b//f5WVlWN2LABuxGq1KikpyS7Hshj8k7hAZmamAgMDlZGRoYCAALPjAHBwZ85kq3///+rLL3epVasILVx4pyIjq5odC4CbsFdvYWQRAK5Q1ao+mj+/p154obV++ilVMTHTtWlTqtmxAKBcURYB4Cp4eFiUnByr6dO7Ki0tS7GxszRnzh9mxwKAckNZBIBy0K/fDfrhh74KDKyku+9erNdeW6P8fO7yAeD8KIsAUE5at47UTz/1U/Pm12jkyDXq23exzp7NNjsWAFwVyiIAlKOoqACtXNlXiYnXac6cP3XzzbO0b1+G2bEA4IpRFgGgnFWp4qMvvuiuUaPaa8uWY2rZcrq+++6A2bEA4IpQFgGgAnh4WPTSS221aFEvZWfn6bbb5ui99zYxgTcAp0NZBIAK1L17Pf30Uz/Vqxekp5/+Xg8+uFTnz+eaHQsASo2yCAAV7PrrQ/TTT/3VrVtdffbZL+rQYZYOHTptdiwAKBXKIgDYQWBgJS1a1EsvvthGGzakqkWLaVq16pDZsQDgsiiLAGAnHh4WvfHGzZozp7vOns1Rp06zNW7cZu5jBODQKIs2JCUlyWq1mh0DgItKTGyg9ev7qU6dQD311Hfq3/+/zMcIoEysVquSkpLsciyLwT9pC9jrhdwAIEkZGRf0wANL9OWXu9SkSajmz++p+vWrmR0LgJOwV29hZBEATBIYWEnz5/dUcnKsfvnlhFq2nK7Fi3ebHQsACqEsAoCJPDwseuGF1lq69C55eXmoR48FevnlVcrLyzc7GgBIoiwCgEOIj6+tTZv6q0WLcL3xxjp16zZfaWnnzI4FAJRFAHAU0dGBWrXqXj38cBNZrfvUvPk0rVt3xOxYANwcZREAHIivr5c++ihBn3ySoLS0LMXGzuI1gQBMRVkEAAf04INNCqbXefrp79WnzyJlZl4wOxYAN0RZBAAH1bRpmDZu7K/ExOs0b95OtWw5Xdu2HTc7FgA3Q1m0gUm5ATiKgIBKmj27u9577xbt25eh1q1n6JNPtpsdC4DJmJTbJEzKDcCRrVt3RHffvVgHD57WAw800oQJnVWlio/ZsQCYhEm5AQCFtGlTXZs3368uXeros89+UUzMdO3YwWVpABWLsggATiQ0tLK++qq33nqrg/7886RatZqhjz/eztPSACoMZREAnIyHh0XPPttKK1feq9BQP/3jH1bdf/9/dfp0ttnRALggyiIAOKm2batry5YB6tGjnmbM+E0tW07T1q3HzI4FwMVQFgHAiQUH+2nhwjs1dmwn7d178WnpSZO2cFkaQLmhLNrA1DkAnInFYtHTT7fQ6tX3qnr1qho06FvdffdinTp13uxoACoIU+eYhKlzADi7U6fO65FHvtHcuX8qOjpAM2feobZtq5sdC0AFYOocAECZBQX5avbs7vrgg3gdPXpOsbEzlZy8Tnl5+WZHA+CkKIsA4GIsFoseffRGbdzYX9dfH6wXX1ylhIS5Skk5Y3Y0AE6IsggALqpRo1Bt2NBfjz9+o5YvP6Abb/xMS5bsMTsWACdDWQQAF+bn563334/X3Lk9lJOTr65d5+uZZ77XhQu5ZkcD4CQoizbwNDQAV3PXXddpy5YBateuusaO3aR27Wbqzz/TzY4F4ArxNLRJeBoagKvLzc3Xa6+t0ejR61S5srfGj79FAwc2lsViMTsagDLiaWgAQLnz8vLQqFE36/vv71G1ar566CGr+vb9ijkZARSLsggAbiguLkpbtw5Qr17XavbsP9Ss2VStXn3Y7FgAHBBlEQDcVHCwn+bN66FJk+J17Ng5degwS6+/voY5GQEUQlm0gQdcALgLi8Wixx67OCdj48ahevXVNerUabYOHMg0OxqAEvCAi0l4wAWAOzt/PlfPP/+jxo3brKCgSpo8+TYlJjYwOxaAYvCACwDArnx9vfTee7do8eJe8vLyUJ8+i/Xoo9/o7Nlss6MBMJFblcUdO3YoLi5Ob7zxhtlRAMBh3XFHPW3b9oBuvTVakydvU8uW07V16zGzYwEwiVuWxcvhnkUA7i4ysqqs1kS99VYH7dp1Sq1azdB7720Sdy4BjoF7FouRlpamIUOGaP369dq7d2+R9RMnTtTkyZPl5+enoKAgffDBB4qKiiq0zciRI+Xl5aWXXnqpyOe5ZxEAitq4MVX33vuVdu06pa5d62jKlNt1zTVVzI4FuD3uWfybHTt2KDExUSEhITb/ZTt//nyNGjVKy5Yt05o1a9SmTRv17NlT+flMAQEAV6Nlywht3jxADzzQSP/9717deONUffvtfrNjAbATpymLoaGhslqtiomJsbl+zJgx6t+/v0JDQyVJQ4cO1datW7V8+fIyH4vL0ABQmL+/jz79tItmzOims2dzdNttc/TSS6uUm8s/yAEz2PMytNOUxYiICFWqVMnmuuzsbG3YsEFNmzYtWBYUFKTo6GitXr26zMdKTk5WQkLCFWcFAFd1330N9fPPA3TTTeEaPXqdOnX6QocOnTY7FuB2EhISlJycbJdjOU1ZLElaWppyc3MVHBxcaHlwcLBSUlIKvp8zZ45+/PFH/fDDD1qwYIG9YwKAS6hXL0irV9+rp59uoVWrDuvGGz/T4sW7zY4FoIK4RFm8xGKxlLisT58++u6777Rs2TL16tXLntEAwKVUquSlsWM76csv75RhSD16LNAzz3yv7Ow8s6MBKGdeZgcoD2FhYfLy8lJ6enqh5enp6YqIiCjz/pKSkuTj4yPp4jAvl6QBwLYePepry5YBuu++rzV27CatXHlIX3zRXXXrBpkdDXBJVqu14LmK7Gz7TJjvEmXR29tbMTEx2rZtW8GyjIwM7d+/X+3bty/z/pKTk5k6BwBKqVatAK1YcY9efXW1/vWv9WrefKo+/bSLevW61uxogMv56yBWZmamJkyYUOHHdJnL0CNGjND06dN14sQJSdL48ePVtGlTde7c2eRkAOD6vLw8NHp0rKzWRFWq5Knevb/UP//5I09LAy7AaUYWs7Ky1KVLF6Wmpio1NVUdO3ZUYmKihgwZIknq3bu3UlNTFR8fL19fXwUFBWnRokXy8HCZPgwADi8+vrY2bx6gxMRF+r//+0kbNqRq5sxuTOINODGneoNLReMNLgBQPi5cyNUzz6zQxIlbVLOmv+bO7aHWrSPNjgW4FN7gAgBwWpUqeWnChFv12WddlJaWpdjYmZo0aQvvlgacEGURAFBhBgxopLVr71NUlL8GDfpWAwcu0blzOWbHAlAGlEUAQIVq1uwabdx4v7p1q6upU39VbOwsHTlyxuxYAEqJsggAqHDVqvlq0aJeeuWVttq8+ahat56hbduOmx0LQClQFgEAduHhYdFrr7XXtGlddfToWbVv/7mWLt1rdiwAl0FZBADYVf/+N+jbb/vIx8dT3brN1/vvbzE7EoASUBYBAHbXoUOU1q69T3XrBmrw4G81fPj3ystjAm/AEVEWAQCmuO66YK1de59uvrmG3n13k+66a5HOnrXPu24BlB5lEQBgmtDQyvr22z7q16+hvvxyl7p0ma8zZyiMgCOhLAIATFWpkpemTeuqYcNaaOXKQ+rSZZ5On6YwAo6CsggAMJ3FYtE773TU8OEttWrVYd1++1xlZl4wOxYAURYBAA7CYrHo7bfjNGJES61Zc0S33z6Pwgg4AMoiAMBhWCwWvfVWnJ57LkZr1x5RQsJcZWRQGAEzURYBAA7FYrHozTc76PnnW2nduhQKI2AyyiIAwOFYLBb961+xeuGF1lq/PkX33vsV8zACJqEsAgAcksVi0ejRN2vgwEZasmSvXnhhpdmRALdEWbQhKSlJVqvV7BgA4PYsFosmTYpX27bV9fbbGzR9+q9mRwIcgtVqVVJSkl2OZTEMw7DLkZxAZmamAgMDlZGRoYCAALPjAAD+v9TUs2rZcprS0rL044991apVpNmRANPZq7cwsggAcHgREVW0cOGdslgs6tXrSx05csbsSIDboCwCAJxCy5YR+uSTBB05cka9ei1Udnae2ZEAt0BZBAA4jXvvbajnnovRTz+lasyYDWbHAdwCZREA4FRef729GjQI1qhR67Rnzymz4wAuj7IIAHAqlSp56f33b9X587l64olvxXOaQMWiLAIAnE6nTrU0YMANWrp0n+bM+cPsOIBLoywCAJzSmDEdFRzsq6ee+p7XAQIViLIIAHBKYWGV9dZbcUpNPatXXlltdhzAZVEWAQBO68EHG6tFi3B9+OE2nTiRZXYcwCVRFgEATsvDw6Lhw1vq/PlcTZ68zew4gEuiLAIAnFpi4nWqXr2q/vOfn5WTw0TdQHmjLNqQlJQkq9VqdgwAQCl4e3tq8OBmOnz4jObP32l2HMAurFarkpKS7HIsi8EEVQXs9UJuAED5On78nGrV+lDNmoVp7dp+ZscB7MJevYWRRQCA0wsLq6x+/Rpq3boUbdqUanYcwKVQFgEALmHgwEaSpMWLd5ucBHAtlEUAgEto06a6AgMraenSfWZHAVwKZREA4BK8vDwUHx+tn35KYc5FoBxRFgEALuP22+vIMKRly/abHQVwGZRFAIDLSEioLUlaunSvuUEAF0JZBAC4jJo1/dWoUQgji0A5oizawKTcAOC8YmIidOTIGe5bhEtjUm6TMCk3ADi/MWM26Nlnf9CPP/ZVbGxNs+MAFYZJuQEAuAI33BAiSfr11xMmJwFcA2URAOBSGjWiLALlibIIAHApUVEBqlLFW7/8kmZ2FMAlUBYBAC7Fw8Oi668P1h9/nDQ7CuASKIsAAJdTvXpVHT16VjzDCVw9yqINTJ0DAM4tPLyycnLydfLkebOjABWCqXNMwtQ5AOAaXnpplUaPXqdff31QDRuGmB0HqBBMnYMSLVu2TLfeeqt8fHy0b9++Iuu7deumGjVqKDk5uVT7O3z4sHr16qWOHTtKkubMmaOGDRvq008/Lb/QAGAn4eGVJUlHj541OQng/CiLTio+Pl79+/dXrVq1NHr06ELrNm7cqD///FPXXnttqYeoa9Sooaeeeqrg+z59+qh169blmhkA7OV/ZfGcyUkA50dZdHL//Oc/NWPGjEKjixMnTtQjjzxS8P24ceN011136ZlnntG9996rI0eOFKwbP3684uLi9Pjjj2vJkiVF9v/LL7+od+/euu666/TRRx9JklauXKmWLVtq5MiRkqR3331X/v7+Nkc4AcAMoaEXy2JaGq/8A66Wl9kBXEGPHgu0e/epK/58vXpBWrSo1xV9tn79+urTp49Gjx6tyZMna+PGjWrcuLF8fHwKtrnmmms0Y8YM+fr6avbs2Ro1apTef/99bd++XW+88Yb27dsnPz8/vfLKK0X2f+TIEc2fP1+///67OnfurH/84x+KjY3VHXfcUbDNM888o3Hjxl1RfgCoCFWrekuSzp7NMTkJ4PwYWbTB2Z6GfvnllwtGFydOnKjHH3+80Pro6GgNGjRITz31lGbPnq0///xTkvT999/rpptukp+fnySpffv2RfbdoUMHSdK1116rlJSUCv5JAKB8VKlCWYRrs+fT0Iws2pCcnFymp4qudFSwvFwaXbz//vvVq1cvVa5cuWBddna2EhIStHz5csXExGjFihUFl49L8yB8pUqVJEmenp6FtrdYLMrLyyv4PieHv5ABOI5LZfHMmWyTkwAVIyEhQW3bttWECRMq/FiMLLqIl19+Wfn5+UVGFc+fP68zZ86oWrVqkqQDBw4UrOvUqZM2b96srKyL9/SsWbOm1MeLiIgoGGk8fPiwjh49erU/AgCUm/9dhs41OQng/BhZdFKrVq3S9OnT5e/vr/DwcDVs2FCrV6+WJC1fvlxz5szRrl27NHnyZP3f//2f+vXrp9jYWB05ckQ7d+7U1KlTNWDAAL300ku6/fbb1aRJE3l5eWnnzp2aNGmSqlevrvXr1+vQoUNq3769pk+fLuliKR01apT69OmjmTNn6rHHHlOjRo1Us2ZNvfrqq5o0aVLBZW0AMAuXoYHyw6Tcf8Gk3ADgGgzDkIfHO7rrrms1d25Ps+MAFYJJuU3kbA+4AAAKs1gs8vLyUE5OvtlRgArB6/5MwsgiALiOypX/rY4do/Tf/95ldhSgQjCyCADAVfD2ZmQRKA9u84DL7t279eqrr6pZs2basWOHEhMTC00sDQBwLd7ensrJybv8hgBK5DZl8eTJkxo4cKBuvfVWHT9+XM2bN9ehQ4dsbpuUlKTu3bsrISHBzikBAOWFkUW4MqvVqsWLF9vlWE51z2JaWpqGDBmi9evXa+/evUXWT5w4UZMnT5afn5+CgoL0wQcfKCoqqsh2qampiouL0x9//FFoOfcsAoDriIr6QDVqVNW6df3MjgJUCO5Z/JtLl45DQkJsvnlk/vz5GjVqlJYtW6Y1a9aoTZs26tmzp/Lzi/6rcty4cXr77bftERsAYBIPDyk/32nGQwCH5TRlMTQ0VFarVTExMTbXjxkzRv3791doaKgkaejQodq6dauWL19eaLupU6eqZs2a6tGjR7HHYuqcojgftnFebOO8FMU5sa0iz4uHh8VpyyJ/XmzjvPyPPafOcZqyGBERUfCe4r/Lzs7Whg0b1LRp04JlQUFBio6OLniriSTNmjVLGRkZGjx4sKxWa8Fr7v4uOTmZ+xX/hl9Q2zgvtnFeiuKc2EZZtI0/L7ZxXv4nISFBycnJdjmW05TFkqSlpSk3N1fBwcGFlgcHBxe8v3jjxo16/PHHNW/ePHXs2FGDBg3ShQsXynSckv6Quvq6kjhSTs6LY6wriSPlvJJ1nJPyXVeSqz2erbLoSD87f17Kvq4kjpTTUf5uKS8u9TS0xWIpdlnLli116tSpEj9/6V7IzMxMm+sXL16stm3buuW67OxszosNnBf3Oy+cE+f5s2IY55WTk1No/470s/PnhfNytZ+5dC4q/Fllw8lMmTLFiI6OLrQsOzvb8PLyMqZNm1ZoeZ06dYxXX3211Ps+ePCgIYkvvvjiiy+++OLLab4OHjxYDg2reC4xsujt7a2YmBht27atYFlGRob279+v9u3bl3o/1atX18GDB+Xv729zlBIAAMBRGIah06dPq3r16hV6HJcoi5I0YsQIDRkyRM8//7xCQkI0fvx4NW3aVJ07dy71Pjw8PFSzZs0KTAkAAFB+AgMDK/wYTlMWs7Ky1KVLF6Wmpio1NVUdO3ZUYmKihgwZIknq3bu3UlNTFR8fL19fXwUFBWnRokXy8HCJZ3gAAABM4TRNys/PTytWrNDvv/+u8+fPa8WKFQVF8ZLBgwdr8+bNWrNmjaZOnapnn31WderUKbKvgwcPqmvXrmrXrp2aN2+uiRMnFtlm4sSJat68udq1a6euXbvq4MGDZd6HI0pLS1Pfvn1tnhdJmjdvnsLDw/Xpp5/aXO9u52X37t16+OGH1aFDB8XGxqp169b6+uuvi3zeFc9LcefkxIkTeuaZZxQXF6dOnTrphhtu0PPPP6+8vMLv4HXFcyJd/ndIuvgSAW9vb5u/R+54XoKCgtSxY8dCX9u3by+0jTuel5ycHL300ktq3bq1OnTooCZNmmjSpEmFtnHF81LcOfn00091/fXXF/pz0rJlyyIjZ654TqSS/6zMnTtXLVu2VIcOHdS8eXM9++yzysnJKbRNhZ6XCr0j0iTbt2834uLijMGDBxd5GCYvL89o1qyZ8cYbbxiGYRjHjh0zrrnmGmP+/PkF28ybN8+IiIgwjh8/bhiGYbz22mtG8+bNjby8vFLvwxGVdF4MwzCGDBliPPvss0b16tWNKVOmFFnvjudl+PDhxqOPPmrk5+cbhnHxHHh5eRmbN28u2MYVz0tJ52Tt2rVGy5YtjfPnzxuGYRhHjhwxgoKCjH//+98F27jiOTGMy/8OXXLLLbcYVapUKfJ75K7nJS4ursTPu+t5efDBB40hQ4YU/P2yfPly49lnny1Y74rnpaRzMnPmTGPmzJmFlo0dO9YYNGhQwfeueE4Mo+Tz8ttvvxmenp7G119/bRiGYWRmZhp16tQxRo0aVbBNRZ8XlyyLKSkpxvnz520+OW21Wg1PT08jIyOjYNmwYcOMdu3aFXzftm1bY8SIEQXfnzx50vDw8DC++eabUu/DEZV0XgzDMPbt22cYhmFER0fbLIvueF5mz55t/PHHH4WWBQcHG2+++WbB9654Xko6J6dOnSpyTlq0aGE89dRTBd+74jkxjMv/DhmGYUybNs0YNmyYzd8jdz0vlyuL7nhefv31V8PX19c4depUsZ93xfNSmt+hv2rcuLHx888/F3zviufEMEo+L3PmzDEkGefOnStY1qdPH6Nbt24F31f0eXGay9BlUdLbXlavXq3o6OhCL9xu1qyZNmzYoJycnFK9DeZy+3BUJZ0XSYqOji52nbuelz59+ui6664r+D4/P18XLlxQeHi4JNc9LyWdk8DAwELnZPny5Tp48KAefPBBSa57TqTL/w5lZmbq3Xff1ciRI4usc+fzkpKSoj59+ig2NlYJCQlasGBBwTp3PS9LlixRrVq19Pnnn6tjx466+eabNWrUqIKfx1XPy+X+rPzVunXr5Ofnp2bNmkly3XMilXxeYmNjFRoaqi+++EKSdPjwYa1cuVKxsbGS7HNeXLIsliQlJcXmm15ycnKUlpZWqrfBXG4frojzctHXX3+t0NBQ3X333ZLc+7wsW7ZMDRs2VL9+/fThhx/qxhtvlOTe5+SVV17RM888U+gv5Evc+bzccMMNevvtt7Vy5Uq99dZbevjhhzVt2jRJ7ntedu/erT179mjz5s367rvvtHjxYs2dO1fDhw+X5L7n5a8mT56sRx99tOB7dz0n4eHhslqtGj16tBo0aKBGjRrp0Ucf1XPPPSfJPufF7cqiZPtNL39fXtLbYEq7D1fkzuflxIkTeuGFFzRr1ixVrly50Dp3PC/x8fH67bff9O2332rQoEGaPHlyofXudk527Nihbdu2qX///iVu527nRZIWLFig2rVrS5JuvPFGPfDAA3rrrbcKbeNu5+XChQvKzc3Viy++KA8PD1WrVk1PPvmkJk2apNzc3ILt3O28XHLmzBktWbJEffv2LbLO3c7Jrl27dOutt+rVV1/VH3/8oT179mjZsmX68MMPC21XkefF7cpiZGSk0tPTCy1LT0+Xt7e3QkJCFBYWJi8vL5vbRERElGofrsjdz8vp06eVmJiod955R23atClY7u7nRZIaN26sf/zjHxo1apQk9z0nQ4cO1b///e9i17vrebElOjpae/bskeS+5+XSKM9fJ1OOiopSTk6OUlJS3Pa8XDJz5kz16NFDVatWLVjmrufko48+UrVq1Qr+IRocHKxBgwbp6aefVnZ2tl3Oi9uVxfbt22vfvn06ffp0wbKtW7cqJiZG3t7epXobzOX24Yrc+bycPn1aPXv21PPPP6+EhARduHBBO3fulOSe5+Wrr74qMu1JlSpVdObMGUnueU4OHz6sQ4cOaejQoQVTfqSmpurNN98smCbGHc+LJH333XdFpptKSUlRVFSUJPf88yJJrVq1kiSlpqYWLDt+/Li8vLwUERHhtuflkr9fgpbc989KTk6OfHx8Ci3z8fHR+fPnde7cOfuclyt5asdZ2Hqq6NLj48nJyYZhGMbx48eN8PDwIlPnREZGGmlpaYZhGMaoUaOMZs2aFXkEvaR9OLLLPYVW3NPQ7nheMjMzjdjYWGPmzJnG6dOnjdOnTxu//PKL8cADDxRs48rnxdY5efXVV42BAwcaubm5hmEYRnp6utGoUSNjwIABBdu48jkxjMv/DhmG7d8jdzwvU6ZMMTp27GhkZWUZhmEYBw8eNCIiIox33323YBt3PC/nz5836tWrZzz33HOGYRjGhQsXjLi4uCLTxLjqeSnpd2jbtm1Gy5Ytba5z5XNiGLbPy/Llyw0PDw/jhx9+MAzDMLKzs40uXboYbdu2Ldimos+LS5bFc+fOGXFxcUaDBg2MSpUqGXFxccb48eML1h84cKDgRDdr1syYMGFCkX1MmDDBaN68udG2bVujS5cuxoEDBwqtL80+HM3lzsvEiRONuLg4o1KlSkaDBg2MuLg44/Tp04X24W7n5YknnrD50va/lkXDcL3zUtI52bFjh9G/f3+jdevWRocOHYwbb7zReOaZZ9z+z8olc+bMKfR79NfpLQzD/c7LgQMHjEGDBhmtWrUyOnToYNx0003G2LFjC/4ndom7nRfDMIydO3ca8fHxxk033VQw9cmlUn2Jq52X0vwOPfnkk8YHH3xQ7D5c7ZwYxuXPy7Rp04wWLVoYsbGxxk033WTce++9xqFDhwrtoyLPi8UwDOOqx0gBAADgktzunkUAAACUHmURAAAAxaIsAgAAoFiURQAAABSLsggAAIBiURYBAABQLMoiAAAAikVZBACUWX5+vs6ePXtV+/jrq8cAOC7KIoCrUrt2bQUHBysiIqLgy2KxyMfHp9CyqlWrauDAgWbHRTnYt2+fWrdurT/++EOSNHr0aEVERMjT01Oenp6KiIjQ6NGjC7avV6+eKleuXPDe43nz5kmSWrZsqeXLl5vyMwAoPcoigKs2f/58paamFnxJUrt27QotGzFihMkpHdPIkSNlsVi0b98+s6OUSkpKimJjYzVgwADddNNNkqQXX3xRqampioqKUlRUlFJTU/Xiiy8WfGb69OkKCAjQggULlJqaqrvuukuSNGXKFCUmJmrFihVm/CgASomyCAAotcGDBys6OlpPPvlkqbb/4YcfdOedd2rq1Knq3r17oXXt2rXTY489pgceeEDnzp2riLgAygFlEcBVWb58uVq1anXZ7YYMGaJ//etfdkiEirJjxw4tXLhQw4cPL9X233zzje6++27Nnj1bt912m81thg0bpkOHDmnq1KnlGRVAOaIsArgql+5Hu5zQ0FBFRkYqPz9f7777rho2bKjg4GCFh4frvvvu0549ewq2vXQPnMVi0cCBAzV37lzdeOON8vf31y233KKdO3cqPz9fzz//vGrVqqXIyEg9++yzys3NLdhHt27dFBwcLIvFokmTJmnYsGGqU6eOAgICFBMTo++//75IxlOnTmno0KGqUaOGgoODVadOHT333HOFHuT4634/+eQTJScn6/rrr5e3t3fB5eRjx47phRdeUNOmTRUZGamgoCAlJCRo48aNhY7XtGlTjRkzRpIUExNTcH9nenq6GjRooKpVqxa6RH3w4EFFRETIx8dHtWvXLtjP1KlTC+4Z7Nixo1atWqX27dsrJCREFotFI0eOLLRt8+bNFRwcrJCQEHXv3l1btmy57H8/Sfriiy8kSbfccstlt120aJEGDBigL7/8UnFxccVuFx4erkaNGmnWrFmlygDABAYAlDNJRlxcnM11Dz/8sOHv728sW7bMMAzDSE1NNTp16mSEhYUZhw4dKrKfhg0bGi+99JKRnZ1tpKamGvXr1zcaN25sjBkzxli9erVhGIYxe/ZsQ5LxwQcfFPr8999/b0gywsPDjQkTJhjZ2dnGmTNnjPvuu8/w8fEp+LxhGMbZs2eNpk2bGo0aNTJ27dplGIZhbNq0yahZs6YRGxtr5ObmFtlv06ZNjY8//tjIzc01fv31V8PT09PYu3evsXjxYqNy5crGihUrDMMwjIyMDKNfv35GQECAkZKSUijjq6++akgy9u7dW+RcFbcuLi7OiI6OLrJ9dHS0UadOHeOee+4x0tPTjezsbCMuLs549dVXDcMwjFGjRhmenp7GzJkzjby8PCMjI8Po27evUblyZePnn3+2+d/rrzp27GhEREQUuz46OtqIjo42Zs+ebURERBibNm267D4NwzDuvvtuw8fHx8jJySnV9gDsi7IIoNwVVxZ//PFHQ5LxyiuvFFq+c+dOQ5LxxBNPFNlPeHh4oRJxqUA999xzhbatVauWER8fX2jZpVL39+VpaWmGj4+P0aZNm4Jlr7/+uiHJ+O677wptO3nyZEOSMWfOnCL77dq1a6FtP/nkEyMzM9NYuXJlkZ/xzJkzhpeXl5GUlFRoeXmXRS8vL+Pw4cMFy9auXWusX7/e2LNnj+Hp6WkMGDCg0GdOnTplVK5c2ejWrVuR/f1djRo1jBtvvLHY9dHR0UalSpUMT09P4+GHH77s/i4ZOnSoIamgpANwLFyGBmA3s2fPlqQi96/Vr19fAQEBslqtRT7TokULeXl5FXxfo0YNSRenXfmrGjVq6NChQzaP27Fjx0Lfh4SEKCYmRuvWrdOxY8cKsvn6+io2NrbI8SXZzNahQ4dC3z/44IPy9/fXzTffrNdee63QuipVqigyMlK//fabzYzlpX79+qpevXrB923atFGrVq00f/585eXlFTn3gYGBql+/vpYvX17oMr4tJ06cUJUqVUrcpkqVKqpevbo+/vjjgkvsl3NpnydOnCjV9gDsy+vymwBA+di1a5ck6c4775Snp2ehdYZh6OTJk0U+ExoaWuh7b29vm8t9fHyKfaI2PDy8yLLIyEhJ0t69e3XNNddo165dys7OVs2aNYvkqlKlitLS0orsIywszObx8vLy9PHHH+vTTz/V/v37lZeXJ0k6fvy46tata/Mz5aW4TJfO/ZNPPlnkAZWsrCx5enoqPT1d11xzTbH7zs7OLlTcbfH395fValVsbKyee+45hYWF6YEHHijxM5f2mZ2dXeJ2AMxBWQRgN4ZhSJJWrFihRo0aleozFoulTMvLmuWvgoODC+aJLA0PD9sXZ4YPH6733ntP7733nh599FH5+vpKUqGHUq5Gfn5+mTNd+nmnTZumbt26XdFxK1eurJycnMtu16BBAy1ZskSdOnXSP/7xD4WGhpZ4zEslsTQPSgGwPy5DA7Cb6667TpJ0+PDhIusOHDign376qUKOe/To0SLLUlJSJEl16tSRJF177bU6ceKELly4UGTbrVu3aufOnaU+3qeffqqGDRtq6NChBUXxSlwacfv75eHjx4+XeV8lnftjx47phx9+uOw+IiMjderUqVIdr0WLFlq0aJE8PT3Vp08frV69uthtL+3zr5fPATgOyiIAu7n77rslSQsXLiyy7sknn9T06dMr5Lh/nybn+PHj2rBhg1q3bl1w2fXuu++WYRj68ssvC2174cIF3Xbbbdq+fXupj1epUqUiI5/Z2dk2S+ul+/UuFcJp06bpu+++k/S/8vTXgnf8+HHt3r271Fku6d27tzw9PW2e+9GjR+udd9657D4aNWpks2wWp2PHjvriiy+UnZ2t7t27a8eOHTa3O3TokEJCQhQREVHqfQOwH8oiALu5+eab9dhjj2nKlClasGCBDMNQTk6O3nnnHa1bt67CXgl46NAhTZw4UTk5OTp79qyeeuopSSr0AMbw4cPVvHlzvfDCCwWl5uTJk3rwwQfVoEGDIm8fKcldd92lX3/9VR9++KEMw9D58+f19NNP6/z580W2vf766yVJv/76qy5cuKA333xTGRkZki4+COTj46MJEybowoULOnfunJKSkorcV1katWvX1htvvKGlS5dq0qRJysvLU35+vj7//HN99tlnheZiLE7nzp2VmZmp/fv3l/q4PXv21EcffaRTp04pISHB5me3bt2qW2+9tSw/DgB7Mu9BbACuZujQoUZ4eLghyfD29jbCw8ONWbNmFdomPz/fGDdunNGoUSMjJCTEiI6ONu6++27j999/L9jmww8/LNiPr6+vER4ebuTm5ho9evQwAgICDElGtWrVjCeeeMLYu3evER4ebnh7exseHh5GeHi4sWTJEsMw/jfFzUcffWS88sorRr169Qx/f3+jRYsWxrffflsk/6lTp4xhw4YZUVFRRnh4uFGvXj1j+PDhxsmTJwu2GThwoFGtWjVDkhEQEGCEh4cbW7ZsKbSfs2fPGsOHDzeioqKMkJAQo3nz5sb7779v1KpVq+C8XPp58/LyjIcfftgICwszatSoYTzyyCNGXl5ewb6+/vpro0mTJkZgYKARExNjfP/990ZcXFzBzzpjxgxjyZIlRnh4uOHh4VGw/xdeeMHmf6PPP//caNGihREcHGxERUUZXbt2NX766adS/fdNS0sz/Pz8jLFjxxZa/sYbbxQc/1KuN954o9A277zzjiHJqFKlihEeHm6cP3/eMAzD2LBhgyHJsFqtpcoAwP4shmHjLm8AcAErVqxQp06dNGXKFA0cONDsOC7h9ddf1wcffKBdu3bJz8/vqvfXs2dPZWVl6ZtvvimHdAAqApehAQCl9uKLL6p169a66667bD4MVBavvfaafv/9d82YMaOc0gGoCJRFAECpeXp6au7cuWrfvr22bt16VfvavXu31q1bV+zckAAcA5ehAbikbt26ae3atTp58qQCAgJUr149bd682exYAOB0KIsAAAAoFpehAQAAUCzKIgAAAIpFWQQAAECxKIsAAAAoFmURAAAAxaIsAgAAoFiURQAAABTr/wHzJAvtDqcPzgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from POSEIDON.visuals import plot_PT\n", "\n", "# Produce plots of atmospheric properties\n", "fig_PT = plot_PT(planet, model_Madhu, atmosphere_Madhu, log_P_max = 2.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets vary one parameter at at a time." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* $a_1$ controls the temperature gradient from the top of the atmosphere to log_P1:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from POSEIDON.visuals import vary_one_parameter_PT\n", "\n", "param_name = 'a1'\n", "vary_list = [0.3,0.5, 1, 1.5, 2]\n", "\n", "vary_one_parameter_PT(model_Madhu, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* $a_2$ controls the temperature gradient from log_P1 to log_P2:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'a2'\n", "vary_list = [0.3,0.5, 1, 1.5, 2]\n", "\n", "vary_one_parameter_PT(model_Madhu, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* $\\log P_1$ is the pressure that defines the boundary between region 1 and 2:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'log_P1'\n", "vary_list = [-6, -4, -2, 0]\n", "\n", "vary_one_parameter_PT(model_Madhu, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* $\\log P_2$ is the pressure that defines a potential inversion point:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'log_P2'\n", "vary_list = [-6, -4, -2, 0]\n", "\n", "vary_one_parameter_PT(model_Madhu, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\log P_3$ is the pressure that defines the boundary between region 2 and 3:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'log_P3'\n", "vary_list = [-2, 0, 2]\n", "\n", "vary_one_parameter_PT(model_Madhu, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* $T_{\\rm{ref}}$ is the temperature at a reference pressure (here 10 mbar):" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'T_ref'\n", "vary_list = [600, 1200, 1800, 2400]\n", "\n", "vary_one_parameter_PT(model_Madhu, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dayside Guillot\n", "\n", "This profile has four free parameters:\n", "\n", "* $\\log \\kappa_{IR}$: The 'infrared' opacity \n", "\n", "* $\\log \\gamma$: The ratio between optical and IR opacity\n", "\n", "* $T_{\\rm{int}}$: Internal temperature\n", "\n", "* $T_{\\rm{equ}}$: 'Equilibrium' temperature \n", "\n", "where the free parameters are used to compute \n", "\n", "$T_{irr} = \\sqrt{2}T_{eq}$, and the `infrared optical depth', $\\tau = P \\kappa_{IR}/g$\n", "\n", "which are plugged into\n", "\n", "$T^4 = \\frac{3T_{int}^4}{4} \\left(\\frac{2}{3} + \\tau\\right) \\notag \\hspace{2pt} + f\\frac{3T_{irr}^4}{4}\\left(\\frac{2}{3} + \\frac{1}{\\gamma\\sqrt{3}} + \\left(\\frac{\\gamma}{\\sqrt{3}}-\\frac{1}{\\gamma\\sqrt{3}}\\right)e^{-\\gamma\\tau\\sqrt{3}}\\right)$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['log_kappa_IR' 'log_gamma' 'T_int' 'T_equ']\n" ] } ], "source": [ "# Guillot Dayside \n", "\n", "model_name_Guillot_dayside = 'Guillot_dayside'\n", "\n", "bulk_species = ['H2', 'He']\n", "param_species = []\n", "\n", "# Create the model object\n", "model_Guillot_dayside = define_model(model_name_Guillot_dayside, bulk_species, param_species, \n", " PT_profile = 'Guillot_dayside')\n", "\n", "print(model_Guillot_dayside['PT_param_names'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets set up some parameters and an atmosphere object" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from POSEIDON.core import make_atmosphere\n", "\n", "# Atmospheric pressure grid\n", "P_min = 1.0e-6 # 1 ubar\n", "P_max = 100 # 100 bar\n", "N_layers = 100 # 100 layers\n", "\n", "# Let's space the layers uniformly in log-pressure\n", "P = np.logspace(np.log10(P_max), np.log10(P_min), N_layers)\n", "\n", "# Specify the reference pressure\n", "P_ref = 1 # The R_p_ref parameter will be the radius at 1 bar\n", "\n", "# Free parameters\n", "R_p_ref = 1.12 * R_J\n", "\n", "log_kappa_IR = -4.83 \n", "log_gamma = -0.41 \n", "T_int = 262.8\n", "T_equ = 1158.0 \n", "\n", "PT_params = np.array([log_kappa_IR, log_gamma, T_int, T_equ])\n", "log_X_params = np.array([])\n", "cloud_params = np.array([])\n", "\n", "atmosphere_Guillot_dayside = make_atmosphere(planet, model_Guillot_dayside, P, P_ref, R_p_ref, \n", " PT_params, log_X_params, cloud_params)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Produce plots of atmospheric properties\n", "fig_PT = plot_PT(planet, model_Guillot_dayside, atmosphere_Guillot_dayside, log_P_max = 2.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets see what varying the different parameters does." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'log_kappa_IR'\n", "vary_list = [-6,-4,-2,0,2]\n", "\n", "vary_one_parameter_PT(model_Guillot_dayside, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'log_gamma'\n", "vary_list = [-6,-4,-2,0,2]\n", "\n", "vary_one_parameter_PT(model_Guillot_dayside, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'T_int'\n", "vary_list = [0,200,400,600,1000]\n", "\n", "vary_one_parameter_PT(model_Guillot_dayside, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For normal profiles, $T_{\\rm{equ}}$ is typically the value for which the upper profile becomes isothermal." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'T_equ'\n", "vary_list = [700,1200,1500,1800]\n", "\n", "vary_one_parameter_PT(model_Guillot_dayside, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Line\n", "\n", "This profile has six free parameters:\n", "\n", "* $\\log \\kappa_{IR}$: The 'infrared' opacity \n", "\n", "* $\\log \\gamma$: ratio between optical and IR opacity (channel 1)\n", "\n", "* $\\log \\gamma_2$: ratio between optical and IR opacity (channel 2)\n", "\n", "* $\\alpha$: partitions the flux between channel 1 and 2 (ranges 0 to 1)\n", "\n", "* $\\beta$: a `catch-all' term for heat redistribution, geometric arguments, emissivity, albedo, and errors in the equilibrium temperature\n", "\n", "* $T_{\\rm{int}}$: Internal temperature\n", "\n", "where the free parameters are used to compute \n", "\n", "$T_{irr} = \\beta T_{eq}$, and the `infrared optical depth', $\\tau = P \\kappa_{IR}/g$\n", "\n", "which are plugged into\n", "\n", "$\n", "T^4 = \\frac{3T_{int}^4}{4}\\left(\\frac{2}{3} + \\tau\\right) + \\frac{3T_{irr}^4}{4}\\left(1-\\alpha\\right)\\xi_{\\gamma}(\\tau) + \\frac{3T_{irr}^4}{4}\\alpha\\xi_{\\gamma2}(\\tau)\n", "$\n", "\n", "where $\\xi$ is given by equation 14 in Line 2013.\n", "\n", "Note that, unlike the Guillot profile, T_eq is NOT a free parameter and MUST be passed into the planet object. Additionally, the Line profile reduces down to the Guillot profile when alpha = 1. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['log_kappa_IR' 'log_gamma' 'log_gamma_2' 'alpha_Line' 'beta_Line' 'T_int']\n" ] } ], "source": [ "model_name_Line = 'Line'\n", "\n", "#***** Define model *****#\n", "\n", "bulk_species = ['H2', 'He']\n", "param_species = []\n", "\n", "# Create the model object\n", "model_Line = define_model(model_name_Line, bulk_species, param_species, \n", " PT_profile = 'Line')\n", "\n", "print(model_Line['PT_param_names'])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# Atmospheric pressure grid\n", "P_min = 1.0e-6 # 1 ubar\n", "P_max = 100 # 100 bar\n", "N_layers = 100 # 100 layers\n", "\n", "# Let's space the layers uniformly in log-pressure\n", "P = np.logspace(np.log10(P_max), np.log10(P_min), N_layers)\n", "\n", "# Specify the reference pressure\n", "P_ref = 1 # The R_p_ref parameter will be the radius at 1 bar\n", "\n", "# Free parameters\n", "R_p_ref = 1.12 * R_J\n", "\n", "log_kappa_IR = -4.69 \n", "log_gamma = -0.31 \n", "log_gamma_2 = -1.37 \n", "alpha_Line = 0.11 \n", "beta_Line = 1.13 \n", "T_int = 258.8 \n", "\n", "PT_params = np.array([log_kappa_IR, log_gamma, log_gamma_2, alpha_Line, beta_Line, T_int])\n", "log_X_params = np.array([])\n", "cloud_params = np.array([])\n", "\n", "atmosphere_Line = make_atmosphere(planet, model_Line, P, P_ref, R_p_ref, \n", " PT_params, log_X_params, cloud_params)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Produce plots of atmospheric properties\n", "fig_PT = plot_PT(planet, model_Line, atmosphere_Line, log_P_max = 2.0)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'log_kappa_IR'\n", "vary_list = [-6,-4,-2,0,2]\n", "\n", "vary_one_parameter_PT(model_Line, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'log_gamma'\n", "vary_list = [-6,-4,-2,0,2]\n", "\n", "vary_one_parameter_PT(model_Line, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'log_gamma_2'\n", "vary_list = [-6,-4,-2,0,2]\n", "\n", "vary_one_parameter_PT(model_Line, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'alpha_Line'\n", "vary_list = [0,0.5,1]\n", "\n", "vary_one_parameter_PT(model_Line, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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zJnWdxBO9njA7joiUQqnqlnJQN7SIiIiIuKRuaBEREbGUffv2sWDBggseT0hIoGnTpiYkqtpULIqIiIil1KtXj3HjxpkdQ85RN7SIiIiIuKRiUURERERcUrEoIiIiIi6pWBQRERERl1QsFiIxMRGHw2F2DBEREUuaO3cudevWZfXq1aV63e7du2nUqFGZz5uWlsbQoUOx2WyMHDmSkydPnvf85s2bC9arNtvixYtp1KgRzz//fJH79ezZk+jo6IKvxx57rETHdzgcbp/o2xUVi4VISkrS6i0iIiIujBo1ipiYGI+fNyoqiilTpgDwzDPPEBwcfN7zrVq1Yt68eR7P9Veff/45mZmZJSqM69evT2pqasHXAw88UKJzxMXFkZSUVM6kJaOpc0RERLxeP2BHOV7fFFhS6lctX76c+fPns23bNvr27Vuw3N4XX3zBa6+9RnR0NMnJyTzyyCO0aNGCBx54gMOHDzNq1CiaNGnCxIkTGTp0KHa7neDgYPLy8pg5cyZ2u71MP8X48eOZMWMGhmGwZs0aRo4cSevWrQkJCWHjxo3ExsbyyiuvAJCRkcG9995LzZo1SUtLo0ePHowYMaJM5/2rXr16Ac71r4tz4sQJJkyYgGEYVKtWjUmTJlG9enW35HAXFYsiIiJSJgEBAcydO5czZ87QrFkzunXrRtOmTRk6dCg///wzISEhrFixguHDh7N+/Xoee+wx1q5dy9y5cwuOcdVVVzFs2DAAxowZw4IFCxg0aFCZ8kyfPp0ZM2YA0L17d+677z4effRRtmzZgp+fHw0bNmT79u3ExMRw991306tXL4YOHUpubi7NmjWjS5cutGzZ8rxjLl++nNGjRxd6vuuvv57nnnuuTFnz9e/fn+uvv57q1avz7LPPMmjQID7++ONyHdPdVCyKiIh4vdK3CrpD/v2BAQEBdOzYkZUrV3Lw4EFOnz7NQw89BMCZM2fw9fXFMIxCj2G32xk2bBhhYWFs3LiR2rVruzVjbGwsQUFBADRp0oSUlBRiYmJYvnw5hmHw448/AhATE0NycvIFxWKfPn3YvXu3WzP92a233lrw72HDhjF+/HgyMjIIDw+vsHOWlopFERERKRObzVbw7/xi0DAMQkNDmT59esFzJ06cOG/ffOvXr2f8+PHs3r2batWqMXnyZHJzc92aMSAgoODfdrudvLy8gu9HjRrFFVdcATiLWh+fC4dyVGTL4unTp0lJSaFx48YA+Pv7A5CVlVXmY1YEDXARERGRMlm3bh3gLLS+++47evbsSZcuXThy5Ag7djjvoUxLS+Omm24CIDAwsKAYfP311zl48CCBgYEEBgYCsGfPnjLlWL16NW+88UapXhMfH8+KFSsKvr/lllvYt2/fBfvltywW9lWWQnHbtm2sWrUKgNTUVO69996C51asWEGLFi2oW7duqY9bkdSyWIjExEQSEhI0IlpERKQQc+fOZfv27Vx66aXceeedbN26lXHjxtGhQwcAFi5cyLhx44iJieHIkSPMmjULcI5mbtOmDSNGjCAvL4+XX36Zd999l/j4eNq0acOOHTvYunUrcXFxdO7c+YLzpqWl8fDDDwPOwSx+fn4A7N+/n/79+xcMsJk4cSLDhw9n3rx57N+/n08++YSMjAy2b9/OjBkzaN26NdOnT2fs2LGMGTMGwzBISEgoaOErr7S0NKZOncr27dv54IMPOHbsWME0Nx999BFfffUVV199NeHh4QXd8DVq1GDXrl0sXLiwROdwOBwsXbrULXmLYzNc3URQBR07dowaNWqQmZlJaGho0TsHBkLv3uChN0pKaE1/SFkOg7PNTiIXqAlcDqwobkfxoB0ZO2g2qxmTuk7iiV5PmB1HREqhVHVLOagbWkRERERcUje0iIiIWMq+fftYsGDBBY8nJCTQtGlTExJVbSoWRURExFLq1avHuHHjzI4h56gbWkRERERcUrFYiMTERBwOh9kxRERERArlcDgKRlhXNHVDFyIpKalCRxWJiIiIlEf+9EKzZ8+u8HOpZVFEREREXFKxKCIiIqUyd+5c6taty+rVq0v1ut27d9OoUaMynzctLY2hQ4dis9kYOXIkJ0+ePO/5zZs3F6xXbabHH3+cIUOGMH78eOLj4/nkk0/MjlQu6oYWERGRUhk1ahTz58/3+HmjoqKYMmUKb731Fs888wzBwcHnPd+qVSvmzZvn8Vx/9dlnn7FixQp8fX3ZunUrHTp0ID09nWrVqpkdrUxULBZCy/2JiIgUb/ny5cyfP59t27bRt2/fguX2vvjiC1577TWio6NJTk7mkUceoUWLFjzwwAMcPnyYUaNG0aRJEyZOnMjQoUOx2+0EBweTl5fHzJkzsdvtZcozfvx4ZsyYgWEYrFmzhpEjR9K6dWtCQkLYuHEjsbGxvPLKKwBkZGRw7733UrNmTdLS0ujRowcjRoxwy3VZuXIlPj7OztsmTZqQlZXFkSNH3FosenK5PxWLhdAAFxER8Sb93u3HjiM7yvz6pjWbsuQfS0r9uoCAAObOncuZM2do1qwZ3bp1o2nTpgwdOpSff/6ZkJAQVqxYwfDhw1m/fj2PPfYYa9euZe7cuQXHuOqqqxg2bBgAY8aMYcGCBQwaNKhMP8f06dOZMWMGAN27d+e+++7j0UcfZcuWLfj5+dGwYUO2b99OTEwMd999N7169WLo0KHk5ubSrFkzunTpQsuWLc875vLlyxk9enSh57v++ut57rnnLng8v1DMf31CQgJ169Yt08/kiicHuKhYFBERkTLJvz8wICCAjh07snLlSg4ePMjp06d56KGHADhz5gy+vr4YhlHoMex2O8OGDSMsLIyNGzdSu3Ztt2aMjY0lKCgIcLbypaSkEBMTw/LlyzEMgx9//BGAmJgYkpOTLygW+/Tpw+7du8t07j179jB37lzefffdcv0MZqsyxWKnTp0IDAwEoEOHDjz11FMmJxIREXGPsrQKuoPNZiv4d34xaBgGoaGhTJ8+veC5EydOnLdvvvXr1zN+/Hh2795NtWrVmDx5Mrm5uW7NGBAQUPBvu91OXl5ewfejRo3iiiuuAJxF7Z9bBPOVpWURIDk5mbvvvpt58+YRERFRnh/BdFVmNPS1117L6tWrWb16dbGFoiblFhERKd66desAZ6H13Xff0bNnT7p06cKRI0fYscPZLZ6WlsZNN90EQGBgYEEx+Prrr3Pw4EECAwMLGnP27NlTphyrV6/mjTfeKNVr4uPjWbFiRcH3t9xyC/v27btgv/yWxcK+XBWKO3bsYNy4cbzyyitERUXx3nvvFVwrd6myk3Knp6czduxYvv32W3bt2nXB83PmzOHll18mKCiIsLAwXnzxRerXr1+iY2/evJmnnnqK48ePc9NNN9GmTRuX++qeRREREdfmzp3L9u3bufTSS7nzzjvZunUr48aNo0OHDgAsXLiQcePGERMTw5EjR5g1axbgHM3cpk0bRowYQV5eHi+//DLvvvsu8fHxtGnThh07drB169aC+/H+Ki0tjYcffhhwDmbx8/MDYP/+/fTv379ggM3EiRMZPnw48+bNY//+/XzyySdkZGSwfft2ZsyYQevWrZk+fTpjx45lzJgxGIZBQkICjRs3dsv1ufbaa0lPT6d169YAZGVl8dFHH7nl2Pk8ec+izXB1E4GHbd26lbFjx9KqVSs+/vjjC+4PWLRoEf/3f//Hli1biIiI4JFHHmHx4sV8//33hTYb/9WGDRuIjY0lMzOTjh078v3331O9evXz9jl27Bg1atQgMzOz+GIxMBB69wYPjUSSElrTH1KWw+Bss5PIBWoClwMrittRPGhHxg6azWrGpK6TeKLXE2bHEZFSKFXdUg6W6YaOiIjA4XAQGxtb6PPTpk1jyJAhBf3+d911F5s2bWLlypUF+3Tq1OmCr8GDBwMUHLdGjRpERETw22+/ucyibmgRERGxsirZDR0dHe3yuezsbDZs2HDeDaZhYWE0bNiQtWvX0rt3bwC++eabQl//22+/sX79eoYPH05eXh4pKSlFdl+rG1pERMQ8+/btY8GCBRc8npCQQNOmTU1IZD2aOucv0tPTycnJITw8/LzHw8PDSUlJKfb1oaGhfPTRR+zfv5/9+/fz0EMPERUVVVFxRUREpBzq1avHuHHjzI4h53hFsZivsGH3hT32V3Xq1GHx4sUVkEhERESkcvOKYjEyMhJfX18yMjLOezwjI6PI7uuySkxMxN/fH3A282rZPxEREbECh8NRMK4iO9szgzm9olj08/MjNjaWzZs3FzyWmZlJcnJywezx7qR7FkVERMSK/tyIdezYMY/cs2iZ0dDFmTBhAvPmzePw4cMAzJo1i7Zt29KzZ0+Tk4mIiIhUXpZpWczKyqJPnz6kpqaSmppKjx49GDhwIGPHjgVgwIABpKam0rt3bwIDAwkLC2PJkiUlmmNRRERERMrGMsViUFAQq1evLnKfMWPGMGbMGM8EEi9W/KAnERERKRk1y4mIiIiISyoWRURERMQlFYsiIiIi4pKKRRERERFxScWiiIiIiLikYlFEREREXFKxKCIiIiIuqVgUEREREZdULIqIiIiISyoWRURERMQlFYsiIiIi4pKKRRERERFxScWiiIiIiLikYlFEREREXFKxKCIiIiIuqVgUEREREZdULBYiMTERh8NhdgwREY+xYTM7goiUgsPhIDEx0SPn8vXIWbxMUlISoaGhZscQERERKVRcXBydO3dm9uzZFX4utSyKiIiIiEsqFkVERETEJRWLIiIiIuKSikUR8RDD7AAiIlIGKhZFRERExCUViyIiIiLikopFEREREXFJxaKIiIiIuKRiUURERERcUrEoIiIiIi6pWBQRERERl1QsFiIxMRGHw2F2DBEREZFCORwOEhMTPXIuX4+cxcskJSURGhpqdgwRERGRQsXFxdG5c2dmz55d4edSy6KIiIiIuKRiUURERERcUrEoIiIiIi6pWBQRERERl1QsioiIiIhLKhZFRERExCUViyIiIiLikorFQmhSbhEREbEyTcptMk3KLSJVhYFhdgQRKQNNyi0iIiIilqBiUURERERcUrEoIiIiIi6pWBQRERERl1QsioiIiIhLKhYLoalzRERExMo0dY7JNHWOiIiIWJmmzhERERERS1CxKCIiIiIuqVgUEREREZdULEolo6XLRERE3EnFYiE0GlpERESsTKOhTabR0CIiImJlGg0tIiIiIpagYlFEREREXFKxKCIiIiIuqVgshAa4iIiIiJVpgIvJNMBFRERErEwDXERERETEEqpUsbhr1y5CQ0P5+uuvzY4iIiIi4hWqTLGYl5fHU089RatWrYrdV/csioiIiJV58p5FSxWL6enpDB48mMaNGxf6/Jw5c2jfvj1dunQhPj6evXv3lvjYzz33HCNHjiQgIKDYfZOSkoiLiyvxsUVEREQ8KS4ujqSkJI+cyzLF4tatWxk4cCC1atXCMC5c33fRokVMnTqVFStWsG7dOjp16kT//v3Jy8sr9tg//fQTAO3atXNzahEREZHKzTKjoSMiInA4HLz77rt8/PHHFzw/bdo0hgwZQkREBAB33XUXU6ZMYeXKlfTu3RuATp06XfC6Ro0a0aZNGwCeeOIJ9uzZwzvvvENubi7du3cvNEtiYiIJCQlqXRQRERFLcjgcLF261CPnskyxGB0d7fK57OxsNmzYwOjRowseCwsLo2HDhqxdu7agWPzmm2+KPc+nn37KLbfcwhVXXOFyH02dIyIiIlamqXP+Ij09nZycHMLDw897PDw8nJSUlBIf56WXXiI5OZm33nqL3377zd0xRURERCody7QsloTNZivRY67861//4l//+pc7I4mIiIhUal5RLEZGRuLr60tGRsZ5j2dkZBTZfV1WiYmJ+Pv7A85mXt27KCIiIlbgcDgKpvfLzs72yDm9olj08/MjNjaWzZs3FzyWmZlJcnIyXbt2dfv5dM+iiIiIWNGfG7GOHTumexb/bMKECcybN4/Dhw8DMGvWLNq2bUvPnj3NC1WKLnARAdB/M1ZVmlt6RKRqsUzLYlZWFn369CE1NZXU1FR69OjBwIEDGTt2LAADBgwgNTWV3r17ExgYSFhYGEuWLMHHx2vqXRERERGvY5liMSgoiNWrVxe5z5gxYxgzZoxnAomIiIiI93RDi4iIiIjnqVgUEREREZdULIqIiIiISyoWRURERMQlFYsiIiIi4pKKRRERERFxScWiiIiIiLikYlFEPMQwO4AUwjD0vohI0VQsioiIiIhLKhZFRERExCUViyIiIiLikopFEREREXFJxaKIiIiIuKRiUURERERcUrEoIiIiIi6pWBQRERERl1QsFiIxMRGHw2F2DBEREZFCORwOEhMTPXIuX4+cxcskJSURGhpqdgwRERGRQsXFxdG5c2dmz55d4edSy6KIiIiIuKRiUURERERcUrEolZDN7AAiIiKVhopFEREREXFJxaKIiIiIuKRiUURERERcUrEoIiIiIi6pWBQRERERl1QsiogINs0iICIuqFgUEREREZdULIqIiIiISyoWC5GYmIjD4TA7hoiIiEihHA4HiYmJHjmXr0fO4mWSkpIIDQ01O4aIiIhIoeLi4ujcuTOzZ8+u8HOpZVFEpAozMMyOICIWp2JRRDxII25FRLyNikURERERcUnFooiIiIi4pGJRRERERFxSsVhWhm4KtyS9Lxam90ZExBupWBQRERERl1QsFkKTcouIiIiVaVJuk2lSbhEREbEyTcotIiIiIpagYlFEREREXFKxKCIiIiIuqVgUERFsNi3FKCKFU7EoIiIiIi6pWCyEps4RERERK9PUOSbT1DkiIiJiZZo6R0REREQsQcWiiIiIiLikYlFEREREXFKxKCIiIiIuqVgshEZDi4iIiJVpNLTJNBpaRERErEyjoUVERETEElQsiohUYYZhmB1BRCxOxaKIiIiIuKRisRAa4CIiIiJWpgEuJtMAFxEREbEyDXAREREREUuoEi2LWVlZ/OMf/6Bz5878+uuvdOvWjREjRpgdS0RERMTyqkSxmJeXR//+/Rk+fDgnTpygfv36RRaLiYmJJCQkEBcX58GUIiIiIiXjcDhYunSpR85lqW7o9PR0Bg8eTOPGjQt9fs6cObRv354uXboQHx/P3r17S3Tc4OBghg8fDkBycjItW7Yscv+kpCQViiIiImJZcXFxJCUleeRclikWt27dysCBA6lVq1ah834tWrSIqVOnsmLFCtatW0enTp3o378/eXl5JT7Hyy+/zKhRo3j66afdGV1ERESk0rJMsRgREYHD4SA2NrbQ56dNm8aQIUOIiIgA4K677mLTpk2sXLmyYJ9OnTpd8DV48OCC5//5z3/icDi4/fbbSUtLc5lFU+eIiIiIlVXJqXOio6NdPpednc2GDRsYPXp0wWNhYWE0bNiQtWvX0rt3bwC++eabQl//yy+/cPLkSWJjY6lWrRrVqlXj4MGDREVFFbq/ps4RERERK/Pk1DmWKRaLkp6eTk5ODuHh4ec9Hh4eTkpKSrGv9/f3JykpidatW3PgwAH69OlDmzZtKiquiIiISKXhFcViPpvNVqLH/qpZs2bMmzevIiKJiIiIVGpeUSxGRkbi6+tLRkbGeY9nZGQU2X1dVomJifj7+wPOZl6NjBYRERErcDgcBeMqsrOzPXJOrygW/fz8iI2NZfPmzQWPZWZmkpycTNeuXd1+Pt2zKCIiIlb050asY8eOabm/P5swYQLz5s3j8OHDAMyaNYu2bdvSs2dPk5OJiIiIVF6WaVnMysqiT58+pKamkpqaSo8ePRg4cCBjx44FYMCAAaSmptK7d28CAwMJCwtjyZIl+Ph4Tb0rIiIi4nUsUywGBQWxevXqIvcZM2YMY8aM8UwgEREREfGebmgRERER8TwViyIiIiLikopFEREREXFJxaKIiIiIuKRiUURERERcKvFo6N9//5358+fz1Vdf8fvvv3P48GGys7OpVq0aderUoVWrVlxzzTUMGjRIE1qLiIiIVBLFtiwePHiQQYMG0bJlSyZPnsyWLVuoWbMml156KZ07d6Zly5YYhoHD4WDkyJHUrVuXJ5980hPZRURERKSCFdmyuGfPHrp160bdunV577336NmzJzVr1nS5/86dO1m0aBHPPvssP/zwA++//77bA4uIiIiI57hsWTQMgxtvvJHx48ezbt06Bg4cWGShCNCkSRMmTJjAH3/8wYkTJ3j88cfdHlhEREREPMdly2JWVhZz586lffv2pT5otWrVWLx4MZs2bSpXOBERERExl8tisVq1ahcUio888ggA8fHxXH755UUe2N/fn9jYWDdEFBERERGzlGrqnMmTJ7N69Wry8vIqKo+IiIiIWEiJp84BCA8PZ8WKFdjt9orK4z1sNrMTiIiUm02/y0SkGKVqWWzRogUnT54scp8HH3ywXIFERERExDpKVSw++eSTjBo1irS0NJf7vPbaa+UOJSIiIiLWUKpu6Iceeog9e/bQoEEDmjVrRmRkJD4+59ebGRkZbg0oIiIiIuYpVbH45ZdfUr9+ferUqcOpU6dITk6+YJ/c3Fy3hTNLYmIiCQkJxMXFmR1FRERE5AIOh4OlS5d65FylKhYjIyPZtWtXkfvUrl27XIGsICkpqWTrWxtGxYcREfEAQ7/PRLxKXFwcnTt3Zvbs2RV+rlLds/jUU08Vu88bb7xR1iwi5aeRnRam90ZExBuVqli89dZbi91nw4YNZQ4jIiIiItZSqm7oPzt+/DhHjhw57zHDMJg1a5amzxERERGpJEpdLM6dO5fHHnuMAwcOVEQeEREREbGQUhWLzz//PP/+978ZOHAgzZo147nnnmPChAkA7Nmzh3fffZfbb7+9QoKKiIiIiOeVqlicO3cu7777LjfccAMAr7zyCg8//HDB84MGDeL99993b0KRUtOoTuvSe2NVht4bEXGhVANcDhw4UFAowoVTLVxzzTV888037kkmIpWMRkNbkU3vi4gUo1TFYvXq1cnJyTnv+5SUlILvjx49yt69e92XTkRERERMVapisXnz5tx///0FBWP79u25/fbb+eGHH/jhhx8YMmQIMTExFRJUREQqjiblFhFXSnXP4i233MK9997Lr7/+yrJly7j33nu54oor6NChAwA+Pj4sWLCgQoKKiIj72TSRvYgUo1TF4rBhwxg2bFjB97GxsXz99de88847BAYGcv3119OxY0d3ZxQpJbWQWJfeG6vSABcRcaXMk3Lni42NJTY21h1ZLCMxMZGEhATi4uJc76S/xi1K74t16b2xIg1wEfFODoeDpUuXeuRcZSoWf//9d5YsWcKuXbsAaNKkCX379qV58+ZuDWeWpKQkQkNDzY4hIiIiUqi4uDg6d+7M7NmzK/xcpSoW8/LyuOeee5g9ezZ5eXnnPTdx4kTGjBnDzJkzdQ+MiLigrk6r0gAXEXGlVMXi1KlTmTNnDv379yc+Pp7atWtjGAYpKSksW7aMuXPnEhERcd5E3SIiTvoj0or0x72IFKdUxeIrr7zC/Pnzz5uYO98dd9zBggULuOeee1QsioiIiFQSpZpnMTs7u9BCMd/AgQPJzs4udyivoW4ba9L7YmF6b6xKo6FFxJVSFYuNGjXiyJEjLp8/fPgwderUKXcokTJTl5qF6b2xIo2GFpHilKpYfOKJJxgxYgT79++/4Ll9+/YxdOhQ/vOf/7gtnIhUNmq9sioNcBERV4q8Z/Hqq6++4LGdO3fSuHFjmjRpQlRUFABpaWns3LmTmjVrkpWVxfXXX18xaUVKRP/TEykpDXARkeIUWSx++eWX1K9f/7zHbDYbdevW5cyZM+zZs6fg8bp16xa8xtuVaFJusSj9j8+6bKiQt578bmjdsyjiXSwzKXdkZGTBxNslVbt27XIFsgJNyi0iIiJW5slJuYu8Z/Gpp54q9QHL8hqvpXt8LErvi3XpvbGa/G5o3bMoIq4UWSzeeuutpT5gWV7jlXSfj0XpfbEuvTdWpG5oESmOy2LxxIkT9OjRg507d5bpwG+//TZjx44tczARqYxUkFiVWhZFxBWXxWL16tX55z//Sbdu3Xj99dfJzc0t0QEPHTrEhAkTuO+++7jvvvvcFlSkxPQ/PYtSy6IVaTS0iBSnyAEut9xyC3l5eYwZM4b77ruPbt260bx5c6KioggODsbX15ezZ89y9OhR9u/fz+bNm1m/fj2NGzdm1apV1KtXz1M/h+fpF6w16X2xMI2GtiJ1Q4tIcYpdG/rWW2+lZ8+ePPvss7z//vssWrSo0P1sNhuXXXYZzzzzDHfccQd+fn5uD+spmjpHpCKokLciDXAR8U6WmTonX506dZg2bRrTpk1jz549bN++ncOHD5OdnU21atWoXbs2l1xyCTVq1KjovB5R4qlz9MvVovS+WJfeG6tSy6KId/Hk1DklKhb/rEGDBjRo0KAisngXdXdalN4X61I3tBUVdEPrj18RcaFUa0OLiJSdikUr8rE5/zeglkURcUXFYnnoL3ELUsuitem/GavRPYsiUhwVi2Wlbmhr0//4LEj/zViRRkOLSHFULBYiMTERh8NhdgwpCxXxFqZuaCtSy6KId3I4HCQmJnrkXKUe4FIVaDR0ZWCgliwr0n8zVpN/z2KekWdyEhEpDU+OhlbLYlmpBcuizr0vKuQtyAcVi9ajbmgRKU6pi0XDMFi0aBEjR45k4MCBAPzxxx8sXry4xEsCVhoqSCxIRbx1qRvaitQNLSLFKVU39KlTp4iPj+err77CMAyqV69e8PioUaOYMWMGH330Ucm6cEUqQkGLr/7HZz0qFq1I3dAiUpxStSxOmTKFnTt38tJLL/HDDz8QHBwMQNu2bUlOTqZOnTo8+uijFRLUk0o0wMVmU8uiJalYtC4Vi1akbmgR72TZAS4LFixgyZIltGvXDvhf9wVAQEAAzz//PB07duSpp55ya0hPK/EAF7EgdUNbl4pFK8r/Pa6WRRHvYtkBLpmZmQWFYmFq1qzJiRMnypvJe6hl0br0Pz4L8gH0vliNuqFFpDilKhYDAwPZvXu3y+d//vln/P39y5vJ7Xbs2MGQIUOYNm0aw4YNY9myZeU/qLqhrUn3LFqYWhatSMv9iUhxStUNPWDAAPr168fzzz9P165dCx4/e/YsH330Effff3/BCGkrOXLkCMOGDaNXr14cOnSI9u3bs2/fPpf7JyYmkpCQQFxcnOuDauoci9LUOdalqXOsSC2LIt7J4XCwdOlSj5yrVC2LU6dOxWazcdVVVxEaGsqhQ4eIiooiKCiIQYMGERoaysMPP1zmMOnp6QwePJjGjRsX+vycOXNo3749Xbp0IT4+nr1795bouJdffjm9evUCIDc3t2BgjitJSUlFF4r5VJBYkFoWrcuGuqGtR8WiiHeKi4sjKSnJI+cqVbFYo0YNvvnmGyZPnkzTpk3x8/Pj+PHjtGrVikceeYS1a9cSEhJSpiBbt25l4MCB1KpVq9D5vhYtWsTUqVNZsWIF69ato1OnTvTv35+8vNL9gps5cyZPP/10mTKeRy2L1qRuaAtTN7QVqVgUkeKUqht6z549APz73//moYcecmuQiIgIHA4H7777Lh9//PEFz0+bNo0hQ4YQEREBwF133cWUKVNYuXIlvXv3BqBTp04XvK5Ro0bMnz8fgLfeeot69erRr1+/IrOUqBsa1LJoSeqGti4NcLGi/KlzcvOq2KIKIl7Ok93QpSoWGzVqhK+vLy+//DJDhw51a5Do6GiXz2VnZ7NhwwZGjx5d8FhYWBgNGzZk7dq1BcXiN9984/IY8+fPJzMzkzvvvBOHw8GVV15JUFBQofuWaOoctSxak1oWLcwHyDE7hPyFzWbDhk0DXES8jCenzilVsejr68vmzZtp0aJFReUpVHp6Ojk5OYSHh5/3eHh4OCkpKcW+/vvvv2fUqFG0a9eOhQsXsmfPHjZu3OiyWCwxtV5ZkIpF61LLolX52HzUsigiLpWqWGzatCnNmzcvcp8tW7bQpk2bcoVyxVZIa15hj/3V5ZdfztGjR90dRsWiJakb2ro0wMWq7D523bMoIi6Vqli87bbbePPNNxk2bJjLfeLi4jhw4EB5c50nMjISX19fMjIyzns8IyOjyO7rskpMTCyYLzIuLq7wexfVDW1N6oa2ME2dY1V2m51cQy2LIt7A4XAULEmcnZ3tkXOWqliMjo5mxowZLFy4kCuvvJLIyEh8fM4fUJ2VleXWgAB+fn7ExsayefPmgscyMzNJTk4+b75Hdynxcn9qvbKgc59HtZJYkLqhrcrH5qOWRREv8edGrGPHjlnvnsURI0YAsGnTpkJHLEPJuoXLYsKECYwdO5ZJkyZRq1YtZs2aRdu2benZs2eFnK9Y6oa2JrUsWpgPoNYrK7L72HXPooi4VKpisWbNmixatMjl84ZhlHkFl6ysLPr06UNqaiqpqan06NGDgQMHMnbsWMC5ekxqaiq9e/cmMDCQsLAwlixZckHLpseoWLSo/JZFvTfWo5ZFq1I3tIgUpVTFYufOnenevXuR+xQ3h6ErQUFBrF69ush9xowZw5gxY8p0fLdTsWhNtvw/HlSUWI8dtSxak1oWRaQopWqWW7ZsWbH7vPrqq2UO41U0wMWi8kdDq1i0HrUsWpVaFkWkKG7vw61bt667D2ldalm0noKWRb031qOWRavy9fFVy6KIuFSqbuhHHnmk2H1OnDhR5jBeRd3Q1mTTaGjrUsuiVdl97OTkaXUdESlcqYrFyZMnF7tPRY2GthwVixaVXyyqlcR6NBraqnx9fFUsiohLpSoWIyIi2LBhw3mP5eXlcejQIdavX8/y5ct58skn3RrQslQsWpO6oS1M3dBW5evjq3sWRcSlUhWLkyZNomHDhhc83rhxYzp06ECvXr14/PHHmTdvntsCWpaPj4pFK1I3tIWpWLQqtSyKSFFKNcBl/PjxRT7fqlUrVq1aVa5AXkMti9akYtHCVCxala+PL2dzz5odQ0Qsyq2joRcvXozdbnfnIa1LxaJFqVi0LhWLVqWWRREpSqm6oa+++upCH8/JyWH//v3s3r272NbHSkPFojVpUm4L88VZLBoUzIcplqBiUUSKUqpi8csvv6R+/foXHsTXl3r16jFq1Cjuuecet4WzNJsN8lSQWI5No6GtK7/XIe9P/xYr8PXx5WyeuqFFpHClKhYjIyPZtWtXRWXxLhrgYlHqhrau/F83uahYtBZ/u7/uWRQRl0p1z+Ibb7xRQTG8kLqhrcl2rghRy6IF5ReL6u60Gj8fP7Jzs82OISIWVapiMS4urtDHV69ezYcffkhmZqZbQnkFHx91Q1uRj4pF6/I7t1WxaDX+dn91Q4uIS6UqFj/88EOaNGly3kCXm266iZ49e3LDDTfQvHlzduzY4faQlqSWRWsqaFlUIW89alm0Kj+7n7qhRcSlUhWLb731Fm3atGHWrFkAOBwOFixYQEJCAkuXLqVr164lWhKwUtAAF4vSABfrUrFoVf52f3KNXPL0R5aIFKJUA1x++uknfvrpJ2rUqAHA66+/TkhICG+//TYhISFcccUVtGvXriJyWo+6oa3J59xH2lBBYj35v27UgmU1/nZ/ALJzswn0DTQ5jYhYTalaFrOzswsKxTNnzvDpp59y4403EhISAkCNGjXIzvb+m6QTExNxOBxF76TR0NakAS4Wln/PoopFq/H3cRaLZ3LOmJxERErK4XCQmJjokXOVqlgMCQkpmDpn3rx5HD9+nMGDBxc8n56eTkBAgHsTmiApKcnlYJ4Calm0JhWLFpZfLHr/H5SVTYCv8/f2mVwViyLeIi4ujqSkJI+cq1Td0Lfddhvdu3enY8eOfPzxx7Rs2ZJevXoB8MMPP/Dwww/zt7/9rUKCWo5aFq3Jlt8NrWLRetSyaFUBdmexqOlzRKQwpSoW77vvPs6cOcPSpUvp1q0b06dPByAvL4+BAwcC8Pzzz7s9pCWpZdGa8lsWtXSZBfmf26pYtJqClkV1Q4tIIUpVLPr4+DBlyhSmTJlyweNVbmUXHx/IVeuV5WiAi4WpG9qq8lsW1Q0tIoUp1T2LruzatYsff/yRvKrU0qZuaGtSN7SF5bcsqli0mvwR0KdzTpucRESsqFTF4hdffMHVV1/NrbfeWvDYvffeS7Nmzbj88stp27YtBw8edHtIS1I3tDXlF4vqhrYgFYtWFeQXBEDW2SyTk4iIFZWqWHzllVfIysoqKBbXr1/PM888Q8eOHZk5cyZhYWE88sgjFRLUctQNbU0+57o6tXSZBeXPlKCuTqvJb1nMylGxKCIXKtU9i99++y1ff/010dHRALz88ssEBATw4YcfEhUVxcCBA+nSpUuFBLUctSxak+5ZtDC1LFpVkK+zZVHd0CJSmFK1LGZlZRUUirm5uSxbtoz+/fsTFRUFQFRUFKdPV5FfNna7WhatyHauZVHFogWpZdGq1A0tIkUpVbEYFBTEoUOHAFi8eDGHDx8+b1LuEydO4OtbqsZK76VuaGvKb1lUN7QF5bcsqli0mvyWRXVDi0hhSlXZDRgwgGuvvZarr76aN998k7p165KQkADA4cOHmTRpEm3atKmQoJajbmhr0j2LFpa/5rCKRaup5lcNgJPZJ01OIiJWVKpicfLkyaSlpfHqq68SGRnJa6+9ht1uJzc3l8jISGw2G2+++WZFZbUWdUNb07k1bsnTfXHWE3RuW0VuVfEiwf7BAJw8q2JRRC5UqmKxWrVqhRaDdru9Us2xmJiYSEJCQtHrQ6tYtCabWhatK79lUV2dVhPsd65YVMuiiNdwOBwsXbrUI+cq86TceXl5pKenuzOLZSQlJRVdKIKKRauyq2XRutSyaFVqWRTxPnFxcSQlJXnkXKUuFjdv3ky/fv0ICQmhadOmAHz55Zf8/e9/Z9OmTW4PaFkqFq2poGVRxaL15Lcsqli0GrUsikhRSlUsbtq0iS5durBq1SpiYmLw8XG+vGXLljRs2JCrrrqKjRs3VkhQy1GxaE26Z9HC8lsW1Q1tNfktiyfOnjA5iYhYUamKxYceeoh+/fpx4MABfvrpJ4KCnL/8IyMjmTFjBs8//zwPP/xwhQS1nPwpgirRvZqVQn43dK5G3FpPtXPbU6amkAsF+wVjw8bxM8fNjiIiFlSqYnH9+vW89NJLhIaGFvr8P/7xD7Zs2eKWYJaXXyzmaPJnS/E5N/GzWhYtSMWiVdlsNkIDQjl25pjZUUTEgkpVLObl5VG9enWXzxuGwcmTVeSeF7vduVVXtLXYz90Xl6eWResJBGxAFfkd4WVULIqIK6UqFhs2bMgHH3zg8vlXXnmFxo0blzuUV1DLojXltyyqG9qCbDhbF9WyaEUqFkXElVLNszhu3Dhuvvlmli9fTu/evcnOzubTTz9l3759LF68mE8//ZR33nmnorJai4pFa7Lnd0OrWLSmYNSyaE2hAaHsPrrb7BgiYkGlKhZvu+029uzZw5QpU3jzzTcxDIPrrrsOwzCw2+089thjDBo0qKKyekyJJuVWsWhNNh+w+UKupmexpmqoWLSmGoE1yDyTaXYMESkhT07KXapiEeDBBx9kyJAhLFq0iD/++APDMLj44osZMGAADRs2rIiMHpeUlORyEE8BFYvWZQ9SsWhZIYBG3FpRzcCanDp7iuzcbPzzZxUQEcuKi4ujc+fOzJ49u8LPVapi8ZFHHgEgPj6ef//73xUSyGv4nZv8+ayWlbMceyDkai4/awoBDpkdQgpRM7AmAEeyjhBVPcrkNCJiJaUa4DJ58mRWr15dqdaBLrP8YlEti9ajlkULU8uiVYUHhQOQkZVhchIRsZpStSyGh4ezYsUK7PnTxlRl+d3Qalm0Ht8gtSxaVgjOexbzKMfS9FIBagada1k8fcTkJCJiNaX6bd2iRYti51F88MEHyxXIa6gb2rrsKhatK+TcVsvKWY1aFkXElVIVi08++SSjRo0iLS3N5T6vvfZauUN5BRWL1mUPglzN5WdN+QPHNOrWavKLxcOnDpucRESsplTd0A899BB79uyhQYMGNGvWjMjISHx8zq83MzK8/6/SEk2d439utKCKRevxDYYcTc9iTTXPbY8C9U3MIX91UfBFABw6pQFIIt7AslPnfPnll9SvX586depw6tQpkpOTL9gntxIsf1eiqXPyWxaztQax5eQXi4YBNpvZaeQ8Yee2R03MIIXJLxYPnjxochIRKQnLTp0TGRnJrl27ityndu3a5QrkNdSyaF32YDByIS/7fyu6iEXktyxqEIXVqFgUEVdKdc/iU089Vew+b7zxRlmzeJf8YlEti9bjG+zcqivagsLObVUsWk2wXzBBvkEqFkXkAiUqFvfu3cvChQupXr06Bw4cKHLfIu/zq0zUDW1dKhYtTC2LVmWz2YgMjiTtpOsBjCJSNRXbDT1u3Dhmz55dMBG33W5n0qRJTJ06tcLDWVp+y+KZM+bmkAv5VnduczQ9i/WEn9t6/0C4yii6ejT7ju0zO4aIWEyRLYtz5sxh5syZ1KlTh379+tG3b18iIiJISkrinXfe8VRGj0tMTMThcBS9U8C5e+FULFqP37nBSWe1Uoj1RJzbppuaQgpXN6QuqSdSycnTylQiVudwOEhMTPTIuYpsWXzxxRe54447mDNnDr7nVizJzs7m9ttv54UXXuCWW27xSEhPK9FoaBWL1uV3buLnnGPm5pBC1Dq3VbFoRXVD6pJn5JF2Io26oXXNjiMiRbDMaOjt27ezdu3agkIRwN/fn6effpq2bdtWeDhLU7FoXQUtiyoWrccX532LmsvPiuqF1gNg//H9KhZFpECR3dAhISFUr179gsdr1659wWTc+ebNm+eeZFanYtG6fM+1LKob2qIiUMuiNeUXiPuP7Tc5iYhYSZHFot1uL/VzEydOLF8ibxEY6NyePm1uDrmQWhYtLhK1LFpT3RBnsahBLiLyZ0V2Q586dYq3334bwzAueC4rK6vQ57Kystyb0AQlWu5PxaJ1+ddwbrOPmhpDXIkCvgFyAdd/kIrnNQxrCEBy5oWrc4mItVhmub9jx44xbNiwQp8zDOOC5wzDwFYJllcr0QAXFYvW5X9uLr9szeVnTbWBPODguX+LVdQPrY+PzYedR3aaHUVEimGZAS6hoaHMmDGjxAczDIN77rmn3KG8QlCQc1sJWlIrnfxi8ayKRWvKLxBTULFoLX52PxrUaMCuo0Uv6yoiVUuRxWJQUBBDhw4t1QHvv//+cgWqKFu3buX//u//6N27Nw8++GD5D5hfLKpl0Xp8Q8BmV8uiZf25WBSraRzWmB9Sfqg0PUUiUn5FDnBJTi79fStleY0nbN26le7du5do3xJNyq2WReuy2cA/TPcsWpaKRStrHNaYY2eOkZGlVXZErMyTk3IXWSz65y9pVwpleU2+9PR0Bg8eTOPGjQt9fs6cObRv354uXboQHx/P3r17S3zswYMHu5zu56+SkpKKX+M6f+ocFYvW5FcTsvU/O2vKLxaLXmdezNGkZhMAdhzZYXISESlKXFwcSUlJHjlXyaonD9i6dSsDBw6kVq1ahY6+XrRoEVOnTmXFihWsW7eOTp060b9//4I1qz3Ox8fZunjqlDnnl6IF1IIzh81OIYWqf267x9QUUrjmEc0B2Ja+zeQkImIVlikWIyIicDgcxMbGFvr8tGnTGDJkCBERzrVl77rrLjZt2sTKlSsL9unUqdMFX4MHDy51lhJ1QwMEB8PJk6U+vnhAQCScOQSF/OEhZqsFVAOsectKVdcyoiUAvxz6xeQkIlIUy6wN7UnR0dEun8vOzmbDhg2MHj264LGwsDAaNmzI2rVr6d27NwDffPONW7KUaOocgGrVVCxaVWAk5J2FnOP/m6RbLMIGNEQti9YUUysGu83Or+m/mh1FRIrgyalzLNOyWJT09HRycnIIDw8/7/Hw8HBSUkp2k/wHH3zAl19+yZo1a/jwww/dE0wti9YVEOncntZKIdaUXyyq5ddq/O3+NA1vqmJRRApYpmWxJAqbxqGkUzvceOON3Hjjje4NFBwMBw+695jiHgHO2xU4kw4hTc3NIoVoCJzGOTF3lMlZ5K8uibyEpduWkp2bjb+97IMWRaRy8IpiMTIyEl9fXzIyzh/dmpGRUWT3dVklJiYWjOqOi4tzPTJaLYvWFXiRc3taxbw1NTq33YWKReu5JOISFv+2mG3p22gT1cbsOCLyJw6Ho2BcRXZ2tkfO6RXFop+fH7GxsWzevLngsczMTJKTk+natavbz1fiexZDQuD4cbefX9wg8NwfEac1l581xZzb/gF0MjOIFKJddDsAfkz9UcWiiMX8uRHr2LFjumfxzyZMmMC8efM4fNg5HcqsWbNo27YtPXv2NC9USAhkZzu/xFqCzs3ll6Vi0Zryi8XfTU0hhftbnb8B8MOBH0xOIiJWYJmWxaysLPr06UNqaiqpqan06NGDgQMHMnbsWAAGDBhAamoqvXv3JjAwkLCwMJYsWVLiibYrREiIc3v8ONSqZV4OuZCKRYtrdm6rYtGKGoc1pkZADTambjQ7iohYgGWKxaCgIFavXl3kPmPGjGHMmDGeCVQSKhatK6AW+PhBllYJsaZqOCfn3m52ECmEzWbjstqX8d3+78gz8vCxeU0nlIhUAP0GKI8/F4tiLTYf532Lalm0sBicLYuaPseKLqt9GSfPnuT3w2r9FanqVCyWR/4gmGPHzM0hhQuqA1n7zU4hLjUHTgB6j6zo8jqXA/Dtvm9NTiIiZlOxWB5hYc5tZqapMcSF4AbOlsXcM2YnkUK1PbfdYmoKKdwVDa4A4Os9X5ucRETMpmKxPGrUcG6PHjU1hrgQ3NC5PbXP3BziQv6ULJuL3EvMUS+0Ho3CGvHVnq/MjiIiJlOxWB75LYsqFq2pWgPn9pTWILam1ue2KhatqluDbmw7vI2DJzW5vUhVpmKxPFQsWlt+y+LJZHNziAs1cK7komLRqro16AaoK1qkqlOxWB4qFq0t+FzL4km1LFpXW+A3QPeVWtGVDa8E4MvkL01OIiJmUrFYHvnF4l/WrBaLCG7s3J7YaW4OKUI7IAcNcrGmi2tdTHT1aD7f+bnZUUTERCoWyyMsDHx84NwShGIx/jUgIAKOa+Jn6+p4bqvpWazIZrPRp1kffj70M3sy1UIvUlWpWCwPHx+oWVPFopWFxKhYtLQO57YqFq2qT7M+ACzfvtzkJCJiFhWL5VWrlopFKwuJgTOHIFtzYVpTBNAU+MbsIOJC76a9sdvsfPLHJ2ZHERGTqFgsLxWL1hYS49yqddHCOuJcI1r3/lpRWGAYXep3YeXOlZzJ0UAkkapIxWJ5RUQ4i0VD69takopFL9Dp3FZd0VYVHxPPybMnWZO8xuwoImICFYvlFRkJOTla8s+qQls6t8d+NTeHFKHrua2mZ7Gqfs37AbDglwUmJxERM6hYLK+LLnJu09LMzSGFC20ONjsc1dQs1nUpUBNYZXYQceGSyEtoc1EbFv66kOzcbLPjiIiHqVgsr6go51bFojXZAyDkYji61ewk4pId6AF8D6iF3qoGtx5MRlaG5lwUqYJULBYiMTERh8NRsp1VLFpfWGs4sQNyTpmdRFy6GshDXdHWNajVIADe+/k9k5OICIDD4SAxMdEj51KxWIikpCTi4uJKtnN+sXjwYMUFkvKp0RowdN+ipV19bquuaKtqGt6U2DqxfPjrh5zOOW12HJEqLy4ujqSkJI+cS8VieUVHO7dqWbSusNbO7ZHN5uaQIrQEogB1cVrZ4NaDOZ59nGW/LzM7ioh4kIrF8qpd27k9cMDcHOJazfbO7ZGN5uaQItiAa4GtwG5zo4hLN7e5GV8fX1784UWzo4iIB6lYLK+wMAgKgn37zE4irgQ3Av9wOPy92UmkSP3PbZeYmkJci64ezd9b/J3Pd37O9sOau1SkqlCxWF42G9StC/v3m51EXLHZIPxyOPoT5J01O4241BsIQMWitY2+fDSAWhdFqhAVi+6gYtH6asVC7mnI/NnsJOJSdaAXsAY4am4UcemqRldxca2Lef2n1zXQRaSKULHoDnXrwpEjkJVldhJxJfxy51Zd0RbXD8gBlpsdRFyw2WyM+tsoMrIytKKLSBWhYtEd6tZ1bnXfonXVyi8Wtf6wtSWc2y4yNYUUbWi7oQT6BjLj2xkYhmF2HBGpYCoW3aFhQ+d2zx5zc4hr1epBtQZw6Guzk0iRagPdgaVoNRfrCg8KZ3i74Xx/4HtW7lppdhwRqWAqFt2hUSPndvduM1NIcS66Eo79Bqc1gbq1DQHOAAvNDiJFmNh1Inabnce+eszsKCJSwVQsuoOKRe9wUTfnVq2LFjcQ8AfmmR1EitAorBG3tL2F1btXs27vOrPjiEgFUrHoDvnd0CoWrS3ySuf24Ffm5pBihOG8d3E1sNfUJFK0+6+4Hxs2kr7yzJJjImIOFYuFSExMxOFwlPwF1atDRISKRasLbQ4BkXBIxaL1DQEM4F2zg0gRWkS04IZLbuDj7R/zU+pPZscRqVIcDgeJiYkeOZfN0FC2AseOHaNGjRpkZmYSGhpauhfHxjqX/NN8i9b21Q2wbzHckA7+Nc1OIy6dAeoAkcCvOJcDFCv6MeVHLnvpMq6LuY5lN2vNaBFPKlfdUgpqWXSXZs2cxeKpU2YnkaJEXwNGHqRqBKe1BQDDgW3AKpOzSFHa127PoFaD+Hj7x6zapfdKpDJSseguMTHO7R9/mJtDilY7zrlN+dTcHFICo3G2KM42O4gU4/Gej+Nv92f8Z+PJM/LMjiMibqZi0V3yi8Xt283NIUWr3sh572KKA3QHhsU1Ba4FPkIDXaytcc3G3N3xbn5K/Yl5mzWKXaSyUbHoLioWvUd0HJzaB5m/mJ1EijUGyANeMjuIFCOxWyK1gmqRuDKRU2d1O45IZaJi0V2aNXNuVSxaX51rnVt1RXuBPkAj4GWcg17EqsICw3i4+8PsP76fZ9c/a3YcEXEjFYvuUqsWhIfDtm1mJ5HiXNQd7IGwXyM3rc8O/B+Qhibptr5Rl4+iea3mPPbVY/yRofu3RSoLFYvuYrPBJZfAL7/oXjir860Gta+FQ1/C6UNmp5Fi/QvnRN1PADnmRpEi+dn9eLHvi5zOOc2oZaPQzGwilYOKxUKUelLufJdcAkeOQFqa+0OJe9Uf4JxCZ99HZieRYoUCdwF/AB+YnEWK071Rd/552T9ZuWslb2560+w4IpWWJuU2Sbknt5w5E+6+Gz7/HHr2dH9AcZ/sI7DwIojuDVd9YnYaKdZhoCHQGNiE/s61tqOnj9JydkvO5Jzh1//7lajqUWZHEqmUNCm3N7rkEuf2F42ytTz/mhB1NaR9DtmZZqeRYtXCOe/iVmCpyVmkOGGBYcyOn82R00e4+9O7zY4jIuWkYtGdWrVybn/+2dwcUjL1B0DeWQ108Rr/xrmyy6M4140WKxvQcgDXt7ie935+j49+0+0eIt5MxaI7RUc7R0Vv3mx2EimJ+teDzQ7J75qdREqkNs7BLt8Di0zOIiXxfPzz1AysyR1L7+DA8QNmxxGRMlKx6E42G7Rr5ywWc3PNTiPFCbzIuVZ0yqdw+qDZaaREHgSqA/cDZ03OIsWpE1KHV/u9SvqpdG798FZy8/R7UcQbqVh0t3bt4ORJ2LHD7CRSEo1vBSMXkuebnURK5CJgErAdeMXkLFIS17e8nlF/G8WqXat4et3TZscRkTJQsViIMk+dA85iEeDHH92WRypQvf7gGwK73jY7iZTYPTi7pCcDx82NIiXybNyztIpsxYOrHuSbfd+YHUekUvDk1DkqFguRlJREXFxc2V6cXyz+9JO74khF8q0GDW6AjO8h8zez00iJBOMsFA8Cz5gbRUokyC+I+QPn42f34+aFN5N5WjMQiJRXXFwcSUlJHjmXikV3a94cAgLUsuhNGt3q3O56y9wcUgq3Ay2AacB+k7NISbS+qDXPXvMsu47u4o6ld2h1FxEvomLR3fz84NJL4fvvteyft4jqAcGNYedrkJttdhopEV+crYongfEmZ5GSGnX5KG685EYW/LKAJ75+wuw4IlJCKhYrQocOcPgw7NpldhIpCZsPNPsXnE6D/ZoPznvEA38H3gNWmBtFSsRms/Fa/9doG9WWB1Y9wLLfNcepiDdQsVgROnZ0br/7ztwcUnJNhoOPH2yfa3YSKZXpQDXg/4Az5kaREqnuX53FgxYTHhTOzQtv5tdDv5odSUSKoWKxEOUaDQ3OlkVQsehNgqKg3gBIWwXHtpmdRkqsIfAfnFPpaFoWb9G4ZmM+uPEDTp09Rf/5/Tl6+qjZkUS8jidHQ9sM3WVcwG0LcuflOVdyadUKvv7afQGlYqWthpVXQfN74G/Pmp1GSiwbaAfsAn4GmpiaRkpu1rezuOvTu7i22bUs+8cy7D52syOJeBW31S3FUMtiRfDxgdhY+OEHOKtVJrzGRd0htAXsfB1yTpqdRkrMH5gDnAZGoXWjvcfYDmO5vd3tfPrHp9zjuEcjpEUsSsViRenSBU6f1hQ63sRmg4vvhLNHYecbZqeRUumBczqdFWhlF+9hs9mYc90cujfszqzvZmmFFxGLUrFYUbp2dW7VDe1dmgwF/3D47TnQOrZe5lmgHvBvINnkLFJSAb4BLB68mDYXtWHS55N4e5NWUxKxGhWLhSj3ABeATp2c3dFr17onlHiGbzDEjIITO2D/ErPTSKnUAF4FTuBsZcwzN46UWFhgGMtvWU790PrcvuR2PtvxmdmRRCxPA1xM4vYbRf/2N9i3D1JTnV2c4h2yUuCjRlCrA/T+yuw0UmojgZdw3sc42uQsUhq/HPqFK167grN5Z1kzbA2X1b7M7EgilqYBLpVB165w8CD88YfZSaQ0gmpDo5vh0NeQrumPvM80nFPq3AvsNDmLlMYlkZew5B9LyMnLoc87fdh5RO+fiBVUqWJx0aJF3HPPPYwbN44lSzzQxXjFFc7tl19W/LnEvVr827n99Ulzc0gZhODsjj4J3ArkmBtHSuWKBlfw3wH/Jf1UOr3e6sXezL1mRxKp8qpMsXj8+HEmT57MM888wzPPPMMDDzzAyZOFT4/ilnsWAbp3d25Xry7/scSzwtpAnb6wdxEc/dnsNFJqPYF7gHXAIyZnkdK6vuX1vJzwMruO7qLnWz1JOZ5idiQRy/HkPYteVSymp6czePBgGjduXOjzc+bMoX379nTp0oX4+Hj27v3fX6TffPMNMTEx+Pj4YLfbadKkCRs2bCj0OElJScTFxZU/cFQUXHIJfPEF6NZQ79P6Ief258fMzSFl9DhwGfAosNrcKFJqt7e/nTnxc9iesZ2eb/Xk4MmDZkcSsZS4uDiSkpI8ci6vKRa3bt3KwIEDqVWrVqETty5atIipU6eyYsUK1q1bR6dOnejfvz95ec4Rkenp6YSEhBTsHxISwqFDhyo++FVXwf79um/RG0V0gOhrYM97cOx3s9NIqQUA7+JcO/oWIN3cOFJqo2NH81zcc/ya/iu93urF4VOHzY4kUiV5TbEYERGBw+EgNja20OenTZvGkCFDiIiIAOCuu+5i06ZNrFy5suD1x48fL9j/+PHjREZGFnost3VDg7NYBGfronif1g+BkQe/PG52EimTi4HZwAGc0+mohd/bjOs0jid6PsGWg1u4Zt41Wkda5Bx1QxciOjqagICAQp/Lzs5mw4YNtG3btuCxsLAwGjZsyNpz8xx26tSJ7du3k5eXR25uLjt27HBZeLqtGxr+d9+iikXvdNEVzmUAd70NJ3aZnUbK5DacLYtLgedNziJlMemKSUzpMYWNKRuJmxdH5ulMsyOJmE7d0KWUnp5OTk4O4eHh5z0eHh5OSorzxuiQkBAmT57MuHHjGDduHElJSQQHB1d8uIgIaNsWVq2CPE0S7JVa/weMXNj6qNlJpExsOOdcbAqMB741N46UyUNXPsT9V9zPd/u/o/fbvcnIyjA7kkiVUSmKxXy2Qia+/vNjAwYMYObMmcyaNYt+/fp5Lljv3s75Frds8dw5xX2iroKLesCuN3XvotcKBRYAdmAg4IH7lcWtbDYbj139GA9d+RAbDmzg6jev5tBJvY8inuBrdgB3iIyMxNfXl4yM8//SzMjIIDo6utTHS0xMxN/fH3A285a7S/qaa+CZZ+Czz+DSS8t3LPE8mw0ufQxWdIUtD0PXd81OJGXSDngBGA7cDHyKs3gUb2Gz2XjkqkcI9A3kgVUP0OPNHnx+6+fUDqltdjQRj3E4HAXjKrKzsz1yzkpRLPr5+REbG8vmzZsLHsvMzCQ5OZmuXbuW+nhJSUnuXTanWzcICIAVK+Dee913XPGcyC5QJx6S58Ml90PNtsW/RixoGLAe53KAD+OcVke8TWK3RIJ8g/j3Z/+m+xvdWXnbSurXqG92LBGP+HMj1rFjx5g9e3aFn7PSdENPmDCBefPmcfiwc2qFWbNm0bZtW3r27GlyMiAoyFkwfvklZGWZnUbKqu25wmLLf8zNIeU0A7gceAznoBfxRvd0vqdgHsYr37iSXUc0AE2konhNsZiVlUWPHj144oknSE1NpUePHjz//P9GNg4YMIAHH3yQ3r1706VLF9atW8eSJUvw8bHIj3jNNXDmDHz1ldlJpKzC20P9gbDvI0jXIAnvFYjz/sVwnMsBag5UbzU6djSv9nuV5KPJXPnGlWxL32Z2JJFKyWYUNsN1FXXs2DFq1KhBZmame7uhATZtgnbt4J574Nln3Xts8ZzMX+GT1hDZDXp+4byfUbzUZ0AfoAXwDc41pcUb/XfLf7ntw9uoGVSTT2/5lL/V+ZvZkUQ8okLrlj+xSLNbFdC2LdSpA8uXm51EyqNGS2hyOxxcAwc+MTuNlMs1wBPALzhbGDW1lbe6uc3NLB68mBPZJ+jxZg++2KV5bUXcScWip9hs0KcP/PYb7NK9NV6tzRSwB8FP90FertlppFwm4Jyw+yNgislZpDz6XtyXz4Z8ho/Nh2vfuZYPf/3Q7EgilYaKRU+Kj3du1bro3arVgRb3QOZW2PWW2WmkXGzAy8DfgEeAhebGkXLp1rAba4atoWZgTQZ+MJDXfnzN7EgilYKKRU/q1Qt8fVUsVgYtJ0JALdj8EOScMjuNlEsQsBiIwrk04OYi9xZraxfdjq9v/5oGNRowYskInl77tNmRRLyeikVPCg2Frl2dS/+dPm12GikP/xrQ6iHI2g/bZpidRsqtHs5WxbNAf7TCi3drFt6MtbevpfVFrZn4+UQmrphInqF7UkXKSsWip113HZw6BWvWmJ1EyitmFFRvAj8/DqcPmp1Gyq0rzhVedgMDgDOmppHyqRNShy+HfUmX+l14et3TDF08lOxcz6x2IVLZqFj0tL59ndtly8zNIeVnD4B2T0LOcdgy2ew04hYjgH8DXwOjAc0s5s1qBtXk81s/p1/zfszbPI+EdxM4fua42bFEvI6KRU9r0QKaNIGlS0FTXHq/+jdAZFf44yXI/MXsNOIWTwHxwOvAMyZnkfIK8gti4U0L+ddl/+KzHZ9x1ZtXkXYizexYIl5FxaKn2WzO1sXkZPj5Z7PTSHnZbND+GTBy4Uet+1052IF3gVbARLQkoPfz9fFlbt+5TOkxhR9SfqDLa134I0Mr94iUlIpFM6grunKJ6AgNBzsn6U793Ow04hahOIvEWsDNaIS097PZbPyn+394qe9L7D66my6vduH7A9+bHUvEK6hYNMOVV0L16s6uaKkcLn0cfAJg43hN1F1pNAY+xDnQJQFQ12Vl8M+//ZMPB33I8ezj9HijB8u3ayozkeKoWDRDQADExcE338AhTdFRKVRvBC3GwdHNsPN1s9OI21yBc9LuPcDfgSxT04h79Gvej5W3rSTAN4CEdxN446c3zI4kYmkqFs2SkAB5efCJ1heuNFolQuBFsPlBOKsRl5XHUOB+4BvgdjRCunLoUr8La29fS73Qegz/aDiPfvkohgYdihRKxaJZ4uPBxweWLDE7ibiLXyi0nQqn0+CXJ8xOI271KM65F+ejNaQrjxYRLVg/Yj3totvx0BcPMWrZKHLycsyOJWI5KhbNEhkJnTuDw6HVXCqTJiMgrA38+gycTDY7jbiND/AWzjWkpwD/NTeOuE3tkNqsGbaGXk168dLGlxjw3gBOndUSniJ/pmLRTP36wcmTsHq12UnEXXzszql08s7AT/ebnUbcKhhYAtTF2R293tw44jahAaF8fPPHDGk7hKW/L+XqN6/m0EndTy6ST8ViIRITE3E4HBV/ooQE51Zd0ZVL7d5Q5zpIfhfSvzE7jbhVHZwFox3ngBe1HlcW/nZ/3vr7W9zX9T6+3f8tXV/ryq4ju8yOJeKSw+EgMTHRI+eyGbqjt8CxY8eoUaMGmZmZhIaGVvwJDQMuvtjZDb1nj3OCZ6kcMn+DT1pDrQ7Qe63e20rnQ5z3MLYB1gIh5sYRt3r+u+e5a/ldRFWP4pObP6F97fZmRxIplKfqFrUsmslmc3ZF79sHP/1kdhpxpxotoNlISF8PexeYnUbc7nogCdgCDAE0t2ZlMrbDWN6/8X0ysjLo/kZ3Vu5caXYkEVOpWDRbv37OrbqiK582k50jpH+cBLlnzE4jbncfzkJxCeCZriDxnIGXDMQxxIGPzYc+7/Rh/tb5ZkcSMY2KRbN17Qo1a6pYrIwCI6HVA3ByF/w+y+w04nY2nBN2dwaeAt4wNY24X49GPfhq+FdEBkfyj4X/YPo3082OJGIKFYtm8/WF666DjRud3dFSuTS/C4IbwtZH4XS62WnE7QJx3r/YAPgX8JW5ccTt2kS1Yf2I9bSIaME9jnu497N7yTPyzI4l4lEqFq0gf1S01oqufOyB0O5JOJsJW6eanUYqRBSwFPAHbkAjpCufBjUa8PXwr+lcrzPT1k/j9o9u1+TdUqWoWLSCuDjw81OxWFk1uAnCY+GPF+D4DrPTSIVoC8wDDuGcUuekqWnE/WpVq8Xnt33OdTHX8eamN7nh/RvIOqu1wqVqULFoBTVqQPfusGoVnDhhdhpxN5sN2j8NeWdh0wNmp5EK83ecq7v8BAxHa0hXPtX8qvHhoA8Z0nYIS7Ytoc87fcg8nWl2LJEKp2LRKhIS4MwZWLHC7CRSEaK6Q90E2PMepH9ndhqpMA/i7Ir+AHjc5CxSEfzsfrz59ze5q8NdrEleQ483e5B2Is3sWCIVSsWiVei+xcqv3RNg84GfJjonZJdKyAfnqOi2OAtH/fdcGfnYfJh+7XSmXjWVn1J/4orXr2D30d1mxxKpMCoWraJxY2jdGpYtg1xN8Fsp1bgEmoyAg2tg/zKz00iFqQ4sBsKBW4BfTE0jFcNms/HglQ8yJ34OOzJ20OXVLvx88GezY4lUCBWLVpKQAIcOwYYNZieRitJmMtiDYFMiaPqNSqwxsAA4hXO1l2PmxpEKMzp2NPMHzif9VDrd3+jOxpSNZkcScTsVi4VITEzE4XB4/sT5XdHL1OpUaVWrA83vhsytsPtds9NIheoBPA38DgxDA14qr5ta3cTiwYs5kX2Cq9+8mvV715sdSaoAh8NBYqJnVo+yGYZunsrnqQW5XcrNhehoqFMHNm3y/PnFM7KPwEeNIaAWXPcr2P3NTiQVxgD+AbwHPAFMMjeOVKiVO1fSb34/bNhYdvMyejTqYXYkqeQ8VbeoZdFK7HaIj4fNm2HPHrPTSEXxrwmXTIQTO2Hnq2ankQplA14BWuFcP3qluXGkQvVs0pPPhnyG3cdOn3f68Okfn5odScQtVCxaTd++zu3HH5ubQypW87shMMq5qkvOKbPTSIWqDiw6tx0M6A/Byqxrg66svG0l1fyq0e/dfiz+bbHZkUTKTcWi1cTFOdeL1hQ6lZtvMLR6ELJS4PfnzU4jFe5i4C0gHRgInDE3jlSoy+tczuqhq6kZVJOB7w/kva3vmR1JpFxULFpNaChceSV88QWcUotTpdbsn1CtAfz6FJw9bnYaqXD9gfuBDejexcqvTVQbvhr+FVHVo7hl0S28//P7ZkcSKTMVi1Z03XVw+rSzYJTKyx4ArR+AM4fh99lmpxGPeAToBszAORejVGYX17qY1UNXE1U9ipsX3swHP39gdiSRMlGxaEXXXefc6r7Fyq/xMAhuCL8+rdbFKsEX+C9QC+f60btNTSMVL6ZWDF8M/YKLgi/iHwv/wYJfFpgdSaTUVCxa0cUXQ9Om8MknWhausrP7O+9dzM6A32eZnUY8oh7wNnAU54CXbFPTSMW7uNbFBQXj4AWDWfjLQrMjiZSKisVCmDYpdz6bzTmFTnIy/KKlwiq9JkMhuBH8Og3OaqWPqqEPzvsWv8U5pY5Uds0jmrNq6CoigyMZvHAwH/76odmRxMtpUm6TmD4p9585HHDttfDkkzBxorlZpOLteBW+vQPaPuq8j1GqgLM4V3lZBywDrjM1jXjGb+m/0eONHhzOOsyimxaR0DzB7EjixTQpd1XXvTtUqwbLl5udRDyh8W3O1sVtz0HOSbPTiEf4AfOBMJz3L6aZmkY8o0VEC74Y+gU1A2ty4wc3snKnJmoX61OxaFWBgdCzJ3z9NWRmmp1GKpqPn3NVlzOH4Y+XzE4jHlMfeAk4hLNgVEdPVdAysiWf3foZQX5B9Jvfj3V715kdSaRIKhatrE8fyMmBzz83O4l4QpPhEFTbee9iriZtrjpuxFkoLgc0QXtV0S66HZ/c/Ak2bMS/E8+PKT+aHUnEJRWLVtanj3P7ySfm5hDPsAdCi/GQdQB2vmF2GvGoGUBT4F5gi8lZxFM61+/Mkn8s4XTOaa6Zdw2/HvrV7EgihVKxaGWNGsEll2gKnaqk2UjwD4dfnoS8HLPTiMeEAO8AOcDNwGlz44jHXN34ahbctICjp4/S6+1e7Dyy0+xIIhdQsVgI06fO+bP4eEhNhR/VRVEl+FWH5uPg5C5Inm92GvGojsBkYCvOZQGlquh7cV/mXT+P1BOp9H67N6knUs2OJF5AU+eYxFJT5+Rbtco50OXRR+EBTalSJWQfgcX1oXoT6LPJOe+mVBG5wJU4p9P5AufUOlJVvPzDy/xr2b+4NOpS1gxbQ43AGmZHEovT1DnidMUVUL267lusSvxrQtN/wdEtkPKp2WnEo+zAm0A1YBigSdqrkn/+7Z88etWjbErbRP/5/Tmdo9sRxBpULFqdvz/07g3ffAMZGWanEU9pcQ/YfJ33LkoV0wx4GkgG/m1yFvG0xG6J3NnhTtYkr+GWRbeQm5drdiQRFYteIT4e8vLgs8/MTiKeElwfGt0MB9dA+rdmpxGPGw30Bl4FlpqcRTzJZrMx/drpDG49mEW/LmLMx2PQ3WJiNhWL3kBT6FRNLc8t8/jrU+bmEBPYgNeAGsA/gXRz44hH+dh8ePPvb9K7SW9e2vgS//niP2ZHkipOxWIhLDUaGqBuXbj0UufSf7nqkqgywlpBnb6w90M49rvZacTj6uGcpDsN+D+Ts4in+dv9WXjTQi6vczmPfvUoL2x4wexIYjEaDW0SS46GzpeYCI8/DuvXQ6dOZqcRTzn4JXzeHWJGQ+wcs9OIxxnAAGAx8AEw0NQ04nmHTh6iy2td2HlkJ4tuWkT/Fv3NjiQWotHQcr6+fZ3bjz82N4d4VmQ3CI+Fna/D6UNmpxGPswEvAOHAGJxrSEtVEhkcyae3fEqtoFoMXjiY9XvXmx1JqiAVi96iY0eoVQuWLTM7iXiSzQYtJ0DuadiubqiqKRpnd/Qh1B1dNTUNb8rHN3+Mj82Hvu/2ZVv6NrMjSRWjYtFb2O1w7bXw00+wf7/ZacST6g+A4Ibw+/OQk2V2GjHFYJzd0R+c+5KqJrZuLB/c+AGZpzO59p1rtcqLeJSKxUJYboBLvuuuc241Krpq8fGF5vfAmUOw6y2z04gpbMAcoBbO7uiD5sYRU8THxPNSwkvsPrqb+HfiOX7muNmRxEQa4GISSw9wAThyBCIjnfMuLllidhrxpLMnnEsABl4EfX8Fm/7Oq5rew9nKeCPwvslZxCyPrHmEh1c/TFzTOJb+Yyl+dj+zI4lJNMBFLlSzJnTrBp9/DqdOmZ1GPMmvOsSMguO/w37dt1p13QTcgLqjq7aHrnyIO9rfgWOHg5HLRmrSbqlwVapY3Lp1K927d+fRRx81O0rZ9esHWVmwcqXZScTTLr4TfPzgt2fMTiKmsQGzcXZH/x8aHV012Ww2Xuj7An2a9eH1n15nypopZkeSSq5KFovFsew9iwAJCc7tUi0BVuVUqwONbnHOvZj+ndlpxDRR/G909J0mZxGz+Pr48v6N73NZ7cuYsmYKr2581exI4mGevGfRq4rF9PR0Bg8eTOPGjQt9fs6cObRv354uXboQHx/P3r17z3t+8ODB+PgU/yMnJSURFxfnlsxu16wZtGzpLBbz8sxOI57WYrxzq9bFKm4QcD3OexgXmpxFzFLdvzof3/wxjcIaMXLZSD7941OzI4kHxcXFkZSU5JFzeU2xuHXrVgYOHEitWrUKvT9j0aJFTJ06lRUrVrBu3To6depE//79yauMBVW/fpCaChs2mJ1EPC2sNdS+FvYugBO7zE4jpvnzZN2j0drRVVd09Wg+veVTagTWYOD7A/nhwA9mR5JKyGuKxYiICBwOB7GxsYU+P23aNIYMGUJERAQAd911F5s2bWJlGe7ts3Q3NED/c8s9ffSRuTnEHC3Hg5EHv003O4mY6s/d0WNNziJmah7RnCWDl5CTl0P8f+PZeWSn2ZHEA9QNXYjo6GgCAgIKfS47O5sNGzbQtm3bgsfCwsJo2LAha9euLfW5LN0NDc7VXGrXhoULQaPgqp6onlCzHex4Bc5kmJ1GTDWY/3VHLzA5i5ipa4Ou/PeG/3Lo5CGunXct6afU2lzZqRu6lNLT08nJySE8PPy8x8PDw0lJSSn4/oMPPuDLL79kzZo1fPjhh56O6T4+PvD3v8Pvv8Ovv5qdRjzNZoOW90LuKS0BWOXld0fnT9at0dFV2YCWA5jZZybbM7aT8G4Cp85qijVxj0pRLOaz2WxFPnbjjTeyatUqVqxYwfXXX+/JaO43YIBz681Fr5RdgxuhWn34fZZz3Wipwv7cHa21o6u6sR3GMqnrJL7Z9w3/WPgPcvJyzI4klYCv2QHcITIyEl9fXzIyzu+Sy8jIIDo6utTHS0xMxN/fH3A281qyS7p7d+ck3YsWwQMPmJ1GPM3HD1rcAxv/Dbvehmb/NDuRmGoQ/5uo+32ck3dLVZXUM4n9x/czb/M8xn4ylheue6HQxhTxTg6Ho2BcRXZ2tkfOWSmKRT8/P2JjY9m8eXPBY5mZmSQnJ9O1a9dSHy8pKcmay/39mZ+fc87Ft96C3buhUSOzE4mnNb0DtkyBX6dB0xFaArBKy187eg3O7ujuOFscpSrysfnwar9XST2Ryos/vEi90Ho8eOWDZscSN/lzI9axY8eYPXt2hZ+z0vzfZcKECcybN4/Dhw8DMGvWLNq2bUvPnj1NTlaBbrjBuV2gG9urJL8QiBntXAJwn0bGSxTOgvEwMArQ4LeqzN/uz8KbFtIuuh0PffEQr/34mtmRxIvZDC9ZVDIrK4s+ffqQmprK7t276dSpEwMHDmTs2P9NGTFnzhxeeeUVAgMDCQsL48UXX6R+/folPoenFuR2m9OnISoKmjeH77SiR5WUlQofNXKOjr5mvXPwi1Rxg3B2Rb8NDDE5i5gt5XgKXV7rwt7MvSwevJi+F/c1O5K4kafqFq8pFj3B64pFgNtug7ffhp07wcXKNlLJfTcS/ngJeq2Bi640O42YLh1oDZwBtgJ1zY0jpvv98O90fa0rJ7NPsmroKjrV62R2JHETT9UtlaYbusq66dyN7B98YG4OMU+LCYANfnnS7CRiCRHAS8BR4J+oO1ournUxy/6xDJvNxnX/vY7f0n8zO5J4GRWL3q53b6hRA95/3+wkYpbQGKh/Axz4BI5uMTuNWEI/4DZgOaB71QQ61uvIBzd+QObpTK6ddy0Hjh8wO5J4ERWL3i4gwDlB9w8/wB9/mJ1GzHLJROf2l6fMzSEWMgNnF/Q9wG5zo4glxMfE80q/V0jOTObaeddy9PRRsyOJl1CxWBkMHuzc/ve/5uYQ89SKhairIfldOJlsdhqxhDCcrYrHgduBPFPTiDUMazeMx3s+zpaDW/j7/L9zOkeT+kvxVCxWBr16wUUXwTvvaK3oquyS+8DIhV+fMTuJWMY1OKfR+QKo+LnYxDtM6jqJOzvcyZrkNQxZNITcvFyzI4nFqVisDHx9na2Lv//u7I6Wqim6F9S8DHa8Aqe1RrDkexpoDEwCfjc5i1iBzWZj+rXTuanVTSz8dSF3Lr8TTYwiRVGxWFnccotzO2+euTnEPDYbXDIJcrOca0aLAFAdeBM4DQwFtFawOFd5eevvb3F146t54fsXePTLR82OJBamYrGyiI2FZs1g/nzI0f8Mqqz6N0D1pvD783D2uNlpxDK6Af8GvgGmmZxFrCLAN4APB31Iu+h2/Gf1f3j5h5fNjiQWpWKxsrDZnK2LaWmwcqXZacQsPnbnyOjsI/CHfvHLnz0KtAT+A2iKJXEKDQhl+S3LaRzWmFEfj2LJtiVmRxILUrFYmdx6q3P75pvm5hBzNb4NAqPgt2chN9vsNGIZgTi7o/NwdkefNTeOWEZ09WgcQxyEB4UzeMFgvtn3jdmRxGJULFYmTZvCFVfAhx9CZqbZacQs9kBoPg6y9kOyplOSP4sF7gN+BB43OYtYSUytGD6++WNsNht9/9uX3w9rMJT8j4rFymbYMDh9Wiu6VHUxo8A3xDlJt6H59eTPHgLaAFNxFo0iTh3qduD9ge9z9PRR4ubFkXoi1exIYhEqFiubG2+EoCB1RVd1/mEQMxqO/Qr7l5qdRiwlAHjj3L+HArpVQf7nuouv48W+L7L76G7i34nn+BkNlBMVi5VPaChcfz2sXQvbt5udRszUYhz4+MMvT2qydvmLy4AHcA50ecTkLGI1Iy4bwZQeU/gx9UdueP8GsnXvc5WnYrEyGjbMuX3jDTNTiNmCajsHu6Svh0NrzU4jlvMA0B54AnVHy189dOVD/Ouyf7Fi5wpGLxutSburOBWLlVHPntCwobNY1JyLVVuL8c7tb1oCUP7KD+fa0eBcO1qjo+V/bDYbs6+bzbXNruW1n17jybVPmh1JTKRisRCJiYk4HA6zY5Sdjw8MHw4HDsCnn5qdRsxUowXUTYB9H8ExjW6Uv2qHcxnAnwD9QSHn8/Xx5b2B79E2qi33r7yf93/WwEkrcTgcJCYmeuRcNkNtywWOHTtGjRo1yMzMJDQ01Ow45bNnDzRqBP36weLFZqcRMx38Cj6/EpqNgg4vmJ1GLOc0zqJxN7AJaG5mGLGgvZl76fhKRzKyMvhi6Bd0rt/Z7EhyjqfqFrUsVlYNGkBcHCxbBqma/qBKi7wCanWAXW/A6UNmpxHLCQRexTkqegTOSbtF/qd+jfos/cdS7D52+s3vx84jO82OJB6mYrEyGzECcnM10KWqs9mg5QTIPQ2/zzY7jVhSV2AssBaYY3IWsaK/1fkb797wLodPHSb+nXiOZB0xO5J4kIrFyqxfP4iMhFdegTy1FlRp9a6H4EbwxwuQe8bsNGJJSUADIBFIMTmLWFG/5v14Nu5Zth3exi2LbiE3L9fsSOIhKhYrM39/50CXHTtg1Sqz04iZfHzh4rFw+iDs0U3qUpjqwEzgODDB5CxiVXd3vJth7Yax/I/l/OeL/5gdRzxExWJl969/Obdz55qbQ8zX9HawV4NtMzVJt7jQD7gO+C/whclZxIpsNhsvXPcCsXViSfo6iYW/LDQ7kniAisXKrmlT6N0bPvpIA12qOv+a0PhWyPgeDn9rdhqxJBvO1sVAYAxaClAKE+gbyKJBi7go+CKGLh7K1oNbzY4kFUzFYlUwapRzcu7XXit+X6ncLr7Tud0209wcYmFNcN63+BvwnMlZxKrqhdZjwY0LOJN7hr/P/7sGvFRyKhargoQEiI6Gl15yjo6WqiusFURdDXs+gFMHzE4jlnUvEINz3ei9JmcRq+rWsBszrp3BjiM7uHnRzeQZGkhZWalYrAr8/OCOOyA5GZYvNzuNmO3isWDkwM7XzU4ilhWIszv6FPCQyVnEykZfPpph7Ybx6R+f8tx6tURXVioWq4qRI8Fuh9maZ6/Kq9sXAqNgx6uglgBx6VqgN/AWzpVdRC5ks9l4vs/zXFzrYu5feT8/HPjB7EhSAVQsVhX16kH//s61ov/4w+w0YiYfP2gyHE7ugtSVZqcRS3vq3HaiqSnE2oL9g3n3hncB+MfCf3Ai+4TJicTdVCwWIjExEYfDYXYM9/u//3NuX9D6wFVe0zuc2x0vm5tDLK4dcCvw2bkvkcJdVvsynuj1BNsztnP38rvNjlMlOBwOEhMTPXIum2FowrV8nlqQ2zSGAa1aQUoK7N8P1aqZnUjMtLInHPoK/r4fAiPNTiOWtQe4GGgB/ADYzY0jlpVn5BH/TjyOHQ7eG/geN7W6yexIlZ6n6ha1LFYlNhuMGQNHj8J//2t2GjFb039C3lnY9ZbZScTSGgB347xv8V2Ts4iV+dh8ePPvb3JR8EX8a+m/2H9sv9mRxE1ULFY1t90GISEwU6t4VHn1rwe/GrD7HbOTiOXdB4TgXD9ag6LEtajqUbyc8DKZZzIZ5xhndhxxExWLVU1oqHO96C1bYPVqs9OImewBUP8GOPIjZP5mdhqxtJo4V3T5FfjI5Cxidf2a9+P6Ftez4JcFfLL9E7PjiBuoWKyK7rzT2SU9Y4bZScRsjW52bpPVvSjFGQcEAI8D6pWQos3sM5Pq/tX5v0/+j1NnT5kdR8pJxWJV1KwZXHcdLFkCO3eanUbMdFEPCIyG3f/VbQlSjGhgBLAB0JRLUrR6ofWYetVUdh/dzdQ1U82OI+WkYrGquvtuZ3Hw/PNmJxEz+dih4SA48QdkfG92GrG8e3GOhn7c7CDiBcZ2GEv76PZMWz+NrQe3mh1HykHFYlXVs6dzGp1XX4Vjx8xOI2ZqmN8VPd/cHOIFGgE3A6twTqMj4pqvjy8v9n2R3Lxc7v5Ucy96MxWLhai0k3L/mc0G99zjLBRffdXsNGKmWrFQrR7sW6KuaCmB/P/pv2JqCvEOsXVjGdpuKKt2rWL17tVmx6lUNCm3SSr9pNx/dfo0NGwIgYHOJQD9/MxOJGbZMAa2vwDX/Qo1WpidRizNAC4DdgIHgGBz44jl7Tyyk4tnXUzXBl1ZPXQ1NpvN7EiVhibllooXGOgcGb1nDyxYYHYaMVPdBOd2/xJzc4gXsAF3AMeAD0zOIt6gSc0mDG83nC+Tv2TVrlVmx5EyULFY1Y0eDUFBMG2auiCrsqirwDcY9i81O4l4hZuBQNQVLSX1wJUP4Ofjx39W/wd1aHofFYtVXa1acPvtsHEjrFljdhoxiz0Qoq+B9HVwOt3sNGJ5NYGBwFqcE3WLFK1RWCNGtB/Bur3r+GzHZ2bHkVJSsSjOgS4+PvDkk2YnETPVTQAjD1Iq+eAucZMR57Zvm5pCvEdit0T87f48sfYJs6NIKalYFGjaFG68ET791NnCKFVTdC/n9uAX5uYQL9ENuAjQfa5SMvVr1GdAywGs3r2a7Ye3mx1HSkHFYiGqxNQ5f3X//c7t45pst8oKrg/Vm0KaikUpCTuQAPwM7DA5i3iLO9rfAcBrP75mchLvp6lzTFLlps75q7594ZNP4JdfoIWmT6mSvv0X7HgZ+u+G4IZmpxHLWwL0B54F7jE5i3iDPCOPZjObcersKfbesxc/u6ZsKw9NnSOe98ADzhHRunex6oq6yrlV66KUSC8gCPjI7CDiJXxsPoxoP4K0k2l8vP1js+NICalYlP/p3Bl69IB58yA52ew0YoaoHs6tikUpkWrANcDXwGGTs4i3GN5+OD42H17e+LLZUaSEVCzK+R54AHJyICnJ7CRihqDaENocDn5pdhLxGn2BXJzrRYsUr05IHa5tdi2OPxwcPX3U7DhSAioW5Xw9e8IVV8Brr8HOnWanETPU6gQnd8PpQ2YnEa/Q7dx2vakpxLskXJxArpHLyp0rzY4iJaBisRBVcjR0PpsNpk51ti5OnWp2GjFDrQ7O7eEN5uYQL3ExEA6sMzuIeJFrm10LwPI/lpucxHtpNLRJqvxo6D/r2RNWr3aOjG7e3Ow04kmHvwdHLLT+D7SdYnYa8QoJgAPIxDngRaR4LWe35PiZ4+y9Zy82m83sOF5Jo6HFXFOnQl4eTFGxUOWEtQWfADj8ndlJxGt0Ac4C35sdRLzItU2vZf/x/fx86Gezo0gxVCxK4bp0gWuvhfnzYetWs9OIJ9n9oWZ7Z7GojgcpkS7ntmtNTSHepaAreru6oq1OxaK4NnWqs1iYNMnsJOJptS6H7Aw4tcfsJOIVLj+3/cnMEOJlrmx4JXabnXX7dL+r1alYLESVHuDyZ5dfDjff7FzV5fPPzU4jnhR2qXN7ZLO5OcRLBAMNgV/MDiJeJMgviJaRLfkp9Sezo3glDXAxiQa4FCI52TnApUUL+OEHsNvNTiSekP4dfNYR2j4KrR8wO414hXiccy2exLlutEjxbv3wVuZtnkfGxAxqBtU0O47X0QAXsYaGDWHcONi0Cd56y+w04ilhrQAbHN1kdhLxGi2BM8Aus4OIF2kf3R6ATWn6XWNlVaZY3LFjB0OGDGHatGkMGzaMZcuWmR3Je9x/P0REwIMPwsmTZqcRT/ANhpAYOKpuaCmplue2v5qaQrxLu+h2APyY8qO5QaRIVaZYPHLkCMOGDWPChAk8/fTTjBo1yuW+umfxL2rUcE6hc+AAPP202WnEU8LawvHtkHPK7CTiFVQsSunlF4s/pf1kag5v5Ml7Fr2qWExPT2fw4ME0bty40OfnzJlD+/bt6dKlC/Hx8ezdu7fgucsvv5xevXoBkJubS3BwsMvzJCUlERcX597w3u6f/4RWreCJJ+CPP8xOI54Q1hqMPDi2zewk4hWantvuNjOEeJnwoHAuCr6IHRk7zI7ideLi4khKSvLIubymWNy6dSsDBw6kVq1aFDYmZ9GiRUydOpUVK1awbt06OnXqRP/+/cnLy7tg35kzZ/K0WshKx88P5syBM2dg7FjNv1cV1LjEuc3UCFcpiYsAP2BvcTuKnKdBjQbsydQ0XVbmNcViREQEDoeD2NjYQp+fNm0aQ4YMISIiAoC77rqLTZs2sXLl+YuUv/XWW9SrV49+/fq5PJe6oV248koYOhQcDliwwG2H1bX2vBJd89Bz3YrHVCy6Q+X/nPsAdbFSsVj5r7n1lOWaN6jRgP3H95OTl1MBiSovdUMXIjo6moCAgEKfy87OZsOGDbRt27bgsbCwMBo2bMjatf9bUWD+/PlkZmYyZswYHA4HWVlZhR5P3dBFePppqFnTOUL62DG3HFK/0D2vRNc8JAZsdsjUPWjuUDU+5/WBfWaHKFA1rrm1lKlYDG1AnpHHgeMHKiBR5aVu6FJKT08nJyeH8PDw8x4PDw8nJSUFgO+//55Ro0axcOFCevTowejRozlz5owZcb1bZKTzvsUDB+Dhh81OIxXJHgAhzdSyKKVQDzgMaFCUlFyDGg0A1BVtYb5mB3Anm83m8rHLL7+co0ePFvn6/Hshj7mpxazSuukmePllmDEDBgyASy8t1+Gys7N1zT2sxNfcHgMHPoEjh5zFo5RZ1ficX3Ru+xvQzMwgQFW55tZSlmseYY+A0/Drvl9pG9a2+BdIgfxrXeHrqxhe5vXXXzcaNmx43mPZ2dmGr6+v8fbbb5/3eOPGjY2HH364xMfeu3evAehLX/rSl770pS99ec3X3r173VBhuVYpWhb9/PyIjY1l8+b/TSCcmZlJcnIyXbt2LfFx6tSpw969ewkJCSm0lVJERETEKgzD4Pjx49SpU6dCz1MpikWACRMmMHbsWCZNmkStWrWYNWsWbdu2pWfPniU+ho+PD/Xq1avAlCIiIiLuU6NGjQo/h9cUi1lZWfTp04fU1FRSU1Pp0aMHAwcOZOzYsQAMGDCA1NRUevfuTWBgIGFhYSxZsgQfn0oxhkdERETEFDbDqPyzK0+ePJnFixcTFhZW8Njf/vY3nnnmGQD27t3LyJEjOXr0KFlZWfzzn/9kzJgx5x1jzpw5vPzyywQFBREWFsaLL75I/fr1PfljWF56ejpjx47l22+/ZdeuXec9545rXJJjVDVFXfOwsDDatWt33mOzZs2iTZs2Bd/rmpecYRi88cYbvPHGG9jtdo4cOULHjh154oknCn636HPuXiW55vqcu9dHH33Eiy++SE5ODkeOHCEoKIinnnqKTp06Feyjz7l7leSam/45r9A7Ii3i4YcfNr744otCn8vNzTXatWtnPProo4ZhGMbBgweNiy66yFi0aFHBPgsXLjSio6ONQ4cOGYZhGFOmTDHat29v5ObmVnh2b7Flyxaje/fuxpgxYy4YgOSOa1ySY1Q1RV1zwzCM7t27F/l6XfPSOX78uBEcHGxs27bNMAzDOHnypNGxY0fjhhtuMAxDn/OKUNw1Nwx9zt0tLi7OWLBgQcH3EydONGrVqlWq66VrXjrFXXPDMP9zXuWLRYfDYdjtdiMzM7PgsXvuucfo0qVLwfedO3c2JkyYUPD9kSNHDB8fH+Ozzz6rsMzeJiUlxTh9+nSho9XdcY1LcoyqpqhrbhjF/3LRNS+d06dPG08//fR5j82cOdMICgoy8vLy9DmvAMVdc8PQ59zdvv/++/OKlKVLlxqAkZGRYRiGfp9XhOKuuWGY/zmvMjf0vfrqq/To0YMrrriCsWPHkp6eDsDatWtp2LAhoaGhBfu2a9eODRs2cPbs2RKvDlPVFbXCjjuucXHHqIqKuuYAKSkp3HjjjXTr1o24uDg+/PDDgud0zUsvICCACRMmnPfYqVOnuOiii7DZbPqcV4Dirjnoc+5uf/vb3wru9T9+/Divvvoqw4YNo2bNmoB+n1eE4q45mP85rxLFYqNGjejQoQMrV65k9erVnD17liuvvJLs7GxSUlIKXfnl7NmzpKenl2h1GCmaO65xcceQC11yySU8/fTTfPXVVzz11FOMGDGCt99+GyjZqke65kUzDIMFCxYwceJEQJ9zT/jrNQd9zivKoEGDqFOnDn5+fsycObPgcX3OK46raw7mf86rRLE4bNgw7rzzTux2O76+vjz55JP8+uuvLF26FCh85Ze/Pl7U6jBSPHdc45IcQ/7nww8/pFGjRgBceumlDB06lKeeeuq8fXTNy2769Ok0aNCA0aNHFzymz3nFKuya63NeMd577z0yMjKoV68esbGxnDhxouA5fc4rRlHX3OzPeZUoFv8qLCyMGjVqsHPnTmrXrk1GRsZ5z2dkZODn50etWrWIjIzE19e30H2io6M9GdtrueMaF3cMKV7Dhg3ZuXMngK55Oc2fP59Vq1bxzjvvFPyi1ee8YhV2zQujz7n7+Pn58cQTT7Bjxw7ef/99QJ/zilbYNS+Mpz/nVaJYHD9+/Hnfnzx5kmPHjlG/fn26du3K7t27OX78eMHzmzZtIjY2Fj8/P7etDlOVueMaF3cMOd+qVav4+OOPz3ssJSWlYBoFXfOye++993j77bdZsGABgYGBbN++nTNnzuhzXoFcXXN9zt3v8ccfP+97Pz8//P39C1q59Dl3v+KuuSU+5yUaBuPlGjVqZCxfvrzg+wceeMCoV6+ecezYsYLh5ElJSYZhGMahQ4eMqKioC6YBqF27tpGenm4YhmFMnTrVaNeunabOKURhI3PdcY1LcoyqqrBr/vrrrxs9evQwsrKyDMNwrnseHR1tPPvsswX76JqX3vz5840rr7zSOHjwoHH8+HHj+PHjxi233GLs2rVLn/MKUtQ11+fc/YKCgowtW7YUfP/SSy8ZAQEBxi+//GIYhn6fV4TirrkVPudVolicN2+e0b17d6N79+5Gx44djYSEBOO3334reH7Pnj1Gnz59jM6dOxvt2rUzZs+efcExZs+ebbRv397o3Lmz0adPH2PPnj2e/BEs79SpU0b37t2N5s2bGwEBAUb37t2NWbNmFTzvjmtckmNUJUVd8z179hijR482OnToYFx55ZXGZZddZjz33HMX/IGja15yKSkpht1uN4ALvnbt2mUYhj7n7lbcNdfn3P2mT59udO7c2ejevbvRuXNno1u3bsbnn39+3j76nLtXcdfcCp/zKrGCi4iIiIiUTZW4Z1FEREREykbFooiIiIi4pGJRRERERFxSsSgiIiIiLqlYFBERERGXVCyKiIiIiEsqFkVERETEJRWLIiJSanl5eZw8ebJcx/jz0mMiYl0qFkWkXBo1akR4eDjR0dEFXzabDX9///Meq169OsOGDTM7rrjB7t276dixI9u2bQPgscceIzo6Grvdjt1uJzo6mscee6xg/6ZNm1KtWjV8fX2Jjo5m4cKFAFx++eWsXLnSlJ9BREpOxaKIlNuiRYtITU0t+ALo0qXLeY9NmDDB5JTWNHnyZGw2G7t37zY7SomkpKTQrVs3brvtNi677DIAHnjgAVJTU6lfvz7169cnNTWVBx54oOA18+bNIzQ0lA8//JDU1FRuuOEGAF5//XUGDhzI6tWrzfhRRKSEVCyKiEiJjRkzhoYNG3LnnXeWaP81a9bw97//nbfeeouEhITznuvSpQsjR45k6NChnDp1qiLiiogbqFgUkXJZuXIlHTp0KHa/sWPH8vjjj3sgkVSUrVu3snjxYsaPH1+i/T/77DNuuukm3n//fa655ppC97nnnnvYt28fb731ljujiogbqVgUkXLJvx+tOBEREdSuXZu8vDyeffZZWrZsSXh4OFFRUdx8883s3LmzYN/8e+BsNhvDhg1jwYIFXHrppYSEhHD11Vezfft28vLymDRpEg0aNKB27drce++95OTkFBzjuuuuIzw8HJvNxty5c7nnnnto3LgxoaGhxMbG8sUXX1yQ8ejRo9x1113UrVuX8PBwGjduzMSJE88byPHn47722mskJSXRokUL/Pz8CrqTDx48yP3330/btm2pXbs2YWFhxMXF8f333593vrZt2zJt2jQAYmNjC+7vzMjIoHnz5lSvXv28Luq9e/cSHR2Nv78/jRo1KjjOW2+9VXDPYI8ePfj666/p2rUrtWrVwmazMXny5PP2bd++PeHh4dSqVYuEhAR++umnYt8/gPfeew+Aq6++uth9lyxZwm233cZHH31E9+7dXe4XFRVFq1atmD9/fokyiIgJDBERNwOM7t27F/rciBEjjJCQEGPFihWGYRhGamqqcdVVVxmRkZHGvn37LjhOy5YtjQcffNDIzs42UlNTjWbNmhmtW7c2pk2bZqxdu9YwDMN4//33DcB48cUXz3v9F198YQBGVFSUMXv2bCM7O9s4ceKEcfPNNxv+/v4FrzcMwzh58qTRtm1bo1WrVsYff/xhGIZh/PDDD0a9evWMbt26GTk5ORcct23btsarr75q5OTkGL/88sv/t3dvIVG1XRzA/7k9D4543B7SybQsJELEFNJUOoFSRtIUBKXY4UK0YkDQQNEMupEw6GSahmll0ZEwo8yK0JQOUpigJoYiOZ7JdMbG9V28zLxNe0bHN7O+WL+7/ey117P2npvFPPPsIUEQqKuri+7du0eOjo5UX19PRESjo6O0e/duksvl1NfXZ1Rjbm4uAaCuri7JszJ3LiYmhhQKhSReoVBQQEAA7dy5k4aGhkir1VJMTAzl5uYSEdGxY8dIEAS6cuUK6XQ6Gh0dpV27dpGjoyO9efPG5Of1vdjYWPLy8jJ7XqFQkEKhoOrqavLy8qJXr17NmpOISKlUkq2tLU1NTVkUzxhbWNwsMsbmnblm8dmzZwSAcnJyjMbb29sJAKWlpUnyiKJo1EToG6jMzEyjWH9/f9q4caPRmL6p+3F8YGCAbG1tKTIy0jCWn59PAKiurs4o9sKFCwSArl+/LskbHx9vFHvx4kUaGxuj58+fS+7xy5cvZG1tTdnZ2Ubj890sWltbU29vr2GsoaGBXr58SR8/fiRBEGjPnj1G14yMjJCjoyMlJCRI8v3I19eXVq9ebfa8QqEgOzs7EgSBUlNTZ82nl5GRQQAMTTpj7M/Cy9CMsQVTXV0NAJLfrwUFBUEul6O2tlZyTVhYGKytrQ3Hvr6+AP557cr3fH190dPTY3Le2NhYo2M3NzeEh4ejsbER/f39htrs7e0RHR0tmR+AydrWrVtndJySkgInJydERUUhLy/P6JxMJoO3tzc+fPhgssb5EhQUBB8fH8NxZGQk1qxZg5s3b0Kn00mevbOzM4KCgvD48WOjZXxTBgcHIZPJZoyRyWTw8fFBaWmpYYl9Nvqcg4ODFsUzxhaW9ewhjDE2Pzo6OgAA27ZtgyAIRueICMPDw5Jr3N3djY5tbGxMjtva2prdUSuKomTM29sbANDV1QVPT090dHRAq9Vi8eLFkrpkMhkGBgYkOTw8PEzOp9PpUFpaivLycnR3d0On0wEA1Go1li5davKa+WKuJv2zT09Pl2xQmZiYgCAIGBoagqenp9ncWq3WqHE3xcnJCbW1tYiOjkZmZiY8PDywd+/eGa/R59RqtTPGMcZ+D24WGWMLhogAAPX19QgJCbHomkWLFs1pfK61fM/V1dXwnkhLWFmZXpxRqVQoKipCUVERDhw4AHt7ewAw2pTyM6anp+dck/5+KyoqkJCQ8J/mdXR0xNTU1KxxwcHBqKmpQVxcHPbt2wd3d/cZ59Q3iZZslGKMLTxehmaMLZjly5cDAHp7eyXnPn36hKampl8y7+fPnyVjfX19AICAgAAAwLJlyzA4OAiNRiOJbWlpQXt7u8XzlZeXY+XKlcjIyDA0iv+F/hu3H5eH1Wr1nHPN9Oz7+/vx9OnTWXN4e3tjZGTEovnCwsJw9+5dCIKAHTt24MWLF2Zj9Tm/Xz5njP05uFlkjC0YpVIJALh9+7bkXHp6Oi5fvvxL5v3xNTlqtRrNzc2IiIgwLLsqlUoQEe7cuWMUq9FosGnTJrx7987i+ezs7CTffGq1WpNNq/73evqGsKKiAnV1dQD+bZ6+b/DUajU6OzstrkVv+/btEATB5LM/fvw4CgsLZ80REhJistk0JzY2FteuXYNWq8WWLVvw/v17k3E9PT1wc3ODl5eXxbkZYwuHm0XG2IKJiorCwYMHUVZWhlu3boGIMDU1hcLCQjQ2Nv6yvwTs6enBmTNnMDU1hfHxcRw6dAgAjDZgqFQqhIaGIisry9DUDA8PIyUlBcHBwZJ/H5lJUlISWltbUVxcDCLC5OQkDh8+jMnJSUnsihUrAACtra3QaDQ4ceIERkdHAfyzEcjW1hanT5+GRqPB169fkZ2dLfldpSWWLFmCgoICPHjwAOfOnYNOp8P09DSqqqpw6dIlo3cxmrN+/XqMjY2hu7vb4nkTExNRUlKCkZERbN682eS1LS0t2LBhw1xuhzG2kH7fRmzG2N8mIyODRFEkAGRjY0OiKNLVq1eNYqanp+nUqVMUEhJCbm5upFAoSKlUUltbmyGmuLjYkMfe3p5EUaRv377R1q1bSS6XEwBycXGhtLQ06urqIlEUycbGhqysrEgURaqpqSGif19xU1JSQjk5ORQYGEhOTk4UFhZGjx49ktQ/MjJCR44cIT8/PxJFkQIDA0mlUtHw8LAhJjk5mVxcXAgAyeVyEkWR3r59a5RnfHycVCoV+fn5kZubG4WGhtLZs2fJ39/f8Fz096vT6Sg1NZU8PDzI19eX9u/fTzqdzpDr/v37tGrVKnJ2dqbw8HB68uQJxcTEGO61srKSampqSBRFsrKyMuTPysoy+RlVVVVRWFgYubq6kp+fH8XHx1NTU5NFn+/AwAA5ODjQyZMnjcYLCgoM8+vrKigoMIopLCwkACSTyUgURZqcnCQioubmZgJAtbW1FtXAGFt4i4hM/MqbMcb+AvX19YiLi0NZWRmSk5N/dzl/hfz8fJw/fx4dHR1wcHD46XyJiYmYmJjAw4cP56E6xtivwMvQjDHGLHb06FFEREQgKSnJ5GagucjLy0NbWxsqKyvnqTrG2K/AzSJjjDGLCYKAGzduYO3atWhpafmpXJ2dnWhsbDT7bkjG2J+Bl6EZY3+lhIQENDQ0YHh4GHK5HIGBgXj9+vXvLosxxv7vcLPIGGOMMcbM4mVoxhhjjDFmFjeLjDHGGGPMLG4WGWOMMcaYWdwsMsYYY4wxs7hZZIwxxhhjZnGzyBhjjDHGzOJmkTHGGGOMmfU/frT7w0kj0RAAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'beta_Line'\n", "vary_list = [0.5,1,1.5,2]\n", "\n", "vary_one_parameter_PT(model_Line, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "param_name = 'T_int'\n", "vary_list = [700,1200,1500,1800]\n", "\n", "vary_one_parameter_PT(model_Line, planet, param_name, vary_list,\n", " P, P_ref, R_p_ref,\n", " PT_params, log_X_params, cloud_params,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pelletier \n", "\n", "This profile has no set number of parameters. \n", "\n", "It generated a uniform number of knots in between P_min and P_max.\n", "\n", "Below, I have 9 knots, which will set the knots to be at each pressure level (2,1,0,-1,-2,-3,-4,-5,-6) bars.\n", "\n", "T_1 represents the top of the atmosphere (1e-6 bars) and T_9 represents the bottom (1e2 bars)\n", "\n", "Additionally, this model is primarily used in retrievals where it has a second derivative penalty on the PT profile (to prevent it from getting too wriggly)\n", "\n", "This parameter is called sigma_s and is fit for during a retrieval. We reccomend setting a pretty tight prior on this parameter.\n", "\n", "(For example, for 150 is a strict second derivative prior while 550 is not. The priors I set were +/- 20 that value.)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['T_1' 'T_2' 'T_3' 'T_4' 'T_5' 'T_6' 'T_7' 'T_8' 'T_9' 'sigma_s']\n" ] } ], "source": [ "model_name_Pelletier = 'Pelletier'\n", "\n", "bulk_species = ['H2', 'He']\n", "param_species = []\n", "\n", "# Create the model object\n", "model_Pelletier = define_model(model_name_Pelletier, bulk_species, param_species, \n", " PT_profile = 'Pelletier',\n", " number_P_knots = 9, PT_penalty = True)\n", "\n", "print(model_Pelletier['PT_param_names'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Results from sigma_s = 150" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "# Atmospheric pressure grid\n", "P_min = 1.0e-6 # 1 ubar\n", "P_max = 100 # 100 bar\n", "N_layers = 100 # 100 layers\n", "\n", "# Let's space the layers uniformly in log-pressure\n", "P = np.logspace(np.log10(P_max), np.log10(P_min), N_layers)\n", "\n", "# Specify the reference pressure\n", "P_ref = 1 # The R_p_ref parameter will be the radius at 1 bar\n", "\n", "# Free parameters\n", "R_p_ref = 1.12 * R_J\n", "\n", "T_1 = 1222.7 \n", "T_2 = 1176.1\n", "T_3 = 1172.5\n", "T_4 = 1162.1\n", "T_5 = 1179.5\n", "T_6 = 1258.0\n", "T_7 = 1368.8\n", "T_8 = 1564.1\n", "T_9 = 1775.1 \n", "sigma_s = 155.54 \n", "\n", "PT_params = np.array([T_1,T_2,T_3,T_4,T_5,T_6,T_7,T_8,T_9,sigma_s])\n", "log_X_params = np.array([])\n", "cloud_params = np.array([])\n", "\n", "atmosphere_Pelletier = make_atmosphere(planet, model_Pelletier, P, P_ref, R_p_ref, \n", " PT_params, log_X_params, cloud_params)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Produce plots of atmospheric properties\n", "fig_PT = plot_PT(planet, model_Pelletier, atmosphere_Pelletier, log_P_max = 2.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now from the more 'relaxed' sigma_s = 550" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "# Atmospheric pressure grid\n", "P_min = 1.0e-6 # 1 ubar\n", "P_max = 100 # 100 bar\n", "N_layers = 100 # 100 layers\n", "\n", "# Let's space the layers uniformly in log-pressure\n", "P = np.logspace(np.log10(P_max), np.log10(P_min), N_layers)\n", "\n", "# Specify the reference pressure\n", "P_ref = 1 # The R_p_ref parameter will be the radius at 1 bar\n", "\n", "# Free parameters\n", "R_p_ref = 1.12 * R_J\n", "\n", "T_1 = 835.0 \n", "T_2 = 732.9 \n", "T_3 = 982.5 \n", "T_4 = 1631.1\n", "T_5 = 540.1 \n", "T_6 = 1378.0 \n", "T_7 = 2213.9 \n", "T_8 = 1957.9 \n", "T_9 = 1624.7 \n", "sigma_s = 552.50 \n", "\n", "PT_params = np.array([T_1,T_2,T_3,T_4,T_5,T_6,T_7,T_8,T_9,sigma_s])\n", "log_X_params = np.array([])\n", "cloud_params = np.array([])\n", "\n", "atmosphere_Pelletier = make_atmosphere(planet, model_Pelletier, P, P_ref, R_p_ref, \n", " PT_params, log_X_params, cloud_params)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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JikGPtM7EiZ0xdGhbfPfdJZw/nyF2OURERKJh0COto6Ojg5Ur/aCrq4M5c6Ihlwtil0RERCQKBj3SSj172iAsrDfOnEnHL7/Eil0OERGRKBj0SGt9+KEXbG1N8M47R3HvXrnY5RARETU5Bj3SWubmhli2zBvZ2WV4660jYpdDRETU5Bj06hAeHg6pVCp2GaQC06Z1g7+/M3744Qo2brwhdjlEREQqIZVKER4eXu91OoIgcKb63woLC2Fubo6CggK0bNlS7HJIRTIzS+Du/huKi2W4cGE6OnZsJXZJRERET60huYU9eqT1bG1NsX79KJSUVGDSpCiUl1eKXRIREVGTYNCjZsHX1wkLFw5CTEwW3njjkNjlEBERNQkGPWo23n/fE76+Tvj220vYtInz9YiISPsx6FGzoaeni/XrR8HW1gQvvihFTEyW2CURERE1KgY9albs7EyxefMYyGRyBAVtRXJyodglERERNRoGPWp2hgxpi7VrRyI9vQQjR27lZspERKS1GPSoWZo0qQs+/9wb167lYvz47bh/nytxiYhI+zDoUbP1xhv98NprvXHkSCpmzNgLuZxbShIRkXaRiF0AkVh0dHTw1VfDkJpajI0bb8DR0QzLlnmLXRYREZHKsEePmrXqlbhBGDjQAZ99dhZLlpwSuyQiIiKVYdCjZs/YWB+7do2Hu3tr/N//ncDHH58WuyQiIiKVYNCrQ3h4OKRSqdhlUBOytDTGgQMT4e7eGu+/fxyffHJG7JKIiIgeSSqVIjw8vN7rdARB4Az0vzXk4cCk3XJzy+DntwmXLmXjk0+G4J13BohdEhERUZ0aklvYo0f0ACur6p49NzcbvPvuMSxb9pfYJRERET0xBj2if7G2NkF09ET07GmNt98+yrBHREQai0GPqA7VYW+SIuyFhx8DZzkQEZGmYdAjegQbGxMcOjQZAwbY45NPzuCVV/ajqkoudllEREQNxqBH9Bg1c/aGD3fBmjWXMWlSFMrL+bg0IiLSDAx6RPVo0cIAUVHjMXlyZ0RGxmHUqEgUFcnELouIiKheDHpEDWBgoIf160dh9mx3HDyYjGHD/kB2dqnYZRERET0Wg14duGEy1UVPTxcrV/ph4cKBOH8+E4MHb0B8fL7YZRERUTPEDZOfADdMpoZaufIC5s49CGtrY+zcOR6eng5il0RERM0MN0wmaiRhYX0QGTkWJSUVGDZsEzZvvil2SURERA9h0CN6QuPGdcSRI1NgYWGISZOi8L//neFee0REpFYY9IieQr9+djhzZip69LDGO+8cwyuv7EdFRZXYZREREQFg0CN6ak5OLXHixDOKvfZGjYpEQcF9scsiIiJi0CNShZYtDbFr13i88kov7N+fhEGDfueKXCIiEh2DXh24vQo9CX19PXz7rT8++8wb16/nwsNjHQ4eTBa7LCIi0kLcXuUJcHsVUpXdu+PxzDO7UFJSgeXLfTF7tjt0dHTELouIiLQIt1chEklQUDucPj0Vrq7mCAuLxquv7odMxkUaRETUtBj0iBpJ165W+OuvaQgIcMb331+Gv/9mPjaNiIiaFIMeUSNq1coIu3dPwOuv98WxY6nw8FiHS5eyxC6LiIiaCQY9okYmkejiq6+G4ccfA3H3bjEGDfodf/xxQ+yyiIioGWDQqwNX3VJjmDmzJw4fnoyWLQ0xZcouvPXWEVRWysUui4iINBBX3T4BrrqlpnD3bjFCQ3fi1Km78Pd3xsaNo2FlZSx2WUREpGG46pZIDTk4tMChQ5Pwyiu9cOBAEvr1W4uLFzPFLouIiLQQgx6RCAwNJVi9OgBr1gzH3bslGDRoA9atuyZ2WUREpGUY9IhE9NJLbjh6dAosLY3w3HO78frrB1FRwf32iIhINRj06sDFGNSUBgywx/nzz2Hw4DZYvvwC/P03IzOzROyyiIhIjXExxhPgYgwSk0xWhQULDmPFiotwcGiBrVvHwNPTQeyyiIhITXExBpEGMTDQwzff+GHt2iDcu1eOoUM34ttvY8D/FiMioifVrIJeQkICWrZsiePHj4tdCtEjTZvWDadOPQtHRzPMnn0AL7ywF2VlFWKXRUREGqjZBD25XI5ly5ahe/fu9V7LOXoktl69WuPcuecwalQ7/PrrVXh5bUBCQr7YZRERkZpo6Bw9tQp6OTk5mDJlClxdXes8v2rVKvTu3RuDBg1CUFAQUlJSGnzvr776Cq+88goMDQ3rvXbp0qUIDAxs8L2JGkOrVkbYuXM8PvxwEGJistC37zrs3ZsgdllERKQGAgMDsXTp0nqvU5ugFxsbi9DQUFhZWdU5JykyMhKLFy/G/v37cfLkSXh6emLs2LGQy+t/hFRMTAwAwN3dXcVVEzUuXV0dfPDBIOzaFQJBEBAUtBWLFp1AVRUfnUZERPVTm1W3GRkZaNWqFTZs2IBFixYhMTGx1vlBgwbBy8sLn332GQAgPz8fVlZW2Lt3LwICAgAAnp6eD93XxcUFPXv2BADo6enh+++/R2BgIKZMmQJvb+9a19asXpkzZw6Cg4PZq0dqJT4+H6GhO3HxYhYCA12wbl0QrK1NxC6LiIhEIJVKERUVhYiIiMeuulWboFfjl19+eSjoyWQymJqa4qeffsJzzz2nON6uXTtMnz4dixYtavD9fXx8sGTJEgwePPihc9xehdRdeXklXnstGj/8cAVOTmbYvHkM+ve3F7ssIiISgdZsr5KTk4PKykpYWlrWOm5paYn09PQG3+f7779HUlISfvvtN9y4cUPVZRI1OiMjCdasCcRPPwUiK6sMgwdv4BYsRET0SBoR9Gro6Og06Nij/Oc//0FCQgK+//57dOnSRZWlETWpF17oWWsLlunT96CkRCZ2WUREpGYkYhfQEDY2NpBIJMjLy6t1PC8vD3Z2dip/v/DwcBgYGACoXtXCuXqkjtzdW+P8+ecwffoerFt3DRcvZuLnn0fAw4NDuURE2koqlSq2gJPJ6v8PfI0Ievr6+vDw8MDly5cVxwoKCpCUlAQvLy+Vv9/SpUs5R480goWFEbZvH4dly/7C++8fR//+6zF9ejd88slQODi0ELs8IiJSsQc7oAoLCxEREfHY6zVm6HbBggVYt24dcnNzAQArVqyAm5sb/Pz8RK6MSFy6ujp4550BiImZjoAAZ/z22zV07PgDliw5xSdqEBE1c2qz6rasrAwjR45ERkYGEhMT4enpidDQUISFhSmuWbVqFX744QcYGRnBwsIC3333HRwdHVVWA1fdkqYTBAF//hmP+fMP49ate3ByMsOyZd6YNKmzUvNZiYhI/TUkt6hN0FMHDHqkLWSyKqxaFYMPPzyJ/Pz7GDTIAV9/PYzz94iItIjWbK9CRMoxMNDD66/3RVzci5gzxx1nzqSjf//1eP753bh7t1js8oiIqIkw6BFpMWtrE6xc6Y9Ll57H8OEuivl7b755GElJBWKXR0REjYxBj6gZ6N7dGnv3TsCff4bAxcUcn39+Du3a/YCJE3fixIk0brhMRKSlOEfvAZyjR82BXC5g//5EfP31eezdmwgA6NfPFq+/3hcTJ3aGgYGeuAUSEVGDcDGGkhj0qLm5cSMX33xzAb/8chVlZZWwtzfFnDm98corbrC2NhG7PCIiegwGPSUx6FFzlZdXhh9+uIIVKy4iNbUIRkYSTJvWFf/9bx/06GEjdnlERFQHBj0lMehRc1dRUYVt2+Lw9dcXcOrUXQCAn58TXn+9L4KC2kFXl3vxERGpCwY9JTHoEf3jzJl0LF9+Hps330JlpRyuruaYPr0bpk/vjnbtLMQuj4io2WPQUxKDHtHDUlOLsGpVDH75JRbp6SUAgCFD2uL557tj4sROaNnSUOQKiYiaJwY9JTHoET1aZaUcBw4k4ddfr2L79tsoL6+EsbEEISEd8fzz3eHr6wQ9Pe7YRETUVBj0lMSgR9Qw+fnl2Lz5Fn799SpOnEgDALRp0wLPPdcNzz/fHV26WIlcIRGR9mPQUxKDHpHybt++h99+u4rffruGpKRCAED//nZ4/vnumDKlCywtjUWukIhIOzHoKYlBj+jJyeUCjhxJwa+/XsWWLbdQUlIBAwM9BAe3w/PP98CIES7Q1+dmzEREqsKgpyQGPSLVKC6WITIyDr/+ehWHDiVDEABLSyOMH98RkyZ1hq+vEyQSzucjInoaDHpKYtAjUr3k5EKsW3cNmzbdxKVL2QAAKytjTJhQHfq8vR0Z+oiIngCDnpIY9Iga182bedi8+SY2bbqJK1dyAAA2NsaYMKETJk/ujCFD2nLlLhFRAzHoKanmGzZnzhwEBwcjMDBQ7JKItNa1aznYvPkW/vjjBq5fzwMA2NqaIDS0EyZN6gwvrzYMfUREjyCVShEVFYWIiAgGvYZijx6ROK5ezcGmTTfxxx83cfNmdeiztzdFaGgnTJ7cBQMHOvDxa0RE/8IePSUx6BGJSxAEXLlSE/pu4PbtfADVe/RNnNgZEyd2gqcnQx8REcCgpzQGPSL1IQgCLl3KVoS++PgCANU9fePGdUBISCd4e7flli1E1Gwx6CmJQY9IPQmCgAsXMrF1axy2br2FW7fuAQBatTLCmDHtERLSEQEBzjA21he5UiKipsOgpyQGPSL1JwgCrl/PRWRkHCIj43DxYhYAwNRUH0FBrggJ6YSgIFe0bGkocqVERI2LQU9JDHpEmichIR/btt3G1q23cPLkXQCAgYEeAgKcMWFCRwQHt4e1tYnIVRIRqR6DnpIY9Ig0W3p6MbZvv43IyDgcOpSMqioBeno68PZ2REhIR4wb1wFt2piJXSYRkUow6CmJQY9Ie+TllSEq6g4iI+MglSbi/v0qAICnpz1CQjpi/PiO6NChlchVEhE9OQY9JTHoEWmn4mIZ9uxJQGRkHHbtuoPi4goAQM+e1hg/viNCQjrCzc0GOjrctoWINAeDnpIY9Ii0X3l5JaKjkxAZGYcdO+4gN7cMANCunbki9HGvPiLSBAx6SmLQI2peKivlOH48FZGRcdi27TZSU4sAAHZ2NXv1dYSPjyP36iMitcSgpyQGPaLmSxAEnDuXodi2pWavPgsLQwQHV+/VN3y4C0xMuFcfEakHBj0l1XzD5syZg+DgYAQGBopdEhGJoGavvm3bqlfwXriQCQAwMZFgxAhXhIR0xKhR7WBhYSRypUTUXEmlUkRFRSEiIoJBr6HYo0dEdUlMLFBs23L8eCoEAdDX14WvrxNCQzth3LgO3KuPiJoce/SUxKBHRPXJzCzBzp13sG1bHA4cSEJFhRx6ejoYNswJEyd2wvjxHWFjw9BHRI2PQU9JDHpEpIz8/HLs3HkHW7bcglSaCJmsCrq6OvDxcVSEPltbU7HLJCItxaCnJAY9InpSBQX3ERVVHfr27k3A/fvVoW/o0LaYOLETQkI6wc6OoY+IVIdBT0kMekSkCoWF9/Hnn/HYvPkW9uxJQHl5JXR0gCFD2iI0tBMmTOgEB4cWYpdJRBqOQU9JDHpEpGpFRTLs3h2PzZtvYvfuBJSVVYc+L682itDXti2fv0tEymPQUxKDHhE1ppISGXbvTsDmzTfx55/xKC2tBAAMHtwGU6d2xcSJnWFlZSxylUSkKRj0lMSgR0RNpbS0Anv2VIe+nTvvoKysEvr6uggKaodp07pi9Oj2MDKSiF0mEakxBj0lccNkIhJDUZEM27bFYd26a4iOToZcLsDc3BChoZ0wbVpXDB3qyGfvElEt3DD5CbBHj4jElp5ejI0bb2DduuuKJ3K0bWuGZ5/tgmnTuqFnTxuRKyQidcEePSUx6BGROrl2LQfr11/H+vXXkZRUCABwc7PBtGld8cwzXbmIg6iZY9BTEoMeEakjuVzAiRNpWL/+OjZtuol798qhowMMG+aEqVO7YsKETjA3NxS7TCJqYgx6SmLQIyJ1d/9+JfbsScC6ddcQFRUPmawKxsYSTJ3aFbNmuaNPH1uxSySiJsKgpyQGPSLSJPfulWPLllv48ccrOHMmHQDg6WmPWbPcMWlSZ67aJdJyDHpKYtAjIk11/nwGvv32En7//TrKyiphZWWMmTN74NVXe6FdOwuxyyOiRtCQ3KLbxDVphPDwcEilUrHLICJqsL597fDDD4FIS3sVX301DJaWRvjss7Po0OEHBAVtxa5dd1BVJRe7TCJSEalUivDw8HqvY4/eA9ijR0TaQi4XcPBgMlatisGOHbchlwtwdm6JV1/thZkze6B1a1OxSySip8ShWyUx6BGRNkpJKcSaNZexZs0VZGSUwMBADxMndkJYWG94ejqIXR4RPSEGPSUx6BGRNpPJqrB9exy+/fYSDh9OAQAEBrrg448Ho29fO5GrIyJlcY4eEREpGBjoYdKkLjh0aDJiY2dg6tSu2LcvEf36rcOECTtw7VqO2CUSkYox6BERNUPdu1tj3bpRuHTpeYwb1wGRkXHo0eMXTJ++G/Hx+WKXR0QqwqBXB666JaLmomdPG2zbNg5nzkyFv78z1q69hs6df8KsWfuRllYkdnlE9AhcdfsEOEePiJq7w4eT8d57x3Hy5F0YGUkwZ4473nmnP6ytTcQujYj+hXP0iIhIKT4+Tjh+/Bn8+WcIunSxxBdfnIOr6xosXHgC5eWVYpdHREpi0CMiolp0dHQQFNQO588/h02bgtGmjRk++ugUhgzZgKSkArHLIyIlMOgREVGddHV1MHFiZ8TGzsB773ni3LlM9OmzFlJpgtilEVEDMejVgYsxiIj+IZHoYsmSwYiKGg+5XMDIkVvx0UcnIZdzijeRWLgY4wlwMQYR0ePFx+djwoSdiInJwsiRrli7NghWVsZil0XULHExBhERqVS7dhY4efIZvPBCD+zZk4C+fdfi/PkMscsiokdoFkGvrKwM48aNw//+9z/MmDEDP/74o9glERFpLGNjffz00wisWTMcGRklGDRoAzZuvCF2WURUh2YxdFtSUoJNmzbhhRdeQHFxMRwdHXHv3r2HrqvpAp0zZw6Cg4MRGBgoQrVERJrj/PkMjBmzHcXFMsTHv8xhXKImIpVKERUVhYiIiMcO3apV0MvJyUFYWBjOnDmDhISHV3WtWrUKa9asgbGxMSwsLPDdd9/B0dFRqfe4evUqXn75ZZw8efKhc5yjR0SkvI0bb+CZZ3Zh/vx++PxzH7HLIWo2NGqOXmxsLEJDQ2FlZYW6smdkZCQWL16M/fv34+TJk/D09MTYsWMhl8sb/B5r1qzBq6++is8++0yVpRMRNWuTJnVG796tsXLlRSQnF4pdDhE9QG2CnrW1NaRSKTw8POo8//nnn2PatGmwtrYGAMydOxeXLl1CdHS04hpPT8+HvqZMmaI4//LLL0MqlWLmzJnIzMx8ZC3cXoWIqOF0dXXwySdDcP9+FT788OHREiJSvYZuryJpgloaxM7O7pHnZDIZzp49i1mzZimOWVhYwNnZGSdOnEBAQAAA4PTp03W+/tq1aygpKYGHhwdMTExgYmKCrKws2Nra1nn90qVLOXRLRKSE4cNdMGyYI3755Srmz++Hbt2sxS6JSKsFBgZi4MCBiIiIeOx1atOj9zg5OTmorKyEpaVlreOWlpZIT0+v9/UGBgZYvnw5Pv30U8ydOxcjR45Ez549G6tcIqJmR0dHB59+OhRyuYAPPzwldjlE9De16dFrCB0dnQYd+7cOHTpg3bp1jVESERH97e7dYrFLIKJ/0YigZ2NjA4lEgry8vFrH8/LyHjvk+6TCw8NhYGAAoLprlNusEBE9Xk5OKV55ZT9atTLC118PE7scIq0llUoV6whkMlm912tE0NPX14eHhwcuX76sOFZQUICkpCR4eXmp/P04R4+ISDlhYdHIyirF+vWjYG/fQuxyiLTWgx1QhYWF2jFHDwAWLFiAdevWITc3FwCwYsUKuLm5wc/PT+TKiIiat82bb+KPP25i/PiOeOaZLmKXQ0QPUJsevbKyMowcORIZGRnIyMiAj48PQkNDERYWBgAICQlBRkYGAgICYGRkBAsLC+zcuRO6uhqTVYmItE5WVglmzz4AKytjfPutf4PmTRNR01GrJ2OIjU/GICJqGJmsChs33sD//vcXrl3LxaZNwZg4sbPYZRE1Kw3JLWrTo0dEROovJ6cUq1dfQkREDDIySmBqqo+FCwcy5BGpKQY9IiKq17VrOfj66wtYu/Yayssr4ehohmXLhuKll9zQqpWR2OUR0SMw6BERUZ0EQcC+fYn46qvzkEoTAQADBthj3ry+CAnpCH19PXELJKJ6MegREVEtZWUVWLfuOr7++jyuXcuFrq4OJk7shHnz+mHgQAexyyMiJTDoERERACAtrQirV1/C6tWXkJNThpYtDfDGG33x2mt94OJiLnZ5RPQEGhz0bt26hY0bN+LYsWO4desWcnNzIZPJYGJiAgcHB3Tv3h3Dhw/H5MmTuWKViEgDyGRVOHkyDXv3JmLv3gRcupQNAHB1Ncf773ti5syeMDMzELlKInoa9W6vkpWVhddeew1btmyBIAho3bo17OzsYGpqColEAplMhvz8fKSlpaG4uBimpqZ4//338fbbbzdVG1SG26sQkbZLSMiHVJqIvXsTER2dhOLiCgCAtbUxAgNdEBraCcHB7aGnxz1KidTdU2+vkpycjCFDhqBNmzb4448/4Ofnh1atWj3y+vj4eERGRuLLL7/E+fPnsWnTpqdrARERPZXS0gocOZKi6LW7deseAEBPTwcDBzogMNAFI0a4ok8fW+jqcrNjIm3zyB49QRDg6emJqVOnYu7cuUrdtLS0FKGhoRgyZAjeffddlRTaFNijR0SaThAEXL+eq+i1O3IkBffvVwEA2rY1w4gR1cHOz88JFhbcFoVIkz1Vj15ZWRlWr16N3r17K/3GJiYm2L59Oy5duqT0a4mISDkFBfcRHZ2k6LVLSSkCABgY6MHbuy1GjHBFYKALunWz4iPKiJoZpR6B9tFHHwEAgoKC0K9fv0YrSizs0SMiTVBeXokLFzJx+HD1kOzJk2moqqr+Ud6pUyvFcKy3d1uYmnIxBZG2Uvkj0BYtWgQfHx+MGDFCJQUSEdHjCYKAxMQCnDqVjtOn7+L06XTExGShokIOADA11ceoUe0UvXbt2lmIWzARqRWlgp6lpSX2798PPT3uhk5E1BiKi2U4ezYDp0//E+yyskoV52tWx3p6OsDLywGDBrWBgQF/JhNR3ZQKel26dEFJScljhzXff/99LFmy5KkLIyLSdnK5gFu38nD6dDpOnaoOdbGxOZDLq4dhJRJduLvbYNKkzvD0tIenpwPatTPnPDsiajCl5uidOHECERER+Oqrr2Bra1vnNQ4ODrh7967KCmxKnKNHRI3p3r1ynDnzT0/dmTPpyM+/rzjv4NACAwdWBzpPT3v06WMLExN9ESsmInWm8jl6//d//4fk5GQ4OTmhQ4cOsLGxga5u7U018/LynrxiIiItUVkpx9WrObWGYG/c+Ofno6GhHvr2tYWnpz0GDnSAp6cD2rY1E7FiItJGSgW9o0ePwtHREQ4ODigtLUVSUtJD11RVVamsOLGEh4cjODgYgYGBYpdCRBpALhdw504+Ll7MxMWLWTh9Oh1nz2agpKRCcY2rqzmefbbr30Ow9ujVqzXn1hHRE5NKpYiKiqr3OqWGbu3t7ZGenv7U16grDt0SUX3u36/E1au5uHgxCzExWbh4MQuXLmUpHiUGVK+E7d/fTjEEO2CAPWxtTUWsmoi0kcqHbpctW1bvNb/88osytyQiUlsFBfcRE/NPoLt4MQvXruWislKuuMbCwhAeHnZwd2+N3r1bw929Nbp2tYJEwmfFEpH4lAp6zz33XL3XnD17lkOeRKRRBEHA3bvFtQJdTEwW4uMLal3n6GiGkSNd0bv3P6HO2bklV8ESkdpSauj2QUVFRbh3716tY4IgoH///sjMzFRJcU2NQ7dE2q+qSo7bt/P/DnSZiInJxsWLmcjOLlNco6urg86dW6F3b1tFoHN3t4G1tYmIlRMR1abyoVsAWL16NT7++GON3UKFiJqP8vJKxMbm1JpPd/lydq1FEkZGEri5WWP8+I5/99TZomdPa25rQkRaQamgt3LlSrzxxhsIDQ1Fhw4d8NVXX2HBggUAgOTkZGzYsAEzZ85slEKJiB5FEASkpRXjypVsXLmSgytXchATk4Xr13MVz4AFgFatjDBggH2todfOnS05n46ItJZSQ7c9evTAhx9+iAkTJgB4eHPkffv2YdOmTfjhhx9UX2kT4NAtkforKpIhNjYHV65k4/Llf4LdvXvlta5zcjKrNfTau3drODqacT4dEWmNhuQWpYKepaVlrQ2R69pKpUePHoiNjX3CksXFoEekPior5YiLu/dAmKsOdomJhbWua9nSAD172qBnT2v07GkNNzcb9OhhDQsLI5EqJyJqGiqfo9eiRQtUVlZCIpEo/pyeng57e3sAQH5+PlJSUp6ybCJqTgRBQHp6iWLYtSbYXb+ei/v3/9mAXSLRRefOrTBlShe4uf0T7JycuOqViOhRlAp6nTt3xrvvvotPPvkEEokEvXv3xsyZM7FkyRIAwMKFC9GxY8dGKZSINF9xsQxXr+b+Heb+CXZ5ebWHXdu0aQFfX6e/w1x1qOvSxRKGhkqvHyMiataU+qk5depUvPnmm7h+/Tp27dqFN998E4MHD0b//v0BALq6utiyZUujFEpEmqOyUo7bt+8phlxrAt2/96Vr0UK/zmFXS0tjkSonItIuT7yPXo2zZ89i/fr1MDIywvjx4zFgwABV1dbkOEePSDk1Gw1fuZKjWCARG5uLa9dyUV5eqbhOT08HnTq1Qs+eNrWGXZ2dzaGry2FXIqIn0Sj76P2bh4cHPDw8nvY2aiU8PBzBwcF8wgfRA/Lzy/8Oc/8EutjYh1e7Oji0wNChbeHm9s+wa9euVjAy4rArEZGqSKVSREVF1XvdE/Xo3bp1Czt37kRCQgIAoF27dhg9ejQ6d+6sfKVqhD16RNWbDF+/nvtQL11qalGt68zNDdGjR3XP3IP/y2FXIqKmofLtVeRyOebNm4eIiAjI5fJa53R0dDB79mx88803GrsCjkGPmpOqKjnu3MlX9NLV/G9c3D3I5f/8WDA01EPXrlYPBbq2bbknHRGRmFQ+dLt48WKsWrUKY8eORVBQEOzt7f/eGiEdu3btwurVq2FtbY2FCxeqpAFE9PQe3L7kn6HXnIfm0enoAB06tMLYsR0Uc+h69LBGhw6t+OQIIiINpVSPnqOjI77++mvFkzH+bcuWLZg3b57G7qXHHj3SdAUF92sFupr/rWse3b+HXbt2teLzXYmINIjKh25tbW2RmZn51NeoKwY90hRVVf88NeLy5Zy//zcbSUm1nxpR1zy67t2tYWXFeXRERJpO5UO3Li4uuHfvHlq1alXn+dzcXDg4OChfKRE9Um5umSLI1XzFxtYedtXX10XXrlaYOrWrYi+6nj05j46IqLlTKuh9+umnePHFF7FixQq0adOm1rnU1FS8+uqr+OCDD1RaIFFzUVFRhVu37uHSpdqhLi2tuNZ1dnam8PZuCzc3G8VXly6WMDDQE6lyIiJSV48Ner6+vg8di4+Ph6urK9q1awdbW1sAQGZmJuLj49GqVSuUlZVh/PjxjVMtkZbIyirB5cs5uHQpSzH8eu1aLmSyf57tamCgh+7drRAQ4KwIdD17WqN1a1MRKyciIk3y2Dl6EokEjo6OSt0wNTUVFRUVT12YGGrGuufMmcMNk0kl7t+vxI0beYreuZreuszM0lrXtW1rBjc3a/Tq1frvUGeNTp0sudqViIjqVLNhckRExJMvxrC3t0d6erpSb/wkr1EXXIxBTyMrqwQXLmTVCnU3buShsvKfPSeNjSXo0aP6ma69ev3TS8dNhomISFlPvRhj2bJlSr/pk7yGSNNkZJTg/PkMnD+fiQsXsnD+fOZDT45wcWmJoCDXWqGufXsL6Omxl46IiJrGEz0CTVuxR4/qcvduMS5cyMT58/983b37zwIJPT0d9OhhjT59bNGnT2u4u7dGz542MDc3FLFqIiLSdk/Vo1dcXIzRo0fjp59+Qrt27ZR+87Vr1+LMmTNYuXKl0q8lEoMgCLh7t7hWoDt/PhMZGSWKayQSXfToYY2RI13Rt68t+va1hZubDYyMlFrATkRE1CQe+dupRYsWePnllzFkyBAsWbIE06dPh55e/ds3ZGdn43//+x82bNiAM2fOqLRYIlURBAGpqUWKMFfTY/fgIgl9fV307GmD4OD26Nu3ureuZ0+GOiIi0hyP/Y01depUyOVyzJ49G++88w6GDBmCzp07w9bWFqamppBIJKioqEB+fj7S0tJw+fJlnDp1Cq6urjh48CDatm3bVO0geiRBEJCcXPjAfLrquXXZ2WWKawwM9ODmZo2xYzsoeup69LCGoSFDHRERaa4GzdG7e/cuvvzyS2zatAmpqal130hHB3369MHMmTPx0ksvQV9f856Zye1VtENubhlOnEjD6dPpit66nJx/Qp2hoR7c3GwUga5vX1t0727NDYeJiEhjqGR7lbokJycjLi4Oubm5kMlkMDExgb29Pbp16wZzc3OVFC8WLsbQTMnJhTh2LBXHjqXh2LFUXLuWqzhnZCRBr17/hLo+fWzRvbsV9PUZ6oiISLOp/Fm3AODk5AQnJ6enLo7oScjlAq5dy8GxY2k4frw62KWk/LOtSdu2ZnjmmS4YMqQtBg1yQLduDHVERNR8cQISqTWZrArnz2f+3WOXihMn7uLevXLF+W7drPCf/7hhyJC2GDKkDZycWkJHR0fEiomIiNQHgx6plaIiGU6e/Ke37syZDJSXVwKo3tqkb19bDBnSRtFjZ21tInLFRERE6otBj0SVkVGC48dTFUOxMTFZkMurp42amupjyJA2GDy4OtgNGGAPExPNW+RDREQkFga9OoSHh3PVbSMpL6/E/v1J2LHjNo4cScHt2/mKczY2xhg3rgOGDGmLwYPbwN29NSQSPi6MiIjo32pW3daHj0B7AFfdNo6iIhn27InH1q1x2L07HsXFFQCA9u0t/u6xq55f17FjK86vIyIiaqBGWXVL1BB5eWWIirqDrVvjsG9fIu7frwIADBrkgJCQjhg/viPatbMQt0giIiItp3TQEwQB27Ztg1QqRW5uLrZs2YLbt28jNjYWwcHBDXpMGmmn9PRibN9+G5GRcTh0KBlVVQL09HTg4+OIkJCOGDeuIxwcWohdJhERUbOhVNArLS1FUFAQjh07BkEQ0KJFC8XxV199FcuXL8eOHTs47NmMJCYWIDIyDpGRcTh5Mg2CUP04sZEjXRES0hFjxnSAlZWx2GUSERE1S0oFvQ8//BDx8fH4/vvv0adPHwQFBQEA3NzckJSUhJkzZ2LJkiVYtmxZoxTbVLgY4/GuX89VhLsLFzIBVK+QDQ3thJCQTggKckXLloYiV0lERKS9GmUxRvv27bF161a4u7sDABwcHHD37l3F+Xv37mHAgAG4deuW8hWrAS7GeDRBELB16y0sXHhS8YgxCwtDjBnTHhMmdEJAgDOMjbn1CRERUVNR+WKMgoICRcirS6tWrVBcXKxUkaT+YmOz8d//HsLBg8lo2dIAr7zSCxMmdISPjyMfL0ZERKTGlAp6RkZGSExMhIuLS53nr169CgMDA1XUpVJ37tzBwoUL4e7ujtjYWISGhmL06NFil6X28vPLsXDhSUREXIRcLuCll3ri448Ho3VrU7FLIyIiogZQKuiFhIRgzJgxWLlyJby8vBTHKyoqsGPHDrz77rsIDQ1VeZFP6969e5gxYwb8/f2RnZ2N3r17IzU19ZHXN/c5elVVcvz8cyzeffcYcnLKMGCAPVas8IWHh73YpREREREaaY5eQUEBhg4ditjYWBgZGUEmk8HS0hK5ubkQBAHu7u44fPgwzMzMnqjonJwchIWF4cyZM0hISHjo/KpVq7BmzRoYGxvDwsIC3333HRwdHZV6j4yMDHh7e+PmzZsPneMcPeD06bsIC4vG+fOZsLU1wf/+NxTPPdcdurrcyJiIiEidNCS3KPV8KXNzc5w+fRqLFi1C+/btoa+vj6KiInTv3h0fffQRTpw48cQhr2ZI1crKCnVlz8jISCxevBj79+/HyZMn4enpibFjx0Iulyv1Pt988w0+++yzJ6pRm2VklGDGjD0YOPB3XLqUjfnz++HmzRfx/PM9GPKIiIg0lFI9esnJyQAAKysrmJqqdp5WRkYGWrVqhQ0bNmDRokVITEysdX7QoEHw8vJShLT8/HxYWVlh7969CAgIAAB4eno+dF8XFxds3LgRAPDbb7+huLgYs2fPrrOGmmQ8Z86cZjV0m5dXhs6df0JOThkCApyxfLkvuna1ErssIiIieoSaoduIiAjVrbp1cXGBRCLBmjVr8Pzzz6uk0Bp2dnaPPCeTyXD27FnMmjVLcczCwgLOzs44ceKEIuidPn36kffYuHEjCgoK8Nprr0EqlWLo0KEwNq57I9+lS5c2q6HbmJhs5OSUITx8AJYsGcznzRIREam5wMBADBw4EBEREY+9TqmgJ5FIcPnyZXTp0uWpilNWTk4OKisrYWlpWeu4paUl0tPT6339uXPn8Oqrr8Ld3R1bt25FcnIyLly48Mig19ykphYBADw87BjyiIiItIhSQa99+/bo3LnzY6+5cuUKevbs+VRFPUpdIaQhwaRfv37Iz89vhIq0Q03Qa9v2yeZXEhERkXpSKuhNnz4dv/76K2bMmPHIawIDA2s9LUMVbGxsIJFIkJeXV+t4Xl7eY4d8n1R4eLhiP8DAwECtn6vHoEdERKQZpFIppFIpgOqpbfVRKujZ2dlh+fLl2Lp1K4YOHQobGxvo6tZeuFtWVqbMLRtEX18fHh4euHz5suJYQUEBkpKSau3npyrNbY5eamox9PV10bq1idilEBER0WM82AFVWFio2jl6L774IgDg0qVL+PPPP+u8prHmeC1YsABhYWF4++23YWVlhRUrVsDNzQ1+fn6N8n7NSV5eOfT1dXH3bjF79YiIiLSIUkGvVatWiIyMfOR5QRCe+MkYZWVlGDlyJDIyMpCRkQEfHx+EhoYiLCwMQPVTOTIyMhAQEAAjIyNYWFhg586dD/UokvJee603pkzZhZEjt+LYsSmwsDASuyQiIiJSAaX20Rs9ejR27dr12GtmzpyJn3766akLE0NzfjLGZ5/9hbfeOgpv77aQSkNhaKjUfwMQERFRE2tIblEq6DWEIAgau0VHcw56giDg9dcP4ZtvLmDSpM7YsGE0n4hBRESkxhqSW1TebdOmTRuVr7qlxqejo4Mvv/TB3bvF2LTpJuztTfHVV8M0NrQTERGRkkHvo48+qvea4uLiJy6GxKWnp4u1a4OQlVWK5csvwN7eFG+91Z9hj4iISEMpNXTbkIUPOjo6qKqqeqqixNKch24fdO9eOYYM2YCrV3MxfLgLVqzwRadOlvW/kIiIiJpMQ3KLUktWra2tkZCQUOvrzp07OH36NL766isMHz4cFy5cUEnxJJ5WrYxw6NBkzJjRHfv2JaJHj1/w7rtHUVJS/8aMREREpD6U6tH74osvMH/+/Eeev3r1Kj755BOsW7dOJcU1NfboPezkyTTMmRONmJgstG1rhi+/9EFoaCcO5xIREYlMlFW3Dg4OGrsYg0GvblVVcnz33SW8995x5Offh5+fE1as8EPXrlZil0ZERNRsqXzotj7bt2+Hnp6eKm9JakBPTxezZ/fGrVsvYubMHoiOToab2694660jKCricC4REZG6UqpHz9fXt87jlZWVSEtLQ2JiIubPn49ly5aprMCmxB69hjl9+i7mzInGhQuZcHBogcWLvfDss11hZMRNlomIiJqKyoduJRIJHB0d6zzu4OCA0aNHY968eZBINPMXPoNew1VVybFmzWWEhx/HvXvlsLY2xn/+44ZZs9z5vFwiIqImoPKgZ29vj/T0dJUVqG4Y9JSXn1+On3+OxcqVFxEfXwA9PR2EhHTEa6/1weDBbbhog4iIqJGoPOhJpVIEBgaqrEB1w6D35Kqq5NizJwErVlzEvn2JAAB399aYO7c3pkzpAmNjfXELJCIi0jJNtur28OHDuHfvHnx9fWFubv60txMNg55q3LiRi5UrL+KXX66ipKQCVlbGePnlnpg92x2Ojvy+EhERqYLKV91u27YN7dq1q7UoY9KkSfDz88OECRPQuXNn3Llz5+mqJo3XpYsVVq70R1raq/j662GwsDDEp5/+BVfXNQgN3YGjR1Og4l19iIiIqA5K9eiNHz8ecrkcS5cuRffu3SGVSjFy5EiMGTMGL7/8Mn766SeYmJhg7dq1jVlzo2GPXuOQywXs3ZuAb765AKk0EQDQq5cNnn++OyZP7gIHhxbiFkhERKSBVD506+rqipiYGMXw7JQpU7Bnzx6kpqbCzMwMBQUFcHd3R0JCgmpa0MQY9BrfzZt5iIioHtYtKpJBRwfw9nbElCldEBraCVZWxmKXSEREpBFUPnQrk8kUIe/+/fvYu3cvJk6cCDOz6u00zM3NIZNp/ga64eHhkEqlYpehlTp3tsQ33/ghM3MWtmwZg5CQjjh16i5efXU/7Oy+xahRW7F27VVuxExERPQYUqkU4eHh9V6nVI9ely5dsGfPHri6uuLHH3/Ef/7zH0ilUvj7+wMAcnJy0L9/f8THxz955SJij544CgvvY8eO29iw4Qb27UtEVZUAIyMJRo9uhylTuiAoyJWrdomIiP5F5UO3S5cuxerVqzFgwAD8+eefaNeuHWJjYwEA58+fx8KFC2FsbIzNmzerpgVNjEFPfDk5pdi6NQ4bNlzH0aOpEATAzMwA48d3wJQpXeDv7wx9fT5mj4iISOVBTy6X48MPP0RUVBRsbGzw9ddfo2vXrpDL5Wjfvj0AYOXKlRg1apRqWtDEGPTUS1paETZtuokNG27g7NkMAIC1tTFCQzthypQuGDKkLXR1uSEzERE1T022j562YNBTX7dv38PGjTewYcMNXLuWCwBwcGiB4OD2GDOmPXx9nfisXSIialaaLOglJCQgPz8fvXr1gq6uUus71AqDnma4ciUbGzbcwJYttxAXdw8AYGIiQUCAC4KD22PUqHawszMVuUoiIqLGpfKgd+jQISxevBht2rRR7JX35ptv4ssvvwQAdO3aFQcPHkTr1q1VUH7TY9DTPDdv5iEq6g6iou7g+PE0yOXV/5z797dDcHB7BAe3h5ubDZ+5S0REWkflQW/q1KmIj4/Hhx9+iOHDh+PUqVPw8vKCp6cnpk6dig0bNsDd3R0rV65UWSOaEoOeZsvLK8OePQmIirqDvXsTUVBwHwDg5GSG0aOrQ9+wYY4wNOQQLxERaT6VB70OHTrg+PHjsLOzAwDMnDkTGzZsQGJiImxtbZGZmYlBgwZp7GPQGPS0R0VFFY4dS1P09t25kw8AMDXVx/DhLggObodRo9qhdWsO8RIRkWZSedBr06YN0tLSAABVVVWwt7eHr68vNm7cWOc1moZBTzsJgoDr13P/Dn3xOHXqLuRyATo6wIAB9ooh3h49rDnES0REGqMhuUWpMSxjY2NkZ2fDxsYG27dvR25uLqZMmaI4X1xcDImEw2KkXnR0dNCtmzW6dbPG228PQE5OKXbvrh7ilUoTcfp0Ot577zjatjXD8OHOGD7cBf7+znwcGxERaTylevTeeustREdHw9fXF7/++iuMjIyQkJAAPT095Obm4u2330ZGRgZ27drVmDU3GvboNT8yWRWOHEnBrl3xkEoTcfNmHgBARwfo188Ow4e7IDDQBZ6e9tyomYiI1IrKh25LS0sxa9YsxYbJP/30E7y8vFBVVQV9fX3o6Ojg119/xbRp01TWiKbEoEdJSQXYvz8JUmkiDhxIQn5+9YIOMzMD+Po6KXr8OnRoJXKlRETU3HHDZCXVfMPmzJmD4OBgBAYGil0SiaiqSo6zZzOwb18i9u1LwunTd1FVVf1xadfOHMOHu2D4cBf4+jrB3NxQ5GqJiKg5kUqliIqKQkREROMEPblcjry8PFhbWz9VoeqEPXr0OPn55Th0KAX79iVCKk1EQkIBAEBPTweeng6K3j4PDzvo6WnuxuFERKQZGqVH7/Lly3j//fcRHR0NiUSCgoICHD16FF9++SU+/PBD9OrVSyXFi4FBjxpKEATcuZOvCH0HDyajuLgCAGBhYQh//+rQFxDgDBcXc5GrJSIibaTyoHfp0iV4eXkBqN5TLykpCffu3UN2djaWLFmCtWvX4sCBA+jTp49qWtDEGPToSVVUVOHUqbvYty8J+/Yl4ty5DNR8stq1M4evrxP8/Jzh6+vIvfuIiEglVB70xowZgxYtWmD16tVo2bIlHBwccPfuXcX533//HRs2bEBUVNTTVy8CBj1SlZycUkRHJ//9lYT4+ALFuR49rOHn5wRfXyd4eztyfh8RET0RlQc9GxsbJCQkoEWLFgDwUNATBAGurq5ITEx8uspFwqBHjSUxsQAHD1YHv4MHk5GRUQIA0NXVgYeH3d89fk4YNMgBxsb6IldLRESaQOVBz8rKCrm5uYo//zvoyeVy2NraIjs7+ynKFg+DHjWFmid11IS+Q4dSFM/lNTTUw6BBDvDzc4afnxP69bODRMKFHURE9DCVPxnD2dkZmzdvxsSJE+s8/8MPP8DV1VX5SomakQef1PHaa31QVSXHhQuZih6/48fTcOhQCt5/v3r/Pm/vtoo5fj16WENXl49pIyKihlEq6L3++ut49tlnsWfPHgQEBEAmk2Hv3r1ITU3F9u3bsXfvXqxfv76xaiXSSnp6uvDwsIeHhz3efnsA7t+vxOnT6YiOTkJ0dDL27k3Erl3xAAAbG2MMG1Y9zDtsmBM6dLDg83mJiOiRlN5eZcmSJfjwww8hl8shCAJ0dHQgCAL09PSwZMkSvP32241Va6PjhsmkjoqKZDh2LBXR0Uk4eDAFMTFZinNt2rSAr68Thg1zxLBhTtzKhYiomWjUDZMTExMRGRmJ27dvQxAEdOrUCSEhIXB2dn7qwsXEOXqkCXJySnH4cAoOHUrBoUPJuH49T3HOxaUlhg1zUoS/Nm3MRKyUiIgak8oXY3z00UcAgKCgIPTr1081VaoRBj3SRBkZJTh8OOXvhR3JuH07X3GuY8dWit6+YcMcYWvLPfyIiLSFyoOerq4ufHx88Omnn6J///4qK1RdMOiRNkhNLcKhQ9WreQ8eTEZSUqHiXLduVorg5+PjCCsrYxErJSKip6HyoGdtbY3MzEzo6emprEh1wqBH2ighIf/vYd7qod60tGLFuV69bBS9fUOHtoWFhZGIlRIRkTJUHvQGDx6M3bt3PzYEvf/++1iyZIny1aoBBj3SdoIg4PbtfBw69M8efllZpQCqN2/u3bs1fH2r5/gNHtwGLVoYiFwxERE9isqD3okTJxAREYGvvvoKtra2dV7z702UNQmDHjU3NZs31/T2HT6citzcMgCARKKL/v3t/l7Y4YSBA+351A4iIjWi8qDn6+uL5ORkpKSkoEOHDrCxsYGubu1d+0+ePIny8vKnq1wk3F6Fmju5XMCVK9mK+X1HjqSgsFAG4J+ndtSs6vXwsIOBgXZO4yAiUneNsr2KRCKBo6PjY69JTU1FRUWFctWqCfboEdVWWSnHxYvVT+04eDAFx4+norS0EgBgaqqPwYPbKIZ6e/duDT09Pq6NiKipqLxHz97eHunp6U99jbpi0CN6PJmsCn/9la6Y33fy5F3IZFUAAHNzQ8Xj2oYNc+Lj2oiIGpnKg97atWvx3HPPPfYaqVSqsUOeDHpEyikrq8DJk3cVwe+vv9JRVVX9I8Xa2lixlYuvrxM6dWrFx7UREamQyoJeSkoK/vrrL+jq6mLAgAFwcHBQebHqgEGP6OnUPK6telVvCi5ezETNTxgHhxbw83OCv78z/Pyc+NQOIqKnpJKg9/rrryMiIgJyuRwAoKenh7fffhuLFy9WfcUiY9AjUq28vDIcPZr69xy/ZFy9mqs4162bFfz9neHv7wxv77Zo2dJQxEqJiDTPUwe9VatWISwsDI6OjujTpw/kcjnOnj2LzMxM/Pbbb5g6dWqjFS8Grrolalzp6cWIjk7GgQNJ2L8/CXfvVm/erKenA09PB/j7V/f4DRhgD319ruglInoUlay67dWrFwYMGIBVq1ZBIpEAAGQyGWbOnInExEQcP368caoXCXv0iJqOIAi4cSMPBw4k4cCBJBw6lIKiouqtXFq00Ie3tyMCAqp7/Lp1s+L8PiKif3nqHj0TExNkZWWhRYsWtY6np6fDzc0N2dnZqq1YZAx6ROKprJTjr7/S/w5+yTh16i4qK6unjNjbmyqGeTm/j4io2lMHPVtbW2RmZip1bt26dZg2bdoTliwuBj0i9VFcLMPRo6nYv7+6xy82NkdxrmtXSwQEuHB+HxE1a08d9B73OLNHneMj0IioMaSnF+PgwWRF8EtL+2d+n5dXG4wc6YqgoHbo2dOaw7xE1Cw0JLdIHneD0tJSrF27FnVlwbKysjrPlZWVPUXJ6iE8PJyLMYjUjL19C0yd2g1Tp3aDIAi4ebN6ft++fUmIjk7C0aOpePfdY2jTpgVGjHBFUJAr/P2d2dtHRFqpZjFGfR7bo6erq/vI/zIWBOGhczXHqqqqlCxXPbBHj0gz3b9fiWPH0rB7dzz27EnAjRt5AACJRBdeXg6K3r4ePdjbR0Ta46mHbi0sLLB8+fIGv6EgCJg3bx7u3bunfLVqgEGPSDskJORjz54E7NmTgIMHkxXP523b1gwjRrggKKgd/Pyc2NtHRBrtqYPekzy3Vl2fdRsbG4s5c+YgICAA77//fp3XMOgRaZ/y8kocO5aK3burg9/Nm//09g0e3AZBQa4YOdIV3buzt4+INMtTBz2ZTAYDAwOl3vRJXtMUNm7ciGvXrsHAwKDeoMcNk4m0V3x87d6+srLq3j5HR7Nac/tatFC/n2NERDVUsmFyU8vJyUFYWBjOnDmDhISEh86vWrUKa9asgbGxMSwsLPDdd9/B0dGxwfdftGgRJBIJe/SICEB1b9+RIymK4HfrVvW0E0NDPQQGuiAkpCOCg9vD0tJY5EqJiB721Ktum1JsbCzCwsLQvXv3Olf5RkZGYvHixbhy5Qqsra3x0UcfYezYsTh37hx0dXVFqJiINJ2RkQSBga4IDHTF118Dd+7kY/fueGzffht//hmPnTvvQE9PB8OGOSEkpCPGjesAe/sW9d6XiEhdqE2PXkZGBlq1aoUNGzZg0aJFSExMrHV+0KBB8PLywmeffQYAyM/Ph5WVFfbu3YuAgAAAgKen50P3dXFxwcaNGwE0vEePQ7dElJNTiqioO4iMjMO+fUmQyaqgowMMHOiAkJCOGD++I9q1sxC7TCJqpjRy6BYAfvnll4eCnkwmg6mpKX766Sc899xziuPt2rXD9OnTsWjRogbdm0O3RPQkiopk2L07HpGRcfjzz3iUlFQAANzdWyMkpCNCQjryebxE1OQ0auj2cXJyclBZWQlLS8taxy0tLRu8wnfz5s04evQo9PT00L17d4wfP74xSiUiLWRmZoDJk7tg8uQuKC+vxP79SYiMvIWdO+/ggw9O4IMPTqBTp1aK0Nevnx1DHxGpBY0IejXq+sHZ0B+mEydOxMSJE1VdEhE1M0ZGEgQHt0dwcHtUVFTh6NFUREbGYdu2OHz66V/49NO/4OhohvHjO2L8+A4YPLgtJBLOIyYicWhE0LOxsYFEIkFeXl6t43l5ebCzs1P5+4WHhyu2iAkMDORcPSKqk76+Hvz8nOHn54wVK/xw5kw6IiNvITIyDt98cwHffHMBlpZGGD26HcaN64jhw51hasptW4joyUmlUkilUgDVU9vqoxFz9IDqxRiDBw/GsmXLAAAFBQWwtLSstRjjaXGOHhGpgiAIuHQpGzt23Mb27bcRE5MFoLo3MCDAGWPHdkBwcDu0bm0qcqVEpMkakls0ZjxhwYIFWLduHXJzcwEAK1asgJubG/z8/ESujIioNh0dHbi7t8bChYNw8eJ0JCS8jOXLfTFwoD12747HSy9JYWf3LQYP3oDPPz+LuDjNfGwkEak/tenRKysrw8iRI5GRkYHExER4enoiNDQUYWFhimtWrVqFH374AUZGRk+0YXJ92KNHRI0tL68Mf/4Zjx07bmPv3kTFCt5u3awwblwHjB3bAf362UFXl4s5iOjxnvoRaM0Ngx4RNaXy8kpERydh+/bb2LnzDrKySgEADg4tMGZMe4wb1wHDhjnBwEBP5EqJSB0x6CmJQY+IxFJVJceZM+mKeX01j2MzMzNAUJArRo9uj+HDnTmvj4gUGPSUxKBHROrixo1cbN9eHfrOnPlnv9A+fWwxYoQLRoxwhaenPfT12dtH1Fwx6CmJQY+I1FFGRgmk0gTs3ZuIffsSkZdXDgBo2dIA/v7OGDHCFYGBLnBy4s8touaEQU9JDHpEpO6qquQ4fz4Te/dWB78zZ9Ihl1f/GO/a1RIjRrhixAhXDB3aFkZGGrFVKhE9IQY9JTHoEZGmycsrw4EDSdi7NxFSaSLu3i0GABgbS+Dj44jAwOph3k6dWvGxbERahkFPSQx6RKTJBEFAbGyOorfv2LFUVFTIAQAuLi0VvX2+vk4wM+MTOog0HYOekhj0iEibFBfLcOhQCvbuTcCePQlISCgAAEgkuvDyckBAgAv8/JzQr58dn8dLpIEY9JTEoEdE2koQBNy+na9Y1HHoUDJKSysBVC/q8PFxhL+/M/z8nNC1qxWHeYk0AIOekhj0iKi5uH+/EqdPpyM6OgkHDiTjr7/SUVVV/evA3t4Ufn7O8Pd3gp+fM9q2NRO5WiKqC4Oekhj0iKi5Kiy8jyNHUv8Ofkm4ejVXca5zZ0v4+TnB398ZPj6OaNXKSMRKiagGg56SGPSIiKqlpxfj4MFkREcn48CBJKSkFAEAdHV10LevrSL4eXm14TYuRCJh0FMSgx4R0cNq5vcdOJCE6OgkHDyYgnv3qjdtNjKSwMvLQTG/r08fW+jpcWEHUVNg0FMSgx4RUf2qquSIicn6O/gl49ixNJSXVy/ssLAwhLe3I3x9nTBsmCO6d7eGri4XdhA1BgY9JTHoEREpr7y8EqdO3VUEv3PnMhQLO2xsjDFsWHXo8/V1QseO3LiZSFUY9JTEoEdE9PQKC+/j2LFUHDyYjEOHUhATk4Wa3zQODi0UvX2+vk5wcTEXt1giDcagpyQGPSIi1cvLK8ORIzXBL7nWil4Xl5Z/B7/q8NemDbdyIWooBj0l1XzD5syZg+DgYAQGBopdEhGR1snMLMHhwymKHr+4uHuKc506tVL0+Pn4OKJ1a1MRKyVSX1KpFFFRUYiIiGDQayj26BERNb3U1CIcOpSMgwerv5KTixTnevSwVgQ/b2/u4Uf0IPboKYlBj4hIXIIgICGhAIcOpSiGetPTSwAAOjpA79628PV1xLBhThgypC3MzAxErphIPAx6SmLQIyJSL4Ig4ObNPEXwO3w4BTk5ZQAAPT0deHjYKeb4DRrkABMTfZErJmo6DHpKYtAjIlJvcrmA2NgcRW/fkSOpKCi4DwAwMNDDwIH2GDbMCb6+ThgwwB4GBnoiV0zUeBj0lMSgR0SkWaqq5Lh4MUsR/I4dS0NJSQUAwNhYgsGD2yiCX9++tpBI+NQO0h4Mekpi0CMi0mwVFVU4ezZDsaL3xIk03L9fBQAwMzPA0KFtFXv49erVmk/tII3GoKckBj0iIu1SXl6J06fvKoLf6dPpqKyUAwBatTKCj48jhg1zhJ+fE7p2teJTO0ijMOgpiUGPiEi7lZTIcOLEXcVQ77lzmZDLq38N2tubws/PGX5+TvDzc4KjI38PkHpj0FMSgx4RUfNSUHAfR49WP7XjwIEkxMbmKM516tQK/v7VwW/YMCfu4Udqh0FPSQx6RETNW0ZGiSL0HTiQhJSU6s2bdXV10KdPa/j7O8Pf3xmDBjnA2JhbuZC4GPSUxKBHREQ1BEHA7dv5iI6uDn2HDqUgL68cAGBoqIfBg9vAz88Z/v5O6NPHFnp6XNFLTYtBT0kMekRE9ChVVXLExGQhOrq6x+/YsTSUl1cCACwsDDFsmJNifl/nzpZc2EGNjkFPSTXfsDlz5iA4OBiBgYFil0RERGqqvLwSp07dVQS/s2czFAs72rRpoRjmHT7cGa1bm4pcLWkbqVSKqKgoREREMOg1FHv0iIjoSeXnl+PIkVQcOJCE6OgkXL+epzjXt68tRoxwxYgRLvD0dODGzaQS7NFTEoMeERGpSlpaEfbvT8LevQnYty8J9+5Vz+8zNzeEv78TRoxwRWCgC7dxoSfGoKckBj0iImoMVVVynD2bgb17EyCVJuLMmXTU/Pbt3t1KEfqGDGkLIyOJuMWSxmDQUxKDHhERNYXc3DIcOFDd27d3byIyMkoAVD+fd9gwx7+HeV3RoYMFF3XQIzHoKYlBj4iImpogCLh8OVsR+o4fT1M8pq1dO3NF6Bs2zBEtWhiIXC2pEwY9JTHoERGR2IqKZDh4MPnv4JeAxMRCAIC+vi6GDGmLUaPaYdy4DmjXzkLcQkl0DHpKYtAjIiJ1IggC4uLuYe/eROzdm4BDh1IUe/f17GmNsWM7YNy4DujTx5ZDvM0Qg56SGPSIiEidlZZW4MCBJOzYcRs7d95BTk4ZAMDR0QxjxrTHuHEd4e3dFvr6eiJXSk2BQU9J3DCZiIg0RVWVHCdP3sWOHbexfftt3LmTD6D6KR1BQdXDuyNGuMLMjPP6tBE3TH4C7NEjIiJNJAgCrl7NwY4dd7B9exzOncsEABgY6MHPzwnjxnXAmDEdYGfHJ3RoE/boKYlBj4iItEFqahF27qzu6Tt0KAWVlXLo6AADBthj3LgOGDeuIzp3thS7THpKDHpKYtAjIiJtk59fjj17ErB9+23s3h2P4uIKAECXLpZ45pkumDatG1fwaigGPSUx6BERkTa7f78Shw6lYPv229i2LQ5ZWaUAAC+vNnjuuW6YNKkzWrUyErlKaigGPSUx6BERUXNRWSnH/v2JWLv2GrZvv42yskoYGOhh9Oh2eO65bggKagcDA67eVWcMekpi0CMiouaosPA+IiPjsHbtNRw6lAxBACwtjTB5cmc891x3eHrac58+NcSgpyRur0JERM1damoR1q+/hrVrr+Hq1VwAQIcOFpg2rRumTeuG9u0txC2QAHB7lSfCHj0iIqJqgiAgJiYLa9dew++/X0dmZvV8vkGDHBTz+SwtjUWusnljj56SGPSIiIgeVlkpx4EDSVi79hq2bYtTzOd77rluWLCgH7p0sRK7xGaJQU9JDHpERESPV1QkQ2TkLXz//WWcPHkXADBmTHu89VZ/eHm1Ebm65oVBT0kMekRERA138mQaPvvsLHbsuA1BqB7WffNND4wZ0wG6uly80dgY9JTEoEdERKS8Gzdy8cUX5/Dbb9cgk1Whc2dLLFjQD9OmdYORkUTs8rRWQ3KLbhPXpBHCw8MhlUrFLoOIiEgjdOlihTVrApGY+DLefXcAMjJK8PLL++Di8j0++eQM7t0rF7tErSOVShEeHl7vdezRewB79IiIiJ5eUZEMP/xwGV9+eR6pqUVo0UIfL7/shnnz+sLRkb9fVYU9ekRERNTkzMwMMG9eP8THv4TffhsJV1dzfPXVeXTu/BO++eYC5HL2MTUVBj0iIiJqFPr6enjuue64dOl5/PlnCOztTfHf/x6Er+8fiI/PF7u8ZoFBj4iIiBqVjo4OgoLa4dKl5zF7tjuOHEmFm9uvWL06BpxB1rgY9OrAxRhERESq16KFASIi/HHgwERYWRlh1qwDGD58C5KTC8UuTeNwMcYT4GIMIiKiplFYeB/z5x/GDz9cgZmZAb76ahhmzuwBHR3uv9dQXIxBREREaqllS0OsWROIPXsmoGVLA7z0khSjRkUiI6NE7NK0SrPq0YuMjMSxY8cgCAJ8fX0xZsyYWufZo0dERNT08vPL8frrh/Drr1cxYIA9jh9/BhIJ+6Lq05Dc0my2qy4qKsKiRYsQE1M98dPd3R1+fn4wNTV96Nrw8HAEBwcjMDBQhEqJiIiaFwsLI/zyy0hYWxvjiy/O4fPPz+KddwaIXZZak0qliIqKqvc6jYrLOTk5mDJlClxdXes8v2rVKvTu3RuDBg1CUFAQUlJSFOdOnz6Njh07QldXF3p6emjXrh3Onj1b532WLl3KkEdERNTEFi/2Qpculli48CRiY7PFLketBQYGYunSpfVepzFBLzY2FqGhobCysqpzKXZkZCQWL16M/fv34+TJk/D09MTYsWMhl8sBVIdEMzMzxfVmZmbIzuY/IiIiInVhbKyPX38dicpKOaZP34OKiiqxS9J4GhP0rK2tIZVK4eHhUef5zz//HNOmTYO1tTUAYO7cubh06RKio6MVry8qKlJcX1RUBBsbmzrvxe1ViIiIxNG/vz3eeac/Ll7MwtKlZ8QuR201dHsVjQl6dnZ2MDQ0rPOcTCbD2bNn4ebmpjhmYWEBZ2dnnDhxAgDg6emJuLg4yOVyVFVV4c6dO48MjRy6JSIiEs8HHwxEz57WWLLkNGJissQuRy01dOhWKxZj5OTkoLKyEpaWlrWOW1paIj09HUD1UO2iRYvw+uuvQxAELF26tM6FGERERCQuQ0MJVqzwg4/PH9iy5Rbc3VuLXZLG0oqgV6OuTRYfPBYSEoKQkJCmLImIiIiegLl59SiekZGeyJVoNq0IejY2NpBIJMjLy6t1PC8vD3Z2dkrfLzw8HAYGBgCqu0Y5jEtERNS0SkoqAFQ/No3+IZVKFesIZDJZvddrRdDT19eHh4cHLl++rDhWUFCApKQkeHl5KX2/pUuXcsNkIiIiERUXV4cYU1N9kStRLw92QBUWFiIiIuKx12vMYoz6LFiwAOvWrUNubi4AYMWKFXBzc4Ofn5/IlREREZGy/unRY9B7GhrTo1dWVoaRI0ciIyMDGRkZ8PHxQWhoKMLCwgBUz7/LyMhAQEAAjIyMYGFhgZ07d0JXV2uyLBERUbPBoVvV0JigZ2xsjMOHDz/2mtmzZ2P27NlNUxARERE1mosXq7dVcXIyq+dKehx2dxEREZFaEQQB27bFwdm5Jdzc6n64ATUMgx4RERGplUuXspGYWIhx4zrUuXUaNRyDHhEREamV7dvjAADjxnUQuRLNx6BHREREamXbttuwsjLG4MFtxS5F4zHoERERkdq4dSsPly9nY8yY9pBIGFOeFr+DREREpDY+/PAUAGDGjO4iV6IdGPSIiIhILcTEZOH3369jxAgXDB3qKHY5WoFBj4iIiNRCePgxAMAnnwwVuRLtwaBHREREojtyJAV79iTgmWe6wN29tdjlaA0GPSIiIhKVIAh4552jkEh0sXjxYLHL0SoMekRERCSq33+/jtOn0/HKK25o395C7HK0CoMeERERiSYhIR+zZx+Ara0JFi4cJHY5WkcidgFERETUPFVUVOHZZ/9EYaEMmzePgY2NidglaR326BEREZEoPvzwFE6fTsf8+f0wfLiL2OVoJQY9IiIianKHDydj6dLT6NPHFkuXDhG7HK3FoEdERERNKje3DNOm7YaJiT42bBgFAwM9sUvSWgx6dQgPD4dUKhW7DCIiIq0jk1Vh8uQopKUVY8UKX3TqZCl2SRpJKpUiPDy83ut0BEEQmqAejVBYWAhzc3MUFBSgZcuWYpdDRESkVQRBwIwZe/Dbb9fwyiu98O23/tDR0RG7LI3VkNzCHj0iIiJqEgsXnsBvv13D6NHtsHKlH0NeE2DQIyIiokb3ww+XsXjxafTrZ4uNG0dDImEEaQr8LhMREVGj2rMnHq++uh+urubYtSsEpqYGYpfUbDDoERERUaO5cCETEydGwdzcEHv2TICtranYJTUrfDIGERERNYqYmCwEBGxGZaUcUmkoOnfmCtumxh49IiIiUrmLFzPh57cJJSUV2LFjHLy82ohdUrPEoEdEREQqdeFCJvz8NitCXmCgq9glNVscuiUiIiKVOX8+AwEBW1BWVomdO8fzGbYiY9AjIiIilTh3LgMBAZtRXl6FqKjx8Pd3FrukZo9Dt0RERPTUzpxJh78/Q566YdAjIiKip7J3bwJ8ff+ATFaFXbsY8tQJg14dwsPDIZVKxS6DiIhI7a1ffw3BwdtgaChBdPQk+Pkx5DUFqVSK8PDweq/TEQRBaIJ6NEJDHg5MRERE1b766hzeeOMw2rY1g1Q6Ad26WYtdUrPSkNzCxRhERESkFEEQ8M47R7Fs2Vl07WoJqTQUjo7sIFFHDHpERETUYBUVVXj55X349derGDjQAbt2jYelpbHYZdEjMOgRERFRgxQXyzB5chR2707AqFHtsGlTMExM9MUuix6DQY+IiIjqlZpahODgbYiJycKMGd3x/ffDoa+vJ3ZZVA+uuiUiIqLHungxEwMGrEdMTBYWL/bCTz+NYMjTEOzRIyIiokfatesOpkzZhYoKOX7/fRSeeaar2CWREtijR0RERHX65psLGDt2O4yMJDh4cBJDngZi0KsDN0wmIqLmrKpKjrlzo/Hf/x5Ehw4WOH36WXh5tRG7LHoAN0x+AtwwmYiImrvCwvt45pld2L07AT4+jti6dQy3T1FT3DCZiIiIGiw+Ph9jxmzD1au5mDGjO777bjgMDLjoQpMx6BERERGOHk1BSMhO5OWV4bPPvDF/fj/o6OiIXRY9JQY9IiKiZu7HH69g1qz9MDTUw86d4zF6dHuxSyIVYdAjIiJqpqqq5HjzzSP46qvzcHFpiZ07x6NnTxuxyyIVYtAjIiJqhh5cdDF4cBtERo6FjY2J2GWRinF7lTpwexUiItJmd+7kY+DA37F7dwJeeKEHDhyYyJCnYbi9yhPg9ipERKTtDh9OxoQJO3HvXjmWLeOiC03G7VWIiIhI4fvvL2HOnGgYG0sQFTUeo0Zx0YW2Y9AjIiLScpWVcrzxxiGsWHERrq7miIoaj+7drcUui5oAgx4REZEWy88vx+TJu7BvXyKGDm2LrVvHwNqa8/GaCwY9IiIiLRUXdw/Bwdtw82YeXnqpJyIi/Pmki2aGq27rwFW3RESk6Q4fTsaAAesRF3cPy5f74vvv+TgzbcJVt0+Aq26JiEgb/PzzFbzyyn4YGUmwaVMwRoxwFbskagQNyS3s0SMiItIScrmAd945ipkzpXBwaIGTJ59hyGvmOEePiIhIC5SWVuC553YjMjIOAwbYY8eOcbC1NRW7LBIZgx4REZGGS08vxpgx23DuXCYmT+6Mn38eAWNjfbHLIjXAods6cDEGERFpisuXs9G//3qcO5eJ99/3xO+/j2bIawa4GOMJcDEGERFpkoMHkzF+/HaUlVXihx8CMX16d7FLoibER6ARERFpqY0bb2D69N0wNpZAKg3FsGFOYpdEaqhZDd3GxsbC29sbS5YsEbsUIiKiJ/bll+fwzDO7YGNjguPHn2HIo0dqlkGvPpyjR0RE6kguFzB//iHMn38YXbta4tSpZ9Gzp43YZZEIGjpHT6OCXk5ODqZMmQJX17r3BFq1ahV69+6NQYMGISgoCCkpKbXOT5kyBbq69Td56dKlCAwMVEnNREREqnD/fiWmTv0TX355Hl5ebXD8+DNwcuJ88uYqMDAQS5curfc6jQl6sbGxCA0NhZWVFepaPxIZGYnFixdj//79OHnyJDw9PTF27FjI5XIRqiUiIlKdoiIZgoIisXHjDYSEdMT+/aGwtDQWuyzSABoT9KytrSGVSuHh4VHn+c8//xzTpk2DtbU1AGDu3Lm4dOkSoqOjlX4vDt0SEZG6yM8vx/Dhm3HwYDJmz3bHpk3B3D6FtG/o1s7ODoaGhnWek8lkOHv2LNzc3BTHLCws4OzsjBMnTij9Xhy6JSIidZCTUwpf3004fTod77zTHytX+kFPT2N+dVMjaujQrVZsr5KTk4PKykpYWlrWOm5paYn09HTFnzdv3oyjR49CT08P3bt3x/jx45u6VCIiogZJTy9GQMBmXL2ai8WLvfDee57Q0dERuyzSMFoR9GrU9QF48NjEiRMxceLEpiyJiIhIaSkphfDz24y4uHv4/HNvzJ9f97QlovpoRdCzsbGBRCJBXl5ereN5eXmws7NT+n7h4eEwMDAAUN01ymFcIiJqKvHx+fD13YSkpEJERPhh9uzeYpdEakQqlSrWEchksnqv14qgp6+vDw8PD1y+fFlxrKCgAElJSfDy8lL6fkuXLuUj0IiIqMnduJELf//NSE8vwc8/j8CMGT3ELonUzIMdUIWFhYiIiHjs9Vozo3PBggVYt24dcnNzAQArVqyAm5sb/Pz8RK6MiIiofpcvZ2Po0I3IzCzF77+PYsgjldCYHr2ysjKMHDkSGRkZyMjIgI+PD0JDQxEWFgYACAkJQUZGBgICAmBkZAQLCwvs3LmzQRskExERiens2XQEBm5FSUkFtm4dgzFjOohdEmkJHaGu3YebqcLCQpibm6OgoIBDt0RE1CSOHUvFqFGRqKyUY/v2cRg+3EXskkhDNCS3aEyPHhERkbbZvz8RY8duh56eDvbunYChQx3FLom0DMc1iYiIRBAVdQejR2+DoaEeoqMnMeRRo2DQIyIiamLVz6zdgZYtDXDo0GT0728vdkmkpRj0iIiImtB3313Cs8/ugq2tCY4enQJ399Zil0RajEGPiIioiXz66Rm8+up+tGtngePHn0HXrlZil0RajosxiIiIGpkgCHj33WP43//+gpubDaTSUNjZmYpdFjUDDHpERESNqKpKjjlzovHdd5cwcKAD/vwzBK1aGYldFjUTDHpERESNRCarwvTpu/HHHzcxfLgLIiPHwNTUQOyyqBlh0CMiImoExcUyhIbuhFSaiAkTOmL9+lEwNOSvXWpa/BdHRESkYjk5pRg1KhJ//ZWBl17qiW+/DYBEwvWP1PT4r46IiEiFkpMLMWTIRvz1Vwbee88T338/nCGPRMMePSIiIhW5di0HgYFbkZpahOXLfTF3bh+xS6JmjkGPiIhIBU6duotRoyJRVCTD+vWj8OyzXcUuiYhBj4iI6Gnt3h2P0NCd0NXVwa5d4xEY6Cp2SUQAOEePiIjoqfz00xWMGbMNJib6iI6exJBHaoVBj4iI6AkIgoDFi0/hxRelcHQ0w4kTz2DAAHuxyyKqhUGvDuHh4ZBKpWKXQUREaqqyUo5XX92PDz44AXf31jh58ll07mwpdlnUjEilUoSHh9d7nY4gCEIT1KMRCgsLYW5ujoKCArRs2VLscoiISA2VllZgypRdiIq6A39/Z2zdOgYtWxqKXRY1Qw3JLVyMQURE1EA5OaUIDt6G06fTMW1aN/z4YyAMDPTELovokTh0S0RE1AAJCfnw8tqA06fT8fbb/fHrryMZ8kjtsUePiIioHn/9lY7g4G3Izi7FN9/44rXXuBEyaQYGPSIiosfYseM2nnlmFwAgMnIsxo3rKHJFRA3HoVsiIqJHWLHiAsaP344WLfRx6NBkhjzSOOzRIyIi+he5XMCbbx7Gl1+eR6dOrbB79wS0b28hdllESmPQIyIiekBZWQWee243tm6Nw+DBbbB9+zhYWRmLXRbRE2HQIyIi+lt2dinGjt2OU6fuYtKkzvj115EwMuKvStJcnKNHREQE4Pr1XAwYsB6nTt3FW295YMOG0Qx5pPH4L5iIiJq96OgkTJiwEyUlFfj+++F4+WU3sUsiUgkGPSIiatZ++OEyZs06AFNTfezZMwH+/s5il0SkMhy6rUN4eDikUqnYZRARUSOSywW8885RvPzyPrRt2wInTz7DkEcaQyqVIjw8vN7rdARBEJqgHo3QkIcDExGR5istrcD06dUraz097bFjxzi0bm0qdllESmlIbuHQLRERNSvp6cUYO3Y7zp7NwOTJnfHzzyNgbKwvdllEjYJDt0RE1GxcvJgJD491OHs2A++954nffx/NkEdajT16RETULGzbFodp0/5EVZWAdeuCMHVqN7FLImp07NEjIiKtJggCPvnkDEJCdqBFCwMcOjSZIY+aDfboERGR1rp/vxIvv7wPa9deQ8+e1oiKGg9nZ3OxyyJqMgx6RESklbKySjB+/A6cPHkXwcHtsX79KJiZGYhdFlGT4tAtERFpnUuXstC//3qcPHkXb77pgW3bxjLkUbPEoFcHbphMRKS5tm69hUGDfkd6egl++ikQy5Z5Q0+Pv+5Iu3DD5CfADZOJiDSXXC5g8eJTWLToJGxtTRAZORaDBrURuyyiRsMNk4mIqFkoKZFhxoy92LLlFnr3bo0dO8bB0ZH/wU7EoEdERBotObkQY8duR0xMFiZNqn7ShYkJN0EmAjhHj4iINNjx46no128tYmKysHixFzZuHM2QR/QA9ugREZFG+u67S3jttWgYGOghMnIsxo/vKHZJRGqHQY+IiDSKTFaFuXMP4rvvLsHV1Rzbt4+Dm5uN2GURqSUO3daB26sQEamnjIwS+PpuwnffXYKfnxPOnp3GkEfNErdXeQLcXoWISH2dPZuO8eN3IC2tGG+80Rf/+583JBL2V1Dz1ZDcwk+Ihjp+/Dj8/f3RunVrhIWF4cUXX4Sfnx+uXr1a5/UxMTHw9/fHjBkzAABLly5Fy5YtkZiYWO97ubi41Lpu9erVeOutt1TQCiKihvntt6sYMmQjcnPLsXZtEL74YhhDHlED8FOioQYPHoxp06bByckJK1euxI8//ohRo0Ypgty/ubu7Y9q0aYo/h4eHw9LS8one+9lnn8WCBQue6LVERMqorJRj3rxDeP75PbCxMcHx41MwbVo3scsi0hhcjKFFunXrhuvXr2P58uW4du0aTExMUFBQgOXLl8PMzOyxr01KSsL//d//wdbWFikpKZg6dSqCg4Px5ZdfIjc3F++99x7MzMwQHh6OsLAwFBYW4vDhwwCATZs2Yc+ePbCyssLdu3fxxRdfwMTEBIGBgcjIyMDMmTOxc+dOVFVV4eLFi03wnSAibZCVVYLJk3fh8OEUDB7cBlu2jIGtranYZRFpFAY9FRgzZhvu3Ml/4te3b2+BnTvHP3Ud+/btQ1VVFbZv345Dhw4BAN577z0sXboUn3zyyWNfO23aNCxZsgTe3t4oLCxE+/btcfPmTbzxxhv45ptv8PHHH8PFxQUA8MYbb2DRokUAgJs3b2LhwoWIjY2Fnp4e1qxZgzfeeAMbNmzAxo0b0bFjR4wZMwYffPABIiIinrqNRNQ8nD2bjpCQnUhNLUJYWG988YUPDAz0xC6LSOMw6NUhPDwcwcHBCAwMFLuUeqWkpOD1119HaWkpjI2NMXXqVFy4cAGvv/46ACA7O7veIdqioiIcP34cf/zxB7Zt2waguncwJSWl3tfu378fFRUVmD9/PoDqiaEVFRWK89bW1nB3dwcAzJkz5wlbSUTNyU8/XcHs2QcAAL/8MgLPP99D5IqI1I9UKkVUVFS91zHo1aFmoUJDqaI37kk5Ojri66+/Vvx5/vz56NOnj+KYIAgoLS1t0L3Cw8PRtm1bAEBZWRkMDAzqfY0gCHBxcalVQ3FxseL/GxoaNui9iYhksiq8/vpBfPvtJTg5mSEyciz69rUTuywitRQYGIiBAwfWO1rGxRhaZtSoUTh8+DAqKysBADt37sQXX3zx2NeYmZlhyJAh2L9/PwBALpcjKCgIZWVlAAAjIyNUVVXhyJEjiIuLq/Xa4cOH4+LFiygoKAAAXLp0Cf/9739V3Swi0nJ37xZj2LA/8O23l+Dr64Rz555jyCNSAfboaajjx49j3bp1SE5ORlhYGFauXAkA8PX1xX//+19MmTIFzs7OKCsrw5dffomYmBisW7cOaWlp2Lp1K27evIm8vDwsXLgQq1evxtq1azFv3jzExMSgtLQUb731Flq0aAGgepXtm2++ifv37+Pbb7/F8uXLERcXhzVr1uDll1/G6tWrMX36dHTo0AH5+flYtmwZKisrsXDhQuTl5SEsLAxff/01JBL+cyOih504kYbQ0J3IyCjB/Pn98OmnQ7l1CpGKcMPkB3DDZCKipiMIAlasuIj58w/DwEAXP/44AlOmdBG7LCKN0ZDcwi6WOmjSYgwiIk1UUiLDf/6zH7//fh0dO7ZCZOQY9OjBR5kRNVRDF2OwR+8B7NEjImp8cXH3EBKyA7GxORg7tgN+/XUkzM25cItIWXwEGhERqZUdO26jX7+1uHYtF598MgSRkWMZ8ogaUbMZur1z5w4WLlwId3d3xMbGIjQ0FKNHjxa7LCKiZqGqSo4PPjiBpUvPwNraGFLpWPj7O4tdFpHWazZB7969e5gxYwb8/f2RnZ2N3r17IzU1tc5rOUePiEh1srNL8eyzf+LAgSR4eNhhy5YxcHLi9Biip6GVc/RycnIQFhaGM2fOICEh4aHzq1atwpo1a2BsbAwLCwt89913cHR0fOi6jIwMeHt74+bNm7WOc44eEZFqnTp1FxMn7kRaWjFeeaUXli8fBkPDZtPHQNSotGqOXs1wq5WVFerKppGRkVi8eDH279+PkydPwtPTE2PHjoVcLn/o2m+++QafffZZU5RNRNQsCYKA5cvPY+jQjcjLK8dvv43E6tUBDHlETUxjgp61tTWkUik8PDzqPP/5559j2rRpsLa2BgDMnTsXly5dQnR0dK3rfvvtN7Rt2xZjxox55HuFh4dDKpWqrvg6NPb9m5K2tEVb2gGwLepIW9oB1N+WoiIZpkzZhddfPwRXV3OcOTMVzz3XvYmqU05z+nvRFNrSDqBx2yKVShEeHl7vdRoT9Ozs7B753FSZTIazZ8/Czc1NcczCwgLOzs44ceKE4tjGjRtRUFCA2bNnQyqVKh7x9W9Lly5t9Pl5/IesfrSlHQDboo60pR3A49ty9WoOPDzWYdOmm5gwoSPOnZuGnj3Vd3+85vL3okm0pR1A47YlMDAQS5curfc6jQl6j5OTk4PKykpYWlrWOm5paYn09HQAwLlz5/Dqq69i69at8PHxwaxZs3D//v0Gv0ddf1lPc6wp3qMpjj2KOtUo1t/J075endrSGPVpS1v4WfnnunXrrqF//3W4cycfX37pg5deMkTLloYPXdfQ9+BnRbnvTUOvU/djdVG3fzfq9O+rPlo1WUJHR+eRx/r164f8/PzHvr5m7l9hYeFD56KiojBw4ECVHZPJZA+9j6rfoymOaVNbVN0ObWpLY/y70Za2PE071K3Gp2nL4sU/4MSJXrCzM8WvvwbB09MB4eG/YNCgQU/0HmK2RZ2+18p8bzSxLapuhza1pSHHau792HW1gob5+eefBWdn51rHZDKZIJFIhLVr19Y67urqKixcuLDB905JSREA8Itf/OIXv/jFL35pzFdKSsojs41W9Ojp6+vDw8MDly9fVhwrKChAUlISvLy8GnwfBwcHpKSkwMzMrM7eQSIiIiJ1IQgCioqK4ODg8MhrtCLoAcCCBQsQFhaGt99+G1ZWVlixYgXc3Nzg5+fX4Hvo6uqibdu2jVglERERkeqYm5s/9rzGBL2ysjKMHDkSGRkZyMjIgI+PD0JDQxEWFgYACAkJQUZGBgICAmBkZAQLCwvs3LkTurpasd6EiIiISHlKTI+jBpo0adJD8wiTk5OFkSNHCgMHDhTc3d2FiIiIh14XEREhuLu7CwMHDhRGjhwpJCcnN1HFdfvrr7+E4cOHC4MGDRLc3d2F4cOHC9nZ2YIgaE57cnJyhOeee07o06ePMGTIEGHw4MHCiRMnFOfVvR3Z2dnC5MmTBRcXl4fOqaL2htyjMdtx+/ZtYebMmYq/m/79+wu7du1S23Y8ri0PunLliiCRSISff/75oXOa0haZTCa89957Qv/+/YUhQ4YIPXr0EL799luNbMvmzZuFvn37CkOGDBHc3d2FBQsWCDKZTK3aIpfLhZ9++kkYOnSoMGzYMMHd3V145ZVXhHv37ilVg9jtaEhbNOlz35C/lxrq+rln0FOx6OhowcLColbQq6qqEtzd3YUlS5YIgiAIWVlZQuvWrYXIyEjFNVu3bhXs7OwUQerDDz8UevfuLVRVVTVp/TWuXbsmuLi4CNeuXRMEoboNEyZMEJKSkjSqPc8++6zg5eWl+KG+YsUKwcLCQigsLFT7dly5ckXw9vYWZs+e/dB/OKii9obco7HbMX/+fOE///mPIJfLFTVLJBLhwoULateO+tryIF9fX8HU1PShH/ia1JYXXnhBCAsLU/zdREdHC2+++abGteX69euCnp6e8OeffwqCIAiFhYWCq6ursHjxYrVqS1FRkWBqaircvHlTEARBKCkpEQYMGCBMmDChwTWoQzsa0hZN+tzX15YHqevnnkFPhWQymeDh4SF8/PHHtX7YSKVSQU9PTygoKFAcmzdvnjBo0CDFnwcOHCgsWLBA8ed79+4Jurq6wr59+5qk9n+bNGmS8O6779Z5TpPa0717d+Gtt95S/Pnq1asCAOHs2bNq34709HShvLy8zpXmqqi9Ifdo7HZs2rRJ8QO0hqWlpfDpp5+qXTvqa0uNtWvXCvPmzROcnZ0f+oGvKW25du2aYGRkJOTn5z/y9ZrSls2bNwsAhNLSUsWxiRMnCqNGjVKrtpSXlwufffZZrWPffPONYGxsLMjlco36zNfXFk363NfXlhrq/LnnBDYV+uqrrzBx4sSHVr+cOHECzs7OtR447O7ujrNnz6KioqLBT/ZoKoIgYO/evTAzM8OkSZMwaNAgjB07FjExMQA0qz0hISHYu3cvCgoKAFQ/HcXGxgadO3dW+3Y87mkwqqi9vns0RTsmTpyITp06Kf4sl8tx//592NraAmjYU2+aqh31tQWo3tPqyy+/xKJFix46p0lt2bNnD5ycnPD777/Dx8cHgwcPxuLFixU1aFJbhgwZAmtra/zxxx8AgLS0NBw7dgxDhgxRq7YYGhpiwYIFtY6VlpaidevW0NHR0ajPfH1t0aTPfX1tAdT/c68xizHUXVpaGjZv3oyTJ09i/fr1tc6lp6fX+dSOiooK5OTkQBCEep/s0ZRycnJQWFiIzz//HEePHkX37t3x448/wsvLCzdu3NCo9nz00UcoLCyEs7MzbGxsYGJigsOHD8PMzEyj2vFvqqi9vnvY29s3biPq8Oeff8La2hqTJk0C0LCn3qhTOz744AO88cYbtX5g19Cktty5cwfx8fG4cOECDh48iIKCAvj4+CA7OxvffPONRrXF1tYWUqkUkydPxieffILMzEz897//xVtvvQVAff9eBEHAli1bFHVq8mf+3235N0363NfVFnX/3LNHT0XeeOMNfPLJJ9DX16/z/KP25Xvw+OOe7NGUah4NFxwcjO7dqx9E/uKLL8LS0hI///zzY+tSt/a89tprOHnyJOLj4xEXF4c333wTzzzzDPLy8h5bj7q1oy6qqL0h92gqubm5ePfdd7Fx40aYmJjUW4+6tSM2NhaXL1/GtGnTHnudJrTl/v37qKysxHvvvQddXV20atUKr732GlavXo3KysrH1qRubbl9+zb8/f2xcOFC3Lx5E/Hx8di/fz++//77emsSsy1ff/01nJycMGvWLKVqULd2AHW3pYamfe7/3RZN+Nwz6KnAwYMHIQgC/P396zxvb2+vCBY18vLyoK+vDysrK9jY2EAikdR5jZ2dXaPV/SitWrWCjo7OQ0PQbdu2RVJSksa0p7S0FKtWrcJrr72m+K+ladOmobi4GBERERrTjrqoovb67tGUioqKEBoaii+++AKenp6K45rUjrlz5+Lrr79+5HlNakvN5+XBnwGOjo6oqKhAenq6RrXlhx9+QKtWrRS/iC0tLTFr1iy8/vrrkMlkatmWjRs34uDBg1i/fr3iF72mfubraksNTfvc19UWTfjcM+ipwJ49e5CYmAgfHx/4+Pjg008/Vez1N3/+fHh5eSExMRFFRUWK11y6dAkeHh7Q19dX2ZM9VMXU1BTdunVDRkZGrePZ2dlwdHTUmPZUVlZCLpfDwMCg1nEDAwPk5eVpTDvqoora67tHUykqKsLYsWPx9ttvIzAwEPfv30dcXByAhj31Rh3akZaWhtTUVMydO1fxcyAjIwOffvopfHx8cOXKFY1pCwD0798fAGr9DMjOzoZEIoGdnZ1GtaWioqLOnwHl5eUoLS1Vu7b88ccfWLt2LbZs2QIjIyPExcXh/v37GvmZf1RbAM373NfVlqSkJM343KtkSQfV8u+VXzVLp5cuXSoIQvV+T7a2tg8ti7e3txdycnIEQRCExYsXC+7u7qJtr/LDDz8IlpaWQmpqqiAI1auCTExMhPj4eI1qz9ChQ4WRI0cqtlc5cuSIoKurK+zdu1dj2lHXSkJV1N6QezR2OwoLC4UhQ4YIGzZsEIqKioSioiLh6tWrwvPPP6+27XhUW/6trtV3mtKW8vJyoX379ooV6/fv3xe8vb2FWbNmaVxboqOjBV1dXeHIkSOCIFTvjlCzX5m6tWXjxo3C0KFDhaysLMXnYerUqUJCQoLGfeYf1xZN+9w/ri3/po6fewY9FRs1apTQuXNnwdDQUPD29hY2b94sCELDN7rs3bu32myY/NlnnwndunUTBg8eLPj4+AgnT55UnNOU9qSlpQnTpk0T+vTpIwwePFjo06eP8MsvvyjOq3M7SktLBW9v71r/nlasWKHS2ptiw9HHtWPOnDl1PqD7wR/46tKO+tpSY/PmzYK3t7dgaGgodO7cudY2HprUlri4OCEgIEDo06ePYnuIsrIyjWzL2rVrFRsm9+nTR3jmmWcU/xGrLm1JT08X9PT06vw81AQKTfnM19cWTfrcN+TvRRDU+3OvIwiC8PT9gkRERESkbjhHj4iIiEhLMegRERERaSkGPSIiIiItxaBHREREpKUY9IiIiIi0FIMeERERkZZi0CMiIiLSUgx6RESkNLlcjpKSkqe6x4OPfCKixsGgR0RPxcXFBZaWlrCzs1N86ejowMDAoNaxFi1aYMaMGWKXSyqQmJiIAQMG4ObNmwCAjz/+GHZ2dtDT04Oenh7s7Ozw8ccfK65v3749TExMFM/K3bp1KwCgX79+iI6OFqUNRM0Fgx4RPbXIyEhkZGQovgBg0KBBtY4tWLBA5CrV06JFi6Cjo4PExESxS2mQ9PR0DBkyBNOnT0efPn0AAO+99x4yMjLg6OgIR0dHZGRk4L333lO8Zt26dWjZsiW2bduGjIwMTJgwAQDw888/IzQ0FIcPHxajKUTNAoMeERE12OzZs+Hs7IzXXnutQdcfOXIE48aNw2+//Ybg4OBa5wYNGoRXXnkFzz//PEpLSxujXKJmj0GPiJ5KdHQ0+vfvX+91YWFh+OSTT5qgImossbGx2L59O+bPn9+g6/ft24dJkyZh06ZNGD58eJ3XzJs3D6mpqfjtt99UWSoR/Y1Bj4ieSs38q/pYW1vD3t4ecrkcX375Jbp27QpLS0vY2tri2WefRXx8vOLamjlfOjo6mDFjBrZs2YJevXrBzMwMvr6+iIuLg1wux9tvvw0nJyfY29vjzTffRGVlpeIeo0aNgqWlJXR0dLB69WrMmzcPrq6uaNmyJTw8PHDo0KGHaszPz8fcuXPRpk0bWFpawtXVFW+99VatRQcP3venn37C0qVL0aVLF+jr6yuGYLOysvDuu+/Czc0N9vb2sLCwQGBgIM6dO1fr/dzc3PD5558DADw8PBTzGfPy8tC5c2e0aNGi1rBuSkoK7OzsYGBgABcXF8V9fvvtN8UcOR8fHxw/fhxeXl6wsrKCjo4OFi1aVOva3r17w9LSElZWVggODkZMTEy9f38A8McffwAAfH196712586dmD59Onbs2AFvb+9HXmdra4vu3btj48aNDaqBiJQkEBGpGADB29u7znMvvviiYGZmJuzfv18QBEHIyMgQhg0bJtjY2AipqakP3adr167C+++/L8hkMiEjI0Po0KGD0KNHD+Hzzz8XTpw4IQiCIGzatEkAIHz33Xe1Xn/o0CEBgGBraytEREQIMplMKC4uFp599lnBwMBA8XpBEISSkhLBzc1N6N69u3D79m1BEATh/PnzQtu2bYUhQ4YIlZWVD93Xzc1N+PHHH4XKykrh2rVrgp6enpCQkCBERUUJJiYmwuHDhwVBEISCggJh6tSpQsuWLYX09PRaNS5cuFAAICQkJDz0vXrUOW9vb8HZ2fmh652dnQVXV1dh8uTJQl5eniCTyQRvb29h4cKFgiAIwuLFiwU9PT1hw4YNQlVVlVBQUCBMmTJFMDExES5evFjn39eDfHx8BDs7u0eed3Z2FpydnYVNmzYJdnZ2wvnz5+u9pyAIwqRJkwQDAwOhoqKiQdcTUcMx6BGRyj0q6B09elQAIHzwwQe1jsfFxQkAhDlz5jx0H1tb21oBoCb8vPXWW7WudXJyEgICAmodqwlk/z6ek5MjGBgYCJ6enopjH330kQBAOHjwYK1r16xZIwAQNm/e/NB9g4KCal37008/CYWFhcKxY8ceamNxcbEgkUiE8PDwWsdVHfQkEomQlpamOHbq1CnhzJkzQnx8vKCnpydMnz691mvy8/MFExMTYdSoUQ/d79/atGkj9OrV65HnnZ2dBUNDQ0FPT0948cUX671fjblz5woAFAGbiFSHQ7dE1GQ2bdoEAA/N1+rQoQNatmwJqVT60Gv69u0LiUSi+HObNm0AVG/N8aA2bdogNTW1zvf18fGp9WcrKyt4eHjg9OnTyMrKUtRmZGSEIUOGPPT+AOqsbejQobX+/MILL8DMzAyDBw/Ghx9+WOucqakp7O3tcf369TprVJUOHTrAwcFB8WdPT0/0798fkZGRqKqqeuh7b25ujg4dOiA6OrrW0HddcnNzYWpq+thrTE1N4eDggB9//FExLF2fmnvm5uY26HoiajhJ/ZcQEanG7du3AQDjxo2Dnp5erXOCIODevXsPvcba2rrWn/X19es8bmBg8MiVm7a2tg8ds7e3BwAkJCSgdevWuH37NmQyGdq2bftQXaampsjJyXnoHjY2NnW+X1VVFX788Uf88ssvSPr/9u4vpKk3jAP41w1LDRe69DVi/RtpMbqQEV5UlBQFSQlJu81I6yK0YhBYICQLuhmh0D8RLEwpCPoDsYwou4hEIRqFCCpiGFGrtgR1f9qe38WPreamnaUZjO/n8pznPO9zzm4eznved2NjCIfDAACPx4P169cnvWahzFZT9NnX1dUlLKaYnp6GXq/Ht2/fUFhYOGvuYDAY13Qnk5ubi+7ubmzfvh1nzpxBQUEBDh8+POc10ZzBYHDOOCJKHRs9Ilo0IgIA6OnpgcVi0XRNRkZGSsdTreVX+fn5sX0AtdDpkk+K2O12NDc3o7m5GceOHUNWVhYAxC2gmI9IJJJyTdH77ejoQEVFxR+Nm5OTg1Ao9Nu4kpISuFwulJeXo6amBitWrJhzzGiDp2VRDxGlhlO3RLRoiouLAQAfPnxIOPf+/Xv09fX9lXE/ffqUcOzjx48AgHXr1gEANmzYgK9fvyIQCCTEut1uDA0NaR7vxo0b2LRpE+rr62NN3p+IvumaOaXq8XhSzjXXs//8+TNevHjx2xwrV66Ez+fTNJ7VasXDhw+h1+tx6NAhvHz5ctbYaM5fp5yJaGGw0SOiRWOz2QAA9+/fTzhXV1eHW7du/ZVxZ26l4vF40N/fj7KysthUpc1mg4jgwYMHcbGBQAB79uzB27dvNY+3dOnShDeOwWAwacMZ/T4t2sx1dHTg2bNnAH42Pr82Zx6PByMjI5priTp48CD0en3SZ3/hwgU4nc7f5rBYLEkbxdns3LkTd+7cQTAYxP79+/Hu3bukcePj4zAajSgqKtKcm4i0YaNHRItm27ZtOH78ONrb23Hv3j2ICEKhEJxOJ3p7e//a36SNj4/jypUrCIVCmJycxMmTJwEgbrGA3W5HaWkpGhoaYg2J1+vFkSNHUFJSkvCvDnOpqqrCwMAAWltbISLw+/04deoU/H5/QuzGjRsBAAMDAwgEArh48SK+f/8O4P9FK0uWLMHly5cRCAQwNTWFs2fPJnxHqMXatWvhcDjw+PFjXLt2DeFwGJFIBF1dXbh582bcXnuz2bVrFyYmJjA2NqZ53MrKSrS1tcHn82Hv3r1Jr3W73di9e3cqt0NEWv27Bb9ElG7q6+tFKSUAJDMzU5RScvv27biYSCQiLS0tYrFYxGg0ypo1a8Rms8ng4GAsprW1NZYnKytLlFLy48cPOXDggBgMBgEgeXl5cuLECRkdHRWllGRmZopOpxOllLhcLhH5uQ1KW1ubNDY2itlsltzcXLFarfL06dOE+n0+n5w+fVpMJpMopcRsNovdbhev1xuLqa6ulry8PAEgBoNBlFLy5s2buDyTk5Nit9vFZDKJ0WiU0tJSuXr1qqxevTr2XKL3Gw6H5ejRo1JQUCCrVq2S2tpaCYfDsVyPHj2SzZs3y/Lly2XLli3y/Plz2bFjR+xeOzs7xeVyiVJKdDpdLH9DQ0PS36irq0usVqvk5+eLyWSSffv2SV9fn6bf98uXL5KdnS2XLl2KO+5wOGLjR+tyOBxxMU6nUwDIsmXLRCklfr9fRET6+/sFgHR3d2uqgYhSkyGS5ItkIqI00NPTg/LycrS3t6O6uvpfl5MWmpqacP36dQwPDyM7O3ve+SorKzE9PY0nT54sQHVENBOnbomISLNz586hrKwMVVVVSReupOL8+fMYHBxEZ2fnAlVHRDOx0SMiIs30ej3u3r2LrVu3wu12zyvXyMgIent7Z937j4jmj1O3RJSWKioq8OrVK3i9XhgMBpjNZrx+/fpfl0VEtKjY6BERERGlKU7dEhEREaUpNnpEREREaYqNHhEREVGaYqNHRERElKbY6BERERGlKTZ6RERERGmKjR4RERFRmvoPOFF4DNdCRZgAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Produce plots of atmospheric properties\n", "fig_PT = plot_PT(planet, model_Pelletier, atmosphere_Pelletier, log_P_max = 2.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Its a lot more wriggly! Like we would expect." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Slope \n", "\n", "This profile has as many free parameters as the user specifies.\n", "\n", "The original P-T profile, as defined in Piette & Madhusudhan (2021), fits for a photospheric temperature at 3.16 bars and a fixed number of $\\Delta$ T parameters between specific pressure anchor points (e.g., $\\Delta T$ from 10 to 1\\,mbar). \n", "\n", "The implementation here allows the user to define the pressure of the photosphere and the pressure edges where the $\\Delta T$ parameters are defined (i.e., the number of $\\Delta T$ parameters is a user choice). This parameterization is much better suited than other P-T profiles at fitting a deep temperature adiabat with a decreasing temperature with height. \n", "\n", "The slope profile explicitly assumes monotonically decreasing temperature with altitude and thus does not allow for thermal inversions (i.e., the $\\Delta T > 0$).\n", "\n", "Below: The photosphere is defined at 1e-1 bars with $\\Delta T_1$ from 1e-6 to 1e-5 bars, $\\Delta T_2$ from 1e-5 to 1e-4 bars, and so forth. $T_{\\rm{phot}}$ acts as the anchor point." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "model_name_slope = 'Slope'\n", "\n", "#***** Define model *****#\n", "\n", "bulk_species = ['H2', 'He']\n", "param_species = []\n", "\n", "# Create the model object\n", "model_slope = define_model(model_name_slope, bulk_species, param_species, \n", " PT_profile = 'slope',\n", " log_P_slope_phot = -1,\n", " log_P_slope_arr = [-6.0, -5.0, -4.0, -3.0, -2.0, 0.0, 1.0, 2.0,])" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "from POSEIDON.core import make_atmosphere\n", "\n", "# Atmospheric pressure grid\n", "P_min = 1.0e-6 # 1 ubar\n", "P_max = 100 # 100 bar\n", "N_layers = 100 # 100 layers\n", "\n", "# Let's space the layers uniformly in log-pressure\n", "P = np.logspace(np.log10(P_max), np.log10(P_min), N_layers)\n", "\n", "# Specify the reference pressure\n", "P_ref = 1 # The R_p_ref parameter will be the radius at 1 bar\n", "\n", "# Free parameters\n", "R_p_ref = 1.12 * R_J\n", "\n", "T_phot_PT = 1281.8 \n", "Delta_T_1 = 228.4 \n", "Delta_T_2 = 189.0 \n", "Delta_T_3 = 190.0 \n", "Delta_T_4 = 137.9 \n", "Delta_T_5 = 67.2 \n", "Delta_T_6 = 81.7 \n", "Delta_T_7 = 221.3 \n", "Delta_T_8 = 477.7\n", "\n", "PT_params = np.array([T_phot_PT, Delta_T_1, Delta_T_2, Delta_T_3, Delta_T_4, Delta_T_5, Delta_T_6, Delta_T_7, Delta_T_8])\n", "log_X_params = np.array([])\n", "cloud_params = np.array([])\n", "\n", "atmosphere_slope = make_atmosphere(planet, model_slope, P, P_ref, R_p_ref, \n", " PT_params, log_X_params, cloud_params)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Produce plots of atmospheric properties\n", "fig_PT = plot_PT(planet, model_slope, atmosphere_slope, log_P_max = 2.0)" ] } ], "metadata": { "kernelspec": { "display_name": "POSEIDON_python_3.11", "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": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 2 }