{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Sorption enthalpy calculations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sorption enthalpy, $\\Delta H_{ads}$, is an indication of the strength of the adsorbate-material\n", "interaction and can be estimated through several methods." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Isosteric enthalpy (Clausius-Clapeyron)\n", "\n", "In order to calculate $\\Delta H_{ads}$, at least two isotherms which were\n", "taken at different temperatures are required.\n", "\n", "First, make sure the data is imported." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Selected 5 isotherms with nitrogen at 77K\n", "Selected 2 room temperature calorimetry isotherms\n", "Selected 2 isotherms for IAST calculation\n", "Selected 3 isotherms for isosteric enthalpy calculation\n", "The file version is None while the parser uses version d546195. Strange things might happen, so double check your data.\n" ] } ], "source": [ "# import isotherms\n", "%run import.ipynb\n", "%matplotlib inline\n", "\n", "# import the characterisation module\n", "import pygaps.characterisation as pgc" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let's quickly plot the isotherms to see how they look. We put the temperature of\n", "the experiment in the legend by using the `lgd_keys` keyword." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# import the graphing module\n", "import pygaps.graphing as pgg\n", "\n", "pgg.plot_iso(\n", " isotherms_isosteric,\n", " lgd_keys=['adsorbate', 'temperature'],\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The isotherms look good, except perhaps a bit of measurement error in the low pressure region.\n", "\n", "The isosteric enthalpy calculation takes the list of the isotherms and returns\n", "the results as a dictionary. Using the `verbose` keyword, we also generate a\n", "graph that includes an error bar." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "result_dict = pgc.isosteric_enthalpy(isotherms_isosteric, verbose=True)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The inaccuracy in the low pressure region has contributed to the odd enthalpy\n", "curve. One other option would be to first fit a model to each isotherm, then\n", "use it for the enthalpy determination.\n", "\n", "Let's try a Double Site Langmuir model and then re-run the isosteric\n", "calculation." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pygaps.modelling import model_iso\n", "\n", "models_isosteric = [model_iso(iso, model=\"dslangmuir\") for iso in isotherms_isosteric]\n", "result_dict = pgc.isosteric_enthalpy(models_isosteric, verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "More information about the functions and their use can be found in the [manual](../manual/characterisation.rst)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Whittaker method\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Whittaker method uses a Tóth’s modification of Polanyi's potential theory to determine enthalpy of adsorption from a single isotherm fitted with a suitable model.\n", "We loaded the example isotherm before, so we can now plot it." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pgg.plot_iso(isotherms_enth_whittaker, lgd_keys=['adsorbate', 'temperature'], pressure_unit='bar')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The code can accept a ModelIsotherm of the required type. Note that this isotherm must be in correct pressure mode (`absolute`) and units: (`Pa`)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to model using Langmuir.\n", "Model Langmuir success, RMSE is 0.00748\n", "Attempting to model using DSLangmuir.\n", "Model DSLangmuir success, RMSE is 0.00368\n", "Attempting to model using TSLangmuir.\n", "Model TSLangmuir success, RMSE is 0.027\n", "Attempting to model using Toth.\n", "Model Toth success, RMSE is 0.00493\n", "Attempting to model using DSToth.\n", "Model DSToth success, RMSE is 0.0167\n", "Attempting to model using ChemiPhysisorption.\n", "Model ChemiPhysisorption success, RMSE is 0.205\n", "Best model fit is DSLangmuir.\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pygaps.modelling as pgm\n", "\n", "for iso in isotherms_enth_whittaker:\n", " iso.convert_pressure(mode_to=\"absolute\", unit_to=\"Pa\")\n", "models_whittaker = pgm.model_iso(\n", " isotherms_enth_whittaker[0], \n", " model=pgm._WHITTAKER_MODELS, \n", " verbose=True\n", ")\n", "result_dict_whitt = pgc.enthalpy_sorption_whittaker(models_whittaker, verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, the PointIsotherm and the desired model can be passed as parameters, and fitting is performed automatically before the method is applied." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to model using Langmuir.\n", "Model Langmuir success, RMSE is 0.00748\n", "Attempting to model using DSLangmuir.\n", "Model DSLangmuir success, RMSE is 0.00368\n", "Attempting to model using TSLangmuir.\n", "Model TSLangmuir success, RMSE is 0.027\n", "Attempting to model using Toth.\n", "Model Toth success, RMSE is 0.00493\n", "Attempting to model using DSToth.\n", "Model DSToth success, RMSE is 0.0167\n", "Attempting to model using ChemiPhysisorption.\n", "Model ChemiPhysisorption success, RMSE is 0.205\n", "Best model fit is DSLangmuir.\n" ] }, { "data": { "image/png": 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6aIvgfKBkP59g8pDVm89NNhbkZmLHXO69moQFM2fKvQzu3r6GRl9PmNNh7wuQvgIK08Fuqdz1Z1ZD9LDqGdtFSNAkhBCi1nJX4sXjm/dy4L9zaawU0ExXwGCNDc5PVKgOhcNFPuxQvXgnu4BNhblAbpn38dZ7MX5oXz5+6q4qj6neU1U49hEcnQXmJLDmA5fOZl6K4gWGRhDeHzq+BAEt3D7UipKgSQghRK1yWXXcyrB21hJMv66hibaQFroC4gwXfrDz7RoOWn1YU6Dh9SwTqbacMu+hKNCqSSTf/usR2sU1qfKz1UsZG5zLaVmbQM0qezntkjTgZYSA9tDyEWh2s9uH6Q4SNAkhhKg1yqrjZjKZWLt2LYcPH75oMVlVVfnm+ZkEnTxCrK6QXroC9D4XipDk2LXsVb1ZbLbzXraJAspeEvL3MfD4jVfzf3fd6N6Hq8sKs2DPv+DUj1CQCvbCy7iJAhoD+DaFqFHQcRro61aaBQmahBBC1Brr1q0jLS2tdB23ZctIS0tj/fr1JCYmutpnpGfz3bMfEluYSbyugHG6AjQ+F+531qZji0XPnFyVBeYC7JT+sdcoCt1bN+OHlx8lIjSkJh6z9jo6D5LeA9MBKDJzectpOtCHQGhv6PA8hPZw+zA9RYImIYQQtYarjtvw4XTo0AHA9c9Fixaxfft2fJQwtn/8DS0UMy28CrhXVwh/CZRSrF78XqDjg+wC1lsKgIJS/YQY/Xjl3pv5x4jEUufqveJX9w9/AgUp4Ci6jJtoQOcH/q0g/i5odpdH3maraRI0CSGEqBUcDoerjltsbGyJc+tXHQWcS3Uxc96nt6/qOmd3wGGrnp/y4MPsApKspYMAL62WK7u1Y+GLD+DvX7eWhKok9zBsewTOroeiXMBxyUtK0BjAOwIir4Z208A/ojpGWWdI0CSEEKJWUBQFo9GIyWTiyJEjLF+wh7Cj+2mpK6BTkI20RiEYrVaitCpFDtil6vnaZGOOqZAMW+lAKSosiI+emMSIPl098DQecPBDOPQ25B0Hh3qp1hcoOtAFQkh3aPtPiBxcXSO8bNlJ6Rz7eiO5h05jV60kfvWgR8YhQZMQQogqc1dqAKxGwMTSRd8xJPccbQMKSDYYWBbs3GsUlF3AhNPwnbkI89+WlQxeXtyU2JNPn5yEvj4vFZnTYfvDcHoVFGVT8X1HCmj9ILgzdH4NwvtU4yArT1VV0pbvJu3XfRSczsVuKf8tPNWsoveX5JZCCCHqCHelBvhl6Q7+mLOErtpcRhvM/BoVRJrewLJGoSz7S7s0UyH/3peBanMuMSkKNI8M58sXHqRHm3g3P10tcexr2PeSM89RZRJAKjowhEPTm6DTq7Vqv5E5PYdjX64ne3cqRbkFOGyV32xuOpJOaOeYahjdxSkOh6OSC5zCHXJzcwkMDCQnJ4eAgABPD0cIISqlrNQAxSIjIy+aGgBg987jzHr1G7o6sujsZaKDVx6a8xNVJhS+9AkiOcAXvd5Zx217ei7rTpzDS6/nodFDeOXecdX1aJ6hmmHrQ5C2DCxnqdRbaxpfCGwPHf/lkSzZ5Ulff4iUH3aQl5KJrUCt9HYqAI1Bh09kIFFDOxIxpG21zSBW9DdZZpqEEEJUWmVTA4AzPcBLz35JK/MpuujN/NvHhLdyITjYUqjls1wrX5iLyLFnAM50AJ2bx7B4xnPERDSq0WesNqnLYdezkLsP7KXf7CufBgxhEDUCur1TK3IcqWaVYwv/5Oyfh7FkmXEUVX7WSNEo6Py9CWjdmLixvQhqWXs3m0vQJIQQotIqkhogMTERVVWZNnUBPslH6aY38aI+h1Djhb0qyUUaPjc5mJmrcuz8W28aReHqKzrw/cuP1e29SaoKu56ClG/AklG5TNkabzC2gvbPQezY6htjBWUdOMXxBZswHT6NLc+Cw175aSPFS4t3mD/hCS2JGX2FR/YkVZUETUIIISrlYqkBir+bTCYm3/BvrtCbuNuQQ3zghaSSOXaFb80KH+eqbCx0/vhqNAqj+nZh4YsP1c1ASTXDxvGQ/ivYyi/wW5oGvIIhcgh0ftujr/Srqkrq0l2kr9pPYcbFN2KXSwGtjx7/2FBiRncnvGdz9w/UgyRoEkIIUSl/TQ2QnJzsmmH66vM/2LB6LSEx4G218VxQMtrz+5SKHLCyQMMnOSpL8hyogE6r4caBV7Bw+sOee5jLlboctj8K5iMVn0HSGMAvDto8AS3+Ua3Du5TkH7dy8qddWM6aL2sjtqLV4BXkQ0jnGJrfloB3iOeXCmuCBE1CCCEqrUuXLqxdu5YlS37io/8uo4k5j9iAAppEG8hHS888E1oFtls0fJZbxJcmO5l2Z6B005W9mP+8Z/LsXBZVhV3/hONzoSirAhco4BUIjQZA93fBv+bf8iqm5po5OHMtWdtPYDUXXkZuy5rZiF1XSNAkhBCi0v5ce5aifAUoJCwaClE4iC8AoRaVDSk53JddxKEi0Gm13Da0H7On3OvZQVdU7mHYOBHOba3Ya/4ab2eA1HOOR5fXsg6c4sjsPzAfP1OppTXXRuy2kcTf3IuAZuHVOMq6TYImIYRoQKqShHL3zuO8MWMxrew59Ddk08VgYkuRke1+/ph0OrRFVg6fzmXG0XPYFQ2Thg/i4BN3ufkJqsHBD2H/y1CQxqVf9VfA0Aha3A+dptXA4Mp2YskOUn7ageWMqVLLaxqDDv/YMJpP6EtI+ybVOML6SYImIYSo56qahPJfzy8gZe9REvS5/J/3OWJ0F2ZfQs/ksv9wJl+bHFi0Wh4YPYTCT26vzsepGtUMf97pzIdky7t0e8ULAtpCj/95JIO2alY5NHM1mVuPV255TQGdv4HgzjG0+ccA9AENY89RdZOgSQgh6rGyklCaTCbWrl3L4cOHy01CuXXTEf775k/EWbMZ4J1D3+AcV06lAjssMDv4X46NTaqD6wf0JLe2buY+/TtseQBMByu2YVtnhOjR0OPTGs+inXXgFEfm/IH5WCWX17QKhlAjUcM70mx0j2ocoZCgSQgh6rHKJKFUVZWXXljEyYMp9Dbk8rz3OVroLiRfPKgq/C/HyldmO/6Nw/nzy+mE1La3prY9A0c/Pb9h+1LTMhrwberMpB0/viZG53LZy2t6HX6xoTS/LcEjZUQaOgmahBCiHqtIEkofQyQfvL2cKLuZgYZsBgSfw0/j/CFXHfCt2cHnJhtrHDq+fOEx3urT1SPPUor5BGy4HbI2VXzDdlgC9JpVY2+0qWaVpFm/cXbzsctbXusUQ6tJAxrMK/21nQRNQghRT10sCWVUVBTgXKrb9M4XTPHJoq1Xvuv8sSKYnWtjodlO4vArWTL5jhobd7kOz4Y9L0BBKhXasK0Pg+b/gC4v18DgwJyWxYF3f8V0tPLLa/pQf6Kv6kj0yM4N/rX+2qxOB00zZsxg27ZtbN26lWPHjhEbG8vx48fLbHvHHXcwZ86cMs8tXLiQG2+8sUJ9njp1imeeeYZly5ZhNptp3749//znPxk71vNp7oUQ4q/KSkK5+tfdfPbRSqKMZnxjwd9q5RFjKgBWByzLd/Cd2cbO0EjWzHue6f4enOHY8igcmwVW06XbKjowtoEe70PjAdU/NiB19T6OzV+PJSuvwjNIsrxWt9XpoGnq1KmEhITQrVs3srOzK3TNvHnzSh3r2bNnha7NysqiX79+ZGRkMHnyZJo0acIXX3zBTTfdxGeffcadd95ZmeELIUS1K05CuWjRYt57/Ueaq4WMa5THvjBf8tHSLc/MKSssMttYomqZ9u8pfNahlWcGm7IYttwPhemXbqvzh6hr4YpPa6RwraqqHPpwNWc3HsFWWHTpC2R5rV6q00HTkSNHiI+PB5xr9Gbzpev93H775b8K+8orr3Ds2DF++OEHRo4cCcBdd91Fnz59ePLJJxk7diz+nvxbmRBC/IWqqixecBj/QAWDr43IZjby0bAFIwD+hRZWJZ9j3ZAhPHf/7dT4+2/mE7D2esjeAdgu0lADPtHQ4fkaKz9iPpHJvndXYD52tkIbtbXeXoT2bEbrB6+U5bV6rE4HTcUBU2UUr/H7+/uj0Wgqde0XX3xB8+bNXQETgFar5eGHH2bChAksXbqUm266qdJjEkIIdzp+7DTTpi7AUGhiuE82A4rOsTPQ35WEUldkxWJWuedfz2E0GmtuYKoK2+6H5C/BXnCRhgr4RDlzIzUZUSNDO7F0J8nfbEbNrsBSmwL6YD+a3dyLJld1rJHxidqhTgdNlyMwMBCTyYRer2fAgAG89NJL9OrV65LXpaWlkZqaym233VbqXO/evQHYvHmzBE1CCLe4nMzdvyzdwcxPVxKlFDDRJ4t+ITl4Kc4IoHlmDqknsxh07910u7J/dQy5bEfnwY4nwZJx8XY6f2j+IHR7pdqHpKoqB/77K1lbj1doqU3RavCPb0S7h4biHxNa7eMTtVeDCZoiIiJ4/PHH6d69O35+fuzcuZO3336b/v37s3TpUoYMGXLR60+dOgVAdHR0qXPFx1JTU8u93mKxYLFceCU2Nzf3ch5DCFGPXW7m7nff+InVv++ms5eFp/2z6Ka/sHF6n+rggE3DiHdf4/aQkOp/iNzD8Mf1kLOXi77hpuggrC/0+xa8q3dc2UnpHPjgV/JTsnDYLr1jW+urJ7xPC1rcM1CW2kQJDSZoeuWVkn97GT16NLfeeitdunTh/vvvJykp6aLX5+c7X8Ut6/+4vL29S7Qpy4wZM5g+fXplhy2EaCAqm7lbVVWeefxzjp88zUDvQv4TfNaViNLugF2qA0twEL0+fYt21T34P++B43MvkStJAd8Y6D232t9uS/5xK8nfbqUo+2JLgBeGZQj1p9mtfYhOrPb/pEQd12CCprK0bNmSm266idmzZ3Po0CFatSr/jRFfX2f17r/OFhUrLCws0aYsU6ZMYfLkya7vubm5NG3a9HKHLoSoZyqauTs9LYvHHp0NFgtX+5r5Z8hZGmudS0wWB+y32Inr04MuDz5UfYNVzfDbMMjcyEVnk3QB0Prxai1sq5pV9r23nHM7TlQoN5Ki02Bs0Zi2jwzBP7IGZt5EvdKggyaAuLg4AM6ePXvRoKk4EVxZS3DFx8pauitmMBgqVBhTCNEwXSpz959/bub1tzbQWAM3++Yw1D8Lf43zjTOTHdJtDlrefitdhg6tngFm7YLfR0LBifLbKF7Q+Erou7Da0gBkHTjFwQ9WUpB6Doe9YkttEYPaED+xryy1iSpr8EFT8bJc48aNL9ouMjKS6OhoNm7cWOpc8bEePaRQohCi8i6WuXvF8oMAWCwFTA7Ipb8hG/35zd1ZNnBotYRO/SfGFi3cP7DDs2HHo1B0kT2YXiHQ/QNodrP7+weOLtjIyZ92UZRbsaU270YBNJ/Yl4gED+WaEvVagwia8vLy0Gq1rr1HxbZv387ChQtp27YtzZs3dx3Pz8/nxIkTBAYGEhkZ6Tp+yy238Prrr/Pjjz+60g7YbDbeffddgoKCuOaaa2rmgYQQ9crfM3e3atWKifd8wLlME73D7SgxYLRaudL7HACZNgdBAUZCXv43uDs33Kb74OgscKjlt/FrDv1+gBD37wE6s+0YBz5YiZqZd8m2ipeGwNZRtH98mCSPFDWiTgdN8+bNIzk5GYAzZ844K3S/9BLg/Nva+PHOqtVJSUkMHz6c0aNH07JlS9fbc5999hlarZaPP/64xH03bdpEYmIiEydOZPbs2a7jzzzzDAsXLuTWW29l8uTJREdH8+WXX7J582Y+/fTTms13IoSoV4ozd3/19SJOnFDoYbXRqamJHWH+5KOla56ZXJuDgLgYQqc8C+5aaqrQ/iQNhA+C/svc1+95hVlmdr/6E6bDpy+53KYzGoga0oHYcT1lqU14RJ0OmmbOnMmaNWtKHHv++ecBGDhwoCtoioiIYMiQIaxevZr58+dTUFBAZGQkN998M1OmTKFNmzYV6i80NJR169bxzDPP8P7772M2m2nXrh1fffUVN99cPVPTQoiG4d//W0vXOPD3g+bxDsxoWE8gABEWCwktW2G4/373dJa1C9aOgvzk8ttoDND8Xujxjnv6/IsDH60ibfX+S27c9gr2pdXdA2WpTdQaisPhqGCZQeFOubm5BAYGkpOTQ0BAgKeHI4TwkIQxz+Fv1TPMx85ovwxOBBtcmbuNVitdY2NJGD++6i+SZGyAtSNBzSy/jVcwdHsH4sdXra+/Sfv9AEmf/U5RzsX3JWkMOiIT29Lm3sFu7V+IS6nob3KdnmkSQoi6SFVV+tz4IsF2b0b5enFTYDrxOmfqkticQhLNJhz3P4jStWvVOjKnw8q+kH+0/Da+8dD/R7fuTzKn57Dn1R/JS868aEkSRaNgbBlB56nXoA+QPUmi9pOgSQghqqAy5U5UVaX79VNphJExPj7c5HuaVl7O2RebA7QaBd2dk6BvXypXQKVEJ7C6P2RtKqeBxpmJe+BSt6UFUFWVA+/+ytk/j+IouljhXTCE+tH6gStp1K2ZW/oWoiZJ0CSEEJVU2XInWVlmet/2AlHaAK73CeQm3wzaeznfDrM7QKOA9vbbIbEKy1Jrx8LJbyl3M3dIT0hc67aN3Ob0HHa//D35J89dtJ3W24sm13amxe193dKvEJ4kQZMQQlRCZcqdnEg/w8CJL9FUF8RYvxDG+mbQRW8GLgRLmtGjYeSoyxvMjmfhwGvgKKforG88XLka/GMu7/5/k7HxMPs/WInVVFhuG0WrIbBdFB2fHoneX95wE/WLBE1CCFEJFSl3YoyMZcwjbxLrFcxY/3Bu8sugx/kiug4HKAporr4axt5U+QEcnQeb7wN7ObUu9aHOPUrhfarwlBccnLWW1GU7L7rs5hXsS/tHhxHa2T3BmRC1lQRNQghRCZcqd7L0l9Ws22lnrDGKsb4Z9DE4yywVB0vKwIEwYWLlOs3Y4CxhUlTOm29aP+j2HrS443IeqQRVVdk1/Qdy9qeWv4lbAf+4MLpOu042cIsGRYImIYSooPLKncxb/gfPvf0Fk3o3xt+gZUaImf76U2j+sptb6dkL7r234p2ZT8DKgZB/vOzzihe0eQq6vHwZT1JS7rEMdr2yBEuGqdw2ilZDo74t6Pj48Cr3J0RdJUGTEEJU0N/Lnaw+eIoX3/+GFt5hXB8ZBdgwWq0MNGRfuKhjJ3j0sYp3sn4CJH9O2dM8GmgyBvp/U6XnADi5YjeH5/yBLb/8cilaXz3xtyUQc03nKvcnRH0gQZMQQlRCcbmTeV8uYF+yjZvD4ugXksupcNVV7gSA1q3hqX9W7Ka5h+HXvmDJKOOkAiFXuOXNtwOfrObU8j04bOWVSwFDuJFOz4wgoFl4lfoSoj6SoEkIISrhqfm/khCiJcxfR4+WWqCIw/gAEKlaSAgKgjffqtjNtj4Jh96izDQBPjEw5E/wj6jSeI8t2syxrzbisJYTKCkQ2DaaTlNGydtuQlyCBE1CCFEBr8z/kZc/XUxn32gi87R0ijRxyN/nQrkTjULCCy9eutxJYRb83AUKUso4qYHWT0G3V6o01tTV+zj00epya7spXlqih3em9Z39q9SPEA2NBE1CCHER6ZlZxI17glhNMDcFtWCSfwZ9DTlgAkcuEBSEMuOVSy+d7Xsddk0BRxmBjKExXLWpSvmUMneeYPdrS7HlWco8r3hpaHZzb5rdcMVl9yFEQydBkxBClKPzpKmcTD7LAN9m3OincqvvEfw19gvpA558Atq2L/8Gqgq/dIPcvWWcVCBuAvSZfdnjyz2WwY5/fU/RubJzNilahahhHWnzj8TL7kMIcYEETUII8TevzP+R5z9ZSDufSCYGxfEP/1O09XIGJg4HKG3bwJNPl3+Do/Ng8z/AXsasj1cQJP4CoT0ua2yFWWa2PvsNhek5ZTdQIKxPczo/NeKy7i+EKJ8ETUIIcV7xUlyww4eRAa25zT+X63yOoFMczmBJp3MuxYWElL5YVeG3RMhcX/bNI4fDoKWXNS7VrLL9hYWYj50tt01QhyZ0fH4kejfVlhNClCZBkxBC4FyKO3Qsja4+0Vzjp+cu/xSitBdyGCnDhsFNN5e+MG2VM1t3WWVNNL7Q71uIHlbp8aiqyu6XfiR7z8lyM3P7xYbS7aWb5K03IWqIBE1CiAbtlfk/MuWTBcTrQxgb2IpJ/mcY5H0KOF9UN8AIr75WeqP3wXdh26OUGdGE9IbENZeVV+nogo0c/3oTDnvZkZJ3eACdp1+Pf0Rgpe8thKgaCZqEEA1S8VKc3qZlsH9zrvezMd7vKAEa24Wiug88CN27l7zw2New8VZK5VbSGOCKTyB+fKXHouaa2fTUgnLLmHgF+dDlhdGScFIID5OgSQjR4HSeNJU9R0/Szrsxg4zB3OOfRkd9HnB+o3ezZvDc8yUvSlsFa4aVThngGw/D91/WrNLhz9dx4rutZc4qaX31tH/iahp1a1bp+wohqocETUKIBqN4KS5c58+IgNbc6m9ijM8R9MUbvbUa50bv0LALF2Xtgl96ln4TzjsKrj1W6WCpMMvM5qe+Qs3KK/N8WIK8+SZEbSVBkxCi3iteinNYHfT0jeFqP2/u9jtJU50zEHI4QBk4ECZMvHCR+QQsbQe2vwU3XiEwIgm8y3iD7iIOzlrLyR+3lbkFSmc00HX69bL8JkQtJ0GTEKJe6zxpKruOphCrD6ZvYAR3+mcyxDsNOL/R288X5fU3L8wYFWbBkuZQlF3yRlp/uGZvpbJ2m9Nz2Dbla4qyC0qfVCC8fys6Pj78Mp9MCFHTJGgSQtRLxUtx/ho9g/zjGe0HE/yOE6y5sCdJc+ed0O98/TVVhZ9ioPB0yRtpDDB0E4R0qnDfBz5aRery3eXMKnnT/aUb8Y8JvZzHEkJ4kARNQoh6pXgpTi2y0ta7MYN8Q/iHfzpd9Wbg/FJck2iY/i/nBaoKP7eDvCMlb6ToIHElNB5QoX7NaVlse+YbinLLnlWKGtKetg8MqcqjCSE8TIImIUS9UbwUF6r1pVdAc27xy+dG3yN4F2/01igo0/8PoqOdFyztAjk7/3YXDSR8BbFjK9TnnneWc3rNgTJnlbyCfOg242bJqSREPSFBkxCiziteivNStHT3acJVfn7c43+KOF0hcH52qWcvuPde5wW/DoIza/52FwW6vQ+t769Qn5ue/gpT0unSJxSIvrYLbe4aePkPJISolSRoEkLUWcVLcZYiK029gkjwi2KiXxbDvI+iUc4HS94GlFdfA39/WHsjnFxU+kbtX4RO0yrU56anvsR0OKPUcX2wH1e8Pg7vEP8qPpUQoraSoEkIUScVL8X5arzo7xfPKD+FO/2OEaq9sNFbGXcLDB0Km+6DIx+VvkmLB+CK9yvUX3nBUvTVHWlz7+DLfg4hRN0hQZMQok4pXopTgNaGRgz0C+Muvwx6GnKB87NLjRrBK6/Czhfgy6tK36TJjdB/YYX6+/PJLzAfOVPqePQ1nWjzj8SqPIoQoo6RoEkIUSf8dSkuWOtDL9+m3OxfyE0+R/HV2C9s9H5mCtiWwZcaSu3ODr8Srvy1Qv39OXk+5mNnSx2XYEmIhkuCJiFErVe8FKdDQ1efaIb4GrnH/xQtvJyv9zscoHTuAiMbw8bWlCqmG9QVhm+rUF/lBksjZHO3EA2dBE1CiFrF4XCgKApwYSkOIMorgL6+0Yz3z+Ya7yNoizd6671QnhwJm8fAxr8V0/VrAVfvrVB9uI2Pf07e8cxSxyVYEkIUk6BJCOFxFouFdevWsWPHDkwmE35+fqzYn8qa45l4Kzq6+zZhhJ+OSX7JhGuLXNcp13QH6xOw6eOSN6xEMV0JloQQFSVBkxDCoywWC3PmzCEtLc11LC8vj74xQbQJ8afgqA93+p4hwZADnJ9dCvaGnnNBnVXyZpUoprvxsc/JSy4dLDUZ1Y3Wd/av2kMJIeolCZqEEB61bt060tLS0On1fLn9BMnZBbQNDuCqlqGE+uvoHXOWBFOOM1hSbCiDfwJNJtj+cpNKFNPd+Og88k5klToeM6Y7LSf0c+OTCSHqGwmahBAetWPHDgC+3H6CAxl5tPeJpL81gAFZWWxoHMBefz+uys1C6fo7hB4reXEliulKsCSEqCoJmoQQHmOxWDCZTACcMzkYFdCa2/1zGeVzlAKrhg0EYNLpYPAc0PzlQkUHA5dD5KWTSm54ZB75KRIsCSGqToImIYRHzP7pN+58bSaT+8QR4K1jfGQUD9lP0kRnASA5zBlMGXW5KK6AqeLFdMsLlmJv6EGL2/u66zGEEA2IBE1CiBrX5a7n2HkkGS0KpzMVAqIhtImV7HNajPpsUpolsyz7SrBB14DtVLSYrqqqbH3iK/JPnit1ToIlIURVSdAkhKgxWVlmGo99EKvNjr/GwFD/WCYWnOOY6k2a3sCisEZAI8jsDECk4RQJffpBj1UXve9Fg6Ubr6DFbQnV8ThCiAZGgiYhRI34a6LKJl5BXB8QwRPGk8ToCinUHGVDsI7tpi6YrAEYdbl0jdOScON/MRgM5d5TVVW2Tv6K/FQJloQQ1U+CJiFEtSnO7t38lskcTTuDBoUuPtFMCNBzj/8xfHxycLRdh3dIGolAYqNVOBpfjTJ42UXv6wyWviQ/NbvUOQmWhBDVRYImIYRb/T27d67FSqy3jSydnn4+cTwcmMNV3unQZD+OFltQtOcTLileMOIEin9Eufe+WLAUd3NPmo/rU01PJYQQEjQJIdyorOzeAQYdA+NCSAgPYXxGOq2NadB2HQRloBQ3ipsIfWaXe19VVdny2JcUpGWXOtfsll7E39Tbrc8hhBBlkaBJCOE2xdm9C6x2lhzM4ER2Af0aRdI73oCXr8KpuHO0avE9isbuvEDjA2MyQO9f5v2cwdIXFKTllDonwZIQoqZJ0CSEcJvt27cDsORgBofPFDLIrxkPYia2MI1F/s3YrosksThgav1P6PZKmfeRYEkIURtJ0CSEcIuf/9yB2WwGIMcEE4Ja8FTQCVq22ogp6hgcfwKTNQCHLgjlutOg15e6h6qqbH70CwrTJVgSQtQ+EjQJIarsntdm8slPv7mye98dFcFTARvxbb8W/HJIzu0AgNFHQRlbOj0AwI5/f0/m5uOljsffnkCzG66ozuELIUSFSNAkhKiS4nQCAKfO2gloAr4xhRyNOE6swUZybgeWnbkWgK5X9C91febOE+yY/h04Sh6XYEkIUdtI0CSEuCwWiwXjNfdSZLOhRUOifxz3aU5yUOdNmjWcRek3lmgfGRlJQkLJ/ElrJ32Kei6vxDEpdyKEqK0kaBJCVFhxDqZNm7dgKSzg4Z5N2ZNupnF2EK+0XUNU27X01mhYn9mP7aZumKz+GI1GunbtSkJCgiu798FZazn5w7YS9zaE+dPvk7s88VhCCFEhEjQJISqkzBxM3joS4oJorMkkNH4daKwYLN4kDuhNYpeXXRnBi5nTc9j00FwcNvuFGyvQ9d9jCWkTVZOPI4QQlSZBkxCiQopzMOWpVpYmnYU8A4+1UjkX4s9peyjrMvsy2Hcb3H4UvEMASgRMGx//nLzjmSXuGZbQnM5PjajR5xBCiMslQZMQokJ+XrUGPy8NS5PO4m/2Y1bv9bRtsYE9pg4sSr+RHaZeDH5kVanrTq7YzcEPSx7X+upJmHUX+jLSDgghRG0lQZMQ4pJ8r5rEP/vGAtDDS8+7I+ZjDE4HIEYtAMBk9S6xHKeaVdb/41NshUUl7tXmkaFEJ7arwdELIYR7aDw9gKqYMWMGY8eOJT4+HkVRiIuLK7NdYWEhn3zyCddddx1xcXH4+PgQHx/PLbfcwv79+yvc3+zZs1EUpcw/Dz30kJueSojaIyvLjCZxPAVqEbkWKwCT+/6OMTgdR5EeTrTjROJiAIxGoytg2vPOctaO/7BEwGRsEc6V3z0qAZMQos6q0zNNU6dOJSQkhG7dupGdnV1uu+PHj3PPPffQr18/7rrrLqKiojh69Cgffvgh3377LT///DOJiYmV6rdt27YljrVu3fpyH0OIWmnDnkMkPPQvAHwVHW28UjhFM5ZnDUVRDcSZI0ke/S+WLVsGQNeuXVHNKn/c+REO64WN3opOQ8JHd+IdUnZ9OSGEqCvqdNB05MgR4uPjAejQoYOrhMPfNWrUiO3bt9OlS5cSx2+77Ta6du3KU089xZYtWyrc79ChQxk0aNDlDluIWu/NBUt54oMvAYj1gV+uWktMeApzUu4gzRLFtznDnQ0XLQKcOZhC91pY+98PS9wnZkx3Wk7oV6NjF0KI6lKng6bigOlSQkNDCQ0NLXW8Xbt2dOjQgT179lS6b5PJhMFgkI2sot4ozsG0au06vLAzuU8cOaZMXum8kDD/s2DTclvBXjY1vYLtubmYTCaMRiOd2nfCPns/ZwoPuu6lMejoO/cf8u+HEKJeqdNBU1XZ7XbS0tJo3Lhxpa4bNWoUJpMJRVHo2LEjTz31FLfffns1jVKI6vfXHExe548FeOsI8G7Mt5nXM5Fv0Ozvjd8//kNi2/YkAg6Hg4Of/U7q/3ag/cu9oq/pRJt/VHy5Wwgh6ooGHTT973//Iy0tjeeff75C7X19fbn11lsZPHgw4eHhHDt2jPfff5/x48dz5MgRXnzxxXKvtVgsWCwW1/fc3Nwqj18Id/lrDqZfj5zmhQ6baBFuZVnGNaRZolh76BaGPPd/EOLMv6SqKusmfIL9/OZwAMVLS7/P7kHvL7NLQoj6SXE4HI5LN6v9ivc0HT9+vELt169fz+DBg2nTpg0bN27E29v7svq1WCz06NGDAwcOkJSUVO4bfNOmTWP69Omljufk5BAQEHBZfQvhLk8/9yJ+Xhp+TUpmVsISWgSfAYfCnsMjWOTojtFoZPLkyQAcW7yFo3PWlbg+8sp2tHtoqCeGLoQQVZabm0tgYOAlf5PrdMqBy7V161auvfZaoqKi+Omnny47YAIwGAw8+eSTWK1WVqxYUW67KVOmkJOT4/qTkpJy2X0K4U6R1z+En5fz/wrmD1jqDJhUA/btV9H0rDM3k8lkwuFw8Me9n5UImBSdhv5z7pKASQjRIDS45blt27YxdOhQAgMDWb16NdHR0VW+Z/Hs0tmzZ8ttYzAYXMVKhagtgkfcS7Y5H4s1AIPOQC5hkFeIdcdQdMGtSJl4CyxahL+vH6uu/2+Ja6UEihCioWlQQdO2bdsYMmQIRqOR1atXExsb65b7JiUlAVR6Q7kQnuQ37C7yLSr3tzvEleGn+CNrAMvSR2DNzKZ5bDzJw69x5WAKPmoF1xZxuOLNWwhoFu6hkQshhGc0mKBp+/btDB06FH9/f1avXk2zZs3KbZufn8+JEycIDAwkMjLSdTwzM7NU6oKcnBxeffVV9Ho9w4YNq7bxC+FOhiF3YLUV8Ubv7UzuvB+LXc+R7Pak2UP5PsQH8gtcOZj88rVEZziXsPWhfvT/9G5PDl0IITymTgdN8+bNIzk5GYAzZ86gqiovvfQSALGxsYwfPx6A5ORkhg4dyrlz53jkkUdYv34969evL3GvMWPG4OfnB8CmTZtITExk4sSJzJ4929WmY8eODBw4kI4dOxIeHs7x48f57LPPSEtL44033qBJkyY18NRCXD5VVfG9+m4MmiIWDP2D65qdBMBwtAPjkvPY2j6O7Q7nHia9qtA4S090hjc6u0LczT1pPq6Ph59ACCE8p04HTTNnzmTNmjUljhWnDxg4cKAraDp27BiZmZmA8y22shw7dswVNJXnlltu4bfffmPFihWunfY9e/Zk1qxZMsskaj1VVfEedheNffL58erf6NEoC4dNi7K/H4XpzQkYdhWJN92M/zMLyDl4CgVnHTlFq9BvziT0AVIGRQjRsNWblAN1TUVfbxTCHbKyzIRefz8dQs7x09WriTHmY1cNaHZdSUF2JD6jR8HIUawe936J3EsBrSK44tWbPThyIYSofhX9Tb7smaa5c+de7qWlTJgwwW33EkKUlJ6ZReQNjzK0ySm+GbqWAH0R9rxANDuHkJ8XhO/4WzE378yfY94pcV3Hf15LeO8WHhq1EELUPpc906TRaFAUxS2DsNlsbrlPXSIzTaIm7Dt+kvZ3TOHuNkl82H8TOo0D27kItLsGk6f64Hfv3Rw7qeXo5xf2+ClahX5f3Cd144QQDUa1zzQBdO7cmeuuu+6yr1+8eDG7du2qyhCEEOXYlZRMl39MZUavHTzTZR8AtrTmaPf3xWzzwv/xR9g0bx+mpNOuawzhRvp9NMlTQxZCiFqtSkFTly5dLlpv7VKOHz8uQZMQ1eDIiVSenPE6/0qMxkIr3jyaSydbGv1TvCmwafGf+k9WP7e8xP4lKYUihBAXd9lBU0BAAL6+vlXq3MfHR5amhHCzrKwsXv/vu/SNDaM4JDJZA1hHAEmNVG4efRMrn/qpxDWdnh9Fo27l5y4TQgghb895jOxpEtVBVVVG3z+ZXjGN8NXmMSxsObFHYkgpjGVpcAgFWi1N0w3EpvsAsn9JCCFACvYK0SA1ve52+sc6A6KrQpfTISmawHONaJpnobXFmd3+dIgKOPcvDf7mEQmYhBCigiRoEqKeiB05lgVD1qA6nEkoYw43Q5MTwTmbju35ndAfLQRA1TtonNhGNnwLIUQlSdAkRD3Q9vqb+GLwGgZGZWDU5gKQqjYh06ZjW3ZbbBY7Of7OHU5+3r50eEQy2AshRGW5PWj6+eefiY+Pd/dthRDl6HXbzcwesIq+EWcoKNLTwZwHwNLgEH6hBaoOzgSpHG1SAED3nj08OVwhhKiz3F57Li8vz1VEVwhRva75xzg+6PUr3RtlkacaYNtwBuYXcbiRyhmDnoNxBUCBq31kZCQJCQmeG7AQQtRhFQ6aXnjhhQq1279//2UPRghRceMfvZV/d1pOl7BsTBYDtq3XElQQSLZNR6uDwXiHWzkdoqLqHRiNRrp27UpCQgIGg8HTQxdCiDqpwikHNBoNQUFBBAYGXrRdfn4+Z8+ebZClUSpDUg6IqnjyufHcEfkjHUJyyC70xrp1JGGF/uTYdOzIaYXV4QVA7A09aH5bgttKHgkhRH3k9jIqzZs3p3///nz22WcXbffNN99w881SFV2I6vL6f+7g7ugfaBOUS2aBD5ato4iy+GK269iV09IVMLV58Eqih3Tw8GiFEKL+qHDQ1KdPH9avX3/JdoqiIPkyhagecz+4k9EBi2gRaCYj35f8LaOJKzKQb9eyM6c5qsOZc6nrSzcQ0r6Jh0crhBD1S4WDpkcffZR169Zdst3AgQNZvXp1lQYlhCht+dxJDNAtJM6YR1qeL6Yt19PK6oXFrmFXbnMK7d4A9PrwDvwjLr6MLoQQovKkjIqHyJ4mURlbv7ufxmfnEO1XwEmzH9lbb6SjTUORQ8OO3ObkWn1Bgf5f3S8ZvoUQopLcvqdJCOEZGVvf48TRo6wpvB+TNQBvq5Ur/Mzk55o4kBtHrtUXRadh8MKHPT1UIYSo16qc3DIlJYXBgwe7YyxCiL+xpKzi65/3ssucgMnq/NtPoU7H2sAgPg5ryhm7P1pfvQRMQghRA6ocNOXn57NmzRp3jEUI8VfmEyz5+j9kWSPw0eTROiudyaknueHsGQxWBzk+cLqZg0Hz7/f0SIUQokGQ2nNC1EaqmaPz25FsaQ9A46xzjMuzYLTb8DobTNxJPwDORsmWRCGEqCkSNAlRC6XMaUwzY55rSe46s/P40fzGnCwMI75dSwBMJpOk+BBCiBoiQZMQtczZWX409c9HUUCxWwA46W0grTCYYwXhxN3cE9/hLQAwGo2S7VsIIWqIBE1C1CIFXwYR5p0PwNtbe9A9VwVgaXAoa7zCiflHPwo6GFm2bBkAXbt29dhYhRCioZGUA0LUErZvY9E7ckCBD3a347ozPYnSnyPFx5vTBi8OxhVycPNS2OxsHxkZSUJCgmcHLYQQDYgETULUBj/3xF6QgpcGPj/UjF4pg2lmyKPIpqV9kh8RQ+M4ak7DZDJhNBrp2rUrCQkJGAwGT49cCCEaDLcETbIRVYgq+PMe1LNb0Gsd/JQcRdDBkXT3NWF3wG5TU2ImXEX/kd0B579rsodJCCE8o8p7miIiIvjwww/dMRYhGp7U5RQemole62BDehjJ28cwwtcEwP68KILHDSf2fMAESMAkhBAeJLXnPERqzwlUM+avw9iUncDW7G7k240YrVa65JlpkuGFbtT1xN/U29OjFEKIek9qzwlRy1m+acwXqRNJs0S5jpnOl0gJaeTPPdfJm3FCCFGbuC3lwJdffsnBgwfddTsh6rfFTViX2Ys0SxQOm8o1GdlMTj3J8IxsDGjJUs2sX7/e06MUQgjxF24Lmm677TbatWuH0Wikb9++PPTQQ3z22Wds376doqIid3UjRN23/jZs+ansyHXOJA06o3KFJQddkYKii2HEDaMB2L59uwcHKYQQ4u/ctjw3depU9uzZw48//siGDRvYsGGDa9OqTqejXbt2dOvWjZ49ezJkyBCaN2/urq6FqDtSFmM//gUacJVI6W7Lxu5Q2FoURr93Hsdkcm4ELy6RIpu/hRCidnBb0PToo48yePBgQkJCmDRpEs2bN6egoIC9e/eyZMkSdu7cya5du5g9ezYA/fv35z//+Q89e/Z01xCEqN1UM/wxBo0CKWZftEU2bF5akg0GCrMM9Jv/bwCSk5MBKZEihBC1jduCpsmTJ3Py5El27txJTExMiXM2m423336bqVOncu211+Lj48PixYvp168fM2fOZPz48e4ahhC116JAAAqsWuauuZ6ejfLZEGRkSXAoI+4ag8lkIjk5WUqkCCFELeW2lANhYWH069ePxYsXl9vmq6++YuLEiWzbtg0vLy+GDx/OqVOn2LZtG23btnXHMOoMSTnQwHwbAZbTAMxYM4R78tvhbzAzs1EkZwxepZpHRkYyceJEyfgthBA1oKK/yW7bCK6qKjab7aJtxo0bR7t27ZgxYwatWrVi3rx5WCwW3n77bXcNQ4ja5/cxOAqdAdPcPZ24MacHoXoTGjs0y/JiwIABGI1GwLkkN2DAAAmYhBCiFnLb8lz37t1ZvXo1p0+fpnHjxuW2a9OmDStXrgQgISGBjh07smrVKncNQ4ja5djXkLoYRYF1qVG0SBpNC2MKAGsLAxk+80UAEhMTZdO3EELUcm6baXr00UfJz89n9OjRpKenl9tu3759ZGdnu763bNmS1NRUdw1DiNqjMAs2jgMgOdef7M130MM/DUWB7RZ/Bs9/s0RzCZiEEKJ2c1vQNHr0aB577DH+/PNP2rdvz/Tp09m/f7/rfHZ2No8//ji7d+8usX+pqKgIrVbrrmEIUXt81wiAfKuWTX9MpK93DnqNlVSrAb+Jt3p4cEIIISrL7bXnPvvsM5588kmys7NRFAUvLy/8/Pxcs0uKorB48WJGjBgBQLt27bBYLBw5csSdw6j1ZCN4PbcoDNRMAL7740a6ZccT63OGAruGX/2bM/K/Uzw8QCGEEMVqfCN4sUmTJnH8+HFeffVV+vXrh8Fg4Ny5c4SEhHDVVVfxxx9/uAKmnTt3cuDAAQYMGODuYQjhOb9d4wqYVu7pQ/OzHYn1OeP8bgmWgEkIIeoot880lcVqtaLTld5z7nA4OHToEN7e3sTGxlb3MGoVmWmqpw7Phs13ArAzNY68DffSM/AwOo2dDZYA+sx726PDE0IIUVpFf5Pd9vbcxZQVMIFzqa5169Y1MQQhqp+qugKmU7mB5G66my7GE+g0do5YvQm67y4PD1AIIURVuH15TogGa3EIAEU2Dcc23E28/hxGXSG5di3bQlrStm9HDw9QCCFEVUjQJIQ7bLgDbHkAHNx1DYGFfkR7Z2F3wM+FoYx983HPjk8IIUSV1cjynBD1mvkEHJ+Dxa5n+YkR7NN3wtIWVlijCcqxctsH0zw9QiGEEG5w2TNN9957Lx999BGbNm3CYrG4c0xC1C0/NsNi1zPrxCS2q52wnC8lZ9LpSAn1Zs6cOfLviBBC1AOXPdP0ySefuDIYa7VaWrduTbdu3ejatSvdunWjS5cu8laYqP+WdQPsrMvqy2k1Am+rnWuzMwkosLK0UStMITbS0tJYv349iYmJnh6tEEKIKrjsoGnFihVs376dbdu2sX37dvbt28fevXuZN2+eK5iKj493BVHF/2zUqJHbBi+ER6UshuztAGzN6gnAtdmZtMvP5/OCCO6bMZk9e/awaNEitm/fLkGTEELUcZcdNA0ZMoQhQ4a4vufl5bFjxw5XELVt2zb27dvHkSNH+Oabb1yBVGRkJN27d+f777+v+uiF8KQ/xgBgMoWQjw8AsRYLay1BjJs9zfn9fP4xk8kkBXmFEKKOc9tGcD8/P/r27Uvfvn1dx1RVZffu3SVmpHbt2sWSJUvc1a0QnvFNKAB2h8LBTbfjG2knX6dhu5c/5/omotfrAUhOTgbAaDRKwCSEEHVctb49p9fr6d69O927d3cds9vtHDhwoDq7FaJ6bX0SirIAOL7vKjSmQLoH5LI2MIg1IYGM6d8Mk8lEcnIyy5YtA6Br166eHLEQQgg3cGvQpKoqH3/8McuWLSMzM5Pg4GA6d+7M8OHDGThwIAAajYZ27dq5s1shak5hFhx6A4Ccs7GcOpBI94AkNCYH2wxG8ry1LFq0qMQlkZGRJCQkeGK0Qggh3Mhttefy8vK48sor2bx5M3+/paIotGvXjk8++YTevXu7o7s6T2rP1VFf6cFRhLVIz6YVTxGunKOFoYCjVm+2D7qOkFg927dvx2QyYTQa6dq1KwkJCRgMBk+PXAghRDkq+pvstozg06ZNY9OmTfTv35+lS5dy4MABduzYwfz58xkzZgz79+9n8ODB/PDDD+7qkhkzZjB27Fji4+NRFIW4uLiLtv/zzz8ZMmQIRqORgIAArr76anbs2FGpPt1xD1FHrR6Ow14EwKHtN2BRi2hhKEB1KPykhnPDHcNITExk8uTJvPDCC0yePJnExEQJmIQQop5w20xTs2bNsNvtHDx4EG9v71LnN2zYwOjRoykoKGDnzp00a9asyn0qikJISAjdunVj69atBAQEcPz48TLbbty4kUGDBhEdHc1DDz0EwHvvvUdGRgbr16+nY8dL1wVzxz2KyUxTHWM+geOHWBQFMk52Yuv6mxgcchSD4uD7gjCGz3rJtflbCCFE3VLR32S3BU3e3t6MGjWKBQsWlNtm48aN9O3blwceeIB33323yn0ePXqU+Ph4ADp06IDZbC43aOrZsycHDhxg//79REdHA5Camkrbtm3p3bs3K1asuGR/7rhHMQma6pivvMBhpcjiy7qfnyZSn0Zrvcr+Il8OX3sLI2/qe+l7CCGEqJVqfHmuUaNG5OTkXLRN79696dWrl+uNoqoqDpgu5fDhw2zevJmxY8e6gh2A6Ohoxo4dy6+//kp6enq130PUUetvw2G3AnBox2jO2DJprVfJt2tYYo2QgEkIIRoItwVN/fr1Y82aNZw8efKi7WJjYzl16pS7uq2QzZs3A9CnT59S53r37o3D4WDr1q3Vfg9RBxVm4Tj+BapDz0/Hx/KdX0v2dQjlzchoPvOL4L7/PerpEQohhKghbguaHnnkEaxWK2PGjOHMmTPlttu7dy9+fn7u6rZCioO0v84QFfvrMlt13sNisZCbm1vij6gDvo9CdeiZfeJOtqjtsemdCSpNOh2ZYV58+eWXUoxXCCEaCLcFTX369OH//u//2Lp1K+3bt2fatGmubMgA2dnZPPnkk+zdu7dE+ZWakJ+fD1DmW0zFm9aL21TXPWbMmEFgYKDrT9OmTSs2eOE5Wx7FYVNZl9WXdDUSjdXODWfPcM/JU2hOafH19XUV4xVCCFH/uS1oApg6dSrvv/8+eXl5/Otf/yI+Ph6j0UhoaCihoaG8+eabBAcH8/LLL7uz20vy9fUFKHNGoLCwsESb6rrHlClTyMnJcf1JSUmp2OCFZ6gq9gPvoygOtp3rAcCo7Ew6FOSz0hTC8x89x/DhwwHYvn27J0cqhBCihrg1aAK4//77OXToEM899xzdunWjqKiIc+fOERAQwLhx49i0aVOFN3C7S1RUFFD28lnxsbKW3dx5D4PBQEBAQIk/ohb7KRaN1obNqiXP4VxOjrdY2Kn6E3jDSKB0MV4hhBD1m9uDJnAGD9OnT2fz5s0UFhZSWFjIuXPn+OKLL2o8YAK44oorAGeuqL/buHEjiqKUqI9XXfcQdUTGBmzmTACSDw4G1QbAYYM3P1rCGTnWWRJFivEKIUTDUi1B0995OulfixYt6NGjBwsXLizx5t6pU6dYuHAhgwcPJiIiwnX87NmzHDhwoEQKhcreQ9RdRT9fiVZXREFeMJ/sakfvfDMAPwWFcvVTIzCZTOzZs0eK8QohRAPjtuSWnjBv3jzX3/bfffddVFXliSeeAJxLJ+PHj3e1Xb9+PYmJiTRp0oSHH37Ydc3p06dZt24dnTt3drWdNm0a06dPZ9asWdxxxx2XdY9LkeSWtdTGuyhI+oIN2X3480xfVK0Of6sVKwqFOm2p5pGRkUycOFFKpQghRB1W0d9knbs6tNlsvPnmm3z77bekpaURFhZGu3bt6Nq1K127dqVLly4EBQW5qzsAZs6cyZo1a0oce/755wEYOHBgiaApISGB3377jeeee47nnnsORVFISEhg4cKFFQ523HEPUYupKjm7v+frzAmkWaLgfIxk1jn/NfH390dRFCnGK4QQDZTbZpqmTJnCf/7znzI3xBbv94iJiXEFUcXBTUMlM021T8HcZmzIacbarIFgtXFl1jk6FxWyWAkjtVkQFkshAwYMYNCgQbKHSQgh6pEaL6Myf/58vLy8WLx4MRaLhYyMDFauXMkbb7zB+PHj6dixI6dOnWLx4sVMmzbNXd0K4R4ZG9Daz7Aj17k/yTv1HP0seRQUadhvi2LEiGsBZ3oBCZiEEKJhctvyXHZ2NldffTWjRo0CICwsjMTERBITE11tioqK2Lt3Lzt37nRXt0K4Re7CmzAG52GyOv+G8Q9tITjg+4JG/PurhzGZTMCF9AISOAkhRMPjtqCpc+fOl8xV4+XlRZcuXejSpYu7uhWiynK/vwP/wDQUBbQ2FZtWzylvAydzNGj69wMkvYAQQgg3Ls89+OCDrF69moyMDHfdUojqp6ooqb+i0do4nd6StPQ8AJYFh7BYH8pNE/pKegEhhBCAm1MO3HHHHRw8eJBvv/2WyMhId922XpKN4LVD2qs9iYzZjN2m5ZbvxvLvAH9WRjUiTV/6jThJLyCEEPVTjW8EB+cbdGfPnqVjx4489dRT/P777+Tl5bmzCyHcJmvTCoLDkgDYcLAnbe0+NNfaGJWeieWsF0ajEXAuyQ0YMEACJiGEaODcNtO0dOlSbrjhBlRVde1tUhQFRVFo3ry5K9VAcc6m8PBwd3RbZ8lMk+elv9KdiNhtFOQHkvDNtWyI8sZbcfCpOZIJc19Er9fLpm8hhGgAajy55dSpU7FYLIwcOZLhw4eTm5vLzp072bFjB4cOHSIpKYkFCxa4Aimr1equroWotKTpk4hvvguAV//sxfQgZ8C0v8iX0/EdXaV/JGASQghRzG1B06FDh+jatSvff/99qXOFhYXs2rWLHTt2sG3bNkk5IDxKzTUTbNyAVmvlVEYsf6SEMy3agd0B3+Y34tl/j/P0EIUQQtRCbguaIiIiaN26dZnnvL296dmzJz179nRXd0JctiP/N4m23Q/gcCjcsqYzn4YbADu/FobQfeJITw9PCCFELeW2jeA33HADmzZtumSuJiE8KXXZdiJjtgCw7UQretqDaellJ8euZanaiKtHdPPwCIUQQtRWbguannvuOex2Oy+99JK7bimE25l+/TdBjY5hs2m5b307XghxVuX9Nr8RU9+918OjE0IIUZu5LWgaPXo0nTt3Ztq0adxyyy3s37/fXbcWwi22Pj+PJi3WYbHr+SjpBkZ3as+bsTH8J7IJh6JDCQz28fQQhRBC1GJuSzmg0ZSMv4pTDVxxxRV06dLFlW4gNDTUHd3VeZJyoGapZpVj/zeOuM4/MfvEnaSrpZOvSvJKIYRomGo85cCxY8fYsWOHK83Ajh07OHz4MIcPH+bLL790vbodHR1d7lt2QlSXjQ+8Rc8Bq1mX1Zd0NRK91cbI7CxO5ho41LkHFttJ0tLSWL9+fYki00IIIUQxtwVNsbGxxMbGct1117mO/TVXU/E/9+7dy5IlS9zVrRCXlLHxMFHRv+Ptl832dOdG75HZWbTIL2COOYrXJt/Cnj17WLRoEdu3b5egSQghRJncFjSVJSAggP79+9O/f3/XMZvNxoEDB6qzWyFKOPTfefS66jccDjDbnKVRYi0WlheEMvapsc7vsbEAmEwmyQIuhBCiTNUaNJVFq9XSvn37mu5WNFA7XvmRJi3X4mXI51y+HzbVilav44Deh1/VUN7t3RKA5ORkwFlnTgImIYTwLLPZzKaDyWxLOsahlNOkZGTSvlk0rz9wm0fH5bagyWaz8eabb/Ltt9+SlpZGWFgY7dq1K1FvLigoyF3dCXFJqqqSv3cjHYetBeChP7pxS1AeW/WB/BwcwvXX98NkMpGcnMyyZcsA6Nq1qyeHLIQQdY7ZbGbdviNsTzrBgROn6NwihsfHDgfg65Xr+cfrs1CtNmx2G3a7A4fDQfEbaIF+PmT/9DEAj74zl/9+90u5/SzfvLv+BE3PPfcc//nPf1zJLU+cOMG2bdv4/PPPXX9zj4mJcQVRzz//vLu6FqJMf943l+Ztf0WrtZKSG0CL7GYM1eWQ7OPDWYOe39f+yu9rf3W1j4yMJCEhwYMjFkKI6nc4JZ1ftuwmPjqcYT07A/DJktVM+XgBlqIiiqw2bHY7drsD+/nf9KiwIFK/eReAMc++zeJ1W8u9v2aF4gqafvpzF6aCwnLb5uYVuD6HBwdedNy1YRXAbUHT/Pnz8fLyYsGCBQwfPpycnBx2795dYhP4/v37SU5O5vvvv5egSVSrwiwzXvZDRMZuBuCB33rxZbAOg8OB5rhC7wm92btvLyaTCaPRSNeuXUlISJB0A0KIWu1E+hm+WLmR3UdPcDz9LGeyTeTkFZBvsaAWWenfsTW/vjUFgOFP/YefN+8u9156nRbLr7MBmL3sdzJzzeW2Tc/KcX3W6bQXH+RfYps+bZszb8W6EqcURUGr0aDTamgX18R17q5r+7Nu7yFiwkNoHRNF77bN6d4qzlVAvTZwW9CUnZ3N1VdfzahRowAICwsjMTGxxJtIRUVF7N27Vwr2imq34YE5tOm8GkXjYG9mMMOLovH3c3DU6s0efRT3Xz2MYVcPk03fQogaoaoqq3fsZ93uJPafSGNUQlfGD+sHwH1vzOSzZWux2ewllq6KhQcFcHrx+wAkPj6Do2lnyu1n7e6Drs/ZefkXHZP9L2kaO8Y3Yf3ewyXOKwooKGi1GjrFx7iO//OWazmRcZaIkEDiwsNoExPJFW2b0ym+SakA5/4xQ7l/zNCLjqNYRGgIS199qkJtPcVtQVPnzp0vWXfOy8uLLl260KVLF3d1K0QpWQdO4a0/SUSMc/r4hT968VWgMzD6Nr8Rb31+t6utBExCiIoym80s27yXldv2sOdYKmmZ2Zwz5VGgFlFktXJtny58//JkANqMf5qDKWnl3mv5pl2uoOmXLXspstrKbZvzl+AnLMh40aCpcciFJa4HrhvCwRNp+Pt6E2I0EhUWSOumkfRuG8/Qrp0ICfF3tf3fE3fxvyfuuvR/CECPNvH8+eH0CrWtb9wWND344IPcc889ZGRkEB4e7q7bClFpO577hjbdVqJoHOzODGIckXgpsFP150xUi1o11SuE8Kx3F63gve9+4Zwpj7zCwvMblu0UzwF0bh7LjpnOmqox457gnLn82ZvV2y6UD7MUFV2037/OJ/Vu15yjaWcuLF1pNXhptfgY9Bh9vbk5sZer7crXnDMx/v7+f79lKeOH9XMFZsI93BY0jRs3jp9//pnrrruOb7/9lsjI0mUqhKhuJ1fsxtv7NBGxzlmmtzb2YqY/2B3wXUEYr7493sMjFEK4077jJ/nu960M7taWPh1aATD2xXf5/o+tzre1ylgAaRoewokF7wAwbfa3ZJnyyr3/0VOnXZ+DjX4XDZpaRDd2fZ56+yhe+/InwoMDiI8Kp11sNAM7ty5zj8785x9k/vMPVuh5KxIsierj1jxNU6ZMYcSIEXTs2JE777yTkSNH0r17d/z8/NzZjRDlOvjhKtr0WEUROhanDKZlXA/+z0uHwWpHFxuGxWKRzd5C1FLFm5zX7NjP4dTTPHLDMB6+4SoAOt05hd3HTpZ7bdT3QaQucr7dtWrbXops5S93ZZsuBD7RYcGlgiaNAlqNFoNex/UDeriOr35rCtmmfDq1jL3ks/xjRCL/GCHVBeobtxXsXbp0KTfccAOqqrr2NimK4ircW5xqoDhnU0NfwpOCve534JPVZP62mm5Xv8a81AmkWaJKtZGivELUnOLNz9+t3cK2pBOknsni8bHDeHLcCACajXuc4+lny73+r6+5h46876IzQkH+vpxb8hEAQx6fwcrt+1AU0Go06HVa/Ly9CTb6Edc4lLtHJDL2L0teQtR4wd6pU6disVgYOXIkw4cPL1F37tChQyQlJbFgwQJXIGW1Wt3VtRAApC7dRZvuv7Ihuw9plii8rDZGZWdxLMeH4926UVgkRXmFcIddScnMXLqGDfuPkJx+lsfHXs0zt40EoOmNj3Dy7Llyr31r4XJX0GTKLz9/D4BOe+HV9hsGXMG8X9bho/ci2OhHZGgQHZpFc2W3Dgy/on2JZaviV+6FcDe3BU2HDh2ia9eufP/996XOFRYWsmvXLnbs2MG2bdsk5YBwu60vfovB9xyRcZv4OvlRAEZlZ9E6v4BZeZG88ZgU5RXiUnYlJTNr+VrW7UnigZGJ3HHtIABa3voEh09llHvdO4uWu4KmgktsgPbWe7k+3zsikY+WrCYiJIA2TaMZ1qsjtwy6osx9Ox8/dRcfP1Wxt7uEqC5uC5oiIiJo3bp1mee8vb3p2bMnPXv2dFd3QpSQvSuF1t1WomhsmKzOqdVYi4VVhcF0HdHX+V2K8ooGymw28973q0no0IIBndsC0PO+F9l84Gi510zJyHQFTbmXmBHyNVzY2Pz4DVfzwQ+/EhMeSrcWcdx8ZS9Xn3/38j038fI9N1XyaYTwHLcFTTfccAPfffed/BiJGrf+gdkYfLKJarYBRQG71YJGZ+CowZsVmcG8cecgQIryivrv0Xfm8unSNRSqRSUSFxaLCAkk7dv3AEi+yF4iAPtfXju7+5qBvP/9rzQODqRjs6aMHdSDMf17lJm+49kJ1/HshOuq+CRC1E5urT23aNEiXnrpJSmRImqMqqoUpOXQqutKNFobKWZf4nMKOR5qYElQCM1aNpeivKJOO5F+hje+XsbqHftJOZOFuaAQq83uOh/TOJTkr98G4KvVf5JvUcu9l/kvNcDG9O/GZ0vX4uutJzwogE7xMeUGQzIjJIST296eS0xMJCgoiB9++IGbbrqJF154gbZty56SFfL2nLusf2A2tnMnSLj2X2i1Vp79dTAvaOKYHR5Behl/C5a350RtYzabeWn+En7asIPjp8+SX6gyqHMbVr49FYDGox8kIzu33OsNXl4U/vIZULKQqpdOi9HHm2aR4Qzr0YGHbxhCRGhI9T+QEHVQjb89t2bNGtfnr7/+mgULFtC8eXOuuOIKunTp4ko3EBoa6q4uhaAgLYcWnVej1VpJy/NmeGEsBh8HMScsmDs2Q9HlSlFe4XFbDhwl32Jx7e258rF/s2rH/nLbr/tLDbAW0eGlgiaNRsHXoCciOJB7R114qeG7lx9z78CFECW4LWg6duwYO3bscKUZ2LFjB4cPH+bw4cN8+eWXrj0k0dHR5b5lJ0Rl/Dl5PlqvAqLjNwDwyaZevOADRQ6FX/NDeONpZ4052WcnasKGPYd48sMvOXAijdz8ghJLaFByRshyiZQr8VFhrs/LX30CvV4v5X+EqAXcFjTFxsYSGxvLdddd2AD411xNxf/cu3cvS5YscVe3ogEzHztL01Yb0XlZyLZ4MTivGfjAKkswLQZc2LckAZNwF1VV+efHC/jmt02kn8uhddMI9sx+FYDJH3zBxn1Hyr/WeuFV/OcnXMcNL7xLk0YhDOvRgSm3jyh36UzKZghRe7i1jMrfBQQE0L9/f/r37+86ZrPZOHDgQHV2KxqALc9+g6LYaNrydwAW7OrEPT4KRQ6FFQUhvPHocA+PUNQHX69cz52vfkqBWnbuoX3HT7k+Txjat0TQpNNqCPTzpV1cFJOG9efWoQmuc8N6dsb886fVN3AhRLWo1qCpLFqtlvbt29d0t6KeydmXSniT3fj4ncNi09D+TDswOGeZYvt08vTwRB1yOCWdJ/73BWt3HiQnrwCjrzfZP30MwKmsnHIDJoCQwAuzQPePGcr9Y4ZW+3iFEJ5z2UFTVlYW3t7e+Pr6Xnbn+fn5FBYWEhIib3SIitvxyo8ANG6xjlVnE9mYeQVFLXz502rlTKaeaQ/LD5co377jJ+ly13PlFnTNyStwfX587HAmv/8FGkUhyN+XAZ3a8M7DtxET0aimhiuEqEUuO2hq1KgRd9xxBzNnzrzszh988EHmzZsndehEpWT+eRSfkBMsLkh0FuU9v2XJpNPh3djOnDlzJK1AA7dkw3amzfqO/cmp5FtUNBoF26q5AMSEBZUbMAGEGP1KfHf8Nq9axyqEqDsuO2hyOBy4I8WTm9JEiQZi33u/AJDZLI00S2v0FDDyrJkmhRZm2GIJa2uQorwNlNeVE0u9sVbsr9mt/f390SgKGo2GqLAgbhncm/+783p5O00IcUlV2tP0xx9/MGnSpCpdL0RlpK3ch8Enm51EAhCTlU6HAg1/WAIJatGG4cPbSFHeekhVVf49fwnzVvxBypksiqzOmaK/zgKVFzBpFAjyLzl7ZFs9t/oGK4Sot6oUNBXnYaoKeR1cVFTSXGeQHd1iLSab843Ma/K9ABsrC4J58cUbMZlMgBTlrS+8rrwD60WW0tIzs1yv6ht9vCmy2WjVJIInb76G8cP61dQwhRANxGUHTatXr3bnOIS4pBPfbUWjtdC0xR8YUzpjsgaQ6m3gVK7C2VDnzJMU5a1bzGYzd742i5837cRcYAHAsmKma6msvIBJp9XQODgQtejC+dxln1T/gIUQDdplB00DBw505ziEuKhji7cAEBm3GZ2XhXZ+u/gzpx/LgkNwFCg8O/0G9uzZI0V564Ahj89gza4D5S6nTf10Ia8/cBsALaMbk5GdS6828bx23y10ahlbk0MVQogSajxPkxCX4+jcdYCd2DYrnQfSc4nUWkjTG6ApfPTRu662kZGRJCQklH0jUWNUVeWFWd/y6U9rmP/cfQzr2RmA1Tv2YS/j/Q+NotAkPIRxg/u4jh2a/3pNDVcIIS5JgiZR66X+ugccEBq5Hx+/c1jtCh3PtCZRc5r3DdHYYgPIz8+Torwepqoqj7/3BfN+WYepoLDEuQffmsvhL98AoEV0BIdOpmPw8qJ3u3jmTrlX8h4JIeoECZpErXfgA+fsUlxbZ7qBrcea00vRkWPTsC/NyKfvPSmbvj2s9e1PcehkernnrY4Le48Ofv5aTQxJCCHcToImUatlbDwMDvAPPEVQ2HEcDghI7gbA8sJQbr7Lmf1bAqaasXD1nzz0zlwysnNpHBxA+nfvA9AuNrpE0KRRFFo2ieDjJ+9kQOe2nhquEEK4lQRNolbb87pzY3fs+VmmpIxw2jr8sDgU1lgCef+aLh4cXf2XlWXm2udeZ8vBY6U2bp8+l+v6PG/K3XS79ySfPn2XBElCiHpLgiZRa5nTc3DY7HgZTDRusgOAnKQrAFhjCaZNghTmrU4b9hwi4aF/lXlOAdrFRbm++/v7y6ZtIUS9J0GTqLW2Pv0VAE1brkHRODiT58sVlnDsDlhZEMyrT1zr4RHWH3fM+IgvVm7AarNhX+3Mst2nQ6sSbfx8DDw0egiv3DvOE0MUQgiPk6BJ1FpWUyEaTRFNW/4OwOH93WkEbFEDsEc38ezg6jiz2czVz7zJhr2Hsf+t/uPC1X8yNrEXAM+Pv44HRg92Zd0WQoiGzG1B09y5FavlpNfrCQ0NpXPnzoSHh7ure1HPbJ6yAIDGMVvReakUWrV0y4kHYHlhEC+/fosnh1en+Q6bRIGlqOxzBi8C/Lxd3//vrhtralhCCFHruS1ouuOOOyr1BpOiKAwZMoR3332Xli1bumsYop7IPZAGQFzbXwHYl9Sebmg4VOTDcUMjqUhfQau27uXWlz7g2duv4+EbriqzTYjRj/9NvtM1uySEEKJsbguaXnjhBY4fP87cuXPx9/fnqquuIiYmBoCUlBRWrFiByWRi/PjxGAwG1q9fz4oVK+jfvz9bt24lOjraXUMp07Rp05g+fXq553U6HUVFZf/tu9igQYNYs2ZNmec2b95Mjx49qjRG4XR0wUYA/INO4ms8i8MBzU63A2BZYQgz3rnNk8Or9bKyzPR66EUOn8pwHXvm469dQdOr94zjjYVL+eFfj0tZEiGEqAS3BU3jx4+nZ8+eTJo0iTfeeIPAwMAS53Nzc5k8eTLfffcdf/75J/Hx8Tz11FO89dZbvPLKK7z77rvl3Nk9rr/+elq0aFHq+K5du3jttdcYOXJkhe4TFhbGW2+9Vep4fHx8lcconI599ScAsa1XAZCcHkmczYfTNi+22oJ5NCLIg6Orva579k1+XL8dR1klSjQXZoEfvuGqcmedhBBClE9xOMr6v9jKu+mmm9i2bRuHDh1Co9GU2cZut9OqVSu6devGggULUFWVZs2a4evrS1JSkjuGUWn33nsvH3/8MUuWLOHaay/+NtagQYM4fvw4x48fr3K/ubm5BAYGkpOTQ0BAQJXvV1/kHstg8+QvsXsVoum3gp2mLpisARitVjTZ0GPsTfQb0NHTw6x1Zv/0G3e+NrPU8b4dWrLqzWdkOVMIIS6ior/JZUc3l2H16tX06tWr3IAJQKPR0LNnT1atcs4g6PV6OnfuTGpqqruGUSl5eXl89dVXNGnShKuvvrrC19ntdnJzc3FTvCn+YtvUb7BqHOxvc44/zg3AZHX+j9ek05ETpmPfgQ1YLBYPj9Kzthw4Stio+9EmTnAdu+PaQa7PUaFBJM17Dcdv8/jjvRckYBJCCDdxW9CUn59Penr5taeKnT59msLCC8U8AwIC0Ok8k/lg4cKF5Obmcscdd6DVait0TWpqKv7+/gQGBuLv78/111/PgQMHqnmkDYOqqtgKi0gNL+Sc1gdfbR4D7VuZnHqSmFOFaDRepKWlsX79ek8PtcapqkrnSVNRBo3nivteJDPXjN3h4MkP5rvaWFbMxPHbPFIXvUuLphGeG6wQQtRTbguaOnbsyO+//87vv/9ebpu1a9eyZs0aOna8sLySkpJCo0aeqXA+c+ZMFEVh0qRJFWrfrFkznn76aWbNmsXChQt54IEHWLZsGb169WL37t0XvdZisZCbm1vijyhpx3PfApARVgDA1Y2WMijDDz+bjZ1n/RgzZhQA27dv99gYa9qqrXvxGzYJw1V3setoSolzGkUhIuTC3kGZURJCiOrltimep59+mhtvvJFhw4YxYcIEbrzxRpo2bQo4A6NFixYxd+5cHA4HTz/9NAA5OTls3bqVG264wV3DqLCDBw/yxx9/cOWVV9KsWbMKXTNr1qwS32+88UZGjRrFoEGDmDx5Mr/88ku5186YMeOib+8JMCWdxoEDi84Zy/uaVSjyYWuREZ/YOGJjnW96mUwmHA5HgyjSO/q5t8n/W06ljs2asP7dZ/H39/fQqIQQomFyW9B0/fXX89Zbb/HPf/6TTz75hE8//bTEeYfDgV6v56233mLMmDEAZGZmMn36dK688kp3DaPCZs50bpq9++67q3Sf/v37M2DAAFavXk1BQQE+Pj5ltpsyZQqTJ092fc/NzXUFlQJSV+8DQKstwqjNxWQLIPuMs87cyoJApr9yE4cOHQLAaDTWy4ApK8tMp3umogAp3/wXgOWvPUXCQ//C4OXFVy88yOj+3T07SCGEaMDc9vZcsWPHjjFz5kzWr19PWpozQWFkZCR9+/blzjvvrBWv5lutVpo0aYLVaiU1NRWDwVCl+915553Mnj2b1NRUoqKiLn0B8vbc360a+y4Oq50mzX8nNfYca7MG4muz0Scrl88ymzD52atZtmwZ+fn5DBgwgMTERE8P2W2Wb9rJqKlvoVptrmOWFTNluU0IIWpIRX+T3b4Du1mzZrz00kvuvq1b/fjjj5w+fZpHH320ygETQFJSEjqdjpAQqc91OVRVxWG1AxDbdiVx3gXsz+zMWW0QKxsFE9soj0WLFgHOADwhIcGTw3WbxWu3Mnbaf7Ha7CWOaxTYdfQkPdp4/i8YQgghLmiQBXuLl+buuuuuMs+npaWRk5NDTEwMvr6+gHP/lb+/f6m37H766SfWrVvH8OHD8fb2Lut24hK2PfU1AL7GdLx9c3A44O4zp1lrUPjdJxCt3rkk17VrVxISEtwS6Hpa8Ih7yTbnlzhm9PFm1VtTJFgSQohayu1BU35+Plu2bCEtLe2i+XQmTJhQ7rnqdOrUKX7++Wd69uxZ4i2+v5oyZQpz5sxh9erVDBo0CHDmoZo8eTIjR44kPj4enU7Hpk2b+PzzzwkLC+Ptt9+uuYeoZ/JOZAHQrN0KAM6djSLE4o0+B/zadOTpZ8fUuz1MkaGBrqApNMCfQ7NfIyRENnYLIURt5tag6YUXXuCtt94iPz+/3DbFbz15KmiaPXs2Nput0hvAW7duTY8ePViyZAmnT5+mqKiIJk2acN999zF16tRqr51XX51YutP5QbET3sT52T+tNQArCo289Nz1nhqa27z+1RKe/uhrtBoNRSvnALDjk5foOOlZtv7vRXkLTggh6gi3bQT/z3/+wzPPPINWq2X48OG0atUKo9FYbvsXX3zRHd3WWbIR3GnVje/isNkJit5FTutj7MjpiskWgK/VxqlsX155/fE6uxw3bda3/N+c7/jrv2BfPX8/N19ZP/ZkCSFEfVHjG8E/+eQTfHx8WLt2Ld26dXPXbUU9pppVHDY7Vo2DTZE+ZGQNdJ3L12kJCrMwZ84cJk6cWKcCp2c++opXv/yp1PHYiFDG9O/hgREJIYRwB7cFTSkpKQwePFgCJlFhW5/5EoBTEWYyrI3w1eYx3JROeJY3LxY1Jb69t6tsSl1JMVDWBu9WTSLY/dnLkkJACCHqOLeVUYmIiMDPz89dtxMNQH5qNgBnGzmDjCsDVtMhU8uuAiM9+vRm+PDhQN0qmzJhaF/X547NmuD4bR4HP39NAiYhhKgH3DbTNG7cOGbOnEleXp4ET+KSMjYeBsCBg3zFufTW7JweUFhZ4MeMe4diMpmA2l02pctdz7H3eIprg/c7j06gQC3i46fKTmchhBCi7nLbTNO0adNo27Yto0aN4vDhw+66rain9r69HABfYwZGnbN4cWpOO05YDaR4BQGQnJwM1M6yKU9+MB9l0Hh2HknGarPT54FprnMSMAkhRP3ktpmma665Brvdzm+//Ubbtm2JjY2lSZMmaDSl4zJFUVi5cqW7uhZ1kN1iBaBFxyUUeoexNmsgy/wj8TXbmPrUaPbs2cOyZcsA6Nq1qyeHWsLvO/eT+NgM7H976fSvy3JCCCHqJ7cFTb/99pvrs81m4+jRoxw9erTMtrVt1kDUrH3v/XL+k42wqL30Rcfhs11J0waQH61l4TfzXG1rU9mU6Bsf5tTZ7BLHhvfqxNJXn/LMgIQQQtQotwVNx44dc9etRD2XtmofAGFR+9Bo7Oisdiamn2WBtxdHg42gWGtd2ZTlm3aWCJgahwRw4qu3ZIO3EEI0IG4LmmJjY911K1GPqWaV4myP8e1/BsB2uhkGm5bkVB0vvvNsrdn0raoqAHq9nmE9OxMa6M+53Dz+/HCa1IcTQogGqEEW7BWes/WZrwBQFCv+QakAeJ2O56zNiy1Wn/PnPB8wvTL/R6Z8soBGgUYyvv8AgLPff+jhUQkhhPAkCZpEjcpPPQdAWLPNrM5MdJZN8Q9AZ7BzQ2IrLBaLx5fjYm56lJQMZxHhMzkm0jOziAgN8eiYhBBCeN5lB03x8fEoisKvv/5Ks2bNiI+v+HKFoigcOXLkcrsWddSZbc59b1aNg/WhIZzOaus6Z/XScPTYPubMOeexsilbDhzlivtK1kS8ObGXBExCCCGAKgRNx48fB6CoqKjEdyHKs/c1ZwqBUxFmThc1Pl82JY2CM8HM9oslLsbusbIpI595gyUbd7i+KwrsmTWDdnFNanQcQgghaq/LTm5pt9ux2+20atWqxPeK/hENj63QGWAXl00ZFrSSDpk6Npj9eeuNhz1WNuXJD+aXCJhaRIVjXz1PAiYhhBAluC0juBAXc+SrDcDfyqbkarA4NPxW4IVer3e9gVlcNqWmvP7Aba7PHzw6gaQv3qixvoUQQtQdshFc1IjkRVsA0HnlY9TlYrIGkHyuPdlqAAOGXOFsU4NlUzrdOYX7Rw3m/jFDAUia9xoxjUMk75IQQohyXXbQNHfu3Cp1PGHChCpdL+oWh9W5JBvf4WfsATpn2RSfGPL1diZPGlhjZVNUVSVoxH0UqEU88M5chvboSIumEbRoGlFtfQohhKgfLjtouuOOOy5rNqA4caEETQ3HgU9Wuz5HN9tIY43C4azOpGmDIEbLm2++6TpfnWVTDqek03J8yZIn+YWWaulLCCFE/XPZQdMLL7xQKmg6cuQIn3/+Ob6+vlx11VXExcUBzmWXFStWkJeXx+23307z5s2rNGhRt5xavhsAvXcOWl0RWmBi5knm4ENmZCCqWljtZVM+/O4XHnjnwuyoXqfFtPRjWY4TQghRYZcdNE2bNq3E96SkJHr27Mntt9/O22+/TUhIydw2586d47HHHuPHH39k48aNl9utqIMcNuem7uYdfwTAnhuCId/I3iyFd/77z2ovm/L3dAKxEaEc/+rtautPCCFE/eS2t+emTJlCcHAws2bNKhUwAQQHBzNz5kyCgoKYMmWKu7oVtdzO15a4PkfEOFMJaE7Hk2o1sNOmBaq3bIqqqiUCppsTe0nAJIQQ4rK4LWj67bff6N27N1qtttw2Op2O3r17s2bNGnd1K2q5sxucmd8N3llotDYcDiAjjt8sRub+94Fq71+v13NzYi8Avnr+fr568aFq71MIIUT95LaUAwUFBaSlpV2yXXp6OoWFhe7qVtRiqqqCw1k2Ja/dYd48OhmTNQBjsJVkq8KNEcHV1u+EGR+7AqSvXnxIgiUhhBBV5raZpk6dOrF27Vp+/fXXctusXLmS33//nU6dOrmrW1GL7X55CVaNg90tzGy3t8JkDQDApNMREqllzpw5WCzufXtNVVW8h93F16v/pMUtT7j13kIIIRo2t+5pstvtjBgxgkmTJrF8+XIOHDjAgQMHWL58OXfddRfXXnstDoeDZ555xl3dilose3cKqeGF5Pna8NXmcUPkQiZn7cX/pIqvr6+rzpy7ZGWZMVx1F8XJxFMzz7nt3kIIIYTbgqZRo0bxwQcfoNFomD17Ntdccw3t27enffv2XHPNNcyaNQtFUXj33XcZNWqUu7oVtVTx0tzpEBWA4eFL6aA5iY/Zn9/SHG6vM7fv+ElCr7/f9d3o403Bis/ccm8hhBAC3FxG5b777uOaa65h5syZ/PHHH5w6dQpwJizs378/d955pyt3k6jfdj7/HQ4cqHrntE+sTzKkNGd3kT9ekSGl6sxV5Q26VVv3cuUTr7i+Nw4JIP3b96v2AEIIIcTfuL32XExMDNOnT3f3bUUdk5uUjoKCvghUL0guiKVDRiyrC334du6T7NmzB6h6nbldScklAqZWTSI4+PlrVR6/EEII8XduW54Toljx0hxAW6+jACw7fS07bU35TVXcWmcuyOjr+ty7XXMJmIQQQlQbCZqE2+17a4Xr81XNFhJpOEW+3ZfFYY3o3tWHRYsWkZ+f75Y6czERjTAt+ZCJw/qx4YNpVRy5EEIIUT63Ls85HA7mz5/P999/T1JSkmu/yt8pisKRI0fc2bWoRbI2OWeXFI2Kr66AiU1ns37vRNZqInF4adxSZ67JjY+w6+N/ExLij7+/P7On3OvORxBCCCFKcVvQpKoq1157LatWrSozUAJnsFTeOVF/OOzO/47j2v4KChhULf1OW3k5vYBflrxa5bIp3kPvxFJkJfT6+zEt+RB/f393DFsIIYS4KLctz73xxhusXLmSESNGkJSUxPjx41EUBYvFwv79+5k2bRp+fn489dRT2O12d3UrapmkuX+4Pse0Ol8u50wsO1Qj1kZV2/QNEDziXixFVgB0Wq0ETEIIIWqM22aavv76a0JCQvjiiy/w8/NDo3HGY15eXrRu3ZoXXniBxMREEhMTad26NZMmTXJX16IWSVlyPu+SYkOnO5/tOyOWlYUGVsz/Z5XuHTfuMbLN+c7bA3nLPq7S/YQQQojKcNtM0+HDh+nZsyd+fn7OG58Pmmw2m6tN//796du3Lx988IG7uhW1jKPIOYsY3Xw9KOBQ9ajnIlmWZ0ev11/2fXvd/yLJ6Zmu77lLPqzS/YQQQojKcttMk1arJTAw0PW9OHg6c+YMERERruPR0dH8+OOP7upW1CInV+wGnAV6U6LyWHq+QK8h0k5TXwcWi+WyNn7f+Px/2bT/qOt78ldvyrKcEEKIGue2mabo6GhOnjzp+t6iRQsANm7cWKLdrl275Aevnjo8a62rQO/63N6uAr0WnYaWoZdfoHdr0jHX5zXvTCUmopHbxiyEEEJUlNuCpt69e7Nnzx7Xj+I111wDwGOPPcbPP//M7t27efjhh9m/fz+9evVyV7eiFrEVFpUs0Nv4Gx5KP8rOpMIqFeg99tVb9G7XnLlT7mVA57bVMHIhhBDi0twWNN1www14e3uzYoUzsWGLFi147LHHOHHiBNdeey1dunTh/fffx9fXl//85z/u6lbUEpk7TwB/K9BrO8sRcxCHiypfoFdVVRau/tP1fcMH0xg/rJ+bRy2EEEJUnNv2NF177bWkpaWVOPbGG29wxRVXsHjxYs6dO0erVq145JFHaNmypbu6FbXE3jd/Ll2gN60tqwq8+O3j5/Dych6vaIHewBH3UagWkfDNz6x7/8VqH78QQghxKW4v2Pt348aNY9y4cdXdjfCwotwCFBQMRWA5X6C37dmmLC9w8EyIf6UK9Ha56zkK1SIAth46Xt1DF0IIISpEas+JKlPNqutze5+DgLNA7wpbHBkGW6UK9E6b9S07jyS7vuf+9FE1jFgIIYSovGqZadqwYQNr164lNTUVcL5Z179/f/r06VMd3QkP2/nyYtfnITHfkpY6kTRLFJsaw02NYdGiRQCXLNB7Iv0M0+d85/q+5p2pkotJCCFEreHWoOnQoUOMHz+eLVu2ALjqzBUvx/To0YPPP/9c9jTVM7kHi/ey2fDRWpwFevdN4Fei0OsrXqC32S1PuD7fO3KQvCknhBCiVnFb0JSWlsbAgQM5ffo0UVFRjB07lri4OBRF4fjx4yxcuJDNmzczaNAgtmzZQmRkpLu6Fp52vgZzVIsNzgK9NgdxpzTMSc0kZfm7Fao31+OeF7CfD7JDA/353xN3VeeIhRBCiEpz256ml156idOnT/P4449z9OhR3nrrLR599FEeeeQR3nzzTY4ePcrkyZNJS0vj3//+t7u6FR6W/ONW1+fm7ZY7P2RGs7bAn0k3D6pwgd5Hb7jK9fns9x+6dYxCCCGEOyiO4jW0KmrWrBne3t7s37+/3DYOh4N27dpRWFjIsWPHym3XEOTm5hIYGEhOTg4BAQGeHs5l++22D7HlOzeCXzn2MWcl3b0DuGVnD7788Y1K3UtVVU6czqJF04hLNxZCCCHcpKK/yW6baUpLS6Nbt24XbaMoCt26dSuVz0nUXcUBk39QinOVzqGQkRHH7wX5Fbr+0XfmoqrOe+j1egmYhBBC1Fpu29MUEBBASkrKJdulpKTU6ZkVcUFhlhmrxkFqeCFZkRp+TpqGUWPGx6CjbTvfS17/5Afz+e93v/Df735h5RvPMLh7+xoYtRBCCHF53DbT1KdPH9atW8dPP/1UbpulS5eybt26i752LuqOrf9ezO4WZlIiLOQ5/AAw2f3JCPNmbPvwixbnVVWVNxb87PreLk5eDBBCCFG7uS1oeuaZZ9BoNIwZM4bx48ezbNky9u/fz/79+/n555+ZOHEiY8aMQaPR8Mwzz7irW+FBB/NPkudrw8sKNzT+hsnxr3OtKZkC1U56evpFi/NGXP+w6/PEYf2ICA2piSELIYQQl81ty3N9+vRh1qxZ3HvvvcyfP58vvviixHmHw4GPjw8fffQRvXv3dle3woNOBzv3IvV0HKFD4B5QvclOC2CjIY/EWCPbt28nMTGx1HWfLFnNObNzz5NOq2H2lHtrdNxCCCHE5XBrcsvbb7+dQYMG8cknn/DHH39w6tQpAKKioujfvz933XUXTZs2dWeXwkOOfL3BVZy3W1xxqoEolucrvPTkHaz8YVG5xXnvef2zC/eZ/3qNjVkIIYSoCreXUWnSpAnTp08v9/xnn33GyZMneeGFF9zdtahBKYu3o49XUPUOTlkbE0IGtswm/JxfxEQvZ5uyivO2vPVC1u++HVoSE9GoJocthBBCXLYaL9j7ySefXDSoEnWDrbCIxlnOunDLzl7NntwO7DjTCp9QzUWL8xr0zjhdAf54TwJnIYQQdUeNB02epChKmX/8/f0rfI+lS5eSkJCAn58fISEhjB07tsEl6jSn5wAQneFNI8058m1+LEq/kSXRTbi2dSj5+fnlFufdM/tVVr7xDL+9M7Wmhy2EEEJUiduX52q7/v37c88995Q45uXlVaFrv/32W2688UY6d+7Ma6+9Rk5ODm+//TZ9+/Zly5YtREVFVceQa529rzvTSujsCpNiP2ZDTm+2Z12BCd8KFeeVfExCCCHqogYXNMXHx3P77bdX+rqioiIefvhhmjZtytq1a12zU8OHD6d79+5MmzaNjz/+2N3DrZXMR8+c/2RHrykiMWw1XY770mx7Y7JXzSzzGmXQeHwMXhz94nVJLyCEEKJOalDLc8VUVcVsNlfqmjVr1nDq1CnuvvvuEst5Xbp0YdCgQXz99dcUFRW5e6i10/lqheExO9ForWDT8sfpOMIjg8ts3m7i0wAUWIp4+qMFNTVKIYQQwq0aXND0zTff4OvrXEYKDw/n4YcfJicn55LXbd68GXDmo/q73r17k5uby6FDh9w+3tomY9MR1+fm7Zc6P5yLYJlZyzfTHi7VPivLzP5kZ61BBZg79b6aGKYQQgjhdg1qea5nz56MHTuWFi1akJuby9KlS3nvvfdYs2YN69evv+iG8OKcU9HR0aXOFR9LTU2lffuy9+tYLJYSZUVyc3Or8igec/Cj1a7P3t7OYNOa2YSf8yx80DK2VPvY2x5zff7sqbuqfXxCCCFEdbnsoEmr1bpzHDXizz//LPF9woQJdOrUiWeffZZ33nmHZ599ttxr8/OdGazL2tzs7e1dok1ZZsyYUS9SLahZeQBotQUoWisAB0435xSl68wt2bAdc4HzuMFLxx3XDqqxcQohhBDudtnLcw6H47L/1CZPPfUUer3+ooWGAXx9fQHKLEJbWFhYok1ZpkyZQk5OjutPSkpKFUbteXHtfwXFDoW+LDsTxrjBpUvjXDf1LdfnPZ/NqMnhCSGEEG532TNNdrvdnePwGC8vL6Kiojh79uxF2xWnE0hNTaVt27YlzqWmpgJlL90VMxgM5b6CX1ccnr8eq8ZBanghO726YErqj1HJZ1+wg3cfurVE20+WrMZ+PkBuEhZMi6YRnhiyEEII4TYNbiP43xUWFnLy5EkaN2580XZXXHEFABs2bCh1buPGjQQEBNCqVatqGWNtcXzZdna3MJMSYcFkMwJgcvgS18SPL7/8ssQs3D9GJDK4S1s0isKRL6S+nBBCiLqvwQRNmZmZZR5//vnnsVqtjBw50nUsLS2NAwcOlNijNHDgQCIjI/n0009LpCvYuXMnv/32G2PHjq1wksy66oTRRJ6vDS+bgxsiFzK52evEpGdRYLWTlpbG+vXrS7Rf+fZUbKvnotfrPTRiIYQQwn0aTND00ksv0adPH6ZOncr//vc/Xn/9dQYPHszrr79Or169ePjhC6/LT5kyhbZt27Jp0ybXMS8vL9555x1SUlLo378/H3zwAa+88gpXXXUVjRo1qhebvC9GVVVOh6gADPDeQgfjXowFBtak2unYvScA27dvB2D5pp0eG6cQQghRXRpMyoFBgwaxb98+5syZQ2ZmJlqtlpYtW/Lyyy8zefJk1xtwFzN27Fh8fHx46aWXePLJJzEYDFx55ZW8+uqrF93PVB8c+Wwtqt65R6ldqDM4smZF8bM5n3evHMCbO7dgMpl48v3PeWPhcgCSv3qTmIhGHhuzEEII4U6Ko7a9ztZA5ObmEhgYSE5ODgEBAZ4eziX9dssHbIg/i6p3MDrsezqHbOfg5hF03BnKtneeZNGiRRiNRp74YbvrGsdv8zw4YiGEEKJiKvqb3GBmmkTV2AqLaJylJyXCwopzQ9Bqi/jldAw39Yxm2bJlAJy1XfifU+fmpRNdCiGEEHVZg9nTJC6fqjr3MkVneNNIk0W+zY9Fp28kt1U4Lb2LyM/PJzIykjd+3uK6ZsfMlzw1XCGEEKJaSNAkLung+ytd+ZnyHc434ZTzVXuNRiMDBgzgkOqDanMe69pCZpmEEELUP7I8Jy4pffNhdrcwk+drA4ezPp8DBQB/f38SEhIYPP1uV/ttn8oskxBCiPpHZprEJaUE5pHna0NvsznzM8W+RWFyNnZFS1paGt8tWeZq2yGufr9FKIQQouGSoElc1F/zMyX6/OnMz5Tny3cpZsZePxqAU8lHefPBW/HRe7H14//z4GiFEEKI6iNBk7iov+ZnivNPAiDrbBMOFhUSG+vcu2QymXjsxqvJX/GZZP8WQghRb0nQJC7q9O8H0avO/UsZ2kAANp9uSuPgAJKTkwHnZnBFUTw2RiGEEKImSNAkLspW4MzPBLA8ayh7sjvxTUZjXrwx0ZWfacnuZMZNf8+TwxRCCCGqnQRN4pKiM7wJI9uZnynjepp0bEzG4b3k5+dzylTIuhPn6NWuuaeHKYQQQlQrSTkgynV0wUZXfqYCRQcOZ34mBwpGo5Elu5NZd+Icqs3B42OHe3q4QgghRLWSoEmU69hP28vNz5RTUOQKmIb36uTJYQohhBD/396dx0VV7g8c/xz2ZdgU2dwQA3FBcU3FUjQrF3IptSxFK+81TUOlTCvDXPpZLrldNU2xLLt1Ta+ZS6loiqbmnikJiprilsrOsJ3fH8RcR1AHBhhgvu/Xa17Bmec853seyPnynOd8T4WQy3Pivi44JP9dnylfV5/p0rmbWNnYYJGbRUg9NwA2z3rTxJEKIYQQ5U+SJnFfhfWZQqyO08zpFI4Z9nx9IYWg1u0AaOnlTG13N1OGKIQQQlQYSZpEsa4diNfVZ2roFAdA0s3aZCoqry35DwDOdlYcXzbDZDEKIYQQFUmSJlGs+Oi9uvpMN60dANh/tTZ+3rVY8tpzAKRm51GzppPJYhRCCCEqkiwEF8XKupaMJzZc8tLy451uWFpls/ZqLWa+8iRxx48A0OuJUBNHKYQQQlQcSZpE8dSC+kzpHje5hRPrrj1H8xbw+6+/AODt7U3Hjh1NHKQQQghRceTynCgiOyUNAKt8hWc1W3i8xm4cyQQgJSuXPRdv07xDZ2xtbU0ZphBCCFGhZKZJFHFs3lYueGVyrUY2ezMG4pSdgibjL6YcziYzNx+ANT61TBylEEJUT1FRUWzYsIFjx46ZOhRxD5lpEnq0Wi17Ms9wyUuru3suNdeZaw51GBLsg42lgoWi4FWzhokjFUKYs2HDhtG3b19Th1EuIiMj2bFjh6nDEMWQmSahJzY2ljT7PKxzFNrmJtC+6Xck3m7MF9eewsfJjpB6btSoI8+ZE0KI8qLRaNBoNPd9Pzs7GxsbmwqMSBSSmSahp3A62O+yPS1cj+JklYZnZhpbzt4ECgpa/mfaWBNGKIQQDzZ37lyCgoJwdHSkbt26jBo1irS0NN370dHRuLq6sm3bNho3boxGo+Hpp58mKSlJ1yY3N5exY8fi6upKzZo1mThxIuHh4XqzW126dGHMmDFERETg5uaGp6cny5cvJz09neHDh+Pk5MQjjzzCli1bihz7bhs2bEBRFN33UVFRBAcH674vnFWbMWMGPj4+NGrUqOwGS5SIJE1CR1VVUlNTAXBJs8LJ5RoAh695k3inYCG4s50VqqqaLEYhhHgYCwsLFixYwKlTp1i9ejU7d+7krbfe0muTkZHB7Nmz+eKLL/j555+5ePEikZGRuvdnzZrFl19+yapVq4iNjSUlJYUNGzYUOdbq1atxd3fn4MGDjBkzhtdee40BAwbQsWNHjhw5wpNPPsmQIUPIyMgw6px27NhBXFwcP/30E5s2bTKqL1F6cnlO6CiKgm2uBVqrfFKcMrFzLphdWpHojq+rfUEbKxu9v4iEENWLqqpkZGlNcmwHO9sy+fclIiJC97Wvry/Tp09n5MiR/Otf/9Jtz8nJYenSpTRsWLDc4PXXX+eDDz7Qvb9w4UImTZpEv379AFi0aBGbN28ucqwWLVrw7rvvAjBp0iT+7//+D3d3d0aMGAHAlClTWLJkCSdOnKB9+/alPidHR0dWrFghl+VMTJImocfjL2sueWo5VzeLU2lNqGeZxDkrN3r4uwPwWMfS/08vhKj8MrK0aHqMMMmx07Ysx9Hezuh+tm/fzocffsiZM2dISUkhNzeXrKwsMjIycHAoeMKBg4ODLmGCgtpz169fByA5OZlr167Rrl073fuWlpa0bt2a/Px8vWM1b95cr03NmjUJCgrSbfP09ATQ9V1aQUFBkjBVAnJ5Tuipfc0OxwxLsi0sWXf1OeZdHkPfpt442lhJQUshRKWXmJhI7969ad68OevWrePw4cMsXrwYKFhAXcja2lpvP0VRSrX0oLh+7t5WOHNWmGxZWFgUOU5OTs5Dj+Po6Fji2ETZk5kmoZOdlo1VvkJQvAa17W5+z/MjNdeZtOw8ej4RSseOHaWgpRDVnIOdLWlblpvs2MY6fPgw+fn5zJkzBwuLgnmBb775pkR9uLi44OnpyaFDh3j88ccByMvL48iRI3oLtEujVq1apKamkp6erkuEpB5T1SFJk9A58a8tuqKW2dpgnKxSuHnjKrEZLswICZGpYSHMgKIoZXKJrCIkJycXSTjc3d3Jyclh4cKFhIWFERsby9KlS0vc95gxY/jwww955JFHCAwMZOHChdy+fdvoNVePPvooDg4OTJ48mbFjx3LgwAGio6ON6lNUHLk8J4CCopa7b/9WpKiley0v2tZQaPRS5EN6EEKIirVr1y5atmyp9/riiy+YO3cus2bNolmzZnz55Zd8+OGHJe574sSJvPDCCwwdOpQOHTqg0Wh46qmnsLMzLqGsUaMGa9asYfPmzQQFBbF27VqioqKM6lNUHEWV+8dNIiUlBRcXF5KTk3F2djZ1OOzcuZM9e/ZgnaPQXo2jbeBGfjz/KAe0HXC0saKuf2NeHjzQ1GEKIYRJ5Ofn07hxYwYOHMi0adNMHY4oY4Z+JstMkwD0i1oGuxzDySqNH+KtdEUt71z904TRCSFExbpw4QLLly/njz/+4OTJk7z22mucP3+ewYMHmzo0YUKypkkULWrpehVVhe+T3MhSCopapqamoqqq1GgSQpgFCwsLoqOjiYyMRFVVmjVrxvbt22ncuLGpQxMmJEmTKChqmW+J1iKPNJdUrDS3+P22CzdzrGjmUVDU0snJSRImIYTZqFu3LrGxsaYOQ1QycnlOAOBxs6CuSELtHE6lNmNdfFOaeWh0RS1btmxpyvCEEEIIk5OZJgFA7au23NLkkO4A664+B67wnGvBe1LUUgghhJCZJvG3wqKW7W2P4WSVAkCKNhcX73qEh4dLUUshhBBmT2aaBH/uO1OkqOWdvy7zeuT7NKxX29ThCSGEEJWCzDSZOa1Wyzdb1hcpaulaszY7tv6AVmuap50LIYQQlY0kTWYuNjaWVKtsrHMUOmcl8I86n7D//HnSs3NJSkpi3759pg5RCCGEqBQkaTJzdxe1bOF8nAPXNGxLzNMVtTx69KgJoxNCCGEsRVHYsGGDqcOoFiRpMmNFilq6JbHlUsEapsQ7+kUthRCiMhk2bBiKoqAoCtbW1nh6etK9e3dWrlxJfn6+rt3x48d55pln8PDwwM7ODl9fXwYNGsT169cBSExMRFGUIg/+rU6SkpLo0aOHqcOoFiRpMmOKouBgU1C8MsM5HUvNTTZf9AGgra8HIEUthRCV19NPP01SUhKJiYls2bKF0NBQ3njjDXr37k1ubi43btygW7du1KhRg23btnH69GlWrVqFj48P6enppg6/wnh5eT3wDuicnJwKjKZqk6TJzHndtgHgbO1stl5vw50cZ5p5ONLdrwYgRS2FEJWXra0tXl5e1K5dm1atWjF58mT++9//smXLFqKjo4mNjSU5OZkVK1bQsmVLGjRoQGhoKPPmzaNBgwYGHSMhIYE+ffrg6emJRqOhbdu2bN++Xa+Nr68vM2fO5OWXX8bJyYl69erx6aef6rXZt28fwcHB2NnZ0aZNGzZs2KA3w7Vr1y4URWHbtm20bNkSe3t7unbtyvXr19myZQuNGzfG2dmZwYMHk5GRoXfsTz75RO9YwcHBREVF6b6/+/Jc4czav//9bzp37oydnR1ffvmlYQMuJGkyd56JFjhmWKK1tORgai8iQxrwXFNvsrVaKWophKhyunbtSosWLfjuu+/w8vIiNzeX9evXl3qZQVpaGj179mTHjh0cPXqUp59+mrCwMC5evKjXbs6cObRp04ajR48yatQoXnvtNeLi4gBISUkhLCyMoKAgjhw5wrRp05g4cWKxx4uKimLRokXs27ePS5cuMXDgQD755BO++uorfvjhB3788UcWLlxYqnO529tvv80bb7zB6dOneeqpp4zuz1xInSYzZ5mjEhSvgdZ72Z0RgK21LSnaXHp370rHjh2lqKUQZkZVVbTaXJMc29bWqkyWAwQGBnLixAnat2/P5MmTGTx4MCNHjqRdu3Z07dqVoUOH4unpaVBfLVq0oEWLFrrvp02bxvr169m4cSOvv/66bnvPnj0ZNWoUABMnTmTevHnExMTQqFEjvvrqKxRFYfny5djZ2dGkSRMuX77MiBEjihxv+vTphISEAPDKK68wadIkEhIS8PPzA+C5554jJibmvkmXoSIiIujfv79RfZgjSZrMmFar/V9Ry5wgrCwy2XfhJrX9mxIaGmrq8IQQJqDV5jL8BeNnMkpj1dox2NlZG92Pqqq65GvGjBmMHz+enTt3cuDAAZYuXcrMmTP5+eefCQoKemhfaWlpREVF8cMPP5CUlERubi6ZmZlFZpqaN2+u+1pRFLy8vHSLzePi4mjevDl2dna6Nu3atSv2eHf34+npiYODgy5hKtx28OBBA0bhwdq0aWN0H+ZILs+ZKa1Wy2dLPtUramlpaU/H+u60r2khRS2FEFXW6dOn9dYs1axZkwEDBjB79mxOnz6Nj48Ps2fPNqivyMhI1q9fz8yZM9mzZw/Hjh0jKCiI7OxsvXbW1vrJnqIoenfxGerufgrvDHxQvxYWFkUuPRqysNvR0bHEsQmZaTJbsbGx3Ei+hXWOQvusy7Rt8RXxtwNZe62HrqilzDYJYX5sba1YtXaMyY5trJ07d3Ly5EnGjRtX7Ps2NjY0bNjQ4LvnYmNjGTZsGP369QMKZp4SExNLFFOjRo1Ys2YNWq1Wt+Th0KFDJerjfmrVqkVSUpLu+5SUFM6fP18mfYuiJGkyU3pFLev/RmKyFXaZtzl4LZPQuhqOHj0qSZMQZkhRlDK5RFYRtFotV69eJS8vj2vXrrF161Y+/PBDevfuzdChQ9m0aRNff/01zz//PAEBAaiqyvfff8/mzZtZtWqVXl+Fi7bv1rRpU/z9/fnuu+8ICwtDURTee++9Es8gDR48mHfeeYd//OMfvP3221y8eFE302XsGq6uXbsSHR1NWFgYrq6uTJkyBUtLS6P6FPcnSZMZureoZYrtDZr/pzcay1z+2TcIbp3XFbWUGk1CiMpq69ateHt7Y2VlhZubGy1atGDBggWEh4djYWFBkyZNcHBwYMKECVy6dAlbW1v8/f1ZsWIFQ4YM0evr+eefL9L/pUuXmDt3Li+//DIdO3bE3d2diRMnkpKSUqI4nZ2d+f7773nttdcIDg4mKCiIKVOmMHjwYL11TqUxadIkzp8/T+/evXFxcWHatGky01SOFFXKPZtESkoKLi4uJCcn4+zsXOHHnzt3LqmpqVjmQp4VpGTl8vv1O8x8/WU2btyIk5MT48ePr/C4hBDCHHz55ZcMHz6c5ORk7O3tTR2O2TP0M1lmmsyQVqslPy8PKEiYAJztrGhfz51NmzYBUtRSCCHK0ueff46fnx+1a9fm+PHjTJw4kYEDB0rCVMVI0mSGYmNjSc/IABW45+pbfn4+Go1GiloKIUQZunr1KlOmTOHq1at4e3szYMAAZsyYYeqwRAlJ0mSGCheB+1+0R/E5xa959XC2s0Kbp2JrWZBFSVFLIYQoO2+99RZvvfWWqcMQRjKbOk1//PEHU6ZMoX379tSqVQsnJyeCg4OZMWOGwbeedunSRfdU7Xtfv/76azmfQdm4exG4W6o1Kemnmbs/kS8OnuDZ5wcDBbfUylI3IYQQQp/ZzDStXLmSxYsX88wzz/Diiy9ibW1NTEwM7777Lt988w2//PKLQdeW3d3dmTdvXpHtd1dsrcwURcHJyYnU1FTSnLLYm1Jw50Y+Krb5BcXanJyc5K45IYQQ4h5mkzQ999xzTJo0CRcXF922kSNH4u/vz4wZM/jss8/0niN0P46Ojrz00kvlGWq5CwoKYt++fSTUyaKfJhc/1z/YeLkFW7ZsAWQRuBBCCFEcs7k816ZNG72EqdCgQYMA+O233wzuKz8/n5SUlCp7Cat+ihOOGZZoLS04mfkUFs496du4NhkZGXh7e8sicCGEEKIYZpM03c+ff/4JYPATry9fvoxGo8HFxQWNRkP//v05c+ZMeYZY5m7uOENQvIZHOYuTVUGRthwsePzxxwkPD5dF4EIIIUQxzObyXHHy8vKYNm0aVlZWDB48+KHtGzRoQEhICM2bN8fS0pIDBw6waNEiduzYwd69ex/4xGytVqv3ENySVpQtK1qtljPKNa4FasnGH+vcdJT0s4x/ewE1atQwSUxCCCFEVWDWFcHHjBnDokWLmDlzJpMmTSpVH3v27KFLly507dqVn3766b7toqKimDp1apHtFVkRXKvVsnr1ar2HOxby9vaWWSYhhKhGdu3aRWhoKLdv38bV1dXU4VRqhlYEN9vLc++99x6LFi3iH//4R6kTJoDHHnuMxx9/nJiYGDIzM+/bbtKkSSQnJ+tely5dKvUxSys2NpakpCSscxSaXclgdux5vj11lYzsXJKSkti3b1+FxySEECV1v9Ivha+oqCgA1q9fT/v27XFxccHJyYmmTZsSERGh6yc6OrpaJxMdO3YkKSmp2PW8onTMMmmKiopi+vTpDB8+nKVLlxrdn6+vL3l5edy+ffu+bWxtbXF2dtZ7VbTCopZ+l+1JzzlPWnYeOVlX2XM5DYCjR49WeExCCFFSSUlJutcnn3yCs7Oz3rbIyEh27NjBoEGDePbZZzl48CCHDx9mxowZ5OTkmDr8CmNjY4OXl9d9S8jk5eWRn59fwVFVbWaXNBVeJgsPD2fFihVlUo/o7NmzWFlZVeo1QXcXtXRJs+J4bkFBz8ZO6bRrUbAWKzU1tcreESiEMB9eXl66l4uLC4qi6G3TaDR8//33hISE8Oabb9KoUSMCAgLo27cvixcvNvg4W7dupVOnTri6ulKzZk169+5NQkKC7v3ExEQUReG7774jNDQUBwcHWrRowf79+/X6Wb58OXXr1sXBwYF+/foxd+5cvRmuqKgogoODWblyJfXq1UOj0TBq1Cjy8vL46KOP8PLywsPDQ++xK4XHLvxjGODOnTsoisKuXbuAgstziqJw584d4H8zaxs3bqRJkybY2tpy8eJFwwdemFfS9MEHHzB16lSGDBnCypUrsbAo/vSTkpI4c+YMGRkZum3Jycnk/f2Q27v98MMPxMbG0r17d+zs7MotdmMVFrUESNbk8ku6JQCOlnkMC20FSFFLIUT14eXlxalTp0pUTuZe6enpjB8/nl9//ZUdO3ZgYWFBv379iszOvPPOO0RGRnLs2DECAgJ44YUXyM3NBQqWRYwcOZI33niDY8eO0b1792KfOZeQkMCWLVvYunUra9eu5bPPPqNXr178+eef7N69m1mzZvHuu+9y4MCBUp8PQEZGBrNmzWLFihWcOnUKDw8Po/ozN2Zz99zixYt5//33qVevHk888QRfffWV3vuenp50794dKFh/tHr1amJiYujSpQsAMTExjB8/nrCwMPz8/LCysuLgwYOsWbMGd3d3Pvnkkwo+o5ILDg5mz549nKudQUaGNxobLaqdh24BuxS1FEKoqkq+Ntckx7awtSqzP9zGjBnDnj17CAoKon79+rRv354nn3ySF1980eAbXp599lm971euXEmtWrX4/fffadasmW57ZGQkvXr1AmDq1Kk0bdqU+Ph4AgMDWbhwIT169CAyMhKAgIAA9u3bx6ZNm/T6zs/PZ+XKlTg5OdGkSRNCQ0OJi4tj8+bNWFhY0KhRI2bNmkVMTAyPPvpoqcclJyeHf/3rX7Ro0aLUfZgzs0maDh06BMDFixcJDw8v8n7nzp11SVNxGjVqRJs2bdi0aRPXrl0jJyeHOnXqMHLkSCZPnkzt2rXLLfayEhISwpFt+0h3yKNvEx/ddilqKYQolK/NZdcL/zLJsbusHYWlnXWZ9OXo6MgPP/xAQkICMTEx/PLLL0yYMIH58+ezf/9+HBwcHtrH2bNnmTJlCgcOHODmzZu6GaaLFy/qJU3NmzfXfe3t7Q3A9evXCQwMJC4ujn79+un1265duyJJk6+vr+5qABT8IW9paal3RcTT05Pr16+XYBSKsrGx0YtXlIzZJE3R0dFER0eXum3jxo355ptvyj6wCmRra0tQvIasR+KJ09iRme9EWnYePZ8IpWPHjlJuQAhR7TRs2JCGDRvy6quv8s477xAQEMC///1vhg8f/tB9w8LCqF+/PsuXL8fHx4f8/HyaNWtGdna2Xjtr6/8leoUzZSVdYH13H4X9FLetsN/CZOrudaiGLHK3t7eXZRhGMJukydxptVpifviJo4EpZNvUwskihQCO81vdAYSGhpo6PCFEJWFha0WXtaNMduzy5Ovri4ODA+np6Q9t+9dffxEXF8fy5ct57LHHANi7d2+Jj9moUSPdlY5C935fGrVq1QIK1uAWLq24e1G4KB+SNJkBvaKWNgXbUnOdSaUF9ZQUtFqtzDIJIYCC2YyyukRmSlFRUWRkZNCzZ0/q16/PnTt3WLBgATk5OXpLMfLy8ookG7a2tjRq1IiaNWvy6aef4u3tzcWLF3n77bdLHMeYMWN4/PHHmTt3LmFhYezcuZMtW7YYPdtjb29P+/bt+b//+z8aNGjA9evXeffdd43qUzycWd09Z650RS3zFHzPW3Mm8Rdss/eRl5fN1atXpailEKLa6dy5M+fOnWPo0KEEBgbSo0cPrl69yo8//kijRo107dLS0mjZsqXeKywsDAsLC77++msOHz5Ms2bNGDduHB9//HGJ4wgJCWHp0qXMnTuXFi1asHXrVsaNG1cmd1uvXLmS3NxcWrduTUREBNOnTze6T/FgZv0YFVMytGR7WZg7dy6pqak0uuDAzdvXGHP7Gv4uKTR0c6V9Az+cnJwYP358ucYghBCiwIgRIzhz5gx79uwxdSjib/IYFQHcU9Qy1YoEy2sAtKl5m7j0gl8MKWophBDlZ/bs2Rw/fpz4+HgWLlzI6tWri72LW1R+sqapmissapmamsodTQ6/3c4C7HjEMZs6TZtA2nUpaimEEOXo4MGDfPTRR6SmpuLn58eCBQt49dVXTR2WKAVJmszA/4paZpGudUOTkY2NrSdO+WlkIEUthRCiPFX1cjXif+TynBkICQnBRbEn11rlqUa1iQxpQJ5TKylqKYQQQpSAzDSZAVtbW4ISnDhgl8JfNRSc7azQ5mjp3q27FLUUQgghDCQzTeYiNZucv66x8EACCX/+RPRv1wkNDZWESQghhDCQzDSZCxVe873O2303ce66JxZ+Q0wdkRBCCFGlSNJUzWm1WmJjYznYJJm9Nq1wuvAINfMuMPf1AaYOTQghhKhS5PJcNVb4+JQ9e/aQbVNQhyk115lENYj//Oc/aLVaE0cohBBCVB2SNFVjhY9PscgHcguSJjU/m/z8PJKSkuTxKUII8bdhw4bRt29fU4chKjlJmqqxo0ePApBvAVgVFK9ULGywsLAE4MiRI6YKTQghSk1RlAe+oqKi7rtvYmIiiqIUeUivEIaQNU3VlKqqpKWlAWCVq7A2LokLdzJ5qn4ujXz8sbEoeFClqqpSDVwIUaUkJSXpvv73v//NlClTiIuL023TaDSmCEuYAZlpqqYK/+ICqHnLilPX00jLzsMp5woBfz/h++42QghRVXh5eeleLi4uKIqi+97Dw4O5c+dSp04dbG1tCQ4OZuvWrbp9GzRoABQ8CUFRFLp06aLX9+zZs/H29qZmzZqMHj2anJycijw1UcnJTFM1paqq7iG8191yaOahIfFOJs82sOb3Py/qtZHESQiho6qQnW2aY9vYgJH/Hs2fP585c+awbNkyWrZsycqVK3nmmWc4deoU/v7+HDx4kHbt2rF9+3aaNm2KjY2Nbt+YmBi8vb2JiYkhPj6eQYMGERwczIgRI4w9M1FNSNJUTd39oF7VGp5r6gXAYRpAZiaAPKhXCFFUdjaMfs00x168BIwsuDt79mwmTpzI888/D8CsWbOIiYnhk08+YfHixdSqVQuAmjVr4uXlpbevm5sbixYtwtLSksDAQHr16sWOHTskaRI6cnmuGgsKCir44u8Zp4Kvc7GyKsiV5UG9QojqJCUlhStXrhASEqK3PSQkhNOnTz90/6ZNm2Jpaan73tvbm+vXr5d5nKLqkpmmakqr1ZKQkFDwzd2zSYoVubm5eHp6yoN6hRBF2dgUzPiY6tgmZG1trfe9oijk5+ebKBpRGUnSVE3FxsZy7do1rHLhQnIqzhp7nGytdGuYGjZsKM+dE0IUpShGXyIzFWdnZ3x8fIiNjaVz58667bGxsbRr1w5At4YpLy/PJDGKqk0uz1VThTVI6lyyY81vSczZl4i/9luee+45AE6ePGnC6IQQony8+eabzJo1i3//+9/ExcXx9ttvc+zYMd544w0APDw8sLe3Z+vWrVy7do3k5GQTRyyqEkmaqiFVVUlNTQUgOTmPzHwLbC3zyM61oH79+gAFC8TvXuskhBDVwNixYxk/fjwTJkwgKCiIrVu3snHjRvz9/QGwsrJiwYIFLFu2DB8fH/r06WPiiEVVoqjyyWkSKSkpuLi4kJycjLOzc5n3P3fu3ILEKFdFsVLIzMnGUnuB5wZPYOPGjTg5OTF+/PgyP64QQghR1Rj6mSxrmqohrVarm0VS/n58ir21DVj7s2nTJkDunBNCCCFKSi7PVUOxsbGkpaVRXAWm/Px8NBqN3DknhBBClJAkTdVQ4SLwwL9caZvzJ06WKQDY2trp2sidc0IIIUTJSNJUzdy9CNzmmkpX+8OMbziXJyy+ZPToUcD/HtQrhBBCCMNJ0lTNFD4+BeC2gxZrpxsAJKTZc+HCBUAenyKEEEKUhiwEr4aCgoLYt28fF+pnMv32q6h/ZZJrcYdrW7YAsghcCCGEKA1JmqqZux+fUjibpFjYY21nT0ZGhjw+RQghhCgluTxXzRQ+PsXO1o5bt9JI1ebqvS+PTxFCCCFKR5KmaqbwzrkgfNh+9k/m7EukXuY6nn32WUAenyKEEEKUliRN1cjdd85lnrlDQlbBj1djocrjU4QQogIkJiaiKIruD1hRvUjSVI3cfefcqfzbaPMtsLPMJSvHQu6cE0JUK8OGDUNRFBRFwdraGk9PT7p3787KlSvJz8/XtTt+/DjPPPMMHh4e2NnZ4evry6BBg7h+/TpRUVG6Pu73elgMffv2LeczFZWJJE3VTFBQEAD5fvlEhT7CG+39OGvVgS1y55wQopp5+umnSUpKIjExkS1bthAaGsobb7xB7969yc3N5caNG3Tr1o0aNWqwbds2Tp8+zapVq/Dx8SE9PZ3IyEiSkpJ0rzp16vDBBx/obRPibnL3XDWi1Wo5e/Ys8L875+xtbABvuXNOCFHt2Nra4uXlBUDt2rVp1aoV7du3p1u3bkRHR+Pu7k5ycjIrVqzAyqrg465BgwaEhobq+tBoNLqvLS0tcXJy0vV58uRJBg8ezP79+3FwcODZZ59l7ty5aDQaoqKiWL16NfC/f29jYmLw9fUF4Ny5c4wbN44DBw7g7+/P0qVL6dChQ7mPiShfMtNUjezevZsbN27c931fX1+5c04I8WCqCrnppnmVwXrLrl270qJFC7777ju8vLzIzc1l/fr1JV7LmZ6ezlNPPYWbmxuHDh3i22+/Zfv27bz++usAREZGMnDgQN1sV1JSkt4fpe+88w6RkZEcO3aMgIAAXnjhBXJzc+93OFFFyExTNXL48GEAbKxtWHcikbhbWpaHJJFoG4pWq+Xo0aM8/fTTJo5SCFGp5WXAt5qHtysPA9LAytHobgIDAzlx4gTt27dn8uTJDB48mJEjR9KuXTu6du3K0KFD8fT0fGAfX331FVlZWXz++ec4OhbEtGjRIsLCwpg1axaenp7Y29uj1Wp1M1N3i4yMpFevXgBMnTqVpk2bEh8fT2BgoNHnJ0xHZpqqCVVVyc7OBsANezo38CAypAFn81tRt25dALKzs+XOOSFEtaeqqu6S2YwZM7h69SpLly6ladOmLF26lMDAwIeWXzl9+jQtWrTQJUwAISEh5OfnExcX99AYmjdvrvva29sbgOvXr5fmdEQlIjNN1dC1nGSc7Qp+tPkWdsTHx5s4IiFElWHpUDDjY6pjl4HTp0/ToEED3fc1a9ZkwIABDBgwgJkzZ9KyZUtmz56tW5NUHqytrXVfFyZwd9/VJ6omSZqqCUVRsLS0JC8vT/dXVkZ2Nl62t0lRC6ahLS0tpdyAEOLBFKVMLpGZys6dOzl58iTjxo0r9n0bGxsaNmxIenr6A/tp3Lgx0dHRpKen62abYmNjsbCwoFGjRrq+8vLyyvYERKUml+eqCa1Wq/uftzAxcrCx0SVMABYW8uMWQlQfWq2Wq1evcvnyZY4cOcLMmTPp06cPvXv3ZujQoWzatImXXnqJTZs28ccffxAXF8fs2bPZvHkzffr0eWDfL774InZ2doSHh/Pbb78RExPDmDFjGDJkiG49lK+vLydOnCAuLo6bN2+Sk5NTEactTEhmmqqJvXv3PrRNTk6O3rV+IYSoyrZu3Yq3tzdWVla4ubnRokULFixYQHh4OBYWFjRp0gQHBwcmTJjApUuXsLW1xd/fnxUrVjBkyJAH9u3g4MC2bdt44403aNu2rV7JgUIjRoxg165dtGnThrS0NL2SA6J6UlRZGWwSKSkpuLi4kJycjLOzs9H9zZ07V/cIlVt3krGyc8TZzgp7e3syMzOBgmrg48ePN/pYQgghRHVi6GeyXK+pBu5+5hyARuPAjwk3qHEnRq+IW3BwsAmiE0IIIaoHuTxXDRQ+c64wcbKxsua5pt7cwpvNmzcDBeuZQkJCTBmmEEIIUaXJTFM1oNVqH1p/qX379lINXAghhDCCJE3VQGxsLGlp96+rYmFhwaOPPlqBEQkhhBDVjyRN1cCxY8d0X98946T8XWIgPz9f94gVIYQQQpSOJE1V3L2LwO8uJ6DeVX326NGjFRqXEEIIUd1I0lTFKYqiV66/8Cnaan42lpaWuu2pqany3DkhhBDCCJI0VQN3zy5ZWRXcEKlY6Jf3d3JykqKWQgghhBHMKmnKz89n3rx5BAYGYmdnR926dZkwYcJDn0FUVvuXB1VVyc7Ofmg7qdEkhBBCGMeskqZx48Yxfvx4mjRpwsKFCxkwYAALFiwgLCzMoKdPG7t/eVAUxaAZJKnRJIQwR4qisGHDhgo/7q5du1AUhTt37hi8T3nH6uvryyeffFJu/RujNONlCmZT3PLUqVMsXLiQ/v37s27dOt32Bg0aMHbsWL7++msGDx5cbvuXF1VVdWuVVFXlcoqWGvaWONhY67WzsbGp8NiEEKK8Xb16lRkzZvDDDz9w+fJlPDw8CA4OJiIigm7dupksro4dO5KUlISLiwtQkBTc/YQGDw8POnXqxMcff4yfn1+FxHTo0CEcHR0r5FgP0qVLF4KDg/USuHvHq7Iym5mmtWvXoqoqERERettHjBiBg4MDa9asKdf9y8vds0yKolDHxa5IwnRvOyGEqA4SExNp3bo1O3fu5OOPP+bkyZNs3bqV0NBQRo8ebdLYbGxs8PLyKvJvb1xcHFeuXOHbb7/l1KlThIWF6a0/LU+1atXCwcGhXPrOy8sz6orL/carsjGbpOnQoUNYWFjQrl07ve12dnYEBwdz6NChct2/vNx9R5yFmoe9RQYA9vb2ukXh97YTQojqYNSoUSiKwsGDB3n22WcJCAigadOmjB8/nl9++UXX7ubNm/Tr1w8HBwf8/f3ZuHGjXj+//fYbPXr0QKPR4OnpyZAhQ7h586bu/S5dujBmzBgiIiJwc3PD09OT5cuXk56ezvDhw3FycuKRRx5hy5Ytun3ud7nJw8MDb29vHn/8caZMmcLvv/9OfHz8Q2NVVZVHHnmE2bNn6/V37NgxFEUhPj4eVVWJioqiXr162Nra4uPjw9ixY3Vt774897C2t2/fZujQobi5ueHg4ECPHj04e/as7v3o6GhcXV3ZuHEjTZo0wdbWlosXLzJs2DD69u3L1KlTqVWrFs7OzowcOVK39nbYsGHs3r2b+fPn65aXJCYmFjte69ato2nTptja2uLr68ucOXP0zt3X15eZM2fy8ssv4+TkRL169fj000+L/qKUIbNJmq5cuYK7u3uxjxKpXbs2N2/efOCCamP312q1pKSk6L3KgqIoaDQaAPIVSzLzC/6KyMzM1JUf0Gg0lT57F0JULumZWfd9ZWmzDW6baWDbkrp16xZbt25l9OjRxV5ycnV11X09depUBg4cyIkTJ+jZsycvvvgit27dAuDOnTt07dqVli1b8uuvv7J161auXbvGwIED9fpbvXo17u7uHDx4kDFjxvDaa68xYMAAOnbsyJEjR3jyyScZMmQIGRkZBp+Dvb09gN5nx/1iVRSFl19+mVWrVun1sWrVKh5//HEeeeQR1q1bx7x581i2bBlnz55lw4YNBAUFFXvsh7UdNmwYv/76Kxs3bmT//v2oqkrPnj3JycnRtcnIyGDWrFmsWLGCU6dO4eHhAcCOHTs4ffo0u3btYu3atXz33XdMnToVgPnz59OhQwdGjBhBUlISSUlJ1K1bt0h8hw8fZuDAgTz//POcPHmSqKgo3nvvPaKjo/XazZkzhzZt2nD06FFGjRrFa6+9RlxcnME/gxJTzYSfn59at27dYt8bMmSICqi3b98ut/3ff/99FSjySk5OLslpFGvHjh1qVFSUOn36dHXWrFlqVFSUOmvWLHX69OlqVFSUunPnTqOPIYQwL3R+6b6vnhM/1mvr8NTL923beex0vbbuz7xWbLuSOnDggAqo33333YPPA9R3331X931aWpoKqFu2bFFVVVWnTZumPvnkk3r7XLp0SQXUuLg4VVVVtXPnzmqnTp107+fm5qqOjo7qkCFDdNuSkpJUQN2/f7+qqqoaExOj97lw7/dXrlxRO3bsqNauXVvVarUGxXr58mXV0tJSPXDggKqqqpqdna26u7ur0dHRqqqq6pw5c9SAgAA1Ozu72LGoX7++Om/evIe2/eOPP1RAjY2N1W27efOmam9vr37zzTeqqqrqqlWrVEA9duyY3r7h4eFqjRo11PT0dN22JUuWqBqNRs3Ly9ON5xtvvKG3373jM3jwYLV79+56bd588021SZMmeufz0kv/+93Jz89XPTw81CVLlhR7/g+SnJxs0Gey2cw0OTg4oNVqi30vKytL16a89p80aRLJycm616VLlwwN/aFCQkLw9vYmNzeXzMxM4H8zTd7e3nTs2LHMjiWEEJWBWoIlB82bN9d97ejoiLOzM9evXwfg+PHjxMTEoNFodK/AwEAAEhISiu3D0tKSmjVr6s3MeHp6Auj6vZ86derg6OiIj48P6enprFu3Tu9GnQfF6uPjQ69evVi5ciUA33//PVqtlgEDBgAwYMAAMjMz8fPzY8SIEaxfv153xeFeD2p7+vRprKys9J5ZWrNmTRo1asTp06d122xsbPTiLdSiRQu9z8MOHTqQlpZWos+906dPF7nrOyQkhLNnz+qtAbv7+Iqi4OXl9dCfgTHM5u45Hx8ffv/9d7RabZFLbJcvX8bd3f2Bd5gZu7+trW2xl/bKgq2tLeHh4ezbt4+jR4+SmpqKk5MTLVu2pGPHjuV2XCFE9ZW2Zfl937O00P97+/r6xfdta3FP28Sv5xoX2N/8/f1RFIUzZ848tO3dT02Agg/XwkXLaWlphIWFMWvWrCL7eXt7P7CPu7cVLoF42GLoPXv24OzsjIeHB05OTiWKFeDVV19lyJAhzJs3j1WrVjFo0CBdglK3bl3i4uLYvn07P/30E6NGjeLjjz9m9+7dRfp9UFtD2dvbm3zpx8PGq6yZTdLUtm1bfvzxRw4ePMhjjz2m256VlcWxY8d4/PHHy3X/8mZra0toaCihoaGoqmryX2QhRNXmaG9n8rYPUqNGDZ566ikWL17M2LFji6xrunPnjt66pvtp1aoV69atw9fXV+/mmfLSoEEDg+K6n549e+Lo6MiSJUvYunUrP//8s9779vb2hIWFERYWxujRowkMDOTkyZO0atWqSF/3a9u4cWNyc3M5cOCA7krFX3/9RVxcHE2aNHlojMePHyczM1O3ZuuXX35Bo9Ho1i7Z2Ng89I7Bxo0bExsbq7ctNjaWgIAAvUeEVTSzuTw3aNAgFEUpUthr+fLlZGRk8OKLL+q2JSQkFPnrpST7m5okTEIIc7B48WLy8vJo164d69at4+zZs5w+fZoFCxbQoUMHg/oYPXo0t27d4oUXXuDQoUMkJCSwbds2hg8fXmGlAErC0tKSYcOGMWnSJPz9/fXOMzo6ms8++4zffvuNc+fOsWbNGuzt7alfv36Rfh7U1t/fnz59+jBixAj27t3L8ePHeemll6hduzZ9+vR5aIzZ2dm88sor/P7772zevJn333+f119/XTfr6Ovry4EDB0hMTOTmzZvFzgxNmDCBHTt2MG3aNP744w9Wr17NokWLiIyMNGL0jGc2SVNQUBCjR4/mu+++o3///qxYsYIJEyYwfvx4OnfurFeYslu3bjRu3LjU+wshhCh/fn5+HDlyhNDQUCZMmECzZs3o3r07O3bsYMmSJQb14ePjQ2xsLHl5eTz55JMEBQURERGBq6trkUuLlcUrr7xCdnY2w4cP19vu6urK8uXLCQkJoXnz5mzfvp3vv/+emjVrFunjYW1XrVpF69at6d27Nx06dEBVVTZv3lzkclhxunXrhr+/P48//jiDBg3imWeeISoqSvd+ZGQklpaWNGnShFq1anHx4sUifbRq1YpvvvmGr7/+mmbNmjFlyhQ++OADhg0bVrLBKmOKWpLVdFVcXl4en3zyCZ9++imJiYm4u7szaNAgPvjgA91t+1CQBV+4cKHIQkND9zdESkoKLi4uJCcn4+zsXCbnJ4QQovrbs2cP3bp149KlS7oF6JXFsGHDuHPnjkkeXWMMQz+TzSppqkwkaRJCCFESWq2WGzduEB4ejpeXF19++aWpQyqiuidNlXPuUQghhBB61q5dS/369blz5w4fffSRqcMxSzLTZCIy0ySEEEJUDjLTJIQQQghRhiRpEkIIIYQwgCRNQgghhBAGkKRJCCGEEMIAkjQJIYQQQhhAkiYhhBBCCANI0iSEEEIIYQBJmoQQQgghDCBJkxBCCCGEASRpEkIIIYQwgCRNQgghhBAGsDJ1AOaq8JF/KSkpJo5ECCGEMG+Fn8UPexyvJE0mkpqaCkDdunVNHIkQQgghoOCz2cXF5b7vK+rD0ipRLvLz87ly5QpOTk4oilImfaakpFC3bl0uXbr0wKc0i9KTMS5fMr7lS8a3/MkYl6/yGl9VVUlNTcXHxwcLi/uvXJKZJhOxsLCgTp065dK3s7Oz/M9azmSMy5eMb/mS8S1/MsblqzzG90EzTIVkIbgQQgghhAEkaRJCCCGEMIAkTdWIra0t77//Pra2tqYOpdqSMS5fMr7lS8a3/MkYly9Tj68sBBdCCCGEMIDMNAkhhBBCGECSJiGEEEIIA0jSJIQQQghhAEmaKrn8/HzmzZtHYGAgdnZ21K1blwkTJpCenl4h+5sDY8bojz/+YMqUKbRv355atWrh5OREcHAwM2bMkDH+W1n+DmZkZODn54eiKLz++uvlEG3VUxbje+vWLSIjI3nkkUews7OjVq1ahIaGsmfPnnKMvOowdozT0tKYOXMmQUFBODk54e7uTseOHYmOjn7oYzvMwYcffsiAAQN0/2/7+vqWqp/PP/+cli1bYm9vj6enJ6+++io3btwo22BVUamNHTtWBdR+/fqpn376qTpu3DjVyspKDQ0NVfPy8sp9f3NgzBhNnDhR1Wg06uDBg9UFCxaoS5YsUQcOHKgCavPmzdWMjIwKOovKqyx/BydMmKBqNBoVUEePHl1OEVctxo5vYmKi6uvrq7q7u6sTJ05UP/vsM3Xu3LnqsGHD1LVr11bAGVR+xoxxXl6e2qlTJ9XCwkIdPny4umzZMnXevHlqu3btVEB96623KugsKi9ArVGjhvrEE0+obm5uav369Uvcx9y5c1VA7dy5s7ps2TL1vffeUx0dHdUmTZqoaWlpZRdrmfUkytxvv/2mKoqi9u/fX2/7ggULVED98ssvy3V/c2DsGB06dEi9c+dOke3vvPOOCqgLFy4s03irmrL8HTx8+LBqaWmpzpkzR5Kmv5XF+Hbq1EmtU6eOeuXKlfIKs0ozdoz37dunAmpERITedq1WqzZo0EB1cXEp65CrnISEBN3XTZs2LXHSdOPGDdXBwUFt27atmpubq9u+ceNGFVBnzJhRVqFK0lSZFX7w/vzzz3rbMzMzVQcHB7VHjx7lur85KK8xOnHihAqo//znP8sizCqrrMY3NzdXbdWqldqrVy/1/PnzkjT9zdjx3b17twqoCxYsUFVVVbOzs9X09PRyi7cqMnaMt27dqgLqRx99VOS9tm3bqj4+PmUab1VXmqRp+fLlKqB+/vnnRd7z8/NTGzduXEbRqaqsaarEDh06hIWFBe3atdPbbmdnR3BwMIcOHSrX/c1BeY3Rn3/+CYCnp6fRMVZlZTW+8+bN48yZMyxatKg8wqyyjB3fzZs3A1CvXj3CwsKwt7fH0dGRgIAA1qxZU25xVyXGjnG7du1wdXXlo48+4ttvv+XixYucOXOGSZMmcfjwYaKiosoxevNQ+DPo0KFDkffat2/PmTNnSEtLK5NjSdJUiV25cgV3d/diK5/Wrl2bmzdvkp2dXW77m4PyGKO8vDymTZuGlZUVgwcPLqtQq6SyGN/z58/z/vvvM2XKlFIvEK2ujB3fuLg4AEaMGMGtW7dYvXo1K1euxMbGhiFDhrBq1apyi72qMHaM3dzc2LhxIzVq1GDgwIHUr1+fxo0bs3jxYtatW8eIESPKM3yzcOXKFaDg53Gv2rVro6qqro2xrMqkF1EuMjIy7lsq3s7OTtfGxsamXPY3B+UxRhEREezfv5+ZM2fSqFGjMomzqiqL8R05ciR+fn6MHz++XGKsyowd39TUVACcnJyIiYnRtevbty9+fn5MnjyZ8PBwLCzM9+/rsvgd1mg0NGvWjGeeeYaOHTty69YtFi9ezODBg/nvf/9L9+7dyyV2c5GRkQFQ7M/p7p9RWTDf/xOqAAcHB7RabbHvZWVl6dqU1/7moKzH6L333mPRokX84x//YNKkSWUSY1Vm7PiuWbOGn376iSVLlmBtbV0uMVZlxo6vvb09AC+88ILeh76bmxvPPPMMV69e1c1GmStjx/jkyZN07NiR7t278/HHH9OvXz9eeeUV9u7di5eXFyNGjCAvL69cYjcXheNf3M+prD/rJGmqxHx8fLh582axvwiXL1/G3d39gX/dGLu/OSjLMYqKimL69OkMHz6cpUuXlnWoVZIx46vVahk/fjw9e/bEy8uL+Ph44uPjuXDhAgDJycnEx8dz586d8jyFSs3Y3986deoA4OXlVeQ9b29vAG7fvl1G0VZNxo7xvHnzyMrKYsCAAXrbHRwc6NWrFxcuXCAxMbGswzYrPj4+QMHP416XL19GURRdG2NJ0lSJtW3blvz8fA4ePKi3PSsri2PHjtGmTZty3d8clNUYRUVFMXXqVMLDw1mxYgWKopRHuFWOMeObmZnJjRs3+OGHH/D399e9unTpAhTMQvn7+7NixYryPIVKzdjf38LFzYU3LtytcJuHh0cZRVs1GTvGhR/kxc0m5ebm6v1XlE7btm0B2L9/f5H3fvnlFxo1aoRGoymbg5XZfXiizJ04ceKB9UG++OIL3bb4+Hj19OnTpd7fXBk7xqqqqlOnTlUBdciQIVIw9B7GjG92drb67bffFnn961//UgH16aefVr/99ls1Li6uws6nsjH29/fWrVuqk5OTWrt2bTU1NVW3/cqVK6qjo6MaEBBQvidQBRg7xhERESqgzpo1S2/77du3VW9vb9XNzU2vtpC5e1jJgQsXLqinT59Ws7OzdduuX7+u2tvbq+3atSu2TtO0adPKLD5Jmiq5119/XVeJdvny5er48eNVKysrtXPnznof0PXr11eLy4EN3d+cGTPGixYtUgG1Xr166urVq9UvvvhC7/Xjjz9W9OlUOsb+Dt9L6jTpM3Z8ly1bpgJq06ZN1Tlz5qgffvihWq9ePdXa2lrdtm1bRZ5KpWXMGCcmJqo1atRQFUVRX3rpJXXJkiXqjBkzVF9fXxVQFy9eXNGnU+l8/vnn6rRp09Rp06apHh4eqqurq+77e2svde7cWQXU8+fP622fPXu2CqhdunRRly1bpk6ZMkV1dHRUAwMD9f4gMJYkTZVcbm6uOnv2bDUgIEC1sbFRfXx81HHjxhX5JbjfP4iG7m/OjBnj8PBwFbjvq3PnzhV4JpWTsb/D95KkSV9ZjO+6devURx99VHVwcFA1Go3avXt3de/evRURfpVg7BjHx8erQ4cOVWvXrq1aWVmpTk5O6mOPPaauW7euok6hUitMhAz5N/R+SZOqquqqVavU5s2bq7a2tmqtWrXU4cOHq9euXSvTWBVVlacFCiGEEEI8jCwEF0IIIYQwgCRNQgghhBAGkKRJCCGEEMIAkjQJIYQQQhhAkiYhhBBCCANI0iSEEEIIYQBJmoQQQgghDCBJkxBCCCGEASRpEkIIIYQwgCRNQgghhDC5Dz/8kAEDBuDn54eiKPj6+pZJv4qiPPA1Y8YMw/uSx6gIIYQQwtQURaFGjRq0atWKw4cP4+zsTGJiotH9rlmzptjtUVFRJCQkcPz4cZo3b25YjJI0CSFKQ1GUIt87OzsTFBREeHg4r7zySpE2ouzs2rWL0NBQvW03btzA3d1db1tERATz58/X22ZlZUWdOnXo06cPU6dOxcXFpdRxuLq6kpycrPt+1apVDBs2rNT9CfN17tw5/Pz8AGjWrBlpaWllkjQV588//6R+/fq0atWKQ4cOGbyfVblEI4QwG+Hh4QDk5eWRkJBAbGwse/fuZceOHaxdu9bE0VV/DRs2pFOnTgDY2dkVef/48eMA9OjRAw8PDwCuX7/Ozp07mT9/Pnv27OHAgQNYWZXu42Dw4MFkZGRw7Ngx3bGEKI3ChMlQ27dv56OPPuLgwYNkZWUREBDAqFGjGDly5EP3XbVqFfn5+bz66qslC1IVQohSANTi/gn58ccfVSsrKxVQv//+exNEZh5iYmJUQA0PD39gOzc3NxVQL126pLf9yJEjqrW1tQqo69evNzqe999/XwXUVatWGd2XEE2bNlXr169/3/eXLVumKoqidujQQf3oo4/UxYsXq3379lUBNTIy8oF95+fnqw0aNFAdHR3V5OTkEsUlC8GFEGWqe/fuDBkyBIANGzaYNhgzd/HiRW7fvo2rqyt16tTRe69ly5a6y3tHjx41RXhClEpSUhJjx47l+eefZ9++fbz55puMGjWK9evXM3bsWObOncu5c+fuu//OnTs5f/48AwYMwNnZuUTHlqRJCFHmWrZsCcClS5cASExMRFEUunTpQkpKCuPHj6dBgwZYW1sTERGht++lS5d4/fXXadiwIXZ2dtSoUYPevXuzb9++Yo/122+/8dJLL+Hn54ednR21atUiODiYiIgIkpKSStxu165dKIpy33U5w4YNQ1EUdu3apdtWnudnjGPHjgEF60OK4+joWGTb7t27iYiIoHXr1nh4eODg4EBgYCBvvvkmt27dKvMYhSip//znP2i1Wl555RVu3ryp9woLCyM/P5/t27ffd/8VK1YA8Morr5T42LKmSQhR5lJTUwGwtbXV256ZmUnnzp25cOECnTt3plWrVri5uene379/P7169eL27ds0atSIXr16cePGDbZt28bWrVv58ssvGTRokK794cOH6dSpE1lZWTRv3pw+ffqQkZHBuXPnmD9/Pn379sXb29vgdsYq6/MzVuEao/slTX/88QcADRo00G176aWXSE5OpmnTpnTp0oWsrCxiY2OZPXs227Zt4/Dhw1hbW5dZjEKU1OnTpwF44okn7tvm2rVrxW6/desW69evJzAwULcWsCQkaRJClClVVdm0aRNAkdt4Dx48SIcOHTh37hyurq5676WkpPDss8+SkpLCmjVrePHFF3Xv/frrrzz55JO8+uqrdO3alVq1agGwYMECsrKymD17NhMmTNDr78yZM7q7wgxtZ6yyPj9jFc40BQUFFXnvxx9/5NSpU9jZ2fH0008DkJuby/z58+nZs6feovKMjAyeeuop9u7dy/bt2+nRo0eZxCdEaah/3/T/+eef3/ePnfstKv/yyy91s1SlIZfnhBBlIi8vj7Nnz/Lyyy+zf/9+bG1tGT58eJF2CxYsKJJQAKxcuZKkpCQiIiL0EgqANm3a8N5775GWlqZXc+XGjRtA8X9xBgYG6v5BNbRdWSjL8zPWvTNNqqpy8eJFli1bppvRevfdd/Hy8gIKShH079+/yF14Dg4ODBgwAPjfJVchTMXf3x8Ad3d3nnjiiWJf90uaPvvsM6ytrRk6dGipji0zTUIIoxRXi8nJyYnVq1fTsGFDve3e3t60adOm2H5+/PFHAPr371/s+4899hhQMJtTqHXr1mzZsoXRo0czffp0OnXqVOyt84a2M1ZZn58xUlNTdYthO3fuXOR9e3t7Zs6cyaRJk/S2p6SksHnzZo4fP85ff/1FdnY28L9Zqxo1apRJfEKU1sCBA5k8eTLvv/8+Xbp0wd7eXu/95ORk7OzsiiwP+PXXXzl+/Dj9+/fXld8oKUmahBBGKazTZGFhoStu2b9/f721PIXq1at3334Ki9iFhIQ88Hg3b97Uff3mm2+yd+9eXaFHjUZDhw4d6NWrF8OGDdNddjO0nbHK+vyMceLECVRVxd3dnV69egFgaWmJq6srzZs3p3fv3tSsWVNvnwULFvDOO++QlpZ2334DAgLKJD4h7vXFF19w4cIFoGB2ODs7m+nTpwNQv3593V25derUYcmSJbz66qs0btyYIUOGUL9+fW7cuMHJkyfZsGEDv//+e5HHsHz22WcAJa/NdBdJmoQQRomOjja4bXHFFwvl5+cD8NxzzxV7V1ehwMBA3dfOzs7s3LmT2NhYvv/+e3bt2sXOnTv56aef+PDDD9mzZw/+/v4GtzNEYZwVcX7GKJwZ6tq1q0E/o/nz5xMREUFAQACTJ0/msccew8fHBzs7O/Ly8vDy8iI1NZUmTZqUSXxC3Ouzzz5j9+7detvee+89oGC2tDBpAhg+fDgBAQHMnj2bZcuWcefOHdzd3WnUqBHTpk3TXXIulJmZydq1a6lbty5PPfVUqWOUpEkIUSnUqVOHuLg43n77bVq3bm3wfoqi0KlTJ92dMNevXyciIoK1a9fyzjvv8M0335SonY2NDcB9Z1tKu6antOdXWoXrmYKDgx/aNi8vjxkzZmBvb8/PP/+Mp6en3vs7d+7k5s2btG7dulwuawoB6JXxMERISMhDZ24L2dvbc+fOnZIHdQ9ZCC6EqBS6d+8OwPr1643qx8PDg6ioKKCgNlNJ2xUuCi+8Hf9ut27d4siRI6WKq6zOz1CFM02FNbMe5OrVq9y4cYMGDRoUSZhycnJ0f+0b0pcQ1ZkkTUKISuGf//wnHh4efPTRR3z66adFLoPl5uaybds2vQRn6dKlnD9/vkhfmzdvBqBu3bolagcFNYvq1avHyZMn+e9//6vbnp6ezj/+8Q9SUlIq7PxKKy8vT9ePITNN7u7uWFlZER8fr5cspqamEh4ezoEDBwBJmoSQpEkIUSm4urry3//+FxcXF/75z3/i6+tLz549efHFF+nWrRu1atXi6aefJj4+XrfP0qVL8fPzo2nTpjz33HM8//zzBAcHM27cOOzs7JgyZUqJ2hV6//33AXj22Wfp2rUrzzzzDA0bNuTEiRP06dOnws6vtP744w8yMzPx9PQssrajOLa2tgwZMoTs7Gxat25Nv3796NevH/Xr1ychIYEuXboAkjQJIUmTEKLSaN++PSdPnuStt97C2dmZ3bt3s2HDBl2F7ejoaL1aS9OmTePll19GURR27NjB999/T2ZmJq+++irHjh3TrXcwtF2hl19+mVWrVtG4cWNiY2M5ePAgYWFh7N+/v9gaTOV1fqVVkvVMhRYvXkxkZCRubm5s27aNhIQEJk+ezJ49e/jzzz+xsLAoUqxUCHOjqIWlNYUQQlQZheUTwsPDS3QHY3mJiopi6tSprFq16r7P7ROiqpPbIIQQogrbu3evLklZtGgRGo2mQo8/atQoMjIydAvPhajOJGkSQogqLCEhgYSEBABmz55d4UnTV199RXJycoUeUwhTkctzQgghhBAGkIXgQgghhBAGkKRJCCGEEMIAkjQJIYQQQhhAkiYhhBBCCANI0iSEEEIIYQBJmoQQQgghDCBJkxBCCCGEASRpEkIIIYQwgCRNQgghhBAGkKRJCCGEEMIAkjQJIYQQQhjg/wFmvEn47nT4SwAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "result_dict_whitt = pgc.enthalpy_sorption_whittaker(\n", " isotherms_enth_whittaker[0], \n", " model=\"guess\", \n", " verbose=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparing Whittaker and Clausius-Clapeyron" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How do these methods compare? We can use the Whittaker method on each of the isotherms in `isotherms_isosteric`, and compare with the Clausius-Clapeyron results in `result_dict`." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "298.15: 0.009565136818274825\n", "323.15: 0.005256038450545493\n", "348.15: 0.009516772628472047\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pygaps.graphing as pgg\n", "import matplotlib.pyplot as plt\n", "\n", "_, ax = plt.subplots(1, 1) # set up an ax to plot on\n", "\n", "for i in isotherms_isosteric:\n", " # Calculate heat of adsorpation with whittaker method\n", " whittaker = pgc.enthalpy_sorption_whittaker(\n", " i, \n", " model='dslangmuir', # using DSLangmuir as previously showed good fit\n", " verbose=False\n", " )\n", " print(\n", " f\"{i.temperature}: {whittaker['model_isotherm'].model.rmse}\"\n", " ) # check that fit is reasonable for all models\n", " ax.errorbar( # and plotting\n", " whittaker['loading'],\n", " whittaker['enthalpy_sorption'],\n", " yerr=whittaker['std_errs'], # with error bars\n", " label=str(i.temperature),\n", " )\n", "\n", "# Now plotting Clausis-Clapeyron enthalpies\n", "pgg.calc_graphs.isosteric_enthalpy_plot(\n", " result_dict['loading'],\n", " result_dict['isosteric_enthalpy'],\n", " result_dict['std_errs'],\n", " units=isotherms_isosteric[0].units,\n", " ax=ax\n", ")\n", "\n", "ax.legend(frameon=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A reasonable match in terms of magnitude of $\\Delta H_{st}$, but not in terms of the overall trend. The Clausius-Clapeyron method predicts increasing enthalpy with loading up to 6 mmol g-1, while the Whittaker method predicts a continuous decrease. Whittaker approximation will always give this decreasing trend." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What happens when we use a different model, say `Toth`? " ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "ename": "CalculationError", "evalue": "Fitting routine for Toth failed with error:\n\tThe maximum number of function evaluations is exceeded.\nTry a different starting point in the nonlinear optimization\nby passing a dictionary of parameter guesses, param_guess, to the constructor.\nDefault starting guess for parameters:\n[1.78673000e+01 4.93900934e-05 1.00000000e+00]\n", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mCalculationError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[46], line 8\u001b[0m\n\u001b[1;32m 4\u001b[0m _, ax \u001b[38;5;241m=\u001b[39m plt\u001b[38;5;241m.\u001b[39msubplots(\u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m1\u001b[39m) \u001b[38;5;66;03m# set up an ax to plot on\u001b[39;00m\n\u001b[1;32m 6\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m isotherms_isosteric:\n\u001b[1;32m 7\u001b[0m \u001b[38;5;66;03m# Calculate heat of adsorpation with whittaker method\u001b[39;00m\n\u001b[0;32m----> 8\u001b[0m whittaker \u001b[38;5;241m=\u001b[39m \u001b[43mpgc\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43menthalpy_sorption_whittaker\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 9\u001b[0m \u001b[43m \u001b[49m\u001b[43mi\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 10\u001b[0m \u001b[43m \u001b[49m\u001b[43mmodel\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mtoth\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;66;43;03m# using DSToth\u001b[39;49;00m\n\u001b[1;32m 11\u001b[0m \u001b[43m \u001b[49m\u001b[43mverbose\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\n\u001b[1;32m 12\u001b[0m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;28mprint\u001b[39m(\n\u001b[1;32m 14\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mi\u001b[38;5;241m.\u001b[39mtemperature\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m: \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mwhittaker[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mmodel_isotherm\u001b[39m\u001b[38;5;124m'\u001b[39m]\u001b[38;5;241m.\u001b[39mmodel\u001b[38;5;241m.\u001b[39mrmse\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 15\u001b[0m ) \u001b[38;5;66;03m# check that fit is reasonable for all models\u001b[39;00m\n\u001b[1;32m 16\u001b[0m ax\u001b[38;5;241m.\u001b[39merrorbar( \u001b[38;5;66;03m# and plotting\u001b[39;00m\n\u001b[1;32m 17\u001b[0m whittaker[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mloading\u001b[39m\u001b[38;5;124m'\u001b[39m],\n\u001b[1;32m 18\u001b[0m whittaker[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124menthalpy_sorption\u001b[39m\u001b[38;5;124m'\u001b[39m],\n\u001b[1;32m 19\u001b[0m yerr\u001b[38;5;241m=\u001b[39mwhittaker[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mstd_errs\u001b[39m\u001b[38;5;124m'\u001b[39m], \u001b[38;5;66;03m# with error bars\u001b[39;00m\n\u001b[1;32m 20\u001b[0m label\u001b[38;5;241m=\u001b[39m\u001b[38;5;28mstr\u001b[39m(i\u001b[38;5;241m.\u001b[39mtemperature),\n\u001b[1;32m 21\u001b[0m )\n", "File \u001b[0;32m~/anaconda3/lib/python3.9/site-packages/pygaps/characterisation/enth_sorp_whittaker.py:129\u001b[0m, in \u001b[0;36menthalpy_sorption_whittaker\u001b[0;34m(isotherm, model, loading, verbose, dographs, **kwargs)\u001b[0m\n\u001b[1;32m 126\u001b[0m model \u001b[38;5;241m=\u001b[39m pgm\u001b[38;5;241m.\u001b[39m_WHITTAKER_MODELS\n\u001b[1;32m 128\u001b[0m max_nfev \u001b[38;5;241m=\u001b[39m kwargs\u001b[38;5;241m.\u001b[39mget(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mmax_nfev\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;28;01mNone\u001b[39;00m)\n\u001b[0;32m--> 129\u001b[0m isotherm \u001b[38;5;241m=\u001b[39m \u001b[43mpgm\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mmodel_iso\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 130\u001b[0m \u001b[43m \u001b[49m\u001b[43misotherm\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 131\u001b[0m \u001b[43m \u001b[49m\u001b[43mbranch\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mads\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 132\u001b[0m \u001b[43m \u001b[49m\u001b[43mmodel\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mmodel\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 133\u001b[0m \u001b[43m \u001b[49m\u001b[43mverbose\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mverbose\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 134\u001b[0m \u001b[43m \u001b[49m\u001b[43moptimization_params\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43mdict\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mmax_nfev\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mmax_nfev\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 135\u001b[0m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 137\u001b[0m model \u001b[38;5;241m=\u001b[39m isotherm\u001b[38;5;241m.\u001b[39mmodel\u001b[38;5;241m.\u001b[39mname\n\u001b[1;32m 139\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m pgm\u001b[38;5;241m.\u001b[39mis_model_whittaker(model):\n", "File \u001b[0;32m~/anaconda3/lib/python3.9/site-packages/pygaps/modelling/__init__.py:287\u001b[0m, in \u001b[0;36mmodel_iso\u001b[0;34m(isotherm, branch, model, param_guess, param_bounds, optimization_params, verbose)\u001b[0m\n\u001b[1;32m 261\u001b[0m \u001b[38;5;250m\u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 262\u001b[0m \u001b[38;5;124;03mFits a PointIsotherm with a model.\u001b[39;00m\n\u001b[1;32m 263\u001b[0m \n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 284\u001b[0m \u001b[38;5;124;03m Prints out extra information about steps taken.\u001b[39;00m\n\u001b[1;32m 285\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 286\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mpygaps\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcore\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mmodelisotherm\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m ModelIsotherm\n\u001b[0;32m--> 287\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mModelIsotherm\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfrom_pointisotherm\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 288\u001b[0m \u001b[43m \u001b[49m\u001b[43misotherm\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 289\u001b[0m \u001b[43m \u001b[49m\u001b[43mbranch\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mbranch\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 290\u001b[0m \u001b[43m \u001b[49m\u001b[43mmodel\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mmodel\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 291\u001b[0m \u001b[43m \u001b[49m\u001b[43mparam_guess\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mparam_guess\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 292\u001b[0m \u001b[43m \u001b[49m\u001b[43mparam_bounds\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mparam_bounds\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 293\u001b[0m \u001b[43m \u001b[49m\u001b[43moptimization_params\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43moptimization_params\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 294\u001b[0m \u001b[43m \u001b[49m\u001b[43mverbose\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mverbose\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 295\u001b[0m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/anaconda3/lib/python3.9/site-packages/pygaps/core/modelisotherm.py:343\u001b[0m, in \u001b[0;36mModelIsotherm.from_pointisotherm\u001b[0;34m(cls, isotherm, branch, model, param_guess, param_bounds, optimization_params, verbose)\u001b[0m\n\u001b[1;32m 341\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(model, \u001b[38;5;28mstr\u001b[39m):\n\u001b[1;32m 342\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m model \u001b[38;5;241m!=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mguess\u001b[39m\u001b[38;5;124m'\u001b[39m:\n\u001b[0;32m--> 343\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mcls\u001b[39;49m\u001b[43m(\u001b[49m\n\u001b[1;32m 344\u001b[0m \u001b[43m \u001b[49m\u001b[43mbranch\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mbranch\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 345\u001b[0m \u001b[43m \u001b[49m\u001b[43mmodel\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mmodel\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 346\u001b[0m \u001b[43m \u001b[49m\u001b[43mparam_guess\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mparam_guess\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 347\u001b[0m \u001b[43m \u001b[49m\u001b[43mparam_bounds\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mparam_bounds\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 348\u001b[0m \u001b[43m \u001b[49m\u001b[43moptimization_params\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43moptimization_params\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 349\u001b[0m \u001b[43m \u001b[49m\u001b[43mverbose\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mverbose\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 350\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43miso_params\u001b[49m\n\u001b[1;32m 351\u001b[0m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 353\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m ModelIsotherm\u001b[38;5;241m.\u001b[39mguess(\n\u001b[1;32m 354\u001b[0m branch\u001b[38;5;241m=\u001b[39mbranch,\n\u001b[1;32m 355\u001b[0m models\u001b[38;5;241m=\u001b[39mmodel,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 358\u001b[0m \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39miso_params\n\u001b[1;32m 359\u001b[0m )\n", "File \u001b[0;32m~/anaconda3/lib/python3.9/site-packages/pygaps/core/modelisotherm.py:212\u001b[0m, in \u001b[0;36mModelIsotherm.__init__\u001b[0;34m(self, pressure, loading, isotherm_data, pressure_key, loading_key, branch, model, param_guess, param_bounds, optimization_params, verbose, **other_properties)\u001b[0m\n\u001b[1;32m 209\u001b[0m param_guess \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mmodel\u001b[38;5;241m.\u001b[39minitial_guess(pressure, loading)\n\u001b[1;32m 211\u001b[0m \u001b[38;5;66;03m# fit model to isotherm data\u001b[39;00m\n\u001b[0;32m--> 212\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mmodel\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfit\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 213\u001b[0m \u001b[43m \u001b[49m\u001b[43mpressure\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 214\u001b[0m \u001b[43m \u001b[49m\u001b[43mloading\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 215\u001b[0m \u001b[43m \u001b[49m\u001b[43mparam_guess\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 216\u001b[0m \u001b[43m \u001b[49m\u001b[43moptimization_params\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 217\u001b[0m \u001b[43m \u001b[49m\u001b[43mverbose\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 218\u001b[0m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 220\u001b[0m \u001b[38;5;66;03m# Plot fit if verbose\u001b[39;00m\n\u001b[1;32m 221\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m verbose \u001b[38;5;129;01mand\u001b[39;00m other_properties\u001b[38;5;241m.\u001b[39mpop(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mplot_fit\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;28;01mTrue\u001b[39;00m):\n", "File \u001b[0;32m~/anaconda3/lib/python3.9/site-packages/pygaps/modelling/base_model.py:259\u001b[0m, in \u001b[0;36mIsothermBaseModel.fit\u001b[0;34m(self, pressure, loading, param_guess, optimization_params, verbose)\u001b[0m\n\u001b[1;32m 256\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m optimization_params:\n\u001b[1;32m 257\u001b[0m fit_args\u001b[38;5;241m.\u001b[39mupdate(optimization_params)\n\u001b[0;32m--> 259\u001b[0m opt_res \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfit_leastsq\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfit_args\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 261\u001b[0m \u001b[38;5;66;03m# assign params\u001b[39;00m\n\u001b[1;32m 262\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i, _ \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28menumerate\u001b[39m(param_names):\n", "File \u001b[0;32m~/anaconda3/lib/python3.9/site-packages/pygaps/modelling/base_model.py:280\u001b[0m, in \u001b[0;36mIsothermBaseModel.fit_leastsq\u001b[0;34m(self, leastsq_args)\u001b[0m\n\u001b[1;32m 276\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m CalculationError(\n\u001b[1;32m 277\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mFitting routine for \u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mname\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m failed with error:\u001b[39m\u001b[38;5;130;01m\\n\u001b[39;00m\u001b[38;5;130;01m\\t\u001b[39;00m\u001b[38;5;132;01m{\u001b[39;00merr\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 278\u001b[0m ) \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01merr\u001b[39;00m\n\u001b[1;32m 279\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m opt_res\u001b[38;5;241m.\u001b[39msuccess:\n\u001b[0;32m--> 280\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m CalculationError(\n\u001b[1;32m 281\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mFitting routine for \u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mname\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m failed with error:\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 282\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;130;01m\\n\u001b[39;00m\u001b[38;5;130;01m\\t\u001b[39;00m\u001b[38;5;132;01m{\u001b[39;00mopt_res\u001b[38;5;241m.\u001b[39mmessage\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 283\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;130;01m\\n\u001b[39;00m\u001b[38;5;124mTry a different starting point in the nonlinear optimization\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 284\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;130;01m\\n\u001b[39;00m\u001b[38;5;124mby passing a dictionary of parameter guesses, param_guess, to the constructor.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 285\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;130;01m\\n\u001b[39;00m\u001b[38;5;124mDefault starting guess for parameters:\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 286\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;130;01m\\n\u001b[39;00m\u001b[38;5;132;01m{\u001b[39;00mleastsq_args[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mx0\u001b[39m\u001b[38;5;124m'\u001b[39m]\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;130;01m\\n\u001b[39;00m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 287\u001b[0m )\n\u001b[1;32m 288\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m opt_res\n", "\u001b[0;31mCalculationError\u001b[0m: Fitting routine for Toth failed with error:\n\tThe maximum number of function evaluations is exceeded.\nTry a different starting point in the nonlinear optimization\nby passing a dictionary of parameter guesses, param_guess, to the constructor.\nDefault starting guess for parameters:\n[1.78673000e+01 4.93900934e-05 1.00000000e+00]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pygaps.graphing as pgg\n", "import matplotlib.pyplot as plt\n", "\n", "_, ax = plt.subplots(1, 1) # set up an ax to plot on\n", "\n", "for i in isotherms_isosteric:\n", " # Calculate heat of adsorpation with whittaker method\n", " whittaker = pgc.enthalpy_sorption_whittaker(\n", " i, \n", " model='toth', # using DSToth\n", " verbose=False\n", " )\n", " print(\n", " f\"{i.temperature}: {whittaker['model_isotherm'].model.rmse}\"\n", " ) # check that fit is reasonable for all models\n", " ax.errorbar( # and plotting\n", " whittaker['loading'],\n", " whittaker['enthalpy_sorption'],\n", " yerr=whittaker['std_errs'], # with error bars\n", " label=str(i.temperature),\n", " )\n", "\n", "# Now plotting Clausis-Clapeyron enthalpies\n", "pgg.calc_graphs.isosteric_enthalpy_plot(\n", " result_dict['loading'],\n", " result_dict['isosteric_enthalpy'],\n", " result_dict['std_errs'],\n", " units=isotherms_isosteric[0].units,\n", " ax=ax\n", ")\n", "\n", "ax.legend(frameon=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gives an error as `pgm.model_iso()` can't fit the model. We can try to increase the number of function evaluatins `max_nfev` to see if that helps." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "298.15: 0.020847257578099514\n", "323.15: 0.01520385363705269\n", "348.15: 0.008170243232597895\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pygaps.graphing as pgg\n", "import matplotlib.pyplot as plt\n", "\n", "_, ax = plt.subplots(1, 1) # set up an ax to plot on\n", "\n", "for i in isotherms_isosteric:\n", " # Calculate heat of adsorpation with whittaker method\n", " whittaker = pgc.enthalpy_sorption_whittaker(\n", " i, \n", " model='toth', # using Toth\n", " verbose=False,\n", " **{'max_nfev': 1e5}, # Increasing number of function evaluations\n", " )\n", " print(\n", " f\"{i.temperature}: {whittaker['model_isotherm'].model.rmse}\"\n", " ) # check that fit is reasonable for all models\n", " ax.errorbar( # and plotting\n", " whittaker['loading'],\n", " whittaker['enthalpy_sorption'],\n", " yerr=whittaker['std_errs'], # with error bars\n", " label=str(i.temperature),\n", " )\n", "\n", "# Now plotting Clausis-Clapeyron enthalpies\n", "pgg.calc_graphs.isosteric_enthalpy_plot(\n", " result_dict['loading'],\n", " result_dict['isosteric_enthalpy'],\n", " result_dict['std_errs'],\n", " units=isotherms_isosteric[0].units,\n", " ax=ax\n", ")\n", "\n", "ax.legend(frameon=False)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.12" }, "vscode": { "interpreter": { "hash": "bb92cfc77ebe3751b7fb3df8620ceb006227daaf69256df93b17635e0b7c66c1" } } }, "nbformat": 4, "nbformat_minor": 2 }