{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Isotherm model fitting\n", "\n", "In this notebook we'll attempt to fit isotherms using the included models.\n", "First, make sure the data is imported by running the import notebook." ] }, { "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" ] } ], "source": [ "%matplotlib inline\n", "# import isotherms\n", "%run import.ipynb\n", "\n", "# Then the modelling module\n", "import pygaps.modelling as pgm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Selecting models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of recreating isotherms, we'll fit PointIsotherms with the `model_iso`\n", "function. Let's select one of the isotherms and attempt to model it with the\n", "Double Site Langmuir model. It is worth noting that, if the branch is not\n", "selected, the model will automatically select the adsorption branch." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to model using DSLangmuir.\n", "Model DSLangmuir success, RMSE is 0.0235\n", "DSLangmuir isotherm model.\n", "RMSE = 0.02352\n", "Model parameters:\n", "\tn_m1 = 4.736\n", "\tK1 = 243.3\n", "\tn_m2 = 9.218\n", "\tK2 = 5.912e+04\n", "Model applicable range:\n", "\tPressure range: 6.04e-07 - 0.96\n", "\tLoading range: 0.257 - 14.7\n", "\n" ] }, { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "isotherm = next(i for i in isotherms_n2_77k if i.material=='UiO-66(Zr)')\n", "model_iso = pgm.model_iso(isotherm, model='DSLangmuir', verbose=True)\n", "print(model_iso.model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The original model is therefore reasonably good, even if there are likely\n", "microporous filling steps at low pressure which are not fully captured. It's\n", "important to note that the ModelIsotherm has almost all the properties of a\n", "PointIsotherm and can be used for all calculations. For example:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Langmuir area: a = 1361 m2/g\n", "Minimum pressure point is 0.0482 and maximum is 0.851\n", "The Langmuir constant is: K = 738\n", "Amount Langmuir monolayer is: n = 0.014 mol/g\n", "The slope of the Langmuir fit: s = 71.7\n", "The intercept of the Langmuir fit: i = 0.0971\n", "\n" ] }, { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pygaps.characterisation as pgc\n", "res = pgc.area_langmuir(model_iso, verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now apply the same model to another isotherm." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to model using DSLangmuir.\n", "Fitting routine for DSLangmuir failed with error:\n", "\tThe maximum number of function evaluations is exceeded.\n", "Try a different starting point in the nonlinear optimization\n", "by passing a dictionary of parameter guesses, param_guess, to the constructor.\n", "Default starting guess for parameters:\n", "[ 8.584125 18.63017335 8.584125 27.94526003]\n", "\n" ] } ], "source": [ "isotherm = next(i for i in isotherms_n2_77k if i.material == 'SiO2')\n", "try:\n", " model = pgm.model_iso(\n", " isotherm,\n", " model='DSLangmuir',\n", " verbose=True,\n", " )\n", "except Exception as e:\n", " print(e)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can increase the number of minimisation iterations manually, by specifying an\n", "`optimisation_params` dictionary which will be passed to the relevant Scipy\n", "routine. However, the model chosen may not fit the data, no matter how much we\n", "attempt to minimise the function, as seen below." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to model using DSLangmuir.\n", "Fitting routine for DSLangmuir failed with error:\n", "\tThe maximum number of function evaluations is exceeded.\n", "Try a different starting point in the nonlinear optimization\n", "by passing a dictionary of parameter guesses, param_guess, to the constructor.\n", "Default starting guess for parameters:\n", "[ 8.584125 18.63017335 8.584125 27.94526003]\n", "\n" ] } ], "source": [ "isotherm = next(i for i in isotherms_n2_77k if i.material == 'SiO2')\n", "try:\n", " model = pgm.model_iso(\n", " isotherm,\n", " model='DSLangmuir',\n", " verbose=True,\n", " optimization_params=dict(max_nfev=1e3),\n", " )\n", "except Exception as e:\n", " print(e)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Guessing models\n", "\n", "We also have the option of guessing a model instead. This option will calculate\n", "model fits with a **selection** of the available models, and select the one with\n", "the smallest root mean square. Let's try this on the previous isotherm." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to model using Henry.\n", "Model Henry success, RMSE is 0.102\n", "Attempting to model using Langmuir.\n", "Modelling using Langmuir failed.\n", "\n", "Fitting routine for Langmuir failed with error:\n", "\tThe maximum number of function evaluations is exceeded.\n", "Try a different starting point in the nonlinear optimization\n", "by passing a dictionary of parameter guesses, param_guess, to the constructor.\n", "Default starting guess for parameters:\n", "[46.57543338 17.16825 ]\n", "\n", "Attempting to model using DSLangmuir.\n", "Modelling using DSLangmuir failed.\n", "\n", "Fitting routine for DSLangmuir failed with error:\n", "\tThe maximum number of function evaluations is exceeded.\n", "Try a different starting point in the nonlinear optimization\n", "by passing a dictionary of parameter guesses, param_guess, to the constructor.\n", "Default starting guess for parameters:\n", "[ 8.584125 18.63017335 8.584125 27.94526003]\n", "\n", "Attempting to model using DR.\n", "Model DR success, RMSE is 0.134\n", "Attempting to model using Freundlich.\n", "Model Freundlich success, RMSE is 0.0977\n", "Attempting to model using Quadratic.\n", "Model Quadratic success, RMSE is 0.181\n", "Attempting to model using BET.\n", "Model BET success, RMSE is 0.0311\n", "Attempting to model using TemkinApprox.\n", "Model TemkinApprox success, RMSE is 0.0963\n", "Attempting to model using Toth.\n", "Model Toth success, RMSE is 0.102\n", "Attempting to model using JensenSeaton.\n", "Model JensenSeaton success, RMSE is 0.102\n", "Best model fit is BET.\n" ] }, { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "isotherm = next(i for i in isotherms_n2_77k if i.material=='SiO2')\n", "\n", "model = pgm.model_iso(isotherm, model='guess', verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that most models failed or have a poor fit, but the BET model has been correctly identified as the best fitting one." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other options" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also attempt to model the desorption branch of an isotherm, and provide a\n", "manual list of models to attempt to guess, including specialised models which\n", "are not usually included in the guessing routine." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to model using GAB.\n", "Model GAB success, RMSE is 0.0569\n", "Attempting to model using BET.\n", "Model BET success, RMSE is 0.0569\n", "Attempting to model using Langmuir.\n", "Model Langmuir success, RMSE is 0.119\n", "Best model fit is BET.\n" ] }, { "data": { "image/png": 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4ca2OJSLSGP26YQf33P8eLXxCsDtLsEU6SZ0/wdNlNQgKTnXMUVRc+Y/NXvV9rVXb193uv/9+EhMT6dixI+eddx5PPfUUH374Ybl9iouLmT59Ov369aNPnz6MGzeOpUuXura/+uqrTJgwgauuuorTTz+d11577YSRIoAzzzyTxx9/nK5duzJhwgQCAwNp3rw5t912G127duWJJ57g8OHDrF+/vlbvKTg4mHfffZeePXsSGxtbq2OJiDRGHy3+iVCjP3anA0NrE5+8N97TJTUYXjk53JssH/1Gpdui+nYg7vErXI9Xjn2bkr8FpDIRPdvSd+o1rser75hJcV7hCfudv+i+WlR7ou+++45nnnmG3377jby8POx2O0VFRRw7dozg4GAAgoKC6Ny5s+s10dHR/PHHHwDk5uZy8OBB+vfv79puMpno27cvJSUl5c7Vu3fvcvtERUXRq1cv13OtWrUCcB27pnr16qV5TSIiJ/HshOu5+aE3sdsdzHnlxBuumjKNOEmlsrKyuPjii4mNjSUlJYVff/2V119/HSgdZSrj6+tb7nUGg4G/33Nw/Lwj4ITtlR3n+OfKjlEWuIxG4wnHOb6uypQFPhER+cu8j1cx9oE3XY/f+/ddCk0V0IhTHRu64P8q32gsHyYGz7q98n3/FjwS3rqpNmVVyS+//ILdbufFF190Tar/+2W6UwkPD6dVq1asWbOGc889FwCHw0F6enqt+yu1aNECi8VSbvQrIyOjVscUEWmKXp/zFV8uXIu/0Ydbx0/n3Rfu9HRJDZaCUx0zBfieeqc63rcqcnNzTwgdLVq0wG638+qrr3LZZZexevVqpk+fXu1j33PPPUybNo0uXbpw+umn8+qrr3L06NETRqGqa8CAAQQFBTFx4kTuuece1qxZw6xZs2p1TBGRpubZNz4h7csthJj8KSix0S460tMlNWi6VCdAaYuH+Pj4cj/vvfceL730Es899xyxsbHMnz+fadOmVfvYjzzyCKNHj+bGG2/k7LPPJiQkhGHDhhEQEFCrmiMjI5k3bx5LliyhV69eLFiwgMmTJ9fqmCIiTcm/XvwfP3y1hWCTH8ccVgZfEsukB671dFkNmlc2wPSUxtoAs76VlJRwxhlncO211/LUU095uhwRkSbpgSmz2bn2AAFGXyyOIq64fgC3jTrf02V5RHW+33WpTupcVlYWX3/9NUOGDMFqtfLaa6+xc+dOrr/+ek+XJiLSJD3+/P/YtfYgAUZfch1FJN8+lOsuHeTpsryCLtVJnTMajcyaNYuzzjqLhIQENmzYwLfffssZZ5zh6dJERJqkm64bgqWkiBx7Ifc8cLFCUzXoUl016FKdiIg0Fpu27ebQ0XyGDOjh6VI8TpfqREREpJzLxj5H7qECvv34Mfz8/OjZrb2nS/JKulQnIiLSyA2//mkCc0y09Q0n6R/Perocr6YRJxERkUbs/JFP0rw4GKPBwMFiC/PfVDfw2lBwEhERaaSGXDWZNoSBAQ4U5/HJvIcIjwjxdFleTZfqREREGhmbzcbgyyaVhiZgf3Eun3/wiEKTG2jESUREpJF5+JkFRJtKQ9M+e65rQrjUnkacREREGplXJieT7XOMfSW5rPx8ikKTG2nESUREpBHYvS+bb7/fwM3XnQfAsoVPeLiixknBSURExMut27yLhx6eQ4DBFz9fX8Zcfa6nS2q0dKlORETEiy1L28DDD8+juU8IAUYfFn+71tMlNWoacRIREfFSCz79nrkzVhDpE4StxEFQh0Dm/qdu+jQ5nU4MBkOdHNubKDiJiIh4oVdnpvL1ogzCTYEUlRTTplcLXp96s1vPYbVaWb16NRkZGVgsFkJDQ4mLiyMhIQF/f3+3nstbKDiJiIh4mSdfWciv32USYvKnoMRG78EdeerB69x6DqvVyuzZszGbza7nLBYLq1atIjMzk+Tk5CYZnhScREREvEz705rzs3M7+Q4r513Zm3/efInbz7F69WrMZjNBQUEkJSURExNDVlYWqampmM1m0tLSSExMdPt5GzoFJxERES8z9pqhHM07RuuocEZfcU6dnCMjIwOApKQkYmNjAVx/pqSkkJ6eruAkIiIiDdPlY58nP7/I1Z+pLkaZyjidTiwWCwAxMTHltpU9tlgsTXLCuNoRiIiINHDnX/sUgTkmWtiDGT3uP3V+PoPBQGhoKABZWVnltpU9Dg0NbXKhCRScREREGrQhV06mZXEwRoOBP+z5vPT4mHo5b1xcHACpqals3LgRi8XCxo0bSU1NBSA+Pr5e6mhodKlORESkAbLZbFww4mna+oQDsL84ly8+eJSQkMB6OX9CQgKZmZmYzWZSUlLKbYuOjmbQoEH1UkdDo+AkIiLSwOTm5HPFmH/T1rc0NO2z5/Ltx4/V62K9/v7+JCcnk5aWRnp6uquPU3x8PIMGDWqSrQgADE6n0+npIrxFXl4e4eHh5ObmEhYW5ulyRESkkbpo1FSirEE4nU4OGC0s/3iyp0tq1BPBq/P9rjlOIiIiDcziOQ+zvziXI4FFDSI0AY02NFWXLtWJiIg0AP9bnEaXmFb07dUZPz8/Viye4umSpAIKTiIiIh724tuLWb54A0XOYua8czfRraM8XZJUQpfqREREPOihp+aw6otNhJj8CTL6sTB1jadLkpPQiJOIiIiH3Hj/axzbWUCg0ReLo4jLru3HHWMu8nRZchIKTiIiIh5w+djn8c8x4mf04ai9gHH3JXHpBX09XZacgoKTiIhIPbto1FSaFQViNBg4ZM/n2Wf+Qd9enT1dllSBgpOIiEg9a9++BTnb8vijuID33x2nyeBeRJPDRURE6tm7z99Bt7NP4/MPHlZo8jIKTiIiInVsR9YBEi+dTPI/33A998wjo+tt3TlxHwUnERGROvTNygz+b9w7tPYNI/d3C5u27fZ0SVILmuMkIiJSR16f8xVLFv5KpE8wxU4HxhY+9OzW3iO1NOa15uqTgpOIiEgdeOipOWz/ZT9hpgCKSopp06sFr0+9uV5rsFqtrF69moyMDCwWC6GhocTFxZGQkIC/v3+91tJYKDiJiIi42ehx/8G2x0qQ0Y98h5XBF/dg/J1X1GsNVquV2bNnYzabXc9ZLBZWrVpFZmYmycnJCk81oOAkIiLiZgd35dDKN5Sj9gLuHHcRVw7rX+81rF69GrPZTFBQEElJScTExJCVlUVqaipms5m0tDQSExPrvS5vp8nhIiIibvbqSzexz57Liy/e6JHQBJCRkQFAUlISsbGxhIaGEhsbS1JSEgDp6ekeqcvbKTiJiIjUUn5+IReNfhqbzQZAz27tWfn5FI9OBLdYLADExMSU21b22GKx4HQ66702b6fgJCIiUgu792Vz+ajniSoK5IIRT3u6HAAMBgOhoaEAZGVlldtW9jg0NFR32dWAgpOIiEgNrfjpN269czqtfEMpcTrx8Td5uiSXuLg4AFJTU9m4cSMWi4WNGzeSmpoKQHx8vAer816aHC4iIlID73ywlEXv/0SUTzB2p4PiSFj23hOeLsslISGBzMxMzGYzKSkp5bZFR0czaNAgD1Xm3RScREREqmnicwvYlJZF+J89mlqc0Yy3n73d02WV4+/vT3JyMmlpaaSnp7v6OMXHxzNo0CC1IqghBScREZFq+HXDDjan7Xb1aDp7WHcm3n21p8uqkL+/P4mJiSQmJqpzuJsoOImIiFRD316dyfOzUlhUzK3/dwHXJA30dElVotDkHgpOIiIiVbAsbQPnDeoFwNKPniA3J5/wiBAPVyX1TcFJRETkJGw2GxeMeJoIQyC7bzzM2GuGAngsNOmSm2cpOImIiFTCfOAw19/6Km19wwGY9f4KV3CqT1qst+Hwyj5O06ZNY+TIkXTq1AmDwUCHDh1O+ZpvvvmGiy++mKioKAICAujYsSPXX3+9q8uriIjI8X74dQs33vYGrX3DKHE6OWC0sPzjSfVeR9livatWrXJ1Ay9brHf27NlYrdZ6r6kp88oRp4kTJxIZGUmfPn3Iyck55f7Tpk1j4sSJJCYm8vjjjxMWFsbBgwdZuXIldrsdPz+/ui9aRES8xqyFy/lwzmqa/9mjqTC8hO9m139oAi3W29B4ZXDasWMHnTp1AiA2Npb8/PxK9122bBmPPfYYEydO5Omny7fCnzhxYp3WKSIi3mfqqyms+WY74aZArCV2IrqG8tG/7/JYPX9frBdw/ZmSkkJ6erqCUz3yykt1ZaGpKp5++mmaN2/O5MmTAcjPz8fhcNRRZSIi4u369upMCU6OOazEJXbiPQ+GJi3W2/B4ZXCqqmPHjrFixQoGDBjA3LlziYmJITQ0lODgYK644gp+//13T5coIiINTNLQOBIv7cU/bh/CE/df49FatFhvw+OVl+qqKjMzE4fDwU8//cTXX3/NQw89RL9+/UhPT+e5555jzZo1rFu3jpYtW1b4eqvVWm7SXV5eXn2VLiIi9aSs3YDBx8CKRZMBePD2Sz1b1HHi4uJYtWqVa3He4+c4gRbrrW+NOjiVDW9mZ2fz1ltvcfvtpesIXXXVVcTExHDrrbfy8ssvM23atApfP23aNKZMmVJv9YqISP3avS+b5Dtep61vOCVOJw8/M4/nJ47xdFnlaLHehsXg9PILo2WTw3ft2nXCtl9//ZV+/fphNBopKCgo1+uiuLiYwMBA+vXrx48//ljhsSsacWrXrh25ubmEhYW5/b2IiEj9+WZlBi+88DlRPsGUOJ0cNFhY/ueIU0NjtVq1WG8dysvLIzw8vErf7416xOm0004DoFmzZif8i+Xr60vz5s05cuRIpa/39/fXv5AiIo3Qi28vZtni9UT92W6gKKKE5bMme7qsSmmx3oajUU8Ob9WqFR06dODIkSMcO3as3LaioiKys7Np1aqVh6oTERFPuPXht/j+i02EmQIoLCmmec9mfD7rEU+XVWUKTZ7VqIMTwI033ojT6eT1118v9/zrr79OSUkJl1xyiYcqExERT9i2dT8BRl/yHEVcOCKON5++1SN1ePlMmSbLK+c4zZ0713Ub5quvvorNZuPBBx8EICIignHjxrn2tVgsnH322fz222/cfPPN9OvXj7Vr1zJjxgx69uzJDz/8QHBwcJXOW51roCIi0jDZbDYuum4aUx4dyZABPer13FpzrmGqzve7VwanoUOHsmLFigq3xcTEnDBR/MiRI0yaNIlFixbxxx9/0Lp1a66++momT55MRERElc+r4CQi4n1yc/K5LPkFnpp4Xb0HpeOVrTlnNptP2BYdHU1ycrLCk4c0+uDkKQpOIiLeZd3mXTwwfg4tfUM4ZD/GFymPeGx90mXLlrFq1aoK15wrKChg8ODBWjrFQ6rz/d7o5ziJiEjTNGvhch59eD4tfUNwOEsg2ODRRd3/vuZcaGgosbGxJCUlAZCenu6x2qTqGnU7AhERaZrue2Imu9YdJMKndKHewHYBfPPaQx6rpzprzumuuYZNI04iItKoXJr8HPvWHyLI6Ef+nwv1zn/tXo/WpDXnGg+NOImISKOxI+sAxqNOfE0mDtuP8c8HLyNpaJynywK05lxjoeAkIiKNRueY1rQ/syUb0rP44N17iW4d5emSXLTmXOOgu+qqQXfViYg0PMvSNvDGrG9Y+PYDni7llLTmXMOkdgR1RMFJRKRheWH6pyxfsolgox/+MQHM/c+4U7+ogdBE8IZDi/yKiEijl/zPN8j73eJacy4i0HOtBmpCock7KTiJiIjXuXDUVJoVBRBg9CXXUcgl1/Tj7huHebosaQIUnERExGvYbDYuGPE0bX3CwQDZxflMfWo0A+O7ero0aSIUnERExGtceuPzpaEJ2F+cy2fzxhMeEeLhqsRdstf8zuGMLI7tPYL1cD52SxH2omKcdgc44dxZt+EXHuTRGhWcRETEa3z87oNcPup5SvycrFg8xdPlSBXl7zvCkXW7sWz/g4L9R7Eeycd+zEaJzc45M25xhaGNL39JSVFxpcc5sn4Prc/tXl9lV0jBSUREGrR/vfg/Rl12Nj27tSckJJAvP57g0TXnpLyiI/kcSc8id9sBCvYepeiwhbOeu84VhlaMeRP7MVulrz8+DPmFB1JUVIzBaMDg54NPoB9+EUEEtgojuH0kkb3b1ct7OhkFJxERabAuG/sc/jlG7vluiysw1VdoUrsAcBTZOLJ+L0d/20uHa87CLyQQgB/vn8ex3YehkoZGRzJ203rI6QCYAvzKBSeDjxGTvw8+IQH4NwshuF2ka1vC9Jvq7s24iYKTiIg0ODabjQtGPk20IQyjwYCvwcTaTVl1PgncarWyevVqMjIyXA0q4+LiSEhIaPQNKrfOWE72T79jzy+ixGrHWVI+FYV1bOkKQ/Z8a4WhyWAyYPTzBV+T67kzH78cg6+JkLaRJ77ACyk4iYhIg7J7XzY33vE6bX1LJ4Gbi/OY89bdtG/bok7Pa7VamT17Nmaz2fWcxWJh1apVZGZmkpyc7HXhyZZbQPaaneT8to+CfaUTrouPWSkpdkCJk54PJdE6oRsA2T/swHo4v9JjFWbnuX5vf2Vf8rbsJ6RTS5r1bkdIx+aYTKYKXxfaoW4/t/qm4CQiIg3G/xan8d5by4j2DaPE6eSAM49vPn6sXi7PrV69GrPZTFBQEElJSeUW4TWbzaSlpZGYmFjndVSHw+bgSEYWRzbsJn/nIQr/yKPnfcNo1rMtAGseeB/rkWOVvj5n0z5XcIro2ZZDv+zENzSQgJahhMREEdmrHZG922EKKP/Pv/2lcXBpXF29rQZNwUlERBoEm83GrLe+I9IniGKnA1uEkxWz6u/OuYyMDACSkpKIjY0FcP2ZkpJCenq6R4JT4cFcTEF++IWWzi9a/9xiDv28E6ejpML9D67e5gpO/s1DXcHJ4GPEFOCLX3jpZOuQji1pe2FP1+ti/zm8jt9J46DgJCIiDYKfnx/h7UKw7D1G7NkdeHbC9fV2bqfTicViASAmJqbctrLHFoulziaM5+85zIFVW8nbdoBCcy62vEJKbHb4c57RaRefSffbhgJgPXKswtBkMBkw+vsS2DLU9Vzc5Ksw+pkqvYwm1afgJCIiHmOz2Xjp3SU8+n9XAvDBG/eRfTiXFlHh9VqHwWAgNDQUi8VCVlaWa6QJICsrC4DQ0NBahabczINkr95O7rYDFB7IocM1/TktqTcAv/33GyyZByt9bX7WIdfvbYf1wmA0EBzTnGa9TiOqTwd8K1mnr7LnpeYUnERExCPKJoE39wnmocNz+Pe/bgSo99BUJi4ujlWrVpGamgpQbo4TQHx8fLWO9/uHP7H7k19xWP8aOTrewe+3uYJTaKfmpcHJaMDk74tvWCDBbSII69aa5v07Edappet1bc7rQZvzetT0bUotKTiJiEi9+/sk8LXrdtXZuap6eS0hIYHMzEzMZjMpKSnltkVHRzNo0CCgdEL24bU7OfTLTiy/Z2M9ZMFeYMPpKCEyrh3xk64GoPBgHo7CE7tgG4wGTIF+hHb9KwydcdcFnHHXBbV5m1JPFJxERKRePTBlNpm/ml2TwIubwbKZT7j1HDXpx+Tv709ycjJpaWmkp6djsVgINPlzRrsuXDTqMvz9/dk6Yzl7F6+r9LzH9h51/R6d2J2cTXsJbtuM8J6n0TqhK4GtPDOaJu6j4CQiIvUmacw0gvN9CDb5ccxho8fZ7d0+Cby6/ZgKs/PYtfBn8rYfoOgPCyWFNs4sMeEkHAMGAvZY8E8u3T+sc8ty5zL4mPAJ8SeoVTihXVvSesgZrm2Rse29ohO2VI+Ck4iI1IsrbnqBiGP+YIDD9mPc/n8Xck3SQLefp6J+TDt37uTLL5ZgNpv5cNJ0+rQ+nZ73DwPg8K+72P/1xhOOY+DPy3vHXeZrObALAM0HdNHE6yZKwUlEROrF9Gk3k3zbG1iddj54916iW0fVyXnK+jF1ORjCoWdWcbBoKTihfYSJrR1grymX037aQVkHo5bndGXrW99h8DHhGxZAUJsImvVqR+tzuxMUHVHu2KYAP6KHamJ2U1bj4DRnzhy3FXHjjTe67VgiItJwvDXvay6/oC/RraOIbh3Fm6/dRueY1m45dv6+IxxYtpmjG/dSaM7Br1kQA14Z4+rHFJBVhMNudO0fnl/6lWfzcxLcrpnreb+QQM5fdJ9bapLGr8bBaezYsW5rAqbgJCLS+Iwe9x+K9lh5/4PVrFhc2gG8NqHJYXPww//NwpZbiNPuOGF7cb61XD+m/OYGoh2lS4c079ORQy3s8MXnhIaG0n/S6BrXIU1brS7VnXnmmVxxxRU1fv0nn3zC+vXra1OCiIg0QEOvnkLLkmACjD4EO/34dcMO+vbqfMrXFZhz2P/1Rg5v2EPRgRwMRiOD59wBgMnPVOEitAaTEZ8Qf0I7li4mW9aPaVenYs5I6u/qx/RN6lKg+v2YRI5Xq+AUFxfHpEmTavz6Xbt2KTiJiDQi5gOHGXXrf2njGw4GOFhs4YVpY04amn7653wK9ueULjFSAYfD4VoyJKRDcwDCz2hD6yGnE9E9+oT9q9qPSaQmahycwsLCCAoKqtXJAwMDCQsLq9UxRESkYViY+iNvv/FNaWgC9tlz+fbjxzCZTBxI287BFZuxZP6BvdDG0Pf/z/W6Y7sP4/xbZ22DjxHfsEBCOzQHB2AqbWQ54OV/nLKOivoxhYaGEh8fz6BBgyrt4yRSFQan03liH3ipUF5eHuHh4eTm5irwiYgcJz+/kGuvf5lwUwDFTgenmexcE9GidD5SBQvSnvXiaNcyImsnpWA9fIzw06OJTuxBs55tXfvVpJHl39XVwrzSeFTn+13tCEREpMay1/zO/qUbsWT+gU8o5FusdD+rLZduOYb1yLHyOxvAFOhHYHQERl+T6+k+U0ZUeOzqNrKsjEKTuJOCk4iIVEn+viPs+TyDo+t3U3Qon5Ji+19NIoFXRp+Pc0AMnWNas+7Zzzm6YS+B0RE07xtD22G9CYgMqdb5KmpkWbbortlsJi0tjcTERHe/TZGTUnASEZETFBfa2Je6nqg+MYR2KL1bbf3Tn1FoznXtY8BAidNJscFJUFAAPiH+tP+z3cCZj15W6xrKGlkmJSURGxsL4PozJSWF9PR0BSepd24PTps3b+aSSy7h999/d/ehRUSkjhzdtI89i9PJ2WKmOK8Q/pysnbNxL3FPXAlAs97tKTRv4KjBwQaHg1yjiT8o4WhwManz/unWepxOp6uRZUxMTLltZY8tFovmL0m9c3twstlsZGVlufuwIiJSBzLnpZGV8nOl2615ha7fu902hPE//Ix/jhE/o4nCkmIiu4aR+u+73F7X8Y0ss7KyXCNNgOs7JjQ0VKFJ6l21g9OTTz550u0HDhyocTEiIuJ+hdl5ZC36lSPpWRQdshDcPooBL14PQFiXluX2NQX5EdK+OS3P7UrbC3ph8iudxG2z2bhgxNO0MYVhMBo4ai9gVPI5jL1maI3rOtVoUVkjy9TUVIByc5xAjSzFM6odnCZPnkx0dDR+fhWvCm2z2WpdlIiI1JzNUsiWN5aSs3l/6WW3vzWdObb7iOv3lgO70Pq8HrS75ExXe4CKXHjdM7T1Ke3PZC7OY85bd9O+bYtq11ad9gJqZCkNUbX7OHXo0IEXXniBkSNHVrg9IyODvn374nCcuI6Qt1MfJxFpiHK2msndvI+YK/sBYMstYNXYd07Yz+jnQ2DrcFoNOZ2OV/er1jnWbd7Fow/Pp9DXzvKPa7ZiREXtBcpER0dX2F7AarWqkaXUuTrt4xQXF0dGRkalwclgMKCemiIidefopn1kLfqF3K1m7PlW1/NlwckvPAhToB8GI4R2bkmbi3rRYmBn17IlVXX7o2/z0uM3EBISyJlndOCDufcRHlG9lgLHq0l7AX9/fxITE0lMTNREcGkQqh2cHnzwQfLzT1xksUyXLl347rvvalWUiIicaPUd71H0h6XS7UVH8l29koa+X/MJ2zabjQuueZpoYxgXj36WlZ9PAahVaILatxdQaJKGoNrB6dxzzz3p9uDgYIYMGVLjgkREmrqiI/n8vuBHjmRkcfbrY10TtIvzisrt5xsaQPjp0bS/si/NerSt6FDV9uuGHYyfMI+2f643Z3QasNlslc5rrSq1F5DGQg0wRUQ8zGFzkPXprxxcvpnCg7k4HX9Nd9j92a90vKY/AKddEkfBviPEXNWX8G7Rbq/jmdc/5vuvttDKN5QSp5ODBgtffzyx1qEJ1F5AGo9aB6fs7GweeeQR3nvvPXfUIyLSpKRP+ZgjGXsq3GYM8MXk7+t63GVM3d1FdsVNL+BzxEm4KYCikmKC2gWy/LXJbj2H2gtIY1Dr4JSXl8fs2bN59913MRqN7qhJRKTRKczOY8ec1RzOyKLVud05/fbSuTwBrSKA0uBk8DES1LYZbS6Kpe2wXtWezF1TCz79Hr+jBnyMJnLshVw6sh933zisyq+v6uU1tReQxkCX6kRE6siBVVvJWvQLx/YcwWkvcT3/x/fbXMGp8+iBmAJ86HDNWfiFBHqkztFXnMPbc5bitDqZ8fqddP5zvbmTqU4/pjL+/v4kJyervYB4tWr3cfq7HTt20K1bN4qLixv9iJP6OIlIVeRsNfProx9WuM0n2J9Wg/8acfKUh56aQ6HVzutTb672a2vSj6kimgguDUWd9nESEZG/HFq7i10frsFeaGXgf24AIPT4ZUyMBoJah9N2eG/aXty73i6/ncxFo58mvNAPm9PBJ1+t4cph/av1+pr0Y6qIQpN4IwUnEZFq2vvlenZ/tpbCA7nlljMpLrThG+iHyWSi0z/Opnm/joR2qP6yJHUl+3AuI5JfKm01YIBcRxHWYnu1j1Pbfkwi3kzBSUSkin568H3yf88+cYMBAlqEUZxTgG9g6a37ZS0EGor/LU5jxltLXf2Z9hfnsnD2A7SICq/WcdSPSZo6BScRkQrY8gvZMXc1Ha4+i8BWpeGiOK/Qtd1gMhLSsQWdbxhEVO/2niqzSm59+C2ytx4lyicYu9NBboCVFYum1OhY6sckTZ1bgpPWphORxqDwYC7bZq7kyLo9lBQVA2DLKeDMCZcD0Gn02RxctYWuYwcTEtPck6VWy87fDtLSN4R8h5Wufdvw0aTkk+5/qtEi9WOSpqzWwSkyMpJJkyY1+jvqRKRxKjqSz5Y3l3Jk3R6cxY4Tthfn/rXMSZvzetDmvB71WZ5bPPTQ5Tz770U8/vBVXDg4rsJ9qtNeQP2YpCmrdTuCpkTtCEQan33fbGLLG9+We843PJBWCd3ocsMgTAG1X26kvr383hcs+mQN3y58rErLpdSkvYDValU/Jmk0qvP9ruBUDQpOIt7LUWRj28yVHPx+OwBD59/l2rbs2tfwDfHntIvPpP1VfRtEy4CauvKWFzAecuJv9OGAwcJ3H0865WuWLVvGqlWrKmwvUFBQwODBg096l5wmgou3Ux8nERFKF8/9fUEa5qW/UWwpKrctf89hQtpFAXDeh+M8UZ5b5ecXcvHoZ2ljCsNgNJDrKGTY8DOr9NrathdQaJKmxG0TkxYtWsSuXbvcdbiTmjZtGiNHjqRTp04YDAY6dOhQ6b6TJ0/GYDBU+HP//ffXS70iUv9+emgBy697jd2frC0XmnyC/WgzrBeBLUI9WJ17pS7P4MrRL9DWJxyDwYC5OI+XXx7Lo/935SlfW532AiLixhGnESNGYDAYCA8PJy4ujvj4eOLj44mLi+OMM85w69D3xIkTiYyMpE+fPuTk5FTpNS+//DLNm5e/C+aMM85wW00i4lm528z4RYUSGBUCgNP2V2NHY4AvLfp3otttQzy2Hlxdueuxd9m34RAtfEKwO0s47FPA8kWTXdtPdRlN7QVEqsdtwenhhx9m06ZNLFmyhOXLl7N8+XLXf2j+/v7ExsYSHx9P//79Of/88086SnQqO3bsoFOnTkDpcHJ+fv4pX3PllVfW6pwi0vAUF9rY+sZSsn/aQUmxg4iebek79RoAut48hL1LMuh2x3muMNUYHTyYS6DRl2MOG217Neejpx+q9gK8ai8gUnVumxx+6NAhzj//fPbu3cvYsWPp3LkzhYWFbNq0iS+++ILs7Oxyf2NJTEzk+eefp0+fPrU6b1lwquwy4eTJk5kyZQo7d+4kKiqKgIAAfH19a3QuTQ4XaRj2pq7n9w9/ojinoNzzPsF+DJl3VyWvarwuGv00/7zjEpKGxtX4Djl3LNor4q08Mjn8gQceICsri4yMjBNGdoqLi/n3v//NE088wWWXXYavry+fffYZZ599NjNnzuT66693VxmVOvPMM8nLy8NoNBIfH8/48eO57rrr6vy8IuI+ttwCVt30Lvzt73u+YYG0v6IPHa7u56HK6s+zb3zCstQNnHP+GTxxf+no2tcLHnNtr8kCvP7+/iQnJ6u9gEgVuC04paamMmTIkAovh/n6+jJhwgROO+00brvtNtauXcuUKVNISkrilltuoU+fPpx++unuKqWciIgIbr31VhISEoiKimLHjh289tprjBo1iu3bt/P4449X+lqr1YrVanU9zsvLq5MaRaRiDocD89ebOC2pNwB+4UEYDKW5yeBjonm/Dpz+f+fjF9q45i1V5vKxz+N7FKJ8gvl+6Wa4/8R9anqHnL+/P4mJiSQmJqq9gMhJuC04Wa3WU951ccMNN/Dvf/+bZ555hnnz5jF37lwGDx7MK6+8wvTp091VSjkV3Tl3xx13cNZZZzFlyhRuuOGGE+4kKTNt2jSmTKnZek4iUnP5ew6z6ZWvXAvqBraNcK0H1+WWwYS0jyQytmGvD+dOuTn5XHbDC65WAzn2QpKuOnGag7sW4FVoEqmc29oR9OnTh+XLl7N3796T7tejRw+WLl0KwDnnnENsbKzrcX0JDAxk/Pjx2O12vv7660r3mzBhArm5ua6fPXv21GOVIk3P7s9+ZcWY6fx07zxXaAIwf7PJ9Xv7i+OaVGha8On3jLzhZVergf3Fubz22i388+ZLTti37A45+OuOuDK6Q07EPdw24nTfffcxYsQIRo4cyWeffUaLFi0q3O+3334r10KgW7duLFmyxF1lVFnZJcXs7OxK9/H399e1fZF6sPfL9Wx9ZzmUlB+1DunYnJ73DfOqBXXdacpLH5K+YidRPsHYnQ6O+BWyYtHJR8F1h5xI3XJbcLrqqqu4//77eeWVVzjjjDO49957GTlypKtXUk5ODlOmTGHDhg2ceeZf3WztdrtHljfYvr102YXWrVvX+7lFBGz5ha6eSqFdWrlCk9HXROvzetDttiFevfSJO9x0XSI/rdhKq1Y2WkcbMOLkpZdeOmlrAS3AK1K33L5W3XvvvcdDDz1ETk4OBoMBX19fgoODy40yffzxx1xxxRUA9OzZk6KiInbs2FGj852sHYHdbic3N5eoqKhyz+fk5NC3b1/27t3L77//Ttu2bat0LrUjEKkdh8PB1unfcWDFFpyOEs5Pude1bf1zi2lzYSzN+3TwXIENwDcrM4jr2ZEWUeFYrVZefPk1iq0n9qo7WZsALcArUj0eXavu5ptv5pprruGtt95i8eLFZGRkcPToUSIjI+nbty9PPPEECQkJAKxfv57NmzeTnJxcrXPMnTvXdb0+Ozsbm83G1KlTgdK76MaNK113Kj8/n9NOO42rr76aXr16ERUVxe+//857773HH3/8wSuvvFLl0CQiNWezFLL+2cXk/ra/3PP7vtlE2wt7AtD7kUs9UVqDcvujb3PgtyPklBSycvEUVq9eTbE1v1qtBUB3yInUJbePOFXEbrfj43NiRnM6nWzbto2AgIBK72yryNChQ1mxYkWF22JiYlyjT1arlbvvvps1a9awZ88e8vPzadasGQMGDOD+++/n/PPPr9b70IiTSPXkZx1iwwtLKNh3tNzzPqEBdBw1gPYXx3mmsAbGZrNx0XXTaOkMxmQwcsxhY8KkK/lhxRIsFgsjRowotxTKxo0bSUlJITQ0lAceeMCDlYs0Dh4dcarwJBWEJii9A6R79+7VPt7y5curtJ+/vz/vvvtutY8vIu6ROfv7cqEpqE0EseMvJrRDxTePNEU/pm9nwr/eJ9o3FAyQXZzPgw9dzsA+3fl68f+A2rUWEBH3qpfgJCJNw+7FGVh2/EHP+y4CoOf4i1l141uEdWlN70cvwS88yMMVNiwPPzOP337cTWvfUEqcTszOPL79+DH8/PwAtPiuSAOk4CQiteJwONg+YyX7v9mI014CQNebz8UvNBDfQD/O++geD1fYMG3atpvtP+0j1BRAYUkxwe0CWfla+VYDai0g0vDUODiNGzeO+Ph44uPjiY2Ndf0NSUSaBkeRjQ0vpnL4111w3ExJg6+JY7uP4NdTN15Uxul00rNbeywBxRwrsHHTrYmMvuKcE/ZTawGRhqfGk8ONRqNriNjHx4cePXq4glR8fDxxcXGEhIS4tVhP0+RwkVJb31nO3iXryj3nE+xH15sG0+b8nh6qqmGzWq08+9I72IuO4mMsITQ0lLi4OM466yxXt+/KXqfWAiJ1qzrf7zUOTl9++SXp6emkp6ezdu1adu7cWW6SosFgoHPnzq4g1adPH+Lj42ne3Hs7ACs4iZTasSCNXR/+DIB/VAg97r+wSS2DUl1Wq5XHJz1LSAVrEZ+sH9PfaSK4SN2ol+BU0UkzMjJcQSo9PZ0tW7Zgt9tLT/Tnf+xt2rShT58+fPrpp+44bb1ScJKmyOFwsPm/35CfdYiBr4xxPb92UgpdbxqsO+ROYeuOfUx7/h06tjFgLzawYzcMvugszolrR2pqKgUFBQwePLjCfkwiUj88EpwqYrVa2bBhgytIpaens2HDBoqKinA4HHV12jqj4CRNicPhYOubyzAv2wx//m+i94TLaNG/k4cr8x5TXvqQn5Zvp08vB75+TjbsKOHNlx+gRVQ4oH5MIg1Fg+nj5O/vT79+/ejXr5/ruZKSErZs2VKXpxWRWtry9nfs+2pDuUV3fSOC8IsM9mBV3uXCUVMJL/In3BSAr1/pkikzX3+o3Hwm9WMS8T713o7AaDTSo0eP+j6tiFTB/qWb2PLGUpzHB6awQHo+OJyo3prDVB2OfAe+viaO2AswmvwocdjUj0mkEXBrcLLb7bz77rukpqZy+PBhmjVrxplnnsnw4cM555wTb7UVkYYloFWoKzT5hPjT4/5htOjb0cNVNXwVjRY9PeU6HnlyASmzHmDDul/Vj0mkkXDbHKeCggIuvPBCfvzxR/5+SIPBQO/evXn77bc566yz3HE6j9AcJ2lsDq/fTebs7xnw4vWu59ZN+4zoxB60HNjFg5U1fFarldWrV5ORkYHFYsFaDOZsJ//994MntBewWq3Mnj0bs9l8wnGqc1ediNQNj0wOf+SRR3jhhRdISEjgkUceoVOnThQVFbFp0yYWLlzI4sWLCQgI4MMPP+SSSy5xxynrnYKTNBZFR/JZ+/hCCs25ALQZ1osz7jzPw1V5j5MFofxCmDrl0ROCkPoxiTRcHglOnTp1wm63s3XrVgIDT2xW8v3333P11Vdjs9nIyMigQ4cO7jhtvVJwEm/ncDjYMG1xabfvMgboOGogna4d4LG6vM2yZctYtWoVTkxk/g4UBBAYbKflaUX4+RpO2V5AE8FFGpbqfL8b3XXS/fv3M2DAgApDE8A555zDokWLyMvL46WXXnLXaUWkin7/8CeWX/t6udAU0es0hn4wTqGpmjIyMgDYs9OEIy+IY7YSDpl8GD3qGgDS09NP+nqFJhHv5bbJ4S1atCAvL++k+yQkJDBgwADXhEgRqR/FhTZ2LvjR9TigZSh9nhxBYKtwD1blnZxOJxaLBQDrMV8O248x8h+DuG3U+a7n1V5ApPFyW3AaNGgQn376Kfv27aNt28oX9+zQoQPr1q2rdLuIuEdhdh5+oQGYAvzwDfQjKj6Go5v3E/vP4WpiWQsGgwF7iREfYwlFgRY+emc84RGl63KqvYBI4+e2S3X33nsvdrudq6++mkOHDlW632+//UZwsJroidQVh8NB+pSPSbt9JmsnLXI9H/fElSQu+D+FppOobMqnzWbj4WfmuR4nDkkAYECvEPbs3YXFYmHjxo1qLyDSBLhtxCkhIYHJkyfzxBNPEBsby1133cU//vEPOnbsiMlkIicnh6lTp7Jx40ZGjhzprtOKyHEOrN7Gby9/hdNRAkDe9gM4HA5MJpOHK2u4/t5WIDQ0lLi4OBISEvD39yd1eQb//vdnRPoE8dBTc/j3v24kISGBzMxMzGYzKSkp5Y4XHR3NoEGDPPRuRKSuuX2tujfffJPx48dTWFgIgMlkIiQkhNzcXJxOJxEREaxZs4YuXbyvR4zuqpOGylFk4+dHPuTY7sOu5wJahtHnmZEERoV4sLKG7VT9lb7fZCV31zGCjH44nCUc9itk6Yf/cr1W7QVEGgePL/K7f/9+3nrrLZYsWcKGDRuw2WyEh4czfPhwpk6dSufOnd19ynqh4CQN0e7FGWx/bwWU/ZdsNND9jkROu6iXR+vyBmVtBYKCgkhKSnJ19F6yJJXCwgKyzb4cPhhAvsNKdI8o3n729gqPo4ngIt7N44v8tmnThilTpjBlyhSgdH6An59fXZxKpMmzHc53haawbq3p89Q1mPx0aa4qytoKJCUludaQy9h2lIyNhXTvDBFRdjbttTD5XyMZMqDyNTYVmkSajnpZ5FehScS9DmfsJiqudNHdLsnnkLPFTIeRZ9G8TwfPFuZFjm8rEBMT43r+7Vnf0t4/FDiGr5+TL1NO7AIuIk2X2+6qKykp4bXXXiMxMZHTTz+dwYMH83//93+8/fbbrFmzhqKiInedSqTJsuzKZsWYN8mYsoj9Sze5nu83baRCUzUZDAbXmnJlbQQAPp8zHltgPlDaVkChSUSO57YRp8mTJ/P000+7bufdtm0b33//vWsI22g00rVrV+Li4oiPj2f8+PHuOrVIk7Bu2mccWrPT9Xj35+m0Ob+nBytq2Koy7yguLo5Vq1ax4IOFDEk8wtn949mzN4uzegVTUFCgtgIicgK3TQ7v0KEDZrOZ+fPnM3z4cHJyctiwYQMZGRlkZGSwbt06MjMzKSkpwWAw4HA43HHaeqXJ4eIJh9buYv2zi3EW//XfzGkXn0n324Z6rqgG6lStBf5u2OiniG/vJDDoxP8NRkdHk5ycrBEnkSbAI3fVhYWFkZiYyKefflrpPgUFBaxfv55169Zxxx13uOO09UrBSepb+pRFHMnY7XrsHxVCv+evIyBSLQb+7lStBY4PQT+mb2fCv+bT2jcMo9FJYPNjtG/ng9NRrLYCIk2QR+6q69Wr1ymHxYOCghg4cCADBw5012lFGrVje4+U/mKALjcmEHNlP88W1ICtXr0as9l8QmuB1NRUzGYzaWlpJCYmcvujb2P+7TCtfcMocTrZZ8sj5ZkHaBEVrrYCInJKbpscfvfdd7Ns2bKTLrciIqfmKLK5fh/w3xsI69qKwfPvUmg6hb+3FggNDSU2NpakpCQA0tPTuXDUVHK25BFi8qegxIbxNB9Wfj6FFlGlix0rNInIqbgtOF1//fVcfvnlXHHFFRw8eNBdhxVpMhw2Bz/eO5fl10/HllsAgG+gH2c9PwrfQLX0OJnKWgsc/9hisTAs8UwcTid/FOdz2z0XsuC1++q9VhHxbm4LTgBTpkzhjz/+oFevXkycOJEffvhBbQhEquDIxt2suP4Nju05Ak4n65/9wtMleZXKWgsAvPD6B0Bpa4GH7riMvhd1JvXjR7n0gr71XqeIeD+3TQ7/8ssvufrqq7Fara6WBAaDAaPRSPfu3YmPj3e1IoiLiyMyMtIdp61XmhwudWHTq99wYNlvrsehXVrR99mRWpi3mv6+fIrTFMiT0+ZwensTPr5OBg8eTGJioqfLFJEGyCN31cXHx7Nu3Touvvhihg8fTm5uLuvWrSMjI4MdO3aUm3RpMBiw2+3uOG29UnASd7JZCvnx3nkU5xS4nut6yxDaXxrnuaIasFNN3D7ZXXV5x5w889QE3SUnIhXyyF11W7du5cwzz2Tx4sUnbMvPz3eFqPT0dNatW+eu04p4rR/umoX9WOlEcJ8Qf/q/MobAKLUZOF51+jL5+/szevRo7n34JdpGGvD1c2KzQXa+kVeff1ihSUTcwm0jTp06dWLgwIG8//777jhcg6QRJ3GnA6u2sumlL2kxsDO9H7nU0+U0ONXpywTwyVdrePXVL2npWxo+D9vzGXHdQO4Yc1G91Swi3skjI05XXXUVn332mbsOJ9LoFGbnsXX6MuL+dSUArc/tTlS/jrpjrhJV7ctUZvrsb2jpG4LDWcIBp4UlCx4lJCTQg+9ARBojt91V98QTT2C325k2bZq7DinSaGT/upO0O2ZyeG0Wm179xvW8QlPlqtKX6Xhfvv8Y++y5RPYIY+WnUxSaRKROuC04jRgxgvj4eB5//HFuvPFGtm7d6q5Di3i1HQvSWD/1M/jzorhPkK9nC/ICVe3LdOFlU5j38SrXtpWfT2H6M7fXX6Ei0uS47VLdsmXLXL/PmzeP+fPn06VLF/r160d8fLyrDUFUVJS7TinS4KVP+ZgjGXtcj3s+MJzW53b3YEXeoawvk8ViISsri9jYWNe2HTt2AFBsM9DcJ4QZ7y1jzNXneqpUEWli3Bacdu7cSUZGBhkZGa476LZv38727dtZsGCB6zbitm3bEh8ff9LFgEW8ncPm4If/m4X1cD4ABh8j/V+6npB2+otDVcXFxbFq1SpSU1OB0pGmhZ8tJXPzOvx8IfeIL4ftxxg16mwPVyoiTYnb7qqrSF5enitElQWqTZs2YbPZcDgcdXXaOqO76qSqNr78JQdXll6u9msWxKA3kjEFaD4TnLofU5mT3VVXWGDkp212Pp+rCeAiUnseaYBZVQ6Hgy1bttCzZ8/6PK1bKDhJdawc+zbBp0XSd+o1ni7F46rTj+nvr0tLS+ObpSvx9y29PJd9yIAxqgVvPnNnPb4DEWnMGnRw8mYKTnIymfPSaDGwM+FdWnm6lAaluv2YKvLDr1uYNuVj8kpsvDjtBvr26lxX5YpIE+SRPk4lJSW88cYbpKSkYDabadmyJbGxscTFxREXF0fv3r0JCAhw1+lEGpRfH19IzqZ97F70C+fMvg0/XT5yqW4/JgCbzcblN/2bz2Y+hJ+fH2f3PZ37H72M8wb18tC7EBEp5bbgNHnyZJ5++mnXAr/btm3j+++/d81lMBqNdO3a1bXQ7/jx4911ahGPcRTZSPu/2diO/rnenMmIo7AYFJxc/t6PCXD9mZKSQnp6erng9N7/lrFg3vc09wnhwuueYcWiyQAKTSLSILgtOM2ZMwcfHx/mz5/P8OHDycnJYcOGDeUmhm/bto0tW7bwv//9T8FJvF7+viOsuX8+TnsJAP5RIZz9xlhMfiYPV9ZwVLUfU9mE8eH/eIagfB+a+4Rgd5ZgcFunORER93BbcDpy5AjDhw/nmmtKJ8KGhIRw2mmnubr8AhQUFLB+/Xot8iteL3vN76yf9rnrcWRcO+InXe3Bihqmk/VjysrKAiA0NJSfMjJ59F/zifYNAyPkOgrpfXZHPppwvadKFxGpkNuCU69evU55i3FQUBADBw5k4MCB7jqtSL1zOBysf26x63HMyLPocv0gD1bUsFXUj6lsjhPA3sMlPDNpIdG+YTidTvY78pg3fRzt27bwZNkiIhVyW3C6++67ufPOOzl06BDNmzd312FFGhyTyUTXmwaz/b2V9HwoidaDunq6JI86VV+mhIQEMjMzMZvNpKSklNsWHR3N3u12Ao2FFJTYCGwbyMo3ptR1ySIiNebWdgRjxoxh586dfPzxx7Rq1fhuyVY7gqat6Eg+AZEhrscOhwOTqWnOZ6puX6ayfkzp6elYLBYCAoLo378fgwYNwt/fn6Qx0xj/f5dqAriIeITH+jjt2LGD4cOHk5uby6233spll11GfHx8o2lDoODUdP3+wY/s/N9PtBnWizPuPM/T5XhUbfoy2Ww2ho2aRjNHIO3jW/HK5OS6LldE5JQ8Epy+/PJLrr76aqxWq6slgcFgwGg00r17d9civ2V/RkZGuuO09UrBqWnaNmslez5NB8BgMjDkf3c32ZEmKF3Qe9WqVRX2ZSooKGDw4MEn9GUCWPDp98x4ZxktfEtH7czFeSxfPLmeqxcROZFHGmBOmDCBoqIiLr74YteoU9k6dZs3b+a3337j/fffB0oDld1ud9epRerM5je/Zf/XmwAwGA30/8+YJh2aoPp9mQCSxkwjwGKihW8IDmcJB5wWlnzwaL3WLSLiDm4LTlu3buXMM89k8eLFJ2zLz893haj09HS1IxCvsPHFVA5+vw0Ag8nI2W8mE9iiaY80Vrcv04qffmPSUx+62gzkOYroEhfNh08+VO+1i4i4g9uCU+vWrTnjjDMq3BYSEkJCQgIJCQnuOp1InVr3zGcc+nknAAYfE+e8ezN+4UEersrzqtqXqewuuyee/ZA2ZW0G7HnMfP0uOse09kjtIiLu4La+vFdddRU///yzuw4n4lFH1u8BwOjnwzkzb2kyoakqUx7j4uIASE1NZePGjVgsFjZu3OjqyxQfH+/a97OZD3GgOA/a+LBy8RSFJhHxem6bHJ6bm0tcXBy33347EyZMcMchGxxNDm86bPmFpD+xiH7PXIMpwM/T5dSpmrQWqOyuOrvTjx/X2njl3zfRs1v7+ihfRKTWPHJX3QUXXEBYWBiffvop//jHP3jsscfo3r27Ow7dYCg4NW6b/vM1p991fpNaa66mrQX+3pcpJCSEDdstFP0RjMFpYp89l5Wfq5GliHgHjwQno7H8VT+DwUCXLl3o168f8fHxrjYEUVFR7jidRyg4NV5pd82i8EAuPsF+nDP79iZz51xNWwsc7/k3P2Hpko1E+pRezsy25zP2pkTGXH1ufbwFEZFa80g7gp07d5KRkUFGRobrDrrt27ezfft2FixY4Jos2rZtW+Lj4/n0009rfK5p06axdu1afv31V3bu3ElMTAy7du2q0mvfeOMN7r77bgDMZjOtW2vORVP3471zKTyQC4BPcONo1lpVNWktUMZmszH8+meJtAcS6ROE3engkLGAr1Im4OfXuC9vikjT5bbgFBMTQ0xMDFdccYXruby8PFeIKgtUmzZtqrBlQXVMnDiRyMhI+vTpQ05OTpVft3//fiZMmEBISAj5+fm1qkEah/QpH3NszxEAAluHM+jNsZ4tqB5Vt7XA310w4mna+oSDAY7aCzjnojN4/J4RdV+4iIgHuS04VSQsLIxzzz2Xc8/9a8je4XCwZcuWWh13x44ddOrUCSj923FVQ9C4cePo1KkTsbGxzJs3r1Y1iPfb/Oa3HMkovXvONzSAAa/d4OGK6ld1Wwv83XUjB/FtSgaHnQV8Pnc84REhFe4nItKYuK0dQVWZTCZ69uxZq2OUhabq+OSTT/j000+ZPn16k5m/IpXb+fEvro7gRj8fEt69tUn+e1Gd1gLfrMzgvGuedD2++8ZhPD71GlZ+NkWhSUSajBqPOOXl5eHn51erBXyLioqw2Wx1PtE6Ly+PcePGcfvttzNgwADefPPNOj2fNHy5m/cBpcuoJLx9U6O8k66yS2zHS0hIIDMzE7PZTEpKSrlt0dHRDBo0CIArb3kBDpXQyhjCZWOf4/NZjwDQt1fnuileRKSBqnFwatasGWPHjmXGjBk1Pvldd93F3Llz63zdugkTJmC325k2bVq1Xme1WrFara7HeXl57i5NPCTusSvYOmM5bc7v2aiaW1a3J5O/vz/JycnlWguEhoYSHx/PoEGD2LhtLw9MmEMb33Awmsh3WImKjKj/NyYi0kDUODg5nc4qdRmuynHq0g8//MD06dOZM2cOERER1XrttGnTmDJFvWgai8KDuRQczCWqd2ljxu63DPVsQW5WUU8mi8XCqlWryMzMrLQnk7+/P4mJiSQmJpYbpRpz76vk7covDU3A/uJcXpp2o0aZRKRJq9Xk8O+//56bb765Vq+vS8XFxdx2220kJibyj3/8o9qvnzBhAg888IDrcV5eHu3atXNniVJPigtt/DBuDk57Cd3vSOS04b09XZLbrV69GrPZXGFPJrPZTFpa2il7MpWFpsGXT6KNMYxgkz8FJTZ8Wvqx4h39JUJEpFbBKTMzk8zMzFoVcKo5GLXx+uuvs3nzZl566aVyfZ7K7sLbs2cPVqv1hFuxy/j7+1f4N3TxLg6Hg9W3zsBpLwGg4ECOZwuqI7XpyfR3QaH+GAoMHCjO418TR3DeoF51UrOIiLepcXD67rvv3FlHndi1axclJSUMGzaswu39+/fH39+foqKieq5M6tMPd87CUWADoMXAznQbO9jDFblfbXsyZR/O5YW3Puf5iWMA+HL+RG5/9G0WPPvACfuKiDRlNQ5OQ4YMcWcddeKWW25h6NChJzz/3//+l++++46ZM2d69RIwcmprxn+A9VDpCGNol1b0fuRSD1dUN2rTk+nhZ+ax4YcsAo2+zFq4nLHXDAXg7Wdvr5faRUS8SZ02wKwrc+fOdX0ZZGdnY7PZmDp1KgARERGMGzcOgF69etGr14mXGD755BMAhg8friVXGrH1zy3GknkQAP/mIfR/YZSHK6q5qrQWiIuLY9WqVa4eTMfPcYLyPZkAcnPyuSz5BVobQonwCcRWYmfx12tdwUlERE7klcFpxowZrFixotxz//rXv4DSL4uy4CRNl8PmIPunHQCYgvw4e/pYzxZUA9VtLVDVnkwAU176kB++21a6ZApwyJ7PNdcN5I4xF9XtmxIR8XIGZ133A2hEqrN6snhebuZBNjy7mAGv3oBvoHctOltRa4Ey0dHRlbYWsFqtlfZkKtt/yFWTaekMwcdgpNjp4LCpgK8WaGFeEWm6qvP9ruBUDQpODZ/D4WgUS6csW7aMVatWVdhaoKCggMGDB5/yDrnKLu8NvXQy0b5hHLYfI+mqPvzz5kvq6m2IiHiF6ny/1/tadSJ1xWFzsGL0m/z0wHwcDoeny6mVv7cWCA0NJTY2lqSkJADS09NPeYyy0GSz2Vjx02+u55996h8cNOWzOOURhSYRkWryyjlOIhVZ8895OIsd5O88xB+rthI9tIenS6qR2rYWON7L731B6qK1APRd0JGQkEAGxndl2cIn6qByEZHGTyNO0ihsnbGcgv05AIR1beW1oQn+ai0Af7USKHOq1gJlbDYb513zJKs/+40on2DCTYE89vwHdVe0iEgToeAkXu/opn3sXbwOAKO/L32mjfRwRbUXFxcHQGpqKhs3bsRisbBx48ZKWwsc7615X3PJiGdp5QjB12DiqL2A089tx3+evKk+ShcRadTcdqlu5cqVVdrPz8+PqKgounTpUqfLrUjT4CiykT7pr1vvB7x8fYOfHF6VS2zVaS1QxmazMfz6Z2lWHEhznxAczhIOOC18Pnc84REhbn0PIiJNlduC09ChQ6sVhIKDgxk1ahRPP/00LVq0cFcZ0sT8eN88nI7SG0O73jaEoOgIzxZUier2ZPL39yc5OfmUrQWOdyA7lyCbD34mEzn2QnqdHcOHEx+qj7cnItJkuK0dwdixY8nJyeGzzz7DaDQSHx9P+/btcTqd7Nmzh/T0dEpKSrjssssoLCwkIyODQ4cO0alTJ3766SevWPpE7Qganh/GzaFg31EiYtvS96lrPF1OhWrak+l4lY1S2Ww2bDYHISGBANw6fjrbtppJmfkALaLC3fMGREQaOY/0cfrjjz8YOHAgPXv25D//+Q+dOnUqt33nzp3cd999bNiwgR9//JHQ0FDuuOMO5s+fz/jx43nuuefcUUadUnBqmPZ9s4m2F/b0dBmVckdPpoq888FS/jd/NTaDg5WfTamDykVEmgaP9HF69NFHsdvtpKSknBCaADp27MhHH32Ew+Hg0UcfJSgoiOnTp9O8eXM+++wzd5UhTUBxoY3Cg7muxw05NIF7ejIdr+yOuS8X/EoLnxBaGkP4ZmWGm6sWEZGKuC04LVmyhHPOOeekyzb4+/uTkJDgujMoODiY+Ph4du/e7a4ypAn48e7ZpN05i72p6z1dyilVpydTVbzzwVIu/vOOOT+jDzn2Qjr1j+bCwXFurVtERCrmtsnheXl5HDp06JT7HT58mLy8PNfjZs2a6e46qbIN/16C7WgBAIfW7uS0pN4erujkynoyWSwWsrKyiI2NdW2rak8m+POOuX88SzNbAC3K7pgrsZAyS3OZRETqk9tGnHr27Mny5ctJS0urdJ8ffviB7777jp49/7q0snfvXlq2bOmuMqQRO7B6G3+s3g6Ab2gAcY9d4eGKqqY2PZnKvDrra5oXB7lGmdr3bcnKz6YoNImI1DO3jTiNHz+eUaNGceGFFzJ27FiuueYa2rVrh8FgYPfu3SxcuJBZs2ZRUlLC+PHjgdJRql9//ZWrrrrKXWVII2XLLWDTi6VBAwMMfP1Gzxb0p7rqyfR3D95+KUO++BlnCRplEhHxILfdVQfwyiuv8Oijj2Kz2U74MnE6nfj6+vLMM8/w4IMPAqV32n344Yecf/759OvXz11l1BndVec5K298i2JLEQA9x19M60FdPVZLdXsylb2mOj2ZXp/zFYs++onTurZg1kt31fVbEhFp0jzSjqDMzp07mTFjBj/88AP79+8H/vpb9U033UTnzp3debp6peDkGeue+YxDP+8EoNU53Yh9MMljtdRlTyYonct00ahpNC8JwtdgItdRyCcLx5/0pgsREamd6ny/u+1SXZmOHTsydepUdx9WmrC2w3tz6Ndd+IUHeTQ0AaxevRqz2VxhTyaz2UxaWtopezJVFppemP4p33yxnmifUDDAUXsBcYM6KTSJiDQgbg9OIu7WvE8HBs+709NlACf2ZAJcf6akpJCenl7tZpb5+YVccsNztHAGE+UTjN1ZwkGtMSci0iC5PTgVFBTwyy+/YDabsVqtle53440NY3KvNFyH1+8mqnd7AHwDPT/qUp2eTNVpsTHyjldoQxgY4Ii9gEGJ3fjogWvdV7iIiLiNW4PTE088wcsvv0xBQUGl+5R9qSg4yckcWLGFTa98hU+wHwP+ewMBkZ4feXFXT6a/+3Tmg1x89bMU+5bwxYJHXOvOiYhIw+O24PT8888zdepUfHx8uPTSS+nWrRshIZ7/shPv43A4+O3Vb0p/LyzGN7zhBIm4uDhWrVrl6sF0/BwnqFpPpn+9+D9Wf7eFSf8ayZABPfDz82PJx49qLpOIiBdw2111Xbt2Zf/+/axatYo+ffq445ANju6qqx9rJ6VwdP1eAM4YdwFtzm84a9HV5q663Jx8Lkt+gVaGUHwMRvYX57JisRbnFRHxNI/cVbdnzx7OO++8RhuapH7kbjO7QlNg6/B6DU1VmZvk7+9PcnJytXoyATz01Bw2rdlDW5/SxpWH7ce4/PKz3P4eRESkbrktOLVu3dpdh5ImLH3SItfv/Z6/rs7PV5Nmlv7+/iQmJpKYmHjKsGU+cJjrbvsvrU2hRPgEUux0cNhYwFcpE3RpTkTEC7ltrbpRo0axZs0ajh496q5DShOz+c1vcRQVAxBzZV/8Qut2blPZZbdVq1a57pazWCysWrWK2bNnn/Su0DKnGqG67tb/0tYnHJPBSLY9nwuvOZPvPp6k0CQi4qXcFpwmT55Mjx49uPrqq9mxY4e7DitNSHFe6ZIqPiH+dEk+p87Pd3wzyxEjRvDAAw8wYsQIgoKCXM0sa+uu2y7E4rCS7VfAkpRHuWPMRW6oXEREPMVtk8PPO+88bDYbP/zwA0ajkQ4dOnDaaadV+Ddyg8HA0qVL3XHaeqXJ4XUvZ6sZnyA/QtpF1fm5XnrpJSwWCyNGjCjXWmDjxo2kpKQQGhrKAw88UK1j3nDfa2TtyGblcZO+8/ML1WJARKQB88jk8OXLl7t+dzgc7Nixo9KRp+r2uZGmI6J7dL2cx93NLH/dsIMHJswh2ieMtr7hDP/HM3w5fyKAQpOISCPituC0c+dOdx1KmhBHkY0VN75N5Jnt6PXopZhMpno5rzubWY647SWKD9po41t6x5y5OI9HbruyTuoWERHPcltw+vvf2kWq4peJH+EsdnD4l11YMv+otxEnqH0zy2VpG3jymRSifcPwM/lRUGLD0NzE8hmT67p0ERHxEC3yKx6TvWYH+TsPARDSqYVbQ1NVLrElJCSQmZmJ2WwmJSWl3Lbo6GgGDRp00tc/P+1Ton1Lr4XvL87l2SmjObvv6bUrXEREGjQFJ/EIh8PBhhdKR3YwGOg3rfY9m6rbk6mmzSxdr2/uT/5hK8GnBbHiDXUAFxFpCmp8V12nTp0wGAx8++23dOzYkU6dOlX9pAaDV7Ys0F117rNu2mccWlM6L67rLUNof2lcrY5Xm6VQypxslMpms3HxmOdwOp0s/egJ1/PmA4eJbl33dwCKiEjdqZe76nbt2gVAcXFxuccip2LZle0KTf5RIbUOTVC+J1NSUlK5+UplPZkSExNPeozKQtPrc75i0Uc/0cInhGKng7fmfe3qx6TQJCLStNQ4OJWUlJz0sUhltr2zwvW7u5ZVycjIACApKcl1h1zZnykpKaSnp58yOP1dfn4hl974HM1LgmnhE4LDWcIfjnySEk8+aVxERBovzXGSetf36Wv47fVv8Qn2IyAypNbHc3dPJoAnX1nI6qWbifYJAwPk2Avp2b8dH/7roVrXKyIi3kvBSTyix90XuO1Y7uzJBLAw9UfWL99JpE8wdqeDP5z5fDZ3POERtQ95IiLi3WocnFauXFmrEw8ePLhWrxfvk/H0p7S9MJYW/Tu7/di17cl0vGuSBvLf11MJMPgwdHhPJt59tdvrFRER71Tju+qMRmOtlk5xOBw1fq2n6K66mju6aR9rH18IwBnjLqDN+T3devza3FW3e182Y+58jUGDuvPshOtdz7VuEY6fn59b6xQRkYanXu6qu/HGG08ITocPH2bx4sUYDAbi4+Np3749ALt37yYjIwOn08kll1xCVJTuRGpqNjz/RekvBmg1tHpNIqsyN6mmPZnGPvAm2ZlHaesTTkba764Fedu3bVGtGkVEpGmocXCaNWtWucdms5mBAwdy4YUX8uqrr9KtW7dy27dt28Z9993HunXr+PHHH2t6WvFC2Wt+pzivEIDWiT2qtB5ddZtZQml4SkxMJDEx8ZRh6/hFecNMARSVFFMSDH5+9bNWnoiIeKcaX6r7u+TkZJYuXUpmZiYBAQEV7lNYWEjXrl0577zzmDNnjjtOW690qa5mVox5E/sxGxgNDP3w7lMGJ3c0szyZq299EfsfxQSbSi/DHSjO4757LubKYf1rfEwREfFe9XKp7u+++uorEhMTKw1NAIGBgZx77rl89dVX7jqtNHD7l/1WGpqAdpecWaXRJnc0s6zMZWOfIyTXF/8/F+Ul0sR3MyfX6FgiItL0GN11oLy8PA4dOnTK/Q4dOuTquSON39a3vwPAYDLS7eYhVXrN35tZhoaGEhsbS1JSEgDp6ek1rue9F+8kx17I/uJcHn3iSj6dOb7GxxIRkabHbcEpNjaWFStWsGrVqkr3+f7771m+fHm5PjvSeDkcDnyCSi+Hdbi2apfBqtPMsipmLVzOkEsnsXXHPgBaRIXz2mu3sGLxFM7uW71J6iIiIm4LTo888gh2u51hw4Zx1113sWzZMjIzM9mxYwfLli3jrrvuYtiwYZSUlPDII4+467TSgJlMJs597zbOenE0na4dUKXXlDWzhL+aV5apTjNLm83Gedc8yedz19DGN5zb7n/bta1zTOvqvA0REREXt81xGjFiBP/9738ZP348b731Fm+//Xa57U6nEz8/P1566SVGjBjhrtOKFwjr1LJa+9e2meWzb3zCstQNtPIJASPkOgrpdWbMSV8jIiJSFW67q65MVlYWM2bMYPXq1ezfvx+n00mbNm0455xzuOmmm+jYsaM7T1evdFdd1X1/6wxaDzmdLjckVPu1Nb2rLjcnn8uSX6CVIQQfgwm7s4SDTgsp7z1Ai6jwGr0PERFp/Krz/e724NSYKThVzbb3VrDn8wwA4iZdRVRc+2ofw2q1VruZ5ZBLJ9HGtzQgHbEXMCixG5MeuLbG70NERJoGj7QjEIHSCeF7vlgHgE+w3wmhqSpdwKF6zSzLDEs6kzVfbyfHVMjiBY8QEhJYszchIiJSCQUncautby6DktJBzB73DgNq1gX8eJWFplvHT2fbVjMrP5sCwMS7r2bHpQc0+VtEROqMWy/VOZ1O5s+fz6effsr27dsrvW3cYDCwY8cOd5223uhS3ck5HA6Wj3wNnOAbFsDg2XfUSRfwdZt3cc/4mUT7hGE0GChpbeR/b97vpnchIiJNjUcu1dlsNi655BKWLVtWaY8dg8FQ5f474n02/TsV/vx4Y8eXNqt0dxfwa+94mSKzlbZ/zmU6WGzh/y4f5vb3IiIiUhG39XF68cUXWbp0KZdeeinbt2/nhhtuwGAwYLVa2bx5M5MnTyY4OJjx48dTUlLirtNKA+GwOcj+sXQU0S8ymMjY0rlN7uoC/s3KDIZeOhnTH06C/1wuJT+8mGWLJ3FN0kD3vyEREZEKuG3E6X//+x+RkZG8//77BAcHYzSWZjJfX1+6d+/OE0884Zrs2717d26++WZ3nVoaghIHYd1ak7ftAGc+djlQvS7gJ5v8bbPZeOXfS4j2LR0+3V+cy5P/uo4hA3rUxTsRERGplNtGnDIzM+nfvz/BwcGlB/4zODkcDtc+5557LgkJCbzxxhvuOq00EKYAP8567jqGLhznanjpri7gfn5+FAU4yHdYoa2JFYunKDSJiIhHuG3EyWQylZtQVRagsrOzad36r7uc2rZty+eff+6u00oDYzKZyj2uSRdwm81G0pjnCAjw5Ys5jwKQOu8R9piP6I45ERHxKLeNOLVt25bdu3e7Hnfp0gWAH3/8sdx+69evJyQkpFbnmjZtGiNHjqRTp04YDAY6dOhQ6b4vvvgiQ4cOJTo6Gn9/f6KjoznvvPP49NNPa1WDlLLlFrB0xH/55bGPKC60nbA9ISGB6OhoCgoKSElJ4aWXXiIlJYWCggKio6MZNGhQuf1fnZnKxSOepWVxMH65BhZ/+ytQOuqk0CQiIp7mthGngQMHkpKSQmFhIYGBgVx88cX885//5L777sPf35/TTjuNt99+m82bN3PZZZfV6lwTJ04kMjKSPn36kJOTc9J916xZQ8eOHbnkkkuIioriyJEjfPTRR1x55ZVMmTKFJ554ola1NHXpkxdBiZPc3/ZjL7DhG+hXbru/vz/Jycmn7AKen1/IpTc+R/OSYFr4hOBwlnC4pIC+sR088K5EREQq5rY+Tl988QW33norb731FpdfXjo5+MEHH+Tll192zWFxOp0EBwfzyy+/0L179xqf6/fff6dTp04AxMbGkp+fz65du6r8ervdTp8+fdixYwc5OTn4+vpW6XXq41Re4cFc0u6cBUBol5b0f2H0KV9T0UTwqa+msOrr34j0Kb28e9ReQO+zO/D8xDFur1lEROTvPNLH6ZJLLjmhyeGLL77IWWedxSeffMLRo0fp1q0b9957L127dq3VucpCU035+PjQrl07NmzYgM1mq3JwkvLSn/wEJ04MGIh74soqvebvoen1OV+xbunvRPoEY3eW8IfTwmdzxxMeUbvLuSIiInWhzpdcGTVqFKNGjarr05zSkSNHcDgcHD58mJSUFL788kuGDBnimsQuVWe1Wlm+5FvWRmRha+kkwOmD4ecfqryEyvHuvnEYCz/8AV+DicEX9eDxe0bUUdUiIiK112TWquvWrRuHDx8GSu/8uvLKK3nzzTdP+hqr1YrVanU9zsvLq9MavUG5JVT+nM5UZLCzatUqMjMzT7mEivnAYa67/b+MvGog99xU2gTztZdupmuH1vj5+VX6OhERkYagToLTmjVrWLVqFfv378dgMBAdHc25555L//796+J0VfLxxx9TVFTEvn37WLhwIcXFxeTn59OyZctKXzNt2jSmTJlSj1U2fGVLqPgWG+i0L5D27dsRNjK2Skuo3DnxbfZsPERbUzifffwzd/zjfPz8/OjZrX09vwsREZGacWtw2rZtGzfeeCM///wzgGtdurJ5Lf3792fOnDm1nuNUE4MHD3b9ftNNNzF69GgSEhL47bffaNasWYWvmTBhAg888IDrcV5eHu3atavzWhuysiVU+kZ2xW/HUfo9cDl+4UEApKSkkJ6efkJw2pF1gJvGvUm0KYwwUwDWEjvOwJM3vRQREWmI3BaczGYzQ4YM4eDBg7Rp04aRI0e6+itlZWXx0Ucf8dNPPzF06FB++eUXoqOj3XXqGklOTuaDDz7g448/5pZbbqlwH39//2rP2WnMjl9CZdBtlxL6QKhrW2VLqNw6fjrmrUdo6/PXory33XY+o684p56rFxERqT23BaepU6dy8OBB/vnPfzJt2rQT5qs899xzTJgwgZdeeolnnnmGV1991V2nrpHCwkKgdNK4VE3ZEioWi4WsrCxiY2Nd2ypaQuXS5OcIzvUhzBRAUUkxhcF2li2a5JHaRURE3MFtncOXLFlC9+7defHFFyuc5Ovr68sLL7xA9+7dWbx4sbtOe1LHjh0jPz//hOcdDgevv/46UNq4U6oual/pn198vpiNGzdisVjYuHFjhUuoPP3odRSU2DhQbOEfdw7hy/cf80TJIiIibuPWS3UjRpz8VnKDwUCfPn1ISUmp1bnmzp3rGuHIzs7GZrMxdepUACIiIhg3bhwA27dvZ8iQIVxzzTV0796dyMhI9u7dywcffMDWrVtJTk7m3HPPrVUtTUn+viO03mUku4uJY1hP+BwjmkXx1Ksr6BN/FuERIZx5Rgf+74EkkobGeaZgERERN3Nb5/CWLVty+umns3LlypPuN3jwYLZs2cIff/xR43MNHTqUFStWVLgtJibG1UX80KFDTJo0ie+//549e/ZgsVgIDw8nPj6esWPHcv3115/QkPFkmnrn8J8eWkD+jj+wG5343NWLdevXuZZQ2XWwmKytDoIMAewvyWXFp7obUUREvINHOoefffbZfPHFF6SmppKUlFThPkuWLGH16tW1Xqtu+fLlVdqvefPmrktyUjsOh4P8HaVhN7xdcwZecD7nX3A+Gb/t5N6HZ9HGJ4wggy+FJcWERgR5uFoREZG64bbg9Oijj7JkyRKuvPJKrr/+eq6//no6dOiAwWBg586dzJ8/nwULFmAymXj00UfddVqpJ9tn/DWS2PP+YQCMuvs/HNtTQFvf0jvmDhTn8fBDV+rSnIiINFpuHXGaOXMmd9xxB7Nnz2bOnDnltjudTgIDA3n77bc1IdsLmZf+BoApyI/QDi0YcsUkog1hhJj8KSwppqSZge9mTfZskSIiInXMrQ0wx4wZw9ChQ3nnnXf4/vvv2b9/PwBt2rTh3HPP5ZZbbmnyDSQbsuP7Lx3vcMZuSmx2AGJGnAVAr94x/LHhCH8UW3hi4gjOG9SrXmsVERHxBLdNDq+qjz76CLPZzL333lufp3WLxjg53Gq1snr1ajIyMlwTvePi4sot2Ht4/W7Sn/+C7PwCRn/yoOu1L0z/lPF3XuGp0kVERNyiOt/v9R6czj77bNasWYPD4ajP07pFYwtO5Rbs/Zvo6GjXgr33PTGT7RlmQo3+RPYM582nb/VAtSIiInXDI3fVifcpW7A3KCiIpKQkYmJiyMrKci3Y++3S73hu+g+0NoYS/ucac2bzUU+XLSIi4jEKTk1Y2YK9SUlJruVTyv5MSUlh9eqfuNQUgRknG4rzGXtzImOuVsNQERFpuhScmqjjF+wtW6C3zANPppDQE/z9oA8GcBp4+LFRRJ/dzROlioiINBhuW6tOvEvZgr3w1wK9ZcKDSkr3sRkwYMDo56PQJCIigoJTkxYXFwdAamoqb81a6Fqw96weIQC0PVy6WHPrIad7qkQREZEGRZfqmrCEhAR+XbuegmO5FGRt4qWXNrm2hTn8OS07AIDudyZ6qkQREZEGpcbByWQyubMO8YAb7nsD+0ErbVv7ER5ZjK+fk9DQUM4880zsb2zAp8RAcEyUPmsREZE/1Tg41ab9U0XdqaX+mA8c5rrb/ksbUxj+Bj927bMSHd6at564DYPBwJa3v2NfSelnVLYunYiIiNQiOJWUlLizDqknT76ykB+WbqWtT+nCvObiPF6cdgN9e3V27WM/ZgXAJ7h0XToREREppTlOTcyKbzfR0jcUW4mdY8HFLF80+YR9Yv85nDPuvpDC7Nz6L1BERKQB0111TcwNY4fwR7GFoVf24sv3H6t0P5OfiZC2kfVYmYiISMNX72vVeTNvXKtuzL2vsnvnIVZ+PuWU+9ryC9n4whJ63DeMgMiQeqhORETE86rz/a4Rp0bqj0M5DL5sEsW7bbT1CSdpzLRTvua3V77m6Pq9rL5lhlcuwiwiIlLXNMepEbFaraxevZrvV/+Is6SYwb1N5B6xsXmflX/dc+0pX38kvbSDuH9UiFoQiIiIVEDBqZGwWq3Mnj0bs9nses7Xz0nz1jaujW/DwLjOJ3k17F6cgbOk9Kpt99uH1mWpIiIiXkuX6hqJ1atXYzabsRcb2LcrgF/WGfELjyEoKAiz2UxaWtpJX7/zfz8CYPA10aL/yUOWiIhIU6Xg1EhkZGQAcHCfP1uzC3j91TuZcP9YkpKSAEhPT6/0tfn7jmDPL+3dFJ2odelEREQqo+Dk5TZt243T6cRisQAQcFokKxZPoX3b0saVMTExAFgslkq7vW/+7zeu37vdrnXpREREKqM5Tl7KZrNx0ahpRDgCOPeSnoSGhmKxWLj9urPL7ZeVVTrhOzQ0tNKlbgrNOQAERodrUriIiMhJKDh5oU3bdnP3A+8R7RsGRvj085+Z/M8hrFq1itTUVKB0pCkrK8v1OD4+vtLjDZ5zBwdWb8O/WXC91C8iIuKtFJy8zLNvfMLKLzcR7RtGidOJuSSPJQsexdfXSGZmJmazmZSUlHKviY6OZtCgQSc9buuEbnVZtoiISKOg4ORFLh/7PL5HIdwUiLXEjqGlDyvf+asjeHJyMmlpaaSnp2OxWAgNDSU+Pp5Bgwbh7+9f4TGLjuSrS7iIiEgVacmVavDkkiuX3DCNUIsfBoOBHHshF1/dh3tuSqp0f6fTWemcpjL5ew7z073zMPgYGfjfGwiKjnBz1SIiIg2fllxphJ7/1z/IKylif3Eur712y0lDE3DK0ASwbcYKAJz2EvxbhrqlThERkcZMl+oasNTlGZw/qAd+fn707Naep54eRd9e7mtOmfPbfkBLrIiIiFSVRpwaqEenvc+bL33JBSOedj3nztBUeDAXZ3HpQr5th/dy23FFREQaMwWnBujaO15m+497CTb5EW4I4Mf07W4/x9Z3l7t+b39VX7cfX0REpDFScGpgzhv5JBx04Gf04ai9gOS7EhkY39Xt5zm6fi8Afs2CdJlORESkijTHqYGw2WxcMOJp2vqEgwEOFlt48z+30r1zW7efq/BwPiU2OwDRF/R0+/FFREQaKwWnBuLCq5+mrW84APuKc1nywaOEhASW26cqLQaqxO4gOCaKwv05dLxuQO2PJyIi0kQoODUQbTpEYt9rI9tYwMrFfzW1tFqtrF69moyMDFdTy7i4OBISEiptankqga3CGfjKGHeVLiIi0mSoAWY11HUDzAWffs/oK85xPbZarcyePRuz2XzCvtHR0SQnJ9c4PImIiEip6ny/a8SpATk+NAGsXr0as9lMUFAQSUlJ5RbuNZvNpKWlkZiYWK1zZL6fxtF1e+h682Aiuke7s3wREZFGT3fVNWAZGRkAJCUlERsbS2hoKLGxsSQllXYNT09Pr/Yx9y5eR962A6yb+qk7SxUREWkSFJwaKKfTicViASAmJqbctrLHFouF6lxpteUX4ii0AdAyoZubKhUREWk6FJwaKIPBQGho6fpxWVlZ5baVPQ4NDa3WXXaZs1e7fu+SfM5J9hQREZGKKDg1YHFxcQCkpqayceNGLBYLGzduJDU1FYD4+PhqHS/7h9IO5KYgP3wD/dxaq4iISFOgyeENWEJCApmZmZjNZlJSUspti46OZtCgQVU+lqPIhv1Y6WW6FgO7uLVOERGRpkLBqQHz9/cnOTmZtLQ00tPTXX2c4uPjGTRoULVaEWyf89dluq436TKdiIhITSg4NXD+/v4kJiaSmJhYq87hOb/tA8AU6Ivf3zqSi4iISNUoOHmR2iy3MvCVMRz9bR/WnAI3ViQiItK0KDg1Ic16uH/BYBERkaZEd9U1AYWH8z1dgoiISKOgEadGzuFwkHbrDDAa6HnvRbQecrqnSxIREfFaGnFqQOpiveWsj34u/aXESXjsaW4/voiISFOiEScPs1qtrF69moyMDFe7gbi4OBISEqrVbqAy+77eAIDRz4fAqJBaH09ERKQpU3DyIKvVyuzZszGbza7nLBYLq1atIjMzk+Tk5FqFJ4fDge1o6V10zWI1MVxERKS2FJw8aPXq1ZjNZoKCgkhKSiImJoasrCxSU1Mxm82kpaWRmJhY4+Pv+TTd9Xu3W4e6oWIREZGmTXOcPCgjIwOApKQkYmNjCQ0NJTY2lqSkJADS09NP8upT25u6DgCDr4mg6IhaHUtEREQUnDzG6XRisVgAiImJKbet7LHFYqnVhHHrodI2BOGnR9f4GCIiIvIXBScPMRgMhIaGApCVlVVuW9nj0NDQGncLd9gcRPRoi8HHRPdbhtSuWBEREQE0x8mj4uLiWLVqFampqQDl5jgBxMfH1/jYJj8TfZ++xi11ioiISCmvDE7Tpk1j7dq1/Prrr+zcuZOYmBh27dp1wn5Op5P58+ezePFifvnlF/bv30/z5s2Ji4vjscceY8CAAfVf/HESEhLIzMzEbDaTkpJSblt0dDSDBg3yUGUiIiJSEYOzLrou1jGDwUBkZCR9+vTh119/JSwsrMLgVFRURGBgIL179+bSSy+lU6dOmM1mpk+fzv79+5kzZw5jxoyp8nnz8vIIDw8nNzeXsLAwt7wXq9VKWloa6enprj5O8fHxDBo0qMatCA6s3sbOD36i46gBtE7o5pY6RUREGqvqfL97ZXD6/fff6dSpEwCxsbHk5+dXGJzsdjurVq064Zb+AwcOEBsbi4+PD/v378dorNpUr7oITsdzOp01ntN0vLS7Z1O4PweDycB5C+91Q2UiIiKNV3W+371ycnhZaDoVHx+fCvsgtW7dmsGDB3Pw4EH++OMPd5dXY+4ITQCF5hwAQjq2dMvxREREpJRXBid32LdvH35+fkRERHi6FLc6+ts++HMMsfMNmiMlIiLiTl45Oby2vvjiC9asWcOYMWMICAiodD+r1YrVanU9zsvLq4/yamX3J7+6fo/q3d6DlYiIiDQ+TW7EaevWrdxwww20adOGF1988aT7Tps2jfDwcNdPu3bt6qnKmsvZUrrunU9o5YFQREREaqZJBaedO3dy4YUXApCamkrLliefAzRhwgRyc3NdP3v27KmPMmvFbikCIELdwkVERNyuyVyq27VrF4mJiVgsFr755ht69+59ytf4+/vXuCWAJ+RnHXL93v7Kvh6sREREpHFqEsEpKyuLxMREcnJy+Oabb+jXr5+nS6oTITHNOfuNZPYsyaBZj7aeLkdERKTRafSX6rKyshg6dChHjx7l66+/5qyzzvJ0SXUqKDqC7rcM9XQZIiIijZJXjjjNnTvXtRBudnY2NpuNqVOnAhAREcG4ceMAsFgsJCYmsmvXLu655x62bdvGtm3byh3rwgsvpFWrVvX7BkRERMQreWXn8KFDh7JixYoKtx2/bt2uXbvo2LHjSY/13XffMXTo0Cqdt647h9fG0d/2sfbxhfiGB5Hw1s2Y/EyeLklERMQrVOf73StHnJYvX16l/Tp06IAX5sIayVr0CzihOKdAoUlERKSONPo5Tk1F7p/9m3zVv0lERKTOKDg1Evb80g7n4T3aeLgSERGRxkvBqRE4ummf6/cOVzfOVgsiIiINgYJTI5C16BfX7+Hd1DFcRESkrig4NQK5WzW/SUREpD4oODUCRt/Su+gieqpbuIiISF3yynYEUt65792Gw+GAYoenSxEREWnUFJwaCZPJBCb1bxIREalLulTn5Y5u2lc62iQiIiJ1TiNOXm7t4wsBiBl5Fl2uH+ThakRERBo3jTh5sSMbd7t+b9G/swcrERERaRoUnLzY7kVrXb+Hd2nlwUpERESaBgUnL5a79QAAvmHq3yQiIlIfFJy8mP1Y6fp0ET3Uv0lERKQ+KDh5qcPr/5rfFDPiLA9WIiIi0nQoOHmpPZ/8Ob/JoPlNIiIi9UXByUtFxrXDr1kQwe2jPF2KiIhIk6E+Tl6q/eV9aX95X0+XISIi0qRoxElERESkihScvNCuj39h03++psCc4+lSREREmhRdqvNCWR//jP2YjcPpuxg863ZPlyMiItJkaMTJC9mP2QCI6Kn+TSIiIvVJwcnLHM74q39TB/VvEhERqVcKTl5m96e/lP5igLBOLT1bjIiISBOj4ORl8rYfBMA3LNDDlYiIiDQ9Ck5epmx+U7PY0zxciYiISNOj4ORFDq3d5fq9wzWa3yQiIlLfFJy8SLMz29H1liFExrUjtEMLT5cjIiLS5KiPkxcxmUy0vzSO9pfGeboUERGRJkkjTiIiIiJVpODkJQ5n7Oa7Ua/zy6MferoUERGRJkvByUtkffILJVY7udvMni5FRESkyVJw8hLq3yQiIuJ5Ck5ewlFQ2r8pUv2bREREPEbByQtk/7rT9XuM+jeJiIh4jIKTF9jz2drSXwyof5OIiIgHKTh5Acvv2YDmN4mIiHiagpMXKCl2ABDasbmHKxEREWna1DncCyR+cDeFB3PBx+TpUkRERJo0BScvEdgq3NMliIiINHm6VCciIiJSRRpxauBW3fwOttxCmvfrwJkTLvd0OSIiIk2aRpwaOFtuIZQ4cRQVe7oUERGRJk/BqQFzFNmgxAlAy4FdPVyNiIiIKDg1YPuW/eb6PTrxdA9WIiIiIqDg1KBl/5BZ+ovRgCnAz7PFiIiIiIJTQ3Zs9xEAfIP9PVyJiIiIgIJTg1acXwRAcPsoD1ciIiIioODUoBl9SzuFtxjYxcOViIiICKiPU4OW+MHdADgcDg9XIiIiIqARJ69gMmmNOhERkYZAwamBKjDnaKRJRESkgdGlugbqh3FzoMRJ66Fn0PO+izxdjoiIiKARpwbJYXO4OoYHt4v0cDUiIiJSRsGpATq4aovr9zYX9fRgJSIiInI8BacG6OD320p/MYBfSKBnixEREREXBacGyLLrEAA+QeoYLiIi0pAoODVA9rxCAILaNvNwJSIiInI8rwxO06ZNY+TIkXTq1AmDwUCHDh0q3XfNmjXce++9JCQkEBwcjMFgYNasWfVWa3U5HA6cf04Mb35WRw9XIyIiIsfzyuA0ceJEli1bRufOnWnW7OSjMkuWLOH1118nJyeHuLi4+imwFmw5hfiGB2IwGmg7rJenyxEREZHjeGUfpx07dtCpUycAYmNjyc/Pr3Tfu+66i/HjxxMcHMzChQtJS0urrzJrJDAqhMGzbvd0GSIiIlIBrwxOZaGpKlq1alWHlYiIiEhT4pWX6hqzrE9+IT/rkKfLEBERkQooOJ2E1WolLy+v3E9dcjgcZM5ezU/3zyfrk1/q9FwiIiJSfQpOJzFt2jTCw8NdP+3atavT82X/9Lvr9+jEHnV6LhEREak+BaeTmDBhArm5ua6fPXv21On5Dq78c6kVA/iFB9XpuURERKT6vHJyeH3x9/fH37/+undbMv8AwBToV2/nFBERkarTiFMDYsspACAwOsKzhYiIiEiFFJwaCIfDgdNRAkBUXIyHqxEREZGKeOWlurlz55KVlQVAdnY2NpuNqVOnAhAREcG4ceNc+2ZlZTF37lwANm3aBMDnn3/O3r17Abj88svp3bt3fZZfoSO/Zrl+b5vk+XpERETkRAan0+n0dBHVNXToUFasWFHhtpiYGHbt2uV6vHz5chITEys91syZMxk7dmyVzpuXl0d4eDi5ubmEhYVVp+RTys08yJY3l1KcV8g579zi1mOLiIhI5arz/e6VwclT6jI4iYiIiGdU5/tdc5xEREREqkjBqYH49fGF7Fy4BkeRzdOliIiISCUUnBqAQ2t3kbNpH7/P/wGbpcjT5YiIiEglvPKuusYmuG0zWgzsTIE5h8AWmjslIiLSUCk4NQCBrcLp/cilni5DRERETkGX6kRERESqSMFJREREpIoUnERERESqSMFJREREpIoUnERERESqSMFJREREpIoUnERERESqSMFJREREpIoUnERERESqSMFJREREpIoUnERERESqSMFJREREpIoUnERERESqSMFJREREpIoUnERERESqSMFJREREpIoUnERERESqSMFJREREpIoUnERERESqSMFJREREpIoUnERERESqyMfTBXgTp9MJQF5enocrEREREXcp+14v+54/GQWnarBYLAC0a9fOw5WIiIiIu1ksFsLDw0+6j8FZlXglAJSUlLB//35CQ0MxGAyeLser5eXl0a5dO/bs2UNYWJiny5GT0GflPfRZeRd9Xg2H0+nEYrHQpk0bjMaTz2LSiFM1GI1GTjvtNE+X0aiEhYXpfxheQp+V99Bn5V30eTUMpxppKqPJ4SIiIiJVpOAkIiIiUkUKTuIR/v7+TJo0CX9/f0+XIqegz8p76LPyLvq8vJMmh4uIiIhUkUacRERERKpIwUlERESkihScRERERKpIwUncasGCBfTt25fAwECaN2/O6NGjycrKOuXrjh49yn/+8x8uuugi2rVrR2BgIN27d+f2229nz5499VB501PTz6oi1157LQaDgdNPP93NVQrU/rNyOBxMnz6dAQMGEBoaSkhICL169eKpp56qw6qbrtp8Xk6nk7lz53L22WcTFRVFWFgYvXr14plnniE/P7+OK5eq0ORwcZvXXnuNe+65h4SEBMaMGcOhQ4d45ZVX8Pf35+eff6ZNmzaVvvbLL7/kkksu4bzzzuP888+nefPmbNq0ibfeegs/Pz/S0tLo0aNHPb6bxq02n9XfffHFF1x++eX4+/vTvn17tmzZUoeVNz21/ayKi4u5+uqr+fLLLxk1ahQJCQkYjUZ27dpFdnY277zzTj29k6ahtp/XhAkTePbZZznvvPO46qqrMJlMfPPNNyxatIjBgwezYsWKenonUimniBscOnTIGRIS4uzTp4+zuLjY9fzPP//sNBgMzltuueWkr9+5c6dz+/btJzz/zTffOAHnNddc4/aam6raflbHs1gszvbt2zvHjRvnjImJcXbv3r0uSm6y3PFZPfHEE06j0ej88ssv67JUcdb+8youLnYGBQU5+/Tp43Q4HOW2XXHFFU7AuXnz5jqpXapOl+rELT799FPy8/O599578fH5ayWffv36MXjwYD788ENsNlulr+/QoQNdunQ54fkLLriAyMhINmzYUCd1N0W1/ayO9/jjj1NcXMzTTz9dV+U2abX9rI4dO8Yrr7zCZZddxrBhw1zrcUndqO3nVVxcTGFhIa1btz5hvbSykaqgoKC6KV6qTMFJ3GLNmjUADBo06IRtgwYNwmKx1OgSTm5uLhaLhZYtW9a6Rinlrs/q559/5tVXX+Xll1/WOlt1pLaf1ffff09eXh79+/fnoYceIiIigrCwMCIjI7nnnnsoKCios9qbotp+XoGBgQwaNIgvv/yS559/nszMTHbt2sU777zDzJkzufXWW2nfvn2d1S9Vo+AkbrFv3z6AChdBLntu79691T7u1KlTKS4uJjk5uXYFios7Piu73c5tt93GBRdcwHXXXef+IgWo/WdV9iX9yiuvMH/+fKZOncrChQu55JJLeO2117j88stxapqr27jjv63333+fwYMH88gjj9C1a1c6duzInXfeycSJEzUfrYHwOfUuIqdW9jfXipYOCAgIKLdPVX344Ye8+OKLXHjhhdx00021L1IA93xWL774Ilu3biUlJcX9BYpLbT+rsstyR44cYf369a4bLEaMGAHAvHnz+Prrrxk2bJhb626q3PHfVlBQEN27d6d9+/YMHz4co9HIJ598whNPPIHD4WDy5Mlur1uqRyNO4hZl192tVusJ2woLC8vtUxVLlizhhhtuID4+no8++uiE6/1Sc7X9rHbs2MGUKVOYOHEinTt3rpsiBaj9ZxUYGAjAgAEDTrgr9eabbwbgu+++c0utUvvPq6CggEGDBpGbm8vs2bMZPXo01113HQsWLOCmm27iySefJCMjo05ql6rTt5G4Rdu2bYGKh6FPNnxdkS+//JKrr76a008/na+//prw8HD3FSq1/qwefPBBmjVrxnXXXceuXbtcP3a7neLiYnbt2sXBgwfrpvgmprafVdm26OjoE7aVPXfkyJFa1ymlavt5LVy4kO3btzNy5MgTtl133XU4nU61I2gAFJzELc466ywA0tLSTtiWlpZGSEhIlZojfvXVV1x11VV069aNpUuXEhUV5fZam7rafla7du1i//79dO/enY4dO7p+9u3bx++//07Hjh01J81NavtZDRgwAKDCJrK7d+8GoFWrVu4oVaj951UWroqLi0/YVvac3W53R6lSGx5uhyCNRHZ2tqv/SEX9S26++WbXc/v373du3rzZeezYsXLH+Oqrr5wBAQHOXr16ObOzs+ut9qamtp/VsmXLnIsWLTrhp0WLFs62bds6Fy1a5ExLS6vX99RYueO/q8GDBzsNBoPzhx9+cD1XUlLivPzyy52APis3qu3n9cknnzgBZ1JS0gnHvuqqq5yAc+XKlXX7JuSUFJzEbV555RUn4ExISHBOnz7dOXXqVGdUVJSzdevWzr1797r2S05OdgLO7777zvXczz//7AwICHD6+/s7X375ZefcuXNP+BH3qc1nVRk1wKwbtf2s1q1b5wwNDXWGhYU5H3vsMedrr73mvOiii5xAuS9ycY/afF52u93Zv39/J+A899xznS+//LLzlVdecQ4dOtQJOC+99FIPvCP5OwUncat58+Y54+PjnQEBAc7IyEjndddd5/z999/L7VPR/zBmzpzpBE76I+5V08+qMgpOdae2n9XGjRudV111lbNZs2ZOPz8/Z48ePZwvv/zyCd2pxT1q83kdO3bM+dxzzznj4uKc4eHhTn9/f2fPnj2dTz/9tNNqtdbju5DKaK06ERERkSrS5HARERGRKlJwEhEREakiBScRERGRKlJwEhEREakiBScRERGRKlJwEhEREakiBScRERGRKlJwEhEREakiBScRERGRKlJwEhEREakiBScRERGRKlJwEmniDAZDuR+j0UhERATnnnsu7777LlrOsu4sX778hH/+OTk5J+z33XffYTAYuP322+u/yONE/H979x9TdfXHcfx59eIFf6Bs3pnJCEazLqATSxkFGkH/FDIX9o9FXNjUwT/S0C2lTVyrXPVHunT81XW2Ba5fJv1YMH6kl7GoCcLIxBHkj7LIGhe8iHD5fP9w9/q9XlDwYvf7ldfjP845n3Pfb/6A9845n3MXLfKL9fDhwyGNRyQUzKEOQET+N+Tn5wPg8Xjo7u6mqakJp9NJXV0dlZWVIY7u/hYfH09aWhoAc+bMCeg/deoUAI899ti/GtetNm/ejNvtpq2tjdOnT4c0FpFQUeEkIgABqwe1tbU8++yzVFVV8eKLL5KdnR2awGaAtLS0267etLa2AqEvnA4dOgRAeXm5CieZsbRVJyLjeuaZZ8jLywPg2LFjoQ1mhjt16hRhYWGsWLEi1KGIzHgqnERkQsnJyQBcuHABgN7eXkwmE0899RQul4vS0lLi4uIICwujpKTE79ne3l62bdtGbGwsFosFq9XKpk2baG9vD/icM2fOkJeXR3x8POHh4VitVlatWkVJSQm///77XY31nh+y2+3j5ma32zGZTDQ2NvrFfC/yC4bb7aarq4ukpCSGh4d59dVXiYuLw2KxYLPZbrtS5XQ6eeWVV1i9ejVWq5W5c+dis9nYtWtXwFkqb+6ZmZlcuXKFkpISYmNjMZvN7Ny5c1pzEvl/pq06EZnQwMAAABaLxa99aGiI9evX8+uvv7J+/XpWr15NVFSUr9/pdPLcc8/hcrlITEwkJyeHS5cu8dlnn/H111/z1VdfkZGRAdxYTUlLS+PatWusXbuWtWvXMjAwwC+//ML+/fvZuHEjS5cunfLYYExnfsE6ffo0Ho+HJUuWkJyczPXr10lNTeXixYs0NzdTUFDAyMgIW7ZsCXh28+bN/P333yQmJpKRkcHQ0BBNTU3s27eP2tpavv/+e2bPng1AW1sbAOHh4axcuZKxsTHS09NJTEwkJSVlWnIRuS8YIjKjAcZ4fwrGxsaM1NRUAzDKysoMwzCMnp4e3/jU1FTjn3/+CXiuv7/feOCBB4ywsDDj448/9uurra015syZYyxbtswYHh42DMMw8vPzDcD49NNPA+b66aefjN9++83381TGNjQ0GICRn58/bt7euRoaGnxt9yK/27lTjIZhGAcPHvTFtGPHDmNkZCSgb8mSJYbH4/F7bnR01Pjkk08Mt9vt1z44OGikpKQYgFFfX+9r37Nnj+9zioqKjGvXrk0Yk3esw+G4Y44i9xtt1YmIH4/Hw7lz5ygsLKS5uRmLxUJBQUHAuAMHDrBo0aKA9g8++IDLly+zY8cONm3a5NeXlZVFcXExly5d4ssvvwTgzz//BODpp58OmMtms/mtIE1lbLCmK79ged+oy8nJ4Z133sFsvrlRUFRUxEMPPcQff/xBV1eX33OzZ88mNzeXiIgIv/Z58+aRm5sLwPnz533t3sPe6enpvP/++wGrjCJygwonEQFu3udkNptZvnw5hw8fZsGCBVRWVhIfH+83dunSpTz++OPjzlNbWwvAxo0bx+33vnb/ww8/ADffFHv55ZdpaWlhbGxswhinMjYY05lfsLxv1L3++usBfSaTiUceeQQAl8sV0O9yuaiqqmLXrl1s3boVu92O3W7nww8/BPArDL1bde+++y6zZulfg8hEdMZJRICb9zjNmjWLyMhIVqxYwfPPP+93tscrJiZmwnl6e3sB7ngu5q+//gJg586dOJ1Oqqurqa6uZuHChaSkpJCdnY3dbmfBggW+Z6YyNhjTmV8wRkZG6OzsxGazsXLlynHHDA0NAWC1Wv3aDxw4QFlZGYODgxPOb7PZAOjv76e3t5fo6GjWrFkTdNwi9zMVTiICBN7jdDvh4eET9nk8HgBeeOEF5s6dO+E4b+ERGRlJfX09TU1NVFdX09jYSF1dHTU1Nbz11lucPHnSt+I1lbF3crvVqunMLxidnZ0MDw9PeH/T6OgobW1tREVF+RV7+/fvp6SkhOXLl7N7927S09N58MEHCQ8PZ2RkBKvVyujoKA8//DBwc5tu3bp1mEymoOMWuZ+pcBKRaRUdHc3Zs2d57bXXJlwluZXJZCItLc23zdXX18f27duprKxk9+7dHD16dMpjvTdwT7Ti4r1i4d/I7255zzfNnz9/3P6qqioGBgZ46aWXfG/HeTwe3njjDebNm4fT6QxYiaqpqaG/v58nnnjCtyXn3aZbtWrVvUlE5D6ijWwRmVZZWVlAcJdmWq1WysvLAejo6Lirsd6D4rcemga4cuWKryiZqunIb7K855u6u7sD+jweD/v27cNkMvnds3T58mX6+vqIj48PKJquX7/u+139d5HkLZy893aJyMRUOInItNq2bRtWq5U333wTh8MR8CXBV69e5ciRI1y8eBGAiooKenp6Aub55ptvAP/zRlMZGxcXR0xMDB0dHXzxxRd+n79ly5ZxD1Pfi/yC4S3u6urqOHHihK99aGgIu91OZ2cn27dv91v5Wrx4MWazma6uLr+Ca2BggLy8PH788UfAv0jybtVpxUnkzrRVJyLTKioqis8//5ycnBwKCwvZu3cvSUlJWCwWzp8/z5kzZ7h69Sqtra1ER0dTUVFBUVERCQkJ2Gw2zGYzZ8+epa2tjYiICPbs2eObeypj4cZ3qhUWFpKbm8u6deuYP38+LS0tREZGkpOTw/Hjx+95fndrbGyM9vZ2YmNjWbNmDVlZWWRmZhIZGUlDQwN9fX1s2LCBt99+2+85i8VCXl4eDoeD5ORkMjMzMQyD7777jkcffZT09HROnjzpK5JGR0fp7Oxk2bJlLF68+K7jFZkptOIkItPuySefpKOjg9LSUiIiIqivr6empgaXy0V2djZHjx4lISEBuPGafWFhISaTibq6Oqqrq3G73WzdupX29nZSU1N9805lLEBBQQEOhwObzUZTUxMtLS1s2LCB5ubmcd8WvBf53a1z584xODhIQkICR44cobi4mNbWVo4fP05MTAwVFRUcO3aMsLCwgGcPHjxIaWkpCxcu5Ntvv6Wnp4eysjJOnDjBhQsXMJvNJCUlAfDzzz8zPDys1SaRSTIZt64zi4jIv6KxsZGMjAzy8/On9FZjqJWXl7N3714cDseE3wUocr/SVp2ISIg5nU5fAXLo0KHbXnMQSsXFxbjdbt9hcpGZSIWTiEiIdXd3+w5yv/fee/+zhdNHH31Ef39/qMMQCSlt1YmIiIhMkg6Hi4iIiEySCicRERGRSVLhJCIiIjJJKpxEREREJkmFk4iIiMgkqXASERERmSQVTiIiIiKTpMJJREREZJJUOImIiIhMkgonERERkUlS4SQiIiIySf8B8DuJnRnxUn0AAAAASUVORK5CYII=" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "isotherm = next(i for i in isotherms_n2_77k if i.material=='Takeda 5A')\n", "\n", "model = pgm.model_iso(isotherm, model=['GAB', 'BET', 'Langmuir'], branch='des', verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can manually set bounds on fitted parameters by using a ``param_bounds`` dictionary, passed to the ModelIsotherm." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to model using Langmuir.\n", "Model Langmuir success, RMSE is 0.247\n" ] }, { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "isotherm = next(i for i in isotherms_n2_77k if i.material == 'UiO-66(Zr)')\n", "\n", "model = pgm.model_iso(\n", " isotherm,\n", " model='Langmuir',\n", " param_bounds={\n", " \"n_m\": [0., 14],\n", " \"K\": [0., 100],\n", " },\n", " verbose=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just because a the minimisation has successfully produced a model that **does\n", "NOT mean** that the model is accurate. For example, trying to model the MCM-41\n", "sample with a Langmuir model does not throw any errors but it is obvious that\n", "the model is not representative of the mesoporous condensation in the pores." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to model using DSLangmuir.\n", "Model DSLangmuir success, RMSE is 0.0507\n" ] }, { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "isotherm = next(i for i in isotherms_n2_77k if i.material=='MCM-41')\n", "\n", "model = pgm.model_iso(isotherm, model=\"DSLangmuir\", verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating ModelIsotherms\n", "\n", "ModelIsotherms do not need to be created from a PointIsotherm. They can also be\n", "created from raw data, or from pre-generated models. To create one from scratch:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: 'pressure_mode' was not specified, assumed as 'absolute'\n", "WARNING: 'pressure_unit' was not specified, assumed as 'bar'\n", "WARNING: 'material_basis' was not specified, assumed as 'mass'\n", "WARNING: 'material_unit' was not specified, assumed as 'g'\n", "WARNING: 'loading_basis' was not specified, assumed as 'molar'\n", "WARNING: 'loading_unit' was not specified, assumed as 'mmol'\n", "WARNING: 'temperature_unit' was not specified, assumed as 'K'\n" ] }, { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pygaps as pg\n", "model_iso = pg.ModelIsotherm(\n", " material='carbon',\n", " adsorbate='N2',\n", " temperature=77,\n", " pressure=[1,2,3,4],\n", " loading=[1,2,3,4],\n", " model='Henry',\n", ")\n", "model_iso.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or if a model is to be created from pre-defined parameters, one can do:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: 'pressure_mode' was not specified, assumed as 'absolute'\n", "WARNING: 'pressure_unit' was not specified, assumed as 'bar'\n", "WARNING: 'material_basis' was not specified, assumed as 'mass'\n", "WARNING: 'material_unit' was not specified, assumed as 'g'\n", "WARNING: 'loading_basis' was not specified, assumed as 'molar'\n", "WARNING: 'loading_unit' was not specified, assumed as 'mmol'\n", "WARNING: 'temperature_unit' was not specified, assumed as 'K'\n" ] }, { "data": { "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = pgm.get_isotherm_model(\n", " 'Langmuir',\n", " parameters={\n", " \"K\": 20,\n", " \"n_m\": 2\n", " },\n", " pressure_range=(0.01, 2),\n", ")\n", "model_iso = pg.ModelIsotherm(\n", " material='carbon',\n", " adsorbate='N2',\n", " temperature=77,\n", " model=model,\n", ")\n", "model_iso.plot()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "More info can be found in the [manual section](https://pygaps.readthedocs.io/en/master/manual/modelling.html)." ] } ], "metadata": { "kernelspec": { "display_name": "sci", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" }, "vscode": { "interpreter": { "hash": "bb92cfc77ebe3751b7fb3df8620ceb006227daaf69256df93b17635e0b7c66c1" } } }, "nbformat": 4, "nbformat_minor": 2 }