{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "0", "metadata": { "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "import logging\n", "import warnings\n", "\n", "import numpy as np\n", "\n", "np.set_printoptions(precision=4)\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "\n", "logger = logging.getLogger()\n", "logger.setLevel(logging.ERROR)" ] }, { "cell_type": "markdown", "id": "1", "metadata": {}, "source": [ "# Temperature interpolation\n", "\n", "## Classes used for interpolation\n", "\n", "```{eval-rst}\n", ".. currentmodule:: thermoextrap.models\n", "```\n", "\n", "Instead of performing extrapolation, we can also perform interpolation. Classes already exist for this, namely {class}`ExtrapWeightedModel`, {class}`InterpModel`, and {class}`MBARModel`. The first implements extrapolation from two points weighted with a [Minkowski-like](https://en.wikipedia.org/wiki/Minkowski_distance) distance, the second polynomial interpolation from any number of points, and the last uses reweighting with MBAR from multiple points.\n", "\n", "Demonstrations of creating and using {class}`InterpModel` and {class}`MBARModel` classes are shown below.\n", "\n", "The {class}`InterpModel` will essentially just stitch together multiple {class}`ExtrapModel` objects generated at multiple $\\beta$ values by {class}`~thermoextrap.beta.factory_extrapmodel`. The {class}`InterpModel` class is actually based on a very general and helpful class called {class}`StateCollection`, which just holds a list of {class}`ExtrapModel` objects. {class}`InterpModel` just uses this list of objects in a specific way to implement piecewise polynomial interpolation.\n", "\n", "The functions below conveniently pull a specified number of $\\beta$ values out of a range and create {class}`ExtrapModel` objects for each $\\beta$ value in a provided list. These will be very convenient as we generate data and models at different states." ] }, { "cell_type": "code", "execution_count": 2, "id": "2", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import cmomy\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Import idealgas module\n", "import thermoextrap as xtrap\n", "from thermoextrap import idealgas\n", "\n", "# seeded random number generator\n", "rng = cmomy.random.default_rng(seed=0)" ] }, { "cell_type": "code", "execution_count": 3, "id": "3", "metadata": {}, "outputs": [], "source": [ "def get_betas(nbeta=4, betamin=0.1, betamax=10.0):\n", " dbeta = (betamax - betamin) / (nbeta - 1)\n", " return np.array([betamin + dbeta * i for i in range(nbeta)])\n", "\n", "\n", "def get_xems(betas, nconfig=100000, npart=1000, order=2, vol=1):\n", " xems = []\n", " for beta in betas:\n", " xdata, udata = idealgas.generate_data((nconfig, npart), beta=beta, vol=vol)\n", " xem = xtrap.beta.factory_extrapmodel(\n", " beta=beta,\n", " data=xtrap.DataCentralMomentsVals.from_vals(\n", " xv=xdata, uv=udata, central=True, order=order\n", " ),\n", " )\n", " xems.append(xem)\n", "\n", " return xems" ] }, { "cell_type": "code", "execution_count": 4, "id": "4", "metadata": {}, "outputs": [], "source": [ "# Define a range of beta values to test predictions at\n", "\n", "\n", "betas = np.arange(0.1, 10.0, 0.5)\n", "\n", "# Grab betas from either end, as well as data and ExtrapModel objects at reference betas\n", "beta_samp = get_betas(2)\n", "xems = get_xems(beta_samp)\n", "\n", "# Create models\n", "xemi = xtrap.InterpModel(xems)\n", "xmbar = xtrap.MBARModel(xems)" ] }, { "cell_type": "code", "execution_count": 5, "id": "5", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "OMP: Info #276: omp_set_nested routine deprecated, please use omp_set_max_active_levels instead.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make rpedictions with each type of interpolative model\n", "\n", "fig, ax = plt.subplots()\n", "\n", "out = xemi.predict(betas, order=1)\n", "err = xemi.resample(nrep=100).predict(betas, order=2).std(\"rep\")\n", "plt.errorbar(betas, out, yerr=err, label=\"interp poly\")\n", "\n", "xmbar.predict(betas).plot(label=\"mbar\")\n", "\n", "# And plot the true values\n", "plt.plot(betas, idealgas.x_ave(betas), \"k--\", label=\"True\", zorder=3)\n", "\n", "ax.set_xlabel(r\"$\\beta$\")\n", "ax.set_ylabel(r\"$\\langle x \\rangle$\")\n", "ax.legend()" ] }, { "cell_type": "markdown", "id": "6", "metadata": {}, "source": [ "The above compares polynomial interpolation and MBAR (really just BAR because using only 2 points). Both methods are used to interpolate between the two extreme values of beta. In both cases, the same data from the two edge points is used, making use of only derivatives up to 1st order for interpolation. The error bars are one standard deviation from bootstrap resampling of the predictions of each model. True values are represented by the black dashed line.\n", "\n", "We don't really expect MBAR to do any better than perturbation because it is using the MBAR weights between states to reweight the perturbation theory estimates. As such, we can see that it is \"sticky\" in that it tries to keep using a single point until it suddenly jumps to the next one. This is a symptom of the fact that the perturbation theory estimates themselves plateau. Such plateaus represent poor overlap, resulting in large free energy differences and MBAR weights that essentially act as step functions (i.e. you just pick whichever point has lower free energy over the entire interval). Extrapolation is almost always better, but note that it's predictions vary more with sampling, especially if you go to higher order." ] }, { "cell_type": "code", "execution_count": 6, "id": "7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Adding an additional reference beta value\n", "betas_samp = get_betas(3)\n", "xems = get_xems(betas_samp)\n", "\n", "xemi = xtrap.InterpModel(xems)\n", "xemi.predict(betas, order=1).plot()\n", "\n", "xemw = xtrap.ExtrapWeightedModel(xems)\n", "xemw.predict(betas, order=1).plot()\n", "\n", "plt.plot(betas, idealgas.x_ave(betas), \"k--\", label=\"True\", zorder=3)" ] }, { "cell_type": "markdown", "id": "8", "metadata": {}, "source": [ "## Recursive interpolation\n", "\n", "\n", "\n", "Also included in the library is a function to perform recursive interpolation to achieve estimates over an interval to a specified error tolerance. The model class that does this is called {class}`~thermoextrap.recursive_interp.RecursiveInterp` in the {mod}`~thermoextrap.recursive_interp` module. One of the inputs to this class is an interpolation class object (trained or not), such as {class}`InterpModel`. This function continues picking new points and dividing the original interval until all points satisfy the error tolerance, which is represented as a relative error. Details of the algorithm are provided below.\n", "\n", "```{eval-rst}\n", ".. currentmodule:: thermoextrap.recursive_interp\n", "```\n", "\n", "A key feature of {class}`RecursiveInterp` is a method called {meth}`~RecursiveInterp.get_data`. Simply put, this obtains data if provided a value of the variable over which we're extrapolating. By default, this method is just set up to return data at a specified $\\beta$ for the 1D ideal gas model, so we don't need to touch it. However, in the paper we modify this method to load in data from an MD simulation of water closest to the specified state point. If you want to generate new MD or MC data on the fly, you will need to create a new class that inherits from {class}`RecursiveInterp` and just change the {meth}`~RecursiveInterp.get_data` method to run the appropriate simulation and load in the data you need." ] }, { "cell_type": "code", "execution_count": 7, "id": "9", "metadata": {}, "outputs": [], "source": [ "from thermoextrap import recursive_interp" ] }, { "cell_type": "code", "execution_count": 8, "id": "10", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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c3e4gM/EAjz3/JpeycoyOJCIiIqjUSQFVr16dL774EoAjK39i2MQFBicSERERUKmTmzB44JMEdXoALNlMHfcqK3cmGB1JRESkxFOpkwIzmUz8MmMKbp7luZxyjAFDX+PchSyjY4mIiJRoKnVyUypXrsyP30UAcGbPZt6Yu11PmxARETGQFh+Wmxby2CMc+TKCiPiKrNx/joWxJ3ioSXWjY4mIiJRImqmTW/Lmi88wvKs/AO8s3M2J85cMTiQiIlIyqdTJLRvSvhZNqrtzfN1cnhj9HRaLLsOKiIgUNZU6uWVOjg40OLeJ82t+ZMMP7/P1bzuMjiQiIlLiqNTJbTFi+It4Vb+LnLQURr35KvuT0oyOJCIiUqKo1MltUaZMGebNmYHJ5EDazt8JGfEFGZf1tAkREZGiolInt02bNm14IWw4ADsjP+b1aWuMDSQiIlKCqNTJbfVx+Fhq178HyyUz373/Cr/GnjA6koiISImgUie3lYuLC7/O/5lSLqXJOL6blyctIOHsRaNjiYiI2D2VOrnt6taty7RpU7n/9e/ILu/Li7NjuJxjMTqWiIiIXVOpk0LRp3dvfnqtNx6uTsQmnOeTlfuNjiQiImLXVOqk0FQv58ZHjzYkMzGO8WPHsPbAaaMjiYiI2C2bKnWTJk3C19cXV1dXAgICWL9+/Q29b+PGjTg5OdG4ceN8r82bN4/69evj4uJC/fr1WbBgwW1OLdfSqAKcnv0GqZvm8OSoCSSbM4yOJCIiYpdsptRFRkYSFhbGyJEjiYmJISgoiK5duxIfH3/N96WmptK/f386dOiQ77XNmzcTEhJCaGgoO3bsIDQ0lN69e7Nly5bCOg35j6pVq/Laq68CcGzxFwyauJwcPUZMRETktjNZrVab+BO2ZcuWNG3alMmTJ+fuq1evHr169SI8PPyq7+vTpw+1a9fG0dGRhQsXEhsbm/taSEgIZrOZ5cuX5+7r0qUL5cqVY/bs2TeUy2w24+npSWpqKh4eHgU/MSE7O5sWgW2I2b4Vlzvr89HUebzU0c/oWCIiIjbnVnqHTczUZWVlER0dTXBwcJ79wcHBbNq06arvmzJlCocOHeLdd9+94uubN2/ON2bnzp2vOWZmZiZmsznPJrfGycmJeXPnULqMO5kn9vDe6LFsP3rW6FgiIiJ2xSZKXUpKCjk5OXh5eeXZ7+XlRVJS0hXfExcXx5tvvsnMmTNxcnK64jFJSUkFGhMgPDwcT0/P3M3b27uAZyNX4uvry/cR3wBwbuNsngyfxvmLWQanEhERsR82Uer+ZTKZ8vxstVrz7QPIycmhb9++jB49mjp16tyWMf81YsQIUlNTc7eEhIQCnIFcS9++fXn8iX5gtXDsz+W8/svf2MjVfxERkWLvylNcRaxixYo4Ojrmm0FLTk7ON9MGkJaWxvbt24mJieGFF14AwGKxYLVacXJyYuXKldx///1UqVLlhsf8l4uLCy4uLrfhrORKvp08idr3NGNW6t2s3HOKaZuPMaD1XUbHEhERKfZsYqbO2dmZgIAAoqKi8uyPioqidevW+Y738PBg586dxMbG5m5Dhgyhbt26xMbG0rJlSwACAwPzjbly5corjilFw93dndFvDOOtbvUB+GDpXnafTDU4lYiISPFnEzN1AMOHDyc0NJRmzZoRGBhIREQE8fHxDBkyBPjnsuiJEyeYNm0aDg4O+Pv753l/5cqVcXV1zbN/2LBhtGvXjvHjx9OzZ08WLVrEqlWr2LBhQ5Gem+T3ZOu7WLMrgfnffMjAy6f5/f2+lHGxmX8cRUREih2b+VM0JCSEM2fOMGbMGBITE/H392fZsmX4+PgAkJiYeN016/6rdevWzJkzh1GjRvH2229Tq1YtIiMjc2fyxDgmk4mcTVNIj11OTOIB3mpcjy/6Njc6loiISLFlM+vU2SqtU1d4Tpw4QX3/ezCfP4dHi4f5cdIXPBJQ3ehYIiIihin269RJyXTnnXfy05QfATBvnc/Ln0/j0Ol0g1OJiIgUTyp1YqhevXoxePBgAE4u/IRnI1aTcTnH4FQiIiLFj0qdGO6zzz6jjl89ci6cY/OU9xm3dI/RkURERIodlToxnJubGz9HzqGUswuZiQf4ccU2Vuy++lM/REREJD+buftVSraGDRvyy89z2Wwuy+xdabz+y9/43+nJnWVLGx1NRESkWNBMndiMBx98kNF92tLIuyyply7z0uwYsnMsRscSEREpFlTqxKY4OznwVZ8mWA5tZtW0z5mwKs7oSCIiIsWCLr+KzUlLOkLCLx8A8HGEH61qDqNt7YoGpxIREbFtmqkTm9OgQQNeeeUVAFKWfcHQ71dxOi3T4FQiIiK2TaVObNIHH3xAo8ZNsGSkcSAynJfn/IXFooefiIiIXI1KndgkFxcXIufMpnRpNzKO/c3SmRFErD9sdCwRERGbpVInNqtu3bp89dWXAJxfP52xU37lr/hzBqcSERGxTSp1YtOefvppHn30UbDkcOFoLC/NjiH10mWjY4mIiNgclTqxaSaTiYiICH5ZuJh7HhjA8XOXeHPe31it+n6diIjI/1KpE5tXrlw5HunZg68eb0IpRxPLdyUxc0u80bFERERsikqdFBuNvMvyTBMPkueN4e0Zq9mbaDY6koiIiM3Q4sNSrKyd8iGXDm4l8aKZoT7eLBnWHjdn/WMsIiKimTopViZO/Bp3Dw8yT+7jr4U/MGrhLn2/TkREBJU6KWbuuusuIr79FoDUzZHMWrSCGfp+nYiIiEqdFD99+vRhwIABYLWQsvgj3pm9gehjWr9ORERKNpU6KZa+/vpr6tWrR076WRIXjue5aVtJTsswOpaIiIhhVOqkWLrjjjuYP38+d9xxB6UuXyDx1GlemBXD5RyL0dFEREQMoVInxZafnx9RUVFs3rwZzwqV2HrkLOHL9hkdS0RExBAqdVKstWrVCn+fynzauxEAP6w7wKLYEwanEhERKXoqdWIXOtWrjF9iFInThvP67G3sS9LCxCIiUrKo1IldOHPmDLEr5nA5+Qgnln7J4GnbSb102ehYIiIiRUalTuxCpUqVmDt3Lo6OjlzYvZpdq35heGQsFosWJhYRkZJBpU7sRrt27fjwww8BOPv7dyz7Yz1frz5ocCoREZGioVInduWVV17hkUceAUs2pxeG88nibazen2x0LBERkUKnUid2xWQy8eOPP1K3bl1y0lI4vehjXpoVTfyZi0ZHExERKVQqdWJ3PDw8mDdvHuXLl6duYCfMGTkMnhHNpawco6OJiIgUGpU6sUsNGjTgyJEjLP9mNJXcXdibaGbkgp1YrbpxQkRE7JNKndgtDw8PqnqW5qvHm0JmOnPXxjBt8zGjY4mIiBQKJ6MDiBQ290uJpM95FbPFmdFlytKgmgfN7ipvdCwREZHbSjN1YvfKli2LQ04ml5MPk7xiEs/NiCY5LcPoWCIiIreVSp3YverVqzNnzhwcHBy4sHMVhzf+ytCZf3E5x2J0NBERkdvGpkrdpEmT8PX1xdXVlYCAANavX3/VYzds2ECbNm2oUKECpUuXxs/Pj88//zzPMVOnTsVkMuXbMjI0S1PS3H///XzwwQcAnIv6hg1/buODpXsNTiUiInL72Mx36iIjIwkLC2PSpEm0adOGb7/9lq5du7Jnzx5q1KiR7/gyZcrwwgsv0LBhQ8qUKcOGDRsYPHgwZcqU4dlnn809zsPDg/379+d5r6ura6Gfj9ie119/nc2bN7N48WJOLxjHD55eNKlRlp6N7zQ6moiIyC0zWW1kjYeWLVvStGlTJk+enLuvXr169OrVi/Dw8Bsa4+GHH6ZMmTJMnz4d+GemLiwsjPPnz990LrPZjKenJ6mpqXh4eNz0OGIbzp8/T7NmzTh06BB3NAzmzgfDWPB8G+pV1WcrIiLGu5XeYROXX7OysoiOjiY4ODjP/uDgYDZt2nRDY8TExLBp0ybat2+fZ396ejo+Pj5Ur16d7t27ExMTc81xMjMzMZvNeTaxH2XLlmXevHk89NDDPDDwVTIuWxg8PZrUi5eNjiYiInJLbKLUpaSkkJOTg5eXV579Xl5eJCUlXfO91atXx8XFhWbNmjF06FAGDRqU+5qfnx9Tp05l8eLFzJ49G1dXV9q0aUNcXNxVxwsPD8fT0zN38/b2vrWTE5vTqFEj5s+fxzcD21O9XGniz14kLDIGi8UmJq1FRERuik2Uun+ZTKY8P1ut1nz7/mv9+vVs376db775hgkTJjB79uzc11q1akW/fv1o1KgRQUFBzJ07lzp16vDVV19ddbwRI0aQmpqauyUkJNzaSYnNKlfGmclPNCVj9yqitu7myz+uXvZFRERsnU3cKFGxYkUcHR3zzcolJyfnm737L19fXwDuueceTp06xXvvvcfjjz9+xWMdHBxo3rz5NWfqXFxccHFxKeAZSHG1dMY3nFoyAecqtfn8jvE0rO7J/X7X/mdORETEFtnETJ2zszMBAQFERUXl2R8VFUXr1q1veByr1UpmZuY1X4+NjaVq1ao3nVXsy+OPP0758uXJSorj7KoIwubEcuzMBaNjiYiIFJhNzNQBDB8+nNDQUJo1a0ZgYCARERHEx8czZMgQ4J/LoidOnGDatGkATJw4kRo1auDn5wf8s27dJ598wosvvpg75ujRo2nVqhW1a9fGbDbz5ZdfEhsby8SJE4v+BMUm+fj4MGvWLLp27Up67G+crFaPwdNLs+D5NpR2djQ6noiIyA2zmVIXEhLCmTNnGDNmDImJifj7+7Ns2TJ8fHwASExMJD4+Pvd4i8XCiBEjOHLkCE5OTtSqVYsPP/yQwYMH5x5z/vx5nn32WZKSkvD09KRJkyasW7eOFi1aFPn5ie3q3Lkz7733Hu+++y5nV07kby9f3pzvzoSQxtf9TqeIiIitsJl16myV1qkrGSwWC927d2f58uU4la1K1QGfM/qxFjzVxtfoaCIiUoIU+3XqRIzm4ODAjBkz8PHxISc1iUtHY/lg6V62HT1rdDQREZEbolIn8n/Kly/PvHnzWLZsGX1CepNtsfL8zL9INutZwSIiYvts5jt1IrYgICAAgHZZ2RxISmP/qTSen/kXs55phbOT/g4kIiK2S39KiVyBm7MTI9qWI2Xu2/y5M453F+9GXz8VERFbplInchVj3hjGhSMxpCwKZ9bmQ/yw4YjRkURERK5KpU7kKr7//nvKli1L5sn9nF05mbFL9xC155TRsURERK5IpU7kKmrWrMnMmTNxcHAg/e+VmLcuYNicGHadSDU6moiISD4qdSLX8MADD/DZZ58BcG7NFFJ2bWDQT9tJStUdsSIiYltU6kSu46WXXuL5558Hq5UzSz/l2IFdDJq2jYtZ2UZHExERyaVSJ3IdJpOJL774gi5dutDQ35+Klauw64SZsDmxWCy6I1ZERGyDSp3IDXByciIyMpKN69cy5flOODs6sHLPKcb/ts/oaCIiIoBKncgN8/DwwM3NjWZ3lefjxxpy6Wgs36yJY87WeKOjiYiIqNSJ3IydS6aQHDmKc6t/ZNTCXWw8mGJ0JBERKeFU6kRuQu3atQFI276Ic9FLeW5GNAeT0w1OJSIiJZlKnchNCAkJYezYsQCcW/Utp/ZuZeBP2zh7IcvgZCIiUlKp1IncpLfeeov+/ftjteRwZtF44vbtZfD07WRm5xgdTURESiCVOpGbZDKZiIiIICgoiJzMC6TMH8Ofu48wYt5OrFYtdSIiIkVLpU7kFri4uLBgwQLuvvtuLp8/RcbhrcyPOcHXfxw0OpqIiJQwTkYHECnuKlSowNKlS9m2bRvc3ZaRC3bxadQBfCuVoXvDakbHExGREkKlTuQ2qFOnDnXq1AHg8OkLfL/uIMPn7qBa2dI0rVHO4HQiIlIS6PKryG32dNNyXJo3krM7fufZadtJOHvR6EgiIlICaKZO5DabPu0nTh/ehenYfpw8KjHwJ2d+ea41Hq6ljI4mIiJ2TDN1IrfZ66+/ziOPPII15zJnFo5j974DvDArhuwci9HRRETEjqnUidxmDg4OTJs2jebNm5N90UzKL6NZ/fcRxizZY3Q0ERGxYyp1IoXAzc2NRYsW4e3tTdbZE6QsGMdPGw4ydeMRo6OJiIidUqkTKSRVq1ZlyZIl3HHHHWTE/825NVMZs2QPf+w7ZXQ0ERGxQyp1IoWoYcOGzJkzhwYNGtBnwDNYrPDirBj2JpqNjiYiInbGZNXzjK7JbDbj6elJamoqHh4eRseRYio7OxsLDgz4cSubD5+hmqcrC4e2obKHq9HRRETEhtxK79BMnUgRcHJywtnJgW/6BeCZspMj+3byzLTtXMrKMTqaiIjYCZU6kSK0dtVydk0ZScr894nec5BXfo7FYtFkuYiI3DqVOpEidO+991K/fn2y089yet4Ylmw/zCcr9xsdS0RE7IBKnUgR8vDwYMmSJXh5eZGVfISUxR8x8Y8D/Lw9wehoIiJSzKnUiRQxHx8fFi9ejKurK5cOb+fcH9/z1oKd/Hn4jNHRRESkGFOpEzFAixYtmD59OgBp0b9ydtuvDJ4ezaHT6QYnExGR4uq2lLpz586Rk6O7+EQK4tFHHyU8PBwAj4xTpF66TP8ftnLy/CWDk4mISHF006Xu4MGDfPrpp7Rr147KlStTqVIl+vXrx88//0x6umYbRG7EG2+8wfLly9m2dBY1K5XhxPlLhP6whTPpmUZHExGRYqZApS4hIYG33nqLBg0a0KRJEzZs2MDTTz9NUlISq1evpm7dunz44YdUqlSJrl27Mnny5AKFmTRpEr6+vri6uhIQEMD69euveuyGDRto06YNFSpUoHTp0vj5+fH555/nO27evHnUr18fFxcX6tevz4IFCwqUSaQwmUwmunTpQkV3V6YPbEmVMg7sP3iEJ6dsIy3jstHxRESkGClQqfvrr79ISkoiPDyc06dPs2DBAp588kkqVKhAo0aNePvtt4mOjiYuLo4HHnigQAUqMjKSsLAwRo4cSUxMDEFBQXTt2pX4+PgrHl+mTBleeOEF1q1bx969exk1ahSjRo0iIiIi95jNmzcTEhJCaGgoO3bsIDQ0lN69e7Nly5aCnLZIkSjnbKXUH5+SPPsNYvbEMein7WRc1tcaRETkxtz0Y8LS0tJwd3e/bUFatmxJ06ZN88zu1atXj169euV+7+h6Hn74YcqUKZP7BfSQkBDMZjPLly/PPaZLly6UK1eO2bNn39CYekyYFJWUlBSCgoLYt28fzuWqUqnveLo092NyvwBKOeqeJhGRksCQx4QFBQWRlJR0s2/PIysri+joaIKDg/PsDw4OZtOmTTc0RkxMDJs2baJ9+/a5+zZv3pxvzM6dO19zzMzMTMxmc55NpChUrFiRVatW4evrS9a5RE7PfZsVfx3kjV/+1lMnRETkum661DVr1oyWLVuyb9++PPtjYmJ44IEHCjRWSkoKOTk5eHl55dnv5eV13eJYvXp1XFxcaNasGUOHDmXQoEG5ryUlJRV4zPDwcDw9PXM3b2/vAp2LyK248847WbVqFdWqVSPr9DFOz32XX/6MY8ySPdzkpLqIiJQQN13qvv/+e55++mnatm3Lhg0bOHDgAL1796ZZs2a4uLjc1JgmkynPz1arNd++/1q/fj3bt2/nm2++YcKECfkuqxZ0zBEjRpCampq7JSRopX8pWjVr1iQqKoqKFSuSmRRH8rwx/Lh2H1/8Hmd0NBERsWFOt/Lmd999F2dnZzp16kROTg6dO3dm27ZtNG3atEDjVKxYEUdHx3wzaMnJyflm2v7L19cXgHvuuYdTp07x3nvv8fjjjwNQpUqVAo/p4uJy06VU5HapX78+K1as4L777uPy2WNknz3JhFWueJYuxVNtfI2OJyIiNuimZ+oSExN56aWXeP/996lfvz6lSpWiT58+BS50AM7OzgQEBBAVFZVnf1RUFK1bt77hcaxWK5mZ/399r8DAwHxjrly5skBjihiladOmLFu2jPVrV/Nmvy4AjP51D/P/Om5wMhERsUU3PVNXs2ZN/Pz8+Pnnn+nWrRsrVqygd+/eHD9+nDfeeKPA4w0fPpzQ0FCaNWtGYGAgERERxMfHM2TIEOCfy6InTpxg2rRpAEycOJEaNWrg5+cH/LNu3SeffMKLL76YO+awYcNo164d48ePp2fPnixatIhVq1axYcOGmz1tkSLVpk0bAJparZy/eJmIZX/y6s+xuLuWolP9a89ii4hIyXLTpW7KlCn06dMn9+fOnTuzevVqunfvzrFjx5g0aVKBxgsJCeHMmTOMGTOGxMRE/P39WbZsGT4+PsA/M4P/u2adxWJhxIgRHDlyBCcnJ2rVqsWHH37I4MGDc49p3bo1c+bMYdSoUbz99tvUqlWLyMhIWrZsebOnLWIIk8lExwqpjJsehnPddjzv4MC0p1sSWKuC0dFERMRG3PQ6dVdz9OhRHnjgAfbs2XM7hzWM1qkTWzFr1iz69euH1WrFo9VjeAcPZNYzLWlYvazR0URE5DYpsnXqkpOTSUtLu+Yxd911Fxs3bgTgwIEDBQojIlfXt2/f3MW5zX/+zIk1sxjw41YOJl/730kRESkZClTq1q5dS6VKlejSpQuTJ0/m5MmT+Y7ZsmULH3/8MfXq1bupmyZE5OoGDx7Mxx9/DMD5ddM4tn4+oT9s5fi5iwYnExERoxX48mtCQgKLFi1i4cKFrF+/nkaNGtGjRw9OnDjB4sWLycnJoVu3bvTs2ZPg4GBKly5dWNmLhC6/ii165513eP/99wGo8MDL3HPfg/w8JJCKd2g5HhGR4uxWesctfacuNTWVX3/9laVLl1KtWjV69epFmzZtcHCwn+dUqtSJLbJarQwfPpwJEybgeXcAng+/R4NqnswZ3AoP11JGxxMRkZtkWKkrCVTqxFZZrVYmT55MhwdDeGJqDCnpmTS/qxzTnm5JaWdHo+OJiMhNKLIbJUTEdphMJp5//nnqVq/AtKdbcIeLI5t37Oe5mdFkZVuMjiciIkVMpU7EDtSr6k7AqWWc/HEoK1Zv4JWfd5Bj0SS8iEhJckvPfhUR23D58mWOx+3GmnWJ5J/fZV4pFzxLO/F+T39MJpPR8UREpAhopk7EDjg7O7No0SJatWqFJSOdU5GjmLJsM5+u1FqRIiIlhUqdiJ244447WLZsGY0aNcJy4Tyn5oxiwqJNfLfusNHRRESkCKjUidiRcuXKsXLlSurWrUtO2mlOzRnJmLmbmLstwehoIiJSyFTqROxM5cqViYqKwsfHh5zzSWQk7OTN+X/z265Eo6OJiEghUqkTsUPe3t78/vvvzJo1i6dDn8BihZdmx7IhLsXoaCIiUkh096uInapVqxa1atXiMYuVtMzL/Lr1AIN+3Mjs59rRpEY5o+OJiMhtppk6ETvn6GDi9XZepP0yimNz36f/d5vYc9JsdCwREbnNVOpESoDE4wlknUsk43A0h38Op883G9mRcN7oWCIichup1ImUAIGBgSxcuBBnZ2cu7t/Iocix9P1mPduPnjU6moiI3CYqdSIlRHBwMHPnzv2n2B3YxOFZ79Lvm3VsOqSbJ0RE7IFKnUgJ0rNnT5YuXYqbmxsZR2M4OuMt+k9ezZr9yUZHExGRW6RSJ1LCdOzYkVWrVlG2bFmcs8xkZGTw7LRoVu5OMjqaiIjcApU6kRIoMDCQtWvXsm3jWh4MrE9WjoXnZ/7F0r+1QLGISHGlUidSQjVs2JC6tWvxZZ8mPNTkTlL3rGfw14uZ/9dxo6OJiMhN0OLDIiWck6MDnTyS+OLXjzG53sEL2VlkDunJ4y1qGB1NREQKQDN1IkLzZgE0btQQy8VUkmaN4OUvI/lp01GjY4mISAGo1IkIlSpVYvXq1bRt2xZr5gWS577N619M59u1h4yOJiIiN0ilTkQA8PT0ZMWKFXTt2hXr5UySfxnDqM+/58vf47BarUbHExGR61CpE5Fcbm5uLFy4kN69e4Mlm5TFHxE+bQkfr9ivYiciYuN0o4SI5OHs7MysWbPw8PDgQPIFjlapzaQ1h8i4bOHt7vUwmUxGRxQRkStQqRORfBwdHYmIiMBisTBr23HeXriLH9bFkXE5m7G97sHBQcVORMTWqNSJyBWZTCYcHR0JbeWDozWHQf0f5+vVVci8/B4fPdYYRxU7ERGbolInItdVwRzHpYNbAfh27EUyL4/j88cDKOWor+WKiNgK/RdZRK6rc+fO/PTTTzg4OnJh1yqmvB/Gcz/9SVa2xehoIiLyf1TqROSG9O/fn3m//EKpUs5cPLCJme+/wMAfNpBxOcfoaCIigkqdiBRAr169WLZsKaXd3Mg4GsPP7w+h/+TVXMzKNjqaiEiJp1InIgXSsWNHfl+1CncPT7KSj7D+r908+eM20jNV7EREjKRSJyIFFhgYyIb165j00xwq+vix9ehZQn/YQuqly0ZHExEpsWyq1E2aNAlfX19cXV0JCAhg/fr1Vz12/vz5dOrUiUqVKuHh4UFgYCArVqzIc8zUqVMxmUz5toyMjMI+FRG717BhQ4Y83pNZz7SirFsp/ty6nZ4fzOXchSyjo4mIlEg2U+oiIyMJCwtj5MiRxMTEEBQURNeuXYmPj7/i8evWraNTp04sW7aM6Oho7rvvPnr06EFMTEye4zw8PEhMTMyzubq6FsUpiZQI91T35IN7y3P653dY//lQHnhnGqfTMo2OJSJS4pisNvJAx5YtW9K0aVMmT56cu69evXr06tWL8PDwGxqjQYMGhISE8M477wD/zNSFhYVx/vz5m85lNpvx9PQkNTUVDw+Pmx5HxJ6dPn2a+zoGs/vvWEwuZWg8KJxlHzxDFU/9BUpEpCBupXfYxExdVlYW0dHRBAcH59kfHBzMpk2bbmgMi8VCWloa5cuXz7M/PT0dHx8fqlevTvfu3fPN5InIratUqRIb162hRavWWDMvEPvta3Qa/iVHUi4YHU1EpMSwiVKXkpJCTk4OXl5eefZ7eXmRlJR0Q2N8+umnXLhwgd69e+fu8/PzY+rUqSxevJjZs2fj6upKmzZtiIuLu+o4mZmZmM3mPJuIXJ+npyerf4/ivo7BWLMz2TV1JO0Gvs2fh88YHU1EpESwiVL3L5Mp77MkrVZrvn1XMnv2bN577z0iIyOpXLly7v5WrVrRr18/GjVqRFBQEHPnzqVOnTp89dVXVx0rPDwcT0/P3M3b2/vmT0ikhHFzc+O3pb/S65HHwJLN8cWf02v4eH7enmB0NBERu2cTpa5ixYo4Ojrmm5VLTk7ON3v3X5GRkQwcOJC5c+fSsWPHax7r4OBA8+bNrzlTN2LECFJTU3O3hAT9YSRSEM7OzsybO4dRb7+DVy1/XO4O5LVf/uaj3/ZhsdjEV3hFROySTZQ6Z2dnAgICiIqKyrM/KiqK1q1bX/V9s2fP5sknn2TWrFl069btur/HarUSGxtL1apVr3qMi4sLHh4eeTYRKRgHBwfeHzOao7u281JwfQAmro5jwFfLuJSlx4qJiBQGJ6MD/Gv48OGEhobSrFkzAgMDiYiIID4+niFDhgD/zKCdOHGCadOmAf8Uuv79+/PFF1/QqlWr3Fm+0qVL4+npCcDo0aNp1aoVtWvXxmw28+WXXxIbG8vEiRONOUmREsbV1YVXguviW7EMg158lVnRSzh4YAyLwp+nsofujBURuZ1sptSFhIRw5swZxowZQ2JiIv7+/ixbtgwfHx8AEhMT86xZ9+2335Kdnc3QoUMZOnRo7v4BAwYwdepUAM6fP8+zzz5LUlISnp6eNGnShHXr1tGiRYsiPTeRkq67f2W8M49wLvMCf05+jZbHDrHk23E0uNPT6GgiInbDZtaps1Vap07k9sjMzKTfk4P4Zc4MAMo27sycn76jc0PdjCQi8q9iv06diNg/FxcX5s6axtjwjzCZHDgfu4Ke3bow4ddt6O+WIiK3TqVORIqMyWRi5JuvsWjxYpzd7iDz+B5ee/JhRs6LJTvHYnQ8EZFiTaVORIpcj+7diN2+lcrV76JsmxBmbT/J0z9tx5xx2ehoIiLFlkqdiBiiXr16HIvby4zwVyldypF1B07TPXwx8Wf0aDERkZuhUicihnF1daVzgyr8PCSQcqYLbPp8CI3v687GfSeMjiYiUuyo1ImI4fzv9GTYPSYsF85xbucaOtx3L1NWRhsdS0SkWFGpExGb8GTfx1i+IgpX97JkJh3kmYc78fJXv+jOWBGRG6RSJyI2o3PH+9gZE42XT21yLpxjwst96frCB2Rc1qPFRESuR6VORGzK3bVqErczmoB2wZBzmRWT3iZo0HucSc80OpqIiE1TqRMRm+Pu7s7W1csJfS4Ml4o1OFX+HnpN2kjcqTSjo4mI2CyVOhGxSQ4ODkyb9Dnbtm3lrqqVSDh7iYcmbeTXP/caHU1ExCap1ImITbvnLi8WDm1DM59ynNwwn173tWTkpNlGxxIRsTkqdSJi88qXceanpwJwTdiCJSONcS+G0uP5d8ix6M5YEZF/qdSJSLFQxtWFg7GbCbi/B1hyWDL5ffw7Pcb59EtGRxMRsQkqdSJSbLi5ubFt1SL6vzQCMLHvj3nUatKGP3cdNDqaiIjhVOpEpFgxmUz89MU4Pvt+Bg7OpTl7MIag1q2YuSFOCxWLSImmUicixdLLA/uyev1GylavjXuzXoxccoBhc2IxZ1w2OpqIiCFMVv3V9prMZjOenp6kpqbi4eFhdBwR+Y+LlzL4YVM8E34/SI7FSvnMk7zVzZ9HOwYaHU1EpMBupXdopk5EijW30q682KEOcwcHUrUM7Jw2mt5d7+PxV8aSnWMxOp6ISJFRqRMRuxDgU45ZTzWl6p3eWLMzmfPZ2/g278DeoyeNjiYiUiRU6kTEbvhWr8qRmA30e2kkODhxPGYNjRo14tOfFhgdTUSk0KnUiYhdcXR0ZPoXY1m44g/KVKrOZXMKrz75CEG9B5N+KdPoeCIihUalTkTsUs+OQRw7sIumHR8CrGzfto2HJ23mwKk0o6OJiBQK3f16Hbr7VaT4G/3FD8w/WYZUkzsuTg6M7FqX0Na+mEwmo6OJiOShu19FRK7h3WEDWTXqIdrXqURmtoWhQ5+nbrseJJw6Y3Q0EZHbRqVOREqESu4uTHmyOQP9nUn/O4q4DUup06ARUxauMjqaiMhtoVInIiWGg4OJt/t1YuovS3ApW5mMMyd4+pEu9HjmdbIuZxsdT0TklqjUiUiJM+Dhrhzcu4s6rTqCJYcl33+Md8NAtu85ZHQ0EZGbplInIiVS9SqV2LdpJS+88zEmJxeS922nbfv7WRx73OhoIiI3RaVOREosk8nEV6Nf5ff1m/GsXhuP9gN4ac4OXv9lBxezdDlWRIoXlToRKfHua9WEU4d288azT2Aywdztx2n94gQWrd5idDQRkRumUiciArg4l+KV4LrMGtSKchYzO6eN5qHg9vR/7QMsFovR8URErkulTkTkfwTWqsCcIW2perc/1uxMpn8yCt/mHYiLTzQ6mojINanUiYj8R92a3hyL3cDjL40CByfi/1pDA/97ePPT79FDeETEVqnUiYhcgaOjI7O+eJ95y//ArZI3l9POMP7VZ/Bpdj+HTpmNjiciko9KnYjINTwcHMTJQ3vp/MRz4ODIeZM7Xb/ayNd/xJGVre/aiYjtsKlSN2nSJHx9fXF1dSUgIID169df9dj58+fTqVMnKlWqhIeHB4GBgaxYsSLfcfPmzaN+/fq4uLhQv359FixYUJinICJ2yNO9DL/NmMRvazbR9ckwsrItfLLyAPe9M5uZy9YZHU9EBLChUhcZGUlYWBgjR44kJiaGoKAgunbtSnx8/BWPX7duHZ06dWLZsmVER0dz33330aNHD2JiYnKP2bx5MyEhIYSGhrJjxw5CQ0Pp3bs3W7ZomQIRKbjOQS2YM/Q+vujTmAplShE940P6db+PVr2e4mTKeaPjiUgJZ7LayLd+W7ZsSdOmTZk8eXLuvnr16tGrVy/Cw8NvaIwGDRoQEhLCO++8A0BISAhms5nly5fnHtOlSxfKlSvH7Nmzb2hMs9mMp6cnqampeHh4FOCMRMSenTh9jo49+7Bv80oAnMtVYcTYT3j3ub6YTCaD04lIcXUrvcMmZuqysrKIjo4mODg4z/7g4GA2bdp0Q2NYLBbS0tIoX7587r7NmzfnG7Nz5843PKaIyNXcWakcezet4NPvZuJStjJZ55IYPbQfNVt1Yfvew0bHE5ESyCZKXUpKCjk5OXh5eeXZ7+XlRVJS0g2N8emnn3LhwgV69+6duy8pKanAY2ZmZmI2m/NsIiJXM3xQX04eieO+R54EkwNHt66kZdNGjPhusW6kEJEiZROl7l//vWRhtVpv6DLG7Nmzee+994iMjKRy5cq3NGZ4eDienp65m7e3dwHOQERKovJlPfjjlyksjlpLuRp1cLyjArMOWOn25Xq2HT1rdDwRKSFsotRVrFgRR0fHfDNoycnJ+Wba/isyMpKBAwcyd+5cOnbsmOe1KlWqFHjMESNGkJqamrslJCQU8GxEpKTq0aEtpw7uYtL0n6no4UZccjqPTlxHp4FvkHwu3eh4ImLnbKLUOTs7ExAQQFRUVJ79UVFRtG7d+qrvmz17Nk8++SSzZs2iW7du+V4PDAzMN+bKlSuvOaaLiwseHh55NhGRG1WqVCkGdWnO76+0p09zb8xb5rPqx4/wqVOfcT/M0xMpRKTQ2ESpAxg+fDjff/89P/74I3v37uXll18mPj6eIUOGAP/MoPXv3z/3+NmzZ9O/f38+/fRTWrVqRVJSEklJSaSmpuYeM2zYMFauXMn48ePZt28f48ePZ9WqVYSFhRX16YlICVPWzZkPH2nI6yH34+xejoyUBEYOepQ67Xvx96HjRscTEXtktSETJ060+vj4WJ2dna1Nmza1rl27Nve1AQMGWNu3b5/7c/v27a1Avm3AgAF5xvz555+tdevWtZYqVcrq5+dnnTdvXoEypaamWgFramrqrZyaiJRgSckp1jbdQnL/O+VYpqz1yVGfWzOyso2OJiI25lZ6h82sU2ertE6diNwuPy+JYtCzz2JOPAqAb6dQ5kZMoNld5a/9RhEpMYr9OnUiIiXBY907cerwXh5/7lUcXcuQeVdbHv1mMyPm7yT14mWj44lIMadSJyJShFxdXZk16WMOHzlKaOdWAMzeGo//Iy/wycylupFCRG6aSp2IiAFqVKnIh480JPLZVlS8eIzjv33Ha6EP4tehNxt3HTE6nogUQyp1IiIGalmzAgvefIhmHXqA1cKB1b8Q1Myfdk+EcThJCxeLyI1TqRMRMZh3tapsW7WIWfOXUtGnLtbMi6yf9QV16/rx+GvjMV/KMjqiiBQDKnUiIjbi8Yce4NThPYz5fDKly3mRbT7N3EnhtP9gGTP+PEZ2jp4lKyJXpyVNrkNLmoiIES5evMiLo8ax8cRlMnzbAVCzohv9/ErxVLc2N/RcbBEpfrSkiYiInXFzc+OHz8ayc1Y4ox9sQDm3UuzcsJKBPdpRs013orbtMTqiiNgYlToRERtWytGBAa3vYu3r91HP8RRg5ejmZXRu3ZQWDw1k77EkoyOKiI1QqRMRKQY8XEuxbt6PLI5aQ7W6TbBmZ7Jt4Y/cU9+PB59/mxTzRaMjiojBVOpERIqRHh3bc3xvNF/8MBN3rxrkXEzl18ljuTuwM1M2HiErWzdTiJRUKnUiIsWMyWTipaf7khIfx7B3PsT5jnK43NOF0b/uIfjztSz7+6SeTCFSAunu1+vQ3a8iYuvMaeks2XOWz6IOkJKeSeqmSNzSE5j4+cf0at/M6HgiUgC6+1VEpATzcL+Dvi1rsOa1exncuhrmbQs4GbOGh+5vRcPOfYg5cMzoiCJSBFTqRETsxB0uTox4sAm//7GGmk3agiWHnSsjadawPp0GvEzimVSjI4pIIVKpExGxM/cGBnDor/X8OHcx5WvUxZJ5kVXTJuBT825e/WIWmdk5RkcUkUKgUiciYqeeeqwHp4/sYeRHE3Et58Xl9PPM3nOBDp+uZUHMcT12TMTO6EaJ69CNEiJiDy5cvMSHUxey8nwlTpkzAbBsncWjwUGEvzIIl1JOBicUEbi13qFSdx0qdSJiTy5mZTNl41G+nreafROfBaB0pRr0HzKMT0Y8zx2lXQ1OKFKy6e5XERG5IW7OTgy9725WjuxJ9wEv4uh6B5dOx/Pt+69Q4U5f+r86lnPmC0bHFJGboFInIlICeVetzK9Tv+Tk8XgeHfI6TmXKknUuiemfvo1X9RqM/G4RFzKzjY4pIgWgUiciUoJVrlCOnyePJ/lkPP2Hv4ezZyVysrOZvjebtuP/4Os/4ki9lGV0TBG5ASp1IiJCOQ93fvr0Xc4mxvPh93OpVa0C5y5e5uMV+6hWtwkd+jxL3NHjRscUkWtQqRMRkVxlSrvyWt/OrBreni/6NKbCuX1cTNjDH5HfUbf23bTp2Z+/9x8yOqaIXIFKnYiI5OPoYKJn4zvZOmk4b3/xI541/LBmZ7Jp8XQa1fcjoPOj/Bmz2+iYIvI/VOpEROSqnJwcGfPSU5w9spvx30dS4e7GYMnmr5XzCAxoyDOf/8LxcxeNjikiqNSJiMgNcHBw4PWBvTl94C++nvUrVRq0wrmyLyuTXLn34zW88cvfRO87YnRMkRJNpU5ERG6YyWRi6OPdOblzE8uj/qDN3RXJtliZvXE/LZo0xKdhIDMX/obWtRcpeip1IiJSYCaTifvvqcGsZ1ox77lA6lgTsGReJH7nn/R7qCvV/JoQMXOeyp1IEVKpExGRWxLgU55VE4azdMNf1LvvEXB0IunADgb3e5Ty3rV5ZfTHpKWlGx1TxO6p1ImIyG3xQOtG7PnjF9Zs20Wjrk9gKuXC+ROH+Gz0m3Qev5Rpm4+SrqdUiBQak1Vz49d0Kw/WFREpyXYcOsEb4V+xbdd+3O8dBIC7ixMV4xbzRLd7earPwzg6OhqcUsS23ErvUKm7DpU6EZFbk56Zzfy/jjN101H2xx3i5LfPAFbuqFiVvk8OYuzrL1GpUkWjY4rYhFvpHbr8KiIiheoOFyf6B97Fqpfb83VoS/y79sPB1Z30lEQiPnmfKtWqEdTtUdZu/NPoqCLFmkqdiIgUCQcHEw+18WfnsmnsPnCYXi+NxbXq3ViyL7Nh2TzubRvIY298xuHTuqlC5Gbo8ut16PKriEjhScu4zCfTl/DtN5M4vW87dw7+HgdnV9rXqURL97N0a1EfH58aRscUKTK6/CoiIsWSu2spRj/zEInbV7Jiy990algDkwnW7E8m7Pkh3OXrS0D7ziz5baXWvBO5DpsqdZMmTcLX1xdXV1cCAgJYv379VY9NTEykb9++1K1bFwcHB8LCwvIdM3XqVEwmU74tIyOjEM9CREQKymQy0dHfmx+ebM6aV+/liSYVcL6jLFgt/LVuJT26dqZyjbt578PPSEtLMzquiE2ymVIXGRlJWFgYI0eOJCYmhqCgILp27Up8fPwVj8/MzKRSpUqMHDmSRo0aXXVcDw8PEhMT82yurq6FdRoiInKLfCqUYVyfQE7t2864mSu5s3UvTKVcSTl+mNEjXqFC5Sq8MuZTLBbN3In8L5spdZ999hkDBw5k0KBB1KtXjwkTJuDt7c3kyZOvePxdd93FF198Qf/+/fH09LzquCaTiSpVquTZRETE9pVxcWJE304kbJjP8i17COz3Gk7lq3M54yIzdl/k/k/X8MOGI5xMOUd2thY1FrGJUpeVlUV0dDTBwcF59gcHB7Np06ZbGjs9PR0fHx+qV69O9+7diYmJuebxmZmZmM3mPJuIiBjHZDLRuYkvm6Z/xMH9+xgYPpVKfs04euYi7y/ZQ8OegylbqQpPDBrKjh07jI4rYhibKHUpKSnk5OTg5eWVZ7+XlxdJSUk3Pa6fnx9Tp05l8eLFzJ49G1dXV9q0aUNcXNxV3xMeHo6np2fu5u3tfdO/X0REbi+fimX4/s0BbB3ZiQ8e8ufuSmUw79/ChfNnmPXDJBo3bkz1u+vx3riPOHXqlNFxRYqUTZS6f5lMpjw/W63WfPsKolWrVvTr149GjRoRFBTE3LlzqVOnDl999dVV3zNixAhSU1Nzt4SEhJv+/SIiUjjcnJ14oqUPUcPb88fGLfR8fQLufm3A0YkTh/YxeuQbVK12J/c/+BiXsnKMjitSJGyi1FWsWBFHR8d8s3LJycn5Zu9uhYODA82bN7/mTJ2LiwseHh55NhERsU0mk4m2dauwcPwwEmPX8OPKvwjo+yrO1epiteSw/WQmzT9YxRu//M2Wwyn8+eefWhpF7JZNlDpnZ2cCAgKIiorKsz8qKorWrVvftt9jtVqJjY2latWqt21MERGxDWVcnHjq/nvYPvNjDu78ixE/Lqdup8dJz8wmcnsCPUd9R2BgIF7evrw28h2OHj1qdGSR28omSh3A8OHD+f777/nxxx/Zu3cvL7/8MvHx8QwZMgT457Jo//7987wnNjaW2NhY0tPTOX36NLGxsezZsyf39dGjR7NixQoOHz5MbGwsAwcOJDY2NndMERGxT97l3Rj3VBe2fNCHyGdb8VhAdRzSkjGVcuX0iWN8Mu59fH198W8WyDfffa+b4sQu2NRjwiZNmsRHH31EYmIi/v7+fP7557Rr1w6AJ598kqNHj7JmzZrc46/0fTsfH5/cv329/PLLzJ8/n6SkJDw9PWnSpAnvvfcegYGBN5xJjwkTEbEPFzKzWbD1EF//OJMdqxeRcWwn8M8fgU7Orsxevo5H7mt2S9/lFrlVt9I7bKrU2SKVOhER+5Nw9iI//LaNqdOmcWLbCrBYqPZsBHdVLMMjTatT+mQ0bQIaUr9+faOjSgmjUleIVOpEROyXxWJl65EzTPtjB2sSLnMxKwdr9mWOf90PS+YFatVvyHODnmJAaD8qVqxodFwpAVTqCpFKnYhIyXAhM5vfdiUx/Y8YVn43jkuHtoHln+VQHBydaHtfJwY/FUqPHt1xd3c3OK3YK5W6QqRSJyJS8iScvcj01Tv5YdoMjm/9jaykg7mvte/zHB+NG0uATzkcHfT9O7m9VOoKkUqdiEjJZbVa2Xb0HN8sXM2v837m/J71VHroLZwr3UUldxd80/eQsGkRTz4RwiMPP6xLtHLLVOoKkUqdiIgAZFzOYf2B0yzblciqvcmkZWRzevHHXNy7FgCTgyNNWrTmySdCePSRh7UmqtwUlbpCpFInIiL/lZVtYeOhFGau+JOlixdwdtd6sk4d+v8HmEzc07QF6/5YRVmPO4wLKsWOSl0hUqkTEZFruZxjYcvhs8xctY1fFy7g9M51ZCXup1TlmtR9bhKd6nnR9Z6qnNm1nhbNmlKzZk2jI4sNU6krRCp1IiJyo3IsVrYeOcuc1TGsjN7HJU9fACxZlzj+1RNYs7OoVc+ffn1683hIb+rWrWtwYrE1KnWFSKVORERuhsViJTr+HMt3JrFgbTT7fvmEjPhdYLXkHlOjVl36hjzGUwNCqVOnjoFpxVao1BUilToREblVFouVHcfP88vGvcydN5/jf60h49gOsGQD0PLxMN587VXur1eZ0o7g5OSkx5WVUCp1hUilTkREbier1cquE2Z+2byPyHkLiY9eTfmOz+Lk6YWzowOVT25g95Lv6dy5C4899CAdO3bE09PT6NhSRFTqCpFKnYiIFBar1cq+pDSW70xk6c5EDp2+wOlF47m4b33uMQ6OTjRq1pLHHnqQnj26U69ePc3i2TGVukKkUiciIkUl7lQaS2KOMX/ZKv7evIaLh7eTffZE7usmkwPfroihe4vaVPUsjdVqVcGzMyp1hUilTkREjHD+Yhbr41JYsDaaVSt/4/SeLWDJwavPWAD8qrhz6Kc3KX+HKyEPP0iP7t2oXbu2wanlVqnUFSKVOhERMZrFYmX3STN/7DvF2gOniUk4T/aldI5/2TfP3bRVvO+i2wMP8NhDD9K+fXtcXV0NTC03Q6WuEKnUiYiIrTl3IYu1B5JZuHobq1b+xpl9W8hI2J17Ny3APUFd+G7qDJr6lKOUo4OBaaUgVOoKkUqdiIjYMovFys4TqSyPOcyCJSvYs3Utlw5tx7NtX9wbdcbd1YmG7pdYO/E1HuzWjUcfepC2bdvi7OxsdHS5ApW6QqRSJyIixcmZ9EzWHTjN73tOsvHwec5dvIx5+2LO/R6Re4xzaTcCg+7loW5dCe7UAT8/P91wYSNU6gqRSp2IiBRXORYrfx8/z7LoQyxcspy9W9dx6ch2LBfO5zlu6PgfebpPLxre6YklJ5tSpUqp5BlEpa4QqdSJiIi9SEnPZM2+U/yyYj1r/4ji/KFYMhMPUP35n3BwcaOMsyMO0bM5Gf07Qe3v5aFuwXTs0IE777zT6OglhkpdIVKpExERe2SxWDmQnMb6/Ulsjzfz5+GzpF66TNL0V8k8uS/PsV41atK+/b083K0zjzzyME5OTgaltn8qdYVIpU5EREoCi8XK3iQza3Yl8OvK1URvXo/5cCxZpw7lLpvi6ObJgK9X0rp2JVrVLM+lkwe5++5alC1b1tjwdkSlrhCp1ImISEmUY7GyN9HM77FH+HXl78Rs2UA2TpS790ngn0ecnZw8gJz089zl50+HDvfzSLcuBAW1pUyZMsaGL8ZU6gqRSp2IiAhk51jYfdLM5sNn2HzoDJt3H+bIlFfIPncyz3EOjk7c7d+E/v3789bLQ3XDRQGp1BUilToREZH8LudY/lkf789dLFuxit3bN5N+JJactNMAeDR/iNoPPkdL3wrUr1SK6EU/0iP4PtoHtaV8+fIGp7ddKnWFSKVORETk+rKyLfx9/By/bojlt5WrSCpVDVOlmgBcOhpLcuSo3GMredckoEUrunZoT5cO91K7dm3N6P0flbpCpFInIiJScJnZOexISGXrkTNErd/ChkUzMB/bTfbZ4/mOvX/QSAY8PYimNcpRw8MRF+dSuLi4GJDaeCp1hUilTkRE5NZZrVYOp1xgzY5DLP99LdFb/iQxbgeZiQeoGvoZzl7/zOpl7lpB8opvqVHHn5aBgTwYfB/B97enYsWKBp9B0VCpK0QqdSIiIoXDnHGZrQdP8ffJdGISUomNP8/RX78kPWZZvmPLVbuLRgEtGD16DG0b1cHBwT4v16rUFSKVOhERkaJhsViJS05j6YYYolavZUf0VlIO/s3lMwm5x3gPm4Nn2bI09i6L5cA63HPMPNS1A+3btMLV1dXA9LeHSl0hUqkTERExzrkLWaz9+zCLo9YQs3MPmfUe4GJWDgBJM98g8/huAEyOTlT2qUP9hk0Iat2SHh2CCGjSqNjdgKFSV4hU6kRERGxHdo6F/afS+OvYOaZ89y1/b9vAucO7sFw8n+c4BzdPOn2wmIbVPbmnelmyj++mpX8t6tWtY9NFT6WuEKnUiYiI2LZkcwZRW3eycu0m/oreztF9O7G4eFCp5xu5xxyf2J+c9LOUcnPnztoNaNQ4gPvatqJHx3b4+njbTNFTqStEKnUiIiLFi9VqJcmcwc7jqew8kUr0oSQWjRvCxcRDkHM53/FeDQIZNPZb7rnTk3vuLEsll2wqVTBmgeRb6R1OhZRJRERExBAmk4mqnqWp6lma4AZVgLpYh+zhSHIqS9dsYfXGP/k7JpoTcbvISD7GRdeKzPgzHgBL1iUSJoTgVt6Lu/wa0jSgGcHt2/Bgx7Z4ergbe2LXoZm669BMnYiIiH2yWq0cOH6G7YeTiL/gyN/HU9m6dSuHfxh2haNNuFf1YcDbX/Hm4x24s2zpQsl0K73DoVAS3aRJkybh6+uLq6srAQEBrF+//qrHJiYm0rdvX+rWrYuDgwNhYWFXPG7evHnUr18fFxcX6tevz4IFCwopvYiIiBQnJpOJut4VeaK9PyMeqMfsZ1sRF/EiMXEJjJ48m479w7izcXucPCoCVtISj7HowCVsdT7MZkpdZGQkYWFhjBw5kpiYGIKCgujatSvx8fFXPD4zM5NKlSoxcuRIGjVqdMVjNm/eTEhICKGhoezYsYPQ0FB69+7Nli1bCvNUREREpJhycDDR+O7qvDOkD1E/fc7xmDVknEtm08443p08i+eC/Qttlu5W2czl15YtW9K0aVMmT56cu69evXr06tWL8PDwa7733nvvpXHjxkyYMCHP/pCQEMxmM8uXL8/d16VLF8qVK8fs2bNvKJcuv4qIiEhRKfaXX7OysoiOjiY4ODjP/uDgYDZt2nTT427evDnfmJ07d77mmJmZmZjN5jybiIiIiK2ziVKXkpJCTk4OXl5eefZ7eXmRlJR00+MmJSUVeMzw8HA8PT1zN29v75v+/SIiIiJFxSZK3b/+u/Cf1Wq95cUACzrmiBEjSE1Nzd0SEhKueqyIiIiIrbCJdeoqVqyIo6Njvhm05OTkfDNtBVGlSpUCj+ni4oKLi8tN/04RERERI9jETJ2zszMBAQFERUXl2R8VFUXr1q1vetzAwMB8Y65cufKWxhQRERGxRTYxUwcwfPhwQkNDadasGYGBgURERBAfH8+QIUOAfy6LnjhxgmnTpuW+JzY2FoD09HROnz5NbGwszs7O1K9fH4Bhw4bRrl07xo8fT8+ePVm0aBGrVq1iw4YNRX5+IiIiIoXJZkpdSEgIZ86cYcyYMSQmJuLv78+yZcvw8fEB/lls+L9r1jVp0iT3f0dHRzNr1ix8fHw4evQoAK1bt2bOnDmMGjWKt99+m1q1ahEZGUnLli2L7LxEREREioLNrFNnq7ROnYiIiBSVYr9OnYiIiIjcGpU6ERERETugUiciIiJiB1TqREREROyASp2IiIiIHVCpExEREbEDKnUiIiIidsBmFh+2Vf8u42c2mw1OIiIiIvbu375xM8sIq9RdR1paGgDe3t4GJxEREZGSIi0tDU9PzwK9R0+UuA6LxcLJkydxd3fHZDLd8nhmsxlvb28SEhL0hAobo8/GtunzsW36fGyXPhvb9t/Px2q1kpaWRrVq1XBwKNi35DRTdx0ODg5Ur179to/r4eGhf7lslD4b26bPx7bp87Fd+mxs2/9+PgWdofuXbpQQERERsQMqdSIiIiJ2QKWuiLm4uPDuu+/i4uJidBT5D302tk2fj23T52O79NnYttv5+ehGCRERERE7oJk6ERERETugUiciIiJiB1TqREREROyASl0RmjRpEr6+vri6uhIQEMD69euNjiRAeHg4zZs3x93dncqVK9OrVy/2799vdCy5gvDwcEwmE2FhYUZHkf9z4sQJ+vXrR4UKFXBzc6Nx48ZER0cbHUuA7OxsRo0aha+vL6VLl6ZmzZqMGTMGi8VidLQSZ926dfTo0YNq1aphMplYuHBhntetVivvvfce1apVo3Tp0tx7773s3r27wL9Hpa6IREZGEhYWxsiRI4mJiSEoKIiuXbsSHx9vdLQSb+3atQwdOpQ///yTqKgosrOzCQ4O5sKFC0ZHk/+xbds2IiIiaNiwodFR5P+cO3eONm3aUKpUKZYvX86ePXv49NNPKVu2rNHRBBg/fjzffPMNX3/9NXv37uWjjz7i448/5quvvjI6Wolz4cIFGjVqxNdff33F1z/66CM+++wzvv76a7Zt20aVKlXo1KlT7qNKb5Tufi0iLVu2pGnTpkyePDl3X7169ejVqxfh4eEGJpP/On36NJUrV2bt2rW0a9fO6DgCpKen07RpUyZNmsTYsWNp3LgxEyZMMDpWiffmm2+yceNGXXWwUd27d8fLy4sffvghd98jjzyCm5sb06dPNzBZyWYymViwYAG9evUC/pmlq1atGmFhYbzxxhsAZGZm4uXlxfjx4xk8ePANj62ZuiKQlZVFdHQ0wcHBefYHBwezadMmg1LJ1aSmpgJQvnx5g5PIv4YOHUq3bt3o2LGj0VHkfyxevJhmzZrx2GOPUblyZZo0acJ3331ndCz5P23btuX333/nwIEDAOzYsYMNGzbwwAMPGJxM/teRI0dISkrK0xFcXFxo3759gTuCnv1aBFJSUsjJycHLyyvPfi8vL5KSkgxKJVditVoZPnw4bdu2xd/f3+g4AsyZM4e//vqLbdu2GR1F/uPw4cNMnjyZ4cOH89Zbb7F161ZeeuklXFxc6N+/v9HxSrw33niD1NRU/Pz8cHR0JCcnhw8++IDHH3/c6GjyP/7tAVfqCMeOHSvQWCp1RchkMuX52Wq15tsnxnrhhRf4+++/2bBhg9FRBEhISGDYsGGsXLkSV1dXo+PIf1gsFpo1a8a4ceMAaNKkCbt372by5MkqdTYgMjKSGTNmMGvWLBo0aEBsbCxhYWFUq1aNAQMGGB1P/uN2dASVuiJQsWJFHB0d883KJScn52vmYpwXX3yRxYsXs27dOqpXr250HAGio6NJTk4mICAgd19OTg7r1q3j66+/JjMzE0dHRwMTlmxVq1alfv36efbVq1ePefPmGZRI/tdrr73Gm2++SZ8+fQC45557OHbsGOHh4Sp1NqRKlSrAPzN2VatWzd1/Mx1B36krAs7OzgQEBBAVFZVnf1RUFK1btzYolfzLarXywgsvMH/+fP744w98fX2NjiT/p0OHDuzcuZPY2NjcrVmzZjzxxBPExsaq0BmsTZs2+Zb/OXDgAD4+PgYlkv918eJFHBzy/jHv6OioJU1sjK+vL1WqVMnTEbKysli7dm2BO4Jm6orI8OHDCQ0NpVmzZgQGBhIREUF8fDxDhgwxOlqJN3ToUGbNmsWiRYtwd3fPnVH19PSkdOnSBqcr2dzd3fN9t7FMmTJUqFBB33m0AS+//DKtW7dm3Lhx9O7dm61btxIREUFERITR0QTo0aMHH3zwATVq1KBBgwbExMTw2Wef8fTTTxsdrcRJT0/n4MGDuT8fOXKE2NhYypcvT40aNQgLC2PcuHHUrl2b2rVrM27cONzc3Ojbt2/BfpFViszEiROtPj4+VmdnZ2vTpk2ta9euNTqSWK1W4IrblClTjI4mV9C+fXvrsGHDjI4h/+fXX3+1+vv7W11cXKx+fn7WiIgIoyPJ/zGbzdZhw4ZZa9SoYXV1dbXWrFnTOnLkSGtmZqbR0Uqc1atXX/HPmQEDBli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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate coefficients\n", "derivs = xtrap.beta.factory_derivatives()\n", "\n", "# Create the recursive model\n", "intPpiecewise = recursive_interp.RecursiveInterp(\n", " xtrap.InterpModel, derivs, [betas[0], betas[-1]], max_order=1, tol=0.003\n", ")\n", "\n", "# Train it recursively until error tolerance reached\n", "# Turn off verbose or doPlot if don't want to see progress of algorithm\n", "# plotCompareFunc provides the true values to compare to in the figure\n", "intPpiecewise.recursive_train(\n", " betas[0], betas[-1], verbose=True, do_plot=True, plot_func=idealgas.x_ave\n", ")\n", "\n", "# Obtain predictions from our model, which will be based on piecewise interpolating polynomials\n", "intPpredict = intPpiecewise.predict(betas)\n", "\n", "# Plot to compare against true average versus beta for ideal gas model\n", "plt.ion()\n", "interpFig, interpAx = plt.subplots()\n", "\n", "interpAx.plot(betas, intPpredict)\n", "interpAx.plot(betas, idealgas.x_ave(betas), \"k--\", zorder=3)\n", "\n", "interpAx.set_ylabel(r\"$\\langle x \\rangle$\")\n", "interpAx.set_xlabel(r\"$\\beta$\")\n", "\n", "interpFig.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "11", "metadata": {}, "source": [ "The above cell runs an automated algorithm for performing interpolation recursively. In the above example, polynomial interpolation is used. This is recommended, but the algorithm may also use weighted extrapolation or MBAR. In the figure, the true observable is shown as the dashed black line. The blue line is final result of the recursive algorithm. Note that there is no bootstrap method for {class}`RecursiveInterp` since the algorithm guarantees the uncertainty to be within the tolerance.\n", "\n", "A sketch of the recursive algorithm is as follows:\n", "\n", "1. Perform interpolation between edge points\n", " * Only uses up to maximum desired order of derivative information. In the simple ideal gas model, it requires prohibitive amounts of sampling to get good accuracy of derivatives above order 2. If using polynomial interpolation, second derivatives will give us order 5 polynomials. In practice, this probably is not necessary, so settling for the much more accurate third order interpolating polynomials, which only make use of 1st derivatives.\n", " * Needs input data at each edge point or must modify the {meth}`RecursiveInterp.get_data` method in the RecursiveInterp class to read in data or perform simulations. As a default, this class just uses the toy ideal gas model to generate data.\n", " \n", " \n", "2. Calculate bootstrapped uncertainty over whole interval\n", " * The region between the edge points is gridded up with the interpolation model used to predict the value at each point. This procedure is bootstrapped by resampling the data to get the standard deviation of each predicted value at each grid point. The absolute relative error is defined as $\\frac{\\sigma_x}{|x|}$. The maximum relative error over all grid points and observable elements (if the observable is a vector) is found and compared to the desired tolerance. \n", " \n", " \n", "3. Check if maximum uncertainty is within tolerance\n", " * If the maximum absolute relative error within the region is lower than the tolerance, then no new simulations are needed. If it is larger than the tolerance, a new state-point is selected where the absolute relative error is a maximum.\n", " \n", " \n", "4. Add state point if necessary and recurse\n", " * If the tolerance is not met, a state point is added as described above. The algorithm returns to step one for each subinterval created, with new data only generated at the new point.\n" ] }, { "cell_type": "markdown", "id": "12", "metadata": {}, "source": [ "Though the algorithm has met the specified tolerance, you may still want to manually add more points. This is easy with the {meth}`RecursiveInterp.sequential_train` method." ] }, { "cell_type": "code", "execution_count": 9, "id": "13", "metadata": {}, "outputs": [], "source": [ "intPpiecewise.sequential_train([2.5, 7.5], verbose=True)" ] }, { "cell_type": "markdown", "id": "14", "metadata": {}, "source": [ "It is a good idea when using the recursive algorithm to visually check for consistency." ] }, { "cell_type": "code", "execution_count": 10, "id": "15", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Can also check for consistency of local curvature\n", "# Not implemented as an \"optimization\" rule in the recursive interpolation procedure\n", "# But do have function to do statistical and visual check\n", "\n", "# Using the model we just trained above, so must run cell above before this one\n", "checkPvals = intPpiecewise.check_poly_consistency(do_plot=True)" ] }, { "cell_type": "markdown", "id": "16", "metadata": {}, "source": [ "In the above plot, interpolating polynomials are shown for sliding windows of three state points used in the recursive interpolation model. Colors change for each window. Within a window (same color) the interpolating polynomial for the lower subregion is shown with a dotted line, that for the upper subregion with a dashed line, and the whole window region using the two outermost edge points with a solid line. Outside of the region they were fitted over, the polynomials show large deviations from the true values. For interpolation, however, the polynomials all overlap quite well. By construction, the piecewise function created by the recursive procedure is continuous in both its value and first derivative at all points in the entire interval. Using higher order derivative information would result in continuity in even higher derivatives, but likely even more divergent behavior outside of the interpolated range.\n", "\n", "The point of the above consistency check is to see if the local polynomials agree within each sliding window. If they do, then that means the local curvature is the same over that region and is captured by the order of polynomial that is fit there. To this end, the polynomial coefficients are also bootstrapped and, assuming Normal distributions, p-values are computed for the null hypothesis that the coefficients for each set of sub-regions and the full region within a window are the same. Since we want the polynomials to be the same, we don't want small p-values, so the test is of limited usefulness as larger p-values don't necessarily imply greater similarity. A better statistical test is thus needed. However, the visualization provides a quick visual check/rule of thumb to gauge the consistency of the local curvature and thus convergence of the algorithm. This is similar to the idea of generating overlapping distributions for umbrella sampling." ] }, { "cell_type": "markdown", "id": "17", "metadata": {}, "source": [ "## Adaptive interpolation" ] }, { "cell_type": "markdown", "id": "18", "metadata": {}, "source": [ "```{eval-rst}\n", ".. currentmodule:: thermoextrap.adaptive_interp\n", "```\n", "\n", "While named differently, this is essentially a different implementation of the algorithm described above in {mod}`~thermoextrap.adaptive_interp`. It is more modular, extensible, and has more flexible features, but has not been tested or used as extensively. Specifically, there is no longer a class to keep track of the interpolation (that gets provided as the `factory_statecollection` argument to each method called in {mod}`~thermoextrap.adaptive_interp`) and there is a customizable callback structure that handles tolerance checking, plotting, and outputting incremental results. Further, the {meth}`thermoextrap.recursive_interp.RecursiveInterp.get_data` is replaced by passing a function `factory_state` as an argument to all of the methods in {mod}`~thermoextrap.adaptive_interp`. For an example `factory_state` method, see {func}`factory_state_idealgas`, where an example callback for plotting may also be found.\n", "\n", "The major technical difference is that, instead of automatically creating a fine grid of new alpha values to select a new point based on maximum uncertainty, the grid is passed as an argument. The minimum and maximum values are treated as the initial state points to use. This gives the user finer control over how the search is performed. Another measure of control is provided by the `alpha_tol` argument, which specifies the minimum distance of a new point from previous alpha values.\n", "\n", "Like with {meth}`~thermoextrap.recursive_interp.RecursiveInterp.recursive_train` and {meth}`~thermoextrap.recursive_interp.RecursiveInterp.sequential_train`, there are two training modes. The first is identical to the recursive algorithm described previously and is called {func}`train_recursive`." ] }, { "cell_type": "code", "execution_count": 11, "id": "19", "metadata": {}, "outputs": [], "source": [ "from thermoextrap import adaptive_interp" ] }, { "cell_type": "code", "execution_count": 12, "id": "20", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "depth: 0\n", "alphas: [0.1, 9.6]\n", "alpha_new: 4.6\n" ] }, { "data": { "image/png": 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k5vD3jiGM7tnI2SGJiIjcduopkr8UWN6Ddx5sTs65RKZ8tYz1h886OyQREZFiRwPwZYTHuUOcmRuDzdWT50IasHpUTyqXKx17M4mIiNwO6ikqI1q3bk29OnWoUL0eZ9Mu8/KS3WjkVEq6rBwrj83aymOztuqYDxEpMCVFZYSHhwe//rqGdb/E4uXrx+r9Z/hyyx/ODkukQGx2OxuOpLLhSKqO+RCRAlNSVIYEBATQuLovI3uEAvDGv/exPzndyVGJ3Do3k5HJ0S2YHN1Cx3yISIHpXaQM6h9Rg0qHvufUkgkMm/8bmWaLs0MSuSUuJiN9WlanT8vqOuZDRApM7yJl0NGjR/n935+TeXADv2/fyBv/3ufskERERJxOq8/KoNDQUN5//33Oml2YezaIBdsS6VDXn57NysahuVJ6WG12fk9KA6BJdV8d8yEiBaKkqIx69tlnASj30wGm/XqUkd/upnmQLzUqejk5MpH8y7ZY6T11I6BjPkSk4DR8VsY9f1d9mlbxIvXoHp5bEEeO1ebskETyzYCB6hU8qV7BU8d8iEiB6WtVGXc+9SyHZw7j9JGjbPWawgexlfnn3aHODkskXzzdTGwc2dXZYYhIKaGeojLO39+falUCKV+uHNaMVKavPapjQEREpExSUlTGGY1GvvzySw4f3M/jD/bCbofnF8VzJiPL2aGJiIgUKSVFQvXq1fH39+e1exvRINCH1EtmRizahc2mHYKleMvKsfL3uTv4+9wdOuZDRApMSZE4eLiaeLJBDueWTWD9gWSmrz3q7JBEbshmtxO77zSx+07rmA8RKTBNtBaHK1eu8OzgR7l0+jQu/rWZ5OZGREglwmtVcnZoInlyNRmZ8EBTx88iIgVhsOuo9Gukp6fj6+tLWloa5cuXd3Y4Rerbb79l6dKleN/xd346nEFVXw9WPNeRit5uzg5NRETkhgr6+a2kKA9lOSn606VsC/dO2cDx1Mt0DQ1g1oBwjNotWEREirGCfn6rv1nyVM7dhan9WsHFJH45cIZZG445OySRa9hsdg6dzuDQ6QwtDBCRAlNSJHmy2+3MfOdVEmYO4crRHUz86SA7/zjv7LBEcsmyWIn6YB1RH6wjy6LVZyJSMEqKJE8Gw9WhMrvdTrAtCavNzrPz47hw2ezkyERyq+TtRiXNeROR20BzivKgOUVXXblyhc2bN9OmfSfH/KJuoQHMGhjuSJpERESKC80pkkLj6elJ165dKefuwsf9WuLmYuTnA2eYuU7zi0REpPRRUiT5UsMbau6bjyX9DO+sPMj2E5pfJCIipYuSIsmXv//97/y8dB7G9TOwWG0Mm/8bqZeynR2WlHFZOVaGL4xj+MI4HfMhIgWmpEjyZfz48TRt2pTPP5pIvUAfTqdnE7MwHquWQYsT2ex2lsWfYln8KR3zISIFpmM+JF/q1q3Lrl27MBgMBDfK4L6PN7LhSCpTfjlMzJ31nR2elFGuJiOv9Grk+FlEpCD0LiL59ueKs3qBPrzcpSp2i5kPfz7M+sNnnRyZlFWuJiNPdAjhiQ4hSopEpMD0LiI3beXKlbz8SBSBh77DbofhC+NJTrvi7LBEREQKREmR3LScnBzOnDnDleNxhPq7c/6ymaFf/YbZYnN2aFLG2Gx2Es9nkng+U8d8iEiBKSmSm9arVy8WL17M9u3bmDmoHeU9XPgt4SLjV+x3dmhSxmRZrHR8Zw0d31mjYz5EpMCcnhRNmzaNkJAQPDw8CAsLY/369fmqt3HjRlxcXGjRosU1ry1ZsoRGjRrh7u5Oo0aNWLp06W2OWh566CE8PDyoWdmLSX1bADBn0wmW7zrl3MCkzPF0NeHpanJ2GCJSCjg1KVq0aBExMTGMHj2auLg4OnbsSI8ePUhISLhhvbS0NAYMGEC3bt2ueW3z5s1ER0fTv39/du3aRf/+/enbty9bt24trNso887E/0x7w0EARi7ZzeHTGU6OSMoKLzcX9r9xN/vfuBsvNy2mFZGCcerZZxEREbRq1Yrp06c7yho2bEifPn2YMGHCdes9/PDD1KtXD5PJxHfffUd8fLzjtejoaNLT0/nxxx8dZXfffTcVK1ZkwYIFebaXnZ1Ndvb/b0SYnp5OUFBQmT/7LD+WLl3KAw88gI+PD13+NZddF12p4+/NsmEdKOeuDykRESk6JfbsM7PZzM6dO4mKispVHhUVxaZNm65bb/bs2Rw9epTXXnstz9c3b958TZvdu3e/YZsTJkzA19fX8QgKCrqJOynb7rvvPu644w5efPFFZgy5i8Dy7hw9e5mXl+xGZw2LiEhJ4rSkKDU1FavVSmBgYK7ywMBAUlJS8qxz+PBhRo4cyVdffYWLS969ECkpKTfVJsCoUaNIS0tzPBITE2/ybsouk8nE6tWrefXVV6lSwZtpj7bCxWjgh93JfLbhuLPDk1Iu22Jl5JLdjFyym2xNtBaRAnL6ROs/NwT8k91uv6YMwGq10q9fP15//XXq17/xDsr5bfNP7u7ulC9fPtdD8s9k+v9Jrq1qVuTZtn4ATPjxAFuOnXNWWFIGWG12Fm5PZOH2RB05IyIF5rRJH35+fphMpmt6cM6cOXNNTw9ARkYGO3bsIC4ujmHDhgFgs9mw2+24uLiwatUqunbtSpUqVfLdptxeZ8+eZdCgQRw8eJB7xnzBigMXGTb/N/79bEeq+Ho4OzwphVyMRl6Mqu/4WUSkIJz2LuLm5kZYWBixsbG5ymNjY2nXrt0115cvX549e/YQHx/veAwZMoQGDRoQHx9PREQEAJGRkde0uWrVqjzblNvL1dWV33//nZMnT9Iz8BKhVXxIvWTmH1/t1MaOUijcXIwM61qPYV3r4eaipEhECsapy4NGjBhB//79CQ8PJzIykpkzZ5KQkMCQIUOAq3N9kpKSmDt3LkajkSZNmuSqHxAQgIeHR67y4cOH06lTJyZOnEjv3r1ZtmwZq1evZsOGDUV6b2VRhQoVWLx4Md7e3jRp0oQmbS5z75QNxCVc5I1/7+ONPk3+uhEREREncWpSFB0dzblz5xg3bhzJyck0adKEFStWEBwcDEBycvJf7ln0v9q1a8fChQsZM2YMr7zyCnXq1GHRokWOniQpXP/9dw6u7M3kh1sweM4OvtzyB82DKvBgWA0nRieljd1u5/xlMwCVvN1uOHdQROSvOHWfouKqoPscyFXHjx9n8uTJ1OwxhCm/HsPdxcg3Q9rRtIavs0OTUiLTbKHRqysB2DeuuzZwFCnjSuw+RVK6ZWdn06lTJz766COyf1tKt9AAsi02hszbyblL2X/dgIiISBFTUiSFwt3dnfHjx9OuXTv69evHpOgWhPh5k3TxCsPmx2GxauK1FJyXmwsn3u7Jibd7qpdIRApMw2d50PDZ7WG327HZbI59jA6fzqDP1I1cNlt5skMIY3o1cnKEIiJSmmj4TIotg8GQa2NH1yvneO+hZgDM2nCcZfFJzgpNRETkGkqKpEhMmzaNBg0acOa3WIZ2qQPAy0t2s/dUmpMjk5Is22Ll9e/38vr3e3XMh4gUmJIiKRIXL17EbDbz008/MeKuBnSu709Wjo2n5mritdw6q83O7I0nmL3xhI75EJECU1IkReLll19m8eLFzJ8/H5PRwEcPt6RWZS+SLl5h6PzfyNHEa7kFLkYjQ7vUYWiXOjrmQ0QKTBOt86CJ1kXj0OkM7v/PxOtB7Wox9r7Gzg5JRERKME20lhLHYrHw2muvcWTnej6IbgHAnE0nWLw90bmBiYhImaakSIrcxx9/zLhx4xg4cCARNTyJubMeAGO++53fEi44OTopSex2O5lmC5lmC+r0FpGCUlIkRW7IkCGO3a59fX15rms9ohoFYrbaePrLnaSkZTk7RCkhruRYafTqShq9upIrOVp9JiIFo6RIipyHhwe//vorjzzyCABGo4FJ0S2oH1iOsxnZPP3lDrL0ASciIkVME63zoInWRevKlSucOHEC74Bg7pu6gYuZOfRpUY0Polvo1HO5Ibvd7ugh8nQ16d+LSBmnidZSop04cYLWrVtz11134c0Vpj3aChejge/iT/HJ2mPODk+KOYPBgJebC15uLkqIRKTAlBSJU/n5+ZGTk4PFYuH48eO0q+PHa/9Zmv/OygP8vP+0kyMUEZGyQkmROFW5cuVYtmwZu3btIjw8HID+bYN5NKImdjsMXxjP4dMZTo5Siiuzxca7Kw/w7soDmC3aAFRECkZJkThdaGgogYGBucrG3teYtrUrcSnbwhNf7ODCZbOTopPizGKzMXXNUaauOYrFpqRIRApGSZEUKxs3bqRz585czkhn2qNh1KzkRcL5TIbM26meALmGyWjg8fa1eLx9LUxGzSkSkYLR6rM8aPWZc1gsFho3bsyhQ4cYPnw4kydP5tDpDB6YtolL2RYeaRPE+PubakKtiIjkSavPpNRwcXHhq6++YsCAAbzxxhsA1A/0YUq/lhgNsGBbIp9vPOHcIEVEpNRST1Ee1FNU/Mxaf4w3f9iP0QCfDWxNl9AAZ4ckIiLFjHqKpFT74YcfuHjxIk90COHh1kHY7PDsgjgOaUWaAJlmC7VG/kCtkT+QabY4OxwRKeGUFEmx9fbbb9OrVy8GDx4MwLjeTYgIuboibfCc7aReynZyhCIiUpooKZJiq1u3bri5uVG7dm2sVituLkY+eSyMWpW9OHnhCk/N1RlpZZ2nq4mdY+5k55g78XQ1OTscESnhNKcoD5pTVHz88ccfBAcH5yo7evYS90/dSHqWhfuaV+PDh3VGmoiIaE6RlHL/nRDZ7XYyMzOp41+OT/qH4WI0sHzXKSavPuzECEVEpLRQUiQlQnp6OtHR0Tz44IPYbDba1fHjrfubAPDhz4dZFp/k5AjFGcwWGx//cpiPfzmszT1FpMCUFEmJkJCQwPfff09sbCw7duwAILp1TZ7uXBuAl77ezY4T550ZojiBxWbjvVWHeG/VIR3zISIFpqRISoQmTZrwxRdfsG7dOtq0aeMof7l7KN0bB2K22vj73B2cSL3sxCilqJmMBh5uHcTDrYN0zIeIFJgmWudBE61LlitmKw/P3Myuk2mE+Hnz7T/aUdHbzdlhiYhIEdNEaymTkpOTiYmJIScnB083E58ODKd6BU+Op17m6S93km3RUn0REbk5SoqkxLFarXTp0oUPP/yQMWPGABDg48Hsx1vj4+HCthPn+ec3u1EnqIiI3AynJ0XTpk0jJCQEDw8PwsLCWL9+/XWv3bBhA+3bt6dy5cp4enoSGhrKBx98kOuaOXPmYDAYrnlkZWUV9q1IETGZTEycOJFmzZrx5JNPOsrrB/ow/dGrS/WXxZ9iUuwhJ0YpRSHTbKHhKz/R8JWfdMyHiBSYizN/+aJFi4iJiWHatGm0b9+eGTNm0KNHD/bt20fNmjWvud7b25thw4bRrFkzvL292bBhA08//TTe3t489dRTjuvKly/PwYMHc9X18PAo9PuRotO7d2969uyJi0vuf8Id6l1dqv/ykj1M+eUIQRW96Ns6yElRSlG4ol3NReQ2cepE64iICFq1asX06dMdZQ0bNqRPnz5MmDAhX2088MADeHt78+WXXwJXe4piYmK4ePHiLcelidYlz4EDB6hRowblypUD4L2VB/l4zRFMRgOfD2pN5/r+To5QCoPNZifp4hUAqlfwxKgVaCJlWomdaG02m9m5cydRUVG5yqOioti0aVO+2oiLi2PTpk107tw5V/mlS5cIDg6mRo0a9OrVi7i4uBu2k52dTXp6eq6HlBxLly4lPDycJ554wjGP6IWo+tzfsjpWm51n5u1k76k0J0cphcFoNBBUyYugSl5KiESkwJyWFKWmpmK1WgkMDMxVHhgYSEpKyg3r1qhRA3d3d8LDwxk6dGiueSWhoaHMmTOH5cuXs2DBAjw8PGjfvj2HD1//KIgJEybg6+vreAQFabilJAkMDMRsNnP+/HkyMzMBMBgMTPxbMyJrV+ay2crgOds59Z8eBRERkbw4faL1/x7kabfb//Jwz/Xr17Njxw4++eQTJk+ezIIFCxyvtW3blscee4zmzZvTsWNHFi9eTP369ZkyZcp12xs1ahRpaWmOR2JiYsFuSopUu3btWLt2LT/99BPe3t6OcjcXI5/0D6NeQDlOp2fz+OztpGflODFSud1yrDY+23CczzYcJ8eqHa1FpGCcNtHaz88Pk8l0Ta/QmTNnruk9+l8hISEANG3alNOnTzN27FgeeeSRPK81Go20bt36hj1F7u7uuLu73+QdSHESGRmZ67nFYsHFxQVfT1fmDG7D/VM3cvB0BkO+3Mmcx9vg5uL07wNyG+RYbbzx730APNImCFeT/ruKyK1z2juIm5sbYWFhxMbG5iqPjY2lXbt2+W7HbreTnZ19w9fj4+OpWrXqLccqJYfdbufdd9+lU6dOjn8X1St48vmg1ni7mdh09BwvfbMLm017GJUGRoOB3i2q0btFNYx/0cMsIvJXnLokf8SIEfTv35/w8HAiIyOZOXMmCQkJDBkyBLg6rJWUlMTcuXMBmDp1KjVr1iQ0NBS4um/Re++9x7PPPuto8/XXX6dt27bUq1eP9PR0PvroI+Lj45k6dWrR36AUudOnTzNhwgQuXLjAwoULGThwIABNqvsy/bEwBs/ZzrL4U1Qp78Goexo6OVopKA9XEx8+3NLZYYhIKeHUpCg6Oppz584xbtw4kpOTadKkCStWrCA4OBi4epRDQkKC43qbzcaoUaM4fvw4Li4u1KlTh7fffpunn37acc3Fixd56qmnSElJwdfXl5YtW15ziKiUXlWqVGHBggUcP36cAQMG5HqtU31/3nmwGSMW72LGumMElvdgcIcQJ0UqIiLFjQ6EzYP2KSrdpv16hHd+OojBAB8/0oqezTS0KiJSGpTYfYpEioLZbGbkyJGcOnXKUfaPznUYEBmM3Q7PL4pny7FzToxQCiLTbKHVG7G0eiNWx3yISIEpKZJS7ZlnnmHixIn07dvXsbGjwWDgtXsb071xIGarjb9/sYN9p7RhZ0l1/rKZ85fNzg5DREoBJUVSqo0cOZJatWoxatSoXPtfmYwGPny4JW1qVSIj28LA2dtIPJ/pxEjlVni4mFj1fCdWPd8JDxeTs8MRkRJOc4ryoDlFpUtOTg6urq55vpZ2JYfoGZs5kJJBbT9vvh4SSeVy2rNKRKQk0pwikb/w3wnRhQsXcp2F5+vpyheD21C9gifHUi8zeM52LmdrboqISFmkpEjKjBMnTtCmTRu6d+/OH3/84SgPLO/B3CfaUNHLlV0n0xgybydmi46MKAlyrDYWbEtgwbYEHfMhIgWmpEjKjICAAHx8fPDy8iIjIyPXa3X8yzH78TZ4uppYfziVF7/WrtclQY7Vxqhv9zDq2z1KikSkwJy6eaNIUfLy8mLZsmV4eHjg7+9/zestgirwSf8wnpizneW7TlHRy5Wx9zX+ywOKxXmMBgN3NQp0/CwiUhCaaJ0HTbQuOzIyMvDx8clVtiw+iZhF8djtEHNnPWLurO+k6ERE5GZoorXILfr555+pXbs2y5cvz1Xeu0V1Xr+vMQCTVx9m7uYTTohORESKmpIiKbOWLVtGamoqU6ZM4X87TAdE1iLmznoAvLZ8L8vik5wRooiIFCHNKZIy6/3336d69eoMHz48z3lDw7vV48JlM19s/oMXFu+ivIcrXUIDnBCpXM8Vs5U7J60FYPWIzni6aQNHEbl16imSMsvV1ZWXX34ZDw+PPF//8ziQ+5pXw2KzM2TeTrbqnLRixY6dpItXSLp4BTuaHikiBaOkSOQ/Pv/8c55++ulcQ2lGo4H3+zana2gA2RYbT3yxgz0n05wYpfw3dxcTy4a2Z9nQ9rjrmA8RKSCtPsuDVp+VPYcOHaJRo0ZYrVa+++47evfunev1rBwrAz/fxtbj56nk7cbipyOpG1DOSdGKiEhetPpM5DaoX78+kydPZuzYsdx3333XvO7hamLWwHCaVvfl/GUzj83aqgNkRURKGfUU5UE9RXI95y+b6TtjM0fOXCK4shdfPx1JQPm85yRJ4bNYbfx7dzIAvZpVxcWk73kiZZl6ikQKgc1m46233uLUqVO5yit5u/HlE22oUdGTP85l8thnWzl/2eykKMVstRGzKJ6YRfGYdcyHiBSQkiKRPLz00kuMGTOG3r17Y7FYcr1W1deT+U+2JbC8O4dOX2Lg59tIz8pxUqRlm9FgoENdPzrU9dMxHyJSYEqKRPLwzDPPUL16dZ5//nlcXK7dzqtmZS++ejKCSt5u7ElKY/Ds7WSaLXm0JIXJw9XEvCcjmPdkBB6uWn0mIgWjOUV50JwiAbhy5Qqenp43vOb3pDQe+XQLGVkWOtbz49MB4fpwFhFxEs0pEikk/50QXbp0iZ9++umaa5pU92XO423wcjOx/nAqw+b/htmiuS0iIiWRkiKRv5CWlkbnzp3p1asXK1euvOb1sOCKzBoYjruLkdX7zxCzKA6LJv0WiStmK3dNWstdk9ZyxWx1djgiUsIpKRL5C+XLl6dx48ZUrFjxut2x7er4MaN/GG4mIyv2pPDC17uw2jQyXdjs2Dl85hKHz1zSMR8iUmCaU5QHzSmS/2U2m0lOTiY4OPiG18XuO80/5u3EYrPTN7wGbz/QDKNRq6IKi9VmZ9vx8wC0CamESX9rkTJNc4pEioCbm1uuhOjkyZNkZGRcc91djQL56JGWGA2weMdJXl3+O/reUXhMRgORdSoTWaeyEiIRKTAlRSI3KT4+noiICKKjo6/ZwwjgnqZVmdS3BQYDzNuSwLh/71NiJCJSAly7ActNyMzMJCEhAbM5946+zZo1K1BQIsWZ2WzmwoULJCQkcP78eQICAq65pk/L6pgtNv65ZDezN57AZDAwumdDDNpg8LayWG38fOAMAN1CA3TMh4gUyC0lRWfPnuXxxx/nxx9/zPN1q1WrQKT0atOmDT/99BPNmjWjQoUK172ub+sgLDY7/1q6h1kbjmMyGRh5d6gSo9vIbLXx9Jc7Adg3rruSIhEpkFt6B4mJieHChQts2bIFT09PfvrpJ7744gvq1avH8uXLb3eMIsVOp06dciVE58+fz/O6fhE1eaNPEwBmrD3G+6sOaSjtNjIaDIQFVyQsuKKO+RCRArulnqJffvmFZcuW0bp1a4xGI8HBwdx1112UL1+eCRMm0LNnz9sdp0ixtXz5ch577DEWL17M3Xfffc3r/dsGY7XaGPv9Pj5ecwST0cDzd9V3QqSlj4eriSX/aOfsMESklLilnqLLly875lFUqlSJs2fPAtC0aVN+++232xedSAmwdOlSMjIy+Pzzz697zaD2IYzp2RCAD38+zAexh4oqPBERyadbSooaNGjAwYMHAWjRogUzZswgKSmJTz75hKpVq95UW9OmTSMkJAQPDw/CwsJYv379da/dsGED7du3p3Llynh6ehIaGsoHH3xwzXVLliyhUaNGuLu706hRI5YuXXpzNyhyE2bMmMEHH3zA/Pnzb3jdkx1rM/oeJUYiIsXVLc8pSk5OBuC1117jp59+ombNmnz00UeMHz8+3+0sWrSImJgYRo8eTVxcHB07dqRHjx4kJCTkeb23tzfDhg1j3bp17N+/nzFjxjBmzBhmzpzpuGbz5s1ER0fTv39/du3aRf/+/enbty9bt269lVsV+Utubm7ExMTg4vL/o9HZ2dl5Xvv3TrkTo0mxmmNUEFk5Vu77eAP3fbyBrBwt8BCRgrktO1pnZmZy4MABatasiZ+fX77rRURE0KpVK6ZPn+4oa9iwIX369GHChAn5auOBBx7A29ubL7/8EoDo6GjS09NzrYy7++67qVixIgsWLMhXm9rRWm6V3W7n3XffZdGiRaxZs+a6/34+XXeMt1bsB+C5bvV4/s56WpV2CzLNFhq9evU8un3juuPlVqBdRkSkhHPKjtbjxo0jMzPT8dzLy4tWrVrh7e3NuHHj8tWG2Wxm586dREVF5SqPiopi06ZN+WojLi6OTZs20blzZ0fZ5s2br2mze/fuN2wzOzub9PT0XA+RW3Hu3Dnef/99fvvtNxYvXnzd6/67x+gj9RjdMjeTkc8HhfP5oHDctBxfRArolt5FXn/9dS5dunRNeWZmJq+//nq+2khNTcVqtRIYGJirPDAwkJSUlBvWrVGjBu7u7oSHhzN06FCefPJJx2spKSk33eaECRPw9fV1PIKCgvJ1DyL/y8/PjxUrVjB58uRc/y7z8vdOtR2Tr6f8coR3Vh5UYnSTXExGuoYG0jU0UHsUiUiB3VJfs91uz7Orf9euXVSqVOmm2vrfdq7X9n9bv349ly5dYsuWLYwcOZK6devyyCOP3HKbo0aNYsSIEY7n6enpSozkloWFhREWFuZ4brPZMBgMef4bfLJjbQwGA2/8ex/Tfz2KxWrjX/do52sREWe4qaSoYsWKjjf3+vXr53rjtlqtXLp0iSFDhuSrLT8/P0wm0zU9OGfOnLmmp+d/hYSEAFe3ADh9+jRjx451JEVVqlS56Tbd3d1xd3fPV9wiNyMnJ4fBgwdTp04dxo4dm+c1T3QIwdVk4NVle/l0/XEsNjuv9mqkxCgfrDY7m46mAtCujp8OhRWRArmppGjy5MnY7XYGDx7M66+/jq+vr+M1Nzc3atWqRWRkZL7acnNzIywsjNjYWO6//35HeWxsLL179853THa7PddKn8jISGJjY3n++ecdZatWraJdO23wJkVv1apVzJs3DxcXFx555BEaNGiQ53UDImvhYjTyr6V7mL3xBFabnbH3NsaoD/kbyrZY6f/ZNkATrUWk4G7qHWTgwIHA1Z6a9u3b51qCfCtGjBhB//79CQ8PJzIykpkzZ5KQkODobRo1ahRJSUnMnTsXgKlTp1KzZk1CQ0OBq/sWvffeezz77LOONocPH06nTp2YOHEivXv3ZtmyZaxevZoNGzYUKFaRW9GzZ0/efvttGjdufN2E6E/9ImriYjTw8re7mbv5D3KsNt7q01SJ0Q0YDQYaVi3v+FlEpCBuKavp3LkzR48eZfbs2Rw9epQPP/yQgIAAfvrpJ4KCgmjcuHG+2omOjubcuXOMGzeO5ORkmjRpwooVKwgODgYgOTk5155FNpuNUaNGcfz4cVxcXKhTpw5vv/02Tz/9tOOadu3asXDhQsaMGcMrr7xCnTp1WLRoEREREbdyqyIF9vLLL+d6fqM5bn1bB2EyGnjpm10s2JZIdo6Ndx5spknE1+HhauLH4R2dHYaIlBK3tE/R2rVr6dGjB+3bt3dspFi7dm3eeecdtm3bxjfffFMYsRYZ7VMkheX8+fM8+OCDvPbaa7m2kvhf3+86RcyieKw2Oz2bVmXywy1wVWIkInJDTtmnaOTIkbz55pvExsbi5ubmKO/SpQubN2++lSZFyoQ333yTNWvWMGjQIMxm83Wvu7d5NaY92gpXk4Ef9iTzj3m/kW3Rjs0iIoXplpKiPXv25Joc/Sd/f3/OnTtX4KBESqvx48fTr18/vv/++1xfKPLSvXEVZg4Ix93FyOr9p/n73J1cMSsx+m9ZOVaiZ2wmesZmHfMhIgV2S0lRhQoVHGef/be4uDiqV69e4KBESisPDw+++uormjRp4ii70Qh2lwYBzB7UGk9XE+sOnWXg7G1kZOUURaglgs1uZ+vx82w9fh6bNr4UkQK6paSoX79+vPzyy6SkpGAwGLDZbGzcuJEXX3yRAQMG3O4YRUqtAwcO0LFjRxITE697Tbu6fnz5RBt83F3Ydvw8j87ayoXL1x96K0vcTEam9mvF1H6tdMyHiBTYLU20zsnJYdCgQSxcuBC73Y6LiwsWi4VHH32UOXPmYDKZCiPWIqOJ1lIU7HY7nTp1YsOGDfTp04elS5fe8Prfk9Lo/9lWLmTmUD+wHPOeiCCgvEcRRSsiUvwV9PP7lpKiPx07dowdO3ZgMBho2bIldevWvdWmihUlRVJUEhMTee655/j000/x8/P7y+sPn87gsc+2cjo9m1qVvZj3ZAQ1KnoVQaQiIsWf05Kizz77jA8++IDDhw8DUK9ePWJiYv7yEMySQEmRONNfndWXcC6TfrO2cPLCFar6evDlExHUDShXhBEWH1abnbiECwC0rFlRx3yIlHFOWZL/yiuvMHz4cO69916+/vprvv76a+69916ef/55xowZcytNigjw008/cccdd5CWlnbda2pW9uKbIe2o4+9NcloWfWds5vek619fmmVbrDz4yWYe/GSztiwQkQK7pZ4iPz8/pkyZkutkeoAFCxbw7LPPkpqaetsCdAb1FIkzZGVlUbduXZKSkhg9ejRvvvnmDa8/f9nMwM+3sScpjXLuLswaGE7b2pWLKNri4YrZSo8P1wHw4/BOeLqV7PmMIlIwTukpslqthIeHX1MeFhaGxWK5lSZFyjwPDw/+/e9/88QTT/Dqq6/+5fWVvN2Y//cIIkIqcSnbwsDPt/Hz/tNFEGnx4elm4teXuvDrS12UEIlIgd1SUvTYY48xffr0a8pnzpzJo48+WuCgRMqqFi1aMGvWrFwbO1qt1x8W8vFw5YvBbbizYQDZFhtPfbmT7+KSiiJUEZFSJ98Hwo4YMcLxs8FgYNasWaxatYq2bdsCsGXLFhITE7VPkchtNGnSJH744Qe+//57vLzyXmXm4Wpi+mNh/POb3SyNSyJmUTznL5sZ3CGkiKMVESnZ8j2nqEuXLvlr0GDgl19+KVBQzqY5RVIcpKSkUL9+fTIyMpg9ezaDBg264fU2m503ftjH7I0nABjapQ4vRjW44Uq2ki4rx8o/5u0EYPpjYXi4aghNpCwr6Od3vnuK1qxZc9ONi8itq1KlCj/++CNr165l4MCBf3m90Wjg1V6N8CvnzrsrDzJ1zVHOXTLzZp8muJTS3Z5tdjtrDp51/CwiUhAF2ryxtFJPkRRXVqsVs9mMp6fnDa9bsC2B0Uv3YLND98aBfPhwy1LZi5JjtTnmUPVpWR3XUpr8iUj+OGX1mYgUPavVyuDBg+nVqxeZmZk3vPaRNjWZ9ujV88BW7j3NgM+3kXal9B0k62oy8lB4EA+FBykhEpEC07uISAlx5MgRvv32W9auXcuWLVv+8vq7m1RlzuDWjoNk+36ymZS0rCKIVESkZFJSJFJCNGjQgFWrVrFgwQK6du2arzrt6vix6OlIAnzcOXg6gwembeTImYxCjrToWG129p5KY++pNKw2zQQQkYLRnKI8aE6RlBQXL17EYDDg6+t7w+sSz2cycPY2jp29jK+nK58NDCe8VqUiirLwZJotNHp1JQD7xnXHyy3fa0dEpBTSnCKRMiojI4MePXpw5513cv78+RteG1Tp6nlpLYIqkHYlh0dnbeWn31OKKNLCY8BAYHl3Asu7Y6D0bj0gIkVDSZFICZWYmMiRI0c4evQop06d+svrK3m7seDvbekWenX36398tZMvNp0o/EALkaebia3/upOt/7pTx3yISIFp+CwPGj6TkmLv3r1cuXIlz7MIr8ditfHq8r3M35oAwNOdavPy3aEYjeppEZGSrcg2bxSR4qdx48a5nh8+fBg3NzeCg4OvW8fFZOStPk2oXsGTd1ceZMa6Y5xKy+K9h5rh7qLeFhEpuzR8JlJKHD9+nK5du9KxY0cOHz58w2sNBgNDu9RlUt/muBgNfL/rFP0/28bFTHMRRXt7ZOVYeearnTzz1U6ycq5/cK6ISH4oKRIpJdzc3ChXrhzlypWjYsWK+arzQKsazHm8DeX+s5fRA9M3kXDuxhtDFic2u50Ve1JYsSdFx3yISIFpTlEeNKdISqqzZ89iNpupXr36TdU7kJLO4NnbOZWWRWVvN2YNDKdlzfwlVs6UY7WxYNvVuVGPtKmpXa1FyriCfn4rKcqDkiIpLVatWgVAVFTUX157Oj2LwXO2s/dUOu4uRj58uAV3N6la2CGKiNw22qdIRPK0a9cu7r//fnr16sXmzZv/8vrA8h4sfjqSro4l+7/x6bpj6HuTiJQVSopESqmGDRtyzz330K1bN8LCwvJVx9vdhZn9wxgQGYzdDm+t2M+/lv5OjtVWyNHeGpvNzvHUyxxPvYxNx3yISAFp+CwPGj6T0sJqtZKdnY2Xl9dN1bPb7Xy+8QRv/rAPux061PVj6qOt8PV0LaRIb42O+RCR/6bhMxG5LpPJlCshmjx5MsOHD8dmu3HPj8Fg4IkOIXzaPxwvNxMbjqTywLSNxXJlmo+HCz4eSoZEpODUU5QH9RRJaXTo0CEaNmyIzWbju+++o3fv3vmqt/dUGk9+sYPktCwqebsxo38YrUvBYbIiUvqop0hE8qV+/frMnTuXF198kfvuuy/f9RpX8+W7oe1pWt2X85fN9Pt0C1/vSCzESEVEnMPpSdG0adMICQnBw8ODsLAw1q9ff91rv/32W+666y78/f0pX748kZGRrFy5Mtc1c+bMwWAwXPPIysoq7FsRKfYeffRR3n33XQyGq+ec5eTkcPbs2b+s9+fKtHuaViHHauelb3YzYcV+rJrcLCKliFOTokWLFhETE8Po0aOJi4ujY8eO9OjRg4SEhDyvX7duHXfddRcrVqxg586ddOnShXvvvZe4uLhc15UvX57k5ORcDw8Pj6K4JZESw263M2TIECIiIjh06NBfXu/pZuLjR1rxXNe6AMxYd4yn5u7gUralsEO9rmyLlRcW7+KFxbvItuiYDxEpGKfOKYqIiKBVq1ZMnz7dUdawYUP69OnDhAkT8tVG48aNiY6O5tVXXwWu9hTFxMRw8eLFfMeRnZ1Ndna243l6ejpBQUGaUySlWmpqKm3btuX48eMsW7aMXr165bvusvgkXvpmN2aLjQaBPswaGE5QpZtb4XY7aPWZiPy3EjunyGw2s3Pnzmt22o2KimLTpk35asNms5GRkUGlSrknfV66dIng4GBq1KhBr169rulJ+l8TJkzA19fX8QgKCrq5mxEpgfz8/Ni0aRNff/31TSVEAL1bVGfx05H4+7hz8HQG9328gc1HzxVSpNfnYjQyqkcoo3qE4mJ0+mwAESnhnPYukpqaitVqJTAwMFd5YGAgKSkp+Wrj/fff5/Lly/Tt29dRFhoaypw5c1i+fDkLFizAw8OD9u3b3/DU8FGjRpGWluZ4JCZqEqmUDQEBATzwwAOO5+fPn2fOnDn5qtsiqALLh7WnWQ1fLmTm0P+zrXy55Y9CijRvbi5Gnu5ch6c718HNRUmRiBSM0/ua/5zw+Se73X5NWV4WLFjA2LFjWbZsGQEBAY7ytm3b0rZtW8fz9u3b06pVK6ZMmcJHH32UZ1vu7u64u7vf4h2IlA45OTk88MADrF27lpMnTzJmzJi/rFPV15PFT0fy8pLdLIs/xSvf/c6B5HReu7exkhQRKXGc9q7l5+eHyWS6plfozJkz1/Qe/a9FixbxxBNPsHjxYu68884bXms0GmnduvUNe4pEBFxcXOjRowe+vr753sMIwMPVxOToFrx8dygGA3y1NYHHPttK6qXsv65cQDabnZS0LFLSsnTMh4gUmNOSIjc3N8LCwoiNjc1VHhsbS7t27a5bb8GCBQwaNIj58+fTs2fPv/w9drud+Ph4qlbVad8iN2IwGHj55Zc5fPgwTZs2dZTnZy2GwWDgH3fUYdaAcMq5u7Dt+Hnum7KBPSfTCjNksixW2k74mbYTfiZLq89EpICc2r89YsQIZs2axeeff87+/ft5/vnnSUhIYMiQIcDVuT4DBgxwXL9gwQIGDBjA+++/T9u2bUlJSSElJYW0tP9/43399ddZuXIlx44dIz4+nieeeIL4+HhHmyJyY/7+/o6fDx06RKtWrdizZ0++6nZrGMh3Q9tT28+bU2lZ/O2TTSzZebKwQgXAxWjAxfjXQ+4iIn/FqUlRdHQ0kydPZty4cbRo0YJ169axYsUKgoODAUhOTs61Z9GMGTOwWCwMHTqUqlWrOh7Dhw93XHPx4kWeeuopGjZsSFRUFElJSaxbt442bdoU+f2JlHQvvPAC8fHxvPDCC/muUzegHN8Na0+30ADMFhsvfL2L17/fS471xuet3QovNxeOjL+HI+Pv0XJ8ESkwnX2WB519JnLVhQsXiImJ4Z133vnLuX7/y2azM3n1IT765QgAbWtX4uN+rfArp0UNIlI4Cvr5raQoD0qKRK5v/fr1tG3bFldX13xd/9PvybyweBeXzVaq+now7dFWtKxZsZCjFJGyqMRu3igiJc/atWvp2rUr3bt35/Lly/mqc3eTqiwb1p7a/t4kp2URPWMLC7blfZTPzcq2WHnlu9955bvfdcyHiBSYkiIRybfMzEw8PDwIDAzEyyv/x3rUDfBh2dD2dG8ciNlqY9S3e3j5m91k5RQskbHa7Hy55Q++3PKHDqcVkQLT8FkeNHwmcn0HDhygZs2aN5UU/clutzN97VHeW3kQmx2aVC/P9EfDbvncNLPFxtQ1V+csDe1SVxtGipRxmlNUCJQUieTfyy+/TIUKFRg5cmS+dqMHWH/4LM8tiONCZg6+nq5Mjm5Bl9CAv64oInIDSooKgZIikfzZunWr41idDRs20L59+3zXTbp4hWe++o1diRcBeK5rXYbfWR+T9hwSkVukpKgQKCkSyb8ZM2aQnJzM2LFjb7putsXKWz/sZ+7mqwfJdqznx+ToFlTO57J9u91OepYFgPIeLvnuqRKR0klJUSFQUiRy6zIyMoiLi6NTp075rvNdXBKjvt3DlRwrVcp7MKVfS1rXqvSX9TLNFhq9uhKAfeO6awNHkTJOS/JFpNiw2+0MGjSILl268Mknn+S7Xp+W1fluaHvq+HuTkp7FwzO3MGPtUR3yKiJFSkmRiNw2OTk5VKhQAZPJRIsWLW6qboMqPiwf1oHeLaphtdmZ8OMBnvpyBxczzdet4+lq4vBbPTj8Vg88XU0FjF5EyjoNn+VBw2cit85ut3PgwAEaNmzoKMvJycn3Dth2u50F2xIZ+/1ezBYb1St4MqVfS1ppF2wR+QsaPhORYsVgMORKiJKSkmjYsCGLFy/Od/1+ETX59h/tCK7sRdLFK/T9ZLOG00Sk0CkpEpFCNWnSJI4ePcr48eOxWCz5rtekui//frYDvZpVxfKf4bTBX2zn3KVsxzVmi43xK/YzfsV+zBZbYYQvImWIkiIRKVQTJ07k1Vdf5ZtvvsHF5eZWh/l4uDLlkZaMv78p7i5Gfj14lns+Ws+WY+cAsNhszFx3jJnrjmGxKSkSkYLRnKI8aE6RSOFavHgxPj4+9OjRI9919ienM2z+bxw9exmjAYZ1rceQTrWZ/PNhAF6MaqBjPkTKOO1TVAiUFIkUnoMHD9KqVSsyMzP5+eef6dq1a77rXs628NryvXyz8yQArWtVZPLDLalewbOwwhWREkQTrUWkRKlVqxaPP/443bp1o3PnzjdV19vdhfceas6HD7egnLsL209c4J4P1/PT78mFFK2IlCXqKcqDeopECp/ZbMbNzQ0Am83Gpk2b6NChQ77rJ5zLZNiC39h9Mg2Ah1sH8eq9jbSrtUgZpp4iESmR/kyIAN599106duzI6NGj812/ZmUvvnyijeP5wu2J9Jqygd+T0m5rnCJSdigpEhGnO3/+PAC1a9e+qXqupv9/CwvwcePY2cvcP22j9jQSkVui4bM8aPhMpOht376d8PBwx0n36enp+Pj4OJ7nxW63k551de8jq9XGqKV7WLn3NADt6lTm/b7NqeqrSdgiZYWGz0SkVGjdurUjATKbzXTt2pWHH36YixcvXreOwWDA19MVX09XKpVz55PHwnj7gaZ4uprYdPQc3T9Yx/Jdp4roDkSkpFNSJCLFzsaNG9m1axerV6/m8uXL+a5nMBh4uE1NfniuA81r+JKeZeG5BXHELIwj7UpOIUYsIqWBhs/yoOEzEefbtm0bFy5coHv37o4yu92eazjNbLExdc0RAIZ2qZtr88Ycq40pvxxh6pojWG12qvl68H7fFkTWqVx0NyEiRUrDZyJSKrVp0yZXQrR9+3YiIyPZv3+/o8xis/Hhz4f58OfD1xzz4WoyMuKu+nw9JJLgyl6cSsvikU+3MO77fWTlWIvsPkSk5FBSJCLFnt1uJyYmhq1btzJ+/HhHuclooH/bYPq3DcZkzHtCdquaFVnxXEceaVMTgM83HqfnR+vZffJiUYQuIiWIhs/yoOEzkeLn1KlTjBw5ksmTJ1OpUqVbamPNgTO8vGQ3ZzKyMRkNDOtSl2Fd6+Za2i8iJZfOPisESopESoaxY8dSp04dHnvssRsu3f9vFzPNvLJsL9//Z1Va42rleb9vc0Kr6P91kZJOSVEhUFIkUvxt27aNtm3bYrfb2bp1K23atPnrSv/l+12neGXZ71zMzMHVZCDmzvo83ak2Luo1EimxlBQVAiVFIsWfxWLhrYnvMSe9MSaTid1jo2763LMzGVn869vfWb3/6oaPzWr48v5DzakX6FMYIYtIIdPqMxEpk1xcXHjppRexG4xY/nOkR0ZGBkOHDuXMmTP5aiPAx4NPB4QxqW9zynu4sPtkGj0/2sDUNUewWG1/3YCIlCrqKcqDeopESgabzc6ZjGwAAnzcGTZsKNOnT6d169Zs3bo13/OMAFLSshj17W7WHDwLQNPqvrzzYDMaVtV7gEhJUeJ7iqZNm0ZISAgeHh6EhYWxfv3661777bffctddd+Hv70/58uWJjIxk5cqV11y3ZMkSGjVqhLu7O40aNWLp0qWFeQsi4iRGo4Eqvh5U8fXAaDTw97//nRYtWjBx4sSbSogAqvh68Pmg1rz30NVeoz1Jadz38QYmrz6E2aJeI5GywKlJ0aJFi4iJiWH06NHExcXRsWNHevToQUJCQp7Xr1u3jrvuuosVK1awc+dOunTpwr333ktcXJzjms2bNxMdHU3//v3ZtWsX/fv3p2/fvmzdurWobktEnKRly5aO94Y/rVixglmzZpGfTnGDwcCDYTVYPaIzdzUKJMdqZ/Lqw9z38QZ2JV4sxMhFpDhw6vBZREQErVq1Yvr06Y6yhg0b0qdPHyZMmJCvNho3bkx0dDSvvvoqANHR0aSnp/Pjjz86rrn77rupWLEiCxYsyFebGj4TKRnMFhuzNx4H4PH2IbmO+QBIS0ujUaNGnDp1ik8++YSnn346323b7Xb+vTuZ15bv5fxlM0YDDG4fwoio+jc9oVtEikaJHT4zm83s3LmTqKioXOVRUVFs2rQpX23YbDYyMjJybeS2efPma9rs3r37DdvMzs4mPT0910NEij+LzcaEHw8w4ccD1xzzAeDt7c2IESNo1qwZAwYMuKm2DQYD9zavRuzznejToho2O8zacJzuk9ex4XDq7boFESlGnJYUpaamYrVaCQwMzFUeGBhISkpKvtp4//33uXz5Mn379nWUpaSk3HSbEyZMwNfX1/EICgq6iTsREWcxGQ38rVUN/taqRp7HfLi4uPDCCy/w22+/4enp6SgfNWoU27dvz9fvqFzOnckPt2T2oNZU8/Ug8fwVHvtsKy9+vYsLl8237V5ExPmcPtH6fydD/u8p2NezYMECxo4dy6JFiwgICChQm6NGjSItLc3xSExMvIk7EBFncXcx8X7f5rzftznuLqbrXmcy/f9ry5cv5+2336Zjx46cPn0637+rS2gAq0Z0ZmBkMAYDfLPzJN0mrWVp3Ml8zVcSkeLPaQPjfn5+mEyma3pwzpw5c01Pz/9atGgRTzzxBF9//TV33nlnrteqVKly0226u7vj7u5+k3cgIiVRZGQkjz32GDVq1PjL95r/Vc7dhdd7N+G+FtUY9e0eDp2+xPOLdvHtb0m82acJwZW9CylqESkKTuspcnNzIywsjNjY2FzlsbGxtGvX7rr1FixYwKBBg5g/fz49e/a85vXIyMhr2ly1atUN2xSRssPf358vv/ySt956y1GWlJTEgw8+yLFjx/LVRlhwJf79bEde6t4ANxcj6w+nEvXBOqauOaLl+yIlmFOXUIwYMYL+/fsTHh5OZGQkM2fOJCEhgSFDhgBXh7WSkpKYO3cucDUhGjBgAB9++CFt27Z19Ah5enri6+sLwPDhw+nUqRMTJ06kd+/eLFu2jNWrV7Nhwwbn3KSIFJpMs4WI8T8DsPVf3W5qVZjR+P/fCV966SWWLFnC+fPn+eWXX/JV383FyNAudbmnaVVGL93DpqPneHflQZbGJfFWnyZE1K58czcjIk7n1DlF0dHRTJ48mXHjxtGiRQvWrVvHihUrCA4OBiA5OTnXnkUzZszAYrEwdOhQqlat6ngMHz7ccU27du1YuHAhs2fPplmzZsyZM4dFixYRERFR5PcnIoUvI8tCRpalQG289tprdO/enUmTJjnK8jtPKMTPm6+ejGBS3+ZU9nbjyJlLRM/cwktf7+K8JmKLlCg65iMP2qdIpGSw2ez8cT4TgOBKXhjzWIF2q6ZOncrq1av54IMPqFWrVr7qpGXmMHHlAeZvvfplroKXKy/fHUp0eNBtjU1E8lbQz28lRXlQUiRStmVlZREUFERqaipTp07lmWeeuan6O/+4wOileziQkgFA86AKvNm7CU1r+BZGuCLyH0qKCoGSIhHZu3cvU6dOZcqUKY4l/RcuXKBChQr52jbEYrXxxeY/+CD2EJeyLRgM8FhEMC9GNcDXy7Wwwxcpk5QUFQIlRSIlQ47VxoJtV4eqHmlTE1dT4U2TtNlstG/fHk9PT2bNmkXt2rXzVe90ehbjV+xnWfwpACp5u/HP7g3oqyE1kduuxB7zISJSUDlWG68u28ury/aSYy3cpfC///47cXFxbNu2DQ8Pj3zXCyzvwYcPt2T+3yOoG1CO85fNjPx2D/dP20i8DpkVKVaUFIlIiWU0GLinaRXuaVoFYz6GtAqiWbNmHDhwgHnz5lGtWjVH+c8//0x2dvZf1m9Xx48fh3dkTM+GlHN3YdfJNPpM3chLX+/ibMZf1xeRwqfhszxo+ExE8mP//v00bdqUWrVqsX37dipWrJivemcyspj440GW/HYSAB93F57rVo+B7Wrh5qLvqiK3SsNnIiJOcvLkSfz9/WnSpEm+EyKAAB8P3u/bnCX/aEfT6r5kZFt4a8V+uk9exy8HTussNREnUU9RHtRTJCL5denSJTIyMqhatSoAly9f5oUXXuCf//xnviZj22x2vtl5kndWHiD10tXNHjvX9+eVXg2pG+BTqLGLlDZafVYIlBSJlAxXzFbueG8NAL++2AVPN5OTI4I33niDV199ldDQUPbt25ev5fsAGVk5fPzLET7feJwcqx2T0cCjETWJubM+lbzdCjlqkdJBw2ciUmbZsXM6PZvT6dnYKR7f7+677z7uuusuxo4d60iI7HY7V65cuWE9Hw9XRt3TkFXPd+auRoFYbXbmbv6DO95dw6z1x3TQrEgRUE9RHtRTJFIyWG12DqSkAxBapTymYrTvj91udyRFP/zwA08++SRvvfUWgwcPzlf9TUdSeeOH/exPvnp/tSp7MbJHKN0bV8l375NIWaOeIhEps0xGA42r+dK4mm+xSoiAXInLzJkzSUlJ4cCBA/mu366uH/9+tgPv/K0Z/j7unDiXyZB5v/HQJ5v5LeFCYYQsUuappygP6ikSkdvJbDYza9YsHn74YSpVqgTA8ePH2bNnD/fee+9f9vxcyrYwc90xZq47SlbO1WG0nk2r8s+7GxBc2bvQ4xcpKTTRuhAoKRIpGXKsNr6LSwKgT8vqhXrMx+02YMAAvvzyS55//nkmTZqUrzopaVlMij3I1ztPYreDq8nAoxHBDOtaF79y7oUcsUjxp+EzESmzcqw2XvpmNy99s7vQj/m4nex2OzVr1sTb25tHH33UUW6z3fgeqvh68M6DzflxeEc61/cnx2pnzqYTdH5nDR/9fJjL2ZbCDl2kVFNSJCIlltFgoEsDf7o08C/0Yz5uJ4PBwJtvvklSUhJhYWGO8kmTJtG1a1e2bt16w/qhVcrzxeA2fPVkBE2r+3LZbGVS7CE6v/srX24+oZVqIrdIw2d50PCZiBQ1i8VCrVq1SEpKYvbs2QwaNChf9Ww2Oyt+T+bdlQf541wmADUrefH8XfW4r3n1YjcBXaQwaU5RIVBSJCLOkJCQwCeffMK4ceNwcXEBYPPmzWRlZXHHHXfccEK22WJj4fYEPvr5CKmXrh4w2yDQh5e6N6BbwwAt45cyQUlRIVBSJCLFgd1up23btmzbto0pU6YwbNiwv6yTabYwe+MJPll7lIysq3OMWtaswItRDWhXp7KSIynVNNFaRMqsK2Yrd7y7hjveXcMVs9XZ4dx22dnZhIeHU6FCBR566CFHeUZGxnUnZXu5uTC0S13W/7MLQzrXwcPVSFzCRR6dtZVHPt3CjhPniyp8kRJHSZGIlFh27Jw4l8mJc5nF5piP28nDw4OpU6dy8uRJAgMDHeXDhw+nWbNmrF279rp1K3i5MbJHKOv+2YVB7WrhZjKy5dh5HvxkMwM/38auxItFcAciJYuGz/Kg4TORksFqsxP3n92dW9asWCYmFV++fJng4GDOnTvHli1biIiIyFe9UxevMOWXI3y9IxGL7erbftfQAGLurEezGhUKMWKRoqM5RYVASZGIFGcXL15k2bJlDBw40FE2Y8YMzp07xzPPPEOFChWuW/ePc5f56OcjLI07yX9yI+5sGEDMnfVpUt23kCMXKVxKigqBkiIRKUmysrIICQkhJSWFL774ggEDBvxlneOpl5ny82G+i09yJEfdQgN4tls9WgRVKNyARQqJkqJCoKRIpGSwWG2s3HsagO6NA3EpQcd83E4Wi4VFixbx5Zdfsnz5ctzc3ADYtm0brq6utGzZ8rp1j569xJSfD7N81ylHctS5vj/PdatHWHDFoghf5LZRUlQIlBSJlAyZZguNXl0JwL5x3fFyc3FyRMVL+/bt2bRpE59++ilPPvnkDa89nnqZj385wnfxSVj/kx21r1uZYV3q0bZ2JS3llxJBS/JFpMwyGgxEhFQiIqRSiTrmoyhkZWVRq1YtvLy86Nmzp6P87NmzZGZmXnN9iJ837/dtzi8vdCY6PAgXo4GNR87xyKdbePCTzaw5cAZ9h5bSTj1FeVBPkYiUFhcvXsw18fqJJ57gu+++Y9q0aURHR1+33skLmcxcd4yF2xMdZ6k1rlaeZ+6oy91NqpSJlX5S8mj4rBAoKRKR0shisdC8eXP27dvHpk2biIyMdJSbTKY8h8jOZGTx2frjzNvyB5f/s0FmrcpePN25Dg+0qo67i6lI70HkRjR8JiIi+eLi4sLu3btZvXo1bdu2dZS/9957hIeH88MPP1xTJ8DHg1H3NGTjyK4M71aPCl6unDiXyahv99Bx4hpmrD1KRlZOUd6GSKFRT1Ee1FMkUjJk5Vi5f9omAJY+0w4PV/Va3Cy73U5oaCiHDh3K13L+y9kWFm5PZNb6YySnZQHg4+5Cv4iaPN4+hCq+HkURtkie1FMkImWWzW5nf3I6+5PTsen73S0xGAxs3LiR9957j759+zrKly5dyr333ssvv/yS63pvdxee6BDC2pe68M6DzagbUI6MbAsz1h2j4zu/8MLiXRxMySjq2xC5LdRTlAf1FImUDFabnU1HUwFoV8dPk39voy5duvDrr78yevRo3nzzzeteZ7PZWXPwDDPWHmPbfx0226m+P3/vGEKHun5azi9FpsT3FE2bNo2QkBA8PDwICwtj/fr11702OTmZfv360aBBA4xGIzExMddcM2fOHAwGwzWPrKysQrwLEXEGk9FAx3r+dKznr4ToNvvkk094/vnneeqppxxlu3bt4uGHH851EK3RaKBbw0AWD4lk6TPt6NGkCkYDrDt0lv6fbePuyetZvCORbIvVGbchclOcmhQtWrSImJgYRo8eTVxcHB07dqRHjx4kJCTkeX12djb+/v6MHj2a5s2bX7fd8uXLk5ycnOvh4aFxbhGR/GrQoAGTJk2iZs2ajrLp06ezaNEipk+fnmedljUrMv2xMH59sQuD2tXCy83EwdMZ/POb3bR/ew0fxB7iTIa+oErx5dThs4iICFq1apXrf7CGDRvSp08fJkyYcMO6d9xxBy1atGDy5Mm5yufMmUNMTAwXL17MdxzZ2dlkZ2c7nqenpxMUFKThM5FizmK1se7wWQA61fMvs8d8FJX4+HhmzJjBI488QqdOnQBITU1l2LBhPP7440RFReUaKku7ksPCbQnM2XTCMSnbzWSkV/OqDG4fogNo5bYrscNnZrOZnTt3EhUVlas8KiqKTZs2FajtS5cuERwcTI0aNejVqxdxcXE3vH7ChAn4+vo6HkFBQQX6/SJSNMxWG4Pn7GDwnB2YrTZnh1PqtWjRgunTpzsSIoB58+axaNEi/vWvf10zd8jX05WnO9dh3T+7MOWRlrSsWQGz1ca3vyXRa8oGHpy+ie93nSJH/+2kmHBaUpSamorVaiUwMDBXeWBgICkpKbfcbmhoKHPmzGH58uUsWLAADw8P2rdvz+HDh69bZ9SoUaSlpTkeiYmJt/z7RaToGA0GmtXwpVkNXx3z4SR33XUXw4YNY/jw4Y4yi8XCww8/zPz588nJycHVZOTe5tVY+kx7lj7TjvuaV8PFaGDHHxd4dkEcHSb+wkc/H+ZsRvYNfpNI4XPa8NmpU6eoXr16rl1VAd566y2+/PJLDhw4cMP61xs++182m41WrVrRqVMnPvroo3zFptVnIiK3bsWKFfTs2RM/Pz+SkpJwc3O75prT6Vl8tTWB+VsTSL10NRlyNRno0aQq/SODCQ+uqFVrctMK+vnttCOl/fz8MJlM1/QKnTlz5preo4IwGo20bt36hj1FIiJy+zRr1ozXXnsNd3f3XAnRwIEDadCgAUOGDCGwUiVG3FWfYV3q8uPvyczZdIK4hIss33WK5btOEVrFh/6RwfRpUR1vd6d9VEkZ47R/aW5uboSFhREbG8v999/vKI+NjaV379637ffY7Xbi4+Np2rTpbWtTRESur0aNGowdOzZX2ZEjR5g7dy5Go5HHH3/cUe7mYqR3i+r0blGdPSfTmLflD5btSuJASgajl/7OhBUH6NOyGo9GBNOwqnrupXA5Nf0eMWIE/fv3Jzw8nMjISGbOnElCQgJDhgwBrs71SUpKYu7cuY468fHxwNXJ1GfPniU+Ph43NzcaNWoEwOuvv07btm2pV68e6enpfPTRR8THxzN16tQivz8RKVxZOVYenbUVgK+ejNAxH8VYlSpV+Pzzzzl06BBVq1Z1lD/zzDNcvHiRkSNH0qxZMyY+2Ix/3dOQr3cm8tXWBI6nXmbelgTmbUmgZc0KPBoRTK9mVfXfWgqF03e0njZtGu+88w7Jyck0adKEDz74wLGyYdCgQZw4cYJff/3VcX1eY8zBwcGcOHECgOeff55vv/2WlJQUfH19admyJWPHjs01b+mvaE6RSMmQabbQ6NWVAOwb1x0vNw2zlCSZmZkEBgZy6dIlNmzYQPv27YGr26S4ublht8PmY+eYvzWBlXtTsNiuflz5eLhwf8vqPNy6Jo2q6T1a/l9BP7+dnhQVR0qKREoGi9XGzwfOANAtNED7FJUwdrudHTt2sHz5csaNG+f40vvmm2/y2WefMXbsWAYOHAjAmYwsvt5xkoXbE0g8f8XRRrMavjzcuib3Nq+Kj4erU+5Dig8lRYVASZGIiPNERESwbds2Zs+ezaBBgwC4cuUKJ0+epE6dumw6eo4F2xNYtTeFHOvVjzBPVxP3NK1K3/AatAmppJVrZZSSokKgpEhExHkyMzP597//Tffu3fH1vbrr9ddff03fvn154IEHWLJkCQDnLmXz7W9JLNyewNGzlx31a1X24qHwIO5vWZ1qFTydcg/iHCV2Sb6ISEFZbXa2Hb96MnubkEo6FLaU8PLyom/fvrnKDh48iMlkon79+o6ySt5uWPetYtYD3TlvrMDXOxL5ftcpTpzL5N2VB3lv1UHa1/Hjb2HVubtxVTzdNDlbbkw9RXlQT5FIyaCJ1mXL2bNnsdvtBAQEALBr1y5atGiBp6cn586dw9PTk0yzhR92J/PNzpNs/U/CDFDO3YV7mlbh/pY1iAiphFEJdKmkniIRKbMMGKgXUM7xs5Ru/v7+uZ5nZWXRpUsXKlWqhKfn1WEyLzcXNs//gCYVK/Ji/35sTLay5LeTJJ6/wuIdJ1m84yTVK3jSu0U1HmhVnboBPs64FSmm1FOUB/UUiYiUHFarFZPp6tBYWloaAQEBmM1m9u7dS6NGjbDZ7Kzbl8iK/Rf48fcUMrItjrpNqpenT4vq3Nu8GoHlPZx1C3KbqKdIRETKtD8TIgBXV1emT5/Oli1baNiwIQBGo4HvZ3/IokWLeH3cmwSGR7H0tyTWHjrL70np/J6Uzlsr9hNZuzJ9WlSne5Mq+HpqeX9ZpJ6iPKinSESkdGnevDm7d+9myZIlPPDAAwAcPH6Sj+Z9R6J3fXafyXFc62Yy0qm+P/e1qMadDQM0V60EUU+RiJRZWTlWnvxiBwCzBobr6Ae5rq1bt/LLL7/QuXNnR9n6n39i2qvPEhkZyfp/r2b5rlMsi0/i0OlLrN5/mtX7T+PpaqJrwwDubVaVOxoE6N9YKaekSERKLJvdzoYjqY6fRa7Hw8ODe+65J1fZn+dm3nPPPQRV8mJol7oM6RRCRLuO+AQ3xty0N0mXrfywO5kfdifj5WaiW8NAejatyh0N/JUglUIaPsuDhs9ESgaL1ca/dycD0KtZVR3zIbfEYrHg4nK1j2DTpk20b9+eChUqcObMGfalXOaHPcl8HbuZVKsHJq+rm0l6uZnoEhrAPU2uJkje7upjKA60o3UhUFIkIlI2paens2LFCs6dO8fQoUMd5R06dGDTpk08PHISf5RvRtLF/z9/zd3FSOf6/vRoWoWuoYGapO1ESooKgZIiERH5U05ODm3btuW3337jjz/+ICgoiF0n0/ho7jf88O0i7LXb41WnNQAuRgORdSoT1bgKUY0Ctcy/iGmitYiUWVabnd+T0gBoUt1Xx3xIoXB1dWXnzp2kpKRQpUoVAFoEVcAtcQdnfltNvxa1adW1Liv3pnAwJYPVv65n3YF6vPKdC82DKhDVKJC7GgVSL6CcDqot5tRTlAf1FImUDDrmQ5xp69atfPfdd/Ts2ZMOHToA8MvWXXRr2wK3chWoMmQ2BtP/D6UFV/bizoaBdGsYQOtalXDVHLjbTj1FIlJmGTBQ/T+noOuYDylqERERRERE5CrLuZiCn58fTZs2ZeErd7N6/xli96Ww9OPXOWexcKT1/Xy2IQgfDxc61/enW8MA7qgfQEVvNyfdhfw39RTlQT1FIiJyq2w2G6mpqY6Da3NycqhcuTIZGRk8OmEB+3Iqc/6ymZzzSVgupuAZ1JiwulXp0sCfLqEBNKpaXsNst0gTrQuBkiIREbldLBYLsbGxrFu3jrfeegs7BuITL/LPkaP4ZeEMvBt3wa/XC47r/b1NdG1Yjc4N/Glf10+r2W6Chs9ERESKMRcXF3r06EGPHj0cZWHBFbmreS2Obg7muX9EExjehDUHzrJ21xF2ThrE79UasvCh13BxdaNlUAU61/enY31/mmpBQaFST1Ee1FMkUjJk5Vh5dkEcAFMeaakdhqXEsdvt2Gw2x6G2Cxd/wyPRDxEQXI+mz33KkTOXAEjb+i1Yc6gSdiddWzehUz0/OtTzd8ypk6vUUyQiZZbNbid232nHzyIljcFgcCREANEP/Y1mTfZy7tw5OnbsyMkLmaw9eJanPx3M5fNncKvWgB92V+aH3clY0s/ib7tA9y4duKNxEJG1K+PrpaG2glBSJCIllqvJyIQHmjp+FinpDAYDjRo1cjyvUdGL6PDqnB87hrVr1xLz2gC2n7zCusNnWbdkKfG/fMbBnyNY+LdXMBqgaXVfwqp7cUfjIMJrVdQ2FTdJw2d50PCZiIgUd+PfeY9J779Pyx79sDW9l6NnL2PLySbxw4dxrVSdGo+9TXj9mrStU5m2tSvRqmbFUj/ErNVnhUBJkYiIlAR2ux2LxYKrqyvJaVf44rtYRg3qjWv5ylQdMsextP/ixgVYzyUSfs/D3Nu9G21DKtGyZkU83UpXkqSkqBAoKRIpGWw2O0fOXp2IWte/HEatyhHh9OnTHD9+nKr1mrLxyDm2Hj/HrBEPkZl8FL/eI/EOvbr7tj3jLJ7H1tC+Qyce/VsvwmpWKvFzkjTRWkTKrCyLlagP1gE65kPkT4GBgQQGBgIQXNmbfhE16RP4Kd+v+oX6nfqwP83I1mPnObJnNwk/zeXEnh38nFEFgwEaBPrgm7qHyKb1ub9bW2pWLlvntekdRERKtEo6HkHkL3Xp0oUuXbo4ntvtdpassDHVdBIq1sRe2YsT5zLZn5zGyQ9fZnH2ZSYOnEzN+o0JC65IXR8rTauVp3OL+ri5lN5FDRo+y4OGz0REpKw5m5HNr7uPMnLoEyQdO0T1f8zGarg65+ji+nmkbVpIhda96fr4P2lVswIta1akgZ8bdapWdnLk/0/DZyIiIlJg/j7uPNS+EQ/Fb8Zut5OVY2PXyYvs/OMCU7Zkk2YwYKxYnZ1/XGDnHxewZsZz8uP+eAYE02/CV7QK8adFUAWaVvfFx6Nkzk1SUiQiIiK5GAwGPN1MtK1dmba1KzO0y7ekp6dz4txlDp+38lvCBWJjV3PSbiMnJ4fVB8+z+uB5AM6tmIzxYiLdHn2WPvf1pGl1XxpWLV8itgPQ8FkeNHwmUjJk5Vh5ecluACb+rVmJeNMVKU2O/pHIhl2Hya4QTHziRXYlprHtnf5YLpwi4KHX8awdBoAl5TCX1sygUXhH/vHSaJpW9yW0is9t/39Ww2ciUmbZ7HaWxZ8CcOxsLSJFp05wEHWCg3KV7ej5M8tXr8c9pBVHLljZfTKN40kHSEs4QLxLOV757ncAgit7sfalLnk16zROn0I+bdo0QkJC8PDwICwsjPXr11/32uTkZPr160eDBg0wGo3ExMTked2SJUto1KgR7u7uNGrUiKVLlxZS9CLiTK4mI6/0asQrvRrpmA+RYiK8aSjjnv87o/uEMfvxNuwYcyexH73EyHc/4dEnhtC5vj+Vvd1oWKX4jcQ4tado0aJFxMTEMG3aNNq3b8+MGTPo0aMH+/bto2bNmtdcn52djb+/P6NHj+aDDz7Is83NmzcTHR3NG2+8wf3338/SpUvp27cvGzZsICIiorBvSUSKkKvJyBMdQpwdhojcgMFgIKxhHcIa1nGU2e12ruRYnRhV3pw6pygiIoJWrVoxffp0R1nDhg3p06cPEyZMuGHdO+64gxYtWjB58uRc5dHR0aSnp/Pjjz86yu6++24qVqzIggUL8mwrOzub7Oxsx/P09HSCgoI0p0hERKQEKeicIqf1N5vNZnbu3ElUVFSu8qioKDZt2nTL7W7evPmaNrt3737DNidMmICvr6/jERQUdN1rRaT4sNnsJJ7PJPF8Jjab1oyISME4LSlKTU3FarU6tiL/U2BgICkpKbfcbkpKyk23OWrUKNLS0hyPxMTEW/79IlJ0sixWOr6zho7vrCHLUvy64kWkZHH66rP/PVPFbrcX+JyVm23T3d0dd3f3Av1OEXEOTy3DF5HbxGlJkZ+fHyaT6ZoenDNnzlzT03MzqlSpctvbFJHiycvNhf1v3O3sMESklHDa8JmbmxthYWHExsbmKo+NjaVdu3a33G5kZOQ1ba5atapAbYqIiEjp59ThsxEjRtC/f3/Cw8OJjIxk5syZJCQkMGTIEODqXJ+kpCTmzp3rqBMfHw/ApUuXOHv2LPHx8bi5udGoUSMAhg8fTqdOnZg4cSK9e/dm2bJlrF69mg0bNhT5/YmIiEjJ4dSkKDo6mnPnzjFu3DiSk5Np0qQJK1asIDg4GLi6WWNCQkKuOi1btnT8vHPnTubPn09wcDAnTpwAoF27dixcuJAxY8bwyiuvUKdOHRYtWqQ9ikRKoWyLldeW7QXg9d6NcXfR/CIRuXU6+ywPOvtMpGTINFto9OpKAPaN646Xm9PXjoiIE+nsMxEps1yMRl6Mqu/4WUSkIJQUiUiJ5eZiZFjXes4OQ0RKCX21EhEREUE9RSJSgtntds5fNgNQydutwBu/ikjZpqRIREqsKzlWwt5cDWiitYgUnN5B8vDngrz09HQnRyIiN5JptmDLzgSu/v9qUVIkUqb9+bl9qwvrtSQ/DydPniQoKMjZYYiIiMgtSExMpEaNGjddT0lRHmw2G6dOncLHx6dAcxTS09MJCgoiMTFR+x0VMf3tnUd/e+fR39559Ld3nv/+2/v4+JCRkUG1atUw3sI2HeprzoPRaLylDPN6ypcvr/9JnER/e+fR39559Ld3Hv3tnefPv72vr+8tt6El+SIiIiIoKRIREREBlBQVKnd3d1577TXc3d2dHUqZo7+98+hv7zz62zuP/vbOczv/9ppoLSIiIoJ6ikREREQAJUUiIiIigJIiEREREUBJkYiIiAigpKhQTZs2jZCQEDw8PAgLC2P9+vXODqnUmzBhAq1bt8bHx4eAgAD69OnDwYMHnR1WmTNhwgQMBgMxMTHODqVMSEpK4rHHHqNy5cp4eXnRokULdu7c6eywSj2LxcKYMWMICQnB09OT2rVrM27cOGw2m7NDK3XWrVvHvffeS7Vq1TAYDHz33Xe5Xrfb7YwdO5Zq1arh6enJHXfcwd69e2/69ygpKiSLFi0iJiaG0aNHExcXR8eOHenRowcJCQnODq1UW7t2LUOHDmXLli3ExsZisViIiori8uXLzg6tzNi+fTszZ86kWbNmzg6lTLhw4QLt27fH1dWVH3/8kX379vH+++9ToUIFZ4dW6k2cOJFPPvmEjz/+mP379/POO+/w7rvvMmXKFGeHVupcvnyZ5s2b8/HHH+f5+jvvvMOkSZP4+OOP2b59O1WqVOGuu+4iIyPj5n6RXQpFmzZt7EOGDMlVFhoaah85cqSTIiqbzpw5Ywfsa9eudXYoZUJGRoa9Xr169tjYWHvnzp3tw4cPd3ZIpd7LL79s79Chg7PDKJN69uxpHzx4cK6yBx54wP7YY485KaKyAbAvXbrU8dxms9mrVKlif/vttx1lWVlZdl9fX/snn3xyU22rp6gQmM1mdu7cSVRUVK7yqKgoNm3a5KSoyqa0tDQAKlWq5ORIyoahQ4fSs2dP7rzzTmeHUmYsX76c8PBwHnroIQICAmjZsiWffvqps8MqEzp06MDPP//MoUOHANi1axcbNmzgnnvucXJkZcvx48dJSUnJ9Znr7u5O586db/ozVwfCFoLU1FSsViuBgYG5ygMDA0lJSXFSVGWP3W5nxIgRdOjQgSZNmjg7nFJv4cKF/Pbbb2zfvt3ZoZQpx44dY/r06YwYMYJ//etfbNu2jeeeew53d3cGDBjg7PBKtZdffpm0tDRCQ0MxmUxYrVbeeustHnnkEWeHVqb8+bma12fuH3/8cVNtKSkqRAaDIddzu91+TZkUnmHDhrF79242bNjg7FBKvcTERIYPH86qVavw8PBwdjhlis1mIzw8nPHjxwPQsmVL9u7dy/Tp05UUFbJFixYxb9485s+fT+PGjYmPjycmJoZq1aoxcOBAZ4dX5tyOz1wlRYXAz88Pk8l0Ta/QmTNnrslkpXA8++yzLF++nHXr1lGjRg1nh1Pq7dy5kzNnzhAWFuYos1qtrFu3jo8//pjs7GxMJpMTIyy9qlatSqNGjXKVNWzYkCVLljgporLjpZdeYuTIkTz88MMANG3alD/++IMJEyYoKSpCVapUAa72GFWtWtVRfiufuZpTVAjc3NwICwsjNjY2V3lsbCzt2rVzUlRlg91uZ9iwYXz77bf88ssvhISEODukMqFbt27s2bOH+Ph4xyM8PJxHH32U+Ph4JUSFqH379tdsO3Ho0CGCg4OdFFHZkZmZidGY+2PUZDJpSX4RCwkJoUqVKrk+c81mM2vXrr3pz1z1FBWSESNG0L9/f8LDw4mMjGTmzJkkJCQwZMgQZ4dWqg0dOpT58+ezbNkyfHx8HL11vr6+eHp6Ojm60svHx+eaeVve3t5UrlxZ87kK2fPPP0+7du0YP348ffv2Zdu2bcycOZOZM2c6O7RS79577+Wtt96iZs2aNG7cmLi4OCZNmsTgwYOdHVqpc+nSJY4cOeJ4fvz4ceLj46lUqRI1a9YkJiaG8ePHU69ePerVq8f48ePx8vKiX79+N/eLbsfyOMnb1KlT7cHBwXY3Nzd7q1attCy8CAB5PmbPnu3s0MocLckvOt9//729SZMmdnd3d3toaKh95syZzg6pTEhPT7cPHz7cXrNmTbuHh4e9du3a9tGjR9uzs7OdHVqps2bNmjzf2wcOHGi3268uy3/ttdfsVapUsbu7u9s7depk37Nnz03/HoPdbrffjixOREREpCTTnCIRERERlBSJiIiIAEqKRERERAAlRSIiIiKAkiIRERERQEmRiIiICKCkSERERARQUiQiIiICKCkSkRLsjjvuICYmxtlhiEgpoaRIRMqsOXPmUKFCBWeHISLFhJIiEREREZQUiUgJZ7FYGDZsGBUqVKBy5cqMGTOGP490NJvN/POf/6R69ep4e3sTERHBr7/+CsCvv/7K448/TlpaGgaDAYPBwNixYwGYN28e4eHh+Pj4UKVKFfr168eZM2ecdIciUlSUFIlIifbFF1/g4uLC1q1b+eijj/jggw+YNWsWAI8//jgbN25k4cKF7N69m4ceeoi7776bw4cP065dOyZPnkz58uVJTk4mOTmZF198EbiaTL3xxhvs2rWL7777juPHjzNo0CAn3qWIFAWD/c+vVCIiJcwdd9zBmTNn2Lt3LwaDAYCRI0eyfPlyvv/+e+rVq8fJkyepVq2ao86dd95JmzZtGD9+PHPmzCEmJoaLFy/e8Pds376dNm3akJGRQbly5QrzlkTEidRTJCIlWtu2bR0JEUBkZCSHDx9mx44d2O126tevT7ly5RyPtWvXcvTo0Ru2GRcXR+/evQkODsbHx4c77rgDgISEhMK8FRFxMhdnByAiUlhMJhM7d+7EZDLlKr9Rb8/ly5eJiooiKiqKefPm4e/vT0JCAt27d8dsNhd2yCLiREqKRKRE27JlyzXP69WrR8uWLbFarZw5c4aOHTvmWdfNzQ2r1Zqr7MCBA6SmpvL2228TFBQEwI4dOwoneBEpVjR8JiIlWmJiIiNGjODgwYMsWLCAKVOmMHz4cOrXr8+jjz7KgAED+Pbbbzl+/Djbt29n4sSJrFixAoBatWpx6dIlfv75Z1JTU8nMzKRmzZq4ubkxZcoUjh07xvLly3njjTecfJciUhSUFIlIiTZgwACuXLlCmzZtGDp0KM8++yxPPfUUALNnz2bAgAG88MILNGjQgPvuu4+tW7c6eoDatWvHkCFDiI6Oxt/fn3feeQd/f3/mzJnD119/TaNGjXj77bd57733nHmLIlJEtPpMREREBPUUiYiIiABKikREREQAJUUiIiIigJIiEREREUBJkYiIiAigpEhEREQEUFIkIiIiAigpEhEREQGUFImIiIgASopEREREACVFIiIiIgD8H7swXXySHk4IAAAAAElFTkSuQmCC", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a fine grid of points to select from (happens automatically without user control in RecursiveInterp class)\n", "alphas = np.arange(betas[0], betas[-1] + 0.05, 0.1)\n", "\n", "# Define keyword arguments to be passed to the factory_state method for creating new state information\n", "# (formerly would be arguments to get_data)\n", "state_kws = {\"order\": 1, \"nrep\": 100, \"rep_dim\": \"rep\"}\n", "\n", "states_recurse, info_recurse = adaptive_interp.train_recursive(\n", " alphas=alphas,\n", " factory_state=adaptive_interp.factory_state_idealgas,\n", " factory_statecollection=xtrap.InterpModel,\n", " state_kws=state_kws,\n", " predict_kws={\"order\": 1},\n", " reduce_dim=\"rep\",\n", " alpha_tol=0.1,\n", " tol=0.003,\n", " callback=adaptive_interp.callback_plot_progress,\n", ")" ] }, { "cell_type": "markdown", "id": "21", "metadata": {}, "source": [ "The other training option, {func}`train_iterative`, also adds states as long as the relative error is greater than `tol`, but selects new states based on a different rule. A new state is also inserted at an alpha value from `alphas` that is at least `alpha_tol` away from existing states and has a maximum uncertainty. The difference from the recursive strategy is that the point is chosen globally from all alphas rather than choosing a new point for each interval between current points.\n", "\n", "Note that if you want similar behavior as above (and you probably do), then should pass a piecewise model, like {class}`~thermoextrap.models.InterpModelPiecewise`. Otherwise, the {class}`~thermoextrap.models.InterpModel` class will build a model using all points and derivatives to fit a single polynomial rather than a piecewise one. With the recursive strategy, piecewise polynomials are naturally used as a result of considering each interval separately." ] }, { "cell_type": "code", "execution_count": 13, "id": "22", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "depth: 0\n", "alphas: [0.1, 9.6]\n", "alpha_new: 4.6\n" ] }, { "data": { "image/png": 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", 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UymQy4eZaBwsLC3KunGfJnnP8vO+80bFERESKjMlsNuv2or9JSUnB0dGR5ORkHBwcjI5jmOzsbKKjo9l82YEv/zhBZTsrfg3oQp0qFYyOJiIicoO7PX9rpEj+kY2NDe3bt2dkt8a0ca1CamYOoxbrNn0RESmbVBTJ/2RtacF7D9fmys+fsjXyALP+OGF0JBERkXvOyugAUjpMfv8dUg5uJiv1Ml9Ur4Nvw+p41a9mdCwREZF7RiNFcks+++wz7r//fv49fBy5eWZGLo4i+eo1o2OJiIjcMyqK5JbUq1ePsLAw5rz+BPWqVSQ26SrvLt+P5umLiEhZoaJIbktlO2tmPN0Wc+pF1uw9zZI9Z42OJCIick9oTpHcttN7/uDi969j2aQLH1a0x9OtGo1qVjI6loiIyF3RSJHctkqVKnE1PRW75D/JuHqV14MjybyWa3QsERGRu6KiSG5b9+7d+fXXX4nevZ3qjpU4FJfCJ+uOGB1LRETkrhheFM2ePRt3d3fs7Ozw9PQkLCzslj63detWrKysaNOmzQ3vLVu2DA8PD2xtbfHw8GDFihX3OLX06NGD2tUq8dmTrQGYv+0MoYcuGJxKRETkzhlaFIWEhBAQEMC4ceOIjIykc+fO9OrVi5iYmJt+Ljk5mcGDB/Pwww/f8N727dvx9/dn0KBBREdHM2jQIPr378/OnTuL6jDKtQeb1qRl8nbS9m/krZ+iiUu+anQkERGRO2Los886duxIu3btmDNnTn5b8+bN6devH4GBgf/4uaeeeorGjRtjaWnJypUriYqKyn/P39+flJQU1q1bl9/Ws2dPqlatSnBwcKH9ZWVlkZWVlf86JSUFV1fXcv/ss1vx008/8eSTT2JpY4fLC7Pp1KYZi17yxtLCZHQ0EREpZ0rts8+ys7OJiIjAz8+vQLufnx/btm37x8/NmzePkydP8sEHHxT6/vbt22/os0ePHjftMzAwEEdHx/zN1dX1No6kfHviiSd45JFHGPfBRBycnNl5+jJf/q7HgIiISOljWFGUmJhIbm4uzs7OBdqdnZ2Jj48v9DPHjx9nzJgxLFy4ECurwlcTiI+Pv60+AcaOHUtycnL+dvas1t65VRYWFvz8889MePctPn7i+vyiL347xs5TlwxOJiIicnsMn2htMhW8zGI2m29oA8jNzWXAgAFMmDCBJk2a3JM+/2Jra4uDg0OBTW7dX7/t423r0q+NC1lX4hm5OIor6dkGJxMREbl1hhVFTk5OWFpa3jCCk5CQcMNID0Bqaip79uxhxIgRWFlZYWVlxcSJE4mOjsbKyorff/8dABcXl1vuU+6t8+fPs2vG61wKeZfzCYm8uTRajwEREZFSw7CiyMbGBk9PT0JDQwu0h4aG4uvre8P+Dg4O7N+/n6ioqPxt2LBhNG3alKioKDp27AiAj4/PDX1u2LCh0D7l3qpcuTIJCRewyrmK+fKf/HYkgW/DTxsdS0RE5JYY+piP0aNHM2jQILy8vPDx8SEoKIiYmBiGDRsGXJ/rExsby4IFC7CwsKBly5YFPl+zZk3s7OwKtI8cOZIuXbowefJk+vbty6pVq9i4cSPh4eHFemzlUeXKlfnpp59wdHQkPN7Ee6sOMvnXI3Rwr0brulWMjiciInJThhZF/v7+XLp0iYkTJxIXF0fLli1Zu3Ytbm5uAMTFxf3PNYv+ztfXl8WLFzN+/Hjee+89GjZsSEhISP5IkhStvxbTrF/fzLaTl1h3IJ4RiyL5+fX7cbCzNjaciIjITRi6TlFJdbfrHMh12/dE0vflMVR46FUebevKl0+3vemEdxERkbtxt+dvQ0eKpOzKysri330f5eL581S1r8kvlk/RqaETAzrWMzqaiIhIoQy/JV/KJltbW7744gt69uzJ2FEjAJiw5iCH41IMTiYiIlI4XT4rhC6f3TtmsxmzGYZ8v5s/jl6kgZM9q1+7n0q2GqQUEZF7q9Q+5kPKB5PJhIWFian92+BwNZ6TF9MYv2K/1i8SEZESR0WRFIugmZ9z8MuhZET/ysqo8yzZo0epiIhIyaKiSIqFra0teXl5NLVKBOCD1Qc5Gp9qcCoREZH/o6JIisXIkSNZv349W1YH80CTGmRey+PVhRGkZ+UYHU1ERARQUSTFxMLCAj8/PywsTHze/z6cHWw5eTGd91Ye0PwiEREpEVQUSbGztzLjdnQJV49tY3lkrOYXiYhIiaCiSIrdnDlzWLrgG9J/m01eVgbvr9L6RSIiYjwVRVLsRowYQe/evVm88Ecebu1GVk4ery7cS2rmNaOjiYhIOabFGwuhxRuLz5X0bHrPCON8ciaPtq7FTD0fTURE7pAWb5RSraq9DYGPNiI34SQ/74vjx50xRkcSEZFySkWRGOr48eM83/dBUlZ9RG76FT5ac4j955KNjiUiIuWQiiIxVN26dbG3t6eaQyU6uliRnZvHKwsjSM7Q/CIRESleKorEUBUqVGDVqlVERkby7eh/Ua9aRc5ducobS6PIy9N0NxERKT4qisRwDRo0oEqVKjhWsGb2M+2wtjSx8XACQWGnjI4mIiLliIoiKVHO7d9OzrK3yc1I5tP1R9l56pLRkUREpJxQUSQlRk5ODqNGjeLM0YPUPLmW3DwzI4IjSUjNNDqaiIiUAyqKpMSwsrIiJCSEkSNHEhr8FU2cK3ExNYvXgyPJyc0zOp6IiJRxKoqkRGndujXTp0+nmkMlZj/jib2NJTtOXWZq6DGjo4mISBmnokhKrEY1K/FIxZPkXk1hzqaTbDgYb3QkEREpw1QUSYn1/vvv89nYEVTY9hVmcx5vLInmTGK60bFERKSMUlEkJda//vUv7O3tGdTXD696VUnNymHYjxFczc41OpqIiJRBVkYHEPkn9913H6dPn6ZGjRpcSMmk94wwjsSnMm7lfqY+eZ8eHCsiIveURoqkRKtRowYAzg52fOHfBrIzWL43loV6cKyIiNxjKoqkVEhMTOSj1wZhu+lzzHm5TFhzkMiYK0bHEhGRMkRFkZQKiYmJhIeHc/ZINJ6VkrmWa+bVhXtJTMsyOpqIiJQRKoqkVGjWrBnBwcHs3LmT799+igY17IlLzuS1RVrYUURE7g0VRVJq9OnTh1atWlHZzpqvB3pS0caS7acu8emGo0ZHExGRMkBFkZRKFmkJ1Imehzknm683n2Ld/jijI4mISCmnokhKnZycHHr06MHG1UtwPbUagDeXRnMiIdXgZCIiUpoZXhTNnj0bd3d37Ozs8PT0JCws7B/3DQ8Pp1OnTlSvXp0KFSrQrFkzpk2bVmCf+fPnYzKZbtgyM/Wk9bLCysqKWbNm0alTJ36cNgHvBtVIz85l6A8RpGZeMzqeiIiUUoYWRSEhIQQEBDBu3DgiIyPp3LkzvXr1Iiam8DVo7O3tGTFiBFu2bOHw4cOMHz+e8ePHExQUVGA/BwcH4uLiCmx2dnbFcUhSTHr06EFYWBj13erx5YB21HK049TFdEYviSYvz2x0PBERKYVMZrPZsDNIx44dadeuHXPmzMlva968Of369SMwMPCW+njiiSewt7fnhx9+AK6PFAUEBJCUlHTHuVJSUnB0dCQ5ORkHB4c77keKz8Kf/+D9Py6Ra12BN7o34bWHGxsdSUREitndnr8NGynKzs4mIiICPz+/Au1+fn5s27btlvqIjIxk27ZtPPDAAwXa09LScHNzo27dujz66KNERkbetJ+srCxSUlIKbFJ6LFy4kOef6EHVPUGYzXl8vvEYfxxJMDqWiIiUMoYVRYmJieTm5uLs7Fyg3dnZmfj4+Jt+tm7dutja2uLl5cXw4cN58cUX899r1qwZ8+fPZ/Xq1QQHB2NnZ0enTp04fvz4P/YXGBiIo6Nj/ubq6np3ByfFqmnTplhYWFCveiX6t3XBbIbXF0dyJjHd6GgiIlKKGP5A2L8/1NNsNv/PB32GhYWRlpbGjh07GDNmDI0aNeLpp58GwNvbG29v7/x9O3XqRLt27Zg5cyYzZswotL+xY8cyevTo/NcpKSkqjEoRLy8vdu3aRatWrcjOzePk5R3sjUni5R8iWP6qL/a2hv9nLiIipYBhI0VOTk5YWlreMCqUkJBww+jR37m7u9OqVSteeuklRo0axYcffviP+1pYWNC+ffubjhTZ2tri4OBQYJPSpXXr1phMJmytLJkz0JPqdiaOXkjlrZ+iMXDanIiIlCKGFUU2NjZ4enoSGhpaoD00NBRfX99b7sdsNpOV9c/PvzKbzURFRVGrVq07ziqlR25uLl98MpH0n8ZimZfF2v3xzN500uhYIiJSChh6XWH06NEMGjQILy8vfHx8CAoKIiYmhmHDhgHXL2vFxsayYMECAGbNmkW9evVo1qwZcH3dos8++4zXXnstv88JEybg7e1N48aNSUlJYcaMGURFRTFr1qziP0ApdhcvXmTu3LlcvHiR4f6x/JzegM82HMWjlgMPNqtpdDwRESnBDC2K/P39uXTpEhMnTiQuLo6WLVuydu1a3NzcAIiLiyuwZlFeXh5jx47l9OnTWFlZ0bBhQz755BNefvnl/H2SkpIYOnQo8fHxODo60rZtW7Zs2UKHDh2K/fik+Lm4uBASEkJ8fDxPP/00Div2s2hnDK8vjmTV8E40qFHJ6IgiIlJCGbpOUUmldYrKjuycPAZ8s4M9f16hUc1KrHjVl8p21kbHEhGRIlBq1ykSKQ7Xsq5SKWI+VfKSOZGQxqgQrXgtIiKFU1EkZdorr7zC999+Q95v07G2NLHx8AWmbTxmdCwRESmBVBRJmTZx4kRatGjBrOlT+eSJ1gDM/P0Ev+yLMziZiIiUNFrVTsq0+vXrs2/fPiwsrtf/h+NSmBt+mjeXRlPfqSItajsanFBEREoKjRRJmfdXQQTwbBtHmlnEcfVaLkMXRHAp7Z/XuBIRkfJFRZGUG8eOHcO7Ywd2ff0OziQRm3SVVxbuJTsnz+hoIiJSAqgoknKjXr161K1bF+eaNZn0eAsq2Vqx6/RlPlxzUI8CERERzSmS8sPOzo5Vq1ZRsWJFHBwc+MLhAi8u2MOinTE0c6nMYJ/6RkcUEREDaaRIyhUXF5f8Bb0ebu7McO/rj/6YsOYQ4ccTjYwmIiIGU1Ek5dbKlSuZMPAhWmYdIjfPzKsLIzidmG50LBERMYiKIim3wsPDSUtLw3QijLaujqRk5jDk+90kX71mdDQRETGAiiIptyZPnszs2bNZvnwZXw/2orajHacupjNi0V5ycnVHmohIeaOiSMotS0tLXnnlFaytralZ2Y6gwV7YWVkQdjyR//xy2Oh4IiJSzFQUiQBms5n1i+dSJ/pbzGYz87ed4YcdfxodS0REipGKIhHgyJEjjBkzht9/XsYjVa4/F+3D1QcJO37R4GQiIlJcVBSJAM2bN2fWrFlMnz6dWe8M4Ym2df7/HWl7OZGQZnQ8EREpBiazlvK9QUpKCo6OjiQnJ+evaSPlS1ZOLs98s5M9f17BrXpFVr7aiar2NkbHEhGRm7jb87dGikQKYWHOo9bRZdQwpfDnpQxe/jFCz0gTESnjVBSJFGLUqFF8+cXnZPwyGXtrE7tOX2bs8v16RpqISBmmokikEG+//TaNGjVi8qT/MGugF5YWJpbtPcfsTSeNjiYiIkVED4QVKUS9evU4dOgQ1tbWAHz4WAveW3mAT9cfpV61ivS5r7bBCUVE5F7TSJHIP/irIALo3aQyPhYnAHhjaTQRf14xKpaIiBQRFUUi/8OVK1fw9fVlyeTRNMk8SnZOHkMX7OHs5Qyjo4mIyD2kokjkf6hSpQqdO3emdu3afDSwKy1qO3ApPZvn5u0iOUMPjxURKSu0TlEhtE6R/N21a9e4fPkyzs7OxCdn0m/WVuJTMvFuUI0FL3TExkr/vhARMZrWKRIpBtbW1jg7OwPg4mjHh12rUcGcyY5TlxmzbJ9u1RcRKQNUFIncpm3btjHwse5UDPsCC3MOyyNjmb7xuNGxRETkLt3VLfkZGRnExMSQnZ1doL1169Z3FUqkJKtQoQJZWVlY5Wbxbjd3/vPbWb747Tiu1Sryb8+6RscTEZE7dEdF0cWLF3n++edZt25doe/n5ubeVSiRkqxt27b89ttvtGjRAnt7e67k2TDrj5OMWbYPFwc77m/sZHREERG5A3d0+SwgIIArV66wY8cOKlSowK+//sr3339P48aNWb169b3OKFLidOjQAXt7ewDe6N6Uh+tZk5NnZtiPERw6n2JwOhERuRN3VBT9/vvvTJs2jfbt22NhYYGbmxsDBw5kypQpBAYG3uuMIiXawoU/suiNvtRNOUhaVg7Pz9/F+aSrRscSEZHbdEdFUXp6OjVr1gSgWrVqXLx4EYBWrVqxd+/ee5dOpBQIDw8nMzOT+mmHaOJciQspWdfXMLqqNYxEREqTOyqKmjZtytGjRwFo06YNX3/9NbGxsXz11VfUqlXrtvqaPXs27u7u2NnZ4enpSVhY2D/uGx4eTqdOnahevToVKlSgWbNmTJs27Yb9li1bhoeHB7a2tnh4eLBixYrbO0CR2zBr1iy+/fZbFsz/jnnPd8DZwZZjF9J4+Yc9ZOVofp2ISGlxx3OK4uLiAPjggw/49ddfqVevHjNmzGDSpEm33E9ISAgBAQGMGzeOyMhIOnfuTK9evYiJiSl0f3t7e0aMGMGWLVs4fPgw48ePZ/z48QQFBeXvs337dvz9/Rk0aBDR0dEMGjSI/v37s3Pnzjs5VJH/ycrKihdeeAELCwvqVKnAvOc6UNGUw45Tl3lz6T7y8rSGkYhIaXBPVrTOyMjgyJEj1KtXDyenW7/zpmPHjrRr1445c+bktzVv3px+/frd8tykJ554Ant7e3744QcA/P39SUlJKXBnXM+ePalatSrBwcG31KdWtJY7ZTabeffdd1myfBV5j3yA2bYSL3V2Z1xvD6OjiYiUeYasaD1x4kQyMv7vYZgVK1akXbt22NvbM3HixFvqIzs7m4iICPz8/Aq0+/n5sW3btlvqIzIykm3btvHAAw/kt23fvv2GPnv06HHTPrOyskhJSSmwidyJixcv8v3333Pq2GH6Vr8AwDdhp/lmyymDk4mIyP9yR0XRhAkTSEtLu6E9IyODCRMm3FIfiYmJ5Obm5j864S/Ozs7Ex8ff9LN169bF1tYWLy8vhg8fzosvvpj/Xnx8/G33GRgYiKOjY/7m6up6S8cg8nc1a9bk119/Zd68eUwf/zpjezUD4OO1h1kVFWtwOhERuZk7KorMZjMmk+mG9ujoaKpVq3Zbff29n3/q+7+FhYWxZ88evvrqK6ZPn37DZbHb7XPs2LEkJyfnb2fPnr2tYxD5b61bt+a5554DYGiXBjzr7YrZbObNpdGEHb9obDgREflHt7WiddWqVTGZTJhMJpo0aVKg0MjNzSUtLY1hw4bdUl9OTk5YWlreMIKTkJBww0jP37m7uwPXlwC4cOECH374IU8//TQALi4ut92nra0ttra2t5Rb5HZkZmYS+d17OFGVSx5PMuyHCEJe9qFlHUejo4mIyN/cVlE0ffp0zGYzL7zwAhMmTMDR8f/+YrexsaF+/fr4+PjcUl82NjZ4enoSGhrK448/nt8eGhpK3759bzmT2WwmKysr/7WPjw+hoaGMGjUqv23Dhg34+vrecp8i98rGjRtZs2Y1tra2dOvQmwNpFXlu3i5+GuZLfSd7o+OJiMh/ua2i6NlnnwWuj9R06tQJK6u7ep4so0ePZtCgQXh5eeHj40NQUBAxMTH5o01jx44lNjaWBQsWANfXg6lXrx7Nml2fpxEeHs5nn33Ga6+9lt/nyJEj6dKlC5MnT6Zv376sWrWKjRs3Eh4efldZRe5Enz59mD59Om3atKFtR1+e+noHh+JSGPTdTpYN86Wmg53REUVE5P+741vyT548ybx58zh58iRffPFF/gRTV1dXWrRoccv9zJ49mylTphAXF0fLli2ZNm0aXbp0AeC5557jzJkzbNq0CYCZM2fy9ddfc/r0aaysrGjYsCEvvfQSL7/8MhYW/zc96qeffmL8+PGcOnWKhg0b8vHHH/PEE0/ccibdki9FJSE1k3/P3krMlUyauVQm5GUfHCtYGx1LRKRMuNvz9x0VRZs3b6ZXr1506tQpfyHFBg0aMGXKFHbt2sVPP/1020FKEhVFUlTi4uLo+cijXG3Tn2znlnSoX40FQzpgZ21pdDQRkVLPkHWKxowZw3/+8x9CQ0OxsbHJb3/wwQfZvn37nXQpUi5MnjyZfVF7yd78DZVsTOw6c5kRi/aSk5tndDQRkXLvjoqi/fv3F5gc/ZcaNWpw6dKluw4lUlZNnjyZl156id83buC7572xtbJg4+EE3lm2X48DEREx2B0VRVWqVMl/9tl/i4yMpE6dOncdSqSssrW1JSgoiAYNGtDBvRpfDmiHhQmW7T3Hf345zD146o6IiNyhOyqKBgwYwDvvvEN8fDwmk4m8vDy2bt3Km2++yeDBg+91RpEyq3pmLObl73AtKZ7vtp5mxm8njI4kIlJu3VFR9PHHH1OvXj3q1KlDWloaHh4edO7cGV9fX8aPH3+vM4qUSWazmddee40zxw5S98RKAKZtPMa8raeNDSYiUk7d8S35AKdOnWLPnj2YTCbatm1Lo0aN7mU2w+juMyku58+fZ8yYMXz55Zd8tyue6RuPAzD1yfv4l2ddg9OJiJQud3v+vuPVF7/99lumTZvG8ePX/xJv3LgxAQEBBR7OKiI3V7t27fzFSUc+XJnkq9f4Luwkby/bRyU7K3q0cDE4oYhI+XFHl8/ee+89Ro4cSZ8+fVi6dClLly6lT58+jBo1SpfPRO6QyWSiWcZBspe/S3ZGKq8timTLMT1AVkSkuNzR5TMnJydmzpyZ/xDWvwQHB/Paa6+RmJh4zwIaQZfPxAgZGRk0btyY8+fP0/5fw0ho9Ch21hYseKEjHdyrGR1PRKTEM2TxxtzcXLy8vG5o9/T0JCcn5066FCn3KlasyPr16xk9ejSbF87gwaY1yLyWxwvzdxN9NsnoeCIiZd4dFUUDBw5kzpw5N7QHBQXxzDPP3HUokfKqZcuWTJ06lQq21swZ6Il3g2qkZlzl2Xm7OBKfYnQ8EZEy7ZYnWo8ePTr/zyaTiblz57Jhwwa8vb0B2LFjB2fPntU6RSL3iK2VBfXP/MLGFT9jfmw8A+fuYsnL3jSoUcnoaCIiZdItzyl68MEHb61Dk4nff//9rkIZTXOKpCSIjY2lRYsWJCcnc9/gD0iq1R4XBztCXvbGrbq90fFEREqcuz1/39U6RWWViiIpKXbt2sWuXbt4+rmXePqbHRy7kEadKhUIedmbulUrGh1PRKREUVFUBFQUSUmUkJpJ/1lhnEpIob5LNUJe9qaWYwWjY4mIlBiG3H0mIsWvqp0ldmEzSF45gTNxiTzzzU4SUjKNjiUiUmaoKBIpJU6cOMGOrWFknT+G49U4TiWmM2DuTi6mZhkdTUSkTFBRJFJKNG/enNDQUFauXMkvH7+Ii4MdJxLSGPDNDhLTVBiJiNwtFUUipUj79u3p2bMn9apXJHioN9UsMjgSE8+Ab3ZwSYWRiMhdUVEkUko5mDLJWDmBy0vGcfh0LM/M3anCSETkLqgoEimlEhISSLqciH1uGlWtrnEkPpVn5u7kcnq20dFEREol3ZJfCN2SL6XF0aNHyc3NxcapHk9/s4OLqVk0c6nMwhc7Ur2SrdHxRESKlW7JFynHmjZtioeHB41qViL4JW/s086x/8jx/AJJRERunYoikTLi2qWzxC0ex8VF73Dw8FGe/mYHCalax0hE5FapKBIpI6pWrUqdWrVo6u5KLRdnTiSk8VTQDi5ogUcRkVuiOUWF0JwiKa0uX75MXl4e6aYKPB20g/PJmbg72bPopY56JIiIlHmaUyQi+apVq4aTkxNu1e0JedkHu3O7ObhzE/5f7+Ds5Qyj44mIlGhWRgcQkaIRd+IAp5ZMIic3j+MVHOj/dR6LXvLG3cne6GgiIiWSRopEyqi2bdvy5JNP0qdvP5q3uo+45Ez6f72dYxdSjY4mIlIiaU5RITSnSMqKvLw8cnJySMk2M3DuTg7HpVC1ojU/vuhNyzqORscTEbmnNKdIRP6RhYUFNjY2OFWyZfFQb+z2L+fkyi946uutRPx52eh4IiIliooikXIi9vRxjv86n7SodVw8soeBc3cRdvyi0bFEREoMXT4rhC6fSVm1ZMkSDh89xona3Qk7noiNpQUznm5Lz5YuRkcTEblrpf7y2ezZs3F3d8fOzg5PT0/CwsL+cd/ly5fTvXt3atSogYODAz4+Pqxfv77APvPnz8dkMt2wZWZqATuR/v3788F745n7rBe9WrqQlZXJy0EbWRZxzuhoIiKGM7QoCgkJISAggHHjxhEZGUnnzp3p1asXMTExhe6/ZcsWunfvztq1a4mIiODBBx+kT58+REZGFtjPwcGBuLi4ApudnV1xHJJIqWBrZcn0/q2x2zqb2O9H8/qcn5m/9bTRsUREDGXoOkWff/45Q4YM4cUXXwRg+vTprF+/njlz5hAYGHjD/tOnTy/wetKkSaxatYo1a9bQtm3b/HaTyYSLy61fDsjKyiIr6/8enpmSknKbRyJS+iQnXcF05SxkJJGbfoUP1xzicsY1RnVrjMlkMjqeiEixM2ykKDs7m4iICPz8/Aq0+/n5sW3btlvqIy8vj9TUVKpVq1agPS0tDTc3N+rWrcujjz56w0jS3wUGBuLo6Ji/ubq63t7BiJRCNWvWJDw8nJ/XrGbskH8DMOO344xfeYDcPE01FJHyx7CiKDExkdzcXJydnQu0Ozs7Ex8ff0t9TJ06lfT0dPr375/f1qxZM+bPn8/q1asJDg7Gzs6OTp06cfz48X/sZ+zYsSQnJ+dvZ8+evbODEillnJyc6NmzJyO7Neajfi3JTb/CV199xWuL9pKVk2t0PBGRYmX4Yz7+PkxvNptvaeg+ODiYDz/8kFWrVlGzZs38dm9vb7y9vfNfd+rUiXbt2jFz5kxmzJhRaF+2trbY2tre4RGIlA3927owccinnDu0j0VXU0jOHM7Xg7yoZGv4XxMiIsXCsJEiJycnLC0tbxgVSkhIuGH06O9CQkIYMmQIS5YsoVu3bjfd18LCgvbt2990pEhErv/jYPhLz1PNqQY1Wj/I1hOXeCpoOxdTs/73h0VEygDDiiIbGxs8PT0JDQ0t0B4aGoqvr+8/fi44OJjnnnuORYsW0bt37//5PWazmaioKGrVqnXXmUXKuoCAAE6dOM6yMU9Q3d6GA7EpPD5rC6cuphkdTUSkyBl6S/7o0aOZO3cu3333HYcPH2bUqFHExMQwbNgw4Ppcn8GDB+fvHxwczODBg5k6dSre3t7Ex8cTHx9PcnJy/j4TJkxg/fr1nDp1iqioKIYMGUJUVFR+nyJyc46OjrSuW4Vlr/hSPes8Oz99gUfeX0BkzBWjo4mIFClDJwv4+/tz6dIlJk6cSFxcHC1btmTt2rW4ubkBEBcXV2DNoq+//pqcnByGDx/O8OHD89ufffZZ5s+fD0BSUhJDhw4lPj4eR0dH2rZty5YtW+jQoUOxHptIaVffyR7HA0vJuXyOmN9+4Gknd2YNaMfDzW9+eVtEpLTSYz4Kocd8iFyXnJzMG2+9TcZ9/dl2NhMLE3zUryXPdHQzOpqIyA1K/WM+RKTkcnR0ZG7Q13w/7EH6e9Ulzwyjp37PR6ujydNaRiJSxqgoEpH/ydrSgsn/ak2PyrEkLP2Qj4cPYNj8bWRe01pGIlJ2qCgSkVtiMpl4wsuNipUqYVvDjfVHrzDgmx1cStMt+yJSNqgoEpFb1qNHD/ZFRfLzom9xrGDN3pgkHp+9lZO6ZV9EygAVRSJyWxo2bEjnZrVY/mon6la1IzL4U3z7v8qWowlGRxMRuSsqikTkjjSqWYm37zOTFvUrCZsXMuCTYH7c8afRsURE7piKIhG5Y4/17MbX38yly8AArJwbMX7lASasOUiu7kwTkVJI6xQVQusUidwes9nM7E0n+XT9UXKvptLc+iI//WcYDnbWRkcTkXLkbs/fevy1iNw1k8nE8AcbUa+KLU/9qy+hp6Nof/o0676aSIMalYyOJyJyS3T5TETumR4tnOndqQ0W1rakVmlI31lb2aQJ2CJSSqgoEpF7xsbGhiU/fMfOiEh8vdqSmpnDC/N3Myv0ELpSLyIlnYoiEbnnvFo1Y9FL3jzdwZWsy3GMfKIzPV+bxNVsrYAtIiWXiiIRKRI2VhZMerwVLa5sJTftMptXLuTxWWHEXMowOpqISKE00VpEiozJZGJd8Fxec6tLOM05ciGdPl+GM/2pNjzYtKbR8URECtAt+YXQLfki9158cibDfowg6mwSafvW87h3c74ePwwLC5PR0USkjLjb87cun4lIsXBxtCPkZW8ernmVS+vnMPeDV+kzfi5JGdlGRxMRAVQUiUgxsrWyZM6Ix3jE/1nsm/pyILcWvWeEs+9cktHRRERUFIlI8bKxseGXRXMJX7+a+k72xCZd5V+zwnlnxkLdti8ihlJRJCKGaONWndUj7sfPw5mETQuYMnIg7fsNIS0rx+hoIlJOqSgSEcM4VrDmq4Ht6NSwOgB/mpzpMzOcA7HJBicTkfJIRZGIGMrCwoK1P84heF0YjTt243RiOk/M3sbMtXvJy8szOp6IlCMqikSkRHiq5/2sHdmZ7h7OZGZmMHpQXxp27Mbpc/FGRxORckJFkYiUGFUq2hA0yBN/13RykuI5eySaJ7/axvaTl4yOJiLlgBZvLIQWbxQxXsi6zXyyJporDg0xmeDlLg0JeLgRdjZaiF9ECqfFG0WkTPLv9QDh017lqfaumM0w/YcVODf0YN2WXUZHE5EySkWRiJRY9rZWfPKv1sx5pi0pm+eRcu44A0ZN4Mcdf2pNIxG551QUiUiJ16tVbXb8sYFGXfpR+YHnGb/yAM/O2018cqbR0USkDFFRJCKlQusm9Tn6x3I+eMITWysLthy7SMueAxjx4VTdui8i94SKIhEpNSwsTAy5351fXu9MnaunuLRjBbMmvMVTnywhMS3L6HgiUsqpKBKRUqdRzUr8/ukwHnvpLar4/JtdKZXxm7aFNdHnNddIRO6YiiIRKZVsbaxZFTSFsKXf0MylMpfTs3n1u800f6AvB078aXQ8ESmFVBSJSKnWso4jq0fcT0C3xiT9/i1Hw9bg3e1RVkbGatRIRG6L4UXR7NmzcXd3x87ODk9PT8LCwv5x3+XLl9O9e3dq1KiBg4MDPj4+rF+//ob9li1bhoeHB7a2tnh4eLBixYqiPAQRMZiNlQUB3ZqwYNpEHOs1o/IDLxAQEsUL83dzPumq0fFEpJQwtCgKCQkhICCAcePGERkZSefOnenVqxcxMTGF7r9lyxa6d+/O2rVriYiI4MEHH6RPnz5ERkbm77N9+3b8/f0ZNGgQ0dHRDBo0iP79+7Nz587iOiwRMcjj3XxJOHmAcc8+io2lBX8cvUjHF//Dc29/TE5OrtHxRKSEM/QxHx07dqRdu3bMmTMnv6158+b069ePwMDAW+qjRYsW+Pv78/777wPg7+9PSkoK69aty9+nZ8+eVK1aleDg4FvqU4/5ECn9TiSkMur7MNZ+8DR5V1PwHPQuiz8bQ6OalY2OJiJFpNQ+5iM7O5uIiAj8/PwKtPv5+bFt27Zb6iMvL4/U1FSqVauW37Z9+/Yb+uzRo8dN+8zKyiIlJaXAJiKlW6OalVke4MfTQwOoUNeDi84deOSLcKaFHiNLo0YiUgjDiqLExERyc3NxdnYu0O7s7Ex8fPwt9TF16lTS09Pp379/flt8fPxt9xkYGIijo2P+5urqehtHIiIllbW1FT9On8DR6F085FGL7Nw8pm88RsMH/s03P/1qdDwRKWEMn2htMpkKvDabzTe0FSY4OJgPP/yQkJAQataseVd9jh07luTk5Pzt7Nmzt3EEIlLSuVaz57vn2vPlgLZYnNpK7LaVvDygH6/P20JSRrbR8USkhLAy6oudnJywtLS8YQQnISHhhpGevwsJCWHIkCEsXbqUbt26FXjPxcXltvu0tbXF1tb2No9AREoTk8nEo61r4/H56/S7dIizuVVYfTSV8KmbefeR5vyrXZ1b+geZiJRdho0U2djY4OnpSWhoaIH20NBQfH19//FzwcHBPPfccyxatIjevXvf8L6Pj88NfW7YsOGmfYpI+dHAtRb7fl/Fhvmf08S5EpfTsxkZ9Ct12nQhdHvk/+5ARMous4EWL15stra2Nn/77bfmQ4cOmQMCAsz29vbmM2fOmM1ms3nMmDHmQYMG5e+/aNEis5WVlXnWrFnmuLi4/C0pKSl/n61bt5otLS3Nn3zyifnw4cPmTz75xGxlZWXesWPHLedKTk42A+bk5OR7d7AiUuJk5+Sa52w6Ya7UxNsMmCs2bG8OXHvYnJ51zehoInIH7vb8begt+XB98cYpU6YQFxdHy5YtmTZtGl26dAHgueee48yZM2zatAmArl27snnz5hv6ePbZZ5k/f37+659++onx48dz6tQpGjZsyMcff8wTTzxxy5l0S75I+RIWsZ+BLw4np/1ArKvVobajHeMeacYjrWvrkppIKXK352/Di6KSSEWRSPm04WA8E9YcIjbpKsk7lmJ/5QQ/zJ3Dg+1bGR1NRG5BqV2nSESkpPFr4cLG0Q/wsk8tUnYuI3bfVp7+z/d8su4I6Vk5RscTkSKmokhE5L9UsLFkbN92bPh9My16PoNts658tfkkD03dxLzfosjLyzM6oogUERVFIiKFeNinHfvX/sDcZ9tTr1pF4pMyePmpfjg39WTdtmij44lIEVBRJCLyD0wmE909nNkwqgv+DXLJSYrn8rmTvLzkMO/8tI+LqVlGRxSRe0gTrQuhidYiUpg9B47x8aKNROa5AVDJ1ooudjFMGjGAKpXtDU4nIppoLSJSTLxaNmHFpFdZ9ooP99V15NKfR5jz7lBq1W/MTzuOo39jipRuKopERG6Tp1s1VrzaiZfaV8e6cnUsazXjzZXH6P/1diJjrhgdT0TukC6fFUKXz0TkVl28ksxXvx1mYfQVMq/lkZeZhn3kQoKmfkxnL61vJFKcdPlMRMRANao68t6/vdn05oM86VmX5B1LOLJlDd0f7cfHvxwiOeOa0RFF5BZppKgQGikSkTu18rftDA94g2vN/KjYsD0Odla88kADnmxTE6eqjkbHEynTNFIkIlKC9HvYh3P7thLyn1dp6lyZlMwc3p8+l9qu9XnlvU/JzdO/Q0VKKhVFIiL3mMlk4sGmNVk7sjOfPXkfOUf+4Fp6EsGbonnkizBCD13QnWoiJZAunxVCl89E5F5Kzcjk1Q+mEmndkrQ8KwAa2STRrVYu7wwbhMlkMjihSNlwt+dvFUWFUFEkIkUhOeMaX285ybytZ/gzZAJXj++gRc9BLPpmBq3rVjE6nkippzlFIiKlhGNFa97u2YxNbz2AZ5vWWNhW5EodXx77citDF+zhwLnLuqwmYiAVRSIixczZoQJhS77m4LEz+Hf3xsIEGw5d4P6nRlDXw4uf1v1hdESRcklFkYiIQZrVq8Hn/m3YMKoLPT2cSI1cy/kjexketIFRIVGcuphmdESRckVzigqhOUUiYoQ/Ig7z1qQvuNioNyaTBRYmaGcVS9/7ajHwX49qQrbI/6A5RSIiZcSDns3Zs+wrfn6tC92a1yQ3L4/VX33M4Ccfo/vLH3BSI0ciRUpFkYhICdOqriNzn23PkiGeNG7rg4V9FY5VbEG3zzczYtFedh89S15entExRcocFUUiIiVUxya1ObhhMTuiDuPXtiFmM/y8L46ufZ+mumsjvl++zuiIImWKldEBRETk5to3cqF9IxcOnU/h858jmfdnNBmZaYz95RS/J+3i1a4N6eBeTXOORO6SJloXQhOtRaQk23v8HO/NWsThCi3461FqDifW41m7Ap998DbVq1c3NqCIQe72/K2RIhGRUqZd47r8Mv1tYi5l8PWWk4RsPcbBX+axPzONqLTKvP/aczzaujbWlpohIXI7NFJUCI0UiUhpcv5yGqMnf83aVcup+tg7mCwsqVOlAp0rX6SPZ306eXc0OqJIsdAt+SIi5VztapVYPPkNzu7dxNu9PHCqZMO5Kxl8PmEM9/t48/RbU0hIzTQ6pkiJp6JIRKSMcKxozfAHGxH+zkO837MBVV0bYbK1J/yaG/d/8gdv/xRNWPQx0tPTjY4qUiKpKBIRKWPsrC0Z8qAH53dv4KfNUbRvUpfs3DyW7DlHz6depFrNWnw08zs9fFbkb1QUiYiUUZYWJp7o2Ijlr3Zi2Su++DWtxrWE02RnpDIn6ip+07YQvCuGlPSrKpBE0ETrQmmitYiUVacSUvjPd6vYmVGD9OxcADK3L8TiXCSfTg7kmX/3MzagyF3QLfkiInLLGtR04Lsxg0jJvMaS3WeZF36KnVG/kZuSwOhFu9mWVY9nfevTvn5VLQYp5Y5GigqhkSIRKS9y88ws336YwJlzuVSvKyYLSwAcY3dgeXork95/l55+3QxOKXJrNFIkIiJ3zNLCxJOdPHiy0+ccjkthwfYzrIiM5chvS8iOO8ZzU+rzalZtBnrXo0GNSkbHFSlShk+0nj17Nu7u7tjZ2eHp6UlYWNg/7hsXF8eAAQNo2rQpFhYWBAQE3LDP/PnzMZlMN2yZmVqjQ0TkZprXciDwidbsGPsw7302mzqdn8S6+cN8t/U0D03dTM9359Klx2P89vsfRkcVKRKGFkUhISEEBAQwbtw4IiMj6dy5M7169SImJqbQ/bOysqhRowbjxo3jvvvu+8d+HRwciIuLK7DZ2dkV1WGIiJQpVSraMH7Aw8RsCmHBiO483KwmJhOEr15E2IY1PPXWFD7fcJTYpKtGRxW5pwydU9SxY0fatWvHnDlz8tuaN29Ov379CAwMvOlnu3btSps2bZg+fXqB9vnz5xMQEEBSUtIt58jKyiIrKyv/dUpKCq6urppTJCLy/529nMFnwRtYtOA7rJo9hG2txliYoEMNM+fXf807r79C796PGB1TyrlS+5iP7OxsIiIi8PPzK9Du5+fHtm3b7qrvtLQ03NzcqFu3Lo8++iiRkZE33T8wMBBHR8f8zdXV9a6+X0SkrHGtVpEvhvcjdutKvnmjPz4NqpNnhl9XhhC24WeeHjGGT9cfIeZShtFRRe6YYROtExMTyc3NxdnZuUC7s7Mz8fHxd9xvs2bNmD9/Pq1atSIlJYUvvviCTp06ER0dTePGjQv9zNixYxk9enT+679GikREpCAbKwsebV2bR1vX5uTFNGbWz2PRtXTMLs2Y9cdJZv1xEm+3ypxeMolhzz3DoGeexspK9/RI6WD4f6l/XwfDbDbf1doY3t7eeHt757/u1KkT7dq1Y+bMmcyYMaPQz9ja2mJra3vH3ykiUh41rFGJ6cP6MOXF3mw8fIHgXTGEn0jkt/XrSNy0nsi9EZyo1JqnOtanZR0HrXskJZ5hRZGTkxOWlpY3jAolJCTcMHp0NywsLGjfvj3Hjx+/Z32KiMj/sbGy4JFWtXikVS3OXs5g7q+VmZceR5rZloW7z7Fw9zmauVTm4spA/Lp48/ao16latarRsUVuYNicIhsbGzw9PQkNDS3QHhoaiq+v7z37HrPZTFRUFLVq1bpnfYqISOFcq1VkwoAunFk/j9VzPuax+2pjY2XBvn3R7N38K59M+g8jFkbwy744Mq/l6plrUqIYevls9OjRDBo0CC8vL3x8fAgKCiImJoZhw4YB1+f6xMbGsmDBgvzPREVFAdcnU1+8eJGoqChsbGzw8PAAYMKECXh7e9O4cWNSUlKYMWMGUVFRzJo1q9iPT0SkvLKwMHF/Yyfub+xEcsY1lu5wY07OOE6ePsPWc1lsXbQXBzsr8jZ9Sa3K1nw+aSKtWrU0OraUc4YWRf7+/ly6dImJEycSFxdHy5YtWbt2LW5ubsD1xRr/vmZR27Zt8/8cERHBokWLcHNz48yZMwAkJSUxdOhQ4uPjcXR0pG3btmzZsoUOHToU23GJiMj/caxozYsPefDiQ//hREIay/eeY0VkLLEJlzgb/isHc3MY3KAXA3tb07dNHWpXssDOzg4LC8PXF5ZyRs8+K4SefSYiUrRy88zsOJnIV8s3smH9Bip0+Hf+e5YRwSQf2MSEiR8x/KXnDUwppc3dnr9VFBVCRZGISPG5mp1L6OELrIqMZfOxi8TMHc61i2eo0W8MD/V6jD731eZ+t0pkpVyiSZMmRseVEkxFURFQUSQiYozL6dms3H2abxYuJdbBAwvr68ulZBzYyMVfptOpR1/WrlyKg521wUmlJLrb87fh6xSJiIj8pZq9DS90bcoLXcdz7koGv+yLY82+84RviQOTBQczHPD6aCNdmjjRq6UzJzct48kn+uHu7m50dCkDNFJUCI0UiYiULKcuprE47CDrDyXwZ9r1CdiZ5w5zYeFb2FSoxA9/7KNH67o4VtAIUnmmy2dFQEWRiEjJdexCKr/si2Ph6lAOrvkGy8pOOPUehbWliU6NnDi35gvaezQi4LVX7+liwFLyqSgqAiqKRERKPrPZzLELaayJjmXDoQscu5BGbnoS52YNBnMefSYt54kubfBr4UJlyxzs7e11m38Zp6KoCKgoEhEpfU4kpLFq9wm+XxjCmWOHqNZtaP575vAgko/s5P3/TGLUy8/rOWxllIqiIqCiSESkdIu5lMGGQ/GsPxjP7jOXiQ16mZwr56nZfyLNvO6ne3Nn7quWR/LpaB7t3ZsqVaoYHVnuARVFRUBFkYhI2XExNYt10TH8sOxnztg15JrZEoCU3au48vs3uLbswOyFK+jSpIZu9S/ldEu+iIjITdSobMvg+xsz+P5RpGflsOXYRUIPXWDp4UqkVa9HWs3WjFgUiZWFCc+6ldg18zW6P/wg06dMomLFikbHl2KkkaJCaKRIRKTsy8nNI+LPK4QejOOPY4mcvJjO1dORJCx5D8tK1eg0fgkPebjwULOa2CbH4O5Wjxo1ahgdW25Cl8+KgIoiEZHy50xiOmv2nCBkxRqOn7tIhVZ++e/Fz3+drITTjJ4yl4AXnsK1mkaQSiIVRUVARZGISPmWlpVD+PGL/H4kgd8OnGP/nNe5dvEMdUf8gGVFRxrUsKfmpX1cOrCFV198jscfe9ToyIKKoiKhokhERP5iNps5FJfCmp1H2Hshj4iYK+TmmUn8eSrpB/+gqs+T9HphNJ0b16BTw2pcPrkfX18frK01abu4aaK1iIhIETKZTLSo7UiLxzsCkHz1GttPJrLI8Xl+X+9CrlsHtp64xNYTl8i+cIq4+a9jX8WJb9fvoUvTmtRyrGDwEcitUlEkIiJyGxwrWNOzZS16thyEecxATl5MZ8uxi4SfSCT0zG4sKjiQV92dd5YfAKBBDXsu/TKNWlUrMenDcbRr5WHwEcg/0eWzQujymYiI3InsnDz2nLlEaORJ9ibksv9cEjnZmZz94inIzaHOS1/h2boFPg2dqJV3EYfcZLo/1JVKlSoZHb1M0OUzERGREsLGygLfRjXwbXT91v3kq9cIPxrPwkoz2b59O3lV6xB9Lpnoc8lc3hhEasRqGnTuy/Dxk/FuUJ12blWxMOdiY2Nj8JGUTxopKoRGikREpCjEJ2ey/VQi205cIiRoOud3r6PqA89h37wzAKa0RGKChtK4dQe+WbQMr/rVqWBjaXDq0kN3nxUBFUUiIlLUzGYzMZcy2HbyIrvOJLH95CVObF/HpZ+nYlO7KbUGTcXa0kSrOo6k7QjBtbo9o195kRZNGhodvcTS5TMREZFSyGQy4eZkj5uTPU93vF4knU7syE+/9STieCwxVnbEJWcS8edlzi2dT15mKusuOdGufQfa169GPatUHHOT6PlQFz2O5B5RUSQiIlICmEwmGtSoxNtPdQOuF0lnL18l7Oh5vr04nAORu7B2bsSB2BQOxKaQtDWY5PCF1GzzEIPf/Zz29avhVb8qTrZ5uspxh1QUiYiIlEAmk4l61SvyjG8jnvENBK7PSdp15jK7T18m5IA9aZWrk1OjKUsjzrE04hx5mWmcnTmAqrUb8OHcFfg0rU2rOo7YWWte0q3QnKJCaE6RiIiUBknp2ew5ncjecynsPnOZ7eGbiV34LlZVa1NnaBAA1pYm2L0Iu8zLPPvSKwx8rDsujnYGJy8ammhdBFQUiYhIaZSdk8fm6ONs3nuERLu67PnzColpWcQGDSXnynlq/PsDKjZsT21HO9ytU0jat5HePboxxP8xbK1K/2iSiqIioKJIRETKgr/mJX2/7Gd+2xyGdctenEwxk2eG1L2/cDl0Dnb12+I64GOa13agrWsVsk7s4AGvlnTz9cTKqnTNslFRVARUFImISFmVnpVD9LkkQlb9yroVIWRWcceiRQ8AzLk5nJ3ujzkni2avzaVj21bcV7cKdW0zaVHHEY+GbganvzkVRUVARZGIiJQXf40mRZ69Qlj0Cb4PfIOkuBhqD/sWk8kCgCu/f0vK7hXU7fo0fV96kzauVWhVxxH3KpbUrFbF2AP4L1qnSERERO7YX3e51atekb5t6vDZs3vIvJbDkfg0os8mEX02ieCN6aRg4qq9Cz/vi+PnfXHkpCQQ+9WLVK7dkJemhtCmXlVa1a1CU+dKVLApneVF6UwtIiIiRcbO2oo2rlVo41oFgM/913PuwmUOx6dy7PI1os8msWlDBJjzyMrJY1nkeZZFngcgcdUnWKZf5JEX3uDRXn60rlOFJi6VSsVEbhVFIiIi8j/Vda5GXedqdP+rYbAX+94fxI5Df5JWsRbR55LZH5vMuXOHyE27zB8nkti+4gAAOecOkB7+PS29uzJs1Du0quNIU5fKJa5QUlEkIiIid6R1E3daN3HPf52Xl8f2R7ew9vetVGjYnqOXstkfm8yf546Q9Odh9tpVZ9z/L5TqV6/IprceNCp6oSyMDjB79mzc3d2xs7PD09OTsLCwf9w3Li6OAQMG0LRpUywsLAgICCh0v2XLluHh4YGtrS0eHh6sWLGiiNKLiIjIXywsLOjUtgUfvzGU8f3a8sOQjkS+150NX47jnSlzeOaFl+jc2IkqFa1p5lLybmQydKQoJCSEgIAAZs+eTadOnfj666/p1asXhw4dol69ejfsn5WVRY0aNRg3bhzTpk0rtM/t27fj7+/PRx99xOOPP86KFSvo378/4eHhdOzYsagPSURERP6LyWSifctGtG/ZKL/NbDaTkZ1rYKrCGXpLfseOHWnXrh1z5szJb2vevDn9+vUjMDDwpp/t2rUrbdq0Yfr06QXa/f39SUlJYd26dfltPXv2pGrVqgQHBxfaV1ZWFllZWfmvU1JScHV11S35IiIipcjd3pJv2OWz7OxsIiIi8PPzK9Du5+fHtm3b7rjf7du339Bnjx49btpnYGAgjo6O+Zurq+sdf7+IiIiUToYVRYmJieTm5uLs7Fyg3dnZmfj4+DvuNz4+/rb7HDt2LMnJyfnb2bNn7/j7RUREpHQy/O4zk8lU4LXZbL6hraj7tLW1xdbW9q6+U0REREo3w0aKnJycsLS0vGEEJyEh4YaRntvh4uJyz/sUERGRss+wosjGxgZPT09CQ0MLtIeGhuLr63vH/fr4+NzQ54YNG+6qTxERESn7DL18Nnr0aAYNGoSXlxc+Pj4EBQURExPDsGHDgOtzfWJjY1mwYEH+Z6KiogBIS0vj4sWLREVFYWNjg4eHBwAjR46kS5cuTJ48mb59+7Jq1So2btxIeHh4sR+fiIiIlB6GFkX+/v5cunSJiRMnEhcXR8uWLVm7di1ubm7A9cUaY2JiCnymbdu2+X+OiIhg0aJFuLm5cebMGQB8fX1ZvHgx48eP57333qNhw4aEhIRojSIRERG5KUPXKSqp7nadAxERESl+pXadIhEREZGSREWRiIiICCqKRERERAAVRSIiIiKAiiIRERERoAQ85qMk+uuGvJSUFIOTiIiIyK3667x9pzfWqygqRGpqKgCurq4GJxEREZHblZqaiqOj421/TusUFSIvL4/z589TuXLlu3o4bUpKCq6urpw9e1brHRUz/fbG0W9vHP32xtFvb5z//u0rV65MamoqtWvXxsLi9mcIaaSoEBYWFtStW/ee9efg4KD/kxhEv71x9NsbR7+9cfTbG+ev3/5ORoj+oonWIiIiIqgoEhEREQFUFBUpW1tbPvjgA2xtbY2OUu7otzeOfnvj6Lc3jn5749zL314TrUVERETQSJGIiIgIoKJIREREBFBRJCIiIgKoKBIREREBVBQVqdmzZ+Pu7o6dnR2enp6EhYUZHanMCwwMpH379lSuXJmaNWvSr18/jh49anSscicwMBCTyURAQIDRUcqF2NhYBg4cSPXq1alYsSJt2rQhIiLC6FhlXk5ODuPHj8fd3Z0KFSrQoEEDJk6cSF5entHRypwtW7bQp08fateujclkYuXKlQXeN5vNfPjhh9SuXZsKFSrQtWtXDh48eNvfo6KoiISEhBAQEMC4ceOIjIykc+fO9OrVi5iYGKOjlWmbN29m+PDh7Nixg9DQUHJycvDz8yM9Pd3oaOXG7t27CQoKonXr1kZHKReuXLlCp06dsLa2Zt26dRw6dIipU6dSpUoVo6OVeZMnT+arr77iyy+/5PDhw0yZMoVPP/2UmTNnGh2tzElPT+e+++7jyy+/LPT9KVOm8Pnnn/Pll1+ye/duXFxc6N69e/6zTG+ZWYpEhw4dzMOGDSvQ1qxZM/OYMWMMSlQ+JSQkmAHz5s2bjY5SLqSmppobN25sDg0NNT/wwAPmkSNHGh2pzHvnnXfM999/v9ExyqXevXubX3jhhQJtTzzxhHngwIEGJSofAPOKFSvyX+fl5ZldXFzMn3zySX5bZmam2dHR0fzVV1/dVt8aKSoC2dnZRERE4OfnV6Ddz8+Pbdu2GZSqfEpOTgagWrVqBicpH4YPH07v3r3p1q2b0VHKjdWrV+Pl5cWTTz5JzZo1adu2Ld98843RscqF+++/n99++41jx44BEB0dTXh4OI888ojBycqX06dPEx8fX+Cca2trywMPPHDb51w9ELYIJCYmkpubi7Ozc4F2Z2dn4uPjDUpV/pjNZkaPHs39999Py5YtjY5T5i1evJi9e/eye/duo6OUK6dOnWLOnDmMHj2ad999l127dvH6669ja2vL4MGDjY5Xpr3zzjskJyfTrFkzLC0tyc3N5eOPP+bpp582Olq58td5tbBz7p9//nlbfakoKkImk6nAa7PZfEObFJ0RI0awb98+wsPDjY5S5p09e5aRI0eyYcMG7OzsjI5TruTl5eHl5cWkSZMAaNu2LQcPHmTOnDkqiopYSEgIP/74I4sWLaJFixZERUUREBBA7dq1efbZZ42OV+7ci3OuiqIi4OTkhKWl5Q2jQgkJCTdUslI0XnvtNVavXs2WLVuoW7eu0XHKvIiICBISEvD09Mxvy83NZcuWLXz55ZdkZWVhaWlpYMKyq1atWnh4eBRoa968OcuWLTMoUfnx1ltvMWbMGJ566ikAWrVqxZ9//klgYKCKomLk4uICXB8xqlWrVn77nZxzNaeoCNjY2ODp6UloaGiB9tDQUHx9fQ1KVT6YzWZGjBjB8uXL+f3333F3dzc6Urnw8MMPs3//fqKiovI3Ly8vnnnmGaKiolQQFaFOnTrdsOzEsWPHcHNzMyhR+ZGRkYGFRcHTqKWlpW7JL2bu7u64uLgUOOdmZ2ezefPm2z7naqSoiIwePZpBgwbh5eWFj48PQUFBxMTEMGzYMKOjlWnDhw9n0aJFrFq1isqVK+eP1jk6OlKhQgWD05VdlStXvmHelr29PdWrV9d8riI2atQofH19mTRpEv3792fXrl0EBQURFBRkdLQyr0+fPnz88cfUq1ePFi1aEBkZyeeff84LL7xgdLQyJy0tjRMnTuS/Pn36NFFRUVSrVo169eoREBDApEmTaNy4MY0bN2bSpElUrFiRAQMG3N4X3Yvb46Rws2bNMru5uZltbGzM7dq1023hxQAodJs3b57R0cod3ZJffNasWWNu2bKl2dbW1tysWTNzUFCQ0ZHKhZSUFPPIkSPN9erVM9vZ2ZkbNGhgHjdunDkrK8voaGXOH3/8Uejf7c8++6zZbL5+W/4HH3xgdnFxMdva2pq7dOli3r9//21/j8lsNpvvRRUnIiIiUpppTpGIiIgIKopEREREABVFIiIiIoCKIhERERFARZGIiIgIoKJIREREBFBRJCIiIgKoKBIREREBVBSJSCnWtWtXAgICjI4hImWEiiIRKbfmz59PlSpVjI4hIiWEiiIRERERVBSJSCmXk5PDiBEjqFKlCtWrV2f8+PH89UjH7Oxs3n77berUqYO9vT0dO3Zk06ZNAGzatInnn3+e5ORkTCYTJpOJDz/8EIAff/wRLy8vKleujIuLCwMGDCAhIcGgIxSR4qKiSERKte+//x4rKyt27tzJjBkzmDZtGnPnzgXg+eefZ+vWrSxevJh9+/bx5JNP0rNnT44fP46vry/Tp0/HwcGBuLg44uLiePPNN4HrxdRHH31EdHQ0K1eu5PTp0zz33HMGHqWIFAeT+a9/UomIlDJdu3YlISGBgwcPYjKZABgzZgyrV69mzZo1NG7cmHPnzlG7du38z3Tr1o0OHTowadIk5s+fT0BAAElJSTf9nt27d9OhQwdSU1OpVKlSUR6SiBhII0UiUqp5e3vnF0QAPj4+HD9+nD179mA2m2nSpAmVKlXK3zZv3szJkydv2mdkZCR9+/bFzc2NypUr07VrVwBiYmKK8lBExGBWRgcQESkqlpaWREREYGlpWaD9ZqM96enp+Pn54efnx48//kiNGjWIiYmhR48eZGdnF3VkETGQiiIRKdV27Nhxw+vGjRvTtm1bcnNzSUhIoHPnzoV+1sbGhtzc3AJtR44cITExkU8++QRXV1cA9uzZUzThRaRE0eUzESnVzp49y+jRozl69CjBwcHMnDmTkSNH0qRJE5555hkGDx7M8uXLOX36NLt372by5MmsXbsWgPr165OWlsZvv/1GYmIiGRkZ1KtXDxsbG2bOnMmpU6dYvXo1H330kcFHKSLFQUWRiJRqgwcP5urVq3To0IHhw4fz2muvMXToUADmzZvH4MGDeeONN2jatCmPPfYYO3fuzB8B8vX1ZdiwYfj7+1OjRg2mTJlCjRo1mD9/PkuXLsXDw4NPPvmEzz77zMhDFJFiorvPRERERNBIkYiIiAigokhEREQEUFEkIiIiAqgoEhEREQFUFImIiIgAKopEREREABVFIiIiIoCKIhERERFARZGIiIgIoKJIREREBFBRJCIiIgLA/wOSzQGnAoiCMwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "smodel_iter, info_iter = adaptive_interp.train_iterative(\n", " alphas=alphas,\n", " factory_state=adaptive_interp.factory_state_idealgas,\n", " # Note: for things to be similar between this and\n", " # recursive with InterpModel, must use InterpModelPiecewise\n", " factory_statecollection=xtrap.InterpModelPiecewise,\n", " state_kws=state_kws,\n", " predict_kws={\"order\": 1},\n", " reduce_dim=\"rep\",\n", " alpha_tol=0.1,\n", " tol=0.003,\n", " callback=adaptive_interp.callback_plot_progress,\n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "23", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Tags", "hide_input": false, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.8" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 5 }