{ "cells": [ { "cell_type": "markdown", "id": "touched-clinic", "metadata": {}, "source": [ "# Data Analysis\n", "\n", "Once the simulation is complete we enter the **Post Processing** stage where we _measure_ physical quantities and calculate transport coefficients.\n", "\n", "Sarkas was developed to make this process as simple and straightforward as possible.\n", "\n", "The YAML input file can be found at [input_file](https://raw.githubusercontent.com/murillo-group/sarkas/master/docs/documentation/Tutorial_NB/input_files/yukawa_mks_p3m.yaml) and this notebook at [notebook](https://raw.githubusercontent.com/murillo-group/sarkas/master/docs/documentation/Tutorial_NB/Post_Processing_Docs.ipynb)\n", "\n", "Let's import the needed packages." ] }, { "cell_type": "code", "execution_count": 1, "id": "unavailable-filing", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using matplotlib backend: Qt5Agg\n", "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "# Import the usual libraries\n", "%pylab\n", "%matplotlib inline\n", "import os\n", "\n", "plt.style.use('MSUstyle')\n", "\n", "# Import sarkas\n", "from sarkas.processes import PostProcess\n", "\n", "# Create the file path to the YAML input file\n", "input_file_name = os.path.join('input_files', 'yukawa_mks_p3m.yaml')" ] }, { "cell_type": "markdown", "id": "stopped-pavilion", "metadata": {}, "source": [ "Similar to the **Pre Processing** and **Simulation** stages three lines are enough. \n", "The `run` method will calculate everything that was included in the input YAML file. This was shown in the [Quickstart notebook](https://murillo-group.github.io/sarkas/documentation/Quickstart.html) where we calculated the Radial Distribution Function. In this notebook we want to calculate the Radial Distribution Function and the Static Structure Function. \n", "\n", "Each observable is an object and it is stored as an attribute of the PostProcess. The class names are\n", "\n", " `therm` = [Thermodynamics](../../api/tools_subpckg/sarkas.tools.observables.Thermodynamics.html)\n", " \n", " `rdf` = [Radial Distribution Function](../../api/tools_subpckg/sarkas.tools.observables.RadialDistributionFunction.html)\n", "\n", " `ssf` = [Static Structure Factor](../../api/tools_subpckg/sarkas.tools.observables.StaticStructureFactor.html)\n", "\n", "Other class names that we are not calculating here are:\n", "\n", " `dsf` = [Dynamic Structure Function](../../api/tools_subpckg/sarkas.tools.observables.DynamicStructureFunction.html)\n", "\n", " `ccf` = [Current Correlation Function](../../api/tools_subpckg/sarkas.tools.observables.CurrentCorrelationFunction.html)\n", "\n", " `ec` = [Electric Current](../../api/tools_subpckg/sarkas.tools.observables.ElectricCurrent.html)\n", "\n", " `vd` = [Velocity Distribution](../../api/tools_subpckg/sarkas.tools.observables.VelocityDistribution.html)\n", "\n", " `vacf` = [Velocity AutoCorrelation Function](../../api/tools_subpckg/sarkas.tools.observables.VelocityAutoCorrelationFunction.html)\n", "\n", " `diff_flux` = [Flux AutoCorrelation Function](../../api/tools_subpckg/sarkas.tools.observables.DiffusionFlux.html) ( mixtures only)\n", " \n", " `p_tensor` = [Pressure Tensor](../../api/tools_subpckg/sarkas.tools.observables.PressureTensor.html)\n", " \n", "You can find more information for each observable on the [Observable page](../../apit/tools_subpckg/sarkas.tools.observables.html) and our [Examples page](../../examples/examples.html) for more info on how to use them.\n", "\n", "Let's run the postprocessing" ] }, { "cell_type": "code", "execution_count": 2, "id": "monetary-heath", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "==================== Radial Distribution Function ==================== \n", "\n", "Data saved in: \n", " Simulations/yocp_pppm/PostProcessing/RadialDistributionFunction/Production/RadialDistributionFunction_yocp.h5\n", "Data accessible at: self.ra_values, self.dataframe\n", "\n", "No. bins = 500\n", "dr = 0.0110 a_ws = 1.2540e-13 [m]\n", "Maximum Distance (i.e. potential.rc)= 5.5100 a_ws = 6.2702e-11 [m]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "fcc35be451bf4e8ba852c8c6c0ba3dcd", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/1 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's initialize the class\n", "postproc = PostProcess(input_file_name)\n", "postproc.setup(read_yaml=True)\n", "postproc.run()" ] }, { "cell_type": "markdown", "id": "neural-empty", "metadata": {}, "source": [ "As you can see Sarkas calculated the Radial distribution function, the Static structure function, and produced a plot of the temperature and energy of the production phase. \n", "\n", "On the left most part of the figure above we reproduce some useful info. The main plots show the Temperature (left) and Total Energy (right) as a function of time. The temperature plot shows the thermostating temperature as a red dashed line. In the energy plot, instead, the red dashed line represents the average value. The yellow-orange line shows the moving average.\n", "\n", "The plots above the main plots indicate the percentage deviation from the desired temperature (left) and the percentage deviation of the total energy from its initial value. Also in these plots, the yellow-orange line shows the moving average of the percentage deviation.\n", "\n", "The bar plots to the right of the main plots instead are histograms of the Temperature and Total Energy, respectively. \n", "\n", "Note that the Temperature oscillates around its desired value and has only $\\sim \\pm 2$% deviation from it. Similarly the Total Energy oscillates around its average value and stays within a $\\sim -0.5$ % deviation. \n", "\n", "The bar plots are the next most important thing to notice. We want these to look like Maxwellian distributions. The orange line in the Temperature bar plot is a Maxwellian distribution with a centered at the desired Temperature (dashed red line) with a standard deviation obtained from the actual data. The orange line in the Energy bar plot is again a Maxwellian distribution centered at the dashed red line with a std equal to $k_BT$.\n", "\n", "## Thermodynamics\n", "We can create a similar plot for the equilibration phase by calling the method [temp_energy_plot](../../api/sarkas.tools.observables.html#sarkas.tools.observables.Thermodynamics.html#sarkas.tools.observables.Thermodynamics.temp_energy_plot)\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "municipal-logging", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "postproc.therm.temp_energy_plot(\n", " postproc, # Pass the Process class with simulation info\n", " phase = 'equilibration' # Choose the simulation phase\n", ")" ] }, { "cell_type": "markdown", "id": "remarkable-fraction", "metadata": {}, "source": [ "We find a figure similar as before. In this case, the most important thing to pay attention to is the temperature plot. We want to see that the Moving Average has approached the desired temperature. " ] }, { "cell_type": "markdown", "id": "opposite-handbook", "metadata": {}, "source": [ "## Radial Distribution Function\n", "The RDF has been already calculated and the data saved on disk in the directory displayed above. \n", "\n", "As mentioned in the output the data is stored in a [pandas.DataFrame()](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.html). Let's take a look" ] }, { "cell_type": "code", "execution_count": 4, "id": "rubber-compromise", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
DistanceH-H RDF
NaNMeanStd
00.000000e+000.000000NaN
11.881060e-130.000000NaN
23.135100e-130.000000NaN
34.389140e-130.000000NaN
45.643180e-130.000000NaN
............
4956.213768e-110.962613NaN
4966.226309e-110.962260NaN
4976.238849e-110.962209NaN
4986.251389e-110.962449NaN
4996.263930e-110.962889NaN
\n", "

500 rows × 3 columns

\n", "
" ], "text/plain": [ " Distance H-H RDF \n", " NaN Mean Std\n", "0 0.000000e+00 0.000000 NaN\n", "1 1.881060e-13 0.000000 NaN\n", "2 3.135100e-13 0.000000 NaN\n", "3 4.389140e-13 0.000000 NaN\n", "4 5.643180e-13 0.000000 NaN\n", ".. ... ... ..\n", "495 6.213768e-11 0.962613 NaN\n", "496 6.226309e-11 0.962260 NaN\n", "497 6.238849e-11 0.962209 NaN\n", "498 6.251389e-11 0.962449 NaN\n", "499 6.263930e-11 0.962889 NaN\n", "\n", "[500 rows x 3 columns]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "postproc.rdf.dataframe" ] }, { "cell_type": "markdown", "id": "neural-feelings", "metadata": {}, "source": [ "This is a `pandas.DataFrame` with `MultiIndex`. There are two rows of columns this means that columns of data are called via tuples, _e.g._ `postproc.rdf.dataframe[(\"H-H RDF\", \"Mean\")]`\n", "\n", "As you can see there are three columns. The first is the distance between two particles and it is given in the same units as provided in the YAML. The next two columns are the Mean and Std of the RDF calculated for each slice. The Std column is full of `NaN` because we only had one slice as such no std.\n", "\n", "Let's plot it!. This can be done by calling the [plot()](../../api/tools_subpckg/Observable_mthds/sarkas.tools.observables.Observable.plot.html) method of the [Observable](../../api/tools_subpckg/sarkas.tools.observables.Observable.html#sarkas.tools.observables.Observable) class. We reproduce here the docs for convenience \n", "\n", " def plot(self, scaling=None, acf=False, longitudinal=True, figname=None, show=False, **kwargs):\n", " \"\"\"\n", " Plot the observable by calling the pandas.DataFrame.plot() function and save the figure.\n", "\n", " Parameters\n", " ----------\n", " scaling : float, tuple\n", " Factor by which to rescale the x and y axis.\n", "\n", " acf : bool\n", " Flag for renormalizing the autocorrelation functions. Default= False\n", "\n", " longitudinal : bool\n", " Flag for longitudinal plot in case of CurrenCurrelationFunction. Default = True\n", "\n", " figname : str\n", " Name with which to save the file. It automatically saves it in the correct directory.\n", "\n", " show : bool\n", " Flag for prompting the plot to screen. Default=False\n", "\n", " **kwargs :\n", " Options to pass to matplotlib plotting method.\n", "\n", " Returns\n", " -------\n", " axes_handle : matplotlib.axes.Axes\n", " Axes. See `pandas` documentation for more info\n", "\n", " \"\"\"\n", "\n", "This method takes the first column of the dataframe as the $x$ axis and all the other columns as $y$ axis. As you can see this method is a wrapper for the `pandas.DataFrame.plot()` method, as such you can pass the same parameters. We have added other parameters specific for our plots. In particular the parameter `scaling` is used for rescaling the $x$ and $y$ axis. \n", "\n", "In the following we want to plot the RDF as a function of $r/a_{ws}$ and relabel the x-axis." ] }, { "cell_type": "code", "execution_count": 5, "id": "alike-rally", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAArsAAAHjCAYAAAAjVteFAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAACLpklEQVR4nO3dd3gUVdsG8HvTG2mkh5KQQEIvCb3XAAL6YcMKiAXRVxRREVEREfQVC6+Iiqhgxy5ShEQIJdRQI4SekJAeSO/J7vdHyLIhIcnCZmbPzP27rlyXTmZnns3NLA8nZ85odDqdDkRERERECmQhdwFERERERM2FzS4RERERKRabXSIiIiJSLDa7RERERKRYbHaJiIiISLGs5C6gPi1btkTr1m0kP29paSns7OwkPy/dHOYlHmYmFuYlFuYlFuZlepcuJSM7O7vOdrNsdlu3boOoqGjJz7thw3pMmDBJ8vPSzWFe4mFmYmFeYmFeYmFepjd27Mh6t3Mag4EOHULkLoGMwLzEw8zEwrzEwrzEwrykw2bXgKenl9wlkBGYl3iYmViYl1iYl1iYl3TY7BqIidkldwlkBOYlHmYmFuYlFuYlFuYlHTa7RERERKRYbHYNeHh4yl0CGYF5iYeZiYV5iYV5iYV5SUej0+l0chdxvR49esqyGgMREREB27dvw1dffYGMjHTodFq5yyGV02gs4O3tg+nTZ2D48BE33G/s2JGIjY2ts90slx6Ty6ZNGzB+/AS5y6AmYl7iYWZiYV5iMVVe27dvw2efrcQ777yDjh07wtra2gTV0fXy8vLg4uIidxlCqKioQHx8PF566SUAaLDhrQ+nMRjQavmvV5EwL/EwM7EwL7GYKq+vvvoC77zzDrp168ZGl8yCtbU1unXrhnfeeQdfffWF0a9ns2vAwoI/DpEwL/EwM7EwL7GYKq+MjHR07NjRJMciMqWOHTsiIyPd6Nfxk8wAf10nFuYlHmYmFuYlFlPlpdNpOaIrAU5hMJ61tfVNzSFns2tg3769cpdARmBe4mFmYmFeYmFeYikqKpK7BNVgs2sgOztL7hLICMxLPMxMLMxLLMxLLJWVlXKXoBpsdomIiEgoX3+9FjY21vD09EBOTk6t71VWVsLGxhqLFi2Sqbob27FjB2xsrGFvb4fz58/V+X5gYABmzHhEhsqUjc2ugYEDB8tdAhmBeYmHmYmFeYlFjXnl5eXh3XfflbsMo1VVVWHZsvfkLkM12OwayMrKlLsEMgLzEg8zEwvzEosa8xo9ejRWrvwY6enG36Evp9GjR+PXX3/BsWPH5C5FFdjsGjhz5rTcJZARmJd4mJlYmJdY1JjXyy/PBwC8/fbSBvc7ePAAxo6NgJubK1xdXRARMQYHDx6otc+MGY8gMDAAR44cwfDhw+Di4oxOnTpi1arP6hwvISEBDz/8EPz8fOHk5Ijw8DD88ccfTa77ySdnwdvbG6+//nqj+54+fRp33XUXPD094OzcAoMGDcSWLVtq7bNo0SLY2Fjj7NmzuP32SXBzc0VwcBAWL15cZ/3l7OxsPP30UwgIaAsnJ0d06dIFq1d/3uTaRcRml0gFqrRViE88j/0njqGkrFTucoiITMLHxwdPPjkLq1evxsWLF+vd5/jx4xg5ciRycnKwevUX+PLLr5Cfn4+RI0fWGVnNz8/Hww8/jPvvvx+//vobwsLC8fTTTyM6Olq/T3JyMgYNGojjx+Pw7rvL8Ntvv6Nnz56499578NdffzWpbnt7e8yZMwebNm3E/v37brhfamoqhg8fhri44/jww+X4/vsf4Orqittvn4S///67zv533303hg0bjl9++RWTJk3CokVv4Jtvvq71/oYOHYrNmzfj1VdfxZ9/rseECbfh6aefxscfr2hS7SLi44INdOzYSe4SyAjMq2l2HjmIxV99jLSrd2r379oTn7z0BiwtLCWvhZmJhXmJRa15vfDCC1i9+nMsXvwmPv98dZ3vv/XWW7C1tcWWLVvh6uoKABg1ahTatw/G4sWL8fPPP+v3LSgowEcffYRhw4YBAAYPHoyoqEisW/ejftubby6CTqfDP//8g5YtWwIAxowZg0uXLuGNNxZi4sSJTar70Ucfw6effopXX30VW7dG1rvP8uUfIicnBzt37kJwcDAAYNy4cejWrRtee+1VjB07ttb+zz33LKZOnQYAGDlyJLZv345169bpt3300UdISrqIw4ePoH379vr9cnNzsXjxYjzxxExYWSmvNeTIrgFnZy7wLBLm1bjC4mLM/+Q9pGVnwdfDEy0cHLE37ghW/bFOlnqYmViYl1jUmpe7uzueffY5fPvttzh9uu5Ujt27d2H8+PH6RhcAnJ2dMWHCBOzatbPWvg4ODvqmFgBsbW0RHByM5ORk/batW7di7NixcHFxQWVlpf5r9OgxOH78OPLz85tUt52dHRYseBXR0dH4559/6t1n165d6Nu3r77RBQBLS0vce++9OHbsWJ1zjRs3vtb/d+7cBUlJhrVvQZ8+fRAYGFin9suXL+PkyZNNql00bHYN7N/PBblFwrwa9/Wm35FXWIBeIZ3x94dfYtnslwEAn/+xDqky3MzCzMTCvMSi5rxmz54Nd3d3vPHGG3W+d+XKFfj6+tbZ7u3tU2fZMjc3tzr72draorT02vSvzMxMfPvtt3BwsK/1NW/eSwCAy5cvN6nmoqIi3H///ejUqTNee+3VevfJycmBj0/d2n18vKHT6erU7+7ufl3tNigzmLqWlZWFXbt21an9vvumAKj+WSmR8saqiQgAkJOfh683/w4AeObeh2FhYYEBXXti3ICh2LxnBz7+9Vu8NXOOzFUSEd06JycnvPjii3jxxRfx/PO1P9fc3d3rXa0hIyO9TnPYFC1btsTAgYPwwgtz6/2+n59fk49lYWGBhQsX4p577sb69evrfN/NzQ0ZGXVrT0/PgEajMbp+d3d39O/fH++//3693+/QIcSo44mCza4Bb28fuUsgIzCvhn351y8oKinBwO5hCAvtot/+n7sfQuT+GGzYtR2z7nwA/p7ektXEzMTCvMSi9rxmznwSy5cvr7PCweDBQ7B582YUFBSgRYsWAKrn5m7cuBFDhgw1+jxjxozBvn370alTZ9jb2990vdbW1gCAO+64A+Hh4Vi48PU6KycMGTIE//vf/5CYmIiAgAAA1Wv0/vzzz+jRo4f+/TS99gisXPkxWrduAy8vr5uuXTScxmAgLCxc7hLICMzrxnIL8vHD1g0AqptbQ629fTGu/xBodVqsi9woaV3MTCzMSyxqz8vW1havvPIKtm7dWmv7/PnzUVJSgoiIMfjtt9/w+++/Y+zYCBQXF+OVV14x+jyvv74Q+fl5GDFiOL7++mvs3LkTf/75J5YsWYLHHntUv19iYmKDT3JzcHDQ//eiRW/i33//RVpaWq19nnlmNlxdXTF+/Dj88MMP2LhxI/7v/+7A2bNnsGjRm0bXPnv2bHh6emH48OFYteozREdHY+PGjXj//fcxefJko48niiY1u0uXLkXv3r3h7OwMT09PTJw4Ef/++2+jr1u5ciUCAwNhZ2eHsLAw7Nq165YLbk6bNm2QuwQyAvO6sW2xe1FWUY7+XXuic7v2db5/f0T13cK/bt8i6VJkzEwszEsszAuYOnUagoNrf+Z169YNUVFRcHZ2xowZj2D69GlwcnLCP//8g+7duxt9jjZt2mDv3n36FRHGjRuL//znaezatRPDhg3X71dUVASgen5tffLy8vT/PWrUKAwdWneU2c/PD9u3R6Njx074z3+expQp9+LKlSv488/1iIiIMLp2FxcX7Ny5E+PGjcWyZctw223j8fjjj+Gvv9Zj2DDjR7lF0aRpDNHR0Zg1axZ69+4NnU6H1157DaNGjcLJkydvOF9k3bp1mD17NlauXIlBgwZh5cqVGDduHE6ePIk2bdqY9E0QUW1bD8QAACL61f/40C5BHdA1qAPizp9B1ME9mDhohJTlERHdkocfnoqHH55aZ7uVlVW9Kwr06dMXf/+9pc52Q1988WW926Oi6q6U0KpVK3z22aoGj7d37x54eHjgwQev/XZt6NChKC+vAFC72QWAyMioeo8TEhKCX3/9tcFzvfbaa3jttdfqbK/vPbm5uWHZsvdU9bjiJo3sbtmyBdOnT0eXLl3QtWtXfPPNN8jKykJMTMwNX/P+++9j2rRpeOyxx9CxY0d89NFH8PX1xSeffGKy4k2tZv4MiYF51S+vsAD7/z0KSwsLjAjrd8P97hg6GgCwYdd2qUpjZoJhXmJhXuZl586deOaZ2bWmKxjSaDQSV6ReN3WDWkFBAbRabb1LdABAeXk5Dh06hLlza9+pOGbMGOzZs6fe16xatQqrVlX/Kyk9PR0bNlTfldixYyc4O7vol1Tx9vZBWFi4/tc11tbWiIgYh5iYXfolOIYMGYqUlBScP38OANC5c1fY29sjNrb60YB+fv7o2rUbtmzZDACwtbXD6NFjYG/voD/vsGEjkJiYgMTEBABA9+49YGlpicOHDwEAWrdug5CQUERFVc8NcnR0wvDhI7B9+zYUFRUCAEaNGoPTp08hOTkJANCrVxiqqqpw7NhRAEBAQCACAgIRHb0NQPUaiUOGDEVk5Fb9UiEREeMQF3ccqakpAIDw8D4oKSnBiRNxAICgoGD4+/tj584dAKr/xTZw4GBs2bIZFRXV/3ocP34CDh2K1d/R2bdvf+Tn5yE+vvpfvx06hMDT0wsxMdXTTDw8PNGvX39s2rQBWq0WFhYWGD9+Avbt24vsqw8mGDhwMLKyMvWPp5Qyp507dyA/v/pfxIWFhczpupzW/PojKquqEOTtB1RpcebM6fpzKiuFlaUl9v17FN//9AOcHRybLaea66miogIbNqxnTmZ6PdX3uZeamsKcBMjJ0tJSf33dak7FxSUoLS2BjY0tCgoKAFSv7erk5IT8/HzodLqr2TmjpKRE/zN3dHSEVqtFSUnJ1dptYWNjjYKC6nNaWVnC0bH2MVxcXFBcXFzrGFVVVfqlvuzs7GBlZYXCwppjWMHR0bHWqKiLiwuKiopQWVkJoHplhsrKylrHsLS01E8rsLa2hoODg/4YGo0Gzs7OKCoqRGVlFQCgRQsnlJdXoKysDED1E88sLCxqHcPe3l6/zm3NMQoLC1FVVX2MNWvWory8TH8eBwd7ABoUFxcDAGxsbKDT6fTHsLCwQIsWLfQ9Vs3PuLS0FOXl5VeP4QBAh+Limp+xjepyKi0t0/dq119PN6LR1bwTI9xzzz04e/YsYmNjYWlZ9ylMqamp8Pf3x44dOzBkyBD99kWLFuG7776rd9FnQz169ERUVLSxZd2ymJhdGDiw/l/7kvlhXvVb+Pn/8Ov2LXjuvul4ZOJdDe777AeL8c/BvXjpocfx4Ljbm702ZiYW5iUWU+U1Zsxw7N9/wAQVUUOKigrh6OgkdxnC6du3D7Zurf83kmPHjkRsbGyd7UavxjBnzhzs3r0bv/76a72NrqHrh+h1Op1ZD9tfvzgzmTfmVb8DJ48DAPp06tbovqN6DwQA7DgizV9szEwszEsszEssNaPI1PyManafe+45/PDDD9i2bRvatWt3w/08PDxgaWlZZxHnzMxMeHtLt6YnkdqkX85CckYanOwdEBoQ1Oj+g7qHwUJjgdj4f1F49VdrREREStLkZnf27Nn4/vvvsW3bNoSGhja4r42NDcLCwhAZGVlre2RkJAYMGHBzlUrgZhaXJvkwr7oOnqye09grtDOsGvnNCwC4tnBGjw4dUVlViT1xh5u7PGYmGOYlFuYllhYtOIVBKk1qdp966il89dVX+OGHH+Dm5ob09HSkp6frJyKvWLGiTgM8Z84crFmzBqtXr0Z8fDxmz56N1NRUzJw50/TvwkRSUlLkLoGMwLzqOnomHgAQHtq1ya8Z0rM3AGD3sbrznEyNmYmFeYmFeYmlZgkyan5NanZXrlyJgoICjBw5Er6+vvqvZcuWAQCys7Pr3HR277334sMPP8TixYvRo0cP7N69G5s2bULbtm1N/y5MpLG7+ci8MK+6TiScBQB0Ce7Q5Nf07Vy9qPqh+BPNUpMhZiYW5iUW5iWWmpUeqPk1aemxxhZsWLhwIRYuXFhn+6xZszBr1qybKoyIjFNeUYHTFxOg0WjQsW3j83VrhAYEwd7WDkkZqcjKuQJPt/ofFENERCQio1djULLOnZv+q1+SH/Oq7WxyIiqrKtHWxx9ON1jEvD5Wlpbo0aEjAODQ6eYd3WVmYmFeYmFe1StStGrlj/Pnz8tdSqPs7e3lLsFslJWVISioHQ4dap7pdGx2DfAPnliYV20nEq4uUt8u2OjXhoV2AQAcPvWvSWu6HjMTC/MSC/MC3nnnbYwdOxZBQdW/3UpMTISNjXW9TdQdd9yOGTMeafB4o0aNxOzZz9TZ/uuvv8LGpuEn1o0aNRI2NtawsbGGo6MDQkND8Morr+inL1hYVLdgNfvY2FjDxcUZISEd8NBDDyEmZnet49W8l+u/7rzzzgbrqO8Ydna2SEpKqvW9nJwctGjhdMOfV3OytbXFnDlzMH/+/GY5PptdAzVPsCExMK/aTl6onq/buV17o1/bK7QzAOBwM4/sMjOxMC+xqD2v4uJifPnll5g+fbrcpehNnToVSUnJiI8/hSVLluLTTz/BokWLAED/pDAA+PTTT5GUlIzjx+Pw2WerYGNjjREjRuC9996rc8wNGzYiKSlZ//XFF18YXZe/vz/Wrl1ba9sPP3wv6/Kw9913P2JiYnDihOn/HmKzS6QQpy9WPzq0KevrXq9rUAdYW1nhTFIi8q8+TpSISCSbN2+GhYUFBgwYKHcpeg4ODvDx8UGbNm0wefJkjBw5ClFRkXX2c3FxhY+PD9q2bYthw4bhiy++xAsvvIgFC17BuXO1bzxs2dIdPj4++i9XV1ej63rooYfxzTdf17on66uvvsJDDz1cZ9+UlBQ88MAD8PLyhJeXJ26/fRLOnj2r//758+cxefJktG7dCq6uLujTpzc2btxY6xjt2wdjyZIlmDXrSbRs6Y7AwIA6jby7uzsGDBiAdevWGf1+GtOkG9TUws/PX+4SyAjM6xqtVovzKRcBAO1bGb/iiZ2NLbq064AjZ07i6JmTGNKzj6lLBMDMRMO8xNKcebW5bVizHbshSRujm7xvTMxu9OrVy2yf1Hrs2DHs3btHvyqVtXXD0yCee+45vPvuf7F+/XrMmTPHpLWMGzcWX375BbZv344RI0bgyJEjOH/+PO666y689dZi/X7FxcUYPXo0+vfvh6iof2BjY4MPPngf48aNxfHjcXBwcEBhYSHGjo3AG2+8AXt7e/z888+45567cejQ4VrL0v7vf8vx2muvYc6c57Fly9947rnnMHDgAPTr11+/T3h4b+zatdOk7xXgyG4tXbs2/nhVMh/M65rU7EyUlJXB09Udri2cb+oYNfN2Y5tx3i4zEwvzEova87p4MQk+Pj71fm/EiBFwc3Ot9bVly5YmHXf16tV1Xjt9+jSjXuvk5IjevcORlZWFOXOeB9D4HOuWLVvCy8sLCQkXGnwvu3fvvsERbszKygoPPPAg1qz5CgCwZs1XuPvuu+Ho6Fhrv59+WgdAh9Wrv0C3bt0QGhqKlSs/QWFhoX70tnv37nj88SfQtWtXBAcH4+WXX0bPnj3x22+/1TrWqFGjMWvWUwgODsZTTz2N4OBgbNu2vdY+fn6+uHjxotHvp9H3a/IjCmzLls2YMGGS3GVQEzGva84lV384BLe++XWse4V2BtYDh08137xdZiYW5iWW5szLmBFWuZSWlsDb26ve73399Tfo3LlzrW2zZj2p/+/vv/8eTz11banUv/7agEGDBgEA7r77bixY8Gqt127dugXPPvtsozXVvLagIB/vvrsMbm6umDx5MgAgPz8fLi4uDb5ep9PVGam+/r34+9/ciP60adPQp09vpKen48cff8Sff/5ZZ5/Dhw8jISEB7u5utbYXFxfjwoXqJryoqAhvvvkmNm3ahPT0NFRUVKC0tBRdu9ZeHeT6//f19UVWVmatbfb29igpKbmp99MQNrtECnDu0tVm9yamMNTo0aEjLDQWOHHhLErLy2BnY2uq8oiIml3Lli2Rk5Nb7/datfJHcHDtlWocDJZonDhxIvr0uTZ9y7CBdHFxqfPaY8eONakmw9euXbsW3bt3x9dfr8XDD09t9LXZ2dnIyspCYGC7Rt/LzQgJCUHPnj3x0EMPwsvLG/369UdiYmKtfbRaLbp3745vv/2uzuvd3avXZH/ppRexdetWvP32OwgODoaDgwMeeWQ6ysvLa+1//bQNjUYDrVZba9uVKznw8PC85fd2PU5jMGBrayd3CWQE5nXN2asju+1vYWS3hYMjglq1QWVVFU4lNs8alcxMLMxLLGrPq0ePnoiPj7+p17Zo0QLBwcH6r+ZYxs3a2hrz5r2EBQsWoLi4uNG5xR988AEsLCwwceJEk9dSY/r06dixY8cNV7Do2bMnzp8/Dw8Pj1o/n+DgYH2zGxMTgwceeBCTJ09Gt27d0KpVK/2or7FOnPgXPXv2uNm3c0Nsdg2MHj1G7hLICMzrGlOM7AJAt+AQAMCxs6cb2fPmMDOxMC+xqD2v0aNH49SpeFy+fFnuUm5oypT7oNFosHLlSjg7X7u/Ii8vF+np6UhKSkJ0dDRmzHgEy5a9i7feWmKSUdwbefDBh5CamoZnnqm7ljBQvRyYl5c37rxzMnbu3ImEhATs2rULL774gn5FhvbtO+DPP//AkSOHERcXh6lTp6K0tPSm6omJicGYMRE3/X5uhM2ugZ07d8hdAhmBeVXTarW4mJYCAAj0a31Lx6ppdo+fO3XLddWHmYmFeYlF7Xl17doVvXv3vnpTlXmysbHBk0/OwnvvLUNaWpp++8yZM9GmTWt07twJjz/+GMrKyhEV9Y/RqzC0bx/c6IMyDFlaWsLDwwNWVvXPanVwcMC2bdsQGBiI++6bgq5du2DGjEeQk5MDN7fqebzvvvsuvLy8MHz4cEyaNBF9+/bVz3c2xr59e5GXl2fUQzKainN2DeTn58ldAhmBeVXLzLmCsopyuDu7GvWY4Pp0a1+9TEzc+eYZ2WVmYmFeYmFewIIFr2LOnDl4/PEnYGlpiYCAAJSXV9S77x9/1L0h63pRUf/Uu/3OO++84XEbe+28efMwb9485OVV59XYcWo09F6A6pvGMjIyGhzhb+wY9X3f29sbq1ff+MEVbdu2xd9/117Z4vom/ezZ2msFA3V/Ph9+uBxz5jzfLFNIOLJLJLjkjFQAQBsf31s+Vju/1nCyd0BadhYyc8z3V4FERPWJiIjAk0/OxKVLl+QuRXLR0dHo06cPpkyZIncpRisrK0O3bt0we/bsZjk+m10Dw4aNkLsEMgLzqpaUUf2rsDbefrd8LAsLC3QKrJ4fFp9g+pvUmJlYmJdYmFe1p5/+j/7BDeasRYsWJj3e+PHjbziabO5sbW0xf/78ZhnVBdjs1pKYmCB3CWQE5lUtKb16ZLe1962P7ALXHjcc3wwrMjAzsTAvsTAvsZSXl8ldgmqw2TXADwqxMK9qyTUjuyaYxgAAoW2r13Q8ffHmlo5pCDMTC/MSC/MSS1lZeeM7kUmw2SUSXFLNnF0TTGMAgNCA6ma3OUZ2iYiIpMZm10D37j3kLoGMwLyqHyWZlF49smuqaQyBfq1hY22NlKwM5BcVmuSYNZiZWJiXWJiXWBwcmmd+KtXFZteApaWl3CWQEZgXcDkvByVlpXB2dIKLk2ludrCytET71gEAgNNJpv21KDMTC/MSC/MSTcNPUCPTYbNr4PDhQ3KXQEZgXsClzAwAQCsvH5Met2berqkfG8zMxMK8xMK8xFJcXCx3CarBZpdIYKnZ1c2uv6e3SY9bM2/3VDPcpEZERCQlNrsGWrduI3cJZATmBaQ028hu9fJjpxJN2+wyM7EwL7EwLyAnJwetWvnj/Hnzv8HWxsZG7hJuWY8ePbBo0SIA1Q+GCApqh0OHYmWuqi42uwZCQkLlLoGMwLyAlKzmGdnt0CYQGo0GF1KSUF7RtEdZNgUzEwvzEgvzAt55522MHTsWQUHV/2BPTEyEjY11vQ3YHXfcjhkzHmnweKNGjcTs2c/U2f7rr7/Cxsa60dfa2FjDxsYajo4OCA0NwSuvvIKysur1de3s7ABAv4+NjTVcXJwREtIBDz30EGJidtc6Xs17uf7rzjvvbLCO6/35558YPHgQPD094Obmii5duuCJJx7Xf//rr9fCzc3VqGMC1Q+GmDNnDubPn2/0a5sbm10DUVFb5S6BjMC8gEuZ6QAAPxM3uw52dmjr44/Kqiqcu3TRZMdlZmJhXmJRe17FxcX48ssvMX36dLlL0Zs6dSqSkpIRH38KS5YsxaeffqIfCc3Pz9fv9+mnnyIpKRnHj8fhs89WwcbGGiNGjMB7771X55gbNmxEUlKy/uuLL75ocj3btm3DffdNwW23TcCuXbtx4MBBvP3229DpdLf+ZgHcd9/9iImJwYkTJ0xyPFNhs0sksNTsTACmH9kFgI4BzXOTGhFRc9i8eTMsLCwwYMBAuUvRc3BwgI+PD9q0aYPJkydj5MhRiIqKrLOfi4srfHx80LZtWwwbNgxffPElXnjhRSxY8ArOnTtXa9+WLd3h4+Oj/3J1dW1yPRs3bkCfPn0wb948hIaGon379pgwYQJWrfocALBjxw48+uijKCoq0o8c1zTnmZmZmDx5MpydWyA4OAhr1nxV5/ju7u4YMGAA1q1bZ8RPqflZyV2AOXF0dJK7BDKC2vOq0lYhLTsLAODn6WXy44cGBGHz3p0mvUlN7ZmJhnmJpTnzKn63Q7MduyEOL5xp8r4xMbvRq1cvaDTmuaTXsWPHsHfvHrRt2xYAYGHR8Hjjc889h3ff/S/Wr1+POXPmmKQGb28fnD59GseOHUP37t3rfL9///5477338Oqrr+LUqdMAACen6j9Xjz46AxcvJuHvv/+Gvb0DXnhhLi5eTKxzjPDw3ti1a6dJ6jUVNrsGhg8fIXcJZAS155V55TIqqyrh4eoGOxtbkx//2vJjpmt21Z6ZaJiXWNSe18WLSfDxqf9m3REjRtRpLktLS3H//fc3etzVq1fj66+/rrWtqqqqSTXVvLaiogLl5eWwsLDA8uX/AwC0aNHw2ugtW7aEl5cXEhJqfwZf/17++msDBg0a1KR6nnrqKcTE7Ebv3uFo1aoVevfug5EjR+D++x+Ak5MTbGxs4OLiAo1GU+tneebMGfz999+Ijo7Wj5x/8cWXCAmp+48gPz9fXLxouulvpsBm18D27dtU/2EhErXnlZLVfFMYgOqRXaD6wRJarbbRUYimUHtmomFeYmnOvIwZYZVLaWkJvL3r/y3X119/g86dO9faNmvWk/r//v777/HUU7P0/2/YQN59991YsODVWq/dunULnn322UZrqnltQUE+3n13GdzcXDF58mQAQEFBQaMNr06nqzNSff178ff3b7SOGo6Ojvjzz/U4f/48duyIxv79+7FgwQL897//RUzMHnh71//3yalTp2BhYYHevfvot7Vt2xZ+fnUfU29vb4+SkpIm1yQFNrsGikz8aFRqXmrPKyWr+uY0f0/TLjtWw93ZBV7uLZF55TKSM9LQ1rfpH6g3ovbMRMO8xKL2vFq2bImcnNx6v9eqlT+Cg4NrbXNwcND/98SJE9Gnz7VGzrCBdHFxqfPaY8eONakmw9euXbsW3bt3x9dfr8XDD0+FVqtt8LXZ2dnIyspCYGC7Rt+LsYKCghAUFIRHHpmBefNeRufOnfDZZ5/htddeq3d/Y25gu3IlBx4enrdUn6nxBjUiQdWssevv1Twju8C1qQzxfLgEEZm5Hj16Ij4+/qZe26JFCwQHB+u/7O3tTVwdYG1tjXnzXsKCBQua9PS0Dz74ABYWFpg4caLJazEUEBAABwcH/T+WrK1t6kzTCA0NhVarRWzsQf22pKQkpKam1jneiRP/omfPHs1as7HY7BoYNWqM3CWQEdSeV3OtsWvo2sMlTLMig9ozEw3zEova8xo9ejROnYrH5cuX5S7lhqZMuQ8ajQYrV66Es7OzfnteXi7S09ORlJSE6OhozJjxCJYtexdvvbXklkdxDS1atAjz5s3Djh07kJCQgCNHjuCxxx5FYWEhJkyobqoDAtqitLQUUVFRyM7ORnFxMUJCQhAREYFZs2Zh3769OHr0KB59dEa9/yiIiYnBmDERJqvZFNjsGjh9+pTcJZAR1J6XJM2uiR8brPbMRMO8xKL2vLp27YrevXvjp5/Ma9krQzY2NnjyyVl4771lyMrK0m+fOXMm2rRpjc6dO+Hxxx9DWVk5oqL+MXoVhvbtgxt8UMaQIUOQmJiIGTMeQbduXTFhwm24ePEifvvtdwwePBgA0L//ADz++ON46KEH4efni2XLlgEAVq/+AgEBgRgzZgwmT/4/TJkyBW3bBtQ6/r59e5GXl2f0gy6aG+fsGkhOTkL37j3kLoOaSO15SdHsdmgdAAA4l2yaO2vVnplomJdYmBewYMGrmDNnDh5//AlYWloiICAA5eX1PwXyjz/+bPR4UVH/1Lv9zjvvvOFxG3vtvHnzMG/ePOTl5QFAo8ep0dB7AaofqpGRkYHRo288wj9s2DAMGzas0XOtWPExVqz4uNY2b29v/P7777W2PfLIjFr//+GHyzFnzvPNMg3kVnBkl0hAFZUVyLiSDQuNBXxaNt+NAK28fWBrbYOMK9koKC5qtvMQEZlCREQEnnxyJi5duiR3KZKLjo5Gnz59MGXKFFnOX1ZWhm7dumH27NmynL8hbHYN9OoVJncJZAQ155V+ORs6nQ7eLVvC2qr5fkFjaWGJQL9WAIDzl5Ju+XhqzkxEzEsszKva00//R//gBnNmuBqEKYwfP/6Go8lSsLW1xfz5881uVBdgs1tLUxeJJvOg5rwuZTbvsmOGglq1AQCcT7n1ZlfNmYmIeYmFeYmm6ct50a1hs2vg2LGjcpdARlBzXlLM160R3Kp6hOTcpVuft6vmzETEvMTCvMRSXGxeD15QMja7RAJKy66+i9dXgoW79SO7JpjGQETmT6OxQEVF026aIpJSRUUFNBrjW1c2uwYCAgLlLoGMoOa8snKr15H0dvdo9nPVjOyaotlVc2YiYl5iMVVe3t4+N/1wBmo6W1sbuUsQTnx8PLy9jZ++x2bXAD/YxaLmvDKvVDe7Xm7uzX4uf09v2NnYIjPnMvJv8XGkas5MRMxLLKbKa/r0GXjppZdw/PhxjvA2IxsbW7lLEEZFRQWOHz+Ol156CdOnz2j8BdfhOrsGoqO3YcKESXKXQU2k5rwyc64AALzcWjb7uSwsLBDo1wrxiedx/lISeoZ0uuljqTkzETEvsZgqr+HDRwAAXn31NWRkpEOn097yMamu4uISODiY38oF5kijsYC3tw+eeGKW/s+nMdjsEgkoM6d6ZNdTgmYXqJ7KEJ94HucuXbylZpeIxDB8+Iibaiqo6TZsWM9/TEqE0xgMODu7yF0CGUGteZWVlyOvsABWllZwa+Hc+AtMwFQ3qak1M1ExL7EwL7EwL+mw2TUwZMhQuUsgI6g1r2ujum6wsJDmEjbV8mNqzUxUzEsszEsszEs6bHYNREZulbsEMoJa89I3u67STGEAgHb+rQHc+oMl1JqZqJiXWJiXWJiXdNjsGigrK5W7BDKCWvPKunpzmre7dM2uv6c37G1tkZ2bg7zCgps+jlozExXzEgvzEgvzkg6bXSLBZFypmcbQ/MuO1ahekeHq6C4fLkFERAJhs2sgImKc3CWQEdSaV80DJaRsdgGDebu3MJVBrZmJinmJhXmJhXlJh82ugbi443KXQEZQa176NXYlnLMLGK7IcPM3qak1M1ExL7EwL7EwL+mw2TWQmpoidwlkBLXmlZ1b3exKP7J768uPqTUzUTEvsTAvsTAv6bDZJRJMVk4OAMDD1U3S8waZaPkxIiIiKbHZNRAe3kfuEsgIas3rcl51s+vpKu3Irm9LT9jb2uFyXi5yC/Jv6hhqzUxUzEsszEsszEs6bHYNlJSUyF0CGUGNeZWWl6GguAhWllZwcWoh6bktLCwQ5F89leHcTU5lUGNmImNeYmFeYmFe0mGza+DEiTi5SyAjqDGv7NxrUxg0Go3k57/Vm9TUmJnImJdYmJdYmJd02OwSCUTf7LpIO1+3Rs1Najc7sktERCQ1NrsGgoKC5S6BjKDGvGrm63q4uspy/pqb1M6n3NzIrhozExnzEgvzEgvzkg6bXQP+/v5yl0BGUGNeWVeXHfOQ+Oa0Gre6/JgaMxMZ8xIL8xIL85IOm10DO3fukLsEMoIa8zKcsysHn5aecLS3x5X8PFzJzzP69WrMTGTMSyzMSyzMSzpsdokEIvecXY1Go1+R4VaepEZERCQVNrsG3NzkaSDo5qgxr2sju/JMYwCurchwMzepqTEzkTEvsTAvsTAv6bDZNTBw4GC5SyAjqDGv7Dx5pzEAQJB/zU1qxje7asxMZMxLLMxLLMxLOmx2DWzZslnuEsgIasyr5gY1qZ+eZqidf2sAQEJKstGvVWNmImNeYmFeYmFe0mGza6CiokLuEsgIastLq9XiSl4uAKCli6tsdejn7N7EyK7aMhMd8xIL8xIL85IOm10iQeQVFqCyqgotHBxha2MjWx0+LT1gb2uLy3m5yCsskK0OIiKipmCza2D8+Alyl0BGUFteWVdvTvN0k28KAwBYWFggwLcVAOCCkVMZ1JaZ6JiXWJiXWJiXdNjsGjh0KFbuEsgIastLf3OaTMuOGapZkeFCqnHNrtoyEx3zEgvzEgvzkg6bXQMZGelyl0BGUFte2TnyPj3NUDu/6pvUjH2SmtoyEx3zEgvzEgvzkg6bXSJBmMOyYzXa+d/cyC4REZHU2Owa6Nu3v9wlkBHUlpfcT08zVLP82AUjV2RQW2aiY15iYV5iYV7SYbNrID8/T+4SyAhqyyv76hq7Hmbw1J3W3r6wsrRCWnYWiktLmvw6tWUmOuYlFuYlFuYlHTa7BuLjT8pdAhlBbXmZ0w1qVpaWCPD1BwAkpF5q8uvUlpnomJdYmJdYmJd02OwSCSLbTJYeqxHod3PLjxEREUmJza6BDh1C5C6BjKC2vMxpzi5gsPyYEc2u2jITHfMSC/MSC/OSDptdA56eXnKXQEZQU15l5eUoKC6ClaUVnB2d5C4HgMHyY0bcpKamzJSAeYmFeYmFeUmHza6BmJhdcpdARlBTXlfycwEA7i4usLAwj8u23dWR3QQjlh9TU2ZKwLzEwrzEwrykYx5/axJRg65cvWu3pbOrvIUYCPDxh4XGAknpaSivqJC7HCIionqx2TXg4eEpdwlkBDXldTkvFwDg7uwibyEGbG1s0MrLB1qdFhfTU5r0GjVlpgTMSyzMSyzMSzpsdg3068cFnkWiprxyCqpHdt3MqNkFgHb+1SsynG/iTWpqykwJmJdYmJdYmJd02Owa2LRpg9wlkBHUlNeVvOpm192MpjEAQODVJ6klNLHZVVNmSsC8xMK8xMK8pMNm14BWq5W7BDKCmvLS36BmZiO7Qf7VN6k1dUUGNWWmBMxLLMxLLMxLOmx2DZjLXe7UNGrKq+YGNXNrdmuWH2vqWrtqykwJmJdYmJdYmJd0+JM2MH78BLlLICOoKa9rza6rvIVcp93VaQyJaZdQWVXV6P5qykwJmJdYmJdYmJd02Owa2Ldvr9wlkBHUlJe5TmNwtHeAt7sHKiorcSkzvdH91ZSZEjAvsTAvsTAv6TSp2d25cycmTZoEf39/aDQarFmzptHXLFy4EBqNptaXj4/PrdbbrLKzs+QugYygprz0I7survIWUo/gqw+XOH/pYqP7qikzJWBeYmFeYmFe0mlSs1tYWIguXbpg+fLlsLe3b/LBQ0JCkJaWpv+Ki4u76UKJ1Eqn0yHnarPr1sK8RnYBIKhVWwDGPTaYiIhIKlZN2Wn8+PEYP348AGDatGlNP7iVldmP5hoaOHCw3CWQEdSSV3FpCcoqymFvawsHOzu5y6kj6Oq83XOXGm921ZKZUjAvsTAvsTAv6TTrnN0LFy7A398fgYGBmDJlCi5cuNCcp7tlWVmZcpdARlBLXuZ6c1oN/chuE5pdtWSmFMxLLMxLLMxLOk0a2b0Zffv2xZo1axAaGorMzEwsXrwYAwYMwIkTJ9CyZcs6+69atQqrVq0CAKSnp2PDhvUAgI4dO8HZ2QX791dP5Pb29kFYWLh+MWZra2tERIxDTMwu5OTkAACGDBmKlJQUnD9/DgDQuXNX2NvbIzb2AADAz88fXbt2w5YtmwEAtrZ2GD16DP744zd06tQZADBs2AgkJiYgMTEBANC9ew9YWlri8OFDAIDWrdsgJCQUUVFbAQCOjk4YPnwEtm/fhqKiQgDAqFFjcPr0KSQnVzcBvXqFoaqqCseOHQUABAQEIiAgENHR2wAAzs4uGDJkKCIjt6KsrBQAEBExDnFxx5GaWv041vDwPigpKcGJE9VTQoKCguHv74+dO3cAANzc3DBw4GBs2bIZFRUVAKrv+Dx0KBYZGelXs+mP/Pw8xMefBAB06BACT08vxMTsAlD9CMN+/fpj06YN0Gq1sLCwwPjxE7Bv3179HKOBAwcjKysTZ86cljynnTt3ID8/D7GxBzF37kuKz+nvndXndbCxRU5Ojtnl5Hb1ej5/6SL+XP8HHOwdauUEXLuefvnlJ4SH91ZkTqJfT4Y51VxP2dnZcHJyYk5mnlPN9fT9998iPLw3czLznGqup8TEBLRp05Y5mTCnG9HodDpdg3tcx8nJCStWrDBqOgNQPe+3Xbt2mDdvHubMmdPgvj169ERUVLRRxzeFDRvWY8KESZKfl26OWvLafmgfnnnvTQzp2Rsfv7BQ7nLqNfo/05B+OQvrl32GQL9WN9xPLZkpBfMSC/MSC/MyvbFjRyI2NrbOdsmWHnNyckLnzp1x9uxZqU5ptI4dO8ldAhlBLXmZ+zQGAAi6uiLDhUZuUlNLZkrBvMTCvMTCvKQjWbNbWlqKU6dOwdfXV6pTGs3ZzNYwpYapJa8rebkAzG+NXUM1y481dpOaWjJTCuYlFuYlFuYlnSYvPXb06FEcPXoUWq0WSUlJOHr0KJKSqv9iW7FiBUJDQ2u9Zu7cudixYwcSEhKwf/9+3HXXXSgqKsLUqVNN/y5MpGaeCIlBLXldKTDPRwUbCvKvuUmt4bV21ZKZUjAvsTAvsTAv6TSp2Y2NjUXPnj3Rs2dPlJSU4PXXX0fPnj3x2muvAai+ieH06dO1XnPp0iXcd999CAkJweTJk2Fra4t9+/ahbdu2pn8XRAp2JU+EaQxNX36MiIhISk1ajWHYsGFo6D62hQsXYuHChbW2/fjjj7dUmBy8vcVZE5jUk5e5PirYUJB/9TSGxLRLqKyqgpWlZb37qSUzpWBeYmFeYmFe0pFszq4IwsLC5S6BjKCWvMz5UcE1HO0d4OvhiYrKSiRnpN1wP7VkphTMSyzMSyzMSzpsdg3UrOVGYlBLXub8qGBDTZm3q5bMlIJ5iYV5iYV5SYfNLpEZ02q1yBHgBjWg6SsyEBERSYnNrgFra2u5SyAjqCGvguIiVFZVoYWDI2zM/P3WrLXb0GOD1ZCZkjAvsTAvsTAv6bDZNRARMU7uEsgIasjr2gMlzHtUFwCCW12dxtDAgyXUkJmSMC+xMC+xMC/psNk1UPNMZxKDGvKqWYnBTYBmt51/9fJjNSsy1EcNmSkJ8xIL8xIL85IOm10DOTk5cpdARlBDXiI8KriGg509/Dy8UFFZiaT01Hr3UUNmSsK8xMK8xMK8pMNml8iM1Twq2K2Fs7yFNJF+3m4DUxmIiIikxGbXwJAhQ+UugYyghrxyCvIBiDFnF7g2b/fcDZYfU0NmSsK8xMK8xMK8pMNm10BKSorcJZAR1JBX7tVm11W0kd0brMighsyUhHmJhXmJhXlJh82ugfPnz8ldAhlBDXnlFlY3u+b+QIka7VsHAADOJifW+301ZKYkzEsszEsszEs6bHaJzJhoI7vt/FvDQmOBi2kpKCsvl7scIiIiNruGOnfuKncJZAQ15FUzZ9fVqYXMlTSNnY0t2vr6oUqrxYXU5DrfV0NmSsK8xMK8xMK8pMNm14C9vb3cJZAR1JCXaCO7ANChTSAA4ExSQp3vqSEzJWFeYmFeYmFe0mGzayA29oDcJZAR1JBXbmEBAHHm7ALX5u2eSUqs8z01ZKYkzEsszEsszEs6bHaJzFRZeTmKS0tgZWkFR4FGADq0CQBw45vUiIiIpMRm14Cfn7/cJZARlJ5XzUoMri1aQKPRyFxN0zU0jUHpmSkN8xIL8xIL85IOm10DXbt2k7sEMoLS8xJxvi4A+Hl4wdHeHpfzcnH56hPgaig9M6VhXmJhXmJhXtJhs2tgy5bNcpdARlB6Xtfm64rV7Go0mhuut6v0zJSGeYmFeYmFeUmHzS6Rmbq27JhYzS4AdGh946kMREREUmKza8DW1k7uEsgISs8rtyAPgHjTGIBrN6ldvyKD0jNTGuYlFuYlFuYlHTa7BkaPHiN3CWQEpeeVI+icXcBw+bHaI7tKz0xpmJdYmJdYmJd02Owa2Llzh9wlkBGUnldegZhzdgGg/dWR3QspyaisqtJvV3pmSsO8xMK8xMK8pMNm10B+fp7cJZARlJ6XyCO7LRwc4efhhbKKciSlp+q3Kz0zpWFeYmFeYmFe0mGzS2SmcgW+QQ0wmMrAh0sQEZGM2OwaGDZshNwlkBGUnlfO1RvURJzGABg8Sc3gJjWlZ6Y0zEsszEsszEs6bHYNJCZymSSRKD2vvKvr7Io4jQEweJJa8rWclJ6Z0jAvsTAvsTAv6bDZNcA/eGJRel41c3ZFHdnVP1jCYGRX6ZkpDfMSC/MSC/OSDptdIjNUWl6GkrJSWFlawcHOXu5ybkpbX39YW1khJSsDhcXFcpdDREQqxWbXQPfuPeQugYyg5LxyDZYd02g0Mldzc6wsLRHcqi0A4NylRADKzkyJmJdYmJdYmJd02OwasLS0lLsEMoKS88orFHfZMUPtr3uSmpIzUyLmJRbmJRbmJR02uwYOHz4kdwlkBCXnJfp83RodrnuSmpIzUyLmJRbmJRbmJR02u0RmqGaNXRenFjJXcmva16zIYHCTGhERkZTY7Bpo3bqN3CWQEZSc17WRXReZK7k1+rV2kxOh0+kUnZkSMS+xMC+xMC/psNk1EBISKncJZAQl55WrkDm7Hi5ucHd2QWFJMdKysxSdmRIxL7EwL7EwL+mw2TUQFbVV7hLICErOK1chc3YBg8cGJyUoOjMlYl5iYV5iYV7SYbNLZIZqpjG4tBB7zi5w7UlqZ5MT5S2EiIhUic2uAUdHJ7lLICMoOS9ljuwmKjozJWJeYmFeYmFe0mGza2D48BFyl0BGUHJeuQq5QQ24dpPameQERWemRMxLLMxLLMxLOmx2DWzfvk3uEsgISs5LKTeoAUBQqzaw0FjgYloKtkZyjppIlHyNKRHzEgvzkg6bXQNFRYVyl0BGUHJeNSO7roKvswsAdja2aOvrhyqtFolpl+Quh4yg5GtMiZiXWJiXdNjsEpmZ0vIylJSVwdrKCg529nKXYxI183bTci/LWwgREakOm10Do0aNkbsEMoJS88otKABQPV9Xo9HIXI1p1KzIYOMs/ki1mij1GlMq5iUW5iUdNrsGTp8+JXcJZASl5pVbkAdAGfN1a4RcbXaPnPpX5krIGEq9xpSKeYmFeUmHza6B5OQkuUsgIyg1rxwFzdet0SWoPQDgfOolVGmrZK6Gmkqp15hSMS+xMC/psNklMjP6m9MUNLLr4eoOXw9PlFdWIDE1Re5yiIhIRdjsGujVK0zuEsgISs0rt7Bmzq5yml0A6NKuAwAg7vxpmSuhplLqNaZUzEsszEs6bHYNVFXx16siUWpeShzZBYCuQSEAgH/Pn5G5EmoqpV5jSsW8xMK8pMNm18CxY0flLoGMoNS8cq7eoKaEp6cZqpm3G8dmVxhKvcaUinmJhXlJx0ruAoiotpqRXRcF3aAGAJ0Cg6EBcCYpAWXl5bC1sZG7JJJYaXkZYuPjcOLCOeQW5sPB1h5O9g4oKClChzaB6N+lh+L+3BOR/NjsGggICJS7BDKCUvNS6pxdR3sH+Ht441J2Bk4nXUC34FC5S6JGmOIa0+l02HH4AH7fEYm9cYdRUlZ2w30tLSzQ2tsXbX380b9rT/zfsDFwsLO75RrUQqmfiUrFvKTDZtcA/+CJRal5KXXOLgB079ARl7IzEHf+DJtdAdzKNZZfVIjPfv8R2w/tQ3JGmn57p8BghHfsCi+3ligoLkRhcTEc7Oxw/NxpxMbHITEtBYlpKdhx5AA+/3Mdnvi/+3DXiAhYW1mb4i0pmlI/E5WKeUmHza6B6OhtmDBhktxlUBMpNa+adXaVNmcXAKwrqm/I4E1qYrjZa+yfg3vx1lcrkZV7BQDg6eqOqbf9HyL6DYFPS48bvq6opBhpl7MQn3Ae32/5C/9eOIMlaz7B2o2/Ye4DMzCqz8Cbfi9qoNTPRKViXtJhs0tkZq6N7Cpv7mKrlp4A2OwqVXZeDpau+RRb9+8GAPTo0BHPTZmObu1DYWVp2ejrHe0dENyqLYJbtcWEQcPxz8E9+N9PXyMh9RKe+3AJJgwajlcfeZpTG4jIKGx2DTg7K28kTcmUmFdJWSlKy8tgY20Ne1vl/YXeoXUgbKytkZiWgvyiQjg7OsldEjXAmGss8kAM3lj9EfIKC2Bva4fZU6ZiyujbYGnReJNbH41Gg1F9BmJYWD/8FLUJH/74FTbs3o5TiRew8LFn0L09p8FcT4mfiUrGvKTDpccMDBkyVO4SyAhKzCvv6s1pri2codFoZK7G9IYPH4HQtkEAgBMXzspcDTWmqdfY7mOxmLv8beQVFqBflx74/b8r8UDEpJtudA1ZWVri/oiJ+HHxhwjwbYVzly7ioYVzsfzHtaiorLzl4yuJEj8TlYx5SYfNroHIyK1yl0BGUGJe1+brKu/mNKA6s65B1U9S41QG89fYNabT6fDzP5sx58Ml0Oq0mDHpbqx6eTH8Pb1NXks7/zb4aclyzJh0NzTQYPX6n/DCR2+z4TWgxM9EJWNe0mGza6CsrFTuEsgISsyrptl1dVJms1tWVoouQTWPDWaza+4au8a+/OsXLPpiBUrKyjB52Bg8c8/DzfobCXtbOzw7ZRq+WLAULRwc8c/BvXjho7dRVl7ebOcUiRI/E5WMeUmHzS6RGcm9+vQ0JS47VqOrvtk9DZ1OJ3M1dLO27t+ND39cAwBY9PizeOPx2bCwkOavlPCOXfDZvDf1De8Tb7+K/KJCSc5NROJhs2sgImKc3CWQEZSYV27BtTm7ShQRMQ5tfPzQwsER2bk5yLhyWe6SqAE3usaOnzuF+SvfAwA8d990/N+w0VKWBQDoGhyCNa/9F15uLXHo1L+YuuhFpF/OlrwOc6LEz0QlY17SYbNrIC7uuNwlkBGUmFeuwufsxsUdh0ajQdegkOr/P39a5oqoIfVdYylZGfjPsjdRVlGOO4dHYPqEO2WorFqHNgH4ZuEyBPq1wrnki3jw9eeRmJYiWz1yU+JnopIxL+mw2TWQmqreD0kRKTEvpc/Zrcmsa/DVqQzn2Oyas+uvsfyiQjz134W4kp+Lfl164JXps2RfNcTP0wtfv/4uenbohIwr2Zjx1su1ntimJkr8TFQy5iUdNrtEZkTJjwo2VPOo4GPnTslcCTVVlbYKL/zvHZxPSUKQfxu8N/tlWFuZx1Ltri2c8em8N9ErtDMyr1zGjLdeRmpWptxlEZGZYLNrIDy8j9wlkBGUmFduobKnMdRkVnOT2skL57h0lBkzvMbWbPgNe+IOw93ZBSteeN3sHgjiYGeHlS8sRPf2oUjLzsIji+epbg6vEj8TlYx5SYfNroGSkhK5SyAjKDEvpY/s1mTm5uyCNt5+KC0vw7lLF2Wuim6kJq+TCeew4udvAQBvPTkHrbx85CzrhhztHfDJS4vQuV17pGRl4NG3XkZWzhW5y5KMEj8TlYx5SYfNroETJ+LkLoGMoMS8lD5n1zCzbu2rb1I7eiZernKoESdOxKG0vAwvr1yGyqpK3DdmAgZ1D5e7rAa1cHDEZ/PeRGjbdriYnopHl8zH5bxcucuShBI/E5WMeUmHzS6RGVH6yK6hnh06AQAOnfpX5kqoIR/88BUupCSjnX9rPHffdLnLaRIXpxZY9fJiBLduiwspyXhsySvIyc+TuywikgmbXQNBQcFyl0BGUFpeJWWlKKsoh621DextbeUup1kYZhbesQsAIDY+jg+XMFMFukp8v+UvWFlaYumsubC3tZO7pCZzc3bB5/PfQqBfK5xNTsTjSxcgr7BA7rKaldI+E5WOeUmHza4Bf39/uUsgIygtL8NRXbmXc2ouhpkF+rWGu7MrLuflqnptVHOVk5+Hzzb+CgB46u4H0SlQvL+YPVzc8MUrS9HWxw+nLl7Acx++hfKKCrnLajZK+0xUOuYlHTa7Bnbu3CF3CWQEpeWln6/booXMlTQfw8w0Gg3CQjsDqB7dJfPy5pcf43J+LnqFdpb1wRG3ytPNHZ/Pfwueru44eDIOr3++XLG/SVDaZ6LSMS/psNklMhO5Cr85rT7hHbsC4LxdcxN5IAaRB2JgY2WNJU8+D0sLS7lLuiW+Hl5Y8cLrsLe1w4bd27Hy1+/kLomIJMRm14Cbm5vcJZARlJbXtTV2XWSupPlcn1lNsxsb/69iR9tEk1dYgCVrPgEATB4wHP6e3jJXZBqdAoOx7JmXYKGxwKe//YA/dkTKXZLJKe0zUemYl3TY7BoYOHCw3CWQEZSWV44KVmK4PrPgVm3g4tQCGVeycSkzXaaqyND733+J7Nwc9OzQCS8//h+5yzGpIT374OVpTwAA3lj9Efb9e1TegkxMaZ+JSse8pMNm18CWLZvlLoGMoLS8clUwZ/f6zCwsLBAWWrMqA6cyyC02/l/8Fr0V1lZWWPjYM4iM3CJ3SSY3ZfQETLttMiqrqvDcB2/h9MULcpdkMkr7TFQ65iUdNrsGKhR8l64SKS0vNYzs1peZfgmyU7xJTU4VlZV4a81KAMCjk+5BO//WirvGajx333SM7jMQhSXFmPnOa0jOSJO7JJNQal6mVFxagtNJCTh65iT2nziGAyeO4cSFs7iQkoyMK9koKC5ClbZKklqYl3Ss5C6AiKrlFVSvAeqm4Ga3Pvqb1DiyK6sfIzfgXPJF+Ht645FJd8ldTrOysLDA20+9gPyiQuw/cQyPL12Abxa+Cw9Xd7lLIxPJKyxAbPy/OHLmBC7n5SIr5woS0i4h88rlJr3ezsYWTg4O8HBxQ3DrtghpE4gObQLRoW0gPFw411Y0Gp0Z3hXSo0dPREVFS35erVYLCwsOdotCaXk9+tZ87D9xDJ+9vBgDuvaUu5xmUV9mVdoqDH78PhQUF2Hr/76Cr4eXTNWpV3buFUx8/gkUlhRjxdzXMbRXHwDKu8auV1RSjBlvzceJC2fRoU0gvnr1bTg7Osld1k1Tel4NyS3Ix6FT/yI2/l8cjD+OM0mJ9d70am1lhVZePnB2dIKttQ20Oh2KSopRUlaKopISFJeVoLi0tMEbZlu6uCKkTTuEtK1ugHuFdIafp/GfW2rOq7mMHTsSsbGxdbZzZNfAoUOx6N27j9xlUBMpLa+a1RhcnZQ7Z7e+zCwtLNErpDN2HDmA2Ph/MXHwCJmqU68PfliDwpJiDO3ZR9/oAsq7xq7naO+AlS++galvvIgzSQn4z7JF+HTeIqGeFGdI6Xld79yli4jcH4N/Yvfg9MWEWt+ztrJCt+BQhHfsgrY+/nBxaoFAv1bw8/RqdCk9rVaL0vJy5BcVIuNKNs4kJeB0UgLOXEzAmeQEXM7LxZ64w9gTd1j/mgDfVggL7YzgVm0xLKwvWnn5NFq/2vKSE5tdAxkZvBtcJErLq2bOrpKnMdwos/COXa42u3FsdiV29MxJrN/1D6ytrPDSw4/X+p7SrrH6uDu7YNXLb+KhhS/g8OkTeOF/7+CD516BtZV4fz2qIa8LKcnYtCcakQdicCElWb/dxtoa3duHIjy0K3p36oquwSGws7m5x65bWFjAwc4ODnZ28Gnpge7tQ/Xf02q1SMnKwJmkBJxJSsTJhLM4GB+HxLRLSEy7BAB455tV6BQYjNF9BmJ0n4Fo61v/k9LUkJe5EO9qJlIgnU6nn7Or5BvUboQrMsijSluFpWs/AwBMm3AnWnv7ylyRPHw9vLDq5Tcx9Y2XsOPIAby+ajneenKOYh/bLRqtVov9J45hw+7t+Gv3Nv0UAxenFhgR3g+j+wxCn07dYGtj0+y1WFhYoLW3L1p7+2Jk7wEAqm/ujDt3GqcuXsDRMyex48hBnEw4h5MJ57B83VqEtA3E2P5DMK7/UMWsWy0aNrsG+vbtL3cJZAQl5VVSVoayinLY2dgK+yvUprhRZh0Dg+FgZ4+kjFRk5lyGl1tLiStTpz92ROFkwjl4u3vg0Un31Pm+kq6xxrTzb4OVLy7EjLfm46/d29DaxxdPTr5f7rKMorS8KquqsHnvDqz+8yf9KK6VpRUmDh6Osf2HonfHrmYxAm9tZYVeoZ3RK7Qz7o+YiLLycuyJO4zI/THYfmgfTl9MwOmLCVj+41p0bx+Kcf2HIqLfIMXlZc7k/1NiRvLz8+Dp6Sl3GdRESsqrZo1dFwXP1wVunJmVpSV6duiImOOHERsfh/EDhklfnMoUFBdh+Y9rAABzH5gBB7u6/8hS0jXWFF2DQ7DsmXl4etkbWPnLdwhu1Raj+wyUu6wmU0peFZUVWL9rG1b/+ZP+YTO+Hp6YMHA47hg6Gm18/GSusGG2NjYYHtYPw8P6obyiAjHHD2Hz3p2IPrQPx86ewrGzp/Dfbz5H58Ag3DlyHEb1HqD4z365sdk1EB9/EkFBwXKXQU2kpLxyCvIAKHu+LtBwZuEduyLm+GEcij/BZlcCn/+xDjkF+egV2hkR/ep/kpOSrrGmGtKzN56//xEs++4LvPLJe/D39EanQDF+BqLnVVZejl+3b8GXf/2CjCvZAIA23n549PZ7MGHQcLMYxTWWjbW1vvEtLi3FjsP7sWnvDuw+eghxF84i7sJZLP5yJQZ264VxA4ZieFhfONjZy1224oj3J4dIgfIK1TtftwYfLiGd5Iw0fPv3nwCAFx98jHNTr/Pw+P/D2eSL+HNnFGa+/Sq+evUdBLVqI3dZiqXVarFxTzQ++ulrpGVnAQCCW7XFY3fcg4h+gxtdPUEUDnZ2GDdgKMYNGIq8wgJ88MUnSCnKw4ETx7HjyAHsOHIAdja2GBHeH1NG34YeHTry2jSRJi3wtnPnTkyaNAn+/v7QaDRYs2ZNkw6+cuVKBAYGws7ODmFhYdi1a9et1NrsOnQIkbsEMoKS8lLDSgxAw5l1btcedja2uJCSjMt5udIVpUIf/PAVKiorMWnwSHRu1/6G+ynpGjOGRqPB648+jUHdw5FTkI/HlryCpPRUuctqlIh57Yk7gikLnsX8le8hLTsLwa3b4sPnXsGvb6/A+AHDFNPoXs/FqQXuH3c7Pp//Fv5Z+TVenjoTPTp0RGl5GTbticbDb7yAu17+D77bsl4/GEI3r0nNbmFhIbp06YLly5fD3r5pw+vr1q3D7NmzMX/+fBw5cgQDBgzAuHHjkJSUdEsFNyfPm1gUmuSjpLyuzdlVdrPbUGbWVtb6JX4OneKqDM3l0Kl/EXkgBnY2tvjPPQ83uK+SrjFjWVtZ44Pn5qN3p67Iyr2CR5fMR1p2ptxlNUikvM4mJ+KJpa/iiaULEJ94Ht7uHnjziWfxy9KPMLL3AFU8bKEmLw8XN9wfMRHfLFyGv5d/icduvwfuzi44k5SAt9d+huGzHsTzy5di+6F9qKjkI4ZvRpP+NI0fPx5LlizBXXfd1eQ/gO+//z6mTZuGxx57DB07dsRHH30EX19ffPLJJ7dUcHOKiTHvkWeqTUl5qWXObmOZ1Tw6ODaeUxmag1arxbvfrgYATJ9wJ3xaejS4v5KusZthZ2OLj55/Dd2CQ5GWnYXHlryC7Nwrcpd1QyLklVdYgMVfrcRd8/6DPXGH4WTvgGenTMOG91fhjqGjFTuSW5/68vL39MYz905F5EdrseyZeRjYrRcqq6qwdf9uPPPemxg+6yEs/vJjHD1zElqtVoaqxdQsc3bLy8tx6NAhzJ07t9b2MWPGYM+ePc1xSiKh5XLOLgDDZpcju81hY0w0Tlw4Cy+3lpg24U65yxGCo70DPnnpDTz61nzEJ57HY0sW4MsFS+Hm7CJ3acL55+BevPnlClzOy4WFxgL3jr4NT935AH+W9bCxtkZEv8GI6DcY6ZezsGnPDvy1exvOJV/EuqhNWBe1CR6ubhjasw+Gh/VD3y7db/ohGmrQLM1udnY2qqqq4O1de/Fkb29vREVF1fuaVatWYdWqVQCA9PR0bNiwHgDQsWMnODu7YP/+vVeP4YOwsHBs2rQBAGBtbY2IiHGIidmFnJwcAMCQIUORkpKC8+fPAQA6d+4Ke3t7xMYeAAD4+fmja9du2LJlMwDA1tYOo0ePQUrKJf15hw0bgcTEBCQmVj+CsHv3HrC0tMThw4cAAK1bt0FISCiiorYCABwdnTB8+Ahs374NRUWFAIBRo8bg9OlTSE6unrrRq1cYqqqqcOzYUQBAQEAgAgICER29DQDg7OyCIUOGIjJyK8rKSgEAERHjEBd3HKmpKQCA8PA+KCkpwYkT1SNfQUHB8Pf3x86dOwAAbm5uGDhwMLZs2YyKiupfd4wfPwGHDsXqn9bSt29/5OfnIT7+JIDqeV6enl76f2V6eHiiX7/+2LRpg/7Z3ePHT8C+fXuRffXmgYEDByMrKxNnzpyWPKedO3cgPz8PZ86cQWFhoSJyOnk6HgBwJStL/2dQKTkB166nM2fOYMOG9TfMKfnMGVhZWOJsciJyC/JxJDbWrHICxL2ePDy9sHzdmup9Q7oiZtfOG+ZUcz1ptVqkpqYIdz01R0539hqIb0tLce7SRUx5+Rk8OnICenXvKev1dP3nXs31ZW45bdr6N/46FIPjF88DAAK9fDEpfBB8XN3h4tQCBw8eEO56upWcaq6n3NxclJaWNppTxqUUeGlsMGPwWLj6eCPq0F5EHdyL7Nwc/Lp9C37dvgXWllZo79sKPYND8ei9D+LIgYNmfT01V043otHVPIqkiZycnLBixQpMmzbthvukpqZe/cHtxODB15a0eeONN/DDDz/g1KlTDZ6jR4+eiIqKNqYsIqE9+tZ87D9xDJ+9vBgDuvaUuxxZTX9zHmLj4/Dhc6/on1BEt271nz9h+bq1CG3bDj++9aGqfl1sKlk5VzBt0UtIykhF9/ahWPXyYi4T1QCdToe/9+7E0rWfIqcgH/a2tpg9ZRruGz1BFXNym5NOp8PpixcQffgAog/vx4kLZ/Xf02g06BYcgmFhfTG8Vz+082+tmlUdxo4didjY2Drbm+VPm4eHBywtLZGeXvu5z5mZmXVGe81Jzb8eSAxKykstqzE0JbM+nboBAPafONbc5ajGlfw8rF7/EwBgzv2PNLnRVdI1Zgqebu5Y/cpb8PXwxLGzp/D40gW4cnUUzxyYU15p2Zl45v038eKK/yKnIB99O3fHr29/jAciJrHRvepW8tJoNAgNCMLMyffhx8UfImrFWrw642kM7hEOaysrHDt7Cst/XIs7XnwS456dgTdWf4S/9+3S3wytNs0yjcHGxgZhYWGIjIzE3Xffrd8eGRmJO+8033linOwtFiXllVuojma3KZn169IDK3/9Dvv+Pdr8BanEJ79+j6KSEgzqHo7+RvzmQEnXmKn4enhh9fwlmPHWfBw7ewoPvDYHK198A4F+reQuzSzyKiwuxhfrf8Y3m/9AWUU5nOwd8PwDM3Dn8AjVjC42lSnz8nb3wD0jx+GekeNQXFqCvXFHsP3Qfuw6ehApWRn4Zdvf+GXb39BoNOjSrj3CQrsgpG079OvaAx4ubiarw1w1qdktLCzEuXPV8yG0Wi2SkpJw9OhRuLu7o02bNlixYgVWrFhRa3rCnDlz8NBDD6FPnz4YOHAgPv30U6SmpmLmzJnN805MgP/aFItS8tLpdKp5XHBTMusS1AEOdvZISL2E9MvZja4YQA1LzkjDL9s2w0JjgTn3TzfqtUq5xkytjY8fvl/0Pp5e9gZOJpzDg68/j9WvLEHHgCBZ65IzL51Ohw27t+O977/Qr5M9tt8QPP/ADF7DN9BceTnY2WNk7wEY2XsAqrRViE84j30njmJf3FEcPn0CcefPIO78Gf3+7s6ucHZ0grd7SwT4+qOtrz8CfFshwNcffp5eipjy1KQ5u9HR0Rg+fHid7VOnTsWaNWuwcOFCvPHGG7j+UCtXrsR///tfpKWloUuXLvjggw8wZMiQRovinF1Sk+LSEvR95C7Y2dji4Jrf5C7HLDz97hvYceQAFs98DrcPGSV3OUJ7eeUybNi9HbcPGYXFM5+TuxxFKS4txYsfvYMdRw7AxakFPnr+NfQM6SR3WZJLzcrE/E/e06+P3aNDR7zw4KPoFhwqc2V0veLSUsTGH8eJhHM4diYeh0+fQElZ2Q33t7aygoerG9xauMDd2RXuzi5wc3ZGCwcnONk7wMnBAQ529rC1toGVpSVKykpRWFIMW2sbjO3feL9najeas2v0DWpSkKvZ3bdvL/r16y/5eenmKCWvlKwMjJ39CHxaeiLyozVyl9OsmprZd3+vx9tff4ax/Ybg3WdekqAyZTqbnIg75z0NSwtLbHh/Ffw9jbtnQinXWHOqqKzAnOVLEX1oP6ytrPDajKdxx9DRstQidV5arRab9+7E22s/Q25hPtydXTDn/kcwcdAI/lagCczh+tJqtcjMuYLCkiKkZmXiYnoKLqalIPHqV8aV7Js6blsfP2x4/3MTV9u4GzW7zTJnV1Q1y2GQGJSSV65Kbk4Dmp7ZkJ698fbXn2HXsYMor6iAjbV1M1emTB//8i10Oh3uGjHW6EYXUM411pysrazxwbOv4N1vP8f3W/7Cq599iPOXkvDsfdMk//WvlHkdPnUCb3/9GeITq5cTG9itF95+6gXVrxVuDHO4viwsLK5OM/FAcKu2AHrX+n5JWSku5+UiJz8PV/RfuSgqKUZhSTEKi4tRXFaCsvIKVFZVwt7WDk72DvB2N6+pK2x2iWRW0+zyL4lrWnv7okObQJxJSsDBk8cxsHuY3CUJ59/zZ/DPwb2ws7HF43fcK3c5imZlaYmXp85EUKu2WLrmE6zZ+BvOpyThv0+/BCcHB7nLM6nyigp8sf5nfPrbD9DqtPBya4mn734Qk4aMVMTcTqrN3tYOrbx80MrLR+5Sbgl/z2Bg4MDBje9EZkMpedUsO+aq8JvTAOMyGx7WFwCwLXZfc5WjaP/76WsAwH0RE+Dp5n5Tx1DKNSaVe0aOw6qXF8PFqQV2HY3Fg68/j+SMNMnO35x5abVabNoTjTtefBIrf/0OOugwY9Ld2PD+KvzfsDFsdG8Cry/psNk1kJWVKXcJZASl5KWmkV1jMhsRXj2XbfuhfWaxpJJIDp48jr1xR+Bk74BHJtx108dRyjUmpd6duuGHNz9AkH8bnE9Jwv2vzsHBk8clOXdz5KXT6fDPwb248+Wn8dKKd5GckYZ2/q3x+fy38OyUabC3tTP5OdWC15d02OwaqHlkHYlBKXldW2NX+c+HNyazjgFB8GnpiazcK7WeDkQNq6isxJK1nwIApt42+Zb+EaWUa0xqrb198e0b72Fwj3DkFubj8aULsPKX71BafuO73k3BlHnpdDrsOHwAUxY8i2c/WIxzyRfh6+GJNx57Br++/TH6du5usnOpFa8v6bDZJZKZWtbYNZZGo+FUhpuwdtNvOJd8Ea29fTFtwmS5y1EtJwcHfDT3NUy7bTIqq6rwyW/fI+KZ6fh+y191luk0JzqdDjuPHMT9r87RryPc0sUV86Y+gQ3vfY7JwyNgZckpCyQWNrsGOnZU3/qIIlNKXjWPG3V3Vv7IrrGZ1Uxl2HZob3OUozhX8vOw+s/qxwIvmD4Ldja2t3Q8pVxjcrG0sMTzD8zAV6++g06BwbiSn4elaz/FM++/iZSsDJOf71bzSs5Iw3+WLcJT7y7EvxfOwN3ZFXMfeBSbP/wCD0RM4qooJsbrSzpcjcGAswqaDSVRSl41N6i5KeT9NMTYzMJCu6CFgyMupCQjMS0FAb7+zVSZMnz+5zoUlZRgYPcwDOjW65aPp5RrTG7hHbvgx8UfIvJADF5ftRzRh/Zj5+GD6N2pKx6ZdDcGGPEI54bcTF5V2irEHDuMX7b9jR2HD0Cr06KFgyOe+L8puGfUeM7JbUa8vqTDkV0D+/dz9EgkSslLTTeoGZuZtZUVhvbqAwDYzqkMDUrNysS6yI0AgGfvnWqSYyrlGjMHGo0GY/oOwu//XYkJg4bDwsIC+08cwxNLF+CxJa/g6Jn4Wz6HMXmlZWdi5S/fYezsGXjq3YXYfmgfLCwscPuQUfjj3U8w9bbJbHSbGa8v6XBkl0hm+mkMKrhB7WYMD+uHDbu3Y9uhvZg+8U65yzFbK3/9DhWVlRg3YChCA4LkLoduwKelJ5bOmouXp87ET/9swpfrf8G+f49i379H0TEgCJMGj8S4AUPR0sXV5OcuKy/HzqMH8Xv0Vuw+dkg/d7iVlw/uHB6B24eMuull6ojMGZtdA97eYi+arDZKyEur1SKvUD0juzeT2cBuvWBjbY1jZ08hO/cKPFz5l/H1Ticl4K9d22BlaYn/3P2QyY6rhGvMXDk7OuHRSffg7hHjsHbjb1gXtQnxiecRn3ge733/BSYMGoGIfoPQvX1HtHBwbNIx68srK+cKtsXuxbGzpxB9eD8KiosAVP/WZGT4ANw5IgJ9OnXj431lwOtLOmx2DYSFhctdAhlBCXkVFBehSls9R87aSvmX481k5mjvgAHdeiH60H5s2bcbD4yd1AyViUun0+Hdbz6HVqfFlFET0drb12THVsI1Zu5cnFrgmXun4vH/m4Idhw9gw+5t2HkkFn/siMQfOyKh0WjQvnUAeoZ0QufA9mjh4IBWXj6ws7VDVVUVCoqLkFuQj7KKcpxNTsS2+KMoqyhHVs5lnLuUhJSsjFqrP3QMCMKEQcMxcdAIVdwnYM54fUlH+X+7GmHTpg2YMIF/kYpCCXnVTGFQwxq7wM1ndtuAYYg+tB+b9kSz2b3OjsMHsP/EMTg7OuHJyfeb9NhKuMZEYWdji4h+gxHRbzCS0lPxy7a/cejUCZxMOIczSQk4k5RwU8e1trLC4B690bdzd/Tt3B1BrdqYuHK6Wby+pMNml0hGOTXNrrPypzDciqG9+sDBzh7Hz51GUnoq2vj4yV2SWaiorMB7338BAJg5+T5VTIVRgzY+fphz/yMAgNLyMpy4cBZHTp/EuUsXUVRSjKSMNFRVVcHS0hIOtvZwc3aGpaUldCVl6BvWG7bWNnBxaoGgVm3Q1scP1lZcMozUjc2uAWuuISgUJeSlX3ZMJU3KzWZmb2uHkeH98dfubdi0ZwdmTr7PxJWJaV3kJiSmpaCtjx+mjL7N5MdXwjUmOjsbW4SFdkFYaJdG992yZTMiIsZJUBWZAq8v6XBGugF+SIhFCXnlFNSM7KpjGsOtZDZ+4FAAwMaYaLN+ApVU8goL8Mlv3wMAnn9gRrOM3inhGlMT5iUW5iUdNrsGYmJ2yV0CGUEJeeWobM7urWTWr0tPuDu7IDHtEk5dvGDCqsT06e8/IL+oEH07d8ewXn2b5RxKuMbUhHmJhXlJh82ugZycHLlLICMoIS+1TWO4lcysLC0R0W8wAGBjzHZTlSSk9MvZ+ClqEwBg7gMzoNFomuU8SrjG1IR5iYV5SYfNLpGM1DaN4VaNHzAMALB5z05UaavkLUZGq/9ch/KKCkT0G8wHSBARNYLNroEhQ4bKXQIZQQl5qW0aw61m1r19KPw9vZGZcxmHT50wUVViOZ2UgF+2/Q0LjYXJlxq7nhKuMTVhXmJhXtJhs2sgJSVF7hLICErIS23TGG41M41Gg/EDhwEANuxW31QGrVaLt75ciSqtFlPG3Nbsa6Yq4RpTE+YlFuYlHTa7Bs6fPyd3CWQEJeSltmkMpshs4qARAIDNe3cgr7Dglo8nkp/+2YQjZ06ipYsrnjbhY4FvRAnXmJowL7EwL+mw2SWSUU6+ukZ2TSHQrxUGdO2FkrIy/B69Ve5yJJOalYkPflgDAHhl+iy0cHCUtyAiIkGw2TXQuXNXuUsgI4ieV0lZKUrLy2BjbQ0HO3u5y5GEqTJ7YOxEAMAPWzegskr5N6rpdDos+uIjFJeWYHSfgRjdZ6Ak5xX9GlMb5iUW5iUdNrsG7O3V0XAoheh5XRvVdWm2paPMjakyG9Q9HG28/ZCanYkdh/eb5JjmbP2ufxBz/DCcHZ0wf9pMyc4r+jWmNsxLLMxLOmx2DcTGHpC7BDKC6Hnp5+uqaAqDqTKzsLDA/RHVo7vf/r3eJMc0V1k5V/DO16sAAPMefgIeru6SnVv0a0xtmJdYmJd02OwSyURtN6eZ2u1DRsHR3h6x8XE4reAnqr377ecoKC7CoO7hmDBouNzlEBEJh82uAT8/f7lLICOInpfhNAa1MGVmTg4OuGPIaADA91v+MtlxzcnRMyexee9O2Frb4NVHnpJ8uovo15jaMC+xMC/psNk10LVrN7lLICOInpcapzGYOrP7xkyARqPBxpho/QM6lKKyqgpL134GAJg2YTL8PL0kr0H0a0xtmJdYmJd02Owa2LJls9wlkBFEz0s/squiaQymzqytrz8G9whHWUU5fozaaNJjy+27v9fjZMI5+LT0xCMT75KlBtGvMbVhXmJhXtJhs0skE87ZNY1pt00GAPyw5S+UlJXKXI1pnL+UhBU/fwMAePWRp1SzNB0RUXNgs2vA1tZO7hLICKLnpbZHBQPNk1l4x67oGtQBOQX5+GNHlMmPL7Wy8nLM/ehtlJaXYdKQkRjSs7dstYh+jakN8xIL85IOm10Do0ePkbsEMoLoedXMMVXTDWrNkZlGo8H0q7/mX7vxN+EfMvHF+p9xLvki2vr44ZVpT8pai+jXmNowL7EwL+mw2TWwc+cOuUsgI4ieV800Bndn9YzsNldmI8L7oa2PH1KyMrB1/65mOYcUEtNS8MVfPwMA3nh8tuzTF0S/xtSGeYmFeUmHza6BfIXdza10oudVM43BVUUju82VmaWFJaZenbu78pfvUF5R0SznaU7FpSV47sO3UF5RgUlDRiIstIvcJQl/jakN8xIL85IOm10iGVRWVSGvsAAajQYuTk5yl6MIdwwdhUC/VriYnoqvN/8udzlG0el0ePWzD3Eu+SICfFvh5YeleyQwEZHSsdk1MGzYCLlLICOInFdu4dVRXacWsLSwlLka6TRnZtZW1pg3tbpJXPX7j0i/nN1s5zK1rzb8iq37d8PR3h7L5yyAk4OD3CUBEPsaUyPmJRbmJR02uwYSExPkLoGMIHJeufopDOqZrws0f2YDuvbE6D4DUVJWhmXfrW7Wc5nKnuOHsfzHtQCAJU8+j3b+rWWu6BqRrzE1Yl5iYV7SYbNrgH/wxCJyXvqVGFS2xq4Umc194FHY2dhiy75d2H5oX7Of71YkZ6ThhY/egVanxczJ92FEeH+5S6pF5GtMjZiXWJiXdNjsEsngytVm111FN6dJxc/TC0/f/RAA4I3VH+lH0c1NcWkpnv3gLeQXFWJozz54cvL9cpdERKRIbHYNdO/eQ+4SyAgi56XWaQxSZfbguEnoFdIZl/NysWTNJ5Kc0xg6nQ4LV/8PZ5ISEODrj6VPzYWFhfl9HIt8jakR8xIL85KO+X26ysjSUj03CimByHldUemjgqXKzNLCEotnPgd7W1ts3rsTW/fvluS8TfX1pj+wec8OONjZ48PnFqCFg6PcJdVL5GtMjZiXWJiXdNjsGjh8+JDcJZARRM7r2tPT1DWyK2Vmrb19Mef+RwAAi7/8GJfzciU7d0P2nziG97//EgDw1sznENSqjcwV3ZjI15gaMS+xMC/psNklkkHNNAY1PSpYDveMHI++nbsjpyAf8z5+FxWVlbLWk5qVibnL34ZWp8Vjd9yLUX0GyloPEZEasNk10Lq1+Y6wUF0i56W/QU1l0xikzszCwgKLZz4Hd2dX7Pv3KN76aiV0Op2kNdTIKyzAU8sWIrcwH4O6h+Opux6QpQ5jiHyNqRHzEgvzkg6bXQMhIaFyl0BGEDmvHJXeoCZHZj4tPfHR3Fdha22DX7dvwZd//SJ5DemXs/H40gU4l3wRgX6t8PZTc4V4mIjI15gaMS+xMC/psNk1EBW1Ve4SyAgi51UzjUFtI7tyZdYtOBRLn5oLAPjwxzXYsm+XZOc+cOIY7n3lGZxMOAd/T2+sevktuDi1kOz8t0Lka0yNmJdYmJd02OwSSUyn0+mnMahtZFdOo/sMxJz7qm9Ym//Je/h7785mPZ9Op8OaDb/i8aULcCU/D/269MAPb34An5YezXpeIiKqzUruAsyJo6OT3CWQEUTNq7CkGJVVlbC3tYOdja3c5UhK7symTZiM9CtZ+H7LX3jho3dw+mICnr7nQZNPKUjNysSiL1cg5lj13daPTrqnWc7T3OTOi4zDvMTCvKSj0cl1t0YDevToiaioaLnLIGoWyRlpGP/co/D39Mbfy7+UuxzV0el0+H7LX3j3289RpdViYPcwvPPUCyaZWlClrcKPkRux/Me1KCkrRQsHR7z5xLMY2XuACSonIqKGjB07ErGxsXW2cxqDge3bt8ldAhlB1Lxq1ntV23xdwDwy02g0eGDsJHw67024Ojkj5tgh3DP/Gfx7/swtHff8pSRMfeNFvL32M5SUlWJ0n4FYv+xToRtdc8iLmo55iYV5SYfTGAwUFRXKXQIZQdS8aprdli6ustYhB3PKrF+XHlj31nLMWb4EJy6cxX2vPodhvfrgkYl3o0eHjtBoNI0eo0pbhb1xR/Drti2IPrwflVVV8HR1xyvTnxS6ya1hTnlR45iXWJiXdNjsEknscn4uAMDd2VXWOgjw8/TC2tf+i//99DXWRW5E9OEDiD58AB0DgjBl9G3o16UnPN3cYG1lrX+NTqdDckYaNuzejt93RCL9chYAwNLCAncOj8Cc+x+BM+fiERGZDc7ZNVBaWgo7OzvJz0s3R9S8Pvnte6z85Ts8dvs9eObeqXKXIylzzuxyXi6+27IeP0dtRm5hfq3vOdk76Ed6q7RaFJeW6L/XyssHdw6PwKQhI+Hl1lLSmpubOedFdTEvsTAv0+Oc3SY4ffqU3CWQEUTN69o0Bjd5C5GBOWfW0sUVz9zzMCJXrMFbM+egd6eu8HJrCQuNBQpLilFQXISC4iIUl5bA1ckZ4wcMwxevLMHG9z/Ho7ffo7hGFzDvvKgu5iUW5iUdTmMwkJychO7de8hdBjWRqHldUfGcXREys7OxxaQhIzFpyEgAQGVVFYpLS2o9ZtjZ0alJc3pFJ0JedA3zEgvzkg6bXSKJqfkGNRFZWVpyDi4RkcA4jcFAr15hcpdARhA1r8t5OQDU2eyKmplaMS+xMC+xMC/psNk1UFVVJXcJZARR81LznF1RM1Mr5iUW5iUW5iUdNrsGjh07KncJZAQR8yorL0dhSTGsLK1U+atxETNTM+YlFuYlFuYlHTa7RBLSPz3NxUUVNzgRERHJjc2ugYCAQLlLICOImJd+vq5KHyghYmZqxrzEwrzEwrykw2bXAP/giUXEvNQ8XxcQMzM1Y15iYV5iYV7SYbNrIDp6m9wlkBFEzKvmUcFqXIkBEDMzNWNeYmFeYmFe0mGzSyShmmkM7i4uMldCRESkDmx2DTg7swERiYh5XcnLAwC0dFbnNAYRM1Mz5iUW5iUW5iUdNrsGhgwZKncJZAQR81L709NEzEzNmJdYmJdYmJd02OwaiIzcKncJZAQR87qcr96npwFiZqZmzEsszEsszEs6bHYNlJWVyl0CGUHEvNS+GoOImakZ8xIL8xIL85IOm10iCal9GgMREZHUNDqdTid3Edfr0aMnoqKiJT9vRUUFrK2tJT8v3RzR8qqorESvh2+HhcYCh7/5A5YWlnKXJDnRMlM75iUW5iUW5mV6Y8eORGxsbJ3tHNk1EBd3XO4SyAii5XXl6hq7bs7Oqmx0AfEyUzvmJRbmJRbmJR02uwZSU1PkLoGMIFpeap+vC4iXmdoxL7EwL7EwL+mw2SWSCOfrEhERSY/NroHw8D5yl0BGEC2vmqenqbnZFS0ztWNeYmFeYmFe0mGza6CkpETuEsgIouXFkV3xMlM75iUW5iUW5iUdNrsGTpyIk7sEMoJoedU0u+7OrrLWISfRMlM75iUW5iUW5iUdNrtEEsnOvQIA8HRzl7kSIiIi9WCzayAoKFjuEsgIouWVmVPd7Hq5tZS5EvmIlpnaMS+xMC+xMC/psNk14O/vL3cJZATR8sq62ux6uqp3ZFe0zNSOeYmFeYmFeUmHza6BnTt3yF0CGUGkvHQ6HbI4jUGozIh5iYZ5iYV5SYfNLpEEikpKUFJWCntbWzjZO8hdDhERkWqw2TXg5qbeJ1uJSKS8MnMuAwA8XVtCo9HIXI18RMqMmJdomJdYmJd02OwaGDhwsNwlkBFEyqtmJQYPlX+4iZQZMS/RMC+xMC/pNLnZXblyJQIDA2FnZ4ewsDDs2rWrwf0XLlwIjUZT68vHx+eWC25OW7ZslrsEMoJIeelXYnBV70oMgFiZEfMSDfMSC/OSTpOa3XXr1mH27NmYP38+jhw5ggEDBmDcuHFISkpq8HUhISFIS0vTf8XFmfcCyhUVFXKXQEYQKS/9SgwqvjkNECszYl6iYV5iYV7SaVKz+/7772PatGl47LHH0LFjR3z00Ufw9fXFJ5980uDrrKys4OPjo//y9PQ0SdFEosnMrZ6z66XyZpeIiEhqVo3tUF5ejkOHDmHu3Lm1to8ZMwZ79uxp8LUXLlyAv78/bGxs0LdvXyxZsgTt2rWrd99Vq1Zh1apVAID09HRs2LAeANCxYyc4O7tg//69AABvbx+EhYVj06YNAABra2tERIxDTMwu5OTkAACGDBmKlJQUnD9/DgDQuXNX2NvbIzb2AADAz88fXbt20/8KwdbWDqNHj4GTUwv9eYcNG4HExAQkJiYAALp37wFLS0scPnwIANC6dRuEhIQiKmorAMDR0QnDh4/A9u3bUFRUCAAYNWoMTp8+heTk6hHwXr3CUFVVhWPHjgIAAgICERAQiOjobQAAZ2cXDBkyFJGRW1FWVgoAiIgYh7i440hNTQEAhIf3QUlJif4xg0FBwfD399cvYeLm5oaBAwdjy5bN+n81jh8/AYcOxSIjIx0A0Ldvf+Tn5yE+/iQAoEOHEHh6eiEmpnpqioeHJ/r1649NmzZAq9XCwsIC48dPwL59e5GdnQWgeq5RVlYmzpw5LXlOO3fuQH5+HnQ6HQoLC4XI6cLFRABAckIiNmxYr6qcgGvXk06nw4YN6802JzVfT4Y51VxPXbt2R2pqCnMy85xqrqea64s5mXdONdeTv38rlJaWMicT5nQjGp1Op2toh9TUVPj7+2PHjh0YMmSIfvuiRYvw3Xff4fTp0/W+bvPmzSgoKEBoaCgyMzOxePFinDp1CidOnEDLlg3PW+zRoyeioqIb3Kc5HDx4AL1795H8vHRzRMpr6qIXcfjUCXzxyhL06dxd7nJkI1JmxLxEw7zEwrxMb+zYkYiNja2zvdGR3RrXL5ek0+kaXEJp3Lhxtf6/X79+aNeuHdauXYs5c+Y09bSSqvkXC4lBpLyuzdlV9w1qImVGzEs0zEsszEs6jc7Z9fDwgKWlJdLTa4eSmZkJb2/vJp/IyckJnTt3xtmzZ42vkkhgOp1Ov/SYmh8VTEREJIdGm10bGxuEhYUhMjKy1vbIyEgMGDCgyScqLS3FqVOn4Ovra3yVEunbt7/cJZARRMmrsKQYJWVlsLe1g6O9vdzlyEqUzKga8xIL8xIL85JOk1ZjmDNnDtasWYPVq1cjPj4es2fPRmpqKmbOnAkAWLFiBUJDQ2u9Zu7cudixYwcSEhKwf/9+3HXXXSgqKsLUqVNN/y5MpGZSOYlBlLyycq6txKDmp6cB4mRG1ZiXWJiXWJiXdJrU7N5777348MMPsXjxYvTo0QO7d+/Gpk2b0LZtWwBAdnZ2nRvVLl26hPvuuw8hISGYPHkybG1tsW/fPv1rzFHNXYUkBlHyyuR8XT1RMqNqzEsszEsszEs6Tb5BbdasWZg1a1a931u4cCEWLlxYa9uPP/54S4URKUWWfr6uuh8VTEREJIcmPy5YDTp0CJG7BDKCKHlxJYZrRMmMqjEvsTAvsTAv6bDZNeDp6SV3CWQEUfKqaXb59DRxMqNqzEsszEsszEs6bHYN1Dz5g8QgSl76aQxsdoXJjKoxL7EwL7EwL+mw2SVqZvppDFxjl4iISHJsdg14eHjKXQIZQZS8Mq8uPcY5u+JkRtWYl1iYl1iYl3TY7Bro148LPItEhLx0Oh3n7BoQITO6hnmJhXmJhXlJh82ugU2bNshdAhlBhLyu5OehrKIczo5OcLBT99PTADEyo2uYl1iYl1iYl3TY7BrQarVyl0BGECGv9MtZAABf/roKgBiZ0TXMSyzMSyzMSzpsdg1YWPDHIRIR8krLzgQA+LZkswuIkRldw7zEwrzEwrykw5+0gfHjJ8hdAhlBhLzSro7s+rTkeoqAGJnRNcxLLMxLLMxLOmx2Dezbt1fuEsgIIuSVls1pDIZEyIyuYV5iYV5iYV7SYbNrIPtqY0JiECEv/ZxdTmMAIEZmdA3zEgvzEgvzkg6bXaJmxJFdIiIiebHZNTBw4GC5SyAjiJBX2uXqG9Q4Z7eaCJnRNcxLLMxLLMxLOmx2DWRlZcpdAhnB3PMqKy/H5bxcWFpYwNPNTe5yzIK5Z0a1MS+xMC+xMC/psNk1cObMablLICOYe14ZV7IBAN7uHrC0sJS5GvNg7plRbcxLLMxLLMxLOmx2iZqJftkxztclIiKSDZtdAx07dpK7BDKCuefFB0rUZe6ZUW3MSyzMSyzMSzpsdg04O7vIXQIZwdzzStMvO8ab02qYe2ZUG/MSC/MSC/OSDptdA/v3c4FnkZh7XulcdqwOc8+MamNeYmFeYmFe0mGzS9RMrj0qmM0uERGRXNjsGvD29pG7BDKCuefFB0rUZe6ZUW3MSyzMSyzMSzpsdg2EhYXLXQIZwZzz0ul0Bo8K5pzdGuacGdXFvMTCvMTCvKTDZtfApk0b5C6BjGDOeeUW5KO0vAwtHBzh5OAgdzlmw5wzo7qYl1iYl1iYl3TY7BI1A/1KDB4c1SUiIpITm10D1tbWcpdARjDnvGrW2PVp6SFzJebFnDOjupiXWJiXWJiXdNjsGoiIGCd3CWQEc84rKT0NANDay1fmSsyLOWdGdTEvsTAvsTAv6bDZNRATs0vuEsgI5pxXUkYqAKC1D5tdQ+acGdXFvMTCvMTCvKTDZtdATk6O3CWQEcw5r+SM6pHdNt5+MldiXsw5M6qLeYmFeYmFeUmHzS5RM6gZ2W3rw2aXiIhITmx2DQwZMlTuEsgI5ppXWXk50i9nw9LCgqsxXMdcM6P6MS+xMC+xMC/psNk1kJKSIncJZARzzetSZjp0Oh38PL1hbWUldzlmxVwzo/oxL7EwL7EwL+mw2TVw/vw5uUsgI5hrXjVTGNp48+a065lrZlQ/5iUW5iUW5iUdNrtEJlaz7FgbztclIiKSHZtdA507d5W7BDKCueaVrB/ZZbN7PXPNjOrHvMTCvMTCvKTDZteAvb293CWQEcw1r6SaZce4xm4d5poZ1Y95iYV5iYV5SYfNroHY2ANyl0BGMNe8ktKvPlCCI7t1mGtmVD/mJRbmJRbmJR02u0QmVFFZgbTsLFhoLNDKy1vucoiIiFSPza4BPz9/uUsgI5hjXpcyM6DVaeHr4QlrK2u5yzE75pgZ3RjzEgvzEgvzkg6bXQNdu3aTuwQygjnmpb85jSsx1MscM6MbY15iYV5iYV7SYbNrYMuWzXKXQEYwx7z0y45xjd16mWNmdGPMSyzMSyzMSzpsdolMqOaBErw5jYiIyDyw2TVga2sndwlkBHPM62JazTQGjuzWxxwzoxtjXmJhXmJhXtJhs2tg9OgxcpdARjDHvC6kJgMA2vm1lrkS82SOmdGNMS+xMC+xMC/psNk1sHPnDrlLICOYW16FxcVIv5wFG2tr+Hv5yF2OWTK3zKhhzEsszEsszEs6bHYN5OfnyV0CGcHc8kq4Oqrb1scfVpaWMldjnswtM2oY8xIL8xIL85IOm10iE6mZwhDk30bmSoiIiKgGm10Dw4aNkLsEMoK55XU+JQkA0K4V5+veiLllRg1jXmJhXmJhXtJhs2sgMTFB7hLICOaW14VLvDmtMeaWGTWMeYmFeYmFeUmHza4B/sETi7nlVTOyG9SK0xhuxNwyo4YxL7EwL7EwL+mw2SUygbzCAlzKTIeNtTXa+vB550REROaCza6B7t17yF0CGcGc8jqRcA4AENo2CNZWVjJXY77MKTNqHPMSC/MSC/OSDptdA5ZcLkoo5pTXv+dPAwC6BnWQuRLzZk6ZUeOYl1iYl1iYl3TY7Bo4fPiQ3CWQEcwpr3/PnwUAdA5qL3Ml5s2cMqPGMS+xMC+xMC/psNklMoF/z58BAHQNCpG5EiIiIjLEZtdA69a8i14k5pJXxpVsZOVeQQsHR7Tx9pW7HLNmLplR0zAvsTAvsTAv6bDZNRASEip3CWQEc8mrZlS3c7v2sLDgJdUQc8mMmoZ5iYV5iYV5SYd/MxuIitoqdwlkBHPJq2a+bpd2vDmtMeaSGTUN8xIL8xIL85IOm12iW/TvheqR3S5ciYGIiMjssNk14OjoJHcJZARzyEur1eLEhasju1yJoVHmkBk1HfMSC/MSC/OSDptdA8OHj5C7BDKCOeSVlJGGguIieLm1hLe7h9zlmD1zyIyajnmJhXmJhXlJh82uge3bt8ldAhnBHPI6cvokAE5haCpzyIyajnmJhXmJhXlJh82ugaKiQrlLICOYQ14HTx4HAPTu2FXmSsRgDplR0zEvsTAvsTAv6bDZJbpJOp0OB+PjAAC9O3eTuRoiIiKqD5tdA6NGjZG7BDKC3HldykxH+uUsuDo5o32rtrLWIgq5MyPjMC+xMC+xMC/psNk1cPr0KblLICPIndeBq1MYwjt24cMkmkjuzMg4zEsszEsszEs6/BvaQHJyktwlkBHkzivm2CEAQN8u3WWtQyRyZ0bGYV5iYV5iYV7SYbNLdBMqKiuxN+4IAGBQ93CZqyEiIqIbYbNroFevMLlLICPImdfRs/EoLClGO//WaOXlI1sdouE1JhbmJRbmJRbmJR02uwaqqqrkLoGMIGdeu44cBAAM7sFRXWPwGhML8xIL8xIL85IOm10Dx44dlbsEMoJceel0OmzdvxsAMLRnH1lqEBWvMbEwL7EwL7EwL+mw2SUy0rGz8UjJyoCXe0uEhXaRuxwiIiJqAJtdAwEBgXKXQEaQK68NMdEAgPH9h3LJMSPxGhML8xIL8xIL85IO/6Y2wD94YpEjr+LSUmzeswMAMH7gMMnPLzpeY2JhXmJhXmJhXtJhs2sgOnqb3CWQEeTI669d/yC/qBDdgkPRMSBI8vOLjteYWJiXWJiXWJiXdNjsEjWRVqvFt3//CQB4aPwd8hZDRERETcJm14Czs4vcJZARpM5ry75dSExLgZ+HF0b1HiDpuZWC15hYmJdYmJdYmJd0NDqdTid3Edfr0aMnoqKi5S6DSK+yqgr/9+IsJKZdwsLHnsGdwyPkLomIiIgMjB07ErGxsXW2c2TXQGTkVrlLICNImdcPW/9CYtol+Ht6Y9LgkZKdV2l4jYmFeYmFeYmFeUmHza6BsrJSuUsgI0iVV3JGGj766WsAwEsPPw5rKytJzqtEvMbEwrzEwrzEwrykw2aXqAGl5WWY8+ESlJSVYVz/IRge1k/ukoiIiMgInLNroKKiAtbW1pKfl25Oc+dVUVmJFz96B1EH96C1ty9+XPwhnB2dmu18asBrTCzMSyzMSyzMy/Q4Z7cJ4uKOy10CGaE58yoqKcacD99C1ME9aOHgiA+ee4WNrgnwGhML8xIL8xIL85JOk5vdlStXIjAwEHZ2dggLC8OuXbua5TVySk1NkbsEMkJz5XXgxDHc9+pziD58AC0cHPHZvDcR0oZPujEFXmNiYV5iYV5iYV7SadKdNuvWrcPs2bOxcuVKDBo0CCtXrsS4ceNw8uRJtGnTxmSvIZJL+uUs7Dh8AJv27MDh0ycAAIF+rfC/519DgK+/zNURERHRzWrSnN2+ffuiW7du+Pzzz/Xb2rdvj7vuugtLly412WtqyDFn98SFs0hOSYG7u5t+2/U/mPp+VPVuq+8ETX5tffvVd7j6zqK7bp+mva7+czatjvrebVN+Jqb4Webm5sLV1bWB19bdVlWlRXFpCQpKipCSmYGk9FRcTE9FxpVs/T4tHBzx8Pj/w/QJd8LWxqa+Cugmpaenw8fHR+4yqImYl1iYl1iYl+ndaM5uoyO75eXlOHToEObOnVtr+5gxY7Bnzx6TvUZub321EnHnz8hdBsnE3tYWA7r1wtCefTG6z0A4OTjIXZIilZSUyF0CGYF5iYV5iYV5SafRZjc7OxtVVVXw9vautd3b2xtRUVEme82qVauwatUqANX/2tmwYT0AoGPHTnB2dsH+/XuvHsMHYWHh2LRpAwDA2toaERHjEBOzCzk5OQCAIUOGIiUlBefPnwMAdO7cFfb29oiNPQAA8PPzR9eu3bBly2YAgK2tHToGBCMzIwOODo4AAFdXV5SWlqL06jp4Tk5O0ECDwsKC6tfY2cHBwRE5Vy4D0MDS0hJubm7IyclBVVUVNBrA3b0liouK9MdwdnaGTgcUFFQfw97eHg729rhy5QoAwMrKCm5u7rh85TK02ioAgIeHJwoLClBWVgYAcHFxQVWVVl+Ho6MjbG1t9cewsbGBm5sbsrKy9KOdXl5eyMvL0x/Dzc0NlZWVKLxah6OTE2xtbZFz3TEyMzOh0+mg0Wjg5e2NnCs5qKgoB1D93srKylBUVAgAaNGiBaysrJGTU30MOzs7uLq6ISM9DQCgsbCAj7cPLl/ORnlFBQDA08MTJSUl+mM4O7vA0soSOVdy9D8fFxcXZGSkAwAsLCzh7e2NrKwsVFZWIOfKFYSEdkRRURGKigqhgQaurq7QWGj0x3BwdIRzixZIv3oMG2sbBLYNwOWsLDha26JlC2fcPnYC8i9fRmpKClBYgvzcHORczsaxY0cBAAEBgQgICER09DZ9nUOGDEVk5Fb9OokREeMQF3dcPwcrPLwPSkpKcOJEHAAgKCgY/v7+2Llzhz6DgQMHY8uWzai4+vMYP34CDh2K1b/fvn37Iz8/D/HxJwEAHTqEwNPTCzExu/R/Nvr1649NmzZAq9XCwsIC48dPwL59e5GdnQUAGDhwMLKyMnHmzGlJr6fRo8dg584dyM/PAwAMGzYCiYkJ+OWXnxAe3hvdu/eApaUlDh8+BABo3boNQkJCERW19eqfaycMHz4C27dv0//5GDVqDE6fPoXk5CQAQK9eYaiqqmJOzZBTYmICgOrPcltbG+Zk5jnVXE9r136J8PDezMnMc6q5nhITE/Doo08wJxPmdCONTmNITU29+kPYicGDB+u3v/HGG/jhhx9w6tQpk7zGkFxLj23YsB4TJkyS/Lx0c5iXeJiZWJiXWJiXWJiX6d300mMeHh6wtLREenp6re2ZmZl1Rm5v5TXmICgoWO4SyAjMSzzMTCzMSyzMSyzMSzqNNrs2NjYICwtDZGRkre2RkZEYMGCAyV5jDvz9ede9SJiXeJiZWJiXWJiXWJiXdJq0zu6cOXOwZs0arF69GvHx8Zg9ezZSU1Mxc+ZMAMCKFSsQGhpq1GvMUc18FRID8xIPMxML8xIL8xIL85JOk9bZvffee3H58mUsXrwYaWlp6NKlCzZt2oS2bdsCqL6J4fTp00a9hoiIiIiouTX5CWqzZs1CYmIiysrKcOjQIQwZMkT/vYULF9a7zmlDrzFHbm5uje9EZoN5iYeZiYV5iYV5iYV5SadJD5WQmlyrMRARERGRmG56NQY1qVkvj8TAvMTDzMTCvMTCvMTCvKTDZtdAzeLJJAbmJR5mJhbmJRbmJRbmJR02u0RERESkWJyza6DmkXYkBuYlHmYmFuYlFuYlFuZlepyz2wSHDtX9AZH5Yl7iYWZiYV5iYV5iYV7SYbNrICMjvfGdyGwwL/EwM7EwL7EwL7EwL+mw2SUiIiIixWKza6Bv3/5yl0BGYF7iYWZiYV5iYV5iYV7SYbNrID8/T+4SyAjMSzzMTCzMSyzMSyzMSzpsdg3Ex5+UuwQyAvMSDzMTC/MSC/MSC/OSDptdIiIiIlIss1xn18PDAwEBAZKfNysrC56enpKfl24O8xIPMxML8xIL8xIL8zK9xMREZGdn19luls2uXMLDw+tdjJjME/MSDzMTC/MSC/MSC/OSDqcxEBEREZFisdklIiIiIsVis2vg8ccfl7sEMgLzEg8zEwvzEgvzEgvzkg7n7BIRERGRYnFkl4iIiIgUi80uERERESkWm10iIiIiUiw2uwBWrlyJwMBA2NnZISwsDLt27ZK7JGrAzp07MWnSJPj7+0Oj0WDNmjVyl0QNWLp0KXr37g1nZ2d4enpi4sSJ+Pfff+Uui27g448/Rrdu3eDs7AxnZ2f0798fGzdulLssaoIlS5ZAo9Hg6aeflrsUuoGFCxdCo9HU+vLx8ZG7LMVTfbO7bt06zJ49G/Pnz8eRI0cwYMAAjBs3DklJSXKXRjdQWFiILl26YPny5bC3t5e7HGpEdHQ0Zs2ahT179mDbtm2wsrLCqFGjcOXKFblLo3q0atUK77zzDg4fPozY2FiMGDECd9xxB44fPy53adSAffv24fPPP0e3bt3kLoUaERISgrS0NP1XXFyc3CUpnupXY+jbty+6deuGzz//XL+tffv2uOuuu7B06VIZK6OmcHJywooVKzBt2jS5S6EmKiwshIuLC/744w9MnDhR7nKoCdzd3bF06VI88cQTcpdC9cjLy0OvXr3w+eefY9GiRejSpQtWrFghd1lUj4ULF+KXX37hb7ckpuqR3fLychw6dAhjxoyptX3MmDHYs2ePTFURKVtBQQG0Wi3c3NzkLoUaUVVVhR9//BGFhYUYMGCA3OXQDTz++OO46667MGLECLlLoSa4cOEC/P39ERgYiClTpuDChQtyl6R4VnIXIKfs7GxUVVXB29u71nZvb29ERUXJVBWRss2ePRs9evRA//795S6FbiAuLg79+/dHaWkpnJyc8Pvvv6Nr165yl0X1+Pzzz3Hu3Dl88803cpdCTdC3b1+sWbMGoaGhyMzMxOLFizFgwACcOHECLVu2lLs8xVJ1s1tDo9HU+n+dTldnGxHdujlz5mD37t3YvXs3LC0t5S6HbiAkJARHjx5Fbm4ufv31V0ydOhXR0dHo0qWL3KWRgdOnT2P+/PnYtWsXbGxs5C6HmmDcuHG1/r9fv35o164d1q5dizlz5shUlfKputn18PCApaUl0tPTa23PzMysM9pLRLfmueeew48//ojt27ejXbt2cpdDDbCxsUFwcDAAIDw8HAcPHsQHH3yAL774QubKyNDevXuRnZ1d6x8hVVVV2LlzJz799FMUFRXB1tZWxgqpMU5OTujcuTPOnj0rdymKpuo5uzY2NggLC0NkZGSt7ZGRkZyfRmRCs2fPxvfff49t27YhNDRU7nLISFqtFmVlZXKXQde54447EBcXh6NHj+q/wsPDMWXKFBw9epSjvQIoLS3FqVOn4OvrK3cpiqbqkV2g+teqDz30EPr06YOBAwfi008/RWpqKmbOnCl3aXQDhYWFOHfuHIDqv4STkpJw9OhRuLu7o02bNjJXR9d76qmn8M033+CPP/6Am5ub/jcpTk5OcHJykrk6ut68efNw2223oXXr1igoKMD333+P6OhorrVrhlxdXeHq6lprm6OjI9zd3TnlxEzNnTsXEydORJs2bZCZmYk333wTRUVFmDp1qtylKZrqm917770Xly9fxuLFi5GWloYuXbpg06ZNaNu2rdyl0Q3ExsZi+PDh+v9//fXX8frrr2Pq1Kl8wIQZWrlyJQBg5MiRtba//vrrWLhwoQwVUUPS09Px4IMPIj09HS4uLujWrRs2b96MiIgIuUsjEt6lS5dw3333ITs7G56enujXrx/27dvHnqOZqX6dXSIiIiJSLlXP2SUiIiIiZWOzS0RERESKxWaXiIiIiBSLzS4RERERKRabXSIiIiJSLDa7RERERKRYbHaJiIiISLHY7BIRERGRYrHZJSIyE2lpabCwsEBMTIzcpRARKQabXSIiM/HHH3/A09MT/fv3l7sUIiLFYLNLRCQjnU6HiooKANXN7qRJk2BhwY9mIiJT4ScqEZGEunfvjunTp+OTTz5Bx44dYW1tjb///hv5+fmIjo7GHXfcod83MjISEyZMgL+/P+zs7NC6dWvMnTtX3xwTEVHjrOQugIhILcrLyxEfH4+srCycP38eb775JpycnNC7d29s3LgRNjY2GDVqlH7/Y8eOYeTIkZg1axYcHR1x+PBhvPrqq3B3d8f8+fNlfCdEROLQ6HQ6ndxFEBGpweHDhxEWFoahQ4fin3/+gaWlpf579957L7RaLX7++ed6X1tVVQWdToc777wTlZWV2Lhxo1RlExEJjdMYiIgkcuTIEQDAsmXLajW65eXl+Pvvv2tNYaisrMSaNWvQv39/eHh4wMrKCtbW1li/fj2cnJykLp2ISFhsdomIJHLkyBH4+fkhPDy81vZ//vkHJSUluO222/Tb7r//fvznP//BsGHDsHbtWuzbtw/R0dHQaDTo0qWL1KUTEQmLzS4RkUSOHDmC3r1719n+xx9/YOjQoXB1dQUAHD16FD///DM+++wzLF26FLfddhv69u2LrKws6HQ69OzZE0D16K+tra3+OEOHDtWPDqenp6Ndu3YoLy/H9u3bMWDAAPTq1QsdOnTAqlWrmv29EhGZC96gRkQkAa1Wi+PHj+PFF1+stV2n0+Gvv/7CK6+8ot+WlJQEAAgJCdFvKyoqwoIFCwAAvXr1AgBYWVnB1tYWZWVlOHz4MDQaDXJycgAAH330EWbNmgUbGxvcf//9iI2Nhb+/P7RaLfLz85v1vRIRmROO7BIRSeDs2bMoLCzUN6o19u3bh7S0NNx+++36bT179oSNjQ1eeOEFREZG4ptvvkG/fv1QXl4OLy8v+Pn56fd1c3NDQUEBli5diqVLlyInJwfFxcVYt24dnnjiCQCAr68vZs2ahR9++AHFxcX6EWQiIjVgs0tEJIGam9Oub3b/+OMPhIeHo1WrVvptrVu3xnfffYeLFy9i0qRJ+Pjjj/Hf//4XwcHB+ikMNdzc3LBnzx6Ul5ejf//+KCkpwVdffYV7770XLVq0AAAcOHAATz/9NKKjoxESEoLi4uJmfrdEROaDS48REckoNDQUDz30UK1pDMYYMWIEsrOz8b///Q/Dhg1Du3bt4OjoiKioKHh7e+PUqVPo0KEDLCwscPHiRfTq1Qupqam15voSESkZ5+wSEcno1KlTt/R6Nzc3FBcXY9iwYQAAGxsbDBo0CN7e3gCADz74ANu3b4ejoyPs7e3x008/sdElIlXhyC4RERERKRbn7BIRERGRYrHZJSIiIiLFYrNLRERERIrFZpeIiIiIFIvNLhEREREpFptdIiIiIlIsNrtEREREpFhsdomIiIhIsf4fZC2j+pCmraEAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot\n", "postproc.rdf.plot(\n", " scaling=postproc.rdf.a_ws,\n", " xlabel = r'$r/a_{ws}$')" ] }, { "cell_type": "markdown", "id": "copyrighted-wildlife", "metadata": {}, "source": [ "Nice!\n", "\n", "## Static Structure Factor\n", "\n", "The next observable we want to measure is the Static Structure Factor. [Here](https://en.wikipedia.org/wiki/Structure_factor) you can find a long Wikipedia article about it.\n", "In short it is the correlation function of the density fluctuations and Sarkas calculates it by\n", "\n", "$$ S(\\mathbf k) = \\langle n(-\\mathbf k) n(\\mathbf k) \\rangle. $$\n", "\n", "For each timestep Sarkas calculates \n", "\n", "$$ n(\\mathbf k, t) = \\sum_j^N e^{- i \\mathbf k \\cdot \\mathbf r_i(t)} $$\n", "\n", "then takes the product $n(-\\mathbf k,t) n(\\mathbf k,t)$ and averages over the time length of each slice\n", "\n", "$$ \\langle n(-\\mathbf k) n(\\mathbf k) \\rangle = \\frac{1}{M} \\sum_{m}^M n(-\\mathbf k, m \\Delta t) n(\\mathbf k, m \\Delta t) $$\n", "\n", "where $M$ is the total number of saved (slice) timesteps and $\\Delta t$ is our snapshot timestep.\n", "\n", "Notice that $\\mathbf k$ is a vector, as such there are multiple directions we need to consider. The first important thing to understand is that even though we are using periodic boundary conditions to simulate an infinite system, the number of wavelengths that can fit into the simulation box are finite and given by \n", "\n", "$$ \\mathbf k (n_x, n_y , n_z) = 2\\pi \\left ( \\frac{n_x}{L_x} , \\frac{n_y}{L_y} , \\frac{n_z}{L_z} \\right ), \\quad n_x, n_y, n_z = 0, 1, 2, \\dots $$\n", "\n", "where $n_{x,y,z}$ can take only integer values. This means that the minimum value is \n", "\n", "$$ k_{\\rm min} = \\frac{2\\pi}{L}, $$ \n", "\n", "with $ L = L_x = L_y = L_z$. The calculation of $S(\\mathbf k)$ for every combination of the triplet $n_x, n_y, n_z$ can be very slow. Therefore, it is often the case that researchers calculate only multiple integers of $k_{\\rm min}$ along the three principal axis, that is\n", "\n", "$$ \\mathbf k(n_x,0,0), \\quad \\mathbf k(0, n_y, 0), \\quad \\mathbf k (0, 0, n_z). $$\n", "\n", "This is the default way in Sarkas and it corresponds to the choice `angle_averaging = 'principal_axis'`. If we wanted to calculate every possible combination of the triplet then we would choose `angle_averaging = 'full'`.\n", "\n", "In the YAML file we passed the value `angle_averaging = 'custom'`, in order to show this feature.\n", "Sarkas calculated $S(\\mathbf k)$ up to $ka = 12$, where $a = a_{\\rm ws}$ for brevity. It calculated every possible combination of the triplet up to `max_aa_ka_value = 4.1` and then used multiples of the principal axis for the rest.\n", "\n", "Same as before let's take a look at the data" ] }, { "cell_type": "code", "execution_count": 6, "id": "purple-bouquet", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Inverse WavelengthH-H SSF
NaNMeanStd
01.589833e+100.0203230.010770
12.248364e+100.0099770.005976
22.753672e+100.0114180.003642
33.179666e+100.0016560.001383
43.554975e+100.0033750.001673
............
4229.856965e+110.9990400.002366
4231.001595e+121.0951940.015077
4241.017493e+120.9602600.018005
4251.033392e+120.9669480.064647
4261.049290e+121.0044540.052012
\n", "

427 rows × 3 columns

\n", "
" ], "text/plain": [ " Inverse Wavelength H-H SSF \n", " NaN Mean Std\n", "0 1.589833e+10 0.020323 0.010770\n", "1 2.248364e+10 0.009977 0.005976\n", "2 2.753672e+10 0.011418 0.003642\n", "3 3.179666e+10 0.001656 0.001383\n", "4 3.554975e+10 0.003375 0.001673\n", ".. ... ... ...\n", "422 9.856965e+11 0.999040 0.002366\n", "423 1.001595e+12 1.095194 0.015077\n", "424 1.017493e+12 0.960260 0.018005\n", "425 1.033392e+12 0.966948 0.064647\n", "426 1.049290e+12 1.004454 0.052012\n", "\n", "[427 rows x 3 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "postproc.ssf.dataframe" ] }, { "cell_type": "markdown", "id": "packed-joseph", "metadata": {}, "source": [ "Note that in this case the Std column is not `NaN`, because we have chosen to divide the simulation into two slices.\n", "\n", "As you can see Sarkas will calculate 2902 different combinations which correspond to 427 unique values of $ka$. This means that our $S(k)$ will be an array with 427 elements. \n", "\n", "Let's compute it! Again a progress bar will show up in your notebook, but does not display on the webpage. " ] }, { "cell_type": "code", "execution_count": 7, "id": "loaded-sampling", "metadata": {}, "outputs": [], "source": [ "postproc.ssf.parse()" ] }, { "cell_type": "markdown", "id": "described-insurance", "metadata": {}, "source": [ "As you can see Sarkas calculates $n(\\mathbf k, t)$ first for each slice, only one in this case. This is the slow part of the calculation. Then computes $S(k)$ by averaging over all the configurations. \n", "\n", "Let's take a look at the dataframe" ] }, { "cell_type": "code", "execution_count": 8, "id": "genuine-extension", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Inverse WavelengthH-H SSF
NaNMeanStd
01.589833e+100.0203230.010770
12.248364e+100.0099770.005976
22.753672e+100.0114180.003642
33.179666e+100.0016560.001383
43.554975e+100.0033750.001673
............
4229.856965e+110.9990400.002366
4231.001595e+121.0951940.015077
4241.017493e+120.9602600.018005
4251.033392e+120.9669480.064647
4261.049290e+121.0044540.052012
\n", "

427 rows × 3 columns

\n", "
" ], "text/plain": [ " Inverse Wavelength H-H SSF \n", " NaN Mean Std\n", "0 1.589833e+10 0.020323 0.010770\n", "1 2.248364e+10 0.009977 0.005976\n", "2 2.753672e+10 0.011418 0.003642\n", "3 3.179666e+10 0.001656 0.001383\n", "4 3.554975e+10 0.003375 0.001673\n", ".. ... ... ...\n", "422 9.856965e+11 0.999040 0.002366\n", "423 1.001595e+12 1.095194 0.015077\n", "424 1.017493e+12 0.960260 0.018005\n", "425 1.033392e+12 0.966948 0.064647\n", "426 1.049290e+12 1.004454 0.052012\n", "\n", "[427 rows x 3 columns]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "postproc.ssf.dataframe" ] }, { "cell_type": "markdown", "id": "monetary-operation", "metadata": {}, "source": [ "Let's plot it! This time, though, let's plot also the std as a shaded area around the mean." ] }, { "cell_type": "code", "execution_count": 9, "id": "twelve-settlement", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(0.0, 3.0)]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the axes handle for the errorbar plot\n", "ax = postproc.ssf.plot(\n", " scaling = 1./postproc.ssf.a_ws, # Need to divide because a_ws multiplies k\n", " y = ('H-H SSF', \"Mean\"), # I want only the second column. Otherwise it will plot all the columns\n", " xlabel = r'$ka$'\n", ")\n", "# Errorbar plot\n", "ax.fill_between( \n", " postproc.ssf.dataframe[('Inverse Wavelength')].iloc[:,0] * postproc.ssf.a_ws,\n", " postproc.ssf.dataframe[(\"H-H SSF\", \"Mean\")] + postproc.ssf.dataframe[(\"H-H SSF\", \"Std\")],\n", " postproc.ssf.dataframe[(\"H-H SSF\", \"Mean\")] - postproc.ssf.dataframe[(\"H-H SSF\", \"Std\")],\n", " alpha = 0.2\n", ")\n", "ax.set(ylim = (0, 3))" ] }, { "cell_type": "markdown", "id": "ranging-keeping", "metadata": {}, "source": [ "As you can see $S(\\mathbf k)$ is quite noisy for $ka > 4.0$. There are two reasons for this. \n", "\n", "- Slice averaging \n", "- Angle averaging\n", "\n", "Slice averaging it actually not that significant here and it contributes only to the shaded areas. As a matter of fact notice how smooth is the plot for $ka < 4.0$. \n", "\n", "Principal axis averaging is the culprit here. For each $k$ value there are only $3 \\times 1500$ configuration on which to average, where $1500$ is the number of snapshots and $3$ comes from the three principal directions of $k$. For example $ka = 6.15$ corresponds to the three directions \n", "\n", "$$ ka = \\frac{2 \\pi}{L} |(34, 0, 0)| = \\frac{2 \\pi}{L} |(0,34,0)| = \\frac{2 \\pi}{L} |(0, 0, 34)|$$\n", "\n", "To reduce the noise we could choose among: increasing the number of snapshots, use the `angle_averaging = 'full'`, or increasing the number of particles. All these options are rather slow. More importantly we don't know which is the most effective. \n", "\n", "Probably, `angle_averaging = 'full'` will be more effective for the large $ka$ value, but it definitely won't reduce any noise at low $ka$ values. However, assuming we don't want to restart the simulation (_i.e._ increase the number of particles) let's take a look at what it would take to do the full angle averaging.\n", "\n", "The following code computes" ] }, { "cell_type": "code", "execution_count": 10, "id": "opening-soccer", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "===================== Static Structure Function ====================== \n", "\n", "k wavevector information saved in: \n", " Simulations/yocp_pppm/PostProcessing/k_space_data/k_arrays.npz\n", "n(k,t) Data saved in: \n", " Simulations/yocp_pppm/PostProcessing/k_space_data/nkt.h5\n", "Data saved in: \n", " Simulations/yocp_pppm/PostProcessing/StaticStructureFunction/Production/StaticStructureFunction_yocp.h5\n", "Data accessible at: self.k_list, self.k_counts, self.ka_values, self.dataframe\n", "\n", "Smallest wavevector k_min = 2 pi / L = 3.9 / N^(1/3)\n", "k_min = 0.1809 / a_ws = 1.5898e+10 [1/m]\n", "\n", "Angle averaging choice: full\n", "\tMaximum angle averaged k harmonics = n_x, n_y, n_z = 66, 66, 66\n", "\tLargest angle averaged k_max = k_min * sqrt( n_x^2 + n_y^2 + n_z^2)\n", "\tk_max = 20.6818 / a_ws = 1.8174e+12 [1/m]\n", "\n", "Total number of k values to calculate = 300762\n", "No. of unique ka values to calculate = 14344\n" ] } ], "source": [ "postproc.ssf.angle_averaging = 'full'\n", "# Re-Initialize the class with the new parameters. \n", "postproc.ssf.setup(postproc.parameters)\n", "# Check\n", "postproc.ssf.pretty_print()" ] }, { "cell_type": "markdown", "id": "environmental-pizza", "metadata": {}, "source": [ "Notice that we now have 300 762 combinations of $(n_x, n_y, n_z)$ to calculate. This will be rather slow." ] }, { "cell_type": "code", "execution_count": null, "id": "cb5c7cd1-5491-4d04-b7b6-7587c5e1625f", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.10" } }, "nbformat": 4, "nbformat_minor": 5 }