{ "cells": [ { "cell_type": "markdown", "id": "23f0ea38", "metadata": {}, "source": [ "# Constant Energy Q-plane\n", "\n", "After one has gotten an overview of the data measured through the Viewer3D (explained in QuickView3D.html the next step is to plot only as single plane of constant energy as function of H, K, and L or $Q_x$ and $Q_y$ and depending on the boolean state of the “rlu” key word argument. Two different binning methods are currently provided: Polar and XY. What is done is that the points measured are binned either. For explanation of units and size of bins, see below\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "4eb04ebf", "metadata": { "execution": { "iopub.execute_input": "2023-05-01T08:21:50.446599Z", "iopub.status.busy": "2023-05-01T08:21:50.445719Z", "iopub.status.idle": "2023-05-01T08:21:53.077979Z", "shell.execute_reply": "2023-05-01T08:21:53.077066Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "\n", "from MJOLNIR.Data import DataSet\n", "from MJOLNIR import _tools # Usefull tools useful across MJOLNIR\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "## Set larger figure for this tutorial\n", "plt.rcParams['figure.figsize'] = [18, 12]\n", "plt.rcParams['figure.dpi'] = 200\n" ] }, { "cell_type": "markdown", "id": "7960ed08", "metadata": {}, "source": [ "Next, loading of the data files and converting using binning 8" ] }, { "cell_type": "code", "execution_count": 2, "id": "02d0ab87", "metadata": { "execution": { "iopub.execute_input": "2023-05-01T08:21:53.082162Z", "iopub.status.busy": "2023-05-01T08:21:53.082162Z", "iopub.status.idle": "2023-05-01T08:22:00.081446Z", "shell.execute_reply": "2023-05-01T08:22:00.080547Z" } }, "outputs": [], "source": [ "numbers = '483-489,494-500' # String of data numbers\n", "fileList = _tools.fileListGenerator(numbers,r'C:\\Users\\lass_j\\Documents\\CAMEA2018',2018) # Create file list from 2018 in specified folder\n", "\n", "\n", "# Create the data set\n", "ds = DataSet.DataSet(fileList)\n", "ds.convertDataFile(binning=8)" ] }, { "cell_type": "markdown", "id": "82a280fe", "metadata": {}, "source": [ "Setting up the constant energy cut, one needs to provide the energy range over which the data are integrated as well as the size of the pixels. First example utilizes polar binning where x corresponds to the radial direction and y the tangental, i.e. angular, direction." ] }, { "cell_type": "code", "execution_count": 3, "id": "a0faf237", "metadata": { "execution": { "iopub.execute_input": "2023-05-01T08:22:00.085445Z", "iopub.status.busy": "2023-05-01T08:22:00.084448Z", "iopub.status.idle": "2023-05-01T08:22:01.679031Z", "shell.execute_reply": "2023-05-01T08:22:01.678114Z" } }, "outputs": [], "source": [ "\n", "# Choose energy limits for binning\n", "EMin = 3.5\n", "EMax = 4.0\n", "# Generate a figure making use of binning in polar coordinates\n", "Data,ax = ds.plotQPlane(EMin=EMin, EMax=EMax,xBinTolerance=0.03,yBinTolerance=0.03,\n", " binning='polar',vmin=2e-7,vmax=1e-5, colorbar= True)" ] }, { "cell_type": "markdown", "id": "8ef95f02", "metadata": {}, "source": [ "The above figure is a bit too far zoomed out. Luckily, the axis has a method to zoom to include a given RLU point" ] }, { "cell_type": "code", "execution_count": 4, "id": "ae22c2de", "metadata": { "execution": { "iopub.execute_input": "2023-05-01T08:22:01.685035Z", "iopub.status.busy": "2023-05-01T08:22:01.685035Z", "iopub.status.idle": "2023-05-01T08:22:02.241594Z", "shell.execute_reply": "2023-05-01T08:22:02.240884Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.set_xlim(-2.6,0.68)\n", "ax.set_ylim(-1.76,2.58)\n", "ax.get_figure()" ] }, { "cell_type": "markdown", "id": "21380e5b", "metadata": {}, "source": [ "Next, generating the same figure as above but utilizing pixels as defined in $Q_x$ and $Q_y$" ] }, { "cell_type": "code", "execution_count": 5, "id": "1d0f7714", "metadata": { "execution": { "iopub.execute_input": "2023-05-01T08:22:02.244660Z", "iopub.status.busy": "2023-05-01T08:22:02.244561Z", "iopub.status.idle": "2023-05-01T08:22:03.517744Z", "shell.execute_reply": "2023-05-01T08:22:03.516802Z" } }, "outputs": [ { "data": { "image/png": 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bgWeWx++tM6xNUgcY3EhSbxgnGCMqu5eqMdLtBgyriLgwIu4st+dMe/t3KTKeAXwC+PuI2H+ubeLCzPwa8I/l6QuBf4qI50bEIRHxjIj4IPBn5ftfBv6mY39ISXs5beQ8AxxJkjrMnpzuWQEcVx7vO+29N9Qc/1q51VP7q4FXAfsDLwaeX27TfRE4NzMdHipVwMBGkqTqGOT0mIhYARzbSh2ZORoRLwHOBX4bOAVYBvwU+CbwYeBjDlOTOs/gRuqe6f/+2pWIQINlPIutqnupGgY5bZaZ90D9AZeZeTFw8Qyvb5nP9fOoP4FPlZukihncSL1npn+XBj7SYDLIkaQ2MrhRu40sXly3TMyjDMDYo3MusSYNpbEKEw9UdR8Z5EhSWxjcSJLUOwxyJKkFBjeS1N/syRlMBjmS1ASDG0mSepdBjiQ1yABHVYrj6yfcHNtvfnNy+Nd/b7E1g8WkA9LgMsiRpHkyuFG7LVi2rNL7LTxqVd0yu+/ZWEFLpN6RCeNZzTAyF++ojkGOJNVhcCNJUn8xyJGkWRjcSP1npiFo/lvWXEw8MJgMciRpGr8Qqd88tHrfeZVbfv+2zjakRzn3Rho+BjmSVDp7vwu63QQNmd0/e1TdMttXLmnb/R78+SfXLXPw6Oi86tr945+02hxJ6hiDHElD7wPnfKTbTdAAigUL6pZxDrLUfWOMMMZIZfdSNQxyJA0th6VJkjSYDHIkDR2DG0nShMyoMIW0iQeqYpAjaWgY3KjX7HxC/UU8D1z/yLzqGnnosbplHlu9om6ZR37h6Lplll5987zaJEndYpAjaSgY4KhqC55SP1iQ1H2mkB5MBjmSBlrPBjcxAjne7VZIA8VU0ZImGORIGlg9GeCEmXUkSeo0gxxJA6fnghsDG80iR4IlW3bOWWZs30UsvOPuunXtfrj+3J1951HmkV86tm4ZaZCM5QhjWVEK6YruI4McSQOmpwIcg5uhNn7PJraf8YxuN6Nhjx1Sf32fpRW0Q5JaYZAjaSD0XXDjfJy+N7LPkm43oWsWnHh83TJjd9xZQUsmOR9HzRonGK9okc5xEw9UxiBHUt/rqQCnHoMbSZI6ziBHUt/q2eAmx/fuzTG4UQvGHnqoLfXsfmDLPEo9tS33kvrFeIUppO3JqY5BjqS+1LMBznQGN0Nt4Wj9v//5JBUYa0dj5umJX3+wwrtJUmcY5EjqKwY36hUjK57Q7SZ0zbafXVa3zAF3dL4dE5yPI2k6gxxJfaNvAhxJUt8whfRgMsiR1PMMbqRqLHj6z3S7CZLUFgY5knqaAY762eKtO+qWaVdSgXYY+4/v1i3zyMt/roKWFKYPQ/P/A3VCkULaxAODxiBHUk/yy4z6UR64f7eb0HELd2TdMkuvvrkj93bujaT5MsiR1HMMcNQPdt/3Ixb8jOmWZzKy7751y4w/9lgFLZHqG2eEscoWA3VOTlUMciT1DIMbSZLUDoaTknqCAU6N6QuJSpKkhtiTI6mrDG5q1AY3MeJaOwMgF42w8P5tc5bZXU1T2mbBrvpzcqR+YgrpwWSQI6lrDHBK9tz0rbFlS7vdhJ408oSD53x/96b7KmqJpGFlkCOpcgY3pXrBjb05GmJmUlNVihTSVSUeMIV0Vfz1oaRKGeBQBC/23qi0YP/BTzstSVWzJ0dSZQxwmmBvTt/LLVu73YS2WnrPtjnfj4e2V9MQSZqDQY6kShjg1Mhxe3IGxMht32X3L/zsnGUWVNSWXrHlPx9Zt8yyDzsnR71jPIOxrGYY2XhF95FBjqQKGOCoX40sXtztJkiSmmCQI6mjDHBmMZ/eHIepqccseNpTK7mPSQdUpTFGGKtomnpV95FBjqQOMsCpY7ZAx+BmoOw65TgW3vjNbjejLWK3n01J/cEgR1LbGdw0yeCmL2U4xr7W7qVzP48Vf/u1iloizc94jjBe0SKdVd1HBjmS2swAp0EGNj1tfNcuFh6yotvNGCjTh6L5f4akTjDIkdQ2flmR1Cjn30jqBIMcSS0zuJGGw9hdd8/5/gO/c2pFLZHax8QDg8kgR1JLDHA07PbZ8GN2HXVIt5vREyK73QJJKhhOdkBEXBoRGRGvbENdJ0bElRGxKSJ2RcT9EXFtRPxyJ6+V5sMAR8Ng9wNbYOmS2TdJfW0cGCsXBO305izM6hjktFlEvAS4sE11nQ3cBpwPHA4sAg4FzgI+HxGXduJaaT4McCRJUq8yyGmjiHgx8Ana8Fwj4iTgYxTByS3A84AVwCnANWWx10fE69p5rVTPaSPnGeBIDcqxsTk3Sd0zzkilm6rhk26DiBiJiEsoAojFbar27cBS4C7gBZn5lczcmpm3AucCE+loLomIA9p4rTQrgxtpZgse2z3nNigM1iT1CxMPtCgiXgS8BzixfOk24Fkt1nk8cGZ5+s7MfLT2/czMiLgI+FVgOUXg8uFWr5XmYoBTkRhx7Zxe5NybeXnSF+6b8/3P/+C9FbVE0rCzJ6d111MEOI8DFwMva0OdZ5T7BK6dqUBm3gvcXp6ubdO10owMcCoQI8UmSarUWI5UuqkaPunWJfBp4OmZeQnQjv76Z5b7jZm5ZY5yE4FKbc9RK9dKezHA6bCZghuDnYGz4Ok/0+0mSNJQcbha647PzPVtrvOocj/3qmuwsdyvjIiFmbm7xWulKQxwOshAZqCM7NgFI8P9d7rwqFXdboLUlHGCcaKye6kaBjkt6kCAA0UmNIAH65R7qNwHsAzY0uK10h4GOB00jwBnZPFixnftqqAxakYuWtDtJvSc3fdsnPP9deNXzfm+JLWTQU5vmpjhOlqnXO37S6btm7lWMrjpspFFk/8tG+j0jt3fu4sFP3tct5shqQPGK5wrM+6cnMoY5PSmVub1VJLDc+PGjWzZUnT+bNiwgX322WevMitXrqyiKQNrx44dMx530tn7XVDJfYZeju/Vm1Mb3EiDaHS03u/eetemTZv2HO/cuXOvn3+bN2/uVtMkzcKfqr1pe7mv18OytOZ44qdHK9fO22mnnVa3zDXXXNNotZrFjTfe2PF7fOCcj3T8Htpb3eDGlNL943HXiZnLDTfc0O0mNG3t2rXdboKkBhnk9KZt5f6gOuWWlfsxJufgtHKthpQBThfkOCOL5147ePxx84H0svElU//+Rrbv7FJLJLVijGCsooTDYyYeqIxBTm9aDzwPqJeq5shyf1/mnl/1tnLtvK1bt46NG4tJpqeeeqrD1Tpgx44de3pw1qxZw5IlnZk65RC13rNXcGNvTk8Y+9b3iGefWL+gZnT66ad3uwlNW79+MsfQzp07ufnmm4HJn3+bN29mzZo13WqepBkY5PSmO8r9MRFxYGY+PEu5k8v97TWvtXLtvK1atYrt24uRccceeyxLly6tc4VasWTJko48Y5MMdNf4rl179ebYe6NB1c8/J1avXr3neHR0lA0bNgCTP//6+c8mGM9gPCtKIV3RfeRioL3qunK/ADhzpgIRcQSTC39e36ZrNUQMcHrL+OO7DXAG3IKnPbXbTZCkoWGQ04My8wfATeXpJRExZX5NRATwPoq/vy3Ale24VsPDAKd3jO/aNXdwk+MOVesTYwfvW/zPOts2xFwjR71snBHGKtrGh/0/gwr5pLskIi6MiDvL7TkzFHkjMA6sBr4aEadHxIqIOBn4FDDxLfXizNzexms14AxwetBMQYzBTU/KxQtm3SRJvcM5Od2zAphYWW7f6W9m5q0R8SrgQ8CJwBdmqOP9mXlZO6/VYDPA6QMGNpIktcwgp4dl5uURcRvwB8DzgScBjwK3Apdl5mc6ca0GkwFOjzO4kaSuGM8RxrOawU1V3UcGOW2XmfdA/STomXkxcPE8yt0BNJXjt5VrNVgMcKRqPL58PxY92PD6yn3POTeSeo1BjjTgDHCkNvraNxlfc1K3WyGpjYrFQKtJ7exioNWxz0waYAY4kiRpGBnkSFIPiYWLut0EddDIs362202QpKHgcDVpQNmL038mApxYuIjc/XiXW6Nm5WJ/tEr9xMQDg8knLQ0gA5z+EgsX2YPTR0ZuvJ2RXeOzbpKk7vPXTdKAMcDpH3MFNrFgATk2VmFrJGk4jVNdQgB/DVIde3KkATIQAU4Mx39Lc/bclGvmxIIFFbVGap7poyX1IntypAFhgDMgpi0Kao9O/xlfvIDxxbMHqH7Kpd7inJzB5JOWBsDABThDEOzslVggx/cKcNTDYo5NktR1g/9NQhpwAxfgDCODG0mS2srhalIfM8Dpb7n78Tnn3ThMbTDVy6Rn+nCpWmM5wlhFw8iquo/syZH61kAHOEPUszFTIJNjYwY4fS4XxqybJHVaRJwYEVdGxKaI2BUR90fEtRHxyy3W++yI+GhE3FvWuy0i/iUiXh8R+7Sr/e1gT47UhwxwBpOBTR/5139n5OSnzfr22L7+eJX6RRKMVzShLiu4T0ScDXwSqO02PhQ4CzgrIv4yM3+/iXpfD7wfqB2CcBDwC+X2mxHxoszc0nTj28ieHKnPGOAMoBgxwJEktSwiTgI+RhHg3AI8D1gBnAJcUxZ7fUS8rsF6Xwj8b4oA507gJcBhwNOBv6RYAuhk4OMt/hHaxl81SX1kIAIcKIKZ6YHOkAY49eZnSJI6a8Dm5LwdWArcBbwgMx8tX98aEedSBCHnAZdExBWZ+cg86/1DivyRm4E1mflA+fr9wO9HxCPAW4EXRMQvZObX2vTnaZo9OVKfGJgAZ0JtUGOAY7AzYPa572Ee32/BjNvor5zEyNIls279xIVApd4REccDZ5an76wJcADIzAQuouh1WQ6c20D1zyn3V9cEOLX+tub41Abq7RiDHKkPnL3fBd1uQmcM6dowsXCRQc0AGP/Gtxl5bNeMmyR1wRnlPoFrZyqQmfcCt5enaxuoe+KH9Ww/vGrTQvbE+GuDHKnHfeCcj3S7CWojgxtJ6i3jBONZ0dbZxAPPLPcb60z+nwhyntVA3f9W7l8cEctneP+3a47/pYF6O8Y5OVIPM8AZIDEy95o4ro0iScPm0Ii5g57M3NRAfUeV+7vrlNtY7ldGxMLM3D2Puv8Y+E/Ak4AvRcRbgG8ABwPnA39Qlvu/mXlbA23uGIMcqUcN7BC1YVQmWcixsb0CHYObwbV76eyDJfKYI2a/8N+/04HWSJrNGMFYRYObxqb25Nwyj0sa6fpZUe4frFPuoZq6lwF1Uz5n5tfLDGt/SZFF7XPTimwF3lG+3xMMcqQeNHBJBobZLOmyDW4G1GOj3W6BpOE1kbmk3n9Ete83ku3kIGC2bGzLKBIOrKJ+T1IlDHKkHmOAMyDmWAvINXEGiEGN1PeynC9T1b1qnEKRkrldOvbDJSIuAt5bnl4F/BnwHeBAioQHfwb8OvDciHh+Zn6vU22ZL4McSWq3WQKcGCl+uMWCBQY6mtVjv/pzHPjVDTO+t/snM2VuldSnNjc456ae7eW+Xu/M0prjur+piYjjgHeXp3+bmb9X8/YDwBUR8SWK5ARPBv4a+M/zanEHGeRIPcRenAFQJ8DZc26gM9QeWX0gkd1uRWtcI0fqOdvK/UF1yi0r92PUn78DRea0BRQB0ZtnKpCZ90bE/wL+imJB0NWZ+f151N0xppCWeoQBzoCYtu5PjMReAY6Gw7Ivfp8YY8ZNUu8YZ6TSrYPWl/tVdcodWe7vy5zXYnVPLfffysyH5yj35Zrj4+dRb0fZkyP1AAOcwWRwM/h2/3ATC5fPtGSEJFXujnJ/TEQcOEdAcnK5v32W96dbXO73aaAtjZTtCIMcSWqzWLBgrx6d6RyqprnseMZsv4hdxZJv3jPjO/n47EtdxCGzB2K7vz/z/B9pWIxlMFZR4oEO3+c6iuFiC4AzgX+cXiAijmBy0dDr51nv94BfAU6IiCdn5v2zlPtPNcffnWfdHWOQI3WZvTiDJRYuKg9GZg10DHAEsOuA2b/sLJ5rQEibLXjCwbO+d/2WD1bXEEktycwfRMRNwC8Bl0TEdZk5sSYOUaw8+j6K6SpbgCvnWfXHgDdSxA3/OyJePn2YW0Q8GXhbefofmfnt1v40rXNOjtRFBjiDZU+As+eFqf/F5tiYAc6Q2f+e7bNuktQBbwTGgdXAVyPi9IhYEREnA58CJr54XJyZU/4jiog7y+2K2tcz89+A/1ee/hrwxYh4UUQ8MSJWRsQrgZuBw4DHgQs79YdrhD05UpcY4AyWvQKcaQxuBtfurVuLIYozOqzStkhq3HiF6+R0+j6ZeWtEvAr4EHAi8IUZir0/My+b4fXjyv1Ma/e8hmJuziuA55fbdI8AF2TmVxtueAcY5EhdYIAzWOYKcAxu1G67Tjhyxtd3PmH2z+H2Q2cLwuBJH/9py22S1Dsy8/KIuA34A4pg5EnAo8CtwGWZ+Zkm6twFnB8RHwb+K/ALwBOBXcAPgM8Df5WZ97XnT9E6gxypYgY4g6Nu783uxytqifrRinUb2fZLMwcsDx2zeMbXAQ6+c0db2/GDN/xMW+uT+k3mCONZzQyOrOw+eQdwQYPX1O1mysx1wLpm21UlgxypQgY4g2PO3huDG5Xy1jtYeLhD1iSpagY5UkUMcPrIHJnRYPYAx+BmeDksUepfYwRjVJRCuqL7yCBHkqaayIg2Q6BjcKNecN+aJTO+PnrE7OvkLNx/dNb3Fty1tOU2SVKvMciRKmAvTp+YlvK5NtAxwFEnHPTtB2d8fcspT5jjqvb+JvjwX9g04+tfesH72nofSaqSQY7UYQY4fWJ6gFP7lgGOWjC2+cezvjdy8AEVtkTSTMaz86mda++largYqCTNFuCUvTjTg5nc/bgBjiRJPcyeHKmD7MXpA3UCnL1eNrhRj9r/+7P/SN9xkp9baTbjFaaQruo+MsiROsYAp4/NEOAY3KgTcsMPZ3x9+YYfEk9ZNfNFcfCML48un324zYrrZk5W8IRbtwD7zHzRd2atTpJ6nkGOpOGW41N7c+ZIHS01Y6700iaTlbovCcYr+teY/quvjH1mUgfYi9OnDHAkSRoI9uRIbWaA04cMbiRJGigGOZIk9aCxO+6c8fUVd+8/+0ULFsxc10MPzfj67MuHSsNjLIOxilJIV3UfGeRIbWUvjqRGjI+OdrsJkjSQnJPTBhFxYkRcGRGbImJXRNwfEddGxC83Wd/lEZENbs+bVsel87zuwnY8AxngSJLUjyZSSFe1qRo+6RZFxNnAbcD5wOHAIuBQ4Czg8xFxaUVNeWTa+bMquq8wwJEkSeolDldrQUScBHyMIrC5BfgD4FvA0cBbgbXA6yNifWZe1kDVvwvU62H5z8DVFBlI35WZt9W0awR4Rnn6WuDKOerZ2UC7NAMDHElVGnv00Y7fY934VR2/h9QrxgnGK5orU1WqahnktOrtwFLgLuAFmTnxk2drRJwLfBw4D7gkIq7IzOm9LTPKzJ3MEXxExJOBv6cIcL5MEVDVOg6YmJl6U0271GYGOJIkSb3H4WpNiojjgTPL03dODyQyM4GLgHFgOXBuG2//98AKiiFqF2Tulf/25HK/Hdes7hgDHEmSpN5kkNO8M8p9AtfOVCAz7wVuL0/XtuOmEfFrwK+Up28p7zHdRJDzjcycfaltNc0AR5KkwZBEMWStgi0drlYZg5zmPbPcb8zMLXOUmwhyWk4EEBFLgPeUp3cAfztL0Yl73R4RvxMRX4mIhyJiNCK+GxHviojlrbZHkiRJ6kXOyWneUeX+7jrlNpb7lRGxMDNbWXvttcCR5fEfztRLExEBnFSevgZYPK3I8eX22xFxdmZ+vYX2DCV7cSRJGhzjSXWJB7KS2wh7clqxotw/WKfcxDLTASxr9mYRsRB4Y3l6e2ZeN0vRpwAHlseLgL8Dnk3R3hOBd1Escn0IcF1EHN1sm4aRAY4kSVLvsyeneUvKfb3lqmvfXzJrqfpeBqwsj/9sjnKHA5uAw4Dfyswrat7bCrwlIm4BPgUcTDH87aUttEuSJKlvVblIp4uBVscgp3lVT+if6MX5PkWAMqPM/DJwREQszsxds5T5dER8jmLB0nMi4uDMrNcjNcXGjRvZsqWYirRhwwb22WefvcqsXLlyr9f62dn7XdDtJkhSJUZH6/3+brhs2rRpz/HOnTv3+vm3efPmbjVN0iwMcpq3vdzX651ZWnPc1E+NiHgqk8kEPjxDyui9zBbg1PgMRZAzQjGcbV0jbTrttNPqlrnmmmsaqbKnfeCcj3S7CZJUmRtuuKHbTegpa9eu7XYTJDXIIKd528r9QXXKLSv3Y9SfvzObX605/liTdUz3w5rjQ9pUpyRJUl8Zz6gw8YAppKtikNO89cDzgFV1yk1kQ7tvPj0ws5hYSPSWzNwwnwsiIsoFSWdTm3Vt+6ylZrFu3To2biwSx5166qkDPVzNYWqShs3pp5/e7Sb0lPXr1+853rlzJzfffDMw+fNv8+bNrFmzplvNkzQDg5zm3VHuj4mIAzPz4VnKTSzMefss788pIlYwOVTt6nmU/yjwIuBh4Jg5ip5Qc7x+1lKzWLVqFdu3F7HRsccey9KlS+tc0Z/MpiZpGA3q/+nNWr169Z7j0dFRNmwoft848fPP59XfJhbqrOpeqoYpHpo3kcJ5AXDmTAUi4ggmFw29vsn7/CLs+Rdx8zzKbwOWA0dHxAkzFSjX0nl5eXoPcGeTbZMkDZh141d1uwmS1DKDnCZl5g+Am8rTSyJiytycMpB4H8Uz3gJc2eStJnpxErh1HuU/WnN8admO6d7MZPD13jrD2oaWvTiSJEn9ySCnNW8ExoHVwFcj4vSIWBERJ1OkeZ74lnxxZk6Z9xIRF0bEneX2nDnuMdEb85M5hsTtkZlfA/6xPH0h8E8R8dyIOCQinhERH2RynZ0vA38zjz+nJEnSQMoy8UAVW5p4oDLOyWlBZt4aEa8CPgScCHxhhmLvz8zLZnh9BXBcebzvHLeZSGywrYGmvQrYH3gx8Pxym+6LwLktJEMYaPbiSJIk9S97clqUmZdTJBe4EtgEPE6RKnodsDYzL2rxFsvK/bYG2jQKvAR4KcXcoQfKdv2YIhD7DeD0zHykxbZJkiT1tap6capMVS17ctoiM+8AGsoznJkXAxfPo9zqemVmuS4phsx9qpnrh5m9OJIkSf3NIEeSJElDy8VAB5PD1aQa9uJIkiT1P4McSZIkSQPF4WpSyV4cSZKGj8PVBpM9OZIkSZIGij05EvbiSJI0rBIYp5oelqzkLgJ7ciQDHEkqrRu/qttNkKS2sCdHkiRJQ8s5OYPJnhwNNXtxJEmSBo9BjoaWAY4kSdJgcriaJEmShtY4FQ5XqyjBgezJ0ZCyF0eSJGlw2ZOjoWOAI0mSJph4YDDZkyNJkiRpoNiTo6FiL44kSaplT85gsidHQ8MAR5IkaTgY5EiSJEkaKA5X01CwF0eSJM0og6xqGJnD1SpjT44kSZKkgWJPjgaevTiSVN+68au63QSpK8aJyhbpdDHQ6tiTI0mSJGmg2JOjgWYvjiRJmosppAeTPTmSJEmSBoo9ORpY9uJI0vzN9H+m83Qk9SuDHEmSJA2trDCFdGWpquVwNQ0me3EkSZKGlz05kiRJGlrjWV1CgPGs5DbCnhwNIHtxJEmShptBjiRJ2otJByT1M4eraaDYiyNJkhph4oHBZE+OJEmSpIFiT44Ghr04kiSpUZlRWeIBe3KqY0+OJEmSpIFiT44Ggr04kiSpGQlkRamdzSBdHXtyJEmSJA0Ugxz1PXtxJEmSVMvhapIkSRpa4wTjVJMQoKr7yJ4cSZIkSQPGnhz1NYeqSZKkVrgY6GCyJ0eSJEnSQLEnR33LXhxJ6ox141d1uwlSZcYrXAy0qvvInhxJkiRJA8YgR5IkSdJAcbia+pJD1SRJUjtkFltV91I1DHIkSdIU03+R5BwdSf3G4WptEBEnRsSVEbEpInZFxP0RcW1E/HKL9V4aETmP7cIq29Vt9uJIkqS2KVNIV7Fh4oHKGOS0KCLOBm4DzgcOBxYBhwJnAZ+PiEtbqP5ZPdouSZIkqWcZ5LQgIk4CPkYRQNwCPA9YAZwCXFMWe31EvK6JukeAZ5SnrwUOmGP7u6raJUmSNEiq6sWpctFRGeS06u3AUuAu4AWZ+ZXM3JqZtwLnAhODmC+JiAMarPs4YP/y+KbMfHSO7fEK29VVDlWTJElSPQY5TYqI44Ezy9N3Zuajte9nZgIXAePAcorgohEnl/vtwHd6qF2SpCFi0gFJ/cggp3lnlPsErp2pQGbeC9xenq5tsP6JIOcbmTnWQ+3qGntxJElSu41nVLqpGgY5zXtmud+YmVvmKDcRTDSaRGCi/O0R8TsR8ZWIeCgiRiPiuxHxrohY3oV2SZIkST3NdXKad1S5v7tOuY3lfmVELMzM3fUqjogATipPXwMsnlbk+HL77Yg4OzO/XkW7JEmSBo2LgQ4me3Kat6LcP1in3EPlPoBl86z7KcCB5fEiiuxpzy7veSLwLmA3cAhwXUQcXVG7usahapIkSZovg5zmLSn3o3XK1b6/ZNZSUx0ObKJIDvDKzHxNZt5WZkj7Vma+BXhZWfZg4D0VtUuSJEnqeQ5Xa14jyQAakplfBo6IiMWZuWuWMp+OiM9RLO55TkQcnJkPdrJdtTZu3MiWLcWUnw0bNrDPPvvsVWblypVtudfZ+13QlnokSY0bHa33O7PBt2nTpj3HO3fu3Ovn3+bNm7vVNLVBMVytmoQADlerjkFO87aX+3q9IEtrjhv6STFbgFPjMxRBzgjFcLZ1VbQL4LTTTqtb5pprrmm0WklSj7nhhhu63YSuW7t2bbebIKlBbQ1yIqKSX7ln5hVV3KeObeX+oDrllpX7MerPk2nUD2uODyn328p9N9slSRoQHzjnI3uOL7z6/C62ROqMJKrrycEU0lVpd0/O5RTrs3RaLwQ564HnAavqlDuy3N+XmeON3CAioly8cza1WdcmenA63i6AdevWsXFjkaDt1FNP7dhwNYeqSVLvOP3007vdhK5Yv379nuOdO3dy8803A5M//zZv3syaNWu61TxJM+jUcLVOhqm9MprxjnJ/TEQcmJkPz1JuYlHP22d5fy8R8VHgRcDDwDFzFD2h5njif+COtavWqlWr2L69iKuOPfZYli5dWucKSVK/G9b/61evXr3neHR0lA0bNgCTP/+G9bkMiqS6L5e98iV2GHQqyHka8Fib69wP+Fab62zFdcBfAQuAM4F/nF4gIo5gcnHO6xuoexuwHFgeESdk5ndmqDuAl5en9wB3VtCuSpk2WpIkSc3oVJCzMTPbGuRExH7trK9VmfmDiLgJ+CXgkoi4LjMn1p6ZCELeR5EUYAtwZQPVfxR4bXl8aUScPsOwtTczGai8d+L9DrdLkiRJ6nmuk9OaN1KsZbMa+GpEnB4RKyLiZOBTwERXxMWZub32woi4MCLuLLfn1L6XmV9jsgfmhcA/RcRzI+KQiHhGRHwQ+LPy/S8Df9OudkmSNJN141d1uwlSR2RGpZuq0e6enIMB2t2LU9a5PSIObne9rcjMWyPiVcCHgBOBL8xQ7P2ZedkMr68AjiuP953h/VcB+wMvBp5fbtN9ETh3euKAFtvVExyqJkmSpGa1tScnMx+qHRrVbp2uvxmZeTnFJP4rgU3A4xQpmdcBazPzoibrHQVeAryUYp7NA2XdP6YIWn4DOD0zH6myXZIkSQMlK95UiXavk3Nk/VJ7jAM7gK110iT3vMy8A2go13FmXgxcXKdMUgwv+1RV7eoF9uJIkiSpFe0ernYPjceo4xFxN3Aj8PeZ+fU2t0mSJLWo9hdQzs/RQKlyroxzcirTicQD0eC2AHgK8FvAv0TEX3agTZIkSZKGRLt7ci5poGxQTLhfTrGo5SkUQdfrImJ7Zr6lzW1TH3ComiRJUmsi4kTgTRSJq54IbAVuBS7LzKbXSIyIxcBrgJcBx1MkyfoRRTKsP8/M77fY9LZpa5CTmY0EOVNExKHAX1JMtP8fEfHhzLyzzmWSJElS0zKLrap7dVpEnA18ElhU8/KhwFnAWRHxl5n5+03UeyRF8qvjp711FPBfgVdExMsy89qmGt5mPbNOTmZuBn4duIWiXf+1uy1S1ezFkSRJal5EnAR8jCLAuQV4HsWyJacA15TFXh8Rr2uw3n2Bf6IIcHYBf0Qx3eQo4LcpeoqWAv/YYCKyjumZIAegXO/lryiGsj2vu62RJEnSoBuwxUDfThFs3AW8IDO/kplbM/NW4FxgImvIJRFxQAP1vo0iqBkHzsnMd2TmhszcmJn/D/jPwG5gP+C/tesP04qeCnJKN5f7Y7vaCkmSJKlPRMTxwJnl6Tsz89Ha98ulSS6iCFSWUwQ986l3Yh4OwIcy87rpZTLz34F/BsaAZzbT/nbrxSDngXK/f1dboUo5VE2SJHVFRrVb55wx8ScCZpwXk5n3AreXp2vnWe9pwMHl8bvnKHc2sCgzT5tnvR3Vi0HOfuV+Z1dbIUmSJPWPZ5b7jZm5ZY5yE0HOs+ZZ73PK/T2ZeXftGxGxJ7lBZu4se4t6QrtTSLfDU8v95q62QpIkzWii991FQaWWHBoxd89OZm5qoL6jyv3dcxUCNpb7lRGxMDN31yn/s+X++wAR8Z+A/06RnvqgiNgKfB54e2aub6C9HdWLQc4F5f72OUtpYDhUTZIkdUsXU0jfMo9LGhnftqLcP1in3EM1dS8D5ur1AXhyud8aEW+lSG5Q267lwPnAr0bEyzPzM/NucQf11HC1iHg5RZCTQE88IEmSJKkPLCn3o3XK1b6/ZNZSkyaysD0PeAfwbeBXKKaYHAz8F+DHTKaQPnGe7e2otvbkNJEXexFF9PdUikVAX1y+/k2KHN+SJElS52S5VXWvSafQ3ukZY22sq9a+5f5Q4LvAL2TmI+VrjwEfiYhbgNsoAp93AC/pUFvmrd3D1e6htY9JUESCL53H+EANAIeqSZKkIbW5wTk39Wwv9/V6Z5bWHNfr9YEikJnw1poAZ4/M/F5E/F+KNXJ+OSL2y8zt08tVqRNzcprNjbcD+Ajw5sysN5ZQkiR1We0vqkxCoH5V0SKde+7VQdvK/UF1yi0r92PUn78DUBvUfGmOcl+hCHIWU6x3+R/zqLtj2h3kXNJA2XGKwGYLxaqst2XmY3NfIkmSJGkG6ynmzayqU25iesl9mTk+j3rvBn6+PN4xR7mHa46XzlqqIm0NcjKzkSBHkiRJUnvcUe6PiYgDM/PhWcqdXO7nm8n4m8BvTNQNfGeWck+qOb5vnnV3TE9lV9NwcT6OJEnqCVnR1lnXlfsFwJkzFYiII5hcNPT6edb7/9Ucv3SOcqeX+3sxyNlbRJwQEa+PiNd3uy2SJElSP8jMHwA3laeXRMSUuTlRrDz6Porv/1uAK+dZ73eAfylP/yAijpteJiJ+Dvj18vTDmVWtPDS7ngtyKMb8/W/gL7rcDkmSNA8mHVA/m0g8UNXWYW+kmPe+GvhqRJweESsi4mTgU8DEMJqLp2c/i4g7y+2KGep9DcV8nP2Bf4mI10bEkRFxWET8HvAFiqVh7gbe3Zk/WmM6kV1NqsuhapIkSe2VmbdGxKuADwEnUgQf070/My+b4fWJHpq91u7JzG9FxK9QBErLgcvKrdbdwIsz89Fm299OvdiTI0mS+oS9OFJvyczLKZILXAlsAh6nSBW9DlibmRc1We+XgKcC76RIcrCdIqPaN4H/CZycmd9usfltY0+OJEmShlc1SQEm71XFbTLvAC5o8Jq6Y+kyc0s5nO1tvTDvZi4GOaqcQ9UkaTDYiyMNpe8AoxFxB0UvzsT2H5k52r1mTWWQI0mSpCEW5VbVvQbCvsCp5TZhPCK+z9TA55uZ+eOqGwcGOZIkSZLm72+BkygSG+xb83pQJC84DnjZnhcjfsy0wAdY3+nhbgY5kiRpThPD0hxurIE0gHNyOikzXzdxHBFPpVhctHZ70rRLngi8qNwmPFY73C0z/67d7TTIUaX8ASlJ7TcRhIyOjnLDDTcAcPrpp3P2fg3NO573fSQJIDPXA+uBT0y8FhFPZO/AZzVTszovZepwt94OciLi/7ahmtVtqEOSpIHQSmDRyLX+EkpSO2TmT4Abyg2AiFgCPJ2pgc/EcLeOTFRqd0/OKxmIjjhJkqrV7V6Sbt9f6hqHq3VcZu4A/q3c9qgZ7tZ2nRiuNjBpI9Re/pZQkgoGFJI0Zbhb27U1yMnMkfqlJEkaPgY2Uo9KoP46mO27V5+IiFVV3CczN3aiXhMPSJLUIQY2kvrYD6hmhFZHOkl6NsiJiLMy83PdbockSY0yuJH6R2axVXWvPtTJVncsiOq5ICciDgU+AJwDLOhyc9QmzseRNOgMbCQNqNcAO9tc5z4Ui4p2TEeCnIh4OnARsAY4FPgRcA3wZ5m5ZY7rXgP8GXAQfTVqUZI0jAxsJA2Bf8jM7e2sMCL2pd+CnIj4TYoFfRYx2QV1FPAG4LyIeF5m/mDaNScAHwR+vublB9vdNkmS2sHgRhogppCeTdLZOTkdrb/di4E+lSJYWUjR6E3AfRQLfD4BWAl8HDil5poLgT+n6Laa+IN+hKInSJKknmBgI2nIvKDcj3ag7tGa+jui3dkM3kDRg7Mb+M3MPDIzfx54MvCHFBHbyRFxGkBE/DVwKZMBzveBF2bmBZn5QJvbpi5xPo6kfmeAIw2wjGq3PpGZN5bb+PT3ImJVRHwsIh6MiEci4oaIeM60Mr8UEWdExF7xRhZuzMwbO9X+dg9X+3mKQOYvMvPKiRcz83HgzyPieOA3gZdExC9RTGQCeBx4N/COzNzV5jZJktQUgxtJmioingh8jaITY2IA3guB50bEL2fml8rXzqXoAPmPiDgnM++usp3tDnKOLPcfn+X9fwBeCfwKcFj52reBV2Tmf7S5LZIkNcXgRhoeAURFc2X6px9nTv+TIrFYAt8C7gROo0gc9sGIeGpmJvCksszTgS9ExNPKjo9KtHu42gHl/p5Z3r+z3K8CFgMfBZ5tgDO4HKomqd8Y4EjSnH6FIl77eGY+IzNfBpwEPAIcy2Qisf8CvAJ4FHgKcEGVjWx3kDPRMzRbLu2Hao6vy8z/kpntzrstSVLD1o1fZYAjSfUdUe7fPfFCZm4Eri5Pn1O+Np6ZHwPeStGjc3aVjax6MdDaiUt/VPG9JUnai4GNNORMId2oiT/FvdNev4Wit2b1tNevL/cnd7JR07W7J6cR3+rivVUBh6pJ6nUGOJLUsJ+U+ydOe/3b5f6Yaa9vKffLO9aiGXQtyKly4lGnRcSJEXFlRGyKiF0RcX9EXBsRv9yGus+IiE+Wde+MiIcj4hsR8faIOGSO6y6NiJzHdmGrbZSkfmSAIwkwhXTjvlHuXzzt9YkOjOOnvX5oud8rFXUnVT1cbeBExNnAJynWB5pwKHAWcFZE/GVm/n4T9S4ELqeYsFVrMcXkrpOAV0fE2sz81xmqeFaj95SkQWdgI0kt+7/AS4A3RcTHMvNegMzcGhE/AI6JiGWZua0sf1q537J3VZ3TqZ6cwRhxWEdEnAR8jCLAuQV4HrACOAW4piz2+oh4XRPVv4vJAOczwC+WdZ8IvBnYTtFN+LmIOHxau0aAZ5Snr6XIejfb9ndNtE2S+o4BjiS1LjM/B1wLPAH4WkS8IiKeFBELgBsoMq+tiYgDy86At5Wv3VxlOzvVk3N9RIzN8PqCiYOI+Oc6dWRm/uf2Nqvt3g4sBe4CXpCZj5avb42IcynWCzoPuCQirsjMR+ZTaUQcBkz0/nw0M8+veXsr8K3y+f0rxQfsLUDtsLPjgP3L45tq2lUZ5+NI6iUGOJJmZeKBhkTEWykWAgU4HLhyhmLXzPDa33eqTTPpVJDzS3O8N/HX+9w5ygQ9/jGIiOOBM8vTd04PJDIzI+Ii4FcpJlqdC3x4ntWvZfLv5q0zFcjMWyPiaoog6kymBjkT2Su2A9+Z5z0laSAZ4EhSW/0pk9/V5/N9fRx4e2au62irpml3kPNDejw4aaMzyn1SdNntJTPvjYjbKebHrGX+Qc5hwCjwcJl3fDZ31ZSvNRHkfCMzZ+pRk6ShYIAjqS57cho1CtwEfJ9iAdBd7J1UIIHdwAPAujrfZzuirUFOZh7Vzvp63DPL/cbMnGsi1USQM+9EAJn5NuBtEXFgnaJPKfcPTnt94l63R8TvAOeX7V0M3EMxx+c9mbl1vm2SpH5jgCNJHXFkZv60242ox+xqzTuq3N9dp9xE5LoyIhZm5u753iAzH57tvXLezkTqvptqXg+KzGsAr6EIbGodX26/HRFnZ+bX59seSeoXBjiS5s2enIb0Q4ADbc6uFhF/XG5tD54iYlFZ9x+1u+4mrSj303tRpnuo3AewrB03LgOZDwJLypcuq3n7KcBED9Aiiuxpz2YyM9u7KLoPDwGui4ij29GmWiYdkNRNBjiSpHYHIxdTxKjvpfgi3U6La+p/e5vrbsZEgDFap1zt+0tmLdWY9zOZ9OAfMvNLNe8dDmyimKfzW5l5Rc17W4G3RMQtwKeAg4H3AC9tU7skqWsMbiSp8yJiruRhc8rMr7SzLXNxuFrzKp/QX/bgvA94Q/nSHcDv1pbJzC8DR0TE4szcNVM9mfnpiPgcxYKl50TEwZlZr0dqio0bN7JlSzEVacOGDeyzzz6NXC5JbfXZ7VcwOlrvd06Db8eOHTMeqzWbNm3ac7xz5869fv5t3ry5W01TO2QUW1X36n//TDFCqRmdWqNzL50Kcv42Itrdk9NrAdn2cl+vd2ZpzXHTP4EjYjHwfyiSCAB8Fzh9tjVwZgtwanyGIsgZoRjO1lBav9NOO23W914YdgxJqs6FV5/PDTfc0O1m9Jwbb7yx200YGGvXru12E6Re0hczizoVOLyiQ/X2km3l/qA65ZaV+zHqz9+ZUUQ8AbgaWFO+dBtwRmY+0Ex9pR/WHB/SQj2S1DUXXn1+/UKSNIfIYqvqXgPgBXXeX0Lx3fIk4BzgaOBvmVzovhKuk9O89cDzgFV1yh1Z7u/LzOk5xOuKiGOB64Cnli9dD5w3Ww9OzXWRmXP9XdRmXds+a6lZrFu3jo0bi8Rxp5566pThaq897n82Wp0kNeyz26+oX2jI7NixY08Pzpo1a1iypF1TQYfb+vXr9xzv3LmTm2++GZj8+bd582bWrFkz2+XSQMnM+XYTfzQi3gT8A0XG321AZV8SXSeneXeU+2Mi4sA50j1PLMx5e6M3iIinAV9isqflQ8Br50pDHREfBV4EPAwcM0f1J9Qcr5+11CxWrVrF9u1FbHTssceydGkxKs/MapKqYJKB+pYsWbLn/2a1ZvXq1XuOR0dH2bBhAzD588/n3OdMId0xmTkeEW8FzgN+mwqDnMom/wyg68r9AiYznU0REUcwuWjo9Y1UHhHHAF9kMsD5o8x89TzW2dkGLAeOjogTZipQJjB4eXl6D3BnI22TpG4ywJGkvjIxT7zeIvdtZZDTpMz8AZOLcF4SEVPm5tRkQhsBtgBXzrfuiFgEfBw4tHzpjZn5jnle/tGa40vLdkz3ZiaDr/fWGdYmSZIkNeuMcv/DOUu1mUFOa94IjAOrga9GxOkRsSIiTqZYh2Zi7NbFmTll3ktEXBgRd5bbc6bV+7sUGc8APgH8fUTsP9c2cWFmfg34x/L0hcA/RcRzI+KQiHhGRHwQ+LPy/S8Df9OWJyFJFbAXR5L6S2Z+EPgFivUuK9NraZn7SmbeGhGvopgrcyLwhRmKvT8zL5vh9RXAceXxvtPee0PN8a+VWz21PTavAvYHXgw8v9ym+yJwbjPJECRJkjScIqJe0q2ZbAY2z3RtZm5svVV7M8hpUWZeHhG3AX9AEUw8CXgUuBW4LDM/00h9EbECOLbFNo1GxEuAcykmeZ1Ckcr6p8A3gQ8DH3OYmqR+Yi+OpE4IKkwhXc1tOu3uNtfXkZFlBjltkJl3ABc0eM3FzNBtl5lbaMO/gTKA+VS5SVJfM8CRpJ4xzuR31WDunHHzeb8jDHIkST3NAEdSR2UUW1X36n/PoVgQ9J0Ui91/BLiBImPvKLAfxZSMXwXOoghk/hb4epWNNMiRNJxiWu+409N6kgGOJPWcXcCfUiwm/8LMvG2GMjcDV0TEmcBVwCuAP8/Me6pqpNnVJAlYsP/+UzZ1nwGOJPWki4ElwJtmCXD2yMz/ryy/P3BJx1tWwyBHkmaw4AkHT9lULQMcSZXJirf+99xy/7l5lp9Y2uT0DrRlVgY5apvTRs6rX0jqUwuPOYqFxxzV7WZIktRtE0ufLJhn+V3lfln7mzI75+RIGngLn3LMlPPdd/2g+brKQGf3D+5poUWSpJ5RZQ/LYPTk3EWxPuSvA++dR/mzyv0PO9aiGRjkSBo6u858zpTzxdfd2nAdC49cOeV89w83tdQmTXKomiT1tI8DPwtcEhF3ZOYXZisYEc8C3k2RYe2zFbUPaHOQExENrRVTT2Ze0c76JGkmj7z81Cnnyz57R8N1xMJFU85z9+MttWlYGeBIqlpkhYuBDkZPzl8AvwmsBq6LiIl1Ge8EHqFIIb0a+BXgvwCLgIeA91TZyHb35FxO+zriEjDIkdSS6UPV5mPrr5445Xz5tXe2qzmagwGOJPW+zByNiBcB11MEMy8ttxmLA9uAszPzJ9W0sNDuxAN/xWSQE23Y1CdMOqBuWPC0p07Z5uOx41Y0fJ+fnnk8W3/xyQ1fJ0nSICrXuzmZYr2czcycR24b8NfAz2TmTVW3sa09OZn5+xHxzxRj9RYBtwEvA1xlT1LHjZ4zddjZ0qtvrnvNzoPmmxyGPYHO8n+5v7GGSZJ6l4kHmpKZj1GsfXNJRDwFeApFBrVRYCPw75nZtT9x2xMPZOZnIuI84GrgWcArMvMd7b6PJNWz/aU/N+X8oG/W7ykfW1S3CFt/aWqvzvIv39tQu7Q3h6pJUv/KzLsosq71jI5kV8vMayPifwF/BLwtIj6Rmes7cS9Jmq9dhx3EwkcmEwLsPqB+RBPz6Id+8BdXApPZ1g68as4FoDWNAY6krrInZyB1MoX0xcA5wNOAdwC/1sF7SVLD9r3zgT0rmgE8eOqhbak3n/O0qS987ZttqXcQGeBIkjqhY0FOZmZE/AHweeDciHhK2ZWlAXP2fm3NHC7tJX/pmXu9Fjd9s+33OfhLd08533L60XsXaiIlysKVh085373pvsYrkSSpB0TEn5SHWzLzsq42Zg4dXQy0XByo3RncJIlHf33afJs7ftr2e6y4YWrQs/WFewc9I4879kCS+pnr5DTsjyl+5fc9YDiDHEmqSi5ZzH4/3L7nPNZvnPL+wy962vRLGrb8X3885XzrLzxprzIHbNzR8n2GhUPVJKkv9UWoZpAjaSjs98mvTzkfX3NSy3Uu+972KecPH7PvXmUW/vCBlu8jSeqgjGKr6l797wXl/rGutqIOgxxJfWf7yiUt1zFy4+3srjlfeOwM828atHA0GX3iPnvOl/5kZ8t1Dip7cSSpP2Xmjd1uw3wY5EjqKQue9tQp52Pfrp99/sDvP9ryfXdvmDr/ZuGTW8+0tv2wJXDYEVNeO+jrrqkjST2nLwZgqREGOZJ62q4zTplyvqhmnZtO2n3/5inn7Qh6AMYOewJx2BP2nOe/3dGWeiVJqlpEHAQcA+wHLKhXPjO/0vFGlQxyJPWVhQ8+xkEPTg4DHvv2eqav1znyrJ9t+333Cnqeckxb6o2FUxckzd3VBHHd9NntV3S7CZKkFkTECcD/ppif00gm5cqyLhvkSBo447d9a8r5ggMOaPs9dt/1A6hZ+StOfXrda/b/4fa6ZSRJ1TKFdGMi4knAV4DlFAP95vunqjTrgkGOpIE39sgjHb/Hgrvu44CaoGfn04+a8v6O5VN7bCRJ6lN/CDyBIrj5LPAJ4AFgVzcbNZ1BjiRVIeDRVftNeWn/jcPXs3Ph1ed3uwmSNFUjfRHtuFf/O5OiV+avM/PCbjdmNgY5askHzvlIt5ugPjay79R1ZXY/5/gp82sWPdB61rSed/Lxk8ffuLN77ZAkaX5WlvtLu9qKOgxyJPWssQOXsnjbZO/3rmWLu9iazhv0pAP24kjqSRXOyRmQnpyHgSXAQ91uyFwMciT1jcWfv4WxbjdiFru3bt1zvHD58i62RJKkjvoX4BzgVODaLrdlVj0X5ETE5cCRFLHuo8D3gQ9npotJSOoLuXMni2/53pTXdpzR/rTWkiR1wfuAlwB/GhHrMnNHtxs0k8pyVTfgVOC5wPMoJjW9FLglIs7tZqMkqRX7b9w+ZRs2ro0jqWdlxVufy8yvAW8Cng78a0ScFxGHR8SSLjdtip7ryaEIbALIzDw7IoIiYnwV8OmutkyS2mTk8eSxwyYTLxzwHz+GY47ac777B/dU3yhJkuqIiHXl4TbgGcDHa96b89rMHN7FQDPz+GnnGRF/AHstai6pjy1cdcSU8/EHts5SUpKkDjKFdKNeQNkhQWN/IhcDnS4ze3WusaQ22flLJ0w5X/Kv39urjP8R9Kd141cxOjra7WZIktrjkm43YD76IsiRpH4y9ujU9X0W7L9/l1oiSaonKkwhXVmq6g7KzD/tdhvmo7IgJyJGgGUUebUBRjPzwaruL0ndkmNjxB137Tl//OdOYPFDu/ec7zrI3zdJktROHfvJGhH7AecCa4FnUayOGtPKjAH3AbcD1wNXZqZjGiQNlX1+uotdKw/ec7540+D8/mfd+FXdboIkaQh1JMNBRPwecDdwOUWQc2R5r5i2LQRWUeTa/hvgnoh4TSfaJEn9In+yhQX7779nkyRJjWl7T05E/AXweoogZpyil+Z2YCPwEDDRU7OUYvjakcDJwDOBQ4DLIuKYzHxTu9smqUti2u9T0mSJkiT1o4j4k/JwS2Ze1tXGzKGtQU5EvAj4/fL0KuCizNw0z2tXAu+nWPzzooi4MTM/1872SeoNIyedsFdO+H0eeKwrbanCeE1msZGlS7vYEknSXkwh3ag/pujM+B4wHEEO8Lpyf3VmvqyRC8tg6Nci4tMUQ9xeBxjkSENq7JFHut2Ejhh58pPYZ+PkmkCPnvikvcosqrJBkiQ1pi9CtXYHOc+m+IP/rxbqeDtFkHNKOxokSf0mnnTI1BempaTuFyYdkNQPTCHdsBeU+54egtHuIGd5ub+7hTp+WO6dbStJkiT1kMy8sdttmI92Z1f7Sbl/Wgt1nFzuf9xiWyRJkiQ1ISJ+v9w6kahswUT97a57QruDnC9TTER6T0Ts2+jFEXEA8F6KIW9fam/TJKn78idbpmySpB6QFW395f3AXwD7dKDufWrq74h2BznvBh4HngPcHhEXRMQT6l0UEftHxMuAW4ATgd3Ae9rcNkldsmC/fads40sWTdmG2cLHxqZs+97zCOP7L92zSZKkxrW1+ykzvxUR5wH/CKwG/h+QEbGRYp7Og0yuk7MEOIhiMdBjgAVMrq3z6sz8djvb1kkRcSLwJuD5wBOBrcCtwGWZeX236u5ku6R2Gnl055Tz3d/f0KWW9J7dG1qZ4ihJqssU0vX8z4jY1eY6F7e5vr20fYxdZn42In4ReAfwKxSBy9HlNv2vNqad3wS8MTNva3e7OiUizgY+ydSsr4cCZwFnRcRfZmZT4w1bqbuT7ZKkesysJkkD4y3dbkAz2j1cDYDM/GZmngX8DPDfgSuAG4HvUvTo3AX8O8Ucng8C/w04NjPX9FmAcxLwMYpA4hbgecAKivTX15TFXh8Rr5vp+k7V3cl2SZIkaSj09Uyltvfk1MrM71Gshjqo3g4spQjaXpCZE4tZbI2Ic4GPA+cBl0TEFZnZyOqGrdTdyXZJalIsWMD46OiU1xZu392l1kiSwHVyZpOZHY0TOq0jPTnDICKOB84sT99ZE0gAkJkJXEQxx2g5cG4VdXeyXZI6b3zpoinbyOLFUzZJklSfQU7zzij3CVw7U4HMvBe4vTxdW1HdnWyXJEnSYKlqUFZ/ppHuWwY5zXtmud+YmXMtdjERTDyroro72S6pYQsOOAAipmy5YOrGzp1TN0mSpBb09Vi7Ljuq3NfL77qx3K+MiIWZOZ8B+K3U3cl2SZIkDRTn5Awmg5zmrSj3D9Yp91C5D2AZMJ8lzlupu5PtktSCHBubcj7yjBOI7VOXHhjfd9riqAsWdLpZkiQNHIerNW9JuR+ds9TU95fMWqp9dXeyXZIkSVLPsyeneWP1i3Sl7k62a4+NGzeyZYudP5JmNjotVfaOHTtmPFZ7+Zw7Y9OmTXuOd+7cuefn34YNG9hnn33YvHlzt5qmdqgyIYDD1SpjkNO87eW+Xi/I0prjer0r7ai7k+3a47TTTgPghfHSRi+VNARuuOGGWd+78cYbK2zJ8PI5t8/atWu73QRJDTLIad62cn9QnXLLyv0Y9efJtKPuTrZLaosYm/arrIjuNKQH5cKpo4jDOTmS1Fn25Awkg5zmrQeeB6yqU+7Icn9fZo5XUHcn27XHunXr2LhxIx/7nesbvVTSEDj99NOnnO/YsWNPz8KaNWtYssSpgJ3gc+6M9evX7zneuXMnN998MwCnnnrqnuFqa9as6VbzJM2g54KciLic4gt4Ao8C3wc+nJl3dLNdM5hozzERcWBmPjxLuZPL/e2zvN/uujvZrj1WrVrF9u3b6xeUNJSWLl0663tLliyZ8321h8+5fVavXr3neHR0lA0bNgBw7LHHsnTpUp9znxvEFNIRcSLwJuD5wBOBrcCtwGWZ2bbfUEfECPBl4D9RfF9/ZbvqblUvZlc7FXguRW9EAC8FbomIc7vZqBlcV+4XAGfOVCAijmBycc5GPlCt1N3JdkmSJKmHRcTZwG3A+cDhwCLgUOAs4PMRcWkbb/cmigCn5/RikBPlRmaeDRwN/DXwqm42arrM/AFwU3l6SURMmQMTEQG8j+IZbwGurKLuTrZLUvXy8d1TNkmSZhMRJwEfowhsbqHoNFgBnAJcUxZ7fUS8rk33+tNW6+mUngtyMvP4zBzJzAXleQJ/QBF99po3AuPAauCrEXF6RKyIiJOBTwHnleUuzswpY7si4sKIuLPcntPOulu8VlKHxMJFU7b89vfJRQumbCM7d0/ZJEkdlhVvnfV2igy6dwEvyMyvZObWzLwVOBe4qix3SUQc0OxNImIJ8BGKYKon9VyQM5PMHCuDnZ5SfmBeBewGTgS+ADxA0UV4Tlns/Zl52QyXrwCOK7d921l3i+2SJElSn4mI45mcqvDOzHy09v3yu/RFFL8IX04R9DTr3cAJwD8DP2yhno7piyCnl2Xm5RST+K8ENgGPU6RkXgeszcyLulF3J9slNWLskUcgc8oWY+NTNkmSumowenHOqPnTXDtTgcy8l8mkU2ubuUlEvBD4b8BDwG/Ro4mxK8uuVmZfWMbkIpWjmTkQ67OUmd8uaPCai4GLO1F3O66VJElSX3lmud+YmVvmKHc78Kxya0hEHAxcTjF//vcz84fRo2vddSzIiYj9KLrB1lI8xJWUCQVqyowB91E87OuBKzNztFNtkqRuisUzDF2eNhI3Hnt82tv2dElSJ3UxhfSh9QKEzNzUQPVHlfu765TbWO5XRsTCzGxkAujfUmRsuyYzP9zAdZXrSJATEb8HXEIx3g+mBTfT7r+KYl2clwBvj4g/ycy/7US7JKmbxh97jJF995qCJ0kaTrfMo0wj3SQryn29kVIP1dS9jCLbbv2GRJwP/BrwE+DVDbSrK9oe5ETEXwCvp3hw4xS9NLdTRI0PARM9NUspHuyRFHNHngkcAlwWEcdk5pva3TZJkiRpQO2ZElKnXO37S2YtVSMijgQ+UJ6+OjMfaLBtlWtrkBMRLwJ+vzy9Crhovt1sEbESeD/F4p8XRcSNmfm5drZPklSN00bOY934VfULSlK3VZMUYPJek04BNrex9rE21rVHOa/+w8BBwOWZ+ZlO3Kfd2t2TM7Gw0NWZ+bJGLiyDoV+LiE9TzON5HWCQIw2A6YtYxu6p80zGlx9IPD75f/OCE49n7I47K2lbt40vXjD1hcULWPiTh/ecxhGHs/sHGyffjxFwno4kDYLNDc65qWdi7cN6vTNLa47nMxf+v1MsKrqRyc6MntfuIOfZFDHq/2qhjrdTBDmntKNBktRLRg7Yf8q54YokdVcXEw+027Zyf1CdcsvK/Rh15u9ExNOBd1B8v/+tzHx4rvK9pN3r5EwkGqiX1WEuEwsK7T9nKUmSJEkT1pf7VXXKHVnu78v6KTzPBfahmGv/zxGR07ea+/1mzevPa6L9bdXuIOcn5f5pLdRxcrn/cYttkSRJkobFHeX+mIg4cI5yE9+1b5+jTN9rd5DzZYpI7z0R0XCe1Ig4AHgvRZfYl9rbNEnqE488OnXL8ambJKl9suKtc64r9wuAM2cqEBFHMLlo6PXzqPOdwAF1tolRWB+tee2rDbe+zdod5LwbeBx4DnB7RFwQEU+od1FE7B8RL6PIF34isBt4T5vbJkldl09YNmVbsG2UkR2PT9kGxWkj53W7CZI0NDLzB8BN5eklETFlbk4UK4++j+L7/xbgynnUuSszH51rYzJ0213zekcyvTWirYkHMvNbEXEe8I/AauD/ARkRGynm6TzIZBaHJRQTo1YBx1BEnRNr67w6M7/dzrZJ6h0jP310r9d2H7psyvmCg6bOmxx76CH61cjSyUQ2ec+9xFFHdLE1kqQpupdCuhPeCNxM8T38qxHxP4BvUMzDeRtwTlnu4szcXnthREykNf23zLyg4y3tsLYvBpqZn42IX6TIxPArFIHL0eU2/a92+iquNwFvzMzb2t0uSd0zvnPH1PN7NrLwqHrzIiVJUiMy89aIeBXwIYrRUV+Yodj7M/OyGV4/rty3c+2erml7kAOQmd8EzoqI44AzKMb+HQWsoOjBGaPI5b2NIhPEHcB1mdlKVjZJkiSpIcHev3Xv5L06LTMvj4jbgD8Ang88CXgUuBW4rF8W82xVR4KcCZn5PeB7nbyHJPW7kYenrcV2wP6Mb7p/8v19luzVGyZJ0mwy8w6goSFnmdlUDJaZRzVzXad1NMiRJMHIYYdOfWHX44wv22/Pae67mJFt2xlEp42cx7rxq7rdDEnSkDHIkaQ2G9l3agb98ft/zMiTn9Sl1kiS5jRYiQdUMsiR1BNy4dRe8t0nHs2iLZO9Gwuf/ER23/n9qpslSZL6ULvXyZGkedl9z0Zy20N7toXfuqfbTeop4zt3TNn6mevlSOppCVHRZk9OdezJkaQuiB27ppznkkVw30/2nC9YtoyxbdsqbpUkSYPBIEeSKjB+0L57vRY7H+9CSyRJUzgnZyA5XE2SWrTggAOmbLFgASOHP3nKNuzO3q/vF8+WJPURe3Ik9Y2Fh+0dLOz+0f0zlKzW2COPsOCAA7rdDEmSVDLIkdQzFj742JTzXBCMHbh08oWD92Xhxp8wqMYfeWTKeSxYQI6Ndak1kjREHEY2cByuppZcePX53W6C+tjYQw9P3b5zV7ebVKn46cNTtgVPPKTbTeqoD5zzkW43QZI0JOzJkdQ9OQ4xmL9rGa/tgSpNTzSQyw8itj5UVZMkSTPYk965onupGgY5kgbfTIFUjrf3HqsOm3rLnY+T+yxq7z0GwAfO+Qinbz+9282QJA04gxxJfW3hysNnfH38Jw9MPX98d3vve9SqqS88uoPcf0nL9ToHR5IqZgrpgWSQI6mv7D7yiXu9tnDTlo7fd+GTpt13dBSW7j0krVFj04Ixkw1IktQ6gxxJPW3B9l17vTa27+LO3/egg6ac546dxJJ9Wqozfrx17/s84WDGfvpgS/X2m7P3u4B141d1uxmSpAFmkCOpu6bNjRn79vq9Aozp8106Ya97tsHIQ1NTYnPQgfDQw22/jySpeSYeGEwGOZL63u6VK+oOWVt49JF7v/jo9imnuXPvXqOGjExNcJD77kM8trO1OiVJUsMMciQNpHjq0VPOE9oecIwftN/e9806v6abozdnmObinDZynkPWJPUGEw8MJIMcSQNh7PDle702sr3NQc3hMyzWOTb3T6z59OYMU3AjSVIVDHIk9Z2R0cdnfD2XtPe/tDx2ZePXRNTtzdn9QOezwfUDe3Mk9QLn5Awmgxy17LPbr+Ds/S7odjM0yDZtnnIaQB7x5LbfJo+ZtuZOJkTMfdGCqNubM/6jqe0f2Xdfxh97bJbSkiSpVQY5knrO2EMP7fXagicc3Pb7jB/xpBleHN/7tQbF5qk9NbH/foxPS3IgSZI6xyBH0tAYP3j/xi+aR2/OyEPTAph99wV7aubFIWuSus7EAwNppH4RSeo9ce/99QtlTtlixzxSRI/U/29x5OHRKRsLF8yjxZrNaSPndbsJkqQBY0+OpL4w9tMH6w5ZWzDDWjm5rInem2li1+6pdS5ZROyYOfnBbJyDMzd7dCR1jT05A8kgR1L/Wn/3lNNxYKQNc3dGHtu7xycXNddbs/snD7TaHEmS1CCDHLXFuvGrHHKijhv76YN7vTaydGnL9Y48+OjeLy5q7b9HgxtJkrrHIEfSUBr50bShbUuXtFTf2L2bppzHggUu8tkgh6xJ6gbXyRlMBjmShspewU2Txu/90ZTzWLiI3N3YPB3tzUBHktQOBjmSBlre9cOp58DIE5Y1Xs+GqfUwEjA+96/k7M1pjoGOpMrZwzJwDHIkDZTd9/1or9dG9ml+KNr43TXBzYK5kw/YmyNJUm9wnZw2iIgTI+LKiNgUEbsi4v6IuDYifrkNdZ8REZ8s694ZEQ9HxDci4u0Rccgc110aETmP7cJW2zjB37yqG8ZHR6ds87rmp9vql7n7h1MDnJmMzL5IaI6N2YsjSX0gMivdVA17cloUEWcDnwQW1bx8KHAWcFZE/GVm/n4T9S4ELgdeMe2txcBJ5fbqiFibmf86QxXPavSe0qAa37mjbm/O7hkCmpEmMqwZ2LSHQ9YkSa2wJ6cFEXES8DGKAOcW4HnACuAU4Jqy2Osj4nVNVP8uJgOczwC/WNZ9IvBmYDvwROBzEXH4tHaNAM8oT18LHDDH9ndNtE3qe7vv3zxlI8frXzRDADO+c8eUTe1jWnpJUrMMclrzdmApcBfwgsz8SmZuzcxbgXOBiV9DXhIRB8y30og4DJjo/floZq7NzK+VdX8rM/+cIqDaDTwBeMu0Ko4DJpZ5vykzH51jcwKBhkIzwcj447tnf6+B4XFqnoGOpI7LijdVwiCnSRFxPHBmefrOzJyymmBmJnARxSLsyymCnvlay+RQwrfOVKAMpK4uT8+c9vbJ5X478J0G7isNt3n05hjcVM9AR5LUKIOc5p1R7hO4dqYCmXkvcHt5uraBug8DRoEfZ+bGOcrdVVO+1kSQ843MdIKA1ILxXbumbOoOAx1JnTKxGGhVm6phkNO8Z5b7jZk51+qCE0HOvBMBZObbMnNf4Kl1ij6l3D847fWJe90eEb8TEV+JiIciYjQivhsR74qI5fNtjzRUcnzqpp5hoCNJmi+zqzXvqHJ/d51yEz0xKyNiYWbOPsh/msx8eLb3ynk7Ly5Pb6p5PSgyrwG8hiIbW63jy+23I+LszPz6fNsjSZI0cKqcK2NPTmXsyWneinI/vRdluofKfQDL2nHjMpD5IDCRE/eymrefAhxYHi+iyJ72bCYzs72LImHBIcB1EXF0O9okSVWwN0eSNB9DG+RExNvmuVhm7XZ5TRUTAUa9Gci17ze/7PpU72cy2cA/ZOaXat47HNhEkfDglZn5msy8rSYz21uAl5VlDwbe06Y2SZIkST3B4WrNq3xCf9mD8z7gDeVLdwC/W1smM78MHBERizNzxlnSmfnpiPgcxYKl50TEwZlZr0dqio0bN7JlSzEVacOGDeyzzz4A/PX33slrj/ufjVQlSQ0ZNbvdrHbs2DHjsVqzadOmPcc7d+7c6+ff5s2bu9U0tUGVCQFMPFCdYQ5y/gb4ZIPXPFRzvL3c1+udWVpz3PRP5ohYDPwf4Pzype8Cp09PXT1htgCnxmcogpwRiuFs6xppz2mnnTbrey+MlzZSlSTN24VXn88NN9zQ7Wb0hRtvvLHbTRgYa9eu7XYTJDVoaIOczNwKbG2him3l/qA65ZaV+zHqz9+ZUUQ8gWJNnDXlS7cBZ2TmA83UV/phzfEhLdQjSR134dXn1y8kSc0w8cBAGtogpw3WA88DVtUpd2S5vy+z8Xy0EXEscB2T6aSvB86brQen5rooFySdTW3Wte2zlprFunXr2LixSBx36qmn7hmuBjhcTVJbfXb7Fd1uQt/YsWPHnh6cNWvWsGRJu6aCDrf169fvOd65cyc333wzMPnzb/PmzaxZs2a2yyV1gUFO8+4o98dExIFzpHueWJjz9lnen1VEPA34EpM9LR8CXjtXGuqI+CjwIuBh4Jg5qj+h5nj9rKVmsWrVKrZvL2KjY489lqVLl9a5QpIat278qm43oW8tWbLE/5vbZPXq1XuOR0dH2bBhAzD588/n3N+ckzOYhja7WhtcV+4XMJnpbIqIOILJRUOvb6TyiDgG+CKTAc4fZear57HOzjZgOXB0RJwwU4EygcHLy9N7gDsbaZskSZLUywxympSZP2ByEc5LImLK3JyaTGgjwBbgyvnWHRGLgI8Dh5YvvTEz3zHPyz9ac3xp2Y7p3sxk8PXeOsPaGuZvXiW1i+viSJKaYZDTmjdSrEezGvhqRJweESsi4mTgU8DET+eLM3PKvJeIuDAi7iy350yr93cpMp4BfAL4+4jYf65t4sLM/Brwj+XpC4F/iojnRsQhEfGMiPgg8Gfl+1+myDInSZI0nLLiTZVwTk4LMvPWiHgVxVyZE4EvzFDs/Zl52QyvrwCOK4/3nfbeG2qOf63c6qntsXkVsD/wYuD55TbdF4Fzm0mGIEmSJPUye3JalJmXUyQXuBLYBDxOkSp6HbA2My9qpL6IWAEc22KbRoGXAC+lmDv0QNmuH1MEYr9BscbOI63cR5I6zeGvkqowkXyg05uqY09OG2TmHcAFDV5zMXDxDK9vYWqvTLNtSoohc59qtS5J6gYDHElSs+zJUUf45URSq0w6IElqlj05kiRJGl6ZxVbVvVQJe3IkSZIkDRR7ciRJPclhr5KqUGVSAJMPVMeeHHWMX1AkNcv/PyRJrbAnR5LUUwxwJFWqykU67cmpjD05kqSeYYAjSWoHgxxJUk8wwJEktYtBjjrKLy2S5st1cSR1Q4xXu6kaBjmSpJ5hoCNJagcTD0iSJGl4mXhgINmTo45zyJqk+fL/C0lSO9iTI0nqCQY4krrBxUAHkz05kqSuM8CRJLWTQY4kqasMcCRJ7eZwNUlS1xjgSOq6zGKr6l6qhD05qoRfZCRN5/8LkqROsSdHklQ5AxxJvcLEA4PJnhxJUqU+u/2KbjdBkjTg7MmRJEnScLOHZeDYkyNJqtTZ+13Q7SZIkgacQY4q4xh8SRNOGzmv202QJA0wh6tJkiRpaJl4YDDZkyNJqpw9u5KkTjLIUaX8YiPJ7GqSesrEYqBVbaqEQY4kqTIXXn1+t5sgSRoCBjmqnL05kiSpV0zMyalqUzUMciRJlbAXR5JUFYMcSVLHOQ9HklQlgxx1hUPWpOHhv3dJPS0r3lQJgxxJUscY4EiSusEgR13jlx9psPlvXFI/MPHAYDLIkSS1nQGOJKmbDHIkSW1lgCNJ6raF3W6AJEmS1DXjWWxV3UuVsCdHXeVvfKXBc9rIed1ugiRpyNmTo4FSGzT5RUvqntNGzvOXGJL6Q5Wpne3IqYw9OZIkSZIGikGOBpa/RZYkSfUEFaaQ7vYfdogY5Kjr2hmMOERN6g3+kkGS1E0GOZKktjLAkSR1m0GOes668ava9iXJL1tStfw3J6nvJJBZ0dbtP+zwMLuaekK7h6z5RUuqnv/uJEm9wiBHktQyAxxJfatMClDVvVQNh6upZzlkTZIkSc0wyGmDiDgxIq6MiE0RsSsi7o+IayPil1us99KIyHlsF1bZLkmq5S8SJPW1rHhTJQxyWhQRZwO3AecDhwOLgEOBs4DPR8SlLVT/rB5tlyQBBjiSpN5kkNOCiDgJ+BhFAHEL8DxgBXAKcE1Z7PUR8bom6h4BnlGevhY4YI7t76pqV9Xm+wVqIiPbbJnZ/CImtZ//riRJvcrEA615O7AUuAt4QWY+Wr6+NSLOBT4OnAdcEhFXZOYjDdR9HLB/eXxTTd3dbldP8UuWJElqRWQSWc04sqruI3tymhYRxwNnlqfvnB6EZGYCFwHjwHLg3AZvcXK53w58p4fa1ROaWUvHgEhqH/89SZJ6mT05zTuj3Cdw7UwFMvPeiLidYm7NWuDDDdQ/EeR8IzPHeqhdlfPLlNRb/DcpaaCMl1tV96pARJwIvAl4PvBEYCtwK3BZZl7fQr0/TzGN4peAJwO7gY3ADcD/zsyNLTa9bezJad4zy/3GzNwyR7nby32jSQQmyt8eEb8TEV+JiIciYjQivhsR74qI5V1ol6QhZoAjSb2tU8mnIuLdwNfKeo8C9gH2A04A3gB8KyJe0mLz28Ygp3lHlfu765SbiGhXRsS8es4iIoCTytPXAB8E1gAHAkuA44E3A9+NiJ+rql2DwC9oUvP89yNpEE3Myalq6+ifpUPJp8rlSt5Unn4VOB04hOI76Wsoeor2Bz4eEc9s5c/QLgY5zVtR7h+sU+6hch/AsnnW/RSKgAaKD+nfAc8u73ki8C6K7sFDgOsi4uiK2jVwmpnbIw0j/51IUl+YnnzqK5m5NTNvpZiHPfGf+SURccB8KoyIfYA/LU+/Uta7LjO3ZOb3MnPie+o2it6dd7Tvj9O8oQ1yIuJt81xos3a7vKaKJeV+tM6tat9fMmupqQ4HNlGM3HxlZr4mM28rP6Tfysy3AC8ryx4MvKeidg2EuVJNS9qb/1Ykqfd1MPnUf6b4vgnwJ5m5e3qBzLwH+FB5elpELGqs9e03tEFOGzSSDKAhmfnlzDwCWJqZV8xS5tPA58rTcyJi4sPXsXYNMr/ESTPz34akgZcVb50zr+RTTM7LXjvPeo+gyPYLcPMc5e4q94uZHFnUNUMzF2MGfwN8ssFrHqo5nvjLrtcLsrTmuF7vyhSZuatOkc9QTCIboegmXFdFuwA2btzIli1FXoMNGzawzz777FVm5cqVjVYrqYd8dvsVjI42/N/DjHbs2DHjsdrL59wZmzZt2nO8c+fOvX7+bd68uVtNk2o9s9zPJ/nUs5hn8qlyONrfRcSBmTnXfyxPqTneNp+6O2log5zM3EoxSapZ28r9QXXKLSv3Y9SfJ9OoH9YcH1Lut5X7jrbrtNNOq1vmmmuuabTarrrw6vP5wDkf6XYzpJ5w4dXnc8MNN3Sk7htvvLEj9Woqn3P7rF27tttNUEclVLZI55T7HFrkmpqjdOamOQtMdVS5byj51EzDz2Zpy8OzvRcR+wL/pTy9LTPb8xuyFgxtkNMG6ykyVqyqU+7Icn9fZjaUHT0iohw/OZvFNccTPTgdb5ekwXbh1ed3uwmSNAxumUeZuaOgqZpNPjVXr898vZciTTXAZW2or2UGOc27o9wfU3bfzRbdTizqefss7+8lIj4KvAh4GDhmjqIn1Byv73S7aq1bt46NG4tfBJx66qkDM1zt9O2nc/Z+F3S7GVLXfHb7jNMAW7Zjx449PQtr1qxhyZKhyndSGZ9zZ6xfv37P8c6dO7n55mJawsTPv82bN7NmzZpuNU8tiiy2qu7VQV1JPhURbwB+rzz9Kj2yyLxBTvOuA/4KWECRyeIfpxeIiCOYHB/ZyOqy2yiyXiyPiBMy8zsz1B3Ay8vTe4A7K2jXHqtWrWL79qLz6Nhjj2Xp0qV1rpDUD6r4t7xkyRL/z6iAz7l9Vq9eved4dHSUDRs2AJM//3zOatIpQDsndFWefCoi3gi8vzy9D/j1XhkhZHa1JmXmD4CbytNLImLKHJgyCHkfxTPeAlzZQPUfrTm+NGYesPlmJgOV904Ma+twu4aC2aQ0rPzsS1KlNmfmprm2BuurJPkUFN8nI+JdTAY49wMvzMwfNVNfJxjktOaNFLnGVwNfjYjTI2JFRJwMfAo4ryx3cWZur70wIi6MiDvL7Tm172Xm15jsgXkh8E8R8dyIOCQinhERHwT+rHz/yxSZ4trSLkmSpKGSWe3WOdvKfUeTT0XEUuATFL9whyLRwZrMvHP2q6rncLUWZOatEfEqisWPTgS+MEOx92fmTBOwVgDHlcf7zvD+q4D9gRcDzy+36b4InDu9W7DFdkkaQvbiSFLfqyIp1iHAZ4GfK1+6DTgzM3/cSD1VsCenRZl5OcUk/iuBTcDjFFHxOmBtZl7UZL2jwEuAl1LMs3mgrPvHFEHLbwCnZ+YjVbZrWPiFT8PEz7ukYRbj1W4dNCX51Bzlmko+FRGHAV9jMsD5HPDcXgxwwJ6ctsjMO4CGUnJl5sXAxXXKJMXwsk9V1S5Jw8UAR5IGRseST0XEcuCfmFzw8++A12Vm5ckO5sueHGkWfvnToPMzLkmDo8PJp/4PcHx5fGlmvqaXAxwwyJGkoWSAI0mlwUk8AK0lxZpIiHXFtNfPophCAcVwtT+JiP3rbI0sYtoRDleTpCFjgCNJg6nF5FMTCbGmr93zhprjX2Ayi9tcjqZYx7Fr7MmR5uCXQQ0aP9OSNE1WvHX6j9P+5FM/V79I77EnR5IkSRogTSbFmnGIWWbu35ZGVcyeHKkOf/OtQeFnWZL2FpmVbqqGQY4kDQEDHEnSMDHIkebBL4jqZ35+JUnDxjk5kjTADHAkqY5qUjtP3kuVsCdHmie/LKrf+JmVJA0re3IkSZI0vJJi+cyq7qVK2JMjNcDfjKtf+FmVJA0ze3IkacAY4EjS/FWZ2tkU0tWxJ0dqkF8g1cv8fEqSZJAjSZIkacAY5EhN8Lfl6kV+LiWpCclkGumOb93+ww4PgxxJGgAGOJIkTTLIkZrkl0r1Cj+LktSCynpxKlx0VAY5ktTPDHAkSdqbQY7UAr9gqpv8/ElSG4xXvKkSBjmS1IcMcCRJmp1BjtQiv2yqan7mJEmam0GO1AZ+6VRV/KxJUntFZqWbqmGQI0l9wgBHkqT5MciR2sQvoOokP1+S1CGmkB5IBjmS1OMMcCRJaoxBjtRGfhmVJEnqvoXdboAkaXYGzpLUaVUOI3O4WlXsyZHazC+lmo9141fV/az4WZIkqTkGOZJUsdrgxUBGkrrMxAMDySBH6gC/uGo2M3025vuaJEmaH4McqUP8kqrp5vpM2LsjSV0yXvGmSph4QJIqMJ/AxeBGkqT2sCdH6iC/tAr8HEiSVDV7ciRJkjS0IpOoKCFAVfeRPTlSx/lb/OHm378kSdUzyJEq4BddSZJ6lCmkB5JBjiR1iMGtJEndYZAjVcQvvMPFv29J6hPjWe2mShjkSBXyi+9w8O9ZkqTuMsiRpDYywJEkqfsMcqSK+SV4cPl3K0l9KKkw8UC3/7DDwyBH6gK/DA8e/04lSeodLgYqSS0ywJGkflZlame7cqpiT47UJX4xHgz+PUqS1HsMctogIk6MiCsjYlNE7IqI+yPi2oj45SbruzwissHtedPquHSe113Yjmeg5vgFuTetG79qXn83/v1J0gBwMdCBZJDToog4G7gNOB84HFgEHAqcBXw+Ii6tqCmPTDt/VkX3lQZKbeAyVxBjgCNJUu8yyGlBRJwEfIwisLkFeB6wAjgFuKYs9vqIeF2DVf8ucECdbS2TAzvflZm31bRrBHhGefraOvX8XYNtU5v5Zbl3fHb7FXu9NtPfj39nkiT1NoOc1rwdWArcBbwgM7+SmVsz81bgXGDim9AlEXHAfCvNzJ2Z+ehsG0Vw8vdAAF8G3jqtiuOA/cvjm+aqKzMfb/pPr7bxS3P3XXj1+bO+N9/eHUlSHxrPajdVwiCnSRFxPHBmefrOMvjYIzMTuAgYB5ZTBD3t8vcUPUaPABdk5vi0908u99uB77TxvtJAmivAmTDfeTqSJKn7DHKad0a5T+DamQpk5r3A7eXp2nbcNCJ+DfiV8vQt5T2mmwhyvpGZY+24rzrPL9DdMdMQNUnSEMnxajdVwiCnec8s9xszc8sc5SaCnJYTAUTEEuA95ekdwN/OUnTiXrdHxO9ExFci4qGIGI2I70bEuyJieavtUfsZ6FTL5y1J0mByMdDmHVXu765TbmO5XxkRCzNzdwv3fC1wZHn8hzP10kREACeVp68BFk8rcny5/XZEnJ2ZX2+hPeqAdeNXcdrIed1uxsAzwJEkAdWmdjaFdGXsyWneinL/YJ1yD5X7AJY1e7OIWAi8sTy9PTOvm6XoU4ADy+NFFNnTnk3R3hOBdwG7gUOA6yLi6GbbJPUrAxxJkgbb0AY5EfG2JhbcvLymiiXlfrTOrWrfXzJrqfpeBqwsj/9sjnKHA5soEh68MjNfk5m3lVnfvpWZbynrAjiYyeFv6iF+Ce8cn60kSYNvaIOcNqh6Qv9EL873gU/NVigzv5yZRwBLM3PGGdWZ+Wngc+XpORFxcFtbqrZwQnz7GeBIkvZiCumBNMxzcv4G+GSD1zxUc7y93NfrnVlac1yv12dGEfFUJpMJfHiGlNF7ycxddYp8BjiLItB9NrCukTZt3LiRLVuKfAsbNmxgn3322avMypUr93pN87djxw4uvPp8PnDOR7rdlIHw2e1XMDq69z/BHTt2zHis9vI5V8Pn3BmbNm3ac7xz5869fv5t3ry5W02TNIuhDXIycyuwtYUqtpX7g+qUW1bux6g/f2c2v1pz/LEm65juhzXHhzR68WmnnVa3zDXXXNNotdK8TaxtM58g8MKrz+eGG26oW+7GG29suV2qz+dcDZ9z+6xdu7bbTVAnmXhgIDlcrXnry/2qOuUmsqHdN58emFlMLCR6S2ZumM8FZZa1udRmXds+ayl13XwWqhw2tc+k3vPx+UmSNHyGtienDe4o98dExIGZ+fAs5SYW5rx9lvfnFBErmByqdvU8yn8UeBHwMHDMHEVPqDleP2upWaxbt46NG4vs2KeeeqrD1Tpgx44de34T+4mtH+TXlr+6yy3qDTPNVTp9++mcvd8F8yo7Xe1zXrNmDUuWtJIfRLPxOVfD59wZ69dP/pjcuXMnN998MzD582/z5s2sWbOmW82TNAODnOZdB/wVsAA4E/jH6QUi4ggmFw29vsn7/CJF+mmAm+dRfhuwHFgeESdk5ndmaFcALy9P7wHubLRRq1atYvv2ogPo2GOPZenSpXWuUCuWLFni+jnMnThgpufT6OdyyZIlfpYr4HOuhs+5fVavXr3neHR0lA0bikEVEz//fM4DwGFkA8fhak3KzB8AN5Wnl0TElLk5ZSDxPopnvAW4sslbTfTiJHDrPMp/tOb40lmGrb2ZyeDrvZn+y1bvm09mtNoyZlKTJGl4GeS05o0U69GsBr4aEadHxIqIOJkizfPEr5Uvzswp814i4sKIuLPcnjPHPSaGlf1kjiFxe2Tm15jsVXoh8E8R8dyIOCQinhERH2RynZ0vU2SZU58Y1i/ujfy5141fNbTPSZLUhInEA1VtqoTD1VqQmbdGxKuADwEnAl+Yodj7M/OyGV5fARxXHu87x20mEhtsa6BprwL2B14MPL/cpvsicG4LyRDUJcM2bM2ARZIkNcqenBZl5uUUyQWuBDYBj1Okil4HrM3Mi1q8xbJyv62BNo0CLwFeSjF36IGyXT+mCMR+Azg9Mx9psW3qkmH54j8sf05JUheNj1e7qRL25LRBZt4B7J3aae5rLgYunke51fXKzHJdUgyZ+1Qz10vt1EzvkwGOJElqlj05Up/qlyBgop2NzquRJElqlkGO1Md6ORiYKQFAoxnSJEnqOBMPDCSDHKnP9WJQUG89m2bekyRJmi+DHElt1WxvjQGOJKkr7MkZSAY50gDoRIDQTJ3NzrsxwJEkSe1kdjVpQLRr/Zzpwcd86+x0UCRJUkeMJ0RFPSzj9uRUxZ4caYC0GjQ0O4zMYEWSJPUSgxxJgMkCJEnS4DDIkQZMp4aNmSxAkjSIMscr3VQNgxxpAHVq4U2TBUiSpH5g4gFpQM0naYDJAiRJQy+pLiGAeQcqY5AjDSEDFUmSNMgcriYNMOfRSJJUh4uBDiSDHGnAOY9GkiQNG4erSUPA4EaSJA0TgxxJkiQNr/FxoKLUzuOmkK6Kw9UkSZIkDRR7ciRJkjS8qkwIYOKBytiTI0mSJGmgGORIkiRJGigOV5MkSdLQyvFxsqLEA2nigcrYkyNJkiRpoNiTI0mSpOFl4oGBZE+OJEmSpIFiT44kSZKGVyaM25MzaOzJkSRJkjRQDHIkSZIkDRSHq0mSJGl4ZUJFKaQdrlYdgxw1ZfPmzaxduxaA9evXs3r16u42aABt2rTJZ1wBn3M1fM7V8Dl3ns9Y6g8GOZIkSRpaOZ5kVNPDkvbkVMY5OZIkSZIGij05kiRJGl45TnVzciq6j+zJkSRJkjRYDHIkSZIkDRSHq0mSJGlomXhgMNmTI0mSJGmg2JOjRiyYOPjJT36y58XNmzezdOnSrjRokG3evHnKsc+4M3zO1fA5V8Pn3HkzPeP777+/tsiCvS5ST9uZj1WWEGAnOyq5jyDsNtN8RcSzgVu63Q5JknrYKZl5a7cboblFxErg3i4344jM3NTlNgwsh6tJkiRJGij25GjeImIf4MTy9AFgrIvNkSSpVywADimP78jMnd1sjOqLiIXAoV1uxubM3N3lNgwsgxxJkiRJA8XhapIkSZIGikGOJEmSpIFikCNJkiRpoBjkSJIkSRooBjmSJEmSBopBjiRJkqSBYpAjSZIkaaAY5EiSJEkaKAY5kiRJkgaKQY4kSZKkgWKQo7oi4oyI+GREbIqInRHxcER8IyLeHhGHtFj3iRFxZVn3roi4PyKujYhfblf7+1VEXBoRGRGvbFM99bYL29T0vtGuZ1zW5We51KlnMWyf5U5+pvy8TvLzKg0mgxzNKiIWRsRHgOuAXwUOBxYDBwAnAW8DvhURP99k/WcDtwHnl3UvAg4FzgI+HxGXtvyH6FMR8RKgXT/4ntWmegZKO5+xn+VJHX4WQ/NZ7uRz9PM6yc+rNLgMcjSXdwGvKI8/A/wisAI4EXgzsB14IvC5iDi8kYoj4iTgYxQ/UG4BnlfWfQpwTVns9RHxupb+BH0oIl4MfII2/PuMiBHgGeXpaykC1Nm2v2v1fv2izc/Yz3Kpk89imD7LHX6Ofl5Lfl6lAZeZbm57bcBhwONAAh+Zpcyza8p8oMH6P1de931g/2nvBcUX0AS2AAd0+3lU9MxHgEuAsfLPPrG9soU6f6amnhO7/Wfs9tahZ+xnuYJnMUyf5Q4/Rz+v1Tznofm8urn16mZPjmazFlhYHr91pgKZeStwdXl65nwrjojja8q/MzMfnVZvAhcB48By4Nx5t7pPRcSLgG8Cf0zxRfy2NlV9crnfDnynTXX2pU48Yz/Lkyp4FkPxWe7kc/TzOsnPqzT4DHI0m8OAUeDHmblxjnJ31ZSfrzPKfQLXzlQgM+8Fbi9P1zZQd7+6nmIY4OPAxcDL2lTvxA/ab2TmWJvq7FedeMZ+lid1+lkMy2e5k8/Rz+skP6/SgDPI0Ywy822ZuS/w1DpFn1LuH2yg+meW+42ZuWWOchM/XIZh8mYCnwaenpkTw6naYeLZ3R4RvxMRX4mIhyJiNCK+GxHviojlbbpXr+vEM35mufez3PlnMSyf5WeW+048x07W3W+eWe79vEoDamH9IhpmmfnwbO9FxGHAi8vTmxqo9qhyf3edchM9SCsjYmFm7m7gHv3m+Mxc384KIyIosuABvIYiM96Ue5bbb0fE2Zn59Xbevwe1/RnjZ7nWUeW+7c9iyD7LR5X7TnymOll3vzmq3Pt5lQaUPTlqSvmf+AeBJeVLlzVw+YpyX6/356GJ2wHLGqi/73TgyzcUvWwHlseLKDL4PJvJDHnvAnYDhwDXRcTRHWhDz+jQM/azPKmTz2KYPsudfI5+Xif5eZUGnEHOgIqIt81zEbLa7fIGbvF+Jidt/kNmfqmBaycCo9E65WrfXzJrqS6q4Dm34nBgE8XE2Vdm5msy87bM3JqZ38rMtzA5L+Vg4D0VtashPf6M/SxP6uSzGIjP8jx18jkOzOe1Dfy8SgPOIEcNicL7gTeUL90B/G6D1TgJswKZ+eXMPAJYmplXzFLm0xRpVAHOiYiDK2vgYPCzPKljz2LIPsud/Ez5eZ3k51UacM7JGVx/A3yywWsemuvNiFgM/B+KlaEBvgucPj315jxsL/f1fiu2tOa43m/buqXtz7ndMnNXnSKfoVjde4RiSMW6jjeqMb38jP0sT+r4sxiAz/J8dPI5DtLntVV+XqUBZ5AzoDJzK7C1XfVFxBMo1sRZU750G3BGZj7QRHXbyv1BdcotK/djNJa9rTLtfs5d8sOa40O61opZ9Pgz3lbu/Sz3xrPo6c/yPG0r9514jp2su99sK/d+XqUB5XA11RURxwL/ymSAcz3wvCYDHICJCeCr6pQ7stzfl5njTd5r6JVJIuZSm/ln+6ylNBM/y5M6/iyG5LPcyefo53WSn1dpwBnkaE4R8TSKAGdivZwPAS9uYoharTvK/TERceAc5SYWU7t9jjKaRUR8NCK2ABvqFD2h5rgTGcgGmZ/lSR17FkP2We7kZ8rP6yQ/r9KAM8jRrCLiGOCLTHaj/1FmvroNayZcV+4XMJmhbfq9j2BysbbrW7zfsNoGLAeOjogTZipQ/qbx5eXpPcCdlbRscPhZntTJZ7GN4fksd/I5+nmd5OdVGnAGOZpRRCwCPg4cWr70xsx8RzvqzswfMLl46CURMWVMdPmf//soPp9bgCvbcd8h9NGa40tnGTrxZiZ/iL83M7PjrRogfpYndfhZDM1nuZPP0c/rJD+v0hDITDe3vTbgQiDL7ePA/vW2Ga6/s9yeM0P9z6aYyJnAfwCnUyyUdjLw6Zp7v67bz6JLz/+ommfwyjp/T3M953+oqeefgedS9Mw9g2Ix14n3vgSMdPvP3afP2M9yG56Fn+XKnqOfVz+vbm5DsXW9AW69uQF31fwnPK9t2vUX17z3vFnu8Urg8TnqfF+3n0MXn/9RNc/hlXOUm/M5U6Q//Wydv7t1wAHd/jP36zMuy/hZbvFZ+Fmu5jn6efXz6uY2LJvD1bSXiFgBHNvp+2Tm5RS/MbuSYnXoxylSdK4D1mbmRZ1uw6DLzFHgJcBLKcagP0DxnH8MfAH4DYq1jh7pWiMHgJ/lSZ16FsP2We7kZ8rP6yQ/r9LgiszsdhskSZIkqW3syZEkSZI0UAxyJEmSJA0UgxxJkiRJA8UgR5IkSdJAMciRJEmSNFAMciRJkiQNFIMcSZIkSQPFIEeSJEnSQDHIkSRJkjRQDHIkSZIkDRSDHEmSJEkDxSBHkiRJ0kAxyJEkSZI0UAxyJEmSJA0UgxxJkiRJA8UgR1JfiIhLIyIj4pUV3OvEiLgyIjZFxK6IuD8iro2IX+7He0fEPeWzq90urvP+9O3xiPhpRHwzIv4mIo6b434T11zeRFsvrrn+qGaviYhls/w5XtlomyRJ/ccgR1LPi4iXABdWdK+zgduA84HDgUXAocBZwOcj4tJBvPc8LAQOBp4BvAa4w4BBktSrDHIk9bSIeDHwCSr4/yoiTgI+RhFc3AI8D1gBnAJcUxZ7fUS8rk/v/VHggHJ75wzv31Tz/vRtBfBs4D3A7rKdH4yIZ7bQno7JzG1Mtv1p3W2NJKlqBjmSelJEjETEJRRf8BdXdNu3A0uBu4AXZOZXMnNrZt4KnAtcVZa7JCIO6MN7787MR8tt1wzvj9W8P33bmpm3ZeabgFeV5RcBFzXZlo6baDvwWLfbIkmqlkGOpJ4TES8Cvgn8McX/U7dVcM/jgTPL03eWX473yMyk+EI/DiynCDz6/t7NyMwrgE3l6ZputkWSpJkY5EjqRdcDJwKPAxcDL6vgnmeU+wSunalAZt4L3F6erh2QezfrvnJ/aFdbIUnSDAxyJPWiBD4NPD0zLwHGKrjnM8v9xszcMke5iUDjWQNy74ZFxGJgdXn6o262RZKkmSzsdgMkaQbHZ+b6iu95VLm/u065jeV+ZUQszMzdfX7vZrwBeEJ5/JkutUGSpFkZ5EjqOV0IcKDIHgbwYJ1yD5X7AJYBc/W89MO9ay2IiP1neH0EOAg4Hng58Mry9R8xc5Y2SZK6yiBHkgpLyv1onXK17y+ZtVT/3LvWLwGPzLPs7cDLMvMnHWiHJEktMciRpEIV83568d6N2AhcB3wW+EKZ9U2SpJ5j4gFJKmwv9/V6SJbWHNfreemHe9f6SmbGxFa259nA58v3DwO2Ajd0MMAZb+KaaPF6SdKAMciRpMK2cn9QnXLLyv0Y9efQ9MO9Z5WZOzPzNuAs4B8oFv98G3BZB2+7o+Z40Tyv2XeW6yVJQ8ogR5IKE8kOVtUpd2S5vy8z29Vr0M1711Xe61XAt8uXXhMRr+/Q7WqTKSyf5zUT5cYpepokSUPOIEeSCneU+2Mi4sA5yp1c7m+fo0w/3XteMnMH8AqKBVoB/jwifrYDt7qr5vip87zmhHJ/d2b2y/wmSVIHGeRIUuG6cr8AOHOmAhFxBJMLd14/IPeet8z8d+Dd5ek+wAcjot0/R25jcsjZS+sVjognA6eUpze2uS2SpD5lkCNJQGb+ALipPL0kIqbMj4mIAN5H8f/mFuDKQbh3E94BfL88/nngNe2sPDO3Ax8pT18cEa+YrWxELAAuZfJn2d+3sy2SpP5lCmlJAyUi7iwP/y0zL2jw8jcCNwOrga9GxP8AvkExF+ZtwDlluYvLL+M9c++qZObOiPg94IvlS38WEddk5o9mKL46Iv7rPKr918z8ds35m4EXA08CroyI04ArKOYubQcOAU4FLgSeU17z15n5tcb/RJKkQWSQI2nQHFfuNzd6YWbeGhGvAj4EnAh8YYZi78/M2bKLdfPelcnMf4qIjwDnAwcCfwX86gxFf6Hc6nkjk0kNyMyfRsQvAp+kGKL3m+U2k3GKXq4/nG/7JUmDz+FqkgZVU+u4ZOblFBP8rwQ2UUy0fxBYB6zNzIt6/N5VuYjJNNbnRsTZ7aw8MzdQ9Nb8/+3dvy4EURQH4N9JVKIQnYpWwQspxEuoeQOvwANoPIoHoFYqFa5iJ1kkZP3J4uz3VZOdmT0zmeqXe+69R0muktxmtjfQU5KHzBZfOE+yP8Y4WeZqcwD8fUZygD9vjHGX1xs+fnRtVdX1N+vdJPlsu9mv1v5mzd0v3HOfZOudcwt9qwVqPGbWpnb5E/8HwOowkgO0Mk3SP8h8cvxK1AYA5oQcoI2qWstsfsZ2kotVqQ0AvKZdDejkKcleksNpT5dVqb2otaramI4fp3awtl686/qvPggAS1djfGl+LAD/RFXdJdl58/PZGON0+U+zHFW1mfnCCC8dTws8ANCYdjUAAKAVIzkAAEArRnIAAIBWhBwAAKAVIQcAAGhFyAEAAFoRcgAAgFaEHAAAoBUhBwAAaEXIAQAAWhFyAACAVoQcAACgFSEHAABoRcgBAABaEXIAAIBWhBwAAKAVIQcAAGhFyAEAAFoRcgAAgFaEHAAAoJVneU396P2yKFYAAAAASUVORK5CYII=\n", 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" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Data2,ax2 = ds.plotQPlane(EMin=EMin, EMax=EMax,xBinTolerance=0.03,yBinTolerance=0.03,\n", " binning='xy',vmin=2e-7,vmax=1e-5,colorbar=True)\n", "\n", "ax.get_figure()" ] }, { "cell_type": "markdown", "id": "65d08870", "metadata": {}, "source": [ "## Binnings explained\n", "\n", "The bin sizes depends on the other parameters provided to the method. The tables below seeks to show all of the possibilities:\n", "\n", "| Binning (rlu=False) | Parameter | Unit | Limits | Comment |\n", "|---------------------|---------------|------|--------------|---------------------|\n", "| XY | xBinTolerance | 1/AA | (0,$\\infty$) | Binning along $Q_x$ |\n", "| XY | yBinTolerance | 1/AA | (0,$\\infty$) | Binning along $Q_y$ |\n", "| Ploar | xBinTolerance | rad | (0,2$\\pi$] | Angular Binning |\n", "| Ploar | yBinTolerance | 1/AA | (0,$\\infty$) | Radial Binning |\n", "\n", "With rlu true\n", "\n", "| Binning (rlu=True) | Parameter | Unit | Limits | Comment |\n", "|--------------------|---------------|------|--------------|----------------------------------------|\n", "| XY | xBinTolerance | RLU | (0,$\\infty$) | Binning along first projection vector |\n", "| XY | yBinTolerance | RLU | (0,$\\infty$) | Binning along second projection vector |\n", "| Ploar | xBinTolerance | rad | (0,2$\\pi$] | Angular Binning |\n", "| Ploar | yBinTolerance | RLU | (0,$\\infty$) | Radial Binning |\n", "\n", "\n", "For further explanation of the RLU axis see [Reciprocal Lattice Unit Axis](ReciprocalLatticeUnitAxis.html)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }