{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Jupyter notebook example: treatment of Fe K-edge XANES spectra of a volcanic melt\n", "\n", "Charles Le Losq, IPGP\n", "\n", "In this notebook, we will see how one can process spectra at the Fe K-edge using Larch in Jupyter.\n", "\n", "This is particularly useful as Jupyter provides an \"interactive\" environment to play with Python, Larch and the spectra.\n", "\n", "First we import the necessary libraries and Larch functions:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# this is a jupyter command that tells Jupyter how to handle your plot. \n", "#If you want interactive plots, replace 'inline' by 'notebook'\n", "%matplotlib inline \n", "\n", "# now we import 'traditional' data processing Python libraries\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# and now larch\n", "import larch\n", "from larch import Interpreter, Group\n", "from larch.xafs import autobk, xftf, mback,pre_edge, pre_edge_baseline\n", "from larch.io import read_ascii\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now import data, here a Fe K-edge spectrum of a Fe foil:\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "data = read_ascii('../xafsdata/fe.060')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can access the energy:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([6911.98862, 6916.99353, 6922.006 , 6927.0007 , 6932.00293])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.energy[:5] #just the first 5 elements" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and calculate the absorbance spectrum from It and I0:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "data.mu = -np.log(data.it/data.i0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now plot the data with Matplotlib:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$\\\\mu(E)$')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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QWiBpa6jLx2olZ0MvjfmmooB5j0/LLK226nwKawzBJ9Rs1WagZairIzU+phldph4fscaniTU+RETOyq6Cz6pVqzBu3Dh4e3sjKCgICxYsQHZ29jWv2bdvHyQSidUtKyurl1rtWFobhmqrx0cuk4pDUEDL3l1eVwcfuWWPD9B28CkyFiSHKi17fEzDbbUdCC2moa5+Vw11sceHiMh52VXwSUlJwfLly3H48GHs3r0bWq0WycnJqK+//saS2dnZKCoqEm+DBg3qhRY7HtNQl9lMcos9s65mPtzlZyxIvrrHx80YeGRSiTi1va0p7cWmHp+rgo/SveNT0U09Pv3EHh/W+BARObvWf5W3kR07dljcX7duHYKCgpCeno4pU6Zc89qgoCD4+vpe9zXUajXUarV4X6VSdaqtjspU3Ozn4YoX5wyBWqvDgH5ebZ6vdJeL08Yj/TwAtGwvYWKa1QUYhrs0Om2rqzfXNGpQbKzxiTA+l4mv2dT59ipTWW59wVldRERkVz0+V6upqQEA+Pv7X/fcUaNGITQ0FDNnzsTevXvbPG/VqlVQKpXiLTIystva6whMgUQuk+CucZFYnBR9zfPNe2b6B3oCaGWoy6y251qrN6deqIBeAAb08xR7aUxaZmQ1QxBa30TVXGOzDrXGeqAgn6uHuljjQ0TkrOw2+AiCgBUrVmDy5MlISEho87zQ0FB88skn2LRpEzZv3oy4uDjMnDkT+/fvb/X8lStXoqamRrzl5+f31I/QJ5l6fOSy9v3V6B/gKf45PswHQNvFzeZ/Nq3lcyyvChn51QCAA+fLALTspG7O1OOj0QnimkHXYppi7yaXwtvYHlOtEnt8iIicl10NdZl7/PHHcfLkSRw4cOCa58XFxSEuLk68n5SUhPz8fLzzzjutDo8pFAooFAqr42RgqvFxbWfwGR/jj08P5iLCzx2JEb4AWvbVMjHv8XEzFjo3anQoUTVh4UeHAABHX74JB89XAABuaCX4uMtlcJVJ0azTo6ZRYxWurtayho+buPVFy7YX7V8LiIiIHItd9vg88cQT2LJlC/bu3YuIiIgOXz9x4kTk5OT0QMscX0d7fOYkhOCnFVOw9YkbIZOaAkbbNT4exvV4Gpq12HqySDz++eHLyC03FLFPiA2weh2JRGKxRcb1XD2VHWgJZA0dWAuIiIgci10FH0EQ8Pjjj2Pz5s3Ys2cPYmJiOvU8x48fR2hoaDe3zjmYprPLXSTXObPFwCBvMZQArfX4SK0ea2jW4VxJrXh887ErAIAwpZvVwogmppWiqxubr9umUmORtKm+B2gJZA3NOuhb2ZqDiIgcn10NdS1fvhxffPEFvv/+e3h7e6O4uBgAoFQq4e5umFK9cuVKFBQU4LPPPgMAvPvuu4iOjkZ8fDyam5uxYcMGbNq0CZs2bbLZz9GXabQd6/FpjVQqgYerTKzFMQ9C7q4tm42aZnABwJUqw8ywgcHebT6vqc7HtIP7tYhT2b3Mg09LOxo0OqsibCIicnx29S//6tWrAQDTpk2zOL5u3To88MADAICioiLk5eWJjzU3N+PZZ59FQUEB3N3dER8fj61bt2LevHm91WyHYqrx6UrwAQwhwxR8zFd4NvW6NGp04po95gZeY+q8aaaXaT+vaxGHusy2vlC4SCGVAHoBaFBrGXyIiJyQXf3L355pyuvXr7e4//zzz+P555/voRY5H63e0OPT3uLmtvh5yMWZVaatIgDAw7WlwLhE1UrwCbpG8DH23pie91quXrwQgLiPWG2TFvXtmBlGRESOx65qfMj2zNfx6Qp/z5bd1c1rdkybjVY3NIubmIabrQw9KPj6PT7tCj4qy53ZW16/43t+ERGR42DwIQumoS6XLvb4BHi2BA4fs01O3Y3B46JxBpfCRYpx0X7i4+0Z6iprx1BXWa3lqs0mHoqWGiMiInI+djXURbZnms7e1aEu8/oZyxlfhuBxsawOABCidMNto8Jx9FIVHrwhGn5mPUVXa2+Pj0anR2WDYeaX+awuw+u3zCojIiLnw+BDFlrW8enaUFdUQMteW15ms7o8jIHItGZPsI8bpscF4eCLM677nP28DL03rdUGmauoa4YgAC5SibhjvImpuLqOPT5ERE6JwYcsNHdwAcO23J/UHwoXKcb094NU2hKiTNtHmJbRCfFxa+3yVoX6Gs4tq1NDrdVZrAhtzrRqc6CXwuK1AS5iSETk7Bh8yIJGa5zO7tK14OPtJscjN8ZaHb96KCtE2f7gE+DpCne5DI0aHQqrmxAT6NnqeaUq6xldJh7ctoKIyKmxuJksdFeNT1sCvCyDT3AHenwkEgki/AwzwPIrG9o8r7XtKky8uqG4ubS2SZz9RkREfQuDD1norhqftgRc3ePTgeADAJH+htqh/KprBR/r7SpMxHWEOlnc/OPJQiSt2oNZ/0zB5Yr6Tj0HERHZDoMPWeiuGp+2+FsNdVmHk2uJDjAMbx26UIGtJ4taLXRuWbzQOlR5mm2S2lGNzTo8/81J6PQCLlc0YOlnaWjk7DAioj6FNT5koaO7s3eUl8JF3DYC6NhQFwAkRioBAFtPFmHrySJ4u7ng5uGhaNTo8OLcIQhVuos1Pq0NdXWlxudUQY04DT7A0xXnSurw5ZE8PDS5c5vpEhFR72OPD1nQGhcwdO1icXNbJBIJzDdGD1O6t31yK0ZH+Vncr23S4quj+fg+oxDLPk8H0LLAYWvBx1PR+ZWbj+dVAQDmxIdg+fSBAICdmcUdfh4iIrIdBh+y0NzDNT4A8MCkaADApAEBVtPNryfCzx2z44MR4OmKPy9IwAtzhuCGgQEAgBNXalCiakKZabuKVnqTTENd9Z0Y6jqeVw0AGBXli1nDggEARy9VorK+ucPPRUREtsGhLrLQXbuzX8uLc4dgQD9PzBse2uFrJRIJPl481uLY76YNwOx/7kd2SS2OXa5CibHGJ7SVqfIeXVi5+UyRCgAwPEKJSH8PDAryQk5pHY7nVWHm0OAOPx8REfU+9viQBY22Z2t8AMBNLsPipGgEeHWssPlaTLU/208XQ6cX4OoiFXdzN+fVyaEutVaHK8aZZKb9xIaF+QAAsoprO91uIiLqXQw+ZKGnp7P3lBERvgCAraeKABiGxFobRhM3Ke3gUFd+ZQP0giE4mRZGjAvxBgBkM/gQEfUZDD5kQWOsPHaR9q2/GiMjfQEAOmP7I/08Wj1P3LKig7O6LpYZ1uyJCfSERGIIVEOMwSerWNXh9hIRkW30rW836nFaY4+PSx/r8YkL8baYiRbl33rw8XDt3CalF8tbgo/JkBDDUNfFsnqu5ExE1Ecw+JAFbR/t8ZHLpBjbv2Wqu6kH6GqmGh+1Vi+GPHPVDc04fLECevM59wByy6yDT6jSDd5uLtDqBVwoq+vqj0BERL2gb327UY/rqz0+ALDUuCmq0l2Om0e0PmPMVOMDAA0ay+Guo5cqccNbe3DPJ4fx7DcnIAgt4SfX2OMT268l+EgkEg53ERH1MQw+ZMHU49PXipsBYPqQIKz57Wh89ehEuMllrZ7jKpPCxVj0bD6zS9WkwdNfZYh7eG0+VoAjuZXi46ahrthAL4vnixODDwuciYj6Aq7jQxZM6/j0taEukzkJ114bSCKRwFPhgppGDerVOpSqmnD/p0dQUNWIWrUWUf4eiA/zwfbTxfjhZCEmxAZA1aRBuXE16OhAy9ohU51PVhGDDxFRX9A3v92ox/Tloa72Mt+o9Kuj+cgqrkWtWgtXmRT/vDsR946PAgDsOF0MQRDE+p5+3gp4u8ktnsu0ls/pghqLoTEiIrJP7PEhC7o+WtzcEd5ucqCmCdUNGvxwohCAYTXphaPCEeTjhmatHgoXKcrrmnGhrE5cpyfWrLDZJD7MB64uUlTUNyO3vB6x/bysziEiIvvhuN9u1CkaveP3+AT5GBYgPFVQg5zSOkglwL3jo8S9vVxdpOJmqL/mVmJ/ThkAYHyMv9VzKVxkGGlcPDHtUlUvtJ6IiLqCwYcsmHZnlztwj0+wMeDsPlMCABgc7A2lu+UQlinkfHe8AHuzSgEA0+L6tfp8Y6MNISn1YkWPtJeIiLqP4367UaeIxc0O3OMTbOzxycivBgAkGntszM1PDINUAhy9VIX6Zh36eStaPQ8AZgwJAmAIUk2ajm9+SkREvYfBhyzoTENdrexz5ShMPT4mI4wbnJobGOSF+5OiAQAhPm74ZPEYuLSxcevoKD+E+7qjTq0Ve4eIiMg+MfiQBa3Y4+O4fzWCvC2Dz4RWancA4I+3DMOBF6bj4IszMCrKr9VzAEAqlWBuQggA4KezDD5ERPbMcb/dqFM0TtHjoxD/HOjligFtzMSSSiWI8POArB3/L6Ybh7tSzpVZbXdBRET2g8GHLIjFzQ7c4xMb6AXjBuu4YWCguNt6V4yN9oOHqwzldWqcKer69hUMT0REPcNxv92owwRBaNmk1IGLm5UecqQ8Ox1v3p6AV24e1i3PqXCRiTPB0i5VXufsa3vvpxwk/mkXNh7N646mERGRGQYfEunMehkceagLAKICPHDfhP7o5624/sntNMZYB5SeV93p58jIr8Y/fzqH2iYtXth0CumXuxaiiIjIEoMPibTmwceBh7p6ypj+huBz7HLnFzL89/6LFve/SS/oUpuIiMgSv91IpDHu0wU4fo9PT0iM9IVUAhRUN6KophGAYfjwgz05eOLL49iTZVgwUaPT46VvT2HK3/diTcoFcY+vJo0O+7INs8KenxMHANhxusjifSEioq5h8CGRqbAZcOzi5p7iqXDB0FDDpqXHLlcDAD7ZfxHv7DqHH04U4uH/pOHjlAtY9nk6vvg1D3mVDXhrexbWHbwEADh4vhz1zTqEKt2w9MZYBHi6oqpBw60wiIi6Eb/dSGSayi6RoF1TuMmaabgr/XIVSmub8M+fzgEApBJAEIBV27Pwc1Yp5DIJhocbFk5ctf0sTl2pwebjhmGt2fEhkMukmDQwEABwJJd1PkRE3YXBh0QtO7Mz9HRWS/CpxJp9F9Gk0WNUlC/O/WUulk8fAD8PORLCfbDh4QnY8vgNmB0fDI1OwIKPDmLrySIAwJ1jIwAA4417gB3t4iwxIiJq4WLrBpD9EFdtduANSnva+Bh/SCTAiSs1OHGlBgDwzE2D4SKT4rnZQ/Dc7CEW5/99USJOF/yCgmpDTVBCuA/iwww9QeOM0+OP5VVBo9Nz+JGIqBvwX1ISmYpoHXkNn54WqnTHrKHB4v0x/f1w46DANs9Xesjxr9+MgrfCBYODvfD3RYniY4ODDLvGNzTrkFnY9UURiYiIPT5kxjSdnT0LXfPkzEE4eL4c0YGe+NuiEdddGXp0lB/SXr0JrjKpxblSqQTjov3w09lSHM2txMhI3x5uORGR4+M3HInEHh/W+HRJQrgSp16fja1P3oiBQa3vA3Y1hYus1YA0Ltow3HWEdT5ERN3CroLPqlWrMG7cOHh7eyMoKAgLFixAdnb2da9LSUnBmDFj4ObmhtjYWKxZs6YXWut4WNzcfaTd9P9wnNk2GNy/i4io6+wq+KSkpGD58uU4fPgwdu/eDa1Wi+TkZNTX17d5TW5uLubNm4cbb7wRx48fx0svvYQnn3wSmzZt6sWWOwaNqbiZQ112Y3i4El4KF1Q1aHA8n+v5EBF1lV3V+OzYscPi/rp16xAUFIT09HRMmTKl1WvWrFmDqKgovPvuuwCAoUOHIi0tDe+88w4WLVrU0012KFoOddkduUyK5PhgbD5WgG+PF2BMf39bN4mIqE+z61/ta2oM04H9/dv+xz41NRXJyckWx2bPno20tDRoNBqr89VqNVQqlcWNDEwjKVy80L4sGBkOAPjhRBFKVU3YdqoIKzefxE9nSmzcMiKivsdug48gCFixYgUmT56MhISENs8rLi5GcHCwxbHg4GBotVqUl5dbnb9q1SoolUrxFhkZ2e1t76v0xj2jpNeZhUS9a9KAAAwJ8UZNowbj//ozfv/fY/jySD6Wfp6Gb9KviOc1aXQ4eqmSe3sREV2D3Qafxx9/HCdPnsSXX3553XOvng1j2vSxtVkyK1euRE1NjXjLz8/vngY7AFNxc3cV5lL3cJFJ8cFvRsHXQw4AcJfL0D/AA4IA/PnHM6hp1KC4pgkLPzqEO9ek4s41qSivU9u41URE9smuanxMnnjiCWzZsgX79+9HRETENc8NCQlBcXGxxbHS0lK4uLggICDA6nyFQgGFQtGt7XUUph4f1jbbn4FB3kh5bjrOFKowIMgTAZ4KzH1vP86V1OH9n3NwuqAGZ4oMw7YZ+dVYtS0L/3dX4nWelYjI+djVV5wgCHj88cexefNm7NmzBzExMde9JikpCbt377Y4tmvXLowdOxZyubynmuqQONRl35TuciQNCECQtxtkUglWzh0KAFh7IBe/5lbCXS7Du3ePBAB8e/wKcsvbng1JROSs7Cr4LF++HBs2bMAXX3wBb29vFBcXo7i4GI2NjeI5K1euxP333y/eX7ZsGS5fvowVK1bg7Nmz+PTTT7F27Vo8++yztvgR+jTj5uwMPn3E9CFBuMu4oalEArw2fxgWjArHjCFB0AvA2gMXbdxCIiL7Y1fBZ/Xq1aipqcG0adMQGhoq3jZu3CieU1RUhLy8PPF+TEwMtm3bhn379mHkyJH485//jPfff59T2TtBJ/b42Lgh1G5/WTAcH/5mNPY/Nx33jI8CADxyo6GndPOxAqiarGc2mpwuqMF7P+XgEnuGiMiJ2FWNj6ko+VrWr19vdWzq1Kk4duxYD7TIuZhWBuZ09r7D1UWKm0eEWhxLig3AoCAv5JTWYeORfCydEmt13ZqUC/j7jizoBeBfe3Lw4X2jMTs+pLeaTURkM3bV40O2ZVrHh0NdfZtEIhF7fT7efwENzVqLx1fvu4C3thtCj0Ri2Jz2xU0nUVbLmWBE5PgYfEikY3Gzw1g4OgKR/u4or2vG61syxd7Uf++/iL/tyAIAPDc7Dtl/nothoT6oatDgle9OtavXlYioL2PwIZEgcKjLUchlUvzp1gRIJcDXaVdwx5pULP/vMby57SwA4JmbBmP59IFwdZHi/+5KhFwmwc7MEmw8ynWtiMixMfiQyLSAITt8HMP0IUH4+x2JcJNLkX65CltPFQEAnpwxEE/dNEg8b2ioD56+aTAA4OXvTmNfdqlN2ktE1BvsqriZbEvH4maHc8eYCNwwMAD/S7uCK1UNuG1kOG4YGGh13u+mDsD50jp8e7wAv//vMXz16ESMiPDt/QYTEfUwBh8Smco7ZOzycSihSnc8OXPQNc+RSiX426IRKKtV48D5cjy0/ig2/W4S+gd49lIriYh6B4e6SKS7xh5n5PhcXaRY/dvRGBbqg/K6Zjzx5XFoueEpETkYBh8Sca8u8naT49MHxsHbzQUnr9Rg/aFLtm4SEVG34lcciUwLGHI6u3MLUbrh5XmGfcDe2ZWNvIoGG7eIiKj7sMaHRKbiZimLm53e3eMi8X1GIVIvVuCRz45i6Y2x0OoF+HnIMaa/P/p5K2zdRCKiTmHwIZGexc1kJJEYip0XrTmEcyV1eO6bk+Jjri5S3DchCrOGBSPc150F0ETUpzD4kEjPTUrJTFSAB354fDL+vjML5XXNcJVJkF/ZiOySWqw7eAnrDl4CAIyP8cc/7kpEhJ+HbRtMRNQODD4kEoMPkw8ZhSjd8I+7Ror3BUFAyrkybDyaj6ziWuRXNuBIbiXuWpOKjY8lIdKf4YeI7BuDD4lMM5dZ3ExtkUgkmBYXhGlxQQCA/MoGLFl3BBfL6rFsQzo2/W4S3OQyG7eSiKhtnNVFInE6O4MPtVOkvwc2PDwB/p6uyCxU4eVvT3OjUyKyaww+JNJzVhd1QpivOz64dxSkEmDTsSv4245saLjwIRHZKQYfEulY3EydNGlgIFbONaz9syblAu5YfQjnS+ts3CoiImsMPiQSp7Mz+VAnLJ0Si/fvHQUfNxecuFKDee/9gnd2ZqOxWWfrphERiVjcTCKu3ExddWtiGMZF+2Hl5lPYl12GD/aex79/uYhALwWaNDroBQGDgr2RPCwYt40M50KIRNTrGHxI1DLUxeBDnReqdMe6B8ZhZ2YJ/vzjGRRUN6KgulF8/EhuJY7kVmLV9ixMG9wPs4YFY1SUH+JCvG3YaiJyFgw+JOIChtRdJBIJ5iSEYNawYORXNqC6UQMPVxk0Oj3SL1dh87ECZORX4+esUvycVQoAGBrqgydmDMSc+BAW2BNRj2HwIZFpqIs1PtRdZFIJogMtt7SID1Pi/qRonC+tw/cZBTiWV4WjuVU4W6TC7/97DMNCffCH5MGYMSQIEvY+ElE3Y/Ahkam4mb9tU28YGOSFPyTHAQCqG5qx7uAlrD2QizNFKjz8nzTMGBKEd+8ZCR83uY1bSkSOhLO6SCTuzs7cQ73M18MVz8wajF+en45lUwdA4SLFnqxS3Lk6FWW1als3j4gcCIMPibhyM9man6crXpw7BN8sm4RgHwWyS2px9yepuFReb+umEZGDYPAhkSn4sK6CbG14hBIbH01CmNINF8vqcesHB7Avu9TWzSIiB8DgQyLTLgMsbiZ7EB3oie+W34DRUb5QNWnx0PqjWJNygXuBEVGXMPiQyPSFwuBD9iLIxw1fPjoR94yLhF4A3tqehfs/PYLTBTW2bhoR9VFdCj4ajQb5+fnIzs5GZWVld7WJbMRU3MyRLrInChcZVi0cjj/fFg9XmRS/5JTjln8dwKLVh5BTUmvr5hFRH9Ph4FNXV4ePP/4Y06ZNg1KpRHR0NIYNG4Z+/fqhf//+WLp0KY4ePdoTbaUepmNxM9kpiUSCxUnR2PXMFNyaGAZXmRTpl6tw878O4OOUC2jWcjd4ImqfDgWff/7zn4iOjsa///1vzJgxA5s3b0ZGRgays7ORmpqK1157DVqtFrNmzcKcOXOQk5PTU+2mHmAqneCWFWSvogM98f69o5Dy/DRMi+uHZq0eq7ZnYerbe/H/frmIOrXW1k0kIjvXoQUMDx06hL1792L48OGtPj5+/Hg89NBDWLNmDdauXYuUlBQMGjSoWxpKPU9cx4c1PmTnTPuBfZ2Wj3d2nUNRTRP+svUs1qRcwB+S43DPuEjOTiSiVkkEJ58ioVKpoFQqUVNTAx8fH1s3x6Ye/+IYfjxZhNfnD8MDN8TYujlE7aLW6vDd8QKs3ncBlyoaAABTB/fDilmD0T/AA64uUrjLZQxCRA6ms9/fHd6yYvHixfj444/h4eHR0UvJzomblLLHh/oQhYsMd4+LwsLREfjPoUv4+85spJwrQ8q5MvGccF93/GZCFB6YFA1PBXfqIXJmHS5u/uKLL1BXVyfef+yxx1BVVWVxjkaj6XrLqNe1bFnB4EN9j1wmxSM3xmLrE5MNBdAuLf+8FVQ34u2d2Zj2zj58dSQPWh2LoYmcVYd/9bl6ZOzLL7/ECy+8AD8/PwBASUkJ+vfvj6ampu5pIfUaPYubyQEMCvbG+/eOAgBodXo0aHTYnVmC9/fk4HJFA17cfAp/25GFkZG+8HKTw1UmxaxhQZg5NBhyGZc2I3J0Xe7zba1EqLm5uatPSzag15sWMLRxQ4i6iYtMCh+ZFIvGRGB+Yhg+P3wZH+09j4r6ZuzNbhkK23TsCuKCvbFq0XCMjvKzYYuJqKf1yGA3iwj7JrHGh+8fOSBXFykenhyDJUn9kXa5Cpcr6lGv1qFE1YSv0/KRXVKLRasP4bcT+uOJmQMR5O1m6yYTUQ/oVPD54osvMGXKFHFaO4OOY9BxqIucgItMiomxAZgYGyAeWzZ1AN7cdhbfpF/B54cv4+u0fNw7PgqPTY1FqNLdhq0lou7W4eAzefJkvPbaa6itrYVcLodWq8VLL72EyZMnY/To0ejXr19PtJN6AffqImfl5+mKd+5MxMJR4Xh7VzaO51Vj/aFL+O+vl3HPuCj8IXkwfD1cbd1MIuoGHQ4++/fvBwDk5OQgPT0dx44dQ3p6Ol599VVUV1ez96cP415d5OwmDQzE5gEBOHShAu//nINfcyvx+eHL2HaqCE/OHIR7x0dZzBYjor6n0zU+gwYNwqBBg3DPPfeIx3Jzc5GWlobjx493S+Ood+n07PEhkkgkuGFgIG4YGIhDF8rx2veZyCmtw2tbMvHvXy5ixazBuG1kOD8nRH1Uh351ycvLu+bjMTExuPPOO/HXv/4VAFBQUNChxuzfvx/z589HWFgYJBIJvvvuu2uev2/fPkgkEqtbVlZWh16XDLhXF5GlSQMCse2pG/GXBQno563AlapGrPj6BOa+tx+7MotbndVKRPatQ8Fn3LhxWLp0KY4cOdLmOTU1Nfj3v/+NhIQEbN68uUONqa+vR2JiIj744IMOXZednY2ioiLxxv3BOkfHWV1EVuQyKX47sT/2PzcdL8wZAh83F5wrqcOjn6dj4epDSL1QYesmElEHdGio6+zZs/jrX/+KOXPmQC6XY+zYsQgLC4Obmxuqqqpw5swZZGZmYuzYsXj77bcxd+7cDjVm7ty5Hb4GAIKCguDr69vh68iSnsXNRG1yd5Xhd9MG4Dfjo/Dx/gv49GAujudV495/H8aUwf3w2vxhGNDPy9bNJKLr6FCPj7+/P9555x0UFhZi9erVGDx4MMrLy5GTkwMAuO+++5Ceno6DBw92KsB01qhRoxAaGoqZM2di79691zxXrVZDpVJZ3MhAL25ZYeOGENkxpYccz88Zgv3PTcfiif3hIpVg/7kyzHl3P/71cw63wyCyc50qbnZzc8PChQuxcOHC7m5Ph4SGhuKTTz7BmDFjoFar8fnnn2PmzJnYt28fpkyZ0uo1q1atwhtvvNHLLe0bdNyklKjdgnzc8OcFCXjkxhi8viUTe7PL8H+7z+HnrFL8465ExLL3h8guSYROVufl5+cjMjKyu9sjkkgk+Pbbb7FgwYIOXTd//nxIJBJs2bKl1cfVajXUarV4X6VSITIyssPb2juiee/9gjNFKvznofGYOpjrMRG1lyAI+C6jAH/8PhO1TVq4yaV4ad5Q3DehP4eOiXqISqWCUqns8Pd3p6ez9+/fH35+fkhMTERiYiJGjhyJxMREqNVqfPjhh/jss886+9RdMnHiRGzYsKHNxxUKBRQKRS+2qO8Qa3xY3EzUIRKJBLePisCEmAA8980JHDxfgT9+n4mPUy7i5hGhGNjPCzB+rCJ83TEi0hdeih7ZMYiIrqPTn7yLFy8iIyMDGRkZOH78OL755hsUFhYCgE17To4fP47Q0FCbvX5f1rJXl40bQtRHhfm64/OHJuDzw5fxj93nUFDdiE/2X7Q6z9VFitnxIfj9tAEYGurcPc1Eva3TwSc6OhrR0dEWQ1GpqalYsmQJ/va3v3XqOevq6nD+/Hnxfm5uLjIyMuDv74+oqCisXLkSBQUFYm/Su+++i+joaMTHx6O5uRkbNmzApk2bsGnTps7+WE7NtIAha3yIOk8qlWDJpGjcPS4SOzOLcfhiJYpqGiEBoBeA86V1KKhuxA8nCrH1ZCEWT+yPFbPioPSQ27rpRE6hW/tak5KS8N577+GVV17B7bff3uHr09LSMH36dPH+ihUrAABLlizB+vXrUVRUZLGIYnNzM5599lkUFBTA3d0d8fHx2Lp1K+bNm9f1H8YJGXMPaxKIuoGbXIbbRobjtpHhFscFQUBmoQof7TuPbaeK8Z/Uy/guoxB3jInA/MQwjAhX8pcPoh7U6eJmjUYDudz6N5Tz588jISEBTU1NXW5cb+hscZQjmvr2XlyuaMCm3yVhTH9/WzeHyOEdPF+O17cYtsQwCfZRYNawYNw1NhIjInxt1zgiO9frxc2enp4YNmwYRo0ahZEjR2LUqFEICwvDv/71LyQnJ3f2acmGxKEuFjcT9YobBgZix9NTkHKuFJvSC7AvuxQlKjU2HM7DhsN5GB6uxH0TojA/MQyeLIYm6had7vE5cOAATpw4gRMnTiAjIwOZmZlobGwEACQnJ2PMmDEYMWIERowYgaFDh3Zro7sTe3xa3PDWHhRUN+L75TcgMdLX1s0hcjpqrQ6pFyrwfUYhtp4sQrNxMUQvhQtuHxWOJZOiMTCI6wMRAZ3//u508LmaXq9Hdna2ONPLFIpKS0uh0+m64yV6BINPi4l//RnFqib8+MRkJIQrbd0cIqdWWd+Mb9Lz8cWvebhU0QAAcJFK8MCkaDx10yB4u7EYmpybzYNPW0pKShAcHNyTL9ElDD4txr/5E0pr1dj65GTEhzH4ENkDvV7AoQsVWHvgIvZmlwEA+nkr8OKcIbh9VDgLoclpdfb7u0N7dXWGPYcessRNSonsj1QqweRBgVj34Hise3AcogM8UFarxh/+dwK3fngAm49dgVprv73qRPamx4MP9R2m4mau3Exkn6bHBWHnM1Pw/Jw4eLrKcLpAhRVfn8CkVXvw9s4sFNU02rqJRHaPwYdEpnV8JAw+RHZL4SLD76cNRMrz0/Fs8mCEKt1QUd+MD/dewOS/7cXyL44hI7/a1s0kslsMPiTS6znURdRXBHop8PiMQfjl+elY89vRmBjrD51ewNaTRVjw4UE8uO4ILlfU27qZRHaHwYdE3KuLqO9xkUkxJyEUXz2ahO1P3YhFoyMgk0qwN7sMyf/cj3/uPoc6tdbWzSSyGww+JNIJXMCQqC8bGuqD/7srET+tmIobBgZArdXjvZ9zcMNbe/DGD5k4llcl9uwSOSsuBUoivWGtNE6PJerjYgI9seHhCdh+uhjv7MzGxfJ6rDt4CesOXkKQt2FLjNnxIZgYGwBXF/7+S86FwYdE4nR29vgQ9XkSiQTzhodidnwI9ueUYVP6FezLLkNprRr//TUP//01D94KF0wfEoTZ8SGYPqQfPFz5lUCOj3/LSSQOdfEXQCKHIZNKMD0uCNPjgsQtMXZmlmD3mRKU16mx5UQhtpwohKerDDePCMWdYyMxtr8fZ3eSw2LwIQCAIAgwreHNGh8ix6RwkWFaXBCmxQXhzQUJOJ5fjV1nirH9VDHyKhvwddoVfJ12BUNCvLFkUjTmJoTA18PV1s0m6lY9vmWFveOWFQY6vYABL20DABx/dRb8PPmPHZGzEAQBRy9V4eu0fGw9WYRGjWElaBepBJMGBmJOfAhmDg1CsI+bjVtK1KKz39/s8SEALas2A+zxIXI2EokE42P8MT7GH6/ePAwb0/Kw+VgBsoprsf9cGfafKwO+BSYPDMRvJ0bhpqHBcJFxTJz6JgYfAtBS2AywxofImSk95Hh0ygA8OmUALpbVYfvpYuw+U4ITV6px4Hw5DpwvR4iPG+4dH4V7xkeyF4j6HA51cagLANDQrMWwP+4EAGS+MRueCmZiImqRX9mAL4/kYePRfFTUNwMwDIXNSQjBA5OiMYYF0dTLONRFXWK+phm3rCCiq0X6e+D5OUPw1E2DsON0MT5PvYy0y1X48WQRfjxZhPgwHyxJisatI8PgJpfZurlEbeKgBgFgjQ8RtY/CRYbbRobjm99NwtYnJ+PusZFQuEiRWajC85tOImnVz3hrexauVDXYuqlErWLwIQCGWR0m7PAhovaID1Pib3eMwOGVM/Hi3CEI93VHVYMGa1IuYMrf9+LRz9Jw6EI5nLyiguwMh7oIgGWPD4e6iKgj/DxdsWzqACy9MRY/ny3Bf1Iv4eD5Cuw6U4JdZ0owLNQHS6fE4JYRYZBzNhjZGP8GEoCWVZsBsECRiDpFJpUgOT4E/31kInY/MwW/nRgFN7kUZ4pUeGbjCdz4t71Yk3IBNQ0aWzeVnBiDDwGAuGoze3uIqDsMCvbGXxYMR+qLM/Fs8mAEeilQrGrCW9uzMO6vP+Hpr47j0IVy7hZPvY5DXQSgZaiLuYeIupOfpysenzEIS6fE4vuMQnx6IBdZxbX4LqMQ32UUon+AB+4aG4n5I8IQFeBh6+aSE2DwIQAtCxhyRhcR9QSFiwx3jY3EnWMicPJKDTam5WNLRiEuVzTg7Z3ZeHtnNhLCfTA3IRRzE0IQ28/L1k0mB8XgQwAAvd7wXw51EVFPkkgkSIz0RWKkL165eSi2nizCdxkFSL1QgdMFKpwuUOHtndkYHOyFOcYQNCTEm7WH1G0YfAhAS3Eze3yIqLd4uLrgzrGRuHNsJCrq1Nh9pgTbThfj0PlynCupw7mSHLz/cw5iAj0xPzEMd46JQKQ/h8Ooaxh8CID5UJeNG0JETinAS4F7xkfhnvFRqGnQ4KezJdh+uhj7c8qQW16P93/Owb/25GDmkGAsmdQfkwcGsheIOoXBhwBAnFkhZfIhIhtTesixaEwEFo2JQJ1ai5/OlGDTsSv4JaccP50twU9nSxAd4IHbR0Vg4ehw9gJRhzD4EICWvbpk/A2KiOyIl8IFC0aFY8GocFwoq8Nnhy7hm/QruFTRgH/+dA7//Okcxkf7Y+HocMwbEQofN7mtm0x2jruzc3d2AMCZQhXmvf8LAr0USHvlJls3h4ioTfVqLXZmFmPzsQIcvFAurkOmcJFi1rBg3Dk2EpMHBnKyhoPj7uzUJaYaH64mT0T2zlPhgoWjI7BwdASKahrxfUYhNqVfQU5pnbhbfLivOxaNicAdoyO4PhBZYPAhAGbBh0NdRNSHhCrdsWzqADw2JRaZhSr8Ly0f3x4vQEF1I97/2TArbHy0PxaNCcfc4RwKIwYfMjKt3MxZEkTUF0kkEiSEK5EQrsTKeUOxM7MY36RfwYHz5ThyqRJHLlXij99nYnZ8CBaNieBQmBNj8CEAZsXN/IeAiPo4N7kMt40Mx20jw1FU04jvjhdi07ErOF9ahy0nCrHlRCGCvBW43Vg0PTTUees7nRGDDwHgOj5E5JhCle743bQBWDY1FqcKarAp/Qq2nChEaa0aH++/iI/3X0RcsDduGxWGWxPDEOHHeiBHx+BDAACNzrBnhZzVzUTkgCQSCUZE+GJEhC9evnkY9maXYvOxK9ibVYbsklr8fUc2/r4jG+Oi/bBgVDhuGR4GpQfrgRwRgw8BADQ6Q4+PC4MPETk4VxcpZseHYHZ8CGoaNdhxugjfHS/E4dwKHL1UhaOXqvDGljOYMSQIC0aFY/qQflC4yGzdbOomDD4EANAae3xcZRzrIiLnoXSX4+5xUbh7XBSKa5qw5UQBNh8rQFZxLXZkFmNHZjGU7nLcMiIUC0eHY3SUHyeB9HEMPgSgZaiLPT5E5KxClG54dMoAPDplAM4WqfDt8QJ8n1GAEpUa//01D//9NQ9R/h5YMCoct48KR0ygp62bTJ3A4EMAWoa65OzxISLC0FAfDA31wQtzhiD1QgU2H7+CHaeLkVfZIK4PNCrKF7clhiE5PgRhvu62bjK1k139er9//37Mnz8fYWFhkEgk+O677657TUpKCsaMGQM3NzfExsZizZo1Pd9QB8TiZiIiazKpBJMHBeIfd41E2is34b17RmLq4H6QSoDjedV4/YczmPTWHtz6wQF8uPc8ckpq4eQ7Qdk9u+rxqa+vR2JiIh588EEsWrTouufn5uZi3rx5WLp0KTZs2ICDBw/i97//Pfr169eu66mFVuzxYfAhImqNh6uLuD5QaW0TfjhRhB2ni5B2uQonr9Tg5JUavL0zG7GBnpgVH4zZ8SEYGeELKdcJsSt2FXzmzp2LuXPntvv8NWvWICoqCu+++y4AYOjQoUhLS8M777zD4NNBGr2xxocfUCKi6wrydsPDk2Pw8OQYlNWq8dPZEuzKLMbB8xW4WF6Pj1Mu4uOUiwjyVmDWMEMImhgbAFcX/nJpa3YVfDoqNTUVycnJFsdmz56NtWvXQqPRQC63XoNBrVZDrVaL91UqVY+3sy/QaI1DXfxQEhF1SD9vBe4dH4V7x0ehtkmDfdll2HWmBHuzSlFa21IY7e3mghlDgjA7PgTT44Lg7sop8rbQp4NPcXExgoODLY4FBwdDq9WivLwcoaGhVtesWrUKb7zxRm81sc/QGveskLPHh4io07zd5JifGIb5iWFQa3U4dKECuzJLsPtMCcrr1Pg+oxDfZxTCw1WGm4YG49bEMEwZ3I89Qb2oTwcfwHpTTVNRWVvrLKxcuRIrVqwQ76tUKkRGRvZcA/uIhmYdAPA3ECKibqJwkWF6XBCmxwXhLwsScDyvCrvOlGDbqSJcqWoU9w3zVrhg+pAgJMcHY+rgfvDmDvI9qk8Hn5CQEBQXF1scKy0thYuLCwICAlq9RqFQQKFQ9Ebz+hRVowYA+IEjIuoBMqkEY6P9MTbaHyvnDkFGfjV+OFGEH08a9g0zhSBXmRSTBgZgdnwIkocFI8CL31fdrU8Hn6SkJPzwww8Wx3bt2oWxY8e2Wt9DbatTawEA3oo+/VeCiMjuSSQSjIryw6goP7xy81BkXKnGrkxDcfTF8nrsyy7DvuwyvPLdaSTFBmDe8FDcNCwIQd5utm66Q7Crb7m6ujqcP39evJ+bm4uMjAz4+/sjKioKK1euREFBAT777DMAwLJly/DBBx9gxYoVWLp0KVJTU7F27Vp8+eWXtvoR+ixT8PFk8CEi6jVSqQSjo/wwOsoPL8yJw4WyOuzMLMH200U4XaDCgfPlOHC+HC99CyRG+uKmIUG4aVgwhoR4c+uMTrKrb7m0tDRMnz5dvG+qxVmyZAnWr1+PoqIi5OXliY/HxMRg27ZteOaZZ/Dhhx8iLCwM77//Pqeyd0K9Mfh4MfgQEdmERCLBwCBvDAzyxvLpA3G5oh5bTxVhx+linLxSgxP51TiRX43/230O4b7umB0fgltHhiExQskQ1AESwcmXmFSpVFAqlaipqYGPj4+tm2Mzd645hKOXqvDRfaMxb7j1bDgiIrKdElUT9mSV4uezJThwvhxNGr34WP8AD8wfEYZbR4ZhcLC3DVvZuzr7/c1f7wkAUKc2zOriUBcRkf0J9nET1wpqbNbhwPly/HCiELvPlOByRQM+2HseH+w9j7hgb8xJCMGchBAOh7WB33IEgENdRER9hburDLOGBWPWsGA0NGux+0wJfjhRiJRzZcguqUV2SS3e+zkH0QEemJ0QgrkJoRgRruTWGUb8liMAQJPG0OPjJuciWkREfYX5/mE1DRr8dLYE208XY39OGS5VNIhbZwT7KHDT0GAkx4cgycm3zmDwIQBmKzdzk1Iioj5J6SHHojERWDQmAvVqLfZll2H76SLsyy5Diapl6wwvhQumxfXDrGHBmD4kCD5Otn4bgw8BADQ6blJKROQoPBUuuHlEKG4eEQq1VofUCxXYdaYEP50pQWmtGj+eLMKPJ4sgl0kwMbZlwcQgH8dfK4izujirCwAw7I870NCsw/7npiMqwMPWzSEioh6g1ws4caUau84Y9g87X1onPiaRAKOj/DA73rCbfP8ATxu29Po4q4u6RKsz5F8XGXt8iIgclVTasmr0C3OGGBdMLMbOzBKcyK9G+uUqpF+uwl+3ZWFIiDeS40MwOz4Yw0J9HGaGGIMPAQA0euNQF4MPEZHTGNDPC7+fNhC/nzYQRTWN2H2mBDszi3H4YiWyimuRVVyL93/OQaS/O5KHhWDGkCCMi/bv08XRDD4EnV6AacBTLu27f5mJiKjzQpXuuD8pGvcnRaO6oRk/ny3FzsxipJwrQ35lI9YeyMXaA7nwUrhg8sBATB/SD9PjgvpcXRCDD0Grb1kBVMYeHyIip+fr4SrOEGto1mL/uTL8dLYU+7LLUF6nxo7MYuzILAYAxIf5YMaQIEyLC8LISF/I7HySDIMPifU9AHt8iIjIkoerC+YkhGJOQij0egGnC2uwJ6sUe7PLcPJKNTILVcgsVOFfe87D39MVUwf3w7S4fpg6uB98PVxt3XwrDD5kEXxY40NERG2RSiUYEeGLERG+ePqmwSivUyMluwx7skux/1wZKuub8e3xAnx7vABSCTCmvx+mxQVhxpAgu9lCg8GHLIa6uI4PERG1V6CXQhwS0+j0OHa5CnuyS7E3qxTnSupw9FIVjl6qwns/5+DEH5Ph7iqzdZMZfKhl1WaZVGIXaZyIiPoeuUyKCbEBmBAbgJVzh+JKVQP2ZpdhX1Yp5DKpXYQegMGHwFWbiYio+0X4eWDxxP5YPLE/7GmtZFaykljjw326iIioJ9jTaAK/6chiqIuIiMiRMfiQWNws54wuIiJycAw+1LJPF9fwISIiB8dvOmopbmaPDxEROTgGH4JeYI0PERE5BwYfgrG2GTI7qronIiLqCQw+BJ0x+TD3EBGRo2PwIQ51ERGR02DwIZgW1JSyy4eIiBwcgw+ZDXUx+BARkWNj8CGzoS4bN4SIiKiH8auOONRFREROg8GHONRFREROg8GHWoa6mHuIiMjBMfiQGHw41EVERI6OwYfElZsZfIiIyNEx+FBLjw//NhARkYPjVx2Jxc3s8SEiIkfH4EPidHZuWUFERI6OwYfEoS5OZyciIkfH4ENmQ102bggREVEPY/ChlqEu9vgQEZGDY/AhDnUREZHTYPAh6AQOdRERkXNg8CFxAUPO6iIiIkfH4EPQcx0fIiJyEnYXfD766CPExMTAzc0NY8aMwS+//NLmufv27YNEIrG6ZWVl9WKL+76WlZsZfIiIyLHZVfDZuHEjnn76abz88ss4fvw4brzxRsydOxd5eXnXvC47OxtFRUXibdCgQb3UYsfQsleXbdtBRETU0+wq+PzjH//Aww8/jEceeQRDhw7Fu+++i8jISKxevfqa1wUFBSEkJES8yWSyNs9Vq9VQqVQWN2fHoS4iInIWdhN8mpubkZ6ejuTkZIvjycnJOHTo0DWvHTVqFEJDQzFz5kzs3bv3mueuWrUKSqVSvEVGRna57X2dONTF4ENERA7OboJPeXk5dDodgoODLY4HBwejuLi41WtCQ0PxySefYNOmTdi8eTPi4uIwc+ZM7N+/v83XWblyJWpqasRbfn5+t/4cfRGHuoiIyFm42LoBV7t6ET1BENpcWC8uLg5xcXHi/aSkJOTn5+Odd97BlClTWr1GoVBAoVB0X4MdAHt8iIjIWdhNj09gYCBkMplV705paalVL9C1TJw4ETk5Od3dPIcm1viwy4eIiByc3QQfV1dXjBkzBrt377Y4vnv3bkyaNKndz3P8+HGEhoZ2d/McGoe6iIjIWdjVUNeKFSuwePFijB07FklJSfjkk0+Ql5eHZcuWATDU5xQUFOCzzz4DALz77ruIjo5GfHw8mpubsWHDBmzatAmbNm2y5Y/R5+g41EVERE7CroLP3XffjYqKCvzpT39CUVEREhISsG3bNvTv3x8AUFRUZLGmT3NzM5599lkUFBTA3d0d8fHx2Lp1K+bNm2erH6FPEozBh1tWEBGRo5MIpm89J6VSqaBUKlFTUwMfHx9bN8cm/r4jCx/tu4AHb4jGa/Pjbd0cIiKi6+rs97fd1PiQ7YiblHKoi4iIHByDD4lDXZzVRUREjo7Bh6Azdvmww4eIiBwdgw9xqIuIiJwGgw9x5WYiInIaDD5kFnxs3BAiIqIexuBDLcGHyYeIiBwcgw9Bpzf8l0NdRETk6Bh8qGU6O3MPERE5OAYf4lAXERE5DQYf4lAXERE5DQYfatmklMGHiIgcHIMPiUNdzD1EROToGHwIOuPKzRzqIiIiR8fgQ2KPj4zFzURE5OAYfIjT2YmIyGkw+JDZ7uxMPkRE5NgYfKhld3Z2+RARkYNj8CHo9RzqIiIi58DgQ2bT2Zl8iIjIsTH4UMtQF4MPERE5OAYfMtury8YNISIi6mH8qqOW4MMeHyIicnAMPgQ9NyklIiInweBD0LHHh4iInASDD7Xszs6/DURE5OD4VUdcuZmIiJwGgw+JwceFKxgSEZGDY/AhaHTG4MOxLiIicnD8piNojdO65OzxISIiB8fgQ9DqTcXNDD5EROTYGHwIWg51ERGRk+A3HUGrMw51ydjjQ0REjo3BhzjURUREToPBh8TgI+dQFxEROTh+0xE0xqEuruNDRESOjsGHxOJm9vgQEZGj4zcdiSs3s8aHiIgcHYOPkxMEARrjAoYunNVFREQOjsGnB32wJwe7z5SgpkFj66a0qaFZB+Pm7PBSuNi2MURERD2M33Q9pFTVhHd2nQMASCTAsFAfTIgJwMRYf0yICYDSQ27jFhrUq7UAAKkEcJfLbNwaIiKinsXg00M0egG/mRCFwxcrcLGsHpmFKmQWqvDpwVwxCCXFBiBpQADGxfjDx802QajOGHw8XV0gkXCoi4iIHJvdDXV99NFHiImJgZubG8aMGYNffvnlmuenpKRgzJgxcHNzQ2xsLNasWdNLLb22cF93/PX24djzh2k48tJMvH/vKPxmQhRi+3lCEIDMQhX+34FcPPyfNIx8Yxdu/eAA3tx6Bj+fLUFNY+8NjdU2GYKPlxszMBEROT67+rbbuHEjnn76aXz00Ue44YYb8PHHH2Pu3Lk4c+YMoqKirM7Pzc3FvHnzsHTpUmzYsAEHDx7E73//e/Tr1w+LFi2ywU/QuiAfN9yaGIZbE8MAACWqJhy+WGG8VSK3vB4nr9Tg5JUa/PsXQ49QfJhhaGxCjD/Gx/jD18O1R9pWWN0IAAj2ceuR5yciIrInEkEwlbba3oQJEzB69GisXr1aPDZ06FAsWLAAq1atsjr/hRdewJYtW3D27Fnx2LJly3DixAmkpqa2+hpqtRpqtVq8r1KpEBkZiZqaGvj4+HTjT9N+RTWN+PViJX7NbQlC5iQSYEiIj1gfNCHGH36e3ROEPtl/AX/dloX5iWH4172juuU5iYiIeppKpYJSqezw97fd9Pg0NzcjPT0dL774osXx5ORkHDp0qNVrUlNTkZycbHFs9uzZWLt2LTQaDeRy67qZVatW4Y033ui+hneDUKU7FowKx4JR4QAMPUK/5lbi8MUK/HqxAhfK6nG2SIWzRSqsO3gJADAkxBsTYvwxMTYA42P8EeCl6NRrnylUAQBiAj275WchIiKyZ3YTfMrLy6HT6RAcHGxxPDg4GMXFxa1eU1xc3Or5Wq0W5eXlCA0Ntbpm5cqVWLFihXjf1ONjT4KvGhorrW3CETEIVSKntA5ZxbXIKq7Ff1IvAwAi/d2RGOGLkZGGW3yYEu6u156lVdOowZ6sUgBAUmxAz/5QREREdsBugo/J1TOLBEG45myj1s5v7biJQqGAQtG53hFbCfJ2wy0jwnDLCEMQKq9T40huJX411ghll9Qiv7IR+ZWN+PFkEQDDKsxxwd4YEuKN/gGeiA70QKS/B/w9XKHW6nGlqgEf7bsAVZMWsYGeGB/jb8sfkYiIqFfYTfAJDAyETCaz6t0pLS216tUxCQkJafV8FxcXBAQ4bg9GoJcC84aHYt5wQ49WTaMGpwtqkJFfLd7KatU4U6TCmSLVNZ/LS+GCf9w9kttVEBGRU7Cb4OPq6ooxY8Zg9+7duP3228Xju3fvxm233dbqNUlJSfjhhx8sju3atQtjx45ttb7HUSnd5bhhYCBuGBgIwNDrVaxqwon8Glwsr8Pl8gbkVtTjSmUDaho1cJPL4OMux9TB/fDbiVEYGORt45+AiIiod9hN8AGAFStWYPHixRg7diySkpLwySefIC8vD8uWLQNgqM8pKCjAZ599BsAwg+uDDz7AihUrsHTpUqSmpmLt2rX48ssvbflj2JxEIkGo0h2hSndbN4WIiMiu2FXwufvuu1FRUYE//elPKCoqQkJCArZt24b+/fsDAIqKipCXlyeeHxMTg23btuGZZ57Bhx9+iLCwMLz//vt2tYYPERER2Q+7WsfHFjq7DgARERHZTme/v+1uywoiIiKinsLgQ0RERE6DwYeIiIicBoMPEREROQ0GHyIiInIaDD5ERETkNBh8iIiIyGkw+BAREZHTYPAhIiIip8HgQ0RERE6DwYeIiIicBoMPEREROQ272p3dFkx7tKpUKhu3hIiIiNrL9L3d0b3WnT741NbWAgAiIyNt3BIiIiLqqNraWiiVynafLxE6GpUcjF6vR2FhIby9vSGRSGzdnDapVCpERkYiPz8fPj4+tm4OtRPft76J71vfxPetb+rs+yYIAmpraxEWFgaptP2VO07f4yOVShEREWHrZrSbj48PP9B9EN+3vonvW9/E961v6sz71pGeHhMWNxMREZHTYPAhIiIip8Hg00coFAq89tprUCgUtm4KdQDft76J71vfxPetb+rt983pi5uJiIjIebDHh4iIiJwGgw8RERE5DQYfIiIichoMPkREROQ0GHx6UXR0NCQSidVt+fLlAAyrUL7++usICwuDu7s7pk2bhszMTIvnUKvVeOKJJxAYGAhPT0/ceuutuHLlisU5VVVVWLx4MZRKJZRKJRYvXozq6ure+jEdzvXetwceeMDqsYkTJ1o8B9+33qXVavHKK68gJiYG7u7uiI2NxZ/+9Cfo9XrxHH7e7E973jd+3uxTbW0tnn76afTv3x/u7u6YNGkSjh49Kj5uV583gXpNaWmpUFRUJN52794tABD27t0rCIIgvPXWW4K3t7ewadMm4dSpU8Ldd98thIaGCiqVSnyOZcuWCeHh4cLu3buFY8eOCdOnTxcSExMFrVYrnjNnzhwhISFBOHTokHDo0CEhISFBuOWWW3r7x3UY13vflixZIsyZM8finIqKCovn4PvWu/7yl78IAQEBwo8//ijk5uYK//vf/wQvLy/h3XffFc/h583+tOd94+fNPt11113CsGHDhJSUFCEnJ0d47bXXBB8fH+HKlSuCINjX543Bx4aeeuopYcCAAYJerxf0er0QEhIivPXWW+LjTU1NglKpFNasWSMIgiBUV1cLcrlc+Oqrr8RzCgoKBKlUKuzYsUMQBEE4c+aMAEA4fPiweE5qaqoAQMjKyuqln8yxmb9vgmD4h/i2225r83y+b73v5ptvFh566CGLYwsXLhR++9vfCoIg8PNmp673vgkCP2/2qKGhQZDJZMKPP/5ocTwxMVF4+eWX7e7zxqEuG2lubsaGDRvw0EMPQSKRIDc3F8XFxUhOThbPUSgUmDp1Kg4dOgQASE9Ph0ajsTgnLCwMCQkJ4jmpqalQKpWYMGGCeM7EiROhVCrFc6jzrn7fTPbt24egoCAMHjwYS5cuRWlpqfgY37feN3nyZPz88884d+4cAODEiRM4cOAA5s2bBwD8vNmp671vJvy82RetVgudTgc3NzeL4+7u7jhw4IDdfd6cfpNSW/nuu+9QXV2NBx54AABQXFwMAAgODrY4Lzg4GJcvXxbPcXV1hZ+fn9U5puuLi4sRFBRk9XpBQUHiOdR5V79vADB37lzceeed6N+/P3Jzc/Hqq69ixowZSE9Ph0Kh4PtmAy+88AJqamowZMgQyGQy6HQ6vPnmm7j33nsB8PNmr673vgH8vNkjb29vJCUl4c9//jOGDh2K4OBgfPnll/j1118xaNAgu/u8MfjYyNq1azF37lyEhYVZHDfvRQAMBWFXH7va1ee0dn57noeur7X37e677xb/nJCQgLFjx6J///7YunUrFi5c2OZz8X3rORs3bsSGDRvwxRdfID4+HhkZGXj66acRFhaGJUuWiOfx82Zf2vO+8fNmnz7//HM89NBDCA8Ph0wmw+jRo/Gb3/wGx44dE8+xl88bh7ps4PLly/jpp5/wyCOPiMdCQkIAwCq1lpaWiik5JCQEzc3NqKqquuY5JSUlVq9ZVlZmlbapY1p731oTGhqK/v37IycnBwDfN1t47rnn8OKLL+Kee+7B8OHDsXjxYjzzzDNYtWoVAH7e7NX13rfW8PNmHwYMGICUlBTU1dUhPz8fR44cgUajQUxMjN193hh8bGDdunUICgrCzTffLB4z/eXYvXu3eKy5uRkpKSmYNGkSAGDMmDGQy+UW5xQVFeH06dPiOUlJSaipqcGRI0fEc3799VfU1NSI51DntPa+taaiogL5+fkIDQ0FwPfNFhoaGiCVWv7zJpPJxGnR/LzZp+u9b63h582+eHp6IjQ0FFVVVdi5cyduu+02+/u8tbsMmrqFTqcToqKihBdeeMHqsbfeektQKpXC5s2bhVOnTgn33ntvq9P9IiIihJ9++kk4duyYMGPGjFan+40YMUJITU0VUlNTheHDh3OaZhe19b7V1tYKf/jDH4RDhw4Jubm5wt69e4WkpCQhPDyc75sNLVmyRAgPDxenRW/evFkIDAwUnn/+efEcft7sz/XeN37e7NeOHTuE7du3CxcvXhR27dolJCYmCuPHjxeam5sFQbCvzxuDTy/buXOnAEDIzs62ekyv1wuvvfaaEBISIigUCmHKlCnCqVOnLM5pbGwUHn/8ccHf319wd3cXbrnlFiEvL8/inIqKCuG+++4TvL29BW9vb+G+++4TqqqqevLHcnhtvW8NDQ1CcnKy0K9fP0EulwtRUVHCkiVLrN4Tvm+9S6VSCU899ZQQFRUluLm5CbGxscLLL78sqNVq8Rx+3uzP9d43ft7s18aNG4XY2FjB1dVVCAkJEZYvXy5UV1eLj9vT500iCILQpX4tIiIioj6CNT5ERETkNBh8iIiIyGkw+BAREZHTYPAhIiIip8HgQ0RERE6DwYeIiIicBoMPEREROQ0GHyIiInIaDD5ERETkNBh8iKhbPfDAA5BIJFa3OXPm2LppvWb48OF45JFHWn3syy+/hFwub3WXaSLqeQw+RNTt5syZg6KiIovbl19+2aOv2dzc3KPP3xEPP/wwvv76azQ0NFg99umnn+KWW25BcHCwDVpGRAw+RNTtFAoFQkJCLG5+fn7i4xKJBP/v//0/3H777fDw8MCgQYOwZcsWi+c4c+YM5s2bBy8vLwQHB2Px4sUoLy8XH582bRoef/xxrFixAoGBgZg1axYAYMuWLRg0aBDc3d0xffp0/Oc//4FEIkF1dTXq6+vh4+ODb775xuK1fvjhB3h6eqK2trbdP+OhQ4cwZcoUuLu7IzIyEk8++STq6+sBAIsXL4Zarcb//vc/i2vy8vKwZ88ePPzww+1+HSLqXgw+RGQTb7zxBu666y6cPHkS8+bNw3333YfKykoAQFFREaZOnYqRI0ciLS0NO3bsQElJCe666y6L5/jPf/4DFxcXHDx4EB9//DEuXbqEO+64AwsWLEBGRgYee+wxvPzyy+L5np6euOeee7Bu3TqL51m3bh3uuOMOeHt7t6vtp06dwuzZs7Fw4UKcPHkSGzduxIEDB/D4448DAAICAnDbbbe1+jrBwcGYO3duh/9/EVE36eQO9ERErVqyZIkgk8kET09Pi9uf/vQn8RwAwiuvvCLer6urEyQSibB9+3ZBEATh1VdfFZKTky2eNz8/XwAgZGdnC4IgCFOnThVGjhxpcc4LL7wgJCQkWBx7+eWXBQBCVVWVIAiC8OuvvwoymUwoKCgQBEEQysrKBLlcLuzbt6/dP+PixYuFRx991OLYL7/8IkilUqGxsVEQBEHYvn27IJFIhAsXLgiCIAh6vV6Ijo4WVq5c2e7XIaLuxx4fIup206dPR0ZGhsVt+fLlFueMGDFC/LOnpye8vb1RWloKAEhPT8fevXvh5eUl3oYMGQIAuHDhgnjd2LFjLZ4zOzsb48aNszg2fvx4q/vx8fH47LPPAACff/45oqKiMGXKlHb/fOnp6Vi/fr1F+2bPng29Xo/c3FwAQHJyMiIiIsRenz179uDSpUt48MEH2/06RNT9XGzdACJyPJ6enhg4cOA1z5HL5Rb3JRIJ9Ho9AECv12P+/Pn429/+ZnVdaGioxeuYEwQBEonE6tjVHnnkEXzwwQd48cUXsW7dOjz44INW112LXq/HY489hieffNLqsaioKACAVCrFAw88gPXr1+ONN97AunXrMGXKFAwaNKjdr0NE3Y/Bh4jszujRo7Fp0yZER0fDxaX9/0wNGTIE27ZtsziWlpZmdd5vf/tbPP/883j//feRmZmJJUuWdLh9mZmZ1w13Dz74IP7yl79g8+bN2Lx5M9asWdOh1yGi7sehLiLqdmq1GsXFxRY38xlZ17N8+XJUVlbi3nvvxZEjR3Dx4kXs2rULDz30EHQ6XZvXPfbYY8jKysILL7yAc+fO4euvv8b69esBwKJHx8/PDwsXLsRzzz0nDkl1xAsvvIDU1FQsX74cGRkZyMnJwZYtW/DEE09YnBcTE4MZM2bg0UcfhVwuxx133NGh1yGi7sfgQ0TdbseOHQgNDbW4TZ48ud3Xh4WF4eDBg9DpdJg9ezYSEhLw1FNPQalUQipt+5+tmJgYfPPNN9i8eTNGjBiB1atXi7O6FAqFxbkPP/wwmpub8dBDD1k9z7Rp0/DAAw+0+TojRoxASkoKcnJycOONN2LUqFF49dVXLYbhzF+nqqoK99xzDzw8PNr5f4CIeopEaG0AnIjIQbz55ptYs2YN8vPzLY7/97//xVNPPYXCwkK4urpaPBYdHY3XX3/9muGHiPom1vgQkUP56KOPMG7cOAQEBODgwYN4++23xfV1AKChoQG5ublYtWoVHnvsMavQk5WVBW9vb9x///293XQi6gXs8SEih/LMM89g48aNqKysRFRUFBYvXoyVK1eKRdKvv/463nzzTUyZMgXff/89vLy8bNxiIupNDD5ERETkNFjcTERERE6DwYeIiIicBoMPEREROQ0GHyIiInIaDD5ERETkNBh8iIiIyGkw+BAREZHTYPAhIiIip/H/AbEO8T/da6gsAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(data.energy, data.mu, label='mu')\n", "plt.xlabel(\"Energy, eV\")\n", "plt.ylabel(\"$\\mu(E)$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can try the mback algorithm to correct the spectrum." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "mback(data.energy, data.mu, group=data, z=26, edge='K', order=3, leexiang=False, fit_erfc=False, \n", " pre1 = -100,\n", " pre2 = -20,\n", " norm1 = 50,\n", " norm2= 2000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and we plot the result" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Normalised $\\\\mu(E)$')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(data.energy, data.norm, label='Iron foil')\n", "plt.xlabel(\"Energy, eV\")\n", "plt.ylabel(\"Normalised $\\mu(E)$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also normalize things with the preedge() function:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "pre_edge(data.energy,data.mu,group=data, # energy, intensity, and the group to treat\n", " pre1 = -100, # the lower bond of the function to fit the pre-edge\n", " pre2 = -20, # the upper bond of the function to fit the pre-edge\n", " norm1 = 50, # the lower bond of the function to fit the post-edge\n", " norm2= 2000, # the upper bond of the function to fit the post-edge\n", " nnorm= 2, # degree for the polynomials\n", " nvict= 4 # energy exponent to use for pre-edge fit.\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can make a nice figure:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,4))\n", "plt.subplot(1,2,1)\n", "plt.plot(data.energy,data.mu,\"k-\")\n", "plt.plot(data.energy,data.pre_edge,\"b--\")\n", "plt.plot(data.energy,data.post_edge,\"g--\")\n", "plt.xlabel(\"Energy, eV\")\n", "plt.ylabel(\"$\\mu(E)$\")\n", "\n", "plt.subplot(1,2,2)\n", "plt.plot(data.energy,data.flat,\"k-\")\n", "plt.xlabel(\"Energy, eV\")\n", "plt.ylabel(\"$\\mu(E)$ normed flat\")\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Application to the Fe K-edge XANES spectrum of a molten lava (Phonolite)\n", "\n", "The goal is to treat the Fe K-edge XANES spectrum and fit its pre-edge to link its centroid/position/parameters to the environment and valence of Fe in the glass/mineral/melt. \n", "\n", "We will perform that on data from C. Le Losq, R. Moretti, C. Oppenheimer, F. Baudelet, D.R. Neuville, Contrib Mineral Petrol 175 (2020) 64.\n", "\n", "The spectrum was acquired during in situ experiments on the ODE beamline of the SOLEIL synchrotron, in dispersive mode. It is a Fe K-edge XANES spectrum acquired on a phonolite lava at 1630 °C in air." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Fe K-edge XANES spectrum of phonolite melt, 1630 °C')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We import the data\n", "data = read_ascii('../xafsdata/EMG003.txt', labels=('energy', 'mu'))\n", "\n", "# First vizualisation\n", "plt.figure()\n", "plt.plot(data.energy, data.mu, label='mu')\n", "plt.xlabel(\"Energy, keV\")\n", "plt.ylabel(\"$\\mu(E)$\")\n", "plt.title(\"Fe K-edge XANES spectrum of phonolite melt, 1630 °C\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we normalize the spectra and look at the result" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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JT0+nbNmyJCQksGPHDlq0aFEg5129ejU9evTA19eXkydP4uXlVSDnFSlI2b3fqaVC8oVtQr7rk4QugV346qGveLrl0zSq2AgLFo6eP8rC3Qt54n9P8PuJ3+3bRl2MYm/0XtKNm89cGhoaCuRv16frNWzYkHvuuYfk5GQ6d+5s/2ZMRETMExYWRkJCAh4eHjRu3LjAznv33XcTEBBATEwMb7/9doGdt6hJTk62/2wYBiEhIezZs8ehKlGKBmpLAfIp4cPDDR7m4QYPA3Dh6gU2h21mU9gmNp7aSPtq7e3bfvH3Fzwf/DzlipejXbV29sHfTSo1yVD6dvfu3QAF9hCxWCz897//pX79+oSFhTFlyhR+//33W+8oIiL5Zu/evQDUqVOnQItouLu789xzzzF27FimTZvGHXfcwaBBgwrs/M7OlhRYLBZ++uknXn75ZdLT02nYsCFRUVEkJiYSFRXF6dOnqVGjBm5ubkRHRxMXFwdYxzu2bNkSHx8f3N3d8fHxoVOnTnTs2NHMj1VkKakQ05QpVoZetXvRq3bmqk0JSQmUcC/B+Svn+fHQj/x4yFo2toR7CVpXbc3iBxbjV8qvwFsqAOrVq8eff/5JixYtWLduHWfOnMHPz6/Azi8iIhnt27cPgKCgoAI/95gxY/jjjz/46quvmDp1Kg8//DDFi+d/5UNnt3PnTgYPHkxiYiINGjRg9erV9vdsSeL1jh07luG1u7s7p06d4tSpU5m2HTp0KBUrVqREiRJ0796d2rVrc/bsWapXr87Vq1eJiorK93GYRZGSCnFI0zpPY0qHKYRGhbLx1EY2hW1i06lNxF2N44+wPyhfojyRkZGcO3cOS2sLX8Z8SfThaNpWa0uZYmXyPb7mzZvToUMHNm7cyPvvv8+7776b7+cUEZGs2f4IbdCgQYGf28XFhQULFrB582ZOnDjB22+/zauvvlrgcTiqhIQENm7cSJUqVShZsiQbN24kJCSE+fPnk5qaCkB4eDgAo0aNolatWvz444/UqFGDc+fOERcXx9SpU+3bubi40K1bN7y9vfnpp5/Yvn07xYoV48qVK2zfvp2tW7eycOFC+/mnTJli/7ls2bKkpaWRkJBA3759adu2LW5ubhiGgaenJ02aNCEoKEhjY26TBmrnkAbnmSfdSGf/uf0cjj1M33p9+eWXX/jXv/6F57OeJJVJAsCChYYVG9IhoAPtq7WnfUB7KpWslC/xfPvttzz00EO4u7vzyy+/5NtkSyJmcYb73caNG3nnnXcICQkhMjKS77//ngceeOCm+2zYsIHx48ezb98+qlSpwgsvvMCoUaNydF5nuDZFSdOmTQkNDeWHH37g/vvvNyWGr776iv79++Pp6UloaCj16tUzJQ5H8sMPP/DYY49x+fLlLN9/6KGHaNKkCcHBwQwfPpzHHnss1+fcsGEDS5YswcXFhePHj7N582aSkpKyvX/lypX5+uuvOXPmDGvXriUwMJBevXqRmppK1apV8fX1zXWMzia79zslFTmkB4njeP3113n55ZdpPao19brXY1PYJo6cP5Jhm+plqnPimRP219GXoilfonyGGcFvV3p6OgMGDGDFihVUrVqVEydO5HttdJGC5Az3u1WrVrF582aaNm3Kgw8+eMuk4sSJEwQFBTFixAhGjhzJ5s2bGT16NMuXL+fBBx/M9nmd4doUFWlpaXh5eZGUlMTRo0e54447TInDMAy6devGb7/9xsiRI5k7d64pcTiCtLQ0pk6dyuuvv45hGJQsWZKLFy/i5uZG+/btady4MZ06deK+++7Lk+fxrWKxTYo4f/58rl69SuPGjVm6dCmfffYZAB4eHjRt2pTt27ffcvB3zZo1GTVqFKNHjy4y3dyUVOQTPUgcx0MPPcS3337Lu+++y3PPPQdAZGKkvavUxrCNNK3clEX3LwIgLT0Nn7d9KOlR0t6S0a5aOxpUaICL5fYKoV26dIlq1apx/vx55s2bx/Dhw/Ps84mYzdnudxaL5ZZJxcSJE/nxxx85cOCAfd2oUaP466+/clSW2tmuTWF2+PBh6tSpQ/Hixbl48SIuLuYVtly/fj2dO3fG3d2dv/76q0i1Vly9epW5c+fy1VdfsWvXLnvrwKhRo/jwww9JTEzEzc3NoWYfP378ONu2baNPnz4UL16cyMhInnzySVatWoWfnx+tWrXi+PHjHDhwABcXFxITE+37li5dmk6dOlGpUiUCAwN55plnCm2SoaQin+hB4jhq1qzJsWPH+O2337j77ruz3CbdSLcnDEdij1B/dn1S01MzbFOmWBna+rdlYMOB9A/qn+M4PvjgA8aNG0elSpU4cuQIJUuWzPmHEXFAzna/y05S0aFDB5o0acKsWbPs677//nv69evH5cuXs105yNmuTWH2/fff07dvX5o1a8bOnTvNDod//etf/PLLL7Rt25bffvuNYsWKmR1SvkpJSeHTTz/ltdde49y5c/b1Xl5efPrppwwYMMDE6G5Penp6lsnp+fPnWbRoER999BEnT57M8J6vry8VK1bE1dWVevXq0b17d7p06UK1atW4fPkyiYmJVKhQId9bZvKD5qmQQi0+Pt5eCeJm5WSvb4Go5VOL+EnxrB20lqkdp3J34N2UcC/BhasX+OXIL+w/t9++bezlWF78/UVWHlnJhasXbhrL6NGjueOOO4iKimL69Om5+lwikr+ioqKoWLFihnUVK1YkNTWVmJiYG+6XlJREQkJChkUcg5mDtLPy0Ucf4eXlxebNm5k0aZLZ4eSbS5cusXr1aho2bMhTTz3FuXPnqFatGrNmzeL333/nxIkTTplQADds7SpXrhzPPfccR48eZfv27cycOZNnn32WcuXKERMTw759+/j7779ZsWIFTzzxBAEBAZQtWxYvLy8qVarEzJkzC/iTFCx1ABentGfPHgD8/f3x8fHJ9n4l3EvQObAznQM7A5CSlsJfZ//ij7A/6FS9k327P8L+YMYfMwDr4O+gCkH27lLtqrXD39vfvq2HhwdvvfUWDz30EPPnz+ell15yqOZdEcnon98UXl8r/0ZmzJjBa6+9lq9xye0xs5xsVqpXr878+fN59NFHWbRoEdOmTStUrVm7d+9mzJgxGSZ/rVChAq+++iojRowo0HlCzOLq6krLli1p2bIlAC+++CLff/89JUuWpESJEuzatYuvv/6agwcPcuHCBft+EyZMsA/it3Wfrl+/Ph06dDDpk+QtdX/KITV5O4Yvv/ySRx99lI4dO7J+/fo8P/6OMzuYu3Muf4T9kWnwN8Cyvst49M5HAUhKTcJiWGhQvwFHjx7l9ddf58UXX8zzmEQKmrPd7/Kz+1NSUlKGCjIJCQn4+/s7zbUpzIKCgti3bx8rV66kR48eZocDWLvP1KpVi+PHj/Ptt9/St29fs0PKE2vWrOHBBx/k0qVLgLWVr0+fPkyZMoUqVaqYHJ3jOXHiBMHBwVgsFhYtWnTDcVtDhgzhgQce4NKlSwQEBBAUFIS3t3cBR3tj2X0WqKVCnJKtL2N+3cRa+rWkpZ/1G4izF8+yOXwzm05t4o/wPwiNDKWFXwv7tnN2zmHahmkEjAiAH2Haomn07deXujXr5ktsInL7WrduzU8//ZRh3a+//krz5s1v+g2rp6cnnp6e+R2e5FBycjKHDh0CHKf7E1i7z/Tp04f33nuPr7/+2mmTioSEBN566y22b9/O5cuX2bFjB2lpadxzzz0sXLgQf3//Wx+kCAsMDOTJJ58EYMCAAfTq1YuDBw/SsmVLUlJS+OOPP7h48SKLFy9m8eLFGfa1zZtRr149YmJi8PLyolixYrRp04aWLVtStmxZfH19SUlJYfXq1bRp08b0/x9KKsQp2QbjFcRM2hVLVqRvvb70rWd9KFxMvoiX+7WJcbad3kbc1TjiiIOukEQS9ZfUp12gtavU822ep2zxsvkep0hRdPHiRY4ePWp/feLECXbv3k25cuWoVq0akydP5syZMyxZsgSwVqL56KOPGD9+PCNGjGDr1q0sWLCA5cuXm/URJBeOHDlCamoqpUqVMv0Pqn/q2bMn7733Hl9++SVnz55l5syZNx0D6EhSUlLsE7teP/gaYNCgQcybNw8PDw+TonNOXl5eWfaseOWVV/juu+8oXrw4rq6uHDp0iAsXLpCUlMS2bdvYtm1bhu2vTz7c3NzsEwiC9f9Nw4YNCQsL4+zZs7Rt25ZHHnmE8uXL59fHysCpuz+ZMemRs3UHKKwaN27MX3/95RDN3SlpKeyO2s0fYX+w5uAa1hxYA/+fc7i7uHNh0gVKuJcA4Nv935KSnkK7au2oWrqqiVGL3Joz3O9sJTz/afDgwSxevJghQ4Zw8uTJDA/zDRs2MG7cOPtzYOLEiZr8zkmtWLGCRx55hFatWuWoJHBBSE1NpWbNmpw6dQqAgIAAjh07hqurq8mR3VhsbCyff/45CxYssA+Ar1mzJuPGjcPX15c6derQqFEjk6Ms3AzDIDIyksTERDZv3kx4eDhxcXF4e3tz/vx51qxZQ3h4OFevXs3W8cqXL8/Bgwftg+dHjx6d4yqVRaL706VLl2jUqBFPPPFEtiYtOnHiBD179mTEiBF88cUX9kmPypcvn6NJj8RchmEQHh4OgJ+fn8nRgLurOy38WtDCrwXjWo9j0OBBfP7L53QZ0oVO93WyJxQAb/zxBrsidwHWifnaVWtHO39ri0a98vVue74MkaKqU6dON52s6p9dCgA6duzIrl278jEqKSiONkj7em5ubnz99de8+uqrrFq1ilOnTrFs2TIGDhxodmiZ7N+/n+TkZPr378/hw4cBa6Wjd999l8cee0ytEgXIYrHYu3bXqVPnhtsZhsHff//NmTNn6NSpEz/99BNr1qwhLi6OihUrkpiYyLJlyzh37lyGgjbLly9n165d+VPa1igkAOP777+/6TYvvPCCUbdu3QzrRo4cabRq1Srb54mPjzcAIz4+/nbClDwQHh5uAIarq6tx5coVs8PJ5IcffjAAo3LlykZ6erp9fXp6ujF+9Xij2SfNDJfXXAymkmFpOKdhhuOkpacVdOgiGeh+d2O6No5h8ODBBmDMmDHD7FBuasaMGQZgVKtWzWGeW+np6caXX35ptG7d2gDsi4+Pj/Hmm28aZ8+eNTtEyaU5c+Zk+H8LGPPmzcvxcbJ7vytSX4tu3bqVbt26ZVh37733snPnTlJSUrLcR7XJHc/BgwcBqFWrlkNOKtS9e3c8PDyIjIxk9uzZ9iZKi8XCe/e+x84nd3Jh4gV+ffxXpnSYQufqnSnuVpz65evbj5FupBPwQQAdF3fk5bUvs/roahKS9LsnInK9qKgogExzjziaZ555hipVqhAWFpZl61lBS0tL49lnn+WRRx7J0G2sUqVK/Pjjj0ycOJEKFSqYGKHkhccff5zAwEAsFguff/45ly9fZujQofl2Pqfu/pRTt5r0qHLlypn2UW1yxxMdHQ2Q5f8vR+Dp6UnPnj354YcfeOqpp/j888/ZuHFjhubjUp6l6HpHV7re0RWwjsu4fpK9QzGHOJ1wmtMJp9l4aiNgncivYcWGtPNvR996fe1zbYiIFFUHDhwAoEaNGiZHcnPFixdnyJAhvPHGGzzzzDN07NiRevXqmRLL3r176du3L0eOWMuljxs3joEDB9KgQQPc3d2dcsZnyVrJkiXZs2cPsbGxVKtWLd/PV6RaKiDnkx5NnjyZ+Ph4+2Lryy/mOX36NGD9RsVRTZs2zV5tYfv27Xz99dc33d7d1Z3yXteqM9T1rcvBMQeZd988BjcazB1l7yDdSGd31G4++vMjgo8H27eNvxrPpyGfsi96H+lGev58IBERB5OQkEBYWBiAUwwenjp1KnfffTfJycm88847psSwfft22rdvz5EjRyhTpgyLFy9m5syZNGnSBA8PDyUUhZCXl1eBJBRQxFoqKlWqZG8qtYmOjsbNze2GszKrNrnjsX0zVbeu484DceeddxIREcHrr7/O1KlTmTFjBo8++iguLtnL4y0WC3V861DHtw7Dmw4HICIxgs1hm/kj7A961upp33Zz+GZG/jwSgLLFytLGvw1t/dvStlpbWlRpQXH34nn/AUVETBYREQGAt7c3ZcqUMTeYbHB3d2fatGn8/vvvLF68mF69ehVokZg9e/bQu3dvLly4QJs2bfjpp58oV65cgZ1fCr8i1VLRunVrgoODM6zLzqRH4liOHz8OQO3atU2O5Obc3Nx45pln8Pb2Zt++fbdsrbiVKqWq8HCDh5nVYxbtqrWzr3d3cadT9U4UdytO3NU4fjnyCy+ufZGOizvi/aY33x/43r6t4bwVpEVEMrC1UjjTTM5t2rThySefxDAMHnrooQJpsTAMg0mTJtG0aVOio6Np2LAhq1atUkIhec6pk4qLFy+ye/dudu/eDVyb9Mh2o5k8eTKDBg2ybz9q1ChOnTrF+PHjOXDgAAsXLmTBggVMmDDBjPDlNsXExAA4xSCyMmXK8PTTTwPw3nvv3bAgQG50vaMr6wavI35SPDuG7+D9e9/nwXoPUqlkJVLSU6jje60k3ew/Z1Prw1oM+WEI83fN58C5A0o0RMQp2crJ1q9f/xZbOpb//ve/DB9ubYF+4YUXmD59er6e77333uOtt94iNTWVdu3asWbNGs2tIvnjNipUOYx169ZlKpUFGIMHDzYMw1pqrmPHjhn2Wb9+vdGkSRPDw8PDqF69ujFnzpwcnVNlBM3n4+NjAMZff/1ldijZcvToUaNEiRIGYEybNq3Azpuenm4cO38sQ2naR755JFMp23JvlTP+texfxpub3jTirsQVWHzi+HS/uzFdG/ONGTPGAIwXX3zR7FByLD093Zg6daoBGBaLxdi1a1e+nGPNmjWGp6enARizZs3K83NI0ZDd+51Tz6htBs2iaq7Y2Fh8fX0Ba0uVl5eXyRFlz5IlSxg8eDDly5cnLCzMtFK4cVfi2Hp6K5vDNrM5fDM7zuzgSuoVwFpd6sLEC5TyLAXAz4d/JjU9lbb+bTMMIs+uiIgI/v77b6pWrZppYqpDhw4REhJC37598fDwYMOGDVy+fJl77rlHY5gciO53N6ZrY75HHnmEFStW8MEHH/DMM8+YHU6OGYZB7969+fnnnylbtiyLFy+md+/eeXLsI0eOMGbMGHuX77vvvpvg4GANxJbbUiRm1Jai59ChQwD4+/s7TUIB8Oijj/LSSy9x+vRppk6dyptvvmlKHGWLl6VnrZ72gd4paSmERoWyOWwzZxLP2BMKgOkbp7P9zHYAavvUtg7+/v8B4HV86mR4OBmGwcWLF3Fzc+PSpUvMmjWLd9991z5HR4sWLfDz86NUqVJER0fz66+/YhgGNWvWxDAMjh07BljLBHfp0gU/Pz9Gjx5NZGQkDRo0oFSpa3GJiMC1OSpslfacjcVi4dNPP6V169acOnWKfv36ceLEiVyXS1+yZAmjRo3iypUreHh40KdPH/773/8qoZB8p5aKHNK3U+ZatGgRQ4cO5Z577sk06N7Rfffdd/ZKH//5z394+eWXTY7oxgzDYOyqsaw7uY595/Zlej+oQhDbBm1j9erVrF69mt/X/c6JYycybVehQgX7vCI3U7x4cTw9Pblw4UKm90qWLMmDDz5InTp1qFq1Ku7u7vTp00ctGgVA97sb07Uxn5+fHxEREWzfvp2WLVuaHc5tu3TpEq1atWLv3r088sgjlC1bljZt2vD444/n6DjJycl88MEHTJw4EbC2TsyZM4datWrlR9hShKilQgqlw4cPA1CnTp1bbOl4+vbty9SpU5k6dSpTpkyhcuXKDBs2zOywsmSxWPiw54cAnL9ynq3hW/n2z2/5X+j/OF/8PCd3nqTi8xW5dOmSdYdngQQgHAiDO8vcyavPv0qfPn3Yu3cvK1eupFixYiQnJ+Pq6krv3r3x9PTknXfeoWTJkjz33HN4eHgwefJkoqOj2bFjh73gwsWLF/nss88yxOfn58cLL7zAiBEjKF5cJXNFiporV67YS8rWrFnT5Ghyx8vLi1dffZWHH36YL7/8EoC5c+cSFRVF3759bzqx3+bNm5k+fTpnz57l8OHD9nvy6NGj+fDDD7NdxlwkL6ilIof07ZS5hg0bxsKFC3n99dd58cUXzQ7ntrzwwgu88847uLi4sHv3bu68806zQ8pgz549/O9//+O3334jNDSUoKAgfHx8+OWXX0hPTwdXoBhwyfrH/d0P382SMksyHaeOTx3a+rflwfoPZphXIzuuXLnCtm3buPPOO9mzZw8///wz69atIy0tjYiICHsFMLCWFn7wwQfp3r07HTp0yOWnl+vpfndjujbmCg8Pp1q1ari7u5OUlOT0XXvS09Np2bIlISEhmd5r3bo1y5cvJyAggNDQUCZNmkRycjJ33303b731FhcvXrRvW6VKFZ566ileeOEFXF1dC/IjSCGW3fudkooc0oPEXH369OGHH35g9uzZ/Pvf/zY7nNtiGAb33nsvwcHBdOzYkbVr1xb4t0mGYXD69Gk2btyIl5cXJUqUYNKkSURFRREZGXnD/QYMGMCYMWNITk7G29ubBg0a4O7uzrG4Y/bB35vDN7P/3H77PhNaT+CdbtZa7IlJiczdOZe21drSrHIzPN1y3oUpKSmJjz76iLfffjtT1ypbK5C+ncsbut/dmK6Nuf7++28aNWpEhQoVOHv2rNnh5ImYmBhCQkJo06YNS5YsYenSpWzduhWAXr16MXnyZHr16kV8fHyG/e68804mTpxIxYoV6dixo+bdkjynpCKf6EFirtatW7Nt2za++eabAp2JNK8dPXqUoKAgkpKS6NKlCytXriyQMQJXrlwhODiYKVOm8Pfff2e5jbu7Oz179qRjx460bt2aI0eOcObMGTp16kSrVq2ydZ7zV86zJXwLm8M207NWT9oHtAcg+Fgw3b7oBoCnqyfNqzS3D/5u498G3xK+2f4shmFw5swZ1q9fz+LFi/n9998BqFatGg0aNGD06NH06tXL6b/BNJPudzema2OulStX0qtXLxo2bMhff/1ldjj5ZvPmzXTs2JG0tDT7uqCgIO6//35Wr16Nt7c3CxYsoHr16uYFKYVetu93+VLQthBTbXJzVahQwQCMkJAQs0PJtaVLlxrFixcvsPrhX331lVGpUiX7fC6urq728wNG165djU2bNhmxsbH5FsPmsM3GA18+YJR/u3ym+TKYirFk9xL7tsmpyUZ6enq2jz1v3jx7PXbbUrNmTWPIkCHGp59+aqSmpuboeKL73c3o2phr1qxZBmA8+OCDZoeS71544QX7Pa1bt27GxYsXzQ5Jipjs3u/UR0CcxpUrV+zdXQIDA02OJvcGDBjA66+/DsDs2bM5ePCgfXByXoqIiGDEiBH069ePqKgofHx8eOKJJ4iMjOTy5ctcvXqVsLAw1qxZQ7t27ShXrlyex2DTxr8N3/f/nrMTznLoqUMs7L2QYU2GUde3LgANKza0b7to9yLKv1Oe3st78+Yfb7Lx1EYup1y+4bGHDx9OREQE69evZ9SoUXh4eHD06FEWL17Mk08+iZ+fn31Q+PXf+omI8zl69Cjg/IO0s+M///kPH3/8MUuWLOGXX35xqnLqUrSo+1MOqcnbPKdPn8bf3x83NzeSk5MLRbeWhIQEqlevTlxcHADFihXj999/p02bNrk+dmpqKiNHjmThwoX2dRMmTOA///mPaZPv3UzM5RjKFiuLq4t1cOHQ/w1l0e5FGbZxc3GjSaUmtPFvw+R2k6lYsuINj3fu3Dl++ukndu/ezdy5c0lJSbG/FxAQQN26dRk0aBANGjSgYcOGheL3Ka/pfndjujbm6tmzJ6tWrWLevHkMHz7c7HBECjWNqcgnepCYZ+/evdx55534+vpy7tw5s8PJM9OnT2fKlCn21+XLl+c///kPgwYNuu1yqceOHWPy5Ml8/fXXWCwWGjRowGuvvUbfvn3zKux8l5yWTGhkKFvCt7Dl9Ba2hG8hItFaQtKChfMTz1OmWBkAlu9ZzrnL52jr35aGFRvi7ppxoOKJEyf4/fffOXz4MHPmzMlQLQWgYcOGDBs2jH//+98a5Hgd3e9uTNfGXHXq1OHw4cOsXbuWzp07mx2OSKGmpCKf6EFinrVr13L33XdTt25dDhw4YHY4eSY1NZWVK1dSqlQpnn76afbts042V6NGDT7//PNst1pcvXqVpUuX8sknn/Dnn3/a13/55Zf0798/X2IvSIZhEBYfxpbwLRyLO8bLHa5NHthhUQc2hW0CoIR7CVr6taRN1Ta08W9Da//WlCt+rUtXbGwskyZNYv78+ZnOMXDgQGbMmEFKSgq+vr6ULFky/z+YA9P97sZ0bczl6+tLbGws+/bto379+maHI1KoKanIJ3qQmOezzz5jyJAhdO3alV9//dXscPJFcnIyH3/8Me+88w6RkZH4+flx7Ngxrl69yvTp0wEYOnQoFSpU4P333yctLY26deuSnJzMm2++yfHjxwFwdXWlVq1aPP/88wwdOtTMj1Qg3tvyHmtPrmVL+BYuXL2Q4T3fEr5ET4i2d2+KSIygoldF9u/bT7Vq1UhKSmLu3Lm8+uqrGfYrWbIkEyZM4JFHHuGOO+7Aza3ozRWq+92N6dqYxzAM3N3dSUtL48yZM1SpUsXskEQKNSUV+UQPEvPYugkNHTqUBQsWmB1Ovjp//jx16tQhJiaGTp06cfLkSU6ePAmAm5sbrq6uJCUlZdrP29ubl156icGDB1OhQoUCjtp86UY6B2MOWrtM/f9Sx7cO/3vkf4D1j5Gq71flSsoVWvu3trdmtPRrycr/rWT69On8/fffuLm5kZqaaj9u2bJlGTVqFKNHj6Zq1apmfbwCp/vdjenamCcuLs5eUOLy5cu33U1URLInu/e7ovfVmzit8PBwAPz9/U2OJP+VK1eOd955hyeeeIL169cD1uZ+Hx8fDh06RGpqKqVKlaJr164cPXqUSpUq0aBBA5599lmqVatmbvAmcrG4UL98feqXr8/wptbBmylp1wZon7t8jrgrcVxJvcLKIytZeWQlAK4WVxpVasTguYN5qtlTuLm58e233zJz5kxCQ0OJi4tjxowZfPzxx8yfP5+HHnpIA7tFTGKrkle+fHklFCIOREmFOA3bg6QoJBUAgwYNIiQkhNWrV3Pfffcxbdo0vLy8WLNmDdu2bePxxx8vEuUUc+v6QdsVvCoQPymev87+laE1IzwhnF2Ru2hfrT0eHh4A9HqgF99YvuGhKg+RciyFz9/5nP179tOvXz+aNGnCgAED6NixIy1atDDro4kUSbZnQVH+AkXEESmpEKdRlFoqAFxcXPjwww8zre/evTvdu3c3IaLCwd3VneZVmtO8SnPG3jUWgPD4cLae3krNcteStD/P/MlX+77iq31fAVCsfzGq9a3GmW1nCD0ZSugroXAFXnnlFaZOnaqWC5ECcvbsWQAqV65sciQicj1NfidOo6glFVJw/L396degH00rN7WvCygTwBtd3uBftf9FueLluJp6lTBLGGmt0+BRCOgdAMC0adOoFFiJ1ve35qOPPyIxMdGsjyFSJMTHxwNQpkwZcwMRkQzUUiFOISEhgYSEBEBJhRSM6mWqM7n9ZMA6wPtw7OFrXaZOb+GzEZ+xte1Wxo4dS3TZaKKbRrPt9DbGjx1Pu+rtGNtnLHfXuZtSnqVM/iQihcuFCxcAa2EKEXEcSirEKdhaKcqUKVPk5w6QgmexWKjjW4c6vnV4oskT9vXNn27Oww8/zIs/v8jSM0tJLpZMSvUU1rGOdd+vg3QofaU0b7R4gzEPjzHxE4gUHlFRUQBUrFjR5EhE5Hrq/iROwZZUaGCeOJpKlSqxcPhCLk25xI5hO3jc53FKHCsBFwAXSPBK4Pl/P2/vB/7elvd44MsHeOuPt9h4aiOXUy6bGr+Is4mIiADQ/BQiDkYtFeIUNJ5CHJ2bixstqrbg86c+Z0HyAr788kt++P0Hvt/6PVdir1C9enVeffVVvvT4kr8S/+J/h/5n369xpca0rtqa1lVb81D9hzJUrBKRjM6cOQOAn5+fyZGIyPXUUiFOQUmFOBMPDw8GDRrEd599x+6vdwNw9epVJk+ezF8z/8JtrRt+8X6UL1ae1PRUdkbs5MMdHzJ65WhcXVztx/n58M9sDtvM1dSrJn0SEcdjSyrUUiHiWNRSIU6hqM1RIYVHo0aN2LFjB++88w7R0dEcOHCA6I3RnNl4hkqVK7FswTKSyicRei4Ui8WCi+Xadz1Pr3qakxdO4u7iTpPKTeytGW382+DvrX8LUvQkJSURExMDqKVCxNEoqRCnoJYKcWYtWrTgq6+s811cvXqVb775hpdeeomwsDAG9BwAQKtWrejVqxfnmp2jfPnyJKUm0bhSY66kXOHspbPsOLODHWd2MGv7LADuveNeVj++2n6O1PRU3Fx0S5fCLTIyEgBPT0/KlStncjQicj09gcQp2Jq7q1atanIkIrlTrFgxHn/8cTp16sRTTz3Fhg0buHDhAtu2bWPbtm1MmTKFDh068Pzzz7Ok5xK8vLw4GX+SreFb2XrauvwV9Rc1ytawH/Nq6lUqvFOBoApB1tYMf2trRpVS6h4ihcv1g7Q14aSIY1FSIU7BNtlR2bJlTY5EJG9UrVqVH374AbAmzV9++SWffvophw8fZuPGjWzcuBGAOnXq0KlTJ3r06MFH938EwKXkS1xKuWQ/VmhkKInJifakg23W9dW8q9G6amsGNRpEz1o9C/TzieQHDdIWcVwaqC1OwTZLcenSpU2ORCTv+fn58dxzz3Ho0CFOnz7NhAkTqFChAgCHDh3ik08+4YEHHqBZs2ZMnTqVg3sO4lvc175/q6qtOPL0EZY8sIR/N/83jSo2wsXiQlh8GCv2rWD/uf1mfTSRPKVB2iKOSy0V4vBSU1O5dMn6rWypUpqdWAo3Pz8/3nnnHd5++20iIiLYsGEDGzZsYNGiRezatYtdu3bx2muvERAQgIuLC4GBgXz22WfUrFqTmuVqMrDRQAASkxL5M+JPtoZvpUfNHiZ/KpG8Yev+pJYKEcejpEIcnm3SMFdXVw3MkyLDYrHg5+fHgAEDGDBgAFOmTGHFihVs2LCBn376iVOnTgFw4sQJ6tSpw5NPPkmHDh2oVKkSjRs3plTxUnQJ7EKXwC4mfxKRvKOWChHHpe5P4vCuf4i4urreYmuRwqlq1ao899xz/Pjjj4SHhzNr1ixmzZpF7dq1uXz5Mh988AF9+/alTZs21KhRg48++oj09HSzwxbJU2qpEHFcTp9UzJ49m8DAQIoVK0azZs3YtGnTTbdfunQpjRo1okSJElSuXJknnniC2NjYAopWbocG5olkVLVqVcaOHcvYsWPZs2cP33//PY8//jj16tXD1dWVqKgonn76aebPn49hGPYxSSLOTi0VIo7LqZOKFStW8Oyzz/LSSy8RGhpK+/bt6dGjh32itH/6448/GDRoEMOGDWPfvn18/fXX/PnnnwwfPryAI5ecOH/+PAC+vr632FKk6PHw8OCBBx7g888/Z//+/Zw/f57HHnsMgJEjR3LXXXdRunRpnnnmGVJSUkyOVuT2GYahL5lEHJhTJxUzZ85k2LBhDB8+nHr16vHBBx/g7+/PnDlzstx+27ZtVK9enbFjxxIYGEi7du0YOXIkO3fuLODIJSds5WRV+Unk1kqXLs2sWbMoVqwYAH/++ScACxYs4MSJE2aGJpIrCQkJXL58GVBLhYgjctqkIjk5mZCQELp165Zhfbdu3diyZUuW+7Rp04bTp0+zcuVKDMPg7NmzfPPNN/Tq1asgQpbbdOHCBQDKlCljahwizsLHx4fx48cD0KtXL+bNm8eSJUuoXbu2yZHlH3WFLfxss2l7e3tTokQJk6MRkX9y2qQiJiaGtLQ0KlasmGF9xYoViYqKynKfNm3asHTpUvr374+HhweVKlWiTJkyfPjhhzc8T1JSEgkJCRkWKVi2gXmVK1c2ORIR5/H6668TFRXFTz/9xPDhw+nbt6/ZIeUbdYUtGmzPX33BJOKYnDapsLFYLBleG4aRaZ3N/v37GTt2LK+88gohISGsXr2aEydOMGrUqBsef8aMGXh7e9sXf3//PI1fbu306dOA+tCK5FTFihVveD8sTNQVtmi4ePEiACVLljQ5EhHJitMmFb6+vvYqJ9eLjo7O1HphM2PGDNq2bcvzzz9Pw4YNuffee5k9ezYLFy60N6v+0+TJk4mPj7cv4eHhef5Z5OZsA/OqVq1qciQi4mgKqiusWq3NZ6tipklQRRyT0yYVHh4eNGvWjODg4Azrg4ODadOmTZb7XL58GReXjB/ZNu+BYRhZ7uPp6Unp0qUzLFKw1FIhIjdSUF1h1WptvpiYGADKli1rciQikhWnTSoAxo8fz/z581m4cCEHDhxg3LhxhIWF2bszTZ48mUGDBtm3v++++/juu++YM2cOx48fZ/PmzYwdO5aWLVuqkoSDunTpkn2gtpIKEbmR/O4Kq1Zr89nG1+l5LeKY3MwOIDf69+9PbGws06ZNIzIykqCgIFauXElAQABgrRRx/UC9IUOGkJiYyEcffcRzzz1HmTJl6NKlC2+99ZZZH0Fuwdb1qWTJkmolEpFMctsVFqBhw4Z4eXnRvn17pk+fnmVRCE9PTzw9PfP+A0i22bopq2iHiGNy6qQCYPTo0YwePTrL9xYvXpxp3dNPP83TTz+dz1FJXrl+oqOiMOBURHLm+q6wffr0sa8PDg7m/vvvz3Kfy5cv4+aW8fF3q66wYr5z584B3DBZFBFzOXX3Jyn8NHuqiNyKusIWDbbB8d7e3iZHIiJZcfqWCincbIO0VflJRG5EXWGLBltSoa6wIo5JSYU4NLVUiEh2qCts4Wcr2qGWChHHpO5P4tBsgy8rVapkciQiImIm20BtPQ9EHJOSCnFotubuMmXKmBuIiORaWFhYlgOhDcPI0D1J5J8uX75MfHw8oOpPIo5KSYU4NPWhFSk8AgMD7RV8rnf+/HkCAwNNiEicha2VokSJEnoeiDgoJRXi0GJjYwHNoCpSGNxoQrqLFy9SrFgxEyISZ3H9HBUqLy7imDRQWxzW9V0i/P39TY5GRG7X+PHjAeus11OmTKFEiRL299LS0ti+fTuNGzc2KTpxBpr4TsTxKakQh3Xu3DmSkpKwWCyq/iTixEJDQwHrFwV79uzBw8PD/p6HhweNGjViwoQJZoUnTkBJhYjjU1IhDis6OhqAcuXK4enpaXI0InK71q1bB8ATTzzBrFmz1CdeckxJhYjjU1IhDstWk1zjKUQKh0WLFgGwf/9+wsLCSE5OzvB+7969zQhLnICSChHHp6RCHFZcXBygiY5ECosTJ07wwAMPsGfPHiwWi728rG3gbVpampnhiQNTUiHi+FT9SRxWREQEoIeISGExduxYAgMDOXv2LCVKlGDfvn1s3LiR5s2bs379erPDEwem54GI41NLhTisU6dOARAQEGByJCKSF7Zu3cratWspX748Li4uuLi40K5dO2bMmMHYsWPtA7pF/kktFSKOTy0V4rBOnz4NqJysSGGRlpZGyZIlAfD19bV/+xwQEMChQ4fMDE0cmGEY9u6wvr6+JkcjIjeilgpxWPHx8YAGaosUFkFBQfz999/UqFGDu+66i7fffhsPDw8+/fRTatSoYXZ44qAuX75Meno6AKVKlTI5GhG5ESUV4rASExMBVH5SpJB4+eWXuXTpEgDTp0/nX//6F+3bt8fHx4cVK1aYHJ04KtuzwGKx4OXlZXI0InIjSirEYdlaKvTNlEjhcO+999p/rlGjBvv37+f8+fOULVvWXgFK5J/Onz8PWCsB6vdExHEpqRCHdfbsWQAqVqxociQikl/KlStndgji4M6cOQOAn5+fyZGIyM0oqRCHlJ6ebk8qKlWqZHI0InK7xo8fn+1tZ86cmY+RiLNSUiHiHJRUiEOKiYkhNTUVi8WilgoRJ5bdMrHq1iI3EhUVBaicrIijU1IhDslWPrB06dK4u7ubHI2I3K5Zs2bRoEEDXF1dzQ5FnJRtfF2ZMmXMDUREbkrzVIhDunjxIqBB2iLOrkmTJvaBtjVq1CA2NtbkiMTZJCQkAKoEKOLolFSIQ7IlFbaJskTEOZUpU4bjx48DcPLkSft8AyLZZUtENWeRiGNT9ydxSLZvppRUiDi3Bx98kI4dO1K5cmUsFgvNmze/YVcoW/Ihcr3Tp08DULVqVZMjEZGbUVIhDsk2ME+DtEWc26effkrfvn05evQoY8eOZcSIEerWKDmipELEOSipEIdkSypUTlbE+XXv3h2AkJAQnnnmGSUVkiMqLy7iHJRUiEOKjIwEVEJQpDBZtGiR2SGIk0lNTeXq1auABmqLODoN1BaHpJYKERGxFe0AjbETcXRKKsQhabIjERFJTEwEwN3dHU9PT5OjEZGbUVIhDsnW/UktFSIiRVd0dDQA5cuXNzkSEbkVp08qZs+eTWBgIMWKFaNZs2Zs2rTpptsnJSXx0ksvERAQgKenJ3fccQcLFy4soGglu86dOweo+pOISFFmG6RdoUIFkyMRkVtx6oHaK1as4Nlnn2X27Nm0bduWTz75hB49erB//36qVauW5T79+vXj7NmzLFiwgJo1axIdHU1qamoBRy43k5aWxqVLlwDw9vY2ORoRyY3x48dne9uZM2fmYyTijGxJhb5gEnF8Tp1UzJw5k2HDhjF8+HAAPvjgA9asWcOcOXOYMWNGpu1Xr17Nhg0bOH78OOXKlQOgevXqBRmyZIOtDy2g0pMiTi40NDTD65CQENLS0qhTpw4Ahw8fxtXVlWbNmpkRnjg422zavr6+JkciIrfitN2fkpOTCQkJoVu3bhnWd+vWjS1btmS5z48//kjz5s15++238fPzo3bt2kyYMIErV64URMiSTXFxcQB4enpqYJ6Ik1u3bp19ue++++jUqROnT59m165d7Nq1i/DwcDp37kyvXr3MDlUckK3VWpWfRByf07ZUxMTEkJaWlqlJtGLFivbKQf90/Phx/vjjD4oVK8b3339PTEwMo0eP5vz58zccV5GUlERSUpL9dUJCQt59CMmS5qgQKZzee+89fv31V8qWLWtfV7ZsWaZPn063bt147rnnTIxOHJEtqfDy8jI5EhG5FadtqbCxWCwZXhuGkWmdTXp6OhaLhaVLl9KyZUt69uzJzJkzWbx48Q1bK2bMmIG3t7d98ff3z/PPIBlFREQA4OfnZ3IkIpKXEhIS7H3krxcdHZ2h26OIjW2eCiUVIo7PaZMKX19fXF1dM7VKREdH33BAV+XKlfHz88sw+LdevXoYhsHp06ez3Gfy5MnEx8fbl/Dw8Lz7EJIltVSIFE59+vThiSee4JtvvuH06dOcPn2ab775hmHDhtG3b1+zwxMHdOHCBUBFO0ScgdMmFR4eHjRr1ozg4OAM64ODg2nTpk2W+7Rt25aIiIgMM3QePnwYFxcXqlatmuU+np6elC5dOsMi+cvWxaxMmTLmBiIieWru3Ln06tWLxx9/nICAAAICAnjsscfo0aMHs2fPNjs8cUCq/iTiPJw2qQBrqcL58+ezcOFCDhw4wLhx4wgLC2PUqFGAtZVh0KBB9u0HDBiAj48PTzzxBPv372fjxo08//zzDB06lOLFi5v1MeQfbN0gNDBPpHApUaIEs2fPJjY2ltDQUHbt2sX58+eZPXu2urdIlmyT3ympEHF8TjtQG6B///7ExsYybdo0IiMjCQoKYuXKlQQEBADWbjRhYWH27UuWLElwcDBPP/00zZs3x8fHh379+jF9+nSzPoJkwdaSpHKyIoWTl5cXDRs2NDsMcQKa/E7EeTh1UgEwevRoRo8eneV7ixcvzrSubt26mbpMiWOx1SVX9yeRwmfTpk188sknHDt2jG+++QY/Pz8+//xzAgMDadeundnhiQNJS0sjJiYGUEuFiDNw6u5PUjjZBt9roLZI4fLtt99y7733Urx4cUJDQ+3luhMTE3njjTdMjk4cTWxsrL2ioya/E3F8SirE4aj6k0jhNH36dObOncu8efNwd3e3r2/Tpg27du0yMTJxRLauTz4+Pri5OX3HCpFCT0mFOBzbwDz1oRUpXA4dOkSHDh0yrS9durS9dKiIzblz5wAoX768yZGISHYoqRCHYxuorbrkIoVL5cqVOXr0aKb1f/zxBzVq1MjVsWfPnk1gYCDFihWjWbNmbNq06abbJyUl8dJLLxEQEICnpyd33HEHCxcuzFUMkrdslQD1LBBxDmpPFIeSnJxMSkoKoBlURQqbkSNH8swzz7Bw4UIsFgsRERFs3bqVCRMm8Morr9z2cVesWMGzzz7L7Nmzadu2LZ988gk9evRg//79VKtWLct9+vXrx9mzZ1mwYAE1a9YkOjqa1NTU245B8p7Ki4s4l1wlFSkpKURFRXH58mXKly9PuXLl8iouKaKun5hQSYVI4fLCCy8QHx9P586duXr1Kh06dMDT05MJEybw1FNP3fZxZ86cybBhwxg+fDgAH3zwAWvWrGHOnDnMmDEj0/arV69mw4YNHD9+3P7cql69+m2fX/KHLalQeXER55Dj7k8XL17kk08+oVOnTnh7e1O9enXq169P+fLlCQgIYMSIEfz555/5EasUAXFxcYB1kqzrB3KKSOHw+uuvExMTw44dO9i2bRvnzp3jP//5z20fLzk5mZCQELp165Zhfbdu3diyZUuW+/z44480b96ct99+Gz8/P2rXrs2ECRO4cuXKDc+TlJREQkJChkXyl62crCo/iTiHHLVUvP/++7z++utUr16d3r17M2nSJPz8/ChevDjnz59n7969bNq0ia5du9KqVSs+/PBDatWqlV+xSyGk2VNFCrerV6+yd+9eoqOjSU9Pt5eQBujdu3eOjxcTE0NaWlqme0bFihUzHPt6x48f548//qBYsWJ8//33xMTEMHr0aM6fP3/DcRUzZszgtddey3F8cvts//8qVapkciQikh05Siq2bNnCunXruPPOO7N8v2XLlgwdOpS5c+eyYMECNmzYoKRCckSzp4oUXqtXr2bgwIH2CS6vZ7FYSEtLu+1jWyyWDK9t8xtkJT09HYvFwtKlS+2DgGfOnMlDDz3Exx9/TPHixTPtM3nyZMaPH29/nZCQgL+//23HK7empELEueQoqfj666+ztZ2np+cNZ7kWuRmVkxUpvJ566in69evHK6+8kmetkb6+vri6umZqlYiOjr7hOSpXroyfn1+GqkL16tXDMAxOnz6d5Zdhnp6eeHp65knMkj0qKSviXHI8pmLgwIFcvnw5P2IRsfdTLlOmjLmBiEiei46OZvz48XnavdHDw4NmzZoRHBycYX1wcDBt2rTJcp+2bdsSERGRoTDE4cOHcXFxoWrVqnkWm+SO7f+PBmqLOIccJxXLli3LcCMeOXKkfXCtja0kqEhOXbp0CVDlJ5HC6KGHHmL9+vV5ftzx48czf/58Fi5cyIEDBxg3bhxhYWGMGjUKsHZdGjRokH37AQMG4OPjwxNPPMH+/fvZuHEjzz//PEOHDs2y65OYQ88DEeeS45KyhmFkeL18+XImTpxI2bJlAWuf+ICAAK5evZo3EUqRYnuIlChRwuRIRCSvffTRRzz88MNs2rSJO++8M1OFt7Fjx97Wcfv3709sbCzTpk0jMjKSoKAgVq5cSUBAAACRkZGEhYXZty9ZsiTBwcE8/fTTNG/eHB8fH/r168f06dNv/8NJnrN9gal5KkScQ64nv/tnkgHWEn8it0PfTIkUXsuWLWPNmjUUL16c9evXZxhIbbFYbjupABg9evQNx/ItXrw407q6detm6jIljsMwDM6fPw9oRm0RZ5EvM2rfqOKGyK2oLrlI4fXyyy8zbdo0Jk2ahItLjnvfShFy8eJFe48HlRgXcQ63dVdftmwZu3btso+dUBIheUUlZUUKr+TkZPr376+EQm7JVgnQy8tLLdciTiLHd/Z27drx6quv0rx5c0qWLMnly5d58cUX+fjjj9m6dSuJiYn5EacUESopK1J4DR48mBUrVpgdhjgB27NA5WRFnEeOuz9t3LgRgCNHjhASEsKuXbsICQlhypQpXLhwQa0Wkiu2lgo1d4sUPmlpabz99tusWbOGhg0bZhqoPXPmTJMiE0ej8uIizue2x1TUqlWLWrVq8cgjj9jXnThxgp07dxIaGponwUnRkpKSYh+Yp5YKkcJnz549NGnSBIC9e/dmeE9fSMn1VAlQxPnkKKkICwujWrVqN3w/MDCQwMBAHn74YQDOnDmDn59f7iKUIsM2SNvFxYVy5cqZHI2I5LV169aZHYI4CVUCFHE+ORpT0aJFC0aMGMGOHTtuuE18fDzz5s0jKCiI7777LtcBStFh6/rk6+uLq6urydGISF5KSUmhc+fOHD582OxQxAkoqRBxPjlqqThw4ABvvPEG3bt3x93dnebNm1OlShWKFStGXFwc+/fvZ9++fTRv3px33nmHHj165FfcUgjFxsYCKicrUhi5u7uzd+9edXOSbLE9D3x8fEyORESyK0ctFeXKlePdd98lIiKCOXPmULt2bWJiYjhy5AgAjz32GCEhIWzevFkJheSYbfbUUqVKmRyJiOSHQYMGsWDBArPDECdw7tw5QNWfRJzJbQ3ULlasGH379qVv3755HY8UYbZyxEoqRAqn5ORk5s+fT3BwMM2bN8/UtUXVn8TGllSo5VrEedx29afw8HD8/f3zMhYp4uLj4wElFSKF1d69e2natClAprEV6hYl11N3WBHnc9tJRUBAAGXLlqVRo0Y0atSIxo0b06hRI5KSkvj4449ZsmRJXsYpRUBERASAKoaJFFKq/iTZZesOW7p0aZMjEZHsuu2k4vjx4+zevZvdu3cTGhrKN998Y/+jUDcBuR2nT58GoGrVqiZHIiIiZtI8FSLO57aTiurVq1O9enUeeOAB+7qtW7cyePBg3nrrrbyITYoYW1JauXJlkyMRkfxy4cIFFixYwIEDB7BYLNSrV49hw4bh7e1tdmjiQC5fvgwoqRBxJjmq/nQrrVu3ZtasWUyfPj0vDytFREJCAgBly5Y1ORIRyQ87d+7kjjvu4P333+f8+fPExMTw/vvvc8cdd7Br1y6zwxMHYksqihcvbnIkIpJdt91SkZKSgru7e6b1tWrVYt++fbkKSoomW1KhgdoihdO4cePo3bs38+bNw83N+vhJTU1l+PDhPPvss2zcuNHkCMVRnD9/HtCXTCLO5LaTCi8vL+rXr0+TJk1o3LgxTZo0oUqVKnz44Yd069YtL2OUIkJJhUjhtnPnzgwJBYCbmxsvvPACzZs3NzEycSSXL1+2t1So+pOI87jt7k9r165lxIgRuLu7s3TpUnr06EHt2rX58MMPSU5O5qWXXmLFihUcOHAgL+PNZPbs2QQGBlKsWDGaNWvGpk2bsrXf5s2bcXNzo3Hjxvkan2RPeno60dHRAFSoUMHkaEQkP5QuXZqwsLBM68PDw/VlgtjZ5qhwd3dX4RcRJ3LbLRXt2rWjXbt29tfp6ekcOnTIXhEqJCSEhQsXEh0dTVpaWp4E+08rVqzg2WefZfbs2bRt25ZPPvmEHj16sH//fqpVq3bD/eLj4xk0aBB33303Z8+ezZfYJGdiY2NJTU0FoGLFiiZHIyL5oX///gwbNox3332XNm3aYLFY+OOPP3j++ed59NFHzQ5PHERMTAxgnU1b85eIOI/bTir+ycXFhXr16lGvXr0MD4f8/KN95syZDBs2jOHDhwPwwQcfsGbNGubMmcOMGTNuuN/IkSMZMGAArq6u/PDDD/kWn2RfVFQUYG3q9vDwMDkaEckP7777LhaLhUGDBpGamophGHh4ePDvf/+bN9980+zwxEHYWirKly9vciQikhN5Wv0pK/n1rXNycjIhISGZxm9069aNLVu23HC/RYsWcezYMV599dVsnScpKYmEhIQMi+Q926A8Hx8fkyMRkfzi4eHBrFmziIuLs7dqnz9/nvfffx9PT0+zwxMHYUsqNJ5CxLnkWUtFQYuJiSEtLS1T0lKxYkX7t97/dOTIESZNmsSmTZsyDBS8mRkzZvDaa6/lOl65OdvsqepXLVK4/f777/z+++9ER0eTnp6e4b2FCxeaFJU4ErVUiDinfG+pyG//7G9pGEaWfTDT0tIYMGAAr732GrVr18728SdPnkx8fLx9CQ8Pz3XMkpktqShZsqTJkYhIfnnttdfo1q0bv//+OzExMcTFxWVYRCDjmAoRcR5O21Lh6+uLq6trplaJ6OjoLLtcJSYmsnPnTkJDQ3nqqacA6+BywzBwc3Pj119/pUuXLpn28/T0VLN8AYiPjwfUUiFSmM2dO5fFixczcOBAs0MRB2Z7HmiOChHn4rQtFR4eHjRr1ozg4OAM64ODg2nTpk2m7UuXLs2ePXvs/Xh3797NqFGjqFOnDrt37+auu+4qqNAlC7YB/ar8JFJ4JScnZ3l/FrmereXay8vL5EhEJCectqUCYPz48QwcOJDmzZvTunVrPv30U8LCwhg1ahRg7bp05swZlixZgouLC0FBQRn2r1ChAsWKFcu0XgpeZGQkAJUrVzY5EhHJL8OHD2fZsmVMmTLF7FDEgak7rIhzcuqkon///sTGxjJt2jQiIyMJCgpi5cqVBAQEANY/VLOaaEkcj60bW6VKlUyORETyy9WrV/n000/57bffaNiwIe7u7hnenzlzpkmRiSOxVVlUd1gR5+LUSQXA6NGjGT16dJbvLV68+Kb7Tp06lalTp+Z9UJJjtkGaKikrUnj9/fffNG7cGIC9e/dmeE+TnImNWq5FnJPTJxVSOKi5W6TwW7dundkhiBOIiIgAlFSIOBunHagthYuSChERSUpKsrdcK6kQcS5KKsQhXLhwAbBW6RIRkaLJVk4WoEyZMuYFIiI5pqRCTJeenm6fQVUlZUVEiq7ry8m6uOhPFBFnon+xYrrY2FjS0tKwWCyaQVVEpAhTV1gR56WkQkxnKyfr4+OTqcSkiIgUHefPnwfU9UnEGan6k5hOc1SIFB0pKSlERUVx+fJlypcvT7ly5cwOSRzI2bNnAXWFFXFGaqkQ09keIkoqRAqnixcv8sknn9CpUye8vb2pXr069evXp3z58gQEBDBixAj+/PNPs8MUB6CkQsR5KakQ09laKvQQESl83n//fapXr868efPo0qUL3333Hbt37+bQoUNs3bqVV199ldTUVLp27Ur37t05cuSI2SGLiaKjowGoUKGCyZGISE6p+5OYTg8RkcJry5YtrFu3jjvvvDPL91u2bMnQoUOZO3cuCxYsYMOGDdSqVauAoxRHkZCQAGhMhYgzUlIhprNV+9AcFSKFz9dff52t7Tw9PRk9enQ+RyOO7tKlS4C1pKyIOBd1fxLTqYSgSOE2cOBALl++bHYY4gT0PBBxXkoqxHT6ZkqkcFu2bJn9j0WAkSNHEhcXl2GblJSUgg5LHFBiYiKgpELEGSmpENPFxsYCULZsWZMjEZH8YBhGhtfLly/PkFScPXuWUqVK5eocs2fPJjAwkGLFitGsWTM2bdqUrf02b96Mm5sbjRs3ztX5JW/YxthpIlQR56OkQkwXGRkJQOXKlU2OREQKwj+TDIDk5OTbPt6KFSt49tlneemllwgNDaV9+/b06NGDsLCwm+4XHx/PoEGDuPvuu2/73JK3VFJWxHkpqRDTafI7EbFYLLe978yZMxk2bBjDhw+nXr16fPDBB/j7+zNnzpyb7jdy5EgGDBhA69atb/vckncMw7C3VCipEHE+SirEVFevXrWXENRDRKTwWrZsGbt27bKPnchNEnG95ORkQkJC6NatW4b13bp1Y8uWLTfcb9GiRRw7doxXX301T+KQ3Lt06ZK9xcrHx8fkaEQkp1RSVkxlSyhAJWVFCqt27drx6quvkpiYiLu7O6mpqbz44ou0a9eOpk2b5qr/fExMDGlpaZm+lKhYsaK9FfSfjhw5wqRJk9i0aRNubtl7DCYlJZGUlGR/ff29S/KGrWiHxWKhRIkSJkcjIjmlpEJMZav04eXlhYuLGs5ECqONGzcC1j/mQ0JC2LVrFyEhIUyZMoULFy7kSavFP49hGEaWx01LS2PAgAG89tpr1K5dO9vHnzFjBq+99lqu45Qbs1UIK1GiRJ61ZIlIwVFSIaayfdunVgqRwq9WrVrUqlWLRx55xL7uxIkT7Ny5k9DQ0Ns6pq+vL66urplaJaKjo7PsUpmYmGg/31NPPQVAeno6hmHg5ubGr7/+SpcuXTLtN3nyZMaPH29/nZCQgL+//23FLFlTeXER56akQkxlq/ykQdoihVNYWBjVqlW74fuBgYEEBgby8MMPA3DmzBn8/PyyfXwPDw+aNWtGcHAwffr0sa8PDg7m/vvvz7R96dKl2bNnT4Z1s2fPZu3atXzzzTcEBgZmeR5PT088PT2zHZfknK28uMZTiDgn9TcRU505cwYgR39EiIjzaNGiBSNGjGDHjh033CY+Pp558+YRFBTEd999l+NzjB8/nvnz57Nw4UIOHDjAuHHjCAsLY9SoUYC1lWHQoEEAuLi4EBQUlGGpUKECxYoVIygoSN+Sm8hW+alChQomRyIit0MtFWKqiIgIQHNUiBRWBw4c4I033qB79+64u7vTvHlzqlSpQrFixYiLi2P//v3s27eP5s2b884779CjR48cn6N///7ExsYybdo0IiMjCQoKYuXKlQQEBADWFtFbzVkh5lNSIeLclFSIqeLj4wEoV66cyZGISH4oV64c7777LtOnT2flypVs2rSJkydPcuXKFXx9fXnssce49957CQoKytV5Ro8ezejRo7N8b/HixTfdd+rUqUydOjVX55fcU1Ih4tyUVIipbNWfSpYsaXIkIpKfihUrRt++fenbt6/ZoYiDUlIh4tw0pkJMZSshWKpUKZMjEZH8Fh4ebnYI4sCUVIg4N7VUiKls1T7KlCljbiAiku8CAgIoW7YsjRo1olGjRjRu3JhGjRqRlJTExx9/zJIlS8wOUUykpELEuSmpEFPZSspWqVLF5EhEJL8dP36c3bt3s3v3bkJDQ/nmm2/sxRo0V43ExMQA1rlHRMT5KKkQU6n6k0jRUb16dapXr84DDzxgX7d161YGDx7MW2+9ZV5g4hDUHVbEuWlMhZgmNTWV8+fPA2Q5862IFH6tW7dm1qxZTJ8+3exQxGS2GbVLlChhciQicjuUVIhpbN9KAXh7e5sYiYgUhJSUlCzX16pVi3379hVwNOJobEmFJiAUcU5On1TMnj2bwMBAihUrRrNmzdi0adMNt/3uu+/o2rUr5cuXp3Tp0rRu3Zo1a9YUYLRyPVtS4e7ujoeHh8nRiEh+8/LyonHjxjzxxBPMmjWLjRs3cvToUT788EO6detmdnhioitXrpCamgqo+5OIs3LqpGLFihU8++yzvPTSS4SGhtK+fXt69Ohxw5lTN27cSNeuXVm5ciUhISF07tyZ++67j9DQ0AKOXEBzVIgUNWvXrmXEiBG4u7uzdOlSevToQe3atfnwww9JTk7mpZdeYsWKFRw4cMDsUKWAnT17FgAPDw8N2hdxUhbDMAyzg7hdd911F02bNmXOnDn2dfXq1eOBBx5gxowZ2TpGgwYN6N+/P6+88kq2tk9ISMDb25v4+Hjd+HJpw4YNdOrUidq1a3Po0CGzwxGRf8jv+116ejqHDh2yV4T666+/+Ouvv4iOjiYtLS3Pz5eX9CzIWzt27OCuu+6iatWqms9ExMFk937ntNWfkpOTCQkJYdKkSRnWd+vWjS1btmTrGOnp6SQmJlKuXLkbbpOUlERSUpL9dUJCwu0FLJnYKj+pnKxI0eTi4kK9evWoV68ejz76qH297VtrKTps/89VtEPEeTlt96eYmBjS0tIy3YAqVqxIVFRUto7x3nvvcenSJfr163fDbWbMmIG3t7d98ff3z1Xcco2SChHJiv6wLHri4uIAbvoln4g4NqdNKmwsFkuG14ZhZFqXleXLlzN16lRWrFhx09k7J0+eTHx8vH1Rs2zeUVIhIiKgOSpECgOn7f7k6+uLq6trplaJ6OjoW37LtWLFCoYNG8bXX3/NPffcc9NtPT098fT0zHW8kpmSChERgWtJhQp3iDgvp22p8PDwoFmzZgQHB2dYHxwcTJs2bW643/LlyxkyZAjLli2jV69e+R2m3ISSChERAYiPjwfQoHcRJ+a0LRUA48ePZ+DAgTRv3pzWrVvz6aefEhYWxqhRowBr16UzZ86wZMkSwJpQDBo0iFmzZtGqVSt7K0fx4sU1+ZoJoqOjAfWfFhEp6iIjIwGoVKmSyZGIyO1y6qSif//+xMbGMm3aNCIjIwkKCmLlypUEBAQA1pvU9XNWfPLJJ6SmpjJmzBjGjBljXz948GAWL15c0OEXebZ5KvTNlIhI0WZLKipXrmxyJCJyu5w6qQAYPXo0o0ePzvK9fyYK69evz/+AJNs0+Z2IiAD2ngNKKkScl9OOqRDnlp6ermofIiICXJsDqkyZMuYGIiK3TUmFmCImJob09HQsFgu+vr5mhyMiIiZS9ScR56ekQkxha+r29fXF3d3d5GhERMRMly5dAsDLy8vkSETkdimpEFPYkgpV+hARKdpSUlLsSYW6w4o4LyUVYorz588D4OPjY3IkIiJipnPnzgHg6uqqZ4KIE1NSIabQIG0REQE4e/YsABUqVMDFRX+WiDgr/esVU2hQnoiIwLXusJoIVcS5KakQU2iOChERAbhw4QIAZcuWNTcQEckVJRViiujoaACVkxURKeJsg7T1JZOIc1NSIaaw9aFVc7eISNGm7rAihYOSCjGF+tCKiAhc6w6rOSpEnJuSCjFFbGwsoO5PIiJFna07bIUKFUyORERyQ0mFmMLW3F26dGmTIxERETNpMlSRwkFJhZjC1tyteSpERIo2W1JRuXJlkyMRkdxQUiEFLi0tjYSEBAC8vb1NjkZERMyklgqRwkFJhRS4iIgI0tLScHd310BtEZEiLjIyElBSIeLslFRIgTt58iQA1apVw9XV1dxgRETENBcvXrTPU6GkQsS5KamQAmdLKgICAswNRERETGWbs6hEiRKap0LEySmpkAJnSyqqV69uahwiImIuW9EOja8TcX5KKqTAnTp1ClBLhYhIUWfr+qSJ70Scn5IKKXDnzp0D1H9WRKSos81ZpK5PIs5PSYUUuPPnzwNQrlw5kyMREREzxcXFAer+JFIYKKmQAnf69GlALRUiIkVddHQ0gMqLixQCSiqkQCUnJxMWFgZAzZo1TY5GRETMZKv+VKFCBZMjEZHcUlIhBerMmTOkp6dTrFgxfTMlInlm9uzZBAYGUqxYMZo1a8amTZtuuO13331H165dKV++PKVLl6Z169asWbOmAKMVG7VUiBQeSiqkQMXExABQvnx5LBaLydGISGGwYsUKnn32WV566SVCQ0Np3749PXr0sLeK/tPGjRvp2rUrK1euJCQkhM6dO3PfffcRGhpawJFLfHw8AGXKlDE3EBHJNSUVkm/mzJlD+fLlmTt3rn2d7VspX19fs8ISkUJm5syZDBs2jOHDh1OvXj0++OAD/P39mTNnTpbbf/DBB7zwwgu0aNGCWrVq8cYbb1CrVi1++umnAo5cbCVlS5QoYXIkIpJbSiok34wePZqYmBgmT55sX3fkyBEAatSoYVZYIlKIJCcnExISQrdu3TKs79atG1u2bMnWMdLT00lMTLxpRbqkpCQSEhIyLJJ7mqdCpPBQUiH54tixY/afL1y4QGpqKgCHDh0CoE6dOqbEJSKFS0xMDGlpaZn65FesWJGoqKhsHeO9997j0qVL9OvX74bbzJgxA29vb/vi7++fq7jFyjZPhZIKEeenpELyxa+//prh9dGjRwGIiIgA0ANZRPLUP8doGYaRrXFby5cvZ+rUqaxYseKmFYgmT55MfHy8fQkPD891zHJtnJ2Pj4/JkYhIbjl9UpGTih8AGzZsoFmzZhQrVowaNWpk6O8veWf//v0ZXp85cwaAU6dOAVC5cuUCj0lECh9fX19cXV0ztUpER0ffsqLQihUrGDZsGF999RX33HPPTbf19PSkdOnSGRbJvXPnzgEqKStSGDh1UpHTih8nTpygZ8+etG/fntDQUF588UXGjh3Lt99+W8CRF3625MEmOjqaS5cusWfPHgCaNWtmRlgiUsh4eHjQrFkzgoODM6wPDg6mTZs2N9xv+fLlDBkyhGXLltGrV6/8DlOycOnSJS5fvgwoqRApDJw6qchpxY+5c+dSrVo1PvjgA+rVq8fw4cMZOnQo7777bgFHXvjt3r0buDbB3b59+zhy5Ajp6en4+vpStWpVE6MTkcJk/PjxzJ8/n4ULF3LgwAHGjRtHWFgYo0aNAqxdlwYNGmTffvny5QwaNIj33nuPVq1aERUVRVRUlL28qRQMW9cnDw8PSpYsaXI0IpJbTptU3E7Fj61bt2ba/t5772Xnzp2kpKTkW6xFzblz5+z9jYcPHw5Yk4xt27YBUL9+fdNiE5HCp3///nzwwQdMmzaNxo0bs3HjRlauXElAQAAAkZGRGVqwP/nkE1JTUxkzZgyVK1e2L88884xZH6FISkxMBMDb21vzFokUAm5mB3C7bqfiR1RUVJbbp6amEhMTk2U//6SkJJKSkuyvVUbw1nbt2gVArVq1aNy4MWDtDvXLL78A0L17d7NCE5FCavTo0YwePTrL9xYvXpzh9fr16/M/ILklW+UntVKIFA5O21Jhk9OKH1ltn9V6G5URzDlbUtGsWTN7q8TevXv5+eefAejRo4dpsYmIiGOwzVGhpEKkcHDapOJ2Kn5UqlQpy+3d3NxuWM5OZQRzzpZUNG3aFH9/f/u4CrCWDbzzzjvNCk1ERBxEdHQ0oHKyIoWF0yYVt1Pxo3Xr1pm2//XXX2nevDnu7u5Z7qMygjl3fVIBcPfdd9vfe/rpp3F1dTUlLhERcRy2cS7qASBSODhtUgE5r/gxatQoTp06xfjx4zlw4AALFy5kwYIFTJgwwayPUOjExcVx/PhxAJo0aQLAgAEDsFgslC1blqeeesrM8ERExEHYWv6rVatmciQikhecdqA2WCt+xMbGMm3aNCIjIwkKCrppxY/AwEBWrlzJuHHj+Pjjj6lSpQr//e9/efDBB836CIVOaGgoYL3W5cqVA6BDhw7s27eP4sWLq5lbREQAtVSIFDZOnVRAzip+AHTs2NHePUfy3j+7PtnUq1fPjHBERMRB2VoqlFSIFA5O3f1JHM+NkgoREZHrKakQKVyUVEie2rt3LwCNGjUyORIREXFU6enpnD9/HoDy5cubHI2I5AUlFZJn0tPT7X1kAwMDTY5GREQcVXx8vH2eqLJly5ocjYjkBSUVkmd+//134uPj8fb25o477jA7HBERcVBnz54FoFSpUnh6epocjYjkBSUVJrh69epN37d9e+NsPvzwQwAGDhyoh4SIiNzQiRMnAKhevbq5gYhInnH66k/OIiUlhTlz/uT0aQsffjiOq1f3MWBAbypUqED9+vW555578PHxoXv37hw6dIg1a9bQvHlzs8POtri4OFatWgXAv//9b5OjERERR3by5ElAXWVFChMlFQVk7ty5PPOMKzAa2AbAsmXRwPH/X5YCM4E4ANasWUNKSgqlSpUiKCgo0/F++eUXLly4wGOPPVYwH+AWfvzxR1JTU2nQoAH169c3OxwREXFgMTExAFSsWNHkSEQkryipKCC//vor0ADYAdQAfIEK/7+0+v+t3rFv//LLxYBywHFq1oygdm03+vdvwcmTa7FYTvDKK+MA+Omnn3juuedo0aJFwX0YYOXKlQwfPpz58+fTuXNnJk2aBMB9991XoHGIiIjzsVV+sk2SKiLOT0lFAZk0aRIlS35ERMTz3HXXXWzffpCNG8OwJhg1gCpAwnV71AfqAHU4ehSOHoWVKwHu///3pwLxrFixghUrLvLSS/9l165vuHp1P4sWTScgoCqGYbB06VJKlizJAw88kKefp1evXgAMHjyYFi1aEBUVRYUKFZgyZUqenkdERJzbggUL2LVrF9OnT7dXeoqIiADUUiFSmCipKCBt27albdu2GdbFxMTg6+tLeHg4q1atYs+ep6hXrx5jxowBhnPffROIiChGSMh5riUfNQBXIP66I/2b11+vAbwAQPXqyZQuHUV6+lEuXkwAhvLmm/8hLS0NcKd37x6ULVuWSpUq4erqmmW8hmFgsVhISUkhMjKSatWq2d+Li4vL8BlsYymGDRtGiRIlcnehRESk0IiJiWH48OEA1KpVi2effRaAo0ePAlCzZk2zQhORPKakwkS+vr6AdTbRJ598EoCkpCRWrFhB1apVWbJkLK6urqSlpXH27Fk+++wzGjaMoUWLTpQvn87ly5eZO3cuEyZsxZpo1ACqAx4kJFQCKgFBwBh79yT4iZdeqggcp2LFw1SrlkqHDn6UKRNHqVLn+PPPb9m1K4STJ0/y/fffM2nSJP766y+++OIL2rZty8GDB+nevXumzxIYGMjEiRPz+YqJiIgz2bhxo/1n2+SocK36U40aNQo8JhHJHxbDWeuXmiQhIQFvb2/i4+MpXbq02eEA1knnLl26RMmSJdmzZz8TJ/6X7dvPERdXhgoValCy5CKOHz+On58fZ878irVrVVYSAO/rXo8CvLg2mPw4kJjlnjExMfj4+OTdhxIR0zni/c5R6Npkz9NPP81HH30EwF133cW2bdtITk62lx3Xs0PE8WX3fqeWikLAxcWFUqVKAdCwYQNWrfrkH1u8bP/pjz/+pkuXFqSkVCVjl6oawIV/7DcGa0vH9WJwcTlFw4Yu7N7dFICSJUuSnOxDUhJoegoREbHZsmWL/edjx44BEBYWBoCnp6dm0xYpRJRUFDHt2jUkLm49kZGRnDx5ki5dumAYBnv37uXkybP07p0OWLthPfbYAU6dOkxqqj+HD6dy5UopwJf0dF/S0mDixIm89dZbvPnmm3TrBvv2QZUqEBiYcaldG9q0Mfdzi4hIwbMlEGCt+JSens7OnTsBaNSoES4umoNXpLBQUlEEeXl5UbNmzQwD5Bo1akSjRo3sr4sVK8a33zbJsF9iIpw4YV0sFrjvvhk8/vjj1KtXj//8BwwDzpyxLn/8cW2/O++Ev/++9nrECOu2/0w+Kla0HldERJzfxYsX7fNRgLWrblRUFIcPHwbgzjvvNCs0EckHSiok20qVgoYNrYuVxT4xX2QkxMRcSzquX64v7mEY8OWXcPFi5uMXLw7dusEPP1xb99tv4ONjTTrKlMmnDyYiInnONjC7cuXKlCtXjn379rFr1y7+/v9vmVT5SaRwUVIhecJigfLlrUvLljfeLj0dPv44c+Jx+jRcuQJpade2NQzo29faQgLWpOL6lo0WLaB//3z9WCIicptsyUPDhg0pU6YM+/bt4+DBg6xduxaATp06mRidiOQ1JRVSoFxdYdCgzOuTkyEsLGNSceUK1KtnTTrOnYMLFyA01LoA/Otf15IKw4C6daFcuczdqgIDwd8f3N3z/eOJiMj/uz6psBWa/O6774iLi6N06dI0b97czPBEJI8pqRCH4OGRsZsUQIkSsH279eeLF+HkyWstGydPQv3rKuPGxcH/d9Nl27bMx+/VC37+2fqzYcCbb0LVqlC9unWpUsWa8IiISN64Pqnw8PAAYOvWrYC1vKybm/4EESlM9C9anELJkhAUZF2yUqoU7NyZ9ZiOkyetiYPNhQvw4osZ93dzs7ZmVK8O998Pzzxz7b1Tp8DPz7qNiIjcmmEYGZKKSpUqZXi/T58+ZoQlIvlIfyZJoeDuDs2aWZd/Sk+HpKRrr5OTYehQa7Jw8qS121VKyrUk5PoWkAsXrImGq2vGlo2AAOt/mzaF64pmiYgIEB4eTnx8PG5ubtStWxcPDw98fX3t1aAef/xxkyMUkbympEIKPRcXa2Upm4oVYcGCa6/T0qzVq2xJRo0a196LiLB2zUpOtr5/6hRs2HDt/dGjrQPPwZqA3H9/xqTDtlStaj2OiEhRYGulqFevnr3r04wZM3jhhReYNGmSfcJWESk8lFRIkWdrhahaFdq2zfhe/frWAeNRUdaEw7bYEpDrW0ZOnoSNG63LP1ksMHEizJhhfX3pEixffi3p8PfXbOQiUnhc3/XJZvjw4QwfPtyskEQknympELkFFxfrQO4qVW4+M3i1atZEIavk4+pVKFv22rZHj1onAbSxWKBy5WtJRv/+0Lu39b20NEhNVdIhIs4jq6RCRAo3JRUieaRcOXjkkczrDQOiozOWtLVYoEePa4nH5cvWrlYREbBli3Wchi2p2LfP+vr6pOP6sR0NG1rfExFxFEoqRIoeJRUi+cxisY7juF7DhrBypfVnw7DORn59C0eXLte2PXXK+t/ISOvy/xUZ7d5809q1CqxldSdNsiYbAQHW1hPbzz4+1lhERPLT1atXOXToEKCkQqQoUVIhYrLrZyNv0SLz+//6l3Xyv392qbIttWtf2/bgQfj++6zPU6IEfPDBtW5XUVHw22/Xko4qVVQ2V0Ry7+TJk6Snp1O6dGkqqxlVpMjQnxAiDs5iAV9f63KrCWiDguDDD69Vqjp1yloyNyrK2sXq+oIrf/4JAwdee+3qap2Pw9bC8eST0KGD9b2kJOu4Di+vvP98IlK4nPr/5tUqVapgUfOoSJGhpEKkEKlRA556KvP6q1chPNzaGmJTogR07mxNOmxzddh+BmsLic2vv1rHePj4ZN21qlUra0uHiMj//vc/wDprtogUHUoqRIqAYsWgVq2M6+6+27qAdYLAqChrQmFr4bi+K9aZM9b/xsZal127Mh5r+fJrg9Q3bIA33sicfFSrZm0JuX7AuogULlevXmXZsmUADBgwwORoRKQgKakQkQxlc1u1yvz+qFHWpOH6pOP6n2vWvLbtnj3Wlo0bneebb6BPH+vrAwes83pcn3iULJn3n09ECsaGDRuIj4/Hz8+Pe+65x+xwRKQAOW1SERcXx9ixY/nxxx8B6N27Nx9++CFlypTJcvuUlBRefvllVq5cyfHjx/H29uaee+7hzTffpIr6bYjcUpky1uVWxVzuvRcWLsyceISHW2cmv74S1tq1mbtrlS1rnQywWjWYOvXaBIPnz0NiojXxUWuHiGNau3YtAPfeey8uLi4mRyMiBclpk4oBAwZw+vRpVq9eDcCTTz7JwIED+emnn7Lc/vLly+zatYspU6bQqFEj4uLiePbZZ+nduzc7d+4syNBFCrVatTJ3tQJrF6uzZ63zedj4+VnHbtiSj/h4iIuzLn//DZMnX9t2+XJrAuLiYp2Xw5Z42P7bt691VnQRMcf58+dZsmQJAF2ur4stIkWCUyYVBw4cYPXq1Wzbts0+EGzevHm0bt2aQ4cOUadOnUz7eHt7ExwcnGHdhx9+SMuWLQkLC6NatWoFErtIUWVLBq73wAPWxSYhwdqiERZm/W/dutfeS0wEDw9ra8eZM9Zl27Zr7zdvfi2pmDcP3nknY9Jx/c81aliPJSK58/TTT/P777+zfv16li1bRlRUFLVr1+bBBx80OzQRKWBOmVRs3boVb2/vDJUlWrVqhbe3N1u2bMkyqchKfHw8Fovlhl2mAJKSkkhKSrK/TkhIuO24ReTmSpeGBg2syz9NmgQvvGCdnfz6xMP23xo1rm179CgcOWJdsrJ5M7RpY/155Urrcn3S4e+veTtEbuXs2bN89NFHAEyePJmFCxcCMHLkSIoVK2ZmaCJiAqd8ZEZFRVGhQoVM6ytUqEBUVFS2jnH16lUmTZrEgAEDKF269A23mzFjBq+99tptxyoiecfFBSpVsi5ZTRRoM24c9Ox5rUSuLfmwLf7+17bdsAE+/jjrc/n5wS+/wJ13Wtft2QMnTlxLPsqV0yzljmL27Nm88847REZG0qBBAz744APat29/w+03bNjA+PHj2bdvH1WqVOGFF15g1KhRBRix89u4caP9Z1tC4enpyeOPP25WSCJiIodKKqZOnXrLP+D//PNPgCwn1DEMI1sT7aSkpPDII4+Qnp7O7Nmzb7rt5MmTGT9+vP11QkIC/tf/RSIiDseWeNyIYVz7uWtXa4vE9cnH6dPWeTvCw62D022++ALefvva6+LFM7ZwvPbatS5Y8fHWAeUlSuTpR5MsrFixgmeffZbZs2fTtm1bPvnkE3r06MH+/fuz7Np64sQJevbsyYgRI/jiiy/YvHkzo0ePpnz58g7TbScyMhIvL6+bfulVkBISEnBzc6PE//9Cx8bG0q9fv0zbrVixIssv/USk8LMYxvWPV3PFxMQQExNz022qV6/OsmXLGD9+PBcuXMjwXpkyZXj//fd54oknbrh/SkoK/fr14/jx46xduxYfH58cxZiQkIC3tzfx8fEOc7MXkbxlG1QeHm6tPuXqal3//vvWAeNhYdb3/yk8/FpSMXGiNQEpV86adFStav2v7ecHHrB293JkznK/u+uuu2jatClz5syxr6tXrx4PPPAAM2bMyLT9xIkT+fHHHzlw4IB93ahRo/jrr7/YunVrts6Z22tjGAZRUVFUqlSJ9PR0wPplmYuLC8HBwfTo0YOyZcty4sQJSt6gzvKRI0do27YtDz30EFOnTqV8+fI3/MLtr7/+IjAwEG9v72zHuHTpUlJSUmjdujVt27bF3d2dtWvX8sMPP/DOO+8QFxeXYfuOHTuyfv367F8EEXEK2b3fOVRLha+vL76+vrfcrnXr1sTHx7Njxw5atmwJwPbt24mPj6eNraN0FmwJxZEjR1i3bl2OEwoRKRpsg8r/ObB83DjrApCUZG3RsLVwnDqVsXXE1hPz/Hnr8tdfGY8VHn4tqZg+Hb77LnPiYfs5IOBaYiMZJScnExISwqRJkzKs79atG1u2bMlyn61bt9KtW7cM6+69914WLFhASkoK7vlYs9gwDK5evcrLL7/MzJkzM73v6+tr/3ItJiaG77//ngULFvDggw/y0EMPUaFCBc6ePcvrr79ub2mfM2cOc+bM4c033+See+5h9OjRBAYGsnTpUlxdXXnllVeYPn0699xzD8888wz/+9//SElJoWHDhsTExPDkk09y8eJFSpcuzcGDB3n77bf5/fffs4y/fv36GV77+PgQGxsLkOmaikjR4lAtFTnRo0cPIiIi+OSTTwBrSdmAgIAMJWXr1q3LjBkz6NOnD6mpqTz44IPs2rWLn3/+mYrXFcsvV64cHtksBeMs39yJiPni463JQ3i4NQG5/ufVq68lCo8+Cl9+eePjXN8CsmQJ/PnntYTDloDkx2zlznC/i4iIwM/Pj82bN2f4UumNN97gs88+49ChQ5n2qV27NkOGDOHFF1+0r9uyZQtt27YlIiKCyv/MJsm6aIe/v3+Or82TTz7JvHnzsr19bri6upKWlpbnx3V3d+f+++9n+PDhtGvXzt6SEhoaSuPGjfP8fCJiLqdsqciJpUuXMnbsWPs3I71797ZXobA5dOgQ8fHxAJw+fdo+Ud4/b3rr1q2jU6dO+R6ziBQt3t7WJSjo5tv95z/w+OOZk4/wcGuLx/V/465alXUCYrFYW0r++gvKl7eu27gRIiOtiUerVtYWmMLqn91+bjXGLqvts1pvkxdFOwzDyNOEokyZMjzyyCO4uLhkOT7wRglFjRo1OH78+E2P3bZtWxo1akRSUhIHDhygRYsWdO3alZ9//pmRI0dmeI4eOHCAY8eOKaEQKeKcNqkoV64cX3zxxU23ub4Rpnr16jhpo4yIFHI1a1qXrBhGxgpT/ftD9eqZWz6Sk63ldq+fXHDOHGsC4uEBV67k60cwja+vL66urpkq/0VHR2dokb5epUqVstzezc3tht1i86Jox8WLF+nduzc//vgjFSpUYMqUKQQHB3P06FHuu+8+9u7dy6pVq7jrrrsoX768/Yuwy5cv8/3331OhQgW2b9/O+vXrmTVrVoauSBMnTmTVqlU0bNiQFi1acPDgQT799FPi4+Nxd3fnjTfeAKzVmby9vVm3bh0jR47kyJEj3H///UyaNInSpUtz+PBh7rjjDu60lTz7h169emVaV7duXepeP6mMiBRJTtv9ySzO0B1ARIqW9HSIibG2SjRqdG39tGnw22/WForbGT/rLPe7u+66i2bNmmX4tr5+/frcf//9Nxyo/dNPP7F//377un//+9/s3r27wAZq30poaCiDBw9mwoQJDBo0KM+PLyKSXdm93ympyCFneciKiOSWs9zvVqxYwcCBA5k7dy6tW7fm008/Zd68eezbt4+AgAAmT57MmTNnWLJkCWAtKRsUFMTIkSMZMWIEW7duZdSoUSxfvjzbJWWd5dqIiORWoR9TISIiAtC/f39iY2OZNm0akZGRBAUFsXLlSgICAgDrnA9hYWH27QMDA1m5ciXjxo3j448/pkqVKvz3v/91mDkqRESckVoqckjfTolIUaH73Y3p2ohIUZHd+10hrgUiIiIiIiIFQUmFiIiIiIjkipIKERERERHJFSUVIiIiIiKSK0oqREREREQkV5RUiIiIiIhIriipEBERERGRXFFSISIiIiIiuaKkQkREREREckVJhYiIiIiI5Iqb2QE4G8MwAOuU5SIihZntPme778k1ehaISFGR3WeBkoocSkxMBMDf39/kSERECkZiYiLe3t5mh+FQ9CwQkaLmVs8Ci6GvoHIkPT2diIgISpUqhcViMTucXElISMDf35/w8HBKly5tdjhOS9cx93QN80ZeX0fDMEhMTKRKlSq4uKi37PUKy7NA//byhq5j3tB1zBtmPQvUUpFDLi4uVK1a1eww8lTp0qX1jzcP6Drmnq5h3sjL66gWiqwVtmeB/u3lDV3HvKHrmDcK+lmgr55ERERERCRXlFSIiIiIiEiuKKkowjw9PXn11Vfx9PQ0OxSnpuuYe7qGeUPXUXJKvzN5Q9cxb+g65g2zrqMGaouIiIiISK6opUJERERERHJFSYWIiIiIiOSKkgoREREREckVJRVOrHr16lgslkzLmDFjAPjuu++499578fX1xWKxsHv37kzHSEpK4umnn8bX1xcvLy969+7N6dOnM2wTFxfHwIED8fb2xtvbm4EDB3LhwoUC+IQFIy+uY6dOnTLt/8gjj2TYpihfx5SUFCZOnMidd96Jl5cXVapUYdCgQURERGQ4hn4f8+Y66vexaNGzIG/oWZA39CzIPad9DhjitKKjo43IyEj7EhwcbADGunXrDMMwjCVLlhivvfaaMW/ePAMwQkNDMx1j1KhRhp+fnxEcHGzs2rXL6Ny5s9GoUSMjNTXVvk337t2NoKAgY8uWLcaWLVuMoKAg41//+lcBfcr8lxfXsWPHjsaIESMyHOfChQsZtinK1/HChQvGPffcY6xYscI4ePCgsXXrVuOuu+4ymjVrluEY+n3Mm+uo38eiRc+CvKFnQd7QsyD3nPU5oKSiEHnmmWeMO+64w0hPT8+w/sSJE1neAC9cuGC4u7sbX375pX3dmTNnDBcXF2P16tWGYRjG/v37DcDYtm2bfZutW7cagHHw4MH8+zAmyul1NAzrP95nnnnmhsfUdcxsx44dBmCcOnXKMAz9Pt5ITq+jYej3sajTsyBv6FmQN/QsyD1neQ6o+1MhkZyczBdffMHQoUOxWCzZ2ickJISUlBS6detmX1elShWCgoLYsmULAFu3bsXb25u77rrLvk2rVq3w9va2b1OY3M51tFm6dCm+vr40aNCACRMmkJiYaH9P1zGz+Ph4LBYLZcqUAfT7mJXbuY42+n0smvQsyBt6FuQNPQtyz5meA263tZc4nB9++IELFy4wZMiQbO8TFRWFh4cHZcuWzbC+YsWKREVF2bepUKFCpn0rVKhg36YwuZ3rCPDYY48RGBhIpUqV2Lt3L5MnT+avv/4iODgY0HX8p6tXrzJp0iQGDBhA6dKlAf0+ZuV2riPo97Eo07Mgb+hZkDf0LMg9Z3oOKKkoJBYsWECPHj2oUqVKro9lGEaGbDirzPif2xQWt3sdR4wYYf85KCiIWrVq0bx5c3bt2kXTpk0BXUeblJQUHnnkEdLT05k9e/Ytj6Xfx5xfR/0+Fl16FuQNPQvyhp4FuedMzwF1fyoETp06xW+//cbw4cNztF+lSpVITk4mLi4uw/ro6GgqVqxo3+bs2bOZ9j137px9m8Lidq9jVpo2bYq7uztHjhwBdB1tUlJS6NevHydOnCA4ODjDtyr6fczodq9jVory72NRomdB3tCzIG/oWZB7zvYcUFJRCCxatIgKFSrQq1evHO3XrFkz3N3d7U1hAJGRkezdu5c2bdoA0Lp1a+Lj49mxY4d9m+3btxMfH2/fprC43euYlX379pGSkkLlypUBXUe4dgM8cuQIv/32Gz4+Phne1+9jRrd7HbNSlH8fixI9C/KGngV5Q8+C3HO658BtDe8Wh5GWlmZUq1bNmDhxYqb3YmNjjdDQUOOXX34xAOPLL780QkNDjcjISPs2o0aNMqpWrWr89ttvxq5du4wuXbpkWbatYcOGxtatW42tW7cad955Z6Ep22aTm+t49OhR47XXXjP+/PNP48SJE8Yvv/xi1K1b12jSpImu4/9LSUkxevfubVStWtXYvXt3hhJ3SUlJ9u30+2iVm+uo38eiSc+CvKFnQd7QsyD3nPE5oKTCya1Zs8YAjEOHDmV6b9GiRQaQaXn11Vft21y5csV46qmnjHLlyhnFixc3/vWvfxlhYWEZjhMbG2s89thjRqlSpYxSpUoZjz32mBEXF5fPn6xg5eY6hoWFGR06dDDKlStneHh4GHfccYcxduxYIzY2NsNxivJ1tJVgzGqx1YA3DP0+2uTmOur3sWjSsyBv6FmQN/QsyD1nfA5YDMMwbq+NQ0RERERERGMqREREREQkl5RUiIiIiIhIriipEBERERGRXFFSISIiIiIiuaKkQkREREREckVJhYiIiIiI5IqSChERERERyRUlFSIiIiIikitKKkREREREJFeUVIhkYciQIVgslkxL9+7dzQ6twNx5550MHz48y/eWL1+Ou7s7Z8+eLeCoREQKjp4FehZI9impELmB7t27ExkZmWFZvnx5vp4zOTk5X4+fE8OGDeOrr77i8uXLmd5buHAh//rXv6hYsaIJkYmIFBw9C/QskOxRUiFyA56enlSqVCnDUrZsWfv7FouF+fPn06dPH0qUKEGtWrX48ccfMxxj//799OzZk5IlS1KxYkUGDhxITEyM/f1OnTrx1FNPMX78eHx9fenatSsAP/74I7Vq1aJ48eJ07tyZzz77DIvFwoULF7h06RKlS5fmm2++yXCun376CS8vLxITE7P9Gbds2UKHDh0oXrw4/v7+jB07lkuXLgEwcOBAkpKS+PrrrzPsExYWxtq1axk2bFi2zyMi4qz0LNCzQLJHSYVILrz22mv069ePv//+m549e/LYY49x/vx5ACIjI+nYsSONGzdm586drF69mrNnz9KvX78Mx/jss89wc3Nj8+bNfPLJJ5w8eZKHHnqIBx54gN27dzNy5Eheeukl+/ZeXl488sgjLFq0KMNxFi1axEMPPUSpUqWyFfuePXu499576du3L3///TcrVqzgjz/+4KmnngLAx8eH+++/P8vzVKxYkR49euT4eomIFEZ6FogAhohkMnjwYMPV1dXw8vLKsEybNs2+DWC8/PLL9tcXL140LBaLsWrVKsMwDGPKlClGt27dMhw3PDzcAIxDhw4ZhmEYHTt2NBo3bpxhm4kTJxpBQUEZ1r300ksGYMTFxRmGYRjbt283XF1djTNnzhiGYRjnzp0z3N3djfXr12f7Mw4cONB48sknM6zbtGmT4eLiYly5csUwDMNYtWqVYbFYjGPHjhmGYRjp6elG9erVjcmTJ2f7PCIizkrPAj0LJPvUUiFyA507d2b37t0ZljFjxmTYpmHDhvafvby8KFWqFNHR0QCEhISwbt06SpYsaV/q1q0LwLFjx+z7NW/ePMMxDx06RIsWLTKsa9myZabXDRo0YMmSJQB8/vnnVKtWjQ4dOmT784WEhLB48eIM8d17772kp6dz4sQJALp160bVqlXt31CtXbuWkydP8sQTT2T7PCIizkzPAj0LJHvczA5AxFF5eXlRs2bNm27j7u6e4bXFYiE9PR2A9PR07rvvPt56661M+1WuXDnDea5nGAYWiyXTun8aPnw4H330EZMmTWLRokU88cQTmfa7mfT0dEaOHMnYsWMzvVetWjUAXFxcGDJkCIsXL+a1115j0aJFdOjQgVq1amX7PCIizkzPAj0LJHuUVIjkk6ZNm/Ltt99SvXp13Nyy/0+tbt26rFy5MsO6nTt3Ztru8ccf54UXXuC///0v+/btY/DgwTmOb9++fbd8WD7xxBNMnz6d7777ju+++465c+fm6DwiIkWZngVSVKj7k8gNJCUlERUVlWG5vlrHrYwZM4bz58/z6KOPsmPHDo4fP86vv/7K0KFDSUtLu+F+I0eO5ODBg0ycOJHDhw/z1VdfsXjxYoAM3z6VLVuWvn378vzzz9ubpnNi4sSJbN26lTFjxrB7926OHDnCjz/+yNNPP51hu8DAQLp06cKTTz6Ju7s7Dz30UI7OIyLizPQssNKzQG5FSYXIDaxevZrKlStnWNq1a5ft/atUqcLmzZtJS0vj3nvvJSgoiGeeeQZvb29cXG78Ty8wMJBvvvmG7777joYNGzJnzhx7xQ9PT88M2w4bNozk5GSGDh2a6TidOnViyJAhNzxPw4YN2bBhA0eOHKF9+/Y0adKEKVOmZGiOv/48cXFxPPLII5QoUSKbV0BExPnpWZDxPHoWyI1YjKw66ImIQ3n99deZO3cu4eHhGdYvXbqUZ555hoiICDw8PDK8V716daZOnXrTh4mIiDgPPQvEkWlMhYgDmj17Ni1atMDHx4fNmzfzzjvv2GuGA1y+fJkTJ04wY8YMRo4cmekhcvDgQUqVKsWgQYMKOnQREckjehaIM1FLhYgDGjduHCtWrOD8+fNUq1aNgQMHMnnyZPsgv6lTp/L666/ToUMH/ve//1GyZEmTIxYRkbymZ4E4EyUVIiIiIiKSKxqoLSIiIiIiuaKkQkREREREckVJhYiIiIiI5IqSChERERERyRUlFSIiIiIikitKKkREREREJFeUVIiIiIiISK4oqRARERERkVxRUiEiIiIiIrnyf9D4tP8ndwlLAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pre_edge(data.energy,data.mu,group=data, # energy, intensity, and the group to treat\n", " pre1 = -100, # the lower bond of the function to fit the pre-edge\n", " pre2 = -20, # the upper bond of the function to fit the pre-edge\n", " norm1 = 50, # the lower bond of the function to fit the post-edge\n", " norm2= 600, # the upper bond of the function to fit the post-edge\n", " nnorm= 1, # degree for the polynomials\n", " nvict= 4 # energy exponent to use for pre-edge fit.\n", " )\n", "\n", "plt.figure(figsize=(8,4))\n", "plt.subplot(1,2,1)\n", "plt.plot(data.energy,data.mu,\"k-\")\n", "plt.plot(data.energy,data.pre_edge,\"b--\")\n", "plt.plot(data.energy,data.post_edge,\"g--\")\n", "plt.xlabel(\"Energy, eV\")\n", "plt.ylabel(\"$\\mu(E)$\")\n", "\n", "plt.subplot(1,2,2)\n", "plt.plot(data.energy,data.flat,\"k-\")\n", "plt.xlabel(\"Energy, eV\")\n", "plt.ylabel(\"$\\mu(E)$ normed flat\")\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can fit the pre-edge with different components. The XASViewer GUI provides [a way to do that easily](https://xraypy.github.io/xraylarch/wxxas_viewer.html#xasviewer-preedge), via a wrapper of the [lmfit](https://lmfit.github.io/lmfit-py/) library. There is a full page documenting the use of Larch built-in functions [here](https://millenia.cars.aps.anl.gov/xraylarch/downloads/xraylarch-2021-07_docs-examples/doc/fitting.html).\n", "\n", "In this notebook, we will directly use `lmfit` for having the highest level of control. First, we extract the pre-edge peak between 7108 and 7120 eV, which we extract from the treated signal:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_fit = data.flat[(data.energy> 7108)&(data.energy<7120)]-np.min(data.flat[(data.energy> 7108)&(data.energy<7120)])\n", "x_fit = data.energy[(data.energy> 7108)&(data.energy<7120)]\n", "\n", "plt.figure()\n", "plt.plot(x_fit,y_fit, 'k-')\n", "plt.xlabel(\"Energy, eV\")\n", "plt.ylabel(\"$\\mu$ normed flat\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use a combination of two pseudo-voigt peaks for the contribition of Fe$^{2+}$ and Fe$^{3+}$, and an exponential background. We thus define functions for those below:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def pv(x,A,F,L,m):\n", " \"\"\"pseudovoigt peak\"\"\"\n", " Lor = A/(1+((x-F)/L)**2)\n", " Gauss = A*np.exp(-np.log(2)*((x-F)/L)**2)\n", " \n", " return m*Gauss + (1-m)*Lor\n", "\n", "def bkg(x, a, b, xo):\n", " \"\"\"exponential background\"\"\"\n", " return a*np.exp(b*(x-xo))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use `lmfit` to perform the fit. We define the parameters in a dictionary, as explained in the help of `lmfit`. \n", "\n", "Given that this spectrum was acquired in situ, it is a bit more noisy than a glass spectrum acquired at room temperature. Considering this, several tweaks can be introduced to make the fit more robust: (i) the pseudovoigt peaks will share the width and the gaussian/lorentzian ratio, (ii) we assume that the position of the second peak is 1.5 eV higher than that of the first.\n", "\n", "Note that we scale the X axis such that it is close to unity during the fit, by removing 7108 eV. This is invisible to the user, but this scaling helps fitting the exponential background." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Variables]]\n", " A_1: 8.5787e-12 (init = 0.1)\n", " A_2: 0.09796189 (init = 0.1)\n", " F_1: 5.40470913 (init = 4.9)\n", " L_: 1.53310944 (init = 2)\n", " m_: 1.3148e-05 (init = 0.5)\n", " a_: 31.4805829 (init = 0.52)\n", " b_: 0.60566147 (init = 0.55)\n", " xo_: 19.9376661 (init = 10.5)\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, '$\\\\mu(E)$ normed flat')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from lmfit import Minimizer, Parameters, report_fit\n", "\n", "pfit = Parameters()\n", "pfit.add(name='A_1', value=0.1, min=0) # amplitude of peak 1\n", "pfit.add(name='A_2', value=0.1, min=0) # amplitude of peak 2\n", "pfit.add(name='F_1', value=4.9, min=0) # position of peak 1, scaled\n", "pfit.add(name='L_', value = 2.0, min=0) # half-width at half maximum of the peaks\n", "pfit.add(name='m_', value = 0.5, min=0, max=1) # gaussian/loretnzian ratio\n", "\n", "# parameters for the background.\n", "pfit.add(name='a_', value=0.52, min=0)\n", "pfit.add(name='b_', value=0.55, min=0)\n", "pfit.add(name='xo_', value=10.5, min=0., max=20.) #position of the background, scaled\n", "\n", "def residual(pars, x, data = None):\n", " peak1 = pv(x, pars['A_1'], pars['F_1'], pars['L_'], pars['m_'])\n", " peak2 = pv(x, pars['A_2'], pars['F_1']+1.5, pars['L_'], pars['m_'])\n", " background = bkg(x, pars['a_'], pars['b_'], pars['xo_'])\n", " \n", " model = peak1 + peak2 + background\n", " \n", " if data is None: # if we don't have data, the function only returns the direct calculation\n", " return model, peak1, peak2, background\n", " else:\n", " return model - data\n", "\n", "mini = Minimizer(residual, pfit, fcn_args=(x_fit-7108, y_fit))\n", "out = mini.leastsq()\n", "report_fit(out.params)\n", "\n", "# calculating the model given best parameters\n", "m_, p1_, p2_, b_ = residual(out.params, x_fit-7108)\n", "\n", "# plotting\n", "plt.figure()\n", "plt.plot(x_fit, y_fit, 'ko', label=\"data\")\n", "plt.plot(x_fit, m_, 'r-', label='best fit')\n", "plt.plot(x_fit, p1_, 'b:', label='peak 1')\n", "plt.plot(x_fit, p2_, ':', color=\"purple\", label='peak 2')\n", "plt.plot(x_fit, b_, '-.', color=\"orange\", label='background')\n", "plt.legend()\n", "plt.xlabel(\"Energy, eV\")\n", "plt.ylabel(\"$\\mu(E)$ normed flat\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the end of this example. Things can be complexified at will. Have a good time with Larch!" ] } ], "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": "3.11.3" } }, "nbformat": 4, "nbformat_minor": 4 }