From 88242fef858a027a19d8a88827983af17a2732c6 Mon Sep 17 00:00:00 2001 From: wolearyc Date: Thu, 29 Aug 2024 18:04:33 -0700 Subject: [PATCH] added molecular dynamics tutorial --- docs/source/guides.rst | 1 + .../source/notebooks/Molecular dynamics.ipynb | 292 + test/data/TiO2/MD_trajectory_XDATCAR | 109007 +++++++++++++++ test/data/TiO2/known_md_spectrum.npz | Bin 0 -> 8514 bytes test/tests/test_trajectory_spectrum.py | 66 + 5 files changed, 109366 insertions(+) create mode 100644 docs/source/notebooks/Molecular dynamics.ipynb create mode 100644 test/data/TiO2/MD_trajectory_XDATCAR create mode 100644 test/data/TiO2/known_md_spectrum.npz diff --git a/docs/source/guides.rst b/docs/source/guides.rst index 28df84c..a0a7a7b 100644 --- a/docs/source/guides.rst +++ b/docs/source/guides.rst @@ -7,6 +7,7 @@ Guides notebooks/Basic tutorial notebooks/Full tutorial + notebooks/Molecular dynamics notebooks/Masking io units diff --git a/docs/source/notebooks/Molecular dynamics.ipynb b/docs/source/notebooks/Molecular dynamics.ipynb new file mode 100644 index 0000000..6224444 --- /dev/null +++ b/docs/source/notebooks/Molecular dynamics.ipynb @@ -0,0 +1,292 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "81c543e7", + "metadata": {}, + "source": [ + "# Molecular dynamics" + ] + }, + { + "cell_type": "markdown", + "id": "388fd578", + "metadata": {}, + "source": [ + "So far, we have calculated Raman spectra using an approach based on phonons. However, in real systems motion is never perfectly harmonic. For many relevant systems, thermal motion of atoms is strongly anharmonic, meaning that the \"wiggles\" of the atoms are no longer well-described by phonons. \n", + "\n", + "To accurately calculate Raman spectra for these systems, we rely on molecular dynamics (MD). The tutorial will demonstrate how to calculate MD-based Raman spectra using ramannoodle, namely `Trajectory` and `InterpolationModel`. " + ] + }, + { + "cell_type": "markdown", + "id": "0b8f3299-8cf3-4c00-b2b2-fb514c3aeb0f", + "metadata": {}, + "source": [ + "First, our usual imports. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "3956373a-63a1-4128-b0f2-e2711b5a5213", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "import matplotlib_inline\n", + "\n", + "import ramannoodle.io.vasp as vasp_io\n", + "from ramannoodle.polarizability.art import InterpolationModel\n", + "from ramannoodle.spectrum.spectrum_utils import convolve_spectrum\n", + "\n", + "matplotlib_inline.backend_inline.set_matplotlib_formats('png')\n", + "plt.rcParams['figure.dpi'] = 300\n", + "plt.rcParams['font.family'] = 'sans-serif'\n", + "plt.rcParams[\"mathtext.default\"] = 'regular'\n", + "plt.rcParams['axes.linewidth'] = 0.5\n", + "plt.rcParams['xtick.major.width'] = 0.5\n", + "plt.rcParams['xtick.minor.width'] = 0.5\n", + "plt.rcParams['lines.linewidth'] = 1.5" + ] + }, + { + "cell_type": "markdown", + "id": "d7da690f-f4db-4509-8c89-014e7a49c83b", + "metadata": {}, + "source": [ + "Our final goal is to calculate TiO2's Raman spectrum. We will construct an interpolation model just as we did in the basic tutorial. " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6102769c-0416-497a-b6a9-e451b66ca71d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "InterpolationModel with \u001b[1;32;49m324/324\u001b[0m degrees of freedom specified." + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data_dir = \"../../../test/data/TiO2\"\n", + "ref_structure = vasp_io.poscar.read_ref_structure(f\"{data_dir}/POSCAR\")\n", + "\n", + "# We'll need the polarizability of the equilibrium structure. \n", + "_, equilibrium_polarizability = vasp_io.outcar.read_positions_and_polarizability(\n", + " f\"{data_dir}/ref_eps_OUTCAR\"\n", + ")\n", + "model = InterpolationModel(ref_structure, equilibrium_polarizability)\n", + "\n", + "# OUTCARS are polarizability calculation where atom 5 (Ti) \n", + "# was displaced +0.1 and +0.2 angstrom in the x direction\n", + "model.add_dof_from_files(\n", + " [f\"{data_dir}/Ti5_0.1x_eps_OUTCAR\", f\"{data_dir}/Ti5_0.2x_eps_OUTCAR\"],\n", + " file_format = 'outcar', interpolation_order=2)\n", + "\n", + "# atom 5 moving +0.1 and +0.2 angstroms in the z direction\n", + "model.add_dof_from_files([f\"{data_dir}/Ti5_0.1z_eps_OUTCAR\",\n", + " f\"{data_dir}/Ti5_0.2z_eps_OUTCAR\"],\n", + " file_format = 'outcar', interpolation_order=2)\n", + "\n", + "# atom 43 moving in the z direction\n", + "model.add_dof_from_files([f\"{data_dir}/O43_0.2z_eps_OUTCAR\",\n", + " f\"{data_dir}/O43_0.1z_eps_OUTCAR\", \n", + " f\"{data_dir}/O43_m0.1z_eps_OUTCAR\", \n", + " f\"{data_dir}/O43_m0.2z_eps_OUTCAR\"], file_format= 'outcar', interpolation_order=2)\n", + "\n", + "model.add_dof_from_files([f\"{data_dir}/O43_0.1x_eps_OUTCAR\",\n", + " f\"{data_dir}/O43_0.2x_eps_OUTCAR\"], \n", + " file_format = 'outcar', interpolation_order=2)\n", + "\n", + "model.add_dof_from_files([f\"{data_dir}/O43_0.1y_eps_OUTCAR\",\n", + " f\"{data_dir}/O43_0.2y_eps_OUTCAR\"],\n", + " file_format = 'outcar', interpolation_order=2)\n", + "\n", + "# We should now have specified all 324 DOFs\n", + "model" + ] + }, + { + "cell_type": "markdown", + "id": "2cfa12dd", + "metadata": {}, + "source": [ + "Our interpolation model is fully specified! Now, we read in an MD trajectory. " + ] + }, + { + "cell_type": "markdown", + "id": "9ea2fec2", + "metadata": {}, + "source": [ + "### High quality trajectory" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "533bd606", + "metadata": {}, + "outputs": [], + "source": [ + "from ramannoodle.dynamics.trajectory import Trajectory\n", + "\n", + "# This trajectory is not publicly available. Sorry! If you want to follow along in your # own notebook, scroll further.\n", + "trajectory = vasp_io.vasprun.read_trajectory(\n", + " f\"/Volumes/Untitled/md/TiO2/production.xml\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b1f2cb2c-8444-4b6a-ae8e-f1ac6c6a6e98", + "metadata": {}, + "outputs": [], + "source": [ + "# Compute spectrum\n", + "spectrum = trajectory.get_raman_spectrum(model)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "7d182420", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+/fvHhg0bunoZPU7//v27egkFjR8/vl33/f3vf4//+q//igceeKBd96e218sn1zlQxxxzTHq8YcOGmDt3bnqcCqD22WefGDx4cLz++uuRTCbj3nvvjWOPPTZ93YMPPhhNTU153wNUDwFUEYlEIvbaa6949NFH03Nz5swpOYBqfUhfRMRee+3V7fekBcpULIB65ZWISZO2zloAAADothKJRLfeKo7OMWjQoLLvuf3222PmzJnR2NjY7vc2NDQU/HzPPfeMkSNHxquvvhoRbbfTax0k9evXL6ZNmxYREb169YpDDz00/vCHP6Tvax1AZZ8nJYCC6iWAKsFRRx2VEUDdddddceKJJ5Z071133ZUx/sAHPlDRtQHdQCkBFAAAAFCVyt1+7p///Gcce+yxGeFTIpGI/fffP6ZNmxYTJkyIHXfcMfr27Rt9+/bNuPekk05KB0qlOOKII+I3v/lNREQ899xzsXz58thpp50iIjOQmj59emy33Xbp8ZFHHpkOoLIDp9b3DR06NKZOnVryeoCeRQBVgg9+8INx3nnnpcc33XRT/O///m/RQyPXr18fN910U8bc0Ucf3SlrBLpQsbPhBFAAAABAic4+++yM9tL+++8fP//5z0s6V77cnZdaB1ARb4RHJ510UkRkBkvZLabUdnwRbwRmS5cujZ133jnWrFkTTz75ZPqzQw89NGpqaspaE9Bz+L/+Euy1116x3377pccbNmyIyy67rOh9l112WWzcuDE9PuCAA2Ly5Mmdskagi6xbF7F+feFrWh0ACgAAAJDPhg0bYvbs2enxyJEj449//GNJ4VNExJo1a8p6X65zoCIiXnvttXjqqafS860Dp4i3tu/Lvu++++6LlpaWvM8HqktVBlCJRCLjn/vuu6/oPRdeeGHG+NJLLy14AOD9998f3/rWtzLmLr744natF+jGim2/F6EBBQAAAJTkiSeeyNh678QTT4yhQ4eWdO+LL75Y9NynbBMmTMg46z7Verr33nsjmUxGRMTgwYNjn332aXNv63ApdZ/zn4DWut0WfA8//HBs2rSpzfzTTz+dMd68eXPcfffdOZ8xatSoijeN3vOe98SMGTPiz3/+c0RENDU1xbvf/e649NJL49Of/nT0798/IiI2btwYP/7xj+Occ85JH9IXEfG+972vzd8UAHoAARQAAABQIdnnN73tbW8r+d7s8KdURx55ZPzsZz+LiIglS5bEiy++mPGsww47LHr16tXmvtbb9+UKoHbcccfYc88927UmoGfodgHUxz72sVi8eHHR61599dV417velfOzT37yk3HddddVeGURv/jFL+LAAw+MhQsXRsQbIdgXvvCFOOecc2LChAmRTCZjwYIFsXnz5oz7dt11105ZD9ANrFtX/BoBFAAAAFCCVOsopXUbqth9V199dbveecQRR6QDqIg3QqTUlnoRbbffyzW/dOnSuP/++2PevHnpucMPP7xd6wF6jqrcgq+9Ro4cGffee2+8853vzJjftGlTPPvsszFv3rw24dOUKVPi3nvvjR122GFrLhXYWurri19T5v7LAAAAQHXacccdM8YPPfRQSfddffXVGWc2lSN7m7xf/vKX8fzzz+f9PGX8+PExfvz49Pjcc88t+Fyg+gigyjR27Nh47LHH4lvf+laMGjUq73WjRo2Kyy67LB599NHYZZddtuIKga0qx5ah7boGAAAAqHr77LNP9OnTJz2++eabY86cOQXvuf322+N//ud/2v3OnXbaKSZOnJgetw69im2j1zpkyg7LBFBAt9uCb9GiRZ3+juwqa7n69OkTX/nKV+JLX/pSPP744/H000/HihUrIiJixIgRMWXKlJg6dWrU1Mj3oMcrpQHV0BDR3ByRY79kAAAAgJS6urqYOXNm+myl5ubmeO973xuXX355fOITn4i+ffumr33hhRfiyiuvjB/96EfR0tISI0aMiObm5li9enXZ7z3yyCPjueeeazNfLEQ68sgj46c//Wmb+XHjxsWECRPKXgfQs3S7AGpbUlNTE/vtt1/st99+Xb0UoKuU2m7avDmirq5z1wIAAABs8y666KKYPXt2rHvz3Ol169bFZz/72TjjjDNijz32iO222y6WL18eS5cuTd/Tq1evuO666+K0005rVwB1xBFHxP/93/+1mc93/lPr+8qZB6qLig5AR5TSgIqwDR8AAABQkl133TVuuummGDBgQMb85s2b45lnnom5c+dmhE99+/aNX/3qV/He97633e887LDDcu7mVCyAGjlyZM4t+gRQQIQACqBjSg2WBFAAAABAiWbMmBFz586ND3zgA3mv6d27dxx77LHx9NNPx/HHH9+h922//fYxZcqUjLkJEybE2LFji96bK6QSQAEREYlkRw9EYpuycePG9N+e2LBhQ9TZEgw65rTTIn74w+LXPf98xB57dP56AAAAqLgtW7bECy+8kDG3++67R+/eTreg8y1fvjwefPDBWLp0adTX18egQYNit912i2nTpsWQIUO6ennQJTrrz2Xfn1eW/1cSoCM0oAAAAIBOtNNOO8Vxxx3X1csAKJst+AA6whlQAAAAAABtCKAAOkIDCgAAAACgDQEUQEdoQAEAAAAAtCGAAugIDSgAAAAAgDYEUAAdoQEFAAAAANCGAAqgIzSgAAAAAADaEEABdIQGFAAAAABAGwIogI7QgAIAAAAAaEMABdARGlAAAAAAAG0IoADaK5nUgAIAAAAAyEEABdBemzeXfq0ACgAAAACoIgIogPYqJ1Qqdas+AAAAAIAeQAAF0F7lhEoaUAAAAABAFRFAAbRXOaGSAAoAAAAAqCICKID20oACAAAAAMhJAAXQXhpQAAAAAAA5CaAA2ksDCgAAAAAgJwEUQHtpQAEAAAAA5CSAAmgvDSgAAAAAgJwEUADtpQEFAAAAAJCTAAqgvTSgAAAAAAByEkABtJcGFAAAAABATgIogPYqtwGVTHbeWgAAAAAAuhEBFEB7ldtqamjonHUAAAAAAHQzAiiA9iqnARVhGz4AAAAAoGoIoADaq9xASQAFAAAAAFQJARRAe2lAAQAAAADkJIACaC8NKAAAAACAnARQAO1VbgOq3OsBAAAAALZRAiiA9rIFHwAAAABZxo0bF4lEIhKJRIwbN66rl9OlDjvssPSvRSKR6OrlsJUJoADayxZ8AAAAAAA5CaAA2quhobzrBVAAAAAAQJUQQAG0V2NjedcLoAAAAAC6tUWLFmVsGXfyySd39ZJgmyWAAmgvDSgAAAAAgJwEUADtVW4DavPmzlkHAAAAAEA3I4ACaK9yA6imps5ZBwAAAABANyOAAmivcgOocq8HAAAAANhGCaAA2ksABQAAAACQU++uXgDANksABQAAABSxfv36ePLJJ+P555+PtWvXRkNDQ/Tv3z+GDh0a48aNi8mTJ8fIkSM79I7GxsZ48MEHY8mSJfGvf/0r6urq4h3veEccfPDB0bt34a+AV61aFQ899FAsWLAgGhoaYsSIEbHffvvFXnvt1aE1pdb1yCOPxMKFC2PFihXRq1evGDFiROy+++6x//77R01NZfoRzz//fDz55JOxYsWK2LhxYwwfPjxGjRoVBx10UAwePLgi76ikFStWxIMPPhgLFy6MpqamGD58eEyePDkOOOCA6NWrV4ef39zcHH/729/ixRdfjBUrVkRDQ0PssMMOMX78+Jg+fXpst912HX7HwoUL49FHH41ly5ZFU1NT7LjjjrHvvvvG29/+9g4/m55DAAXQHslk3kCpMSL65PxAAAUAAADV4oknnoiLL744Zs+eHY1FvhMYP358vP/974/TTjstJk+e3ObzCy64IGbNmpUe33vvvXHYYYfF2rVr48ILL4yf//zn8dprr7W5b8cdd4xvfOMb8R//8R9tPluwYEGcc845cfPNN8eWLVvafP6Od7wjfvCDH8RBBx1Uyr9uhoULF8bXv/71uPXWW2P9+vU5rxk+fHiceOKJ8fWvfz2GDx9e9jsaGhri+9//fvzwhz+Ml156Kec1vXv3jkMPPTQuuOCCov8e48aNi8WLF7eZ//nPfx4///nP89537bXXxsknn1zSmv/5z3/G2WefHbfeemu0tLS0+XzYsGHx1a9+NT7/+c9HbW1tSc9sbdGiRXHRRRfFLbfckvO/h4iI/v37x4c//OG48MILY/z48WW/45FHHokvfelLMWfOnJyf77nnnnHhhRfGhz/84bKfTc9jCz6A9sjxP8xSNuT7oKmpU5YCAAAAdC+XXnpp7LfffvH73/++aPgU8UZgc9VVV8Wvf/3rkt/xz3/+M/bee++48sor84YN//rXv+JTn/pUfOlLX8qYnz17dkyZMiVuvPHGnOFTRMTf//73OPzww+N3v/tdyWuKiPjud78bEydOjOuvvz5v+BTxRvPq+9//fuy6665x8803l/WOZ599NiZPnhxf/vKX84ZPERFbtmyJe+65Jw4++OD41Kc+FU1d+N3Mb3/725gyZUr8/ve/zxk+RUSsXr06zjzzzDjmmGNi8+bNZT3/4osvjre97W3xs5/9LO9/DxER9fX1cf3118fEiRPjpz/9aVnvuPDCC+Oggw7KGz5FvPF7M3PmzPjv//7vSCaTZT2fnkcDCqA9GhryfrQhIrbP9YEGFAAAAPR4P/3pT+Occ85pMz9w4MAYN25c1NXVxaZNm+K1116LpUuXtutL+lWrVsXJJ5+cbuwkEomYMGFCbL/99rFy5cpYtGhRxvXf+c53YurUqfHRj3407r///vjwhz+cDsa22267GD9+fAwYMCCWLFkSK1asSN+3ZcuWOOmkk2LKlCmx6667Fl3XeeedFxdffHGb+SFDhsTYsWOjubk5Fi1aFBs2vPXXd9etWxfHHXdc/PjHP87Z1Mr2t7/9LWbMmBFr1qzJmK+trY1x48bF4MGD45VXXolXXnkl4/Nrr702li9fHrfeemv06ZNz75pOM3v27DjhhBOiubk5vdbx48fHkCFDYsWKFW1+v2bPnh1f+cpX4n//93+LPru5uTlOOeWUnC2tYcOGxejRo6NPnz6xfPnyWLZsWfqzxsbGOPXUU2PdunXxxS9+seh7vvGNb8T555/fZn777bePsWPHRkNDQyxcuDA2bdoUERHf//73Y8SIEUWfS8+WSIohq8rGjRtjwIABERGxYcOGqKur6+IVwTbqtdcihg3L+dG8iGhblo+Iz3wm4kc/6sxVAQAA0Am2bNkSL7zwQsbc7rvvXvRsnVYPiFi6tBNWRoadd44o9fekkzQ0NMSoUaMyGigzZ86Mc845J6ZOnRqJRCLj+vXr18fcuXPjjjvuiOuvvz5OPfXUnAFO9hZ848aNi0WLFkXfvn3jrLPOitNOOy3jHKnnnnsuPve5z8X999+fnhs1alQ88cQTMWXKlPjXv/4Vo0aNiksuuSQ+8pGPpL8jTCaTcffdd8cpp5wSL7/8cvreD3/4w0WbULfddlt88IMfzJh7+9vfHt/+9rfj3//939NnGzU2Nsatt94aZ555ZsY7+vTpE3Pnzi149tT69etjr732yghs+vfvHxdccEGccsopsf32b/2V4GeeeSbOP//8uOWWWzKecdZZZ8Wll17a5tkPP/xwbNq0KV599dU46aST0vMzZsyIL3/5y3nXtOeee8ZOO+2UMdd6O78hQ4ZEIpGINWvWxM477xwXXnhhHHvssTFw4MD09S+88EJ88YtfjNmzZ6fnampq4plnnok999wz77sjIs4///y48MIL0+Pa2to4/fTT4zOf+Uyb7RxfeumluPzyy+Oaa65JB5+9e/eO+++/P6ZNm5b3HXPmzImDDjooIyydOnVqfOc734lDDz00/d91fX193HDDDfGVr3wlVq9eHb17946RI0dmBF+ViiM6/OdyHr4/rywBVJXxf0BQIf/6V0TW/7hIeSwi9s/1wcknR1x7bScuCgAAgM7Q4S86Fy2KaMdZK5Rp4cKIceO6dAl33HFHvP/970+PP/GJTxQ8P6i1xsbGWLp0aUyYMKHNZ9kBVEREXV1d3HHHHXHIIYfkfN6mTZtiv/32i2effTY9N2nSpJg/f35MmjQp7r777hg1alTOe5977rmYMmVKNLy5A0xtbW0sW7Ysdthhh5zX19fXx4QJE+LVV19Nz73rXe+K2267Lbbbbruc96xZsyYOPfTQ+Pvf/56emzJlSjz55JM5r4+I+PznPx9XXXVVejx48OC49957Y++99857z7nnnhuXXHJJelxTUxNz586NqVOn5rx+0aJFGWcjffKTn4zrrrsu7/NzyXWe1NSpU+OPf/xj3l/D5ubmOOqoo+KPf/xjeu4LX/hCXHnllXnfM2fOnDj44IPTW/oNHz487rzzzth3330Lru///b//Fx/96EfT9+21117x9NNP57y2paUl9tprr4z/jt73vvfFLbfckvecqsWLF8f06dMzgqcUAVR1cQYUQHsU2E4v7xlQtuADAACAHu2f//xnxvj0008v+d4+ffrkDJ/y+fa3v503fIqI6NevX5x33nkZc/Pnz48+ffrEjTfemDd8ioiYOHFifPKTn0yPm5qa4u677857/fXXX58RPo0aNSp++9vf5g2fIiKGDh0af/jDH6Jfv37puaeeeiruueeenNevXbs2fvazn2XM/fSnPy0YPkW8cTbSe9/73vS4paWlYKjTGQYNGhQ333xz3vApIqJXr15t1nXnnXcWfO6FF16YDpFqamri1ltvLRo+RUQcf/zxceaZZ6bHzzzzTN7f37vuuisjfNppp53ihhtuyBs+RUSMHTs2brjhhqLroOcTQAG0R3sCqC486BIAAADofKnzb1IKfUnfEWPGjIlPf/rTRa97//vfHzU1mV8BH3fccfH2t7+96L1HH310xrhQM+knP/lJxnjWrFkxaNCgou8YN25cnHHGGRlz11xzTc5rf/3rX0d9fX16PH369Jg5c2bRd0REXHHFFRnjG2+8MV5//fWS7q2Ez33uczF27Nii102cODFjC8IXXngh47ys1ubPnx9/+tOf0uPjjz++4DZ62c4666yMtlC+LRazQ79zzz03Y/vAfA466KD40Ic+VPJ66JkEUADtoQEFAAAAZMluFV1//fWd8p5jjjkmfaZSIQMGDIhxWdsSHnvssSW94x3veEfGeMmSJTmv27BhQzzxxBPpcf/+/eOEE04o6R0REZ/61Kcyxg8++GDO61qfZ5XrvkImTpyYEc40NjbGX//615Lv76jjjz++5GunTJmS/nlLS0vObewi2rajPv7xj5e1pmHDhsU+++yTHuf7db/vvvvSP6+trS3r9/bkk08ua030PAIogPYQQAEAAABZjjjiiIxg6Morr4zTTz89FixYUNH3tA4Oihk2bFjGON/ZR8XuW7duXc7r/va3v0Vzc3N6vN9++6XP0CnF7rvvHrvsskt6vHz58jbnJ0VEPProoxnjI444ouR3REQceeSRGeOtFUDV1tbGO9/5zpKvHzFiRMY4X1MrOzAqZeu9bGPGjEn//LnnnmtzPtPixYtjxYoV6fFee+0V22+/fcnPP/TQQ8teEz2LAAqgPQRQAAAAQJZddtmlTTPn6quvjl133TX23XffOPvss+OOO+6I1157rUPvKXSWULb+/fu3697s+7K3F0zJDotabyFXquyAJrttlUwm4+WXX06PBw0a1KbZ1dF3dJbtt9++pLZaSl1dXcY436/7/PnzM8YjRoyIRCJR1j833XRT+v7m5uY2IePChQszxqVs3djakCFDMsJFqk/v4pcA0EZDQ96PNub7QAAFAABQnXbeOSLri1w6wc47d/UKIiLif//3f+Nf//pX3HbbbRnzjz/+eDz++OPxrW99KxKJRLzzne+M9773vfGxj30s9txzz7Le0bdv33avr733ZrdjUtasWZMxHj58eNnPzr4n+5mvv/56tLS0pMfZ7axKvKOzdOT3KiL/r/vq1as79NxcXn/99Rg8eHB6vHbt2ozP2/PrPmzYsIzwkOoigAJojzxhUktE5P57KRHR1NRZqwEAAKA76907osy2Btuuvn37xq233ho33HBDXHbZZfHUU0+1uSaZTMZTTz0VTz31VHzzm9+M97///fHd7343dtttt62/4A7asCFzL5jsBk8psu9Zv379Vn/HtiY7HKqE1iFfRNtf9+xWXCna83tFzyGAAmiPPAFUY0Tk7UZpQAEAAEBVSCQSceKJJ8aJJ54Y8+bNi7vuuivuu+++eOihh2LVqlVtrp89e3Y88MADMXv27Dj44IO7YMXtl33e08aNefeGySv7noEDB271d2xr+vfvn7Fl3p133hm9e3fs6/4dd9wxY5wdHtXX15f9zPb8XtFzCKAA2qNAAJU3ZhJAAQAAQNWZPHlyTJ48Oc4444xIJpPx3HPPxZ///Of47W9/Gw899FD6uvXr18exxx4bL730UpvApTsbOnRoxrg9W8Nlh3LZzxw8eHDU1NSkGzqd8Y5tzfDhwzMCqKlTp8aIESMq+o4hQ4ZkjHOFp8V0xlaBbDtqunoBANukPGFSQwigAAAAgNwSiURMmjQpzjjjjHjwwQfjgQceyDibaMWKFfHLX/6yC1dYvrFjx2aMn3766bKfkX1P9jMTiUTssssu6fG6deti0aJFFX3Htmb8+PEZ4xdffLHi75gwYULG+B//+EdZ969du9b5T1VOAAXQHgUaUHlPehJAAQAAAK0cfPDBcemll2bMtW5FbQv23Xff6NWrV3o8d+7cNmcHFfLiiy9mhBQ77bRTjBkzps11BxxwQMb4L3/5S1nrzL4++3kpNTWZX5knk8my3rO1HH744Rnjcn89SjF27NiMVtXf//73eO2110q+//7776/4mti2CKAA2qM9W/A15Y2mAAAAgCo1ffr0jHF7tjnrSgMGDIh99tknPa6vr48bb7yx5Pt/9rOfZYwPPfTQnNdlz1933XUlv+P555+Phx9+OD3ebrvt4t/+7d9yXluJc4+2hve85z0Z42uuuSaaOuG7p9a/7k1NTXHDDTeUfG85v0f0TAIogPZoaMg57QwoAAAAoBw94WyiU089NWP89a9/vaQW1OLFi+N73/textynP/3pnNeeeOKJGeHQgw8+GLfccktJ6zvzzDMzxscdd1wMHjw457WDBg3KaHQtXLiwpHdsbfvss09GC+rll1+Oc889t+Lv+dSnPpUxvvjii2P9+vVF73vooYdK/v2h5xJAAbRHexpQAigAAADo0c4777y4/vrrY8uWLSVdn0wm4zvf+U7GXOs20bbiYx/7WIwcOTI9XrZsWRx33HHRWOC7kLVr18bRRx+d0TDae++944gjjsh5/ZAhQ9qEIZ/61KfimWeeKbi2888/P2bPnp0e19TUxBe/+MW819fW1sYee+yRHj/11FPx0ksvFXxHV7nooosytgy87LLL4sILLyxr28ClS5fGl7/85Zg7d27Oz2fMmBGTJk1Kj5cvXx4nnHBCwbbV4sWL44QTTih5DfRcAiiA9hBAAQAAAFn+/ve/x8c//vEYPXp0nHbaafHHP/4xVq9e3ea6lpaWeOihh2LGjBkZLZH+/fvHRz/60a244sro379//PjHP86Yu/POO2P//fePu+66K1paWtLzjY2N8bvf/S6mTJkSTz/9dHq+T58+Rbdsu+SSS2LcuHHp8Zo1a2LatGnxne98J9asWZNx7T/+8Y+YOXNmXHjhhRnzX/7yl2Pvvfcu+J4ZM2akf97c3ByHHHJIzJo1K37/+9/HXXfdFXfffXf6n+XLlxd8VmeaPn16XHLJJRlz559/fuy3335xww03tPk1iXjj32f+/PlxzTXXxLvf/e4YP358fPvb346NGzfmfEdNTU386Ec/ikQikZ6744474sADD4z77rsvI+yqr6+Pa6+9Nvbdd99YtmxZ9O7dO0aPHl2hf1u2Rb27egEA2yQBFAAAAJDHihUr4oc//GH88Ic/jIiInXbaKYYPHx51dXWxcePGWLhwYc4t6r7zne9ss1/Yf+ADH4hzzz03Lr744vTc008/HTNmzIihQ4fG2LFjo7m5ORYtWtRmC7eampr44Q9/GHvttVfBdwwcODBuuummmDFjRjpc2bhxY3zpS1+Kc845J8aPHx+DBg2K5cuXx7Jly9rc/573vKdNIJXL6aefHj/60Y9i8+bNERHxyiuvxAUXXJDz2muvvTZOPvnkos/sLGeffXasWLEirrzyyvTc448/HieeeGLU1NTEmDFjYtiwYRHxRuts+fLlZZ9rdfDBB8esWbPi61//esY7Dj/88Bg2bFiMHTs2GhoaYsGCBbFp06b0NRdccEHcddddOX8vqA4CKID2KBBA5S0gNzdHtLRE1CifAgAAQDVZvnx5waZMv3794sorr4zPfvazW3FVlXfRRRfFsGHD4qyzzsrYfm/NmjU52zgRb5y5dO2118aHP/zhkt6x7777xgMPPBBHH310LFiwID3f1NQU//znP/Ped/LJJ8c111wTtbW1Rd+xxx57xC9/+cv4j//4j5LOsupqV1xxRUyZMiXOOOOMWLt2bXq+paUlFi1aFIsWLSp4/8CBA2PIkCEFrznvvPNiy5YtcdFFF2W0nlavXp2z5fff//3f8bWvfS3uuuuucv5V6GF8CwrQHnkCqIYo0ICKiCiwPy4AAACwbfvxj38cP/vZz2LmzJkZZyLls/3228fnPve5mD9//jYfPqV84QtfiPnz58dJJ50UAwYMyHvdsGHD4vOf/3y8+OKLJYdPKW9/+9tj3rx5cfnll8eECRPyXte7d+848sgj48EHH4xrr722pPAp5dhjj41//vOfcemll8a73/3u2GWXXWLAgAEZW9F1J5/4xCdi0aJFcdFFF2WcYZXP0KFD49hjj41f/OIX8a9//SumTJlS9J5Zs2bFgw8+GAceeGDeayZNmhS/+93v4nvf+145y6eHSiTLOZGMbd7GjRvTf/Bv2LAh6urqunhFsI360pcisg4JjYi4PSLOj4jH8923bl3EwIGduDAAAAAqbcuWLfHCCy9kzO2+++7Ru7fNhShs4cKF8fzzz8fixYvj9ddfj8bGxhgwYEDssMMO8Y53vCMmT57co/87amxsjDlz5sTChQtj5cqVUVNTEyNGjIg99tgj9t9//6ip0C4xzz33XDz55JOxYsWKqK+vj2HDhsXo0aPjoIMOisGDB1fkHduaZcuWxdy5c2PFihWxevXqqKmpiUGDBsXo0aNj0qRJseuuu3bo13/BggXx17/+NV555ZVoamqKHXfcMfbdd994xzveUcF/i/w6689l359XVs/90w2gM7XnDKgC9wEAAAA9z/jx42P8+PFdvYwu06dPnzjssMPisMMO69T3TJw4MSZOnNip79jWjB49ulPPE5swYULB9hlE2IIPoH0aGnJOC6AAAAAAAARQAO1ToAFV8JQnARQAAAAAUAUEUADt0d4t+JoKxlMAAAAAAD2CAAqgPZwBBQAAAACQlwAKoD0EUAAAAAAAeQmgANojT5DUEAIoAAAAAAABFEB7FGhAFTzlSQAFAAAAAFQBARRAexQIoLYUuq+pYDwFAAAAANAjCKAA2qOhIed0Kpba0qtX7vs0oAAAAACAKiCAAmiPAg2oiIhmARQAAAAAUMUEUADtIYACAAAAAMhLAAXQHgIoAAAAAIC8BFAA7VEsgKrJ88drU1PnrAcAAAAAoBsRQAG0R3sDKA0oAAAAAKAKCKAA2iNPkNTw5o9bbMEHAADQYyQSiTZzyWSyC1YCQERES0tLm7mafH8hnC7jdwSgPTSgAAAAqkauLzWbbLEO0GWy/wxOJBI5/7IAXUsABdAeDQ05p1Px0hYBFAAAQI+RSCSiT58+GXMbNmzootUAsG7duoxxbW2tAKobEkABlKulJWLLlpwfFQ2g/A05AACAbdLAgQMzxuvWrbMNH0AX2LJlS5sAavDgwV20GgoRQAGUq0CIpAEFAADQM2UHUE1NTbFs2TIhFMBW1NjYGIsXL25zBpQAqnvq3dULANjmFAiRBFAAAAA9U9++faO2tjbj3JH169fHSy+9FIMGDYoBAwZE7969c54XBUD7JJPJaG5ujvr6+tiwYUPU19e3Cf7r6uqitra2i1ZIIQIogHKVEkDl23NWAAUAALBNSiQSMWrUqFiyZEnGl59NTU2xevXqWL16dReuDqA61dbWxsiRI7t6GeThr2QAlEsDCgAAoCr1798/xowZ46B7gG5gu+22i7Fjx8Z2223X1UshDwEUQLkKhEgNb/6YtwFV4PwoAAAAur9UCGW7J4CuM3DgwBg7dqw/i7s5W/ABlKuEBlSTLfgAAAB6rP79+8euu+4aDQ0NsW7duli/fn00+v/vAXSaXr16xYABA2LAgAFRV1cXvXr16uolUQIBFEC5GhryfpQOoGzBBwAA0KMlEono27dv9O3bN0aMGBHJZDJaWloyzocCoGMSiUTU1NTY+nQbJYACKJcGFAAAAFkSiYS/kQ8ArTgDCqBcJQRQec+AEkABAAAAAFVAAAVQrhICqEYBFAAAAABQxQRQAOXKEyI1R0TLmz/fku/epqZOWBAAAAAAQPcigAIoV54AqnW0pAEFAAAAAFQzARRAubbk7jc15fl5BgEUAAAAAFAFBFAA5cqzjV5GAKUBBQAAAABUMQEUQLnyNKBaz+aNmQRQAAAAAEAVEEABlKtAA6q2tjYiIhqTybLuBQAAAADoSQRQAOUq0IDq3bt3RNiCDwAAAACobgIogHKV0IBqyNeAamjopEUBAAAAAHQfAiiAcpXSgCrzXgAAAACAnkQABVCuEhpQTc6AAgAAAACqmAAKoFwlNKAa8wVQGlAAAAAAQBUQQAGUq0ADqugWfBpQAAAAAEAVEEABlKtAA6roFnwaUAAAAABAFRBAAZSrhAZUQ0tL7nu3bInIF04BAAAAAPQQAiiAcpXQgCrYc9KCAgAAAAB6OAEUQLkKNKBSAVTeBlSEAAoAAAAA6PEEUADlKtCASm3Bl/cMqIi8ARYAAAAAQE8hgAIoVwkNqMZCAZQGFAAAAADQwwmgAMpVQgOq4BZ8GlAAAAAAQA8ngAIoV4EGVElb8GlAAQAAAAA9nAAKoFwFGlCpLfg0oAAAAACAaiaAAihXCQ2oRgEUAAAAAFDFBFAA5epoA8oWfAAAAABADyeAAihXgQZUKoDSgAIAAAAAqpkACqBcBRpQqS34NKAAAAAAgGomgAIolzOgAAAAAAAKEkABlEsDCgAAAACgIAEUQLlKOAOqobm57PsBAAAAAHoKARRAuQo0oFIBVHNLS0SvXrnvF0ABAAAAAD2cAAqgXCWcAdXS0hLxZhjVhi34AAAAAIAeTgAFUK5SGlDNzRFvhlFtaEABAAAAAD2cAAqgXBpQAAAAAAAFCaAAylVCA6qlpSWSGlAAAAAAQJUSQAGUq0ADqrZ160kDCgAAAACoUgIogHIVaED1bt16yhdAaUABAAAAAD2cAAqgXCWcARURkezVq6z7AQAAAAB6CgEUQLk62oCyBR8AAAAA0MMJoADKVeIZUBpQAAAAAEC1EkABlKtAAyojgGrdhirhfgAAAACAnkIABVCuEs+ACg0oAAAAAKBKCaAAyqUBBQAAAABQkAAKoFwFGlC9evWKRCIREc6AAgAAAACqlwAKoBwtLRHJZM6PtkREIpGImpo3/mjN24ASQAEAAAAAPZwACqAcBcKjpoioqamJXm82n1pswQcAAAAAVCkBFEA5CoRHW+KNACrdgLIFHwAAAABQpQRQAOUoowGVN4DSgAIAAAAAejgBFEA5SmhApbfg04ACAAAAAKqUAAqgHCU0oIpuwacBBQAAAAD0cAIogHKU04CqyfNHrAYUAAAAANDDCaAAylFGA6qld++ynwEAAAAA0BMIoADKUYkGlC34AAAAAIAeTgAFUI4iDahEIvFWAJXvDCgNKAAAAACghxNAAZSjhAZUegu+fAGUBhQAAAAA0MMJoADKUcIZUOkGVCJR9jMAAAAAAHoCARRAOTSgAAAAAACKEkABlKOcBlRNnj9iNaAAAAAAgB5OAAVQjgLtpebIDKCaBVAAAAAAQJUSQAGUI094lJrN2IIvXwBlCz4AAAAAoIcTQAGUI0941JxIRIQGFAAAAABAhAAKoDxFGlCJROKtM6De/LENDSgAAAAAoIcTQAGUo4QGVGoLvtRcGxpQAAAAAEAPJ4ACKEcJZ0AV3YJPAwoAAAAA6OEEUADl0IACAAAAAChKAAVQjko0oARQAAAAAEAPJ4ACKEeeBlRqNiOAyteAsgUfAAAAANDDCaAAylFCAyq1Bd8WDSgAAAAAoEoJoADKUU4DqsxnAAAAAAD0FAIogHLkaS+lIqVEIpFuQDkDCgAAAACoVgIogHLkaS+13oIv1YDa4gwoAAAAAKBKCaAAylHCGVDpLfgKBVDJZCcsDgAAAACgexBAAZSjhDOgUlvw5W1AFXgOAAAAAEBPIIACKEcZDaiCEZMACgAAAADowXp39QJK8dJLL8Vjjz0WS5cujcbGxhg6dGhMnDgxpk2bFn379u2yda1duzbmzp0bCxcujLVr10ZLS0sMHjw4dt5559hvv/1ixx137LK1AZ0kXwPqzS31Sm5ANTVF9OtX8eUBAAAAAHQH3TqAuuWWW+Kiiy6KJ554IufnAwYMiJNPPjnOP//8GD58+FZb18033xxXXXVV3HfffZEscI7L3nvvHZ/73OfiU5/6VPTu3a1/qYFS5WlANb75owYUAAAAAEA33YKvoaEhTjrppDjmmGPyhk8RERs2bIirrroqJk+eHA888ECnr2v16tXx/ve/P2bOnBn33ntvwfApIuLJJ5+Mz372s3HAAQfEiy++2OnrA7aCEhpQ6QCqWAMKAAAAAKCH6nYBVEtLSxx//PHxq1/9KmO+V69eMX78+JgyZUoMHjw447OVK1fGe9/73njkkUc6bV3r1q2LGTNmxB133NHmsx122CGmTp0a++yzT85t9x5//PE4/PDDY9GiRZ22PmArKaEBld6Cr9BzNKAAAAAAgB6s2wVQl19+edx6660Zc5/73OdiyZIlsWDBgnjyySfjtddei5tvvjnGjBmTvqa+vj6OO+64eP311ztlXV/96lfbtLE++MEPxhNPPBErVqyIxx9/PP72t7/F8uXLY968efGxj30s49qlS5fGZz7zmU5ZG7AVFWlAJRKJdAOqYMdJAwoAAAAA6MG6VQC1evXquOSSSzLmvvnNb8bVV18do0aNSs/V1NTEMcccE3PmzIlx48al55cuXRpXXHFFxde1YsWK+OEPf5gxd9ppp8Wtt94ae++9d5vrJ02aFNdff31ceOGFGfN33XVXp7a0gK2gnAaULfgAAAAAgCrVrQKoyy67LNavX58eH3LIIXHWWWflvX706NHxk5/8JGPuyiuvjNWrV1d0Xbfffns0NzenxzvssEN8+9vfLnrf1772tZg0aVLG3G233VbRtQFbWb4G1Js/ZpwB1Y7nAAAAAAD0BN0mgGppaYlrr702Y+6CCy6IRKEGQUQceeSRcfDBB6fH69evjxtvvLGia3v++eczxu9+97ujf//+Re9LNbVae/HFFyu6NmAry9NcSs22DqBswQcAAAAAVKtuE0DNmTMnVq5cmR5PmDAhDjvssJLuPeWUUzLGt9xySwVXFvHaa69ljHfZZZeS7219TlVExNq1ayuxJKCrlNCASm/B147nAAAAAAD0BN0mgJo9e3bG+F3velfR9lPra1u77777YuPGjRVb2+DBgzPGmzZtKvne7GuHDx9ekTUBXUQDCgAAAACgqG4TQD311FMZ42nTppV876hRo2LcuHHpcWNjY8ybN69CK4uYMmVKxnju3Lkl3/vYY49ljPfff/9KLAnoKs6AAgAAAAAoqtsEUPPnz88YT548uaz7s6/Pfl5HHHXUUVFXV5ceP/zww/HII48Uve/FF1+M3/3ud+lx375946Mf/WjF1gV0gRIaUKkt+BqTybKfAwAAAADQE3SLAGrTpk2xZMmSjLlyzlnKdf3zzz/f4XWlDBkyJL761a9mzM2cObNgE2r+/Pnxvve9LxobG9NzF198cYwYMaJi6wK6QJEGVCKRSDegmltaIt78eRsCKAAAAACgB+vd1QuIiFi1alUkWzUFamtryw5qRo8enTFesWJFRdaWcvbZZ8ezzz4bv/71ryMiYvny5XHggQfG+9///pgxY0aMHTs2EolELFu2LP7yl7/EzTffHE2tvmA+++yz48wzz6zomlasWBErV64s6576+vqKrgGqThkNqJaWlojevSOam9veYAs+AAAAAKAH6xYB1IYNGzLG/fv3j0QiUdYzWm+Rl+uZHVVTUxPXX399TJs2LWbNmhUrV66M5ubm+MMf/hB/+MMf8t43ffr0mDVrVhx55JEVXU9ExA9+8IOYNWtWxZ8LFFDGGVDNzc0RtbURDQ1tb9CAAgAAAAB6sG6xBV92WNS3b9+yn9GvX7+Cz6yERCIR//mf/xlPPPFEHHXUUUWvnz59epx55plx+OGHV3wtQBcpoQGVCqDSDahcNKAAAAAAgB6sWwRQmzdvzhj36dOn7Gdst912GeNNmzZ1aE25bNy4Mf7nf/4n9thjj7j99tuLXv/www/Hhz/84dhzzz3jr3/9a8XXA3SBEhpQqS340g2oXDSgAAAAAIAerFtswZfdeGpsbCz7GQ1ZW1y1p0VVyCuvvBJHHnlkPPfcc+m5t73tbXHGGWfEEUccETvvvHPU1NTE8uXL48EHH4zvf//78fjjj0dExHPPPRcHH3xw3HTTTfGhD32oYms6/fTT4yMf+UhZ99TX18f+++9fsTVA1SnSgEokEplb8GlAAQAAAABVqFsEUAMGDMgYZzeiSpHdeMp+Zkds3rw5ZsyYkRE+nXrqqfF///d/bdpaEyZMiAkTJsQnPvGJOO+88+KSSy6JiIgtW7bEiSeeGE888URMmjSpIusaMWJEjBgxoqx7Nm7cWJF3Q9Uq0IBKJBKRSCTSDaiWlhYNKAAAAACgKnWLLfiyw6L6+vpIJpNlPSM7WKlkAPWtb30rnn322fT4iCOOiB/96EcFtwpMJBJx8cUXx8c//vH03ObNm+PMM8+s2LqALlCgAZUKnkpqQAmgAAAAAIAerFsEUMOHD49EIpEeNzU1xYoVK8p6xrJlyzLG5TaD8mlubo6rrroqY+7iiy9Of9FczCWXXJJx7R//+Md4+eWXK7I2oAsUaUBFvBVAFWxANTd3xuoAAAAAALqFbhFA9evXL8aMGZMxt2TJkrKekX39xIkTO7yuiIhnnnkmVq1alR4PHz48DjjggJLv32WXXeKd73xnepxMJuOhhx6qyNqALlBCAyr1ozOgAAAAAIBq1S0CqIi2gdG8efPKun/+/PkFn9deCxcuzBiPGzcuo61VivHjx2eMs9tawDakQAOqrC34BFAAAAAAQA/WbQKoKVOmZIznzJlT8r3Lly+PRYsWpce1tbUxefLkiqyroaEhY9w735fJBdRmbcHVbOst2HaV0YBqaWkRQAEAAAAAVanbBFBHHXVUxvjuu++OZDJZ0r1//vOfM8aHH354DBgwoCLrGjZsWMb4lVdeKfsZ2Y2nHXbYoUNrArqQBhQAAAAAQFHdJoCaNm1aDB8+PD1esGBB3HfffSXd+9Of/jRjfPTRR1dsXePGjcsYL1myJF566aWS71+/fn3MnTs3Y27XXXetxNKArlBCAyoVQGlAAQAAAADVqtsEUDU1NXHyySdnzM2aNatoC+qee+6JBx98MD0eOHBgHHfccRVb1x577BE777xzxty3v/3tku+/4oorMrbx69+/fxxwwAEVWx+wlZXQgEr9qAEFAAAAAFSrbhNARUScddZZGVvn3X///fGtb30r7/XLli2LU089NWPujDPOyGhS5ZJIJDL+Kda0OumkkzLGP/rRj+IXv/hFwXsiIm677ba4+OKLM+ZOOOGE2G677YreC3RDzc0ReULxXA0oARQAAAAAUK26VQA1fPjw+OpXv5oxd84558Tpp5+ecfZSS0tL3HLLLTFt2rRYtGhRen7UqFFx5plnVnxdX/nKV2L77bdPj5PJZHzyk5+M//iP/4hnn322zfUvvvhifP7zn48PfehDsaXVl8z9+/ePr3/96xVfH7CVFAiNcjWgCm7Bl2crPwAAAACAniDPN6Nd56yzzoo5c+bE7bffnp67+uqr45prromxY8fG4MGDY+HChbF27dqM+/r16xc33nhjDBkypOJrGjp0aPz+97+PGTNmZGynd91118V1110XI0aMiJ133jkSiUS88sorsXz58jbPqKmpiV//+tcxduzYiq8P2EoKhEZN8Ua7MkIDCgAAAACgWzWgIt4Iam666aY44YQTMuabm5tjwYIF8eSTT7YJn4YNGxZ33HFHTJ8+vdPWdcghh8Tdd9+dM0BasWJFPPHEE/H444/nDJ9GjhwZt912Wxx99NGdtj5gKyixAZUKoAo2oARQAAAAAEAP1u0CqIiIvn37xm9+85v47W9/G1OmTMl7XV1dXZx++ukxb968OOywwzp9XQcddFD8/e9/jyuvvDImTpxY9Ppx48bFxRdfHM8++2y8733v6/T1AZ2sSAMqews+DSgAAAAAoFp1uy34Wps5c2bMnDkzXnzxxXj00Udj2bJl0djYGEOGDIlJkybF9OnTo2/fvmU/N5lMtntNAwcOjC984QvxhS98If71r3/F3Llz45VXXom1a9dGMpmMwYMHx8iRI2PfffeNMWPGtPs9QDdUZgNKAAUAAAAAVKtuHUCl7LbbbrHbbrt19TLa2HHHHeMDH/hAVy8D2FpKbEDZgg8AAAAAqHbdcgs+gG6pxAaULfgAAAAAgGongAIoVZkNKAEUAAAAAFCtBFAApSqzAWULPgAAAACgWgmgAEpVpAGVSCQiIqsBVVub+wYBFAAAAADQgwmgAEpVYgMqFUBpQAEAAAAA1UoABVCqEs+ASv3oDCgAAAAAoFoJoABKVWYDSgAFAAAAAFQrARRAqQo0oJqjbQPKFnwAAAAAQLUSQAGUKk9o1PJm40kDCgAAAADgDQIogFLlaUAl3wyZsgMoDSgAAAAAoFoJoABKlSc0SmZtvZf6UQMKAAAAAKhWAiiAUuVpQLW8GTIlEomIsAUfAAAAAIAACqBU+RpQWWdApX60BR8AAAAAUK0EUAClyteAygqgSmpA5XkWAAAAAEBPIIACKFWJZ0ClAigNKAAAAACgWgmgAEpVYgMq9aMzoAAAAACAaiWAAihVntCoXVvwCaAAAAAAgB5MAAVQqjLPgLIFHwAAAABQrQRQAKUq8QwoW/ABAAAAANVOAAVQqjwNqGYNKAAAAACADAIogFIVaUAlEomI0IACAAAAABBAAZSqzAaUAAoAAAAAqFYCKIBS5QmNWrLOfsrYgq+2tqxnAQAAAAD0BAIogFLlaUBlB1C24AMAAAAAqp0ACqBU7WlA5QugksmIlpbKrxEAAAAAoBsQQAGUKl8DKusMqNSPEW+FUzlpQQEAAAAAPZQACqBUeQKj5jxb8EUIoAAAAACA6iSAAihViWdApbbgi4hItvp5GwIoAAAAAKCHEkABlKpIAyqRSEREZgOq+c25cp4HAAAAALCtE0ABlCpPAyp7C77WDShb8AEAAAAA1UgABVCqPIFRS1bzyRlQAAAAAEC1E0ABlKrSDag8zwMAAAAA2NYJoABKVeQMqFwNKGdAAQAAAADVSAAFUKp8DShb8AEAAAAAZBBAAZQq3xlQWcFTIpGIxJuhlAYUAAAAAFCNBFAApSrxDKjWPxdAAQAAAADVSAAFUKp8Z0C9GTIlWoVNvXr1ighb8AEAAAAA1UkABVCqPA2oLVlnQLX+uQYUAAAAAFCNBFAApSrSgGodQKUaUAIoAAAAAKAaCaAASuUMKAAAAACAkgigAErVjgZUyxsflPU8AAAAAIBtnQAKoFTtOQOquTmid+/czxNAAQAAAAA9lAAKoFRlNKBSP29paRFAAQAAAABVRwAFUKoyGlDpLfgEUAAAAABAFRJAAZSqHQ0oW/ABAAAAANVIAAVQqiINqMSbP0ZoQAEAAAAA1U0ABVCqPIFRalYDCgAAAADgDQIogFI5AwoAAAAAoCQCKIBSOQMKAAAAAKAkAiiAUiSTeRtQqdlcAZQGFAAAAABQjQRQAKVoacn7Ubu34MsTaAEAAAAAbOsEUAClKBAWpXpMtuADAAAAAHiDAAqgFAXColxnQJXUgBJAAQAAAAA9lAAKoBQFGlCpTxJvBlERGlAAAAAAQHUTQAGUokBYlGsLPg0oAAAAAKCaCaAASlGoAZVjCz4NKAAAAACgmgmgAEpRqAGVTEZE7gBKAwoAAAAAqEYCKIBSlHAGVK4t+DSgAAAAAIBqJIACKEWZZ0BpQAEAAAAA1UwABVCKdjagWlpaImprc98ogAIAAAAAeigBFEApCoRFzYlERORuQNmCDwAAAACoRgIogFIUaEA1JpMRUaABJYACAAAAAKqMAAqgFCWcAZV4swkVoQEFAAAAAFQ3ARRAKTpyBpQACgAAAACoMgIogFIUakC1tESEM6AAAAAAAFIEUAClyNeAqq2NlhxnQKV+rgEFAAAAAFQjARRAKfKFRb17vxEyhS34AAAAAABSBFAApSjUgLIFHwAAAABABgEUQCk0oAAAAAAASiaAAihFgQZUssAZUAUbUPmeCQAAAACwjRNAAZSihAZUIpFIT2tAAQAAAADVTAAFUApnQAEAAAAAlEwABVCKMs+ASv1cAwoAAAAAqEYCKIBSlNmASm3BpwEFAAAAAFQjARRAKTSgAAAAAABKJoACKEU7G1ACKAAAAACgGgmgAErRzgaULfgAAAAAgGokgAIohQYUAAAAAEDJBFAApSjQgEomkxERkUgk0tMZDaja2vKeCQAAAACwjRNAAZSizAZU6ucaUAAAAABANRJAAZSizDOgUlvwOQMKAAAAAKhGAiiAUmhAAQAAAACUTAAFUIp2NqAEUAAAAABANRJAAZSinQ0oW/ABAAAAANVIAAVQCg0oAAAAAICSCaAASqEBBQAAAABQMgEUQCnKbEClfq4BBQAAAABUIwEUQCkKNKCSyWRERCQSifR0agu+gg2olpY3/gEAAAAA6GEEUACl6IwGVKHnAgAAAABswwRQAKUo8wyoVANKAAUAAAAAVCMBFEAp2tmAKrgFX6HnAgAAAABswwRQAKXQgAIAAAAAKJkACqAUGlAAAAAAACUTQAGUoswGVOrnGlAAAAAAQDUSQAGUoswGVGoLPg0oAAAAAKAaCaAASlGgAZVMJiMiIpFIpKc1oAAAAACAaiaAAiiFBhQAAAAAQMkEUACl6MgZULW1+Z8rgAIAAAAAeiABFEAp2tmAsgUfAAAAAFCNBFAApWhnA8oWfAAAAABANRJAAZRCAwoAAAAAoGQCKIBSaEABAAAAAJRMAAVQijIbUKmfa0ABAAAAANVIAAVQihIaUIlEIj2d2oKvubk5oqYmotVnGQRQAAAAAEAPJIACKEWBBlQymYyIAg2oN68r67kAAAAAANswARRAKco8AyrVgBJAAQAAAADVSAAFUEwy2e4zoJqbm9PX5ZQv2AIAAAAA2IYJoACKSYVIuWhAAQAAAAC0IYACKKZASJR8M2iKaGcDSgAFAAAAAPRAAiiAYgpsk9dSJIDSgAIAAAAAqpEACqCYAiFRS47QKeKtLfg0oAAAAACAaiSAAiimQAMq2SpY0oACAAAAAHiDAAqgmBIbUIlEIv1zDSgAAAAAoJoJoACK0YACAAAAACiLAAqgmA6cASWAAgAAAACqkQAKoJgCDaiWN4OmiNwNqPQWfLW1uR8ggAIAAAAAeiABFEAx7TgDyhZ8AAAAAEA1E0ABFNOOBlRqC750A0oABQAAAABUEQEUQDEaUAAAAAAAZRFAARRToAGVbBUstQ6gNKAAAAAAgGomgAIopkBIlGy1BZ8GFAAAAADAGwRQAMXka0AlEpHMswVfqgElgAIAAAAAqpEACqCYfCFR795vBUyRuwFlCz4AAAAAoBoJoACKydeAqq2NZDIZEZnhU4Qt+AAAAACA6iaAAiimQAMqXwCV2oJPAwoAAAAAqEYCKIBiOrMBle/ZAAAAAADbMAEUQDEaUAAAAAAAZRFAARTjDCgAAAAAgLIIoACKKaEBlQqcUjSgAAAAAIBqJoACKKZAAyrVcNKAAgAAAAB4iwAKoJgOnAEVEW9cI4ACAAAAAKqIAAqgmA6cARXx5jZ8AigAAAAAoIoIoACKaUcDqnUA1dLSIoACAAAAAKqKAAqgmHY0oFpvwacBBQAAAABUGwEUQDGVaEDV1pb3bAAAAACAbZgACqCYEhpQrQOnCA0oAAAAAKC6CaAAiinQgGppaYkIZ0ABAAAAALQmgAIopoNnQAmgAAAAAIBqI4ACKKaDZ0DZgg8AAAAAqDYCKIBi2tGAaj3WgAIAAAAAqo0ACqCYdjSgIt7ahk8DCgAAAACoNgIogGLa0YCKeGsbPg0oAAAAAKDaCKAAiimhAdX6zKcUDSgAAAAAoFoJoACKKdCAamlpiQgNKAAAAACA1gRQAMV05hlQ+cItAAAAAIBtmAAKoBhnQAEAAAAAlEUABVBMOxtQAigAAAAAoFoJoACKaWcDqqQt+ARQAAAAAEAPJIACKEYDCgAAAACgLAIogGJKaEClwqbWNKAAAAAAgGolgAIopkADqqWlJSI60IBqaXnjHwAAAACAHkQABVBMZ54B9cYFHV4iAAAAAEB3IoACKKYzz4Aq9HwAAAAAgG2UAAqgmHY2oDICqNra/M8XQAEAAAAAPYwACqCYdjagSt6CTwAFAAAAAPQwAiiAYkpoQKXaTq3Zgg8AAAAAqFYCKIBiNKAAAAAAAMoigAIopkADqqWlJSJKOANKAAUAAAAAVBEBFEAxGlAAAAAAAGURQAEUU8IZUBpQAAAAAABvEUABFNPOBpQACgAAAACoVgIogGLa2YCyBR8AAAAAUK0EUADFlNCASrWdWiu5AZUv4AIAAAAA2EYJoAAKSSbzB1AaUAAAAAAAOQmgAAppbs7/We/eb7SbwhlQAAAAAACtCaAACim0PZ4GFAAAAABATgIogEIKhUOtzoAq2oDKcUZUSe8AAAAAANgGCaAACqlUAyqRyN+CEkABAAAAAD1MgT2huo+XXnopHnvssVi6dGk0NjbG0KFDY+LEiTFt2rTo27dvVy8vmpub4/HHH4958+bFihUroqmpKQYMGBA777xzTJo0KSZOnJhuQgDbmEo1oN68PufzBFAAAAAAQA/TrQOoW265JS666KJ44okncn4+YMCAOPnkk+P888+P4cOHb+XVRSxcuDAuv/zy+M1vfhNr167Ne92gQYPi8MMPj8985jPxvve9b+stEOi4EhtQuULmnAFULgIoAAAAAKCH6Za1nIaGhjjppJPimGOOyRs+RURs2LAhrrrqqpg8eXI88MADW219LS0t8c1vfjMmTZoUV199dcHwKSJi3bp1ceutt8YvfvGLrbNAoHKKNKBS4VLRLfjevL7sdwAAAAAAbIO6XQOqpaUljj/++Lj11lsz5nv16hVjxoyJwYMHx8KFC+P1119Pf7Zy5cp473vfG3fffXcceOCBnbq+pqam+NjHPhY33XRTm88GDx4cO+20UwwaNCjWr18fixcvjvr6+k5dD9DJOnAGlAYUAAAAAFCtul0D6vLLL28TPn3uc5+LJUuWxIIFC+LJJ5+M1157LW6++eYYM2ZM+pr6+vo47rjjMoKpznDKKadkhE+9e/eO//zP/4zHHnss1qxZE/Pnz49HH3005s2bF+vXr4/58+fHd7/73Zg2bVrOL6iBbq4DZ0C1aUDV1pb/DgAAAACAbVC3akCtXr06Lrnkkoy5b37zm3H22WdnzNXU1MQxxxwT+++/fxx00EGxaNGiiIhYunRpXHHFFTFr1qxOWd/1118fv/zlL9PjUaNGxZ133hl77bVXzutrampi4sSJMXHixDjjjDNizZo1nbIuoBNpQAEAAAAAlK1bNaAuu+yyWL9+fXp8yCGHxFlnnZX3+tGjR8dPfvKTjLkrr7wyVq9eXfG1rVq1Kr74xS+mx4MHD477778/b/iUy9ChQyu+LqCTVbIBJYACAAAAAKpEtwmgWlpa4tprr82Yu+CCC4puW3fkkUfGwQcfnB6vX78+brzxxoqv75JLLolVq1alx9/4xjdit912q/h7gG5GAwoAAAAAoGzdJoCaM2dOrFy5Mj2eMGFCHHbYYSXde8opp2SMb7nllgquLKKhoSF+8YtfpMc77rhjfPazn63oO4BuqsQGVCpsak0ABQAAAABUq24TQM2ePTtj/K53vato+6n1ta3dd999sXHjxoqt7fe//3289tpr6fEJJ5yQ3loL6OGKNKBS4ZIt+AAAAAAA3tJtAqinnnoqYzxt2rSS7x01alSMGzcuPW5sbIx58+ZVaGVtw7HDDz+8Ys8Gurl84VAiEVFTYws+AAAAAIAcuk0ANX/+/Izx5MmTy7o/+/rs53XE3LlzM8bvfOc7I+KNVsOdd94ZJ5xwQrztbW+Lurq6GDJkSOy+++5x3HHHxbXXXhv19fUVWwfQBfI1oGprIyIKBlAaUAAAAABAtcrzbejWtWnTpliyZEnG3C677FLWM7Kvf/755zu8roiI119/Pf75z3+mx7169YqxY8fGggUL4qSTTopHHnkk5z0vvvhi3HTTTXHuuefGpZdeGh//+Mcrsh5gK8sXDr0ZJmlAAQAAAAC01S0CqFWrVqW/xI2IqK2tjREjRpT1jNGjR2eMV6xYUZG1LViwIGNtAwcOjHnz5sW0adPi9ddfL3r/K6+8Ep/4xCfi2WefjUsvvbQia0pZsWJFrFy5sqx7NLKgTFujAVXonCkAAAAAgG1QtwigNmzYkDHu379/zi9zC6mrqyv4zPZau3ZtxjiRSMRRRx2VDp/69+8fH/3oR+OQQw6JYcOGxerVq+P++++PX//617Fp06b0fd/61rdi9OjR8fnPf74i64qI+ME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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Then plot\n", + "wavenumbers, total_intensities = spectrum.measure(laser_correction = True, \n", + " laser_wavelength = 532, \n", + " bose_einstein_correction = True, \n", + " temperature = 300)\n", + "fig = plt.figure()\n", + "axis = fig.add_subplot(111)\n", + "axis.plot(\n", + " wavenumbers[wavenumbers > 50], \n", + " total_intensities[wavenumbers > 50] / np.max(total_intensities[wavenumbers > 50]), \n", + " label = \"raw\", color = 'black', linewidth = 0.5\n", + ")\n", + "wavenumbers, total_intensities = convolve_spectrum(wavenumbers, total_intensities)\n", + "axis.plot(\n", + " wavenumbers[wavenumbers > 50], \n", + " total_intensities[wavenumbers > 50] / np.max(total_intensities[wavenumbers > 50]), \n", + " label = \"smoothed\", color = \"red\"\n", + ")\n", + "\n", + "axis.set_xlim((0,1000))\n", + "l = axis.legend()" + ] + }, + { + "cell_type": "markdown", + "id": "89928026", + "metadata": {}, + "source": [ + "A few comments. First, note that MD-derived Raman spectra are somewhat noisy (black curve). This noise can be effectively removed for visualization using ``convolve_spectrum`` (red curve). Second, note how we defined a lower cutoff for wavenumbers and intensities; we chose 50 cm-1. This is because inclusion of the laser wavelength correction terms (``laser_correction = True``) leads to large intensities at 0 cm-1. This artifact makes spectra difficult to visualize, but we are safe to remove it." + ] + }, + { + "cell_type": "markdown", + "id": "e2b4ed41", + "metadata": {}, + "source": [ + "### Lower quality, publicly available trajectory \n", + "\n", + "Let's repeat the above steps using a TiO2 trajectory available in the ramannoodle repo." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "4136514e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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FO3WSLrzQem7GDGn7dvueFa1IveYNFVAEUFRAAUhzpi8uZGVJPXua7xs40Dy3cWNiewLiESmAaiDYgq+kpCRsvEvXrjL+9EYFVPpZtMhyeJWkCkmbNm3Svn37pC5dzO+HBFAAAABoAQRQgIO4XC7ddNNNkqT//d//1f79++1b3NSGr75e+te/7HtOtEzt94YOlRq12iOAMgRQeXnmmwigALRFpgqovn2lwHulpY4dpYIC6zkCKCRbfb20dKn1XKMAylQBVVBQIGPMRACVfgy/nxZJcrv9/8m/cuVK/+CRR1qvQQAFAACAFkAABTjMxRdfrL59+6q0tFTPPPOMfQufcILU6NuzIY8/Lnm99j2rOT6f9O671nON2u9JBFDBDw68jf8ZZWaaQyjTGSkAkMpMFVARzn/av3+/vvzyS+3u2NH6AgIoJNt330mmLxlFGUC53W6VZWdbr0EAlX6CLfYaWSpp9OjRgUsC10QKoHy+FtgcAAAA0hkBFOAwWVlZuuGGGyRJ9913nzweY4f/2Lhc0hVXWM999505EGoJX34pbdhgPUcA1YSxAkqSOne2vsnOM8QAwClMFVADBsjj8WjFihV65ZVXdNttt2ny5MkaMmSI8vLyNGbMGH2yaZP1vaZxoKWY2u9lZEgjRoRe7t69W+Xl5ZKaBlCStLt9e+t1CKDSS3W1MZxfnZ2to48+WpK0YsUK/6ApgCot5Uw8AAAA2I4ACnCgqVOnqrCwUGvXrtVrr71m38I/+Ym5RdEDD9j3nOa8+qr1eGamdMYZYUM+n48AKlIA1aWL9U2BD6wAoE0xfMj6yNtvKy8vT8OHD9dFF12ku+66S2+88Ya+++47+Xw+de7cWcY6JyqgkGxLlliPH3KIlJMTehmsfurevbvyLCqeK0xnQW7dmugOkUpWrjRWLpUVF2tEINQMVUAFKqIs0YYPAAAANiOAAhwoLy9P1113nSTp3nvvlc+udhjdu0uTJ1vPffSRtHixPc+JxOeTXnnFem7SpCaByr59+1RbWyuJAIoKKABpzeczVkDN375dtbW1ysvL01FHHaWpU6fqoYce0vvvv69t27aprKxMm1wu63UJoJBspp+3Ro0Ke2lqvxdUbfoSChVQ6WXZMsvh/ZI8vXtr+PDhkhoEUF26SAMGWK9FAAUAAACbEUABDnXttdcqNzdXixcv1gcffGDfwr/5jXnuL3+x7zkmn30mrV1rPff97zcZClY/dezYUTkNvhWcTgigAEDSrl1SZaXlVGWganjfvn1asGCBHn/8cf3qV7/SySefrO7duysjI0P7OAMKTmGqgDriiLCXq1evliSVGM7wrOva1XqdXbukmpp4d4dUYwigVkjq1rNnKIBat26dqqur/ZORzoECAAAAbEQABThUYWGhrgic2XTvvffat/C4cdL48dZzr74qffONfc+y8uCD1uMZGdJ55zUZTvf2e5L/oHFJ8nq9TSdpwQcgXZjOf5Lk6dNHAwYMCL1fWtlv+rB+717/X0AybNsmBX62aSLGCihvjx7m59CGL30EK5saD8vfvrFr164qLCyUz+fTqlWr/JORAii7Oi8AAAAAIoACHO03v/mNMjIy9OGHH+pLO7+ReOON5rk77rDvOY2tWSO9/rr13KRJUlFRk+FgAFVcXNxy+3I4KqAAQMbzn2okZffp0+zt9b16mSc3bYpzU0CMIrU7blQBFQygTBVQ7ki/72nDlz4MFVDL5A+gJDVtwzdmjPVapaX83gEAAICtCKAAB+vXr58uueQSSdItt9yi/fv327PwuedKI0daz73+ujR/vj3PaeyuuySrKh5J+tWvLIepgGomgKICCkC6MFRArZfULVIlSEBWv36yeBf1ow0fksXUfq9PH6mwMGwo2ILPVAGV36OHKkzPIURID9XVxnA+YgA1erR5zYUL7dwhAAAA0hwBFOBwv/vd75SZman3339fRx99tFauXJn4om63dPvt5vlf/9ocFMXr44+lZ56xnhs+XDr9dMspAigqoABAkvFD1vU6+CFrJF179pSxKRkBFJLFVAHVqP3e/v37tTXQRs8UQBUWFsoYM9GCLz2sXGlsmRdswScdDKBWrFjhn+zSRRowwHpNzoECAACAjQigAIcbMWKE3n33XXXr1k3ffPONxowZo+effz7xhc87Tzr8cOu5zz+Xnn468WcEVVRIV15pnr/xRsnlspwigIozgKICCkBbY6iAWqfo/ozo3r27jDETLfiQLKYAqlH7vbVr10qSOnXqpC6GaucuXbqYAygqoNKDof1ejfzvjcYKKCnyOVAAAACATQiggBQwadIkLVmyRCeddJKqqqo0ZcoUXXHFFaquro5/Ubdbuv9+8/wNN0jbt8e/fpDXK112mRQ89LixwYOlH/7QeDsBlOR2+9+qvVZVaaYWfHv22F/FBgCtKcEKqG7dupkDKCqgkAz79vnPw7TSqAKqYfs9l+FLOgRQUMNAqYGVkrySegTakwYDqNWrV+vAgQP+iyIFUIaqKgAAACBWBFBAiujevbvee+893XHHHXK5XHriiScSb8l38snS2Wdbz+3ZI111VWL/AerzSdde6z9XymTaNCk72zhNABVnBZTX6688A4C2wOeLWAEVTQAVsQKKAArJ8NVX5rlGFVBrAkGVqf2eRAAFGSuglgb+t7i4WJI/iCooKFB9fb2+++47/6QpgCotlTZvtnmjAAAASFcEUEAKycjI0O23364PPvhA3bp109KlSzVmzBg9++yz8S/6wAPmAOitt6RHHolvXZ9P+uUvpUcfNV9z6aX+ECwCAqg4AyiJNnwA2o4dO6SaGsup9Yo+gDI22iOAQjIsWWI93qmT1K9f2FAwgCopKTEuV1hYaD7XjAAqPRgqoJbL//sjO/Azvsvl0rBhwwK3BO4xBVCStHChnbsEAABAGiOAAlLQSSedpCVLlmjSpEmqqqrSj3/8Y02dOjW+lnxDhki33Waev/FGad682Nb0eqVf/SpyeDVoUFThVmlpqSQCKMkQQJla8EnS7t0ttCMASDJD9ZNk0xlQmzdLVu+xgJ1M5z+NGtXkLMyGLfhMCgoKzAHU1q20UWvrqqulwFlhjS1T02C+yTlQXbpIAwdar00ABQAAAJsQQAEpqnv37po1a5buvPNOuVwuPfnkkzr66KO1ynTWUiQ33SQdfrj1XG2tdN55UrBdR3NqavyVTQ8/bL4mN1d6443I1TuSqqqqVFVVJYkAKqjJOVAFBeYbqYAC0FYYzn+qklSTl6e8vLxmlygoKND2rCzrSY/HnnMPgUhMAVSj9ntSdC343G63Kjp2tJ48cICfA9q6lSuNIWNUAZQkjR1rvTYBFAAAAGxCAAWksIyMDN1222368MMP1b17dy1dulQXXnihfLF+4zUrS3ruOSknx3p+1y5p4sTmQ6idO6VJk6SXXjJfk50tvfaadNhhzW4r2H4vNzdX+fn5zV7fVrndB9+qmwRQGRn+1j1WqIAC0FYYKqDWS+reo0dUS7hcLh2I9GUG2vChJdXWGs/r0ahRYS/r6uq0YcMGSZFb8EnS/kiV0LTha9sM7ffqMjMtz8YLBlArVqw4ODhmjPXaCxdSQQcAAABbEEABbcDEiRO1aNEitWvXTt98842WmM4YiOTQQ6W//c08v2WLNH689N//Ws/Pn+//FuX8+eY1srP9lU+nnx7VloIBVPAA5XTVsAIqpnOgCKAAtBWGCqho2+8Fte/ZU5WmSQIotKTly6W6Ouu5RhVQGzdulMfjUU5Ojno0E7B6i4vlNU0SQLVthkCztHNneaUmv3eCAdSqVavk8Xj8g6YAqrzc+L4LAAAAxIIACmgjevTooXPOOUeS9Pzzz8e3yNSp0hVXmOeDFU5XX+3/j97aWv+B2lOnSscfH/GMDmVl+Sufzjwz6u0EA6h0br8nJRBA0XoHQFsRqQKq0bf8I+neo4f5HKhNm2LcFBCDRYusx9u1k4YODRtq2H6vYRW0lYLCQu0wTW41nhCFtsBQAbU+N1dS0/fGPn36KC8vT3V1daHfYxo9usn5YyG04QMAAIANCKCANuSHP/yhJOnFF1+0Diqa43JJ06ZJJ59svsbnkx57zF8x1a6d/1u7Tz4pNW4N11BenjR9unT22TFthwDKr9kAytR+hwooAG1FhAqomAKo7t3NARQVUGhJX35pPX7oof4v6TSwevVqSZHPfwrq0qWLjHVOVEC1bYYKqJWBnxsbvze63W4NDYSdoXOgOnaUDjnEev0vvrBnnwAAAEhrBFBAG3LGGWeoU6dO2rp1q+bMmRPfIllZ0uuvS8cea8+mevSQPv44psqnIAIoPyqgAKQ1r1cKnIfT2HrFHkAZ65wIoNCSTNUkFi3QGlZANaewsJAAKh1VV0tr11pOLamtlWT93hhsw7e8YfVUpHOgAAAAgAQRQAFtSLt27fT9739fUgJt+CSpQwfp3XeliRMT29Bhh0kLFvjbe8SBAMovKytLuYF2KqWlpU0voAIKQFu2davx7JxYz4Dq1q0bFVBIvro66auvrOciBFAlJSXNLk0FVJpatcrflcDCZxUVkmIIoMaOtX7Gl19G7nAAAAAARIEACmhjgm34XnvtNdXU1MS/UH6+NGuWdN118d1/+eXS/PlSnz5xb4EAys/lcoU+hPruu++aXmCqgNq1qwV3BQBJEuF8wfWiBR9SwLJl0oED1nMWAVSsLfiMJz1xBlTbZWi/52vXTov27pVkQwVURYVk9XMnAAAAEAMCKKCNOeGEE9S7d2/t3btX77zzTmKLZWVJDz8svfWWNGBAdPeUlEhvvik98YQ/xEoAAdRBgwcPlmQIoLp2tb5p+/YW3BEAJInh/Kd9Lpd2y8YAatcuqaoq5u0BzTK1MmvXThoxImzI5/NpbaC1GmdAwahhgNRA3aBB8spfPd/FokI+GECtXLnyYFvnUaOkBu2ew3AOFAAAABJEAAW0MW63W5dccomkBNvwNXTOOf7/0H3sMemYYySXq/FD/e36nnrK/43M733PlscG280RQDUTQPXoYX3Ttm0tuCMASBJDBdT6QPsp2wIoSdpkPCEKiJ8pgDr8cP+XfRrYtm2b9u/fr4yMDPXr16/ZpSOeAVVaKgXOA0IbY6iA2hfoPNC9e3e5Gv+8LmnAgAFq166dampqtCF4tl5ubpMgNCSRc6CqqqTFi6VPP/WfWQUAAIC0RAAFtEHBNnxvv/229uzZY8+iOTnSlVf62+rt3u3vC//BB/4zDfbulT76SLrsMik7257niQqohiIGUD17Wt+0dy//wQ8g9RkqoNYG/re4uDjqpbp166bNkS4ggEJL+PJL6/EI7ff69eunrEbhlJWIFVASX0ZpqwwBVFlRkSRzMJ+RkaGhQ4dKirINXzwB1Jo10mmnSR07+s+BHT9e6tVL+utfpWDVFQAAANIGARTQBo0cOVIjRoxQbW2tXnvtNfsfUFDg/w/KSZOkkSMTbrVnpaamRnsDPewJoOKsgJL44AlA6jNVQEnq3Lmz2rVrF/VSubm5yunYUcZ3Rs6Bgt0OHPB/WcfKkUc2GVqzZo2k6NrvSc2cASVxDlRbVFUlrV1rObWxY0dJkStDhw0bJqlRADV2rPXFixZJdXXR723BAunoo6X33pO83oPje/ZIv/61dOqpUmVl9OsBAAAg5RFAAW2Qy+UKVUHZ1oYvyYLt97Kzs1VQUNDKu2l9JSUlkqSNGzfqQOODzO0OoDwe6cknpbPOkr7/fekf/5BqamJfBwDsYKiAWqfY2u8Fde/eXcY6JwIo2G3pUvMH+BZVJ8EAKvjnfnO6dOmiPZKM9c6cA9X2fP21FGhB2th3gaq5SO+NwXOgoqqA2r/fXMHX2Fdf+b+ctmuX+ZqPPpJ++lPj/gEAAND2EEABbdSll14qSZo9e7a2pOCHD8H2e8XFxZY97NNN9+7dlZ+fL6/XGzqcPKRDB3MVWqwB1KpV0lFHSVOnSu+8I732mvTzn0slJdLMmfFtHgDiVVdnbIu3XvEHUMaYiQAKdjN9eJ+TIwWCgIaCLfiirYDq1KmTXC6XuQ1fCv4MiGYsWWI93qGDVgTO/Io5gDr8cP9ZUFbmzGl+T7W10pQp/uqs5rz6qvTcc81fBwAAgDaBAApoo/r166fjjjtOPp9PL774YmtvJ2ac/xTO5XKFvg0dUxu+WFrvbNggTZjgPzC6sS1bpPPOM3/oAQAtYdMm45khaxXfnxEEUEgq0xk6o0ZJmZlNhmOtgHK73ercuTMBVDqx+jlNkg4/XFu3b5ck9YhQHR8MoFasWCFfsBIpK8t/VpOVaAKoP/3JX+0Xreuui1wpBQAAgDaDAApow1K5DR8BVFMRz4Hq2dP6pmgroHw+6Re/kAIfXFiqrfVXQzXs6Q8ALclwzokUfwu+bt26mQMoQ7UVEDdTAGVoeRbrGVCSvw2fMWbiDKi2xxRAHXGEtgd+jov03lhSUqLMzExVVlZq8+bNBydOPNH6hnnz/O2ZTdatk+65p7ldh9u7V5o2LbZ7AAAAkJIIoIA27MILL1RmZqaWLFkS3mYjBRBANRUxgDJ90zXaAGrGDOk//2n+us8+k554Iro1ASBRgQ/jG9ubk6MqtVALPs4mgV1qasxVIRYBVHl5uXbv3i1JGjhwYNSPKSwslDFmogKqbamrk775xnpu1KioAqisrCwNGTJEUqM2fKYAqqIicgX8n/5kPucsUhvtv/3Nf8YUAAAA2jQCKKANKyws1Omnny5JeuGFF1p5N7EhgGoqrgqoaL757PVKN94Y/UbuuCPyN2EBwC6GCqgtOTmS4m/BZ6xzOnBAKiuLeU3A0jffmD+YP/LIJkPB6qeePXsq13Qej4WIFVAEUG3LypX+9ykLvigDKMlwDtRRR/nPJrPy0UfW42vWSM88Yz1XWOivrL/9duv5sjLp6acj7hMAAACpjwAKaOOCbfheeOGFg33eU0BpaakkAqiGWqwCatYsyWpNk61bpXffjf56AIiXIYBaG/hWve0VUBLnQME+pvZ7ubnS0KFNhuNpvydFEUCl0M9/aIapEikrS/v69FFNTY2k5n9+HjZsmKRGAVS7dtK4cdY3zJhhPX7XXcZz+nTPPVJxsXT99VJ+vvU1//hHxH0CAAAg9RFAAW3c9773PeXn52vdunX69NNPW3s7UaMCqqlgALVp0ybtb9yyJJEA6tFHY9/Mk0/Gfg8AxMoQQK2qrZUUfwBVJqnGdAEBFOxiCqCOOELKzGwyvHr1akk2B1DV1dK+fTGtBwdbsMB6fMQIbS8vlyR17Nix2Qo6ywooSTrlFOsb5s9vWh363XfSs89aXz9woPSTn/h/3bmzdOWV1td9/bW5TSUAAADaBAIooI3Lzc3V+eefL0l6/vnnW3k30SOAaqpr167q2LGjpIPfkg4xteArL/efQWGycaPx7KfNxx6rf5numzGDNlUAWpbPZzwDaml1taT4AyifZG7Dt8k4A8Tmyy+txy3a70kH/2wvKSmJ6TERz4CSaMPXlsydaz1+5JHaFvjSUQ/Tl5IaaBhAhXVIOPdc6xu8Xuntt8PH7rrLP27lttukrKyDr3/5S/NmUqxNOAAAAGJDAAWkgWAbvpdffll1prMIHIYAqimXy2Vuwxfpw4bAeQCWnnrK+OHBuwMHyljn5PFIL75oXhcAErV7t7R3r+XUdz6fXC6XioqKYl62a9eucrlc5jZ8VEDBDvv3mys7xoyxHE6kBR8BVBrYs8d/rpiV44+P+vwnSRoyZIjcbrf27NkTuk+SNHy4ZApAp08/+OsVKyTTF9sGD5YC/+0R0q+fdPzx1te/8AJtIgEAANowAiggDUyaNEnFxcXauXOn3nvvvdbeTrPq6uq0a9cuSVJxcXEr78ZZjAGUqQJKkjZvth73+aSXXrKeGzFCr5eV6WNJ1g2wZD4PAADsYGi/J/nfl7p27apMizZmzcnKylJRUREBVDrbvVt67DH/h+SXXir9+9/+L1bY6auvzGfjGAKoRFrw1Una3bDipCECqLZh/nxzUBNjAJWTkxP6fbZixYqDEy6XuQpq5syDrZ3/8Adz9dOtt1q2mGwSSgVt2CB99lmzewYAAEBqIoAC0kBmZqZ+8IMfSEqNNnxlgdZuGRkZKiwsbOXdOIsxgOrQQSoosL7p22+tx5cu9X+D1YLviiv05aJF8kkydPeX5szhXAkALccQQNVnZ2u74mu/F9S9e3dzCz4CqLbtpZekAQOkq6/2V168+KJ0ySX+yg/TmU3xMLXfy8uThgxpMlxdXR1qoRZrC74uXbpIknaYAtmtEeujkCpM7fd69JAGDIgpgJIinANlCqDq6qRp0/znUL3+uvU1Q4b4/32y8v3vWwdTUtP2fgAAAGgzCKCANBFsw/fmm2+qsrKylXcTWbD9XteuXeV28zbVkDGAcrmkQw6xvmnVKutxU/WTy6Vtxx+v0tJSSdJbps3U1Unvvx95wwAQr8bvcwEVRUXyKfEAigqoNPTss9IPfmDd2vG77/wtwr74wp5nmcKs0aOljIwmw8Hqp86dO6tz584xPSr4ZR1jzEQFVNtgCqCOP15yuewLoMaPl/r3t77poYekiy4yL/rHP5pDpsJC6ZRTrOcIoAAAANosPtkF0sTYsWNVUlKi6upqTW/Yw92BOP/JzBhASeYAauXKpmOR2u+deKK+aNC2b7GkMlNbHz4wANBSrN67JJV16iQpsT8junXrZg6gtm+XDhyIe2041KJF0pVXRr6mpsZfpRFoA5wQU5B15JGWw88884wk/89rsQpWQG0wtREkgEp9u3dLn39uPRc4WynWAGrYsGGSLAKojAzpl7+0vqmqyhzSH3GEdOGFkR96zjnW419/LW0y1qUCAAAghRFAAWnC5XKFqqCc3oaPAMosGEBt3bpVVVVV4ZOxVEAtXiwFvm3dxMUXa9GiRZKkcePGySfpbdOZA//5j/kMAABIhKF6c1NurqQWrICS+MC+rfF6pZ/+1B8wNWfjRunnP0/seXv3So0/1A+yOP+pvLxcjz32mCTp17/+dcyPCwZQ6+vqrC/g93PqmzHDX3lupVEA1aNHj6iWNFZASdLUqf72zrH4y1+k5joXnHWWee4//4nteQAAAEgJBFBAGrn00kslSe+//36ovZoTEUCZFRYWhlrzrG4cIA0dan3TmjVNP7QwVT+53dLkyfoycHbFxRdfrKysLL1h+lZ1WZn/W6sAYCefz1gB9V2gfVmLnQEl0YavrXnrrdj+rHrlFX/FVLwWLPD/HrYyblyToWnTpqmqqkqHH364TjvttJgfV1BQIJfLJWPMxBlQqe+116zH+/aVRo6UpNAZYtG+Nw4N/NxYVlYWOn81pGPH5isGG7rwQun005u/rsF+myCAAgAAaJMIoIA0MmTIEI0ZM0b19fV6+eWXW3s7RsFwjADKmrENn6kCyuOR1q49+Nrnk0z//E86SSouDgVQRx99tIYMGaIPJXlNPf0/+CCG3QNAFLZtkyoqLKeWBgLxRAOoakn7TO9rBFBth8/nr8yI1R13xP/Mzz6zHu/aVRo4MGyourpaDz/8sCTp5ptvlsvlivlxGRkZ6ty5szmA2r7d/7MAUlNFhTRrlvXc5MmSyyWPxxMKkaJ9b8zLy1P/wFlPK1asaHrB//t/Ur9+zS/Us6f0j39E9UxJ5iqoOXP4fQoAANAGEUABaSbYhu/222/XXNNhxq2MCqjIjAFUSYlk+uCqYSurL76Q1q+3vu7ii7V161Zt375dbrdbhx9+uIYPH65qSVv69rW+5/33Y9o/ADTLUP0kSV9WVkpK7M+I4Ae0Wwig2r6PPjKfxzRpkhRoQ9bEjBlS4MsYMfv0U+vxY45p8uf0U089pbKyMg0YMEAXNnd+TgRdunSRsc7J65UCP1shBb36qvlcugsukOSvYvL5fHK73SoqKop66WAbPssAqnNn6c03pUDbU0u5uf6q+kAbyKDS0lJ5TS2azzjDeryiIv5/5wAAAOBYBFBAmrniiit01FFHqby8XCeffLJeeOGFpDx35syZOvTQQ/Xoo482ey0BVGTGAConRwp8k7WJhh/mvvii9TWZmdL554fOfxo2bJhyc3M1YsQISdIXBQXW982dG925GgAQLVMA1bWrVsX4LX8rwXvX19dbX7ApYoM+pJInnjDP3X+/dO+95vlp02J/ntdrroA65piwlx6PR/fff78k6YYbblCmKRCNQpcuXcwVUBK/p1NVfb10zz3Wcz16SOPHSzp4/lNxcbEyAm1KoxHxHChJOvxwafp06/Oghg2TPvlEOu64sOG5c+eqW7duuvzyy63XPPpoqX1767mPPopy5wAAAEgVBFBAmsnPz9d///tfTZ48WbW1tfrhD3+oP/3pT/KZziqwwfr163XJJZdo2bJluuaaa/T73/8+4vMIoCIzBlCS+Ryo4Ie5Ho85gDr5ZKmwMNR+78gjj5R08MOJ/9TWWt+3f7/5294AEI+GVZsNeA85ROXl5ZLsCaBWNz4fL4gKqLahqspfwWHlzDOlUaP87cDGjLG+5t//lvbti+2Z334r7dljPdfo/KdXXnlF69evV9euXfXTn/40tuc00qVLF+2S5MnOtr5gw4aE1kcrefll/+8pK9//vv/sTh0MoGJ9X2w2gJKkU07xB5jPPy/9+tfS1KnSY4/5z0kbNarJ5a+//rok6ZlnntEHVm2as7ObhFYh//1vTPsHAACA8xFAAWkoNzdXr7zyim644QZJ0q233qqpU6eq1hQwJKCurk6XXHKJ9u7dq169ekmS7r77bv30pz9VneGDv2AAVVxcbPt+2oKIAZTpHKj58/3/+8EH5jY8l1wiSaEAavTo0ZIOfjjx+oYN8pmqoGjDB8BOhgqo6j59JEmZmZnq3Llz3Mt37txZWVlZMsZMBFBtw1tvSdXV1nPXXef/X5dLuuUW62uqq81f2jAxfSEjI0MaOzb00ufz6d5A9dUvf/lL5UZqcxaFwsJCSdJe078Xpta7cK5Nm6Trr7eey8gImwsGUD169IjpEcOGDZPUTAAlSQUF0qWXSg8+KD3+uHTllf7Kewvz5s0L/fq6666z/u+Lk06yfs68eeZ2gwAAAEhJBFBAmnK73br//vs1bdo0ud1uPfXUUzrjjDO0x/St3Tjdeuut+uyzz9SpUyfNmzdPTzzxhDIyMvTMM8/o3HPPVVVVVdj19fX1oUOUqYCyFgygduzYoX2Nv5kdqFpqYtUq/wcZzz5rPZ+b6z/IWmpSATV48GBlZmZqT2Wl9jdqHxRi9Q1XAIiX1XkkknYHvpjQrVs3ud3x/xjrdrvVrVs3GZuSbdwotWBlMJLE1Ga4a1d/1W/QOedIpp85/vnP2J5pCqBGjpTy8kIvZ82apa+++kp5eXm65pprYnuGhS6BM3h2NXhGGCqgUsv27dL3vicFfiZu4tJLpUGDQi+3bdsmKfYKqGAAtXXrVlv+G6CyslKLFy+WJBUUFGjlypV6+OGHm144caL1Avv3S59/nvA+AAAA4BwEUECa+/nPf64ZM2YoLy9PH330kY499litt+lbsrNmzQp9u/fxxx9X//79dfnll+vNN99U+/btNXPmTE2cODEUOEnSrl275PV65XK51LVrV1v20dZ06tQpdMD06tWrwycnTTLf+O9/S4G2KE2cf76Un6/t27dr69atcrlcGhVoq5KdnR0KvdY1+LAjzMKFUqAtFgAkZNcu43k12wJVmIm03wvq3r27uQKqslLavTvhZ6AV7dsnzZplPXfxxf5zD4OysiRTC7wvvzS3QLMS5flPwZ+PrrzyylB4lIjgGtsNVSkEUClkxQp/u8YlS6znXS7p978PG4q3BV9BQUGoQ8EKQ/AfiwULFqi+vl59+/bVQw89JEm68847tXXr1vALjzzS+lwpiTZ8AAAAbQwBFACdeeaZmjdvnnr27Knly5dr3Lhx+uKLLxJac9u2bfrRj34kyR9yXXDBBaG5s846Sx999JEKCwv1xRdf6Nhjj9XatWslHWy/V1hYmNBh3G2dsQ1fjx7SiBHWN910k1RTYz03ZYokadGiRZKkoUOHKj8/PzQ9IrDmAtOHBT4fHxgAsEfg2/NW1gTeg+wIoLp166aIH8nTsiy1vf++ZDrj69JLm45dcYV5rZdeiu6Z+/ZJS5dazzU4/2nBggWaPXu2srKy9Jvf/Ca6tZsRbMG3OSPD+gJ+P6eGTz6Rjj02cmD4q181OfMz3gBKivIcqCgF2+8dd9xx+slPfqJx48apsrJSN954Y/iFmZnSCSdYL/LRRwnvAwAAAM5BAAVAkjRq1CgtWLBAI0eO1I4dO3TiiSdq+vTpca1VX1+vKVOmqKysTCNHjtSDDz7Y5Jpx48bpk08+Ub9+/fTdd99p/PjxWrx4cSiAov1eZBHPgTrllNgW69Ur1Iqo8flPQcEPJ+aXlkp9+1qvQxs+AHYwBVDFxVobCNHt+DOie/fu2ibJY/qyQ+CLEUhR77xjPd6zZ1gYFDJoUJMqpZB//zu6Z37+ubl1Y4O1g9VPP/zhD9W7d+/o1m5GsAJqven5GzbQVtLpli2TzjgjcvXl+PHSPfc0GXZiAOV2u/X3v/9dLpdLL774ombPnh1+sakN36ef+lvxAQAAoE0ggAIQ0rt3b82bN0+nn3669u/fr8mTJ+uOO+6wPjw4gnvuuUcfffSRcnNz9dJLLynH0A7mkEMO0fz583X44YeHQq+XAt8yJoCKLBhANWnBJ4WfaxGNX/0q1Iqo8flPQcEPJ5YtX25e//33Y3suAFgJVGI2MXq0tge+pGBXCz6fpJ2mys41axJ+BlqJ12sOoM4809/CzMrFF1uPL19urmxqyNR+r6godF7PqlWrQl/wuemmm5pfM0rBAOpb089sVVX+9pZwpp07/WeRVVSYr+nfX3rlFSk7u8mUHQFUoi34PB6PPg2cgXbcccdJ8n+h6aqrrpIkXXvttaprWJV40knWC9XWms9SAwAAQMohgAIQpkOHDpoxY4auvvpq+Xw+3XnnnRo9erQ+M32o0si8efN02223SZKmTZumoY1ahDTWs2dPzZkzRxMnTlRFRYUef/xxSQRQzYlYAXXiif7zLKLRsaN05ZWhl8EWfI0DqGALvuXLl8tnCqDWrJHWrYvuuQBgEimASuBD1saCa2xp1876AiqgUteSJVLg90oTZ51lvu/CC83hVDRt+ObPtx4fNy607n333Sefz6dzzz1Xw4YNa37NKAUDqOVVVeaLOAfKua69NvLPUKNH+39/9expOR18b+zRo0fMjz7ssMMkSZ9//rnq6+tjvj/oq6++UlVVlQoKCkI/N0rSn//8ZxUWFmrZsmV65JFHDt5w+OFS587Wi9GGDwAAoM0ggALQRGZmpqZNm6YXXnhBRUVFWrZsmcaPH6/rr79elZWVxvt27dqlSy65RF6vV1OmTNGPf/zjqJ5XUFCgmTNn6qKLLgqNEUBFFjGAys/3f4gWjauv9odQksrKyrRp0yZJ0hFHHNHkeRkZGdq3b5+2B74pa4k2fAASsW+f9O231nOjR4fatNoZQK0zBQ4EUKlr5kzr8awsadIk8309e0rHH28999JLkVvYeTxSoP1YE4H2e1u2bNG//vUvSdLNN99sXisOwTOgVu3da1khI4kAyqnmzo0ccJ55pjRnjv+cTwtVVVWqCFROxfPeOGbMGHXs2FG7du0KVcLHI9h+79hjj5XbffBjhi5duujuu++WJN1+++2hsExutzRhgvVinCsKAADQZhBAAbDkcrl0ySWXaMWKFfrxj38sn8+nhx9+WCNGjNBMiw92fD6fLr/8cm3evFmDBw/WtGnT5DJ9qGehXbt2evHFF/Wb3/xGOTk5mhTpAyKEAqiysjLt3bu36QV33y3l5UVepE8f6Xe/C70MfugwZMgQdWjUkqpdu3ahZ36zY4c0apT1mgRQABLx1VfmuQYVUHadASVJq0wtywigUpeheuKbLl107Omna+vWreZ7f/AD6/HvvjOfTyZJX35pbp8WaEf217/+VXV1dTr++ON1jOm8qTgFK6D2VVbKZzqrcf16W58JG3i9/lbIJueeK735pv/LRQbB98Xc3FzlR7jOJCsrS6cEzg+1+hk/Wg3Pf2ps6tSpGjt2rCoqKsJbT5rOgfriC6m6Ou69AAAAwDkIoABEVFRUpGeeeUazZs1S//79tXHjRp155pn64Q9/qLKystB1Dz/8sN566y1lZ2fr5ZdfbhJgRMPtduuBBx5QRUWFzj77bDv/NtqcDh06hD6AtayC6ttX+uMfzQtkZ0uvvRbW+sR0/lNQ2CHVpjZ8H37o/zAFAOJhamHWqZPUv3+LtOD72lTZu2GDv6oFqaWmRvrkE8upZ3fs0Pz58zVhwgRt2bLF+v4LLvBXZliJVKViahnWvr00bpz27Nmjxx57TJL0uwZf/rBLQUFB6Is/taY2bFRAOc/bb5vbjg4fLj33XOicTpOG74uxfPmroTPOOENS/AGUz+eLGEC53W79/e9/l8vl0rPPPhu61lgBVVfHOVAAAABtBAEUgKiceuqpWrp0qX7zm9/I7XbrhRde0LBhw/Tcc8/pyy+/1G9/+1tJ0gMPPKBRpuqYKGU28x/a8IvYhk+SfvlL6Sc/aTqekyM9/7w0dmzYsOn8p6BgALVs2TJzALVrl//sDQCIx/vvW4+PGaPq/fsTajPVWHCNZQcOWF9QXy8F2pIihXz2mWT4ZxqMiL777jtNmDBBmzdvbnpRcbF00knWa0dqw2cKoI4/XsrO1qOPPqqKigoddthhoQ/77ZSRkaFOnTpJkvYXF1tftGaN7c9FghqeiWQ1F0VFkx3B/Omnny7Jfw7Url27Yr5/7dq12r59u7KzszW20c+XQWPHjtUVV1whSfrFL34hj8cjjRghBar3mpg9O+Z9AAAAwHkIoABELS8vTw888IA+++wzjRw5Urt27dKPfvQjHXfccaqrq9N5552nX/ziF629zbTRbACVmSk9+aT0zjvSH/4g3Xij9Ne/St98I33/+00ub64CKnig9PLly0MfqFl6993Y/kYAQPK3WzKdoTNpUuj8p/bt28dVZdtYfn6+8vLytC7SRbThSz2Gs2P2t2unxZJOO+009e/fX6tXrzaHUBdfbL32hg3SggVNxw8cMP/ePekk7d+/X3/9618lSTfddFPcVSrNCZ4DtaeoyPoC088LaB2rVhlD930nnWRuT9eIHQFUr169dNhhh8nn8+m9996L+f5gRdOYMWOUk5NjvO4vf/mLunTpoq+//lqPPvqov9rwxBOtL54zJ+Z9AAAAwHkIoADEbOzYsVq4cKH+/Oc/q127dqqpqVHfvn31xBNPtNiHKmiq2QBK8v+H/RlnSHfdJd13n3T99VJJSZPLdu3apQ2B1jxHHHGE5VINW/D52reXjj3W+plvvhnD3wUABMyda6xc0SmnhJ3/ZNefNd27d1e1pFrTN/AJoFKPoRJpSYcO8ko677zzNHv2bA0YMEBr1qzRhAkTtKlxpdvkyea2Z1Zt+ObO9bf+s3LSSXrmmWdUWlqqvn376mJTuGWD4DlQZQUF1hesXUtbSSeZNs049d7o0VEvE3xv7GFqvRilRNrwRWq/11BRUZH+/Oc/S5JuvfVW/xcLTAHUggXS/v0x7wUAAADOQgAFIC5ZWVn6/e9/r6+//lo333yz3n333dAHH0iOqAKoKAWrn0pKSlRg+ODqkEMOkdvt1p49e7Rt2zbprLOsF/v8cynSAe8AYMXUfq+wUDriCFvPfwoKnqVXYaoYoWVZaqmutq5QkjSjqkqS/0s0/fr1axJCbdy48eDFXbpIp55q/YxXXml61uH06dbXduyo+pEjdf/990uSbrzxRmVlZcXydxST4M9hW01t2zweaf36Fns+YuDxSC+8YDm1UNJL6yLWZoax670xGEC9++678sZ4nme0AZQk/exnP9Po0aO1d+9e3XLLLeYAqrbW+O8zAAAAUgcBFICEDBkyRPfcc4+GDRvW2ltJO3YGUM2d/yRJ7dq1U0mgemr58uXSueeaF3zrrYT3BCCNeL3m941JkyS3O9SCz84AKrjWTlPFyLff2vYsJMEnn0h1dZZT/9m/X9nZ2TrssMMkSX379tWcOXM0cOBArV27VhMmTAhVAksyt+HbsiW83Z7PZw6gTjtNny9apDVr1qhTp066/PLL4/ibil4wgNoQKeSiDZ8zzJ4t7dxpOfWIpDkffyyf6byxRrZt2yYp8ffG8ePHq0OHDiorK9PixYujvq+srEwrV64MrdGcjIwMPRI4++qpp57Sp5WVUuD8siY4BwoAACDlEUABQIoKhkHl5eUqLy9PaK3mzn8KCrbhW7Zsmb+V36GHWl/4xhsJ7QdAmvnwQ/MH46ecIklhLfjsEvzAdnNurvUFgQ9VkSIM7fdq8vP1jfwtZrMbnF/Yp08fzZ49W4MGDdK6devCQ6hzzzWfdfjkkwd/vXChP5Sycv75+vzzzyX5K0Py8vJi/TuKSfAMqNLKSql3b+uLCFWd4eWXLYerJL3qcqmsrEwrVqyIaim7KqCys7M1adIkSbG14Zs/f74k/8+Iwd+DzTnmmGP005/+VJL00MMP+88WtcI5UAAAACmPAAoAUlReXp569uwpKfEqqGAANbqZMwdGjBghKVABJUnnnWd94YcfSoEPRACgWYFvwzeRkSGdeaYk+z5kbSi41ncZGdYXrF5trKiBA/33v5bDq7p3l0/+9nuNNQyh1q9frwkTJmj9+vVSQYH/DEUrL70kBb/4YfrCRVaWdOaZ+uKLLyTDs+0WrIDatWuXNGSI9UVUQLW+ujrp9dctp2ZlZWncSSdJkmZHWf1j53tjPOdAxdJ+r6FgADV37lz5TG34PvvMfL4aAAAAUgIBFACkMDva8JWXl2td4KyB5gKoYAVUswFUfb30/PNx7wlAGpk/X5oxw3ruvPOkQNDekgHUUo/H+oK6OmntWtuehxa0b5+/GsnCh4HzbEwhUO/evTVnzhyVlJSEh1CBD8ibqKmR/vUv/xk1Tz1lfc1JJ0kFBa0SQJWXl5sDKCqgWt+cOdKuXZZT3wwbpokTJ0qKLoDyer22ticNBlCfffZZ1NX18QZQY8eOVXZ2trZv367Ngar+Jmpq/GeLAgAAIGURQAFACrMjgAr2+R84cKA6d+4c8dpgBdSyZcv8ZxOMHi0F9tDE00/7z8YAACuVldK//+0/48n0XnHttaFftuQZUIsrKyWXy/oi2vClhrlz/V9+sPBcoEXeUUcdZby9V69emj17tgYPHqwNGzbotNNOU/3pp0u9elnf8Ne/Ss8+a672Pe887dmzR98GAp+kB1CmP5sJoFrfO+9YDldK8pxyik4MVAPNnj272XOgysvL5QkE6Ha0J+3Tp49GjBghr9erDz74oNnrq6urQ1X0xx57bEzPysnJ0ZgxYyRJs3fvljp2tL6QNnwAAAApjQAKAFKYHQFUtO33JGnIkCFyu93avXu3/8Ngl0u67DLri5culQLf/AYASf6Kkf/7P2niRKlLF+mSS8ztlUaMkBq0ZWrJM6A2lpZKAwZYX0QAlRoM5z/VFRZq8YED6tixo4aYqoICgiFUfn6+vv32Wy1duVL62c+sL96wQbriCuu59u2liy4K/fnav39/FRUVRf23Eq/g+TsRK6A2bqSlWWt7913L4XckjTrmGI0dO1bt27eP6hyo4PtiUVGRsrKybNne6aefLim6NnxffPGF6urq1KNHDw0wvYdGEAyt5s6fL5kqqAytNQEAAJAaCKAAIIXZGUAdeeSRzV7bvn17DRw4UFKDNnw//rG5cuD+++PeF4A25tNPpVGjpKuukmbPbv5spTvuCL23+Hy+Fm3Bt2PHDvmGDrW+iAAqNRgCqI2BP7OOPPJIud3N/6dPz549NW7cOEnSJ5984g+ZTGeEmfz4x1KXLkltvydFeQaUzyetWpWU/cDChg2SIVR6R9KYMWPUrl07jR8/XlLzbfi2bdsmyd73xWAbvnfffVfeQPtKk4bt91ymnwUjCLbtmzdvnjRhgvVFn3wiVVfHvDYAAACcgQAKAFJYwwCquTYtJrEEUFJ4Gz5JUu/e0imnWF/86qt80AVAeustfzVTM9/mD/nZz6Tvfz/0ct++faoJVG3YWQFVXFwsSaqrq1NN//7WFxFAOd/OndKSJZZT83NyJEVuv9dYsCpj/vz5/hZ8V14Z235++UtJarUAqry83F/Rl51tfeFXXyVlP7Awa5ZxamGXLurbt68kaUIgjGkugGqJYP64445TXl6etm/frq+//jritfGe/xQUDNpWrFihPaZK/Npa6eOP41ofAAAArY8ACgBS2KBBgyRJe/fu1c6dO2O+f8+ePVqzZo2k6FrwSdLw4cMlNaiAkqRf/ML6Yp9P+uMfY94XgDbkv/+VLrqo+YqnoKOPlh5+OGwoeP5Tx44dlZuba9vW2rVrF/rQfncgjGpi5UrOs3O6CC26Xgr82RhLCBQMoD755BP/wJ13ms+naezMM6XAn5PJDqCCLfgqKipUJ/nbWFohgGo9hvZ7SyT1OeqoUBVRwwAq0heMWiKAateunU466SRJkdvw1dfX69NPP5UUfwBVVFSkoYHq07mVlVLg93AT778f1/oAAABofQRQAJDC2rdvrz59+kiKrw3f4sWLJUn9+vULfXDVnGAAFaqAkqSzz5YOPdT6hhdekD78MOa9AWgDduyQLrxQOnAguusvu0z64AMpULUS1BLnPwUF19xWUGB9wZ490tattj8XNjK03/P266d3v/1WUmwh0NFHHy23263169dr69atUteu0u23N39jQUEoPN2xY4c2bdokl8sVdYVxogoKCkIBxu7du6XDD7e+kACqddTW+t/fLLwrf/u9oGjPgWqJAEo62IYvUgC1bNky7d27V/n5+Ro5cmTczwq14Zs/Xzr5ZOuLCKAAAABSFgEUAKS4RM6BirX9nhTegi/0rVy3W7rlFvNNV13l/xAXQHq59lpp167I13TrJv3kJ9LChdJTT0n5+U0uaakPWRuuua59e/NFgbAeDmX4kkPZyJGqr69Xt27dQl/WiEbHjh112GGHSQq04ZOkX/1KuuSSyDc+95wUqEwOVj8NHTpUHTp0iPrZicjIyFCnTp0kBc6BMgVQS5ZQ1dcaPv1UqqiwnHpX4SFptOdABd8be/ToYds2pYMB1Pz587XH8PNbsP3eMccco8zMzLifFXYO1KmnWl/0zTd8EQAAACBFEUABQIpLdgB1yCGHyOVyqby8XGVlZQcnLrpICrRRaWLNGv95LrW1Me8RQIp6803/OXAGC/r39wc7W7dKTz8tRXgfCrbga8kAamNVlRQ4f6UJAijn2rRJMvz5tzgQxowdOzZUGRStJm343G5/wHTzzVLjtdq1kx5/3F8NHJDs9ntBYedAjRplfdGuXXyY3xoM7fcqJM1XeAWUFN05UC0Vzvfv319Dhw5VfX29PjQEvIme/xQU/Hdt4cKFqjn+ePOF77yT0HMAAADQOgigACDFJRJALVq0SFJsAVRubq4GDhwoqVEbvsxM6R//MN/44Yf+D+f27Yt5nwBSjMcj3XSTcfoxSZdI/g/I3c3/OJqMCqjt27dLRxxhfREBlHMZ2u9J0oyqKknxhUDB6pNQBZTk/716zz3+3w9//KP/bKhXXpG2bZOmTg27v7UCqGA73fLycnMFlOSvgkJyGQKoDyUV9eihnj17ho0HA6g5c+YYz4FqyffG008/XZK5DZ9dAdSgQYPUrVs31dbWauGOHdKwYdYXvvlmQs8BAABA6yCAAoAUF28AtW/fPn0bOBtj9OjRMd0bPAdq+fLl4RMnntjkQ7gw778vjRwZ8QNDAG3AM89IgfeXxr6WdL3LpXXr12vTpk1RLdeSZ0BFFUAFwno4kOmMwREj9MHSpZKko446KuZlg1UZixYtUnV1dfjk4YdLt94q3Xabv7q3c+ewaZ/P1+oVULt27fLvy9R6kHOgkmvbNmPo1/j8p6DgOVClpaVauXKlYdltklomgAq24Xv33XebBGAbN27Upk2blJGRoaOPPjqh57hcrvA2fOecY33hBx9IgVAZAAAAqYMACgBSXMMAyvQNWSuLA9/o79Onj7p27RrTM40BlCQ98IC5FZ8kbdggTZokXXON8SwEACnswAF/ZYiFekl3l5RoZODD1rlz50a1ZNIqoExh/IYNUnm57c9Ggnw+YwB14LjjQl+ysPpwvzn9+vVTjx495PF4tHDhwpju3bBhg3bu3KnMzEwdHqkKqQWEteCTzG34FixIzobg9957xilTANXcOVAHDhzQ7t27JbXMe+MJJ5yg3NxcbdmyRd98803YXLD6afTo0crLy0v4WWEtL8891/qimpqI/z8CAADAmQigACDFDRw4UG63W5WVlaFzUqIRz/lPQSNGjJDUqAVfUEGB9PbbUlFR5EUefVQaMcJ/LYC249ln/efyWE1J6vm97+mEE06QJH388cdRLZmMM6AiVkBJtCxzolWrjGcZrQi0MxswYICKmvvzyILL5Wp6DlSUgtVPI0eOVE5OTszPTkSTAMoUqs6bJ3m9SdoVTO331mZna4PMIemJJ54oyTqACr4vZmdnq3OjKjw75OTkaOLEiZL8VVAN2dV+Lyi4zieffCLv2LFScbH1ha+/bsvzAAAAkDwEUACQ4tq1a6e+fftKiq0NXzznPwVFrICSpEGDpJkzmw+hNm3yt1q56CIpUOEAIIXV10v33ms5VSvpDkknn3xyzAFUMlrw7dixQ+rVy/y+RRs+5/ngA+txt1sf1ddLiq/9XlCiAVSy2+9Jjc6AkqTAv2tNlJdLVl8igf3q642VOzNqayWZfxYLngM1e/bsJlXuDStDXS6XTZsNZzoHyu4AatSoUcrNzdXu3bu14ttvzW343nhDqqy05ZkAAABIDgIoAGgD4jkHKlgBFev5T5I0bNgwuVwulZWVqayszPqiMWOkTz+VAnuL6JVX/IdOP/64v6USgNT06qvS6tWWU49L2pKZqeOPPz70oeWKFStUWloacUmv15uUCqiysjJ56usjV4zAWUwVtGPHau7XXwd+GX8IFGx/9umnn8obQ7VQawZQYWdASdK4cVJWlvXFc+YkaVdpbuFCYwvPmfK3QjaF60cddZRycnIsz4FqydakQcFzoObNm6d9+/ZJknbv3q2lgfPVgiFtorKysjRu3DhJgcB38mTrC6uq/H/OxGLVKumGG/z/LvTv729L+Ytf0IYSAAAgSQigAKANiDWAqqio0KpVqyTFVwGVm5ur/v37S4pQBSVJJSXSl19KV13V/KJ79kg/+5l02mnSxo0x7wlAK/N6pT//2XrK7da9ko455hjl5+erS5cuOuywwyQd/Ca9SXl5uTwejySp2NSWKQGFhYXKyMiQz+fzB+qBD0Gb+PhjWpY5SUWF9N//Ws+dcootIdARRxyh9u3bq7y8PPRnZnO8Xm/oCx6tGUCFKqBycyXTPqKsQESCZs2yHPZkZmqOIp9RFukcqGQEUIMGDdLgwYPl8Xj00UcfSfIHsj6fT4MHD7a1KjUYZs2bN0865RRzG75nnoluwd27pZ/8xP8Fpwcf9AdOGzZIX30lTZvmf6//4Q+pqAIAAGhhBFAA0AbEGkB99dVX8vl86tWrV9wfHjTbhi+oQwfpH//wt5/p06f5hd9/33821GOPUQ0FpJI335QaHVQfNLdPH22Uv/1eULRt+ILVT4WFhcrOzrZnrw1kZGSoa9eukgIf6AbOXGli927j3x9awfvvS4H2ZY2VjRunLVu2yO12x1XlG5SVlRUKkebPnx/VPatWrVJFRYXat28f+nMymZoEUJK5Dd+cOfw5mwyG85+WFRWpRpEDKCm8DV9D27Ztk9SyAZR0sAoq2IbP7vZ7QcH15s2b56/amzLF+sLZs6UVKyIv9uWX/mrWf/0r8u/xF16Qjj1WCvx/CQAAAPsRQAFAGxBrABX8dnY81U9BI0aMkCQti/YMiVNO8Z83cd11UnNnFVRWSldfLZ18shRo8xKXigppxw5/dRUfsgEtx+eT7rrLesrl0u/27JEkTZo0KTQebQDVkuc/BQU/wN2+fbv/W/GmoKvRB8BoRTNmWI937675gWBq+PDhys/PT+gxsZ4DFay8Gj16tDIzMxN6djyanAElmQOo0lLONmtpu3cbW739J1DZGUsA1fAcqGRUQEnh50D5fL4WC6DGjRsnt9utdevWaevWrf7qJZO77zbPvfuu//f8+vXRPfjrr6WzzpKqq2PaLwAAAKJDAAUAbUAwgFq9enWTQ6qtJHL+U1DUFVANdeggPfywNH++dOihzV//0UfS4YdLl18ubdoU+dqaGv+Hw3fcIU2YIHXqJHXsKHXvLnXu7P9r4kTpvvuaXwtAbN55R1q82HJqz8kn67O9e/9/e/cd3lT1/wH8nbbpLi0dlNENlL1ahuyNyh4KfBmKAgqIG0QQURBZoqKiIDLk50CGLBkCZQmyNwVkbwqUQvdImpzfH7cJvc1o0qZpKe/X89ynuTfn3HNumpzc3M8958DT0xONGzfWb2/ZsiUA4MSJE0hKSjK5a3tcZJUFoNzdgSZNjCdkAKpkUKtNz//UpQsO23AIvIIGDSqV0QAAcvBJREFUoIpj+D3AyBxQgNTDw9HReIaVK+1Qq6dYTIzJoTt/efAAQP43A5maB8peAag2bdrA1dUVN2/exPHjx3Ho0CEAtg9AlSlTBnXr1gWQ83mrW9f0nHy//w5cvmy4fdkyoFs364NJx48Dr73Gm5WIiIiIigADUEREpUB4eDgcHR2Rnp4u3TWaj2LpAZXbM89Id11Pmwa4uJhPq9UCS5YA4eFA9+7SuP27dkl3FP/1l9Trom1bKeDUti0webI0rFDeC9pJSVK+Dz6QJqH+3//yH8KFiPJnpvcTAKzLCTa3bt0aSqVSv71ChQqoWrUqhBBmL+7bPQAFSEFsY3bvBnJ6LVAxiokBci7eG+jWTR8Eyh3wLKimTZsCAC5cuIAHpsrMpaQEoFJSUqBWq6WNZcoAuXofyqxaxYvuRcnE8HuZ5crhP0jnb7pea6aYmgdK115VqFDBJlU1xc3NTd8L6/PPP0dWVhYCAgL0Nz/ZkmwYPgAYO9Z4Qo0GGDnycXBPCODrr4EBAwreRv/2G7B8ecHyEhEREZFJDEAREZUCSqUSYWFhAMwPw6fVarF27Vr9HbSFCUBVr14dAHD//n2LLsoZUCqB8eOBEyekgFR+NBop4PTGG1Kg6ZlnpIDUpElSYCkry/KytVrgjz+AOnWACROk3lNEVDDbtpkcYgo9emBZTpA69/xPOpYMw6ebA8quAShz80Dt3Flk9SAL/f678e0eHhDt29s0COTr64saNWoAyH8eKJVKhRMnTtis7ILw8fGBImeY20ePHj1+4oUXjGe4fBk4edIONXsKCWEyAPVfzjlbfsPv6RibB8pePaCAx/NArV69GoAUKFLkN5xyARgEoF58ETAV6Nq2DZg4Ebh7Vxqu7733zO+8ShXg5ZehNhfwe+cdadhmIiIiIrIZBqCIiEoJc/NAZWVlYdGiRahZsyZ69eoFrVaLatWqFequWU9PT4SGhgIAzhWmJ1H16sDevcCXXwKurgXfT0FoNNI8AvXqAfnMQ0NERmRnA2PGmHxaNW4c9uzZA6DgASi7zwEFAM2aAR4exhOvWFFk9SALpKcDa9YYf65nT1y+exePHj2Cs7Mz6tSpY5Midb1P8gtAxcbGIisrCz4+PqhSpYpNyraWo6MjfHx8AOSZB6pnT9PD8C1dWuT1eirFxgImeqVvy/lfWBqozDsPlBDCrgEo3TxQOrYefk9HN+TliRMnkJKSIr1nJ0wwnWH6dKBCBeCXX8zvuH9/4PhxZP34I9p4e8PkQMz37pkvj4iIiIisxgAUEVEpYSwAlZSUhFmzZiE8PBzDhg3D+fPn4e3tjfHjx5u94GupQg3Dl5ujo3Tn6smTQBFd1DDrwgWpx8OYMdb1pCJ62s2bB5w+bfy555/HvqwsZGRkIDAwUN9e5KYLQB0+fBjpJubsKJYh+NzcpHlEjFmzRpqDiIrHmjVAWprx5wYO1Pd+atCgAZydnW1SpKXzQOnKbtiwYZH0DrGU0XmgAgJMDy25aJHhsLVUeGvXGt/u6Ihfbt8GYHkPqNzzQJ0/fx7JycnIzOm9XZTBeZ2qVasiIiJCv15UAaigoCCEhoZCq9XioK5n7aBBQGGG03z3XWl4PU9PfPXVV9h35Qp6AzDZii9YAFy6VPDyiIiIiEiGASgiolIidwAqLi4OH374IUJCQjBu3DjExcWhUqVKmD17Nm7evIlp06ahXLlyhS6zZs2aAICzZ88Wel8AgMhIqSfSypWmh1wpSl9+CTRpAhQ2oEb0NLh0CfjoI9PPf/wxtm/fDgBo37690QvyoaGhCA4ORnZ2Ng4cOGB0N/Ycgk9XFgCgb1/jiRMSpDmIqHh8953x7f7+QIcOOHToEADbDoGnC0AdPnwYWWZuUiju+Z90dAEoWQ8oQJr70JiUFOCnn4q4Vk+hP/80ulnduDFO37gBAIiKirJoVy4uLvr5yHbt2oW4uDgAgLe3N9zc3GxQWfMUCoV+GD43Nzc0aNCgyMoyGIbPyUnq4eTubv3Opk2Tzu0cHHDjxg1MnToVAHDGzQ1fmsqj0UjziRIRERGRTTAARURUSugCUNu2bUNYWBhmzpyJ5ORk1KhRA0uWLMGVK1fw/vvvw8vLy2Zl6no02CwABQAKhTRXxZkzwPz51geivL2lngtffgns3i0NgfPPP9JFiGrV8s9/8iTQsKF0kZMTsxMZl5kpDWmUkmL8+X79gKZNEZMTqDE2/B4gXdRs2bIlANPD8BVLDygAeO45wNPTeIY5c4qsLmTGwYOm5xvr1w9QKoskCFS1alX4+/sjKysLx48fN5mupASg/HLmuDEIQA0YIAXqjPnqK9OfZ7Kembm1LtWrBwCIjIyEt7e3xbvMPQyfPYff0+mbE5R/7rnnoFQqi6wcoz0OIyOBH36wfCfOzsCSJdJcozk3P7z//vtIT09Hy5Yt8dlnn2EKgDumekn+9htvRiIiIiKyEQagiIhKCV0AKi0tDSqVCs2bN8f69esRGxuLIUOG2Gwootx0PaDyG4JPCIFt27ahX79+WLBgAYQlgR2lEnj9deD8eSmANG6c1DupbNnHaRwcgNBQoEsX4IsvgCNHpN4J69dLQ/q1agXUqgW0bCldhDhzRrqLNiDAfNmZmcBbbwHt2gGFmd+KqDTKygL69AGOHjX+vLs7MHs2kpKS9L1R2rdvb3J35uaBys7ORnx8PAD7zAGVlJSEjIwMaaObG9C9u/EMW7cCx44VWX3IhK+/Nv3cyJHIzs7GsZz/S+PCDNmVh0Kh0M8DZWoYvvT0dP13YXEHoIwOwQdI7+lRo4xniosDcnqHkA2Y6P0EADE5gW1Lh9/TyR2A0vWAKsxcntZq1aoVTp48iSVLlhRpOboeUPv370d2dvbjJ15+WTqHc3Exv4OwMOm8ccgQ/aZt27Zh1apVcHR0xNy5czFkyBBoXVzwoUplfB9CAJMmFe5AiIiIiAgAA1BERKVGREQE3n77bfTv3x979+7F3r170a1bNzg4FF1TX6NGDQBSrwGDO60BaLVarF+/Hk2aNEGnTp2wYsUKvP766+jSpYu8p4E5CoUUQJoxAzhwAHj4EMjIkCaiV6mAa9eADRuk+Zuio01Psg5Izw0aJAWVXnop/7J37QLq1ZMmpE5Otqy+RKXZpUvS53HTJtNpJk8GgoKwe/duaLVaVK1aFSEhISaT6wJQ+/fvhyrPxcD4+HgIIeDg4AB/Uz03bKBMmTJwybmoKRuGb8QI05mmTCmy+pARR48Cy5cbf65DB6BWLZw9exYZGRkoU6YMIiMjbVq8LgC1b98+o88fP34cGo0G5cuXR6VKlWxatrVMDsEHAG+8YfoC/ldfAadOFWHNniJ//GF8e6NG2JEzv5C1ASjdPFD37t3D7t27Adi3BxQA1K1b16peWwVRq1YteHt7Iy0tDSfz9iIbNEjqBfncc/qeTXoVKkjniufOSTcs5cjKysLo0aMBAKNHj0bdunXh5+eHvn374jcAt00dz+rVpm+0ICIiIiKLMQBFRFRKKBQKzJkzB8uWLdMPX1LUvLy89BeWcw/Dp9Fo8Mcff6B+/fro0aMHDh8+DDc3N/Tv3x8uLi7YvHkz6tSpg7WmJujOj6urdCe3uWCTOX5+wNKlwMaNQH5zYanVwPTpUk+rTz+VAmBET5uzZ6WeEzVrAjnDjBnVsaPU+xDId/g9nerVq8Pf3x+ZmZk4cuSI7DldMKhcuXJwLOjn3QIKhcL4MHwtWgA5gQcD69aZ7eVANiSEdJOBKW+9BQD6HnfR0dE2v/ki97Bgxnrx5h5+z9h8Z/ZkNgBVrhzw5pvGM2ZnS0NrpqUVYe2eAsePS4sxffro2zlrA1Curq76eaBWrVoFwP4BKHtwcHAw3+OwXj1g82bgwQOpN+r69VLQ6eZNqbe8q6ss+ddff40LFy4gMDAQk3PN7TRy5EhoAYxNTzddmY8/tsUhERERET3VGIAiIqJC0Q3Dd/bsWajVaixZsgQ1a9bE//73P5w+fRpeXl4YP348rl27hmXLluHo0aOoV68eHjx4gF69emH48OFITU0tsvqp1WqjPSsAAJ07A6dPS3NG5ScxUd+zA//7n3TBw8xk9ERPPLVa6nHSurU0lOW8edI2U8qXl4ZHyrnwrwtAmRt+D5CCP7peUHv27JE9pwsGFeXwezpGA1AKhXRB05RRo4AbN4q4Zk+gzEzpAvwffwDffAN8/rnUM2H+fCnwf/u2dfv7/nupR6oxNWtKbTkeB4FsOfyeTsOGDaFUKnHv3j1cuXLF4PmSMv8TYGYOKJ2PP5Y+r8acOycNf8s5EAvOzBB18W3b4tatW1AoFGjQoIHVu9YNw6cbXrE0BqCAx8Pw7d2713QiX1/ppodu3YDq1Y3elHTz5k189tlnAIAvvvhC1nvrmWeeQd26dfGHWo37pnotbt4s9b4nIiIiogJjAIqIiApFF4BatGgRqlatildffRUXLlyAr68vpkyZguvXr2PatGkol9PTqFatWjh48CA++OADKBQKLFy4EPXr18eBIviBf+3aNbRo0QLNmjVDy5YtcefOHcNE5cpJPRnmz5d6VeUnI0O6qNqjhzQfVdu2wMSJwMqV0gVXDtVHT7q7d6Xh5UJDpd4QRuZmMuDrC2zZAuQEiu7cuYNz585BoVCgbdu2+WY3NQ+ULhhkj4usRgNQANC1K2DqQvH9+9JQUA8eFHHtngB370rBpg4dAB8fICpKCta/847URo4fD4wcKb2eQUFASIj0/vrxR6nngikxMfpedUZ98YX+wnNRBoFcXV0RHR0NwPgwfCUpAGVyDiidMmWk182U334Dci7aPxW0WiA2FlixAvjuO2DxYmDbNqAgN8dkZkqvnzHt2uFQzpx2NWrUgGfOXFDW0AWgdJ6GAJRF84aa8P777yM9PR0tWrTAoEGDZM8pFAqMHDkSAoDZfk6ffFLg8omIiIgIcCruChAR0ZOtVq1aAB4PfRQYGIgxY8ZgxIgRJi+uuLi4YObMmejcuTNeeuklXL58GS1atMDEiRPx0UcfQalUFrpe69evx8svv4zExER9/Ro2bIg1a9agSa65AQBIvRxef10KJo0YAezcaVkhGRnSXfl578x3dZWG+fP1ffzXx0cKWOkWHx/pDvTwcCA4GHDiVzIVIyGA3buBBQuAVavM93TKKzBQuku8bl39pu3btwMAoqKi9BfDzdEFoPbu3QuNRqMfbq9EBKAcHICffpLmFNFoDDOeOycN0/f330BERJHXs8Q5eBD48ktpvhRjr48pN29KPex08zrVqQN06SIFsCIjpQv5f/whBUJMvR/btweefx4AkJGRgVM58xcVVRCoefPmOHDgAP79918MHjxYvz0xMREXL14EYP2wakXB7BB8OgMHSv+zNWuMP//JJ0DlylK60uraNWDuXOl9ZqxXnrMz8OyzwAcfSMNxWmLpUtND9b76aoGH39PRzQOVmZkJoPQGoBo1agSlUom4uDhcu3YN4eHhVu8jJiYGK1euhKOjI77//nujQ2MOHDgQY8eOxYLbtzGrZk145xpOWm/rVmDvXsvfA0REREQkwx5QRERUKO3bt4enpyeCg4Mxd+5cXL16FWPGjLHozt7WrVvj5MmTGDhwIDQaDSZPnowWLVroL+QVhFqtxtixY9GjRw8kJiaicePG2L59O2rVqoW4uDi0atUKS5cuNZ45MhLYvh349df854YyJzNTuph1+rQUnFq9Wrqj+ssvpZ4Ab7whXdRr3166YO3qKgWi2rUDhg8HZs6U5pY5ebJgd2DT0y0xEThxAtizR+q9dOqUdLE/JUU+rJZKJfXamz4dqFZNCsAuW2Zd8KldO2kfeXoI6QJQ+c3/pFO3bl2UKVMGycnJ+iAC8HgOqGINQAFAdLT5OYguXpTSrFtXRLUrga5eBfr2BZ55RuoBak3wyZjTp6Vh+jp0kHpHRUYCkyaZfj+6uko9rnIuKp84cQIajQblypVDcHBw4epigm5emrw9oHRBhfDwcPj7+xdJ2dawKAClUAALF0o3QJjy6quW9YB80ty/L33XVqkifS+bGhJSpQL++gto2VIa5s1YL+rc1GrpPWyMtzfQu3ehA1C554ECgAoVKhRoPyWdm5ubvseh2WH4TFCpVBg9ejQA4I033kDdXDdI5Obl5YWBOUHW78x9dtkLioiIiKjAGIAiIqJCCQ0NxcOHD3H16lW88cYbcLNkGLtcfHx88Ouvv2LZsmXw8fHBoUOHUL9+fUyaNAk3rJxb5ebNm2jTpg1mz54NAHj77bexZ88etGvXDvv370fPnj2hUqkwZMgQvPvuu8jOzjbciUIhBYfOn5eCRbnmCygyGo10J/bOndIFwQ8/BF54AahfH/DykoJhkZFAw4ZAmzZAp05ST4FevaQLwAMHAq+8IvXimjJFCnhduFD4C8L0ZMjMlAIAL78sXUwuW1YKCLVqJc3fVK+edEG/TBlAqZR65QUEAO7u0jBpEyZIARRrBAU9HqYqzwVQIYR+/idLA1COjo76IZdyD8NX7HNA5TZ5svk74BMTgZ49peHijM05V1pkZEjD6VWvLr3visvcudLcZDlyz/9krKeDLTRv3hwAEBsbq+9dm7vskjD8HmDBHFA6vr7SzQ6mvrdVKinwcvy4jWtYTDQaabjdatWk71prviM3bJB66a1ebTrNL79I3+XGvPQShKtroQNQgHwYvtLaAwqwcB4oE77++mucP38egYGBmDx5stm0I0eOBABM/vdfqPL2kNfZsUPqJUxERERE1hP0VElNTRUABACRmppa3NUhIpK5ceOGaNu2rb6dUigUonPnzmLNmjVCpVKZzbtp0ybh5+cnAAhvb2/x559/GqTRaDRi0qRJ+v23b99ePHjwwHylEhOFmDZNiMBAIaT+I0/O4uMjRP/+Qvz6qxD5HSc9eW7dEuL996X/s73eU02bCvF//ydERobJap07d04AEC4uLiI9Pd3iw5kxY4YAIHr37q3f1qZNGwFA/P7774V6qSyxZs0aAUA888wzphMlJAhRo0b+r1OTJkJcu1bkdba7EyeEqFmz+Nu2YcOE0GplVRs4cKAAICZPnlykL0HlypUFALF582b9tl69egkA4osvvijSsi314MED/fdcft+dQgghVq0y/3oHBAhx/nzRV7woHTkiRKNGtnn/vfKKEMnJ8v3HxQnh62s8vVIpxI0b4tatWwKAcHR0FGlpaQU+lN27d+v3k52dXcgXpuTStck1a9a0Kt/NmzeFh4eHACCWLl1qUZ5nnnlGABC/vvqq6f978+YG7Y5NaDRCxMQIMXGiEAMGCNGvn/T477+FUKttXx4RERHli9fPbYs9oIiIqMQIDg5GTEwMli9fjnbt2kEIgU2bNqFXr14IDQ3FxIkTcS3P3cXZ2dkYP348OnfujISEBERFReHYsWPo3bu3wf4dHBwwefJkrFq1Ch4eHti+fTsaN26MM2fOmK6Ut7d0t/+tW9I8AEOGSD1JngSJidLcFoMGSfP0dO4sDS+YklLcNbM/IYCsLCAtDUhKkv4KUdy1KpgLF6Tho8LDpeGjcvXEKBJublJ5x48D+/YBgwdLw5+ZoBt+r3nz5lb1iNTNA/XPP/9A5PxvSsQcULn5+kq9vmrXNr+zgwelXmim5td50ggBzJkDNG4MGJsjxRRnZ6mn1DPPSD04g4IKX5fRo6VeLHl6OdmrF5KxYfhKWg8oHx8f/eNHjx6ZTZuYmIgfHzxA0sSJphPFx0tDI16/bqMa2lFiovSeadQIyPk/FdqSJdLnW9cjJiND+p411eMsp3eqrvdT7dq14e7uXuDimzVrhkGDBmHChAn6+fJKI12Pw7Nnz+bfmy+X999/H2lpaWjRooVsrjZzdL2gPoqJgcj5LjLw77/me8BZSwjg55+lHu4dOgBTpwK//y7Nizd1KvDcc0CNGsBvvz255ytEREREABRC8GzmaZKWlqaflyU1NRUeHh7FXCMiItMuXbqEhQsXYsmSJbh//z4AQKFQoFOnTnjttdcQHR2NwYMHY8+ePQCkcf6//PJLuLi45LvvU6dOoUePHrh27Ro8PT3xyy+/oGfPnpZVTK2W5tjZu1e6IHHmDHDlypMz7JabmzSs0oAB0gUOC16vIpOeLg3/dv68tFy5Is17lZ4uXdRzc5OCgD4+0tBxgYFA+fLSX19fwNERcHCQ0sbHS8udO9KcHrrl1i1pW965ZJycpP3qlnLlgIoVpSHldItuvXx5afi64iKENKfTd99JQ2bZ4/QtIkKar+yVV6Rh/SzUq1cvrF27FtOmTcP48eMtzqdSqeDj44OMjAycPXsWNWrUgK+vLx49eqRfL0pXr15FREQEXF1dkZ6ebn4Yt8REoE8faVim/IwYAXz1lelhzkq6tDQp8L5qlWXpq1aVLsZ37iwNI+rkJH8+Ph44cEB6P2/ZIs1RZglvb2l+nddfNwg+JSYmomzOezQ+Pr5I52H68ccfMWLECLRr1w7bt2/H3bt3UaFCBSgUCiQlJcHLy6vIyrZG2bJlkZiYiHPnzqF69epG05w+fRq9e/fGpUuXEFm1Kk43bw7nn382vdPgYCAmRrpgXtJlZ0vD7E2aJL3nLOHkBISGQjx6BIWlAY969aT50JKTjT+vVALnzgGVK+Pjjz/G1KlTMXToUCxcuNCy/T/lqlevjvPnz+Ovv/5C165d800fExODjh07wsHBAceOHUO9evUsKicjIwOVKlXCo0ePsH/GDDzz4YfGE0ZESEH4wp433bghfbda8h0CAL17S4HPJ+UGKCIioiccr5/bWPF2wCJ7YxdCInoSZWVliZUrV4qOHTvq27Dci5eXl1i+fLnV+42Pj5cN+Td58mShLuhwJ9nZ0pBbe/YIsW6dEIsXCzF7thDjxwsxYoQ0FN6zzwrRuLEQkZGmh+qx9+LpKUTnzlJd9+613VB9KpU0fOHt20JcvCjEwYNC/PmnEHPmCPHmm0J06iRESEjxH781S0CAEHXrCtGlixDvvSfEggVC7N4txL17RTMsjxDSa/f110LUrm2fY3R0FKJnTyE2bhRCoxFarVZMmzZN9O7dW5w7dy7f6qrVauHt7S0AiIMHD1p9uO3atRMAxPz580VmZqb+s5mQkFCAF886aWlp+vISExPzz6BWS8MkKRT5v661aglx+nSRH4PNXbsmRL16lr136tYVYsMGaTgpa9y4IcSPPwrRvbsQ/v7yfSoUQtSpI8Snnwrx8KHJXWzbtk0AEOHh4YU7XgucOnVKABAeHh5CrVaL9evXC8D6YcKKmm6owH///dfo88uWLRPu7u4i93dpnx49hLZ3b/P/53LlpKEYSyqNRoj1660bKjIiQnoPJiaKu3fvijatWon2gDhsizY115CQzz33nAAg5s2bV4wv0JNl6NChAoAYN25cvmmzsrJE9erVBQDx1ltvWV3Wu+++KwCIrl27Sucopv6nkyYV5FAe279f+hxZ+16qXl2ImzcLVzYRERFZhNfPbQvFXQGyL36AiOhJd/nyZTF+/HgRGBgoAIh69eqJCxcuFHh/KpVKvPXWW/q2sVy5cmL06NFi3759QltUQQWdlBQhTp2SAla6wEznzlKASqksvkCLn5908a5pUylo1qmTEB06CNG2rRCtWknbo6Kki+pVq0qBpMBAaS4id3cpiFFcdS+upWxZIZo1E2LoUCmYt3GjEFeuCJGZmf/7QKsVIj5eei9s3CjEF18I8fLL0mtrj7orlUK0aSPErFlC3Lmjr5ZKpRIvvfSS/rPh6uoq5syZIzRmAgwHDx4UgDQPW0HmJvn0008FADFgwABx/fp1AUAolcqi/yzmKFOmjAAg/vvvv3zTPnjwQDrGLVuk4GR+r7Orq/TeeFLm9PjnH8uOKzBQiJ9+koLwthAfL8R//0lLUpJFWaZNmyYAiL59+9qmDmZoNBp9kPXo0aPi448/FgDEyy+/XORlW6NRo0YCgFi/fr1su0ql0l9oByA6dOggNm3aJJydnQUAMfvzz4Vo3978/9zHR5qfpiRRqaT56WrVsrztc3OT5njMyhJCCLFv3z5RsWJFoQswOgFiMiC0Dg4Fa1sbNJDqJYTQarXC399fABCHDx8uzlfqibJ48WIBQLRo0cLo81qtVpw4cUJ88sknonbt2kJ3Hvfo0SOry/rvv/8EIM0/evvvv4Uw9X9XKgt+Q8GyZUK4uBT8+zoiQojr1wtWNhEREVmM189tK8+YGERERCVbREQEpk2bhsmTJ+P48eOoV6+eRUPumaJUKvHNN9+gfv36+OCDD3D//n3MnTsXc+fORVhYGP73v/9hwIABqJ3fnC8F4ekJ1KkjLXllZwM3bwKXLgH370vD+yQnS8NhqdWPF5Xq8eOkJGlomEuXpEsVBZWQIC1kuUePpPmRcs0Lo+ftLQ0f6OIiDcekUEj/x9yLRlP4Ovj4AH374kadOtiVlIReI0fCy9NTGi7u0SPpr27RaqWhfMLCpCHTnJ1lu0pNTcULL7yALVu2wNHREdHR0Th06BDeeecdrF+/HkuWLEFISIhBFWJiYgAA7dq1K9DcJLp5oHbv3i2b/8nscHg2VL58eSQnJ+Pu3buoVq2a0TTJycn46KOP8P3336NOnTr4888/UeXECeB//wP++cf0zjMzgTFjpHnZFi6Uhu4qiYQAFiwA3nzTcNjKvHr3ltL6+ck2azQaPHz4EPfv30d8fLxs0W1zd3fH2LFjUatWLfk+/f2lxQq6OZgaN25sVb6CcHBwQNOmTfH333/j33//LXHzP+n4+voCgGzunHv37qFfv37YnTN30fjx4/HZZ5/B0dER3377LUaMGIEPPv4Yjf76C61SU6W5zIxJTASefx4YOxb49NPiG15SCGk43KVLpblzLB1qD5CGof32WyAsDEIIzPvhB7zzzjtQq9WoUaMGVq9eje+++w6f/PADTgQEYJWbGxzyzEFplq+vVKecoVtv3LiBBw8eQKlUoo6x73wyqkWLFgCAQ4cOITMzE66urtBoNNi/fz/WrFmDtWvX4sqVK/r0zs7OmD9/vmweNEtVq1YN7dq1w44dO/DDnj2YOmyY1L7lpVZLQxgfPGj5e18I4LPPgE8+sbpeMleuAO3bS0OY2mFuRCIiIiKbKO4IGNkXI7hERKapVCqxadMmMWjQIOHh4aFvLwGIOnXqiOnTp4urV68WdzXzl5Ym9cp4800hwsKKv3cQl6JdQkOF+O47oU1NFfPnzxcuLi4CgAgNDRUxMTFWv33u37+v7z3h7u4uNm3aJLRarfjhhx/0Q3aVKVNGLF261KBnkm4Ivblz5xbwrZsmlEqlACC++eYbAUA0atSoQPsqiFatWgkA4o8//jB4TqvVipUrV+p7SOgWb29vsW7dOqln06RJpu+az704Ogrx6qtClLT2JDVViJdeyr/+7u5CLFyoH3pSo9GImJgY0a9fPxEQECAUCoXsNTK1ODo6irfffrtAvRWEECIxMVF89NFH+vf87t27bfhimDZlyhQBQPTr10/4+fkJoGBDThalAQMGCADiq6++EkIIsX//fv1718vLS6xevVqWXqvVipdfflkAEAEBAeLW6dNSb9f83gshIULMmydEcnLRH1R2thAXLgixfLkQw4YVbBjXkBCp13GOtLQ0MXjwYP178sUXXxTJOceSkpIiwsPDBQDx9iuvWPbZAKRegXl6yKxatUoAENHR0UX/OpUiWq1WlCtXTgAQs2bNEsOHD9ev6xZXV1fRo0cP8fPPP4sHhRxGeOXKlQKACAwMFKo7dwyHBc29vPKKZcPvZmQIMWBAvu8bFSA2AOJmnTpCk9/3SJ06ZoclJSIiosLh9XPbUgghRJFFt6jE4SRqRESWSU9Px4YNG/D7779j06ZNUOfqCRAdHY1KlSrBy8tLtpQpU0a27ubmhszMTGRkZJhcMjMz4eLighYtWqBVq1aFmsD+5s2b2LVrF7RaLV544QWpjRcCOHQIWLZM6nlx754tXh4qCWrVAj78EOjXD8kZGXjttdewfPlyAICHhwfS0tIAAKNGjcLMmTP13//mXLlyBc8++ywuXboEPz8/bNy4EU2aNNE/f/HiRbz00ks4cOAAAKBXr1748ccfERAQgPT0dJQtWxYqlQr//fefyR5E+WnevDn27duH5s2b499//0XXrl3x119/FWhf1urXrx9WrFiBOXPm4O2339Zvv3btGkaPHo2NGzcCAKpUqYJp06Zhzpw52JfT6+2jjz7C5MmT4bh3LzBwIHD7dv4FKpXAyy9Lk9E3bSr1jisuZ88CffsCZ86YTxcaCqxfD9Sti7i4OPz8889YuHChrBeCjq+vLwICAowuu3btwtq1awEAAQEBmD59Ol555RU4ODjkW9WsrCzMmzcPU6dORUJOb83nn38e69evh5NT0Q/wsGPHDrRv3x6enp5ITU2FUqlESkpKoXrj2tqbb76JuXPn4qOPPkJQUBDeeustqNVqVK9eHWvWrEH16tUN8qSnp6NZs2Y4efIknnnmGezeuBHOffsC27fnX6C7O9CqFdCwIRAcLPXw9fCQeoukpQGpqdKie6xWSz0/NRqpx2/un6S6z4FCAaSnSz2b4uOBixel9YJwdQXeew+YMEGqF6T2rnfv3jh58iQcHR0xc+ZMvPfee7Iel7t27ULbtm0BAFu3bkVHZ2epJ+ORI8bL6dED+O476TXI5cMPP8TMmTPx+uuvY/78+QU7hqdU7969sWbNGtk2b29vdO3aFb169cJzzz1ns9+0arUaISEhuHv3LlasWIEXVSpg0CDTGT76CJg61fTzd+9KPUX37zdb7iFHRwzSaNAu5/2hOnoUt5s2Rbi5XqhNmwJbt0qfNSIiIrIpXj+3seKOgJF9MYJLRGS9hw8fioULF4p27dpZfGd/QRYnJyfRrFkzMXHiRLFz506Rmc/8Qbdu3RK//vqrGDp0qIiIiJDty9/fX0ydOlXes0CtFmLbNumuXW/v4u+5k3tRKqUJtnv0EGLECCHef1+Ijz4S4t13pZ4ivXoJ0by5EFWqCOHlZXo/vr5CVKsmRLt20t3q48cLMXeuEGvXCrF3rxCHDglx9Kg0CfjmzdJ8DPPmCTF1qhBvvCFE797SXf+hoUI4Oxf/65J3USiE6NZNqnvOXEzHjh0TVapU0b+HvvjiC5GUlCRGjhypfz+Eh4eLnTt3mn0/HTt2TD+3WlhYmMl5kNRqtZg2bZq+p1K5cuXEunXrxNatWwUAUalSpULN2fThhx/K3svDhg0r8L6spZsP7sMPPxRCSL0iZ82ape/5pVQqxaRJk0RGRoYQQpr0Pvccch07dhTx8fFCPHggvZet+d9WrizEO+9I78lLl4zPH6bVCpGYKD1/4IAQGzYI8fPP0txSH38sxJQp0hxi338vxJo1Ui+M9HTzBx0fL8S4cZbNO9eqlciOixMbNmwQPXv2FI6OjvpjL1OmjBg5cqTYt2+fiIuLE6qcuW/M2bJli6hWrZp+Hw0bNhQHDhwwmV6j0Yhff/1VhIWF6fNUr15drFmzxm7zhAkh9YzJfewlsVfLpEmTBABRtmxZfT379Omj791jyqVLl4SPj48AIEaPHi313ujevfjbvsIsAwcazJuzceNG/XEGBASIHTt2mHxNRo8eLQCI4OBgkZSUJH0OT52S5o8aOlTqjTVjhhBnz5rcR/v27QUA8dNPP1n3jyTxxx9/CACifPnyYsSIEWLLli0iK2ferqLw0UcfCQCiXbt20v+6a1fz76/XXzdsr7VaIVassGgevXW+vsIZUm/f3Od9f//2mzia33u7Y0fL5pokIiIiq/D6uW2xB9RThhFcIqLCuXPnDvbs2YOkpCSkpKQgJSUFycnJ+se5F918Ba6urnBzczNYdNsfPnyIHTt2GPQgcHNzQ4sWLdC+fXu0b98eFSpUwD///INdu3Zh586duHjxoiy9g4MDGjZsiAcPHuj3VaZMGbzxxht45513UK5cuceJVSqpZ9TOncCOHcCxY9IcU0XJxUW6KzwoSJp3qFq1x0t4OODkBCEEYmNjsWnTJvj7+6Nnz57wyzO/DADpLvjUVGkuI60WcHKS5tww0vtBpVLhyJEj8PHxQdWqVaHMmZMjX0JIcyfFxQF37kh/b98GLlwAzp8H/vtPer6oKRRSr4IuXaTeMmFhOdUTmD9/Pt59911kZWUhODgYy5cvR9OmTfVZt2/fjqFDh+L69esAgNGjR2PGjBkG3//bt29Hr169kJKSgnr16mHz5s2oUKGC2WqdOHECgwcPRmxsLAAgNDQU169fx8svv4yff/65wIe7efNmdO7cWb8+ceJEfPbZZwXenzWmT5+OCRMmYMiQIXjttdfw+uuv4/Tp0wCA1q1bY/78+UZ7jixbtgzDhg1Deno6goODsWrVKjRu1Aj48UdpnpzU1IJVqEwZadHN95aSIvUWsVZICFCjhrQEB0u9QR4+BA4flu6gz8zMdxcpAwfi67Aw/LR0KW7duqXf3qxZMwwfPhwvvvhigc4rVSoVvvvuO0yePBkpKSkAgCFDhmD69OkonzPHiRACW7duxbhx43Dy5EkAQMWKFTF58mQMGTLELr2e8oqOjsaxY8cAACNGjMC8efPsXgdzvvnmG7zzzjsApO+G6dOnY+zYsRbNp7ZhwwZ069YNAPDrr79iYL9+Us+hL74oyirblkIB9Okj9RKNjtZv1mq1mDJlCqZMmQIhBJ555hmsXLkSQUFBJneVlpaGunXr4sqVKxg+fDgWGJsXyIwjR46gTZs2SEtLw/Hjx1G/fv2CHtVT6+HDh/Dx8bGoh2Rh3bhxA+Hh4dBqtVJvXn9/oEEDaV5OU8LCgJEjpXObq1eB336TzqvMUSiwqmFDvHj4MPz8/HDs2DGDuRX7deqE8du2ob65/fTsKfVwL0E9MImIiJ50vH5uW09EAOry5cs4dOgQbt26BZVKhbJly6J69epo1qwZXF1di61eQggcO3YMJ06cwP379wEAgYGBqFevHqKiouw2YbY1+AEiIiq5rl27hu3bt2P79u3YsWMH7uUzXJ6DgwMaNGiAtm3bom3btmjRogXKlCmD7OxsrFixAtOmTcOZnOG0XF1dMXz4cIwZM8bgAgcAKdhy754UVLlxQ5pkPjFRuuDt4AA4OkrBHUdHadgwZ2fpYofub+7Hzs7SxNzu7tJQR+7u0hAxZcsaHWJMCIEzZ85gxYoVWLlyJf777z/9c05OTmjfvj369euHnj17omzZsha9lomJidi0aRPWrVuHzZs36y9sK5VKVKtWDbVr10atWrX0fyMiIuDo6GjRvmWvWXy89JqdOydfzF2oyk9QEFC7trTUrw907AjkDh4CSE5OxvDhw7FixQoAQNeuXbF06VL4+voa7C4lJQVjx47Fjz/+CACIiIjA4sWL0bp1awDAH3/8gZdeeglqtRpt2rTB2rVr4e3tbVFVMzMzMWnSJMyePRu6U8pffvkFg8wNWZSPpKQklC1bVr+/7777DqNHjy7w/qyxZMkSvPrqq/D29kZycjKEEPDz88Ps2bPx8ssvmz23i42NRe/evXHx4kU4Ozvj22+/xWuvvQbFrVvAqFHAhg12OQZbE0ol1rZujT4xMdD9aPD19cVLL72EYcOGoVatWjYp5+7duxg/frw+eOnl5YVPPvkEzZs3x0cffYQdO3YAkILqH374Id5++224u7vbpOyCeOutt/Ddd98BABYtWoRXX3212OpizF9//YXu3bvDz88Py5cvR/v27a3KP2nSJHz22Wdwc3PDgQMHULduXWDtWmDEiJI9lKuHhzQE5vvvA5GRAB5/x/z5559YuXKl/ntx1KhR+OqrrywaOnH37t1o06YNAGDLli3o1KmTRdVZtmwZXn31VWRmZiI6OhoHDhwoloApWadbt27YsGED3n33XXz11VfSEHpt2kg3AtiCmxu2DRmCTvPmwcHBAVu2bEGHDh0Mkl24cAHtatXCjuxsRJrbX7t2wKpV0nkWERERFRqvn9tYcXS7stSaNWtEVFSUvstb3sXT01OMHj1aGurEjlQqlfjiiy9EpUqVTNYtKChIzJ4926LhR+yJXQiJiJ4MWq1WxMbGim+++UZ0795dlClTRigUCtGgQQPx7rvvivXr18uH1zNCo9GItWvXikaNGunbficnJ/HKK6+I8+fP26SeGRkZ4urVq2Lfvn3i0KFD4tatW0KtVluUNzY2VkyaNElUr15d9h3q7OwsunTpIurXry/brlQqRefOncXPP/9s9NivX78uvv32W9G+fXvh5OQkyxsQECA8PT1Nfm+7urqKqKgoMXDgQPHqq6+KQYMGiX79+olevXqJrl27ik6dOom2bduK5s2bi8aNG4tGjRqJV155RSxevFhcvHjRcPiv5GQhzpwRYudOIZYvF2L+fGkowK+/FuKrr6T1X34RYvVqIbZsEeLwYSFu3RLCgvOGY8eOicqVK+v/n7Nnz7Zo+LFt27aJkJAQ/TG/+eabYtasWfr1F198Md9hH035559/REREhPD19bXJeVmDBg309Vq5cmWh92epTZs2yd4XQ4YMsep4EhMTRc+ePWX509PTHw/HVLly8Q9HZsWiDQ0VEzt10h9P27Ztxe+//64fgrAo7N+/XzRs2NDgM+rs7Czeffdd8eDBgyIr2xrLli3T1+3UqVPFXR0D2dnZYsOGDSIuLq7A+Tvl/O+rVKnyuM1NSBBi1CjLhmy01+LgIA27+n//J0TO7xutViuOHj0qJkyYICIjI2XvJTc3N7F06VKrXxPdcJtBQUEiMTHRbFqNRiMmTJigL7Nr167S8H30RNi4caMApCEs03XDmP75p/ReK+z7tUIFcfaXX4SLi4sAID7//HOzdfnggw9EMCDuODqa329wsBCbNknfN0RERFQovH5uWyWyB1RWVhaGDh2K3377zaL0AQEBWLVqFVq1alXENZMmeO/RoweOHz9uUfro6GisW7cOlSpVKuKaWYYRXCKiJ1N2djaysrIK1G4LIbBjxw5MmzZN34tAoVCgRYsW8PX1hYeHBzw9PeHp6al/nHtbZmYm7t69i7i4OP2iW09MTDQoz8HBAYGBgahYsSIqVqyISpUq6R8HBgbiyJEjWLFiBc6dO6fP4+zsjOeeew59+/ZFt27dUKZMGQDS3b8rV67EihUrcOrUKX16pVKJZ599Fr1798aNGzewdu1anDhxQlaPmjVrokePHujRowcaNWoEhUKBmzdvIjY2FrGxsThz5gxiY2Nx9uxZZFowBJk5FSpUQMuWLfVL7dq1zfaoyszMlL2eCQkJcHZ2NjtUo5ubG9asWYN3330XKpUKISEhWL58OZ555hmL65mcnIwxY8bgp59+km1/8803MWfOnEINb6TRaJCVlWWTXinvvPMOvvnmGwDAnj170KJFi0Lv0xJ3795FtWrVULFiRcybN0/f48EaQgjMmjULEyZMgFarRf369bFgwQI0bNgQiuxs4P/+D5gyReppWIKpn30W/TIzsWb3bjg5OWHJkiWF6tlmDa1WiyVLlmD8+PF48OABBg0ahClTpiAsZ/jJkuDOnTuIiIiAt7c3bt++XSp7tSQkJCAqKgo3btxAjx49sHr16sdtxPXrwHffAb/8AuSMBGE3CgVQpQrQujXQqRPQvj3g6wutVotDhw7hzz//xJ9//omrV6/qszg7O6NTp07o06cPunfvbrS3aH7S0tJQr149XL58GUOHDsXChQuNpktJScHgwYOxbt06AMC4cePw+eefW9/LloqNRqNB5cqVcf36dXTq1AlLlixBxYoVpaH1hgwp2FCoABAVhUc//4wG3brh+vXr6N69O9asWWP2uzclJQXVqlVDmbg4HPXwgEdamvkyGjYEXnhB6kFdtqw0xGpystSrPS7OcHn48HFPd2dnoEIFadjWkBCpF2GtWtJiYc9oIiKi0oDXz22rxAWgtFotevfurT9h13F0dERISAi8vb1x9epVJCUlyZ53d3dHTEyMbN4DW7t//z6aNWuGy5cvy7a7ubkhIiICWq0WV69eNbiIVbVqVezbtw/+/v5FVjdL8QNERPR0O3DgAKZNm4a//vrLZvt0dnZGhQoVoNFoEBcXB41GY3G+Z599Vh90ym/Yt//++08fjNLNO5Sbg4MDmjVrhp49e6J79+6oWrWqRfXQaDS4evUqYmNjcf78eWi1WiiVSjg7O5v8q1arcfjwYfzzzz84fPgw1Gq1bJ/e3t5o3rw5GjdujLS0NFmwKS4uDo8KOXdUt27d8PPPPxfoIioAbN26FcOGDcPNmzcxbdo0fPjhhyVq6ODVq1ejT58+AICLFy+iSpUqdis7IyMDrq6uhX49duzYgf79+yM+Ph4AUKVKFfTr1w/9+/dH7chIYM0a6eL9338DFn5m7CIgAEmTJqHtokU4fuIEPDw8sHr1aouHHLOltLQ0PHz4EMHBwXYv2xKHDx+Gp6cnatSoUdxVKTJHjhxB8+bNoVKpMG3aNIwfP16eIDsbOHgQ2LULOHUKuHhRutidmgqkpUlDtnp6SkPjeXoCnp7QursjVaVCelYW3Ly84FmmDBx1c/Ppfprq/jo5Af7+QEAAUL48ULOmtHh4ICkpCSdOnMCxY8dw7Ngx7Nq1SzY/mZubGzp37ow+ffqgS5cu+hsbCmPPnj1o3bo1hBDYvHkznnvuOdnzV69eRffu3REbGwsXFxcsXLjQboFbsq01a9ZgwIAByMzMhK+vL+bNm4e+ffsCe/ZIAR5rAq8ODsDYsdB88gm69OqFLVu2oHLlyvr5KfPz66+/YvDgwWjq6oq9SiUccoYVtqugoMfBKN1Ssybg5ZV/3uxsICEBePBAGrpYtzx8KD3v5CQtZctKn/Py5YHAQGmxdN5OIiIiG+L1c9sqcQGomTNn4sMPP5RtGzFiBD7++GPpriNIQap169bhnXfewY1cd48GBQUhNjbW4nkLrNW5c2ds3rxZv+7q6ooZM2Zg+PDh+rt909LSsGDBAkyYMEEWiOrWrRvWr19fJPWyBj9AREQEAGfPnsWxY8eQlpaGtLQ0pKam6v/mfaxUKlGhQgXZUr58ef1jHx8f/cV6jUaD+Ph43LlzB7dv38adO3cMHoeEhODFF19E9+7dC/ydfebMGaxcuRKbN29GhQoV0KNHD3Tt2hUBAQG2fJkskpGRgUOHDmHPnj3Ys2cP9u3bh9TU1Hzzubi46F9Df39/qNVqZGRkmFwyMzPh4eGBTz/9FO+9916hAyQZGRm4d+9eiepVohMfH4/y5cvDwcEBjx490p+7PGlu3bqFMWPGYP369cjIyNBvr1WrFvr3749+/fqhqrc3sG4dsG+fdCE/V8/AfCmV0Pr5Id3NDQ+0WqQmJkKdkgJvrRYhAKzqk1OxIvD227jcsSM6vfACrly5goCAAGzatAkNGza0Zk9Uyvz000947bXX4ODggBdffBGhoaEIDg6WLf7+/gZtkkajweXLl/W9TXV/L1y4IAvaOzg4ICwsDJGRkfqlatWqiIyMRHBwMBwdHREfH4/jx4/rg03Hjh0zuCkQkOYO69q1K/r06YPnnnuuSH7rvPvuu5gzZw4qVaqE2NhYfQBh9+7d6NOnDxISElC+fHmsXbsWTZo0sXn5ZD/nzp3D4MGDcfToUQDAwIEDMXfuXPioVMAnnwA//ZT/DQRdugDTpwN16hifW80CQgi0aNEC+/btw0fPPoupx45JAZySICQECA19POenRgOkp0sB6IQEqZ6PHj0OKlurXDkp+FWpknwJDHwcqCpXjoEqIiKyKV4/t60SFYBKSEhAeHi4fqJwAJg+fbpBQErn9u3baNGiBa5du6bfNmnSJEyePNnmddu6dSueffZZ/bpSqURMTIzJYf92796Njh07yn5c7dixA23btrV53azBDxAREVHRys7OxsmTJ7Fnzx6cPHkSPj4+BgG8ihUrygJ3lhBCQAhRqGHyniSrVq2CRqNBv379irsqhZaamoq//voLf/zxBzZv3iw7P4yKikL//v3Rt29fVKxYESIpCbh5E4iPh7h/H8jIgFAqIZRKaJ2dkeHhgWM3bmBXbCy2HzqEY8ePIzvPcFDe3t4I9PWF5upVVAPwTJky6Fu3Lqo6OsIhIQFQqwE3N+nCYZ06wLPPAs2a4cjx4+jcuTPi4+MRERGBLVu22LX3GZVMQggMGzYMixcvNpnG1dUVQUFBCA4Ohp+fHy5duoRz584hKyvLaHpPT0+EhITgxo0bZgP2Li4u8PHxwb1794w+HxoaiqioKERFRaFhw4Zo06YNXF1drTtAK6Wnp6N+/fq4ePEiXnnlFSxevBg//vgjRo8ejezsbERHR2Pt2rUICgoq0nqQfajVanz22WeYNm0aNBoNgoKC8PPPP6N9+/bA1avA8uVST9aLF4GkJKlHUPXq0hCRAwYAkZFITU3Fb7/9hhEjRgAAfvnlF6t7xh07dgwNGzaEEAKHli1DoylTrLthobTz9X0clAoNlYYPrFpV+lulihQcIyIishCvn9tWiQpAjRs3DrNmzdKvt2rVCrt27TJ7cWb79u3o0KGDft3LywtXr16Fn5+fTevWpEkTHDp0SL/+8ccfY8qUKWbzfPzxx5g6dap+vVmzZvj3339tWi9r8QNEREREVHwePXqEtWvXYvny5YiJibF4yEpzgoKC0LJlS7Ro0QItW7ZErVq1AAC//fYbJk6cqB8xoGbNmpg+fTq6detmcH69ZcsW9OnTB2lpaYiKisKmTZsQGBhY6LpR6aDVarFx40acP38eN2/elC2mgkOANAxejRo1ULt2bdSqVUv/NyQkBAqFAkII3L17FxcvXsSFCxf0y8WLF3Hp0iWoVCr9viIjI/XBpqioKNSvX9/mv/ks9e+//6Jly5YQQqBLly7YuHEjAKB///5YvHgx3NzciqVeVHQOHDiAwYMH49KlSwCAt99+G9OnTzf5v7537x7++usvrF27FjExMfpg7BtvvIG5c+cWqA6vv/46FixYgHr16uHonj1w/OADYP78gh3Q0yY4GKhWTb5UriwFrTw8pLnl7EkIaajShw/lS2oqoFJJCyAFznS9y9zdAR8fKdjm6wuUKSMN70hERDbH6+e2VWICUFqtFuXLl9ePkw9Y3mOoVatW2LNnj379hx9+wMiRI21Wt9OnT8u6x3t4eCAuLg5e+Yx3nJKSggoVKiAt10ShZ8+eLdZx4vkBIiIiIioZ4uPjsXr1avzxxx/YvXs3LD0tr1WrFlq0aKEPOOku5huTmZmJH374AZ9//jke5sy30aJFC8ycORPNmjUDIM0v8sorryA7OxsdO3bEn3/+me95LpFOVlYWbt26pQ9IPXjwABEREahVqxbCw8Ph6OhYoP1qNBrcuHED8fHxqF69uk3mcLKl9957D19//bV+ferUqZgwYUKJmk+PbCstLQ1jx47FvHnzAAA1atTAL7/8gujoaADAhQsXsHbtWqxbtw779++XtemVK1fGgAEDMHHiRDg7Oxeo/Pj4eERGRiIxMRHz5s2TelQdPgxMmADExBT+AJ9Wbm7SMH4BAVKQx8UFcHWV/uoWR0cp2KNb8q7n3iYEkJX1eMnMBBITHweZEhKkv3l6L1vNwUEekCpb9vHj3OuenlLddPXTPVYopLqaWgDT252cpNfIzU36a2opYPtPRFTceP3ctkpMAGrv3r1o2bKlfj0iIgKXLl2y6AR+6dKlGDJkiH69U6dO2LJli83qNnXqVHz88cf6dd1QC5Z45ZVX8PPPP+vXjU7ea0f8ABERERGVPGlpaVCpVFAoFHBwcIBCoZAtum2Ojo5wcrJqdicAQGJiImbNmoU5c+bo56Pq2bMnateure+xP2DAACxZsqTAF0eJnibp6elo2bIlLl26hKVLl6Jnz57FXSWyk82bN+PVV1/F3bt34eTkhP/97384cuQIzuUZEq9Ro0bo0aMHevbsiZo1a9okODl37ly8+eab8PX1xYULFx73Arx4EVi+HNm7dkEcPw5lzg0HAJDl4IBkIXBPCMQBsuWhoyOCQkIQERaG7EePkHL2LMqrVKgCoBaAkhX2pSeOLlCVd3FxAZydDRel0vy6NWl084KZCrBpteYDcJYsufcBSEG9vIFJUwHLgqTLXaZWa/nj/JbCXha2RX5zdXdwMP5+yb0YCxw7O9u/dyOVGrx+blslJgA1fvx4zJgxQ7/++uuvY76F3cnv3LmDSpUq6dednZ3x8OFDm705mjZtigMHDujXly1bhv79+1uU9/fff8fAgQP168U9DB8/QERERERPr9u3b+PTTz/F4sWLodVq9dvff/99zJo166mZY4zIFlQqFYQQcHFxKe6qkJ0lJCRg5MiRWLlypX6bUqlE27Zt0bNnT3Tv3l12jcJWsrOz0aBBA8TGxqJHjx6oU6cOrly5gsuXL+PKlSv6EWUcAHgAyACg62fj6uqK+vXr64exjI6ORs2aNWU3HajVauzfvx+bN2/G35s348HJk6gNKRhVC0BdR0fUEALuub4/rJUEIB5AopMTXDw9oVWpoElPRwCA8gCUBd4zEVEezs6GgSndottuzY1d5gKYpoKaRZkWkPds1C1OTobbCvO8g8PjAKtCkf9jU0FVS9d1+zLHkuBiIdKkZWXB8/XXAfD6uS2UmADU888/j7///lu/vnTpUrz00ksW5w8PD8e1a9f064cOHUKjRo0KXS8hBDw9PZGenq7fdv36dYSEhFiU//r16wgLC9Ove3h4ICUlpdiGZmAAioiIiIjOnTuH8ePHY+vWrZg6dSree++94q4SEdETRQiBVatW4Z9//kHz5s3x/PPPw9vbu8jL3bVrl9mpCvz8/BAREaFfqlWrhujoaFSvXt3qHrRxcXHYsmUL/v77b2zduhWPHj2CAkAIpIBUNUi9pDwAuEMKdqVDCnwlQgo0xQNwKFcOlerXR+XGjVG3USNERUWhUqVK+usi6enpOHnyJA4fPIj/9u/HrcOHkXX1KioCqAQgKOdvJUhBqnIArO8LTEREZJk0AJ45j3n9vPBKTAAqLCwM169f168fPnwYDRs2tDh/ly5dsGnTJv26tQEsU65du4bw8HD9uoeHB1JTU63ah4eHR4EDWLbGABQRERER6Wi1WvZ6IiJ6wkybNg3//PMPwsPDZcGmiIiIIguCZWdn4+jRo4iLi0NmZiaysrKQlZVl9HFmZiYqVKiA6OhoNGjQAOXKlbO6vJSUFBw7dgxHjhzBiRMnIISAl5cXPD094enujnKOjvDXaOCrVqNsVhbKZGTA7eFDZJ89C5cbN+CXlMTeVEREVCAMQNlWibhpJCMjAzdu3JBtCw4OtmofedOfP3++0PUyth9r66XLk3s/58+fL7YAFBERERGRDoNPRERPngkTJmDChAl2LdPJyQlNmjSxW3leXl5o3bo1WrduXbAdZGcjLTYWV7dsQfzevcg+exZet28jJCsLFW1bVZvIdHOD1tMTju7ucHB1RbZaDZGaCkV6OhyysqBUq8FvbCIiehKViADUgwcPkLsjllKptPoOmbzjK9+/f98mdcu7n6CgIKv3UalSJVkAypZ1043xbKncPbGIiIiIiIiIiEodJyd41K+P2vXrA+PG6Tffu3cPOw4cgPLhQ7ilpsItORmuyclwSU2Fk0YDx+zsx4tKBahUEBoNhFYLodEA2dmPH2s0QK7HImeuFo2Tk7Q4OiLbyQlqV1dkenhA5eUFr9BQ+FetirKVK0Ph7w/4+gI+PnB1dJRV36D3llYLJCUBjx5BJCQg5cYNpFy7huwHDyAePAAePoTi0SM4JCXBKSUFypQUuKSlwVGthkKrhYMQUAgBh5xFRwD6+VZyP9bPi2LksUKjgUNWFhQlY0AlIiIq4UpEACrvkHbu7u5Wz5GUtyuctcPkmZJ3PwXpcldUdfvhhx8wefJkm+yLiIiIiIiIiKg0CwwMRGCPHsVdDes5OABlywJly0IREYEyjRqhTHHWRwggOxvIyAAyM61bMjIAtVpacoJ8UKmMrousLGgzM6HJzNRvU6jVUKhUQHb248c52/V/zVU9d5DNykWhe+zgYPi8EFJAUquVBSaRsw6tVgra6f7ak67ODg4QOX9zH4Op2uR7bVYICECfX9e5QAihf06he910j3Pqo98GyOuTt35arey9IRj8JHrilMgAlKurq9X7cHNzM7vPgirJdSMiIiIiIiIiIrIrhQJQKqWlTNGFwhQAHHMWiwkhBSxMBZGKpqp6ijx/TdYxJxgFrdYgUGWwaDSGARpjj3XH6ehoEGTKWz9jdS7M8dqLApBeD5UKyMqS/mZmSo/zLsa2592m0VhWsBCmg4/GthVV2rz/U937I/eSnW24rTDP5/Tu1L9nzT3W/c37nrZ2Pb//hSX/r8Kk0WqBW7fy3wdZpEQEoDIzM2Xrzs7OVu/DxcVFtp6RkVGoOumU5LoRERERERERERFRDoUCKMC1O7vKHUwg6zk6Am5u0kJUFNLSAE/P4q5FqVEiAlB5exWpVCqr95GVlWV2nwVVkus2atQovPjii1blSU9PR+PGjW1SPhERERERERERERERkTElIgDlmSeimLfXkSXy9irKu8+CKsl1K1euHMqVK2dVnrS0NJuUTUREREREREREREREZEqJ6OuZNyCTnp6un7jOUnkDK0UVgCpIAKeo6kZERERERERERERERFQSlYgAlL+/PxS5JsRTq9W4f/++Vfu4ffu2bN3ankGm5N3PrQJMQFZUdSMiIiIiIiIiIiIiIiqJSkQAys3NDSEhIbJtN27csGofedNXr1690PUCgGrVqsnWb968afU+8uaxVd2IiIiIiIiIiIiIiIhKohIRgAIMgzJnz561Kv+5c+fM7q+gQkND4ebmpl9PS0vD9evXLc5//fp1pKen69c9PDwQHBxsk7oRERERERERERERERGVRCUmAFW/fn3Z+r59+yzOGxcXh2vXrunXlUolatasaZN6KRQK1K1bt8B1+/fff2XrdevWlQ03SEREREREREREREREVNqUmABU165dZesxMTEQQliUd+vWrbL1tm3bwtPTs8jqtm3bNovz5k3brVs3m9SJiIiIiIiIiIiIiIiopCoxAahmzZrB399fv37lyhXs2rXLoryLFi2Srffo0cOWVUP37t1l6ytXrkRqamq++VJSUrBy5coirRsREREREREREREREVFJU2ICUA4ODhgyZIhs2+TJk/PtBbV9+3bs2bNHv+7l5YW+ffvatG5169ZFo0aN9OupqamYNWtWvvlmzZqFtLQ0/fozzzxjs6EBiYiIiIiIiIiIiIiISqoSE4ACgHHjxsmGztu9ezdmzpxpMv3t27cxbNgw2ba3335b1pPKGIVCIVss6Wk1ZcoU2fqMGTPwzz//mExvrO5Tp07NtxwiIiIiIiIiIiIiIqInXYkKQPn7+2PChAmybePHj8eoUaNw584d/TatVou1a9eiWbNmuHbtmn57xYoV8f777xdJ3Z577jl06tRJv65Wq/Hss8/im2++QXp6un57Wloa5syZg+eeew5qtVq/vXPnzmjfvn2R1I2IiIiIiIiIiIiIiKgkUYj8xrizM61Wix49emDDhg2y7Y6OjggNDYW3tzeuXr2KxMRE2fNubm7Ytm0bmjdvnm8ZCoVCtr5z5060adMm33z37t1D06ZNcfXqVYOyIyIiIITAlStXkJmZKXu+cuXK2L9/PwICAvIto6ilpaXpe5mlpqbCw8OjmGtERERERERERERERFT8eP3ctkpUDyhAmgtq5cqV6N+/v2y7RqPBlStXcPz4cYPgk5+fHzZt2mRR8KkwAgMDsXPnTtSrV0+2PSMjA2fOnMHZs2cNgk/169fHzp07S0TwiYiIiIiIiIiIiIiIyB5KXAAKAFxdXbFs2TKsWrUK9evXN5nOw8MDo0aNwtmzZy3qwWQLoaGhOHToEGbOnImKFSuaTFexYkXMmjULBw8eRHBwsF3qRkREREREREREREREVBKUuCH4jLl06RIOHjyI27dvQ6VSwcfHBzVq1EDz5s3h6upabPXSarU4evQoTp48ifv37wMAypUrh/r16yMqKgoODiUvvscuhEREREREREREREREhnj93LaeiAAU2Q4/QEREREREREREREREhnj93LZKXhcdIiIiIiIiIiIiIiIieqIxAEVEREREREREREREREQ2xQAUERERERERERERERER2RQDUERERERERERERERERGRTDEARERERERERERERERGRTTEARURERERERERERERERDbFABQRERERERERERERERHZFANQREREREREREREREREZFMMQBEREREREREREREREZFNMQBFRERERERERERERERENsUAFBEREREREREREREREdkUA1BERERERERERERERERkUwxAERERERERERERERERkU0xAEVEREREREREREREREQ2xQAUERERERERERERERER2RQDUERERERERERERERERGRTDEARERERERERERERERGRTTEARURERERERERERERERDbFABQRERERERERERERERHZFANQREREREREREREREREZFMMQBEREREREREREREREZFNMQBFRERERERERERERERENsUAFBEREREREREREREREdkUA1BERERERERERERERERkUwxAERERERERERERERERkU0xAEVEREREREREREREREQ2xQAUERERERERERERERER2RQDUERERERERERERERERGRTDEARERERERERERERERGRTTEARURERERERERERERERDblVNwVIPsSQugfp6WlFWNNiIiIiIiIiIiIiIhKjtzXzHNfS6eCYQDqKZOenq5/HBgYWIw1ISIiIiIiIiIiIiIqmdLT0+Hp6Vnc1XiicQi+pwx7PRERERERERERERERmcdr6YXHHlBPGX9/f/3ju3fvMoJLRCVKWlqavnfmvXv34OHhUcw1IiKSYztFRCUZ2ygiKunYThFRSZeamory5csDkF9Lp4JhAOop4+DwuNObp6cnv+iJqMTy8PBgG0VEJRrbKSIqydhGEVFJx3aKiEq63NfSqWD4ChIREREREREREREREZFNMQBFRERERERERERERERENsUAFBEREREREREREREREdkUA1BERERERERERERERERkUwxAERERERERERERERERkU0xAEVEREREREREREREREQ2xQAUERERERERERERERER2RQDUERERERERERERERERGRTDEARERERERERERERERGRTTEARURERERERERERERERDbFABQRERERERERERERERHZFANQREREREREREREREREZFMKIYQo7koQERERERERERERERFR6cEeUERERERERERERERERGRTDEARERERERERERERERGRTTEARURERERERERERERERDbFABQRERERERERERERERHZFANQREREREREREREREREZFMMQBEREREREREREREREZFNMQBFRERERERERERERERENsUAFBEREREREREREREREdkUA1BERERERERERERERERkUwxAERERERERERERERERkU0xAEVEREREREREREREREQ2xQAUERERERERERERERER2RQDUERERERERERERERERGRTDEARERERERERERERERGRTTkVdwXIfi5fvoxDhw7h1q1bUKlUKFu2LKpXr45mzZrB1dW1uKtHRCWEEALXrl3D6dOncevWLSQmJsLFxQVly5ZF1apV0ahRI5u3GSkpKfj3339x4cIFJCcnw83NDaGhoWjWrBkqVqxo07LOnDmDo0ePIi4uDhqNBn5+fqhduzaaNGkCJyd+LRKRoczMTOzbtw///fcfHj16BGdnZwQFBaFJkyaIiIiwaVk8XyMqvc6fP4+TJ0/i1q1bSE9Ph5ubGwIDAxEZGYl69erBxcWlwPtmO0VEBZWVlYXjx4/j3LlzePToETIyMlCmTBmUK1cOUVFRqFKlChQKRaHLyc7OxsGDBxEbG4uEhAQ4OjqiQoUKiI6ORq1atWxwJI/dvn0b+/fvx/Xr1/XHExkZiRYtWsDT09OmZRFRyVMaz4vseUw2J6jUW7NmjYiKihIAjC6enp5i9OjRIj4+vrirSkTF5OHDh2Lx4sWib9++wt/f32R7AUAolUrRs2dPsWvXrkKXe+XKFTFo0CDh7OxstCyFQiHatGkjdu/eXahytFqtWLRokYiMjDR5XH5+fmLixIkiNTW10MdFRMWnf//+Bp/v0NDQAu3r/v374o033hAeHh4m247o6Gixdu3aQteb52tEpVNycrL4/PPPRXh4uNnzK2dnZ9GiRQsxZ84cq/bPdoqICurIkSNi4MCBwsXFxWz7VKlSJTFp0iSRkJBQoHJSUlLERx99JHx9fU2WUa1aNbF48WKh1WoLdUy7du0Sbdq0MdvWDh48WFy9erVQ5RCRdW7duiVWr14txo0bJ9q2bSu8vLxs8nstr9J4XmTPYyoqDECVYpmZmWLgwIFmTyRyLwEBAYW+yEtET55Ro0aZDADlt7z00ksiKSmpQOUuX75cuLu7W1SOQqEQ48aNK9APkkePHomOHTtafEwREREiNja2QMdERMVr/fr1Rj/XBflBs3PnznwD8nnbw6ysLKvL4fkaUen1119/icDAQKvOrQIDAy3eP9spIioIjUYjxo0bJxwcHKxunzZv3mxVWadOnco3AJ97efbZZ0ViYqLVx6TVasXYsWMtLsfDw0OsWrXK6nKIyHJ79+4VvXr1EhUrVsz3M2mLAFRpPC+y1zEVNQagSimNRiN69Ohh8EZ0dHQU4eHhon79+sLb29vgeXd3d7Fv377irj4R2VF0dLTRLy5HR0cRFBQkoqOjRd26dY22GQBE48aNRUpKilVlrlixwugPnoCAABEVFSWCgoKEQqEweP6dd96xqpz09HTRuHFjg/04OzuLyMhIUadOHaN3kQQEBIiLFy9aVRYRFa/ExERRqVIlm/yg2bNnj3BzczPYj4+Pj2jQoIEICwsTjo6OBs/37t3bqkA5z9eISq+vvvrK6LmMq6uriIiIEI0bNxZ16tQxuKhgaQCK7RQRFdSwYcOMni+5u7uLOnXqiMaNG4vKlSsbbcOcnZ3Fpk2bLCrnv//+M3rh1NPTU9StW1dUrVpVKJVKg+ebNm0qMjIyrDqm0aNHG+xHoVCI4OBgERUVZbQejo6OYvXq1QV5CYnIAl9//bXFgZPCBqBK43mRvY7JHhiAKqVmzJhh8AYcMWKEuH37tj6NRqMRq1evFiEhIbJ0QUFBBbrjhIieTLkDUD4+PmLUqFFi48aNIjk5WZYuOztb7Ny5U7Rs2dKgfenTp4/F5V26dMkg6FOvXj2xY8cOWbr//vtP9O7d26CsP//80+KyRowYIcvr4OAgPv74Y/Hw4UN9mqysLLFkyRJRtmxZWdoGDRqI7Oxsi8siouI1fPhw/ec3bxtjzQ+ahw8fGtylFxoaKtauXSs7kb9586Z4/fXXDdqoL7/80uKyeL5GVDotXLjQ4LP9/PPPi82bN4vMzEyD9Ldv3xa//PKL6NOnjwgODs53/2yniKigVq5cafCZrlmzpti4caNQq9WytPfv3xeTJ082GC0jICBA9nvKGLVaLerUqSPL5+vrK5YuXSpUKpU+XUJCgvjoo48Mbk588803LT6m5cuXG/19euHCBVm6mJgYUbduXVk6Ly8vDsdHVETMBaA8PT1tFoAqjedF9jwme2AAqhR68OCBwVia06dPN5n+1q1bIiwsTJZ+0qRJdqwxERWn6OhoERYWJhYuXCjS09PzTZ+dnS1ee+01gy+4vAEkU/73v//J8jVq1MjkMH5ardagrMqVKxv8ODLm3LlzBneD/P777ybTx8bGCh8fH1n6xYsXW3RMRFS8du7cqb9L18HBQcyaNavAP2jGjx8vyxseHi77QZHX559/Lkvv7e2d70UZIXi+RlRaXbx4Ubi6uuo/p0ql0uz5R16WtB9sp4iooGrXri37jDZs2DDfOXC3b98unJycZPmmTZtmNs+PP/4oS1+2bFlx5swZk+l/++03WXonJyeDAJIxWVlZBu3OiBEjTN79n5iYKBo2bChL/9JLL+VbDhFZTxeA8vLyEm3atBFjx44VK1euFNeuXRM7d+60WQCqNJ4X2euY7IUBqFLogw8+kL3pWrVqlW/Xu5iYGIO7QB48eGCnGhNRcdqwYYPVY8RmZ2cbnLgPGDAg33yxsbGyu9ucnZ3F2bNnzebJyMgQVatWlZW1YMGCfMvq27evLM/gwYPzzZP3juXQ0FDZHXpEVPKkp6eLypUr6z+3b7/9doF/0Ny/f9/gbryYmBizebRarWjVqpUsz4QJE/Iti+drRKVT27ZtZZ/TFStW2HT/bKeIqKAuX74s+3wCEIcOHbIob9477Js2bWoybVZWlggODpalX7RoUb5lDBo0yOrflz/88IMsT9WqVfMdvu/MmTOyXl2Ojo7i3Llz+ZZFRNa5dOmSOHPmjNBoNAbP2SoAVRrPi+x5TPbCAFQpo9FoREBAgOwNZ2mvhLzDav3www9FXFsiepKtWLFC1mb4+fnlm+e9994r0N1mixYtkuVr3Lix2fQPHz6U3aWnUCjE5cuX8y1Ho9GI0NBQWVmWjnFORMXj/fff139eQ0JCREpKSoF/0Hz77bcGPyossX37dlm+8uXLm/0xwvM1otJp7dq1ss/niy++aPMy2E4RUUFt2rRJ9tkMCgqyOO/WrVtleQMCAkymXb9+vSxtWFiYRfORXLp0STbvlFKpzHe4qqioKFlZlo5gMXjwYFm+Dz74wKJ8RGQbtgpAlcbzInsdkz05gEqVffv2IT4+Xr8eERGBNm3aWJR36NChsvW1a9fasGZEVNq0bNlStp6QkID09HSzedavXy9bz9vumNKvXz94eHjo1w8fPow7d+6YTL9x40ZkZ2fr19u0aYOIiIh8y3FwcMArr7wi28a2kKjkOnz4MObMmaNf//777+Hp6Vng/a1bt062bmkb1bZtW4SHh+vX7969iwMHDphMz/M1otJpwYIFsvVPPvnE5mWwnSKignr48KFsPTg42OK8ISEhsvXExESTafO2U6+88goUCkW+ZVSuXBmtW7fWr6vVamzatMlk+lu3buHYsWP6dU9PT/Tt2zffcgDDdipvnYnoyVAaz4vsdUz2xABUKbNx40bZeseOHS36otelzW3Xrl1IS0uzWd2IqHQpW7aswbakpCST6c+fP49Lly7p1z08PNCsWTOLysqbVghh0N7llve5Tp06WVQOYNgWbtiwweK8RGQ/arUaQ4cOhUajAQC8+OKL6Nq1a4H3l5qain/++Ue2zdK2Q6FQoEOHDrJt5toOnq8RlT63b9/Gli1b9Ov169dHrVq1bFoG2ykiKgxvb2/ZekZGhsV586b19/c3mdZev8XyltO8eXPZTYvmNG/eHO7u7vr18+fP4+LFixbXk4iKX2k8L7LnMdkTA1ClzIkTJ2Trll7cBYCKFSsiLCxMv65SqXD27Fkb1YyISpvbt28bbPPz8zOZPm/71LhxYzg5OVlcXvPmzc3uz9xz1rSF0dHRcHFx0a/fuXNHdqcLEZUM06dPx+nTpwEAPj4++Pbbbwu1vzNnzkCtVuvXw8PDUb58eYvz26uN4vkaUcn0999/6wPigHQXqq2xnSKiwqhfv75s/dy5cxYHhw8dOiRbb9y4sdF09+7dw927d/XrLi4uiIqKsriO9mqnnJycDI7BXFlEVPKUxvMiex6TPTEAVcqcO3dOtl6zZk2r8udNn3d/REQ6e/bska2HhobC2dnZZHp7tU9qtVrW08raslxcXFC5cmWLyiKi4nH27Fl8/vnn+vWZM2dadWJujD3PoXi+RlT6HD58WLZer149/ePjx4/jrbfeQr169VC2bFm4u7sjLCwMHTt2xOzZs43e1GMM2ykiKoygoCDZRdOsrCyLbuDJysqSDXkMmB4SKu9nvUqVKmZ/I+aVt+24dOmSbGh1c2WxnSJ6upTG86LS2q4xAFWKZGRk4MaNG7Jt1ozpayz9+fPnC10vIiqdFi9eLFvv3Lmz2fR525Oiap+uXLki+5Hi5uZmdoiIwpRFRPan1WoxdOhQqFQqANJ8dMOHDy/0fm3dRl2/fh2ZmZkG6Xi+RlQ65Q1ARUREIDU1FUOHDkVUVBS+++47nDp1ComJicjIyMD169cRExODsWPHomrVqpgwYYLsjldj2E4RUWHNnDkTDg6PLwVOmjQJS5cuNZk+MTERL7zwguwiZrdu3dCtWzej6QvbTgUEBMDV1VW/rlKpcPXq1SIpi+0U0ZOtNJ4X2euY7I0BqFLkwYMHEELo15VKJcqVK2fVPipVqiRbv3//vk3qRkSly6ZNmwzGpR0yZIjZPHnbk6CgIKvKzNs+mRoWL285efMVpCy2hUQlx7fffqufTNXZ2RkLFiywePxtcwrbRgUGBsqGFdVqtUhISDBIx/M1otIpb+9rBwcHtGrVyuCGHWMyMjIwffp0dO7cGSkpKSbTsZ0iosJq0aIF5s6dqz93ys7OxpAhQ9C4cWPMmDEDa9aswd9//41ff/0Vb775JipXriybQ6Rjx45YtmyZyf0Xtp0CpOGqzO1TJ+/vwcL+vmQ7RfRkKY3nRfY6JnuzfPINKvFSU1Nl6+7u7lZfkMk7YWPefRIRPXz4EK+//rpsW8+ePU2OA66Ttz2xdIJYU+nVajWysrJk8zXZohxjedgWEpUMV69excSJE/Xr48ePR/Xq1W2y78K2HQqFAm5ubrKLx8baDp6vEZU+Wq3WIHD01ltv4fjx4wCk9qFr167o3LkzgoKCkJaWhuPHj+OXX37BnTt39HliYmIwZMgQ/Pnnn0bLYTtFRLYwcuRIVKtWDW+99RbOnDkDQOrFmbcnZ24RERH44IMPMHz4cFkPqrzs9VssIyNDNu9eQcpiO0X0ZCuN50X2OiZ7Yw+oUiTvGyp3t2VLubm5md0nET3dtFotBg0ahFu3bum3eXt7WzR2eGHbqLztk7F92qIcY2WxLSQqGV577TX9ZNnVq1fHhAkTbLZve7UdbKOISp+kpCTZnbEAcOzYMQCAn58fdu/ejfXr12PEiBHo2rUr+vXrhxkzZuD8+fMYMGCALN/q1avxf//3f0bLYTtFRLbSrl07HD58GGPGjIGjo6PZtCEhIRgzZgwGDBhgNvgEFF87VZCy2E4RPdlK43lRaT0HYwCqFMk7pqM1Ez3q5O1JkJGRUag6EVHpMnbsWGzevFm27ccff7RoXNrCtlF52yfAeBvFtpCodFq0aBFiYmIASHd2LViwoECfb1Ps1XawjSIqfUz9sHd0dMTGjRvRsmVLo897enril19+QadOnWTbp02bZhDQAthOEZHtzJ8/H5UrV8bs2bMNehLldePGDYwaNQphYWH5DitaXO1UQcpiO0X0ZCuN50Wl9RyMAahSJG9UVDc5tzWysrLM7pOInl7ffvstvvrqK9m2Dz74AP369bMof2HbqLztk7F92qIcY2WxLSQqXnFxcRgzZox+fdiwYSYv6BaUvdoOtlFEpY+pz+CwYcPQpEkTs3kdHBwwb948Wa+C8+fPY/fu3fmWw3aKiKylVqvxwgsvYOTIkYiLiwMA+Pr6YtKkSTh06BAePXoElUqFO3fuYP369ejVq5d+qKmHDx9i6NChGDt2rMn9F1c7VZCy2E4RPdlK43lRaT0HYwCqFPH09JStG7sjJD95o6J590lET6fff/8d77zzjmzbkCFDMGPGDIv3Udg2ythdG8baKLaFRKXPG2+8gcTERABA+fLlMWvWLJuXYa+2g20UUelj6jM4fPhwi/JHRESgQ4cOsm3GAlBsp4iosEaOHCmbZ65x48Y4c+YMJk+ejEaNGsHHxwdKpRIVKlRAt27dsHr1aqxdu1Z2AXP27NlYsmSJ0f0XVztVkLLYThE92UrjeVFpPQdjAKoUyfuGSk9PNzp0gzm6eRVM7ZOInj4bNmzAyy+/LGtPevfujYULF1o18WLe9iRve5OfvOmdnJyM3slR2HKM5WFbSFR8Vq5ciTVr1ujXv/nmG/j4+Ni8nMK2HUKIAv2A4fka0ZPPzc3NYA4VLy8vNGjQwOJ9tG7dWrZ+5MgRgzRsp4ioMHbt2oVFixbp18uVK4cNGzagfPnyZvN1794d33//vWzb2LFjLbpBsKh+ixlrdwv7+5LtFNGTpTSeF9nrmOyNAahSxN/fX3YxWK1W4/79+1bt4/bt27L1cuXK2aRuRPRk2rlzJ1588UVkZ2frt3Xs2BHLli3Ld7LavPK2J7du3bIqf972KSAgwKJy8uYrSFlsC4mKT+5hXrp06YK+ffsWSTmFbaPu3bsnaysdHBzg7+9vkI7na0SlU97PYZUqVWTD6uWnWrVqsnVj7QLbKSIqjG+//Va2/s4775j8TZXXkCFDEBkZqV9PSEjA6tWrDdIVtp0CgDt37pjdp07euhf29yXbKaInS2k8L7LXMdkbA1CliJubG0JCQmTbbty4YdU+8qavXr16oetFRE+mgwcPonv37rIuv82aNcOaNWsKNBFi3gsrRdU+RUREwMnJSb+ekZGB+Pj4IimLiIqebug9ANi4cSMUCkW+S9u2bWX7uH79ukGaEydOyNLYuo0KDQ012kuT52tEpVONGjVk62XKlLEqf970jx49MkjDdoqICkoIgR07dsi2devWzeL8Dg4O6NKli2zbP//8Y5CusO3U/fv3Zb8/nZ2dERERYTStvX5fElHJVBrPi+x1TPbGAFQpk/cNfPbsWavynzt3zuz+iOjpcOrUKTz//PNITU3Vb2vQoAE2bdoEDw+PAu3TXu2TUqlE5cqVC1xWVlYWrly5YlFZRFR62PMciudrRKVPzZo1Zet5J4DOT94x/t3d3Q3SsJ0iooJ69OgRkpKSZNvCw8Ot2kfe9MZGmsj7Wb98+TJUKpXFZeRtOypXriy7udBcWWyniJ4upfG8qLS2awxAlTL169eXre/bt8/ivHFxcbh27Zp+XalUGvyQIqLS7/z58+jYsaPsztsaNWpgy5Yt8Pb2LvB+87ZPhw8flnUNzs+///5rdn/mnrOmLTx69KjsolGFChU4HAPRU6BWrVpQKpX69WvXriEuLs7i/PZqo3i+RlQyRUVFydbv3btnVf68Q7n4+fkZpGE7RUQFZSwobiqwY0ru9gcANBqNQZry5cvL5pTKysrC0aNHLS7DXu1UdnY2Dh06ZHFZRFTylMbzInsekz0xAFXKdO3aVbYeExNj8cRoW7dula23bdu2RExURkT2c/36dXTo0EF2ESQ8PBzbtm2zeHxwU6pXry7rmZSWlmbxl3ZaWhr279+vX1coFAbtXW55n9u2bZvF9cyb1pqhKYjI9tatW4dt27ZZtcyePVu2j8DAQIM0VapUkaXx8vJCq1atZNssbTuEEIiJiZFtM9d28HyNqPTp0qWLbM6nq1ev4uHDhxbnz3uBNu8QLADbKSIqOGNB7bxzLeXH0jl58w7VV1S/xfKWs2/fPqSlpVlUzr///ov09HT9emRkpGyOKyIq+UrjeZE9j8muBJUqGo1G+Pv7CwD6ZceOHRblbdmypSzf999/X8S1JaKS5M6dO6Jy5cqydqBSpUriypUrNivj3Xffle3/pZdesijfokWLZPkaNWpkNn1CQoJwcnLSp1coFOLy5cv5lqPVakVYWJisrI0bN1pURyIqOXbu3Cn7HIeGhlqU75tvvpHla9WqlUX5tm/fLssXGBgoNBqNyfQ8XyMqnfJ+Pn/66SeL8qnValG+fHlZ3uXLlxtNy3aKiAqqQoUKss/mwoULrcrftGlTWf5PP/3UaLp169bJ0oWFhQmtVpvv/i9duiQUCoU+n1KpFImJiWbzNGjQQFbW4sWLLTqWwYMHy/KNHTvWonxEZBsF/b2WV2k8L7LXMdkTA1Cl0JgxY2RvuNatW+f7ZR8TEyPL4+XlJeLj4+1UYyIqbgkJCaJWrVqydiAgIECcPXvWpuWcPn1a9qPC2dk53zIyMjJE1apVZXWbP39+vmW98MILsjyDBw/ON8/ChQsNToKysrIsPj4iKhkK+oPm3r17wsPDQ5Z3+/btZvNotVrRqlUrWZ4PP/ww37J4vkZU+vz666+yz2hkZKTIzMzMN98PP/wgy1emTBmTF13ZThFRQQ0aNEj2+axdu7ZQq9UW5d21a5csLwCxZ88eo2kzMzNFUFCQLO2iRYusrl///v3zzTN37lyDdjcjI8NsnrNnzwpnZ2d9HgcHB3HmzJl8yyIi27FVAKo0nhfZ85jshQGoUig+Pl54enrK3nTTp083mf7WrVsGd/xPnDjRjjUmouKUnJwsGjVqJGsDfHx8xPHjx4ukvH79+snKatSokUhKSjKaVqvVitdff12WPiIiQqhUqnzLOXPmjHBwcJDl/f33382m9/HxkaW39q5AIioZCvODZty4cbK84eHh4vbt2ybTf/7557L03t7eIiEhId9yeL5GVPpoNBpRp04d2ef05ZdfNnv36YEDBwzagvwuGLCdIqKC+Pvvvw2CSMOHD8/3DvmLFy+KihUryvJVrVpVZGdnm8wzb948WfqyZcuaDfL89ttvsvSOjo7i/Pnz+R5TVlaWCAkJkeUdMWKEyYvCSUlJomHDhrL0gwYNyrccIrItWwWghCid50X2OiZ7YQCqlJo2bZrBicXIkSNlb1aNRiPWrFlj8GVdsWJF8ejRo+KrPBHZVZs2bQzaiylTpoht27ZZvTx8+DDf8i5evCjc3d1l5dWrV0/s3LlTlu78+fOid+/eBnVbsWKFxcf22muvyfI6ODiIjz/+WFZPlUollixZIsqWLStLW7duXYvvCCSikqUwP2gSEhIMhsIKDQ0V69atk13MuHnzpkGAHICYNWuWxWXxfI2o9ImJiZH19gYgOnToII4cOSJLl5iYKL788kuDCxmRkZEiOTnZbBlsp4iooNq2bWvwmW7RooWIiYkx+O3z4MEDMXv2bOHt7W2QZ+XKlWbLUalUBiNs+Pr6iqVLl8rKSUhIEBMnTjS4cXDUqFEWH9Pvv/9uUL8XXnhBXLhwQZZu+/btom7durJ0np6eNh1ynojk9u7da/Ta0ezZs2WfxcDAQJPXmfLroVgaz4vseUz2wABUKaXRaETXrl0N3oCOjo4iIiJCNGjQwOBOfwDCzc1N7N27t7irT0R2lLcdKMySN4hkyrJlywwuzgDSsH/R0dEiODjY6PNvvvmmVceWlpZmcIcbIA39V61aNVG3bl2DCz8AhL+/v0V33BFRyVTYO+p2794tXF1dDdoGHx8f0aBBAxEeHi4cHR0Nnu/Ro4dFcxzo8HyNqHSaMWOG0fOk8uXLi4YNG4oaNWrIhn/SLX5+fuLUqVMWlcF2iogKIi4uToSHhxttozw9PUWdOnVE48aNReXKlY3+HgMg3n//fYvKOnv2rPD19TVaTr169URkZKRQKpUGzzdu3Fikp6dbdVwjR4402I9CoRAhISEiOjraYO4WQLo5Mb9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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from ramannoodle.dynamics.trajectory import Trajectory\n", + "\n", + "\n", + "trajectory = vasp_io.xdatcar.read_trajectory(\n", + " f\"{data_dir}/MD_trajectory_XDATCAR\", timestep = 5\n", + ")\n", + "\n", + "# Compute spectrum\n", + "spectrum = trajectory.get_raman_spectrum(model)\n", + "\n", + "# Then plot\n", + "wavenumbers, total_intensities = spectrum.measure(laser_correction = True, \n", + " laser_wavelength = 532, \n", + " bose_einstein_correction = True, \n", + " temperature = 300)\n", + "fig = plt.figure()\n", + "axis = fig.add_subplot(111)\n", + "axis.plot(\n", + " wavenumbers[wavenumbers > 50], \n", + " total_intensities[wavenumbers > 50] / np.max(total_intensities[wavenumbers > 50]), \n", + " label = \"raw\", color = 'black', linewidth = 0.5\n", + ")\n", + "wavenumbers, total_intensities = convolve_spectrum(wavenumbers, total_intensities)\n", + "axis.plot(\n", + " wavenumbers[wavenumbers > 50], \n", + " total_intensities[wavenumbers > 50] / np.max(total_intensities[wavenumbers > 50]), \n", + " label = \"smoothed\", color = \"red\"\n", + ")\n", + "\n", + "axis.set_xlim((0,1000))\n", + "l = axis.legend()" + ] + } + ], + "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": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/test/data/TiO2/MD_trajectory_XDATCAR b/test/data/TiO2/MD_trajectory_XDATCAR new file mode 100644 index 0000000..9f99e56 --- /dev/null +++ b/test/data/TiO2/MD_trajectory_XDATCAR @@ -0,0 +1,109007 @@ +MD trajectory with timestep=5ps + 1.00000000000000 + 11.3768434223423398 0.0000000000000000 0.0000000000000000 + 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"test/data/TiO2/phonons_OUTCAR", + "test/data/TiO2", + [ + ["Ti5_0.1z_eps_OUTCAR", "Ti5_0.2z_eps_OUTCAR"], + ["Ti5_0.1x_eps_OUTCAR", "Ti5_0.2x_eps_OUTCAR"], + [ + "O43_0.1z_eps_OUTCAR", + "O43_0.2z_eps_OUTCAR", + "O43_m0.1z_eps_OUTCAR", + "O43_m0.2z_eps_OUTCAR", + ], + ["O43_0.1x_eps_OUTCAR", "O43_0.2x_eps_OUTCAR"], + ["O43_0.1y_eps_OUTCAR", "O43_0.2y_eps_OUTCAR"], + ], + ), + ], + indirect=["outcar_ref_structure_fixture"], +) +def test_spectrum( + outcar_ref_structure_fixture: ReferenceStructure, + data_directory: str, + dof_eps_outcars: list[str], +) -> None: + """Test a full spectrum calculation using InterpolationModel.""" + # Setup model + ref_structure = outcar_ref_structure_fixture + _, ref_polarizability = vasp_io.outcar.read_positions_and_polarizability( + f"{data_directory}/ref_eps_OUTCAR" + ) + model = InterpolationModel(ref_structure, ref_polarizability) + for outcar_names in dof_eps_outcars: + model.add_dof_from_files( + [f"{data_directory}/{name}" for name in outcar_names], + file_format="outcar", + interpolation_order=2, + ) + + # Spectrum test + with np.load(f"{data_directory}/known_md_spectrum.npz") as known_spectrum: + trajectory = vasp_io.xdatcar.read_trajectory( + f"{data_directory}/MD_trajectory_XDATCAR", timestep=5 + ) + spectrum = trajectory.get_raman_spectrum(model) + wavenumbers, intensities = spectrum.measure( + laser_correction=True, + laser_wavelength=532, + bose_einstein_correction=True, + temperature=300, + ) + + known_wavenumbers = known_spectrum["wavenumbers"] + known_intensities = known_spectrum["intensities"] + + assert np.isclose(wavenumbers, known_wavenumbers).all() + assert np.isclose(intensities, known_intensities, atol=1e-3).all()