{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to 1D pulse acquisition (User defiend Hamiltonian)\n", "## Author: Vineeth Thalakottoor\n", "## Email: vineeth.thalakottoor@ens.psl.eu or vineethfrancis.physics@gmail.com# PyOR Quantum" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Define the source path\n", "SourcePath = '/media/HD2/Vineeth/PostDoc_Simulations/Github/PyOR_V1/PyOR_Combined/PyOR/Source_Doc'\n", "\n", "# Add source path\n", "import sys\n", "sys.path.append(SourcePath)\n", "import time\n", "import numpy as np\n", "%matplotlib ipympl\n", "\n", "# Import PyOR package\n", "from PyOR_QuantumSystem import QuantumSystem as QunS\n", "from PyOR_HardPulse import HardPulse\n", "from PyOR_Evolution import Evolutions\n", "from PyOR_Plotting import Plotting\n", "import PyOR_SignalProcessing as Spro" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Define the spin system\n", "Spin_list = {\"A\" : \"H1\", \"B\" : \"H1\"}\n", "QS = QunS(Spin_list,PrintDefault=False)\n", "\n", "# initialize the system\n", "QS.Initialize()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Set parameters" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Larmor Frequency in MHz: [-400.22801765 -400.22801765]\n" ] } ], "source": [ "# Master Equation\n", "QS.PropagationSpace = \"Hilbert\"\n", "QS.MasterEquation = \"Redfield\"\n", "\n", "# Operator Basis\n", "QS.Basis_SpinOperators_Hilbert = \"Zeeman\" # TTry \"Singlet Triplet\" and see what happen to the all spin operators and Hamiltoninas\n", "\n", "# Relaxation Process\n", "QS.Rprocess = \"Phenomenological\"\n", "QS.R1 = 1\n", "QS.R2 = 1\n", "\n", "QS.Update()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spin operators" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "QS.Az" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}0.5 & 0 & 0 & 0\\\\0 & 0.5 & 0 & 0\\\\0 & 0 & -0.5 & 0\\\\0 & 0 & 0 & -0.5\\end{matrix}\\right]$" ], "text/plain": [ "Matrix([\n", "[0.5, 0, 0, 0],\n", "[ 0, 0.5, 0, 0],\n", "[ 0, 0, -0.5, 0],\n", "[ 0, 0, 0, -0.5]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "QS.Az.matrix" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.5+0.j, 0. +0.j, 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0.5+0.j, 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, -0.5+0.j, -0. +0.j],\n", " [ 0. +0.j, 0. +0.j, -0. +0.j, -0.5+0.j]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "QS.Az.data" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "QS.Az_sub" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}0.5 & 0\\\\0 & -0.5\\end{matrix}\\right]$" ], "text/plain": [ "Matrix([\n", "[0.5, 0],\n", "[ 0, -0.5]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "QS.Az_sub.matrix" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Generate Hamiltonians" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}30.0 & 0 & 0 & 0\\\\0 & -20.0 & 0 & 0\\\\0 & 0 & 20.0 & 0\\\\0 & 0 & 0 & -30.0\\end{matrix}\\right]$" ], "text/plain": [ "Matrix([\n", "[30.0, 0, 0, 0],\n", "[ 0, -20.0, 0, 0],\n", "[ 0, 0, 20.0, 0],\n", "[ 0, 0, 0, -30.0]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 1. Zeeman Hamiltonian\n", "\n", "Hz = 2.0 * np.pi * 10 * QS.Az + 2.0 * np.pi * 50 * QS.Bz\n", "Hz.Inverse2PI().matrix" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}1.25 & 0 & 0 & 0\\\\0 & -1.25 & 2.5 & 0\\\\0 & 2.5 & -1.25 & 0\\\\0 & 0 & 0 & 1.25\\end{matrix}\\right]$" ], "text/plain": [ "Matrix([\n", "[1.25, 0, 0, 0],\n", "[ 0, -1.25, 2.5, 0],\n", "[ 0, 2.5, -1.25, 0],\n", "[ 0, 0, 0, 1.25]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 2. J coupling Hamiltonian\n", "\n", "Hj = 2.0 * np.pi * 5 * (QS.Ax * QS.Bx + QS.Ay * QS.By + QS.Az * QS.Bz)\n", "Hj.Inverse2PI().matrix" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Initialize density matrix" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}1.0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0\\\\0 & 0 & 0 & -1.0\\end{matrix}\\right]$" ], "text/plain": [ "Matrix([\n", "[1.0, 0, 0, 0],\n", "[ 0, 0, 0, 0],\n", "[ 0, 0, 0, 0],\n", "[ 0, 0, 0, -1.0]])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Initial Density Matrix\n", "rho_in = QS.Az + QS.Bz\n", "rho_in.matrix" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}1.0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0\\\\0 & 0 & 0 & 0\\\\0 & 0 & 0 & -1.0\\end{matrix}\\right]$" ], "text/plain": [ "Matrix([\n", "[1.0, 0, 0, 0],\n", "[ 0, 0, 0, 0],\n", "[ 0, 0, 0, 0],\n", "[ 0, 0, 0, -1.0]])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Final Density Matrix\n", "rhoeq = QS.Az + QS.Bz\n", "rhoeq.matrix" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Hard Pulse" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}0 & 0.5 & 0.5 & 0\\\\0.5 & 0 & 0 & 0.5\\\\0.5 & 0 & 0 & 0.5\\\\0 & 0.5 & 0.5 & 0\\end{matrix}\\right]$" ], "text/plain": [ "Matrix([\n", "[ 0, 0.5, 0.5, 0],\n", "[0.5, 0, 0, 0.5],\n", "[0.5, 0, 0, 0.5],\n", "[ 0, 0.5, 0.5, 0]])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HardP = HardPulse(QS)\n", "\n", "flip_angle = 90.0 # Flip angle\n", "rho = HardP.Rotate_Pulse(rho_in,flip_angle,QS.Ay + QS.By).Tolarence(1.0e-5)\n", "rho.matrix" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Evolution" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Larmor Frequency in MHz: [-400.22801765 -400.22801765]\n", "Total time = 3.014617443084717 seconds \n" ] } ], "source": [ "QS.AcqDT = 0.0001\n", "QS.AcqAQ = 5.0\n", "QS.OdeMethod = 'DOP853'\n", "QS.PropagationMethod = \"ODE Solver\"\n", "\n", "EVol = Evolutions(QS)\n", "\n", "start_time = time.time()\n", "t, rho_t = EVol.Evolution(rho,rhoeq,Hz+Hj)\n", "end_time = time.time()\n", "timetaken = end_time - start_time\n", "print(\"Total time = %s seconds \" % (timetaken))" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Expectation" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "det_Mt = QS.Ap + QS.Bp\n", "det_Z = QS.Az + QS.Bz\n", "\n", "t, Mt = EVol.Expectation(rho_t,det_Mt)\n", "t, Mz = EVol.Expectation(rho_t,det_Z)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "plot = Plotting(QS)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/lib/python3.12/site-packages/matplotlib/cbook.py:1762: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return math.isfinite(val)\n", "/opt/anaconda3/lib/python3.12/site-packages/matplotlib/cbook.py:1398: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return np.asarray(x, float)\n" ] }, { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "54706058314147cdaa039e91b9709f12", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot.PlotFigureSize = (10,5)\n", "plot.PlotFontSize = 20\n", "plot.PlotXlimt= (0,5)\n", "plot.PlotYlimt= (-2,2)\n", "plot.Plotting_SpanSelector(t,Mt,\"time (s)\",r\"$M_T$\",\"red\",saveplt=True,savename=\"Transverse Magnetization\") " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "6fe202193ba54ca08ef3fd7c444e8c3c", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot.PlotFigureSize = (10,5)\n", "plot.PlotFontSize = 20\n", "plot.PlotXlimt= (0,5)\n", "plot.PlotYlimt= (0,2)\n", "plot.Plotting_SpanSelector(t,Mz,\"time (s)\",r\"$M_Z$\",\"red\") " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Fourier Transform" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "freq, spectrum = Spro.FourierTransform(Mt,QS.AcqFS,5)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e6eb8926e1a24797a44ddad81593b0e0", "version_major": 2, "version_minor": 0 }, "image/png": "iVBORw0KGgoAAAANSUhEUgAAA+gAAAH0CAYAAACuKActAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAACxlUlEQVR4nOzde3gU5d0//vfsblgCJJAQwiEkQZGDigqKVChnhVYQtKUoUq18VRSUXvSpWurhUdEqtf7ax/o8iqAFLBWUg1YU0ACCUEGwSERAEagcjCBJgBAgbPb0+2PYYWd29pjJzj2z79d1cbEzmcM9O5+dmc/c99wjBYPBIIiIiIiIiIjIVA6zC0BERERERERETNCJiIiIiIiIhMAEnYiIiIiIiEgATNCJiIiIiIiIBGCZBH3btm2488470blzZ2RnZyM3NxcXXXQRxo0bh7KyMtW0fr8fs2bNQv/+/ZGXl4fs7Gx06dIFU6dOxeHDh6Ou45tvvsFdd92FTp06we12o6CgAMOGDcOiRYuizpPquoiIiIiIiIjCSVboxX369OmYPn06ohX1rrvuwmuvvQYAOHv2LG688caIpD0kPz8fH374IXr37q0av2LFCowZMwZnz57Vne+OO+7A3LlzIUmSMi7VdRERERERERFpCZ+gz5w5E/fdd58y3LdvX/Tr1w/5+fk4duwYvvrqK1x22WX44x//CAB48MEH8ec//xkA4HQ6ceedd6J9+/aYN28eDh48CADo1KkTduzYgebNmwMAKioqcOmll6KmpgYAcMkll2DcuHHYtWsX3nzzTWXd//d//4f7779fGU5lXURERERERER6hE7QT548ieLiYpw8eRIA8Morr+Dee++NOv3x48fRoUMHpRb8kUcewTPPPAMA2L17Ny6++GKlFn7mzJmYNGkSAGDatGn405/+BADIycnB/v37kZ+fDwD45S9/iQULFgAAioqKcODAATidzpTXRURERERERKRH6GfQly5dqiTnxcXFOHXqFK644go0b94cBQUFuOmmm7B582Zl+rKyMlUT9TFjxiifu3Xrhh49eijDy5Yt0/08ePBgJTnXLqOiogJbt25t0LqIiIiIiIiI9AidoG/cuFH5fOjQITz44IPYvn07zpw5g+rqarz77rvo37+/0onb9u3bVfNfeOGFUYdD03o8HuzevTuhecLnS2VdRERERERERNG4zC5ALNpe0N1uNyZOnIjs7GzMnj0bNTU18Pl8uPvuu3HttdeiurpaNX1ubq5qOCcnR/lcVVUFQG4WH97KP9Y84fOlsi49Ho8HHo9HGQ4EAjh27Bhat26t6pCOiIiIiIiIxBMMBlFbW4sOHTrA4WhYHbjQCXp9fb1q+Pnnn8evf/1rAMCAAQMwevRoAEBtbS2WLVsW0ct7rOFQ8pvMPKnOFyvRnjFjBqZPnx7170RERERERCS+Q4cOoWPHjg1ahtAJeqtWrVTDgwcPVj4PGjRI9bd9+/ahdevWqnG1tbWqZYSeZwegPGeen58PSZKUhLq2tla1jPB5wudLZV16Hn74Yfz2t79VhmtqalBSUoJ9+/ahZcuWEdM7HA44nU74/X4Acu/xPp8v6ivonE4nHA4HfD4fHA4HHA4HvF5v1PK4XHJI+Hw+1edosrKyEAgEEAgE4HK5EAgElLJpSZIEl8ulKrvf70cgENCdPrSt4WVPZFu9Xm9CZQ+fJrQd8coevq2JlN3M/RQIBPD999+jQ4cOcLvd3E8xys7fU/Rt9Xq9cDgc+O6779CuXbuod4W5n8zfT1b4PYUfl7KysrifEthW/p4itzW0fYcPH0b79u2jLpv7yfz9FCqbyL+n8OOS0+nkfhJ0P+mVXaT9dOLECXTq1Cmi9XUqhE7Qe/TogcWLF+v+TVsr3bRpU1x00UWqcfv27cNVV12lGg65/PLLAcjN5rt27ao8hx4+jd5waL7Q/8msS4/b7Ybb7Y4YX1BQENFsnihZbdq0MbsIZBN5eXlmF4FsgsclMoq2soQoVTwuUUOFclMjHlEWupO4G264QTX88ccf634GgN69e2P48OGqZHfJkiXK5507d2LXrl3KcKh5PACMGjVK+bxu3TrV8+WhDugAoEOHDujduzcApLyuRMW6w0SUCJ/Ph48++oixRA3GWCKjMJbIKIwlMgpjiYxgZPwIXYN+5ZVX4vrrr8fKlSsBAA899BD27NmDpk2b4tVXX1Wm6969O4YNGwan04nJkyfjhRdeACA/s37s2DG0a9cOc+bMUaYvKSnB7bffrgxPnToVs2bNQm1tLU6dOoWBAwdi3Lhx2LlzpyrxnjZtGpxOJwC52Xoq60qUwK+nJ4sIdVbBWKKGYiyRURhLZBTGEhmFsURGMDJ+hE7QAWDu3Lm49tprsXPnTpw9exYvvvii6u/t2rXDkiVLlMT52WefxZdffok1a9bA7/dj9uzZqulbtWqFxYsXo0WLFsq4jh074o033sDYsWPh8Xiwa9cuPP7446r5brvtNkyZMkU1LpV1EREREREREekRuok7ALRt2xabN2/GH/7wB1xxxRVo3rw5mjZtiu7du+Ohhx7CF198gUsvvVSZPjs7Gx988AFmzpyJvn37Ijc3F263G507d8aUKVOwY8cO9OnTJ2I9o0aNQnl5OSZMmIDi4mI0adIEeXl5GDp0KBYuXIj58+dHdI6U6rqIiIiIiIiItISvQQeA5s2b49FHH8Wjjz6a0PQulwuTJk3CpEmTklpP9+7dMXfu3KTmSXVdREREREREROGEr0EnIiIiIiIiygRM0ImIiIiIiIgEwARdUKFO74hS5XQ60bdvX8YSNRhjiYzCWCKjMJbIKIwlMoKR8SMF+U4BoZw8eRItW7ZETU0NcnNzzS4OERERERERxWBkDscadEF5vV6zi0AW5/V6sXz5csYSNRhjiYzCWCKjMJbIKIwlMoKR8cMadMGE7r6cOHECLVu2NLs4ZGHBYBC1tbXIycmBJElmF4csjLFERmEskVEYS2QUxhIZoaamBq1atWINOhHFlp2dbXYRyCYYS2QUxhIZhbFERmEskUiYoAvK5/OZXQSyOJ/PhxUrVjCWqMEYS2QUxhIZhbFERmEskRGMjB8m6EREREREREQCYIJOREREREREJAAm6EREREREREQCYIJOREREREREJAAm6EREREREREQCYIJOREREREREJAApGAwGzS4EnXfy5Em0bNkSJ06cQMuWLc0uDllYMBiEz+eDy+WCJElmF4csjLFERmEskVEYS2QUxhIZoaamBq1atUJNTQ1yc3MbtCzWoBPZWF1dndlFIJtgLJFRGEtkFMYSGYWxRCJhgi4oI192T5nJ5/Nhw4YNjCVqMMYSGYWxREZhLJFRGEtkBCPjh03cBRNq4m5E8wgiIiIiIiJqXEbmcKxBF1QgEDC7CGRxgUAAR48eZSxRgzGWyCiMJTIKY4mMwlgiIxgZP0zQBeX3+80uAlmc3+/Hpk2bGEvUYIwlMgpjiYzCWCKjMJbICEbGDxN0IiIiIiIiIgEwQSeixldZCezbB7DLCyIiIiKiqJigE1Hjeu89oFMn4KKLgHHjmKQTERFlslOngGnTgAkTgPJys0tDJBwm6ETUuCZPBs6ckT8vWgR8+aW55SEiIiLz3Hsv8Kc/Aa+/Dlx3nZywE5GCCToRNZ5AAKioUI975x1zykJERETmW7Dg/OfqamD2bPPKQiQgJuiCkiTJ7CKQxUmShJycHHNjqbIyclybNukvBzWIELFEtsBYIqMwlmxkwwZTV89YIiMYGT9SMMgHQkVi5EvuiUz32WdAnz7qcW+9Bdx8sznlISIiInNpE5lLLwV27DCnLEQGMTKHYw26oIx82T1lpkAggAMHDpgbSwcPRo5jbFuOELFEtsBYIqMwlmxk715TV89YIiMYGT9M0AXFgwQ1VCAQQEVFhbmxdOhQ5DifL/3loAYRIpbIFhhLZBTGko14PKaunrFERjAyflyGLYkM5XJx11DDuFwu9OvXz9xCnD4dOc7rTX85qEGEiCWyBcYSGYWxZFECJsGMJTKCkbkba9AF5ff7zS4CWZzf78fXX39tbizp1ZazBt1yhIglsgXGEhmFsWRRAu4vxhIZwcj4YYIuKDazoYYKBALYvXu3ubGkd7Bigm45QsQS2QJjiYzCWLIoAa8BGEtkBD6DTkTWwBp0IiIiCuE1AFFcTNCJqPHo1aDzGXQiIqLMxASdKC4m6ETUeNjEnYiIiEJ4DUAUFxN0Imo8bOJOREREIbwGIIqLCToRNR7WoBMREVEIrwGI4mKCLiiHg7uGGsbhcKCkpMTcWGINui0IEUtkC4wlMgpjyaIE7IeGsURGMDJ+jHujOhnK6XSaXQSyOKfTiV69eplbCHYSZwtCxBLZAmOJjMJYsigBb9IzlsgIRuZuvFUkKCNfdk+Zye/3Y9u2bebGEmvQbUGIWCJbYCyRURhLFiXgNQBjiYxgZPwwQSeysezsbHMLwGfQbcP0WCLbYCyRURhLFhTtGiAQSG85NBhLJBI2cRcUm7hTQzmdTnTv3t3cQrAG3RaEiCWyBcYSGYWxZFHRrgF8PqBJk/SW5RzGEhmBTdwzgI9JDDWQz+fDxo0bzY0l1qDbghCxRLbAWCKjMJYsKtr+MrF5OWOJjGBk/DBBF1QwGDS7CGRxwWAQlZWV5saS3sGKncRZjhCxRLbAWCKjMJYsKlYNukkYS2QEI+OHCToRNR7WoBMREVGIgDXoRKJhgk5EjYfPoBMREVGIgDXoRKJhgk5EjYc16ERERBTCBJ0oLiboRNR4+Aw6ERERhUS7BmATdyIFE3QiajysQSciIqIQ1qATxcUEXVB8Dzo1lNPpRM+ePc2NJSbotiBELJEtMJbIKIwlixKwkzjGEhnByPhxGbYkMpTDwXsn1DAOhwOlpaXmFoKdxNmCELFEtsBYIqMwlixKwBp0xhIZwcjcjVmgoIx82T1lJp/Ph48++sjcWGINui0IEUtkC4wlMgpjyaIErEFnLJERjIwfJuiCYg06NZTD4UCPHj3MjSV2EmcLQsQS2QJjiYzCWLIoQWvQGUvUUEbGD5u4C4oHCWooh8OBwsJCcwvBGnRbECKWyBYYS2QUxpJFCViDzlgiI7CJewbwspaRGsjr9WL58uXmxhKfQbcFIWKJbIGxREZhLFmUgDXojCUygpHxI3yCLklS3H/fffedah6/349Zs2ahf//+yMvLQ3Z2Nrp06YKpU6fi8OHDUdf1zTff4K677kKnTp3gdrtRUFCAYcOGYdGiRVHnSXVdROlg+vNUrEG3DdNjiWyDsURGYSxZkIAJurx6xhKJw3ZN3M+ePYsbb7wRZWVlqvF79+7Fiy++iH/84x/48MMP0bt3b9XfV6xYgTFjxuDs2bPKuOrqaqxevRqrV6/GihUrMHfuXEiS1OB1EWUMPoNOREREIQI2cScSjWUS9Ly8PDzyyCO6f2vVqpXy+bHHHlMSZqfTiTvvvBPt27fHvHnzcPDgQRw7dgxjx47Fjh070Lx5cwBARUUFxo8fryTnl1xyCcaNG4ddu3bhzTffBAC8/vrruPrqq3H//fc3aF1EGYU16ERERBQiaA06kUgsk6Dn5ubiwQcfjDnN8ePH8dJLLynD06ZNwzPPPAMAGD9+PC6++GIEg0Hs378f8+fPx6RJkwAAL774ImpqagAAOTk52LBhA/Lz8wHID/wvWLAAADBjxgxMmjQJTqcz5XURZRQ+g05EREQh0VrRsQadSCH8M+ghR44cQXFxMbKyspCXl4cBAwZg5syZqmdGysrKVE3Ux4wZo3zu1q0bevTooQwvW7ZM9/PgwYOV5Fy7jIqKCmzdurVB6yLKKKxBJyIiohDWoBPFZZkE3ePx4LvvvoPP58OJEyfwr3/9C/fddx+uvfZa1NXVAQC2b9+umufCCy+MOhya1uPxYPfu3QnNEz5fKusiyjh6J1zeJSciIspMfAadKC5LNHG//PLLcc0116Bjx444cuQIFixYgBMnTgAA1q9fjyeeeAJ/+tOfUF1drZovNzdXNZyTk6N8rqqqAiA3iw8GgwnNEz5fKuvS4/F44PF4lOGTJ08CAILBoG53/Q6HA06nE/5zBzKn0wmfz6fahnBOpxMOhwM+nw8OhwMOhyPmawBcLjkkfD6f6nM0WVlZCAQCCAQCcLlcCAQCStm0JEmCy+VSld3v9yMQCOhOH9rW8LInsq1erzehsodPE9qOeGUP39ZEym7mfgoGgxgwYICyTjP2k8vvh6SZPhgIQAK4n3SI+ntyOp0YPHhw1OOSdlu5nyK3lcc9WfhxKRAIcD8lsK38PUVuq9/vhyRJGDJkCCRJiloe7ifz91OobKFtddTXw6k3k89n2n4KPy6Fvo9M30+xtpW/J/2yO526kZ0S4RP0r776Ct27d1eNe/TRR9GzZ09UVlYCAObNm4fnnnsu4kuONRzqjT2ZeVKdL7znd60ZM2Zg+vTpEeNXrVqFZs2aRYwvKSlBr169sH37dmRnZ6N79+7YsmWL8l1o9ezZE6WlpVi/fj169OiBwsJClJWVRf2BDBkyBNnZ2VixYgVGjBiBuro6rF27Vndal8uFkSNHoqqqCjt27MDQoUNx6NAhlJeX607fpk0b9OvXD3v27EFdXZ2yHQcPHtSdvlu3bsr2FRUVKdtRW1urO33fvn2V7RswYICyHdGEtm/Dhg3KdmzatEl32pycHGX7KioqlO0Ib30RjvtJ3k/X19WhiWb6gNcLJ8D9pCHy76l///7IysrCypUrdacFuJ9E2E/8PZ3H/ZQZ+6lHjx748ssvuZ8g9n4K/z1dvGcPuurN5PNxP+ngcc86+8nIV/VJwWi3DgQ3efJkvPLKK8rw0aNH8T//8z+YMWOGMu748eOqHt5Hjx6N9957DwDQoUMHVFRUwOPxIDs7W0mop06dihdeeEGZ5/PPP8dVV12lDM+ePRsTJ07EI488kvS69OjVoBcXF+Pw4cNo3bp1xPS8U8c7ddqyR9tWr9eLVatWYdiwYWjWrJk5NegFBZDOtQoJCRYWQvrhB+4nHaL+noLBIFauXIlhw4YhKysr7rZyP0VuK497svDjUtOmTbmfEthW/p4it9Xv98Pr9eLDDz/ET37yk6g1V9xP5u+nUNmUGvRHHoHz//v/ImdavBi+m24yZT+FH5eaNGnC/cTjXkr7qbq6Gm3atEFNTU1Ey+pkCV+DHo32C3U4HLj88stV4/bt26dKrvft26d8Dk3rdrvRtWtX5Y5L+DR6w6H5UlmXHrfbDbfbHTE+Ozs76oUwANXJKBTQsYRPE2u5etPEmz4UuNrP0YSX3el0xm0SEl72RLY1mbKHT5NI2cOnSaTsZu4nl8uFESNGKMs0ZT/pHFilc+O4n/SJ+HsKBoNKLMVqERSaHuB+0uJx7/ywNpa4n+JPz9+TWujiOdHjEvdTdGn/PUXbV2EJKJDe/aR3XMr4/RQDf0/6Etm2RAndSdyrr76K5cuXRyTj33//Pd5++21luH379sjPz8fw4cNVye6SJUuUzzt37sSuXbuU4dGjRyufR40apXxet26d6vnyRYsWKZ87dOiA3r17A0DK6yJKp1AHiqbRu1Ma5e4mic30WCLbYCyRURhLFhStMziTO4ljLJFIhE7Qd+7ciRtuuAEXXXQRJk+ejGeffRb3338/evTooXpmYPLkyZAkCfn5+Zg8ebIy/vnnn8e9996LJ554Aj/96U+V8SUlJbj99tuV4alTpyqdup06dQoDBw7E008/jXHjxqkS72nTpil3XlJdV6KMfI6BMpPP58PatWvNjSW9Ey57arUcIWKJbIGxREZhLFlUtJv0Ju5HxhIZwcj4sUQT9//85z+q583D3XzzzXj44YeV4WeffRZffvkl1qxZA7/fj9mzZ6umb9WqFRYvXowWLVoo4zp27Ig33ngDY8eOhcfjwa5du/D444+r5rvtttswZcoU1bhU1kWUUViDTkRERCHRrgF4855IIXQN+sMPP4zZs2fjxhtvRNeuXdGyZUtkZWWhffv2GDVqFN5++2289dZbqucDsrOz8cEHH2DmzJno27cvcnNz4Xa70blzZ0yZMgU7duxAnz59ItY1atQolJeXY8KECSguLkaTJk2Ql5eHoUOHYuHChZg/f37EcxCprosoI/AkTEREROGiXQOw9ppIIXQNetu2bTFx4kRMnDgxqflcLhcmTZqESZMmJTVf9+7dMXfu3LSsi8j2op1smaATERFlJgGbuBOJRugadCKysGiJOJu4ExERZSZBO4kjEgkTdCJqHKxBJyIionDRbtLz5j2Rggk6kY0l8o7HRhMtEQ8G5X9kKabGEtkKY4mMwliyIEH7p2EskUgYjYIy8mX3lJmysrIwcuRI8woQ6254IACce2Uhic/0WCLbYCyRURhLFiXg42+MJTKCkbkba9AFFWBTH2qgQCCAo0ePmhdL8RJ0sgzTY4lsg7FERmEsWZSANeiMJTKCkfHDBF1QPEhQQwUCAezYscO8WIp1suVz6JZieiyRbTCWyCiMJYsSsAadsURGMDJ+2MRdUHwWhhrK5XJh6NCh5hWANei2YXoskW0wlsgojCWLErCTOMYSGcHI3I016ILiXTxqqEAggAMHDrAGnRrM9Fgi22AskVEYSxYlaBN3xhI1FJu4ZwA/ExhqIL/fj/LycvNiiTXotmF6LJFtMJbIKIwlixKwiTtjiYxgZPwwQSeixhHrZMuTIBERUeYRsIk7kWiYoBNR42ATdyIiIgoX7fzP6wIiBRN0ImocbOJORERE4ViDThQXE3QiahysQSciIqJwAnYSRyQaJuhE1DhYg05EREThBOwkjkg0TNAFJUmS2UUgi5MkCW3atDEvlthJnG2YHktkG4wlMgpjyaIEbOLOWCIjGBk/xr1RnQxl5MvuKTO5XC7069fPvALESsJ5p9xSTI8lsg3GEhmFsWRRAnYSx1giIxiZu7EGXVB8FyM1lN/vx9dffy3me9AZ35ZieiyRbTCWyCiMJYsSsAadsURG4HvQiSghdXV15q2cNei2Ymoska0wlsgojCULErAGHWAskVjYjlpQTqfT7CKQxTmdTvTq1cu8ArAG3TZMjyWyDcYSGYWxZFEC1qAzlsgIRuZurEEXFJvZUEP5/X5s27ZNzCburEG3FNNjiWyDsURGYSxZlIAJOmOJjMAm7hkgwASGGigQCODgwYPmxRLfg24bpscS2QZjiYzCWLIoAZu4M5bICEbGDxN0ImocbOJORERE4QSsQScSDRN0Imoc7CSOiIiIwglYg04kGiboRNQ4WINORERE4ViDThQXE3QiahzsJI6IiIjCMUEniosJOhE1DnYSR0REROHYxJ0oLibognI4uGuoYRwOB7p162ZeLLEG3TZMjyWyDcYSGYWxZFEC1qAzlsgIRsaPy7AlkaGMfNk9ZSan04nu3bubVwDWoNuG6bFEtsFYIqMwlixKwBp0xhIZwcjcjbeKBOXz+cwuAlmcz+fDxo0bzYsl1qDbhumxRLbBWCKjMJYsSsAadMYSGcHI+GGCLig2s6GGcjgcKCoqErOJO2vQLcX0WCLbYCyRURhLFiVggs5YIiOwiXsG4EGCGsrhcKC0tNS8AvA96LZheiyRbTCWyCiMJYsSsIk7Y4mMYGTuxixQUGxmQw3l8/nw0UcfidnEnTXolmJ6LJFtMJbIKIwlixKwBp2xREZgE/cMEAwGzS4CWVwwGERtba15scRO4mzD9Fgi22AskVEYSxYV7fxvYoLOWCIjGBk/TNCJqHGwkzgiIiIKF+38zxv3RAom6ETUONjEnYiIiMIJ2MSdSDRM0ImocbCTOCIiIgonYCdxRKJhgk5EjYM16ERERBSONehEcTFBJ2qIQAD49FPg22/NLol4WINORERE4QTsJI5INEzQBeV0Os0uAsUTDAI/+QnQty/QtSvw5ptml0jF6XSib9++5sUSa9Btw/RYIttgLJFRGEsWJWAncULGkt8P/Pd/Az16APfeC5w5Y3aJKA4j44cJuqCMfNk9NZIVK4DVq+XPPh/w5z+bWx4Nh8OBwsJC82KJvbjbhumxRLbBWCKjMJYsSsAm7kLG0vvvA3/4A7BzJzB7NvDXv5pdIorDyPgRKBIpnNfrNbsIFM9LL6mH//1vc8oRhdfrxfLly82LJb4H3TZMjyWyDcYSGYWxZFECdhInZCzNnasefuQRc8pBCTMyfpigC8rlcpldBIpn716zSxCTy+XCgAEDzIsl1qDbhumxRLbBWCKjMJYsSsAadCFj6cCByHEeT/rLQQkzMn6YoBOlSvAEHQCys7PNWzlr0G3F1FgiW2EskVEYSxYkaCdxwsVSr16R43bsSH85yBRM0AXl8/nMLgLFEwyaXYKYfD4fVqxYYV4ssZM42zA9lsg2GEtkFMaSBQWD0a+dTLwuEDKW9G4Y1NSkvxyUMCPjhwk6ETUONnEnIiKikFgVG7wuUNN7nlmkGwjUqJigExlJ8Fr1tGITdyIiIgrhdUHi9BJ0kTqxo0bFBJ3ISLy7eR5r0ImIiCiE1wWJY4Ke0ZigExmpvt7sEoiDd8qJiIgoJNa5nwm6mt71JCuBMgYTdCIj8e7mebxTTkRERCHsPDZxrEHPaEzQiYzEg+d5PBETERFRCG/cJ46dxGU0JuiCMvJl99QIonUGJ1ATd5fLhREjRpgXS2zKZhumxxLZBmOJjMJYsiBBrwuEjCXWoFuOkfHDBJ0oFdHuYgp28KyrqzNv5axBtxVTY4lshbFERmEsWYzA1wXCxRKfQc9oTNAFZeTL7qkRREvEBapB9/l82LBhg3mxJOidckqe6bFEtsFYIqMwlixI0OsCIWOJNeiWY2T8CNSWg8JlZWWZXQSKxQI16FlZWRg5cqR5BRD4Tjklx/RYIttgLJFRGEsWJOh1gZCxxGfQLcfI3I016IIKsIZRbNEScYES9EAggKNHj5oXS4KeiCl5pscS2QZjiYzCWLIgQTuJEzKW9FpkCnSNSZGMjB8m6ILyM4ERW7S7mAI1cff7/di0aZN5sSRoUzZKnumxRLbBWCKjMJYsSNDrAiFjiU3cLcfI+LFcgu7z+XDVVVdBkiTl34QJEyKm8/v9mDVrFvr374+8vDxkZ2ejS5cumDp1Kg4fPhx1+d988w3uuusudOrUCW63GwUFBRg2bBgWLVoUdZ5U10UWZoEadNOxBp2IiIhCeF2QODZxz2iWewZ9xowZ+Pzzz2NOc/bsWdx4440oKytTjd+7dy9efPFF/OMf/8CHH36I3r17q/6+YsUKjBkzBmfPnlXGVVdXY/Xq1Vi9ejVWrFiBuXPnQpKkBq+LLM4CNeimE/ROOREREZmA1wWJYw16RrNUDfr27dvx9NNPx53uscceUxJmp9OJiRMn4vHHH0dJSQkA4NixYxg7dixOnz6tzFNRUYHx48cryfkll1yCp556CuPGjVOmef311/Hyyy83eF1kAxboJM50vFNOREREIbwuSBxfs5bRLJOge71e3HHHHfB6vejduzeKiop0pzt+/DheeuklZXjatGmYPXs2pk+fjrKyMqX2e//+/Zg/f74y3YsvvoiamhoAQE5ODjZs2ID//u//xsKFCzF+/HhluhkzZijPGKS6LrIBNnGPT9DOYIiIiMgEvC5IHGvQM5plEvRnnnkG5eXlcLvdeP311+Fy6bfOLysrUzVRHzNmjPK5W7du6NGjhzK8bNky3c+DBw9Gfn6+7jIqKiqwdevWBq2LbIBN3OOLdTecd8qJiIgyC5u4J47PoGc0SzyDXl5ejmeffRYA8NRTT+GSSy6JOu327dtVwxdeeGHE8Jdffqma1uPxYPfu3THn0a6jT58+Ka1Ly+PxwOPxKMMnT54EIHeG59X5cTocDjidTqUW3+l0wufzIRgM6i7f6XTC4XDA5/PB4XDA4XDoLjckdOPD5/OpPkeTlZWFQCCAQCAAl8uFQCAQtRdDSZLgcrlUZff7/VFfSxDa1vCyJ7KtXq83obKHTxPajnhlV7Y1ynfoq6tD0OsVYj/5fD60aNFCtX3p3E8Ony/6HcBAID376dx2xCs7f0/RtzW0faFYSmRbuZ8it9UWxz0D9lP4cYn7Sdz9pFd20fZTIBBATk4OAufOJ7G2lfspdtnT9nvyeBD1TdF+v2n7Kfy4JMp+cnm9kDTjgvX1QDDI4x7E/T0ZJaWl+f1+vP/++/j444+xf/9+nDx5Mu673yRJwpo1a5Jel9frxYQJE+D1enHNNdfggQceiDl9dXW1ajg3N1c1nJOTo3yuqqoCIDdVD99BseYJny+VdWnNmDED06dPjxj/0UcfoVmzZhHjS0pK0KtXL2zfvh3Z2dno3r07tmzZgsrKSt3l9+zZE6WlpVi/fj169OiBwsJClJWVRf2BDBkyBNnZ2VixYgVGjBiBuro6rF27Vndal8uFkSNHoqqqCjt27MDQoUNx6NAhlJeX607fpk0b9OvXD3v27EFdXZ2yHQcPHtSdvlu3bsr2FRUVKdtRW1urO33fvn2V7RswYICyHdGEtm/Dhg3KdmzatEl32pycHGX7Kioq0C/KD/GLf/8b3zVvLtR++uijj0zZTxcdOIAS3TkA+P3p2U/ntiP8Blw4kfaT6L+ngQMHcj9B/P1kld9TWVkZ95MF9hMg9u9p6NCh2LZtG/cTxN5Poe04sX49hujOIduyeTOKOnY0bT+VlZUJs59uOHsWTs28gfp6nK6t5XEPYv6ejCQFo906iGLz5s345S9/iW+//TbheYLBICRJSun9cI8//jiefvppNG3aFOXl5ejWrRsAoFOnTjhw4AAA4I477sC8efMAAPfeey9mz56tzB+6Sx9y22234Y033gAANG3aFHV1dTh8+DA6dOigTPPYY4+pOqPbu3cvunTpogz/8Y9/xLRp01Jal5ZeDXpxcTGOHj2KVq1aRUxvyzuqVrxTt3kz0L9/xHS+V19F8I47hNhPgUAAFRUVKCoqgtvtTn8N+oQJcJyL/wh33w3vyy9nzB1Vq/+eHA4HDh06hPbt28Ph0G8Xwf1k/n6ywu8p/LiUlZXF/ZTAtvL3FLmtoe37/vvvVddv0baV+yl22dP2e/r8c2T16RN1Hb66OjiaNEn7fgo/LjmdTiH2k8vthqRZRvD//T/gb3/jcQ9i/p5OnDiB/Px81NTURFTaJiupGvR9+/Zh+PDhOHXqVNQN0gp/JVmyDh06hBkzZgCQn0EPJeextG7dWjVcW1urSnRDTcgBKM+Z5+fnQ5IkZZu0d4LC5wmfL5V1abndbrjd7ojxTqcTWVlRGwKpbgQk0qwifJpYy9WbJt70ocDVfo4mvOxOp1M1rCe87IlsazJlD58mkbIr00Q5wLgCASBsnWbuJ5/PhyNHjihvFBBqP/n96dlPSKzs/D1Fl5WVBZ/Ph++//x4dO3aMOw/3kz5bHPfQ8P0UflwKLZP7Kf70/D2pOZ1OBINBJamKV37up+iE+j05HIDOcSEao/ZT+HEptF5T95PfD+jkWZLPB0iS+fuJvyddSdZ5x5RUJ3HPPPOMkrxKkpTQv4aorq5W7rQ88MADquWGas8B+fVnkiRhwoQJuPzyy1XL2LdvX9Th0LRutxtdu3ZNaJ7w+VJZV6KMfpaBDBbtLppAncS5XC7069fPvFhiJ3G2YXoskW0wlsgojCULinfuj/O4bGMRLpaiXUvGqH0m8xkZP0kl6KtXr1Yl3cFgMKF/6TR8+HBVjfSSJUuUzzt37sSuXbuU4dGjRyufR40apXxet26d6vnyRYsWKZ87dOiA3r17N2hdiUjlcQBKo2gHSYFegeH3+/H111+bF0uxTrQmnYQpNabHEtkGY4mMwliyoHjnfpP2pXCxxFf5WpKR8ZNUqn/06FEA558pnzx5Mm655Ra0b98eTZo0MaxQIa1atVK9uizcypUrcebMGQBAaWkpevfujauvvhr5+fmYPHkyXnjhBQDA888/j2PHjqFdu3aYM2eOMn9JSQluv/12ZXjq1KmYNWsWamtrcerUKQwcOBDjxo3Dzp07VYn3tGnTlOYRqa4rEfE63SOTWaAGPRAIYPfu3ejcuXPcJj+NgjXotmF6LJFtMJbIKIwlCxK0Bl24WIp2jckadKEZmbsllaC3bdsW3333HSRJwvDhw/HSSy8ZVhA9nTp1UiXH2r+FmrkPHjxY6SQOAJ599ll8+eWXWLNmDfx+v6ojN0BO/BcvXowWLVoo4zp27Ig33ngDY8eOhcfjwa5du/D444+r5rvtttswZcoU1bhU1kU2EO0gycTzPNagExERUUi8cz+vDWSsQc94STVxHzx4sNJkPdTxlIiys7PxwQcfYObMmejbty9yc3PhdrvRuXNnTJkyBTt27EAfnV4kR40ahfLyckyYMAHFxcVo0qQJ8vLyMHToUCxcuBDz58+P6Kwg1XWRxUU7SDJBPy/WiZbfExERUWYRtIm7cKJVArEGPWMkVYP+u9/9DosWLUJ9fT1WrlyJ06dPo3nz5o1Vtpj2798f8+8ulwuTJk3CpEmTklpu9+7dMXfu3KTmSXVdZGGsQY8v1nfBu+RERESZRdAm7sKJ9j2xBj1jJFWDfumll+LVV1+Fw+FARUUFBgwYgA8++AD1Aj13S5QWfD4oPtagExERUQhr0BPDBD3jJd0f/G233Yb6+nrcfffd+OKLLzBy5Eg4HA60adMGTZs2jTqfJEkRryEjsizWoMfHGnQiIiIKYQ16YqJ9T6wEyhhJJ+hvvfUWpk6dCkmSlOfR/X4/jhw5EnO+hr4TPdNon3UnwVjgGXSHw4GSkhLzYok16LZheiyRbTCWyCiMJQsStJM44WKJNeiWZGT8JJWgb926Fb/61a/g9XohSVLCSXe634VuB0K85oGis0AHHk6nE7169TKvAOzF3TZMjyWyDcYSGYWxZEGCNnEXLpYscI1JkYzM3ZJK9f/4xz8qyTk1LiNfdk+NwAI16H6/H9u2bTMvlvgedNswPZbINhhLZBTGkgUJ2sRduFhiDbolGRk/SdWgb9y4UZWcs2acMpZFnkHPzs42b+Vs4m4rpsYS2QpjiYzCWLIYQWvQAcFiKdr3wGunjJFUDfqJEycAyIl5kyZNMHPmTPznP//BmTNnEAgEYv4T5q6URbCJu+AskKA7nU50797dvFhiJ3G2YXoskW0wlsgojCULErQGXbhYYoJuSaY1cb/gggsQDAYhSRJ+9rOf4d5770WnTp1i9t5OqfHxOROxWaCHTZ/Ph40bN5oXS6xBtw3TY4lsg7FERmEsWZCgncQJF0sWuMakSEbGT1IJ+i9+8QvlszB3mWyKjw8IzgJ3N4PBICorK82LJXYSZxumxxLZBmOJjMJYsiBBm7gLF0sWuMakSEbGT1IJ+kMPPYROnTohGAxi2bJl2L17t2EFIbIUCzRxNx07iSMiIqIQQZu4C4cJesZLqpO46upq/O1vf8PNN9+M6upq/OhHP8KkSZMwbNgwFBcXx23qXlJS0qDCEgmDB8/4WINOREREIYLWoAuH15gZL6kEvVOnTkov7pIk4eTJk3j++efx/PPPx51XkiRxnu0gaig+HxQfa9CJiIgohDXoiWGCnvGSStCB8+3rJUmCJEniPK9BlE48eMbHGnQiIiIKEbSTOOHwGjPjJZ2gh78HXW9YD5N4sh0ePONjL+5EREQUwibuieE1ZsZLOkEHmHCnA3vJF5wFmrg7nU707NmT70GnBjM9lsg2GEtkFMaSBQnaxF24WGKCbklGxk9SCfrAgQMTqjGnhnM4kupgn9LNAgdPh8OB0tJS8wrAGnTbMD2WyDYYS2QUxpIFCdrEXbhY4puCLMnI3C2pBH3dunWGrZhiY4d6grNAgu7z+bB+/XoMHDgQLldKjWUahp3E2YbpsUS2wVgiozCWLCjeud+kawPhYskC15gUycjcjdW0gmINuuAscPB0OBzo0aOHebHETuJsw/RYIttgLJFRGEsWJHANulCxZIFrTIpkWg06pY8wBwnSZ4Fn0B0OBwoLC80rAJu424bpsUS2wVgiozCWLEjQTuKEiyUm6JZkZO7GLFBQXq/X7CJQLBY4eHq9Xixfvty8WGIncbZheiyRbTCWyCiMJQsStJM44WKJ10+WZGT8JFWDfuedd6a8IkmS8Le//S3l+YmEYoEEHTC5LwPWoNsK+8UgozCWyCiMJYsRtIk7IFgsxevDh61sbS+pBH3evHkp9eIeDAaZoJO9WCRBNxXvABMREVGIoJ3ECSdegp6Vlb6ykCn4HnSiVFjgGXTTsQadiIiIQgSuQRdKrGskXmdmhJQS9GRr0ZnQk+2wBj0+9uJOREREIYJ2EiccvqY24yWdoCeabEuSxMSc7IsJenw8wRAREVGIoJ3ECYfXTxkvqQR97dq1Mf9eXV2NAwcO4M0338Rnn30GSZJQUFCAOXPmoEWLFg0qKJFQ2MQ9PtagExERUQibuCeGCXrGSypBHzRoUELT/dd//RfmzJmDu+++G1VVVfjf//1ffPDBBykVMFO5XHxFvdCiJeICHThdLheGDBliXizxGXTbMD2WyDYYS2QUxpIFCdpJnHCxxATdkoyMn0brp//OO+/E0KFDEQwGsWrVKrz55puNtSqi9LNIE/fs7GzzVs4TjK2YGktkK4wlMgpjyWIErkEXKpZ4/ZTxGvVFet26dVM+z5kzpzFXZTtCvY+RIlkgQff5fFixYoV5scQm7rZheiyRbTCWyCiMJQsStJM44WIpVjkEus4kNSPjp9ESdI/Hgw0bNiidxZWXlzfWqmxJmGY2pM8Cz6C7XC6MGDHCvFjiHWDbMD2WyDYYS2QUxpIFCdpJnHCxxOsnSzIyfpJa0vr162P+PRAIoK6uDhUVFZg7dy527NihvJKttrY29VISicYCNegAUFdXh5ycHHNWzhp0WzE1lshWGEtkFMaSxQjcxF2oWGKCnvGSStAHDx6c9DvQQzp06JDSfJlKmGY2pM8CCbrP58PatWsxYsQIZGVlpb8A7CTONkyPJbINxhIZhbFkQYJ2EidcLDFBtyQjc7eU6uKTfRe6JEkYOXJkKqsiEpMFEnRTJXIXPBgEUrzhR0RERBYjcA26UJigZ7yUEvRka9Hbtm2LRx55JJVVEYnJAs+gmyqRk6zfD4jyvBcRERE1LkE7iRMOE/SMl3QnccFgMKl/ffv2xbp169CuXbvGKD+ROViDHlsi3wPvlBMREWUOQTuJEw4T9IyXVPXVr371q7i15w6HAy1atMAFF1yAQYMGoVevXg0qIJGQmKDHlmgNOhEREWUGNnFPDBP0jJdUgj5v3rxGKgaRxbCJe2yJnGR5IiYiIsocgnYSJxwm6BkvqQT94MGDquGioiI4nU5DC0RkCRapQRfyHejJTEPCEOb9sGR5jCUyCmPJYgSuQRcqlmJdH7EiKCMkFY2dOnVSmrjn5+fj+++/Z4LeSIR4zQNFF+3gGQgI0zt5VlaWeW9PYBN3WzE1lshWGEtkFMaSBQmaoAsXS6xBtyQjc7ekOolzu91K52+DBw9mEtmIAmz+K7ZYB0hB9l0gEMDRo0fNiSV2EmcrpsYS2QpjiYzCWLIgQZu4CxdLTNAtycj4SSpBb9++PSRJgiRJKCwsNKwQFEmYgwTps0Dzo0AggB07dpgTS6xBtxVTY4lshbFERmEsWZCgNejCxVKs60heOwnLtAR96NChCAaDAID//Oc/hhWCIgn1LAxFssDdTZfLhaFDh5oTS+wkzlZMjSWyFcYSGYWxZEGC1qALF0sWuMakSEbGT1IJ+m9/+1ulmftHH32EL774wrCCkJowd/FInwUOnoFAAAcOHBC3ibsg3xPFZ2oska0wlsgojCULErgGXahYssA1JkUyrQb9kksuwZw5c5CVlQWv14thw4bhjTfegNfrNaxAJPPzByg2CzQ/8vv9KC8vNyeWWINuK6bGEtkKY4mMwliyoHj7yqTrAuFiiQm6JRkZP0nVxQ8dOhQAkJeXh6NHj6Kqqgq/+tWvcM8996Bbt25o2bKl0su7liRJWLNmTcNLTCQCCzyDbirWoBMREVG4eAk4rwtkTNAzXlIJ+rp165QEPPR/MBhEXV0dysvLoybnwWAw6t+ILIkHz9hYg05EREThBK1BFw6vMTNeSk+zhzqKC/XoHhoXGh+OiTnZEg+esbEXdyIiIgonaCdxwuE1ZsZLKUHXS7qZiFNGYRP32PgedCIiIgrHGvTEMEHPeEkn6Hq15EQZhwfP2FiDTkREROEE7cVdOLzGzHhJJejffvttY5WDNNgiQXAWOHhKkoQ2bdqYE0vsJM5WTI0lshXGEhmFsWRBgjZxFy6WLHCNSZGMjJ+kEvTS0lLDVkyxGfmyezJYMBj7Lq8gB0+Xy4V+/fqZs3Lt9yNJgMOh/m54p9wyTI0lshXGEhmFsWRBgjZxFy6WmKBbkpG5W1LvQaf0EeZdjBQp3glEkGfQ/X4/vv76azHeg+5wAE6nehxj3DJMjSWyFcYSGYWxZEGC1qALF0vs58iSTHsP+oUXXqh8vvPOO/HYY4/FnP7jjz/G1q1bleHf/va3SRaPSECCnmD01NXVmbNi7XfgcMj/wrEG3VJMiyWyHcYSGYWxZDGC1qADgsUSa9AzXlIJ+v79+wHIbeyPHTsWd/p//vOfePHFF5VhJuiJc2prG0kcFknQnU4nevXqZc7KtSdZp5M16BZmaiyRrTCWyCiMJQvSnvezsgCv9/ywSQm6cLEUq5ac107CMjJ3S7qJe7IPwEd7PzrFJkwzG4pkkQTd7/dj27Zt5sSSXg269sDFGnTLMDWWyFYYS2QUxpIFafdVkyax/54mwsUSa9Atycj4adRn0E+fPt2g+c+ePYtHHnkEw4cPR6dOnZCTk4OsrCwUFBTgxz/+MWbMmIGTJ09GzOf3+zFr1iz0798feXl5yM7ORpcuXTB16lQcPnw46vq++eYb3HXXXejUqRPcbjcKCgowbNgwLFq0KOo8qa4rngCTF3HF+wEK8nxQIBDAwYMHzYklvRp0bRN3nmQsw9RYIlthLJFRGEsWJGiCLlwsMUG3JCPjp9G6Cj9x4gTWrVsHSZJSrkE/deoUZsyYETG+uroaGzduxMaNGzFv3jx8+umnyMvLAyAn9TfeeCPKyspU8+zduxcvvvgi/vGPf+DDDz9E7969VX9fsWIFxowZg7Nnz6rWs3r1aqxevRorVqzA3LlzVS0IUl0XWZxFatBNxRp0IiIiCidogi4cJugZL2aCHt4pnNacOXPwz3/+U/dvfr8fP/zwA7xhz5U0b948pQIWFRWhX79+KC0tRX5+PqqqqrB06VIcOHAAgFzrPXv2bEybNg0A8NhjjykJs9PpxJ133on27dtj3rx5OHjwII4dO4axY8dix44dSpkqKiowfvx4JTm/5JJLMG7cOOzatQtvvvkmAOD111/H1Vdfjfvvv18pWyrrIhtggh6f9jtgDToREVFm03sGPdbfMxUT9IwXM0Hfv39/RA146PPJkyd1m5dHc8EFFyRduIKCAnz33XcR4x944AEUFRWpygkAx48fx0svvaSMnzZtGp555hkAwPjx43HxxRcjGAxi//79mD9/PiZNmgQAePHFF1FTUwMAyMnJwYYNG5Cfnw8AcDgcWLBgAQBgxowZmDRpEpxOZ8rrIhuwSBN3U+kl6KxBJyIiylza8z5r0PUxQc94CT2DLklSROdwoXHx/oWmvf766xtcWL/fj4qKCsyaNUs1/tJLLwUAlJWVqZqojxkzRvncrVs39OjRQxletmyZ7ufBgwcrybl2GRUVFcpr41JdF9kAa9DjYw06ERERhWMT98QwQc94jdpJXKi2vVOnTnjooYdSXk7oWXaXy4WOHTviqaeeUv42cOBA3H333QCA7du3q+bTNtEPHw5N6/F4sHv37oTmCZ8vlXWRTcSrIefBM7EadH5PREREmYMJemKYoGe8uJ3ERevgLVbHbw6HAy1atECXLl0wYsQI/OY3v1E6cTPS+PHjMWvWLDRt2hSA3KlbuNzcXNVwTk6O8rmqqgqA3Cw+fFtizRM+Xyrr0uPxeODxeJTh0GMDfr9f9Qx/iMPhgNPpVLrydzqd8Pl8UfeH0+mEw+GAz+eDw+GAw+HQXW6IyyWHhM/nU32OJisrC4FAAIFAAC6XC4FAIOprBkI3WcLL7vf7o/Z6GNrW8LInsq1erzehsodPE9qOeGUPBAIIeDwxfzg+jweS32/6fvL7/bjooovg9/vTvp/89fUIT8eDTicgSQhvh+Orr4fz3PfRKPvp3LYmUnb+nqJvq9frhSRJ6Nq1a8xXiHA/mb+fGvW4Z9B+Cj8ucT+Ju5/0yi7afgoGg+jWrRuCwWDU8nA/mb+fQmXz+/1w+P2q64BAVpaqpjDg8wGBQNr3U/hxSYT95NJ8T+GCPh98MfYrj3vm/Z6SfRV5LDETdO1GOhwOZeVTp07FX/7yF8MKEkvnzp3x/PPPw+Px4MCBA3j77bdRXV2NBQsW4PPPP8cHH3yA0tLSiC851nBoO5KZJ9X5Yu2wGTNmYPr06RHj16xZg2bNmkWMLykpQa9evbB9+3ZkZ2eje/fu2LJlCyorK3WX37NnT5SWlmL9+vXo0aMHCgsLUVZWFvUHMmTIEGRnZ2PFihUYMWIE6urqsHbtWt1pXS4XRo4ciaqqKuzYsQNDhw7FoUOHUF5erjt9mzZt0K9fP+zZswd1dXXKdhw8eFB3+m7duinbV1RUpGxHbW2t7vR9+/ZVtm/AgAHKdkQT2r4NGzYo27Fp0ybdaXNycpTtq962DVdGXSqwdfNmNBFoP+3fvz/t+2nn9u24PGyaM+duQoV3lbht61Z0C9uOaFLdTxUVFcp2hLeSCcffU+K/p4suuoj7CeLvJ6v8nvbu3cv9ZIH9BIj/e9q2bRv3E8TfT9u3b0e3U6cQfmV7/PRptA4frqrCqUOHTNtPe/fuFWI/DdN8T+Hq6+rwQZRt5XHP3N9Tqm8t0yMFk1iaI+wZ0t/85jdpS9C1jh49ip49eyrvGb/pppvwzjvv4JFHHlG9lu348eNo1aqVMjx69Gi89957AIAOHTqgoqICHo8H2dnZypc6depUvPDCC8o8n3/+Oa666iplePbs2Zg4cWJK69KjV4NeXFyMI0eOqJ6FD7HjHVXL3anbtQuuyy6LulzfW29BGjPG9P3k8/mwdetWXHXVVcjOzk5vDfqSJXCOHatME7zoInnZe/eeL9/ixXCe67vBzndUQ2W38u8JALZs2YIrr7xS2Y5Y28r9FLmtlj/uGbSfwo9Lbreb+ymBbeXvKXJb/X6/KpbCr0/1tpX7KXbZ01aDXloKKex6ODBoEBwff3x+eORIYNmytO+n8FjKysoyfT+5LrhA9T2FCz70EHznOqXWw+Oeeb+nY8eOoaCgADU1NREtq5OV1HvQ586dq3y+5JJLGrTihigsLMQ111yDd955B4D8jDoAXH755arp9u3bp0qu9+3bp3wOTet2u9G1a1fljkv4NHrDoflSWZcet9sNt9utOz5L+/qJMM6w53mjXTCHC58m1nL1pok3fShwtZ+jCS+70+lUDesJL3si25pM2cOnSaTsDocDjjhNWFySpDxvbeZ+cjqdKC4uVuIrnftJO6WkM69LkoBz32Wj7Kdz0yRSdv6eogudJDt27KgkVPGmB7iftCx/3DNoP4Ufl0LL5H6KPz1/T2pOpxOSJKGoqAhZWVlxp+d+ii6dvyft89MOzfWvIxBQOpRN537SOy6Zup9iPE4mBQI87oUR6fcUb93JSCpBv+OOOwxbcSJWrVqFnj17ok2bNqrxVVVV2Lx5szIcakI+fPhwuN1upUZ6yZIlStK8c+dO7Nq1S5ln9OjRyudRo0YpCfq6detQXV2N1q3lRjeLFi1SpuvQoQN69+7doHUlKl5Akoks0ou7w+FAaWmpOSvXfgcuF6C9S8nXrFmGqbFEtsJYIqMwliwoXidxMWpXG5NwsRTrexDkGpMiGZm7JZWgV1ZWYuHChcpwcXExfvazn+lOu3TpUlWz7vHjx6OgoCCpwr300ktYuXIlhg8fjiuuuALNmjVDRUUFli5dih9++EGZ7oYbbgAA5OfnY/LkyUoT9eeffx7Hjh1Du3btMGfOHGX6kpIS3H777crw1KlTMWvWLNTW1uLUqVMYOHAgxo0bh507d2LJkiXKdNOmTVPujqS6rkTFagJCJot3cBRk3/l8Pqxfvx4DBw5M6C6hofR6cdcm5DzJWIapsUS2wlgiozCWLEjQXtyFi6VY34Mg15gUycjcLakofPfdd/Gb3/xGqbFesGBB1GklSVJNm52djYkTJyZdwPr6erz//vt4//33df/es2dP/PnPf1aGn332WXz55ZdYs2YN/H4/Zs+erZq+VatWWLx4MVq0aKGM69ixI9544w2MHTsWHo8Hu3btwuOPP66a77bbbsOUKVNU41JZV6KM7GiADGaRGvRgMIja2lpzYkl7kHI6lebsCtagW4apsUS2wlgiozCWLEh7fZRE0+7GJFws8TVrlmRk/CRVF//hhx8qBSgsLMTYsE6gtH72s5+hQ4cOSmHLysqSLtz999+Pe++9Fz179kRhYSFcLheaNm2K0tJSjBo1CnPmzMGWLVtUTeCzs7PxwQcfYObMmejbty9yc3PhdrvRuXNnTJkyBTt27ECfPn0i1jVq1CiUl5djwoQJKC4uRpMmTZCXl4ehQ4di4cKFmD9/fkTThVTXRRZnkQTdVHo16NqmP/yeiIiIMoegNejCYYKe8ZKqQQ89Vy1JEvr37x+zrb0kSfjxj3+MxYsXq+ZNxrBhwzBs2LCk53O5XJg0aRImTZqU1Hzdu3dXdYTXmOsiC7NIE3dT6SXoWqxBJyIiyhza8z4TdH1M0DNeUgn6kSNHlCbr7dq1izt9YWEhALnG/ciRIykUj0hArEGPTy9B1zb94fdERESUOViDnhgm6BkvqQT99OnTyucTJ07Enb6mpkZ3XiJLY4IeHxN0IiIiCqc972tfM8zrAhkT9IyX1DPorVq1AiDXiK9fvz7qy+ABwO/3Y926dUqNe8uWLVMvJZFImKDHl8gz6GziTkRElDlYgx5fMBj7+ojfUUZIKkEvLS1VOn377rvvMGPGjKjTzpgxA999950y3KlTp9RKmKGMfNk9Gcwiz6A7nU707dvXnFjSS9C15eBJxjJMjSWyFcYSGYWxZDHBYGRLOkESdKFiKV7lBa+dhGVk/CTVxP3HP/4xPvvsM0iShGAwiMcffxw7d+7Evffei+7du0OSJHz11VeYNWsW3nrrLWU6SZLQr18/wwqdCYx82T0ZzCI16A6HQ+kHIu30EnTtONagW4apsUS2wlgiozCWLEbv2kiQBF2oWLLINSZFMjJ3S2pJ48ePVz6Hku+33noLQ4cORYcOHdC+fXsMHToUb731VsS74MLnpfi8Xq/ZRaBoLHLw9Hq9WL58uTmxpP0OXC7WoFuYqbFEtsJYIqMwlixG4ARdqFiyyDUmRTIyfpJK0Hv37o2f/OQnSvIdStL1/oWePZckCcOGDcPVV19tWKEzgcuVVOMGSieLHDxdLhcGDBhgTiwl0sSdNeiWYWoska0wlsgojCWLEThBFyqWLHKNSZGMjJ+k6+LnzZuHDh06KMOSJOn+A+TO5Nq3b4958+YZVmAi01nkGXQAyM7ONmfFiXQSx5OMpZgWS2Q7jCUyCmPJQgRO0AGBYokJOiGFBL1t27bYtGkTrrzySqW2XCs0/qqrrsLGjRsTemc6qfkESvJII96+EeTg6fP5sGLFCnNiSbtO1qBbmqmxRLbCWCKjMJYsRu/aKCtLPWzSvhQqlixyjUmRjIyflOrii4uL8dlnn2HJkiVYunQpNm/ejB9++AEAUFhYiB/96EcYO3YsxowZY1hBiYTBu5vxsQadiIiIQvRuygtUgy4MXmMSUkzQQ37xi1/gF7/4hVFlIbIGCzVxNw2fQSciIqIQwZu4C4MJOiGFJu5EGY8Hz/hYg05EREQhTNATw0ogQgNr0AHg7Nmz+Pzzz/HDDz/g1KlTuPjii9G7d28jykYkJibo8SVSg87viYiIKDMwQU8MrzEJDUjQy8vL8fTTT2PFihWor69Xxk+dOhVXXnklbrrpJpw6dQoAMHDgQDz55JMNLiyREHjwjC+RGnQ2cSciIsoMTNATw2tMQopN3P/617/iRz/6Ef75z3/C4/FE9ObucDjQrl07rFu3DuvWrcOf//xnnDlzxrBCE5mKzY/i035HLhdr0ImIiDIVE/TEMEEnpJCg/+1vf8N//dd/wev1IhgMqt57Hu7WW29VPp85cwZlZWUNK2mGMfJl92Qwixw8XS4XRowYYU4ssQbdVkyNJbIVxhIZhbFkMQIn6ELFkkWuMSmSkfGTVIJ+9OhR/OY3v1GSckmSdN+DDgADBgxAixYtlOR9zZo1DS8tkQgsdPCsq6szZ8V8Bt12TIslsh3GEhmFsWQhAifogECxZKFrTGo8SSXor7zyCk6fPg0ASmLep08f3STd5XLhsssuU/72xRdfNLSsGcXIl92TwSxy8PT5fNiwYYM5scTXrNmKqbFEtsJYIqMwlixG4ARdqFiyyDUmRTIyfpJK0D/88EMAUJq2v/322/j0008BQLeZe+fOnZXp9+3b19CyZpSsrCyzi0DRWOQZ9KysLIwcOdKcWOJr1mzF1FgiW2EskVEYSxajd87X7rtAAIjSMrcxCRVLTNAty8j4SSpB37t3r9K0ffDgwbjxxhtjTt+yZUvl84kTJ1IqYKYKsHZRXBY5eAYCARw9etScWGINuq2YGktkK4wlMgpjyWK01wUOR+R1AWDKtYFQsWSRa0yKZGT8JJWghyfZ3bp1izt9TU2N8lmIoLcQP3+A4rLIwdPv92PTpk3mxJK2FQFr0C3N1FgiW2EskVEYSxajzQP0btwDprRCFCqW4m2/CGUkXUbGT1IJem5urvL56NGjcaffvXu38rlVq1bJrIpIXBZp4m4q1qATERFRSCLXBXrTZRqLVAJR40oqQe/YsSMA+ZnysrIyHD9+POq0W7duxWeffaY0ib/gggsaVlIiUfDgGR+fQSciIqIQJuiJ4TUmIckEvX///koHcadOncJ1112HdevWqaY5ffo0li5dihtuuEH1GrYf//jHhhWayFQ8eMan/Q5cLr5mjYiIKFMxQU8MrzEJSSbot912m/JZkiRs27YN1157LQC5Vj0YDOK1117DzTffjB9++EE17+23325AcYkEwINnfInUoLOJOxERUWZggp4YXmMSkkzQf/SjH2HkyJGq955r34EeStRDr12TJAk33XQTLr/8cgOKSySAeM+Y8xn0xE7EPMkQERFlBiboiWE/R4QkE3QAmDdvHjp37qwk4dH+AXKy3rlzZ7z66quGF9zu9N4rT4KwyN1NSZKQk5NjTizpnYhdrtjTkLBMjSWyFcYSGYWxZDECJ+hCxRJ7cbcsI+Mn6QS9devW+PTTTzFixAiltlxbox76d/3112Pjxo3Iz883rMCZwqVNZkgcFknQXS4Xhg4dak4sJZKg8y6wZZgaS2QrjCUyCmPJYhLpm0ZvujQQKpYsco1JkYyMn5SW1Lp1a7z//vvYsmULli5dis2bN6OyshIAUFhYiKuvvho///nPcc011xhW0EzD98YLzCIHz0AggEOHDqG4uBgO7fPfjY0Juq2YGktkK4wlMgpjyWK053yBEnShYok16JZlZO7WoFS/T58+6NOnj1FloTBM0AWmPTg2aQLU158fFiTxDAQCqKioQFFRkZgJutebvvJQg5gaS2QrjCUyCmPJYgRP0IWJJSboliVMgk6NR4hmNqRPe3B0u9UJuiAHT5fLhX79+pmzctag24qpsUS2wlgiozCWLEbgBF2oWGKCblmmN3EPqaioQFlZGcrLy1FVVQVJktC6dWv07NkTw4YNQ8eOHY0qZ8bx8wcoLr0a9Fh/N4nf78eePXvQpUsXOPVOgo1Je4Jhgm5ppsYS2QpjiYzCWLIYgRN0oWJJ71n98O9OkGtMimRk7pZSgn7kyBH813/9F5YuXRq1ME6nEz//+c/xl7/8BR06dGhQITMRm7gLLF6CLkjiGQgEsHv3bnTu3Dn9JxzWoNuKqbFEtsJYIqMwlixG4ARdqFjSfk9ut3pcMCj/E6HHeVIxMndL+kGLzz//HJdddhkWLVoEn8+n6rU9/J/P58PixYtxxRVXYOvWrYYVmMh0ek3cY/09E+ndAWaCTkRElJm0/c64XHKSqU00M/3aQC9B1+J1pu0llaBXV1fjpz/9Kaqrq+O+B12SJASDQVRXV2PEiBGorq5urG0gSi+LNHE3FWvQiYiIKESvBj38/5BMv4bSfk9Nm8afhmwnqQT9ueeeU541D72MPVoNOnD+he1VVVV47rnnDC46kUni3d3M9JMLwASdiIiIztOe87Oy1P9Hmy7TaK+fmKBnpKSeQX/33XeVpBuQk/M+ffrgJz/5CTp27IhgMKh0HLd582ZVTfq7776LP/3pT4ZvAFHaxbu7yQOn/olY27yN3xMREVFmSLQGPdNfwZpIE3deP9leUgn6oUOHAEBp3j5r1ixMnDgxYrrp06fjb3/7GyZOnKgk9KF5iSyPNejx6T1rxhp0IiKizJRogp7p1wZs4k5Isol7ixYtAMhN1wcNGqSbnIfcddddGDx4sNLcPScnpwHFzDwOR9L991G6WCRBdzgcKCkpMSeW9E7EPAlblqmxRLbCWCKjMJYsJlqCLkATd6FiiQm6ZRkZP0kt6bLLLlMS7ksuuSTu9BdffDEAOaG/4oorUihe5jL9NQ8UnUUSdKfTiV69epkTS3pN3JmgW5apsUS2wlgiozCWLEbgGnShYinem4IAXj8Jysj4SSpBnzBhgvL5P//5T9zpv/32W+XzXXfdlcyqMp6RL7sng8VL0AU5cPr9fmzbts2cWGITd1sxNZbIVhhLZBTGksUI/Ay6ULHEZ9Aty8j4SSpBv/322zF8+HAEg0GUlZVhxYoVUaddvnw5PvzwQ0iShDFjxuCWW25pcGGJhGCRGnQAyM7ONmfFbOJuO6bFEtkOY4mMwliyEIFr0AGBYolN3AlJdhK3fv16TJ06FV9//TUOHjyI0aNH4+c//zmuv/56FBcXQ5IkHDx4EB988AGWLl0KQG4Kf++992L9+vVRlztw4MCGbYUNCdHMhvRZJEF3Op3o3r27OSvX3gFnE3dLMzWWyFYYS2QUxpLFCPwMulCxxATdsozM3ZJK0AcPHqz0yi5JEgKBAJYuXaok4+FCPb3v2rULw4cPj7pMSZLgY6BF4HciMIu8Zs3n82HLli3o06cPXNrkuPFXrh5mDbqlmRpLZCuMJTIKY8liBG7iLlQsJfIMuiAVQaRmZO6WdBSGOokLf8e5nlAiH+3vFBu/N4FZpAY9GAyisrLSnFjSOxELcJecUmNqLJGtMJbIKIwlixG4ibtQsaT3PTmd6mtLXj8Jycj4STpBDyXe0YbjTR9OiB8CUbIskqCbJhhkE3ciIiI6T+Am7kKJ1gKRCXpGSbkGnShjJZKgB4NAnJtXthUIRI5jE3ciIqLMpff6VYDXBlrREnSPJ/o0ZDtJJeh33HFHY5WDyDoS6cAjEJCbJGUivROHXoJuwnNmREREZAKBn0EXirYVptPJmxgZKKkEfe7cuY1VDiLrSOQdlX5/5iboeifXaE3cM7mlARERUabQXhsI9Ay6UNjJLiHJ96ATERJP0DNVojXogH5zeCIiIrIXPoOeGCboBCbowuJ70AVmkQTd6XSiZ8+e6Y+lZBJ0nmQswbRYItthLJFRGEsWI3ATd6FiiQm6ZZn2HnRKH4eD906Elcgz6AIcPB0OB0pLS9O/4kSbuAPy96R3g4OEYloske0wlsgojCWLEfg1a0LFEp9BtywjczdDljR37lwMGjQI+fn5yM7ORlFREUaPHo0333zTiMVnJCNfdk8Gs0gNus/nw0cffZT+WGINuu2YFktkO4wlMgpjyWIEbuIuVCxFew96rGlICEbGT9Qa9KqqKtx3333KcHZ2NubNm6d6r3kwGMTYsWPxzjvvKMMAcPjwYSxfvhzLly/Ha6+9hn/+859o0aKFYYXOBKxBF5hFEnSHw4EePXqkP5b0atCZoFuaabFEtsNYIqMwlixG8Bp0YWKJTdwtKy016P/+97+xZMkSLF26FEuXLoUkSarkHAD+8pe/4O2330YwGEQwGFSmkSRJGbd27VrcfffdhhU4UwhxkCB9FmriXlhYmP5Y0tv2WE3cSXimxRLZDmOJjMJYshiBn0EXKpa03xObuFtGWhL0bdu2AThfKz5+/HjV3+vr6zFjxgxVUh4uPFFfvHgxtm7dmnThKioq8PLLL+Pmm29Gjx49UFBQgCZNmqBt27YYMWKEUnOv5ff7MWvWLPTv3x95eXnIzs5Gly5dMHXqVBw+fDjq+r755hvcdddd6NSpE9xuNwoKCjBs2DAsWrQo6jypriseb6a/B1JkFqlB93q9WL58efpjSe/EoXeCiTYtCce0WCLbYSyRURhLFiNwDbpQsaS9fmQNumUYGT9Rm7iHEnRAbt4+ZMgQ1d9XrlyJY8eOKUm4nvCkfcGCBbjqqquSKtz8+fPx8MMPR4w/evQoVq5ciZUrV+Lee+/FK6+8ovzt7NmzuPHGG1FWVqaaZ+/evXjxxRfxj3/8Ax9++CF69+6t+vuKFSswZswYnD17VhlXXV2N1atXY/Xq1VixYgXmzp2r2qZU10UWZ5EEHTCpLwPtAcrhkP8xQbc0IZ7NI1tgLJFRGEsWot1XoWfPBXgGXV6tILHEJu6EGDXo3377LQA5yb788suRpfkBrVq1KmKeLl264JNPPsGePXvwq1/9Smn2DgCbN29OuZAdO3bEPffcgz/84Q+4/fbb4QoL1FmzZmH16tXK8GOPPaYkzE6nExMnTsTjjz+OkpISAMCxY8cwduxYnD59WpmnoqIC48ePV5LzSy65BE899RTGjRunTPP666/j5ZdfVpUrlXWRxQUCke/uFjhBN0W0kzATdCIioswkcBN3oSSSoGfyNWaGiFqDfuzYMeVzly5dIv7+r3/9SzUsSRL++te/om/fvgCA1157DR988AEqKysRDAaxd+/epAtXWlqKBQsW4Oabb1a9W2748OG4/fbbleGVK1fiuuuuw/Hjx/HSSy8p46dNm4ZnnnkGgNxE/+KLL0YwGMT+/fsxf/58TJo0CQDw4osvoqamBgCQk5ODDRs2ID8/H4D8PMGCBQsAADNmzMCkSZPgdDpTXhdZnN5BUdBn0E2T6ElYb1oiIiKyH4GbuAuFz6ATYtSgHz9+XKn9zs3NVf3t7Nmz2Llzp6q5d25uLoYPH64Mu1wuDBo0SGn+HkqAk3Hrrbfi1ltvjXjx+0033aQarq+vBwCUlZWpmqiPGTNG+dytWzf06NFDGV62bJnu58GDByvJuXYZFRUVyrP0qa6LLE7voMgadDXt3e/QiUX7mhCAJxkiIqJMIPBr1oTCZ9AJMRL0U6dOKZ9Pnjyp+tvWrVvhPxdAoWbs/fr1i+i9rk2bNsrngLZZcAPs3r1bNXz11VcDALZv364af+GFF0YdDk3r8XhUy4s1T/h8qayLbEDvoNikSeS4TE7QozVxlyS+y5OIiCgTsQY9MXwGnRCjiXtOTg5OnDiBYDCIXbt2qf4W/sx3SKhpe7ja2lrlc/PmzRtSTsXp06dV72fv2rUrbr75ZgByp27htDX/OTk5yueqqioAckuB8E7uYs0TPl8q69Lj8Xjg8XiU4dDNEK/Xq9sboMPhgNPpVG6QOJ1O+Hy+qB31OZ1OOBwO+Hw+OBwOOByOmL0Mhp7v9/l8qs/RZGVlIRAIIBAIwOVyIRAIKGXTkiQJLpdLVXa/3x/15k1oW8PLnsi2er3ehMoePk1oO+KVPVBfH3FXyxsMwuV0Qgqb119fDydg6n4Kze/1etO7nzTlCLpc8J0ri8vlUn1PQa8XCAaN309h25pI2fl7ir6tXq9XmSbRbeV+itxWSx/3DNxP4ccl7idx95Ne2UXbT6Fpok0bvq3cT7HLno7fU9DnQ/j7nnyQrwEckoTwW/fB+npI58qSrv0Uflwyez+5vF7V9xQ818Q9fJzf40Egyr7lcc+831O0ZaUiaoLesWNHnDhxAgDw+eefY/Xq1cpz3q+99lrEa9UGDhwYsYxDhw4pn9u2bdvgwlZWVmL06NHYsmWLssz33nsPTc89A6z9YmINh8qfzDypzqf9rsLNmDED06dPjxi/du1aNGvWLGJ8SUkJevXqhe3btyM7Oxvdu3fHli1bUFlZqbv8nj17orS0FOvXr0ePHj1QWFiIsrKyqD+QIUOGIDs7GytWrMCIESNQV1eHtWvX6k7rcrkwcuRIVFVVYceOHRg6dCgOHTqE8vJy3enbtGmDfv36Yc+ePairq1O24+DBg7rTd+vWTdm+oqIiZTvCb/yE69u3r7J9AwYMULYjmtD2bdiwQdmOTZs26U6bk5ODoUOHouLAARRr/rZ63ToMdzjgDDuI7Pn6a3S/6ioh9tPatWvTu580B7CzXi/Kzu2HkZKkOuicqalBE5/P8P106NAhVFRUKNuhbXUTwt9TYr+n/v37Y8CAAbqdg4ZwP5XrTm+H415j7KdVq1ZxP1lgPwFi/56GDBmCr776ivsJYu+nXr164WxtLbLDptn25Zf4PjcX3ffvR7ew8Wdqa9EcMGU/rVq1yvT9NPj4cbQMm77O60VTp1OVoH+9Ywf26mwvj3vm/p6MJAWjpPv33HOPkogHg0G4XC5ceuml+O6771BdXa1KVHNzc1FZWanq6T0QCKBVq1ZKD+bXX3893n///ZQLumfPHlx//fXYt28fAKC4uBhlZWXo3r27Ms0jjzyCGTNmKMPHjx9Hq1atlOHRo0fjvffeAwB06NABFRUV8Hg8yM7OVhLqqVOn4oUXXlDm+fzzz1Wvh5s9ezYmTpyY0rr06NWgFxcXo7KyEi1btoyY3m53VC13p66iAo6OHVV/8x45AteFF0I6c0YZ5//kEzj79TN1PwXP1Uy7XC40adIkfftp+XJg9Ojz5bjgAvjOHTBdhYWQzt34A4Dgxx8DAwbY+o5qqOxW/j2F5gutN962cj9Fbqulj3sG7qfw45LL5eJ+SmBb+XuK3Fa/349gMKg8Zhmt7NxP5u+nUNmCXbtC2rNHmcb31lsI/uxncDzzDJxhFVXBm26C9M47ad1P4cclh8Nhbg36FVdA+uqr82V7801gwQJIYf1Z+Z96CoHf/153+Tzumfd7qqmpQV5eHmpqaiJaVicrag36L3/5S7z22msA5C/B5/Phiy++UE0TOjDeeuutEa9h+9e//oVTp04pF3OXXXZZyoX85JNPcOONNyrNynv27In3338fRUVFqukuv/xy1fC+fftUyXUouQ+f1u12o2vXrsodl/Bp9IZD86WyLj1utxtunU7GJEmK+E7DhXecFwroWMKnibVcvWniTR8KXO3naMLL7nQ6IzoB1AoveyLbmkzZw6dJpOwOnR9+VnZ2xPNBznM/eDP3k9frxapVqzBixAi57OnaT5qDr+RynS+b5nl9yesF4sR6SFL7KWyaRMrO31N0WVlZ8Hq9WLlyJUaMGBG3/NxP+ix93DNwP4Ufl0LL5H6KPz1/T2pOpxNer1ep/Y23fO6n6NL1e5I0yY2rWTO5jxrNNbB07hoinfsp/LgUWq9p+0mTkEpZWbrXmM4Y28vjXnSN+XuK9bhNsqJu9aBBg3D99dcrdxYkSVL9C2nWrBkeffTRiPn//ve/Azjf1FvvGfVELF68GNddd52SnI8YMQIbNmyISM4B+fVr4cnukiVLlM87d+5UPUs/OqyGb9SoUcrndevWqZ4vX7RokfK5Q4cO6N27d4PWlahEgoZMoHfnz+WK7IVUgPd4ulwu1ckmbaL14g5Edqh37g0MJDbTYolsh7FERmEsWYz2fB+6HtDuvxg1rI1FqFjSbr+Tr1mzCiPjJ+aS/vGPf+D6669XnvkOT8yDwSDcbjfmz5+Pjpomv0ePHsXChQtVzeMHDx6cdOEWL16MW265RUnyCwsLMXDgQLzyyiuq6YqLi3HLLbcgPz8fkydPVpqoP//88zh27BjatWuHOXPmKNOXlJSo3qM+depUzJo1C7W1tTh16hQGDhyIcePGYefOnarEe9q0acqdl1TXRRand1B0OoVM0AGgrq4uoqPDRqf9jsK/GybolmVKLJEtMZbIKIwlC9FeF4WuDQR5zZowsaS9LsrK4htwMlDMBD0vLw+ffPIJXn31Vbz55pv48ssvcerUKbRp0wZDhw7F7373O9X7vkOWLl2qes3YlVdemVJb/J07d6qeDTh69Ch+r/PMxaBBg3DLLbcAAJ599ll8+eWXWLNmDfx+P2bPnq2atlWrVli8eDFatGihjOvYsSPeeOMNjB07Fh6PB7t27cLjjz+umu+2227DlClTVONSWVeiYj2jQSayUA26z+fD2rVrE2r+ZyjWoNuOabFEtsNYIqMwliwm0Rp0E66fhIol7fY3acIadIswMneLWxfvdDoxadIkTJo0KeGFTp48GZMnT25QwVKVnZ2NDz74AK+99hr+/ve/Y+fOnfB4POjYsSOuv/56/P73v9dtHj9q1CiUl5fjueeew5o1a/DDDz+gefPm6NWrFyZOnIhx48YZti6yML0fn8MhZIJuGu13FH5i0fa3wASdiIjI/qLVoAuQoAtF73tigp5xBHjYIronn3wSTz75ZNLzuVyupG8qAED37t0xd+7ctKyLLEov+ZQkJujhYiXorEEnIiLKPNFq0AVp4i4MJuiEGJ3EEZGOaMknE/Tzop2EtZ/1piUiIiJ7CQaj90+jbVkX9urhjMQEncAEnSg50RJ0Jp7n6T0/pfcZyOzviYiIKBPoVVqErgd4XaCmV8nBSqCMwwSdKBnROkDjwfM8vR5IQ3giJiIiyix610ShawNeF5wXCMj/wmVl8RozAzFBJ0pGtNphQQ+eprzTk03cbUmI98OSLTCWyCiMJYvQO9eHrgcEaeIuRCxFu5GhvXYS5BqTGo8A0Uh6TH/NA+lLtJMTAQ6eWVlZGDlyZPpXzATddkyLJbIdxhIZhbFkIYLXoAsTS9G+J+01Jq+dhGRk7sYadEEFtE1cSAwWqkEPBAI4evRo+mOJz6DbjmmxRLbDWCKjMJYsJFYNugDXBcLEUrRn9QX4jig+I+OHCbqgTD9IkL5oz1cLmqDv2LEj/bHEZ9Btx7RYItthLJFRGEsWoneuF6gXd2FiKdr3JOA1JkUyMn7YxF1QQjwLQ5GiNd8W8Pkgl8uFoUOHpn/FbOJuO6bFEtkOY4mMwliyEMF7cRcmlhJ9Bp3XTkIyMndjDbqgTL+LR/r03k8Z/n+IAAfPQCCAAwcOmF+DzgTd8kyLJbIdxhIZhbFkIXrneqdT/l9bg+73y//SSJhYSvQZdAEqgSgSm7hnAH+aD06UIAt1Euf3+1FeXp7+WGKCbjumxRLZDmOJjMJYshC9vmkk6fxnrTRfGwgTS6xBtzQj44cJOlEyEq1BFyBBNw07iSMiIqKQZPqm0Zs+U/A1a3QOE3SiZFioBt00yZyITXrfKREREaVJrBv32ibuQOYm6NrtdrnklgYCPkZJjYsJOlEyLNRJnGnYxJ2IiIhCkq1Bz9Sb99FaafIaM+MwQSdKBpu4x8cEnYiIiEKSefQNyNxrAwt1REyNiwk6UTLYxD0+PoNOREREIbFq0NnE/bxo10+sQc84TNAFJYV6tySxWOjupiRJaNOmTfpjKZmmbAJ8TxSfabFEtsNYIqMwliwkVss6pxNwaNKRNDdxFyaWLHSNSZGMjB/j3qhOhjLyZfdkIAvVoLtcLvTr1y/9K451ItbeKedJxhJMiyWyHcYSGYWxZCHREs+QJk2As2fPD6f52kCYWIpWwcEadEswMndjDbqgTH8XI+mz0DPofr8fX3/9Nd+DTg1mWiyR7TCWyCiMJQuJdV0AmH7zXphYSrSTOF47CYnvQScyi8V6ca+rq0v/Spmg25IpsUS2xFgiozCWLCKRGvRwJvTiLkQsRXsGXcBKIGpcbEctKKfTaXYRSI+Fmrg7nU706tUr/SuOdSJmgm5JpsUS2Q5jiYzCWLKQeDXoJl8bCBNLrEG3NCNzN9agC8r0Zjakz2JN3Ldt28Ym7tRgpsUS2Q5jiYzCWLKQeDXoAjRxFyKWEr3GDAYBs8tKEdjEPQMEAgGzi0B6Eq1BFyDxDAQCOHjwYPpjiQm67ZgWS2Q7jCUyCmPJQrRN1uPVoKe5ibswsZRoJ3F605LpjIwfJuhEybBQDbppmKATERFRiPZcr60x57WBLNFrTCBzv6MMwQSdKBkW6yTOFNE6OdF+BniCISIisjttjbg2QecrWGXRrp/0atAz+TozAzBBJ0pGogm6CT2QCiNaEy2ACToREVGmiZeg8xpKFu36iTXoGYcJOlEyojU/0p5sMvXkAiSfoAeDjV8mIiIiMkeyz6BnavIZ7UYGa9AzDhN0omREq0Fngi7z+QBtJxnh3432JMOeSImIiOyNTdwTk0yCnqnfUYZggi4oh4O7RkgWqkF3OBzo1q1bemNJb7ubNj3/mScZSzIllsiWGEtkFMaShSTbSVyar6GEiaVoCbpeE3fWoAvHyPhxGbYkMpSRL7snA0Vrvi1ggu50OtG9e/f0rlRvu2PVoAPyd9qsWeOViRrMlFgiW2IskVEYSxYieA26MLEU7XuSJPl6MzwpF+A6k9SMzN1421FQPp/P7CKQnmgHTwETdJ/Ph40bN6Y3llJN0ElopsQS2RJjiYzCWLKQZDuJS/N1gTCxFOt7Cm+NCABnzzZ+eSgpRsYPE3RBmd7MhvRpD56hA6b2ZOP1Rj6LnWYOhwNFRUXmN3Fngm55psQS2RJjiYzCWLIQwXtxFyaWmKBbGpu4ZwDTDxKkT3tAjFaDDsiJp/aAmkYOhwOlpaXpXaneCYMJuuWZEktkS4wlMgpjyUKidbAbYnITd2FiiQm6pRmZuzELFJTpzWxIX6I16HrTppnP58NHH31kbhN3SQJcYfcBmaBbkimxRLbEWCKjMJYsxAJN3IWIJSbolsYm7hkgyHdDiynRZ9D1pk2zYDCI2tra9MaS3vcjSeeHnU75Xzgm6MIzJZbIlhhLZBTGkoUI3sRdmFiKVgmk/QwwQReQkfHDBJ0oGdoDosA16KaIdXIJMflOOREREaWR4L24C4M16HQOE3SiRPn9gLb5isA16KaIdxIGTL9TTkRERGkkeBN3YTBBp3OYoBMlSi+RDB0w9Z6tzsTEM5UEPVNPxERERJlAe54XrIm7MJJJ0OvqGr88ZBom6ESJivUKMYcDyMqKP73dMUEnIiKicNprA8F6cRdGtDcFAaxBzzBM0IkSpXcwDD9gak8wTNCZoBMREWU6NnFPTKzvKTtb/Tcm6LbGBF1QTm1P12S+WDXo2s/Rpk8jp9OJvn37pjeWmKDbkimxRLbEWCKjMJYsRPBe3IWJJT6DbmlGxo8r/iRkBiNfdk8GsViC7nA4UFhYmN6VRuvlPhwTdMsxJZbIlhhLZBTGkoUI3ou7MLHEBN3SjMzdmAUKyuv1ml0E0tIeDB0OwBV2j0uwBN3r9WL58uXpjSXWoNuSKbFEtsRYIqMwliwk2U7i0nxdIEwsMUG3NCPjhwm6oFwuNm4Qjt6BU5LUw7GmTzOXy4UBAwakN5b4mjVbMiWWyJYYS2QUxpJF+HxAIKAep70OMPm6QJhYYoJuaUbGDxN0okTFa74tWIIOANnaTkUaWyIJOk8ylpT2WCLbYiyRURhLFqB3jhesiTsgSCwxQadzmKALyufzmV0E0kr2GSqTE3Sfz4cVK1akN5YSSdDZE6nlmBJLZEuMJTIKY8ki9M7x2usAk5u4CxFLgYDc2iAcE3RLMTJ+mKATJUqbfGoPljx4sgadiIiIzqurixwXL0EXoAVi2sXriFh77aT3vZJtMEEnSpQ2kdQmn9oTTiYePFOpQc/E74mIiCgT6N2Et8AjgmkX70YGWx9mFCboRImKV4POxDNym/Ves8YadCIiosygvS6QpMgac73rp2CwccslmngJOq+dMgoTdKJExatB58Ez8gTTrFnkNGymRURElBn0OtgNfwMOEJmgBwKA2a88S7d4LQ14jZlRmKATJSpeL+6sQY/cZr1eUdlMi4iIKDNoz/GJXBcAmXcNpbe9TNAzFhN0okTFSz6ZoCeWoPMkQ0RElBkSefSNCbr+9xTe0oDXThmFCbqgjHzZPRnEYgm6y+XCiBEj0htLqdSgZ9pJ2IJMiSWyJcYSGYWxZBEWqEEXIpbiXT8xQReekfHDBJ0oURY8eNalO/llDbptpT2WyLYYS2QUxpIFWKQG3fRYivcYJa+dMgoTdEEZ+bJ7MojFatB9Ph82bNiQ3lhiDbotmRJLZEuMJTIKY8kiEqlBdzgie3ZP47WBELGUbCUQr52EY2T8sF2QoLKysswuAmlZLEHPysrCyJEj07tS1qDbkimxRLbEWCKjMJYsIpEadEC+Xqivjz5fIxIilpJN0P1+wOcD+IiHMIzM3ViDLqhAIGB2EUjLYgl6IBDA0aNH0xtLrEG3JVNiiWyJsURGYSxZRCI16Hrj03htIEQsJXuNCbCCQzBGxo/wCfrixYsxadIk9O7dG263G5IkKf+i8fv9mDVrFvr374+8vDxkZ2ejS5cumDp1Kg4fPhx1vm+++QZ33XUXOnXqBLfbjYKCAgwbNgyLFi0yfF3x+P3+lOelRmKxBN3v92PTpk3pjSXWoNuSKbFEtsRYIqMwliwimRr0WPM1IiFiKd73pPe98fpJKEbGj/DtIp555hl88cUXCU9/9uxZ3HjjjSgrK1ON37t3L1588UX84x//wIcffojevXur/r5ixQqMGTMGZ8OCvbq6GqtXr8bq1auxYsUKzJ07V3VjINV1kUVZsJO4tDtzRj3M96ATERFlLgvUoAsh3vfEBD2jCF+DLkkSOnfujFtuuQWDBg2KO/1jjz2mJMxOpxMTJ07E448/jpKSEgDAsWPHMHbsWJw+fVqZp6KiAuPHj1eS80suuQRPPfUUxo0bp0zz+uuv4+WXX27wusjCLFaDnnbBYGo16Jn2PREREWWKVGvQtTf87S7ZSiCACbqNCZ+gb9y4EXv37sWbb76JwYMHx5z2+PHjeOmll5ThadOmYfbs2Zg+fTrKysqU2u/9+/dj/vz5ynQvvvgiampqAAA5OTnYsGED/vu//xsLFy7E+PHjlelmzJihNF9IdV1kYUzQY/N4IsexiTsREVHmYg16YuJdY2p7uQd4/WRjwifo2dF+yDrKyspUTdTHjBmjfO7WrRt69OihDC9btkz38+DBg5Gfn6+7jIqKCmzdurVB6yILi9d8myeXyHGJNHE/c0aufSciIiJ7scAz6EKIl6BLEis4Mojwz6AnY/v27arhCy+8MGL4yy+/VE3r8Xiwe/fumPNo19GnT5+U1qXH4/HAE1bzePLkSQCA1+uF1+uNmN7hcMDpdCo1+U6nEz6fD8EoCY7T6YTD4YDP54PD4YDD4dBdbojr3OsafD6f6nM0WVlZCAQCCAQCcLlcCAQCUTtJkCQJLpdLVXa/3x+118PQtoaXPZFt9Xq9CZU9fJrQdsQsu+bg6Xe7EQj7LiWXS/2DqqszdT+F5vd6venZT7W1EQcUr8sFaLbD2ayZ+s5gMAhvbW3Uu+pJ76dz2xfa1kTKzt9T9G31er3KNIluK/dT5LZa9rhn8H4KPy5xP4m7n/TKLtp+Ck0Tq2Mm7ifz95N06pTqnO9v2lR17aRsq+YawH/6dMR02m01aj+FH5fM2k+OM2fgDN/+Jk0Q0Gyfq2lTSGFJua+2FkHNd8Tjnnm/p2jLSoWtEvTq6mrVcG5urmo4JydH+VxVVQVAbqoe/oXGmid8vlTWpWfGjBmYPn16xPi1a9eiWbNmEeNLSkrQq1cvbN++HdnZ2ejevTu2bNmCyspK3eX37NkTpaWlWL9+PXr06IHCwkKUlZVF/YEMGTIE2dnZWLFiBUaMGIG6ujqsXbtWd1qXy4WRI0eiqqoKO3bswNChQ3Ho0CGUl5frTt+mTRv069cPe/bsQV1dnbIdBw8e1J2+W7duyvYVFRUp21FbW6s7fd++fZXtGzBggLId0YS2b8OGDcp2bNq0SXfanJwcDNUk6N8fO4bPw5afc/AghoZP4PFge3k5sps3N3U/rV27Ni376YtPP8VVmr99uH49/G63aly/iy5CG810q//5T9S3bKm7/KT307ntq6ioULYj/CZcOP6eEvs99evXDy1atMCqVat0pwW4n0TYT41y3Guk/bRq1SruJwvsJ0Dc39OZM2eQk5ODXbt24dChQ7rTcz+Zv5/af/89ws/uuysqsEfznXbr1g3dNQn6od278UWU776x9tOqVatM20899uxBadh03x45gp0rVqj202hNDfqW9etRea5iD+Bxz+zfk5G9uEtBI9P9Rvbkk0+qkllt0e+9917Mnj1bGfb5fHA6z9+Puu222/DGG28AAJo2bYq6ujocPnwYHTp0UKZ57LHH8PTTTyvDe/fuRZcuXZThP/7xj5g2bVpK69KjV4NeXFyMqqqqiKQfsM8d1VDZLHWnrkMHIOyH7P/wQwSGDDk/0bffIqtbN9V8/hMngBYtMmM/bdsG15VXqv7mPXsWcKifpHF6PHBobnx5d+8GLrgg7rZa8Y5qqOzC7CdRfk/cTzG3lfspdtm5nyLLzv0UfVu5n2KXvTH3k+PaayF9/LHyN////A8C998fua333APMmaOMC/z61/D/+c8xt9VO+8k5fjwcS5Yo0/kffhiB6dPV+6lrV0j79yvT+N5+G8EbblAtn78n835PJ0+eRKtWrVBTU6ObwyXDVjXorVu3Vg3X1taiVatWyvDJsLtMoefM8/PzIUmSsoO0d4HC5wmfL5V16XG73XBrahgBOTCysrKizhd+MyAU0LGETxNruXrTxJs+FLjaz9GEl93pdKqG9YSXPZFtTabs4dPELbvmJouzRQs4w5cftv+Vac6eBc7VDKd7PwUCARw6dAjFxcUA0rCftDehmjdHlk5sw+WSn6UKOyhmeTxAnO1NeD9ppkmk7Pw9RRc6SYZiKV55uJ/0Wfa4B2P3k14scT/Fn56/JzWn04lAIIADBw6guLg47vK5n6Jr9N+T5k1GzpYt1ddOIZob947Tp+FI8LpA+zne9Nqy6x2X0r6ftNeYubmq7ykrKyviUUCXz6d77cTjXnSN+Xsyss5b+E7iknH55Zerhvft2xd1ODSt2+1G165dE5onfL5U1pWMaHeAyCSJvEKsefPI+Ux8xV4gEEBFRUX6YunUKfWw5mSrkKTI70o7Lwkl7bFEtsVYIqMwlixCe35v0UJ/Ou34NF4XCBFL2utFvWtKbSdxmfYqOsEZGT+2StCHDx+uqo1eEtZUZOfOndi1a5cyPHr0aOXzqFGjlM/r1q1TPV++aNEi5XOHDh3Qu3fvBq0rUYnc1aE0qq8HtM1stAdPvU7OTEzQXS4X+vXrl75Y0j6DFC1BB0w9EVPy0h5LZFuMJTIKY8kiEk3QtdcMUZ5rbgxCxFIiCbp2nInXmBTJyPgR/qg2c+ZMpTZ648aNqr89+OCDyudHH30U+fn5mDx5Ml544QUAwPPPP49jx46hXbt2mBP2XEtJSQluv/12ZXjq1KmYNWsWamtrcerUKQwcOBDjxo3Dzp07VYn3tGnTlKYRqa4rUUZ2NEAG0DsIak8yDgfQrJn6jqaJB0+/3489e/agS5cucZv8GIIJum2lPZbIthhLZBTGkkVYIEEXIpYSSdC13x0TdKEYmbsJn6C/9dZb+Disc4lwfw7rPGLKlCnIy8vDs88+iy+//BJr1qyB3+9XdeQGAK1atcLixYvRIizIO3bsiDfeeANjx46Fx+PBrl278Pjjj6vmu+222zBlyhTVuFTWlSg22RKMXgKpt1+bNxcmQQ8EAti9ezc6d+4sfoLOk4zQ0h5LZFuMJTIKY8kCgsHUE/Q0N3E3PZZSqUFn5YZQ2MQ9huzsbHzwwQeYOXMm+vbti9zcXLjdbnTu3BlTpkzBjh070KdPn4j5Ro0ahfLyckyYMAHFxcVo0qQJ8vLyMHToUCxcuBDz58+P6Kgg1XWRBeklkGx+pMYadCIiIgqprwe0vXYLWIMuBDZxpzDC16CvW7cu6XlcLhcmTZqESZMmJTVf9+7dMXfu3LSsiyxGm0A2bQro3WXN5INnMgk67wITERHZW6KtD/XGM0GPnIaVGxnDdjXoRI0ikQOn3ngm6Pp4kiEiIrK3ZBL0TK5B9/sj3xTEGvSMxgSdKBGJPkOVyQfPhiTomXQiJiIiygR6CXqzZvrTaq8Z6uoi355jV3qvS2MncRmNCTpRIrQnmWg16NoTTyYdPJNJ0HNz1cMnTxpfHiIiIjKP9tzevLn+44GA/jVDprSuS7Wfo0z5fjIQE3RBaTukI5NpD54WqEF3OBwoKSlJXywlk6Dn56uHjx0zvjxkmLTHEtkWY4mMwliyAO25XXvuD6d3zZCmm/emxxI7IrYFI+OHRzVB8ZUhgrFgE3en04levXqlL5ZOnFAPa2vJw+XlqYeZoAst7bFEtsVYIqMwlixAe27XnvvD5eQA2gQnTdcGpseS9lpRkoDs7Mjp2H+P0IyMHybogjLyZfdkgEQ7iROokxO/349t27alL5aqq9XDrVtHn5Y16JaS9lgi22IskVEYSxaQTA260xn596oq48ukw/RY0nuMUpIipxOoEogiGRk/TNCJEpFoDXrLlurhmprGKU+CsvXuwDYWJui2ltZYIltjLJFRGEuCSyZBB4CCAvVwmhJ0wORY0l4raq8lQ1iDnjGYoAuKTbYEk2gnca1aqYe1zb7TyOl0onv37umJJa838lkxJui2kdZYIltjLJFRGEsWcPy4ejhegt6mjXq4stLY8kRheixprxW115IhfAOO0NjEPQP4fD6zi0DhtAfPaHc3BapB9/l82LhxY3piSXsSBmIn6Nrn0M6cATweY8tEhklrLJGtMZbIKIwlC7BIDbrpsZRoDbo2cT9zRq4gISEYGT9M0AUVDAbNLgKF0ybo0To6EShBDwaDqKysTE8saZu3A7FPxHp/00vySQhpjSWyNcYSGYWxZAEWSdBNj6VEa9D1xpvYUpPUjIwfJuhEidAmj9EOngIl6GmlTdBbtACaNIk+vd4NjjQ+a0ZERESNTHttEKsXdyAyQU9TE3fTJVqDrvf9sXLDlpigEyVCewC0QA16WiXTQRwAZGVFfoc//GBsmYiIiMg82gS7sDD29Npn0DPlxn2iCXrTpoDbrR7HGnRbYoJOlIhEE3RtzbrHkxnPVmtPovESdABo1049zASdiIjIPrTn9XgJuom9uJsq0SbuQOT1J2vQbYkJOlEiUm3iDmRGLfrRo+rhtm3jz6Odhgk6ERGRPZw+LXdiFi7ZBJ1N3CMJ9LYgajxM0Ini8XiAujr1uESbuAOZcfBM9i45EJmgHzliXHmIiIjIPNob90D8m/d6NeiZ0Algom8KAiKvPzPhGjMDMUEXFN/rKRC9g1+0BL1pU6BZM/U4k5poOZ1O9OzZMz2xlEoNOpu4W0ZaY4lsjbFERmEsCU57XdC0aeR7vLW0z6B7vWl517fpsaTtxydWb/ds4i4svgc9Azgc3DXC0L4mBIj9fJAgTbcdDgdKS0vTE0vaEzFr0G0lrbFEtsZYIqMwlgSn17JOkmLPo61BB9JSyWF6LGm/q1iVHNoEXe81t2QKI+OHRzVBGfmye2qgw4fVwy1bRvaiGU6bnOo180oDn8+Hjz76KD2xlEoTd9agW0ZaY4lsjbFERmEsCS6VG/fNm0deX6XhOXRTY6m+PrKlZqzvSnvtpL1GJdMYGT9M0AXFO8IC+f579XBRUezptXc+TUrQHQ4HevToYU4NOjuJs5W0xhLZGmOJjMJYEpy2VZw2sdQjSZG16Gm4hjI1lpJ9Vr9DB/VwRYWx5aGUsQY9A/CEIxDtwU97cNTS3vk0sYl7YWFh48eS1xt5hzuVBP3oUSAQMK5cZJi0xRLZHmOJjMJYEpy2ZjeRBF1vujQ8/mZqLGkTdKczej9HQOQ1qLYSiUzDBD0DeL1es4tAIcnWoAvSxN3r9WL58uWNH0s//BDZy2q87wiIPAn7/XyWSlBpiyWyPcYSGYWxJDhtYt2+fWLzmZCAmhpLeo8Ixkr0tNdXFRWZ0dO9BRgZP0zQieJJtgZdoM7P0vI8lfYueVYW0Lp1/Pn0nrFiM3dh8TlPMgpjiYzCWBJYKk3cgchEPk3PWJsWS8n24aO9Bj19Oi093VN6MUEnikeboMerHdb+/dAhY8sjGu3d7fbt4/fUCugn8uzJnYiIyPpSTdAzrQl3steYepVEdv+OMhATdKJ4km3iXlysHq6osPez1XoJeqLYURwREZG9BIOWq0E3jbYSp2PH2NNnZ0c+o86O4myHCTpRLIFAZAIar4m7NkH3eu2deGpPnvG+n3ACPQ5AREREBjh1CjhzRj2OCbq+775TD8dL0IHMa2WQgZigE8VSVQVon0tK5DVrWVnqcXZu5p7sDYxwfBc6ERGRvejdbE/k7S5A5DXEkSNyJ7J2lUqCrr0OZYJuO0zQiWLRNhtyOOKfZByOzHoOXXt3m03ciYiIMpc2Qc/JAZo3T2xe7TWE3y9XlthVsk3cAb4LPQMwQReUy+UyuwgERN6VbNsWSGTfaJu5m5Cgu1wuDBkypPFjycgadDZxF1LaYolsj7FERmEsCSzVd6AD+q8Za+QaYtNi6dQp4Ngx9Tjt9aMevVetkemMjB8m6ESxHDyoHk7kziYgRIIOANnZ2Y2/koYk6KxBt4y0xBJlBMYSGYWxJKhUO4gD5EoQ7avG0vAcuimxdOBA5LjS0vjzaa9FtdeqZHlM0AXFd3sKYv9+9XCnTonNJ0CC7vP5sGLFisaNJa8XqKxUj0umibv2pM3nqISUlliijMBYIqMwlgTWkEffgLR3gmZaLGmvMdu2lXtpj0d7LapdDpnCyPhhgi4oNtkShFEJugl3N10uF0aMGNG4sVRRIb9OJVwyJ+KSEvVwZSVw8mTDy0WGSkssUUZgLJFRGEsC+89/1MOJtj4M0SboejXNBjItllK9xtTWsldVAadPG1EiagA2cSdKFwvXoANAXV1d467g66/Vw7m5QEFB4vNfeCEgSepxe/c2vFxkuEaPJcoYjCUyCmNJUN98ox7u2jW5+bt0UQ/v3t2w8iTAlFgyKkEHGv0mBqUXE3RBscmWIIw6eB4+DJw9a0SJEubz+bB27drGjaWvvlIPX3xxZMIdS9OmkbXoe/Y0vFxkqLTEEmUExhIZhbEkqGAwMkHXJtzxdO+uHtZWBhjMtFhK9RqzWbPI5/TZzN10bOJOlA51dcDRo+pxiXTeAQAXXKAeDgbteXdTL0FPlvbEvWtX6uUhIiIi8xw6BJw5ox6XbA269lrim28AO96ISTVB15vWjteYGYwJOlE0qfauCeg39dY+k2UHW7aohy+5JPllXH65evhf/0q9PERERGSejRvVw61aJfd2FyAyQfd4gC+/bFCxhNSQBF17PcoadFthgk4UjfZgV1AAtGiR+PwXXqgetluCXlMDbN+uHte3b/LLGThQPbxpE1Bfn3q5iIiIyBzr16uH+/ePfK95PAUFka3rNmxoWLlEc+qU3LlbuIbUoDNBtxUm6ETRNOTOJhCZoGubg1vdpk3qHtybNAF6905+OQMGqJ9br6sDPvus4eUjIiKi9NK2ghswILXl9O8fe7lWp9ffjrZPnljYxN3WmKATRaPtlCTR5u0hl12mHv7ii4aVRzTau9l9+sidviUrPz/yu/r449TLRUREROl38iSwY4d6nDbRTpQ2sf/XvyJf62pl5eXq4QsvlDt/S5Q2Qf/qKyAQaGipSBBM0Imi0dbiXnFFcvNrp9++Pe0nl0Z9p6f2bnaqJ2EAGDRIPcwEXTh81zAZhbFERmEsCWbzZvV1TlYWcOWVqS1Le01x+HCjPiqY9ljSJui9eiU3v/Ya8+RJvgXHRpigCyorK8vsImQ2rxfYtk097uqrk1tGz57q4ZMn01qLnpWVhZEjRzZOLHk8kR3ENSRB1z6H/skn9uyx1aIaNZYoozCWyCiMJQFpO4i76qrUWtYBwEUXRb5KrJGauZsSS598oh5OthKoqAho3149bvPmhpWJGsTI+GGCLqgAm6mY65NP5GehwyX7fHWHDpHPoS9f3rByJSEQCODo0aONE0tbt6rf6y5JQL9+qS9Pm6CfPg18/nnqyyNDNWosUUZhLJFRGEsC0iboDbkukKS0PYee9lj6/nv5OipcKpUcffqoh9N4jUmRjIwfJuiC4gnHZO+/rx6+8srI16bFI0nADTfEXm4jCgQC2LFjR+PEkvYk2aMHkJeX+vIKCyNfq8Jm7sJo1FiijMJYIqMwlgTj9wOffqoe15AEHYh8Dr2RenJPeyxpE+mWLVNL0K+/PnK52solShsm6BmAz1WZ7L331MPaRDtR2vk2bwaOHk1tWUlyuVwYOnRo48SS9iSZai+t4fgcurAaNZYoozCWyCiMJcHs2iU/yhculVevhtMmrbt3A5WVDVumjrTHkray5qc/lZ/XT9ZNN6nfgnP6NLBqVYOKRqkzMn6YoAuKd4RN9M038r9wo0altqyBA9XvTg8GgZUrUy9bEgKBAA4cOGB8LHm9kc9ONeT58xBtgr5hg3xHnkzXaLFEGYexREZhLAlGe+O+Uyf5Ub+G6NkTaN5cPW7duoYtU0daY6muDli9Wj0u1Uqgtm0jK0j++c/UlkUNxhr0DOBnYmIe7Z3Ndu1S74XU7QaGD4+9/Ebi9/tRXl5ufCy9/z5w/Lh6nBE16Nrn0E+e5PvQBdFosUQZh7FERmEsCWbRIvVwQ5u3A4DLFbmcv/+94cvVSGssrV0LnDlzftjhiGyqnoyf/Uw9/OGH9nodnYUYGT9M0Im0tM3bR46UD6Cp0t4Z/fBDoL4+9eWZqb4e+P3v1eP69gU6dmz4sjt0kHttDffkkzzREBERiWzp0sjH0saMMWbZN9+sHn7//UbrLC4ttJU0/foBrVunvryf/lQ9/P338uMGZGlM0InCnTgR2Uwr1ebtISNGqIdraxuliVZaLFwY2fx/0iTjlj96tHr4ww+BN94wbvlERERknJMnI68DWreOvPZJ1S23yJ2ohZsyBbDiow2BQGSCnmrz9pBu3YCSEvW4Dz9s2DLJdEzQicItWaJ+7tntBq67rmHLbNs28lUYL73UsGWaIRAAnntOPe7qq4Ff/tK4dTzyiPxIQTgrfldERESZ4M03gaoq9bj/+Z/U33+ulZMDPPWUetwXXwAffGDM8tPp/feBQ4fU4xqaoEtS5KOUixez9aHFMUEnCtmzB3jwQfW4oUMjOyhJxfjx6uFly4C5cxu+3HR6/33gq6/U4x5/HHA6jVtH69bAiy+qx336aeR6iYiIyHzaa5mf/hS47TZj13HffcAll6jHaa8VRHfkCHDvvepxl10WuV2p0DZz//RTYMaMhi+XTMMEnSjk178GamrU4+6/35hl/7//B7RqFbns774zZvmN7fvvgWnT1ON69DCuCVu4n/1MbnUQbupUwOczfl1ERESUmsWLI999ft996ld/GcHlAn77W/W4Dz+M7JhOZJMny0l6uAceMOa7uuEGoLhYPe6xx4BNmxq+bDIFE3RBSUYf3Ci2Vasin9kZMcK4BDQ3F3jlFfW4ujr5ANpIJElCmzZtGh5Le/fKTfS//lo9/ne/a1jnedG4XMDtt6vHrVolv4ZN+45VSgvDYokyHmOJjMJYMtmf/xzZgVthYWRtrlHGj4/sTO2WWwx5DK7RY+njjyNffzZ8uHEtDdxu4C9/UY8LBoFHHzVm+ZQQI+NHCgb5kIJITp48iZYtW6Kmpga5ublmFyczfPed3BN5eG12+/Zys2ptxyQNdffdwN/+dn5YkoAXXpBr041sKm6U+nrgmmuAbdvU4y++WH4GLCurcda7Z4/c7Etbaz5pEjBzZuOsk4iIiOL79FP5uknrv/878nlxIz33XOSbZBwOuVd3vfKIYPt24Oc/B/btOz+uoEDuab1NG2PX9Yc/yPsg3CuvAPfcY3yrBopgZA7HGnRB8b2eafLmm3IPmNqm5k89ZXxyDgDPPit3eBISDMrNt3/2M8Nfveb3+/H111+nFkvBoPzalB49IpPz9u2Bt99uvOQcALp0AZ5/PnL8K68Av/qV3OSe0qZBsUQUhrFERmEsmcDvlysZ9JLhPn2Ahx9u3PU/+GBkrX0gILew+/3vU25l12ix9MYbwFVXqZNzAJg+3fjkHAAeeggoKlKPmzQJuPVWwOMxfn2kwvegEzWU3y8fOMePB86cUf+tRw/5mfHGUFgIPPFE5Pj33pPft75ypboX+Qaqq6tLfqaKCvkZsl/8Qq7JDnfxxfLd4O7djSlgLL/5jdwkzOVSj58/X65d37y58ctAipRiiUgHY4mMwlhKo7Nn5bfa3H135N9uv11uxp2d3bhlcDrlihVtLbrXK9eu9+sn16ancB1laCzt3St3onvHHZEtAS+/HJg40bh1hXO75ccPtd56S76xUVvbOOslw7GJu2DYxD0Nli2TE9CKisi/tWgBrFkT+Vo0IwWDcpP2aE21e/WSXzc2aFDj3GHVc+qU3JnIM8/IJ1k9TZrISXHPnukpU8jTT8snOj1XXAHceafcwR+bbxERERlrxw656fRbb+n/vVs3+cZ9kybpK5PPBwwZIifjetq2lStDbrkFyMtLz/VBfT3w2WfyDYSXX9Z/T3uXLnKfOqWljVcOrxcYNiz6tdz998vPq6dzf2UII3M4JugG+eabb/Dcc89hzZo1OHz4MHJyctCrVy9MnDgRN2ub48QQ2rnHjh1DXl5eI5Y4wxw8CPzpT/J7M7VNjUKuu07ubKRr1/SU6b335GZHp0/r/z30bstrrwUuukhO2PPzE1683+/H9u3bcfnll8Opfb79wAH5xPbdd8Dy5cCGDbEX1r49MG9e5Ls208HjkVsXrFkTfZpWreTv5847gdGj01a0TBEzloiSwFgiozCWGtHBg/IN+3//G/j88+jTtWwpJ5xXX52+soVUV8udrMV7H3rHjvK1wQUXyP9+9KOId7SnFEt+v/wI4MaNcie6S5YAlZXRp7/nHrnPocZuZQDIrR3+8he5ckOvNYEkyT2/T5rUOG/jyVDHjx9Hfn4+E3RRrFixAmPGjMHZs2d1/37HHXdg7ty5CfXuF0rQq6qq0FrbWyUl5vvvgZ075eRzyRL5BHP0aOx5Bg8GVq9Of0dta9fKnYecOBF/WkmSm8i3bi3fRCgslHuHb9ZMfh48GJTvKp/756+vx/69e3FBYSEcp0/LJ7Mvv5Sf0Uq0KZfTCfz1r3KTNre7QZvaIF4vMGeO/PzZqVPxp7/4Ynmf9u0r31zo10/+niglXq8XK1aswIgRI5DVmH0PkO0xlsgojCUDBIPydcHOncC338rJ9tatiTWFnjhRfhNNSUnjlzOWrVvlyg7tI3nRZGXJrSWLiuTH9Zo0gb95c+w7fhyde/aEM3St4PPJFSjaf4cPy50IHz+eeBl//Wv5WirdLf3mzAHuuiv2NFlZwKWXAjfdJHcK3KaN3FKyMd7SY3PV1dUoKChggi6CiooKXHrppag59/7sSy65BOPGjcOuXbvw5ptvKtP93//9H+5P4J3aTNCj8PnkZLGmBti9W75ru3u33PQqKwsoL5c/19cD33wjn3QS4XTKzwi98IK687Z0+uEH+SD6979HvsrMLE2aAD/+sdxEbNAgs0tzXnW1fNdX+97VRLRuLZ94rr5aPjm3bi1/9vnkz9dcI++L/Hz576TghTAZhbFERmEsReHzyRUV+flyRcWOHfIN6r175WsMSZKT8q++khPxZDsPy8mRm3GLVPNaXS3fLHjnHfk8LoLQK2PvvBPo39+8cvz973LHx9Faj+pp317uab6gQK7scLnk66QBA+RKnjZtgAsvlGvnnU4+YngOE3SBTJs2DX/6058AADk5Odi/fz/yzzVD/uUvf4kFCxYAAIqKinDgwIG4TWdMSdBDISBJck1l6Md2+rRca+pwyAe/nBx52spKuea2ulpOmJs2lZvTnD4tfz5zRp6/dWv5hOByyQnPvn3y8po2lU8SDoecXO/ff74jsP/8Rx5XXy9P36yZvLyvv5bnq6/Xf64nWZIETJsmN+ES5S6h1ys/lz53rry9UVpkNKrSUmDCBPm7SUczrFT4/fI76+fNk3uaNyIewjkccg38kSPyBc5ll8n9FRQUyM+P7d8vN6lv316+g15QIMd6dbX83FvLlvLn9u3l+K2uBjp0kG96HDsmN7eTJLnVRHGxXP6aGrkWor5ePvldcMH5u/XFxfJF1Nmz8nJqa+ULsPx8+e+SBDRvLv/d4ZDX4/XKn51OefmS1KATKC+EySiMJTKKYbEUfoz0eM4/m3v6tHxsDQbl43WrVvKx99gx+bjv8QBVVUC7dnLLrupquVa2ulqevmNH+TxSWyufD77/Xm691qaN/NnjOZ9EBwLyuePgwfPH9NC1Ueg6ye2Wp9u/Xz4/ezzyNVOLFvLnr76SP5861TidgXXvLj+LPnBg+vrHScXKlXLlwmefmbP+yy6TW+3dd5/cIZwoPvlEfmNQrGb4yQjFWuvWcj8EVVVynJeWyusoKpKvpQA5jtu2la9NsrLkeTwe+bq+ZUv5c3b2+Vhu1ux8jDdvLv8mPR45D3E6z0/jdJ5fpgA3CZigC+Tiiy/G1+dqPUeNGoVly5Ypf3v77bcxZswYZXjz5s3oE6fzsVCCfqJbN7T0++UTgscjnyhatpQP7nV18vjTp+WL8lat5IOx1ytPU1Mjn0RatZITiEBATqiPH5dPNDk58g/J6ZQDv6pKDu7sbPmk4nLJ/0IX/IDxSZBZhgyRm5QPHSr3BC6q06eBxYvlZ6u+/15upm90b7X5+XIna+3aAddfLx+4rVZzvHu33Kv7unVyJ3d2idNENGly/tV8oROlJMkd4hw/Lv++8/Pl37fbLY//4Qf595+bK184tmwpfz58WP578+by5/x8+cT5ww9AQQGCTifqDx9Gkw4d5Ed1QjcjfD75eNO2rXy8OHXq/MVqXZ38uaZGPja1bSuXy++XH8+orpbL3qaNfDJ3OuWT9tGj8raFypudLR/LjhyRy5eTc347mjWTP7dsKZe3slKeNitL3u68PPkYduyYvE2hC+2CArlMtbXy57Nn5RuBBQXnj6tt2sg3S7xeefyJE3J8tW4tL0+Szn+/Lpe83qoquewtW8plcbvlclZWymVv3lzevhYt5O0K3ex0u+V5W7aUv4djx+SyA/J68/LkdZ88Ka+zvv78hdHZs/J3HbphU18vjz958vyNnJoaef78fHkfSJJc3mPH5LKHbrg2aXL+/NC0qVzOUNmbNZM/t2gh/62qSp4vK0uet2VL+bs+flwubzAorzcvTy5HbS2Qn4+Ax4PqgwfR+qKL4PB45PLn58vbo1f20OM/ofOZw3H+JpjLJX8OxXjou87OlsscKnt2tjxNixbnv+vcXHn+6mp52aE4CS97fv75OMnPP38ubt1a/t/jkT/X1p4vuzZOAHmZoXNuXp5crlCc/PCD/H3m5Mix0ayZOk5CcZ2bK88TinGnU15mqF+SUIz7/edj3OM5H+Nnzsj/2rQ5f8OvTRt5Wq9X/lxdLZe9oEBeT+hG+9Gj8ncV+k2Gyn7kiPzdho4hLVrIZf/+e3lcdrY8Teg3eeSIvDyHQ15m69byd11VJR8T6uvlfVxYKJf15Mnzx5DTp+XPx4/LZW/XDsHKSnhOnYK7pATSDz/Iy2rdWi6jwyF/H4cPy+tu1UouV+i7/v57ubzNmsmfc3Lk7aquPn/hX1t7/tEuj0f+DgKB8wl9Jlw+d+ggN30eOlS+dhIgCUpYXZ38jPgbb8itCI4fl5vyG32d0KUL0Lu33FfQmDHydZWoamuBd9+VWyHOnRv5FiMrcTjO70u3W/49er3ysScQkI8nubnnH/1s2VL+u9cr/9ZPnJCXkZcnH2NC55OamvPnwhMn5GNG8+bnKySbNZPHN2smD588qdxEqKmpQasDB5igm83j8SA7Oxuhr3Dq1Kl44YUXlL+Xl5ejV69eyvCrr76Ku/VeTxFG6QEQAPtwN0BJifxqiUsvld9FedllZpcoNR6PfGKpqpLvtu/dKx8UTp6UL1bq6+UDTejmisuFgMOBg99/j+KuXeEMJTAXXyx/Jzk58klF+wozKztyRO7wbv9+YP16ueM7Ht6IiIgSc8EFcse0V14pP4d8zTXWSsrjOXEC2LVLvm7as0e+XggG4T9xAkd27ED7li3hCN34djrlJCx04yn0Lzf3/LVUmzbyzWcrOn4cKCuTrymXLeM1kwFOAmgJGJKg2+jqPP2OHz+O8Psb2p2Ro3mmuaqqKmIZHo8HnrDnf0LPsp80sqA2FuzWDQgEEGzZEtKAAZDcbvjatoXzppuAZs3gczjUJ5dQrR0A17nk1OfzISsrC4FAAP4o786UJAkulwuBQACBQAAulwt+vx+BKHdiHQ4HnE6nsjyn0wmfz4do98OcTiccDgd8Ph8cDgccDge8Xq96otJS+d9VV6nKHv45nNfrxaa1a9F0yBA0a9ZMVfZAIAD/uViLtq3hZU9kW8PLnsi2er3eqGUPl/B+ysqC9LOfydv3wAMI1NfD5XbD/+mncu362bOQ9u+H9NVX8kmoogJSqIaLiIjIxoJZWUDnzgi63UCbNpB69ABatoS/Qwc4b7gBcLsRcSYOO0eGzr+q64g410zCXUf4/cjq0UMue1hNt9frxfq1azFkyBA0adIkueu948eNv97TK3uM671wSe2nYcPk7bvzTqC+Hs4mTeBfvVrueE+SIO3YAWnXLvnGxN69kIxuyWkzodzNiLpvJugNoN0B8Yb1enGfMWMGpk+fHjG+2IDyZYTdu89//ve/z3/+r/9Kf1mIiIiIROT1qjuiXb3avLIQ2Vh1dTVatmzZoGUwQW+A/Px8SJKkJOK1mk45Tp48GTG91sMPP4zf/va3yvCJEydQWlqKgwcPNnjnUmY7efIkiouLcejQoQY3taHMxlgiozCWyCiMJTIKY4mMUFNTg5KSEt18L1lM0BvA7Xaja9eu2H2uFnef5hUG2uHLdXpzdLvdcOu8X7ply5Y8SJAhcnNzGUtkCMYSGYWxREZhLJFRGEtkBIcBb4cS5P1S1jVq1Cjl87p161Ad9ozzokWLlM8dOnRA796901o2IiIiIiIisg4m6A00depUpTO4U6dOYeDAgXj66acxbtw4LFmyRJlu2rRpcd+BTkRERERERJmLTdwbqGPHjnjjjTcwduxYeDwe7Nq1C48//rhqmttuuw1TpkxJaHlutxtPPPGEbrN3omQwlsgojCUyCmOJjMJYIqMwlsgIRsYR34NukK+//hrPPfcc1qxZgx9++AHNmzdHr169MHHiRIwbN87s4hEREREREZHgmKATERERERERCYDPoBMREREREREJgAk6ERERERERkQCYoAvkm2++wV133YVOnTrB7XajoKAAw4YNU72ujWjx4sWYNGkSevfuDbfbDUmSlH/R+P1+zJo1C/3790deXh6ys7PRpUsXTJ06FYcPH05j6UkUFRUVePnll3HzzTejR48eKCgoQJMmTdC2bVuMGDEC77zzju58jCXSOnv2LB555BEMHz4cnTp1Qk5ODrKyslBQUIAf//jHmDFjBk6ePBkxH2OJ4vH5fLjqqqtU57kJEyZETMdYIq3wmIn277vvvlPNwziiWLZt24Y777wTnTt3RnZ2NnJzc3HRRRdh3LhxKCsrU03b4FgKkhCWL18ebNq0aRCA7r877rgjGAgEzC4mCeCKK66IGid66urqgsOHD486T35+fvCzzz5L81aQ2WbMmBE1JkL/7r33XtU8jCXSU1lZGTeWunbtGjx27JgyD2OJEvHUU0/pXg+FYyyRnnjHJADBQ4cOKdMzjiiWJ598MihJUtT4uOuuu5RpjYglvmZNABUVFRg/fjzOnj0LALjkkkswbtw47Nq1C2+++SYA4PXXX8fVV1+N+++/38yikgAkSULnzp3Ru3dvHDlyBB9//HHM6R977DHlzp7T6cSdd96J9u3bY968eTh48CCOHTuGsWPHYseOHWjevHk6NoEE0rFjR4wYMQIlJSXYvXs3Fi5cCJ/PBwCYNWsWfvGLX+C6664DwFii6IqKitCvXz+UlpYiPz8fVVVVWLp0KQ4cOABAbiE2e/ZsTJs2DQBjieLbvn07nn766bjTMZYolry8PDzyyCO6f2vVqpXymXFE0cycORNPPvmkMty3b1/069cP+fn5OHbsGL766isUFBQofzcklhr7jgPF97vf/U65q5KTkxOsrq5W/jZ+/Hjlb0VFRUGfz2diSUkEZ86cUT4/8cQTMWvQjx07pmqZ8cgjjyh/+/rrr1V3A2fOnJmW8pMYFixYEFywYEHEMWX+/PmqmPrtb38bDAYZS5S8iooKVSxNmjQpGAwylii++vr6YM+ePYMAgr179w4WFRXp1qAzliia0H4vLS2NOy3jiKKpqakJ5ubmKvv/lVdeiTm9UbHEZ9AFsGzZMuXz4MGDkZ+frwyPGTNG+VxRUYGtW7emtWwknuzs7ISnLSsrU1pmAOp46tatG3r06KEMh8ch2d+tt96KW2+9FU6nUzX+pptuUg3X19cDYCxR4vx+PyoqKjBr1izV+EsvvRQAY4nie+aZZ1BeXg63243XX38dLpd+g0/GEsVz5MgRFBcXIysrC3l5eRgwYABmzpyptBQDGEcU3dKlS5U+VIqLi3Hq1ClcccUVaN68OQoKCnDTTTdh8+bNyvRGxRITdJN5PB7s3r1bGb7wwgtVf9cOb9++PS3lInvQxkus+GJsEQDV8QgArr76agCMJYpv3bp1kCQJLpcLHTt2xFNPPaX8beDAgbj77rsBMJYotvLycjz77LMAgKeeegqXXHJJ1GkZSxSPx+PBd999B5/PhxMnTuBf//oX7rvvPlx77bWoq6sDwDii6DZu3Kh8PnToEB588EFs374dZ86cQXV1Nd599130799f6dDbqFhigm6y48ePIxgMKsO5ubmqv+fk5KiGq6qq0lIusofq6mrVcKz4YmzR6dOncd999ynDXbt2xc033wyAsUSpGz9+PJYvX46mTZsCYCxRdF6vFxMmTIDX68U111yDBx54IOb0jCWK5fLLL8c999yDp556Cvfdd5/qmfP169fjiSeeAMA4oui0Pa673W5MmTIFDz30EFq2bAlAftvE3XffjerqasNiiZ3EmSw8OU9kONartIi0kokvxlZmq6ysxOjRo7FlyxYAQNu2bfHee+8pSRVjieLp3Lkznn/+eXg8Hhw4cABvv/02qqursWDBAnz++ef44IMPUFpayliiqJ5++ml88cUXaNq0KebNmxfxCI4WY4mi+eqrr9C9e3fVuEcffRQ9e/ZEZWUlAGDevHl47rnnGEcUVegxv5Dnn38ev/71rwEAAwYMwOjRowEAtbW1WLZsmWGxxBp0k+Xn56t2UG1trerv2nfHhj+fThRP69atVcOx4ouxlbn27NmDvn374tNPPwUgP2e1bt06dO3aVZmGsUTxFBcX48EHH8Sjjz6K2bNnY9euXWjfvj0A4Ouvv8ZvfvMbAIwl0nfo0CHMmDEDgPwMerdu3eLOw1iiaLTJOQB06NBB9UxwZWUlqqqqGEcUVXirC0DuKyxk0KBBqr/t27fPsFhigm4yt9utugjet2+f6u/a4csvvzwt5SJ70MZLrPhibGWmTz75BH379lVioWfPnti0aVPExQ1jiZJVWFiIa665Rhlet24dAMYS6auurlY67nrggQcgSZLyL/S6PkB+7awkSZgwYQJjiZKmrdF0OByMI4oqvFM3LW0NeNOmTQ2LJSboAhg1apTyed26darnF0KdDgDynb/evXuntWxkbcOHD4fb7VaGlyxZonzeuXMndu3apQyHmulQ5li8eDGuu+465ZgzYsQIbNiwAUVFRRHTMpYomlWrVilNRsNVVVWpercNXcwwlsgojCXS8+qrr2L58uURyfj333+Pt99+Wxlu37498vPzGUcU1Q033KAa/vjjj3U/A0Dv3r0NiyU+gy6AqVOnYtasWaitrcWpU6cwcOBAjBs3Djt37lTt2GnTpsV9Hovsb+bMmcoduPDeJQHgwQcfVD4/+uijyM/Px+TJk/HCCy8AkJ+dOXbsGNq1a4c5c+Yo05aUlOD2229v/MKTMBYvXoxbbrlFuYApLCzEwIED8corr6imKy4uxi233MJYoqheeuklrFy5EsOHD8cVV1yBZs2aoaKiAkuXLsUPP/ygTBe60GEskZ5WrVqpmh+HW7lyJc6cOQMAKC0tRe/evXH11VczlkjXzp07cc899+DCCy/E8OHDUVxcjIqKCixcuBDHjx9Xpps8eTIkSWIcUVRXXnklrr/+eqxcuRIA8NBDD2HPnj1o2rQpXn31VWW67t27Y9iwYXA6ncbEUrIvbKfGsWzZsqDb7VZeXq/9d9tttwX9fr/ZxSQBDBo0KGqchP/79ttvg8FgMHjmzJngtddeG3W6Vq1aBTdv3mzuRlHaPfHEEwnF0aBBg5R5GEuk58Ybb4wbRz179gwePXpUmYexRMkoLS1VYuOOO+5Q/Y2xRFpTp06Ne0y6+eabg16vV5mHcUTRHDlyJHjppZdGjY127doFd+zYoUxvRCyxibsgRo0ahfLyckyYMAHFxcVo0qQJ8vLyMHToUCxcuBDz58+Hw8HdRcnLzs7GBx98gJkzZ6Jv377Izc2F2+1G586dMWXKFOzYsQN9+vQxu5hkAYwl0nP//ffj3nvvRc+ePVFYWAiXy4WmTZuitLQUo0aNwpw5c7Blyxa0adNGmYexREZhLJHWww8/jNmzZ+PGG29E165d0bJlS2RlZaF9+/YYNWoU3n77bbz11ltwuc43JGYcUTRt27bF5s2b8Yc//AFXXHEFmjdvjqZNm6J79+546KGH8MUXX+DSSy9VpjcilqRgUPOABhERERERERGlHatkiYiIiIiIiATABJ2IiIiIiIhIAEzQiYiIiIiIiATABJ2IiIiIiIhIAEzQiYiIiIiIiATABJ2IiIiIiIhIAEzQiYiIiIiIiATABJ2IiIiIiIhIAEzQiYiIiIiIiATABJ2IiIioEUycOBGSJCn/nn32WbOLlJT9+/cjKytLKX9hYSFqamrMLhYRka0xQSciImE9+eSTqgQn0X+/+c1vzC46Zbjy8nLMmTNHGc7NzcX9998fMZ1ejA8ePDjmsidMmBAxz4QJEwzeAqBTp0649dZbleHKyko89dRThq+HiIjOY4JOREREZLBHH30UgUBAGZ48eTJatmxpYolSM23aNEiSpAy/9NJL+O6770wsERGRvTFBJyIiIjLQ1q1bsWLFCmXY4XDg17/+tYklSt2ll16K6667Thn2eDz405/+ZGKJiIjszWV2AYiIiJJRVFSEX/ziFzGnGTRoUJpKQxTphRdeUA0PHDgQRUVF5hTGAOPGjcOqVauU4blz5+Lpp5+2ZIsAIiLRMUEnIiJLueiiiyISICJRnDhxAosXL1aNC3+O24p+/vOfY/LkyaivrwcAnDp1CgsXLsSkSZNMLhkRkf2wiTsREdmaXidc8+bNAwAsWLAAw4YNQ9u2beF0OqN2zvXpp59iypQp6NmzJwoKCtCkSRMUFhaiX79+mD59On744YeEyrJp0ybcfPPNaN++PZo2bYrS0lJMmDAB27dvB6Df+de6detUy1i3bl3CHYR16tQpYtpYamtr8b//+78YNWoUSkpK0Lx5czRv3hwXXnghfvnLX+L999+POf+8efMi1vfkk08CALZs2YLbbrsNxcXFcLvdaNu2LcaMGYPPPvssoe/u0KFDeOqpp3DdddehqKgIzZo1Q4sWLXDRRRdh+PDheO655/DVV18BAE6fPo28vDxVObp06YJgMKi7bJ/Ph9atW6umLykpUT1Dnqh33nkHHo9HNe6mm25KejkNpRcnifzT06pVq4jfxptvvpmGrSAiyjysQScioozj8/nw85//HO+8807M6aqqqvD//t//001MKysrUVlZiU2bNuH555/HCy+8gLvvvjvqsv74xz9GdBx28OBBvP7661iwYAH+7//+L/UNMsDChQtx33334cSJExF/+/bbb/Htt99iwYIFGDhwIBYtWoS2bdsmvOxHH30Uf/zjH1XbfvToUbz99ttYtmwZFi5cGPWxhfr6ejz88MN48cUX4fP5Iv6+b98+7Nu3D6tWrcKmTZvwz3/+E82bN8eECRNULS327t2L9evX6z7+sGbNGhw7dkw17vbbb4fDkXw9xkcffaQavvDCC1FYWJj0ckRzzTXXoKysTBnetGkT6urqkJ2dbWKpiIjshzXoRESUcaZPn55Qct63b9+4tcaAXGM7ceJE/M///I/u3//+97/j4Ycfjloj6/V6MWnSpIja8nR54YUXMH78eN3kXGv9+vXo27cvqqurE1r2zJkz8eyzz0bddp/Ph7vuuguVlZURf/N6vRgxYgT+8pe/6Cbnsdx3330RNcJ/+9vfdKddsmRJxLhf/epXSa0v5OOPP1YNX3311SktRzR9+vRRDdfX1+PTTz81qTRERPbFGnQiIrKUvXv3xn3P+YwZM2LW7IVeE9WmTRsMGzYMzZs3xzfffAOn06lMM2HCBOzdu1c1X/PmzTF8+HAUFhZi9+7dEQn17373OwwaNAhXXnmlMu7EiROYOnVqRBmaNWuGkSNHIj8/Hx9//DG+/vprHDhwIOZ2NYbNmzfjgQceiBh/xRVX4Morr4TH48GaNWtUzfi//fZb3HPPPVi6dGnc5R89ehQAcPHFF2PgwIH4z3/+o+pwDABOnjyJ+fPn47e//a1q/O9//3usWbMmYpk5OTkYOnQoioqKcPLkSWzZsgXffPONapouXbpg2LBhqlrfJUuW4H//939VnZv5/X68++67qnmvueYadOvWLe62aVVUVODQoUOqcT179kx6OfFifMuWLXGX0bFjR924C3nzzTcjHs0oKSmJOn2vXr0ixm3atAlDhgyJWxYiIkpCkIiISFBPPPFEEEDS/44fPx53GaNGjQrW1taq1hca/vTTTyOmv+KKK4KVlZWq6d9+++2gJEmq6W666SbVNH/9618jlpWfnx/86quvlGl8Pl/wtttu0y3n2rVrVctbu3ZtxDR33HGH7vdXWloaMa3WT3/604hpZs+eHfG99O/fP2K6bdu2qaabO3eu7jb86le/Cvp8PmW6Bx98MGKaG2+8UbWsioqKYJMmTSKmGz16tGr/hnzyySfB5557TjXu3XffjZh/5syZqmlWr14dMc3LL7+s+33Gs2XLlohlvfbaazHnSTXGE40BPS+88ELE/Hl5ecFdu3ZFnae+vj5invvvvz/hdRIRUWLYxJ2IiDJOXl4e/v73v6NFixaq8f9/e3caEtX3xgH8a9bMpOY0paaWPy2obLGSGJdEWqxsysqymChcyhZSESuLTIw2KspWpF4IUdEibYJCWQhWIhVulUlFSNmuZKKGUab+X4iDd+4dZ8Zx/rZ8P+CL88zcc8/lKnjuee5zOttSK8NHjx6Fk5OTILZkyRJRCvPNmzfR3Nysa+fl5Yn6Sk5Ohre3t65ta2uLkydPQi6Xm38xFmhsbER+fr4gFhwcjHXr1gliDg4O2LFjh+h4U1bQFQoF0tPTBdkJGzZsEH3vzZs3gnZOTo6uangnLy8vZGVlYfDgwaLjp02bhm3btgliYWFh8PLyEsT009z109vlcjlWrFhh6HK61Zkt0NWQIUN61Je1XLlyBZs2bRLEFAoFcnNzMW7cOIPHDRgwAIMGDRLEpK6XiIgswwk6ERH9c8LDwyUneZ0ePXokioWEhEhWvdZPN/758yfKysp07SdPnoj6Cg0NFcVUKpXoPV9rKy0tFb3bXVhYKHmd8+fPFx3/4MEDo+eYM2cOnJ2dBTE3NzfR9xobGwVtqXsQFRVlVlGyfv36ibYCKykp0VXNb2trE9UiWLhwIVQqlcnn6ErqHX79SW1fKigoQGRkpKCafb9+/XDp0iUEBQUZPd7R0VHQNqVmARERmYcTdCIi+qNMnz4d7e3t3f50N/kGgEmTJnX7uVTBMnN0fbdXqpjaiBEjJI8zFLeW3rxOQzw9PUUxhUIhiukXkZPqu2vWgaliY2NFmQlnzpwB0PEwQv880dHRZp+jk9Tvnf6DB1MY+x3vyRifPHmC8PBwUVZCRkYGlixZYlIfDQ0NgraxvzMiIjIfJ+hERPTP6VokzBq+ffvW7eeG9ptuN7BPtzGGKqTrbx3W24xdJwAMHTpUFOua7m4OY/u4S3FycoJWqxXELly4gB8/fojS211cXDBv3rweja3zXPqsfQ9MUV1dDY1GI3pYkJqaio0bN5rUR0tLi+h+62dGEBGR5VjFnYiI/jnGJnouLi54/vy5ILZ27VrY29ub1H/Xd3mHDh2Kjx8/Cj5/9+6d5OTmw4cPRvuW2pv7+/fvotjXr1/R1NTUbV9S+3NPnDgRISEhRscBWPf9aqmx6d8TU8XHx+P8+fO6dl1dHbKzs3Hjxg3B91auXIn+/Xv+r5G7u7soZmmWgqXq6uoQGhqKT58+CeIxMTHYt2+fyf1IvW8udb1ERGQZTtCJiIj0qNVq0X7Wc+fOxfLly40e29raKlghnjJlimiCfufOHcFWbEDH+7ymbJ+lX9gOkJ7YX7582Whfvr6+sLW1RWtrqy7W3t6OY8eOmbRa3fW43ubv749z584JYp37yUulyHfHz88ParUaxcXFutjWrVtF98WS9HYA8PDwwPDhwwX34/Hjxxb1aYnv378jLCwML1++FMQ1Gg0yMzPN6qu8vFwUCwwMtGh8REQkxhR3IiIiPUuXLhXFEhISUFJSIvn9lpYWFBQUYP369QgPDxd8ptFoRN9PT08X7Nvd1taGpKQk/Pjxw+jYRo4cKYoVFxcLxvb27VscOHDAaF9KpVK0Wl5ZWYnExETJVXmgYw/5U6dOYerUqSgsLDR6jp5atGgRZDKZIPbmzRtotVrJ4mSlpaU4dOiQwf7i4+MF7ffv3wvakyZN6tGe5fqCg4MF7a4PBf6fWltbodVq8fDhQ0FcrVbj6tWrZmcK6Bftk8lknKATEVkBV9CJiIj0BAYGQqPR4NatW7pYbW0t1Go11Go1xo4dC6VSiYaGBlRVVaGiokL3fu706dMFfUVGRiItLU0wqayrq4Ovry/CwsKgUqlw//59k9O3VSoVfHx8UFFRoYv9+vULs2bNQkREBFpaWpCbm2tycbLdu3cjPz9f8B57RkYGLl68iODgYLi7u+PXr1+ora1FZWUlqqqqTOrXUsOHD0d8fDyOHTsmiOfk5MDT0xMhISFwd3dHU1MTysrK8OzZMyxevNhgf1qtFlu2bJEs2gd0VIjvDTNnzkRWVpau/fr1a9TW1kqm7FvTnj17kJubK4qPHj0aqampBo87fvy4ZFx/gh4QEGBWRX0iIjINJ+hEREQSzp07h8DAQNGEtLi42KxVUaVSiRMnTojSp5ubm3HlyhVdu3///hg1apRgZd2QhIQE0V7iTU1NOHv2rK49cOBA2NjYCPZklxIQEID09HRs3rxZEK+vr0dOTo7RsVjTwYMHUV5ejrt37wrijY2Nou3RjFEoFIiNjZVcZbe1tcWqVassGapOREQEEhIS0NLSootlZ2dL7v1uTdXV1ZLxS5cudXuc1AS9vr5edA96ulc8ERF1jynuREREEpydnfHw4UNRynp37OzsRCnOQMfq7P79+w2+1y2Xy3HmzBmTU4bXrVvX7dZYTk5OuH37tslVtjdt2oSsrCzJiuuG+Pj4WL1ImEwmQ15eHhITE3tc+b2rjRs3ShbZCw0Nhaurq8X9Ax1FAfVfkei6ov4nun79uuCBg729PSfoRERWwgk6ERGRAU5OTsjOzkZ5eTk2b94Mf39/uLi4QCaTQaFQwNXVFUFBQYiLi8P169dRU1ODvXv3SvaVkpKCoqIiREREYNiwYZDJZPjvv/+wevVqlJaWIjIy0uRx2djY4OrVqzh9+jT8/Pzg4OAAOzs7jB8/HikpKXjx4oXkg4LuaLVavH37FpmZmVi2bBlGjhyJQYMGwdbWFo6OjvD29kZ4eDgOHz6Mp0+f4unTpxgzZoxZ5+gJuVyOEydOoKqqCrt27cLMmTPh5uYGhUIBe3t7jBo1CrNnz8aBAweMvnfv5eWFBQsWiOKWFofTp5+NcP/+fVFBuj+J/gOGmJgYqFSqPhoNEdHfzaa9p5uuEhERUa+KiYkRVS4vKCjAjBkz+mZAf6Hk5GQcOXJE11Yqlfj8+bPZleGN0Wg0yMvL07W3b99uUuG+301lZSV8fHzQ+e+iXC7Hq1ev4OHh0ccjIyL6O3EFnYiIiP4JNTU1ogcgK1eu7PXJOQDs379fkE5/6tQpNDQ09Pp5rO3gwYPoupYTFxfHyTkRkRVxgk5ERER/rYyMDCQlJSEqKgo+Pj748uWL7jMbGxvR9mu9xdfXF2vWrNG1GxsbkZGRYZVzWUt1dbUgvd3Z2Rk7d+7swxEREf39WMWdiIiI/lrXrl3DvXv3JD+Ljo7GhAkTrHbuzMxMZGZmWq1/a/P09BQUhyMiIuvjCjoRERH9cyZPnmxwz28iIqK+wgk6ERER/RPkcjnGjRuHtLQ0FBUVQalU9vWQiIiIBFjFnYiIiIiIiOg3wBV0IiIiIiIiot8AJ+hEREREREREvwFO0ImIiIiIiIh+A/8D0nl6cztPzrcAAAAASUVORK5CYII=", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot.PlotFigureSize = (10,5)\n", "plot.PlotFontSize = 20\n", "plot.PlotXlimt= (0,60)\n", "plot.PlotYlimt= (0,6000)\n", "plot.Plotting_SpanSelector(freq,spectrum,\"Frequency (Hz)\",\"Spectrum\",\"red\")" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.12.7" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }