{ "metadata": { "name": "", "signature": "sha256:c88b7774de743b4f7a301972c36dee5db4103b53cbbb01fd530ebce1fa0f93a5" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Image Registration Tutorial - Basics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we initialise the Python environment to make use of the development version of SimpleITK." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "\n", "import sys\n", "# first you need to run:\n", "# cd simpleitk && tar -zxvf SimpleITK-0.8.0-STRAW-branch-py2.7-linux-x86_64.egg_FILES.tar.gz\n", "sys.path.insert(0,'simpleitk/SimpleITK-0.8.0-STRAW-branch-py2.7-linux-x86_64.egg_FILES')\n", "sys.path.insert(0,'../src')\n", "\n", "import numpy as np\n", "import math as mt\n", "import SimpleITK as sitk\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "from imagedisplay import myshow\n", "from IPython.display import display, clear_output" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Comparing different (dis)similarity measures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next cell is a simple registration experiment for comparing different (dis)similarity measures. Here, we use the same 2D brain image for both the fixed and the moving image. We translate the moving image along the x-axis and record and plot the (dis)similarity values.\n", "\n", "TASK: a) Try out different (dis)similarity measures, b) try out different interpolation methods, c) change the range of translations" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#load images\n", "fixedInputFilename = \"./data/BrainProtonDensitySliceBorder20.png\"\n", "fixedInput = sitk.ReadImage(fixedInputFilename)\n", "\n", "#set fixed and moving to the same image\n", "fixed = sitk.VectorIndexSelectionCast(fixedInput,0,sitk.sitkFloat32)\n", "moving = fixed \n", "\n", " \n", "# the following defines a function that takes two images, an array with 1D translations,\n", "# and a flag defining the (dis)similarity measure\n", "def metric_calc_translation (fixed_img, moving_img, tx_array, metric='SSD'):\n", " \n", " # Define the registration object and properties \n", " # (just to calculate the metric value - we are not going to perform optimization)\n", " R = sitk.ImageRegistrationMethod() \n", " R.SetOptimizerAsRegularStepGradientDescent( maxStep=1e-10, \n", " minStep=1e-11,\n", " numberOfIterations=1 )\n", " \n", " \n", " # Interpolation method\n", " # MAKE A SELECTION HERE\n", " \n", " # Linear interpolation\n", " R.SetInterpolator(sitk.sitkLinear)\n", " \n", " # Nearest neighbor interpolation\n", " #R.SetInterpolator(sitk.sitkNearestNeighbor)\n", " \n", "\n", " if metric == 'SSD':\n", " R.SetMetricAsMeanSquares()\n", " title_str = 'Sum of Squared Differences'\n", " elif metric == 'CC':\n", " R.SetMetricAsNormalizedCorrelation(subtractMean=True)\n", " title_str = 'Correlation Coefficient'\n", " elif metric == 'NMI':\n", " R.SetMetricAsMattesMutualInformation(numberOfHistogramBins=50)\n", " title_str = 'Normalized Mutual Information'\n", " else:\n", " raise RuntimeError('undefined similarity metric')\n", " \n", " cost = []\n", " for tx in tx_array:\n", " \n", " # Create a transformation (translation in x-direction)\n", " t_input=sitk.Transform(fixed.GetDimension(), sitk.sitkTranslation)\n", " t_input.SetParameters( [tx,0] ) # t_input[0]=offset_x t_input[1]=offset_y\n", "\n", " # Run the cost function calculation\n", " R.SetTransform(t_input)\n", " R.Execute(fixed,moving)\n", " \n", " # Collect value\n", " cost.append(R.GetMetricValue())\n", "\n", " # Plot the metric values\n", " fig = plt.figure()\n", " ax = fig.add_subplot(111)\n", " ax.set_title(title_str,fontsize=16) \n", "\n", " ax.set_xlabel('Translation in x direction (in mm)',fontsize=16)\n", " ax.set_ylabel('Cost function',fontsize=16)\n", " ax.plot(tx_arr,cost,'r')\n", " \n", "# CHANGE CODE HERE: Try different a different translation range\n", "tx_arr = np.linspace(-15.0, 15.0, num=100, endpoint=True)\n", "\n", "# Run the experiment\n", "metric_calc_translation (fixed,moving,tx_arr,'SSD')\n", "metric_calc_translation (fixed,moving,tx_arr,'CC')\n", "metric_calc_translation (fixed,moving,tx_arr,'NMI')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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uXHFFmHLajUhBqLJGIulOgttquqS7qKFnlpkdnQd99cZrJHXkjTdC9+Bp06B5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\nSMzsDWBdQltIu0ojErmV0Oj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ffy8qKqLI534IR4sWNpptq1b2+NOfwo7IhW3kSJsfaNo0qFMn7GgKWnFxMcXF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\nrtDVrQsHHmgDQWajCRNsmoA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kPYCX03pnhdCu9e3rU4Y8/zzstFO1c7OsIUN8IskQqqTQS6sFwH5pKyQdLukb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\nr+K9sy5u+9yGUIR8jevRJhL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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Effect of Gaussian smoothing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we explore the effect of Gaussian smoothing on the (dis)similarity values.\n", "\n", "TASK: a) try out different filter kernel sizes, b) try out differernt (dis)similarity measures" ] }, { "cell_type": "code", "collapsed": false, "input": [ "tx_arr = np.linspace(-15.0, 15.0, num=100, endpoint=True)\n", "\n", "# Apply Gaussian smoothing to the fixed and the moving image\n", "moving = sitk.DiscreteGaussian(moving, 2.0)\n", "fixed = sitk.DiscreteGaussian(fixed, 2.0)\n", "\n", "# Re-run the little translation experiments\n", "metric_calc_translation (fixed,moving,tx_arr,metric='SSD')\n", "metric_calc_translation (fixed,moving,tx_arr,metric='CC')\n", "metric_calc_translation (fixed,moving,tx_arr,metric='NMI')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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XhqcWAhXdSjcHvops9hWWeBKXzwvLXaq6dLFB6S65JO5InMud4cPhyy/r7GCM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\nUlJCSUlJpnbtcqVBA5uatVc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93/9Z58phw0CS/pLjXHpKSuD44+GQQ+Dmm6OOpqCFeedyEfAs68YQqw5skuCx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\nJT2He/xxAiuTPA5smMhWlbGMBPssa71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rfV57DU48ESZPhnXXjTsaF7NCtc66HtgpzWNto8edKy033wxPPhkGaHSp/fxz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\nm9mEFI+1AEabWZvo/n7A5Wb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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Effect of Rotation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next cell, we repeat the earlier experiment, but this time the moving image is also rotated.\n", "\n", "TASK: Explore how different rotations impact the (dis)similarity values." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# CHANGE CODE HERE: Try different values for the rotation\n", "angle = 3.14/4\n", "\n", "\n", "# Define display function\n", "def cmyshow(img1,img2,*args, **kw):\n", " simg1 = sitk.Cast(sitk.RescaleIntensity(img1), sitk.sitkUInt8)\n", " simg2 = sitk.Cast(sitk.RescaleIntensity(img2), sitk.sitkUInt8)\n", " cimg = sitk.Compose(simg1, simg2, simg1/2.+simg2/2.)\n", " myshow(cimg,*args, **kw)\n", "\n", " \n", "# Define the warping function\n", "def warpmyimage(reference,img_source,transformation):\n", " resampler = sitk.ResampleImageFilter()\n", " resampler.SetReferenceImage(reference)\n", " resampler.SetInterpolator(sitk.sitkLinear)\n", " resampler.SetDefaultPixelValue(0.0)\n", " resampler.SetTransform(transformation)\n", " moving = resampler.Execute(img_source)\n", " return moving\n", "\n", "\n", "# Read the image again\n", "fixedInputFilename = \"./data/BrainProtonDensitySliceBorder20.png\"\n", "fixedInput = sitk.ReadImage(fixedInputFilename)\n", "fixed = sitk.VectorIndexSelectionCast(fixedInput,0,sitk.sitkFloat32)\n", "\n", "# Smooth the input image\n", "fixed = sitk.DiscreteGaussian(fixed, 1.0)\n", "\n", "# Move the image center to origin - the rotation will be performed around the point (0,0)\n", "spacing = fixed.GetSpacing();dimension = fixed.GetSize(); \n", "fixed.SetOrigin([ -1*spacing[0]*dimension[0]/2,\n", " -1*spacing[1]*dimension[1]/2 ])\n", "\n", "# Transformation object for rotation: \n", "# http://www.itk.org/Doxygen/html/classitk_1_1Euler2DTransform.html\n", "# Get the parameters that uniquely define the transform.\n", "# These are typically used by optimizers. There are 3 parameters.\n", "# The first one represents the angle or rotation in radians and the last two represents the translation. \n", "# The center of rotation is fixed.\n", "t_input=sitk.Transform(fixed.GetDimension(), sitk.sitkEuler)\n", "p = list(t_input.GetParameters()); p[0] = angle; t_input.SetParameters(p);\n", "\n", "# Resample the moving image based on this transformation\n", "moving = warpmyimage(fixed,fixed,t_input)\n", "cmyshow(fixed,moving, title=\"Fixed Red, Moving Green\", dpi = 50)\n", "\n", "# Run the (dis)similarity evaluation for a range of translations\n", "tx_arr = np.linspace(-15.0, 15.0, num=100, endpoint=True)\n", "metric_calc_translation (fixed,moving,tx_arr,metric='SSD')\n", "metric_calc_translation (fixed,moving,tx_arr,metric='CC')\n", "metric_calc_translation (fixed,moving,tx_arr,metric='NMI')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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hS0dSOWyliKP1f1I8IGKwzjNWI20LWYQEi1X/bFQyXDCG36Ditu5wwYozyXmk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\nCleBlpzbJSc25UmS80hy3ho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EjAdgE9R4X6oQnonECLuakbDHRFOOdMiBDnmdcx7Kgpnm\nVNBsGqbw1EcrhxuXnAzmrNKKs2sZb4nhBaO8kA24MXCMXjUMHkE18+ptvUKpTsPGZddsDh9iOWYK\nEDGoE0CZUTQTgtDGToplE3uK+3wMVU1IZu3uz+vn2VUZr87W9H4Y0zHwE8F3IgH+jKr+NRH5WeDP\nichvIbgLvKPcPmBQ6q/FtSypXXsAmoBl3nkSkDCTSGSnqlc3GuIg7XmR1p60P0BuTTFfcEj68jUm\nL1zj2vENXty7waez67xU7XJ9NWC0AskryrLy2zuSBJOG8K+VwrygejijeO0Js1cfcu+NN3n95D5v\nXTzmdDWjqhxTsYxtBmlKNUxYTi26kzDRIQezHW7vjblpd9kbThnsTUgPJwwPpwwPd7F7I9zQUiWC\nSwWXWQprcBKCrlZgSyUJ/kgiFc4IDqHwxBBrUxJrMJkhyfCm28rhCqUshRAJBashuLEYEINTix0n\nUIApIamEJFdYlj5k7rxAT5cUjy8oHp6Tn84o5gWV8/HBJS8RDFUuVIWjpPShWE6Bk8y/VGF3hDkY\nIwcTdHeEGyRUaYLLDC7YDI0YpiSM2GFPM450xF0ueEPPuSczziVnhX/Lb6WKlCDqNzRXQeG6lzrO\nD4UTDGfWsMiG3MqEYVJhHwrM8tbXSRRXBbcJbRnOkIRjpv6FCWjwJ1MqZiyb7b+XD5VoeoyO9Tl9\n9+LOroS1fGPzxNWB03sGJlX9ZeBLNxx/DPy6d5XZBwhKsW0ppqqbHnDDh2oHSBPNLCGThi01F0mj\n3tXqG8MUORghtyeYz1wj+cx1Ji9e4/r167w0ucFnzBGfLHY5WmUMl4LkPh4QgMmsX7pXQVYVcrqi\nun9B8eojnrxyn3tvvMnnntzjreUJF+USUZiYAVM7xGYpq5GhmiRkeyN2Dw+4OdjjRjXm2EzZG03J\nJiNkb4DsDjGTAQyGqLV+oIijSqAyfi0odYa0FJJCSUpHVjlKpz4EivHP0Yl/bbdNA6CngqkEIzSG\nXpzi49FJiE7gg69Zo80ePhW/epeQkIwEmSjGOSqnVMsVxcmA/GHC8iQhP1tQzVdwkSMXObLyalJZ\nKG7loCixK8XOHHKSw3BBtTtHD+e4/THVzgDZG6LTDM38NpnE2BADKmVCwq4OuM6YW0y5r/5VTqdS\ncM/MeMKC3FVoqZilI8MbGYvMcZ7C6rBiZS2rxLBMUm4kI/YTQ/bAIBc5mvvOpHVcdx/TuIlLPibl\nJlOq4Cjq3zLsg87lTVSnTQs4fbO3bjjWZUV93aGfYt30cTVm8Kv3/P7AmVIrbTNtnh38oppE0Sdb\nR39TRwrU6OqAYc1+OSMwSuBwBHd24QuPSL7oBuMXjji6do0Xx9f5NNf41GqXa8uMwRIoHJXze85M\narFp6sPJzgv04Yzq9VOWrz7m5LV7vPbmG7x6ep+3ylPOJEcSwyQdMkhGJNkQN0mQg4zx8Q6Ht25w\n98Yt7k6ucZiMGdsB6WiAG6e4sYWBhSRBKkNSKlqFIHG5a2I0qTOY0mBLwTolU6HC+lU59aFj/axe\nUoSdytaAVqCmQl2FKx2udD6crQOngsMCFmcsxnq1TsUgBkpREmOwiX+fjTPKak9Y7sHymrC4yChm\nC3RWIBc5nOXIxcq/4ulsiZwsSM6BVYldAVWBOy9wpyvc4znVzhCzM0CuTfzq6M4QGaWQZZjMklgJ\nYXYtQ7VMSbkmIy5cwROT8znnYy091BkzLXBlRbIwZJqQqWExgDxz3D+oKI1jmRhmNuElC0dWyO4L\n9hzcygUH3NCf6pd9qld1x6QcM2VOwZwivPCg4ozVWkTxrqPlZkbzVJYVVi/j1LIBhiT6PG9wulpg\nekagtG68q3Xu+nyAqwAuGui90L4/og5qBtpEpPTAVLsRCDqy3sh9dxe+8Br2S44Z3jnicP+AF4ZH\nfIE74JP5lBuLAcOloqWjVNe4ExhrSUuwF54lVZ99zPKVhzx+8wGvPniTXz59i/vugrktceOEbDrG\njEdU2ZDVaEBybcr+8SH7x0fcvHHMnQMfiWBoErAGl/iXVVaZVzcFoQqhUaSsfKhdV1BqFWIdCYlL\nsM4iYrDGkhnBhaVv1Sq8xsmhVYmuFKuOKhFK49VSrRwa3oiCCpUDo/4NLGosNrGotUiSUBooxVGK\nX7JXIxTWsTCO+cCwnA5ZFYYqHyC5wy4qZOZfoimLAnm4wLx5gTyYISdLzHmI/V0UVLMCN19hTxbo\nMMU8nGOf7CBHE+z+mGQPkt0UO6B5BWAiwpiUTC27ZsChc0xIGWEZYrnHBTMtfMTLZelXT8NnmTge\nHDhW1rEQQDLEWg6tITWQnKkP91vVod6C7Qn/9hmDYUTCTXYaYKq9wn3shDZmxbqBIv7b/t9/UwrE\nW6xoTBP9FyRsHlHPF5quDpieCSjFbvqbvDdaqQ3ctfpWq2yta0CYWQhhTIQmxIkYQQcG3R8gd6fI\nF/cJwrgAACAASURBVB5hf+VNspeO2N/b525yyKeKfV5eTbm5yhjmilYVlcFHqLQ+GL9dOczZCt6a\noT//kPy1R5zcf8jrJ/d4dfGQB25GaWAwGnlWdjSm3B2wnIywB7sc3LnFCzduc3x0nYPRDjvJkIFJ\nMRVUrn5pgOAwWBHU1R3Ue0q7svLG5RCMzWFIwG8RSQwm8UCSWL/MXboSws59rUCdf0dcVSphtb95\n5xvOR5+0ToJNRcG4wEAFZ73joZPwaijxtpWFliykZEFBnjrK1CCDzNujJoI99Pv7ZOngZg635uib\n5/Bgjrx+jj6+gNkSt1ihqwJmDpmVyEWBOc2xB0uSayuym470doo9SD2wJlCIf0sKCqlaMpcwVMNE\nEvZlwGsy8iFMNGfuSspViSVhhMUMDIu04vG+CyxQSJIBJrEcGCEVg9Wl9+anohKHOv8ptQWdHTJe\nZI+cimUI61Krc/0VM9gER23f70e1bFOFERINkHpRp593/9vzkqtX5Z6R9Ffkalf8Otxtvdu/DmXS\nGLbV+yKZDcuriPHXZRbdH8Jtz5TMrzgme/GI/cN9XkiO+MLlPp+e73BrkTEpPJiV1vz/5L17exvH\nsfX7q+6eGdzBmyiJsmTHSfblfP9vc57n3U5iR7Z1IcUbgJnuqvNH9QCg7Ow32TuJk5zJw1gEQRCY\nmV5dtWrVKkh1wash977jl+9u0f9zQ/7jDTcf3vPd43t+Xz7xvu2R0LBuJ4TnCzZXU7aXHeVixvzs\nhMvVJb8+v+L1+pJVM6UlEasquww+oikHpYy6KvAoL+LAmCCU4l7gBYpApvjopQ6kDaTGZQsxGolA\nsYhppmRXpmsdWDmUaiAjsh/P1Jh7dk9JXp3b28WEQyosHiWZCdnqAEod2JaBPvhnEHD/bQJdjIQA\nIQqhASYTdDGjXCzJH+7Jz2cMbzvKh3u42RBud4S7QtoWYhbSp0y6v6e5KTR3QtpFQi8Mpw3DFIYG\njxzhMOJJOiaWOGHCK1vxMWz4IBv+UG75wR7YaPGJwBoxC9w2hY9LJb4s7v7Q+Pis8+Qum3a9YaDH\nSiW2zef69VVKkAicMOENaza4B9VjdXEajqDmuF39c8nAKHsZ18BT//vD7z8VYXK0YsbX/+Vklv+y\nwDSe0mM/ZQckqU25FZjG59bUTRDXEwk1hfOQe9QqSRuRkynh1RL+/RnxPy6ZfHHGyXrNF/GEf9ut\n+c12xcvthPngFakSQVvv8QqDEm56+P4e/f0N+s019sM9t3e3vN194tt4z/u2p6SGeTdher6i/3IJ\nb2akF1Pm6yWvpmf8ZvacL7ozTuKUxio/o4qWjGphp5kMmIVDZSyGMTvFFdpGiDXCMWeQhgjSgnbQ\ntm7Ja2LsZxpnq95kVltNlFAOUzqCiKeAMbo7gTQkc79uq26dPnBTXIApDopq7K1JivrcOwnVkM0i\nE4m0Fnxiin8ESgKioJ0wLAL9WWK46tCbNeHDhvRhR3ebaT4NxJue+OijydN9IeV7ws7gtofLCTzv\nKKvIMBE0BkqIiAkdQifuqDCTxFmZ8FzmrGiZWOQtD9z12fVealhXGKLxYaaEy2rWN2lh1vA8JtoQ\n4FpgKxTzwS1mfpcW80bthsgZU95wwj0Dt+wYKNzXlG4cd/9zpPifqqTZ/mdPnzuui8N9MUZb1HXz\n/1fy+2987InCyg+NvNKe2d6TfuP38MRnqX4vUZAuwekEvlgh/3FB+PdntF+csVqvuIorfrtb85vt\nkhebCfOcAGOISk6CtUIclHi9Rb67Q//rGvvdNeXHe7YPj7yXB36c7bhNoKmjm7S0Zyvy6xXbr+dw\nNWe9WnLVnPB1OOV1PGXNhCYLUocf+ERbn/7hgxgFUXG+p36sEAPSCLVFH4k+FqnWkVGJ5CZAa2hS\nksh+Eq+N5K2ABieqBW95ieol+BB9HFObWrrY0pBo6pgmkgtQtREySpA6HBNB61ACNV9yYs5RCbJX\n24cCTXZyJAdDgzEEYxeh7yJ5MUPPW2STifeZ5i7T3BbS9Y7wYYu8e4TrLdwO8Kjw4yP2mJGbBm46\n7EVHPmso84R2DdJ4tj8Ca1cntkzx8VJBAg2Jb/WO3bBhsN4N5FrYpsD7GRDBuoh0LU1MPIvBm5yv\nBXvw6xYMb3Su92CoLSsXzHjDmg9seKgGc2P09Hlv2/FxHOvI0b8PmcPP/95xavdLEN7Hx78wMB1l\n3vvKG57OcIRB+7NvR9uGHJJ3EY+suuTivVdL+I8Lwn88o3lzyuJsxWWz4qt+ya+3S652E1bZ9b19\n8ghEoyHbAfm4g2/vsW9usN/foO/vGbZbruOO95PM4zSQminrNhFPp+jrFQ9fzciv5sxXC16lE762\nE16XJafZR0O64ZgT0qUUcimUopSg1A/sgDIOuBSPgqgcT5BETEaA/cjvUgsCWu08UK/gFSuoOce0\nByoz9x8yCEFIMdBEtw9pUkPCo40QApIilpyUFwpSp+KO9iWU6isefPav1uvhnJZABrJ4dSu65mcI\nxdO+BJoSMm+QlcG5QQ+2MfR+wG626PtH5N0j9sOG8P0G+Tggjz0MPeFxi9w38LxDLzrsZIosBRpo\n6jDMWCe2NERObeJTYyxg6n5RD7ZjqxkpUFrhsVF+nIBWvm4a3H73JASvU6rW63KQqbiswCt1Cxpe\nsuCGE27Zsj0aTf5zx6Gm/JQd+jmQOQDX5xqop//9pY5/MWA68EnHlQiOoyR4sn/YHpD47NEKbEGg\nS8jJBK6WyG/Pkf98RnpzyvRszflkyeuy5FfbBV9spqxyIiIuXkw+a45NJlRQ4nefsO9uKTcbdpr5\nNFV+mBRuWojNhPO2Ia6n7L6Ycf31lHzVMV/OuYprvtYT3pQFp0NHm11TpKMnlDmRqpWc3ofn9axo\nKSheph8/qOAe3Y1Fj0DEK4bOGNVFUwpkrcDkezWqSFbIPp9OdOTfhBAjKSX/ipEQEmEEpljBKUK0\n4I6UigNSrq8rblebiE72GkixKkMwSvaNIwd3jxysji2vV9yHO0TUIM8CshTyaYedt+hlR/g0Q3/Y\nIN8+In/cEN9vsIce2RbijwNxu6M8dOgmM6hRVkqfIlG8AJDGUU4WONUO8OvQ16GgQyloHijFR2rd\nd4Z1EE+EmSUm1pF0waIYTS6QHfy96ll1XNRJMETWTPiSNZ/Ycl9HQnk6V3wzeXI3H6+Ap/f08QoZ\nI6rPR4UDValel80hl/i7H/9iwHQ49perCiItHD1u/rjsn3vItQU3gxuHDdBFWHXwYoF8fQL/+Yz4\n+oTubMl6MueFLnizW/B6WHBaWqIEXzTRGzjDpiA/PCLf3sHvbtC3D9hjzxCVu7nwdm58nwqFwJoJ\ny+UCe7Xk/dcT8pvEZNHwBWt+oye8zgtO+5Y2CwyKiRGC3zx7fDJAXKVtoXoWmfq8uewp2cifCNXp\nVwKNRC/fU1wAiPkHKIYMHo3tQak6BjAYUo74uxQJTSI2iRCj+0cFB0OrCvkQK7dXq3pkr+qZus2L\nRPGoJNRFpi49kKJYhpwNS1KDJ91/mYkrmtVAFJVAFldaI4alCJOOsPTrGc5myLMtzfst8uMDcrMh\nPm5p7np00zM89FifyS8W5PWE0CViiD7CikBLopHACS0qS7IUsmUGyfshCopvHA/Au0Zo14FGA2lo\nedXPme8yqc/kopQ+OxEO3r4CJBuV4XO+4oRP7NiQKwm+2/NNh7v4KTjB02jpGJTY//RpVOV8K3uj\nOY5Wyd/z+JcDpuMTb6NKu0oARrL7QPL55dhXjMZXGCOs1m1LeLmAX5/C/3MJb9bEszmLyZRnOuWL\n3Ywv+jkXZUKbGnL0GWxFC+F2IP3wSPj9Lfmba/SHO69mtYGHVeL7deGbuOXGBk5zx2QyJ7044fFX\nc3avW5p14JIZv82nfDUsORlamt68J02NWEvtJi5mjCokSfRRySLkGMhB3IYjGzF7mToQD6O8Y6RJ\ngVLJ51IdJ8eyv2Rzb6icHfW0kt7F6pjtsd3EiV5SwOpXEZceECpIByDYfiKvZIPe9V0BI1bNDyJE\nKrlr6ja92d+L1veYkf0GkKOnkQFcEiGAuDQhV5U1xTk1nQS3kZk0yNkMbnri9QputqTvbrHvruH6\nHvn9Hfm2R+4zerXEzqeUaUJDQIPHGiE0FZw63tgKNW9h2cjAYBuPaBHQzGO75bvGkDWEqzlsE1fb\nGbPtgJSC3JmnqqgPtFDFVGgsMKPliiW3+EDSXW3D2ZD9+Z8R1OOWG45A5XhenDGOHz+A1ZMMw1/k\nMOjiFzj+5YAJ8DRsBJfo/FI4+rlI3V1r5HT4Pas8C8gkwckEXi7hN2fwnxfIVyeEizldN+Gs73jT\nz/hqWPJCZ0xDh6bg1ZndAB82yNsHwncPHi19uPcUcdHycBp4u9jxTbjnLY/e2Ho6pVyuuH095/Z1\nRz5NPI9T/j2f8ytdcqoNST2y0KJOmEY5jJDCy+qmRgpGH4VtqD5DWdG+kAdjMMVw8WTTJGLrEogY\nIGmok3EFKYpUfyhyTRNLwbyM5IJIM7SW/UMt5WvE/b2jO0tmES/xj2CjRlMUBki74lVKU2KNlKKF\nyl9BBJ9AUpz4HrmuHugF8nitxknGxn78ObDn1VTdTmZU8ZcolKnbCZdZSzhT5H4gns+QRYv8v4Hw\n4y3l7ZbwAHpv5BeZcj5BVy3aRnJyxTjhUEUz8/RyGwtFjdthhyqI+mDSXbPjbYS4Nng1wTaJq82M\nrh88Zd5QO+aoyZpXPaMFVjbhdZUQ7PZR04ZtBacD5BzAJjyFGuS/iX6Of38vxpSxGPH3T+f+9YCp\nVt/2o7uPDzv+z9MTbvhNbtHTNzubIlcOSvJv58iXpw5Kbcd6aLjaTfmyX/BKZ6xih6RANqVseuT7\nO8If7ojf3hN+eMQee2gCumh5OEu8nW75HXe8He54tJ6T81PS5Sn91YrHlxM2p5FZO+GVrnnFkhMm\nNAIqbmVrUuULldMhiKuRzSMM/zzi89esgstQKIPSmxEsEiMQopeqa8QoNZX1SEl9AMJQoNQakNq+\nemSMGjCPTL1Kh1vtBsWiu1o2gssSEJKqawMGb9GwHmIxNDrpLjFAcE+kUIGEAqhildjPpvRq9Cpk\nEyfIdWwn8vRzHO7uK9wIg+1HLAlClPoVo6fCbSBMO2TSEppEaNzZ0769RW4yZbhnuMvkTwP5YkK+\nmKALGDoBk+rp7fqjL+WEBzJbBkyNnboXlZZAr8qm3fG2gXgG6XVHemy5fJzR9nVycp3u4h/Lew5R\noyVyYTN2nNReurIfQL6rUOT2vIfISBmjpqcb889FV59HRvvXO5IS/D2Pf0Fgkv3wAF81NeX4LF3b\n9wodSwSCuEvAmbeZ2G/P4LfnyBdr5GxKbBumOfBs2/BFP+OVzjkNU+dnSmbY9tgfb0m/uyP94Y7w\nfuOp26xBTxo2Z4kfJht+V+744+aWRwam6znLq3PC1SmPlxM2J4k4bTiXBS+GJWuZ0MQI5mmMFo8C\n1YRQBxNIcHV1oIIMvrBDNoKpt0Fk3UcPJlWmXcvzihOuRdhLAtQUtCA1SjoUqGvoX+N/13c5OBWs\ntk4UIiBo5eXVm5SLEHpP30qvoMEbilNAUwU18ajDtF6jolAKlGoShzIUI6ugJVZ3TzvI88PRNbWR\no6r6q1EnJD6ssgnHpHwFxhhIMUCIiEXk7R3lvidtN+Tbgf62x7YD5dWCLOLRZnRwmtFwKYGNZT6x\nZWuZj/ZIUb82atCT+dSBTSE+M5ptS9xOePZYiKWA7QjbCthqe9VSVG+XeW6L2uib2VbHy0OTi/K5\n7uggvDyKhGB/JQ8/Y/+Mp60sFZP+zvqBfy1gGkv71dTtUF04YNK4wMbEen/SAz4Vdz2BVyvkt+fw\n7xfweuX9cG1DW4TVLvK8n/KyzDmTKZ0kNBf6zZbhxzua//pE+vaR9HGHKJSTKeVZx3DR8rHd8Ift\nPd9ur/lkW7rFhLMXz1i9vECfzdiuAjJJnKY5L23JhczoxA3XtEZKI5FviJeho1Q9kNcRdWxvyIpo\ncXBQ9ShIDzfguJMq3qA7YN4zx0/HWJsdQZLUFBjjMyN0DJctiBas+G6tClhAVJAM9O4/TgGNgsVQ\ngcnbWoqa99WZR2deFfS+vsI4y80jkLGicRirJXs+sda5RrkWog7WDUIXAo2Ja7RqZK0BpIuItBCE\nkFxfFUIg/OET4dPGnTcfs/e8YRQRSghoG5EArUQ6Eq9tyT07NtajptzIjqGoGxJGZZcGrhtF5kZ6\nCSm3pO2M06KkmpfbxjcVFSjBK3wtkaV1vGTBlswjPQ+12Td/1rDyuSzyWBYw3gPHWqc/1cL1BJz+\njse/BjCNyCPujS1HKVywsBcrjc24BnVnpS56oAuEVYe8WCJfn8G/XyBvTrDzqXehZ6HrhbOh5WWZ\n84wZUxoYCv3Dlv7dLfrNNd13G+JNJoSIPuvQl3Py8wkPC+XtzUe+vbvhQ35AusTi8pSTFxc053Pu\n5wFtA+s44aUseWlLFrQk8zKy6pF2KNTBm3XqbrQKTKMdcI00rBTMcyEfO2VVBLkPHqt5mSmDVpeB\nUc1YiWyp48cxqj+1A9LxLjtGpmOEQvZKWlRzq2Bz36VYCWwpVF2Tq+EtBSzoYejDWBQs6gb/JWNW\nE5dwmKAsgASPcg5ppX+J2uHFzNX8MUMDpOigFOxQEFfz1Ik2EJZNncJSU9dSCEMh3Wzh/ZaSs0ev\nMWAhwKohto2PJbdAYsbOTtiRvSdObrlh6wWR3hXtPcrHBGntEoSpTuiKsMIHOMTiU1+CVX+mCtpR\nhLVNuGLJAz0f2fKwn1EHPPn/Q5T0tFInT74/XMWfQtCT7/6OCPXPD0wjKNVWk71P94EJqTfrkW/3\nMeEdBekCtuqwFwvkqxP4jwt4s0bOZ8g0VcUxLHLDZZnxIixY24TUK8Pdhv7HW8rvPhL+eE/8pITJ\nBHs+p3yxYLiaszuJvL99x7fDDT/ubtl1sLpYMrs8pT1bsp0I26RMpOGCGVfm89zaIg4wuXI9WWvR\nUJAmQetVtZCluh4FJ7bNGMwFiAetE/tzg4yLsc5kK0YWRUMtw9Q5eA40PlAgVvW4l+PZV23Gi6CG\n65pEiUVpEBoNtAqNGqnaoIj567s5XvIqXnxqvNdYcFDNVnvxBgdlDJHo1yzWvsXgVTYvAhyAeXQM\nEJxbCgpJnVAPoXIvtQjiAsda3RLcPG8ZMZkS9IyYCzG7Qj7cbEjvdyQtFMFBMbZIaKtSPDAR4ZL5\nvvlWJACf+MAjoShxpxSDfgIfmx3NWWIROta2YJoj3WDIkIklV+mAG82V+r4bi5zZlFe24gfu+cjj\nPnLSJ6nZgQiHsWf9pwMNxs36mIf6b9fb3wGc/rmB6SegxBMWb2xnOHZ/G1M8ww4z39YT5Pkc+/Wp\nV9++PEHO5+7bU8djdzlwoi1XsuJFmTPfCnzakr+7Jv/+I/LDPd11Ji1m2KsF5VcnlC8WlHXDw+6O\n73c3/Hj/kW1nTE7XrF5cMLlYMUwC93GghMhSJlzanDOd0mnwFGbIaF+n8I5tC21E2oC0jQNMGdOv\nurC0+ivJGCU+7YkyrFZ8hKxQiu2FdRZAUgUmcJcAhdgrQQ+p73hrj6VtpZaXC8TaTd+pMVFoKrcj\nAhZi1TtFpIlVYa4egYypV20slkGRvlSrEA5yj+ApWKx2KR4Uef8dqnUyDK5/Mk9bo/rrhropqYCI\nOWGPMph6OmTuHiFNgFUkypTIOSlAEOd87Poe3j0gVkcGWEK/7NBlQ2lcHDkR91cSDg3NCBR5RHVA\ne980csjctD2/P++5KFMW/YKzXgm7AbLbG8e+SggEVISkwqw0XDLnDSe85/Fosq+zfEeB5+H6H68L\nnqZ7I9nNk+d7GWEcjPBk3f2NwemfF5g+B6V6jMtwrA3bCEKjRGD83RCwNmCnE+TFAn51Wqtva+eU\nuoTsCgxKMwiL0nJpc16VOScPkebdhvztDfrdR8KPD8THzHS5IL4+QX99ir1ZYicdfdlx/XjHjx/f\nsQmZbrXg9MUzTs7PSNOWhzDwSGEhLecy40JmLGhp1EvrlmuFrDhBJMnny0mbfCT3qBSunIqNNfFR\nUFo//7h4rRLezgUJWvCeOeEJPxdEPLRIIMm8OobVFMmN9ACyGUV99JFU5biEREJrb5mQ8KqQD+uM\nHu3VkUslOGc0VLfGwaq1Sh4YhoFcyXeXpMl+UQTcASKW2mgcQm3N8ZFJowZrX10str8/DqGUd/Zn\nMXaa911oAUEkQic0sd2bM8QkWAL7RtH3t+j1I4iRJdBbQL4WysKQ5M3SHtlMMF0hYpSoDOIFApNA\n0EjsI0GM29jz9nTgxZsl6+0Z3QAyFIaiDoC5eACLYdUra6UTvthHTVs2+9l05c9eQhxB1s/xUp8/\n9uSX/4bg9E8MTE/Tt0Ml5ugES03jKolgYh76S40IVh08X8Cvz1yr9OUJnM3ca2k3YDslDEpTEktN\nXOaWi8fE9Mct8s0t+t1H7P0dsS90sxnt1Qn21Sl6tYTVhBKU+8cN7+9vuLOeuJ6xeL5m/eyUdjah\nD8Y9PUjkhAmXYc5pmDG1BLXL3lOaWjtP3ghLU6exBLCMcyFRavTiaBzqtqk1OpK6kE3CPozX2gKR\nswsBTQQJEdF6y44RUgqHcnv9Go+ghplP6PX0yaBWh0YaWpB9pTSmiHSNuwxEb+cYu+wdMF2rVYp7\niKOV0t1v/xV4a+Nwo0LUgFmkqMshqG0uZINBoS8OrBa8GXsEOKnidvGm4D0wjV0BErAuoicNJnMP\nIqO5upsd+foB+bQh/OGGQbycUH51hiw7B+AAnSZOZUpB6M3YaqYk4y4MCIE2e5NLbI1PceDDOVx+\nNWe2C6ReycULGGHTY1lRdTmGVLvic53xijXv7JFbdmyrJe9x+nbMBj5ZQj95ZE+7/plr8OiX/srH\nPycwjaX/Y63SE6FkfQgntkWPgAvcD3bewvkMvjrBfnMGX50gF3OYJE8fth4thSJMVDgdIpcPkeWH\nnvS7Hfq7G+z9HQwDYdqSzmaEZ3PKyQRrI6bKbtfzaXfPB9nQnzRMT1fML09Iyzl9EB61pxicypRX\nYc2LuGQdJ7QafbFUFbap32hBcFI6Bie/gyDR2ziIisXKJ9WWkpFrGVM4r2gpUltWwLVOxbyUbVa1\nwtHP5z76ErcoacQIVQ5s+O+NpGkYiw4i6FEENF6IKECIhDql13Mjv1rVUICgrgjP5qB44ETkgEt7\nsGPvmZ1qF1sxTzf7ouSCC0P74lGTemIS8BQwBG+XkSgOjji5rDXiDrV3sAjkTsirSNIJ6IqiPpqy\nJCVc78ifNvCHjxhGCEr48pS4nBAa10l11nBWN4RMIRt8Zw/0KB2JpiQYhI30vJv0vLycczKsmfRG\n6vN+YyqbwQsh5pxgCoGJtDzXBVe2rCndrqZ0yn5T+LkldLRWDorwQ53uzwanv9HxzwVMY/p2DEqf\nh5SVlB0fFtgTq/u2iWnCTifweoV9fQpfrpHLuft3Z4NNhp0L4xpLLIbIxUPk4p0x/cM9/O4BfX+H\nbXtkEomrCfF0hs0bNIBlV1k/hB0f0o5Pa7C0oDtbEtYLdl305tMSWNqcL9M5X7XnPEtLZrGrnf7e\npKn7j2eHz7Ffpg4IIRhEj5osykEVV58/Gof5De3VmwSIVfvVI+sNFCTaUSHBy+2NBlqrBnpmeGbk\nyhnFld0j95RxM1ipla6CEcVHU2k0UjRCrIBmoRqtASpICYhWKl8i43TRMip16nsS8c+eQqCVSMCN\n2kJxJwLLUAbdL2odo+faSOxfwTVhUVALWFXOa71nnDdz0MrJiHPgskVZU0KGxrDf32IfttinjT9f\nlBQhfrEmLafElIghMCXwjDlmsDWlV+V92CLBU10KbMrAu/jI94s55y9WTPtTuu2AbftaNjTUDoWA\nEWpPZMILWfC93fOBDY81aipHa2A8fvr9T9tZjqUDR3Xs/35d/pWjpn8eYDoGpT1HUB87ipHEZF8t\ncjvXumDMwcwmEdYtvJjD12fw1Rq7nME8+Z24yz6tZCgEC0xL4PQxcvleOP39jva/BuzDhrLdYa2Q\nFh3NakaYd2gUihbUErtQuG4H3nWZe4lY28Fywm4q5OR5z9JmfMGaX8fnXLWnLNOUJAnTsudUxo9p\nUAWS3iIi4iT1+FlN3J1ytHZhTMc42v/qw1onloXxfEFtgK06qNrBL6E21Fqgq5Ntg5q3WdTmCcUj\nizGJcxxRBqiA4M6LEd/h21hoQv23+TDKVgNSAqUYUSNoRomIGCa1E8wc4HxPcn+nGJxrSeIldiuG\nZSEPUHofimAuf/ZILgqlE3IjxOTnTxtBQ8AkVs+nGqHqkd6t8mglGDKL6OUUmnOIhjQBibfo+w3c\nbeFblzSoGHplNMsptC1JAjNpuTT4yno+6Y6NFu7DwC4UxGCXCx/CPX9MEy4XU9YvZ0x357S77IWA\nYmQ1sg3O6dXIcSoNFzLnOQt+sAfuqrFc2QsrRr7oc8L78yVW+cWjeOovSuv+iuD0zwFMP0d0H4dE\nYxp3fGKOt4bRYaCN2LKBi6lX3n51QnixQBed8yabDFu3jRUTkgnznfDsJnD5R2XxzSPybiBve3In\nsGhJqyntfELsGoY2UCaBPAvczwof24HrqGxxdfBGfCcTSazTlFfxjN/KBV/EM1ZxRgzJd+sy9paF\nPa1dzFXbDDUKslh7DiIH8c/RLlcf8jSLvX/5mNapjf1Udd2Op6yMVRl/D41EJiZMLPjwR3XeKpju\n/5qKIbg6fVzMxdxqUqsiPWA0ElEpVbOkpAKtBqIlksFgDm9FIoO/kafXWNgPz0zic/g8OQteMSxG\nzBAHd0QgVyV0ECxFShPJXSA0YAkkVWlADIhEt2Ip6oMqiyK5pqLqJJgANAEWraekMSKpJaQWSTfw\n4wPcbFG5cW7PDPsCWAmhaUgWmUrDMxZc2YZr3fJQBh5khyDkrGQrvNNbvg8zLpdTZq9PaHelj5PX\nOQAAIABJREFUukPUhuZR01b8GjZj1MTSiXB75LHKBw7L4Wm6dmx58nRrfxpR/Xf9dT85/org9I8P\nTGOEdEx0H5+rokdVOdnfzMdP8egiwqxxcvvNGvn1KfJqBeupL9xthu3gFRxAJNANwulD5Pn38Oz3\nmckHKJueYRrQZUNaTmlmE9KkxRYN+aQln3c8LgIfuy3v0o5bGdg6c0zASCVxHqa8iWv+jTPeyAmr\nMCFVDkKFKrYRQnKdTgiCFu9hMxSzcZCSoE0A8VL2GMGUChb2WYQpVZg53qY+CUYO7Rw22qfYHtAi\n0Jq4Utpc2+Qpju/XKoFoY5eW/6H9+7DixLhYrYgWAoVkSlRFa2UimXgqJsYgxUv4tXqVZfw8fiH3\nXtx1cm00qbIA28sLGErl2fDKYuPiVdrA0EBILgcITfXManxgg5k6iFE5OBUfe14xeLQqSk2kiQ1B\nWoSG0LRI02LxI+XtLfpx44LYKl0IXwbSygsWwYSVdLxmxZ26cvs7GdhKdl6/ZD6UO75rJlymGavV\nGYtfnxOHgdIPhFyIZWz1cS8nkUAnDec247ku+SP3XNu2GvGOQwwOcDNOAj7ezMb/PsUVObqif+56\n/cmL/I+Of2xg+lyjdHzsKzS1CnMUSe1Pu4zRgzjZOmvhckH48hR5feICyhDQPkN/KCmDT6KdPRin\nf8yc/WFg+kGgD+RloqxbWHSkSUcznxBXU4aTKfZsis4DD23Ph7TjJvT0oqg4lxOjsQotV7Lgaz3h\nKi+YS0RKIVcwYvRXSgGq3ieURKwK7lHPMpb9RT0t3IvmxnRtjxM1xaukuQ8kkBpkijfo1jlzMlqe\nHJ3jUEvTwYSgNdSvvYcmglIYtNQ63FgFcqfH/YIYL99I5BcXOBTzfWUEw6B4md9LdPtWGIIQqfPf\nNNJaQ0OitUTS6gNeDB3Uq3DVAYHgoGNtxLoITaA0gZycRwvRiyMjd6dSGTlzbklLvZ/U3NdcXSbR\nWKSLDWFi2GkEEhIbNCa/ft/dYp+2jNqgrEL+VSCsXBjbhMipTnijK+7puS8978IGw/VegxY+6iNv\nueeyXTBbz2m/vkCHQukLkksdv+UOBKoOVHNaLmXGc+Z85JGd5coz6bg0jhikQzR0LLWsdYj9Evu5\nSSv/93XL/xqc/nGB6XM5wFFQBBzgfTwBeuCT6uZ/tDAFuoCcTpCXS+RqiVzMoAm+EMabuf7dqNDs\njOX3AxffCSfvCu3W0FlCzzps3RG7htR2xNUMLmboxQSbJoZU+MSOT7ZlJ9mbPHFD/y40nMuMK1vy\nvExZlkhEURmwUBw4kjeGBjEXUXaJYFY1S/XWiQe19P5caI12PiMvVTi4JjQj8VsrengURl+wvtqb\nHG0ATjCPrIM3C+/vWmxfNXOuarw2B45CwCtfVRsVC8TeK1eSaum7uO+QFHw6cdY6nlyczK5OllC5\nLhJRE6lEmhC81UXBsjJkPQgspQJxE5Am1tYXQSMMESwaQbxDvyiHdhjHptraVGfwVZFtKu7/3Ub3\n/pYg2CRgpwEkojFW9bwQ335C7zPy7T0QMQL69QWyBGmC80LM+MKWfCwb7q1niK6higab0vOu3POj\nPHDeTJmeTGm+PEN3A+wy1ucKTOYdAQqdRc6Y8YoV7/B0ruy9B465pQPv5FeXfSPwAcYOtMBfEC8d\n3Tz8r8DpHxOYnhDcUrfhzz6p/OQf+8PXZ10poVZiFh1czt3K5NkCmybflYfKKRVj7AGLGSYfe07+\naFz80LB8DISuoZxO0GcTbNoQJRFnE7iYkp9NycsGTbDVgVs2PIYeDDqJqLip2xneRvBSF6yriHKs\nN4l4hchK7SFD3O2xS56mBNtriYhyWPB14RxHGWI1l5VaaPeBeK7havz1982rVby4b37Nxc+DCCJe\nGZPRHXJELbNKrteqnQTiPrkcxwWNChp/rUAgFqHZGcmUkDIgDMUoxSt/Wv2mYoFOfXx4IXhWJpAQ\nOkvEEoi9t8lEXM9kFZOCOTcWYiQ25n14Yy8dUvsNawpEqB8jPOHf9p/LnHOLg5EGoxmEFqGLHsFZ\nrC6hkxY79XOagvcBxhSx7+/hMSPf3SMkiA3y1QksO5oUWdDyzOZcseCDPnIrvVv3WiCY8cCGD3rH\nfVoybaY0Fwu0H9Bt/eozcu18k5jRhMTaplzZivfquqYdbhVT/gyU+KuLBP4X4PSPB0x7KQBPU7jP\nP6R89uATHVPNnd0hHyYJO58iL5fwYgEnnYsJs2J9dk6i1LHWg5HuMrO3O85+iJzeBaaphdMJ+XKK\nrTtfdrFFTqfo5Yx82qKdUCxzrzsebAfRmFoi1qbbROCVLnnDkguZMNGIqFuZuP7HMPWGXfB5bsTg\nHe84MIVSgUkOy55S7W2zp2Ru4HN0koy9edreHSTgZfIK+iFEH9k9/syo/JQnUGLBW9ytbhIKQtmz\n6T7YKTJqxWJtAwkS9qAWLBA0EAeI5vow8Ebdoq4/wsBMawOwOwCMHIn/HWgtEUq1ecm656/8dnEV\neIoNbWNYa9Dgk4TFz4UWX8ga1c+xz4hiP3nZzBGumDcj5xot9UY7CK0ZTXTvK2vcIYEgaNfAidDE\nAEQstZCu0be38NgTv7snxsZdUV8JYd7QxciJdFzZgrd2x0AhWmBCJJYAqnzSR27sgXXs6CYN8XJJ\n6Htk0yPbHhmq+6W55GJuLZe64Mtwwkfb8GhOgu/s4BoxBrd29P3xsjpO9A530/8QYf6H4PSPBUxj\ndHQMSKPLpP3MpxvB6QnQe4Rg1EAhVoX3pfewcTmDie/vZOckRpdGyUZ8KLRvN6zfFi6uG9Z0tCdz\neLFAzydYCqQMYd7Bszl6PkVnCRNlGAq3umWgMNXERAMb85L1ko43LHmuUxZ4FcojHHV3g1BpRhUn\nW+sNH1o3PkMiMeOTTkwc1NTcljXjnthFfaGPLgGwj6gsu1hItKq46990DyJAXB1uyQHG06+IkBBt\nEA2uBDeD4r1sVvy1k0UHYCofYxDH0UxjU7WJW59YTWyqU0LWUp0TPEIxHERjrbf5dayvjRPyYl6B\n05LZG9ZFcTxPibYBWpDG08YhVFmDjc6bBbU6ciLWW8m9ZDxiHIr7V+VMGBQZlDhAGoxoRlAlWAGL\nhCRYqt5YXQMS4cuIpAZrWjQl9NtPyMNA/O4ebaJHyC8WNPPEsmm4ZMYLmXOnO4oqU9w+xUx4ZMc7\n7jlnRkpzd9h8sSJsB+Jj71Xkopj1hMEBfR0mfGFrPuiGW3q2+1HjZc/bjfKBumIAjmJc+G/bUf7S\n438ATv84wLSvvoUDkW31/9QOEdHn0eZnoGSjLkecV7FZnQX3cok8X8Cqw9pYrWMLNhzxErtMvO6Z\n/9Bz8WPgskxZrla0z5ZwMcfmDbYZiG0knMzgfArL1hs+y8DWMg+6A1NWuSPGhvuQweAFM17YjKUm\nGjP2rZFibhELnhaMvWooKajbg0gASW7mX7RyCm7QHyo47EGuVrN6Kd5iYVb5swq+g0JwHycRN0nz\nOXG1CbaEeuMGIolgDcEaIhWYtPbt5YBkIQ3BhZmjf5JZDUJ8vlwc999RXyaBhEsxRgvdUTBoRwTX\nOK5dsH31DlNKCPU6V4K7pmKBADER2kDTRgem5PU1yPRSS+dHLS185gdOVmzIWF+w3punQ1/QDJa9\nr9ADqrL3efKJzREVr/IxAZGEhYQ1idL4OQ6/v0Vue/T3nzw6L0ZztSTOE2dpypUs+CE8cIMLNQPu\nerDNPe+44yULpqGlSYm4mqAvV8jDQLgbkG326TFlQNTqTDofYHAjWx6kp7fiLT/oHiTGqOkARSPv\n9FcprP10nf4FL/qPAUxj/BiPQal+iv2HscOTj8nw8ag3mVVKJcRImCR0PYHLuQ8UOJ+6ulvERYRZ\nfVEjiBlpa8yuCxcf4LUueXFywfLZGen5ijxL0A8khHY6IZ3OkGUHbUIwiiqP2rPVTIMwl0gIgQFh\nLYlXzDktDdMCgeIrLwVoBI3m46kbq02whSQu/IvjbhwCMoAMfm5kqA21eDqhuKulj2dzDY1WYNoL\nBath3MjDSIxuOxKckLVQ9iR6sFAL8smTKIs10xkdMQWyEPqxEuYjncz8fUWCE8Q1nRwp1FhV5rEY\nBJ+0W3CdVjleMaj7JcmhAnloRznc5Va5tBjFW3NSRNpIagJEg2p+N+Dc0uEe8tcqRV21nrN/jqFA\nXwWNu4zVkVGD1qhKA0WMNCjJzBX01CJBVZXTuUWJNU4jhEkDbYP9n2u43YLdIiauuXq1Yj4XztoJ\nC2l4zyP3tsNQGiJFjZvhkQ92z0o6Vt2C1DbYyZzyKhNudvDQwy57VbJkkgXW1vJa1tzajlvx6SoF\nZQfVxeGQxh1Wljxdcn/t4y8Ap38QYDrilT4HJDsGpD/x+1ZP7xhhSYAmIvOWcD6HL0+Q50tYtK5T\nKbonvD3VgbhVpjeZsw/G64cpb+bPOH3+jOblGTZN6DAgxUixIV4usLMJOkuE5N5BW8nchB29FCYW\nCQX6YWCrWyQE5iq0xReKifMTEgLSRqw1NBm5qaZ1AXJ0gjiG2lQquFCxjuSO0VyPoy4RKMFHTOdS\nBw4cmeLJ5/+rxLaM0oFYwaPx6EEUokUSkSgJsVHo6dGLhoBFq9xMAEqNcCBgPszRwsElU/amLC4g\ntSrKtOo6UIGrVDmEyx+qRMCON6KDzOHgqunZk0WwBKHx4ZLuH+6fXnO1gTEl2wH83GLFDrqnGlHK\nYNigxMEfUzN68ehWxUgoqsFlFgIhmLfxFH8vEoNX6Kp2iibU/kYI31zD3Y7wxzsvChToXs05XbY8\n66b8IPdc43RAWwsPWQs/cMepzJiElknbEacNej6DX50S7neEjZPhpubN5xI4Zcob1ny0zR6cMrtD\n3W1fuj6gxbEP5t8EoP5McPrlgWkvApSfvuGRX/rJ73z2nCPYFxGvOnUJlhPkaoVdrTxamiR/yb5U\niUAVwPVGe1tYvVdefoh8pSe8XJ0ze3EKpxOGksnb6mN9PnNuad0RuwRWBxumzCcdGIC2CBvLPGjP\nvfWs6GjN2x0Eg1T9gOrI7NAIMTk4Eay2lwil+v+ECrgSjBCNkJTQeEVKsi+4YkoOBY1KqU26I+Fb\ny36+4Gvzbx3Se+QYOaY2NaOu5LVbgAQO48ErDyheOTSrc+aq6joJ7g6Jv/beFwr2JLWJ1QJf/Xv1\n2pVqQVLEqohSvFWkgsLYu/fErK5WJ4l1/HgS4uhkIFKV6pFJcUGn1r8znpdQSWHTGoFWcZX0ivT+\nvVVrGZNqk2LiMgPzKcRB7IhLAxH1tDi6sZ1cTDBdYxSPVL65hvsBvrtHiDRBWIeOK5nzQ7rnPuy4\nk4FHBqJEOoJX7cqGs8HtnCUJMm/h+YL4eI5ts3t3FcO0xwZjYolnNueVuHzgRrZsJTv5r3a03sak\nboyiDpvan9Ur95cefwY4/bLAdBwp/amfHx8jwO+/Pzq5dVeVENyEbN7CxQx7tUQu59jSoyVygV1x\nK4xaZk+bwuzjwMUPypubKW/iitPZimbWuX/OrkeHTJx0yPkMW3VeLQsB1NiGwqc0cEehF9+FN2Xg\nXnuyZjqd0lkkFfH1bFUIWcEhxEATxT176qKtlIpzAOY9bGYeGWhDrYzVCCz76O4iBUt+Tor4GCR/\nHn7i6jgrF1vK/gYZeSPJfjIDYT/7zS/PgQvS/bCx+lmiezYRXXsVYe+bNFr1FjzNHsnsfTr+M3dn\nQen3qppQ219C/ZUahVV/c6FKJkKVWkR3LNBRJqGezTW1QTdrcDV5GO8d57UM21fiJHu0xJD3Egyp\n99no3aS4xUyOQmgK0vhmGCKE2jfogFvJ+onARYfompQVGQp88wnud/D2jtBG5tPIVTPhvSy5kR33\nMvAYMlEUrOHOem51y2PumUpLIhFCoKw6wqs1cTtQtnVQwlBAC00RFtLxwha8ZMmP4oZyGa2dAYcs\n4+nS+puwTE+P/8uf+OWA6RiU/hSxffzGx+jpOM78/IOJcwxMG58Jd7VEXi7dSaCNvtPuCuwyZO+H\nk0Fp7jKrd4UXPwqv7ya8mE+ZlkB+HHzM0OPOo4h56+lgW/XNxQ3XtmTuZMc2FgYRiiqDZnJW5kPD\nmU6ZaSJVAnif1piTxmJWrTuqlqcCwbhb+Y7NvnpnMaCNCxRNtFaZiqdMycHZoJa8D4JDqcC0/xLZ\ng5JVxbXbghxEk64mt9p1PwJT5VTE08CQICTndLT4e1Zw1TtW++XGS+wWuCLyWZZeq2sjp4SnppjW\nbsHD3/Rorv5iFeHaURToHIpWmYLLF5KNjJmPtNJRWV57/mw8V9W/yXLxZmU73Fqwl29BCGgr0Al0\nII06MNX0ceTyIuIjorpAPJ9i2Xw686bAt3fo7Zbwwz1p2XK6mPO6XfGBHTeyY1PbczCPwK9tw61t\nWWhHLA7SpY3Y2QT6NeFhhzzs0G3Gyg620FnijCkvWfK9PHDNdj/Dt4wdA0fsyQhQIwn+v5YL/A+P\nXw6YPo+Uxn/vG3KPTsQRL/CT4xiwguybLLmcwasV9nLh34eA7PI+WrIaysZemVxnTt8ZVzctL+9a\nVhKQD1u0ZDSph81nU2TVYbOEmad/YoVM5pEdd+I+OCUoOTgZPqPhhc65ygsW1pDGiKFGQ2MlS0Zf\nbdinEz4QRfZZ1iB4X1dNJ4bR59r5WEp0ElxE/LNa5QoKLs4MYe+vrbH6I5m7FWjx6DFW4BxL6FrB\ns8ChPYTDTRtq1BSC8zrWmI9Yqja5g2iN9Dw1E9i31IySBGR8rzVVk+ABmFPuLnKk9tqp90WOER0y\nppY+0ECimwCOrUhjtoh59pmINBQGhGz+mcaiieQCvcKuHBwv9yu1LtW6aiWI+5V37sRJO1qoVA/y\n4i0sYbT4HVPOiSDP5vBYkEe/F+2He8r1I7xrac9bni06XrcrPsqOBylsJGPAow28lw3PZMMpMzoa\norkjgnYRTqeE1yfE+x320CODQcnEAgtreS5zXuGeTQ+228+kU2pqfUSGj9f4lzx+wYjp+Jt6xcdV\neJzCHadrP/s6cvidINBGbN3BiwX2aoE9m8Ikus3qWEEaca4Y8T57GncdeH7XcLpJNKWnL5/I16Dz\nCM8XnhquOqxxPVFT+amtbbkLDzyEDUUGcjB2QWkInNbpqc9Y0NYdzi0x6ohs9SqaGJXvEkLduUOt\nbDn4+Ow01Vp5E8NC3LexWBMrqtXFbfV1xPbpjfeNBbf+EHzGWpVJjEYBNvIoZvtQf4w+/JJVKYOE\nI07FiCFgydAkPmYKB6Mi3i2PUbVN0W94qy0xweeuBHPCxzHAHQ2SjpNfDveHVKfMvVtm8M+jTU3l\nKiiN91aoJVoZK41SR13hjcdm4sCZi3NK1UpZco1kJeDTz+WQliGkGElNQ2ibPShJik66i/jgSqui\n3ezRYgzBlfyzCK+WsC3Y44DtBrjeuBDzrGO+WHLVzrhOa27pecu9A7wY12y5Zsu99cyspa3knZkR\nJg3hfI68PoWHHn3IlN0jcTAm1vCMOa9Z845Hrnmkt9Gv83M/8HFF/n0jpM+PXzaVYwQd2WPTPqTY\ncxAjF/InIqjxYcPJ3Eny4QLP5sjlAusaQJ4ovO2oGz196pnfKKd3kdNNYjIIqgND3pJ3gqUZsYnE\neUeYdQh402hWdnngWu/5gU98lFt2oVCSRy1zJjzTjrPSMVHvyt/7JY3vNysMgoaMaG2UrbtttOq0\nmIIDmRgFB6Zc9TshNgxNjUIMrEZGqvhCU9v3xFmqHudNrcaZewyNVryeWgLoPt0ar5OMsZvZPuWS\nEI5Ia61jinzSigbdd9er1Uisku/jq4UxIJExda3R2L5R6+BwEPZckuxn4+3tWiTUCTgOkqbjLVMj\nHK1FjrF4sP/7teKXjTLKBLLW+6NGiKKequKEeoMPFWhjQ2pbV3E3B5V+iK50p2qmzLUb9f1WSUPX\noGvBvlxBn7Ht4DKLhx755pqmEc5kxpuLGTezFTey40a2BIFb2/HeHviocxa5q/o5V8dbgLBokRcL\n5HEHdz32kLG+JyksteOFLHhtK97LA4+hPwxgOFpGcJS+8lcUWf6Fxy8cMR2ncxVlZP/DzwjSMcUb\nn3/0uOERQ1OtTU4ncD5F5g2WxHfBwbux9/1kashDpvuUWd0Yp5vE3Fx5k83HWxOCN+sup8TVDGkT\nUQLJCRAeyo735Y63fOIDD2gw2tJwLlNeMeeKOSfWOvkaK7GNMzCmQAEbPDUg+6IcW0eEgCRPaZJE\nYhCfUnsUEUhTeYAImYBGB3SfnFvpF61pRPImVsbmX63cQgWEoDV831fd/NyOjkdeUavCyxq5GJ6S\nFvPUNavPsbO9/a432MYjTuroSlbgrEBjhzHWhwogjNU/Rn5JxvfpAwh8Hxu5OAUdTT3Mm55V6xQX\nT0tNCpgiqkj2SpZPo3Gh7cGO+KCMTnjz8EQaJpJIIRGkcRFljHvn0D1Yy2FqjI33eNU4aRRykzCZ\nYMMKNjvY7NA/9MjHR8J/BSYYp5I4l0Q3C5TgvuhbMjds+aCPnNrE093kk2YEITTASQevV8hjDw8Z\nK7cIA10fONMZb9SnqlyHDRvzSb7jWPl9xlKB26+VPdn//17HP4ZcAI6ioM/SuP3zfuYxf6BWm4IT\n3Evva+NkgnXJd7BB/cYrdgj1sxEfMt11Zv2QWOeWqTSQIrkVdCrI0o3g4mpKmLfVOsON2fowcCs9\n73jkoz1yLzuiBRba8pwZb1jygjkLGgSpk+a99UK1ciM5IsHL/hAZ7xEDNCVCrIF28CgnRCMEiLF+\nbBOs8cpTDGE/rXcEJq8a1nManYOJAbfJoHIs9WaUysMcOuvDIe3R0ZupRhvVHdN9yZWSM3nIlJIx\n1Zo5+nPTyAkxEtdjKuUtIKpC2csA/HqW4BW5YwfPMaMbr98orBwBy7PBSuCrizPNzKuNxZuDTQpq\nGdUBK9VLO2fGi2JVhuCTjT2ljRLoJDGVhikNjUSiRAdGcefLUl0LEHFOb39nVl5O/Oc5GDlW8eXM\nB6LaZok9bJC7DfHHR+THB0ISZs2MkwjrEPlxIvQUegq37Phoj3yyGR2JNjQulMUIQQhdgPMZ4esz\n2CklG0EeSLcDy51xZUtuOOUdDzzIQG+Kig/w5CnbvY+cfonjlwOmMXX7kz+3//vzxp8FXEU9TQ5I\n51Ns1Xn+nxXb1TYD94R1ha4p8SEzvc2sNi0LbWhiwlIkzwI2T4RVR1pNCYsOmzUwaZCYKBgbMa5D\nz4fY80kzPbAkcWYzrmzFc1uwoqUh+sw083J75mB8JrmO5inJQ5YaMe25EvMeuRCsThTxzxtqY6xa\noKDEGElRPIXCtU/SAKbVY8pJagme84XaSyi14rc3VRP2WqOaJyGIT/oN3kYSTUC9Gml4lDQMA3kY\nnKspRlTZa8ZTiIxEOdRWFYve4oIzS2OM41jjkVyR/4+593eWLUnyvD7uEedk5v317qvf1TPdM7O2\nIKwZKioKGmaggSFhBhoCKouCuAYIKKuDscKusRKGCAiYoWD8ASthxhozPd3V3dVV79e9medEhCO4\nR5xzb71X3TM7zetTduvlzcybeU6cCA/3r3/964bIDnAP72MYpD02EkYJcE8owjhpXj5iAfBXKxRW\nSnMj2qJX38YeCAKnOgifgJnEkYkTmQMpcqfBEdt5cqI9sdG2BhLNM5J+iq63vppLEzc12pViXx6Q\nt7ekX79FX12wNwt885ZpNl4cEl8cJn6eE0uuXCi8sQvf2SPf88gLOyJNgyHvIZ0q5GNGv7zB1kYt\nLYD/B46vhM+a8efVDdMbFi5SB4G0b/Jdk6tXDHwM+/RxPaY9ntRBbHv2+/NobryvPyebx9RpAi9P\n2O3sqafH1Q3TumuBJO6qTo+Nqwfh7pK5qhlNiXpQ6lXGbiby9YF0fUSuD9TThB4zSRJVGw8Zvp8q\n39fKY4VkE5/YLX9S7/my3XJbj2RzikLnIklkiyoWEh/Nmzs2I0ulWmAwyb2URqVKQ6XiKEUP9by6\nnta8yj4FwNoHq23j1TNgZpCq404WGbtulCQ8FZfy3G7Nhl1JaEHJyOIUayytsKwL67rSSkVLIzfX\nTZqjJCWJdwoZ2BKh9R3ArQa4vr0uYM5/amIOUg9frc+NcAQJdcniQadzmMKI1cCrRpFwZXWzRLFC\nrXXDniJUfb4Lqrgxni2uJQxeZ69b/NvrAA3bsLVaseryKqaCtUKrylrr4LBZMuRmIn1x5f0Mf/mA\nvV2RVxemSbi9PvLFi8ztVeZVWlil8Y6F7znzigsXKUyWseq6Xz2x0ATSaUJ+cktbCnVp1BXmcua2\nCj+xxt+vn/K9nXnLZaMPxL213jg0Rue9BfR/4OMjekwd4I5jjy297+hG6QfPxfNZHF+6O/jPnLDq\nrXuoe7PvWEauxnER7teZ+zp7L7cs3qrnGJpFc0auJriZ4BQus3qt1DkZbybjrYG1mft24Kf1U/6s\nfMYn5Zq5TFBkhE3ORFaS4NkQs+ifBrVWKhrthDzYySJkKklqjIq6vImLBKDV8RORiqSogUvmQmW1\nYa3uyJVAc81wDbC79U2gY1riC7EXJHjPuUpBySahn+mD2KRRpLC0lbUWavFxTs3VHSe8eFebOAtc\nlJSSaySJtw6X5iGn9tgVpx2IeYmLYVE/5wteycOL0UCjrHn9m39WczpFyLJEozo3ys0GAbVKxWJg\nTDq80jeOjqtsAHnH/Py63ag710xpttMlr86CL7VQyurKBxHaNoQa9YzVrTGWXDI558R0f036ekV+\n8g75bkG/fSR/d+H6G+H+88zdC2GahcdsXKTyVhZeceGBlZNNUJ3UK5rG0jJAThP29S31sVDPDS7C\ntAj31fhZu+fb9o5veeAtC4tUKmUw9UUZm6p/6IeX5h/i+LhZOXnP7yOE+8CA7L0l2/0emt5yd0Su\nJt8tQ2rVQ5Nwv9VxgHw2btbMpy1xl06kQ2aZhHoAm4UpK3qasLsD9SZTM6SozF6s8CAKDi4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rhuV0zNGzFaTaQivrganq1pbZD0puD59AIMJMK4HDGf9L3TQ6ZWhaUSXU9skEQHjhLjYZ20VC0m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\nDHb3p31HN9159ifH/TEx7PHU3f2i8XtoAhYd7t0dceiar0ruJDD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bYySpDBkCI0fCuHWGehzHcQpGQcdIzOxr4HpgYDb5JbWOygdJzYHDgdfMbHMz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\n3Sj+e5aJUcApcfsUwoTqekN1/3dF2yO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xFKOhmssQYCvgreT/m8DUXEXxi+q3KVeQpVR1NReAyy7zN8mAAWlHEkKoZJMn\n+ygfBx7oQ+iXUMlO6CeDR54NrAH0At4BfsizHTOzLZsYayqqMrl88w385jc+oVjnzmlHE0KoRD/+\n6FOnb7KJ/yAtcTN6Obsib2pmw5sTXCWoyuQCsP/+0LMn/O1vaUcSQqg0s2f7DJKdOvm06fOVfu7G\ncg3/sjIworiQQkkcdZRfWVuNiTGEUF6XXQY//AD9+5clsRSjoCjMbEx0Q07ZlltCx44wZEjakYQQ\nKskHH3hyGTCg6Asky6EyUlxonATnn+9zMPzyS9rRhBAqwezZcOih/t2wwgppRzOXSC7VZJddfGDL\ne+5JO5IQQiW44gr/TjjyyLQjmUfFTHPcUqr2hH69Z5/1OV8+/LCiqsAhhBY2ciRssQW89hqstFLZ\nd9ei87mEFGy9tb+Rbrst7UhCCGkZOxZ2282H0G+BxFKMgpKLpDpJOYfUl7ShpDgJ0JIuuMBnkpsx\nI+1IQggtbfx42HZbOPxwb8WoUKWoubQrwTZCU/Ts6X9//7uf0AshtA2TJnli+ctfip6XpaXkTS5y\n80mqTx7tkvuZf4sAOwLftEi04Vf9+/sV+7vvDlNzjcoTQmg1Zs700dG33BL++Ec4uxQzy5dXQzWX\ns4HZwKzk/kvJ/cy/qcA5wH1ljDHk0qkTDB3q3Q8339znfAkhtC5Tp8KZZ8Lyy/uV9/36eZN4FWho\nbLEaoCa5ezZwKzA2q9hM4H3gETOrK0+IpVX1vcWymcG//uWzVb77Liy6aNoRhRBK5dhj/eR9v36w\n2mqphlLOmShvNrPs5FIykroA9wIrAGOAvc3suzxl2wGvA1+Z2W7Jsp7ANcD8eK3qWDN7Lce6rSu5\n1Dv8cFhwQbjmmrQjCSGUwjvv+ECUH34IXbqkHU15kkueHa0FrA68bGZfF7WRubfXD/jGzPpJ6gN0\nNrOcZ6wknQxsACxqZrsny2qBi8zsCUk7AaeZ2dY51m2dyWXyZFh7bbjvPm8mCyFULzM/cf/nP1fM\nLLRluc5F0rWSbsi4/0fgbfxcyweSNmpypPPaHRiY3B4I9M4Ty3LAzsAt+Fwy9cYB9RPNd2LeJrzW\nrUsXuPpq75o4c2ba0YQQmmPwYO8ZVoFX3heq0GaxT4FzzWxgcv9d4FP8XMxlwM9mtmuzApGmmFnn\n5LaAyfX3s8rdB1wILAb8I6NZbAXgRcDwpLmpmX2ZY/3WWXMB/7Wz556w7rrQt2/a0YQQivHTT7DG\nGnDLLV6G7D1aAAAfo0lEQVR7qRBNrbm0L7Bcd2B0soMewFrAX83sHUn/AvoXGNwwoFuOh87KvGNm\nJmmeDCBpV2CimY1IOhxkuhU40cwGS9oriWn7XHH0zfjirampoaYme1NVSoJrr/XkstdesNZaaUcU\nQmiqSy+F9dZLPbHU1tZSW1tb9PqF1ly+AQ42s6GS9geuw8+J1EnaGnjUzBYsOgrfx0igxszGS+oO\nPGtmq2eVuRA4ED9hvwBee3nAzA6SNNXMFkvKCfjOzBYnS6uuudS75ho/91JbW/LZ6EIIZTRkCBx9\nNLz8csWNclyuscVGAMdJWhs4DhiW0fV4Rfx8R3MNAQ5Obh8MPJhdwMzONLMeZrYSsC/wjJkdlDz8\niaReye1tgFEliKk6HXOMTxz0n/+kHUkIoVCvvuq9Ph96qOISSzEKrblsBDyBnyj/DtjazN5OHhsC\n/Ghm+zYrEO+KPAhYnoyuyJKWwbtB75JVvhdwSkZvsQ2Ba4GOwAy8K/I8s2e2iZoL+Eipu+3m3Rg7\nz3PqKoRQST77zEc4vvFG/9xWoLJ1RU6Gelkd+NjMvs9YviswysyqoqbQZpILeBdGM7j++rQjCSFk\nMoMvv4S33/brWW67DU4+uWK6HefSYte5VKs2lVymTIE114QHH4SNN047mhBCveOPh0GDYP31YZ11\nvNay++5pR9WgcvUWQ9I6+DhivYDOwGSgFu+i/G4T4wwtoXNnuOoqH0H15Zdh6aXTjiiEcP/98Nhj\n8PHHsPg8fY5ajaacc3kOP5cxBJiAdyneDe+11cvMXi9jnCXTpmou9f7v/+Cpp+CZZ3yImBBCOsaM\n8ekyhg6FjUpx7XnLKdfYYk/h3X63NbNpGcsXBZ4CpppZzmtKKk2bTC5mcMABfuX+oEEwX0xAGkKL\nmzULevXyIfP/8Y+0o2mycnVF3gS4ODOxACT3LwE2LTzE0OIkn/9l0iQ49VRPNiGElnX22d4MdvLJ\naUfSIgpNLo19G8W3VaXr2NHHK3rmGTj0UB9iIoTQMu6/H+66y+dkaSMtB4Ue5XDgDEmLZS5Muif3\nAV4pdWChDLp0gRdfhB9/hJoaGFeKa19DCA166y2/sHnw4DbVqabQcy49+fWE/iP4Ffnd8dGJF8KH\nbXm1jHGWTJs855LNDC64AG64wU/0r7564+uEEJpu4kQ/gd+vH+y9d9rRNEs5L6JcBx8FeSt+7Yr8\nHHBeNXVFjuSS4YorYNgw7xYZQmi+GTPgq6/g++99iuJzzvFWgvPOSzuyZouLKBsRySXDzz97raV/\nf/8AhBCKN3gwnHACLLCAn7hfbDG/SPLSS1vFeZaSJRdJ8wG7AGPy1Uwk/Q4fuPKRavnGjuSS5c47\n4d//9ossYwTlEJpu7Fi/4v7DD+Gmm2CrrdKOqCxK2RV5f+AeYFoDZX4A7gb2K3SHocLst59X5R+c\nZxDqEEJjhg/32snvf+/jhLXSxFKMhmouT+IDUh7f4Aakq4HVzGzHMsRXclFzyeHRR/2irnfegfYF\njwgUQtv22muwyy4+6OQuuzRevsqVsuayPj7MfmOeBqprHIMwt512gqWWgttvTzuSEKrD66/DrrvC\nrbe2icRSjIaSy6LAlAK2MSUpG6qVBJdc4mOQTZ2adjQhVLaXX/aEcvPNFTv3SiVoKLl8AxQyHVqP\npGyoZptsAjvsAP/8Z9qRhFCZzHwK8T328KawCh8iP20NnXMZBHQysx0a3ICfm/nOzKriCqE459KA\niRNh7bV9iJi11047mhDSVVfntXrJpw0/8kjvEXb//bDKKmlH1+JKec7lSmBbSVdJ6pBjRx0kXQVs\nm5QN1W7ppaFvXzjuuBjcMrRtjz8OCy0E7dr5uHxLLOHXr/zvf20ysRSjwYsoJf0duAJv9noS+Dx5\naAVgB2AJ4GQzu7rMcZZM1Fwa8csvPlzFSSf5MP0htDWffgqbbQYPPOD/Z82C2bNh4YXTjixVJb9C\nX9JW+OCUW+MTg4GPMVaLD8P/QnGhzrOfLsC9eOIaA+xtZt/lKDcGmAr8Aswys55NXD+SS2OGD4c9\n94Qbb/SeZNE9ObQV06fDppvCUUd5DT7MUc6xxdoBSyZ3vzWz2UXE19D2+wHfmFk/SX2AzmZ2eo5y\no4ENzGxyketHcinEvffC1Vf7zHkHHwwnngjdu6cdVQjlY+ZTgnfoAAMGxIgVWap2bDFJI/HpkidI\n6gbUmtk8w/UmyWVDM/u2yPUjuTTFBx/A5ZfDqFHw/PPxgQut08yZcOaZUFvr01LEdODzKNdMlC2h\nq5lNSG5PALrmKWfAU5Jel3REEeuHplhzTR8v6aef4iLL0DrMmDH3/REjfD77Tz7x0SoisZREizam\nSxoGdMvx0FmZd8zMJOWrXmxuZuMkLQUMkzQy+7xPI+vTt2/fObdramqoiRGBG9auHVx3nffr3313\n6Nw57YhCKM5ZZ8HFF0OPHj4e2FJLwZAhXjs/4IComWeora2ltra26PUrrVmsxszGS+oOPJurWStr\nnXOAaWZ2RaHrR7NYMxx9tCeaa69NO5IQmu6GG3wOoxdf9PlW3n7baysHHgjLLpt2dBWvms+59MM7\nClwi6XT8As7Ts8osBLQzs2mSFsa7R//TzJ4sZP1kG5FcijV5sjeTDR0KG2yQdjQhFO7hh70H2Asv\nxHUqRarm5NIFGAQsT0ZXYknLADeb2S6SVgb+m6zSHrjTzC5qaP0c+4nk0hy33QbXX+/jK7Vrl3Y0\nITRu+HAfA2zoUD+3EopStcmlpURyaaa6Op+z4sAD/ZdgCJXsjTdg5519ttUYvbhZIrk0IpJLCbzz\nDmy3Hbz/vp8QDaESvfaaD4t/000+2GRolkgujYjkUiInneQnRfv3TzuSEOY1fLj3bLzllhgWv0Qi\nuTQikkuJTJ0Ka6wBgwbB5punHU1oy376Cc4/37sUz5jh96dOhbvuiqawEmpqcolBo0JxFlvMrw04\n5hhvfujYMe2IQlv0/PNwxBGwzjpei15sMR+9uFMnvx1SEzWXULz6sZiGDoUttvDzMH/+Myy/fNqR\nhdbu55/hlFNg8GCfwKt377QjavWiWawRkVzKYPJkePZZnwPjiSe8h06c6A/lMmWK/4hZeGEfkqhT\np7QjahMiuTQikkuZnXGGJ5fHHovrYELpffaZn0fZaSe49NJ4j7Wgah64MrQG553nkyude27akYTW\n5sEHvfPIiSf6MC6RWCpa1FxC6Y0f78PD3Hor7Lhj2tGEavfVV3DCCT5//U03+UW8ocVFzSWkr1s3\nuPtuOOQQ+PLLtKMJ1WrCBLjgAlhvPR/B+O23I7FUkUguoTy22sqbL/bf3+cfD6FQL7wA++wDq68O\no0f7/b59o7t7lYnkEsrn9NP9C+G889KOJFSDujo4+2yfV6VXL59i+5ZbPMmEqhPnXEJ5jR8P668P\nd94JW2+ddjShUs2Y8Wsz6oMPwtJLpx1RyBLnXEJl6dYNBgzwUZQnTkw7mlCJvvwSamqgfXt45plI\nLK1EJJdQfjvsAIcd5tcnfP992tGESlFX59Nnr78+/PGPcMcdPnRLaBWiWSy0DDM4/njv8fPEE351\ndWg7vv/eJ5lbaCHo2hUWWQQ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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Using an optimisation method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The parameter space has 3 dimensions (1 rotation & 2 translations).\n", "To obtain the optimal transformation, it is possible to perform a greedy search which is computationally very expensive. Rather than doing this, in this cell we will try to optimize the cost function with gradient descent algorithm.\n", "\n", "TASK: Try out different (dis)similarity measures" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Setting up the registration\n", "R = sitk.ImageRegistrationMethod()\n", "\n", "\n", "# (Dis)similarity measure\n", "# MAKE A SELECTION HERE\n", "\n", "# SSD\n", "R.SetMetricAsMeanSquares()\n", "\n", "# CC\n", "#R.SetMetricAsNormalizedCorrelation(subtractMean=True)\n", "\n", "# NMI\n", "#R.SetMetricAsMattesMutualInformation(numberOfHistogramBins=50)\n", "\n", "\n", "R.SetOptimizerAsRegularStepGradientDescent(maxStep=2.0, minStep=.01, numberOfIterations=100 )\n", "R.SetOptimizerScales([100.0, 1.0, 1.0])\n", "R.SetTransform(sitk.Transform(fixed.GetDimension(), sitk.sitkEuler))\n", "R.SetInterpolator(sitk.sitkLinear)\n", "\n", "def command_iteration(method) :\n", " print(\"{0} = {1} : {2}\".format( method.GetOptimizerIteration(),\n", " method.GetMetricValue(),\n", " method.GetOptimizerPosition() ) )\n", " sys.stdout.flush()\n", "\n", "def command_end(R):\n", " print(\"-------\")\n", " print(\"Optimizer stop condition: {0}\".format(R.GetOptimizerStopConditionDescription()))\n", " print(\" Iteration: {0}\".format(R.GetOptimizerIteration()))\n", " print(\" Metric value: {0}\".format(R.GetMetricValue()))\n", " sys.stdout.flush()\n", " \n", "R.RemoveAllCommands()\n", "R.AddCommand( sitk.sitkIterationEvent, lambda: command_iteration(R) )\n", "R.AddCommand( sitk.sitkEndEvent, lambda: command_end(R) )\n", "\n", "t_output=R.Execute(fixed,moving)\n", "warped_image = warpmyimage(fixed,moving,t_output)\n", "\n", "cmyshow(fixed,moving,title=\"Before registration, Fixed Red, Moving Green\", dpi = 50)\n", "cmyshow(fixed,warped_image, title=\"After registration, Fixed Red, Moving Green\", dpi = 50)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0 = 2733.91151295 : (-0.011247367522158776, 0.22291662197915948, 1.6386809994200457)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "1 = 2673.6432611 : (-0.02784494462369627, -0.30787160833537575, 2.620245158374898)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "2 = 2652.23799383 : (-0.04466714487640808, -1.3696719221827545, 2.8269233625722343)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "3 = 2623.32745972 : (-0.05989246324173654, -2.645497419757683, 2.5941872319830974)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "4 = 2588.17210585 : (-0.07684988084701647, -3.683785835714133, 2.8096333897396724)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "5 = 2556.08101082 : (-0.09504456163161594, -4.323046097155317, 3.339616624953215)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "6 = 2526.46169992 : (-0.1148772751382055, -4.389822245673656, 3.090266077240859)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "7 = 2496.9389636 : (-0.13419886557392374, -4.458262196789887, 3.602201037401648)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "8 = 2464.65479018 : (-0.15331236265558748, -4.546484858186561, 3.0199991350443973)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "9 = 2436.46200082 : (-0.17126446269688633, -4.5364819198385264, 3.901543792050715)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "10 = 2403.93766927 : (-0.1870942024000613, -4.3634535138929555, 2.6914799176898616)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "11 = 2384.52978892 : (-0.20181275596115084, -4.33542982752636, 4.045310218612328)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "12 = 2350.02867525 : (-0.20850800321595414, -4.251558968163576, 3.3072707068514484)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "13 = 2330.62629003 : (-0.21844299808556833, -4.264698900337555, 3.4203463965016256)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "14 = 2310.3349304 : (-0.22843239351339398, -4.227537563176255, 3.393165063095336)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "15 = 2289.87683952 : (-0.2383842478865777, -4.1370491939369, 3.3555113729462813)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "16 = 2269.51592567 : (-0.24836585564259692, -4.086533688106959, 3.3219964550661585)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "17 = 2249.09147532 : (-0.2583084484249927, -4.008663737959035, 3.2486155413454734)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "18 = 2229.37078179 : (-0.26829529453501005, -3.9610643689473632, 3.2295538567924615)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "19 = 2209.19439241 : (-0.2782677196923177, -3.8929418225677197, 3.2001143681127076)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "20 = 2189.46230801 : (-0.2881538173101924, -3.769155143959688, 3.11451298320735)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "21 = 2170.00917435 : (-0.2981290112416358, -3.698845357018357, 3.1111079632060967)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "22 = 2149.98125238 : (-0.3079723146048562, -3.566137451803283, 2.9949942220314667)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "23 = 2130.40952175 : (-0.31792789833086005, -3.4851645765817576, 2.946963812667945)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "24 = 2109.76094867 : (-0.3278631549188619, -3.3722876851184913, 2.934096307888813)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "25 = 2088.31996755 : (-0.33766184703574376, -3.2352616244465624, 2.7889061336954253)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "26 = 2066.89553519 : (-0.34752773391546, -3.0750357759048246, 2.757754276198386)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "27 = 2043.60953186 : (-0.3573952116535142, -2.934048707003279, 2.677433187481891)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "28 = 2019.00325961 : (-0.3673216977086295, -2.826318124037057, 2.6222709950874084)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "29 = 1992.55887746 : (-0.3771563060968801, -2.667347135492692, 2.5354781192350266)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "30 = 1965.02069225 : (-0.38703985266319013, -2.5327261362621836, 2.4645397002929834)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "31 = 1935.40093104 : (-0.3968423700968658, -2.382753779809364, 2.335641244426209)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "32 = 1904.82596132 : (-0.40670121674401577, -2.2191001027548256, 2.3003014387345857)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "33 = 1872.62276502 : (-0.41649978079928673, -2.059576681010913, 2.1801610938764395)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "34 = 1839.64742593 : (-0.4264058329026601, -1.9272607421342227, 2.145609544392996)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "35 = 1804.8557676 : (-0.4362064344212007, -1.7655286764830327, 2.030176283640344)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "36 = 1769.92426886 : (-0.44612910282607476, -1.663705665037161, 1.9591932461649593)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "37 = 1733.99448463 : (-0.4560220743436341, -1.5288183468232672, 1.9035465309640076)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "38 = 1697.55116878 : (-0.4658310752044147, -1.3910085607737581, 1.7662749607061927)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "39 = 1660.85821921 : (-0.4757211073495198, -1.2860153777051473, 1.6621160763179337)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "40 = 1622.18841768 : (-0.48563709293688767, -1.1781403266659447, 1.590734904609866)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "41 = 1582.44454803 : (-0.4955022293969491, -1.0508120984559948, 1.487883805711614)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "42 = 1541.18365146 : (-0.5053789790705908, -0.9309321742679558, 1.3872509948652127)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "43 = 1498.35098873 : (-0.5152353941588856, -0.7961659400785669, 1.2855215586396926)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "44 = 1453.44383635 : (-0.5251310100787123, -0.6995874428056386, 1.1785615215359295)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "45 = 1406.06850552 : (-0.5349678644541209, -0.5733175704644434, 1.0504253466711078)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "46 = 1356.91194027 : (-0.5448367763786498, -0.4418495371102757, 0.9568201627072082)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "47 = 1305.10814411 : (-0.5547469635726093, -0.37906244552805074, 0.8387537452234752)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "48 = 1251.2948536 : (-0.5646491869036635, -0.2848788607485886, 0.7358499873846819)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "49 = 1195.96976419 : (-0.5745756757352789, -0.2088950170224761, 0.6416446252721015)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "50 = 1139.73219132 : (-0.5845331576031029, -0.1645653418322926, 0.5608954555110848)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "51 = 1082.94302726 : (-0.5945107575208185, -0.1351196392235611, 0.5008292468918719)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "52 = 1025.78447594 : (-0.6044860042233053, -0.1010876130964182, 0.4392958946108472)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "53 = 968.681601664 : (-0.6144636217850268, -0.07312977445198171, 0.3785518646275332)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "54 = 911.035839854 : (-0.6244527386913546, -0.054523363924487894, 0.33578229829326606)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "55 = 852.631707895 : (-0.6344406681429724, -0.03643929975354372, 0.29011371699131716)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "56 = 793.630232965 : (-0.6444266438230178, -0.010442538610934058, 0.24399359572637302)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "57 = 733.836968468 : (-0.654394570611073, 0.021911957803475674, 0.17079836335776322)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "58 = 673.468070426 : (-0.6643888672306525, 0.006505562895288773, 0.2008482185080155)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "59 = 612.225153486 : (-0.6743470622766472, 0.04828648776499008, 0.11962095352698242)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "60 = 551.330497439 : (-0.6843448721437366, 0.03798640568664381, 0.13783871750785598)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "61 = 489.859732602 : (-0.6943038865209173, 0.08692592473552022, 0.06177788773099778)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "62 = 428.781644057 : (-0.7042768236831439, 0.035787521574492935, 0.11459935405807775)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "63 = 367.713667374 : (-0.7141334030579917, 0.13200782294202537, -0.024037163057761435)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "64 = 308.386105125 : (-0.7237961228183785, -0.03588947217526142, 0.17122923603487963)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "65 = 252.777899844 : (-0.7325297167077376, 0.26099717781065224, -0.2149076500788816)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "66 = 207.807519403 : (-0.7394051396309214, -0.20333126911964927, 0.3433796322810868)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "67 = 179.932051662 : (-0.7419669340435101, 0.06601042155871806, 0.008973969143019789)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "68 = 146.386820523 : (-0.7469662222225472, 0.05759946290641282, 0.009631847511894505)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "69 = 120.285156615 : (-0.7519653396381675, 0.06025472069317848, 0.0006207291291754069)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "70 = 95.6918780597 : (-0.7569629614763383, 0.04556519399561809, 0.005308738490941686)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "71 = 73.0362684528 : (-0.7619607057634356, 0.04929689106362953, -0.00923756154949932)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "72 = 52.7370444187 : (-0.7669412961190282, 0.016210034425622702, 0.01978754853808919)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "73 = 35.4709789323 : (-0.7718168973343232, 0.07824074592526409, -0.0720673300747605)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "74 = 22.6879328517 : (-0.7753517387228692, -0.1450907293203528, 0.20210782515057268)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "75 = 23.2328936626 : (-0.7759892127609961, 0.006274845293913256, 0.013627769630537911)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "76 = 13.0345728629 : (-0.7783906821098298, 0.04426345162531626, -0.04456428700198432)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "77 = 9.67233493697 : (-0.7799866533677959, -0.0739827863058087, 0.10724672924056293)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "78 = 9.99725948149 : (-0.7803086684159862, 0.00021246315255557535, 0.011941283198896036)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "79 = 7.18628005511 : (-0.7814379676844662, 0.029694379143778173, -0.032809674909217164)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "80 = 6.42269731493 : (-0.7820898291550449, -0.035345406931062584, 0.0517219313637498)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "81 = 6.39856713244 : (-0.7822780169783238, 0.0014980186149175165, 0.0048746750328473795)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "82 = 5.70534975091 : (-0.7828643071716243, 0.012628266471620924, -0.013699653354601198)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "83 = 5.44648579424 : (-0.7832831007840065, -0.014046169376744072, 0.024258792009373916)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "84 = 5.37704910385 : (-0.7834010104278911, 0.002475384823260483, 0.0004980280147887269)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "85 = 5.21587470203 : (-0.7837109740435225, 0.0034576002169779264, -0.003352078836648201)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "86 = 5.12850074197 : (-0.7840098708907106, -0.0011163765082649953, 0.0045376603432755866)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "87 = 5.06607748441 : (-0.7842479600370101, 0.008128888671513528, -0.01346853736470751)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "88 = 5.04832890833 : (-0.7843005478365795, 0.0005128554329254867, -0.0008795780720095327)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "89 = 5.01301803195 : (-0.7844557158449231, 0.00232435599528142, -0.0011761966477929257)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "90 = 4.99409854278 : (-0.7846052707956724, -0.0018507826840805227, 0.0005679389753134019)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "91 = 4.98071711758 : (-0.7847189126375667, 0.007328820903941795, -0.004975599666719616)\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "-------\n", "Optimizer stop condition: \n", " Iteration: 93\n", " Metric value: 4.98124618928\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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zkJrS1yy0YiYVp9ScUnFKyZyaUhxLqamkas3JHjtNnm0KFKbVnfX8uK9rfa1Z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\n1hxdOvX744Lx39n+DwSsv49gNQaqKAcQBurBsX0wOvzsYU3uzOToozT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YAAAg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\nnOMRv34G+MA0O2JOtvvZf3+P2TnWmsZ/X+cC/RAifvD2qTkiXwlWIpIB/xv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ArZVXHgt7IBi05VE/fKQqw5haHWtt4cEteHf/vpiq7Ww59fYsyxFTlqWqStbepSw7lCID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0lc1oAIBt3JCOTUd8bDjLdElOQQL4SA0HskY7jchNo/iWHaH4kXZrM915BC71eA+6pC07YYjcdo\n+dlKWyi6L7oeK5sQcuNL+S03HCFcopfeBsvXAPpsYJDVJznkqqsabV3n8FEMTLERJTZMQpeQ3VOM\nluiBy1yQjJ2BKf1yaJv2ysHCwjQOPgQcuVA89B6uphIjbYJZgPfJ8LOSeZEMe33sNdtvb5q+O8M0\nCMuSUfyHWjs3eVewgutQWyPLKWADo/VFg7orniCT6QSNqQjP4Bo5IiNSKCLaRPlvZiQXmZASdDTg\nyZ+4owWzgk0EKTpCKA2JvT/CH9QwleUZMMqxkWmobOZkkKyFSZxiJ0taVOdnoJSgHDaOUm+XwIzs\nnto2+Z50vDk7mTgcEcKogr2+lMYl5nzDu7lI3vZsnPq+J83pmJS/JTibGHsKU2lht02L6WSC2XSK\n6WSCuhBLE+OEYuwHSg583znpgYFRoPkD4nkZkc7hcWZMpq1bJqU6xYZyuyrL4XTKwnXMhXLWarmM\n0XNziMjGTFVMvWfjMWxXJd6gJD1C8Njt96Ss2h1RNRVMRWA2PUfO7DHHSTNyyJhjyVQ31sKEodjf\n1zy+O8P08kigRV476mdWO2I3J0B3JAD6xMs6u2RFEC3pQm3rFu2kxqhpqIGBJWPS+x7+GAepbVFR\nlBBCsnGGwwDxkBJ7A+RaUxlEAJVLGGP4XGywjGAZFWf0Qg6nivBAs3LqDSZSrkysoeSoDXo2cFFB\n3TLMoIydhasdRu0Ik/EEXddxuQizwxmLIAOcU+iRwxj0ABXecccSlwt8pd0ReWLkXZbJiPwgOYQz\nlCygGr8RZtMZ5tMZ40oNLbwiDJLMYuTzD8TkeHzyJlV6SkNNL5kikjElqZDMdlc+GCcXMnk2q3FG\nmWP8HWIMBHLQycFJAPQ9pAxJ1BkMuUFkbzncDb2H98Bmv8N2t0PX9xiFqJuE8Mb0LsRQh8SxnCFF\nUmuJCMuedjRfPIWvdnx3hkknJKA4jzC/6yp3hk0xMkcmZvyi/HxKeacoJDhiJKLj0QNNoDY9IZBg\nPVJQUmCS8hN106PuiM5awA4njGZADBswlfUdeoGS1q2cQwykiBCR660GAG+ejQNsCwYwIQ4KRqke\nkBtuwgIxIpZGyhK/aTwaw/e5qLbrOsQQBMliLSz2VMGOGVhfCGSAvPTEMyXBNdfEyVE+QxgCmGEt\n6qZG244wHo+pALkdoa4bNgwUqpTPsazB075yElojUexeYjccrmnzBf5+wSubukbFJTh1obdEIn9J\nQXJb4Dk0HlbnlfSog8mAedbYikVywPHmljSEE++ZNiySXvYxYrffYXfY0zOJETYZALaYA/IHVGXB\n8kPKGKTIspgvNqmveXx3homObGYMjJZDiGxoqfWjTGxkoDuBpTFALjRxeTocj0dst1t0+wOqtkE1\nGSGFqBgUTFJQWkIHXRg82ZQrAxAGxn/rlScAiIhRAhl5vZjg0qONQVKRDNJPmGzQZKFJdiUhp+0l\njKLqfcY4FLSnYCHr+VBR7GjUZmPG9+mNgeEMoxleCWuak+lXnMUIu1kmvjwvCWeQFxD/TFtecYeb\nyWSM8WhMbbtrThRIbK5PP48D0RByK3O5J8l0CrY0EMiD0fmgY29Z0oQbepb0ED0fElIMSDC6OZVh\nWOT7EmxPkxBOSLhc4OwcbHCwNg6MpQlJAfIUEwJIgeJ4pDkavB+cV55KTKyKmax69FLyY9nokqeX\nC69LrtfXPL5TwyTZJpn4hlP7HHSUOIN4GigAYQZIwTtVYOXK3X6Hx6dHbLZbjKdTnJ6eomHVx4RE\nXkYQDewcMog7Tq4yyOgwbqDAasrhV9KdVvgmhccjd6Igbq60R4EHJFlQSc2zmhv6eYKPnhtmCoEx\nA+JGAHu+AGcMDONpo1Gbda5TpFIIDhE0TEDGbCg3JSAv4WlUXgKtWyvdvJTAGbLsqWhKu20xm04x\nY1pAw7QAwVtK9dKMMYFBdq/3Cgiek82ijJS07koGFO7wWMaXbmh5pETvL0TeyoX9c/jfYMZqKCcv\nCKXDqNGjENeSAqaxasgIhyRJHvVejRkosYr6go1miLUxOC7se2OlsPzbhXHA92iY1AUVD4li8cDd\nRkKIxcMXtm72YpIsSHF7eZL1vcd2RxITz4/PqJoa43aMxXSO0WgE65ziS169EJaA5ZNXAGMQ5Jkg\nX0Ym0iFXs8cYIJ1LNLMTqQFn76lcgy2QrD/Ies5yGrKoUr6/AmCVcA4xcceeYiz4z7xYWUqkaTAu\nM4IpAThyPR9jQWyAlG2dMp6moC04VZ+E3mGY+5M78IoX46oK7WiE6XSK+WyO6WSCUdsqXymocR4a\nX+ma0vc9et9xzze+biMjTofI/5JR4hpG5NDLxAAfLXwMpN8VzReqB5r6l42EDZTlUM5Zp30L9bcr\nxOgGV5T/r2UwbOCszYC1JAgybMHcNBidO7RT0HPxAXA8LpUl2otTLzBzrMRL+xbHd2eYJAxRaVEU\nIVqxm8XShZbdiieSGBiAPIdSvOx4PKI/djDGYtqMMG3HqGoS50rFe/u+V7lZXXCGxOgUTBHsSMBV\nU7ChkYstNWsWU9YrKpo6yq6YkD8rDogsU/G85HsRoa2++65H73uM0kjrRmWplQEVQRZsJNpGjY14\nNcfDAT6BOvoytoRByAbFToisms+vDTrpXfQcyY2EcYQrTSZUmDufzQZGKRnApsQKlyYvVBbm67oO\nx+MBXddrhxBpBKn+UuFdJyArKRRXpOMsQD08D2dSccBQ6ELJU/nCO7KkC167GrWryVORK1E8Memm\nQ/w5q2Mpc8aBsrRWH7RRfSxr7KB9E3mHhjORUKMJgHTwmwajpiXjJAYN3+747gyTKfd8wa4NiEPD\n0h3RBwUp846es0jqzMhOQ90RCU/yEZGVLm1NKVlyja0WsnruyBoiudWSeRFPQUFoPkhCJIPliUOY\nBAMoSXHYbVZKWgQQVQPBC4tqLwXNgOIT/z97bw5ry7ZkC42YMzPXWrs5zT23qVfFRzhgfAkJCxd8\nDISFcDAACQkJHCxwQCB9j3K+gYM+EgZfwgQDCeHhIISH9C1U//16zb3nnmb3a2U3Z2BEMyPXOa/a\nV+cUW5Xv7Xt2s1auzJlzxhwxImKELToQAYokpnnGOE3Y7/chsmSGu53fE/86mTaeYBiX3jTBQuSo\nhjba9UHHQJjvYKRtyPVfy6fJmhx7eXmJF1fXuL66xn63d4mWFlELtWfQDaIKr3Q6HXGcRsyzorqQ\naW0yLxtGy22VXjOLEbCuw7Vq2/BCyKWgdFIzSUnQbnL3lEJSZ+N6zN00V68GFG9u2bquLZpYq7ZU\nF5e/LLKRsPJ3nIV058o+pnLuGgy+uILxUVlTho6yGMl+EH4pU/M8vhJkenaGaXuwuj7S936cJiwa\nsZBgRQP/jngMEpthCFGM1RspNjIWyiFZ3sl6VhGfiMBV5SdK8RCscU61Vqkj49SAlF6RRNvY0ZF9\nhvEIrn4ZuqZYtEZaAxmHolwThXwcFoK9aG3aaTxh2O0k4jf0fr6IduywlAUgErrWvsjGhJtL5jdG\nvmgSEZBbrlJ7DtA22eSckiAlMUoX+4NkNRsvRQHVGF9U5XmVdcU0TTiOI6ZxUve6bK7N7sfvUPkt\nUhTotIB9jr5w1fMY11ZyQddJlxzR2A4ENZuBVve6ynlX1ZhKRZ6jSY7UWjyNohRtba7jw1W6QVuX\nEw7Gxkl6NPTnG3WYd/G52Q+kY95SI76WSZLjWRomD72zkoKzZhafRB7CFu7mYekDM85Jdih1jSiI\nuKEiM2HopGq+kddBsjSGo5VvMFVGAK1iXFFBLcIl2cKMuykzB16kEePGyRgSMoLYzm8f3mr1thPS\njVaVVIfTOGIYjhi6vom66cL08fSztPtA12HnYwg3hAxgxSLjEeutaIse7Gxumkh4LnEXRfL38qqR\n3b2Wm7jeli7CmJ5huUvzvGAcTzidjpj1ufv1sc0UdX2j8TWj5E0MWkGu1AiyPm8JRpiQW62da4t7\nNDLMschfmgu+ltU/1olsvf6ytkRdAnnJTDQuOWXNklejokXEVpht4+st4dHeb5UHrbsMnGP72sez\nNEznRy3CM5ymEeMkcL7rWsuitpSwWeBxZ61cdZcEhr7H5f6Aw26P3GXv8uu8gJ0Hyd8bWzBZFMp2\n1GIlMr4ht0JiI6ntnDG65udB2Olou+Dhbsr2MJQg/e9WLwnZDZLNLLWAVkTqc7yRrHIS4Uv6Djve\n+2faJ06kHYSL/SXiI/h92PeEhKz1b2aUrq6uPLN76KUho99PAzBtnBnaYn1xtDSOozSDsCx5M0r6\nfFt35DZ+4o6RZ3UbN1a0vpGLoL4SXW1mZH1WPXdgzQIHnY2b8pgWFXQROr2bylJJ4MmvxsFZATAp\n8a2SuJ6dbwhPyXFH57CIIrwOtGpyrIngbfhKN95fj2V6loYp5m/IJiMi9OM4qju3oN8NWrMkeSKl\nSKHkxjUAoarvXtbmmu2vDnh5/QKXF5fSMBMm8QoliCn06RJoXpgBrihVEyidUyCUM1QixxaxGTQH\njLiHlNGkzxgiXQTbCdZOfp7hXNVtmMYJp+GEfghNGoHGMQWzuDUOQk4rCFMEIhTqiNEXpr7cx8vO\nKJcjC6rvOgyDcEqXapAkAieRT47G3z7Mx4lE7rZWLPOMcRJVx1kDEaQXToYWg4Fy14diomFquUok\nC904uk2OEFfVRV9dlaKUgi6vXqKinwRCRfE5KtdgksL27Eq1AEzRZEoIWd53SNT7NSZL7Oy1xEoh\nEUUE5fPBHzhq0qYYrJRDzIjXwnCnNb6ScXqWhqm5HWoYWMjEcRpxPEnK/kXlDS+TKAUp3bpBIWyw\nvVapuxsGXF+0XZxMO5pULbPrfUIIL0SoFsEBAMtyZuMyJERuuVMRW5jL55ESahPPEJZFoczVMOSg\nF99QmBnekIJgE7DWKkmk84xlXlCGgtoxVDssEPJyGOdiBigmcxoBL4mlTaq4ISX7bwtUMAnnZmoG\nV2qYDoe9a6YzSSTRXRG7GiIto9AW7WvFPC84jRMmJ7zbAjN8XLXVFVsZDQHQkH7XdVoT1wwLPkmR\nOJ9z4sYvVYIfOZusTJDi1WfiuVLcVBigz87LZ5Skzzmh61nFA/WZJ0LuM/os3Wmg/RBRTecLQLhG\nOvvO3bgiwaCySqTXGiEISv87xPR7OyzvhNmE1iq4yEQ9nk54Gk+Y18VRixklaych3UnkPImhJR8s\nFf76oDNIpHStFbTWZ/Xq8zCzG5JaK5ZSkBeR2o3Kh4As7kQJRWUNrDgiErIbhOI/sLgPm2gXtq4f\nFN7r+dri03P4rt/eZ1G63TJL5CsnjTbZPRnKoY374OceNg8DDMbpdGqEveVrGSlsLitEZmV32OPC\njNL+IJxXSlrqw63+EC2KSoBqhSctFl6C0NwqUiybDH9SJJhcbQDcahrtnrrc+eZl2ftFXbbi7jn7\nuAMk5UtcsXIBlSb079E/BkyxwB5alHcxRdBisi8EdKzdmxV1W7IqVUbf9eiQ0FlOU5fBqkpKCboh\n6B2TPxafTwy5l6XIxj2vyzYH7+8Q0+/n8NoxW5BqCDwyN56wzJNrI9vhCInIeaUC6cZheStWWweN\nSnk3EN3NM7QODy0kXJmRS5FIEkc9pepRmnYRIT7FrHko5lK2yezuUBWReWLLaDB3AB4a3hC75qYS\ntq4jN1VNy8FatUGnLJiETBSUENtYmXGXSKYYnr7vAAjnZOhzWWYwN01zSsk5lFILkAj9MODycIHD\nYS9cl6pAMGR3d47Gn5leDWnOl7ql0zzjNI+YVG7WSfGgX0X+vtbvjSxqaM+FNTrrTU/V/+OwwUQX\nDAXMyeVWAElTqVQ3htjWurmw5y2kbEyqolCmhrA3Hj+RdnZuwn8xYVMcf27Phpp4oEmv2Oa9rAum\necKyLA1dxsH+wsezM0x22GSLUZplXrDMM4oXobI/aM8C9oVmRk0nYKlgldWlLrQp6lpJhYXBzwsg\no5C+uHYr1rVoJKd69nNS6M4MN0ricthOz35thkbUBjt6t8WkdxNcCEUXSSj5qh9Aq+IAACAASURB\nVAZYMsFlAMxdLQrpJWeqQ+/iZs2wOb9yZimk5itj0D+Y5IeNQ84JQ9cjpYylCPeTFREc9ntcXlxi\nv98pWsuqDWQIk/ze9KZAnvZB7rIvyyza7EUliGHXvV1wll7A7VdgmKbWChS4IWlt4huKMLTnuk4M\nRdbWXIABJm8MYAjauMOkJSrWsj0aJo8UEzki88RgvR/jv6hr+k/EgPUP8E2IbQTbhuI8GhFqqZjn\nGeMk3Y8Ba5P+9SzTszVMjj64lV4s64JFc0O4SKLkhpS1aEfKvkvHJDMzYEnriqIrVwEQVwm1Gzlp\nuU4IfE5R/aG8ej6KZYhXJW99oodEQLnGSHTbzmsqkgHFtDdsP9/ugsQ4tbILa4zIG+O5lBV9KV45\nvzG4tL2eNuzq2oHQgzHsBuzWAUX7rXWqOJnTVu7DuKXD/oBh6JE7i2iRI4zULG6wJooMWCVVlCdb\nl8Xr//xthjjDMzXD5c9XDcOiXIuLCoZNzjeZiJjsHBpFs19YcwiEzzY+UOwO+e1AN0G/GLQ/mBFs\nqSJWQtM2Df9MQ2UE1STTcQpRu+jmF41aT/OEshZF2e15fw137nkaJidmdbJpst26rl5jZlIbzm8Y\nErGCUIXg1hgSKrnhmbKa7SvdS6VMNbEoOVoCYuc961Pbidfik2lJhLRKM0QCJDpHBKpVSMxkDSO3\n6AewRdSIcifCddGpbFvgldoCNnuSiFR9sh2fyve2gEAOjc6asdZMoHah+gJBZ33XYzfsRH0B1tFE\n0hGsT1wiwjAM2O12IinSdQ0BEG1Upy2c7atTfzChvkkbJyyq8RSvFfg0YTQuPEfZVTS2VuXF2pgr\nijXXK9ABNrY236LbHZM0mzt2xv0E4xYfsrhxW+NoBsUIf0sorTqegv4VlZF05oFfh2Fv9k3JDPG0\nzN4B2jbqr3U8P8MUjJLBd9vllnXFvChqqgU1oYnp28KNOxjgvrlAX+3I0fWeYJkcQjMyZffnjW8x\ncXkxTIw1rQKvwy4uyXgAr6v2uZPDriWGm+Myy2hlJuamtIlu/4g7sSHTeSuJwVAXQfkVSyL0qI1y\nWZWrcDLGlzgGawYSNnZ2/12H3W7n2etAk3CVELdpZYkCZIpuSVjcZvdszNqPmvNViyglaEmQLbCG\nQlpdH/w62z3YdbvxVuPhrbYcgQOfmBCCj4e4febSb42Sj3dyx6ptJAEdm/H53Of4HNf3pZRAirJr\nuF7ZnGzDbffgKNSNl/xTapOFiZLNX8ube3aGaZNf4oOq7skiHNOixZwm32q7lfE5EbazuoHCV4ge\nT3/YoR8GUJdRwV6e4PVvpJOX0DqeZMmXypxQU0ZNUopiCKCk0gI1zap4LpFM/JBcqZPLclV0tnor\n6PPNzuB54dJ2eTdWasKCjpS7v2VFXrNIbLBkXEvtVlvAsui2metWXoFOXIU+d1hyhjV0YBICFtSL\nGmTfe4tqX7AR2cC0zE3Nsd27LcbWgn2rsx4Xckt0NDhtw8GQqGj7/KzpB2yfZc/G3biGyATZCQIn\nUpFJik0H7LwhMx8R/MkzIJD3FCTlp0hrLQ0BJehYZ9UP32lHmAqVS5Y7sgAMaY1N1gJfhiWQWsqC\nIPlVZVNMSqcN4Jc/np1h+l2HIQBoPo3TMREeOWKo/nCqh6hFqrTvO+xV6xmAyKiEyA8AP3EpBTNm\nMDMyi1totXhAm9CuSQTjU3RCJdlt7QLlO/IJ42bFCE2diG3XPBsD8Aa1eBaRrVFDS4FnyuuCtcvo\na99aVkebH9DmJwehNXDse/TrilJWQR+UkBIjkSlCaqkJ4OjNmC9bsBZyjzfnmcpaE2lkews4mKve\npG7jxuOnCkYsGgsz3hENMtQ1ZzPrpM9HXXEkT6Vog896b8298/QFkvZWGZIwm3SA/Va1bjAidLN+\nXe7QaUa8bbLxWWyQvyaMMqyANyNVIcyxWRtNxvd3PNm/8ePZGSafdMTeqNBC84Wl6623/w5kYQV8\nB621/d0iIayopxtU71szDytXUJXShMijkKMa1nKI6jshEJBdJCPPDnMHYsTN7/HMuFmOEQhOwPo5\nlcMQIOawLLgaOk7YGqVNdTtvP8/QSyRGNy6egzgp6zBd7E1hL2mxrisntsuVU5hyI6E1+4j3BHed\nrONKCZFO22SMVjOEFz2kzbhCVGm8o649J5saFkF1miAS2S0VQNIN0kadlMNnmOEzo2Q1eV3Xtw4q\n4WBmUE6bll5E0kQj5yzKB0TgBFEc0JNH97rdiyXaWtkTUMC6LprUz9c+npVhYsDzS4wLMM5HdlXj\nmWaVFU0q/i+HIajP7RG2aw3DILIbXdfgvXNY0mxQZG+l15jk34RuKwjGk4NYW407ef3kdbYAEAxL\n/FaXx8aYmvtjC8vyYuReqS0Q/V1W1BUJcNYOLVxVlpUMxWFjmLZpCWEcKezWqXX2oFpQCR5csIBA\nFG9zdxjijrgxDpybudrLumJeVQNrc53ioiFeX3PeNsZUDCI15Qm7PtIES31vgiSd2obmEsrhObUz\n2lyEoyafX1rMLYhyaMT/xoVF69+nBbpgaJcVbSMeNzhDUxR0xkCuHNBymeCGVOR6iqtnlLARfa3j\nWRkmsCAbm/wbfwPQXCYLi67AkDdvF7ukD9Z5J61VSgl912HXD1Ii0YVSBYZzWIUZXapSlZ4S0KG1\nmD6r+rd8pmVp8rZuiAC4mLe+J1ykfhtQlxmpYPx8VZ+hGnIIoEhRawCJrElkIL+Nb9KGBQnZ+69t\nLiacP/5rbtgGmXEFIblhkHZMQdxMEWp0JTxUnpK7K6zXtZaQFGqRuDAuG9cMLUfNhqdq8KGNFz6Z\nOw7P7G9n69bzjs6QqpDQn1nkOs3MKO2GAf0woM9Zuy63Z2z1bG28CH3uMAy9cHMaxUwI2lnwaWy7\njxstQpM48TSLeXZxw69ZI2fH8zJMgE4e9vwR0lXoOUShf1niHjbDKMxGm8zyvUmYSuSoK1tfX5CH\nnN/cOSYT6AK62m26TkRUs3gKg1wPW52T3oegnKaICL+mluxoEipG7G6IS19kxoUEBOCJgVWMecqi\nAsnsHTRiK6pllZwmSXrcGqBo0I0fIeXTbFjd+JgGFbdMccsFS4ncNRMKJatcR4s45egSGeJcS8tN\n2ywo9yd9YWqvEjT81TaOOMwSBAAosdske0mLwH36FYMvyccE/jebX0TC95h65G4Y0A2DqDr4g5Zr\nSzVhxerFw4nErRv6Abt+QFYlz5ykNCVSADWWvwQ/1nrzMUs+3aIt2WspbVP+isbp+RkmOxQ9+SMJ\nhmNdNd3fQBW3iFdLRITvLM6R9B1o3oZxfRc3w1MrVlTwzCh11ZwdIxOT5xvVyh4FWU1VMfA4QDOK\n9jn2GWZcrPwgU2tiGKNOkdcwxGALRCZeQCEqw1FUz7qU6qFju8ZlXYI2kY5R4FvsF7YgSerowUnb\nUGvrc+tFZ9nH2dIH3IETd8mMnIxJAlFAkJvnqoS3bUBcsekZGF7r5HAiJCbnVSIwam5wErIe2Izr\nJ9cQviJfZVrmDQGzu63Wm2437DAMA4bdzhUd4onjvIguJ+s8yblDp9G23HVIWt8XrSxBiXk1+qwu\naqaEFSJ6txRpAfW3gF4C8NwME4UFgjMnw3igZXGxOJswhhxs0mVKqKqsxVUmU9cLYkISjSHUqghE\nRLlySuhzh5rlM5Yq+VIpSZ0ZxV1bIVnh6j3r7Bo5GBeG1xY31BM4G1cesMlcysZlahZJQ+yBh7Dz\nxHESQ2WFra0XW197lUYpKF1pkrZmhOLw6wnle+F4EuD92Epp/fmsPx4Zt0RQEj954MCiaZZwaue3\nvYFrI22zckqxvZQjaOj9Rs/MmKBEAJ+ZHAY8Sglu90qmB04bQxc3QEkZUI1uS9hVBJsV5Q6Kkvq+\n92Jp67IMQosysiiYLusC6yfHxKJnXiRLO9dGalfro1OrEOFxeeh4QSkF0wq3tJBS1y0XCnPZv/zx\nrAyTTZBzI+Buzrp66v0yL9iD3K3SLc3dEFsBRNoOuuux6wcwA2OZsZQi/IwtqCTdYS0aZChISFO7\nPlIRr8Y1GT6yHTf696QIoJFCjTBhZsn4JSWmiba7XSB7jVdJ1CR4U+gdBrQsYud8FG1ahC7VvInQ\npYDcGqrZ/rx5NiThaSt+rmvTuTaXLCpwxuf2ycE6ampcqoe5LTLZrE90u6xlvJ7C0Y2hULuWeE2R\nrjYX2Ytr46Ilc6XNha6oKqdi7ZBsI+u1I4lEKnt0qfOUEUNYxp1Ny4xZi2vB8E2h1oJiWVadPstq\nEiaqTODlKG2cZY4VdLViVVXWZVmwzAt4FSrBGncmxY1f43hWhonDv3EHsx1otcrzSXR6LlXu1ir0\njQzcHKRFqcOAw7ADMTAuM+ZlButiSvlMbwcMWlYv6bC8GgJJdInb43YkE687LHT70ZwIc0mNp7Aj\nOW8U66k+k4bgtAt98mt5HzVOKCYIcnMlADTyOBiijba0LmJbDAy4suJ58qQ9J+ND8sa4wBe8kO+f\n/t7aLMUUjHhPZshC+uT2Eds46720qK4ZKrnZ0ojHZsh06Xp9MH0aiADb79Xl0jpL4SoNQSs/WNjr\nCtd1xTLPmLWLDQBJU8ltk7BUGA9WsGTBSxRVDWIcS4jBcmpDN+tlnlHW4vdLgFcnfI3jWRkmP3gL\nQM0YmPD+OJ4w6YOgTjgam66FaxMj05OknDD0A/bDAEqE+ShKmHUtSJAkt5q24vY5rV6lT+uKRd1C\nAFZ3qzv1p5e/WSh+Tru3ZkCYGxqrFGU1DHFtx0QmsLg8nq5gPIhO2OjctUW+8X8cqQDbCFdEIfpq\nwMFnMxoRuYWb3nxvCKhtFGbyTbeoLUiDrc67mVGF5Oh4IMBugeD3bASxozWta5SyEUgSuSEvve8k\nldxISKJwyhVEpupA7drNjLsRb+gsGi9rHFq09k5cq0W67ayLdNxRUbtKhFolDaVqRFcabBSfJEWN\nTj6rsTPV0Jxl/O2zJdVCa0jjHPqKfNOzM0xxftuUtdwga3w4zbPkHFUVP4sJjqXlpNiCy7lTTmCH\nlBOWWXiqdV1BIC1IbYsoKee0LsknwFpLQxGA80zmqbVw859xfObP0bWS10TD0FxF2DigiiwGR7K8\nlS80ZHT+mc3F2eT9fObyjBAnexVv6wdzyigpyNNGQ6XvjW4m9C5UAcXdLGvF5C4ZWtlFTgkrJQDF\nCX9zNY38d6Jan3c+2wgk7yo5mvOIqj4vy9KWTYHsQW43FP2Pu+ssqp5F+cAU0C0Aj4guq3YN1vmY\nNYcpaoiXdcU4TZjnRVC0fpZFXL1HIDOgtYOmFNFp480aehWadnkDel/PMj0rw2Se/GccGJlcxRpX\nqk+NNqFtd968U12aTElCursdOspYUpUK9rICMJ8cTi4nJHTodBFVjzg1Q8F+ftu1I9LxWby5AfvH\nDENMciSPQH7urXBX0dwrwToeSMMWwbi8qxmhkGxp7kJWg9pcmjhs5MijWStsjJOlU9jvTUV0i9Ai\n6mqmztyQotHCTemJKUbm1E5DzUAkO7/xQYqCKCAFJ7spgTO0iw3B9LAcUZrpJR1jVmL6/L7tQrS8\naVkWEKRawPTEAUE6MQoqJLog8r7rRThPjd+yFqy14DiPmMvivFfj5cIGxRUrQzLHEqFnlUzRc63a\nkYU9VSC64F/HOD0rwxSPDc8ErbtioKwF0zJhnEestYA4q1wJNmjBurpaq+XBEitTxlhHjPMkmcZV\n4QdR+BLXgZL9HBYftlxII+rRpEw54hyrHWv34vfo5C1kQtnC91c01wnY1tCJ8SBvZmDXYSU24iaF\nhE/LbeLSSheCsbAJbeZRDHWCVYd9Ynj9724dEfOzNotbLUsi2kQwjb8rVv9mht94LB8noJj/nGSs\njYuz+wAQyG7dkLqs72F14ZKfD9AmAraxIKhUMJoOU5iLgnKK/9IVJ9WgmEJqa0IgtZmiaKHpKnLx\nqIu4XeM0qjwLJOmyk56ANpc3Rj50oi6lgrrkfNayrs4x8dk8+RrHszJMjO0ibiUZ5vdDylJG6Ty7\nnCaZfLCKb1Zfv7h7xEALZWtB3Xwc8fT0hOPTEWVZJZ0AQM3aGUWNknFKDGvwqE0iU5NSsU631s7H\nReIAR1rWFQVoLqAbh0A+ky5mr+cK6EQupBGmnnJgBjKgEUNJ7rqgieSvpaC3EozKYGW5IjGeEiPV\ns2vGttuKjQsHA5H1mgzJVGxLIyqrJvbG1WTXRXKXS1GhmU5srsN/0M2quXOAGSeAE5BLDS5g8vlk\nPQeNn/NPUs5QuCkZP8MdItEkKIlXyWNLunH54udG8gMQIUJNqcimJJAyKAELzVjnBadpxLLMSCnh\ncDjgcHFA7rO7e4wS7gGb51lUHmYt6jZGS/p3HNPv/7BFGaMngEyGZV0xzhOO4wnzsmAo1WuvHAME\n/qVyBbFKeJBwCsuy4OH4iMenR0zjBF4LSA0cbGIye7NC6fyrnTxSSzS0ZEUCJI+kFBRvo9P62TkS\nMAOi5Jedz9wUWVtNetWQSqWQ6GcuDBhcg7GIRsOI3s2GS/HmnLdD3aIT6Pg5TthsuM2lZN1AohvL\n+B3KCLZG7A2ILiRv1xDzZvxikqpsBooQxZ+FmvPN2JRaVES9agvyUBdgiC4a4nMiH6ZAYgbTngu1\nHCNmcCXnlqxji4+TFuO2a6qgWhofahzTIkGcoR9wdXGJ64tLDLtdQ78ax+TWuLh5Bhsp4ln4LN9M\n/YX4GsezM0yCjKKLFBZ0bRK70zI3eO/vJZ08TXqDK1xnB0myZQtXPDw94eb+Dg9PD3g1vUKfdo2U\nVYO0WitnvSZLoOt7EZrLuYmudUWg9OKwenXXQm1iuy/e/kxni9R2RjCjQNHL2WKCv0PmXkvkhC8W\ne6nlNTm6sJeGMY7Hxo3WRSkGtroRMVPWXhdcvXAv7cPg6MeQrC2y+MFmWMz4Gg8Wx6qlkIT7gN0r\nqeSwGIPE7T6396iL1txnapI2Xu6hHZnlkTU3W4xxReHts7NrSYlAqsfNJJFiquJiU2E1SgXTsmCa\nRjCJNPH15RWuLq+w6wd3Z11+5cwzNq6tFhGImxcri1IUG9Dz1zielWGKRul80drBXpay6sTyN4pZ\nSuSTU55n27FMwXFdC+4fH/Du5j0+3NzgzTdvcN1nf5ilVI2qaCRECdlhkAryoR+0/CA5b7KsWcXi\ntJKdbOGKlTm/n2R/80XDYakrLlHYUxnuYsSx8u8dDLHvsNtx1QWNgG4MuZy9zvkmasbHFDFdiypO\n9vBhG8PE29fZNThBrxet2M9f63lj3KJL9Lm21/Y3ssiavbbpNpnbYwglGiebI3YDHE4buSuv2dTP\nko2vusF2TgzkgoKtEWtqiNjcaq4ohbWh54jTNKJwxSFn7Icd9oOUtoj2fAxo2Eg1lAdmj1Qv6+Jp\nCxxviLCdOF/oeFaGCcAnhsgO9/aVk6jMIHNlwsSzCQJ9qAz21tCsIdkyL3isK95//IAPNx/wdPxD\nHC4PQM4qR9tcOEqEnkQ2drfbYddLGYJogZvRSa4HldatW2Dowham36NBhkAoN3SorqT2yLP9mHwx\nt5nmTQYAr+xvJuV8Rurfg3Hi8Jmwy3EBfrTXwt7Kjiw/pzvEfpJgFNDsV0MvQQ8qfIYR9bHBJcV7\njteDaDDM9STpWMPkciP2uduNjpAoRK54i6LaZ3jSRLsem3MEkPaDMyPUdOLb57UopszTdS0YpwkP\nDw84nk5Ypxk4XMgGaO938cFm5CPSNV5zWRZXFmhBjTYLWmXelz2enWGywx8C+7L0CU9o+TSZcthV\nWt2VTX4CHD2llDF0HagyTscJN3e3+Hh7g6fHR7x8+QLdjjy0LlnMQE7SLbXrO6+Lyhr2rWwcQhP8\nb3Eh41XcHGxh9QaRVDWo264s8q9RmgmNSbNbbBM/JtUxmyFvROz5uNr3lRnJasNgk3qLrvRC/IvV\n5bKW1pvzc/3kPttZt0mk5pq6UQpRRH+7dR2ugYrW17ixSSQ8YrNCgEYn7Rqa8YljqMhUz23PxHm8\nMzeI1Wi1VAmShg05o9POMWak3Bsn48a0ULsylmXG4/EJN7e3eHx6wjLOakn0qkL3FLBGJHUOt0oD\nQlkLxnnGOE9Yl9UdCLkzAmP77L/k8SwN02aXdYOvRikRUqdRjp1IksoCM1G0Zhqii5Byh91+h6vD\nJfqLPdaPT7i/v8fN7Q0eHh4wTRPQZ1fJBLS5YxY9a2v3BCLvs+bicEHsTBo0FiVp02Z3FyNhXIUa\npdrKMYRgl6MZPBsVdnH6uOv7QtUhqsq7mconndUlGAXlCZn2fmpj5kbRNJcCmomlFMkey5mxsSJY\nanahfY4j3mDC9VqM23M3M3BRBTHLPd7LVuLWxtR7PlJDZmbMDOnEawLgYnamcmBo3M5hxsE77/gc\nya4UIaCINxEyzsHoM2OZFtzd3uHt7Xvc392hJNZW5MnTIczoGqneEJhyhhDENM6TRKhXUbqwzami\nfta4fqnjWRqm6AIACG6OSU4kdKnznagmaA83SxewnvYNdnc547Db4/WL17g+XOI232EaJ9zdPeDu\n/h7TacRwsQcgMqnUCVyW5DgR8pIOrTLB2gJlheeirCkqmC1R0CZ1y3Q2JNQWsS1+AGBDCGxJgpth\n2BLAEKIzVpCdGxDW16y1oCNDU2Fx2y6MxnXBFDvlQlH9fMrVGceXEpa8uL5VeIC+qyR3qeEGzCJ3\nCRKMyCmhaoa3Ixd3+Rp6NGNOaC5orVVRzBkxzkHgTnkhMzj282eYK3m9l8mEgWcYBy0bBEf5GYha\nALO08DKMT+StwZO6zVwqlmnC48M9Pn78gON4Ahia5yQUgdMRenikk+BorDJjKQWnacRxPEmn5GrI\niqTgOaD3L308S8N0Tno3yG5kpya2cfO3Wap4USkhUfS1dadLhKHvcX24xOXugC5nzOuK++Mjbh7u\ncBxPuCovkbsEQoeaZcfsUudJjNK+XLJrLSeoqjqhyJqujhZ6TSewtknruoKIRFecm2KAtbW2xSR1\nW2heiYqviaHaDNJ2NyQbGxsvbNxFd/FiYiI1w2ENLMUIAWKcFH1psegyC58xL4uofTokknvpOvak\nVHMP4xJvrI3ZrU+DG5apz5oPZTlPiVJwS8/QHlevfWs5P+SvtI2u2TqdGWqlG1+k5l3Jducv0Vwy\ny1Iv1IzHyitKiqjKNMCzqj40l70Yv3R6wuPxiGVdMCQJqPRd58avodY2xy1vjVnQ5TrNmE4jpnGU\nzkFa3nNu1L9GZO7ZGSYfSGok8FZwLEwWH3SyrR+xCaRNSIbWRalbNvQ9AKiv/4j7xwfM8wKCVH9z\nTg1thUkFwBFDiV9BDCwlVTW0yF3KqLVgToueh5WEJ1+ctkD0R0FhCDs+AZW219NIYJUDSW1BWhFs\nDu6UDp6+N/zKzhncLmOEoIJtZpTGacI4jpimEdO6eAqCpSMw2Mlf76ttbuDZ57L/y25fY5qIuUMb\nV9WeqaJnQ5COXBN7tNOeuxtDEtUD55o4BAuIPJKWU0I2xK4bhBs/nWqGko1CIEpI1RJpVfwt05Zz\nSgRUYKkFx/GIu4d7HMcTaq3ohw6X+wscdntkpQuikiep62jnYpIAzbqsHtlbtHPxpyklX+d4dobJ\nD4W+YNb23cENIdkxFnPbkkH39hCbxhG3SZwI0E4UzCyZt6cTjuMR67KIsHyXfWFEVwaAR+ysOLPW\n0KDQOmVoq6OdhX1BUjkO8tqwomSrAyNFNhv0wG0RykuCQUbga9TFMPS4cYXC6wiGM8j+3wySuT7h\n88UdVKOk4nzjeMLpdMI4C6eRk5R8xIgT+h696gGZS+m8zpnrdL6ANhsB2FUsmzSKjoQaEjtiKN1I\ngESSzxbRYfx0587U3epVW6nPWXIzQG6QBBGv4sqy9tWz+VEYiVjE2whaqCvtnIyXpCyGFGpQHp+e\ncHN3h+PxCGJgv9/jxeUlLg8X6Ic+PAd2Y2jz2us2mVG4YF6XTxtdmn8pN/5VeKY/1zAR0T8C8G8A\n+JmZ/2X93X8J4D8A8E5f9p8z8/+qf/vPAPx7AAqA/4SZ/7e/gev+s673E5hOsKgLfGnWWjGv8kBy\n8ufXOBiCtnp2ugMMNBlX7VK7zAvmRWQnUpKMbiQKvEprvtiet4WA4f3AkoaNrc1R30srHyNRa2eV\n4SJYGzkQy2wmtElk99OiT/DXeBeWuLS5ZZQb52l8W+EaXDxFG/Z9MHbOAQUeaV5mEeebJkzjiHEa\nRXKmVlQqzeUxYy6+BzrO4IAWRFp3i9Ca29WMVCPIG2ENRVU2Lzw4oveSU5MEcRcRkqNV9P1gtLwl\nUllmjXz1mps2DAP6TgIqAFoHHE3qXZZF+DpAVQM0GoskKQpaN9elrGjJwv/yLzQN4ng64vbxHuNx\nBEDY7fe4vLjE4XCBvu/bBmNN7Ox+QZtNoFTNt9McpjZmYS2FDf5LHn8RxPTfA/iHAP6H8DsG8MfM\n/MfxhUT09wH82wD+PoA/AvC/E9G/xMxfLO4Yd73oqpnRSSkhQ7Jyl2lCLcUr0b0ZodwNoHkqpHfM\npWDRiabkgizeIu/MkO4VnMi781rmrQW3cqgmtwVmutekgvI5tzbZQkgqqvkMp2IROm6/QK41tKQK\nfIm5quae6oKIrq0ZN1tUay3olZ+yyJGLm9mYq5/F4X1lbTky8ySGaZxnkZxZpM1VdSQkhysYMKNo\n8WpWQ03J3HPyBdYy0rdGoISOM3GcoG7KJtUgjlO4oYYomxG3jrbmXFrEdTfssNvt3EBZCyYvkF0W\npCU3Y76uWGlFKQg1dYDhWv+OZLy7vseQO9S1iFDhNOHx9IR5nQFI8e5u2GHoO5EXNjsS5z6cGZOW\nZbViHWdM44h5nrUJAZphikgxuMJf6vhzDRMz/x9E9C985k/0md/9mwD+MTMvAH5JRP8vgH8VwP/5\n17nIv9Sx5XMByGK06I1JmFauWLQZAKHfDLxNUnN5iu4+JuTV59w6pegs6NeQuwAAIABJREFUMMOR\ncpKIj5LQRj56EWimsBg0z0m7XDREQjpJWgpDKdt+XzGc7vlHeuaUcxOxp3ZPcXj8DsNnNnShLogn\nlUrAIKvhFLeiPX5CizJ6Kc66YpomzPOMUZHSPE8qr9EaR65yA7C+fIt2jdntdhj6Hr3erzULNT0i\nu+/K7J9p79+oBEA4w6KunLltiRt6dLKY2gBF0td5SDR9b8oZfXdmlIZBs/sH0YNSpOQqApo+0i0L\nlizXu2oZiBWRl1qQSvIsbLv3Pncoq1zTuq5Yphkm42v9AC0gArTcOCUhvDjYhO/WecbT8Yjj6Yhp\nmn2ztSCBb8hf6fjrcEz/MRH9uwD+bwD/KTPfAvhDbI3QryHI6Ysen7PvcdELb2OLwyJ2rbLfJqml\n7XulfSJ0fYeLwyV2ww5HOsp7syxW6pVcTITECbWSdiCpmsS4DTFbODjFBQ8rqyjSbkoX+bwo0qjc\n+BGCNuysnn/Ezi01YxQ/03kn3wllrIyHMVcOhUBJi4pLK4htxmnLQUUD4a6bGqZJpYzneQ75MoIe\nK1Wsi3BuZljsXodhwK6s2BVZ+H3ff4JqrPEAWFxv48I+iZQB7XUQfoWCuN+GAjDc7RsEwKzCbpqQ\nm1Nyt9vcLW9FpRncUBczIrdEhL7rMARjWopEZm3jWcoKKgndKi59LQUrRKLExnMpK7hU4aKGAZQz\nOJF0LKaE3IQTlK/KTWSuMtZlwXE64TRNWFVi+ny9fM3jr2qY/lsA/5V+/18D+G8A/Pu/47VfjeKP\ng90I34rKxd0GUr6HE0C1Ldxkew0zKgFM0uJ7t9vh8uICu90OuVP/31wxzZMiVQ1IKYU22wW10nY0\niFSIPrlbyHXb7lo4mqXxAOdciZHCZ+c193MzHv5n8vbVLS8oiKAZ+lKjXLg64tiaucjpqCyKRnqO\nJyG613VFUYlYqV5vsiTMwtNVqkAhpCLZyIaqvE25Ki7YTaQkyouxYNoTK9k2ocDfKmqWhqPb7PEK\nVmllwDr3blzAAKPsPVl1u1s/PM0507SQyuyuvLudKXmTVHMzSyno197dvUU5T/ubu4EpAVXq404h\nisa1otsP2O92TavJ7hUq1EctJy6rpyDjXnAaR0zTFHSY2po5D2Z86eOvZJiY+Wf7noj+OwD/i/74\nGwB/L7z0n9PffeYkZz//PsaAjAymzSJsRslULFsjx5bHRGAqjjgYreWz81Qk/v7l5SUOhwP63eBS\npSlnlenVnRQZXeA9TGnAFyaaz28RrHNXaF2lS8aiZLF6XvYfHceGepgbj0SQhE47YvcV47kY1orI\nXEHj4hozYUjI3Dr7tBits1ZPxSJw06zRypN0Q6nVzwHjks9cJQksAIUsuCCu9roWb77JzOCBkTup\nSSxhnHwD4BZZkrFtJD+BkIlQqSq5fz4Jtz97OgUBQBP5M2TUdc1AedPRynoPUHe4yfKKakDn919z\nUeMW0AyaXLJ1MKGUBFFOmqWtof3USRuoy8MFdsMg0WTbPqiRd5torM2HUjFO4mKL5EmBqQr4+3/f\nx18CovyVDBMR/YKZf9Qf/y0A/49+/z8D+B+J6I8hLty/COD/+vxJ/iqf/GdeVDit7XJt8ULRUiQk\niyUrqmvTnAByIre6QZBduOs6XB4ucNjv0feDFky2IsuUSEsLCJkZJWWUpE0TIVEe1utxzSfdRTdG\nSUncVa/TuKrk/I5JqeKTB75JDjRXxV/W8nicY1Lkxcwu1K8Dp4u7RZDO81xs912WBfMkfNI0jpgn\nMahc2XvnRUL6/PH7xuGLqUn8uhHTBT3UAWDR1rLOyiYVc26gLKBhpikpGq6ojSZz/o11kMjfw2xE\ntLxOjAttNLUSSZcdrhUFwYhy3NxqeH7N3QaFxEd9Huva+ruttSCtK5Aq5nlucyERct9jt9vj+vIK\n+/0eObcymWZYzOVu/BLBDNOEk5Pf1e81+LSfpUX+yscnD/13v/Qvki7wjwH8awC+JaJfAfgvAPzr\nRPSv6Kn/KYD/EACY+Z8Q0f8E4J9AeM3/iM+d17+pw3ZfBFdHd36r45K8GmnhZA0JrG5NXk/bavmw\nqwMyGfq+x2HYYdfvXFnQwsPqH3kTA0FZ5EaN0IyG62orL2LZ0caZiGBcCYSvuQSN5FT75MjPPbEz\nJGKD0TSr4YhQr1LfV702zl08m6x2IluogMvtrosQ3eM44ng64jSeZLKvGtFSQ2GL1MYhEv2G1Bi2\njwi6LShYaIa5WPZ7ArDMM5ZlxbKsmOepNYms0a1rbrwZAo3rIZlkLto9t0fXylNsY0JoCOCSJPoQ\napV+bSb6fz7+JmO8iQWm5MS1AlTklDHnBaWs7op6+gMk0bfrOk1N6HDY7/Hi6hoX+wO6vg+ih2FO\nozV1ZRbKoqwrplm4PwsY2OtlpnAw1F/++ItE5f6dz/z6H/0Zr/8HAP7BX+eifh9H41/kJ4PIyzJj\nnEec5tFJPxHC35Lf5/s6qZHJnTS/7HprUhjkJYCAshrqWjW72/OCHB0V3R21jqwU4b/cIMAlMIyn\niKQzAI2mGI/S7t8+2zioxj/YrhpE8pSQMS4GtJUUkXvbKg3In6wv2YJpmnA8SZRnnKamd6UvNtTA\nalGtkDWpAYhEvEX9jGuRkhxt7V5EEjalJAJns/T4m+a5bSQB5Ui4G6hohoZIXDozvgkiceJFqzFQ\nwvCOx5bO0aXcxomhiZwasNDnHJk443g4M5iUqyPLFpfzJhYEtnYruqVzvolgaSJCF/R9j8N+j8P+\ngF0/4HBxgavDBfb7g6cpRMRs25DwlxIZrlVbRM0zVuOX7KF+ZdLbjueX+c2MVpsdc1MqmJMklc0L\nZu0Lx8yyyxCBeQ0RMdvhm+wEAZJs1kt2L3Uqk0sSgVmmGXPfwxo3GndUanFFStgirIx1XTBrGylH\nZix936J0RSTXzeBY2DhGleT2WRGDfO9trS0fx3dzCDFq6Edr3WzErGA15iUZgDCUVmt1wbJx1C+N\nxNm9+lM4cxM2iEletFUyUCNTwEABVlpVrF+y35O6POM0KXJavAi1Pa8UFAXYeaVYorR1TMPHh79F\np8iXOjN4LSgMFGqI1za76CdIJrekF0i0jpQo7zxfrUsJrJtczhl5yZLOYohe72m/2+H64hJXhwsM\nF3tJU9hLlYAlaFp7qbMV4G540nHwLHdIOk1NYtRrdNu/kMNzfjw7w2T5MQAQGlV4sSvX1sKprhI+\nTiQKhhWtEh5Q18Z23fAQ2XbVnJA0MscQzuM0TchlbS6X7vpcW05SdOPk86XcwBaqZYF7eF4rxk02\nNros5vbx2QLkMA5xbNjkDRBcuPCaT/gjRXxLWTwJD3pP8ywcxUkjcNM0YV1aMajM6YBAzbVWC2ed\naPSDN6jMJER8YVCSCvxUME0TCLrrL7NH5Nzo2Pm0GWW4I/+ZQsGuoT/n3BQNEZJKfzYjzYCQFHrd\nuWbngqxkyNGqzhMRgOuECM+dRHK7jJxkkyJ31cnJdSICaT4TM0s2OAP7YY/9bo+95k7lLiP3nfOa\ndu9AKPUhBKQsLqekKaz6OqMaTF2zcWP4O8P01z+aEYJD9o3F58aLTMuMaZ1RyyrlAJpFbIYIsPfD\nycqWpFaRU/J2OZJfI7lR8zIhFZNEJUccljJQapvkpuJoSZ8+MXVyukthJidwLIumFFirH7ngdu1A\nLOJtPE7bQI2QUhqFP88nFE18TEv28H1ZV1RmjOOIx+MTTkcxShZQaPlE6vJF/BoXvnI2tmG4EeGA\nVezWFORI+sLqyNCCE8mNSbtH44pcuyooThJJ5nvSZ9zQXERxhAx4zZy0tmKsaJHJXFqXGLsem2OW\nnMopuZZ2zQW569BD0hRqzqDK2ixAi3iTGq+SPbcpVWCt+jnrKpuRcm1QHXB7fCZhbOdzlVIimTua\n0rHMFo2TsWbl09yt+0pGCXhmhgkIsPt3+MriAhVMutvPy4KiiWpW5sAKaY1dsQXu4eNE2PUDLvYH\nidDt9shJEuDKwtpMUArwrDWOpQ1UhNwWnYR9t+2Y4pnY8vEtX6eKS7W6UapuOI0fIqgbhu39t3M3\nA6G350bXkE2UdW05NYuXmABisI6nEcejkN3LvLT6L3sSkTcyI2ldSmK1OzT5sQCkSFI4sE/RGwAP\n9xsKtfNvagb18LIVOckGEVpS6pZJ9GEBwD6mzbWB0gIiUZNTCmiEAVMOCG5Q5QouzUC7ikAqIEeh\nEvHrUidyJ6nfbGBlWTGPwuPdPTzg8fiEdVnD/NB0DnX3Adbmm3DUZne2LovkMGk36aaRzjpmpJI0\nkW/9ssezMky2qCNJDEReRTmTdcWsuTbTPGGtBZk6J2SJaxMoC4tDXD5CN/S4vLjA1dUVLg8X2A87\npJwVdldFS0Ji24K23BxA8oiQOxH1IquVy4io6NwoLeuKEgycpTrYdTVk1MhqW2Y2FikYPh8Pbru/\nj1M4p5HTEjgQ6RKroRs11Lwsy4bsPueNGEogO2kshqnrVdUT4patqQRJGO0rZ9EoCyYEGV/Tbm/u\n3tn9yU2KkVYIl0K9m5Du2BhlD3VCbyeFc4aIpatoJnXJbK5wO6/PHAa82WGYrAzlpqBUg3KVWUue\njFMsZcVYKqZxxMe7G7y9eY+7h3tJJaCkFISS7hw/ohlkeza1Smb5cRoxznPY4Njv2zawrwiYnpdh\nAj5DqobDwq4SSZp011CilqwzRUEpuiiRYEQ6K0lCKaHf7XB9eYWH01HcOMtDWldwJjCLG1dCCoDx\nE7771ir5S6yfUJoCYyPCRSYjGiMpXSiaSmAIKHmUyQ2MugeGB0zX28YIuiA3C1tPaFPUO7EwwIWx\nzAtO6YRZjfC8zCjrCtehtXPbkgjIz0o1LBKXuiwV+V0PEETlQfOSQBreLhLIkJQKdkOXc0MxnyvW\nddPCLQwSZojea3NffcwcLjVD5ufUvoDtfVuDfv7l7cfJEHcKrb67TV/ByOwZ8pVMcq0rIQCVcTqe\n8P7mI959fI/Hp0cQCXKHykOfG0QWy9fSbBlq+KuUCC1imLhU87nthkWji5Kgw6+AmZ6dYYpHjAI5\nrNaC2Hle1AWZwaWio4TUkfJAJWx3RtbqwkiEXSdKlod+wFxWHMcjTqcTLl5cNVLVesOT5UZZ2UPj\nviRZjpv2E4yEbcbDQ9DGUVTTGbLXtg7CtiAaz2LIQXdxNKRQ61lekXIMpivu6ECRV63i/lauSCmD\n1WDWohwPyI2aXb/0NkuOAEw1Ianm0K4f0OVODDYlGPlduWqDANJIXYiQpoSkRt6y0Vvn4Za2cb6Y\nbH0zzKg016xoRrtsJ8GNbUMoBiMlNejqQrIaTDVSNqaw8VVXMGkX3UEFAHMnqgkmY2PjFnXc11KQ\nwdJCQiV2TvOEh6dHPI1HVDAu+j1eXFxh1/XuUhpqthx9m1O1aHCkssjzaprHqnwh633Zc7SypUr0\nt1Nd4P+Xh/ImPpzhH1mUEs0ZjyecxhHrsoiEaZeRy4pcspCCulDCdgYkwqD8UgLh6XTE+7sb3N7d\n4uU3r9DnnUfT4o4boXQzDpKjU7UUxoyLR+dALTExpBRYJrYpDETRe+dFNu6M8kgmMN8Gw+/Lo3lx\nGAMSqZUBTU8gK27mEMU0+KbnSzmh73pQTug7QQquxqjuXJe71qEFjI475XzEVK5YsDBrOY6gQBnK\ndl1uhJg0gHaGnswd1fvh7Rv1dXLRXuuoGlDg5qLFL6oJTGc6W8Hgg9tG0SR+WyOJDZcYuB8AqjZQ\nkfLqyKoWK+heMJcFFcDQD7i+uMTrFy9xeXGBYdh5u/tKIvzX+DHAJHwAaDlPwTovITCj1xvmaptT\nX/54noZJj/NaKEPnXCUy8XQ64fbxHk/TCa9LQd+16BhSApctX+MRjkEWXeoyTuOI9+/f4+3Lb/Dt\nm+/wsutBPXniZe469Nw7RxJD/Ba5MaXFopEpZYY2EbZ4K757Iy4+UxzgRvYiELvqBgXmDTFETdA+\nap9RzrIQvyWOErWcqKhK0KJKGV0nEsS5F6M09L3qKlnBclMGNcI860162Y2Ol6AXMj94w4UZ2vMo\nqCVKQs4vjQrY7bCR/3Fm2OdFxQA7n6O42r7WdQWQhOc2tBpQK9nFwVw9ed+8zqIdj0EHlpr7zIKK\nDFbnlNCVDkM3OM8HjfL1ucPF4YDrFy/w4uoa+/3BW4I5neWbBLVnDQInRspJSmdgpHfTQv/bcjwv\nwxR27PYj+a9spwYzyrJKb667Wzw8PmKaZ3R965wSkYudlAAgCYHadx26lFHKittpxE/v3+GPfvhD\nXF1fIl0c1H3ptBmAIR32UhPLeYn630xSFa4Qx10EAWqBeKVmYJp7Vn0SssIk1r+3EWjojbHl4yRr\npwnaWaSuoRB1V7j438HN+FveluXs9Fo2kV2RUxp9dio9DKhmtuZkkSgzCV+XFK2qDHEO6ooVDHJD\niE+Mq3BiFjxo0rw2jo4a9H/+PttEVF7FEiE3kTFFF0RNNQLOJ3FAb58iz1IkeGBXUblHrtU74XgC\nrCLgqvpTYBGCM6Tadz0uDxcgBl6+fIGryysMw6Bih+3eZZ7Ax4RIeMiaNL+t+kDo/ROo4uuz3no8\nL8MEuH/sY+9wPbg3VSDz0+Mjbu/ucHd3h9PpiN1B2i9t3KCzXcQmPmkeUwLhNI74cPsRH+9u8MN3\n3yGTuC+561rRpj5s4WWkHXjOWpFPpooYyFQE/ucT18xMDvzc1X6vHJbrjBva8+GhzeJE+Nunh7oq\nFK7N/9T4C49IUUsO7fT+rXo+dxldL3lf1r7aVAmWZXE+pxaRDq61ekdZcVlL2yQaLGjuqyIqM44x\nyrRZZhz4JzVKUD4s5+Syxn3XyUahLk5TyBT+a11T47hqxVoAspZOFCKiaIR5KRVEKwhAKVW4J8pt\n8yIxzF3O28egARsGYxgGXF2JMXp5/QL7gxXvbp+i3KOhaNuAEkgjnZaPZu6qZ4z/zrnwZY/nY5jM\nbwfcMCVDE/oSSySTNjgrTscTbu9ucXt3i6enJ1xdXyP1JvAFKMMspw8fVXQ36rKgpnVdcPd4jw83\nHzGOIxJLtxTp8QXfef1S5WrkfykDtLY/bGmxDaqRq2cncjevV8NAceHZLUBJWgih2ZCH4S00nsnG\n0K6SWSvxG+5q3F3jXYQXJjeM5h55R1i7DxXZzzk7SrBseCD75xYtO6GwqJo2dxsb2AYfjL/J2DQO\nLaDW8AxsrtjvDO2ZOwci5148GTZXpJWQUtOKsuxsVu6JWXoLNLRuDyoEHsCgIudpCb0JXZclF4lY\nRPTWFQBrBK2g7ztcX12hlIKX1y8x7AZ3j+Mc2kSniTQ4IF91LZhXTfNQLtUDRV+B6P7c8XwMkx4O\n5531Q2sGCZm8xEBZE6Zlwv3jA27u7nD/8IjXr2ccuoOeqZk0dwOhiwjCBcjO2oNLxfF4xIfbj3h4\netSmlawJb0DMf7FkOFOGtMJeKeI1eRG5gu3CNBRIIFJ3LXAm0XL6RJObl39IlmLgfPXvMludgzFY\nH11HXflOqjOs/aMveGv57WgPzYCYq2kFzDm3jGQzWmI0E5DQ6sN87Jtbbs9yiyJDkMI2JVuQanpr\ncHHlv/Y3NbRkDSGaQqcR044Gg4ufUkKhggVLc/uTbAyRMI7PxnPstHceGJ4KwWBQYuTapCdZtZxW\nZk+IzEi43B8AEF69eCHucojuga1Jy7aXXEpJy6ngHXjnsvrcM9d++8y/3vHsDJPt/MZ/CCdw7jar\noNfSUNPDwz3mccR+v2uvIkvTb26RHV3X4TDscej3IBCOxyM+3t3g9vYWp3HEYbkQDUGd8AQ4n7SG\nnCTrKGKJlNaZ5Vxaw8Xvqiwo4zWcN8MW5Zh7Za5KiotUc1tyUCywxee/188rLJwYEbQpZPusZrgV\nrZrVU9eFtT0VqUFKyq1VdVVIrWHVIICH8MOzhLkgKWnphrTW0huF25qIcsMYGIIzfndrNOC8GlFq\nrezaKYOha/PGq/hBTmynlEBVpFTis4Cdg7SQV1UpiAiFt1G8Ztjt+sU4zaXg7v4edw/3mOcZmcQt\nvtgdMAwDkBqHtkVK8E2mpZ9UrFwxzYtHAM0zcG7KOMjgMXzp4/kYJiWFjewEEAZdX0NtujBX1LXi\nNJ5w93CP24c7nKYR1/WFl0348otzLBE66kDDTpQsL/ZIKWGaJtx8+IifP7zH7ccb7Pd7DIe99wRj\nri5otpZV82DgBG0swWh1e8E9TV6eigKAanFEEDw6uTcEAOUQvuXhADrpwiK18XEXMxg0pPTp/CR4\nEp67ftTQixUsp1rFrbIC5kD2GxfG3Bp5WnLoObQzA2K5NTFT2xaeh+j1+jaDQmaIVFfdEFTYOLbe\nUEMNZoSgLnxF68oS+7EZCvS0Ar0uV7zse/R9hz5LUqltnGybEkTmBqlFGcu64PbDDX7921/j1z/9\nFqenE4gIl9eXzQ3VOW7oL7q63nVa5XlrZUxHLUdZVi3MDq4/oPPECIAv1uBoczwfwwS41Y88BMdl\nyhbR0sVQK+Zxwv3DPT5qdO7NN2/Q5R5LSqL1GiYloOiACKy7n0HpZV1xe3eHH9+/xfsP73F5fYXr\nROh2PXJqshjLvGCtwTCFa3HuSBhnL8bMlIO7INEVIs0tctcJbXIahwQ6G54A0en8r9FlbeMFcxXD\n+Prrzwwn0MLey7oKzFDFx8qMpAtw1VyxlJKX6thCB7MjyFrbond05nxb5NoMvYTXsfFPjXcCN7Nr\nhc/EQOK0MUoUzgegRUHNILKkMRhPU86Mk6UPcGVPFE1Kag+a+e0IT1GX8VSkek85ZfBacHx4wo8/\n/Yg/+dU/w9u3b1HXiv3FAXnXuwwMsTS8cG8BloiqdZ9oOXHLMuN4fMKk+Xsbl43bM3Xy4yt5dM/L\nMAE4H8lzlyNGk6p2nbi/f8CHjx9xc3uLP/j+B1zth021utNE3BapQfP9sMN+t0ci4DiNePfxPX6+\n+YBvvvkGu/1OZFEoKcHb3MxmlNRYnJGz7C9q1y+7O0GSCQmFbPFu3yvnpcY/MbTGbJu/Q+fGiUyf\niYJBkhsnvdZz8tnHyb6HbAyFi0uC2JkMGZm+ufFw5soUTZ8w6eN5WTdNBiIKkg0C/oyCeW6j0CxX\nC4QEwt5fAzPFbmY3gMuioww06ZqiG43WL4K3IM1F5yo1tzryhZoVb6605UoBmldVGUfNkfuTP/0l\n/umf/hJ3t3foux6vicHl5eYeCoryjm0MfENgmXvrsmI8nXD39ICjNopoQYH2nM6TSr/G8ewME4XB\nJZBXkNtCaxElRTHLgqenJ9zc3eDD7Uc8Pj7i4sWly9iKTI+VcwQERkBW/e9Xl9d4O+zx+PiE27s7\nvHv/Hr/47ge8ePkSu/0e6DTi02WApVNq1fokL3/ZUBLk1ffWkbUVJpN5XCAtdgUJ9+GkeHBMWuoB\nNsbDwuxsxlpfFyUy7Ex1c552LnuBEb5O7rrrSBueLPI7m2xqsHNNy7p4YbBIH6ur4e9tRnpD+jO2\nKNDQEQMpDPDWgG3vyZIhpZNOk6iVhS/zoBRz4YJiRDGDQu1a7B82scCQpMmMxC09ocvdxjhxZYxP\nR9zd3OHXv/0N/uSf/RK//fFHzOOE68srvH7xErtOynmcv/R7bs/CxowB7xr99HTEx3uJQltPu7Yv\nVhDSVzNG8Xh2hsnppLDrbyIjEaKbBvg04f7hAR9vb3D/8IA30zfIg5CUhYtPcMC8G1ko/TDgxdU1\n3rz6Bi8ur3B6OOLx+Iif3/+MDze/wLdvvsXl1ZWgq65Dzh1KXr1XnOgatWxfM6jSGlqSFLsgiWIW\nyVAQlQVpTUjBlRAkKANhC99r4tTgtWgTnENobkszTvYacCtkluhbG2t3cWRwHUl2oQzFJGRNDsZL\nJbA1UKbJPi+LjE2J3E10zczFoA1N5v327Lw12i12PiuiG2bhm5LlVK0rkm4GG8VQ/cyixnO164ul\nQrBNhcSNMiNIQNUmGPYcu67zezPZGyYJ5U+nEcenI96+e4tf/uZP8evf/Bo3H2+AUrHvd+hzh8v9\nBYZB2pGTBSVsmidCzp0oZ5qqpapDPB2P+Hh7g8fjU5CqiYi9bQLnm8mXPJ6dYXJXDXGgt7yBLYgE\niZQt84ynx0fc3N7g9uEW8/gLHPoBSXNJRFIMTq4budEPPa6urvHm5Wu8ePESH959wHia8O7mI96+\n/xl/8P0PePX6FTJdYtf1QJaM4U47e0wkrcQrFxB0Bw15NL2WcWTVJIdet1nfVBJqrhs1S1E5CH3W\n0NCNoxpqfExzZbZJnjZ2Vi4Tq/hVOWTDMbXPEqNqXEpsBJly+5fSZ3ZmRU0luKdRXthQnhDOupi4\nRZASUqhtZCCxu2FmhaLrZjreZqRqFW6MCMhVylLWsraGn87TLGGMm/Il1PDLNbe0D/t4SSS1MZZE\nza52ErHsJBEVa8Uyzbi5vcGf/vgb/PJXf4q373/Gw8M9Okoo/Apd32M/7NANg5DtaNyYjZdFDrO2\nFVtXUYd4fHrE3cM9xtNJ1EZD26YY1UWYZ1/jeHaGqS2W83B2cD3sdxZCXVYcj0fc3t/h4+0NjvOI\ni3qJnAhFZ63Bcuumm5Ts3R/2ePHqJV69eInD1QXG21vc3HzEb3/6ET98+z2+ffMtXr1+hb7vpSuG\nuWcpy2ebAVHXcOilzbQhJZtgMYwLvZaOOiCjNX2sVZLneBZiVGPkSa+X0Ra61cXJGAR2is+MOppa\nQYxdxTSDovxVZdWvVpJ36HpFH5JsKgY3e/GuZTMTDElpR2OQtkjqNiUuOWeAWbWpyiYqRoqG7J6J\naFsVHwkgGweTMLa8LSJFRMCqG5CldvicYnHLVjUyKWW5B0UpneYUWUpHNOrMGhSw8cwZS140r0kQ\n/DLNeHh8xM/v3+HXP/4WP73/GQ/3D5jGCfnyEv0wYLcb0A/9hl5w3ipJwwzrU2cbcikrHp8e8P7j\nB9ze3WE6jd7IojGnaMjJjdPfcUy/lyMSoBuDBJx9r3C/yEQcxxEVp8MAAAAgAElEQVT39/d4f/MR\nd7d3eHl5Ddp1m3dFMtT4mL7vcX15he9ev8GPVy/w8PiI09MJP737Gb/66Tf4/rvv8e233+L68hpd\n34t4nPaZK6VgKNIlBSoDst/tMfRDQwpBa8cNk6EERVFZ21anWlFtV18XNzqRdPX+dxzr4s5JYLhJ\n99ZCHAwYNcNORDAab5MQmsxtbHxZrygw5ywCbam6QWg5R2glLWeZ2CKmB3Tr4h1SCldwMQUCKJmu\n9xTupfGOcORUEyMn8g65IHiYHmqAinayicSRd0IhibRlbXwpfFF2I+hFv6oMsBZWzfmCnApqLihZ\nBPIIC3itGMcRt/e3+PnDe7y/+YDHhwcs44ScMi4OB7x+8RIvryWxUjx6if5pVqVsBLoZAOresrS6\nur9/wPubj3i8u/emmWaAbIOIc02H6qscz88w2QLe1Hdp+YVxG4ETYABkO9XDI95//IB3H97h22/e\n4KK/arIcBtnjZ5FUah92e7y+fonry0vkLmMcT7i5ucFvfvwRf/DdD+LSvXiJYb+T0g1mrKkgd9KO\nxxbE0A8Y+kGr8G2RJ3j1t1Nl9l9VGEhNUwkZUjJhMsGh5VLsDpKIvPmCQSKCLcztwrbXW1TPAwB6\nnPMQ/l4jwak1VbCOL+B2Ttg5SRZW3/eiUGB1dvrV5c7RqhkP424aymv/dZd3EwKHu7BZ54RxeR5g\nYG0uYOUopr+ERpSD4GoEQy8IRr7vXeBttWTadUWeE8Z5wqrzpnKVBEvltoTALoLcb+8kUffpiLoU\nMYC7HldXV/jm5Wu8unqJYdgFCZkmqxwNsHm0ZV5xejri5vYGH24+SERuWUNX6K0bF6N955HOL3U8\nK8MkXMPZ4ALuKjXoi+3SYtGnOR2P+PhB+KE/+uEPsb88IOcOSEknET71u0mkdq8vL/FCSwQeasXT\n8Yj3H97j1z/+Fr/4/ge8efUa3V4q7PVtKi8rhqlzsjt72UKLjAU5C2BjXAQdaBIjuJW4xKgXs7YJ\nYhUDMz0l+PllfsdOG21y+qQNAYQ25oHDIwvhnw1TRFL6Wl1BfjMEMV59ry5sys5PxSaTBGhwILuh\nSyltQu2sEM4SMpOK0CGMh9+bIrShl3w0cakqqMg5V61lE5nfs3IhbcvU9fLs+mEQeRcVvzNt9lUF\n8pCgzSVZ0khUkQEsSGopFY8PD7i5vcXd/R3G0yhJqn3G4XDAN69e482rb3B9dYV+6OX9IWjiUbhg\nUEopGE8nfLy9xdsP7/Dh5gbjOIra6ub5t6DQJxvNV4BNz8owAc3oeBQK0IjXWXSBOSxCbZk8jri5\nvcVv3/6Ef/4XH/Dy1Utc9tei6cMVqFKykcKHMQGpSzgcDnj94hUuDxe4TRnrsuD+/h4//vQjfvnm\nW7x5/Qb9YYfrFy9AWXc5TbojEt3v5NG3tvPFSRGNacxBKvpdZWu1JD3YImGdbEFy6zHX9Kqau9fC\n9+3zWk86hPG0d4ocR1Jp4pyy9MWziz5zFz+d4vrEiKSho74uUcKmnAJSn2dG2tFYStoTTXJ/ROYY\nbog2n81bxGNso/FgWZ9F1fq9JnXSpJH19uV+0YIJLSUiefF2zPo20r9XfkyI6dYLDgzM44S7h3t8\nvP2I+/t7TNOIyhVdl/Hi+gV++PY7fPP6NQ4XF8i9co+GdqjZ+ZZvRiiLEN7vPrzHT+9+xt39HaZx\nahnf1DYaCoZtk27zFY5nZZgofAGQ+Y7t5I67QizzqLVgniQL/Ke3b/Hj+7f44fvvcXF5iTx0SqqW\nT9wYQWOE3V7cuZfXL/B+eId1XnA6nfDh4wf86te/wrdv3uDy+hJd14m8CjW3qZXAbHkR9saD0Fqy\nYJyinQ2LrnUC3nJGdlJW6MVsY8GbnbYVw/qpfaK7AbNRDigo5iz5ly5U8hOFawC2hgJtPOyzOCw2\nBIfjkx2cWtSU9F/LmpcPqkFFMkjJJAoThv1cRNK2aeiHzTWuEN6oIRS5KistkYYKa+vxRvA8JVNU\nkKaYRaNySWVdCFgrTqcTbu5vcXt/h6fjEbPKweyGPb795g3+4M33eP3qlVICaXPd5GMddgIwlmnB\n3f093n74Ge8+vMfj46PISfv8iKj8XIPMdif64mTTszJMQJOZBciF6MP+LbuYfp9Tk94AA2UtmMYJ\ntw93+OndW9zc/T28evkKF6qrZB4IzO1Bc2VSl3H54hqvXr7E5dW1dBNZVzwdj3h3+wG/+vE3+O7N\nt7i6uJTds+/8eqy5Y9VVmwKysL5pMVFS3ifXYMRlQxDUwusgN27Q67Z7tR8bO0W+ACMaMxUBv1bX\nLjfDhMB1wK/Dv4CN0TRFSmBrYGwtpJRBQQDfQ/rhfE2RQPkitBwl616yUZOEGnm9a3OBokZ2qRWU\nqpSPKOpxVVAbLYLyQWGOmQBcZeSQzZ5URrhTQcEWzMhIocNuIgJVYFkLnsYTHkKL9VJFs+nq6go/\nvPkOb755o2ipRRKrduVJKeSLZUWRq3Sy+fndz/jtTz/h481HjMeTRjGbMbJxjGvEpsnfWB7Tn2Pn\nnp1hkm6spj8kx+8ag6L5Q+2FjDIveHp8ws/v3+Pt+5/x5rWUluRe5GJZX9d2GuFucpdxeXWJ715/\ni7ev3uF4OmI+jeC1YD5NuLm7xdv37/DqxUv0ux0OdADlIOTlPM8W8VlC48YJCvBbfpQWz5SBojlE\nrdSjcQ8ARMWQeaNWKbfEjv4MMRnmINCmuQIQInCBD4tT2Fwuc4GpFDmndw1pRbc6pBs4aER9DOmn\nlEBaQ5gs7K4IrLDU2Nk1ZNU0Mo6MIG25jOOyDPXsKKM1BHB3OhN6CCfIJMjWuBnL0l7WBWstmGlB\nXiRKO2jDga7rBP31SpRrx9yO+xYNqxXrvGAp0oSSS9FuLDIgu90Or1+/xg/ffofrly/Q73ZuqGWI\nNO0hGD7LXSqp4uH+Hm/fv8O7D+/w8PDg9XHu/uFTbuk8hcTm6O8NNf0FTvPsDBOAtpyoJVQCATCY\nb80NvtpRSsH4dMT7jx/w6x9/xHdvvsXl5SUur6/QqbiZZ8sa3lAS+/JwgT/49nu8+/AeD48PuOPq\nk2RZFtzc3+Lj3S2urq4keZJ6J6xazVm7j6q7vLlP526f3Ct80iSI61BKwbwuYFV9JH2N2RwAra1R\ngGA2XrHNOqJxsgUdd39zadSoSXh81ULdJAWmDCy8TdLsNcJmuTcUNEect0rSSrvX/CCC5BmlNbqR\n5G2mhPcBbF1LWy6NWDF7ZnicEx51Y9GTMs6I0jmXJVrbJoe8lrUV8BZR0F4LeW5V3/Xo+1Cq0nXI\nxitaz8K1YC4zyirt1lNKuBj22A0DKCdQl3Hod3jz8jVev3yFw36HlCPa3LrPMSDAtWJ6POH9xw94\n++5n3N7eYR7FhXPjy+3+PEhiD/5vAin9Jeza8zNMZ66E/w7murTXeLTGDp3M8zTj7vYWv337I374\n7ju8evkK+4sDutzL5ETr6wZA1Rszdvsdvnn1Gr/4/gfcPNxiqSs6yjjs9tjnAeM84ebhFi8eVBJV\n819A0F1QLo78VggZob7N77FNTmNeiES1sWegdhVdniUJkYt1nnLjZqhPbnkbKq5sKgfUNknlMsww\nWVa6SAcHXWw1pEUzqO218dqFOFaER9K4gDO80Fm4NBXjTznkMEmb7bWsjjaUiNuyfmbfzoh270TL\n1oGXFfmIzGxOBTVpayhKqk6gzRVU6D+ljE6TWfMqv5uXBay92SpXLGjAjxIhl4yuFHd3jWCnytIQ\n4+kJt4/3OI4ndCnjYncQo50Tut2AF5dX+P7b73B9dY1O89s2092Ra6hLBGGdVzzcCiXx8/t3eHi4\nx7LM2mkmBFXOjMV5PhvinPnrHH/JEzw7w3ROdkc05MiJTPpV3gHjIhjeEPPp8Qnv3r3TDO7v8PrV\nK+wOe42cLZA+j6FTbCLkvsPl5QW+f/Mt3t9+xGmewKXi8lIKfYfc4TiOuH24w+XFJXa7vTQs7FTV\nEM0AWQ2WLWRHM36fxpeFiapEpfMn8ddoqMbeH5tBnk9UM2T2bjtXSiKIv9vtpNkn2uKutUptIUuo\nnBZ5T9d1Sk4DpZDkcKUijQq0ELWyNR8oSFxDHlOn+VgqchZarq+lVfdHl/A8+2YT2eRQO1ib5rjc\nOoNZ3PUO2kjCCOFMkshaQyClzTispAWx5+6xiuWZwmdiSU1Zphn3Dw/4cPsRd8dHdDnjohv+P/be\n3Me2ZFv3+sXs52qz27t2Nae59+lhPA8HBwMHGzxwkBDgYYCweO8feAIMhDCRMAAJxJOQnjB5GBgY\ngIRA6N46p7q9c2fmzmZl5uq72UVgjIiYc63cdc65p6k6p/RmKStzr2auuWZEjBjjG9/4BnEYiVRM\nKJne89MzXp+9otfvE9lMnJ/fQZsR7FJMdNWwXW+YPD9yN3lgOpuy3e5oKmfU8d/XfYPj+9TOgh8W\n9HbHT9Awdf7uGCUHcrugyBy91ruudvevypLFfMHD44SHxwlvXr1mNB6TxDGOoEcDWrV951QQEOcp\nJ+MTPrl4xabYsdvv6PX7nI5OiPOU2hjmqyV5ltPLc7I0JQ1jlGXqGsQoaRof/xvV+S7Oo+lgPfIe\nkUBxC9dNQNeZ9YWrbj+sC2y3ExVv4F7cS7vru5ZMLnwLbVeP2tbtafu3UrVfSM4jq5uGIKgJbIGv\nS0I03hNspW0VLdO6rmtK2468qiv7U9vPa9teyfpqpUq82idHoZtSNLVVofTgvCax5j8k7HzvFpsy\ntK2m3HbSJeL6sKpTtuO8PN0IprRYLCRTtpjSaM3r4SlxElnipSaMI8aDEZ+cveL85JQ0k03RgZAe\n5LZ8L3cfAwP7omA2n3Fzf8v94wPLlWTitG4LsLtzwC0EP68NLza2P+j4PU7wkzNMh+hxGz8fW/9j\nV9/hTmAXeV2z2wvWdDd54PM3n3F2ck58GsvuFAqYimulbIHWII7oDwe8unjFttwzWy3J+z2GgwH5\noMdyv2W72/IwfSSNYtI0Ic1S774LE1hjau1xlzY0OQxf/LVrMQKiYVRSWskQ3Vk8XSqAwxeOAfUD\nQ+VCJOWMeCed0FmkQRCigw52ZIzXKXIGpTENoQn9tbsyjbhpiFwrbG2NPGJMtVX01DYz1liGd1M3\n/qeuG4/3tQDuUchrDC1fiyPiqXym82jE42uJmm1KvgXjvSfeEXszGJvFU36MAqsQEYaBxwUVoKua\n7XrNw9OE68ktq+2GUd4nHUWYWrrtVromyzL6ac4nF68YDIeESft5Sqm2oahyXKmIKAhoSqn7nDw9\ncXVzw9PzszDI6wbX96+dOBztzq3X5LN1Pmz+Pc3T7/m2n55hog3nDgxU5/+Hf3UOB7yiMI3xWNPd\nwz03d7ecn56R5RkqteJvSjSeJW3vMlCGJE85PTmlqEqCOCZCeE7DrI9RsFtMeXp+BiBNU4ajIXne\nk5ZBQEnVCsAp6wm4LI7Dcyy723kUzpsoq5KqrA5pAt2vaD7isitjSy448MY85K5ccGR8uyJX6hKE\ngTXOVuDM2A67VSlAcQfD8t6q905smh7jv0OtBUzWpkOQRa7Z1a05IbnGCp254uKWGNrx/Ax0Gzp6\nr6qz8BRgGk2Dba0UhDRRJGl/1ckI4jBKAd8deqbsE66WrzGNzyY6HDEMQgKgsEmQu8d7HqfPBEqR\n5GMCFNvNhuVuTaM14/6Q12cXXJydkfYzuVbrebrynhea8BqKomS2mHN9e8OHyR3z2ZxivxNCpbsL\nXYzpN6wD70H9vscf8NafnGFSdGqw7I7pdpnu4UszDjAB/5fssmXNdiuZjZv7W15fXDAeDOmfjJDu\nRJ0uFEbRGOk7hoFeL+f05ITaNGzKPetyR58+eZTSSzK2qxmTp0fyLOdsfEqe5iRJfBD2NE0tHg7K\nex9C5NMeZ3GGwnkUUvKgvRJlN1QLaMH+w1yl/N3ibnjDbjriS7rR1IEVSbMZrygIW9oDLpNoBKOx\n3pbjVnXLbOR71FTWC/BNGZzErAHjWpqb1vgWZcF+v2dfFFKI2mg/hN3Ut/+OCly9ofc43ffrGGFj\njWMTaF8np22m0zdgUI5YIHwrbTdA1wcuUE4xUlQSorAF7wMUTVmxXK24vr/l7mnCfl9w1h+Rxyn7\nfcF0PWe93ZJlGWfjE16Nz+n1+94YKqV8PV4cxZ4g6r6LFOouuLu/4+bhluenJ7abLXXd4AMCcZ9b\nr9FhaN3/gnYD+RhX/3c6/sD47ydnmAyde9LxMl68zu4KkvE6jKYNgBZqYbHbM5/Pub2/4+L0jLOT\nMz7LUtJeZsW+LBPYiJfVKC2946OIfq9PWVfUi4b5fkW0ihilPfIoJQsTlsWGh6cJj6cXjIZD6aga\nhVaTSHtNIlzro46Qf123WJKTetXW2zAIsK1US0TkCF/qso4sJPMCU3JZue7iPfDYtGgKxba0QptW\nkdMZAW1Ma5gccAu2I4kFzU17PgcWc/Q50qBRpJCdwqWumxfz31EduqFna5Tb76BQ3uK4UF+5Rat1\nK1SnpBDGGIN2HlzHqLn+c8p/vi34VR3BvCDEaMOmLHl6fubh+ZHNZkMWpfTTnMDAfL3g4fmRfVXQ\nz3ucDkYMhgNCi+MpJQY+Cp1sjPLYY2DJlNvNhsenJz7c3fEwmbBerITlrduykhbW6GxOnZDuOHGk\ndLvB/07HHwxIyfGTM0xwGKocWP2Dm2ZZ1DYM6abgXUZKwoea7VoG/Or2hldnFwzHI7IsI01jNLIY\nTaNbI6CQHvVJwrA3oKwqntZzpqs5ShvSMKEXZ6z3W2aLOTcPd5yOT8nyjLSXd7p9OMOKZzO7H/kc\nBdr4DJ587Q603zFGrqusvK3jTXazNO71/l60c7Yb+hwbJ3fOUNmwz4StsTPmwOy3wDptSOf0vrX2\n1yTdYmtfoV/bGrOqlFC1qW1ZB+qgZbr/FGucrGWVazTYttn4cWo3MuMfcIa/LEuM0YQ6PGSfu8yn\nxXbCbilNgzQAUN0qBOn8vFouuZtOmM3n6EaT91KSKGZfFTwtZ8w2S6IwZJD36PdEe6nVVbISMJZs\n6ryoMAhBG/a7gufnKTe3H7i++8Dz0xP7/c563S7EPZj9bWDbNbhufNwtchsJP+zxkzNMXSDUHQp1\n2DnFLfoOsAsdz8CDxlaStCxZLRfcT0Tq9Oz8jFFvQJoIwxegdl03VECoDIQGiMjznHFds95uWO+2\nKA3jbCDdeo1iudtw93DPJ2cXDAcDyW6FrVvts2l0QkcUJjCEOkQHDbUSpcXOTWjxFtMuO4f3dHfF\n1nC3KNxL//Glx+Q8mKqubbaoDSmCICCy72qszq/pnLz9fCkSdaqVvnrfAeg2A+fqyxpXrd/UaN24\nwe1cOa0RouV2dT0GvwCPQntnyCSE1pSUdlylXbhTOhDPr6Nj3hkb1V381jKLOJw0RJ3OZjzNZ1RV\nRT/LGfWHxHHMptgx266odcMw7wuVJEsFv7PAuSe0Bq3McqCUVaesWS6X3N7f8f7mirv7O5bLJVXV\nduN5UZZ0fBwY93YsD+7rb/Oa/ojW66dnmDgkHUIH4JR/uBd+/yDBwYQ3jabY7Zk+P3N1e8PF2Tmn\noxPxcKLsAD9xu6e8UxEkikGvz7g3ZLVeMS3mVPuSLIxpyopyu2Oin7ibPHB2ckaaZSS26aZSCt25\nDkkJ+z4mHm+qwoqgVtSV8pyelvDoPB38OQPbocNlXFqQ+9BoudvU/sN5MkKgrKqSsAw9JtYN1yIH\nznqZ3K5gXeBZ2HVjOhlD4z2WsiopyrLNxNkw1XtWnQs8XD+qNRSdsLGbmTsm4DovymFy2khWVGtN\n1DQ0iWA6QhZVBIEYnEaLOJ9b1JLxa0O5wGJjVVGyWCx4nD+z3W3p5T1enZxzPj4FBYv9mhpNP+sx\nHozoZ7nFkFpv6ZirpIKAEPGYd9sdk8cJ7z9ccfXhRryl3f5Fz7iPzftj3O0Qi3XB7+9w/JFdqp+c\nYfKLjNbqf+zWukzGcfbOv0/+kKcMNFXDZrXm/uGBy5NrXp1eiHBXHBNEgcdznFcDEs4RiFrjyWDE\n5GnCfLVku96QRwlaa4pdwa4suHm4s80L+owCZb0m683Z3bzNDslztWlQdd0+b42xSKYajLGcHuVa\nvLkskS3vsH3rbe9MMaROhgPrZXVwOvmR0ouyKn33FsBzmUIrnauCkCh0ovzOU2k9mdBK0oIYokC3\nRdfitYjAWmNDONdOXTs8iHYttGGHM0yHhkepAEcn7RISvSEN2n54riuLtp6TseMYqgDCAAh9GCrG\nqWmNv26Z804jSlvDMVvMeZ5NQcH5+JRPL14zGgzZljvCjZQznWQDRv0hSZoS2OYEwhYXID0IW7lc\nYdxDtS+YPj5x9eGG99dXPEwmrNYb4S01rQd6fK/85s2hBPWBdlV3UfyWLN4f+/jJGSZob3qXk+Fd\nbeU0bH6zw9TNWAR20pZFyWI24/rDNRenp4zHQ/IsYzAaEgUBOgxpEExVBQIcGmUgicizjNFoxON8\nymK9YmMUsQrRumZflUymj9w/3HM2GpOmqZe2cF6e2yldxbuxkrKG1gtqlRrl+4vCgOAdYSANOqMo\nJrLGpKorKKFCwkDnzXQzg8aSJV2454yGYDCVaFVZLyOKIkIdYaTuldCEXgIkPFAJEGOhmwYdCMu7\nUY0A4p6OYLyxcOx6B1o7vpDXicJl8aznomR8pdfj4Sh7jzoIhHkeSW2Z1pqyKtGV9rQdY+kfWKDb\nsdFlXMQr0saAtprnmI4hF2+mLipWqxXPixnL7Zo0Sbg4OZPi8DihMZo8yzjVI0ZZnyzNJMtpcUrf\nxdcqXLSSMgFNVbGczrm++8Dl9XvuHu5ZLhaUu71PDHhMz3T8HwdVBMp7zC4ZZNz2YFrO1w9tlOAn\nZphkczC+C+uLwz1sb6bGKRHIf07iw3lcxsbmRlmJVTRqt2f69MTN7S0XZ+eMhiPSLCNOE6LQZoQM\naBPYDJ1k7dI842QwZjQYslwu2Wy3JGFMqCRUXCwW3D0+8OrsnNFoTJZlBIFgN7pxk8V44S7f/VW3\njOXa/vgGjHZnDeOINE5I40Qq3IPAynzY8lfVtlb36WKlPKiuEX3rwMEOxnXbrQhLV0J7gCTLa0JN\nZCyBMoTQtF7qQYfdbthlfxr/nVzfNmeEDwfcIPebzpAr1EEDBsloBRbvag151FGudPfYNeRsbC2k\nC88Ar13u69VU+3nOCDijHiqFrhs22w1P8ylP8ymNMZzlA0ajEXEc+842SRgR9UekUYyK7EkDx7AX\n6V5nYJxx1FXDZrni+v4DX3/3LVc310ynM/ZbaWTpMVW7wXRcJR9203nebeKuhyD2t0+0fOz4EyLi\nPynDBO3EbsE+5Recu4+uKyvgdwoXZvjf7kn724A0LihL1usN95MH3t+cMB6O6ed9zi7OiKLQL9zA\nA+hyPXGaMB6PORufMlvM2e/3FFVBEsgQlLuC59mUx+mTSFwMByRR6LEfo10YY6DTQFG8l4a6lpZQ\ndSUyHGClNkIpHUnTlDRppX2diqK7Ry5t74xZoAKfXXIcH5mjjg8kvKOyKtv6MDvpXTFuGIaYSGq/\ngsaGI0GLSRlcK6ajyX+MBwViavxYdMaWzn12R3BgQAyNlV3xZTo2ZJHed0J+1IGjGcjzZVXispre\nI7Vhrg/Vj7A4YzTKSDKERrPf7XmeTbl/mrDYrIlVwCjvExOw3+/ZlnvWuw0GZNOIbCMDZVUVbNmP\nUDHa4mpTa/bbHY/PT7y9vuTywxWPT09s1xvqqu60GFOH1+kNVJsgOGYqveCBfd/xJzRK8BM0TN0Q\nrU19O6yo68K2u7/pvN4jVEcZOinQNFA1MuGmz1zf3jAejhgPh/TynN54SBTKbm904/EAFYaEBvr9\nPhcnZ8wWc9abNdvVhlproiC0es9rnp6fmc5nnJ6cEiaiB95d7I4nI1ks0zKhXRNN+zpsWBbHEalt\nY54kokctTTY7hjoIbI1d02IwSnkelXbZssDQQeMtEN5AWVpj2RA3AhLrphGelzYQWI/Fia8pMdet\n5+RUMzvXZAmK8vnGj19jawJNc7iAtB23IFBEUesJGfse1xXES+Ra4+uNGOYAd3Ihj8seKteoU3We\ndwvfzTklZTdGG4qyYL6Yc/804Wkxo64qRv0RiYrYbrcUTcW23KMx5ElmaQByb8IwII4T6R0XheK1\nNW4j1ZT7ivlsLl16r99zP3lguVxSFuWBkW/LdFoDpbDwgnMxjwxMF286xqA6L/qTHz8pw3SQjXmR\nYTh+cbvbmqMd+jg1euDaevqASPAO+gNObEudtJcRJQmi9W9bEwXWLEZ4Ru/FqRin/W5PU2tiFaEM\n7HY7nmZTJs9PvDq7IMkzwlhInMbylxrLkJZMlS3jqCupG7PhkdNMiuOYNEnFW0rFWwpU4ItsXYff\nMAyJmoimqX0GCAONrXdTtfIYne4kFNz9cPem0Q1VVRNHEXUckySJGJVAart0o32mCfAGkM46UUpC\nJte1JLaGyxish1ZZTMmgGouKGBuSW6MaR/LZcRRhjCgdYIQX5fAy0ymrwWJeUeCAcLxHehwGHRzO\nK+lkAtHSYWW9XvPw/Mhk+sRutyOPEvpJLgW86yXrcg+BYtjvE4cRYRR5MbooikhtY4MwDCmbmsBI\nTz1dilTKw9OEy5trbu5umc8khHMlOl17c2BovOd0GFV0N+LD9fSRNfQDGCX4iRkm6Litqv33Ma/p\n++p/zJGh6sbepvM/bekD89mc27s7xsMRpycnDIdDTk5PbUjnCI/GC4+pIGQwHHB+csrjaMx8uWBf\n7+yOqCmNKF3eTx54dXZBr98jHw5EBsN9KYPHQCqbSneeEojHINmxiDSV5pnSEiq2IvkKYxoxFqbV\nCBLvIpKQyYLQACqoOzezE/oa11ob263XhmRKKv8Tx15PRB420hEmbCkF+PKUNtT2mFgQoJKktQcW\ncHedbF1KXinblstem4DF8t1j26JcgG5lNZQi71G6+xc3Gg/QI8cAACAASURBVFEasTQHFWESQ6Jr\nGuPaeju8RTAX1wpM8C3jDZtCVDmLYs/TbMr99JHlZk2kAkZZnzSIWG5W3M2eKE3NeDjibDiWPoJh\nCEqKgeM48V2YDZ2WWnVDUZRMZ1Oubz9wfXvD9HnKbrMVZUrdFmm7ed/N1nrs1HqD3VXgjZlDLzpY\na7tAPrps/iTHT84w+cPvwsrv7s7EGGMOZB26u0WX1+Ezc3aITGfAm0raPT1Pn7m6+8DJeMzZ6Rl5\nlpMP+9LCx2ALQa2XEEKaZYxHY07HJzxMH9ntd4JnIJrj6/Wau6cHTu9OGI9GRFFMnKc2lNAQBGjV\naUOlsLo8gQd8nZCb7+prWyIpi1UJqO1CWvnuwuNrxew1iiDQXl5Dd7JzHujFw97+fjmvzt9aIIoj\nNxighLYQoA7wGjQSYlivJVK2NZM1hk3TEAQ2NGusiqgLO8E31pROv6HX3La2XGgSUUjQBDRWjaGs\nSmsAQu+9iRJATJMI+F1Seq/Mlc74hW9D9dAvf9B1w3KxZDJ7Yr5aooBxb8ioN6BpNI+LGU+LKWmW\nkgYx/SQX3C+0gLz1lmKLzclcFYytqEqWiwUfbm+5vLrk9v6OzXJlWfDGh95OiVOmtjrYrN06eFnI\n3crSOONmQcN2Pf2Ax0/PMHUAPpdR8oPgskBu17fHASblTtNxgf1rOiCiQRoJbldrHh8eeDcYcnF2\nwclwRJqmhGmMDgMaG2KENsMWpDDsDyRlPDpls95Q1XvJrjWaYr/naTrlsn/DyeiEPMsZRSFRmvjq\n9TAKiRGRtkYFaLtgBTd1hZ5tE0bXaltjaIy09HblJ6Er2HTa14ZWryhQBOoQbzi+P85MuTR+e48t\nLygUyRNfMmPakA1aZUkjLph4CE6nyWJSxojBijAElZAMTTto3sD5tLqlKBhrCF09Xx1GNGHtkwaV\nZZT7tLjDkgJEN92Gp4693i3BCcLWuLZGSbNbb5jOpixWK5Q2nPSGnA9PSFTI/fqZ+9kju2rPaDBk\n0OuR5MLwVqGSTcgV6NrvLcXmiqaWAuCruw98/f4t72+umT4+C65Ut0RKH1J21oPhKHI4ME4tteZ4\nUxZjBT9GB6efnGES97oFBfTRzuAyb27ncK/sYh0SyhztHg53crslDogUQbm7+zvenpxwYTtZjMIR\nQaholPBbQvfZYUCSZ5yenPD6/ILZas68KKm1hAw0hnK35+n5mau7G0ZDaS3etwqZQRgQK8GK4jDy\nVAEvc6IUUdhWoIdR5ImQRjfe0zmg3Fnj4zw7KQjWreaRbnxYe5AccEZLSXreTXQxFK5Xm1NddHCM\neDZhIFmn2LKplSViuhKSyGkZ2XFxRi+OYsKgaMNBC5p7TzGy39uFjHZsnRfpQH7tFp5u23ijFJHz\n6ixXyHvI1pg5z1OA9sDjSkVdsF1veHh65PZ5QlHuGfb7nA1OGKQ9NtsNj/NnlsWWQZxxNhwzHoxI\nbeF2ECgSu4l4cB2IVIBpGtarNdcfrvnm7Xe8e/+OyWTCdrf1rZhk/Drr4GB+H4V09l52tlz/eQfS\nvY3lcf0Ix280TEqpnwH/LfAaWbb/lTHmv1RKnQH/I/AL4BL4N4wxc/uefwT8u0AD/AfGmP/lT3f5\nLw/hHbXup7a7wEGJQvti/7cG/3x7vExbHO5GrtPpntnzlKsPN7w+f8XJaESSJuS9HlEgWTCjjMcx\nwjiiP+hzcXbO82LGdr2labYyWQyYqmG7WnP/OLHFvTlhHNIL+tLoMBYdatOhDTginFEtmdKVUbi0\nucfMrOciFfPaLwRHPG3qhtppO9WVZV1/BCg1NvwytgJfbrR4O7b9eRxFnm0eOLVF273WSYIoJQzx\nQCmiQIiBjrLg9guNtEoKg5Zh36a7jTdOEv4FB+PkvKDIKm82NhxzYZ7WWrS+HZ2gQ2YVA+W/rlVU\naOkCgVKtFPPzE7eTO2bzOUEYMOoNGfUHoGG93TDfLDGN5uRsxPnolEGvTxTHqFDaRQljvjVKAQo0\nlEXJ42TCu6v3vLu65P7+QTqelJWEb7aY2Rmczpbjgfl2rOQ5p3zq1oy8XtlQO4Ba6CHfA8f+yY/f\n5jFVwH9kjPl/lVID4P9WSv0z4N8B/pkx5j9TSv3HwD8E/qFS6h8A/ybwD4DPgf9VKfUvGPObWFp/\n3MPPx07Y9f2v7YKBgPpIxbU7uu5V509jNHVVsVmvmdw/8O70irOTU6kOjxPiLKGxb3eL1sQRWZ5z\nenLKJ+evWCyXwkPaC5tbWw7MbDrl9uFOXH7berpvPSECAZ1ryz+yLhxGYbWyZRGGoXCrdNORTXGU\ngs538frf2lBVFUVVUlblIQWhezu6iQFjOpNavKU4ii1WEkuoYvGfOI6J4zbjFNqutaAgpC2H6SQd\nHIm09Q7bBXZ4Pe63RltQvF2cttOv5XHVYYjWxsu1GGNAG2Gi26RAEEpF/wHPSrVYmSOhlntLDXh8\n4OH5kbqqGWdDellOoAJW2xXTxYzNZksWJ5wNTxgOhsSpNUq2BtLRJZQSr19rQ7UveHp64t31e767\nfMvt7a2wu/eFDeHasNx58t05fzyHXxgnO2f8BwOqMbST9sc5fqNhMsbcA/f277VS6leIwfnXgH/F\nvuy/Af43xDj968D/YIypgEul1LfAvwT8H3+Sq//o0XpGkuJWBwRArfiosRK7ZPzgOO/Bv1K1huzQ\n67KdVfYFi9mcm9sbTsdjRsMhWZ5xEp0SRgF1x1WOUZhMlCtfn18wXy0pioJl3VDWhYQVTc0mWPP0\n/MSg1ydJEsI4IopjkiQmjhIMhtB1a3EYAfiur2EoKeZaWxF/227IGZouAOpwJY+92B/t2N9uV+0Y\nbN/zTrUSH4E1QIkVNIusoJkKAs9iTpOUOI5Qqq2zayVdjMe5nCfoS2CKgsLXgFlg1l6XGC3JCCql\nCB2XK5AmAu51kcWtoiaSxglga4jw3pfDZJRlh2sTeRqG8+QC22y0LivWq5XXWVpvt4zyPoOsRxSE\nbLYbJtMnHhcztNacDMecjsZkeQaRU2WQC9C4Uhppd17u90yfp1xeXvLN5Vuurq+ZTqdSoNuhh3TR\nP9Ux7G50A9Wap25Cx77BRhT2BY2But0UOPrrhzp+Z4xJKfVL4F8E/k/gE2PMg33qAfjE/v0Zh0bo\nBjFkP9ihjgbBubc4t9/eYz+QnQE6KIuwC8R85JxGte+TnVZCul2x53HyyLv+e0b9Ab2sRxwn9IcD\nVKi8XGwQBsQmlhqp0zM+227Z7feUZcG+KIRNjSyi9XLF4/SZJEsI4tCXKcRhTJREPuPVDWvCoC2b\naKyiZW3F+yWj1fGcLC7kOEmOJ+W8iEAptK9F6d7oFnaz2/RBv7nQZsYcA1sFLS0hjqKOJ2e7nbhi\nXYuXHVyn0zMvCoqqpK6r1ntyYRlQ1500uQvHbHjXzVI5CZPQhJ0w0L2mnQ+hCjCWpNkVvAttZb+u\nGjbrtXDPZk8sN2vCKGQ8GDLI+9RVxeP0mdvnB1a7NcP+gE/PXjEejYmz1GNwob0/xhjf7FKaYcy5\nub7mq7ff8vbyUtjdmw21JYsezPkjmEJ1B0cdJS6ccXJdlbHwqTaourNWaDe7H/r4nQyTDeP+J+A/\nNMasjhaqUepF74Xu8aM5hIeG6Dj27rQOPzJW7fu91+4HWmNeNso0Qthryor1esXth1sGvT6DwZB+\nr0ecJaRBig5aTaQgDEiSlMFwwJtP37Db79huN6zWa+qNSPQmsegR7bdb5osFSZpaMFuwmUHYJ4ra\n+jes9+Kuyy1qb3Qaa6AqS8psGsuq7nhOB/VksmACHVDbank30lJniFTgG41WAa5iTPSuI4/jeFUE\nR2C0a0YbTdXUlFXZKgjoVia4rlp9b2m0ULVGyQrIOePpxkOhvOyIsiC2M0ziAUW+KWRk9byNcs0G\nFNZ5kSOQ8C8Cv6n4FkmNZrPeCF/pacJ8tSAMQ86HY15fvCJqFJPlkofpE8/zOSqAT84ueHP+mv5w\nQGwJr3HUqn+ipDNwY8Huu9s7vr78jq++/Ya7+1tWyyWFDeHcfqCUo0QcYg0HhtiLA1sjbLXZ/WsB\npel4Si2e2CGDfO86+1Mcv9UwKaVixCj9d8aYf2offlBKvTHG3CulPgUm9vEPwM86b//CPvby+MgO\n/Mc4vJeE8yM4sPqKbtdb5Xd7x1VpX9PqY7dYlE/MtelV2pDRae8sV0s+3N0yHAwY9Ptkacr561eE\nSYwKOzIToahcjvpDPvvkU7a7Hdv9jn1VsttsrCEwxEFIREBVlsyWC0uUNDT6nL7uk5FLqNdppY0R\ngLC2wLcrRvWNC8qSyjGFlTq4J6HNcLl0PSBdT5yRc1QApCbPaKfY0Arlh11vyeEfBqtX3uJide2k\nglsFSwHfRd+7sDK6le38YnRbDf9y7K0BabSnCoTGsdOl1KObmRIvyRpMWgMqrZgQ+oIxKALfeAAD\nuqzZb/dMZs98eLhjupyDUpz2R7w5e80gzlnuFkxXcxa7NSoKuBif8vmrN5ycnpLmmcXaJHuo7YYX\nGmHHb5drHu4f+O79O75++y03dx+YLxbsd3vquj7A+wIVoD6yeD5W8+bGyLWH9zhhY6DWBybox/KU\n3PHbsnIK+K+BL40x/0Xnqf8Z+LeB/9T+/qedx/97pdR/joRwfx/4v37jFfyRDFLnmg/DLP8xDndq\ndxlocQX/ug7O5M7nziWL+PCxg+s3ottUbHdMp89c3VzTy3Jb8xRxcnFOajvvahv6xGmCUorz5oyi\nLCQLpjWTp0eaoqRBMKNeIt18m6pmtpxjMFS64aQQPKvfH5BmqZAIlZVL6RhUaFPuLnSqa5E7EYPm\njImUdERxy3/CQKKdmoH2raIqBU0NDW1XYuexeY/LbQAH91GDK3Z1YaTX/W5749Wdrii6sfLF9nu5\nDcYo4Yi5cEgp6bRrxBbZMQ9QR31B/Y/NloYelwt8g01RBVUoJZ6isTV32/WGx+kTt/d3PC/nNE1N\nP805H54wSKXs5Hm1YL5aAnAxPuWL159y8foVeT8nSVNfnOu8eoWE+sVmy2Qy4e37t3z1VlQDZrMZ\nxcaWnOgWvG499u53M525qg4e95k7GQj53RiwDR263pFC/agG6rd5TP8y8G8B/59S6v+xj/0j4D8B\n/olS6t/D0gUAjDFfKqX+CfAlUAP/vvm++g93HHqgv/+h2p2wywNx8g8OoPVB3fdc1XFW4/AzeJmK\n5hBvMloE89erNZPJxNeqZWlKlCTEZxFhEImBCwJCpSRzpZSV2jC2gDViuphhbPgXqkBkMcJIpFTX\nK7TWrDZrzrYnnJ2cMhqNyPu91r3XXS/QB6V+4nZ30MjxipLIl0S0nB1li4dbYiKqA5jrpg3b2uE4\n8E7oPu7CCQ7vp2ON+51cOdqAOkgShcoSIZX0cnONH53xc2JvjrsjuJfV545aT87NGceBSqLYtwPX\njbablKY2wukq9wWr9Yrn2ZSbh1sep1OKYi8NS5Me2FKldbHjcTmjaGqGvQGvz8755NVrhsOhKJSm\niWRnsVQFiy0Uux2z6ZT3N1d8c/mW9zdXPPu+cDX4udyhABxN5G6Vw29dVo2WDJxpN+52VsvZ/sh+\nw+98/Las3P9O273m+PhXv+c9/xj4x3+nq/hjGSfaxeBO7AbQ8zsUB0Mgb1IvjNFB5uLo3C88JtUR\npbO/y33BYrEQMbI4otfrkec9sjSlPxqiQuUXaRxEBHmPln0sIVGSJmz2Uole1CUYyKIEHYp21Hq9\nZr5aMFvMWS6XvHn9hlcXF6iR8Iich+f4OC5kO+xYYhdnqA6kNiJrmFyI54iITuOoaRrqsPElGnIb\n2/si2TxpCOp5MvbeB7jwScIpXw7S+U8ImLZzrA0BodU1V2FAZI1NZDEjgw3barwOVmDVH+M49uqa\noa/kFwZ3FLeM6zCwjGtdo6uGal+w2+/Zbbes1mumC9Htfpo/s9vt0HVDEMJ2vYG6YRkvWVd7NsWW\nPBMi5ScXrzkZj8nznDhJvDxOVwOrKStWiyUfbj/w7eU73l2/Z/I4YbveoKvm0FPCTVfjjdMBv64z\nFl1Yo/ucqRrBlI6yesfz3a2hH9pv+vNhfv/RjNNh+Oa0l3zA1kl7t6/jwLi0j9kzfoxe4A2RfGbX\nC9NauE277Zap3dHzvMewP2Bg+U1pP5MWPIg3F0URea/nzyfGIuR2OqGuKha7DcNyKM0xe2LE5rs1\n08WcyfMjz7Mpu31BqALiJCbNc8FYrLBYHYbo0BW4xtRR3aaUAwf8Ks+rcWnx0C5gh2pobVq5kCCg\nUQ6TMR5H0o6eUNt+a0bCVqMCTwuIVHSQIXOyIkYplFM9CAKb6pcuI4VS/pqlriz2/C4XFtW1EDOc\nFxda4qIrinXYmVLK3/ckTrwuk2mkCHe73rJer1kulyyWC5arJcv1itV+S1EIAB0RUOmaXbFlu16j\nwoA4SVBRQJpnnA7GvDo95/TkhKzXI0lTqxsuZUEoScDoumGzWnF3f8c379/x9v077u/vWS9X1EXV\nergH87AznzuWo7txdn/7+arFGFHrjxolF765xJD6UczSn5Nhgj/YOBmcRvVRKyUXarnXdQ1Q1/uh\nBc8dwPrCVf6IZ+V3Ldp0tW40VVFhzIZnpYiSmOGgz3gwFPmT+Jw4S2z9mgYrXJb1crSxnWitxOpk\nMWVbSSeNcX3CWZwQJykNhul8xmK1YjqfU1cVg16P4XBAFMWEcejDlEhLaUmoZZE2jXSd1Z6f48k8\nLW/JCLaijGqF6XTLn3GHSxTIPbPKllXkvaswDAl8ilr5UMsZN+c1WfeOQAPu34BuLEs8DGm09u23\nkzj2RE2llC+0DY3rUqu8RxVbL9CdJ7DG2IVwgQpobG+22XTG0/SZp9mUx8mEx9kz682aRjekUcKg\nP2AQZxSU7Lc7Fqsl2/1OZEyGQ15fvOJ8IOVJo/GYLJdCXWfAXeOFQIFptLD8H+755v07vnn3HR/u\nb1nMF5S7gkY3bfb4YHm0aZ3WI1WdZw7nrCOgojWq0h3f9PBQnf//mPD3n5dhgt/fOHWzEC4Wp5M1\n+x53FZ9daw2Z43h0z+m8Knf+jx3H7rQxmqaq2K7XPD0+8q53yXg4si59zElwIsW+xtCgxduJhBXe\nOBVCbSBQTDdL1uWO+XrJ6fiENMvp5z0uRqdsNhue1jOmmyWTp0fevP6EXt4jCDPCMIDIspddK5+m\nAat60Pg2SB097yCQFLoxGOvNCAfKpfEr6ZJS162hcoapAaUa6aDiuFRG1CylO6/2tIAgkFAxCkNq\nC16j8RrixjqhTs8piiJoGl8L2O1Iq7HZJfv6ENeiW+oLozgSYqork7F0BpfTqqua9XLFw8MD729v\nuLq95uFhwuT5kaflnFrXjIZDPnv1hoskoZfkVEXFrtiz2KzYlnvyPCfPc16Pz3h1fsFwOCTP24xp\noxsp6gaiIEA1sN/seHp85Nv37/jqm6+5/nDDfDqj3O0xjW5lg7tAtjkqTncTVL2c4QcQQ2MwHS1w\nR/CAl9CF85zaPjs/7PHnZ5jgD/KcjukCDgx8QZKkNTbub5fBce9FdQa2c0kfoyQo9REoznofdVWz\nWa65e7in1xOcKUml2eEwHBOlEY0RxfFAQRzF9PK8xbSCgHT6yLrcsWtKlpsVWZaRxDGvTk6p6woC\n2DYlz7sls+WC4XBImEQEQXJAeoysiFukRT1cNZaQ6OvS7I5uW/84jZ+qqVv5XqsDVTVtxkxupUK5\nBaPwqXd7K6XeLVDSI05rQuM0pKQxQGgpCVq52j5NG7qFHvNyxb9BELZhqIukVUuCdEW9URSRZpmX\nFhZhf/EOm7qmsKL+t3e3fHf5lm8u33J7d8dsOmWxWVHXDeOTMeeDEz47ecXpySn1tmBX7dkVe7TW\n9LOci7MLPr94w6tPXjMajf0GFFolzkY3aCTLqjSUeynWfnvzni+//jWX1+95fnxk5yRyjfk49KAE\npMCFXEdrxZUXdT14GiOG7sD4tHNbDFOnldePfPx5Gib4wzEn935r7o+NE3wcGHT/7mJGHuRut5fO\noNoP6k6gjkuNscqLRclytuBDeksv79HvDejluSgHRAOiMPRGwSgIw4g0lf5yLhybb5ZUumZbF2x3\nW4bDIb28x+uzC0ygWOzXJHFCWZVsthuiJLbXJCUOToQtikKMFtnepgmEZHkAjNtSEaOF1W6zUk0j\nJM1GS/dcXNhrsSNjC1yV6bYt19LCSRka1UCNl7x1WbHQ4Ftf67DBmLb1uVdNwBIpXaGu87BkgOQ+\nuWyfQloeRW0JT5pIKYwrGkZr6qpmt9tJC/i7W96+v+Trd9/y7vqKp+kzu80GgoCzk1N++dkX/PXn\nv+T1+QUYWJQLVrstGsNoNOJ0NObTV5/w6SefMB6N6ff7pGkq2BoGo8T4J0FIpALqvfSau7694avv\nvuHt1SWPk0e26400qrSt5z9GXQFagbrOaw6Kcbuvb7Rk4DrT+IhufLRkfswgTo4/X8MEf1BY5whk\nXVDQ3/Bj3OnYK3LznQ7gaBzELec8GPwjd9uVtmCJc4I5Ney3kg6+yT4w6PXp5bkvcu0N+oRRiFba\nek8aFQakaWqZ1KHN0u3QRrMu94RFzDDr0e8PeBOFjKuxeB5RxLraozZrqqry5Smh9WDiMEYlymp9\nNwdZMy/1gcMmnAZRa3gDFWA3bPFQXCdgB6ba2e+Mkwm0F7dDtXiVP59P53d6vVn7bnSLebn3+0Hy\ntAd3KRZMV60mVZIm1iglvmDY2I1ivVkze55x+3DH1c01l9dXfLi/Y7lZYdD0ej1G4zG//PQL/vrz\nX/D67AKlFLPVnOfVnKIu6fV6nAxHvDq74NX5BScnJ+S9nNQC3QbRwEIFImuiQqkQWK35cHfPt5dv\n+e7yHQ8PD2xWK6qyQyJ1m19n03PzrSUH2/nu56LpPGx87dtxbcZLcsDLTdoXdv8Ix5+3YYLfyzjJ\norITvzPAiqDdgDrekMOkWpjp+z+wa6iOw8ODjAhIhsnZRovfbDdbnp4euUxTK6kaoMKAN0FA3u+1\nYvhKoQIIVCQ1aKGEO0mSsN3vKHXNer8lDCP6ec5JNubUZvLCJEYrw67YsdvtpGGAgl6aM+j1COOI\nJJAQI+p0yj3+nlprGtOGk3KEHsR1FAKnC97UovfkOEqu/VKgAxtiOcPdjoGCVoEzsNIoQSPf2QG2\n1kg5sqfDAaWI2NEVHM0itLIvovudJannZIGwykvLzp9MJtzc3nL94Zp7C3KXdcWoP2R48QnD3oDT\n01M+f/2Gs9EJxhimyzmTxZRVsSFNUzFKpxecn51JxtRiSkHYMrpRiigMiIMQXWs26zW393d8e/kd\n37z9jg8fPrCa22YCTas14sIwvxlaY/SSu9TOMalCsK9opKNwZz/++Jzm5fNd7OnHgMH//A0T/H6e\nU+duu93Cl17QTuzuB3Tj626KtrtTBbTNDlXnXK3n1SF4diaEQolQfVmxWqy4C+5AKbQywnUKQl4H\nr0nzjCSMJcukrei+awut2pKJ1X5DYzRFXZKTkaSpX4QqDKgaqbTfFFuWmzVVXdPLMl5VZ4zGI2Gj\nx5G/Dx5s7gj/d++9Aow2VrGgvW2ubo1SUarS7/Yo2XGl8UFISOhDyVCFLf7nhikIPK2hri37Wmn7\nnpAwiMCKBCgV2JpFgxNNadsriXfpDFNstc611jRVTbEvWK1WTCYT3l1f8u76islkwma3pUFzOj7h\n9ck5n796w+nQ4kRpwn6/52n2zP1cinXTOOF0OOb16QVnZ6cMBkPxkmLZSBot0DEKoiAkJECXDevV\nig/3d3z99lu++vZr3l9fMXt6FhkTZ5SsR9+C222Dz4P5aQenqyTgp7/WUB1WNbgt99gACb7kPqcN\n537MkO4vwzDB38k4tbVZHVzJhQfWcIi0mTu38qGY1+d2T7k0t7EhilK+oWYXdpLwUbWDat/Xjftd\n1qso9sznc8nGmUaycYGksS8uLkh7OWGceAWApmlQgUjqpqRyDaGktyOL1/jmASogUiFRLIuhCitC\npVgXe7bFVgDQQBGNQ/Isl0WLDdk62FCjFKpR6EALD0m+Iq5o9oAWUVW+EafuCuJ3as8CRwtwcizd\nsVRtL7goiuz3btBGMqNBGBKDr8BXtOd2eJP7cedIOlpQGEO5L9lsNsxnMyaTCVc313x7fcmHuw9U\nVUWa55yPz/js9Rt+8ekXvDl7RZamlE3FdDZjMnvidjphvd2QpSkX4zNenZ5zdnpKfzAgS0UtoMHe\nQ6wiZhASEWKqhuV6w4e7W3799Vf87de/4rt373icTNhud7IRuLnWDbPcnGoddTEuHe9J5hl+QioD\nqvqYUTk8ezeacOc+9pV+rOMvxzDB72Sc3EC6cAhadUp5gTuH5DWcxKp/rzU+0IZnBnwvLsfF8V4T\nh0qAGk13RJ0P5nASYTIbCrNnoY1wi4KueiG8Oj8n7fcIowhdVRgFtcV5gjAgTRORUWna1knbck/Z\n1MT7HUkckyUpQRzRT3PR7qkaFusV89WSJIqJw1gA9lDKYlQYy+dUNTW1/34h7UJwHqZjaWsjBcFG\nGRLSFrOycqxt40mnXBl4ydvutHeGJopiWWxWnwmL5ZlA++JgrRu/ufg+cN4oteqYXr1TKaqiZLNe\nc//4wNXNDVfXV1xdX3Fze8t8K/SLn4/P+ft//ff4+WdfcDY6IU4SdlTM7p65fn7g7umB7W5LL8v5\n9Pw1r84uGJ2ObZF2JgbeaHRV0aAJEOnjOAih1qxWK64fbvnVl1/yt9/8mu/evrW40oamrkG3/LlD\n/NKpJ3xknndCPeffGG1sQW5bWH28ZHwmuTN3P76sfjzj9JdlmOB385w8cmo9FrfddLMa9t8HmTpz\nuGtIONHdUQwfGyk3cbrsXPeyoPu5pp08umkoy4LVEm4/fJBFZzRFUfD3fvlXfHLxmt6wTxgGGBPS\nBG3HWhFdizGhfF6jG/ZFwb5aUlYVAYp+1mPU65Nn++v8YAAAIABJREFUOUkYMch6VE3Nttyz2KwJ\nwpBa1/R7fRFus9kq0URqQBtCpQgi8XRUELQ7tTUsjdXJdveqiaIOAbMLbIedIlmnay0YTNjNzoUK\nTERC6r2oxmqOt5IobT84h315CVyLL4U2C1kXJbpp2O52PDxOuLy+4u37S66ur7h7uGe+WmJCxbA/\n4PM3n/LFxRvGvQG1bpjPn3mcPfO0mDJbLkDBxek5F+NTLs7OGdsSEwHVI+FeaQndQsRri1WILmsW\niwVXtzf87Ve/4m+//hXvL9/zNHlkY7WVnCH30NvH6C1+Dncw0A5EAQim5AqdaZfK8ZIRZrcwuIL2\nNAfBW8fP/1GM01+eYYKPGye7YI6LRg/e1h1gWlTpMPXPC4+nnTEcTAy3cx9fjwciO9dlLBu9O/kc\nO3w5X3CtrqXsoizY7/fsf1nw2Sdv6I8GBHEkXT6wMrdGjFNo2sxJTUNT1aw3a3a7HUEUcdIbcDY8\nEW3pIGSYye/GaDa7LbVu2Ox35ElGHEZgpKK+sU0L4jghzzLSzBquILRfR6a0sgIBLgvmhN5EkdLY\nlLfVNHI8KivNgs1UNiBeWeB63AUkRARIOU0TNZ7YqTtgux0AfIdcbPMpbajLmn29p6pKilKoEw9P\nj0ymzzzPpyzWK6qmJu/lDAcDfvbp53xydkGWpmyLPdP1gsnsielqQV1VhGHExeiU09EJZycnjKwC\npaMe1Lr2FApXBhOrAF1Zo3RzzZdf/5q/+epL3l1eMn18YrPevOgFd7wxqqMNzyOhioMNUClE4K0x\nR3P3I2uANuNnUTC6n3o01f+5x/R3Pj5inNTBb/XRkTnAfI4BPqVenLYblbtaMPf+7vkOSZcd7F21\nRsxdkkxCWZxoTbEvmE9nUrlfVuxt4WhRFHzx2WcMx2OC2NZyGWhUY1uW24LYUEFsaJKUoigoKdjt\ndjyXIq42Lvb0MqEm9KJUquWNpixKqrJixUrkTKqaXVNKq3AgTzLGwxGjwZA8TQktyzq2bYbCMEAZ\nfLW+y9ZhrFJA08jurALf562LjTiqgjbGN01QtIRLpQJ00FBRQWNorCMcOKyv44k2WlPWpe/Wu9lt\n2e53VLWw1Ne7DRhDlmacnIzp5Tl5kkoY9+YLBr0+u7pktllxP5swXcxpqpph3rdyuCeMhyMGwwF5\nlgu1w0ixb2PJqq6teaRCmqJiuVhyfXvDr779mi+/+TWX7y6FQLnZUpelD+19CZSzTO3u1YLcDh89\nmvpKKQndvFFq52ALY7ePuPd2Gd2dGeq36R/PV5LjL9cwwcc9Jxe5KdMZEmcR7Ets5sPVLb2Mw+2A\nmqOB+Qg94Pjwsf33eG3dT1Cm9Zz0fi+yItZr2hU79sWeqqr44rPPGJ+eECVJR1isRoQaZeHHUUwv\n62E0hARE240QLXdbyroi36X0sh69WLyfOJC6s6Iq2JWFaEFVFXtdeXwnCWPW+y3L7Zo8SSWkCwOy\nJKWf98gzETyLwhACGxpY0NuYtvWR6hQFSwKgxvGZXDGuMcaGeNZDsOFuXVaUO2FY17YERhnVFhsH\ntiFAVbLcbSisLrgI7hVeQiZNEl6dnpPHKa9OztB1Qy/O6PV7DHp9dKBYbdc8LWcstxsARvmA89NT\nzsan9PsD8ZLiGKWExV26FurWS0qikFhFNFXNYr7g6sM1v/72a778+te8u7zkafLIbmu75pqWW/SC\nr+Qe725qnTl4kDewIm8+rOvMw65/xMHj7ee23r977Mc1SO74yzZM0PE55Xb6jiF0BkEd5yOwBsxm\nMzp7hMNPXIYEaDNB/HZ46/g4ACi9y25sgwTLOTEaoxWlKdF6SVXXlFVFsS8oy5Ki3POL+uecnZ8T\nZymEVqzfAs2hFzsL6fVyUSpIM/ZlwbbYsasKZpuC1XZDL80ZZj3yNJNGimVFud9TVhVhoBjGOWEg\nmbraSMZtsVmx2qwEgFeKPE4Z5D16eU6/J8L7YRQeZMakQ64sicCFzI41bu9p1TQESpHEDcQJJpJN\nota1hGO7HdvNlvV6xXKzpigLDNJrLYwjklTanwcqpKwrntYzyRBqbe9LQJ5mEo4GMSEB5b5gt9tS\nlpUfHwLYVXs2xQ6DYZj3yYYx48GIYX9Av98nTmJUEKBNQ9m0Hp8KAuIwJI0TIospLRcL3n+45suv\nfsWX3/yad+/f8zx5ZLvditibaUMuF/YDbXJBLsxCAUeGyc9BJbWPZfP9cw/1EdPU+dyDf3fxJfPi\nsR/6+Ms3THDgObl4/KWgW5tBM/7/9rd/f2t8HNO43UnkP68NrdRHJ80BReAIWPfXh3Pgunwn6yFo\nw05veKqlELYsS4qqoG4EW7p4dU6UpyRhRAUSqjS152iFYUivH4vuU13TL/asNmuWmzXbSjyj3Vay\nS6EKKMuSfV0SqIDBYMTJaEyv3wOlKOuKoq6kx1xdonVFVdZsiortfku4ieglOSeDIXEY+8/P0ow8\nEVkXLDnUeYcEEos1dU3RVCgUaZKSJTVREGI07Ks9q/mS5+mU6WLGdDFnsVpSmZowCEnDmLSf0x8M\nGPX69NMcgoDGaOIgIokjT67Mk4wkSwm1SOKugH1T0tQi2auVQVeWCBoFnA9PyOKELMutuJ+UtADU\nuqG2csfSOj0ktt5YHEQCdC+XXN7d8DdffcnffvUrLi8veZo8Uex2Pvt2uNrbzdHYTVUrZSkalnfn\naRKdOdRo0VQ6mKNuA365PA4zbC8zdkcr4kDR4Mc4fhqGCQ7TYA6g9byi9nAGQcJ29T3Gy8b05tC4\nGOfpaCO1Txw953YnR0Ho4E9uZ3TuOeawQtxdU6MaTGV87Zm2oKrIzFZo3fD69WuyQY8kiinDmKqR\nwloXNoUqIE4jskRIl3maMewN2O53ErZVJWsbKq63G/ZlQR6lxEHIqDcgIiRNxSsSrpVImezLgn1V\n2iLchto0VLpmul5Ks4BaDE0WJwySnCSKPX6CEuwoiWOyNIPIlrEoRVVWFEGI0Zr9fs90NuP28Z7b\npwmzxZxdsccoQ5akjHtDkqGUlyRhRJ7ljAcjkjjhtBkRKtte3P4olBRR7/YsN2vJsq0XPszLk5Q0\nzeQnjsmSjCxNvWqBkFsDX8Pow7Y4ETqAK8jdFcxmM95/uOJvfiWUgPfv3zN9evZGyQHdMuDKJkhU\nixB0Jmq7gYpIn9/MlISuuqqPNrh2DrvfbTEvB8+ro/Oro+d050z/PCv3xzgMgj844wD4W3uUETt8\nm58Cvr14FxzvGiBf8W2Q7JKLFh2AqY0PBV3/eVdz5tvlfMSTctehEMa3qRuK/Z7FdC4dd53kSN3Q\n1A1v3ryhPx4SxLIAS6VEx9totDZEWIG0VPS7syynXw8oioLdfsd6u/Ea0qVVDYimAQSKXVMy7A98\nOjy2MiN53pN24VoMdGNDvaqu2ey36KphV+7Z7bbM9IymrDFK0ZgG3QhfazQYcnFyxqA/IIxFR6kp\nKzZ1zXqz4Xk+YzJ/YvL0xHK5pNaaJIkZ5kPORmPOT04ZD0f0+n0GgwHD/pBBLuFrg6GpappKNMO3\n+z373Y7VZs1is2K5EqG3WtfEYUQvyxj1BqRZ7pUHEgvsK6WkZtEYH+LHocilpLZhZxAE6KJms1rz\n+PzE1e0NX33zNb/69ivpAff8bDGlto7QbWgvMl7Wyz9AGz5CP6HWXt6lexwaly5iJI92JU74iEek\njv5+cX0/8PHTMkyAchpxYTel2qXcfwTU5jCXAS+NF7QGpVs42i1x8VuYOQrwOhmVLjHOnVM8MeNx\nL8nGKOmmY/YsjPGlH1VVURQF+7Lg0zefMhgNiaIQQiEnVo3NEhnZ+aJABPaTKCJOErI0FcwlTkTn\nO4zobXP2ZYFRMN8s2dUF6WbJIO8xyHr0ssxKjbQaSF6cLRXcaJj1GCQ5m92WzX7Hdr+lQsLAXVlQ\n1iUqCKhNI+B7HJOSoFAUTc16u+FpMWO6nLPbbInCkLPxCVmcMhwMORmOpIZtMBDuVSpa6o5H1NSS\njdvvdnINuy3r3YblZsN6u6asBNSPgpBB1mOQ9xn2+vR60vsvshiZa/VkEBa7NCsQ/lVsm3imUQIG\nEYmbz7l7uLccqXe8fX/J9c01s+cp+81O5Et0p8rAhf/KQaPmoD19W4vpcEjn2dOhBLwErV/O5Zf/\ndr81h4bMzd+uB/ZjHz8xw2R8eYYi8I04XgDfne1AoKUjnKgDfLvyE/dahUJ3aAH+/cZ+jnoJkruQ\n8VhTp+Nf+98eg7IGqmkazK5goefeMO32EoItVys+e/Mpp6enJFlKpAIIQmqkgLaqNTrU3nuKgpAg\nEClaKXSN6GU5u92ObbGjsLyaqmlYb9fsS8Gn4igmCgPSOCG3oU4Sp2LsrF52HqdEvUCA8azHZpez\nTWVh7oo9RV1iMKSpZAVdeY42RrhGxY6iLqUs5+SMNIrl89KcQd4jz3IReItEoztUSkT4qppaN2yL\nHVvrHS3XK7b7LfuyoKwrdKPJ0oxB3qef5fQzAe7zTPSSnPqCtjSKprE8LKR5qFcqiGMiFWK0Ybte\nM5k8cnN7w9urS767EoM0mTyymM3Z7+S7Oylb48bcjrN4T37CtXPicDa3BqgRo9T1oFxZ9TEXr2t4\n3KNdA/R9x8ewKffzQx8/McNkb7wG17/HdBsYes/Fdv3AKlVCiwe5oTzymA4lTVr8yJ72oDtv0Hm/\n4/F0z+HP/1HwXIySctekkVBop1lartF+t2O1WvE8feavfv4Lfvb5z3j96hWDwUCaX4YxJZJaF4VK\na7AD7fWWojgiV7ZTcK9HaXu31U3DviwoasGSat2w2+wpm4rAiNpkHEUkoTUcmSgW5EnmFSsjFdJP\nc5IgEgZ2X2r+UNhaNiniFX0nIVDGYcxJf0TQV5z0huRJShhGUpyrFEYjfKT91kv7aqtesK9LMUT7\ngvVeuho3uiEKJFvW6w84GY4Y9PpkWUacJCS2RZXjXjVavmvTIW86pcw0SUiihABFWZSsVise7u95\n9/6Sb9+/5d3Vez7c3fL8/Cx6SoU08DRNV0/KGZND/tz3zTP/BhDA3FMCuoZHHRil7hroQuDH4Pfx\nftj9u5uZ++dZuT/yIYtbdhkBLF8ahq7HIobl2Nh09ZuUP+9xEtW3h3IGqDMJD4yTlw3pfL7723pl\nwo1yV9Q5h91xq71mXTfCT9pseX5+YjJ94uH5iV/+7Od88dnnnI9P6fX7xFHoO9SixBCXjUE5JV0b\nSwRRSBIGJKmUgZjGtOC29c5Wuw3LzYpyV7De7yl1ha4alIEkE5C8n/akcNa1vLaM9wjBZiLbpSRQ\nAabRVE3l2z9FKiBNeoQ9CS37SYYKA4qmFoOz3bEr9qz2WzbbLVVTe/xF2/JhrTWhNGUhiiJ6QcYg\nyxkNRgz6femInKYHek8ohJpQNweto1QQ+HZWaSwZUBrNdrfn+fmZmw83vLt+zzdvv+PqwzUPkwnz\n2Zz9xtEBaJtSuiRcZ2755Iifa+3jritNZ4JB1fKzf5OhOPSKDnl8mnZedt/h/t8C6J35+xs+6099\n/OQM00EYZZBBTQ4Hu3vTX7C17ZyRXanN7HXr3fxkc/+mxYq+Lzr/KIWAFuD0n+WMFK0UCW4iNwZj\nKsxa5Hq3+x2r7Ybn+ZTJ84TJ0yO//OLnfPHmM06GY+nEEodI92cpF6lqh3m08WygAiIrIBdlob/G\nptEUZcFwN+CkPxRxtd2G5XbN2oZKq438HbjSEEtbcDcoDmP6TpIligmC0GYcrfZ1FJInOXkqUsE6\nbtB1w64qWG5WzNdLlpsVm+2WTbGjrCoMkESR0AzsuQdZzigfkCaJgP5JQpqm5GlKlolGkvOMGt2q\nNtTWU1LmUOEgjUXxMlURTVGzWC64f7jn8uqKb9+/5e37Sz7c3zGbTdku1xT7gqZu+9l150brw7Ql\nJt1581EyrkHGu2r8SLWG5tDT/hgmZDhM4HSPQ+C7PevHPKRjT+qHOn5yhglkQJzLrFCoyqCSzguc\nAemEZz6lbx9zhbnHQ+6kQewJfObNfjCgPj6InmTZ4k2OeS7G8Lh9VOumOzBWTmOZ03vDvm7QVU2x\nFd7P4/Mzd5N7/vpnv+SvfvYLPn39hvHJmDhPhfxnpAGBGCfpnisSHVokRpQiMIHgRlZ3KU5iaQeV\npVRVxaAYcFqeUpaFgPBF4dua11YDqioKyrqhMjW6bkhUJFhOHErb7apBB4YgCH24lecZaSY1ewrF\nvrJh2W5HXYrCQhSEJElEGsUMen0G/QH9Xs+Ls+VpJsL/UdtrLoxEasV1EK51I40V7PfHQIgiiMVb\nczrhSRijas16v+Jx+sTVzTXfvX/Hu/eXXP3/7Z1JjGTJWcd/38ulMqsqq2qmZ3qbsTWDZCT7ND7g\ni/HV2BeWC4uEZIGEkECAxAHLXOCIkEDcuGAkA8IIYWH5aCxx4AKWkccLxtgjjT1d3VXVXUtX1pLL\nW4JD7C8za9rdtWRlxV+qqqyX78WLePG9f3zfF1988eP39M4p/SNGgyH5WG/UYBcXW9NdhX1ZJyCZ\nPO4GTGWc3Cbxnh9EYmmsjMFmZd2JWnRm7FvKgtK8w1vcGbP8TJeNhSQmhV3cau14yHJjozdMR9U0\nHfCdEu7YW5+urQuYMsF2NuCSiKNibSzS4N159rp4tLL3FntP+4UR6KqqUIViNNBZGUdGe9k/OODJ\n/h6P93b5qQ++wet37/PKrVus9nq0O206jRbtrEmJ3opJ5/A22lRVQKGT11VVi6aZoWo2mqi29rl0\nlzoufGFsZggHIx05rqqSIi8YjceM8rH2VeUj7QAWAdEbYZZZxrjM9XR8WVFKRTGsGFclS+0WjaxB\nXhZkIqx2V1jqtVhe6tJq6en6ZrOpNaVOh060yYBev4f1A6I9MlVZusR5elmLzdIgevddQ5DNRgNR\n6LCHoyMOj4/0jNvD93j3wY95sPmAnZ0dDvb3OT49pRiOXdYDFQwwVi588Gzsowxj3KyGH5FCWZnN\nKEN9xpNHKOfW5xTCm2Zez6rP4oWzcBDOW4v776q0JVhQYqp3Bhibv1AImV7XFQiQvkL/tur2LJOs\nPsLZMsLV4ZPOyEknpyM9u0Qlqvmkeh6Zk6Y8VSqn9RSGJE5PTvQSjsM+u/t7bN3f5vV7r3Hv9h1u\n3bpFb3XV7RSimi0TvKlntiqboC3X2kUja+gNGVVJbvJBtRo6CZ0C2mVJp9NhOe/qzQkqqAw5jYuc\nvMgZjcduMS8K57S2i2stSeigRe1QzxqZO95qNlnuLLPSWaa95De3zEzeJfu/TUwHJqum8uZapfQG\nnGWpJzyyTK+f0yabXqqilCb44emAfv+Qvf19Nrcf8eOHD3jv4SbbO1vs7+1zcnTCYDggH49RpRn8\nAvKZFaNmv6/35cRLX0uHG+tBtfJqn63cRnKPl217ZqyFhb8lkr+Mq8v7vXDEZDtCascAHbFdVDpd\nR2NSadVLU5QvIOiTSAim+JNcUjmlousmQhVCTPEthJG7eFdNRJy2XK0aViilk8YVRUE+HpOPcoan\nQ54ePuXxk8c82t7i9Xv3uX/3Pvdu32FjfYO1Xo9Ot6P3Wltqaod3WeiFqcprUYJ+0fPSzO41Wvrx\niJ7xbLb0FL59RgoMwVVOs9KkFVB2pXfMHedj53h26UIaTbNrr55MaLdadDpdup2OvlfW8O0XT0SF\nydmEwmXALG3COUzaGcTMtJmp/6xBQwl5kXN8ckL/8JC9vT22dnZ4uL3Fg0ebbD3eZnd3l+N+n+FA\nL6ouizKK4p7QMKbEwNVlx7XBd66exSt8zu/gq5kDZfjdWedMv66W3jh4cwIpZHLe7+KxcMRkUR8L\n3MN3a5UEMglGMaMqT/Hz2B6fKnCBREZJ6WbUqT7K6Q+Bf0mC+2JfduUbIb5uOooYMEF6KG0qjaoh\nZVEwGJxyeHjIk91dHu1sc+f2Jq/dvsvdu/e4/6rJwrixQWe5q53fzTZZ1jBpbY0xXBnD2ERBowrn\nq0K0zyKzeZpM5bIMROnUvo5cLWEbszXPc8Zjvc6vquy+dGYZSbCrS6vVor20RKNl9pETnRZZxxpp\n8iuqksIQqtXKXDyYCI1MyDJ9fbupo7ubWUaZl5wOhuz3dZDk1vYWD7e3eLSzxePHj9nd36N/2Ndp\nSnLjRzKEG4vA5ISG71pvwk0sbzJSYSc4VFH6iRBi7Xva8BYSiwTH6pimRU0duKdc5z9dLjXJWex+\nYTeV+mYy51Qu5kVxWgXmb5wdwAa3qZZ2XmciJmTIE5PLa22vsQ7ywHcQ+Q2YfCGm6GQuDipMMBeW\n674LyjWFe3IN6uLNykBTE7/4M2s2aLXbLHe7rK6tsfHSOq/ceoXX797ng/de4/7te7xy6xa9tR6r\n3RWyZlPndzLLbSqlyMucUZ5TGg1KrA/OeI+jl06ZDA+YqHMTN1V/HrlJ76Id0ZXrFzddLnaWrEmz\naVMPm0BIM5Nms0P4Z0G0yNqm47UOdZvlgLJiPBzRP+rzZH+PB482eXfzPTa3HrHz5DEHB/ucnJww\nPB2QD8eOkCKhct0SDmRGYwx8g3U5sma9Wz2glI9TmnBA+NvVndaYMyuUa1ddc6omaMv7lnx51hMV\nE5j9tkKZRMsXwxNKKZl2fMGISWg4AgpTPsR+GydAKLK2X4KggtHLvdzU/EpWqKaMijOPSXzvOIbF\n74ARkp2Ni5q2EDluc0z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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Plotting the progress of optimisation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next two cells, we are plotting the progress of the (dis)similarity measure during optimisation with two different methods. The first one is using Gradient Descent, the second one is using the Nealder-Mead/Downhill Simplex optimiser (http://en.wikipedia.org/wiki/Nelder%E2%80%93Mead_method).\n", "\n", "TASK: Try to explain the two differernt curves" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Gradient Descent" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def command_plot_value_start(method,title):\n", " global x, ax, f\n", " x = []\n", " f, ax = plt.subplots()\n", " ax.set_title(title,fontsize=16) \n", " ax.set_xlabel('Optimization Iteration Number',fontsize=16)\n", " ax.set_ylabel('Metric Value',fontsize=16)\n", "\n", "def command_plot_value_end(method):\n", " global x, ax\n", " del x\n", " del ax\n", " plt.close()\n", "\n", "def command_plot_value(method):\n", " global x, ax, f\n", " v = method.GetMetricValue()\n", " x.append(v)\n", " if( len(ax.lines) > 0 ):\n", " ax.lines.pop(0)\n", " ax.plot(x,'r')\n", " display(f)\n", " \n", "titleSSD='SSD Registration -GradientDescent Optimizer'\n", "R.RemoveAllCommands()\n", "R.AddCommand( sitk.sitkIterationEvent, lambda: clear_output() )\n", "R.AddCommand( sitk.sitkStartEvent, lambda: command_plot_value_start(R,titleSSD) )\n", "R.AddCommand( sitk.sitkEndEvent, lambda: command_plot_value_end(R) )\n", "R.AddCommand( sitk.sitkIterationEvent, lambda: command_plot_value(R) )\n", "\n", "R.SetTransform(sitk.Transform(fixed.GetDimension(), sitk.sitkEuler))\n", "\n", "R.Execute(fixed,moving);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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cMzG8hVODmDwZzj8fNt3UJgjdZpukJXKcGkvSC7D1TBO8DPMWm6yqq7IsV1Zw\nhVPDWLkS7rrLHAouvxz+9jeol5Fnv+M4FaBg+3AKGVc4NZQvvoALLoBFi6B/f5+twHGyTI2bacBx\nKk2bNvDCC7b66CGH2IDR5cuTlspxnHIotYUjIhNZ7bpc5jmwCQIOzKZg2cBbOLWAr7+2JRA++wwG\nDoQOHZKWyHGqPUm0cCRsdcrZUukcJ/9sthmMHAlXXmlzs/Xta309juMUHN6H49Qcvv7a5mebP9+m\nydlpp6QlcpxqiffhOE55bLYZPPec9e0UFdnEoCVlefQ7jpNPKroAWzNgO6BhPE5VX8miXFnBWzi1\nmM8/t1VGGzWCAQOgVaukJXKcakPS43AaAY8CPUjfX1Oh5QnyhSucWs6qVTZm5667bDvllKQlcpxq\nQdIK55/YBJqXA4OAXtjAz57YYmiXqOrobAtXVVzhOABMmQKnnQbt29tS182aJS2R4xQ0SffhnABc\nDzwR9iep6qOq2hV4H+iWbcEcJ2vssYcpnU02sZmnX3wxaYkcp1aSqcLZEvgQWAWsBNaJxPUH/phl\nuRwnuzRpAvfcA/36wRlnQO/esGJF0lI5Tq0iU4WzCFsUTYG5QPtI3EbYmjSOU/gcdhhMnQoffQT7\n7QezZiUtkePUGjJVOJNYrWSeBm4QkatF5ArgduC1XAjnODlhk01g1Cjo2RP23RcGDUpaIsepFWTq\nNLAXsKWqDheR9TCPtWOAusBbwMmq+mVOJa0E7jTglMu0afDHP1o/z/33w7oFt46g4+SdvDsNiMhE\nETlTRNZR1bdVdTiAqv6kqicA6wLNVHXfQlQ2jpMRu+wC77wDjRvbPGxTpiQtkePUWMoyqW2NtWS+\nEZFBInJQNFJVl6nqjzmVznHyQZMm8NBDcOONNh/bPff4yqKOkwPKmi1agCLgDMwtuinmMPAYMFBV\nZ+ZJxkrjJjWnwnz2GfToYUsgPPIIrL9+0hI5Tt7Ju0lNjYmqehbQAjgNmI4N/vxYRCaJyIVhuhvH\nqRlssw28/jo0b24mtnffTVoix6kxVHi2aBFpCZwKnA7sAiwHRod+nYLCWzhOlRg2DC66CG66Cc49\nN2lpHCdvFNwS0yKyDjb7wGX4XGpOTWXmTOjeHfbeG+6915wLHKeGk/TUNikh6ojIISIyGFiAKZtP\ngH9kWzDHKQjatYNJk2DJEhuz8/nnSUvkONWWjBSOiOwiIrcCc4AXgCOBwcC+qrq9qt6UQxkdJ1ma\nNoUhQ+B1LVxEAAAgAElEQVSss0zpjB+ftESOUy0py0utBXAK5qW2KzaP2gvAQGCUqi7Pl5CVxU1q\nTtZ55RUbKHrZZXD55SC+urpT88h7H46IrMRmEpiGKZnHVXVBtgXIJa5wnJzw1VfWr7P11tC/P6yz\nTvnHOE41Iok+nPuADqq6m6r+u7opG8fJGa1aWUunYUPYf3+YNy9piRynWlDWOJxLVXVqtjMUkf4i\nskBEpkXC+orIXBF5L2yHR+KuEpFZIjJDRA6NhO8hItNC3N3ZltNxyqRxYxg4EE480TzYfEocxymX\nCnmpZYlHWXvBNgX+raq7h20MgIjsiK21s2M45v4wAwLAA8A5qtoWaCsivgick19EbF2du++2KXGG\nD09aIscpaPKucFT1VeD7NFHp7IXHAkNVdaWqzgY+BTqFwafrqurkkG4QcFwu5HWccuneHcaOhUsu\ngdtu83nYHKcUkmjhlMZfROR9EXlERDYIYZth87elmAtsniZ8Xgh3nGTYYw94800YPBh69YLffkta\nIscpOOolLUDgAWzWAoAbgDuAc7Jx4r59+/7+v6ioiKKiomyc1nHWplUreO01+MMf4Ljj4IknbAyP\n4xQ4xcXFFBcX5zyfTBdgawA0UNVf0sQ1BVaoasYLxItIa+BZVd2lrDgR6Q2gqjeHuLFAH+BLYKKq\n7hDCTwa6quqfYudyt2gn/6xcCX/+sy1lPXo0bLpp0hI5ToVIemqbfsBDpcQ9CPy3KkKEPpkUx2Nj\nfwBGASeJSAMRaQO0BSar6jfATyLSKTgRnA48UxUZHCdr1K8PDz8MRxwBXbrAl74+oeNA5ia1IuCK\nUuJGAbdnmqGIDAW6AhuLyFdYi6VIRNpj3mpfABcAqOp0ERmGLYvwG3BhpMlyITAAaIzNVj02Uxkc\nJ+eIwPXXw8Ybm9IZMwZ22ilpqRwnUTI1qS0DDlfViWniDgTGqGrDHMhXJdyk5hQEjz8Of/0rjBoF\nnTolLY3jlEvSJrWF2Hxq6dgZWJQdcRynBnLqqTYFztFHw8svJy2N4yRGpgrnWeAaEdktGigiuwLX\nhHjHcUrjyCNh6FDzYBs3LmlpHCcRMjWpbQK8AbQBJmNjYLYAOgKfA/up6sIcylkp3KTmFByvvWYD\nRfv1g2OOSVoax0lLoia1oEw6AjeFY3YPUTcCexWisnGcgqRzZ3OVPv98GDEiaWkcJ69Ueonp6oC3\ncJyC5d134fDD4b//tUGijlNA5KqFUygzDThO7aJDB2vpHHEE1Knj5jWnVlDWAmwTgT+r6ozwv7Sm\nggCqqgfmSMZK4y0cp+B5+21zKOjfH446KmlpHAdIpg9HYv/rlLJJLK3jOJmy117w3HNw9tkwYULS\n0jhOTvE+HMcpBF59FU44AUaOhP32S1oap5aTmJeaiDQUkZEisn+2M3ccJ9Cliy1t0L27ORQ4Tg2k\nXIWjqsuBgzNJ6zhOFTjsMHjwQevT+fjjpKVxnKyTqZfaG8DeQHHuRHEch+OPh19/NeXz6quw1VZJ\nS+Q4WSNThfNX4H8i8iswEphPzGtNVUuyLJvj1E5OOw0WLYJDD7WZCTbZJGmJHCcrZDq1TXnKRFW1\nbnZEyh7uNOBUa665Bl54AV56CdZdN2lpnFpErpwGMlU4fctLo6rlpsk3rnCcao2qrRw6a5YNEm1Y\ncCuAODWURBVOdcUVjlPtWbUKTjrJFnQbOhTqFpwhwamBJDp5p4j0D0s8p4vbSkT6Z1csx3EAUzCD\nB8PChXDppdbqcZxqSqauzj2B0nouNwnxjuPkgkaN4Jln4JVX4Oabk5bGcSpNNibvbA4szcJ5HMcp\njfXXhzFjbBaCFi3grLOSlshxKkypCkdEjgeOZ/U8aX1F5LtYsiZAF2BKbsRzHOd3NtsMxo6Frl1N\n6Rx+eNISOU6FKKuFsxUQnc6mPbA8lmY58DpwVZblchwnHe3a2cJtxx5rymePPZKWyHEyJlO36NnA\ncao6NecSZRH3UnNqLCNHQq9e8Prr0CatP4/jVJpEF2BT1dbZzthxnCpw/PEwb56Z1V5/HTbaKGmJ\nHKdcMp6QU0S2EJE7RWSKiHwhIjuH8MtEpFPuRHQcJy0XXQRHH23mtaXut+MUPpmOw9kJ+AA4Dfga\n699pEKK3Ai7JiXSO45TNLbfAFlvAGWdAiU9n6BQ2mbZw7gA+BrbGPNeivAHsk02hHMfJkDp1YMAA\n+PZbuPzypKVxnDLJVOF0Bm5R1Z/TxC0AWmRPJMdxKkSjRuZEMHo03HNP0tI4TqlkOvCzhNhyBBE2\nxgd+Ok6ybLjh6oGhW2xhK4c6ToGRaQvnbeDsUuJOxMbiZESYl22BiEyLhG0oIuNF5BMRGSciG0Ti\nrhKRWSIyQ0QOjYTvISLTQtzdmebvODWW1q3h2WfhggvgzTeTlsZx1iJThXM9cLSIjAdOD2EHi8gg\noDvwzwrk+SjQLRbWGxivqtsBL4Z9RGRH4I/AjuGY+0Uk5Rv+AHCOqrYF2opI/JyOU/vo0AEGDbIW\nzqxZSUvjOGuQkcJR1ZeBY4E2wCMh+Gasb+dYVX0r0wxV9VXg+1jwMcDA8H8gcFz4fywwVFVXqups\n4FOgk4i0BNZV1ckh3aDIMY5Tuzn8cLjuOjjiCJtl2nEKhIwn71TV54HnRaQtsCmwCJiZpaH8zVV1\nQfi/AJsQFGAzIKrM5gKbAyvD/xTzQrjjOADnnw9ffgnHHGMrhjZunLREjlPx2aJVdRaQs7a6qqqI\nZG0+mr59+/7+v6ioiKKiomyd2nEKmxtvhNNPh1NPhaee8sXbnFIpLi6muLg45/mUOpeaiBxE6Z5p\na6GqL2WcqUhr4FlV3SXszwCKVPWbYC6bqKrbi0jvcO6bQ7qxQB/gy5BmhxB+MtBVVf8Uy8fnUnNq\nN8uXQ7du0L493Hln0tI41YQk5lIbjymcTDJVoCqfT6OAM4Fbwu8zkfAhIvJvzGTWFpgcWkE/hSl1\nJmOODD4AwXHiNGxos0t37gx33WWrhjpOQpRnUvsFGB62X8hM+ZSJiAwFugIbi8hXwLWYA8IwETkH\nmA30AFDV6SIyDJgO/AZcGGmyXAgMABoDo1V1bFVlc5waSbNmNih0v/1gyy19jI6TGGWZ1LpirY0T\nMG+2EcAgVX0xf+JVDTepOU6Ed9+Fww6zsTp77520NE4BkyuTWrnr4YhIY2z+tDOAg4D5wOOY8vk4\n2wJlE1c4jhPjuefgvPPgjTd8HR2nVBJTODEhWgKnYn0mOwMPqmqvbAuVLVzhOE4a7r0X7rvPlE6z\nZklL4xQguVI4Ga+HE1iE9bHMDvteWx2nunHRRea5dsIJsGJF0tI4tYhMl5jujLVqTgQaYl5kg7Dp\naAp2EQ5v4ThOKaxaZQpngw3g0UdBsv4x61Rj8m5SCzMKnI4turYV8AqmZJ4uZZmCgsMVjuOUwa+/\nwv77m+K5+uqkpXEKiCQUTgnwEzASGIwNtiz17a2qn2dbuKriCsdxyuHrr81j7fbboUePpKVxCoSk\nFE6mqKoW3LwZrnAcJwPefx8OOQRGjXJ3aQdIZqaB0ta/cRynJrHbbtaP0727ea61bp20RE4NpUJu\n0dUNb+E4TgW45x546CFTOuutl7Q0ToIUxDic6oYrHMepAKpw4YUwZ46Z13x26VpLoYzDcRynpiJi\nrZzly+Hvf09aGqcG4grHcZzV1K9va+eMHm3mNcfJIhVegM1xnBpOs2Y251rnzrDttnDggUlL5NQQ\nvIXjOM7atG0LQ4fCKafAp58mLY1TQ3CF4zhOeg48EPr2haOPhh9+SFoapwbgXmqO45TNX/4Cs2aZ\nma2eW+FrA+6l5jhOMtx5J5SUwOWXJy2JU81xheM4TtnUqwdPPmmea488krQ0TjXGTWqO42TGzJnQ\npQuMGGEebE6NxU1qjuMkS7t2MHgwnHgifPll0tI41RBXOI7jZM5hh8GVV8Ixx8AvvyQtjVPNcJOa\n4zgVQxXOPRe+/x6efhrq+HdrTcNNao7jFAYicP/9sGAB3HBD0tI41QhXOI7jVJyGDWH4cPNaGzEi\naWmcaoKb1BzHqTxTpkC3bvDSS7DLLklL42QJN6k5jlN47LGHLWlw7LHw3XdJS+MUON7CcRyn6vTu\nDZMmwbhxtsSBU63xFT8rgSscx8kTq1aZq3SbNnDvvUlL41SRWmFSE5HZIvKBiLwnIpND2IYiMl5E\nPhGRcSKyQST9VSIyS0RmiMihyUnuOLWcunVhyBCYMAEefjhpaZwCpaBaOCLyBbCHqi6OhN0KfKeq\nt4rIlUAzVe0tIjsCQ4C9gM2BCcB2qloSOdZbOI6TTz75xKa98elvqjW1ooUTiF/kMcDA8H8gcFz4\nfywwVFVXqups4FOgY14kdBwnPdttB4MG2fQ3c+YkLY1TYBSawlFggoi8IyLnhbDmqrog/F8ANA//\nNwPmRo6di7V0HMdJkm7d4K9/heOPhyVLkpbGKSAKTeHsp6q7A4cDvUSkSzQy2MfKspG5/cxxCoG/\n/90m+zzvPJsKx3GAglq+T1Xnh9+FIjISM5EtEJEWqvqNiLQEvg3J5wGtIodvEcLWoG/fvr//Lyoq\noqioKDfCO46zGhHo18+WM7j9dl+8rcApLi6muLg45/kUjNOAiDQB6qrqzyKyDjAOuA44GFikqreI\nSG9gg5jTQEdWOw1sG/UScKcBx0mYOXOgUyd49FEztTnVglw5DRRSC6c5MFJEwOR6XFXHicg7wDAR\nOQeYDfQAUNXpIjIMmA78Blzo2sVxCowtt4Rhw+CEE+C118ypwKm1FEwLJxd4C8dxCoSHHoI774S3\n3oL1109aGqccfKaBSuAKx3EKiF69bKXQ//3PBoo6BUttGofjOE5N5K674Ndf4R//SFoSJyFc4TiO\nkx/q14ennoInnoChQ5OWxkkAN6k5jpNfPvgADjoIxo615Q2cgsNNao7j1Ax23RX++1+bieCbb5KW\nxskjrnAcx8k/3bvDOefY7/LlSUvj5Ak3qTmOkwwlJdCjB6y3HjzyiM1O4BQEblJzHKdmUacODBgA\nU6bA3XcnLY2TBwpppgHHcWobTZvCqFGwzz6w/fY+/U0Nx1s4juMky1Zbmbv0GWfAjBlJS+PkEFc4\njuMkz377wa23wtFHw+LF5ad3qiXuNOA4TuFw+eXw7rs2Rqd+/aSlqbX4XGqVwBWO41QzVq2C446D\nli1trI57riWCe6k5jlPzqVsXhgyBSZNsdmmnRuFeao7jFBbrrgvPPmuea23bWr+OUyNwk5rjOIXJ\n5Mlw1FEwbhy0b5+0NLUKN6k5jlO76NgR7rvPWjhffZW0NE4WcJOa4ziFy4knwpw5cPjhtkT1Bhsk\nLZFTBdyk5jhOYaMKl15qyxqMHQsNGyYtUY3H3aIrgSscx6khrFplE302bAiPPWbzsDk5w/twHMep\nvdSta4pmzhy45BJr9TjVDlc4juNUDxo3huefh7fegiuucKVTDXGF4zhO9WH99eGFF8xVuk+fpKVx\nKoh7qTmOU73YcEMYPx6KiqxP5+qrfQqcaoI7DTiOUz2ZPx8OOwx23NHmXVt//aQlqjG404DjOE6U\nli1tzrUNN4QOHWxmgijLlnk/T4HhLRzHcao/w4fDn/9sZrb58+Gzz+Dbb+Hgg+GJJ3zAaAXxcTiV\nwBWO49Qi5syBl16C1q1hm22geXNbX2fsWFvGul27pCWsNrjCSYOIdAPuAuoC/VT1lli8KxzHqe30\n62eOBYMGQbduSUtTLfA+nBgiUhe4F+gG7AicLCI7JCtV+RQXFyctQloKUS6XKTNcpnI491wYMQLO\nPpviNm2gVy948kmYPRuWLEm8n6egyirHVFuFA3QEPlXV2aq6EngCODZhmcqlUCtXIcrlMmWGy5QB\nnTvDnDkUH3IIbL21LfLWpQtsvDE0amQOCJ06wQUXwAMPwJtvwoIFUFKSc9EKrqxySHUeh7M5EJ2z\nfC7QKSFZHMcpdOrVg802g7/9zbYUS5fC4sXW4nnvPZgyBR55BL78En780fqCWrY05bTRRvbbrJnN\nfNCkif02bmyKK7XVr29bvXq21aljY4VE7H/duqu3H3+05ReiaVLjiqL/U/vpfuPxAA0aQNOmWS/G\nqlCdFY53zjiOU3UaN4bNN7dtv/3WjFuxAr75Br7+GhYtgu++s9/vv4effjKT3NKl5oKd2pYuhZUr\n4bffVv+qrt5KSmwy0t9+s9/vv4ennlodlzLxpdKniIZHf+PxKXr0gAcfzF45ZYFq6zQgInsDfVW1\nW9i/CiiJOg6ISPW8OMdxnIRxL7UIIlIPmAkcBHwNTAZOVtWPExXMcRzHSUu1Namp6m8ichHwAuYW\n/YgrG8dxnMKl2rZwHMdxnOpFdXaLLhMR6SYiM0RklohcmZAM/UVkgYhMi4RtKCLjReQTERknInmd\nc0NEWonIRBH5SEQ+FJGLk5ZLRBqJyCQRmSoi00XkX0nLFJGtroi8JyLPFpBMs0XkgyDX5EKQS0Q2\nEJGnReTjcA87JVyn2oXySW0/isjFBVBOV4Vnb5qIDBGRhgUg0yVBng9F5JIQlhOZaqTCKaBBoY8G\nGaL0Bsar6nbAi2E/n6wELlPVnYC9gV6hbBKTS1WXAQeoantgV+AAEemcpEwRLgGms9orshBkUqBI\nVXdX1Y4FItfdwGhV3QG7hzOSlElVZ4by2R3YA1gCjExSJhFpDZwHdFDVXbCugJMSlmln4FxgL2A3\n4CgR2SZnMqlqjduAfYCxkf3eQO+EZGkNTIvszwCah/8tgBkJl9UzwMGFIhfQBHgb2ClpmYAtgAnA\nAcCzhXL/gC+AjWJhickFrA98niY88bIKeR8KvJq0TMCGmKNTM6z//FngkIRl+gM2LVhq/xrgilzJ\nVCNbOKQfFLp5QrLEaa6qC8L/BUDzpAQJX1y7A5NIWC4RqSMiU0PeE1X1o6RlAu4ELgeiw82Tlgms\nhTNBRN4RkfMKQK42wEIReVRE3hWRh0VknYRlinISMDT8T0wmVV0M3AHMwTxrf1DV8UnKBHwIdAkm\ntCbAEdiHVk5kqqkKp1p4Qqh9PiQiq4g0BYYDl6jqz0nLpaolaia1LYD9ReSAJGUSkaOAb1X1PSDt\neIQE799+aqaiwzGTaJeE5aoHdADuV9UOwK/ETDBJlZWINACOBp6KxyVQp7YBLsWsHpsBTUXktCRl\nUtUZwC3AOGAMMBVYlSuZaqrCmQe0iuy3wlo5hcACEWkBICItgW/zLYCI1MeUzWBVfaZQ5AJQ1R+B\n5zG7e5Iy7QscIyJfYF/HB4rI4IRlAkBV54ffhVi/RMeE5ZoLzFXVt8P+05gC+ibpssKU8pRQVpBs\nOe0JvKGqi1T1N2AEZv5PtJxUtb+q7qmqXYHvgU/IUTnVVIXzDtBWRFqHL5w/AqMSlinFKODM8P9M\nrA8lb4iIAI8A01X1rkKQS0Q2TnnBiEhjzK79XpIyqerVqtpKVdtgJpmXVPX0JGUCEJEmIrJu+L8O\n1j8xLUm5VPUb4CsR2S4EHQx8hPVRJFZWgZNZbU6DZO/fDGBvEWkcnsODMYeURMtJRDYNv1sC3YEh\n5Kqc8tU5le8N+7KZCXwKXJWQDEMxW+0KrE/pLKzjcAL2FTEO2CDPMnXG+iSmYi/19zBPusTkAnYB\n3g0yfQBcHsITLauIfF2BUYUgE9ZfMjVsH6bqdgHItRvm7PE+9uW+fgHItA7wHbBuJCxpma7AlPE0\nYCBQvwBkeiXINBXzFs1ZOfnAT8dxHCcv1FSTmuM4jlNguMJxHMdx8oIrHMdxHCcvuMJxHMdx8oIr\nHMdxHCcvuMJxHMdx8oIrnAJGRA4VkTEi8p2ILBWRmSJyc1WmCheRS0Xk+DThfUWkJN0xlcynp4iU\nhMFkWSWc+6x85lmOPANE5KvI/vqhPHfPpxwxmdoHGZqliSsRkWvzLE9RyHeliLRNEz9XRB7Np0wh\n31Sd2TrfeddGXOEUKCJyNTAWm1b9HGxE+YNAT+BtEdmikqe+FFhL4QAPY8sVZIvnwvm+yeI5U/QE\nzs5znuURHdDWDLgWmxg1KdoHGdZSOFgZ9cuvOL9TF7g+TXhi8wo6+aPaLjFdkwkTV94A3Kmqf4tE\nvSoiI4EpwCDgwMpmEQ9Q1XnYHHRZQVW/w0Z5540k8oyQboLPtJN+VurkNhVKPVVdWdFD4wGqOjk7\nUlWKcUAPEfmXqn6QoBx5Q0QaqurypOUoCPI5hYJvGU81MQabLK9BKfGpKfM7RsJKgBuB/8MmU1wC\nvAzsFkkzO6SLbv1DXF+gJJZPCab4LsemVP8Fa0VsArTEJgD9EfgSuCJ2bM9w/JZhf0CavFPb/iHN\ntsBg4PMg/2fA/USm1QCK0xz/Uro8Q1j9UC6zgeXYWjI3YC/vVJrW4bjzsa/vr7FJDEcBm2dwvwYA\nX8XOFd/OiKTvDryFzar8PTAMaBU75+xQFmdjc3CtAI4NcddhUwH9CCzEFsjqlKbs49uWkfvaJ5Zf\nN+DNUO4/YJOCbhdLUwy8is0B9m6QfxpwXAZlVBTyPQqrn6Ni8V8R6mJp9zLH9bQLNl/Yz9hHy71A\no1jaJtjMyl+EuvQ5cDXYjC2x6zwesxosBL5P+p1SKFviAvgWuyHW6lwCPF5Gmu1Dpe4dCSsJD9ur\nwDFAj/Ci+g5oFtK0x16mo7EZhjsCbUJcX2BVLJ+S8JA+i81Nd1Z4cF8AJoeH7UDM1FcCHB45do0X\nBrB1JM+OQCfgtfCAtw5pugD/Ao4L/8/E5sN7I3LeHbAW3nuRc22fLs8QNgRb5bQv9qLsg728H4+k\naR2O+wJ4DDgMOCO8LCZmcM8GsFrhNAjypz4AUjJuHOL/FOL6YS/5HtgEjp8DTSPn/AJ7MX+ATT57\nALB1iOsX5OuKrV8yFHsB7hziN8YUZwmm3FIyNIjc12sjeXXDpqR/AVMIJwOzsI+ezSLpJmL150Pg\nlFBO40L5blNOGRWFfA+MlEFUSVZE4eSinn4J3BrqyP+F8nw09ly+ij1PF4f7cTWwFLg9zXXOBR7C\nTOHHJP1eKZQtcQF8i90QW+ioBPhnGWkahTT3RsJKwguicSRsK+zlen0k7AtgUJpz9iX9l+MMoE4k\n7I4QfnUkrC62SFO5L4xI/N+B38p6GMNDnppstH0kvBh4JU36NfIEdib2cg3h/xfCdwn7rYm0lCLp\n/hbCW5RzzwYQFE7sfGfH0jUNL8J+sfDW4QV3SSRsNvalvmk5edcN5TQDuCtNWWyd5pi4wnkHU+x1\nYjKtAO6IlftyIsoFa0X8RjkT5LKmwqmHTao7IRJf1RZOVevp/bFzXh2ua9uwf3pI1zlNuuWs/qBI\nXefwTJ732ra500DNYrSqLk3tqOqXmOlmnyqcc7yqRr3XZobfFyL5rMJeIBk5MojI0cDNmHljVCS8\ngYhcLSIzRGQJ9sJ7JURvl+ZU5bF/+H0sFv5YLD7F6Nj+h+E3W15v+wDrAkNEpF5qw76GZ6aR5y1V\nXWsdEhE5WEQmish3WOtiBVY+FS6jsMTB7sCT0fusqrOB17FWVJRZqvpZJN1C7EOnFRmithZMX2yN\noYNSolRU9hhVrafDYvtPYk5VHcN+N6wV9Gbs3o3HzLZxh5uRlbqKGo4rnMJjEbAM+8IsjVTcV7Hw\nBazNt1Rtee3vY/srSglfibW8ykREdsPMXP1U9d+x6H9hJq9BmKloL8wkRCbnTsOG4Xd+LHxBLD7F\n4th+qqO3MnmnY9PwOwErx+i2c0weZW25EZEOmGL8Cevf6YSV0/uVlLMZ9rJfKy+snMorI7Byqmje\nj2NT4t9YweNKo6r1NP7spPZTz86mmMUgpeBT2yTsXm0UOz5dedZ63EutwFDV30TkZeDQMrxbjgm/\nL8XC06073pwCWe00rCD4LPAGcGGaJCcBA1X1psgx61Uhy9TLsSXWR5KiRSw+XywKv2diL9s4P8f2\n07kJn4C96LqHL3YARGRD1n65ZsL3IZ8WaeJasFrmrKKqKiL/AEaIyDGsfa3Lwm+DWHj8xZ4tWgAf\nR/ZTz1LKc3MRZo4+sZTjv4ztu4t3GryFU5jcjj1YN8UjRKQNcCXwsq5e0jfFESLSJJK2NdbUfzOS\nZjnmbZNXRKQR5gX0E/CHmPkjRWPMbh5lrQGeZH4NL4ffk2Lhp4bf4gzOkSnRF0zqI6FxLM3rmFJp\nq6rvptlmZZBPE6yP4HdE5EDWNmktj6QvXWjVXzEnjB4i8vv7QES2wpbZLs5Apkqhtrz525iHWdyk\nlnqB7xKRqR7WCZ+Ll3mP2P5JWDlPCvtjsDL+tZR7lxPFXNPwFk4Boqovikgf4LqgNAZjX6IdgN7h\n/+lpDl0GjBOR2zCzwXWYi+udkTTTgS4iciRmNlgY+nqyQVl2+LuwvoKewE42rOR3PlLVn7GBrmeK\nyDTMJbo76fufPgIuFJEeWMvlJ1X9JJ5IVT8SkaFA3/CyejOc7xpgiKqma2VUlugFLcC+iE8O17IE\n+FxVF4vI5cB9IrIJdr0/YmabrphH3NA054syBrgEGCAiA7B+m2uwL/HoMalr6yUigzBT0PuafhzP\nP4DngedE5AHMueE6rJ7dUcZ1lhWWKf+HebrFmYzVgduCIlyBtYobVDE/Sjn+cBG5FeuT6YgNmh0Y\n6a96HPv4eVFE7sC8BxsA2wBHY67hS9c+rRPFWzgFiqregLl4rgP0xzo//4R5RO2pqunMZAOxF8e9\nId0C4CBV/SGS5iqsQ3UY9lD3iWabqXilhMXDo/vtsA+cxzGTWmp7ndUj8v+CjX35J/AEdu0np8nr\nFmzsSb9wDQ+WIVvPkP5srGzOwhwWzizl2tJdVyZpfk8XWm/nYv0jE7Cv5KNC3EOYSbQd1lf1PHYP\n6mCu3mXmq6rjMLfc/TDzZE/s4+PTmAwfYB3zR2PuvJMw02K6c74AHAlsgHWWP4AprM6qGp21Id09\nLlXWTNKp6gSsFaWx8FXAsVg/5QDgP9gzMKAq+VF6PT0NU94jgMswl+bfzb7B0eEwbGzN+dh9ewwr\n+8+PehYAAABlSURBVNdZ3WdUWr4O+BLTNYUwD9qNqprXObIcx3EyxVs4juM4Tl5wheM4juPkBTep\nOY7jOHnBWziO4zhOXnCF4ziO4+QFVziO4zhOXnCF4ziO4+QFVziO4zhOXnCF4ziO4+SF/wdVQWMF\n8+XBhAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Downhill Simplex" ] }, { "cell_type": "code", "collapsed": false, "input": [ "titleNelderMead='SSD Registration - Nelder-Mead Simplex'\n", "R.RemoveAllCommands()\n", "R.AddCommand( sitk.sitkIterationEvent, lambda: clear_output() )\n", "R.AddCommand( sitk.sitkStartEvent, lambda: command_plot_value_start(R,titleNelderMead) )\n", "R.AddCommand( sitk.sitkIterationEvent, lambda: command_plot_value(R) )\n", "\n", "R.SetTransform(sitk.Transform(fixed.GetDimension(), sitk.sitkEuler))\n", "R.SetOptimizerAsAmoeba(simplexDelta=3,parametersConvergenceTolerance=0.01,functionConvergenceTolerance=0.01); \n", "\n", "R.Execute(fixed,moving);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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CsBx7856EBcq3jNX5eZD3h3DfnpylbT3CvbICUwx3Yi9gFWZ/Ae2BazCF8l24dxZhsZwT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\nTx3I6jiltG8Pb7wBPXpYijG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3AnAd8E2os2MoPxXoq6oXJo7lMZWGxMCB0K4d3HprviVxnEZNTWIqNRr6PvSu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\nTx3I6jiltG8Pb7wBPXpYijG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