Skip to content

Instantly share code, notes, and snippets.

Show Gist options
  • Save tritemio/aaae9ef8bfaa53d7d7ba09d2245f0063 to your computer and use it in GitHub Desktop.
Save tritemio/aaae9ef8bfaa53d7d7ba09d2245f0063 to your computer and use it in GitHub Desktop.
PSF and particle positions at photon emission times.ipynb
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# PSF and particle positions at photon emission times"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Loading the software\n\nImport all the relevant libraries:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "%matplotlib inline\nfrom pathlib import Path\nimport numpy as np\nimport tables\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nimport pybromo as pbm\nprint('Numpy version:', np.__version__)\nprint('PyTables version:', tables.__version__)\nprint('PyBroMo version:', pbm.__version__)",
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": "Numpy version: 1.15.4\nPyTables version: 3.4.4\nPyBroMo version: 0.7+19.g33162bc\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import fretbursts as fb",
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": " - Optimized (cython) burst search loaded.\n - Optimized (cython) photon counting loaded.\n--------------------------------------------------------------\n You are running FRETBursts (version 0.7+9.g1685418).\n\n If you use this software please cite the following paper:\n\n FRETBursts: An Open Source Toolkit for Analysis of Freely-Diffusing Single-Molecule FRET\n Ingargiola et al. (2016). http://dx.doi.org/10.1371/journal.pone.0160716 \n\n--------------------------------------------------------------\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Burst analysis"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "code = 'e30f'\nfilepath = list(Path('./').glob(f'smFRET_{code}*'))\nfilepath",
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": "[PosixPath('smFRET_e30f27_P_3_s0_1_s3_D_1.2e-11_6.0e-12_E_75_35_EmTot_200k_180k_BgD1500_BgA800_t_max_1s.hdf5'),\n PosixPath('smFRET_e30f27_P_3_s0_D_1.2e-11_E_75_EmTot_200k_BgD1500_BgA800_t_max_1s.hdf5')]"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "d = fb.loader.photon_hdf5(str(filepath[0]))",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "d.calc_bg(fun=fb.bg.exp_fit, tail_min_us='auto', F_bg=1.7)\nd.burst_search(F=7)\nds = d.select_bursts(fb.select_bursts.size, th1=20)",
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": " - Calculating BG rates ... [DONE]\n - Performing burst search (verbose=False) ...[DONE]\n - Calculating burst periods ...[DONE]\n - Counting D and A ph and calculating FRET ... \n - Applying background correction.\n [DONE Counting D/A]\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "ds.num_bursts",
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
"text/plain": "array([4])"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "fb.dplot(d, fb.timetrace, bursts=True);",
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAssAAAEuCAYAAAB4aV93AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4wLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvFvnyVgAAIABJREFUeJzs3Xd4FVX6wPFvCimEQOgiRZZ2qAKiFMUFFMWGXVkr2Lvu6qr7U3Zd19Vd6666VkAFRREpYgcCSO8JLYSXEAiBEAiEEFJIv78/ztybm5CbhEAK5v08Dw+5c6ecmXNm5j1nzpzr53K5UEoppZRSSh3Pv7YToJRSSimlVF2lwbJSSimllFI+aLCslFJKKaWUDxosK6WUUkop5YMGy0oppZRSSvmgwbJSSimllFI+BFb3BowxLmALUOg1eZ2I3GuM+RU4C0h3pgcAwcA/RWRKOcsDXAs8Cfze+dwT2AUccz4PEZFjnCBjTBNgEtAdW5mYLCKvOt91db5rAWQCd4rINmNMADAL6AG8A6wG/guEOfv0qoh8YYy500mzWxOgHdBORA6Uk6YEINfZNxcQBMwDnhKRonKWCwLeBS50Jv0MPCMipY9lpRhjrgT+hc2jTcA9InK0ksveDVwnIqOrsm1nHe2xx7819ri+LiKTK1hmHPA2tmzgLJcA/F1E1ldyu37AZ8BmEXnDxzy3A09j8ycbeFxE1lVm/WWsqy/wi4i0KeO7fwDNROTRSqwnFHgduABbFieIyOtlzNcQmAj0x5b5Z0Xk2yqmPRj4AfhIRGY401oCHwFdsNecH51tlFd2OwLxwOYyvh4oInnlLLsCaOg9CbvvjxtjHgOeB/Y732WIyIWl11FqfT7LXRXX93fgESCp1Fe/iMhfylvWax09gS+dj82w1xJ3GZ8sIv8pZ9kHAETkowq20Q14H2gJNAA+FpH/Ot+dj73WNQL2ALe7r2HGmPHA7di8niIi/3Cm7wWuEpENldlHr3T4A1Ow9w339gOdtA11Zvse+IuIuIwxBptfzYAM4A4R2W6MudfZ/rUnsO0vgBHAQcAPe+2bCzxZ3nXUSV8+xfcuP6AAeww/KjVvU2Ap9hhucKb1B5ZgzwG3G0QkvirHvpx0dgGE4vMsAMgC/iQiK8tb1msd12HvfzeKyMxSx+CE8shZ7l7gKWcf5jppya8gDZ8Ab4vIxsqkuTYYYy7HxjYDTmIds4HfOR/7Uly+DonIyAqWPQv4ADgDe2yfFJFI57tngDuddR0AHhCRXaW2B9AJiBSR66u6DxWkcQFwP/baGC0iPZxz0HPun6LtPAE8jI2pYoBHRORIectUe7DsGCEih3x897T7pgpgjDkXWG6MmS0iGRUs/7jXcgnAbVUNULy8BOwVkRuNMWFAjDFmiXPhmAr8V0S+dAr+DGNMH6AtMAobkBQBu4G7RSTSGNMOiDLGrHYqAO5KQAPsxfDf5QXKXjz75gTBi7GZ/b9ylnkUe6PrjQ2ClgI3A1+dyAFxttkS+BS4QETijDGvAv920lDecs2AV4DbnDSfjPeAn0Tkv8aY1kCcMWaBiOytYLmlInKVV5pGAr8YY84Vkd0VpL+Hs91BlB244Vz4XwfOEZFkY8wV2JtHh0rvGZ6by2PAs9gbofd37bAVsMux+VAZr2JvRuc669tojFkqIqtKzfd3INO5MHUAVhpj1lXiuJZO/xDsseqODY7d/gNsFZHrjTEh2IreOOCTClZ5TET6nUgaAETkfK80XY0tp391Jp2PvUl8WdayPpRX7qqyPoCvK1Ph8UVEtgL9wFMhvNG7jFfgQqAy18kpwIci8pkT0K0zxkRhGwOmO9tc5VQYJgBXO8f7WuAcbMVxvjFmi4jMOoHd8zDG9MIGXOeWSvM47E28DzbAW+X8m429vv1bRKYbY0YD32ADi6p63StID3W2cyPwdSWWvdB9E3auoT8aY0JE5G1n2mjgTaBjqeXOBz4XkRLXV6cyeqqPfYb3eWaMuRV7bvaoxP6BvQdMBf4EzPSaPo4TzCNjTD/suToAOAxMw14T36ogDZdiKxB1jtMY8VfgIWxDTZWJyHXOOt2VMU/5qiANfsBP2PhlghNnzTXGnAFcDNyBbWDMMMY8jq3IXOTenrOOwRTnxynnxDXtnQrhxdiyUh3bGYmtjA0WkX3GmLuAD4E/lLdcucGyMaYR9sbcFRsErgcewLbm/gtIxLbaZGFvSI87n2eKyJ+quC+dnPXlVnH5SjHG3IM9yf2BVOBREdkGPIE9sQHaYFsS0o0xbbFBwDQAEfnZGPMB9lh8gG15WY8NCl9019hEZK8x5iC2BTnOKwnPAikVte6URUTyjDFLnfSUN99bxph3RaTIuVBHYC9APpWT55cCa0XEvQ8fYIOvR0SkvF+2uRnYB/wZqFSrsjHmemC8s/1CbIVqCfZG4OfM1gHbUnPCTw+cSsxs7MWropa8R7CtronlzJML3Csiyc7ndcAZxpggJ6+eB27AlrUE4GER2VfGes7B3liuA+aX+u4e4FdgKzYALpdzcbwDOM9pAUs3xowA0sqY/TrgVgARSTTGzMfm21tOK9ar2IpgIbZs/+Bjs49jj+dzpabPBpY7688xxmzBPlGqVk5F7UPgahFxP706H2hsjPkLkAz8WUTKrAR5Ka/cVWV9FaX7V+x5NxhoBXyMbQ0ahs2HmyvahnPj+Q8wHHsercQ+1boMuAIYYYzJEZEPy1nNxzgBoYikGWPisfnmB6R6Vbo+Bt409qncdcBUEcl20vEZtqXTE7AZYxpjn3ItFpHSZaW0R7DBculrRwD26UEQ9j4WBOQ4rWe/wwZfiMj3xpgPjDFnlzo+Y4CXgcu9rmmVEYa9J+x31tMNG1hEYPM/EBtoTiu9oIgcNMb8GRtYvu1Mfgy4BZhTavbzgfZO5aQAeMV52jOYkzj2ldTc2Rec9TyPDXwzsA0uV4pIF+e7rtgnV2cB240x54nIWmfRquTRNcC37sYxY8zHwGuUEywbY/6NPU++Nsb4bDBzWtF/xl5Hz8Fej18AHsTGLauxjVIuY8xfsWUuBJvnfxKR74wxnwMBInKrk95IbMAq5RzPy519v8vZnjs94dgnlp2x5+ga4KEK7qc+OQ13n5fx1VvY+0ZDEZkAICLrjDHDnO/3Ye9J7sbJddg4yHvdwU5aHxORJGdaiSdF7s/Yltr3gCFAHrADuMtdLn2kfS7QDWhkjNmAbYDMMMY86Mzye2PMLUA48AvwjDM9H2gqIke8KhBNsY1br5axqT9jK97zvO7Bs4APjDGBIlLgK40VtSxfB4SLSD9juxp8iA1mAc7DHuBoY8zPwP9hL8yNgX3GmNe9ErPIGOP9yOpSEUlx/n7d2EdHTbEFcyFwsZR8zFp6+V3eNZ4T5RSSsdhCnm2MuRR7Q+/hFNQCY5v+b3Smi7O/+6Tko+O92MefVwBbvGrnMV7buh+bwau8prXA1myq9DjGGHMm9kQeX9G8IpLvXEwexZ4ESytYxFeet8c+8nPbi83rcMBnVwz3zdhp/aqs17EXrVVO3gwHlriPvRNMDAXeEpHUE1ivt43YfCuXu/XPSYeveRJwWgycIPUt4DsnUL4TGwAPFJECpzxMLGvbIrIGWGNsF4TS373orP/vFaXZ0RKbNyONMROxN/NP3S1apZSVt+2c1sRPgVEikuCUu9XGmE0iclzlQURucdL4XKnp3o9m+2MD8+GV2IdQ58LpbbmIPFKJZcFWSH/yeiITBmzDdotaYoy5GfjZGNNdRDJ9rcRXuavq+hxjjDFDS017VkTmOn93FJELjDGDsNeOq0XkKWPMf7AB1v0VrP8FbHexvthWxk+wLXmPGmOuxT7WLC9QRkQ8Lf/GmKuw18A7gEvwKi8ikmuMOYy9wbXHdrNx24ttKHCLwD5Z+EZE3qxgH3C3rDqtj94mYa/PSdhA5EenAWMokFQq4CiRBmPMHdib7XCp3NOTp53rVwA2sFmKrXyADXw/dlrregNrKf+JyUacc0tE0kTkUidNpefLdNY9Edso8quxT09LnKsneOx9Cfc6z5phuxuNdtJ1JfZ8PRcbLJd+qvUQ9lp30BgzHfgjtsEIqpZH7bHnVKX3QUT+Ymw3uDFScRefLsATInKfMWYC9lrdD9sQkACcZ4w5hK2Y/t6p3N8OvAh8h21gi3LK0HPY4LG8QNl9/ZvptGh6uxEIdu61gdincR0p7k51QpwKdJlP4ox9WrDbGPNfbBCbD/xNRLZgu1S65wvBNoR+U2oV9wMJIvJ9JZIyFDhfRHo763wdew9cXU7aRxn7lCRERF43xnwHPC8im53y0hbbHaoQW0G5i3KesDrX0bllfefEkg8aYzo497G7sBXgptjuVmWqKFheBrzi3CTmY5vwdxj7SHiXiEQ788UD6U6Ae8gYcxR70rmD5Qq7YRjb8vkTtgtEdKl5ylu+Kq7EnjQrvC5STY0xzUTkMICI3O7UamYCf8Me+NI1Pj+O70vt4bQ2PQFcJiX7T98PzBGRnSeQ5qnGmGPY2nA+MNE7CCmPczH5K/Zx3QfYioIvvvLcn+P3H8rZ/5MwDZhtjPnRScNr3l+KyHCnvMw3xsSKSGW7JXhz9y0+ZZzg6TPsBf8yZ/JVwEDsI2wobm2pbg0ovrlfhA2efzXG7Jbj+yOXzlt3uR6Cfbryrdd54gLOpvyW9jIZY0YBX2BvMJXpt1qlbhjOtkKw55mnQioiWdjuUu7P053z4jxgUUXr9FHuqrq+irphuFsD3X1Wf/H6PLyitGJbs55yt5QYY/5HGa2dlWHs+wavYfvMHvBxLXCXGV9lye1LbGvTe1VJi5d/YIOwK7Atf98Z2w8xupy0gS3TV2GfJFa2m5F3N4xG2EDiP07FtR9OcCwiW4wxFeW7y/mXU95MIvKA18cYY8wMbAC7m6ofe19Kd8O4FJhlbL/4K4Dp4jyZMca8h21JdndJGUdxcDwZe415xml9rEoeVXUfKitHRH5y/o4HgtwVW2NMMvZ9kDVOmb/d2Nbo83G6xYntpnALtrL0iYhUpiuOL0uAl4wxC7EB4BsiUqVA2Ul/eS3LftjuV2+IyB+N7TL3gzGml4i4n5K0BmYAhyjutub2R8qPG6D46dtGIMAYsxobN02X4qcN5elL8TWqBxDr9d0UKX5i8gW2wu7zvu/ca8psWRb7ZPkVYI4xpgBbqUvHXpd8Knc0DCfjumBrGo2BSK8afuluEuV2wK+IiBwExgCPGPsYvjoFYPuD9XMuEudga85pxphRTgsazkn0lfN9ItDGaTl0OxNb8y3BGBNsjPkK+3htiBz/0sEYKt/v1O02J71ni8iAyrTKGGMuMPYxIWJfkPjM2RefysnzROz+urUF0pwA5JQSkeextdN12IvxEgBjzI3GPrpyl5dvqWB/ynEePvogV4WxfX1XYC/sI6S4H5n7BU93WTsXuMAYc6YxZoPXvzN9rLqqDmLPySkiUiS2X/wP2GChtNJ56y7XAUCsO+1O+gdj+7pN9Er7g2WsswRjzJPYC/ktIlLWBf1UuxzY4F0hNcac5bReePOjgmuXr3JX1fVVUonrq1TwglMZAigZdPhjK1CVZozxN8a8jb1xXiQiC52vSpQXYx/RRmAbR3yVJbe/Y4Olf51IWspwPTBJRPKdc20KtuWp9PZLpyEVW8H5p3POnhDnnjAJ2/2uAJvf3veEigK784AdUs7L58aYQGPMeKfy7eYuVydz7CtFRObhtLJSvI9u3vv3B+zTqw+dVm93v333k5+q5NEp2YdyVBi3GOe9Key+zcVWFL2PgcEGlOcY++5RlYhIPPZe+xo2Dxca+75LVde32fta7fVvCrZ8HBKnC53Yd7ASsS2+GNtXfC32KdYN3tcbY8x5QJGILCtjs94NP6HOug87630Gew36xtgnqj4Z2w3jVmwldAs239d53Vu8y527wdB9fXPnTZDXsZjr41hEOtfyhSLSX0TOwzbS5klxV70ylRssG2MewgZ180TkWWzBqWpwUiHnxvYy8HapC8WpNhe4xRjjHm3gQWCB8/fNwAvGGD/nQnQz9sDuxfa9GQOemksRZQdcX2ADzfPFPqL3MPbRdhdsYFXdLsIWvkCnNeg2bDcXn8rJ83nAYGP7qIE9ZqX72Z00J60J2P5VH2Ife53t5MVDOC8XGNtH75qK9sfHNq7APl34+BSlORzbD26WiPyh1I1wLnCvsf00wba2fC4i+0qdxGX1Ya4y5ynP9zitAU6L2CXYC2Jpc3Ae6ztPjS7DBtargK7GmN873/XD9rtvKyL3eqW93Mf5xphHsDfQweL05a8Bwyg+p92ysEHSQCddV2Av9msqWJevclfV9dWEX4CHvM79RyjuB19A5QLnN7F9/84VkU1e01diGw4GOZ/vxXaTysCWpduNMQ2d1v2x2MqF2xrsOxC3GWMuquK+AURhr83ul6WvBlY519s9xpgbne+uxPYv3+ost11EFmCfsH1WqvGjQs6xvAxYIyJpzv64z7HO2Fb/MvucGvvey7+BMkfUcXOeBlyHPa4Y2y3rWuzThpM59pXdx+7Yrg8bsN06bvK6ft3jtX8PAf8QkbNEpKOIdMR297vfaXWuSh59B1xrjGnhHOv7KrkPlS3TlTHcSed/sF1ursV5j8nJ47ew99Zd2JfXq8SpaH8MzBWRZ7DXq/4nlXLfljrbvNz5vye2y8dmY/uQLwDGi8jTcvwoRWVdS92ucNZ3AbYbA8Z285qL7TL3ArY70XkVpO9mIF5E+mAr1B+VurfcYowJcsrVncDPYt/FScM2QIHz3k0ldMBWTMKdz+Mpruj5VFE3jCnYgrPVGJONrYm8w8m9WVyRN7An+XhsP2g4vs8ywHNej1NOiIjMM3Y0h/nGmCJsn9vrxXbsfwrbT9cdBM+m+GWMW4AJxvaxzgFuEvvynGfdzuONG4Ht2FE93F+5+yN2AZKr0FJUFa9iR1DYiA3sl1F8TH0pM8/FvuBzF3YEkCDsI6w7T3WCxfbr/SPwpTEm30n33WL75o0DPjLGuG/cE0RkdiVWe6Ep7pPnwtayR7kfP1WF0/ow0WltfRT7gst1xg6j5HYxts9hW2CVscMgJmJby2vCfdiK51bsxf5LKR7ObSLF/VZfwL7gEOPM97TT6oEx5gbsewUh2Mr1HaUrgOVxysq/sefYLK/z4RsRebmCxcvqswwwTiruxtGVUiM+iMghY/sVf+Sk6yh2OMNyH79h86vMclfF9UHZfZYTReTqSixbGS9ig92N2Ov8KoqHrfwZeM0Yg5QxlCDYVnjsC5u7gQVe+faWiExxysX/jH3T/yDOtUBEZpvivrtB2ACvxI1IRFKMMY9ig9WzpRJv85fhceA9Y8w2bKAU6ewv2AaNCcZ2kziGfSHSZUr2C/6Hk8YnvZbzxd1n2YWtDK2jeBSg24FJxo4gsBfbIuvdvWupc+8qdJafICKVqaT/AVuu7sWed49K8dBqVT72PoSXOs/8sS8sxwPxxr4ouMq5H2wFso0xA7DDtV5Wal2fYodSvJMq5BG2P/C/sCMnNcC28JZbuXDMAqYZY+7zegJSVVOxAftW7LH4EWjpVJS/Av4lIrFOw9JmY0ykFL9rcCI+wz6hiDG2i2UCTvckY1ta365qjFOa2L7XlwLvGNuH2AWMFZH9xphJ2FbhJ419AgiQLcWjCnXFdz/qgc5xOuQ1zw/YcrHFGJOJHVTAXfH7FBtETyy1nvOx8QnY7iKl83A3tiw0wnYVmepMfwz42Nh++/Mop8+x17GIMca8iX0/yB9b1iocstPP5arSi5dKKaVUvWZsH/VpYofTbIp9Wepid2B7unOemgwUkf85n58B+orIbeUvqU6GE4jH1eCTuBNmqjBuutOy3baMYLnOq6lxlmucsUOrhfv4+kIpHial1hljnqb4JYnSXheRqWV94TxG8DW6hc8fRzDGfI3td1WWMSLlv91bal0nnHZjhzDz9aMJi+QEhh2s6jHwWv6UHYuaZoy5DftDKGWZ6qvVsK6o6jl6KsvP6bC+6mKO/5Ekb+X+sMkpTMMM7NO2stzgfsJRjdsfie+Wy/ki4uv8covDjnRQiL2fvlTXAuWTPMYCPGucH7LBtvBVNBLLKWeMeYfiHyAr7TERWXoi853itFXHeZSL7dr3WxNBFV80rm3asqyUUkoppZQPv9mW5drkvHzxqtihprpg+ya5f7b7Eaef8wvYl8wKgD+KHWNXKaWUUkrVIeWOhqFOnNOnayL2B1bAvjk73ukO4AdcY4w5B/uG6SDsixwnO+aoUkoppZSqBhosn3rx2PEl3QZg37YE+xb6SOwYwvNExCX2F2QCjf2xA6WUUkopVYdoN4xTTERmmpI/V+wnxT/rmYH9eezG2MHxKTXd57An69evd/n7a92mLikqKkLzpO6oq/mRl5dHUFBQxTP+BtXVPKmvND+qX1nne17e8aNJuucpKio6NGDAAG0sq+M0WK5+3gN8hwNHsOOxhpcx3Sd/f3/696+u8cpVVcTGxtKjR4/aToZy1NX8iIyMZOTIkbWdjFpRV/OkvtL8qH5lne+RkcePAOeeZ/369btrJGHqpGgVs/pFG2OGO39fjh3mbDkwytifk+0A+IvIodpKoFJKKaWUKpu2LFe/p7C/VBQExAIzRKTQGWN2JbbC8khtJlAppZRSSpVNg+Vq4Pwc8GDn7+3YkS9Kz/N37G+gK6WUUkqpOkq7YSillFJKKeWDBstKKaWUUkr5oMGyUkoppZRSPmiwrJRSSimllA8aLCullFJKKeWDBstKKaWUUkr5oMGyUkoppZRSPmiwrJRSSimllA8aLCullFJKKeWDBstKKaWUUkr5oMGyUkoppZRSPmiwrJRSSimllA8aLCullFJKKeWDBstKKaWUUkr5oMGyUkoppZRSPmiwrJRSSimllA8aLCullFJKKeWDBstKKaWUUkr5oMGyUkoppZRSPmiwrJRSSimllA8aLCullFJKKeWDBstKKaWUUkr5EFjbCagPjDHjgHHOxxCgH3Ar8Dqwx5n+gogsrvHEKaWUUkopnzRYrgEi8hnwGYAx5j3gE+Ac4BkRmVl7KVNKKaWUUuXRbhg1yBhzLtBLRD4GBgB3G2OWGmPeNMZoxUUppZRSqo7RYLlmPQe86Pw9H3gM+D3QCHiwthKllFJKKaXKpq2ZNcQYEwF0F5FFzqRPROSI890c4Ibyli8qKiI2NraaU6lORE5OjuZJHVKX86Oupqu61eU8qY80P2pGZY6x5sPpRYPlmvN7IBLAGOMHbDLGnC8ie4GLgfXlLezv70+PHj2qP5Wq0mJjYzVP6pC6mh9JSUl1Ml01oa7mSX2l+VH9yjrfk5KSjpvPPc/69eXe+lUdod0wao4BdgKIiAu4F5hljFkMNAQm1GLalFJKKaVUGbRluYaIyOulPs8D5tVScpRSSimlVCVoy7JSSimllFI+aLCslFJKKaWUDxosK6WUUkop5YMGy0oppZRSSvmgwbJSSimllFI+aLCslFJKKaWUDxosK6WUUkop5YMGy0oppZRSSvmgwbJSSimllFI+aLCslFJKKaWUDxosK6WUUkop5YMGy0oppZRSpxljTJAxpldtp6M+0GBZKaWUUqoOMcaEOP8H+/g+CGgO9DfG3FaTaauPNFhWSimllKojjDENgMuMMdcBY40xXUt93wR4CLhORL4AGhtj7qmFpNYbGiwrpZRSStUBTiB8PRALLAEWAZcbY0KNMX5OS/MlznchxpgnReQDIMgY073WEv4bp8GyUkoppVTdcAvwHDACuBsoBJJE5BgQDFwJdAcucL7rbozpBPwCJNZKiuuBwNpOgFJKKaVUfWaMCQeuBTYBy4CVQH/gGJBnjBmNDZJbA+uBNsBOYJ2I7KyVRNcj2rKslFJKKVXNdu/ezZ49e46bbozxA8YD9wN3AkHY1uVOQDqwEAgBegGhwDQgANvivNxrHaqaaLCslFJKKVWNtm3bxtatW4mPjyc2Nrb01/2BfCAVGAxkAJ8DKcCfgQeAb4EZQBPgNWCHiKx1r0BEXNW+E/WYBstKKaWUUtUkMTGRpKQkAgIC2Lt3L3l5eZ7vvvzyyzOA4djuFhnALqAzMNf5/wagI/AotoV5HrBXRGbX5D7Ud9pnWSmllFKqGvz0008cPnyYlJQUkpOTadmyJS6Xi5SUFD744APWrVvXDNu94hsgHEgGIoDfY/su9wMOAKOBFsDLgB/YrhfaolwzNFhWSimllDrFVq1axbJly8jJyaFNmza0bNmS3NxcCgoKmDRpEosWLaJdu3bZ+/fvH4rtmzwL2xVjmzsINsYMw46A8T2wR0Sy3evXQLnmaDcMpZRSSqlTaNOmTURGRjJ06FAOHDjA/v37yczMpKCgAICOHTsSHBzM7t27w4AfgZnAaiBORFzGmABnVbOBD0TkXyLyhb7IVzu0ZbmGGGOisTVHsH2SPgLeBgqAeSLyYm2lTSmllFInJyMjgz179uByuTj77LP59ttv+eSTTxg8eDA9e/Zk+vTpZGRkcOjQIfbt28eAAQPYvn37sWXLlj3pDB33HHDEGDMVyML2Y07Bjoqh3S5qkQbLNcD9G+8iMtxr2gZsx/2dwI/GmHNEJKp2UqiUUkqpqsrNzWXy5MkkJibyzTff0KtXLxo3bsyDDz7I999/z/79++nYsSPR0dFce+21LF26lLy8PPLz8/2NMc8DvwJdsP2WBwEpxpivRGQ1EAPa7aI2aTeMmtEXaGiMmWeMWWiM+T0QLCLxTuGfC1xcu0lUSiml1InKzc1l165dNGrUiI4dO7Jy5UpSUlLo0KEDu3btIj8/nz179nD48GHat2/PtGnTGDp0KP379+fee+9NBN4HzgQGAjnAbmAzcKYxpkEt7ppyaMtyzcgG3gAmAl2Bn4EjXt9n4Dxm8aWoqKissRlVLcrJydE8qUPqcn7U1XRVt7qcJ/WR5sepl5+fz6xZs+jUqRORkZEEBgbi7+/Pvn376NGjB5MnT2b37t307t2b3bt3c/PNN9OsWTOysrLYtGkTbdu2LQL+gG1ZngT0BLZi+y9n4Yx8oWqXBss1Yzt2AHEXsN0Ykw408/o+nJLB83H8/f3p0aNHNSZRnajY2FjNkzqkruajGx4QAAAgAElEQVRHUlJSnUxXTaireVJfaX5Uj5iYGFwuFx06dMDf35+IiAhatWrFtm3bePzxx/nqq6+IiIjgyJEjLFy4kHPPPZcbbriBM888k8jIyJbYIeH6AP8FHgbOFJHtAMaY9saYoyKSXk4SVDXTYLlm3I09ER42xpwJNASyjDGdsX2WRwH6gp9SSil1migoKKCgoICoqCgOHjzIueeeS9OmTenYsSOzZ8+mSZMmREdHc+jQIaKiomjQoAEDBgwgICCASZMmkZCQQKdOnXKAH4DHsb/ON11E9jmjXpyH7Z6x1RjTCfsrfztEJKfWdrqe0j7LNWMSEGGMWQZ8jQ2e7wWmAmuAaKcTv1JKKaXqsPT0dHJzcwkMDGTZsmVkZmZy6aWXkpaWhsvl4osvviAxMZHQ0FD69etHcnIybdu25fzzz6dTp04kJSWxZ88eunfvzqpVq5oBtwHnAj2cQLk9cAlwDbYrRgfgQuyLf9otoxZoy3INEJE84NYyvhpc02lRSimlVNV9/vnnpKen89RTT3Huuecya9YsWrRoQXh4OAcOHODpp59m7dq1REVFcdVVVzFw4EDat29PSkoKmzZtIjMzk4iICIqKiggICCjCdsP4HIg2xozABsd7sIFyM2yL825gqYgcq639rs+0ZVkppZRSqpIuu+wyAD766COCgoJ44okniIqKIiEhgcWLF7Ns2TLatWtHgwYN2LBhA1dccQXNmzfnyJEjrFu3jsaNGzNkyBA2btzIWWedlY3thpEOXA48AQwFfgdkAo2wQ8ctFJHDtbLDSoNlpZRSSqnK2LRpE3PmzGHo0KFs2rSJH374gWbNmpGdnc2aNWuIj49n27Zt/Pjjjzz44IOMGTOGvLw80tLSKCoqokWLFhw9epTU1FSaNGlCkyZNCoAG2BbkidhRMXYB5zjTZwMrRSSjtvZZabCslFJKKVWhlStXMmvWLBISEujatSuvvPIKubm5pKamkp6ezuHDh2nSpAkul4sdO3awfPly0tPTmT59Ojt27CArKwuAuLg4Jk+ezAUXXMCVV16ZCjTHDh83BkgDXgOigb1ApogU1dIuK4f2WVZKKaWUKsfOnTvJzs6mUaNG9OvXj6+++ormzZvTuXNn4uLiCAgIICcnh+zsbPLz87n++usJDg7mzTffJDAwkPbt25OXl0dGRgbnnHMO4eHh9OzZk6ioqDDsCFm7sD9Qdjf2xf8pQIDzzpOqZdqyrJRSSinlw9q1a5kzZw4JCQlkZGTQokULbr31Vnr27EliYiJff/01ACNGjKB58+YEBAQQHBxMWloaTZs2JS8vj0WLFiEi5ObmMnz4cHJycvjss884cOBAEHZ85e3AK0AAcBaQry/z1R0aLCullFJKlWHTpk3s2LGD9PR0du3aRevWrenQoQONGjVixYoVzJ07l9DQUMLCwrjgggsYO3Ys6enpxMfHM2jQIHJzc2nUqBGpqakYYxg4cCD5+fkAJCcns3bt2qbAn4BpwJeAACucHzFTdYR2w1BKKaWU8uJyuUhKSmLOnDnk5+cjIlx88cWMGzcOgI8//pgtW7aQl5dHv3796NKlC82bNyczM5NBgwZx7NgxFi5cyL59+8jMzKR///4MGjSIRYsW4XK5GDJkCMHBwfTv33/vM888MxfoCiwEDorI0VrcdVUGDZaVUkoppbz4+fnRrl07+vTpw+LFi2nbti1+fn7MmzePzZs3s3HjRgAaNWpEUlISY8aMYfPmzcyaNYvDhw8TEBDA+PHjERG6dOlCx44dycjI4OjRo4SEhBAaGsqwYcOYMGHCmcADwHvAXv11vrpJu2EopZRSqt47evQokZGRLF++nC1btrB37142b95Mp06daN68OVu3buWbb74hOjqakJAQkpKSaNy4MYcOHeLo0aNs3bqVrKws/vSnP7F//34efPBBgoKC6NChAy1btiQlJYXQ0FDmzZvn6bbRtWvXTGCqiGzRQLnu0pZlpZRSStVrhYWFpKWlsXfvXn73u9/RrFkzMjMzuf7661m5ciW7d++mc+fODB06lCVLlnDo0CGaN29O165dadSoEfHx8axYsYK0tDQ2bdpE9+7dycnJIT8/n4iICPLz8zly5AhnnXUWISEhLF++nMDAQNq2bZsDbKzt/Vfl05ZlpZRSStVbubm5PPvss2RnZ9OmTRtiYmKIjIwkOTmZli1bkpGRQbt27dizZw8XXXQRTz31FI0bN2b06NEMHz6cyy+/nIEDB9KqVSsiIiJYtGgRffv25YsvvuCmm25i9uzZxMfHExgYSFFREZmZmeTm5tKvXz8GDBiQqT84UvdpsKyUUkqpeik3NxeXy0Xv3r15//332bFjB3369CEzMxMR4fnnn2fFihX06tULl8vFnDlzSE5Opm3btgwbNoz58+ezcOFCpk6dStu2bWnatClpaWkkJyeTnJxMt27daNy4MUFBQezfv5/w8HDCwsLw9/fH5XLhcumgF6cD7YahlFJKqXqnoKCADz/8kBEjRhAWFkafPn2Ijo6mb9++BAQEEB8fT0FBAVlZWUyZMoXw8HCKiooYNGgQvXr1Yvz48cTHx9OsWTN69uzJ0KFD6d27N6tWrSIvL48VK1bQtWtX2rZty9q1azlw4AAdOnTgsssuY9iwYTRo0AA/P7/aPgyqErRlWSmllFL1TmBgIBdddBFTpkwhIyODsLAwunXrRnp6OnFxcSxevJiePXsSERFBamoq+fn55ObmEhcXx4QJE0hLS2PkyJG0adOG7Oxsli1bxubNm7nppps8v9z3zjvvUFRURI8ePejatSvnn3++Z9vq9KHBslJKKaXqnYKCApYsWcLo0aPJzc2lf//+tG/fnujoaM455xyGDRvGNddcQ5s2bbjkkkvIysoiLCyM2bNns2LFCoKCgrjwwgtp27YtBw4cIDMzk4iICFq1asW0adOYMWMGOTk5hIWF0b17d6666ioaN26My+XSFuXTjAbLSimllKp3AgMDufjii9m6dSuDBw/mww8/JDU1lRtvvJHDhw8zevRoli9fTkhICJdeeikff/wxt912G7169SI8PJw2bdowdepUsrOzufbaa7nhhhvw8/Pju+++IzAwkJCQEO644w46dOhAVFQUAQEBABoon4b0OYBSSiml6qXu3bsTGBjI4sWLeeqppzz9i1NTU/n4449p2LAh4eHhiAhRUVG0aNGCJUuWsG/fPrZs2UJQUBBXXnkl7du3Jy4ujo0bN9KnTx9Gjx5NcHAwy5cvJzs7myFDhhAaGlrbu6uqSINlpZRSStVbXbp0oaCggOnTpzNixAiWLVtGcHCwZ2SL2267jd69e7N27Vp++ukn0tLS6NWrFwcPHmTMmDEEBwezZMkSOnXqRH5+Ptdeey2pqamkpqZy6aWXkpKSQkRERG3vpjoJGiwrpZRSql7r3r07BQUFFBYWEhISQq9evUhNTWXw4MG0b98eESE3N5cOHTrQu3dvrrrqKnbs2EFkZCQtWrTgpptuonXr1mzfvp1JkybRvHlzbr75Zlq3bk1kZGRt7546SRosK6WUUqrecb9o53K5iIyMZMGCBTRq1IjExETatWtHt27daN++PfPnz+fzzz+noKCAIUOGMHDgQM444wzOOOMMgoOD6dChA61atQKgR48eNGnShA4dOtC6deta3kN1qugLfkoppZSqd9wv2sXExNCqVSsKCwtJSUkhPDyczZs3A7BlyxYyMzNp2bIl2dnZxMXFlfgxkfPOO4/WrVt7gm7vaeq3Q1uWlVJKKVUvLV26lClTpnDBBRcQHx/P8OHD6d27N5mZmRw9epT//ve/BAYGcskll9CyZUt69uxJ3759y1yXjnLx26XBcg0wxjQAPgE6AsHAP4G9wPdAnDPbByLyda0kUCmllKpHVq9eTePGjUlNTaVTp05kZGQwfPhwWrZsSX5+Pjk5OeTk5DBo0CD27NlDUVERd999N61atfK0IGtwXH9oN4yacTuQKiIXApcD/wPOAd4SkeHOPw2UlVJKqRqQk5PjGQ9527ZtADRt2pTs7GxCQkJYsmQJK1asoEmTJhQWFhIQEODpl+zn56eBcj2jLcs14xtghtfnAmAAYIwx12Bbl/8oIhm1kTillFKqvli3bh3p6em4XC5mzJhB9+7dSU1NZdCgQfj5+bF8+XLCw8PZvn07Bw4cYNy4cQwcOFBblOsxDZZrgIhkAhhjwrFB83hsd4yJIrLeGPM88ALw59pLpVJKKfXblp6ezurVq8nMzGTHjh00adKEM844g7Zt29KtWzcmTZrEhg0bCAwMpH379lx00UUaKCsNlmuKMaY9MBt4X0S+NMZEiMgR5+vZwLvlLV9UVERsbGx1J1OdgJycHM2TOqQu50ddTVd1q8t5Uh9pfliDBw9m3rx5DB06lOTkZEJDQ2nXrh3JyckMGzaMzMxMDh06RL9+/Wjfvj1bt24FKh8oV+YYaz6cXjRYrgHGmNbAPOBREVngTJ5rjHlMRNYAFwPry1uHv78/PXr0qOaUqhMRGxureVKH1NX8SEpKqpPpqgl1NU/qK82PYp07dyYiIoIjR47QpEkTz9Bvfn5+dOnSBYCIiIgTblEu63xPSko6bj73POvXl3vrV3WEBss14zmgKfBXY8xfnWlPAv81xuQB+4H7aytxSimlVH3i/vnp0oGy93fa9UK5abBcA0TkCeCJMr46v6bTopRSSinLHQiXFRBrkKzcdOg4pZRSSqlqND1tOpuPba7tZKgq0mBZKaWUUqoarcxeyez02bWdDFVFGiwrpZRSSlWzIldRbSdBVZEGy0oppZRS1ayQwtpOgqoiDZaVUkoppaqZtiyfvjRYVkoppZSqJoUu26JcSCHvHnyX5ZnLazlF6kRpsKyUUkopVU3yXHkAFFHEzrydzM+YX8spUidKg2WllFJKqWqSU5QDFLcwq9OPBstKKaWUUtUkx5VT4nMR2nf5dKPBslJKKaVUNcl15QLgwlXLKVFVpcGyUkoppVQ1yS0qGSxr0Hz60WBZKaWUUqqauF/wU6cvDZaVUkoppapJviufBn4NPJ91vOXTjwbLSimllFLVJN+VT5h/mOezuw+zOn0E1nYCVOVl5WeRlZ/l+eyHHy0btqSgqIDDOYdLzNskuAnBAcEczjlMQVGBZ3pwQDBNgpuQnZ9NZn5miWVahrbEhYtDxw6VmB4eFE5oYChHco6QV1T8OKmBfwOahjQlpyCHo3lHSyzTPKQ5Af4BpGSnlJjeqEEjGjZoSHpuOrmFxReMAL8Amoc2J68wjyO5R0os0zSkKQ38G3Do2KESNfLQwFDCg8LJyMvgWMExz3R/P39ahLYgvyiftJy0EuuKCI4gKCCI1GOpJYbxKe+4tGrYisKiQlJzUktMdx+LtJw08ovyPdOD/IOICIngWMExMvIySizTIrQFfvhx8NjBSh2XQP9AmoU0I7cwl/Tc9BLLNAtpRqB/IAezD5boAxfWIIywBmEczTtKTkHxW9ie41KYT1puyePSNLgpDQKOP8YhgSE0Dmp8WpS9w3mHSclOqXNlL70wnZTslFNa9hoHNSYkMKTOlz13nvzWy55bXSt7bu6yl56fXiJtv+Wyd9xxqYGyF+QfRFpB2nHHON+VT4hfiGdaIYXsy9hHm0ZtUKcHDZZPI5NjJvPBxg88nxs1aMTKW1eyL3MfV86+ssS87170LsPbD+exBY+x6dAmz/RRHUfxxrA3+HbHt/xrzb9KLBN1RxQ5BTlc/M3FJab/4/x/cF3X6xi/fDyL9y72TB90xiAmjprIr3t+5eklT5dYZsFNC2jVsBWjZoyiwFV80/rTgD9xd++7eX3t68yJn+OZ3rVpV2ZdPYuolCjum3dfiXXNGD0D08xw8/c3l7jY3tXrLp4890kmbJrApzGfeqa3DG3JwpsXsvPITm78/sYS65pw6QQGtxnMffPvIy4tzjP9ms7X8M+h/2SaTOM/6//jmR7oF0j0ndGk5qQed1z+2PmP9KUvTy9+mtX7V3umD2s3jP9d/D9+2fULf1vxtxLLrLhlBSGBIcet6/8G/h+39riVl1a9xNyEuZ7pZ7c4m6lXTmXlvpU8tvCxEsv8eN2PdGjcgau/vbrEje6hvg/xcL+HeTfqXabJNM/09uHt+en6n9h6eCu3/3R7iXV9ccUX9G3Zlzt/vpM9GXs80/9g/sDzg58/fcrehjpa9r45tWXv9d+/zmW/u+z0KHsb6knZo46WPYrL3kvbXiIxOtEz/Tdf9qjZsnck9wj/OPAP+KZ4+qiOowhyBZUoDwCjZo0i6o4o1OnBz+XStzJPB9HR0a5uvbtpC0sdallO3pVM3159tYWljpS9uLg4unbtWufK3tKlS7nwwgvrZcuyO09+62XPra6VPTd32Vu1aRWdunSq1HE53cveccelBsrea2teY/r26cy9YS6B/oGeY/zPH//Jrtxd7MzbSeOAxqQWpjL1iqn0adGHqKio9QMGDDgXVadpsHyaiI6OdvXv37+2k6G8xMbG0qNHj9pOhnLU1fyIjIxk5MiRtZ2MWlFX86S+0vyoXi+veplpMo35N87njLAzPNOfmPkEhwoOEZ8XT9sGbdmeu52ZV8+kW9NurF+/XoPl04C+4AcYY640xvxojFno/lfbaVLl2562ncSjiRXPWMctT1peohWkLsgtzGVZ0rLaTsZvxracbWTnZ9d2MlQ1Ss9NZ93+dZ7PR/OOsjp5dTlLVK+tqVvZn7W/1rbvLfFoYoluR79l7pbu0k8W3KNhBPkFEe4fjj/+ek04zWiwbL0EvAY85PVP1RHpuenHXVhu+O6G4/qMlXYg60ClplXFqVrPg5EP8lnMZ1Ve/tCxQxQWFVY84wmYEjOFhyIf4rf81OlU5V9p+YX5JR7P5hfl81HqR0zZOqVatncqHMk5UisVtqz8LDLzMiue8SQcyDpQI+X4pVUvcdfcuzyf/7b8b9w7795q3abL5fJZjsf8MIY7fr7jpNZ/qs6RK2dfyfXfXX9K1lXXuc9972A5LSeNY0XHCPILooFfAxr6NyTEL6RE9w5V92mwbB0WkcXipbYTpIpd/e3VXDfnuhNaZueRnYycMZJ9mfs805Izkxk1c9RJ3QRcLhd5hXmMnDGS6CPRVV4PQF6h7Qd5MhfNEdNH8N6G904qHaVl5Nv+htkFv82Wj5yCHEbOGMmq5FWnfN0vrHiBYV8P83yOPxIPQFBAkM9lartScuHXF/LEoidqfLujZ4/m0pmXVtv68wvzGTljJL/u+bXatuF2JKdkf+OtqVuB6s3bubvnMnLGSJ+V5UPZh8qcXhmxqbGMnDHyuH7ctaW2z5HKSj1m+3e78x/g91//nnXH1tHArwEN/BoQ6h9KsH+wBsunmXodLBtj7jfG3A/kGWM+NsY84DWtzpmwaQKXzbyMPpP7sGLfipNaV98pfZkdN7vC+S6dcSmfbvn0uOlL9i6hz+Q+ns/LkpaV+HwqjP15LC+ufJHDOYfZl7XPE1yW5e2ot/lw44eez/uybJDsvngBbDq0iUJX4XGPyLw9t/Q57p57N5NjJvOv1SXfms8tzOXcL87lnrn3AJCck1yp/Xh/w/uMnj36uOmlXw5ym5cwj8cXPl6pdQNsOLjhuGlzE+bSZ3IfXC4X53x+Dt/Hfw/AwKkD+WLrF5Vab+kXWNx2HtnJ6NmjK92iHX8knj6T+5R4gcfbPXPv4a/L/1qpdVUkOz+bPpP7sCt9l8953C8/VUfr8pr9a0p8Xn9gPQC5BWXv+6LERZw95Wyf5/Mvu3454fNqRdIK+kzuw8XTLy5xTpTHnc7qcO/ce3lx5YvHTT947OBxL4KV56WVL3lGM8grzKPP5D6eykhZ3NeA0i+VuVwu+kzuw91z7+bSGTZYn7h5In0m9/F8rip3GXd3gfB+Ae9U259pt3Egu7gcj182npnbZ57Qeu746Q7+trzk6BXuINn7+lkT8grzuHLWlbyx9g1PmflgwweM+2VctW63z+Q+/JLwi8/vv4v/jrMnn13helJzUukS1IXv4r87LsAP8gsizD+Mxv6NCfbTYPl0U6+DZaCN8281kASc4TWtzpkaO5WkzCQAVu5bybr967jz5ztJSE/gxZUv8s32bxj781hmx81m7M9j2ZG2g+iUaE/Q9+81/yY2NRaXy0WRq4i/rfgb2w5vY2vqVl5b+xqvrH6FmEMxnu25XC6Ss5J5a/1bnmkJ6QmM+WEMjyx4BLCtoruP7uahSNtzRQ4Lf1785zJ/oej9De+zPGl5mfv22ZbPeGzBY57lJsdMJiolihnbZ3jmeX3t68xLmFfm8jGHYkqs292inHLMBsYzts/wBGSl34gGG1x+te0rvt/5PWv3r2XjwY3H9duVw0JeUZ4nOM0uLNnyuixpGdd8e81xlYspW6eQcDSBIlcRa/ev5f0N7wN4gu6V+1by6ppXPfOv2LeCqBQ7pJDL5eJvy/9G/JF4nl/2PLGpsZ753Dfish5lu9P++KLHyS/KJzol2rPMq2tfZU3yGt5c9ybRKdEkpCfw8qqX2XN0D88tfc4TBN899+7j1gsQkxpDwtEEliUt4y9L/1Jhq8+OIzsAPGUXbEvcIwse4cvYL1mzfw3f7vj2uOWmxk5lVtysEtO+j//eEwzMjpt9XODvDhyu/vZqTyBWUFTg2RYU53+Rq4jFexZ71jF/93zumXsPY38e66lQLd6zmD/88Adu++k2bvvxNiZsmuBZ9i9L/1Jin9btX+fZvnskhjk77DBhi/cu5p2od0oex0MxPL7IVoq8W6LcNh7c6BmazHvUgYq4hzlLOZbCexveY0VSxRXr3MJcHo582JOXh44dYuzPYxnzwxjmJczjo40fsShxUYXrycjLYNwv43hg/gNMjpnMT/t/YvX+1WXmb1lyCnK4f979TI2dyuSYySW+m759OhsPbgSKy9J7G95jauxUzzwul4uHIx9mzA9jPBWAeQnzShx79+gOa/evtde3dW95ykZyVvJxT2pWJ68ucX6+vOplZsXN4s11bxbP5Gf/W5a0jNt/ut3Td7WsCud/1v/H07/55VUvM12mc9P3NzH257FEHTh+KLHEo4n8cdEfeX/D+6xJLq6MuUdUScxI9Oz7kr1L2HZ4m2eeCZsmELk78rh1uk3cPJENBzcwe0fJhhP3yBwfbvyw3EaV2XGzj8vb3MJcHpj/wHGjWDw4/8HjRukoLCrkyV+fZNLmSUyNnWrfRclIZPr26WxI2UBBUQHvb3yfqJQo9mbs5ZEFj5TZF/vJX59k3C/jynyPxeVy8fyy50lITyhzH/IL7bn19OKnS9z/vM3cPhMXLgqKCpDDwp0/38mmg5tKzPPK6lfYfXQ3AxoO4ED2AVKyU0qUmwZ+DRjXbByDwgYR4h/is7FE1U31epxlEXkRwBjjB1wLdANiROSH6t62McYfeB/oC+QC94rIjvKW8R4mp6CogOX7lhOdEs1Pu34qEVRKmpCVn8WSpCXMT5jPltQtdG3alWnbppF6LJUXhrzgmXfcL+Po1rSbJ5g6knuEC9teSFxaXIlHx7PjZpORl8HWw1tL3NjfiXqnxKO6qbFTmZswlxahLRjSZggxqTHkFeYxvP1wPtj4AWc1PotnznuGnUd2knIshbaN2jKkzRCmyTSSMpNIOJpAy9CWZXYtmCbT+Fq+ZlLIJM+02NRYMvIyWJm8kpCAENYkryEoIMgzZubCxIXszdjLG+ve8Czzv+j/0TioMfN2z6Ndo3bszdzLD/E/lBgHc/7u+YDtL30g+wBpOWl8uuVTwhqEeVoE9ufsRw4LB48dpHXD1p4Kw1vr3yI0MJRezXsRlRLlmf+NdW+QnZ/Ntzu+5aIOF7EzfacnvyRNeHbgs8yKm8XyfctJz01HDgvfbP+G2TtmE7k7koz8DL6L/45FNy+iRWgLPt/6OWADlO/jv2fgGQNpHdaaH3f+yMFs25rmfgSdeDSxRIvTffPvo8hVhBwWwhqEEZkYya6ju1idvJo2YbauuD9rP78k/MKBrAPkF+UT5B/Enb3uZG/GXgAeXfgoAL2b98bPz49bu9+Kn58fq5JX0ahBIzYd3ETHJh09AcD4ZeMZ1XEULpeL1JxUluxdwpK9SzxpWpO8hpDAEM5ueTYbUjbw7zX/BmxLsAsXY3uNZVbcLHam7+Ssxmd5xnLNyMugaUhTehb1JCO7uKUyJjWGQWcM4h8r/+HZVttGbZm+fTpgW+TdwXjvFr158tcnPcv+dflfebjfw559BOjcpDPvb3if67pex5SYKfy480e6RHTh3j62b+q70e965t1yaAuRuyOJPRxL56DOxKTGEJMaQ9emXbn8d5dzIOsAt/9cPObrJ5s/IdAvkMt/dzmtw1ozZ8ccxi8f7/n+uaXP0bN5Ty7reBnBgcFMiZlCRHAELRu2JDQwlO7NurPp4Cay8rNKtDQCjF8+ntnXzGbSlkm0DWvL5Z0uZ+LmiTQPac6N3YrH412atJTtaduJTonmjLAzPBW2pxY/BUCr0FaM6DACsBW6iOAIsvKziDoQxX1n34e/nz/rD6z3BKnereXNQ5rzxdYvuKX7LcSkxpR4+W1KzBQKXAW4XC5iUmNYmbySlckrARs8D2g9gPCgcM/8i/csxs/PRqfzd89n/u75NAxsyKiOo8jKz2Jp0lIAT8Vm9f7VrN6/msfPsRUTd/l1+zTmU1qEtvB8/nDjh3QI78DozqOZFTeLF1bY6+WzA58lKz+Lr+Vr/Pz8KHIVcUPXG+jYpKOnkjErbpYnoAd7PQzwC+Cy313G3oy9jDxrJJ9s+YRPtnzC3BvmlhgPGGBm3EyWJi2lVcNW3NL9Fo7kHOGuX+4i5VgKi/YsYudZO1mxbwXXd73ec919N/pdEo8mckHbC0jLTfMEkwWuAt6JtpWEzWM3U5a3o972/D1x80SGtBlCrxa9PK3xkYmRRCZGcjjnMGN7jfUMhwY2yK3jzcQAACAASURBVHw76m3OanwWV3W6imnbpjGm+xh2H93Nin0rWLN/DZecdYln/uX7lrM0aSmdIzqTnpvO4DaDeWv9W548BBg/yJb5YwXH2JOxh7+v+DthDcJoGNiQ7+O/Z8neJYz7ZRxXdrqSu3rdxYLEBQxuM9iz/JStUxjXaxzxR+JJykzi4LGD9GnRh+/iv6OgqICLOlxEz+Y92Zq6lV7Ne7Hl0BZ6NC8eHeQPP/7Bc32dmzCXAa0HUFBU4DkXPt3yKfuy9hGdEs3MuJks2rOIEe1HEJcWx1fbvgKgQ1AHGgc15oONHzAzrvia6+6CAdAlqAsLEhcwttfYMvNF1T06dBxgjJkINAJWAhcAe0XkyfKXOultXg9cLSLjjDGDgf8TkWt8zb9k7RLXI1sf8Xy+sO2FpOWksSV1C81CmnE45zDXd72euLQ4Nh+yF8YBrQdwIOsAezOLbw6B/oHcf/b9ntbN0lo3bM3RvKMlHh8G+gWWCCSDA4JLPFIPDQzl/DPPZ0HiAp/726hBIzLzM0ss2zykOak5qTQMbEiAXwAZ+Rm8PPRlNh3cxNfydZnrce+rL81DmnvGLU04muBzPoA2YW1IzkqmcVBjn7X8Z897llfXerUqDX2Z55c9D0CTwCakF6SXuZy3lqEtj3sU3KdFH08+ub094u0SfUc7N+mMC5cnqHa7u/f/s3fe8VFU2wP/zmzfzaaTkB7q0DtIiYCKCgpiL2BDEBSfoqjP9hS7vmf/qc+OFbChoigqTQWkdylDLyGQ3jbZPvP7Y8KGJcGOwPN+P598ktyduXPm3jOzZ86cc+419E7rzdjZRrSQRbag6RpDmw/lyvZXcsHnF0Rt/48u/+CFNS80KluCLQENjZpATYOi+Y3xaN6jzNg2I2oxgoM80f8JcmJzuHjmxZG2g3N8JGIsMTSLa8am0k2kulJJcaZwY9cbG/VqX9f5Ot7Z8M4RY6mHNR1G64zWPLXS8Pid1/I8hrUYFumrQ1IHdlbtjHr92SqhFUW1RVT6KzFJpqj6x4dzfefrmbNnDs1im/HtbuMNR9/0vtza41ZkZK76+ip0dKoD1eTG5kb079SYU5nnqS+w8/jJj/P6+tcjHve8jLzIm4B+Gf24tfutXPblZeTE5rClfEuUDE1dTenapCtritewv6Y+DKhtYlt2Ve2KXLcW2RLljb639708u+pZqgPVDMwcyOL9i/GH/dza/dbIeEH9NTGqw6gGb0gyYjK4pfst5MbmRha9kCUZTde4+6S7SbQnsrpodZSn93Bu63EbH2/5+BevzUNJsCVEvQ1KcaRwZfsrox6AAS5odQFJjiReXfdqo/1MPWsqHZt05OkVT0ct5nGQIblDSHIksbd6L4sLFjOp76TItQ7GAhbL9i+LGKBgLDhxes7pPLvyWfI9+UhIUU4NMGocH/TU3tztZp5d9Swui4tmsc34qfSnBnLE2eKo9Fcy7expPLj4QTaVbWqwzSlZp2CRLRE9BBjRZgRTN08ly50VtcAGwMuDXqZTk04sXr8YV1OjHnFtqJZxs8c16PvJAU/yxfYvIm8o2iS2YU/VHsZ0HEOnJp2o8FeQaE9k+YHlvLT2JRxmB5e3vZzX1r/GhG4TKPGWMGXTFE7POZ2nBjxFp3fqwxcGZg1kXfE6ynxlPNj3wcgDb5orjWJvMUObD23gqb6r112sKVrD0gNLI/f+eFs8XVO6Mn/vfDJiMiJvGpxmJ11Tu7Kq0FhoJs4WR0gLRdWQPvz764YuN0ScMzGWGPqk92Fg1kDuWXgPHZM70jyuedRCMr/Eg00fpDS9NOpBBOCKhCvo5uwGQHW4mqrMKq5qf5UoHXeCIIxlQFGUpaqqnnTI/0tUVe19lI/5NLBMVQ3XgqIo+1RVzTjS9l//OEtfr6+iZUo7HlryEEEtiCUMbVI78lPxek5K6c6rgydz/4J7mbHjc8Z2vZ6ZO2Zi1mBP9V5kHeJjmtAttRvf7PoGkwavD3mTG7+6lv5ZA/iqwDB0LWHjjeJ/TnuGST/8i7YpHThQvY99VfmETBI5sTnc1esupm6eyrK9i/ASItuZzozzZ/Lwjw/w+bYZ9MsZiLprKSa7k6qaMqqtOnF+idbu5qzxbSfWLxFni+OJwS9y/aKJeMuLCMk6bZt2YU3xGpxBiXFtrmZ6/lecqgwlx5XB/YsfRDskaEjWwBWSSIhPJ79mH66AhMlkJqSFqDXrWGUrozpczbcbP6PIW0ytRSd8yP4d49vxcN5DPL3oMQZnn87dax5jUOapLN35HVVWIxTEGQRnUKLcrpNpbcJQ5TzGdf8H0358gf2BUlaUbkKt2oguQUiCJJ/EZR2u5MVtb+MOSFRZdSwafHj2h+yq3sUjs+8gJENWZge2719PWAK/GSQdzBpoEoRlcPslTK4YKkLVTO77HEGbhQmzxxMTMLxpnZr3Y9m+Jdj9YXQJSu3GcYIyIEG8T8LsdHNhh8vYuWc1o3rewK3f30axtxhNAh3jOGmuNGrLDlBp03ku7wleXvkiFpuTffs3Ueow7guxfolqq45cd5sIS5DhziBRdrOnWCUmLoUCbyGtLOnsCBQQ75OQJRl3k0y2V+/GHajf/0LlIj7c+hGWMARNECe7uLXVtZycmcepcy5E1iHBJ+E1GzpYYzH20yU41d2V+VWrSfBJDGw/nE+2f4ZJB2tY4oo2I/m8cB4evwdPoIqeKd3Z69lLoKyYSpuOLsH43JF0bTmQG78ei9+kEzSBrMPn53zGT2Ubefunt3jilKe4cfZ4dtbsxaSBtU5OXZaRNI2PzpzKuoKVTNrwFAOa5nFhu0t4aMlDlHqMkI2wDJ8MfIsXNr/BLu8+9pYZDznXJV/HrphdfLHna6wapMWkI1ms7PPs482+zxFw2rj1c8M7XWvWcYYM3Zl32fcMf3sgXrOOZpKxB3RqLTqp7nTu73s/X+74kqUHlhLw1lAbqCYoQ++sfljDEm1TO/H6qv8i6+Azg0mDoamn4HQn8v726XRIaMu24k0ETZBuSWZ/oIQ4v0RTV1MO1Bygqasp1oQUVpWuxR2QCMs6Jl3Cb7OghwIETYaeZtlS2awfwBWUMMXEolVXMUa5imd3vIUmG/pjDUNuXC4rAzvRJejlbk96UjM+2zUTWQOTboydJhnXdaJPosKuE5KNa6N7chfKvKUc8Bbx8fDpXPrFJVSFajDphi53SupIdU0pQTPk1xQg6cbchmVoHpvLvrJduIISTZwp3H/mU4z5/AocCU3wh/0EPJWEZLCHJL6/ehlm2Yxukjn53d5U6V6GNBvCgfzNbPLuJCxBakxTuqefhCfooWtKVz5SP0QKhpBlE3ur92LS4arcC1nv3UkTVyr+oJemMU15a+s00sIu7M44lMTWXNVtHPd9dxdba3ZF7rv/aHU1n5TM57ZON3HfnNvwmnWCsnEPqrbpjOs0jqnLX8VvtxAOBwhL8HDH23l22ZPUWHS8lujvDJNmXK+muusKoNaiU3vIdmbNGGMgcg9JNyWgOx2YJBMxmoU3zn+fj9ZP4am1z5HoNXRkS2g/1rDEtR3HMOvA94RrPez2FRDrlyhz6GiScfwnej3EnUvvRQfi/IYMfjOEJWN+D7a/cfHHjP7wQlKdqezQS3E43FR4yzBpsOKKVUzfMI1HVz+BpBsy/l/X+3lm82vowL4aw1A+pfkZbCpcy15fIbEmFz49yKQ2N/LMiqfJcmex0b+HkAw2q5PaUC0mzTjnmIBEgi2BlNQWXNv6CiatfxKbN4THZsi2KbiP4S2Hs2DfAsp8ZcTZ4hjdYTTTt3xMoik28sBz8P77VPpTnD7odB5aMImPdtaHsNydejdNzE0i/x+svS6M5RMDYSwDiqJMAf6lqupORVFSgBdUVb34l/b7g8d8HZiuquqsuv/3AM1VVW3Uvbf2qy/0xG8+w3PdbfjDfq5YeQVTvowlf8jprNs8k6s3OvAOPhfH18ZTedljL+H47msc39Q/Eb878RyGNh3Kh7unMu7F76g95xLsP3wLfj9nDSlgRNZIrnzuSwB8A8/E/t03hFPTMRUa8b9lj7+MJNdZnLpOwh3jmNnNzdBV1WjuWORqwzv7xQXdGTa9PmFoQ+tk2m9pmFWtOZzUXnQVjndfwtSIGuo2O5W3P4j7tWfZzAHeGpqNWTKzomIFDyxy0Xe/Bc3lJmi3YCktRa4LHFzULpbcUo2MwnpvwhfN/bS95mle3PEi1tIy/j2j3jupSxK73SFyq0wAXH9aNeM73UnrF17CFtTYkSTTvFQj0Kk7WmIT7N99jS7L6DY7sreWgKzzoeLn8k12dEliRZpGzwKJPe4w2dWmBue15vJz6fLeZ+yKh2sHVXDFBjtXbrKjoTOlu4UrVhoqsDkhTJvyhvvvdoexYya12hi0l/PsXLfQx3Nda8HmYMISiXBiMt6zzifmvVfR4hOQK6JjBd9p6yO13QDOnL6U/3auZVx+LnJFGVWpicQVFFE1ZDgfaosZ800R5dnpJOwpICzprG6XTJtO5xEz7fVIX9viQ7SsaBjRVeI2k1wdYl5HN933hnFkt2Xbyd1p9+KrjDirklf2DcC91oj//k6xI4fD9N9W7w31Zufg2LObDUkh2pdG978zNkyzuvnSzWaqbrybPS6onPwv8goarzzha9sB+6afWJUGd/Sr4KmVGXQokghn5CCXFhFq1grLlo383wU53Pym8Srdk5WJuVlb7D/MRnPFINXW8ExfmLhIx3P5ONi9lZgF8whKOltPOYl284yYUs9lo4mZ9kbU8YOSjkU3dLT8P69iXboA1/R3CbTvjHXDWg4nlJ6FuWBvg/aaM4YRGFSXMKrrxD45CVPxgchxnTM/ZsmEUaS89CwtS2Hz0FNpM7Pesz0nO0D7QBIphdVUuq0kVgVYnBakz35Lg2P5ExIwVZRhrpO7KjWJ2MJS1l5xAe3e+xiLLrE+w0LHfUEqW7XAvXUbMhLz27uY3cbCw9MrIokxS1q7+KqtmQdnVFLWoweX5M7h0QUuehZa2JFs4oVz0hmyuJDTNwX4NifAO3lubv9Bp/NeI7FXi3ETymqGf6/KivhqTsm34jXrOEKGbMFWbdnh3U1WYS3OIJHrr8qiERuMTs+pHnMzoexmuO6/CasmRX3muWwMMdNe5/nufq7JuBLX59Fvucoffxnq7oP2WZ/gmF+fGLYrNkxulYlwcgqmEuMhyu9yMLljgOuXGG8tdKuN2vNGYJ/9BQuvu4SH1Uf4aEEz4ovKCSenYippmHi6qF9zOrU+G/ebz7O4bwu6LN/BbneINmXGNVBl1bhqcDXNkjuwvsp4YzVtZiyu9n3ZUrCMzvsNB0CNWeeVy9rxE/l4Qh5enR4mPvDzqUvVYyfifvVpdjax0Ky4Yex8KKc55t31b7+WNrfyTbcE7vv49yXQbs6NZcoZ6Qz74QC9Nlegm8yghdmUEKRdmZn1yWE6lpgIZTfHVFiA5DfKHnpGjsUy/U3eyHMxfk4Fu5Mt5JTUy3vwPuW58Eqmb3yFqzY6KHJopHijzz/QthPWTesItmyDZdtmHj6pBuXkUdSGa3lv73t82MsI47JsXIt5+lvYq403VetO6catSfN4JuMZcitLiXnrBb6aOJJn9hhe66fTn46EDwFkZBi+sdraWmEsnwAIYxlQFGU7kAHsATIxYoh9gK6qavpROubTwBJVVT+s+z9fVdXMI22/+sdFetpjdyInJqOHgljatCew7Eesnbqhm80EV0Vn4WO1QqBh9QjJFYPkcKKVFCHFxqFXGWEEcmIyus+LXvvzGbqmpumEy0oh0Hh2/0HMrdoQ2mokmkgOJ1JiEtbW7fDN/wbX+Ik4e/en7K6bCBfux9a3P/4f6kM4TJnZJD76POX3TcSedwqe9wzDzDXiGrzfzsTUux/BmdFJJ5LLhV5zZNlNOc2RzGa0ynK0kuiQCDmlKVpRfdKI5HKBbMKU0hTXtTdSeeeNRh9pGWiVFcSOuxn/isX4Fhyydo3ZTMy4mwltXI9v/jeNyuAYfA7+XduwpmXVbyNJcOg1aLZAqPFkroQ3PsQU1ii58Wrw+0h88mU8H71LYOkhSZM2O7bBQwl8+yW614u1a08Cq5cfcVwaHNNsxnHBCLwf/L66wPFPvYy2YztVLz5R32gyQTg6vEFyx6JXVxE7/lbk2Dgqnn4Ec3omln4D8E6Z3KDfmMuvxfPea7hGjqZmyiFGqCQZ53i4/gOWDl0I/mQY4/a8U/EtrJ8vye5A9zVeqeDQ6+JQ5PhEbD374J3/rTFeVlv0dXDIOFq79WpUpqhj+HyR/V2XXEW4pBjf3K+wDTwd/3dGDKZj+MV4Z3zYUJaERCwtWuO6YCRld91Y36/Dge497LxkE/xC5RLJ4SRm5Gjs/QcR0oJULpqD9ppRScPU92TCPy5osI/lpH5YUtOp/fyj+kOlNMV5xtDINatbrDR5/QNC21QqHrkbyeFErzEeYh0jR+GdUh8OISc3QSspxtysJaGd2444D78VOT2TpMdfoLZkPzUT60roSxJyXDxaRcNkXzmpCVpp/T3CPuB0fN/Prt/AakV2xSBZbISLDquII8vE3/0IlU89hO49JFzosOv64DyZW7YhtM24T7ouuYqaD4ykRjk1Da3wCNV2DunLlJFN/CPPUH7njWgHCnBeMILa2V8a/RceiJxr4pMv44uPoeqef2Kp8SBZrSDR4F74S8Q98CThndvwvNV4lRVb/9Oi7uWHEnvbfVg7dqP0trHoxfUViZyXXkXt+29jG38zmiwRfOEZHEMvILBqKeGC/Eb7ajAnNK777tE3YO5/CuzaRfmk24xGsxlCdT4pSaLJ5I/RQyFKrr2k0WOZcpphSk1DttkJbFwPkoQkm5DcbkLb68OknMMuxDnmBr6b9x395BCVzzwCQMz4W1lkNjz1B2n6/SzS0Uh86BnhWT5B+Fsn+B1EVdUWx+Cwi4BhwId1McuNZ2AcxGYHjC/J0PYtBJb9CJJEYN0qJFcMtr4D8P/4PY7Tzya0ZxdBdQPx9z6OOSOLcGkJ5fcYsbB6jQdzbgviJv6L8ruNhJfk/75H+SN3oZXVe3/j732c2i8+JrBmBXG33BO58JGkIxrKCQ88RfkkIxlIdrpoMvljaqZPpfbLT7BmdMWcbjwL2Fu0wZSQROLDzxDcpmLt0gP9mn+g+2qNL7GEJGSHE+dZ51L9jhF/aOvTn5qphhGlzfwU97U34fthDkHVSDY0JaWQ+MpzBNSNVDx0JzGXX4s9byAl140EILx7B6aMbJyDh+N573Xc427G1q0XsiuGypeeJmQykXDff5ATEgmsM5I5LG3aY0pIwvTUK4QL8ql86iHkxGTsAwZh69Of0oxcXO9PxjFkOPZ+A7F26o4/Jhbf/G+IGXENlnYd0aoqqfzP/YaMKU2x253UzpyOHJ9gfFHXGcqOIefiHDIcrawUa4cuhEsKCRcVYm3XiXBJIZgtmFOMxDvHwNPxLZyPpXU7zEkpBCDypRt/yz3YTsojmDeIstuvw5ScQvIrU6n8v38T3LCWpBfegYCf0onXAmDt0gPXuZciJyVT/uAdWNu0J3bEaLSd2/EvW4TrwpHUfDyF+Hsfx5TUBK2qEt3npeLRe8Bqw3HqYLxfzyDun/djadEac3oWeqt2WDt2IVxagqVlG4LbNiPbHWjeGsr/dYtxDv0HGXrRsRum1DTQNEK7thNzxbW43/scTGZCu3ciJySgVVZgbdsRe95AzBnZSCYznndewdKqLQmT/o33h7lRhmns+NuwdupKcNsWKn9ag+PMYbguGBllLB9qKMvJKWglRcjxCcTf8xhaeSnmrFwkux3vnK/wTHkDe//TcF91PXJcPLZe/TBnZBMq2ItksWBKTUMPBNDKS6l+9zVC21QC69cgueMAHb3ujUv8ff+m4sE7DF1ISMJ99XV4536Nb+E87H36Y85pTsylV2FqkkL40qsJFx7A2qkbrqEXQDiEqUkq4eJCKp97jOCmn/CvWIJ/xRIs7TsTP/Ff1H75CTWfTIu6JpNeeJvwgQLMmdl4539LzQdvE3/Hg5jSM5FjYtGqKym78x/o3lrMWTmYEhIxAU2GjSDc/WTCJcVYWrdFH1eLZHcS3K5G7hsJE++NPDDGXj+Rmk+mYWnVFmu7Q0ts6ZgTkzH3Sibx0efRqiqQbDbKJ91mGMqyibgJd2JKzySwdiWe917HOWQ4Vf99Cr2qEtf5lyHZHXimRj9AOU4/G9cFI9BrapBcLiS7k+KrG6/F7hoy3BjvhCQcr0wluHkDlc88gjm7GXFPvYoeCmJKbEK4tIhw4QHjHmaxItls6J5q3KP/ge/72dh69kWrqiSobkALlGHt0gP32JuoePiu+oNpGta2HTGlZRDasZWESU9gSksntG8vvgXz8H33Lc5zLqL2i4/Bao0YygkPPIm1cw8srdtS8dCdSBYrTd74CD0YQI6JpejyYWCxkjr1SwIb14GuU37/bUhmM5akFJynDsYzdTK1042qHrrXS9Izr6PVVCO73FhaKliBgtETyNXrjfagupGa6VNImPQfzC0Uiq800maSXzbiziVnTKQt8T//xdq2IwGbkaSWMOkJLK3bEsrfje7zUj7pNlyDh0eM5eSXphAuL6X87ptwj7kRR/9BSJJEk+ffJrR7B2V33EDMFdfiuugKnAPPwJSehVZaTDHP4J05HcnuwH3NDVg7dkWOT6DqxSfwr1iC5I7FPWp8A2P5UEM56ZnX0aqrsHbujiTL6K54MJlwnnMR1g5dkGQTcnITJKsNU3KKIe+r7+P7YQ6e99+iyesfEtq9k+D2LXjeeYXwbqMUZdxtk5CsVnwL5+P7YQ6SKwbd58WitDfm+JMPID4VPVjvqPL89ylMEyZFyeo8UICpwy+XohMcPwhj+djxKXC6oig/YoRojvrZrWWZ2Al3Ye99Mv5VS6mZPhXd4yFmxChC+/biGn4x/pPysPXogx4MENy+BXuvfgCY0uod1rE33I69z8nIcQnE/fMBCAaML8mUpoT37SX+zgfRw2HsvfrhX2okHdn69Cfe4SRcVoK998kEt2+h4qE7o8SLHX8rtm69iL/3ccIF+dh69cXUJBVTmvGqydQ03fAwQn1bckrkRoXd0eCUHacOQauuQjKbcZx1HsVXnw8mEzGXXIVz6AWYm7Uk+NMaPFMnE8rfjRyXgK37ScReNxHH4GFIJjOJT75MaMdWqv77FM6zz8N51rmYmqRi7z8IyWyof8yFl6P7vJgzsw1R+vSPksPauh3h+ERDpjONfiWHmUC33qQlJ+MYeAaSzQYYHnUwPIe2zj3Q6rxockpTnGdfgFZegmQyYVHaET5QQPXkF5GcLtxXjkWOcUOzlkY/GdmYM7Ijfx9KzKVXY+vSE0mScF18JZYOnbG270zgpzXY+w00ZG7Tnvg7HjQM/uQUEu56GP/q5VhymgHGw1DFQ3ei19Rg626E68dedwvmzBwkWSZu4r/wr1yCrUcfTGmZEV06FEmSsDRviRewtGqLuWl6pP1Q+W2dujXY133NeMw5zTBlZCFJEqbUNML79mBOy0COSzDOoX3dl0l6VtQ42Lr1wvPOK9j69EeOS8BSN+YA1q49cZx+tvEWodxIBrJ26GLoXx2x4w0Pk+73gWzC1rMPJWMvxXH6UKxt2kfJ6Th1CJ4pb2BR2mNKSQXA3vtkQ56snOiTatYSU3oW/mWL0MpKsbRU8Hz0LqHqKuJuuQd7z77E3TYJrbIC+8mnYkpIpPZLoxqHue7Nx8ExjJr/Q2Q3Z2ST8K/HCaxfhe73U/nMI0h2h/EW5KIrMLdUDAMgMZng7h1YcppjyWkOgOv8EZiapmHPOyXSnyklFTkxiXBBPnJifUWIw+cQh9MY+45dI9vIThdygnFdWFq3I27CXUgOJ+bcFsRePxFzVi679h+I1OE8OJ96OIx77ATDsx4OYR8wCMlkxtKqLbI7Fsegs9E1zbjuTx0ceSA+iHv0DTiHnBe55n4O96jrcZxxTv34pWeh1XmrjTltGjW25oxsYifchexwGobg7h2YEhKJm/gv494a8BPcvgWCAawduyHHxhF3+yTCBfl46t54SO7YiGyWdp2QnU7MGdlYlXbYevTB1rUn1nYd8bz/NqFd24mdcCe2bsY1eOh1dqhsCQ88iSkjG8lux9atV6Rdq3sQc557CXJCElplOXJcAtZOXTHXXTeHosfFY29bX/3B1qMPptQ0rN17R4UIHHrPSXz8RSSrNXKdWdq0J3b8rVi79kQymbC264SuacSOvxVLu44kPTcZPRjAnJmNKT2T2PG3GddkXf+yKwZL245G+6AhEV0Dw6sfe8Pt6LUetNpaHEOGI9d9N7hHjcfa9STM6ZmYkpKJvelOLM1aEti0HnNaJlqNB3NmNuHSYiwtlajzlmw24m66E1uPPsixcY3qijktA8egszClZ2FKaoIpqQnmnGboAT9yfAJybByOk08DwNquE6Z0474Y2reHUEE+NdPeJLBqKUyYFP1WAZD9PrQ6h5chEJibt2pUDsFxiq7r4ucE+Fm1apV+KP51q/TqD97Wfy0VLz6pB3ZsPeLnZQ/fpe8fmqcHdm6LtAV379Ar/u/xRrevevc1veTWsfr+oXl6+WP3HrHf2nlf6/uH5um1877WQ0UH9LJH7/nVMh9OzcxPdO+P3zdo98ycrnsXzjvifprPp5c/9ZAe9lT/7mNroZBe8cwjeqisJNK2cePGhttpml7+2L16qKQ40lb+2L16qHB/o/1WPPeYHizI/91y/RGq3nxJ929Y+7v2rZ72pu5dulAPlZXoZY/9S9c07Vft5/nsg0bnqmbWDL3soTt1LRD4xT40v08v/8/9eriqMvJ/2UN36nsmjoua4+C+vfr+oXm6d9F3uq7reu0Pc/Sarz5r2J+m6RXPPqqHSooa/az88fsa/ezXUHzTKH3/0Lwjjk9g62a98pVnf1ffuq7rEe64RQAAIABJREFUVe+8qvs3/fS799d1XS+58x/6/qF5eriy4ldt7/n8I732hzm6rut6uLpKL3vk7iPOW2PXyG/l4DxWPPuoXvP1jCNu512yQPd8Mk0vf+xevXbOV3r1h+80ul2ovEzfPzRPr546+Q/LdhBN0/T9Q/P0/ecM0HVd10vvvknfPzTvZ/cJ7NquV776XIP2qjdf0n3rVjWyRzTVUyfrvlXLfpOcvzQfnhkf6bXzv/lNfQqM+9f+oXn6/qF5+uxvv9Wrp06O/L9/aJ7+4+RX9dmzZ0d+to++RPfMnK7ruq6vWLFihX4c2Bji5+d/hGcZo4ybqqqfHPx9rOU5ElptbeSJ1ZSehSPD8Bzo4RBaRfRyq7LbjWS1oVWWo4fCxFxi1HPUqquQ3bFoPm9UjK9eF1ohuWIIl5bU/e0mZsRodJ8PyW43XsEHjVd4ziHnYs5tQeW/7yPulnsi+0SOH5+AZDIhx8UDYGnTwXjlevPdhhyeanT/IeEcJhOm+AT0YACtKrqMmxwXj2Q2Y+vbHzS9Xj67HdkVg2PgGeg+X70MsoQpIQk9FEKrNMbFfdV16D4futWKZLESriiPiqOVbDbkGDeatxa9NtorYEoyPG4xV4yNOj51r9q0ygr0UH1e5sE4XN3nQ6vx4L7WeG0dLi0xPHGShFZmlFOLGWlUQdB8XiNUoboK/ZBYc8lsQo5LQA/40aqjVzuT4+ORTGbCZSUcWq1KcjiRnc6GYyzLmBIS0YNBtKpKnMMurJcrNg7JYiFcXgZa/YIykXE5RPcAHGcMxZSYjB4OEXvthMj5QEPdi/RlteIafjGaz9tAXxxnDsNxxtCINzjSlyumge4BxI6dgOyORff70TzVxF5/K4VbtxpzbHcgmerjA6X4BMKlJYZXydHIuJhMxE24Cz0YaKjHcfHE3/EA4fLSqM8O6p5W4zE8pJEdonXvoF5oZaXIsbENdE9OSCJmhFHa7ki6p4fDDWJr5Rg3ks2G65yL0EOh+mvCYonSvah9DtO9g7jOv5SKn9YYVVIOPccj6J6970DkeOO61gN+YsfdEvHWHq57UmWF0edhuhcl1y/onlTn1baffjbm1HTCZSUR3Tv0vmdp2QZb155I510a0b3IuFit9fe9ujkx57YwdD8xCXT9V+ueZDYjx8VHdC/SHhdPzOVGeJOt98kENq6vP77T2UD35JhYXBddYYzjIfe9g9elHgohmc2Ey0tBq7/AD+qe85yLfvG+Vz/Ghu5JnqroOT7svnfwzVS4tOQXde/w+97v0T3J5frL73vR4/Lb7ntINKp7kssV+dtSVUGo9JDzjHHjKCygtmkGpjq5pFAI3VuLroucsROFv3WCn6Ios4FqoC0wBnhUVdUBx1aqxlm9erXectNqaqbVJ8RIThepH3xNqCCfknGXRW0ff+/j2Hv1o/S2cVGvMe15pxJ/xwPUzJxO9SvPNjhOk7c+o/jqc6PaYifciXPQ2ZQ/eAf+5fULDVg7dSPxkefwLpgbicut7+dTTEnJHDh3YJRRGnP1dcRcMJLKZx/FO3dWpN2c25zk59/Gv3ZFJK71IEn/9yaWZi0puurcqJut6/zLcI8aT/Wb/42K1ZQTk0h5+zOCO7dRelN0dEvCw89g69yDkhuvIrSrPoPbcdoQ4m6+G8/0KdHJKyYTTT/7jnBpSYOYSM+Ia2l52ZWU3TMhEucMYOvZl4T7/k3tnC+peu7xqH1S3p+FZLNTeN4pUe3ucTfjGnoBFf+eFBVba1HakfTkK/iWLWoQ+pL8yjTM6ZkUXjI4KjHTddko3COuoerlZyKv+cEIf2ny6vsENm+g7PbrovpKfOJlrG3aUzz2UsL761elc559PrHX3UL11MlHVfdSP52P7vdRdOmQqHahe43rXtw/78dx8mlC94TuRdp/je7lX3sp5gP1Yyx078/TvYN4mzTFUVyfMC43SaE8PpmajBzSv5sVtW3qp/NZtXatSPA7AfhbG8sAiqI4gWXAB8BNwGpgh6qq1/3sjn8xq1ev1jsryq96yoWf9+415lmu/L/HCKxaRspn36Ef7kn4jR4WqPcsH+6pa8zDAvwqz/KRPCy/5N2L6qsR7x78sme5MQ/Lln37aNups/Cw/EHdA/4U797WrVtp1arVcaV7ejjE4nnz6Hv6GX+q7p0o3r2Dc/K/rnv143L86F5UX3W6t3n5Ulo1r89n/1/Wvfod/hrd0wM+SsZext5B55A15/NIu3vsBEqnvsnWK8ZjqjvHnE/eocm5F+M671JWrVoljOUTgL91GIaiKG8Ay4Eq4FHgVFVVz1AUJefn9zw2yE4nOJ0N2iWTORIq0GCfumSpBu12R1RSnWQ1ElJkkwmO1NcREiMkmw3TEZJtjihXjBti3A3aJYv1iPuYEpIa78sVA66Yhn2ZjzwupvgjjIvDGUlmiurLZGrYV5FRdulgqEmDfex2THZ7o58dcVzcsY33ZbVhSjrCGCf+1jG2/MwYJzbe11HUvfrOpCP39St0Ty8qjtr/eNE9f3JKtFx/hu4d3Oc4173D5+R/VfcO53jRvcPRY2Ib/ex/Ufca9HWUdU/XdTCbSVCjV2V09B+E+Y0XcBTtpzYz19hflo0HGCm6xrfg+OVvbSwDdwO9gRxgBtBeUZRHgFXA7mMp2F+Ne8yNWDt0OdZiCAQCgUBwwiFJEpLThVaXL2Fu3gp73qnIcfH4mqThKD4QMZbRdSS54YJTguOXn1+6538cVVULVVWdASxSVXUo8APwCdD4o/z/MObUNFzDj+qihQKBQCAQ/M8iu2KwVhuhHjEXX0nMRZcDoMvRppaka8aaBYIThr+7ZxmAg0tbq6p6YV3Typ/ZXCAQCAQCgSAKOSYW63YV+8mnRiqLADRYqVXXjZU1BScMf2vPskAgEAgEAsGfgblZC2RNQzosZlo/zFiWdB1k4Vk+kRDGskAgEAgEAsEfxNLSWOVQbpBgKBkG8kF0HUkW5teJhJgtgUAgEAgEgj+ItW4p8sNLBzYIw9A0kIT5dSIhZksgEAgEAoHgD2JOTaOky0k4z4pe2EuXoj3LEjoIz/IJhZgtgUAgEAgEgj+BAwMGY1XaRzdKEuj1i56gCWP5REPMlkAgEAgEAsHRopEEPxGzfGIhZksgEAgEAoHgKHF4GAa6iFk+0RCzJRAIBAKBQHC0kCTg8DrLwvw6kRCzJRAIBAKBQHC0qAvDsFSWIwf8os7yCYhYwU8gEAgEAoHgKKHX1VlW3vo/PFnNxAp+JyDCsywQCAQCgUBwtDgkwc9WWoyka0iS8CyfSAhjWSAQCAQCgeBocYixLIVDImb5BETMlkAgEAgEAsFR4tBqGJIWrotZFubXiYSYLYFAIBAIBIKjRZRnOSw8yycgIsFPIBAIBAKB4GhxSOk4WdPqmoSxfCIhZksgEAgEAoHgKNFgURKoM6AFJwrCs3yUURQlDngPiAWswERVVRcrinI+8ASwt27TSaqqfn+MxBQIBAKBQHBUiF7uGgCTKB13IiGM5aPPRGCuqqrPKoqiANOAbnU//1RVdfoxlU4gEBz3hMNhTOLLVSA4MZFoaCz/gmdZURQJMKmqGjrC5zJgVVXVpyiKVVXVwJ8jrKAxhLF89HkG8Nf9bQZ8dX93B7oqinIzsAy440gXhUAg+PuiaRqrV6/G5/ORl5d3rMURCAS/kcbCMKQjJPgpimIF+gA2IElRlL2qqi48bBsZGAh0UBSlAEhUFGW+qqpbj4L4AoSx/KeiKMpo4JbDmkepqrpcUZSmGOEYN9e1zwY+A3YCLwPXAS8cqW9N09i0adOfL7Tgd+Pz+cScHEccz/Pxe+Wqra3lp59+omPHjixevBhVVenbt++fLN3R43iek78jYj7+GhqMsSSDrkU1bd+5E63GF9WmKIodSAE6ADXASmBEned4Xt02MUBfoC2QCOwCFgBDFEXJB3yqqh7mxhb8UYSx/CeiquobwBuHtyuK0hF4H7jtkLjkyaqqVtR9PgO44Of6lmWZtm3b/skSC/4ImzZtEnNyHHG8zse+fft+l1zV1dV8+OGH7N+/n9zcXCZMmMDkyZMpKipiwIABR0HSP5/jdU7+roj5OPo0dr1vkCRkTWdtrREp0dlppUWrVpjTs1i5ciUAiqK4gdsxDOB04EugN/AccHZdWIYdGINhLKcBc4GrMeyO/aqqeo/6Cf5NEdUwjjKKorQDPgJGqKo6q65NAtYpipJZt9lpGE+QAoHgb8S6devYuHFjo5/t2LGDli1bcvPNNxMMBtm3bx+XXnopFouFUEhEbAkEJwySxKaSctZ6g6zxBvmh2m94m6PpDWQAG4FyoB2QAChAIRAHjMQI4RwHVGHYDcsxoqK9iqLE/hWn83dEeJaPPo9hPA0+Z+T3Uamq6nBFUcYAnyiK4sW4OF47hjIKBIK/mB9//JE1a9bgdrspKytrEI/cuXNnwDCav/nmG0455RQGDx5Mjx49MJvFrVsgOFHYWFLGrsoqYkwSW7xBMiymqEVJFEWxAadjGMQLgfbADqASwyCOASYAXsANPA5sxvAw1wKzVVX1IzhqiDvuUUZV1eFHaP8W+PYvFkcgEBwHbNiwAVVVadu2LRs2bMDni45d1HUdqS5bfvfu3aSnp3PWWWcBYLVa/3J5BQLB72PWrFlUBoLsqaymtNpPmsWEVZIii5LoRuJfV2ATkISR2/QjsKquzKwEDMVY1cRd9/l1wH7gxkPCOSURq3z0EMayQCAQ/IV89dVXWCwWgsEgK1eupF+/fvTp04eamhpcLhcAkiRFDOZTTjmFU045BYg2ogUCwfHNokWLmDdvHq4qDzmxMTSvqcSn6wR0nYAWxhIKsWLFCjeGV9mCUS1rLca6DLF1YRUnAx+oqqorinInMAgYDWSpqlpRZ0wjDOWjizCWBQKB4C9iyZIlLFy4kP79+zN27Fi+//57+vTpg6Zp3H777fTq1Qu/38+oUaPweDwkJiZG7S8MZYHgxGDz5s0sX76cPn36MHP1SmJlIyC5p8tGM6vMy2+9jexwsnv37hiMpL4c4ADGQmWLMd48XwycB2RhVM3aAKxXVXU3sPvgsYShfPQRCX4CgUDwF7BmzRrmzJnDww8/zO7du1m3bl2kqoUkSVxzzTW0b9+erVu38v7777NmzZpjLLFAIPgt1NTUUFBQAECbNm3w+/28//779MxK4/oOrWllM9PBYcEqScz4ahazZs1i/vz5TTAS9wLAXcDXwMw6A9iGEW5xsqIo7wNLgVmHHlMYyn8NwrMsEAgERwmPx8O+ffsA6NKlCxs2bGDatGmMHTs2ykssSRKyLDNlyhTGjRtH69atj5XIAoHgd6DrOjNmzGD16tV06NABp9OJzWbjhhtuYO7zz7AVjZNcVnRdZ703SNPUdPyhEDabTautrZ2BYY91AlYD9ymK8iaGodwTY+GybkA7VVW/O1bn+HdGeJYFAoHgKBAIBHjttddYvHgxixcvxu/3M3LkSJo1axYxlHVdj5SB69atG/369UPTtJ/rViAQHGfU1tbi8Xho3749Pp+PzZs3U1paSk5ODoWFhZzTtjWt4twArKoN8mWVj8suvoh9+/aRm5vrAdYA12BUwkjHqIoxEDgLo57ySlVVrxKG8rFDGMsCgUDwJ1NbW8vmzZsBaNWqFXv27GHu3LkA9O3bF4/Hw2effYamaVFl4E499VTatGlzTGQWCAS/HZ/Px7fffsvChQuZM2cOVVVVtGjRAlmWOe+882jevDkVfj+ri0vxaTrb/EGqwxrfLVjIqFGjOO+88woBVVVVvS6kYgtQBJwCvAtsBzzH8BQFiDAMgUAg+FPxer3MmTOH2NhYmjdvjsvlorq6Gr/fKIMaCASYNWsWX3/9NWVlZQwePJhwOExxcTHdunU7xtILBILfwsKFC5k3bx4tW7akpKQERVFIT08nKysLgE6dOnH5bavZVlTMMLeNOJPMBfFO3s3PZ/DZZ5OcnOwF5iqKkgz0VlV1pqIoHwB9MDzOm8TKfMce4VkWCASCP5FFixYxd+5cZFnmp59+YunSpSQkJHDeeecBRhJQQkICgwcPpmvXrnz22WekpKSQmJhIKBSisLDwGJ+BQCD4tbRq1YqCggLWr19Px44d0TSNF198kbKyMsrKypg/fz7+UAiTLDHf42e1N8BmX5Dk5GSSkpLYsWOHHRgAtABGK4rSu67rNKAjxup8B1f+FRwjhLEsEAgEfyI9evTAbrdjMpno2rUrTZs2ZeDAgYARo5yQkECHDh0oKytj3759JCYmYrPZyM3NpaCggB9++IGioiI2b95MMBg8ticjEAga4PF4WLRoEbt27WLhwoWMGTOGxMRETCYTeXl5TJgwAavVytSpU9m3bx9um414qxWrBJVhnSybmcFnnkEwGOTNN9/MAi7EqLH8LjAMo4zcy0AZ4FcUJUNUvTi2iDAMgUAg+IN4PB7Wrl1LRkYGubm5TJw4kffee4+2bduSk5MT2e5gYl/Tpk0ZMGAAXq+Xrl27ArB06VIKCgpo1qwZe/bsYcGCBTRv3pxzzjlH1FcWCI4T/H4/06dPJzc3l/fff58hQ4bQvHlz8vPz2bVrF/v37+e0005j+vTp2O12LBYL1/Tuxp4tW/hu6046u6y0tpkhK5u33nkHr9drAs7GSOorAzYCKaqq1gA1iqJ0BTopivIDxmIl+4FiYTz/tQjPskAgEPwBDn55hkIh3n//fTZv3ozT6eSyyy7jrLPOora2lhdffJHZs2ezZMmSyH5t2rSJGMpr1qyhtLQ0Uh0jPz+f9PR0+vTpIwxlgeA4Qtd1CgsLycnJYdSoUaxbt47S0lL27t1LUlISOTk5rFu3jrS0NMaMGUNsbCz55VX0TIqnrdOCRZIoD2m8+NJLVFRU0Lp1aw9QApyEUWt5DvCpoihZiqKcjpHotwvD2zwEGAyYjs3Z/30RnmWBQCD4A+i6TmVlJa1bt6ZNmzZ8++232O12cnNzKS0tZfbs2Vx11VU0b96cTz75hA4dOuByuSJG8Nq1a/nxxx9p1aoVgwcPRpZlNmzYgKIoUZUyBALBsae4uJjS0lJuvfVWBg8eTJs2bXA4HFx55ZW4XC5uvvlmUlNT2bVrFy6Xi4kTJ6I5HZQVV3BuvJPdgRBfVXgxmUzEx8eTmZnp+e6771YDQeAnVVW3K4rSC2OZ6z0YC5NkA06gAJilqmromA3A3xRxJxYIBII/QHFxMT169GDq1KkkJSXRokULcnNzAcjPzyc/P59WrVoRFxdHKBRC1/WIobxt2zbmzZuH2WymqKiIadOmRWoxC0NZIDi+WLx4MbNnz6Zv3760aNGCwsJCRo4cSU1NDSkpKYwePZo9e/bQsWNHunTpwldffcWCBQsYmJRIbVEBDklirz/EqtoA8vbtWK1WKisrYzFilderqlqhKEof4DYM+6wI+AmwAuuB1aIyxrFBhGEIBALB72Tx4sW8+eabaJrGiBEjaNeuHSeffHLk886dO3Puuefy2muv8dxzz5GUlITbbSxOsGjRInbu3EllZSXZ2dn0798fn8+H3+/H6XQeq1MSCASNsGPHDmprazGbzSQmJjJ27FjatWvH2rVrSU5OxmQyMWDAAGw2G8nJySxZsgSHw0FCQgLr9hdS7PUxo6KW2VU+HLJEXFwcsbGxDBgwoARYVGco9wJSgHLgEcBb9/enwAphKB87hLEsEAgEv4ODX57p6elkZ2eTlpZGr169ACM0IxwOA5CRkUG/fv3QdZ2LLroIgOXLlzN37lz69++Py+Vi+/btfPHFFwwfPhybzXbMzkkgEDRk+fLlzJgxg927dxMMBqmqqkLXdc4///xIXsGePXs488wzad26NS+99BI7d+5k2LBhXH311YQ1jf9s2smH5bVsD4SJM8ncddddSJJERkaGX1VVTVGUtsBEjPCLp1VVXQa0ApoDIVVVA8dyDP7uiPd8AoFA8BtZvnw5CxcupE+fPlx55ZVYrVbAqIqxePFiOnfuTEpKSsRo7tOnD3369AEMQ7pTp06sXLmSmTNnYrVaGTx4MJmZmbhcrmN5WgKB4DDWrVvHtm3bqKyspLS0lPT0dDp16oQkSXg8HjweDzt37mTu3LlkZmaSmpqKoih0796diy66CI/Hw4Ltu4gzmxjmsjKnOkB5WOPzzz9n8ODBJCQkhOsO1QLIBToB3RRFmY7hWX5RVdWqY3T6gjqEZ1kgEAh+Awe/PGVZZsuWLZFayIFAgC+//BJN03jrrbcoKCigrKyM/Px8dN2o8qSqKqWlpdhsNsaMGYPJZEKWZTIyMoShLBAcR+i6Tn5+PjNmzGDTpk1s2rSJ7OxsxowZQ1ZWFjU1Nbz88svcc889fP/998iyzLJly4iJieH111/nn//8J2vXrmXp0qW0Sm1Cu1gn2wMa1WGNdIuJjIwMrrnmGr744osmiqJkAt9j1Fr+GJgP7ATGq6pafCzHQWAgjGWBQCD4FRz65VldXU0wGCQ3NxeXy4Xf78dqtVJWVkbPnj254IIL+PLLLwkEArjdbsLhMHPnzmX27Nls3bqVdevWYTabGTBgAFdffTUxMTHH+vQEAsEhSJJEZmYmHTt2pLq6moyMDOx2e+ThePv27aiqSklJCbNmzcLv95OQkMD+/ftxu9189NFHLFiwgLlz59IiJZnWTjtb/CGy7WbubBrH+PHjAdizZ48dmASEgJuBKqApRozygWNz9oLDEWEYAoFA8Cs4+OV5/vnns3r1alq3bk3//v0JBAI88sgjDB48mPPPP5+33nqLjIwMWrZsSVpaGomJiZjNZlRVRVVVhg0bxrRp0ygvL+ekk07Cbrcf61MTCARAdXU1y5cvjyTxxcfHs379epo3b47f7yc3Nxen00kgEKCqqop9+/YBEAwGWblyJYqiEBMTQ2FhIZs2bWLFihVkZGSw3etB9/vp77JysttGvFlG13Xmzp1LVlaWF0gF3saogjEV8KuqWnrsRkJwOMJYFggEgiNQXV3NsmXLsFqtJCYm0r59e9q3b092dnakqoUkSeTl5bF06VKcTifjx49n8+bNdOnSBYBVq1ZRWFjI9ddfz44dO6ipqaF58+b07NlTGMoCwXGC3+/nm2++Qdd10tPTSUxMxOPxRB6OMzMz6d27N4FAgLvvvpva2lqGDBnC3Llzad26NYmJiYwcOZIvv/yS559/nnPPPReXy8UXX3zB7lCQk83Q3WXDIcvs8Ab4ae5c1q9fT3x8fAh4D2Oxke7A16LqxfGHMJYFAoGgEYLBIMuXL6ekpITs7GxiY2PZsmULrVu3xu12EwgEsFqtWCwWBg4cSK9evXjhhRdwu90RQzkUCuF2uykoKODTTz/l/PPPZ8qUKQwcOFCUhxMIjhPKy8v59NNP8Xg8BINBSkpK2LlzJ5mZmQwcOJDs7GxCoRDvvvsueXl5KIrC6tWr2bVrF6NHj8bpdNK+fXvMZjMzZswgGAzi8Xg4cOAAfr+fJk4Hp5lqybZZ+KHax+KaADuef5677rqLuXPnmjCM5G8xFhzxHePhEDSCiFkWCASCw6iurmbKlClUV1dTXl6OzWZj9+7dFBQUAMaX67vvvktRUREAZrOZ+Ph4Jk6cSIsWLSL9aJpGq1atmDBhAuXl5cycOZORI0eSkZFxTM5LIBBEEwgEmD17NomJiWRnZ2OxWIiLi8Pr9bJz507AqHJz6623sn79ej7++GOqqqoYM2YMFosFu93Oaaedht1uZ/fu3bhcLsLhMFVVVWiaxi233MJFJ3Un02pmlz/EstoAdglatWrF3LlzSU5ODmAsODJHGMrHL8KzfJRRFEUC8oGtdU2LVVW9S1GUYcB9GEH9k1VVfe1YySgQCOoJBAKsWLGCQCDA8OHDee+996iurqawsJC4uDg8Hg/PPvss8fHxkTAKWTZiEA96i3Vdp6ioiI8++ghJkhg0aBCjR4+moqLiWJ6aQCA4hFAoxOuvv86ZZ57JO++8Q1paGrt27SIpKQmr1Up8fDzl5eW8+OKLeDweHA4HACaTieLiYkaMGAFAbW0tDzzwAHv27CE1NZXOnTuzbt06EhISaNOmDYH9u/m80svuQJjLE51s8oVYb7Vis9no2LGjR1XV947lOAh+GWEsH31aAKtUVR12sEFRFAvwDNATqAEWKYryhch8FQiOLaFQiNdee41Bgwbh8/mYM2cOMTEx5ObmEhsbS1JSEkuWLGHw4MFYLBaWLVtGmzZtyMzMjCxhnZ+fj81mY86cOfh8PiwWS6T/+Pj4Y3VqAoHgMMxmM3l5ecyePZu2bduyYMECysrK6NixI5s3b0aSJD744ANWrVpFbGwsO3bsIBQKYbPZaNKkCdu2bSM7O5uioiKKi4vRNA2fz0f79u0JBoO0bNmSTp06MeOTD7DLEi4JPi73cnKMjQ4dOrBnzx7AcKqpqqof4+EQ/AzCWD76dAcyFEWZj1Fg/BbABmxTVbUcQFGUhRir9nx0zKQUCASYzWZOO+00vv/+ey688EJWrVpFOBwmJyeHnJwc8vPzKSwsZMSIEZSXl7NixQoqKyvJzMwEjOWvV69ezdChQ8nKykJRFOFNFgiOU0KhEHPnzqVHjx7MmjWLcDhM7969ycjIwOfzsWPHDr7++musVisJCQnEx8fjdrtJSkqib9++zJgxg8mTJ1NRUcH/t3f/wVWVdx7H3wkhQSCJwRBAlF9WH6KlrkQQqCIF1wUs25ZxndbOVltqbe3uuthOW7sz7eh0W9u1bnXG3W63OF27O9PSdWzVal2pWkEsYtQNSvhSlS2V+iOi8rMBQrJ/3Js0htxAIblJuO/XDIPnx733e3m8937Oc55znvLyckaPHs3WrVuZMGECy5Yto6SkhLa2Nvbs38+M4aW81NxCU0srf2ht4/LLL+fAgQM0NDS0GZQHPsNyL0opLSMThjv7LPCNiPhJSul8Mle9Lgd2dNpnF1CZnyol9WTq1KmUlJSUayHZAAAQTUlEQVRw9913s3jxYqqrq4HM0IoRI0aQUiIimDx5MgsWLGDIkCEA3H///dTX11NVVcWYMWMoKyujvLyctWvX0tbW1tHzLGlgKCkpYdGiRaxevZr58+dTX1/PFVdcwciRI1m/fj3FxcW0tLQwefJkmpqaqKiooLW1lfLychoaGnj44Ydpbm5m4cKFFBUV8fbbbzN69GgWLlzY8RoPPPAAP1n3FEUHD3BaWQlvH9zPOcNLaWtro6TECDZY2FK9KCJWACs6r0spDSczLpmIWJNSGk8mHJd32q0c6LH7qbW1lcbGxt4tWMekubnZNhlAers9Tj75ZG699VYuu+wyTjjhBBoaGmhsbGTMmDEMHz6c++67j9mzZzNq1CgA3nzzTV599VUuuOAC1q1bxxNPPMFFF10EwKZNm3qtrsHEz8jAYnt0b+LEiaxdu5b3vve9bNmyhWHDhjF06FDuvfdeTj75ZMrLy6msrGT//v3MnTuXUaNGceutt/LGG28wbtw4duzYwYYNGzqGXTQ2NvL666/z7LPP8thjj9FysJUSYNqIUuaMLKOsuIjGxkYPoAcRw3Lf+yqwHfhWSulsYCuwETg9pTQK2A3MBW7u6UmKi4upra3t61r1J2hsbLRNBpDebo/a2loWLFhAaWkpzz//PFu3bmXSpEksWrSImpoatmzZ0jFxQfv+kyZNYtWqVVRXV3PllVcyZswYVq1aVbD/n/gZGVhsj+7V1tYyceJE7rnnHq655hpefvllRowYQVVVFUOGDGH69Ons2bOH008/nUceeYTdu3czbtw4SkpKKC0t5emnn+bUU0/lhhtuYP369ezYsYONGzdyyimnUFVVxTkTTuaMTU/zyK59LCovow0488wzAaivr+/fN68jYljuezcB/5lSuoRMD/OVEXEgpXQd8CCZ2/fdERHb+rNISYcqLS0lImhpaWHSpElccMEFjBkzBoApU6Z07Nc+zOL888+nrKyMCRMmdOwnaWBra2sjpcS1117Lr371K+666y5aW1uZOnUq8+bN4/HHH2fx4sWMGjWKnTt3UllZyebNm1m1ahXbt29n/PjxTJ8+nX379lFfX8/+/fupqqpiyZIllJWVcd8d32f3zmYuqShjZMkQ2oq9a+9gY1juY9mL+C7pZv29wL35r0hSTzqPL37ooYf45S9/yaxZs0gpMXbs2G4fU1RU1PG4GTNm5LNcSceo/fO+efNmmpubGTFiBE1NTcyaNYs5c+Zw7rnnUlpayssvv9wRjrdu3cr48eOZO3cuS5YsYe/evR33Xd65cycf+MAH2L59O9u3b2fGlInMam6iuiRzfUNbkWF5sDEsS1In7T+czz33HDU1NVRVVdHQ0MDkyZOP6HGSBo/2g9zVq1dzyy23UF1dzeTJk5kyZQrz588HMmeYAEaMGMEJJ5zASy+9xGmnncaFF154yARDZ511FnV1daxYsYKTTjqJyy67jJffeo3qzc/88TWL/a4YbAzLktTF6tWrufPOO7nmmmuYMWMGu3fv5uyzz+7vsiT1sieffJKKigr27t1LXV0dL7zwArt27eKSSzInhFtbWykuLuaJJ55g5cqVvPbaa5x11lkMHTr0HfdQh0zwBg4ZjrWt9eA7X9Se5UHHsCxJWevWraOiooLx48cze/ZsNm3axIIFC6ipqQHwFnDScaa5ubljls6UEuPGjWP27NkdB8fFxcU8//zz/PSnP6W6upry8nJaWlo455xzOnqc27UPxwLeMRyr6OA7w3Kb3yGDjmFZkrKam5t59NFHueqqqxg6dCh79+7tCMrgUAvpeHLnnXeyZ88ezjjjDNasWQPA8uXLqamp6Qi9mzdv5qmnnmLjxo1ce+21FBcXs3v3bhYvXtztc3b3HdE1LOMFfoOOYVmSoGM2vgkTJnDbbbexePFiZs6cCdijLB1v2u+NvHXrVubOncu73vUuampqGD16dMfn/fbbb2fDhg3U1dUxa9YsmpqajupMU1GrPcuDnWFZUsHbsWMH69ato6WlhYqKCubMmWNQlo5jv/nNb5gxYwbNzc1s2LCBT3ziE8ycObOjR/m5555j+PDhNDU1sWXLlo5xzUdzpumQnmXHLA86tpikgldZWckVV1xBeXk5KSUuvvhiwKAsHY/aD45feeUVamtrWbp06TuC8po1a7jxxhvZvXs306ZN4/e//z3z589n2bJlwB8v5DtSB0ZWvGP5DzXjeueNKG/sWZYkYOTIkSxdurRjRj6DsnR8aj84XrlyJVOnTmXOnDm0tbWxbt06KisrqaiooLy8nIaGBqZNm9Zxpqk9JP+p3wtvTaujfOuLVLy4icZPfo7WsjLO6Is3pj5jz7IkZRmUpcLQfnA8Z86cjnX79u3jnnvu4dRTT2X27NkUFxdz7rnndpxpgqO8yLeoiP2VVQAcHDGStpKhh3mABhp7liWpC4OydPzrfHBcX19/yAW+l156KSeeeOJR9yh3tv3s8yg6cKBX6lb+GZYlSVLB2rlzZ48X+MKxH0AfqKjklfmXHHOt6h8Ow5AkSQXrcBf4eqZJ9ixLkqSC5gW+6ok9y5IkqeAZlJWLYVmSJCnLoKyuDMuSJElSDoZlSZIkKQfDsiRJkpSDYVmSJEnKwbAsSZIk5WBYliRJknIwLEuSJEk5GJYlSZKkHJzuuo+llL4ELMwungiMjYixKaXrgGVAU3bb1RER/VGjJEmSumdY7mMRcRNwE0BK6T7gi9lN04GPRUR9f9UmSZKknjkMI09SSkuBtyLiweyqOuD6lNKalNL1/ViaJEmScrBnuRellJYBy7us/nhErAeuBz7Saf2PgNuBncDdKaX3R8R9uZ67tbWVxsbG3i5Zx6C5udk2GUAGcnsM1Lr62kBuk0Jke+THkfwb2w6Di2G5F0XECmBF1/UppTOBtyPihexyEfCdiNiRXf45cA6QMywXFxdTW1vbJ3Xr6DQ2NtomA8hAbY9t27YNyLryYaC2SaGyPfped5/3bdu2HbJf+z719Y7EHAwMy/lxEfBAp+UK4LmUUi2wB5gP3NEfhUmSJCk3xyznRwJeal/I9ih/GXgEWA08HxH391NtkiRJysGe5TyIiM92s+6HwA/7oRxJkiQdIXuWJUmSpBwMy5IkSVIOhmVJkiQpB8OyJEmSlINhWZIkScrBsCxJkiTlYFiWJEmScjAsS5IkSTkYliVJkqQcDMuSJElSDoZlSZIkKQfDsiRJkpSDYVmSJEnKwbAsSZIk5WBYliRJknIwLEuSJEk5GJYlSZKkHAzLkiRJUg6GZUmSJCkHw7IkSZKUg2FZkiRJysGwLEmSJOVQ0t8FHG9SSh8C/ioiLs8uzwJuBVqA/4mIG1JKxcC/AGcD+4BPRsQL/VWzJEmSumfPci9KKd0KfIN3/rt+F7gcOB84L6U0HfggMCwiZgNfAr6d71olSZJ0eIbl3rUW+Ez7QkqpAiiLiBcjog14EFhAJjj/AiAifg2c2w+1SpIk6TAchnEUUkrLgOVdVn88In6cUprXaV0FsLPT8i5gSnb9jk7rD6aUSiKipS/qlSRJ0tExLB+FiFgBrDiCXXcC5Z2Wy4G3geFd1hcfLii3tra+UV9f/9s/tVb1rfr6+v4uQZ0MxPaoqqoakHXlSyG/94HI9uhb3X3eq6qqDtmv0z4T+74qHSvDch+KiJ0ppf0ppdOAl4C/AG4ATgGWACuzFwBuONxz1dXVje7TYiVJknQIw3Lf+zTwX8AQMnfDWJdSWg/8eUppLVAEfLw/C5QkSVL3itra2vq7BkmSJGlA8m4YkiRJUg6GZUmSJCkHw7IkSZKUgxf4DTCHmwo7pXQVcDWZ6bO/FhH39UuhBeII2mM58OHs4v0RcUP+qywsRzJdfHafnwM/i4jv5r/KwnEEn5FFwFezi08Dn81O0qQ+cgRt8nngI0Ar8PWIuLtfCi0wKaXzgG9GxLwu65cAXyHzu35HRPx7P5SnHtizPPDknAo7pTQW+DvgvWRuQ/eNlFJZv1RZOHpqjynAR4E5wGzg4pTSe/qlysJyJNPFfw0YldeqCldPn5Fy4J+A90fELOD/gOr+KLLA9NQmJ5L5HZkNXAx8p18qLDAppS8A3weGdVk/FPhnMm1xIfCp7G+9BhDD8sDT01TYM4HHI2JfROwAXgAMZ32rp/b4HbAwIg5GRCswFGjOf4kFp8fp4lNKl5LpMXsg/6UVpJ7aYw6Z+8h/O6W0GngtIpryX2LB6alN9gC/BUZk/7TmvbrC9CKwtJv1tcALEfFWROwH1gAX5LUyHZZheeDpdirsHNt2AZX5KqxA5WyPiDgQEW+klIpSSjcDz0TE5n6psrDkbJOU0ruBy8mc0lR+9PSdVQ28D/gisAj4+5TSGXmurxD11CaQOdDfSGZYzG35LKxQRcRdwIFuNvm7PggYlgeerlNkd54KO9f02eo7PbUHKaVhZCadKQeuyXNthaqnNvkYMB54GLgSuC6ltDC/5RWcntpjO7A+Il6NiN3AY8Cf5bvAAtRTmywCxgGTgQnAB1NKM/Ncn/7I3/VBwLA88DwOLAboZirsJ4ELUkrDUkqVZE7fPJf/EgtKzvZIKRUBPwP+NyKujoiD/VNiwcnZJhHxhYg4L3sBzQ+AWyLiF/1RZAHp6TurHnh3Sqk627M5i0yPpvpWT23yFvAHYF9ENJMJZifmvUK1awROTymNSimVAnOBJ/q5JnXh3TAGnrvpMhV2Suk6MmOa7kkp3QasJnOg8w/ZLzv1nZztQWYK8wuBsuwV/wDXR4RfdH2rx89I/5ZWkA73nXU98GB235UR4QF+3ztcm1wE/Dql1EpmjOxD/VhrQUopXQ6MjIjvZdvmQTK/63dExLb+rU5dOd21JEmSlIPDMCRJkqQcDMuSJElSDoZlSZIkKQfDsiRJkpSDYVmSJEnKwVvHSVIvSCl9G6gDxgLDgZeAJuAfgb+MiBt76XVOAr4eEVfn2H4j8KOI8H7GktQLDMuS1Asi4nMAKaUrgakR8aVOm5/txZf6GnB7D9tvITOr5CW9+JqSVLAMy5LUh1JK84BPR8SHU0ovAGuB08lMyV0JzAQiIv46pXQq8D1gGNAMfCoiftfpuSqAGRHxmezyD4DTsvvfHBE/joi3U0rNKaX3RERD3t6oJB2nDMuSlD+TgPnAK8CbwHnA3wIvpZROBG4GbouIB1JKC4CbgI92evwsIABSSuXA+4BzgTbg4k77NQDzsn9Lko6BF/hJUv5sj4itEXEA2BMRGyOiDdhBpnd4GvDllNKjwFeAmi6PrwZeA4iIXcDfkOmJ/jFQ1mm/V4CT+vKNSFKhMCxLUv60HWb7JuCLETEPuBr47y7bXwdOBEgpjQPqIuJDZMYnfyul1H62sCq7ryTpGDkMQ5IGjs8D/5pSGgacAFzbZfuvgW9m//tVYGxK6RlgN5kxyy3ZbecBX85DvZJ03CtqaztcR4ckaaBIKX0X+LeIeCbH9lHAf0TEkvxWJknHJ4dhSNLg8hXgmh62L8deZUnqNfYsS5IkSTnYsyxJkiTlYFiWJEmScjAsS5IkSTkYliVJkqQcDMuSJElSDoZlSZIkKYf/B/qYrZshYFKHAAAAAElFTkSuQmCC\n",
"text/plain": "<Figure size 648x324 with 1 Axes>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "fb.dplot(ds, fb.hist_fret, pdf=False)\nplt.axvline(0.75);",
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": "<Figure size 648x324 with 1 Axes>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "> **NOTE:** Unless you simulated a diffusion of 30s or more the previous histogram will be very poor."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "fb.bext.burst_data(ds)",
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 9,
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>size_raw</th>\n <th>t_start</th>\n <th>t_stop</th>\n <th>width_ms</th>\n <th>E</th>\n <th>nd</th>\n <th>na</th>\n <th>nt</th>\n <th>spot</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>33</td>\n <td>0.976384</td>\n <td>0.977876</td>\n <td>1.4910</td>\n <td>0.604480</td>\n <td>11.712678</td>\n <td>17.900712</td>\n <td>29.613390</td>\n <td>0</td>\n </tr>\n <tr>\n <th>1</th>\n <td>235</td>\n <td>0.989002</td>\n <td>0.992756</td>\n <td>3.7545</td>\n <td>0.791408</td>\n <td>47.240275</td>\n <td>179.231872</td>\n <td>226.472147</td>\n <td>0</td>\n </tr>\n <tr>\n <th>2</th>\n <td>118</td>\n <td>0.993303</td>\n <td>0.995172</td>\n <td>1.8695</td>\n <td>0.779066</td>\n <td>25.132027</td>\n <td>88.621650</td>\n <td>113.753677</td>\n <td>0</td>\n </tr>\n <tr>\n <th>3</th>\n <td>57</td>\n <td>0.995016</td>\n <td>0.996409</td>\n <td>1.3935</td>\n <td>0.798230</td>\n <td>10.862251</td>\n <td>42.972597</td>\n <td>53.834848</td>\n <td>0</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " size_raw t_start t_stop width_ms E nd na \\\n0 33 0.976384 0.977876 1.4910 0.604480 11.712678 17.900712 \n1 235 0.989002 0.992756 3.7545 0.791408 47.240275 179.231872 \n2 118 0.993303 0.995172 1.8695 0.779066 25.132027 88.621650 \n3 57 0.995016 0.996409 1.3935 0.798230 10.862251 42.972597 \n\n nt spot \n0 29.613390 0 \n1 226.472147 0 \n2 113.753677 0 \n3 53.834848 0 "
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Particle positons"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "The smFRET file name:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "d.fname",
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 10,
"data": {
"text/plain": "'smFRET_e30f27_P_3_s0_1_s3_D_1.2e-11_6.0e-12_E_75_35_EmTot_200k_180k_BgD1500_BgA800_t_max_1s.hdf5'"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Read the positions array:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import tables\nwith tables.open_file(d.fname, 'r') as h5file:\n positions = h5file.root.photon_data.user.positions.read()",
"execution_count": 11,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "We also get the timestamps and particles arrays:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "timestamps = d.ph_times_m[0]\nparticles = d.particles[0]",
"execution_count": 12,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "These are all the particles ID in the file, the last ID is not a real particle\nbut is associated with timestamps from background:\n"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "np.unique(particles)",
"execution_count": 13,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 13,
"data": {
"text/plain": "array([0, 1, 2, 3, 4], dtype=uint8)"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Positions must have the same number of rows as number of timestamps or particles.\nLet's test it:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "assert positions.shape[0] == timestamps.size == particles.size",
"execution_count": 14,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "positions.shape",
"execution_count": 15,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 15,
"data": {
"text/plain": "(2779, 3)"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Print first 5 positions:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "positions[:5]",
"execution_count": 16,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 16,
"data": {
"text/plain": "array([[nan, nan, nan],\n [nan, nan, nan],\n [nan, nan, nan],\n [nan, nan, nan],\n [nan, nan, nan]], dtype=float32)"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "> **NOTE**: positions are NaN when the timestamp is from background.\n\nCheck that we have NaNs if and only if the timestamp is from background:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "bg_timestamp = particles == np.unique(particles)[-1]\n\nassert np.all(bg_timestamp == np.isnan(positions[:, 0]))",
"execution_count": 17,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Now we take the burst data including index of burst start and stop \n(`i_start` and `i_stop` columns):"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "bursts = fb.bext.burst_data(ds, include_ph_index=True)\nbursts.head()",
"execution_count": 18,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 18,
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>size_raw</th>\n <th>t_start</th>\n <th>t_stop</th>\n <th>i_start</th>\n <th>i_stop</th>\n <th>width_ms</th>\n <th>E</th>\n <th>nd</th>\n <th>na</th>\n <th>nt</th>\n <th>spot</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>33</td>\n <td>0.976384</td>\n <td>0.977876</td>\n <td>2250</td>\n <td>2282</td>\n <td>1.4910</td>\n <td>0.604480</td>\n <td>11.712678</td>\n <td>17.900712</td>\n <td>29.613390</td>\n <td>0</td>\n </tr>\n <tr>\n <th>1</th>\n <td>235</td>\n <td>0.989002</td>\n <td>0.992756</td>\n <td>2362</td>\n <td>2596</td>\n <td>3.7545</td>\n <td>0.791408</td>\n <td>47.240275</td>\n <td>179.231872</td>\n <td>226.472147</td>\n <td>0</td>\n </tr>\n <tr>\n <th>2</th>\n <td>118</td>\n <td>0.993303</td>\n <td>0.995172</td>\n <td>2599</td>\n <td>2716</td>\n <td>1.8695</td>\n <td>0.779066</td>\n <td>25.132027</td>\n <td>88.621650</td>\n <td>113.753677</td>\n <td>0</td>\n </tr>\n <tr>\n <th>3</th>\n <td>57</td>\n <td>0.995016</td>\n <td>0.996409</td>\n <td>2714</td>\n <td>2770</td>\n <td>1.3935</td>\n <td>0.798230</td>\n <td>10.862251</td>\n <td>42.972597</td>\n <td>53.834848</td>\n <td>0</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " size_raw t_start t_stop i_start i_stop width_ms E \\\n0 33 0.976384 0.977876 2250 2282 1.4910 0.604480 \n1 235 0.989002 0.992756 2362 2596 3.7545 0.791408 \n2 118 0.993303 0.995172 2599 2716 1.8695 0.779066 \n3 57 0.995016 0.996409 2714 2770 1.3935 0.798230 \n\n nd na nt spot \n0 11.712678 17.900712 29.613390 0 \n1 47.240275 179.231872 226.472147 0 \n2 25.132027 88.621650 113.753677 0 \n3 10.862251 42.972597 53.834848 0 "
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "burstph = fb.bext.burst_photons(ds)\nburstph['particle'] = np.hstack(\n fb.burstlib.iter_bursts_ph(ds.particles[0], ds.mburst[0]))\nburstpos = np.vstack(\n fb.burstlib.iter_bursts_ph(positions, ds.mburst[0]))\nburstph['x_um'] = burstpos[:, 0] * 1e6\nburstph['y_um'] = burstpos[:, 1] * 1e6\nburstph['z_um'] = burstpos[:, 2] * 1e6\nburstph['r_um'] = np.linalg.norm(burstpos[:, :2], axis=1) * 1e6\nburstph.head()",
"execution_count": 19,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 19,
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th></th>\n <th>timestamp</th>\n <th>stream</th>\n <th>particle</th>\n <th>x_um</th>\n <th>y_um</th>\n <th>z_um</th>\n <th>r_um</th>\n </tr>\n <tr>\n <th>burst</th>\n <th>ph</th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th rowspan=\"5\" valign=\"top\">0</th>\n <th>0</th>\n <td>19527690</td>\n <td>DexDem</td>\n <td>4</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n </tr>\n <tr>\n <th>1</th>\n <td>19528760</td>\n <td>DexDem</td>\n <td>4</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n </tr>\n <tr>\n <th>2</th>\n <td>19531960</td>\n <td>DexAem</td>\n <td>1</td>\n <td>-0.002739</td>\n <td>-0.198995</td>\n <td>0.293761</td>\n <td>0.199014</td>\n </tr>\n <tr>\n <th>3</th>\n <td>19532890</td>\n <td>DexAem</td>\n <td>1</td>\n <td>-0.008336</td>\n <td>-0.223979</td>\n <td>0.290642</td>\n <td>0.224134</td>\n </tr>\n <tr>\n <th>4</th>\n <td>19535340</td>\n <td>DexAem</td>\n <td>4</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " timestamp stream particle x_um y_um z_um r_um\nburst ph \n0 0 19527690 DexDem 4 NaN NaN NaN NaN\n 1 19528760 DexDem 4 NaN NaN NaN NaN\n 2 19531960 DexAem 1 -0.002739 -0.198995 0.293761 0.199014\n 3 19532890 DexAem 1 -0.008336 -0.223979 0.290642 0.224134\n 4 19535340 DexAem 4 NaN NaN NaN NaN"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "We can assigning to each burst the particle with most photons:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "bursts['particle'] = np.zeros(bursts.shape[0], dtype='uint8')\nfor iburst, bph in burstph.groupby('burst'):\n par, counts = np.unique(bph.particle, return_counts=True)\n bursts.loc[iburst, 'particle'] = par[counts.argmax()] \nbursts.head()",
"execution_count": 20,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 20,
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>size_raw</th>\n <th>t_start</th>\n <th>t_stop</th>\n <th>i_start</th>\n <th>i_stop</th>\n <th>width_ms</th>\n <th>E</th>\n <th>nd</th>\n <th>na</th>\n <th>nt</th>\n <th>spot</th>\n <th>particle</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>33</td>\n <td>0.976384</td>\n <td>0.977876</td>\n <td>2250</td>\n <td>2282</td>\n <td>1.4910</td>\n <td>0.604480</td>\n <td>11.712678</td>\n <td>17.900712</td>\n <td>29.613390</td>\n <td>0</td>\n <td>1</td>\n </tr>\n <tr>\n <th>1</th>\n <td>235</td>\n <td>0.989002</td>\n <td>0.992756</td>\n <td>2362</td>\n <td>2596</td>\n <td>3.7545</td>\n <td>0.791408</td>\n <td>47.240275</td>\n <td>179.231872</td>\n <td>226.472147</td>\n <td>0</td>\n <td>1</td>\n </tr>\n <tr>\n <th>2</th>\n <td>118</td>\n <td>0.993303</td>\n <td>0.995172</td>\n <td>2599</td>\n <td>2716</td>\n <td>1.8695</td>\n <td>0.779066</td>\n <td>25.132027</td>\n <td>88.621650</td>\n <td>113.753677</td>\n <td>0</td>\n <td>1</td>\n </tr>\n <tr>\n <th>3</th>\n <td>57</td>\n <td>0.995016</td>\n <td>0.996409</td>\n <td>2714</td>\n <td>2770</td>\n <td>1.3935</td>\n <td>0.798230</td>\n <td>10.862251</td>\n <td>42.972597</td>\n <td>53.834848</td>\n <td>0</td>\n <td>1</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " size_raw t_start t_stop i_start i_stop width_ms E \\\n0 33 0.976384 0.977876 2250 2282 1.4910 0.604480 \n1 235 0.989002 0.992756 2362 2596 3.7545 0.791408 \n2 118 0.993303 0.995172 2599 2716 1.8695 0.779066 \n3 57 0.995016 0.996409 2714 2770 1.3935 0.798230 \n\n nd na nt spot particle \n0 11.712678 17.900712 29.613390 0 1 \n1 47.240275 179.231872 226.472147 0 1 \n2 25.132027 88.621650 113.753677 0 1 \n3 10.862251 42.972597 53.834848 0 1 "
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Positions and particle for each burst start (same goes for burst stop):"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "positions[bursts.i_start]",
"execution_count": 21,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 21,
"data": {
"text/plain": "array([[ nan, nan, nan],\n [ 1.0610687e-07, -2.4702834e-07, -6.9590840e-07],\n [ nan, nan, nan],\n [ nan, nan, nan]], dtype=float32)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "particles[bursts.i_start]",
"execution_count": 22,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 22,
"data": {
"text/plain": "array([4, 1, 4, 4], dtype=uint8)"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "All particle positions in **one** burst:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "burst_idx = 0\npos_burst = burstph.loc[burst_idx]\npos_burst",
"execution_count": 23,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 23,
"data": {
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>timestamp</th>\n <th>stream</th>\n <th>particle</th>\n <th>x_um</th>\n <th>y_um</th>\n <th>z_um</th>\n <th>r_um</th>\n </tr>\n <tr>\n <th>ph</th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n <th></th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>19527690</td>\n <td>DexDem</td>\n <td>4</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n </tr>\n <tr>\n <th>1</th>\n <td>19528760</td>\n <td>DexDem</td>\n <td>4</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n </tr>\n <tr>\n <th>2</th>\n <td>19531960</td>\n <td>DexAem</td>\n <td>1</td>\n <td>-0.002739</td>\n <td>-0.198995</td>\n <td>0.293761</td>\n <td>0.199014</td>\n </tr>\n <tr>\n <th>3</th>\n <td>19532890</td>\n <td>DexAem</td>\n <td>1</td>\n <td>-0.008336</td>\n <td>-0.223979</td>\n <td>0.290642</td>\n <td>0.224134</td>\n </tr>\n <tr>\n <th>4</th>\n <td>19535340</td>\n <td>DexAem</td>\n <td>4</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n </tr>\n <tr>\n <th>...</th>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n <td>...</td>\n </tr>\n <tr>\n <th>28</th>\n <td>19550720</td>\n <td>DexDem</td>\n <td>4</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n </tr>\n <tr>\n <th>29</th>\n <td>19550750</td>\n <td>DexDem</td>\n <td>4</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n </tr>\n <tr>\n <th>30</th>\n <td>19552920</td>\n <td>DexDem</td>\n <td>4</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n <td>NaN</td>\n </tr>\n <tr>\n <th>31</th>\n <td>19557450</td>\n <td>DexDem</td>\n <td>1</td>\n <td>0.087473</td>\n <td>-0.045811</td>\n <td>0.364315</td>\n <td>0.098743</td>\n </tr>\n <tr>\n <th>32</th>\n <td>19557510</td>\n <td>DexDem</td>\n <td>1</td>\n <td>0.097575</td>\n <td>-0.055570</td>\n <td>0.360935</td>\n <td>0.112289</td>\n </tr>\n </tbody>\n</table>\n<p>33 rows × 7 columns</p>\n</div>",
"text/plain": " timestamp stream particle x_um y_um z_um r_um\nph \n0 19527690 DexDem 4 NaN NaN NaN NaN\n1 19528760 DexDem 4 NaN NaN NaN NaN\n2 19531960 DexAem 1 -0.002739 -0.198995 0.293761 0.199014\n3 19532890 DexAem 1 -0.008336 -0.223979 0.290642 0.224134\n4 19535340 DexAem 4 NaN NaN NaN NaN\n.. ... ... ... ... ... ... ...\n28 19550720 DexDem 4 NaN NaN NaN NaN\n29 19550750 DexDem 4 NaN NaN NaN NaN\n30 19552920 DexDem 4 NaN NaN NaN NaN\n31 19557450 DexDem 1 0.087473 -0.045811 0.364315 0.098743\n32 19557510 DexDem 1 0.097575 -0.055570 0.360935 0.112289\n\n[33 rows x 7 columns]"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Particle positions in **all** bursts:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# Increase the resolution of the figures displayed in the notebook\n%config InlineBackend.figure_format = 'retina' # 'png' for default res",
"execution_count": 24,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## PSF array\n\nThe numerical PSF is a 2D array normalized to have peak at 1.\nThe rows are positions along the Z direction, while columns are positions\nalong any XY direction in a Cartesian grid. The first column is the PSF along the Z axis (X=0, Y=0). \n\nThe peak of the PSF is at around Z=-0.31 μm, as shown here:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "PSF = pbm.NumericPSF()\npsf = PSF.hdata\nz_peak = PSF.zi[PSF.zm] # z position of PSF peak in μm\nz_peak",
"execution_count": 25,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 25,
"data": {
"text/plain": "-0.3125"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.imshow(psf.T, extent=(-6, 6, 0, 4), origin='lower');\nplt.xlim(-2, 2); plt.ylim(0, 1);",
"execution_count": 26,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"image/png": {
"height": 118,
"width": 382
}
}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "For to make PSF that spans an arbitrary X direction (both positive and negative X)\nwe need to make a new array (`psf2`) with *double the columns minus 1* and put the \ncolumn 0 in the central column of the new array:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "psf2 = np.zeros((psf.shape[0], 2 * psf.shape[1] - 1))\ncenter = psf.shape[1] - 1\npsf2[:, center:] = psf\npsf2[:, :center] = psf[:, :0:-1]\nassert psf2[psf[:, 0].argmax(), center] == 1",
"execution_count": 27,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.imshow(psf2.T, extent=(-6, 6, -4, 4));\nplt.xlim(-2, 2); plt.ylim(-1, 1);",
"execution_count": 28,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"image/png": {
"height": 202,
"width": 388
}
}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### How to plot PSF X-Y slices\n\nIt helps to think of the PSF as a function $f(x, y, z)$. The previous plot is a \"slice\" of this function $f(0, y, z)$ or $f(x, 0, z)$.\n\nNow, since the function is rotationally symmetric along Z, \nto plot a slice along X-Y $f(x, y, z_{peak})$,\nwe multiply the X and Y components:\n\n$$f(x, y, z_{peak}) = f(x, 0, z_{peak}) \\cdot f(0, y, z_{peak})$$\n\nThis is no different from what we would with a Gaussian PSF.\n\nIn code:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "center = psf.shape[1] - 1\nindex_z_peak = psf[:, 0].argmax()\npsf_line = psf[index_z_peak, :]\nxy_size = 2 * psf_line.size - 1\n\npsf_xy = np.zeros((xy_size, xy_size))\n# this for loop covers one quadrant (i.e. positive X and Y)\nfor i in range(0, psf.shape[1]):\n psf_xy[center + i, center:] = psf_line[i] * psf_line\n# Mirror both X and Y to cover the 4 quadrands\npsf_xy[:center] = psf_xy[:center:-1]\npsf_xy[:, :center] = psf_xy[:, :center:-1]\nassert psf_xy[center, center] == 1",
"execution_count": 29,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.imshow(psf_xy, extent=(-4, 4, -4, 4));\nplt.xlim(-1, 1); plt.ylim(-1, 1);",
"execution_count": 30,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"image/png": {
"height": 252,
"width": 271
}
}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Particle positions plots\n\nCustomize PSF:\n\n- `levels`: display iso-level lines for the PSF (0.5 is FWHM)\n- `cmap` is the colormap (see [Matplotlib colormaps](https://matplotlib.org/tutorials/colors/colormaps.html))\n\nCustomize particle positions:\n\n- choose columns names to plot as X and Y in the display \n (here X is `z_um` and Y is `x_um` or `y_um`)\n- `s` is the marker size (scales with area, not diameter)\n- Remove `hue=\"burst` to remove color-coding of scatter points by burst\n"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "kwargs = dict(levels=[0.1, 0.5, 0.9], cmap='cividis', zorder=1)\n\nfig, ax = plt.subplots(figsize=(8, 2))\nim = ax.contour(psf2.T, extent=(-6, 6, -4, 4), **kwargs)\nsns.scatterplot(x=\"z_um\", y=\"y_um\", hue=\"burst\", data=burstph.reset_index(),\n zorder=10, ax=ax, marker='o', linewidth=0,\n palette='Spectral', alpha=0.3, s=20)\nax.axvline(PSF.zi[PSF.zm], color='k', ls='--')\nax.set(ylabel='Y (μm)', xlabel='Z (μm)', ylim=(-1, 1), xlim=(-2, 2),\n title='Position of photon emission by burst');",
"execution_count": 31,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": "<Figure size 576x144 with 1 Axes>"
},
"metadata": {
"image/png": {
"height": 168,
"width": 508
}
}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "kwargs = dict(levels=[0.1, 0.5, 0.9], cmap='cividis', zorder=1)\n\nfig, ax = plt.subplots(figsize=(8, 2))\nim = ax.contour(psf2.T, extent=(-6, 6, -4, 4), **kwargs)\nsns.scatterplot(x=\"z_um\", y=\"x_um\", hue=\"burst\", data=burstph.reset_index(),\n zorder=10, ax=ax, marker='o', linewidth=0,\n palette='Spectral', alpha=0.3, s=20)\nax.axvline(PSF.zi[PSF.zm], color='k', ls='--')\nax.set(ylabel='X (μm)', xlabel='Z (μm)', ylim=(-1, 1), xlim=(-2, 2),\n title='Position of photon emission by burst');",
"execution_count": 32,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": "<Figure size 576x144 with 1 Axes>"
},
"metadata": {
"image/png": {
"height": 168,
"width": 508
}
}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "kwargs = dict(levels=[0.1, 0.5, 0.9], cmap='cividis', zorder=1)\n\nfig, ax = plt.subplots(figsize=(4, 4))\nim = ax.contour(psf_xy, extent=(-4, 4, -4, 4), **kwargs)\nsns.scatterplot(x=\"x_um\", y=\"y_um\", data=burstph.reset_index(),\n zorder=10, ax=ax, marker='o', linewidth=0,\n palette='Spectral', alpha=0.3, s=20)\nlim = 0.4\nax.set(xlabel='X (μm)', ylabel='Y (μm)', ylim=(-lim, lim), xlim=(-lim, lim),\n title='Position of photon emission (XY projection)');",
"execution_count": 33,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": "<Figure size 288x288 with 1 Axes>"
},
"metadata": {
"image/png": {
"height": 276,
"width": 284
}
}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "> **NOTE**: if you have a lot more photons, it will makes sense to replace the scatterplot with a 2-D histogram or hexbin plot."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"gist": {
"id": "aaae9ef8bfaa53d7d7ba09d2245f0063",
"data": {
"description": "PSF and particle positions at photon emission times.ipynb",
"public": true
}
},
"language_info": {
"nbconvert_exporter": "python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"version": "3.6.7",
"file_extension": ".py",
"name": "python",
"mimetype": "text/x-python",
"pygments_lexer": "ipython3"
},
"_draft": {
"nbviewer_url": "https://gist.github.com/aaae9ef8bfaa53d7d7ba09d2245f0063"
},
"anaconda-cloud": {},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"base_numbering": 1,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {
"top": "111.133px",
"right": "959px",
"height": "591.867px",
"left": "0px",
"width": "212px"
},
"toc_section_display": "block",
"toc_window_display": false
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment