{ "cells": [ { "cell_type": "markdown", "id": "1c264b79", "metadata": {}, "source": [ "#### $\\chi^2$ test\n", "\n", "When an analyst attempts to fit a statistical model to observed data, he or she may wonder how well the model actually reflects the data. How \"close\" are the observed values to those which would be expected under the fitted model? One statistical test that addresses this issue is the $\\chi^2$ goodness of fit test. \n", "\n", "To use the $\\chi^2$ method, we define \n", "\n", "$$ \\chi^2 = \\Sigma {(observed - expected)^2 \\over expected} $$" ] }, { "cell_type": "markdown", "id": "c01451f6", "metadata": {}, "source": [ "Example: A new casino game involves rolling 3 dice. The winnings are directly proportional to the total number of sixes rolled. Suppose a gambler plays the game 100 times, with the following observed counts:\n", "\n", "```\n", "Number of Sixes Number of Rolls \n", " 0 47\n", " 1 35\n", " 2 15\n", " 3 3\n", "```\n", "\n", "The casino becomes suspicious of the gambler and wishes to determine whether the dice are fair. What do they conclude?\n", "If a die is fair, we would expect the probability of rolling a 6 on any given toss to be 1/6. Assuming the 3 dice are independent (the roll of one die should not affect the roll of the others), we might assume that the number of sixes in three rolls is distributed Binomial(3,1/6). To determine whether the gambler's dice are fair, we may compare his results with the results expected under this distribution. The expected values for 0, 1, 2, and 3 sixes under the Binomial(3,1/6) distribution are the following:\n", "\n", "```\n", "Null Hypothesis:\n", "p1 = P(roll 0 sixes) = P(X=0) = 0.580\n", "p2 = P(roll 1 sixes) = P(X=1) = 0.345\n", "p3 = P(roll 2 sixes) = P(X=2) = 0.070\n", "p4 = P(roll 3 sixes) = P(X=3) = 0.005\n", "```\n", "\n", "Since the gambler plays 100 times, the expected counts are the following:\n", "\n", "```\n", "Number of Sixes Expected Counts Observed Counts \n", " 0 58 47\n", " 1 34.5 35\n", " 2 7 15\n", " 3 0.5 3\n", "```" ] }, { "cell_type": "code", "execution_count": 2, "id": "26196583", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.optimize import curve_fit\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "id": "df8b8f08", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.5787037037037036\n", "0.34722222222222243\n", "0.06944444444444448\n", "0.0046296296296296285\n" ] } ], "source": [ "# Note: the exact binomial numbers are\n", "\n", "from scipy import stats\n", "\n", "b=stats.binom(3,1/6)\n", "print(b.pmf(0))\n", "print(b.pmf(1))\n", "print(b.pmf(2))\n", "print(b.pmf(3))\n", "\n", "# thank you scipy.stats" ] }, { "cell_type": "code", "execution_count": 4, "id": "25708ff2", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#e=np.array([58.,34.5,7.,0.5])\n", "e=100.*np.array([b.pmf(0),b.pmf(1),b.pmf(2),b.pmf(3)])\n", "o=np.array([47.,35.,15.,3.])\n", "plt.scatter(e,o)\n", "plt.plot(e,o)\n", "plt.plot([0,65],[0,65],color='r')\n", "plt.xlabel('expected rolls')\n", "plt.ylabel('observed rolls')\n", "plt.xlim(0,65)\n", "plt.ylim(0,65);" ] }, { "cell_type": "markdown", "id": "8c023315", "metadata": {}, "source": [ "From these graphs, it is difficult to distinguish differences between the observed and expected counts. A visual representation of the differences is the $\\chi$-gram, which plots the observed - expected counts divided by the square root of the expected counts, as shown below:" ] }, { "cell_type": "code", "execution_count": 5, "id": "bcf1311f", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m=(o-e)/e**0.5\n", "sixes=np.array([0,1,2,3])\n", "plt.bar(sixes,m)\n", "plt.xlabel('sixes')\n", "plt.ylabel('${(observed-expected)}/{\\sqrt{expected}}$');" ] }, { "cell_type": "markdown", "id": "b0ae2303", "metadata": {}, "source": [ "The chi-square statistic is the sum of the squares of the plotted values,\n", "\n", "```(47-58)²/58 + (35-34.5)²/34.5 + (15-7)²/7 + (3-0.5)²/0.5 = 1.72 + 0.007 + 9.14 + 12.5 = 23.367```\n", "\n", "A random variable is said to have a $\\chi^2$ distribution with m degrees of freedom if it is the sum of the squares of m independent standard normal random variables (the square of a single standard normal random variable has a $\\chi^2$ distribution with one degree of freedom). This distribution is denoted $\\chi^2$(m), with associated probability values available in the table shown below.\n", "\n", "The standardized counts $(observed - expected)^2/\\sqrt(expected)$ for k possibilities are approximately normal, but they are not independent because one of the counts is entirely determined by the sum of the others (since the total of the observed and expected counts must sum to n). This results in a loss of one degree of freedom, so it turns out the the distribution of the $\\chi^2$ test statistic based on k counts is approximately the $\\chi^2$ distribution with m = k-1 degrees of freedom, denoted $\\chi^2$(k-1).\n", "\n", "In the gambling example above, the $\\chi^2$ test statistic was calculated to be 23.367. Since k = 4 in this case (the possibilities are 0, 1, 2, or 3 sixes), the test statistic is associated with the $\\chi^2$ distribution with 3 degrees of freedom. If we are interested in a significance level of 0.05 we may reject the null hypothesis (that the dice are fair) if > 7.815, the value corresponding to the 0.05 significance level for the (3) distribution. Since 23.367 is clearly greater than 7.815, we may reject the null hypothesis that the dice are fair at the 0.05 significance level." ] }, { "attachments": { "image.png": { "image/png": "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" } }, "cell_type": "markdown", "id": "3ac8539a", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 6, "id": "86c8c494", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.05\n", "0.000034\n" ] } ], "source": [ "# scipy calculates that table\n", "\n", "print('%.2f' % stats.chi2.sf(7.815, 3))\n", "print('%.6f' % stats.chi2.sf(23.367, 3))" ] }, { "cell_type": "markdown", "id": "f6f97392", "metadata": {}, "source": [ "How does $\\chi^2$ fitting work? consider a simple radioactive decay with noise." ] }, { "cell_type": "code", "execution_count": 7, "id": "3114c367", "metadata": {}, "outputs": [], "source": [ "# define a function/model\n", "\n", "def f(t,N0,tau):\n", " \"\"\"The model function\"\"\"\n", " return N0*np.exp(-t/tau)" ] }, { "cell_type": "code", "execution_count": 8, "id": "c288b989", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Model parameters\n", "T = 500\n", "dt = 10\n", "N0 = 1000\n", "tau = 100\n", "stdev = 20\n", "\n", "# Create the artificial dataset\n", "nobs = int(T/dt + 1.5)\n", "t = dt*np.arange(nobs)\n", "N = f(t,N0,tau)\n", "Nfluct = stdev*np.random.normal(size=nobs)\n", "N = N + Nfluct\n", "sig = np.zeros(nobs) + stdev\n", "plt.errorbar(t, N, yerr=sig, fmt = 'o', label='data')\n", "plt.xlabel('t')\n", "plt.ylabel('N');" ] }, { "cell_type": "code", "execution_count": 9, "id": "dc56c963", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "popt [1002.16975339 100.1634485 ]\n", "pcov [[131.88614128 -13.16571032]\n", " [-13.16571032 2.91408646]]\n", "chisq = 48.7026315528587 df = 49\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Fit the curve\n", "start = (1100, 90)\n", "popt, pcov = curve_fit(f, t, N, sigma = sig, p0 = start, absolute_sigma=True)\n", "print('popt',popt)\n", "print('pcov',pcov)\n", "\n", "# Compute chi square\n", "Nexp = f(t, *popt)\n", "r = N - Nexp\n", "chisq = np.sum((r/stdev)**2)\n", "df = nobs - 2\n", "print('chisq =',chisq,' df =',df)\n", "\n", "# Plot the data with error bars along with the fit result\n", "plt.errorbar(t, N, yerr=sig, fmt = 'o', label='data')\n", "plt.plot(t, Nexp, label='fit')\n", "plt.legend()\n", "plt.xlabel('t')\n", "plt.ylabel('N');" ] }, { "cell_type": "markdown", "id": "91c92f14", "metadata": {}, "source": [ "Not bad, for a smooth function\n", "\n", "Now try a complicated example of curve fitting. First, let's make some fake data, like a common pulse event." ] }, { "cell_type": "code", "execution_count": 10, "id": "ce646661", "metadata": {}, "outputs": [], "source": [ "def gauss(x, amplitude=1, mu=0, sig=1): # notice how python handles default parameters\n", " return amplitude * np.exp(-np.power(x - mu, 2.) / (2 * np.power(sig, 2.)))" ] }, { "cell_type": "code", "execution_count": 11, "id": "ad4eaa39", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# make the x, i.e. time, axis\n", "noise_width = 10 \n", "n_points = 64 \n", "time_axis = np.linspace(0,16,n_points,endpoint=False) \n", "fine_time_axis = np.linspace(time_axis[0], time_axis[-1], 10 * n_points, endpoint=False)\n", "\n", "# pulse parameters\n", "amplitude = 120 \n", "mean = 6.5 \n", "width = 0.7 \n", "\n", "# add some noise in a normal distribution way, add a background\n", "noise = np.random.normal(0, noise_width, len(time_axis)) \n", "pedestal = -30 \n", "source = -1 * gauss(time_axis, amplitude, mean, width) \n", "contaminated_pulse = source + noise + pedestal \n", "errors = np.ones(len(contaminated_pulse)) * 10 \n", "for i in contaminated_pulse: \n", " if i > 0: i = -1 \n", "\n", "# time_axis and contaminated_pulse are our data\n", "plt.figure(figsize=[8,6]) \n", "plt.errorbar(time_axis, contaminated_pulse, errors,fmt='o',label='data') \n", "plt.plot(time_axis,-1.*gauss(time_axis, amplitude, mean, width)+pedestal,label='actual')\n", "plt.xlabel(\"t (ns)\") \n", "plt.legend()\n", "plt.ylabel(\"V (mV)\");" ] }, { "cell_type": "code", "execution_count": 12, "id": "7229ee75", "metadata": {}, "outputs": [], "source": [ "# re-write that function to look more obvious to a science type\n", "\n", "def gauss(x, *args): # note that *args way of doing arguments\n", " A, mu, sigma = args\n", " return A*np.exp(-(x-mu)**2/(2.*sigma**2))" ] }, { "cell_type": "code", "execution_count": 13, "id": "a2f896fb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "norm : -68.56 +- 6.54\n", "mean : 6.84 +- 0.43\n", "width : 3.88 +- 0.47\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAG4CAYAAABILZ2zAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAAxOAAAMTgF/d4wjAABqT0lEQVR4nO3deXxMV/8H8M9MlolIQiKCiBKhkdiKLkrtlNpKSxf10IW2aNFaW7VUaJ9fa+ljKY+qVqk+nlbVEl2kqKeWUhSVEISIPQkS2WYyy++PK0OSyWSWe+femfm8X6+8WnNn5p47M/fc7z3ne85RmUwmE4iIiIg8iFruAhARERGJjQEOEREReRwGOERERORxGOAQERGRx2GAQ0RERB7HV+4CyM1oNOLy5csIDg6GSqWSuzhERERkA5PJhNu3byMyMhJqdfn2Gq8PcC5fvox69erJXQwiIiJyQEZGBqKioso97vUBTnBwMADhAwoJCZG5NERERGSL3Nxc1KtXz3wdL8ujA5wPP/wQaWlpKCgowCuvvIKuXbuWe05Jt1RISAgDHCIiIjdTUXqJxwY4S5YswenTp7Fq1SoUFRXhgQceQGJiImJiYuQuGhEREUnMI0dR6XQ6zJo1C8OHDwcABAQEoGfPnpg7d67MJSMiIiJX8MgAZ8+ePcjOzkazZs3Mj7Vs2RJbt26VsVRERETkKh4Z4CQnJ0OtViM0NNT8WGhoKDIzM3Hz5k2Lr4mLi0NUVBSioqKwYMECVxWViIiIJOCROTg5OTmoXr16qXHxGo0GAFBQUFAq8CmRkpLCJGMiIiIP4ZEtOGFhYdBqtaUeKywsBACLwQ05Tqs3YOH2VGj1BrmLQkREZOaRAU5MTAzy8/NRVFRkfiwzMxNRUVEIDAyUsWTOU1pAodMb8a9fT0OnN8pdFCKqhNLqDyIpeWSA07lzZ4SHh+PgwYPmx5KTk9GnTx8ZSyUOBhREZI21IIb1B3kTjwxw/Pz88NZbb+H7778HAOTn52P79u2YOnWqzCUjIpKWOwUxbFFycyYTkJ8FXP4LSNkKXD0uPP5rArCyBzA/Dtj1T9mK55FJxgAwZcoUTJ06FePGjUNOTg5WrlyJBg0ayF0sIiK6oyQYG9EhGhpfH7mLQxXJvQxc/BO4eQ64cQ4Ivx94dDSQ+Dbw5yqgShhQrS7wyCigdnMg8gEgIg6oFgXUaCRbsT02wPHx8cHHH38sdzGIiIiUTZcP+FcFbp4H/vrmbiATEAIM3QCc3Qn8sRwIiwZCGwA17qwI0HU68Pgc4bX3iutn/l+t3oBPt6didJcYlwexHhvgkGsU32kGL3aD5nAiIq9lMgG3rwJVwwFdHrBjLpB1Csg6LXQzTbsKFBcCty4IrS6NegDhjYXXtnpB+CsrMKzS3crZSscAhxxiNJowd1sKklKuAQAGLtuL7nG1MK13HNRqywufESmVVm/ApzvPynKXSSS6wpuA2hfQBAOJE4HLR4CsVEB7Gxi9DwhrCPhqgGaDhO6mmrGAj6/QrTRwmdylFw0DHDejlBaTudtSsHZ/OrR3ypGeXYC1+9MBANP7xstZNCK7eVIuiLU6Qin1B4nEoAeKC4SupIOfA6k/A9dOALkXgYErgJbPCt1J97UVgpgajQC/KsJre3r+2owMcNyEklpMdHojdpy8bg5uSmj1Ruw4eQ1TejWBv6/nDNDj3T25A2t1BADF1B/3YsDlgIwDwN8bgEuHhVFLrf8B9P5YCFwadQPajwUi4u92H7UdJW95ZcQAR4EsXVCV1GJyq0CHvKJii9vytAbcKtQhIjhAkn3LEWx40t09iU8pAbC1OgKAYuoPQFk3bIpVeFNI7r18RPjz8QP+sRHIuy7k0zz0ClDngbt5Mg8MAXDv77Ga3b9HpfyWxeI5t9kepOw8FpW1mLh6vovqgf4ICvCzuC1I44vqVfwl27c7zfFB3sHab9JV87xYqyN+TbmKX1OuKab+AO4GY+nZBQDuBlxzt6W4vCyKUFwIpO8F/rcAWD9U6Hq6cQ7Y84mQN9N8sDBaCQDi+gK9PwJaPgdENAHUpQMRZ+pIKepXOVvpGOBIKe+68EN1ki0tJoDrKlN/XzW6NomApkw3lObO457UPUXkDFcF5NbqiNwiA24XWa6H7q0/XEVpN2y2EL1uvX0NSN4M5F4B9Frgo4bAf4cBlw4B9R4BDDqgbmvgtd1Av0+ANsOBWk3F2beLGI0mJGxNxsBlewEIrXQJW5NhNJpcVgZ2UUlp85vA+T1A/UeB+u2BZk8D1evZ/TYlLSaZeeUrontbTFzZlVLSr5+UfA3pNwpQv0Zgqf5+Infi7rkg1uqIkAChms/Ot15/OMrebg05u7gd5XTdatALo5R2fggcWy/MNxMRD/RdAITUAd74EwiJBFSe0z2nhLQK3mpL6bl1wEuJQMMuQmJY7mXAZILhv8Pxvy+mQZf+B2CwfKLfS4ktJmq1CtP7xmPj6HYAgI2j2mF633j2n5NbUcJdphis1RHd4mqhW1wtyeoPe1up5Ozidpm8TOD4d8DmscCi1sDP7wiP12oKPPERMOU8MHqvMLoJEGYBVnhwY60Vq+w2pbTSMcCRktoHqNNSmNL6+XXAfY8AhmIURz6M/LQ/4PfNs0LTpPY2UJQrTLhkslyxTusdh6Ft66N+mLAaev0agRjatr7NLSZSdV/53akc/eysJLkGDSmBnLkgYp8D1uoIZ+sPMSnxhs1pRTlAyhZg72Lh3ye3AHsXCfPQ9PwA6Pqe8Hh8f+D+x4Eq1WUrqqOsBbJlt9maViE1N/wluTlffxQ/+CpeL34LeeNOASN+FU6CS4eAZe2BT5pDlfgWHlUdL9Vc7myLidKScx0tj1RdCdYuNu7efUGWiXWX6ejvQ+xz0lodobQWVykDLpfcPBkNws1ozkXg857A/0ULC0zmZwrbH3xZyJ/pOReI7QUEVJOuLGU4U1+JVdcppZWOAY6cVGqg5v3C/8d0gXHyeSSEz0Pf451w1NRIaC5f+V8YkxKEXB6D3uEWE3cndVeCpYuNp3RfkGXO3mXa8vtw9ILhzEXaWh2hlPpDyoBLqpu52siG79GvgW9fBD6OEeagqRohDM8edxR44wDQY7Zd7ylmMGZrfWVpn2LXdUpppfOuq6TCzd1+HmtPmXC+KBAFqCI0l6dVxdzjIUKG/ccN4Zu6TXhycaG8hXUxOboSnN0nu+GUzdm7TGu/D2cvGEprcZWKUgIui4wG4MJ+4MoxFOuN+MDvM+DoOqBmE2DIt0I+ja+/MMLJgcEjgLjfs631laV9SlG/KqFbVIG/Ku9UYXO5EdhhaAHd+FPA0O9hqP0AfKFH0NLmwBe9gd8/Aa6fBEwmj+1KkSNhTYx9estFyl05c5dZ2e9j9tYTnOfFzZTckOjO7wc2vg7MawzjuiFISDyJgcv24uXiKeiV8w4S8vrDWPfBcvPPyMmZ+kqq+lUJ3aIMcGRgKRCptLlcqweiHoQpJBJ6+CL/5d1A80HAhX0wruyJhE1HMXDp/+CHYgz8dI9HdaXIkbCmlCQ5kpajd5nWfh+3i/SKGEHiKm5/Y3UzHfjj31Btm4x//Xoa+vybQFAE8OzXmNt0M9aeD74TqKoUG6g6U1+JUddZ+w3I2UrHAMeFrDVb29tcbgqJFBLZhqzH3OZbsfbPK0i/qUUx/JB+oxBr95zB3HW/mJ8vVS6Av68a47o1trtP1Z7y2PrZiNklpJQkOZKWo3eZ1n4fVfx9UKCz/Bv0pODYbXPUTCbh7/Y14NN2wOLWwMmtMIZGAzDBENMd6DEburqPYMepLLcIVJ2pr2x9raU6W+m/AQY4LmStn9PW5vKyAYVOb8SOU9nlT0KTD3akFaBIZ0DCFxvw1Cc/QwWj6LkAGl8fvNXjfpsnv3LkhLD1s3GmS6jsyauUJDlyDXvvMq3OO9OkFoIdvGCIwdpNh6M3JJYodbkFi5+rySSs55T0PrDkQSB9j9BK02kSMOksMHwLih96DcDdwNadWnGdqa8qe62vWlVhna3U30AJ1tIuYks/py3N5WUDCqsnoU8w3t96AmtP++N8ng9MUAs/wH3nZPsB2nJCWGqJkSphzVrApYQkOVKuin4fM/rGO3zBKOFM8GPtpsPeG5KKKGUit3tZPJc3HhI+1+9eAr7sB+RkAN1mAJGthYn1mg6scE4aV7Tiihnk2lpfWdqntddWVGfP3pqsuN9AWQxwXMSWuwFHmsutnYRV/X2w72w2tMbSX7PWAOxIvgLd2ueBI2uBwluOHZSdbK0ULbXEiJGwZilwshZwObtPt89NIKus/T4cuWCIMfrKVcRq3ZC8RenAJeHmqcdsYPJZ4OmVQPyTgH+gTWWTqhVXiu+5svrK2j4req3eaKp4EdeT13Bb4S1cDHBcxJ67AXuay62dhI/G1EC+toJF9nQG3KrTHjjwGTCvMbBhhK2H4jAxKkVnEtYcXaXd3n26y0WKbGctv8vS78ORC4Y7jb4Sq3VDlBYlkwm6S8ctf64mH+FcDooCfDVW38belg1nSNm1U1F9Zcs+y77WWp1dqDMg0N/y96aUPEUGOC4i5d1ARSfhzL5NK66EAvxRvdNo4LXfoH1tLzYXPyxU3nsXA+v/AZz4AdAVOFwmoPxFQWmJu1L1sTvaDWcrzq/jeo7md9lzwbB19JUSvn+5c9S0egO+2vQj9EmzgcWtceuLZ5FXqLX43MrOZUdaNpwZ6uxO015Yq7ODA/wcyht1JQY4EnFlHklFJ2GAv49tybkhDTD2r7rCj/z+J4CIOODX2cDHjWA8/j0AoNiByrTsRUHqStHeLiEpAi5nuuHs2Qfn13FPYoy+Usr3L0uO2s3zQPZZ6IoNaHVoKkyZp4Hu76P6hD8RVMVyC01l57IjLRvOcKdpLyqrs2f0bWp33qgrMcCRiFR5JNZYOgntroTCGwFd3oVxzJ9IiFmH/r+GAjDh6Q/XI2Hxv2G8eKjCBUFtIUWl6GiXkBQBlzuNvKC7XHWXKcboK6Vw2URuBTeAP1YAK7sDix8ETv0IqFTor5uDooGrgPj+8K8SaNO5rIRVr+VoyXZmn9bqbCVM5mcNAxwZuHLiI0d/gHN/PIm1fxci/VYxABXOGcKx9nIdzP33GmBZO0CvcyjQsaU89rbEONOfLXbApbRuOLKNK+8yHR195Ypun4q6vuzNQbLldVYZ9NCl/4GF21NRnJII/L1BWPNpYirQ7g0AgKnM5cuWc1kJq17L0b3nzD5tqbOVuuSGskpDAKS5m7TnB1jhXY3JBztC+kP3+P8Ja7Ac+hJY1Qv48wug8KbT5XGkJcaeOzBLgZMtJ68934fcuQmkfI6OvpKata4vR7vF7H5dZiqwfQawsCl8N7yEf//6N4rinwVe+VmY2DQwrMKXij0KVcobEim/54rqK1v2aa2uU2oQY437lNSLyNlnCVRyV6Mz4lath4V/xPUT5pE4/BUw735hRJYTbGmJKXsC2nIHZkvgZO3ktff74Pw5nsdaq6KjNyT2jL5SSpO/JIpygLxMYXHLr58GbmUAA5Yi//XDKIJGmK/GDmKNQpXyhkTK77mi+sqWfcp97REbAxwqV3nbfFdTNRx45DXg1Z3AqL1ATFeh22plD+DHqdBfPl7qfa2xtSWm7AloS1ldPdum1Bcpzq/jOrYEx9YuCmIGPyU84vs3GoG0XcCGkcC8WGGVbrUP8OZhYPAXQKPuLlvM0tmWDWc42r3nzEg6d2yJcZTnH6FM5KiE7D0JK6q8fdUq++9qwhsDNWKE9+06HQmnIvHUZ0cQilwM/PT3SruapMryByDbbJtiX6Q4v47rORsci3lH7BHff8EN4b8HVwpzbwVFACN/BdqPEx73sXyzUpaY9atSWzak6DL0Nr5yF8DTlKzPkZRyDYBQCXWPq2XOOAekuxsoOQltVVJ5l1z8SypvAOa7l6Tka0i/UYD6NQLNx2GVSoW5yeFYm9UYWpPwvjdvFGHt3nPAqR8xvV8zIKZbuZeVtMRk5pUPZGzJ8q+orFl52koDp4jgAOvHJCJbfh9avQGf7jyL0V1iSlWo1r6v6X3jXXYM3qKyVsUpvZq4NKdKqd9/ZfVZFRTB9/h/gBPrgSvHgImngFZDgQdfsjmgKWHL+eMob2rZEJucc91Yo6zSeABb7viU0M9ZWeWtN5oc6map8H2NwI78BtBtngAsjEdA8n9LnRBSZfkrbVSTLb8PS3dnSlz7x9Mpaci/K75/R1tFLNZnJhOg16K4WIfv/GcBfywHYp8A3jwE+FURlkqoJLixVB5nW9Q8ontPJtaCGCVc0yxhgCMiJV+EHEnOBey/q7G++Gc13Bp5ABjwKfwiYoUT4se3hVFYRTlOJ+daKquSRjU58/tQ0sXWW0gdHNtz1yvl929L15fNgUHOJWD3PBgXPYiEz/+LgcsPoJ9uLnoVzkFCdhcYA8MdLk+RzuDw+eMR3XsyU2oQYw0DHBEp+SLkSHKuIyp936oBQgJh1IPCXV6tZsDh1cC8+6HeOBLTu0eJnpwrZxLhvZz5fSitJcobSB0c25OcLOX37/TinyXzYR1aDfyrJXBhH+ZWm4G1GeFIzy6AET52tbRUVJ73t56w6fyxdC67eqDBvZSwtIa3YoAjIne6CElVedv1vioV8PBI4NVdwMidQPj9gCYYmutH8Jbvd/DPy3CoDGXJlUQo5kVKSS1R3kSuIf9lf49Sff+VtSpWuPhnYjJw6RCQOAFY3EaY+PP+XsD4Y9A99y12ZFVzqKXFWnn2nc1CVY3ltNF7z5+yn53cLevWEoKt3VhZazVzpqtNqfkyUvD8I3Qhd7sISVV5O/S+teKBTpOFoEelRrwqHVVXtAVW9wPO/OpUeUq4OolQ7IsU59dxPSXNSyPF9+/w4p9/HILuy6cAgw4Y8KmQTxNcCwiJdKql0tpr83VGPBpTw+7zx51a1gHr3WlidLW5Y1eToziKSmQOjz6SQUnlPaZzDFrPScLGUe0QFmR5wTpXvq+xTiuMLJ6Av8e1RNCp7wFdvrDhjxVA3dZA3TZ2T/6lFM78PqT6vqhyShhhI8X3b230otXFP/3Dcev1I4ioUX5mYWdGRFb22pl9myLQ39eu88fW8iilZcPaaDkAihxJp1TKalLwAEq647OVVJW3s+9rCqoFtB8LxPcX+vmzTgFrBgKftgX2LAJ0BWIW1yH29q+LsRaXEi62JB8xv/9KF/9UFVl8XVBgIKpXq273e1bWUlnZawP8feyuX20tjxJaNqx1p/2achW/plxT5CAWpWINKRFPuQgp5a4GKhXQZz4w4RTQYQKQ8Qeg9gVunANOJgKGYlnK6uiEW2KtxUXkrHu7vlQwokHVYgwNPYEZvZuga+NQaMqcTrYEKs50p9nyWnvrV3fp3rXWnZZbZMDtIr3FbXJ3tSkVu6jIKnsnD5ScfyDQ4hnhDwBungN+nApsGQdNi2fxVuthgJv2LSt1IjfybGq1CtN7NcLbuR/hZt7/UKNWDKq0GQKojJg2qD0QmGJ3l6oz3WlSdMW5S/eute60kADhcp2db3/Xn7dy7+YF8kh2tcTEdAXGHQWe/hzIuw6c3i48nvYbUHhL0nKKSe6RHt6Aw3XLyDoDJM0CTicBvv7wqf8IhhdPgX5YItDmRcDHz+kud2dasqVoBZejZd2eEU9WuwzjaqFbXC23GcSiBGzBIcWxu9VIrQYadhL+ACFf53/zgIwDwornrYYCDToqp7vNAltGerhySQlPVNKdOKJDtFeMIKnQ2R3Arn8Cl/8SZhdu0g8AUNxmBM5u+cXiSzyly92VHF1WwpaBCO4wiEUJ3PbXOnv2bKhUKvPfwYMHzdtOnz6NIUOG4I033sAbb7wBrVYrY0mVT6oLv2wBhUoFDN8izK8TVAvY/Caguw2NLgdvPeivyIubPXPkKDlQ81RK+sztLovRIAQ1O+YI/1b7Ac0HAxNOAs+sBqLaSFdYL2GpddDRyQWttZq54yAWObllC05RUREOHz6MhQsXAgCqVq2Khx56CACQn5+P3r1748cff0SjRo2wZMkSjBs3DsuXL3dpGZVUIVZGqjwb2fN3IuKAnnOBx+cIQc+JH4QVjOs/CrT6B9Ckr5DTI4Oyv4+Spul7c3AAy83Psn+uXkhJn7nNZSkuAnZ/BBz9D2AoFvLWDHoguoPw58aUVr+WbR0UY6FWa61mbFGzjVsGOF9++SXeeOMNdO/evdy25cuXIyoqCo0aNQIADBkyBDVr1sTUqVPRoEEDl5VRSRWi1yuZM6fpAOC+R4Fj64Hd84Crx4TgJ/cyEFzHobl1nF2g8F7uNIcSKVThLeDE90BkK6DOA4D2NtB3IRDTDfBxy+reIqXXr+xyVga3C/+MRiMWLFiAAQMG4Omnn8apU6dKbd+8eTOaNWtm/ndYWBjq1q2LxMREVxeVlCj4ztw6Y/4Aurwn5Ous7ifMrbN3sZCobAMphnSz+ZkclnEQ+PYlYH4scHgNUJQrBOy9Pwbu7ylbcONMS4sUrTSuavlxp2V7PJnbBTiFhYWYO3cuJk2ahIMHD6JNmzb49de7U/knJycjPLz0irWhoaFITU21+r5xcXGIiopCVFQUFixYIEnZSUFUKsAvQPjva/8DHnsbOP0L8ElzoOCG0LxvZSJBKRfvY/OzNJxZv0eRriULwQwA5FwAqtcDXv0NeHXn3YR7O1i7+DsaGDgzeZ4UE++5ajI/d1u2x1Mprs1ywoQJOHr0aIXbx48fj8GDBwMAJk2ahCeffBIvv/wy0tLS4OPjg5ycHISFlZ4+XKPRoKDA+qy3KSkpCAkJcf4AyP34BwItnxX+8jKBwDDg+HfAlnHCKKzmg4HoTua7YDH618l1HB3Noki6fOCPfwu/zxtpwizfD7wANHta+HOCtW4fpXcJKRG7nOWnuABn/vz5Nj83MDAQa9asQXR0NFJTUxEXF4ewsLByo6YKCwsRGhoqdlHJEwXVFP7b7GmgRiPg+LfAD6OBJn2AvguAvOu4ZQhm/7obcfsJFPOzgeQfgOiOQGgD4MpRoP04oElvQBMsd+moAs5OLihFi5q3UVyAY6/atWsjPj7eHNTExMQgKyur1HMyMzMRGxsrR/HIXalUQOQDwl+P2YA2V3j8m+dQvSAXQcZ3kInyQQz715XFrVvbTicBB1YIQ7zrtgZqNQPCGwtDu0lRrHV/OtrlzBY15yn0zLadwWCAv78/mjdvDgAYNGhQqTlxsrOzkZ2djZ49e8pVRHJ3ah+gyp0WwBe3wb/HdHSteg4alJ4ynf3rrmHPjMS2jGZRjOJCIGULcOAz4d+3rwD1HgLe/BN45RfgvkfkLR+Vw/XjlM3tauKkpCTMmjUL+fn50Ov1eOeddzBnzhz4+AhJYy+++CLOnDmDa9eE/va1a9fitddeQ1RUlJzFJk/hFwDEP4lpb03A0LbRqB8WCF/oEa26gqGB+zEt5Ecg+6xTu3Cm+dkbliOwZ4FTtxjNknNRGAH1UQywfcbdJUZa/wPoOEnoliJFknKwATnP7QIcAFixYgUaNGiAgQMHYvDgwejWrZt5W2hoKDZs2IDx48djwoQJyMjIME8ISCQWtVqF6QMewMbR7aCHLzZM7IfpvWOhvngASJopPOnSISDT+ug9S5wZ6eHo6uaeomyAp8jRLNo84O/vgf8OF4IbTQhQIwZ45WfgzcNAp0muLxPZjevHKZ/dOTh//PEHtm/fjuPHjyMzMxM+Pj6IjIxEmzZt8OSTT6J+/fpSlNOse/fuuHz5stXnPPjgg/jmm28kLQcRcE//etUw4IEhwp/pTvP0qZ+APf8SLl6xvYU1scKiZSyt57O03pQiRrMYjcKaaYkTgCNrhVaZ+CcBH38gIATo+p7rykKi4GR+ymfz7ctPP/2EVq1aoXfv3tiyZQuKi4sRGRmJWrVqIScnB1988QWaN2+OQYMG4fz58xIWmUjhSmZE7joNmHwW6DABuJUO5F0Tgp+f3gFOJgpDfklyskygaDIB104IM2av7A78Mk14/P4nhLlqxvwBdHkXCIqQrgwkKVu7PzniST42teC89957KCgowDfffIMmTZpU+Dy9Xo99+/Zhzpw5GDRoEHr16iVaQYnckiYYaD5I+APuTB6oAn6eJiSRNuwMPLMG8PFzaKkIsp3kEyjqtcD1FGHk3eHVQiAb0xVoPVyYTRgAGpdfXobck63rx3HEk3wqDXC++OILDB48GC1btqz8zXx90aFDB3To0AE//PADjh07hhYtWohSUCKP4B8I9PpAWAQ0KxXIOAD4+gsTt+3+GGjYRbgoNmgP+FeVu7SKpKgZiXX5wKEvhaHc6XuFFpk3DgmTQ7Z4TkhKJ4+liO5PqlClAU6XLl0cGoE0YMAAXLhwwaFCEXk8lQqoGSv8AUDjHkI+RtpOYNtEoN4jwNOfAed/FwKd2i2FHI5KKOriLzJFzEicdx1I2wWc3SlMthcWLXxHMV2FhVtrNhG+Ww9a2JIq5uxkfiStSs/CBg0aYPLkyfjoo4/sfvP77rvPoUIRuQvR+tcDqgnT7sf3F/5dXCj890wScPBz4aJZry3QaQoQ1eZu0uodirj4S8yWGYlFD/BuZQBGvRDI/HeYME9N7RZATBehNc5XAzzPAQ3ejuvHKZNNtxnz5s3DqVOn8Oabb6J7d/YhE5WQrH/dr4rw3+6zhFXPrx0XukA0wYBBDyyIAyKaAPXbA/UextwTNbH2wEX3XY6gEpUNyZ30eCw+/uWUcwGeySQEkuf3AIe/Ej7v3EtCUNl5CtD5HaDvJ8JaZUSkeDYFOO+++y7eeOMNfPfdd1i6dCnatGmDl19+GZGRkVKXj4h8fIHIVsIfIFyIh28WLsDpe6D761vsKP7YPZcjsFFlQ3Lf33oC3x++ZDXAK9faVnhTyJ25dFj4U6mBlxKF1rPq9YCW/wKiHgY0QcLzI5hXQeROVCaTqdI5pXU6Hfz97874eejQIXzxxRe4efMmBg8ejH79+plnEnY3ubm5qFatGnJycriaOLml67lF6LPof8jMK7/sQM1gDRKfqoKIrD+AiHigVjxQrZ7bjdjS6Y3o+clunMsqP7S+QY1AAMD5O7PJ3is6PBA/j30M/tePAddPCEO3M08CQ74V/rtlLBDZWljrqe6DQqsYkZ1uFxWj+axfcHzW4wiuYOg4ia+y67dNLTj3BjcA0KZNG7Rp0waFhYX49ttv0aFDB3Tq1AmvvPIKGjVqJE7JicgmJfNxWApwgjS+qO6rA64eA47+B8g+AzzwPPDkUmHk1q0LQFhD4a9GjGJHblkbkvtoTA0kJV+z+Lq8Qi1u5Rch4j9DhIUqazUFmj4FmAxAnRbAq7tcdARE5GoOp/oXFxdj48aNWLFiBfbv34/Tp09DpVLhgw8+ELN8RFSJSufjaBwPNO4iPKjXCksFAELy7LW/gZTNwI00oNNU4NHRwJbxQOENIDgSCKkjzLgb2kAIhgKqCUsLuLIFqLgQKLiBaa11QGE1JJ3T4tqNm6ijKUbXwLOYlPE+9uNdZKJ8K3KQxhfVg6sCE0+5rrzkdTiZnzLZ1EV14cIF84iojIwMLF++HJ9//jmuX7+ORx55BKNHj8YzzzwDjcb9hsexi4o8gXkUlYX5OGxOsjUahJXTT24TWnpuXwFyLwOPjQfqPAD8sz6gzQFUPkCV6sAr24GgWsB3LwnJz75VhFFFvT4EinKEye58/AGohKTph0cKC5Ge3CrkEem1wirtj7wqDL0+slYIZrS5QJ2WwrDr7TOBPZ8I5QuoDjw6BjfajMPMD2bjg85BCA6vC4REIuFYdaw9nFkuwBvatr5HJFkTUXmidFFNmzYNffr0wX/+8x8kJibC398fQ4YMwejRo9GqVSvRC01E9hFlPg71nRaQJr0tb5+aDmhvC8m5hTeBkLqAyQg0flyY8E5fJPypfIT/Zp0BDFrhtf53EnW1ucCVo8L/+wYIib2A0CoUEQ/4BQpJvTUaC4+3Hwe0e1MIbu7MLeNXVIwtxnb4oOPjwJ18h2kNTYC/5QCPiLyTTS04arUaKpUKjRs3xuuvv46XXnoJ1apVc0X5JMcWHPIk3pDsaO0Yb+Rp0XpOEg6/150TrhF5OFFacKKjo7Fs2TI8/vjjoheQiEgsnHCNiErYVAvMnz+fwQ0RERG5DZsCnAEDBtj0ZqtXr3amLERERESisHuY+L59+/D+++/j3LlzKC6+O7OowWDAlStXMHz4cFELSERERGQvuwOcp59+Gm3btsXEiRNLTQBoNBqxbt06UQtHRPbxhvk4vOEYich5dgc4AQEBWLlyJcLCyi849+ijj4pSKCJyjGSLfyqItWNk8ENEJeyuBf79739j69atFredPHnS6QIRETmqJPjR+Lrn2nhEJB6b5sG516lTpzBixAj4+ZWef8JoNOL48ePIzs4WtYBS4zw4RERE7keUeXDu1b9/f2g0GvTp0wcBAQHmx00mE3Jzc50rLREREZEI7A5w8vLy8Pvvv6NmzZrltvXuXcEU70REREQuZHcOzv/93//hyJEjlt9MzcQ+IiIikp/dLTjnzp3DunXrsH///lKPG41GJCYm4uDBg6IVjoiIiMgRdgc4hw4dwokTJ5CXlwcfn7sjFQwGA1JTU0UtHBEREZEj7A5wJk2ahPDwcMTGxpbblpiYKEqhiIiIiJxRadLMrl27Sv27ffv2FoMbAOjTp4/5/00mU7luLCIiIiJXqDTA0ev1WLNmjV1veuPGDcyYMQNNmzZ1uGBEREREjqq0i6p79+7YvHkzevTogb59+6Jjx46IjY1FYGBgqeddvXoVx48fxy+//IKzZ89i+fLlCA4OlqzgRERERBWxaVx3//798fXXX+P8+fPo2rUrgoODERISgtq1a6NGjRrQaDSoW7cuJk6ciBYtWmDDhg2IiIiQuuxEREREFtm9VINer8f+/ftx4sQJZGdno0qVKqhduzYeffRRNGjQQKJiSodLNZC30OoN+HTnWYzuEsO1mojI7Ym+VIOvry8ee+wxPPbYY6IUkIhcQ6c34l+/nsaIDtEMcIjI43HqYSIiIvI4DHCIiIjI49gU4Oj1eqnLQURkptUbsHB7KrR6g9xFISI3ZVOA8+6770pdDiIis5J8IZ3eKHdRiMhN2RTgzJs3D08++SSSkpKkLg8RSaT4TrBQzKCBiLyAzS04//73v3Hy5EkMHDgQc+bMweXLl6UuGxGJwGg0IWFrMgYu2wsAGLhsLxK2JsNotGuGCCIit2LTPDg6nQ7+/v7mfx86dAhffPEFbt68icGDB6Nfv36lVhYXS3JyMmbMmIH+/ftj2LBhpbadPn0aM2fORFhYGABg/vz50Gg05u1ffPEFdu3aBZVKhZ49e+L555+3uA/Og0OeLmFrMtbuT4f2npYbja8aQ9vWx/S+8TKWrGK3i4rRfNYvOD7rcQQH+MldHCJSoMqu3za14Nwb3ABAmzZtsGTJEqxcuRK5ubno0KED3nnnHZw5c0acUkNY+uHIkSPYtGkTjMbSTer5+fno3bs3Zs+ejSVLlqBJkyYYN26cefuWLVuwdu1arF69GqtWrcKiRYuwZ88e0cpG5C50eiN2nLxeKrgBAK3eiB0nrzHHhYg8lsPDxIuLi7Fx40asWLEC+/fvx8qVK7Fq1SrRCla7dm288MILFpd8WL58OaKiotCoUSMAwJAhQ/DZZ5/h/PnzAIQutZIWH7VajWeeeQbTp08XrWxE7uJWgQ55RcUWt+VpDbhVqHNxiYiIXMOmAOfChQvm/8/IyMC0adNQr149DB06FAaDAatXr8bFixfxwQcfiF5AP7/yzdObN29Gs2bNzP8OCwtD3bp1kZiYiHPnzuHvv/8utb1ly5bYtWsXbt++LXr5iJSseqA/giro4gnS+KJ6FX+L2+TGhGgicpZNAc60adPwn//8BwMGDEDDhg3xySefoF+/fjh06BD27duHf/zjH6XyX6SWnJyM8PDwUo+FhoYiNTUVycnJAFBqe2hoKEwmk6hdaETuwN9Xja5NIqDxLX2qa+487u+rrLk+mRBNRGKxaS2qr7/+GuvWrUPjxo3x8ccf46WXXkK1atUc3umECRNw9OjRCrePHz8effv2rXB7Tk6OObm4hEajQUFBAXJycgCg1PaS4KugoKDC94yLi4NKpQIAvP3223j77bcrPxAiNzCtdxwAICn5GtJvFKB+jUB0j6tlflxJ5m5LKZUQnZ5dgLX70wFAsQnRRKRMNgU40dHRWLZsGR5//HFRdjp//nynXh8WFgatVlvqscLCQoSGhpoDG61Wi+DgYPM2QGjJqUhKSgpHUZFHUqtVmN43HmM6x6D1nCRsHNUOYUGua3G1VWUJ0VN6NVFcixMRKZdNtcX8+fNFC27EEBMTg6ysrFKPZWZmIjY2FjExMQBQantmZib8/f3RoEEDVxaTSFH87gQHfgoNEpgQTURisqmmGzBggMTFsM+gQYNw8OBB87+zs7ORnZ2Nnj17onHjxmjRokWp7cnJyejSpQsCAwPlKC4R2cBdE6KJSJmUeSt3D4PBUG4enBdffBFnzpzBtWvXAABr167Fa6+9hqioKADAlClT8P3335tf/+2332LWrFkuLTcR2cfdEqKJSNlsysGRQ05ODtasWYMrV65g/fr1iI2NRfv27QEIuTQbNmzA+PHjERkZCZVKhYULF5pfO2TIEGRkZGDUqFHQ6XSYOnUq2rZtK9ehEJGN3CkhmoiUzaalGjwZl2ogb+FOyx/cyNOi9ZwkHH6vuyIToolIfqIs1UBE7s/fV41x3Rq7RVeP0hOiiUj5FNtFRUTi0vj64K0e98tdDCIil+DtERHJQqs3YOH2VGj1BrmLQkQeiAEOEclCpzfiX7+e5ormRCQJBjhERETkcRjgEJHiuFNCNBEpE5OMiUhxmBBNRM7i7RERSYaJxEQkFwY4RCQZJhITkVwY4BCRLIrvBD3FDH6ISAIMcIjIpYxGExK2JmPgsr0AgIHL9iJhazKMRq9eNYaIRMYAh4hcmiszd1sK1u5PR3p2AQAgPbsAa/enY+62FMn3TUTegwEOEbksV0anN2LHyevQltmPVm/EjpPXmKtDRKJhgENELnOrQIe8omKL2/K0Btwq1Lm4RETkqRjgEJFkyiYSVw/0R1CAn8XnBml8Ub2Kv8vKRkSejQEOEYmuokRiX7UKXZtEQFNmhmKNrxpdm0Rw5mIiEg1nMiYi0ZUkEpfk2pQkEgPAtN5xAICk5GtIv1GA+jUC0T2ulvlxIiIx8HaJiESdk6ayRGK90YTpfeOxcXQ7AMDGUe0wvW881GqV0/smIirBAIfIi0kxJ42ticR+d7qj/NgtRUQSYBcVkRez1pU0vW+8Q+9ZkkicmVd+RBQTiYnIVXjrROSlpJqTxv9OwjATiYlITmzBIfJStnQlRQQHOPTeTCQmIrnxVorIS4kxJ01FSzyo1SomEhORrBjgEHkpMbqSKlviwVoisb+vGuO6NWaXFRFJgl1URF5Mzq4kja8P3upxv+T7ISLvxACHyIuVdCWN6RyD1nOSsHFUO4QFaeQuFhGR09g2TESck4aIPA5rMyIiIvI4DHCISDJMJCYiubDWISKrKhoKDlS+hlVJIrHG10fSMhIRlcUAh4issjQUXIo1rIiIxMRRVERkd1eSFGtYERGJiS04RGRXV5JUa1gREYmJAQ4R2cWWNayIiOTGAIeI7CLGGlZERFJjgENEVpUdKSXGGlZERFJjkjERWWQ0mjB3WwqSUq4BEEZKlaxTJecaVkREtlCZTCavHteZm5uLatWqIScnByEhIXIXh0gxErYmlxopBQitNEPb1jePlLqRp0XrOUk4/F53rmFFRC5V2fWbbclEVI6tI6W4hhURKRVrJSIqhyOliMjdKTrASU5OxqBBg/DVV19Z3N61a1eoVCqoVCqEh4ejqKjIvC0xMREvvPACRo4ciYULF7qqyEQegSOliMjdKTbJ+OrVqzhy5Ag2bdqEvn37ltt+6NAhREVFmYOX2NhYBAQEAAAOHz6MqVOn4vDhw/Dz88OgQYNQp04dPPfccy49BiJ3VTJSylIODkdKEZE7UGyAU7t2bbzwwguYPHmyxe2ffvopFi9ejGrVqpXbNnPmTAwaNAh+fsId6AsvvICJEyfi2WefhUqlkrTcRJ6CI6WIyJ0p/jasJEi517lz57B69Wo0adIEb775JnJzc83bCgsLkZSUhGbNmpkfa9myJdLS0pCcnOySMhN5ArVahel947FxdDsAwMZR7TC9bzzU6rs3CfauYUVE5CpuWSup1WqsXr0agwYNwqpVq/DAAw/gypUrAIC0tDQUFRUhPDzc/PzQ0FAAQGpqaoXvGRcXh6ioKERFRWHBggXSHgCRG7E2UsqeNayIiFxJli6qCRMm4OjRoxVuHz9+vMW8mxL169dH/fr18cILL2D8+PHo3LkzJk6ciK+//ho5OTkAgLCwMPPzNRphfo6CgoIK3zMlJYXz4BAREXkIWQKc+fPni/ZeMTExWLx4MV577TUAdwMbrVZrfk5hYSGAuy05RERE5NncsouqrG7dupkDmvvuuw9+fn7Iysoyb8/MzAQgjLQiIiIiz+cRAU5GRoa5SyswMBBPPPEEDh48aN6enJyM2NhYxMTEyFVEIiIiciHFBzgGgwFGY+np4hctWoQvv/wSJpMJ2dnZSEhIKNXtNWnSJGzatAkly2ytWbMGc+bMcWm5iYiISD6KnQcnJycHa9aswZUrV7B+/XrExsaiffv2AIScmvfeew8JCQno2LEjPvnkE9SqVcv82sceewxvvvkmXn75ZQQEBKB3794YNGiQXIdC5NY4FJyI3BFXE+dq4kRERG6Hq4kTERGR12GAQ0RERB6HAY6EvGVGZG84Th6jZ/CGYwS84zh5jJ5BymNkDo6EOThRUVG4ePGiqO+pRN5wnDxGz+ANxwh4x3HyGD2DM8fIHBwiIiLyOoodJu4qJQ1Y965ILuZ7S/G+SuMNx8lj9AzecIyAdxwnj9EzOHOMJa+rqCPK67uoLl68iHr16sldDCIiInJARkYGoqKiyj3u9QGO0WjE5cuXERwcDJVKJXdxiIiIyAYmkwm3b99GZGQk1OryGTdeH+AQERGR52GSMREREXkcBjhERETkcRjgEBERkcdhgENEHiM1NRVffPGFw6/fvXs3fvnlFxFLRERyYYBDRG4hOTnZ6vZz585hxYoVeOmllxzeR8eOHXH+/Hls2rTJ4fcgImVggENEinfixAl89913FW43mUwYMWIEJk+e7PS+RowYgUWLFuHy5ctOvxcRyYcBDhEpWm5uLp5//nkYjcYKn7Np0yYEBQUhIiLC6f2p1WoMGjQIH330kdPvRUTyYYBDRIq2Zs0aZGVlYevWrXj99deRnZ1d7jkrVqxAx44dzf9OS0vDmDFj0KdPH+zZswdNmjRBnTp1sHfvXvNzFi9ejOnTp2PAgAHw8/Mr9X7t27fH559/Dp1OJ92BEZGkGOAQkaKNGTMG999/P/r27Yvly5ejRo0apbbr9Xrs3LkTsbGx5seCg4ORm5uLlJQUJCcn4/fff0fr1q2RkJAAALhw4QJ2796NhIQE/PDDD+jfv3+p92zUqBHy8vKwf/9+6Q+QiCTBAIeI3NqZM2dQVFSE2rVrmx+rWbMmoqOjERUVhZEjRyI8PBx9+vTB2bNnAQBZWVnYvn07du/eDQB4++23S71nYGAgqlevjuPHj7vuQIhIVAxwiMitlXRZBQYGlnpcrVaXWp8mMDDQ3OXUqlUrtGvXDp06dcKgQYMsLtQXGBiIzMxMCUtORFJigENEbq1KlSoAgOLiYptfo1KpsHXrVixduhQ7duxAmzZtkJ6eXu55Pj4+opWTiFyLAQ4RKZ5KpapwW0nXVG5urs3vd+LECVy6dAmjR4/GsWPHoNFoyg1Dz8vLQ2RkpGMFJiLZMcAhIsULDAzEmTNnkJycjAsXLpTaFhkZifvuuw8ZGRmlHi8uLi43tNxgMAAAbt++jSVLlgAAoqKi8PDDD6NRo0bm5926dQu5ublo06aNFIdDRC7gK3cBiIgqM2LECIwYMQJhYWFYtGhRue39+/cvlRB89OhRJCYm4vz589iwYQOaNm2K9evX4/Lly1i1ahXi4+Px0UcfITU1FfHx8WjWrBmefPJJ8+tPnDiB6OhoPPDAA644PCKSgMpkMpnkLgQRkTPOnj2LIUOG4I8//hDl/WbPno3q1atj7NixorwfEbkeu6iIyO3FxMSgV69eoiyUqdPpcODAAYwaNUqEkhGRXBjgEJFHmDFjBnbu3OnU0G6TyYR58+Zh8eLF5WY3JiL3wi4qIvIYRqMR27dvR8+ePR16/f79+xEdHY1atWqJXDIicjUGOERERORx2EVFREREHocBDhEREXkcBjhERETkcRjgEBERkcdhgENEREQehwEOEREReRwGOERERORxGOAQERGRx2GAQ0RERB6HAQ4RERF5HAY4RERE5HF85S6A3IxGIy5fvozg4GCoVCq5i0NEREQ2MJlMuH37NiIjI6FWl2+v8foA5/Lly6hXr57cxSAiIiIHZGRkICoqqtzjXh/gBAcHAxA+oJCQEJlLQ0RERLbIzc1FvXr1zNfxsrw+wCnplgoJCWGAQ0RE5GYqSi9hkjERERF5HAY4RERE5HEY4BAREZHHYYBDREREHocBDhF5Pa3egIXbU6HVG+QuChGJhAEOEXk9nd6If/16Gjq9Ue6iEJFIGOAQERGRx3H7AGf37t1QqVTmv48//hgAUFBQgJEjR2Ls2LEYOnQo0tPTZS4pERERuYrbT/T35ZdfYuHCheZ/Dx8+HAAwbNgw9O/fH8OGDcPx48fRr18/HDp0CH5+fnIVlYiIiFzErQOclJQUREVFYfz48aUeP3ToEBITE/H1118DAJo3bw6VSoVvvvkGw4YNk6GkRERE5Epu3UU1b948fPDBB+jYsSO2bdtmfnzz5s1o1KgRNBqN+bGWLVtiy5YtchSTiIiIXMytA5xBgwZh3rx50Gq16NOnDz788EMAQHJyMsLDw0s9NzQ0FKmpqRW+V1xcHKKiohAVFYUFCxZIWm4iIiKSllt3UT3xxBN44oknMG7cOEyfPh0zZszAwIEDkZOTg7CwsFLP1Wg0KCgoqPC9UlJSuNgmkZcqvjM8vNiBYeJavQGf7jyL0V1ioPH1EbtoROQgt27BKaFSqZCQkIBmzZph586dCAsLg1arLfWcwsJChIaGylRCIlIio9GEhK3JGLhsLwBg4LK9SNiaDKPRZPN7cA4dImXyiAAHEIKcrl27QqvVIiYmBllZWaW2Z2ZmIjY2VqbSEZESzd2WgrX705GeLbTupmcXYO3+dMzdliJzyYjIWR4T4ADAlStX0KtXLwwaNAjHjh0r1YqTnJyMPn36yFg6IlISnd6IHSevQ1um5UWrN2LHyWuitMhwCQgi+bhtgHPhwgW8+eabuHDhAgBg/fr1aNq0KZo0aYJWrVrhsccew08//QQA+Ouvv6BWqzF48GA5i0xECnKrQIe8omKL2/K0Btwq1Dm9Dzm6rxhUEQncNsDx9fXFb7/9hvj4eHTq1Al6vR7Tpk0zb1+3bh2+++47TJ48GYsWLcK2bdvg48MEQCISVA/0R1CA5Yk/gzS+qF7F38UlEgdzgogEbjuKKjIyEseOHatwe3h4ONasWePCEhGRO/H3VaNrkwis3Z9eqptKc+dxf1+3vf+rEEd8kTfxvDOYiMhG03rHYWjb+qgfFggAqF8jEEPb1se03nE2v4czQ8xdja075E0Y4BBVgjkNnkutVmF633hsHN0OALBxVDtM7xsPtVpV6WvFGGJORNJhgENUCd71ej6/O91RfnZ0S3GIOZGyMcAhIrKTrUPMrXVfsWWQSFoMcIiI7FTZEPMbBdpKu6+kahl0p5wgIikxwCGSCO/QPVdlQ8yX7zrr8u4r5gQRlcYAh0gizN3xXCVDzDVlcnY0vmp0ur8mfkvNknSGZEtsyQli6w55EwY4RG6GLUOuZ+kzr2iI+esdGzo9Q7K933FlOUFFOgNbd8jrMMAhqoTS7nrZMiQ+f181xnVrXOHkfpY+84qGmIcFaZyeIdne77iynKD3t57giC/yOgxwiCrAnAbvofH1wVs97ndodt+yQ8ytdV9JNUOytZygqv4+2Hc22+VdZkRyY4BDVAHOc0KOsmWGZDFbBq0FVY/G1EC+Vm/xdWItKkqkRAxwiFA+58HWeU6ILLE2Q7JULYMVBVUz+zb1yEVFiSrDAIcI5XMeKstpsOWul5O8kaUZkqVqGawoqArw93F5lxmREvCXTW7FVYFBZfOcWLvrteUOnYnC3skVLYOWgioxFhUlcjcMcMgprm6JcFVg4EyiqNS5O0ob1eUNxPrMbW0ZFPs7dmZRUSJ3xQCHnOLJLRGO3PVKeYfOUV2uZ8tnXtkQ83tV1jIYovGT9Dt2ZFFRKbGrlqSkjF85kQI5ctcrRu5ORTiqy/Vs+cztGWJeWcvgx7+c8qrv2JNvkEh+DHCIKmHPXa8zuTvWcFSX60n1mVfUMjjp8Vh+x0QiYoBDBPFyHsSY5M1Ss72ULUNkmRifuaXuq4paBnOLivkdE4mIAQ55NSnyWpyd5M1Ss71ULUNUMTE+c2vdV2VbBm3dX2V5K/bkBBF5Mp4B5NWkyGuRYpI3Oab/93au/sxt3V9leSvOLDtB5ElYK5JTXD1kWcz9SZ3XIvYkb5zLxPVc/ZlLvT8pWnc4EoqUSpIAp7CwEBcuXMClS5dQXGy5T5ncm6uHLNuyP3srWlfntTgbUHEuE9dz9Wcu9f6kaN1xZiQU53QiKYkW4Bw7dgyjRo1Co0aNEBQUhOjoaNx3332oWrUqWrdujYSEBFy/fl2s3ZHMXD1k2Zb9VVbRlg2AbM15EOuuV6yASmlzmbgLZ1oaXP2Ze/p3zDmdyBWcPntycnIwZMgQvPrqqwgMDMSECROwceNG/Pzzz/j555/x3//+F8OHD0dGRga6deuGefPmiVFukpEYXTv2XGzE6koqGwDZmvMg1l0vE4XlxTlXlINzOpEr+Drz4mvXruGdd97BxIkT0bp1a5te8+OPP2LmzJl4//33ndk1yciWloiI4ACr71FysRnRIbrSwEGM/VWkJLchKfka0m8UoH6NQHSPqyVJjkVJQLV2f3qpYK1sQMVme+/graOdKrthmdKridd9JiQNpwKc7777DitWrICvr+1v88QTT6B169bYsmUL+vXr58zuSSYlLRGZeeW7VKRoiZByfyU5D2M6x6D1nCRsHNUOYUEaZ4prlbWAymg0Ye62FCSlXAMgNNuXbGOejecpaRm0l7sHwFLesBDdy6kwecyYMThz5ozdr6tVqxaDGzem1OGzzpAi58GeSd7UahWb7ckqT8lbYVctuYrTtfnLL7+Ma9euiVEWciOeNnxWCvZM8salGKgySg2A7W1R4pxO5CpO/5LS09Px+uuv45VXXsGuXbtEKBJZo5Q5J5Q4fNadm+7tGWHlrbkbcnL1Z152f0oMgJ1pUXLHGxZyP06frV9++SU2btyIjz/+GH/99RcGDhyIf/7zn7h69aoY5aMylDYSRIquHWtBnKX92VrRKjkAsqfZnjPVup6rP/Oy+1PiWmTOtChxTidyBaevSj169AAAhIWFYfz48di4cSO6dOmC2bNnY9iwYdi6dStMJvfqIybp2bsWkzWVVbTukLvAZnvpKTnArYzS8lbEalHy9Pl+SF6S/KoeeeQRfPrppxg/fjzGjRuHevXqYfr06VLsityM2MGGLRWtUnMXymKzvW3s7aZ1hwC3Mq4IgO35XJXYokRUlugBjslkwqZNm/D444/j4YcfRnZ2NgYOHIghQ4aIvStyQ2IHG5VVtJl5RTbdaTqaYyFmThSb7W0jdgufu5A6ALbnc1VaixKRJU4HONu3bwcAZGZm4oMPPkCDBg0wcOBAXL9+HUuXLsWlS5ewePFixMXxLtTbSZEoWVlFazLBpjtNR3MsHM2JshZQsdlePEpMznWUkgJgdqmSO3D6Vzhq1Cj06tUL9erVw+zZs9G+fXv873//w19//YXXXnsNVatWFaOc5AGkaNaurKKNCA5Q5J0mE4WlUbZFzRO7UuQIgC21VLJLlZTO6TMkLS0NKSkpmDFjBi5cuIB169ahffv2YpSNLFBaoqQ9XTtiNGtb2p+1itbb7jSVMo2AXMq2qLErRRyWWiqV1KJEZInTtfuzzz6LtLQ0vPvuu4iIiBCjTGSBUhMl7WmJsDXYsBbEWdpfZRWtN91pKm0aAbl5W4ArB3apklI5/YucPXs2fHwqv7hdv37d2V15NVsSJa3dvSvlzt5asOFsEFdRRcs7Te/mTQGuu5FiAkWl1HUkP6d/VY0bNy7178uXL2Pfvn3YvXu3+W/nzp2YMGGCs7vyGmVPUFsTJa3dvctxZ2+popFzLSbeaXoGe7tpGeDaRo7ubyly0diKSSVErenfffdd1KtXD+3bt0fnzp3Nf926dcO6devE3JVHK3uCypko6czdkLWKxlPWYpLiosClGCyTqoXP20nZ/e0prSmechzeRtQz/V//+hfWrVsHrVYLo9Fo/jMYDJg1a5aYu/IqciZKuupuyN1Gu0h5UeAIK8s8ZT4bZ4kdAEv5uXpKa4qnHIe3ETXA6dy5M9q1awc/v9IXY5VKhZEjR4q5K6/iDYmS7jbahRdb17K1hU9powylIGYAzM+VPJmoV8Y1a9Zg3bp1uHDhQqm/8+fPY968eWLuyiYffvghRo4ciRdeeAE7duxw+f7F5OmJku4UxCm5O81TL0SVtfDdKNAqcpSh0onxubJLlZTKV8w3W7duHWbNmoV333231OMmkwkqlcqlQc6SJUtw+vRprFq1CkVFRXjggQeQmJiImJgYl5VBTCWJkmM6x6D1nCRsHNUOYUEauYslqpJgLSn5GtJvFKB+jUB0j6tlcxDnqorWlu60iOAASctQltFowtxtKUhKuQZAuBCVfHaekExb0sKXmVe+qzJI44vlu87imwMZ5qCzpEUNAKb3jXdpWd2JGJ9rSYsSkdKIeiV47733MGnSJCQnJyMtLc38d/bsWbz55pti7soqnU6HWbNmYfjw4QCAgIAA9OzZE3PnznVZGaRiLVHS2t27O9zZOzvapbKme7ECICV2p3l6l5m1Fr5O99fEb6lZimxRUzpP/Fzdoa4j1xC1BadFixZ46623EBoaWm5b2VYdKe3ZswfZ2dlo1qyZ+bGWLVti6tSpLisDAECvFf5K+PgBflWgLczDyl2pGNExGhofH8BXI/zp8gGjAcUFOgSiAMW6IiDAD9DmAaY7J6tWDx/cyeQvygVw5+79l3NISr0BwISBS39H99gamPZ4NABg7q8XkZRyDSoYS21TB1YDDHqguOBuGVVqQBME6HWAvgjQ6hGEAqFsAdUrPCYUFwKGe1o1fDUo1gMBKEJxQQ6AOxd93wDA1x/+xgJM6lQH/oY8oMgH8AsEfHyBolz4GYR9+hnyAaOvUCbt7dKfrSZY+Ex0+aUfDwip8Jg0MOCtDrUBfT6gB6D2Afyr2nVM8NXA31iIro2qY+3NAmgNd5vqNb4qdG1UHf76POH97zmmUvyrinZM0OugKyrAjpQrli9EyVcwpXMk/DUaq8dU8tu7+7jwPZX67cF1xwR90d3H73xP0x5vCOh1SErNxoUbBbgvLBDd4+tgZNs6SDx2CZbkFRXj1s0biAj2h7/KTwhwjQVA0T1Bs4zHZO9vT4rvaVrXuoDJhKSU67hwI0/4XO+vgZGPRCDx2GULn+qdlsrb+Yiock8XoKVj0uqhwZ3WITuPSVuQg5W/nb1bT95zTFqDASt3nxO2VQkBVGoYC3OFevBUtlDXLduL7k1qYlq3eqVvkir4nrQ+VbD815N4/bFIYX9ljikIBXc+N19ZvicA7vvbK3kPF1OZTCbROqnT0tLw66+/WkwoXrlyJUaMGCHWrqxaunQpxo4di+LiYqjVwp3Jxo0b8dRTT+HGjRulArDc3FxUq1YNkZGRUKmEk+Dtt9/G22+/7XxBdn4I/PbPu/9u9Q/gySXQfT8a/se+vvt4p6lAl3dg/Gog5p6qgx2GVshDFVStGoxurRpj2vmXoM46aX76MN0ULJ0xCcELogHdbSQUv4C1hh7Q4m7LgQY6DPURFkJdi76lL8TQYajfb5ie8AlwJglY+/TdstRsAoz5Azi0GtgyFjqTD24hGEHRbRD44vcVHhM2vQEcWQMAMJpUmFv7EyTl1cet7GsIw2109TmCab7roO7/L6DNcGDpI0Dm3WPC0A1Ao+7AB1GA7p6TevR+IKQu8M96pT/bqRlA7iXg07Z3H/MPBt69WOkxmcV0Bf6x0aZjuvd7wpqBMJ7Zibn6IdhhaIUrqIFaNULRXfsrphUvgVplcukxXd88A320c5GJ8jcWNXEDiZppiGjdv9Jjwtl78tT6LVLs9yT8JoMQ2LwfggYthW7jm+j5RwucQ2S544/GZfysmQJ/lUHRx2Rmw29Pqu/p5tXzKP6iL6ojD/4qA3R+1dFTsxrnsspcTAFEh1fFz53S4Z9o/Zh0Jh98qX8cg95ZjbBfJ9h1TIYlD8Mn65TNx5SQMLV8PegDDEUipvvdqW+tfE+3X/kdcxLewf/5fVbumG7/PBeFe1egOm4LvyUZvye3/O2VvIfISq7fOTk5CAkJKbdd1ACnTZs2yMjIQFBQUKnHjUYjLl++DJ3ONUN9P/jgA8yfPx/Z2dnmx7Zt24Y+ffrg4sWLqFu3rvnxyj4gp1QQId++nYtH5/6Mfe90Q7DG1xzdJmw6irUHLpVpFVBj6IN1ML1XQwDAba0eD3z4O/6a9QSCUQid3oieyw7hXHZR2b2jQagGUKlw/kb5bdFhAfj57S7wVxlxOy8Xj374q1CeAH9AEwSjTivkdJzKxoWbd++Wpz3eEGrjPd+jhag/4ac0rP2zdIuCxkeFoQ9FCv32lUT9t7X6u+UJrqboO5kbBTo8/NEeHHivF8L8imW5O9MVFVT4G4iuEYCfR7XxiBacku/J/PuY1hPBwSFAcSESEk9h7cHL5VrUhj4YaT53lHxMZjK2DNwu1OLR2Vvu1ksAEpIuYu3+9NLnsq8KQ9s2wPRejSo8JqOuyNyakn6zAPVrBKH7/TUwrUf9u60plRzT7dybePSDpLvlsVJH6AxAz092WT4HwgLw8+g2d7umK/iebps0aD1rGw6/08F8/EaoMTfpApKSr+LCjXzcFxootIA/cT/UmkBFnk/m1q1OMdAEVlPGb0+iFpzKrt+idlE98cQTuH37Nlq2bFlq+Qa9Xo///Oc/Yu7KqrCwMGi12lKPFRYWAoDF7jPJVPSl+lVBHgKFH+udXA6d3ogdp2+WqqCBO90MZ25iim/QnRO0GAbc+WwDQnArtwh5Wst9zbk6E1SwHL/mFZvuJsNqgu+WRyOUZ+4vZ+8JUtRIv1FkPWnTrwrgV0U4jjO3yneXGEzCccBXuL/SBJV/jzvHBBTfLY/a557Hy1D5WH7cxxfwsfC4r7/wV+7xir8n+FUp/7h/1btPQTH08BVyoqwek42PO3BM/kH+6BpXx8KFSI2ucXXgH1TdrmMqRaZjsv493fl9lByHXxVM698S8PW3nKBeNodLkcdUhhzfk9qnXL1kNfFfrarwmOb+VKb+yC7A2oNFgI9v+fqjomPyDypXnrtlL11H3MqruB7MKzbhlikAEQH3JP5b+p6KilEM31L7m7s1+Z7zSo30m0VY++cVwNdfOA4Fnk+6omJ8/NsVDOvSHBpA9t+eVm/ApzvPYnSXGJfP7SVqgDN27FiYTCbUqlWr3LYuXbqIuSurYmJikJ+fj6KiIgTc+VFnZmYiKioKgYGBLiuHPRwdmWNtFERIgPD1ZudbHiFRUTJsZcOgp/RqUmGirhJHGHkDZ0eguTtvGGUoB0c+V2fqD0dVNhrMkcR/OY7DE5VMkjiiQ7TLAxynvp1Fixbh3h6uiIgIi8ENADRs2ND8/2lpafj555+d2bVVnTt3Rnh4OA4ePGh+LDk5GX369JFsn86ydWRO2ZFA1kZBdIurhW5xteyeW8aZWYWVOMLIG3C9JQGXY5CGPZ+rHLOSSzGPlrvNri4GT1uSwqla4LnnnsPo0aNx/Phxm55vMpnw2WefYf369ejZs6czu7bKz88Pb731Fr7//nsAQH5+PrZv3+76UVR2sPUEtTQU2tokgI5MEOhMkCJGRcOJwxzHCzzJTa6bHLEnQ3XFcSgtoPC0JSmc6qKKiIjAhx9+iDFjxiA5ORkdO3ZEbGwsateujcDAQBQXFyM3NxcZGRk4fvw4Dh8+jKlTp+Kdd8TPpi5rypQpmDp1KsaNG4ecnBysXLkSDRo0kHy/tqhongZHuxkqa0a2t4m5JEixmNNhQ5DibHcJJw4jcl/O1h8l7J3Xy5buNGv5IGXfU6zjsEbO7htv4HQOTvXq1fH111/j6NGjWLFiBRYuXIi0tDRz15VGo8EjjzyC/v37Y/ny5QgODna60Lbw8fHBxx9/7JJ92aqy2WadzSOwdvdu7wSBzgQpzIcgKbGFTxpifq7O1B/W6kkAlc7Yba2usxRQWNuft+e2uTvRkoxbtmyJpUuXAgCKiopw48YNVKlSxbWjlhSuZLbZyqaTd1U3Q2UBl7NBijd0l/Bi63ps4ZOGmJ+rM/WHtXoSgE11qD0qq5fd7WaNMznfJUmtHBAQgMjISAY391DiAo22TO/vDUGKM8Rc2ZnI09hbf1irJ39NuYpfU66JWofaWi+7Qz1oNJoUueCsnAGXcr8tD6O0jHwlBlxEzmKLmjSUsJBtbpEBt4v0Frc5WocqrV52htTr0dmbEK2EgIu1gIsobfi0J53YdJe3X+DZoiYNV32u1urJkABfBAdYzqpwtA5VWr3sKHtuWK0FKtZaW6yNsLL0nkpYAFjUWvDMmTMWHz969CiMRu9uEZBingZneMqJTaXxAk/uTIp5vRzdnyvqZbG6b+y5YbUUqDjb2lL2PZXSQyDqt7dgwQKLj0dEROC5554Tc1duSex5GsqydvduzwSBcgRcRESA8/N6WasHKxoxKmW9bInY3TfO3rCK3dqilB4Cp0dRpaSk4NNPP0V+fj727duHl19+udxz0tLScOrUKQuv9i5SD5+2NgrC0japh0B6e3cJEdnP2Xm9LNV1Uo8YtZetI2pt5cycPVIsSSHF0hmOcPrKExcXhxkzZuDSpUswmUzl/gCgWbNm2LRpk9OFdSfW+jkry8h3VWBgy/T+zpSF3SVE3s2Z+sPReb0scXbEqJh1slTdN462REnR2qKUHgJR5sGpWbMmEhMTsWHDBjz77LNivKXbc2aGSlfP82HtxOacI0TkKCXUH2K0UIh5HFItSOxoS5RUrS1KmCRRtDDK19fXanDz008/ibUrIiIimyglH6SE1AM87G3dsrW1xd6EaCUsAOxUC07//v3RsWNHTJw4EQDQr18/5Ofnl3uewWDAsWPHcPPmTWd2R0REZBel5IOUcMUaV9bYuzRPZflLFb1nCTknSXQqwOnQoQNiY2PN/27YsCEuXbqE+Ph4+Pjc7ZYxGAzIzc11ZldERER2kzugsESO7htHE60TtiZXmBA9rXdcpcGPnJwKcJKSkrB69Wr069cPADBhwgT4+Pigbt265Z47ePBgZ3ZFRETkECXkg9xLqSO3yra2VJa/ZDAa8c2BDFHXBhOTU6FrTk4O9u3bZ/73Tz/9ZDG4AYDAwEBnduVROHyaiMg6e+b1qozUI0Yd5aruG0dHblnLX7pdpFfEZH7WOPWpduzYERrN3ajzzz//rPC5P/zwgzO7cjvW+iSVNnyaARcRKY21etLROtSWEaNKqZftXfvJGkcTra0lRFfx90GBznLZlLLcj1NdVC+++CJatmyJgoIC+Pj4IDs7G0lJSeWeV1BQgMzMTEyYMMGZ3bkFWxKylEYJQzmJiOguZ6YaKcvRRGtr+UvdmtTCb6mZyFJI8rYlTgU48fHxOHr0KH7//XdcunQJn3/+OV566aVyzysqKsLKlSud2ZXbEHuGSiKxaPUGfLrzLEZ3iVHMXSoR2c/auWypRd6ZRGtr+Utlr3eW3lPOHgKnJ/rz9/dH165dAQA3btzA8OHDLT6vRYsWzu5K8aSY8ppILGLeERKRbaS4sbB2LlfUIu9oorW1hGhb3lPOHgJRr7bjxo2rcNujjz4q5q4USWkTShERkbwsrd4tB2cTrS3lLylhMj9r2JwgIqlnqCTyFmImWBIpldJGbkmRvC0nZZXGzSllgTEid6eUu17yLEobMaq0kVueRpTFNukupU0oRUREAncaMWrv2k9UnqRh7IULF1BcbDknxVMpvU+SiIiUy2g0IWFrMgYu2wtAmGokYWsyjEaTzCVzP5IFOPn5+YiOjsbBgwel2oWiKbVPkrwX7wiJlK9k6HV6dgGAu1ONzN2WYn4Oz2XbSHr1NZkYcRLJjXeERNKylhRvTzBS2VQjRTqDbOey0vKXbOE+JSUih9hyR0hEjrOUFO/IjUVlU428v/WE0+eyo4GKtYRopQY/kpXGx8cHnTp1QrVq1aTaBRFVwtFF9uTGJnhyd47cWFibaqSqvw/2nc12+lyWYuSWUkeDSRbgBAQEYOfOnWjatKlUuyCiSrjb5JPsTiNP4OiNhbWpRh6NqYF8rd7i65R4LiuBstqTiEhU7jb5JLvTyBM4c2MxrXcchratj/phgQCA+jUCMbRtfczs29StzmUlYIAjEaX2SZJ3cafJJ921O42oLGduLCqaaiTA38dtzmWl4CciEaX2SZL3qeiOUGmTT7pbdxpRRcS4sbA01Yi7nMtK4ZKZjPft24datWqhYcOGrtgdEd3D2mrASlJy15uZVz6QYRM8KZmlpHgpZrV3l3NZKUQNcHJzc7Fu3TpkZWXBaLz7RV+5cgW7du1CSgr70YnkovTJJ0vuetfuTy/VTcUmeFIqo9GEudtSkJRyDYCQFF8SxEgZjCj9XFYKUQOc559/Hn///TciIiJQUFCAiIgIAEBaWhqeeeYZMXdFRB6Ia7mROylJii8JyEuS4gFget94AAxG5CRqgBMSEoL09HQYDAYkJCRg1qxZAIBvvvkGajW/XCKyjk3w5C4qS4qf0qsJWx1lJuqnHxkZCUCY5K9WrVr466+/AAAtWrTA5MmTxdwVEXkw3vWS0jEpXvlEbcEJDw9HvXr1MHr0aEycOBG9evVCzZo1sXfvXgQGBoq5KyIiItlInRTPqUacJ+on984772DNmjUYNGgQ/Pz88N133yE+Ph7PPPMMEhMTxdwVERGRbKSeY4pTjThP1ADnk08+QefOndG4cWMAQGhoKGbMmIEePXrgwoULYu6KiNyctRWYidyBXPPSsHXHNk53UeXk5CAnJwcAcOjQIWRkZMBkKr1ujI+PD1544QVcvnzZ2d0RkYOUVimWrMA8okM071LJLdmSFC/FeVfSukPWOR3gFBQUYOnSpViwYAGMRiPWrVtXantJsDNkyBBnd0VETmClSCQNa0nxPO/k43SAU6dOHfzf//0fHn/8caxbtw4zZswotV2lUiEwMBDh4eHO7oqIvITSWpuIyP2INoqqW7duaNWqFcLCwsptO3jwINRqtcVtRERl8a6XiJwl6jDxatWq4aeffiq3VENGRga2bt2Kffv2ibav2bNnY+bMmeZ/HzhwAA899BAA4PTp05g5c6Y5oJo/fz40Gk4WRuRqWr0Bn+48i9FdYphnQ0QuJWqAM3z4cGzYsAHVq1eHyWRClSpVAAC3bt1C9+7dRdtPUVERDh8+jIULFwIAqlatag5u8vPz0bt3b/z4449o1KgRlixZgnHjxmH58uWi7Z+IbMNEYiKSi6gBTk5ODrKzs+Hj44N58+Zh2rRpAIAVK1aYh46L4csvv8Qbb7xhMWhavnw5oqKi0KhRIwBCcnPNmjUxdepUNGjQQLQyEJFzLK3ATEQkFlEz+Fq0aIHAwEBoNBoEBASY577p0qULRo0aJco+jEYjFixYgAEDBuDpp5/GqVOnSm3fvHkzmjVrZv53WFgY6taty4kGiRTCaDQhYWsyBi7bC0BYgTlhazKMRlMlryRSJibFK5OoLTiFhYXo0KEDhg0bhtdeew39+vXDI488gu3btyMvL0+0fcydOxfJycn4/PPP0aZNG2zatAndunUDACQnJ6Nr166lXhMaGorU1FRR9k9EzrFlBWYid8KkeGUSNcCZN28evvrqK8TGxiIoKAiff/455syZg+joaCxdutSm95gwYQKOHj1a4fbx48dj8ODBAIBJkybhySefxMsvv4y0tDT4+PggJyen3GgtjUaDgoICq/uNi4uDSqUCALz99tt4++23bSovkSdwVTIwV2AmIlcRNcBRq9V48cUXzf9u2LAhVq1ahfT0dJtbcObPn2/z/gIDA7FmzRpER0cjNTUVcXFxCAsLg1arLfW8wsJChIaGWn2vlJQUhISE2LxvIk/iqmRgW1ZgjggOkGz/ROQ9nApwXnvtNRQXW66sSphMJpw5cwbR0dH46quvnNmdRbVr10Z8fLw5qImJiUFWVlap52RmZiI2Nlb0fRORdWUTiaVegZmIqIRTbcEFBQU4deoUDAYDTCYTjh07hp9++glFRUUwmUzmZRrEyr+xxGAwwN/fH82bNwcADBo0CAcPHjRvz87ORnZ2Nnr27ClZGYiotIoSiX3VKklXYCYiKuFUC86kSZMQFhaGqKgoAMAzzzyDXbt2ISgoqNTzrl+/jnfeeceZXZklJSXh999/x6RJk6DRaPDuu+9izpw58PERmtVffPFFfPLJJ7h27Rpq1aqFtWvX4rXXXjOXkYikZy2RuGSl5aTka0i/UYD6NQLRPa6W5CswE5F3cep2qUWLFqUCh8jIyHLBDQDo9Xr897//dWZXpaxYsQINGjTAwIEDMXjwYPMIKkAYMbVhwwaMHz8eEyZMQEZGhnlCQCKSXmWJxHqjCdP7xmPj6HYAgI2j2mF633io1So5iktEHkrUJGOtVotFixbhlVdeQdWqVWEymbBnzx6MHTsW998vzhC67t274/Lly1af8+CDD+Kbb74RZX9EZB9bE4mtrcBMROQsUWuWBQsW4OjRo6hevTrCwsKg0WjQqVMn3LhxA6tWrRJzV0QkIjFnFS5JJLaEicRE5CqituBUqVIFn3/+Od59913873//Q1ZWFmJiYtCnTx/4+7NSI1Iao9GEudtSkJRyDYCQDFySD+Nol5H/nYThe3NwACYSE5FriRrglIiJiUFMTIwUb01EIpJqVmEmEhOR3HgrReSlKksG1jnRXaVWq5hITESyYoBD5KVsSQaujFZvwMLtqdDqDRa3M5GYiOTCWofIS4mRDFyyxIMjrT1cgZmIpMSahchLlSQDyzWrcMkKzFKufUVE3kuSJGMicg9MBiYiT8UAh8iLlSQDj+kcg9ZzkrBxVDuEBWnkLhYRkdPYRUVETAYmIo/D2oyIJMNEYiKSC7uoiMhhlS3xUJJITETkarytIiKrLM11YzSakLA1GQOX7QUgLPGQsDUZRqNJrmISEZXCAIeIrLI0103JEg/p2QUA7i7xMHdbilzFJCIqhQEOEdlFyiUeiIjEwgCHiOxKBhZjiQciIqkxwCEiu2YVFmOJByIiqTHAISK7yL3EAxGRLThMnIjsxiUeiEjpGOAQkVWW5rrhEg9EpHRsSyYii2yZ64ZLPBCRUrEFh4gsKpnrpmQ4eMlcNwAwvW+8nEUjIqoUb7uIqBzOdUNE7o4BDhGVw7luiMjdMcAhonI41w0RuTsGOERUDue6ISJ3xyRjIrLIlrlu7FnigYjIlVQmk8lU+dM8V25uLqpVq4acnByEhITIXRwixbmRp0XrOUk4/F53znVDRIpR2fWbt11EZBXnuiEid8Qai4iIiDwOAxwiIiLyOAxwiIiIyOMwwCEiIiKPwwCHiIiIPA4DHCKyinPdEJE74kR/RGSVxtcHb/W4X+5iEBHZhbdkRERE5HEY4BAREZHHYYAjoQULFshdBJfwhuPkMXoGbzhGwDuOk8foGaQ8Rq5FJeFaVFFRUbh48aKo76lE3nCcPEbP4A3HCHjHcfIYPYMzx8i1qIiIiMjreP0oqpIGrNzcXEneW4r3VRpvOE4eo2fwhmMEvOM4eYyewZljLHldRR1RXt9FdfHiRdSrV0/uYhAREZEDMjIyEBUVVe5xrw9wjEYjLl++jODgYKhUKrmLQ0RERDYwmUy4ffs2IiMjoVaXz7jx+gCHiIiIPA+TjImIiMjjMMAhIiIij8MAh4iIiDwOAxyJfPjhhxg5ciReeOEF7NixQ+7iiC49PR09e/ZEcHAwWrVqhZ07d8pdJElt27YN0dHRchdDUjk5OVi0aBHWrl3rUd9nXl4exowZg3feeQeTJk3C2LFjodVq5S6WaLKysjBp0iSMHj261OMFBQUYOXIkxo4di6FDhyI9PV2mEjqvomPcuXMnWrRogZCQEDzxxBM4f/68PAUUQUXHeK/JkyfjxRdfdF2hJFDZcZ45cwbz58/Hd999h2PHjjm3MxOJbvHixaaXXnrJZDKZTIWFhabY2FjTmTNnZC6VeIxGo6lHjx6mjz76yPTVV1+ZWrZsaQoMDPSoY7zXjRs3TDExMab69evLXRTJnDlzxvTcc8+ZsrKy5C6K6EaPHm2aP3+++d9jxowxvffeezKWSDw6nc60ceNGU+PGjU3Dhw8vte3pp582rV692mQymUzHjh0zNW/e3KTT6WQopXMqOsZLly6Z2rZta/r8889NixYtMtWoUcMUHx9vKi4ulq+wDrL2PZbYs2ePKSgoqMLt7qCy40xMTDSNHz9etO+QLTgi0+l0mDVrFoYPHw4ACAgIQM+ePTF37lyZSyaev//+G1OmTMGkSZPwj3/8A7/88gtUKhW2bt0qd9Ek8d5772HYsGFyF0MyN2/exLBhw/DJJ5+gRo0achdHdLt27UL9+vXN/27evLnzd4YK4efnhwEDBuChhx4q9fihQ4eQmJiIZ599FoBwzCqVCt98840cxXRKRce4Y8cObNmyBS+//DLefPNNfPXVV0hOTsaJEydkKqnjKjrGEgUFBVi6dCmefPJJF5dMXNaO88CBA1i6dCnmzZsHX19x5iBmgCOyPXv2IDs7G82aNTM/1rJlS4+6+MfGxqJbt27mf0dERCA+Ph4ajUbGUknjhx9+wEMPPYT77rtP7qJIZubMmWjYsCE+/PBDtG3bFpMnT4Zer5e7WKJp0aIFPv30UxiNRgDAn3/+iddff13mUonLz8+v1L83b96MRo0alTonW7ZsiS1btri6aKIpe4zPPPMMwsPDzf/u3LkzALh1PVT2GEvMnj0b7733nmgXfrmVPU6j0YhXX30Vbdq0wciRI9G2bVusWrXK6f0wwBFZcnIy1Go1QkNDzY+FhoYiMzMTN2/elLFk4vH39y/32M2bN9G3b18ZSiOdrKwsJCYmun2ftzUFBQVYuXIlWrdujYULF+LLL7/EsmXLMGXKFLmLJpoFCxYgLS0Nw4YNw969ezFgwAA88cQTchdLUsnJyaUu/oBQD6WmpspUIvGVrYeuXr2Kpk2bokmTJjKVSBq//fYbatWqhbi4OLmLIpndu3cjNTUVPXr0wKpVq/DGG2/glVdecTogZ4AjspycHFSvXr3UrIoldxQFBQVyFUtSu3fvxlNPPWVxqmx3Nn36dCQkJMhdDEn98ccfKCwsxAsvvACVSoUmTZrg2WefxbJly8wtHu6uTp06WL9+PapVq4bevXt7zHFZk5OTg7CwsFKPaTQaj62DAGDt2rX4+OOP5S6GqPLy8rBq1SqMGzdO7qJIaufOnWjQoAE6dOgAABg6dCgaNWqEJUuWOPW+DHBEFhYWVm6ERmFhIQCUatXxFMXFxfjmm28we/ZsuYsiqvXr16Nz586oXbu23EWR1NWrVwEAVatWNT/WuXNnFBYW4tKlS3IVS1QpKSnYt2+fuX//qaeews8//yx3sSRVUT3kiXUQAFy4cAFardbjWubef/99zJw50+IyBJ7k6tWrpeogAOjUqRPOnDnj1Pt69qcmg5iYGOTn56OoqMj8WGZmJqKiohAYGChjyaQxf/58vPvuu27d723J8uXL8dxzz0GlUkGlUuGll15Ceno6VCoVdu3aJXfxRBMcHAwApbpPIyIiAHhOQD5ixAjzneGIESPwxhtvYOLEiTKXSloxMTHIysoq9VhmZiZiY2NlKpF0CgsLsWzZMsyaNUvuoohu3rx5iImJMddDq1evxurVqz1u3cTg4OByKRwRERFO10EMcETWuXNnhIeH4+DBg+bHkpOT0adPHxlLJY2VK1eiV69e5tXYtVotDAaDzKUSx2effYYjR46Y/95//33UqVMHR44cwYMPPih38UTz6KOPws/PDwcOHDA/duPGDbRq1QpBQUEylkw8R48eLZWv8corryAjI0PGEklv0KBBOHbsWKlWHE+shwwGA/75z39i6tSp5sTV/Px8mUslnnvroCNHjqBfv37o168fjhw5InfRRNWpUyekpaWVCspv3LiBjh07OvW+npGSrSB+fn5466238P3336NDhw7Iz8/H9u3b8eOPP8pdNFF9+umnuHjxIqKiovDTTz+hoKAAGzduxOrVq+UumigaNWpU6t9//fUX/P398cADD8hTIInUqFED48aNw7Jly/DUU08BADZu3Ihp06bJXDLxPPHEE/jxxx/NIxtPnTrlcQnxBoOh1F19q1at8Nhjj+Gnn37Ck08+ib/++gtqtRqDBw+WsZTOKXuMBoMBr776Kh577DHs27cPAHD9+nWcPHkSH3zwgVzFdErZYyxb35TkVbl7PVT2OPv06YOHHnoI//73vzFt2jRotVrs3r3b6esmAxwJTJkyBVOnTsW4ceOQk5ODlStXokGDBnIXSzSrVq3CmDFjAAgzNpd48803Pb6v2BN9+OGHmDx5Ml5//XWEhISgY8eOePrpp+UulmhWrlyJiRMnYubMmQgKCsLVq1exdOlSuYslmvXr12P37t1Qq9X49ttvzUHMunXr8NZbb2HPnj3IysrCtm3b4OPjI3NpHWPpGF9++WV89dVX5YYTb9iwQaZSOqei79HTWDpOtVqNzZs3Y8yYMZg2bRqys7OxbNmyUvNXOUJlMplMIpWbiIiISBF4u01EREQehwEOEREReRwGOERERORxGOAQERGRx2GAQ0RERB6HAQ4RERF5HAY4RERE5HEY4BAREZHHYYBDREREHocBDhF5jNTUVHzxxRcOv3737t345ZdfRCwREcmFAQ4RuYXk5GSr28+dO4cVK1bgpZdecngfHTt2xPnz57Fp0yaH34OIlIEBDhEp3okTJ/Ddd99VuN1kMmHEiBGYPHmy0/saMWIEFi1ahMuXLzv9XkQkHwY4RKRoubm5eP7552E0Git8zqZNmxAUFISIiAin96dWqzFo0CB89NFHTr8XEcmHAQ4RKdqaNWuQlZWFrVu34vXXX0d2dna556xYsQIdO3Y0/zstLQ1jxoxBnz59sGfPHjRp0gR16tTB3r17zc9ZvHgxpk+fjgEDBsDPz6/U+7Vv3x6ff/45dDqddAdGRJJigENEijZmzBjcf//96Nu3L5YvX44aNWqU2q7X67Fz507ExsaaHwsODkZubi5SUlKQnJyM33//Ha1bt0ZCQgIA4MKFC9i9ezcSEhLwww8/oH///qXes1GjRsjLy8P+/fulP0AikgQDHCJya2fOnEFRURFq165tfqxmzZqIjo5GVFQURo4cifDwcPTp0wdnz54FAGRlZWH79u3YvXs3AODtt98u9Z6BgYGoXr06jh8/7roDISJRMcAhIrdW0mUVGBhY6nG1Wg21+m4VFxgYaO5yatWqFdq1a4dOnTph0KBBiIqKKve+gYGByMzMlLDkRCQlBjhE5NaqVKkCACguLrb5NSqVClu3bsXSpUuxY8cOtGnTBunp6eWe5+PjI1o5ici1GOAQkeKpVKoKt5V0TeXm5tr8fidOnMClS5cwevRoHDt2DBqNptww9Ly8PERGRjpWYCKSHQMcIlK8wMBAnDlzBsnJybhw4UKpbZGRkbjvvvuQkZFR6vHi4uJyQ8sNBgMA4Pbt21iyZAkAICoqCg8//DAaNWpkft6tW7eQm5uLNm3aSHE4ROQCvnIXgIioMiNGjMCIESMQFhaGRYsWldvev3//UgnBR48eRWJiIs6fP48NGzagadOmWL9+PS5fvoxVq1YhPj4eH330EVJTUxEfH49mzZrhySefNL/+xIkTiI6OxgMPPOCKwyMiCahMJpNJ7kIQETnj7NmzGDJkCP744w9R3m/27NmoXr06xo4dK8r7EZHrsYuKiNxeTEwMevXqJcpCmTqdDgcOHMCoUaNEKBkRyYUBDhF5hBkzZmDnzp1ODe02mUyYN28eFi9eXG52YyJyL+yiIiKPYTQasX37dvTs2dOh1+/fvx/R0dGoVauWyCUjIldjgENEREQeh11URERE5HEY4BAREZHHYYBDREREHocBDhEREXkcBjhERETkcf4fxy7yn8lp+4UAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhMAAAG4CAYAAAD/kGWUAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAAxOAAAMTgF/d4wjAAAd+UlEQVR4nO3df5CVdb3A8c9ZgRVkF1mNFBdBl+uGiUhd7nDz11Y6aCwzXcyyLNAUNS1RQmHCRtG4UAjX8QfagAR2b2YWErrG9Aul0ExL5DqSP1gxRi7IArEhsOLuc/9gPLkioX4P7Fn29ZrZGc9zzn6fL985u/v2Oc95Ti7LsiwAAD6gkraeAADQvokJACCJmAAAkogJACCJmAAAknTanztraWmJtWvXRllZWeRyuf25awDgA8qyLP7+979H7969o6Rk9+MQ+zUm1q5dG3369NmfuwQACmTNmjVRWVm52/b9GhNlZWX5yZSXl+/PXQMAH1BjY2P06dMn/3f8nfZrTLz10kZ5ebmYAIB2Zk+nKDgBEwBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBI8r4+m6OhoSG++93vxuuvvx6zZs3Kb9+2bVuMHTs2unbtGps2bYopU6ZE3759Cz5ZAKD4vOcjEzt37ozf//738fOf/zy2bdvW6r5Ro0bFqaeeGrfeemtMmDAhRowYETt37iz4ZAGA4vOeY6Jz587x2c9+NoYMGdJq+5/+9Keoq6uLL3zhCxERMXDgwMjlcnHvvfcWdqYAQFF63+dMdO7cudXtRYsWRf/+/aO0tDS/bdCgQfHggw+mzw4AKHrv65yJd/Pcc8/F4Ycf3mpbz54945lnntnj9wwYMCD/mejjxo2LcePGpU4D4APpN7Fun4y7etrwfTIuFKPkmNiyZUtUVFS02lZaWrrbeRVvt3LlyigvL0/dNQBQBJLfGlpRURFNTU2ttm3fvj169uyZOjQA0A4kx0RVVVU0NDS02rZhw4aorq5OHRoAaAeSY+Jzn/tcrFixotXRieeeey6GD/d6IQB0BO87Jpqbm6OlpSV/e/DgwXHKKafE4sWLIyJi+fLlUVJSEueee27hZgkAFK33dQLmfffdF0uXLo2SkpK4//7788Hwox/9KK6++upYtmxZNDQ0xMMPPxwHHXTQPpkwAFBcclmWZftrZ42NjdGjR4/YsmWLd3MARcFbQ2Hv9vb32wd9AQBJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJOqUOsHXr1pgwYUKUl5fHm2++GU1NTTF9+vQoLS0txPwAgCKXfGRiwoQJUVVVFVOnTo3p06dHS0tLfOc73ynE3ACAdiA5Jh555JHo27dv/vbAgQNjxYoVqcMCAO1EckyceOKJMWvWrGhpaYmIiKeeeiouu+yy5IkBAO1DckzMnDkz6uvrY9SoUfHYY4/FZz/72Tj77LMLMTcAoB1Ijokjjzwy7rvvvujRo0d85jOfyR+h+GcGDBgQlZWVUVlZGTNnzkydAgDQhpLfzbFy5cp4/PHH44477ojBgwfHyJEj46GHHophw4b90+8pLy9P3TUAUASSj0xcfPHFceqpp+b/++tf/3qMHz8+eWIAQPuQHBPPPPNMdOnSJX/7oosuijVr1qQOCwC0E8kxcfbZZ8cvfvGL/O3nn38+amtrU4cFANqJ5HMm5syZE+PHj4/rr78+unfvHuvWrYs77rijEHMDANqB5Jjo0aNHzJ49uxBzAQDaIR/0BQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQJJOhRxsy5YtMX/+/KioqIijjjoqPvnJTxZyeACgCBUsJlatWhXXXXdd3H777XHYYYcValgAoMgVJCY2b94co0aNigULFggJAOhgCnLOxPXXXx/HHntsTJ06NYYOHRrXXnttvPnmm4UYGgAocslHJrZt2xZz5syJKVOmxFVXXRXPP/98DBkyJJqbm2PGjBnv+j0DBgyIXC4XERHjxo2LcePGpU4DKAL9Jtbtk3FXTxu+T8YFCiM5Jp544onYvn17nH/++ZHL5eIjH/lIfOELX4g777wzpk+fHiUlux/8WLlyZZSXl6fuGgAoAskvc6xbty4iIg455JD8tpqamti+fXu8+uqrqcMDAEUuOSbKysoiYtdJmG/p1atXRET07NkzdXgAoMglx8S///u/R+fOneOPf/xjftumTZti8ODB0b1799ThAYAilxwThx12WIwdOzbuvPPO/LYHHnggJk2alDo0ANAOFOQ6E1OnTo1rr702LrvssigvL4/TTjstzjnnnEIMDQAUuYLERKdOnWLmzJmFGAoAaGd80BcAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJxAQAkERMAABJOrX1BKA96zexbp+NvXra8H02dnuzL9d5X2mPc26v/Ky0PUcmAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASCImAIAkYgIASFLwmHj44YfjmGOOKfSwAECRKmhMbN68Oa688srIsqyQwwIARaygMXHdddfFqFGjCjkkAFDkOhVqoIULF8aQIUMKNRwA0E4UJCYaGhqirq4uZs+eHfPmzdvr4wcMGBC5XC4iIsaNGxfjxo0rxDQAoGD6TazbZ2OvnjZ8n43dFgoSE9/+9rfjpptues+PX7lyZZSXlxdi1wBAG0s+Z+K+++6LmpqaOOKIIwoxHwCgnUk+MnHXXXfFI488Euedd16r7blcLpYsWRI1NTWpuwAAilhyTMyePTu2bt2av71o0aK466674uGHH47+/funDg8AFLnkmHhnMCxfvjy6dOkSJ510UurQAEA74HLaAECSgsfEBRdcEKtXry70sABAkXJkAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCRiAgBIIiYAgCSd2noCwP7Vb2JdW08BCspzuu05MgEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAEASMQEAJBETAECSgsTEK6+8EsOGDYuysrIYPHhwLFmypBDDAgDtQHJMZFkWY8aMiTPOOCNmzZoVWZZFbW1trFq1qhDzAwCKXHJMPPvsszFhwoS45ppr4itf+Ur88pe/jFwuFw899FAh5gcAFLlOqQNUV1fHwIED87d79eoVxx9/fJSWlqYODQC0A8lHJrp06bLbts2bN0dtbe0ev2fAgAFRWVkZlZWVMXPmzNQpAABtKPnIxDstXbo0Ro4cGZWVlXt8zMqVK6O8vLzQuwYA2kBBY2Lnzp1x7733xi233FLIYQGAIlbQ60zMmDEjvvWtbzlfAgA6kILFxJw5c+Kss86KPn36REREU1NTNDc3F2p4AKBIFSQmZs2aFfX19bFu3bpYvHhxLFiwIC6++OLI5XKFGB4AKGLJ50zMnTs3rrjiioiImDp1an77N77xjSgpcbVuADjQJcfEV7/61fjqV79aiLkAAO2QQwcAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQBIxAQAkERMAQJJclmXZ/tpZY2Nj9OjRI7Zs2RLl5eUFHbvfxLqCjsf+t3ra8H02tucH0BHsq9+je/v77cgEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJCkYDExderUGDNmTJx//vnx29/+tlDD5s2cObPgYx5oGv/4QFtPoehZo72zRntnjfbOGu3dgbRGBYmJ22+/PV588cWYPXt23H333XH55ZfHqlWrCjF0npjYu8YnF7b1FIqeNdo7a7R31mjvrNHeHUhrlBwTb7zxRtxwww0xevToiIg4+OCDY9iwYTFlypTkyQEAxa9T6gDLli2LjRs3xgknnJDfNmjQoJg4ceJuj82yLCIiGhsb3/d+siz7p9/X0rTtfY954Mna9Tp8kOfFe/WPdWnfa7R/WKO9s0Z7Z432rvBrtK9+j7417lt/x3eTJbr99tuzkpKSrLm5Ob9twYIFWURkmzZtavXYNWvWZBHhy5cvX758+WqHX2vWrHnXFkg+MrFly5Y49NBDo6TkH6+YlJaWRkTEtm3bomfPnvntvXv3jjVr1kRZWVnkcrnUXQMA+0GWZfH3v/89evfu/a73J8dERUVFNDU1tdq2ffv2iIhWIRERUVJSEpWVlam7BAD2sx49euzxvuQTMKuqquL111+PHTt25Ldt2LAhKisro1u3bqnDAwBFLjkmampq4vDDD48nn3wyv+25556L4cOHpw4NALQDyTHRuXPnuPrqq2PBggUREfH666/Hr371q3d9NwcAcODJZXt8n8d719zcHBMnTow33ngjtmzZEmPGjImTTz45eXIvvvhi3HjjjXHsscfG2rVr42Mf+1h87Wtfy9//2muvxTe/+c3o2bNnbN26NWbMmLHbeRodxUsvvRQ///nPo2/fvnHcccfFiSeeGBG71vD666+PioqKiIiYMWNG/gTZjujaa6+N1157LebNm5ffZo0ilixZEmPHjo3Vq1fHySefHHfeeWf069cvf7812mXq1KlRX18f27Zti4suuig+9alPtfWU2tQrr7wSl1xySTz22GPRv3//mDlzZnzyk5+MiF0n4I8dOza6du0amzZtiilTpkTfvn3beMZt6+GHH44rrrgiXn755Yg4wNYo9a2h+9Lxxx+f/elPf8qyLMtaWlqygQMHZr/61a+yLMuy5ubmbMiQIdmjjz6aZVmWPfjgg9mwYcPabK5tqa6uLrvqqquynTt3ttq+devWrH///tmLL76YZVmW3Xbbbdmll17aFlMsCsuWLcu6d++ejR49Or/NGmXZq6++mg0dOjS7++67s1tvvTU77LDDsuOPPz7/fLJGu9x2223ZhRdemGVZlm3fvj2rrq7OXnrppTaeVdtpaWnJzjzzzOx73/teds8992SDBg3KunXrll+Tc845J5s/f36WZVm2YsWKbODAgdkbb7zRllNuU5s2bcqqqqqyvn375rcdSGtUtDHx2muvZRGRNTQ05Ledd9552cyZM7Msy7Kf/vSnWb9+/fL3tbS0ZD169MjHRUfxxBNPZJ/5zGeyN998c7f7br755qympiZ/e+PGjVlJSUn28ssv78cZFofXX389+9KXvpSdf/75rWLCGmXZD3/4w2zDhg3523V1dVlEZMuXL8+yzBplWZY1NTVlhx12WPbII4/kt1155ZX5uOiIVqxYkf3617/O316/fn12yCGHZLfcckv21FNPZQcffHC2Y8eO/P0nnnhi/g9nR3T55ZdnkydPzsfEgbZGRfupoRUVFXHUUUfFbbfdFhG7Xkr561//Gp///OcjImLRokWtrrqZy+XixBNPjAcffLBN5tsWWlpa4pJLLomPf/zjMWbMmBg6dGjMnTs3f/871+itNa2rq2uL6bapG2+8Ma677rro1Kn1u6GtUcTnP//5OPzww/O3a2pqIuIf14uxRnu+0u9DDz3UhrNqW9XV1fHpT386f7tXr15x/PHHR2lpaSxatCj69+/f6qWwQYMGdajfz2+3cOHCGDJkSBx99NH5bQfaGhVtTBx00EHxwx/+MKZPnx533HFH3H///TFnzpw46qijImLXO0be/gswYtd1LV544YW2mG6bWLp0abzwwgtx5plnxty5c+PrX/96XHTRRfknozXa5dFHH40Pf/jDMWDAgN3us0YRXbp0aXV73bp18dGPfjQ+8pGPRIQ1iti1BiUlJa3OyerZs2ds2LAhNm/e3IYzazvvfN5ERGzevDlqa2s9Z96moaEh6urq4oILLmi1/UBbo+SLVn1Q3/zmN+OZZ57Z4/1XXXVV1NbWxve///1YuHBh/O///m8sWrQof/+WLVvyJ4O9pbS09ID6wd7bGm3evDn69esXp556akREfPnLX47JkyfH7bffHiNGjNjjGm3bduBcL/+9PI/uv//++MEPfvCu91ujf/ysveW///u/Y/r06fnbHWGN9ub9XOm3o1q6dGmMHDkyKisrPWfe5tvf/nbcdNNNu20/0NaozWJixowZe33MvffeG3369Imf/OQnceGFF0ZNTU08+eSTUVlZuccrbx5IP9R7W6NLL700/vznP7fadvrpp8eSJUsiYs9XJ+1Ia3TNNdfE9ddf3+qPwNtZo9b++te/RlNTU5x99tn5bR1hjfbm/VzptyPauXNn3HvvvXHLLbdExK712rp1a6vHdLTnTETEfffdFzU1NXHEEUfsdt+BtkZF+zLH5s2bY/z48XHaaadFSUlJ3H333VFZWRnf/e53I2LXlTcbGhpafc+GDRuiurq6LabbJsrKynY7EtOrV6/8k9EaRdx8881RVVUVuVwucrlczJ8/P+bPn5//bBhr9A/bt2+PO++8M2644YZW262RK/3uzYwZM+Jb3/pW/miN58wud911V5x33nn53z8XXnhhvPLKK5HL5WLNmjUH1BoVbUysWrUqmpqa8r/0O3XqFKNHj441a9ZERMTnPve5VlfdbGlpib/85S8d6sqbp59+etTX17d6Qm7atClOO+20iNh9jTZu3BgbN26MYcOG7fe5tpWnn3661deIESNixIgR8fTTT0eENXpLc3NzTJs2LSZOnBidO3eOiF0XoIuwRhGu9PvPzJkzJ84666zo06dPREQ0NTXFyJEjY8WKFa2O5nTE9Zo9e3ar3z+TJ0+OI488Mp5++umYNm3aAbVGRRsTJ5xwQnTt2rXVD+/zzz+ff223trY2Dj744PxrwQ8++GCccsopMXTo0DaZb1sYPnx4DBkyJL7//e9HxK4f4qVLl8bYsWMjIuKCCy6Il156KdavXx8Ru14Lv/TSSzvUh62ddNJJrb4qKiqioqIiTjrppIiwRhG7QuKSSy6Jfv36xeOPPx6LFy+Oe+65J6ZMmRIR1ijClX73ZNasWVFfXx/r1q2LxYsXx4IFC+Liiy+OwYMHxymnnBKLFy+OiIjly5dHSUlJnHvuuW084/2rf//+rX7/HH300dGlS5c46aST4tRTTz2g1qggV8DcV55//vm44YYbYtCgQbFjx47o3r17jB8/Pn9/fX19TJo0Kfr06RONjY0xffr0KCsra8MZ73/r16+PK664Iqqrq2Pjxo3xxS9+MU4//fT8/U899VTMmDEjevfuHblcLqZOnZr/P8+O6K0zqt9+BcyOvkajR4+Oe+65Z7ftP/vZz2LkyJERYY0i9t2VfturuXPnxkUXXbTb9m984xtx6623RkNDQ1x99dVx5JFHRkNDQ3znO9/Z48dXdxTz5s2LG264IVavXh0RcUCtUVHHBABQ/Ir2ZQ4AoH0QEwBAEjEBACQREwBAEjEBACQREwBAEjEBACQREwBAEjEBxDPPPBNf/vKXY8yYMftlf1u2bIlJkybFf/zHf8QJJ5wQjz76aPTu3Tv/SZxA+yImgKioqIj6+vrYuXPnXh+7du3a+Nvf/pa0v0suuSTOPPPMeOCBB2LQoEExb968OOuss/KfOhmx60OPgPbB5bSBiIgYNWpUlJSUtPrckndz7bXXxuWXXx79+vX7QPvZsWNHlJeXx8qVK6OqqupdH5NlWXzxi1+MH//4xx9oH8D+5cgEEBERJSV7/3Xwm9/8JmbOnJm0nw0bNsTOnTvjoIMO2uNjJk+eHH/4wx+S9gPsP53aegJA29i2bVuMGzcuunTpEv/3f/8X9fX1MXDgwGhubo7x48dH165dY8WKFdGjR4+YN29eNDY2xv/8z/9Ec3NzTJo0KT7+8Y/HuHHj4j//8z+joaEh1q5dG42NjfGjH/0oDj300Hfd5y9+8YuYP39+RERMnDgxjjzyyLjxxhvjrrvuiltuuSVeffXV+POf/xxLly6NjRs3xmWXXRa1tbVRW1u7H1cGeN8yoEO68MILs//6r//KsizLGhsbsyOOOCIbPXp0Nnfu3OwTn/hElmVZtnXr1qy0tDSrq6vLsizLXn755SwispdffjnLsiz77W9/m/Xu3TvLsixraWnJ+vTpk91xxx3/dL/vHGPjxo3ZtGnTsrf/OvrBD36Q9e3bt3D/WGCfcmQCOqBVq1bFPffcE5s3b46IiLKysqipqYmIiOrq6hg1alRERHTq1CkOPfTQaGhoeNdxjjrqqLj88ssjIqKlpSV69eq1x8fuSUVFRfzrv/7rB/yXAMVATEAHtHTp0ujevXuUlZXlt731TopPfOITMXDgwLj55ptjx44d0dLSEi0tLe86znHHHRfXXHNNzJo1K9avXx/btm3LP7apqanVu0O6du26x/Mk/tn5E0DxcwImdEANDQ2xdevWaG5u3u2++vr6GDFiRJxzzjlx3XXXRbdu3fY4zqZNm+Kss86KoUOHxuTJk6NXr175+y699NIoKyvLf/3ud7/bJ/8WoO05MgEdUFVVVTQ3N8eyZcvitNNOy2/Psixuuumm+Ld/+7c45phjdvu+XC7X6vZtt90Whx9+eHzsYx/b7bGTJk2Kiy++OH974MCB73l+79wPUNzEBHRAw4cPj6OPPjquvPLKqKuri86dO8fy5cvjkEMOiSOOOCKWL18eL7zwQixZsiT+9re/xZo1a+KJJ56IY489NiIiXnzxxfjLX/4SjY2N8dhjj8Wzzz4bK1asiPr6+qiuro5ly5bFySefHP/yL/+y276bmpoiYte7Sd7y1hGS5ubmOOigg6Jbt26xYcOGeO211+LZZ5+NT33qU/thVYAPyssc0AGVlpbGwoULI5fLxXHHHRcTJkyIE044IY455pi46qqrYv369VFbWxv9+/ePT3/60/HQQw9FVVVVfOhDH4ovfelL8ZWvfCU6d+4cX/va16Jbt25x9tlnRy6Xi3PPPTceeeSR+PCHP/yu+62vr48bb7wxIiK+973vxeOPPx7r1q2Lu+++OyIipk+fHs3NzXHGGWdEVVVVnHHGGVFdXb3f1gX4YFwBEwBI4sgEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAAScQEAJBETAAASf4f2Uj0UtwmH54AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.optimize import curve_fit # just to remind you\n", "\n", "# p0 is the initial guess for the fitting coefficients (A, mu and sigma above, in that order)\n", "# for more complicated models and fits, the choice of initial conditions is also important\n", "# to ensuring that the fit will converge. We will see this later.\n", "\n", "param_names = [\"norm\", \"mean\", \"width\"]\n", "p0 = [contaminated_pulse.max(), 5., 1]\n", "\n", "coeff, cm = curve_fit(gauss, time_axis, contaminated_pulse, p0=p0, sigma=errors)\n", "coeff_error = np.sqrt(np.diag(cm))\n", "flux_fit = gauss(fine_time_axis, *coeff)\n", "for name, param,error in zip(param_names, coeff, coeff_error):\n", " print(\"{0:8s}: {1:6.2f} +- {2:6.2f}\".format(name, param, error))\n", " \n", "fig,axes = plt.subplots(2,1, sharex=True, figsize=[8,6])\n", "axes[0].errorbar(time_axis, contaminated_pulse, errors, fmt='o')\n", "axes[0].plot(fine_time_axis, flux_fit,\"--\")\n", "\n", "residuals = contaminated_pulse - gauss(time_axis, *coeff)\n", "axes[1].errorbar(time_axis, residuals, errors, fmt='o')\n", "axes[1].plot(time_axis, np.zeros(len(time_axis)), '--')\n", "\n", "for a in axes:\n", " a.set_xlabel(\"t (ns)\")\n", "axes[0].set_ylabel(\"V (mV)\")\n", "axes[1].set_ylabel(\"data - fit (mV)\")\n", "plt.show()\n", "plt.hist(residuals, bins=20)\n", "plt.xlabel(\"data-fit\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f98d3ecc", "metadata": {}, "source": [ "So it looks like our fit did a poor job, there is still a lot of structure in the residuals, and we can tell by eye that the fit simply didn't converge. We use the $\\chi^2$ test to measure the distance the data points are away from the fit. In this case, it can be calculated as follows:\n", "\n", "$$ \\chi^2 = \\Sigma {(y_i - f(x_i))^2 \\over \\sigma_i^2} $$\n", "\n", "where $f(x)$ is your model (i.e. the function you are fitting), is the $x_i$ independent\n", "variable and $y_i$ and $\\sigma_i$ are are your measurements and their uncertainties.\n", "\n", "Don't forget the degrees of freedom. Generally, the number we want to quote is the \"chi-square per degrees of freedom\" \n", "($\\chi^2$/NDF), which takes into consideration the number of data points going into a fit. If\n", "you have more data points than you do paremeters in your model, in general you will\n", "produce a better fit. The number of degrees of freedom is calculated as\n", "\n", "$$ NDF = k - n_p $$\n", "\n", "where $n_p$ is the number of parameters in your fit. So, if we were fitting a straight line\n", "(2 parameters, slope and intercept) to a set of 10 measurements, we would have 8\n", "degrees of freedom." ] }, { "cell_type": "code", "execution_count": 14, "id": "e9af8b8b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "chisquare/NDF = 457.36 / 61 = 7.50\n" ] } ], "source": [ "def calc_chisquare(meas, sigma, fit):\n", " diff = pow(meas-fit, 2.)\n", " test_statistic = (diff / pow(sigma,2.)).sum()\n", " return test_statistic\n", "\n", "TS = calc_chisquare(contaminated_pulse, errors, gauss(time_axis, *coeff))\n", "NDF = len(contaminated_pulse) - len(coeff)\n", "print(\"chisquare/NDF = {0:.2f} / {1:d} = {2:.2f}\".format(TS, NDF, TS/NDF))" ] }, { "cell_type": "markdown", "id": "813e803e", "metadata": {}, "source": [ "This isn't a great, we expect a good fit to have\n", "a $\\chi^2$/NDF of about 1 -- this means that all data points lie within ~1 error bar of the fit\n", "vale. If a $\\chi^2$/NDF value is too small, it usually means that our errorbars are too large;\n", "conversely if the errorbars are too small we can end up with a huge chisquare, so this\n", "must all be taken with a bit of a grain of salt.\n", "\n", "Firstly, we are fitting a simple Gaussian, which doesn't account for the offset from\n", "zero away from the pulse -- this is because we have a pedestal, which can be\n", "thought of as what is seen by the electronics even when there is no signal.\n", "One way to handle this is to subtract off the pedestal, but how do we compute it?\n", "If we make some assumptions (e.g. our signal arrives somwehre around the middle of\n", "our data) then we can calculate the pedestal and subtract it from our data, which\n", "should help the fit significantly.\n", "\n", "Locating sky or background is a key problem in astronomy." ] }, { "cell_type": "code", "execution_count": 15, "id": "cc9f24b2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ True True True True True True True True True True True True\n", " True True True True True False False False False False False False\n", " False False False False False False False False False False False False\n", " False False False False False False False False False False False False\n", " False False False False False False False False False False False False\n", " False False False False]\n", "[0. 0.25 0.5 0.75 1. 1.25 1.5 1.75 2. 2.25 2.5 2.75 3. 3.25\n", " 3.5 3.75 4. ]\n", "[-37.43354836 -24.77493075 -20.82949882 -12.96661915 -23.46500515\n", " -25.99335379 -36.28606425 -31.94412877 -11.56661813 -36.37735322\n", " -25.65152835 -33.93536904 -21.32002829 -32.02783024 -34.96363066\n", " -27.14254406 -20.58796086]\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "slice_condition = time_axis <= 4\n", "pedestal_area = time_axis[slice_condition]\n", "\n", "# We are selecting a view of time_axis where time_axis is <= 4 (basically one edge)\n", "# this turns returns a truth table that we can use to slice out relevant data from our signal:\n", "\n", "print(slice_condition)\n", "print(pedestal_area)\n", "\n", "pedestal_values = contaminated_pulse[slice_condition]\n", "print(pedestal_values)\n", "plt.figure(figsize=[8, 6])\n", "plt.errorbar(time_axis[slice_condition], contaminated_pulse[slice_condition], \\\n", " errors[slice_condition], fmt='o')\n", "plt.xlabel(\"t (ns)\")\n", "plt.ylabel(\"V (mV)\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "id": "54317ccf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pedestal: -26.90\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Now we can manually compute the mean pedestal, subtract it off of our data, and plot it:\n", "\n", "pedestal = pedestal_values.mean()\n", "print(\"Pedestal: {0:.2f}\".format(pedestal))\n", "ped_subtracted_pulse = contaminated_pulse - pedestal\n", "\n", "plt.figure(figsize=[8,6])\n", "plt.errorbar(time_axis, ped_subtracted_pulse, errors, fmt=\"o\")\n", "plt.xlabel(\"t (ns)\")\n", "plt.ylabel(\"V (mV) (pedestal-subtracted)\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "id": "6e345da1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "norm : -116.02 +- 5.59\n", "mean : 6.50 +- 0.04\n", "width : 0.73 +- 0.04\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAG4CAYAAABILZ2zAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAAxOAAAMTgF/d4wjAABixUlEQVR4nO3deVhU9f4H8PfMAIMIKIioiCmiImCuLVbuS66lldlVW6w0S7xpi2la5tWs+6vUMrdMLcv0em+mmZilaZmmaWWagCLuSiqgssPAzPn9MTIwLDPDzJw5y7xfz+NTnDNzzucs8z2f73LO0QiCIICIiIhIRbRSB0BERETkbkxwiIiISHWY4BAREZHqMMEhIiIi1WGCQ0RERKrjI3UAUjOZTEhPT0dQUBA0Go3U4RAREZEDBEFAbm4uIiIioNVWba/x+gQnPT0dzZo1kzoMIiIicsKFCxcQGRlZZbrXJzhBQUEAzDsoODhY4miIiIjIETk5OWjWrJnlOl6Z1yc4Zd1SwcHBTHCIiIgUpqbhJRxkTERERKrDBIeIiIhUhwkOERERqQ4THCIiIlIdJjhERESkOkxwyGnFpUYs3JGK4lKj1KEQERFZYYKjMHJKKgylJnzww0kYSk1Sh0JEDpBT+UEkNiY4CsOkgohqYi+BYflB3oQJDhGRSigpgWFrEomNCQ4REXmckpIxUiYmOERERCQKKVvqmOAQERGRKKRsqWOCQ0Rej+NBiNSHCQ45LSU9x+q/RErF8SBE6sMEh5ySdCkbCev/AAAkrP8DSZeyJY5IPKzdExEpDxMcmbF3MZVLq8mO5CvIyDUAADJyDdiZctUj65Ui2WDtnmyRUwJsr3yQS/lB4nHlfJTTuewOTHBkxtbFVE6tJv3jGqFhkB8AoGGQH/rFhntkvUw2SG5snZOevGDYKx/kVH4ATLbE4koZqbbylQmOgthrNfFkYRrftB6WjOoMAFgyqjPim9YTfZ1ESuPJC4a98kGqVtfqyC3ZskdtLRveggmOgthrNfF09h0bEWz1XyKSjr3yQaxWV2cu/nJKthyhtpYNT5KypY4JjgScrQ2w1YSIamKvfBCr/HDm4i9VFzc5z9Z1q6Z5UrfUMcGRgCu1AWdbTeTWxCq3eMi7SVHLFOM3YK98kEurKytrymPrulXTPKlb6pjgeAm5NbHKLR4mXN5Lqlqm3H4DniZWssXfsnxI3VLHBIcIvNh4M6lrmdXhRdp5Svote/o4e3p9UrfUMcGRGd46aZsU+8fZdfIipQyu1jLFOCeVdJEm54lxnG2dj/bWJ8a5LGW3KBMcGZF6QJbcSbF/XFknL1LK4Eot0975wQqLcqihQuJKeaXG6w8THBmRY1O5nEixf3hMvIOztUxb54caLxhqZqtCopRE1ZXySo1lHRMcGZFjU7mtWo2fjxaT+7aGn49nTiN7+0eMGpjUg+RI3mydH2q8YHgjJSWqrpRXaizrVJ3gvP322xg/fjzGjBmDXbt2SR2ORU2JiCNN5TUlFWL9CG3VavQ+OrzQvw30Pjq3rMsee/tHjC4hqQfJkbzZOj+kuGDYq3SIUSlRSuuGs5SUqLpSXrnyXbmeA6pNcBYvXoyTJ0/i448/xqpVqzBx4kScOnVK6rDsJiL2msprSirs/QjldgLaisdWS4wUA9bk8uwQkqeazg8pkmN7lQ53V0qU1LrhLKW1bLhSXtn6bk1ltpzPAVUmOAaDAbNnz8YTTzwBAPD398eAAQMwb948iSMTrzZg60cotxPQXjxitMQo5S3tpC7OXDCUxJXyTKwubnfvV7bi2i6z5dzC5SN1AGLYt28fsrKy0K5dO8u0Dh06YPr06Z4NJOUboPB6+d8te6N/XCOs23cCV4u0CPc3op/mIFDQANAHA0fWwbfEiJG6JPgeuQp0HgUYi4Hkr8uXodEBncYAOX8DaTssk+P1QVgyqgfGr9iBj24zIP7K18AVAIGNseNcC+sTcNf3iO/eBGjRDTh/AMhMLV9+o3ZA085A2g9AziVLPNrMFkBkfLXbhPrNgCMbzLGWaTvUsk1Wbh2JHUfPV4pnB+IfG2HZprJ1+hwvBDqOALJOAef2AQB8S4zopb0E4F7g76PA30csi9YF3gIA0F48COSeAaAxz2jcDoaQOBzcvRnPhkYCfn6AVgc06QiERiHptx+RkJgPAJi09ld88uitiG/ZDLhxAdD5AkZfAIKDB53UqLjUiKW7T2Fi7+jatX4IN8+bohygIAcoLQJKCpGUWwcJGy8CACZ9vh+f9BUQH2oCwuOAsNY4cWgn2uIcUvf8D13CAdxyFxAaBSRtAorzypff+l4gqBFweC0gVKgQxD9gLiuOfWkdT8dHgcJrwIlt5dN86gDtHwaunwPO/FQ+PaAB0HYIcDUFuHiofHq9ZkB0b+Di7+ivPY51/kG4WqRDeIDGXLE6swe4frb88xGdgcbtgBPbgfzyi5++RTe80L8NcGwjYMivsE0DzNv0x+ew+t05sE1J13WY9HMQAB0S1v+BTx9qhviCg45tU9Nu6KBJM5e9vjePccO2QLM70K7kCEbqdqN9xlXghq7GbUKLbkBoS4e3KSWwN3Qowcmf1qNzQ/ccp7LyU3dWD7TtB1z8HbiaBAA4mQE0hoCU9BzcoUmqepzqx6CP9g/rfdCiG3Ykl1a9hgzvAQQ1Qn/tb1jnH2g+B/yN6BcdCBgKLMfJt8QIf0iTFKoywUlOToZWq0VISIhlWkhICDIyMnD9+nWr6WViY2Oh0ZgviC+++CJefPFF1wNJ+wG4ca787/A4xEc2w8fNvsOnp+pibOMMxKdfB4ruBnwDgKRN8DEJGKrNhM/xNKDDQ+bCLGlT+TJ0enOCk3/VenpQBGIHDsWt2rNof/kAcLXs4n4r+sfdaUmqGuny0a/wO+BSe/OPMf1PmFK34/y1QtwSWgdajdac4JzfD1z63RKP5kYvc4JTzTahfjPg+FbAUKHgbdEdxVo9/t7zxc3l3ownbjj6R/tj/d58XDHWNcdj2A1ghGWbLPvgVL45wblxzrKtPiYBXbV1zcvKOG4uSMp2zS3dAbSF7u8/gNM7YClIhJFASBx6ao/C9/APgEYwXwzufh4IjcKOvb8io9CcDF8tELDzt2RzgvNRd6DwOoIApOp1KMn4CWjcGvjySSAwHAhsbC602j8C+NWtcvgr1iTvaNnAap6zF0ynL7TkkrJWxXHdo6z3e1E2dKf3Y4D2EIB7zb+PX5cDuX8DuVfgH3kngFHQ718AHFwG+NYBfPyxo/6ryMhtAgC4WqjBzr17ER/6K3Dns0gqDsfE7wtxFc0x8ac8rG62DfHBEeYE5/g2mPKu4MK1QjQLDYC2aWfzOXjsK+sEp/UAc3JesYwAgI5jzBWUitPrhJgvnLl/W09v0Mp84cw6ZT292Z3mBOfKMcSnb8bHjUPw6fmGeOy2NubWjZ8PAWf3ln/eL9CcDJz9GbiaXD49pIU5GUj93jpJaNrFvE3Jm2vcJpMglJdZFbZpx9VOuFrUBcDNC3FSOuILHNympt3QVnvBXPZqb5ZXMYOBZndAl/47hmoPlM9zwzYlFYYi4UojGOGL5/b4Y3Xz7xBf55rLx6ms/NRdDDEnOFeOAcmbkVQYimfPDcBV1DUnfx1OIP76D9bHqX4M7tImw+f47+X7IKQF+sd1wLo9R3G1pE75NaQgDghqhPi/N+LjxvXw6fmG5mta2J3mRP5mjH6CgOd7zPTYzShWBBWaN2+eEBoaajUtMTFRACBcvHjRanp2drYAQMjOznZrDEUlpcKC708IRSWlVeblFBqE5tO2CjmFhlrNs8fWd389lSk0n7ZV+PVUpmrjcXbesYs3hNve/F5oPm2rcNub3wvHLt4wzzCZBKHUIORczxR6TF8p5OTmCoKhQBAOLBeEHbMFYdNzgvDFSEEoLRGES4cF4dOhgrD734Jw5mfh2Nkr1S/TgXhsceV4UM3s7VfL/Ozr5glXjwvCR70EYXZ9wfh+B2H9zPvN3/37L0E4+LEgJH8jCBd+E3IzLpi/V1BktbwazzlBEBZ+f0JoPm2r5d/7O1JrFaunSRFPTeu0tV/tcbZMcpa94+ysmmJ1ZH1ilNlisnf9VuUYnNDQUBQXF1tNKywsBIBqW2/EILeHvMltoKyc4qmxj12jMdcY/YNxTmgM+OjNNfA7JwD93gCGLwVGbwB0PkBwUyBuGJB5AvjyaezY8KFs+6WpKpvjQfKz4LfnbXzlNwuB70cD2ZeAoMbAnc8CU44hf8IhTC99xvzZxu2A28cBsUOByC4QAhuZp2uslyu3u6/Uwt54GTm99drTx9nV9cmpzHaUKhOc6Oho5Ofno6ioyDItIyMDkZGRCAgIkDAy5VHSQEhXYnX5xxvY0HxhG7EaeOk4+o+YYClMGmmz0c8vqXw8BslOjXcXCQLw+TDoLh/BOmNf5E84BNRrCvjXAzo8Yv5/J8np7ivA9kB8Z58x5cqzqZz9rq3fspzeeu3p4+yNg6VVmeD06tULYWFhOHSofBBZcnIyhgwZImFUjvH0w/NskdvdV7aIGWutj4lGg/iWkVgyqjM0MGFZz1LEH5wGrOxnHkhN8iYI5oH9u940t+I9vgWFI/+DL409IdRr5pEQpKgt22p1drZF2pWWbE+2gkvVaibGcbZVXtlbn5yuP+6gjq2oxNfXFy+88AK++uorAEB+fj527Njh+buonODph+fZItXtf7ZaYmr6AYoZq7PHJDYiGAK0aN1zFPD8H0D7kUDdhsD1s9BWvHON5OPS78Ang4DEl4H6zc3TAkJtfkVtFwVvpKbWDVeuIXK6/riDan+R06ZNg4+PDyZPnoyEhASsXLkSLVq0kDosRZGiVmOvJaamH6C9WCXvavOrax67o/MBzvyMgE/7YLrPOnZbyUlJEfDfsea7C5//A+j8mENfs3VRYPKjHLZaN6Q4jmJ0GXob1f7qdDod3n33XXzwwQf49NNPcc8990gdkujc/SOUolbjbEuMrVhl19XW+TEUPLkbQ3UH4PfTXGljIXNic/S/5kHk//wd6PMaoA+y+oizCbLaasTeSorjKEaXobdRbYIjZ2LVBpz9EdoqvF3pI3bmouBKq1FNscrxSZumBq3xmOFVaK+fAUqt7/izVTuTvCVKbUxG4KtxwK8fAUYD4ONX5SNyS5Dldg6wlYrkeg7IKxoVsVUIyalWJ1bhbW+5Nf0gxGg1kuNttynpOTgjNMHhOz8w30J8ardlXk21M7ldaBVPEIDEl4CMVGDM/8wtONWQU4Isx3NAivJMbkmeN7CVxMjpmlYRExwRyLEQ8vTgXHvLtfWDcPedBXIbQFjl/Ej+C9jwKPDXlza/J6cLrSpcPgqc2gU89pXNgcRiJcjO1Hp5DsizfPUGck1ibGGCIwI5FkLODs51ltxaTeR0e2SV8+NKEPDwGmDLP4HU72r8ntz2qaIVXAOadAASDgL1Im1+VKwE2ZnByWKeA2K0iriyzJq+a698tfVblqLlhwOCpcMERwRKuhCJVXjLrdXEHjFqJ7W6SLXuBwxbAmx9ESgprHZ5StunsvXXl8DSu8wvBPT1d+grnn4uTU3no1jngL1WEWcSA1daWmx91175WtO+k6rlx9aAYE+PXZHrWBmxeMdWepjSLkRiFd5KfLS3O9X6ItXuQWDiL4BvHdRF9UmOt+9Tl6X9YG4pG7YE8FPmU83FOAdstYo4mxi40pJt67vOlq9KallXy/qkxgRHJLwQkS01nh/+9aC9cgw79VOB4lwJIlOxqynAf58A7vvA3GJGFrZaRZxNDFxpybb3XWfKV3vLlFvrhq1WMw6ydow8jiSRQonRv24Kj8clIQx+B5e6bZkEIDTafLdU+5FSRyI7Yrz805WWbDFawe0tU06tG7ZazTjI2nFMcMgmudVqbJEiVlEeuKXR4K2S0eYEJ/ey+5brzf4+CuSmA83vkjoS2RLj5Z+utGSL0QqulJZ1W61mcuxqkyv5X7VIUnKq1dijpFhtSUnPwR9CGxxp/gRwNVnqcJTPZAK+TgCSt0gdiWIpJTFQC1utZkq6iUVqTHBIdpTUauRuFZufx5/rgyT/LnxflauObQQKrqG4y9O8XZcUwVarmdJuYpGS911BSPY8ecu23FRpft67F/jySYmjUrDSYmDXHKDPTBjgx/f3kGLYajVji5pj5F3ak0eIdfGXU1KhlO6rKs3Pt7UDTu4Ezu4FIK99qgiCCbhrEtD+EZcWI6f9LqdYyIzvj5Mn/kJEoqRCSKyLv1KSCik4/C6u6OZAtynA968BJhP3aW0U5wKGfODOCYDWtf0lp/0up1ikIrfyle+Pkyd5nB0qxEKIbKnVu7i6TgSKcoCMFE+GqHz7FgGbnpU6ChKBUspX3vEkLSY4RHLnFwAk/Ao0ipc6EuXIvQLsXwL0nCZ1JF7NlZYWMVppPN3ywzuepMUEh8gFHutf1/kCRzYAv30i7nrU4qd/A636AM1ulzoSxbB18Xc2MXClpUWMVhpPt/zwjidpMcEhcpLH+9frNgB2zgYKr4u7HqUTBMA3AOj7htSRKIqti79SuoTkiHc8SYcJDpGTPN6/Ht0XiOgI/LxA3PUondEADJgHhLW2msy7WUhJxGhR8zbcO0RO8nj/ukYD9J8LHFppHnRMVV38HVhyB2AssZrMu1lIadii5jomOEROkqR/vUl7YPJRwN97m7ttvuD0wBKg7VDzmKUKeDcLkfdhgkPkAjH61+02P+uDanyvkhhvN5ebGl9wWpQNHE8EOj9e5Tu8m4XExO5PeWKCQyQzdpufTSXApgnA5b+qzBLl7eZKceEQTI1vxcI/NVUSPN7NQmJh96d8+dT2C7/++it27NiBv/76CxkZGdDpdIiIiECXLl0wbNgwNG/eXIw4iaiMPgiIGwb8uQ4Y+LbU0chH637Ib3oPPpizC+O6R1VJEHk3C4mhuu5PJtDy4HALzvbt29GpUycMHjwY33zzDUpKShAREYFGjRohOzsbn3zyCW699VaMGDECZ8+eFTFkIkLH0cDRDUCpQepI5OH6WeCPzwBtretsRC6x1/3JO56k41Bp8Nprr6GgoADr169H27Zta/xcaWkp9u/fjzfffBMjRozAwIED3RYoEVXQvBvQ7iGgOAfwCZM6Gukd/gK4mgzEjZI6EvIyZd2fI1ccqLb7s6zLmTzPboLzySef4OGHH0aHDh3sL8zHB927d0f37t2xefNmHD16FO3bt3dLoERUgVYLDH5X6ijkwWQCjvwHGPRvqSMhL8XuT3my22bWu3dvxMfX/h04w4cPR/369Z2JiYgcYcgHlncD8jOljkRa5/YBJflAq/5SR0JEMmI3wWnRogVmzJjh1MJvueUWp75HpBSS9q/71QX8goC/vvT8uiVU5ZbcwHBg0DuAj5+EURGR3DhUKr/33nsYNmwYdu7cKXY8RIoi+RNFO44G/vzC8qfan8dR5ZbcC1lAWBvg1hESR0ZEcuNQgjNjxgx89NFHOH78OB544AG8+eabSE9PFzs2IrInfjiQlQZknPCK53FUuSV3z0/Aukcs820leLybhci7OPRLnzVrFho3boxJkyZh06ZNGDRoEN566y2MGTMGmzdvhtGo3qemEsmaPgiY9BvQMMYrXkdQ5ZbcvG+AFvcAsP/ANclb24jIoxxKcPz8rPu2u3TpgsWLF2PlypXIyclB9+7d8eqrryItLU2UIInIhqAmQOp36N+2gepfR1DxicRLh0Ui/so3QHtzC443JHhE5Din22pLSkqwadMmrFixAgcOHMDKlSuxevVqd8ZGRI5KfAnx+b96xesIym7FbVdwEGjZEwhqDIDvmyLpsPtTnhw6GufPn7f8/4ULFzBz5kw0a9YMjz76KIxGI9asWYOLFy/irbfeEi1QIqqBVgt0GAX8+YVXPY+jtP1o4JHyAdZ83xRJhd2f8uTQk4xnzpyJIUOG4D//+Q8SExPh5+eH0aNHY+LEiejUqZPYMRKRPR1HAUvuhKbAO56JE625BF3ad0C7oVbTvSnBIyLbHEpwvvjiC6xbtw6tW7fGu+++iyeffBL16rF2RCQboS2BO58FCq9LHYlHPKH7Hj4nG1VJcIiIyjiU4ERFRWHZsmW49957xY6HiJx171wIRSUAzkgdibhKi3G/7heUttsAPtqPiGri0Bic+fPnM7khkjtBQJ3/PoI2mgtSRyIqn7TvcUMIhDHyTqlDISIZcyjBGT58uEMLW7NmjSuxEJErNBoIOj36a3+XOhJRmQIb4Z3SRwCNRupQiEjGan1P2/79+zFw4EDExMSgZcuWln/NmzfH+PHjxYixWnPmzIFGo7H8O3TokGXeyZMnMXr0aEyaNAmTJk1CcXGxx+IiklJpqwHor1N5ghN5B7aZukodBhHJnENjcCp66KGH0LVrV7z88stWDwA0mUxYt26dW4OrSVFREf744w8sXLgQAFC3bl3cfvvtAID8/HwMHjwY3377LVq1aoXFixdj8uTJWL58uUdiI5KSNmYA2n/7IkqKMgD/CKnDcb+0nQg4uAqT+/6LzxwhIptqneD4+/tj5cqVCA0NrTLvrrvucktQ9nz66aeYNGkS+vXrV2Xe8uXLERkZiVatWgEARo8ejYYNG2L69Olo0aKFR+Ijkoq+fhNgwm7og1T6kLvj26Cr1xQv9G9T7Ww+cI2IytS6FPjoo4+wdevWaucdP37c5YDsMZlMWLBgAYYPH46HHnoIJ06csJq/ZcsWtGvXzvJ3aGgomjZtisTERNFjI5KFRrcCN85JHYX7CQKQ+h0QM7DGj/CBa0RUptYJzi233IKPP/4Yffr0sfrXq1cvPP3002LEaKWwsBDz5s3D1KlTcejQIXTp0gU//PCDZX5ycjLCwsKsvhMSEoLU1FSby42NjUVkZCQiIyOxYMECUWIn8ojME8Cye4CSQqkjca8rSUDRDaBFd6kjISIFqHUX1f333w+9Xo8hQ4bA39/fMl0QBOTk5Lgc0EsvvYQjR47UOH/KlCl4+OGHAQBTp07FsGHD8NRTT+H06dPQ6XTIzs6u0n2m1+tRUFBgc70pKSkIDubTT0kFGrYFAhsCZ/YAbQZIHY37NIoHntsH+OiljoSIFKDWCU5eXh727t2Lhg0bVpk3ePBglwOaP3++w58NCAjA559/jqioKKSmpiI2NhahoaFV7poqLCxESEiIy7ERKYJGA7QZBJzYpq4E59IfQJP2UkdBRApR6y6q//u//8Phw4erX5jW8wP7GjdujLi4OEtSEx0djcxM6/fxZGRkICYmxuOxEUmm7WAgL0PqKNwn9zKwqj9QeEPqSIhIIWrdgnPmzBmsW7cOBw4csJpuMpmQmJho9TwaTzAajfDz88Ott94KABgxYoTVIOisrCxkZWVhwAAV1WSJ7GnZy/xPLU5+DzTtYu56IyJyQK0TnN9//x1JSUnIy8uDTld+p4LRaLQ7kNcddu7cib1792Lq1KnQ6/WYMWMG3nzzTUssY8eOxfvvv48rV66gUaNGWLt2LSZMmIDIyEjRYyOSlXO/AHlXgPgHpI7EdSe227x7ioioslonOFOnTkVYWFi1XT6euhV7xYoVWLJkCbp27YpZs2ZZHvIHmO+Y2rhxI6ZMmYKIiAhoNBrLAwGJvMqNC8D+xcpPcAQBEExAjOtj/IjIe2gEQRBsfeDHH39Er169ar1gQRDw66+/omtXeT9SPScnB/Xq1UN2djbvoiJ1KbgGvNsKmPIXUK+p1NEQEbmVveu33VHBpaWl+Pzzz2u10mvXrmHWrFmIj4+v1feIyI0CQoFmdwKp30odiWsOrQTO7Zc6CiJSGLtdVP369cOWLVvQv39/DB06FD169EBMTAwCAgKsPnf58mX89ddf+P7773Hq1CksX74cQUFBogVORA7o/iLgV1fqKJwnCMDPC4Bhi6WOhIgUxqH7uu+//3588cUXOHv2LPr06YOgoCAEBwejcePGaNCgAfR6PZo2bYqXX34Z7du3x8aNGxEertJ34RApSev+QPO7zYmCEl0+ChRlA827SR0JESmM3TE4lZWWluLAgQNISkpCVlYW6tSpg8aNG+Ouu+5S5MssOQaHVG/Do0CHUShuNRBLd5/CxN7RynlX04//B1w5BjxSu25yIlI/e9fvWt9F5ePjg27duqFbN9aoiBShfnPgxDYYWtyLD344iXHdo5ST4LTsCUT3ljoKIlIgzz96mIg8K2aQ+S3cgknqSGrHZDQPkm52h9SREJECMcEhUrtmXQFjCbR//yl1JLVz+HPgy6ekjoKIFMqhBKe0tFTsOIhILDof4LlfYGrSSepIHFZcasSpvV+iNLyd1KEQkUI5lODMmDFD7DiISEyB4dBdOih1FA4zFOYj4tqvKG55r9ShEJFCOZTgvPfeexg2bBh27twpdjxEJIaSAtRZNxyRmqtSR+IQ3aVDyBDqwRRW9ZUwRESOcLgF56OPPsLx48fxwAMP4M0330R6errYsRGRu/jXg7HZXein/UPqSBxibNEDQw3zAI1G6lCISKEcSnBmzZqFxo0bY9KkSdi0aRMGDRqEt956C2PGjMHmzZthNBrFjpOIXHS04RBkCwFISc+ROhTbBAG6tO9QAH+pIyEiBXMowfHz87P6u0uXLli8eDFWrlyJnJwcdO/eHa+++irS0tJECZKIXJN0KRsTDrfAJlMPJKz/A0mXsqUOqWZ/H0Gdb54F226IyBVO3yZeUlKCTZs2YcWKFThw4ABWrlyJ1atXuzM2InKTHclXkJFvbmnNyDVgZ4qMx+KkfofSqD4oqf1zSImILBxKcM6fP2/5/wsXLmDmzJlo1qwZHn30URiNRqxZswYXL17EW2+9JVqgROS8/nGN0DDI3BIbri9Fv1gZvysu9VuURvPuKSJyjUMJzsyZM/Gf//wHw4cPR8uWLfH+++/jvvvuw++//479+/fjscceg16vFztWInJSfNN6WDKqM5riKlbpFyC+SZDUIVXPWAoEN4Uxuq/UkRCRwjmU4HzxxRcYM2YMjh8/jnfffRfp6en4+OOP0amTch4cRuTtYiOCcQWhaKc5A6Qfljqc6ul8gH98geQb5tYm2Q+IJiLZcijBiYqKwrfffovjx49jypQpqFevnthxEZEISuGD0pZ9gNTtUodSvR/mIumPX5Cw3nw7u+wHRBORbDmU4MyfPx/33ss+cSI1MNzxHNCqn9RhVFVSCBxYih3nTcjINQBQwIBoIpIthxKc4cOHixwGEXmKqUln8xu6jTJ7x9zZvUBAGPrf1s4yILphkJ+8B0QTkWzxbeJE3ujLJ81v65aTE98CbQYgPrI+lozqDABYMqoz4puyS5yIao8JDpE3atIRSP1O6iisdRoD3PEMAPOA6Ir/JSKqLSY4RN6ozUDg9I/mcS9yUFIINOkENGwjdSREpBJMcIi8hJ+PFpP7toafjxZoGAMEhgMXDkodltn+xcDXCVJHQUQqwmehE3kJvY8OL/Sv0ELy7M+Av0zGt6R+B3QZK3UURKQibMEh8lY+dYDj2wBBkGT1xaVGLNyRiuLsy8ClP4DWfBQFEbkPExwiryUAG8cBV45JsnZDqQkf/HASxvMHgaadzV1mRERuwgSHyFv56IHo3pI/1djYehAwdpukMRCR+jDBIfJmbQZKeru4H0rgc+y/gMa6KLIaEE1E5ASWHkTerPW9QHAEYDJKsvo7tSnQ//QmoNVZTS8bEK330dXwTSIi25jgEHmzoEbAyM+qJBjuYBlEXFpz8tRHexilre4FNBq3r5+IvBsTHCJvd/4AsGue2xdbNojYUGqq/gOCgH7aP1AazbuniMj9mOAQeTvfOsCBpUCpwbPrLSnAflMcjM27e3a9ROQVmOAQebvG7QF9EHBun2fX61cXr5ROMCdYRERuxgSHyNtpNDC2Hoij339mc7yMu5363+sIRxZS0nM8tk4i8h5McIgIhbc9i1fPd6l5vIybJZ1IxTNJ8biKBkhY/weSLmV7ZL1E5D2Y4BARhNBopAjNocm77JH17djzM64iFACQkWvAzpSrHlkvEXkPJjhEBAAYpdsF/83jxF+RyYj+19YjvI75HVgNg/zQL5avaSAi92KCQ0QAgETjndD9fRjIPCnuirQ6xI/9AIsfux0AsGRUZ8Q3lclbzYlINWSd4CQnJ2PEiBH47LPPqsw7efIkRo8ejUmTJmHSpEkoLi62mv/JJ5/giSeewNixY7F+/XpPhUykWDcQhNI2g4E/qv7enFE2eLjKIOLzvwJhbRAbYe6iio0Idsv6iIgqkm2Cc/nyZRw+fBhff/01TCbrgY/5+fkYPHgw5syZg8WLF6Nt27aYPHmyZf4333yDtWvXYs2aNVi9ejUWLVqEffs8fAsskQKVdHgMyL7g8nKSLmUjYf0fAGA9iDj7EvDpECDXM2N9iMh7yTbBady4McaMGYPw8Kp988uXL0dkZCRatWoFABg9ejQ+/vhjnD17FgAwY8YMPP744wAArVaLkSNH4vXXX/dY7ERKZWzRA3j4U5eXsyP5CjJyzQ8OtBpEfHit+Q3m9Zu5vA4iIltkm+CU8fX1rTJty5YtaNeuneXv0NBQNG3aFImJiThz5gyOHTtmNb9Dhw748ccfkZub65GYiZTGqjvpShLww1yXltc/rhEaBvkBqDCI2GQ0d391GetquEREdsk+walOcnIywsLCrKaFhIQgNTUVycnJAGA1PyQkBIIgIC0trcZlxsbGIjIyEpGRkViwYIE4gRPJUJXupGw/YN8HQPZFp5cZ37QelozqDKDCIOLC60Dzu4DWA9wSNxGRLT5SrPSll17CkSNHapw/ZcoUDB06tMb52dnZCA0NtZqm1+tRUFCA7GxzX3/F+Xq9HgBQUFBQ4zJTUlIQHMzBjuR9qnQnnQfio/sAf64Der7i9HLLBg9bBhHXDQMeWulyvEREjpAkwZk/f75L3w8NDa1y11RhYSFCQkIsiU1xcTGCgoIs8wBzSw4RWesf1whfHDyHjFxDeXdS08eB7a8C3V8GtDU39BaXGrF09ylM7B0NvY+u5pXk/A1sfBp4bDPg4+f+jSAiqkSRXVTR0dHIzMy0mpaRkYGYmBhER0cDgNX8jIwM+Pn5oUWLFp4Mk0gRqu1OajMAuG+h3e8aSk344IeT9l/x8Oda80s1KyQ3fj5aTO7bGn4+iiyGiEjmFFmyjBgxAocOHbL8nZWVhaysLAwYMACtW7dG+/btreYnJyejd+/eCAgIkCJcItmr0p2k8wWi+wLZ511fuGAyDy7u/ITVZL2PDi/0b2O75YeIyEmyT3CMRmOV5+CMHTsWaWlpuHLlCgBg7dq1mDBhAiIjIwEA06ZNw1dffWX5/v/+9z/Mnj3bo3ETKd6Nc8Di24H8LJcWozu3FygpAmIGuSkwIiL7JBmD44js7Gx8/vnn+Pvvv7FhwwbExMTgnnvuAWAeS7Nx40ZMmTIFERER0Gg0WLiwvDl99OjRuHDhAp577jkYDAZMnz4dXbt2lWpTiJQppAUQeTtw9D/AXQlOL8bYvBswbqe5VYiIyENkm+DUq1fP8hqG6tx22202X8Ewbdo0sUIj8h6dHwf2LgS6TgQ0mlp/PRQ50F06BLTqJkJwREQ1k30XFRFJKPZ+wL8+UFD7bio/Hy0WxfwF/33vuj8uIiI7mOAQUc38AlD8xDa8v+8qig2GWn1Vr9WgW842aG8bK05sREQ2MMEhIpsMpSb47nkb2s3PAsZSx7/4zT/N3VoxQ8QLjoioBkxwiMjuM2lWlw6CNiMZ+GocYCyxTLd6h1Vlbe8DntzOB/sRkSSY4BCR3WfSZKEeCkdtAjJPAt9MAVDNO6wuZQMF14DPhgOX/wJiBgJBjTy0BURE1mR7FxURyYsQEAY88Y35+Tio5h1Wf6Yh/mwC0CAaaNBaylCJiNiCQ0S1EBAKRHQCUr9D/wsfoGGgufspPNAH/ZKmA5G3AQ+vAXz9JQ6UiLwdExwiqr1mdyC+NBkrw/8LHUqxeHRnxA+aANz/IaBjwzARSY8JDhHVXp0Q4PHNaCek4Tf9RMQ2DgRuHeHUwwCJiMTABIeIbKrxTin/eigY9RVGGmYBWrbaEJG8MMEhohpVe6dURX6BOClEShAZEZFtTHCIqEZV7pRKuSpxREREjmGCQ0Q16h/XCA2DzHdKNQzyQ7/YcIkjIiJyDBMcIqpRfNN6WDKqMwBgyajOiG9aT+KIiIgcwwSHiGyKjQi2+i8RkRIwwSEip9l7hxURkVR4bycROa3sHVZERHLDahcRERGpDhMcIiIiUh0mOERERKQ6THCIiIhIdZjgEBERkeowwSEim3grOBEpEW8TJyKbeCs4ESkRq2RERESkOkxwiIiISHWY4IhowYIFUocgOm/YRsA7tpPbqA7esI2Ad2wnt9E1GkEQBNGWrgA5OTmoV68esrOzERzs3pcJRkZG4uLFi25dptx4wzYC3rGd3EZ18IZtBLxjO7mNttm7frMFh4iIiFTH6++iKmvAysnJEWXZYixXTrxhGwHv2E5uozp4wzYC3rGd3Ebbyr5XU0eU13dRXbx4Ec2aNZM6DCIiInLChQsXEBkZWWW61yc4JpMJ6enpCAoKgkajkTocIiIicoAgCMjNzUVERAS02qojbrw+wSEiIiL14SBjIiIiUh0mOERERKQ6THCIiIhIdZjgEJFqpKam4pNPPnH6+3v27MH333/vxoiISCpMcIhIEZKTk23OP3PmDFasWIEnn3zS6XX06NEDZ8+exddff+30MohIHpjgEJHsJSUl4csvv6xxviAIGDduHF555RWX1zVu3DgsWrQI6enpLi+LiKTDBIeIZC0nJwejRo2CyWSq8TNff/01AgMDER4e7vL6tFotRowYgXfeecflZRGRdJjgEJGsff7558jMzMTWrVvx7LPPIisrq8pnVqxYgR49elj+Pn36NBISEjBkyBDs27cPbdu2RZMmTfDLL79YPvPhhx/i9ddfx/Dhw+Hr62u1vHvuuQerVq2CwWAQb8OISFRMcIhI1hISEtCmTRsMHToUy5cvR4MGDazml5aWYvfu3YiJibFMCwoKQk5ODlJSUpCcnIy9e/eic+fOmDt3LgDg/Pnz2LNnD+bOnYvNmzfj/vvvt1pmq1atkJeXhwMHDoi/gUQkCiY4RKRoaWlpKCoqQuPGjS3TGjZsiKioKERGRmL8+PEICwvDkCFDcOrUKQBAZmYmduzYgT179gAAXnzxRatlBgQEoH79+vjrr788tyFE5FZMcIhI0cq6rAICAqyma7Vaq/fTBAQEWLqcOnXqhLvvvhs9e/bEiBEjqn1RX0BAADIyMkSMnIjExASHiBStTp06AICSkhKHv6PRaLB161YsWbIEu3btQpcuXXDu3Lkqn9PpdG6Lk4g8iwkOEcmeRqOpcV5Z11ROTo7Dy0tKSsKlS5cwceJEHD16FHq9vspt6Hl5eYiIiHAuYCKSHBMcIpK9gIAApKWlITk5GefPn7eaFxERgVtuuQUXLlywml5SUlLl1nKj0QgAyM3NxeLFiwEAkZGRuOOOO9CqVSvL527cuIGcnBx06dJFjM0hIg/wkToAIiJ7xo0bh3HjxiE0NBSLFi2qMv/++++3GhB85MgRJCYm4uzZs9i4cSPi4+OxYcMGpKenY/Xq1YiLi8M777yD1NRUxMXFoV27dhg2bJjl+0lJSYiKikLHjh09sXlEJAKNIAiC1EEQEbni1KlTGD16NH799Ve3LG/OnDmoX78+nn/+ebcsj4g8j11URKR40dHRGDhwoFtelGkwGHDw4EE899xzboiMiKTCBIeIVGHWrFnYvXu3S7d2C4KA9957Dx9++GGVpxsTkbKwi4qIVMNkMmHHjh0YMGCAU98/cOAAoqKi0KhRIzdHRkSexgSHiIiIVIddVERERKQ6THCIiIhIdZjgEBERkeowwSEiIiLVYYJDREREqsMEh4iIiFSHCQ4RERGpDhMcIiIiUh0mOERERKQ6THCIiIhIdZjgEBERker4SB2A1EwmE9LT0xEUFASNRiN1OEREROQAQRCQm5uLiIgIaLVV22u8PsFJT09Hs2bNpA6DiIiInHDhwgVERkZWme71CU5QUBAA8w4KDg6WOBoiIiJyRE5ODpo1a2a5jlfm9QlOWbdUcHAwExwiIiKFqWl4CQcZExERkeowwSEiIiLVYYJDREREqsMEh4iIiFSHCQ6RghSXGrFwRyqKS41Sh0JEJGtMcIgUxFBqwgc/nISh1CR1KEREssYEh4iIiFSHCQ4RERGpDhMcchrHg5Ba8FwmUh8mOOQ0jgchteC5TKQ+THCIiIhIdZjgEBF5CXbFkTdhgqMwLKCIqCb2ygd2xZE3YYKjMCygiKgmLB+IyjHBISIiItVhgkNERB7H7nYSGxMcIhIFL2BkC7vTSGyKTXDOnTuHAQMGICgoCJ06dcLu3bst8woKCjB+/Hg8//zzePTRR3Hu3DkJIyXyTryAEZGUFJngCIKA8ePHo1+/fli6dCkEQcDQoUNx6tQpAMDjjz+O7t27Y9GiRZg2bRruu+8+lJSUSBw1EREReYqP1AE449ixY5g2bRr69u0LABgwYABatmyJrVu3olu3bkhMTMQXX3wBALj11luh0Wiwfv16PP7441KGTURERB6iyBacmJgYS3IDAOHh4YiLi4Ner8eWLVvQqlUr6PV6y/wOHTrgm2++kSJUIiIiryXlWDxFJjh+fn5Vpl2/fh1Dhw5FcnIywsLCrOaFhIQgNTXV5jJjY2MRGRmJyMhILFiwwK3xEhEReSMpx+Ipsouqsj179uDBBx9EZGQksrOzERoaajVfr9ejoKDA5jJSUlIQHBwsZphERETkIYpPcEpKSrB+/Xq8//77AIDQ0FDk5eVZfaawsBAhISESREdERERSUGQXVUXz58/HjBkzLGNuoqOjkZmZafWZjIwMxMTESBEekVuV3GzmLfHiW6/5fB0icoSiE5yVK1di4MCBaNasGQCguLgYDz74II4ePYri4mLL55KTkzFkyBCpwiRymckkYO7WZDyw7BcAwAPLfsHcrckwmQSJI/M8Pl+HiByh2ARn6dKlOH36NC5fvozt27fjq6++wrhx49CpUyd069YN27dvBwD8+eef0Gq1ePjhhyWOmMh587alYO2BcziXZR5Ldi6rAGsPnMO8bSkSR0ZEJE+KHIOzevVqJCQkAADefvtty/R//vOf0Gq1WLduHV544QXs27cPmZmZ2LZtG3Q6nVThErnEUGrCruNXUVypxaK41IRdx69g2sC28PPR3pxmxNLdpzCxdzT0Pjznich7KTLBeeqpp/DUU0/VOD8sLAyff/65ByPyThwP4hk3CgzIK6r+Sdx5xUbcKDQgPMgfQHn3zbjuUUxwaoHnMpH6KLaLiqTjbeNBpB7UWj/AD4H+vtXOC9T7oH6dqs+FIse441yW+vwgouoxwaFa87bxIFIPavXz0aJP23Dofax/rvqb0/18+DN2ljvOZanPD6KKXEm41Zass2SUGbmfYPbGg7CQF8fMwbF4tGtzNA8NAAA0bxCAR7s2x8zBsRJHplzeeC6zK079XEm41ZasM8GRGXsnmNQFlCPjQcQk9wRQLFqtBq8PjcOmiXcDADY9dzdeHxoHrVYjcWTKJfW5LIaaygdv61YmApjgKIZcCiipx4OorYZRW743u6N82S3lMk+cy55KyO2VD97WrUwEMMFRDLkUUBwPQmrhiXPZUwm5rfLBG7viiAAmOIogtwKK40GojNK7DNVwLtsrH67mFsmyK07q7vbaUPp57q2Y4CiA3MYKcDwIlbHVQqGEC5gazmV75YNGA1k9ZkAu3e214e1d40rFBEcBHB0r4OlaBseDUHWUeAFT8rlsr3xoGOgvq25luXS3k/op79fshRwdK8BaBskBL2Ce5Uj5IJeuOLl1t5O6McFRCLkUUES28AImDXvlg5hdcbVpOZZbdzupGxMcCTjTlaSGsQKkfryAScPR8kGMrrjatBxL/ZgJEoeta5qUY/GY4EjAla4kJY8VIPXjBUxaci8f+JgJdarumiaHsXg8m0gSvO1SnXgBI3vY3a5MtS2z5TAWj6WNl5BbQuENA6Llts89RewLmBJuP3eEt54f7G5XptqU2XIZi8cEx0t4Q0IhN966z8W6gMmhydudvPX8KCP37jRynlzG4vHMIoL31qbF5O4LmByavEn++FuWnlzG4jHBIQJr01KozYVILk3eJH/8LUtPLmPxmOAQqYiSxqfU5kIklyZvT2ErBCmdHAaTM8EhUgG1jU+pTC5N3p7CVgjv4OlE1pPrk8NgciY4RHYooVVE7eNT5NLkXR0lnB8kT55OZKVInKUcTM4ER2ZYWMqHUlpFvGV8ihyavCtSyvlB3sWVa4jarj8+UgdAZiaTgHnbUrAz5QoAc2HZL7YRZg6O5fMhJFLWKlKWOJS1igDA60PjpAzNiiPjU8KD/D0clfuVNXkn9IpG5zd3YtNzdyM0UC9ZPEo5P8g7uHINUev1hy04MqH2LgZ38VQNQ66tIn4+Wkzu29qqS8bR8SlqGbgqh+enyPX8IOcp/ffhyjVErdcfJjgywMLSPk93B8j1rh29jw4v9G8DvY/OMs3R8SkcuOo+jp4famvyVzMl/z5cuYao+frDBEcG5HoxlRNP1zDEvmvH3bVFuY1PUTt750ew3pfjc8hjXLmGqPn6wwRHBrztFtjakqKGIfZdO7Zqi84kP1LdkumtLRT2zo93vz+hyiZ/byX389yVa4iarz9McGRAzrfA2lLdeBAxSFXDkKpVxJWmck+NT1HbHUTOnMs1nR9T741RbZO/t1HKee7KNUSp1x9HKDdylXHHxVSMWoat1oTqxoOIQapBtHJ4UJVcqW1QojPnck3nR05RiWqb/L2Nks5zV64hau3iZoIjE65cTMWsZchh4J3Ug2jlcNeOnKh5UKIzKp8fam7y9yZKO89duYaotTLn1hI7LS2t2ulHjhyBySSvk0Gu7F1Mq2tKV1Itw1lqrWEokZoHJdakNq2Dcm7yF6NbWe7jU5yl1PPclQqZ2ipzbt2KBQsWVDs9PDwc//jHP9y5KkVzpUCo3JSutFqGs9Raw1AiT7RQyO2ZJLVtHZQqIbeXwLizW1kp41OcxZY4x8k1yXX5ScYpKSlYunQp8vPzsX//fjz11FNVPnP69GmcOHHC1VUpnhhPi/SWp9iWUVsNQ4nKWigqPsUXcG8LRVlCMa57lOhjvMQg1VOXyxIYT1D7k5w9cZ4rSXVJjNyfgOzyEYqNjcWsWbNw6dIlCIJQ5R8AtGvXDl9//bXLwSqdGF1JSq1l2Mr45VZ7p6rYZegYtSbk3tJyzPPcdkud3IdHuOVdVA0bNkRiYiI2btyIRx55xB2LVB17BcK0gW2dqhE4WsuQSxOiIxm/0mvvZeSyz8XgSAuFpx4joFRKPj/c0XKshPNDbu8/k0JNLXVGk4CfUjPcfk1zJ7et3cfHx2Zys337dnetSpHEHLBmq5Yht35yqTJ+T7YKyW2fi8lWC4WnHiOgNGo4P9zRcqyk80OtLXH22KqY/3D8CnJlPgjbpRac+++/Hz169MDLL78MALjvvvuQn59f5XNGoxFHjx7F9evXXVldrb399ts4ffo0CgoK8PTTT6NPnz4eXX9FZQVCRl7Vg+5qV5KtWsbcrcmy6ScXqxXL0XXbahVyZ21a7WMTyDVqOD/kPD5FyS1jcmOrYl5oMCLAr/rkVC7DI1xKcLp3746YmBjL3y1btsSlS5cQFxcHna58w41GI3JyclxZVa0tXrwYJ0+exOrVq1FUVISOHTsiMTER0dHRHo2jjCcKhMq1DCkTiurIcUC0uwfJyW2fy5k3XojUdH6UjUPZmXwF564VoHmDAMtvRwpyH/CqRLYq5kH+vujZJgzrD16QXZJbxqUEZ+fOnVizZg3uu+8+AMBLL70EnU6Hpk2bVvnsww8/7MqqasVgMGD27NnYuHEjAMDf3x8DBgzAvHnzsHr1ao/FUZmnCwRHE4riUiOW7j6Fib2jRW0uFrMVy1nurk3LMYlzhK1zwN3nhzdfiBw9P5SQ/MltfIoSW8bkfpztVcxnDo6FTquVTZJbmUsJTnZ2Nvbv32/5e/v27XjmmWeq/WxAQIArq6qVffv2ISsrC+3atbNM69ChA6ZPn+6xGAAApcXmfzdpdb7mAqFbBLr9ewc2PX0nQgP8AJMB0OoBQz5QXIxAFADFuYBPIODjBxTnAUKFH4BvAKDzAYoqtYqZ/AAI5u/CB/W1JgTqtcjIqxpaoJ/GnFAYS2HIz8GqH45g3B1h0Pv7AfpAoNQAlBYBxaXmeAz5gH/9KtsEnS/gWwcoKQSMFQpuHz2K4YMVO4/hme63QK/TwQ9AnzYNsPZGofWPRadBn5gwc8ZflFO+zuJcwK8eoNHe3CaUzxMEwGQ0x1WmuPTmfigFigrLp2u0APTwRall3wCAwaSxXZvu2xx+GmP5OkuLAfia12mqMJbHx99ynOprS23vc00RYPIFBKF8G8t+hvog83EuzrWe5x8MGEuBkgLrbap4nMoYbm5LabH1PtD5AvCBHgbrdfroAR89DAW55eeA3sdqmwxFhvJ5gcHW517ZvjEZAcGn/DhZDu7NbapwnOZtP421v/1tfSHafxYoNeD14R3N21ScV74PtHrAr275uVe2zpJCwN+32nMPPnqbx8mh35Nf3fJzr+I5qQ+x3qayeUDV42S4uX6jASgqtPubDNaVYu7WZOxM/hsamPDAkr3oF9MAMwe3hdbPHzDko7jEgJV7zmBcjyjo9XWd3yY7xwmAQ+eer9G8/b6mQgD6WpUR7jpOBiOwK+Xv6n/LyX9jWq+I8haFmrapmjICWp3l3LP6Tbq4TSaTgHnfn8HO1GsAUH6c740yJ/muHCdLmZ0H+IdYlRElBQb4o8icUFV3nKopI2be2xIAsDP5b5y/VoBbQgPQr00DzLw32pzk9r8FCXeHo9s7u83XtHr1Aa3Gcpz8jEa82Lu5JC06LiU4PXr0gF5fnrH/9ttvNSY4mzdvxksvveTK6hyWnJwMrVaLkJAQy7SQkBBkZGTg+vXrVtPLxMbGQqMx1x5ffPFFvPjii64H8vMC4Kd/l//d6TFg2GIE7pqBZP8vgEU3p/ecDvR+FdjwKIJO7cIxfwALAdy3COjyBLCyL5BxvHw5j24EWvUDFsQBhvIfgPbpvQhEIYIWRgGAOaEoGYO1uqEoNpYPYNTDgD45O+Dn0xdI24WgtQ+Vr7NhWyDhV+DIeuCb5xEE4Jg/ULqpN/DE5hq3CdumAoc/L5/eczoMd72MDvsSoD/wl2XyzKGLgK63Y9eBQ8gr1SIQReiDw5jZ9gEA7YAFcQgy5JbHM/EAENwU+HczALDEk2voC+ReAZZ2tSw70C8QwArozu4B/juyPJaGbYGn9+JB3c8IWvi4ZfKNW4Ygr+jJag9dXrERN7a+jvCkVZZ1Fu+fCvR/DdjwKHBqV/mHKxwnv4zj5n2O/ihGeYuUHgb0uZEIv/ceNG+TvhGO+Y8zb2OZ6ReAnEsIWtq1fPv9goAZF4EzPwJrH7LepgrHqUydqN4AxsNv//vAvnetj9OAhfiXz6cIWjjW6jih96uos2ksjvnvLo+nwjYFZRwvj6fSuVe2b/Kz9gINm1uOU+VtKjtOBkGHXYZ3USw0tvpYsVHArt+OYNrQ9vA7sh5B3zxfvs7oPsBjmyznXtk6DTvGAA8urfbcK/s91XScHPk9VTz3ytaJhVW3KQjAfn0dAMOrHKeAsBgAb8D32Abg2xfKf5OaASgWyovfsvPj3RUpWJsZffNCrcW560VYe+AM8PefeP25scCGR6E/tQsJAPCra9tk6zgBcPjcc6WMcNdxuqFpiLysvwFULdvzrqXjxrtPIlyTbXubqikjys49v/3v45j/u+W/Dxe3aV7JGKw1lpcRluN8aAVe9/3CpeNUdjyMn8UAkw4CR9bDtGUy5pWOxi5jJ+gRZG41DTyHmZenQKsRyrepmjJC23M6Xh/6Kl7KfA15+b+hfn4e/P40As3Ktyk04ziS/WG+plU6TnoAz/ecDviUNzh4ikYoe1iNE5KTk/HQQw+hoKAAOp0OWVlZaNCgQZXPFRQUICMjA0ajZ55r8tZbb2H+/PnIysqyTNu2bRuGDBmCixcvWnWh5eTkoF69esjOzkZwcLDbYiguNeKjH1IwoVtT6MvGI93M+nNzc3DXvO+w/9W+CNL7WGX9uYXFuOvtH8zz6tauBSfX5Idb5+zEX6/ebV4ubnYH/HARO1Ou4vy1vArZdxS0AfUAYyly83LK11mpBSe3uNQ8b0Z/BAXXr1XtLLdUiztmb8HBV3tb4imryVy7noVu/7cLe1/pbW7FqrBNlnW+2hdBQdYtOJZ5bwxDkF5nVZPJLS7FrW/vx1+z+iBIWyEWjRa5gh6dZ2/DH692t8RiMGkwYOnvOJNZdWB8VFhdfJdwO/w0xvJ1vjYIQYGBtaqdnbtWiOah/uX7/GbtLLfYiLv+9XX5OQBYame5udnl26+vXQtOrsGEW9/ah79e64kgnwrnjM4XuUYf3DZ7K357tWeF42E+93JzbuCut3ZUOCfLtym3yFAeT6UWHMu+mXUfguro7dY4r+YaMOSjP5CRV7WbpmGgLxIn90B4HS1y8/PK11nHugXHss6ZAxAUFOyRFhyrczLYugXHMm/2cAT5aqyOU67BiFvf+gV/vd4LQTpzLCaTgHk7zmLniWs4dy0fzUProF+bBpjatzkGLT+MM1mFqCyqQQC+e6En/EyFLpURYrTguFJGOHucio3G8lasOsEwGIEB7/+IM1kVWjMt+84f3z3XxW4LTnVlRFkLTm5eHu5689vy34cL22QoKcWAZb9XH2uoP76b2AV+AUFOH6fy49HPfK6WGsw3mxxKt67o+mjx6G1N8PrAlpbjJEYZYbVf3Mze9dulFpy4uDgcOXIEe/fuxaVLl7Bq1So8+WTVGnFRURFWrlzpyqpqJTQ0FMXFxVbTCgvNhUZ1rTdiMJSasGD3OTzZMwb6yrdT+tZBHgLMJ2vFeX51AZNf+Tyfm/P0gdWvxL/SAS0qAaCxWq4WwOv31UNC71bmfvKJ3az7yXU+gD6ofJ36m+v08TP/Q4l5nl/dm9NrOFF965j/VVRagkL4V91OAL51glGAAPgG1LOe5x9cvk59kLmAsdrWm/M0GvM8q31ws6DR+gD+lWIpKkEJfKxi8QNsD/yuU9d6nWXbXbYvKrt5nLQAXh/eEQl5xdXvcwDQmKo/BzQ66+NRNk/nA+iqScAtx6nSPvDRV9nnJcXFKIYfSnR1Af9K8fjVrT4efSAgVDgeuptFRuXjodWZj0nlc7Jsm25Or+9jQqC/X7UJTqC/n7nb1EdrvQ/8ys5J87nn52PE0307lB+f6s69m9tULUd/T1bTK+wDjcZqmyzzgGqO083t1PlZ/yaHdahyflzNKUJecfWVwDxD2fgcF8sIW9M1lX9PqGGbbnJHGQE4dZwMRSV496e/8XjvW6HX6uCnBfrENqn+txzbBH6B9e1vUzVlRPm26qv/fTixTTeKi5BXXP2Ym7wSATcEf4RXKfcqsHucyo6Hef8Z4INdaTeskhvgZvdd2nVM8wksT/6MJeZWper2gdNlhHRcftCfn5+f5fbra9eu4Yknnqj2c+3bt3d1VQ6Ljo5Gfn4+ioqK4O9vHtCZkZGByMhIj44FkhNvfY6DPWIO/JbLPpfToF533E3oydcRiKmmt5DLaRC+krj6W/bUgF9PH2el3vjgDm4teSdPnlzjvLvuusudq7KpV69eCAsLw6FDhyzTkpOTMWTIEI/FQMrgDS/xlNvj1MV8/L2SX/Mh57eQK4Gzv2VPP3jR08dZqa/zcQdV/mJ8fX3xwgsv4KuvvgIA5OfnY8eOHZ6/i4oUw9OtLbZqi+6sScrxnUFiJpW1feu33PDdR66z9VuuLgGWogLgyePszYmzards2rRp8PHxweTJk5GQkICVK1eiRYsWUodFXs5WbdEdNcnK7/cR8xUhrvJ0UqmE1h21tSi6ss/FOF6VE2CpKgCePs7emji75WWbcqTT6fDuu+/a/yCRB9l6GBkAlx9UVnl8Csd1lFPSS1ylGL8lxsMeXdnnnjheUo9P8dRxlttDGT1F1L16/vx5lJRUf/KQMsj9SZsViRWru956bPPFdSmX8UPKFbfXJL25edpTlPBWbEfY6t5TetdfTbxtfIpcbnzwFNG2Mj8/H1FRUVYDfck+uRSWSnrjsdixuuutx7ZqizlFRuQWlVY7T8y3zZPrlPRWbLKmxgqAK9cQuVx/3EXULioXniHoteRyC6xc3+tS3Q9QrrFWZqu7KNjf/FPMyvfs2+bJMUpqyaTakdtLQ13lyjVELtcfd1FHmkZuJcc7b8pUri3LOdbKbNUW+8Y2Qt/YRqLWJJXUPC2XhEJJLZnkHLUN7KZyopV0Op0OPXv2RL169cRaBYlEznfeVKakWAHb3UXsSpJfQuHqLcRqa/JXM7lVAGzdRaaEOwLlQLQj6e/vj927dyM+Pl6sVZBIpB54V5vau9Sx1pat2iJrkvJ6KKE7Wgc5Poec5Y2Dvt1NHqkqyYpUA++cqb0rdZCgrdqi3GqStrizhUJu3Y1Kax0k8bAlTplU+xwcco0UA++cHSzsSKxyGdOhNu4clCj1M0kq4zOEqIzaBt96C6ajKuLOWoanu0tcqb3bilVuYzqoZnLrblRq6yARmXnkF7p//36cPn3aE6vyamL093uqu8Qd3QHVxSqnMR1kmxwTCg78JlIut3ZR5eTkYN26dcjMzITJVF7j/vvvv/Hjjz8iJYUXFTkSq/vGmcHC7uwOsNcqNG1gW9bCb/LUyz/tkdszSfgMIfs4PoXkyq0JzqhRo3Ds2DGEh4ejoKAA4eHhAIDTp09j5MiR7lyVosmlQDCZBMzbloKdKVcAmLtvyi4mrnRFObPcstp7xTE4gGu1d7mN6ZAjW8cKgCjnhy1yTSjkNPBbbuPJOD6F5HJNq8ytCU5wcDDOnTsHo9GIuXPnYvbs2QCA9evXQ6uV14ZLSS4FglhPABZzsHBtcJCofWK//NNZckoo5EKsCokSyS3J8wa2khi5XNMqc2vpERERAcD8kL9GjRrhzz//BAC0b98er7zyijtXJXty/wGKdUuuo8ut7sfi7oHNchzTISdSvPyTnMfxZPJ7EKQ3UeIzndzaghMWFoZmzZph4sSJePnllzFw4EA0bNgQv/zyCwICAty5KtmSay2rckIhVveNo8u1lfG7s/Yu5ZgOuTbblrH38s+azlZ277lHbc4PjiczU8p750ge3PqLePXVV/H5559jxIgR8PX1xZdffom4uDiMHDkSiYmJ7lyVbMm1llU5+xbrlly53eor5dOB5V7jsXWsgv19EORfff1Hzt17cm85rag25wcfOii/B0GS/Lk1wXn//ffRq1cvtG7dGgAQEhKCWbNmoX///jh//rw7VyVLSvoBitV9I9duIXutQnJvbRGD1C//dOc+V3vXhdwqDlJwNMmzdV4pKQEm17ncRZWdnY3s7GwAwO+//44LFy5AEKwLFZ1OhzFjxiA9Pd3V1cma0u7aEav7Rm63+jpCroPkxObIsRLrOLpzn6u960KMuwzlrnIy4uhNA9WdV1IOHSguNWLp7lOY2Dtatq25auXyr6KgoABLlixBdHQ01q1bhxYtWiAqKsryr0WLFrj33nvRp08fd8Qra0qrZYnVfcOXRiqHGl7+6WjLqZJq79W1QijxoYPO7POaWuN8tBqnW4elHDpg68WY3thy7Ekut+A0adIE//d//4d7770X69atw6xZs6zmazQaBAQEICwszNVVyZ5Sa1li3ZLLW32VQ8kv/7TXcnqtoBgf7zkju4H/tlTXCiH2M4Lc+bBHV1pMbLXGOdM6LOcB2p5uOfa2hMptd1H17dsXnTp1QmhoaJV5hw4dglarrXae2iixe4ZIyex1XSz/8RTWH7ygmu4rdyecYjzs0dkuQ0eSkdomeUobOiAmb+uKd+tt4vXq1cP27durvKrhwoUL2Lp1K/bv3+/O1cmSXJ/ESqRWtlpOe7ZpiJ9SM2RZe5cLdz/s0ZUWE0eTkdokeXzgp/dya4LzxBNPYOPGjahfvz4EQUCdOnUAADdu3EC/fv3cuSrZk3uzPnkfNTdP19RyOr5bFBKPVn9zg7fV3qtj72GPgKbWiYorLSZiJCNKHTpArnNrgpOdnY2srCzodDq89957mDlzJgBgxYoVllvHiUgaam6erqnl1FBqYu3dBjEe9uhKkiJWMuLI0AE1VwC8lVuPZPv27REQEAC9Xg9/f3/Ls2969+6N5557zp2rIiKqonLLqVyfyyQXYjzs0dV9LsbdYo7cESi3B3O6c9C3t3JrC05hYSG6d++Oxx9/HBMmTMB9992HO++8Ezt27EBeXp47V0UkC84+48JWbZE1SffiwP+a2Wox6RvbCACcak1xZZ+LOY5RCUMHxBj07a3cmuC89957+OyzzxATE4PAwECsWrUKb775JqKiorBkyRJ3ropIFsqecTGue1StEhxb3UVq7kqSAgf+2ybGwx7dsc+VkIyIwd2Dvr2ZWxMcrVaLsWPHWv5u2bIlVq9ejXPnzrEFh4gk5a0XTHvsJSOuJCrc57UjxqBvb+ZSgjNhwgSUlFQ/QK2MIAhIS0tDVFQUPvvsM1dWRxJQUneJkmIlkhslP+xRLcQY9O3NXDpbCwoKcOLECRiNRgiCgKNHj2L79u0oKiqCIAiWd1Kx9Ua55DbwzhYlxUpEVJkYg769mUstOFOnTkVoaCgiIyMBACNHjsSPP/6IwMBAq89dvXoVr776qiurIiKSDFsHyRPEGvTtrVxKcNq3b2/1d0RERJXkBgBKS0vx3//+F6tWrXJldUTkJeSWUHDgN3mKGIO+vZVbS4/i4mIsWrQI+fn5AMzjb/bu3YuhQ4eiTRsWDuQYuV3cyPPY3UjeytYzexx5ng+Vc+tdVAsWLMCkSZNQv359BAUFIS8vD0ajEc2aNcPXX3/tzlWRirG2TETejoO+XefWBKdOnTpYtWoVZsyYgZ9//hmZmZmIjo7GkCFD4OfHAVBERETkGW5NcMpER0cjOjpajEUDAHbv3o3Jkyfj7NmzuOeee7Bs2TK0aNHCMv/kyZN44403EBoaCgCYP38+9Ho+2MubsduLiMi7KK60T09Px4wZMzBlyhTMmzcPhw4dwpAhQ1BaWgoAyM/Px+DBgzFnzhwsXrwYbdu2xeTJkyWOmqTGMR1ERN5FlBYcMe3atQvffPMNwsLCAMDSBZaUlIQOHTpg+fLliIyMRKtWrQAAo0ePRsOGDTF9+nSrVh4iIiKx8cWY0lFcC87IkSMtyQ0A9OrVCwAsXVBbtmxBu3btLPNDQ0PRtGlTJCYmejROJRGr+4bdQsrBl38SOa+41IiFO1JRXGq0TDOZBMzdmowHlv0CwPxizLlbk2EyCVKF6XUUV2JVHqx8+fJlxMfHo23btgCA5ORkqwQIAEJCQpCamuqxGJVGrO4bdgsph61jxeMoL0w45afspbuGCq00ZS/NPJdVAKD8xZjztqVIFabXkV0X1UsvvYQjR47UOH/KlCkYOnSo5e+1a9fi3XfftfydnZ1tGVxcRq/Xo6CgwOZ6Y2NjodGYnyXw4osv4sUXX3QmfCIiUfExCvJP8my9NJMvxvQc2SU48+fPd/iz58+fR3FxMQYNGmSZFhoaiuLiYqvPFRYWIiQkxOayUlJSEBwcXLtgbZD7D5CISKnknuTZemkmX4zpOYq9+hYWFmLZsmWYPXu21fTo6GhkZmZaTcvIyEBMTIwHo2OzPhGRt7L10ky+GNNzFJngGI1G/Pvf/8b06dPh62s+icpeDzFixAgcOnTI8tmsrCxkZWVhwIABksRKRJ7DllOSg7KXZuornYd8MaZnya6Lyh6j0YhnnnkG3bp1w/79+wGY31Z+/PhxvPXWWxg7dizef/99XLlyBY0aNcLatWsxYcIEyxvPiUi95N51QdLyZALsyEszSVyKS3CeeuopfPbZZ1i9erXV9I0bNwIw3zG1ceNGTJkyBREREdBoNFi4cKEUoZIX4DMuiMQhRjLiyQS47MWYCb2i0fnNndj03N0IDeQT9T1JcQnOmjVrsGbNGpufue2227B+/XoPRUTeyGQSMG9bCnamXAFgfsZFWe2Mb/aVJ3Zf2SbG/nFlmWppjeOLMaWjuASHSA7KnnFRdhto2TMuAOD1oXFShkY1UMsFUyy29o+ziQr3OUmJKSVRLdl7xoWB3VWkMrwrlJSICQ5RLTnyjAsiIpIWExyiWuIzLoiI5I8JDlEt8RkXRETyx0HGRE7gMy6ISEy2BnbzjkDHMMEhcgKfcUFEYrJ1BxrvTnMM0z8iF/AZF0RE8sRSmYiIiFSHCQ4RERGpDhMcIiIiUh0mOERERC7gS3fliQkOERGRE0wmAXO3JuOBZb8AML90d+7WZJhMgsSREcDbxImIiJzCl+7KG1twiIiIaokv3ZU/JjhERES1xJfuyh8THCIiolriS3fljwkOERFRLfGlu/LHQcZEREROcOSlu3wxpnSY4BARETnBkZfu8sWY0mFKSURE5AK+dFeeeDSIiIhIdZjgEBERkeowwSEiIiLVYYJDREREqsMEh4iIiFSHCQ6RC/iMCyIieeJzcIhcwGdcEBHJE6udREREpDpMcIiIiEh1mOAQERGR6jDBISIiItVhgkNERESqwwSHiIiIVIcJDhEREakOExwiIiJSHcU/6O+VV17B1atX8emnn1qmnTx5Em+88QZCQ0MBAPPnz4der5coQiIiIvI0Rbfg/PLLL1i2bJnVtPz8fAwePBhz5szB4sWL0bZtW0yePFmiCImIiEgKik1wCgoKsGTJEgwbNsxq+vLlyxEZGYlWrVoBAEaPHo2PP/4YZ8+elSBKIiIikoJiE5w5c+bgtddeg4+PdS/bli1b0K5dO8vfoaGhaNq0KRITEz0dIhEReQG+dFeeFHk0fvrpJzRq1AixsbFV5iUnJyMsLMxqWkhICFJTU20uMzY2FpGRkYiMjMSCBQvcGi8REalX2Ut39T46qUOhCmQ3yPill17CkSNHapw/ZcoU/O9//8Mnn3xS7fzs7GzL4OIyer0eBQUFNtebkpKC4ODg2gdMREREsiO7BGf+/Pk250+dOhVvvPEGtNrqG59CQ0NRXFxsNa2wsBAhISFui5GIiIjkTXFdVO+99x6io6Oh0Wig0WiwZs0arFmzBhqNBgAQHR2NzMxMq+9kZGQgJibG47F6Q1eXN2wj4B3byW1UB2/YRsA7tpPb6BqNIAiCaEsXwZ9//mn196xZswCYBx137NgRCxcuxNatW/HDDz8AALKystC4cWOcOXMGkZGRVZaXk5ODevXqITs72+1dVJGRkbh48aJblyk33rCNgHdsJ7dRHbxhGwHv2E5uo232rt+y66Kyp2PHjlZ/l423KZs+duxYvP/++7hy5QoaNWqEtWvXYsKECdUmN0RERKROiktw7AkJCcHGjRsxZcoUREREQKPRYOHChTV+vqwBKycnx+2xCIIgynLlxBu2EfCO7eQ2qoM3bCPgHdvJbbSt7Hs1dUQprovK3S5evIhmzZpJHQYRERE54cKFC9X20nh9gmMymZCeno6goCDLQGUiIiKSN0EQkJubi4iIiGrvrPb6BIeIiIjUR3G3iRMRERHZwwSHiIiIVIcJDhEREakOExyRvP322xg/fjzGjBmDXbt2SR2O2507dw4DBgxAUFAQOnXqhN27d0sdkqi2bduGqKgoqcMQVXZ2NhYtWoS1a9eq6njm5eUhISEBr776KqZOnYrnn3++yutclCwzMxNTp07FxIkTraYXFBRg/PjxeP755/Hoo4/i3LlzEkXoupq2cffu3Wjfvj2Cg4MxaNAgnD17VpoA3aCmbazolVdewdixYz0XlJvZ28a0tDTMnz8fX375JY4ePer6CgVyuw8//FB48sknBUEQhMLCQiEmJkZIS0uTOCr3MZlMQv/+/YV33nlH+Oyzz4QOHToIAQEBqtrGiq5duyZER0cLzZs3lzoU0aSlpQn/+Mc/hMzMTKlDcbuJEycK8+fPt/ydkJAgvPbaaxJG5D4Gg0HYtGmT0Lp1a+GJJ56wmvfQQw8Ja9asEQRBEI4ePSrceuutgsFgkCBK19S0jZcuXRK6du0qrFq1Sli0aJHQoEEDIS4uTigpKZEuWCfZOo5l9u3bJwQGBtY4X+7sbWNiYqIwZcoUtx4/tuC4mcFgwOzZs/HEE08AAPz9/TFgwADMmzdP4sjc59ixY5g2bRqmTp2Kxx57DN9//z00Gg22bt0qdWiieO211/D4449LHYZorl+/jscffxzvv/8+GjRoIHU4bvfjjz+iefPmlr9vvfVW99QOZcDX1xfDhw/H7bffbjX9999/R2JiIh555BEA5m3WaDRYv369FGG6pKZt3LVrF7755hs89dRT+Oc//4nPPvsMycnJSEpKkihS59W0jWUKCgqwZMkSDBs2zMORuY+tbTx48CCWLFmC9957Dz4+7nv+MBMcN9u3bx+ysrLQrl07y7QOHTqo6uIfExODvn37Wv4ODw9HXFwc9Hq9hFGJY/Pmzbj99ttxyy23SB2KaN544w20bNkSb7/9Nrp27YpXXnkFpaWlUoflNu3bt8fSpUthMpkAAL/99hueffZZiaNyL19fX6u/t2zZglatWln9Jjt06IBvvvnG06G5TeVtHDlyJMLCwix/9+rVCwAUXQ5V3sYyc+bMwWuvvebWi79UKm+jyWTCM888gy5dumD8+PHo2rUrVq9e7ZZ1McFxs+TkZGi1WoSEhFimhYSEICMjA9evX5cwMvfx8/OrMu369esYOnSoBNGIJzMzE4mJiYru87anoKAAK1euROfOnbFw4UJ8+umnWLZsGaZNmyZ1aG6zYMECnD59Go8//jh++eUXDB8+HIMGDZI6LFElJydbXfwBczmUmpoqUUTuV7kcunz5MuLj49G2bVuJIhLHTz/9hEaNGiE2NlbqUESxZ88epKamon///li9ejUmTZqEp59+2i3JOBMcN8vOzkb9+vWtnqpYVqMoKCiQKixR7dmzBw8++KDqXmj6+uuvY+7cuVKHIapff/0VhYWFGDNmDDQaDdq2bYtHHnkEy5Yts7R4KF2TJk2wYcMG1KtXD4MHD1bNdtmSnZ1teRFxGb1er9oyCADWrl2Ld999V+ow3CovLw+rV6/G5MmTpQ5FNLt370aLFi3QvXt3AMCjjz6KVq1aYfHixS4vmwmOm4WGhla5Q6OwsBAArFp11KKkpATr16/HnDlzpA7FrTZs2IBevXqhcePGUociqsuXLwMA6tata5nWq1cvFBYW4tKlS1KF5VYpKSnYv3+/pY//wQcfxHfffSd1WKKqqRxSYxkEAOfPn0dxcbHqWub+9a9/4Y033qj2NQRqcfnyZavyBwB69uyJtLQ0l5et3r0mkejoaOTn56OoqMgyLSMjA5GRkQgICJAwMnHMnz8fM2bMUHS/d3WWL1+Of/zjH9BoNNBoNHjyySdx7tw5aDQa/Pjjj1KH5zZBQUEAYNV9Gh4eDkA9Cfm4ceMstcNx48Zh0qRJePnllyWOSlzR0dHIzMy0mpaRkYGYmBiJIhJPYWEhli1bhtmzZ0sditu99957iI6OtpRDa9aswZo1a1T13sSgoKAqwzfCw8PdUv4wwXGzXr16ISwsDIcOHbJMS05OxpAhQySMShwrV67EwIEDLW9jLy4uhtFolDgq9/j4449x+PBhy79//etfaNKkCQ4fPozbbrtN6vDc5q677oKvry8OHjxomXbt2jV06tQJgYGBEkbmPkeOHLEar/H000/jwoULEkYkvhEjRuDo0aNWrThqLIeMRiP+/e9/Y/r06ZbBq/n5+RJH5T4Vy6DDhw/jvvvuw3333YfDhw9LHZrb9OzZE6dPn7ZKyK9du4YePXq4vGzlD8mWGV9fX7zwwgv46quv0L17d+Tn52PHjh349ttvpQ7NrZYuXYqLFy8iMjIS27dvR0FBATZt2oQ1a9ZIHZpbtGrVyurvP//8E35+fujYsaM0AYmkQYMGmDx5MpYtW4YHH3wQALBp0ybMnDlT4sjcZ9CgQfj2228tdzaeOHFCdQPijUajVa2+U6dO6NatG7Zv345hw4bhzz//hFarxcMPPyxhlK6pvI1GoxHPPPMMunXrhv379wMArl69iuPHj+Ott96SKkyXVN7GyuVN2bgqJZdDlbdxyJAhuP322/HRRx9h5syZKC4uxp49e9xyzWSCI4Jp06Zh+vTpmDx5MrKzs7Fy5Uq0aNFC6rDcZvXq1UhISABgfmJzmX/+85+q7itWq7fffhuvvPIKnn32WQQHB6NHjx546KGHpA7LbVauXImXX34Zb7zxBgIDA3H58mUsWbJE6rDcZsOGDdizZw+0Wi3+97//WZKYdevW4YUXXsC+ffuQmZmJbdu2QafTSRytc6rbxqeeegqfffZZlVuKN27cKFGUrqnpOKpJdduo1WqxZcsWJCQkYObMmcjKysKyZcusnl3lLI0gCIIb4iYiIiKSDVa3iYiISHWY4BAREZHqMMEhIiIi1WGCQ0RERKrDBIeIiIhUhwkOERERqQ4THCIiIlIdJjhERESkOkxwiIiISHWY4BCRaqSmpuKTTz5x+vt79uzB999/78aIiEgqTHCISBGSk5Ntzj9z5gxWrFiBJ5980ul19OjRA2fPnsXXX3/t9DKISB6Y4BCR7CUlJeHLL7+scb4gCBg3bhxeeeUVl9c1btw4LFq0COnp6S4vi4ikwwSHiGQtJycHo0aNgslkqvEzX3/9NQIDAxEeHu7y+rRaLUaMGIF33nnH5WURkXSY4BCRrH3++efIzMzE1q1b8eyzzyIrK6vKZ1asWIEePXpY/j59+jQSEhIwZMgQ7Nu3D23btkWTJk3wyy+/WD7z4Ycf4vXXX8fw4cPh6+trtbx77rkHq1atgsFgEG/DiEhUTHCISNYSEhLQpk0bDB06FMuXL0eDBg2s5peWlmL37t2IiYmxTAsKCkJOTg5SUlKQnJyMvXv3onPnzpg7dy4A4Pz589izZw/mzp2LzZs34/7777daZqtWrZCXl4cDBw6Iv4FEJAomOESkaGlpaSgqKkLjxo0t0xo2bIioqChERkZi/PjxCAsLw5AhQ3Dq1CkAQGZmJnbs2IE9e/YAAF588UWrZQYEBKB+/fr466+/PLchRORWTHCISNHKuqwCAgKspmu1Wmi15UVcQECApcupU6dOuPvuu9GzZ0+MGDECkZGRVZYbEBCAjIwMESMnIjExwSEiRatTpw4AoKSkxOHvaDQabN26FUuWLMGuXbvQpUsXnDt3rsrndDqd2+IkIs9igkNEsqfRaGqcV9Y1lZOT4/DykpKScOnSJUycOBFHjx6FXq+vcht6Xl4eIiIinAuYiCTHBIeIZC8gIABpaWlITk7G+fPnreZFRETglltuwYULF6yml5SUVLm13Gg0AgByc3OxePFiAEBkZCTuuOMOtGrVyvK5GzduICcnB126dBFjc4jIA3ykDoCIyJ5x48Zh3LhxCA0NxaJFi6rMv//++60GBB85cgSJiYk4e/YsNm7ciPj4eGzYsAHp6elYvXo14uLi8M477yA1NRVxcXFo164dhg0bZvl+UlISoqKi0LFjR09sHhGJQCMIgiB1EERErjh16hRGjx6NX3/91S3LmzNnDurXr4/nn3/eLcsjIs9jFxURKV50dDQGDhzolhdlGgwGHDx4EM8995wbIiMiqTDBISJVmDVrFnbv3u3Srd2CIOC9997Dhx9+WOXpxkSkLOyiIiLVMJlM2LFjBwYMGODU9w8cOICoqCg0atTIzZERkacxwSEiIiLVYRcVERERqQ4THCIiIlIdJjhERESkOkxwiIiISHWY4BAREZHq/D9IjwTxXzTq4AAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "chisquare/NDF = 65.90 / 61 = 1.08\n" ] } ], "source": [ "param_names = [\"norm\", \"mean\", \"width\"]\n", "p0 = [contaminated_pulse.min(), 7., 1.]\n", "\n", "coeff, cm = curve_fit(gauss, time_axis, ped_subtracted_pulse, p0=p0, sigma=errors)\n", "coeff_error = np.sqrt(np.diag(cm)) #errors are the diagonal of the covariance matrix\n", "flux_fit = gauss(time_axis, *coeff)\n", "\n", "for name, param,error in zip(param_names, coeff, coeff_error):\n", " print(\"{0:8s}: {1:6.2f} +- {2:6.2f}\".format(name, param, error))\n", "\n", "fig,axes = plt.subplots(2,1, sharex=True, figsize=[8,6])\n", "axes[0].errorbar(time_axis, ped_subtracted_pulse, errors, fmt='.')\n", "axes[0].plot(time_axis, flux_fit,\"--\")\n", "\n", "residuals = ped_subtracted_pulse - flux_fit\n", "axes[1].errorbar(time_axis, residuals, errors, fmt='o')\n", "axes[1].plot(time_axis, np.zeros(len(time_axis)), '--')\n", "\n", "for a in axes:\n", " a.set_xlabel(\"t (ns)\")\n", "axes[0].set_ylabel(\"V (mV)\")\n", "axes[1].set_ylabel(\"data - fit\")\n", "\n", "plt.show()\n", "plt.hist(residuals, bins=10)\n", "plt.xlabel(\"data-fit\")\n", "plt.show()\n", "\n", "TS = calc_chisquare(ped_subtracted_pulse, errors, gauss(time_axis, *coeff))\n", "NDF = len(ped_subtracted_pulse) - len(coeff)\n", "print(\"chisquare/NDF = {0:.2f} / {1:d} = {2:.2f}\".format(TS, NDF, TS / float(NDF)))" ] }, { "cell_type": "markdown", "id": "f7bbce6b", "metadata": {}, "source": [ "Excellent! Judging from the residual plot, we have a good fit now; there doesn't appear to be anything in the\n", "residuals but random noise centered at zero. We could even fit that distribution and\n", "determine how well it is fitted by a Gaussian, which would give us a measure of how\n", "random our noise is (e.g. the noise could be correlated noise, which is very difficult\n", "to handle in experiments).\n", "\n", "Alternatively to calculating the pedestal, we can try to include it in our model of the\n", "signal. To do this, we will change our fit function to include a parameter which is the\n", "pedestal. This is often the way things are done, since you usually don't have a priori\n", "information about your signal or background." ] }, { "cell_type": "code", "execution_count": 18, "id": "8e5833c8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "norm : -114.45 +- 5.71\n", "mean : 6.50 +- 0.04\n", "width : 0.71 +- 0.04\n", "pedestal: -29.12 +- 1.47\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def gaussian_with_pedestal(x, *p):\n", " '''\n", " This is a Gaussian fit with a pedestal.\n", " '''\n", " return gauss(x, *p[0:3]) + p[3]\n", "\n", "param_names = [\"norm\", \"mean\", \"width\", \"pedestal\"]\n", "p0 = [contaminated_pulse.min(), 6., 1., -10]\n", "\n", "coeff, cm = curve_fit(gaussian_with_pedestal, time_axis, contaminated_pulse, p0=p0, sigma=errors)\n", "coeff_error = np.sqrt(np.diag(cm))\n", "flux_fit = gaussian_with_pedestal(time_axis, *coeff)\n", "for name, param,error in zip(param_names, coeff, coeff_error):\n", " print(\"{0:8s}: {1:6.2f} +- {2:6.2f}\".format(name, param, error))\n", "\n", "fig,axes = plt.subplots(2,1, sharex=True, figsize=[8,6])\n", "axes[0].errorbar(time_axis, contaminated_pulse, errors, fmt='.')\n", "axes[0].plot(time_axis, flux_fit,\"--\")\n", "\n", "residuals = contaminated_pulse - flux_fit\n", "axes[1].errorbar(time_axis, residuals, errors, fmt='o')\n", "axes[1].plot(time_axis, np.zeros(len(time_axis)), '--')\n", "\n", "for a in axes:\n", " a.set_xlabel(\"t (ns)\")\n", "axes[0].set_ylabel(\"V (mV)\")\n", "axes[1].set_ylabel(\"data - fit\")\n", "\n", "plt.show()\n", "plt.hist(residuals, bins=10)\n", "plt.xlabel(\"data-fit\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "id": "de203d33", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgwAAAG4CAYAAAApNb/xAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAAxOAAAMTgF/d4wjAAAfJElEQVR4nO3df3xV9X348fcNwShKUKAMASs2CNWJDjsLaOuy1Q2ZbHWKdtMWbCtKKVrMBHwMNn9QSieKfQxU9hBbf7SbbBZ5OFAe3aaZStHWWaQCVflhZWIUkBIRCJic7x9+TRsBPxfJzb2G5/PxyEPvuSfnvnNIyItzzz03l2VZFgAAH6Ks2AMAAKVPMAAASYIBAEgSDABAkmAAAJLKW3NjTU1NsXHjxujcuXPkcrnW3DQAUCBZlsXbb78dvXr1irKyfR9LaNVg2LhxYxx33HGtuUkAoI1s2LAh+vTps8/7WjUYOnfu3PyAlZWVrblpAKBA6uvr47jjjmv+Pb4vrRoM7z8NUVlZKRgA4GPmw04ncNIjAJAkGACAJMEAACQJBgAgSTAAAEmt+iqJA9HU1BTeWbu05XK5/V7AA4BDS1GCoampKdauXRvvvvtuMR6ePJWXl0dVVZVoAKA4wZBlWbz77rvRr18/v4xKVFNTU6xZs8ZRIAAioohPSURElJWVRYcOHYo5AgCQB/+8BwCSBAMAkCQYAIAkwQAAJAkGACBJMAAASUV9WSUAB2j9k62+yZUb66O+55BW3+7Qqm6tvk2KxxEGACCppI8wLFu7pdgj7KUti/miiy6KV199NZ555pk2e0wA2BdHGNrYsmXL4hvf+Ebkcrno0qVLjBgxIkaMGBHnnXdefPazn42ysrKYMGFCRER06dIljjnmmOIODABR4kcY2qOhQ4fG0KFD48EHH4zevXvHokWLWtz/4IMPxtKlSyMiYt68eXt9/s6dO+Of//mfm6MCANqCYCiSI488cp/LR44cGR07dtzv591+++2xffv2Qo0FAPvkKYkS9MUvfnGfy3/605/GlClT2ngaABAMJeXHP/5x/N///V9ERDz11FNx6aWXxrBhwyIiYu3atTFt2rTYvXt33HPPPVFdXR3z588v5rgAHEIEQ4loamqKBx54ICIiGhsbY8eOHfGTn/wkGhoaIiKiqqoqHn300YiIuOyyy6K2tja+9KUvFW1eAA4tzmEoojVr1kR1dXVERLz55puxevXquO2226JDhw7xZ3/2Z9G/f//iDggA/59gKKJ+/fpFbW1t8+05c+a0uP/DTn4EgLYkGErI+PHjiz0CAOyTcxgAgCTBUCSNjY2RZVmxxwCAvAiGIti2bVts2rQp6urqYufOnftcJ8uyqKuri7q6uhZh0bVr19i4cWNERDz99NNtMi8AlPQ5DO3xrVGnT58es2fPjoaGhnjzzTejb9++cdVVV8XUqVNbrDd48OB48cUXIyLilFNOidra2vjEJz4RN910U9xwww3RsWPHuP7664vxJQBwCMplrXhcvL6+Prp06RLbtm2LysrK/a7X2NgYL730UvTv3z86dOjQWg9PK/JnBCVq/ZOtvsmVG+ujvueQVt9ue/xHX3uVz+9vT0kAAEmCAQBIEgwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJJK+t0qC/EmKwfthM8XewIAaHOOMLSxhQsXRi6Xi4EDB0Z1dXUMGTIkcrlc9OnTJ6qrq+Oss86KysrK6Nu3b7FHBYBmgqEI/vEf/zF++ctfRm1tbTzwwAMRETFy5Miora2NpUuXxiuvvBL9+/cv8pQA8FuCoY1VVFTEuHHjPnSdrl27xuWXX95GEwFAWmmfw9AODR8+PK/1Lr744gJPAgD5c4ShBDU1NcXixYvjoosuimHDhkVtbW188pOfjNNPPz0GDRoUuVyuxTkOp59++l7LIiJ+8YtfxAUXXBCf+9znonfv3jFz5sy2/UIAaDcEQwnas2dPdO/ePZ566ql49dVX47nnnourrroqTjzxxPjFL36x11GK5557LoYNG9Zi2Ysvvhhf//rXY+7cufHUU0/FzTffHJMmTWo+ZwIADoRgKEEVFRUxePDg6NevX2RZFtdcc01MnDgx5s+fHxERPXr02Otzevbs2eL2tGnT4oorrmhe99JLL43u3bvHbbfdVvgvAIB2J69zGLZv3x6TJ0+OysrKePfdd6OhoSFmzpwZFRUVhZ7vkNahQ4fo2bNn5HK5A/7cxx57LH75y1+2OKLQpUuX2LlzZ2uOCMAhIq9gmDx5clRVVUVNTU1ERIwfPz6+/e1vx7Rp0wo6HB/dpk2b4pZbbolLLrmk2KMA0A7k9ZREbW1tHH/88c23Bw4cGCtWrCjYUHy4fI44dOnSJR5++OG9lq9ataoQIwHQzuUVDKeeemrccccd0dTUFBERzz77bIwdO7aggx0q3t+n7//3g7Is22tZp06dYteuXR+67tlnnx3z58+PG2+8MXbv3h0REb/61a9i1qxZrTE2AIeYvJ6SmDVrVpx55pkxatSoGDduXJx//vkfej2Bk046qflfwTU1Nc1PZbC3NWvWRETEunXr9rpv06ZNsX379mhoaGhxvsjAgQNj7ty5sWbNmujXr1/87Gc/i//93/+Nbdu2RWNjY3To0CGuv/76ePTRR+OGG26I73znO9GzZ894/fXX48knS/D9OaDYCvW+Nd57hnYkr2A49thjY/78+XHvvffGn//5n8f999//oeuvXr06KisrD366dv7DNnLkyFiyZElERCxevDgGDhwYc+bMic985jMxePDg5qcPBgwYEI888kicfPLJERExevToWLJkSfzRH/1RnHPOOXHxxRfHGWecEWVlZTFv3ry4+OKL47TTTov/+q//ipqamli+fHkcfvjh8W//9m8xePDgon29AHx85RUMq1evjmXLlsXtt98egwYNigsuuCAWLVq012v/OTAPPvjgfu9buXLlfu874ogjYuHChS2WnXfeeXutd9ZZZ8UzzzzzkecDgPfldQ7D5ZdfHp///Oeb/3/8+PFx7bXXFnQwAKB05BUMzz//fBx22GHNt7/+9a/Hhg0bCjYUAFBa8gqG4cOHx6OPPtp8+8UXX4wRI0YUbCgAoLTkdQ7DvHnz4tprr43rr78+jjrqqKirq4vbb7+90LMBACUir2Do0qVL3HXXXYWeBQAoUd58CgBIEgwAQJJgAACSBAMAkCQYAICkvF4lUSj7e4dGis+fDQC/qyjBkMvlory8vPmdGilN5eXlze86CsChrSjBUFZWFlVVVZFlWTEenjzlcrkoK/OsFQBFfErCLyIA+PjwWxsASBIMAECSYAAAkgQDAJAkGACAJMEAACQJBgAgSTAAAEmCAQBIEgwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAAAkCQYAIEkwAABJ5cUeACgB659s/W2e8PnW3+bHyMqN9VHftKXVtzvUP/MKoxA/AxHt6ufAtx4AkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAAAkCQYAIEkwAABJggEASBIMAECSYAAAkgQDAJAkGACAJMEAACQJBgAgSTAAAEmCAQBIEgwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAAAklR/oJ2zbti3uvffe6Nq1a/Tu3Tv++I//uBBzAQAl5ICCYe3atTF16tSYM2dOdOvWrVAzAQAlJu9g2Lp1a4waNSoWLFggFgDgEJP3OQzXX399fOpTn4oZM2bEkCFDYtKkSfHuu+8WcjYAoETkdYRhx44dMW/evJg+fXpMmDAhXnzxxTjjjDOisbExbr311r3WP+mkkyKXy0VERE1NTdTU1LTu1FDilq3dUuwR8ja0qjBHDAuxDwo1KxTCyo31Ud/Ufn4O8gqGZ555Jnbu3BmXXnpp5HK5+PSnPx1f+tKX4s4774yZM2dGWVnLAxWrV6+OysrKggwMALS9vJ6SqKuri4iII488snlZdXV17Ny5M1577bXCTAYAlIy8gqFz584R8d6Jj+/r0aNHREQcc8wxBRgLACgleQXD0KFDo2PHjvGzn/2sedlbb70VgwYNiqOOOqpgwwEApSGvYOjWrVt861vfijvvvLN52UMPPRRTpkwp2GAAQOnI+zoMM2bMiEmTJsXYsWOjsrIyzj777LjwwgsLORsAUCLyDoby8vKYNWtWIWcBAEqUN58CAJIEAwCQJBgAgCTBAAAkCQYAIEkwAABJggEASBIMAECSYAAAkgQDAJAkGACAJMEAACQJBgAgSTAAAEmCAQBIEgwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAAAkCQYAIEkwAABJggEASBIMAECSYAAAksqLPQAU3fonW32TlXX1rb7NiIj6nkMKsl0+PlZuLMz3FqQ4wgAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAAAkCQYAIEkwAABJggEASBIMAECSYAAAkgQDAJAkGACAJMEAACQJBgAgSTAAAEmCAQBIEgwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAAAkCQYAIEkwAABJBxwMjzzySJxwwgmFmAUAKFEHFAxbt26Nq6++OrIsK9Q8AEAJOqBgmDp1aowaNapQswAAJao83xUXLlwYZ5xxRiFnAQBKVF5HGDZv3hyLFy+Oyy67rMDjAAClKK8jDH//938f06ZNy3ujJ510UuRyuYiIqKmpiZqamo82HXzQ+idbfZMrN9a3+jYhIqKy7ulijwCtJhkM8+fPj+rq6ujZs2feG129enVUVlYe1GAAQOlIBsPcuXOjtrY2/vqv/7rF8lwuF48//nhUV1cXajYAoEQkg+Guu+6K7du3N99++OGHY+7cufHII49Ev379CjocAFAaksHwwShYvnx5HHbYYfEHf/AHhZoJACgxLg0NACQdcDBcdtll8corrxRgFACgVDnCAAAkCQYAIEkwAABJggEASBIMAECSYAAAkgQDAJAkGACAJMEAACQJBgAgSTAAAEmCAQBIEgwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAAAkCQYAIEkwAABJggEASBIMAECSYAAAkgQDAJAkGACAJMEAACSVF3sAIH+VdU+3/kbLKlt/mwWybO2WwuwDIMkRBgAgSTAAAEmCAQBIEgwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAAAkCQYAIEkwAABJggEASBIMAECSYAAAkgQDAJAkGACAJMEAACQJBgAgSTAAAEmCAQBIEgwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAUl7B8Otf/zqGDRsWnTt3jkGDBsXjjz9e6LkAgBKSDIYsy2LMmDFxzjnnxB133BFZlsWIESNi7dq1bTEfAFACksHwwgsvxOTJk2PixInxla98JX7yk59ELpeLRYsWtcV8AEAJKE+tMGDAgBg4cGDz7R49esTJJ58cFRUVBR0MACgdyWA47LDD9lq2devWGDFixH4/56STTopcLhcRETU1NVFTU3MQIwKFtHJjfUG2WxlPF2S7FEZlXQH+vKrOa/VNLlu7pdW3GREx1EsAkpLB8EFPPPFEXHDBBdGnT5/9rrN69eqorKw8qMEAgNJxQMGwZ8+e+Nd//df43ve+V6BxAIBSdEAHYW699db4u7/7O+cvAMAhJu9gmDdvXpx77rlx3HHHRUREQ0NDNDY2FmwwAKB05BUMd9xxR6xbty7q6upiyZIlsWDBgrj88subT2wEANq35DkM3//+9+Ob3/xmRETMmDGjeflVV10VZWVOKwWAQ0EyGL72ta/F1772tbaYBQAoUQ4RAABJggEASBIMAECSYAAAkgQDAJAkGACAJMEAACQJBgAgSTAAAEmCAQBIEgwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAAAkCQYAIEkwAABJggEASBIMAECSYAAAkgQDAJAkGACAJMEAACQJBgAgqbzYAxyQ9U+2+iaXNZ3c6tuMiBhatqrVt7lyY32rbzMior7nkFbf5tCqbq2+TeDjZeXSxa2+zcpW3+J7VhZou+2JIwwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAAAkCQYAIEkwAABJggEASBIMAECSYAAAkgQDAJAkGACAJMEAACQJBgAgSTAAAEmCAQBIEgwAQJJgAACSBAMAkCQYAIAkwQAAJAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgKQDCoYZM2bEmDFj4tJLL43HHnusUDM1mzVrVsEfg33717vvKPYIh7R7H3io2CMc0uz/4rHvS1fewTBnzpx4+eWX46677oq77747xo0bF2vXri3kbIKhiB74/p3FHuGQdt/8hcUe4ZBm/xePfV+68gqG3bt3xw033BCjR4+OiIjDDz88hg0bFtOnTy/ocABAaSjPZ6WlS5fGli1b4pRTTmledtppp8V1113XYr0syyIior6+vlWGy7Ks5bbefqdVtvu73ml6u9W3GRFRX9b6s25/Z0erbzMi4p23994HWZbtc3m+6us7HsxI+1eA74FC7deD0ZRlJTnXocL+L572tu8P5u/R/SnE36/v/659//f4PmV5mDNnTlZWVpY1NjY2L1uwYEEWEdlbb73VvGzDhg1ZRPjw4cOHDx8+PoYfGzZs2G8L5HWEYdu2bXH00UdHWdlvn8GoqKiIiIgdO3bEMcccExERvXr1ig0bNkTnzp0jl8vls2kAoMiyLIu33347evXqtd918gqGrl27RkNDQ4tlO3fujIhojoWIiLKysujTp89HmRUAKKIuXbp86P15nfRYVVUV77zzTuzatat52aZNm6JPnz7RqVOng5sQACh5eQVDdXV1dO/ePX7+8583L1u1alWcd955BRsMACgdeQVDx44d45prrokFCxZERMQ777wT//mf/7nXqyQAgPYp7ws3TZ48OcrLy+Nb3/pWfPOb34x58+ZF3759W32gn//85zFo0KCorKyM888/P956660W97/88stxySWXxPjx42P8+PF7nVvBR/f444/HqaeeGpWVlTF8+PB45ZVXWtxv3xfeqlWrYuTIkXHfffftdZ/9X3htfTVbIjZv3hwTJ06McePGtVi+Y8eOGDNmTFx99dXx5S9/OX79618XaUKa5fOyyraydevW7Iorrsiefvrp7Ec/+lF21FFHZePHj2++f/v27Vm/fv2yl19+OcuyLJs9e3Z25ZVXFmvcduW1117LhgwZkt19993ZP/3TP2XdunXLTj755GzPnj1Zltn3beH111/PfvjDH2bl5eXZD37wgxb32f+FN3v27OyrX/1qlmVZtnPnzmzAgAHZmjVrijxV+7Z79+7soYceyk488cRs9OjRLe678MILs3vvvTfLsixbsWJFNnDgwGz37t1FmJL3lVQwvPLKK82/oLIsy8aNG5d98YtfbL59yy23ZNXV1c23t2zZkpWVlWXr169vwynbp/vvvz/btGlT8+3FixdnEZEtX748yzL7vi316tVrr2Cw/wuroaEh69atW1ZbW9u87Oqrr24OCArrkksuaREMzz77bHb44Ydnu3btal526qmnNgcExVFS71Z5/PHHR3n5b1/puWfPnhg7dmzz7YcffrjF1Sa7du0avXv3jsWLF7fpnO3RxRdfHN27d2++XV1dHRG/vd6Gfd92Onbc+ypu9n9h7e9qtosWLSriVIeOD37PP/zww9GvX7/mv38i3vvz+I//+I+2Ho3fUVLB8LueeOKJ2L17d5x77rnNy1atWtXil1rEe9eBeOmll9p6vHbnsMMOa3G7rq4ufv/3fz8+/elPR4R9X2z2f2GtWrUqysrKWlxX5phjjolNmzbF1q1bizjZocn3e2nK68JNreVv//Zv4/nnn9/v/RMmTIgRI0bEwoULY+rUqbFy5cro3LlzzJ49OyLeu+Jk165dW3xORUVF7NjRfq47Xij57vv3/fCHP4yZM2c237bvD86B7v8Psv8LK9+r2dI2fL+XpjYNhltvvTWv9c4///z4y7/8y5g4cWLcdtttMXny5OjTp89+rzjphzkt330fEfHqq69GQ0NDDB8+vHmZfX9wDmT/74v9X1j5Xs2WttG1a9fYvn17i2W+34uvZJ+SKCsri+nTp0dFRUXU1dVFxHtXnNy8eXOL9TZt2hQDBgwoxojt0s6dO+POO++MG264ocVy+7647P/CcjXb0uL7vTSVbDBERBx++OFx9NFHR//+/SMiYuTIkS2uNrlly5bYsmVLDBs2rFgjtiuNjY3x3e9+N6677rrmk5Deeee9t5O274vL/i8sV7MtLSNHjowVK1a0OOrjz6P4SioYXnrppViwYEE0NTVFRMS8efPiyiuvjMrKyoiIuOyyy2LNmjXxxhtvRMR7z7NfeeWV3vCqFTQ2NsYVV1wRffv2jWXLlsWSJUvivvvui+nTp0eEfd+WGhsbm38G3mf/F5ar2RbXB7/nBw0aFJ/73OdiyZIlERGxfPnyKCsri4suuqhYIxIRuSzLsmIP8b5///d/j7Fjx0a3bt1i8ODBMXjw4Bg/fnyLdZ599tm49dZbo1evXpHL5WLGjBn7fBkaB2b06NH7vLrgj3/847jgggsiwr4vtG3btsX9998fEyZMiC984QvxD//wD3HWWWc132//F1ZjY2Ncd911sXv37ti2bVuMGTOmxf6nMObPnx+TJk2KsrKyuPnmm5ujYPPmzXHNNdfEscceG5s3b45vf/vbH/rWyxReSQUDAFCaSuopCQCgNAkGACBJMAAASYIBAEgSDABAkmAAAJIEAwCQJBgAgCTBAIeI559/Pr785S/HmDFj2uTxtm3bFlOmTIm/+qu/ilNOOSX+53/+J3r16tX8LpDAx4tggENE165dY926dbFnz57kuhs3bozf/OY3B/V4V1xxRfzpn/5pPPTQQ3HaaafFPffcE+eee25UVFQ0r7Nq1aqDegyg7bg0NBxCRo0aFWVlZXHPPfd86HqTJk2KcePGRd++fT/S4+zatSsqKytj9erVUVVVtc91siyLv/mbv4kHHnjgIz0G0LYcYYBDSFlZ+kf+v//7v2PWrFkH9TibNm2KPXv2RIcOHfa7zo033hhPP/30QT0O0HbKiz0AUDg7duyImpqaOOyww+L111+PdevWxcCBA6OxsTGuvfbaOOKII2LFihXRpUuXuOeee6K+vj5+9KMfRWNjY0yZMiU+85nPRE1NTXznO9+JzZs3x8aNG6O+vj7+5V/+JY4++uh9Puajjz4a9957b0REXHfddXHsscfGTTfdFHPnzo3vfe978dprr8Vzzz0XTzzxRGzZsiXGjh0bI0aMiBEjRrThngEOWAa0W1/96lez2267LcuyLKuvr8969uyZjR49Ovv+97+fnXnmmVmWZdn27duzioqKbPHixVmWZdn69euziMjWr1+fZVmWPfbYY1mvXr2yLMuypqam7Ljjjstuv/32D33cD25jy5Yt2Xe/+93sd//K+cEPfpAdf/zxrffFAgXlCAO0U2vXro377rsvtm7dGhERnTt3jurq6oiIGDBgQIwaNSoiIsrLy+Poo4+OzZs373M7vXv3jnHjxkVERFNTU/To0WO/6+5P165d4w//8A8/4lcClALBAO3UE088EUcddVR07ty5edn7r1A488wzY+DAgXHLLbfErl27oqmpKZqamva5nf79+8fEiRPjjjvuiDfeeCN27NjRvG5DQ0OLV10cccQR+z1v4cPOZwBKn5MeoZ3avHlzbN++PRobG/e6b926dfEXf/EXceGFF8bUqVOjU6dO+93OW2+9Feeee24MGTIkbrzxxujRo0fzfVdeeWV07ty5+ePJJ58syNcCFJ8jDNBOVVVVRWNjYyxdujTOPvvs5uVZlsW0adPis5/9bJxwwgl7fV4ul2txe/bs2dG9e/c4/fTT91p3ypQpcfnllzffHjhwYN7zffBxgNImGKCdOu+88+KTn/xkXH311bF48eLo2LFjLF++PI488sjo2bNnLF++PF566aV4/PHH4ze/+U1s2LAhnnnmmfjUpz4VEREvv/xy/OpXv4r6+vr46U9/Gi+88EKsWLEi1q1bFwMGDIilS5fGWWedFSeeeOJej93Q0BAR771K433vH+lobGyMDh06RKdOnWLTpk3x5ptvxgsvvBB/8id/0gZ7BfioPCUB7VRFRUUsXLgwcrlc9O/fPyZPnhynnHJKnHDCCTFhwoR44403YsSIEdGvX7/4whe+EIsWLYqqqqr4xCc+EZdcckl85StfiY4dO8Y3vvGN6NSpUwwfPjxyuVxcdNFFUVtbG7/3e7+3z8ddt25d3HTTTRERcfPNN8eyZcuirq4u7r777oiImDlzZjQ2NsY555wTVVVVcc4558SAAQPabL8AH40rPQIASY4wAABJggEASBIMAECSYAAAkgQDAJAkGACAJMEAACQJBgAgSTAAAEmCAQBI+n+fL7fGKrG/LAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We can plot this alongside the ACTUAL gaussian signal we generated \n", "# and see how closely the fit matches the real thing.\n", "\n", "true_data = -gauss(time_axis, amplitude, mean, width) + pedestal\n", "\n", "fig,axes = plt.subplots(2,1, sharex=True, figsize=[8,6])\n", "axes[0].errorbar(time_axis, contaminated_pulse, errors, fmt='.')\n", "axes[0].plot(time_axis, flux_fit,\"g--\", label=\"Fit\")\n", "axes[0].plot(time_axis, true_data, 'r--', label=\"True\")\n", "axes[0].legend()\n", "residuals = contaminated_pulse - flux_fit\n", "axes[1].errorbar(time_axis, residuals, errors, fmt='go')\n", "residuals = contaminated_pulse - true_data\n", "axes[1].errorbar(time_axis, residuals, errors, fmt='ro')\n", "axes[1].plot(time_axis, np.zeros(len(time_axis)), '--')\n", "\n", "for a in axes:\n", " a.set_xlabel(\"t (ns)\")\n", "axes[0].set_ylabel(\"V (mV)\")\n", "axes[1].set_ylabel(\"data - fit\")\n", "plt.show()\n", "\n", "plt.hist(contaminated_pulse - flux_fit, bins=20, label=\"Fit\", alpha=0.25)\n", "plt.hist(contaminated_pulse - true_data, bins=20, label=\"True\", alpha=0.25)\n", "plt.legend()\n", "plt.xlabel(\"data-fit\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "0510c556-dd2d-4f2b-add4-48c54ce53500", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }