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{
"metadata": {
"name": "",
"signature": "sha256:121d974df0cfb4a36587368495d82ef3df19b9c002e26229df4d2de9191d99e3"
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"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Bayesian Decision Theory\n",
"#### Bayesian Classifier for 2D Classification Problem:\n",
"The decision boundary is derived by sovling the following linear equation system:\n",
"\n",
"$ g_{ij}(x) = g_i(x) - g_j(x) = 0$\n",
"\n",
"**Where** $g(x)$ is the general form of *discriminant functions* for (multivariate) normal density; and defined as follows (based on 3rd special case in ch.2 Duda et al):\n",
"\n",
"$$ g_{i}(x) = x^t W_{i} x + w_{i}^t x + \\omega_{0i}$$\n",
"\n",
"**and,**\n",
"\n",
"$$W_i = -\\frac{1}{2}\\Sigma^{-1}_i$$\n",
"\n",
"$$w_i = \\Sigma^{-1}_i \\mu_i$$\n",
"**threshold**\n",
"$$ \\omega_{oi} = - \\frac{1}{2} \\mu_i^t \\Sigma^{-1}_i \\mu_i - \\frac{1}{2} \\ln |\\Sigma^{-1}| + ln P(\\omega_i) $$\n",
"\n",
"Note:\n",
"\n",
"> Solving for the general form (above) applies for all other scenarios (i.e. when: $\\Sigma_i = \\sigma^2 I$ or $\\Sigma_i = \\Sigma \\; \\forall i$)\n",
"\n",
"> in this case, assuming equal priors so $ln\\;P(\\omega_i)$ is eliminated.\n",
"\n",
"\n",
"and\n",
"\n",
"$\\Sigma = \\begin{bmatrix} \\sigma_{11}&\\sigma_{12}\\\\ \\sigma_{21}&\\sigma_{22} \\end{bmatrix}$\n",
"is the covariance matrix of a training sample.\n",
"\n",
"$\\mu = \\begin{bmatrix}x1\\\\x2 \\end{bmatrix}$\n",
"is the sample mean vecotr of a training sample."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Concepts\n",
"**IDEA:**\n",
"\n",
"> In parametric techniques estimation, we use a training sample to estimate the parameters: mean $\\mu$ and variance $\\sigma^2$ (or, standard deviation $\\sigma$) in order to estimate the overall distribution for some random variables.\n",
"\n",
"> That is, if we know $\\mu$ and $\\sigma$ of any distribution, we can (*by employing gaussian distribution property.*):\n",
"- estimate its density \"likelihood\" that any *random variable* (of that distribution) can take.\n",
"\n",
"**Definitions:**\n",
"\n",
"> *pdf*: The probability density function, or density of a continuous random variable, is a function that describes the relative likelihood for this random variable to take on a given value. This given by the integral of the variables density over the range. *[Wikipedia]*\n",
"\n",
"> *Mean*: a weighted average of the possible values that the random variable X can take.\n",
"- Expected value of a random variable is its measure of central tendency.\n",
"\n",
"> *Variance*: Measures how far set of numbers or variables is spread out. So the variance of the random variable X is the expected value of the squared deviation from the mean.\n",
"\n",
"> *Standard Deviation*: is the positive square root of the variance.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##**See it in practie with different examples of datasets with the code below: **"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"__author__ = \"A.Aziz Altowayan\"\n",
"__email__ = \"aa10212w@pace.edu\""
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import sympy\n",
"from random import randrange\n",
"import seaborn as sns"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class DescisionBoundary(object):\n",
" \"\"\"\n",
" input: class1 and class2 [both classes are the transpose of the 2D data points matrix]\n",
" calculate and plot the decision boundary of 2D distributions, binary classification method.\n",
" \"\"\"\n",
" \n",
" def __init__(self, class1, class2):\n",
" \n",
" self.c1 = class1\n",
" self.mu1 = np.array([ [np.mean(self.c1[0])], [np.mean(self.c1[1])] ])\n",
" self.cov1 = np.cov(self.c1, bias=1)\n",
" self.cov1_inv = np.linalg.inv(self.cov1)\n",
" self.det1 = np.linalg.det(self.cov1)\n",
" \n",
" self.c2 = class2\n",
" self.mu2 = np.array([ [np.mean(self.c2[0])], [np.mean(self.c2[1])] ])\n",
" self.cov2 = np.cov(self.c2, bias=1)\n",
" self.cov2_inv = np.linalg.inv(self.cov2)\n",
" self.det2 = np.linalg.det(self.cov2)\n",
" \n",
" def Wi(self, c=0):\n",
" \"\"\"return: a matrix, - 1/ 2 * inverse of cov_matrix \"\"\"\n",
" if c==1:\n",
" return float(-1)/2 * self.cov1_inv\n",
" elif c==2:\n",
" return float(-1)/2 * self.cov2_inv\n",
" else:\n",
" print(\"pls, choose category Wi(c=1) or Wi(c=2)?\")\n",
" \n",
" def wi(self, c=0):\n",
" \"\"\" return: a matrix, (inverse of cov_matrix) * (mu) \"\"\"\n",
" if c==1:\n",
" return np.matrix(self.cov1_inv) * np.matrix(self.mu1)\n",
" elif c==2:\n",
" return np.matrix(self.cov2_inv) * np.matrix(self.mu2)\n",
" else:\n",
" print(\"pls, choose class wi(c=1) or wi(c=2)?\")\n",
"\n",
" def threshold(self, c=0):\n",
" \"\"\" return: the threshold defined above without the prior \"\"\"\n",
" if c==1:\n",
" cov, mu, inv, det = self.cov1, self.mu1, self.cov1_inv, self.det1\n",
" elif c==2:\n",
" cov, mu, inv, det = self.cov2, self.mu2, self.cov2_inv, self.det2\n",
" else:\n",
" print(\"pls, choose class threshold(c=1) or threshold(c=2)?\")\n",
" return\n",
" t = float(-1)/2 * np.matrix(mu.T) * np.matrix(inv) * np.matrix(mu) - float(1)/2 * np.log(det)\n",
" return float(t)\n",
"\n",
"\n",
" # model (based on sy module)\n",
" def disc_function(self, c=0):\n",
" \"\"\" return: (sympy) expression for the discriminant function gi(x) = x^t * Wi * x + wi^t + wi0 \"\"\"\n",
" if c==1:\n",
" W, w, thresh = self.Wi(c=1), self.wi(c=1), self.threshold(c=1)\n",
" elif c==2:\n",
" W, w, thresh = self.Wi(c=2), self.wi(c=2), self.threshold(c=2)\n",
" else:\n",
" print(\"pls, choose class disc_function(c=1) or disc_function(c=2)?\")\n",
" return\n",
" \n",
" dimensions = range(1, len(W) + 1)\n",
" x = sympy.Matrix([ 'x{}'.format(n) for n in dimensions ])\n",
" sym_matrix = (x.T * W * x ) + (w.T * x) \n",
" gx = sym_matrix[0] + thresh\n",
" \n",
" return gx\n",
" \n",
" def get_model(self, g, poly=0):\n",
" \"\"\" input: sympy expr g1(x) - g2(x)\n",
" return: sympy expr solution for x2 \"\"\"\n",
"\n",
" if poly: self.poly = 1\n",
" else: self.poly = 0\n",
" \n",
" if not poly:\n",
" x2 = sympy.solve(g)[0]\n",
" self.model = list(x2.values())[0]\n",
" elif poly:\n",
" if len(sympy.solve(g)) > 1:\n",
" x1 = sympy.solve(g)[1]\n",
" else:\n",
" x1 = sympy.solve(g)[0]\n",
" self.model = list(x1.values())[0]\n",
" return self.model\n",
" \n",
" def get_decision(self, x, model):\n",
" \"\"\" input: x1 values and the model (sympy expr equation, form e.g. x2 = 3x1**2 - 2x1 )\n",
" return: x2 values correlated to x1\"\"\"\n",
"\n",
" expr = model #.evalf(2)\n",
" if not self.poly:\n",
" # solved expr of form e.g.) x2 = .. 3x1 - x1 + 14 ..\n",
" x1 = sympy.symbols('x1')\n",
" f = sympy.lambdify(x1, expr, \"numpy\")\n",
" result = f(x)\n",
" return result\n",
" elif self.poly:\n",
" # solved expr of form e.g.) x1 = .. 3x2**2 - 3x2 + 14 ..\n",
" x2 = sympy.symbols('x2')\n",
" f = sympy.lambdify(x2, expr, \"numpy\")\n",
" result = f(x)\n",
" return result\n",
"\n",
" # Utilities functions (Plotting and data)\n",
" def plot_boundary(self, x1, x2, density=0, lab1=\"class 1\", lab2=\"class 2\"):\n",
" \"\"\" input: x1 and x2 values, \n",
" optional: publish boolean to publish plot with decision boundary.\"\"\"\n",
" \n",
" ax = plt.subplot()\n",
" plt.title(\"Decision boundary between two classes\")\n",
" plt.scatter(self.c1[0],self.c1[1], c='r', label='{}'.format(lab1))\n",
" plt.scatter(self.c2[0],self.c2[1], c='b', label='{}'.format(lab2))\n",
" ax.plot(x1, x2, 'k--', lw=1, label='Decision boundary')\n",
"\n",
" if density:\n",
" c1 = np.random.multivariate_normal(self.mu1.T[0], self.cov1, size=1000)\n",
" sns.kdeplot(c1)\n",
" c2 = np.random.multivariate_normal(self.mu2.T[0], self.cov2, size=1000)\n",
" sns.kdeplot(c2)\n",
" plt.legend(bbox_to_anchor = (1.5, 1))\n",
" plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def get_data(case='random', x1=[10,40],y1=[10,50],x2=[10,40],y2=[40,90],n=10):\n",
" \"\"\"return 2-D sample dataset for two classes, v1 and v2 for each class.\n",
" case: dataset choice from below, ranodm is default\n",
" \"\"\"\n",
"\n",
" if case=='random':\n",
" \"\"\"random data points, the classes distributed between values: x1, y1 (class1) and x2, y2 (class2)\"\"\"\n",
" [x11,x12],[y11,y12] = x1, y1\n",
" [x21,x22],[y21,y22] = x2, y2\n",
" data1 = np.array([[randrange(x11,x12), randrange(y11,y12)] for _ in range(n)]).T\n",
" data2 = np.array([[randrange(x21,x22), randrange(y21,y22)] for _ in range(n)]).T\n",
" return data1, data2\n",
" \n",
" if case==1:\n",
" \"\"\"[case 1 in duda] each feature has the same covariance: \u2211i = `\\sigma^2`\"\"\"\n",
" \"\"\"diagonal covariance proportional\"\"\"\n",
" d1 = np.array([[3,8], [2,6], [4,6], [3,4]]).T\n",
" d2 = np.array([[9,24], [6,18],[12,18], [9,12]]).T\n",
" return d1, d2\n",
"\n",
" if case==2:\n",
" \"\"\"[case 2 in duda] data points yeild identical covariances for both classes \"\"\"\n",
" d1 = np.array([[4,8],[8,8],[6,10],[6,6]]).T\n",
" d2 = np.array([[14,18],[18,18],[16,20],[16,16]]).T\n",
" return d1, d2\n",
" \n",
" if case==\"duda\":\n",
" # Duda Ch.2 Ex1 dataset\n",
" d1 = np.array([[3,8], [2,6], [4,6], [3,4]]).T \n",
" d2 = np.array([[3,0], [1,-2], [5,-2], [3,-4]]).T\n",
" return d1, d2\n",
" if case==\"buffalo\":\n",
" # HW2 of Buffalo course\n",
" d1 = np.array([[0,0], [0,1], [2,2], [3,1], [3,2], [3,3]]).T\n",
" d2 = np.array([[6,9], [8,9], [9,8], [9,9], [9,10],[8,11]]).T\n",
" return d1, d2\n",
" if case==\"midterm\":\n",
" # CS855 Midterm training samples for a three-class, 2D problem\n",
" d1 = np.array([[0,4],[-4,0],[4,0],[0,-4]]).T\n",
" d2 = np.array([[-6,17],[-10,13],[-2,13],[-6,9]]).T\n",
" d3 = np.array([[10,14],[6,10],[14,10],[10,6]]).T\n",
" return d1, d2, d3\n",
" else:\n",
" print(\"invalide data case entry\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Start From here:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## To demo:\n",
"- Get and plot training set.\n",
"- Show g(x) of each dataset sample [random | 1 'proportional cov' | 2 'exact cov' | \"duda\" | \"buffalo\" | \"midter\"]\n",
"- Show the solution of gx1 - gx2\n",
"- Plot the decision boundary. \n",
"\n",
"> repeate with different datasets.\n",
"\n",
"- The messed up samples (with plotting density).\n",
"- Classifying 3-classes (midterm problem 2) (using three instances of `DecisionBoundary()` class for 3 classifiers between c1-c2, c2-c3 and c1-c3)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"w1, w2 = get_data(x1=[0,10],x2=[0,20],y1=[-50,0],y2=[-30,0]) # messed up samples\n",
"# w1, w2, w3 = get_data(case=\"midterm\") # \n",
"# w1, w2 = get_data() # case=[random | 1 | 2 | \"duda\" | \"buffalo\" | \"midterm\"]\n",
"poly = 1\n",
"d = DescisionBoundary(w1, w2)\n",
"gx1 = d.disc_function(c=1)\n",
"gx2 = d.disc_function(c=2)\n",
"g = gx1 - gx2\n",
"\n",
"if poly: model = d.get_model(g, poly=1)\n",
"else: model = d.get_model(g, poly=0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 68
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Plot Decsion boundary"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"g.evalf(2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$$x_{1} \\left(- 0.068 x_{1} + 0.0077 x_{2}\\right) - x_{1} \\left(- 0.023 x_{1} + 0.0027 x_{2}\\right) + 0.71 x_{1} - x_{2} \\left(0.0027 x_{1} - 0.006 x_{2}\\right) + x_{2} \\left(0.0077 x_{1} - 0.0038 x_{2}\\right) - 0.042 x_{2} - 2.9$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAABHkAAAAVBAMAAAAgOy/ZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEHarIkSJZt3NVLsy\nme8Q6PJIAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAKK0lEQVRoBe1Zb4hcVxX/ze782Z2dnR1SKUYx\nO01koaDt2AqtqM188B+Etks/qB+UjKtsLRgzSEEF2wxtkLaC3SBot1YyFT9I/bMjVgX/0AE/aJGS\nkdigxMAGDVgR3TVtU9PqeM6597537rvvzT5CQr70fnj33nPP7/zO/d0z772ZAV5vrytwmRSodS9T\noKwwX8pawFWkzsxJL1yx/LIl+Y3mv+zjbN5LpToQA9+y8meZmH51aYhdS8/Hy8mR586T2oOnVlfx\n2/eurnaU7/RQTbxhFvXtp38JfGD1556zNwmowRjDrxw1deHU24e8ZNM7ptyyhpRfTiIvQogBa6ma\nzkuZgeIghVK2FezNw4WUIl/y+DSv08P2tRGKZ34x9KLaibOTZzu5rmR8HG+UZel3L8+vYYTpfhIQ\nzT13nlTG4/F5HKFrK3KiwZqe6HEGdaGFw8vFETay74oBtWAMv2ZQ1LP9wlFeMukd2NZuGWPKLy+R\njhBgIFpqF5WXNmO2kUIp2wr3poEBpZEvOD7F6/Sw/cwA16D8kg7qxs6+p1v8q7PZfqoTGSqbKHN4\n038dc4NqF0VFSGvcCm3pKtpdJvO00MIfgGlxcJclN0j0WdTTDdQ3py5ioZcAAG8wlkpALRjDr0GG\nWlD3A/fwkqT35pM5qofyq+Ql4si2VQIMWEu3LL3KK2kP4bKtcG8KGGJEvvD41FE4PWx/wwDvAP6p\ngkZDZ78NeHdkNIN6OzLMtVBlUaWvvEij8gCFXrTuBtWmjDx3mZQJMUQH+Iw4uMseN0j0WdT1HqZf\nK53DYli43zYhQmrBGH7NYqgF9WNgo0FrHUlvKkf1UH65iRRpiBEtlQeg8vLs9NkO4bKtcG8KGGJE\nvvD41FE4PUxf/OIAfwP2D1VUN3T2/wCHWUHVPhqPF1ooXaSp9HObNCq92ih3Ywc7stXjubvJXexT\nalpP0832vWk0yaKe3abqIa+UJ5etHscmvVwcRvgjBhhqQZ0HDvZlhdPLUz2UX26imDIFI1oqD+i8\ntL3US6MkD9lWYm8KGKZJixvd8PjUUTg9TF+eHeB4I716rL3wKnDjMrBr3/uXmpb8UJzE4gilf9NU\n+oUnVuiFef+Fu+lJtfedd63EbrDV47m7yYD95nxMeRSBvVBZ1OQ9w7eGb/lhOIitHscmvZsIhvg1\nh6FmVOG/VD1NjsHpSfVoR1nwsaD8XOwdiSyeuxBjtNSqx3kF6YZwiimy0kXHmEhJiySfHJ/GxEfh\n9LD9vVQ91B5tpIgidrq8QPeeLgqdygMza+xM7Wem4+udHdRedv3iN1DvY358DLgWX2g+HLu56vHc\n7cTcqajiNKbiuHxzJjVRHaRUPj1K+JPdVk8aNWPA/CE1o4q0sxPkQY3Sk+rRjrLgYzm/3EQWz12I\nES091Y0kshudxRylH8LNtnhvXoyJlEY+Pj4PEx+F08P0haZUT+llT72IgezUDgPHmyg3ytvVNmoD\nNj3CF9O8vBe3MX8W9z37v2V8gh533wF+5/yqTRl57nayyCuFLVhM+fTvaV7tsVWaFyqLmjy/wt6f\nHQbUk6qHMcxvODS1Xz2cnlSPlwzZqGksS5O2R0kuJop1MSFSMKKlVf3QrxrkZySR3WjKmX46pchK\nF+/kLB13qWmSfHx8KbwM8aunDKke+uKl02E/aWSnNtus8r1HXGsne2w6R6f92EPUHh4uduyTi/uF\nHiovVVo4chYNfJMcn7uV3bnZ6vHc7eR6Xp9ag8V8Cu+ieW0Lu5nhoSf8UFnUwLxkWw+pbfWkUQuG\n+U26ETVZGFWgj495cnF6Uj1qX35+BsvS5CCyurgIaRjR0qhebk8zPUlCTXaj060vp8EBkZUu3slF\noqZjUD8rx5fktYk6PUz/fVM9pz314i2Rndvn3na4T91Cky6m/kki1xZGqMpbM/f1NVQu1BuosYXf\nhvBd8Suvrz/2wvr6iIJodzvhzz9MpTLmKE60nVS8Qk2FyqIG9tFng77wJKjvWV//6vo6Pc5TqQlj\n71nCEVE7FL33bPTZR9Izb80qGV7hFqfN1ZO2xwSR1cWg+RpiREtaaBJ5u8ZfZql6XF6akqsnhNtt\nibbq5JjLthAj8tnj83kdxunB/ZMdqZ6pFi8qBayvsfNkf4MuJ4b0CTXVox4fJGuF31aln9ukew/f\nMW+hvb5GVR+rZO89nruZFOgFnj4JnIRgzuFO0oO/SbimQ2VRozrC+xa2MXchoLb3nhRqxsDwB9SC\nIvGP8N5NelI9OhmboMLykysHUayLDRFiREujen25yL/IGUnMbhQlP7lCuNmW2Zs6OUvHXYgR+ezx\nMcbjFaTTg/s33Xzz/r808QP+zKp0HIPYZfI1uuk0bsSUqx56NXRtahPzazSRnn75md+st4Gn8eTU\nFq4Lq8dzN5MaFTKpNILDyE8s8auaM5vbWBY1ngPeWh9g5kXfn0Lb6kmhZgyE36arqAV1A/Anzk7S\nkydXcl+0prH81pyHyGxGQsslxIiWVnXzk5qRRPLSlPzWHMLNtnhv3snFjCkYkU+OL4VXkE4P2xOg\nNsJUW6djGcRO4/vlvnmw/ww+6J5cn7Qu3D2CPcMC/SbEPX6KPf3SMVSapYtzW0XaVqSSvff47oKp\nSvVs0Dd/i8EDFHaeqsk0ZzahsqiLX1492at0sRFS2+oJqQUD5nccilpQM/3CP+QHSEpP3nucY7Sv\nBBacnycJT0IihTe7DDCipVUdM03yMpJwXi4LSbfcIksIF1n54p0cuUYtwBj5+PhSeAXm9JCeHpgD\nfGj10K1eOjY821m56xu7qQyu2bvrburMk0v9ZIdr974HeJC+t3JfPkOXX596HoWbrlv6PAWKVHLV\n47nLpPh3JryjH2HKfFKzy2zl5ofKop6lP8p6+PiZnyT8KYCrnoDaYJjfcShqQRVW9g0x05L0MH/b\nK7c4x2hfCSw4vxxECs97TMGIllZ1/hXJScJ5uSwkXXmgBZQQWfninRzHcS3EsHxyfCm8gnJ6SI/y\nM+e7x8fjV7x0bHS2s3JlDumaqZ6Ztpvv1EcquerZCUDr97HPHYGjCXUJ1K56goihQVFPRkX7imMI\nlt5wY8uEUQp+gneFP09WEp2XoTw6ARkvmZOL53lGmjeHv0lngqPJwUSd4BYtRSqVupFth0GpUxoC\nK4GXCXUJ1B8JQmUZNPVkVLSvKJTBImd+IT4KlDL4MD5GViOJystS7nhoEvFSqkfzpqSVMNl0ElY9\nrW7K7GltmzT+4aTF9LVnn/peA4W1YNGGuhrUQS4I9yVpk2O+/EJ8yBFZao8/9SN6XAWSWMq5duQ5\nYWBPboJHsJTFGzgag1MgY5l+UPnj+SYvHsj08Bduf/Qm35Bj9q/xmP5Waic9XairQJ1MBXDJqBVJ\nm+a58kvBq1DJYX083kqTxFIWB0lAytydXMpSpimLNwPgFMhYjs38deqKtnszo19F6syc9MIVyy9b\nEvoufAVbNm9u0v8DXw84hrAiDpIAAAAASUVORK5CYII=\n",
"prompt_number": 77,
"text": [
"x\u2081\u22c5(-0.068\u22c5x\u2081 + 0.0077\u22c5x\u2082) - x\u2081\u22c5(-0.023\u22c5x\u2081 + 0.0027\u22c5x\u2082) + 0.71\u22c5x\u2081 - x\u2082\u22c5(0.0027\n",
"\u22c5x\u2081 - 0.006\u22c5x\u2082) + x\u2082\u22c5(0.0077\u22c5x\u2081 - 0.0038\u22c5x\u2082) - 0.042\u22c5x\u2082 - 2.9"
]
}
],
"prompt_number": 77
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sympy.lambdify(3.0, g, 'numpy')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "SyntaxError",
"evalue": "invalid syntax (<string>, line 1)",
"output_type": "pyerr",
"traceback": [
"\u001b[0;36m File \u001b[0;32m\"<string>\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m lambda 3.0: (x1*(-0.068435034038026*x1 + 0.00771811423461762*x2) - x1*(-0.0231228160611144*x1 + 0.00272530221277638*x2) + 0.711691882553158*x1 - x2*(0.00272530221277638*x1 - 0.00603157970347022*x2) + x2*(0.00771811423461762*x1 - 0.00385089843418553*x2) - 0.0418939722635479*x2 - 2.86663940708145)\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n"
]
}
],
"prompt_number": 109
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"eq = sympy.Eq(x2**2 + 10*x2 + 21)\n",
"sympy.solve(eq)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$$\\begin{bmatrix}-7, & -3\\end{bmatrix}$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAAAZBAMAAACofZ/wAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAu90iEM0yq5mJZkR2\nVO9xXn4HAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAElEQVQ4EZ3UvQqCUBQH8L8fFJiktEYQQrtr\nS1uz0hCN0Qvk2Ci0NEZDYEP4BkEtjT1Cb+DS1hLUFIRdJZdz7wXtLHLP+XnvOSqi5bgoF0dnjW45\nmikt+F/PFlG0Fh/Vjzp070OapoFQayGSmHSyBOpCDPMDq0s062Ir1o07PJ9ooHERa5blOgEUKcaE\nTgnsZLq2CTmtP2Qa2E9/fQ+dLMaA6ROtj7JKb8rSzRudUrWJLpaaC+VDtRcUZXK1XlDeVM9Doopl\n04b6pDphmr0FPowYyYXqwRVQXzwGzqs29wRzdxLpPCf6vuMqWq+kDenWdEo5zCuivuW3VNZOhf9J\n8AVvijjCdVsr5AAAAABJRU5ErkJggg==\n",
"prompt_number": 108,
"text": [
"[-7, -3]"
]
}
],
"prompt_number": 108
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x = np.arange(0,2, 0.5)\n",
"x1, x2 = sympy.symbols('x1 x2')\n",
"f = sympy.lambdify(x1, g.evalf(2), \"numpy\")\n",
"r = f(x)\n",
"r[0], sympy.solve(r[0], x2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$$0.0022 x_{2}^{2} - 0.042 x_{2} - 2.9$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAOAAAAAZBAMAAADanj8DAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n33obyqKRNl+yJtaIu/mStSx/AK21E1oanvrMAAAAAElFTkSuQmCC\n",
"prompt_number": 97,
"text": [
" 2 \n",
"0.0022\u22c5x\u2082 - 0.042\u22c5x\u2082 - 2.9"
]
}
],
"prompt_number": 97
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"e = (\"0.0022x22\u22120.042x2\u22122.9 = 0\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 95
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"minr = min(min(w1[0]), min(w2[0])) - (30)\n",
"maxr = max(max(w1[1]), max(w2[1])) + (30)\n",
"x = np.arange(minr, maxr, 0.1)\n",
"bound = d.get_decision(x, model)\n",
"print(\"cov1:\\n{}\\ncov2:\\n{}\".format(d.cov1, d.cov2))\n",
"if poly: d.plot_boundary(bound, x, density=0)\n",
"else: d.plot_boundary(x, bound, density=0)\n",
"if poly: d.plot_boundary(bound, x, density=1)\n",
"else: d.plot_boundary(x, bound, density=1)\n",
"model.evalf(3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"cov1:\n",
"[[ 9.44 18.92]\n",
" [ 18.92 167.76]]\n",
"cov2:\n",
"[[ 22.84 10.32]\n",
" [ 10.32 87.56]]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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5h6AUET2B04HtgDWBPSNijWqj6tRqwBbleWQB/JG/UZxD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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10ce4f350>"
]
},
{
"metadata": {},
"output_type": "display_data",
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mNRqnYRiEhQWcs01OPRb566//C8BNN93GnXfeg6en56UIs06qK9fK5aYy7RIW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\n",
"text": [
"<matplotlib.figure.Figure at 0x10bd895d0>"
]
},
{
"latex": [
"$$0.11 x_{2} + 4.41 \\cdot 10^{-16} \\left(3.09 \\cdot 10^{29} x_{2}^{2} + 4.14 \\cdot 10^{30} x_{2} - 8.17 \\cdot 10^{30}\\right)^{0.5} + 7.85$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAApEAAAAgBAMAAAC4DD4BAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n1NtU+x934L98Lqs091Rg8wAAAABJRU5ErkJggg==\n",
"prompt_number": 71,
"text": [
" 0.5 \n",
" \u239b 2 \u239e \n",
"0.11\u22c5x\u2082 + 4.41e-16\u22c5\u239d3.09e+29\u22c5x\u2082 + 4.14e+30\u22c5x\u2082 - 8.17e+30\u23a0 + 7.85"
]
}
],
"prompt_number": 71
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Midterm Problem 2: classifying 3 classes\n",
"By combining three classifiers"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"w1, w2, w3 = get_data(case=\"midterm\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"d = DescisionBoundary(w1, w3)\n",
"g = d.disc_function(c=1) - d.disc_function(c=2)\n",
"model = d.get_model(g, poly=1)\n",
"\n",
"d1 = DescisionBoundary(w2, w3)\n",
"g1 = d1.disc_function(c=1) - d1.disc_function(c=2)\n",
"model_1 = d1.get_model(g1, poly=1)\n",
"\n",
"d2 = DescisionBoundary(w2, w1)\n",
"g2 = d2.disc_function(c=1) - d2.disc_function(c=2)\n",
"model_2 = d2.get_model(g2, poly=1)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(\"cov w1 == w2 == w3:\\n{}\".format(d.cov1))\n",
"print(\"eig-vals and eig-vecs:\\n{}\".format(np.linalg.eig(d.cov1)))\n",
"\n",
"x = np.arange(1.5, 20, 0.1)\n",
"bound = d.get_decision(x, model)\n",
"x1 = np.arange(9, 30, 0.1)\n",
"bound1 = d1.get_decision(x1, model_1)\n",
"x3 = np.arange(0, 8.5, 0.1)\n",
"bound2 = d2.get_decision(x3, model_2)\n",
"\n",
"plt.scatter(w1[0],w1[1], c='r', label='$w1\\;points$');plt.scatter(w2[0],w2[1], c='g', label='$w2\\;points$');plt.scatter(w3[0],w3[1], c='b', label='$w3\\;points$')\n",
"plt.plot(x, bound, 'k--', lw=1, label='bound $w1-w3$')\n",
"plt.plot(bound1,x1, 'c--', lw=1, label='bound $w2-w3$')\n",
"plt.plot(bound2,x3, 'y--', lw=1, label='bound $w1-w2$')\n",
"\n",
"plt.legend()\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"cov w1 == w2 == w3:\n",
"[[ 8. 0.]\n",
" [ 0. 8.]]\n",
"eig-vals and eig-vecs:\n",
"(array([ 8., 8.]), array([[ 1., 0.],\n",
" [ 0., 1.]]))\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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4P/+8ld69+1K5cmVWr/6MIUOGM2rUOCIidhAbewiA6Ogo5s9/nWnTnuKxx0Yw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\ni5qgNgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10c4fdad0>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Boundaries Gallery"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Duda excercise"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Duda, ch.2 ex1:\n",
"[[ 0.5 0. ]\n",
" [ 0. 2. ]]\n",
"[[ 2. 0.]\n",
" [ 0. 2.]]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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WTBs3bhy3334rJ5xwLLvttjsHHrg/s88+T9VlVWquueZiox/8qOoy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\n",
"text": [
"<matplotlib.figure.Figure at 0x10bcb9b50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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UNI+uiIjsY9GihSxfvowvv/yO0NDQQIcjInJUlOiKiMg+unc/iW+//ZHIyMhA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B8nwl2cCJ+uXTYqKnkmF9kmJ9lGB3bVgkHRo0NHUkvRn4wQjIdoCnfTETs90UKpJYeZWROZ4igZ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\nCCGEEEIIIYQQQgghxOXw/wFXcFBDTk6zagAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x109b36110>"
]
},
{
"latex": [
"$$0.1875 x_{1}^{2} - 1.125 x_{1} + 3.51$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAOkAAAAZBAMAAAAmixTJAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
"prompt_number": 66,
"text": [
" 2 \n",
"0.1875\u22c5x\u2081 - 1.125\u22c5x\u2081 + 3.51"
]
}
],
"prompt_number": 66
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Special cases: proportional covarince"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"proportional covariance:\n",
"[[ 0.5 0. ]\n",
" [ 0. 2. ]]\n",
"[[ 4.5 0. ]\n",
" [ 0. 18. ]]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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P/T4wJDOPmN8+arVabRHrlCRpsdPS0uI3n1KFOjpG9z0yc+LcxxFxNnBNR143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\no9XzNSh6dds1aFD/Th5y8Wb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"text": [
"<matplotlib.figure.Figure at 0x10ba0b110>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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SSo0HglrrGuuhn2mtZ1u3CVrr963Hbf0UYbMC5nzgBczW0XcG2eyuZXVZP4P03zW1d2us\njb77y/Z+vPfz7l2W8/W6310Xo496oZSKAh4Cvq21ngE8AkT1WqS9+47WehlQYA2Uc2itv+5nX/ok\nIVcIIYQQYgRYA8/+jtkXFeBd4KdKKaf1vFJKRQPvA99XSrmtxxN3KScGSNBavw38AphpPWXDDMEt\nQKNSaoH1+CWYX+0Px3yr64QdOB9YCqwCjlZKJVv9iS8APraWr1ZKTbGWP4fBB5EtAb6rlLIrpTIx\nu0DAjkBbr5SKBb4zSDlPYLYo/99wdg5k4JkQQgghxN5wW90RdppCzHrun5jdBb6wBmLVYPa1fdca\nOPa5UsoHvAn82lrHAOKAV61WTxtwba/nusPlZcDfrdC8jR1f6++qrzBqYA6O+wvmwLMPtdYvAyil\nbsIciGYD3tBav26tcxPwBlALfA7E9LMNA0Br/bJS6jjga6AEWGY93qSUegT4CqgCVvZT727PYPZJ\nfnaQ5XbTX1P5iKupaRn2fHHDkZoaR21t677chNiP5HyGFzmf4UXO59CkpXn22/9YIcKVNZPDGVrr\ny4a7rrTkCiGEEEKIMUcp9SBwEnDqnqwvIVcIIYQQQow5Wuur9mZ9GXgmhBBCCCHCzpBacq0Rdp8D\nZVrrM5RSSZjzmOUDRcD5fczxJoQQQgghxKgYakvuzzFHx3UPHrsJeF9rrYAPrN+FEEIIIYQYEwYN\nuUqpHMwOv/9kx2wMZ2JeXQPr59n7pHZCCCGEEELsgaG05P4ZuB4I9XosXWtdbd2vZscl3IQQQggh\nhBh1A/bJVUqdDtRorddYl1TbjdbaUEoNOgduYmI0Tqdjz2o5RKmpcfu0fLF/yfkML3I+w4ucTyHE\nWDfYwLMjgDOVUqdiXobNo5R6EvPSbhla6yrrUm01A5YCNDZ27H1tByCTk4cXOZ/hRc5neJHzKcTQ\nWZfBvVdr/YsRLjcCeEJrfeFIlhtOBuyuoLW+RWudq7Ueh3n94g+11pcAr2FeTg7r5yv7tppCCCGE\nEAcWpVQicA1w9EiXrbX2DxZwlVJTlVK3jPS2DxTDnSe3u1vCPcCJSikNHGf9LoQQQggx1rmAJHYM\npt9ntNaNWus/AS37elv9OBZYM0rbHnVDvuKZ1vpj4GPrfgNwwr6qlBBCCCHESLsIfnAa3JYJ8e/A\n8t/DecBe9adUSk0EzgBKtdYvKKWe0FpfqpR6V2t90jDLmgOcBZQCVcBkrfV91hipZCAVeBPoAk4H\nKqzlzsPKaMB0rfWdSqlTgMuBv/fqYnoQMAdwA09prdv3Zt/HOrnimRBCCCG+CeLOgTsuhPxjIOFO\nOOVH8JsRKDcVqAXsSqk8doTmN/egLDfQClRord8ATlVKKeBirfXjwFvAT4EMoB6zVbpbmdb6ZWAS\ngNb6baucR7TWVdYyPwA2YYbk2D2o3wFFQq4QQgghvgkSCiCl+xcnkAmJe1uo1no5cBLmeKUjgGXW\nU1/vQVmfAocCS5RSNswwexnwtLVIPtCotV6G2eL7qtb6E2CC1vozpVQ8EABQSmVgtvL29hTwJ+Dc\nXlPBhi0JuUIIIYT4Jqh4A1Z0Dy5aD61fwXsjVLahte4EpgNblFKRmK2leyJZa92GOebpNczW2hLr\nufOAJ5VSHsxxUjOUUm6g03r+VOB9pdThwDxglVJqnlIqWil1IjBDa70AqNvDuh1QhtwnVwghhBDi\nABZ8GM6th0VpELcW3n4JXhihsr9USp0LNGEO9poAPKOUigGuAKYqpa4BHhmoH6xSagLgVEqdgRlS\nbwPGY07nOgt4QWu9xZq1oQYzAE9nR3/cVmvbnwI+YC6wVWvdoZSqAVKVUucDz4/Qfo9p+3xkYbea\nmpZBLxixN2TexvAi5zO8yPkML3I+hyYtzbPf/seK8KCUugSzVfip0a5LOJDuCkIIIYQQo8y6uNYP\ngezRrku4kO4KQgghhBCjTGtdyT64aMQ3mbTkCiGEEEKIsCMhVwghhBBChB0JuUIIIYQQIuxIyBVC\nCCGEEGFHQq4QQgghhAg7EnKFEEIIIUTYkZArhBBCCCHCjoRcIYQQQggRduRiEEIIIYQQ+4BSKgK4\nAogCErTWt45w2U9orS8cqTLDjbTkCiGEEELsG+cBz2qt7wOmKKUOHamCtdb+wQKuUmqqUuqWkdrm\ngUZCrhBCCCG+SVxAEmDbD9uaDHzXur8dyNkP2+ztWGDNft7mmCHdFYQQQgjxDXHRD+C02yAzHt5Z\nDr8/D+jYmxKVUhOBM4BSrfULSqkntNaXKqXeBc4EHNaiM4H/N0hZc4CzgFKgCpistb5PKXU6kAyk\nAm8CXcDpQIW13HnAx1Yx07XWdyqlTgEuB/6ulMrQWlcppQ4C5gBu4Cmtdfve7PtYJy25QgghhPgm\niINz7oAL8+GYBLjzFPjRb0ag3FSgFrArpfLYEZrf1Fp3aa07lFLHAB9qrcsHKcsNtAIVWus3gFOV\nUgq4WGv9OPAW8FMgA6jHbJXuVqa1fhmYBKC1ftsq5xGtdZW1zA+ATZghOXav9voAICFXCCGEEN8E\nCVCQsuNXJ5CZuLeFaq2XAycBrwFHAMusp74GUEolA0dqrf8whLI+BQ4FliilbJhh9jLgaWuRfKBR\na70Ms8X3Va31J8AErfVnSql4IGBtNwOzlbe3p4A/Aedqrav3cJcPGBJyhRBCCPFNUAFvrADD+nV9\nK3z13giVbWitO4HpwBalVCTQZQXV/wF+p5RyKqWOH0JZyVrrNuA4zODsAkqs584DnlRKeTB3ZIZS\nyg10Ws+fCryvlDocmAesUkrNU0pFK6VOBGZorRcAdSOy12Oc9MkVQgghxDdBEB4+F+oXQVocrH0b\nXnphhMr+Uil1LtCEOdhrAvAM8GPgt8BtmA2LCwcqRCk1AXAqpc7ADKm3AeOBM5VSs4AXtNZblFKJ\nQA1mAJ7Ojv64rda2PwV8wFxgq9VlogZIVUqdDzw/Qvs9pu2PkYUA1NS0GIMvtedSU+OorW3dl5sQ\n+5Gcz/Ai5zO8yPkcmrQ0z377HyvCg1LqEsxW4adGuy7hQLorCCGEEEKMMqVUJvBDIHu06xIupLuC\nEEIIIcQo01pXAkePdj3CibTkCiGEEEKIsCMhVwghhBBChB0JuUIIIYQQIuxIyBVCCCGEEGFHQq4Q\nQgghhAg7EnKFEEIIIUTYkZArhBBCCCHCjoRcIYQQQggRdiTkCiGEEEKIsCMhVwghhBBChB0JuUII\nIYQQIuxIyBVCCCGEEGFHQq4QQgghhAg7EnKFEEIIIUTYkZArhBBCCCHCjoRcIYQQQggRdiTkCiGE\nEEKIsCMhVwghhBBChB0JuUIIIYQQIuxIyBVCCCGEEGFHQq4QQgghhAg7EnKFEEIIIUTYkZArhBBC\nCCHCjoRcIYQQQggRdiTkCiGEEEKIsCMhVwghhBBChB0JuUIIIYQQIuxIyBVCCCGEEGHHOdCTSqko\n4GPABUQCr2qtb1ZKJQHPAflAEXC+1rppH9dVCCGEEEKIIRmwJVdr3Qkcq7WeBcwAjlVKLQBuAt7X\nWivgA+t3IYQQQgghxoRBuytorTusu5GAA2gEzgQetx5/HDh7n9ROCCGEEEKIPTBoyFVK2ZVSa4Fq\n4COt9QYgXWtdbS1SDaTvwzoKIYQQQggxLLahLqiUigfeBW4GXtJaJ/Z6rkFrnTTQ+n5/wHA6HXtc\nUSGEEOJAYrPZhvw/Vggx8gYceNab1rpZKfUmMBeoVkplaK2rlFKZQM1g6zc2dgy2yF5JTY2jtrZ1\nn25D7D9yPsOLnM/wIudTCHEgGLC7glIqRSmVYN13AycCa4DXgMusxS4DXtmXlRRCCCGEEGI4BmvJ\nzQQeV0rZMQPxk1rrD5RSa4DnlVKXY00htm+rKYQQQgghxNANGHK11uuBOX083gCcsK8qJYQQQggh\nxN6QK54JIYQQQoiwIyFXCCGEEEKEHQm5QgghhBAi7EjIFUIIIYQQYUdCrhBCCCGECDsScoUQQggh\nRNiRkCuEEEIIIcKOhFwhhBBCCBF2JOQKIYQQQoiwIyFXCCGEEEKEHQm5QgghhBAi7EjIFUIIIYQQ\nYcc52hUQYrQYhkF9fR0lJcXU1tZQX19n3eppb2/D6/XS2emlo6ODYDC407pOp5OoqCiiotxERUUR\nExNDfHwC8fEJeDzxJCYmkpycQkpKKsnJKcTExIzSXgohhBDfTBJyxTdGe3s7X365hnXr1rBt21aK\nigppa2vtd3m3201UlBu3243TueNPxTAgEPDj9XppbGykq6uTUCg04Lbd7mhSUlKtWwpJSUk9oTg+\nPh6PJ57o6Bjc7miio924XFHYbLZ+yzMMA7/fT1dXJ52d5q2jo4OOjnY6Ojrwejt6fpr3vXR1deLz\nddHV1UVnZxeBgL+nLACHw2HtbxQuVxRudzTx8fEkJCSSkJBAQkIiaWkZJCYmDlg3IYQQYiyQkCvC\nWk1NNR988D6rV69i48YNPWHUZrORlZXNzJmzyM8fR3p6htXymkJSktnyarcPrTePYRh4vV6am5us\nWzONjQ3U19dRV1fb87Ouro7S0uIhlWmz2XA4nDidDhwOB3a7g1AoSCAQJBgMEgwGesLp/uZyuUhL\nyyAzM5Pc3Hzy8wvIzx9HXl4eUVHuUamTEEIIsSsJuSIsab2Zl19+niVLFhMKhbDZbCg1mTlz5jFn\nzjwmTpxEVFTUiGzLZrMRHR1NdHQ0mZlZAy7b2emlvr6exsaGnUJxc3NzT6ur1+vF6/USCAQIhbpD\nbRC73Y7T6cRud+B0OomMdFldJsyb2QocTXR0DNHR7p6WYbfbTXR0NC5XFJGRkbhcUbhcLiIiInZq\nkQ0Gg3R2eq1uGmbLcEtLM01NjTQ3N9PQUE91dRXV1ZVUVVVSWlrMqlUrdjoOWVk5TJw4iYkTJzFh\ngvkzLs4zIsdZCCGEGI799p1jTU3LPm12Sk2No7a2/6+exYFlT89nVVUlf/vbg6xatRyAgoJxnH32\neRx++JF4PPEjXc1vtNbWFoqLiykuLqS4uIji4kK2bdtCe3v7TsslJiYxYcJ4MjKyycnJIzs7h+zs\nHNLS0nE4HKNUe7E35P12aNLSPNKvR4hRJC25ImysXLmce++9m7a2Ng46aAYXXHAxc+YcIv1H95G4\nOA8HHXQwBx10cM9jhmFQVVXJ1q1b2LpVs337VkpKivn888+Bz3da3+mMID09g/T0dOtnBqmpaSQn\np5CcnExyciput3R/EEIIsWck5IoDnmEYPPnkv3j22SeJjIzkmmuu51vfOkXC7Siw2WxkZmaRmZnF\nUUcd3fN4bKyTtWu/pqysjPLyUioqyikvL6Wqqory8tJ+y4uKitptgJ7H4yEuzkNsbCwxMb1vMcTG\nxuLxxONyufbH7gohhBjDJOSKA5phGPzjH3/h1VdfIiMjk1/96g4mTpw02tUSu3C73UycqJg4Ue32\nnNfrpaamiurqKmugXn3PVG7dfZcLC7fh9/uHvD2Xy4XHE098fDzJyamkpqaSmppGamoaubn55OXl\nExkZOZK7KIQQYoyRkCsOaE8//TivvvoSeXn5/P7395OQkDDaVRLD5Ha7yc8fR37+uH6X6T2DRVtb\nKy0tLbS3t9HW1kZHRzttbW09v7e2ttDSYg7mKy0tZevWLbuVZ7fbyc7OZdy4cUydOp2ZM+eQn18w\n5Bk1hBBCjH0ScsUBa+nSj3n66cfJyMjid7/704gHXMMwqKmvpbSylOaWJto62mnvaKfd204wGMRm\ns2G327Hb7DidEbijonC7zAtEuF1RRLujcUe5e366Il1EuaKIjIjc464UhmEQCAbw+/34A9bNH8Dv\n9+Hv9XggECAQ7DU7QyjUM+WYzWbDBtgdDlwRkURGRBIREUmUy0VsTCyx0bG4Il1jqrtH7xkshsMw\nDNra2qitraa2tpaamiqKi4soLNxOUVEhpaXFLFmyGID4+AQOPngmhxwyXwYqCiFEGJDZFcSYNNj5\nrKqq5Morf0QwGOSBB/46YCvgUHX5uvjiqzV8tu4ztpdsp7SyDG+nd6/L3ZXNZiMyIhKnw4nDYU4H\n5rDvPMuAYRgErYAaCgUJBIMEggECgcCI16cvEc4IPLFxJCUkk5xo3lISk8lMyyQrLZOs9Cyi3UMP\nnGPx79P9fFzvAAAgAElEQVQwDKqrq1i//ku+/PIL1q5dQ319HWC29M6cOZsjj1zIkUculG8IdjEW\nz+dYJLMrCDG6JOSKMWmg8xkIBLjuuqvZvHkjv/jFjZx44sl7vB1/wM/SVZ+wbPUyVn/1BV2+LsC8\nbG9ORg55WbnkZeWRnJhMTHQMMe4YYtzROJ1ODMMgZBiEQkH8AT+dXV3mPLNdnXg7vXg7vXR4O3pu\nXb4uunxddFo/g8EAgWCQYCBAMBRi14ZTu91hBWE7dpuDiAgnTmcEToeTCKeTiIhIIpwRREREEOF0\nmsHZ6STCGWH+dESY69odOOx2bHa72ZprGBjQ0yLs8/vw+X10dnbS1tFGW3sbrR1ttLQ2U9/YgD/Q\nd1/YBE8CuZk55GXnk5eVS352HvlZ+cT30QJ6IPx9GoZBeXkZy5d/wqefLmHz5k2AOQvEggULOe20\ns5g+/aAx1cI9Wg6E8zkWSMgVYnRJyBVj0kDn88kn/8UzzzzBMccczw03/GqPQodhGCz/Yjn/9/y/\nqKipBCA3M4fDZh/G4XMOY1LBJJnDFfM4tba3Ut9YT019LZU1lVTWVFJRU0l5VTnVddW7XXktwZNA\nXlaeGXqz88nPyWfujGnsg0bxfaq2toZPPvmYt99+s+dKdbm5eZxyyhmcdNKpw+46EU7k/XZoJOQK\nMbok5Ioxqb/zuXXrFq655ickJibx97//HzExscMue1vxNh759z9Zt2k9drud0449ldOPP43czNyR\nqPo3SmdXJ2WVZRRXlFBSXkJxeTElFSVU1VbvtmxKYgr52XnkZuWa4Tc7j9zMXGKiY0ah5kNnGAbr\n13/J22+/ziefLCUQ8BMdHcMpp5zOWWedS2pq2mhXcb+T99uhkZArxOiSkCvGpL7Op8/n49prf8r2\n7du4887fM3fu/GGVaRgGz772b55+9RkMw2DezHn88Ls/kHC7D3R2dZqht6KE4rJiKmrL2VK4jfrG\n+t2WTUpIIicjh5zMbHIycshKzyI7PYv0lHSczrE1Nra5uZm33nqd119/icbGRhwOBwsXHsu5557/\njZq6Tt5vh0ZCrhCjS0KuGJP6Op+PPvp3XnjhOU4++TR+/vPrhlVeKBTib0/9nTc/eov0lHSu+t7P\nmDN99khWeb8wDANfwE+Xv6tnBoVAKEggECBkmDMomD1uwcaO2R/sdpvVlzeSSGcEEc4IIp0R+61/\naff5bOtoo7SilOLyEkoqSiitLKO0opSa+prd1rHb7WSkZpCTkd0TgnMzc8nLziduD1rwR5LP52Px\n4g946aXnKS4uAmDmzNmcc853mDfv0LCfikzeb4dGQq4Qo0tCrhiTdj2fa9as5pZbriM7O4cHH3x4\nWJd7DQQC/PnR+/loxWLG5Rbw21/+lqT4xH1R7aHVJxigpaONlvYWWjpaaWlvNX92tNLmNQd9tXrb\n6ejsoKOrg45OLx1dXjp9XfgCvt36wO4pm82GOzIKt8tNtMtNTFQ0nhgP8dYtITae1PhkUhNSSE1I\nISHGs8fhbbC/z86uTsqrK6iorqC8qrznZ3l1BS1tLbstn5yYTEFOAeNyCpg0bhJq3CTSktP2+6Aw\nwzBYvfozXnrpP6xZY162OCcnl/POu4DjjjuRiIiI/Vqf/UXeb4dGQq4Qo0tCrhiTep/P5uZmrrzy\nhzQ1NXLffX9h8uQpQy4nFArxx4fv5eOVS5gyYTJ3XHvHiLcCGoZBR5eX+pYG6lsaaGhppKG1iWYr\nxDa3t1iB1gy2HV1DH4HljowiOioatysKd2QUrggXrkhXT2tsRPc0ZHZnTwA158G1ETJC5i1k/gwG\nzVkgfAE//mCATl8n3q5OOrq8dHR20N7ZQTAU7LcuToeTjKQ0spIzyUrOICs5g/z0HPLT84iLHviY\n7s3fZ0tbC2WV5ZRVma2+RWVFFJUVUd/UsNNynlgPkwomMl1N56DJ01HjFJER+++qZoWF23n55f/w\n0Uf/JRAIkJiYxKmnnsGpp55BUlLyfqvH/iDvt0MjIVeI0SUhV4xJ3efTMAwWLfo1K1Ys43vf+yHf\n/e5FwyrnqZef5pnXnmXapGn89hd34I4aegtwX/yBAJtKNFsrCimtLae0poySmjLavO0DrhfhjMAT\nHYcnOhZPtIe46FjiYzx4YuLMx2M8eKJjiXObF2OIdccQ7YrGsR++9q6qqubLL7cxa9ZEYjwxNLc3\n09zeQmNrM7XNddQ111PTWEdNUy0V9dW0d+6+r8meRPLTcxmXkc/4rHFMyCwgKyWzp/774u+zta2V\n7aWFbCnagi7cwtaiLTsNeHM6nUweP5l5Mw7h0FnzycvK2y8tvbW1tbzyyn949923aG9vx+l0cvTR\nx3HOOd9hwoSJ+3z7+4O83w6NhFwhRpeEXDEmdZ/PN954hYceeoCZM2dz111/HNa0XivXruKOBxaR\nkZrO/bf9GU+sZ4/qUtNYy4qNn/PFlnWsL9xApzWXLpj9RrOSMshITifZk0SKJ5FkTxKJcQk7ffXv\njowak/OrvvXWam66yU9V1VyyslZx770xnHDCrH6XNwyDVm8bFXWVlNdVUlxTRnFVCcXVpdQ27zyo\nLCrSRUFGPhOzxjFTTSE1LoP8tJx92rra1NLEBv01X+mv+GrzBraXbu/p3pGRms78mfM5cu4RTFPT\ndrsAx0jzer18+OH7vPrqi5SWlgBmv92zz/428+YddkBPUSfvt0MjIVeI0SUhV4xJqalxvPPOh/zm\nNzcTExPDQw/9k5SU1CGvX1tfy5W/uQqfz8d9v/ojE/InDLsOhZXFPP/xK3yyfjkhKyjlpmYzZ9IM\npuZNJjctm+yUTCKc+7bfpWEYeP2ddPi8dPi6f3rxBwMEg0ECoWBPNwObzWYONLOZA80inRFEOiJx\nOSOJinAR43ITHenG5TQvLXzGGW+zcuX5PdtasOA5Xnrp1D2qZ5u3ncLKYrZVFrK9oohtlUWU1JQR\nCoV6lrHb7WQnZzIuI49xmfkUZOSRn55LanzKPhms1dzazOfrV7Ny7SpWr1/dcwW7BE8CR8w9nCPn\nHsmMKQfv08AZCoVYvfozXn75P6xZsxqAjIwszjrrHE488RRiYsb2FGp9kffboZGQK8TokpArxqTa\n2lKuuOIKgsEgd999HwcddPCQ1w0Gg9z4+5v5esvXXHXZzzjlmOFdEW1Tiea5xS+zatMXAIzPLODU\n+Scwd/Js0hJShlXWUPiDfqqaa81bSx1VLbXUtNTT2NFMY0czTR0tdAV8I7pNh91BTKSb5lo7rfW5\n+DviCLQlkB5fyfVXH0pqbBJpnmSSYhKw2/Y8fPr8PoqqS6htreZLvYmiqhIKq4p365fsjowiPz23\n59YdfhNid7962p7yB/ys3/wVn37+KctWL6e5tRkwpzA7/ojjOGHB8ft8OrnCwm289trLfPjh+/h8\nPtzuaE466VTOOec80tLS9+m2R5K83w6NhFwhRpeEXDHmlJWVcuON19DU1MQtt9zOkUceNaz1H3/x\nCZ5743kWzFvAzT+5ccjdBDp9Xfzrnad5Y8W7AEzLn8x3jzmHuWrWiHQ1CAQDlDVVUVhXRnFdGaWN\nlZQ2VlLVXEvICO22vMPuIMHtISHavMW6oomOdBMdaQ5Ci3RE4LA7cNodOOwObDZbzzRiwVCIQCiA\nL+DHF/DRFfDT6e+i3ddBR5eXdp+Xts52qhobCNj6D9AuZySZ8WlkxqeRlZBGXlIW+cnZ5CRmEhXh\nGvK+9/77NAyDmqZatlcWU1xd2nMrq63YbeBbQkw8+Rlm6C1It1p/0/OI2Mv5c4PBIBu2bGDJqqUs\nWbmEtg6zn/GUCZM5ccGJHH3oQqLd++6KZs3Nzbz99uu8/vorNDTU43A4OO64Ezn//AvJycnbZ9sd\nKfJ+OzQScoUYXRJyxZhSXV3FddddTV1dLT/72bWcdtqZw1p/5dqV3PHAb8lIzeD/3X4/sYOM+u+m\ny7Zy7/N/obyukry0HK4863IOGjdtT3YBMINcRVM1m6q2sbFqG1triiiuL8cfDOy0XFxUDLmJmeQk\nZpIRn0qGJ5V0TwrpnhQ87ti9akUdqhde/IR1m+oomOxk+pwcalrrqWtroLqljoqmaiqba/D6u3Za\nx4aNjPhUJqbmMyEtn4lp+UxMzSc2qu+v3ofy9+kPBCivq6C4upSi6lKKqkoori6hurF2p+WcDifj\nM/OZlD0BlTuRGeOmkZY49K4su/L5fSz/YjnvL/0va75ei2EYuCJdHDVvAd9aeCLTJ03fZ/2p/X4/\nixd/wH/+8yylpSXYbDaOOOIoLrroUsaNG34Xm/1F3m+HRkKuEKNLQq4YMyorK7jlluuoqqrk6quv\n5pRTzhnW+uVV5fx80bUEAgHu+/W9TMgbP+g6wVCI5z56iWc/epFQKMQ5C07j0hMvGPbgKMMwKG2s\n5MvSjXxZtpGvK7bQ0tnW83yEw0l+cjbjUnIZl5JLQXIOeUlZxLvjhh2g/EE/rb4OuoI+/KEA/mAA\nf8gMz2Z/XDsOm50IhxO3Mwq3MxKX04VjDwOzYRg0eVsob6ympKGC4vpyihvKKaorpa2rY6dlsxLS\nmZw+DpU+HpU+jnEpuUQ6I/bq77Ojs4PimjKKqkrYXlnElrJtFFYVEwjuaPVNT0xjxvjpzJwwnTmT\nZhIfs2eDDOsa6vjvpx/w3tL3qaqtMvcpPYuTFn6LExecQIInYY/KHUwoFGL58k957rmn2bJlMzab\njaOPPo5LLvk+WVnZ+2Sbe0Peb4dGQq4Qo0tCrhgTtm7dwm233UhjYyOXXPJ9fv7zK4d1PlvaWrj+\n7hsorSzjlz+8luOPPH7QdVq9bfzxuQdZrdeSEp/ML877KTMnHDTkbfoCftaUbGDZttWsKd1AQ3tz\nz3NpcclMzZzIlIwJTMmYwLiUHJyOwb9iNwyDmo4GSluqqG6vp7qjger2emo6GmnpaqPV14430DVo\nOX1xO114XLHER8biccWQEBVHsjuBVHei+TM6kczYFCIdQxtIZxgG1S11bK0tZmtNMVtrithSXUi7\nb0d/W7vNTl5SFgflTSTHk834lFwKUnKIjtzbqdz8FFWVsLFEs277BtYXft0zjZvNZmNy7iTmTZ7N\n/ClzGJeRP+wPEqFQiPWbv+K9Je/x6epl+Pw+nA4nh80+lJOPOZlZU2fuk4FyhmHw+eereOyxf7J9\n+1acTidnnnkOF154KbGxo3uVt97k/XZoJOQKMbok5IpRt3btFyxadCudnV5+/OOrOPPMc4Z1Prt8\nXdzyx1+zcetGzj3pHH54weWDrlNUVcKdT91LZUM1h6hZXPfdq4hzDx4iAsEAqwq/ZOmWz/iseB2d\n1tf4CW4PM3OnMiNnCrNyp5HuGXyAWtAIUdZSxaaGIrY0lFDcXEFxS2WfITbC7iTeFYfHFY0nMpbY\nyGiinJFE2J1E2COIsDvAtuMCEEEjhD8YwBvowhvoxOvvot3vpcXXRnNXG4F+Lvpgw0ZKdALZsWlk\nxaVSEJ/NuPgsCuKziHIO3gc3ZISoaKphc9V2ttQUsrWmmMK60t0GzmV4Us0W7ZQc8q1+vpnxaUP6\nINDnsQyFKKwsYs3W9Xy2+Qs2Fm/umREjJzWL42cv5NhZR5G6BwMHW9vb+Gj5R7zz8bsUlRWZ9U9N\n51tHma27yYkjf6GHUCjEkiWL+de/HqampprExCT+93+vZOHCY8fEVHTyfjs0EnKFGF0ScsWoWrp0\nMX/4w90AXH/9zSxceCww9PMZDAb53V/vYdkXyzn60IVcf8V1g7awLV23nPtf+hudvi7OP+YcLj7h\n/EEvulDTWs+7G5bw/tdLe1psM+PTOHzCHI6cMJdJ6QWD9p/1B/3ohhLW1Wo21G1DNxTvFGgdNjvZ\ncekUxGeS58kkMzaFtOgk0mOSiXeNXP9cwzDwBrpo7Gyh3ttEnbeJuo4majoaqGiroby1lobO5p3W\nsWEjMzaFiYl5TLJu4xNzcA8h+AZDQTpsraza9DWFdaU9t97dOQCcdgfZiRnkJWaRk5RJTmIGeUlZ\n5CRmEjHM8Nva0cbqLV+yfMMqVm5ajT/gx2azMWPcdE6efzxHTJ8/7EBtGAabt2/mnY/f5eOVS+jy\ndWG325k/cz6nHXsKs6fPHvHWXZ/Px4svPse///0UPp+PQw6ZzzXXXE9y8sjP8jEc8n47NBJyhRhd\nEnLFqHn55Rd45JG/EhXl5rbbfsusWXN6nhvK+QwEAvzh4Xv55LNPmDl1BouuvYOIiP6/ag+GQjz+\n7jO8uPR1oiJdXPvtn7Lg4MMG3MaW6iKe/ew1Pitch4FBTKSb46ceyQlTFzAuJWfAVjXDMChpqeTz\nqq9ZW72Zr+u34wv6e57PiUtnclIBk5MLmJyUT64ngwj74MErGArS5GvDG+zCG+iiM+ijM+jrmaHB\nhg1sEGFzEuWMJMoRSZTDRYwzitgI95DCcmegi7LWaoqaKyhsKqeouYJtTWW0+3t1RcBGfnwWU5IL\nmJI8jinJ48iMSenzmOx6Pg3DoKG9ieKGcorry3v6+pY2VOw2yM1hd5CdkE5Bcg7jUnKZnDGeSWkF\nuCOjBt0PMOfv/eSrFXy4ZgkbijYBkBSXyCnzT+Dk+SeQFDf8frYd3g4+WrGYdxa/y7aSbQBkpmVy\n6jGncOJRJ+zxhUf6U1FRzkMP3c8XX3yOx+Phl7+8mfnzB37t7kvyfjs0EnKFGF0ScsV+FwwGeeSR\nv/Hqqy+SmJjEokX3MHHipJ2WGex8+gN+fv+3P7Dsi+VMV9NZdO3tA16y19vVyb3PP8iKjZ+TnZLJ\nrRdfT25a/wN6CutKeXrFK6woXAuASh/HqQcfw4KJ8wacOssX9LO2ehOrKjewuupr6rxNPc/lezI5\nOG0SM1InMT1lIh5X/xcB8AX9VHTUUd5RS1l7LRUdddR3NtPQ1UKzrx2DPftzctjsxEVEkxAZS6Ir\njrSoRFLdiaRFJZIRnUSGOwlnP0HbMAyq2uvY0ljCloZStjQWs6WhBF9oR3BPcMUxNXkcU1PGMzV5\nHBMScohwDH3gmWEY1LU1UtpYQWlDJaUNlRTWl1JSX75T+LXbbOQlZTMlcwKzc6cxM3casa7Bp/wq\nr6vkzRXv8v7qxXR0eXE6HBw9cwHnHXUmeek5QziCu9PbNW9+9BYfr1yCz+8jwhnBsYcfwxknnDGk\nwY9DZRgGr7/+Cv/859/w+/1ceOElXHTRZaNy5TR5vx0aCblCjC4JuWK/CgaD3HffPXz00X/Jy8tn\n0aJ7SE/P2G25gc6n3+/nd3+9hxVrVzJjygxuv+Y2olz9t+rVNtWx6Mk/sr2yiJnjD+Lmi67tt/9t\nXVsDj37yPEu3fAbA1MyJXHzo2czImdJvq60v6Gd11UY+LVvDqsqverogxEZEMydjCnMzpjE7fQqJ\nUf237jV2taKbS9DNpWxuLqGorbKnT2k3p81BkstDkiuORJeHGGcUbqcLl8Nsre2ePcHAwDAgEArg\nDfroDJqtvW1+L82+Npp97TT72+jq1arczWGzk+FOIjsmjdyYNAriMhkfl0WiK67PegdCQQqbytlY\nX8jmhkK+riukztu4U50LErI4OHMiOe4MJibmDrnFureQEaKmpZ5ttcVsri5kc9U2ttYU9/T1tdvs\nTMmYwLyCGSxU8wftE+3t6uTDNUt4bfnblNVWYLPZOOrgw7n4hO+QnZI1rLp1a21r5b+ffsCbH75J\nRU0lAHMPnstFZ/0PUyZM3qMy+7J1q+bOO39DdXUVRx11NDfeeOt+D7ryfjs0EnKFGF0ScsV+EwqF\nuP/+P/L+++8wZco0Fi26h7i4vsNTf+fT7/dz10N3s+rLz5g1bRa3Xf3rAQOuLtvKHU/8gaa2Zk6e\ndzw/OfMHffbFDIaCvLHuQ55a8TJefxcT0/K55LBzmJN3UJ/h1jAMtjWV8X7Rcj4uWd3zNX5adBJH\n5szi8KwZqOSCfqft6gz62NRUzPqGbaxr2EZ5x465YB02O+PissiPzSAnJpWcmFSyolNJiIwd0UFH\nbX4vtZ2N1HqbqO5spLKjjvJ2s+XYG9y5y0BCZCzj47JQ8bmo+DzGx2X1OwtDTUcDG+sK2Vi/nS0N\nJWxvLttpoJvT5iDXk8G4BHNQW54nk4L4LBKjPMPav0AwwNbaYlYXf8UXxV+hqwt7WrgPylIcN+UI\njpw4l5gBWnhDoRArN63m2Q9fYFtFEXa7nRPnHstFx59HsidpyHXZtczV61fzwtsvsn7zVwAcMfcI\nvn/eZWRnjMx0YK2tLSxadCtffbWOhQuP5YYbfrVfg6683w6NhFwhRpeEXLFfGIbBAw/cy7vvvsXk\nyVO4664/EhPT/2wGfZ1Pn9/HXX+5m8/Wfc6c6bO59epf44rsv+vAZ5vX8Ltn/ow/4ONHp13GGYef\n3GeI2lpTzIMfPsa22hLiomL4/pHf4YSpR/bZd7Ur6OODopW8s30Zhc3lACRFeTgmbx4LcmYzMTG3\n36DW1NXKqtqNrK7bxMamYgKGGfwi7U6mJhQwJSGfyYMEyF0FjRBt/g5a/B10Bf0EDPNKZwEjiA0b\nEXYnTruDCJsDlyOS2Ag3Mc6oAefMNQyDhq4WStqrKWytpLC1gsLWChq6dpyP7iA+JT6PyQn5TI7P\nJTai7zDpDwVosTezavsmCpvK2G718e0K7jzjQlxkDPmeTPLiM8j3ZJJvzeoQEzG06cZavG2sLFzL\nR5uXs67M7Hsb6Yjg2CmH8+05J5OV0P9lc0OhEMs2rOLJ/z5HWW0FrggX5yw4nfOPORvXMOdM7m39\npvU89sLjbNy2CYfDwanHnMJl3750RK6m5vV6ufXWG9mwYT3HHHM8119/yz6Z1qwv8n47NBJyhRhd\nEnLFfvHCC//m0Uf/waRJirvuurffFtxuu57PQCDA3X+9hxVrVjD34LncetWvBrxgw6dfreT3/34A\np8PBDRf8nMOmHrLbMoZh8Mra93hs2YsEQ0GOn3IEP1hwPvHu3evWGeji7e2f8rL+kMbOFhw2O/Mz\nD+KEgsOYmzEVh73vVrQ2fwcra75mec1XbGwq6ulJmx+bwYykCcxImoCKzxv06/smXxuV3gaqem6N\nNPnaaA9496h3rtvhwhMRTZIrzuwCERlHistDujuRZJenz4Df2NWCbi7tt0tFbkwaKj6PKQl5TInP\nJzkqvue5Xc9n0AhR0VpLcUsFRc0VlDRXUtRSSVVb3W79jTNjU5mUmMuEhFxUUj6Tk/KJGORDQE1L\nHYs3r+Tdr5dQ3VKH3Wbn2MmH8d15pw8YdoPBIO9/sZin/vs8ja1NZCVn8LOzfzSs+ZN3ZRgGn65e\nxmP/eYyKmkrSU9K55cqbmVQwcY/L7NbR0cGvf30DGzdu4Cc/uZozzxzeBVT2lLzfDo2EXCFGl4Rc\nsc+tW7eWm2/+JYmJSTz44D9ITBz8a+De5zMUCnHfP//MR8s/Yta0mdx+zW8GDLiLv/yU+/7zF1zO\nSG6/7CYOGjd1t2U6fF7u/++/WLZtNYnR8fzixMuZnTd9t+W6gj5e2/IxL+sPafW143a6OG3CUZw5\n6Zh++9j6gn7W1Gs+qV7H2votBK1ZDybH53Fo2jTmpUzdKQDuyjAMqjsb2d5ayfa2Sgrbqmjy7TLd\nls1BQmQsnohoPBHRxEVEE+WI7Gm17Q7d/lCAQCiIPxQw++UGvLQFOs3+uf52OndpTe0uO92dSKY7\niZzoVPJi0siKTt4tiHcGutjSUsbm5hI2N5WwtaWMrl6D0FKi4pkcn4eKz+OwginE+GIGndmhM+Cj\nrLWKkpaqnpkdtjaW0ubfcWU1lyOS6SnjmZk2mdnpUyiIz+q39TwYCrFs22qeXfUaJQ0V2G02Tpp+\nNBcfdnafH2a6ebs6efqD53n107cIGQYnzj2Wy0+5mLghXia6L/6An2df+zfPvfE8Ec4Irv7eVRx3\nxLF7XF63hoYGfvzj7+Pz+XjooUfIzt6zAXTDIe+3QyMhV4jRJSFX7FOtra1cccVltLa28Ic/3M+0\naUNrEet9Ph99/v948e2XmDJhMnddd+eAsygsXb+c/8/eeYe3VZ7v/6O9Je+9Z/YkOyEkYUNCCZvS\nMkuBQltK+wVaRie0QBktbSmFAmW3zEBIWNmQ4ZjEGd7x3rYsS7a2dM7vD9mpHUuyQqDtD87nurjI\nlfO+5xxJtnKf573f+3nglcfQaXT88qo7mZRTMm5Mt6OPe99+hLaBLqZllPB/Z36XBMP4GKmDPXU8\nVv4S3U4rBpWONUXLWV28HJM6fCqCzevg/bY9fNyxF2fAA0CuMZXFqTNYnDJtQmHb7upjX389FbYj\n2EaJWoNSS74xjSx9Mmm6BNKiVFuPF3fAi9U3SL/XQZ/HTpfHRpe7n2637aidAkIbu9J1CeQaUsk3\nppFnTCP+GI9wQAjSNNhJtb35qPAdCvw7ckyn0FBozqTQnEmBKYNCcyYJmomjtkRRpNtppX6glcq+\nBip6amlxdB49nmlK4dTcBazInU+iLvx7LIgCn9aX88Lut2mzdWLQ6PnOsktYNWlJVB9wbVs9f3jz\nSRo7m4kzWPjxJTczu2jGhPccjbKKMh7460M43U6+vfZbXLr6khM6H8DWrZv47W9/xYwZs/jd7x45\n4fNNhPR9GxuSyJWQ+O8iiVyJL5V//OPvvPzy81x55bVceukVMc8b+Tz3HiznnofvJTMtk4fv+j2m\nKD7eqpZa7nzqlygVSu6/9m6KswrHjWmzdfGzNx/C6rTxjVmnc/WSC8dZDbxBH/84+C7r6rcgl8k5\nr/gULpl8RkRvaJuzh3dbPuWT7gMERQGzysDy9FksTZ1BtjHy0jiEbAh7+2rYa62l1xtqwKBVqJlk\nyaHIlEGBMZ0Ubdx/vMuVIAr0euy0unppdfbQ6uyl3dU3RvhaVAYKTOkURrhPQRTodFmptbfQ7O3i\nYHcDnW7rmOvEqY1jRG+BKRNjDB7cfredip5a9nQeYnfHQfxCADky5qZP4YLSU5maNP6zh9BmtfUH\nNyCsEhcAACAASURBVPPCrrdw+z0syJ/FzSu/Tbw+8gNIIBjgrU/W8/yHrxIUBL656iIuOeX8E/K/\ntnW1c/fv76G7r5v/++5POGXh8s99rhF++tOfsG/fXv7yl7+Tl5d/wueLhvR9GxuSyJWQ+O8iiVyJ\nLw2Hw85VV12ORqPhmWdeQquNLbwfQp9nTX0Lt9xzC4POIR65+/cU5oYXLgCd/d386M8/Y8jj5BdX\n3sGc4pnjxrTburjzzQfod9q5ZslFrJ1z5rgxrY4u7t/5NK2D3WQaU/jR/G9RkpAb9ppdLiuvNW5m\nZ88hRCBdn8g52YtZmjoj6sYxQRQ4NNDE7t4qahxtiIio5EqmWHKZnVDEJEv2cUVseYI+Oj027H4X\ngwE3g/6QJcEr+AmIQQKCQFAMIhKyIijlcpQyBRq5Cr1Sg0GhQa/UYFLqiFcZiFcb0SrG20ECQpB2\nVx+NQ100DXXRONQ1plJrUuooMGVQZMqgyJxJssZyVPSO/H4O+d00DnZwxNHOkcF2Ghwd2Hxjf28z\n9UkUW7IpNmcxKS6XNF1iVJE/5HOxrbWcj5p2U2drAWBWSimXTzmLyUnhc2p7HH08+vEzHGirJk5v\n5rbTrgtrVxlNdWsdv33pEXrtVmYXzeDHF99MnDGyOJ6I5vZmbvvNT/D7/Tx45+8oKRi/6nA8bN++\nlfvu+zlr117Md75z4wmdayKk79vYkESuhMR/F0nkSnxpvPrqizz77FN85zs3snbtxcc1NznZxI9/\ndQ9bd2/lO5dex/lnfCPiWEEQ+Mlf76G6tY6bz7uOsxacNm6My+fmh6/+io6Bbr6z7FLOmzV+TLO9\nkzu3/oFBn5NzC0/myulr0CrHiz1BFNjQuot/Nm7CLwTINaaxNm85c5NKo1oIBFHkoK2BjR1l9HhC\nTSJyDCksSJrErISisMIyHO6gj0ZnN20uKx2efqy+8D/3KpkCpVwRErbD9xUQhWHhG8Q/qip7LDqF\nmniVkRSNhWSthVSNhUS1CeWoqrcoivR4BmgY6qR+sIOGwQ4co7yzZpWeQlMGhaYM5uUWo3Aqw4pV\nm9fBEUcHDYPt1DnaOOJoH+MVTtbGMTOhiBkJRUyNz4/aSriyr4GXKzewv6cGgJOz53DdzLVh/dOC\nKPD2/g957tPXEUSB60++nHNnrIx4bgC708HDr/2ZvTX7SE9I5dfX3EVaQkrUOdHYe7Ccex/5OXlZ\nufzx5384oeqwz+fjm9+8EIPBwLPPvvy5zxML0vdtbEgiV0Liv4skciW+NH7wgxupr6/llVfemjBN\n4Vjszl4uv+Ua8rPz+cO9j0b9x//D8s08+voTLJ22kDsvvzXsmEc+fJqPqz9l7ewzuGbpeMHdOdTL\nHVseo9/j4OY5l3JGweKw57F67Pyx8jVq7a2YVQa+XXwmC1OmRhW3oihSZW9hQ/seOtxW5Mg4KamU\n5akzSNPFlsXqDvqoH+qkdrCDFlcvwnACgUqmIF0XT4Y2gQS1CZNSh0mlxaDQjhGk4QiKAq6AF1fQ\nizPgxRFwMeBzYvMPYfMNMeB3jUk6kCMjWWMhQxdPujaBDF0CZqXuqHAVRZE+r536wQ7qBzs4MtjB\nYBjRW2TKpNicSYLaFFb0CqJAq7OHWnsrh20NHLI14BpusKGSK5mXNInl6bOZGp8f8X2v7GvgqYo3\nqLO1YFYbuHnuZSzKDO+lrelq4Ffv/pEBt4PzZ5/O1Usuiv6wIgg8/9E/+eeWN0k0x/Orq39Gbmp2\n1Pc6Gg/+9SE279rC3bfcxaI5J9aq9447fkRFxT7eemsjGk3kh4ETRfq+jQ1J5EpI/HeRRK7El4LV\n2scVV1zEzJmz+e1vHz7u+Q8//RAf7djCvT+4mwWzFkQc5/K4uO73P8Dj8/LXWx8mOW58p6tttXt4\n4P2/UpySxwMX3onqmGYQA55Bbtv0e3pc/Xxn5lrWFJ8S9lp19lYeOvgyg34XC1OmclXx2ZgjbEIb\noc9j55WmzTQOdSEDZicUc0bGSSRF2YQ2GqtvkF3WGmoHO44K21SNhRJTJrn6ZJK/oA1o4fALQaw+\nBz0eOz1eO93eAXo89qP3AWBUasnWJZGtTyJbl0TcqPdDFEV6vXbqHe20+Xup7G1mcJS9IV5tpNic\nRcnwfwZleDtLUAhS72inor+O3T2VR329iRozKzPmcmbWwrDVXUEUeLd+G88dfAef4Of0/EV8d9aF\nYa0kXfZefv7OY7TZOllSNJcfn379uJ+TY3lzx7s89d7zGHUGfn3NXRRnfr4Wvi0drdx4100U5hby\n2D2PnJD/+rHHHmLjxvU88cTfyc398ny50vdtbEgiV0Liv8vx9daUkIiRmppQGP+cOePzaSfC5Xax\need28rLymD9zftSxWys+we508M1VF4YVuIIo8MLut1DKlfzkjPDC5ZmDb9Pj6ueyyWdGFLhdLisP\nHnwJV8DD1SXncGrGSROKkcMDTbzUuAlP0MfUuDzOypxPeoyVW4ffzU5rNYcdLYhAotrEFHM2JcaM\nMULy8yCKIn4xSFAUkCFDLpMhQ4ZCJhsjmFVyBWnaeNK08Uf/LiAE6fHa6fD00+Hup81tpWqwjarB\nNgAsKj25+mRy9Slk65NI0caRoo0jOdlET4+DHs8AdYPt1DvaOTLYwZ6+avb0VSMDsvTJTLbkMD2+\ngHRdwtH3VyFXUBqXQ2lcDhflr6TO0crWzv3s6jnEvxo3837bHi7KX8Ep6bPHbCKUy+SsKT6FWaml\n/H7P83zQuJNmewc/XXQdCcekMKRZknnowjv59frH+aS+HF/gT9x51k2olZG91ecvPRejzsgf3niC\ne565j99d/3NyUo4/visnI5sFsxawa98uWjtaycnMOe5zjDASz2e32z/3OSQkJCS+KkwocktKSrKB\nfwApgAg8WVtb+4eSkpIE4FUgF2gCLq6trR34Eu9V4v8jOjs7AD5XZue+w/sJBoMsnrNoQiH50b5t\nyGQyTpsbPm90T2MFHQPdnDZladgmANXWRjY176EgLotLpozfiAYw6HfxwIEXGfK7ua50NSsz5ka9\nJ0EU2Nhexsdd+1DKFFySdwrzkyZFnTOCXwiyp7+WMls9QVEgUW1iSeIkiozpx1XhE0URR8CDLeBk\nwO9iIODCGfThEwJ4hcC4hgsjqGQKtHIVWoUKnVyNSanFrNRiUmgxK3Wo5AoydCGrAvGh61h9g7S4\n+kJJDO4+DtibOWBvRgakaePJM6QwR5uPBjWpunhSdfEsTZmGMBybVuMINZhodHbT6urlg85yEjVm\npsflMzOhkGx98tHXLpPJKBnO3r2i6Aw2tO3inZYdPF37LhvbdnF54enMThq7gSvHnM6DK27l8fJX\n2NxSxk82P8LPl95AtjltzDij1sAvzruVX69/nLKmA/x6/eP87JzvoQnjyx7htLmnIAhB/vDmk9z9\nzH08eP0vSIlPjvlzGmHJSYvZtW8XO/ftOiGRKwy3T1YqpfqFhISERCzfhH7g1tra2v0lJSVGoLyk\npORD4Grgw9ra2gdKSkpuB+4Y/k9Cgu7uUI5pWlrGcc8tP1QOwLyZ0avAnf3dVLfUMqd4RtgqLsCG\ng1sA+Mas08Mef7lyAwDXz7ogYqvbp2vepcvdz+qcJRMKXIDXmrexu6+aRI2ZKwtPJ1Mf/t6Oxe53\n8lb7bvp8gxiVWpYmTmayORt5jOJWFEWs/iGa3VaaPVa8QmDMcfVwooJRpUEjV6KQyRGH54mIBEQB\nj+DHI/gZ9HnCXsOi1JGoMpKkNpKkMmJW6kjSmEnSmJkTX4AgCnR5Bmh29dLs6qHDbaPTY2OntQaD\nQkORMZ1iUwbZukTkMjnZhmSyDcmcmj4HT9BHtb2Fg7ZGquwtbOmuYEt3BVn6JJalTGdWQtEYn7FO\nqWFt3nJWps/htaYtbO74jAcPvsTJabO4uuRsNKM28qkVKm6ddwWZphReOLye27c8yq+WfY/C+LFe\nWo1Szd3n3ML9G/5MWdMBfrP+T9x97i1RrQtnzFvFoHuIZza+xD3P3s/DN/0GvSa2VsQjzJ8xD7lc\nzp6KMi459/g2aY4mEAiJ3P9Ue18JCQmJ/2UmFLm1tbVdQNfwn4dKSkqqgExgDTAS7vgcsAVJ5EoM\nM7JcGh8fP8HI8TS1NaFQKCjMiRwZBlDbWg/A3JJZYY8LokBlZz1Z8enkJmaOO+4J+DjQW0dBXFbE\nXNU+zwBlvZXkm9K5pGDVhPe+r7+e3X3VZOqTuKFkNfooSQCjaXX1sa6jDI/gY6Ylj5OTp6CWR29d\ne/R1BP3UubppcvcxFAxt0NLIleTpkohX6YlX6olT6dHEeD4IJUG4BR+OgIfBgBtHwIM94KLf78Qe\ncNPg7j16nVS1mVSNhVS1GZNSe7TSuyixFE/QT4url45gP5XWVirsTVTYm9DK1RQb0ykxZZCjT0Yu\nk6FVqJmVUMSshCL8QoBaRxtlfTUcGmji5abNvNu2i8UpUzk5dcaYJIo4jYnrSldzZtYC/lL1Jtu6\n9tM81MkPpl5Mmj7x6DiZTMYlk88gQWvmj+WvcNe2P/Grk2+iKH5s5VStVPHTs7/Hfe/9ibKmAzz0\nwZP83xnfjdi6GeDCk8/DarexbucGHnv9Ce647IfHVXk3GU0U5BRQ11SH3+9HpYr9sxqNwxH6vTOZ\nJm6yISEhIfFV57jWtEpKSvKA2cBuILW2trZ7+FA3ED31XuJrhdMZ6til1x+ff1QURdq62slMy5hw\nybWxqxmAgvS8sMfbbV24/R6KU8Ifr7I2EBCCzEyJnE+6tXM/InBa5vwJN3jZvIO81rwNtVzJtwpO\njVngVjpaeb9rHwCnpcxkRlz4+z0WnxDg8FA7da4egqKAUiYnT5dIrjaJtBPckCaXyTAoQhm66Zp/\n+1cFUcQecGH1DdHrH6Tb66DF00+Lpx8Ao0JDhiaeHF0CSSojWoWKElMGS5JL6bZMod3dT81gO/VD\nnRx0NHPQ0YxBoWGyOZuZlryjfmOVXMnUuDymxuXR73XwSc9hdvdV8X7HXnb0HOL0jJNYnDxlzGvM\nMqRw7+xreL7+fT7u2MvP9j7JTVPWMjepdMxrOy1/EQq5gkfLXgwJ3WXfozhhrNBVKZTccdaN3Lvu\nUT6pL+dRxTPceto1Ud/Ta8++giOdjew4tIt3dm5kzeKzjus9L80vob6pnobWBkoLSieeEIaBARsA\ncXHH/3ApISEh8VUjZpE7bFV4HfhBbW3tYEnJv4VBbW2tWFJSEjU9IT5ej1IZPdLoRElOPr6YKokv\nD4/HhVKpJCsr6bgqWoNDgww5h5g5edqEn2ffYKiaOGtyKYnm8WMr+0JVram5hWHP1dveB8CC/CkR\nr1V1oAmFTM65kxegU0UXrR9UleEJ+rh66ulMyY4tUurIQBfvd+1Dq1RxxaTlFFgmflYURZFqWyc7\neupwB/0YVRrmJucyJSET1QSxYV8Eqfy7SiiKIgM+F61DNloHrbQM9VPr6qLW1YVRpaE0Lp0pCemh\neSkWUrEwh3wEUaDJ0UtFbxMHrM3stdVTbqtnSkI2K7Onk2n89wa9ZEyUZmVyeeAUPmj+jPUNu3mz\nZQcHHQ1cO/1MMo2JY+7vjrTLmNtUzGPlr/HwwVf44UkXcnbB2GiuS5JXYTHr+eWmv/HzT/7CX867\ng8LE8f7xP1z1U77/3K/ZXLOTzKRkbjkjete+B773M6745c08s/FFTl2wmNy02D3pc2fOYP3m9+iy\ntrF0wfFv2ARwOAbQaDTk5qZ+6V3ypO9bCQmJ/3ViErklJSUqQgL3+dra2reG/7q7pKQkrba2tquk\npCQd6Il2DpvNFe3wCSNF2vxvYbXasFji6OsbOq55bZ2hXfpJCYkTfp42R+i41ynS6x0/tq8/9HdB\nrxj2XP320L35XeGPA/Q57ZhVBoYGfAzhCzsGQhXOXe3V6BQaJmlyY/pZtPtdvNC8DYDV6fMx+fQT\nzvMKAfbYG2jz2FDI5Mw0ZVNqSEMhyhmwxv47JooiPjGIWwzgEQJ4xAB+URgzRkbIjqCRKVDLFGhl\noT+HE0/pWEg3WJirzxuu7lpp89go722ivLeJdL2FbFUCOdrEo0LchJ6lliksNJVSN9TJZ7YjHO5v\n5XB/K4WGNBYllpKqjRtznUXmqUybWsBbrZ+wv7+eu3c8x3nZi1mUPGXMfc0ylHL37Kv5XcULPLL3\nX/Tbhzgja2wU3dz4aXx/7uU8uvdFbl73IL895QdkGMdvGvvpmTfzf6/dzwufrMOgMLJ6ZjTbipob\nV1/LfS89zD1/e4jfXf8LFDH6YxNMoaYSVbX19M77fN9lnZ1dJCWlHPfv3fEifd9KSEj8/0As6Qoy\n4Gmgsra29tFRh9YBVwK/G/7/W2GmS3xNsdsHSE9PP+55NkcooCMhhuVWj9eDQq5AFSHmKTi80zyS\nlzIwshM9SvXT4XeSGkPsV4uzG7vfyfykSRM2YYCQKH5n2IN7aspMsnSJE86x+91ssVXjCvpIVptY\nZCnEEKMlAkLCdlDw0R1w0ht04YvS8SwSKuTEK7TEK3TEK7Roj2k/rJDJydDGkaGNIyAKtHn6aXT1\n0umy04mdzxzNTDFkUGpMQykLvU9KuYLJ5iwmmTJpdvWy01rDEWcXR5xdTDJlcWrKDDSjsm1NKh3f\nKjiV2fGFvNq8lddbttPq6uWi3JPH2AkKTBncPfsq7tv/D56rC20wPFborspbgCvg4cn9r3P3tj/x\n0MofjeuOZtYZ+fmaH/Lj1+7jyW0vk2JOZEF+eB84wJJpC1g6bSE7Du1iw54POXfhGTG9t1npoapv\nS0drTOOPxev14nDYKSiI7mWXkJCQ+LoQSyV3CXAFcKCkpGTf8N/dCfwW+GdJScm1DEeIfSl3KPH/\nHQMDNtxuFykpx2/THjgOkSsiRl2S1alDzQVcPnfY4wZ1aAf8oM8Z8RxKmQL/MSkF4Rhp05tvTJtg\nZIjqwTa6vQNMMmUxMwYPrtU3xJb+GnxigGnGTKYaM2NOXQiIAh3+QToDQ7jF0GtRIidZoUcrV6KT\nKdHKlKhlijHtYQRRxCsG8YoBvGIQjxDALnjpCbroCYaqxma5hlSlgRSlHpVsrLgPeYSTyNMlobWo\n2NvWSK2rmwNDbdS7ephhyiJPlzQmHizPkEKuPpkWVy87+qqoHmyjy2Pj3PSTxlV1p8Xnk2lI5tn6\n99nTV41PCHB53ooxDzVZhhTunn01v9r3DP+o24BZZWBR6rQx51ldtBynz82Lle/xy0+e5P7lt6A9\n5uEhzZLMvef+gDve+B2//+ApHr74LrLiI3/WN665hvLa/by86XVOnXMKWvXEDyN6nZ44cxw91qiL\nYhHp7u4C+Fy/dxISEhJfRWJJV9gBRFpvO/WLvR2JrwJNTY0An6vj0oA9tHEmIW7i6qlaqSYQDCCK\n4cVukjEklPuGbGHnpxtD0V4dQ70Rr5GktdDh6ot4jRGcgVDkllE5cXRUUBT41FqNQiZnWdLkCcf3\n+QbZ3F9NUBSYb8mnUJ8y4RwIidT2wCAtPjt+BOTISFHoSVUaiFfoYhbJoxFFEZfopz/owRpwMyB4\ncPi81Pv6SVDoyFKZiVeM71xmUmuZZsqixJBG5VAHNc4udtkbqHN1M8+ST7zq3xsUZTIZuYYUsvRJ\nfNpXzR5bHS+3bmdF8jRmxo39mYpXG7mh5Fyeqt/A/v56AkKAbxWcNqaanq5P5PaZV/DLz57hz1Vv\nYFLpmZYwtjvZJZPPoMfVz4dNu3hozz+4c9G14yLlilPzuGXllTz0wd/49frHefjin6FXh/+844wW\n1iw+i1e3vMl7uz9g7bLVMb2/iXGJtHW1TfjzFo6urlBsX3r68cf2SUhISHwVkcIUJb5wGhpC0V55\neccvckfsCokxVHLVqlCMlNcf3iubNLx5qcfRF/b4iP+yxdEV8RrJunh8QoB+ryPqvbgDoeiu0dFW\nkagd7MDudzHDkotZpY861hP0s81WS1AUWBJXHLPA9QgB9nu6OOKzISCSq7KwSJ/FFG0yiUr95xK4\nEBKgBrmabJWZWbpUFukyKVDHoZersAbdVHi6afDZEMXw+1DVciWzzDmcmzyTHG0CVr+Tj6yVWH3j\nPaQKmZxlyVM4P2MhKpmSj3oOcNDePG6cTqnh+uJzKDJlcmigifXtu8eNyTWmcdv0S5Eh47HD/6TP\nM7ZvjUwm46Y5lzAzpYTdHQd5pXJj2Ps/pXQh35h1Om22Tv62/ZWo79X5S89Fr9Hxxo53CQZjs4Yk\nxMXj9Xlxe8KvPkRjpAFLWtrx24QkJCQkvopIIlfiC6eiIuRqmTp1xnHP7esPCdKUpIm7RhmGA/ed\nnvB2A4vOhEVnotHaFvZ4likVo0rP4b4jEa9RbA75JKvDiKvRjIhbTzDy5rQR6odCFbcZlryo40RR\npMzeiFcIMNOUQ3asLYGDXsrdnTgEHykKPQv1meSr41CdQKRYJDRyJTkqC/N0GczWpqGVKWnxOzjo\n7cEfxfNrUGpYEl/M4rgigqLAlv4a7P7wG+cKjKlcnrMMrVzFxz0H6PaMb6yoUai4puhMkrVxbOs+\nQI19vK91Snw+V5achTPg4fHK1496tkdQyhXcsfAaUvQJvFr1Pvu7a8Lez1WLLyA/KZsPK3dwoK06\n4ms06Y2smLUM2+AA++oPRBw3GrU69HPkD/hjGj+a5uaRFZS8454rISEh8VVEErkSXyiBQICDByvI\nysomOfn425v29oesA7GIXKPOCMCQO7zIlclkFCRl0+3oY8g7XkDJZXKmJhXQ7bTS4+oPe44pw37Z\nSltT1HsxKENL9CO2hUgERYEmVw9mpZ5EdfQIpmaPlTavjWS1iVJDbF5fe9DDfk83fgSK1QlM1iSN\n88p+WVgUGubq0khQaOkPeih3d0UVugC5ukTmWfLxiQE291fjFcKLu3i1kbPT5xIUBd7pLAvrk9Yo\nVFyRvwqFTM4rTZuPVtdHszJ9LgtTplJrb+WNpq3jjhvVem5feDUKmZzf7/kH9jCpHUqFkltWXokM\nGX/a/A/8wcie7ZWzlwGwef/2iGNGM+InDgQm9oEfS1NTIwqFgqysz98WWEJCQuKrhCRyJb5QDh6s\nwO12M2fO58v57LX2EmeOQxPDRh2TPiRyHc7IUUaFw40g6rubwh6fkRIK3S/vqgp7PNeYhlGlY5+1\nFuGYiK3RWNShe7FOYGtw+F34hABZ+sSonktRFKkc6kCGjIWWgpjsBUFRpNprRUBkqiaZTJXpS89K\nPRaVTMF0TQrpSiMeMUB/MLroByjUpzDFkIFb8NMRpko7Qr4hlZmWPOx+F21ua9gxWYZkVqXNxuF3\nUd5fN+64TCbjutLVJGrMvNv6CVaPfdyYkoRcvjXtXAa8g7x4eEPY65Sk5nP29FNoH+hmR11ZxHsu\nzS4myZLI/iOHIlo4RhMYtjUoo7QRDofP5+PIkTpyc/M+d7c0CQkJia8aksiV+ELZsSOU+7pkycnH\nPTcoBOmx9pKaFNvu8DhjqBOX3RlZWE5OC8UpVXWFtyQsyAjttN/VHn45WSFXMC9pMgO+IaoHIlsW\nMofbx3ZEEF8jOIeri0bl+M1Zo7EFXNgDbjK1cROOHaHFb8ctBshSmkhWRvf6fpnIZDISFSEriVeM\nrSKZMZycMBCInvVbZAz5TSOJXIDFKVORI2NPX3grgV6p5YL8FfiFYNhqLsCa4lPINKXwfuOntEbw\nbK+dcyZymYy39n8QUcDKZDKKMwsYGLJjdYTfADka+6AdmUyG0WiccOxoqqsr8fl8TJ8eOdpMQkJC\n4uuGJHIlvjAEQWDnzh2YzRamTp1+3PP7+q0EggHSU2JbmrcYQnmmA0Pjq3EjTEoPidzqznrq6lr4\nzW828tBD7+F0hiwOqYZECuKyONBTy5AvvMBalBISwp90H4x4HZNKj1mlp9XZE7Vi5wqGRK5eEb1S\n3Tws4gp0sVk+AqJAi9+OWqYgTx038YQvmUEh5E0+tsFEJHTyUPVxcAK7x0iMWFeUiq9JpWeSJYd2\nVx+9EcYtS51Bhj6JrV37GAhjSXANObHUZSGIAk+VvRH+XsxJLCyYw5HeFup7Ij8AFWWGkhwaOpsi\njhlhwDGAyWCKmO0ciX37ygGYMUMSuRISEhIjSCJX4gujquowNls/ixYtQaE4fh9o34gfNzG2BIEE\nUyiBoX8wcoXMojOREZfK4Y46rvhWHY89dhEPPHAhl1/+Dl5vSHAuzZpFQAyyqyN8NXdKfB4JGjO7\neg5F3VhWYMrA4XfR6Q7v74VQugAQ0Xs6gnv4OqOjtaLhFQOIQKJCh/JL2GAWK6Io0uKz0+y3o0RO\nqiK2+68cGk4G0FiijusYfm+TJvAzxw3bRwJCeE+wQq7g5LRZCKI4blOh2+3msss28swvb8LdnUp5\ndx11jS1hz7O4cA4AhzrCb1IDiB9ecRhyR+9C5vP76OzpPNoUIlZEUWTLlk1oNFpmz557XHMlJCQk\nvspIIlfiC2Pz5o8AWLp0+eea32cLJSskxk/c/QsgwTyxyAWYmlGMJ+Cl2zlS5VKwc+d5fPrpfgCW\nZYWEyrbWz8LOl8vknJI+G3fQx66ew5GvY8kFoDJKEoNpOEd3yB+9YukbXuZXx7hpzDdcMY11/JdB\nQBSo89lo8A+gkSmYrUvDGEOkWq9vkCPuXixKHUX66FaVw46Q2Jxizo46zjf8EKFWRPanTooLbdCq\nHhgrYD/8cC9lZRcBCmwVc5Cpg/z9vc1hzzE5vQiAqs7ICR0aVahqHynqboSW9hYEQSA/Ky/quGOp\nqjpMV1cHS5YsQ6ebOKdZQkJC4uuCJHIlvhAEQWDHjm3ExcV/7mrSgCNkO4g3x7bcnmgORWr12SNX\nTgGmZZQAYMr9t91ApbJhsYSqfWnGJEoTcqnorqHfHd76sDx9NjJkfNC2O6IdYZIlG4VMTrm1NuIY\ns0qHHBnd3sjL7aMJEtty/8j2MvcEFeIvA48QoMFnY5ernY7AIHqZitnaNAzyiTdANbh62WwNJ9JL\nEAAAIABJREFUbfo7yZwXdYPdnv466oY6SVKbSYlS8fUEfdQ52lHI5EdTL8KRrg81A+lxj31IiovT\noVCE/s5eNRUAtyH855ViSsSg1tFm64x4nREm2nhW01ALQGFuQdRxx/LOO28CsGrV6cc1T0JCQuKr\njiRyJb4QamursdsHmD9/4eeyKgB4fcMNFbSxVaO0ag1mvYnegfDNHkaYOixy8+dsBDpQqaq4/PJd\nzJkz9eiYlbnzERDZ0rI37DmStXHMS55M01AXh22NYcfolVpmxRfS4xmg1hE+m1clV5KjT6bHa8fu\nj9xOOEkVWo7v8UVOjhiNRa7BIFfRE3Th/A8IXVEUGQh6OOTpZZe7nRZ/aPNfviqOObo0tPLo6QAB\nMUiZvZHd9gbkMjknx5eQojFHvNaOviq291ViVGpZkzEvamrExvY92P1OVqXNjtqcY6QhRLJu7EPV\nsmVzueSSTSgUtQQ9IYvB1JnhLQQymQyVQoUgRH4YGVlpiDdFf3jbdziULz1z8syo40bT29vLtm1b\nyM8vkKwKEhISEscgiVyJL4SyslCXqfnzF33uc4yIXI1q4iXuEZLjkui190WtkqWak0g2JWDIdvHm\nm7Vs3DjEgw+uHTPm5Oy5KOUKPmqOXKk9N3sxAOtadkS81tLU0Ia7rd2Rw/+LhxMCqgfbI9/zsODr\n8kbeVDcamUxGniokoo74+hFiiKs6XkRRZCjo44jPxm53O/s93fQFXRjlakrViSzSZ5GrtkT1BIui\nSJunn429h6h39RCn1HNG0jQyteE73DkDHt7t3Mvu/lriVAYuzV5GvDpy8kC5tZYdPYdI1lhYmT47\n6uupH34QyTKM3dwnk8l45JEL2LjRxsMPhT4jQRb5/ZTJZASjbLDrc4RWGhLNkbv4BQIBKqoOkJac\nSnpK7B3L3ntvHYIgcN55a//jcXESEhIS/+tIIlfiC6G6uhKAGTNir0Idy1FxeRz/WCdbEvH6fThc\nkSueMpmMaRmlDHqcZE5KZfr0SePGGNV6FmfOotXRxaG++rDnKbJkMTU+n0O2Bg72h/dg5hhSKDJl\nUuNoDdt1C6DYlIFarqTcdgRfmKYGAAkqA3q5mkZX39FNaBORpNARP9yIocZnjSmXdSJEUWRI8NHo\nG6DM3cleTyetfgd+USBVaWC2NpW52jTSVUYUE3xuVt8QH/dXsd1Wx1DQQ6khjdOSpmIKYykQRZGK\ngSaeadpE7VAH6dp4Ls1eiiVCG2Rf0M9rzdt4qXETGoWaS/NXoIpSTe73OvhnwybUciUzE4rHHZfJ\nZMycOQVTbuhhI1Ufvtuc2+fB7naQYIhsn6hvb0Auk5GVlBFxzP6qCpxuJ/Nnzo845licziHeeedN\nLJY4li9fFfM8CQkJia8LksiVOGFEUaS+vo60tHRMpvBLzrGgUoY8nMfT0jTJEtqkNpEvd3pWqOnD\nwbbIu+DPLlwKwPojkbtTfbPwdGTAS0c+iNgc4rzsRciQ8Xbrp2ErfDqFmrnxhbiDPj6zhRfLCpmc\nKcYMgghUOSf2e0JImE3VJGOWq+kOOKny9uGboONYOEYqtg0+G3vcHex1d9Lst+MW/SQp9EzRJLFY\nn8VkTRIWhXbCCqLd72Z98wE+sB6m1zdIpiaOs5NnMMecG7bq2+Wx8VLrNj7qqUBEZFXKDC7NXhbR\nX9sy1M3DVa+zs7eSdF0CP5y8ljxj5Bg6QRT4a9XbOAMevll0Bim6yBXWvV2hjYZz06aGPd7Q14og\nihQNNx05Fn/AT23bEfLTc9FrI2cXb9sT+plbNn9ZxDHHsm7dmzidTtauvRitNrYsZQkJCYmvE8fX\nVkdCIgw2mw2Hw860aTNO6DzqYZuCf4Jd6KMZWQK2OvopzMiLOG5GZqh6e7C9htUzw1e9piQWkG/J\nZGf7AXqc/aQYxlfv8kzpLE2byfauCt5v281Z2ePtGRn6JBYkTWJXXxUfdX7GGRnju7+dFF/I/oFG\n9vTXUWrKDLsEX6BPptLZQZ2zmwJdMnERqpijUcrkTNemcMDTQ0/QRZ/LTbbKTLbKPGG0mEcI0BNw\n0h1w4hRDDxpyZCQr9CQp9ccdT+YO+jg41E6DqycUb6YyMNOUTWqETWN2v4sdfVVUD4ZsBJNMmSxP\nnopRGd6j3esZYEN7GRXDDwonp87g7Mz5USu4Dp+TP1e9wUHbEWYlFHNqmM9mhFZHN2Udh0kzJJJl\nCh9rV9EaWsEoSc0Pe/xgYyX+gJ9peZMjXsftcfNp+ackJyQzuXD8KkM47HY7b7zxT0wmM+eee15M\ncyQkJCS+bkgiV+KE6e3tASA1NbZOZZHQDW84c7mjd70azchmHrszunc11ZxEsjGBQ+01CKKAPIxY\nk8lkfKNkBY+UvcAbtR9zw+yLwp7r8sLTqLDW8UrDx8xIKCLTML5hwzlZC6lxtPJhRzlFpgwKTWOX\nqtVyFSuSp/NeVzkbuj7j0uyl4+5JIZMz15zHdlstuwaOcHrS1LD3fSwqmYLZ2jQ6A0M0+Qdo9tvp\n8A8Sp9ASr9CilSnRyJWIiAwGvTgEH4OCl6HhDWsyQtaHFKWBRIUOxXHm7vqFINXOTqqdnQREAbNC\ny7KsEkze8FVfT9DP7v5a9g00EBQFUjQWlidPJUcfvhFGv3eQDzvL2dtXg4BItj6Zc7MWUmTOjHpf\nh/obeLL6bfq8dmYlFHPTlMg+Vr8Q4KE9z+ET/Fw5fU3Ycf5ggI2Ht6FTaZmXF/4Bb9O+UIV2ybSF\nEe9r884tuNwuzj/9G8jlsb3XL774LENDQ1x//ffQ6/973e0kJCQk/peRRK7ECWO1DufbJsbWnSsS\nel3oH2uX2x3zHMuwF3JgKHJrXwgJ2OlZk9hU/SnN1nbyk8LnrJ6cPZeXKzfwfuOnXFB6Ksn68UvZ\nFrWRa0tX88ihV/lL1ZvcM/vqcXmseqWGb+av4s8163ix4WN+OOUCzMdUYiebs2hwdlE92M5Oay1L\nksZX8bK08eTrkmh093FgsI1Z5pyor3MEuUxGpspEqtJAm99Bd8BJb9BFbzD8A4QcGXFyDSlKA8lK\nParPmbfb6u5nr6MJj+BHK1cx25RDgT6FVIuZ3t6xvmlRFDlob2Z7XxUewYdJqWNZ0mQmmbLCikqH\nz8nHXfvY2VtJUBRI1cZzZuY8psflR7VMdLmsvN60hU+6DyJDxoX5K/hG7rKIDwyCKPC3/W/QMNDG\nqXkLWJoVfgPbtto99DsHOG/WaejV46vNbq+HnZV7SI1PYUpuadhziKLIu5vWo1AoOOuUMyO+htE0\nNzexfv06MjOzpSquhISERBQkkStxwgwOhqqoZvPn9+PCaJEbeyXXbAhFbUXbeDbCzGGRu7+1MqLI\nVcoVXDblLB4pe4GnD7zJHQuvCTtuXvJkTk6bxbau/TxZ/Tbfm3LBOKGVb0rnzMz5vNe+m6fq3uOm\n0jXjIq1Wpcygw93Prv4aEtVGJpnHR1XNMefS6xukytmJUamlSB9bRzgI2Rfy1HHkqCw4BC8eIYBH\nDOAZ9uqa5WpMw/Fj0TJqJyIgBvnM3swRdy8K5EwzZjLJkI4qQntaq9fBB90VdHj6UcuVLEuawuy4\ngrDjPUEfm7v2s637AD4hQILaxBmZ85iTUBS1st3lsrKuZQfbuvYjiCJ5xjS+M2kN+abIG8D8QoDH\nyl5ka2s52aZUrp91YdhxNpedp3e8ilqhYvWM8PaX9/Z8iMfn5YJlyyOK8D0VZTS1NbF8wXIS4sJv\nbhuNIAj88Y8PIwgC119/IyrVxFnEEhISEl9XJJErccJ4PKHuXSfabUmrCXWG8viidwMbjUkXahvr\ndEfOnB1hdk5o89BnLYc5f/YZEcedknMSG47s4JO2/ezrrmZ2anif5DUl59DlsvJpzyHS9IlcmL9i\n3JiVabPo9zrY1VfF80c+5JqiM1GMEnJahZrzMxfycut2Nnbvw6TSk6kbK3bUciWnJEziQ+th9tob\n0clVESO3IiGXyYhTaOFLaIjmCLjZYavDHnATp9SzJL4IcwQfbVAU2NNfx+7+WoKiQIkxgxUp08L6\nboNCkJ19VXzYsZehgAeTSs+a7MXMTywd8x4eS9NgJ+tadrC7pxIRkUx9Mhfkn8L85MlRRbHN4+Ch\n3c9xoLeOSQl53LXkenRKzbhxoijyx03P4fAM8Z1ll5JmGb+C4fF5eH3bOvQaHasXR67Qvr7xDQAu\nPie8NeZYtm/fwuHDB1myZNkJxfVJSEhIfB2QRK7ECeP1Dufbak5sh7dWExI6Hm/sIteoDW3YGnQP\nTTg2wRBHXmIWh9prcPncYZeYIdTG94bZF/Gjjx/iT5+9yiOrfoxJbRg3Tq1Q8aPpl3J3+d94o2kr\neqWWs4/ZiCaTyVibuwy730mVvYUXGzfxzfyVY0RaksbM6vR5vNG+i7fad3FR9pJxHb1MSi0nx5ey\nyVrFJwP1nBJfGrF5wn+SAb+Lj6yV+MUgxfpUZptzInp4hwIe3ukoo8PTj1GhZVXqDIqM4TNhO1xW\nXmrcRKfbikau4syMeZycOgNNlDa99fY2Xm/aQkV/KAIu15jGeblLmZ88Jaq4DYoCGxs+4YVD6xny\nu1iYMYPb5n8brTJ8XvNr5RvY01jBjKxJETcxvr7tHexOB5etvACTLnyu7+G6Sg7VHGLu9LnkZ+dF\nvL8RfD4fzz77NEqlkmuvvWHC8RISEhJfd6QIMYkTJhgMLX1/3k5nI2iHRfJxiVy9EblMhn0CT+4I\niwvn4A8G2HlkX9RxhfHZXDTpdLqdVh7a/Y+IYf9mtYE7Zl5BvNrEC/Xv81bTtnFjFDI53yo4jQJj\nOhW2Izx75AP8x+Tj5hlSOD11Jh7Bz79aP6U3TBOIJLWRJfFFiKLIVlsNvTF2Q/uyGAp42dJfjV8M\nssBSwEmWvIgCt33IyovNW+nw9FNqyuSqvJVhBa4gCmzq3MejVa/T6bYyP2kSd06/nNMy5kYUuE2D\nnTx44CXu+ewpKvrrmWTJ5fYZ3+S+k77LwpRpUQVuZV8DP/r4QZ7Y9y8EUeD6WRdw56JrIgrcjYe2\n8tzO10k2JvCj064Ne+7GzmZe3fImSZZEzl96btjziKLI31/9OwCXrb404v2N5vXXX6Wrq4M1a84n\nPT2y5UJCQkJCIoRUyZX4wjjRjksadWhpeKTzWSwo5HLMejO2odg6g62YtIiX9qzjw6odrJq8OOrY\ny6aeRf1AK+VdlTx3cB1XTz8v7GtM1ydxz5yr+c2+5/hn4yY8QR8XF6wcI4A0ChXXFZ/Ns0fep9Le\nzNN1G7iq6IwxHt1pllwE4MPu/fyr7VMuzFxMinZsRTdTG8/i+CI+sdWx2VrNkvii47YufBF4gn62\n9FfjFvzDm8sibzpsGOrm3foy/EKQZUlTmBdfFPZ9tHkHeaHxY5qGujCp9FySu5zJcbkRz9vrGeDF\n+g/Y0xuK8ZpkyeGigpVMjsub8P4bBtp44fB6yjpDObirchdw5fTVxGsjtxZ+/bONPPvpa5i1Rn55\n3o9IMo730AaCAR594wmCQpBbvvEdDBGycT8t30nVkWoWz13MlOLI8WIj9PR08+qrLxIfH8/ll185\n4XgJCQkJCUnkSnwBjAgWQTj+xgOjMQxHIQ05J7YejCY5LpHGrhb8Af/RhhKRSLekMDNrMhVtVexv\nqWRWzpSIYxUyOT+e/21u2/R73qzdhC/o5zuzLghbrUzVJXD3nKu5b/9zrGvZQburlxsnn49+VAMD\njULFNUVn8nzDRxweaOKPVW9yTfFZJI6yHcyw5IIo8mFPBa+0buec9JMoPKaxQbY2gWXxJXxiq2Ob\nrZaZpmwmG9L/Y21d/UKArbYaBoMeJhvSmRTBcgBQP9TJOx1lKORy1mTMP9rS+Fhanb08XfcegwE3\nM+MLuSA3cvMHURTZ2rWf5+s24A76KDRlcnHBSqbFF0z4HrQNdvPi4ffY0Raq5E9NKuTKaauZnFQQ\ncY7H7+Wxj59he10ZCYY4fnXej8hOCP86/r7hBerbG1g1ZzknlYZPZXC5XTz58t9QKBRcdcG3o97v\nyOt9/PFH8Hq93HzzrRgM460zEhISEhLjkewKEifMiBfX44m9AhsOg86ARq3BaovevexYSrOLCQQD\nHOlojGn8NUsvQi6T8ZetL+APRu+uZlTruW/598mzZLD+yHYe3PVsxDnJ2jh+Mec6psbnU95Xwz3l\nT9Hh6hszRiVXcmXh6SxJmUaXx8ZjVW/QMDi2o9mMuDxWp89DBN7u2E257ci4Fr2Z2nhWJU5BL1dT\nMdjKpwP1BE7wISMWAqLAVlst/X4nhbpkZprCp1TAvwWuXCbn6ikrIwrcyoFm/lzzNkMBN9/IXsK3\nCk6NKHDtviEePvQKT1a/DcB3J53HL+dex/SEwqgCt9tp5dGyF/ne+/exo20fRfE5/GLpjdy//PtR\nBW77QDe3/es3bK8rY3J6EY9cfBe5ieHzeDfs+Yi3P91AdnImN6y+OuI5//HG8/T293LR2ReSlT4+\nTeNYtmz5mLKy3cyaNYdVq06fcLyEhISERAhJ5EqcMCMtRT2e2PNtwyGTyUiMS8A6YD2ueZNzSgCo\naDgc0/jC5FzOnr6C9oFu/r7jX+ME5LEk6izcv/z7TE0q5JP2/dy59Y90DPWGHWtWG7hjxhWck72I\nDlcfd+99ks0dn425hkImZ23OUi7IWYY74OWJ2nfY2lWBMGpMiSmDS7KXoFdo2NJ7iI1dn+E9Rlwn\nqo2cnjSNZJWJFk8/G/oO0uK2Tvh6Pi/uoJ+t/dX0+gbJ1iZwkiVyPm21oy1UwZXJuSBzIQWW8I1C\ndvZW8vf6jYjAVYVnsCx1euRzDjRz+56/UN5Xw5S4PH47/yaWp8+OKm49AS/PHVzHDRt/zcfNu8ky\np/HTRdfy8MrbmJM2OeJcURTZeGgrP3zllzRb2zln+kruO/8nJBrDW0P21u7nL+v+jllv4t4rb0ev\nCb+psbKuinc+fpestCwuXX1JxPseweGw88QTf0Sj0fL979/2H6vWS0hISHwV+BIChcLzk5/c+fMv\n8/wGgwaXK/Z2sBJfHH19PWzdupnJk6cyZcq0EzrXgZpD1DXVcfaK01HKx8c3hSPBHM97uz7gSHsj\n5yw8DaViYhfO5PQidjfsp6z5AC6fmzk5U6MKCLVCxcnZc+l2WinvruKDxp1olWqKE3LH5cvKZXJm\nJBSRpk9gn7WO3b2V1DvamByXN8a+kG1IId+YTpW9hYMDjTQNdVFszjrq0zUqdZSYMulwW2l09VA9\n2EayxoxF9e/lapVcQa4ukaAo0Ol10OLpp9M7gEmhxRAm/urzIIoiHd4BttlqsAfcZGnjWRxXFNa2\nIYoi5bYjfNhTgUquZG3mIrL0SeN+P0VRZEP7Hta378ao1HJ98TmUWCJXNT/pPsCjh/6JT/BzeeFp\nXFN6DkZV9Mi6z7qq+PmOJyjrOkyiPo4bZ1/EDbMvIscc3drR4+jjtxufYF3FR2iUKr6/6mouOuls\nFBG6kR1qrOKXzz+ATCbj3m/fHrG9tMfr4e7f38OQa4i7b/kZ6SmRbR4jPP30kxw8WMFVV13HggX/\nO5Fh0vdtbDz44P2/+G/fg4TE1xlJ5EqcMD6fj/fee4esrGzmzYvcvjQWBp2DlFWUkZ+dS25mfkxz\nNCoNXr+fvbX70Kq1TMubeCOPWqliSdFcypsPsqexApvTzuycKVHzVxVyBYuzZpFtSmV/dw07Ow5Q\n0VNDaWIeFo1p3PgcYypLU2fQ4erjQP8RtnbtJ15jIseQelRkJWrMnJRYSrfHRo2jjbK+GpK0FlJ1\noYqhRqFiqiXU5azB2cNhRyveoJ9MXeJRkSmXyUjXxJGrS8Qt+OnyOWh099HrG0Qhk6NXaI67NS+E\nhGi/38keRyOHhzoIiiKzTDnMMeeGTRUIigJbew+zq78Wo1LLRVlLSB9+HaN/PwNCkH81b2VH7yGS\nNGZuLF1Dhj4x4j283bydZ+veQ6NQc9v0y1iaNjOqSHX5PTyx/188feBNPAEvF5Su4vaFV1MUnxO1\n4YUgCmw4tJXfvPc4bbYu5uXN4OdrbmVqRnHEOXXtDdz9zH34AwHuuuLHzC6aHnHs3155ivJDn7H2\njPM5c3nknOYRWlqaeeSRB8jIyOS22+444fSSLxLp+zY2JJErIfHfRRK5EieMRqPmn/98Gb1ez6mn\nTvyPdzRMBhPrPlqHzT7AaUtPi3l5tigzn417Pmb/kYNMyi4mLSH88vhodCoti4vmUtFaSVnzAXbU\nlZGbmEmqOSnqvFxLOqtyF9Dj6uez7mo2HvmEXpeNwrgs9MdUF/VKLUtSp5OgMbO/v45dPYeptDWS\na0wjblgYaxQqZicUYVDpqLK3sK+/njZnLzmGFPRKLXKZjBx9Mnn6FNrcVhpd3Ry2t6CUK0jWWI4K\nN41cSY4ukQxNHENBL90+B62efqqdnfT6BhkMuvEPR6GpZMpx721QFBgIuOjwDtDg6mGfo4UqZydD\nQS+pajMnx5eQpUsI+5m0uays69jDEWcXiWoTF2ctJUH973zYkd/PTpeVv9W9R42jlWx9MjeWriFO\nEz5H1hv08Zeqt3i/fTdJGgt3zb6SYktkDzBAi6OTu7f/mX3d1eRbMrl36Q2syJ2HUh69ut/j6OP+\nDX/h3QMfo1FpuHnFt7lq8YUYItgOACqba7jnmftx+9z85JJbWDx1fsSxeyrKePLlv5Gdkc2dN90e\nk2B96KHf0t7exq23/oTc3Nge+P5TSN+3sSGJXAmJ/y7/MYNXT4/jyzEKDpOcbKK397+bG/p15oYb\nrqarq4t//WvdCbcavf/Pv2N72XZuv+H/WL7g5Jjn7as/wM+f+x1KhYJ7v307MwqmxjTP5XPz/M43\neffAJkREVpQu4pqlFxGvt0w4d0/HIZ479A4tjk7UchWri07mwkmnYVSPj47qcdt4vn4j5X01yJBx\nauZJXJS/csyye7fbxust2zky2IFSpmBF2ixWps1CPZwR6xcClNnqKeuvJyAGMSt1LEgsZao5e1y1\ndsDvosXTT7vHhiPgRuDfv4JyZGjkSkRAREQUwS8GEUeNUSAjU5tAgT6JNLUlrLh1+F1s66ukZrAd\ngGnmHJYnT0N7TKZtYpKRNw59wvr23QRFgYVJk1mTvThi9m23u59HD/2T5qEuSizZ/HDqxUcfCiKx\no20fj5W9iCfo4xvFK/j29NWoJhC3oijyQeV2ntr+Km6/h3l5M7l5xbciem9H+Kyugl+/8Hv8QT8/\nuvAmVsxaFnFsn62Pm+/5Pm6Pm4fv/j2FOZE3uo2wd+8e7r77dmbNmsN99z30P+fFlb5vYyMlxfy/\n9cFJSHzNkESuxBfCn//8B955500efPAPTJsWeck2Fjp7uvjuz24gwZLAH3/xB0yG8JW+cOyq2sv9\nLz0c6lq25hpOn7siZoFQ193E45v/wZHeZnQqLWtmruLcmasmFLtBUWBzcxkvHl5Pn3sAg0rHN4pX\ncG7RyWHF7oH+ep6r20Cny4pJpWdt3nJWZcw9Wm0URZH9tiO807oTu99JvNrI6RknMTex5KiQdQY8\n7Omvo8LeRFAUsKj0TLfkUmLMIF49/v1yB/1Y/YM4Ah4cATeOgBuvEECGDBmhTX8qmYI4lZ54lYEE\nlQGLUhfRd9vpsVE92MZBewsBMUiaNo4VydPJOKYlsSiK1A2283HPZ9QPdGBUark47xSmRsiyFUSB\nbV0VvFj/Ps6Ah1UZc7my+KyoldigEOSFw+t5reYjdEoNPzjpcpZkhY/vGo3NZefRj56hvPkgBrWO\n60++jJWTFk/48/LJod088OpjyGVy7rjsVhZMnhv13n724F0cqD7IjVfcwOpV4ZtDjJkTDHLTTdfS\n1tbK448/SX5+4YRz/tNI37exIYlcCYn/LpLIlfhC2LNnF/feeydnnnkOP/jBj0/4fK9tfJW/v/o8\nU4qn8Ovbfnm0G1oslNfu5/6XH8XtdTOzcBq3nH896THYFwCCgsDGQ1t4ac867O5BVAolp05eyjdm\nn05mXPRzeIM+1tdv57WaDxn0udArtawuXs55xaeMawscEAK817qLt5q34Qn6SNbGcUHeKSxNm3HU\n7+oN+vmws5xt3QcIigLxaiPL/x975x0eR3X973d71e6q917ce+/duGAbjCFACD2UhJDvL9QQCCmQ\nAiGUJJAQIBAgBDAYd2ywDa64d8uWrd7rFm3fnZnfHysLBC7rKkPmfZ55VtLMvXdmjuf6s2fOPSd5\nACMSenZ6dt1hH1vbjrLfWdlZlS1JZ6UoJo18Uwrx2pjz4gUUJJF6v52j7XWUuOtwhyNV6cxqPWMT\netE7JrPLOKIkctBRydqG3VR5mgDoH5vH/KxxxJxkwdgRRxVvHvuYsvY6dEoNNxXNZGLq4FOeV4vX\nztNb3+BQaxmppgR+MfqHZFtPv6Brd9VBnvnkFRxeF4Oy+vDTKTefsLjD11m57VNeXPwKOq2eX/7g\ngdO+LXh94Ru8t/x9Rg8exS/ueSQqWyxZsoiXXnqBmTMv59577zvt8d2BPN9GhyxyZWS6F1nkypwX\nBEHgtttuwOFw8NZb72M2R+99PRHx8SYefPJxPt+6nqH9hvDYTx49ozCIZkcLf1v8KtuP7EKn0bJg\n/Dzmj7scvTY6sewPBVhTvIkPd6+i0dWCAgXDcwdwxaDp9E0rOu3Cp5VlG1lUshZnwI1BrePy/PHM\nK5qE9Wvxp86gm8WVG/i0dgdhSSDNmMCC3EkMT+zVKXbtQTfr6nezteUwYUnAqNYzNqkvoxN7E6OJ\neIr9QpBj7gZK2mup9DZ3hibolRrSDHGkGeJI1tmIURswq/Vold+MyYWI59UnBvGGAzhCHup9dur8\nbTT4HYSlSB5enVJDgTmFQnMaOaakLt5ebzjAjtYjbGw6QGvAhQLoF5vHVb3GYA6euIhBRXs975ev\nY3drCQCjk/txXd5U4vWn9qBvrz/Ic9vfwhX0MCZjID8Zch2m02RcCAth3tq6mIU7V6AhGO6JAAAg\nAElEQVRWqrhx1FVcMWjaKUv/QuTLz+ur/sOHG5ZiMcbwm1seoTD91GEHG3ds4nd/+z2pSak8//iz\nmI2nfyba213cdtsPEASBV199E5vt4leziwZ5vo0OWeTKyHQvssiVOW+8//47vPbay9xyyw+55prr\nz6mvxMQY6urb+M0LT7Bz/056F/bm4bsfJCH21IvCvookSXy+dxP/XPFvHG4nFmMMV4ydzewR0zEb\noqsaJYgCm0t3sWj3KkoaI8UmsuPTmdV3IpN6jsKoPbmo8ocDfFy2iQ9L1mL3u9CrtMzIG8MVRZOI\nN9i6HNvid7CoYj2fN+xGlCTSjQnMyhzFmOT+X3ptQz42Nh1gY9MBfEIABQoKLekMiiugny0XQ0fK\nMJ8QpNRdT7W3hVp/G86Q9xvnplaoUCuUqJWqzpAFQRLxCsEucbnHSdDGkGaIp8CcQpYxsVPYSpJE\nS8BJsbOKYmcVx9rrECURtULFkPhCxif3J8UQ943n0xFoZ2vzITY07KWsvQ6IlOX9Xt5UetiyTmmT\nCmcdb+xfyo6Gg6iVKm4fMJ9ZeWNPX+3M3sAzq1/haFM5qdYkHrzsTgqTc07ZBsDj9/LUuy+w48hu\nMhLTePzGh0iLTzllm6MVx3joDw8D8OdH/0ROxunHAXj11b+zcOG73HbbnSxYcG1UbboDeb6NDlnk\nysh0L7LIlTlvuN1ubr31+4iiwGuvvY3FcvqFWyfjuD0DwQDPvvoc67dtwGK28OBdDzC4z+njLb+K\nN+Djww1LWbL5Yzx+D0adgcuGTebykTNIiUuKqg9JkjjcUMqSvZ+ypXQXYVHAoNExqecoZvWbRE78\nyXO8BoQgH5dtYlHJWlp9TtRKFVOyRzC/aDJpMV3Hr/e2srhyPZsa9yNIImaNgSlpQ5mWPoy4jvK/\nASHE9tYj7Go9SqWnEYgUmMgzp1JoSacgJp0M05dC1B32Uetroy3oxh324Q77cYf9CJJIWBKQpMji\ns+PpxoxqHSaVDrNaT4o+llR9bOcCMUmSaAu2U+lupNzdwGFnFW3BL5+7DGMiA2LzGJ7Qs8uCusTE\nGEprG9jeXMyWpgMUOyqRkFCgYGB8AdPTR9D/NFXL6t3NvHPoYz6r2oGERL/EAn444CpybSeuQHYc\nURJZtm8tr29aSFAIManHKO6e+P1TfkE5Tk1zHb9982lqWuoYXDiAh6796Wm/INU3NXDfk/fjanfx\nyD0/Z/Tg6PLbNjc3cdttN2CzxfLKK2+i1WqjatcdyPNtdMgiV0ame5FFrsx5ZdGi93n55Re54ooF\n3Hnnj8+6n6/aU5Iklq1dzj/feQVBFPje5ddw3ZxrzziLg9fvZcW2T/ho0wrs7Q6UCgUjeg1l9sjp\nDMw/eaWtr2P3OFl9aAMfH/icZnekBHHftCLmDpjKiLxBJy0aEBJCrKvawcIjn1LvbkaBgtHpA5jf\nYwpFcdldjm0LuPikdjtr6nbgDvlQKZQMji9iTHJ/BsYXdnp3WwMu9rQdY09bKXW+LyvF6ZQaMk2J\npBjiSNLbSNLHYtOaiNEY0Sk1p7xWSZIIiCHcIR+tAVfn1uR3UOVp7IzHBdCrtBRZMuhhyaSnNRPb\nVxa9CaJAeXs9hxzlHGqvYH9zWaeXuMiSyYikPoxM6kPsKbImhIQQOxuLWVu5na21+xCRyLWmc1O/\nOQxOPnnFsuNUt9Xz0udvsa/mMBa9mR9P+gFjCoaess1x1u/bzF8WvYw34OOqcXO46bLrT2rb4zhc\nDu7/3YPUNdbxox/czeWTZ0c1FsCf//xHPvnkY372s4eYNm1G1O26A3m+jQ5Z5MrIdC+yyJU5rwSD\nQe6882aamhp5/vm/U1Bw8kT6p+JE9jxSdoTfv/hHmlqbSE9J50c33M2gPgPPuO9QOMyG/VtYsnkF\nR2vLAEiLT2XG8ClMHTQBq9kSVT+CKLC9Yh/L961ld/UhAJJi4rm8/2Sm9xmPWffNzAoQCQvYUruX\nhYc/odRRA0Dv+DwuLxjPyPT+XdJeBYUQmxr3s7p2K5XuiNfWoNIyNLEXQ+J70Ds2B3NHXG57yEdp\ney3H2us45qqlOeA84fgqhRKTWo9WqYlMAIpIuILYEa7gDwe6pBv7KrFaM1mmZLJNSWSZkyOhCx0F\nNPzhAEddNZQ4qylxVnHUVYNfiORSVaCgwJLO8MTejEjqTYLedsL+Adp8TnY3HmZX42F21B/E2yGq\n820ZzO8xhbEZg04bQ9vgbOa9Hcv5tHgToiQyPHcAP5l8U1Rp4Vzedl5a/Crr929Bp9Hxkyt/eMoU\nYcdpbGnk0Wd+SW1DLVfPWsAtV9982jbH2blzO48++iA5OXn89a8vX1KFH06EPN9GhyxyZWS6F1nk\nypx3du3awS9+8QB5eQU8//xLqNWnL7P7dU5mT4/Xw5uL3mLZmuWIksiEEeP54bW3E2c7/cr4ryNJ\nEkeqj7J862o27P+CUDiEWqVidO/hzBg+lX65vVGexnN3nOq2OpbuW8Oa4s0EwkH0Gh1Te41hzoCp\nJ83KIEkS+5pKWHR0HTsbIiLZpothWs5IpueNJsUU3+XYKk8jmxv3s6XxAC0dAlYB5MSk0jc2jyJr\nJjnmVOJ0FhQKBQEhRJPfQZPfTlugndaAC0/Y37FFUoghHfetSigVSgwqHQaVFoNah0mtJ05nIUFn\n6fi0EqMxIEkSrpCHGk8TFe0NVLjrqWivp87b2iWeN82YQC9bNr1tuYwr6Ev4JI+nM+DmUEsZh1pK\n2dN0hApnXee+RGMsYzMGMS5jMAWxmaf13Da6Wnh3+zLWHN6MIApkxKZy8+irGJE7MCpP/dbinbyw\n6B843E56ZRXx/xb8iPSE02drqKip4LFnfkmro42rZy3g5gU3Rf1moL3dxd1334bDYee5516koKAo\nqnbdiTzfRocscmVkuhdZ5MpcEI6/er3llju45prrzrj96ex5rOIYf33zRUrKSjDoDSyYeRVXXnbF\nGaUa+yrtXjdrd6/n4+1rqGqKeFfT4lO5fOR0pg6ZiEl/Yq/sN/rxu1l1cAPL962l2d2GAgUj8gZy\n1eAZ9EotOGm7mvZGPi7bxJqKbbhDXhQo6JOQz4SsIYzJGNglBZkoiZS6atlvL+NAWxlHXdWd6cMA\nzBoDGcYkUo3xJBliiddZSdBbsWrNGNU6DCodmpNkVwiLYbzhAD4hgCfkoy3Qjj3oiohkv5N6byv1\nvha84UCXdgaVlmxzCoXWTIqsWRRZMzszP8CX9nT42ylz1FDqqKHMUcMxexUNni/DLDRKNX0S8hmc\n0ovByb3IsqScViz6gn6+KN/D+pKt7Ko6GBG3thSuGzGXsQXDThtiAFDRUMUbq99h2+FdqFVqbpz2\nPa4Ye3lUbbfs+oJnX30Wt9fD7dfexvzLrjxtm+MIgsATT/ySL77YzI033sZ1190QddvuRJ5vo0MW\nuTIy3YsscmUuCO3t7fzwhzcSCPh5+eV/k5iYeEbto7GnKIqsWr+af3/4Js52J/G2OH5w5Q1MGTul\n8xX6mSJJEsVVR/h42xrW799CKBxCr9UxedB45oycQVbyyReYfZWwEGZL2e4uWRl6JOcxb+A0xhQM\nOen5BYQgm2r2sLp8CwdbSoFIJoRBKT0ZltKHfkmFpJuTugg/vxDkiKOK8vY6Ktz1VLobafE7ugjf\nr6NSKL9RDUyQBEKicMrrUimUpBjiSDHGk25MJNucQk5MKsmG2C4hBAEhSG17ExXOOiqd9dT5Gilp\nrqbN3zWEIkZroiA2k97xefROyKMoLge9+vQLruxeJ3uqi9lWtodtFXsJhCNhEfmJWVwx6DLGFw6P\nSqA22pt469P3WLdnI5Ik0S+3N3fPvZXs5FOXDwbwB/y8vvANlny6FJ1Wx70338OkUZNO2+44kiTx\nl7/8mZUrlzFgwCCefPLpSz5M4TjyfBsdssiVkeleZJErc8FYtWoFzz33NGPHTuAXv/jVGbU9E3t6\nfV7eX7GQRas+IhgKkp2ezfXzrmPMkNFRhxucCKfHxaoda1mx9ROaHS0ADMjry9wxMxneY3BUfUuS\nxIG6Ej7avZpt5XuRkEg0x3H5gClM6zUWi+HkuVObvG1srN7N59U7KHPUdv49Tm+lf1IhPeJyyLNl\nkGtL70wfdhy/EKTZZ6fF76Ql4KTF76A95MXX4aX1hQOExDBfnQJUCiUGtS6yqSLhCjZdDHG6GOK0\nFuL0kZCF4wJdkiQcgXZq25uodTdR195MdXsD1a4GGj1t30hFlmCwkWtLJ9+WSZ4tg3xbBonG2NN6\naiVJotVj52hjBYfqj7K76hAVrTWd+9NtyYwvGsH4wuFkxp0+tACgqrGGjzYtZ83uzwkLArmp2dw8\n/TqGFEUX1lB8rJhnX32emoYaMtMy+fndD0WdJuz4Nb3xxqu8++7b5OUV8NRTz2I6g8p+3Y0830aH\nLHJlZLoXWeTKXDBEUeT++++luPggf/nLP84o1vBs7NnS1sK/F73F2k1rESWRvMxcfjD/BoYPGH5O\nVb8EQWDr4Z0s3fIx+8oOApCdlMHVE69gfL/RUXvfah2NLN37KZ8Wb8IfCqBVaRhfNJxZ/SZRlJx7\nyrZ17mb2NZWwr+ko+5uP4gh8eW8UKEgyxZFrTSfZFEeSMZ4UUxxxBitmrQmL1ohBrY/6HkiSREgM\n4wn5cAbcOP3tOAJu7H4nTV47Td42mjxtNHnb8IR832hv1ZnJiEkm05JCjiWVHGs6g/MLCbhO7lk+\nTjAcosbeQFVbLVVtdZS3VHO0qQKH19V5jFaloU9aIQMyezM4qy+5CRlRXVsgFGTLoe2s3PoJByqK\nAUhPSOX6yQsY3z+6L0QtbS38a+EbrNuyDoArps/jpqtuRKfVnabll/j9Pp5//hk++2wNqalpPPPM\nX4iNPfOY8u5Enm+jQxa5MjLdiyxyZS4oO3Zs47HHHmLKlOncf//Po253LvasbajlP4vf4bOtnyNJ\nEj3yenDN7KsZMXD4OXl2IRK7+cGGJXy2dxOiKJISl8yC8XOZOngCGnV0Kc3cfg+fFG9kxf7PqHdG\nSt4WJuUwvmg4Y/KHkGQ5dcELSZKoaW/kqL0qEt9qr6HKVY8r6Dlpm4iXVo9WpUatVKNVaVAqlIiS\n2LmFRSHi6Q0HEE8R6gCR1GGJpjjSzUmkxySREZNEqjmRjJjkb1R1g672FESBpvZW6p1N1DmaqHM0\nUutopM7RSKOrGVHqOlUkxcRTkJRDQVI2Rcm59EotQBdFSANEvqDsLt3P+r2b2HxoO75ARJQPyO/L\n7BHTGdk7uphdZ7uThSs+YOmaZQRDQfKz8rnr+3fQp+jUZX2/Tk1NNU8++TgVFeX06tWHRx55nISE\nMwvluRSQ59vokEWujEz3IotcmQuKKIrcddct1NfX8cYb7xIXF53H6nzYs7K2krc+eptNOzYDkJ6S\nzlUz5jNl9OQzzrH7dRramvhgwxI+2fkZoXCIeEssV0+4ghnDpkQtdkVJZE/1IVbsW8e2ir2d4q4w\nKZfR+YMZlNWb3ISsqESYJEm4gm4aPW00elpp8LTi8LfjDnlxBTy0Bz2dIQohIUxIDCFKIkqFsmNT\noFKoMGr0GNQ69GodRk0kXMGqM2PTxWDTx5BojCXJGE+M1nhK76koibS47dTZG6l1NNAaaKO0rpo6\nZxONrpYTimirIYZ0WwpZ8Wlkx6WTFZdGTkIGVsPJ8+ieCKfbxe5j+9h1dC87Svbg9ES8wEm2RCYM\nGM20IRNJT0iLqq82p53FqxezbO1yfH4fCbEJ3HDF9Wcc9y0IAsuWLeaNN17B5/MxZ84V/PCHPzrn\nf4fdhTzfRocscmVkuhdZ5MpccBYv/pC///0v3Hnnj7niigVRtTmf9qysrWTRqo9Yu3kdYSFMvC2O\ny6dczowJl2GNOfuqbABtLjuLNi1n+RerCYQCJFrjuXbyVUwdPAG1KvrUaQ6viy/KdrPx2A721Rzu\nFIFGrYE+aYX0Te9BbkIGmbFpJJhPH8d6oZEkCU/AS1N7K42uls7PemczDc4mGlzNhITwN9pZDTGk\nWpNItSZ2fCaRHptCmi35pHmFT4e93UFxVQmHKo9woPwQx+rKkTq+MNjMVsb2HcnEgWPpmVkY1X2T\nJInDpYdZumYZG7dvIiyEsVlsXDP7amZNmolWc2aVyPbt28NLL71ARUU5JpOJe+75f0ycOOWsrvVS\nQZ5vo0MWuTIy3YsscmUuOHZ7GzfccDWFhT147rkXo2pzIezZYm9h8eolrPhsJT6/D61Gy8SRE5k3\nbQ65maeOiT0dDreThesXs/yL1QTDIZJjk7hm4hVMGTQBzRnmCXb53Oys3M/+2iMcqCuhztHYZb9e\noyMjNoVEczyxJguxRhuxRgsxehMGrR6T1ohRa0Cv0aFRqdGo1KhV6s4yv8cRJBG3x83v/vgptXUa\n0rO83Hz7EMII+EIBfEEfLr8bt99De8CDy+emzeOkzeOgzeMgKIROeP4mnZE0azKp1kTSbcmkxabQ\nNzcXgxRz1kL2OPZ2B6V15ZTVV1BWX8nR2jIa2r68Pyqlit7ZPRhcNIAhhQPJTcmKOkTF6/OyYftG\nlq9dzrHKSGaLzLRM5k6dw9QxU84o7hYioQmvv/4KmzatR6FQMH36TG6++XZsttgz6udSRJ5vo0MW\nuTIy3YsscmUuCo88cj+7d+/k739/jezs0wvKC2lPr8/L6g2fsHTNMuqb6gHoU9SHuVPnMHrwqHNK\n49TqauO9zz5i1Y61hMIhEq3xLBg/j+lDJ52xB7CzT7ed4vpjVLbVUdNWT7W9nlpHwwk9pRcapUKB\nzRgR1nEmG0kx8SRZ4kmOiScxJp5Ua9IJM0acqT29fi81LXVUNtZQ2VhFRUM1FY1V2NsdXY4zG0z0\nzCqiV1YRvbN7UJSRj14bfa5kQRTYW7yPNRvXsHnXFgLBAEqlkpGDRnL55NkM6NX/jL3mFRXlvPvu\nW6xf/xmiKNKzZ2/uuusn9OjR84z6uZSR59vokEWujEz3IotcmYvCF19s5te//gUTJkzm4YcfO+3x\nF8OegiiwY98Oln66jF0HdwOQEJvArEkzmTlxxjmFMrS62vhwwzJWbvuEQCiIzWxlxrCpzBw+lQTr\nua+kFyWRdr8Hu8eJ3eukzePEE/TiCfjwBX0RT2zIT0gIRWJwhTCiKHYRbEqFku1bHTjaMpHCGsSw\nlgRbDT+4vidGrR6DRo9Zb8KiNxGjN2PRm7EYYqKKEf46J7KnIIo0OZqpbamnrqWemuY6alrqqGmu\no9XV9s0+bAnkpmRRkJZHXloO+ak5JNoSzliECqLAoaPFbNqxiU07NtHqiIyVmpTKlNGTmTZ2Konx\nZ7YYTJIk9u7dzUcffcDWrZEY8Ly8fK6//kZGjx7X7eEl5xt5vo0OWeTKyHQvssiVuShIksQ999xB\neXkpf/vbK+Tm5p3y+Ittz5r6GpauWcanm9bg8/vQaXVMGTOZuVPmkJWeddb9OtxOFm1czsptn+Lx\ne1AqlYzqPYxZw6fRL6/PWQnG88l11y1hzZrvd/4+c+ZbvPHGvPM6hj8YwBN2sPfIESoaq6luqqGu\npYEGeyNh4ZvFJxKt8WQmpZORkE5mUjo5KZlkJ2dFXXXuRITDYfYd2c+WnVvYvHMzdlfEI2w2mRk3\ndCyTx0ymd0GvMxajwWCQdes+ZfHiDygvLwOgZ8/eXHvtDQwfPvI7J26PI8+30SGLXBmZ7kUWuTIX\nja1bt/CrXz1CYmISTz/9PMnJKSc9trvseTyUYfEnS2hsicR6Duw9gHnT5jGs/9CzTkHmD/r5bO8m\nlm35mPKGKgBsJiuj+gxjTJ8R9MvrfUYL1c4Xx47V8MADO6isjCE318Wf/zyS7OzoCip8FVEUsbsd\n1LU0UNsa8crWttRR1VRLo72pcyHYcWIMZtISUkiNTyEjIY30hFTSE1JJi0/FcJalmb+Ox+th98Hd\nbNn1Bdv2bsfji6RYs8ZYGT14FGOGjqZ/z/6ozzBmGiLxtitXLuWTT1bR3u5CqVQyduwErrhiAb16\n9T4v538pI8+30SGLXBmZ7kUWud9R/vvft4mNjSMtLY2MjMxLJtn8e++9w7/+9TIpKak89dTzJy33\n2932FASBrXu2suTTZew7vA+ArLQsrpo5n4kjo8+J+3WOlw1es2s9Ww5t70xvZdKb6JVVSI/MQnpk\nFlCUWUDMKaqhnW8kSTqh11GSJNx+D26vG5fXjd3twO6yY3c7aHXZaXI002hvpsnRQij8zYVoVpOF\nrKQMemTnkmhJJic5k6zkTCzGM0sLFg2iKFJaVcbO/TvZeWAXxceKEcVIlorEuERGDR7JyEEj6dej\n71nFXQeDQbZs2cjKlcvYuzcS3mK12pgxYxazZ88jMTHpvF7PpUx3P5/fFmSRKyPTvcgi9zuIJEk8\n/PB9VFdXUVdXR3V1FWq1iry8ApYs+bjbc3O+/fYbvPXW68THJ3D77XcxYcLkbwisS8me5dUVfPjx\nh3y29XMEQSDeFse86fOYNXEmRsPZv0IXRJFDFYfZdHAr24/s7pIlACKe3pS4JFLikkiOTcJiisGk\nN2E2mDDqDGjUGlRKFSqlEqVSiSSBKAoIkogoioSFMKFwR0xuOEQoHCYYDhIMBQmGgwSCQfyhAP6g\nn0AwgC/oxxvw4fX78Pq9uP0eXN72TqF4MizGGJJjE0mKTSQ9PpW0hFQyEiPe2eNi9kLZ0+11s+vA\nbrbv3c6O/TtxtjsBUCgUFOUWMaTvYEYOGkF+dv5Zhw40NNSzfPkSVq9egcsV+VIyYMAgZs2aw6hR\nY7v9eeoOLqXn81JGFrkyMt2LLHL/B5AkiZaWFioryxk6dPg39nu9Xn7/+98wePBQBg0aQnZ2zgWN\nJZQkifff/y9vvfUvQqEQhYU9uPbaGxg58svSqpeiPZtbm1m0+iNWrV+Nz+/DbDQxd+pc5k6bg8Vs\nOef+nW4XR2qOcrjqKJWN1VQ11dBob0YQvxm3eiHRqDWYdEaMeiNWUwwWkwWL0YzZYCY2xkZcjI1Y\ns424mFgSbQlRhRecL3uGw2GOlB1h96E97Dm0l8OlhztFeKw1liH9hjCk7yAG9Rl0TjYJhUJs2/YF\nq1evYPv2rUiShMViZfr0GUyfPovMzLOP0/4ucCk+n5cissiVkeleZJErg8vl5PXXX2XXrp3s2rWD\ncDjEoEFDmDJlOrfe+sMLNm59fR2vv/5PNmyIlN/Nyspm/vyrGT16HHl56ZesPd1eN8vWLOej1Ytx\nuV3odXpmTZzJ/BlXEmc7v2EhgijS6myl0d5Mu8+Nx+/B7fPi8XsId2RMEEQRQRRQKhQolR0VzJRK\n1Co1GrWmM0+uVqNFq9ai02jRqDXoNFr0Wn3np16rw6Q3nnUoxqk42+dTFEXKqsrYdXA3B44c4ODR\nQ/j8kdK8SoWSorxChvYfyvD+w8jLyjvnss11dbUsX76YNWs+wemMLE7r0aMXc+ZcwbhxE9Fqzy4N\n3HcNeb6NDlnkysh0L7LIlfkG9fV17Ny5g/Z2F9ddd8MFH6+qqpL33vsP69Z92pnmqlevXvTtO5CB\nAwfTu3dfdLozS8R/MfAH/Hz8+So++PhDWu2taNQapo+bxoJZV5GckNzdp3dJEe3zKUkStQ217Du8\nn/1HDrDn0J7OEASAjJQMBvYewKA+g+jXsy9m47nHLYuiyK5dO1iy5EN27NjW4bW1MHnydC67bBY5\nOedWKOS7iDzfRocscmVkuhdZ5MqcMcuXL2Xbti+47LKZDB8+8qxWp5+IxsYGPvtsDTt2bOPw4UOE\nw5FiB0qlkszMLPLyCsjLKyA3N5fU1HSSkpLP29jnQigUYs3mNby3fCENzQ0olUomjpzA3KlzKcot\n7O7TuyQ42fMZCoU4VnmMw6VHKC49zMGSg9id9s79cbY4BvcZxOC+g+nfqz9x1vNXLcztdrNmzSqW\nLv2I2toaIJL+a968+YwZM/5/MtY2WuT5NjpkkSsj072c9gEsKip6DZgNNJWUlPTr+Fsc8C6QDVQA\n15SUlDhO2gmyyP0ucezYUT788H1WrVpJfX0tl18+jyuvXMCIEaPO+XXxcUwmFZ99tpk9e3Zy+HAx\n5eWl+Hy+LscolUqSkpJJTk4hKSmZpKRkEhMTSUpK6fzbxRTBgiCwftt63l32PlV1kTRhvfJ7Mnfa\nXMYMGX1JCPLuIjExhpraFipqKjhWWUpZZRmlVaWUVZd3fpmBSFxt/5796NejH/179iM9Jf28x4fX\n1dXywQfvsWbNKgKBABqNhgkTJjNnzpUUFfU4r2N9V5Hn2+iQRa6MTPcSjcgdB7iBf39F5D4FtJSU\nlDxVVFT0EBBbUlLy8Kn6kUXud5Py8jKWLFnEokUf8OtfP8mECZPOS79ft6coijQ01FNaepSqqkrq\n6+s6N7v9m9WxICKCExOTSElJJScnl5ycPHJycsnOzsVgMJyX8zwRoiiy++Bulny6lO37dgAR8TZ2\n6BjGDhtL78JeqJRnXzr4UsYf8NPU0kRjaxNNLU3UNtZSXV9DfVMt9U2NXfLlqlVqcjNz6VXQkx55\nPehV0JPkhOQLsuhRkiQOHtzPRx99wObNG5AkieTkFGbNmsv06TOx2WznfczvMvJ8Gx2yyJWR6V6i\negCLiopygKVfEbmHgQklJSWNRUVFKcBnJSUlpyzMLovc7z4ny7V6NpyJPQOBAC0tzTQ1NdLc3ERj\nYwONjfU0NDTQ0FBPa2tLl+MVCgW5ufn069efvn37M3DgEMzmC5OTtrahlqVrlrFuy2e0eyLXE2uN\nZdTgkfQp7EPP/B6kJKZ0W2UsQRQIhSLpxULhUMfPX34GQwGCwSD+YIBAIIDX78Xr9UZSjHk9ONud\nOF0OHO1O7E47bo/7hOPEx8aRlpRGbmYueVl55Gfnk5WWeUEWuX2VSEWyT1iyZBFlZaUAFBYWsWDB\ntYwZM/6s8uXKyPNttMgiV0amezlbkWsvKSmJ7fhZAbQd//1kyCL3f5Pm5mZeeeXYG2cAACAASURB\nVOUlbr31jlNWOPs659Oefr+PysoKKirKKC8vp7T0KEeOFBMKRYoXKJVKhg4dwWWXzTqvMcZfJRwO\ns+/wPjZs38iWXV/gcrs691nMFrLSs8hOyyIhLoGEuATibXHodQa0Gg1ajRa1Wt2R+1ZAEMKEwmEC\nwQB+vw9fwI/f35Hf1ufF6/Pi68h16/P78Af8eP0+AgE/gWCQQDBAMBT5PF0O3GixmC1YLVYSYxNI\nSkgiKT6ypSWnkZGaTm526kV9Ppubm1m5cikrVy7D4bCjVCoZPXocc+deSd++/b+z5XYvFvJ8Gx2y\nyJWR6V7OWeR2/N5WUlJyytxJoVBYUqtlr8n/Gg0NDfz2t7/lP//5D/Pnz+dnP/sZffr06e7TIhgM\ncujQIbZv387nn3/O4cOHAYiPj2f27NksWLCAtLS0CzJ2OBzm0NHD7D98kAMlxRw8UkyrvY1gKHhB\nxgPQ6/TodbrOT51Oh1ajRafVoukQ0hqNBq1ag0aj6fxZr9ej0+rQabXodXrMJhMmowmzMfIZa7Nh\ns1i7pSTx1xFFkZ07d/Lee++xfv16BEHAbDZz1VVXcfXVV5OSEv2XLBmZ84FC/jYlI9OtnEu4wsSS\nkpKGoqKiVGCdHK4gcypaW1t5441XefXVlxkxYhSPPfZrcnPzTnr8xbZnWdkxVq1awdq1n+J2t6NU\nKpk0aSo33XTbRSnX6va6aW5toaWtmea2FtocbQRCgUjYQEfogFKpRKVSRSqdqVQdglWPQW9Ar9Vj\nNBgwGiJFHAwGQ+RTb0Cn03V7DPCFtGddXS1r1qxm7dpPaGioByAvr4A5c65g4sTJ6PUXLv76fxV5\nvo0O2ZMrI9O9nK3IfQpoLSkp+WNRUdHDgE1eeCYTDV6vl9de+yeTJ0+ld++Te3S7y57BYJANGz5j\n4cL/UlFRjk6n55prruOqq753Sebq/bZwvu1ZW1vDtm1b2LDhc4qLDwKg1+sZM2Y8s2fPpWfP3nJI\nwgVEnm+jQxa5MjLdSzTZFd4BJgAJQCPwS2Ax8B6QhZxCTOYC0N32FEWRNWtW869/vYzdbiclJZW7\n7voJI0aM6rZz+jZzrvb0er0UFx9g164dbN36BbW11UBkEeHAgUOYOnU6o0aNvaBZM2S+pLufz28L\nssiVkele5GIQMpcM7e0uTCZzR+qvS8OeHo+Hd955k48+WoggCIwdO4Ef//in2GznryjB/wJnYk9J\nkmhsbKC09CiHDh3kwIF9HDtW0rlITq/XM3jwMIYPH8mwYSOJizu/pZRlTs+l8nxe6sgiV0ame+n+\n1SIyp0QQBILBIIIgdPwcwOPxYLe30draQnNzE01NjbS0tGC3t+HxuAkE/AiCiEajQa83YLVaSUpK\nIi0tg5ycXPLzC0lNTbvkXuf+7W8vsHHjep599q8kJg7p7tMBwGQycfvtdzFt2mW88MKf2bjxc/bt\n28Odd/6YSZOmXnL38NuEJEm0tLRQU1NFbW0NNTXVVFSUUVp6FLf7y1RkarWanj17069ff/r1G0i/\nfgPQarXdeOYyMjIyMt8GZE/uJYAkSdTV1XLo0IGOYgdVNDbW09bWit/vj7ofvV6P2RyDTqdHqVQS\nDofw+Xy4XM5vpIqKi4unf/+IYOjffyDp6RndLthEUeRf//onTz/9e+677z5uueXuS6pKmCAILF26\niNdff4VAIECPHr24/fa76Nu3f3ef2iWHJEn4fD7a2lpobm4mGHRTVlZNU1MDTU2NnTmNA4HAN9qm\np2eSn19AQUEhhYU96NmzN3q9vhuuQuZkfJvn24uJ7MmVkeleZJHbTUQqMB1g/fq1bN26haamxi77\nY2NjiY9PwGQyo9VqUalUkZX1Gi0mk4nY2DhiY+M6StkmkZiYhNFoBCAUCtHU2oTb6yYUDqFSqAiH\nQnja3dTW1FBSUsz+/Xux2+2d45nNMWRn55CSkoLFYkWvN6BUKjsLPKjVaoxGE1arlYSERNLTM7Ba\nbRdEGFdXV/HAA/fi9fp56aVXSE/POO9jnAuNjQ289to/WL/+MwCGDBnGtdfeQO/efc9bWeMLiSRJ\nBINBgsEvszeEw2HC4RCCIBAOCx1vDsIdfw937g8Gg/j9fgKBAIGAH4/Hg9frwePx4PG4cTqdOJ0O\nHA47weDJU6JZLBaSkpJJSUkjIyPzK1sWJpPpIt4NmbPh2zbfdheyyJWR6V5kkXuRCYVCfPrpKhYt\nWkh1dSUQEZgDBgyif/+BFBb2ICsr+4z+oxdEgYMlB9m8cwv7Du+nsrayS/nU4ygUCtKS0yjMKaBX\nQS8SrfE01zd2xjw2NNSfUXEAq9VGUVEP+vTpx6BBQyksLDpvojcuzsivfvUEoVCI++576Lz0eb4p\nLj7EG2+8wt69uwFISEhk3LgJjB8/iR49el0Uz3jEW9qK3d6Gw2HH4XDgdEY2l8uF292O2+3G7Xbj\n9Xo6BKr/vBWB+DparRabLRar1YrVaiM+PoHExCRycjLQ6WJITEwiKSlZXiD2LefbMt92N7LIlZHp\nXmSRexH54otN/OMff6OhoR61Ws3YseOZNm0m/fsPPKvX8nanndUbPmHFZytpbm0GQKfVkZ+VR2x8\nPKgVBIUvPXAet5umxka8Hk9nHzaLjT5FvemZ15OcjGwMWgNKSUEoFEQURRQKBZIkEQ6H8Hq92O12\nmpsbqamppqystIsHOikpmdmz53H55fM6vcpny7fBnsfZt28Pn3zyMVu2bMTTcW9jY2PJyysgNzef\nvLx80tIyiIuLw2KxnjIVmSRJ+P1+vF4PLpezU7Ta7Xba2lpoaWmhtTWyRRvOolZriIkxYzSa0On0\nGAwG9Ho9Wq2uo/CDGo0m8rZArVZ3vDVQd/4e2TSo1epIEQmtFp1Oh06nx2QyYTSaMJlMmExm9Hr9\nCcX9t8meMqdHtmd0yCJXRqZ7kUXuRSAYDPLii8+zatUK1Go1s2bN4Zprric+PuGM+vH5fdQ21FJS\nfpSte7ay6+BuBEFAr9Mzbtg4snJyqHbUsePIHuzuk2d0s5ksJMbEQ1Ckqa4Oh73rsUqlEovZgtlo\nxmg0YjVbiI+NJyM1g555PemRX9RZXMBub2Pfvj1s376VzZs34vN5iYuL5/77f86gQWe/eOxStufJ\nCAaD7N69kw0b1rFv316am5tOeJxOp8NoNHUJbRBFEb/fh9/vP6EX/qsoFApsNhtxcQnExcV1hK7E\nYrPFdnhRbVitViwWa0eMtq7b462/jfaUOTmyPaNDFrkyMt2LLHIvMJIk8Yc//Ib16z8jP7+QBx/8\nBVlZ2V2OCYVCrNm8hm17d1BRU067201YCEc8aR3lUgPBAIFg10U6+Vn5DBs8jLBWwcYDW2i0d3hz\nJQUF7S60SgV2kw5vRgZ6cwxIEkIwjMNpx+NqByFiklizjRRbInqFlrAviN/rw+Nx4/a48Xg9hIVw\nl3GtMVZmTLiMq2bOx2w0d/7d7XazaNH7vPfefxBFkZ/97CGmTJl+VvftUrXnmdDe3k55eSnl5aW0\ntLTQ0tJMe7sLl8vZ6fE9LmgVCgV6vQGj0dj5efyVv9Vqw2aLvPqPj08gLi7+klqQFw3fBXvKfIls\nz+iQRa6MTPcii9wLzKpVK3juuafp3bsvv/vdn77xqvpgyUGefvkZmlojXr9Yiw2rxYZarUYQwghC\nJHZSq9FgibESY4lBZ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Pe/X+PTT1eh0Wj42W3/h1Kp5A8vPUUoGOLq8fOwu52svG4GfVxa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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10b223d50>"
]
},
{
"latex": [
"$$5.0 \\cdot 10^{-8} \\left(- 1.0 \\cdot 10^{14} x_{2}^{2} + 9.0 \\cdot 10^{14} x_{2} + 3.01 \\cdot 10^{15}\\right)^{0.5} + 2.25$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAiUAAAAgBAMAAAA/ERVCAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
"prompt_number": 54,
"text": [
" 0.5 \n",
" \u239b 2 \u239e \n",
"5.0e-8\u22c5\u239d- 1.0e+14\u22c5x\u2082 + 9.0e+14\u22c5x\u2082 + 3.01e+15\u23a0 + 2.25"
]
}
],
"prompt_number": 54
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Special cases: identical covarinces"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"identical covariances:\n",
"[[ 2. 0.]\n",
" [ 0. 2.]]\n",
"[[ 2. 0.]\n",
" [ 0. 2.]]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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3hlx1yI477szkybfx0ksv8ac/3VN1OZIkSf/G2RXUYYMGrc2PfvSzqsuQJEn6\nD/bkSpIkqe4YctUl7rzzDm8LLEmSKmPIVadrbW3l//7v2+y3355Mn/5I1eVIkqQ+yJCrTtevXz9+\n/eur2Guvvdljj5G0tJxPrVaruixJktSHGHLVJRobGxkz5hiuvvo6WlrO52MfO5CZM2dWXZYkSeoj\nDLnqUptvvgUTJkxihx3eDdibK0mSuodTiKnL9e/fn+OO+2LVZUiSpD7EnlxJkiTVHUOuKtPa2sqP\nfzzO2wJLkqROZ8hVZV599VWmTfs7I0cOZ+rUu6ouR5Ik1RFDrirT1NTE2Wf/lK985escdtjBjB37\nNebPn191WZIkqQ4YclW5UaP2YfLk23nggWnsttsIpxqTJEkrzdkV1CM0NzfT0nI51133e9Zbb72q\ny1Evdvnlt/PjH7/Ayy+vyi67vMi3v70fDQ0NVZclSepmhlz1GA0NDeyxx15Vl6FebObMmXz96/35\n178+DMD55z/HZpvdxBFH7FJxZZKk7uZwBUl14+GHn+Bf/9ry9ee12ro8/vhrFVYkSaqKIVc93jPP\nPMNRR32KmTNnVF2Keritt96MzTa7/fXna655P+9+95AKK5IkVcWQqx5vnXXWYeONN2HEiOFcc82V\nVZejHmzAgIH85CdvYdSoy9l119/wzW9OZ/fd/7vqsiRJFeiWqzFqtVpt1qw53bGrPm3IkAHUczv/\n6U/3cMwxn2Hrrbfl9NO/y9prr9PtNdR7G/cEtnH3sJ27XnPzQK94lCpkT656jWHDtufGG29l8ODB\n7LLL+71TmiRJapchV71KU1MTY8d+h/Hjr2XNNdesuhxJktRDGXLVK2288SZVlyBJknowQ67qysKF\nC6suQZIk9QDLDLkR8YuImBkRf2vz2mkR8URE/Ln8s3vXlikt2733/oUPfGBHpk27r+pSJElSxZan\nJ/d8YPEQWwO+l5nblX+u6/zSpBXzjndsw6c/PYYDDhjFuHFn0draWnVJkiSpIssMuZl5KzB7CW85\nNYp6lIaGBkaPPoSJE6cwadL17Lffnkyf/kjVZUmSpAqszJjcz0XEXyPivIhYu9MqklbSRhttzPjx\n17LXXntzxBEfd5yuJEl9UEdD7k+AtwDbAk8DZ3ZaRVInaGxsZMyYY7juuptobPT6SkmS+ppVOrJS\nZj6z6HFE/Bz47bLWGTJkQEd2pRVkO3c927jr2cbdw3aWVM86FHIjYmhmPl0+/RDwt6UtD3j7yG7g\nbTqXz/xAR5CWAAAUSUlEQVT585k3b26HbgtsG3c927h72M6S6t3yTCF2GXA7sHlEPB4RhwNnRMS9\nEfFXYCfguC6uU+o0N998Ezvt9B5uuunGqkuRJEldpFtmSKjVajV7DLqePTPL75ZbpnDssZ/lAx/Y\nla9+9ZvLfYtg27jr2cbdw3bues3NA52FSKqQV+SoT9pxx52ZMuV25s2bx8iRw7n77ruqLkmSJHUi\nQ676rIEDB3H22T/l1FO/wSWXtFRdjiRJ6kQduvBMqid77bU3e+21d9VlSJKkTmRPriRJkuqOIVdq\nx+OP/5NHH51edRmSJKkDDLlSO/785z+yxx4jueiiC6jValWXI0mSVoAhV2rHPvt8iCuv/D0XXvgL\nDj74IGbOnFF1SZIkaTkZcqWl2GKLLZkwYRJbb70tI0YM54orrqi6JEmStBycXUFahv79+3PyyV9m\n11135+mnH6u6HEmStBwMudJyGjZse4YMGeFdoiRJ6gUcriBJkqS6Y8iVVtKkSdczdaq3BZYkqScx\n5EoracGCVg477GDGjv0a8+fPr7ocSZKEIVdaabvttgeTJ9/Ogw/ez267jeC++/5edUmSJPV5hlyp\nEzQ3N3PhhZdx5JFHceCBe3PppRdVXZIkSX2asytInaShoYHRow9h+PD388ILL1RdjiRJfZohV+pk\nG220cdUlSJLU5zlcQZIkSXXHkCt1k9NP/wZXXz2+6jIkSeoTDLlSN9l11z04/fRvMmbM4cye/VzV\n5UiSVNcMuVI3GTZseyZN+gODB6/HiBHDmTx5UtUlSZJUtwy5Ujdqampi7Njv8IMf/Jj/+Z/Pcfnl\nl1RdkiRJdcnZFaQK7LTTCKZMub3qMiRJqluGXKkigwatXXUJkiTVLYcrSD1Ma2tr1SVIktTrGXKl\nHmb06AMYN+4sw64kSSvBkCv1MN/97g+YNOl69ttvT6ZPf6TqciRJ6pUMuVIPs9FGGzN+/LXstdfe\n7LnnLrS0nE+tVqu6LEmSehVDrtQDNTY2MmbMMVx11QRaWs7nhhuuq7okSZJ6FWdXkHqwzTffggkT\nJrHKKv5TlSRpRfiTU+rh+vfvX3UJkiT1Og5XkHqpmTNnVl2CJEk9liFX6oVaW1s56KB9OPHE45g7\nd27V5UiS1OMYcqVeqF+/fvz2txOZN28eI0cOZ+rUu6ouSZKkHsWQK/VSgwatzdln/5SvfOXrHHbY\nwYwd+zXmz59fdVmSJPUIhlyplxs1ah8mT76dRx75B48+Or3qciRJ6hGcXUGqA83NzZx3XkvVZUiS\n1GPYkytJkqS6Y8iV6twtt0zxtsCSpD7HkCvVsZdeeomvf/1UDj74IGbOnFF1OZIkdRtDrlTH1lpr\nLSZMmMTWW2/LiBHDueaaK6suSZKkbmHIlepc//79OfnkL3Pxxb/k9NO/yZgxR/Diiy9UXZYkSV3K\nkCv1EcOGbc+NN97K2962Gf36ObGKJKm++ZNO6kOampo44YSTqy5DkqQuZ0+uJEmS6o4hVxJz585l\n3LizvC2wJKluGHIl8eqrrzB16h3sttsIpk27r+pyJElaaYZcSay77mBaWi7nyCOP4oADRjFu3Fm0\ntrZWXZYkSR1myJUEQENDA6NHH8LEiVOYNOl69t13D+bNm1d1WZIkdYizK0j6NxtttDHjx1/LpEnX\n09TUVHU5kiR1iD25kv5DY2MjH/zg7lWXIUlShxlyJUmSVHeWGXIj4hcRMTMi/tbmtXUj4oaIyIi4\nPiLW7toyJfUEDz74AMcc8xlmz36u6lIkSVqq5enJPR9Y/HvLk4EbMjOASeVzSXVuww03YtCgQey8\n83u56aYbqy5HkqR2LTPkZuatwOzFXt4HuLB8fCGwXyfXpQo8/vBD3PCLc3nwj3dXXYp6qKamJsaO\n/Q7jxp3DCSd8gZNO+h/mzp1bdVmSJP2Hjo7JXT8zZ5aPZwLrd1I9qshfb5jI8/vvxUdPPp61Prwf\nt/78nKpLUg+24447M3nybcydO5d9992DhQsXVl2SJEn/ZqUvPMvMGlDrhFpUoWcv+DkjZ8ygEdh2\nzhxaL7pwmeuobxs0aG3OPvunXHDBJTQ2eg2rJKln6eg8uTMjYoPMnBERQ4FnlrXCkCEDOrgrrYiO\ntvPqq/x7SFm1oeZn1g7b5d8NGfL2LtimbdwdbGdJ9ayjIfca4BPAGeXfVy1rhVmz5nRwV1peQ4YM\n6HA7r7rfQdx95128c/ZzPLL66szb5wA/syVYmTbuS2q1GgsXLqRfv34rvK5t3D1sZ0n1bpkhNyIu\nA3YC1ouIx4FTgdOBX0XEEcCjwIe7skh1ve0/dCAP/teGXHrbH1h3yy35wG57Vl2SerEJE37HT34y\njnHjzmGTTd5SdTmSpD5omSE3M0e389YHOrkWVWzzd76Lzd/5rqrLUB3Yffc9eeyxR9ljj5Gccsqp\nHHroJ2loaKi6LElSH+LVIpI6XWNjI0cddQxXXTWBlpbzOfjgg5g5c0bVZUmS+hBDrqQus/nmWzBh\nwiS22WY7Pv/5o6ouR5LUh3T0wjNJWi79+/fnpJP+l9dee63qUiRJfYg9uZK6Rf/+/asuQZLUhxhy\nJVVmzpwXvS2wJKlLGHIlVeaqq8YzcuRwpk69q+pSJEl1xjG5kipz6KGfZJ111uWwww7mYx87lC9+\n8ZSqS5Ik1Ql7ciVVatSofZg8+XYeeGAau+02gr/97W9VlyRJqgOGXEmVa25upqXlco488iguv/zy\nqsuRJNUBhytI6hEaGhoYPfoQhgwZwKxZc6ouR5LUy9mTK0mSpLpjyJXU402bdp+3BZYkrRBDrqQe\n7847b2fEiOFcffX4qkuRJPUShlxJPd7hh3+aiy/+JWecMZYxYw5n9uznqi5JktTDGXIl9QrDhm3P\njTfeyuDB6zFixHBuvnly1SVJknowZ1eQ1Gs0NTUxdux32G23PXn55ZerLkeS1IMZciX1OjvuuHPV\nJUiSejiHK0iSJKnuGHIrdFvLBUz5yP7c8PGP8uBdd1RdTo8y47HHmHDkJ5ly0L7c8J1vUavVqi5J\nvcCvf30506bdV3UZkqQewOEKFfnLxN+z+Ve/xJZzXwLgqgcfYP2Jk1l77XUqrqx6tVqNuz/7aQ6f\neicAz94yhUlNTYw45tiKK1NPt3DhQg44YBRHH/0Fjj76c/Tr16/qkiRJFbEntyL/mnrn6wEXYPj0\nR3joj/dUWFHPMWfOi2ycD77+fHCtBn+7t8KK1Ft85CMfY+LEKUyadD377bcn06c/UnVJkqSKGHIr\nstpbNuWZNr1Mfx+8Hhtu+fYKK+o51lprADOGDn39+XzglaFvqq4g9SobbbQx48dfy5577s0ee4xk\n4sQJVZckSaqAwxUq8r6DP86EfJABN07ktdVWY60xx7DBm95cdVk9QmNjIxuO/T8u/tbXaHruWZ7b\ndhi7n/KVqstSL9LY2MhRRx3DyJEfYPXVV6+6HElSBRq6Yye1Wq02a9ac7thVnzZkyABs565lG3c9\n27h72M5dr7l5YLf8jJW0ZA5XkCRJUt0x5Erqc44//gvcdNONVZchSepChlxJfc6++36IE074Aiee\neBxz586tuhxJUhcw5Erqc3b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"text": [
"<matplotlib.figure.Figure at 0x10b8ea650>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Np4Lct5UkyBWiadUX5MYAMVrrjUqpIGAdcAXwNyBba/2KUupRIExr/Vht9UiQ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wnWGrrcv9XtOX6y5uECOBU3hfYG1KhI1XWdrlHvaGVzQwF+ai2jQvp1OdfisJBTX0iILoCEgIgu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\nhBBCCCGEEEIIIXzL/wMjZUUXSJDCfQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x109cebf90>"
]
},
{
"latex": [
"$$- x_{2} + 24.0$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAGIAAAARBAMAAADUPWRSAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
"prompt_number": 57,
"text": [
"-x\u2082 + 24.0"
]
}
],
"prompt_number": 57
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# random dataset"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"random dataset:\n",
"[[ 69.84 49.24]\n",
" [ 49.24 136.49]]\n",
"[[ 64.6 72.2]\n",
" [ 72.2 224.8]]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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NzJz5X9555wNatLCo44iIJIWKXxER2a5rr72BmjVrEYvFoo4iIpI0Kn5FRGS7\natWqHXUEEZGk05xfEZE098sv81m8eFHUMURESoSKXxGRNJWTk8O//vUA3bp15IsvZkQdR0SkRGja\ng4hIGvrssylce+1V7L77HowZM55mzfaOOpKISIlQ8SsikmauvfYqPvjgfW6//S569jxZJ7SJSFrR\ntAcRkTTTrdsJTJo0nV69+qjwFZG0o5FfEZE006VL96gjiIhERiO/IiIpauPGjVFHEBEpdVT8ioik\noLFjx9ChwxF8881XUUcRESlVNO1BRCSFLF68iBtvvI5Zs/7Lvfc+yMEHHxp1JBGRUkUjvyIiKWDz\n5s088cSjdO7cgZYtWzFhwmd06nR81LFEREodjfyKiKSATZs28e233zB69FiaN28RdRwRkVJLxa+I\nSAqoVq0ajz76ZNQxRERKPU17EBEREZG0oeJXRKQMmTPnOwYNuoj169dHHUVEpExS8SsiUgasWbOG\nIUP+zimn9ODww4+kUqVKUUcSESmTEprza2b7Aa/kWbUPcBPwAvAq0BSYB/R19+wiZhQRSVvxeJxR\no0Zy8803cPTRxzJhwjQaNGgQdSwRkTIroeLX3b8HDgUws3LAIuBtYDAw1t3vMbPrwuXBScoqIpJ2\npk+fxn333c3jjz9F+/Ydoo4jIlLmJWPaQxfgR3dfAPQGhofrhwN9ktC+iEjaatu2HePGTVLhKyKS\nJMkofs8CXg4fN3T3zPBxJtAwCe2LiKS1ChV0VUoRkWQpUvFrZpWAXsDr+Z9z9zgQL0r7IiLpYv78\neYwc+WbUMUREUl5RhxNOBL5w96xwOdPMGrn7UjNrDCwrrIGMjJpFjFA6qB+lRyr0AVKjH6nQByje\nfmzcuJF7772XBx54gOuvv75Yj5UK70cq9EFEolXU4rcfv095AHgHGADcHf4cWVgDWVmrixghehkZ\nNdWPUiIV+gCp0Y9U6AMUbz/Gjx/H9ddfg9l+fPjhBPbaq2mxHSsV3o9U6IOIRC/h4tfMqhOc7HZR\nntV3Aa+Z2UDCS50VKZ2ISIp69NF/8eyzTzF06N1063Zi1HFERNJGwsWvu68Fdsu3bjlBQSwiIjvQ\nt28/LrjgIqpWrRp1FBGRtKJTiEVEIpCRkRF1BBGRtKTbG4uIFKPMzKUsXLgg6hgiIhJS8SsiUgxy\ncnJ47LGH6dixHZMnT4w6joiIhDTtQUQkySZMGM+NN15LkyZ78u67Y9l33xZRRxIRkZCKXxGRJInH\n41x66f/swMytAAAgAElEQVQxbdpU/vGPuzjhhB7EYrGoY4mISB4qfkVEkiQWi3HOOefxz38+pKs4\niIiUUip+RUSS6Kijjo46goiI7IBOeBMRScDixYuIx+NRxxARkV2k4ldEZBesXbuWO++8jc6dOzBv\n3s9RxxERkV2k4ldEZCfE43FGjRrJMce0Yf78eYwfP4W9994n6lgiIrKLNOdXRKQQmZmZDBp0Ef/7\n3zIeeeQJzesVESnDVPyKiBSidu3a9OlzKv369adCBf1vU0SkLNP/xUVEClGlShXOPff8qGOIiEgS\naM6viEgea9eujTqCiIgUIxW/IiJAVlYWf/3rZZx2Wk9dwkxEJIWp+BWRtLZp0yYef/wRjj22DTVq\n1OTVV9/WLYlFRFKY5vyKSNqaMmUS11xzBU2bNmPUqA9p3rxF1JFERKSYqfgVkbR266130LXrCVHH\nEBGREqLiV0TSlq7XKyKSfjTnV0RS3pYtW9i4cWPUMUREpBRQ8SsiKW369Gl0796JF154LuooIiJS\nCmjag0Ri3rzF3HjjDJYsqY7ZSu677wSqV68edayUt3HjRq699l1mzqzFbrut49ZbD6Zly6ZRxyoW\nS5Ys5rbbbmbKlEncdNOtnHZa36gjiYhIKaDiVyLxt79NZ8KEcwGYOTOXatVe5v77T444Veq7/fYP\nefnlfkAlANaufZ7Ro1Or+I3H4zz44D954olHGTDgAu6993Nq1KgRdSwRESklVPxKJBYsqJlnqTwL\nFlSLLEs6mT+/MlsLX4BffqlDbm4u5cuXjy5UksViMapUqcoHH3xC06bNoo4jIiKljIpfiUSzZquY\nO3frUg57770uyjhJlZn5P4YPn0EsFufCC4+ibt06UUf6zb77bgI2AFUA2HvvFSlV+G51ySWXRh1B\nRERKKRW/Eon77+/AjTc+T2ZmDVq0WMVtt/WIOlJS/O9/yznrrCnMmnU2AB999BxvvnlCqfna/YYb\nurN27evMnFmd3XZbx5AhbaKOVCRr167VXHEREdklCRe/ZlYHeApoDcSBPwE/AK8CTYF5QF93zy56\nTEk1u+/egGef7RN1jKR79dVpYeEb3B73q6/689Zb73Deed2iDRaqWLEi99xT9l/39evX8/jjD/PM\nM8OYNGk6derUjTqSiIiUEUW51NlDwHvu3go4CJgDDAbGursB48JlkbRRrVoFgmkFW62hZs3KUcVJ\nOfF4nDfffI0OHY5g5sz/Mnr0hyp8RURklyQ08mtmtYFj3H0AgLtvBlaaWW+gY7jZcOATVABLGunf\n/zg++mg4Y8eeTCyWQ69eYzj55DOjjpUS3L/niisuYfPmXB599Enat+8QdSQRESmDEp32sDeQZWbP\nAgcDXwBXAg3dPTPcJhNoWPSIImVHxYoVGTHiLCZP/pIKFcrTrt2ZlCune8kkQ40aNRgwYCB9+/bT\nayoiIgmLJbKTmR0BTAWOcvcZZvYgsBq41N3r5tluubvXK6ideDweT+T4IiIiZVUsFkvod6+IJEei\nI78LgYXuPiNcfgO4HlhqZo3cfamZNQaWFdZQVtbqBCOUHhkZNdWPUiJZffj++/k89thMNm+uwBln\nNOa44w5KQrqdl87vRW5uLtnZ2dSvX78YUu26VHgvIDX6kQp9EJHoJfTdobsvBRaYmYWrugCzgFHA\ngHDdAGBkkROKlLDs7GwGDvyOl18+i9dfP51LL43z5Zceday0MGnSp3Tt2pGHHrov6igiIpKiinKd\n38uAF82sEvATwaXOygOvmdlAwkudFTmhSAn75JNvcf/9usPLlh3NRx+9zmGH2Q72kqKYO/dHhgy5\nidmzZ3LzzbfRq1fZvxybiIiUTgkXv+7+DXDkdp7qkngckejts09Dqlb9ifXrg6kOsVg2DRtWKmQv\nSdSdd97G8OHPMGjQFTz55LNUqVIl6kgiIpLCdIc3kXwOOmg/Lr/8A4YPn0dOThW6dVvIueeeFnWs\nlNW+/dFceOElZGRkRB1FRETSgIpfke24+uruXHrpRjZv3kz16u2jjpPSjjuuc9QRREQkjehimSIF\nqFy5MtWrV486RsqYMWMaurqhiIhETcWviBSrOXO+4+yzT2fQoItYunRJ1HFERCTNqfgVkWKxZMkS\n/vrXyzj11JM47rjOTJ78OY0b7x51LBERSXMqfkUk6b7++ksOOOAAateuw9SpX3LxxYOoVElXzBAR\nkejphDcRSbrWrQ/kyy+/pFq1Au9uLiIiEgmN/IpI0lWsWJGmTZtGHUNERGQbKn5FJGEzZkxj7Ngx\nUccQERHZaSp+RWSXff/9HM47rx8XX/wnNmzYEHUcERGRnabiV0R22qJFC7niikGcckoP2rU7iqlT\nv6RXrz5RxxIREdlpOuFNRHbalVf+hUMOOYypU7+kdu06UccRERHZZSp+RWSnvfrq25Qrpy+MRESk\n7NJvMRHZaSp8RUSkrNNvMhH5TTweZ9SokZx44vGsXr0q6jgiIiJJp2kPIgLApEmf8o9/3Mzmzbn8\n/e9DqFGjZtSRREREkk7Fr0iamz17FrfccgPz58/j+utv4uSTT9X0BhERSVkqfkXSXE7OJnr16kO/\nfv2pWLFi1HFERESKlYpfkTR38MGHcvDBh0YdQ0REpETou02RNLFgwS8sW7Ys6hgiIiKRUvErkuIy\nMzO5/vpr6NLlGL788vOo44iIiERKxa9Iilq+/Fduu+1mjj22DRUqVGTSpM854YQeUccSERGJlOb8\niqSg1atXccwxbTnxxJ6MHz+F3XffI+pIIiIipYKKX5EUVLNmLSZOnEa9evWjjiIiIlKqaNqDSIpS\n4SsiIrKthEd+zWwesArIBXLcvY2Z1QNeBZoC84C+7p6dhJwiks/atWsZPvwZ5s2byz33PBB1HBER\nkTKhKCO/ceA4dz/U3duE6wYDY93dgHHhsogk0bp163jssYdp0+ZgvvhiBueff2HUkURERMqMos75\njeVb7g10DB8PBz5BBbBI0jz77FPcd9/dtGnTjtdeG0nr1gdEHUlERKRMKUrxGwc+MrNc4Al3HwY0\ndPfM8PlMoGFRA4rI76pXr84rr7zFAQccGHUUERGRMin/yO1OM7PG7r7EzDKAscBlwDvuXjfPNsvd\nvV5BbcTj8XiixxcRESmLYrFYwr97RaTokvIfoJndAqwBLiKYB7zUzBoD4929ZUH7xePxeFbW6mRE\niFRGRk3Uj6LLzc3lscfGsWhRnLZta3PKKe12uY2o+5AMa9euZerU8XTp0jPqKIWKx+NMeu5pcr6f\nQ8VW+3P0eX9i6+/1VHgvQP0oTVKhDwANGtRS8SsSoYSmPZhZNaC8u682s+pAN+BW4B1gAHB3+HNk\nsoJK6rvqqrd55ZW+QHVefvkHVq6cwPnndyx0v1SxevUqnnlmGE888RgdOx7LUUd1plq1alHH2qEP\nht5K90ceokFuLksrVGDs0sV0u+7vUccSEREpUKJXe2gITDSzr4FpwGh3/xC4C+hqZg50DpdFChWP\nx5k0qS5QHYD161swbtzGaEOVkBUrlnP33XfQps3BzJnzHW+9NZo33nij1Be+ANUmfEKD3FwAGm3e\nTJVPxkecSEREZMcSGvl195+BQ7azfjnQpaihJP3EYjFq1PhjsVut2qaI0pSs119/hczMpbz77kfs\ns8++UcfZJRurV9/hsoiISGmj2xtLqXHllbsxZMgYli7dh9atv+Cvf02PKxpcfPGgqCMkbPer/sbb\nixdx4M9z+Xbf5jS56tqoI4mIiOyQil8pNU49tQ2dO69g8eJM9t77eKpWrRp1pKT65Zf5NGmyJ+XK\npc5dxVsfexxrxk1k0S/zOXSvZtSoUSPqSCIiIjuUOr+FJSXUqVOX/fdvmVKF73ffzWbQoIvo1q0j\nP/zgUcdJuho1arLf/geo8BURkTJBxa9IMfnss6mcc84ZnH56b8z2Y9q0r9lvvwKv/CciIiIlQNMe\nRIrBBx+8z003DWbQoMt56qkRKTWSLSIiUpap+BUpBscf35UuXbpRvnz5qKOIiIhIHpr2IKXet5M/\n5aPnniZz4YKoo2xjzZrVbNiwYZv1FSpUUOErIiJSCqn4lVLto3/eRZN+Z3DmtVfxyykn4Z9PizoS\nAMuWLWPo0Ns44ogDmTJlUtRxREREZCep+JVSKzc3l8ovPc9+G9ZTDugxfx6/PPVkpJl++MG55por\nOfroI1ixYgXvv/8xnTvrvi4iIiJlheb8SqkVj8cpH946d6tYvuWS9M03X9Gv3+mcf/5AJk36nAYN\nGkSWRURERBKj4leK3fz5Sxg8eBqLFtVgn31W8sADx1O3bp1C96tQoQIr+5zGkmGP03jzZj5t2IgG\n55xXAom376CDDuGLL2bqyg0iIiJlmIpfKXaDB09j3LhzAZgzJ07Vqs/z+OOn7NS+J956B1MPPYw1\n8+fR/Piu7H3AQcUZFYDly3+lfPny1K79xwI9Foup8BURESnjNOdXit2iRXnv/BXLt1y49n1Oo+sV\nVxd74fvTTz9w7bVX0bbtoUyerJPYREREUpGKXyl2++yzEoiHS5tp3nxtlHH+IB6PM378OPr370uv\nXt2pV68+kybNoEePnlFHExERkWKgaQ9S7B544HiqVn2eRYtq0Lz5Wu64o3vUkX4zZ8533HrrTQwc\neDHDhg3XtAYREZEUp+JXil3dunV2eo5vSWvVan/Gj59MLBaLOoqIiIiUAE17kCLJzc0lKyuL3Agv\nQVaY3Nxcxox5j59/nrvd51X4ioiIpA8Vv5KwWbPm0r37KNq2zeT4499jxozvo470BytWLOeRRx6i\nbdtDePDBe1m+/NeoI4mIiEjEVPxKwu64Yxbffnsua9a0Z/bss7nzTo86EgC//DKfyy+/hDZtDuG7\n72bx5JPPMmbMeA4//Mioo4mIiEjENOdXErZyZZU/LGdnl46TxcqXL0+LFvtx0023kZGREXUcERER\nKUU08isJa9NmA7AiXFrLEUesLtHjx+Nx4vH4Nuv32KMJl112pQpfERER2YZGfiVhN9/ck3r1PuL7\n7+M0a7aFq67qXSLHXbNmNW+++TojRjzL0KH30rZtuxI5roiIiJR9Kn4lYbFYjMsu61oix4rH43z1\n1Re8+OII3nlnJB06HMONN97CkUe2KZHji4iISGpQ8StlwquvvsT9999Dv379mThxGo0aNY46koiI\niJRBKn6lTDjttL6ceebZuiaviIiIFEmRil8zKw98Dix0915mVg94FWgKzAP6unt2kVNKWvjuu9m8\n/fYb/O1v11OxYsU/PJd/WURERCQRRb3awxXAbGDrKfeDgbHubsC4cFmkQMuWLWPYsMfp1q0jZ511\nKgAbN26IOJWIiIikqoRHfs2sCdADuAP4a7i6N9AxfDwc+AQVwFKAO++8jaefHkb37icyePBNdOzY\nifLlyyet/TlTJrHgvrupsnYta44+lhNuvCWyaRNPPPEx//lPLuXL5zJwYF369GkbSQ4REZF0V5Rp\nDw8AfwNq5VnX0N0zw8eZQMMitC8p7uyzz+Pyy6+mevXqSW973bp1LL3mCs7+8QcAsr7+kgmNGtHx\nwj8n/ViFGTv2C+68sxXr1hkAc+dO5MADf2Hfffcq8SwiIiLpLqHi18x6Asvc/SszO25727h73My2\nvQNBPhkZNROJUOqoH9vasmUL06ZN4+eff+bss8/ezrEOTNqx/thuTfz7xRzw04+/r9uyhUq/zI3k\nffrxx9W/Fb4AWVltmT17HO3atd7hfqnwmUqFPoD6UZqkQh9EJFqJjvweBfQ2sx5AFaCWmT0PZJpZ\nI3dfamaNgWWFNZSVVbJ3BSsOGRk11Y/Qli1b+OKLGbzzzkhGjRpJjRo16N9/QIm9Plv7ULlKHabv\n25xWW0d+y5Vj0177RvI+NW9ek2rV/LcCOCNjGvvvv9cOs6TCZyoV+gDqR2mSCn0QkeglVPy6+w3A\nDQBm1hG4xt3PNbN7gAHA3eHPkckKKqVfTk4OHTocQaVKlejd+xReeeUtWrZsFUmWatWq0ei+f/HS\nfXdTZc2aYM7vwIsjydK16+HccMPHjBw587c5v5ryICIiEo1kXed36/SGu4DXzGwg4aXOktS+lAEV\nK1bkrbdG06TJnlFHAaBl+w60fOOdqGMAcPHFnbk4mtpbRERE8ihy8evuE4AJ4ePlQJeitiml04YN\nG5g48RPGjHmPnj1PplOn47fZprQUvmXFxo0bqVChQlKvciEiIiIF0x3eZIdWrFjOhx+OYcyY9/j0\n00844IADOeGEkyKbzpAqtmzZwqhrrqDxh2PYWLkyuQP/j+MGXRZ1LBERkZSn4ld2aNKkT3nvvdGc\neOJJ/POfD1G/fv2oI6WEicOf4fQXhlMnXJ5231383KUbe9t+keYSERFJdSp+hbVr1/L999/RvXun\nbZ7r1asPvXr1iSBVastZvOi3whfAVq9m0tyfVPyKiIgUs6Le3ljKoHg8zvffz+Hxxx/h9NNP5oAD\nWvDAA/cSjxd6WWZJkiaduzKt3u+j6GNtP/Zvf1SEiURERNKDRn7TTDwe56ijDmfjxo106tSFCy64\niOeee4EaNWpGduvfdNSy/VF8/eAjvPbWG+RUqoT95Qpq1a5T+I4iIiJSJCp+U9SyZcuoVq0aNWrU\n+MP6WCzGyJHv06BBAxW7ETvkhJPghJOijiEiIpJWVPymgHg8zvz585g+/TNmzJjOZ59NZunSpQwf\n/hJHHXX0Nts3bNgwgpQiIiIi0VPxmwJuu+1m3njjVdq0aUebNm0555xzOfDAg3XtWBEREZF8VPyW\nclu2bOHnn3/im2++pk6dunTuvO09RK677kZuvvk2TWMQERERKYSK31Jo7twfGTHiOb755iv++99v\nqV27NgcddAh9+py63e2rVKlSwglFREREyiYVvxGIx+MsW5bJsmXLOPDAg7Z5fsuWOHXq1OGyy67i\n4IMPLdYbS2zevJkPh/yd6t9+Te4ejWl9/RAa7tW02I4nIiIiEiUVvyVg5cpsXnzxeebO/Ykffvie\nOXNmE4vF6Ny5K489Nmyb7Zs3b8GVV15TItnG3XU7Zzz5GNXC5WeXLqPn2++WyLFFRERESpqK3yJY\ns2YNS5Ys5ptvVjB79g+sXJnNn/986TbbxWIxFi9eSKtWrTj55FPYb79WZGRklIo5upX9+98KX4D6\nP/1Abm6uTpYTERGRlKTiN4/c3FxWr17FypUrWbkym5UrV3LMMR232W7Dhg0ccEALcnI20bjx7jRr\n1pTddmtIkyZ7brfdWrVqc/vtdxd3/ISsa9KEHKBiuLyiyV4qfEVERCRlqfglmIPbsmUzVq1aRY0a\nNalduza1atWmTp06tG/fgQoV/vgyValShRkzvqFOnbrEYjEyMmqSlbU6ovRF0+mm2xixYgV1Zs1k\n8x6N2f/GW6OOJCIiIlJsVPwSTEuYPv0batSoudOjnnXr1ivmVCWjatWq9H78KYAyXcSLiIiI7AwV\nv6HatetEHUFEREREilm5qAOIiIiIiJQUFb8iIiIikjZU/IqIiIhI2lDxKyIiIiJpQ8WviIiIiKQN\nFb8iIiIikjZU/IqIiIhI2lDxKyIiIiJpI6GbXJhZFWACUBmoBPzH3a83s3rAq0BTYB7Q192zk5RV\nRERERKRIEhr5dfcNQCd3PwQ4COhkZkcDg4Gx7m7AuHBZRERERKRUSHjag7uvCx9WAsoDK4DewPBw\n/XCgT5HSiYiIiIgkUcLFr5mVM7OvgUxgvLvPAhq6e2a4SSbQMAkZRURERESSoigjv1vCaQ9NgGPN\nrFO+5+NAvIj5RERERESSJpaMRszsJmA9cCFwnLsvNbPGBCPCLQvaLx6PqzgWEZG0EovFkvK7V0QS\nk+jVHnYDNrt7tplVBboCtwLvAAOAu8OfIwtrKytrdSIRSpWMjJrqRymRCn2A1OhHKvQB1I/SJBX6\nICLRS6j4BRoDw82sHMHUiefdfZyZfQW8ZmYDCS91lpyYIiIiIiJFl1Dx6+7/BQ7bzvrlQJeihhIR\nERERKQ66w5uIiIiIpA0VvyIiIiKSNlT8ioiIiEjaUPErIiIiImlDxa+IiIiIpA0VvyIiIiKSNlT8\nStpZtWolS5cuQTcYFBERST8qfiWtfPLwA/zQ7jDWtT2Ut849k40bN0YdSUREREqQil9JG0sWL6LR\nQ/dxwv+yaLt+HRd8OIYJDz8QdSwREREpQSp+JW0sX5bJHqtW/bZcCSifnR1dIBERESlxKn4lbbTY\n/wDGH9GGrTN9p9TfjcYnnBRpJhERESlZFaIOIFJSKlWqxDHPv8oL999NpQ3radDrFA44+pioY4mI\niEgJUvEraaVu/fqccMc9UccQERGRiGjag+y0RfN+5qPnn+Onmf+NOoqIiIhIQlT8yk759qMP+bX3\nCZxx9eWUP/UkJo94NupIIiIiIrtMxa/slKyn/s3xS5dQATgyO5uc4U9HHUlERERkl6n4lZ1SLjf3\nD8uxzZsjSiIiIiKSOBW/slOqnXEWX9euDcDPlSuTc/JpEScSERER2XW62oPslLZ9+zFr9ya8NG0K\ndVvuT5eTekUdSURERGSXqfiVndb66GNoreviioiISBmmaQ8iIiIikjZU/IqIiIhI2lDxKyIiIiJp\nQ8WviIiIiKQNFb8iIiIikjYSutqDme0JjAAaAHHgSXf/l5nVA14FmgLzgL7unp2krCIiIiIiRZLo\nyG8OcJW7twbaAX8xs1bAYGCsuxswLlwWERERESkVEip+3X2pu38dPl4DfAfsAfQGhoebDQf6JCOk\niIiIiEgyFHnOr5k1Aw4FpgEN3T0zfCoTaFjU9kVEREREkqVIxa+Z1QDeBK5w99V5n3P3OMF8YBER\nERGRUiGW6I5mVhEYDbzv7g+G6+YAx7n7UjNrDIx395YFtRGPx1UcS4mbOWMGK7OyOKxTJ6pWrRp1\nHBFJM7FYLOHfvSJSdIle7SEGPA3M3lr4ht4BBgB3hz9HFtZWVtbqwjYp9TIyaqofpURhfXj3xmtp\n+9zTtMzJ4cUj2tDppdepVaduCSbcOenwXpQV6kfpkQp9EJHoJTrtoQPQH+hkZl+F/04A7gK6mpkD\nncNlkVJh/s9zOfD552iVk0N94ILPpzP1kYeijiUiIiIlKKGRX3efRMGFc5fE44gUn/Vr19Jw48bf\nlssBFTZtii6QiIiIlDjd4U3SRotW+/Nx565sLXff26sp+5x5dqSZREREpGQlNPIrUhaVL1+ens+9\nyJtPPg5r19Ciz2k0bdkq6lgiIiJSglT8SlqpXLkyXS67MuoYIiIiEhEVv7Jd302dzKLJE6mxb3Pa\nnXJ61HFEREREkkLFr2zj87ffoMF1f6VfdjaLKlZkzKyZnPD3IVHHEhERESkynfAm21j95mscnp0N\nwB45OVQb/Z+IE4mIiIgkh4pf2UZu+T9+IZBboWJESURERESSS8WvbGP3iy/h/T33ZBPwea1aVPzT\nhVFHEhEREUkKzfmVbezf4Rj+v727j9WyruM4/j6AmBxI51gHeVJqfksMDSyGhRANG2SgrKWwcGTL\n/mnLmsuBW67/WLWWueYf+cCIGkIP8rDaFB8GtrYS0ck0+2aLkooDKxSI2cBz+uO6kLvDw4Hjofv+\nnfN+bWdcDzc338+5Dvf53r/rd1135+bH2bD1aSZOuZqZH5zS7JIkSZL6hc2vTqpj7Dg6lixtdhmS\nJEn9yuZXA8Khgwf49bdXctHRNznv2llcs3BRs0uSJEktyOZXxevq6uKx2z7Hl7ZtZQjw4rr1PAc2\nwJIk6QRe8Kbi7du3l6nbt7/9w3zVoYMceOqJptYkSZJak82vijdy5Cg6L7rw7fW3gP+MenfzCpIk\nSS3L5lfFa29vp+3O5WwaO5Zn29t5YNZsZt61otllSZKkFuScXw0IM279PIc/czPnn9/NxLYLGDLE\n93WSJOlEdggaMEaMGMGYMWNsfCVJ0inZJUiSJGnQsPmVJEnSoGHzK0mSpEHD5leSJEmDhs2vJEmS\nBg2bX0mSJA0aNr+SJEkaNGx+JUmSNGj0+RPeIuJh4AZgb2ZOqbddDKwDLgV2ATdn5uv9UKckSZL0\njr2Tkd9VwLwe25YDWzIzgCfrdUmSJKkl9Ln5zcxngP09Ni8EVtfLq4Gb+vr8kiRJUn/r7zm/HZnZ\nWS93Ah39/PySJElSn52zC94ysxvoPlfPL0mSJJ2tPl/wdgqdETEmM/dExCXA3tM9uK2tra2f/31J\nkiTplPp75HcTsKxeXgZs6OfnlyRJkvqszyOvEbEWmA2Mpprfew+wEVgPTMRbnUmSJEmSJEmSJEmS\nJEmSJEmSJEmSzkJTbjUWEZ8Fvgl8APhIZu5o2LcC+ALwFvCVzHy8GTWeqYiYB9wLDAUezMxvNbmk\nXkXEw8ANwN7MnFJvuxhYB1xKIRcrRsQE4EfAe6juKf3DzLyvpCwR8S5gK3A+MBzYmJkrSsrQKCKG\nAtuB3Zm5oLQcEbELOED1+nMkM6eXlgEgIi4CHgSupPq/cRvwRwrKERHvBx5p2PRe4BvAjykrxwpg\nKdAF7KQ6Fu0UlEEaaM7Zh1z0YiewCNjWuDEiJgO3AJOBecD9EdGsGntV/6L/AVWtk4ElEXFFc6s6\nI6uoam60HNiSmQE8Wa+3uiPA1zLzSmAG8OX6+19Mlsx8E5iTmR8CrgLmRMRMCsrQwx3Ayxz/gJvS\ncnQDH8/MqZk5vd5WWgaA7wO/yswrqH6uXqGwHJn5h/o4TAWuAQ4Dj1JQjoi4DLgdmFYPNAwFFlNQ\nBmkgakpjmZmvZGaeZNeNwNrMPJKZu4BXgekneVyrmA68mpm7MvMI1SjFjU2uqVeZ+Qywv8fmhcDq\nenk1cNP/tag+yMw9mflCvXwI+D0wjsKyZObhenE41S/H/RSWASAixgOfohpxPHZWqbgcnHhGrKgM\nEXEhcF1mPgyQmUcz8w0Ky9HDXKrX2tcoK8cBqjfpIyJiGDAC+DtlZZAGnFYbVR0L7G5Y303VzLSq\ncYq5yUsAAAL8SURBVMBrDeutXu/pdGRmZ73cCXQ0s5izVY+wTAV+S2FZImJIRLxAVevTmfkShWWo\nfQ/4OtXp3WNKy9ENPBER2yPi9npbaRkmAfsiYlVE7IiIByKinfJyNFoMrK2Xi8mRmf8Cvgv8larp\nfT0zt1BQBmkgOmfNb0RsiYidJ/lacJZP1d37Q5qmlWvrs8zspqBsETES+DlwR2YebNxXQpbM7Kqn\nPYwHZkXEnB77Wz5DRHyaag7585ziWoIScgAfq0+zz6eaRnNd485CMgwDpgH3Z+Y04N/0OK1eSA4A\nImI4sAD4ac99rZ4jIt4HfBW4jGpwZ2RELG18TKtnkAaic9b8Zub1mTnlJF+bT/PX/gZMaFgfX29r\nVT3rncD/jlyXpDMixgBExCXA3ibXc0Yi4jyqxndNZh77OO0is9Snpn9JNb+xtAwfBRZGxJ+pRug+\nERFrKCxHZv6j/nMf1fzS6RSWgeo1aHdmPluv/4yqGd5TWI5j5gPP1ccEyjoeHwZ+k5n/zMyjwC+A\nayn3WEgDQitMe2gcJdoELI6I4RExCbgc+F1zyjoj24HLI+KyenTiFqoMJdoELKuXlwEbTvPYlhAR\nbcBDwMuZeW/DrmKyRMTo+sp8IuIC4HrgeQrKAJCZd2fmhMycRHWK+qnMvJWCckTEiIgYVS+3A5+k\nuji3mAxQzYUHXouIqDfNBV4CNlNQjgZLOD7lAco6Hq8AMyLigvr1ai7VBaGlHgtpQGjWrc4WAfcB\no4E3gOczc369726qW50dpTqN/VgzajxTETGf47c6eygzVza5pF5FxFpgNtX3vxO4B9gIrAcmUsit\nd+q7ImwDXuT4acMVVG+YisgSEVOoLngZUn+tyczv1LfXKiJDTxExG7gzMxeWlKN+w/1ovToM+Elm\nriwpwzERcTXVhYfDgT9R3V5rKOXlaAf+Akw6NqWptOMREXdRNbhdwA7gi8AoCsogSZIkSZIkSZIk\nSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSYPOfwHcA4P+i0t6MwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10b4b6490>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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RI+8mNrZeTTetWnh6ehIdHUN0dHMaNGh+0v6UlMO88soL/PLLzxjTmptuGloD\nrVRKKVWbaRCs1DkkNTWFiRM/ZsGC73G73XTu3IV77vkTzZu3OKV6snKy2b1vN8XFRTgcDhwODxrV\nb0hU+LmfPgHWLBPPP/8yt99+M/Pnz2PIkFs0LUIppdRxNAhW6hyQn5/HN998yZdfTic/P5+mTS/g\nvvv+zMUXd63U8UXFRazZ+Bsr1q1g+25hX8K+Usu1admGgb0HcHnXHnh7eVflJVS74OAQLrusJ4sX\n/8S2bVu48MKLarpJSimlahENgpWqxZxOJwsX/sCkSZ+QknKYsLBwHnjgYfr1u9ZedKJ8ew7s4fvF\n81m0YjGZ2ZkA+Pn60b51e1o1MwT4B1grwTmL+X37ZjZt38SWHVuY9M1knrj/Mdqatmf7Es+q7t17\nsHjxT4hs0yBYKaXUcTQIVqqW2rBhHePGvc/u3bvw8fFh2LAR3HzzMAIDAys8dvvu7cyY/TkrN6wC\nICwkjBv6XU+vS3vRvEkzPD1KD6APJh1k1oLZzF04j7+99gw3X3sTt98wHB/vc/PGsiMLghw8eGqL\ndiillDr/aRCsVC2TlJTIhAkfsmTJYgD69r2aO++8j+jomAqPld3Cp199xoatGwHITmtO5sFu9Bse\nyQO3XVPh8XExcTx4+5+48pIreHPcGL789isWLvuJK7r1pMfFl9G6ResyA2in08nhtMMkHk4kOSWZ\nw2kpHE5LIS09lYLCAgqKCiksKiTAz5+o8Cgiw6NoXL8hXdp1ITgo+BR6qPLq1asPWIt2KKWUUiXV\nijtFdIq0s0enNapeZ9LfTqeTmTO/YsqUzygoyKd16zb8+c+jMKZVhcceSj7ExK8nsXjlLwAE+zZk\nzeLHyUrpDDiIjFzA8uWtCAsLr3R7cvNymT5nBt8vmk9OXg4AocGhxETG4O/nT4CfPwVFhWRkppOe\nlUF6ZvrR1eDK4u3lTVFx0XHbPDw8aN+6HT0u7kHfHn3w8/WrdBsr09/Dhw/Bx8eXzz6bXul61cn0\nb0nV0ynSlKpZOhKsVC2wZ88fjBnzKjt37iAkJJSHH36Evn37VbjEcX5BPp/P/ZKvv/+a4uJiWjZt\nyb233s2kCQf5OeXio+WysyPJzs4+pSA4wD+Ae4fewx1DRrJh60aW/baM3zatZV/CPgoKC46W8/fz\nJzQ4lNbNWxMbGUNMVCwxkdFEhUcSGR5JZFgk/v7+eHt543A4KCgsIDU9lcOph9m6axvL1i5n/ZYN\nrN+ygcmO83gxAAAgAElEQVQzp3DnTXdwzZX9q2w2h8aNm7Jhwzry8vLw9/evkjpV3ZCXlwegrxul\nzlMaBCtVg9xuN7Nnf8OECf+luLiIvn378cADDxESElrhcct+W864GeNJTkkmKjyKe4bezRXdeuLh\n4cGgQQ7mzVtOSkp3oJgePX6jfv3TmyvX28ubLu0upku7Y0G10+kkNz8PXx+fU84X9vXxJS4mjriY\nONq1bsfQgbdwOPUw3/8yn1k/zGbsxPdYsW4Fj97zCOGhlQ/ay9KypWHDhnX8/vtGuna95IzrU+c3\nt9vNhg3rmDp1MrNmfc3Ysf+lf/9ra7pZSqmzoFZ8FaPpEGePfoVZvU6lv3NycnjnnTdZunQxoaFh\nPProaC699LIKjzucepj3Jr3Pqg2r8fL0Ysg1NzJs0K0npRH88svvzJ9/gOBgJ4880uecGM06nHaY\ntz9+l3Wb1xETGcMLj/2LJg2alFm+Mv39+++bGD16FNdcM5BHHnmyqptcZ5zvf0vS09P48ssZTJ06\nmezsLG67bQTDht1OgwYNz9o5NR1CqZpVK34BNQg+e873N67aprL9ffBgAv/617Ps37+Xtm3b8/TT\n/yQysvyFKlwuF98t+p5PvvyUvPw8OlzYnodHPkTDuLP3Jl0TXC4XM+Z8zpT/TSUkKIT3/z2WyPDI\nUstWpr+dTie3334zAJMnf4G397k9/3FNOd//lixf/isTJ37M8OF3cPnlV1SYilQVNAhWqmZpOoRS\n1eyPP3bx97+PJi0tjRtuuJn77nuwwjl/Ew8n8taEt9m0/XcC/QN55O5R9Ot5dZl5s06Xix0HdrJ6\n+3r2Ju4jLSudtOx08gryiQqNJDY8mtjwGJrXv4DWjVsSFxFb6Rxcp8tFSkYKB1MTSUpPJintMEnp\nyaTnZJKXn0duQS5FzmJCA0MIDwojIjicji3a0bll+0otwOHh4cHw628jwD+AcdPHM2bC27z0xL9P\nOyjx9PSkT5+rmDnzK379dQm9evU5rXrU+a179x50796jppuhlKpGGgQrVY22b9/KP/7xFNnZ2fz5\nz6MYPPjGcsu73W4W/voTH079iLz8PLp3vpSHRz5ERFhE6fXv38l3qxawcutvZOYeG7Xz9PAkPDiM\n4IAg4g8nsPvgnuOOCwkIpklsI2LDo4kIDsff1w+ny4XT5aSwqJDUrHRSMlNJyUwlMS2ZYmdxqed3\nOBz4+/jh5elF/OGDuN3Wlzyzl39HoF8Al7e9lGF9biImrOLlma+/ejDrtqxn9YbV/G/BLIb0L7+v\nyjNw4PXMnPkVc+bM1CC4jiosLGT+/G+ZNm0yb7/9HvXqxdV0k5RSNUyDYKWqye7dO/nHP54iNzeX\n0aOfpU+fq8stn5mdybuf/ofla1fg7+fP4/c+Rt8efU4asS12FrNow6/MXf49O+J3AxAZEk7/Ln3o\n0qoTbZq0IiQg+OhIqtvtJjMni/iUg+w4sIvt+3eybf8Oft+zlU1/bCm3TSEBwTSLa0JcRD3iImOJ\nDY8hJiyK6LAoIoLD8fPxPdo+p9NJRk4mB1MTWb5lFUs2rWD+mp9YufU3XrjraVo0aFbuuRwOB4/d\n8wgP/v0hps+awTVX9CfAP6DcY8rSoEFDOnfuwtq1azhwYB8NGzY+rXrUuWfbtq1MnTqJr7/+nFat\nLmT48JGEhobVdLOUUrVArchH0pzgs+d8z+Orbcrq74SEeB5//C9kZmbw5JPPVBgAb925ldc+fIPk\n1GTat27HY/c+SmxU7HFlXC4XSzYtZ/KCzzmYmoiHw0HX1hdz3aX96Ni83SmnDxQWFZKckUJ6dgZ5\nhfl4eXji6eGJt5cX4cFWWkNl0hnK4nK5mLtiPuPmTcTPx49/jngSd5Yv48fvxO12MHJkY7p3b3PS\ncdNmT2fKzKncP+w+bux/w3H7TuX1vWjRQl5//SWGDRvBnXfee9rXUVedi39Lxo59h/HjP2TYsNsZ\nNux2mjVrXtNNOo7mBCtVs2rFL6AGwWfPufjGdS4rrb8zMzN47LGHSUiI5+GHH+W6664v83iXy8VX\n333N5JlTcLvc3H7DcIZed8txq7S53W6Wb1nNlB+/YG/ifrw8Pbmm61Xc1HMQMeHRZ+3aqsqSTcv5\nvy/GghuSlw9h56a7AahffyEzZsTQunXT48pnZmdy5xN3ExocyidvTDguuD+V13d+fj7Dh99EaGgo\nn346rcqup644F/+WZGVlEhAQWGHOfU3RIFipmnXG6RDGmGeAEYAL2ATcDQQCnwNNgD3AUBFJP9Nz\nKXWuKSws5MUXnyMhIZ6hQ4eXGwBn52bz5rgxrN6wmsiwCEb/6Unat25/XJk/Du5l3LyJbNy9GQ8P\nD/p2uoLhfW+hXkTFSypXhSJnEbmF+eQXFZBXlI+/tx8RgWF4e1b+T0nPdt3x9fbhhUlv4NtyFY7f\nR+J2e5GQ0JcFC744KQgOCQrh8i49WLjsJ3bu2YlpZk6r7X5+fnTo0JEVK5aRmppKRETpedXq3LJv\n314WLfqJO+64+6R9wcEhNdAipdS54oyCYGNMU+B+4EIRKTDGfA4MAy4CFojIG8aYvwFP2z9K1Rlu\nt5v33nub33/fyOWXX1nuV/B7DuzhpbEvk5B0kM4XdWL0n54kNPjYghm5+blM/GEG3678AZfbTddW\nnblvwEgaRtevsva63C4y8rJIyU4nOSuFgxnJJGYeJikrhcPZqaRkp5GZn13qsaH+wTSKqE/f1pfR\n98LL8HCUn4rRrfXFtG/Qno1sJOaiOST+fiNeXodo1Ci41PLdO1/KwmU/sXzditMOggFatDCsWLGM\nnTu3061b99OuR9WsvLw85s2bzfTpU9i8eRNDhtxCcXExXl56m4tSqvLO9C9GJlAEBBhjnEAAkAA8\nA1xpl5kILEKDYFXHTJ78KQsWfI8xrXniiafLzNH9adnPjJ34HgWFBdwy4GbuuGnk0fQHt9vNLxuX\nMeHbyaRmpdEwqj73D7yDLq06lXne1Jx0EtKTOJydyuHsVDLzcygqLqLQWURhcRHFrmKKnU4KnUXk\nFeaRXZBLTkEeGXmZFLucpdbp5+1LVFAETaMaEuQbiL+3L77ePuQV5pOSk05Kdhqb44Xf47ezYMtS\nRvW9i4bh9crtn6fv+isjX36YBp0m40r24obB6Vx/fekj5Z3bdsbby5s1G3/jzpvuKLfe8jRtegEA\nBw7s1yD4HPXmm68yfvyHdO7chTvuuJv+/Qfg5+dX8YFKKXWCMwqCRSTVGDMG2AfkAfNFZIExJlZE\nEu1iiUBsmZUodR769tvZTJ8+mbi4+rzwwiulvkk7XU4mfjWJr777mkD/QEb/5Qkuu/jYinFJacm8\nO/O/rN+5CR8vb0ZcNZSbeg46aZnizLxsVuxex6b47Ww5uIPEzMOVbqeHw0GAjz+BvgE0j25CZFAY\nkUHhRAdFUC8kmtjQKGKDowj0DahwHuHkrFTGL5nOsl1rGTX9eZ67bhQdG598o9sRoYEh3NCzP18v\nmcNbHzvp3+2GMsv6+frR8oKWbNu1jbz8PPz9Tm/1u6Aga6Q5Ly/vtI5XNa9Hj54MHz7yrK7kppSq\nG840HaI58CjQFMgAvjTGjChZRkTcxhi98U3VGUuXLub9998lNDSMl156g7Cw8JPKZGZn8n/jxrBm\n0280qNeAf43659GV31wuF9+t+pFP508jryCPLq068eCgu4mLOPZZMr+ogOW717FkxyrW7v396Ahu\nkG8AXZt2oElkA6KDwokOjiTUPxgfL298PL3x9vTC29MbL09PvDy88PP2rfQiGRWJDo7g2QEPs2TH\nasb8MIGXvn2Pd259rtwR4QGX9OObpXP5Ye0i+nfrW279F7ZozZYdW5A/dtDhwvblli2Lnx085+bm\nntbxqnoUFRURH3/g6Mh9SZdddnkNtEgpdT4603SILsAyEUkBMMZ8A3QHDhlj6onIIWNMHJBUXiXh\n4QF4edXOu3fPB9HRpedZqqq3ePFiXnvtRfz8/Hj33Xdo27b1SWV27tnFEy89S0LiIS7t3I2Xn3qO\nEHuEcu+hA/z7s7fZtGsrQf6BPHfXYwy87KqjgWpixmG+Wjmf//32I5l5OQC0iG3CtR160r1lRy6I\nblgty72WZ0h0HwKDfHjuq//wybIZ/OfOf5QZaEdHB9OldQdWb12Pw7uIqDIWAQHoeFEbvv7uG9Ky\nko57TZ/K6zsx0QqCAwN99ffiNJztPtuyZQuffvopkydPpn///kycOPGsnk8pVbedaRC8DfinMcYf\nyAeuAlYBOcCdwOv2v/8rr5K0NB2VOVvOxWmNzlVr1qzi3//+B15e3rzwwqvExjY5qe9XrFvJm+P+\nj7z8PG4bPIzh199GQR4k5Wby/aofGf/tZAqKCri87aX86bq7iAgJ5/DhbA5lJDNt1WwWbV+By+0i\n1D+YW7sMpFer7jSKOLbyVUpKTnVfdqk61WvPxU3asWr3JmYu/5meLbuWWbbDBe1ZvXU9P6xYytUX\n9y6zXKCftcDBzt17j/brqb6+ExPTAHA6Hfp7cYrO1t8Sp9PJ1KmTmD59CgcO7Gfo0Nv45pt5tGxp\n9DlSSp1VZ5oTvMEYMwlYgzVF2lpgHBAMfGGMuRd7irQzbKdStdovv/zMm2++iqenBy+88Apt2x7/\ndb3T5WTyN1P4Yt6X+Pr48sxDT9Ozq/W1bmJaEv+ZOY71OzcR5B/IYzf/mZ7trJu2EtIT+WLNPH7a\nthyX20XjiPrc0Kkfvcyl+JzmwhX5xQUk56aRnJtGan4GKXkZpOZnkF2YR15xPrlF+ThwEOoXRJhv\nMDEBEfRu0pVwv8pPN+VwOHjwyuE8NPWffLbsK7o364RXGdOoXWw6MOFb2LBrc7lBcEykNQ1cUmry\nqV1wCUdygfVGqtrDw8MDkW08/vhoeve+Smd4UEpVmzP+ayMibwBvnLA5FWtUWKnz3pw5M/nww7H4\n+fnz1ltjaNr0+BSIrJxsXv/wddZuXkdcTBzPPvwMzRtbSwYvWr+U92dNINfO/f3rDfcTFRpJdn4O\n01bNZt6mn3G6nDQKj2NYt0H0bNm1wunH8osLOJSTQuLRn1SSc1NJzLX+zSo89W9eJm+eS6/GXbih\nZW+ahFZuWra40Bj6tbmCeZt+YsmO1fRuXfpsDA2i6uPl6UX84YRy6/O2bwgsLi4+tcaXkJmZAUBI\niM4fWxPcbvdJqTEOh4OXXnq9hlqklKrL9CO3UqfJ6XQyadInfPHFNMLCwnnxxdfp2rXzcV/h7tq3\nm1fef5WDSQfp2r4Lo//0JEEBQWTlZvPR3E9ZtH4pfj6+PHrTg1zVuRfFLiez1i/g89VzyczPJi40\nhpGX3kiPFl3wPCHXt8hVzN6MBHak7Wd3+gESspKIz04iJS+j1Pb6eHoTExBBy/DGRAdEEOUfRlRA\nGBF+oYT7hRDiG4i/ly9+Xr643G6yCnNIz89ia8puZu9YzI97VvLjnpXc0fY6bmndr1J9NKRzf77d\n9DNzN/5UZhDs6eFB/ch6HEhOKDVIKlkOwFXGNG6VkZmZCUBwiTmY1dmVm5vLt9/OYcaMaVxyyaWM\nHv1MTTdJKaUADYKVOi1ZWZm8/vpL/PbbaurXb8CLL75O/foNju53u918v3g+H039L0XFRdx63VBG\n3Hg7nh6ebNj1O2O+fI+UzDRMw+Y8OfSvNIiKY/2+LXy0eCoH0g8R4OPP3T1uYXCHvnh7eh+tc1/m\nQX47tJXfDm1hS8ruk+b1jfIPp0OMIS4omtiACGIDI+2fCEJ8gio9E4SHA8L9Qgj3C+GCsAZc06wH\naw5u5oN1XzB187dcWr89jULKnwcYIDYkio6NLmTd/i2kZKcRGXTyTBlgTZe2L+kALrcbzzLamJtn\njWD7+Z5+KsOxkWANgs8mt9vNypUr+PzzqcydO5uLL+7CiBF30L//gJpumlJKHaVBsFKnaNeunbz0\n0r84dCiBrl0vYfTovxMcfOyu+fyCfD6Y/CE//rqQ4MBg/v6XZ+nWoSvFzmI+/X4aXy+ZjYfDg5FX\n38otV1xPWl4mr333IUt3rsHD4WBguz7cfsn1hPgHAZCcm8bPe1fz496VHMw+lg/bLKwhrSKa0CK8\nMS3CG9EgOAZfT5+T2lsVPBwedKvfDhduXl42gXHrv+bfPR+qVFDduUlb1u3fwvr9W+h7YY8KzlN2\nfYcOHwIgNur0px3XdIjq8ccfuxk9+hGGDh3OkiUrqVcvruKDlFKqmmkQrFQluVwuZs/+hk8+GUdR\nURG33TaSESPuOm5Ksp17dvG3V55nX8I+WjZtybMPP0NsVAz7kg7wf1+MZVfCHuIiYhl96yhaNGjG\nd78vYuKyr8kryqd1veb8udftNI9ugtPtYnn8RubsXMSm5J2Alc7Qs2FnusS1oXPshYT5Vf8UX5fE\ntaNzbGvWJm5jy+HdXBTdvMJjOjW6CIBN8dvLDIKLnMV4OBzlBtXxh6yc4XrRFY9AlyUry0qH0CD4\n7GrWrDm//LKyyuagVkqps0GDYKUqITU1hTFjXmPt2jWEhITy97//jUsuOZbj6na7+XbRd0yYMYGC\nwkIG9b2O+269Fy8vL75buYDx306ioKiQqy/uxQPX3UVSdgpPff0q2w/tJtA3gL/0voN+F/Wk2OVk\n3q4lzNqx6Oio70VRzenVuAs9G3Um0PvUVkpzu9043U4KXcUUOIsAN6E+QRXeXFcWh8PB9S17szZx\nG8vi11cqCI4JiQQgPTezzDIHUw4REx5Tbj3rt6wHoE3LC0+hxcfLyMjA4XAQHKxB8JlwuVwsX/4r\nM2ZM5f77H6R9+44nldEAWClV22kQrFQ53G43ixf/zAcfvEtWViZdulzCY489RUTEsUUdsrKzGDvx\nPZau+ZXQ4BD+9uDfuLTTJWTkZDL283Es37KaIP9AnrjlL1zapgtfr/2eaStnUexy0rNlVx7oeRvB\n/kH8uGclM7Z+T3JuGl4enlzd9FKub9mbJqHlf5Vc4CzkUJ41+8OhvFQS81I5nJ9BakEGKQWZ5DsL\njyvv6fAgwjeEaL8wBjTqTueoVqfUJ+1iWhLo7c/yhI3c12FIhcGOv7cfHg4HOYWlL1WcmZtFRk4m\nrRq1KLMOp8vJus3riQyPpHH9xqfU3pIyMtIJDg7B01MX5zkdf/yxmy++mM6XX84gMDCIYcNup0GD\nRjXdLKWUOi0aBCtVhuTkZN5//x1WrlyGr68vDz/8CAMHXn9c0Ldh60bGjH+Lw2mHuahlG1579gU8\n8Wfdzo289eUHpGal0e6CNjxxy8NkFeXx+Bcvsyt5L+EBofy1z510bdqexft/Y+rmeRzKScHbw4sb\nWvZhSKs+J83LW+xykpB7mL3Zh9ibfYj92UkczD3M4YLSZ4MI9PIjxi+cYJ8AfD2sZZMBUvIzSCnI\nYEv6Hrak7+H6Jj255YLelR4d9vbwomNMK36NX09SbiqxgZHllrdu3nNQVqj8+x9bAWgW17TMOlZv\nWENmdiYDel972iOMbreblJQUYmLKH3FWpZsyZQqPPfYYN954M59+OoW2bdvraK9S6pymQbBSJ3A6\nncybN5vPPptAXl4uHTp0YtSoJ46b/aGouIjJ30zh6++/weFwMOLG27l14FAiwgIZM208M5fOxdPD\nk7uvGc7gywbyv3XzmbpqFk6Xk6su7MF9l9/KwdwU/rboHbam/IGXhycDm/fkltZXE+lvrYzmcrvY\nmXmAzWl/sC19L5K5305pOCbcJ5iLwi4gLiCSegGRxPqHE+sfQZRfGH4V3CS3N/sQb2/6nFl7l7Ar\nM56/tLmJEJ/ASvVRs7CG/Bq/nj0ZCRUGwYcyknG5XdQPK/2GthVb1wDQrfXFZdYxa8EsAAb2Hlip\n9pUmOzuL3NwcYmP1Jq3TMWTIEHr3vhYfn7Nz86VSSlU3DYKVKmHnTmHs2LcR2UZQUBCPPvok/foN\nOG7Ea1/8Pt4cN4Zd+3YRFxPH6AeepHXzVuxLPMCT495H9u+mQVQco28dRUBAAM/OfINth3YRERjG\nI33vokW9pozfOJOf9q4C4LIGHbi7/Q3UC4zE5XaxKXUXq5O3subwNtILs4+et2FgNC1CGtI0KI4m\nQfVoFBRDgNfpTxfWJKgeL3V5gA+3zmRdivD+lm94puPISh3b1E7R2JtxkEvqtyu37L7UeAAahJ18\nQ1thUSGrtv5GRHA4LRs0K/X47bu3s2HrRjq26cAFjZpWqn2lSUiw2lGv3unfWHe+2717J3PmzOKv\nf33suBs+AQICAsjJOf05mpVSqrbRIFgprKmzJk78hO++m4Pb7aZXrz488MDDhIcfy/11uVzM/nEO\nn375GUXFRfTreTUP3HY//n7+zFn+PZ98N4XC4iL6d+nD/QPv4Kfty/lk9pcUFBdyRctu/OnK21h5\naDNj5r9MVmEuF4Q24N4ON9IhxpBZmMPsvUtZmLCG5Px0AIK8/ekV14lOkYZWoY0rPUp7KoK8/Xmi\n3TCeX/sxv6ftIrUgkwjfim8aC7bbklecX2HZ1Xs2AtC2gTlp388blpKVl83NV1x/UtAFVgrDh1P/\nC8Btg4ZVeK7ybNu2BYDmzVueUT3nm8zMDGbNmsmMGVPZs+cPbrppKLm5uQQFBdV005RS6qzSIFjV\naU6nk++/n8fEiR+TlZVJo0ZNeOihUXTs2Pm4ckkpSbzzybus37KB0OBQRt31V7p3vpS0rHRen/gu\na2Q9IQHBvPTA36gf0Zg3fhjH6j0bCfYL5LGr7qFZvSa8uvJTNh/ehb+XL/d3GMLA5j1JL8zm4+1z\nWHxwPcVuJ74e3vSK60SP2Pa0Dm2Mp0f5N3C53W7ynAVkFuXidLtwu924cRPuE0xQJWeS8HB4cHls\nB3ZmxrMyaTPXNip9ZbeSjrSr2OUqt1yxs5iVf6wnIjCMVvWOH+l1u938b+k8PD08GdS9f6nHL1+3\nAtkt9Ozak3atyx9xrsjmzZsAaNu2/RnVcz4ZM+Z1PvzwPa64ohePPPI4vXtfhbe3d003SymlqoUG\nwapOcrlcLFmyiMmTPyU+/gD+/gHcf/+fGTx4CF5ex34t3G43C5b+yLjp48nNy6Vbh648cvcowkPD\nWbXtN975+iMycjLp3LI9j930EElFSfxl2r/IyMuiU6M2jOp7F78e3MjbC16n0FXEpfXb86eON+Hw\n8OCzHd+x6OBanG4Xsf4R9G/YjZ6xHUqdBi27KI/43MMk5qeRnJ9Bcn46qYVZZBTmUOwu/SvqSN8Q\nmgTG0jasKe3Dm5V7E9MlMW34bMe3rE/ZWakg+MhKdWWt7nbEr7t+Iys/h0Ed+p50493iDb+yL+kA\nvTv2JCr05Lzi/IJ8Jsz4GA8PD0bcOLzCNpWnsLCQdet+IyoqWhduKGHgwMHcffd9RESUn9etlFLn\nIw2CVZ3icrlYsWIZ06ZNYteuHXh6ejJgwGBuv/2OkwKB1PRU/vPZWFZtWI2/nz+P3D2Kfj2vpqCo\nkA9mfcy8lT/g7eXNAwPvpF/XPny27GvmbfoJb08v7u85jC7N2/PmmslsTdlNiE8gj3a6nW712zJn\n36/M2fcrRa5iYv0juLHJFfSIbXd0dNXldhGfm8KurAR2Zx/kQE4yGUU5J11LsJc/9fwjCPUJJNjL\nH28PTxx2oJmUl8benETWpu5gbeoO2oc34+YmVxBYRg5xqE8Q0X5h7Mk+iNvtrvCu/yNzGNcLiiq7\nr90uPl89Fw+HB9d3uPq4fUXFRUz8YQZenl6MuGpoqcdPnTWNQ8mHuOnaITSKO7NpuFauXE52djbX\nXDOwzs1oEB9/gB07hF69+py0r3Xr059zWSmlznUaBKs6wel0smTJImbMmMLevXtwOBz07n0VI0bc\nddysD0csXrmY9yd/SHZONh0ubM+j9zxKbFQMuw/u4Y0Z/2F/cjxNYhvx1K2j8PDxYvRXr7In5QDN\nYhrxWJ972ZF9gEd/fJN8ZyE9GnbkwY43syVjL0+ufI+UgkzCfIK4tVlfLo9tj6eHJ8UuJ1vS97I+\nbReb0/ccN7dviHcAF4Y2pkFAFPX8I4j2CyPaNxRfz/K/tna53RzKS2XmvqVsTNvNvpwkRrW+kdAy\ncoubBsex+v/ZO+/wqKqtD7/Tksyk914JgUBoofcmRToqCKIiFiygqHDFXsCCil5Bwa4gKiiCdOld\nSiiBkJDee59JJpPp5/tjQjBOKF7E6/U77/Pw+HjW2fvscyaE36yz9m9VplJjqMPbyf2qcxc3ieBA\nF98rnnM8+ywFNSUMbdeXAPeW5207sZsKdSWT+o8lwMvesiw1K5Wfd20iwDeAGRNvLAsMsGfPLwAM\nH9562cU/Da22nm3btrB+/TqSk5O4++77WhXBIiIiIv+fEUWwyD8anU7Hnj2/sGnTRsrKSpBKpQwf\nPpKpU+8iLCzc7vw6bR0rvvmYI6eO4OjgyKN3P8LYoTZ3iC3HfuHLX77FbDEzvu9o7ht1F4cyT/LZ\n4bUYzEbGdBrCI6OnsWT/ao6XJOGsUDK/+7109Ivm0/QtnK/JQi6RMSFsABPDB6KUO1KhV3O0Ipmz\n1Rk0NglfTwcXunhG0cY1iCjXIDwd/rMNSlKJhCCVN4+2G8/O4lPsK0tkdfZuHms3AXkrtcbhLgGc\nqkylQFt+TRGcUZMHQKS7/RcIsDW3WHNiE1KJlDt7jmsRq66r4bt963FROjN1yCS7sXXaOt5a+TYI\n8OT9T+Dk+J87YICtwcOpUyeJje1IRETkDc31d8dqtfL444+wa9cv9O3bj/vue4ARI0bj5HRjz1BE\nRETkn4gogkX+keTn57Jr1w527/6FhoYGHBwcuPXWcUyZMp3AwKBWx5w8d5Llqz6iVlNLbHQs8x98\niiD/INRaDf/e8DGn0xNxU7ny1B2PERcVy/L9qzicmYCzo4r5Ix/Czc2NB39+ncqGWjr6tOHJHndz\nXp3FMwkrMFhMdPJsw/3txuKv9CKjroiDZedJrysEbNnenj7t6erZhjBnvz/1lb1UIuXW4F7UGOtJ\nrCRrDe8AACAASURBVMnieOVFBvrbbzILdbZlZAsbyunmY+/kcAmT1UxqdS7hboG4ObaeVd6Xdoyi\n2lJGdRxEiGdLS7Ivdqyh0dDI3EkP4e5s70Tx8befUlVbxb233UPn9je+ie3HH78DYNq0GTc8198d\nqVTKmDHjee21N/HxuXKpioiIiIiIKIJF/kHodDoOHtzL7t2/kJ6eBoCHhyf33DOVMWMm4OHh0fq4\nRh2frf2C3Ud2I5fLmXXHfdx262RkUhlJOSm8+8OH1NTX0i26M0/f8Rgao5anflhMsbqc9gFtWDDy\nIQ6XJPLdodVIJBLu6TiOYZG9+TRtEym1uTjLnZgVO5aB/l0o19fyecZ20prEb5RLIAP84ojzjETW\nSsc2k9VMpaGOKkMdFQYNdeZGGsx6dBYDJqsZR6kDSpkCldyJaJdAYl2DUUjt/1pLJBImhfbnojqf\nfWWJ9PXtYJcNDnOxNbMo0JZf9Tln1RRgtJjo6Num1XijUc+3JzbhIFMwvdeEFrGTqWc4nHSMmJBo\nRvWwfz2/79d9HDp5iHZR7Zgy9o6rruN6SEu7yKFDB4iKiqZnzz43PN/fhdLSEoxGI+HhEXaxsWPH\n//ULEhEREfkfRBTBIv/zZGdnsWPHFg4c2EtjYyNSqZSePXszYsSt9O7d96odri6kJ/PvLz+grLKM\nqNBIFsyeT0RIBBaLhe/2rmfdgQ0gkTBr9F3cNmA8e9N+5ZOD32G0mLit2ygmxY9k2Zm1nC1PxVvp\nzpuj5lCqVvP86U/Qmhrp5h3D7PYTUEgVbCg4wonKVAQE2roGMzakD6HOLWtlzVYLhY1VFOqqKGqs\npkyvRkBocY5cIsNZ7oiTXIXeaqTaqKXcoCG3oZzDlcl0dAuju2c0br9zmXBRKOntG8vh8iTO12bT\n3btlttfXyQOlzJE8bdlVn3diue0LRle/dq3Gfzqzg5oGNdN7jsfHxbP5uLaxgY82fY5cJmfebQ/b\n+QLnFeXx0TcrcVY688zDC65pD3ctLBYLK1Z8gCAIPPLI3P/5DXFarZYdO7by44/rOH8+kUWL3mxV\nBIuIiIiIXB+iCBb5n8RqtZKQcIKNG3/kwoXzAPj6+jFlynRGjBiNj8+VN2yBrVPZ6g3fsGn3ZiRI\nmDLmDu6ePAOFXEFNXS1vr1tGcl4qvh4+LJw2jzZBkXx4YDV7Lh7F2VHFwtGP4O3pxfwD/6aqsZZ4\n/1jm9biLfWWn+TnzCAqpjPvajmFEcE9SNQX8mH+IepMOPycPxof0JdY9rFmUWQWBAl0lqXWFZGpL\nMTVZnkmQEODkQaCTJz6Obvg5uuOhcMZBKrcTdPWmRpI0+VzQ5HFWnUNqfRF3hvTH+3eNLwb4xXGk\n/AKHy5OI92rbYh6pREq4SwDpmnz0FuMV2y6fq0hHKpHSyde+6USZppKNibvwdvbk9u63toh9tfM7\naupruWfEnUQEhLWI6Rp1vLVyCQajgX/NnU+g343bmG3fvoWsrEyGDx9Jp05dbni+/xbFxUW88cZr\n7N69k969+3D33feyZs06lMrr84EWEREREWkdUQSL/E9htVo5cGAv69Z9S1GRraQgPr4HEyfeRvfu\nvZDJrp09zC3MZenn75FbmEeQfxALHnqa9m3aA3A+O5l3fliOWquhX8dePHHbwzSaDSzcsITMijza\n+Ibz3K2PkqbJZ+GBZZisZmZ0GMPoNv358OJPpKrzCVb58HjHKfgrvfgp/zAnqlKRNdXlDvXv0pzh\nNFktXKwr4HRtNuomCzQ3uYrOroFEqPwIUnrh0EppQ2u4KpT092lPH+8YEtU5HKpMYWPxCaaHDcLl\nN7Zo3o5udPAIJ0WdR5Guyi4THe4aQJomn6KGCqLdQuyuU29sIL06j3beEbg4qOziXx79EZPFzKz+\nd+CkcGw+npiZxK5T+4gICOP2gS1LJARBYNnXH1JYWsTkUZPo173fdd3z1aiqqmTVqi9wcXHhgQce\nvuH5/ps4OzvTtWs3XnvtTXx9r/7lTkRERETk+hFFsMj/DGlpF/nkk49IT09FLpczYsRoJk+eQmRk\n1LUHY3s9/uP29azdsg6zxcytQ0bz0LQHcXJ0wmK18sOBjazd/xMSiZSHxt7LxH5jOF+Uyjs7P6VO\nr2V4+348PGQGay/uZFPmflRyJ57tez8+Lp68fOYLqgwaBgR3YlbUOOpMOpalbqRcX0ug0pu7IocR\npLL5EJutFs6qczhdm0WjxYhMIiXOLYyO7mEEO3nd0Gt7mURKD89ozFYLv1an8XPxCe4MHdBCTPfx\niSVFnUdCVaqdCA67tDlOW96qCE4sT8OKQI+AjvaxghSO55ylQ2BbBsf0bj6u0+tYtvETZFIZT93+\nKAp5y187+4/t58ipI8RGx3L/lFn/8b1fQhAEPv74Qxobdcybt6BF6+u/MwUF+QQEBNqV73h4eDJ7\n9mP/pVWJiIiI/HMRRbDI3x6tVssnn3zIvn27ARg0aCj33z8bf/+Aa4y8TGlFKe9+tpS07HS8Pbx4\nYtYT9OzcA4B6nZZ3f/yQMxnn8HX3ZuH0J2kf2pZtSfv5/Mg6pBIJjw25h6Ht+/BuwmpOlaYQ7OrH\nC30fosqkYdHZrzFaTUyNHMaDPcZwNDuVNTl70FuMDPTrxLiQPs2b0Mr1anaWnaXKWI+jVEEvr7Z0\n84hqka1tDasgoLXoMVrNyCUyFBIZjlJ5q1ZnAL29YqgzNXKhLp+95ecZE9i9OdbOPRR3hTNna7KY\nENqvxUa6kCYRXNRQ2eq8J0uSAege0LLJgsli5tPDa5Eg4eHB01sI+U+3raJSU830YbcTHdzyC0te\nUR4r1nyM0knJv2bPv65M/rXYv38Px44dIS6uMyNH3nrtAf9Fqqur2bx5Ixs2/EhOThY//bSVjh3j\n/tvLEhEREfl/gSiCRf7WJCWdY+nSt6isrCA6ui0PPzyXuLjrt82yWq1s27+dr9evwmA0MLj3YObc\n+yguKpv3bnZJLm9+/2/KasrpHtOVBVPnonRU8uH+1ey+eAR3pSsvjp2Lv4cvzx/+kKzaQrr6tePZ\nvvdzuiqNz9O3IJPIeCpuGj1823OwKInVmXuQSqTMiBxOvLetbtYqCCTUZHC8Oh0rAl3cIxjo0+GK\nDS8EQaDKpKWgsZpqUwNqsw6LYG1xjhQJoU5etHX2x0fh0kJ4SiQShvt3psKgIbW+iC4ekQQrbRlR\nmURKV69oDpWfJ11TSJznZe9cr6Ya4tY61OnNRhJKLhDg7E2UR8ss8eZzeyiqLWVsp6G08b3sv/xr\n8kn2nj1EdHAUdw65rcWY+gYtiz98A71Bz/OPPUuA7/V/qbkSJSXFrFjxAUqliqeeesZu893fhV9/\nPcKKFcs4efIEI0aMZN68pxk69BYUiqs3QBERERER+fMQRbDI3xKLxcI333zF+vVrkUgk3H33fUyb\ndvcfyhSWV1Xw/hfvcyE9GVdnV+bNeoIhfQY3x3efPsDKLV9iMpu4c8hkZtwylQaDjhd+XsrF0kza\n+Ibxwti5NFqNzN//PlWNtdwS0Zs58dPYWXSC77P34CJXsqDzdGLcw9hXepYdxQk2S7To0US62ESd\nyWpha+kpchvKcZE7Mcq/GxHO9l3SAMyChYyGcrJ1FWgtBsC2Qc5drsRTocJRqsAsWDALFmpMDeTr\nq8nXV+MhV9HHow2eist1ujKJlKF+cawrPMrhyhSmhQ5oFspdvdpwqPw8SercFiLYtWm8xqi1W9vZ\n8lRbdjskvoXgrtbWsu7UVtycXLinz+Tm4xptHSs3f4lCrmDBlLktyiAEQeD9L96ntKKUqWOnMKDn\ngOv+XK+E2WzmnXdep7GxkX/96/lWOwH+nZg8+Q4++2wVLi7/WTMUEREREZEbQxTBIn87GhoaWLJk\nEadPJxAQEMQzz7xAbGyH6x4vCAK7j+zh83VfoGvU0Te+D3PunYOXu82uy2wx8/n2b9h2YhcuSmde\nmDGfnu26UawuZ9HWZRSryxnYtifzhs+ioL6MV49+TL1Rx71x47ij3Qh2FB7n++w9eDm68VyXewh2\n9uVweRI7ihPwdnLjoegx+DrZPInNVgtbShLI01UQofJjTGB3lFdwXSgzaDilyUVrMSCTSIlQehOh\n9MHPwa1VD2FBEKgw1pOpK6dQX8OBmlRu8e6Am/yya0Cw0psoZ39yGsop06sJVNqeQajKFxe5kpz6\nkhZzyqUyJNg6vv2evXknABgQ2q3F8c+OrEVvMvDQwGm4ODk3r23Zz5+ibtDwwK13E+rXUpBu3beN\nk+cS6NqhC/fcdvcVP8s/wvfff0N6ehpDh97CsGEj/pQ5bwRBEMjLy221Zr1//4H/hRWJiIiIiPwW\nUQSL/K0oLy/jlVeeIz8/jx49evPssy/h7Nx6V7LWqKqpYtmqDzlz4QwqpYonZz3BiIEjmjOX1XU1\nvL12GSn5aYT7h/LSPf8i0MufpKI03tyxAq1Bxx3dx3Bv38mkVGaz+NhnGMxGnug+nRGRfdlecIzv\nsnfj5ejKi11nEqDyJqEqjc2Fx3BVqHi211SkOttfK4tgZWvpKfJ0FUQ5+zMhqFerYtZoNXO2Lp/c\nxiokQHvnQDq6BF3TGUIikeDv6Ia/oxtZugpOaXLZX20Twr+tMe7mEUVOQznnNbnNIlgikRCi8iGt\nrpAGsx7npvN1ZgMC4Pw7j+GyhmpOl16knVdEi1KIhNzz/Jp1hg6B0YzocDmbuzNhLydTT9MlKo5J\n/ce2mCunIIcvfvgSNxc3Fjw0/4b9gAHOn0/khx++w98/gDlz5t3wfDdCZmYGGzb8wIYN6/H09GTX\nroP/8x7FIiIiIv9ERBEs8rchNzebF174F7W1tUyYMJnZs+dcd/mDIAgcPHGQj7/9BK2uge5x8Txx\n3+P4el92P8goymLxmqXU1NcysFNf5t32CEpHJ45mnWbprs8QgHnDZzGiwwDOlqXy+rHPEQSBZ/rc\nR/+QbhwuPfcbAXwfASpvcrVlrM87hErmyMMx4/B39qRSVw/Asao0chrKCVf5Mj6w5xUF8N7qi2jM\njXjKVfTyiMJLcf2i/xLRKj/MVguJ9QUcqs1gtE9c8/XCVb54KJxJry9muF8XFE2iM6hJBJfqqol2\ns2VqL5VBuMhbiuBtWYcQEBjT5rLQ1Rp0fHzwW2RSGXOG3ou06Xp5ZQV8vuMbXJTOPD3lsRZ1ufUN\nWt5cuQSz2cz8B5/Cy+PGnRsqKyt4661FSCQSFi58EWfn/055wVdffc7336+hvLyMyZPv4Msvv6FT\npy6iABYRERH5myKKYJG/Bbm5OTz77Hzq6jQ88shcJk68/brHauo0fPjNCo6dOYaToxNP3DeXUYNG\ntRAfh87/ygcbPsZsMfPArXczecA4JBIJb6/9miOVR5EKcp4bPZu+7bo3C2AJEl7s/xDxAbGkqfP5\nIn0rznInnm/KAOstRtbm7kdA4L7oUQQqLws6tbGBM+psXOVKJgb1atXFwSJYOVKbgcbcSLTKj+5u\nEUhvQDC1dwmk3qInS1dBekMZHVyCAFvWN0LlxzlNLtXGOgKcbNngS2LY+puOdBkam/dyhOvlZhU1\njRp+yf4VH6UnA0Mul0J8euh7KrU1TO81gXBvm4jWG/W8tfbfGExGxsRN5I1XT+HoaObJJ3vj6+fF\nWyuXUFJewpQxd9CzS8//+F4vYTAYeP31V9Bo1Dz22BPExtpbt/1VSCQSXn55Ef37D/xTXC5ERERE\nRG4uoggW+a9TUJDPc8/ZBPC8eQsYPXrstQc1cfJcAsu+Xo66Tk3HmI48/cBTBPpddhmwWK18vfM7\nfj66DaWjkueb6n8FQeClNR+RqE7E1OBO+tqFvHPwIC9/7Mwbx74A4MX+D9HNvz0luiqWXliLgMC8\njlMJUvkAsLXwONWGOoYGdKWNa1CLdR2uSsEiWBnk06GFBdklBEHgpDqHCmM9IU6eNyyAL9HFNZSC\nxmrSGkpp5xzQnA32dXIHDVQYLovgS24TcsllwZaizgWg4282y61P34PRauLO2JEomtwsTuac40D6\ncdr6RXBnj8uf12fbVlNUWULvqD78+9UYKiv7AwJnznzD3Q9rOXfxHL269GTm7ffe8L0KgsCSJUvI\nyEhjxIjRjBs36YbnvBZabT1qtZqQkFC72KxZD97064uIiIiI/HncsAiOiYnxAL4AOgICMAvIBH4A\nwoE8YGpGRob6Rq8l8s+jpqaal15aiEaj5vHHn7puAWw2m1n102o27voZhVzBg3fez8SRE1vUl+qN\nBpb++CHHL54ixDeIF2csINQvGEEQ+OzwWhLViTRWBZG+9nmMaj9SlDm8efwLrFh5qd9suvm3x2Q1\n82HKenRmPY+0n0Scl22TU4muihNVqQQqvRkd1DKjWW9qJFNbir+jB+1cW3coKDbUkq+vxkfhQl+P\n6BsWwDk5RSxdmkhjoyMj5rggCZahNunwdrCVBlzaLNdg1jePqW0qfVDJbZ3ddGY9Z6vS8XJ0I1hl\nKyPJqi1gR/ZRApy9uSWiD2Bzg1i272vkUjnzbpmFXGb7NfJLwl52nd5PVGAE1uJLAhhAQn65Bz9s\n/wo/bz/mPzT/T7Eu++GH79i6dStt28YwZ86TN63soLGxkb17d7Np0wYOHtzPE088xbx582/KtURE\nRERE/jr+jEzwMmBHRkbGHTExMXLAGXgB2JORkfFOTEzMQuDZpj8iIs3o9XpeffUFKirKuffe+xkz\nZsK1BwEV1RUs+fht0rLTCQ4I5vnHniUyNLLFOdV1Nbz+7XtkFGXRJSqO52c8jYvSGYvVwooDa9h9\n8QhKsxtnV7+MWeeFo3cFbR75GYPFxILe9xLf1Azix5z95GvLGRoYz6DArs3z7yw5DcC4kN52pQ6Z\nWpvjQkf30FaFmVUQSKwrQIKEXu5RyFupFb6EwWqmxqJHbdWjsRiQISFY4Yq/3AVZ09x6vZ7Zs8+S\nlDTDNsbnNOOfVtNgMeCNTQTrmuzWnGU2wSsIApl1RbjInfBrygwfKDmL3mJkUvhAJBIJVsHKyrM/\nYhWszImfhlwqw2K18t6eL6jTa3l40F1EeNs2yV3MT+OTrV/hpnLlhRnzWf/dWUAPOKF0yyCq64c4\nKBx4+YkXcf0Tana3bv2Z1au/JCAggJdffh1HR8drD/qDlJeXs2jRS+zevZPOnbsyefLtLF36wf9M\nBzoRERERkatzQyI4JibGHRiYkZExEyAjI8MMaGJiYiYAlwxZVwMHEUWwyO9YseIDMjPTGTFiNNOm\nXZ9NVkZuJi+//wp12jqG9BnM3HvnoFKqWpxTWFHMi1+/QZWmmuHxg3l80mwUcjkWq5X393zJoYyT\ntPEN59lbZvPEsQ2cSWpPzLwfkbvqeajr7QwKtXVXy9QUsr3wGAFKL+6JHtU8f4mumhR1HpEuAbRz\ns38tnqktBSDGJcguBpDfWI3WYiBa5Yf771wYfkutpZEkfUVzxa4cKQasZBhrKDM30M3JH4lEQm5u\nPklJPZrHVRSGAWoaLMbmY/XmRuBy1re4sZo6k46unm2QSiToLUZ2Fp3AQSpnWJDt/n/J+ZXM2gIG\nhcbT1b8dAN+d3ERSURp9oroxrvMwACrVVbzx3ftYBYFnpz9JgJcfjzwynMTENRw5Fkpk94+Qykw8\n88gLRIVdX4vrq7Fnz05WrlyOp6cnK1euRNnkePFn4+bmRnx8d15+eTH+/v435RoiIiIiIv89bjQT\nHAlUxsTEfA10Ac4ATwL+GRkZ5U3nlAPivyAiLThy5CB79+6ibdt2zJ371HW9yj538TyLP3wdg8HA\no3c/wrhhY+3GZZfk8tLXb6JpqGPmqOlMGTQRiUSCIAisPLiGQxkn6RAYzasTnkTloGTduim8efRz\nEiq1TGo7lPHRtu9ugiCwNnsvAA+1n4CT/HKmMak2B4CBfp3srm8VBMr1arwdXJttx35PdmMFALHO\nga3GARqsRpL1ttbFUQoPvGRKnKUKjIKFNEM1tVY9tVY9XjIlAQG++PunUl5uE6peQXUAKH/TjS6z\nvgQJEgIvZX3LzgHQ3TsGgI25B6k21DE+rD8uChX5mhK+Or8JVwcV93e2NcA4nJHAj6e3E+jux7zh\n9yGRSNAb9Sxa8y5qrYbZY2fSpY2t5a9CoWDFyok8vXg++SX13D91Fv3i+17xfq+X/fv38MEH7+Lq\n6sYbbywlLCyMysr6/3g+QRA4fTqB2NgOuLi4togplUoeeODhG12yiIiIiMjflBstzJMD8cDKjIyM\neKCB32V8MzIyBPjN9nOR//dUV1exfPn7ODo68swzz+Pg0HrziN9y/OwJXv73K5jMJp59bCHjh4+z\nE6ApeWk898Ui6nT1zJ30EFMHT2oWwF8c/YFdKYdp4xvOK+PnoXKwZWC3Zh8iofIisd6RzOx0uRzj\nTFU6aZp84r1jiPWIaHkddR4yiZR27vZZYLWhAZNgwaep/fDvqTfrqTTW4+/g1sLL9xL5+aXcP3sb\nu3MLsCAQalYR5uCOi8wBiUSCo1ROpIOtEUeRySZ2PT29ePFFKdHRPxAYuIUBY1MA8FHYyg6qDHWU\nGzREOvvhLHeiQq/mfE0WwSofYt3DKGqoYEfRcXydPLgtYjB6s5F3Tq7GaDUxr8cMvJXu5FUVsWzf\n1ygVjrw87nFcnVywWq0s/fEjckrzGN1zOBP63dp8H1arlX9/tYz8kgJGDRrJ7aNbtkz+owiCwE8/\n/cC7776JUqnkjTfeabUJxfXOdeHCeRYtepkePTrx5JNzKCgouKH1iYiIiIj873GjmeAioCgjI+NU\n0///BDwHlMXExARkZGSUxcTEBAIVV5vE01OFXC5aCt0sfH1dr33SX8jy5e+g1dazcOFCunW7tqXV\n+dRklnz8Ngq5gndffJ3eXXvYnXMxL4NXVy/BYDby2gMLGN17aHNs7bHtbD63h0jfEFbc/xKezjaB\nmlNTzKrkrfioPHh7zOP4uXg0j9mZdBwJEh7rOQlft8vPr86go6SxmjjvcEIDvO3WkVpTBEC4p0+r\nzz2vvAqAzv4h+Hrax2fO3I5v/BA8A6pZ/4EvTjUH+OabaS3OcTE7ca64nHrBiI+PCxKJhLlzRzJn\njoBGr2NtdgIOUjkRAT5IJBJ2pSUC0C+0Hd5eLnx5agcCcFu7/nh4K3nl3GasgsDjPW4j2N+LF3av\npKCulDvihjOuSz/KNdUs2r4cg9nI29MWEN+uHYIgsHTtJxy/eIru7Trz8v3zkDe1RRYEgbc//jdH\nTx2lW8fOvPLUMygUit/f6nVja4f8Dhs3bsTPz49ly5bRtm3b5vgf+fneuHEjzz33HCaTiWnTprFt\n21Y6dbLP6Iu0zt/td4mIiIjIjXBDIrhJ5BbGxMTEZGRkZAC3AClNf2YCbzf9d9PV5qmt1d3IMkSu\ngq+v6w29Lv6zSU9P45dffqFNm7YMGjTymmsrrypn/qLnsVgtvPzYi0QFt7MbU1BexMLPX0Vv1LNw\n2pN0j+rRfM6pvCSW7/oGT5U7r4ybh1knoVJXj1Wwsvjgl1isFh7tOhVJo5zKRtuY4oZKLlbn09mr\nDSqDqsX10pt8dAMcvFtde6XRlp11NDm0Gs+oKUOCBDejstV4UamSO++spaZczsaVvvTq0XIeQRC4\nYKjEKgi0UXhSVaVtMf5obSYmq4WurmFUVWnJ0ZaRXF1AkJMXfhYPNqUc52J1AR3cwwmXBvDBiQ1k\nqYsZEtiNaEUYK49sZH/OaTr6tOGumLHkFpWzcMMSKuqqua/f7XT0jaWysp71hzaz/sBWIgLCeGbq\nk9TWNjavYfWGNWzYsZnI0AieffR51Go9tk1yf5za2hreffctEhNPExkZxWuvvYWHh1/zM/mjP98+\nPsEsX/4J3bp1bxa+v3+GIq3zd/tdIiIiInKj/BnuEI8D38XExDgA2dgs0mTAjzExMQ/QZJH2J1xH\n5B/Al19+AsDs2Y9d0ybLZDaxaPliNPUaHrvnUbp36m53Tm29mhe/foM6XT3zbnuEAZ36NMdKNRW8\ns/NT5FI5L46di4/L5V39+/MTSK3OpX9wV3oFxbWY83BTvezggG78nmKdLZMbovK1iwFUNdpEsJeD\nvQNCo8VItakBfwe3K7ZEHjxJisrVyi+rvLGYrLRpc1mgCYJAnklDjaURT6kTQfKW1yhsrKFQX4OP\nwoU2Sl90FgN7y88jAQIq4OesrZxwLcVRIqevPIpDxYnsKT5FqLMfM9veyvHiJL5N2Y6P0pNn+9wP\ngsCbO1aQX13MuM7DuD3eVu6w7+whVu36Hh93b16b+Rwuyssd7rbv38EP234g0C+Q1+cvviEniOPH\nj7Js2XtoNGp69erDwoUvoVKprjpGEATS0lK5cOE8U6dOt4vHxnb4j9cjIiIiIvLP4oZFcEZGxnmg\ntdZPt9zo3CL/LLKzs7hw4Tzx8T3o3LnrNc/fuPNncgvzGDlwJOOG2fsHWywW3vlhOdV1NcwcOY2R\nPS6XQFgFK8v3raLRpOepWx6gXUBUi9iG9H3IJTIe7DLZbt6kmmwUUhndfdrZxUoaqwEIUtmXQgAU\naauRS6R4tiKCSw0a21hHD7vYJWZMj6UQPcOnFuMpHOK5J0cDUGcxkGdSU2PR4yiR0c7Ru8Ur/Gqj\nluPqbKQC6M7lsuTMRozdA3AJ8yP7l+Mc+PU8kQ+PQCFRkff9QRY2bMdlSidkgpT++nAulGbwbsIq\nHGUKXuj3AK4Ozry98xOSitLoGxXPQwOnI5FIOJaSwAcbPsbZyZnXZj6Lj/vlLxZ7j+5jxZqVeLh5\nsOipV/F0/89cG+rqNHzxxSfs2bMThULB7NlzmDjxtit+abokfLds+ZktW35Gp9Nx221TEARBLHMQ\nEREREbkiYsc4kb+MbdtsVTETJlx7k1R5VTnrtv6Ah5sHD067v9VzVu9ZR1JOCn079GTK4Jbdwjaf\n28OF4nT6RHZlWPuWrgRny1Ipqi9nWHgvfFQthZrWpKNAW0asRwQOMvs61tLGGhylCjwd7GsjDCM3\njgAAIABJREFUTVYzZQ1qApw8mzu1/ZayJhEc6Oh+xfuO8vBDMNaCfz23PNGRAqmOxsY61FZbOYGH\n1IkOTj44NHV5s1gsnLl4jkwXHRIHOfs//IbipDTi7hlNQJgfhtxK2sp88X5iMjonK+G1SiLj+3Ey\noAILApr15/hYexL5uCgkChlT/YYQ7hLIx4e+5Vj2GeKC2/GvUbORSaWcz07m7XXLcFA4sOi+Z4kI\nCGte95FTR/ngq2W4OLvwxoLFBAe03iTkapjNZrZt28R3361Gq9USHd2WBQueJzw84opjBEFg/PhR\nFBcXMX78JJYtW0l8fI8/pRmHiIiIiMg/G1EEi/wlGI1GDh7ch5+fPz169Lrm+d/+/B0Go4HHZ87F\nRWWfVU0rzGTD4S0EeQfy1B2Ptcj4qXV1fHtiEx5KN+YOm2mXDdyZewyASW2H8nvSNQUIYOcIAWC0\nmKjQqwlV+bba4a24sQYrAoGt+NYKgkCZUYNSqmju3tYaEomEaEcv3GVOpBmqKDXbyiE8pU6EObjj\nIbVZtWVkpLNv3y4uFGTSc9YknJxcOPfTTtp6BtNv0a3UugkEOXkyafhoVkXsRldfTC+f9gzu0InX\nz63CYoBH29+GfN443r+4Fr3EjPlAAatzPuSHzj9hClHir/Ri/tBZOMgVZBRlsXjNuwC8dPe/aB8W\n07zmxJRzvPvpUhwdHXn96UV2jUuuhSAIHDt2hFWrvqCoqBBnZ2dmz36M8eMnN2+2u9rzWrHiM0JD\nw0ThKyIiIiLyhxBFsMhfQkrKBfR6PaNGjUUmu7oTSHlVBQdPHiIsKIwhfQbbxa1WK59tWwXAvNse\nxtmpZZ3oz4m7MJiN3N9/Ch6qllZlFquFpIoMAl18ifSwz1bm1Nm6vUW7hdjFCnWVWAUrES6t215n\nN5QBEOVsH9daDBisZsKcvK7rFb2vXIWrNAid1YRCIsNV5oBGo2Hj3i3s2rWDwsJ82gzoTv/HpiOR\nSvDXSFn0yHPsqUoivb4YP0d3xgb24JucPWTVFxPnEcFQ/y68cW41NYZ67mozghi3EJ49uwy9xMzs\nLrcT08mfz/auId1ahqA1UrI3kZkb78Q/PJgaTzNmrNwaOxi0JoqLi/D19aOgpIDXP3oDJPDyEy8R\nExVzzXu7hCAInDp1kjVrviIrKxOpVMq4cROZMeM+PDw8ms9JTb3Ili0/ExfXmXHj7LsKXi1TLCIi\nIiIiciVEESzyl3DmjM1Fr2fPa2eBN+3ehMViYcqY21vN7h1OOkZ6YRYDO/UlLjK2Raxer2X7hQN4\nOXswosNAu7GZtQU0mg0M8bOv9wXIqbeJ4EhX+0YWOfW2TnCRLvYxQRDI1pbhJFMQrLSvF640NrkZ\ntFJGcSWcpHIcJTJSU1PYvn0LR44cxGQyoXJ3ZfLCObi2C8VBImOAZ1s8AlRsLT1Fvq6SYKUXY/y7\n833OPjLri+ngHs7YoF68df4bKvVqpkYOo69vR549uIyqRjUz48Yzvu1gdlw4SLq1DB8XTx4ZeAfZ\nYemcOn+KTKEckGLNr2N74nq2s962QJkEqY8KQQKdwtqTlnQBQ30D7dt3wM3tyiUfAFlZGXz66QqS\nk5OQSCQMGTKMGTNmEhIShiAInDt3lu3bt7J9+xb0ej3jx08iOrrtVecUERERERH5I4giWOQvIT09\nFalUSseOna96nsVi4cDxg3i4eTC4t30WWBAENh7dilQq5b5Rd9nFT+UloTcZmNp9LA5y+5rebLXN\nxzfW2/6VvVWwklVXhK+TB24OznbxVE0BEiREugTYxYr1NdSbG+nmG9lqPXBdU9tiD/nV3Q0uodfr\nOXRoH1u3biY7OxOAkJBQRt1zJ9IYfwyCBQ+5igGebbEKFtYVHqXKWEeUsz9DfTvxdfZOChoqiPOI\nYHRgD95oEsCTwgcxOKArzx1cTllDNXfGjuKO9iM4mH6Cjw9+i7vSldcnLSDEM4COMXEcrjgHlVLu\nGnI7XYJiKSkpory8jKKSIk5mnsVoMUG9kaSEMyQlnGlef2hoOJ06daF//4F06dKtOftfU1PNqlVf\nsHfvLgRBoHfvfsyc+UCLxhe//nqEBQvmMW7cRFas+IyuXePFDW4iIiIiIn86oggWuekIgkBubjZB\nQcE4ObXeSvgSF9IvUKetY+zQMa3Wg6YWpJNdkkf/jr0J8PKzi5/KTQKgd1Tr7hMl9bZWxMGu9mNL\ndFU0mPV087Z/pa8xNpDfUE4b1yBcFPY1vSkaW8ex7n5twGR/Xb3VdlApu3p3PLVazebNG9i2bTNa\nbT1SqZT+/QcyfPJEGgNUlBvrkAlWOruGEOscSG5DBb+UncVgNdHVPZIu7mF8lrGNcn0tPbxjGOzX\niTfPf0O1oY47IoYwLLA7Lxz+iGJtBbfHDGdGhzGczDnH+3u+ROXgxOKJTxPiGYDRZGTxmncpqixh\n8oBxzBhpczmMi+uE3qDn2befw2gxMWPiXUwdO4Xy8lKKiorIysrg4sVkUlNT2LFjCzt2bMHd3YP+\n/Qfh4eHBpk0b0OkaiIiI4oEHHm61Prx//4EcP35WFL4iIiIiIjcVUQSL3HSqq6toaGigWzf7Tm+/\n5/jZEwD079G/1fju0wcAGNd3VKvx80Wp+Lp6EeYV1Gq8tMEmggNdfOxi6WqbkI1ppR3yBXUuAJ08\n7DPIBouJ9PpiXOVKotz9qW6l+YLBagZAIWm9Hjo9PY0tWzZy+PBBzGYT7u4eTJ9+D/1Gj6BI3kCe\nQQPGOgIc3enhFoGzzIFfq9JIqM1ELpEy0r8rbjInPkzbjNbcyGD/znT1iOL1c6tRG7VMj7qFoYHx\nvHD4IwrqShkfPZiZnSaQXJLBkp0fo5DJeXXCk0T5hmG1Wnlv/QpS8tMY1Lkf94+e0bxOi9XCO58u\nJSM3k1sG3MJdE23WaSEhYYSEhNGnTz/beRYLKSkXOHLkIIcPH2THji2ArZ47NDQcs9nC3XdP5cSJ\nRDw8Wm4kFMWviIiIiMhfgSiCRW46paW2OtugoGvbZiWlXcDRwZGOMfZNDQRBIDHrAm4qV+IiYu3i\nBrOROr2Wbr4driikKnW1KOWOuCjsyxKSarIAiPOMsoudqkpHioQuXm3sYil1BZgEC73dI1p1jQDw\nVKgoMaipMmkJkXk238+5c2dZv34tiYm2UoKQkFDGTbqNtv17kG+q5ZS5BCzg5+BGJ5dg/BzdqDbU\ns7UkgVJ9LR4KZ8YH9qRUV8XKrC1YBCuTwwYQ4OTB4nOraDDrubftaAb6d+GlwyvIURcxKrIfD3W5\njZyqAhZtXY4gCLwwbg6xgdEArNr1PUeTT9Axoj1P39Gyqcnna7/gROIJusR25vGZc674nGUyGZ07\nd0Umk3H06GHUajV1dXXU1NSQlZWFv78/jz46F0EQWh0vIiIiIiJysxFFsMhNp6TEVod7LRFcp60j\nvzifrh26oGilnrekupQqTTUD4vq0umFOrbN1a/NQXXlTVkVDDX4qe4cGs9VCcm0O/kpPAn7XCKNU\nV02RrpIO7uG4/U48C4JAojoXmURKJ/fwK143wNGdFG0JyfVFGIx6ko+cZOvPGyguKcZRpaT/raPo\nPXo4Um8Xqoz1nG8sRoKEEEdPYpwD8Hd0wyoInKrJ5NfqNCyClfauwQzz7cSh8iT2lJ7BUargvuhR\nCFYLb577BoPFxCPtJ9HDpz0vH1lJZm0Bw8J78Vj8VMrqKnll8wfoTQaeGf0w8WG2rnm7Tu9nw5Gt\nBPsE8tLd/2rxOWzfv4Mte7cSHhzGC3Ofb/Uz+i2HDu3nvfeWYLFY6NWrD71796NXr94cP/4r27dv\nYefO7Rw4sJexYycyZcr0ZkcIERERERGRvwJRBIvcdEpLba4KgYGtlyhcIjPXtgEsNto+ywuQU5oP\n0MKj9rfoTQYAlA6OrcY1hnp0Zj0BzvbuDanqPBotRgZ62dcSH6+8CEDPVjrI5esqUZsa6OgWikre\n+nUBfBSueOBErVlHgrkA4gMZHj8XwWpF0iToq7CCsQ4PuYpwpTeRSp/mGuJyvZp9FUmU6mtRyRy5\nxb8LIU5efJe7j1RNAV4OrsyKHk1JQyUfXvwJq2BlXtwUOntG8+rRj0mvyWNIWA+e6HEXOkMjr21Z\nhrqxjkcHz2BgW1vDx5S8NFZu/gJXpQuvznwW19/4M19IT+aT7z/F3dWdV5981c67WRAEsrIy0Wrr\n6dKlG2vWfM26dd+iVKp45ZXX6d79cu1vdHQMU6fexZ49v/DDD9+zceOP7N69g5kzH2DMmAmi36+I\niIiIyF+CKIJFbjrl5TYRHBBgby32W3IKbXW3V2q2UKWpAcDPw76eF2h2gzCaW9mZBuRpbOsIc7cX\n4ycqUgDo7duyDENvMXK6OgN3hTMdW2mgcV6TB0AX99bXLAgCSUnn2Lr1Z46fOIZnaCCRPTrTvkdX\n3P19cXRU4CRVoJI54Ofghp+jK47SyxlWncXAr1WpJGlsXwBiXIIY7t8ZjUHL+ynrqTFp8baqCCuS\n8XH2KrLd65EI4JtjYe3Jr3k/0ESDyoqX3gnLhUq+yP2SU/WZlDVW0z+sG13922Mymaht0PDmd+9j\nFQSeu+spgrwvO2BUVlfy1solADz/2LP4+9g2FVosFk6dOsnOnTvYuXM7er2exx57nP3797B37y4C\nA4N45ZU3WvXxdXR0ZNy4SYwcOYYdO7bw7berWLFiGadOJTB//sJrWqyJiIiIiIjcKKIIFrnplJWV\nIZVK8fZuXbxeIrdJBLcJs6/JBaiprwXA282+IxvQ3Ob4yiK4GIBwt5Zi3Gy1cLoqDXcHZ9p5hLWI\nnanOwGA1MTSgq531mc5sIFtbhp+jOwFOLV/lNzY2cvDgPjZv3kB+fp7tvtq0ZezYCQwdOhwnpyt3\njQMwWs0kqnM4XZOF3mrCTepEkNaB8uQUXtHvwdLGA4lMSlViNqmn0nGM9UfZNRir3kTDoWxqa3RI\n4/2RqJQIFToqz+VxUEhDEuKCxEuJoDFwZNtujmzbDYDcR4VFItDevw1ZWZmYG41EhUWiclLx+kdv\noq5T88iMh+nUvpPtWeblcuutwwgICGL06DF89tnXdOgQx/Ll77F37y7atWvPokVLrilmHRwcmDTp\nDgYNGsbSpW+RkHCcuXNn8/rr7xAWduXyEhERERERkRtFFMEiN52yslL8/AKu2SmutKIMuUyOn4+9\nfRnQvIlKJm19HrnM9uNstlpajadU5QDQzjuixfHzNVnUm3SMCumN9DdCVxAEfq1IQSaR0sfXvkQj\nV1eOgEB71+DmGuPU1FS++24dhw7tp7GxEZlMxuDBw5gwYTKxsR2v6XxgtJpJrMkmoSYTIxYEk5mC\nkxfIPpmIRC4jcFAn3GICEQxmnDO1DPaOo2hGG9KsZXjInXmyxxQCh/jwwZnvSShLprt/LP8aNxOr\nxcLPibv5MXEHgS4+TOg0GE0nNRXVFZwtTKHWUAd6M6nJyaQmJ196ADjIHDAaDURHRBMdEY3JbEIh\nVxAWFs6uXQebharJZOKdd17nyJFDxMS0Z/Hid3B1vf7GIF5eXixevIR1677l229X8corz7F8+Se4\nurpde7CIiIiIiMh/gCiCRW4qOp0OtbqWbt3sXRV+T0V1BT5ePlcUuYprlDtcGmdtRQRbBSsplVn4\nKD3xV3m1iB0tOw/AwIAuLY5n1ZdQrq8l3qstrq24SeRoywEIdfDi4MF9bNu2mZSUCwD4+flz++13\nMnLkGHx9fa94z7b1WkkuSCehKgO10oJEIcNsMFJwOpmC08n4unnRe+hgGiNdMMqshKv8uLfzSBx6\ny1mWvJ602jLCnP35V+e78HBw4d2Tq0koS6arXzue7/cgDjIFx7PPsj7xF7yc3XlryrP4uNiy6btO\n72df1nHaBEXy5v0vUl1bQ2FZIScSjrNjxzZS0zOJ6hZLVmE2C95eaHPuiO5Al/ad6dQuDrPZjEQi\nYcmSxRw7doS4uM68+uqbODvbNxu5FjKZjBkzZmKxWFi7dg1Llixm8eK3xRphEREREZGbgiiCRW4q\nl+3Rrr4pzmq1UquppWNMxyuec2nDW6OhsdW4pUn8tiaactRF1BkbGBbeMhurNTVypiqdYJUvkS6B\npKfn8+qr56msVNHp4UKkkdDPr/U1letqwWzl8Vmz0GptbZH79evH6NETiI/vcdXMd42mloTk0yRV\nZFHnDB5hAUjcpBi1euqSSwjFlTvjRhA1/lF+1aaRUJWGVAIjA7pzS1B3ag11vHXuGwobKujm3Za5\nHe5AIZXzbsJqfi0+R0efNrzQJIAzynNZuvtzHOQKXh43r1kApxZksHLzl7gonXn+rqdJuZDMpk0/\nsWfPbvT6RiQqOW27dODfiz+gWlNLcmYyF9KTOXsxkbMXEwFwcnDCxSinsqiUmPaxLFq0BKXy6qUe\n1+Luu+8jIyONM2dOcf58Ig719ZS8/w6ODQ00DBrC6BdfFb2ERURERERuGFEEi9xUCgttDShCQ8Ou\nep7eoAdApbxyW2EvN1sGt7quptV4TYMaAM9WLNJOFNsytL0C41ocP1mZglmwMDCgMxKJhAULznLy\n5L3IHE10CFiBrEFGhLN/8/kWi4UzZ06xY8dWTD0C8YoJReHowJRbpzNy5K1069aBysp6u+sLgkBO\nYQ4JyWe4UJmDwUWGb9twFL5BeAJoDYQJ7vQP60VQfCBWQSCxJpOvivagMTUQpPRmeuQwglTeXKjJ\n5qOLG6g36RgR3JOZbW/FKggsTVjNr0U2AfzKgEdwkjtSXlfFom3LMVlMvDB2LtF+tvKFKk0Nb3z3\nHlarhYXT5hHg5ccvF7cQEBDI+x98yIp1n6DT63hjweLmLyaDeg6wPWd1DRcykrmQkczhffuoLKsE\nhZSMukIeeXUO/eP70T++H7Ft2v9HWVypVMqMGfdx5swpNm/ewPCdO7grx1bKUnnhPIeDgxl0/+w/\nPK+IiIiIiMhvEUWwyE2lsNDmahAScn0i2Mnhym2VL22Iu6YIdm5FBJckoZDKiQ9oWdv7a5lNHPf3\n74zFYiE/37bBLSg+F4XShPaUB5LBEurqNOze/Qvbt2+hrMzmMtG3h62V8MJl79DF234zn9Vq5UJW\nCr9mniVXU4rc0xnP8CC8myzgZGaBaIUfvQM74Ot0ec0F2nI2FR4jv6EcuURKd5cowqwenE0+w6cN\nmWQKlUiAwAYluaeTeeV0MvmKWmolOtxREWHwZPvJ3SgUDmxK2YtaV8fDg+6iR1gnEhJOUt9Qz7bU\n/dTWq3lwzL3Et7WVgcya9SC6Rh3z31hAfUM9j8+cS+f2ne3uy8vDi8G9BlGWW0h9WQ0BgYFMmjaN\n9PxMTl04zaa9W9i0dwveHt5MGX07tw4ahUJxdU/h39O+fSxBQcEknT/H400CGMDXasWcnvaH5hIR\nEREREWkNUQSL3FQuOSO0ZpPVgut4ve2msm2SqtPZtyUGyK5oyjp7tnR/KKwrI7+ulN6BcSh/4+Vb\nZ2wgXZNPjHso3k0iNDJSTVkZ+LQrA0ClUbN06VscOXIQo9GIo6Mjo0ePZcyY8TgFe/Nz8Qn2Vl9g\nb/UFop0D8FQ7U15VTYmmggbBhIOLEklbDwKwiWsni5R2LiF08Awn0Mmz+bW+zqDjdFEKx2pSqZTo\nAGisqKUkOYPkxoNIHOUoY/xReDpjNZjQpZairteDVIIkzA2JgwKhwUhtfhVbhQKQAK6OWExm1KnF\nPLd+Ho8VVODu5UlYl7ZIAp0Z1m0Qk/qPaX4eFquFtz99l/ziAibcMp5bh4y+4mexe/cvrFr1BX5+\n/ix56338/W2WaiazifNpSRw9c4wjp47yybrP+GnXRubdO5fucfHX/IwvIZFICA0Np6SkmIToGNpn\nZQBQLpMhb3/lkhkREREREZHrRRTBIjeV/PxcXFxcr2mP5tCUKTRdYdMbgLOTrVRCd4Wa4NSybIDm\n9r+XOFpkq18dENpShJ2tzkAAuvu0bz72/vs9efnlz3DuXAk4kHHqZ1J1RoKCghk3biK33DK6hevB\nPeFDOKfO5aw6h6yGMmhoCrg6IGmwINEaCXH2oXNgW0JdfHGR2+plKzRV7Es/QmpRBum1BRg9HXEN\n8AYJNNbWUZWeh7vgSOfgdkh9XchR1GDGSpQygLvaDce7rwcak5b3znxLibaSXgEdmd3pdgSrlYq6\nKj4+/D2ZuZlc/HwfoW0jCG4TTnDvGORODmARQAInss6yaN17dI7oQOfIDuw9sIdT50/RPS6eh6Y9\neMXP4dy5syxf/h6urm688ca7zQIYbJsXe8R1p0dcd2bddi8/7dzI5v1beXn5a8y6fSZ3jLrtivP+\nHk9PW+bf+fmX+H71Vzg2NNA4aAgj77v/uucQERERERG5EqIIFrlpGAwGSkqK6dAh7pobmRwVtgyt\nwWi44jmXmmG0do7FauFiaSb+bj54Obf07D1WfB6FVG5XD5xSa3vN3s27LWazmdOnE9izZycazTE8\nPG7BapIyoNdARo8ag5urGw4ODi0EsNlsJuVCEvuP7CIxNQmpgxxXdze6duhK/4496RnXvbkMQGfQ\ncTYjiXM5ySTlXaS0rhL3YH88wgJwDAjCEVCapMQ5hdAzrgNhw0Io1lXybdYuLqrzUMocub/tKAYH\ndEMikXC6NIX3EtagNekY4deDOf1mIJPK0OobeH/flxSqS7ml5xA2zf8Klyanhm/3rmft/p/wdPWg\nS0wn0ouzScg4S0LGWQSNAWoNKJ1VxPXoSlZZLlEBEShkLX9FpKensWjRS0gkEl588TVCQkKv+Hm5\nu7rzwJRZDOo1kNdXvslXP60iwMefAd37X3HMb7lkidemW3eCx028rjEiIiIiIiLXiyiCRW4ahYX5\nWK1WIiJa76b2WxQKBQ4KB7QNrZc6AGgbbWlW19+17AVIK8uhwaBjcEyvFsfLG6rJ05TQI6ADKkXL\neuMCbTkKiZzNq7/n8KGD1NVpAIiIiCLE3Y8qhZHZTzzB/jlz6b9rO3qZnK3TZ9B34fP8cmQXu47s\n+T/27jMwiutq+Ph/+652V733uhKid9N777iDsUPc01zjuBLb2Lg7duy4JG64YYxN7wJMR4imAuq9\n9769zPthsUCRACWxkzd55vfFsPfOzmhGi4+uzj2H5otd7BJjDMwaP4Mlc+ZgNroAaOpo4fi5NE7m\nnSWrNBunREAf5I93XBAG/3iQSJAiYZBPLGMD+xOrC0EikdBsbefj/O0cqU1HAJK9opgbch0eMhXn\nqnLYXniY/ScO0J5Tg7Sonbdqv+eGI9OQ69U8u/UtypurmZgwiodn3NlVO3nDoS2sO/AdQT4BvHL3\nswRc7LrX0NbE1zu+YU/KLqQKGWYfKZ8f/I7PD36HQqYgPjSGpLB4kiIS0KPmhT8+g9Vq4fHHVzFo\nUM8W071JiIpn9YPP8ZvnHmDtpi8ZM/S6K5bBu5zT6a72ca360iKRSCQS/TPEIFj0sykpca+0Rkf3\n3gHu7+m0OjqMPSsr/Kjd1A6Ap0fPJgynSjMBGBHVfSPXqRp3O+RRoe5OZ6mpGaSnZ2J3NlKR2Iqj\nroPt2/bj7e3DokVLmT59NnFx8eytPs3emjPs2vUNd2/fjAdw1tODcxdS+fDxO3EJAlqNloVT5zNn\n4myiwtwb/xwuJ7tOH+DwhRNkleag0GnQBfgQO24YMr0G4eKCeJiHP8N8ExjqE0+7uYPi+goO5p0g\nq6OUBqEDQQIumwNzUxupxTWknksFmYSKvRnUH8tH5a/HKz4Y/ZRYgiJHcf+uFxAsDvcPHYERDIhK\noqCxjGjfcLYd38XaPesI8PLjpbtWdQXAAHkFuaTs24Neq+e1J19FrdVwoSyXnIoCcisLyKssJKci\nH+GwE+FCE1idDJ0+juC4CARB6HOpssiQCKaNncqeI3s5mZ7G2GFjrnmM3e5OjflHN9WJRCKRSNQX\nYhAs+tmUlrrbIEdFXXslGECtUmO29J7vC1DR4K45HOTbs6PcqdIMFDI5g8KTur2e0+QOxG2lzSx/\n5n7q6yuQy40gleCTPBEvnRePrX6FoUOHd1tx7O8Tw/7ac2SEOvnzfYvJKqmjQO1O2QjUenHr0tuY\nNGoiapUal+DiXFEWu9J/IKM2D6WnFo2fJ4mJ40B+qURYsMaPBF0oKjtUNFaxrXAX7zRXYpcJKL20\nKHQaJBIJLqcTpcmFv0SHd0AIaoWKUlMtFaZ6/EbFMW7JTIZFDsQlODHbrBTUFlNWV4EAoJBS2lHN\ne8e/RhAEpM1WXK0WPDQe3L7wtq4ycwBHTx3l5Q9eRaVS8dxDfyQy1J3aEDhoPFMGucuhWWwWMgou\n8ParL9NidaKM9iGjs5gH//Y0UQHhTB8yiXkjZ6BSKK/5fGeOm86eI3vJzD/fpyBYLnc/D4fDcc25\nIpFIJBL9o8QgWPSzKStzB8F9SYcAd9vjH38F3pvCKndAGx/afWW5rr2RsqYqRkQNRK1QIQgCZWWl\nnDqVSqrlLILMyQevvQmAyxVEff1cWlsnMca2Ca9gb0aMGNXjXBqbhLAGBSV6KzkLxyKx2Rl5Kg99\nk4nRd/8WlUbDkYbzZFTmUNZWAyo5yigPwqMGdr2Hj1JHtC4YrUtBfXMdGbnZHGzd5x6USFDpPfAI\n88cpB6fNgTO/GW2JhZrMIiZNnMyDv3+Y7YWH2JCbgtlhJcYrjHsm/Y4BAe6Nfy2mNt7e9ymldRV4\nqnU8MvNuBoQZqGitoaC+lO/3b6amtQ0UUkyBct48vpYPTq1nRMRAvDvlbN28EZVSxeqHnycpLqnH\nPXDfMPj2k89oqW9kwYLF3H3PrzhblMn+zCOczDvLxylfcSDzKK/84pmujYtXEhMeg1Qipbii+Krz\nup7BxZrRJpOpT/NFIpFIJPpHiEGw6GdTVlaKn58/Ol3PHN7eSCS9tzz+UV5lIQq5gqig8G6vnylz\n1/oNlvvw3ntvk5p6nIaGepCA/JcD0bRJmDh3IW++OQqjcRbu+mEgt+6g3txCo6UVf7UCNdC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mRvd851SUc144IHceTIIT799K/4+wfwxz++gFrtXh1ut3Ryoa6QSO8QPNVXbnZSWlfOybwzxIVE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\nMIuppeyAAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x109acbdd0>"
]
},
{
"latex": [
"$$0.167 x_{2} + 4.04 \\cdot 10^{-15} \\left(3.74 \\cdot 10^{28} x_{2}^{2} + 1.28 \\cdot 10^{30} x_{2} - 8.78 \\cdot 10^{31}\\right)^{0.5} - 11.3$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAApsAAAAgBAMAAACvLq7IAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEJmJdjLNVN0iZu+7\nq0QgoRR7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAJEElEQVRoBe1YfYhcVxX/vZmdnZk3u7OvJpRK\nlJlmbbGyqePOWrSmdJoJFZGQIYVSqLITP7ZFBEdR6kfLrppUo40ZIgiNwX00ItIiScBaxJJOW4oI\naqYlVRspHbT6hyLZ1aRJk7TjOefe+z7ma2dms9U/9rB73z33nt/v3vt795733gDrtqICIzM5iom9\neMhdMXQ9YGUFjuABCko331g5dD1iZQX2YsIhOb9ExbqtWgHrdaQqJGdj1UyrIYjVBk830884OLLN\n2wXsDmwztzgoFgeGhQDR4vPAx3RTbBkJl+R8lz+xUPBb4sS2LAycbqLV8bJdsmp6guwOPNeIG6nZ\nuXh9YGAQ8B5MYdefdAvLWQCsarwWjHmL63GS00s3sUY/oyeqsdfHqijrWHb7gYViIjl7KVHCcqhx\nUGcSR4EvE6pA/zSJFF9Bp/5/ZyxnwwxvDo7xO19TjeSbkb1Js7PY7RzYszVSzlTxRM+QlTuvV3L+\niyKtc5hoAGNVa5jZrDxUfxEsp5dudveHQXzZOjDpx8aH2WSbSrMOvuOTDFOzHldyRl1Cf0+e7Ilq\nso/ZvG3mOjXeKKf9fLEU2z+Zz6umjuUuadUw5ag4ksya3FYyIJLTSzeRAvD9/K+5y9AHkTy0IqQk\n9ZMLVY4T45wVMpkkcHDqOWBj8cZAn8ex8VMgOfcEusJVa/t0g1vueiGfzxlHh5glWLcXlJz4OvVs\no/fOw07UiWZ1mHeRXSIFkvmtFWq/B9fI9JMnaU1XNyJlu9ns+cL6kJBpmHKk5TDdu9GKtc+MRXJ6\n6WbRQTKLeZdaDH0AKUMrwmlE3buOU5iyaVPRV4kk1jpubSCLcV6AsgBHpDZbxc9NR9s1AvyRG4/S\nOuvGUVGBJUxpObdRT3TyWtxdRT5wbPx4MIjsIOIXaXXHEC2TZz3zCsn5SYzVIqRunVrC9nbjjjzJ\nNQ1TjnS9YwvRPgbchPt/S+aA5PTSDckych4TCxSp6QNIGVoR2llczXdYG7nKLJoTmZokMO4gdSzu\nIlmWZtOjJxU7nymhe5r7KvADht1APDCO8PhLAGYr8ijCovR0LiReCurfWcEFSrB1ylcSvdOBzY+u\nKP2V2vBfNC2HPss1DVOO6hohmt8B846OJDm9dEMPhvQJZMrUpemDSNDQivCv+Nth4MOaAeSqaryg\nmyiSLLWA8XPRGqwF3UwXw7GplLyYaPR4sm8FrmFYDng/jKN4zBKuehyLrpKT3zi7GsdDCuCfDes1\nYKKO9HmJ5/kcU8hX2wk8OXMip4YpR0UzLX3VnqlocJz2vU439ObGNu/KBUwfRLIUQhi7576nR6t4\nXoWBXVVtkXN0meRMX3bkQaGDDUeiah8fyfZ47zzzNG5WmHQBvsNN3hL24TEHX+OmSI3LLhaUE3LY\nM1mkz0o0z+fTM5Lda5Tnd/yoWAiwGDntqsipYNpRYcRt/Zvk1Kjku98omHRjq9v0Cc1Xo2ShaHQD\nDS2EqWZzyZosVvXw7KqIFjmpMbGMVy5qWSTGcMRmbqlietqh1LD9pVdn9AiBy3jziKvcMTrunsNN\n3hLuKL6EgwdOcZOaugK0lmE5R7PAYg6x/0gYz+cz8nVKN93K2XsS5QDcyLkRIqeCaUeFEXeSmGZz\nAZSuRspUiX0gq1zeUyEk705/HhzUOny7nGdyiDR3K0Ip2ziwAT8tPBiIMNX3vkZas/Hd8Bxu6LCE\ntDpY3NtuITnv+AYF+MtgOZcROQ5kKMM50eU43WXvo9nImQvKqR1LBuowFzOBsZrUPlSSC9FT4pK7\nopDtcurhJZyLdjkfAh6581KDO5U47XK+D7c6X0F06loO8s2+7nMnxLOW6JRop+sSYud8ZFstJCei\n9K6ayQUP+wLsN4HbaXtgtEai+h/NWs54SekgMM8pg4y4Ldqd5rBzk7HRutRSdKvIiD6MZDn9eXCI\nGp5rytrkpJRm13GUCfkJQNbGQTLzLfsg/kClde+3yR7k+/kz2JfkDoyUfSdD9Y5LaPsuCzBJrlUF\no/ErSpdZxL1HUaoM+yJAd56eUQVKUPqj+aa5ue/OzXHq2wAlp8CMkxC1+FZR7pyvMDpsiSyQrGJM\nDUT0YSRL4c9DQXl4fTiic3P3/mJujjhENL5gBz3eHcSEcL+0dODAWerZB3oLDRrdAnoLIkvUAON0\nXUJSzTlI4NeDu/Nh4GSFOW3SgYzmQ0922p2W/Oo8W4IT+GjWu/OBl1++dIqCBWYcgctdIqWOOsoN\nlrw7J5YxRreKNgrRh5E8tD8PBeTh/cPRujvjWTzMOeO0CuayAwcdVAsnsNjwo2j4JXoAudySqQcc\nCWF5WpbQtjslUBdBOZsOTrr85IqUpZfmQ2+gkWOI0R6LOzsxQsJ4H81aTop8kqMNTByBi5wfBa5X\nXqhkOVM1JPi1VujpEkCyFIZQ4dTw5nDQNAqqnSPZdgEfSVWB3+hmurRx4PMjS7iNerw3YRX8S/41\ng6uzWcBzpI/laVlCz9+0gnLSeg4Q7bewqSTph2f6LDZVEOfXncpJHKIhvI9mX87Lkq0YRv2XZRre\nXBIV/u2gzcZrgO1ivsADMT1ZACkiaULp08P7hyMoJ3Ekv5nfspDeDbugwrnk6Yc40ufHlpIu9ezh\nbt/+7uDH8kUxnwXE8fpYnpYl9Pdkz5TxKOJniWjD9hcBSj9bntrvIrqZnOQTwDu3b7zZpd5pM5Qn\n59bmaQ4XGNjRFvnzhdOwZnawyK1GWw/4y+bfy0BMjyBSDa0INdIMbw6HkVMmuR+j9Lm9gI9P3qjD\n6SI9IQ7r1G3FR6knmvWjuBZ7YboBzpU/rGjH9Hdags1T72ISLwXRpTdPNbrEec121lQ9OU3DINee\nt7gXkTkcRs5esd36HunW0Vd7z6+ivhgCQd5HM/4RaB28ql70BseZw5F2B8dqRDqXLg0Npt/ICqsA\nt0D9j+aWjkHdyUEBKt4/HMPhGXXnffc7w6ORWQ24ZVz/o7mlY1D37kEBKt4/HMPhGfVUszk8mN/z\n/w9tvDLMpK7Y4RhmcI3ZuwrsmkGt8jDUV+xwDDO4wti54bFriPzCGnKvJfXhtSQfnjs+1Gkffrwr\nhWz5NepK0a7z9KXAfwHwvbODjdYpGAAAAABJRU5ErkJggg==\n",
"prompt_number": 61,
"text": [
" 0.5 \n",
" \u239b 2 \u239e \n",
"0.167\u22c5x\u2082 + 4.04e-15\u22c5\u239d3.74e+28\u22c5x\u2082 + 1.28e+30\u22c5x\u2082 - 8.78e+31\u23a0 - 11.3"
]
}
],
"prompt_number": 61
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Messed up dataset"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Messed up dataset:\n",
"[[ 10.05 5.7 ]\n",
" [ 5.7 246.64]]\n",
"[[ 27.49 1.54]\n",
" [ 1.54 82.24]]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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IpJ+EjRy7+/8BB2zm+d+AIxPVroikn5EjX6Nfv+s46qhjGT9+Cg0aNIw6koiI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\nqFJlGvAjrVsP5uqr25d6DhE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N+pR33x0XdQwREZG/UXEsIqVuw4Y8br65Lz17dmfx4kVR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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10b8ea3d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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QRETkCFByLCJyELZsyePmm3/FqaceT0pKKtdc88NghyQiIkeAao5FRPbD7/dz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\n",
"text": [
"<matplotlib.figure.Figure at 0x104e2c490>"
]
},
{
"latex": [
"$$0.0256 x_{2} + 3.1 \\cdot 10^{-17} \\left(1.31 \\cdot 10^{32} x_{2}^{2} + 2.64 \\cdot 10^{33} x_{2} + 1.37 \\cdot 10^{34}\\right)^{0.5} + 3.27$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAApwAAAAgBAMAAABN8rWxAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\ngg==\n",
"prompt_number": 51,
"text": [
" 0.5 \n",
" \u239b 2 \u239e \n",
"0.0256\u22c5x\u2082 + 3.1e-17\u22c5\u239d1.31e+32\u22c5x\u2082 + 2.64e+33\u22c5x\u2082 + 1.37e+34\u23a0 + 3.27"
]
}
],
"prompt_number": 51
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# another random"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Random dataset:\n",
"[[ 91.96 -54.14]\n",
" [-54.14 68.56]]\n",
"[[ 92.61 -63.97]\n",
" [ -63.97 235.09]]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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RMjF4cCcyMr7lyy8/4vDD21G7dp2oI4mISDmhIjdJbNu2jZSUFGIxLdsoiaVp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\nawNXhL6LSOIqynSFo4EzgQwz+yD80wu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"text": [
"<matplotlib.figure.Figure at 0x10a924c10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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e4PDwCLp3P4c+ffrh5eXNxo0bWL58Kd9//zU7dmyjdu26REWV/6a/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\n",
"text": [
"<matplotlib.figure.Figure at 0x109ce5b90>"
]
},
{
"latex": [
"$$- 1.77 x_{2} + 2.85 \\cdot 10^{-15} \\left(- 4.87 \\cdot 10^{26} x_{2}^{2} + 1.81 \\cdot 10^{30} x_{2} + 1.43 \\cdot 10^{32}\\right)^{0.5} + 50.4$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAArAAAAAgBAMAAAAYk1bvAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n3HrUxVXgPyhW6J1+MbzmAAAAAElFTkSuQmCC\n",
"prompt_number": 27,
"text": [
" 0.5 \n",
" \u239b 2 \u239e \n",
"-1.77\u22c5x\u2082 + 2.85e-15\u22c5\u239d- 4.87e+26\u22c5x\u2082 + 1.81e+30\u22c5x\u2082 + 1.43e+32\u23a0 + 50.4"
]
}
],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Nice, but why samples are not completely classified ??"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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cR2X8+LKTSJJKZhEsqdurTJtK35//lCGbbUTve+6kMmN62ZEkSSVzOISkbqsy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\nJT9JTpIk1S+L4G7uzD+czl+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"text": [
"<matplotlib.figure.Figure at 0x1060b8410>"
]
}
],
"prompt_number": 31
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# That's why ! by plotting the distributions densities boundary is clear"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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5MU4Iccg4Nm8k8dorCA8eStXchUSyc6IdkhBCCAEcwiRYKXUm8ATgAJ7VWj9y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\noOgppFOnNpSV1Xwb31NJZWUl0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"text": [
"<matplotlib.figure.Figure at 0x105df31d0>"
]
}
],
"prompt_number": 30
}
],
"metadata": {}
}
]
}
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