{ "cells": [ { "metadata": {}, "cell_type": "markdown", "source": "# Vědecká knihovna SciPy" }, { "metadata": {}, "cell_type": "markdown", "source": [ "[SciPy](http://scipy.org/scipylib/index.html) je základní referenční knihovnou, obsahující nástroje pro vědecké výpočty. Najdeme v ní např. speciální funkce, interpolace, Fourierovu transformaci, numerické integrátory a mnohé další. Naším cílem bude ukázat některé z funkcí SciPy.\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tento notebook byl z (velké) části převzat a přeložen z J.R. Johansson: [Lectures on scientific computing with Python](http://github.com/jrjohansson/scientific-python-lectures) - díky." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Přehled SciPy\n", "\n", "SciPy staví na NumPy a poskytuje mnoho funkcí \"vyšší úrovně\" pro vědecké výpočty. Ve SciPy je asi dvacet modulů, každý z těchto modulů obsahuje mnoho funkcí a/nebo tříd pro danou oblast." ] }, { "cell_type": "code", "metadata": { "ExecuteTime": { "end_time": "2024-04-11T14:02:46.112404Z", "start_time": "2024-04-11T14:02:46.102079Z" } }, "source": [ "from IPython.display import IFrame\n", "IFrame('http://docs.scipy.org/doc/scipy/reference/index.html', 900, 450)" ], "outputs": [ { "data": { "text/plain": [ "" ], "text/html": [ "\n", " \n", " " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Import SciPy" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "# toto už známe\n", "# budeme potřebovat numpy a matplotlib\n", "%pylab inline --no-import-all" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# toto je typický import scipy\n", "import scipy as sp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Něco na zahřátí -- speciální funkce\n", "\n", "Speciální funkce jsou často řešením vědeckých úloh. Jejich implementace je v mnoha případech poměrně náročná. Proto existují knihovny jako je `scipy.special`: http://docs.scipy.org/doc/scipy/reference/special.html#module-scipy.special. \n", "\n", "Podíváme se např. na Besselovy funkce." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import scipy.special" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jednoduché vyčíslení funkcí s daným vstupem." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_0(0.000000) = 1.000000\n", "Y_0(1.000000) = 0.088257\n" ] } ], "source": [ "n = 0 # order\n", "x = 0.0\n", "\n", "# Bessel function of first kind\n", "print(\"J_%d(%f) = %f\" % (n, x, sp.special.jn(n, x)))\n", "\n", "x = 1.0\n", "# Bessel function of second kind\n", "print(\"Y_%d(%f) = %f\" % (n, x, sp.special.yn(n, x)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Funkce jsou samozřejmě vektorové, pomocí `matplotlib` si jednoduše nakreslíme graf." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10, 100)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(16,4))\n", "for i, (func, label) in enumerate(zip((sp.special.jn, sp.special.yn), (r\"$J_%d(x)$\", r\"$Y_%d(x)$\"))):\n", " for n in range(4):\n", " ax[i].plot(x, func(n, x), label=label % n)\n", " ax[i].legend(loc=\"best\")\n", " ax[i].set_xlabel(\"x\")\n", " ax[i].set_ylim(-1, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zkusíme najít kořeny Besselových funkcí" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found roots: [ 2.40482556 5.52007811 8.65372791 11.79153444]\n", "This should be (almost) zero: [-1.02392318e-16 -1.41172448e-17 1.30044207e-17 -1.43819206e-16]\n", "Check using np.allclose: True\n" ] } ], "source": [ "n = 0 # order\n", "m = 4 # number of roots to compute\n", "sol = sp.special.jn_zeros(n, m)\n", "print('Found roots:', sol)\n", "# zkouška\n", "print('This should be (almost) zero:', sp.special.jn(n, sol))\n", "# využijeme allclose\n", "print('Check using np.allclose:', np.allclose(sp.special.jn(n, sol), 0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Numerická integrace\n", "\n", "### Vyčíslení určitého integrálu\n", "Numerical evaluation of a function of the type\n", "Často potřebujeme numericky vyčíslit určitý integrál, tj.\n", "\n", "$\\displaystyle \\int_a^b f(x) {\\rm d}x$\n", "\n", "Numerické integraci se často říká kvadratura, anglicky *quadrature*. Podle toho se jmenují o funkce v modulu `scipy.integrate`, např. `quad`, `dblquad`, `tplquad` nebo obecné `nquad`." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "import scipy.integrate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zkusíme spočítat jednodychý integrál:\n", "\n", "$\\displaystyle \\int_0^1 x {\\rm d}x$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "výsledek = 0.5 ± 5.6e-15\n" ] } ], "source": [ "val, abserr = sp.integrate.quad(lambda x: x, 0, 1)\n", "print(\"výsledek = {:g} ± {:.2g}\".format(val, abserr))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Můžeme dokonce pracovat s nekonečnými mezemi." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "výsledek = 1.77245 ± 1.4e-08\n", "rozdíl od přesné hodnoty (√π) = 0\n" ] } ], "source": [ "val, abserr = sp.integrate.quad(lambda x: np.exp(-x ** 2), -np.Inf, np.Inf)\n", "print(\"výsledek = {:g} ± {:.2g}\".format(val, abserr))\n", "print(\"rozdíl od přesné hodnoty (√π) = {:g}\".format(val - np.sqrt(np.pi)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vícerozměrná integrace funguje podobně. Rozdíl je ovšem v tom, že vnitřní meze jsou obecně funkce vnějších proměnných. Tady k tomu využijeme anonymní (`lambda`) funkce." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.7853981633974476 1.3753098510218528e-08\n" ] } ], "source": [ "def integrand(x, y):\n", " return np.exp(-x**2 - y**2)\n", "\n", "x_lower = 0 \n", "x_upper = 10\n", "y_lower = 0\n", "y_upper = 10\n", "\n", "val, abserr = sp.integrate.dblquad(integrand, x_lower, x_upper, lambda x : y_lower, lambda x: y_upper)\n", "\n", "print(val, abserr)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "výsledek = 1 ± 6.4e-10\n" ] } ], "source": [ "# spočítáme obsah kruhu s daným poloměrem\n", "r = 1 / np.sqrt(np.pi)\n", "\n", "def integrand(x, y):\n", " return 1\n", "\n", "def y_upper(x):\n", " return np.sqrt(r**2 - x**2)\n", "\n", "def y_lower(x):\n", " return -np.sqrt(r**2 - x**2)\n", "\n", "val, abserr = sp.integrate.dblquad(integrand, -r, r, y_lower, y_upper)\n", "\n", "print(\"výsledek = {:g} ± {:.2g}\".format(val, abserr))\n", "assert np.allclose(val, np.pi * r**2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Obyčejné diferenciální rovnice (ODR)\n", "\n", "`scipy.integrate` (ano, řešení ODR je v tomto modulu, protože řešením ODR je určitý integrál) obsahuje `odeint`, které je jednodušší, a objektové rozhraní `ode`, které umožňuje větší kontrolu.\n", "\n", "My teď použijeme `odeint` pro řešení rovnic dvojitého kyvadla." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ODR (nebo jejich soustava) je často zadaná jako\n", "\n", "$y' = f(y, t)$\n", "\n", "s počátečními podmínkami\n", "\n", "$y(t=0) = y_0$\n", "\n", "`odeint` pak lze použít jednoduše:\n", "\n", " y_t = odeint(f, y_0, t)\n", "\n", "kde `t` je předem zadané pole, ve kterých požadujeme řešení." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Příklad 1: jednoduché kyvadlo\n", "\n", "Rovnice jednoduchého gravitačního kyvadla (pro malou amplitudu) je\n", "\n", "$\\displaystyle {\\ddot \\theta} + \\frac{g}{L}\\theta = 0$\n", "\n", "Řešení je jednoduché:\n", "\n", "$\\displaystyle {\\theta} = \\theta_0 \\cos\\left( \\sqrt{\\frac{g}{L}} t \\right) $\n", "\n", "Zkusme si tuto rovnici vyřešit numericky. Jelikož potřebujeme rovnice prvního řádu, definujeme vektor $x = \\left(\\theta , \\dot\\theta \\right)$, takže\n", "\n", "$\\displaystyle {\\dot x_1} = x_2$\n", "\n", "$\\displaystyle {\\dot x_2} = - \\frac{g}{L}\\theta $\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "import scipy.constants\n", "\n", "L = 0.5\n", "m = 0.1\n", "\n", "def dx_pendulum(x, t):\n", " \"\"\"\n", " The right-hand side of the pendulum ODE\n", " \"\"\"\n", " theta, dtheta = x[0], x[1]\n", " \n", " d_theta_dt = dtheta\n", " d_dtheta_dt = - sp.constants.g / L * theta\n", " \n", " return d_theta_dt, d_dtheta_dt" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# počáteční stav\n", "x0 = [np.pi / 8, 0]\n", "# časy pro řešení\n", "t = np.linspace(0, 10, 250)\n", "# a konečně řešení\n", "x = sp.integrate.odeint(dx_pendulum, x0, t)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# analytické řešení\n", "x_anal = x0[0] * np.cos(np.sqrt(sp.constants.g / L) * t)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'t')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(figsize=(12, 4))\n", "axes.plot(t, x[:, 0], 'r', label=r\"$\\theta$\")\n", "# axes.plot(t, x[:, 1], 'b', label=r\"$d\\theta / dt$\")\n", "axes.plot(t, x_anal, 'k--', label=u\"přesné řešení\")\n", "axes.legend(loc=\"best\")\n", "axes.set_xlabel(\"t\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podívejme se na frekvenční spektrum pomocí FFT." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "import scipy.fftpack as fftpack" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "F = fftpack.fft(x[:,0])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# takto získáme frekvence\n", "w = fftpack.fftfreq(F.shape[0], t[1] - t[0])\n", "w_mask = w >= 0" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Fourier spectrum amplitude')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,4))\n", "ax.plot(w[w_mask], np.abs(F[w_mask]), label=r\"$\\theta$\")\n", "ax.axvline(np.sqrt(sp.constants.g / L) / (2 * np.pi), color='r', label=\"analytické řešení\")\n", "ax.legend(loc=\"best\")\n", "ax.set_xlabel(\"f [Hz]\")\n", "ax.set_title(\"Fourier spectrum amplitude\")" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Fourier spectrum angle')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,4))\n", "ax.plot(w[w_mask], np.angle(F[w_mask]), label=r\"$\\theta$\")\n", "# ax.axvline(sqrt(g/L)/(2*pi), color='r', label=u\"analytické řeěení\")\n", "ax.legend(loc=\"best\")\n", "ax.set_xlabel(\"f [Hz]\")\n", "ax.set_title(\"Fourier spectrum angle\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Příklad 2: dvojité kyvadlo\n", "\n", "Popis dvojitého kyvadla najdeme např. na Wikipedii: http://en.wikipedia.org/wiki/Double_pendulum" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(url='http://upload.wikimedia.org/wikipedia/commons/c/c9/Double-compound-pendulum-dimensioned.svg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pohybové rovnice jso:\n", "\n", "${\\dot \\theta_1} = \\frac{6}{m\\ell^2} \\frac{ 2 p_{\\theta_1} - 3 \\cos(\\theta_1-\\theta_2) p_{\\theta_2}}{16 - 9 \\cos^2(\\theta_1-\\theta_2)}$\n", "\n", "${\\dot \\theta_2} = \\frac{6}{m\\ell^2} \\frac{ 8 p_{\\theta_2} - 3 \\cos(\\theta_1-\\theta_2) p_{\\theta_1}}{16 - 9 \\cos^2(\\theta_1-\\theta_2)}.$\n", "\n", "${\\dot p_{\\theta_1}} = -\\frac{1}{2} m \\ell^2 \\left [ {\\dot \\theta_1} {\\dot \\theta_2} \\sin (\\theta_1-\\theta_2) + 3 \\frac{g}{\\ell} \\sin \\theta_1 \\right ]$\n", "\n", "${\\dot p_{\\theta_2}} = -\\frac{1}{2} m \\ell^2 \\left [ -{\\dot \\theta_1} {\\dot \\theta_2} \\sin (\\theta_1-\\theta_2) + \\frac{g}{\\ell} \\sin \\theta_2 \\right]$\n", "\n", "Aby jsme si zjednodušili programování, použijeme notaci $x = [\\theta_1, \\theta_2, p_{\\theta_1}, p_{\\theta_2}]$, takže\n", "\n", "${\\dot x_1} = \\frac{6}{m\\ell^2} \\frac{ 2 x_3 - 3 \\cos(x_1-x_2) x_4}{16 - 9 \\cos^2(x_1-x_2)}$\n", "\n", "${\\dot x_2} = \\frac{6}{m\\ell^2} \\frac{ 8 x_4 - 3 \\cos(x_1-x_2) x_3}{16 - 9 \\cos^2(x_1-x_2)}$\n", "\n", "${\\dot x_3} = -\\frac{1}{2} m \\ell^2 \\left [ {\\dot x_1} {\\dot x_2} \\sin (x_1-x_2) + 3 \\frac{g}{\\ell} \\sin x_1 \\right ]$\n", "\n", "${\\dot x_4} = -\\frac{1}{2} m \\ell^2 \\left [ -{\\dot x_1} {\\dot x_2} \\sin (x_1-x_2) + \\frac{g}{\\ell} \\sin x_2 \\right]$" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "L = 0.5\n", "m = 0.1\n", "\n", "def dx(x, t):\n", " \"\"\"\n", " The right-hand side of the pendulum ODE\n", " \"\"\"\n", " x1, x2, x3, x4 = x[0], x[1], x[2], x[3]\n", " \n", " dx1 = 6.0/(m*L**2) * (2 * x3 - 3 * np.cos(x1-x2) * x4)/(16 - 9 * np.cos(x1-x2)**2)\n", " dx2 = 6.0/(m*L**2) * (8 * x4 - 3 * np.cos(x1-x2) * x3)/(16 - 9 * np.cos(x1-x2)**2)\n", " dx3 = -0.5 * m * L**2 * ( dx1 * dx2 * np.sin(x1-x2) + 3 * (sp.constants.g/L) * np.sin(x1))\n", " dx4 = -0.5 * m * L**2 * (-dx1 * dx2 * np.sin(x1-x2) + (sp.constants.g/L) * np.sin(x2))\n", " \n", " return [dx1, dx2, dx3, dx4]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# počáteční stav\n", "x0 = [np.pi/4, np.pi/2, 0, 0]" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# časy pro řešení\n", "t = np.linspace(0, 10, 250)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# a konečně řešení\n", "x = sp.integrate.odeint(dx, x0, t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nyní použijeme naší znalosti `matplotlib` a řešení si nakreslíme." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'y')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,2, figsize=(12,4))\n", "axes[0].plot(t, x[:, 0], 'r', label=r\"$\\theta_1$\")\n", "axes[0].plot(t, x[:, 1], 'b', label=r\"$\\theta_2$\")\n", "axes[0].legend(loc=\"best\")\n", "axes[0].set_xlabel(\"t\")\n", "# teď převedeme úhly na x, y souřadnice\n", "x1 = + L * np.sin(x[:, 0])\n", "y1 = - L * np.cos(x[:, 0])\n", "x2 = x1 + L * np.sin(x[:, 1])\n", "y2 = y1 - L * np.cos(x[:, 1])\n", "# a opět nakreslíme \n", "axes[1].plot(x1, y1, 'r', label=\"pendulum1\")\n", "axes[1].plot(x2, y2, 'b', label=\"pendulum2\")\n", "axes[1].set_ylim([-1, 0])\n", "axes[1].set_xlim([1, -1])\n", "axes[1].set_xlabel(\"x\")\n", "axes[1].set_ylabel(\"y\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fourierova transformace pomocí `fftpack`" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "import scipy.fftpack as fftpack" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "F = fftpack.fft(x[:,0])\n", "F = np.hstack((F[:,np.newaxis], fftpack.fft(x[:,1])[:,np.newaxis]))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "# takto získáme frekvence\n", "w = fftpack.fftfreq(F.shape[0], t[1] - t[0])\n", "w_mask = w >= 0" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Fourier spectrum amplitude')" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,4))\n", "ax.plot(w[w_mask], abs(F[w_mask,0]), label=r\"$\\theta_1$\")\n", "ax.plot(w[w_mask], abs(F[w_mask,1]), label=r\"$\\theta_2$\")\n", "ax.legend(loc=\"best\")\n", "ax.set_xlabel(\"f [Hz]\")\n", "ax.set_title(\"Fourier spectrum amplitude\")" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Fourier spectrum argument')" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sZrd1DvmxptEZpxBCCCHEMaCqqopbb72VqqoqqqqqWLlyJYsWLWLVqlVce+21XHTRRaxevTrn15VKsT0ViiOd4Coa3HP2vAlTl4LN1ePuiMWDLRrK8QCFEEIIIcbBISq6o6WtrY3KykoA4vE4q1ev5uabb6ayspKLL76YtrY2brrpJlauXJnT60ql2O4xbgfbVxzxQ/0mmH5an4fiZhc2LaFYCCGEEGK45syZw9q1awG44447uOCCC7pCMsCPfvQjvva1r+X8uhKKuyrFg1yBom496ARU9A3FCasbR1JCsRBCCCHEcF1++eW88847zJo1i82bN3P77bcDoLXme9/7Hueddx5LlizJ+XWlfWKoPcV73gRlhmnL+zyUtLhw6HAOByeEEEIIcWwpLCzsqhRnuvvuu1mzZg0dHR3s2rWL66+/PqfXlVCc2VM8GHvfhCmLup+XQVvduAmRTGpMJpXDQQohhBBCHNtuuOEGbrjhhlE7v7RPDKWnOBaC/Ruztk4Y53LjVFFCkWjuxieEEEIIIUadhOKh9BTXvQ2JKEz/UNaHlc0I2MHAIKvOQgghhBDisCChOBVkB9VTvPdNQMG0k7M+bHIY5wr7JRQLIYQQQhxJRhyKlVLTlFIvK6XeV0ptVUrdmIuBjRmTGazuwVWK97xh7MTiLMj6sNlhVJ3DQQnFQgghhDgyaa3HewjDMtJx56JSHAe+rbU+HlgBfE0pNS8H5x07ds+hQ3E8AnUb+m2dALCkQnE0NMjl3YQQQgghDiMOh4OWlpYjLhhrrWlpacHhcAz7HCNefUJr3QA0pH7tU0q9D0wFto303GPG7j10KK7fBPFw/5PsAIszFYqDHbkcnRBCCCHEmCgrK6Ouro7m5ubxHsqQORwOysrKhv38nC7JppSaDiwG1mV57DrgOoDy8vJcXnbkbJ5D9xTvecO4LT+l30PsqVAcDw1yzWMhhBBCiMOI1WrtsXvcsSRnE+2UUh7gT8A3tdZ9mmq11g9orZdprZeVlJTk6rK5MZhK8d43YeI8cBf3e4jNlQrFYWmfEEIIIYQ4kuQkFCulrBiB+Pda6z/n4pxjyu4deJ3iRBxq1w3YOgHg9OQDkAxLpVgIIYQQ4kiSi9UnFPAg8L7W+vaRD2kc2L0D72jX8C7EAjB94FDscBuhWA92y2ghhBBCCHFYyEWl+DTgs8BZSqmq1Nf5OTjv2DlUT/HedD/xqQOexu4y1inWkUCuRiaEEEIIIcZALlafeANQORjL+DlUT3HDu1BQAd5JA55GWexEsaBiEoqFEEIIIY4ksqMdGOsUJ6LGWsTZ+Jsgb8qgThXCgSkqoVgIIYQQ4kgioRjAnmfc9jfZLnAQ3BMGdaqwcmKKSygWQgghhDiSSCgGo6cYINpPC0WgGdyDW0YuYnJiiQdzNDAhhBBCCDEWJBSD0VMM2fuKkwkItgwtFCckFAshhBBCHEkkFIPRUwzZ2yeCrYAedCiOmV3YEqHcjU0IIYQQQow6CcWQ0VOcpVIcaDJuB9lTHDO7sCUlFAshhBBCHEkkFMPAPcWBZuPWPXFQp0pYXDiS0j4hhBBCCHEkkVAMA/cUBw4at4Nsn0ha3TgJ52hgQgghhBBiLEgohoF7irsqxYNrn9BWN04dRmudo8EJIYQQQojRJqEYutsnslaKm8FkAUfBIM/lxqUiRKKx3I1PCCGEEEKMKgnFACYzWN0Q7adS7JoApsF9q1Sq6hwM9rMRiBBCCCGEOOxIKE6zeyHS2fd+/+A37oDuUBzyd+RqZEIIIYQQYpRJKE6ze/rvKR5kPzGA2WFM2osEsgRsIYQQQghxWJJQnGb39t9T7BnccmwAZodRKY4ED7NQ3PwBvPvEeI9CCCGEEOKwJKE4zebpp6f44JDaJ6xOo1IcC2YJ2OPp7YfgmW+M9yiEEEIIIQ5LEorT7Hl9K8XRAMQCQ2qfsLlSoTg8RqE42Apv/j841BJwER8kIhCPjs24hBBCCCGOIBKK0+yevqF4iBt3ANidxpbRibEKxdufhRf/Ew7uHPi49CTCbNVwIYQQQohjnITitGw9xV0bdwwhFHuMSnEiPEbhM9Rm3Gbrh86UfvxQxwkhhBBCHIMkFKfZvX2rqEPczQ7A6TY2+UhmW8liNITajdtsy8llSr+2aGB0xyOEEEIIcQSSUJxm80AiCvFI933DqBQ73Ub7RNbl3UZDOLUe8mArxdI+IYQQQgjRh4TiNHuWMDuMUGyy2olp89iFz3CqUnyo66Vfl7RPCCGEEEL0IaE4LbUTXY82hMBBsHnB6hzSqYLKiSkWzOHgBtDVPiGVYiGEEEKI4ZJQnGY3Jsj1CI1D3M0uLawcmOJj1LsbHkRPsdYQTU+0k1AshBBCCNGbhOI0W7pSnFFx9TcNqXUiLaKcmONjVCkeTE9xLAg6afxaKsVCCCGEEH3kJBQrpR5SSjUppd7LxfnGRdae4qHtZpcWMTmxjlUoHkz7ROZj0lMshBBCCNFHrirFjwDn5uhc4yNrT/Hw2ieiZhfWxBiEYq0z2icGCsUZQX+ASrHWmrtf2sn9r+7O0QCFEEIIIY4MllycRGv9mlJqei7ONW569xQnkxAcXqU4bnHhiXXkcHD9iAUhGTd+PWAozgj6A/QU3/2PXdz+4geYTYoLFk5mWpErRwMVQgghhDi8jVlPsVLqOqXU20qpt5ubm8fqsoPXu6c41Gb04XomDvlUCbMLuw7lcHD9SLdOwMChOHroSvFj62u5/cUP+Ni8SSjgwTdqcjNGIYQQQogjwJiFYq31A1rrZVrrZSUlQ6++jrquUJwKjcPYzS4tYXXjGItQHB5kKD5ET/HqrY3c/PQWzpxbwr1XLuHixVN5fEMtLf5In2OFEEIIIY5GsvpEmslkBON0aBzGxh1p2urGqcM5HFw/0itPuEsGF4pdE/ps8/z2nla+8dgmFpYVcO+VS7CaTVx/xgzCsSSPvrV3lAYuhBBCCHF4kVCcye7tXs830GTcDiMUY3PjVhFi8XjuxpZNun0if9rgQrF3co/2iZ0HfHzxkQ1MLXDy8NUn4bIZLeazJnr52LxJ/OatPQQio/wahBBCCCEOA7laku0x4C1grlKqTil1TS7OO+Z6VIoPGrfDDMUAwcAoL3+Wbp/ILxtkKC7tMdHuvld3o4FHv7icIretx1OuP2Mm7cEYj2/Yl+NBCyGEEEIcfnISirXWl2utJ2utrVrrMq31g7k475ize3v2FCsTOAuHfBqVWski7B/lFSjS7RMF5ZCIQLyfHuCoH5TZCPgZleLWQJTpxe6sq0wsrShkeWURD75eTSyRHI3RCyGEEEIcNqR9IpO9V0+xqxhM5iGfxuwwJu2FAwNsvZwL6faJvKnGbX/LrUV8RuDPfH2ALxwnz9n/qnxfOWMm9R1hnqmqz9WIhRBCCCEOSxKKM9nzerZPuIe+HBt0h+JIcJRDcbjdGLMj3/h9pJ/rRfxGKLZ5jEqx1gB0hmJ47dZ+T3/m3BKOK/Vy/6u7SSZ1rkcvhBBCCHHYyMnmHUcNmydjot3wdrMDsDqN9olocLR7ijvAUdC98Uh/fcWRzu5KcTJutFlYHXSGYwNWipVSXH/GTL75RBX3vbqbEq+djmCM9lAUXzjOpUvLOKGsYBRemBBCCCHE2JJQnMnu7Q6W/iaYunRYp7G5jJAaD49yKA61gzN/EKE41T5hy9i1z+rAF47jdfRfKQa48ITJ3P7iB/zshR1d95kUJDWEYwn+91IJxUIIIYQ48kkozmT3GK0GWqfaJ4a3yYjNmQdALNz/lso5EW5PVYqN6/W3Wx1Rf+q47l37Yo4igtEEeYcIxRaziT9+5RSaOiPkO63ku6x4bBZW3vkavrAs1yaEEEKIo4OE4kx2LyRjRltC1Dfs9gmH26jIJkNj0D5RNGNwleL8ad279kX9+FOBdqD2ibSJXgcTvY4e93kdFgnFQgghhDhqyES7TOn2grYa43aYlWKHx2gpSPa3GkSuhNrBmdlTPNBEO09GpdhPZzgGcMj2if54HVZ8qXMIIYQQQhzpJBRnSofL1mrj1jO81Sec7lQ7w2iH4q72icH0FOdl9BQH6AylKsWO4X1YIJViIYQQQhxNpH0iU7qS2jqySrHV5iCmzehYIEcDyyIehVjQCMU2N6Cyh+Jk0ugptnu7dtoj6sOnjCpvnnN4leI8h4VOCcVCCCGEOEpIKM7UVSlOh+Lh9RSjFCHlwDSaoTi9m52zAJTquXJGplgA0EY/cWb7hE63Twy3UiztE0IIIYQ4ekj7RCZbr/aJYVaKAUI4MMWCORhUP8Kp3ezSG3f0F4rT96U37wCI+jPaJ4bZU2y3EIknicZlC2ghhBBCHPkkFGfK7Cm2urrbDYYhYnJijo9ipTi9xbMjtU6w3Zt9ol26r9nuzeg97p5oN+xQnKow+yPSQiGEEEKII5+E4kzp9gJ/4/BbJ1LCJheW+GhWijPaJyAVirNM7MusFJutYLZD1NfVD+wZQfsEIC0UQgghhDgqSE9xpnQlFUbUOgEQMzuxJca4fSKcpVIczQjF0LVBiU/H8NotmE1qWJdPV4plBQohhBBCHA2kUpzJmtEu4R7ecmxpMbMLWzI0wgENINRm3PZonxigpzjdT2zzdPUUD3eSHXRXijulUiyEEEKIo4CE4kwmU/dkuxG2TyQsLuyjGYqztk8cYqJd13FGT/Fwl2MDqRQLIYQQ4ugiobi3dF/xCNsnEhYXDj2aobgdLE6w2I3f2/P6CcUZE+0gVSn24QvHhj3JDron6EkoFkIIIcTRQEJxb+nwOMJQrK1unDqcgwH1I9Te3U8MxrijPmOzjkzpFSkye4pTO9qNrH0iXSmW9gkhhBBCHPkkFPdmy02lWFvduFWYZCKRg0FlEe7obp2AHmsQ9xD1g8naXVG2uY2JdpGRtU94pH1CCCGEEEcRCcW92XPTU5xuwwgGs7Q05EK4vXuSHWSsQdzrehFfz1U1bN6uiXZ5I6gUW80mHFaTVIqFEEIIcVSQUNxbjtonVCoUh/1ZlknLhWztE9C3Uhzx9wzFdg86YvQUe0fQUwzprZ6lUiyEEEKII5+E4t7SAdIzsiXZzA4jFIcCoxSKe7dP2POM20NWio0l2ZJak+cc2TLVXodFQrEQQgghjgoSinuzeQAFzqIRncbsMIJoJDhaobi/9ole14t09qkUK53EQTQnleJcrFO852CAlXe8ylu7W0Z8LiGEEEKI4chJKFZKnauU2qGU2qWU+n4uzjlujjsfTr4ezCOrolpToTg6Gj3FyaSxe1229oneleKov3sSHnT92kN4REuyAeTlqFK8vbGTDw74uebRDby9p3XE5xNCCCGEGKoRh2KllBn4BXAeMA+4XCk1b6TnHTczz4LzfjLi01hdRviMhUahUhzpAHSv9olBTrRL/dqtQjlqnxh5pbg9aJzDY7dw9cMb2FTbNuJzCiGEEEIMRS4qxcuBXVrraq11FHgcuCgH5z2i2ZxGj2885D/EkcOQ3s1uUKtP+Pv2FGNUikfcPmHPzUS7jpARiv9w7QqKPTY+99B63tvfMeLzCiGEEGJ0ROIJttZ38PrOZg76I90PaG1kkYgfogF8vk7+uWM/z1XtHb/BDtLISoWGqcC+jN/XASf3PkgpdR1wHUB5eXkOLnt4s7uN1oZEtl3mRirUbtz20z5R1xbkpfeb+Pyp07NUio1Q7CY0oiXZIHcT7TpCMcwmxcwSN3+4dgWX3f8WVz24jj98aQXzpuSN+PxCCCGEGLp4IkmTL0JDR4j69jC1rUF2NPrY3tjJ7uYAiaRGkWS22s857l2c4djJ8dH3cEcPdp3DC5wK1DEJfeIOlFLj9noOJRehONur033u0PoB4AGAZcuW9Xn8aON0G2EuGR6NSnEqFGe2T5itYHFApJMn367jrpd2cuGCiRTHAn3XKQbcKjyizTvAmGgXiiWIJZJYzcP/0KEjFKPAaUUpxdQCJ49du4JPP/AWn31wHS9/58wR9z4LMVxNvjC/W1vLDWfNwjKCv+NCCHE46AzH2Lyvg1AsgUmBIok9fBB7oB5fewudHW0EfO1E/O3EQp3oiB8PITwqhIcQy1SIM8xJPFZwFyRxmJI4oq1Yo+0Qh6ZAMavjx7E9+THsVjOVT9jrAAAgAElEQVRTCxxMzbcztcBB6cRJh3UghtyE4jpgWsbvy4D6HJz3iOb0GKFY9143OBeytU+AEX4jPupCQQBa2lophl4T7dwAuAmPaJtn6N7q2R+OU+i2Dfs8HaEY+RkBvbzYxc8vO5ErfrWOtbtbWDm/dETjFGK4Vm3az10v7eSMORNYWjGyFWmEECLnkkljlalwh/EVaAJfI8nOBuIdDSQ7G+kMhmkJJWkKJGgJJUliYiJtlKlmpqqD2FX/n/jGbHbiFg/a7sXkyMPiKMJitYPZZhTjzFZjSdhpJ8P005hYUMGZwRiLQzHKi1yYTId3CO4tF6F4AzBbKVUJ7Ac+A1yRg/Me0ex2J3Ftgmgg9yfP1j4BqVDsp64tBEBba0v3/V3HGAE53xzBbjGPaBhdoTgy8lDcu2q9tKIQu8XE+ppWCcVi3GytNybKbqnrkFAshDikZFKzraGTmoMBTijLp7zIlbU6Gk8k2VrfyQcHfHSEYrQHY8ZtKIbVrJg3OY9FBUHmxd7HdWAjdOxDR3zEQj7iYT864sMc9WNL+DH1/XAeExDUbpp0AQnMWFSSORaNy6VxmJMkXBOJepfS7ikj6ikj6plKXuFECgsLsTjzjNxg82A1WxnqZ7WFbtuIMsF4GnEo1lrHlVJfB14AzMBDWuutIx7ZEU6ZTASVAzUaoThb+wR0VYr3p0JxR0db9/1pqapxsTU64mGkJ+qNdK3izlCMAlfPf0B2i5nF5QWslyXaxkxDR4jH1tVy5YoKJuU5+j1uV5Ofq369jj999VSmFjjHcIRjb1sqFG+WiZ9CiCwCkTh7W4Ksq2nhrd0trKtp7Zo8DlCa5+DkGUV8aJqdWeYGth8Isrk+wLsNQTpjCgsJiulkoqmDMluAJRYfU+L7mL91B2XK6MsNY6PeNJn2hB1f0kGAAoKU4tNOohYv2pGPyVmAxVWAdpcQdU4i4SrB7nTjsJmZO8nLidPy+xTCXGP6nToy5KJSjNb6eeD5XJzraBLGgTk2GqG4A5S5Z1sEgD0PHemksTMMgL+z/1BcaIkwUumJev1NtgtG41x41xv88OIFnDZrQr/naQ/FqCh297l/eWUx9/xjJ/5IHI89J39Vjwm3Pf8+pfkOvnBa5aCOD8cSPPhGDff8YxehWAKHzcxXz5zV7/Eb97bS2BlmR2PnUR2KQ9EEu5uN9idZDUWII5PWRhV1uL2s4ViCPS0BapoD1LQE2HswSH1HiMaOMI2dYXzhGHZiJDAxpdDLOfMnccrMYmYVO6jf+jqJnS8wZcc6Frz/ARaVZDFwORilXHvvwQIxIG8q4dLT2OU9gU16Dq/5SgknTFQUuaiY4KaiyMX8Yhel+Y4Rf+IrepKkMYrCJifm+Ci1Tzjyofc/cruXWMteEknjh0DQ19F1fxezhYiyU2DOXaW4v1C8vy1E9cEA79a1DxiKe/cUp51cWcRdGt7e08qZc0e27faxIpZI8sg/91Be5BpUKH7p/QPc+uw29rYEOWf+JNZWt1LbEhzwOXtTj7f4R/536HC2vbGTpIbjSr18cMBHMBrHZZMfmUIcCZJJzZ837ef21TuIJzXnLSjl/IWTWTa9CHNnHRz8ADrrU1/7wdcAQEzZaQor6nyafT5NOBzCoWI4iDKbKEstcQrNYfJVAI8lgMPpx6xT/weGFGy3w047JKIsjIdAmdBTFtNe+jXq3fOoKHbjsWhIxCAZMwpc7gngLgHPRHAVg9mKA5iV+vrUeH0Tj0HyE34URZQLS3zggDEs4fa+rRMAdi/JcPdmIeFAqs2iV0U5hJM8U3jEw/B2VYqzt080p9YtTG/OkU0yqensJxQvLi/AYlKsr5FQPFhb6zuJxJPsbPL3+2YDjOrJNx7bxLObG5hZ4ua31yzn9NklXHLvm12htz+1rcbjrYGjOxRvazD+LX36pGnc8tdtvN/QKX3FQoyjdB/uupoW1te0Eokn+cjciZw9t5jy0Puwaw3EguxU07n9PQerm/JZUFbElDw7Wze8zIQNb1NkeYfZ1PY4b8BahM9STCCmSUZDOIgy0xRloSkOThvK4sBkc2KxuzDbnOCYaEx0d+Qb/xfbPJBMQCIC8TDEo2CyQPkKqDwd5SykECgcl++aGAoJxaMoanZiSYZyf+JwR9+VJwDsXlRqXeQSr51YMEulGAjgyHEozl4pPpiqJPYIT6E2eOxyuOgXUDwTfzROUkOBq294c9ksLCzLZ33N0PqKX/2gmR2NnVz34ZlDet7RYOPe7t0A393XzofnlGQ9bk9LkGc3N3D1qdO5+YLju5bUqyh2H/L73RWKg0d3KN5a30mew8K5C0q55a/bZLKdGBV7DgaYWugc0bKWh7NkUnMwEKGhPUyzL0JS95wUltTGJhDhWIJQNEE4niQSSxJNJIjFothCLTgjTQQ7WtjRFCAQ02gUpfku5nKAiXvWkffiFlABkphIYGY2Me4DEi4bJus8VFMjWBpJKjM77Qu5LXAGG+OVNFJEky4kFrFit5g4fnIeH55dwofnTODEsgJZhvEYJKF4FMXMLjzR5tyfONRPpdjmwRL3A5oTywpIpCYJ9Q7Ffu3EzchDsecQleKWrkpxRnhqeBdq34LatVA8k45UFbm/NZOXVxbx0Bs1hGMJHNbB9U49saGW57c0MmeS95irMG/c28oEj52WQIR3atv6DcXra4yVSa5aUd7jP+PyIherqvYTiSf67VVLV5Jbj/L2ia31ncybkkdpnoMSr10m24mce2VHE1c/vIESr53LlpXxmZPKmVZ0+E5/ag9G+d3avVQfDNAaiNIWiNIajNIejGExKZxWM06b8WUzm2j2RzjQESGaSPY5l5sQFeoAZaqZiaqdEtVOCe2UqXYmqnYmqTYm0IFZZYRoBaTnZKfqTfG8SVTnnc2j4fk8cqASbfPwb8stXDy5FVvTFmjcAoXTYe75mGZ/jLmuIr4VSxCJJbFZTFjNSsKv6CKheBTFLS7s4dGoFLdDwbS+99u9mHWcaV4TZYVOdI2v6/5MndrOREY+LrvFjM1iGqBSbITiHpXijv3GbdAIZelZuv19zL+isphfvlrNptp2TplZPKhxpcfzH395j9XfPAOn7diYiKC15u09bZw2q5jtDT421bb3e+y6mlaK3TZmlvRsrakodqE11LWF+jwG0JFaNgh6/blqDYFmoyfuKBBPJNne0MmVJ1eglGLh1HyZbCdyKpZI8sNnt1Fe5GLOJA/3vbKbe1/ZzYdmTeDTJ01jxYxiJnh6z8TKjb0tARo6wiyYmt//JOZEDNr2gCMfv7WIh9+o4YHXqvFH40zJd1KUWnarcoKbApeNpNYEowl0uBNXqAFv5ACT84OUloSZaAlSoALkJTuw+/dh69yLJdzzEymNQrsmgLcU5ZmJypsM3smQvk1/OqqT3V+uYiyT5jNHKeYAXwjHMCuFu+s1fSbrS3NYzYMusohji4TiUZS0uHDq0egp7q99wtgwZFaB0T5hjgfRDgfK3B04w7EEvqSDCp2bsJ7nsNDZXyj2GaGpR09xR51xGzSWmuk8RCheOr0QpWBdTcuQQnGJ186+1hB3vvQBPzjv+EE970hX1xaiyRdhaUUhLpuZ57c0kkzqrIunr6tuZXllUZ8Z2RXFRpWqtiWYNRTvbTUmjioFLZmhePtz8NTn4WvrofjIb1upORggEk8yP7XN+IKp+byyo+mwn2zX7Ivwgz9v4d8vOJ7pE/qu6CLGzkCftgD8fu1edjcH+PXnlnH2vEk0dIR4ckMdT2yo5et/2ATAlHwHC8vyOaGsgMXTClgxo3homyFoDfWbINgK004iavFy7yu7+MXLu4glNCYFcyZ5OXmKhY+6q6mM7cbr24WrfSfWtl2opPHz2U8xcxKV/HDCQpatOJOyAjP49oL/gDFBzddo/Gzv2Ne9uVRvjnxwFkFBOUz7BBRWGhXcwgrwTka5JqDMI/u3JbufipE6fH+6HwWSVjdOPfI2hR607r99IlURrvQkKfHYiRIkaXWT+WPZF44TxIE92db3+cPgdVj7b58IpCrFme0TnalQHDAqxe2HCMV5DivzJucNqa/YH4lz0vRCvHYrv369hotOnMq8VLg5mqX7iZdWFOKwmHls/T6qDwaYNbFnuK1rC7K/PcSXTu+7OkV5kRGk9rZkXzUl3U88Z6K3Z6W4oQqScXj/GfjQt3LxcsZVepLd/KnG35uFU/NJag77yXY/e2E7a94/wMyJ7mPmzeDhaEejj8t++RbnzJ/ETz95Qp83n+3BKHes2cmHZk3go8cbn65Mzndy49mz+fpZs9i4t43Nde1srutgy/4OXth6AIAZE9x88UOVfHJJGU5/LezfCHlTCDqn8NweeOzt/TS2B/ly5UE+bttAUe1qI6hiVGJrzZXkRebw3YrTWF5ZTLzmDYqbNzBt2y7MqQ0g9iVL2KjL2KnPZZeeQj5+PppfzxnWvTjaHoa/Pdzzxaaqu+SXQfkpxqeY+WWQP81YScFZaARik1RmxeFPQvEo0lY3TiLoZAKVqx8IsaCxjEvv3eyAhM2DGSj3JCjJs9OuwsQsnl6hOIZfO7DlaAKg12Hpt32iOdVz2hGKkUhqzCaV0T5xsOsx6D8Ug9FX/Nj6WqJxowfsUHzhGB67hR+cfxwvbT/AD57ewp+/cqpx/aPYxr1tuFMLtdtSPXKbatv6hOINqQ1RTq7sW3mf4LHhspnZ088KFOl+4kXTCnhuS0P3Ay27jdv3n81JKN5c1048qVlSPj7ztbfWd2KzmLqq5QunGv/eDufJdlvqOnhqYx0Wk+JvWxr5/rnHDXttVjFEWnctkXnQH+GLj2wgEk/w5Nt1TPDY+e65x0H1K/D3H8CSz3Nn0+n4wjH+/cLj+/wZmU2K5ZVFLK/s/nvWEYrxyo4mHn39A9585kFm/v1lTmFz1+Mu4GJt5kOmYlymGPk72ohoC+ttS4jOv5baeCHNW1/mNPUBn7e/jLn+71APmO0wbTm64hLqC5ZS6ziOjqQdfziOIxyjMppgaUUhK2akflaEO+DAVuN53kngngiWI3PnMiGykVA8irTdg0lpwqEADneOKpXpj6aytE+0JRxMAMqccUo8duKEiJpdZO5N1hmOE8CJNUfrJxuhOHul+KDPqBRrbfxQL3LbutsnAoMPxSdXFvHwm3vYsr+DpRWHDkn+cByP3UqBy8Z/XDiPGx+v4ndr9/L5U6cP4ZUded7e28bi8kIsZiPMeR0WNu1r51PLevafr69pJc9hYW6pt885lFJUFLu7KsK91bYEmeCxU1boxB+Jd39E3LLLOGD/29DZYPQBDlNdW5ArfrUOi1nx1vc/Oi494VvrO5g7yds1CXFSnv2wnmynteaWv26lyGXj+jNm8uPn32dbQyfzp/R98wywZtsBvvlEFX//5umUFR6+E7tyQWtNKJbAaTUP6U1CMql5bEMtOxp9lBU6mVboYlqR8dX186qzHtbeBxsfhaLpRM7+H657QdESiPDkl0/hsfX7uP+VnaxseohF1Q8YS3f9/XtMTVzIFSd9l+NKB/H/QuAg+Q3vclHTK3wi9AeU7SAtloncHr6UlxJLKLX4Oa8symklQUp1M0pr/NNXsiowjz9UtbNto/Gpx2dO+hazzz8eszVptFToJExZAlYHCpiS+hqQIx8qTh3091CII42E4lFkSq0PHPR35C4Uh/rZ4hk4ELYyASh1xJjoteNXIULKReaVO0Mx/Dgwx4M9qhvD5bVbaepM7Y63/lcw4yMwYRZaa1oCESZ67TT5IrQFoxS5rMYi6dCjUmw1K1wDBJ+TphsVk/U1rYcMxYmkJhBNdC0X94kTp/DHjXX87IUdnDO/lNL8/rcvPpL5wjF2NHby9bNmA2AyKRZNK+CdvX3bZNZVt3LS9KJ+K+cVRS52NvmyPra3NUB5kbNrX/u2QIzSPBO0VkPlGVDzKux4Hk66ZlivI5nU3PTUu0QTSfyRJE9t3MfnTpk+rHMNl9aabfWdnDO/tOu+w32y3bObG3h7bxu3XbKQc+aX8pO/b+dvWxr7DcW/er0afyTOExv28e2Vc0d9fFpr3q3r4Nl36/E4LJx13EQWTMkfWn/sELUHo6zatJ/HN+xje6MPl81Mab6D0jwHpfkO5k7yctmyaV1/l/EdMCYATzye2tYQN/3xXdbXtOK2mQlEEz3O/fHJ7fxn0UuU1DwDOgFzz0fXV2H/7QV8MXEyngt+zAllBczzBPj8B1/juOp3qav4F8quuJuX7vkq1/qeIRK1Qfx+sPSaTHdwJ2x92giuDZu7W86UGTX3PFh6NcUzz+LilhBzG3x8eM6Ero2U0jzAVcBVZxgtP0mte/5dKF+R22+2EEcJCcWjyOQw+jPDgewBY1jCqVCcpX1if8jCfKDEFqXYY+cAIfwUMynjGF84TkA7UGiIBsDedzLVUHS1T0QD8PxNsOKrcO5tBKIJwrEkSys8RigORMETh6jfWNQ80L36RL7TOmAFp9hjZ9ZED+tqWvjKmQNP4vJH4l3jAiPM/Pjihay881V+/Pz73H354hG93sNV1b52khqWZbxpWFJeyN29tslu8oWpPhjgM8uzrF6SUlHs4h87mrJO0tvXGmJ5ZRHFqSDREohQauow/lyPu9DoX9z+3LBD8UNv1rC2upWffnIhj2/Yx69fr+HKkyvGtPWloSNMWzDWpw/9cJ1sF4om+MnftjNvch6XLZuG2aRYMaOI57c08O2Vc/r829rd7GddTSs2i4knNuzjxo/O7n9Jqra9xhvZYVYHGzvC/HlTHX9+Zz+7mvzYzCZiySR3rtnJBI+dj8wt4SPHTcRhNdHsi9DUGaHZH6E1EGVJeSEXnjiZid7Bv5ENxxJs3NvGExv28fetjUTjSU4sy+dbZ8+hIxTjQGeYho4Q66pb+fM7+7lzzXa+P+cAn+JFXNUvgE4Qsk/gnfA8prOIqz5xGR9fPgd/3Xt0VL9Dor4KW9NmJrdtJthq56X8C5n5ie8yfdY87lu9hfCrd/IN+7NYX7wAWj6LZesq5iaC3OX9V+7ZvZzrX2vgruZP8+T86Szffhf8/iB8+nfGz8Rtf4F3fmMsWYmCCbOh4hSYfKLxVXpCj2LIjBIPM7JMhu3t+MlH/3wKIXLl8PnJfhQyO4yPpyPBzkMcOQTpSnGW9ol9AaPaWmSJYDYp8k1hWnXP/1A6wzECOI3fRP05CMWpiXa+RuOO1hqgu3Vi9kQvb+5qoS0Yg47Ums0lx8OBLRCP0BGK9btGcaaTK4v4S1V9d29yP3qHYoDyYhdXnlzBb97aQ3twPgWuo68HbuPeNpQydgFMW1xeQFLD5n3tnJraZntDjVE5Xp6lnzitvNhFNJ6ksTPMlAJn1/2ReIL6jhDlRS6jFYbUsmyxVD9x8Qw47gJYe39qhZTsVcr+7Dzg439f2MHZx0/ksmXTyHNY+crv3+GFrY2cv3D47RhDtTW1vvf8XqF4LCfbReIJLCbToN4MPPBaNfvbQ9x+2Yldx5+3YDL/vuo9Pjjg79Mm89i6WiwmxS2fmM8P/ryFf2xvYmVGVRwwVit47f9gw68gEYWP/Dt8+KZBf7IUjiX43p8288y79ejUm7XbLlnIBSdMJhZP8uoHzfxjexMvbG3kqY11PZ6b77Titpl5dnMDP3puG6fNmsDFi6ZyzoJSrGZFayBKiz9KSyDKgc4wu5v97DrgZ1ezn9rWIFobq+JcftI0Pn1Sec83N1obGwi176V58wbUO48yYfd+WrSXNws/yR5VxqSDb/FR6yYuTr4Gq++GNRa8yRheAKsbShcQW/xv/CH2Ue58s4XQQ3v46HFBVm87wCVLvoHlnFvgpVthw6+h5HjUpx7hs+4Z/OX+f3LXSzuZXuxm0eW3wNYF8Jevwv2nG2OKdELRTDj7FjjxcqNnVwgxpiQUjyKLwwicOQ3F6Z7iLO0TNT6j2mON+wHwqDDViZ6hOD3RzhiYH/q2lQ6J12EhEE2Q6Kg3JvS1GaE4vfJEepJXWyAKllTrxOQTjVAcbOl3i+fellcW8ft1tbzf0MmCqf2HrXR/s8fe85z/sngqD75Rw/NbGrni5PIhvsrD38a9bcyd5O3xMeriaUbVeFNGKF5X04LLZu4T+DJVdK1AEewRiuvaQmhtVJKLPRmh2JfqJy6eZfRM/vNu2PkiLLx00OOPxpN868kqPHYLt11izNZfOb+U6cUufvlaNectKB2zSWPb6jtRij79nunJdptHcbJdU2eYX71eze/X1XLBwsn87FMnDnh8fXuI+17dxfkLSzl5RvcbnZXzJ/Eff3mPv73X0CMUh2MJ/vROHSvnT+JTS8u4c80HPLa+tjsUx8Kw/pfw+s8h4oNFV0A8Ai//yPgY//yfwyGWzWoPRvnSo2+zsbaN606fweXLy/ssD3fJkjIuWVJGPJFk8/4OTEpR4rUzwWPrWsZs5wEfq6r285eqen77xz8RWfUKJXSQpwLkEWSmCrKIIBYSWFUSM0lM9iSgwJmP2lMABwqN1Q9MFmM+Q3stRFO7fgJUnEbH/H/n4YMLeHR9A4mk5uYLr8azbKqx0dDul4xPwUoXGj+3imaAyYwV+BJw8akR7nppJ79fV8tJ043gryxmuOQBOPP74J0CVgeFwKNfXM5NT73LN86abUwYPvHT4CmBZ79lvJlc8jlj9QaZHCnEuJFQPIpsLuM/1Xgol6G4/0pxTUeSBCbMESMUuwnRGu9ZFe0MxQmqdKV45G0d6YpspK0eFxiLvSeTNKfWKJ6dDsXBKJCqCE0+Eap+B4GDtAdjXQFrIOmZ2OtqWgcMxf5w30oxGFW/mSVuVlXtP+pCcSKp2VTbzsWLe06TyXdZmVniZlNtd19xui97oC1lu9Yqbg30WBu6NrXyhFEpNvogWwNRCO4Gs81Ygil/mjEjfftzQwrF9/xjJ+/t7+T+q5ZS4jXObTYprjl9Bv+x6j027GnrMRt/NG2t76Cy2J2xAYBhUp6dCR47W0ahr3hfa5BfvrabJ9+uI55IMrc0j6c21nHx4qmclnpDk81P/76dpKbP8msTvQ5Oml7E37Y08s0zpxvhbtbZvLC1ibZgjCuWV2Axm7hs2TTueXkX+9tDTPVvM9aa7tgHs1fC2f8Nk+Yb1dX8afDG7eBrpOP8X9IctRhveKNBeP+vsPlxUGZaTvgSn3nRwd7WEPdcvoQLThi4wm8xm/pdYWR2iZvvVO7lpvo7UaF/EjG76HSUkbTngWMqZlcBypWP0+XEZLaAMhvLfmltFA9CbcZXuB3iUWN93MrTjduCcpg4D4pnkg/cBHzt7Pkkte7+cy9banwNYILHzq0XLeDrH5lFntPac13iohk9ji0rdPH4daf0PMHMs+DGdwe8hhBi7EgoHkVWp1GhiYX8uTtpaICe4vYwEZMLV8QHiTh2HeFgtFcoDsfQ1lTLRGTk40ovlh5p22+E4ngYfA0c9BvhtKLYjc1sMtYqjtUZFZuJqf/AgwfpCClmlBx6k4HJ+U7Ki1ysr2nhmg9lrK9b87oxueusfwe6d7Pz9ArFSikuWjSV21/8gPr2UI8K6BHjnd/CgffgvJ/2uHtHow9/JJ51EuLi8kL+sb0JrTUdoRjbG31ceIigMjnfgcWk+izLll67uLzYmH1vUqlQ3LbbWIQ/vezg3PPgvT8bFcbek4iy2FTbxi9e2c0lS6Zy7oKeH+NfuqSMO178gAdeqx6zULytoZNF0/q+6VRKcUJZbifbaa257W/beeiNGpSCS5eWcf0ZM5mU5+DcO1/j5qe38Pdvfjjr7lvPb2ngL1X1fP0js7JuDXz+glL++6/baHnhJxRv+Dmc+g3+UHMB5UUuTk292UmH4lVvbeNr2z8PKPjcMzDjjMwXDmf/F+RPRT//HZp/sZJbAxdzpXcTH4m/iS0RgIIK4rEwxbs+zf/TlZjP+iZz52ffYrxLLAzbVkHV7yGZAHcJeCYZuyJaHLDpd9D8PiqvDM65DfuSz1EywnavgYxklZOJeUfnBF4hjjWy4fcocriN4JoI53KiXYexc12vdY+TSU19u7EuMRFfVxW4KWojmezeO94Xjnf3EUdHHorTFdlkZ8aatW01tKTWKC722ChwWWkPxIwJO94p3VsBB1q6JtoNxvLKItbXtPZ4Pay91/ioN5kEwJfqKc5z9H2/d9Eio5L6zLv1Q3qNh4VkEl79Kay7H+o29nhoY6oSvCzLR/pLygtpDUSpbQ2yYc+h+4nBqN6VFTq7KsNpta0hXDYzJR47ZpOiwGUzdrVrqTZ6IdOOu9D4+1fz+iFfVjyR5Ad/3sJEr53//sT8Po87bWY+u6KCNe8fYFdTDt9c9qMjGKOuLdTvZi8Lpuazq8lPMJp9be4eGt8zJk9F+v/3f8eanTzwWjUXL57Kq9/5CLddcgIVxW4cVjM/unghe1qC3Ptyqj2l5jVjlQ+Mava3n3yXJeUFfOOjs7Ke+9wFk5lMC3kb7wF7Pvzzbhx7X+by5eVdEyinFbn48OwSZm74b3RnPXzq4Z6BONNJX+K9D/2CqdEafmP7KR+OvMZfIku5Mv6ffL3kIU4J3sEPzV9hZoGJua/fCPcshZd+CFv+aHwv4qlVatr2wIv/BXfMg6e/bCxrhjLWv333cfjHD2H1zUYY/5dfwo1VcMpXRzz/QQghDkUqxaPI7jYqxclIbtYEBoyPArNUiZv9EaKJJEmbx5iwkfqPuCPpoD29RjDGkmwWhwci5KRS3NXD6ms0FnRPRKC1hoP+AgpcVqxmE0Vum1EpTuw3djpyGR8HJwPNdIZdFAwyFB8/OY8/bqyjIxQzllFKJmDvm8Z6m1EfOPL77SkGo2q9uLyAVZv2c/0ZR9hWxPvWde1MxZt3GDPWUzbuaaXEa6wd3Ft64t07tW1s3W9sSHFC2aEnwFUUu7u2dE6rbQ1QXuTq6u0tctto84WhdTfM/Ej3gZUfNnqLtz8Ls88e8DqPra9le6OP+9QBPp0AACAASURBVK5c0u8WrZ87pYL7X93Nr1+v5iefPOGQYx+JrQ1GFbi/pcwGNdku4oeXf2y8gdFJo+o5+2Mw/xKYcw7YjE9GHl9fy10v7eRTS8v430v77nr2odkT+JfFU7nv1V1cHfkdRRvvAiA6/Swe3b+CQsdi7v/s0n63Ei7Nd/DTgj+hw0n40hoOPPQZbtf3wdyrehz3r6WbObH2NXbPv4GZZcv6/d4kk5rvvTeNUudtPHCOB+e8Czn+YIL33t7Hqqp6itxuPv+F/8Re+D+w4zmjt/yN243vARjtDQXTjBUtlAmOOx9O+pKxlF/ma4+FIdQK3snSXyuEGFMSikeRK1Up1jkIn11C7Vn7ievajKqeyZFnBOLUNf3aSbMv0hWKfeE4xQ4vdJDTnmKTvxEmn2CsrdlaTUtgXteyXQUuK+3BKIT3wbTlxsQXZSLa2YzWFYNafQLoCs9dofjA1u6Jh6E2cOT321OcdvGiqfzXM1vZ0ejLunnFYeu9P4LFCcu+YGwW0PwBlMwBjErxsorCrBPR5kzy4raZ2VTbTtW+dhZPK8j6UXxvFcUu3qltQ2vddd69LUEqMyZMFblt4GswWmaKM95kWB0w62xjveILbgdT9g+k2gJR/m/1B5w6s7hP20SmYo+dS5eW8dTbdfzryjlDWqJrqP5/e/cd33Z5LX7882hLlrwdO7YTZ+9AAoGEFSDssmmhiwAdUFooLb1A4Qe3tL1dt7293S1tmb2MsqGFtkBpGWEEAmRv4izbife2bI3n98fzlSzZ8kjsxDY679dLL0Xrq8dRxtH5nuecjVbniTl9tLEacLPdlr/D8zeZsyKLPg9zLjD11RueMbW3Th/Mu4Q3S6/m9mcqOXlGAT+4ZH6fmwhvP3saSzd9m9z3/o1euJxooITWFX/kx9F/0eUvxbX683Dsl1JnUfe8w9LgK/wqfBFnR8dzS/B6HrXdiuvF62H5M+ZzadzNEWu+wxo1k1+3nssf+/m9eW5dFRurmrnmk+fgWFgCwLwSkz2//dw5AN0TJ2efby7hTtN3t2azudRuhfmXwtGfg6yS1G/k9IBzwDESQggx7CQoPoS83gwiWg1LmUJcsCll54m9DWZss8OXmZQpbsNDTUtnPABsDoYoyrb+w+8aegY7Fnw62qth3ELT/L6hnNqWLvL9pp40N8PF1qomaK+EzBLzn7E3l3BLNdD/NLtEWQlBMWCyxDEdjZBjgn6bos9hIOceMZ7vPreRZ1dXmNGro9SLG/bxr83VJjMaCZlm/jPPgZP+A1bdB2/+Ai78DdXNQfbUd3BlHwMu7DbFkROyWbGtlp11bVx/aupT7T1NzPXREgzT2G6+gESjmt317Zw8o7tONC/DRUblTnMjt0fmfdZ5pl60YpX5IpTCT1/aQmtnmDvPnztgZ4kvnjSFh9/Zza9e3s53Lxz4+WA2IJbXtrK+oplN+5rp6IoQ1ZqoNrW8dpviskUTOKLU+vsUClJXvpZx/oz4Zr+eCjPdTMsI4tnwZ/CWmoynzW6uN/0VNv3FbOC69L7un3vKKXD2j2DXm7D+CaKrH+Ho9x/lvzMv4JxLftz3pseuNvKf+xwX829+Hr6E4vG3sLayiT+3z+Hhk+o5tvYp0/pr01/hs09ARsKGvGgU/v5NIhmF/K7uAl56fA1rOwrZdfK3mb7yNnO24YSvw9PXorRm5YIf8vLbdX3W24ciUX764hZmFQW44MjeAWuf49cdbiiaZy5CCDHKSVB8CNnsNlrwMK3mJXj8c2aHvsMFNqfp/RnqsC5tZnd0/nSYsNhc8qamPnUYbOy1qxm6g2J3RjZUV8SzwK3aS3VLMP685o4Q7mIrwzWM5ROeYLU53RlstsonOplt1WXm+FzY2mshGjLlEwAZ+URazQCPQQfFvh5B8c4V3Q92mHrZ2KCKvoKmfL+bE6fl8+zqSm46c+Yhnah1sLTW/PiFLWyvbuWrp02npGaF+bIx/xMm8Fl4Obx3P5zy/3hvtwlG+pv0t3BiNr/5t+klPFA9cUxZntWWrb6dnAwX1S2ddIaj8c4UYL7s+Dqsko68HkHx9DPMpsrNz6UMijdWNvPwyt1ccdykQWXsJ+dncPniMv7v7V10haN87+J5Jphs2WfKE6wvis3BEL9/9UNW7qhnY1Uz7dYkMpfdhs9tx64USilsCto6w/x5ZTm3zNjPcv8qvNv/xjc7mzndewJ0LDJnNHpQe97hcW4mp7IO/pL8WEi5qF10C+PPvtn8PU9ks8Pkk9iVeRTXrV7MdY5H+XjwKdRdL5v+v/MvNQGk3W2uOxrg4cug8gOi5/6cN96byZq/bKArHOVLS2dw7MdmA5+DLf+Ax6+Ce86E5U9DTpl5v7WPQuX72C+6i+krClmzt4myPB9Tz7wW2lbBv74P1ZvNF8uLfsc5E4/jB2/9m8dW7eHrp8/o9XM/+u4edtW1c+9Vi0bl3xkhhBgOEhQfYq95T2Nq+xrCW98hx6Nw6ZAJiO0ucPnM6VSnz5po9Ay8/4B5oTfXTJE687+Sg+A+yyc6yMtw4fAErPIJExS34KPGGqQBJpPq97pME/ph2miXQQfOSDsEikxWc+8qajuD5FuZqxyfC1+wClx0B8W+fGgzo54PKlMcjZr/0EuOhor34kFxczDUa+RpTxctLObGR9fw3u6G+Ajp0WRleX18U9nKHXVcsvMJU0c+zarPPf56WHUvvP1bVoU+i9th67MGFoi3vHLYFEeV9f6zk0os+N1T3cCCD++iougyACbmdZdP5GW4yAztRXu8qECP7KE3GyadBOufhuKFUDDLZJMdLrTWfPuvG8jyOrkxRQDWl+9eOJdsn5Pf/Wsz46te4vrM13GUv2KytKXHsC1zMd/bUsyKthIWTszjskUTmFeSxbySTKYV+LuntgWbYdcbdG15kdDap8nY1UCL9rKx6HRernTyleCz8Pul8In7u1tyaQ0rfw8v3o5yFXFJ+7fZp3OxqSg2NPk+O1VdPqpW+Jhf/g6XL5nIBUeW4HXZ2VNvBju8uGEfq3Y14HfnM/3LD6Gi5WbD2Yt3mEtPDg988kFss87lBxNbOPeXKzh5RkHyGY6ZZ8MVz8LDl5rA+PInTSeQl79j/m4c8UnOaSpnzd4mPnXMRGx2G5z3M9i7CtY9BnMugiM/zQSlOGl6Pg+v3M0ZcwqT/jx1dEX4xcvbOGZSDqfOHDfoz0sIIcYaCYoPseO/eh/3rCjn/jd30toS5qy5hXx12fTUvXajUajbZjZV7V4Jm/8Kf7oIvvAiBIrY1xQkt60B7QzQ8+Tu3oZ2s9HKnZkUFEccGfGgOBLVtHSGzYYmt7/fXfGD5XHaKbVbdb3+IhPcdzZhCzaS7zfZw5wMF0XUm+dkWnWEGXnY69cB3RnggSQFxdUbTSA867ykoLg1GO6znjjmjDlFeJzreHZ1xagMih9auZtMj8l2v7e9gku2PwfzLulub5YzCeZ9HN67nw0ZJ3DkhJy+T19DvL3Y/NKsQY8nnmi1+HJt/Sts+SH2ORFgAWUJrb9yMlyUqn1EsifhSFU3vPByeOpqk8kEs9Eqdwo7s47l/fKz+M7FCwb92QOo1v38h+NxvpJ1P966Gmrq83EvvhEbUepW/43pe37BA0AoKw+ndw5ESqGxBHQJNBSYYQw7XjV/XnQEl8ODa8ZZVJedz52bSvj7ZvNn6KjTP8kJ798M954FZ3zHDFX469dg/ZMw82Oos37F8l1BCvweSnK8jM/y4HHaaQmGePqDCh58exfffHId33t+E+OzPGzdb77gzCwM8OWTp/KJo0utYRbzYflTpqyiepP5shzuNJdIlxnoUHIUANMLA7xy8ykUBNy9p9xNXAyffwH+7xK472Mw9RRT633Zn8Bm49KjS9lV185njrX6c3uyzEbNt38HZ30/fkbqa6dN54t/WsV5v1rBxQtLuOnMmRRne7nvzXJqWjr57WePOmwDVIQQYiRIUHyI5WS4uOmsmVx90hTueaOc+94o54UN+/nY/CJuPXs2ExNOR2OzQcFMcznqCtj7eXjgfHjw40SufI4bH1nPI9EOVtVCzz3iFY0dzCoKgDtgyjGsDWgefxbVVlCctAnN5R+2WucydzNEMZlitzkVXqb2k2/VZeb4nBQrUyqRmCl2BE2gfFCZ4lg98ezzTVbMGmoSK5/oj9/t4Iw5RTy/too7z5/b7yCLw62mpZN/rK/i8iVl7G3owPnh383nNK/HIIwTvgbrHmNR21N4T7+132Pmee2syLyDJv+pwAmDWofHaacw082EiucByKp8HZtakFRvmpvhYrLaRzBwJCmbZc3/BMz8mPmiV7MVajYT3reeydse4neZ+1i26PxBrQUwXxgfOB9qt+GdfiYbiz/OZ14J4HjPRWc4Qmd4CbctzWN5wYc4d75mOmKUv26CQ21KKFB2E2SeeKNpO1Z6LDg9jAN+txje2F7L8+uqOHLJbDj2NXjmOnjh/8Er/23KkU67E074Olk2Gxen+C4V8Di54rhJLF9Sxrs7G3ho5S5qWzu5bNEEzphTGC9J6aXseHMZQL+9tcfNNl+e/+9i0wZu/qXxspU8v5sfXjI/+fnjj4CLf5d016JJubx606n89pXt3PfmTp5fW8VVx0/ikXd2c9qscaPyC6QQQgwnCYoPkyyfk2+cMYMvnDiZe1aU88fXdvDPjdVceXwZ1y+bnjowLD0aPvUgPHQZ+++6iN3VnwMPvF0V4eiErgBaayoaOjh9dmE8KKVlHwD+QHY8U9xstSvL9MYyxcMTFE9wNpkWb4Hx8fZLZWp/vPtEToaLYlVLxOHFHqvT9OXhDjVhIzrooNjjtONy2GjuCEH162YqVf5005XByhS3BMPkD2JC3kULivnrmkoefXcPmV4nGyub2VjVzNZ9LVx36lSW97Fx7VB7/L09hCKazy4u45Ut1UzY9gqRzELsk05MfmLRPPaNW8rn9v+DfVO+1/9Bt/yN0q4dlO6uhNZbu/tED2BedoiZ1e+A3U1J0/uUZTmSMtJ5XgcT1X5qfBNTB8VgSoTGH2kuwG/+uY3IRj/f4Al45Xtw2rcGtRZ2v2k6F1z4W1j4WeYAj85u4eo/rWJGoZ/vXzzf6oxxLCz8dPfrImFo3W8ueVNTtjOMOWFafsL0uBz41EOmrdoHD8JZP+i7f28PSimOnZx72IaNxGVPMBnjlXfBsVcf1CGyfE5u+9hslh9Xxv+8sIXfv7YDpeCms2YO82KFEGL0GVKKTCl1qVJqg1IqqpTqu8GliMvymuD43zedwoULirl7RTmn/OTf3P9GOaFItPcLpi6jfOnPKGpawyNZvwFgW7ODD/Y0xp9S02o2QZnyCSsobq4Ep4+8TB81rT2CYo8TXIFhyxQXx8onAkXxjT7JmWIX41UdQW9R9+bBjHwUmnH2NryDaBEWk+V10tTeZU45l1mBojc7eaPdADXFAEtnFJDjc3LHM+u54ZEPuGfFDupaO2nrCrNie+2g1zMsohHoaiMS1Ty8cjdLpuQybZyf40vsnGJbTXnR2b2GtQA86vkEeaqF2VXP9n/8lXeZ0cuRLnjrN4Ne1rn2d7AThaU349KdnO4vT3q8UFfjUhHqPYMbm93UEeLuFTvYPONaOPoqM3Tlnf6agCX44EFTGjT34vhdM4sCvHrzKTx89ZKkVnFJ7A7T+qvkqH4D4pSUgiVfhi+/MeiAeMRl5MGy2wf9xacvpTk+fv6phTz31RO558pFzO6jRZ0QQnyUDDVTvB64BPj9MKwlrRRlefjJpUdy1QmT+P7zm/j2Xzfy9AcV/O8nFzC1oDvv1toZ5sp3SjnfeQ03d5rf5qA9k8dX7YlvoKqwOk+UZHshkhAUuwMUBNy8YQV5sRHImR6HyRQ3D89ktyLVSIfy4HUHQCnaPYWURaopiLVk87nQqp5W93jioYvPdEGY6Gk/oDrFLK8TX9M2041hklUK4M2Jj79uCYYGLJ8AcNpt/H75InbVtTG3OItp4/y4HDauvPcdKhu7u3UQjZqgss3qrhEosq7Hd7eX60NrZ5jXt9aQ53czKc9HQcDd/bNGo6Z2fMNT5nR3ez275n2VqoaF3HqO2Ug1q+EVbCrMC+oEejZSi0Q19+8p4gLvPCa/8TM46vL4UIgkVWtNqcmZ34OK9+Hde+DEr6fsrNDTkrZ/sTVawoSjrsbx7x9yvFqf9Hh+114AKu3FzE91gB4eeHMnLcEwN5w+A4p+Cq3V8LebTQA358K+XxhsNn1+j/ykyTwnkBrXQ8vsfTjALxNCCDFGDSko1lpvAvmPaSjmFmfx0BcX8/y6Ku54Zj3n/vJ1bjtnNsuXlGGzKe58dgN7G9o55Uu3ws48eOUHTJ8xi/vXVPGf583B53LE27GV5vigxcrotFSCy8+4gJvmYJhgKGLKDrDKJ1zD030CYBz11KlcSq0/Bw3uUsra95FnlTFkZzhxq1oanXMpjL3I6kxR4mpPccS+ZXmdTGh+39yIlRQkBcXhlCOeU0l1irskx8u6iqbuO978JfzzTlOPGqtNjXEFTG3m+AWmPGDcbIiEaG/azxtrt7Bm6w6cIbOZ8U0UdpudgM/NFG8HJ4TexN5a1T3tTGumrP1fnvVMZ8a4B4FibOufZL+jhCeqxnFdj7Wvq2iioSPM3hO/yeTXl8Mbv4RTb+v9Q678velusvBy0y93w1MmO3vyLf3/5jTuprh5NT+JXMay+iiR6DTmdqxKekqgbRcAe9T4/o+F+bJyz4pyTp89rnuT6cfvgT9dCE9eDRkFfdfVbngKwh2wcPmA7yOEEEIcrMNWU6yUuga4BmDixMGdbk0XSinOO6KYYyflcsuTa7nzLxv456b9LJs1jiff38sNy6aZTS6TvglHX8nSWhe/3vAWf1u3j08cXRoPiktyvNAVyxRXQeHc+BCC2tZOmuOZYqfZaDdMNcW5up4anY21hY5q53gmqQ/jnQ4Cjih+mthuKyBemWiNei52HtgAkSyvk2kNayCzFLKtnqzeHKgvpyscpTMcHVSmuC8l2V7q27ro6IrgrXzLDEeYezF8/F6TnW6pMvXazXvNRL2qNaY9WrgjfgwfcIZ10Q7zRUGhzYNBCHXYecO2kJKTbmHqiZeCO0BFYwc/Wvd9fux9ANfdJ5vBCuWvUTHpi5Rvbmd/c5DCzO5Jbq9uqUEpmLvkbKi7CN74hdmcmTglrK0W1j1uAmJvjrnMOBve/i0s+UrqKWgx658E4Nno8Ti31RKJzOeY1iehvR585ouEo7GcNu1hb9fAfYb/9NYumjpC3HDa9O47XT74zKOmy8Ojl8P1q+LHTvLBg6alW8nRA76PEEIIcbAGrClWSv1TKbU+xaWf8529aa3/oLVepLVeVFBQMPAL0tC4TA/3XXUM37toHqt2NvCdv25k4cTs5EAiUMQxk3KYnJ/BY6vM4ISKxnZyfE4TDMZqiqOhePkEQHVLJy1WTXHAYz1vmDLF2ZF6qqLd/W8rKKJANcYn5qmWfdiUpkolTNyyMsWFjgNbQ7bHwdyudSZLHDtD4TE1xa2d/Y947mX9k/DBQ6YHraXE2uG/r3IXPPF50yP6gl+ZMgl/gckMzzjTjPA996fwxX/CbXvZd/kr3GL7Bld13cz3x/+aLZe9BrfuRt3ZgPp2I9zZCN+qhztqKL/2Q+7M+E/OermIP71fh9aaR9/ZzXPR42i46nWYciq8+iNA4z/6UwC8vaMuaemvbK3miNJsM2r5jO+YLPbL303++d67DyKdsPhL3feddJOpv37vvv5/b9Y9Qbj4GPbqcby2tYYV0fkmsN/xSvdz6raz115MXXuo30O1dYa5+/UdnDqzoHt6XIwvFz5xn8n0v/SfvV9cvRn2vmsCezkjJYQQ4hAaMHrQWp9+OBYiDKUUly8p44Rp+dz3RjnXLJ3SPXQg4TmXLirlx//YQnltG3sbOkyWGJKzf+4A4wImu1jT0klzR4+WbKF2s8krxSauQdOazFAtlZEjiEY1NpuiPGoVSdSXm/GuTab2dG8koY7VqikusB1Yr+QpqpJcmrrriSG+0S4W9A9mox0A/7jNdCXY+Axc+Bvwj6M424udCDl/u9bUsi5/pvuLRl/sDn6/ycVTwWN4/NrjWDgxRb2uUqYEw2ZnxngXz1x3Ajc+uppvPbuBNXuaeH1bDafOHEdx6ST49COw9jFo3MXUuUcTcL/IyvJ6LlxgssANbV2s2dPI9cusL0s5k+C462DFz2DxNSajGgmZ+uGpy0yLv5gJx8DkpfDmr+CYq8Hp6bVU9m+E/etxnPMTMisdrN7TiNJT0O5M1If/Mj2TAeo+pNo5gYa2rn5/ex58excN7SG+mvjlLlHRPDOQ5I1fwJGf7i6LAVj9oOl9fcQn+30PIYQQYqhGT4NWkWRyfgbfvXCeqRNO4eNHlWJT8PiqPext6KA023peYgDn8sczxTVWpjjDZTdBdix47jqw8oVeOptxRoPs0zm0dpmge0uXlRFusLoVNFcAsDOccGrc7qSZDHJpPqC3m925FoDIxITAyZsD4Q5aW03WeVCZ4tYaExBPOskMdPjtcbDl7xRne/iG43Gyq1eayV+FcwY8VFNHiMfe3cP5RxanDohTyPI6ufuKRXzttOk8+f5eqls6uXyJVVaklNlUdvIt2G2KYybnsjIhU7xiey1RDafMTDjjcuI3TF3uP/6fyXxvfNaUeiy+tvebn3ST+dlXP5h6ceufMAH83IuYlJ9BVEOmz4OavNRkirU2QXfjbhq9E6jrJyju6Irwh9d2cNL0/PjG0JRO/qZpsffcjWZ4BZj3WPNnU/IxxG4KQgghxECG2pLtYqXUXuA44Hml1AvDsywxkMJMD6fOHMcT7+2loqHDtGMDs/krxh0gN8OFUqZ8ImkEsisWFA+xhMLqh1ytc+LdLdZ3WMFvvRUUW5niD4Pdu9ijUU1d1E/WAQbFk9s+oErn0uJNqJ21Oil0NJthIIHB1BRXbzDXS2+CL71qukk88imK//Y5rnP8hbWFF8GCT/d/DMuf39lNW1eEL5w4+YB+FptNceMZM7j3qkV88cTJnDwjdeC3eHIuH9a0Ud1iumK8urWGLK+TIxNLETyZsOwO2PO2yXyvvMuUfkw7o/cBJy+F0mNMZjbSo/RBa1OHPOUU8I+LT7abmJdhss5Ne6DuQ2jYBTpCW0YZ9W2dvd4i5qGVu6hr6+JrfWWJY1wZcO7/ml7EK35u7tv2IrTVmNIJIYQQ4hAbUlCstX5aa12qtXZrrQu11mcN18LEwC5dNIHqlk46QpHu8gm7w3QbAHAHcNpt5Ppc8fKJTK8j/hgw9M12LVUA7Nc5tARDRKKa3e1OOhxZUL/DPKdpL+32TKo6uss0WoJh6skkM9KU6qipac34xvdYGZ1FkxWAA6Z8AuhqNdnUwGDKJ/ZZ7cUK55muEVe/DMffgG3bC2xRk3kw+yuDWlIoEuX+N3dy3JS81KO7B2HZrELuOG9O7/G9lsVTTKnJO+X1RKOaV7fWcNL0/N7PX7jc/DzP3WjqcI/9UuqWcUqZbHHjbvPchl3dj+1919w//1IAyqyJi2W5Pph6qnnOjn9D3XYAurKmUN/WhU6oy44JhiLc9eoOTpiWx6LBTEObfgbMvQRe/x+o3W422PkLUwf2QgghxDCT8okxbNmscfGpcUllFrGA1yqRKAi4TflEZ6pM8YHV9PbSsh+AarJpDYZpaO8iqqHVNyGpfKLFXUhje3fw1NQRol5n4gs39nXk3uq24+2s5e3oHDPqOcbKFIesoNg/mPKJ/RvAXxTf8IfDDWf+F3z5TX5Y8N/sak4xSCWFv62roqopyNVLDyxLfCDmFWeS4bLz9o46Nu1rpqalk5NnpNisarObyWsdDeaMwYLP9H3QGWeZARqrH4ZfLoDHroDdb5taZocHZp0LQFmu6X1cluczmefsMvjwX2aMMqDzphCKaFo6w73e4pkPKqht7eSrywbIEic6+0dmQuHT18DWF+DIT5kvekIIIcQhJkHxGOZy2LjkKFNGEOuaACQExaZncUHATU2rlSmOBYyxmuJhyhRX62xagmFqrel5XZllCeUTFQR94wlHu4Onxo4u6nQAb+gAguKdKwBYGZ2dMiiOtJupdoOqKd6/Hgrn9r6/cA5ZueOobOro/VgPWmv++PoOphRkcEofpQ/DwWG3sWhSLit31PPq1hqA1EExmMlrx11vSik8/UwhUwrO/wV8fS0cf4Opq773LHj3blPDa712opUpnmCVUTD1VCh/HWq2gCebjGyzqbK+tXdd8apdDeT7XSw+kHHHgUI449tQ8Z7pqLFASieEEEIcHhIUj3HXnjyVW8+Zxayi5FpiIJ4NLgi4qWkO0hIMmcEdCY8NR01x1OmnDS/NwRB1VnCkc6eY+tNwFzTtIeQvBoh3KmjqCFFPJs6uhqSWaP0qf41wRiHluihlUKzbTU3xgH2KI2Go2Zw6KMZ8wahqDBKJ9r+uleX1rK9o5osnTsHWR+nDcFkyJY9t1a0880EFc8ZnMi4zRdeImLO+D0tSbLBLJavUtHT7xkbTYm7iEtPJwnLUxBxuWDaNs+YUmTumLjNnFzb9BfKmxs9U1Lf3Doo3VDYztzjrwIf7HHWVGeE9+WQomHFgrxVCCCEOkpyXHOPy/G6uPXlq8p3xTLG5HhfwUNPaid/t6M6iuoYvUxz1F0FL9xhpAGf+FNBRE3wGG81IZKChPURZngmK63QAWzQEwaZ4XXCftIby1wiVnQp1isbE3rge67UdjbjsNjzOAVrM1W2HSJepv02hONtLOKqpaemkKKvv4PPu13eQm+GKZ+sPpcVTTLZ16/5WvnzK1AGefRBcGXDMF80l8W6HjW+cmdDSbfJSUDZTopE3zfRJpnemuDMcYdv+Fk6deRA9yW02uOKZA3+dEEIIMQSSKf4ociUHxQUBN6GIpqE9ZKbZQUJLtqHWFO9DZZoxv6Z8wgRHGlLlXAAAFppJREFUvqJp5vGdrwNgzzHtxpIyxdo6vd+ePJgipeqN0F6LY+rJ8dfHuTNB2bB1Ng6yntjaZFeUOiiOlaJUNPY9gnpHTSv/3FTN5UvKBg7Ch8H8kix8LvM+fZZOHA7eHCheaH6dO7U7KO7Rlm3rvlbCUX3Qmw+xO81FCCGEOEwkKP4ocvcOimN6lU8MQ6bYljkeh03REgxR29qJ067wj7dOe1t1wO48KyhuTy6fAMw44oGUvwaAc9opuBw2mhODYpsNPNk4OpsGX09sc0Je6g1gsU4eFY3BPg9xz4pyXA4by5eUDfx+w8Bp1RX73Q6OLhtcL+RDZorVhSKvOyju2at4faXpKjK3uJ+6ZiGEEGIUkfKJj6Je5RPdQXF3+UQGoIZWU6w1tO5HBQoJeBy0BMMEQxHyMtwofyE4M2DXGwD4C8qAzfGMYlNHiBZbLFM8iKB4x6tW94MJZHm3JGeKAbw5uDqbBq4nBtN5omAmOFwpHy6OZYobUm+2a+0M8+T7e7l4QUnSF45D7T/Pnc3+5k6c9hH+Ljv3IjMmuuRofC47boetV6/iDZXmC0qsz7EQQggx2kmm+KMoxUa7mHj5hFLm8aFMtAs2QjgIgfH4PQ5agiHq2rrI87vM8XMmmXphFP78CdgU8Vrg5o4QIY/VlWCgTHEkbILryUsBMw2ud1CcjTs02Ezxhj432YHZqJfldVLZmDooXl/RRDAU5ez5RQO/1zCaXhjgxOn5h/U9UyqaD7fsgNzJKKXIy3BR35b8eayvaGZuceaBb7ITQgghRogExR9F3hxAxdtqFaTKFIOpK+4cQk2xNc2OQBEBtzPeki3fb71f7uT44zanixyfK96loLE9RNRrBXgD1RRXrYbOZtONgL6C4hy8kRb87gHqUNvrzdjpfoJiMNniin6CYoB5xQdZL/sRk+t3JWWKw5Eom/eZzhNCCCHEWCHlEx9FRy2HwjnxjHHA7cDjtBEMRbtrisHKFA+hfMLqUUxgPAGPMkFxSyfTx1mZ6lhQbHWeyPY5aUyoKfb4/BD0DRwUl79qriedBJigeH9zj3pfbw4Z0fUDZ4r3W+Od++g8EVOS7WVvQ+qNdhsrmynMdB/W0onRLDfDnbTRbkdtG8FQlHklUk8shBBi7JBM8UeRNwemnR6/qZSKB3CZiSOQ3f6hbbRLzBR7nDQHQ9S2dZHvt2p1c6ygOKsUgNwMV1JNcZbXCb78gcsnyl+DcXPBb7ou9JUpDuiWYQyKPX1niiubJAuaIC/DlbTRbkN8k538HgkhhBg7JChOEwX+WFCcEDQOOVNsBcX+IjI9DqqagnSFownlE1PMtRUU5/hc8ZrieFCckdf/RrtQ0IwfnnJy/K5UQbH2ZBHQ7fhdA/yR3r/eBOL+/ifQFWd7aQmGaQ4mv09HV4Tt1a3Mk64KcTk+V1KmeH1FMx6njSn5GSO4KiGEEOLASFCcJuKZ4sTyCXdg6Jlidxa4fAQ8jnigmh+wMsV51pCJbNOOLTF4GnSmeO+7ZjOftcku9jO0BMNJE+dCrmxsSpPn6Ex1lG6xTXYDbACLtWXrudlu875mohrmHmz/3Y+gPL+L9q4IwVAEMJniWUWZOEa6S4YQQghxAOR/rTRRmOnBZbfhdiR85JnFUL0Bnr4W6j488IO2VEHAdGAIJJRl5GVYmeLsifCph+HITwOQk2EyxeFIlJZg2MoU5/dfU1z+Kig7lJ0QvyvLCuxbErK4QYfJ3Oba++mmEY1A9SbTPWEAfbVlW1/ZDEj/3USJAzy01myobJZ6YiGEEGOObLRLE1ceP4mjy3KSW2QtuwMcHnj3blj7GCz4DCy92QSzDeVm8MbON2D3mzD7Ajjr+8kHbdmXEBR3/1GKl08AzDo3/sscn5OuSJR91ia5LK8Tonn9Z4rLXzMT1DzdQVYsKG7qCJHtMwFZmz1AJpCr+sl81++AcMeAnScASrNTZ4o3VDSR7XPGp96J5KA4HNG0BMNSTyyEEGLMkaA4TUwt8DO1wJ98pzfHBLrHfxVW/AxW3QdrHoGMcdBSaZ7jywdfLqz8vXleIKE3b8s+KDseSM4Uxzfa9ZBjBU87a01XhyyvE3SeCVS72qyBIgk6W6DiPTj+hqS7E4PimFZlfrZM3U9QHBvvPIigON/vxmW3sbdnUFzZzLziLOm/myAvYard7nrz2Uq7OiGEEGONlE8IE+ie899wwwdwzBdh4hI496fwlZVw83b49J8hGjYZ5RitobV3plip7sxhTzlWVndnnSlxiJdPQOoSil1vmfdN2GQXfx3JQXEzVvs5+imf2L/BlGLkz+z7ORabTTE+20NlwqjnrnCULftamCulAUm6M8WdbKhswmFTzCjyD/AqIYQQYnSRTLHollViguOe8qaaMoh374ETvwEuH3Q0QKQLAuOB7qA4x+fqc4NVboYJZnfWWkGxzwk2Kyhuq41vyIsrfxXsbpiwOHmZKYLiJkyWOSPS3PfPt38D5E8Hp6fv5yQozvImlU9sq26hKxKV0oAeYkFxXWsX6yuamV4YwO2wj/CqhBBCiAMjmWIxOMddBx31sPbP5nZ8cEehubLKJ/L6yBID8frfnXUJ5RP9ZYrLX4UJx4IzuX43VVBcHzVBsa+/oHjf+gH7EycqzvYmbbTbYG2yk3ZsyTI9Tuw2RX1bFxsqm2QTohBCiDFJgmIxOBOPMxve3votRKNJ0+ygu/9x0ia7HnJTlU/48syDPTfbtdfDvnXx0c6JUpZPdCnatBt3uI+gONgETbsHVU8cU5LjZX9LkFAkCphNdhkuO5PypP9uIptNkeNzsWVfC7WtXfKlQQghxJgkQbEYHKXguOuhbhtsfylpmh10Z4rz+xl9nOl1ohTsTpkp7hEUb3vRXCf0J47xOG247LakoLglGKYRP65QH0Hx/o3m+gAyxSXZHrSGfU2mrnhDZTNzijOx2WSTXU95GS7e2mGy/dLDWQghxFgkQbEYvDkXQmYJvPXrpGl20F1T3F/5hN2myPaatmxuhw2P0w7uTLA5kzPFkTC89j9QMBtKF/U6jlKKTK+T5sTuE50hmvFjCzamfvMD6DwRU5LtA6CisYNIVLOxqlnqifuQm2EGeCgFs8dLplgIIcTYI0GxGDy7ExZ/yfQO3vaSaelmbVrzuewcOymXxZNz+z1ErANFrAQCpUwJRWKmeM0jJiO97A6wpd6wleV19MoUt9n8ZgNgKvs3gCfbDCwZpOJs87NVNHRQXttGe1eEeZIFTSnXasM3OS8Dv1v27wohhBh7hhQUK6V+opTarJRaq5R6WimVPVwLE6PUUVeCMwP2vB2vJwaTvX3s2uM4Z/74fl7c3as4K3HcdEa+qSEGCAXhlR9BydFJgz96yvI6k4PizjDt9sz+g+LCeQOOd05UnDDAY0NlE4BMautDrF5cSieEEEKMVUPNFL8EzNNaHwFsBW4b+pLEqObNhoWXm1/7Cw/45Tk+EwwnBcW+hKl2q+6F5r1w2rf6DWB7BcXBsBn13JGifEJrqNkC42Yd0Fo9Tjv5fhcVjR1sqGzG5bD1HoAigO62bNJ5QgghxFg1pKBYa/2i1jps3XwbKB36ksSot+RaQCVligerV/kEWJniWjPB7vWfmo4TU07p9zg9g+LWYIhOR5bJFGud/OSWKuhsgoIDC4rBasvW2MH6iiZmFwVw9tGDOd3lWeUTMslOCCHEWDWcxX+fBx7t60Gl1DXANQATJ07s62liLMidApf8EcbNPuCXpiyf8OVDWx28/TsTHJ9254DHyfI6aWpPzhSH3ZnQ2gmhDjNgJKZms7k+iKC4JNvLlv0t1LV2ce4RB/4lIF0smZLHSdPzWThRKqiEEEKMTQMGxUqpfwJFKR66XWv9rPWc24Ew8FBfx9Fa/wH4A8CiRYt0X88TY8QRlx7Uy+KZYl+PTHFnE7z5K5h1HpQePeBxsrxOWjrDRKMam03R2hkmkmEFZMHG5KC4+uCD4uJsL//YsA+tpTSgPzMKA/zfFxYP/EQhhBBilBowKNZan97f40qpK4HzgNO07nneWohkfdYUgymfWHbHoI6T6XWitckQZ/mctAbDRL1WUNzRkNxlomazeQ9/wQGvtyTbG6/GkNIAIYQQ4qNrqN0nzga+CVygtW4fniWJj7I+u08AHPHJQZdkJE61i0Y1rV1hlNdqB9ezA0XNloPKEkN3Bwq7TTGzKHBQxxBCCCHE6DfUXUO/BgLAS0qp1Uqpu4ZhTeIjLOVGu5JFZmPdstsHfZzEoLitK4zWYPflmAcTg2KtoWbTQQfFJVZQPH2c3wwbEUIIIcRH0pA22mmtpw3XQkR6mFkY4KiJ2SycmNN9Z1YJXPHsAR0nMShuCZoGKA5/LFOc0JatdT8ED67zBEBJjgmKZZKdEEII8dEmo6fEYZXlc/LUV04YluOACYpbO01Q7PRbtcmJmeLqTeb6AHsUx+T4nFy8sISLF5Yc9FqFEEIIMfpJUCzGpGyvKcMwmWLTms3nzwKbIzkortlirg8yU6yU4mefXDCktQohhBBi9JNJBGJMSlU+4fc4wZPdIyjeBN5cyDjwzhNCCCGESB8SFIsxyeO04bLbkoLiTI8DvDmmT3FMrPNEPyOjhRBCCCEkKBZjklKKTGvUc6ym2B8LimOZYq1NTfFB1hMLIYQQIn1IUCzGrCyvg+aEmuKAx5kcFLdWm6zxQdYTCyGEECJ9SFAsxqysWKY4GEYp8Dnt4E2oKa6xOk9IUCyEEEKIAUhQLMasWFDcHAzjdzuw2ZSVKW4yTxhi5wkhhBBCpA8JisWYlZVQUxxwW90FvTnQ2QSRsKkn9uaAf9zILlQIIYQQo54ExWLMyvI6aWzvojUYNvXEYIJgMFPspPOEEEIIIQZJgmIxZmV5nbR0hmnqCJnOE2D6FIOpK67ZJKUTQgghhBgUCYrFmJXpdaI1VDV1EPAklE8A1G41gbEExUIIIYQYBAmKxZgVm2pX2RjE7+4RFO9+01xLj2IhhBBCDIIExWLMigXFXZFo70zx7rfNtWSKhRBCCDEIEhSLMSsWFAMJG+2smuLK1aa+2F84AisTQgghxFgjQbEYs7J83UFxvHwittEuGpLOE0IIIYQYNAmKxZiVnCm2gmK7A9yZ5tdSTyyEEEKIQZKgWIxZiUFxPFMM3SUUUk8shBBCiEGSoFiMWV6nHafdlEfEa4qhu4RCgmIhhBBCDJIExWLMUkrFs8Xx8gno7kAhQbEQQgghBkmCYjGmZfYVFHuyIFA0QqsSQgghxFjjGPgpQoxesUxxUk3xkq/ArPOk84QQQgghBk2CYjGmdZdPJNQUT1xsLkIIIYQQgzSk8gml1H8ppdYqpVYrpV5UShUP18KEGIyUNcVCCCGEEAdoqDXFP9FaH6G1XgA8B3xrGNYkxKBleZ04bAq3Q8rjhRBCCHHwhpRe01o3J9zMAPTQliPEgbls0QQm52egpH5YCCGEEEMw5HPOSqnvA1cATcCpQ16REAdgXkkW80qyRnoZQgghhBjjBjznrJT6p1JqfYrLhQBa69u11hOAh4Dr+znONUqpVUqpVTU1NcP3EwghhBBCCDFESuvhqXhQSpUBz2ut5w303EWLFulVq1YNy/sKIYQQQgjRF6XUe1rrRQM9b6jdJ6Yn3LwA2DyU4wkhhBBCCDEShlpT/COl1EwgCuwCrh36koQQQgghhDi8htp94uPDtRAhhBBCCCFGijR3FUIIIYQQaU+CYiGEEEIIkfYkKBZCCCGEEGlv2FqyHdCbKlWD2Zh3uOUDtSPwvqI3+SxGD/ksRgf5HEYP+SxGB/kcRo+x/lmUaa0LBnrSiATFI0UptWowferEoSefxeghn8XoIJ/D6CGfxeggn8PokS6fhZRPCCGEEEKItCdBsRBCCCGESHvpFhT/YaQXIOLksxg95LMYHeRzGD3ksxgd5HMYPdLis0irmmIhhBBCCCFSSbdMsRBCCCGEEL1IUCyEEEIIIdJe2gTFSqmzlVJblFLblVK3jvR60pVSaoJS6t9KqU1KqQ1Kqa+N9JrSmVLKrpT6QCn13EivJZ0ppbKVUk8opTZbfzeOG+k1pSOl1I3Wv0vrlVKPKKU8I72mdKGUulcpVa2UWp9wX65S6iWl1DbrOmck15gu+vgsfmL9+7RWKfW0Uip7JNd4qKRFUKyUsgO/Ac4B5gCfVkrNGdlVpa0w8B9a69nAEuA6+SxG1NeATSO9CMEvgH9orWcBRyKfyWGnlCoBbgAWaa3nAXbgUyO7qrRyP3B2j/tuBV7WWk8HXrZui0Pvfnp/Fi8B87TWRwBbgdsO96IOh7QIioFjge1a6x1a6y7gz8CFI7ymtKS1rtJav2/9ugXzn3/JyK4qPSmlSoFzgbtHei3pTCmVCSwF7gHQWndprRtHdlVpywF4lVIOwAdUjvB60obW+jWgvsfdFwIPWL9+ALjosC4qTaX6LLTWL2qtw9bNt4HSw76wwyBdguISYE/C7b1IIDbilFKTgIXAypFdSdr6OXALEB3phaS5KUANcJ9VynK3UipjpBeVbrTWFcD/ALuBKqBJa/3iyK4q7RVqravAJFSAcSO8HmF8Hvj7SC/iUEiXoFiluE960Y0gpZQfeBL4uta6eaTXk26UUucB1Vrr90Z6LQIHcBTwO631QqANOU182Fn1qhcCk4FiIEMpdfnIrkqI0UUpdTumDPKhkV7LoZAuQfFeYELC7VLktNiIUUo5MQHxQ1rrp0Z6PWnqBOACpdROTDnRMqXUgyO7pLS1F9irtY6dMXkCEySLw+t0oFxrXaO1DgFPAceP8JrS3X6l1HgA67p6hNeT1pRSVwLnAZ/VH9EhF+kSFL8LTFdKTVZKuTCbJ/4ywmtKS0ophamd3KS1/t+RXk+60lrfprUu1VpPwvx9+JfWWrJiI0BrvQ/Yo5Saad11GrBxBJeUrnYDS5RSPuvfqdOQDY8j7S/AldavrwSeHcG1pDWl1NnAN4ELtNbtI72eQyUtgmKrOPx64AXMP3KPaa03jOyq0tYJwHJMZnK1dfnYSC9KiBH2VeAhpdRaYAHwgxFeT9qxMvVPAO8D6zD/P6bFaNvRQCn1CPAWMFMptVcp9QXgR8AZSqltwBnWbXGI9fFZ/BoIAC9Z/2/fNaKLPERkzLMQQgghhEh7aZEpFkIIIYQQoj8SFAshhBBCiLQnQbEQQgghhEh7EhQLIYQQQoi0J0GxEEIIIYRIexIUCyGEEEKItCdBsRBCjACl1A1KqU1KqYd63H+VUqpGKXW3dfsUpdRzPZ5zv1LqE/0c+ydKqX1KqZsOzeqFEOKjxzHSCxBCiDT1FeAcrXV5isce1Vpff7AH1lrfrJRqO/ilCSFE+pFMsRBCHGbWNKgpwF+UUjcO4TiLEiZDrlNKyTQmIYQ4SJIpFkKIw0xrfa1S6mzgVK117SBecpJSanXC7YnAc1rrVZix0CilfgL8Y/hXK4QQ6UGCYiGEGP1e11qfF7uhlLo/8UGl1GXAUcCZh3ldQgjxkSFBsRBCjGFKqbnAd4ClWuvISK9HCCHGKqkpFkKIMUoplQX8GbhCa10z0usRQoixTDLFQggxdl0ElAF/VEoBoLVeMKIrEkKIMUqCYiGEGAFa60mDfN4rwCs97rsq4eYDw7UmIYRIZ1I+IYQQo0sHcE5seMfBsDpRXA5Ir2IhhBgkpbW0tRRCCCGEEOlNMsVCCCGEECLtSVAshBBCCCHSngTFQgghhBAi7UlQLIQQQggh0t7/B1KW8NeVj3JEAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,4))\n", "ax.plot(w[w_mask], np.angle(F[w_mask,0]), label=r\"$\\theta_1$\")\n", "ax.plot(w[w_mask], np.angle(F[w_mask,1]), label=r\"$\\theta_2$\")\n", "ax.legend(loc=\"best\")\n", "ax.set_xlabel(\"f [Hz]\")\n", "ax.set_title(\"Fourier spectrum argument\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lineární algebra\n", "\n", "Modul `scipy.linalg` obsahuje velké množství nástrojů pro lineární algebru -- pro řešení lineárních rovnic, hledání vlastních čísel, různé dekompozice aj. Obsahuje také všechny funkce z `numpy.linalg`. Více informací viz http://docs.scipy.org/doc/scipy/reference/linalg.html." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "import scipy.linalg" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Řešení soustavy lineárních rovnic\n" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "n_eq = 3\n", "A = np.random.rand(n_eq, n_eq)\n", "b = np.random.rand(n_eq)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Použijeme funkci `solve` na řešení soustavy." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "x = sp.linalg.solve(A, b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stejné řešení pravděpodobně dostaneme pomocí inverzní matice." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "xx = np.linalg.inv(A).dot(b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Co a kdy bude rychlejší?" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "93.7 µs ± 773 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" ] } ], "source": [ "%%timeit\n", "sp.linalg.solve(A, b)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "77.9 µs ± 1.11 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" ] } ], "source": [ "%%timeit\n", "sp.linalg.inv(A).dot(b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ještě zkontrolujeme řešení." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "chyba solve = 3.887413856819123e-14\n", "chyba inv = 1.537528622763745e-14\n" ] } ], "source": [ "print(\"chyba solve = {}\".format(np.linalg.norm(A.dot(x) - b)))\n", "print(\"chyba inv = {}\".format(np.linalg.norm(A.dot(xx) - b)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Vlastní čísla\n", "\n", "Vlastní čísla matice $A$ splňují rovnici $\\displaystyle A v_n = \\lambda_n v_n$, kde $v_n$ je $n$-tý vlastní vektor a $\\lambda_n$ je $n$-té vlastní číslo.\n", "\n", "`eigvals` najde vlastní čísla, `eig` zároveň i vlstní vektory." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([2.18619939+0.j, 0.00293535+0.j, 0.2475228 +0.j])" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sp.linalg.eigvals(A)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "evals, evecs = sp.linalg.eig(A)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vlastní vektory jsou ve sloupcích a v odpovídajícím pořadí k vlastním číslům. Můžeme si to jednoduše ověřit." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.418333242764116e-15\n", "7.317246967265382e-16\n", "8.804469334467935e-17\n" ] } ], "source": [ "for n in range(len(evals)):\n", " print(np.linalg.norm(A.dot(evecs[:,n]) - evals[n] * evecs[:,n]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Řídké matice\n", "\n", "Ŕídké matice osahují jen málé procento nenulových prvků, proto se vyplatí s nimi zacházet speciálním způsobem, včetně uložení v paměti. I s tímto nám SciPy může výrazně pomoci." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "import scipy.sparse\n", "import scipy.sparse.linalg" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Řídkou matici můžeme vytvořit např. pomocí standardního array obejktu." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[1 0 0 0]\n", " [0 3 0 0]\n", " [0 1 1 0]\n", " [1 0 0 1]]\n" ] } ], "source": [ "# řídká matice uložená běžným způsobem\n", "M = np.array([[1,0,0,0], [0,3,0,0], [0,1,1,0], [1,0,0,1]])\n", "print(M)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " (0, 0)\t1\n", " (1, 1)\t3\n", " (2, 1)\t1\n", " (2, 2)\t1\n", " (3, 0)\t1\n", " (3, 3)\t1\n" ] } ], "source": [ "# vytvoříme řídkou matici ve formátu CSR (compressed sparse row)\n", "A = sp.sparse.csr_matrix(M)\n", "print(A)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Efektivnější způsob, jak vyvořit řídkou matici, je vytvožit prázdnou a poté přidávat hodnoty pomocí indexů. Použijeme na to LIL (list of list) formát." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " (0, 0)\t0.8360835074924029\n", " (1, 1)\t0.1430999316266789\n", " (1, 2)\t0.7022199761395168\n", " (2, 1)\t0.4383882176911462\n", " (2, 2)\t0.2638926862653187\n", " (3, 3)\t0.2711588932300386\n" ] } ], "source": [ "A = sp.sparse.lil_matrix((4,4))\n", "A[0,0] = np.random.rand()\n", "A[1,1] = np.random.rand()\n", "A[1,2] = np.random.rand()\n", "A[2,1] = np.random.rand()\n", "A[2,2] = np.random.rand()\n", "A[3,3] = np.random.rand()\n", "print(A)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Takto vytvořenou matici převedeme do CSR formátu, který je obvykle efektivnější, a zkusíme vyřešit lineární systém pomocí konjugovaných gradientů (což nemusí vždy fungovat)." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "A = sp.sparse.csr_matrix(A)\n", "b = np.random.rand(A.shape[1])\n", "x, info = sp.sparse.linalg.cgs(A, b)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "converged solution, error 1.2e-15\n", "[ 1.16572053 2.28448702 -0.28941359 1.92368359]\n" ] } ], "source": [ "if info == 0:\n", " print(\"converged solution, error {:.2g}\".format(np.linalg.norm(A * x - b)))\n", " print(x)\n", "else:\n", " print(\"not converged, info = {}\".format(info))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interpolace a aproximace\n", "\n", "Scipy nabízí jednoduché možnosti pro interpolaci a aproximaci dat." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "import scipy.interpolate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Příklad interpolace\n", "Vyrobíme si nějaká zašuměná data pomocí známé funkce (např. sin) a zkusíme je interpolovat pomocí `interp1d`." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "def f(x):\n", " return np.sin(x)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "n = np.arange(0, 10) \n", "x = np.linspace(0, 9, 100)\n", "\n", "y_meas = f(n) + 0.1 * np.random.randn(len(n)) # simulate measurement with noise\n", "y_real = f(x)\n", "\n", "linear_interpolation = sp.interpolate.interp1d(n, y_meas)\n", "y_interp1 = linear_interpolation(x)\n", "\n", "cubic_interpolation = sp.interpolate.interp1d(n, y_meas, kind='cubic')\n", "y_interp2 = cubic_interpolation(x)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,4))\n", "ax.plot(n, y_meas, 'bs', label='noisy data')\n", "ax.plot(x, y_real, 'k', lw=2, label='true function')\n", "ax.plot(x, y_interp1, 'r', label='linear interp')\n", "ax.plot(x, y_interp2, 'g', label='cubic interp')\n", "ax.legend(loc=3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Aproximace pomocí splajnů\n", "Nyní se podívejme na splajny, které *aproximují* data, tj. nemusí procházet zadanými body." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 9, 100)\n", "n = np.linspace(x[0], x[-1], 20)\n", "y_meas = f(n) + 0.1 * np.random.randn(len(n)) # simulate measurement with noise\n", "y_real = f(x)\n", "\n", "fig, ax = plt.subplots(figsize=(10,4))\n", "ax.plot(x, y_real, 'k', lw=1, label='true function')\n", "ax.plot(n, y_meas, 'bs', label='noisy data')\n", "for s in (0, 0.05, 0.1):\n", " spline_interpolation = sp.interpolate.UnivariateSpline(n, y_meas, k=3, s=s)\n", " y_spline = spline_interpolation(x)\n", "\n", " ax.plot(x, y_spline, label='spline, s={}'.format(s))\n", "ax.legend(loc=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fit pomocí nejmenších čtverců\n", "Tohle je trochu jiná úloha než interpolace nebo aproximace. Nyní máme předem danou funkci s neznámými parametry, o které předpokládáme, že popisuje naše data." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "# fitování patří do optimalizace\n", "import scipy.optimize" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "# předpokládáná funkce, a,b,c jsou neznámé parametry\n", "def f_fit(x, a, b, c):\n", " return a*np.sin(b*x + c)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 9, 100)\n", "n = np.linspace(x[0], x[-1], 20)\n", "y_meas = np.sin(n) + 0.1 * np.random.randn(len(n)) # simulate measurement with noise\n", "y_real = np.sin(x)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "výsledek: 1.05 * sin(1 * x +0.00579)\n" ] } ], "source": [ "# počáteční odhad parametrů\n", "guess = [1.3, 0.7, 1]\n", "params, params_covariance = sp.optimize.curve_fit(f_fit, n, y_meas, guess)\n", "print('výsledek: {:.3g} * sin({:.3g} * x {:+.3g})'.format(*params))" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,4))\n", "ax.plot(x, y_real, 'k', lw=1, label='true function')\n", "ax.plot(n, y_meas, 'bs', label='noisy data')\n", "ax.plot(x, f_fit(x, *params), 'r', label='fit')\n", "ax.legend(loc=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Zpracovnání obrazu" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "from scipy import ndimage, misc" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "sample = misc.ascent()\n", "\n", "samples = [sample]\n", "titles = [\"original\"]\n", "\n", "samples.append(ndimage.shift(sample, (50, 50)))\n", "titles.append(\"shift\")\n", "\n", "samples.append(ndimage.shift(sample, (50, 50), mode='nearest'))\n", "titles.append(\"shift nearest\")\n", "\n", "samples.append(ndimage.rotate(sample, 30))\n", "titles.append(\"rotate\")\n", "\n", "samples.append(sample[50:-50, 50:-50])\n", "titles.append(\"crop\")" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, len(samples), figsize=(18,6))\n", "for ax, im, tit in zip(axes, samples, titles):\n", " ax.imshow(im, cmap=plt.cm.gray)\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", " ax.set_title(tit)" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "from scipy import signal\n", "\n", "noisy_sample = sample.copy().astype(np.float)\n", "noisy_sample += sample.std() * 1 * np.random.standard_normal(sample.shape)\n", "\n", "samples = [noisy_sample]\n", "titles = [\"noisy\"]\n", "\n", "samples.append(ndimage.gaussian_filter(noisy_sample, sigma=3))\n", "titles.append(\"gaussian filter\")\n", "\n", "samples.append(ndimage.median_filter(noisy_sample, size=5))\n", "titles.append(\"median filter\")\n", "\n", "samples.append(signal.wiener(noisy_sample, (5,5)))\n", "titles.append(\"wiener filter\")" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, len(samples), figsize=(16,5))\n", "for ax, im, tit in zip(axes, samples, titles):\n", " ax.imshow(im, cmap=plt.cm.gray)\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", " ax.set_title(tit)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.8" } }, "nbformat": 4, "nbformat_minor": 4 }