Skip to content

Instantly share code, notes, and snippets.

@lukecampbell
Created October 17, 2016 00:21
Show Gist options
  • Save lukecampbell/df210cb7c7282b6e74ee0af8e2e141e2 to your computer and use it in GitHub Desktop.
Save lukecampbell/df210cb7c7282b6e74ee0af8e2e141e2 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from mpl_toolkits.mplot3d import axes3d"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sciplot.fields import plot_field, plt\n",
"from sciplot.symbols import np, pq"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"Y, X = np.mgrid[-10:10, -10:10]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's start with something very basic, a function that is radial outward with a magnitude proportional to the distance from the origin."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$\\mathbf F(x,y) = \\mathbf{i} \\cdot x + \\mathbf{j} \\cdot y$"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"U = X\n",
"V = Y"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(<matplotlib.figure.Figure at 0x17498a668>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x1749adb00>)"
]
},
"execution_count": 64,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAh4AAAFnCAYAAADpBkDeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niqIoipI2/gv0Rex0Qc+xMAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x17498a668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_field(X,Y,U,V)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What about a function that points at 45° and always a lengh of 1."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let $\\mathbf u(x,y)$ describe $\\mathbf F(x,y)$ in the $x$-direction.\n",
"\n",
"Let $\\mathbf v(x,y)$ describe $\\mathbf F(x,y)$ in the $y$-direction.\n",
"\n",
"\n",
"\n",
"\\begin{align}\n",
"|\\mathbf F|^2 &= |\\mathbf u|^2 + |\\mathbf v|^2 \\\\\n",
"1 &= |\\mathbf u|^2 + |\\mathbf v|^2\\\\\n",
"\\end{align}\n",
"\n",
"Since the angle at any point is 45° to the $x$-axis, that means that $|\\mathbf u| = |\\mathbf v|$\n",
"\n",
"\\begin{align}\n",
"1 &= 2|\\mathbf u|^2 \\\\\n",
"\\frac{1}{2} &= u^2 \\\\\n",
"\\frac{1}{\\sqrt{2}} &= u \\\\\n",
"u &= \\frac{\\sqrt{2}}{2} \\\\\n",
"v &= \\frac{\\sqrt{2}}{2} \\\\\n",
"\\mathbf F(x,y) &= (\\mathbf i + \\mathbf j)\\left(\\frac{\\sqrt{2}}{2}\\right)\n",
"\\end{align}"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"U = np.ones_like(X) * np.sqrt(2) / 2\n",
"V = U"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(<matplotlib.figure.Figure at 0x11e74e8d0>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x11e74bac8>)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAiQAAAFnCAYAAACW11IvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIXE4HA6Hw3HVcULicDgcDofjqvP/AVRsxf4aWraxAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e74e8d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_field(X, Y, U, V)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now what about radially outward with all a magnitude of 1?\n",
"\n",
"In order to make the direction radially outward, we can start with:\n",
"\n",
"$f = \\mathbf{i} \\cdot x + \\mathbf{j} \\cdot y$\n",
"\n",
"The problem with this function is that it has a magnitude proportional to it's distance.\n",
"\n",
"Well, the distance from the origin is $r = \\sqrt{x^2 + y^2}$\n",
"\n",
"So we can fix the magnitude using"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\\begin{equation*}\n",
"f = \\frac{\\mathbf i \\cdot x + \\mathbf j \\cdot y}{\\sqrt{x^2 + y^2}}\n",
"\\end{equation*}"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/luke/.virtualenvs/work/lib/python3.5/site-packages/ipykernel/__main__.py:2: RuntimeWarning: invalid value encountered in true_divide\n",
" from ipykernel import kernelapp as app\n",
"/Users/luke/.virtualenvs/work/lib/python3.5/site-packages/ipykernel/__main__.py:3: RuntimeWarning: invalid value encountered in true_divide\n",
" app.launch_new_instance()\n"
]
},
{
"data": {
"text/plain": [
"(<matplotlib.figure.Figure at 0x11e9cd630>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x11e9f2400>)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAiQAAAFnCAYAAACW11IvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvWd0VVe2pv0sSYgcBIgcRI4mm2iCicbYgAPOucqu2/fe\n7v5G/bnd3x/f+vfd7jGq+5arnMouR8A4B4wxYJtgMDkHk3MQWUgo66zvx6tTOlC2sXXmRhJezxga\nOudImmdrn73Xetecc83pvPcEAoFAIBAIVCUpVX0AgUAgEAgEAkGQBAKBQCAQqHKCIAkEAoFAIFDl\nBEESCAQCgUCgygmCJBAIBAKBQJUTBEkgEAgEAoEqJwiSQKCKcc696pzLds5tTXgtwzm3yDm32zn3\npXOucVUeYyAQuHH5oTHoqp/3cM6tcs4VOud+f9XPbnPOfe+c2+Oc+7eE13/xGBYESSBQ9bwGTLnq\ntf8BLPHe9wC+Bv7ndT+qQCDwa+GHxqBEzgH/FfjfiS8651KAP5f/bR/gQedcz/If/+IxLAiSQKCK\n8d5/C1y46uUZwBvlj98AZl7XgwoEAr8afmQMSvz5We/9BqD0qh8NBfZ67w9770uAd9DYBZUYw4Ig\nCQSqJy2899kA3vtTQIsqPp5AIBC4mrbA0YTnx8pfA2j5S8ewIEgCgZpB6PEQCARqMtccw9Ku55sF\nAoEf5tChQ9x5551Qfh/17NmT7Oxs37JlS06dOkXPnj3//rOrcc7x7LPP/v35uHHjGDduXPQHHQgE\n3PV8syyX5Q9zOFkz2d77VgaHA3Ac6JDwvF35awCnnHMtvffZzrlWwOlrGbMUJIFAoJJ470lsdDl9\n+nRef/11/u3f/o033niDGTNm/MRfw7//+79HfISBQKCqOcxhfJJrf4dr+aM/+nkCK/F31gFdnXMd\ngZPAA8CD5T/7FHgC+A/gceCTaxo27PYbPCSBQCV46KGHWLp0KefOnaNly5b84Q9/YObMmcyaNYuj\nR4/SsWNH3n33XZo0afKDf++cI3TtDgSqhOvqIXHO+ZhL7l5P8Q7v/RXH7ZybA4wDmgHZwLNAOuC9\n9y8751oC64GGQAzIA3p77/Occ7cB/4lSQF713v9/5TabAu8C7YHDwH3e+4s/+f8FQRII1GyCIAkE\nqozrLkjKUpK711Nj/yhIqgshqTVQI4hyvi0ujs42wKVL0dnOy4vONkR77BDtuQ8aLXAj4l1yX9WZ\nIEh+RUQ5QOdchFhZdPa3bYvO9pYtcP5cNLa9hy8XRWMbYM/u6Gx7Dwu/jM7+ieOwO8Ljj/KaKS2B\n3Nzo7AcxFfg1EgRJJYhysDh7NjrbmzdHt+LNzYUvFkZ3bpYth1OnorGdlwtLlkRj+9Il2LEDTp+J\nxv6ePdHYBThyBHbujMaL4T0sWgT5l+1tAxw6DKvXRGPbx+Djj6GkJBr7587pmomKKMeYIKSiJ3hI\nIiLKi/fM6ejsr14NF38yNafybNsOK1ZEc+x16sJrr0dz7E0yYP06nZuo+OBDKLm6TqABBQWwaxcc\nTno33T+Sna3va9fa2y4pgQMH9NjH7O2vKT/m09fcrPfL2f29zndBgb3twkL46CNITbW3DfD1NxIM\njRvZ2z5zRvdowwhsx2KwaDHs229vG+DsGdiwPhrb3uvcREVNElJBkETEnj2wcUM0rv4TJ2HuHLjw\no8VwK0+zZvDiC9G4hLt3h6++hg8/sl+BtWur8/Ha63De+LzUrw9pabDoS/h+l61tkO0zZ+CrCDwZ\n8Ulx0Zf2E/upckGyZYsmSksOHay4Rk6csLWdc0kiDSr+ByvKSmHxYj3Oj0CQLPgCcnJ0zVizaSN8\nuwIaNYJUY/vZ2bo38/OhdWtb24VFMPcdWLUKenS3te29FiMvvQStjI8bdN+/8Xo0C6nSUi2ijkSw\nGImKIEgiomtXWLkSXnhBk5ilSu3bVyu75/8ij0OZ4cq6axdIT4cPP4CPPrSdaFq3hoYNJXZeex0u\nGcapGzaExo01WL/2Gpw1zJtwDuK7Uj/4QPkBlsQnl9VrYL/xCi8uSE6ckIfKkriHpKREITNLdu/5\n4ccWrF9fcT9mG4fK1q2H8+f1uNBYkGzbDlvL+5VaC5IDB2D+fD3OyLC1ffIkvP6GxEjLlpBey872\n+Qvw6quwdy+0aGF77Jcvwztz4fPPZbdt22v/zc+lpBi++kqLv8JCzRdW+Jiuk7/8GbZvgw4d7WwH\nKk+VCpLUVJgwQTHNefPgb6/auc1TU2HECCngr7+CF1+Ew4dsbKekQv8Berx1K7z0ouLtJradvCSg\nCfKVVxRTtqJdO33Py4OFC6HAUEzFB7patWDTZlsRGJ9cMjJ0rmOG4rWgAOrWhVattAqzFMZ5eRJq\nbdrA5Xw7295DUSE0b17+PobCNeb12WVmyhuYY5h3FIvpfDdtqnOen29nu7RMeUYNG+q5pSApLtYi\nIR4G+pGSMJUiN0/Jw3FhHL9HLTh5SmNIPNzRo4ed7X37JBbieUwDB2lhYsHePfD88/JGxWIwapSN\nbe9h3155cz76UPf7xEl2x309CB6SCOnVu0JVHzsm159V9vrAQRr0QEq+sNDOJT9wYMXjVq0gs7mN\nXYCePSpukPG3alKwol072fMexo6BunXsbDdtpnNeVASjb7F1affoDreO0wQ2erSEmxVTb4dBg+TF\nGDPGdnB64AHIyoLatWHCeFvbd99TIQLvnG5nN8XB5MmQkqIJ7K67DG2nwLhxuhdvuQXG3WpnOy1V\nNi9fhtumQJbhqjc9HUYM1zUyeIhypqxo2ABGjdTjZs1sBUnrVldO5j0NBUnr1hWCOCUF+vezsRsr\ng6JifY4g8denj43tixfl/Yt7Lrt21f1ZkwiCJEKcg4kT9Tg9XWKkdm0b2+npMHSoBENhIRw9Bs7o\nP27aFLp0gZGj4Pvv4bhhiCKrkybdwYO1ZTTXsNZE1y7w5JPQoYMS3Cy9AePGwe1TJQKtkzhHjoR+\n/SV24omcVrRrB+3ayxNVYLhiBwm+xo3sdzc5d6W4iWKFd+mSjt1StILCNfn55efdcPIFJcsC9O8P\nw4bZ2l69Wvf9tNth+HA7u2XlyaY9e8Ijj0BHQyF17hx8842E2qhR0LqNne39++HQIbhlNPTqBfXq\n29h1KbrHvVeIacQIeaUtqFNb13V6up5PmGhj93oSBEnEZHXSRffkU8r7mDPbbqvh0KFwxx1aQa78\n1nainDFTYqpvX+VNXDRKFK2Vpsl98iTdOPPn2wmHzExoUF8r4KNHYadhAmqdOpBWC26+GTZsgOIi\nO9sAGU3kTdux09YuVEyMx47Z225ULkhqUiZ/cYlCCI0i2O1x7KhW1JaTY5wdO6Fz5wrPqBWX8xSe\nHT5cE2YdQ5G2caNE2sSJusabNLaxG/PwyacSUWPHKDxu5Vk8nQ3zP9P4OmECTLnNxi7AsmWweRPc\nc4+8l4ne6GQoyIe33lIY9elntMhpZdViLmBCtRAkAJMm6eJ47HFbUVKvPrRtp4t63K3wxYKK3QPJ\n0rChVqZ3Ttfjd99VwSQLUpw8RdOnq3iU9Y6edm0lpJYsUezdkiFDypM4t9jaBejdWx6pUuPtvw0a\nyDV8NApB0ljnw3qXTZTklnt0GhlNjokcPaZ7vZZh4iYoH2r/fjv3fiLr1ut447ljVhQWwdKlumea\nG4ZmAdau0aJj5gzl01iJkcJC5fy1bKmFDVTk7STLxo2wbKmESM9eCqfUSk/ebqIYefwJhZom1kDv\nCAQPyXUhHkqJQpTEGTMGBg3W7hirJFSQF+P+++UeXfCFnV2ALp0VulnwhX1lyAkTtHJfZxxeqd9A\n4ZU1q+230fbuHU3YBqB9e63erYl7GSyTQ6MmfqxReUjatbe3Gw/XWOZJgBYZ69ZKNKQbTI6JrPxW\n4nrsWFu7587Bkq8Uqmlj6InyHj75WPfgrPts88T27pHX5ZbR8rJacbUYiefkWYXvrzdBkPwMLN3z\ncVFy9qwUvhXOKf7buTNs22pnF6BZc5g5Uzt5rIs9TZ6kFfyJk7Z2M5oozh5F5cbhw7WitBZRGU2U\naGm5OyhO5y6qp2JN40bKC4giZNPyxxqJJ0lKio7Z+nz4mEROp062dkFhpr597cM1Fy/qPNw81Nau\n93DuvPLF6teztX38uMKzY8fY2s3N1Rble+61F6ubN0O/fjB+vK3dAweUIJsoRmoyN7IgqdbdfouL\nIN0owTWR0hJt34tCIZeWRlOQqSwGqREcb8zb7lhJxPuatZ2uphK6/UZPlNdyVPdgVGNGVGNcrEyT\nSBQVdqOaS6iCbr+XGiZ3rzfKrb7dfqu1IAkEAtcmCJJAoMoIgsSQCHRuIBAIBAKBKKieUsKGIEgC\ngUAgEKgh3MiCpIbmGQd+TUTRyTYR68TbRLy3LZp3NWci6MSbyPEItkEnEuW5h+ivnUDgenMjJ7UG\nQfIrIeoUA8t+O1dz4KAKMUXFV0vsi7jFycmBFcujsQ2qURMlX34Z3bm5nKeaE1Fx9AgcN+6CnEiU\n1zzUrEJ6gYAFQZBUIy7nKdM8CgoL1cMhKpavgCMR1PAAZd2/9150E+PZs7A8ItFw5rREw/mIJq89\nxl1+Ezl+TNvu443ZrFnylX1J/Tj5l+H99+3rhsTZuw/WGNfvieM9fPdddGNBaYl9i4TA9SN4SGoY\nRUXqEBkFZ8/Cgf3R2HZOBXxycuxt160LmzbC4sXRuLGbNIHZs9Vd1Jq6dXTeP/ssmlVjcbEmgCjq\nsZwuD6msXmNvO/9yRZ0eqwrBiaxere+nIwgLHTum8uCWhQ/j+Bh8+KHEjnVNEoBDh1WpNIqaFrEy\nXecH9tsWHYtz7iy8/bZaPETB97uiE5llZao182snCJIIKCuFTZskHqxxDmbPgb177SewZs3kxv7o\nw4pulFbUq69y8S++UFF10pLOXWDVSg3W1qXXW7bQZ/nWW3DGeGKPTyrbt8OGCLw8xcUSsAu/sL9e\n4t6FzZug0Lhg3t69FY8PHrS1nZMDO3bo8WljD0ksBgs+1+MoBMnyFSohD/aNAY+fgDlzdP+0bGFr\nu7gI5s7VwqFLF1vbAFu3wEsvqbeNddn+Szkw7x2JWOuCad6rR9G8d6Opq1JQoPuzpuQbBUESAalp\nuqn/7/+Br79SuMKK9HR1zpw9B954E44ZJhU6p0aAW7fCX/4sUWU5ifXvr/DKO+/AF1/YCof4ILd9\nO7z9lm1F2Rblg3N+eZnmixftbNdJWOUuXAgnjPMC4pPi/v32QjDuXSgpgQ0bbW0nhmt2G4du1q6t\nuK6tE2c3bVK1T7AXJAcOwNJv9DgtzdYTcPqMvAvxY25hKEjycuH112HfPj23FCTFRfDxR/DRR7oO\n+/e3sx2LqUXEX/6iHlMjR9rZBjh4CF55VSHbAf1ti6ZdytHi8v/+H/XLqaml5G8kqnTb7+DBsGUz\nrFghl/mAgTByBGQ0Td72oIGyeegQvPKKeqCMH2/TwOqmm+Drr7VD4NNPtPK4+25oaLAy6NZdnUQL\nC9UcqyAfps+wqYzYvp3EWnGxuotu2KCW5BYVKJs21TGWlmqFdOyYwjgW1KpVXlnXQdeu9qX569SR\n/c6d5aGywsfkUSspUTsESxe/9+pQnFcu5DOb29pu2xa6dZMXsEEDO9sAjRur/P+pU/Yr9dISfY5H\njtiGa7xXTk2jRrr+GjSAekbl3n0M1q2rCNU2bAjNM21sFxerE3lcvDZpAh062Ng+f0624wuE5s11\nzVhw6pRyjOICrW1b6NXLxvaZM/IUb90qQdW1q+aHmkJ193IkQ5VqwpQUmHaHJprSUrnNdu+xyf9I\nTVXzuDj5+XbqOjUNhg6reN73JhsxAprU+/bVsaalSTBYlWlOTVP3zNatNVD172dXDjslBbp3h4ED\n5B3pYdjgzDmJsgEDNZh07mxn23t44kno2g0uXIBOhrZxcPc96jdTUiKvnZlpByNGVgioYcNtbffu\nLVHcti3MmGlnGzQBnD0LffrCgw/Z2u7SFbKzYeQomDjJzq5zuqYvXIBhQ209GC5FPVyKinRvduli\nd1+mp+tcOKcxpV9/O09ARlN15I0zcqSd7bRaV4bEJ060OSdlper2vmWL5pm0NHUWrkktLkLIJkJa\nt4ahQ3WzlJaWu4eNQiC9e2lAbd1anpJDhnH2IYO16u3bFxZ9CacMG9/17w8z79Jxv/eebZ7N6NHw\nxBPyCixcaGcX1Fxw/PjyHT0bbG336wcDBmir5THD2hjOadWblaV6IZYhBOf01aSJbQjrenHxoo7d\nerDOzdXnmJVln2+wb58msv79dc1Y8t13Et63jodp0+zseg/z58uD9uRTMMSw0+3ly/DB+/Jc3Hab\nFiFWHDmibduDByt8dZOh7T27FdZr3VoCtlOWjV3vIfuUrumUFI2HTQ088teTIEgi5tZbYfAQuO9+\nudHmzbOZGJyDSRPh4YfVhvuTTxW/tqBOXXjgQa0eW7dWopvV7pi27aBPb3XUzM+Hz+fb5am0a68m\nU7ffDjt32m4bTa8ld/OQwbBypbwClrRpow6mmzfb2gXI6qgV07EIti43aaKVdU2qK1FaIuFgFXZL\n5PAh3Zsd2tvb3rJZXYqtJ5n8fG3zHTkC6tTWtW7F1i1aMN1xp0JYbdva2PUx5Y44p3Fq8GBoahQ2\nPHsG3pkrsXD7NHjoYTtP7qpVsGgxTJoE99wDEydc+29+DgUFygHatw8eeQQGDpL3KFB9qBaCpHYd\nmDxZMcJHH5PyfvMNm10sWVnQoD5MGG8vSho31k14/wNync+ZLe9Asjgn12fjxnDXXbBtmzLvLene\nQ275BZ/bJxaOGhWNl8Q56D8Admy3FzuNm0BGhiYGa5o00Tm23mUTJXFxHYUgOXRI4rK28Q6Y/Muq\n+dJ/gK1dqPCOJIZqLci/rMTKIUOgvbFAW7lSSb73zlK+i1U4JS9PW/ybNZNgSCkfqyxIFCOjRirn\nr1Wr5O3m5MBrf5Nn7smnFJqdOjWarsVREzwkP4OyJHeDxPM7OnSAp36ji/5vryr50gLnohEloOS5\nhx+WgHp3XvLnIpFu3TXBf/GFXI2W3HabVg3W1TKj9JL066fJ/fsItkV3zIpOkEDNCtvEjzUqQdIx\ny97utu0aR6wTFK/2jliyePE/5rtZcPiwEu8nTLAVOsXFMHeOHj/4oHanWHG1GLEiOxtefUUeyt/8\ntkLgWO7YuZ7cyILETB9axpkzM3XhfPyR7d7wuChxQMzYfd4kQ27LtWvsXfO3jpfYsY7lN2wEt03F\nLGcnkVGjdB5Ky2x3UjRsqPOREcFE2b9fNFVJGzeBseOgrtGujET6GW7hTCSqY/YxGDRYYRVrWmTC\n+Am2O6VAobz+/e29I94r4bl79yu3tluQlqrzPGKErV3v5Um8626ob7z7KubtxQio2FzLltoJGcU9\neL2p7qIiGZy3mz1rUIQ8ELhxcM5heB8HAoGfz3WVB845f6J1cvd6m5MO76unrKmBEbRAIBAIBH6d\nVE8pYUMQJIFAIBAI1BBuZEFSLXbZBAI3KlFHUqJqIplIiAYFAtWHKJJanXOvOueynXNbf+x9nXN/\ncs7tdc5tds4NKH+tu3Nuk3NuY/n3HOfcfyv/2bPOuWPlP9vonLvtWv9bECSBak+Uk25hQXTdSQFO\nZds3G0zkyJHobAMcOQo5EZ6fs2ei/Xyvh2ALBK4nEe2yeQ2Y8mM/dM5NBbp477sBvwNeBPDe7/He\nD/TeDwIGA5eBDxP+9I/e+0HlX9csxRkESSBpLl603Q11NSu+td8VFae4RLVYovICnD2j7YxRsWd3\ndLZBW7fPRSSofAw++yy6a6esDFZGeO7LytSgLRCo6XjvvwUu/MSvzADeLP/dNUBj51zLq35nIrDf\ne59YS/sXBZiCIKkmeG9bv+RqduxQ9c0ouHQJPv1U2+ui4Phx+OabaGz7mIpp7doVjf2z51R9+FJu\nNPYtK+1ezZmzOjdnz0Vjf8MGeXiiEJvew4IFKoQVBaWl8N67ErRRUFQE30d0TUK0Y00gWqqoDklb\nILGO9fHy1xK5H5h71Wv/Wh7iecU5d83yeUGQ/AK8r+hsaY1zsGQJHI2gdDmooNHf/qYS5ta0aaNq\nsh98EM1A17iROkJv/dHoZuWJT4ZfLLDvIgyaEMvK1KLd3PbZigk336Cq8dWsWln+PhFM6pcuqSgY\nRBNWWbMWNmzUtWNNSbHKph89atvBOc6Z0/DXl+0qq17N/v2wbHk0tqMcIwOiOhZGc87VAqYD7yW8\n/DzQ2Xs/ADgF/PFadqpMkFy4oIE6Ctavkyvb2hXsHOzbC7PfVntsa7p0VXXaBQtsG+qBOs1mZ8PL\nL8Fe41V1WppEyc6d6kNkXta9XFd/8qm9YItPhnl5FROkJfHJfP0Gm7YCiSR6R/butbV9KRe2lAtA\na0Hi/ZUtC6zv0737VI4d7EqaxyksVD+U/ftVAdW6WOH2bfDXv+p6tOwoDKo4+/FH8PZb0NOwG3ec\no0fg9deiESSxmLy8W7bY2wZ5j3NqSCXlXypAvitcyv+5+O9//6okx4HEmr/tyl+LMxXY4L3/e2lJ\n7/0ZX1Eg6a/ANdtGVp2HxMPzf4FFixRnt6RnT/joI3j+edi4Ue5VK4aPUBfKl16EDz+w9Th06aIq\ntevW6txYCoe6ddUIq7BQjQC/+dp2Zdq+g77v3auePpaCqlH5pFJWBu/Msy3BnjgZbtkMBw07Qntf\nMZnHYgpRWLJnj/qIxB9bsmZ1RWlta0Gya9eVAsryOjx9Bt5/vyInqJGhIMnPV4+teCJx/Jq3oKxU\n7SE++ECCvlcvuz4r3sP27RpTtmxRe442Rg38QNWN570jD+zlyzBwoJ3t4mJVv37uT/DlQnshdeqU\nFoAvvVQz+9r8HIbXHcf/k/Hvf//6CRw/nvPxKfAYgHNuOHDRe5+d8PMHuSpc45xL7EJ0N7D9Wsda\nZR9BRlMYM1aK/btVWm0MHKQut+lJln5u0BAmTlRL788+1eQ7dCjcfHPyJZrT02HcOPj8c4UpduxQ\nf5xx45J3sToHw4bD/M/k0v7oI7jjDujdJzm7cfr0rZi4TpyAkyfUWdiCDu0hnj/Yvr1CCFYlvBs3\nUnOw/HwYP9524Ih5Df579qgDcqur07SSoKAQJk+CVd/BTTfpywrvdS5WrNDz4cPtbIPKpBcXw4mT\n0KePxKBV74+sLHX4XrVKnjXLHJK6dWDMaFjyFdSpYxuyyb+sa/vkST237FZ89CicThje+/S1s71p\nEyz6smKRMNyonHysTAvKtWsrBOD48TbXyeXLsGaNvN3xUOp999k0ZCwsUN+jTRsrPsuHHrYvhR8V\nUYRdnHNzgHFAM+fcEeBZIB3w3vuXvfcLnHO3O+f2oZ00Tyb8bT2U0PrMVWb/V/n24BhwCO3O+Umq\nNIekXz/oW37jHT0KK7+tuECSZdCgiqZSeXka9Kx6qgwcVNHevFYtGDDQLt7br58m35QU9W3pbOi2\n7dFDg3RmpiZ3iy6acdq3hwED1Dr9yBH19rEioyk8+qj6n3z/PTQwHDgymqgbaseOcsNb9rqoV1dd\nXJs2VZPIRoaTo3NXrtAtV+ugifz8BeVIjBxh24isXj21gO/SRQ3a6hh2/W3YEHbukpf0/vttPSRN\nm6oxYNeuauDXuo2d7TZtITdX92T9+tCpk53t7t3lIU1JUR+aHkZehpRUeUPi10bbttDLqLFherpy\ndeJipEcP6NnLxvbRY1fONUOHQrduNravB1HkkHjvH/Let/He1/bed/Dev+a9f8l7/3LC7/yr976r\n976/935jwuv53vtM733uVTYf8973894P8N7PvMqj8oNUqSBxDqZNU5w3JUXhj+zTNlswXQrccafs\nNmsGq7+DY8eu/Xc/h3h3zq5dNTm+/RbkGtVqqFVLN8jjj2uV8P57drtXateGBx6AWffB6dPwzVIb\nuwD16sPt02DKbeo0umunne1GDaF1Kxg2VK5+yxBCrXRdI127SZBEkdfUrKld1+rryblzOnZrigq1\nAOnWDVLTbD1ex45pV9awYZDVEWobdqPduFHhiSlTYOZdtse9cKHu9wcehFmz7ARgSYkScAEefkTn\nJcVo1D9/DmbPhubNFQaaONEup+bgQYU4mzWTOJl6u41tH5MQycnRecjMhImTkrd7PamOSa1WVPku\nmzp11TnyltH6+mKBwjjxhLdkaNFCg8czv9MK+K23lDRmQa/esv3447pRXn/dTpTcMho6dNTq8fBh\nxTit6mR0zNJNOGWKVgmWORO1aslTctNNShC13mbco6e8DGvX2doF6NZVLu1jEexyato0uu2nUVFa\npkG7aQSC5MAB5Y106Wpve81adXbtaOwxKizQ1vObh0LzTNsO1jt3Knxw551anHXMsrHrYxpLz55V\nSKJzZxhyzbTCn8f5cxrz6teHxx7T4i/LyKuzfp1EVO/e8MwzMHmyTXJyYQG88w4s/UY2bx4K99xj\n+1kGkqPKBQlILIwapbjyQw8pnv/qKzaD+NBhUtj33a923B98oIk42QneOQ1MDRvZi5K/u0DbSaxt\n2ADffZe83UQGD5Eb9KMPoSDf1vaEiQqTfWe81TU1BYberJi49S6kZs2hSRPt0LCmaTMlE+dHsK04\nKi5e1D3SNIJtrXv3KXekfn1bu7m5yukaNtR+98uy5Tof48ba2r2Uozy3AQPtcsXifPW1Qpz3369F\nCNh4Xq4WI3XrVdhPBh+DJYuVnzd6DMyYqXzCwUOSt33qFLz8snLnHn8cRoxUvktLw7D19SJ4SH4G\nydafSC93rXbrLlWckqK9+MeNwiwpKTB1qpTxkiVKdLUiUZS88YZin1b07i2X4uJFCilY4RzcOV2D\n7Bdf2NkFrWZGjoJvV8gNbcmgQVpdW2//c05hm33G22ehwstwvgZ5SeLHau0h8V7nuGsEMfsNGxSW\ntEweBrhwXjs9xo2zzTECVaqtVw+mXrPLxy9jx3YtvO64Azp1trObn/+PYsSKzz/Xwmv6dC1OrUTl\n/v1a4DZsWO4tz9Lr6YbhvOvJjSxInLermW1ab7GkRBPaqFvsL5ydO7Qattz6BvKO7N2nSdMS72Hj\nBiW81jIHK6/xAAAgAElEQVQ+F0cO261wEikuhgP7FWaxXq3u368EOstkSNAkXFqmUJ8lZTHlTLRu\nbZvTANoyn9nCYXgfA/LonMpWHoYl3mu1Wq+efY2Q/HzloHXKsrXrYxWJspbJvaAVu8M2QRYUntj1\nve0WXNDnt24d3NTXXpwdjCiUV5CvnUC3jLb//PiFpdGTfjPn/O7uyd3rPfY4vK+e0qTaCpJAIPDz\ncM5ekAQCgZ9FECSG3KClYAKBQCAQuPGonlLChiBIAoFAIBCoIQRBEggEKkVZqWptREWx8W6jHyLq\n/yEQCPx8bmRBUi22/QYCP0YUrekTOWq0i+vHWL9BhcCiYp/hzqsfIjc3mi7LcbyP/jOI+hoKBK4n\nN/IumyBIAklRUmLbvPBqduyItqjY9u3aQREVp05GU8gtzp7d0dkG9Zs5czY6+xs2qlBaVJw8ad8J\nOZHi4ui6lgcCvzaCIPkVcPZsdKIhNQU+eB8u50Vjv349ePMtuJgTjf20NNWCuJR77d+tDBcuqHlk\nFKGVWCzayfZynqpmXjTsaJ3I2XPw5ZfRdVk9cxbeetu2wV4iORfhk4/tSrFfTXGxaqAEAokED0kA\nsG2TfjX798GZ09HYTo0XmTtubzslVcWo/vpXyD5lb79FS5Uwf+stVX+1Ji1NDbw+/jga1/7Fi7K/\nbr297ePHVXsDovEirfpOQvbiRXvbZWXw4YfysEUhSC5chDff1Llv3tze/tGjuuYbNbavswNw6CC8\n8le7jtlXc+KE2lJERZRj5a+dIEhqEDkX9RUFhw6pmuC5CFzYrVrD3/4Gn36ictKWZDRVIbhXX1Fp\nZuseM917SDS8+qpKVVvSoL6KaJ07p9VugXH59fhkeOCAiidZUlYGl8pbCXy3yraCL1wZrrEO3eRf\nhnXl5yMKQbJsuSZFsBckubkSI7m5as5mbX/LZnjjdVUhtuqcG6eoCD6fr4rPbduqaaUl58/Lozl3\njgr1WZOdDZ98olBlFJw/B3kReTNrCkGQGFNaCouXKH5svept0FD9at54HTYb9zzp3FlV//78Z93Q\nBw/aNb2rXx9GjFCflueek3CwnHyHDtOxrlwJL71k20SuSxdVQCwpgXnvwIoVducF1CwNNNi9+57e\nx4q0hMqNu3bZhoYu5VRUhszIUBM1S44eVbdpkFi2ZNu2iuq9xcW2iblnzlyZN5JmWD2zsBDemadQ\nGVRcOxbEYmoa+fHHEpt16kCH9nb2DxyAF56H9eXetKHD7GxfzlOTzr/8WXlTY8faVcD2Mdi7B956\nE158QQLQsgp2QYHOyd9eVZsL6x5IOTnK8/rmm+DZqWqqZDNfWprKq7/yiuL37dpBj+5abWRmJucC\nTU2Fu+/WpBv3aPTqBf37Q+cuybtXb5uq0uV79uirVSuYdof+h2QZPkKr9MuXJRyOH4d7Z9ncgJ07\ny3V99qwG60OHdexpBp0ua9eGTp1g3z4N0p07aZByRhNNi0yt7AoKYNa9tt0502vDmNGwfAVMngRN\nLMuZO/jdPylc1q+/vqzwXt2gP/hAz++62842aDIsLFRI6P4HJAJrG5Xqz8yEsWNg9hxNjJafZ506\nukb+9Jx6l7QwbIkQi0G3buprU1oK3bsrZGlBUZFCKHGPWvv2dh6MnBx4d16FR6ppUxho1N7i4AEJ\nnbPlXuNGjWDihOTt+hjs2Qtbt8Du3RKADRrAP/0XcEkuo+PtC3bvhu9363HDhvDM09HlA1lS3b0c\nyVBlp79ZU7hvli6AY8fUmXLJVzbN2JpkqEETaODYvVurAYtYb4MGMGVKxfOGDaGtUR+K9HQ18IrT\ntp3CFRY4p3bbGRm6IYuLbMRInB491ASwtBR277EbqEFdUJ9+WmLTuuvxgP5q5NWkCeww9mBkZEgE\nZmYqP8gy18C5KwWCdV8f5+TJyMyUcG3Q0Nb+jp2acG8dZx/2WLGiYoLpatgXJS1N3oW0NBh3q+1x\np6fLW5yWph4/lt6RRg31GcaZMMGup0uHDlC3bsXzadNshKtLUe5bXIwA3H2PzeIsJwe+XARLl0mM\npKXBgw/omqkJhJBNRHTqdGWXyzNnlHlvQa/eMORmXWzeK5vfardA/wE69u7d5S159127/ICBgxQC\nmTFD3Tq/+sou/NG/P9w+TV8rVsA2w/oS/frByJEwYaKaIsZXYxZ07KBckhEjYM3aikROC1JTNfn2\n7q0txlG0hMnM1LVd04gLEmtKy5Rr1KePnls2PLt4ETZthtGjNXm1NQwdHDgAG9bD1Ntlv5thx+K1\na9RA86671JW8Vy8buz4G8+fD5s3ytnbtqrHRgsICmD1bk3qXLvo8uxuJtDNnFB5LS9P9OWasxlwL\nTp+5Mgl85kxoY9zcMEpuZEFS5fUXb74ZTp/WavLAQbW2HjZUKj7ZGOeUyVLZgwbD++8pjDNjprp2\nJoNzcOed6iY4IgfmzdNxP/hg8ivJ1FSYNatilfHJJ/o+YULyK+zatStWjGdOy3ZGU5twU3r5boBh\nQ2HXTm2HfOYZ2wqfQ4fKQ/LddzoflvTprZobJ07YTmIAmS2i3Z4bBWVlcsOPGGlv++ABhYP6GE2M\nicS9IwMG2NotKlLCeY8ecNNNuhdTjHIw9u3VgunWW+3EAlwpRmbNgp69oKtB2BoU9p0zW5/jE09q\nnK3fIHm7AFu2KLE3M1Mhz1WrFOJLloJCnefNmyWemjcHPPTtk7ztgA3VImJ2221aYT/8EMyYDpu3\nwAsvKs8hGdJqweQpaif/26clROa9A18uVDnsZMhoqlhsVif4zW+V3/DKK3A6Ozm7UCFGBgyMxlMC\nMHmyVhzvzJUL0wqXomM+f147KSypUzsaLwlohRRF2AY0sF6+rJ0rNYUL55UzYZmDEScersnIsLWb\n6B2xTJQFWLxIouSOO2xDb2fOwPvva4IcbTDpxvkhMQI24ZRjx7RjLyUFfvtb3TstW1UkWFeWkmIt\nkj7+SDmGTz2la2Tq1ORDwHv2wvPPK+/vvlnKMxo8GMaOS85uVXAje0jMBElZEtnJqam6mJ2DgQPh\nn/9Z2/Vef107CZIhnqSUni7vyIwZythevDg5u4k0by5R0qiRXJiWRcgSRclBw4qWKalwz72K/37z\ntZ1dgKbNFLpZu0ZuXUuGDtX1stt4m2s8bJPs9fZDtMjUMV+IYPusZbgjkYvlO4SaGwsS73WO+0Sw\nKt2xMxrvyKUcTexTb7fPpVm8SOPH9Bm2QmfHjn8UIxYUFsLstyUon3oKGjexsz1/vryr992vzQNx\n72qyiaZ79sCcOcp3+Zd/0X0Oyq1JqeYT9A9xIwsS5+2W3abRd++1a6NrV/vCQ6dPQ7269oNLaYlW\nPK0jiEeePKnENOtzkZMjUWK1BTCOj6n6aWPLXSvl5F1WTok1xcXyqlkPUt7rfFgm+ibinMPwPv47\nsbJojrksppBQumFSdZyoro2LF3UtW99/BQUVO0gs8V6FCltFUGvk+DEJEutrI75V29pzVhbTYs4y\nwTmB6zrFO+f8+sHJ3etDNji8r57SpNoKkkAg8POISpAEAoFrEgSJIVWe1BoIBAKBQODnUT2lhA1B\nkAQCgUAgUEO4kQVJtdhlEwjcqBQY7wa6mtxL0dqH6P+HQCDw87mRk1qDIAn8ajl7Vj0+omTJkmjt\n794TrX0fi/5/uHjBdut5IHAjEwRJIFAFnMrW7qKoiMXgvfcqSlNb4722Xh48GI19sO/yezU7d2nb\nZFSUFKuwYFTbl0H1jM4bVWkOBALREQTJDU6Umy+8V32UYsOOyok0zYA334puQm9QXw3NLGvSJFJY\nINHz1ZJoPoeS4opzE0WX0rIy+Lq8v1QU9r1X7YnsbLueTVez63s1IGxiWC8jkYJ8+/5KVxM2UAUS\nCR6SQKQUFUU36FzKhYVfqnGXNc7puF98EY4esbefnq6iUW/Php0RVFCtW1f/w5rVsNWwr0+c+Dk/\nfly9W6w5cLCiCN/x4/b2N29WxV3vo8kjWbtG571evWi6rG7YqD5TbdtGUwBr/z544QWobVzDJ87F\nHPjiC5U8jwIfi24xEYiOIEgCFBSoZHIUwqG0FN56EzZssGvSF6dxIx3zf/4JvvkGCo0HoAEDFf9/\n7TV5ApItyX81nbK0Un/3PVXYtcSlVHQP/exT+/BQogj8+isVGrMkMVxjHbopKYZlSyueWwvaQ4fU\nVwRsOrgm4j0sXwGffabHWVm29kuKYcHn8PbbWkz07WtrPz9f3Wifew7q1VcRR0uKCiXCZ8+2tRvH\nx+DIYRUaDNhzIwuSKtn2e/6CbjLrluk+BitXqtpm1y7QrLldZcW6dbVi/KC870SfvnaVU+vXV1+F\n99+HJYvV8XfozdDEqGLhmNGwaZN6y6xbr0ZVg4fY9Pto0ECdSXfsgG+/VXXdu+6CFi2Ttw3qt7N8\nhR5/s1Tvl2xzxETq19dk26iRGuBZVsPNy1Oo4OJFHfPpM1e2gU8G7xVGiXfjtRaaJ0/pOl+9Wv9D\nXh4YfaTEyuDAfn2Wubn2gmTzlivDKFZdYkGeqI8+rOgW269/RWPJZCkugTVrdB8VFem8jBhuYxvg\n7BlYu1bN64qL4dHH7I7de1Vw3b4Ddu7QQqVDRxvbcfuns9VdPTVNLSSsq+bmF8hjFFV4L3BtqkSQ\npKXCX8ubM7VrV/GVmZmca9WlaGJ/9VU10GvUSG2xO3eBzp2Tj1Pfdhu89jeJnpUr1Vzvpn5wyy1q\nk50MvftArx2waxd8t0ormGl3qMlUstSvD6NGyUOSnw/btqshVvv2ydsGnfMdO/S4bTvbG7pde6hV\nS52KO3a0FSOg1XOnThKbI0bYDnJt26nfxx//qMHZSoyAjnPGTHVcBZg2zc42qO/HhQu6R3/3T+ph\nYkVKKgwfoS6uY8Yk1wfrhxjQX6Ggs2flXbNsENismcqmxwXJkMF2to8dhe3bJUYAxo2zaengvcaU\nxFypQYM1JiZLcZEWDDu2S3iD7I4bl7ztvDwJ1/374cABPW/TBh5/Ivn7tCymFiLHjlV81aoFjz2W\n/HFHTXX3ciRDlYRsGjWCRx+FkhKt3D/7TLHYpUuTD4nUrQcPP6JJ+NIl2V+31qbhXVoa3HefvCWg\n+HpmZvJiBHSD3T6twnb9+op9WzFiuGzWqaPBNM2wj0hWJw3Sg4fA5k3q52NFrTS4+y648w6Jnv2G\nDQZB3aBHjtQkYJ2n0rQpNGyk6/3EicrZyMrKon///gwcOJChQ4faHuA1OHlCnbLr1LFfNW7ZIrEz\nchSMH29re8cOJfvOulfXjaXIPH5c9ocNl0BuaSgyU9M0ptSpo2tn0EAbu85B+w4VY0ujRjB5ko3t\n9NrQpHGFGGnUCO65xyYnqLhYnq6tWyu8jQ8+lLxIi8UULnzpJfj884pr8dFH7MNjURBFyMY596pz\nLts596PZdM65Pznn9jrnNjvnBia8fsg5t8U5t8k5tzbh9Qzn3CLn3G7n3JfOuWt2NquyHJImjeHx\nx3QBx8m9BLkGseqMDHjoISlekPpdu9YmP6NxE7j7Hj1u3lzu2zWrbXJLGjRQR9Fu3fQ//O1Vu662\n6elw6zj47W+gZUt480255S1wDh54AG6/XYP0vHmQl2tjGxQS6tEDuneHBQug1DAXIyVFoqFHD9i4\nwc5uIm3aaHKvDCkpKSxdupRNmzaxdu3aa/+BISdORNMo0nud65tukufLMqG1qEj5FwMGyMvTy7DT\n7YXz8P576hY7ZQrcfbed7cNHlJPSubMWaxMm2G2F3roV3nhdC5yOHWH6dKhtEC6PxWD5Mt2TzZvr\nc5x1n/JekqWwEFZ/B6fKx6i6dbXQtGhCmJOjnWNxmjWTZ8Q6dBgVEeWQvAZM+bEfOuemAl28992A\n3wEvJPw4Bozz3g/03ieumv4HsMR73wP4Gvif1/rfqjSpNSMDHn9cF9mY0Vr9PveccgWKkhQPbdrC\nvbNgyM1aBa9bC88/D/v2Jn/cXbtqwHjmdwqFfPmlXOcWiX99+8LkyYrv9u4N78zV1loLwTN4sAaO\nhx60FyWNGmtAuvdeDaTvvWef4HrbbVqJrV5taxd0bo4ckRvXmtatK58w670nFsWe22sQi2kyaBOB\nIDlyWOGUwYbhjjjLlmtlPXGird3iYnjnHXX8nT5DIryRUSfrRDEyaxa0aQ29DYSUL99y/tGHcPPN\n8i7ccQd0Meh6m3NRImfZMpg4CZ58Uvdnu3ZJHrNXDspf/qzw1YwZ0K8fPPCgxq5kKCiQWP3zX3Q/\njhxZPgc9Bg2Nuy3XNLz33wI/Va1nBvBm+e+uARo75+JpZY4f1hIzgDfKH78BzLzWcVR5L5tmTSVK\n6taFW0Zrsvn2W+04ufVWGDig8iuo7t2hfTuFcXr1hIULlVnep49ungYNK3/co27RoHTreOWofPQh\nvPiCbqBu3Stv1zloXh7znj5DIaHFixUGuePO5MJDcdd1erpEyZy5EiWPPQatjVzPdevJW/Lqq9pu\nbJnb0DRD+TrLlsFNfTU5WNG5i+xt3AC3TbWzC/IyXPpGVWHr/8KBzznHpEmTSE1N5ZlnnuHpp5+2\nPbgf4dxZhVTbRNC+fsMGibQ2hiFJUNLw6tXyXjQwXO16D59+ohDwM8/Y5HXEuVqMWCSag3I7PvpI\nRe3unF6Ri9bcIJ9m+3aY/xk0bAi/fVqfJWjxlwwXL8jbsncv9O8PkybLa9Gjh8aVylJaBuvWadxw\nDiZN1LHmXlJybKKXviZQRTkkbYGjCc+Pl7+WDXhgsXOuDHjZe//X8t9p4b3PBvDen3LOtbjWm5gJ\nkpivfEJqZoLyHTNasdOlyxTfa9smuWTA+IXcqDHcdz/s/l4X/dp1ycWuE+PSHTvCP/2TjnfxYiXS\nphgMLM4pxt68OXz8sbLMrQbxRFGya6edIAHF1WfMkLAsLrLL5Ae4ZZQGrLNnbQVJSgoMHRZNCfM2\nrTXhFBb+ckGycuVKWrduzZkzZ5g0aRK9evXilltuqbBtPKnHKSlVsq/Vbqk43utc35zk5PVDnD2j\nFfqQIbZ28/NVvO3eWZDR1Nb2tm32YgTg2HF5/B59zHbbc0mxdgL27SvhVytBnCWbq7NypfLbHnsM\nOiUk3CYjRkDnYckSGDYURo+uyKXJMNrFeL2phkmto7z3J51zmUiY7Cr3uFzNNf38ztsV1jCv0JGb\nKxVuTXGRduTUMkzsBA22hYUVF7wlRUWKt1tTUqqB0HoLHWh7p4Uwuxrvozne6s4f/vAHGjZsyO9/\n//srXnfO8eyzz/79+bhx4xhnsc2hBhLVtRHVtRyLaTFnKUbiRDVmFBRENMYVKtxrmXAfJ6q5BIUr\nrhvOOf/NuF821W6+sJTNF5f+/fkbh/+A9/8oa5xzHYHPvPf9fuBnLwLfeO/nlT//Hhgb94Ak/N6z\nQK73/o/OuV0otyTbOdeq/O9/MhhZrQVJIPBrJj8/n1gsRoMGDbh8+TKTJ0/m2WefZfLkyVf8nnMO\nw/s4EAj8fKq9ILmaW5e6HxMkWUiQ3PQDP7sd+Bfv/TTn3HDg/3rvhzvn6gEp3vs851x9YBHwB+/9\nIufcfwDnvff/4Zz7NyDDe/8/furYqjyHJBAI/DDZ2dncddddOOcoLS3l4Ycf/gcxEggEfl1EEbJx\nzs0BxgHNnHNHgGeBdMB771/23i9wzt3unNsHXAaeLP/TlsBHzjmP9MRs7/2i8p/9B/Cuc+4p4DBw\n3zWPI3hIAoGaTfCQBAJVxnX3kHw1Prl7fcLXP+whqQ6EXjaBQEREkSB7NdnZ1/6dZPEeLl2H/yUQ\nCFybG7mXTRAkgV8leZevLI4UBbt3a0dQ1O8RNdu2wpGj1/69ZLiYU1EyPRAI/DhBkAQC15ncS+pD\nEhW102H2HNseLVdTXAwLv7BpW/BjWHf5vZqiQm1lt+5CnUheHrz7rm19j6spLVEdmEAgUH0JgiRQ\nKWJe3TGjwjl4842KHhnW1KolMTJnrrqsRkFxsXqTJHaetSQvT71VIDrBsHSZ3ieqVvIFBfDW26pN\nEtVW7rNnVADQept/Ivn5NtWUA4FrETwkgRpJcVF0E1WKg2++VqfPKCarBg21Yn7pRXVAjoKWLVU0\nad68aLwY8fOyYnk0+SSJ4aADB+3tnz6tPk0QzWdcVCwvVXY2tLxmDcfKsXkzvPyyimBZFuiLU1gI\nX30Fq76LTlAVFcrDEwhAECSBCCkpURMzH0G7krRa8P77qkx7OoLkx5Ej1aH5T8/B+g32beT799eA\n/+688qZ6xoNyvC39/v3wwYf2xx+fxEtKYPGin/7dypAYrrEO3XivcFN81W8tSEpK1Rvm2DE9b2Es\nSIqL1M7hk491/vv3t7VfWirP13/+CdasVTdta04ch08/VQXo1AgKNMRicPxYtKHRgD03siC5oeqQ\nlJYm1+vlx/BeK63UVOjQXh1/rVZDtWppMnlnLnTvob4NnbJsqhWmpKgvy4svqLlg+/YweIia9lm4\nrzMy4OYhGpDnz9cAPWG8OqxanJ8ePVVpsqgINqxXs77bp9l1QU0si964EZw/p95BVsTK1GE1NxcG\nDZagsqpC6b1KjheUh82sm+AVFcGYMRLLmZma1C05c0bXz8Fyz45lifqSEk3kO3fqecOGkNXJxnbM\nK8n3628qvF63jrPrFFtcBNu263o/eRLq1YN//me78aa4GA4cUAuNPXtg7Fhom2RDvES8V5jy6BFd\n63372tlOJKqxPlC1XPePtKxUzbVqpUNGE2iSoeZGFi3IL1yAjz6GOnW04mrZQt8zW0B6EhOBcxIK\nb7wOH53WANehgyb4zl2Sn8TGjtUAvWG9vmrVUmPA26dpQEqGjAyYcht89ikcPaoVaXa2uqFanPMx\nY2DTZg10BQW2/SFq1ZJ42rZNz4cOsxMjoGtjxHDYuUuTmKUYAXVBPXlSnaAzm9uWxHYObh5aEbYZ\nbNy/pU4d9RApKoKpU+0628Zp01rXS8uWElOWHpJatXSt7NypSatfP5trHVR0okmTCiFYvz4MH2Fj\nu7QUFi3S+Bhn+vRf3v/oh7h0CRZ8Lm9gPDw5eLCuoWQ5dQoOHlD48+hR7V5r3x4eeSR520VFapp4\nOlshxOzT8ujccw80Mbgmy8q0pf3iRbhwUZ7qgYPsrpcoqO5ejmS47oIkNQ26dVPX3XPn9FpKim7y\nmTOhfYfK287MVJOqN9/UKiDOwIFwR5Ir63r14NFH4bXXtALYsUOrx14GbcJdCsyYKbunTmlybNLE\nrl/EwIEVKyLvoVaaXTWf+vVh1EhN6ufPK6fk3nvshEP//hIly5bB++/B00/b5QI0ayrR0Ky5QkKj\nR+u8W9GggTxqzsGhw3DTPxRkrt4cOqQ8nlat7Pu4nDql3KD77oPu3WxXu/mX4YP3oWtXuKmfRI8V\nJaWwbLnGrObN1bCtttHuIOeuvG8GDJSX0IIGDaBe/QoxkpUFU2+38bzUqgWrVin5GXS9PPRQ8vdp\nSQl8kuDpAn2Wjz6i/ycZ9u2Dz+fLyxUPS7ZuDQ8+VL3FCNzYgqRKTn1GU/jNbyu6UMZi5Uo1V27u\npGw3gaeevHK1e+6c2nwnmwXfoKE6UTZurBv5wgW1+D51Mjm7oIH/gQc1wbdrp86Xs9+GHINdJs6p\nBXn79jBtmrrwzp0LhUa7ZIaPUOfPhx7Sjf7+B3Zx6Q4doUtXuPderbw+/9xuN0NKCqSmwIAB8nqt\nWGFjN5HadeQBOHTI3nbUHD6kTtZRNJVbtlyTS8+etmLEx9QZG7TA6dvXzvtSXKK8lxMn4LFHdc0P\nGmRj+3IevPUmbNwId9+tyfG2KTa2z56F11+DLZsVQmzSRAs3i0XD0aPK1YmLkebN4ZFHoU6Siynv\ntai8cKHitXbt4InHkxcjZaU63yUlFWNJjx7wxJORNeAz5UbOIanS0vFlpfDZZ7Bli0IUe/Zosh82\nHAYN1GBeWfLz4e3Z0KqlXHEHDyrMMm6s2qonszI4f04r6jFj4cuFGqAGDYJbxyd/sxw9qh0ssRh8\n8onyDyaXD3zJrmby8nR8R44oUbR2bXjgAYW0rDh4CObM0erU0lMCyrWZO1du7IFGE0Gc9Rv0mf63\n/2rrJQHV8dj9Pfzrf7W1CwoHPfyIfel4H4P//b9h1C0wapSpaU6dghdfknekt4GHMZGV32rXyxNP\n6n634moxYpmzc+K4dnqlpMD990Or1hX3ajLEYrB6tXbDNWsmgZZfILvJirScHFiyGLZvl2idMgUW\nLtTCoWGjytv1XvPA0mUKd3bvrnEqL09jVTLeqPx8hcTXrtXipmtXhTyHDYfJkyvtGbmuU7xzzn9+\ne3L3+rQF1bd0vJkg8R5fmQnTe22LHDlSF/nqNVLyzmkSvuWWysdQi4rg7Dlo20Yu82XLKoTJxAnJ\nDVjxFtw+Blu2wldLlEcxZgyMHGXjCi0pga+/htXfKYFx5szkbvZELl2SKDlzBu66WytVK6IUJYsX\naUD57dO2rvjSMnjuOejaBe68084uaNCbMxt+/3u7zy9OVIIkO1vJ0L99WqtqS+a9q/De734n8W3F\nkSPyBEyYICFlRUkJzI1IjGzZovyuDh3g3lnJ54zFuXBe3tvjx2H0GBh9i81OnbIyWL4cVq2UsJk0\nuSKJPT4mVpZ9+yUm40Jk7FiN3UePSqTVquTxX8pRKHlL+caEQYMVaktJUdhw6LDKHzNVIEjmT0vu\nXr/j8+orSMycpZWdgJ2TpwEUy582DcbfqsSujRuTG1hq19YFDZDVEbIeqxAm588nJ0jiN54rd/n3\n7gXfrtTqz3IHzpQpsr14sW1ss1EjrSK/WGC/5bhTlsI3O3fo/FgyfoLqV1hX9UxLhSmTtYvCmg4d\ndNxRhD6sQgZXU7cO3HortG5lb7tbN2jU0FaMgI755qFa3FjiUnS/TJxgv5uprFQT4kTr68NpHHr6\naU3mVqSkwMkTMHYcDB92ZaJ2sjlvp7MVMrnjjopxGxRqToaSUjiwHyZMVD5d7YTcliTFSJVQPaWE\nDY8EOdMAACAASURBVNW626/30RUbisp2lMccCPwQodtv4HpSE8fOCG1fdw/Jp3cmd69P/6z6ekiq\ndT5xlBN7VLaDGAkEAjcyNXHsDONyzSCUlgkEAoFAoIZQPX0bNgRBEgjUYJLdJh8IBGoWN7IgqdYh\nm0CgpnLpkn1vnB/i8OHo3wOUGJh3+fq8VyAQ+HFu5DokQZAEfnXEroNQOH9eBeiiZvee6N8DYMkS\nVUCNmuvx2QQCNZkgSAKBG4i9e2Hf3mjfIzVNnZCPHY/uPby37/L7Q+zbD2vWRNNxNpEdO1RLJBAI\n/DoJgiRQ7ThxXJ1xo6J9e1XdXP2dXRn6q0lLk+0PP1TBvCg4d7aitPblvGjeIz+/ohR7VN1VfQy+\n+QY+/QTaGRdhS6S4yKbNQyBQlQQPSSCQQGlpdJMsqBDVn/8MmzdH48KvV099Mb78Uq0Lykrt3yM+\neZ8/D18usrcPV4Zr9kTg8fEePptf0ackCkFSXAzvvQfLl0GXLrYdkeOUlcG6tfCXvyTXjuJaFBaG\nJONA9NzIgiTssrlBKS0t7+wbwQCfmgrzP9Pj/v3VJNGyImvr1qpu+snH8N0qVVjs1s22lkCPHkoI\n3bRRnob77ldjQysSJ+9Nm3T8PXvY2QfYu6fiffbsVhVKSzZvht0JISFrQZKTA+/MVXVj0Gdiifeq\nFvz11xKGw4ZBRobte8TKYP8B2LpF3XSnTrW1H6eoWNWELdswBGom1V1UJEMQJFWI98oxaNwYGjaw\nnXBTUmH+fHU6zspSQ8F2bW0mFedgym3w0ovqxdGoEfTrL3HSvHny9kFly3fsgNOnYe4crZ7vuTf5\n8tRxuveAReWei7Q09fQxFSSp6gFz7pz6iGRl2dkGXTtTblPjNFAPJWt69VIvqK1boU4d/U+WnDld\ncT06J9FmRW6uejUdO6bn6enq6WJF9inYvAW2bVWjtsxMlWm3orhEPVwOHVRvqA4dYNJEO/uga+jS\nJXnArPsVBQKV4YYRJLEyrbjq1lWvAssV++nTsGGj+iw0biQB0aixnqcm8T7OqZ/HCy/oeYsW+mrZ\nAtq2S66PSIqDabfDO/PUu2fZMg3+WVlw5x36H5Khbl0JhNf+pkHt2xVyWU+aCOm1r/331yKjKQy5\nGdau0fP+/e3ECKj7aevWElNHjtgJqTh16sKjj8AXC2HHTvuOuc7p+OO0Nu6xArqPdu6Evn11/Ja9\nlECfQXY29O6tXJV6hoKwYUPoe1OFIBk5yk5wFuTDqlUSaqD7atYsqGXQX+nsWZj/ucRIWXn456ab\nYOLE5Bcsx44rP+v0acg+re/p6WoYmCylZZB7CXIuqZldziXlNQ0dBk0NvVKxGBQVaqxp0sS+V1ZN\nIHhIDDlzVrsPysp0I6elaeVVu7ZWebUrOZmlpMKRo/D5fIUr6tTRV926agTVvXvlj7lFC+jSGd7/\n4Mrcia5d4f77kguLtG0LTzwBb72lEMLhwzrm3/ym8jbjpKbCrHvhzbc0MJeWagCymtjbt1fTuK+W\n6Pmpk+r4aSFIAMaMhv379D4ff6xro7uhW39WeXfV55+HBZ/DrPsMGyOm6atPb5gzFy5chIwmNrav\nFydPKmm2T29oYCgWQImsn36qSeWuuzWZWbJ1C3y5EIYOhX37YMRwO9uX8yvCTABTb4fMFja2GzTQ\nfRsXI126wIwZNo0IU1Jg8RJ1LwaFrx57NPkwVmEhzJ4jERWnbl24//7kxcjWrUo+LyzU2FJYqHFg\n5l1atFSWy/laRJWUSEyVluqrVi0YP75636s3siC57voys7k+8Nxc2L5dcer1G6Soy5JMCOvfX+3S\nmzXTxXvhgmLH+ZeVYZ8M3btLJDRJuFDz82HnLl3IydCyBTz1ZIXtggKYN0/nJ9mkzvR0dd7NzISW\nLTU4/+V5HbfFDpNRIzVoPvGEBosXX7wy7yAZ6jfQsU+fDv366ZxYbnPNaKokxzunqw35jh12tuN0\n7lLhaahp7NgpT1oU7vx16yW+Z8zQoiSZyeVqtm6RgB0+HG6bCg8/bCeSt26Fl1+SaHj4YXmPLHJ3\nvFcI6Lk/w4kT8ti1basFT7KhsrIy5TG9916FGMnMhCefTF6MFJfoOilKGF/j4ausjsnZLizQuH3m\njMbywkJ5BX/3O+jZMznbsZgWx+s3aA7avl3/w8SJ1VuMwI2d1Fpl3X7LYrBiOSxbrlWpc7pIOneW\nC7dXT61eK0NxkXZPbN+um/rkSQ0gffpA/wHQsUPlXX15lzUxgtzCu3bpOIcMgSGD9VpluXRJ3oyZ\nM+G77zRBZmbC2DE6J8m4zHMuweFDkNUJFi+GbdskJKZOhebNKm8XNHDUqavz/vnnGrRHjIQJE+yS\n8OIr6q1btfKy9JSAbH+/C/75X7RKteSjjzWoPmOYYxBnzmx4+BH7br/ew5+e08A/ZbKpaS6cV5hy\n6DBNAJYkipFJk+08XiUlsPAL2LhRXpdJk3U/lhQnv3Pn1ClY8IVCh4MH6b7Z9X1yYyBIiGzdCstX\nwMWLWrD17ycvySMPJ2f74kVYt06h7OJiCbPTp3Xv3HuPvNOVIRaDAwdgy2aNrSAP9cmTMHgI3Dal\n8juxcvNg104JqMOHJYTLyvQ5TpwAw4ZXyhN13bv9vnN/cvf6A/Oqb7ffKhMkcY4eg4ULFW/fvUcr\nyX37KsTJnXdCk0rkO3gPG9ZD06bQshVs3yYlfOqUPBGTJmuSrwylpbBnj/7+Yg6sL78xi4pg4AAd\nc2W5fFk3c2qqbvBlyyuEyYMP2sVjDx6CBQvkQZo2DQYZ7dDwXud5wecSg48/bhfnTRQlTz2lPBsr\nigoVusnKUgjBkj17FLb57//dfvUVlSA5cRJefhl++xttkbZk9tvK93rmd7Y7d/bvg9mz7cVIaSm8\n8ldNwtNnVH7c+CFWrZJAaN1aOV9W3qjsbOWPxYXImNEaC4uKdY/WqaTHKObhgw80Ttevr4XY4MFK\nyt++Q4nQlc2r27RJSdq5ubrm+g+Avn0kUMrK4KZ+lbN75ozycuIipHt3fYZdusAbb8BdM+U9riTX\nXZDMfSC5e/3Bd4Ig+UmKiiG9VsUAUlgocbJ7N9x1l2LxlT4of+XAdOqU1Hf3Htp5YkVJibwOBQX2\nCYynT8P69TBliu22v7IyWLNW5yGZBNof4nQ2nDylwdASH5P4GzjQfgvksWMaWBsbi4bSMrnh27Wz\nyQVI5MIFaNrUXpDEYsrJ6tjBvnX7ubPqjdPK+JorKZFYHTTI/pjXr1cemWVoCeDQYZ2PgYNsr42i\nYpX7HzFcQsSSb76BZs01qVvuvPr+e92DA/pD88yK168ew38p+fkSJL17Q/duCmOD7kvvk5tfqAJB\nMufB5O71h+YGQRIIBCLCOXtBEggEfhbXXZDMfii5e/3hOdVXkPwKN00FAoFAIBCobtwwdUgCgUAg\nELjRqZ6+DRuChyQQqMEUFVb1EQQCgetJFNt+nXOvOueynXNbf+x9nXN/cs7tdc5tds4NKH+tnXPu\na+fcDufcNufcf0v4/Wedc8eccxvLv2671v8WBEkgYEwUDQF/jH37rt97wfX93wKBwD8SUR2S14Ap\nP/ZD59xUoIv3vhvwO+DF8h+VAr/33vcBRgD/4pxLrBLzR+/9oPKvhdf634IgCQSMWb5cGfzXgz17\nrv07VhQXw7crr9/7BQKBfyQKQeK9/xa48BNvOwN4s/x31wCNnXMtvfenvPeby1/PA3YBiZvXf1GA\nKQiSQMCYnBz48MPovQmxMti7V4+j3mRTWqq6FiFEFAj8KmkLJDQH4DhXCg+cc1nAAGBNwsv/Wh7i\necU5d82KYkGQBH41nL9QXo4/4sm7RQsVjvpsfrRC4dgx1b0B1bKIirKY+jgdOKD/LUrKYrBps6pq\nBgKBf6Q6lo53zjUA3gf+e7mnBOB5oLP3fgBwCvjjteyEXTaBXw1NM1TafuUqlSzv0jma94lP2ps2\nqY/NFMOqoYns3nPl48RiUlbEfHlZ/e/1vEXlK1r+JN6rEOJXX6tg2sAB0bxPIFDT+aWi4vuTS/n+\n1NJk3/Y40D7hebvy13DOpSEx8pb3/pO/H6f3ZxJ+/6/AZ9d6kyBIAtWG4iJY8pUm9B7doWEj+/eY\nOAFeelndlTt3ljBp09r2PRIn7Q0bJISGDrV9D1Ar+XjvpGNHf/p3K8vy5RVNB51T0zdrjhxR+fSj\nR9VX5MEH7d8D4OIFiZ6LOeoXY1m2PhC4XvxSQdKjzTh6tBn39+efbPnDj/2q48dzPj4F/gWY55wb\nDlz03meX/+xvwE7v/X9eYcy5Vt77eF/su4Ht1zrWcEsGfhEFBepV07SZuhQ3bmy3+k+vrd4Yr74C\nn8+HNm1U4r9nD03yFu/TujXcdJPK/B84AO++C/fcDe3bX/tvfy4N6le0kW/dOhox4r06Ib/3np5b\n99+JM3aMzlNurv6fJMts/wP79qsZXl65k/fmIXb9mnxMPXl271aX6OxsNZR7+hlbMRLzEjunT0vs\nDBpYUZ48EKgJOOfmAOOAZs65I8CzQDrgvfcve+8XOOdud87tAy4DT5T/3SjgYWCbc24Tqtj+/5bv\nqPlf5duDY8AhtDvnJwmC5AYkFoN1a9U9uH4DNcFqUF+PGzbU88pSt64aUc19R71D0tPl0WjZAsaM\nhcZJejVatIB77oG5c9X/5cQJDfZTpqijsAW33qpVfyymCco61OEczLoXLudL8Jw8Zd8ryDmolTDp\nRTUBHjwkD8YTT0RTI7tlSzWTzMvT/zBmjJ3t/HxYtVL5PCDvy/0PqLlmspw7B99+C6fPSIiUlOje\nePjh5D+LvDwJwMuX4XKeOoxfzpN3amAEfXoCNYso8kC89w/9jN/51x94bSXwgx2NvPeP/dLjqFJB\nUlqiFXd+AZSVQpskOl0WFkL+ZW1NvPqre4/Kt9qOlSkXIOeSJjAf04oo3o24R4/KH/OpbPjkEzVI\nS03Vqi0tTZ19775bDQcrQ0oKDBosL8OqVRWvp6fDgw8lJ0hA//djj8LsOTrvx47JI5BMO/NEuveA\niZNgyWI9P3JEA3+HDjb2m2bIE9O1q/Ij3noLHn0U6ibZRj6Rjh11nbRsCcuWwQP329m+XngPS5eq\n+WJWR3v7uXnqtlpWBrNmwdkzyV+biZw8pWszzp132l1DDRvChYtw/LieN2iga6ilQdLvieMSsmUJ\nW8eHDlP322TESEEhvP++OgCXllZ8tWwJM6ZDs2aVt719m861S1GTwJQUPW7WFPr1q3zH79xLsP+A\nxq6rv+rXV45WZfAejh+TV7ZuXahXF1JryPL8Rq7Uel0/Au+1Wvn6K60ASkoqfnbX3ckJEh+D71bD\nhvVX7mzo3Bn69q283ZRU6NMHFi+GjRsrXk9N1UBdWgJplRQOrVrCU08qb2JNwkapJk3g4AG1x66s\na7lWLZgxE1q3gS8X6pwUF8PSb2DwELUJT8Zt3b49PPE4vPW2xNnevfCnP8HoW7SKS9a1P3IknDkN\nWZ002L32N7WVHz/+Ss9AZZk4QYPaE4/D629EI0pSHIwdG52XJGoSvSPWJIqRJx6HRo2gpJuN7cJC\nWLQINm3UdT5qlCbhAQOTt11UDOvWSeiXlGhCrFtXAj3ZrrrFxfLcbVhfIUbS0uCOO5Pvml1cotBb\nSYm8OyBxM3q0wnLJdM4uKZb4Xru2Yux1DoYNh169Ky9GQOd33Vp5SuOkpMDwEcl505yDY8c1NsZJ\nT1cIetJk6GZ0LUbBjSxIqqTbb85F+OorxfHjpKQou75de2jfTt8rk59w8iR8sUAJcnFSU9X6PStL\nX+3aVU5EHDoIn30G58/r4i0u1sTfqZNW2127QUYl49/xWHpZmVYqx47pZuzRA/r0Tk6cHDoE778H\nQ26GkyckHurU0Ypr8ODkEhXPnYO16yQgvv1Woq1ePRthUloqwVe7jiaXL7/USnTGTLuVLsDZsxIl\njRrZi5KYh5de0nURhZdkzmx4+BH7br//P3vvHR3VleX7f46yQIDIiCiCyDkZbGxjY2ywwdg45zY2\n7m53T8+Me6Zn3vzem2m/t2ZN93szPTM9Hrud2u2MwY0NDmByjiZnkSQkUEYB5VLV+f2xVa6SLEBV\n91wln89ad6mqVNp1deuec75nn3321hre+ZO0nWdCdrxem/pipNN1sxM0njNn4IuVMvDefY9MJirK\nZbkvwsHAWF+ITJki9/zGDc6XKnOy4dt9cOSw2B4+HBI7w7Gj8MgjMqkIh2qPtPXjxyWBnscjnrtL\nl8S7sHAh9A8jdkpruFwgts+ckf7F6w30iT17wvx7oU8YE8zqaum709IgPU08UMH5fAYNgrlzQ19m\n1RoKL0u/mpEpQeA5OXUF1ISJcNtMSOgQkukmr/b75vPO2vrit1putd9mESR+LmbKTObKFZlJZmTK\na/4bJSEBnl8ceoelNRw+DGvXwL33ylpsWpocJSXSyd59D0ycGOoZS6PeslkeT5oEp8/AmdNw/rz8\nbuhQWRYJh/Jy2fY4f54Exx0/LodfnLz4YvgdX0mxNPZu3SVx14EDMsiXlMA994hYCRevDyJrO/vi\nkoAw6d0bnlsUvt36FBeJIDx3Dl78mdkdH35RMmaMbNM1yfETsjT0i78wt6zl58+fwoMPmRckhYXw\n6msSE2F6uebzFZCebl6MZGTAH98Wr8g990jMlAl8Gl59VdqNX4gk1C4tBd/74bBli4iazp1lmXX8\neOn3srOhYwdoF+YSVk4uvPVWQISMGinXpV07+OpruPNOiAtzuePttwJ90qBBMhEbMgS2boGOneT6\nhONx2b5dvOc+n1yPAckygVRKXr9rjoi1UCepOTnw3rvSv3438a2d9K5eJYHnd94Z9pb2Jhckbyx2\n1tZfeNMKkqv/kZYI+JShgRlMdRVcvCTi5Mabwp/ZVFZKZslOiYHPKioUYdKnj7OcCpWV4mXwU1MD\nF9JlVjJ8+NX/7npo/f0GV1QsM5FJhgPafF6x27Nn4BqZorhEBIRJTwbI9UlPl47KNIWFMjsyvZPE\np+WejjPoeQlGKfOCBCTmwKS3yE9llVyPjoa3dfvvjQEDzAd+nj8P3XsEhIgp8vNkUjBwoLOljfp4\nfTIpGD4ssDUcGu5fQuXoURFN/frVFR71+8RQuZgJ+QUigIP7o8uXoUNC+Eu11VXi3erbT7b4++1U\nV0ufPcTZ8kyTC5LXX3DW1n/8hhUkFovFJdwSJBaL5bo0uSD5w4+dtfWfvN5yBYlNHW+xWCwWi6XZ\naSUbnSwWi8VisbRM34YZrCCxWFoxJcXNfQYWi6UpsYLEYrG0SE6dau4zsFgsTYkVJBaLpUWSmnr9\n91gslrZDWxYkNqjVYnGIT9fNDtxUVFfJdlSomzyqqWiu/9tisbRNrCCxWAywerXkwGhKzp0LpBjP\nzLj2e02iteSvWb/eFnqzWJoarZwdLRkrSCwWh0QoSfH/zp/go48lS2ZTcCq14cducvEivPc+fPAh\njB7VNJ9psVgCtGVBYmNILBYDDBok9YZSU6XGx7hxUhfDZGr0YLSGqEjJsgt1K8O6QUEBbNgoxd9A\nUuwnJbn7mRaL5fu0dFHhBOshsbR5LlyAZZ/Cpk1SV6agwJ2YiztmyU//ksaFC+7FWCgF98wLpF+f\nM8edzwGJFUlPh7Nn5XlEBNx2m/nP8fogL09Ez4aN8OmfpUqyxWL5YWA9JJYWQUEBlJVLReOoKJn9\n+x/HxTmr1Nq/P5SWygDnFyJRUTB5Etx5lyy5mCApCUaPlkDT0lIp6tgWYiwUUliuslKKs40ZDV3C\nrGrdEF4vfPGlVP/2e3qio+HRRyGpl3PblVVSa8pbU1tBugZqvFLjpbPhGk4Wi9u0ZQ9Jmxck2me2\naJWfmhqZ/UZHm7OpfTKQeWqgSxcz9srLxWZpqTweOSq8SpwgxaiOH5OBqdojz6urwVMtlZP7OSik\n1z4BtmyFQ4fqvj5yJDzwQPh2g+08HgNLPgkMStExUFVltoDc7bdLkbCiYlj9jbw2bZo5+02N1uJZ\n2rxFqlCDs+KRDVFRKaXr/WIkLg6eeFyKtznFp2H58oB3x8/UqTD7Dme2z5yBY0fl3GNi5H6KiYF2\n8dLOosLsXT0eOHFc2kSHBClkFx9vph8ryJcqve0TzIrl6mrpV8LtW66G38PYFoS9KawgMUx1NeTm\nQnaOlIbOyYFbbpYS1uGitWStzM0T23m54v7t3UdKkYdLeYWUAi8okMZccFlK1SsFP34hfLs+Hxw8\nKEGCxUVQVHv4fLBokTNBcukSfP2V/AxeMpg0SQbmcImJgaTesOrrujtK4uOlYmZZGbQPsxpqXCzc\nfx8MTZHZcmWlvH7xIqxbKx183z7OOqYhQ+Cpp+Cjj6T8+J49ckybJocJYdKls8y6/efZmkVJfTEy\naZKZarF+Sstgxw6pxBodLRVvc3PhqSelRLwTfD64kCECOicn8HpCAixYACkO+hqAKyVQXibLSx5P\n4PWUFFk+C1eMgHikTp2C48cDr0VEiEC75x6pOhwulwvhow/l/BITA0e//uL5Clf0VHvg9Vekj+ja\nVY5utT97JUn7Dpflf5a+sXt3+d971P7s0MHZvXj0KHy7D3r2gJ69oFdP+QyTk0w3aMuCpEmr/Xq9\nsGu3dHLBjTgiAkaNgk4doWMnWRfv1FF+tmvXuJsuLQ02b5KfwSQlyU2W2LluA+zYsXFq3lMDhw/B\n9h1SBttPbCz06CENrktn6NJVRESXLo1vfNXV8O23sGO7DObBtrt3h27dA42ve3c558Y2QI9HOvpt\nW6GiIvB6ZKScd1JvKcWd1FsaZGQIHajW0pjXroErV0SE+M+/Rw8YkAzJyVIGPhyBUlwCn38OhYVy\nXxw7Jh1Sp04wcoRzcXIpS3J49OwFu3fBzl3yuklh4mfrNtkeO+cud0TJRx/CE0+ar/bbkBgxRX0h\nctONMHmKiNwuXWQgC4dgEXL8hHgFu3UTEf7tt7J0N39eePfklSvSt6SlQXqaTFCUEjFeXi59ypy5\nstsqFGo8MjHLuiT3ZdYlmUgFxzglJMCtt8KEiY33QGifLLPl5ckkzT9By8ur2/d27AgzboYJ4yGq\nkQNxRaX0hZcL5GfBZfmZk1PXdo8eMOMmacONOW9vjZxzUVHdIydHhGowKSlw60zo0+f6dn1axGNJ\nifQtJSUyeS0ukX4smLg4mDULJk1s9DJxk1f7/d1fO2vrL/17y63226SCxE95BRzYD3u/lRuufXsR\nDiW1N4t/dgzwy5dECTeW7CzYtUtuNK8Xxo6VwdJ/c/vdwnPnwtQbGm/X54OTp2D7dpm1Dx0KHTsE\nGmNxbU2R5GT40TONtwuy5LFvvwiT2FhxJwd3IuXl8r5f/Qri24Vmu7JS7O7aBY88AldKpdPLyhLP\nj8cD8+aHN+BUVcGWLSLAJk+BC+mBTjs7W3adPPlU6HZBOpHDh2H8OBkcs7JEmBw7Ltf6b/9GxKoJ\nKioDwmT2bIktMcnWbeLef/ppiDS8fLhtK9x8i3lBUu2Bd96Ra2FSjABs3SrX2i9EYmPM2L18GX7/\nXwERMmqkDIoAhw7DuLHhi9g3Xpd7unfvgODu30/u/5hY+V8aO6AHs3UrbFhf631Mqj16SwzVypVw\n0wy44Qb5fSgUFMAr/yWPExJqvQu1k5utW2SwnXGztK9QJiMAr74mAkEpEWL+iVh+vsRPJSfDTTfB\nkMGhXe9NG2HzZnkc7MGJjZW2HxUF48bDtBtkstZYcnLgtT8EnsfHixDr2FECz6uqZGI5darsjgvR\nm9PkguTfXnLW1n/5OytIGsTnk22SBw7CAwsDja6qOiBOBiaHF9BYekVmYMkDxRUMMmvwixO/JyZU\ndO2Og7x8mDI58LqnRmb0Pm/47uYaDxw+AuPH1/2fy8pkuaj/gPDsglyPGq80cD8+r3QiCQnQLsyl\nFhBBFV2vw6yogIpy8RyZRGsZeLoatgsiTKKjZTAwjddrfn3dj1LmBQm4d87V1dJZmBIiweQXQNcu\n5mMO8vMlniO2nvesoXs/FK5cgapKuZ+Dl0suF8jAGeoExI/PJ8nyuneva8NTLaJ+zJjwv9uLl+S7\nS+xct63s3ClLP30b4bVoiKJC6esSE6U/8n+HJ09IfztpUniTEI8HMjIDIiSmVjiWlcny8OTJsm0/\nzOD2Jhck//pLZ239b/7NCpLr/7HBtWmL5YeEW4LEYmnLGBpzmlyQ/L+/cdbW//ZfW64gaTF5SKwY\nsVgsFktTYceclkeb3/ZrsVgsFktboWX6NsxgBYnFYrFYLK0EK0gsFovFYrE0O1aQWCwWi8ViaXba\nsiBpMUGtFovFYrFYfrhYD4nFYrFYLK2EtuwhsYLEYrFYLJZWghUkFovFYrFYmp22LEhsDInFYrFY\nLJZmx5gg2bRpkylTlibGfnctl9WrVzN8+HCGDh3Kb3/72+Y+HYsL2PbXelFKzWzqz9TK2dEQSqm3\nlVI5SqnDV/tcpdTvlVKnlVIHlVLjg16fo5Q6qZRKVUr9XdDrnZVSa5RSp5RS3yilOl3vf7OCxGK/\nuxaKz+fj5z//Od988w3Hjh3j448/5uTJk819WhbD2PbXqpnZ1B/ohiAB3gHuutovlVJzgcFa6xTg\nx8Afal+PAF6p/dtRwGNKqeG1f/b3wDqt9TBgA/A/rve/NfuSTUUFHDkCxUVm7Xq9Ugr73DmzdrWG\n/Dw4eEAem6S8HA4fkgqgJvHWwLmzkJZm1q7WkJsDhw6ZtQtQVirXuLzMrN2aGjhzRsqOm0RrKU9/\n5Krzi9DZs2cPKSkpDBgwgOjoaB599FFWrFhh7gPCQGv5XvLyzN//585Jm/V6zdotLpLvpaLCrF2t\n4cB+KCgwaxfkHk1Pk4rcJrl8GY4ehcpKs3a1D/bvg8LLZu2CVIS/cEEqGJskPw+OH5Nqy60JNwSJ\n1nobUHiNj10AvFf73t1AJ6VUT2AqcFprna619gBLat/r/5t3ax+/C9x3vf+tWYJaC/LhVCqkuqU4\nngAAIABJREFUnpIbLT4e7l8opcPrkzwAIht5lhXlcPoMnE6F06ehqgrmzG244+zeDTpe14EkeL1w\nIT1wzoWFMGoUdOj4/fe2i4ek3o2z6xc3qalyZGRAQgIsWAC5ud9//8CBENFICVleJtcgNVU6t+pq\nmDe/4c6+qqpxNkEG9PR0uQ6pqVBUBOPGyXnXp3076JXUOLtay//st5uZCZ07N3yNQcqFN7Y4Vlkp\npJ4W22fPSjny++6Tn/Xp2bPh/6Uhajwi8k6lyj1XXAwTJ0rp9PokJIjtULh48SL9+vX77nnfvn3Z\ns2dPaEYckHUJyhsYxM+cgRUr5PsZOgyGDYX+Axpfzr6kWMrJ16cgH1atgthYGDJEbKcMgfhGlpz3\n1kBa+vdf1xpWr4aKz6B/f7E7dCh069Y4uwAXLzY8iKemwsqV0LWr2Bw6DPr3g4hGXouiIhEJZ8/W\nfT03B9auhbg4SEkR20OGQFx84+x6PA2Lbp8PvvpS+oMBAwLn3KVL4+yCtM2G+owTJ+CLL+S6+u+L\nvv0a32cVFsq1qE92FmzcCO3aybVIGQpDBkNsXOPsVldL31ofrxc+/1x+JicHzjmxc+Ps/sDoAwRf\nxcza1xp6fWrt455a6xwArXW2UqrH9T5EmSpbrpSy9c8tFovF8oNC66bb96KU0r/+p9CG2vNpm0hL\n2/Td882bX27wnJVSA4AvtNZjG/jdF8C/aK131D5fB/wKGAjcpbV+ofb1J4GpWutfKKUKtdadg2wU\naK27XutcjXlIQhE2Pi9cyAjMhisq4Cc/gagGziYuDlQIC0v1vS8PPywzgfpER0NUdOPtVpTLzDC1\n1vsyYiTcOfv774uIaLxyh+97X2pq4IUfQ2QD/3NcfOO9AlpDfn7gGmdkwONPQJ8GvDfRMQ1f+6tR\n3/sybjzcNvP774uIlNluY/HPcP3nrBQ89zxENPA/h3ot8nID1/jiRXjmGejRgF6PiWm8Rw6+732Z\nMhVm3PT990VGQkwI1wJg165d/PrXv2b16tUA/OY3v0Epxd/93d/VeZ9SKqT211iqqhpeMli7Fo4f\nD8+LAeJZasg7lZ4OS5cGvBjDhkLXELwY2tewF6OmBv7wB/HEhuPFAHHrN7RksGqVtIWUFLE7ZHDj\nvRhw9Wtx5ix8/ln4Xgyfr+GliOpqeO016NAhPC8GyDXWDVyLlSvlOxw6VI7BIXgxQK5DTQPX4sRJ\n8er4vRhDh4p3rrFc7VpUVsq16Nw5cI379AntWgBNvgk3VPmTPHAmyQNnfvd88+aXw/nYi0C/oOd9\na1+LAfo38DpAtlKqp9Y6RynVC2jA718XYx4SIGxDBfkycCV0MHUqQkW5xGP0CNFVfj28XnFn9+nb\n+EGxMWgt1yK+HbRvwO3vhPIyKCuD7td1moWGtwaysqRTM4lfRHToKAOJScpKRQR3627Wbo0HcnLk\nvjCB1+tl2LBhrF+/nqSkJKZOncrHH3/MiBEj6rzPLUHSEFqLy75378Yv0TSW3BwZKEMRN42h9IqI\nq1DETWPQGi7WXotQxE1jyMmGTp1CEzeNoaREBFoo4qYxaJ8I/d6hD+jXJTtLREMo4qYxFBfLeTtc\nomlSQaKU0v/4srO2/r//SV3NQ5KMeEjGNPC7u4Gfaa3vUUpNA/5Daz1NKRUJnAJmAVnAHuAxrfUJ\npdRvgcta69/W7r7prLX++2v+fy1BkFgsloZZvXo1f/mXf4nP5+O5557j7//+++25KQWJxWKpQ5sQ\nJEqpj5AdQ12BHOCfEO+H1lq/UfueV4A5QBnwrNZ6f+3rc4D/RDbJvK21/k3t612ApYhnJR14WGt9\nze0rVpBYLK0cK0gslmajyQXJ//rfztr6//nHhj0kLQFHzjWl1INKqaNKKe/+/fvr/O5f/uVfSElJ\nYcSIEaxZs8bRSVrc5+WXX6Zv375MnDiRiRMnfhe3YGm5+JOmATZpWiskOTmZcePGMWHCBKZOnXr9\nP7A0K8899xw9e/Zk7NhAzGc4yb+c4lIekhaB09W+I8D9wObgF0+cOMHSpUs5ceIEq1at4sUXX7Qz\nuFbASy+9xP79+9m/fz9z5sxp7tOxXIPgpGmATZrWComIiGDTpk0cOHCgSbdzW8Lj2Wef/a69BRFy\n8i+nWEFyFbTWp7TWp6nntlqxYgWPPvooUVFRJCcnk5KSYhtcK8CKxtZDcNI0oEUkTbOEhtYan+ls\nXxbXmDFjBp2/v70n5ORfTrGCJETqJ3Tq06cPFy9evMZfWFoCr7zyCuPHj+f555+nuLi4uU/Hcg0a\nSppm21jrQinF7NmzmTJlCm+++WZzn44lPHoEJ/8CDO9j/GFx3YwLSqm1QPDGWYUEsP5/Wusv3Dox\ni3lmz55NTk7Od8+11iil+Od//mdefPFF/vEf/xGlFP/zf/5PXnrpJd5+++1mPFuLpW2zfft2kpKS\nyMvLY/bs2YwYMYIZM2Y092lZnOG6m7mlezmccF1BorVuIP3XtenTpw8ZQbl6MzMz6dOnT6hmLIZZ\nu3Zto963ePFi5s+f7/LZWJzQp08fLgTlBrdtrPWRlCR1Fbp3787999/Pnj17rCBpfeSEmvzLKW1Z\nkBhbsgmOP7j33ntZsmQJ1dXVnD9/njNnztgo8hZOdnb2d4+XL1/O6NGjm/FsLNdjypQpnDlzhvR0\nKd6yZMkS7r333mY+K0tjKS8vp7S0FICysjLWrFlj21wrQGtdP9ZuJfCj2sfPAK4HcrXlGBJHqeOV\nUvcB/wV0mzdvHuPHj2fVqlWMHDmShx9+mJEjRxIdHc2rr76KMpnS1GKcX/3qVxw8eJCIiAiSk5N5\n/fXXm/uULNcgMjKSV155hTvvvBOQoNb6GVwtLZecnBzuv/9+lFLU1NTwxBNPfPddWlomjz/+OJs2\nbaKgoID+/fvz8ssvA/wGWKaUWkRt8q9mPclWjk2MZrG0cmxiNIul2WjyxGi/+q2ztv5//67lJkYz\nVlzPYrFYLBaLu7RMKWGGFiFIamrkZygVZxuLtya06q2NRWuzhfUsFoulNeNWn+hWH17tkQKRDVVW\nb8m0ZUHSrF9FSQls2ABvvgUqAjw1UHAZzqfBoUOwdSvUNFD+/HpoLaXgP/wA/BsRqqqkmmjqKdiz\nW6pphkNVFezYAZs2Bz6rrBwyMuScj58Izy7A5QJYvTpQ5lxrKC6S8ua7dsrzcEk7L9Vz/fi8cj0O\nHpTPDRetofBy3dc8Hjh/Hs6dDd/u1Sgrg2PHzNsFuHgJKhooU+4Ur0+qTrc2ikvA58JK0JUrkOvC\nXgSt4cgRqeRsmtRUuJAemDz5qX/vh0pODhw+BPl5UnnWz6VLUkk4XGo80mecPSv9rL/v8FRLH1N8\nzRJn1+bwYTkyL9a91mvWwN690v7DITMT9u6B06nSV1VXy+snT8HST+T6h9MHVlTCtm1yzmnpUFgo\n36PW8OqrsGWL9CuW5qfJPSRai0jYsxdOnJDBNzoa/u3foLw88L6ICClFPn4CdEhonO0aDxw+Art3\nBTq8K1ekQQY3nPh4uGsO9OzV+PO+Ugq7d0uDq6qCpCQRCgUF8tx/ziNGwMgQYwvz80R8HTkiJcer\nKiEvTw5/o2zfHsaOg3YhlmbPyoL166RjumsO7P0Wsi5BdrY0yshIuHcBdOkaml2QTmPVKhiQDP37\nQVqaHBcvgtcLw4fDoMGh24VAJzL7DuksTpyAY8fFfmQkJA+E9g7K1Ps0RNTONC5egs2bZdC5ey6Y\n3BDm9cFnn8n1/ulPzc/GVroU01/tgbfegmHD4O67A9fKBPv2w6ZNMGoU3HoL9KhNJRX8nYTD5UL4\n7HN5PGiQ2B8+DOLiZLC87XaIiQ7P9o7tkJ4uXtx+/eSeT06W+7KoEO66Czp3Cd1uWhqs+Ub6wZgY\n6NULknpLe9+wXvqT226H7t1Ds1tyRQZaf78XGys2uveQAX/vHulbb54Bid9LPnptDh6SCYdfHMTH\nQ5cuIkR27oKNm+CGG2DKFGgX33i7mZmwaWOgPwXp7xISpD8/cQJ694Zp02DkKOkHGkNpqYw3V67U\nFTTt20NlJWzYCJu3wOjR0vb79G78OTcHbdlD0qRBrV4v7NotnoS8vMDNEREBd9wBiYnQsSN06ig3\nS0QInXfaefj6a7EbzIgR0nkkJtYenSA2rvF2r1yRzvPgITl/P4mJ0ll37SKNsUtXEROhDDi5ubB1\nCxw9GnhNKRgwQDqO7t2hR3f52a594+2CeD02bqxrOzJSOv/evaXT650kz0N1h1ZViodoz+6ANwfk\n/09ODhyhdnR+0tJkYPF65X/3i5AhQ2SQGZoiHWy4HDkC0TEieP1CJCkJZs4U26bczn4xcvIkPPYo\nDA5TnF2Ljz6EJ550J6j1+HFY9ilMmmRWlPi02N68WdqrX5hkZckAlJISvu2KSjh1UsTr2VoP3aBB\nMti1bw8LF4Y34GgNly/LvZieJj+DvV6RkTBjBtw0QyZYoVDjEU/JpSyZLFy6JNfF37aUgnHj5f7s\nFELpNq2hvAxy82TykJcnfU5Q+hoiImSic/OM0CYlXi8UFck1KbgsP0+cqHtNoqPl3rnlltCESWUF\nFBWL/aIiOHsGzpyp+57eveWe7NM3hHP2QVmpeP5KSqAgX8SIn4gI6W8mT4ZJExs9/jR5UOtL/+as\nrf/uly03qLXZdtnU1EgDyc6R5ZOhQ6XjcEpZaaAB5uZJQ7h9ljOblVXiCSkokJu44LKo7gcfhIQQ\nhYIfn086tcJCaXTFRYHHc+bAKAcpCS5dgm1bpdGVlsrh9cLEiTDfQaoKreHIYVi7Vmz6iY+HRYug\nW4izuPrUeEVEbd8eeG3gQDlvpyLEz7f74MsvRURevuyOEKmpkSVIt8UIuCtI4PuixOc1F+tVX5h0\n7gzFxSIaRo9ybt8vTvbtlyVVkEFm5kyYcVNoE576aC3i4U9/qrtEkZgo3pJhw8O/n7SWJYqTJ0Xo\ndOggXoLERBncuztITr53r0yCOncWe50SoXOitIf+/eW+DYfCIrnfO3WCrl2hW1f52aUrxMaEf75a\nwzer5V7pUevh6dEd4h14R/2cOAkZF8RT3qsndO0GUY30ugTR5ILkr3/nrK3/+0tWkFhCwOeFiNAb\nxlXRWlyTpVekg2isq7M+nmoRZdXV4tKvrg4c/fqK1yVccvNg+XJZ2oiKChz9+sEDC80Mgtu3w9p1\ngecL7oXx480G4mVkSid3Kct9MQLuCxKoK0rat4MxY6BbN3P2fVriHdbUJhJWCubPEyHqlKpqWLpU\nPBA1NYGjXz9YeL8MzOFy4YJMpmJi5IiOCTzu1i38e9bjkQlKQoJ4c03en6b7FosVJCZpEbtsLHUx\n3WEoJV6M+BDcpg0RHQO9ksycU30SE+H552XJy3Skvtbimt26VZ7HxspSVUmJqGhTH6e1eI8yM2X2\n7bYYaSpGjoSHHhRRAiIeHzGY/kn7JDC8Tx9ZUvB4YOUXEkswfboz27Ex8NST9T5Pi/teOyy027+/\nHKaJjnbubbwaVoy0flqmlDCDFSSWFkG4wYaNISNTRMjjj0PPHhKn5Mb2xNOnA+vz0dGQkyvLkG58\nltZ143fc2hoJ4sHIzZUZv8cjsQIZmeIVM0FkpAQv+z+ruEg+LycXsrIhKYTg88agVK1r3g7OllZI\nWxYkrWwHtsUSOv37SczA0BRZ43ZDIPh8sG69PG7fHmbNkoh9N3PVfPxRYDfZ8uXufU6Egptugpm3\nyo4VgHXrnG1Dv9Znde4sAeO33GxejFgsrR1by8ZisVyTw4clIHnmTFlmcBLI1xiUkh0B/p0kvVwe\nuKOjRZRMnAjbtssW+NNnRORZLJamo6WLCidYQWKxOMTnkxw6v/hF+LuuwmHoMNi1K/C4KYiPl+WV\nqVPhxHHQQ2zGYovFYgYrSCwWh0REwI03Nv3n9u8f2Ardw8FW0HDo1FESVFkslqbFekgsFkuLIzIy\nkETMeikslh8GVpBYLJYWScrQ5j4Di8XSlLRlQWJ32VgsrRgnadYtFoulJWE9JBZLK8ZpsjuLxdK6\naMseEitILBaLxWJpJVhBYrFYLBaLpdlpy4Kk2WNIqiql2qc/DbbHAxfSpRDasqVSCCtccrIDmSxB\nKtQeOwpffQnnz4dvV2upThr8PDtLaqUEV6oNh+DKoQCeGqlK+cUXdVOFm6C4GDZtlLLvJtFayoUf\nPGTWLkh9k507nNchaYhz5+uWTzeFp8b8NfZTVnr994RL5kXz9xxIleWMTPN2vV7YseP7bcgEe/dC\nWrp5u2lpUpm71PB9V+2BlSsh9bRU0fbj89V9Hg4bN8p1zsutm603L/fqf9MYTp6EVaukNEF5eeD1\nSxelqGe4lJfJWLJzJ2RmBMaU6mqpfOzG/WIJj2bzkPi8sH+/3NxRUXLTZGZKtVefD9q1g759oaJC\nym+HQmUFbNwEe/fAHbPlZ1oa5OfL9shevWDIkPDOu7AQvvxCymD37yfZKs+ekYGsXTsYOzY8uyAV\nYtetg8cekwH9+HE4daq2mm4/KCsL/Vr4SU+X65zUS855/z6pvRIfLzkskhwUzSsvl/9da8kcummz\nfJejR8P4ceHbrc+5c7ByhVyPoUOlXLgpTp+BJUtg+jS44w5zdgEO7Idv1sAvX5LrZJIVK8za81NY\nCG+9BQ8+IN+jSbZth6NH4cknpQ2ZIicbNm+S671gAfQ1ZNunZVLw1dcwcCDceiskD5Df+e/9cLlc\nANu2ST84fDhMnASDBkp7jY0Nv4L2lRLIzoH9ByTd//DhUiRx0EB49z24917oHmb7KSmBkydg7Rop\nxTAkBVKGiJCoroa5c6FDx9DtVldBehrs2S3Pe/aEAcnQLl4me9Onw823SDXlUKiolPPaslmqnkdG\nSn/Xtx8cOgjffgu3z4KxY0A1+xT9+rRlD4kyWLa8UYa0hjOnpSpqsJehZ08ZdPv2k6JdnbuEnltB\n+2RWvm5tQGErJTffgGRITpZkUv56HKHg80q67I0b6yrqPn0CDbJ37/BuaJ8Ptu8Q25GRcs5+ETJq\nJIwYKYmowkFr2LMH1nwDo0ZJR1dSItdi0iQYPiL8MukgA/nhwzBubECIDB4sdU/6ORwQSkvlO42J\nlftl37dS42TePEgIU5g1hF+MjBwJ998nic5M4amB3/9eBoR77jZn189HH8ITTyoMtuPvWPapeBh/\n+hOz16SmBpYuk0mCaVFSVCiegbQ0GcBuuw1KaicL4bR7P1rD+TTYtEkKKPqFyY4dMGOGs//BUw3H\njsG+fdJ+OneWPis1FebNh3EORH1hoUxsjh2HS5fkGng80sfceSdMmRxeDhufVzxop09Lf56dHfhd\nbCzMni1lBsLpD8vLxUueliZHTk7gdx07wp13SVsNZ3zIL5BrnJkh32N+fuD3SUlw110yVoRAk8oD\npZRe/Iaztv7mCwqtW6asaVJBojUcPyazo4oKufEqKuS45Va45ZbwP7ywUJZizp2r60ZMToYnn5KB\nPlyys+GLldKg/URGwvOLndcQKSyCzz4LVIkF8bLMmhW+CPHj8cg1OVS7dBIdDZOnwKSJZrwLx47B\nn5fL9dbanBABGbTe/ZN0DkePBGZeo8eYSQJWXCyd25mz7okREDH4zRpJK+/0+2wINwVJbi68+po7\nXpL6oqR371pvaIJz21rL4L52jXzHgwfLMtGjjzn/fusLE6VE0D/6iHyOU3Jy5Nz375MlKICpN4h4\ncNKHgfSRq78Rr6uflBRYcC8kOLzu6Wnw7rt1+94BA2D+fGd9jaca3nmn7pKnUiLw594dvscYYPVq\n+HaviNX4+MDPCRND2k7f5ILk+TedtfW3FltBcu0/1FDjgWgDBcm0llLs1dW1h0cGgtgwZ0c+r8QW\n1NSIwvbVln3XPkjsLB6XcMnOgfXrpeOJjJSOLSpKGsasWRATHb7toiJY+kndhhwZCQsfkMHXKfsP\nSFyL//YZPhwefsjMgK41rPg8IKTc8Ip8slRmRJs3uydG3PaOgLuCBNzzkkBdUTJ9usRRzJ9vzr7f\nW+KPF5t+owzsJqipgQ8+lHMHaVsPPgAjRji3vX8ffPVV3fidAQPgwYecCYeKStiwHiqr5Pz9h9+j\n0bVL+LbPn5NlaxUh90mEkp/RMTAwOfylkIpy8ZRGx8hSTUxMwIvsBINjTpsQJEqpOcB/IHGlb2ut\nf1vv94nAH4HBQAWwSGt9XCk1FPgEGf8VMAj4X1rr3yul/glYDPiji/5Ba736WufWInbZKGVGjPht\nRUXL0c5AobOIyPDjTa5Hr57wxOPm7fp84pK86SZonwDt20vRt7h4M96Fnbvgm29kNtGzp8Sg9Ozh\nLMaljv2dATECIiydLCvVJyNT1rtPnBCx4IYY2bdfhHF5ubj0Wyu33iJekmPH5XuYNNGc7agoEbEf\nfiTCUCkRJt0MxQZFRcs5+9m5Q+7V8eOd2y4tleXU7t0gJ1dE29JlErviNG5q4iSYMEEERFkplJbJ\nz4wLssQabhuOj4N77nF2bldj4CB37Ma3k8M0Jsecpsa0b0MpFQG8AswCLgF7lVIrtNYng972D8AB\nrfVCpdQw4L+BO7TWqcCEIDuZwPKgv/ud1vp3jT2XFiFILGaJiJClDTeoqJBO/Ze/FJFjuobK6VRx\ntXfoIBVshw2TGVaUA29RMFpLPIqfjAy4eNHMMpMfnxZ3MIjgcaPOjNayDOGnIN9skK+f2FgYNEg8\nDe3amRUkIDFN/qVQrWH9BnjkYTO2ExLg6WdkGffUKUg9JQHpXbtAPweeTYDERJgyJfBca/EQ5OaJ\nCAo18LI+KkKud7t20N2ZKUsbw4XFlqnAaa11OoBSagmwAAgWJCOBfwHQWp9SSiUrpbprrYMiQbkD\nOKu1Dt5DF9LZWkFiCYn4eBjs0myoukoCnRcvlt0Fbgzkp0/L2n9UlOyouekmZ8GODVFcFAh8Pn4c\nRo+CjgZc+cEoJcta/oC/NWvgMRe8bWfPyoAOEndTWQVxsebsDx4Mv/gL2LJVttaeOCEerH59zdiP\niRFROHy4eA4vZkowZlJvs143pSRepaMLcUIWSzAuCJI+QEbQ80xEpARzCFgIbFdKTQX6A32BYEHy\nCPBxvb/7uVLqKeBb4Jda6+JrnUgr2ORk+aEQEws33gS9+7gjRnw+2LBRZvm/+IXE6ZgWI1A3982C\ne83EFTRESkpgSWKoS0X2Jk6Eu4LiLpzmmmiI9u1h7hz4i5/DmDESV+VGSExEhHhGpk83K0YslqZE\nK2dHmPwG6KyU2g/8DDgAfJfRRikVDdwLLAv6m1eBQVrr8UA2cN2lG9ssLT8YikvggQfCz7/QWHJq\nB+25c83EK1yNocNgw4baxy5W/Z0+XfI3bN4i/5vJ5a1gOneGBxZCVrbEIznd+WGxWCDr5CayT266\n1lsuIh4PP31rX/sOrfUVYJH/uVLqPHAu6C1zgX3BSzj1lnPeBL643rlaQWL5wdA5sWk+JzcXbr8N\nbqjv9DRMjx6SmArCS0QVCjNnynJNrgsekvokOdxKb7G0ZUL1cvQaMZNeI2Z+9/zQipfrv2UvMEQp\nNQDIAh4FHgt+g1KqE1CutfYopRYDm7XWwXmiH6Peco1SqpfW2p+hZiFw9HrnagWJxWKYlCHOMvY2\nFqXc9YzU/6y77oIjR5rm8ywWS8OYjiHRWnuVUj8H1hDY9ntCKfVj+bV+AxgBvKuU8gHHgOf8f6+U\naocEtL5Qz/T/VUqNB3xAGvDj651Li8hDYrFYwuPMGUhJcS8PicViuSZNnofkqfectfX3n265idFs\nUKvF0ooZmNzcZ2CxWCxmsEs2FksrJtK2YIvlB0XL9G2YwXZnFovFYrG0EqwgaSa0dicfhdu2LRaL\nxRIatr9vHG1ZkLSIGJKCgkAiJJ+GCxmwajX85+8lVbkTgmtZVFXB/v3wzh/N7xbIzYMvv4TPPjdr\n1+uDQ4fhrbdl26VJSq5Itd7UVLN2QSoBr1lj3m5VpVReLi83b/vIETh31rzdyirYtdv89weSSdUN\nysqlppDXe/33hsrJE3UrzpqipERSw9d4zNrVWuyeOW3WLkjNpi++MH8/X7kCb74lmYJ9huOdP14i\nVYODSxeYYM8eeP89OHxYqvz6Ce7Dw6GwSMaStWvh4qXAWOPxQNE184Zamppm9ZD4y4Rv3wH33y+D\n2PHj0pi6dIExo8NvTB4PrPoaRoyEqEg4eFDSUnu9Uh+lc+fwz7vkigxe06dJKvLdeyS9dufOcMMN\n4dsFyM6W4mIqAo4ehS1bpOGPHi3/k5O03V4fREbINdi9GzZtllTw4wxuUa3xwDdrpKz3pElSFTnc\nSp/1qaqEDz6QMurTp0udD1MUFcqgM3kyDDJQRj6YU6ekGOFYF+oL7d5l3iaIeP9mDXTrLtuYTXLq\nlIjgF38mWVpNUVoqbaaoCB591Fz9I69XrseHH0qhxNtuk6KbJoiKhpOn4PgJyRw8cYJklPW31XCp\n8Uoa+6XLpADmrbdK+vzKSqmg27VreHZ9Gvr2gT17Ydcu2XZ+w1Spd7R1q7SfcNtl9+4yIfj8M/gq\nGkaNlsSCRUVStfyOO6TSb6hERMDIEXD0mIw1iYlSGHHESFiyRDIRj3Gp9pcbtGUPSbNt+y0tk4Jd\nwbPzLl3kRhk1ShpRuC62ggJYtlTqfMTFSSPs3RvGjZeB3clAdumSzBBiY6WjKiyUxnjDDdJxO6ka\neyFDOr3Zs2V26hcit9ziPLtoRqYUkktKgq+/Fts33gg33wwxDjvugnzo0hUKL8OyZWJ7/nyzBf6C\nxcgzz0D3HuZsay0zsytX4Mc/NjeQ+fl4iZR5f+pJs3YBPvoQnnjSnW2/r78hFakXLDBrt7ICXn0V\n+veHBx8ya/tiJrz/PvTta1aUaA3798GqVdCnDzzwoPQjpVcg0cHkBqR/2rhJPARJSXDP3TLRGTlS\nkt85ITtbMuyeOCF96oQJIhyefkqeh4vXCydPymTswgWZRNXUSP/32GPO+qvSK3D4CByd0Mk4AAAg\nAElEQVQ8ILWt/H14375yv/iTAYaK1uIhOX5MqlcXB3lHxoyBu++Wisgh0uTbfh/92FlbX/JYy932\n2yyCJDUVVqyU9NB+xo+Xuh9O1/mOHYOVKwJuvrg4ePppKabllGPH4bPPpOGBCKdbb4UeBspxnj0n\nat3jkWtgSoiANOo/viN2y8uloNndc8OfJQVTXQ1vvgGTJsPGDeIleughc5Vnz58TMemWGAHx5nz9\nNSxaBH0Np0WvrIT/968yyEw0XCkX3BUk27bBtu3wt38T3sz0Wpw+Lef+0EMwcpRZ2/VFSUYGDDRU\nEDI7S0R3ZaUI+hMn4NlFZq5Pdo7chxcuiNiJjITnnoPEMAfgOraDhAlIv/jkE3KNnJKVJYLKP7mM\njYWHH5J+xglaw4V0afv+Pjc+HhY+AEMceu18Wvrb4Alxp05w/32QnBySqSYXJI8scdbWP3m05QqS\nJl+yycuXcu/TbpAti1FBR3W13Mzh4POK8j90SNR6fLw0urh4KHcYh6K1VCPduDHwmt/LYiId+YmT\n8OmngfX62FhZrjIhRoqL4f0PArE4Y8bAwvvNBXitWgX5+fDNalmimTPH3Kw0P086/65d3REjaWnS\n2a9dK0tApsUIwKlUKeo3fLh5224zchSsWw/nzptftklJkUnIV1/BgGQRzSEOBFelT1946ikRJR99\nJF7Nn/0cOnRwbrtXErzwY1neW7dOXtuwQbyajm33hB89Ax99LAnvQP6HRYugvcPlyV69xONy5oxM\neior4d334PHHYOBAZ7Y7d5Y+Mj5e+pmqKvjgQymYONVB+QSlxN64cbVLTRVyrPoapkwRr3S4y8GV\nFVKFe/hwETv+43wadEpsujITlro0uSDp3k3WYE0TEQm3zpTDNHn50KmjeFo61ZYYjzY06B46JBVo\nk5PFPdujB/TsIWv3TikvFzFSUiKNu3dvOfeSkvDdnsEcOSxuVT+lpTL4mmLDBumAMjNh/r0iNE2h\nNXy2XERrx47m78mqalkCOn5clvRMxrs0FV06yxLC8WNS6K6Xg2XUhrjrLgnKff89ef6Tn5qzndQb\nbr4F1q2V55s3wbz5Zmz7vHKv+9mxXRLUDUlxbruwUPrI0lLxahQUiKh6+mmIjXFme+hQeOZpqUeU\nmyuFEj9fId7SYcPCtxsXB088Lo+rq6V/KS6BkmK4XCj3UbgMHyGHadq1a5ryDm7QMn0bZmjR235b\nCj26m1mWqY/WUrF13Djztj014kZNGSKztwH9peMwRUGB7CqKiJCObuw4mfWaKuuemRFwL0dGygy6\nqko8XibIuiQdZ0mJrKWfOWO246uqgnffFVF443Tp/Hsajns5fCjgyj582HwHm5UlLv3DhyXw8pe/\nlABxU5xKFW9gTo48Lyx0FmweTEW5xDQpVRv/sR+mTTcjauPbweOPS3DuoUMiqj77DH7yE+dFDrt2\nFaEG4tlNT5NZ++ZNEvTqZGkoNka+z/rLNE53MgYTEyPX2OTkwVIXK0gsrqBUWEFUjSI6SuIW3KCm\nBnbthFl3iNuzncGdEiADiN8dPm4czLxNIuNNErzttH9/SDFcpK6mRjwkIJH9puMklBLvy/nz8vz8\nOfOCpKoK9u4NPK+pMStIRo6Es2dkyQ8g9RTcMM2M7fYJ4hGZNl1im44fhw3r4eFHzNiPjpGg7dFj\n5Hs+egR27IDZdzoLbA+mXTyMGCGHm8QbEvmWpsEKEosliMhIuGeee/bPnJaZ1k9+6mwnwLU4dUoG\n9bl3y3q0afyeC5CZbVIv858xdGggKM+Nqr/JyXDTTbB9uzyvqQEcbDuvT3Q03L9Q4oI2rJfvxJQg\n8dOtGzz0sCz7rV8nnjfTsUIdOsD0G+WxrXFocRsrSCyWINzOeNirFzz+hHv2i4pkqeapp50H9F0N\nb60gSU6WgFk3CBYhTnc0XI3bbpMliezswP9kEqVk63n37rDicwk2NLUsF0zfvvD0M3VjP9ygrWQD\ntViagxaRqdViCcbpOvz1uHwZnn/ePTEC4k2IjZVthBEuDVIdOkrQKUCMQc9FMFGRsHChxAbVuCBI\n/AwfDj/6kQSQu4VSZnbaWCzNiVbOjpaM9ZBYfnAMMpST4lrU1MC8eWZ2M10LN5Zq6tOjuwRGuylI\nAHq6sKxlsbQ1WrqocIIVJBaLC/TuHX5OnVBwsl0zFKZOgWrDNWIsFkvotGVBYpdsLBYXaAoxApKo\nqylQynkeDIvFYrkW1kNisbRibBClxfLDoi17SKwgsVgsFoulldCWBUmLXrIpc2mLnsfj3np4ZaU7\ndv3FAk1TU+Ne7gSvwTTywdhcD5ar0druZZ9XDjdwq89wq4+rqoIal66FW2NJc9CWd9kYEyROOgLt\nk8NvJ+MCLP0Efve7QBZHE3g8sHMX/OfvYfcuc3YB8nLhww/gvXfNdoraJ2XJ/+PfJX26SUpK4E/v\nSC0O0+zdC3/6k/mdGRXl8NabkuDKNNu2Sbp905SWyv1cVGjethvfHUitkyUfg8eFQW3Vavj2W/N2\nz56Fd/5o/pwrq+DNN+HIUbN2Adavl2q25WXXf28oZGZIn3HooNn+yOuV6t5LP5HU/CbZtAn+67/g\n231mhUlGhowlny2XkhF+fF47uWlpGBMk4a5le6ph6VIZuI4ehbffgj/+UZJX3Xefs9oWBZelzHmw\nEFm/XtKdjx8fvl2QSrQgtUq+/hpee01SSM+e7Xxd31+grvAyvPcerF4FEyeZrUB5IR3eeF1mO0MN\n79TYuxe++lqSdZmqbQPSeaxYIULKVM0TPxWVsHWbWZt+0tPg5EmztYT8pKWZtwkQEy2ZUzMzzdv2\n+WDzFqm3ZJIuXURIfb3KrN3YGBgwAJYvNy9KRo2SulBvvAHZWebs9ugBo0fD55+LsLxSIq87LX4Z\nEQF33iX1h/77v6XEQ1WtxyTf4YTphhtgyGDpT4OFyfET0ubDJamXZJbOypLr/O6f4NRJmSisXOFO\nwj83acseEqXNScSQDZVegY8/lvLgnTpBcbEkSJo2XeqLOBnYc3KldHePHtJJVVbC5EmSCttpcqRz\nZ2HNGpgwQVR9RATcfjtMmOi8jsXhQ1JZNb9AKpUmJsKC+6BPH2d2QRpkr14yO129CoYMkdTdJgZK\nreX78ouRmTNh5q3O7QazcyesXSOVT5MNJzXbuAl27YK/+ivz9YW++hIuXpSy9ab56EN44kmFwXb8\nHf/x71JL6LbbzdotLoHf/x7uvBNucFCeviFOnJDZ+333my1aqTWs/ka8lQsXwpjRgXveKWWlsGyZ\n3CP3LoAxY6StJhnYQXX+vAy6lZUwZw5ERYvYdFq7yVsj12LzZpl03D4Ltm2FBx6APn2v//fXoqgI\ntm6FAwelr05MlLHh6aedVQ7WWvrunTvFm+Yfc5KTpcZRmDV9mnSIV0rpe7501ta/mqfQumVKk2YL\nas3NkbLaxcXyPCIC/uIvoEtX57YzL8KHH0oVy9JSmDwZbr3FTJbGCxdgyRLxuqxZI7U3brnFzKCe\nmQErV4qt8nK48SYZ1KOindvOzZGOeuBAOHBAznnmTFAGfGRXrsC5c7JmbVqMeGuk08/KEoE2c6Z5\nMVJRKWJk2jR3ih2mpUkl5NZGcjKkp5u326kjTJwoS2QTJ0ohSFOMGCEz7a++lFwwnROl9pLT+1wp\nmFNbhXf5cvlZWSnCxGnbb58gZQzWfAPL/ywTtKNH4LnnnReVHDgQfvpT8WR8/jm0by991/PPSw2h\ncImMkvo9Y8fBxo3w5Rcy4H/wgWTcdZLkLjER5s+XkgIbNkq1aYB33oGnngq/8rpSMHiIHDk58MH7\n8npaGvzxbang3LlL+OfdVLRMKWGGZglqPXtGlmWKi6FdO+k4eveGsnLnts+nyTKHv6R2RIQsB7Vr\n59x21iWZkXpqA2ITEiQxlQkxUlIsQsfrhbIyESOzZpkRI94a6USLiqRc+sOPyKzXhBgB2LQZ1q5z\nxzOSelq8LsuWyQA542ZztmtqRIz444mmGS7sBiKI8/Pl3FsbycmyZONxIQB8xgwR3Qf2yzUy6eCZ\nPVtq43y6DHbshAuG4o38omTqVGlPGzdKJWcTREZKocd7F0gl7dJSqe2jDQTTxsTC3Lki/srKZOLw\n8cdy/Z3Svr30gX7vQmWleKYLDMT++cWT3wt15YqIkkuXrv13jaG0FPr1Ey9UfLy00bfecic2zdJ4\nmtxD4q3d1bFokShhkzU4srNl8Jo6VZZqevaArt3MlEzPrV0CioiQBtivP/TvB0m9ndv2VIsYKasN\nbOvbVxJrVVSYEVKbNsmMAGQNOe28/A8myqTn58P+/fKdxsdLbIcpVzbIEtbJk3I9FiwwV9odJEh4\nw0bxernhHbl0SeKAlJIlyNZGcrII5MwMEd0m7nU/fi/J1m1w7DgsvN9cmv3IKLj/fvjDH2DjBllK\nHTDAjG2tRexER8uAvnOnZLE14X2tqZG26SctTTx3/krCTigtC9Q+ysqCwkJYthSefErEkBOSk+Hh\nh6UdZWTI8d578OyzkOhgiSU6Gh55WGKN8vOkD87JFRF4+23Q1YE3ffDgugUpqyplwlZaKn2kyX7G\nNG3ZQ9LkgiQyCoa45L7u1Qsefsi8Xa3Fm7PoOWkEJpNRaQ1ffSUd2uQpMDQFEgwWAMu4IOXj4+LE\nvTp5kjNXbX3WbwjMbgcNEjFl6vqUl0FqqjyuqpI4j3nznHegfnJzJegZpJPOyRURa4pdO2UNPyFB\n1sMnT5ZO1gRaw6pVMmsEWT68804ztkGq7p44IUJw+XIJvjQpSDIyJJjzyhU5cnPNCRKPBzZsEDEF\ncPyYeAhMXPuICJlZJyfLvVlTIx7C+fOc246KkpiuadMkoPPoEQnCHzxEJlhO6NCh1ns5U/qy1FMS\ntLx2DcyZ68x2dDQMSJYDxKuTlweXC50Jku/sR4mQMhFTczVi42SZqad7H2EMK0h+4CjlXgyAtwbu\nuQeiXUjLXV0lAaz3LoBRI81/RkamDFoDB8Idd0AfgwMWwNFjMluJjoa773G+M6o+ObmBx717mxUj\nADExgXL3V66YEyMg96SnWryCYD6yLi5eREJVlRwxhu+dvn2hWzeJPQL5Lky1sehoeOhh2LMb1q6V\n8z91SnadmKBnD3j8MYmvWbtOPITTp8n/Y4Kk3jC/twjMI0dE2N5zj0zmTNCpE0yZKkdVpQg3UyIf\nZCm4R08w3JwstVhBYnENEzEi17J9/0J3bGsNx47Ck0/C4EHupDA/fEhmhg8+JG5y0+TWCpLp0yTo\n2TT+QTwhAW41vOMIpNLvwYOBx6aZdYcITjcEiVKy66OqSuKacnOv/zeh2r9hmiyt/vlTuZdMCRI/\nAwbAc4vg5CkJvLzd8G6k2FjxqulJ7uXLiHUhiNviLm1ZkLTglTKLU9xcB9VIPoIhg90RI/l54qJ9\nfrE7YgRkEJwwQWaibvwP/kH8zjvdKbY3eHBgZtuvn3n7CQlw223y2LQgAYhQcO+9sjPGtCDx07s3\nvPCCxGKVXjFvXykYMVyWQtwSDUq17JgGi8UU9ja3hEWEksMtOnWSZEYmlzmCqaiUQXz+PPcK1MXE\nSDDr6DEu2Y8N7N6JMOhyD2bKFPFSuSFIACIj4IGF8n27lZ49Nk5y+bhZgTkiwhY6tDQNbTkxml2y\nsbRI3IipCUYhOzHcnHnGxsHdd7s7ULmxVBNMRO12VNOpzYOJihJR4vWKQHEDpdy/pyyWpqCliwon\nWA+J5QdJXJyZ7eDXYvTo8BNEvfzyy/Tt25eJEycyceJEVq9e3eD7hhlO+98Qycmy08NNYmIkg6jF\nYrk2bnhIlFJzlFInlVKpSqm/a+D3iUqp5UqpQ0qpXUqpkUG/S6t9/YBSak/Q652VUmuUUqeUUt8o\npa67j84KEovFJZwuEbz00kvs37+f/fv3M2fOnAbf08lgfaNr4eZyh8ViaT6UUhHAK8BdwCjgMaXU\n8Hpv+wfggNZ6HPAM8Pug3/mAmVrrCVrr4GIQfw+s01oPAzYA/+N652IFicXSQnGjPo3FYmnduOAh\nmQqc1lqna609wBJgQb33jEREBVrrU0CyUsq/3UDRsJZYALxb+/hd4L7r/W9WkFgsLZRXXnmF8ePH\n8/zzz1PsL/pksVh+0LggSPoAwUnzM2tfC+YQsBBAKTUV6A/4yyhqYK1Saq9SanHQ3/TQWucAaK2z\naURqmhYrSLSGM2fd2UqXn+fOFsAaD+Rkm7cLgdTvpikpcadWifYFsoiaprzCHbsejzv3m9YN2509\nezZjx4797hgzZgxjx47liy++4MUXX+TcuXMcPHiQXr168dJLL5k/sUactyt2fdJW3MCte6OkxJ3r\nUVkpad1No7V7fUbWpUAWXJMUFcphGp9Pqvu2FYdjM+2y+Q3QWSm1H/gZcADw3wU3aa0nAncDP1NK\nzbjaqV/vQ4ztsvFpc9tA09Nhzdraku0vQG9DKYNrPFI7Y9tWmD4d7phtxi5INd0//1kGtZ//3Nw2\nTK1hy2apR7NokSR6MkVREfzpXUgZIpkgTbJ5C+z7Vio4m6xXVFoGr7wi1UBHjbz++0Nh/TpJZ/7E\nk2btFhfB66/DMz+S8gZ+1q5d26i/X7x4MfPnz2/wd5/VVp799a9//d1rM2fOZObMmeGdbC1pafDJ\nEvirvzYbP6K1FDEbNlwqTpvk22/lvvv5z8yec1kZvPrfcPssqZNlki++lBwszzwDCe3N2U09BZ98\nAnfNkXM2tdPLUy0VfTt3hoUPQBeD1XG3bIGjR+HWmZI+31T22PPn4f0PJDj7ztmSm+aHROHBTRQd\n3HStt1xEPB5++ta+9h1a6yvAIv9zpdR54Fzt77Jqf+YppT5DloC2ATlKqZ5a6xylVC/gutmGjHlI\nnIiR1NMyOOYXwJJP4J0/Sf4Jp2JE60DCpfPn4LXXYOcOqaJ7m8Osit6awGfs3g1vvCE7BZ58ypwY\n8XikHPnmzVKLo6/B5Fd+MRIdLR2ASU6dhM2bpHy4STECUkY9OloSspnE45GMoW4kGLuUJTPhziEE\noGZnB1xty5cvZ/RV0oz6q1r/+te//u5wKkYAEjvJOWdnOTZVB6XkGu/fJzNXkwwfIZVsN282a7d9\nexkgv1kN6Wlmbc++Q+69d9816ykZOkza9epV8NWX5jwa0TEinjweeP0PkinY7wH094nhcvfdcOON\nUhDxzTek0jQ4T5o3eLAU+vN44I03YflnUFQsHqQLF5zZbg5C9YgkTphJ8rO//u5ogL3AEKXUAKVU\nDPAosDL4DUqpTkqp6NrHi4HNWutSpVQ7pVRC7evtgTuBo7V/thL4Ue3jZ4AV1/vfmj0PydmzouRT\nUqRYVZcu8NhjUmTOqarfuUNu6pgYGWxSUuCpp6XKsBO0hpUrJYvlV1/J/3DzzXDLrc5VvdcrnV73\n7lIBuKAAnnjCzLbLao8UqiouDogR0zOz/DwpxjZ+vNTKMMmFDOkAH3jA/K6P48cljfmECWbtgri4\nu3YNLU33r371Kw4ePEhERATJycm8/vrr5k/sGnRKlOrNly4FiqaZYtIkEfHnzpottJnQXtK3f/MN\njJ8APQxm+L31VqkbtGwZLH7BXCHAxET40TPSHt99V9pju3gRa1EOemel5Jy7dxcv2uXL8NBD4nUe\nPFjqzYRLj56weLFMDlZ8DmdOS9+3b59MnMIlKhpm3ibb5b/8Et5+SxLzFRRIckEnbXNAf3j+OTh2\nDNatFy/roEHiCXz6Kamt1FownYdEa+1VSv0cWIM4Kd7WWp9QSv1Yfq3fAEYA7yqlfMAx4LnaP+8J\nfKaU0oie+FBrvab2d78FliqlFgHpwMPXOxdlMJI/ZENpafDBh1IxUymYOwcmTTaTHOnoUalhAZIC\ne+7dkqLahOtyzx5Y9bUInfh4qRdjqrz5ls1w8qQUZYuOFnHWzVDHun6DzE6//tq8GMnMhO7d4M03\nRSw8+6y5Oj1ay5Lgm29K/pBnnjafbOydP0p68UceNWsX4P33xPYDD5q3/dGH8MSTypUdOR+8L+e9\n8AHjpl273l5f3fsEzN0rVZV17+/sHHMDWR2P5a0SfzV9mhnbWZfg44/FdmSkLOFMnmLG9unTIko8\nHvFOPfCAmczEWsOhg1LFuqJCEhg+/riZiZmnRgoWrt8gz2NjpS8M0xvfpGnKlFL65i3O2vrWWxRa\nt8z0as0W1HrhAnz4kYgRkNlAWZmZOJT0NPj8s8Dz2FiZoZromDIzxHUL0gBvmgH9Dbn5c3PE3ZyV\nJee6aJE5MXLlCuzcGeiYTIoRb43EGyxZIm7+Rx4xWzRwy1aJD8jNNZ/5tLJC7F64ABMnmbPrR2v5\nPlvjunVSknhI3GDSJKnAe6VEvgNTREbIPZKWJpOSrdvM2Y6Ng0cfhfx8aUefLZcAXRP4PSUeD3z6\nqcRTVFaasZ3UW/qSigrIy5MKyEVFZmwPHgQ33CB9IYjnOM9AXSKloGu3QMkCnw+WLjWzhBgZIRM+\nvweqqgref18EpqV5aZYlm4sXYfU3MHKkzDD69pV6GSY8I3l5MjBGRckSzeDBMGiwmeCrsjJpFD6f\nDOrDhkHHDvLc6bn7vPD554F1da3h9BlZ+jDBps0B8VddLUsrpgTJiVqPTmmpuFv9nZMJKioloDci\nAiZOgG5dzdkG6UB9PnHBDzYcl5KZKR1rRYUMCiapv2bv8Ziv+5PUG7Ztkzbl9dYNyHXKiJGwahWs\nXi2DzoLrZihoPH36SN/y+Qq5b2660VyAZI1XgiNTU+X5+TRx/ZsgJyfQRisqYPsOmGWggrDWcCo1\nIOSrq+GLlRLv5lTce33Qpat4n0+flvvwk09kWcvpsmrfvlJN/OxZOdLS4MMP4fnnnSUEjIiQpaXZ\nd8o1z8yU48svpdijyaU+N2iZvg0zNIsg6dkTXlh8/feFivbBxUxx7fXpY7bgmM8HK1dIIxk9WsSO\nydoYO3bITLp/f3GpDh9hrhPNz4f9++Vxv34SSNff4G6dfd8GHkdGQkIHc7bT02sHXy8cPAQpQ2GY\nwfot+fky4LZrJwGAcw16YIqLRGSCuIhjY8wJE6Xgo49kfR0k+Nnk8sf5c3Cg9p5543VpU6bweSXQ\nEiR2x9Ryp5+jR+HEicB9c+mSuWDlDh3q1j/a9605QTJsmEyk1q2XvmDnTpg6RT7TCUqJF2PSRDh6\nDPbshnO1369Tr2B0NIwaJUdVlXi9jh2V7/f+hc7aklLiIe7WHW6YJmItM0O8maM7OW+nUZHQp7cc\nN9TGu9U4DMxtCqwgMf2hLn2qipBgNjfwVMtauhsptAsLJdD0hR+Lm9w06zdAt25wxywpxmZyySM/\nX2Yu8fGyFXeE4a2458/Lz7g4iacZYFBIgXi9QITULbeYvTYJHep6pXoZ/m57JQWuTx/DQXnJyRIc\nCvI/mBSZEZESBHnqlDwvM5yHY9xYuR+XLpVzP3/enCBp3x4efkSC5Fd9HYj3SkgwY3/wYBg4SIIv\nN2wQz+b8eWZsR0WLx3XcOPEIHDoou3FMnXtsLIwdK0dFhaRZMDlpi4qC5IHm7F3tM1o6bVmQtNjE\naC2N2Dj36nkkJsI989wRI8XFIkJ++hOZgZkOBt23T+y/+KJ5MQIidhIS4NkfmRcjPi+Ul8uM9+GH\nzQ66ULejnzXL/LUP9hSZ9BqBiPtZswLPTQ1afrp0kQBIkAHdNENTJKg1Lk6WVUyilAzsP31RPI0H\nDpi1H6FgzGj42c8gqZfcoybxb72eN18ElhvEx9vqym7RTInRmgQrSFoAbpan79QJJoyv62Y2hdYi\nEh59zPxgDlBWLjPc556TZT437IMEQZrM8eLHP4iPGGHegwEyqMTVbiU2FfwczJAUWU6JjAx8jmn7\nt98uwZtOc1g0RL9+sOhZEeVuuOITE+Hpp2V3mRtERcLkybKc6BZu9j0WS6hYQWIJG6Uk1sWtTq2i\nQrZXhpJQLBTKymDiRNlq7gYxMXI4TcJ3NSIiJZYJ3PkOlBIvSUKCe9/xjJtFsJUZ9gL46dFDRIPp\nZSE/KkLagMXSVLRlD0krWDGz/FAxvaOmPu3aSRCrWygFM2ZIciq3GGp4qaY+/frLFl23UEp22LgZ\nTJhoKImZxdISaOmiwgnNmhjNYmnreGsg0kXZX1kJ8fHuJEbz4/b/YLG0Ypo8MdrU3c7a+p4bbGI0\ni+UHidsDuRuxHfWxYsRisTQFtquxWCwWi6WV0DJ9G2awgsRisVgsllZCWxYkLXbJpqq6brpzkxw/\nLpU7TVNSDEcOm7erteQ6cGNrZMYFScxmmupqSffsBmnp7twXhUVQXGLers8nNTjc+P6Ki83bBEkB\nnmWgbkhDFBZCiQvXubpaKkK7welUyfpqmtxcd66zp1qSt7nBgQNQ7sKupQvpcPaMebuVVVIbyNMK\nsrA2hra8y8aYIPEaKjIFklnxtddg1y5psKaoqZFKt8uWwqmT5uyCdCpvvSU3vsnBUmsp5vfFSsjI\nNGcX4HKBFAnbusWsXYD16+U6myycBiIY3n9f0sibZusWuR6muXwZXn/dHRHsT8FumrTzkjK+wvB2\nXK2lqu2ePWbtAuzeLbVOKgwVpfNTUiz1WbYZLNTnZ8N6+PgjKX5pkrNnpcDo5k1m7VZWwqaN8Pbb\nUJBv1vax4/DBB3JNfAbFX9YlKbL4xhuQedGcXYt5jAkSJ8Xlyisgv0C8Il99Be++J1slX3zReZXU\nqtrO6fJl+OPbcPCA1Fi4daYzu8GknpJy6l27SlVNU+mH/WJkzx5YuFDSeZuislIG306dYM5cc3ZB\nqi3v2Q13zYG4eLO2t22T7brjxpm16/VKkcBRLmSbzcuTn24kL3ML/1bl3DyzdpWCkSNk8DG9MWjy\nFPm5a5dZux07wW23wZbNkGNYVN67QPqLT5aIV8oUw0dIwr9Nm8yKkrg4eH6xZK1++21p66aYMwfu\nvkfqer33nlSChkAfHi4DB8JPfyr9xttvw7p14i3JyTFbCLSpsB4SF/F6YdkyKWw8gyoAACAASURB\nVCT12mtw5Cjcdx88/phU0nVCaSl89hkcPyazPa9X6sWMHev8vDMuSNGu3buluvDIkVKZMt5AVsXC\ny98XI6PHOLcLYtfnhU+XSeKxRx8LlPg2QXU1rFgBQ4aYq1Tsp7hEigTePAOiDUc/nU+T6zFylFm7\nIOXYO3Vyr/SAG3TqJIXT8gwLEpBrXFgIWYYH9/g4mD5NBIlpL8n0G6W0w+efm126adcOHntcakKt\nXCHt05RQmzL1+6Kk8P9v70yjs6rSfP/bGQmGIcxDGESQGREExYlBBVTUKkVBxaEcq7W6aq3bH7pv\n3Q99+8ut7rt6VU9Vt9Xq0rKsEsUBEJVBJnFgCrOEWQKEyEwGSEJ4k30//HPqfaEoKTvPIQm1f2u5\nSIA8Hs57zt7Pfqb/iYbbbdUKnvyBpvj+9reweZPEGBsazXYORo2Cp59RSu+ll5TCeeedhjsl7fLg\niSfgzsmweo2iJV+ulCJ0XTMbWHE5OySNXtS6cKFSNHv3ahO7996GOyIg5d85sxW63LFDEzkn32kj\n0Z5ISLYetJCMnwC33GIzzbK6WmHnq66CtWttnZGKcti5SxtkUZEWlTZGQ6PKy6WLsWSJtDeefNJ+\numcUHbl2hK1dkNPapQu0b2dv++jReIejxYFL0zUfNUyZRuR313NXuBW6Ges3XX8DrFwlp2T8ODu7\naWk6KL30kp7DMTfolG2hBdOxI0x9EN78vb7OyoJrr5V+VkMZVa9i+/HHut4d2+H5HzY8ipuVBQ8+\nBIs/0aGvfXvp1/zgqYbLVHTtCs8/D/PmKYUD8OGHEjdtyJqS5qSk3refDk1Rjc2KT2HcuIZd86Wk\nqTsVDaFRIyQFBbBmbfL7yko9NBZ88UWyqDIrC7p3t0ulfPaZHJFjx+REjR5tt/l++YUk5deskeCe\nlTMCULAOPlmkqM5990G+ob7K5k0wd04yVdPacDrm1q1wsCSe6MjpynjTNVDvkHSKx3acdOwYT4Tk\n/LSNpXhcapSkpEQOuBUdOurwseJTHUgs69D69oVJk2DZMv1nWSM1ajRMuA2++FxrVsHai//Mn0Na\nmkb/9+ihNau4WIcoC7KypC+Vnq7vv/rKTsTQuXOlBJZ/qjUm0Pg0mkOytwg+nq+T0uhR8NgM1V9Y\nqIoe2C/pbtCpd/x4yWxbOA1HDsPnn+nr9HSFL08ZFaRVVCh1FbF5k50GR20C1hXAmTNaSPbtkzy4\nFTt2wJYtyUFdlmHtPV/Da6/JoezRw7ZafutWeHuW0jUDB9raPnIEtm3TJtCpo6JfVnivHHiEdW1D\ndbWcqCNHYPNm226es2elDH3yJMx8C77ea2e7pkbRxUQCXn0N9u+3s332LGRn6f3ZulXPvBVnzsiB\nAv0b1q5RlNeCsjLYVpj8fsUKu2exvEwig1FUZMliKC1tuF2XJqd13HjoUC9eOP9jmyaHvLbw/HMq\nCxgxQnvO7DnxdZVZE1I2xiQSCgU/+yx06Wwb2q+qgkWLYMwYGHaNrUpsXZ1ORjk5ynVedx1cYSjL\n/uly3Zt27XSiGTTI7t5sLUw6NwMGyEnLMEhfgWp1ius7gLyHVrnJk40FR47oviQSyv/ee6+d7UQC\ndu7U1799A557zi4C06IFzHpbX3/yie73kCE2tp2Djz9KbmLLl8O06Ta2QU7Il18oejH7ffjp/7Kz\nfeqU6q5A936QYWQqPR0+/yLpEFt26WVmnluk/fXXch4sarCys6V8fPq0IrvHj8sR79u34bbbtFEh\n6ubNsGyp0qtffqE1pqF06apUyu23K9q9rkCdX4882vC1q3UbaUHddJOchU2b5JQ88ghkNvCeZ2ZK\nB+rqq1VDUlICBw9qv4hDGd2Spu5UNIRGcUgyMpTmiAVvk8e8EPuKpAw7dIjdZh5x7Bjs2gV3360a\nCcsNHZRKadlSVeyDjQs3ow29XTsVyVrWS3if3FQGDoR77rFL68G5LdpT7oZcg5qAiMgxq63Vvbfc\neAH6XZ2MAFiL7I24NtkOnptrU3sVkZcHEyeqQBRs2+TT02HqVHjzTdWlWTokIIeyXZ4cqooKOSUD\nBtjYbtMWHp2hTsCFC/XOWjgkoPVw+HAYMliOw+pVSuW0MqjXAzkPt98Ot94KmzZCyUHobpQSdk7d\nlt266V06exYsl980p7qm/O6GRmPkcnZImrgv+N3JaRmfh3tlHxWbWTsjADVn4MUX1bpo7YwcPKhN\n4IUX7Z0RUNvzlVfCM8/YF2+WlSXD8A/c37D28gsRbYbXXWe/qbu0ZNHwLbfYP5f9U663Xz9b2xmZ\nOpmCQvLWXDMs6aBZD7nLzIDp01UjVVqqdIgl3borutu9u23aBrT5XjtC76pzGldgSUYm3Hij2mCt\n0sGpZGXJ0bFyRs4nPf3S6Dc1ZS7nlM1l55A0V7p1h6yY2kLz8uCBqTYdAedztkYV9o8atTyfz+Ej\nqhuZ9pBdUXIqtQld/8SJ9rZBm3m7dnapmlQ6dNRnC5BrdNJNZeRIPTNxOCTOwZQpOqHHMcE2Owse\nfUQheOtZKgCtWsMTT2pzrDMcChnRurWijXFtvi1yVF8XCDQlgkPyF0DLGByFiPQMuGOifVTnD/bT\ntbFYzkpJpc6rtTorhqgXQNu8+uhIDPfHOfuoTiqZWTpNt82Lx37LHLXSJmIYyQ6q9XpsRjwODyiN\nFZcjC/p843x3A82TyzlC0uhzSALNm7gLwPpeFa/90aNVdR8Xfa7U1My4iNMhAaWyLLtgzueqPoog\nxUVurk3n3p/COft5O4HAt9HUnYqG4Lzd/OZmNu8uEIgf7+PdsOpqIT3DYfge/xFx/xsCgWbMJX0z\nnHN+YGHD3vVtgxzeN023JqRsAoEYiXsjjyMVdD7BGQkEApeCkLIJBAKBQKCZ0DRjGzYEhyQQCAQC\ngWbC5eyQmKVsrFPYpaUSmyo3HFkNGse8ZLG0Eaw5WAwffWTfBlibkNBU6UlbuwAbN0Jh4cX/3nel\nogKWLolH3nvlynPHpluxf5+mWVpzNiFl0XIjiYFUrOdgRJw8qWu2fq+9h3Xr4JsSW7ugeTtrC+zt\nVldp0q7l6P+IDRskL2DN0aMS1LNeixIJaVbFIbq4dq30dqyfuWNHYeabmhB8OXA5d9mYOSR1ltol\nu+GVl7UoWmqLJBLw/vsS3jtrqOMCckbeeEPy3pb3wns5I1s22y+IR49qzHNJDJvD0iVydqw5cRIW\nLoKjx+xtFxTA+nX2dk+ekJxBHIOo1sWwAYPucxzX7BysWplUWrXkYAksWCDBREvq6vRcRJNrLTlw\nAD6Ya6sVBBr5v36dHClLams1Vfr11+2dksRZWLy43pEyXEMTCU3sfeVl6ZwFmi5mDkl6A5I/3kNZ\nqaIXn34qyek+fTQNsX37hl1X9GBXVcHv3tCY80ce1cRVKyJnJD9fEyItJ7muWKFT+9QHpRthRSIB\n770LnTrZyrSDHJyNG+H2O+znh6xdo2FaA43GdUf4OmmIWI3qTuV4/bTNONtbrWlff63HjSeFguTf\nd++2t3vNNRqeZ+1UtrwCxo6TgvCJ47a2J0/W8Lk5s22jGb16SfNp1Uo7BV6Q5s6MGRrIZ+2UjLlR\n69yG9fD228noakOdky5dpVHVuTP85jdSO4/2nOZIiJDEzKZNkoCeOVPS3pMma7KoxeTS+fO1iLz6\na41h/sEPbDadREI6FnE4I1X1J7wtW2D5Mi1a1vMmlizR/bj/gYY5k+fjPSxcoLHaQ42nk56pgfUb\nJGxoPYitpESnyr7GI9hB9zk3V9NDmwutW+seW48uB425P35ckSNLsrPg2uFK29QapypGjdImbB1x\nyMrSO7h/vwTvLBl2DYwdK0G6Xbv0blZVNdxudos/dkp277ZRJx48GB5/XJGj13+j52Tx4obbzWkp\nUb5bboEF8+H99xQB3BlTyjNOgkMSIydO6IXZuEGKjk88ATfcYNNquGePwvAvv6wBXk8/YxdlKFgL\nixbGExlZvESRgLlz4PrrYfT1NnZBp8c9e3RymnxnwyNQqVRUqB5l/345Uc746dq8SY7gyBG2dkEL\ndqtWturQESeON6/oCOh9ycuzjwgA9OypKae7YoiSjBotNdvt223tpqfDxEmyu3evnnUrunWD8RNg\n2TLVwVhGeMaOg6FD4d13JKj35Zc2ds93ShbM1wHKgp694KmndUB45WVFpkoONtyuS4Nx4xUh371b\na9Xcuc2vtiQOh8Q5N9k5t905t9M597cX+PO2zrn3nXObnHOrnHOD6n8/3zm31Dm31Tm3xTn345Sf\n+XvnXLFzbn39f5Mv9m9rVIektlaeahSaq621E8I6W6P6CJD9Hj3stFCqq5VKiQorJ0ywizJUntbG\n+/HHuuaJk2zsApyqgA8/VKpm4EDbtFVZqex+skgLYH4PO9vHT0DhNli9RrYtNXkqK/V57t4NV/W1\nnbkRFeedOJlMgTQn2rXTtXtvW2iYkaGU7O5d2gxqDMXv2rdTBGb1ali/HioNIgIR/fpJ5HHhAhVJ\nWor23XSjHLU3f6+ortU9cQ7uuVef5cKFqjk6a1RonpUNt92m+3D8OCxdaieUmJWp9a+mJllHZ1VX\ncqY6+TxXVurgF+NcwSaPcy4N+AUwCRgMPOycOz8p/lNgg/f+GuAJ4N/rfz8B/A/v/WBgDPDieT/7\nc+/9iPr/FlzsWhrVIVmxQieCnBxFAp54UpLqVrZP1nel9OmjDdhKF+LLL5KhzxYt6gssjR7ognXJ\nl7q4GLYbVuAXFibDtseOKd1kxf4DsG+fivOcs+2CKSuFd9/VNbdprWJcK06dgtde1XPYrp3tdVdV\nw9wPdL05Obo/Vniv6F9UnL1+vZ1tUBQg9wo4dAjeny3NHyu+KYEOHfT/eO1V2wLzbw4p6rd/P8z7\n0LZL7+BBpVgOH1Y0t9jw/fl6ryI7lZV6/3futLO9ebOKOkHv/iajTjJfB8eOJwUAy8r0TFrQqhUM\nGiwnDfQcrl5tY3vwEHjscYlHZmfrMLJmjY3tS0EMEZLRwC7v/T7v/VngLeC+8/7OIGApgPd+B9Db\nOdfRe3/Ie7+x/vdPAduA7ik/952OeI02h+TAAS1MU6dC/wG2Sq6HDyvMN2wYjBljWwxaUaG205wc\nuPVWuG6U3bUnEkrVgJyoKVMgz/BkHbU6Z2crqmMZxdifUr3eIgc6dbSzXVaeLPjbvgNuvMnOdlpa\ncrH+dLkcVyta5ijEX1WlFtpOnVVsaIFzijAUFen74gMwwjCV9c0h1etEpBseXerq1OkGStlapvZa\nt062QnuvZ8dK1bZbV6WaIvbvV8TEgquu0nry4YdaB776CoYMtbE9YgT0yIcPPpATtWql0p4Nve9p\n6dI6GjZM6+0Xn6sGcPjwhqsUuzQYMED/FR9Qqmn5chg4qOHq086pxq17d5g0SQe1LVvgyitV5N/U\niaEOpDtwIOX7YuSkpLIJuB/4wjk3GugJ5AN/OB4653oDw4FU1/FHzrnHgALgb7z333pEaLQISZcu\nyuUNHmIvK3/8OPzor+H799s6I6AXY8yN8OOfwA1jbK9961dajO77Hsx4zNYZKSuTE9i5Mzz7nL3g\nW9ROd/Mt9vUj0Sn3iivg4Ydti0PTUl7uW8fq5G5JZK91a/si36v7X/hrC0aOSG4q1vekez5cf0Py\n+zTDBfaKlvXPSH1BvGWEJC1d6sQjR+p76xbSa4arzi0vT6d2yzb/jp3gqafgzjt1qLLscsrKkjP1\nk5+o02mNUSQjIr8HPDQNnn8ejhjPH8rM0n2f8Zjue3OgkYpa/xHIc86tB14ENgB/SKI553KBd4Gf\n1EdKAP4f0Md7Pxw4BPz8Yv+TRouQZMYk9w4waFA8dr2HW25WG2ActitOwYs/ikedtHCrTjJTpugl\ntKS6WlGGCbepit2asnIVFU6fBm3b2NqOHKdOneAmw8hLRPv2cgTH3GDfGXR1SkdQnz62trOzYdR1\n8NnntoXPERPGKx1ZVmavGN2poyKvb75pP9/DpcHdU7QJFxSorsFST6hLF7WozpkDO7Zrs7TCpalA\nvn9/DWOzbihreYU6JOOYtwPQrr3+i4s49yRLvqtTUb1yOdWrln/bXzmIIh4R+fW/l/x/el8BPBV9\n75zbC3xd/3UGckbe8N7PTfmZ1OT6r4B5F7vWMDr+O+BcPM5IZPvmm+OxDdCjpyI6cQilHSzWQnS9\nYTdQKuXlcN+9KnKzJi1N9+Tee+0dBtBm3qKFbTolIreVws5gP+8F9Hl+uTIehyQrW87x739v340F\n0K+vwvEHDbozzsc5uGOi/g2HDqtLxpIWOTBtmga9xUGbtloL4sKy6DzQcFqMGUeLMeP+8H3Zv/3D\n+X9lLdDXOdcL+AaYDjyc+hecc22ASu/9Wefcs8CnKZGQV4FC7/2/nfczXbz3h+q/vR+46Hz04JD8\nhZCfH6PtHupQiYtrhqm7Jg7SnDbe7jHdnw7tNcMi22CmzoWwKgK/ELm5qgfoENOptG8/Re2sIyQR\n14+ORyIC5JSMG2fbaXOO/bR439lA88W6hsR7X+uc+xGwCJVx/Np7v80597z+2L8CDARed87VAVuB\npwGcczcBjwJbnHMbUHvHT+s7av6vc244UAcUAc9f7Fqct+t3+gtunAo0V2pqAG8zhO9CHD+hmpc4\n0nCg7oOuXR2G7/E5HD+umRO5MZ16K0+rQDyOKEkgcAm4pKPGnHO+x/6GvesHejq8b5oj0oJDEgg0\nc5yLzyEJBALfyiV3SPIPNOxdL+7RdB2ScC4JBAKBQCDQ6IQakkAgEAgEmglNM7ZhQ5OOkFhOcEwl\nURvfqGBL2exULISrLmg3RPoDgUYlrncwrjUjrjWuts5W8TiVuPaSxiCI6/0ZWH/gxcXwH/8O+w3H\nbYMGj739tr1qJ2iw2SuvSCvBkuoqCQTu/drWLsDiT6Q/Y83hI/DrVzVbxZp334FthfZ2N2+GDy/a\nKf/dqa6W9skRQ6n2iBWf2tsETcec+ab9pubrpF8Vh8rqxo2aRmrNiZPwq//SPBxLvJe4m7XKL2jO\nyK9/bb8unzoF//mfsCcGYcR582D2HHunZOcO+OUv4nn/GoPgkPwZWA6V2blD0tOdO9uNfYZ6Z2SW\nNEWsJ5Xu3wezZ0t7wbJjI1q0Tp/WtEVLDn2jMfgNHcV8IVas0EZ8hZF+UMTRo7B1azxzN3Zstx+k\nBVBaaqtNkoqlnkoqiVpds7USqktT586uXbZ2QePtN26wVeIF6aqUl8Pnn9vadU6D/pYvT+puWdGl\ns7SfFsy3tXtFS63Js2apw8uSwYM1xt3aKcnvoUnJr72alFoINE2aTMqmqlK/riuAt96CIUNg+sMN\n39yjcGiqMzJjBvQ0HLJ17Jiu+aqrYPKdtsPH1qyWNsf9D9i2jtbVSTejWzfpUVhy5IichrG32s+Y\n2LRRG8SVxpNJvddi1au3rV2QQwL2U2bjJHJSo2u3pFfveDaGAQPkqG4xEo+LyMzQhOb16+2jJDfd\nDG3awMcf2aZu8trBvffpmjcb3g+XJmmLrl2lTGw5mr9fX5g+/VynxEJpumVLien17g2/e0ORbEju\nOc2NECGJmbJShVqXLdUmecstepksJmdu3qINMg5npPiATpC//510EB6YarMB19ZC4qymTC5aBGPH\nSvjJkoICKCmBe+6xnwHx6Qro2NF+hH9dnRbXa66xd3SOHZXSau/etnZBm3rLlvHNOomD1q3kWMfh\nkPTuLSfeOvqSmaVT9saN9nUZ147QZ2gdJcnIgCn3SFumcKut7UGDYPRopSGPHYOaMzb3JSNDk2Sz\nszVpt7paa6EF5zslB4ph956G283MhAcf0uf47rsSGHzvPb3zzY3gkMTMggVSRf3sM42THj/BJsqQ\nSMDSpfCb1+2dkdJS1aLMfFPfP/yIXRphzx6J+L37jtRhb7nVxi7odHDyJCxdIpHAzoYpsfLy+KIj\n3uu+VFTY6ntEFBXp8+tqLMYIelbiSIvFSVq6Tu5xOCQ9e+r93ldkb3v4cKX1SkpsnZLzoyTlhpGS\n3r113QsW6H5v325n+46JEkd8Z5YOCiVGo/RzWkoc9fRpePstmDlTqtYWpDolb70FixdDncFnmZYG\nd90Ft90GCxdqPVm8uOF2LzXBIYmRHduTL6BzmmxplT8sKFBNQGWlXkrLAr3Vq3TCKymRToml6u/m\nTbBsmV72KVNsN/a1a+G/fqXpmGPH2tkFmPUOzF8QT3Rk8SeqD8jPt1Wf9V6qrUVF2igt9Wzq6jQJ\ntqwZOiSgay4ttR+P3qKFHL+iInvF3Pwe0K6dHIclxptNFCWZNw/mGhfP3jFRz8uvXtH7b0VGhqKg\nx46peHaToe3sbB0Oioq0xhastbPtnD7Hyko4fBi+2mJjt64WTpYmD7wb1sN+42cw8N+nUR2SmhqY\nX1901aGDQpe3TbDZgKurdSIAvTiDBkJXIxGs6ioteKAHu6rKzmmorko6aGfPKmqUSNjYPnNGyrOV\nlXKmPvvM7hSZSCjFtHevFtaCAhu7IEdy5UqdmNLTVUdihXNShY2KLDca2379N7ovZ87AqlV2tr1X\nmjMqwp3/sa3tzz9T6rCoCN6aaWcbtHFlZsKWLSoEN7VdIIdn/Trbz9J7fX7p6UqvHDxo9+74Oh1A\nzpzRu7l3r11rbU2N3vPokPfVV1BrtJ44p3U2YvVqu7UqPx8GDkw2SyxdZmM7PQMmT4I770weEj76\nUM96cyFESGJixacqUJw2HV54Aa69Vg+MBV9+qZfxxjHwk59ISTfLqBOoYJ1sd+sGzz4HEyfZpWu2\nFurlyMyE731fBWRW0ZeiouTCdO21MH68XQHusWPJBTonxzatcqYmafvoUfuC1vR0OX+7dyu6Y4Vz\n+uwqKhQezmlhaxufbGXMNOw6ck735MABOHFCG7wlbfOUQj1zxjayCKq1OnZMX1dV2TkNzsHIEcn3\nvLrarpvHpUmZOIoqVlcr8mpBVpZqJ+68S59pVRXsNOpwyslR9OUHP9B7c/q0XQFti2yYMB5+/GMV\n3ZeV2R1yMrNg1Gj467+GBx7QZ7va8LAQN8EhiYHahKrin3pav1oWVp46DVXVeuAmToSWOXa2Ewml\nDiZPhqefsa852LxJbXXPP6/iTUv21BeH3XGHFijLVNDh+o2xc2d49BEJyllRnZKbfuABtfBZEm0y\nI0ZA9+62tiMHJzdXnWOWXN0/+XV/Y9Xfa1M2X0snDaBvX73zYN++3aED3Huvvq6rs53D0bIlPDZD\nBeyQfOYtyMiA739fBydIvqsWOKfi1meegfbtbVNCAD17ab0aPwHWrrFNjbfKhSl3w4svql3cMn2Y\nlg5DhsLzP1SqL65BctYEhyQG0jP0EFi2yEa0bAl33xVPm2VFuVrIrr/BvtPj5Ak5I08/De0N6yQi\n9hWpE+jGm+zv+5HDWuwem6GTkyVV9WHhseOgz1W2tkGbYosWKnazJpodM2qUXfQvok+fZM1Ld2Op\n+hYtFEUD+/k3oIhARkY882QGD9EJGOwKLSNatYLHH9evRw7b2nZpcNvtcPcUpW2s6dIVnntO72fl\naVvb6Rlw663w4IP23VMAHdrD3XfbRgIjnKsvtG70iso/j+CQNDPSYrzpee3UfRAHrVopcpFhOGQu\noqpKFebWp/SIMzXw+GO2s1Iiqqu0+d5q2G2USmYmTJgALa+wt92pozZe61kvoM28T336yto5Brj+\nev3ayThCAkrb3Hyz7UDFVCZOVEq12tghAchrK6fktPGmHnHddbo3VvUYqWRla6RCHI4gQLv20Mo4\ngplKnGt7oPG5LB2S5kocjkhETk48Q78ibpsQn6OWmQn33x/PpgsKOY+MwWEARReGDYvH2QG42jhV\nk0peO9U1xBGtA0XqOneOx3ZGhk7rcdGxg+YlxUXffvb1NanEudYE4uVyjpA4b9esH2TaAs2Smpr4\nTozeqyAvrrbf8nJo08Zh+B6fQ9wzVOK894HAJeCSbvHOOd/2ZMPe9dI8h/dN0zUJDkkg0MxxLj6H\nJBAIfCuX3CFpU9qwd72sbdN1SELKJhAIBAKBQKMTY5YyEAgEAoGAJU0ztmFDk46QHDlsq0cRUVFu\nPw4b1MdeaiwjHmGtMhpRVRXPlELv4+lwAKgxnC2RSm1tPM+bhWJpYxDXNXsf32TMuJ6NuJ7lswmo\njmMt8vGtGSdPxvNsVJ62b0cGrctHDGfGNDaXc1GrmUNSY/xSFRbCSy/Bzh22dqur4I03pIBpzedf\n6JqtZx+UlsEvf2krIx7x0ccw8y17u/uK4Oc/l46LJd7Dyy/Dlytt7YLG07/8kr3dykr4Pz+DfTFo\nZrwzy94mwI4dumZrx8HXwb/+i62mSsSSpfDb39rbPXQI/vmf7eeOeA+vvSYBUGtWr4FXXrFXsy0r\ng1/+IimdYcl770mk72yNrd2NG6URZDlsrjEJDsmfgaW0emGhlG5HjrRta0wkpB5ZVaUBRJZ8/TUs\nW6pZGZaDwSLNktxcGDDQzi5A8UFpW0QDsCxZtUotnW2MOzQOHdbExnzjQWAgCfU4OkrKyjUxtGVL\ne9uWk0hTaZEj2xXGQ65cmtrDreTqU+neHYqLk/o+VnTupOdipfF4cef07hUUwLHjtravGSb7H8+3\ntdumDdxwg7STrJSDIyZP1tj/996zE1gFTbzu31+aTJeLU3K50mRSNlGEJdUZuesum+l53utkNmc2\nfPMNPDrDduMpK4P33tU47DE32tkFnUS+/hq+d5+dFg/onixaBD16SHjQkuPHdMIeM8bWLkDhVg2Q\ns3ZIvNdmlt/D1i4kpeqtR97HSZv6ay2PIeyf30P32pqrrlILcWGhrV2XpsnMWzbbTyEdMUKqtouN\nlYlzcuCeKTpwbNtma3vCBK0bs2bZRmA6doLpD0tTav7HdqnOtHTNMTrfKbGO6l8qQoQkZnwdvPMO\nbN1q74ycOK60z6JFejGnTdd4dgtKShR1eWeWFoD77rMbyV5To1TNwkU6588FHwAACjRJREFUkfTs\naWM3Yvt2yW5PnGg/Rn7Vap2kIr0SK7yX+ODgQfYTG0tPavJmHJGX8jKNYrfU94mb3Fb6tdw42gC6\nx0eP2tdlZGbomdtq7JCATtlZWVIqtiQ9DSbeofexaJ+t7f79NZTvw4/kONQYpULS0mHqVEUx3q+P\nZnxjJAbYq5ech4ICKU5v2QynDZzA852SHTvg/febaW1XcEjiZcsWecXWzghI9XfePKUQ7vtectR2\nQ/Ee5s6Bt99SwdRD0yDbSBW1qgo+mKfrzs3VicSK/fuVE/9kMQweDD0MN+ATx6GqUuKD19+gRcCK\n2jqla06cgEGD7exGHCiWY9atm73t8vLmFR0ByEjXsxdHhCR65oqNQ/6gybJR2qbWMOyflaVpvmvX\nKpV1wjDF0q+fVIoXLYL9B+CwYa3KnZOTqZv33oeEUU3QFblSEd67F2a+qWu3YtBgpW+WLoWFC2H1\nahu7F3JKmmMKJzgkMZJInFvUdfiw1HotOFWhgqbTp3VCPXUKM0XHkhI5Irt3K3yZMMzl796tUOue\nPRJlqzMsLCwqgldf0wTO8ePt7IKKemfO1Ij3EcZ1KQvma2GKI12zcQMcOKDImfXU0CNHoLxCDoll\nt43354acLcPP0XW2bi2HxLpDoVVrRdD277Mvbo3SNp9/AUuM0yCjR0F1NfzuDVi/wc6ucxJ2LCmB\n3/1Oz6IV3ist9NVX2oD3Fdna7tZN61VRkQ4LFtTVqvMoM1ORnbVr7boiy8pVgxax+BO7PSHQcBrd\nISko0GkmLU0S2dOmadOxYPXqZJdA374wdKhd5CW1ytw52xPwjp3JrwsL7U41oFNpTU19uPX9pJKu\nBaUntZjW1cHs2VBrKA52+Iicy7o6FfnWGYZaCwpgXYEiU/Pm2YZx58yFnTu1CM6eY5cecw7efFM1\nUaDP0goPvD1LDvymzUobWpEa5v/8c9j6lZ3tRC3MmaO1ZO1aOGHYgl9TI9vOKcpo2T1WcUq2o/+P\nZeSo5qwckYgdhl2LrVqd+zxvMHLS0tJVlHvllfq+uhrWr7OxnZenOpXh1+raDx+GLYbP4KUgREhi\noroaPlshBdoXfySl2yuM1GLPVGtRatcOZjwGD0y1c3RqauCrLZJ+nzQZHn00mXNvKIla2LVLXw8f\nDk88DrlGwmxR4SYoyvD4Y5BjlGYCRV1A3SR33y1Jcisi5dMzZ+CmG21rSHJydG9KS2HYUNuamo4d\n9ZyfPAn9+trZBX2GUZGlZY1RmoPevRUdqaqCTp0MbafBwIFQUaF7btmRlpGueqvoNG2plpuVBXfd\nnYygnTR0dlrlwpNPJO+zZcFv2zbw1FPJeq4dO+0c7rw8ePJJGDde78ymjXbR3Lb1jsO0aTrsrVxp\nd8Bp00b1fj/8K6Vvli2NR1k5LoJDEhPflMCMGXIW2rWztb1xkxanv/orhXEtKSzUQ/3ss/p/WEVd\nAPbtk8MzcSLcd6+t4ufJkwqB9uoFj81QGsuKujpFurKy4OFH7CXIowVj4h3a5C2J2nEHDLBXRO5S\nr2abmwsDB9navrr/hb+2YPjw5ObbxViRd8DApAOVY9wK3SMfxt6qr603mfbtVRSfnp50vq3IzYUn\nnlDa8Ngx21lG2Vnw0EMaSVBWplosK9LSYexYOT0ZGbDbsCbDOT0rL74Ig4eo6cGSTvVdPd//Phz6\nxtZ2nASHJCau7ANdYygiBIX8xo2PR2Y7MwOefQ46G3XrpLKvCB55GG4cY9/9UlysMOijj0C24dwY\n0PRb72Hqg3ZdTKkkEkq7jRplbzsnRyf32++wtx09IyNH6gRvSX5+0pnq0MHWdotsdZaA/XPuHEyc\npK9bGkZIIm65VTNJ4jj19uql0/Xp0/YDvK5oqYhot25w0LjgN83BhPEw9QH4OoZCzvwe8PwP45nA\nm5UNkybZzqRKpWeveNr94yI4JM2QFjEsdBGDh6jgKg7GjFHVfRy0aCFnJw6595OlSrnFde3Z2bZt\n1ank5MjRad/e3naXznJ2rhtpbzstLb77DarpSk+3d3ZADsPQobYpm4j0NHVTpBs7gBFD6w871lES\n0P14/DFi05AdMkRFrnGQna10XFzEuaYHmgbOULa8GXZ0B6yorrZNAZ3P/v32s1gitmxW9MU6fRDx\nySdwRwzRF1AYe8gQh+F7fA5xXntZqVrQ+xvPq4mI85mJupysWv0DzZZLGnNwzvmMsw171xOZDu+b\nZqzkso2QBC4tcTojEN/GAop4xeWMANw69k//2bvvvsuQIUNIT09n/XkCIT/72c/o168fAwcOZNGf\nGPTQ17hQ9ny+7dobSpu20C+mMDzE+8w4F5yRQOMQR8rGOTfZObfdObfTOfe3F/jzts65951zm5xz\nq5xzgy72s865POfcIufcDufcQudcm4v924JDEviLJy3mt+DbJrQOHTqU2bNnM3bsuTv/tm3bmDVr\nFtu2bWP+/Pm88MILF4yCWNcC/ZH9mKfLxn3vA4HLDWuHxDmXBvwCmAQMBh52zp0ft/wpsMF7fw3w\nBPDvf8bP/h2w2HvfH1gK/M+L/dvCchAINCL9+/enX79+f+RszJ07l+nTp5ORkUHv3r3p168fa9as\naaSrDAQClzGjgV3e+33e+7PAW8B95/2dQcipwHu/A+jtnOt4kZ+9D3i9/uvXge9d7EKCQxIINEEO\nHjxIjx7J0v/u3btz0Lr1IhAINDtiSNl0B1LnAxfX/14qm4D7AZxzo4GeQP5Ffraz9/4wgPf+EHDR\niUZN2iHZsN5OECqVAwfgiGEvfkRNjdRo46gv3LEznntx5Ii99Dmo/W/PnnjGMhcXQ6WxMBtoRoP1\nmHSA22+/g4EDhzF06DCGDRvG0KFDGTZsGPPmzWuw7eMxfHagIuU4FHm9VyHrqQp726dOa/y6NXW1\nsHtXPO91pM9kTVW1Rrpb472GQsbR3ltcrGfDmqoq2GwsUdCYNFLb7z8Cec659cCLwAbguz4FF32D\nLLtsAoHAfxPn3DLgb7z36+u//zvAe+//qf77BcDfe+//SGrMOeeBf0j5reXe++XxX3UgELiUOOeK\ngF4NNHPYe/+H6ULOuRuA/+29n1z//Tlrz5+4jr3AUGDIn/pZ59w2YJz3/rBzrguwzHv/rY3hhnNA\nA4FAA0k9v3wA/N459y8oBNoXuGARSVNt4QsEArZ473vHYHYt0Nc51wv4BpgOPJz6F+o7ZCq992ed\nc88Cn3rvTznnvu1nPwCeBP4JFcLOvdiFBIckEGhEnHPfA/4D6AB86Jzb6L2/03tf6JybBRQCZ4EX\nfAhnBgIBY7z3tc65HwGLUBnHr73325xzz+uP/SvAQOB151wdsBV4+tt+tt70PwGznHNPAfuAhy52\nLSFlEwgEAoFAoNFp0kWtgUAgEAgE/jIIDkkgEAgEAoFGJzgkgUAgEAgEGp3gkAQCgUAgEGh0gkMS\nCAQCgUCg0QkOSSAQCAQCgUYnOCSBQCAQCAQaneCQBAKBQCAQaHT+P9UpIghj8SD0AAAAAElFTkSu\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e9cd630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"R = np.sqrt(X**2 + Y**2)\n",
"U = X / R\n",
"V = Y / R\n",
"plot_field(X, Y, U, V)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1-3 (b) Write a formula for a vector function in two dimensions whose direction makes an angle of 45° and whose magnitude at any point $(x,y)$ is $(x+y)^2$\n",
"\n",
"Well to achieve a direction of 45°, we can use\n",
"\n",
"\\begin{equation}\n",
"f = \\mathbf i + \\mathbf j\n",
"\\end{equation}\n",
"\n",
"But the magnitude is $\\sqrt{2}$.\n",
"\n",
"To maintain a 45° angle, $|u|$ must equal $|v|$.\n",
"\n",
"\\begin{align}\n",
"\\left((x+y)^2\\right)^2 &= |\\mathbf u|^2 + |\\mathbf v|^2\\\\\n",
"(x+y)^4 &= 2|\\mathbf u|^2 \\\\\n",
"\\frac{(x+y)^4}{2} &= u^2\\\\\n",
"u &= \\frac{(x+y)^2}{\\sqrt 2}\n",
"\\end{align}"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"U = (X + Y)**2 / np.sqrt(2)\n",
"V = (X + Y)**2 / np.sqrt(2)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(<matplotlib.figure.Figure at 0x174348748>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x17435ff28>)"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhsAAAFnCAYAAAAPL4uaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x174348748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_field(X, Y, U, V)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"u_i = U[4,4]\n",
"v_i = V[4,4]\n",
"x_i = X[4,4]\n",
"y_i = Y[4,4]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Write a formula for a vector function in two dimensions whose direction is tangential and whose magnitude at any point $(x,y)$ is equal to its distance from the origin.\n",
"\n",
"Vector functions that are tangential to the origin take on the form\n",
"\\begin{equation}\n",
"f = \\mathbf i \\cdot -y + \\mathbf j \\cdot x\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"U = -Y\n",
"V = X"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(<matplotlib.figure.Figure at 0x17467ad30>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x17472bf98>)"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAh4AAAFnCAYAAADpBkDeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNBqNRjNoaOGh0Wg0Go1m0Ph/i8vj78WfuEEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x17467ad30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_field(X, Y, U, V)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But to get the magnitude..."
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"C = np.sqrt(U**2 + V**2)"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAO8AAAAWCAYAAAAo7ctoAAAABHNCSVQICAgIfAhkiAAABXZJREFU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\n",
"text/latex": [
"$$\\left ( 8.94427191, \\quad 8.94427191\\right )$$"
],
"text/plain": [
"(8.94427191, 8.94427191)"
]
},
"execution_count": 61,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sqrt(X[18,14]**2 + Y[18,14]**2), C[18,14]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks like we got it."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Write a formula for a vector function in three dimensions which is in the positive radial direction and whose magnitude is 1.\n",
"\n",
"\\begin{align}\n",
"|\\mathbf F|^2 &= |\\mathbf u|^2 +|\\mathbf v|^2 + |\\mathbf w|^2\\\\\n",
"F^2 &= u^2 + v^2 + w^2\\\\\n",
"1 &= u^2 + v^2 + w^2\\\\\n",
"\\mathbf F(x,y,z) &= \\frac{\\mathbf i \\cdot x + \\mathbf j \\cdot y + \\mathbf k \\cdot z}{\\sqrt{x^2 + y^2 + z^2}}\n",
"\\end{align}"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADtCAYAAAAcNaZ2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAYfLeE1BblP+H8zP14tQoRSgAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x175e1fef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X, Y, Z = np.mgrid[-10:10:2, -10:10:2, -10:10:7.5]\n",
"C = np.sqrt(X**2 + Y**2 + Z**2)\n",
"U = X/C\n",
"V = Y/C\n",
"W = Z/C\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.gca(projection='3d')\n",
"ax.quiver(X, Y, Z, U, V, W, length=1)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"_I-4_ An object moves in the $xy$-plane in such a way that its position vector $\\mathbf r$ is given as a function of time $t$ by\n",
"\n",
"\\begin{equation}\n",
"\\mathbf r = \\mathbf ia\\cos \\omega t + \\mathbf j b \\sin \\omega t\n",
"\\end{equation}\n",
"\n",
"where $a$, $b$, and $\\omega$ are constants.\n",
"\n",
"- (a) How far is the object from the origin at any time $t$?\n",
"- (b) Find the object's velocity and acceleration as functions of time.\n",
"- (c) Show that the object moves on the elliptical path\n",
"\n",
"\\begin{equation}\n",
"\\left(\\frac{x}{a}\\right)^2 + \\left(\\frac{y}{b}\\right)^2 = 1\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment