diff --git a/content/data_work/surface_plots.ipynb b/content/data_work/surface_plots.ipynb index 87e93da..c310b52 100644 --- a/content/data_work/surface_plots.ipynb +++ b/content/data_work/surface_plots.ipynb @@ -4,15 +4,294 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Surface plots" + "# Surface Plots\n", + "\n", + "Prerequisites:\n", + "\n", + "* containers\n", + "* numpy\n", + "* matplotlib\n", + "\n", + "`matplotlib` is a powerful tool that allows multidimensional data to be visualised. We will start with a simple scatter plot and build up to two dimensional surface plots. " ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(-4, 4, 20)\n", + "y = np.linspace(-4, 4, 20)\n", + "\n", + "plt.scatter(x, y)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the above cell we generated two one dimensional numpy arrays, consisting of 20, evenly spaced numbers between -4 and 4. We then plotted these two arrays as a scatter plot. \n", + "\n", + "## Plotting two dimensional data\n", + "\n", + "There are many examples where multidimensional plots become useful, the most common is an energy landscape. An energy landscape is a mapping of possible states of a system. This concept is frequently used in physics, chemistry, biology e.g. to describe the possible conformations of atoms in a system as a function of conformational energy. \n", + "\n", + "In this example, we are going to plot a simple function. \n", + "\n", + "$z = x^2 + y^2$" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def xs_plus_ys(x, y):\n", + " \"\"\"\n", + " Calculates \n", + " \"\"\"\n", + " z = x ** 2 - y ** 2\n", + " return z\n", + "\n", + "x_grid, y_grid = np.meshgrid(x, y) # Generate two grids of x and y values\n", + "z = xs_plus_ys(x_grid, y_grid) # Calculate the x**2 + y**2\n", + "\n", + "plt.scatter(x_grid, y_grid, c=z) # Plot the x and y grids and color the points based upon x**2 + y**2\n", + "plt.xlabel(\"x axis\") # Label the x axis\n", + "plt.ylabel(\"y axis\") # Label the y axis\n", + "plt.show() # Display the plot" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`np.meshgrid` is a numpy library that generates a nxn grid out of two one dimensional arrays. We have generated two multidimensional arrays that corespond to all x and y positions within a two dimensional grid. We then use the function `xs_plus_ys` to generate the $x^2 + y^2$ values. \n", + "\n", + "This data can be plotted as a scatter plot, with each plot being colored based upon its z value, using the optional arguement `c`. However this can be difficult to visualise and matplotlib has many built in funcitons to help visualise this data. Below is an example of the contour method in `matplotlib`. " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "contours = plt.contour(x_grid, y_grid, z) # Plot x**2 + y**2\n", + "plt.clabel(contours) # Add labels to each contour\n", + "plt.xlabel(\"x axis\") # Label the x axis\n", + "plt.ylabel(\"y axis\") # Label the y axis\n", + "plt.show() # Display the plot" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`matplotlib's` contourf functions is similiar to the contour function except it fills the space between contour lines. Thus instead of lines which seperate individual regions, there are shaded areas. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.contourf(x_grid, y_grid, z) # Plot x**2 + y**2\n", + "plt.xlabel(\"x axis\") # Label the x axis\n", + "plt.ylabel(\"y axis\") # Label the y axis\n", + "plt.show() # Display the plot" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These colors represent a third dimension and it is useful to have a scale that shows the numerical that each color represents. This is achieved with a colorbar. Colorbars are added to the plot with the plt.colorbar() method. " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.contourf(x_grid, y_grid, z) # Plot x**2 + y**2\n", + "plt.colorbar()\n", + "plt.xlabel(\"x axis\") # Label the x axis\n", + "plt.ylabel(\"y axis\") # Label the y axis\n", + "plt.show() # Display the plot" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It is possible to combine these plots and have contour lines as well as the shaded regions. " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "contours = plt.contour(x_grid, y_grid, z, colors=\"black\")\n", + "plt.clabel(contours)\n", + "plt.contourf(x_grid, y_grid, z)\n", + "plt.colorbar()\n", + "plt.xlabel(\"x axis\")\n", + "plt.ylabel(\"y axis\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Customising plots\n", + "\n", + "As you will learn, there are many ways to customise plots in `matplotlib`. There are a few useful ways customise contour plots. \n", + "\n", + "* Both contour and contourf functions have an optional variable called levels which controls the the gap between contour levels. \n", + "* Many colormaps exist and can be altered with the optional variable cmap.\n", + "*" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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3K5OkPCtHErK4TDynk7K4kpjK/hvJuObosFosaLRaLly7QV2Tjr0xqQCYtQYOxiRx5tejaOxcOZyQjX1OPFYXL45eu03Mj9vRuvtwNkuScCUefc16HNmzHb+oS7h6erNv517uN3qi1elw8/IhuPF9uHn64Oblg5unD97VaiClRAhBy049FPm+2Yr83FwmjRpO3OEteDVuTb3eE9Ea7ZWOZbPUov4HDl7ViHh1CWe/mMKqmZO4fuE0/ca+Z9MLgpWWE3u2s3nlQjJSk3lp6gKqBdfFlJ8PdxV5o70DuTnZdzpG83Ky0RsM6P/Q9m21Wn53X35eLkY7e/LzcnFycUVbuA6KRKLRaMjLyUan12Mw2hV8ghCYTaY7z2vWrsudF5vHej5fat+Dyi457hZThg4g48a5ggW5HlcvkkqbYkVdCGEH7AaMhTm+llK+rVSeu+nsHAl9fipXf1zO3o3LOXXyDG8tWIG7l4/S0SqURi3aUP++B8nPy7vT+Wzn6IROp8PBuWDSV406Dbh27hRCU3DlfuKXbQQ2aIyhcPcqTeEVvbd/TZLjYu8cOys9FSe3Krh5epOWlIDVWtBZm5oQR3DDSJzdPMhKT7szIzE3KwuDnT06Q8EIC7WwlL7oE4eY+epgrKY8wgZNxzPs7/szVCVHyTFhecAjUspGQGPgSSHEAwrm+R2h0RDYbhANBrxHVuxlxvdqx+WoY0rHqnD0RjscXVzJz8tlyrMdWDPnXTYun8fUQV3ITEtFpzcQ+Ug7/jdrCusWfEBCzHUatWiDTqfnxoUzdwp50yc6cXTHjyTEXGffpnXUCb8fo50dYc1bcXTnj+j0BVfg0ScOE1AvjKDQcK6ePYlGU1C8D23bSGD9hhjs1Lf9ZWHX+lVMf7EnOjtHIkYtVQt6GVLsSl0W9IBlFt7UF/4rd4u7ezdujYN3DU4tHcv7g7sxYMI0m91dpjTZOTgy5J05mPLyyMvNJjsjHTvHgqv3dv2HsWfjGrLSUugydMydkSVXzpzAy78GHj6+hDVrxZmDe/j49SHYOzkzaPIs9EY7PHz8aNLqSSb1bYtA0PbZF++M0GndtR+LJ76Co4sbprw8Gj7YplyMbbdlZrOJ1R9NZsfXn+NR937qPzcZvYOL0rEqFUU3yRBCaIEjQDAwX0o59p+eX9RNMkqDKSuNqBUTSY0+wmM9B9Jt+PhKtSBYeWa1WMjOSCc/LxfXKl53fi75ublE7d9JdmY6tcKa4BsQfI8jqYojIyWJt4c+T9ql41R/pA+1Or54p1lNCeomGQqQUlqAxkIIN+BbIUSolDLq7ucIIYYAQwCM7sq1aesdXWn00iwuffcxW1cv4/DRE0z6eClOhRNoVMrRaLV/+XMw2NnRpPWTCiSqfK5fOM20VwZgykyhXr+3qRr5hNKRKq1y8V5USpkK7AT+9BcopVwipYyUUkYanJQtoBqtjpAuI6nbazypl04wtlc7bl46r2gmlUppB7du5J0BT4OUNBmxSC3oClOsqAshvAqv0BFC2AOPAueUyvNv+D7QgfDh87Ga8pnyXGeO7FDX9lBVPlaLhW8WfMDiCS/jXK0OkaOX41y9rtKxKj0lr9R9gR1CiJPAIWCrlPJ7BfP8K64BoUS+VrAry4KxL/LdklnqLkKqSiM7M52xA/uw6dP5+DXvTOOX52FwqbzrwZcnSo5+OQn8/dzyCsDo6kXjVz7mwpoZbFg6m32/HmXS3IXYFy54pVLZotvXLvHesP7kJMZQu9vr+Ld4WulIqruUizb1ikyrN1K39wSCnx5B0um9jO3Vgfib15SOpVKVipN7f+atfh0xZafTeNhctaCXQ2pRLwFCCKq36kHDF2eRl57Em33bc+bgHqVjqVQlRkrJppULmTPqeeyr+BE5ehluwRX6jbbNUot6CfKoE0nk6GUYXb2Z+Uo/tq5ahpLzAFSqkpCXm8P4lwbxzfxpeDd+hCYjF2Pn4at0LNXfUIt6CbP39KfJq4vxCnuI1bOmsHzKa5jycpWOpVL9J0m3YxjTuxPxx7YT1PEl6j83Ba3BTulYqn+gFvVSoDM60GDAuwS2G8y+H77m9b5PkxJ/W+lYKtW/cv7or0zo3Y6cxBgaDp5BzUf7qQuhVQBqUS8lQqMh4IkBhA6cSvbtq4zv3Z5Lp44qHUulKpKd33zBjKG90Du4EDlqKVUaNFc6kqqI1KJeyrwaPkyTkYvR6A1MHdKdPRvXKB1JpfpbZlM+n00dz+fTJ+BetykRo5bi4FNT6Viqf0Et6mXAya8WkaOX4xbcmBXvvM5XMydhNpuUjqVS/U5aUgJj+j3Drm+/pMajz9Jw8Afo7NU5FxWNWtTLiN7RhYYvzKR6q55s/98Kxj7Xg8zUFKVjqVQAXD17ijd6tSPjxjnqPzdZ8RUWVf9dhSrqGfG3sFrMSsf4zzRaHcFPD6denzdJv3KKsb3acSP6rNKxVJXcgR/X896gLiAETUYuwqfJY0pHKpbc1Hh+WTRd6RiKqVBFnbx0Lq2fp3SKYqvatC3hwxdgNeczZcBTHP55k9KRVJWQ1WJh7bypfPLWCJxr1CNy9DKcq9VROlaxWPJzOTBrBOboH5WOopiKVdSNztzcvZZb+zconaTYXGrWJ3L0cpz8arFw3EusXzxTXRBMVWay0tMY+3xvfvx8EX4PPk3joXMxOFfsBbmklOyZPRaZeh195GCl4yimQhV1YeeOxrsB5/83g9TLJ5WOU2xGV0/CX5mP7/0d2LhsLm8M6kdOZobSsVQ2LvbqRcb2ak/KhcPU6TGGOt1fR6PTKx2r2K5v+xxrzCF09Z9GW7WR0nEUU6GKOkKgjxyCcPDg+CcTMOdmKZ2o2DQ6A3V6vUFI11dJOrOfMb07EnfjqtKxVDbqxC/bebtfR8w5mTQeNg+/5k8pHalEpF8/y+UflqDxvw9tSOXe7apiFXVAGBzQN3kemZ3MxfVzlY5TIoQQVHuoG41emoUpI5m3+nYgav8upWOpbIiUkh9WfMzc1wZi71WdyNeW41bLNq5mLfl5HF08Aexc0TfqW+lnvVa4og6gqRKMNuQJYvdvJPH0XqXjlBj32pFEjF6G0d2HWSP7s+XLJeqCYKpiy8vJ5o0Xnmfdwhn4NHmMJiMWYafgfr8l7fIPi5CZt9GH90cYHJSOo7gKWdQBdHU7IVz8ObXyXUxZaUrHKTH2VfxoMnIRXg0fYs2c91g66VXyc9UFwVT/TeKtG4zp3YmEEzuo1WkY9fq9jdZgVDpWiUm5eIybO9egDWyF1ru+0nHKhQpb1IVWjz5iIORnsm/+W0rHKVEFC4K9R2C7wRzY/C1j+nQmOS5W6ViqCubckf1M7NOB3ORYGr4wkxpt+thU04Q5N4sTy95COHqha/CM0nHKjQpb1AE0rtXR1e2INeYQcUe3Kh2nRAkhCHhiAGGDppMdf50JvdsRfeKQ0rFUFYCUkp/XruTDYX3QO7kSMWopVeo9oHSsEnfx27nI7GT0TQYgdLbz7qO4FCvqQojqQogdQoizQojTQogR/+U42pAnEe5BnPlqOnlpCSUdU3GeYS2JGPUJWqMD01/sye71q5SOpCrHTPl5rHx/HF/OeAuPeg8ULMjlXUPpWCUu8fReYg9sRBvyJJoqwUrHKRIhxHIhRLwQIuqu+zyEEFuFENGF/7sX9zxKXqmbgdFSynrAA8AwIcS/bhQTGi36iAFgNXNg/gSb7Fh0rBpIxOiluIU0KfyDfVNdEEz1J2mJ8Yzp15VfvltNzcefI2zQdHR2jkrHKnGmrDROrXwX4VINXd2OSsf5Nz4F/jjechywXUoZAmwvvF0sihV1KWWslPJo4ccZwFnA/78cS+NUFV2Drljjooi1gdmmf0Xv4ELDIR9S/ZHe/Lz2M8Y+242MlCSlY6nKiStnTvBGr3ZkxkTToP+7BLV/AaGp0K2rf0lKyb6PJ0J+JvqI5xHaijNpSkq5G0j+w92dgZWFH68Eij1xQFfcA5QEIUQAEA78+hePDQGGAGD/99OYtYGtsMYe5/zXs3GvHYm95396fSjXNFodwZ1fxskvmPOrpzGuVzvGzl1OjdoNlI6mUtD+zetY/s5YDC4eRIxcjJN/iNKRSk380a1Ybx1BV+8pNK7VS/18Ts72RLa+99/XjvV4CiEO33XXEinlkiKcwkdKGQsFF7pCCO//GPUOxV/KhRBOwDfASCll+h8fl1IukVJGSikjhdH5H46jQR/eH4SGXxeMR1otpRdaYVXve5LwEQuRFgvvPN+FQ1u/VzqSSgFWi4U1c99j6duv4hIQSsToZTZd0PPSEjiz6gOEe1B5nDWa+FudKvxXlIJeKhQt6kIIPQUF/Usp5bpiH8/BA33DnsikaG7t31j8gOWYS416RLy2HCf/EBZNGMa6BR+oC4JVIlnpaYwZ0JMtXyzBv+UzNBo6G4NTsfvYyrUDi6aA1Yw+YoAtrfUeJ4TwBSj8P764B1Ry9IsAlgFnpZQfldRxNdWbIaqEcOG7RTaxNsw/MbpUIfzlefg268gPn85n3MC+ZGf+6c2OysbcunyBsT3bkRp9lDo9x1H7mVFotOWiJbXUpF05VdDsEvIEGqeqSscpSRuA5wo/fg74rrgHVPJK/UGgH/CIEOJ44b92xT2oEAJ9g2cgL50bO2x/+J9GZ6BOj3HUfmY0yWcPMLZXB25fu6x0LFUpObbrJyY91xlLXjbhr8zHr1knpSOVOiklxz6bAUYXtMGPKx3nPxNCrAL2A3WEEDeFEAOBacBjQoho4LHC28Wi2Mu7lHIPUCrT2zQeQWj8Iri69Uv8mj+F0dWzNE5Tbggh8G/ZFYeqgZxeMZG3n+3Iy1M/Jqx5a6WjqUqI1WrlhxXzWL/4I5yr1yV00DTs3Irdp1YhJJ7ajUy+iK5RX4TOTuk4/5mUstffPNSmJM+jeEdpadE16AJWM1d/XK50lDLjHtKEyNeWYefhy+xXB7D5s0U2OW6/ssnNzmL8CwNYv/gjfCKfIHz4wkpT0K0WM6f/NxvhVBVtzRZKx6kQbLaoaxy90Qa24tb+DWTdvqp0nDJj5+FLkxGL8G78CF9/PJXxLw0mLzdH6Viq/ygh5jpjenUk4eRuaj31CvX6vmVTC3LdS+z+jcjMOHQNutpS52ipstmiDqCr0x60Rg4vL3YzVYWiNdpT/7kpBHV4kfhj2xjTuxNJt2OUjqX6l84c3MPEPu3JS42n0YszqdG6l00tyHUv5pxMLmxYhKgSgqYS72T0b9l0URdGZ3R12mONO0nCqd1KxylTQghqPvYsYYM+ICfhJhN6t+PCsYNKx1IVgZSSbf9bwUfDn8Xg7EHE6GV41L1f6Vhl7vKmJZCXiT60W6V6MSsumy7qANpabRAu/kR9+QGWvMrXDOEZ+iARo5ais3fmg5d6snPdl0pHUv0DU34eK959nVUzJ1GlfjMiRn2Cg1c1pWOVuYwb54jZ/Q3awFZo3AOVjlOh2HxRFxod+kZ9ISeZq1sqT6fp3RyrBhAxainude7j82nj+XzaBMymfKVjqf4gJSGOMX2eZu/GtdR8YgChA6fZ5IJc9yKtFo4snQxGF3T1bWMP1bJk80UdCre/q9mC6z+vJvPWJaXjKELv4EzDITOo0aYvO9d9wZh+z5CenKh0LFWhy1HHGN+rHZmxl2gw4F2C2g22yQW5iiJm73pk6jX0Yd0RenV7un+r0vzW6Bp0Bb09h5dOrrTD/IRGS61OQ6n/7CTSLp/g1ScjOHNwj9KxKr2933/N+4O7odHpiRi5BO/GjygdSTH5GclEr1+Axqs+Gv/7lI5TIVWaoi4MTujqdUYmXSQ1+ojScRTlE/E44a/MB2DTgXMKp6m8LGYzqz6azPIpo3ENCitckKtibPhQWm7uWgPmXHQNe6qdo/9RpSnqANoaD4LRhZNrFysdRXFuweE8PHMnVe9ryxf7/zzcMfHWDc4fPaBAssohMzWFsf17sG31cqo91I1GL83G4OSmdCxFmXOzuLbzazR+TdA4+yodp8KqVEVdaPXoarXBGn+azJhopeMoTqMz3Pn4i/0xfLE/BqvFwq8/bWDu6IFs/nwRE3u0Ie7GVeVC2qCbl84ztlc7Ui+doG6v8YR0fdXmF+Qqilv7N4ApG13IE0pHqThFQc0AACAASURBVNAqVVEH0AY8DDoj17erQ/v+SErJ3OXfcOTnTXQbPp6Rsz6lUYtHOX1gl9LRbMaRHZuZ8lxnrKY8wofPx/eBDkpHKhesZhOXtnyBxrOOOoSxmCpdURcGR7QBDxN3dBs5SbFKxylXcpNukXLhEBke9Qlr1gqL2UxqYhx2jgWbk1TWDuaSYLVa+W7JLBaMfREH30AiRy/HNSBU6VjlRvzRbZCTUh43v6hwKl1RB9DVagMIbu5crXSUciX18gksudlUvb89X+yP4ebFs7h5+uDsXrCN4N0dV2qBL7qcrEzeGPwcG5bOpmrTdoS/Mh+jm5fSscoNabVybsMyhIs/Gm91a8biqpRFXdh7oKnWlJt7v8OUlaZ0nHLj5q61eNS7H63Bjrz0JFZv2MGpK/EE1A2785zUxDjOHNzDyvfGcnj7DwqmrRjib15jbK8OJEbtIfjpEdTtPQGtvvIsyFUUSWf3IzNuoQt5Uh3xUgIqZVEHCjpjLPnE7Cn2Lno2wWox41y9Dg4+AUDB2+Gs+GtUCW3Bd+dyATCbTaydN5UjP2/GP7gu3y2ZxU9fLVUwdfl25uAe3uzbnrz0RBq9NIvqrXqoResvRH3zCdh7oPGPVDqKTai0Xe4aF380Pg25sm0V1Vv3QmuouIvvlwSNVodrQCjH57+CS80GCI2W6q164BYcDhSMjtHs+wStTkfnIa/i4uFJ1ZpB3LhwVuHk5Y+Ukq2rlvG/Oe/h6FOTsMHTsfesfOu3FEXa1Shk0gV0YT0QmkpbjkpUpf4u6kKeIH/PDG7/+gP+LbsqHUdxvg90wKPe/WQn3MQ1MAzLXXu8pl46QfSePby54FNcPAp2kjq9fzd5udlAwc72V86cwNOvOq5VKm97sSkvl8+mjmffpm/wbPgw9fpMrJTrtxTV8dULQe+gboBRghRtfhFCLBdCxAshohQ5f5UQhHsQ0Zs+w2oxKxGh3DG6euEeHI4pK43rP68iO/4GAIlRv+D7QEd+vFrQfHDr8gWO7PyRp4aM4va1SyybPIqNy+YwuW9bdn37lZJfgmJSEuJ4ve/T7Nv0DQFtBxE64D21oP+D7LhrWGOPow1sXaG3qStvlG5T/xRQbAyTEAJdyBPI7ARSzqlrjd/N6FKFwLbPY3ApGPmi1duhcygY2vjF/hhmThxD22dfJD0lia2rluNfqw4jZ69kzKL/cTnqGKb8PCXjl7mLJ48wvldbsm9fJXTgVAKffL7SLshVVDH71oNGi65W5V3rpjQo2vwipdwthAhQMoPGJwxdo74416irZIxySaMz3Jl1as7JIPXCEdyCGnHzl2+Q0spNn5bEbfwM7+oBRLZpB0ByXCyXTh1BX7jlmtVqRWPjxW3PxjV8+v54jG5eNHppNk5+tZSOVO5JKYk5uB2NVz2E0UXpODal3P+1CSGGCCEOCyEOy7yMkj++Vo8u8GGOHFYnIv2ToE5DsVpMnFs1Fa3BjvrPTiY7/gbnbmVQK6wJVar6I6XkyM+badN9AACHtn7P6llTmDb4Ga6cOaHwV1DyzGYTX82cxIp3XsetVmMiRy9XC3oRZcVeRmYnovFtrHQUm1PuO0qllEuAJQAa9wB1xotCtHoj9fu9jSk7A31hM0zC9bPkpSexN9mVYGDvD1+jNxjxDQzmxJ7tbP58IZ0HjyKoQWO+mT+d59/6EA8fP2W/kBKSkZrMpGEDSY0+SrVWPajVaZi6fsu/kBj1CwDaqg0VTmJ71N9C1b/yW0EHMGWlYXB2R2u0Z/6qn7jx8/d07dEdU14upw/spnXXfjRq2QYpJT9+sRirxaJg8pJzI/os014ZQH56EvX6vEnVpm2VjlThXN37E8I9EGFXuVemLA3lvvmlLO3fcVrpCBWKe0gEqRePcXLxa1xY8wFuwU04Za3BrSsX0RkMtOzcEyiYhBPSKBJ7p4rfdnr4501MGfAUVouJ8OEL1IL+H+SlJSBTr6Kt2kjpKDZJ0St1IcQqoBXgKYS4CbwtpVymZCZV0dl7+tN03BckndmPXRVfHH0CMOdksnnd14x8ZwZQ0HF6I/oMRntHDHYVd9ia1Wplwyez2LhsLi4BDQh9fipGV0+lY1VIiacKdttS29NLh9KjX3opef6/Iq3WvxyKlpMYQ+rlE/g2badAqvKtSv1mdz5Ov34Oo6sne9Kq4J+fR/Txg8TfuErz9s+gNxiRUla4qfI5mRlMGv4iiVF78L2/A7W7v/a7tehV/87F3ZsRjl4IZ9voXylv1OaXP9g97cW/nIikNdhzdfMyTNklPwLHljj41CA7MYabv3zDO2+8wcZN2whpfB/BDSMAKlxBj7txlTG9O5J0Zj8hXUdRp9cbakEvBnNuFtaEc2iqNq5wvwsVhdpR+gcyM57Y/RvRGIzkpcSRn5mCKTMNa34OeWmJmHMyftdZqPo9OzdvQvu/w40dqzG4eODfsisXnavQ7N6fWu5EHdjNvLFDERoNjV6ahXttdcGp4ko+9ytYzWjVppdSoxb1P9Lbc3P3Wpyr1UZr54jB2QMn31oYXD0JbP8Cdu4+Sics9xx9g6jbe/ydpiwpJV/sj6FrQ1fsHZ2UjndPUkp++uoT1sydiqNvEGGDpmFfRW0qKAmJp34BvSPCQx3PX1rUov4Hwt6Duj1exDUw7N5PVv2j3/omhBDkJN7k1Y7t6PbCSB7p3r/cvvXOz81l5dRxHNj8LV6NWlG3z0R0RgelY9kEabUSF3UATdWGCI1W6Tg2Sy3qf6Cr3ZaoE7cIBdKvnSE3ObZgPLZLFXzv74Bj1QClI1ZIeid3XANC+WrmJK5fOEPfse/eWUqgvEiOi2XK0P5k3DhHYLvB1Hy8/L74VERCo8H4xAdgMSkdxaapHaV/INxqItOuc23rZ6RdOYm0WnH0q4XO3olrP33K7cNblI5YIensHAkdOI2aTwxgz8Y1jOnbhdTEOKVj3XHx5GEm9G5Hdvx1wgZNJ+CJAWpBLwVCaBC68vVibmvUK/U/sMYex3xtL3WGz/jTPpK39n1H0ul9VI18QqF0FZvQaAhqNxgnv1qc/fJd3ujVjtdnLyOogbKdZrvXr+Kz6ROxc69K45fn4VhV3c1eVXGpV+p/pDUgNLo/FXQpJbnJsQit2hZYXN6NHyFi5GI0Wj1TB3dj3w/fKJLDbDbx5Yw3Wfn+ONxCmhAxeqla0FUV3j2v1IUQDwLHpZRZQoi+QBNgjpTyWqmnU4DG2ReL3o5LGxdidPUiPz2RvLRETNnpOPoEUKvTMKUj2gQn/xAiRi/j9KcTWTZ5FDeiz/DMy2+g1ZXNm8eMlCQmDRtE6sWjVH+kD7U6vqh23pUydRmOslGUK/WFQLYQohEwBrgGfFaqqRQkHKqgjxiEwcmd9GunMWWlY+9VDd/721Pt4e4YXaooHdFmGJzcaPTSbPwfeoafvlrK2AE9yUxLLfXzXr9wmnG92pF+NYp6fd8iuPMwtaCrbEZRLovMUkophOhMwRX6MiHEc6UdTFEaLTcJo1m/nkonsXkarY7aXUfh5BfChbUzGNerHW/M+xT/WrVL5XyHtv3Akkmj0Du4ED5iIS416pXKeVQqpRTlSj1DCPEG0Bf4QQihBfSlG0tZ1rgopMWEtFqwmk1YLWasFjNSqsu5lxa/Zh0Jf2U+lvxcJvfvzNGdJTvKyGq1sm7BBywaP/RO049a0MuGtFr/8n5rVgKW6/vKOI3tK0pR7wHkAQOllLcBf2BGqaZSmDX5EphzERotGp0ejVaHRqtTh7iVMtfAMCJHL8fBpybzxwxhw9I5WP+mIPwb2ZnpjBvYlx8+nY9vs46EvzxPbUYrQyeXvP6X6ykJrRHzuQ3I/GwFUtmueza/FBbyj+66fR0bblMH0Nd/GihYfCg3+TbmnAyERotLzfpq22spM7p5ET58Aef/N53vlnzEvgNHmTR3AXYOjv/peLevXea9l/uTk3CT2s+Mxq9FF/XFuYzlJNwgdv9GLNcTkTnJyLwMZH4mmPOQuWlIUxbCoM7aLSl/W9SFEHuklC2EEBnA3e0OApBSyoq/48HfkNKKTLnKzV0HMedkIqUVpOTSxgW4h0RQ7eEe6qJepUirN1Kvz5s4+9fm4ncfM6ZXR7oOGMy/LcWxVy6yfd1XaHQGGg2bi3tweKnkVf0znb0TN3evxaL3QejsEHYuCBd/hJ0buvpPIxzUd00l6W+LupSyReH/la56yZQrmM9+h6lBQzxq34fO0RWNTkfV+57k5u6vuX1wE9Vb9VA6pk0TQlC9dU8cfYM4vfItPnt/3H86jtbOicjXlmHn4VvCCVVFZXT3Id31AQxVgpWOUikUZZz6o1LKbX+47zkp5crSi6UsS1wUwrU6IU+P+NNjjn61yI6/rkCqysmjblOaT16PKTu9SM+35udxfs0HpEYfQWvniHtIE7WgK6zmo/04dewG1uRLWFOuILMSkflZCDsXtDVboHFWfz4lqShDGt8SQnQFXgOcgKUUdJzabFHXuPhjufkrSWcPoDXYIy0mTNkZpF48SuatiwS1f1HpiJWK1mCH1nDvrfByk29zeuVbZMZcoMvQMfy4bo06A7gccK5eB7lzL5aYI6DVI4wuaFz9wWrBfP57tD5haKs/oHRMm1GUov4wMBo4Xnj7LSnlqpI4uRDiSWAOoAWWSimnlcRxi0tTtSEyL4Pr27/Eya8WonDki9HNG79mnXD0U99Gljepl04QtXw8VlMewz9cRqOWbfhx3VqlY6ko2JPUfG0vhshBCHv33z1mvrobS9ypSlHUy6reFaWouwP3A5eAakBNIYSQxRy0XTjefT7wGHATOCSE2CClPFOc45YEoTWgC2pNeOuXybp9hfzMVHR2DjhXq6N0NNVfiNm7nuhvPsKuih8TPv4a3wD1Rbc80RiMCI3uTwVdSonMTgJh+0tQlWW9K0pRPwBMk1IuF0LYA9OBvUDzYp67KXBRSnkZQAixGugMKF7UAaTVTGLUHrLjr2PKSseck0Fuciw6O0dqPfUKdm7eSkes9KxmE9HrZnNr77d41GvG5I8X4+DsqnQs1R84+gSA3g7T6XUIe7eCYYw5KWDKRjj7om/wjNIRy0KZ1buiFPVHC8emI6XMAYYLIR4qgXP7Azfuun2TgncEvyOEGAIMAcDeowROWzTWW0e5ef449p7VcPINQl+9Nlq9HfkZyZxZ+Tbhr8y/s7OPquzlZyQTtWICaZdO0PbZl+jy0uto1PbzcsnOoyr6iEFYruzEmnwFoTOgcfJBOPuh8QhE2NnEC7GnEOLwXbeXSCmX3HW7SPWuJBRl8tF1IYQ7EALcu7eq6P5q2PGfmnQKvzFLADTuAWU2T998Zh31xq3A6Or5p8eubfscU1YqBueye5FR/b+MG+c5tXQcpqxUhrwzl/uf6Kx0JNW9aLTogh9TOsW/5uGop28z/3s+bwckSin/aWfyItW7klCUIY2DgBEUtKcfBx4A9gOPFPPcN4Hqd92uBtwq5jFLjr0HqZeO41KzATo7B6S0kp+eTNzhH3Hwqn7vz1eVirgjP3Fu1VT0jm5MXPYNNeuqe8lWBNa4KDRe9UCjBfnb0g8ChKayzPAts3pXlOaXEcB9wAEpZWshRF1gcgmc+xAQIoQIBGKAnkDvEjhuidAFP07iyV2kXjyGRqsrmFlqtWBXxY+QZ0arV+llTFotXP5+Mde3f4FrrUZMmr8cF48/v4tSlU/W5Eto3AMRRudK0TH6F8qs3hWlqOdKKXOFEAghjFLKc0KIYg8DkVKahRAvA1soGOKzXEpZLlbRl1Ki9W1MvZbdybh5HktuFnpHNwwuHhhdve59AFWJMmVncOazSSSf3U+rLn3pNfptdHqD0rFU/8Jv6ylJUy4yOxFM2QVX6R5BiEpQ5Muy3hWlqN8UQrgB64GtQogUSuhtg5RyE7CpJI5Vkn57O2g152PJyyHz1iVyEmMwZaWid3TDr1lHnKvXVThl5ZAVd5VTS8eRmxhDv3Hv06pLnyJ/rhCCnISbmHOz0Nn9twXBVCXjt/WUrPFnkOacgiYYKbGeWYfGsy66Wo/a/KJeZVXv7vkSKaV8WkqZKqWcBLwJLAOeKu1gSpPmPG4f3MStfevJTbqF0c0bz9CWOPnV4tq2L4j5RZl9NSuTxKi9HPloMObsdMYsXP2vCjpA98FDyYq9zNFZQ8hOuFlKKVVF0SAQzGfXI01ZaDzrovW/D22N5ujDeiCzE7HcUNdVLyn/akNIKeWu0gpS3lgTzhKfuJewQdPQO/x+QUqdvRMJJ3bi37KrQulsm5SS69s+5/IPi3Hyr81bC1ZQpeq9RyD8UYsO3aji48fs11/kyMyBNOg/BY+6pTKKTHUPyWd/RbhWRx/a7U+PaVyrITNuK5DKNtl+Y9Z/pbMD5J8KusWUR8bNaLTq2/lSYcnL4czKt7j8/SK8wx/lg6+++08F/Tf17nuQd7/8AaObNycWjeb6jlXqDlYKcPQNQmbFY4mLwpoUjSXhLJaYI5hOfIUl9jja6uqLbUkpm63bKyCNsx8Olhpc+OYjdEYH8lITyMtIQppNuAY1IqTLSKUj2pzc5FhOLR1H5q2LdHvlDZ7o+0KJDHfz8q/BB6s2MmnEUC6tn0dmTDR1uo9FazCWQGpVUVRp8CCao2ewRG9BuPgXDG0UAmHvjj6gJcKlmtIRbUZRxqm/DHwppUwpgzzlhrBzoU7Pcdw+uIms21ex966Oe+1I7L2r4+gToHa8lbCUi8c4vXwC0mpm5KwVhDVvXaLHt3Nw5P3FK/hhxTzWL/6I7LhrhA2chtFNHc1UFrQGI7qg1hDUGmv6LcjPAJ09GrcaSkezOUW5Uq9KweIzR4HlwJbiLuZVETRr3QAA3/vbK5zEtkkpubX3W6K/mYW9pz8T5q+kas2gUjmXRqOh48ARVAuux8KJIzg883lCn38f10B1AlNZkFYz1rjTyMw4pCkT8rMxZyeB3g59aDdEGS4DYsuKMvplIgVLBCwD+gPRQoj3hRC1SjlbuSClRFqtBf/b/mtZmbKaTVxY8wEX1n6IR937mb76h1Ir6HcLf/hx3v70O7QGO47NG8at/RtL/ZyqgvWULJd/RmYnIOzc0XjVQxv0CBrvBuQf/qRg20hVsRWpTV1KKYUQt4HbgJmC5Xi/FkJslVKOKc2AShNCQOWYxlym8tOTiVo+nrQrJ2nffxhPvTC6TBfk8q9Vm2mrNjHp5UGcXz2VzJhogp8ejkardjOVFu3l79E0HYWwc/vTY5YLmyE/E4w2u/VxmSlKm/pw4DkgkYJdj16XUppEwTSwaMCmi7qq5KVfP0vUsjcwZaXxwnsf0/SxjorkcHJ1Y/qK1Xw9fxo/ffkJWbGXaTDgXQxOfy46quIzunuTnRiNcA9E6O1ASmRuGpabBxBOPkrHsxlFuSzxBLpIKa/dfaeU0iqE6FA6sVS26vbhLZxfPRW9kztvrviWGrUbKJpHq9PRY8REatSuz/J3xnJk5vOEDZqOk3+IorlsUY3WvTm9eS0i6QIILdKUDdKKcPBE17A3Qr1KLxFFWXr3rX947GzJxlHZKmm1cGnjIm78/CWutRozecFynN2rKB3rjmZtu1C1Zi1mjBjIkdkvUK/3RLzDi7sQqeo3Uko8w1qij3dBpl5DmnMRBieE0RVhr74zKknq5KM/yNv1PqZT/1M6hk0xZadzcsnr3Pj5S1p17csHn39drgr6bwLrN2Lqqk04+Ydw+fuFWEx5SkeyGXfmG1jMSHMeMi0Gy7U9mE6txnTiS6yp1/75AKoiU3uF7mLNuI1MuULQIza/tE2Zybp9lVOfjCE35TbPjp/Gw0/1UjrSP3L19OaDz78hLTGeH6/9+ZonJymW3JTbuAeHK5CuYrPk5WC5vhdrUjTC6Iywc0PjUQtpzsV8YTMazzoFY9lVxaIW9btYbx8HwDO0hcJJbENi1B7OfDYJjd7I2EWrCWl0n9KRikRvMOLpV52+fvDF/higoPko/vjPXPtpJUZ3Hy6smUHY4A9w8FJnQhZV8oVDOGafI7dxf4Th95P3LHp7LLeOglrUi01tfrmLJfY4wrU6dh6+Skep0KSUXP3pU04tHYuDdw3eX7WpwhT0P+rbzB8pJUlnDpBwfAe1Or9Moxdm4hn6IMnnflU6XoVSMAtb/qmgS4sJa+oNhM5emWA2Rr1SLyTz0pHJlwl4coDSUSo0S14OZ796j4TjP+MT8TiTZs3DYFeSW9uWvSdrWvn420O4h0RQpd4DWC1m8tIScfQtmCglpawsW7IVi6NPIA5eNcg8uQp0dsicFMhLQ1rMaKqEoAvroXREm6AW9UKW2yeBgh561X+TkxTLqaVjyYq9TLfh43mizxCbKHYXjh0kwAU0hUtGZN26hNHVE72TO8Dvvka1wP89g4sHdXqOw/XgJqIPHkbj5IPwqotw8kE4+yL06pV6SVCLeiFr7HGw98DJv7bSUSqklOijnF4xAWm18ursTwlt9rDSkUrM9jUraNvvJe57uBZpifEs+iUKS14OztX/f1fHvLREsm5fJf7oVjzq3Y93Y3U45F8RQuB7f3uuZgcoHcVmKdKmLoToJoQ4LYSwCiEilchwN2nOw5pwFv/IR9SrrH9JSsnN3V9zYsEI9E7uTPl8o00VdLPZRM26YfgGFUxGOrjte6prkqgS2gJD4ZW61WLm0ob5JJzYgaNvEFc2L+PGjtVKxi7XCtZRUtdTKi1KXalHAV2AxQqd/3esCWfBkq82vfxLVnM+F9bOJPbARqqEtmDy3EXYOzkrHatE6XR6gkLD+XBoL4IaNEaj1fFYr4HUaXL/nZExl9bPQ2h1BLYdiMHZAwefmmTGRCucvPwSQtD8kTD27ygX+8zbHEWK+m8zUcvLVbE19jjo7HFTxx4XWV5aIlHLx5N+NYoOz79C5yGj0GhsczBVy049CG3WivgbV6jVMILczEygYGTMx19sIvXSccIGTcPgXLB0bPLZX7Hk5wAFQyHTr5/F3sMPg4u6tKyq9JX7NnUhxBBgCAClsN6ylFYst0/i3bCFukJfEaVfO1OwIFdOBi9NXUBkG9tfc97dywd3Lx/SEuPZtuZTWnTohk+NQLyTj1GvV19iC4fBZt2+QsLJnUSMWkp23DWublmBKTuDzJgLBLYdiF9zdWLbb6QpF5kRg8ajUqziXWZK7dJKCLFNCBH1F/86/5vjSCmXSCkjpZSRwljyb+2tiRcgP0Nteimi24c2c2zuUIRWx1vLv60UBf1urp7edBo0AhcPTwAMdvY4urjSt1nBPqoX1n5IzTZ9MWWkcGPXGhx9g2j04kzCX/6Y9KtnsJrzlYxfrlRJ2Ub+vtlIU67SUWxKqV2aSikfLa1jlyTLxZ/A4KTOIr0Hq8XM5Q0LuLFzNW7BTZi0YBnObpWzOUFvMKIv3N80OyOds4f2EdK4KcZDK5HSim+zjlzasAB7r2p4NyqYIZmbGk/a1VNodAYApNWKsNHmqqKqen8Hbu37Dsu1PeiCK0S5qBAq9W+VNT0Ga9wpAh/thdZQsSfIlCZTVjonF4/mxs7VtOnen+mfram0Bf2Pur08DrPZxKfvjsFg78DE2YvJjr8BUuIaEIqdR1WklCSc2Em1h7oBEH9sOxe/ncPROS+Rfu2Mwl+BclwDGiCq1MZ8aSvSalY6js1QpBFZCPE0MA/wAn4QQhyXUj5R1jnM0VtAa8C/RZeyPnWFkRV7mVNLx5KbEkf/CdNp2bmn0pHKFb3RjsGTZ5OdkYaDsysATauc5Fd9Ng5+wQDcPrgJjc6Ag08Aiaf3cm3bFwS2HYRLzQZc/n4RdXtPwM69cm4SEdZ1CCeXvIb15iG0NZopHccmKHKlLqX8VkpZTUpplFL6KFHQZXYy1psHqdbiKfSOrmV9+goh4eQujswagiU/l3GL16gF/R/8VtABMlOTcfGownOtgkm7epqk03txDQzDasoj+dyv+Lfogmfog3hHPIYpKw1prbx7c3rUb4Zw8cd8cYs6Zr2EVNrmF/OlbYCkeit1vYk/klYrV35cTtSyN3Dwqcn7X20iuGGE0rEqjHr3Pcj5o78y59UBJPwwC7fgJrgFNyYr7ioanQG/ZgXb96WcP4RrUEN09o73OKLtEkJQt+PzyPQYrPFRSsexCZVyDJ/Mz8JybTc+TR5VV2T8A3NeNue+eJeEkztp1rYLz42fit6o9jf8G17+NZiy6idO7duBp191fAOC+fTn88Qf2Urt7q8DBR2nmbcuojXYV/r+HO+Ixzi7bj6W6C1ofcKUjlPhVcordcvVXWDOo0abPkpHKVdyEmM4OmsICad202Pkmwyc9JFa0IshrHlrfAMK2tWbOiVgdPXEpUY9rOZ80i4dJyfhBp5hLdHoDJW66UGj1RH8RF+sieexplxROk6FV+mKurSYMF/ajsY7VN1c+C7J5w9zeOZA8tISGDX3Mx7vPajczPi1BVVr1sKQFYffzW1cXD+PlOijuAY1wjWw4Mq0sn+vfZt1BL0D5ugflY5S4VW6om65sR/y0mnY/QWlo5QLUkpu7PwfJxe9isGlClM+/54G96sTsUqah48vL76/gGvnomhcqyqBbQfiE/G40rHKDZ2dIzVbPYP11jGsmXFKx6nQKlWbupRWLNFbEG41cQtuonQcxVlMeVxYM4PbBzfhGfYQk+YuxN7RSelYNsu/Vm0GvDkDq9WKRqPh8303lY5UrlR7qDvXtn+F5eJPaBr3UzpOhVWprtStt44hs+Kp/9TgSv92Ny8tgePzXub2wU10GjSSqZ+sVAt6Gflt4bN+zQv2N73wzUfsfLUlVrNJyViKM7h44PdAByzX9yFz05SOU2FVmqIuLfmYT3+DcKqKVyPbWe/7v0i7GsXhDweSFXuZodMX0XnIqza7wmJ517eZP9q4s0irhePzh5Ofnqx0JEXVaNMbpMR0+hulo1RYleYv2Xx+EzI7gUb9JyA0WqXjKCb2wPccmzsMjf7/EbGvwgAAIABJREFU2rvvuKrqP47jrw8bREVEFAEVZ86o3KVpOTNXZWpZzhxpmi01Ta3MgTkqR7k3Zu5BrvKXaWaK4AL33hORzeV+f39w9Wf9nAn33Hv5Ph8PHnm595zzhuDDud9zvp+vG4NnLeeZuo2NjpTjDZkbQdcvv+Xm6QPsHNOZm6cPGh3JMJ5+QRSt3w7z6W1kXD5gdBy7lCOKuvnmeTIOr6Vg5YbkK5UzJ9GYM0wcXjqeA+HD8SnxJKPCIwgq+YTRsTSLag2bM2h65tnprm+6cTFyvcGJjFO0fgfEyw/T7vmojJw9JPVvOHxRV0ph2j0fXNwp2fw9o+MYIj3xBrsn9+XMb4uo36Yzo2b9iLdPPqNjaf9Q9ImKjFwYQe4iZYmZM5SjKyeizBlGx7I6Zzd3Krbrj0q4kNlFVXskDl/UzWe2Y75ykNIte+XIlWcSzh1l55jO3Di2h46Dv6bNB4NxdslRNz3ZlTy+foTNWUydV9tx6pf57JnyMelJN42OZXX5y9fEqfAzmA6uwZx4yeg4dsWhi7oypZK+fwmSL4TCNZoZHcfqLkVvYte4rpjT0/h06k8893IroyNpD8HF1Y23+n3FW/2Hc/3gDiLHdiHxwgmjY1ld9W6DQZww6Yumj8Shi3rG0Y2QEkfoW5/kqAUJlNnM8Yhp7J85kFwBxRkeHkHxCnr9VXtT55U36ff9j5iSE4gc24Ur+7YaHcmq3H0KUKx+O8zndmG+dtToOHbDYSudSo3HdHgtTgGh+JR40ug4VmNKSWTfjAGcWDeDZ19uRdi8peQrkDN7dTuCUqFVGB4egWeBYPZO+4QT62fnqD4xwS+0Bfe8pO9bnKO+7sfhsEXddGA1ZKRRpWM/o6NYTdLlM0SO68rV/X/Q9sOhdPxstG7I5QB8CxYmbMEKCj5dn+NrfmD/rM/ISE02OpZVuLh7UaZFN9S1I5jPRxsdxy44ZFE3J1wk48RmCtdsjlfBokbHsYprB7YTOaYzafFX+fC7udRr3THHz5p1JO4ennw1aQqt3hvA5d2b2PVNd5Kvnjc6llUUqvYy4l0IU8wSvezdQ3DIom6KWQZOLoQ06mx0lGynlOLUpnB2f/8h7j7+DJu/hrJVnjU6lpYNRIRGb3Xn/fGzSLl2nsgxnbl+eJfRsbKdk7MLFdr0RSVcJOPkFqPj2DxDirqIjBaRAyKyR0SWiYhPVu0741IM5nORFKvfzuFvYcxISyV2/pccXf4dBSrVJix8FQUCixgdS8tmFWvU4fM5q3D1zsvuSX048/sShx9vzl/hOSR/KUyxK1Cp8UbHyXIi0kpE9ouIWUQq/+O5ASJyREQOisgDl/406kx9A1BBKVUJOAQMyIqdqrQk0qNmId6FKPJiu6zYpc1KjbtM1HfvcnHHWpp3/YDhP8zEwyvnLouW0xQqWpyw8DX4lq3O4cVjOPjjSMymNKNjZRsRoco7Q8CUQnr0XEf8I7YPeAXYfOcnRaQc0AYoDzQCJonIffucGLXw9Hql1K3BsT+BoKzYb/rehZByg6e7DsPZzT0rdmmTbhzfy84xnUi6eJJeo6fSrEsf3ZArB/L0zs3I6fNo0rEX57etImrCe6TGXzU6VrbJFVCcEi93w3w+GvPpbUbHyVJKqVil1N2a/jQHFiqlUpVSx4EjQNX77csWKkEn4Od7PSkiXUVkp4jsVKn3nlmXcS4K8+ltFGvQgTxFy2VHTptwbtsqor7ribObB0NmreCp5/VCCzmZk5MTr/T4mO7DJ5Fw9jCRX3ci/mSM0bGyTXDdNkj+kqTvWYhKsqmOln636pTlo2sW7TcQOH3H4zOWz91Tts0XF5GNQKG7PDVQKbXC8pqBgAmYf6/9KKWmAFMAnPIVu+t7LpUaT3r0XCRvEYo27PC40W2SOcPEkWXfcvb3xeQrU4WhE6bhnTfLLkVodq5KvSYUKhLCyN4difr2Xcq06U+hKo2MjpXlxMmZau+O4M/h7UiPmoVrzfcRyb5z09zurtQN8X+Yl15RSlW+3wsepibebbO7fO6+Y0/ZVtSVUvXu97yItAdeBl5UjzFAppQiPXoumJKp0mMyTs6O19ckLSGO/TMHEXdkFw3efIfXevbX/Vu0/xNcuhwjwyMY2rMLsfO+IOHsYYo37eFwvxOefoGUfrUPhxaFkXH8N1yK1zU60kN5UE28hzNA8B2Pg4Bz99vAqLtfGgH9gGZKqaTH2Zf59DbM56Mp0bQ7uQKKZ01AG5Jw9jCRYzoRf2IfXT4fR+s+g3RB1+4pd778jJqziBdatef0pnD2TPmI9CTHu1ukcM3mOPlXwLR/saOvaboSaCMi7iISApQC/rrfBkaNqU8AcgMbRCRaRL7/NztRSddI37MQyV+K4DqtszahDbgU9SuR47uhMjL4dNpiajR+xehImh1wcXHlzY+/oP2nI4k7vIvIMV1IvHDc6FhZSkSo3vMrcHIhfddMu29RLCItReQMUANYIyLrAJRS+4FFQAywFuiplLrvF2vU3S8llVLBSqlQy0f3R9+HmfSoWaDMVHt3uEOtZqTMZo6t+YH9swbhHViKEeERhJTLOf1rtKxRu0Vb+v/wIxmpSUSOfYfLezc/eCM74u5TgHJtP0FdO0rGkXVGx3ksSqllSqkgpZS7UqqgUqrhHc99pZQqoZQqo5S6500lt9jC3S//Ssbx3zBfjqXMa33w9LvvxWC7YkpJZO/0/pxcP5tazVoTNncJef0e6kKNpv2fkpUq89WCCLz8i7BvWn9OrJuJMpuNjpVl/J+un9l3PXYl5hunH7xBDmCXRd2ccAHT/sU4FaxAQI3mRsfJMkmXThM59h2uxWzLfPs8cBSuDny/vWYdvgUDCJu/guqNW3I8Yir7Zw3ClPpYl7JshohQo+eX4JaL9MgZevk77LCoK7OJ9MgZ4ORC9Z5fOUzTqquxfxI5tgvpCXF8NHE+L7Rq7zBfm2Y8Nw8Pugwdx+t9BnF5z2Z2jetG8tX73kRhN9y8faj49meo+DOYDtzrzsCcw76KugLT7gWo68cp3+5T3PMWMDrRY1NKZS5b9sNHuOcryLD5q3nimRpGx9IckIjQ8M136PvNbFJvXGLn1524fmin0bGyhF+FZyn8bEsyDq8j48wOo+MYyq6Kukq7ScbJ3yla/238Q18wOs5jy0hLJXbu5xxdOZECT9ZhdPgq/AoHP3hDTXsMFarX5ou5q3HLkz9zQfLNPzlEL5VSr7yfOds0ahbmuJNGxzGMXRV1kq/hVOhJQl7Kqhm4xkm5fpGob3twcdcGXunxMSN+mIG7p5fRsbQcomBwMcLCV5O/fE0OLxnHgfDhdt8QzMnFlZp9x4ObN2nbJxodxzD2VdRdPXm279d2v95o3NHd7Py6E0mXTvHe19No0rGXHj/XrM4zlzcjps6haZc+XNi+hqjvepJ644rRsR6LW25fKvcai1P+UkZHMYxdVcfchYri4mHf7WXP/bGC6Inv4eLpzdA5Kwmt9W9mDmta1nBycqJF1w/oMXIyieeOsXOM/TcEyx1Umuc/Hm90DMPYVVG3Z+YME4d++pqDP44iX6lnGBW+hsIhOfdsQrMtlV94icGzluPk4kbUt+9y/q8IoyNp/5Iu6laQlnCd6Im9ObtlKY3adWPUzHBy5clrdCxN+5ugkk8wKjyCPCEVOTB/GIeXfoM5Q68Jam90Uc9mN88cYufXnbh5KoZ3vhhPq96f4uTsOC0NNMfi7ZOPsNmLqNemE2d++5E9339AeuINo2Npj0AX9Wx0cddGdo3vBkoxcNpSqjdqaXQkTXsgZxcX2n4whI6fjc68qD+mMwnnjhodS3tIuqhnA2XO4Oiq74mZPZjcQWUYER5BsbIVjY6laY/kuaavM2DKIszpaewa15XLu38zOpL2EHRRz2Km5AT2Tu3HqY1zqN2iLWHzlpA3v/3PfNVyphIVn2Z4eAReASHsmzGA4z9Pc6iGYI5IF/UslHTxJJFju3DtwHbafTKMtweMwMXVzehYmvZY8hUoyOh5y6jZ5DVOrJ3BvhmfYkpJNDqWdg+6qGeRqzHbiBz3DumJ8Xw8aQF1X3tLTyjSHIaruwedBn9Nm76Dubp/K7vGdSX5yhmjY2l3oYv6Y1JKcXLjXPZM+QgP3wCGLVhDmaerGx1L07KciFC/bWc++HYOqfFX2DmmM9cO5uzmWbZIF/XHkJGWQsycIRxbNRn/0BcIC1+FX0CQ0bE0LVuVq/ocX85bg3veAuye3JfTmxY6REMwR2HUwtNfisgey/qk60WksBE5HkfKtQvs+qY7l6J+4dWe/Rj+/XTcPTyNjqVpVuEfVJSw8NX4VazFkeXfcmD+MDLSU42OpWHcmfpopVQlpVQosBoYbFCOfyXuaDQ7x3Qi+cpZeo+Zzkvt39Xj51qO4+GVixFTZtG86wdc2PFzZkOwuMtGx8rxjFp4Ov6Oh7kAu3nvdnbLMqInvIeLVx6+mLuKJ5970ehImmYYJycnmnXpQ8+wKSRdOMHOMZ24cXyv0bFyNMPG1EXkKxE5DbyJHZypm03pHPwxjEM/jSbfE1UJC19NoaIljI7l8NJSUlj+wxj6tXiOxRNGkhj/vynrGSYTv69YyIIxQ9n7xyYyTHfvU5KcmMD1Sxe4GXcNs77HOls8XachQ2atwNnNg6jvenH+z9VGR8qxsq2oi8hGEdl3l4/mAEqpgUqpYGA+0Os+++kqIjtFZGdawvXsintfafHXiJ7Ym3N/LOelDj0ZNX0+Xrl1Qy5ryDClU65qLSrWrENy4k1Sk/+3YHLE7Ikc3r2T3D6+bAifwfGY6LvuI2L2JMa/34FhHZqx85c1tz8f89cWxvR6k49ers7W1YsxZ2QAkJqcxMpp3/Dth53Z9vNS0tP0WPHDCCxRmpHhEfiUDOVA+HAOLRmrG4IZINuKulKqnlKqwl0+/rky7ALg1fvsZ4pSqrJSqrKbd77sintPN08fYOeYTtw8fYCuw77j1Xc/0Q25rMjdKxeln6pKyUrPkCuPD86W770pPY3927dQq1lrmnbuTVCpJzgUteN2Ab51Rv5HxFJuXr/KgGlL6D9lMdvXreDM0YMArJk1kbqvvc3gOavZsmoRx/ZHAbDo269IunmDGo1a8seaJRzbF2XAV26fvPP6MGrmQhq80YWzmxeze/L7pCXEGR0rRzHq7pc7G4k3Aw4YkeNBLu5cz65vuoMIg2YspVqDZkZHylGUUrcvQKcmJ4NSOLm4AHD6cCz5AwLJ6+cPwBPP1OD6pfMk3Ii7tTEAe7b+Srmqz+Hi6ko+/0JcOn0Cc4aJ6M0bCC5ZluIVQsnj60ceXz+unj9LSlIi548foUbjllSp/zIh5UM5sieStJQU638D7JSziwut3/+MzkPGEn98H5FjOpNw9rDRsXIMo8bUR1qGYvYADYA+BuW4K2XO4OjKicTMHUruImUZGR5B0TIVjI6V44jI7aKeYUrHydn59pl6SmICrq5uuLp7AODs4kp6WipO/7gL6caVS+T28b3drsHd0wulFOdPHCVfwUK4e2SuC+sXEERKchInYveQPyCIXHkz3xWWerIy1y+dJzkhHu3R1GzyKp9OW4w5I53I8d24FP2r0ZFyBBcjDqqUuudwi9HSk+KJmTOUa7F/UufVdrT9YIju35JFbl6/ytXzZ4m7cpG4yxeJu3KRp+o0pGiZChzevYMCgUXw8SvI7i2/8PPsydyMu0aPEZMIKvkE6WlpcEfBdvf0IiU5CRfLmXtqchKubm64urv/7Zhmc8bfPpeWmoK7hydpqSl458mLs4srAAqFk5MTqclJuLi64mb5Y4EIpvT026/THk1IuScZER7B5+92Yv/MQSQ06EBI4y52v86wLTOkqNuqxAsn2DutHynXzvP2gBE83/INoyPZrZtx1zgZuxefAgUJKvkEpw/FMLRd47+9Rpyc8CscTNEyFWj8VHmcnJ0IDPKnbkhberRqSUpKMrm8c+Pi4sLFogGkpuSjSaXMkbtnA+sy78sPqR1SEJ98vqwdv5UXqlWhQdliuLr+rwCvKVOGAHMidUMyh2lMifE0frIMnIrh8qWLmM2ZF0fjLl+kZKXK5PbxJTH+Bk7Omb8aKYmJuHl44uKm/7D/Wz5+BQmbt5T5YZ/x+8pZJJw7Qrm3htj9esO2Shd1iyv7thIzZwhOru70m7yQUqFVjI5kVzJMJtbNn8qJ2D2cjN3DlfOZzZ7qt+lMmw8G06ZuTdK+GEmxkBL4FwqgYKEA8vv53z7T/id3Dw/cPTxISLjJGy0aceLoYdw9PFi97Cemzl+CTz5fGjdtybBBn1CocCCnThyjb//PcHV1JXbfHnx8fQkoHETTV15ncfgcKj1Vmci/tlG1Zi08Pb14/sUGdG3Xiu69P8LNzY3P9u9izKjRFA4MZtaQ3jwf4k+evD5M2riKp55vgJtltnDsjq1sW7uMYmUrUaxsJYJLPnF7CEi7N1c3d9oPHEVw6XKEj/2CyLHvULHLKLz8g42O5nByfFFXSnFywxyOR0zBO7A0QybPwreg3XUtsBqTKZ1je6M4tj+Kkwf24VOgIK37DMLJ2ZmNC6fj5uFJtarVqBjag4qhz1C+Uih5LOuxdunx6JdOcuXyZvz3M0lNSSEpKZH4GzfI5Z0bgHf7fsJP82cTd/0aHw/6gkIBgQDsiYokuFgIAYWDeP7FBmzd/CvdO7Qmd+48jJ00HXcPDwoHBtOgSTNerlsNEaHbex9SODCzwLTr2JU+XduTN18+8jhDzzdak9cnc4x9y6qz7P79F7au+gkAZ2cXAkuW4YPv5pHbx5fUlGTc3D30DOO7EBFefL0DgcVLM/7j7kSO7UK59p+Tv6xugJeVxJ4a8eQpUlZV/mhGlu0vIzWZ2AVfcTn6Vwo+04Ch477DzUOfdd3LT98OZ/OKcJJuZl409C0USLOmzRk8fAwAyUlJeHp5GRnxkWRkZBB/I46UlGQK+Be6/a4hJTmZ335dT/yNGzxdpRolSpX523ZKKc6dOcXe3VHsjd7Ftqhoeo2eiogwa9gnxO78g9Da9QmtVY9ST1XFRY/H/5/LZ0/xZc+OJJ4/Rolm7xJct22W/yHc1KdmpFKq8uPso2LoM2rlxq0PfF3xAp6PfayskmPP1JOvnmff9P4knDtCq/cG0LBdN312dYcr506z+/eNHIjcRo8Rk3FydsbN04vGTZrzYsOXqFytJn4F/P+2jT0VdABnZ2fy+eb/v897eHrSsEnze24nIgQGFyUwuCiNXm7xt+cSXn6JGdeu8Nuy+WxcOANP7zw817QVbfra/KRpqyoQWITR4asY0uddjq6YQMLZw5Rp3R9nN/cHb6zdV44s6tcP72L/zEEos4n3x8+iYo06RkeyCZfPnmLLqkVEb97ImSOxAASElOQJj3QCgwKoO3y4wQltX9OWr9O05eskJSaydfOvbFy7hmTLbZNms5nvP32XUqFVCa1VjwKBRQxOayx3Ty9G/DCTNTMnsOz7r0m6eJIKXUbi4eP/4I21e8pRwy9KKc5uWcqRpePxLBDEwAmzKFS0eBYmtC9pKSnE7thKwSIhFCpanJi/tjC291uUDq3Kqy1a8GKDJoSUKGl0TIdx8cI5Xm3WiHPHMyfiBJYow5O16vFc09cpGFzM2HAGi968gUkDe+Ps5kH5TsPxKV7psfeph18cnNmUxqHFYzi/bRX5yz/L59/9gKflgltOcyJmD/9ZOo/t61eSlpLMSx16MmH01zwX1JQ36p+665CE9vgKFirMlr/2cOLYUX5Zv4bFy5exdu73lA6tQsHgYty4epkMU3qOvFAfWrs+Q2evYHivjkRP6EXpVh9RuIaewf1v5Iiinhp/lX0zPiX++F6adOxFi24f4pQDJz8opQjr3ppDUdtx8/CkxautadL8VarWrAWAq6urLuhWUKx4CTp3703n7r2Ju34Nr1zebD0bx/oF01g3fwpPPlePOq++SflqtXPUz2nh4qUZtTCCIb26cHDhSBLOHqZkyz635wxoD8fhv1vxp2LZN60/6ck36T58ElXqNTE6ktUopTh1aD/7/vgPL3XoiYhQvlot3mzTluavtbl9q6FmHJ98vgDUDfGnZJ8+hPjmZv7cmURvXo9fQBD12nSiftvOBqe0nlx58hI2cyFLJo5i7bwfSDx/jPIdh2FEMz975dBj6hd2rOXgwpG45fGl/7czCS5dLhvT2Y6rF87y59rl/PnzMs4dP4yLmzu//BFNcNFiRkfTHkJaWhobIlYy8YfJ5M1fgK5ffgvArk1rKVvl2RwzbPjn2mVM//IT3HL7UqHzSHIHlX6k7fWYugMxZ5g4tmoypzeF41PyaYZOnEbufDljWGHftt8Y1+dtAEo9WYVhX3/HS81euX1GqNk+Nzc3mrR4jSYtXiM9PR1XV1cWbPqDif264eruTmjtBtRo3JLy1Ws79D3w1Ru1pFCREoS935ld33Sn7BsD8X9KrzT2IA5X1NOT4tk/ezDXD/zFC63a07rvZw77g6+U4lDUdn5ZNJvST1WlXuuOlAqtwocDhtL0ldcpUizE6IjaY7rVx6ZtnRqU/fk/LP8pnGVLFrFjwyq8fXzpM3YGxSs8ZXDK7FOsXCVGLFjD0J6d2D/rMxLOHibkpa66Idh9OFRRT7xwnL1T+5Fy/QLtPx1J7RZtjY6ULTJMJnb+GsG6eVM4eWAv3nnz0fD5WrebVlGun7EBtSwnIjxVuRpPVa7GwC/D+H3TBlYuXURAscxbTmP+2oKbhwclK9nECECWyuvnT9jcJcwfPZjfV8wh4dzRzIZgnt5GR7NJDlPUL+/dTOzcL3B286D/Dz865A/3LdOG9uWv9SspWKQ4X42ZQMtWb+Dh6Wl0LM1K3NzceLFhE15s+L+L/iPeGceR3TspUfFpGrz5Dk8/39ChVuhydXOn/acjKVKmPAu+Hkrk2C5UfCcML/+cPYHrbuz+PYwymzmxbib7pvXHy78IXy2IcLiCfu3iOX76djhxVy4C8EKrt5k6bzFbd+yl7duddUHXWL5iLUNHjCX+2hUm9+/Bp6/V+dt6rI5ARHjhtbf5eNIC0hPjiRzbhasx24yOZXPsuqibUpPYP2sQxyOmUr1xS8Lmr8C3YIDRsbLMyYP7mDq4D/1b1GJ9+DRczsRSN8Sfri0yz9Jy0j3M2v155crF21168EdkDBNnLCCPrx+m9HQAkhNu3j4hcARlnq7OsAVr8PANYM+Ujzj5yzzs6S6+7Ga3wy/JV8+xd2o/Ei8c5/U+g2jwRheHaciVYTIxvm8HYrb/jrtXLtq/04OOXXsSGFzU6GiajXN2dqZx05Y0btoSpRT/OXGZTUvmsvyHsVRv3IIGb7xDUIkyD96RjfMLCCJswUqGvt+LYysnkXDmME+0HYCzm+6yapdF/fqhneybOQiUou83s6lQvbbRkR6bKT2NAzu3UaHG8zi7uBBQtATNGjWizVudyJPXx+h4mh0SEeqG+FO8/dvkSrnBwvmz2brqJyrUeJ6Gb3albJVn7fpEyN3Ti+HfTydi9iSWTh5N0qVTVOw8Ag/fQkZHM5Sh799F5CMRUSLi9zCvVyjObP6J3ZP74pYnP1/MW233Bd1sNrN93QoGvf4i4/q8zcVTx6kb4s/UiZPp2usDXdC1x1Y0pDhDR45j2+7DfDhgKKcOxvDznMl2XdBvERGadOhJ7zHTSb5yhp1jOhN3NNroWI9MREaLyAER2SMiy0TE547nBojIERE5KCINH7Qvw4q6iAQD9YFTD7tN6rULHF4yjvzlaxIWvtruO9vF/LWFYR2aMuWz3nh4eTMjfDmta1c1OpbmoPL55qfnB/3YvucwM2fMBTJnH0/5rDcXT58wNtxjevK5F/l8zkpcvHITPeE9zm5dbnSkR7UBqKCUqgQcAgYAiEg5oA1QHmgETBKR+97WZOSZ+jjgE+Chr3CkJ96gaefejJg6B89c9n2PasKNOL77qAsJN+IYO2kGm7bsoE69hg5x9qTZNnd3dwoULETdEH/yXD9N9OYNzPjiQ6NjPbaAYiUJC19NvjJVOb5mitFxHolSar1SymR5+CcQZPl3c2ChUipVKXUcOALc98zPkN4vItIMeFEp1UdETgCVlVJX7vHarkBXy8MKwD7rpLwnP+CuWa3MFnLYQgawjRy2kAFsI4ctZAAoo5R6rEY5IrKWzK/nQTyAlDseT1FK/au/LCKyCvhRKTVPRCYAfyql5lmemw78rJRafK/ts+1CqYhsBO52xWIg8CnQ4GH2Y/nGTLHsc6fRTXNsIYOt5LCFDLaSwxYy2EoOW8hwK8fj7kMp1SgrssD9a6JSaoXlNQMBEzD/1mZ3i3W/42RbUVdK1bvb50WkIhAC7LYMNQQBu0SkqlLqQnbl0TRNM9K9auItItIeeJnMUYxbhfsMEHzHy4KAc/fbj9XH1JVSe5VS/kqpYkqpYmSGfloXdE3TcioRaQT0A5oppZLueGol0EZE3EUkBCgF/HW/fdnbfeq2cPXDFjKAbeSwhQxgGzlsIQPYRg5byAC2k+NhTADcgQ2WEYw/lVLdlVL7RWQREEPmsExPpVTG/XZkV4tkaJqmafenm4domqY5EF3UNU3THIjdFvVHbTGQxcf+0jKdN1pE1otIYWtnsOS459RiK2ZoJSL7RcQsIla9jU1EGlmmTh8Rkf7WPPYdGWaIyCURMWz+hIgEi8gmEYm1/L/oY1AODxH5S0R2W3J8bkQOSxZnEYkSkdVGZTCKXRb1f9NiIIuNVkpVUkqFAquBwQbluOvUYivbB7wCbLbmQS1TpScCjYFyQFvLlGprm0Xm9G0jmYAPlVJlgepAT4O+F6nAC0qpJ4FQoJGIVDcgB0AfINagYxvKLos6/6LFQFZSSsXf8TCXgTnuNbXYmhlilVIHrX1cMqdKH1FKHVNKpQELyZxSbVVKqc3ANWsf9x8Zziuldln+fZPMYhZoQA6llEqwPHS1fFj9d0NowJWsAAADnElEQVREgoAmwDRrH9sW2F1Rt7QYOKuU2m1wjq9E5DTwJsadqd+pE/Cz0SGsKBA4fcfjMxhQyGyNiBQDngK2G3R8ZxGJBi4BG5RSRuQYT+ZJn9mAYxvOJu9Tz6oWA9mVQSm1Qik1EBgoIgOAXsAQI3JYXvPPqcVWz2CAR54+7ehExBtYArz/j3eTVmO5hzrUcn1nmYhUUEpZ7XqDiLwMXFJKRYpIHWsd15bYZFG3hRYDD5rSe4cFwBqyqaj/y6nFVs1gkEeePu3IRMSVzII+Xym11Og8Sqk4EfkPmdcbrHkR+VmgmYi8RGaTrTwiMk8p1c6KGQxlV8MvttJiQERK3fGwGXDAmse/I8e9phbnBDuAUiISIiJuZPacXmlwJkNI5hnOdCBWKTXWwBwFbt2BJSKeQD2s/LuhlBqglAqy1Ic2wK85qaCDnRV1GzJSRPaJyB4yh4IMuYWMzKnFucmcWhwtIt9bO4CItBSRM0ANYI2IrLPGcS0XiHsB68i8MLhIKbXfGse+k4iEA9uAMiJyRkQ6WzsDmWenbwEvWH4Ooi1nqtYWAGyy/F7sIHNMPcfdUmg03SZA0zTNgegzdU3TNAeii7qmaZoD0UVd0zTNgeiirmma5kB0Udc0TXMguqhrDk1E/jA6g6ZZk76lUdM0zYHoM3XNJohIFUtfeA8RyWXpx13hLq9bLiKRlue7Wj5XVEQOi4ifiDiJyO8i0sDyXILlvwEistkyMWefiNSy7leoadahz9Q1myEiw8js1+EJnFFKjbjLa3yVUtcs09B3AM8rpa6KSBcy+4xsB0oqpbpZXp+glPIWkQ8BD6XUV5Ze7F6WNrWa5lB0UddshqWHyw4gBah5t1XTRWQo0NLysBjQUCn1p+W5dUBJIPRWwb6jqNcGZgDzgOVKqehs/nI0zRB6+EWzJb6AN5n9bDz++aSllWo9oIZldZ2oW68TES/+t0iI9z+3tSxmURs4C8wVkbezIb+mGU4Xdc2WTAE+I7Mv/Ki7PJ8XuK6UShKRJ8hcuu2WUZbtBgNT/7mhiBQls8/2VDI7Gj6dxdk1zSbYZD91LeexnDmblFILLGPef4jIC0qpX+942Vqgu6UL4EEyl/BDRJ4HqgDPKqUyRORVEemolJp5x7Z1gI9FJB1IAPSZuuaQ9Ji6pmmaA9HDL5qmaQ5EF3VN0zQHoou6pmmaA9FFXdM0zYHooq5pmuZAdFHXNE1zILqoa5qmOZD/Amim+wDTYo5LAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "color_levels = np.array([-20, -10, 0, 10, 20])\n", + "\n", + "contours = plt.contour(x_grid, y_grid, z, colors=\"black\", levels=color_levels, )\n", + "plt.clabel(contours)\n", + "plt.contourf(x_grid, y_grid, z, levels=color_levels, cmap=\"Blues\")\n", + "plt.colorbar()\n", + "\n", + "plt.xlabel(\"x axis\")\n", + "plt.ylabel(\"y axis\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Excercise\n", + "\n", + "Write a function to solve the calculate \n", + "\n", + "$z = sin(\\sqrt{x^2 + y^2})$.\n", + "\n", + "Plot this function as a contourf plot, displaying contour lines and a colorbar. Use the the x and y variables that have already been defined. " + ] } ], "metadata": { @@ -31,7 +310,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.7.4" } }, "nbformat": 4,