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udemy-ML/04-Matplotlib/06-Additional-Matplotlib-Co...

981 lines
835 KiB

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___\n",
"\n",
"<a href='http://www.pieriandata.com'> <img src='../Pierian_Data_Logo.png' /></a>\n",
"___\n",
"# Advanced Matplotlib Commands Lecture\n",
"\n",
"### NOTE: There is no video for the notebook since its really just a reference for what method calls to look for. We also highly recommend doing a quick StackOverflow search if you're in need of a quick answer to what Matplotlib method to use for a particular case.\n",
"\n",
"In this lecture we cover some more advanced topics which you won't usually use as often. You can always reference the documentation for more resources!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Logarithmic scale"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is also possible to set a logarithmic scale for one or both axes. This functionality is in fact only one application of a more general transformation system in Matplotlib. Each of the axes' scales are set seperately using `set_xscale` and `set_yscale` methods which accept one parameter (with the value \"log\" in this case):"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
{
"data": {
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jgpXVbBljjDHGBAhLtowxrnhu5nNuh2CMMX5hyZYxxu8OnznMlz9/6XYYPmU1W8ZkDVaz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b54ab10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(10,4))\n",
" \n",
"axes[0].plot(x, x**2, x, np.exp(x))\n",
"axes[0].set_title(\"Normal scale\")\n",
"\n",
"axes[1].plot(x, x**2, x, np.exp(x))\n",
"axes[1].set_yscale(\"log\")\n",
"axes[1].set_title(\"Logarithmic scale (y)\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Placement of ticks and custom tick labels"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can explicitly determine where we want the axis ticks with `set_xticks` and `set_yticks`, which both take a list of values for where on the axis the ticks are to be placed. We can also use the `set_xticklabels` and `set_yticklabels` methods to provide a list of custom text labels for each tick location:"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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WN5i1YRbrDqwrbu+Z2JOf9/k5Y3qNoUOzDg5WKNKweL1w4MCZAa0opO3Z4zvb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\nEPT/AT0NOs5Aq2cMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b3de690>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10, 4))\n",
"\n",
"ax.plot(x, x**2, x, x**3, lw=2)\n",
"\n",
"ax.set_xticks([1, 2, 3, 4, 5])\n",
"ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n",
"\n",
"yticks = [0, 50, 100, 150]\n",
"ax.set_yticks(yticks)\n",
"ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # use LaTeX formatted labels"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are a number of more advanced methods for controlling major and minor tick placement in matplotlib figures, such as automatic placement according to different policies. See http://matplotlib.org/api/ticker_api.html for details."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Scientific notation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With large numbers on axes, it is often better use scientific notation:"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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wzs0H9oWyvJmlAGOAe51z+c65j4E3gavqXKmISIRbsGkBaYlpDDtlmN+lnCBcB2gzgGLn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\n+P+EBLR7ohLfjwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b7a0f10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 1)\n",
" \n",
"ax.plot(x, x**2, x, np.exp(x))\n",
"ax.set_title(\"scientific notation\")\n",
"\n",
"ax.set_yticks([0, 50, 100, 150])\n",
"\n",
"from matplotlib import ticker\n",
"formatter = ticker.ScalarFormatter(useMathText=True)\n",
"formatter.set_scientific(True) \n",
"formatter.set_powerlimits((-1,1)) \n",
"ax.yaxis.set_major_formatter(formatter) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Axis number and axis label spacing"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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hl9Yk7NgBixYFITF/ftXzli3Qr1/QxVQREv36QVZW2BUrOBQc0mSt3baWcTPG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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106d4c710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# distance between x and y axis and the numbers on the axes\n",
"matplotlib.rcParams['xtick.major.pad'] = 5\n",
"matplotlib.rcParams['ytick.major.pad'] = 5\n",
"\n",
"fig, ax = plt.subplots(1, 1)\n",
" \n",
"ax.plot(x, x**2, x, np.exp(x))\n",
"ax.set_yticks([0, 50, 100, 150])\n",
"\n",
"ax.set_title(\"label and axis spacing\")\n",
"\n",
"# padding between axis label and axis numbers\n",
"ax.xaxis.labelpad = 5\n",
"ax.yaxis.labelpad = 5\n",
"\n",
"ax.set_xlabel(\"x\")\n",
"ax.set_ylabel(\"y\");"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [],
"source": [
"# restore defaults\n",
"matplotlib.rcParams['xtick.major.pad'] = 3\n",
"matplotlib.rcParams['ytick.major.pad'] = 3"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Axis position adjustments"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Unfortunately, when saving figures the labels are sometimes clipped, and it can be necessary to adjust the positions of axes a little bit. This can be done using `subplots_adjust`:"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dyZBuQ/wOp8WpEIiI1HL/J/eT2CqR28bc5ncoYaGmIRGRGlZvX819H9/HsuuWRe0Txxor\nPn6liMhRKCkvYeKCidx3zn307djX73DCRoVARCRgWvY0+nXsx9XDr/Y7lLBS05CICLBk8xIeX/U4\nq25cFRPPGGgMnRGISNwrLC1k0kuTePT8Rzmm3TF+hxN2GlksInHvxtdupKSihLkXzfU7lJBpzMhi\nNQ2JSFxbuGEhb375JqtuXOV3KL5RIRCRuLW7aDfXvXodz/zkGTokd/A7HN+oaUhE4pJzjivmX0Hv\n9r3533P/1+9wQk5NQyIiR/DcmudYs2MNT1z8hN+h+E6FQETizpb8Ldz+5u28cdUbtG3d1u9wfKfL\nR0UkrjjnmPzyZG495VZG9hzpdzgRQYVAROLKI0sfYX/Jfn77g9/6HUrEUNOQiMSN9bvXc3f23SyZ\nvITEVkp/QTojEJG4UF5ZzqQFk5iWNY3juh7ndzgRRYVAROLCnz76E2lJadw06ia/Q4k4OjcSkZiX\nsy2HBz97kJwbcuLmGQONob+IiMS04vJiJi6YyJ/P/TO92/f2O5yIpEIgIjHtrnfvYki3IUwYNsHv\nUCKWmoZEJGZlf5XNvC/mxeUzBhpDZwQiEpPyS/K55qVrmHHBDLqmdPU7nIimm86JSEya/PJkElsl\nMuPHM/wOxRe66ZyIxLWX173MB19/ENfPGGgMFQIRiSk7Duzgxtdv5MXLXyS1Tarf4UQF9RGISMxw\nznHDazcw6YRJjDt2nN/hRA2dEYhIzHhy1ZPk7clj3qXz/A4lqqgQiEhM+Hrf1/z72//OOxPfISkx\nye9wooqahkQk6lW6Sq55+RruGHsHw7sP9zucqBNRhcDMss3soJnlm1mBmeXWWHaWmeWaWaGZvWtm\nx/oZq4hEjgc/e5DSilJ++f1f+h1KVIqoQgA44CbnXHvnXJpzbjCAmXUB/gbcBXQGlgPP+xemiESK\ntTvXcs+H9/DkxU+S0CrB73CiUqQVAoD6BkD8BFjjnPu7c64UmAYMN7OBYY1MRCJKWUUZExdM5L/O\n/C8yO2f6HU7UisRC8Ecz22Fmi83s9MC8oUDVyBDnXBHwZWC+iMSpez68h/R26Vw/8nq/Q4lqkXbV\n0K+AtUAp8FPgFTMbAaQCO2qtmw+khTc8EYkUn2/9nEeXP8rKG1bqhnLNFFGFwDm3tMbHJ83sSuB8\noBBoX2v1DkBB7X1Mmzat6n1WVhZZWVkhj1NE/FVUVsTEBRN56LyH6JHWw+9wIkJ2djbZ2dlN2jai\nbzpnZguBhUAJcLVzblxgfjtgJzDCObe+xvq66ZxIjNtfvJ8r5l9Bt3bdeOqSp/wOJ2I15qZzEdNH\nYGYdzGy8mSWZWYKZXQX8AHgDWAAMNbNLzCwJuBtYWbMIiEjs+3LPl4yZPYYBnQcw96K5focTMyKm\nEACtgXvw+gJ2AjcDFznn8pxzu4BLgenAHuBk4Eq/AhWR8Ht/0/ucOudUfnHKL3joRw+R2CqiWraj\nWkQ3DTWWmoZEYtOM5TP4j/f/g2d/8ixnZZzldzhRQc8jEJGYUF5Zzh1v3cGbeW/y0c8/YkCXAX6H\nFJNUCEQkIu0r3seV86+k0lXy6ZRP6dS2k98hxaxI6iMQEQG8TuGxs8cyoPMAFl61UEWghakQiEhE\neX/T+4ybM47bRt+mTuEw0V9YRCJGsFP4uUuf48x+Z/odTtxQIRAR3wU7hd/Ke0udwj5QIRARXx3S\nKXztp3RM7uh3SHFHfQQi4ptgp/DALgNZeNVCFQGfqBCIiC+CI4VvG30bD573oDqFfaS/vIiE3WPL\nHuM/s/9TncIRQoVARMJGncKRSYVARMIi2CnscOoUjjDqIxCRFlezU/j1Ca+rCEQYFQIRaVHBkcK3\nj75dncIRSv8iItJiHlv2GHdn381zlz7HGf3O8DscOQwVAhEJufLKcqa+NZVFeYtY/PPF6hSOcCoE\nIhJS+4r3ccX8KwDUKRwl1EcgIiGzYfcGxs4ey6Aug9QpHEVUCEQkJN7b9B7j5nqdwg+c94A6haOI\n/qVEpNmCI4XnXTpPncJRSIVARJos2Cn89sa3WTJ5Cf079/c7JGkCFQIRaZJgp7BhfDLlE/UHRDH1\nEYhIo23YvYExs8YwqMsgXpvwmopAlFMhEJFGCXYKTx07VZ3CMUL/giJy1B5d9ijTsqepUzjGqBCI\nyBGVV5bzb2/+G+9seoePJn+kTuEYo6YhETmssooynlz1JMP+Ooy8vXl8MuUTFYEYpDMCEamjuLyY\nOSvmcO+Se8nsnMnD5z3Mmf3OxMz8Dk1agAqBiFQpKCng0WWP8udP/8zJPU9m3mXzGNN7jN9hSQtT\nIRARdhft5sHPHuSRZY9wdsbZvPmzNzkh/QS/w5IwUSEQiWPbCrZx/yf3M2fFHC4dfCkfT/5Yt4yO\nUhUVkJsLn3/uTY2hQiAShzbt3cS9S+7l+S+eZ9LwSay6cRV9OvTxOyw5Ss7B1197CX/pUu81Jwd6\n9IBTToFRoxq3P3POtUykPjAzF0u/RyTU1u5cyx8/+iMLNyzkxpE3cvuY2+nWrpvfYckR7NpVnfCD\nrwkJXtIPTiefDJ06VW9jZjjnjqp3X4VAJA4s+3YZ0xdPZ8k3S7h99O3cNOomOiR38DssqceBA7Bi\nRXUTz+efw+7dXqIfNao68ffqBQ1dxKVCICI45/jw6w+Z/tF01u5cyy+//0uuPelaUlqn+B2aBJSX\nw5o1hx7pb9gAxx9f3cRzyilw3HHQqpGjvlQIROKYc443vnyD6Yuns/3Adn5z6m+YOHwibRLa+B1a\nXHMONm6sPspfuhRWroQ+faqP8keNguHDISmp+d+nQiAShyoqK/hb7t+Yvng6Dsed4+7ksiGXkdAq\nwe/Q4tL27dVH+cHEn5JyaPPOyJHQoYVa6FQIROJIaUUpz6x+hj8t+ROd23bmrh/cxfkDztco4DDK\nz/eu2qmZ+PPzq5P+qFHe1LNn+GJSIRCJAwfLDjJ7xWzu+/g+BnYZyJ3j7iTre1kqAC0oeNnmypWw\napU3rVzpHf0PGwajR1cn/v79G9+uH0oqBCIxLL8kn0eWPsJfPv0LY/uM5bfjfsspvU7xO6yYU1wM\nX3xRneyDiT8lBUaM8Nryg68DBniXc0aSxhQCDSgTiRK7inbxwKcP8Ndlf+WH/X/IO5Pe4fhjjvc7\nrJiwY0d1sg++5uV5R/XBZH/hhd5rtxgcdqEzApEItzV/K/d/cj+Pr3ycy4dczq9O/RWZnTP9Disq\nVVTA+vV1m3aKiw89wh8xAoYMCc3VO35R05BIDPhyz5fcu+Re5q+dz89H/JypY6fSq30vv8OKGvn5\nsHr1oUf5X3zh3YahdtLv06fhwVnRSE1DIlHIOceaHWtYlLeIt/LeImdbDjeNuon1t66na0pXv8OL\nWM7B5s11m3a++84bmDV8OJx4Ilxzjdeh27693xFHHp0RiPhox4EdvJ33Nos2LmJR3iJSWqdwbua5\njM8cz1n9ziItKc3vECPK7t3eHTZzc70RuTU7cIcPj/wO3HBS05BIhCopL2HJN0tYlOcl/o17N3JG\nvzMYnzGe8Znj1faPd4S/dauX7NeurU78ublQUgKDB3vT0KHVST8WO3CbS4VAJEI451i3a52X+Dcu\nYvHXixnSbQjjM73EP7rXaFontPY7TF+Ul3u3XKiZ6HNzYd067wh/8GCvwzaY+AcP9tr3Y60tv6Wo\nEIj4aHfRbt7d9G7VUT9Q3dyTcRad23b2OcLwOngQ/vnPugk/L89L7DUTfXCqeTtlaRoVApEwKqso\n49Mtn/JW3lssylvEul3rOK3vaVXJf2CXgXEx2nffvrrJfu1a2LYNMjPrJvuBA70jf2kZKgQiLcg5\nR97ePN768i0WbVxE9lfZ9O/cvyrxj+09lqTEKL4AvQHOeYm9dsLPzYXCQhg06NBkP2QIZGRAoq5P\nDDsVApEQ21e8j/c2vVfV3FNSUeK182eM5+yMs2PqKV/Owc6dXtNNcNq40RuIlZsLbdrU35zTu7fa\n7yOJCoFIM5VXlrN069KqTt7V21dzap9Tqzp5h3YbGtXNPWVl3rX3NRN9zfdJSd6RfGZm9dS/v3eE\n36WL39HL0VAhEGmCr/Z9VXXE/96m9+jToQ/jM8Zzbv9zGXfsOJITk/0OsVEKCupP9Hl53uWZPXpU\nJ/maST8jAzp29Dt6aS4VApHDqHSVbMnfQu7OXNbtWse6XevI3eW9dzjOyTiH8ZnjOSfjHHqk9fA7\n3AYF2+trJ/ng5wMHqhN87aP7vn29Jh6JXSoEEveKy4vZsHtDnWT/z93/pGNyRwZ1HcSgLoMY3G2w\n977rIHql9Yq45p6SEu/+9/Ul+k2bIDW1bpIPfu7eXW328UyFQOLG7qLdhyT64LQlfwv9OvVjcNfq\nRB+c2idFxs1mKith1y745hvYsqXu61dfeffL6d27/kSfkQFpugOFHIYKgcSUisoKNu/fXCfZ5+7K\npbSitE6yH9x1MBmdMnwdsXukJL9li9dOn5rq3fmyd++6r337wrHH6tJLaRoVAolKRWVFrN+9vk5z\nzobdG+ia0vWQRB983z21e9ibcw6X5Gu+P1KSD05t24Y1dIkjKgQSkcory9l5YCfbD2xne+F2vt7/\ntddpu9tL/N8Vfkdmp0yv3b5L9RH+cV2PI7VNalhirJ3k6zuar53kD5foleTFTyoEEjZlFWXsOLCj\nKrkf8npgO98Vflf1eV/xPjq37Ux6u3TSU9Pp074Pg7sOruqw/V7H75HYKvTtIJWVsHev9zjCmtP2\n7Yd+3ratOsnXl9yV5CWaqBBIs5RWlNZN6jWS+/bCQII/sJ38kny6pnStSu7p7dKr3ndP7X7I/K4p\nXUloFZobxBcV1U3sh0v0u3Z5narHHFP/lJ5e/dq7t+5/I7FBhUAOUekqOVB6gD0H9zSY3INH8IWl\nhXRL6eYl8lrJveZr99TudEnpQitr1ewYKyq8h44c7mi99lRWVp3AG5rS06FrV10zL/EnJguBmXUC\n5gDnADuBO51zz9VaJ2YKQXllOQUlBRSUFlBQUkB+SX7V+4LSwOeay0vzD7v+gbIDJCcm0ym50yHJ\nvHu77nWSe3pqOp3bdm5ScnfOu/HYvn3etH9/9fv65tVM/Hv3eqNZjya5H3OMd4Sva+RFDi9WC0Ew\n6U8GTgJeB8Y653JrrBPWQuCco7yynJKKEorLiykuL6ak3HtfUlHCgdIDDSfyBhJ7SUUJqW1SaZ/U\nnrQ2aaQlpZHWJs37HHhf53NSGptWbGLcaeMOWT+1TepRNclUVnoP/G4okTeU4Pfvh+RkL6HXnjp0\nqDuvU6fqxN+lS+guk8zOziYrKys0O4tC8f77QX8DiMGH15tZCvATYIhz7iCwxMxeBiYCd9Zcd9V3\nq6oSce3kXHN+ffOOanmNRF9cXgxA28S2JCUmkZyYTHJiMkkJ3vu2rdtWJ/JAom6f1J70dun079y/\n3kQeXD+ldUqDl0WWl3sP/CgqqvFaBK++PY1hXUezraju8uDR+uESeUGB11HaUBLv08d7AHh9ib19\ne2gdAQ/bivckEO+/H/Q3aKyoKATAQKDMOZdXY94q4PTaK056aVJVIk5OTK5K0IfMq/E+LSmt7vJ6\nknpSYhJJCckkkkyiJdE68GoukYoKr427vJyq9xUVUFpaT7LeW/15axF8WXt5Pa/1zauo8K5cSUk5\n9HXXLu8Sx9rzU1KgXTtvRGp9SbxjR6+5JZ4f9i0Sr6KlEKQC+bXm5QN1Bth3X7CqKhEXV8CBwyTp\nwyXvhuY75yXK+qbExLrz2rSpm5DrS96dOkHPnvUn7/pe27b19l3fCcO0ad4kInK0oqKPwMxGAB85\n51JrzLsDOM05d1GNeZH/Y0REwiSm+giA9UCimWXWaB4aDnxRc6Wj/dEiIlItKs4IAMzsWcAB1+Fd\nNfQq8P2aVw2JiEjjNX8kUPjcDKQAO4CngRtVBEREmi9qzghERKRlRNMZwWGZWSczW2BmhWa2ycx+\n6ndM4WRmN5vZUjMrNrM5fsfjBzNrY2azzOwrM9tvZjlm9kO/4wo3M3vKzLaZ2T4zW2dmU/yOyQ9m\nNsDMDprZk37HEm5mlh347flmVmBmR2w5iYlCADwCFAPdgJ8BfzWzwf6GFFZbgT8As/0OxEeJwGbg\nB865DsDUTOOzAAADVElEQVR/AC+Y2bH+hhV2fwT6Oec6AhcC95jZiT7H5IeHgc/9DsInDrjJOdfe\nOZfmnDtiLoz6QlBj1PHvnHMHnXNLgOCo47jgnHvJOfcKsMfvWPzinCtyzv3eOfdN4PPrwCZgpL+R\nhZdzbq1zrjjw0fCSQqaPIYWdmV0J7AXe9TsWHzXqCsqoLwQcftTxUJ/ikQhgZunAAGpdYhwPzOz/\nm9kBIBf4Fljoc0hhY2btgf8HTKWRyTDG/NHMdpjZYjOrcweG2mKhEBz1qGOJD2aWiHdl2ePOufV+\nxxNuzrmb8f5fjAP+DpT4G1FY/R6Y6Zz71u9AfPQrIAPoBcwEXjWzfg1tEAuFoBBoX2teB6DAh1jE\nZ+bdqe9pvOR3q8/h+MZ5Pgb6AP/qdzzhELgDwdnAX/yOxU/OuaXOuQPOuTLn3JPAEuBHDW0TLSOL\nG3JUo44lbswGugI/cs5V+B1MBEgkfvoITgf6ApsDBwSpQIKZDXHOnexvaL5yHKGZLOrPCJxzRXin\nv783sxQzGwf8GHjK38jCx8wSzCwZSMAriklmFnf3ETWzR4FBwIXOuVK/4wk3M+tmZleYWTsza2Vm\n5wJXAu/4HVuYPIZX9EbgHQw+CrwGjPczqHAysw5mNj6YA8zsKuAHwJsNbRf1hSAg3kcd/w4oAn4N\nXBV4f5evEYVZ4DLR6/GSwPbA9dP5cTamxOE1A32DdwXZvcBtgSuoYp5zrtg5tyM44TUbFzvn4ulq\nutbAPXi5cCdebrzIOfdlQxtpZLGISJyLlTMCERFpIhUCEZE4p0IgIhLnVAhEROKcCoGISJxTIRAR\niXMqBCIicU6FQEQkzqkQiIjEORUCEZE4p0IgEgJmlmFmuwO3QsbMegYeDHKa37GJHIkKgUgIOOc2\n4j0Q5GkzawvMBeY65z70NzKRI9NN50RCyMxewns6VCUwyjlX5nNIIkekMwKR0JqF97zsh1QEJFro\njEAkRMysHbAKeA84DxjmnNvnb1QiR6ZCIBIiZjYbaOucm2BmjwEdnXNX+B2XyJGoaUgkBMzsQrxH\nIt4UmDUVODHOnpAmUUpnBCIicU5nBCIicU6FQEQkzqkQiIjEORUCEZE4p0IgIhLnVAhEROKcCoGI\nSJxTIRARiXP/B7XhPC7uO4akAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b7b4950>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 1)\n",
" \n",
"ax.plot(x, x**2, x, np.exp(x))\n",
"ax.set_yticks([0, 50, 100, 150])\n",
"\n",
"ax.set_title(\"title\")\n",
"ax.set_xlabel(\"x\")\n",
"ax.set_ylabel(\"y\")\n",
"\n",
"fig.subplots_adjust(left=0.15, right=.9, bottom=0.1, top=0.9);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Axis grid"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With the `grid` method in the axis object, we can turn on and off grid lines. We can also customize the appearance of the grid lines using the same keyword arguments as the `plot` function:"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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s22fzwCUPVOi+dstFgKx1aE+Si+/M2z6PGz6/gYycDO7qdBcLhiygVmits97P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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1084dc3d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(10,3))\n",
"\n",
"# default grid appearance\n",
"axes[0].plot(x, x**2, x, x**3, lw=2)\n",
"axes[0].grid(True)\n",
"\n",
"# custom grid appearance\n",
"axes[1].plot(x, x**2, x, x**3, lw=2)\n",
"axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Axis spines"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also change the properties of axis spines:"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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C\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b7d5c90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(6,2))\n",
"\n",
"ax.spines['bottom'].set_color('blue')\n",
"ax.spines['top'].set_color('blue')\n",
"\n",
"ax.spines['left'].set_color('red')\n",
"ax.spines['left'].set_linewidth(2)\n",
"\n",
"# turn off axis spine to the right\n",
"ax.spines['right'].set_color(\"none\")\n",
"ax.yaxis.tick_left() # only ticks on the left side"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Twin axes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sometimes it is useful to have dual x or y axes in a figure; for example, when plotting curves with different units together. Matplotlib supports this with the `twinx` and `twiny` functions:"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {},
"outputs": [
{
"data": {
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GcjywN6qvVmDw+wMXo/poed8SivzZOefCrkqqt0RbsMDSTLCNgwkMfKUSqY5IHaA6UAOR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\naceDn3POubTjwc8551za8eDnnHMu7fw/C9Heuiu/ClcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109b88690>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax1 = plt.subplots()\n",
"\n",
"ax1.plot(x, x**2, lw=2, color=\"blue\")\n",
"ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n",
"for label in ax1.get_yticklabels():\n",
" label.set_color(\"blue\")\n",
" \n",
"ax2 = ax1.twinx()\n",
"ax2.plot(x, x**3, lw=2, color=\"red\")\n",
"ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n",
"for label in ax2.get_yticklabels():\n",
" label.set_color(\"red\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Axes where x and y is zero"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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4xz/gt7+1Fz3rC/Rw/Uz5WjDWBOByuZK9eb1C3WHhWtPUqVNp2bIlx44d4/XXX+eBBx5g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\ndRGRMKJQFxEJIwp1EZEwolAXEQkj/x/k0lKLlR6mUwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1071d7110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.spines['right'].set_color('none')\n",
"ax.spines['top'].set_color('none')\n",
"\n",
"ax.xaxis.set_ticks_position('bottom')\n",
"ax.spines['bottom'].set_position(('data',0)) # set position of x spine to x=0\n",
"\n",
"ax.yaxis.set_ticks_position('left')\n",
"ax.spines['left'].set_position(('data',0)) # set position of y spine to y=0\n",
"\n",
"xx = np.linspace(-0.75, 1., 100)\n",
"ax.plot(xx, xx**3);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Other 2D plot styles"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In addition to the regular `plot` method, there are a number of other functions for generating different kind of plots. See the matplotlib plot gallery for a complete list of available plot types: http://matplotlib.org/gallery.html. Some of the more useful ones are show below:"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {},
"outputs": [],
"source": [
"n = np.array([0,1,2,3,4,5])"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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UM8/vAPOAVOa+/+TuA929IPzz2Yj7IiIiItmhufhgMPATYFz4sw+4r3Gnmf07cCFwGvAh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\nOQiCIAiCIAgq8i8ekPX0JG+NvQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a72ed90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 4, figsize=(12,3))\n",
"\n",
"axes[0].scatter(xx, xx + 0.25*np.random.randn(len(xx)))\n",
"axes[0].set_title(\"scatter\")\n",
"\n",
"axes[1].step(n, n**2, lw=2)\n",
"axes[1].set_title(\"step\")\n",
"\n",
"axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n",
"axes[2].set_title(\"bar\")\n",
"\n",
"axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n",
"axes[3].set_title(\"fill_between\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Text annotation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Annotating text in matplotlib figures can be done using the `text` function. It supports LaTeX formatting just like axis label texts and titles:"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zjLhrBAE+rjXTY2xiLNN3T+flu192digOJYlBWOLUKdMgOXMmlC9v1oJ4+GH7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\nQgghMpHEIIQQIhNJDEIIITL5f/mSKrvCXrVbAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109b0aa50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(xx, xx**2, xx, xx**3)\n",
"\n",
"ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n",
"ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Figures with multiple subplots and insets"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Axes can be added to a matplotlib Figure canvas manually using `fig.add_axes` or using a sub-figure layout manager such as `subplots`, `subplot2grid`, or `gridspec`:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### subplots"
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Yx3s0It6LiJ3ACop9vd3q9Nk3xXmZznmZnfMyXY556T0rKQeaul2AJygObC0GrgJOMvNZ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\nzLLggmRmZln4f3C9RZ+di7JUAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1070b7e50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(2, 3)\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### subplot2grid"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x10a08ce10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n",
"ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n",
"ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n",
"ax4 = plt.subplot2grid((3,3), (2,0))\n",
"ax5 = plt.subplot2grid((3,3), (2,1))\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### gridspec"
]
},
{
"cell_type": "code",
"execution_count": 111,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.gridspec as gridspec"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Tcd4bgG+1YN+1HfibCrmwL+//k6bi2VRAv5Y/3guckU9qWZd25+aT/g2yXy38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\nJPw/GteI52gW45oAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a341c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"\n",
"gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n",
"for g in gs:\n",
" ax = fig.add_subplot(g)\n",
" \n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### add_axes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Manually adding axes with `add_axes` is useful for adding insets to figures:"
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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H4K3hWNhzxsbAO+9w5wZAdGYYOFC3J1NNzkzGsgvLMLfnXLlDYaxIGRnA0GFZMOv3Jb4f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\nAkUxzZTnHxOFAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a0a39d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(xx, xx**2, xx, xx**3)\n",
"fig.tight_layout()\n",
"\n",
"# inset\n",
"inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, width, height\n",
"\n",
"inset_ax.plot(xx, xx**2, xx, xx**3)\n",
"inset_ax.set_title('zoom near origin')\n",
"\n",
"# set axis range\n",
"inset_ax.set_xlim(-.2, .2)\n",
"inset_ax.set_ylim(-.005, .01)\n",
"\n",
"# set axis tick locations\n",
"inset_ax.set_yticks([0, 0.005, 0.01])\n",
"inset_ax.set_xticks([-0.1,0,.1]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Colormap and contour figures"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Colormaps and contour figures are useful for plotting functions of two variables. In most of these functions we will use a colormap to encode one dimension of the data. There are a number of predefined colormaps. It is relatively straightforward to define custom colormaps. For a list of pre-defined colormaps, see: http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {},
"outputs": [],
"source": [
"alpha = 0.7\n",
"phi_ext = 2 * np.pi * 0.5\n",
"\n",
"def flux_qubit_potential(phi_m, phi_p):\n",
" return 2 + alpha - 2 * np.cos(phi_p) * np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {},
"outputs": [],
"source": [
"phi_m = np.linspace(0, 2*np.pi, 100)\n",
"phi_p = np.linspace(0, 2*np.pi, 100)\n",
"X,Y = np.meshgrid(phi_p, phi_m)\n",
"Z = flux_qubit_potential(X, Y).T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### pcolor"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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cDZ3wbUDePCya8OUxySN4OKqkm8/iWDvEyUMzI87IyDgSyIxYwSO7o0h4zm6s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\num5ZRQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107305f90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"p = ax.pcolor(X/(2*np.pi), Y/(2*np.pi), Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n",
"cb = fig.colorbar(p, ax=ax)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### imshow"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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44rfMI9Yc1A6ulUX4RgCZmZ/NWNvCuNdaiVHj1AVHyaGy0hTBvZ5r3o+8N2r3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\nNqdMbaINDmhK3MG64bMMkFxkw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hJALoKRmKNclCNFTJPlDT0607A0GvwasInxkzoEYC7s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\ntUUWWeS6kv8HUacFWVNPEqAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a083b10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"im = ax.imshow(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n",
"im.set_interpolation('bilinear')\n",
"\n",
"cb = fig.colorbar(im, ax=ax)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### contour"
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Zg4DDNVSgSjbT3q/ItDWL++lgGKCrCF0FbajWk1oCtWjWf3L7zMHF\n7UfyBkY0DvtytHg3ua1PYmRT5j2eMndUzjsWMIp5Uo99Be8Ccw+LShG6Zlr1umZWda2Sm3BY5LND\nBfUcsoTf7cTvduApo9bSTSH4V6IbBrmSRrakouqCoNdJ2OuuaDOJYS6FXiV7zAJfVUh8KR7bTf6l\nXxD93T9FDlQvkWasY1YkPETuhZ/hiDYQWHUPzqaJo34N6BqoRVOkNbMaodBU8+/GcPlZA7j8PRLm\n77JsDgoO528HCqd7aPAYqug6yot4enqQ/I5nUM4eGbJuV91U23QKXSP1k3/H1TyRwNr7Ku9PKWL0\nnTHdgrG2qrjCdEOQKSpkiiqSZG7bGfC4Ktaom1LwL0fVjUs3tqo1x4tZjL5zSNEW5HBDxf3ltv0K\nteMEkQf+8KbbYELoGsVD2yjs+s1QzfG7x0TN8cu5ZNEPI41uKQUr6NkUhZ3PUjq5D++CVfiWbaha\n6OF4IrvpcYxsmtAb3l2xOItCBqP/PFKsDTlY+QK3qhukh/Zq8LudhLzuqhbUu+kFfxjDGNo+rqjg\ndsjUBTyV7yqkljB6z5iLbXVtFe7+ZJD52beQQ3UENzxQ0XWNV4SmUjzwEvk9m3C1TsF3yx03Rehq\npejJOIW9mymd2Gtuw7ls401Rv+lqFA9vp7BnE5G3fATZU5nL1cgOIga7TPdthQlUmm6QyCvkFZWQ\n10XY6x6R3dhqgn8FQgjSRZVkXsHvdlDn91R044WumaLv9iHVT6hI9I1SgeQPvkBw/ZtxT51Xdj/j\nHXPf0O0U9m5GDsfwLV2Pe8rcEV3cHG8IIdB6L1DYuxm146Rp0S9Ze9OU5b4aejJO8tF/JvLgh3HW\nt1TUl5GOI1K9yM3TK8rpMIyhDemLytB+y24c8sjNDGuCfw0MQ5AsmK6eqN/c/7RcsRaGboq+y4NU\nP7Ei0Vc7T5P51feI/t7/HrGwxfGC0HVKp/ZT3LcFo5DDu3AV3nkrkH03Tw2dKxGaSunEXooHXsIo\n5vAtvh3P/BU33TabVyIMg9QT/4pnxuKKSzob6X5Eut8U+woWZ3MllYFcCa/LQaxCw9IqNcF/FVTd\nIJ4tIoSgIejFXaabZ3jTaMnpqdjSz255ElHKE7rrbWX3caOh9lygeOAFlDOHcU2eg3feclwTZ90U\nVr8QAq2vk9KRHZRO7sPZPAnfojXmTkw3wee3QmHfVkqnDxJ54A8q8tsb6Tgi3YfcMqPsaCrdMBjI\nllB0nfqgF59r9NbkaoJvASFM/34ir1DndxMq09oXho7RcxrJF0KuK3/R0VCKJL/3OUJ3v/2mic+3\nilHMUzq+h9LRnRj5DJ5ZS/HMWoKjsbJBdiyiJ+OUTu2ndHwvQi3hnbscz9xbb4rsWDvo2RTJR/6J\nyEMfxhlrLrsfkUtiDF40xb5Myz6vaMSzRYIeJ1G/Z1SqAlzOuBX83Z0JXLKM2ykTdDuIeF0E3NWL\nqb8aqm7Qly7gcsg0hLxlfVlC1zC6TyJFmiraRLp0cj/5Hc8Q/b0/uykyIstBi3dTOrGX0sl9IMAz\ncxHuqfNwtkwelxvKCyHQB3pQzh5BOX0APZPEM2MRnplLcLZPrT0H1yDz6x8gByMEVr+u7D5EMYfR\ndxa5eVpZhc+EECTzCpmSSmPQi889cla9EIKiZpAqqqRL2tBubeZObSsmxcan4D9zos/cek43yJQ0\nUkUNRTeI+V20hLy0hby0hb3E/OX73q+GIQQD2SIlzaA57CsrLlaoRYzuU8hNU8uu2S6EIPXov+Bb\nshbPTbSBdDkIIdD7L1I6fRDl7BGMbBL35Dm4Js7ENWHGmLaIjUIW9eIZ1I6TKOeOgiThnjoP97T5\nuNqnj8uBazTRBnpI/fir1L3rL8uOyhGagtF90iyTUEbpFMMQ9GUKGAKaw96ql3nJlDQ6UwW600V6\nMiX6cyUkJCI+J2GPC49TxuWQcMkyG2c0jk/Bv9p5Fd0gnlPoyRTpTpfoTBWQJJheH2BmfYAJUV9V\nplDDLp5kXqE57MPjsv/SiXwaY+ACcuvsssvOKh0nyD73BHXv/POar9YGeiaBcu4YaudJ1M7TSC4P\nrvapOFsm42qZjKO+5boIqRACIxVH7T6P1nMetfssRjqBs3UKrgkzcE+ZiyPWfMO5pkaS9C8extk8\nCf8tG8tqL4SB0X0KyR9Bjtp3B2m6QU+6gNfloD7gqVJhNkFfTuFkPMupeI5sSWNC1EdryEtLyENT\n0IPvGpo0bl06Vs4rhCCeUzg1kONEPEdR1VnUGmZhS5igp/IpVa5k+uOaQuVN0YxkD6KYNVf7y3wQ\nko99Gd+SdXhmLi6r/c2OEAJ9sAe16xxa73m07gvomQTOWBOO+hbzJ9KII1KPIxyrSvlmoanomQRG\nahA9FUcf7EEb6EEf6EFye3E2T8LVMhln6xScTRNuqizYaqIn+0k++mVi7/nrsn3uxuBFhFoyZ+M2\n31FVN+hJ5Ql5XUR8lWdUK5rBkb4M+7tTlDSDWQ1BZjQEaAtbdy/f0IJ/Jb2ZIvu60xzvzzK1zs/q\nyTHqA5XVLSkoGn2ZIo0hL36boi+EwOg5heQPI0fKW0wqnTlEYcczRH73IzXLr0oYShF9oBd9oBtt\nsAc9GcdID6KnE0gOB7I/aC68+wJmqK3LjeRymyUUhhEGQlXMTXMUxfQBF7IY+SxCKSIHIzjC9eZA\nUt+Mo74VZ6zlpk2IGgkyv3kMORAmsPLustqLQgYjfgG5bbbt7HZF0+lJF4j63IR9lWlMTtHYfiHB\nod4Mk6I+FrdGmFLnK+t9v6kEf5iSZrCvK8WuziTTYn5WT4kR8ZZfEbGkml9uOZa+0BSMruPILTPL\nSuAQwiDx3X8gdNfbruteo3qphJpIoqUzqOk0AO5YDFcsiiscviFcTkIIRDGPUcgi8lnzv2rJFHZV\nGaqnM4x0aSCQXG4kbwDZH0T2h8wCaTfI/dCzOZTBBEoigVFScIZDuCJhXJEIzsD1K9tgFPMkHv47\n6t75F2UNosLQMS4eM+th2dzgSNUNulN56vweQhXoSlHT2dmRZF9XinnNIW6bWEeoQs/ETSn4w5Qu\nu6FL26OsmFSHs8wst4Kq0Zcu0hLx2S7JYKT7EbmkGe5Vxqid3/M8eryb0GtHNy5fTaboe+Y5+n7z\nPMlde3GGguYLHw6bFUoTCZTBBEaxhH/KZIKzphOcMZ3wogVEFs7H4b+x9+69kTBUjcyx46T2HSB7\n8jTZk6fJnToDgLu+DlddHbLbhZbOoqbTqKkUodkzabxzI833vAZf2+jWPirs24LWe4HQ3e8oq70x\n0AnCQG6wV7pDNwy6knkiFVj2QggO92bYfGaA6fWmJyJcwcBxOTe14A+TLqr85lScZEHl3jlNtITK\nW80fzpxri/htZc2Zrp2TSMH6skI1jUKWxMN/T917PlFxfRArCCHo/MFjnP7y14itWkHTXRtpWLsa\nZ/DqlpReKJI7c5bsiVNkT54ite8gmRMnCU6bSvSWpcRW3UbdrctqA8AYwlA10gcOMbBtB8mde0gf\nPoq3vZXo0sWEZs8kOHMGgRnTcEWuXr3VUFQSO3bR9+wm+p55jubX3c2sj30UeZSSjBKPfJ7Aujfh\nnjDDdltRymP0nUFum2PLlWMIQU8qj8/lpC5Q3ppBuqjyqxP9FFSdu2c10lymFl2LmuAPIYTgWH+W\n507FWdYeYeWk8jYvSOZL5EoarVG/rYigSw9Z+9yyIkRST30Dz8wleOfearutHQxF5fjf/SPJvftZ\n/OV/wj9pQln96MUi6cNHSezcw+DL28kcPkZowVwabl9Nw7o1BGaWv5BdozyKXT3Et75IfMuLJHbt\nwT9xArGVt1G34hYiixfhCpdXh0fLZDn4sY9jFEss/OLf445Gq3zlV5xvoIf0f/0Hde/9uO3chEvr\nasGYLeNLCEF/tggCGkPesp7dY30Znj3Vzy3tUW6bWDciNXVqgn8F2ZLGU0d68Lpk3jCnBbfT/gPT\nny0iAY0hexarEb8ADldZWbjFY7spndhL5L73225rFUPTOPCnHwMhWPC5z1zToi8HLZcnuWsP8a0v\nEd/yIkLXaFh3O40b11G34lYcnrG77+x4Reg6qf2H6N+0hfjmrSiDCepvX0XD2jXEVt2GO1ZX1XOd\n+uJX6N/8Ard+9+sjKvq5bU8jlBLBdffbbitySYxUL3LrLFuinSooZIuqbUMPzJnBljMDnIhnuX9e\nS9Wt+supCf5V0A3Bs6f66UoXeWBBq+0FXUMIupI5on4PQY/1tpcWcNvn2o4KMIp5Et/6W2Lv/7QZ\nMTICnPjcF8mdOsPif/3iiE7NhRDkz54nvnkr/Zu2kjl+gtiK5TRuXEvDuttx14/dRKmxjpbLM/jS\nNvqf30p8y4t4GhrM+7phLeH5c0c8BPTk5/+Z9KGjLPvWV0dsBpf4wRcIrrvfdtkRIYT5/tW12dq4\nSNF0ulMF2qJ+24mYJc3g50d7UHTB/fNbrhk/Xy1qgn8NhBDsuZhiR0eC31nUToPN8M2SptOTKtAe\ntefPNwY6QZKQY+12L5nUE/+Gd+l6PNPm2277amRPnWH3e/6AVT99dMSn5FeiJJPEN79I/PmtDL68\nncC0qTRsXEvTHRvwT5tSc/28CsXePuKbttC/aQvJvQeILF5Aw4a1NG5Yi6+9bVSvReg6O972Hib/\n/ttpeX154ZKvhFk35/Om4WPTNWpkE4hMvxkxZ/GZMo07c5HWbkROQdV57EAXzSEPr5nROKJlkYep\nCf6rcLg3w5Yzcd6yuJ16vz3RT+RLlFSd5rD1mNlLVv6EebYf2Pyu32DkMgTXv8lWOysc+otPEpw+\njSkfeHfV+7aDoSgkdu6hf9MW+jdtxuHx0jBk+UeXLRm1RcGxjBCCzNHjxDe/QPz5reQvdNKwbjWN\nd6ynfs3KqrriymHgxW2c+NwXWfmTH1Q9PLV4dCfK2aOEX/cuW+2EEBjdJ5CjLbbKJyRyJRTdoMmm\n376o6Ty6v4tJUR/rp9WPmtFSqeBft7frP58/TcjrJOx3Mb0pxNTGwIjUk57fHEIIwaP7L/LWJe3U\n2Qi1ivrcXCzlySmaZdeO5HQj+cKIzABSpMnWtbomziT76x/aamOFwsUuBra+xJy//ljV+7aL7HZT\nv2Yl9WtWMvuv/w+ZI8fof34rp/7pX8h3dBJbeRsN61ZTf/tqPI2Vby05XtCyWQZf3nFpDcQZ8NOw\n7nZmfPTDRG9ZNqYGwtjqFchuN/Hnt9J4R+UbiF+O2nES18SZ9hsWs2Yehc+eKyddVGmP+m0JtqIZ\nPH6giwkR74iJvRCCzsE8J3syDObMfT1yRb3ifi09RZIk1QHfBO4C+oG/EkL84BrHTgX+BVgPFIFv\nCiH+4srjciWNnlSBRE7h33tP0ZMqMqM5yC1TY7xmfgvzJ0SqdiMXtITRDMHjB7p5+7IJ+C362SRJ\noiHopS9TwO92Wk9/Djdg9J9HhBttfQZn4wSMXAojn6nqzkZdP36KljfcizM0trJAJUkiPH8u4flz\nmf7hD1KKDzCw9SXiW1/ixOe+hG9CO/VrVhJbtYLo0kXI7pFZ27geCF0nc/Q4gy/vYOCl7aQPHSG6\ndBH1a1cz5X3vwj957G79KEkSk975Njof+0lVBV8Igdp5Cv9td9lua2TiSCHr75sQgoFciTq/va0I\nDSF48kg3jUEPG6c3VFXsz8dzPHu4h20n4xzrThP0OJnVEqIh5CXkc1aUBDaMJZeOJEnD4v5eYBnw\nc2CVEOLoFce5gKPAl4F/BwxglhDi0BXH/Q+XTq6kcbw7zcsn4zx7qIeipvPaBa387srJtNVVJ757\n85k43ekSv7OozZa/rS9dwOWUqfNbizS5NL2sa0WyYXEApJ78Ot75K/DMWGSr3TWvxTB48Z43s+hL\n/0B43pyq9DkaGKpGav8BBl7czuC2HeROnSGyZCHRW5ZSt3wZkYXzx9UAIHSdzIlTJHftIbFrD8md\ne3HXx4itvo3YqhXEbrt1XOUxaLk8L9z5elb97HE8DeWXCb8cPT1I8tF/Ifa+T9kSUqGpGF3HbLlR\n84rGYK5k27p/7lQ/A3mVBxe2VqWQY6ag8vjOC/xyXzeJnMId85tZO7uJeRPCxK6SCzDiPnxJkvxA\nApgnhDg99LeHgYtCiL+64tgPAO8QQrzisP9qPnwhBGf6sjy15yJP7u7kNQtaeO/66RULvyEETxzs\npjnoZt006+4CVTfoSuaYUBe0PFAY6TgUs8hNU2xdY37ns4hinsDa+2y1uxapg4c5/JefYtVPHxvX\ni6NqKk1i916Su/eS3LmH3JlzhObOJrJkEZGli4gsnD+mXEBqKk36yFFS+w6S2neA1IFDuOtj1N26\njOitS6lbfgveZnsuv7HGwf/zceqWL2PCWx6oSn+l43sonTpA+PXvttXOSPWBWrScVSuGFmqjfg8B\nG6UOjvdn2XwmzruWTcRbYTROpqDy/ZfO8aNt51kzq5EHl09k8aQ65FfRl9EQ/CXAC0KI4GV/+zNg\nvRDi/iuO/U/ABTQAy4GDwJ9YsfCvRTKv8L0XzvH4jgs8sHwiH7xjRkU3O6dofGd3B/fOaWZKnfVa\nIf2ZIg5ZuuqoezWErmF0HkGeON/W4q1y/jiFXb8h8uCHLLd5Jc7829fRsllmfeyjVelvrKBls6QO\nHia19wCpfQdIHz6K5HAQmjub0JxZ+KdOITBtCv4pk8tOOLKCXiiSP3+B3Nlz5M+eJ3P8BJmjJ1AT\nSUJzZhFZvNAckBYvrJolPFbo/tkv6fvVb1j85c9Xpb/s1qeQfQH8t95pq51+8RhyrN1yzZxcSSVZ\nUGiLWLfuU0WV7+3p5IEFrbSGK9v0/Ce7OvjKMydYP6eJ922YzsR663tqjMaibRBIX/G3NHC1uzsB\n2AC8EXgO+AjwpCRJs4UQWjkXGPW7+aPXzuKtqybzuZ8d4W1feZHPvmUx89rtb2QAEHA7uXdOM788\n1st7bp1kefCI+t1mbL7P/aqjMGDG4XuDiHwKKWg97tzZNAGt/yJCiKpY5AMvbmPahz9YcT9jDWcw\nSP2qFdSvWgGYVlupp5fM0eNkjp9k8OXtdDzyKPmz55GcTnztrXjb2/C2NOOuj+GO1eGK1eH0+3D4\nzB/J+dvXQRg6er6IXiigFwqoyRTKYAJ1cJBiTx/Frm4KF7vQMll8E9sJTJ2Cf+pkmu++ixkf+TD+\nSRNv+LLI9WtWcewz/4ChalVZVNb6OvEvtyf2QimCoYPX2vqUEIJkQSFqo9yxEIJfHOtl+cRoRWLf\nmyrwyccPklc0vv7+FcxoHjlD5FpY+ZaywJWO6AiQucqxBczZwK+Hfv+8JEkfB+ZiWvtl0xDy8Lm3\nLcZ1ujoAACAASURBVOWX+7v4o4d38b710/i91eXFcE+p8zOjIcjmswPcPcvatNrlkPG5nGRKKhGL\nkT6SP4LIp8CG4Jsle90YmUTFOzkZikLm2HGiS6qzHjCWkSQJb2sL3taW/7aQaBaBS1K42EWxq5ti\ndy9qIkGqoxNlMIGeL1wSdaHrl/Un4/B5kYcGBHc0iisW5f9n773j5Kru++/3vXf6zM7MVm1R7wUh\nCQkBQghBjB1cYuOGjeO4pDiJEzvNye+XOAmpz5PyJM8T+5fys7F/TmzjhhOMYxxsQKiAqEJCva+0\nTdumz9x6zvPH3QVZkeDemVlptZr367WvFcs9Z+60z/me7/mWUEsLiWVLiPb0EOnpItzeNiMqZ1ZD\nqDlNpHMWxaPHSK5aUdNcUkqc0QECbf7yCmQ5hxLzHuBh2A5SSl+l0PcO5hESNsyuPn9lx5Fh7n/o\nFT5wyzw+tmXhlEQkesHLsz4KBBRFWTTpwwfWAAcucu0+YJOXB77//vtf/ffWrVvZunWrl2Hcvaab\nNXPTfPrfXqQvU+Ezb13hyeK+kNsWtPCl588wVNA9F1tLRkOMFCokPTZBV2Ip5Hg/UghfoqC1dmGP\nDtYs+MUTp4jO7rmqDgPrjaIohFqaCbU0k1pd/4S2a53kyhUUDh2pWfBFKQ+q5js6TZZzvkqZ5CoW\nyYh3675iOew6Pc77ru+u+pD2u8+f5Z9+fIz/50M3sHaev3IX27ZtY9u2bVU97sXwGqXzdUACv4gb\npfMIsOkiUTpLgZeAnwG2AZ8GfhVYcb5Lpx6JVwXd4te/8gILOxL8wTuvqyrLbe9gjsPDRd5/fben\nD8DkYU9LPOy5br4zMBmt4/2DXNz+MGoiSeyG6tq6TTL4yA8YfWonq//2L2uap0GDS3H6gX/FHB1j\n6e/VdkZknj1G+dnHSL/3k57HvHpONvc6T0XWHCHoy5SY05zwbCRuOzGK6Qje7NETcCHfeKaXr+w8\nyb98fCNzffjqL0WtPnyvZucngRgwDHwV+GUp5SFFUeYoipJXFGU2gJTyKPCzuCGZ47i+/J+p1n//\nejRFgvzjR2/k7FiZP35oH0L4X0BWdyYpGDanMxVP1yuKQiISpGBYnh9DiTYh9Yt5vy6Nlm7HyYz4\nGnMxSidPE1+4oOZ5GjS4FPGF8ymdPFXzPE52BK253d8gvQiRhOeKmkXDdvNpPIp9wbB5ZSjPpnnV\n7bS/tusUX3v6FA/8wk11Eft64OmVklJmpJT3SCkTUsr5UspvTvz9rJQyKaXsO+/a/5BSLpFSpqWU\nd164C6gnsXCAf/i5DZwdL/Pl7Sd9j1cVhVvnt7D7zLjnMYlwgIppIzzuUJRIAqkXfd2Xlm5F5MZ8\njbkY5d6z0zqBp8HVT2z+XMq9Z2ueR+TG0FL+opikXkTxeFgLbnRO3EcxxOfPZriuyv7ZO44M8687\nT/GFn7+Jbh/RgFPNVX/aFA1p/M0H1vGN3b3sPj7qe/yy9gQFw6Y/583K11SVUECjYnrctITjYOpI\nId742snHSLbg5L0vQpdC7+snOsd/EbcGDbwS6e5CHzr3Ewfe1eDkx32fWbmC781yth2B5UjP1Swr\nlsOBc4WqDmr7x8vc/9Ar/N/3rqUzPb3Oz656wQfoSEX4i/et4Q+/s49s2fQ1VlUU1vekebE/53lM\nLBSg7FHwFVWFYBjMsvd7SjQjijmk9L5IXIzKwCCRrs6a5mjQ4PXQwmFCzWmMc7W5IEUhg9rk/UBT\nCgdsE0LeBLVs2sRCmufD2n2DeRa1xn33oHWE5Pe/vZePblnIuvnTrwz4jBB8gI2LWnnL6i7++vsH\nfY9d1dnE6fEyZcublRILBahYbniXF5RQDGl620EAKIEASjiKLPtzBZ2PYxjYhWKj9nyDKSc8qwN9\neLimOUQxh5rwkVtjViAY8ey/L5u250ALKSWvDOVZ2+0/1+drT58mqKl8aNN832MvBzNG8AE+eddS\nDvTl2HXUn7URCWgsbI1xeNjb4WpQU1FwSy54IhwDw7uFD6DGk4iS913HhZgjo9d0jHiDy0d4VntN\nFr4UDqJSRPXRtESaFRSP1r2UEt12iHpMDhvIux3vupr8dWkbyFT48lMn+ON7rqsqVPxyMKPUIBrS\n+PU3L+Mff3zMs/U9ybL2BMdGS56vjwQ1dI87AiUYQVq6r/tR40lEDRa+OTZOaIal8jeYnoRaWzHH\nqz9zknoZJRzzl5ls6hDylj9j2oKgqnoO3T42WmJZe8J3UucD207w7hvn+CqVcLmZUYIPcOfKWViO\nYMcRfxbH/OYY5woGFY8iHglq6LbHg6pQBCzD1yKkRhOIsr9wzvMxx8br2tO0QYNLEWppxhyrXvBF\nuYAa9Ve6W1o6StCb4Ou2Q9jjYa2UkqOjRZa0+bufgUyFxw8M8eHN0zsMesYJvqoqfOS2BXzjmV5f\n44KayuxUhDNZb772cEDDtL25dBRVA1UFx0f8fiSG0L3vOC7EyuUIpqurN9SggR+C6RRWtnr3o6iU\nUaI+rWLLAI+Cb9gO4YA3wc/qNraQdCT8ld7+znNnePu6HtI+u+pdbmac4AO8aVUnhwfz9Ppw0QDM\nbY5xOuPN1x7UVGxHeI7HJxB2P6QeUaNxpO79oPdCrFyBYKoh+A2mnmAqiZ2/sL6id6ReQo14j1WX\nwnG7W2nefPKmLQgHvEldb6bMvGa/HbAcHn6xj/fdNP1zXmak4IeDGm9d082jewd8jZuTitKf8+Zr\nVxSFoKZiebXyAyGkHws/HEX6POg9H7tQmHYdrhrMTAJNTViF6s+bpFFBCfuIV7dNCHirZyWlxHYE\nQY/FyvpzOnNS/ipiPn1slPntcea1TV/f/SQzUvAB3nRdJz/eP+RrTFs8RF63PLtqgprqPVInEATb\nh+CHIkjT+47gQuxiCS0+/T+ADa5+AvEYTql640SaBorHA1jA/R5p3lwnliPQVMWzxe6nmOIkjx84\nx13XeS/gdiWZsYJ//Zw02bJJ/7j3D6KmKrTGQwyXvAmtL8HXgv58+KGwW+u7SpxymcA1XCWzweVD\ni8exS9WfNwlTRwl5D4GUjuX2m/CA5UjP1r3lCPKGTVvcux9eCMnOI8PcsfLq6F42YwVfVRXWL2jh\nxdP+ogdaYyHGy96EWdMUbK9F29QAON5ryCmBENLylzV8Po5uoEUbgt9g6tEiEYRR/W4U20QJ+jjs\nFLZrQHnAEcJz7fnxikU6GvRVBvnEcJGmaJBZqavjuzZjBR/ghvkt7Dmd8TWmJRokU/EmtAFVxfFY\nI0fRAkjhQ/CDwZoEX+g6asRf4kiDBtWgRSI4leoDDKRlogR8CL7jgMeYfVtIz/H3mbJJc9R7cTWA\nPb3j3OCzxv2VZEYL/pLOJk4M+ztMaooEKBjehFlTFBzPFr7qtmLziKIFkT52BBciTBM1NL1DxBrM\nDJRQEGlV/1mVju3ZRQO43yPFm+A7QqJ5tNgLhk3SZ+2ck8MlFnde/laF1TKjBX9ua5yzY/58i4lQ\ngKLhTZhVVfEelqlo4KNiJlrAtWSqRJgWasiftdKgQTWowSDCrH43imN7DrEEQDquAeUBIb1b+EXT\nIe6j9SHAmdES86ZxZu2FzGjBb4mHKOi294NVIBJQMTwKraqA574rqurGDntEUTWkrF7wpePM+Cba\nDaYHSkBDes06vwhSCF+fVSml56Jp7rXe+91Gg/4kcbRg0FFDY/PLzYwWfFVVXBdNxXt0TEhTMbzG\n1rvtxjzOrICf+j6K4m9HcAHScdwM3wYNphhF1Xz1e/hvCAEeBRxwDSePIi6k50sxbEHIZ3PxXMUk\nFbt6dtIzWvABoqEAFdO79aGp3v3yCm6jX28X+7ravb6mvr/S3YI0aDDVqEptgo8PVZ643Pv1EgXv\ni4Pf3ti6JYiErh7DasYLvt9G834r5E0Z0+U+GjR4A6bNd+YKcTU9+xkv+PZEpp1XhA+fnz/726e1\nLn1aPXV4yAYNqkEKUbvo+93N+rrc+8V+b0NV8J6LMw2Y8YKfK1u+fGym492PJ/14TaScMj/lxXD9\nqrX1GW3QwAvSEeDT9/0TKP4CGvy4R91zNm/ThjQV00eAB0AqFiLnMVFzOjCjBX+y0XjEYy1scCvr\nhTSPFr6P3YBfi10KUVu3Kk11v4gNGkw1QtQUIKCoqr8zAEXx3O9ZAc+h06GAf8FPx4JkSjWEpF5m\nZrTgnx0v09Pir9RpyUcsrpDSexq2cPxZ+I7tlmOoEjUYRFpXj+XR4OpF2Daqx/aBF0XT/JUdUb3n\ntGiq4jl0Oh7SKPkI8ACY3RKjz0e9rivNjBb8U8P+kyKKpk0iXP8sPqQAH1aQ7+zDC6g5GaZBA4/U\nmtXtZpX7EFrFe9a6qigIj4rfFPKeZT/J/LY4p0aqLw19uZnRgr/vbIZVc/w1AclULNIRr4WZvGfx\nuRa7D8G3LbekcpWokUhD8BtcFoRuoIZrqNvks3Q4WsCz4Guqgu3R/ZOKBsj6yNkBWDk7xb6zWV9j\nriQzWvBfOpVh/fwWX2PGyyYtHtuU2UKgefX3C8efxW5b/ioIXoAWDuNUqi+v3KCBV5waC/UpwRDS\n9mGcqJpbMdMDAVXFcbxZ+C3REOMeCydOsmZuM4cH8ugee2FfaWas4A/ndAayFVb1eLfwpZSMlEzP\n9bBtIQl6PVh1LF/1QqRp1Cb4sShOufoKhg0aeMUpl2sqxa0EQ0gf7T/9FBYMaCqWR39/PKSBhKIP\nt048HGB5d5LnT455HnMlmbGC/8TBc2xZ3kHQYy9LcIsnSYnninmWj9Zpfrr0AEhT99cF6AK0eAy7\nXH1TigYNvOKUygQS1RcQc7u7+diNat5dQJNNiryUQFEUhVlNEYYK/mr7v2lVJ4/77K53pZixgv+D\nvf28+bpOX2MG8jpdTWHPvTJN27vgS8dE8eGTFzUKfqApgV1Dn9EGDbxil0oEaminqYQiCMPHbjQQ\ndPvaekBTFRS8l0vpSobpz/vbGf/UqllsOzT8ahj4dGZGCv7B/hwjBYNNS9t9jevNlJnbHPN07eQH\nyPOhrWVCwEcbN72MGq3+SxRMJrHzharHN2jgFSuXJ5Csvia8GokhdR8iqwVBOp4TC8M+4uvnpWOc\nyfoT/FmpKGvnNfPo3kFf464EM1LwH3yml/dunOurpIKUktOZMvPS3nyRpiMIBVTPuwEcE3x09ZF6\nCSXsbfG5GMFUEiuXr3p8gwZesXI5gil/0XDno0TiSN27+1FRFNd48uj3DwU0DI/lm7uTEcbLJmWf\nh7Dvv3ku33im13MI6JVixgn+mbESO48M8/6Nc32NG5nIlvN6YKtbDpGAxzBL2wAt6CtzVpSLqLGE\n5+svJNjcjDnur59vgwbVYI1nCbVW3+ZPjSUQFX/nTUow4vmgNxzQMDwKuKYqzG+OccJn46RbFrcR\n0BSePHTO17jLzYwT/H9+/BgfuHkeTT57Ux4dLbKkLeE5K1e3HO8lG0wdgv788aJSm+CHWlswxxqC\n32DqMcfHCbX4C38+HzWaQJQLPnpLAKEIWN5cL5Ggim47nudf0pbgqM9kKkVR+MSdi/mnHx/z1XDp\ncjOjBH/H4WFeOZvlw5sX+BonpeTguQIrOrwJrBAS03EIexR8aVZQQv7C1kQpjxpL+hpzPuH2NoyR\n0arHN2jgFWN4lHBHW9XjlWAIRQsgfRzcKsEI0vR2vaaqBFXvjY0Wt8bpz+uUfB7CblnewaxUhC89\ndcLXuMvJjBH8XNnkzx/ezx/fs5qYz0bEZ7IVgprKrIS3Q9WKZRMOaJ7r6Eiz7MsfL6VAFHOoier9\nooFkE9K2sUtXT52PBlcnxvAw4Y6OmuZQEylEMed9QDgGRsWz1e42QvIm4KGAypLWOAfO+Qt6UBSF\nP7rnOr7xTC9HBqbn+ZknwVcUpVlRlH9XFKWoKMopRVE+6GHM44qiCMVr88kaEELyh9/Zx12ru9iw\nsNX3+Bf7sqzrTnl255RNh5jHAmtSSjDKEPIh+OUiSijiK4zzQhRFIdI5C33w6ogPbnB1IqVEHzpH\neFatgp9GFDLeB2gT3w2P4ZnRkEbZh8W+tjvFnv6c53DOSWalovzO21bwe998mYI+/YoXehXjfwR0\noB34WeCfFEVZcamLFUW5DwhwmVpwPPDUCQq6zaffssz32JGSwWDBYNUsb2FlUkrKpu29u71lgKr5\nEm8nn0FLVe8TnSQ6uwe9f6DmeRo0uBTm6BiBeJxAvPqIMgAt2YKT937mpCgKROJIw9vhaiSg4Qjp\n2b/elYyQigQ5XEVhtLet7eHGhS3c/9Ar/s4lLgNvKPiKosSAdwOflVJWpJS7gIeBD1/i+iTwR8Bn\n6nmjl+K7z5/loefP8lcfWOs96/U8dvdmWN+T8jy2YjkENYWA14Qro4gS9hdP7+THUJN1EPw5symf\nOVvzPA0aXIrymbNEZ/fUPI/qU/ABlEgCPIZzKopCLBygaHi3um+a28zuM+Oe6+mfz2fetoKxosFf\nPXJwWoVqelGtpYAlpTz/JGIvsOoS1/8l7o5gyuOTvrm7ly9sO86/fHwjHUn/WannCgZncxVumJ32\nPKaoWyTC3q11WSlA1F9SipMZQUv7Sxq7GPEF8ymdPF3zPA0aXIrSiVPEFs6veR6tuR2RHfE1Rokk\nkLp3P3tTOEhRtzxb3fObo8SCGgeG/CcwhgIan/vIBg4P5vnzh/dPG9H3IvgJ4MITiDzw31RMUZQN\nwCbgc7Xf2qWRUvLAthP8685TfPHnb2Jem/+MVCklT50c5ea5zZ5bGjpCULFs4h4FX0oJehEl4lPw\ns8P1EfxF8ymdOFXzPA0aXIrSydPEF/qLirsYWrodJ+NP8AlGQArP8fiTiZJeK1sqisKWBa3s6h33\n3QkLoCkS5H999EbOjJX5g2/vxfSY/DWVeHFEF4EL4wNTwE8se4p74vm/gE9LKaUyRa3s8xWLv3h4\nP2dGy3z5l26uyrIHODpaomQ5rO32HglT0C1ioaD3DF69CIGQ78NXZ2yIwA13+BpzMRJLl1A8eqz2\ndokzCKdcwRgbwxrPYI5ncMoVnEoFR9eR530hFVVBjUTQYlG0WIxQKkWwtZlQSwuBJu/5GjOd4uGj\ntN22qeZ5tHQbTiGDtC3P3xdFUVCiKWQ5h5J640NjRVFIRoLkdYuoxzO4nlSU2akIz/SOc/tC/6Gn\n8XCAz39kA5/99l5+/gvP8hfvX8Ncn02Z6omXZ30UCCiKsug8t84a4MAF1yWB9cA3J8Rew20p2aco\nyvsmfP+vcv/997/6761bt7J169Y3vJHdx0f5k+++wtaVs/iT91zvq1ft+VQsh8ePj/AzKzu9h1ZK\nSV636Ex6j6eX5RxKzF9opXRsnOwoWsssX+MuRqilmWAqSenkKRKLF9U839WAlBJzbJzyqdOUTvVS\nPtVLpX+ASv8A+sAgwjQJtbYSak4TbE4TiMdQo1G0aBQ18NrXQQoHp6K7P+UyVjaHOZ7BHB9HOg7R\nri4iPV1Ee7qJzZ9LfMF8YgvmEenqvGYWV2HZ5A8eJrnqkvEbnlG0gCv64+cIdMz2Pi6WQuTOgQfB\nB0hEgmTKpq9Kt1sXtfGVF86yvD3BrCb/BmYkqPHXH1jHN3b38pF/foZfu2sp92yYg+rBcNy2bRvb\ntm3z/ZiXQvFYNvTruBE3vwjcADwCbJJSHrrguvNf9bnAc0A3MCqltM+7Tvo5vT4zVuJfHj/Ont4M\nf/DOVdzqsyja+Ugp+Y8DQ6SjQe5Y5H3FzldMyqZNZ8pbNIKUEtF3AHXWYl9VL+3hPgqPPUjzz9bn\nzPvgH/05icULmftz99VlvumGMTJKds8+CgcOUjh0hMLhowjLJr5wPvGF84nNn0d0dg/R2d1Ee7oJ\npJI1W+d2qYQ+MEilf5DK2T7Kp89QOnWa8qle7HKZpmVLaVqxlKaVK0ivvZ7o3NkzckeQeeEljv7V\n33PTt/+tLvMVHvs6wZ5FRFbd5HmMlAJx9gBq9zIUj7WqxksGQkjafIj3oeECu06P83Pr53h2AV+M\n4+cK3P/QK4SDKp96yzLWzPVXkkJRFKSUVX+YvAp+M/Al4C5gFPg9KeU3FUWZg2vpr5RS9l0wZh5w\nEgjKC1rMexX80yNFvvTUSXYcGeYDN8/jw5sX+E6qupCX+rPsHyrwoXWzPbtmpJSczZToaIp63lXI\nSgGRGUDr9hcqqu/fjTV4iqa73jDVwRPDP3qCvm99lxu+8Pm6zHclkVJSPt1L5vmXyL7wEtmXX8Ep\nlkitXU3yupU0LV9K04plhDtnXTGBNTNZCoePUDh0lPz+g+T27kMYJqm119O84Qaab7yBxLIlP7Gb\nuFo5/vefB1Vj8ad/pS7zVV7egZM5R+KO9/oaJ0bPQjCEmvK2K3aEpC9TpDsd9xXZ9+hhNw7l7uW1\n7b4dIXn4xT6+uO0E89pi/OIdi1k3r9nTZ/ayCH69eT3BH8iU+fGBczx+YIizY2XuvXku990y33dt\nnIvRl6vw8IEh7lvbQ7PHNoYAuYpJxYd1DyBGTkM4jpr0txsp/PgbBDrmEL3+Vl/jLoVdKrHzp97O\nph/+O6G092ik6YI+MMTY7ucYf/pZMs+9gBIM0rxhHc03rid9w1pi8+dOexeKPjhE9uV9ry5U+rlh\nmtevo+XmG2m5ZSPxxYuuuh2AlJKn3/oervurPyN1/aUC9vxhDfVSfOI7NN/32/7uRS8iRs+i9iz3\n/DpmSga2ELQ3eXfRmo7gqy+d5YaetK+zv0th2YJH9vTzf3acJKAq/NSqTt60qpOlXU2XfB61Cv4V\nMzP6x8vkKxbZssmxc0UOD+Q4PJAnUzK5Y+UsfumOxWxc2OqrY9XrkalYfO/gEHcv6/Al9o6QZMsm\nXSkfvnvHRpbzqC3efZGTWP2niK693fe4SxGIx2ndvIlzj/6IOR98X93mnSqEaZJ5cQ9j259mdMcu\nrGyOlps30nLLRhb/5ieJ9nRf6Vv0TaSrk86uTjrvfjMA5niGzPMvMv70s5z56jcRpknbbZtove1W\nWjdtJJCovmje5SK/b797CLp6Zd3mDLT3IHJjCKOCGvZReyocB0UBowQRb69dKhqiL1PCsB3CHqve\nhjSVe1Z18fWX+0lHg8z32DvjUgQDKu++cQ7vWj+b/X1ZHj9wjt/6+ks4QrKyO8Xy7iTLuppoawqT\niARJ1sHovWIW/t1//STJaIBUNMTCWQlWdCdZ3p1kYXvCc1KTV/K6xTf29rNxTrPvlXm06LZea0t4\n9/eJ7DmwdNT2eb4eyynmyH7tb2j5pT+lnhUpxnY+w7G/+xw3PfS1aWlJ6ueGGdu+i9Htuxh/7gXi\nCxfQtuVW2m7bRNPK5dPegq+Vcu8ZRnc8zehTu8i9vI/kqhW03X4rbVs2E1s4f1q+Zwc++6fE5s5h\nwS99rK7z5r77T0TX3U5ogb+FRORHkHoRrcN7iGhBNynoFl2pmK/X+Gy2wvcODvGuVZ30+DAEvSCl\n5MxYmSODeQ4N5Dk66BrBBd2iqNts++xdM8ulU28Khs039vaztivJjXP8HZDols1wQacnHffh7xeI\nvkOosxb6rpCpH3oB8+R+km/7qK9xb3hPQrD73fex5Lc/VZcQuprvR0qKR44x8sRTjDy5nUrfAK23\n3kzb1s203noLoearz/VUL5yKzvizzzP61E5Gt+9EDYZov2ML7XduIbVuzbTw/etD59h9z33c+uh3\nCaZrd22cT/n5HyMqRRJb3uVrnBQOou8gatdSlKC3IohSSgZzFeJh1/D0w6nxEj84PMy7r+uiq8rQ\n8GqYcT78epLTLb69b4DVnUlu8nkaLqRkIFuiORb2nGgFIApjyFIGrXOx39ul8NjXCXTOJ3p9/UV5\n8PuP0vfgt9nw1QeuiMUoTIvMCy8x8uR2RrftQFEV2u64nfY7byd9w/QQsumGlJLi4aOMPLmd4ce3\nYQydo3XLrbRv3ULrrTddMdfP4T//a9RQkKW/+5t1n9sa6qX4429VFaUmxgdACtRW765U03YYzFXo\nTsd8l2Y5MVbih0eGeeeqTmbX2dK/FA3BvwR9OXfbddOcZtb7KJ0wyUhBB6SvQx0pBaL/MGrbXLfO\nhw+kEIx/8X7SH/gNtDrU0flv8zsOz33go/S8553M/oC/KIhqsbI5RnfsYnTbDsaefpb4gvm03XEb\n7VtvuyoPKq80+sAQI0/tYHTbDrJ79pFas5r2O26jfesWIt2dl+Uesnv2svdTn+GW731rSnZiUgjG\nH/gT0vd+2vf3QDqW+/3zEaIJblBGyfDv2oHXLP3bF7ZyXWf1/Su80hD8i/DKYJ7tp8a4e1kHC6vI\naisZFuMlg5503FNyxCQiP4os59A6/Sc5WYOnKD7xEM0f+h3fY71SOt3Lix/5BMv+4HeZ9eY76z7/\npKtmdMcuxnY8Q+HIUVo2bqDtji20bbmVcJv/0tUNLo5dKjG261lGt21ndPsuwu3ttN52C223bya1\nZvWU7JgKh46w5xOfYuVf/BFtt9Uniuyij/OjB91ItTWbfY8VmQFwHNS2OZ7HSCk5l68QCmi0xL25\ng85ntGTy3f0DLG1LsGVhq+dkzmpoCP556LbDE8dHGSzovGtlF60e+9Oez+QWrzMZ9dzRCiZ8iP2H\nUDsWVtV8vLj9P1BCUeI3v8X3WD/kDx5m76//Nj3vezcLPvHxmq1sY3SMzO7nGXvmWcafeQ41FKRt\ny2Zab7uF5hvXo0Uun3/zWkU6Drl9+xnd/jRjO5+m0jdA88b1tG66iZabN9Yl8evcY09w+E//L5b/\n0f+cEmPhfIyT+6m89BTp937S91jp2K6V37nI1xmaIwT92TKtcX8u3EnKlsP3Dw3hCMndy2aRrkNE\nzcVoCP4EJ8dKPHZshEWtMW5f2FZVNpwjBAPZMs3xsK+KmABivB+Eg9rmr3k6uNvYzJf/jOS7f4VA\nc22NJLxgDI+w91OfIdTSzJwPf4DmDetRg29sEUrHoXzmLLmXXyG7Zy/ZPXsxR8dovnE9LbdsF9+T\nUQAAIABJREFUpHXTTUTnzmm4aq4wxsgo47ufY/zp5xh75lkUTSW9bg3pdWtJ3bCGxKIFqKE3Noak\nlBQOHqb/oYcZfWonaz73tyRXLp/y+5e2zfiX/oT0B38Lrcl/c3SRH0GWc6iz/LkNDdthKFehMxX1\nHKr5E48rJS/0ZXnubIZN81p8NVXyyjUv+JmKxY5TYwwVdN6ytIN5VcbGCiEZzJWJhQI0+9zWSbOC\nGDox4Tv0v7Kbpw9R3v1fpD/wG77HVotjGPR/67sMPfKoaxHefCPxRQsIppIEk0mklFiZDOZYBmNk\nhNKJU5ROnSbU0kLq+lWviceSRY0D12mMlJLKmbNkX3IX6NyefVT6B4j2dBNfsohIZwehlhaCLc1o\noRBWPo+VL2AMjzC2fRdKMMisn76LuT97L6HW+p8tXYriE99BTaSIbbzL91gpJWLgCEqqAzXh755L\nhsVYyaAr5f8Qd5KxsskPjwwjpeTOxe101zGK55oV/KJh83TvOEdHitzQk+bGOemq3yAx4cMLaiqt\n8bCvVVlKiRg8itLUhtpUnY86/8gDhBZe56uGSD3RB4cYf/YFKmf7sPIF7LxbDdsVgjThtlbiixYS\nX7Sw5s5G0xHp2EjLBHFeBRBFQQmGQAvMuB2LME1Kp3opHTuBPjziVg7NZBCGQSCZJJhKEmpOX9Es\nYHu4j/z3v0zzR/+gqjwMaZQR50662beaP4Mkr5vkyiZdqVjVOUFSSvYPFdjVO86sRJjN81to99gz\n+/W45gR/qKCzdyDP0dHiq+GW0SqrZsJrYq8pCu1NEd8fbpEdQupF39vHSZzcGNlv/r+0fOyznuOH\nG3hDOg5OdgQnO4rIj+PkxxHFLKJcQFSKyErp1VrqSiAE6nmfIymQtgXCQQmGUSIx1GgCNZZAjadQ\nky1oqVa0VAta8yx3cWhQV7Lf+gei6+8gvGh1VePF+ADSNlDb/SevZcsGBd2iswZLH8AWgpcH8jx7\nJkN3MsLa7iTzm/1HA01yTQh+0bQ5Plpi32CeiuWwpivJ6q6k976yl8ARknP5MkFNoy3hz7IHkHoJ\nMXwKtXuprzCw8yk++RBKOEp801urGt/ARdoW9kg/9lAv9rmz2GODONlR1KY0WrodLdmClmxFbUqj\nxhIosSbUSBwlFH5dC1AKB2mZyEoJUSm6i0Ux5y4e+XGc3ChOZgQ1kSbQ2kmgYzaBznkEZs3xVx6g\nwX/DOL6PyotPknr/p6oSSCkFYvAYSlMrapP/Wva5ikmuYtKZjBKqwqd/PqYjODRc4OWBPIbtsLoz\nybL2BC0+yrzADBV80xGcKxj05SqcGCsxXrFY0Bxj1awm5rfE6hL2ZDuCoXyFaNANxfIt9o6NGDiC\n2tKDEq8uHlmU8mS++tc0f/j3UGP+umJd60jLxBo8jdV3HKv/BPbIAFpzO8EJsQ20daO1zKrqTMX3\nvTiOK/yjA9jDfVhDvdgj/WjJVoKzFxGcvZhgzyLUyMxzh00lUggyX/0rEne8j9Ac/4mMANLUEUPH\n3B14FdFzBd0iUzLoSHqvlPu69yMlQwWDV4byHB8rEQ6oLGqJMzcdpTMZIfYGj3HVCv65go7lCExH\nUDBscrpNTrcYKZnkKhZt8RDdyQgLW+LMSUe9d5nyQMWyGSnopCIhktGgf7GXEjF0HCUSR22uvphX\ncdt3QdVIbHln1XNcSzj5ccxTBzFPH8IeOIXW1uWK6exFBDvnTyu3inQc7JE+rL4TWH3HsQdPo7V2\nElqwitCClWitnTPubGAq0A+9gL7/GVLv/bWqXy9ZyiLG+92duFZFyKXp6kVLPExTpH4GxKT4nxgv\n0Z/TGSoYRIMqsxJhUpEgqUiQZCRAOKASVFWCmkJrPHx1Cv6Xnu8lqCoENZVkOEAyEiQVCdAaC9GR\nCNdV4CeZ7FqVLZu0N0WIVeESklIix/uQtoXasaDqD6GTHyf7jb+n+Wd/t2Hdvw5Obgzj+F7MY3tx\n8uOE5q8gtGAVwblLryqXibRtrP4TmKcPYp46CCiEl6whvGQNWntPQ/wvgRSC7Nf/lvitb/ddUO18\nRGbQPWvrXFRVYULTdhgu6EQmPAJTkVwlpWS8bDFcMsjrNlndIq/bmI7AcgS2kPziTfOvTsG/3I9r\nC8FYUccWko6maPURPdlzyFIGtWsJilr9Fi//yJcIzJpTVdjZTEcYFcxjL6MffB4nO0p48WpCS9YQ\n7FlU02s+XZBS4oz0Yxx7GePYXhRNI7z8RsIrNqAl6luMbCZgnj5E8al/p/lDn6naRSelRIycRkFB\naZ9X1QIrhGSkqGM7gvamSM1+/Wq4al06l+txpZSUDJuxkkFTJEhzLFS1NSUKo8jcMGrnkpp8w8bJ\n/ZR3fZ/0B38HpRHDDrjvkz14Cv2V3ZinDhCcs4TIyo0E5y5D0a5+kb8UUkrsoV70g89jHt9LoHMe\nketuJrRg5YxY3OpF/j//D1prJ/Gbf7rqOaQQiOGTKIEwSmt12cdSSoqGxXjJJBkNko5WryfV0BD8\n18FyXrPq2xMRX6USLkTkR5G5c6idi2sKnxR6mezX/pbEm++r+iBqJiFtC+PIS1T27kTaJtHVmwgv\nX48anf5NQOqNtEyM4/vQX3kaUcwRWb2JyKqbUGPX3mtxIU4hS/bBvyN1zycItPdUPY8UDmLoBEo4\nitJSfckJ2xGMTmhLayJM1EOmej1oCP5FcIQgUzYpGTapaIhUFQez5yPyI8j8iHvSX2OsfP6H/4Ya\nbSJxu7963zMNUSmi73uayr5dBGbNJbpmM8G5S+ra+OVqxh7uo7JvJ+aJ/YSXriO67na0tP/QwpmE\nfugFKi89Sfre36xpZyyFgzh30s2vaK2+FIiUkpJpM14yCAc0mmNhQnXq0HcpGoJ/Ho4Q5CsWed0k\nEQ6SjoXQauiWJKVEZodcn33n4qpj7SfRDz5H5cUnSX/wty5LuOB0RJTylF98EuPQ84QWrSZ6w1YC\nLbU1hZ7JiHKByt6d6K88TXDuUmIb33zNvl5SSgo/+ApqPEli67trm0s4iOFToGqobfNq6qompCRf\ncaMLYyG3mcpUCX9D8AHTFuR1t6Z1PBwkFQ3VlB0Hrr9Pjp5BOqYbjVNFONf5WENnyD/yAKn3/Oo1\n+YUVlSKVF59EP/As4eUbiK6/o3FA6QNh6uj7dlHZs53Q3GXEbnrzNWnxC6NC7pv/H9ENdxJZubGm\nuaQUyNGzSMtwv+M1GmGOcIU/r1tEghqpaJBwQKurj/+aFXwh3O1UUbcwHUFyoslvLRb9JNK2ECOn\nULQQStvcmnuqOoUsuW//A/Hb76k6TfxqRdoWlT1PUdnzFOEla4hueBNa05VpYSilANsE20I6Fjg2\nCMf9kQLO/0wqCigqqCoomltTJxAELQiB0BU7UBWGjv7ydip7dxBevIbYzW+55sJ67bEhcg/9I8l3\nfIxgl/cethdDSonMnUMWxlzRryI560KElBR1i1zFRFEUmsJB4pEAgTpo0zUl+I4QlE2HimlTsWwi\nQY1EOEgsVL8CV7KSR4yeQWlqQ0nNqnleYVTIfefzhJevJ7Z+auuITyeklBhH91B++gcEOuYQv/Vt\nl80ilVKCY4FRRhplpKWDpYNtwYRovyreqjYh7Jor8q9N4i4CwnGLqjmTi4TlLhpqAIJhlGAEwjGU\nUMz978sUsSH0MuXnfoRx+AWi6+8gumbLNRXxZZ4+TOHH3yD17l+py45ZlrKIsbMo6S6Upta6vI9S\nSnTLoWhYlE2bUEAjFgoQCwWq9kDMaMG3hcCwHAzbQbccTEcQDQYmXjStLtb8JFIKZGbCX982FyVa\nu9UkLYPcw18k0NFD/LZ3XjPJNfbIAMUnvwPCIX7bzxDs8d8BzC/SMpB6ESoF9ze4QhyOuaIcjEAw\nVJdDYSmlK/qW4S4mRhlplt0dQySOEmlyPz9B/8X4/OJkRijtfAR7bIjE1nsIzV8xpY83ndAPvUB5\n9w9JvfeTVdXNvxBp6Yjh0xAMo7bO8V1l8/UQUlIxbcqmTdl00FSFSFAjEtAIBzUCquLps3LVCr5l\nO0gmklDEaz+WEFi2W3IBJOGJFyQS0IgE6+sPm0QaZcTYWdCCqG1zavbXg+tzzX/vAbRUC4k33XtN\nRJ9I26L87GPoB58jfsvdhFdtnLLnLaUEs4IsZ5GlHEgHJdIEkYTbTzhweeOjwa2vhF5E6gVkpeje\nUyyFEku79zWF92P2HqH45EMEOueQ2PKua8bNU9njurdS9/wyWqr2FppSCGRmwG2g0jobJVb/cyYp\nJaYt0G0Hw3LQbQchJSFNJTjxo6kqmqqgqQqqoqDgbkADmnZ1Cn7vWGHiSSivPjFNUQho6qtPXPO4\n6lWLFMKNwimOozR3oSRa6vJ4wqiQf/gLaK1dJO58zzUh9lb/SQo//iaBjh5XcOJT09BZWgayOI4s\njoOiosQnBDUUnXY7KGkZry1ItoESS6MkWtydx1QYLpZJ+dn/Qj/0AvHN7yC8fP20e02mgsrenVRe\n2kbqXZ9Aa26vy5yyUnBdPKEYSkvPlEfVOUJiOa4Xw3YkjnBLKThCuucMuF7G+W1NV6fgX4nHnURK\nCeUcYrwfJRJ339A6WPXg1sjJP/xFgvOWEb/tHTNe7KXjUH7uMfQDz5K4472EF11X/8eQElnKIguj\nYBkoiWZ3cfbRs/RKI20TWcxMLFSK6ydOtEzJ4a893EfhsQfRWjtJ3Pneq6rmULXoB5+j9PQPSL71\n5wh2L6zLnFIIZG4IWRhzz/OSbVf8+3zVunSulOBLvYTI9IMQbmnjOvjqJ7GGzlD4zy8TXX8n0bW3\n1W3e6YqTG6Pww6+iRGI03fWBursRpGMji2PI/KjrV21qg1j9+4ReTqSUYJSQ+VGkXnBFv6mt7s1v\npG1R2vkI5qmDNL3lQwS7a4tmuRowe49QeOzrJLa8k/CyG+o2rzR1VzMsw/UExNJX7DPYEHyPSKOE\nyJ4Ds+K+afHmur5p+sHnKO38Pok33Ut44aq6zTtdMXsPU3jsQWLr7ySy7ra6Wj7SsZH5EWRhFCWa\nREm21yVcbrohbdMV/uKY6+tPzaq78BsnD1B8/FvENr6JyPWbr+rF0gv26CD5Rx4gvHQtsVvurusO\nSlYKiMwAoKCmZ0E0edlfz4bgvw5SStCLiNw5d3VOdaAkWmuOq/+Jx7Atitu+iz14mqa3foRAa2fd\n5p6OSCmp7NlG5aWnSN79cwR76rN9honuUhNlLKZKAKcjP7HAxdIo6Vk1Z3Wfj5MbI//9LxOYNYfE\n1vfM+PBNUS5SeOxrSMch+dM/W9fzpFfdwblzIKWrKXU2Hl+PhuBfBCkc92CvMOY+3hS9KfbYIIX/\n+hpayyya7nw/Smhmi5N0HIpPfht7ZIDk2z9Wl1A4mPTRZ5CZQZRIAiXdeU0I/YVIx0bmhl2LP9mO\nkuyom3EiTYPCjx5ElAsk3/HzM777lhSCyvM/Qt+/m8RP3Uto/vL6zi8l6AVEbtg1JifPZOq4UF+M\nhuBPMPkGyFIWWc65sdBNrVMSDieFoPLSNiovbSO+6a2EV90047fK0jLJP/qvACTv/nDdBFmaFcRY\nH0iB2jIbJRKvy7xXM9IyXNeBWXFfk1h9LFQpBeWd38fsPUzynb90xTKeLyfm2WMUf/xNQvOWEdv8\nDtRQpO6PIc0KsjCGLGUgHHeDCqKpunoSJrmmBV8KAUYRWc4jS1kIBF1LPt48ZWFU9tgQxce/hRII\nknjTvWjJlil5nOmEMCrkv/dFtFQbiZ96f13q00spkFk3pV1p7nRdbVMZgisltpCYtoMtJLbzWtib\nkO7PT1RWAFRVQVVAnQgXDqju7+BE6PBUL/KykkeM9aGEJyPJ6uOKKb/4JPq+XXUNY5zOCKNCacf3\nsPqOk7jzfYTmLp2Sx5HCcQ3OUhaM0kQORgqiTXU7S7imBP/VZBujhKwUQC+68dfRJEo8PaVuAGka\nlJ//EfqB54jd/BYiq2+54iFalwNh6uT/438T6JhN/PZ31SdT1awgRs+4iW6tc6ZkcRYTae0V08aw\nBabjoCnKq4ktkwKuTuR/qIry3yoruAuB+9tdIASWI912c44gGFAJTyQERoP1zfx+9T6Eg8wMTiQC\nzambta/v3035uR+Res+v1iVh6WrAPH3ITU7rmkd8889MafE+6VjIUg5ZyYFecnMvIk3uDjYUq9r6\nn7GCL4UA20CaFTB197dRcq34cNx11USTdU1/vuh9SIl5bC+lnd8jOHsx8VvfPmVJRdMNaVvkH/4C\narqNxJ3vrVnspZTu1jc7iNLcXbdEt0ksR1A2bEqmjek4hAOuEIcDGqGAVtc+yWIiW3Ky7Idu2QRU\nlWgoQDwcqPsOQFYKbo2neNqNMqvDwlvZt8tNWHrPJ68J9w5MJKe98Dj6K08T3XAn0TW3Tb2GCOG6\nm/WiW/bDMlxDNRSd+O2W/vCyC7gsgq8oSjPwJeAuYAT4fSnlgxe57ueATwFLgBzwIPA/pZTiguuk\nkx+9oECVA47tFqiyDXAct/ZJ8LwXJRyf8jfnfKz+E5R2/SfStkjcfk9dI1KmO1IKCj/8KigKTW/+\nUM3+SCkEcuws0qygdsx369vUASHclnNFw8JyJLEJwY0EtSlpNH0ppJQYtqBsWpQMG0WBeDhIUzhI\noMZS3a8+hmO7OyPhoLbPr8vOqPzCExhH95B+76/N+KCD83GyIxS3P4wzPkx8092Elqy5bDt2KZyJ\n+ksV12Nh6e4ioCgQCE1UYw2AFnituJ+igKKgNbVeFsGfFPePAzcA/wncIqU8dMF1nwD2A88C7cAj\nwLeklH99wXXSGekF3Cfx6hPTAm7GayDkVjS8Qgeh9uggpad/gDM2SOyWuwkvW3dNuG/Op7T7v7DO\nHCH17l+pWVikbSKGT73WYagO/kzTdsjrFiXDIhIM0BQJEp2iWkt+mayVUjBeu79kJFiXWlA/Wc53\nvrvbrXG+4uPfQlZKNL39o9fc59w8e5zy099HCkF809sIzl16RT5DUkrX6LUNt3y3sF8r3z1ZultK\ntI75Uyv4iqLEgAywUkp5YuJvXwH6pZS//wZjfxPYKqV85wV/v6KlFS6FPdxH+fnHsQZPuQlFqzfN\n+Jjli2GceIXS9odJ3/vpmrNnpVlx28kl29wwwxq/TIbtkC2bGLZDU6S+FvRUMLkDyesWigLNsXBd\nFiZZziFGz7iVXWss8CUdm9y//wvB2YtqahJ+tSKlxDy+j/Izj6JE48RufBPBecunhfFwIVPu0lEU\nZS2wU0qZOO9vvwXcfqGQX2TsvwOHLlwYppPgSymxB05SfvFJnJF+ojdsJXLdzddkHDi4STrZb/0D\nyXd8nGDnvJrmknoRMXwapaUHNVFbzL5pO2QmhD4VDdEUCV5Wl02tSCkpmzaZsok6Kfyh2owJaZQR\nwydR0l2oTbUdvIpygeyDf0firg9OWRTLdEcKgXl8L+XnfowSCBBdfyehRdddsWY3F+NyCP5mXLdM\n93l/+wXgPinlJTt6KIryceB+YK2UcvyC/3fFBV86Nsaxvegv70CYFaLrbiey4sZrttcsuB/43Lc/\nR3jJWqI33F7bXJU8YuQMavtclGj1h9xCSDJlg6Jhk45dfUJ/IZONrzMlg1BAoyUerqkdp7R0xNAJ\nlGQ7aqqjpnszzx6n+NjXSH/wt1FjiTceMEORUmCePEDlpW2IUp7o9ZsJr9o4LYrQ1Sr4XkyMInDh\nNzYFFF7npt4F/AXwUxeK/ST333//q//eunUrW7du9XArteNkR9D370Y/9AKB1k6iG99EaMHKa853\neTH0vTtQgiEi67bUNI+sFFyx71hQdSLVpDCOlwyiwQCzm2NTEvZ4uVEU5dUubbmKyUC2TCrq9mGu\nxoWgBCOoXUsQQ8cRioKarD6uPjRnMaGl6yjt+B5Nb7mv6nmudhRFJbxoNeFFq7EGe6ns3U75uccI\nLV5N5LpbCMyae9ncPdu2bWPbtm11m8+rD38cWHWeD/9fgb6L+fAVRflp4CvAW6WUL15izstq4QtD\nxzyxD+Pwi9hjQ0RWbCCy6uZrIunEK05+nOw3/p70+z9dUytCqZcQw6fcA8VIdVaiIyRjRR3TEbQl\nIkSC02dLXW8sRzBa1JFS0t4Urdral5aBGDqOku6syb0jLYPM1/6WxNb31L0cwdWMKBfQDz6PfmA3\nSiBEeMUGwkvXTWks/8W4XGGZXwck8Iu4UTqPAJsuEqVzJ/At4F1Syp2vM9+UC740DczewxjH92L1\nHiE4exHhZesJLVh1TR7EvhH5H3yFQFs3sY13VT2HtAzE4LGJg8Tq3Di6ZTNc0ImHAjTHw1e1+8Yr\nUkoKukWmbNISD9MUqc6tKC0dMXi8ptcf3ASl0o6HSd/3mbpkVc8kpBRYfScxjryAeWI/gY7ZhJes\nJbRw1WXpMnYl4vBHgd+TUn5TUZQ5wAHcCJ4+RVGeADYDOm52ugR2SCnfdsF8UyL4TiGLdeYI5sn9\nWH0nCHTOI7R4NeHFa1CjjRotl8LqP0nhv75G84d/DyVYXfEn6diIwaMoqVlVWZhSSvK6Ra5s0tYU\nIVbjgeal0G2H0ZLJaMlkvGxSthzKpkPZcnDO+0yqikI0oBELacSCGs3RIK3xEG3xEPEpCv80bYfh\ngk4koNGaqK4h+qs7rM5FVTeIkVKSf/gLhOYvJ7q2NvfeTEbaFubJAxjH92GdOYLW1k144XUE5y1D\na5k1JZ+RGZtp6wVRKWINnMbqP4F15giiXCA4ZymhBSsJzV8x4ysC1gMpJbnvfJ7I6k1Elq+veg5x\n7iRKKILa0lPV+LGSgWE5dCSrd2tcDN1y6M1WOJOtcCZTpmDatMVc4W6OhkiEXUGPBTUC550ROFJS\nsdyFoGQ6ZCoWYyWDkZJJQFWYm44xrznKvOYYTeE6NrsWkpGijpCSjqZoVdnBophBZgdRu5ZWnaho\njw2R++4/0fKR37+mErKqRdoW1tljGCcPYJ05AlISnLuU4OzFBLsX1K3m1jUj+MKo4IwOYI/0uz9D\nZxClPIHOeQS7FxCcu4xAx+wpqVA3kzHPHKX01HdJf+h3q37tRGYQqRdROxf7tmqEkAwXKgB0NEVR\n61D+wHQEx0dLHBou0JfT6UlGmNscZV46SkeVlvMkUkqyukVv5rVFpDkWYkVHgmXtCeJ12JlIKRkv\nGVQsh1lVLoBirA9pm+7BeZXPN//ovxHo6CG2/pLBeA0ugpQSJzuC1XsEq/8k1sBJFC1AoHMegfae\niZ9ulFiT7/dmRgi+tC2kUUEYFUS5gCjmEIUsopDByQxjZ4aRpkGgtZNAx2z3BeuYjdbW3RD4Gsk9\n9I+EV24ksmJDVeMna7yoXUt9h7QKIRnMlwkHNFrjtQkxQE63eKEvy4FzBXqSEZZ3NLGkNU4oMHWf\nEUdIejNlDg0XOTFWYn5LjI1z0nQ21V46Il8xyVZMulIx36IvpXAPcWPpqsM1X7XyP/bZazpcuVak\nlIjcKNbQGeyRfpwJoxVAa+5wf5ItqIkUaiKNGk+ihKOokahbZuG878XlCMucEsb+9x+C47h1JaR8\n9Qkq0QRaIo3alEZr7SS0eDVacwdqItUInawz9uggTnaE8NJ1VY2XwnHFvoqKl0JIhvJlIhOx6LWI\n/UjJ4NkzGU6Nl7m+K8nHN8wlUUc3y+uhqQoLW+MsbI1j2oJ9Q3n+48AQzdEgN89tZl5z9W7FZDSE\nosBgruxb9BVFRW2bhxg8iowm3VpUPgm0dhJo78E4trdqg6CBK9Jauh0t3Q4TblMpJbJSxMmM4GSG\ncQoZrIGTrrFbyrsGsF52tVELgKa55WdqvZcrZeE75QKo2sSTCUzLNOZaMEZGKZ/upXy2n8rZPqzx\nDMK2kY6DoqjEFs6jadlSEsuWEJlVW8JMtRSf+A5qPEnspjdXNV6MngVAbZvjb5yUDOXKhGq07MuW\nw45TYxwfLbFhdpq13SnCU2jNe8URkkPDBZ45k6E5GuTORW20xKrvhJTXTbLl6ix9URhFFsZRu5ZU\n9Tqbpw5Sfu4x0vf+hu+x9cDK5igcOUbxyFGKx08iDANF01ACAYLJJqKze4jOmU1s3hwiPd0zTkek\nbSMna+oIBy2RuvpdOlc7jmGQf+UA2RdfJr//IPn9BxGmSWzBfGJzZhOd00OorRUlEEANBBC2TenE\nSYqHj1I4dJTEsiUs/q1fI7X68jU/l7bF+AN/Qvq+36mqNK7US4iR06g9y32lnkspOZevoKkKbYlI\ndZEoUvLyYJ6nT4+zvCPBrfNapmWsviMkL/VnefZMhtVdSTbNa6n6QDpXMSnoFl2pmK+DXCml69qJ\nN6Mm/edXSCHIfPnPSL7rE5e1X3Olf4ATn/tnRp7YTmLJIpqWLSGxbAlaLIq0bYRlY+fyVPr6KZ/t\no9x7BqdcIblqBcnVq0ivvZ70DWsJNM2sjOEZ4cO/2pBCUDh4mNEdT5N59gXy+w8SX7yQ9Pq1pFav\nInndSs/WhrBtBv/9EU7+4xdIrVvDsv/xW4Q7pj4hzDi6B/3As6Tu+WXfY6WUiIEjbgimzxo5kwlV\nncloVWJfNGx+cPgcpiN4y9IO2hPTP4KkaNg8cWKUkZLB25d3Mqupunuu9rWTZgUxdNxdnDX/vvjS\nru+DlMQ3v8P3WL845QonPv/PDP7HfzL7Q+9n3kc/RCDuLaTaGB2jcOAQuVcOkNuzl9y+A8QWzKNl\n43paN99C+oa1qKGp7Tk71TQE/zJh5fKM7drN6PadjO3aTSidpnXzLbRs2kh63RoCidosCaeic/oL\nX2bwkUe58cEvE26b2i5E+Ue+RGjx9VX5ZkVhDFkc9x2VU9QtMmWD7nS8qnDDU+NlHj1yjjVdKW6Z\n13zVJWUdPFfgiRMj3Dq/lbVdSd8L3uTuKBRQaYn788mL8X6QErV1tq9xAPbYIPmHv0jzx/5gSs/R\nhGmx55d+nVBbC0v/x2/X/B0Qpkn+lYOM7X6OsZ3PUDp5iuYNN9B2+2battxKpHNWne4GJPhMAAAY\nx0lEQVT88tEQ/Cmk3HuGkSeeYmTbDgqHjtK8YR1tt2+mdfMtRHu633iCKjjxuX9mfPdz3PClf0IL\nT431KgydzJf/jOaPfdZ3QSgpBKL/kO9a7KbtMJir0JmKEg74c79IKXn2bIY9/TnetmIWc9NXb35F\npmzyvUNDtMXCvGVZBwGfC58jJAPZEi3xMPGwd2tdOrb7vnUt9V0JVkpJ9qt/Q+JN9xLsqq2C6us9\nxuH7/xJjdIw1//A3U5Lha2azjO961jXadjxDuLODtttvo/3OLSRXrbgqIv4agl9HpOOQ27ufkSe3\nM7JtO3ahSPvW22i/YwvNN21Ai9S/4/1/uwch2Pupz9C0bAmLft2/u8ULxtE96IdfJPUzv+B7rMgN\nI40SWscC72OknCgSFvJdNkBKyePHR+nP67znuq7LFn0zlViO4AeHz6HbgntWdfkOGzUsh6F8hZ50\nzFcvAJEdAstAbfcv2qVnHgXhEL/17b7HemH48W0c//vPs/GbX/HswqkFYdvk9+5nZNsORp58CqdU\npu387/oUGVu10hD8GrFLZcafeZaRbTsYfWon4bY2942/gqu+fm6YZ999Hxu+9gDx+fW3qAo/epBA\nxxyiazb7Gveadb8AJezdyh4vGViOoKPJ3yGtIySPHjlH0bC557ruaRGBUy+ElPzo2AjDRYP3rO4m\n5vPQOVs20CcSs7y+plI4iL6DVVn51uBpik98h+YP/Y6vcV6wS2V2v/NeVv7l/bRsrC7bu1ZKp3sZ\nfXI7I0/uoHDkKC03b6R96220bbmVUGt9smTrQUPwq6DSP8DoUzsZfWon2T37SP3/7Z17cFzVfcc/\n5+57tVpp9bRlWZYfGBs/ZBsbG5s3aUiYhCQNCYEQGjplkkwyk0A6TJsHtIUwLWWaTJomTUNCwmtI\nMiSFEAINIQQwjgE/5AC28VuWJUuWdqXVvnfvPf1jJSyMbJ+z2tXqcT8zOxqtzrl79uje7/3d3/n9\nfmflsrzIX3Yxvmb90gCl4MhPHyHy6uus+v63i3pcKWU+OufaL2lXxbSG+pGJARyNC5X7pHMmxweT\n2uWNLSl58q3jWFLy4aWzilpuYbIgpeSlQ/0cCCe4vm2OVqSRHH5qCmo+NVmRbrByGLV6obTSsgjf\nf2c+qqvIFSIPfO+HJDuOsvzeu4t63ELJRAbe0Yfwlq1ULJhP3WUXU3fpRQQW62eTFxNb8BUw02kG\nd7TTP+y/y4Qj1F20kbpLN1F70YXjXnAtBWY6zeb3f4TzH/hvKha0Fu24uXAP0Sd+RM3N39DqNxKZ\nY9TMQfjUqgJKKekeTBDwugh61aMjpJQ8t/8E4USWa1c0FbTAeyaypsXuY4PsPBLhaDhBVyRJ90CS\nRMZ8p43bYTCr2ktTyM+ckI8Vc6tpa6ke9y5VpyKl5I8H+uiJpfnEyqZ31fM5G+msSU80yZyQ+iK4\nzGWxuvZgzFmqXWcn+tQDuM9pw3vuGq1+Z8LKZHjp8qtZ9+gD+Ofp3YQmAiuTIfLadk688BL9L76M\nlTOpu2QTtZs2ELpgLa5g6StkjsYW/DGQlkVs7z7CW18j/MpWBnbsIrB4ITUXrqfukk15V80UKPv6\n9r3fxuHzFdWXn3pjC9muQ1S+X2+DC5mKYfUfxWhS3+tzKJUlmsrQVOXXsoq2dkTY3TvE9auai+bG\nSWZMnt3Vxe/fOE57R4Q5IT9r5tfQWldBU7WP2SHfu9YH0jmL7oEkXZEkR8MJ2o9E2NMdZfGsSi5b\n2sg158+hpqI4fl4pJb/Z3QPAh5fqVVnsi6UQQG1AfX3JOnEE3D7tkgvJHS9iRnoIXPEJrX5novf5\nP9Hx4KOs/ekPi3bMUiGlJHHwMH0vbaZ/81YGdw7rysYN1GxYR9WK5Rju0pagsAUfsLI5YnvfZmD7\nTgZ27CLy2jZcwSA1G9YR2nABNRvWTfiduBgMbNvJnnv+nQ2PP1K0Yw499xjOxhZ8KzZq9dMVCSkl\nnZE49ZVevC51S/Jgf5xn3+7lxjVzi1KF8vCJGL/Y2sHTO7toa6nmQ2vmsG5BLdUFZL4mMybtHRGe\nae/i+bd62LS4nk+ub2F16/h9vDnL4rGdxzinLsD6FvXcBtOy6IzEaaquUHZ75W/enRhN52rdXLLH\nO4g9/0tCN3xVuc/ZeOubdxE49xxabvxU0Y45UZjpNAPbdhLe8irhra+RONxB9aoVVJ+/mqrVbVSt\nWIbDV9xAjylbS6dQrFyOZEcnQ2/tYXA4qzW2dx/epllUr1lF/eWXsPj2r+CdPXFZgaUi2LacdHcP\nqeM9RYsZzh0/im+l7mKtiUwMYtSoh6JGU1lcDkNL7AdTWX63t5ePLJs1brEPx9J87/dv88LuXj6+\nbi6PfnETTaHx7UnqczvYsKiODYvquO3qLE/tOMYdj++ipbaC265ewsKGwo0Kp2HwkWWzeXj7URor\nPbQq1uBxGAZBr5uBRJr6SsXv56kAaUEmCRqL7866JsyBE8hsWnvRdyykZdH3p5dpveXmcR+rHDg8\nHmo3rqd243ogXwYi8vp2Bna0s//b3yO2bz8VrfPy2b/Lz6Ny+XlULGgtawTQpBR8aVlkwhHSx3tI\nHO0k2ZFPnY7tP0j84CE8dXVULllMcMUyFn7pc1Set2RKWvBnw3A6CW1YR+TVbcy+5upxH0/mspjR\nfhyaKfIyEQVvQDlLU0rJYDJDY1BdYKWUPLO3l7XN1TRXFS7MpiX5xdYj/M/z+/nQ6jn8762XEPQV\n/zE76HNxw8ZWPnFBC798tYO/+9FWPrymmc9fsQh/gTerSo+TD57byDN7e7l57VzlfIUqn5ujkThZ\n01Ky8oUQiIoQMh7RirYSTieOUCO5vm5cs1uV+52O+MHDOHxe/C36yWCTEVd1FQ3vu5yG910OgJlK\nEdu7j+gbuxnY3k7HIz8n2dGJr7mJwOJF+Oe14GuZi7+lGe/sWbhrazE0DKRCKJvg77n73uGaGFly\nsTi5oSFyQzEy4TCZvjDOygCehnr8LXPxtTRTvWYVzdd9nIpFCyYkTneyUL2mjYFtO4oi+Ln+4ziq\n67UX62RiAFGhXm8nls7hdhhaCVbt3VGypsW6ufp1fUYIx9J8/ZftpLIW99+yflwWtyoup8ENG1u5\nauVs/uPpPdz4g1e49/rVLGos7LNba/zMr/HzwoF+rjpXzX1mGIJKr4toMqPsyxcV1Vg9B5EhvYJj\nzvrZRRP8ge07qV5TWKXWqYDD66WqbQVVbSveec/KZIgfPExs334SR44S3ryFzkePkurpJRuJ4Kqq\nwl1bi7OqEmcggLMygMPtRjidCNf4DZeyCb5//jyM4S/hDARwBQP5n6FqPPV1U77mRbGoaltB1+NP\nFOVYZn83ztrZWn2kZUFyCKEYxielJJrMENJY0Ixncrx8uJ9Ptc0puFzC3q4oX3lkG1e3NfGFK8/R\nSkgqBrUBD9/6ZBtPbu/klvu3csfHVnD5eYW54S5bUMcDr3fQOZhUftoJ+lwci8QJ+T1qm8i4vCAM\nfbdO7WzM/m7l9mdisP0vVK1eWZRjTRUMt5vKJYupXLL4PX+zcjmy4Qjp/jC5oVjeCI4OYWWzyGwO\nK5cb9+eXTfBbPn1duT56ShFYvIjEkaOY6fS4fX9muAdHjWYp5lQM3D7lp4J0zsKSEp9GTPmLh/pZ\n3hikrsCol5f29HLH47v4x2uW8f4Veje0YnPNmmYWNgS47ZHtHO2Pc9PFC7SP4XEaXLqglj/s7+Mz\na5qVboJOw8DnchJLZwn6zm4sCSEQ/iAyGdVy6zhCjWQOvaXc/kwM7d5L86euLcqxpgOG04mnof7M\nxRM/++nxfca4etuUHIfHg3/eXOIHDo37WLlwL46QnuDLZBThDyq3H0plqPS6ld0EPUNpDoUTXDiv\nsEiXP+/v485f/YXv3rS27GI/wrLmah78/IX8+vVOHt5c2P9tSX0AlyF48/iQcp9Kr4uhVFa5vfAF\nkUn14wM4ahowI71afcbCymRJHO4gcI56Ep/N+LEFfwpQsaCVxMHD4z6ONdiHI6RXelmmYgivmj/a\nkpJEJqdV72ZLR5j1c0MFxdvvPjbI137Rzn03rGbFOHz/paCxysf3b17Hw5sP88yuLu3+QggumV/L\nlo4wlmIIs9flwJSSTM48e2PIR+tkkvld5xQxKquxUglkNq3cZyySncfwNNRPSH0qm5PYgj8F8M9v\nJX7o8LiOIS0LMxrGUaVeTkGaWchlwK3mR05mcridDmX/eV88w7HBFCtnqz9BjNAzmOTLD23ja9cs\nY00R4uBLwexqH9+96XzufWo32w+Htfs3V/sIepzs6Y0ptRdCEPA4iaXVfL3CMPL/21RceUxCGDiq\najEH+5X7jEX80GH880tTedPm9NiCPwXwzW0m2XlsXMew4lGEx6e392w6AZ4KZfdMPJOjQqP0wPZj\nA6xqqtKuk5MzLW5/bCfXXTiP9y2f3PkWi2cFuevalfzDYzsJx/St4rXNIbYfG1Bu73e7SGTUF/eE\ntwKZVhd8ACNYgxnVv4GNJnn02LQJx5xK2II/BfDNmU2yU98tMBprKIKjUm93KpmOKy/oSSlJZnL4\nFQU/nTPZcyJGWwHW/c9ePoTP5eDmAhZEy8GmxfVcvaqJe558U7vvglo/iaxJdzSl1N7jNLAsSda0\nlNoLTwUyndAak6MyhDUU0epzKqmu7pLtKWFzemzBnwJ4ZzWSOt4zrmNYsUGMgJ6fW6aTyoKfzlk4\nDEPZnbP3RIyWap92ffuuSJKHXjrEHR9boRZ+OEn4wpXn8PbxIV7Zd0KrnyEEK2cFeaMnqtReCIHP\n7SCpauW7/ZBJoFPqxAhUY8UGlduPRep4D55Zk/vpbDpiC/4UwNNQT6avPx8TXyBWPIoR0LSmM0ll\n/30qm9MKxXyrJ8Z5BSQnfeeZPVx/4bxxl0mYaDwuB1/94BLu++1uZet7hKWNleztjWFaqou3TpJZ\nxYXYkXBbU90NZFRUYsXVbkCnI917Am9j6fdutnk3tuBPAQy3G2dFBdmBwq0qKxHF8KsLrDRz+Xor\niuUUUllTuZ57PJOjN55mQY1exvSbnYO0d0QKim2fDFyypIGGoJcnt3Vq9avyugj53XQMqLlefC4H\n6aypZLULIfI39WxSeTxGRXD8gn+iD3eJ9222eS+24E8RXDXVZMKF+02tZAzDp1H3P5sCl9oOVVJK\n0jkLj6LgHwwnaA35tfdz/fELB/ibixfgc0/+0tZjIYTgc1cs4oEXD5LTtPIX1VZwoF9N8Edq4+cU\nnwiEy6MVZmn4AlhJvYXe0UgpyUYGcNdMzuiq6Ywt+FMEdyhENlK44MtkHOFTt6h1KiLmLIkQKG/e\ncbA/zoIavY3ID5+I0d4R4WNrJ98mGTqsbq2hscrLc28e1+q3oMbPwbCayAoh8LgM9Xh8pwc0BF/4\nKpBJtVDRsbCSKRAUvXSwzdmxBX+K4AxWkh0ax0WWSmB4NUQ2lwGnWj2jTM7CrVqLXUo6B1PMrdbz\nwf92ZxdXr2qastb9aK69oIWnduhFXdVVuMnkLIYUY+xdDgeZnGKkjtONzGWUx2J4/FhpdRfQqWSj\nUVxVxd0m0UYNW/CnCM5gJbnBwv2mMp3SqpmCmVUW/Kxp4lbMlB1M5TAEBDWic6SUPLurmw+2TY8w\nvsuWNtDeESESVxdZIQRNVV6ODaoJrdtpkFF1Gznd+Ru8Ki43WCaywGJeuaEhnJWTb1vRmYAt+FME\nZ0UFZqJwq0pmUgi3enEymcsq17/PmlI5HLMnlmZWpdrawAgd/QnSOZOlTfox+5MRn9vJ+a01bD3Q\np9WvMeClN6YmzC6Hob5O4HTlb/CKCCEQbi8yq5YbcCq5WBxnYOaUOJ9M2II/RXD4feQS41goy6YR\nbg2fqZk9GbJ3FnKWhUvRf38inqauQq/09ZZ9fVy4qE7rJjHZ2bCoji379AS/vsJNX1zN1+40DLKW\npRZfbzjzFrtGLL5weZCZwurpmIkkDt/UCqudLtiCP0VweL35xa4CkdkMQtFFA4Blqgu+mU+6UiGS\nyFKjuZ9se0eENfOnV0TH+fNr2NWhXjIBoNbvJpxUs8RHInVUNFwIAYYDLI2SDC49v/9ozFQKwy6a\nVhaUrlIhREgI8WshREwIcUgIcf0Z2t4qhOgWQgwIIe4XQpR2G/cZguF2Y2XUH7tHIy0LLAscGgue\nlpkXAQVMSyqHWA6mslR59bJr93RFWTJN3DkjtNZXcHwwSUJxERYg6HUSTeWULXGHEJiqVrvhBFO9\naqZwupC5ws5HK53B4bE3OCoHqhb+94EUUA/cCPxACLH01EZCiKuA24HLgXnAQuCfizPUmY3hdmFl\nC7Oo8guwTmWXiJQyn3Qlzn56jJTuVfW2DKVzWgu2WdPiWCTB/Prptcjnchi01gU4dEI98srlMHA7\nBQnFLFqHITBVs7MNB0h1wcfhhAIXba1MBmHvaFcWznpFCyH8wF8D35BSJqWUm4EngM+M0fwm4MdS\nyj1SykHgX4CpuSX9BPHCCy8otRNOJ1I1rvoUpGUhFK314Q4gDOWkKyGEcttk1jptCYax5uJENEVt\nwKNdUXMqMKvaS/fA2G66050XPpeDZFZNxA0hUMy9yt+xNUp3CIdTq47+aKRpYjjVb/qq14jN2VG5\nihYDWSnlgVHvtQPLxmi7bPhvo9s1CCH0yjTOIPQEv8A9LU0TFH3sQP7CV7DuASwJqgmzI5mfpxPv\nseaiN5qmoWp6+nsbg156T1MF83TnhdfpIKV4488LvqpLx1Bz+I9ur+ECGo00zXwtfkVswS8eKrMe\nAE4NAI8CYxVmCQCDp7QTp2lro4EQQiuK4t1IZQE/2V7d/aPqKjItidOhF2kTT+vV2J9K+D1Okhk9\n0XQaQrlkAkJHwwWgcX4JQ6/9aHTXk2yKhsqVFANOXTGrAsbaDPPUtlXkzwq9jTNt3oOrJoR3VmNh\nnYXAWaeTtCSUq2QKIdSzbIHGgN5G5R6nwYKG6eW/H2FOyKfuchmm1u9WXiB3GQYOxZuxcHm0jAJH\ndb1WXse7xhWqxjfbLo1cDsTZrMZhH34YWDbi1hFCPAh0Sim/dkrbR4CDUspvDv9+JfCQlLLplHaF\nmqo2NjY2MxopZcEJKWcVfAAhxKPkDbRbgDXAb4CNUsrdp7S7CngAuBI4DvwKeEVK+fVCB2hjY2Nj\nUxxUn+G+CPiBXuBh4PNSyt1CiLlCiKgQohlASvkscC/wR+AQcAD4p6KP2sbGxsZGGyUL38bGxsZm\n6lOS4GY7M/ckqnMhhLhJCPG6EGJQCNEhhPg3IbRCayY9OufFqD5/EEJYM3kuhBDzhRC/GX6a7hVC\n/OtEjrXUaM7F3UKITiFERAjxvBDivIkca6kRQnxRCPGaECIlhPjJWdpqa2epLiI7M/ckSnMB+IAv\nA7XAevLrIH8/UYOcIFTnAgAhxA3kI8mm42Oo6jXiAn4PPAc0AM3k3arTCdW5+CTwWWATUAP8GXho\n4oY5IRwD7gJ+fKZGBWunlLKoL/K+/jSwcNR7PwPuGaPtI8Ddo36/HOgu9pjK9dKZizH63go8Ue7v\nUK65IB/euwe4ADABo9zfoRxzQT5Q4k/lHvMkmYvbgcdG/X4ekCj3dyjRvNwF/OQMfy9IO0th4duZ\nuSfRmYtTuQR4sySjKg+6c3EPecuvp9QDKwM6c7EBOCKEeFoIcWLYjbF8QkY5MejMxWPAQiHEOcNP\nPp8Fflf6IU5KCtLOUgi+nZl7Ep25eAchxN8C5wP3lWhc5UB5LoQQa4GNwH9OwLjKgc550QxcB3wH\nmA08DTwhhJgu6cc6c9ENbAb2AnHg48BtJR3d5KUg7SyF4NuZuSfRmQsAhBAfBb4FfEBKGS7h2CYa\npbkQ+ToN/wV8WeafVafPricn0TkvksDLUsr/k1LmpJT3kV/nOe3axxRDZy7uBNYBcwAv+eKMfxRC\nTM9iS2emIO0sheC/DTiFEAtHvdfG2O6JN4f/NsIqoEdKGSnBuMqBzlwghPgA8EPgQ1LKtyZgfBOJ\n6lwEyT/d/FwI0Q28Sl70O4UQmyZkpKVH57zYxfRctB5BZy7ayPvwu6WUlpTyZ0CIvC9/plGYdpZo\nweFR8osKfuAiIAIsHaPdVUAXeWslRD5h61vlXjAp01xcAfQBF5V7zJNgLhpGvdYCFjALcJb7O5Rh\nLhaTt+auIG+g3Qrsm6FzcQfw4vB5IciXaB8CguX+DkWcCwf5p5d7gAcBD+AYo11B2lmqQYeAXw+f\nqIeB64bfn0ve19Q8qu1XyJdhGADuB1zlnvRyzAXwPJAZfm9o+Odvyz3+cp0Xo/rMY5pF6ejOBfDR\nYZEfGD5P3iOGU/mlcY14yK/rdA3PxevAX5V7/EWeizvJGzjmqNcdw3MxNF7ttDNtbWxsbGYI0yp7\n0cbGxsbm9NiCb2NjYzNDsAXfxsbGZoZgC76NjY3NDMEWfBsbG5sZgi34NjY2NjMEW/BtbGxsZgi2\n4NvY2NjMEGzBt7GxsZkh/D+WpbYbPfKvGwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b038c10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"cnt = ax.contour(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3D figures"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To use 3D graphics in matplotlib, we first need to create an instance of the `Axes3D` class. 3D axes can be added to a matplotlib figure canvas in exactly the same way as 2D axes; or, more conveniently, by passing a `projection='3d'` keyword argument to the `add_axes` or `add_subplot` methods."
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [],
"source": [
"from mpl_toolkits.mplot3d.axes3d import Axes3D"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Surface plots"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/8Ad/gC984QsDJ23bT+bOlU4B/qyALMueSHo6nW7Y0JvPW/jN33wNd965F9u2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\neOOXr/cTAACLF6dx8GAO73znfBQKBvb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P4aGHHmppDRtkG01yv/R19bkL8advv9D9agGG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\nBkqQZf7zElyXRsLbDz74gnjQPth58oXV8RShqwGtFIy++10KTePHa0c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8hsmGEjyolvJ9VZJEUGUWTIajJCoJh60EGXFRxLmgIla2L5zg3BdjQmTuDU06Po7Ps5V98dh0av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\nIYQQQgi/KDtMOhXKEBBCCCGEEGLB/g9AJazGUaVqWAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a0bd650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(14,6))\n",
"\n",
"# `ax` is a 3D-aware axis instance because of the projection='3d' keyword argument to add_subplot\n",
"ax = fig.add_subplot(1, 2, 1, projection='3d')\n",
"\n",
"p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n",
"\n",
"# surface_plot with color grading and color bar\n",
"ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
"p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=matplotlib.cm.coolwarm, linewidth=0, antialiased=False)\n",
"cb = fig.colorbar(p, shrink=0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Wire-frame plot"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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XKhgGDBvmYvfu9K/Len+J7kFNDJK2h31dLlekUjT2Gq3FJp1+xsPNiIZCcO+9\nbsJhmDIlwNy5Lk4+WaNPnyyWLpUpKoLvvxeZPdtFp07ZTJjg5euvzUV/yRIzXJtqT3PJJQq7dols\n2yby22/wxBMubrstFDEcY8YEmT/fFwnnXnIJvPmmF01LXvByJBnRmsLSz7WKi+wVukC1VujGbhKK\nioqOmNFe4BjMjGEl6mMrXy1preLiYoqLi/F4POTl5VV4kHO6PP+8xEUX6TRsWJaEF0V44AGF5s1V\nRo0yFXzy8/NZssTH118L3HOP6TV07Ghw3nk6Dz8cbcBGjQqi67Bggchxxxm88IKZ8+rXz4WSvGUv\nCuvLaOUprXtQUSq6sUjUnlKR103Vz3i4eaJz5rgQBGjcWOfaa3MIBuH++z1ccIHKKafovPpqkP/8\nJ8TChQE+/bSEP/5Rp1cvH2+9JfPmm8nzmxZuN0ycGGbGDDdPPunmwgtVTjqp7B4MHapQUCBHIh0n\nnwzHHWeweXNWUkm66hShr05qMxQc+7qJKnSt6EomK3QTHVdaWuqEZB2isQp6wmGz4s8ylPame1mW\nadCgQVIZuUx4mKpqGsyJE7XI+axJIsXFhTz8cBGqKjNzZh7FxSI33STz1FNmSM7i9ttVnnpKiixq\n5m7V4JZbzJDtvffKXHyxQdeuOj/8IDB+fOoiICtPWVxcDGS2n7I8rF7WWMGF2NeuTMl+JuXpagJF\nMWdXHjokEA7D11+LHHuswdq1pQSDAgMGRBvDvDxT2m7hwgB/+5uH3btFOnUqf57pFVcorF4t88wz\nbm64IboCNi/PoEcPlTffLHtmLrpIYeHCsr8nK3hJputa3sJ+pOQw06Uiz1d1aOgmymE6IVkHIHXl\na2wxS3kycpkwmCtWiDRvbtCmjXkeVVWjxA8aNszlhRdUZs6UuOEGmX79dM4+O/o1TzwR+vfXefzx\naC/zsst0wmF49VWRffvgP//RyMsz/75qVWItW3ue0vrS1ESe0vLoS0tLa2zcV2WNaE2FHBcvlsnJ\nMT/DBg10wmGBpUv9NGpkKvf075/YezzrLJ1x48ww/OLF5d/DvDxo107jqKOMKO/SYuRIlVdfLQuF\nDxmismyZnLQoDaomQl8fqcoGobIVurFDuy2Ki4uPqJCs04dZCey5OJfLFQlrWN5cIBBAkiTy8vIq\nnJ+ryo549myRyy/XIpWffr8/0s9onfP44+Gf/1S59lqZTz9N3AN3880a3bu7uP56jZwc83253aY6\n0KxZZs8xhMWjAAAgAElEQVTm/fdrdOmi8/XXAqNHu/jhB7M4CMoKawzDiBv5VdUdf6qNhbVRCYVC\ndWLcV7J+RvuUemu3bg3+ro4eO8OAxx5zs2+fiNdr4HLBBRcoNG4M+/cLfP+9QIcOySspN22SuP32\nEP/4h4dmzXTOPTf5sboO33wjcvAgBALETTzp00fl+uu9/PijwLHHGjRvbv7ZuFGiW7f0DVw699ZK\njQQCgRrvX6wtz7Y6Nl+p7rX1xxrQDeb9fu+99xAEgUAg4IRk6yuxla/WAyIIQtQQ58pI2Vlfrso+\n8D//DAUFIv37F0emmdh34XY++0zgxBMN5s1LfH0nnWTQt6/OU09JUQbkyis1fvpJYM4cid9+g9tv\n1/j5ZwHDgIkTpbh+ypoa+WVtVAoLC9F1vVyPvjZ7LWM9UbfbjSRJ1RrO3bBBYv9+gdJSyMmBhg0N\nRo82N0urV8v07KmR7FE9dAg+/lji8ssVZs4MMn58Frb+8ThWrTLF288+W+f11+P341lZcOGFKosW\nlf1s0CCVN96o+t499t5m/W6trXtc3oSRI4WaMNT23L5VZW4NQ5dlmT179jBjxgzWrl1Lq1atGDhw\nINOmTWP16tVJz9mjRw+ysrLIy8sjNzeX1q1bJz324YcfpkmTJjRo0IC//OUvkc1RdeMYzDQor/K1\nqKgIv98fCf9V1khU9kE3DIMFC3R69QqSm2uGgJPton/6CV5+WWLWLIWZMyW++SbxOSdP1nj6aYmw\nzQlt0ADGjNE4/niD55+XaNfO4PTTDUaN0nj5ZYlt24pTii9Uh6GyPH0r7JyTk1MjYd9MU5050Qcf\ndFFYaH4Wjz8e5H//k+nTx1xgVq2S6N07eTx0zRqZzp01srOhf3+Nnj1VbrstsQwewAsvuJkwIcz4\n8QqzZiWOLAwbpkQJtg8erPLWWzLV1S4oy3LCoq3YCSPJ9HMrSm0a39o2/Fb1+bXXXsuyZcs4/fTT\nWb9+PePGjcMwDD744IOkvysIAjNnzqSoqIji4mJ27NiR8LgVK1Zw33338e6777J37152797N9OnT\nq+stRXH4rSw1SHmVr6qqEgwGEw5xrgyVqQC18oSvvCIzerQQVdiS6FzPPCMxfLhOhw4waZLGTTcl\n3tm3a2dwyikGr70W3R967bUa+/cLzJwpEQ4bXHddkA0b4MQTNf7610b4fL5qNVjW+7J7s1blcWU2\nKnW1ICSdnGg6xS/ffSewbp2MYcAJJxjs3i3Sr18Ij8csBCookLngguSh0JUrZfr0KTOod98d4p13\nZFavjndJv/9e4P33JYYNU+nXT2XvXpHPP49/Frp319i5U+LHH817f8opOrm5Bh99VDPLUbLK52T6\nuZU1onWlSra2sDZJLVu2ZPjw4dx5553l6r2mc3/nzJnD+PHjadWqFfn5+UybNo1Zs2Zl6rJT4hjM\nJKSqfLUGKAuCgNfrrZUpGvZ+xt9+y+Hzz2WCQSkyGDrRuUIhs4r2uuvMBXLyZI0PPxT54IPE1379\n9RqPPy5HyZedeKI5QNjtNmjXTuaTTzRcLoGJEw2++ELknXdSFzZVFctYFhYWRrzZdAZY11Uqct2x\nRjRR8UusEb3nHvPzU1X4z3+CLFrkYtgwcxjlhx9KtGih07hxMslCWL062gPNy4MHHwwyZYo3rqVo\n7lwXw4Yp5OSAywVjxii89FL8JsbjMXOZ9mrZQYPUWh35lSjEaPUvJjKi9jFdte3V2anNquBkr12R\n65k6dSqNGzfmvPPOo6CgIOExn3/+Oaeffnrk76effjoHDhzgYLKRORnEMZgx2Ctf7VJ29n4+wzCq\nTe+0vC+fpmmUlJREeVZLl3ro0MHg2Wcl2rVzs2FD4gd00SKRNm0MWrc2X8NUZ1G5887EC1X//jpF\nRbBliytyXbqu8+c/lyLLGl6vwKZNPn75ReTFFyXOOcdg4sRoA1vR95cKa8HSdZ28vLxKe7NHkl5s\nKiOqqgKvvOJBEIzfZ6H6+fZbgU6dzGf7nXckevVKHo7dtk2kYUODli2j71WfPhrNm+s8/7w95Aov\nv+xizJgyKzp6tNkykqgCdsiQ6Lxlv34qb7+dWYOZiQIzK8QYa0RlWY7UNCQyovWR2O9URb9j9913\nH3v27GH//v1MmDCBQYMG8fXXX8cdV1JSElV5m5eXF+nxrm4cg/k7ds1XTdOipOysghJFUeL6+TK5\n8Kb6cluVlFZBj72n8/XXRSZP1li1SuHBB1XGjHHx2GNZcdf2wgsSEyZEh98uv1xn506B99+Pf21R\nhIkTdebMyY5qlenXT6O0VOa330SmTdN44AGV7dvNSst9+wSWLMnsDtdqE/H7/ZGwWXWqAx3uxtQy\nojNm5PyuEQydOmksW5bNoEFhZNnsUV29WqBz5+Th3FWrZHr3jg/XCoIZmr3vPndkDuaHH5rflbPP\nLktEnnyywfHHG7zzTvxndf75Klu3Svz6q/msnHWWzs8/C3zzTd2OFMQa0VglHWsdAWpFjq62+07t\nrx0MBiOFV+lw9tlnR6rqx44dS5cuXVi2bFnccTk5OVGTS6xoU030e9Z7g5lM81UQEg9xju3ny7TB\nTLRLs4u05+fn4/P5Ig/mTz/B558L9OplLlQDB+ps3Bjm5Zc9PPJImQf8v/8J7NolMGBAdGWF2w1T\np6r861+Jd/eXXKKyZo2Hr78uiui+5uX5uPxyjRNO0Hn6aYmRI3WuvFLjv/+VaNHC4MYbE3uZFd1g\n2MPfsiyTn59f7VW3h2toNxFPPOFCkqC4WOCqqxQWL3YzcqSOKIqEQh6+/NLFeecJScO5a9aI9OwZ\nTviZtWmjM2CAymOPmc/Y/PkuLrlEIfb2jR6tMH9+/Gfm80GPHirLl5vGVJKgb18t415mTRCrpGNt\nZBPJ0fn9/lrRdK0JYo11UVFRlVpKkq0Xbdq0Yfv27ZG/b9u2jT/84Q80bNiw0q+VLvXWYKaqfLU3\nvqca4pzpxdX+gFg5E7tSTaIK0KVLRXr31vHYChebNoXFi4uZPdvNs8+ax8+ZI/LnP2skiiJfeqnO\nrl0CW7dGvx9VVXG5iunTJ8iSJfmRVpndu03vc9s2kZdeEpk3T+Taa7XI4vzjjwLLl1dNnN3y6q3w\nt71N5EhZYKqTpUsliooEOnY09V9PPNFsAbLUejZscHH22RrZ2YnDuSUlIp9+KnHGGSVJC4v+7//C\nvPCCi19+gddflxk5Mr60f8QIlZUrTZ3a2O/LgAEqy5dXX1i2tuXpEg2Mrm5N19r2MO1URHi9sLCQ\nlStXRiJ8c+fOZd26dfTr1y/u2LFjx/L888+zY8cODh48yF133cWVV16Z6ctPSL0zmFblqzUHEZJL\n2ZVXUFIdIVm7KIK9VSWZUs3y5WKc1wjmaK6FC0v45z9ltmwRmD9fYsyYxHX7LpdZ/frII+ZuX9f1\nqDzppZcGmD3bzXffwaWXyvTo4ebAAYFmzQwaNTK4916Jvn3dHHuswbhxGoIAN9wQf73p3C/Lqw+F\nQlHhb/s5qkp9MLy33upFluGXXwROP11j+XIXgwerkX7LggI5oVCAFc7dtCmLc87ROeaY5HJpf/hD\nKb17h7nlFhfHH69zwgnxz1ejRgZdumgsXx7fitK3r0ZBgUzQrEGiVy+VzZslaiAVVStURdP1cPBE\nE3mY6RpMRVG47bbbaNy4MccccwxPPPEES5Ys4aSTTuK7774jLy+Pffv2AdC3b1+mTJlCz549OeGE\nEzjxxBO54447quMtxVGvDKa98tUwjKg8pJWfsyovy5Oyg8wbzDLd1+K0WlWCQVOsoE+f+IXKLOfW\neOwxlVGjXOTlGbRtm/xax43TWLVKZNcus7DJnift2FHD74dzz3Vz8skGX34Z5oknVKZO1Wja1CAn\nB1avVnC74YknJMaP19i7V2DNmvSNm2WkLa++JuTsrPttbZ4Oh0UpHb77TmDPHoERIxT+9z+JSy81\n+x6HDi0rRlm3zkX37smLU955R6JnT9OgptJ3nTw5wOLFHvr0Sb7IDx+usGRJvMFs1MigTRuNtWtN\nK75+vYTbbbBmzeEXlrVTUS8vHU3XdIXR61KVbEVmYR599NFs2bKFwsJCfvvtNzZu3EivXr0AaNas\nGUVFRRx//PGR4ydPnsyPP/7IoUOHeO6552pEIAXqicG0DGVRURGlpaVxla+HDh1C07QKV15mymBa\nBjscDqds/I9l7VqBtm0NGjVKfsywYTpHHWUkDMXaX9/rDTFypJ+nnnJH7oP1+ps2ufjtN4Ezz9SZ\nPl3D5zN/b8gQnV27RPbtE1AU2LjR9NiXLpXweGDcuOiFL1mO1tqsiKJYo159UVFRJBxv7ewVRYkK\n1R+ORnTKFNM4dehgGrzTT9fZv1+gc2cNw4Dly93s2SPy1FNuJkzw8vjjLnbsiH7m33tPomfP5AbV\nMqJ/+pOZrxZFV9JFvkePYjZvdvHrr3rc/ezfX2P5cpkXX5SZPNnLxRcrCYuE6hupNinJcs6KomAY\nRq08r4les6o5zLrIEW8wrVygVflqfbDJhjhXhKou3vZcnaZpeDweZFlO22CvWCHSr1/iMGtZeBcO\nHBD46Sch4dBnu0D7pEkwb56XYLDsPnz1lcBf/pLPzJlBPvxQxO8v+92cHLPIqE0bgzlzRFwuuPpq\njZNP1snOhp9+Epg/P7HhixVnjzXS1YWVnwYiu3mXyxX1//air9gcU103ouGwKabeoYPGq6+6OO44\nU6d10CCVggKJDh18TJ2aS7NmOj17qnTrprJnj8igQVmMHevlq69MbdlffxU47bTypXc2bJBo2VLn\nlVfcGEbiRb5RIxddu4ZZulSO85R69w7w+usyd93lYelSP+PHq6xenbo1KV1qU8+1Ol43mRG19+EC\nkeKi2piSY3/fR9rwaKgHBtPyJi3RZWvBTDTEuTLnruyDGFuBaxnsipxv5crE4Vj7ta1dK9CihcGM\nGSqTJskRYQN7P6dV2HTiiTKdOum88or5WAQCMGqUzJQppQwfrnHOOQZvvBH9yIwZo/HDDzBvnimj\nN3aszs6dYiSXed11roi8XmyONhAIVEp3tzJYnqyVnwYieaPY+yYIQlR4zMoxQXy1o31SQ11g9mwZ\nTYN77gmxbZvEkCEKixe7+P57geuv9/Lvf4fo0yfEFVeEGDNG5bLLVB56KMT27aW0b6/Tp4+PGTNc\ndOumpRwWbbFkicwll6jk5hqsWhX/GVqL/JAhId56yxfnKamqzsGDArfeWkjTpqW0aBFAEAy++OLI\nzjFnitg+XACfz1cnRs0daZNKoB4YTCAqhKFpWtQA45qUsgPKrcBN93xffw1FRQLt2qU+fvFiiWHD\ndAYN0mnVyuDRR8Wk/ZwAEyboPPusufDdcYdE69YGV1xhji8bM0Zj7tzoRbF7d4PCQoHjjzdYsULk\nlFPMRveOHQ2aNTMoKSEykDo2R1sZObuqyAdanmx5wuyxpKp2tNqS/H5/nVCA+c9/PDRoYLB3r4jX\nC2ecofHJJyKGIbBxYyl9+mhs3Oima9focGt2Ntx4Y5j58wPMmuVOy1jqOixdag6WvuqqME89lTzu\n37t3iM2bZX77rcyIgpuJE/Pp2lXjwIEs3G43oijQs2eYt982DsvCl9rEujepZBWrS4Q+kVd9pM3C\nhHpiMC0DYY33yfQA43QesnQqcCtyTatXi5x/vp50YTM3CQZvvSUyZIi50NxxR4BHHpH45RcjaQi0\nd2+dX38VmDtXZP58iUcfVSO9dYMG6XzwgcD335cdL0lw0UUaTZoYvPSSeTGXXqrx0ksiL79sLsp3\n3y3x7bdlerw1NUTa8qL9fn9GPdlk1Y52BZhMaJFWlN27BX7+WeCaaxQWLJBRFLj7bg9Nmxq8/HKA\n/HwzPP/zzyJt2yb2iM8+Wyc/32D9eolXX00dedm2TSQnx+CUU3RGjFD55BORr75K/JlmZxucd57K\nihVl53zwQTfNmhlMmhRm9Wo5Em7s3x8KCnwxnmjFq0ePtJBsuiSTp0ukn5spEfpE7zlWkedIoF4Y\nTJfLFVmkM0k6Xwp7UQukHiZdEe/pnXdMg5nq2rZtk8jLM2jZMvx7lZmfoUM1nnwy+ZxOSTLHeN18\ns8y//qVy9NFl1+XzweDBOgsWRP/uyJGmWtB774ns3m3+/Z13RE46yeDEE3UUBW691ZwbanoRVX/s\nUt0nuypSTQoeJJNRSyXonUmv6ZZbPAgCXH55mPXrZRo2NDh0SOCuu0KRWaXr10ucc46SdJzX11+b\nz+WSJQFuvtnDhg3JNxjLlskMGGDmzbxeGD1aTagdazFwYDiiF/vVVwJPP+3ioYeCnHeexqefShw6\nZB7XrZvKhx9KlJYKKatHD+cWjOqgooY6mRHNlAi942Eepljx/OrQEE12TntBjxUKjO0pTPdcsWia\n2U7Ss2fqvNnbb7vp2zcUFf697Tad2bMlvvsu+e8dfbTBb7+ZVbCxXHyxxquvRr+Hs84yMAyBVq0M\nzjrLzbhxMmecoTFvXpj/+78SRBFef93Lt99mZuZhMqx7bldFysTmpLIkM6LWgqTremSBr2p+SddN\nKbu2bTU2bZJxuw00DUIhIUo8fcMGiU6dEg8OB1i/XqZrV402bXSefDLIX/7i5ddfEx+7fLnMhReW\nnXvsWIW5c11xouwWffuqFBTI+P1w220eJk9WOO44g6ws6NhR4913zecjNxfat9cSGmt74Ut5RtQK\nM9a0ET2cjbXdiFZUhD6WirSVHC7UC4NpUVMGU1GUqBmNFQkFpnN927cLHHOMQdOmyc8RCoVYudJD\nv35KVPi3aVPTg3zggcTGS1HgkUckOnTQef11Me49du9usH+/wO7dZb8jCDBypBmWPe00g549g3z8\nscgDD/gYMcKD222Kc//jH75qW0zsczFzcnLq7FzM2F29tZlLlV9Kx4i+9JJZ7HPzzQqzZ7soLhYY\nPVqhe3c10gYEsHGjRMeOyQ3m2rVSRNCgTx+N4cNVrrkmK65q9bvvBPbvFzj77DLxg1NO0fnjH/Wo\nsKudo44yaN9eY+ZMN59/LjFxYtl19O6tsmpV2e/17FlmQMsjmRGVZTnOiGZKUSeda6ppqrM6tzwR\neqvwrbS0lGeffZa777478vweSdS9FaUGqC79VytnVlJSUqkZjek+7KtXixQXC8yYIWGfaGP3sPbt\ngx9+kOjePb6ncdIkjVdeEfnpp/hzz58v0qQJ3Hijzosvlhl56z3KMgwfrvPqq7FhWY0PPxTYs8eg\nR48wH38c4sABkaFD3YwYYS6qBQUuvvgis4+cfS5mZQuJaptU+aVElY6JGtcfesiNJME556i8+65E\nTk68B/jbb/DttyKnnZa4v9IwzJBtly5lP58+PcT+/QLz50cbr1WrzDmasfvAsWNNg52MCy9UefJJ\nFzffHIqSc+zTR2XVKilimHv1UqvUj2lVO0uSFGVEEynq1JQRPZKINaJutztyr0866ST8fj9ffPEF\nPXr0oEmTJgwcOJDHHnus3PPu2rWLrKwsxo4dm/Dns2fPRpZl8vLyyM3NJS8vj7Vr12b67SWlXhhM\ny2BUhySaJalnLyyKrTytyLnSubb16wWuvFLl448FOnRws3y5GNWmkpuby7p1OfToEUqYq/rDH2DU\nKJ3HHov+oa7Dgw9K3HSTyoABpr7s7t3xhnzkyOiwrKqqNGtWiM+n07WrzpIluTRrJnLxxWZR0qZN\nIpIEeXkGkyalP70gGdY9t8atQdUKiWILr+rCgpmq0jG2cf2bbwLs2SPSvbvCjTd68XgMFAW++Uak\nb98y47dpk0SHDhrJuqi++UZA0+Ckk8rev9sNjzwSZNo0T9TmbMUKOercFsOGmfJ2P/0U/TlY3s8x\nxxj8+qvARRdF/+4f/2jmyK0NVfv2Oj/9JPL995nzmJJ5opk2ovWx2MhSThNFkZ49e3L33XdzzDHH\ncODAATZt2sS4ceM45phjyj3PddddxznnnJPymM6dO1NUVERxcTFFRUV069YtU2+jXOqFwbSTyQXR\nMIyIh5NIJLw6rk1VTQM0caLOf/+r8txzISZPFpk2DTweM08pyzIrVkicf37ycMgNN6jMmiXxu70B\nYNkyEZ8Pzj/fnJ948cUaL74oxV1Xx45mK8mnnxqRXs6sLC8jRoDXK7BggYhhwOjRGoEADBigIwjg\n8Rh8/LHMF19U6vZEMAzzdS3RifJyw4moK4axIsQaUWvBf+SRPCQJ+vQJ8vbbEooi0K1biLPPVmjQ\noExoYeNGmc6d4/VjLTZskOjSRSP28e3QQWfgQJV//ct0CYNB0xNNNEvT5zNF1RcuTGyV58xx0bSp\nwccfx+/kevVSWbOmbHpJjx6mt1yd1JQRPdJJdi9EUaRFixYMHz6cSy65JOU55s+fT8OGDTn//POr\n4xIzQr0zmKIoVvlBt/f2GYaBx+Op1KIdSzqL+NatAs2bm6Lnfr+f9u0PsWpVCWvW+PjnP32AKVO3\ndq1It26JRzMBtGwJffuW9VwCPP64xKRJZQvm2LE6L70kEduTLwgGQ4eGmDtXjerlHDZM5/33JUIh\nge3bBbp3N9i3T+Cvf9Vo1crgwAGR5s11Jk6sXPGPpTcL4Ha7a0Rvtq5jGAILFniQZZg3z4eiCHi9\n4PMJDBigRKkVbdggcPbZwYh8WuyzsWGDWfCTiOnTQ7zxhsznn4ts3Chx6ql6UknGiy9WWLAgPiy7\ndavEV1+JjBqlRMZ62Tn/fC1KR7ZnT4133qn851tZjyuREU0mkJ5IAao+epgQHamp6LUUFRUxffp0\nHnrooTTWwK00btyYVq1acdddd9WoaEi9MJixH1xVDKZ9koj1Jcp0cUmq6ysoEOjcWY2qBG3e3Mvb\nbyu8957I/fdLfPCBwAknGBx9dOoH6brrNJ5+WkJV4YsvBHbuFBg+vOx3TjvNoEEDg82b5chCYG0U\nBg4M8vbbvqheztNOM3C5DHr0MNWCZNmstH39dYnXXlMwDMjN1diyRYwqGkrnftj1Zi0lnkwtDoez\np7B2rUQgAK1aaXz+uUTjxgbHHmuwfr2LwYONyIIPPnbskDnjDFNvNBgMxqkVbdgg0qVLYoPZoIEp\nbHDnnW7WrJE5//zkOrPdumn89JPAzp3R34snn3Rz9dVhBg6MHutV9nsqH3xgvh+Anj1V3nuvLK9Z\nVbZvF5k2zc2pp/po0iSHk07KZswYL6+/LsdtCmNJJJBuN6L2jYlVmVvXZRQzSSIDWRGjOW3aNCZM\nmEDTZJWMv9O9e3c+++wzDhw4wKJFi5g3bx73339/pa+7otQLg2mnsqE4+8ir2EkimfpClPdwKYrC\ne+/pnHNOIG4+5lFHwcKFCk89JfH00xIXXKCXe21nnmlw/PGmuMEzz0iMGxc/L/Pii3VefdUVef/W\nRqFbtyyKiwV27LDn/0yxd0EwWLDA9ExHjNBYtEikaVM45xyNzz4z9U0nTkyvMEdRlGrVm7WKQw5X\nHn3UVOXZuVOiSRODdu10TjnFnCLTvHnZZ79tm4tTT9Vp2NATEe+wqxV9+632u2JTcVK1ovHjFT79\nVOKNN2QuuCC5wZQkGDlSZcGCMqP4448iK1a4uOwyhTPPNOXw9uyJvu95eXDaaWXtJC1amJNwqloo\nVlQEf/ubh4suymLhQhfZ2TBlSohHHw0ycKDKww+7GTYsi19+qdhzkMyI1pYWcW17mHZ0XU/bkdi2\nbRurV69m8uTJ5R7bsmVLWrRoAZiDpKdNm8bChQurdK0VwTGY5WA1wdunadiLSzL9gCa6PktOr7i4\nlA8+cHP++Z6EocjjjoO5cxUWLRI59dTyDSaYczBnzJB45RWRK66I9y5GjlRZssRFaakSEYAwxQdg\n2DCNxYujH6Fhw3TWrxfJzzfYtEngvPPK2lD+9rcwHo/ZG7huncAvvyS/LruEoM/nixLHz8Qm5XDM\nYcZy6BCsW2duTKy1KRgEXRcYMCDaoG3cKEWGR0O8WtHWrdl06qSRnV3WKqAoSlTTuiiG+etfg+zf\nL3DGGaldslGjFF591RXxDl96KYuLLlJo2NC81r59Ew+L7tUrOizbo4fpZVaUUAhmzMjizDMb0KxZ\nDvPmuQiFYPRohU2b/Nxwg8KFF2r0769y3XVme0v37r6kPafpYhkJu6B/Mk/0cBH0T4dYY11cXExO\nTk5av1tQUMDevXtp3rw5TZo04YEHHmDhwoV06NAh7deuKeqFwaxMFWRsE3yy0V+ZXnjt54tVrNm3\nrwFHH23QpElyI33qqQaiCLNmlR9mAjNkumOHwJ/+ZNC8edm/W2G7/PxDnHyyxvr12XFVqEOH6nEG\n88wzDcJhge7dzdYTSTKPe+01ib59NWTZfG8+H/ztb/ELZqxIenkzQY8EKvv8vPqq6aXrOtxwQwhB\ngE8/ldixQ4xqJwGzQtZuMGPZuFGic2ctqlXALvlnNa37fAput0FBQTilBulpp+m43fDRRyKqCi+/\n7GPcuLK+y379tIT9mr16RRvIHj3MIdMV4eOPRU4+OZt77vHx448ivXurZGcbeL3m+/z1V4G9ewXG\njPHSpk0OCxa4aN5cp3FjnXHjstCS36ZKUZFwblWMaG1XydpfuyKTSq666ip2797Ntm3b2L59O1df\nfTUDBw5k5cqVcce+/fbbHDhwAICdO3dy1113MXTo0My8iTSoFwbTTjoGzmrRCIVC5Y7+qg5PxTJW\nsYo1GzeKdOmS+rU2bBDp3NkgFIIXXyxfKMDlgvx8A5+v7Djr/VtVqBdfrLFoUfwA4E6dDA4cEKL0\nQwUBBg82+/Nee01E08rCsi4XDBkSprDQXOSXLBGx+prt+VFrNmlVKo7TwdqQ2HN5uq7Xmckj5fHc\nc+YkmD/8wQAEzj1Xo0EDA12Hdu3K3oOuwwcfSJxzTnJL8P77iQ1qbL/dxo0+Bg1SeeKJvDgNUrvQ\ngq5rDB+u8NprLlaskGnaVIvSr+3e3cxX/l7DFeGMM3T27xcjbSndumls3CglVQ+KZcECmV69fPzx\nj4vRzFYAACAASURBVDqNGuk8/HApTZoYXHCBxhdflNKpk0anTj7OO8/HGWfo/O9/JSxcGOCxx0Ks\nWhVA0+Dhh1MMj02DdNaDmjKitUVFZPG8Xi+NGzeO/MnJycHr9XLUUUfx3XffkZeXx759+wBYs2YN\n7dq1Izc3l4EDB3LRRRcxderU6nwrUdQLg5muh2kPA2ZlZaVVhVkdBtPeMmHPU27cKNK5c+rF/N13\nBXr21HnmGZV7781OKYEHsG8fHDok8NFHIoWFpvCCJaVnvf9hw1RWr3ZRWhr9u5JkeqixXuagQTob\nN4o0bWqOF+va1QzLfvONwGWXBXG5zGN0He68U4oauWYfdZaMqt5zezsQmF9Yu2KJYRhR2pnVOQqp\nshuCHTvEiO7rf/8bYOlSmQYNDI4+2qB//zLBfICdO0UaNTJo3Djxezh0yOzZbN8+9bOl61BQIDFl\nSphPP5XYudOTchpG//5FvPaaxKxZIpde6o+6j3l5cNZZGmvXRn/Osgxdu5qzOwEaNTJo2VLn44/L\nX6qWLpW46iovV12lAAITJwZo1MigoEDmoYeCSJIpK6nr0Ly5wfXXh8nOjn7tmTODPP64i127qrZR\nq8znmsqIAuUa0brkYVZlePT06dOZM2cOAM2aNftdB/t4AO6//35+/PFHiouL+eqrr5g+fXq1jwa0\nUy8Mpp1Ei619kog9T5fOw5cpg2kZDV3Xk7ZMvP++6T2m4r33RHr0MEd5XXFFgOnTU++WFyyQGD5c\no1MnlZdeUiJ5WrvwwtFHw1lnqSxfHv+4DB6s8eab0f/epYvB3r0CF1ygs2iRGZYdOFDnzTddnHmm\nQna22SSfmwszZ0ocOlRUYyo91sBswzAii73dg7Let13vtbbmCaZi3jyZcFggJ8cs7tm3z5SqO3hQ\niAvHLlsm0aKFzpIlMh98UObVW2zZInHGGRrl3fpPPxXJz4eTTza49tpwlCeWSK3ozDM9+HywYYOb\ngQODcWpFvXqFWbEifgZsrCxejx4a772XeuO6ZYvIZZdlMWqUQigEzZrpXHmln5tv9vHII0FycmDK\nFA/vvSezZYuf44/Xueee+O9G8+YGN94Y5rbbMjuoobIkmoqTzIhqmoaqqrXiica+1pGoIwv1yGAm\nKtKxtytA5dRiqmow7SpBsixH/sRew7595kDnk09O/lq//moaojPPNI+5/voA69dLbNqU+P0YhsH8\n+QIDBxZx2WUB5s3LSViFKggCgwcHee21+Mele3eDXbuiR37JMvTvr+P1GixZYuawhg3TeOMNGUGA\nyy7T2LZN4JZbiggEYNmyhtU+7ssuoWcZw1Rh9vKk6iyVndqYkqFpMHu2C12HqVPDLFsm/z7nUuaX\nXwS6dtVQVZg1y0XXrj7uvdfD/v0CCxbI3HCDl9atj+Gqq3yR6tNNmyQ6diw/cVdQINGzp2mMr7hC\nYfVqOaUSjyCYPcPNmulkZxtxakW9egVZuVKmpCT6PnbvrkS1k3TvrsZ5onZ++UVgxIgsTjpJZ9Ag\n07g+8USQp5/20batRq9eGk8/7WL9eok33/RzzDEGM2aEmDvXxdat8c/0VVcpfPGFmHJSSyqq29NL\nNJ/V/r2NHXJeU+HcyuYwDyfqjcG0sGTVKjpJJNX5KvMQWnlKS/zArhKU6HybN4t07KjHqbDY2bBB\npGNHI+Ip5OSYDed//3t8AZCqqmzd6ufAAejVy82QIR5++EHkk08Sv0D//iFWrxbjck4ulymAsHRp\n9L0bPFhn/XqJRo0MOnRw8dlnIl9+KfL99zB8eNHvVZ1e8vNh6tSK5Ywqcs+t4i37pqiysoWJVHYS\nTcmo7kXq3XcliovN67/qKoVly2Tat9eQJIMLLlD59FORrl19LFwo8+9/hzjuOIM5c4K8/HKQ9ev9\nbN36M61b6wwenMUdd7h5//30DOZ778n06GEel58PI0cqPPdcarf0229FfvlFQNej9V3dbjft2rkQ\nRYF9+3Ij91HTNJo2NZWzPvssTCgUokOHIFu3Svj98fdR02DMGC+hkMCzzwaYMsXDY48F0TR45hkf\nd9wRYO1aiQcecDNvXgDL6Wnc2GD69BA33eSJ6/P0eOCmm0Lce2/Vcpk1hZVnFgQhUp1rH3IO1WtE\nE/1+VUKydZl6YzCtBVLXdVRVrdQkkUwRW1RjN9bJFvJNmwQ6dkz9YK9dK3DeeWWWURAERo1S0HUi\nk0fsntabb/oYMcLA63UhSXD55RqzZ8c/EoIg0LChTseORpKwrM4bb5Tdw99+Mz3idesEVBUKC2He\nPAG/H+68M5tTT5Vo2tTgv/91cffdKr/8Aps3Z35Hbp9gkug+Z6I1JZ2cU6xAQFVf9/HH3agqtG6t\n4ffDhx+a3pjHYxZwXXRRFn//e5i33grQqpU5ELxVq7LnIj/f4IYbQrz/vp/t2yXef1/ipJNSG8xw\nGDZvlujatSzce/XVYWbPdsWFeC0++0wkFIKGDQ22bYs3rIJgia6XDY/2er3k5GTTq5fG+vVZv4fH\nVVq3VigoUOIW+4cecvHVVyJXXx3mzjs9+HwGzz3nYsQIH/36hcjLMxg/3stzzwVp2TL6vo8ZoxII\nCCxZYoZ7f/sNXnlF5pprvCxbJvPRRxJbtlRsiazNML3ds41tG6oJIxrrYR5pw6OhHhlMK0dojZvJ\nVL6sIgtvOkVFqTzMc89NXZSxbp0YZzAFwWD6dI0775QoLY0WK3/jDTcjRpQdP2aMxiuvSISTTH+y\nql1j6dNHZ9MmgR9+gDvukDj1VDcbN4q0bm3QpYtGURG0axdCluH117MYMyaHMWN09uwR6NPHbD+Y\nMCFzEnf2TYE1NaamJPRSLVKJehsVRUkoU5eM4mIi+qqTJimsXGnK2VmC52vWyCxbFuCii8zCnw8+\nEDnrLI1EwZNjjjG45ZYQRx1lMGaML2Xj/ocfSpx4os5RR5X928knG5x+up5UN3bBAhejRikMHqyy\nbFninOAFF0T3XVr06KGxbp0rshnp0cNg8+bsqMX+s8/CPPKIm2AQZs+WefddmVGjwvTpo7Jzp8ik\nSSXcdJOPiy9WI56xHVGEW28N8e9/u3n4YRdnnpnNa6+Z3vqoUSrDhinMnFk5L7MutkFVlxFNFIJ2\ncpiHOX6/H1mWI1WnmXqg0zGYsXnKVEVFic4XCsFnnwmcdVby1zl0CHbvjj/GMAx69gzh82m8+qoQ\nCT9//bXIr78KdOpUdvyJJ8Ippxi8/XbiXtPBg3XWrIkPy+bkwFln6XTr5ubLLwU+/DDMSy+p/PWv\nYQ4e1GjVSmPkSJEvvgggigarV4s895wp0P7KKxJ/+YvG//4n8PXXKW9jyntkvdeqhl+ro682UeGG\nvbfRqspNp6jouedMMQBBgBEjVJYtkxkwQGXFChlRhJUr/bRuXbYJ2rxZ4txzk3uPW7ZIDB6s0q+f\nyuDBWRQXJz6uoKBsTqadCRPCPP98vFHRdVi0SGbkSJXBgxWWLfMmlLg77zyzvSS2ArtbN4316+VI\nT2T37hpr17oi99HrzWLKlIaA6Vkfd5zBv/9dzLXXHuKHHxR69w7xyScyn3wiccstyYcQtG2r8803\nIosXu1i1ys/8+UH++leFoUNV7r47xDvvyOzfX/eMXyIqkztN14ja26/sRjTZ61akreRwot4YTKuv\nLxPi63asBTbZAp4sT5mK2HNt3WoKC9gHAceyaZPIWWcZUdJ2lgHx+0uZNk3hwQdzMAzTO1myRGLg\nQD3O87j0Uo2XXkr8WDRsCOeea7BiRfTPv/hCYOtWs3Xh5ZdVmjY1ZfS6dy+moMDD8OGweLGLxo0F\nevUKc+utKsGgOUrq2WdFbrnFFHy/5prKe4Gpwq91DXtvo6maJCZsy0g0/3LGDHPu5SmnmPnsd96R\n+eUX8PvhhhvCNG0a/exs2ZK6/3LLFtOg3n57mLPO0rj6am9CwYt16yS6dYuXw+vTR+PHHwU++ST6\nXm/ZIpGba3DqqTqnn66jaWaINpa8PGjfXmP9+ui0yLHHGhx7rM727ebvnHOOxo4dYmS6zgsvyGzb\nJhEOC9x/fxBFERg3TsDjyeaFF3IYNy7Mbbfl8cgjheh6aVSbkBUW//RTkd69fQwZouD1GnEFdfn5\nMGKEwosvph+JqkvydJUl1SYv1oiWlpYSCoWiUl3geJhHDNXhQSQiVZ6youfbvFnkjDPKEywQIj2a\nVkN+OByOtIn06SPRqFFZLvONN0SGDIlfSEeM0CkoEKNk6+z3bOhQLXIOgG+/hUGDXPzznyrffCNQ\nVFQmkn7yybn86U8GTZuaerWKYhYPbdsm8umnZg/c3r1mKLdDB5333hMpKir3FkWRaIB0OuHXuiaN\nl6oy1yqG2b5d4ddfhf9n77yjoyq7Lv67ZWbSQ++gFJEivYnUQOi9idJFRH1FRRRUXrtYKKKoyKuI\nKCC9Fwk99JKQAAJKkyYdJD2ZmVu+Px5mMpPMJAEB/cS9lstFMrlz7507z3nOOfvsfUM9KYPoaDE+\nMWGCFVWFfv28p/udTti3T3hg+oJpZjJkJQkmTBCm3+PGeWeM6enCacSXsIGiCNPo6dO9g8rChSrd\nu2s3rg3atctgxQrfn0vLljrr12f/XbNmmSo/DgcUK2awfbswTX/11QDCw01eecXBRx/ZeOcdUfKP\nihJaxevXB9CihZ0mTZRsGb3D4WD//gy6dg3gnXdS+OyzZM6dk4mNzf7dGzRIBMzbrf5zJ3Ang3Vu\nlRKX2MIbb7zBAw88QHx8PNOnT2flypVcuHAhT++Rm3k0wKeffkrx4sXJly8fQ4YMwZlXRYvbhHs2\nYN4pObtbET/wdywXoqMlZs+W6ddP9ctiFU4Thpecn2t8QvQy4ZVXdD75ROHSJfjlF2G/lRVhYWIk\nZP787I+GaZp06mSwdq2Y5UtLg+7dLbzwgs7gwRmUK+dk2zbJSyS9fXuDmBiZChVMoqNlIiMz2LBB\nJjgYtm8XzdK2ba3uLPO11/IW7DyZzvDnDKT/rsjKzH3zzfxIkggeQ4ZksGSJyu+/Q9myGgULGhQr\nluFVKjt0SKZ0aQN/3IvffxdZvosMY7PBzJnpfPutxYvssmePsPPyV2EbMMDJokWZwhaGAcuXq3Tv\nLhYz0zRp29bOTz/5/mwjIzW/fczoaIVTpyQiIoIID4fNm1V69AgkONjk6lWJsWOtnDgh88wzgfzn\nPwF88YWFrl2dzJyp8uqrKe776Dlrm5oazIABhXjrLTvdu2soisnAgal8/bXsLou7BCuqV9dviB/c\nXWLgzeKv2Py57qvrv8DAQMaNG8fatWspVKgQAJ9//jkPPfQQkZGRuR4vN/PoNWvWMG7cODZt2sTp\n06c5ceIEb7/99m27nrzgngmYd0os3XVMXdfd4gd/RgPVV8A8dEhm7VonDz9s0qGDhdGjFez2zN/b\n7bB/v0TlyonukqSnQpAL7dsbpKfDp58qtGxpZHMmcaFvX525czMXCM9rKFpU2Hht3Cjz0ksqVasa\nPPFEAmlpaXToYLJxY7AX67hjR4NVqxS6dRN6sgUKGFSvbjJrlsy0aQqhoWJ+dPhwFVWF77+XefVV\nhWXL5Gx9LRdcwfL/Q/n1dkHXhcFzsWIGxYqZFC5sZcmSAJo10zl/XqV1axGcPEtl27cb1Knj9MvM\n3b1blGs9H9FixUwmTLDz9NOBpKWJn/krx7pQsqRJw4Y6S5ao7uMWLOhd4qxXz8m5c0LDNSuqVTNI\nTMStXORCo0Yau3crtGsXxFNPORk7NoOlSwV7NT1dol49nfvuM1i8OJ2YmFSCggx271ZYuFDlueec\nFC2avbbsdEKfPoH06uVk4EDdHUQHD5aIigokPT27YEWPHqnMni3nSbDiry7J/lXv7XpfWZYpW7Ys\nGRkZ7uB59epV5s+fn+Pf58U8esaMGTz55JNUqlSJ8PBw3nrrLaZPn35bryM3/LNXGT+4neU4V7bq\nMjbOa58yr+d26ZKwJ6pb12TYMJ3YWAdHjkh06WK5oclqsH17BuXKaRQq5M0IzXosWYaXXtL58UeF\n9u39M24jIkxOnZK8PCu9y7IGn38us2ULfPDBNSwWsUHo0kVi1Spv/8KqVcU/HnrIYOVKhSNHREnt\n+edVpkzJJHucPi1GUAxD9Gy//lqhenUrM2fK7p6aq/zqdDpRFOWusl//anzzjRAq0HWJyEiNzz+3\noGnw/vt2EhIkBg3Ss5XK4uKs1K3rxOFweDFzTdNE14UvqS9CUNeuGnXq6Lz7rtAP3rZN8Wss7UL/\n/k5mzRJl2aVLVbp08Q6wqioE11etyv55ybIoy3qq+4DYJOg6dO6s8cwzTkJCTC5ckAgNNQkNNenU\nSSN/fpGJFitmEh4uVILi48XGwhfGjrUSGmryxhveVPBChUxattRYssSWrSz+6KMma9ZYSUry31v+\nO5X37zZ8bRIMw/Bahwp40quzIK/m0YcOHaJGjRruf9eoUYPLly9z/fr1P3kFece/AfNPwCUWbpqZ\nRr23O9OJiZGpW9d0k3OKFoX58zUefNCgRQuVkyeT2LPHQqNGUp4Yod27G1y9ipdXYlaoKvTs6Z1l\numCaJk2aZLB5s8wnn6RQvHioe4NQtaqJaQoSkAuSJDLbuDiZgADo1KkgrVrpFCwI8+c7yZdPLJj5\n85vuwLhtm8xXXzn58Ufh79mvn0pSUmb51Waz+VRDuhnk9Az8HRe/CROsFChgcuWKxOOPOxg71ka3\nbk7WrrVgsYgesAuuUtnevRYaNpTdC7+rRA/i2d25U6J6dd/M3LFj7SxYoLJ3r8z+/TkzbUHMUx49\nKnP8uMSKFdkDJkDHjprfsmyLFhobNmQ+b7oOgwYF8tBDOqGh4tno1SsQgC5dnFSsaDB7toWRI4VL\ni67D7NkW0tLglVccvPOOjZ07LV7PyI4dCj/8YGHKlAyfAiB9+jiZPdu7FytJEsWLyzd67CE+e8ue\nqk8Oh8OtVXy3pen+Lu2Imz2XvJpHZ53tDAsLwzRNkv1Ru+8A7pmAmVcB9rzA1ad0mSnnJLN2s8h6\nbnv2SNSrl7kYiuzAwTvvXKN5cztDhhQiJsbmU2PW13Xu2SNRogTMmZPz+fbubTB3ruzOFl1qNsnJ\nyXz7rUyBAiZBQYFe1y1J0KGDzsqV3o9V69Y6X3yhIEkmrVo5+OgjnaAgGDTIwvz5TurXF9mBK4ib\nJjRsaCU6WqJmTZ24OJPGjYNISBDl1zu5MPxdFh1PnDsnceWKKEEGBsL8+VasVpOhQ50sWqRStaqe\nLQBcuyZx9WqmYIEnqUhcYyDHjlmoV0/2KfcXEpLBa6+l89xzAVSpopObtaHVCo8+KsyYbTa8hBJc\niIjQiI9XfHpORkTobNmiot2Is+PGWTFNGD3awZYtCqNH2zh/XqZ6dZ3oaAu1aumYpshaQZSNAwNN\nfv9dZuRIB19/ncF//pOPa9fEjUlNhWeeCeDzzzNuuLtkR4sWOmfPShw9mn1Z7NZNY+nSzIwpJ9Un\nIJvq092UTrzb8BUg8xo0b8Y8OiQkhCQPVmBiYiKSJN3V8ZV7JmB64lYDpj+R9ts5qpL13GJjRYYJ\n3oE6JCSY8eMVSpaE9euFbF5uxwJYu1amd29h/JyTWW79+ia6LhEfL3m5e5w8GcCSJYEMHmxkE10H\nkU16qgGZJixeLMqws2Y5iY62sXs3XL0qHEsaNzYZOlTn/HmJH390IsvibxISYNw4hYsXNcqXN7ly\nRaFatSA+/FBB1+8O0/nvghEjbMgynD0r88ADBqtXq+6s8sABxWc2l5NgAQjWa6VKBiEh/hf+Pn1S\nuXoV8uXT8jTE3revk6VLLXTs6PQK4K7XBgVB06ZC2ScrihY1KVPGYO9embg4mW+/tTB1agaNGuns\n368wZYqFgAAYOtTJ+fMS+/crvPCCw/0+8+dbkCR4+WVhUh4ZqdOlSzqjRgnBhAkTrNSpo9Ounf9M\nWVXFbKtLiME04dgxiTlzVNLTTdatU7PNILvgUn1SVdU9JhQcHOzeoNxp6cS/k1PJzeBmzKOrVq3K\n/v373f/et28fRYsWJX/+/Ld87jeLeyZg/pkM03OeErIzMm9nT9TzWKYJcXEStWtr7kBttVoJDw/H\nYrEgyzB6tHZD+i5vGe6aNTLduhl06mQwfXpOFlrQu7fOjz+aJCQkIEkSwcHBfPBBEC+/rPP440IO\nL+tlN2licviwxJUr4t/ffiuzd69Q9DlxQqZ0aZ2ePQUrds8ecf86dzYwTVizRuHNNzX3tTudEnFx\nNmrVktwzox9/rNCsWSgJCbdncXBZev1d+1CmCevWqdSurXPkiMyVKyIb69hR4+uvLaSkwMCB2an1\nMTH+x0lcv/c1n+kp9xcSEkixYrBvnxXDyF3ur1o1A4dDkIB8HRegXTud1av9lWV11q4V0nQffWSn\neHExeyxJEBpq0rmzxtWrMpIkLMuaN9fYtUth926ZpUtVUlIk+vfPZOaOHJlMbKzCjBkq06db+PBD\nu8/39USPHk4WLhSvr1YtmC5dglizRmXvXpVixUyf4y+eyCpPdzPSiVkFAW4Gf6dn1+l05llF7WbM\nowcMGMC0adP45ZdfuH79OmPGjOGJJ5643aefI+6ZgOmJvAY418xWYmIiTqfTr0j77Z7pcx3r+HEI\nCTEJCPA/OrFvn0yLFgbjxyvExWV3GfE8rzNn4MoVoQb0n//o/O9/irsElhWapt3wM1QJDg5FlmVi\nY1Xi4mSefVancmUTq9Vk/37v97TZoEULg6goESjfe09l/nyNzp1F5qlpog/78ss6iYnCfDokBOrX\nN5g1S6ZcuTT3sWQZiheHwoVh6lSNo0fF7ObJkzJ164a5g/KtwLXrd83KusqR6enp7uv/O5TQli8X\nn1H79kIT+L77TE6elDh7VuKjj6yEhoIvPkVsrEK9ejkFTDVHQQMQ7OsTJ2SqVTOYMSMwV7m/gwcz\nsFhM4uPxuwFp21Zj40bVp/xiixYac+daKFHCpFcv8WCuWqWQlgYOh8RLLzlYsEAlMNBE06BOnRBG\nj7YxZEgAqmrywgsOL+Z3UBB88IGdUaMCePllB8WL5/5ZBgUJb9CZM1WmTUvn8OFUvv8+g2++yWDY\nMIdP0tLNIK+qOq5n8Wb0h/8uGeadMo9u06YNo0aNIiIigrJly1K+fHneeeedO3FJfvFvwPQDV7/O\n1afMSaT9dmeYIL44W7dmULOmM8fRid27ZVq0MJk4UWPAAJUb673P89qwQQRXWYZatUxKlcoupu4p\nBFCjhkr+/BIxMaKs9PHHFl59VSMgQOz6O3c2WLYs+zm1ayfcS/7zH5WxYzUqVDBp21YE0eRkifPn\nJX7/XZRvV62SMQzhXXjmjMSoUaG88opYLB0OCAoyGTdO4dgxiWLFYO5cJ+HhJjabSc2aVm6FIOdS\n0tE0zb1geZbQXPf/Tgin3yzeflsIim/YIEqOL71kJy5OQZYl8uc3fbqM6Drs3at49b49YRgmMTE5\nB1QQZduKFQ3GjLEzYYLVLSrhb4h906YQ2rZ1snq1lYQEezYijK7rFC5s8MADRjZlH4By5Qx+/13i\nzTczSTnDhgVQoYKBqsLZsxLHjolnqHp1nd9+S2HjxjSqVBGZ7YAB2TNtRRFEtHz5cv/cFi5U6dgx\nkIgIjYgIPZt2s0uCMKdZ+ZstT+YkCOAyNc+qP+zrWfyrRd89kZSUdMt9xZzMowGGDx/OxYsXSUhI\n4Ntvv73j/rlZcc8EzLyWZLMqx7j6lLkd+3Y9sK6sRuzYA2nQQM5xdGL3bokGDQx69TKoWdPkww/9\nl1k3bJCJjMxcBIYM0fn2W/EI+Co722w2evUyWLhQIT5e5dAhmQEDMv++Uyfffcy2bUU2qetiPvTJ\nJ1U+/lghPR2eeCKdQoVMatWysm2bxPTpEgkJiSiKGCl59FGDt982sFhEOfLgQZmOHQ2efVbFNIX/\nZqtWGq1bO7HZoFEji0+NUl8wTeF/mpSUhCzLWK1Wry+cq4QG+Mykso5nuIbb79RilZICv/0m06uX\nk127RPD6738DKFHCZMqUdM6eld3iAJ44elTIFBYs6Pu8zp0Tz0hOTGkQ4ySNGuk89JBBRITO11/7\n/x5IksTq1RZ69dKpXdtg8+YwLw9Rl0xjamoqrVqlsXKllI2ZO368ldKlTc6eFec3daqFxEQJq1XM\nTw4YEEjx4gbt2mmcO6dgswkVog0bVPr1c2YTVtB1ePddG6NG2Rk/3pZjoPvxR5U337SxfHk6r77q\n8KlKVKKESdmyBjt33lkRg6xCC770h7M+i5rmamX8NYEza4b5T5TFg3soYHrCV4BzLaa3ohxzOwKm\nS87ORZEOCwtj3z41R8H11FQ4elRyy+ZNmKDx/fcKP/+cvbeq67Bpk0zLlpkBr0cPg9hYmePHNb8y\nfr16GSxZIvPFF0EMGyYIFS40aGBy+bLEb795n5eui+wwOVnozzZrZnDkiITNBp98Eky9ejqdO2sM\nH57M0aMyLVsW5qWXQqhVy2TVKhmLBQYPFtlPSoogKiUl4VYfev/9dKKirHz5pRiG798/9zKZS6rQ\nVVrPZIv6/zyy7v6zjmd4Drd7CqffrlLumDEiQFWubKLrEBxskpQk8c47djZsEGLrvlw4BFHMf/YY\nG2uhXr3szNqs2L5d4ZFHxHFGjXIwZYrFrzj79euwf79Cs2Y6vXs7mTfP4maTuogwrvvXoYOYa9S0\nTGZuXJxQAurXTyhBmabJmDFWmjfXSEwUikQWC9jtEqNGObh2TeLCBWHNZRgwYoR3NDRNk0WLgggP\nNxkxwknp0gaLFvl+TubPV3nvPRvLl6dRrZpB3boGSUkSx45lv0Ft2ogs824jaxDN+iy6MnjPZ/FO\nb+hc8FWS/Tdg/gPgi6Tj2af8M2bSt/pQejpsGIbhftB0HQ4ckKhd2/9x4+LE7KMriBUrBu+8o/Hc\nc6rbsNd1Xvv3SxQubOJR3cBmM+jZM4OpU00CAgJ8yvhVqGCSP7/J5s0W+vf3bjwpiii//vST9DoM\n3AAAIABJREFU94577FiVOnUMOnY0eO01nXbthIj29987yZ/fYNcumUWLVDp1EubTFy5IN3pSBqdP\nS1y8CAMGGAQGgqaJvl2FCgajR6ukpkL+/BJvv53KuHEqc+c6WbxYZt4835+XYQgh+JSUFLdUoUsu\n0FdJK7cNUk6ar67xDH9syJvFzJlWihc3mTLFiiSJgJGaKtGmjca8eSrBwb4JNrn1L+PirLmWY3Vd\nEIMaNhSZS8WKBk2b6j6dSUBkeY0aiXGhTp00duxQ3CMdWYkw1apJyLLEb78FuUvhEyaEMWxYOq1b\np7Nxo8LUqSJoOZ1CBahtW+cNPVmTOnUMmjTR2LJFYcoUK9WrG9lE5+12GD8+hPfeE0za4cOFFVjW\nr+muXQqvv25j6dJ0tzKRLEO7dr5nRkXA9J9h3k22quezqKoqFovFS8Tf34buTgfRf6pTCdxjAdMF\n12J5M33K3I53K/B02AgODiYkJMS9mB85IlGsmEm+fP7/PiZGpn5974X4iScMDAOvAGKaQsouIiJz\nk+DKpgcNcjBvXjCy7F/0IF8+KFPGt5Zo1rLs6dOwYIHM++/rbpuw8eMVevXSadUqA7tdYvr0RIKD\noVOnUHQdAgNhxw4nmzeLuc/vv5epXdt0L4IHD0J0tEK1agaTJ4vPp0cPB6mpgknbvbvBM8+obicL\n1zW6SsyyLJMvXz6fUoVCZ/fPLXD+5vJcWeytEDkOHJBIToZHH3Vy+rQoSz72mJPGjXVUFbZvV2nU\nyJux5XSKZyIqSuXoUZlJkyysX69k6/PGxVlyDZg//yxTooRBwYKZPxs50sGXX1rcknmeiIpSadtW\nnE9ICLRsmTm3mP1+icATFaXeuFaF2FiVZ54xqFXLit0u8/HHYTRr5mTrViuvv55CUJCGpkH//qk4\nHA4aNXKycaPC/v0yo0ZlZ7/++KOVBx/U3D3eyEjx/+jozO/3hQsSAwcGMGVKhpclGoh+pa+AWauW\nQUKClE3G76+G54Yvtw3d7VYr+jfD/IfC9aF6Bsu89ilzO+7NPGy+HDay9tL27s05uwSIiZGoV8/7\nNbIMY8dqvPmmSnp65kO8aZMg/GTNpmvVCqB8+ezkHxeSk+HQIYkLF2Sczuzn06KFQVyc5F6UP/pI\n5amndJo3N0lPl9i+XWLmTIVhwxJwODJo2dLBnj3BjB6tcf68RHS0TEqKxP33m2zZ4iQsDD75RGTI\n/fsbFCoEKSkSzZrpWCwwaZLC1q0y69ZZGDDA4M03FaZM0W64ZogFzpP9Ghoa6haCv5vwNVLgSeRw\n9aAyMjIwDCNb+eyNN8Ts5caNYoF/8kkH0dEqnTo52bhRJTzcdPtTXrok8d57VipWDGbYsACuXJEI\nDDS5cEHm00+tVK8ewtNPB3DokIzdDr/8IkySc4JnOdaFqlUN6tXT+fFHb6KFrsP69QqtW2cG8F69\nNL/G0iDYsq6AOX68lRdecLhHSCpW1Ll2TeLUKTEr+vzzEnv2iB5kkybiHjVokMZPPynYbCYtWqR6\n3T+HAyZOtDFiRKYYsSTB0087+fprce6aBgMHBjB4sJPWrbPfi6ZNdQ4fVrKZasuyGH/xJRYPf+08\npL/3zbqhy02t6GaEFnz9Pikp6d+A+U+AK7NKT0/HNM3b5nBxM2MqOc1zeh4vLk7ONWDu2SP7ZEI2\namRSv77B55+LbDUjw2T3bolatZJ8ZtMDB+p8/73vR2HOHBFoS5cW1kpZERQkepRr1sicOSNsw4YP\n129kETrvvQfduqVRurSFsLAwWrVyEhWl0KOHkOgrVcokNBS2bpXInx+mTHGSnAyDB6v06qVjt4uB\n8k2bFNavF73MJ54IYvr0AGbMkDl2TKJrVwtvv62xcaPMihV2kpOT/ZaY/yr460G5Nmqe5bPExDS2\nblUpV07n4EGF4GAxUL9xo0r79jrLlolrql9fZ/p0Cw8/HERCgsT69Wl88omdmjUNPvjAwccf21m1\nKp39+1OoVMmgc+dAXnjBRrlyOsHBOZ/vzp2+7bxefNHJl19aveyuYmNlSpQQrGsXIiM1Dh9W/Jov\nN2ki/C137pTZtUth8ODMHuSxYwqBgUKoYdKkDI4ckbl2TaZMGZMDBwKw2WzUqmUjOVmmYUMtW/lx\nxgyDcuU06tTx3oQ8+qiTnTtVzp6V+OwzKwEBImv2BZtNmFuvX5/9mRfuKn8v95KbzQ5zUyvy1VrI\nKYh6rmGpqan/Bsx/ApKTk92jBC5LmtuBvATMvMxzeh4vPl6mVi3/fa/z5yEjA8qV8/37MWM0Pv9c\n4epV2LrVSYUKTgoWVHxm0z16GOzYIXP+vPcxTBOmTlV46imdLl0cLF3qm8LdoYPBypUyU6Yo9O+v\nky+f6MvWr5/C9u0WRoxQ3BuD5s2d7N6tsGuXjNUKo0bppKbClCliAercWfRkd+yQmDZNoUoVoaOb\nkAAPPGDSsKEwI/7mm2RiYpzMm+fk8GGJDz5QyJfPYPjwYEJCwnPV1b3ds7O3AteiJUmS185/yRJR\nqk5JEeevqianTjmpXt1JYKCT1asVkpIkPvrIxg8/WFi1Kp2JE+2UL28SG5tdsKBAAWEuvWNHGgcO\nKFy4IHPxYk6EJ6G7mjXDBHj4YZ3ChU0vFunatapXdgki4HTs6GTxYt8bFpsNmjXTePddG0OHOt3m\n6CdPSly8KJGWBmXLGjRoYLB8uWBId+/udNtsnTghYRhQu7bhVX602YL54osQXn45zb1BdWVOqmqn\ne3c7EyZYmDzZwuTJGX6VkEBIOvoi+LRoobN1q+9Z0r8St2Pj76qK+Got+FIrcvlRen6X/i3J/kMQ\nFhbmzjput7Sav+Nl1Z119SlzgqYJS6+cTKNjY0V26e87UrasSbduTqZMCWHrVpWICMmvi0pwMHTr\nZvDjj97nFRsrkZIiERFh0rmzk5UrfRvptm8vPDK//15h6FCHuy977ZoQyy5aNPM9w8OhZk2dkSMV\nBgww2LBBZuxYjdWrZS5fFkSixo3FWMmyZTIpKWLcxGoVPafDh2UaNtSZNk1InrVrp1G2rMarr6Zi\ns0lcvCjz3Xd/j6zyViBJEhMninLspUsyJUuaNGumExUVSKdODjZtksifXwdMihRxsmpVAhUrOtzP\nX04M2aJFTR580KBBAwetWgX71EwFOH5cIjAQSpf2/fy98IKDSZMyCTTr1qk+y5o9e2osXOh/Tq5h\nQ42YGIUhQzIjz6uv2rBaRUBt314E4fnzVQoVMujbV2PLFvHZujRrz5zxfmaXL7dQrJhJ06Z4SdS5\nMqfevdOYOdPK668nUahQWo4Sda1bC5/OrOIehQqZlCtnEBvr25zgryjJ3qn3zU2tyDXOkpaWxrJl\ny3jvvfe4fPkyjr/bbuI24Z4KmHdCys7f8VxjIrfij3n8uErx4iY5bdJiYiS3xmxWuIL0sGFJzJkT\nRHS0zU348YdBg3R++CFTbB3gu+8UnnhC6JGWL29SrJjB1q3Zz79oUeE28uCDGgUKJN2QVQtj2jQr\nNWuabNjg/ZgVL26gaRJvvKGxZo1Mjx4GQUEwdKhYDIcP1zl1SqJNG4Nff5VQVVH6vXJFlHmtVpg6\nNYA//kgjOTmJl15ysHBhMDExIlN55RX/mp95wV+Zff72m8SZMzKyDKVKGRQtavDIIzrr1lnp1g0W\nLQrm4kUhlffpp+moamY/NC0tjZgYmVq17H5JHHv3Krz+ejKvvmqnS5dAn/6UO3eqPsuxLnTooPHH\nHxJ79shcuiRx6pTsUzWoSROdc+ckTpzwTaw6e1ZBknALu6emiuAbGiqkEmWZG2NLMkOGCIcSu12M\nUi1erNK8ucbWrZnyjKYJn39u5cUXHX4l6vbuDSIgAMqVs+QqUlG8uEHJkkLfNisiIjQ2bfp7lWXv\nFjxHrVyVnMDAQEqUKIGu68TGxtK3b19KlixJ165dmThxot9j9e/fn+LFi5MvXz4qVarEtGnTfL7u\nhx9+QFVVd9ITFhbGli1b7tQl+sU9FTBdcC2Id0b/VZQjExISMAzjlvwxDxyw5ErKEBmm9/l7isNb\nrVYqVQqha9cM4uNln24mnqhf30RVRSkUxOK1ZIlMv36Z59G5s4MlS7wXCVH2spOUZFK4sOHuy27c\nKJMvn8ljj2UVY5fYu1dB16FQIWjYUKj99O5tsHu3zNq1EpGRJooCs2crfP21i3kpSrUbNshs2qRQ\nsaLG++8HMGlSQbZvD+D0acEMnjvXiaZB797/P7PML74QvpeGAUlJMufPy1gsJlWq6Og6LF6sUrSo\nyfPPO7Favfuh164FYLdLlCrl9MmEvHDBJDFRolw5nX79nAwf7qBLlyCuXPF+Nnfs8N2/dEFR4Omn\nHUyZYmX9eoXmzTV8tYpVVXhZLl2anVCXng4LFqhUrJgpBDBpkuiNduig07ixzvbtKkuXioDYt6+G\nJAkyzuTJVlQVBg1yoqoiIwZBVEpOltwOJllx8aLEhAlWnn7awbx5Vr8SdZ7qOk2bZrBmjWipHD1q\nsnChwoQJVlJSJJ8s2n9ahpmX93W1t+rVq8e7775LhQoVOHjwINu2baNv374EBgb6/fvXX3+dkydP\nkpCQwPLly3njjTeIj4/3+dpHHnmEpKQkkpOTSUpKomnTpnfqsvzingqYnjvOOwHXcLzdbic0NJSQ\nkJBb6pPGxqqoquGTvg9iMY2Lk6hTR/Q4PWc5wZtM9MgjTkyTXDMuSYJ+/QxmzRKL17JlMg0aGLgs\n6iRJonNnB8uXZxo6uzLZjRt18ueH/futSJK43mnTFAYPFu4Qa9Zk/k1UlIWQEJFVHDwo8eijBvPn\ny3TpolOkiMmIESq//CLduA6Tfv0M2rQxuHZNonx5g4sXJerXt3PokIXvvgvANCUqVDCpUcNk9GiV\nd95ReeABMUazcKH/e/936GFmhd2Om4Hapo3G/feLEaHYWJX27TU6dQqkSBGT69elbONEou9tpW5d\ng8BA30zIHTt0atWyI8siADz5ZDrduzsYMCDASwXHH+HHE337CrbuihWqe2TDF3r21FiyJHvAXLDA\nQp06Bl27aqxeLXqUX3xhpVgx0Yd9/nkHBw/KTJ5spXRpgwMHZBISoHlzjRUrVDIyBHO6SROdzZtF\n4PriCyvDhjn89iXffNPGgAFOnnvOSVSUdxXCn0Rd69YmixcH0LZtGB07BrNggcy1axoZGTrHjslc\nv/73FO3/K5GUlER4eDhly5alV69ePPvss35fW6VKFQICRHvFFfRPeDrX/81wTwVMT9zOBdN1nJSU\nlNvCzoyPVzl8WKFsWSvvvquQmur9+2PHBKO0UKHMEYqMjAyfmrO//mqhWjWDL7/MvXz0+OM6S5fK\npKfDrFkK/fp5mxKXL69ToIDJjh24y81Wq5X588N49llBzhEjKBAdLbLG8uWF08S+fRKmCZ9+GsjL\nL2fQrp3IPDt3Nti2Teahh0wuXpQoWdKkQweVZ5/VOHNGIjUVpk51YrfD8eMyigIHD9owTVEmbtLE\nYNgwnQULhMZtz546ly+LMu7TT6tcvHjLH8Ndx4oVKg6HhCyLvnLFiqIcGxWlsm2bsDXr1ctJ4cK+\nZe/27vXuX2ZlQv78cxD162e+3ul0Mnz4dQICNF5/XcHhcHDunMH165JPP0tPhIdDz55ONm1SiYz0\no+CPIAldvy5z9Gjm8yfIZBaGDnXQtq0ImGvXyqSmwvPP20lJkThwQMHhEEL74eEm48dbeeihEJYs\nUbl6VXiDhoQIu7DNm4XWcGyszOOPZyehgJhP3bpVYeRIB4UKmTRooPs1s3bh1CmZCRMCOHVKZuhQ\njV9+SWPuXAdjxjj57LN06tVzsmWL6SUM4LLCu9tB9O+U2aanpxPkYnHlAc899xzBwcFUrlyZEiVK\n0L59e5+vi4+Pp0iRIlSqVIkxY8bckhjIn8W/AfNPIKucXlhYWK7szNyg63D8uMLy5anExDg4cUKi\nRg0r27dnHjM2VqJOHd09yxkQEEBYWJjPIL1jh4VnnnHw3XfZB9izomRJqFPH5IcfZOLihKVW1uvt\n1MnJvHmau9ycnh7A6tUyffrobvPoGTMUunUz3D1YV3DctUvi+nWJjh2dN2yeZEJDhdrPypVifEWS\nhPnxa6+JvuZnn4FpJtG+vR1dhwcfNDh/XuL++zXq1zf43//EQhwUBP366Vy5IrFrl1B3sdthyBA1\nV63Zv2puLis++0yUY/v0cbBunYrdDoUKGYSGmly5IpOQIFGggFjsfcEXQzbr712ZqYvEERoazLRp\ndtautbFypYVt20zq1rWTkZG7MkzjxhoOBxQo4P8GyzI3GNaZmop79sgkJUm0bKlTrZroS77wQgAB\nAXDwoILdLgyhIyJEGXbDhnR++imdn39OISlJfFb584v3bN5cGE//739WBg1y4ln9y5y7Ftnlf/9r\nd/dLe/Z0smCBf0LS6tUKERFBtG0rhNiDgkQp2lMYoHlzk127grNp5nr2lO9F82hXtp5XTJ48mZSU\nFLZt20b37t2xeepv3kCzZs04ePAgly9fZtGiRcyZM4fx48f/6fO/WdxTATOvAuy5wZec3u0aUTl6\nVKJIEYOwMIMyZWDGDI3JkzUee8zC1KniC7l7t0HVqqJe6xJJ97XoZ2TAgQMqHTs66dDBcI9u5IR+\n/XS++kqhUyfDa/FxiT20bZtCVFQgwcGi3Dx3rkzr1kIRpkMH0Y/84QdBFnLB5VQyZYrCk0+KkmCZ\nMiZ790p06qSye7fMK6+o7N4tsXmzTJ06JmPHyjRt6mTWLIXAwECeeUamcGGT48dlVBUuX1Y4dEhm\n1y6ZU6fE+wwdavDDDwrFisG4cRqmKchRM2f6/mz+TgvYL7/IHDwoPp9mzQxq1dKJiVE4cEDhjz9g\nyBAHFSsaHDvm28dS12HfPoU6dXwHTF0X7iNZfy9JEgUKyEydmsGoUSFs3x5E48a45dX8KcMYhsGR\nI2L+0p+ijwtdu9pZtszm3rhMn25l8GBROpUkMU964YJMly5Cg/axx5wsWpTOhQvis542zUKfPgE8\n/HAwMTEKigLr16ssXKhSooRJgQIGc+ZYePJJ3+rqUVEK169L9OmTmQl36KCxc6e4t1nx/fcWXngh\ngPnz03nxRSctWvgm+DRtKuT5PDN5FwHGk5mbk3n07cJfKZiQ9Txu5Xsl2kePcPbsWaZMmZLt9/ff\nfz/33XcfIIyk33rrLRYuXPinz/dmcU8FTE/casB0KQSlp6cTHBzsV5v0VhEfL1GjhveOvk0bg+ho\nB599pvDRRxp798o0bGjJVfM2JkaiYkWdkBCTkSN1pkxR/PZFXejc2eDECYlWrcTC6mL7pqWlIUkS\n9esHExAAe/eKL+esWQoDBojXNm5s8ssv4j54EpIaNzb59VeJqCiZxo11Bg4MIjJS9KsefNBkzhwn\nsixIGaYJV66YfP65SkCAwcmTCna7lYgIE8MQ5crwcKFic+qURGSkwXfficXM1ctcuFBm8GCDkBBI\nTpYYNcpbNg8yP3+73U5KSoqX1ubtJITlFRMniuyyRg2dFStUmjUTxuC7dyt8/nkGW7aodOsmZlh9\nZZi//ipTpIiJP/P5X36RKVrUdGdmWdGggUH//k4WL7bQsKHhU14tawBYt06md+80pk5Vc5T6q1NH\nIz1djARdvw6rVqn07ZsZvA4fFs/w+vUq999v8N57DgxD/NzphHXrFLp103j3XTv33y8+15o1dV59\n1cbGjQpFipjcf392PVkQI1pvvWXjnXfseE5zhYaKOdCsZdnvvrMwcaKV1avT3Nl4RITOxo3ZNwW1\naxucOiVz7Vrmz1yBK7dxjD/je/l3gr9A/WfkQvPaw/wr7tU9FTD/TIaZFzm72xUwa9b0DpiGYVC0\naAoLFlxjxowgDhxQqVs3949u2zaZRx4Ru+6KFU0aNDD48cec/+7CBSHyffq05CUK7wrOsizRtatw\nMDl2TOLcOck9smK1QpEiJg89ZHrNh1qtULy4SeHCJt27B1OzpsaRIw5GjtS5elUYWkdEGOTLZ1Kh\ngoaqmoSECJFwSYKnnhJZxWOP6dSoIUS5AwPFezidMGOG4iatDB2qM326gtUKzz0nSmlpafDqq94Z\ngq7rbkmwwMBAr4wKcI8Z3I2SWlqa5J5XnDQpneholYAAcW2lSpm0b6+zerVKRITG1au++4t5Kcd6\n6sf6WtCGDXOQnAynTvleAD0DgNMZzJEjFl54wcn58zJxcaZf6zNJgi5d7CxerDJ/voWWLTUKFRL3\n8tIlyT0Pmi+fyYsvCqWnVq0C0XUhodemjU6vXhrr16tUr27QsqXGoUMK332XwVNPBXDsmEzWKp5r\nIZ8/X6VAAdMnc7ZrV40lSzK/w0uXqowda2Xp0jQqVMj8rKtWNUhJgTNnvO+LxSKy4x078sZXyM33\n8lbt4/7KIOtrnC6vuHLlCvPmzSM1NRXDMFizZg1z584lMjIy22ujoqK4fPkyAL/++itjxoyha9eu\nf+7kbwH3VMD0xJ2Qs7s9AVOmevVM9qurRyrLMpUrh/Lpp6LUmHW20Re2b5d55JHML9yLL+pMmqSQ\nUyVo4UKFyEiduXMlL1F4z0y2WzeDpUtFObZnT909UuBwiLm5rFlsWppQcLlyRWLjxhRefDGD4GBR\nql23TsZuNzh61MRiMenfX6dxYxg/XuPsWeGwsnKlwpNPqnTtanD+vFAIysiQuHwZfvpJzI7WqWOh\nZk0LX32lEB8vsW6dxJAhYhSjVCmTWbMUDh+W3Blzeno6siwTFhaGoiheGZUsywQEBGTLqO6UmfTk\nyUHoumAOHzqk0rSpGPhPTxcuG1FRKrVq6Zw6JVO7to4v3YvcLL1iYnL+PQgR9CpVDN5+20ZCQs7n\nvGWLSv36OvnyqQwerDFzZkg2z0ZXKdfpdNKxYxqLF6vMnKkyYEDmUPubb1qRZQgMNDl3TqZRI43I\nyCDOnZOpVMng0Uc1Nm5USEyENWuEPnLbthrlyhlYraK0mpoqceSInE15R9Ng3Dgb//2vw6fAR9u2\nGrt2iWPv3i0zYoSNBQvSKVfO+3OVJDFTumWLr7Ksztat4ue3Ik+Xk2XXzbqN/B00bF0b0Lz+3ZQp\nUyhdujQFChRg1KhRTJo0iQ4dOnD27FnCwsL4/fffAdiwYQPVq1cnNDSUjh070rNnT15//fU7cj05\n4d+AmQNcYyK+fCJv5Xi5wTCES0WtWsLbzrNH6hIQP3dOolUrg2HDVA4c8P8F0TRhLv3ww5lfrsaN\nTcLDYdUq/z29+fPhiScSSUyUOXMm3J1Fe15frVomTqfEjBky3bsb7NwpsWCBzIcfKpQrZ7Jnj2Da\ngpi3i4iwuIW1Pe2oSpUyKV7c4MMPheBAaKhEuXIKq1crDBxo0K+fcEjRNLh0CV5+WcVqNalSxSQ8\nXGQuGRnC/is8HGbN0njxRZ3KlU1697YwerRKkyZiFKVIERg0SCExMRFd1933MyfBas+MKjcz6Vt1\nfDBN+OYbIezap4+DuXMttGihERcnAxI9ejiZP1/l0Ued7Nnju38JN59h+sLOnUJAvX17IVmXEzZu\nVGjZUpRVBwxwsmyZhaQk3wFAURRq1hQSiJcuSdStKzSNr1xxsGCBKEU3aqSRP7/JwIGBdO2qce2a\nRO/eTiIidLZtU1mwwEKTJhq7dytEROg0by76ileuSJQsaaCqJnv2eAe0BQtslChhuEXqsyI0FBo1\n0lmwwMKgQYFMnpzh3qxmRfPmOtHR2TPJRo00tm3zft8/E7jy4jbiSygd/ppMM2tJ9maE1wsVKkR0\ndDR//PEHCQkJ7N+/n8GDBwNQunRpkpKSKHXDj3D8+PFcvHiR5ORkjh8/zttvv31LzlJ/FvdUwMxr\nSdY1X5iamur2UMxtTOR2BMyTJ0V/Ligozb2oZ7Uci4sTJJuJEzUefdSSrTfnwv79EqVLm14MRkkS\nWeZnn2UXH3A4HMTHp3Dlikzr1kE89pjBnDm+H0hB1DC4fFmie3cLI0aoLFkipPFOnhQan++/L8qk\njz+ucu0avPeediOYivKT6x5HRGQwdWooH3xg0L+/wZYtMoGBYgxl1CidxESJgABRXq5ZU8xjXrli\nkpws+p2mKTYax49LhIebtGtn8M03GuHhQtotNlYYUj/yiJ2ff5bZtSv0lmzcss7pZc0GciLH5PRc\nzJ+vujVj+/d3cvCgwpw5FgICxMyhJMG2bSqdOmns2eO7f5mcLMYvqlXzvdgnJcGZMzJVq+ZMMtm9\nW+Hhh3XeftvOihUq+/f721gJ/8uWLcW5FC1q0ry5xvz52VmnmfdNkLHKlTMJDRX90ClTAtB1ofx0\n7ZrJpUsSjRs7qFlT9DAffVSjYEGT8uUNvv1WpUEDnRIljBvvp7N2rcqWLSpOp+hVL16c+Zk6HCYT\nJwYxenTOEm3t2zv54AMrffoI5rY/uMZXsn6UtWoZnD4t+yQP3S7kRSgd8EkquttB9J/shQn3WMCE\nnOXx/oyc3Z+FaZrs2uWkalUHiqIgy7JPy7G9e0XP79FHDSIjDYYP9x3It2+XadTIzHad3boZnDol\nsW+fuCZX4EpPT2ft2lC6djWxWGT69jWYN09xa8dmPY4kCTWePXsc7NzpZNo0jfR0+PlnB716GcyY\noVCxopXEREhKkujd26BtW4M1a1T37KjVaqVgQSsZGRAZadKnj86iRTJt2wq2bYUKYs7yoYeEys/K\nlQqlSpmcOiUTFGRSvryJxSL6vm3aZIouVK1qUrKkSePGBv/7XxrJybB6tZVmzQyeey7gdn1kfrOB\nmynlvveeKF+VKmWyYYOFKlV0Ll6UCQszad9eo3v3IOrX1wgKEixXX1lkfLxC1aqiROkLcXEK1asL\nezR/0DTX2IkQoRg92sFrr9myBQgQ8n0OB1691MGDnUyfbvH5elGeFUH9zBmROeu6ypdfBmKxCCuw\nQ4eshIaatG9v59tvLeTLZ1CgQAoZGRnUru3g5EmFjAxo1kxcf8OGOgcOCFLQiBFO+vTytDV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24//yzO99o13ASkM2ck6tSxAiLLnDHDRkaGxIABBj/9pNCihTBaDg11kZtEnxWgRQuDI0dEj7hh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\nQvpNAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109e0e890>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8,6))\n",
"\n",
"ax = fig.add_subplot(1, 1, 1, projection='3d')\n",
"\n",
"p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Coutour plots with projections"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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tZs8eN88/v4uGhoaE7+HesbXguS7qvvcAT8y4mU/fVYbFPDq2QbyAxg/mfv81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\nP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C7kchlarYFkMrn1mwdzXwZDLQ0NrTvyT319B3jvvZdoa+tBpdKSyaSw26d55JHH8fu9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DaOt+j+3Dn8sQLMg4r7OtnH3qOdpffJPYiQZcNZW4ZlRgK8hDdtoRSZ1kNIba7ife2EzsZAPW\nPB+eJfPwLJ1P3jWXkzOvJsNuTgQ7SO7dQvLAduSKSiyXX49cary/0JOIjkZE5xm0nGJUXyluj0Hs\nCUbhVDvkumFagdFbBkgmYcMBmVkVOlOz3JuJDHMsZjifSyEEL730Ej/84Q95/PHHWbhw4Rgc6QWN\nSZbsYBgrQ2foKb/KskwoFMrou423Ck56VnkhMQqHArMPapJSzHk8SZJIJpOUf/MB9l52O11nmnEU\n5fclr1jtkNT6vK5IRJFzS/t8PxiF4n6EnHYdl6gqE6MSLAGmFApe2ykTCkeR6MtmznNDR6hvwJQc\nLiRvAaLlOJTPzngWLVXzYM1tqH98HEvt1ViWXIlky2SROypKmPnVzzPzq59HC4aIHqsnduoMmj+I\nrqhIFhnZ5cReXICjrBhXzQysXmOTmi5qnvC3kzh5EMvJg0j+VqQ5S7B+7G+Q84uNz6qeRPibjGDp\n8hErnoXVlYPH6URNSjS0G3OxlUVGwDTR3gX/+66FHKdg+ey+101RdNo6FKaUT6zxmHMdi1FVlW99\n61s0Njby6quvDksoZRKZmAyYaRirgJk+KuLxeDKGlXuXDcdSRi6d8HIxZZW9ke4D2Lu/5Xa7cZQW\noncESOb3lOktFgsWXUPyt0J+pn+jUGKgxMCVuRBFExBTjcDUG11R2HJY5lNrRq9v5LGrFHkFhxod\nLJ/b9xkqyOlRJ8rvVVSRymrQT+2BluNQWp0ZNGddilw8BW3jCyhPfhfLvMuQZy9GKpnS5z2suV58\nSxfgWzq4jZeIRxFN9UiNx5EbjmELtBtEnsVXok+fhSYgkUwi+duxRzuxhDvAnYtWOgtFMvp1ssVG\nU8AY5yn2GsHSzCp1HbYfldh8SObqBTpLqnt0dE00tcT59g+Ps2BuDvffPWPoF3uU0bsEO9RNbHNz\nM/fccw8f/OAH+dd//deLavM7HpgsydLjiXkuUnXDwVB7leMhI5c+p+ZyuS7KD9ZQhBaU1g62Lv0w\nq46uw+I0VHRSjMMd66G5HmXNRzPvRcsxJLsLuaQyn2GIFQAAIABJREFU7b2grsmQyOvNkNWS8Mzb\nFmrKdVbNG/mPWHomElI8/H6TnbuvS5KXpdMQihsiC3PK6GNDJpIaeuNB0HXkitkZYyYm9I4W9APb\n0I/vRyTiyOXTkYoqkPIKkXJywekGmwNJlo3NqKZCIo6IhSHShQh2Ivxt6O1NEI8ilU1DrpiJPH0W\nUnllqlcs9CQi1IEItEAshO4tQs0pQsX4uSRb6FIctIWteJ0wtUDCmZa5twbg5fcsWC1wy7Ik+Vmk\nC7ftCvBvj53kztsq+PBNJRNms3guykRCCDZu3MjXv/51fvSjH7Fy5coxONKLCpNKP/0hPTgNR6pu\nODgfAYL+7LRGYv4wY4xiEA/ACxnpQgsD6Woe+sI3sOZ6mfW9/5PxfdHVifKb/8B2x/1IBaU92p9d\n7dj8jcTL5mK1O1L342xAIpyQmFOWqfSj6/D8VuNe3XaF3ifDOV+kS6I5nU5kWWbbEYndJ2TuWpPM\n6s3ZGYH6dmNuNNeV+TMhBKLzLKK9HimnEKlwCpIzu7uOCAXQm08j2psQwQ5EOAiJuMEg1nVDW9Zi\nBbsTye0Bjw/JV4CUV2T0hHMLMkZ2hJpARPyIUAdEAuDyIeWVIHmL0JLG/bRYHQTiNlpDEm6bTqE7\ngU1SU58PTbew9Yid/fUWrlmos7iqb1YphOAPL7bw7EvNfP2L1cyfOzFsx9I/m8MpwSaTSX74wx/y\n7rvv8utf/5ri4uLB/2gSvTEZMPtDum5jKBQiLy9v8D8aIkbDVaQ/14PhzB8CKcm3izmrhJ4d+mD2\nTY0/+w1nnniWpW8+neqpgUGCUX/3E+T5y7DWXt3z/XgYvX4f0rT56HZ36n74oxJtUSdVBXGc9p4N\njRASL26XCcfhY6sHdiwBQz/2RH2UoyejNJ6NE0/oOB0yU8udzJuTw/QpPeeSTtLqvfERAt7aK3Oi\nWeLjVyXxuvq+V1fM0MAt7HZcsfR6FERSNQKnvwksNiRfEZInH1w5A4oGDBVC6JCIImIhiIUQ0SAk\nVSRPHuQUInkLkCy27lGKOKG4IKw6CcZl8t2GmpLLbr6WQNWS7Dsp8c4hG9OKVFbOjuJ1y314Akld\n8JMn6zl4OMy3/u+sIWvzjjbOVRy+s7OT+++/n6VLl/Lwww9PaFb7BMdkwOwP6U4BwWCQ/PzhS2/1\nRrr4wGgLEAymw9qbuJJesruYs8p0t4aBROGFrnPqez+n+bcvsvjFX+Ca0cOAFbEI6vO/RC6bjuWa\nD/dcw3gE/fQ+5LJqJF/PDr4jDA2dgppiHbulZ0OjqDqv7/OR1CU+coWG09F/X7q5NcHLb7SxbmM7\nTruFubM8TKtw4nZZiMV1Tp+JsfdgCLtN5qa1Rdy0phBZMvSQ+1tchYAtdRI7jsl8aEWS6VmSDjUJ\npzuMMm15nkEG6hM4hYBoEBHqRET8Ru/W4TbKtXYXWB1IVpuRSUqWtPRaGPOdySQiqYKmgKYglLjx\nGmrcKN26vODyIrlywenJCPrheJK2oEaXYsMiSxR7JQpzDM3e9PM81iSxfp+M3QbXLUpSXpDdFQRk\nfvxEE12hJN/4Sg3enIkhCWfOEA9Xn3nnzp18+ctf5tvf/jY33HDDRfmZHkNMBsz+kG567Pf7h2Qi\nPRDG26sy3TYoXbDZpOhrmpZyMXi/Z5Wxk43U/e23EEmN+b9+BEdpz4yB3t6M9sKvkGsWYll9S8/i\nHQmgNx5CKqtGzi1J/X5rl0GimV0G7jTiaDgGv39HJi9H5/pLYyCSWfvSpxri/Pa5s+zaH+LaKwu5\naU0RM6dnYQxh3ONDRyP86c/NbN8d5Jbrivj4h6aQ4xm4bHfsrMRL78ksmCG4cr6e1S0lkjDOIxw3\niEGFHvA4+orIg9HnJBFBJKKgxI0gmFSMuQ09Sc8SIoFsAdlijKpY7UaAtDnB7gS7u48dmJqEUAyC\nMUEwCqCT54Yir4zHIfUpdR85axB6kjpcvUBnVkXf8mvP7+s88pMT+IMqX31gKrKk9zHaHmvhkHP1\nrtR1nSeffJLnnnuOp556imnTpo3ykb4vMBkw+0N6VtbZ2XnOAXOiCxCYxs4mG3gshMzHGkOl3qv+\nLhoefYqzv/oD0x78NNP/9lM9BBMh0PdtRdv8CtYr/8LQlu3+vvA3IdrqMwTXhYCGTghEjWCZTjY5\n0wHPbbGwaKbO6nk9C3h6X7qlLc7Tzzaz92CUD99UxAeuK8bndQz4/KRnz8GQzG+fb+G93UE+eXsF\nt1xXgsXS/72MxGHdbpnTbRJXzddZUCn6ZJJgzI92hI0eZ1I3VIu8TiN4umzZA+i5QAgjOMZUiCoG\nuziSAE2HHIfAaVFwW1XyvC6sverY0YTh87njmIzHCSvm6Mye0n+gNPE/f2pi0zY/j3xjDk6HZdzd\nctKZ28MpwYbDYb74xS9SUlLCI488MmpGEe9DTAbM/pDuien3+8nNzR125jXeWeVAMEs8ptKH3M1Y\nvFANnftD+nn25wEYPV7PmSd+T/NvXqT4lmuo/If7cE4tS/1c72hGe/OPoCpYb7wTudCYrRSait50\nBNQ48tR5SHajEahoRu9PkqC6uEdkXQjYeVxi4wGZD1ymZ3UkUVSdP7zYzB9eauED1xZxx1+UYreJ\njAU7mw+ieZ69s+cT9VF+/lQDHX6Fz//VdJYtHpi81tgO6/fLBCISy2bpLKwUqT5gb8RVo88ZihtB\nLaGB0woOG9itRlnUKhslXIvcvdqkNgegCyMLTOpGIFSTxrVTNOO1ZMnoQbrsRnae4wCrpBGL9T1P\nRYPjTRIHT0ucapWYVSFYWqMzpTD7sfdGV0jj7gf38rNH5g/Ys+wdQEfS3Dkd/d3PwVBXV8ff/M3f\n8KUvfYk77rhjQq05FwEmA2Z/SA+YgUAAr9c75Gb5RM4q07OtwUo8o8nEHW0Mdp6x+rN0vLqB1j+8\nSvT4aco/8UGm3PMxnNN6VHlEKID27jr0Y3uxXn498qJVqVEI0dWGaDmBlFuCVFyZKh36I4aXZInX\nIMqYtz2uwMvvyXSGDZWdgiyky32HQvzH46eoKHNw/93TKS/NHJLvr6xuVgccDkfW/pYQgq07gzz+\n9GnKSxz89SenUTUje1nXxJkO2H5E5nizxMxSwdxpgupBBBWSuqFUlOgOeGrSGJdJdgdGIXoWD1ky\nro1FBotkbCps3f8cVrDbjGCbfg4mO9ToPdtoC0J9q8TJFonTbRIVhYJ50wRzpwqcw0yqdu3v4snf\nNvLod+YN6+/6+4ycaxn3XEuwQgieffZZfv7zn/OrX/2KOXPmDP5HkxguJgNmf0g3kQ4GgykB76H8\n3UT0qoSh9/D6Q3qJ6nyYuCON0J46HOXF2IoLUtlWytzZbkdr9xM72Uh4/xHCuw8R2LwTrStM4fWr\nKP7QdRRcuxLZ3rMw6Z0tJHdsQD+6B8uCy7EsvzblyCHiYfTm45DUkMtnIbmNgUotCac7jR7fzGKj\nTGmivhVe2GZhVoXg2kV9mbCRaJInftPA1h0B7r97OquWD638b46LACnfw4GqAqqm89Lrbfz2ubPU\nXprLXbdXDKpcE0tAXaPE4TMSje0SJXkwrUgwpVBQli/wukauDNsfEqpOU1uczrCFYMxJc0CiyS/h\nssP0YkFlqaCqrP9MeCjoCms8+PBB5s/2cvPaImZVe7Dbhr8ZHKiMO5hDixCCaDSa8pMd6mY0kUjw\nta99jWg0ymOPPYbbPfBm6HxRX1/P/fffz5YtW3A6ndx+++386Ec/mrCb5xHEZMDsD+kBs6ura0jZ\n2ETNKk1NXNP8eqScV3o7vw/GxB0tHPjsV+l8cyt6LI61IBfJbjB89UgMNdCF1ZeDq3Iqnnk1eBfN\nJfeKJXguqc4glAhVQT++n+SBbYj2JiwLr8CyeDWS25gvFIkYor0eEfYjFc9Ayi/vzuy6WbB+Q8R7\nan4Pi1TVYMN+mQOnJT6wTKemvO9HZ9f+Lv79ZydZssDHvZ+aNihBBwbW9B1KxhOLC57/cyt/eqWF\nJQt9fPQvyphdNbhWsqpBY4dEQ5tEUyc0ByS0JBR4Ic8j8LnB6xS4neC0g9MmsFmN7NEiG1mlcYw9\nZVhNg4QmoagQU4x/kbhEOAZdMYlgRBBNSOS6BcW5UJInKM2DigJBTpZRmPNBsEvlxdfbeGebn8az\ncYoL7ZQU2ynIs+HzWsnxWHE7ZVwuCy6njMNhwWmXcThkHHYZp8P42umQcTktqZ5x+mfEHP3qHUDN\nYGm2SIb6mWloaODee+/lk5/8JPfcc8+YrDm33HILJSUlPP744/j9fq677jruvfdeHnjggVF/73HG\nZMDsD+kBMxQKpRam/n73Ys0qh4tsPZ7z9T8cCpLJJKGOTnR/F3bZgixLWDxubPm5yI5+7ls8il5/\nBP34PvRTdUhl07HMW4ZccymSaZwcCyM6GhCRAFJBBVLBlJT4eDhuZJUImFFkEF9MNLTDS9stlOYJ\nbqzV+4gDKIrOE79tZOPWTr54byXLlwxtzneoYgupcxwg41FUidfW+3nhtXYK8mzcuKaIq1YU4M0Z\n+oYqmgB/GPxhia6oEewiCaMEnVAlFK27LNtdkgUjI5W7y7BWCzhsAofVCLIuB3gcAo9T4LAouO0K\nJflO7Nmou6OIhKLT3JqgpS1BIKgRDKmEI0misSTxuE48kSSe0EkoOomEbnyd0IkruvHzeBKbXcbj\ntpDjtuDNsZLrs1KQZzP+5VspLrBQUmQl19vjqpOuaTzQ50QIweuvv853v/tdfvazn1FbWztm12b+\n/Pn84Ac/4KabbgLgoYceIhQK8dhjj43ZMYwTJgPmQEgkDNNC0/PR4chc9SYyqSfdaWWgecOxOI5s\nu+tzZeKm1GHM/x+iKpEQOgT96K2NiOZ69MYTCH8r8pQq5Kr5yDULkNze7vdIIkLtiM4mUONGkMwv\nTwXKmAJn/Ian5dR8Y7A/vVf59j6ZI2ckbqjVmTu178elvjHGv/zoOBXlTr54byW+IQaoc5FD63sd\n+s4fqlqSvQdjvL2li937w8ybncOKpfnULvQxpfzc3ud8cDFIMgohiMV1orEkobBGKJwk0KUSCKp0\n+FXa2hWa2xKcaYoTiyeZMc1FzQwXl9fmMH+Oa8CNpqZp/Mu//AuHDx/miSeeGJEZ8eHgF7/4BZs2\nbeKxxx6js7OTm266ie985zt88IMfHNPjGAdMBsyBYAbMSCSSkhWDsRUgGC7StVHHKqscDs6Xiau+\n9j+IMyeQCkoRvnw0mxOcbuzu7oF2IUBNIBIxiIQR4SAi2I4ItIPDhVw6Fal0OvKUmUhlM3oySaFD\nJGiQebraweVFzi8Db2FKtSaSgKagMQdYlgelXsPw2fh7wzrrzT0yNRWCNZfqWXtqr61v5xdPN/DZ\nO6dy09qiIWuAnosjxVCR7gbSFUqwY2+I3fuj7K2LkEzC3BoPs2Z6mDndxdQKF+WlDhz20QliiqL0\nsRy7GJEuV6glbZxqiHP0ZITSYgerl+f32Wju37+fr3zlK9TW1rJ3715uvPFGvvWtb43LZqKuro67\n7rqLPXv2oOs6n/70p3nyySfH/DjGAZMBcyCYrhSmI4DL5ZrwWaVZrhvPrHI4GKzn1puJK3Qd0dmC\n2noWrbMVqxJH1hRIqsaTKclgtyPZneD2IuX4kHILkfJLkBy9WKfduqSE/YiwH+wuQ94ttwTJ5ug+\nPvBHDQGCuGrIrRV7M9Vumjrh9d0WtCTcWJvMOsqgqDo/+dVp9h8K8fCXqvsVH+iN9IW1v7GYkYZ5\nT1RVpbk1zuFjEU42JGhsUmlqUWhpV/B6rBQX2inIt5Hns+LzWvHmWPF6rHjcFpxOo49n9PrMHp8F\nh0PGbuv7uUmfIR1KqXmsoevdzN9u9m8yaYzFCGFUF0zGr80Ctu7RmmxzrNCzKXB2m1kPBfF4nN/9\n7nc8//zzhEIhDh8+jNfrZdWqVTz66KNjlmUKIZg5cyb33XcfX/nKVwiHw3zmM59hzpw5fP/73x+T\nYxhHTAbMgWAGTDMIOZ3OCUnqGYrjxoWC3kxcPRFFyNaUiLksy8Tj8dQGZsijPppqqM/Ew4YuaSwE\nugbuPKScfKScglSQBKPs2hGG9rAx5lDiM+yu5LTL2hkyDIdPt0pctUDn0kpBtg2/P6DyTz84SkGe\nnb+/fyZu1+DH3LvUPJ7D5737oIqi4g9qBII6wZAgFNHpCicJh5OEo0ki0STxeJJorKfXp6T1+rSk\nwGGXcXUHVbdLxu2SyPVZKS5yUV7ioHKaizk1HpyO0Q+cWhI6w+APSfjDEIxKhKIQjktEE0afVk0a\ns6XmfKksG//Mx0E3iUxJI6gmVKM/63FCjhN8bkGuR+BzKuS5VKaUOHDYh3Zuuq7z05/+lHXr1vHU\nU09RVlaGEILDhw+zefNmPv3pT4/ZBqOjo4OSkpLUqB3An/70J77+9a+zd+/eMTmGccRkwBwIqqqm\neoGmH6QsyxOqpzJcEsiFhuSZOuhqR1jtJC12dIsNYbEhW+3IVhuyxYIsm8oAerc2qQpJFaEqoCZA\njRmpgMOD5PSA02v0K+3uDF3SmGoo8/gjxgJZ4DGyyd6lVX8YNh8y+pTLZuksny2w90Ogbjgb42vf\nPcL1VxVx10crkOXBNzLnKrI9luhvgH8ovemkLkgkdGLxJMFgnEAwhqJZiUSho1PhbEuCk6ej1DfG\nWLksn3s+OY38vJHRdNV1aAlAQ7tEU6dEc0AiGAGfGwq9gjwPRmBzQ45T4HYYFmeOYaoYCWEEzUgC\nwjGJQFinNaARjFrpDFsJRKCmXPCRlfqArxMMBnnggQeYPXs23/72tydE1aimpobPf/7zfPnLXyYU\nCvHZz34Wj8fD008/Pd6HNtqYDJgDQVGUVKaTSCQmzNwhZI4WXOhZ5WBIJjUSXQFQ4zgkAUkVXVMQ\nSQ2hJ0EIJFlG6tYklax2Q+zbajeyRrvLcNNIuz5CgJI0VGpCMUOxBskwds53G3OUfYyEO+HdwzIn\nWyRqawTLZ+m4BjCyOH0mxkPfPszdH5/CTWsGt1NKrxRcaD28bL1pU+QiW296KLJvobDGr/67kbYO\nhW//39nnfGzhGBw9K3G8SaK+TcLrMmZJKwoFZXmCQh+DusRkP+eerwe6TSZZK/2eqprxzBUO4Bq2\nb98+/u7v/o6HH36YW2+9dcI8C3v37uXBBx9kz549WK1W1q5dy6OPPvp+sAybDJj9Qdd1vvrVr7Js\n2TJWrlyZsvfKNneYTapstI/NzECGU5a8ENARNno/bjtYZYGmDV5qHoyJK8tWEkmJePesXyRhSLkJ\nYQRGr9PQRHVmySIUFQ41Gt6RoRhcVqOzpHpgxRuASFTjb756kDtvK+fGIQbLidzDGy6y2c2ZoxOS\nJKEoCjabbdC+7In6KP/4r0d5+v8tGtb7KyocapDYVy/REpCoKhPMqhDMLBV4BtBq0HWjVx3vLqsq\nmrGxUpM9JVe9W9YvHRJGidYiGwpFNgvYrQILGhZU8nLsuBzWIWWpQgieeeYZ/uu//otf//rXVFVV\nDevcJzFqmAyY/UHXdTZs2MDbb7/Npk2biEajLFmyhFWrVrFq1SoKCw1mR2+psnQB85EOoAMNrF8s\naA5CMApRRaALsFt0HDYZh1VKDcBbpB6ihQDDJUoYEmzJJGi6QFFF2kInYbMIHFaB2w4eh0SOU8Zu\nzZ4ZqBqcaJGoa5A41iQxvViwuMqQhhtqdfRnT50mGk3y5ftmDvq756obeiHBDKCJRCIl9g8DC5kL\nIfj2vx9n5nQXn7pjypDep6MLth+VOXhaYlqxYGGloKZcZM0gdWFsnMLxnk1UQjN61k6b8V+H1SDx\n9NbFNSvrJjHb1MbVugUZFFUnHFNRkzKasBJTjT9YNG3gbDQWi/H3f//3OBwO/uM//iPFzJ/EhMBk\nwBwqEokE27ZtY8OGDbzzzjsEAgEWLVrEqlWrWL16NSUlJYa6TD+D++frbpBMJonFYsDFl1X2hlnC\nkq12hOxATRolLK1bqDupGw9h70F4Wepe1NJ0Se1WsMkCXU9mVAbSmbiybKWtS+J0m8ypFomGdony\nAkOTdO7UgTOS/nDfQ/t54LMzWDC3/5rbcHR9L3SYVRGTrCXL8qB90Of/3M4bGzv48T/Pwz7IGEuz\nH945KNPYLrGkWlBbpePNQkROqBCIGZuycNx4PnK63VY8DiNQDtZmFkIY/XKMXVvvz3O2EqzoDqa2\nAT62x48f5wtf+AL33Xcfn/zkJy/KjdMFjsmAea5QVZUdO3awfv16Nm7cSHt7O/Pnz2fVqlVceeWV\nVFRUpAJo+kI9XOWbizmrTCZh40GZigJDlzTHKYjHBzd3Ph/EEtARgtaAoDUALQGJ1qAFryvJlEKd\nyhKdqjIJt/P8KgPP/OEsr69v56N/UcbltXkUFWT2UC+G4fyhIlsAyYb0Puhzr7Ty4usdfPuhGZSX\nuvoV+28LGu4qZzslVszRWVJlyPGlQ9F6LMkUDXLdkOsyyvC9A5jQ9TQvT8PEWqgJw9w6qRn/ED1p\nohCAZJhjW6zoFhtJ2YrV7cNiGl9bBn6OhRC88MIL/PjHP+bxxx9nwYIFw7i6kxhDTAbMkUIymWTP\nnj28/fbbbNiwgaamJubMmZMKoDNmzOg3gKaXcNMDaHpWOVHZkueDhApbD8uc7TACl5YU5OcICnIk\ng6XoMliKLjvYbcIoi5mUfrMURnfW2V1+VVSjVxlXIJqQulmK0BWVCEaNv8nPgWKfoChXUJYPpXk6\nDmtmH7S3N+hwKwNCCHbvD/Hi663sPRhC1wVlpQ4K8+14cyTcTvB5HeR4bLhcFmNO0Wlok9rtEk6H\nBaepS+oyvh4Kw3YiwcygNU0b8gZI1wX/+bszbNzq57tfm0VRgTXjvoDBGUhoFrYcdnL4jMwVc3WW\n1mQGSiEgGDPmZ8MJg8hVmNOXzGXM4gYgGjRGjZSYMY/rcBtkMbsTyeoAmx0sNpCtGVml6K7H6ppC\nPBxC1lXskkBSYoh4GLlwCpKv/x62qqr84z/+I62trfz85z9PjWpMYkJiMmCOFnRdZ//+/axfv54N\nGzZQX19PTU0Nq1evZtWqVVRXV2d4UPYmrIARMM0ZvIslq+wNk+yiaRqSxU0wZiUYkeiKGXT8qKlL\nqhlC32qye3okbZNvkXvsoexWw9rJYTPGATxOQ6Tb5zJGBdyOoY0HjLQmrj+o0twS52xzmGBII6HI\nxOKCWDxJLKaTUIx5RVOTVFGMr2PxJLG48f9Op0yOxxAI8Hmt5PmsFBbYKS6wUVrsoKLMSUWpY9Dy\n5VjgXAQX4okkP3jsJG0dCv/0f2aR68ssUQsh0JI6u45LbDpkZXa5wrLqGB6XnDbKYqEjItEcNJ6L\n0u75WVNEQAgB8RCiqwMR7jAyR3cekjvXcJ5xeDKkF4cCswc9XLZ6U1MT99xzDx/5yEe4//77L7oN\n8UWIyYA5VtB1ncOHD/P222+zfv16Tpw4wYwZM1i9ejWrV69mzpw5yLLMrl27sFgsVFZWIstyH+m4\n4WqvTmQMxdx5ouB8NXHPVwc2qQtisSShiKFN2hXSenRJOxSaWxOcbUnQ2pagpMhBzUw3c2o8LJzr\npXqmG8sYZafpLYSBtH17o6UtwT/92zGmT3Xy5c/PzBr0W4Pw8nYLsgw31SYpyeu5L4qq0RGWaY/a\ncNl0SrxJfC45dV+EEkcEmhHBViND9BYheQuNkmk60UhTEe1NiI5mRGcrItiJCAcgFjHkFjXVoNJK\nMthsCLsT4fRgyS9GLipDnlaDXDZ90Gu0fv16vvnNb/LjH/+YFStWDP9CT2I8MBkwxwu6rnPixIlU\nAK2rqyOZTHL69Gm+8Y1vcPfdd2O1WjOk44Yy3zZR8ewLzWzbHWBOtYeqGW7KimWKCiTycj0XJNll\nqPclfVxkLOQKVU2n8WycYyejHDoaZt+hEJ0BlcsW5bJqWT6XL80bNR3YdD/H4YzGbNsV4AePneT/\nt3fmgVFVZ///3DtLJvsekkBCYoiyhy0gJNS9ilYtLlgsbrwuuC+1u0VqlV99xfZ1qUuLVbBV1BbF\nKlWgNUH2LWEHQ1iSkJCQfZbMes/vj0smGSYJASGJcD7/QObOzD33zsz93vOc5/k+N1+Xwo3X9AsS\nWJ8Ga/cobCxRuWi4vk7Zfgmx3g4VDXopUmq0wGw4FhnweKClCbOtFtVtR0QmoMYko4ZFtYVUvR5E\nRanetaaiFFFfjRKbiJKQghKXhBIVhxIRA+GRut2iyQSqAc3rxWltRjgdWDQPirUBUXcEImIwjr2o\n02P1+Xy8+OKLbN68mbfffpuEhIRTO9mS3kAKZl9g/fr13HXXXaSlpXHttdeyZcsWdu3aRWJioj+E\nO3LkyCABbe+92tcF1GrzsrvExp59Nkr2Wzlc5aa61kNUhO5JGh9rIi7WTHSUkehII+HhBsLDjISH\nqoSFGvQ1PYvuSRoSomIy9h1rQui47rD18dawZPsSI00joPVV+7o+5Vi2r/FYlu+3/Thr692s39LI\nynUNlOy3M/nCOK65PLFbPTC7y6mUxni9Ggs+PMx/vq7jFw9nMXJo8PpdnRU+XW/AYhJck6sR1S7z\n1eGCQ3X6uUuPg8hj/TGFEGCrRzt6CDQfIiYVX3gsXk3/jPB6MVbuw1C6A8r3oSSmomZcgDogC6Vf\nmm560Y1jPdloQV1dHffffz8TJkzgV7/6VY9kui9atIhnnnmGsrIyUlJSeOedd8jLyzvj+z1LkYLZ\nF7jjjju4+uqrmTZtWkAyweHDhyksLKSwsJDt27cTExPjL2MZPXo0JpMp6ELdXkA7yyzsDdp7o7aW\nUPg0QV29m6N1burqPdQ3emi2emmyerHZvdgdev/BFqe+lud06b0G3W4NTQi9Ya9Z9yO1WHRhjYww\nEhVhJC7WRGK8mbRUC9nnhXfLv/V0oGnQaBdU13uob9awu03YnQpWp0KLW8HlUXF59PXYgObKnfiS\nur36c0LNetlDxLG12NgIQXwkJEYLIkO7b9velPsVAAAgAElEQVRWW+9meWEtny0/Sr9EM9OnpjIu\nJ+qUbz46+ly7Q+URJ8+/up/wcCM/fSCT2Ojj1yth6wGFr7arfG+YxpistlmlpsHhRqi1Qv9Y3b7Q\nP+N0NKNV7wfNi5o4ECLbOsKIxlq8xavQdm+G+BS0QSPwpp2PZrYErU8DuI8cxVlehbumHp/dgeb2\noKkKmsVMZHp/IocMwhjRPRP9TZs28eSTT/Lcc89x+eWX98jN3vLly7n33nv58MMPyc3NpaqqCoCU\nlJQzvu+zFCmY3xWEENTU1PgFtKioiPDwcCZNmkR+fj7jxo0jJCQkyLy8vcNKR90/eoIzUULh9R5r\n3utuTZzRxdVm99HU7KWu0UPNURdlh1soPdTCqGGR3PWjAZw3sHsXuO7g06C6AQ7XKxypV6hpUqhr\nhlCzICbCR1ykSkw4RIbpTZEtJo0Qow+j6kHFB5w4E1cIXTRbXHpxvbVFodkO9TaFeivUNOnP7x8v\nSEsQZCYLkqJPLKA+n6BwbT3vf1yJxWLgrlv6M2Zk9Ekd/6l43goh+LKglrf+XsGPpqYwdUq/oOxf\nlwf+vVnlaJPCDy/0kdhuWA4X7D+q10sOTGgrCxFeD6J6P8LegJKUgRLdFtrVaqvwrVuOVrEPw/AJ\nGEZMRImOCzgOd7ON+sINNH69EVvxblp2l2KwhBCSlkJIvwQMkeFoioLmdoOtBdeRGlr2lzPyw1eI\nnTyuy3P01ltv8emnn7JgwQIGDBjQ3dP7rcnLy+Puu+/mrrvu6rF9nuVIwfyuIoSgvr6elStXUlhY\nyKZNmwgJCeHCCy8kPz+f8ePH+11Cjs/4hJ7xw+1uc+czjdPl44v/1rLokyre+uNwwsNOfR2xzgr7\nKhUOVCtU1CpEh+tilRKrERfhJcLkICK8e/WyXRXudzcTVwhodsDhOoWyowr7jyhoAgYPEAwfqJF8\ngq5PmiZYua6edxYdJjXFwj0/HtCt1mOnksR0tM7N//35IPWNHn72YGaH+znaBP9cYyA9QXDFaM1f\nKiIE1FihsgHS4iE+vN2ssrkWrapEb8uWONBf9yhszXhXL0U7uBvD2IsxjJyEYm4z/9Vcbo5+9hXV\nH3xO45otRI4aQuzFFxI1bhihw7JRIsMDfjOqqmI2m/3fY3Es7K52si5ts9l45JFHSE1N5fnnn+/R\ntfrWFn/PPPMM8+fPx+Vycf311zNv3jxCQrowQJZ0hRTMswUhBE1NTaxatYqCggI2bNiAwWAgNzeX\nyZMnM2HCBMLD9TWrnvDDba0hbe/s0pt4vRrT7i1m/h9GEHeSnS8abLDzkMKuchWnGwalCs5LFqQn\n6nWinXWMaZ0dOr3HPEmP9VL0+tpci1p7KopWjz9AUQQKAlXRMKl66NZiUgkLUQk1K5gMnc8ghYDa\nZthVrrLjoF7vOf58jSEDurb183g1PltWw3sfV3HRxDhuv7k/UZHBQnAqzax9muDz5Ud596PDXHdl\nEj+amoLJGDyYvYcVlm5SuXSkRk5m22VG0+BgLTg8MChJn10CCM2HOFKKcDSipg7Wy0KOjVHbvg7v\nmn9jGDYew/jLA3qhehqaqfjz+1TO/4iwwVmkzLiOhKu+hzE6cA21NeO3tXclEFQP2tlvZvfu3Tz0\n0EM88cQT3HTTTT1+o1hVVUX//v0ZN24cn332GUajkeuuu45LLrmE3/3udz06lrMIKZhnK0IIbDYb\na9asoaCggHXr1uHz+Rg3bhz5+flMnDiRqKi2C0yreLYK6Kn64fZVZ6J//OsI64saeWH24G4936fp\nF/CiUoWjTQpD0gRD0zUGxAeKVetMy2g0oakW7O5jPRTduom3QW3zJW31JG31JVXb++Ieez9B+zVM\ngbs19OzVa1HdPv2zCDMLokIhJkzt0DQedKEpPaKwdo+KwwUXj9C4oL/oMlzbbPWy8KPDFK6t59Yb\nUrn2ikSMx8TtVELru0tsvPZ2GSaTwiN3Z5CRFhr0HCH0LNjN+1RuzPOR2hYtxeODkmr9/GUktKun\n9LjQyneimENRUrLbZpUtNrxfLkI4bBi//yPUhOS28+HxUPH6+5T939vET7mI9EduJ/yCjo3NuzLD\nb132aJ/gpWkaP/nJT8jIyMBoNLJs2TIWLlzI+eefepeVb0NjYyNxcXEsXLiQGTNmALB48WKee+45\nNm/e3CtjOguQgnmu0Jryv379egoKClizZg1Op5MxY8aQn5/PpEmTiI2NDfDDPVnXm77qd1uwpo43\nFpbzf88MITmp63CUywNbShU2lajERMDYQRoXpAqOPxRNEzTaXDS1gMtnxu5WCTG2eZKGmfVEHcNp\nnFjrNzY+nG4fVqfA5lKxe4yoCsSFaSREKljMwTc3QsDBaoUVW1XCQwRTxmnERnS9r4PlLby5sIzq\no27uvKU/40eH43Z3/yaorKKFv/2zku27rdw1fQBXfC++k04z8MVmlaoGhWmTff5MV9Bn5HuP6C49\n/WPbhWBdDrSy7SgxKSgJaW1rlXVH8HzyFobskRjyrkZp96HZ95Sy6+5fY06KJ/t/f0bYoIGdjv1U\nTBd8Ph+ffPIJH330EUVFRdTX1zNixAjy8/OZMWMGo0aNOuF7nG7S09OZO3euXzA//vhjnn32WSmY\np44UzHMZp9PJ+vXrKSwsZPXq1VitVkaNGuXPxE1ISOjSUL59OMrj8fS5WSXAsoJa/vp+BXN/dX6X\nCT8uD2z4RhfKzGTBhRcEr/8Jodus1Vk1Ghy6PV9MmEJUqEKkJbinohACPE5wtyDcTr2ZtdeN8Hl0\nT1JNT/xBHLMtUlRQDXrvTqMZTCG6RVtIuP7/ICEU+HwazS0+6u0KTU4jEWYP/SJ8hIaoQdEBTdOP\nce1ele+P0hg28MQ/5U3Fjfz1/XJcbo0bf5DMJXkJhFo6vhHyaYKibc38a3kNu76xccPV/fjhlH6d\nPt/rg0/WqXi8cOMkLaAJt9sLe6r0DNiUmHbH7HKgHdqGkpSBGtNu9lhTgefj+Rgn/wDD0MAknNp/\nF7LnwTmc9/TDpNw+tcvvZvsQrNls7vR5x3Pw4EFmzZrFHXfcwcyZM2lpaWHjxo2sWrWKvLw8Lr74\n4m6/1+ni6aef5osvvvCHZK+//nouvfRS5syZ0+NjOUuQgilpw+PxsHHjRr+hfOtdcqsfbnJycqd+\nuIA/IeJUO7KcTjRN8LdjBujP/fJ80vsHhwJBv2hv2aewZo/KecmC/KEacceVA7q8eglDrU1fW4ww\nuUmINBARavRneLaKo3A0Q0szosUGLrvuPxoSimKygClEb2ptNOvCqBp0kfT3iNJA0w2+hcetv5/b\nAU673iQ7PBoi4lAi41EMweuwHq+gullQY1WIDfUSZ3GCCO6WU9OksHiNgcEDBBeP0DoN0bYPwe4q\n8fDplzVs320jZ1gk558XTmK8GYNBoabWxcHyFrbutJIQZ2LKZYlcNjkeS0jnEQafDxavVVEU+OGF\nWsDNhk+D3ZUQFwGp7cXS60Y7UIySkIYa21YaIRrrcH/wCsZLb8CQPTJgP7VLC9j72HOMeP+PRI3t\n3NT8VPuRCiFYtmwZv//973njjTcYPXp0t17XE3i9Xh599FHee+89QkNDueWWW3j++edP6kZAEoAU\nTEnneL1eioqK/AJaXV3NkCFD/D1BCwsLWbFiBW+++SYGg8FfD9reNu5UfFe/LXaHj3mv7ae+0cOc\nJ7OJ7SDJRwh9jfK/W1USogQXj9RIig7cbnVCdbP+b1y4INzQgsWoER6ul1AIzQf2BoS1HmFv0EUt\nLFq3W7NEgiX8hJ0quotwOxGORoS1HuwNKBFxKPEDUEKDi/3dXr2g3+WFrEQNoxJs9u/RjHyyPoyU\nOMGVYwLXNY+3t2t/gW22etmyvYnSgw7qGjx4vYKEeDMZA0IZNjiC/skn7oUmBHy6XsXthRsmaQFh\nayFgX42+zjuw3XqxEAKtbAeKJQK1X1uPUeHz4ln0CuqQsRjHfC9gPy37y9l8+e2M/OhVosYO63Q8\npxKCBf338dxzz1FaWsr8+fP9TeYlZy1SMCXdx+fzsX37dv71r3/x+uuvYzAYuPTSS5k4cSL5+fl+\n/9v2bZpa/z0Z39Vvw4EyB7/7YykjhkTy4F3pmE3Bi4i1zbCsSMXWonDFaI3Mfm1faSGg0QGVjXry\nTb8oiDS78bidmM1mzGYTiq0B0VyDsDWAJUKf8UXE6V0uAhoga9BUj2is1T1J7U0Ihw2OeZIKTUM5\n5klKSChKeJRuxZaQjBKfgtJJBqrweXVf1LoKCI1CTc5CMQWuzQqhi/2RJrggWV9P1R9v+2zsLV4W\nr49gULKHCy/w+kO4TqcTIcQZ65Dz9U6F/UdUbr3IF9SKq6YZjlphSGpgX0qtoQrRcAQ1c1TAOfZu\nLkArK8H0w7uDvlM7bnuSyNFDGfjEzE7H0j4EezJlT9XV1dx3331ceeWVPP74472eBS7pEaRgSk6O\nZcuWcfvttzNz5kx+85vfBPjhHjx4kMzMTL+hfHZ2tl9Aj/ddbW8ofzrs/IQQfL7iKAs+OMy9t6Vx\nxUXBHp1eH6zepbKlVCFvqMa4QW2lFq3toCoa9F9FagxEh7b15wwzqijN1YjGaggJ02v+IhMCbNRE\ni133Iz18AO1IGaK2CiyhujdpdDxKRDRKaARYQsGoe5KiaXrHDKcDYW9GNNUhao8gmupQ+qWhZg3H\nMHg0SljwTFJoPkRdBaK+EjX1ApTIuKDn1FrhcAMM7d9x82KrQ/DX5UauGddCvygXmqahKIo/OnC6\njS4OVit8ukFl5uU+Io6Lknt9sL0CLkjRk6b8xyk0tJINqGnDAmbUQvPhnv8spqn3oCamBryXp6GZ\ntSOuJm/vcgzhHWXmtrUeO5kQLMDq1av59a9/zYsvvsjkyZO7/TrJdx4pmJKTY/v27djt9g47LGia\nRklJid+NaN++faSlpfmTiIYMGRIkoKfDD7fZ5uXF1w9QU+vml4+c1+F6ZXktfL7RQEKU4MrRGpHt\n8n/sLiiv10sYBsRCTBj4fMf8Qn0uTNYaaGlCiUnWMzND2t5fq69GK9mGVroT0XAUNTUDpf95qCkD\nURJTUSyn5iwk3E608lK0fdvQSnegZo/EOPEqlIhgNx7haEIr34Wako0SFXyjUF6vJzUN6tfxvnaV\nwepdCtMmNhEaavF3yTm+5vDbGl34fPDnLw1cMVpjUErwZaSyQQ8jZx7XPlI016LVH8aQkRPwuHZ4\nP96CTzD/+Img97IW7WLPw78ld9UHQdtaHYoURSEsLKzbx6JpGq+88gqFhYUsWLCAfv06OaGSsxUp\nmJIzhxCCAwcOBHRkSU5O9s9Ahw8fjsFg+NZ+uDa7lyVf1HDzdclBIViPFwp3qOwqU/j+GI3BA9q+\nvl6fPqNscED/GD0jE3R3Iq+tAYutBsXj1NcKY5JR1GOGBM4WtN2b8O3aiLBbUbNHYMgajtL/vC7X\nLIXPh+b2gCZQLeaAsocuz6PTgW/TV/h2rMd4yQ0YLgguURAtVrSyHagZOXpmbTs0DbZVwPn99H6g\ngds07HYH730dyZVjNTL6BWfiduQUdSp1usX7FXaXK0y/SOtw+/YKOC9RL8sJGGNVCZhDUeMDbeV8\nOzeglZdiump60Hu5qmrYMHEaeftWBDjxtNbNnmw2d2NjIw899BBDhw5lzpw5Z7zrjKRPIgWzN3C7\n3TzwwAOsWLGChoYGsrKymDt3LldddVVvD+2MIoSgvLzcPwPdsWMH8fHx/hloTk6O31D+dPnhvleo\nEmqGK8doAWJRb4eyOn02OSBWLwnx+Xy0NDdibqrE4LajJKbrQqno+xKNtXg3F6LtLULNuADD8Ako\naYP821tx19bTtG4r1qJd2Pfsp+VAOe6qo3ibrCgmI6gKwuXBEBGGZWB/wodmETNpDAnXXIw5ITis\n2opWU4FnyV8xTroKw7DxwdtryxEtVgxpQ4O2Veg5SaS1NwVoJx7rSyz4NIVLRnYsZgH7Oe6z6W5z\n7Xf/a+DCwRrZqcGXEM+xcOzo9GATBt+h7ahx/YNCzr49W9D27cD0g9s7HGfx9bOIvWg8A5+YeUoO\nRa1s3bqVxx57jNmzZ3P11Vf3ega4pNeQgtkbOBwO5s2b52/p9fnnnzN9+nR27NhBenrXzWfPJoQQ\nVFVV+f1wt27dSlRUFJMmTSIvL4+xY8diNps7neV0J0xoc0LEcYmbB47q9ZQZCRBpOZYV6nKi1VZg\nsh1FjUvVC+JbZ5RNdXjXfol2YDeGkZMw5OShREQFHIdt6x5qlqyg7ouVOCuOED1+JJFjhhE+OIuw\nQQMJSU3CFBftn1UKTcPb2EzLgcPYtu+loXA99f9ZQ/yUizjvNw9hGZBMR2j11Xg+eBXz9EdRYgLD\nr0LzoX2zDjV7fFDZSZMDqppgcErg+l1rj86dhxS+qVSYOvHEghk0pg7KjI5P8hJCYd7HBh67zhdQ\nb9mK3QUHamF4/+BtvrIdqDHJQeFm0ViL+4NXMd/9VIcze2dZJUXX3E3SzVeT+MB0DKGWk7JpFELw\n7rvv8v7777NgwQIyMjK69TrJWYsUzL5CTk4Oc+bMYerUqb09lF5DCEFtba1/BrplyxZCQ0P9Wbi5\nublYLJYga7KT9cO1tuhhP1XVL/bO5kZMR0tRTSGoqdkoZn2NUnhc+NYtx7djPYZR+RjGXBTgSept\nslL1tyVULliM5nSTNPUKEn5wCZGjh3ZqyN0V3iYrZa++S9U7ixm28AViJnZc0+dd8wXC6cB06Q1B\n23wHilGTMvWazXbYXHCoFgYnd1xCUbxfobxW4drxJy+Yx9NRlrRPGJj/n2gev87Z4Rp1i1svJxnR\nQTMPrfoAKKAmZQZt83wyHyU1E+P4yzoci62skpKfPY+jeDepd95I4nWXETF00AmPweFw8MQTTxAV\nFcWLL74oDcslIAWzb1BdXU1mZibFxcW95j3ZFxFC0NjY6J+Bbty4EZPJxPjx45k8eTLjx48nLCzM\n/9yT9cP1d9wwqpjdtsCWUOX78Cz7ADU1A+PkawNmlN5mG+Wvvsvhv3xI7CUT6H/3NKInjj5tobq6\nFavZc//TjF//D0xxwbV9WnU53mUfYL7tyaBtvkPbUOMH6GUu7ai3CWqaNVIj7B2WUCzdpBIfKZhw\nwen/ebda+v3x0xDuvqwZgxK8Ro2iUnQIctI6cExy2vT12UG5/lm/f1tzA+5FL2PMuxrDsNyAfbZ2\nygkLC8O5u5TKdz/Bc7SeYW8/3+V4S0pKuP/++3nooYeYPn26DMFKWpGC2dt4vV6mTJlCdnY2r732\nWm8Pp08jhKC5udlvKL9+/XoAcnNzycvLY+LEiURERHTLD9ftdvtLCjpaz/LtLQKzBUPmkID9V3/w\nOaWzXyL2kglk/mIWoZlnpr/hrvueImr0UAbMujX4PDTW4v7nm4T8z6+Dx12yATV9GEpIeMC491d7\nURWN9ARjUAmFywOvfW5g5hU+osOPf8fTx/uFKjmZgiFpWtDnA1BlCyPCAsnRStANjlaxGwwm1JTg\n2aFWdwTPkr+ipg3CmH8NIiT0pPt0gn6elixZwquvvsr8+fMZOjR4LVhyTtOhYMr0r2/JJZdcQmFh\nYYd3pnl5eaxcuRLQf6AzZswgJCSEV155paeH+Z1DURSio6OZMmUKU6ZMQQiB3W5n7dq1FBQU8PLL\nL+PxeBg7dqzfUD46OjpAQFuL8kGfgbafjbb/vAwXBIdD7TtLKH/1bye0WTsdRI4cTMuBig63afU1\nAQ2QWxEuh26vZ27LkvV6vdjsDppckQxJAYMh+Du59pgt4JkUS4BR5wnW7VUZkib8dbjtm573UzUO\n1BkJVW0YVREQIVCSsxAHt6EdPYSSkB7wWanxyZh//DjeNf/G/c7v8WaNxDgsl5DUgd2eHbrdbmbP\nnk19fT1ffvklkZHBda9nipKSEkaOHMnNN9/MwoULe2y/ktODnGH2EDNnzqSsrIylS5dKf8fTREtL\ni78jy+rVq7Hb7YwZM4aJEyeydetWli1bxldffYXJZOo0UaWrTE+haSg94OryzU/+HyFpKQx87M6g\nbZ5//w2lX3qQFZxW+Q0YTahJmQEhyWZPOE6vocM6zMp6+PBrA//z/cBOIWcCIWDBfwyMyNAYO6jj\ny0h5vZ4ANChJQ/MdZ/iPIOToPr3EJDUb1Whu997Hjrf+KCElRVCyFVQDpqtuRU3N6HJchw8f5t57\n7+Wmm27i/vvv73HXniuvvBKn08nAgQOlYPZtZEi2t5g1axbbtm1jxYoV/nU4yenH5XKxZMkSfvrT\nn2I0GsnIyCA7O5tJkyaRn59Pv376umX7NdDe9sP1NDSzfsz1jC34O6EDAx1stJrDeD7+M+Y7foFi\naVM4fx3moHEIxeAPSaqmMPYeURmS2tZ4uRWbExasMHDZqMD61DNJXTO8+5WBGyf5SEsM3i4ElNbo\ntoRZSW3t0fxJXm4Xan05qr0Bb1QySkw/VKMJt9sNtIVghRCI2iqUyJhOzSOEEHz11Vc888wzvPLK\nK0yYMOFMHXanLFq0iE8++YShQ4eyb98+KZh9GymYvUFZWRkZGRlYLBb/epKiKLz55ptMnx5chC05\ndVatWsXUqVP5xS9+weOPP47P52Pz5s1+Q/na2lqGDRvm78iSmpoaIKA97YcrNI2dd/wMc0oi5//v\nzwO3eVx43n8Zw9iLAxNcfF60A0UoiQPxhcXqiUxmM0ZTCHuqFPpFQWJU4H5cHvh7gYFBKYLvDe9+\nZqzbo9HQ6MHu8BEWaiA+zoTJeHIzsv1HFD5dr3Jzvo/+8cHbNaFn9NpdcF5SoE2e/zktNrSag9DS\njCc0Bm9YDIREYDSZuuUW5fP5eOGFFyguLubtt98mPr6DgZxhmpubyc3N5auvvuIvf/kLpaWlUjD7\nNlIwJWc3VquVAwcOMHLkyA63+3w+tm7dSkFBAStXrqSyspLBgwf7BXTgwIF+AT3jfriaxjdP/h77\nrn3kfPI6BktbKYPw+fB+tgAsYRi/f4tfrIXQ0Mp3gjEEd2yavzBfNRjZVw1mY2DXDwCnGz742kBy\nrOD7oztv79XKkRoXK9fWs3ZzI/sOOoiMMBARZsTR4qOp2cugzDAmjovh8u8lENdBZ5iO2Fep8NlG\nlavHaZzfP/iSIgTU2qCiHhKO9cQ0BnQ10TuquO3NhLqtKLZ6hM+DLyEDryXK7xbVvsyoNbmrtraW\nWbNmkZ+fz89//vNea3T+2GOPMWDAAJ588kl++9vfSsHs+0jBlEjao2kaO3fu9AtoWVkZWVlZfjei\nrKysM+KH67Xa2X3fU3gamxm56CWMURH+bcLrwbv0XdAExmvv8BfpC6GhVewBzYcjdiDqsdpKFJX9\nNfoPNSspsOuH3amLZf/4E4vlN6V23vu4kh17bOSPjyV/fCzDBkcENIR2unzs2G2jcG09azY2MCk3\nlh9NTelWm6/KOli81sCQAYKLRmhB5SSgtyo73KB3kEmMgqRIMBkEDocjqKOKcDtBVVGMgWYXXq+X\n9957jxdeeIExY8awbds2Zs+ezZ133tlrXUaKi4uZMWMGxcXFGI1GKZjfDaRgSjqmoaGBmTNnsnz5\nchITE5k7d+45GS7WNI29e/f6BXT//v2kp6f7/XAvuOCCAAE9VT9cn9NFxWt/J+3BGagh7ZJZrI14\nPluAEhOP8fs/ahNLnxetYjcCcMSkEWIJxWw2owmF0hr9tYP6BYplvVVP8BmcJrhoeOdiWVHp5K33\nytlbamfadSlcdWlCl82gW2m2eVny72qWfFnDRRPjuO3mVGKiup5xOlx6DWidVeGqMRoDkzq+vDg9\nUN0EdTaBxegjJlQjIdqE2dj93pUvv/wyq1atIjIyks2bN2O1WsnPz/c3WO5JXnrpJZ566ikiIyN1\npyibDZ/Px9ChQ9m0aVOPjkXSbaRgSjqmVRz/+te/smXLFq655hrWrl3LkCFDTvDKsxtN0wJamn3z\nzTekpqb6Q7hDhw71G8qfDj9cz38Xo0REY8i9tC0M62pBq9iJzxSOK6Y/YeHhem2pF/ZVg8Ws2/61\nF8uyo/DxWgP5QzvPUG1x+vjbPyr5sqCWm69N5odT+hFiPvkZWFOzh78vruSrVfX8aGoK11+ZhLGL\ndc7WZt4rilWSYwSTh2v0izn+OQKPx4OjxYlLhGF1GWl26ob5aZ3b7wJ6WP7hhx9m4MCBzJ07F5NJ\nF/GKigo2bNjADTcEOyadaZxOJ83Nzf6/X3jhBQ4dOsQbb7xBXNwJDkjSW0jBlATjcDiIjY1l165d\nZGVlAXDHHXfQv39/5s6d28uj61sIITh06JDfzm/Xrl0kJib6Q7gjR4485qV6an64QoigptRa6Wbc\n4fGIqH6EHmtPZXPq1nJJx9b7Wl8iBBTtV1i5Q+W6CRrnJXf88127uZFX3zpEzrBI7vlxGrHdXIvs\nirLDLbyxoIzqo27uvyOdcaOCW5O1x+uDzfsU1u9VSYoRjB0kyEoWKIqgpeVYX9J2vSuFAJ8W7AzU\nnl27dvHQQw/xs5/9jKlTp/ZZ1x4Zkv1OIAVTEkxxcTH5+fnYbDb/Y3/4wx8oLCxkyZIlvTiyvo8Q\ngsOHD1NYWMjKlSvZtm0bMTExfgEdNWrUCQ3lO/PDbU10cbW0YAkL89fu2pxQUq3PKmPbmQ94vPDl\nFpXKeoWb8nzEdVCL32z18qe3D7G31M5j92QwanhU8JO+5flYt6WJNxeWMSDFwr0z0kgf0HX40+uD\nXWUKRftVmuyQ1c/FoBQfWf3NGDswXuhsv4sWLeLtt9/mnXfeYdCgE/vHSiQnQAqmJJhVq1Yxbdo0\nKisr/Y/Nnz+f9957j//+97+9OLLvHkIIampq/DPQoqIiwsPD/XWg48aNC3C7Od5Qvr14ulwuINju\nTQi9PZa5nUeX1QGLvjaQGC24eqzWYYeQDUWN/PHNg3xvYhx3/ah/t9YpTxW3R+PTL2r4YEkVF46L\n4babUklK6NrQ3O12U1Xr5kBtGPurTTG4IGYAAAmeSURBVDTY4HvDNXKzu74EOZ1Ofv5zvSTn5Zdf\n7vH1SclZixRMSTAdzTBffPFFVq5cKWeY3xIhBPX19X5D+U2bNmE2m7nwwgv9hvIWi6VTO7/2Idyu\nzBR8PvimUmHwABGU3ON2a/zl7+Ws3dTITx/IJGfY6Z1VdoXV5uUfnx3hs2U15E+I5cYfJJPeP1DQ\n2rcfax+Cdbj02WdUFz4fBw4cYNasWcycOZM777yzz4ZgJd9JpGBKgnE4HMTFxbFz507/Gubtt9/O\ngAED5BrmaUYIQVNTE6tWraKwsJANGzagqiq5ublMmjSJgoICiouLWbJkid/7NsAurhuNm4/n9QVl\n1Na5eezeDCIjesc6utnq5ZMvqvlseQ2DMsK4+vIkJoyJRlVEh+3HToQQgqVLlzJv3jz+/Oc/k5OT\nc4aPQHIOIgVT0jG33noriqLwl7/8hS1btnDttdeyZs2acz5L9kzTWmLw8ccf86tf/YqwsDAyMjIY\nPnw4+fn5TJw4kaioKP8M9FT8cF1uDbNJ6ROzL7dbo3BtPV8W1HKwzMG4nAgm5cYwblQcYaHdE3Ov\n18vvfvc7Dh48yPz584mO7jq5SCI5RaRgSjqmfR1mQkICzz//PLfccktvD+ucYNWqVdx44408+eST\nPPHEE7hcLtatW0dBQQFr1qzB6XQyevRo8vPzycvLIzY2ts/54Z4MrSHYyiMOtuxwsbG4mT0ldh69\nJ4PLJndtWXfkyBHuu+8+rrnmGh555JFeMyKQnBNIwZRI+hq1tbXs37+f8ePHd7jd6XSyYcMGCgsL\nWbVqFVarlVGjRpGXl0deXh6JiYm96od7MmiahsPhQFEUwo6VyIDuIOTzQXhY54lIX3/9NU899RR/\n/OMfyc/P76khS85dpGBKJN91PB4PGzdu9AtofX09w4cP95spJCcnd8sPt6cF1OPx0NLSQkhICGaz\nudv71jSNl156idWrV/POO++QlJR0hkcqkQBSMCVnA263mwceeIAVK1bQ0NBAVlYWc+fO5aqrrurt\nofUKXq+XoqIif0eWI0eOMGTIEL+ApqWlBQno6fDD7S7te3WGhYX5TdG7Q0NDAw8++CA5OTnMnj27\n14zTJeckUjAl330cDgfz5s3jrrvuIi0tjc8//5zp06ezY8cO0tPTe3t4vY7P52PHjh1+P9yKigqy\ns7P9a6CZmZmnxQ+3O7QPwYaGhp7U+xUVFfH444/z29/+lquuuqrXw8mScw4pmJKzk5ycHObMmcPU\nqVN7eyh9Dk3T2L17t19ADx48SEZGht9QPjs72y+gp8MPtxWv14vD4cBsNhMSEnJSIdgFCxbw0Ucf\nsWDBAgYOHHiqh95tZNRC0gFSMCVnH9XV1WRmZlJcXMz555/f28Pp82iaxr59+/yG8iUlJaSlpflD\nuEOGDOlUQKF7frinGoK12+08/vjjxMXFMW/ePL8d4JlGRi0kHSAFU3J24fV6mTJlCtnZ2bz22mu9\nPZzvJEIIDhw44Lfz27NnD/369fOHcEeMGBHUkaUzP1zA71R0vKXfidi7dy8PPvggjz76KNOmTev1\nEKyMWpzzSMGUnD0IIZg+fTo2m83vjCP59gghqKio8Idwd+zYQVxcnN9QPicnB5PJ1KEfrhACVVUx\nm80dGsp3tr/Fixfz+uuv89Zbb/UJswwZtZAgBVNyNjFz5kzKyspYunRpj4XuzkWEEBw5csQ/Ay0u\nLiYqKspvKD969GheffVVVFXlwQcfRFEU/yxUCBFQC3q8mYLb7eapp56iqamJ119/nYiIiF48Uh0Z\ntZAcQwqm5Oxg1qxZbNu2jRUrVhAW1oU7t+S0I4Sgrq6OwsJCvvzyS5YsWUJMTAxTp07l4osv9hvK\nA0EhXE3TWLhwIXa7nREjRvDKK6/w4x//mHvuuadPuPbIqIWkHVIwJd99ysrKyMjIwGKx+C9oiqLw\n5ptvMn369F4e3bnDpk2bmDZtGj/4wQ/49a9/zbp161i5ciUbN27EaDQyfvx4f0eWVlcfTdP4z3/+\nwwcffEBhYSGNjY1MnDiRiy66iMsuu4xJkyb16jHJqIWkHVIwJRLJ6WHx4sVomsZNN90U8LgQAqvV\nyurVqykoKGDdunUA/o4sa9euZd++fbz11lsoiuLv3OJwOHo1BCqjFpLjkIIpkUh6FiH0Fl5r167l\nH//4B1arlXfffbdPhGBbkVELSQdIwZRIepuSkhJGjhzJzTffzMKFC3t7OBKJpGM6FMy+c5snkZwD\nPPTQQ512JpFIJH0bKZgSSQ+xaNEiYmNjueyyy3p7KBKJ5BSQgimR9ADNzc08/fTT/OEPf+AEyyAS\niaSPIgVTIukBZs+ezT333ENqampvD0UikZwi3XdGlkgkp0RxcTErVqyguLi4t4cikUi+BVIwJZIz\nTGFhIYcOHSI9PR0hBDabDZ/Px65du9i0aVNvD08ikXQTWVYikZxhnE4nzc3N/r9feOEFDh06xBtv\nvEFcXFwvjkwikXRCh2UlcoYpkZxhLBaL318VICIiAovFIsVSIvmOIWeYEolEIpEEIo0LJBLJd4+G\nhgamTp1KREQEmZmZvP/++709JMk5igzJSiSSPs0DDzyAxWLh6NGjbNmyhWuuuYZRo0b1iWbTknML\nOcOUSCRdsmjRIoYOHUpERATZ2dmsXr26x/btcDhYvHgxzz77LKGhoeTl5XH99dfz7rvv9tgYJJJW\n5AxTIpF0yvLly/nlL3/Jhx9+SG5uLlVVVT26/2+++QaTyURWVpb/sZycHAoLC3t0HBIJSMGUSCRd\nMGfOHGbPnk1ubi4AKSkpPbp/m81GVFRUwGNRUVFYrdYeHYdEAjIkK5FIOkHTNDZt2kRNTQ3Z2dmk\np6fz8MMP43K5emwMERERATWsAE1NTURGRvbYGCSSVqRgSiSSDqmursbj8fDPf/6T1atXU1xcTFFR\nEc8++2yPjeH888/H6/VSWlrqf2zr1q0MGzasx8YgkbQiBVMikXRIaGgoAI888ghJSUnExcXxxBNP\nsHTp0h4bQ1hYGDfccAOzZ8/G4XCwatUq/vWvf3Hbbbf12BgkklakYEokkg6JiYlhwIABAY8pSof1\n3GeUP/3pTzgcDpKSkpgxYwZvvPGGLCmR9ArS6UcikXTK008/zRdffMFnn32G0Wjk+uuv59JLL2XO\nnDm9PTSJ5EzS4Z3hiQRTIpGcwyiKYgReAm4FWoAPgJ8LIdy9OjCJpBeQgimRSCQSSTeQa5gSiUQi\nkXQDKZgSiUQikXQDKZgSiUQikXQDKZgSiUQikXQDKZgSiUQikXSD/w+GZmolNv6kbwAAAABJRU5E\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109e08610>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8,6))\n",
"\n",
"ax = fig.add_subplot(1,1,1, projection='3d')\n",
"\n",
"ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
"cset = ax.contour(X, Y, Z, zdir='z', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n",
"cset = ax.contour(X, Y, Z, zdir='x', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n",
"cset = ax.contour(X, Y, Z, zdir='y', offset=3*np.pi, cmap=matplotlib.cm.coolwarm)\n",
"\n",
"ax.set_xlim3d(-np.pi, 2*np.pi);\n",
"ax.set_ylim3d(0, 3*np.pi);\n",
"ax.set_zlim3d(-np.pi, 2*np.pi);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Further reading"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* http://www.matplotlib.org - The project web page for matplotlib.\n",
"* https://github.com/matplotlib/matplotlib - The source code for matplotlib.\n",
"* http://matplotlib.org/gallery.html - A large gallery showcaseing various types of plots matplotlib can create. Highly recommended! \n"
]
}
],
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 1
}