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@mwaskom
Last active December 11, 2019 14:42
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Copy of the new seaborn basic plots tutorial showing new functionality for forthcoming v0.9
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{
"cells": [
{
"cell_type": "raw",
"metadata": {},
"source": [
".. _basic_tutorial:\n",
"\n",
".. currentmodule:: seaborn"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Basic plots to show numeric relationships"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"TODO introductory copy"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"import seaborn as sns\n",
"sns.set(style=\"darkgrid\", color_codes=True)\n",
"np.random.seed(sum(map(ord, \"basic\")))"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Emphasizing continuity with line plots\n",
"--------------------------------------\n",
"\n",
"With some datasets, you may want to understand changes in one variable as a function of another variable that has some sense of continuity. This is most common when one of the variables represents time, either abstractly or with a datetime object. In this situation, a good choice is to draw a line plot. In seaborn, this can be accomplished with the :func:`lineplot` function.\n",
"\n",
"The simplest case is when you have a vector of timepoints and a vector of values. To draw the function relating these variables, pass each to the ``x`` and ``y`` parameters of the :func:`lineplot` function, respectively:"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
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w6lQoLdDh+ClLxF9np9uoiXU2QaKeI0hTH30h6vbAJOTYIf4ORZEqQvoLJoyt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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x108e94f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"time = pd.date_range(\"2017-01-01\", periods=24 * 31, freq=\"h\")\n",
"value = np.random.randn(len(time)).cumsum()\n",
"sns.lineplot(x=time, y=value);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Because :func:`lineplot` assumes that you are most often trying to draw ``y`` as a function of ``x``, the default behavior is to sort the data by the ``x`` values before plotting. However, this can be disabled:"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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tmbWs31XusM3rX+axbnsJe3PrKavroldn4KPNx9iVPVARmBDhw38fvcChyKiu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x6yLLPrUA4STX1BO0N2UQVvbTvBleoGJg714oHbBmNjrUSr05tEtgDqGvS8s/0Ed00KYNbEgW0G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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d1cae80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x, y = np.random.randn(2, 1000).cumsum(axis=1)\n",
"sns.lineplot(x=x, y=y, sort=False);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Aggregation and representing uncertainty\n",
"----------------------------------------\n",
"\n",
"More complex datasets will have multiple measurements for the same value of the ``x`` variable. The default behavior in seaborn is to aggregate the multiple measurements at each ``x`` value by plotting the mean and the 95% confidence interval around the mean:"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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a0AqdyGPBrMKo80yG3FtbEY/VJMXdQW9ykSWlHfS6fTQriuSOpMHiN7/5DXw+\nH5588knk5eWhpaUFjz/+eDbaRlLU5Q5GBrbrj3TD7ZOxYFZh1PRYVWWwUa8iguM4GOOsuUglFQUA\n/oBMC1NJzkgaLIqLi3HbbbehuroaALB+/XqUlJRkvGEkdZ5+A9s76loAAGfPid5/RBR5GKlMRRTb\nCFNRAODyUu+C5IbcnhYzAfiCMtTege0TrR40tXsxe7J90D7b5gQrl3OVySCBj5OLSiUVxXEcPLSi\nm+QIChbjXI9Hjgxsf9Lbq1gyN7pXoagMeRYKFrHE2388OhUVf2cyf1CBrNCEDzLxUbAYx1SNwdc7\nhbPHE0T90S4UO4yYUhK9NaJRJ0Aa4Z7kE1WeWYKqJEtFdca9vyjy6PZQKopMfBQsxrEuVyAysP1p\nQxsYA5bMLY6a8cQYgyXOt2cC6KX4lWhTSUUBoDUXJCdQsBjHXN4QOI5DSFaxa18bzAYR86flR53D\nGGA10yyoROLt65FqKkrTqLggmfgoWIxT/qACWQ7nyvcc7EAgpGLxGUUQxeg/aaJBXBJmM8evRJtK\nKornOXh81LsgExsFi3GqxxOCIPBgjGFHXQsEnsOi2c6oczQ1d/etGApJFOJOK049FaXEnYZLyERA\nwWIc0hiDNxj+JnugqQcdriDmT88fNDYhiDxMObZ16nCZDVLMBXappqKouCCZ6ChYjEMuTwh9JZ92\n1LUCAJbMKY46R9MYHBYaq0iVzayDGmc1diqpKI7jIjPTCJmIKFiMQy5/eGC7ucOLQyddmFJiRUlB\n9Ba3gsDDZtaPUgvHH57nYI4zayzVVFRIpuKCZOKiYDHOBIIK5FD4A2vb500AgHPmRvcqmAbkWylQ\nDFW88h+ppqIEkUMPFRckExQFi3Gm2xuCIIZTHjX1LXBY9Zg1KS/qHEHgqBT5MNjM+riVaPtSUX2b\nSsXjo+KCZIKiYDGOaOz0iu2axjbIMfas0DQGB/UqhoXjOBjjTAiYXGRBvk2PvYc74U7Se0h2nJDx\niILFOBJehAeoqoZPG9pg0AmD9qwQRZ56FSNgM0rQ1NipqHPnlUDVGHbWt8a9P8dxcNOaCzIBUbAY\nR9y+cCnyuiNd8PhlLJlXAr10uuaTpjEaqxghk0GKFGYcqGpGAUwGEZ81tCEoxy8eSMUFyUREwWKc\nCMoKQrIaWYTHccDSBeVR50iiAIuRehUjFW9tiiTyOHtOEYKyis/3tcW9vyjy6KHigmSCoWAxToRX\nbHM43upBuiqvAAAgAElEQVTByQ4fZlfYUZBnjBzXVAaHlQJFOuSZJagxUlEAsHh2ESSRx466Vqha\n/Gm0HlpzQSYYChbjAGMsUtk0sghvwHRZSaJeRbroJRE6MfZbw2QQsWBmIXq8oYS76FFxQTLRULAY\nB/q27ux2B9FwrAulBSZUFFkixzWVxirSLVGZlHPmFYPjgO21p+JOk6XigmSioWAxDvQNbO9saI25\nZ4VOEuKuPibDYzNLUOKkohxWPeZMceBUpx+HEyzSo+KCZCLJarDQNA33338/rrnmGqxduxZHjx6N\nOr5lyxZcddVVuPrqq/Hee+8BADo7O3HDDTdgzZo1uOOOO+D3+7PZ5FEXlFUEZKV3ULUdFqOEeb0L\nxABAVWldRSZIogCjLv7ugufOLwEAfFx7Ku45PA/0eKm4IJkYshos3n77bYRCIWzevBnr1q3Do48+\nGjnW1taGTZs24eWXX8bzzz+PJ554AqFQCBs2bMDll1+OF198EXPnzsXmzZuz2eRR1+MJQhR4fHGg\nHUFZxeIznBCE0382PfUqMsZsjF2JFgDKC82YUmzBoZMutHT6Yp7DcZSKIhNHVoNFTU0Nli5dCgBY\nsGABamtrI8f27NmDhQsXQqfTwWq1oqKiAg0NDVH3WbZsGT7++ONsNnlUMcbg8cu902VbB+1Zoaoa\n8vOoV5EpNrMOCSY8RXoX2/e2xD0nJGsIylRckIx/sXd8yRCPxwOL5fTArCAIUBQFoijC4/HAarVG\njpnNZng8nqjbzWYz3O74OeI+DocJohg/hZAKp9Oa/KQM63YH4LCbUXekA13uIJbMK8GkEnvkuE7i\nUVFiG8UWpm4sXM9UDGxnCByCwdgL7M7KM+G9z0+i9nAnrvzqTDishpjn8ZIIp9MS81g62zpWUTvT\na7TamdVgYbFY4PV6I79rmgZRFGMe83q9sFqtkdsNBgO8Xi9stuQfjl1dsdMCqXI6rWhrSx6UMu1E\nqweKpuGdT48BABbMzEdXd/gaqSpD1eyiMdHOZMbK9UwmVjtlfwgd3f6o+lv9nT2nCH//6Aje+uQI\nLjlrcsxzOhmDyLSoSQmZaOtYRO1Mr0y3M1Egymoaqrq6Gtu2bQMA7N69G5WVlZFjVVVVqKmpQTAY\nhNvtxsGDB1FZWYnq6mps3boVALBt2zYsWrQom00eNSFZRSCk4FSnD0ea3ZhWakWx4/SeFQadCBOt\nq8i4gbsPDvSV3h0Kd+1rQyAUO93EGBUXJONfVnsWK1aswEcffYRVq1aBMYZHHnkEGzduREVFBS6+\n+GKsXbsWa9asAWMMd955J/R6PW699Vbcdddd2LJlCxwOBx5//PFsNnlU9HiC6HQHIIo8dtaF8+H9\nF+GpKkOxgwJFNnAcB5NRirupkSiES4C8u6sJu/a147zecYz+eD5cXJA2oyLjWVaDBc/zePDBB6Nu\nmzFjRuTnq6++GldffXXU8cLCQjz//PNZad9oC8oq2rv9CMoqeJ6D1y/jy0OdyLdF71lh0Ikw6mkG\nVLbYjBJ8PjlugcHFs534cE8zdtS1YMmcoqjZan0CIRWyokIa4VgaIaOFFuWNAYwxdPT4caLNA1nV\nIvnxzxrboGoMS+acXoSnqgwFNvqGmk2JKtECgEEvYmFlIdw+GbVxNkcSBI6KC5JxjYLFKPMGZBxt\n9cDlC0HoN4iqqBo+a2iFQSfgzJkFkduNehEGfVY7hASAOUH5D6BvVT2wvbYl7toMLxUXJOMYBYsB\nGGNQ1QST69NE0xiaO7041eEDGBs0U2bv4U54AwoWVhZC17tnBfUqRo/NrItbiRYA7BY95k3LR2u3\nHweaXDHPUTUGr58CBhmfKFgMoGoM9Uc70dTmQZc7kLAM9XD1eII42uJCMKRCiJHe6L9nxdlnFEVu\nN+lF6HXUqxgNekmIW4m2z3nz+hbpxS4BEh7oplQUGZ8oWMQgcBxkVUO3J4jDzW40tXnQ6Rp54AjK\nKk60utHpCiacc994rBunOv2YM8WBPEu4J6HQau1RZzLEL/8BACUFJkwrteJIsxvNHd6Y51BxQTJe\n0dfUBDiOgygAsqoh5A2i0x2EUSfAoBNht+og8KnF2vAAdhA93iAEgQMX525uXwjv1DRhz8EOcFy4\nFHYfs16CXqI/12iyW3Xo8gSRaELTufNLcLjZjY9rW/Dt5dMHHed5oMsdiNq4ikwMjDEwBmi9/wcY\nFI0BGqAyDZoWPkdjAIfo8/q+P6iMgWNA+GYGFv5f5PF9CkNnpxcM4ZPY6SeP/Gw2SCi0p//1RZ8+\nKYoKHL4gujxBGCQBRr2IPIsOYozpkkB4ULOtJwCmaTFTTkC417CjrgUffNGMkKKhJN+Ey5ZMxqTe\nEhGKqqG0wJyxfxtJjcDzMBlEhBLsvz2jzIZihxF1RzpxcXU57AMqAnMch25vCAa9mHTQnIwdGmNQ\nFBVBWYOiMCiaBlULj2+qGoOqaVB7g0H4Xc4BXPjnviwCx2HEq/hlRYOSJMOhJuj9jgQFi35kRcO2\nL5pQVGCB1RD/62Nf4FA0DW5/KCpw2MwSJFGApjG0dPvg8yvh3kScF8m+4914a+dxdLqDMOlFXHL2\nZCyYWRhVXsJs0EEv0fz8scCZZ8CxVk/UzLX+OI7DufNL8NoHh/FJXQsuW1Ix6ByB59Da5cMkp4XW\nXYwRIVmByxuCqmmQVQatNxAovcFAYwDHAF6I/YHf95kA9D+WvvIuYwEFi36OnnLjT//cDwAod5qx\nqNKJedMcSd/QosCdDhzuAAw6EbKqguO4uL2J9p4A3tp5DAeaXOGB7DlFWL6gDMYB02JVlSG/gMYq\nxgpJFJBnkuD2y3G/AMyb5sC7NSfw+f72mH9TIPzhcqozHDDSWTOKpKZvq2JvQEEgqMDsDcHt8sf8\nW/A8R4O7oGARZeakPNx21Xz8s6YJjUe70NTmxVufHkfVjAJUVzpR5EieBxRFHooWv2hcMKRi2xcn\nsaO+FZrGMK3UikvProj72GaDRL2KMSY/zwi3P37ZcYHnsWRuMf752Ql81tiGpVWlMc9TVA2t3f6o\nml8kc1RNg9snwxdQInW8+nrwkiBQ0E6CgsUAVTMKUVFmx4nmHuza347d+9uxs74VO+tbMbnIgkWz\nnZgzxQEpyTTKgRhj2HOwA29/dgLegAK7RYcVZ03GGRX2uC9SVWXIL6RexVjDcxzyrfrwrLY4L4Pq\nSie2fdGMnXUtOHduMcQYr5e+zZGMuiDVjcqQQEiBxyfDH1IQlDUIfPi6x6siTOKjYBGH3arHRdXl\nWL6gFPuO96CmsQ2HTrpwvNWDN3Ycw5kzC7Co0pnSrIOmdi/e+OQYmtq9EAUeX11YhnPnlSQNOGaj\nBB3ltMekPIs+nOOOM5io1wmonl2I7bUt2HOoA9WVzpjnCQKHtp4A9JJAa2jSoC+95OlNL6kKgyCG\nA4OYoGRLJtqhqgxBRUVI1hCSVQTl3p97B8qjbuv9mSE8phX+j4cgcKd/F3hYzXoEgzJEge93e/T5\n08sys8cNvTqTEHgec6Y4MGeKA13uIHbta8Pu/e3YUdeKHXWtqCg+3dsYOCPK45fxbs0J7D7QAQCY\nO9WBFYsnRdZOxNM3BY9Wa49tBXYDmtt9ccellswpxo66VmyvbcHCWYVxe5ACz6G504eKYit4SoUM\nmappcHtl+IIK/CEFHE6nl/oCRboFQyrauv1o6wmE/9/lh8sX6t0ZMRwAtAzNSkpm/rR8/Ns1C9L+\nuBQshsBh1ePiRZPw1QVlaDzejZrGNhxuduNYiwdv6I9Heht2iw4761ux7YtmBGUVxQ4jLl1Sgakl\nyXe4UjUGq1FCYZ6RuspjnEkvwZhgKq3NrMNXpuXji4Md2HeiB7Mn22Oe1+dUuxdlGdhRbyJijMHt\nC8HjV+ALKpH0UrxZasMVlHuDQndvUOj92eUdvBLfoBOglwRYTRJ0UvhnncRDLwrQ9f0sCb3H+NO3\n9TvOc1zvVNze6bgqi5qiazTq0eP2997eN323388aw/xp+Wm9Bn0oWAyDIPCYOzUfc6fmo9MVwK59\n7dh9oB2f7G3BJ3tbYDKI8AUUGPUCvnFOBaornUk/+FWVwWgQ4cwz0HTKccSZZ8CxFk/c3sW580vw\nxcEObK89lTRYBGUNHT0BFOTF3p6VAP6ggh5fCP7eoozhKasjDxCBkIITbR60dwfQmiQoWE0SppfZ\n4LQb4LQbw//lGbJS4NNhN0d2y4wn1uy7dKBgMYAo8CgvsuKQX0YgpMT9EOiTbzPga4sn4asLy9B4\nLNzbONHmxeIznPjqgnKYDIkvsaYy6CQeJQ4TVZMdhyRRQJ5ZB7c/FDPNVOQwYka5DQebXDjR5oks\ntIyF44FuTxAGnQBzkh36comsqOjxyPAGZaiKBj7BuqWh8AcV7D3cid0HOnCyffAHcCQo5BngdGQ3\nKIxFufmvTsJm1qHcaYasqOj2BOHxK2CMJewdiAKPedPyMS/FLqCmMQgCj6J8Ayy0Peq4lp9ngCdB\nNdnz5pfgYJML22tbsPLCxGkmQeDQ2u3DJCm3F+xpjMHtDcHjlxHoV3Az0b4iKT2uxnDwpAtfHGhH\n47FuqBoDx4WnzRdY9XA6jCjMC/cYMvUNfbyiq5GAJApw2k0ozAvnR11eGUE5dqXYVIUL0XHItxlg\nTzLQTcYHnuPgSDCVdmqJFaUFJtQf7UKnK4B8W+I0E8dxaO7wYXJR7i3Y8wVkuLwyfEE5Uh5jJO+3\nPm3dfnxxoAN7DnZEAnthngELZhXiK9PzUVHmSJreyXUULFLAcRxsZj1sZj2CsoJudwjegDzkWi+q\nxpBn0iM/T0+zXiaYRFNpOY7DufNK8Jdth/BJXQu+cc6UpI+narmzYC+cZgrCG1Cgqgy8kJ51ELHS\nTAadgMWznThzZgHKCs05F4xHgoLFEOklEcX5IjTG4PKE0OMLRfKo8agqg9koojDPAFHI3dTCRFdo\nN+BknKm0c6c68E6NDrv3d+CrC8pgSlJEkOM4eH0yuqXghO2BevwhdLtDCISUyKLFjKWZym04c2Yh\nZk+2x1wgOdrC1WjDU+Z5jktL0cF0o2AxTDzHwW7Vw27VwxeU0eMOhafw9XuxqyqDQS+gtMBIJTty\ngFEvwWQQEYwxlZbnOZwzrxhv7jyO93efxNeXVCT9MOAFDp2uAIy6ibNgT9MYutxBuP0haFp4HDAd\nH97x0kxnzixA1YwCWE2ZHxdUVS1cTpzjwIFFpvJyvR/+fO/K8b4V5ALHgecBDuFUm8jz4PlwBkJR\nw8FD0/r/H9DreIg83xtYoo9x4MDxp0uVp9vEeAWOMpNegkkvQdU0dLlC8ARCEDgORYVGmPQ0qyWX\nFOYZcLzFE/Mb8sJZhfisoQ2fNbTBbJCwfEFZ0sfj+xbsFVnH9bqboKyi2x2EJyCD59JTckPVNOw9\n3IWd9a1ZTzOpmgbGOOjE3vUSIg+jQYQk8JGgkAlOpxWGAY/dt4hX1cKl09O91qQPBYs0EngehXYD\nCkHz5HOVJAqwxZlKq5MErL20Ev/vHw3YuvskJJHHefNLUnrc5g4vysfhgj2XN4QTrR4EZCVSomKk\nZEXD7gPt+PjLU+jxhjKeZtK08IexKHDQSwIkUQhvcawXxsTYY6TnwnOQMlgfl4IFIWlWkGeAJxB7\nKq3NrMPaS2fj//2jAW9/dgKSyOOsfvusxxOU1XGzYE9jDF2ucKrJlmeComlxNwcbimBIxWeNrfhk\nbwu8AQWiwOGsM4pw7vzitI3rMBZOAUkiD50oQCcKMOh5mPTSuO7ZpQMFC0LSjOM4FNj0aOsOxPyA\ncVj1WHvpbLzwjwb845NjkAQeC2YVJnxMnufG/IK9WKkmIQ3fvH0BGTvqW/FpfSsCIRU6icf5XynB\nkrnFsKThWmgqg8BzMBskGPXhTcxS3TI5l1CwICQDrCY9ejyh8B7MMRTmGXDdJZX4rzcb8fePj0AS\n+aQLOgWBQ0tXeMHeWOLxh9DjkeEPyWlLNQHhFNb2vaewa187ZEWDSS/iwupynDXbmZZV1KrKoJcE\nOPL0mFqeh7Y2dxpaPXFRsCAkQwrzjGhq98ZdVFacb8K1Kyqx6c19+Ou2wxAFHrMrEteP4nkOpzq8\nKCvJy0STU9ZXgsMTlKGpWnhWUxpSTQDQ6Qrgoy9P4YuDHdA0BptJwkXV5aiuLEzLqnZVYTDoRRQ5\ndDQBZQgoWBCSIQa9CJNRRDAUuyotAJQVmrH6azPxp3/uxyvvH8Sqi2diRnniQKBqDAdOdCPgC8Gk\nF2ExSVkZaA3JKlxeGf6gjKCiRoJDunL5LZ0+fPjlKdQd6YyU6D/vK6Womp4PIQ2BSFUZDDoRxQ4d\njBQkhoyCBSEZ5Mwz4GiLJ2FqpqLYimsumomX3t6Pze8exLUrZmFKgnL2HMeBA4dASIE/KKOt2w+D\nToBBJ8JmltJaUyocIMJriEL9AkS6ehEAcLzVgw/3NGP/iR4AQEm+ERdUleKMCkdaApGiajDpJeQ7\n9DlbBDAd6MoRkkGiIMBu1sPlCyac8z+9zIaVF87AlvcO4qW39+O6SysTVqjtE66dBMiqBtkfQpcn\nAEkMD9KaDQJMemnIaw2CshLZTEhWtEgaLZ0BgjGG/Sd6sL32FI62eAAAk4ssuKCqFDPLbWlZH6Gq\nDCaDhNICHfQSfdSNFF1BQjIs36aH2z94X4SBKifb8e1l0/HK1oN48Z/7cf2ls1FSMLTaUKLAgzEG\nX0CG2xcEz3Ew6EQY9SKsJinuLJ+grPQW8FMgyxrE3h3m0lHEL/p5VOze345P61vR6Q4CAGaU23BB\nVSmmFCffHCwVispgMUhwFOipckIaUbAgJMOSTaXtb85UB65Qp+G1Dw7jj2/tw3e/PhvOFPZ5j6Uv\nMARlFYGQgvaeAPQSD6MuPM4BAG5fOEAosnZ6r+oMbEXa6Qrg0/pWfH6gHSE5vMp4wcwCnD23GCX5\n6SmWGK7BJqHAps/p8u6ZQsGCkCxINpW2v6oZBZAVDf+z/Sg2vbkP3/v67KRlzZMJ7ygXHhz3BGT0\neEMAO71HdSb2qmaMYd+xLrzz6VHsOx4ej7AYJZw3vwSLZjthTlJMMVV9WxE7rBQkMimrwSIQCGD9\n+vXo6OiA2WzGY489hvz86LnlTz31FN5//32Iooh77rkHVVVV2Lt3L2655RZMnToVALB69Wp84xvf\nyGbTCRkxp92I422elHL/i2Y7ISsa3vr0eCRg5KWx+my600v9yYqGLw91YGddK1q7/QDCs76WzC3C\n3CmOtMxsAk4X6iy3GylIZEFWg8VLL72EyspK3H777fif//kfbNiwAffee2/k+N69e7Fz5078+c9/\nRnNzM26//Xa8+uqrqKurw7/+67/ihhtuyGZzCUkrvU6E2SglnErb3znziiGrGt7b1YRNb4ZTUtmo\nnjpcLm8Inza0Yte+NviDKniOw8JKJxbOLMCkovQtJGSMgeN5lOQbx+xq9okoq8GipqYGP/jBDwAA\ny5Ytw4YNGwYdv+CCC8BxHMrKyqCqKjo7O1FbW4vDhw/jnXfewZQpU3DPPffAYhlbq1gJSYUzz4Bj\nLZ6Up4QurSqFrKj4cM+p8BjGZbOT7oWRTYwxnGjzYkddC+qPdoExwKgXcUFVCRbPLsKU8vTuQKdq\nDHazHvk2/Zjb72Giy1iw+POf/4wXXngh6raCggJYreEZD2azGW539PJ6j8cDu/30Cta+c6qqqrBy\n5UrMnz8fv//97/H000/jrrvuivvcDocJ4gi7pU5nemZmZBq1M72y0c78fCuOt6ReWuKqCyvBCwK2\nfd6El945iB9++0wAgMNuzlQTkwqEFNQe7MC23U2Rf0tpoRnLFpSj+owi6Pq9/9LRTlXTYDZIKCkY\n+Xs7HnqNJpaxYLFy5UqsXLky6rbbbrsNXm/4W4bX64XNZos6brFYIsf7zrFarVixYkXk3BUrVuCh\nhx5K+NxdXb4Rtd3ptI6LOjHUzvTKZjutOh5N7R4oqpbSN+TlVSXweIPYta8dT7+6G9/9xlwISO2+\n6aBpDM2dPhxq6sHBky6caPVC691CdvZkO86eW4SpJdbwDn+eAPrexQ67eUQ9C01jEHkOhQ4j9PzI\n39vx0Gv09OPHk9U0VHV1NbZu3Yqqqips27YNixYtGnT817/+Nb7//e/j1KlT0DQN+fn5WLlyJe67\n7z5UVVVh+/btmDdvXjabTUja8TyHSU4LTnX6EAiq4JKM+XIch385d0rv4HEnHnnhUxj1IsqdZkxy\nmlFeGP4vnSuUezxBHDrpwsGTLhxudsEfPD3WUlZoxowyGxbMKoTDmpltXxljyLcaYM/Q45OhyWqw\nWL16Ne666y6sXr0akiTh8ccfBwD86le/wmWXXYaqqiosXrwY11xzDTRNw/333w8AeOCBB/DQQw9B\nkiQUFhYm7VkQMh5wHIfSAjPau/3o8YaSzlDiOA5XXDANFcVWNHf6caipGwdO9OBAb5kMIFzNNhxA\nLCh3mlFkN6Y8PhKSVRw55cahky4cOulCe08gcsxm1uGMCgdmlNswtcQGkyFzHx2KqsFilFBkN+X8\nHhJjCccYy9SWraNmpN006pKmF7UzuR5vEO09gZTLe/eld7x+GSfavWhq8+BEmxcn270IyVrkPEnk\nUVZgQrnTEu6BOM2RGVWMMTR3+CK9h+OtHmi960AkkcfUEitmlNswvSwPBcMcUB5KGoppgCRycNqN\nWd9znF6jpx8/HlqUR8gYkGfWQxR4tHb6k6ak+jMbJcyebMfsyeGJIZrG0N4TiASPpjYvjrZ4IvWX\nws+lQ2GeASc7fPAHlcjtZQUmTO8NDpOd5rSth0gm/H2VQ75Nn9a1JCS9KFgQMkaYDRLKnDyaO4Y/\nIMzzHIocRhQ5jFhY6QQQ3o70ZIc3Ejya2jw4eNIFm0nC7FmFmFFmw7RS66hMyVVVBqtJQqHdOCb2\nsybxUbAgZAzRSwImOc042e6DqqVntpNeJ2BaqQ3TSsMzChlj8AdVGPXCqKxVYIyBsXDpj3ybHqJA\nq6/HAwoWhIwxoiBgcpEFzR0+BEJK2gd5OY7L6AB1PJrGwHMcbCY9HDY99STGGQoWhIxBHMehrNCM\n9m4fXF4ZfAZrOWWapjGIAg+HTQ+bWUcrr8cpChaEjGGFdhNEIYgOd+ozpcYKVWWQRB5FDiMsxrFb\n04qkJjvTHQghw2a36lHiMEHTkp87Figqg14UUF5oxpRSGwWKCYJ6FoSMA2ajhHKBQ3OHDxiDHQzG\nGDQNsJpoX4mJioIFIeOEXidiUpEZTe1ejJW1tH1rJKzGcCVYWnE9cVGwIGQcCc+UskLQSfD7ggiE\nVGgqy8hOd/GoKgPHhaf5mg0S8iw0aJ0LKFgQMs7wHIdCuxFMDq++DskKPH6ld6/t9AYPxhhUjUHk\neeh1AnSiALNRhF4anTUaZPRQsCBknNNJIvKl02/lkKzC45cjwUNVGcQUg4emhccedBIPnU6AURJg\nNkopbQVLJjYKFoRMMDpJQL50eoA5UfDQVAb0ppR0kgCjXoDJINGCOTIIBQtCJrh4wYMxwGQUYaCU\nEkkBBQtCcszA4EFIKigRSQghJCkKFoQQQpKiYEEIISQpChaEEEKSomBBCCEkKQoWhBBCkqJgQQgh\nJCkKFoQQQpLi2FipdUwIIWTMop4FIYSQpChYEEIISYqCBSGEkKQoWBBCCEmKggUhhJCkKFgQQghJ\nioIFIYSQpHJ28yNN0/DAAw+gsbEROp0ODz/8MKZMmRI5vmXLFrz88ssQRRG33norLrzwwlFppyzL\nuOeee9DU1IRQKIRbb70VF198ceT4xo0b8corryA/Px8A8POf/xzTp08flbYCwJVXXgmr1QoAmDRp\nEn75y19Gjo2Va/qXv/wFf/3rXwEAwWAQ9fX1+Oijj2Cz2QAADz/8MHbt2gWz2QwA2LBhQ+TflC1f\nfPEFfvOb32DTpk04evQofvrTn4LjOMyaNQs/+9nPwPOnv+cFAgGsX78eHR0dMJvNeOyxxyKvh2y2\ns76+Hg899BAEQYBOp8Njjz2GwsLCqPMTvT6y2da9e/filltuwdSpUwEAq1evxje+8Y3IuWPlmt55\n551ob28HADQ1NeHMM8/Eb3/728i5jDEsW7Ys8u9YsGAB1q1bl5mGsRz15ptvsrvuuosxxtjnn3/O\nbrnllsix1tZWdvnll7NgMMhcLlfk59HwyiuvsIcffpgxxlhnZydbvnx51PF169axL7/8chRaNlgg\nEGBXXHFFzGNj6Zr298ADD7CXX3456rZVq1axjo6OUWoRY8899xy7/PLL2cqVKxljjN18883sk08+\nYYwxdt9997G33nor6vw//OEP7Mknn2SMMfbf//3f7KGHHhqVdl577bWsrq6OMcbYSy+9xB555JGo\n8xO9PjJtYFu3bNnCnn/++bjnj5Vr2qe7u5t961vfYi0tLVG3HzlyhN18881ZaVvOpqFqamqwdOlS\nAOFoXFtbGzm2Z88eLFy4EDqdDlarFRUVFWhoaBiVdl522WX48Y9/HPldEKK3w9y7dy+ee+45rF69\nGs8++2y2mxeloaEBfr8fN9xwA66//nrs3r07cmwsXdM+X375JQ4cOIBrrrkmcpumaTh69Cjuv/9+\nrFq1Cq+88krW21VRUYHf/e53kd/37t2Ls88+GwCwbNkyfPzxx1Hn938tL1u2DNu3bx+Vdj7xxBOY\nM2cOAEBVVej1+qjzE70+st3W2tpavP/++7j22mtxzz33wOPxRJ0/Vq5pn9/97ne47rrrUFRUFHX7\n3r170dLSgrVr1+LGG2/EoUOHMta2nA0WHo8HFosl8rsgCFAUJXKsf9rBbDYPejFli9lshsVigcfj\nwY9+9CPccccdUcf/5V/+BQ888ABeeOEF1NTU4L333huVdgKAwWDA97//fTz//PP4+c9/jn//938f\nk9e0z7PPPosf/vCHUbf5fD5cd911+PWvf43//M//xIsvvpj1oHbppZdCFE9niBlj4DgOQPi6ud3u\nqDUgkGEAAAauSURBVPP7X9tYx7PVzr4Psl27duGPf/wjvve970Wdn+j1ke22VlVV4Sc/+Qn+9Kc/\nYfLkyXj66aejzh8r1xQAOjo6sH37dlx11VWDznc6nbjpppuwadMm3HzzzVi/fn3G2pazwcJiscDr\n9UZ+1zQt8kcaeMzr9WY9Z91fc3Mzrr/+elxxxRX45je/GbmdMYbvfve7yM/Ph06nw/Lly1FXVzdq\n7Zw2bRq+9a1vgeM4TJs2DXa7HW1tbQDG3jV1uVw4dOgQzjnnnKjbjUYjrr/+ehiNRlgsFpxzzjmj\n3gPqPz7h9XojYyt9+l/bWMez6X//93/xs5/9DM8999ygHH+i10e2rVixAvPnz4/8PPB9M5au6Rtv\nvIHLL798UFYBAObPnx8Zw1y8eDFaWlrAMlTuL2eDRXV1NbZt2wYA2L17NyorKyPHqqqqUFNTg2Aw\nCLfbjYMHD0Ydz6b29nbccMMNWL9+Pb7zne9EHfN4PLj88svh9XrBGMOOHTsib4DR8Morr+DRRx8F\nALS0tMDj8cDpdAIYW9cUAD799FOcd955g24/cuQI1qxZA1VVIcsydu3ahXnz5o1CC0+bO3cuduzY\nAQDYtm0bFi9eHHW8uroaW7dujRxftGhR1tsIAH/729/wxz/+EZs2bcLkyZMHHU/0+si273//+9iz\nZw8AYPv27YP+xmPlmgLh9i1btizmsaeeegovvPACgHCar6ysLNILTbecnQ21YsUKfPTRR1i1ahUY\nY3jkkUewceNGVFRU4OKLL8batWuxZs0aMMZw5513Dsq/ZsszzzwDl8uFDRs2YMOGDQCAlStXwu/3\n45prrsGdd96J66+/HjqdDueeey6WL18+Ku0EgO985zu4++67sXr1anAch0ceeQSbNm0ac9cUAA4f\nPoxJkyZFfu//t//mN7+Jq6++GpIk4YorrsCsWbNGrZ0AcNddd+G+++7DE088genTp+PSSy8FANxw\nww145plnsHr1atx1111YvXo1JEnC448/nvU2qqqKX/ziFygtLcXtt98OADjrrLPwox/9CD/5yU9w\nxx13xHx9DEy5ZMsDDzyAhx56CJIkobCwEA899BCAsXVN+xw+fHhQ8O1r50033YT169dj69atEAQh\no7PLqEQ5IYSQpHI2DUUIISR1FCwIIYQkRcGCEEJIUhQsCCGEJEXBghBCSFIULAiJwe1244c//CFa\nWlpw4403jkobrrjiioTHjx8/jnvuuSdLrSG5joIFITH09PSgvr4excXF+I//+I9RacPf/va3hMdP\nnjyJ48ePZ6k1JNfROgtCYrjlllvw4YcfYvny5aivr8e7776Ln/70pzAajairq4PL5cK//du/4W9/\n+xsaGhrwta99DT/96U+hqip+9atfYefOnVBVFVdddRW+973vYceOHdiwYQNEUcSJEydQVVWFX/zi\nF9DpdHj11VexceNGcByHefPm4b777oPZbMbs2bPR2NiI3/3ud2hpacHRo0fR1NSElStX4tZbb8U3\nv/lNnDhxAldeeSV+9rOfjfYlIxMc9SwIieHee+9FUVER7r777qjbW1tbsXnzZtx00024++678fOf\n/xyvvfYatmzZArfbjS1btgAA/vrXv+KVV17BO++8g88++wwA8Pnnn+P//t//izfeeAPBYBB/+tOf\n0NjYiGeeeQabNm3C3//+dxiNRjz11FOD2tPY2Ijnn38ef/7zn/Hcc8/B5XLh3nvvxfz58ylQkKzI\n2XIfhAxHX42esrIyzJo1CwUFBQAAu92Onp4ebN++HfX19fjkk08AhKvYNjY2YubMmTjrrLMiG1Nd\nccUV2LJlCyRJwoUXXgiHwwEAuOaaawYFKABYsmQJdDodCgoKYLfbs1YFlZA+FCwIGQJJkiI/x6pr\npKoq1q9fj0suuQQA0NnZCbPZjN27d0dVDWWMQRAEaJoWdX/GWMyy3f3raHEcl7HKooTEQ2koQmIQ\nRXFYey2cc8452LJlC2RZhtfrxZo1ayKb/NTU1KClpQWapuG1117DsmXLcPbZZ+Pdd99Fd3c3gPDW\ns0uWLEnpufrvwULI/9/eHZtACARRGH49LCgYCSaWsmymIpgY24GVbAdbzbazNnDRXXLeDQjeJf9X\nwUT7eMPC3I2wAE4459Q0zelK6JtlWdS2rYZh0DRNGsfx9fhXVaV93xVCUF3XmudZfd9r2zat6yrv\nvUopbweuPum6Tsdx3HrwBnjiNxTwAzlnxRiVUvr3KMAlNAsAgIlmAQAw0SwAACbCAgBgIiwAACbC\nAgBgIiwAAKYHrgWGAnSylxYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d35d048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fmri = sns.load_dataset(\"fmri\")\n",
"sns.lineplot(x=\"timepoint\", y=\"signal\", data=fmri);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"The confidence intervals are computed using bootstrapping, which can be time-intensive for larger datasets. It's therefore possible to disable them:"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ufzQI9feiR7CezNwSqmpMeLrb/UdBCJdn95+abdu2UVtby6ZNm0hLS2PNmjW88sorQH1x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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d44b390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"timepoint\", y=\"signal\", data=fmri, ci=None);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Another good option, especially with larger data, is to represent the spread of the distribution at each timepoint by plotting the standard deviation instead of a confidence interval:"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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LSPj6SBfqGrtwsMmJ7btbsH13CzKMGsyelIsLZhQmJGkojMHtC8JsSL5qMkLUQskiDfkC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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d880828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"timepoint\", y=\"signal\", data=fmri, ci=\"sd\");"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"To turn off aggregation altogether, set the ``estimator`` parameter to ``None``."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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bwhEFDX6tZanaKpAcNiOO1gR0ezrVSvmRJuw4WI/aZvbcDwAoCrD9APuY2M+2\nHcOOg/qPmdVCa3sYigJs2l3N3VQY74xft4393jMYjHqncMmMHEgGER98Vclcc98ZjuKLHSe47Li4\nJAuCAHy4+eigjDmdVpAGQdA3r6CHjDZ/WWpXAxvDTkGVyfCzlqWyVSDlaKxAGpeZgkhU4R6Dysue\nCv4KuVIOyZWVH+zFH/+5m7mKLqoo+O+/bcP/W3+I2YY4HeEoNu7mK2mfOcEDm1nC5zuOD6vy1FHv\nFJw2E86f7ENNYxvTDdMgCjCIAj4treK6mac7rSguTEfFCf+gxI8dNhMKsp3YX9Ws2xZ+OJSl8khd\n8OwygO4nvRqNlUHxgTsDrUAal5UCADg4xP0K5UeauNfYeaiBOUSqKAr8rZ3Mu43W9jC2H6jHX/5d\npkvVz7rSY1x/8ybJgPOnZKAl2IFt+4d2B5TIqHcKAHDFrFwAwAdfai9PlQwiZk7w4Hh9K/Zxlnxe\nOjMHAPDx5sFJOJcUpnNv4RNxymY47SYcqRm6CiSevECKzQRREJh2GUB3A5vWnYLZaICnSyZjIDeV\n/LhTGOJk857KRu5dbKgzgjLOHcfn2/nCLf7WTmzZy1/1c6QmwC31Mnd6FgBg7bbB+ZtngZwCgOx0\nO6aOS8Peo804xPCHd3FxNgDgU87qoUl5bmSk2vBVeTVagvon5AZDIC8vw4GGlhACbWzxVd5eBYc9\ndmNnedoXRQFOjult3RLa2h1ajkdGoK0TzQP4PXtdVshW45CXpTa0hLgqxeLwhJCA2EPNQD6307Fu\nG1/VT3qXTMo6zuqhHK+MgqwU7DrYgDoOcUg9IafQxRWzxgAA3mfYLUzIdSEj1Yavy2uZb45ArKLl\n0hnZCEcUfLZd/1K1zDQbvG5r1xZenxhmrq97ZjML8T8u1puNKHTd2Fm7mrucAssTsN0icZSlakg2\nCwLyM1NQ19yOFo2hv0+2HMXzb21nmk7XGzwhpLQUC2SrEVv313F1aEcVBRt28uXweKt+Jo1NRWqK\nGRt3V3Nrl82ZngUF/DsgvSCn0MWkPDdyPDK+Lq/V7LEFQcDc4iyEI1Gs38H3i71waibMJgM+2Vql\n2x9ynHh3c6gjgj1H9JHVyOVsYjMbDXDKJu4JbE2BDqYbjUs2IxxRmJy5IAjwpfKVpR6tGWCyWc0r\naNstbDtQj9L9dbolqXmuG1EEphekoTnQwVyxlpFqg2QQsH7HceZQVlyR9zOOm7AoCrhoaibaOyL4\nspwv4Tx9SuXOAAAgAElEQVTrLB8sJgM+235c9795FsgpdCEIAq6cNQZRRcGHX2tvZrtwaiYkg4hP\nOZNPVrOEC6ZkoKElNCjJJ727m3Pjchcn+JLNDS0h5uovt2xGJKog0Kr9xs6TqAZieYVwRNGulqpW\nIGlNNrOFkPZwJolNRhGy1YjyI01c13fxeA8AMHfyylYjigvTUVUXxGFGxzK1MD1W9cN5E75oWiYE\n8IeizCYDzpucgUZ/SFc1Y1bIKSRw7iQfnLIJ67YdQ6vGunnZasQ5Ez2obmjlrtK4tCSWoxgMPaTC\nHCdsZgml+/XpbvY4LbCaJRyv5xjN6bQiqmi/scbhGcvZPb2NLUbtZSxLjQ/cGahTyM+MOQVWxdS9\nlXzXpAABE3NdaPTz5RUm57shGUSuvMJF0zIBsD/pm40GnD85A83BDmznePBKd1oxeVwqDlS1cM/d\njieceXMUekBOIQHJIOLymTlo74gwef+5XQnntZwJ52yPjIm5LpRVNGrqeh0IkkHEtII0NLSEdBkL\nKQgC8nwyIlxzFbryCoyJtrhcBUvCWJ3JwJpsdrPNaxZFAZnpdhyrax3Q06psNcLrtuIQo2LqvqNN\n3EqrE/PcAPjyChaThElj3ThaG2R2LpPzU+GUTdi0u5q5oW9OcddNmPMpf860+Dp8YeO8DAfyMhzY\ndqCOedeqF+QUTmJucTZMRhEfbq7U3FAyPseJrHQ7Nu+p5a4eunRGrDz1ky36l6rpXYUUb2JjhbcC\niaurmWOXAQBeRgltIJZsDkeiA65eGpeVglZGxdRge5hbJn5Cbswp8Oaj4rPDWXcLBlHEBVMy0BYK\nYwtjGGqMV0Z+pgPbD9Yz71CB2M+SYjPii538iqdzp2dBUYDPB6HIRAtJdwrRaBTLli3DggULsGTJ\nElRUVPQ4vmbNGtxwww24+eab8cknnyTbPMhWI2ZPzUJDS0jz/NN4wjkSVbgTziVF6XA7zFi/87ju\nM3qnjkuFQRR0k7zI080p8A3bYepq1mmnwHKjVpPNGjqbAY68AmcIKSvNBodNh7xC10MJj0LoRVNj\nIaT1HMniOV03YZ6/Vckg4oKpmQi2h7l7H86d5IPJKGLdtuNDOj8j6U7hww8/REdHB1avXo2lS5fi\n6aefVo/V1tZi5cqVWLVqFV599VU899xz6OhIvoDWvHNyIAD44MtKzRf/BVMyYJREfFpaxfWLNYgi\nLi7JRntHBJ/onFuwWYwoGuPCoeN+Xbaq8bJUVvTqamYKH3HuFGSrEXaLhBoG27srkAaabHYCYG9i\n28uZ6xIEARNy3Wj0h5h+3jix2eEp2FvZzKwZlplmR2G2E7sPN6KeUZNp1lk+mI2xqh+ev9U50/UJ\nRVnNEs49y4f6lnbsPjR0CWcp2W+4efNmzJ49GwBQXFyMnTt3qse2b9+OkpISmEwmmEwm5Obmory8\nHNOmTetzPbfbBkkyaLbDZIr96OnpMizmnh+Dx+PAeVMzsWHHcdT4OzCloPeh6UZJhCDEXq+eC2BO\nSTY++qoSxxrbUTLBe1o7DKIAg0HssUac/7h0PP5n/SH8v/UHcfUFYyGcZkC80WjodY2+uKg4G2UV\njThUE8AFXXFRs1nStEac1FQ7TJKIjq7ts9Y10tJkGCUR/q7qIbvNpGkNuyOWkwiGIkhJif3bIZv7\nXcPjcUBRFJhNBgTaw+rr5S5H4XRaBmRHtlfGwaoWpKbJMIix35HNFstzuFy2PteYbjYCAGpb2nt9\njcUSO56WaocnzQ6X2wbJIKKyJjDgzyd+nTtsJuyrakZ6unza66g3Eq/zsydl4OvyGlQ1tGNKke+U\n1/Zl18nX+UXF2Tj0rzIcrgni4pljBm5LwnV+1QX5ePFvpdh2qAEL5k3o91xLQo9HfI05Jdn4vy+P\nDOhvFQDauyJEVotRXcPjcWDyuDTsOliPsCAiM91+2jWOdzmx3q7z6y4uxGfbj2NjeQ0uOXdsn59n\nSkqs4GAg17lWku4UAoEAZLn7ydJgMCAcDkOSJAQCATgc3T+g3W5HIHD6p6hGxgaUjo5YdVFdXQBm\n06lO5eLpMaew+oM98N1k7nWNznAUigLU1vYsjTtvohcffVWJd9fuR05XzLkvIlEFQiR6yhpxzp7o\nxcZd1fjs6yM4a2xqn+t0dkb6XKM3CjJjn/PnW6tQ1FXuGAqFNa2RSLZHVrvBWdZId1pUWe9ga4fm\nNcwmA6rrW9HSFR/2B0KnXcPjcajHXXYT6hpb1a8DXTuO5ub2AdmRKpuxNxLFngO16q6ntesG1NTU\nitpaY6/nKYoC2WrEgaNNvb5Pe9dTdH1DEIauZHSuT8ahYy2oOtYEk7H/h6H4dV6YnYKt++qwrbwa\n2f3ctE4m8TrP7rqev959HDMKel6PiZ/pyZx8nRdlxa6/dVuOYnKua+C2JFznZ+WkwCSJeH/jYVw8\nPRNiP84usRclvsasCR7835dH8N66A/3+rQJAQ0Ms1NfW3tnjZ71gkg+7Dtbj3U/34ca5Baddo6lr\nl9Xbde62SsjxyNi08wQa/e0I97GTGuh1fjr6ciZJDx/JsoxgsDuGGo1GIUlSr8eCwWAPJ5FMCrOd\nGJeVgm3763BCY7x4XFYKcjwySvfVoZkxVh0nnnD+WOeEs9dlRXa6HbsON+giyRwfz8lK/GbKils2\nM+cFXLIZLa2dzEqVXsYpbIIgYIw3NnCnvWNgJdD5ccVUjUnjeJJ4L2eSOJ5X2MOZV8hKt8PjsmDH\nwXrmBK3VLGHmBC9qm9qxjzFfMi4rBdkeO7burdXcLZ5IouIpT+9DYl7yo68qmdfhIelOYcaMGVi3\nbh0AoLS0FEVFReqxadOmYfPmzQiFQvD7/Thw4ECP48kk1syWCwXABxp/OYIg4OKS2C+Wp2sSAAqy\nUlCQ48SWfbVcVRK9Mb0wHZ3hKLdAGcCfV4jLXbDidpgRaGO7scdzEs2MvQpxDSQWuYvsLrmLqgGW\nHrM2sU0YE3sa500265VXEAQBJeM9aO+IYE8l+/UX71lglYgQBAFzpsX+Vnnk703x3odAB7fg5HmT\nfTBKIj7YVDEoMvr9kXSnMG/ePJhMJixcuBC/+MUv8NOf/hQrVqzARx99BI/HgyVLlmDx4sW4/fbb\ncf/998Ns7j10kwxmFKUjLcWCL3Yc1yw3fd6kDJiMItaWHmPu1AViF+01F+RDUfgF906GtzQwkfyM\n2M3KaGS7pHh3Ci4OtVSekZ5AQgNbA3uyuWqgFUiMMtq+VCtS7CbuJ3wAOKsr3MPbJd1dhcR+/U3I\ndSHdacFXe2o0jTdN5PwpGZAMIj7bzqdGoPY+cDag2S1GnDPRi+N1QV3kyrWSdKcgiiKeeOIJrFq1\nCqtXr0ZBQQH+8z//E5dddhkA4Oabb8bf//53vP3227jyyiuTbV4PDKKIeeeMQUc4ik81jty0WSSc\nNylWSbCTs5Jgzowc2C0S1pYe003IDoiVODpsRm77gFj46O7rJuP6OYVM53M7BY55yzwjPQH2BjZA\newUSq2KqAAETxrjQHOxg6qlIJB6KKufcYY4f44TdInHNDhcFARdOzURHZxRfl7NNLZStRl3k7/Xq\nfQC6K5p4G2FZoOa1fpg9LRNWs4SPtlRpHg6iV4ez2WjA7OlZ8Ld2Ml/4vSGKAqYXpCOk05jHWWf5\n4HGz3dz1yCkAbHIVvMN24mWpLDfb7K6BOwOVuxA4FFMndD3h80peZKbZkGIzovwI33wFgxjrrm/0\nh7gE+y6cmgEBwOcc/QZ6lZXq0fsAxBphx/hkbNlbm/S51uQU+sFqljC3OAstwQ5s3KVNDTE/MwV5\nPge27a/n7ge4pCQbAoCPt+jbsxDvbh5q9MgpAKz6R+wyGXG8bhtqm9o0JxnNJgM8roEP3AF0yCtw\nJpvjeYWmQAfTLIlESjgF8oCYBtHEPDf2HW1maiIEYg7T67Li6/IarmZRvXofBEHAFeeORTjCLxOu\nFXIKA+DymTkwiAI++Ep7M9vckixEFQWfcT6BeFxWTCtIw4FjLTh8Qr9hK3GBsqHGapbgsPVeujkQ\neHIKbo6O6Di+VCsiUQUNLdrXyPbYEWjrHLA0Src4nrbrICvdDtlqxJ5K/rzCxK5dRzmng5mcnwrJ\nIHDntdSEM+MTuigImD09k3v2stUsYdZZXtQ1t6PsMN9nc8nMHEgGAWu38eU6tDL0d4MRQGqKBedM\n9KKqLohdGuPv557lg9lkwNptx7i10gdjXKfFJOGsLqGzoYYnhMRTQeTkVEoFEkdzsucVKrXKaGvs\nbBYEAUVjXGhoCaGOsQs4TrcOEl8oymqWMDHPjSM1Aa7JYzOKPLCaDfhi5wnmwo4Lp8Z6HfQIIQHA\nWs51nLIZM4r0GfWrBXIKA+TKrjnOWiezWc0Szp/ki2mlH+BL6E7OT4XXbcXG3dVcE95OJl6FNNTw\nOIUUuwkCwLRlN0qxWQE8IT6uCiSvtoE7qmLqsRbNP293CGl45BWA2OxwAFzzQ8xGA2adFfs723WY\n7e/MJZsxvTANR6oDXLtxvXofgO68JK+j0gI5hQGSl+HAxFwXdh1u1Cw5PVenGc6iIODSGTkIR6Lc\n4ahEigvTYRAF2CxJb3DvAU9eQTKIcNhNzOe7ZDNzohlIrEBiU0sFoEmTn1UxVa9kc2JegbeaaboO\nAnlAt0gez1jL7oQz+xp69T4AsTCd123FV+U1zDpRWiGnoIErzontFj74SttuIS/DgfzMFOw4WM8s\n3hXnoqmx/odPtlZx9T8k4naYseyOczD/4tO35w82elUgMZ3rMCPUEWGudfepEtraw0c+tw1GSRyw\nWirArpia45FhM0tcDWNxuucr8K2VmmJBXoYDe440aR5ulci4rBRkptmwdR/7rPSp49LgdpixcdcJ\nrtnLevU+CIKAudOz0BmOai50YYWcggamFaYhI9WGjbuqNSc0Ly6OlarxbgNtFiPOn5yBuuZ27s7J\nRMZ4ZThs7E/aehCX4E5hfOKP5xXYzuWrQLJb2MtSRVFAVpodx+qDA3b0rIqpohjLK9Q2tXPX0k/U\nqYkNAErGpyMSVbDjIPs1LQgCLpqWiXBEwSbGZHHi7OWvOMq/ZasRZ+vQ+wAAF0zNhEEUsLa0KikJ\nZ3IKGhAFAVecMyamS6JRznrWWT5YzQas236MWWMnTrcekv7jOoeSvAwHnrzzXMzuqiTRSry0lO1c\nPSqQbKhjKEsFYiGkznB0wDuNMV4ZkkHQXIEEAEU6SV5kpNqQYjfpklfQa3b4BZMzIAoCV8/CbJ1m\nL8/WqffBaTeheHw6jtYGmWXTtUBOQZuKMC6YkgHZasSnW6s0CcmZTd3aKDwJNSB2QyjKcWLnoQbN\nYn3Dnex0O3OJrItjp+DibGADYsnmSFRBPVNZqja5C6MkYozXgcqagOamygk6PeELQmxuc7MOeYUx\nXhlpKRZsP1DP9dDklM2YOi4VFSf8zJPm0l1WTMpPxf6q5gFrUvVGPB/A2/sAAHN1ktAYCKPWKVxc\nko2bLh0P8wDkhxMxGQ24pCQbwfawKvU84PfUqcMZ6C5PHYxxnSMVnpwC71hOICHZzDKFzRtLNg+0\nsxmIxdAjUQUVGruBc30yLCYD904BSJC80KEhrnh8OtpCYe4kOG/PAhAbjQmAq6BDEATMnsbf+wAA\nk8amIt1pwZdl7BpPA2XUOoXiwnTcfs0kpnMvnZnD9DSb45VRmO3ErkMNzFPG4swo8sApm/D5juO6\nJZxHOjw7BR6ZjDg+N8+8Zm2jOQH2zmaDKKIwx4nqhlZuaXe98woAn0AeEKtmkq1GbNh1gnnXUTw+\nHQ6bEV/sPMGlN3aRTr0PYpeDCXVGmPMlA36vQV39DMVpN+H8yadOnRoIc4uzoIA/zigZRFxcnI22\nUBjkEmLwVh8BfDkFL0cDm9Nugmw1agp5sCqmAvpJaWek2uC0m1BewZ9XKBrjgtXMJ5AHxP42zp+c\nAX9rJ3OoVjKIuHBKJgJtnVylsk6deh8A4KJpWRAFgbsprj/IKTByxTkDHyGYyDkTvbBbJHy2/Th3\nwnlucZY6/pHg2ynINiMMosClfxQvS2XpVRAEATkeO2qb2gZcCul1WWG3SJp3CgAwYUxXR7Iu/Qox\n9VUtfRa9IRliAnn1Le2ae4FOJh5C4hGmmz09tsZazji+mg/g6H0AYg8u0wrSUHHCj4pqtmlrA4Gc\nAiPZHhlzpmdplogwGQ04f0oGWoId3Ntkl2zGzAkerjXOJOwWCUaJ7ZIWBQEu2cSVaLZbjJCtRuak\na45HhoKBD9wRBAH5WWyKqWMzHTBJIvbqEPaZ2JVX2KFDibReVUhjvDLyfA5sP1DPHCLLTLOjKMeJ\nsopGroFCU/L16X0Aumc28Kqwng5yChzc8f9NxH03TdN8XjzhrHVGQ2/Ey1OJ2E2Styy1OdDBFbrw\nuq1dZana11DlLrQkmxnF8SSDiIJsJ6rqgtzSzPFqpp2cN3Ig1jxmEAXuByYgtluIKgo2cDR9xW/C\nPAlnUYzlA3h7HwBg6rhUuB1m+FsHr7uZnMIQkJVuR9EYF8oqGrl/ueNznLj87Bzm2v4zDa4KJIcZ\nkagCP4eulC9elsrQuR4fzamtAqmriY0lhKRKXvA1V8XzCjsO8OUCgNhwqgm5LlSc8HM31507yQfJ\nEOtZYLVr5gQvrDrMXr5Ip94HgygO+t86OYUh4uKuJxDevIIgCFh8eZHaKDPa4epV0LMslXHgDjDw\nXgWAXTEVSEw26zFfwYVGf0iXvpn4jIVtnDsP2WpE8XgPjtUFceg4WwzebDTg/Mk+7tnL6U4rJnf1\nPhzj6H0AgNnTsrS2V2mCnMIQMXOCF7KVfX4A0TsuPSqQOBvYALYKJItJgsdl0bRT4FFMHZeVAsmg\nb15Bj9LU6YVpAICtOoSjZuvQszBH7Vngi+PrNd0tzWnBlHFpXGucDnIKQ4RREnHh1IyhNuOMg0v/\nSI+dQmpsp9DOmFDM8cjwt3aieYADdwB2xVSjZMC4rBRU1gS4FTgn6DR0B4g9Ved6ZZRXNHI3ak0e\nG4vBb9pdzdxvkOtzYGyGA9sO1HEVIsR7H3grqwDgilljIAoCvJwikr1BTmEIiUtqE/qR1RWCsTPI\ngHeP5WRPvHoZZ1THictdaOlXUCexMYaQFAD7dMgruB1mlB/hn+oGxG6g4YiieajVyYiigAumZKAt\nFMaWvez9BnrMXpYMIi6cqk8+YPLYVPx26RxMzk/VZb1EyCkMIRmpNlxzfh45Bx2Zkp+KJ789C2dP\n9Go+N56P4Hk6jZelsjKGpQKJsbMZSNBB0iGvMLUwHS3BDl3zCrwzFgCoN2KeOQvnTvLBZBTxdTmf\nPXomiY2SNomegUJOYYi5cW4Brj4vb6jNOGMQBAHZHhmioD0Vx5OPSMTHsVvIYahAyvU6IBkEJqdQ\nkO2EQRS49YYAYGpBrMegXIe8Qq5PhtthxvYD9dxjbDNSbSjMcXI1fFnNEmZN9HEXhmSm2VWV2uEK\nOQWC6MJqlmAx8T99xeUu2M61QjJoG7jDo5hqNhqQn5mCihMB7vj91K7Gsz065BXiAnnB9jB3aAvo\nnsrGQ7xngZe42J6JsdFysBmeVhHEEKHHboFnp2AQRWSl23CsLqipmohVMRWIaQ5FFQX7q/huvlnp\ndjhlk255hRKdupuBmLyMych3uyvISlFzVjycO9mH735z0rAtIyenQBAJ8FQvxfGm8iWbczwyOsNR\nTdIKuuQVdJmv4NYtrzAh1w2LyYCt+2q5nYzVLOGcCdrzTIkIgqCWlfIgCgLOm5QxbEvSySkQRAL6\n7BTYw0dAt4y2FoG5cRwVSIXZToiCoMvcZrU0tYJ/LaMkYsq4NNQ2tXM3fAHdInkM6SaVC6dmYGKu\nC5PH6l/1M1wgp0AQCbgc/HOqecJHQHeyuS008PyA1x1XTNUeArKaJeRlyDh83I+QhmmCvTFRHbrD\nn2wG9JuxAMTCZDfMGYdvzi5gXsNuMeLBxTPOaCFKcgoEkQCPdlIcG2dZarxXQQtxxdTaJu2KqUBM\nSjsSVXCAM6/gc1vhkk3Yo8PcZiAmkCcKgi55BUEQcO0FYzF5ELuBzwTIKRBEArqVpXLkFVyyicmp\nsCqmAkCR3nmF1k7N42p7Q7YaUTTGiYPHWpiUZwntkFMgiAT0SDQDgNfFnleID9zRCo9ialGOEwL4\nh+4AiYlr/rwCABSPP3NDNcMRcgoEkYBeO4Xi8elwySZm2QuWEBKPYqrNYsQYr4yDx1o09zqcjN55\nheKuvAKRHMgpEEQCTtmkiyzxORO9eO6ei5BiZ0tcs+wUZKsRXldMMZUlnl+U60I4EmXaaSTi1Tmv\n4HVZ1VkTxOBDToEgEpAMIhyMN3I9yWHYKQAJiqkM8xz0nNsczysc0yGvAHRXIRGDDzkFgjgJnpGe\nesHaOZuvNrFpryIqGhPLSegxE0H3vEIh5RWSBTkFgjgJPcpSebGaJaQ7LZrP4+lsdthMyE6340BV\nM7fwm955hbGZDkwa68bEvOEtJncmoF10niDOcHhGeupJjkdGXXO7pic3HsVUIJZXqKoL4vBxPwpz\nnExrALG8gtth1i2vIAoCfrKwhHsdon9op0AQJzEcdgoAcM0FeZh/2Xikadgx8CimAvrPbfbrmFcg\nkgM5BYI4iWmFaSjKcWJshmNI7SjIcuK2qydB0CjWMy4zpph6hEExtdsp6Dm3WZ+8ApEcyCkQxEmM\nzUjBw7fO1PSEPpzgySs4ZTMyUm3Yd7SZe7iNnuJ4RPJIqlNob2/Hvffei8WLF+M73/kOGhpOnb/6\nzDPPYMGCBbjxxhuxZs2aZJpHEGcEPE1sQOxmHuqIMO00EvG6rOrcZmLkkFSn8Oabb6KoqAh//etf\ncf311+Pll1/ucXzjxo04cuQIVq9ejTfffBN/+MMf0NzMP3WJIEYTPIqpANRxkXroIE3IdSHQ1okm\nf4hrLSJ5JNUpbN68GbNnzwYAzJkzBxs2bOhxvKSkBMuXL1e/jkQikCQqkCIILSQqpvqZFFP16zGI\n5xVIym7kMGh33L/97W94/fXXe3wvLS0NDkcseWe32+H39xykbTabYTab0dnZiYcffhgLFiyA3X76\nJh632wZJYp+r6/EMbTJxoIwUO4GRY+uZbOfUQg92HmxAZU1sOE16ugyLeWB/7h6PAxlpNuyvakZq\nmgyjJEIQBmbHya+5oDgHf/pXOQDAYBCHzWc+XOzoj6Gwc9Ccwvz58zF//vwe37vnnnsQDMYu0mAw\niJSUlFPOa25uxn333YdZs2bhrrvu6vd9GhvZy908Hgdqa/39v3CIGSl2AiPH1jPdTp8zVlYbb0Kr\nqwvAbBr4w1NhlhOf7ziO0t3H0RmOQlHQrx292WpQFLgdZjT6Q4hEosPiMz/Tf/da1u+NpIaPZsyY\ngbVr1wIA1q1bh5kzZ/Y43t7ejjvuuAM33ngjfvCDHyTTNII4o8jPPPWBSwv6zm2mLuSRRFKdwqJF\ni7Bv3z4sWrQIq1evxj333AMAePbZZ7F9+3asWrUKlZWV+Nvf/oYlS5ZgyZIlqKysTKaJBHFG4LCZ\n4HWxD/op0rFfYUJXXoEYGSQ1i2u1WvH888+f8v0HH3wQADBt2jTccccdyTSJIM5YxmWloKZJu1oq\nAKQ7LUhNMWNvZRNSU/g6vGmnMLKg5jWCOEOJK6ayIAgCJoyJlZNWN7A5ljgelxVZ6fZhIx9CnB6q\n9ySIM5RxHE4BiIV9NuyqRqgzArORvcJPEAQ8fMsMiBrlOoihgZwCQZyh5HplGESBeeB9vF9BD2Sr\nUbe1iMGFwkcEcYZilAzI9cUmuLE8pHvdVjiHwcAhIrnQToEgzmAWXDoeR2sDMDGEf+J5hS/LagbB\nMmK4QjsFgjiDKRrjwqUzcpjP1zOERIwMyCkQBNEnRdRjMOogp0AQRJ9kpdngsBkBKhwaNVBOgSCI\nPhEEATdfUgh/a+dQm0IkCXIKBEGclgunZg61CUQSofARQRAEoUJOgSAIglAhp0AQBEGokFMgCIIg\nVMgpEARBECrkFAiCIAgVcgoEQRCECjkFgiAIQkVQFIVNbJ0gCII446CdAkEQBKFCToEgCIJQIadA\nEARBqJBTIAiCIFTIKRAEQRAq5BQIgiAIFXIKBEEQhMqoGLITjUbx+OOPY8+ePTCZTHjqqaeQl5en\nHl+zZg1WrVoFSZLwve99D5dccsmQ2NnZ2YlHHnkEVVVV6OjowPe+9z1cdtll6vEVK1bgrbfeQmpq\nKgDgZz/7GcaNGzcktl5//fVwOBwAgJycHPziF79Qjw2XzxMA3n77bfzjH/8AAIRCIZSVlWH9+vVI\nSUkBADz11FPYsmUL7HY7AODll19Wf65ksW3bNvzqV7/CypUrUVFRgYcffhiCIGD8+PF47LHHIIrd\nz27t7e144IEHUF9fD7vdjmeeeUa9HpJpZ1lZGZ588kkYDAaYTCY888wzSE9P7/H6010jybJz165d\nuPvuuzF27FgAwKJFi3D11Verrx3Kz/NkW++//37U1dUBAKqqqjB9+nT85je/UV+rKArmzJmj/izF\nxcVYunSp/kYpo4D3339feeihhxRFUZStW7cqd999t3qspqZGufbaa5VQKKS0tLSo/x4K3nrrLeWp\np55SFEVRGhoalLlz5/Y4vnTpUmXHjh1DYFlP2tvbleuuu67XY8Pp8zyZxx9/XFm1alWP7y1cuFCp\nr68fIosU5fe//71y7bXXKvPnz1cURVHuuusuZePGjYqiKMqjjz6qfPDBBz1e/9prrynPP/+8oiiK\n8s9//lN58sknh8TOW265Rdm9e7eiKIry5ptvKsuXL+/x+tNdI8m0c82aNcqrr77a5+uH6vNUlFNt\njdPU1KR885vfVKqrq3t8//Dhw8pdd9016HaNivDR5s2bMXv2bAAx77pz50712Pbt21FSUgKTyQSH\nw4Hc3FyUl5cPiZ1XXXUVfvjDH6pfGwyGHsd37dqF3//+91i0aBFeeeWVZJunUl5ejra2NnzrW9/C\nbXvG3eoAAAgZSURBVLfdhtLSUvXYcPo8E9mxYwf279+PBQsWqN+LRqOoqKjAsmXLsHDhQrz11ltJ\ntys3NxcvvPCC+vWuXbswa9YsAMCcOXPwxRdf9Hh94rU8Z84cbNiwYUjsfO6553DWWWcBACKRCMxm\nc4/Xn+4aSaadO3fuxKeffopbbrkFjzzyCAKBQI/XD9Xn2ZutcV544QXceuut8Hq9Pb6/a9cuVFdX\nY8mSJfjOd76DgwcPDopdo8IpBAIByLKsfm0wGBAOh9VjieECu91+yoWTLOx2O2RZRiAQwH333Ycf\n/ehHPY5fc801ePzxx/H6669j8+bN+OSTT4bETovFgm9/+9t49dVX8bOf/Qw/+clPhuXnmcgrr7yC\nH/zgBz2+19railtvvRW//OUv8cc//hF//etfk+7ArrzySkhSdxRXURQIggAg9tn5/f4er0/8fHs7\nniw74zesLVu24M9//jPuuOOOHq8/3TWSTDunTZuGBx98EH/5y18wZswYvPTSSz1eP1SfZ2+2AkB9\nfT02bNiAG2644ZTXezwefPe738XKlStx11134YEHHhgUu0aFU5BlGcFgUP06Go2qv4yTjwWDwaTH\nlBM5fvw4brvtNlx33XX4xje+oX5fURTcfvvtSE1Nhclkwty5c7F79+4hsTE/Px/f/OY3IQgC8vPz\n4XK5UFtbC2D4fZ4A0NLSgoMHD+K8887r8X2r1YrbbrsNVqsVsizjvPPOG/JdTWL+IBgMqrmPOImf\nb2/Hk8n//u//4rHHHsPvf//7U+Lwp7tGksm8efMwZcoU9d8n/80Mp88TAP7973/j2muvPSVKAABT\npkxRc4xnn302qquroQyCdN2ocAozZszAunXrAAClpaUoKipSj02bNg2bN29GKBSC3+/HgQMHehxP\nJnV1dfjWt76FBx54ADfddFOPY4FAANdeey2CwSAURcGmTZvUiz3ZvPXWW3j66acBANXV1QgEAvB4\nPACG1+cZ56uvvsIFF1xwyvcPHz6MxYsXIxKJoLOzE1u2bMHkyZOHwMJuJk2ahE2bNgEA1q1bh7PP\nPrvH8RkzZmDt2rXq8ZkzZybdRgB499138ec//xkrV67EmDFjTjl+umskmXz729/G9u3bAQAbNmw4\n5fc7XD7POBs2bMCcOXN6Pfbiiy/i9ddfBxALz2VlZam7Sj0ZFdVH8+bNw/r167Fw4UIoioLly5dj\nxYoVyM3NxWWXXYYlS5Zg8eLFUBQF999//ynx0WTxu9/9Di0tLXj55Zfx8ssvAwDmz5+PtrY2LFiw\nAPfffz9uu+02mEwmnH/++Zg7d+6Q2HnTTTfhpz/9KRYtWgRBELB8+XKsXLly2H2ecQ4dOoScnBz1\n68Tf/Te+8Q3cfPPNMBqNuO666zB+/PghtBR46KGH8Oijj+K5557DuHHjcOWVVwIAvvWtb+F3v/sd\nFi1ahIceegiLFi2C0WjEr3/966TbGIlE8POf/xyZmZm49957AQDnnHMO7rvvPjz44IP40Y9+1Os1\ncnKoJBk8/vjjePLJJ2E0GpGeno4nn3wSwPD6PBM5dOjQKU42but3v/tdPPDAA1i7di0MBsOgVXOR\ndDZBEAShMirCRwRBEMTAIKdAEARBqJBTIAiCIFTIKRAEQRAq5BQIgiAIFXIKxKjH7/fjBz/4Aaqr\nq/Gd73xnSGy47rrrTnu8srISjzzySJKsIUYz5BSIUU9zczPKysrg8/nwhz/8YUhsePfdd097/Nix\nY6isrEySNcRohvoUiFHP3Xffjc8//xxz585FWVkZPv74Yzz88MOwWq3YvXs3Wlpa8OMf/xjvvvsu\nysvLcfnll+Phhx9GJBLBs88+iy+//BKRSAQ33HAD7rjjDmzatAkvv/wyJEnC0aNHMW3aNPz85z+H\nyWTC3//+d6xYsQKCIGDy5Ml49NFHYbfbMWHCBOzZswcvvPACqqurUVFRgaqqKsyfPx/f+9738I1v\nfANHjx7F9ddfj8cee2yoPzLiTGbQdVgJYphTWVmpXHLJJer/FUVRHnroIeX73/++oiiK8vbbbysz\nZ85U6urqFL/fr5SUlCgtLS3KX//6V1UyOhQKKbfeeqvy1VdfKRs3blSmTp2qHDhwQIlGo8q9996r\nvPbaa0p5ebly+eWXKw0NDYqixKS8n376aUVRFKWoqEhRFEV5/vnnlZtuukkJhUJKXV2dUlxcrDQ3\nNysbN25Ubr311mR/NMQoZFTIXBAEC3ENmqysLIwfPx5paWkAAJfLhebmZmzYsAFlZWXYuHEjgJjq\n6p49e1BYWIhzzjlHHYB03XXXYc2aNTAajbjkkkvgdrsBAAsWLMBPf/rTU9733HPPhclkQlpaGlwu\nV1KVOwmCnAJB9IHRaFT/3ZtuTyQSwQMPPIArrrgCANDQ0AC73Y7S0tIeKpeKosBgMCAajfY4X1GU\nXuWkE7WiBEEYFCVMgugLSjQTox5Jkpi0/s877zysWbMGnZ2dCAaDWLx4sTpMZvPmzaiurkY0GsU7\n77yDOXPmYNasWfj444/R1NQEIDa29Nxzzx3QeyXOACGIwYScAjHqSUtLQ1ZWVq+hnNOxcOFCjB07\nFv/xH/+BG2+8ETfccIN6k/d6vXjwwQdx9dVXw+fzYf78+Zg4cSLuuusuLFmyBFdddRVaWlpOGaTU\nFwUFBfD7/YM2WIUg4lD1EUHozKZNm/Diiy9i5cqVQ20KQWiGdgoEQRCECu0UCIIgCBXaKRAEQRAq\n5BQIgiAIFXIKBEEQhAo5BYIgCEKFnAJBEASh8v8DQTqe0IUIpSYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d2dd2b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"timepoint\", y=\"signal\", data=fmri, estimator=None);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"The ``estimator`` parameter can also be used to control what method is used to aggregate the data."
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Plotting subsets of data with semantic mappings\n",
"-----------------------------------------------\n",
"\n",
"Often there will be multiple measurements at each value of ``x`` because we want to know how the relationship between ``x`` and ``y`` changes as a function of other variables. The :func:`lineplot` function allows you to define up to three additional variables that will be used to subset the data. These variables are then semantically mapped by the color (``hue``), width (``size``) and dashes/markers (``style``) used to draw the lines. For example, we can draw two line plots with different colors simply by defining a variable to be used for ``hue`` subsets:"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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EAoWFz6VLl9LW1kYoVLov82Rs2rSJnTt3AtDa2kpLS8uUxrzyyisA7Ny5kyuu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\naIBAPEikLbu6p5hWJBFl6+HtbKrbQlPUirllOjO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eYkdFI0KA065x3tQ8Zk/KISvt+P7W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\nJBJJj/x/kQVgporhSKIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d6cea20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"timepoint\", y=\"signal\", hue=\"event\", data=fmri);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"By adding a separate ``style`` variable, we can explore more complex relationships:"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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lTuUsVtZfOuHyrm5cTlNoGnui+9kbPTDq68IBL15DJz7C6M41SxrRNTGqCmcp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\nKDDGGBNxKDDGGBP9G26RCJ2LhGluAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d80c9e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"timepoint\", y=\"signal\", hue=\"region\", style=\"event\", data=fmri);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Be cautious about making plots with multiple subset variables. While sometimes informative, they can also be very difficult to parse and interperet. However, even when you are only examining changes across one subset variable, it can be useful to alter both the color and style of the lines, which can make the plot more accessible when printed to black-and-white or viewed by someone with colorblindness:"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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3qqrcd999kx5btmxZ3n7PPvts7nePx8O3vvWtszqfZJxYMpMLbMeSGY71RFlU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\nHwHWX8SGBG3+AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10db18160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"timepoint\", y=\"signal\", hue=\"event\", style=\"event\", data=fmri);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Some effort has been put into choosing good defaults so that you do not need to spend time specifying plot attributes for quick exploration, but the way the ``hue`` and ``style`` variables are mapped can be controlled through various parameters to the :func:`lineplot` function:"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Yp2CojIpKs+saDK4SvDWXz4ZFIC0Kl/4iWgiSL/64pG80UcoieQaDoTbGKRgqIvN9IKvn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\nx1GvW8rV0QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d077ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"timepoint\", y=\"signal\", hue=\"region\", style=\"event\",\n",
" palette=\"Set2\", hue_order=[\"frontal\", \"parietal\"],\n",
" dashes=[\"\", (1, 1)],\n",
" data=fmri);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"By default, the ``style`` variable is represented by drawing lines with different dash patterns, but you can also draw markers with different shapes at the exact position of each observation:"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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lZ3wjP0bvcIKPrruMtng/rfFeGiPlLAlGeamrnVr/DPsFhMANl0Gsj7S0CRqF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\nFWW+EOZ0iWUhQEnMwY58Df8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FIljZJELkS1RLJzS8OQ0b8Lc8i92+I598LqofBSI1PGvH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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d2d1780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"timepoint\", y=\"signal\", hue=\"region\", style=\"event\",\n",
" palette=\"Set2\", hue_order=[\"frontal\", \"parietal\"],\n",
" dashes=False, markers=True,\n",
" data=fmri);"
]
},
{
"cell_type": "raw",
"metadata": {
"collapsed": true
},
"source": [
"In the above examples, the ``hue`` variable takes different categorical values, and the colors of the lines are chosen with an appropriate qualitative colormap. When the ``hue`` variable is instead numeric (specifcally, if it can be cast to float), the default behavior is to use a sequential colormap and to make a legend with \"ticks\" instead of an entry for each line (allowing it to scale to showing many lines):"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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o0UWOUtBFrcEtHH74IvKnbzFqUQvDmhlXtza5hPgGcc/1GnePuxPqH7vr27pU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\nRCJ5j0hJXyKRSN4j/wc8EhsF/1LK5QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10daac320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dots = sns.load_dataset(\"dots\").query(\"align == 'dots'\")\n",
"sns.lineplot(x=\"time\", y=\"firing_rate\",\n",
" hue=\"coherence\", style=\"choice\",\n",
" data=dots);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"A non-default colormap can be selected in this case by passing a colormap name or object, and you can ask for a ``\"full\"`` legend:"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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CrBsbiqLgrGul+8hxnPXtoCiIei2JC2aRMH8m5tSEiCcuBfocOI6Em7AShhER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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d9796d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cmap = sns.cubehelix_palette(light=.7, as_cmap=True)\n",
"sns.lineplot(x=\"time\", y=\"firing_rate\",\n",
" hue=\"coherence\", style=\"choice\",\n",
" palette=cmap,\n",
" legend=\"full\", data=dots);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"It may happen that, even though the ``hue`` variable is numeric, it is poorly represented by a linear color scale. That's the case here, where the levels of the ``hue`` variable are logarithmically scaled. You can provide specific color values for each line by passing a list or dictionary:"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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aq2HC0kkcemcbNeXtBJfWE5FxulTT1NSOtdNExKTkPsXklF56fGdMx1xQgL26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LAAAg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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d27d1d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"palette = sns.cubehelix_palette(light=.7, n_colors=6)\n",
"sns.lineplot(x=\"time\", y=\"firing_rate\",\n",
" hue=\"coherence\", style=\"choice\",\n",
" palette=palette,\n",
" data=dots);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Another option for semantically mapping a subset is to change the width of its lines, which is accomplished by defining the ``size`` parameter:"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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4WJsS6mPHtGgP7K1NKShvRAC8Xfr2bVCt0fLuziRighz7vF40a4wXZTUtbNuX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r2tyrhiCQzVFb+8xUVdWTY0bff1cKBI03aJChuVgqgu3JSiZ6CbsaTw1pv2XgiCJeuSST+vuIr1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\n+oIgCFbk/wPPUOLQr+u3kQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d6ae240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"time\", y=\"firing_rate\",\n",
" size=\"coherence\", style=\"choice\",\n",
" data=dots);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"It's possible to control the range of line widths that are spanned by the data using the ``sizes`` parameter. Here we pass a ``(min, max)`` tuple, it it's also possible to pass a list of dictionary to precisely specify the width of each line:"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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oeGhJ/xZh6YNKrWVnYgEPLY3F2c6cFz87xac7s7hrZltz9pScGoI87QyWjLA0\nN2HmWP8rbpI6QaBR0UpVg5Iz56p45YvTDHG0xNbSlAg/x05DSJej1el4//tUXOzMWTI1yODwoUQi\n4S83D+U/X5/hm33nWTYt2KDzDWVQO/3+or6+jrKyUl555XVKS4t55JGHEARd+y/bysrqCiVNUWmz\ndzhXWEdtowonW3MCPTtvfF5c2cTOxALGRboRNghWukUVTby+JYnhQ125c0ZojzpCVdQ2s+1gm7bO\nQCjC6or9p4sJ8rTD+49Y/gOLo3n20xP8/Hs+s8b4kdzLqppSiQQ7azl21nICPeyYO96fM+eq2PRL\nBoIAX+89x8QYjy7DgYIg8MkvWWgFgbtmhhl0s7gYE5mU+xZE8fynJ3Gxt2DaMOM1hxn434ZOeOON\nN/pFBdHW1g4fHz9MTU3x8fHDzExORUV5+/GLHfwFRKXN3uGCuNroiCFd/oF99ds5LOQmLJmqvy5N\nf1FR28yrX58hzNeBv8wY2qNHfJ0gsOnnTEaHu/Wrto6+NCvV7Ews4MGLnkgcbc25f1E0L39+Gntr\nOZkFtUatrTCRSQn1sUet0fGP24dxLLOCl784jauDBZ7OVjjYyHGwluNg+8f/bcyxkMvYeiCbkmoF\nDy+L6zLU2BVW5qY8sCSGFzefxNnOnJgg48hdD2qn319ER8eyZcuXLFt2K9XVVSiVLQwbNrJdafPg\nwYNXKGmKSps9R63RcTKrAoBRXYR2ahqUpOXVMm+8/4DPya9tVPH/vjqDl6s1q2+J6HFMd//pYirr\nW/i/RX0vmWwogiDw6a4s4kNdroij+7nZsvqWcN75LgUHG7neKardJTW3hkAPO3zdbPF1s2X+hAAy\n8mupqmuhplHF2cK69v2AmkYVCOBoK+ex24b12ia5q70F6xdEtW/sGuOaRaffDcaNm0BS0ilWr74T\nnU7HQw89gru7B6+88jwffPAOoaHBTJ48DWhT2nzlldeZP38Rzz33FGvXrsLU1JSnnnqui1lELic1\npxqFUoOXi/UVhTuXcyxDv5tDf9PUoubVr89gby1n/fyoHu87VNW1sGV/NvfNixwUiqGHU0oprlLw\nxB3DOzweH+LC7TeFolbrjJ5qe3ljFhOZlKhO2jG2qDSYyKS9vlcU6GnH2nnGE3ob+N+KAcq6dfdf\n8doFpU0XF5v2sJOotNl7XMja0Sc3/1hGOb5uNgxxtDS2Wd2mRaXhtW+SkEok3L84uldWi5t3n2VE\nqKvRe8chKe5UAAAgAElEQVT2BmU1zWzZl83fV8R1qh80Odaz03FUai1mJtIe3RR0OoGUnGpmjtE/\nw8uYN1Vj7kGJTl9kUNCi0nDmfBUAo8I6d/rlNc3klTUapDF/ObuPFZCQXk6Qhx1RgY6E+jj0ag61\nWqPl7W9TUCjVPHbbsF7pT5uRV8O5ojpeXjOmFyw0LmqNjg+2pzFvgn+XT22doWzV8NgHv2NlYcrE\naHfGRLp1K5yXU9KA3Exm9BDSQEB0+iKDglNnK1FrdIT80ZS8MxIz2p4IRoZdvSNTZ5w+V8nX+85z\ny4QAzhfUciCpGJAQ6mNPlL8jUYFOuDladntlqdXpeH97GmU1zTx2W3yvNPcWBIGtB7KZMcpnwO9h\nAHx7MBtHWzlT4jpfxXfFnhNFeLpYMS3eiwNJJXx7MIfYYGcmxHgQ5uugdzZNck4V0QFOg7Ja21BE\npy8yKPgztNO5bo7wRx5/iJed3nLLF1NcpeDDHencMtaP1XOjqKxsRNWqJaOglpScavacLOKrvedx\ntjNn2jAvpg3zMihro6quhc27z5Jb2sCjt8bjbNc7rfhOZlVS3aDixhHevTKeMUnNqeZYRgVP3zWi\nR05W8UfWz1+XxeLvbktciAs1DUoOp5Ty8c+ZSKUwIdqDuVO6zntPzq5m7vgrhdyuRYzq9OfNm4eN\nTduOvJeXF0uXLuX5559HJpMxfvx41q9fb8zpRa4R6hWtpOfVIJNKGN5JP1WAokoFpdXNTL8xxOB5\nFEo1b21LJszXgTkXOQC5mYzYIGdig5wRBIHy2hZOZlWw40geB5NKWHFDSJepkWqNjp3HCvjpaB6W\n5qZIJfDlb+fwcLLC08UKDycrPJwtsexGmEer07HtYA63jPUb8Dn5DYpW/vdzBvfcEtHjJ5KdiQUM\n9XXA3/3PRieOtubMGefP7LF+pOfVcDCplLUv/8aSKUFMiHbv8CZT26iipKp5UNRy9AZG+4aoVG0C\nQps3b25/be7cubz11lt4e3tzzz33kJaWRkREhLFMELlGOJ5RjiBAVKBTl3K5xzLKkUokDOvi5nA5\nOp3A+9vTMJFJuXt2+FXDAhKJBDdHS2aN8WNCjAffHsjmP1+dIT7EhaXTgjpcuafmVvP57rMolBoW\nTwlky75slk8PRqMVKKlSkJBaRkm1gsZmNXbWZni7WnPHjaF6V+IeTi5Fp9MxKbZn+u+dUVXXwqlz\nVbjYmzPUx6Fbm5g6oa037/go9x472PomFb+dLOIftw/r8LhUIiHS34lIfyeqFWpe/vQ4qTnV3Hnz\n0Cv2T1Jzqgn1sR/wN8zewmhXmZmZSUtLCytXrkSj0bBhwwZaW1vx8WnTpRg/fjwJCQmi0xfpkguh\nna7SLy+EdsL9HAyWxd16IJvckgae+MtwvR2araUZf7k5jEmxnnz+61n+8WEiM0f7cvMoH8xMZdQ0\nKPnqt3OczKpkcpwn8ycGcCSlFC9XayZ1kJHS0NxKaZWCA2dKeGNbMo/fNqxLW1RqLdsP57JkalCP\ni4M6GvtkVgWHk0vJKW0g0t+JhDQl736Xir+7LeF+DoT7ORLgYavX3HtOFKFQqnsljPJTQj5xwS56\nSRIP9XPk6btG8tmvWTz10TFWzw6/pHNYcs6ljVmudYzm9M3NzVm1ahWLFy8mLy+P1atXY2v752OY\nlZUVhYWFnY7h4GCJSQdKeBfj4mK4XnZPeemll0hLS6OyshKlUom3tzcODg68+eab5OfnM3v2cn78\n8cc+t0sf+uPz0oer2VVapSCnpAFzMxnTx3QevsjKr6GqXsmtM8IMus79JwvZfayAp1aPITLk0icE\nfcZxcbFheKQHe08U8slP6SSklzM2yp2dCXl4D7Hh1QcmEuztgFYn8Nzmk9x+c8f2uQCBvk6MjvXi\nqY0JbNqZxT9XjkLWQbHWhfO37j2Ho50FsyYE9YpQlyAIZOTVsOdYAYeTSvBxs2H6SF+ejvXE6o+n\nrAZFKynnqzhzrpJPdmZR26gkMtCZ4UNdmTzMu/19F5NdVMfPv+fz6v0Tceuh0mlFTTOHU0p5629T\ncNFzLF9vB/6xcjT7Thby9ncpzBrnz/IbQxEESM+r5Z750bj0oab9Bfrj79FoTt/f3x9fX18kEgn+\n/v7Y2NhQV1fXflyhUFxyE+iI2trmTo9fnA/fl6xadR8AP/+8g/z8PNau3QDA5s1fsWXLV9TW1vaL\nXV3RX59XV3Rm189HcgGIC3amsb6FzqzfeTQXE5mUYHf9rzOvrIE3vznD4ilBeDtaXHKeoZ9XjL8D\nz909ih+O5HI0uYQlU4OYGOOBVCKhsrKR02crUbVqCPXoety7Z4Xx/KcnePeb01cIcF2wS6FUs2XP\nWdbMjaC6uudaTqk51Xy+5xzKVg1jI9345x3D2rVnmpuUNDcp298b4mFDiIcNSyYFUFnXQkZ+LYlp\nZWz6KZ3R4UOYGu/VrqPT2NzKC5+eZNm0IGQ6XY+/g5t+zmBMhJveY138e4z0seeJO4fz4Q9pnEgv\nY2KMBzaWppgi9PnfhjH/Hju7mRjN6W/dupWzZ8/y9NNPU15eTktLC5aWlhQUFODt7c3hw4d7vJH7\nxhtvsGvX7l6yuI0JEyZz991runWujY0tb7+9keXL5/eqTdcrbc1S9Mva0ekEjmdUEB3opLcSY72i\nlbe2pTA81KXXsl4szU1YNi24Q6XEX08UMiXOU69QiLWFKfcvjuH5T0/g7mTZYTjo54R8fIZYE+Hf\nc32dphY1H/6YzqLJgYyNdDNI7M3F3gIXewsWTg8lJaucfaeKefnzU3i6WDEp1oMDZ0oYNtSF0eE9\n71hWWq3geGYFL6we3e0xXO0teOTWeHYcyeOTnZlMizeeuNlAxGhOf9GiRTz22GMsX74ciUTCCy+8\ngFQq5W9/+xtarZbx48cTEzPwJV8NYdy4Cf1twjVFYUUTZTXN2FiaEu7X+cZfVmEd9YpWvXPzdTqB\nd79Lwc7KjDtnDDV6fnZhRRPnixtYM1f/8no3R0vWzYvkja3JuDpYXrL5WdOg5LeTRTy8Iq5XbP/6\nt3NE+DsyIbpnm8FujpYsnx7MgokBJKSV8eWec6jUWkJ97DtsjGIo3x/KZUqsJw428h6NYyKTMn9i\nAPEhLthZD/y6ht7EaE7fzMyMV1999YrXv/nmm16b4/7772fFipW9Np7IwCKrsC0cGB3o1OXKMzG9\nHLmpTG9lwqyCWrKLG3hpzehOJQB6i99OFjIqzBVbAwuxwvwcWTYtmHe/S+EfdwzH7Q9ZiR+O5BEV\n4ESgR+fy0vqQlltDUnY1z60e1eOxLiA3k6FSa3GwkbN0WhC/Hi/iP18n8fflcd2WmygobyQ1t4aX\n7u3+Kv9yutNDd7Az8LtKiFy35JQ0AHSpm6/RtqlvxgU76y2VkJhRQZifQ68VR3VGY3MrCWnlTB/e\nvRDS5DhPxkS68cbWZBRKNUUVjRxNLWPBJP1aB3aGSq3lk52ZLJsW1O1G4B1x5nwVu44VcP+iGCL8\nnNiwMAo7KzPe256KRqvr1pjfHszhxhHeg6LieCAjOn2RAUt2cT1Al6vZtNwaFEoNI/VU1Lxwk+hK\nw6e3OJhUgp+bTY9WlcumBuNqb8G736XyyU/pjI0c0iv9frcfymWIoyVjutgzMYSiiiY2/ZzBffOj\n2iUzZFIp986NQKFU8+muLARBMGjMc0V15JQ0DIqK44GO6PR7wMyZt7Rn7lxMb7dwvB6pV7RSVa9E\nbtq1CFZiRjlW5iZE6rmhmZZbg0qtJT7EOE0qLkaj1bH3VDE3dHOVfwGpVMKauRE0KFo5lVnB3PE9\nX+XnlzVyIKmYO24K7bU9jQZFK29uS2b5tOArntDkpjLuXxRDdnE93x3K1XtMQRDYdiCHmaN9B4Vc\n9EBH/ARFBiQ5JW2rfH93m07zz1VqLafPVTFKjybpF0jMKCcqwKlbkgeGcvpcFRIJxPXCDcZCbsKD\nS2Jo1gg93sjU6nRs+iWDOeP8celmD97LuaAcOjrC7arZVtYWpjy4JIbnN5/EwdqMKV1kzuh0AgeT\nSqiobWZqfM/E2UTaEJ2+yIBE33h+cnY1qlat3qEalVrL6bNV3DVzaI9t1IdfTxQyNd6rR/1uL8bR\n1pzQXsjv3n28EKlEwvThvZOuKAgCb29Jwt7ajHkTOq+4dbaz4MHFMfz7y9PYWskZFupyxXt0OoFj\nGeXsOJqHIMDds8P7ZMP9ekB0+iIDkgvx/ACPzgv4jqWXY2dldklZfWckZ1cDGK3/6MXklTVQUNbI\n/y0cWG0LK2qb2XEkj0dvje+Vm5FGq+Oz3WcprWnmoSUxeskZ+wyxYd38KN7+NgUbS1NCvO2BtieQ\n39PK+fFoHjKZlDnj/Bkx1LVXqo1F2hCdvsiAQ6cTyC1tW8kGdLKJ26zUkJRdzeRYD72dQmJ6uUFZ\nPj1hz4kiRke4dSkS15cIgsAnO7OYGu91RU/a7tDUoua971ORm8p4bs1YFI3Krk/6gzBfB+6cEcpb\n25J5eHkceWWN/JSQh9zUhIWTAokPddFbD19Ef0SnLzLgKK5SoFJrcbYz77TByP4zxWi0Or374DYr\nNSRnV7NOj/6jOkFApzMsw+Ri6hWtHMso58m/jOj2GMbgSEoZ1Q1K7u+gaXpRRRMSqUTv7lFlNc28\nsSWJ2GBnFk8OwtLc1CCnDzAybAj1Ta08vek4vkNsWDY1mJhgZ9HZGxHR6YsMOLL/2MTtLJ6fdL6K\nbQeyiQt27jIEdIHT5yqRm0qJDOg4y6epRU1abg2pOdWk5NZgITdh/fxIvZQcL+fA6WKCvew7bAWY\nmlONRCLpFfkEfVFrdCSml/P13nOsmx/VHh+vaVDye3o5CWllKFUaNFqBAA9bZo/1u0Sn/nIy8mv5\nYHsq8ycGdCgRYQg3jPAmMsCxR93IRPRHdPrd4K23XiMrK4OammqUSiUeHp7Y2zvg7u5BcvIZJBKB\nmTPnMmeOqMHTHXKK2zZxr+bMC8obeX97Gj5DbLjnlgi9HUViejnDQl3as3x0gkBeaWObk8+pJqe0\nAQ8nK6ICnJgQ7U5+eRMvfHaStfMiifTXX3pXpday73Qxd8wI7fDY/37OQKPR8fzq0QZX6BpKQ3Mr\n+08Vs/d0MY42cu6cMRTfIdYcTCohIbWMosomhg915bYbQgj2tkej0XEouZR3vkvB3cmK2WN8r9gv\nOZhUwrcHsrl3bmSvNR7pjZoDEf0QnX432LDhQeBSlc1Tp06wZctXfPDBJuzs5MyYcTOTJ0/rUklU\n5EraV/odxPNrG1W8sTUZS3MT/m9htN4l/Q3NraTn1fLQ0ja9p5oGJS98dpJmpYYIP0fGR7uzdl4k\n9tZyth3I5lBSCVKZlNHhbry9LYVl04KZrEc/19TcajbvysLFwYKYwCs3i387WYS7oyXO9hZ8sees\nQVo8hlBU2cSvxwvb0lP9nVg3LxKfIdZs+jmTTb9kEO7nyPTh3kQHOmFq8udmrpmpjGnDvJgU68HR\n1DI2/ZyJvbUZs8f6Ee7nyJb95zlzropHbxvWLgkhMrgY9E7/zjuXXfXYJ598BcChQwf473/f6/A9\n48dPYvXqtQC8+OIzPPbYk92yIyIiiqCgP1v06XQ6TEwG/cfb5zQr1ZRWN2Mik+Iz5NLQiLJVwxtb\nk2hWaXjs1niDctVPZlZgbWnKUB8HtDodG39II9TbgbtmDm1f+TcrNby5LZm6JhVP3DkCpU7gpU+O\nc9fNQ/ns17OU1TSzZErHuvX1ila+/u0cp89XsWBCAFOHeV7xPoVSzS+/5/PA4hjcnCz554eJnD5X\nSVzwlSmL3eV8cT3bD+WQU9rA+CgPnl01qj0Pf2diASq1ln+vHdtljYKJTMrEGA/GRblxPKOCr/ae\np6lFjYeTJf+4Y/iA2pwWMQzRK/UScrkcuVyORqPh0UefYs6c+VhaiishQ8kpbQvt+LpZX1JspdMJ\nbPwhncKKJu5fFG1w5klienl76t/3h3KpV7TywJKY9jnKapp5c2syPkOseey2YchNZbi42DAx1oM9\nJ4t49NZ43vo2hYraFu6ZE97ezEUnCBxKKmHLvmxCfex5/u5RV23IvjOxgBBv+/a9ittuDGHzrixC\nvR30loPujMbmVt7YksTNo31ZNz/qkupVZauGnccK+NuyWIOK0mRSKaMj3BgZPoTckgZ83Wx6vUOX\nSN8y6J3+hdV8Z0yYMIkJEyZ1+b7urvIv0NDQwBNPPMK4cWNYsuSOHo11vXIhnn95aOebfec5c76K\nW28IIbqDsEln1DQoOVtUz6IpQWQV1LIzsYDHbhvW7rhTcqrZ+EMaN430YdYY30v2COZPCOClz0/x\ne3o5/7h9GO98m8JLn5/i/kUxNKs0fLozk6p6JStnhREfcvUVe10HPV2Hhbrye1o5W/ef544ZPS8W\n++5gDlGBTswc7XvFsd9OFjHUp+ONZX2QSiRdFsqJDA7EW3YvoVIpeeCBtcyaNYf77ruvv80ZtGSX\nXLmJu+9UEbuPFzJ9mBfThhleQXosowInW3OGOFiwcUc6CyYF4utmgyAI7Ews4IPtaayaFc7ssX5X\nbAqbyKTcOyeCfaeKKaxo4q/L4vB0tubpTcd45uPj+LrZ8Nzdozp1+AA7juYxLOTKnq633hjC8cwK\nsgpqDb6ui8krayAxo5zFk4OuONai0rD7eCFzxvW8N63I4Ed0+r3E999vo6SkmB9++I7bb7+d9evv\noaSkuL/NGlQIgtCuuXNhpZ+SU83nv54jOtCpw25U+pCYUc7IMFc+/iUTb1drxke5kZJTzfvb09h/\nupjHbh9GbPDVnx5c7C24Y0YoH/6YTkurhrtnh7FwUiCP3hrPiukhXYqAVdS1cDSlrMOG4PbWchZP\nCeLjXzJpVWsRBIEdR3Kpb1LpfX06QeDzX88ye4xfh/sce04UEunviIee+fci1zZdhnfq6+v597//\nTUFBAW+++SYvv/wyjz76KHZ24qPezJm3tP+8dOmtLF16KzBwe9EOdMprW1AoNdhZm+FoK6dFpeH9\n7Wl4ulhx75yIbpXil9c0k1/WiJOtOWl5NbjaW3D/m4fxcLZiqI8Dt98Zqtem5MiwIaTl1vDRTxn8\n36JoJsbo32Hq+0M5TIh2x/kqwmYTot1JTC/nhyN5xIe4sONoPieyKnlkRbxesf6E1DKaWjTc0IHs\ncLNSza8nLg0riVzfdLnSf+KJJ4iKiqKurg5LS0tcXV15+OGH+8I2keuMi/XzJRIJZ85X0aLScOsN\nXa+mL0cnCPySmM/zm08CcOpsJTGBziyYFMjr/zeef60cyfLpwQZloayYHkJlXQt7ThTpfU5hRRNJ\n56uYPdbvqu+RSCTcOSOUvaeK2HE0l/kT/An2suPtb5NRa7Sdjt+s1LBlfza3Tg/ucIN19/FCYoKc\nGCKmV4r8QZdOv6ioiKVLlyKVSjEzM+PBBx+krKysL2wTuc5oV9b8I56fmF6Og42cIC/DnioVSjVv\nbU3mSEoppiZSrC1MmTXGl7XzIokNcu52n1a5mYw1cyPZfjiH/DL9nuS+PZDN9GHeXRZhuTpYMmOU\nD8nZ1YyOdGPF9BCsLc3YuCO9UzmIH47kEuhhS2TAlcVjTS1q9p4q5hYxli9yEV06fZlMRmNjY/sG\nV15eHtJekokVEbmYC0VZAR627ZIIo8KGXFWHRScINChaL3ktv6yRf206joW5CXfdHEZtowoHG7MO\n4+ndwdvVmgUTA3l/eyr1l819OeeK6sguaeCmkT56jW0mk2IpNyEhtQypVMLq2eE0KzV89uvZDjtN\nlVQpOJhUctW9jl3HCogPcca1l/TyRa4NuvTeGzZs4Pbbb6ekpIR169axYsUKHnjggb6wTeQ6QtWq\npahCgVQiwc/NllNnK9HqBKoaWjicXHqF0yupUvDcJyd49IMEmpVqAA4ll/DKl6eYMcqHlTcP5Zt9\n55FIYMOC6F7NLZ8a70mYrwOPvHeU97enkpFXg+4y+wRBYNv+bGaO9tUrLi8IAgeSS1k6NYgfj+ax\n71QRUimsXxBFbkkDPxzJu+L9X+w5y40jvDtsgtLY3Mr+08WdhpVErk+6/DZOnDiRyMhIkpOT0Wq1\nPPPMM6K0gEivk1fWgE4Q8BlijdxMRmJ6OdYWpiSdryLpfDVHU0u5c8ZQTE2kmJnKsDI3ITbImTPn\nq9h/ppiK2hZScmp4aEkshRVNrH/jEK1qHbPH+l51A7W7SCQS7pgxlFvG+XMouYSPfs5AJpMyKcaD\ncVHu2FqZkZJTQ2W9Uu9uTxn5tZjIJIyLcsfF3oIv95xj7+lilk0L5oElMby4+SS2VmZM+UMK4mRW\nJeU1zWy4ilb/zsQCRoYN6ZPG7yKDiy6d/tKlS/n666+ZPHky0CYvMHfuXHbs2GFs20SuI/6M59tR\n36Qis6AWiQRunR5CuJ8jH+/M5B8fJiKRwIobQpgS58mc8f5YyE347lAOAR623HZjMO9tT6WmQYWH\nkyXrFkTi4dS9YiR9cLCRM2ecP7PH+JGaW8OBM8VsP5xLdJAzJVUK5o7317vb077TxUyJ80QikRDq\n48CTfxnB4ZRSPtyRToC7LXfMCOG/P2ZgY2HKFDsLvt57jmXTgjvsC1CvaOVgUgn/Wjmyty9Z5Brg\nqk7/jjvu4NixYwAMHTq0PaYvk8mYOnVq31gnct1wcVHW8cwKBKGtu9KkOE9On62iorYZexszmpUa\nfjqah7uTBaVVzXy99xwTot0oqmzmrW2pWMhl3DsnQm+N/d5AKpUQHehEdKATtY0qDieXADAuquM+\nsZdT26giI6+WlTPDLhlzYowHI4a68lNCPm99m0pcsDOf7sokKbcGVweLqxaE/fJ7PqMj3K4qByFy\nfXNVp//pp58C8Nxzz/HPf/6zW4NXV1ezYMECPvroI5RKJWvWrMHPzw+A5cuXM3PmzG6NK3JtIQjC\nn+manna8/k0SEmDN3AikEgk1DS2YmcioV6gQBFBrdfz7izOYmkqRSOBAUls22fThXiyeHIipSf/1\nUnWwkRucLXMoqYSRYa4dpqVayE1YNDmQibEebNl3Hq0OjiaXYCKV8MwnJwhwtyXAwxZ/d1vcnCxp\nULRyJKWUZ+8e1VuXJHKN0WV45+GHH+bXX39FoVAAoNVqKSoq4v777+/0PLVazZNPPom5edtqIz09\nnbvuuouVK1f2gtki1xKVdS3UK1qxMjehqbmViroWIv0dqaht5u1tKdw9OwwHG3O8h1i3bVoK8NjG\nBCrr2ro0yaQSJBIYE+FmkMPPzK/F38O2T1onXg2tTseBpJIOO1ldjKu9BffNjyKroBatREqQmzUF\n5U3klNSTklPND0dyaWrRYG1hwrgod+yt9VcgFbm+6NLp//Wvf6W+vp6CggKGDx9OYmIi8fHxXQ78\n8ssvs2zZMjZu3AhAamoqubm5/Pbbb/j6+vL4449jbW28eKvI4CErv013JsDDlk2/ZAKwfFoQr29N\npqpOyatfJzF9uBexwc40KzW8/PkpquqVLJsaRIi3HV/vPY+53IRfjxdyz5wIveY8kVnBpl8yMDOR\ncfMoHybHeeodf+9Nks5X42gr11s1NNTHob3iO8jL7pIahobmVgrKGkVhNJFO6dLpZ2VlsXv3bp5/\n/nkWLlzIAw880GXK5rfffoujoyMTJkxod/rR0dEsXryYyMhI3nvvPd555x0eeeSRTsdxcLDEpIuV\nm4tLz5s7GwPRLv3ZfjQfAGsrOSk5Nfi42SDITKiqV+LqaMmL68bz9tYzPPG/YzQoWlFrtLyyfgJD\n/draDcZHelJa1cSG/7efNWYmOHWRsVJV18IXe87x7L1jMTOV8cWuTB7/MJFFU4O5abTvJc7f2J/X\nkW9TmDMxyOB5Onq/CxDoq3+HL2MwEL9fINp1MV06fScnJyQSCf7+/mRlZTFv3jzUanWn52zbtg2J\nREJCQgIZGRk88sgjvPfee7i4tG083XDDDTz77LNdGldb29zp8YGqcSPaZRhZ+TUAnMwoB2B0mCsf\nbk8BAcZFutHQ0IyMNolktUbH6HBX7Mxll1zLkdNFBHjYUlhch65Vc9W5dDqB//fVaabEe+Jo2VaZ\ne8/scPLLGtl+OJctv51l1hhfJkR74OFuZ9TPq6K2mXOFdayZE27QPAP19yjaZRjGtKuzm0mXFSvB\nwcE8++yzjBo1io8//piNGzd2WB14MZ9//jmfffYZmzdvJiwsjJdffpl169aRnJwMQEJCAhER+j2G\ni1zbqDW69k1c8z9aH8YFO+PmaIHcTEpptYJ/bPwdZasWe2szZo3xpVml5ZmPT1wihRDiZU9hRSOW\nFqZotLqrzrfzWAE6AWZdpjnv62bD/y2KZv2CKJLOV/P4xgQSU0uNcMV/sv9MCeOiDNuHEBHpKV06\n/aeeeoqbb76ZoKAgNmzYQEVFBa+++qrBEz399NO88MIL3H777Zw6dYp169Z1y2CRa4vCiibUmjYn\nLTczIdjLDisLU0YOHYKluSkJaeVIJRJ0gg7fITYsmBjA/YuimTHKm/98c4bvDuag1enwcrUmNsiF\nlz47yeHkjp11bmkDu44VsHp2+FUVO/3dbXlwSQwrZ4Xz1pYztKiu/tTQE9QaLUdSSpkcq1/xlohI\nbyERuli2z58/n++++66v7LmErh59rsfHtp4wEO36KSGPbQdyGOJgQXltCzcM9yIhrRwEHUgkTI7z\nJKekgXNF9by2ftwlrf7qmlT878d0NFqBe+dGoNbo+Od/E3G0kfP8PaMv0exRtmr416bjzJ8YwMgw\n/XL4P96VhYutnFlj/Hr5qtvkkI+mlvLXZXEGnzsQf48g2mUoAza84+zszIkTJ2ht7VxcSkSkO/ye\n1hbHd7a3QCKBvLJGzM1kNKu0SJAQ6GFHXlkjGxZGYW5mgqr1T6lhe2s5Dy6JZaivA898fJzqeiUv\n3DMKhVJDWm7NJfN8ueccQV52ejt8gGU3hLL7eCHKTvYIusu+08VMjjO8C5iISE/p0umnpqZy2223\nEfe0QAQAACAASURBVBMTQ1hYGEOHDiUsLKyr00RE9KKyrgWAkqomfIfYkF/WSHWDEp0AN4/x4cMd\n6dw9K5xIfyeOpJby+pYkWtV/On6pVMLc8f6smhXOBz+k8XtaOUMcLfjhSG77e05kVpBVWMeK6SHt\nrx1OLuWhtw9ztJO4vfcQG8J8Hdh7qnc7oBVWNFHdoCQ2uH8zbUSuT7p0+gkJCWRmZpKRkUFGRkb7\nzwD79u0zuoEi1y5qjZbWP+L5tY2taLQ6gr3sEASwtTRlx5F87pkT3t7KcFyUOw42ct79PvWKzdoI\nf0eeuHM4SeerqW9qhT+CljUNSj7bncU9t0RgITchI6+GhuZWvF2tuWtmGN8fyr3kBnE5t4zzZ/ex\ngl5d7f+SmM+kWA9kokS5SD/Qo2/dm2++2Vt2iFyHnL8oa0cmlbBuXhQmJm3SCmqNjr8tiyU68M/e\ntVKJhJWzwpBKJHz92/krxnO0NefvK+KIDnQiu6SBr/ac478/pjNtuDeOtnI++CGNj37OpLpeia+b\nDVEBTvzj9mHt1auXyyMDeDpbEerjwL5eWu3nlDSQmV/LjR20NhQR6Qt65PS7St0UEemMjLy2SlyN\nVsDN0ZIdCbkkZ1cjCPDPO4fj736lhLeJTMraeRHcPNoHZavmiu+giUzKbTeGEhPkxO4Thag1OiJ8\nHXjyf8dwtjPnubtHXTKunbWciTEepORU89rXZ2hWXrmiv2WcH7uOF16yn9AdBEHgq73nmD8hAHMz\nw9o/ioj0Fj1y+pKrdDQSEdGHnNI2ZU2NVkdZTTMJqW3pmXHBzrg7WV31PFMTGY625nz12zne257G\nD4dz2XE0D4VSTXGVgt3HChjqbY+9tRlSqQQvV2sev30YCycFIjfrOCc+ws8RV0dLXvr8JDUNykuO\neblYE+Jtz97T+vfG7YjjmRW0tmoZF+Xeo3FEBjf1TSq++PUsNQ1KzhbW9fn8YlBRpN8oq/mz4lr7\nRx/YQA9bvTNsFk8JwneINVqdQKtaiyBAq1pLVYOSqnoVwV52FFU0sXFHOi72ncsMS6USbrshhLGR\n7vz7y9NX7BnMGefHrmPdX+2rNVq27s9m2bTgq9YIiFz7FFU08dynJ7G2MKWitpl3vkuhtFrRpzaI\nz5gi/YIgCNQ1qi55LdDDloKKJqI6aPLdEVbmplfk0FtbmLaHb9QaLX999yhOtvL/z955h8dZXmn/\n906XRjOjNuq9WL3Zcu82xqEZMMF0Nr1/m4RNwpLNZsmSXcJuks0CG0ISQsCmGDAYsI27jbssy5Zl\n9d6lUS9TNJryfn+MPFi2yqgZQnxfly5fGs+8OvOW8zzPee5z30glEkRRnHB1KggCX1gcxdI0ly9v\nTXMfWqVrZRCh92FehI4jF1r4wmLPPG+vxP78JiKDfEiO9pvyZ2/g04NTFMf1aJ4qKpv6eP7dSzx4\nUyJL0kLQ6zXcszqe53Zc4meP5npkqzkbuFHTv4FPBZ19FpxX3D7rc8NYkBREQrhu1m5+uUzKxoWR\nGHotdPRZ+K/XL9B71UAzFnQ+ShoMg/z3toJR9/im5bHsPds45dl+v9HKvrNNbFmXMOXvcAOfHtq6\nTfzT8yfpM05+z0wGo8VGWKCa738xkyVpn5jrrMoKIyXGj71nG2f8NzzFpE/Xzp07r3lNpVIRFxfH\n9u3b5ySoG/j8o26kng8gl0nYuDCad4/VkpMYOMGnpo61OeHsOdOAechGgE7Ff2w9x2NbsgkLHH/P\nACAmxNXRWNM6QMKIVHFEkA+J05jtv3e8lmXpIQT7eU//i1wHnLzURkuXiS+uiZ+12e3fKkRRZNv+\nSsxWOwUVnaxfML1GOofTyRsHq+jqH+IH92bhM4bs9QPrEwHXwODjJb/m/2cbk870Dx06xHPPPefm\n6b/wwgu89tprPPHEE7zxxhtzHuANfD5RccUGlkop5ciFFoqqu8hOHNsCcLrwVsl5eEMSCpmUr96W\nwuLUYJ7eVuCmi16Jy7P6+vYBXv6oHH+d0m19eBmblsey72wjVptns/1GwyCFVV1sWh4z4+8y14gK\n1pBXauDF90vcekh/r7A7RBLCdfzkgRzS4/yndQyL1c7/vlOEodfCN+4YX2BSJpUgkQg88/p5Cio6\nphuyx5g06Xd2dvLee+/xxBNP8MQTT7Bjxw5EUWT79u28++67cx7gDXw+UXtF0h0astPVa2Fo2MGA\nySX3MWxzsD+/iX/+w2nOjkguTxdL00PQqhUMWmzcuyaBTctjMQ/ZsVhdcg0fnKjjt28V8tj/ncTu\ncOJwiPio5LR0mGjrHi3vHRnkQ3y4jqMXJufti6LI9sPV3LE8dpRm0GcRRy60oFRI+dU3l+B0imzd\nV/Fph/SpwTxkp63bxN2r4ogP1+F0ipiGJpaTHwv785sI1Hnxg3szJy1ZSgSBr96Wwit7K2juNE43\ndI8wadLv7e1Frf5kKaxUKunv70cmk92gbN7AtCCKIi1dnzAWkqL9ae911fh3n3EZqvx+ZzFvHqqi\nZ9DKgfymGf/N947V8uGJegA2LIwkMz6AM6UG/rKnjOYuE+mxAXxvcwYSQSA+XMeWdQn8+zeW0txp\numb2tWl5DHvzGsfk9F+Jwuou+oxW1uSEzTj+uURbt4n3jtWiUkiRy6R8+6507lkdx4B5eFbq2X9r\neO9YLbtO1bt/f/NQNWdLpzbxGDANc+eKWB65eZ7HndcxIVruX5/A8zsuzYne02VMGs3NN9/MP/zD\nP/Daa6+xdetWvvKVr7B+/Xp27tzpNkW5gRuYCjr6LFxmREoEWD0/ggGTFYng0slp6zZx+9IYHn8w\nh7tXxlLTOkDHJIY6k2HDwkhOFLcxYP5EOHB1Vhi/+e5yvnNXOjcvjCQ+TDeKThkdquWLq+M4VNA8\nqls3KljDwuQgfvzCSX6/s5hz5R3XlHvsDidvHa7mvnWJn3m5he2Hq7l1STRabwXgoq/qfJQUVXfz\nn1sLRlFrrzeMFhvlI3aa1wP17QOcKmnj/pE6O0Bukp78cs/LLi2dRn7+l7NYrPYpT4yXpYfyldtS\n5tS3Wfrkk08+OWEQy5bh5+dHUVERRqORO++8k/vvv5+hoSHuu+8+t/H5XMBsnljZU61WTvqeTwM3\n4poYJXU9FFR0ArAgSY9KJeNCZZebzWMddnBTbiQBWhUBOhUH8ptwOEXMQ3aqW/qpaOyjrLGXpEhf\n+k3DvH20mqKabopqurlU00192yBJUX60dZto7zEToFXh4yV3ibn1D7lpk5M9kGq1Ej+1nLeP1HDy\nUjvx4Vq3ZENGfACrssJwOkVOFbfx5uFqmjoGEQSBQJ2KIxdaMVls3LUybtbP32xex7q2AT6+0MpX\nb09FelX/QFSwBpVCyp93lTIv0hc/zcRm67MZlyiK5Jd38Ow7RahVcgw9Zqqa+6fl/+tpXE6nyPPv\nXmJtTgQZ8Z/QhgN0Kt44VM3q7LBxm/suw+F08uyOIjYuiiIxwndacQXoVNS2DSAg4KWcHpNNrR7/\nWk2a9AHsdjuRkZHExcUhl8tpbW1lwYIFc5rw4UbSn218VuI6eamNmhYXe8dqc5Bf1oHWW8GDGxK5\nWN1FU6eRtm4Tbx6qZlVWGOtzw9m6r5LKpj4aDEYMPWb6jFaWpYdgsTooqOhg2ObAOvIjEQQy4wM4\nV97BnjMNrB4xKtH7elFY1cXC5CCP4lSrlQwN2Vyqn06R/fnNLEjSox6pzyvlUqJDNCxLD2VlVig2\nh5OTl9p463A15Y19fPvONLRqxayfv9m8jr4+ChanBeM9TnKJDtEQEuDN8YutLEia+LzNZlx/2lVK\nXqmBb2xKY3lGKGovOS/tLiU2VEvgJB7I041r2O7EaLaxcXHUqBWfQi6l0TCIn1ZJ0CQMrL15jfQZ\nrTywPtGjScV4cflrVNNO+JePPR4mNVH5xS9+wZEjR4iM/EQgShAEXn311WkH5ClumKjMLj4rcf3i\n5bM0GFybVQqZBKlU4PtfzCS/rJPDF5oRRQjQKrllSTSLU4NRq+SIoojdISKXeV4qaeky8a9/zuPJ\nLy8kKvgTU4nJmrQu4/L5qmsb4OSlNpxOkfLGPn76yIIJqXUDpmEMveZJZ3rTxWxdx+MXW3E4Rdbk\neObeVdnUR6BOhb927MneTOMSRZELVV1kJwRS2zZAdLBm1PUuru3mpT1l/PwfFk666vA0rvzyDpo6\nBlmdFY7FaiciyGfc2Dy5Z4pruwnx9ybQd/KBaaK4PjhRx7L0EI+OM96xx8OkQ8nJkyfZu3fvnM/q\nb+DvA05RpNHwCTtBRMRmE0kI98U0ZCc0wJttByrpN9mYP881q3Y6RZ565RxJUb6jaq2TITxQTUK4\njuMX23joZtdD0Nln4bkdl/j5l3KRST0bQGJDtcSGarE5HPxhZwlVzX3kXEUtFUURUYTXD1ZS1tCL\n0WLjsS3ZRIeM//B9mjAP2dlxrJYf3pvl8WfOlXfg4y1n0/LYWY+ns8/CK3vLMQ3ZiQ/XuXsjrkR6\nXAC3L42hz2idUtIfD06nyPbDVSxKDua947U0Ggbx16pIi/EnNdafsADvUYn+jx+WcP/6RPfex9XH\n2nu2kQ25ETP2PG7tMrH3bCM35c6NEuukd31kZOSNztsbmDV09Fq48m6SSiREhWiQSARyEvWsWxDB\nmpxwNq+Kw2tEiVIiEfDXKskrM+B0Tu1eXJkVyumSdrfxSqBOhUQCeVNkY5wr72Dbvkq+tzmDnES9\nm3//5qEq/u0vZzlY0IxEIqD1VnD3yjjW5oTzP2+Nrdo5V7A7nPzmzQv0G62TPrO7T9eTGRcwpUEp\nNzmIc1PY0PQUFY29PPXKOdJi/PnZowvQTVASW78ggtAAb45f0T8x3XNcXNeDTq0gKyGAi9VdfPuu\ndJZnhNLSZeJ3b13kYnU3piEbbd0mBEFg0DTMhcrOMY+1L7+R4tpupB5OJCbCwYJmlmeEzpksw6RH\n1el03HbbbeTk5KBQfHIxnn766TkJ6AY+36ho/ISJoVXLGTDZuHvNaHmCRzcmXfO5pWkhXKjqoqyx\nl7QYz5tlFiUH09RhxGpzoJBLEQSBW5dE88HJepamh3jceZoY6ctfPyrngZsSkcskvLS7DOuwg+Ro\nX25ZHEXqSEybVrhmwQuS9GTEB+Ctks2qfstEeP9EHQgCGrWCZ98pIiXaj/W5Edewh+wOJ6X1vXz/\n3swpHT8hQsegxZUEJ1JBnQqsww5CAtR8/95M4sM826R1OmHPmUYkgkBKtB8/+v0pvnJrCisyp6Ze\nKpUK3LIkiq37K/nimnhCA9SEBqhZmBzkWrkBFY19vLCzmIXJQaTFBnCuotO9R3QZbd0mPjrTyL/+\nQ+6Mr7PRYuN0cTtPfnnhjI4zESZN+itXrmTlypVzFsAN/H3hzBUz7EGTDQFYlhlGf9/YtMDLrelZ\nCQF4KaWcKWmfUtJXKqSjbBLBlZB3fFxDRWMfKR4KoOnUCuZF+nKuvJMVmaE8+eWFk4q3xYfpaDQM\n8vJH5Ty2JQvNGGWB2UJpfQ8nLrXx5JcXIREEtqxL4LUDlZy41MbDNycxL3L0/sLPv5Q7ZTqhRBC4\nb23CrAxgoiiy61Q9lU19/NP9ORPO7q+Gt0rG9zZn8KttBQT7eZMS7UdWwtSsJy1WO3Ejwnzt3RZW\nZo3upRAEAQFIifbjP7+xhF2n6tl9up6hYcc1cgkfnqrnzhWx6KdZfx/9d+GRjfMI9p87yY5x2Tud\nnZ2o1Wp0Oh0RERHX/Gg0c1+rvMHemV18FuJ6bX+FW0YZQO+rYvPaxGvisg47eP7dS7x9pJq1OeEo\nFTIMPRYKKjrZkBs5pWW0acjG09vOkxzlh4+XHIkgsDglGL2vF31GK0qFdMxEdvX5kkkllDf2kJ2o\n9zhh+njLKanr5cj5FhalBE9pI3o8jHUdz5YZWDc/gsiRjUiNt4KlaSFovRUU1nSRFR+I1eagtnWA\nP35YwqoszzZvr0ZEkA/WYceYpYepUCNfO1BJSV0P37k7Y1qGMlpvBb2DVkrqenjyywvpNQ5T2zpA\nyBjJcqy49p1t5HRJOxFBPuQmBU14PRVyKelxASxMDiIsUI2hx0xN6wCRQT6IiGTFBxIfrpvyIHp1\nXHaHk45eC+keqsxOduzxMO7Z/tnPfsaLL77Iww8/jCAI7t3ry/8eOnRoxoHdwN8Xhu0OrLbRmi6r\nssbuVlXIJZitdkxDdo4WtnDL4miWpAVT2zZA98DQlMoL3koZolPk+MVW7l3rKiVp1Qqqmvv47VsX\nsdmc+GuV6H29+NH92TQajDR3GlmSJeHKLbn58wJZkDS1hkSpRMI3N6Xyu7eLeG5HET/ckjXjjb4r\n4RRFKhp6r5GYBtdsNTc5iNzkIPpNwzz5l7Mo5BLunkHvgFMU+eWr5/jnh+ZPezZ6+Hwz7T1mHn9o\n/oxoifetS+Cm3HDMVjv9Rit/3VPGr761dNJBxCmKHLvYSrC/N4cLmnlkjHLiWND7ehGoU3Gptpt9\nZ5vYn9+ETCrwb19aOCurn/OVnew6Vc8vvrJoTtUOxj07L774IgD/+q//ytq1a+csgBv4+8GZ4vZr\nXludPXbSFwSB25dG87u3izhyvoWNi6JIifbjqa9O/YEQBIGVWWF8eLKOu1fFuVk7iRG+/P6HqzAN\n2enqt9BnHEYQBHqNVs6UGnj/RB3//tVF7iQiCAL55R109Vu4ZXG0x39fLpPyvc0ZvLCzGEOvxbW6\nkEtnhdK5/2wTBRUdPBHlN6E5i06t4Ef3Z1NQ2cmiVM9MasaCRBCYn6TnXEXHmAPNRDBabLT3mFmT\nE86anHCP2VNXw+kU+fPuUu5cEUuwn5rndhSRGuNPZLCGA+eauWPZxHGV1fciEQQa2gf55qbxhdDG\n+w7/914xv/7OMurbB3E6xWl/j6tx4FwTG3Ij51zeZtJof/3rX0/74N3d3axevZqamhoaGhp44IEH\nePDBB/m3f/s3nM6/bxW/sVDW0Mtbh681/P684PRVjBm1SoqP1/i13PTYAPy1Srr6h6ho7HPVWQUB\nQ68Zi3VqjI0lacFYhh1crO4e9bogCPh4yYkJ0ZKd4JJ1zk4I5LEtWUSHatl9umHU+4P9vK6RZfAE\nXkoZj92Xjd7Xiz9+UMKre8tnzIqraxvgo7wGvrkpzSM3rnC9D5uWx854VpqbFMS58rFZLOOhu3+I\np7cVcKmmG5lUMqNEuT+/iZZOEwEj/QJ3r4rj/RN1fGFxFHvzGjFaJhZHGzQPY3c42bwqbspSxhpv\nBfFhWgqru8iICyArYXakwGta+zH0WFiSNv0B2VN4RNl84oknePPNN9m5c6f7ZzLYbDZ+/vOfu/n9\nTz/9ND/4wQ94/fXXEUXxRnnoKtgdTl75qBy938w3gz6LcIoiNS2j/UBTYiauXUokAsvTXYyME0Vt\ngIvD/MSLZ8ibovKmWiUnN0nvsSepIAh8464MFFdpoEQFa/BRySmbhh6MoceM3e5EIZfSPWCldAaa\nMk5R5KXdZTxyc9K0G3imi6RIX/y1SjcNdjKIosjvd15iWXoId6+amSxFS6eRD07W8bXbU90DR4Te\nh6VpIeSXGbh/EqMam91JZnwAK7PCxi0tTobc5CC3jMhsob3bzMZFkbNa+hsPkyZ9Pz8Xu+HixYvk\n5eW5fybDM888w/33309QkKt1u6SkhEWLFgGwatUqTp06NZO4P3c4XNCM2ktGpN7HI9nevzXUtQ7g\nuCJHCAJsWRs/6eeWj9DwCio6sFhdzVuhAd6cKZm63PKXbknmgZs8b+4K0/twx7IYGg2Do2blyzND\nyS+bGl/d5Y16juZOI9++Kx2b3TltITFRFBGAx7ZkkeuhpMRsQiIR+H/3ZHq8Ke1qxhO4ZYnnJbHx\nsPt0A7ctjXZvWF/GnStiiQrWsDIrjH6jlf5x1EF3n67njYNV3LkidtpexQvm6alvG8Bmn55f8tUQ\nRZHlGaFTLpdNF5PuokyHj//uu+/i7+/PypUr+eMf/wiMbmNWq9UMDk7eru3n541skpFvonbjTxNT\nictksfHh6QZ+8fUlSCUSnnv3EneuTbxmlnm945pN7DrTMKopS+OtICXhk4Q1Xlx6vYb0+ACKa7op\na+5n45IY1i+MYtveckSZdFItlKtR19pPV5+Fhakhk78Z8PVT85M/nOYbd2WwNMM1AN1zUxJSieBx\niaK928Tv3rnIw7eksGKBy3FrxSUDgxb7tK7HwbMN1LYO8I27Mqb0udYuI28frCLI35u4MC1J0f74\nTrOzta61nxffu8Svvrti1OtXfx9RFNHrNWSnhsy49u10ivz40YVIJcKY7K3IcF9OXGyhsLITqVTC\nd7/4SbexXq9BFEUOnmsmLT5gRs+BXq/hlSe/MCu1fL1ew9aPytCpFWxaNfkkaDYwbtJPSUmhrKyM\nnJwc/P0/4UV7wt7ZsWMHgiBw+vRpysrKePzxx+np6XH/v8lkQqvVThpc7yRyup8VLZmrMZ24fvrw\nfPy9XfXFAK2SvSdrWZrmWWKay7hmA6IocqSgedRrcqnEHctkcS1NDUYuEfBRSOnsHCQ92rUB+tGJ\nWm6d4uzxeEETh88388y3lk0609PrNfT1mrh3TTwvvltEVICXeyCubOqjsKprUt9bm93Jv76Ux6rM\nMBYn6d3f846lUfzhgxJ+u+2cx+wRcJWIXt5Vyo/vz57ytdx1rBanw0FrxyB5l1pZlh7Cmpxwnn2n\niGB/b6KDNaTF+Y8pM3A1vKTQ0DZAaVWHm58+1nU8WthCz4CVzTMs6zS0D/LK3nJ+9mjuuNfNKYq8\ne6SK+Yl6PjhVz+qMEIL9vd1xHS5oxjJs54F1CTN+Dtp7zBRMYzP7Suj1Gppb+9h9opZ/msb1nOzY\n42HcoSo8PBy73Y5MJmPr1q28+uqrbN261f0zEV577TW2bdvG1q1bSUlJ4ZlnnmHVqlXustCxY8fI\nzc2d5tf5fKGmpZ99ZxtHURDX5ITz8eeoxNPWbb7GjCMm1POZ1tK0EP7fPZnuBqMgP2/iw7ScKbmW\nDTQZlmWE0mccprS+Z/I3jyA3SU+Qnxd7znyyqRsZ5MOFqk5Oj8FIugyn0yUQ981NadxxlV2iv1bF\n129P5eSlNo+NSkTRxW//4rpEwvVjC4ONhdMl7VQ29XHXylgevjmJRzcm8S+P5rJ2fgROUWRJWghS\nqcDHF1t5ett5j4zfpRIJ8+fpJ6xtW20OPjhRN2PfY5vdwZ93lbI0LWTCgVoiCDy8IYl9ZxtZmhbC\ne8dr3f/ndIrsyWtgwTy9Wx57JlDKpXxwsn7GMhuni9sJD1QTEzL5JHi2MG7SX7hwIRkZGRiNRtav\nX89NN93E+vXr3T9TxeOPP85zzz3Hfffdh81mY+PGjTMK/PMAp1Nk24HKa27kxSnBLEoN/txoHl2o\n6uTqZ3Vxysxq0esXRJCVEIjdMTUWmE6tIDshkI8vtk7+5hEIgsBDG+aNuk5eShnfvTuDNw5V0TKG\nvZ112MGvXj9PSV0PsaHaMWl4gToVMqmEbfs9syYctjnx16q4fYVns2ZRFNl5vJbth6qQSIQxY5BK\nJCxODebeNQk8/mAOD6xPRCH3rGyxMDmIqubxN8YPnmsiPlxHbOjMEtpHZxrx8ZKzPndyc/LoEA0L\nkoJwOp1ovBRulpXVZmdpWgjfmCJFczz4aZTEhGgorJ7Zhu7h8y1sWDg3wmrjYdzyztNPP83TTz/N\nt7/9bV544YVp/4ErVwXbtm2b9nE+jzhW1Ird4WTd/NHdkUqFlDU54Rh6LWN2GP6t4XxlJ1fn5tQp\nSCmAq0yyN6+B4roefvJgDktmUPpalR3Gs+8U0W8a9rj9PyxQzabAWFq6TIQHulZlEUE+3L8+geZO\n06iZt3nIxh/eL8FHJScpanwuviAIrFsQzu7TDZiGbG6d/rFgszvpM1r50i3JHm2g2uwOXt5TToNh\nkJ8+mkuQBwwfYcSHoLS+hwtVXTx408Sa8CkxfqTG+GEesnPgXBMP3Zo6SqKgrm2Qe1bPrKwjiiIX\na7p5dGOSx1TTzavjGLY58dMo6R20ovYZ5qMzjShkM6OKXo0lqcEcyG9mYfL0O61/uCULrfr6+idP\nGulMEv4NjI+hYTvvflzLQzeN7aHZ1mXil6+cu8aG728NpiEb9W2ja5VSiTBlo3CZVOBUcTtVzf2U\n1LlKM31GKwfPNWGzT222nxbjz5duSUY1iQvS1bDZXSqWRTVd7teWpYeyMMVF4RNFEUOPmZ+8cBqV\nUsa37kybNMnctTKOsAA1h67a87ga+/MbeedojcexOkXXZvm/PLLAo4R/JSKCfLhY3cX+SbyJJYJA\nXqmBX756jpqWfl76oJjth6oA10rne5szZkWY7V8eXTAlNVC1So5EIvDK3nL+/ZV8fvnyWQ6db75G\nf2imWJUdxuqcMKbrhrnz42oEgetup/nZNu/8HEOlkPHjB3Lc1n1XI1zvQ1igmrNT5KN/1tDYPoja\na/SCcjpa6IIguFUUL3P269sHef1gFf/33qUp0eckEoHlGaEgMqUSmlwm4d61Cbx+oGrU3zNZbGw7\nUMGfPiwlyM+Lxx+az3fuSveIfeUSR4tnz5mGcc2wewet7DvbxL0eUFzbuk38ZnshTqfIAzclTnlw\nBZeuzfe/mMmHJ+sprOoa930Op5NDBc30Dlr57t0ZbF6TQF6ZgdL6Hp744+kZT1j6TcM89co57FMc\n1AE0I/aYKVF+VDb24qOSz3rSl0okrMkOp6ZlYMrPaWl9D6/vq0AxC1pMU8WNpP8poNEwyP6zjddw\nja/Gmpwwjl7wvPb8WUSDwYjF6nr4L6/Op+NzCq5ZtSDAhaouBs3DZCcE8ujGJIpqunluxyWPm4XA\npbL44xdO8c7Rmikl/iWpwfj6KNh7tgmrzcHevEb+5U95BPl6UVTTRe2IENd4cDpFalsHRr2WFhOA\nj0pOZVP/mJ9556jLn3Uyempd2wBPbztPSrTflFcxVyNc78O37kwjv3z8ZHb4fAtmqx2pxLWilQVu\nTwAAIABJREFUCw1UsyQ1hJd2l5ERH4BhxFC9udPIqatM6T3BntMNhAR4T4u6LJEIPHTzPEobelif\nG8na+RFzJm8gCPDK3nKaOq7d2xkLZfU9/N97xfzwgfnTGpRnCo88cj8tfB5VNl3dicXofb0mnXkE\n+3lz5EILuclBKGeBs/9pnK/DF5rdD4NM4io7LJinH7XC8TQuL6XM3a7up1ESH6YjJlSLv0bJgfwm\naloHyE0K8qhuK5dJiAzy4a0jNXT0WshMCLimZjxWXIIgEB2ipaXTNZidLTPw6MYk7loZR2igmreO\nuBL01Qmm3zTMwXNN/HlXGdXNfSxLD6FnYAhvldwtL7HzeC0JEbprVkKiCCsyQ93fa6y4Kpv6+N1b\nF9myNoGbZkm/JcjPmwVJQXT0WbDZnaOEzIZtDuLCtGTGBVDd0o/dKWIacvD6gQqGhh109w9R2dzP\nmuxwSup7OFTQQn6ZgWXpEzNwLqNnYIiX95TzrU1pU5ZKuAx/jYrWbjMZCXqWpwXPWdIP0KpQyKRs\nP1zNsvSQCbtq7Q4nv3uniIdvnsea3Kg5ex5nbIz+aeHzmPT/9GEpbd1mvn5HGtJJbn6pVMLanPBp\nSc9ONa65wjtHqzGN0NouKyqvyAwd5Vk7lbikEoFzFZ0MGIfd3q7RIRqCfL3Yf64JRow1PEGQnzep\nMf7sPFFHdXM/OfP0owaM8eLSqRUkR/sRFuDN8oxQAnQuqZHQADWLR8TMXGrs0Nk/hFol57kdRQBs\nWZfApuWxmIZs/OKv59CpFUQGuUp5O4/XUts64B40nKLI4fMtLEkLHjXbHSuuYbuD+DAdS9OnvsEt\niiJVzf28fbSaqBANCpkEu/0TIbG9eY3sPl3P0rQQpFIJe/Ma2LrfZVS//XA1WrWCjQsjmZ8aQqif\nF7EhGr53TyZrRsxGIoN8WJ4Rwqnidgy9FtJiJ9/E3326Ab2vihWZ05NKuIzM+AAyk4Ln/L6PC9NS\n09pPc6dp3O/XaBhEq1awOiuMiCCfOX0epyWtfAOzj6KaLs6UGliYHOTxbr/N7uTZHUV89+6MGcnQ\nfhqw2hwYeocAkEsFbA5X1g+agb5QTmIgapWMxg4jjYZB9+CxND0EXx8FCRFTKx3FhWl54uH5bNtf\nydCwY0orqrFmjl5KGVv3VTBosdHaZUIpl/KzRxfwo/uzR71f463gxw/k8D9vFdJvGuYLi6N4eMM8\n3j5aQ0FFJ7nJQZwoaiOv1HANu+tKnCvvoKimm6/cljLlTVOb3cHpEgOHC5rp6LOwIjOUAK2S85Vd\n/GV3GTnzAlmSGszty6JpMAzyh/dLCPb34mhhK7GhWqJDNGxZl0CgzouTl9rw0faTEuVLZlwAe/Ma\niQ3VkBTlGoBlUle/wvGiVo9Mxu9aGTulct14uF6bpIIg8OVbUpBIXLP5q1ebpSMlnce2ZE27vDlb\nuFHTv04QRZH3T9Sxfn44pfU9DJg8G+EVcilOp8iZknZeP1hJcW335B/6jKD5ihqn3fFJ3XyqbJIr\nIZdJWZIagsZbTmff0Kj/S4nxRy6T0txp5H/euohpaGy1xUbDICeK2th5vBajxUZogJofP+Bybzpd\n0k7PwNCYn/MUdyyPQeMt5+EN8/jZowvc5ZurER6o5qcPLyCv1EBHn4VV2eHctjSaNw9X0W+08t6x\nWh7cMD5t8kRRG3/9qJzlGVOb3Xf2WegdtGKzOzl6oYVV2WH85rvLeXCESZabpOcnD+ag9Vbw8p5y\nnnjxDF+9NRWjeZiD55r57l3p/OSBHG5bGkOgznUtyxp6+ef/O8nZEU2iYZuDt6/aLwnQqbhrZRyV\nTX10949/jj84WUdLp+lTqXfPBEqFFKlUwi9fPUfZFc1/lxP+125L+dQTPtwo78wJxorrVHE75ys7\neey+bPoGh6lu6SfDQ4ccuUzC20eqqWjso6qpn5typ7cpdb3P18XqLopqRg9SSrmUzavjRsU/1bji\nw7XcuiSaiHG6UuvbB9hzpoFLNd0E6lQUVnWRX97hdiT61WvnOXGpjYqmPnqNVhYkuRrFnE6RNw5W\nsS+/kfTYAEL0PtM6XyqFjKz4QAJ9vSa9Tl5KGauyw/BWyjhyoYXa1gFkMgl9RitatYJ1869tSFKr\nlXx4vJZ3j9Xy2H3ZJHioyz9gHuaPH5Tw+sEqgvy9SIzwZXV2OLGh2lErT0EQ8NMoSY8L4OaFkaRE\n+xPs743Zamdpegjz513bWKeUS2npMvHATYlIBIGoYA0fnKwjxN/7mhXIkfMt7MtvHLO+395j5s+7\ny7h1SfSsrWyv530vCAJqLzkv7yljcWoIdoeTZ147z1dvSyFn3mgDnk+rvHMj6c8BvL0Vo+JyOJ38\n+s1Cgv28WZ0dTnSwD6/sLWdJavCoG7u5w0hemYGoIM2oev+lmm4ujOjAm612gny9iAyeumDU9T5f\nu0/V0tZjAeDytwkN8L4mkU01LoVMOuFmYLC/NzGhWg4VtHCyuJ3iuh66B4ZYNz8cqURCTIiWLyyO\nQq2Sc/h8CzEhGkL8vREEgUUpQVS39PP+iTrS4wPxniELxhMIgoDN7mTX6QYGzDaaO0xEBWk4X9np\n7jgeMA9jczgRAJ1WRYthgI2Looj28D6wWO38dnshSrmUH27J8rg5ThAEt2xBQrhu3IE2yM+Lzevm\nMTSyupLLJEglEvadbWRNdviowS8pypeTl9roGKO+v21/BSnRfrOqHjrd+97hdGKx2lFMUe44PFBN\nn3GYD07UsWFhJMszQsfsSr6R9MfA31rSb+ky0dFrIb+8g8PnmkiL8UcqlXDgbBMXa7r4wb1ZaNUK\nVAoZJouNkvoet3HHmZJ2nt1RREldLwFapbsZ5fjFVl47WMWVE8bzVV3UtPYjEQSCfL089ou93ufr\nlX0V7rKOUi7B4RSJD9e5NztnEpcoilQ29XG+smvMJXOwnze5yXqyEwPZsi6RO1fEuuu7/loVGm8F\nCeE6LlR2cr6yi3Xzw5GMqDfmJutp7zHz7tGaGTk8TQWuvxtEdXM/tW0D6H1VZMQFcLyojVPF7Vyo\n7OLQuWbeP1lPgM6LBYmBaKdgJl7W0EtTxyDfuydjzgzafXxGX8eoYB/MVjtxYdpR96hEIpAW48/W\nfRVEh2jcgm3NHUZ2HKvhW3elzwpb7TKme9/XtQ3wws7iMdlYkyE52o+6tkFiQ7X4j5i9zFZcnmCi\npC+In2GBl8lU5z5LKpvmIRtPvXKO3OQgNq+bx3+8nMewzck3NqXwH68WkBzlx/fv/UTq1Wix8dM/\nnuGnD8/naGErB8418cU18azICEWtkmO22vnL7lIKq7tHbYJeDS+llIXJQSxLDyUxYmJz5ut5vuwO\nJ9/476Pu329ZHMVHeY1sXBTJfetGa9pPJ65B8zCPPX8Spyjy1FcXExY4vc7P+vYB12AUNnrgsA47\nOFXWwbKUIJTXYbZ/GaIocr6yi6yEAGRSCRarna37Kqho6uNX33RJbwcG+tDTY/LoeE6nSIPBlXw8\n2UCdCca7jt39Q2jVimvIC42GQUIDvN0UR5vdQYPBSMIs171nct+PtSk7W5jL53Eilc0bM/1ZgNPp\n4t57q2R8+ZYUgvU+ZMf5Y+g18+reSgJ9VXzrzvRRpRyFXMqw3cn5yg5kUil3r45jWXooSrkUQRB4\n52gNp0aMQi5THfW+Kmx2J06niMZbTnigD519QzQYjJy41MaZUgPJUX7jzgCv5/lq6jTycaGrscxb\nKSVA50WjwciytJBrlrrTiUspl9LaZaKl08SJojbkMglx4wibTQRfHyX+GhVOUaTPOOy+RjKphEUZ\nYRhNQ6Poi7MBQ4+ZftPwmBLGgiAQFqh2l6/kMpeaZXZCIFq1kqKabqJCdVjH2aS+EqIosnV/BYcK\nmlmdHYZkjpksY11HURR55vULgIspdSV0Pkp6B6y8dqCSQJ0Xbd1mkqM8o9vONK7JUFzXTUFlJ0mR\nsx/PZXxaM/0b7J1ZwPsn6mjvNo/yKpVJJdy1Ig5BgEc3JqGQS0dpxNS1DdDaZaK4roc1OWGkjdRY\nnaLIGwcrOVjQjJdS4i7rqBRSbl0S5RYIGzTb+OamVH75tcXctjQaP42Sjl4LL39UPmX/1rlAWd0n\nG7jDdielI3o5s2kH+cjGJJakBjNsd7L9cDX/sbWA5jEULz3BS7tK+e83Llwj5/DrNwtHSSrPBl78\noISn/po/rrvT1RAEgWB/b+wOJx+crOf//foIJ4raJlUYffdYLUU13Xz/3szrru9yGYIgcMeyGD48\nVT+mZLPvyH37X2+cp7Z17I7k6w1RFPngRP0oxtnnCTeS/iwgKyGALeviOXiumX/7y1l++vuTGC02\n3jpShcMpEhKg5r3jtfzqtQK6+iwcu9jK09sKkMskbFwYxc7jdYCL1/7794o5cK4Zb6UUtUqBKLr0\nWXRqBfMi/eg3WdGMmK08t+MSYYFq7lkdz398fTE6HwV1bQPklX76ej2FVxiQ2x0iQyMP/EzomldD\nrZLzjU1p/OMXM/HTKKlrG+AXL+fz/ok6nM6pPbBL00No7zHzwcn6Ua+vyAhl/7mmKUsIjIdGwyD1\n7YN8Y1MaOh8lbd0mzB7M2sE1kXji4flsXpvArlP1/POLp8cd5A4VNHP0QguPbcly0yo/LcxP0uOn\nUbL9SPU1khcyqYRv3plGUqQfN+VeX4nh8VDZ1Edzp5H1E/RH/C3jRnlnmhBFkYKKTl47UMnpknYO\nn2+horGPAdMwHb1mCqu7KKvvZX1uBLlJQaRE+VHfNsAr+yoorOri/vXzuGd1HDGhWt4+Wk1SlC+7\nTzdwpsSAUi4hLdafmhaXRsu3707n4ZuT0HorqG7uJ8xfTUuXiUGzjZWZoXgpZcikEtQqGYVVXdS1\nDYy5AXk9z9creyu48vm2OZxIBIF71yZcw7yZaVwh/t6sygrDbLVT1zaAQiZl6RTb7oP8vOnqt3D0\nQivZCYHofJSo1Ur81HJOFRsYNA27KZ8zwa5TDUglgttx66XdZXx4qn5M+YWxIJEIZCYFsyRZj79W\nRUK4jkbDIMeLWokI8nEzTZRyCbkpQURfR3OOsa6jze6gtctERnwAR863kDNPf02HubdKzuLU6csT\nTyeuifDq3gqyEgPJTtBP/uYZ4AZ7ZwzMJOk3dRgxD9lmnalgtNj48FQ9r+wt5+PCVrr6hzBabKhV\nMtJi/enqt4AgMGi2IQJfvz0VHy85UqkEjVpBfnkHTlFk86p4dD5KpFIJcpmEXafqKazuRiKB25fG\ncGREaG1Zegi3L4txJ7CuPguHzreg8ZYzbHNS3tjrliOIDPKhsLoLQ48FuVTi7ob05HzNJsxWG7tP\nu0oiMqlAgM4L85CdQF8VGxdFXfP+2YhLLpOQlRBIcpQvS9NC3I091S39eCllHiWUeZG+nLjURnlD\nHyuzQvHxUWGx2NB6y9nxcS3LM0JmzB0/eqGFJWkh7k7i7MRAmjuNvHmoGi+FjLiwyfcl1GolFssw\n4YFqpBKBPqOVI+dbePtoDYYeMw3tgyxKDcZfMzZrZM4gkWAbtpNXauC9Y7UuA5cj1Ry90Ep8uJZH\nNiahUkhpNBg9dq9yOl2bz9Ut/Rh6LW6mz1QwlfvLKYp09Fq4aUHErMmfzEZc0zn2ePjcJv2Cig5e\n2l1GarT/rNijgYu3+9u3LpJXasA8ZEcqEViVGcYX18Zzy6IoPjxVz+1LY3joC8kcOufSIj9T0o5M\nKkEiEYgP07EhN4JlGaGEBahp7jAiIlLR2EteaQcSAb50azJvHalBFF3OSj9+MOcqjrMf+WUGuges\nSCUCA6ZhblkahVQiwTRkJzpYw8lL7dS2DbA8I3RUkrpeSf/ohRaK6z7pSEyK8qWt20xsiIZl6aHX\nvH824wrUeeGtcn3nAfMw/7m1gI8vthKgVREa4D1hQlXIpQToVBwsaCZQpyIlLhCzeZjQQDXmITsx\nodoJjU48weLUYCKDfNxxyKSujVo/jZLth6ux2pxjcuhtdidSicCwzYEoCDiu2Hvw0yhZmRnGvAhf\nKhv7SInxdxu9XC8cOd/MscJWMuL8qWsbwDLsIDshkI2LotiyNoEIvZp3j9WiVsl45rXzhAWqJ5WN\n6B208pvtF/DTKOkZsPKnXaXUtw0SE6JBPQURtqncX6YhO5nxgXOe8OFG0h8TM0n6sSMP6J8+LCU+\nXOtxXbN30MqrIzrXwVe5Vu06Wc+p4na8FFJ8vOQ8882lLEoNRuMl57dvXSQpypd718TzxsEqUqP8\nGDTb6DMOU1zXw7DNwfx5eqRSCWqVHKvNwa/fLOS9Y3V0DwxhHrIToFPS3GGi1ziMVCLw719ZNGYr\ner1hkBB/b9p7zDicrr0AAfjFX/O5e1UcXX1DNHeaMFlszL+iC/B6Jf2XdpdhtLjq1Fq1grgwLXVt\ng6TFBpCVcK1f6lzF1Tdopbyxl7ZuM/nlHdS3DxIfrpswcYcFeBMVrGFRcrCbdy4IAulxAahVcuwO\np0cqkWNh9+l6NN7ya1afLuVODdmJgcSGafFWyXh623n2nm1k16l63jteywcn67hjeQydfRZ+8n8n\nyUkMvOY4AToVi1KCp5Xw7Q4nL7xfzKXa7lH3jCdwOJ28sLOE9IQAEsK0RAdryEoIJC5Mi97XC6XC\nxUj7864ywgLVLEkL4U+7SpkX6esWq7sa9e0D/PcbF4gJ1bIhN5KYUC0rMkKpbuln6/5KfLzkE9ow\nOp0i9e2DnCpu41JtD9FBPpMKHLZ1m/jZn/JYOz98yg1Z08GNpD8GZlrTjw7REOTnxa7TDSzPCJ10\n2ZxXauB/37lIZ98QF2u6WZ0V5i4LVDf38+fdpYCrhnzf+kSiQ7QMWe28+EEJUonAt+5Mp8lg5I1D\nVWTGB9DWbcY0ZEcUXY1bFY19xIRqySsxjFA8pYT4e9HUYcJbKWVgZJDw81Hw2H3ZhAWO3f2okEv5\nuLCFH92Xw7mKTqqb+ymq6STYX43D6WTDwkiOFrbQYDCSlRDgXulcr6S/4+NqN/Phqa8uorqln7q2\nQRalBI8piDZXcfl4yVmZGYZWraCquZ+WThMfF7Yi4KIPjpW8BUEgNECNIAgM2Z2IVzBk3jpSzemS\ndrdsw1TQ3mPm+XcvsSIzdNyVp1atwMfLJbU8YB4mMcKX7MRAlmeEsG5+BH4aJWqVjAaDkf35TSxJ\nC5mW1vzVcDidvPhBCWX1vdS2DrA0PWRKK5qzZQbOlhl4/JGFOMYRSZNIBPpNw1yo6uKBmxJRq2T8\n9aNyshIDr6GuFtd28z9vFbFxURT3r090N3apFDJyEvVkxgXgr1Xi4y0nr9TgHuS6RhRNS+p6+OWr\n5zhxqQ2pRIJUKiE5yndS2u3bR2sI8feekRXnVHAj6Y+B2djIDQtUszw9lKFhB8W13WMuKY0WG3/Z\nU8bu0w3cuiSab25K49jFVvqNw2TEBWAesvOb7YWYh+wIAkTofdi4KApBgO/97jjd/RayE/U0dRh5\neU8ZWrUSk8WG2kvOP34xk+qWfvqNwxgtNg7kN9E7aGV5eghmq4PKpn6cIqOar1Jj/Ni4KHrc7xSo\nVbHnTCO5KUFYhmw0GIzYHCKPbExiz+lG7lgRy5DVQXVLP21dJveAdz2SviiKvHuszv37/esTOXy+\nhY5eC2tywsdsoprLuARBIDZUy4qMEPqNwzQajJQ19HKuooPUGL9x93yKarr46R9OkRbr7+6olEoE\n3jpczYIk/ZS6YQE+OtPAsM3BnStiPdpgnhfpS1yYlsggH4L9vfHXqhAEAYkgsHZhFAfPNlJU3cXi\n1OBprzwuY9epevLLOnj8ofmszQmfklqnKIq8tLuMnAQ9qxdETngdfTVK3jtWy4IkPVkJgeh8XKvA\nyxMrURRxOEUUcikJ4TpWXyXf4D6OjxKdj5KuPgt/2V3G0cJW9p1tYvfpBlZnhaHTKMmIDeCBmxJZ\nmh7C2kXR9A9Y2H6omoRw3Zj7Oz0DQ/z1o3K+fnvqlK/tdHEj6Y+B2WLvCIJAW7eJ3+8sRiaVjGrb\nL67r5rfbCzFb7fxgSxaLU0OQyyTo/bx481AVOYmBvHuslspmF4dY76vipw/n4qWU8fGFViqaXIYY\nBZWdXKjqwuEUefJri1maGsyq7DC03grSY/24WN1Nv2nY1eovQGFNNx19FkTR5bwTHezD0LAdiQCt\nXWbq2gZo7jTR1GFEp1agVskxWmwIgqsOnBTlS2iAGofT1cEJUFrXg0opIzzQh0UpwRy72Epbj5mI\nEevF65H0DxU0can2k3p+TKiWs2UdmCw2bl8WM6YR+fWIS6WQsSApiMQIHTWtA9jsDm5bGjPu7E/n\no+BIYSv9pmEWjujABPp6UdXcR1Vz/zVSEhPB7nDy0q5SNiyMIi5s5t2mvjov4oN92HW6AYVcek03\nsae4TJ+MDtawYJ6eCL0PWrWCRsMgNrvTI5XLQbONk5faeXBDIvoA9YTXUatWUFTThcliJz0ugKhg\nDQ6nk237K4gK1rBtfyW1bQMsTA72aOBRe8lZkxOGSiFjUUoQD9+chI+3AqVcir9W5R4M1Wolg0Yr\nRy60cPhCM/Pn6a/pst5zpgFvpey60kZvJP0xMJuUTZ2Pkoz4AF7dV8GQ1U5MqIY3D1XxxsEqVmSG\n8p270gm4ou4f4u9No2GQw+ebqRixsVPJpfz71xbjrZRRUtfDy3vK+MptqRTVdOPro+DWJVG0d5sp\nqunGWyXjbJmBHUdreOfjWoZtDmRSySjOuo+XnGG7k58+PJ/C6i56B4dBEBBF11K1uqWf4toeMuMD\nCPLz5sC5Jv7wfgnDdicp0X6U1ffyztFqAn1VDJhs2B1O4kK1tHSZWJoWgkohpaim203h1GhUc55c\nX/ywBPPQJ16v961L4P3jdYgibFkbP2aSvZ5UUr2vF6uzwsiMD5yQIimTShAFgcMFTSxP/4QNFOLv\ncsfKiAvw2Ov3QlUXeWUGvnZ7yoSuSp5CrVaC00lOop70WP9rHL88gSiKvHagkvr2QdLjAkbNbn+/\ns5jmDqNHtX2lQsqanDDUXnKPrmNCuI6shEB3zVwQ4OQll2y4VCrw4IZ5U9pElUokRI8I5o3H0FKr\nlViHbOQmB1He2MtHZxrJSQwcRXJIjNCREuN/XTZwr4zrRtK/CrPN09eqFSyYp2fH0RoOnW+hscPI\nugURzE/UI5dJ3RtOl+GrUbD/bDPg2hj+0f3Z+GtVtHaZ+O1bF1mTHcZHeY0E+aoI8vXidEkHHb0u\nrfILlV0MWe1kJwZy14pYNq+O51RJGwuTg7hlcTT+GgXljX0o5BJE4FJtD34aJf/97aWkxPiTV2rA\n4RT5x3syiAlxufLUtbl0Yk4Vt3PkfAvnKjqJCPLhB/dmsTevERFXqaqt28zq7HASInScr+jE0GvB\nSyElKyloTpOrw+nkzUPV7t9jQjUsSNKzP78JrVrB7ctixvzc9e63kEoEd1lnwDTMR3kNzIvyvaaU\nkBQbwIfHawHcHH0/jRLTkI1Ancpj+mCgTkVqjD8hUzQ5GQ+Xz9dlG8E/7ypFIZcSPImH7mWIosjb\nR2r4+GIrm5bHXrOZ6uej5J2jtSyZpLbf3Glk16l60kYGHk+uo1atQAD6RyQvJIJATmIgvj5KHlif\nOCVWjqe4HJdUIrAgSU+jYZA+o9VtV3q2zIBUIkzqQTxXcc3VscfD311Hrq+PEqvdicMpcu+aBBra\nBnllbzn//OJpnn3HZWm361Q9hwqa2T6SwATge5vT0Pt6Ud7Qy+/evkiQr4rjRa2oVTIu1nSTV2ag\ns8+CTCogl0nQquW0dZvx0yhJivJj54k6MuMD+fKtKSxODaazz4pKIWVtdrhboyYl2heFXIrGS+7m\ns/95dxk/eO4Ev3mzkPyyDsxDdp788kLmRfricIpUNvVjHrKTHOW6gTXeCrISAjld0o5UIuG+kSag\nD0/V0zfoWdv/dFHdPLqNPjXan85el7TybHbizhZEUeS/37zABydd1/tqBPp6sTAliGMXW0etXh68\naR6pMf7jmrRcCfOQDbtDnNQPebqQjEgf/+H9Ylq7PBNh23m8joMFzfzjPZljxpUW6090iA97Tk8s\nP7Evr5GmDuOUJR627q9k2/5K9+8KuZQ1OeGzsik9GaQSCV++NYVbl0TT3GmkurmfV/dW0OehqdHn\nAXOW9B0OB0888QT3338/Dz30EI2NjZSUlLBy5UoeeeQRHnnkEfbs2TNXf35MWIcd/Hb7BXoHrdy9\nKo6UaD+qW/pJjvLjl19bzDc3pQEQrlez50w99e0uBTxvlYw/7yrnl6+e43dvX6RnwCVyZrY6aO02\nI4owNOxAJhW4bWkMUomAwyGSGKHjlb0VvLa/kgWJgdy7xpWAS+t7KKzu4vZlMe66o1QikF/Wwbd+\n/TFPvpzPmZJ2okM0mIfsfGFRJAtTgjFbbXT1Wzhf2Ul7j5l718Qjl0nw16q4e2Us4GKJhAV683Fh\nC6Iokh4XQEZcAEPDDl7bVz6n57e1a7QkwMJkPR19I0l/FjV3ZguCIHDXijgAdnxcQ0ev+Zr3bFwY\nxYqMUBzO0To3jYZBfvLCKcobeif8GwfPNfNfr5+fvaDHwD2r40mK9OPZd4rcVNnxUFLfw54zDXxv\nc/q4mvouvZxYTl5qG9fhqnfQyplSAxsXX9tsNxmWpAZTVNNNn4faQ7MNyYiTWUldD09vKyDIz4tU\nD32VPw+Ys/LO4cOHqaur4w9/+AMRERE8//zz+Pj4kJqaylNPPcXmzZtJTEyc8BizWd4xD9n57VuF\n9A0OI5MKPPqFJLRqBZnxARTXdvP6wUr6jcMkRfrR3T/ExxfbAFdHqUSAth4LWrWC3kErIuClkKJV\nK7AOO1DIJAgS+PED81mSGkxt2yBNHUaiQzSkxfhz6HwzfUYruclByKQSnn+3GIVcwubVcfzxQxcN\n9IH1iXzplmSSo33d5tlrssMx9Jopa+gd8db0Ja/UQHljHynRfjy4YR6l9T2Yh+wkRflTzj0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jw5XVaPj6cLz84eelEJ4445+zc/PoD1gm0Z942PwsdDS1F5I98fLOV6lNc2k1tUy8zUKJqNtjem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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d2d1550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"time\", y=\"firing_rate\",\n",
" size=\"coherence\", style=\"choice\",\n",
" sizes=(1, 2),\n",
" data=dots);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"While the ``size`` variable will typically be numeric, it's also possible to map a categorical variable with the width of the lines. Be cautious when doing so, because it will be very difficult to distinguish much more than \"thick\" vs \"thin\" lines. However, dashes can be hard to perceive when lines have considerable high-frequency variability, so using different widths may be helpful:"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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jSR1+fm8XCo+xmTdu/h5IWWG//293TQtqjudZx2KlDPE3Xj4uLb+USLjYiK7p\nNUaUFbaBphnrKh/o1zAFXFVNQiKBMj0NkjBuNytzRyd6TpyEvr1z2PPhpGoKBFAEDd9NxFA0+rKz\nQfX02D+w35sDrdFAk50DxuZh40x49w7PlOOXvYetPxMEgcXXDN16j6IofP7mDo4uzW33r4NUNrnS\nCcNB16dDSWYeCg5fQJeNXMIlFtyxHKSdJkOUyYz8nYc5bp34NfMgVlw+6YcESSD1N9fg1NvfwXCx\n21dvtwHVZZ2YvpR1W7XZSC/IvVwHyD4LCALy+DgIXV2hyS8AKMvbAqPXo27fYZDubiCkUvafjP1Z\nILII5fVP1ZT5eYEcZrUvwzDQ5ObC3ME+YAQiEVSz00EoFANcRLROj76sLFA6y9uLuaMT2vxCyJMT\nnR5n4Y3+KCkoyMc777yBt956H2VlJXjttb+DIAiIxWK89tqrAFijYjab8dxz29Dc3ASCIPDkk39B\naGjYpM19KmPQG5B56KR1PD0tBZ5eQ+fVH/ruCEdeYfq8FCTPdqw+OVlcWtUXHM5B+ZkSjsa9LQmL\npiE0JcLutcp/OQdNW79snWT750wGUhcFUlbNxLkdx0BTlidUe3MfarJKELF4Ogy9Wo70sz3tfHGA\nP0iVEn3ns0Ff7KLG0DTHGPeHkEkhDgwE5EqYNWzx13BdOwzDQFdYBFNzC7uRJKFMmwlSObjrjZBJ\nEbh0Hmr3HbY+oIwNDSDkMsiinJtRxRv9UfDf//4H+/fvgVRqCYT985+v4tFHn0B0dCy+++5r/Pvf\n/8Y99zxoPf7kyUxQFIV3392OM2dO4f3338bzz/99sqY/pTl57DSnJeKya4cOYna0dGL3J2xOvkQm\nwa2/v8Wp8xsLZqMZ+97+FtU5AytRLxGUEIq5a+bAO9Z+Y+7uulZU9yvCil9zecqaMwwDUt2OqHgv\nlOazxr1s32nIPVw4PXsB1p8/FKRKBdXcOdBeyIOpzXGjFlqnh768AppuPWf7cFM19eUVMNTaNHUR\nCKCcMR1CN/tNaKSe7lBOn4a+c6y0tb6sHKRcDnGA89JEp7TR3/9/e5F3JNfxgSMgalYc5t2+1O4x\ngYFBeP75v+PZZ58GADzzzAvw8rLonVAUBYmE6zoIDg4FRVGgaRoajcapvVOvdA7sO2L9WSQWYf7S\nuYMexzAMdvxrJ0f//obfXg93bzenz3E00BSN/e98P6jBl7nIEb8gBYmLpsHV191hmz2Lts4RbhHW\njfMgmeQe7JvBAAAgAElEQVRsnaEwNTWD1mjg5ilHSJQ7astZiYi8HYeg9GWDtKRICPdwx352QiSC\nYmYqjA2NINRd0Kl7Qev1YOwEdg1aNphKCAnQHW2gFVKrpPOg59TWQV/O/T9TpCRD5GVf/+gSIh9v\nyBLioStkK8Q1uXkgpFIIPZxTO8Jbn1GwePEyNDWxAZ9LBj8v7wK++WYHvvji80tvbAAAmUyG5uZG\n3HHHrVCru/HKK69N9JSvCHrUvTh9nG0HOHv+rCFlFy6cyEX+abZLU0h0MBatHtr3P5kwNIMDH+xG\n1fkyzvbgpHAkLp6G8NRou777/lQcOA9NK2s4fRLC4DdtcoqwHMEwDHQ21bd+wW5gPHxQd7oEgOUB\n1tPQbt3vERUwrG5gACAQCCAJCoR3apz1IcnQNGi9wfIA0OtAabQwNjTC3KeBycB+aSUyIQwVlTBU\nVIKQy0FIJRb/v1QKQmL5mTEaoS0o5NxTFh834lW6NDQEtFYLQ3XNpV8K+s5nW1I5FY5lRUbKlDb6\nK+++DjNuvDxeWQ8c+Akff7wdr7zyOjw8uI2Td+z4DOnpc7Bp04NoaWnGww9vxn/+88WANwIe+xw7\neBxmM/uqv/y6xUMeu+ez/dafBYTgss3JZxgGxz77BSUn2AcUKSJxwx/WIyjevgtnMHoa2lF1hNUj\nEsokSLhpcouw7KGvrALdx83Lj4uNhU6t5ejmX8KRa8cRAoIAKZeBlMsAWFbS0qhIdGcXArU2xWsy\ntgsardUOKwVTGhkBadjI/88AQBYXC1qrg6nV0o+XMZnQd/Y8VHMyQIjHVzr68vsWTEH279+Dr7/e\ngTfffA+BgQNzv1UqFygUloCOi4srzGYzRzOGZ3gcsMnaUSgVSJ87eLpiU00zJ3g779q5CIlyjgTv\nWDn9bSZyfz5nHQsIAa59YO2oDD5tppDXTzI5/oY5k6KtMxzMXd3Ql5WzGy5W3xIkgWl3LIPSb2CA\n3hkN0AUCAXRdfbYbIPUYmcy0ODgI0uioMc1BMS0ZpCsr4U1rtTBUVY/6mkPBG/0xQlEUXn/9f6HV\narF16xN48MH78MYbbwAAnn32aTQ3N2P9+jtQWlqM+++/Bw89tAn33fcAZBNcej3VaW1uQ242uxpe\nuGzekC0Kzx05zxnPXWm/E9pkkbP/DM58f5yzbfm9q4fV9WowKg/noK+ZzVLxjguB/yiv5WwYkwma\nC7mcuIM8Pg6EzOI/F0rEmPG7ayFWsd8TpZ8HZO7cRiYMTUPX0gFjz+g1dxiG4ejtyAN94LZkEZRp\nMyEJC4XIzxekmxsEUumAHHsAEPn6Qp4wdPev4SIQCqGcOYMTQ3BG7v6Udu9MJv7+AXj//Y8AAHv3\nHuTsuxRoe+qpv1m3PfvsSxM5vSuOQz8d5eTaD5W1wzAMzh1ljb53gBdCoke2OuxsbMfeN79Fb7sa\nvpEBCE2OQEhKBDyDvMfNTVJ4NBeZn3HbPC68cwVi5yYOcYZ99Oo+VNk0RhdKxUi4acFl6dZhGAba\ngiLQOjYLS+TrA3Ew9y1Z5qbEzI2rUPDNUVAGExJvXjDgOg37T6CvyvJWJwvwhlt8BFSRQSBGkCyh\nb+0EpWOrnJWhFukFkbcXRN7cgCzDMGAMRtAGPWi9HgKShNDTc9x+z4REAmXGLOhKyyAgCEgjxz/F\nljf6PFOCgzZZO57eHkiZMXiufV15PVob2DS9tEUzR/SF1Pfp8OM/dqKnzVLx21BUi4aiWpzYcRgK\ndxVCk8MRkhKB4IQwSEZZ5FRxtgSHtu/lbMu4eQFSls8c1fUAS/DWNqc/ZlUGpK7jHwQcD4yNjTA2\nsStrgVQKedLgRUkuAZ6Y8+BNg16nt7LeavABQNfYBl1jG1oyz8MlJhRu8ZGQejnO1hqgqhkydCBW\nIBBAIJVYKoVd7adkjhZSLodyun3F2LHAG32ey57qylqUl7LKi0uuWTikoubZw+c445mLht9Ok6Zo\n7P/X91aD3x9NVy8Kj+ai8GguBIQAIUnhmLN+MbwGafU3GAzNoODIBRz99GfOW8v0a2ch7cbBU0+H\ng6atGw1nS6xjpa87gtJiR309Z0JpNNAWcBvYKKYljzhYydA02rPyBt1HG0zozitHd145pD4eMKcn\ngAjwHXL1b6uqKXJRXDG9cIeCN/o8lz22q3xgaK0dmqZx7ijb7DswPAD+ocPXTjn+5SHUFVRbxwo3\nBQABNN0D/cUMzaAmtxK1+VVIXjYDGTctsLvyb61qxpGP96Olkruq9PJ2g5tEhNoTBVD6uEHh6w6J\nSj6it5Oy/Wc4wdvolekjVpecCBiatvjxbfKZpZEREHmMvFNZT2kNjN1shpzEwxXGnj4w/SqY9a2d\nKP8xE2I3FQJWzIbUm3svs1YPfSsbB1GGjl8HrssVpxr9tWvXQqWyPDWDgoJw22234fnnnwdJkpg/\nfz4efPBBB1fgudphGAYH9x+2joNDgxAdN3jOeWVhFbrb2VX6SFb5xZl5uLCf7cokFAtx57O/A6lS\noqOuDTV5lajNrURTWT1oig2uMTSD3J/PofRUIebcuhgJC1M4zUz0Gj1O7TyC/EPZHA0cAFBKRXAj\nBWg4XczZLpSKETInAZHL0xymmXbXtaIlv8o6dgv1hXf82NIa+0PpDegpq4WuuQOkTAxFkB9kAd4g\nxSLHJ9ugKy0DpWbFyEg3N0hHITlAUxTazrDplQIhieAbF0EgFKKnrAbqwkro27o45xi7e1H99QF4\nz06Gx7RYq2HX1DVzjrvSGqYMhtOMvuGivvUnn3xi3bZmzRq8+eabCA4Oxn333YeCggIkJo4ucMVz\ndVCYV4ymBlbTZOm1i4ZcifXP2hmu0W+paMShj/Zxti2753r4Rwagra0XXiE+8ArxwczrZ8OoM6C+\nsAZ5B85z3gr0vToc+nAvCg7nYOGdK+Ab7o+izDyc2HEI+l5uM28BAHelDB5K6aCfxaw3ovJQDkw6\nI+LXzBvy8zIMg7K9pznbYq7LGJeVKkPT0NQ1Q11chb6qRk4WSVduGUAIIPPxhDzIF4pgX8h8PO1e\nz9TewU0/FAqhmJYyqjcSdWElzL1s3rx7cgyEckuWj3tiFNwTo6Bv60J3USV6SmtAGy9W2tI02k5c\ngKa2GQHLMiBUyDiuHYGQhDzAOY3WLyecZvSLi4uh0+lw1113wWw2Y8uWLTAajQgJsaxC5s+fj5Mn\nT/JGn8cuA107g2ftUBSF88fY7JXwuDB4+dk3RACg6e7Dnje+4TQYn3nDHERnxA96vFgmQcTMGITP\niEbluVJkfn4Ave3s6rW1qgk7//YxXH3doW7pGnC+QiKCt4scYrEQ/tOj0NfaDU1rFyijecCxdacK\nofB2Q+i8wYPWHWX16KxkK8O940PgHjb6jlEAYOjqgbq4Cj0l1TBr9UMfSDPQNbdD19yOjrMFIERC\ntIX7QxoWBFV4EAQ2byi0wQhNLlcuRZGYcLFAamTQJjPaz7JVsIRYBM/UgfELqbc7/LxnwistEZ3H\nz6OzjC300ta3oOrL/fBbnMZZ6csDfUaU9TNVcdonlEqluPvuu7Fu3TpUV1fj3nvvhYsLW3igUChQ\nVzew4s4Wd3c5hA7Kz729Jz7oYjKZsHXrVjQ0NMBoNGLz5s3w8/PDpk2bEBYWBgDYsGEDVq1aZT2H\noii8+OKLyM/Ph9FoxJYtW7BkyZIJn/tk/L6Gw2DzMpnMOHKA1cFPmh6P6TMGD1DmnMxHn5r1vS+6\nfo7Dz2o2mfHdi//l+OxjZsVi9e9Xgbi4ArV3DZ/r0jBz6TRk7jyKzK+OwmxjuPsbfBcvFygoGsqL\nUr2hs2Ix/77rAVxMYezshbqxA20Vjcjbdcp6XsmPJxEQ6YeAZG7TEy9PJU7/zEpSQABk3L4EbqP8\n/zX0alDy7RGoqxqHPIYUi0AZB2/2QZvM6CytA0rrIFbK4TczFn4z4yBWyNBwIIejeeMSGQq/aTGj\nmmdd5gWrHDEABM9LgV+wPZ0bFfxCrkHTmUJU/nQazMV4AqU3oGEft0bCLzF8wr8fk/F9dJrRDw8P\nR2hoKAQCAcLDw6FSqdDdzfpbNRoN5yEwGF1d9kufHQlPOYvdu3+ARKLAP//5HtTqbmzc+Cts3Hgv\n1q27Axs2/No6L9u57dmzC729Orz55r/R1taKQ4d+QVKS/QYY481k/b4cMdS8Tp84h64O9m9m0fIF\nQ87/4A/sw0FACBAzI97uZ2UYBge370V9MbvwcPP3wKK7rkNHh8buvPqTdE06QlJjkPnFQVSeLeXs\nI0UkZqyaDRllRtM5VlvHNy2u37UFEPl5IcDPC3oTjbJ9p63zPPrOLmTcv9YqPObtrULegRx01bGp\nqQGpMTBJJKP6/2VoGjXfHoC+ZRD5YYEAihA/uMaFQxkWAMZkhrahDZr6ZmjqW2BSDwxyG/u0qD2S\njdpjOZB7ukBCUhBJSQgEAouOTUTUqOZJGYyozbxgHZMyCcSRoQ6v5e2tgig8BKG3uqDx55Mwdg7e\n5ITxcJ/Q74czv4/2HiZOM/o7d+5EaWkpnnnmGbS0tECn00Eul6O2thbBwcHIzMwccyD3k3/uwPH9\npx0fOAJSF0zHzfessXvMkiXLsWQJ25OVJIUoKSlCbW0NMjOPICoqAr///UOQy9k86aysk4iMjMIT\nTzwMhmHw6KN/HNd5X4kc6N8sZfnggmkmowk5x1n3QXRyFFw97OdQ5/1yHkU20sNiuQTXP3wLJPLR\n5d67eLth1ZabUZtfheNfHERHfRtCUyKx4FfLIVfKcOTF/1qPdQ32gZudNM/wRdOgae1C40UBNrPB\nhPP/2YfZ96+FWCkDZaZQ9hMbdBaQBKJWjD7Hvyu/fIDBF7u7wDUuHK4xoRAqbNwwJAlVZBBUF1tN\nGns00Na3QFPXjL7qRutKGgBAM9C2qaEFQIoIKNxk8J6TAsEoXSidF0o47Q89Z8SPKJgs9XRD2K0r\n0HryArrzyjn7xO4uELuMTHphquI0o3/rrbfiz3/+MzZs2ACBQIAXXngBBEHg8ccfB0VRmD9/PqZN\nc14BgjORX2xirNVq8Je/PIl7790Mk8mI1avXIi4uHjt3fort2/+NBx98xHqOWt2N+vo6vPLK68jJ\nOY8XXvgr3n7735P1ES57zGYzjh9h3Rwz0qfBw2twqdnCs0XQ2/if0xwEcPs6e5H5hU0VtQBYuelG\nuPs7jgE4IiQpHCHP3Q2z0QThRYNUeTiHUzg1lI/eOh2BAIk3L4S2owfdNZYgtq6zF9mf/oxZ91yP\n8qN50HWyK8SQ2QkD5AmGi6lXg7ZTbL67QEgiePUiyPy9hhUQFrsoIE6IgFtCBNwUIlRk5qI7vwKm\nXg3nOMpEo6dNAzKvAj7zU0ccbDZr9ejMYd+ihAoZ3BJHrnVDCIXwWzATymB/NB08DUpvSThxjQ0b\n8bWmKk4z+mKxGK+++uqA7Tt27Bi3e9z58Hpce8fk9DptaWnG1q1P4KabbsU111yL3t5ea3rqihUr\n8PTTz3COd3V1xdy5FrXD1NSZqKurHeSqPJeoLKvmNEtZsHTovq5nbbJ2CJLA9Pn2FxNlWYUcIzxn\n3WKEjrP08CWDT1M06k6ymkESlXxYTckJIYnUOy1tBHVdFgPfXd2M/J1H0GUTvCUlIkQsHX5qqi0M\nw6D5yDkwNsqlXulJo85gEcml8EyNh2tUMNp/OQZttxZGHTdA3ZVXBqFSBs/UwQPlQ9GRXcSd56xE\nECOQm+6PMiwA4bevRHdhFUiJCG6Jl6f0tDO4/Co4pgCdnR147LEHsXnzFqxebXEFPfbYgygstOQO\nnzx5ErGxcZxzUlKm4+RJS+CorKwUvr6+EzvpKUZhHjd3PWna4EZCrzMgL4vN2U6YGQeFyr78QOkp\ntiJU7qpA6nXpY5ipfVoLq6FXs6ve4NkJwzZWYqUMM363EqSEdWE05ZRD38PGusIXTht1z9ve8lqO\nBIHU2x0eKaMLsF6CNpmgOZ8NiZSAu58SnkEqKP25b2htJ3OhLqke9jVNvVp057PuGJGrEq6xjh+c\njhDKZfBKS4B7cvRlWczmLK78/CQn8PHHH6K3txcfffQBPvroAwDAli2P4o03/gGhUIiAAD88/LDF\nZ//oow/glVdexw033IT//d8Xcd99vwPDMHj88a2T+REue4ryWFkBhUKOkPDBRdPyTuXBZGAzSmYu\nsu/b7m7uRFs1m6YXlR5nzdRxBjXHbYqISAJBQ6SCDoXS1wPT7liG8x/t5yhSApaHQuj85FHNi9Ib\n0JLJVi9DIIDfklljMn4MTUOTncPRnpd4ecArYxY688rQdoINwjYdOg1SJoHSjs7NJdrPFYCxKYjz\nTk/ipITyjAze6I+CRx55HI888viA7e++ux0ANyr/2mtvW/dv3bptYiZ4BVCUz670YxNjhjTMZw+z\nrh2RRISUOfaNYFkWV/clZnbCGGZpn56GdnTbPGD8p0eNqmWhd2wI4q6fjeIfT3K2Ry6bAaFkZFWx\nl2g5nsNRlvSYHgvpEDGT4cAwDFpP53AakAukUihnpEJAkvCcHgezRoeuCxf98jSDhn0nELJ2CWQ+\nQ8swaJvaoC5iK44lHq5QRY1vxfHVBv+45LnsUHer0VDHuh0SkgfPzdf0alB0nn04JKUnQiobuhsZ\nwzAoPcUW9qi8XOEbGTAOMx4c21U+AITOtR/AtUfIvCTOW4LC2xVBs+LsnDE0mrpm9Ni4V0QuSnjN\nGluRpKGmFmobUTyQJJQzUy1qlBfxmTsdLtGswWbMZtTvPgrjIGmfuuZ21P14FLXfHuS84XhlJF/x\n2jjOhl/p81x2FOVzc93jkwc3bjnHc0HZBGQdZe101LWhq7HDOo7OGHvji6Ew9OnQdIH1Q7uH+cEl\ncHjNsgdDIBAg/sZ5llx9nR6+aXGjCmTSJjOaj5zlbPNbnDamSlRDbR10RdwYjGJaMoT96nAEAgH8\nlqbDrNVD22BpC0jpDKjbdQShNy+DUC6FtqkN7WcKoK1vQX9kfp5QhjnvIX21wBt9nsuOon5B3Pik\nwYOLtlo7UrkUibPsu2psV/mAc1079VlFHD90iIM0zeFAkARC5yaNqain/Uw+TD1sYNk1LhyKoNEl\nFTAMA11xCdvQ+yKymGiIh0hUIEgSgdfNR+23B2G4WHhn6ulD3Y9HQErE1odBfxQhfvBfNj66Qlc7\nvNHnuewotAniBgb7w9VtYKGVulON0ly2wnXa3BSI7BTqMAzD8ee7B3jCM3jw1ESGYaDr7EW30QCI\nR968njZTqLN5wEjdlPBJCBvxdcYbfVsnOi+wb1GkTAKfuZb0VqpPA2NLC8AwkAQFclr2DQZjNkOT\nkwtTWxtnuzgoEJII+5k1pFiE4NULUf3NL1bhNEP74D0MFKEB8EpLgMx37DUUPBZ4o89zWUFRFIoL\nWKMfnzTQtUOZKXz8v//laMinLbbv2mmpaERvu9o6jpmdwFk1mo0mdFY0or20Du0lddbiJ7+UCCSt\nWwxSNPyvSnN+FQw2KpAhcxKsEskmjQ4tR88BAgF856dCpHR+03KGYaCtb7Fk69j4x31mp8DU3AxN\nYyNH8lhfXgFxUCCkEeEg5QPnR+l00Jw7D6qX64v3SIkHHRA8rNW4UCFD8OpFqP32ACi9ccB+ZXgg\nvNISBujf84wd3ujzXFbUVddDq2GLsuL7BXEZhsGX/9qJ4mz2weDp54lYBwJe/bN2ojPi0dfahfaS\nOrSX1qGzsonjjrlEc24ldF29SP3NSkhUwzPQtTYBXEJEIvBiwJVhGDTsOw59iyWuYOrVIOyW5U7L\nEafNFHrKatB1oRSGTjVnn9RVDqqqFLrBDDTDwFhXD2N9A8QB/hbjr7RIFJi7utF3PhuM0cZQEwQU\nyUnwmhYzIreTxN0FQasWoPaHI9bCK1VkMDxnJgyrzSHP6OCN/ijZuPEOKBSWL0JAQCC2bt0GiqKw\nbduf8atfbUB8fCrn+L6+Pvztb09Bq9XAZDJhy5ZHkZSUMhlTv6yxde0AQEK/IO6Brw/h+N4T1rFY\nIsY9WzeCtBPUpGmaY/S9Q31Rd+QCGrPLhjzHFnVdG069/R1m/O5aqPyGXnnqezQo3nUC6jrWLx2Q\nGg3xRT2fvupGq8EHAENbFzovlIy4OtURZq0eXfnl6C4o56RlXkJACKB0ETpekTMMjA2NMDY0QuTn\nC6GbG3SlZYCNtr5ALIZyRiqE7qMz0jI/L0RsuA6a+mbI/LwgcbcvwsgzdnijPwouNYh56633rdsa\nGurx3HPb0No6MOsAAL788r9IS5uF9evvQG1tNZ555n+wfft/Bz32asY2P18sESMiOsw6zjl+Ad9t\n/8E6FggE+N2Tv0FI9OCFW5doLK6F1qYq1sPTxa7BF4tJSCUk+jQm0BddSPruPpx+53tM+9VyeMVw\n78fQNOqyilC67zQoA1d6OORimiZD02g7xdWUB4D20wVQhQeNS19WSm9A64kL6Cmt4TQ9sUUiF0Hp\nLgUpZN8uBGIxxP5+EAf4g9bpoa+oBNXLXbGbmltgaub+bRNKJZRpM0DKRl57YItIJYdbfMSYrsEz\nfKa00X/1+Xewb9dBxweOgEXL5+P3D99l95jy8jLo9Xo8+ugDoCgK9933ACQSCZ588i/473//M+g5\n69ffAfHFQKPZTEE8igDh1YBtJW5MfBSEF1MJa0pq8NHfP+E0FL/pnjWY5qAYC+DKLgCAoaEVIoJ9\nMxArpJCrpBCaDJBKhSAv+t+VSjFa27Qwmy0G1Gww4fxH+xB/4zwEX8z86WnsQOG3R6Gu4wY0IbD0\nqr30ZtBTWgNj10BJX4ai0HT4DELWLBlTZgpD06jbdWRAm0AAEIiEkLlIIJMREIoufm6ShNjXB+IA\nfwg9PVkXkxsg8vOFua0duooKUN3qAdcDAJG3NxTTR6+YyTN58P9jo0AqlWLDhjtxww1rUVdXi8cf\nfwifffa11UANxiUxto6Odjz77FN46KE/TNR0pwyaPi2qK1khukuunc7WTrz71w84cgvzV83D0psW\nO7wmZaZQcZZ9kMhlYo7Bj70uHXRzM4wdakAstm53iQmFtq4ZfoQAbe1aGAyWegCGZlD4XSY0bd0Q\nkARqMvM4AWUAUPp5IPGmBXALtaQtDujpSpKQeLhYDbSusQ3qwsoxiX51F1QMMPhCpRweKTGQucmg\nL2IffOLAAMgT4oc02AKBACIfbwi9vWDu7IS+vBLmTrbSVhIWCllcLJ8+OUWZ0kb/D/+zGb+579cT\nft/g4BAEBQVBIBAgJCQUrq6u6Ohoh6+v/VZ1FRXl2LZtKx544GGkpo5e//xKpaSwlLOSj0+KhU6j\nxzvb3kePzSo5fkYc1m++ZVhGpy6/CgYNK7ussMnC8YkLhqmymuv3vphV45YUBbKzC4Vf/gxfHwU6\nOnTQaNmHTv9qW8AStI1aPhOh81M4Dc27Cyq4PV1TouEaF47qL/db3TCtJy9AEeo/qmwes06PttO2\n8shC+C9NhyoiEADQc8ymQxRBQBYTM6wVukAggMjTEyJPT5i7umBq74DQzRUi7yu/j+yVzJQ2+pPF\n7t0/oKKiHI8//ie0t7dBo9HA09N+tWVVVSWeeupJ/PWvLyI6emxKhlcq/StxYxOisf2lj9BYzUoy\n+If64e6tv7MbuLWlv2vnUrtCsVwCibYXFNiHDCkVI2DlPCgCLQ1OPONC4ZYche68cnh6yiAUEVCr\nBwZGAcArJhjxa+dB7sENRFJGEzrO9e/pGg9SKoZnWiLaLxpr2mhCy7Hz8EoMhbG2DkIvT8hihqf+\n2JaVB9rmLcgrLQEuUZa4g6G+gSuAFhLMkUYYLkJ3dwjdR6/Nw3P5wBv9UbB69Ro8//wz2Lz5bggE\nAvz5z08P6dq5pLL53ntvwWg04p///F8AgFKpxEsv/WMip33ZY1uJ6+3rhcwfj6PwLGu0Ve4qbP7r\n7yFTDC9waDKYUHWefZDIJSIIL67APVRCEDYGX+LhisBV8wd0T/KZMx26xjYYOtRwc5VCJCTQ0aW3\nunTEKhnib5gL3+SIQd88unJLOW8SnqlxIC8+eDxT49BbUQtDh8Vv3lfVAFLTBalCDKq3F4zBAHmK\nfa0ZXWsn1IWs5o3IVQn3i+mrDE1DX17BHkySkDoonOK58nFo9NVqNf7+97+jtrYWb7zxBl5++WX8\n6U9/gqur/XZ0VzIikQjPPPP8oPv+53+eGVRlkzfw9mEYBkX5rO89OjYSh787ah2LJCJs2nYvPH2H\nV6yjqW/BhZ2HOHEA1UVj6+4mhUTC/ukrI4IQsCwdhGhgRS8hJBGwYi6qd/4ExkxBoRBDKCJBu3tA\nFeCF0PnJEA0h8mbWGdCZzT7ISJkU7jZ69QKSgN+SdNR8/Yu1aKq3XQexVAiCJGBsbIJALB7Sf84w\nDFqOneds850/AwRpeQsyNjSA1rE1D5LQEBASPoHgasfhu+NTTz2F5ORkdHd3Qy6Xw8fHB0888cRE\nzI3nKqKpoQXdXWymiFIqB22Tdnj7A+sRFhvq8DoMw6D9XCHqdh1BXTWbLy8AoJCKIJUKoVJddPF4\nuMBnfioCV84d1OBfQuLhAt/5bMWvRExCJTAhfMHQBh8AOs8XgTbZdntKANGvslfm48FpXELTDHo7\nWUNtqK6Boap60OurS6o5ef/KsAAoQy369AxFQ1/OVb2UhocNOVeeqweHRr++vh633XYbCIKAWCzG\no48+iubmZken8fCMCNv8fADobWfz6hUquUOZBQCg9EY07M1Ee1YezCYK7d2sL1suEUEsFiFyYRKC\nVi1A9F1rEXH7dfBIiRlWQNg1PhyqKDY/39ynRdOhMxyjboupV4uufLYWQOSiGDIX3Ss9CUKbhuz6\nPhMMNkFjXUkpDPUN3M9qMKLtJNuUREAS8JnHFgQa6+tB69kAtjQsFIRNdhLP1YtDo0+SJHp7e61f\njOrqaqd2GuK5OrHNzxcKSXTUsnnvXh7unOIqWy5lv+jbu1C98yf0VVv6xza29XIaTalkYkz/7UoE\nLUJSi68AACAASURBVE2HKjwQ5AiDmQKBAH6L0iByYVsx9lU1oPw/P6D52DmrYuQl2s9yuz15pSdB\nQA4efCZEQrj6cwPAvd1GTn9ZbX4BjK3sm0v7mYJ+TVDiIHa1xCMYioKuwmaVLxRCEub4LYnn6sCh\nT3/Lli2488470dTUhPvvvx85OTl44YUXJmJuPFcRtj1xvb29QZjZhQWj1uHzrR8g45aFSFkxEwRB\nQNfdh9I9p9DT2IGkVbPQeuw8GIqCwWhGWU0nWjrZh4RAACQunwmv6KAxzZGUiBGwYg5qvj0AXAzk\n0kYTuvPK0Z1XDpmfJ9wSIiHxdIO62Kbbk6crXKKHNrpmtRpC2gipUgx9n0XThjKY0NVsgkQugspD\nClJEQpN9AUR6GjSMGV157FuEUCmH5wxWysFQVw/GwD4Q+FU+jy0Ojf7ChQuRlJSE3NxcUBSFv/3t\nb3Bx4fUxeMYPvd6A8hKbDBSwK2KSICAXiWEymJD52QGUHM9HdGIoNLWtiFiSCl1rJ6r2nIBUKkRt\noxo1zWqY+gmneXi6IHbV7HGZq8zXEwHLMtB8+OwA146uuQO65o4B53hnpNh1IRlq6wAAKg8pjHoT\naDP7imLQWlw9clcJFG5S9J49h1YdyVXLnDvdGitgKAr6SvZ3KeBX+Tz9cGj0b7vtNnz55ZdYvHgx\nAIt41Zo1a7Br1y5nz43nKqE4vwwUxXbAMvWZgIt67i4SKcdgttW0oL22FUlLpkNXXgUpbUJzuwbN\nXRr0DSbRq5Lj+j/ezimWGisu0aFQhAagt6wWXYUVMAwifXAJmZ8XFKFDN/+mTSYYGy11CARJwDsu\nEDoDgZ6yWs5xWrUB+j4jJHIRdL3s55QH+kAVyb7BGGrrwBjY/ZLwMLtBap6rjyGN/m9+8xucPn0a\nABAXF2f94pEkiaVLl07M7C5T3nzzNZSUFKGzswN6vR4BAYFwc3PHc8+9jPr6Omzc+Ed8+OHnkz3N\nKUNudgFnLBOxQU13pRIpS1KRfyTHKn7GMAzyDmajRERCKRGhS6Pn+O8BgCQJzLhmFmatWzSuBt96\nfbEIbomRcEuMhL61E92FFegpqx2w+veeY3+Vb2xo5KhWyiPD4R4YALekaLQez4a+lZU/oCmGY/AB\nQC6hobmQC6GrK0gXF+grWbeSQCSClF/l8/RjSKP/8ccfAwCee+45/OUvfxnVxTs6OnDzzTdj+/bt\n0Ov12LRpE8LCwgAAGzZswKpVq0Z1XcBSP/DBB2+htLTc8cEjIDg4FL/97V1wcRm6DmHLlkcBAHv2\n7EJNTTU2b94CANi3bze++uoLdHUNvfLjGUhuNluxKiRIiAjLn6WIIBEX7gvUN2PuggSUFNZy9NqN\nJgqdJmrA9cKSwrDs9zdAZhN07Q/V2wdjUxNIFxeIfH3GpCMj9fGAn48HvOdOR29ZLbqLKmHq08Jj\nWizk/kNLFjAMY3XtABYjLfazSHnI/b0Qesty9JTWoO1ULsw2PQYuIXeRgGTMMDU1w9Q0MKNOGh7G\nC6LxDMDhX8QTTzyBn3/+GRqNJTBGURTq6+vx8MMP2z3PZDLh6aefhvTia3phYSE2btyIu+6yr2A5\nXD7+eDv27PnB8YEjJC/PkgZ3ybCPBJXKBW+99T42bLhpvKd1RWNr9KVCidUAe7upIKUYRMS5QawU\nI2bLjTi39zzys4pB9RM5AywVuys234iAWPtSy1RvL3pOnLKusAmlArKoKIj8fMdk/G1X/8PB3NkF\nWsMGnMVBgRDYvJUIBAK4xoZBFRGEjuxidGazfXcJQgCF+9AtDQViMSShIaP8JDxXMg6N/h/+8Aeo\n1WrU1tYiLS0NWVlZmDHDcc70yy+/jNtvvx3vv2/RnM/Pz0dVVRUOHDiA0NBQbN26FUql0sFVphbz\n5i2Y7ClMOdpa29HcyKYiSoWsIUsM8oaXjwIKNykMOhNyPjsIrdqAUG9XtPfq0KO1ZKiQJIHI+GCE\nJUc5NPgMRaEvJ5fjUqH7NNDkXACpUkIaFTXmlf9wsV3lAxZdnMEgREJ4pyfBLT4cHdnFEOh0UIT5\ngyQYmLu7QanVYPq5laRRkfwqn2dQHP5VlJSU4KeffsLzzz+PW265BY888ggeeeQRu+d888038PDw\nwIIFC6xGPyUlBevWrUNSUhLeeecdvP3223jyySftXsfdXQ7hEMJajz32EORyMSptMhXGg4iICGza\ntAluw2hqoVJJIZeL4e098NjBtl0OXG7zunA2mzOWiSz58yqlDC5iKbwDlGhp6EFdZbfVp08SBHxd\nFfDzcUX4klTEpkWjYtcxNORXIOO2BRDaaZDempUNuq9v0H1Ubx802Tn/z957h8dxX/f672yvwKIt\neu8AQYIg2KtYRKrLlmXJVU5+jhM7dq5vfrmxdeOiREkUx3YSlxtdd1uULMlWryTF3sACggCI3kH0\nXrbXuX8sCWCFtotCUTLe59mHxO6UszszZ75zvud8DspwAxFr8hBF3bL9Xm6bnZG+yaYkmrhoYm5I\nMc9KlJ64tOlKrqIo4jJZsA8O4xwbRxEagj41sF61S83tdn7dZMWuSeZ1+hEREQiCQGpqKvX19Tz4\n4IO4XK4513n55ZcRBIGSkhJqa2v5xje+wdNPP03UDUnWffv28eSTT85r3MiIdY5PpXzzm98Mqidn\noLhcBLRdk8mO1eqccdnlsGuxTNUEul24cM7f6d8c6adFh6PXK2htGME8Pl3ZMjxCTdbOXPRr8vAq\nlajjotDZRa4dLSdh/fRm6gCu/gHM9ZMCZIJcjjwmBmdnp18KpGN4lO4T51FGhKHMX4VUu/TNy21N\nzX77FGLiAj42sx5HfRjow3AAjsGZb2zLye14fsGfpl1z3UzmTWvIzMzkySefZOPGjfz2t7/l5z//\nuZ/m+Uw899xzPPvssxw8eJDc3Fy+973v8ZWvfIXKSl+7uJKSEvLz84P8Git8FKkun4znK6UKpDeq\nvaM1WsZNzmkOX6GQEh+nJzUnEu/QEONnzuHs6SWiOB+l6PI1NZnh/PQ6HFiu+WvgawpWoV2VR+jO\n7SgSE3xVXFNwDI1gvnJl1taDC0W80Xj8JoJKhdy4olG/wq1h3pH+d7/7XcrLy8nIyOBrX/saJSUl\n/PCHPwx6R0888QRPPvkkcrmcyMjIgEb6tzt3333fjO+fO3futhxZ3G643W7qayYrS1U3QjvhoTpC\nNSoc9snMHEGA0FAVISEKwmP0Ez1eRZcLS3kFyuQkInJSGC9tZLipi4gp1beiKGKprEJ0TqY7KhIT\nUUT7dPMlajXaVfmo0tKwNzf70ihv3Di8FivO7h6UCfFL9r1d/QN+ujjKxISVLlQr3DLmdfoPP/ww\nr776KgB79uxhz549Qe3g4MGDE/9/4YUXgjRvhY8yZ98+g3tKUZb6RmgnVq/zc/hSqUC0UYtcLsW4\nbS0hSUYslVV+mS+O9usotDo0cmg9Xenn9B3t13EPDk78LdFq0eRmT7NHqlGjLViFKi2V8XMlcMM2\ne3MLirjYgBqaBIKjY8oEriCgTFicPMQKKwTDvGdxZGQkpaWlOJ3Tqx1XWGExnH/vvN/fN4uyYvX+\n8ciICA1yuRR1uA5DXjoyg4GQrZunyQuIFjOGcCXW3kHM/T4BNPe4CVvdpJgbguBr6D2L+BmAVKv1\ny6TxWq04Z8iDXwgeqxX3wOQNSB5tXFAnqxVWWCjzOv2qqio++9nPsmbNGnJzc8nJySE3N3e+1VZY\nYV7a2iZHvBJBgkIqJ0yrRjNFHEyvV6BWyVBGGohck4G1shLR60WQStHk5qAtKvRLTdTq5OhUEpre\nPI3odmOpqPSbMFVnZyHV63Fc72Ds9Flc/ZNqnlNRpab43RjsTc1LEtsPNE1zhRWWi3nDOyUlJbN+\nduLECe64444lNWiFPw1sZhuj45PNzpVSBYIgEDelI5tcJsEQqkKmURF/YCtyvRZbbR3Wa9VoVq9C\nEAQU0dFIt+ixlJfjGTchSASi4vQ01vQzdPQkUnEyTCSLjEAaFobpwkWkWi3aNQVYr1XjtdunOV+J\nUokhO42RG3MON0f7yvi4BX9nr82Go31SU0ei1SILD6wT2AorLBWLClL++Mc/Xio7VvgTY6C1F4tz\ncjJTLvWNP+IMkwquEZEaVBGhJD+0F0WIDkEQUOfmgCBgq6mdyNKRajXoN230ZeAA2lAlOp2CnpbJ\nMAoyGRKlEltVFersLLSrC5CFhqLfuB5nby/WuvppWT9h+dkwJY5vb26eN3NtLmwNjX5FYarUlJUJ\n3BVuOYty+ou5AFb406az8Tp295RsGqmcCK0G9Q1FSEOoktC4CJI/tge5flJDRxAENAX5eJ1O7A2T\nmT+CVIp2Vb6vkbhMRmxiCAM95omCLkEqQarXo9+yGfmU0bUgl6MrXofodGKpqEScMrEsU6v8Y/s3\nMnkWgnt01G9dqV6PYgkzglb4cCF6vTimtAe9lSyqTvtPdZQym8pmbGwclZXlCILI3Xc/wP33r2jw\nzEZTlb9QnlwqJ97gC+0oFFKi4vQkPrgb6QzVtYIgoF2zGvOVq1iqapDqtCAIvvNREFClpYKkHVXb\nGN1toyStikO/cQMS1cxaNYJEgqZgFfamZsyXS9EWrZ1oOqJKS/XF4W926LqZyRPEuS+KItbaer/3\n1LkzNztf4aOP6HJhLq/AZDajKVyDLCzslu5/RZxjAcyksllWVsof//gCP/vZbwgNVXLgwF3s2rVn\npeHMLLQ3+evFK6RyYg0hCAIkJocStTptRod/E0EiQVdUiLOzyzfB6vXiFUXfpK0ookyIJ80JjVc7\nUNpUhCjnzpARBAF1ZgYOtRrTxcvoitZClB6JUokyKRFHWzsAXosFV08PirjAY/uu3l48o5PtFOXR\nRuQREQGvv8JHB4/ViqXsKorERIxbiug4eg79hvVI1LOL5y01K05/icjPLyAjI2vib6/Xi2xF8GpG\nbONWBoeG/d4z6kNQymTExOuJiNOjjJlHhwZfSGcuJUl1dhaWscOM9w5T/dIp8j6+Y15tfWVCPBKV\nCnPpFey6TYAcVar/aN/W1II8NrDRvujxYKtvmGK0gDo7a/YVVvjI4h4ZxVJ5DU1eDvKoKJQGPeqc\nLMxXy9FvXD9nGvFSsiivdDvE9P/pn75Fc/PSaeqnp2fwne/8c9DrKZVKlEolbrebb37zu9x//8fQ\naJZes+WjQH9bL2anv66STilHp1eQkBYGgoA8cvGyBIIgEFmUg7qrnzGzm/KDR1jz6b1IFXOf9vLI\nCLRrCui/VI56/XokKiXKxISJzBvfaL8XRdzsHbFuYm9rx2ubUn2bnIRUO7vO/wq3D26rnY63T5P8\n4O6JdpQLxdndg62pGV1RIdIpdSiK6Gg84yas1TVoClbdkpDfvN/ktddem/aeSqUiLS2NF198cVmM\nCoaFOOjlYnx8nG9/+xts3bqZT37y8x+0Obct/a09mByTTUGkgpSusUHS87YiCAKyiHCERV5kNwnJ\nSGKwtJqMB+6go7SB0l++zdrH9qPQzv04LTMYcAEesxmpTueL7Xd0ThntNyOPjZnzIvU6HNibp/Sr\nlctRZQSmtf9B4Ozrx2uxoExdySoC6C+pwGNzYLne69eSMhhEUcTe1IxrcAj9xvVIZggzqjLSsZRd\nxdF+/ZZ0Opv3yjp27Bg1NTXs3bsXgJMnT2I0GrFardx333184QtfWG4bPxQ4HHa+/vUv8+ijn+Uz\nn/nkivbOHAy0+adrqmRKhmzjmB12lCodiuj5QzuBIkglhBVkMnKtkbRdhSj1Gi7//E2KvnAAddh0\nJUK3w8lYxwCj7X1o5QIhXd1osrOQqFTTR/u9vShiZx/t2xoaJ6QcAFSZGbdtv1rR7cZWV49Eo8Fr\ns6HOy/2TdvzWrn6coyZidhUzVte2IKcvejxYq6oRRRH9huJZwzeCIKBdvRrTxYtI9bpln++ZN2Vz\nYGCAV199lccff5zHH3+cl19+GVEUefHFF3nllVeW1bgPE6+99jLd3V288carfO5zn+OrX/0S3d1d\nH7RZtyW9rd1+6Zp6lZr9xQW8ca4MYEJxcrh/mFd/9Tqm0cXdQA25aZiaO/A4nMSvyyLr7o2U/uod\nTD1DWAbH6C5roObVM5z/0cuU/ORVuq7UI9co6azpoudK/UQlri8raPKSsTU1+6V4TsU9Po6zc/L4\nS7RalIm3r8aOvbUNRWwMunVrfQJ1V8tn/W4fdUSPh74zZcTsWIc2Phpb3yBet3v+FaduQxQxl5X7\nxPzWzC37ASDIZWjXFmKtqsFjnd4acymZd6Q/MjKCdkoMUqlUMjY2hkwm+5MeCYC/yuYjj3yGRx75\nDHD76nffDljHLPT1Dvq9F67RcdfW1fyvp1/g4Xt3I5jtHP7Vm9RdbSAqLpJLx0vZ8/GFV35L5DJC\nslIYrW4moiiXqOwk5BoV5c8dRalTE5ocTWRWIul716HUT87D5O9azdvf/Q36sjqMxXnTR/tmC6PH\nTiA3RqGIjUEeGYkglSKKIrb3pWhqcrOXTLBtqfHa7Ti7ewjZutmXvpqfdyN99QradWtv26eT5WK4\nsgFNghFVlC+VUhsf7QvxpAV+03Z2dCLIZaizMgNeR6rVosnNwXK1HP2mDcs2sTuv07/zzjt57LHH\nuOuuu/B6vRw5coQ9e/bw2muvTTRFWWGFQOlv62XU5t/gIz7cgFqlYMeaHP7r4DuE/LGE3R+/g4e+\n9DFGBkb59b/9dlFOHyCsIJP2l98jbHUWEpkUQ6KR7X/3yJzrqEI0rHl4B+UvnkKdEIM+Jnwyb/9m\nEoPHM9mYXCpFEW1EotHgHp7MTpJFRiC/ja8VW0MjqvS0CQ2jifRVZQfmi5fRFRfNWuOw3IhuN7bG\nJgSpNCgHulBcJgujNS2kPHznxHv6jETG69sCdvoemw17ayv6zZuC3r/cGIXbZMJyrcr3hLAMA+uA\neuSeOHGCc+fOIZVK+eIXv8jOnTspLy9fkK7+Cn/a9Lf2MGq3+L2XkRTFobO1tLebaBvq4Zd/+DZh\nEQYAIqLDERBoqmwiLDwUl8OFy+6cfDl9j92T14Yw+X8BUgszUYdokKmV6JLjGKtvJSw/I2B7QzKS\nSV8VS/mzR1j/pftQhfhGY9baOj8hNwA8nukVu4KAJmfmTl63A+6xMTwmM5qCVdM+UyYlIigVmC6V\n+rJObnFPa9fgENaaWhRxsbiHhnB0dS9K+ygQ+s5eJWpDgV+NiDbeSO+pUrxuD5JZ2rfeRBRFrNeq\nUWdnTRT4BYsqLRVrxTXcwyPII5ZemymgFImEhAQOHDgwkaJ5+fJl1q9fv+TGrPDRp7/FP3MHoKyh\nm61r0/jbL93N2y3dvPr8G2zIK6Ctopmhjn5kDg+v/vQlcnLSkSvlyFUKFCoFcqUCmUIGAiBOTyEe\n6x+hv7WXXY/tByC8MJuOt05jyE0LONQiCAIReakQauDq7w6z/i/uRZmchDwuFldfP87eXtyDQ9Nv\nADdQJiYg1d9aZxkovjBUHeqc2auDFdHRSOQKzFeu+vSKwgzLbpfX5cJWV4/HbEG3thCpXoc3MQHT\nxUtI9Tpky1TwaG7rxutyo8/wF98TpFK08UYsHb3oU+eWznB2diHI5ShipvcyDpSbUiPLlRA/r9P/\nx3/8R06cOEFi4uQPIQgCzzzzzDKZtMJHmd6mLqyuKXnrMjl7N2cTH2GgpmkYb8sYb1w4ScaX4yi+\nbzPGtFgs4xb+4+9+zL3/8xNBPe66nS6ee/yXuBwu381Cr0UVFYappYuQjMAljRXxcYQMDBJXlEX5\nc+9R9IW7kMjlKBPiUSbE43U6J28AQ8MTNwBBoUCVEfhTxa3G1duHoFDMO5qUhYehK1qL+UoZ+k0b\nl1X/39nXj62uHmVyEppV+RPHW6JUol1dgKW8Ev2mDQseRb8f18AgHpMJicFA//lyEu7ePuM5pk9P\nZLzx+pxO32uzYW9pQb8p+LDO++k9U4Y+LQFd0vy1IMEyr9M/d+4chw4dQvUBxfRW+OhgGTUzNmbG\n6XZNvKeQymmoHcRkdJK2rZCHH9mH66CKAdHCjgzfBaY36ImMjaC1ro203NSA9ydTyEldm0HT5Tpy\ntxUAEL42h97jl9CnB96iUKrVIkglxOclYx8zU/3yaVY9vHPSISkUKOLjcEhUjJgkDNW347I6KPzM\nXiTKpXFOS43o8WBrbEK3bm1Ay0v1OhTxcTj7elElL30uudfhwFpTh+hyolu/DukMhY0ygwFVSjKW\nymvo1hUtOt4tiiK2+nrk0dEMnLqEQibiam9FNEcgj4zwm8fQJkTTe/oKXo8HyQwTrKIoYqmqRp2V\ntehj7rbZsXb1E7N93aK2MxvzPuMmJibeFpW3K3z46Wvuwup04PRMVddUsGtbBjt357DqwCZ0YXo+\n8ZkHef2Pb+F0Tt4c1t9RzOUTV4LeZ96ONdScqpj4WxVhQKpRYe3sC2o7ivh4nF1dZB3YiNftpum9\nK5h6h2k/V8XVZ45w+t9foPHIZQSZlOz7t5N25wbKXzyF02qff+NLhCiKmMsrsNbU4nW55lzW0daO\n3BgVVHWwIiYaV09wv1sguEdGMV24hDwyAt364hkd/oQNiQlIlErsTc0T7y20uY1ndAxBqUQSacRh\n9xL7wD4U8XF4zGbMpWWMnTmHta4er93ua9oTZ8TaMfP3d3Z1I0hlKGIXHta5yWh1sy8EOY9kyEKZ\nd6QfGhrKPffcw9q1a1FMeaR66qmnlsWgFT66dFU2Y3LY/GKVISoNxigtcmPUxMgtPCKM4k1FvPf2\nMe752AEAVm8u4K1n3sbzpY8hnWcybSqRSUa8bg/D3YOEx0UCELE2l8HSarSJgV+gitgYxs+eR52d\nxaqHd1Hx+2OMXe8jPD2O1F1rCImP8tP1CYmPxG13cvW3h1n3xbuRzSEet1TcFIWTqNWYzl9AlZGG\nIi5u2ojY63Dg6OhEv3VzUNuX6HR4XU68DseMlaULwdnXj62+AV3R2oDmPgRBQJOX64vvh4QgNRho\n++MRYnatR5sQXFGfo6MTRXw8faevYNxSiFSpQKqMRB7pO0+8Dgeu3j5MFy+jiI1BnxzHeHMHuhT/\nyWSvzY69uRn9po1B7X8mRI+HsbpWUj6xb9Hbmo15nf727dvZvn37shmwwp8OfU1djNr9NXdS4yIn\nOmBN5ZHHHuKbX/0OB+7bh1QmRaVWkpqbSm1ZHas25Ae137yda6g5Vcm2T+0GQB0biehyY+8fRmUM\nLDtCkMmQhYfhGhhAER1N0Y3J4blIWJ+D2+ak/OARih47MG/mx2Jwj43h6OgkZPMmBLlvxGmtq8fZ\n0YUmP9dP78XW2IQyNSXo/Pubx8nZ24dqDqG7QHFc78BxvQP9+uKgVCYFqRTt2kLMly5jtkvRxEUx\ncLESTfzegEM+osuFe3gYt1KHRKlAlzw9di5RKlEmJ6GIj8Pe1o7neguW68N4Xe4JLR5RFLFUV6PO\nzFySG+F4UwfahBikyzhvMuvzw8CAr3foxo0bZ3ytsEIwiF4v/T3DfpO4AFsKUxFkUmTvm0yMjjGS\nV5DDyaNnJt5bf8e6BYV4Mjfm0nKlHo/bV2EqCALhRbkMltXidQdedaqIj8fZ2R3UvlN2rCY0IYrK\nF48vSY/dmRBdbiyV19CuKZjQLJKoVOgK16DKSMdcXom1tg7R5cZjMuEZHV1wdbA8JgZX7+JCPKIo\nYmtswtnTg27jwmSFpWo1osGIo3eA6O1FyLUazK2BV8A7u3uQRkYyWFpN9NbCOZcVZDLUGemEbN2E\nMkTDwJGTOHt6EUXRF9aRSJAvQVhHFEVGKhsIW7289QizjvS/9a1v8bOf/YzPfvazCIKAKIp+/x47\ndmxZDVvho8VQw3XGrDY/+QWA3NRYtPExM1YfPvrYJ/inx/+NO+7cgUQiIbcohz/890vYbQ5U6sBH\nQgq1koTcZFrLGsnY4MuZ16XEYWrqoPXFQ4heL3KNGnmIFrl+8mXQ+Y+EZeFhWKurgw5vZNy5ntrX\nzlL96lnyPz5zdshCEUURa00NyoQEZFP6C99EHhlByNbNOFrbGD9f4ityys5acHWwVK/D63AsOMQj\ner1Yq2sQ3W50xesWXHXqtjkYqmrGWJSFtbqGiA2r6DlSgi4lbt7vJooijs5ObG45oTmpfp3Z5kKi\nVBJWtApTYzvO3l7srW2ILif6TRuX5JjaegeRqpQow6cfx6VkVqf/s5/9DIBvf/vbK83PV1g0HVfq\nsbmc2Kema8rlKBVydInxOGZYJzElgfiEOMoulVO8qQipTEr+hnwqS66xYXdxUPvP27mGi6+enXD6\ngiAQt8+XWieKIm6LDZfJ4nuNW7H1DTFcWkXCg7snnIggCChiY3F296BKTQl434IgkPvAVipfOE7j\noUskFWciSGUowxefb+7s6sbrcqGZQ51RkEhQpaehiIvF2T+wqOpgQRB8E7p9/dOayc+H6HZjKa9E\nolH7pWMuhL7TV4gozEGXl4blylUkdisqYzhjDe0YcubO8PKMj+N2i1i6B0n5ZFFQ+9UmxtB3tozY\nPZvwmMYRveKSzW+MVDQQtmb5ey3Me7v/wQ9+sOCNDw0NsXPnTpqbm2lvb+dTn/oUn/70p/nud7+L\nd5kedT/MOEbGGbpa90GbseSIokhvYydWlwuXZzKrxGgIAUFAmzD7o/FdD97JoTeOTvztC/GUBm1D\ndHoc1jEz4wOj0z4TBAG5ToMmNorQrBQii/OI3b0BfWwko9XNfsvezOIJNqNNkEgo+OQdjLb3ce2Z\nQ/Sfvxr0d3g/HrMFe3ML2gB12CVq9ZLE4uUx0Th7e4Nax+t0Yrpciiw8DHVuzqIc/njjdbxOF6F5\naT7JiPxcbI1NRBTlMFxWi3ceoTj79Q5M/WaMm9fMmH45FxKZFE1MJJauPmQGA/LwpWl16By34Bgd\nDyq5YKEElLL5+OOP88ILL/Daa69NvObD5XLxne98ZyK//6mnnuLrX/86v//97xFFcSU89D5EPX/f\nSwAAIABJREFUUaTv9BWGr9bhsc807v3w4hgaY2hwHLvLiVucvCCTosORhYcjnaPQpnjTWuprGjGN\n+/R6UnNSGOwZClp5UxAE8naspvZMZcDrJO8pZriiHveUJihSjRpBocAzPh7U/gHcZithWgG3XMlI\n1zCO4YU3xhY9HiwVlWjy85ZspBkoUr0er92B1+Gcf+EbWCoqUSYkoEpLXZTDd1tsDFy8Rswd6ye2\nI1WrUcTH4e7rRZsUO+1GPRXR7cbc2oVErZ6WhRMo+vRETM0dC1p3NkavNRK2KvOWiFjO6/TDbjTt\nraio4OLFixOv+fje977Ho48+itFoBKC6upoNGzYAsGPHDs6fP78Yuz9ymJo7kSjkGFZlMFbf9kGb\ns6SYWjrpH7Xg9PjL0yYYw5FHG+dcVyqVsnPvVo4fPgX4nHfRjkKunA5+pJy1ZRUNJTUBP2UqtGrC\nC7MZuOB/o/BN6AYnm+0yW+l85wxxuzey9rH9jAxZGLhSE9Q2pmKrb0AeFYk88tb32vVl8Rhx9Qc2\noesa8slUKBLmljCYD1EU6TlZSuT6fOQ6/1x+VWoKrr5+DDnJjFQ24HHOXKdg7+jCPGwjentwYZ2p\naJNisHT2IXqWJlrhcbowtXYSmp2yJNubj3lTNheSj//KK68QHh7O9u3b+fnPfw4wMQEMoNVqMZnm\nH6mFhWmQzZPmFhU1vRHG7UAwdnmcLtpLq1j12bsQpBKqnn2XrD3rluWu/0H8Xg2N1zE57Jid/kJr\nMeGhxNyosJ3Lrk899iD/++v/zBe/8igA+x/ayX//4695+P+7JzhDovQk5SYx1t5D1obARNAydxZS\n/svXUTlt6ON9NyhvWDptbxwhIlwTUHjAZbVz7eVzZOzfRESOL/Y+tGM1PZdryL9/GwpdcG01zR3d\nCFYLift3BjUh67TY6L5QhdKgRxcTgcYYhnSBHcrskjQGy64RVZTn9/77j6MoinRcvkTcxrWoIhc3\nh9F7tR6VWk761pnDWZqNaxitbSamMAtnUztJOyerjW/aVflaHcZVacRnLE7eYCQ5BrnFRNgCO2pN\ntav7UjXRBelExy1NqGg+Zj3iubm51NbWsnbtWsLDJ9PpAsneefnllxEEgZKSEmpra/nGN77B8BSp\nWYvFQkgAokkjI9Y5P79ddeuDtWvg4jU0aYmY3IDbi0Srob2iGW380nWQWohdS4Fz3EJvaw82lwvL\n+/rixiXFMWr1EKVlTru0egOiKHCp5BqpGSkotDocdic1Fa1E3Si4CpT0TXmUvHGBsHmEs8D3ew0O\nWQjftIa6N86S/NBkHrg0MorOCxXzyv16nC463jxJWH4G3ojwie8ZvSGXxpPl1Lx7ifhdgZfbe+12\nrKUVqNetY3DIMv8KN3CMjNN16Byh2SnY+kbprW7FMTSGIJWgijSgjAxDFWlAHRMZUD9YUZRiHzfT\n1zU0oYMz0/nl7OnFI1NgEuWYFnHuuUwWrp+8SvLH9zA4aJ55IaUel9uLLEJL16mrKNISkaqUE3bZ\nunqxDJmJvidv0deBIj6WjrIG3CELz7SJitLT3z9Ox4VqEu/duaTX5lyDqFmPbnx8PG63G5lMxsGD\nB6elbM7Fc889N/H/z33uczzxxBN8//vf5+LFi2zcuJHTp0+zaQlEiT4KOMdMmJo7/PS7DfkZjFYv\nvdP/IDC3djE0asfqck5L10zIDTxT4cD9+zj05lG+/D+/CEDxrnWUnrzCXZ+ev0hqKvE5yZx85giW\nUTNaQ2Dql5rYKBRhIYzVtmDI8/W4VWdlYrp4CVmYYdZsGK/HQ9ehc4RkJBH6vowSmUJOxp3raTtW\nSuy2NUhkgY24bfUNhBfk4lSrA1oewNLZR++pUmLvWI8mzj+c5rE7sQ+N4hgcYayulcHL1SQ+sGve\nJxhBEJAbjb4snlly/kWvF1tTE7qiwPR9ZkMURXqOX8K4eQ0yzdw5/ercbMxXyjDkpzNUVotxy2QO\nfv/ZMsJXZyy6yTn4Qjz958sRvd5FNccxt3ejjAhFrg/uaW8xzGrt+vXrKSgowGw2s2fPHvbu3cue\nPXsmXsHyjW98g5/85Cc88sgjuFwu9u8P7mL9qNJ3tpyojav9TkRtYjT2gRHct1C3ZbkwtXYyMGbB\n5XHjnTKJq1EqiMwIXDxt175tnDtZgvtG27p1O4soPVW2gCwagZytBdSdvRbUesbNqxkqq52YZBek\nUrSFa7DW1OKxTW9vJ3q9dL93AXV0BOFrsmfcZnxxDl5BQve5wCaX3SMjeCxWQtIDFzwbrW2h72wZ\niffsmObwAaQqBdp4I+FrsonbtxlNvJHeE5cD+l0VsTE4bxRqeVxuxnqG/D53dnYhCwsLSt9nJsbq\nWpFpVAH1qZVqtShiYlCrpZhau3CZfU+XptZOPHYHhrXBVXPPhkQuQ2UMx9rVv6jtjFQ0EL56+dM0\npzKr03/qqaeora1l165d1NbWTrzq6uqora0NeAcHDx4kPT2d1NRUnn32WV588UWeeuoppMvUCuzD\nhLmtG9HjQZfmH2oQJBJCc1IZq2v9gCxbGtw2B9buAQZNFmwuO8KU0y06MiyophwarYZVhflcPOtL\n1zREhBIaHkJHU2fQduVuL6DubFVQNwyZRk1YQSYDFydvFlKNBnVuDparFX6TeqLHQ+/JUmQaFZEb\npjcnuYkgEci+dzPNpyrnnVz2FWHVockLLN1RFEUGLlQyVt9G8oO7URgCm8uJ3LAK0eNlqGz+a1wa\nEoLXasVts1P5/DGO/uAl3A7fBKro8WBvbUOdkR7QfmfD6/EwVFZL1OY1Aa+jSkvF1d9HWH46g6XV\neN0e+s9eJSIvJeAnqkAIyUpmuKJhwYKUlr4hvG436pjgQpSLZd7nkqeffvpW2PEnh9fjob+kgujt\nM0vEGnJ9Tv/DrHBq6x3EanVicTixuuyIU6TW4uKjg56oPnDfXg696Z+zf+n45aDt0hp0GGLD6aq7\nHtR6YQWZ2HqHsA9Mzk8pjEbkEeHY6uoQPV5Ga1toffEwEqV81mM7FeOqNBRaFe3H55aXcHZ2+hqI\nGOZvYuJ1u+k+UoLLYiPxvp1B6bgIgkDs7g2YW7sYnyctURAEZMYoqv9wHJVBR/q2VbSf890UHW3t\nKGKiF91mcaymBV1y7LRsnTntkvl608rdFmy9gzS/cx6FSoYuZ2l7G+hS4pCqFAwHcIOcia4L1YSv\nnvkpcDm5PTs1/wkwUl6PLjkWZdjME9oyjRplRCiWjuCKYG4n7AMjDI3asLmcWJ02vOLkaDY+Nfgi\nodVFq7je2sHw0AgAhVsLqS2rp6IkuFAN3BRhq5h/wSkIEgnGbWvpO+MfVlKmp2Fq76Xl929h7xsi\n8b6dRG9dG/BNLfvezbSdrcLjcs/4udflwt7Sijp7/jCA22rn+usnUUaEErt7Q9DFR+ALXSTctY3B\ni9ew9Q3NuWxHfT9us4Wce7eQt7+YrtJ6HKMmHB2dKNMCD9/NhNflZriigYii3KDXlUdHg1ckLCuJ\nofo29DGhfqJzS4EgCMTsLGa8uQNLkFLdjqFRxoJstr5UrDj9DwCXycpoXSsRxXPHF29O6H5YcQyO\nMDhmweZ24vL6503Hp6cEvT2JRMKeu3Zx9N0TAKi1Kr72L1/mrWfepuxMeVDbSi5IY7C9n7bypqDW\n08Ybkem0jNe3IXq9jDe20/bSe3jkagwxeqLW5c6p5SKKIu7RUTzWyUym8OxkdAYtTYcvzbiOvbEJ\nZWLivEVYznEz118/QfjqTCKLFydzINOqibtzM91HL+AyzZxF13amEvOQibS8aESPG4VGSeLGPBrf\nOoMsNhaP3YljeAxb7yCWjl68s9zUZmOkqgl9egIyTeCT1jfxSTDnIJiGSdqUjTpl8ZXIMyGRy4i/\ncwu9p0on5g/mwzE0Suehc2R/bNeyaebPxYrTv4U4+/oxXbhEz5GzRBTn+zVfnglNvBHnqCngk+l2\nwzYwQv+oBbvLgVzq/13jExeWJ73/3j0ceev4xEjbEGngq//yFQ49f5jSk4ErcEqkEu77u09S8tIp\naoOd1N2yhsHSatr+cARzew8JB7YRt28zIesKsVRUILqnOzfR7cZxvQPTuRJsDU2YL1/BPTIpCZF+\nZzHdVxqwj/unYXpMZlxDwyjn0NYBX0pm51unMW4tJCRzaTpbqSLDMG4ppPPQ2WlNWbquNNBb2cKa\nT+/FK1fR9e4ZLv3XC7ha2uir76b7Uj3dRy/Qf76C4coGRqqa6D52MeBwpcfpYrS6iYi1C28qL9Xp\nUEQbsXZ2L0lzk9lQGPQYN6+h+/B5xHkkIG46/Li9mwhJmLswcbmQPvHEE098IHsOAKt17jJvrVY5\n7zIfBDPZ5TGbMV+8hH3EhH3UQnhWAjLD3Dm+giDgdXuw9w+jiV/8CXIrfy+3zUH3mXKutvTQYxry\nydBO0d35wl99Ft2NEXEwdun0Ws4cP0dSaiKRRl81qkqtpHBrIS/+9I/IFXIS0gKr/FRqlGRuyOXc\n88exm23EZMb7jY5ns0uqkKMMDyU0J42w/PSJmLlUrUZ0e3B0dCKP9s1ZeEwm7E3N2OrqEZRK1NlZ\nqFJTkEeEYymvRKrRINVqUUWEMlrVxEjXENEFacANrfaKa6gz0/0mvd9vl31gmK5D54jdvSHoRiI3\nsY2aaTtVQX9NO3K1AmWIFkEQUIaF4HW5GKloQJ+eiCAI9Ne203yklOTVSQxduoaIBJVaxuo/fwDR\nZUURGoJDqiTzY7sIzUomJD0RfUYi5uYO3DY76uj5q4iHr9ahDDegS16YVMJNZAYD4UmxuOXL2+5V\nGRaCc8yEub17VpunOnx1dMSyXo9a7exPhSsj/VuEraERURQxDdvRR6ixN7fMOyoAfFk8DW30VbVw\n+nvPc/Hp13HM8rh9O+EYHGHc7MDq9E3iTnWmMplswmEvhP337eXwlAldAL1Bx1f/9SucfOM05w+X\nBLwtlU7NA3//KF31HZx9/jiiN7CRqDYhekaVTGVqCni92GpqGb9wEUtVDVKDgZDtW9HkZE+kL0r1\nenQbirHWN+Do6kKQSEjaVsBoWw/jXYMAuPr7fVrtc6hiWnsG6DpcQvydm9HEBqeeKYoiw83dXD14\nhCu/fgeFTk1oYhTNx8o49x9/oPHIZcz9o4SvyUaqVtF39ipthy9Q9cIxYpPD0cVFkfLJ/cTfswOF\nXMQxPIJ7dIykvRsYbunGOjSpTyQIAjF3rGe0uhlb//AcVvlqB8bqWglfAsVJQSZDG7/8ImYAURsL\ncA6NM9bQPu2z9zv8D5IVp38LcI+O4urrx25xIVNIkCtliA4HjuvzizbJ1Eo8cgWnfvkWp6/WcOZ8\nOVWvnZl3vQ8a++AIw+O2Gz1xXXi8kze4mLjoRaXsbr9jC5fOX8HxPmE6XYiWr/3rVzj3bgmn3zo7\n5zZsFhu9N/qdypVy7v6bj+Ow2Hjv529ONFtZCIIgoClYhaBQoMnLJWTzRpTxcTPqxkvVavQb1+O4\n3oG9pRVDfjphYWpq3zyPx+nCVt+IOnf27A5LRy89xy+RcPd2VFGBdQADcDtcdFys4fyPXqbtTCWJ\nG3PZ+vWHSd66iri1maz7s7tY/5f3o9CpqXrpJBd++ip2iRzT4Dhtlxso+sIB0h/eR2hOKlKF3Feo\nFRVF94nzqDMzkMplpO0uouk9fzVUqVJB7J6N9By9gGcOsbbhinoMeelIb9Om8rMhSCTE3bmZwctV\nfmJ69tvI4cNKeGdZmGqXKIpYK6vwWK2MDVgJjdRM9FL1jI2jTEqcs6LPMjDKewePcL6xlV7TCINm\nM5a+MdbuWoc8iEYi77druRmubKT8ShOtw4O4PG7cXjeeG8VZOflZ7L1rskdDsHbJZDKut3bgdLhI\nzUjx+0yukFO0fS2v/+YNHDY7KdnJDPcP01jZxJXTZZx87RRvPvM2F967xMWjl4hONBIVF4VEIiG1\nKJP+1l4qDl8mtSiLkFDNgn4vQSpFHhEekPqlIJWiiI3B3tqG12JBrtdjH7fSdqaC8PQ4tCnTNeu1\nWiV9VS30l1SQeO8OlAHm4HvdHhrevUTdG+dR6jRk37OJpC35aCJCp036yhRyDIlGEtbnEJERj6l7\niKHrA6x6eBeGlOnzMYJcgcRuQ5GRjiAI6IxhtBy/iiElBqVuciJWrlUjiiKjVY0T4aKpuG12+s9e\nJXb3xiWb5LyV571ELkMVFUbv8UuEZCXjHDXRNYvD/6DCOytOf4kx94/iMVvhxijFPTSEvbkFm8mJ\nIBHQGLRwsxDH6wWpFPkNbSOnzcFg5wC6MN9F7LDYOPjtX1Da2EaXqZ8ByzBjdhPtw/10N7STmp9B\nqCFwEatb+Xt1nS7jat11OscGUEjlmByTE5TrN69j49bJJigLscsQFspLz73Gvnt2T/tMrpBRtGMt\n7zx3iDefeYf68gacDifGuCiKthdy96cPsPtju8hdl8PBHz7Hxn0bkcllCIJAYn4KtnEr5/9wkryt\n+bg8y18nIUgkKGJicHX3IBHduEfGUUhFmis6EbxeVDoVokdEkAggETA3XaenpJLE+3ahCLDrk+j1\nUvnCCWRKOWs+uxdjbjJyTWCDBrlGSXhaLAnrc1CFzlxQJ1GpiCnIxGbzzdsIgoAyVEvb6QpiC/3z\n41XGcMabOvDaHdMc4eClKrSJ0TNWDy+UxZz3Q01daIJsdiPXa30FbldqGK1pnnWE/0E5/aUrT1sB\np9lG+cHDyGRSogszSd5egK2+Ea9XxDrmICxOh279OsxlVxFvPN46WttQJicxOjDGoZ++hkQqITLJ\nyMaHdvDrf/i/NLR1MWwbxeSYFJlyed0cv3CJ4w9dIrcgm/337GHnvu2EhN4eiqNelwvzwBhjNhtW\np41wtcG/MCthcQqH4HtaGB4cpq+3n+iY6Q5CpVbyN0/9NaIoIpnlSSomMZr1u4t563dv84m/+vjE\n+4UHNqDUqXn53//AXV//xKJtDQRBIkGzugBbfQNarQQhLg5tMrRfqKGvvJGo+DBElwuv24MmTE/i\n/XcgC/BJTxRFal4/h1ytIPueTcum2f7+7UblJNF6spyR9l7CkmP8lou9Yz3tLx9FHRMxEZpyWWyY\n2rpIfeTAstgXLKMd/TQfKyMiI3hJ6LDVmXhsdqI2FtwWIZ2prIz0lwivx8vVZ46QtGUVWz63l4ZT\nFXRfqEYndWIzO5EpJIRkpqBKTgaJBPfA4I0VvbTXdXHqj2e54wsH2PyJnQz3DPHzf/ol3YPDWJxW\nekwDs+53sH+IC2cv88rzr9PU0EJaZgqhs2QF3arfy9Y/TMv5Giqvd9NvGUav1DI+5aZ1/8P3kJg8\nWZSyELsEQcBms9NY28zqopmlDgRBmNfBpeak8OYzbxOfFkdY1KS0bVRSNI0l1agNOkKi5q+CXQoE\nQUAeGYnSGIE+L4PQ9EQSt6zCYXXS09RL2r3biN1WSNq2AuzOwOcdmt4rxT5mpuDhXYsSB5uP9x9H\nQRDQRITSdKSUuHVZfsdCIpOiMobTc8wXBpHIpAxcqESfGo9miWUJFnre175+juStq9BGBq+kKQgC\n2oToOSuJV7J3PuQ0vHMBXUw48euykKsVFHxyFzoV1FztZWzQisagRpXhe8xVJiQiUanwekXKK7qp\nOF3FA3/7CeJzkhgdGuPtPx5h3GbD6XHRNe5f6aeWqRCY7shcLjdnjp/na3/2d/T1LE4EarHYB0bo\nHhrH4rKjkilwe/3z1pdipA+w757dHHn7GK++8OaC22/K5DI+/T8e5fkfv4jL6W/nns/v48JLp5dc\nCsNpd+K0zd4dTR4RPuEgBYmE9D1F5D24jfLnjtJ+PjjNoPZzVYxe72f1I7uX1eHPRnhaLFK5jKHG\n6RpJ6ugIDPnp9J4sxTluwdrZhyF3cVW8S4W5bwTbqInI7OD6AH8YWHH6S0B3WQPDnf2Mhcn5yb//\nX37w5P9hoKYOY5SSmHg9A4NWRuwyJGpfrrAglUBcAidPN+Nwutl7Rway4X46mjr53lf/nYGBEbyi\nl67xXj/pgjt2bSY3NhWlTEGMLpJwdSgatX/+sdlk4Rc/+e2t/PrTGGvrZWDcgtVlQy1XT+uYFRu3\nNJLR4RFh/PS3/0FjfTNf/+I3aG9dWAu75KwkctflcvjFI37vJ+QkotaraatY2qro8y+c4Plv/Zre\n5u6A1wlLiWHTVx5kpLWXYz98iZHWnnnX6b7aSE95I2s/tw/JPM2IlpPM/etpPFI6480qrCAT0eul\n482ThK/NmTHL6YOg9VQ5qTsLb0n7wlvNSnhnETgdTk6+eZzf/fezvHGphENvHqWuuoGKsmrOnSll\nfXYqEickZkcyMOphoO46kVkJDHUN8u4v3iU9I5KCXCMSiUB3Sxc//a+XsFntvn65pkEsrknJ3ihD\nGHuLt2DUyOjpNzFsGyMuJJotOXk8/DefoqWxjfExX150W3M7xZvWYoz2z9u+Vb9X29HLlDX4JnEN\nqhAsTisOj2+/kcYIHn3MP06+GLuUKiVbd20iKjqSf3/iv7BYrOQVZM8ax5+N9Lw0XvrZK2QWpKO/\nkQ2j1SpRGkI4+9xR8pfIAbgcTs4+f5w7v3w/J371Lm63m5j0uIC2LZXLiC5IJSohkpp3L9FxsRaF\nTo0mcnr2zUDddZqPXqH4z+9GPo8G/VIx23FUhmgYbu7GMW7FkOQ//yIIAtrEGFwmCxFFucviZIM9\nv2zDJlpPV5D3wNZldfor4Z0PCU6ni7MnS/jXb32fj+/7DP/6Lz+ioq0Fi8W/YKp3eJR/+MXLWEQH\n+pwM1j52gNCEKN7952d598evsOcv7mX1PdsA8Hq9vHqkAucNWdpR+zhjjskuOvpQPf/5u++TWpCO\nzewlMsSAVCLB7LTSeL2H9MhY/vZbX/Xb/9P/8csFhzwWg+jxYBocZ9xmw+F2opQpcE0J7yxVaOf9\nFG8q4umD/8nI8Ah//dj/T0NdcJo6CpWCR/76YZ77rxfwTpFJjkwyYoiNoOly3ZLY2XSpjtS1GcRm\nxPOJ73yO/pYe3vnRy9jN0zX5Z0IQBGJykyj+4j3k3LuZrtJ6Sn78Ct3lTRN2j7T1UvdWCUV/dhcK\nXfC6NUuNx+0hdnM+naV19F5rmfa5VKUgZmfxBxJ+monWMxUkbyu4bexZaj6yI/2RqibkOs2SdMm5\nyejIGH/7pW/yyvNv0NrUjnseASmb08ml2hZWr1lDeEI0FScrMI1biQnREJ2ZgC4ljv7KJk6erKP6\nui92b3PZ6R73j8k/+cNvkZ2XSXRaLFqdiraKFhwuL73mAUKUemx9I9z5yb201DXR0eF77B/sHyIx\nOZ60KXnst2Kkbx8c5drRK1T19ODwOAlV6Rm0jkyEqdYWr2brLv+uaUtll1wuZ8OWYlLTk/nhkz+m\nr3eAVWtykQWooR4RE0FbfTtDvYOk5qZO2BWZGMWp3x0h/45CX9rkIjh98D3W378VTagWqVxGenE2\nTruL4795F2NKDLoA0gNv2qUK1RK7Jp2wtFi6yxppOnwJt9NN83ulrP38/gVNQC4GlUpGd0sv3fUd\nNF2q49qxMi69dpbyQ5dpLWskdnU6/aV16IxhqMMDyzQTvSItx6/ScbGGkLjIgNNMpxLM+eUwWWk6\nfJn8j+9Ydqe/kqc/A4tx+q5xCz3HL/k0rwOs7BNFkZpTFRz9+Vu0VTSTVJCG/IYomiiK/PP//h6V\nV6unrScRBJLDo9iQnMGWtGzahwZwuH2jdrvbxbmzlxm62EZCZiL7v/ogMQVpXHvhOG2nK+huHqCk\n6Toujwe3103HWLdfHP/Pv/J5Dty3d+Lv8KRo1D391Lb2YnM5cHvdWEx2clUiubFhHLlchfdG7LS+\nupF7Hzow4fRuhdMfrGyi9HwVTYO9yKUylFIlg5bJsvsde7ZOy7ZZaruMMVEcuH8fVeU1/PcPf05c\nQizxiYFpuGSsSuP3P36RVRvyiYoO8zlXnZqB633YLTaikhde0j/cPUhLaT3rH9g68Z4gCBhTY4jL\nSuDoL97G7XQRkxE/a1hBFEU0GoXf76XQqonOTyEqL4XRtl7Sd68lJMjewYulr7mbZ//hV/Q2d+N2\nugiJCiO1MIOiezZRfO9mUgrTufjqGXZ86V4qnz9GWGoMynlaBHqcbq794QQumwNjXjI1r5zGNmbB\nkGgMao4imPOr5cRVwtNiCUtdnifSqaw4/RlYjNNXhociD9XRc/QCmngjMvXccU3LqJnDT79B+aHL\n2ExWxvpGMA2OkbHBp/L3+h/f5pXn35hYXiqRULypiP3bt7AtLInChBRiQgyEqNVsW5NJRct17Dcc\nv9Pjpnt0gBSJGrlX4Pq5Kkw9w3gcLloGhugaHcPudtBrGvATJduycxNf+/u/9HMAgiAgF704HC4G\nekbpNQ2gV+rwWD2sK0jC5nBSf9032rdYrCgVigkneyuc/vWTV7lS3Uz7SB+hKj1e0cuofVKD5e6P\n7Z9WRbscdkllUtauX0Nh8Wp+9dPfcfFcKXmrc9Bq53Y0coWcsKgw3n72HXbdt3XCrsikaE7+9jD5\nu9ZMVFQHy5W3SkhalYYxZfqNQxOqI3tLPtUnK6g+UU5fczf156upPV1B5dErXH33IlffuUjFkVJq\nzlSRviEH6fscn1ylICIjHlXowtoTlh++zFDn4Iz2zcfpg0fY94U7KbxnM8mr0zGmxqCPCEGm8A04\nlFoVTZfriMlMJH5NOpXPHycqO2nWkbt9zMKV37xLeFoc2fduRh8TQfz6HEw9w1S/egaJXEpIbMSc\nMXen2UZ/7XXM3YMoZqg6fj8uu5O6N86R/9DOWzLxveL0Z2CxE7mKUD3KSAPd75Wgjo6YNWe26XId\nb/3HHxnq8A+rDHcNEpMRz7BpjH/65r/huSGQJhEE/seXv8jd+3ZhK2tDPiXjICM3klCVik2rM7hY\n24rDNen4G3q7ibCCYHUhiiKtQwOcbKylx9TPiG3ML7UxISmef/3xEyhnKOWXaVRox8Z1bt5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rJRe2rWp5feg+qGWlpkBz56I1t3HcN2MBuA/rH9uHX2za2PqSyv4v/+8cF5992Yl4e1\n2kZ1uY1Gm53KunosDXWYtUYcTgeWxrZZSKPGJF9zY9unjZ06hi2rttFoa7zwnQWhB7nm3pFOu52G\nnMMcPtRWI/1EbQUbD+dwe+po4gf34Y6fXY9Pu7NZjUKD2elBQ00DD9/9G/7z3iccy8nDrG2bO5wc\nGYTzHN2uzkV2Oilbv4uq3YfctvsOiyXspjRUlzk+qlAq8Usa3LafFgcNRwuY8tuZrR9SZq3W1WBC\nrafJ0cxJqwWTSsvWvcepLyymucxV3O2euXfiH9g2RPHZf74k7+jxDvfrbGrCduw4uTmVePvpabE7\nyTpRhEqpQq/WUd98xtDOVTRV81IZTAZGjB/Ohq8yuzsUQbgk11zSl5RKLLYWKipcZ+yldVUcLM9n\neEQM1yVE0pidQ4S+mUd+nsaQAW1DN5IkUZJVzLjR17Fh9SY8VebWBDogzB8fg7Z1uuTFkB1OTvyw\njZqDx9y2+48agv/In95Qw3NAX9SebdUBaw4cxSfQi5SbRwGgkBR4aHVIkoSH1szxqpNIEvjoDKzb\nchTbgWycdjsGo4F7Hrij9XmcDievv/x2hxd1G3PzKDhaiV+AgcpyG012O8cqSwgwuhYg2extF3C1\nWi3DRlzbNcrHTxvHpv9upqmx6cJ3FoQe4tpL+goFBVbX7JmT1hr2lebS1yeMG5Ji0ZvbjacrFdw2\neQhpY93Lxu764UeU1WDUuIZKFJJEyql+qNbcYi6Gw95C0beZ1B4pcNseNC4J38TLvxDcnqRQ4J/c\n1phDdjip3HWQpNvSCAp1nbl76vSn/m/G0lhHvb0JL52RnQcLKcwppXD9dr576wuOfv4j/sa2GUr7\nfsxizXfr3fbnbGyk9MdDNNrsaHQqmhpaWHP4IB5aV1tEp+x0G88fPjLxnGUXrhUmDyOJqUPZ9N/N\n3R2KIFy0ay7pOx1OcrYdoqLewp4TR4nx7UPa4Ci8vE2oDe4lH1QmE7Mev4db77/FbXv76WFDB/XF\n81RnoLrjxRec1uhotnPgg2+pz2/Xgk8hEZI+Cq9BnbtC09wvHK1PW7Kuyc6ludbKpLlTMZv1GNQa\nVAoFaqUKjVLNsYqTOBxOfIxGvlyfzZfvb+TI1oMgQ0JwNBJt3z6W/vVd6q1tw5b6nRQAABWvSURB\nVDW1WYcoOFJF5ABfSgtrqaq3cqyiFB+Da/+25ga3OkfXXcVTNS/FxNvGs/6LjTQ39bzFP4LQkWsu\n6TfZGmmqb6TUWk1cYBReJiMDw/zxiu+P16SJmEeNRN8/Bl2/aMwjk5GUSibNmMDd83921gpKjVZD\n+i1jW287bI00tuugdCZHYxOFn6/Fkl/auk1SKgm7IRWPmPBOf62SJOHX7mwfp0zF9iw8+/gTlzwQ\no4cRj1Nn+956TwosZVibmtErNZy01uFs9wHmoTXQz7dtuKuyoor3//Wh63XZbBxas5/QCE8abS3Y\n6u38cDgLX4N363TWhpa2oR1JkkhJHdHpr7cnMnuZiR8Zx+bvtnZ3KIJwUa65pK83Gxg8figD/PrQ\n5HCQMTzGNa4dE44kSai8PNFFR6GP6YeiXbG3lIkjmPvcL9w6W02YPo6gBPe5wXV5HQ/xOJqaKfxy\nPY3lbVU7FWoVfW5OwxTRdR2jTJGhaP29W2/XHs6n5PstDEhPIizQC1+za9zfqDGgkpQcrSxBpVBi\n1uioaXCdyZtNOryCfBjoH45O1fb6P/3wC47nFnDs600olRK+gUZKCiwcLS/F2tSEQe26GC7LMnXt\nhnYGJ8TifapsQW8wacZE1n+xAXvz+QvlCUJPcM0lfYBxd09G0sukxUXiYdChC/BB43nhZgWDk2L5\n3auPkTJxBDfckcGNd16PxtPkNoRSl1t01hCP095C0TeZbglfqdMSfst4DCGd15awI9KpxV3t1R0r\n5MR3mQRHBzNi3DC0KtdyjACTL/k1pTTZm/E1GqlptBHiYyLIbCDQqEGr0xIf1DYt1eFw8MqilziR\nXUhkf1+sliZqamysPXIAT03bdNbGliaaHW0Jb1Racpe+5p7Gy9eTgcMGsm319u4ORRAu6JpM+rbi\nk4yMCaP/qQualzK0EhYVyt3zf8aUu25sbZZhigpt/bndYqW5uq22jOxwUPzdJhpOlLduUxl0hE8b\njy7g3J2iOpMpPBi/lHhoNyPIYWtEUVlBc34pcUNdF4/VSjWeOjNHG8vxD/IhzNuTslpXzXunrZlA\nbxOhHn5uF3UPHsunQrKgVCkoKbSwM/8YepUe/anm5+A+awfgumt4qua5TJ45kTWfrRXlAoQe75pM\n+rVHCvA6VX8GXBc8fwpzZJjb7dNDPLLTScnqbdQXtI3hKzRq4n92vdu3gyvBb/ggwqdNQO3RNo1T\nqVRg0Ej0N+nQaV1tHL31XhSWnaBOtjN2QgJ5lVU4Tq3INSgkPPRaEoLcL+ouX7uVysp6ikqq2VV4\nnFAPf+ztehG0n58fFh5Kn77ux6s38Pb3pl9cNNvX7uzuUAThvK65pC87nNTlthUzM4QEoDb+tB6c\nWj8vVO0Wc1lPDfGUrttJ3bHC1u2SSknYTWMwdVM9FkOwH5GzJ+M1uG2WkNmspamuicF9XMNMCknC\nV+fNlpz91LSoGNw/mBNW19m+JEkEeBrxNZqIbndRt6q2ng/X7GTVof34G7zdxv2bHXZs9va183vH\nrJ2OTJ41idUf/4CzXeVUQehprrmk77TbcTa3VT/sjFkzkiRhjmwb4mksr+bED9uwHMpru5NCQej1\n111WWYXOpFCrCRqbRNiUNFRGPQqFhIeHlnDvtq5fJo2BpsZmNq7fysQZE8mvqsI30PWhplBIBHmb\niPXv45bc1+/bR2F1JWatjuPVpVTaaqior+Kk1X02U29O+n7BfkQMiGDXqbpIgtATXXNJX6HV4Bnr\n6mqkD/HHY2DfTnleU5T7kEXt4fy2G5JESPpITOE9p268KTyYyNkZeMSEYzKqUcgSA0LbvoF4SEb2\nFh6l6EQtAwZFUGm3MWBIIBqdGp1aRbC3B3HtLurKQJPDzv6yPAotZZTXV1Jhq3brRubp5cGg+M5Z\nfHa1ypidzvcfrW4tYicIPc01l/QlSSJ4/AhiHphOxLQJKJSX3gawI4ZgPxTajvv5Bo0fgUd0x92E\nupNSpyUkfRShk0fjF2gmzMOrdaRerVTjrzPzwb+WM/GOm9iSXcrBFjVZpeVkVVWSXVqKwwE65bl7\nGJ8pdfyo1ovfvVVgWAAhfYPZs2nvhe8sCN3gmi2trNSoO/X5JIUCU98QanOOu20PSE3Ea+ClV9+8\nkjxiwhkcHkTfrCMc+Vs5eWWuqaVK9BRVl7Llnc+YMHYoxcdK6JfQj36pCZTtyeHjFV+jUalokR1n\nNZE/TavVoNPrGBg3gPsevvtKvqweK2POZN58+m1y9hwhenAU0YMj8Qnw+cn1lgShM1yzSb8rePQL\nd0v6fslx+CRcHfXilVoN0dePZJqk5C9PvgW4Lur29Q7m463beVhvIlSpIiF9ODuO5PLepysZP2QQ\nN6uHc+DICWoabUhAkaUGkFBICkaMH879C+/pzpfVI4VEBLPg9cfJzc7j2IFcNny1kdrqOiL6hxM9\nKIqowZGERYZ2WQ9dQTgfkfQvgTE8CN+kQViPl+AVG4VXXL/uDumS9Rs2kH5xURzNygXA7gCVQsm+\n4kJi+wTxxG8XY/bx5KVXn8ZQWEB1qZV+Y4ez+YvNtNhtlFnbxvATr+u4V7AAZi8TQ0bFM2SUa+Fc\nc1Mz+YcLyD2Yx5f/9zXlJeWkTExmVMZIvHyv7PReoXcTSf8SSJKEf3I8/snxF75zD5Y+cxJHs/4B\ngCzDgJBwvsvaz8YjOUxPHk5cn1Aqvt6M5OuB3exF0ffbaapvoKbdfHyVWsWgpNhz7UI4g0arISa+\nHzHx/ciYnU5djZWtq7fx+qK/ExweSOoN1zEgsf8123RG6DlE0u+FBo8YRHB4ECdOLSqrqGtgdHQc\nET5eNNTKZO4pRKtWYdRX4BXsQ0hMKKE+Vby/tm0qYuywgei6oEl2b2H2MpE+YyITp48nZ89hMr/Z\nzMdvf8KoySMZmZ6C2ct04ScRhMvQZUnf4XDw1FNPkZeXh1KpZMmSJciyzMKFC5EkiZiYGJ599llx\nZtMNJEli0oyJvP+qqzVic5OdqJQ4hg2JoenIcSRbg/tFR5uVvFor9naLjoaMvrq/7fQUCoWC2GED\niR02kJpKC1u+38pLj/6Z37z8CL6BV6aMh9C7dFnGXbt2LQDLly/nkUceYcmSJSxZsoTHHnuMf//7\n38iyzA8//NBVuxcuIGncMLex5F2Zu+kzIpbI1MF4RgS61fEByC2tav23pJCIT4lD6Fxevp7ccHsG\nGbMmsXbluu4OR7hGdVnSnzRpEosXLwagpKQEPz8/Dhw4QHKyqwJjWloamzeLjkPdRaVWMX7auNbb\ndTVWtn6TSfOJEwRfP4a+M9LR+rrKIztlmbx2Sb9fXDQmTzH80FVSJiWzf2sW9XX1F76zIFyiLh3T\nV6lULFiwgFWrVvH666+zdu3a1mEDo9FIXV3deR/v7W1ApTr/Yh9//wuXTO4OV0Nct9w1mW+Xf09D\nvatK5g+frGH4kocICPaGYG9CB4RRtGkvWz5dR0O7WvHXTR7R6a/vajheV9KkW9PYtWYHtz1wc4c/\nv9y4nA5nl04VFb/HS9MdcXX5hdyXXnqJ+fPnM2vWLJqa2hpI19fX4+Hhcd7HVlfbzvtzf38z5eXn\n/+DoDldTXKk3jGbVCtcwW0VlHb//xZ8Jj+lDYupQElOH4h/bjwqv3W6PiY7v36mv72o6XlfKsPEj\nePmRVxh5/Wi3xj4/Ja7CY0V88f++Yt7iuZ0Vphvxe7w0XRnX+T5Muuwjf+XKlSxduhQAvd5V5jgu\nLo5t27YBsGHDBpKSkrpq98JFGjdt7FnfpgqOFPL5/37Jc/cvZsm8l9m1cU/rz8Jj+uBzhfoE9GZG\ns5GEUfFsXdU5jVmcTif/+fvHTJ45qVOeT7h6dVnSnzx5MgcPHuTOO+/k/vvv54knnuCZZ57hb3/7\nG7Nnz8Zut5ORkdFVuxcukpevJ3f97k48vDv+1lWUW4zVYm29PWRUwpUKrdcbP20s6z5f3ymlmrd8\nvw3/EH9iEq6+BYVC5+qy4R2DwcBrr7121vZly5Z11S6Fy5Q0bjjDxiSSm53H7sw97MncS02lpcP7\nDhktkv6V4hPgQ8SACHZv2svwtMTLfh6rxcr3H63md6882onRCVcrsThLAEChVNAvLpp+cdHc9otb\nOZ6Tz+7MPezO3Ev1SVeBtoGJ/QkKD+zmSHuXSbdNYNlf/s2wMUMvu2Db5//7JROnjzvntzmhdxFJ\nXziLQqEgKjaSqNhIpj8wjYIjhdRW1zIwcaCoFHmFhUaGYPYyk7PnMAMTB1zy43MP5lGUW8ztv57d\nBdEJVyOR9IXzkiSJiP4/vfuYcPnSZ07ku+WrLjnpOxwOPnpzBXN+PUtU9BRaib8EQejh+sVF01Df\nQOGxogvfuZ31X2wkYkAEfQdEdFFkwtVIJH1B6OEkSSJ95kRWr7j4siU1FTWs/3Ijt9wzpQsjE65G\nIukLwlUgYWQ8RbklVJRWXvjOwKf/XMkNt2dgMBu6ODLhaiOSviBcBRRKBROmjWXNp2sveN9Du3Oo\nqaolZdKIKxCZcLURSV8QrhLJE0dwYMdBamvOvXTf3tzCiqWfMmfeDDHTSuiQmL0jCFcJtUbNdTeM\n4u/PvoNfsD9OWUaWnchOGVmWkZ0y5ScqGJQ0iJC+Id0drtBDiaQvCFeRcbeMJf/gMSyWBiSFhCRJ\nKBQSkkKBQpIYrFTQf0hMd4cp9GAi6QvCVUSj1TB6cnKPrBopXB3EmL4gCEIvIpK+IAhCLyKSviAI\nQi8ikr4gCEIvIpK+IAhCLyKSviAIQi8ikr4gCEIvIpK+IAhCLyLJsix3dxCCIAjClSHO9AVBEHoR\nkfQFQRB6EZH0BUEQehGR9AVBEHoRkfQFQRB6EZH0BUEQepGrqp7+qlWr+Pbbb3nllVcA2LNnDy++\n+CJKpZLU1FR+9atf4XQ6ee6558jJyUGj0fDCCy8QERFxReLrzn23t3fvXv785z/z/vvvk5+fz8KF\nC5EkiZiYGJ599lkUCgVvvPEG69atQ6VS8cQTT5CQkNBl8djtdp544gmKi4tpbm7ml7/8Jf369ev2\nuBwOB0899RR5eXkolUqWLFmCLMvdHtdplZWVTJ8+nXfffReVStUj4po2bRpmsxmAsLAwZs+e3SPe\ng0uXLmXNmjXY7XZuv/12kpOTe8Tx+vTTT/nss88AaGpqIjs7m/fff797j5l8lVi8eLGckZEhP/bY\nY63bpk6dKufn58tOp1N+4IEH5KysLPm7776TFyxYIMuyLO/evVueO3fuFYuxO/d92j/+8Q95ypQp\n8syZM2VZluWHHnpI3rp1qyzLsvz000/L33//vZyVlSXfddddstPplIuLi+Xp06d3aUwrVqyQX3jh\nBVmWZbmqqkoeO3Zsj4hr1apV8sKFC2VZluWtW7fKc+fO7RFxybIsNzc3yw8//LA8efJk+ejRoz0i\nrsbGRvmWW25x29YT3oNbt26VH3roIdnhcMhWq1V+/fXXe8TxOtNzzz0nL1++vNuP2VUzvDNs2DCe\ne+651ttWq5Xm5mbCw8ORJInU1FS2bNnCrl27GDNmDABDhw4lKyvrisXYnfs+LTw8nL/97W+ttw8c\nOEBycjIAaWlpbN68mV27dpGamookSYSEhOBwOKiqquqymK6//noeffTR1ttKpbJHxDVp0iQWL14M\nQElJCX5+fj0iLoCXXnqJOXPmEBAQAPSM3+OhQ4doaGjgvvvu4+6772bHjh094j2YmZlJ//79mTdv\nHnPnzmXcuHE94ni1t3//fo4ePcpNN93U7cesxyX9jz/+mClTprj9t2/fPm688UYkSWq9n9VqxWQy\ntd42Go3U1dWdtV2pVNLS0nJFYu/OfZ+WkZGBStU2aifLcutxO9cxOr29qxiNRkwmE1arlUceeYTH\nHnusR8QFoFKpWLBgAYsXLyYjI6NHxPXpp5/i4+PTmgSgZ/wedTod999/P++88w7PP/88ixYtQq/X\nn7X/K/0+qK6uJisri9dee43nn3+e+fPn94jj1d7SpUuZN29ej8hbPW5Mf+bMmcycOfOC9zOZTNTX\n17ferq+vx8PDg8bGRrftTqfTLQl2pTNjupL7PheFou1z/fQx6ujYnR6n7SonTpxg3rx53HHHHdx8\n88386U9/6hFxgeusev78+cyaNYumpqZuj+uTTz5BkiS2bNlCdnY2CxYscDsj7a64IiMjiYiIQJIk\nIiMjMZvN1NTUnBXXlX4Penl5ERUVhUajISoqCq1WS2lp6VlxddffV21tLbm5uYwcORKr1drteavH\nnelfLJPJhFqtpqCgAFmWyczMJCkpiWHDhrFhwwbAdaG3f//+Vyym7tz3uQwaNIht27YBsGHDhtZj\nlJmZidPppKSkBKfTiY+PT5fFUFFRwX333cfjjz/OjBkzekxcK1euZOnSpQDo9XokSSIuLq7b4/rg\ngw9YtmwZ77//PrGxsbz00kukpaV1e1wrVqzgj3/8IwBlZWU0NDRgMBi6/T04fPhwNm7ciCzLrXGN\nGjWq24/XaTt27GD06NFAz8hbPe5M/1Kc/irncDhITU1lyJAhxMfHs2nTJubMmYMsy/zhD3+4YvGk\np6d3277PZcGCBTz99NO8+uqrREVFkZGRgVKpJCkpidmzZ+N0OnnmmWe6NIa3336b2tpa3nzzTd58\n800AnnzySV544YVujWvy5MksWrSIO++8k5aWFp544gmio6O7/Xh1pCf8HmfMmMGiRYu4/fbbkSSJ\nP/zhDygUim5/D44fP54dO3YwY8YMZFnmmWeeISwsrNuP12l5eXmEhYW13u7uvCWqbAqCIPQiV+3w\njiAIgnDpRNIXBEHoRUTSFwRB6EVE0hcEQehFRNIXBEHoRUTSF4R26urqmDdvHmVlZTz44IPdHY4g\ndDqR9AWhHYvFQnZ2NoGBgfzzn//s7nAEodOJefqC0M7cuXPJzMxk7NixZGdns2bNGhYuXIher+fg\nwYPU1tby29/+ls8//5xDhw4xadIkFi5ciMPh4OWXX2b79u04HA6mT5/OPffc090vRxDOIs70BaGd\np556ioCAABYtWuS2/eTJk/znP//hF7/4BYsWLeL5559n5cqVfPTRR9TV1fHRRx8B8Nlnn7FixQp+\n+OEHdu7c2R0vQRDO66ouwyAIV0paWhoAISEhxMTE4OvrC7iKfVksltbiaFu3bgXAZrORk5NDUlJS\nt8UsCB0RSV8QLoJarW79d0fVDx0OB48//jiTJ08GoKqqCqPReMXiE4SLJYZ3BKEdlUp1WXXMR44c\nyUcffYTdbqe+vp477riDPXv2dEGEgvDTiDN9QWjH19eXkJCQs8b0L2TOnDnk5+dz66230tLSwvTp\n00lJSemiKAXh8onZO4IgCL2IGN4RBEHoRUTSFwRB6EVE0hcEQehFRNIXBEHoRUTSFwRB6EVE0hcE\nQehFRNIXBEHoRUTSFwRB6EX+P1x+pnrmeIGGAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10da1df98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"palette = sns.cubehelix_palette(light=.7, n_colors=6)\n",
"sns.lineplot(x=\"time\", y=\"firing_rate\",\n",
" hue=\"coherence\", size=\"choice\",\n",
" palette=palette,\n",
" data=dots);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Plotting with \"long\" versus \"wide\" data\n",
"---------------------------------------\n",
"\n",
"Like many other functions, :func:`lineplot` is most flexible when it is provided with \"long-\n",
"form\" (or \"tidy\") data, typically in the form of a DataFrame where each column represents a variable and each row represents an observation. However, data are not always naturally generated or stored in long-form format, and it can be helpful to be able to take a quick look without reformatting. To support this, :func:`lineplot` can visualize a number of different \"wide-form\" representations if they are passed to ``data``. For instance, you can pass a wide DataFrame, which will draw a line for each column using the index for the ``x`` values:"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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iUPR8oYPJ1Pe+7Z7SUCKmLMjPNrTpd1+NIytTzAEybGgK5fV2Dh4z4w+2Xt9k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\naqaomnkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d4955c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"date = pd.date_range(\"2017-01-01\", periods=365)\n",
"vals = np.random.randn(365, 4).cumsum(axis=0)\n",
"wide_df = pd.DataFrame(vals, date, list(\"ABCD\"))\n",
"sns.lineplot(data=wide_df);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Numpy arrays are handled similarly, except you lose the label information that you get from pandas:"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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4lzAw5Oy1Ul+2bBmlpU0xz8FgMPIl6XQ6rNauewqazb1P/U1KMgyKvoVhOQ8c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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d7d0ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"wide_array = np.asarray(wide_df)\n",
"sns.lineplot(data=wide_array);"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"You can even pass in a list of objects with heterogreneous indices:"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
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