diff --git a/src/notebooks/132-basic-connected-scatterplot.ipynb b/src/notebooks/132-basic-connected-scatterplot.ipynb index 3c26e3e127..c434f1fa15 100644 --- a/src/notebooks/132-basic-connected-scatterplot.ipynb +++ b/src/notebooks/132-basic-connected-scatterplot.ipynb @@ -4,11 +4,11 @@ "cell_type": "markdown", "source": [ "Connected scatterplots are just a mix between [scatterplots](http://python-graph-gallery.com/scatter-plot/) and [linecharts](http://python-graph-gallery.com/line-chart/). It can be made using the `plot()` function of [matplotlib](http://python-graph-gallery.com/matplotlib/) with the possible parameters:\n", - "* `x` : The horizontal coordinates of the data points\n", - "* `y` : The vertical coordinates of the data points\n", - "* `data` : An object with labelled data\n", - "* `linestyle` : Line style can be one of these {'-', '--', '-.', ':', '', (offset, on-off-seq), ...}\n", - "* `marker` : Marker style\n", + "\n", + "* `x`: The horizontal coordinates of the data points.\n", + "* `y`: The vertical coordinates of the data points.\n", + "* `linestyle`: Line style, also abbreviated as `ls`. A list of available styles and how to customize them can be found [here](https://matplotlib.org/stable/gallery/lines_bars_and_markers/linestyles.html). Some of the most popular are `\"-\"` for a solid line, `\"--\"` for a dashed line, and `\":\"` for a dotted line.\n", + "* `marker`: Marker style. A complete list of available markers can be found [here](https://matplotlib.org/stable/api/markers_api.html). Some of the most popular are `\"o\"` for a circle, `\".\"` for a point, `\"^\"` for a triangle, etc.\n", "\n", "If you want to customize them, just check the [scatter](http://python-graph-gallery.com/scatter-plot/) and [line](http://python-graph-gallery.com/line-chart/) sections of the website!" ], @@ -16,6 +16,171 @@ }, { "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# Libraries\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "# Set figure default figure size\n", + "plt.rcParams[\"figure.figsize\"] = (10, 6)\n", + "# Create a random number generator for reproducibility\n", + "rng = np.random.default_rng(1111)\n", + "\n", + "# Get some random points!\n", + "x = np.array(range(10))\n", + "y = rng.integers(10, 100, 10)\n", + "z = y + rng.integers(5, 20, 10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "By default, `plt.plot()` generates a solid line plot. This function can also be used to obtain both a scatterplot and a lineplot at once by passing both the `linestyle` and the `marker` type. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x, z, linestyle=\"-\", marker=\"o\", label=\"Income\")\n", + "plt.plot(x, y, linestyle=\"-\", marker=\"o\", label=\"Expenses\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice the legend generated automatically combines both lines and markers. This legend also reflects any customization we may apply." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(\n", + " x, z, ls=\"--\", lw=3, \n", + " marker=\"X\", markersize=10, markerfacecolor=\"red\", markeredgecolor=\"black\",\n", + " label=\"Income\"\n", + ")\n", + "plt.plot(\n", + " x, y, ls=\":\", \n", + " marker=\"o\", markersize=15, markerfacecolor=\"None\", \n", + " label=\"Expenses\"\n", + ")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you want to have only either the line or the dot in the legend you can combine `plt.scatter()` and `plt.plot()` giving the label to the one you want to include in the legend. For example:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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69WcWbD7EzjzHlqDwtnlxQc92sohdCNGqfZGVy4BOEXSMbHoF9QBfG0lx4VLPyiSSWAlTrc8uYuLLP5FbWM47N6czIaVpiyibY0p6PBXVdmZnOv70JCGEcDVbDhaz9VBJo2tXNeSGIZ24YoB1a3E9icuusRLuZ0NOEZP+9zORQb5MnzaIHu1CnNJvv7gw+sWG8eHKfdwwpJMsZhdCtCpzsnKxeSnG9uvQ7Dac8Sa4tZARK2Ganu1DuG5wPJ/fMdRpSVW9yenxbDlYwqYDxU7tVwghrLZsxxHO6daGNsF+LWont7CcLQflNbSlGnUIs6M1dAizcA+1ds1L3+9gyqB4okNa9kvdEmWVNezJL6NPTJhlMQghhBVqau0UHKtq8c7oS174kVB/Hz6cOtikyDzXmQ5hlhEr0WzHqmq4/f3VPLdgG1+uy7U0liA/b0mqhBCtkrfNy5RyM+kJkWTuP0pVjVRhbwlJrESzHC6u4Or/Lef7LYf4+/g+3DzM+ppjFdW13D8ri4/k/EAhRCtQXWtn/EtLmZNlzsadQQmRVFTbWV9XJkc0jyRWosl25pVy2SvL2JlXyus3pHHj0M5WhwSAv4+NbYdKeGfZHjkKSQjh8X7acYR12UUEmFQjsP6osZVSz6pFJLESTRYZ6Et8ZCCzbh/CyF7trA7nJFPSO7HlYAmZ+wutDkUIIRzqi6xcQv29GZEYbUp7UcF+dGsbLPWsWkgSK9Fo3206RGVNLRFBvnw4dTB9Y11vTdP4lBiCfG18uEKmA4UQnqu8qpb5Gw8ytl8H/LzNO9XimSuT+Mdl/UxrrzWSxEqcld2ueXreFm57L4P3f95rdThnFOznzfiUWOauy6W4QiqxCyE808IthyirqmV8C4qCNiQ1PoKY8ABT22xtpECoOKOK6lp+//Favlp3gCmD4rnJRdZTncl1g+MJ8rVRUyvrrIQQnikuIpApg+IZlBBlart2u+aDFXvpGBnI+YlyIHNzSGIlTiu/tJKp769m9d6j/GlsT24b3sUtqpr3iQmT0gtCCI+W0jGclI7hprfr5aV4bcku+saESWLVTDIVKE4rv6yKvfnHePXa/kw9t6tbJFX17HbN0u1H2H6oxOpQhBDCVOuyC9lx2HGvbekJkazaUyC7q5tJEivxK7vyStFa06NdCD/+4XwubsH5U1Y5Vl3L7e9n8NqSXVaHIoQQpnry6y1MfW+1wxKfQQmR5JdVsTOvzCHtezpJrMRJPs/MZvR/ljBz1X4AAnzN223iTCcuYi8ql0XsQgjPcLCoguW78xmfEuOwWYT0unVbUs+qeSSxEgBorfnPgm3cN3MtAzpFcHFf9xulOtWU9Hgqqu2mVSUWQgirfbkuF61hfLK5uwFP1DkqkHahfmQfPeawPjyZLF4XVNXYeeizdXy2JofL+8fy1OVJ+Hq7f87dLy6MfrFhzFixj+sHd3KrNWJCCNGQOVm5JMWF0SU62GF9KKX44cHz8Tepontr4/5/PUWLrdl3lNmZOdx3YQ/+fVWyRyRV9Sanx1NQVsXhkkqrQxFCiBY5XFLB1kMlDh2tqidJVfMpV1j1n5aWpjMyMqwOo9Upr6o9voZqV16pQ98BWaWqxo6XMk5/F0IId1dcUY0CQvx9HNrP0bIq7pmZxdVpHbkkyf2XhphNKbVaa53W0H3y16aVWrPvKCOeWcTirYcBPDKpAvD19sLb5kVNrZ3KmlqrwxFCiBYJ9fdxeFIFEBbgQ9a+oyzdkefwvjyNJFat0NfrDzD5teX4+9joGBlodTgOd6S0knOeXnR8p6MQQribddmFTHhpKducVJvPy0sxsHMkK2RnYJNJYtWKaK353w87mTZ9DX1iQvl82lC6euhI1YnaBPvRJsSXGSv2ScE7IYRbmpOVy+YDJbQL8Xdan+kJkezKKyNP1qg2iSRWrcjibXk8+c0WLunXgRm3DSYq2M/qkJxmSnonthwsIXN/odWhCCFEk9TaNXPX5nJeYjRhgY6fBqyXnhAJwKo9MmrVFJJYtSLn9YjmlWv78+Lk1Fa342N8SgyBvjY+XLHP6lCEEKJJVuzK53BJJRNSYp3ab9/YMIZ3b4O/j6QKTSHfLQ+XW1jONa/9zM68UpRSjO3XAS+v1lfPKdjPmwkpMVKJXQjhduZk5RLka2NkL+ceiuxj8+L9WwZxQc92Tu3X3UmBUA+2IaeIW95dRVllLYeKK1rFeqozuXV4Fy7u24EQP/lvL4RwH0O6RpEQHWTZTENZZQ3eNoWfd+ua6Wgu+QvjoRZuPsRdH2YSHuDDJ78bQs/2oVaHZLmu0cGtPrkUQrifianOnQI80frsIia+8hOv3zBARq4aSaYCPdDirYe57b0MukQH8fkdwySpOsHRsiqe+Hoz67ILrQ5FCCHOavHWw+SXWrcrr3u7YLwUUnahCWTEygPMzszhmflbyS0sJyY8gHtGdud353XljvO7EegrP+ITedsUHyzfy9GyKp65KtzqcIQQ4rRKKqq5/f3VXD2wI49N6GtJDP4+NpLjwlkpiVWjyYiVm5udmcPDn60np7AcDeQUlvPoFxvp3jZEkqoGhPj7HF/EXlwhi9iFEK7r242HqKyxMyHF8WcDnkl6QiTrs4s4VlVjaRzuQhIrN/fE15sprz75qJby6lqemb/Voohc3+T0eCqq7czJzLE6FCGEOK05a3OJiwigf3yEpXGkJ0RSY9dk7iu0NA53IYmVm6q1a8a/tJTDp6mIm1tY7uSI3EdSXDh9Y0OZLpXYhRAuKq+kkp92HGF8cgxKWVsiZ0CnCP5ySS8S2gRZGoe7OGtipZR6Syl1WCm14YRrkUqp75RS2+tuI+quK6XUC0qpHUqpdUqp/o4MvjU5WFTBGz/u4uHP1gNg81Kc060NYQENV+GNCQ9wZnhu58YhnenVIZSKarvVoQghxK+s2J1PrV07vShoQ0L8fbh1eBf5u9JIjVmE8w7wEvDeCdceAhZqrZ9SSj1U9/kfgYuB7nX/BgGv1t2KZigoq+Lr9QeYuzaXlXsK0Br6xoZSXlVLgK+NP4zpSY92ITz82fqTpgMDfGw8ODrRwshd31VpHbkqraPVYQghRIMuTYqhf3yEyyQzhceq+GlHPhf2biv1rM7irCNWWuslwKnbASYA79Z9/C4w8YTr72nDciBcKdXBpFhbhZKK6uMLBL9af4C/zN7AkdJK7h3Zg4W/H8GXdw0nwPeX/9QTU2N58vJ+xIYHoIDY8ACevLyfpXVP3MnmA8WUyCJ2IYQLcpWkCmD5rgLumLGGDTlFVofi8pq7bayd1vpA3ccHgfqqYbHA/hMel1137QDitMqralm45RBz1+ayaGsefxvXhymD4hmfFMOA+Ah6dQg54xz7xNRYSaSaYduhEi5+/kf+b0Ifrh/S2epwhBACgNeX7GLlngJeubY/PjbXWAo9sLOxgH7F7gIGdIq0OBrX1uL9+FprrZRq8gpgpdRUYCpAfHx8S8NwS9W1dh74eC3fbTrEsapaokP8uHZQPP07hQMQFujj1JPMW5se7UKOL2K/bnAnyxeICiEEwCerswnx93aZpAogKtiP7m2DWbm7gGnnWR2Na2vuT+1Q/RRf3e3huus5wIkLV+Lqrv2K1vo1rXWa1jotOjq6mWG4l5paO0u3H+G9n/cAxgGXxeXVTEiJZcZtg1j+8EgeHddHKqU70eT0eLYcLCFrf6HVoQghBFsOFrP1UInltasakp4QScaeo9TaZTf1mTR3xOoL4EbgqbrbOSdcv1Mp9RHGovWiE6YMWyW7XbNm31Hmrs3lq/UHOFJaRVSQL9cMjMfX24u3b063OkTXt24WLHwMirIhLA5GPgJJk0xpenxyDP/4ajMfrtxHqsW1YoQQYk5WLjYvxdh+rrc8OT0hkukr9rH5QDF9Y8OsDsdlnTWxUkp9CJwHtFFKZQOPYiRUs5RStwB7gfq/cl8DY4EdwDHgZgfE7PK01mgNXl6K/y3ZxdPztuDn7cXIXm0ZlxTD+T3b4uvtOkO8Lm3dLJh7N1TX1eUq2m98DqYkVyH+PoxPjmHB5sNU1djl5yKEsIzdrvkiK5fh3dsQFexndTi/ckHPtvzw4HnERwZaHYpLU65QIDEtLU1nZGRYHUaL7ThcwhdrD/Dl2lweHtuLUb3bsS//GKv3FXBhr3aE+Mt6qSZ7rq+RTJ0qrCPct+HX15vhcEkFgb7eBPvJEUBCCOtUVNfy2pJd9IkJZWSvdmd/grCMUmq11jqtofvkL0kLVdbU8saPu5m7NpctB0tQCoZ0iSKoriRCfFQg8VGS3TdbQ0kVGNOCJmkb4g9wvAq7LGIXQljB38fG3SO7Wx3GGS3flc+crFyeuKyvvFaehsx7NMOh4gqW7TwCgK/Ni49W7SPIz5u/jevNiodHMuO2wQzt1sbiKD1E8GnetYXFmdpNfemFtdlSo0UI4XzVtXbmbzxIxSlnv7qaffnH+HDlPnbmlVodisuSEatGOlpWxTcbDvLF2hxW7C4gMtCXFX8aibfNi3n3nEuQTCOZS2tQCi56HL64C2oqfrnPJ8BYwG6iDmH+7Cs4xowVe0npGG5q20IIcTZLdxzh9vdX8/oNaYzq7brTgOkJRg2rFbsL6NY2xOJoXJOMWDXC2z/tZuA/FvCnz9dzuKSSe0Z2Z+btQ/CuqzEiSZXJtIYv74MVrxkL1Me/aKypQkFoHIx81LRdgfXqF7HPXXuAYqnELoRwsi+ycgkL8GFED9cuP9QpKpC2IX6s3H3qgSyiniRWpyivquWrdQf47furWZddCEByx3BuHd6Fr+4+h4X3j+DeC3vQrW2wtYF6Kq3hmz/C6reh9KBxLWmSsVD9b4XQ/wZY8DcoLzS96ymD4imvrmVOVq7pbQshxOmUV9Uyf+NBxvZr7/I7k5VSpCdEsmJXAa6w+c0VyVALRuHOH7blMXdtLt9tOkRZVS1tgv3ILawgKQ76x0fQX2ocOZ7W8N0jsPJ/MPgOuOCvv35M91Gw+AnY8CkMvMXU7vvFhtEnJpQZK/Zx3aB4WZgphHCKBZuN0zfGJ7vH0WSDEiLZcrCE4vIaOR2kAa0isZqdmcMz87eSW1hOTHgAD45OZFxyDAeKyomLCKTGrrnnoyxsXorxKTGMS4phUJcobF7yh9WpFj8Jy16AtFtg9D+MNVanikmFdn0h833TEyulFPdd2IOSyurjS7yEEMLRlu08QvtQ/+Prl1zddYM7yfmqZ+DxdaxmZ+bw8GfrKT9hp4XNSxHoa6NdqD/f3XcuSik25RbTrW2wyw/DerSfX4HDm2DcC+B1hp/D8v/CvD/Cb3+C9n2dF58QQjiA1pqDxRV0CAuwOhTRSGeqY+XxWcQz87eelFQB1No11bV27h/Vg/q8sndMqCRVVinNM26HTDMWqp8pqQJjzZXNF9Z+6JBwjpZV8dqSnbKIXQjhFEopt0uqXvp+OxNe/snqMFySx2cSuYXlDV6vrLYztl8HvGS6z1qr3oAXUuFgXRX1xsy/BUbC9bPh/D87JKT9R4/xxNdbmJPZ4PnhQghhmt99sJoXF263Oowm8/O2sXZ/IYeLK87+4FbG4xOrmPCG3wWc7rpwoswP4KvfQ+dh0KZH057beRj4Oqaiff0i9ukr9smuFyGEwxwoKmfexoPUuuHrTP16sJV7pOzCqTw+sXpwdCIBPraTrgX42HhwdKJFEQkA1n8Cc+6ELufDVe+Ct2/T28j8wKh3ZTKlFJPT49lysEQqsQshHObLtQfQGsYnx1gdSpP1iQkl0Ncm9awa4PGJ1cTUWJ68vB+x4QEoIDY8gCcv78fEVPfY1uqR9i2Hz6ZCp2FwzQzw8W9eO4X7IeNtKNxnbnzAhJQYAn1tfLjC/LaFEAJgztockuLC6BLtfnURvW1eDOgUIYlVA1pFuYWJqbGSSLmS2AFw3kMweFrLpvNSr4UfnobM6XD+w+bFh1GJfUJKLAVllWitpaaVEMJUOw6XsiGnmL9c0svqUJptYkosO/JK5TXyFB5fbkG4kD0/QVQ3CDHxHKz3JkL+DrhnLXjZzvrwpqi1a6llJoRwiH35x3jtx53cdUF32oU2c9ReWKZVl1sQLmLPT/DBFfDNg+a22/96KNoPuxab2y4cT6oOl1TIInYhhKniowJ5fGI/t0+qKqpr2V9wzOowXIokVsLx9q+EGZMgPB7G/tvctnteCr3GgW+Que3WWbT1MIOfWCiL2IUQptmXf4zVe4869w3bulnwXF/4W7hxu26WKc3e/PYq7vww05S2PIUkVsKxcrPggyshKBpumAPBJp/c7u0HV38A8YPNbbdOWqcI/H1kEbsQwjzv/ryHya8tp7i8xjkdrpsFc+82RvfRxu3cu01JrgZ0imBDThFllU76WtyAJFbCcbSGeQ+DfxjcOBdCOziur+JcyFlterMh/j6MT47hi7W5UoldCNFitXbN3LW5nJcY7bwDjBc+BtWnFMuuLjeut9DAhEhq7Zo1+462uC1PIYmVcBylYNJ7cNNcCO/o2L5mXg9z7gIHDK1PTo+nvLqWOVm5prcthGhdVuzK53BJJRNSnLhTvSi7adebYECnCLwUUnbhBJJYCfMV7DIqqtdWG1N/EZ0d32fKFDi8EXLXmN50UlwYvTuEMmvVftPbFkK0LnOycgnytTGyV1vndRoW17TrTRDs503f2DBWSGJ1nCRWwlyF++Dd8bDhs7r5fCfpdyV4B8Ca901vWinF01ck8foNDe6sFUKIRrHbNct2HWF03/b4+5hbHuaMRj4CXqeUrfQJMK6b4KExPXn44p6mtOUJWkWBUOEkxblGUlVZbKypiuzivL79w6D3BNjwKYx+wvRzBPvFhZnanhCi9fHyUiy4fwQlFU5e6J00CbbNh61fQ/UxCGwD6VON6yYY2q2NKe14ChmxEuYoPQzvTYCyI3DdZ9Ah2fkxpF4HVaWwf4VDml+7v5DfvLNKFrELIZrNz9tGm2A/53d85Zvw5wPwSAGgjcLKJvpu0yGWbj9iapvuShIrYY6i/VBZAtd+DHEWTZl1Pgfu2wRdz3dYF99vOSyL2IUQTVZSUc3Fz//Ioq2Hndux1rDrB7Dbjc+9bNBjDGyfb6yDNcm/5m/ltR93mdaeO5PESrRMTZVxGzsA7s6CTkOsi0WpX0o6OGB3YP0i9hkr9kkldiFEk3y78RCbDxQT6u+kEgv1di2G98bDps9/uZZ4MVQUwb7lpnUzMCGC1XsKqKm1m9amu5LESjRfZQm8MxaWvWh87uMCRzPYa42CpN8/bnrTSimmDIpn84Fi1kkldiFEE8xZm0tcRAD948Od2/HPL0NQW+OUinpdzgebn7HmyiTpCVGUVdWy6UCxaW26K0msRPNUlcH0SZCzBiISrI7mF14241/mB1Br/gLRCSkxBPramCGV2IUQjZRXUslPO44wISUGpZx4sPvhLbDjO2OhuvcJ67r8gqHLCOP12yTpnSMBqWcFsitQNEd1OXw4GfYvhyvegF6Xnv05zpR6HWybBzsWQOIYU5sO8ffh9nO7Ehnk5OF8IYTb+nr9AWrt2rlFQQGWvwze/pD2m1/fd9n/wD/ctK7ah/kTHxnI+hwZzZfESjSN3Q6zboTdP8DEV6HvFVZH9Gs9xhhnE2a+b3piBXDPhd1Nb1MI4bm6twvm5mGd6dEuxHmd1tbAnp8geTIERf36/sBI07v85HdDiLZix6OLkcRKNI2Xl5GsJI4xqp27IpsPJF8Dy181ykAEm1/huKK6lsVb8xjdp51zh/aFEG5naNc2DO3q5FpPNm+4Y4WxbON0fnoe9q+Ea6ab0mXbEBdYZ+sCZI2VaBx7LRzaZHyc9puGh5ZdSf+bYOSjYPN1SPOfrsnmtx+slkXsQogzWr23gP0Fx5zbaU2V8c/mAwHhZ37clq+g5JAp3VZU1/LHT9bx5brWXZJGEitxdnY7fHEXvH6BcWSNO2jTDYbdfeYXlRYYnxxDgI+ND1e6yfdDCOF0Wmse+nQ9983Mcm7H6z6C//SDopwzPy7xYkAbNa1M4OftxeJth/l2ozmJmruSxEqcmdbw9e8hazqccy+Ex1sdUePVVMLamXBwvelNh/j7MD45hi/W5lIildiFEA3YcrCE7YdLmZAS47xOtTZKLAS3hdCz9NuuD4TFwxZzyi4opUhPiGLl7oJWXetPEitxelrD/D9Bxltwzn0w4o9WR9Q0tdXw1f2w/L8OaX7KoHiOVdVKJXYhRIPmZOVi81KM7dfBeZ3uWAh5W2DInUbR5DNRyhi12rUIqsyZrkxPiORgcQX7C8pNac8dSWIlTm/jZ7D8FRg8zViv5G6LtP2Coe/lsPFzo5ipyeorsa/aI3VbhBAns9s1c9fmMrx7G6KcuVPu55cgpAP0uaxxj+9zmbHZp6rUlO4HJRi7DVfszjelPXckuwLF6fWeCJfVGCegu1tSVS/1eljzHmz4DAbcaGrTSilm3DaIsACpaSWEONmOvFIOFVfwwOgezus0b6sx+jTyUfBu5MadTkNMPYqsW3QwyXFhjjhVzG0oV5gHTUtL0xkZGVaHIeqtfge6jYIwJxezcwSt4eVB4B8Kty5wWDfVtXZ8bDIALIT4RUFZFYG+Nvx9bM7pUGvjbMAOyU2rU6U1HFgL7ZOMkjrirJRSq7XWaQ3dJ99BcbLl/4W59xhTgJ5AKeh/vVEt3gHTgQCfrs5myJMLZRG7EOIkkUG+zkuqwHi963p+04t/bpoNr42AnNWmhaK1brUHMktiJX6R8TbM+6NxWOeFf7M6GvMM+h38din4Oabqcde2wRwprWK2LGIXQgCLtx5m0v9+JqfQiQu4l/4H5v+ZZs3BdTkPvLxNO5R5X/4x0h5fwNcbDprSnrtpUWKllLpHKbVBKbVRKXVv3bVIpdR3SqntdbcRpkQqHCvrQ/jyPuh+EVz5tlFYzlPYvI13cpWlxk5BkyXHhdGrQygzVuxr1VuMhRCGOVm5bD1Y4rzjXaqOGVXUj+5p3nrYgAjoNBS2fmNKODHh/lRU17KqlR7I3OzESinVF7gNSAeSgUuVUt2Ah4CFWuvuwMK6z4Urq62BFa9Cwrkw6f3GL3p0J4c2wr96mPaO7ERKKaYMimfzgWKpxC5EK1deVcv8jQcZ2689vt5OmhRa9xGUF8CQO5rfRuJYyNsMBbtaHI63zYsBnSNZKYlVk/UCVmitj2mta4AfgMuBCcC7dY95F5jYogiF49m84frZMPlD8PHQs56ie4J/GKx53yHNT0gxKrHPWCGV2IVozRZsPsSxqlrGJztp84/dDj+/AjGpEN+C3X096g6sN2nUKr1zBFsPlXC0rMqU9txJSxKrDcBwpVSUUioQGAt0BNpprQ/UPeYg0K6hJyulpiqlMpRSGXl5eS0IQzTb9u9g5vVQXWEsdvQNsjoix/GyGYdG71x49mMemiHU34enrujHzed0Nr1tIYT7mJOVS/tQf9ITmriAvLm2fwv52xtXEPRMIhOMN9gDbjYlrPSEKAAy9h41pT130uzESmu9GXga+BaYB2QBtac8RgMNLjrRWr+mtU7TWqdFR0c3NwzRXLt+gJnXGXPyNRVWR+McqdeBtkPWDIc0PyEllp7tQx3SthDCPZyXGM2087ti83JS7b/IBEifCr0ntLytrueDb2DL28EooHzrOQl0jAwwpT13YlodK6XUE0A2cA9wntb6gFKqA7BYa514pudKHSsn2/szfHA5RHSGG7+EoCirI3Kedy41DpK+Z61Dip6uyy7kmw0H+cPoRJS7FlUVQrRO1eXw0wsQOwC6X2h1NC7NYXWslFJt627jMdZXzQC+AOpLXN8IzGlJH8Jk2ath+lUQGgs3zGldSRXAqL/DNdMdVkl+bXYRry7eKYvYhWiFFm4+RFG5E+vZZbwNB9aZ157ND1a9AVkfmNJcVY2d1XuPUl5Ve/YHe5CWbln4VCm1CZgL3KG1LgSeAkYppbYDF9Z9LlyFlxe06Q43fmGcft7axA6A9v0c1nz9IvYPV8oidiFakwNF5dz6Xgbv/LTHOR0W58LXD5i7tMHLCxLHwPYFUNPyRecrdudzxavLWt15qi1KrLTWw7XWvbXWyVrrhXXX8rXWI7XW3bXWF2qtW9d31FUdq/sxxKTCbd9DaIy18Vgpbxt8/jsoLzS96VB/H8Ynx/DF2lypxC5EK/Ll2gNoDeNTnPTauvJ1Y83ooNvNbTdxLFSVwN6lLW6qf3wENi/V6souSOX11uDIDuO8vJ9fNj5v7Wt/qstg7QxY/7FDmp88KJ5jVbXMkUrsQrQac9bmkBwXRkIbJ+yuriqDjLeMUzIiE8xtO2EEeAeYUnYhyM+bvjGhklgJD1OwG94dB2jjYGUBHVKgXT/IdExNq+S4MIZ3b4NdqrAL0SrsOFzKhpxixqc4qXZV1gyoKDRKLJjNNxASL4Zac+pPpSdEkrW/kIrq1rPOShIrT1a4H94bDzXlxkL16B5WR+Qa6g9mPrDW3IWfx5tXvH/LIG4Y0tn0toUQrmfZziN4KRiX1ME5HdZUQJfzoWO6Y9q/8i0Y97wpTaUnRFFVa29VG3pMK7fQElJuwQFqKuHVoVCaBzfOMdZWiV8cK4B/94QBN8HYfzqkC7tdsyOvlB7tHHP4sxDCdeQWlhMT7sSaTVo7fllHdUWLT+MoqahmY24xKR3D8fexmRSY9RxWbkG4MG8/OPdBuO4TSaoaEhhpJFVBbRzWxZPfbGbiyz/JInYhWgGnJVXZGc5JqubcCW+PaXEzIf4+DO4S5VFJ1dlIYuVpjhXAnp+Mj5OvcdxQsScY+08Y8QeHNX9JUowsYhfCwz0zfwv3z8zCKbM/OWvgjZGQaU6dqTOK7AK5maYcAbb1YAn/mr+Vmlq7CYG5PkmsPMG6WfBcX/hbGPy7B0y/wiGlBDyS3Q45qx3SdHJcGL06hDJjxT7nvOgKIZyq1q6ZlZFNaWWNc05aWP4K+IaYc3zN2SSONW63zWtxU9sOlfDSoh1sOlDc4rbcgSRW7m7dLJh7NxTtNz6vrQZ7rXEwpzi75S/D6xcYZyaaTCnFlEHxbDpQ3KoWbgrRWizflU9eSSUTnLEbsCgbNnwGA24EfyecSRqdCBEJppRdqD+QurWUXZDEyh3V1kDBLuPjhY8Z5zuddH+VcV2cXe+JgHLgwcxGJfYv1sp0oBCe5ousXIJ8bYzs5YRTLFb8D9DmFwQ9HaWMUavdP0BlaYuaahfqT+eoQFa0ksTK2+oARCMc2gjbv4PDm4x/eduM5OlPOca7mIac7ro4WXhH6HoBZE6HEX8EL3MXWIb6+/Dp74bSo12wqe0KIaxVWVPL1xsOMLpve8cvzLbbYdt8YwowPN6xfZ0oZbJxBJoJ05zpCZF8u+kQdrvGy8uzi1RLYuUqyo4YSdOhuuTp8Ga4/DWjqu6epbDgUePg5La9oMt50La38bywuF+mAU8UFufU8N1a/+vh45tg1yLoZv6J7r1jnDBsL4RwqsoaO9cP7sSIHtGO78zLC367FCqcvKSgfT/TzlZNT4jimw0HyS0qJy4i0JQ2XZUkVs5WUQx5W4zkqfNwiOoKW76Gjyb/8piASGjXxzi2AIzdfUlXQ0D4r9sb+YixxurE6UCfAOO6aJzEscb3fNMchyRWANNX7GXBpkO8ddNA5yxyFUI4VKi/D38Y09PxHdlrjTMBvX0h2AlJ3KlK82DbN5BybYtG9Mcnx3BZaiw2Dx+tAkmsHKe6AmorwT/M2K765X3GKFTRvl8eM/ZfRmIVkwqjnzRGo9r2huC2Jw+9+oedvp+kScbtwseM6b+wOCOpqr8uzs7bD34zDyK7OqwLu12zaGse63OKSIoLd1g/QgjHK62sYdXuAs7p3gYfm4OXKm/5CuY9DDd+Yfy9cLa9S+GLuyCqG3Qa2uxmfL1bz5JuSazMYK+FLV8aiVP9NF7+Thh2D1z4qLGDoygb4gdB25uM5KltLwirmysP7QBDpjW//6RJkki1VHSiQ5ufkBrLE19v4cOV+ySxEsLNzd9wkN9/vJZPfzeUAZ0iHNvZzy+BzRsiOju2n9PpOhK8fGDr1y1KrABmZezn8zU5zLhtkEeP3Eti1VhaG8nRiclTRGc4/2FQXjDnLqgsNtZEte1t7DbreoHxXL8QmLbMyuhFY6x+x5gOvO4z06sah/r7MC65A3OycvnT2F6E+PuY2r4QwnnmrM0lLiKA/vHhju1o/yrYvwIu/qfpG2sazT8UEoYbZRcuerxFTVXV2Pl5Vz77Co7RKSrIpABdjyRWDalfSF5RBL3GGdfeGHlyIcnQ2F/WPCkFty4wpuF8PXtRnkfTGnZ+b1Q3jhtgevNTBnViVkY2X6zN5dpBnUxvXwjheEdKK/lpxxF+O6KL40ddlr8MfmHG+iYrJY6Frx+AI9uNXYLNNKiuntWK3QWSWLm9dbMaXoNUdeyXRGjVm7BptjESVZZnXAtq+0tiNeAm4z93297QticEnDL8G93DWV+NcJS+V8D8P0Hmew5JrJLjwph6bhd6d5BdgkK4q6/XH6DWrh1fFLRwvzGCPvQu8LO4XEuPMUZitW95ixKrbm2DiQzyZeXuAialdTQxQNfi+YlVfWXy+l1zRfvh89th3kPGiNSfco3Fy8W5RhG0HqN/WQNVX9IAoP8N1sQvnMc/1JjCXf8pjH4CfM19R6WU4k9je5naphDCuX7cfoSe7UPo0S7EsR2FxsKUWcYOcauFd4QHthsbq1pAKcXAzhEeX4Hd8xOrhiqTa7tx7byHjUKb3n4w8q/GP9G69b8e1s4w3immTHFIFzsOl7LlYDGXJsU4pH0hhOP877oBHC6pdHxHXl7QfZTj+2msFiZV9Ub1bk+Aj43Kmlr8vC1aN+Zgnr//8XQVyKvL4dwHjIXlQtSLHwLpt0Mbx03tvrZkJ3/4ZB0lFdUO60MI4RheXor2Yf6O7WT1O/Ddo8aOc1dRXggzroH1n7SomSsHxPGfa1I9NqmC1pBYna4CuVQmFw1RCsb+E+LSHNbF5PR4jlXVyvmBQrgRrTXXvbGC937e49iOamtgyb8hO8O6nYAN8Q+DA2th4+ctbkprTdExz31j6fmJ1chHjErkJ5LK5OJs8rbCtm8d0nRKx3B6tg9hxop9aK0d0ocQwlxbDpawdMcRx+8E3PyFUUh6yB2O7aeplILEi42d09UVLWrq3plZXPU/zy1B5PmJVdIkGPcChHUElHE77gUpqCnO7LtH4Ys7jXePJlNKce2geDbmFrM+x8lnfwkhmmVOVi7eXopL+nVwXCdaGwVBI7sYO/FcTeJYqD4Gu5e0qJke7ULYdqiUgrIqkwJzLZ6fWIGRRN23Af5WaNxKUiXOpv/1UHoItjtm1GpCaiwRgT5sPVjikPaFEOax2zVz1+YyvHsbIoN8HdfR/hVGvcTB04zF664mYTj4BhtV2Fugvp7Vqj2euTvQBX9yQriA7hcZdcwy33dI86H+Piz/00iu8uBaLkJ4ijX7jpJTWO742lUBEZByncN2JLeYtx+k32aUI2qBfnFh+Hl7eWzZBc8vtyBEc9h8IGUyLHsJSg5CSHvTu6jfFVNcUU2oHHEjhMsKDfDh6rSOjOrdzrEdRSfCxJcd20dLXfi3Fjfh520jNT7cYxMrGbES4nRSrwebL+RmOqyL+2dmMeX15Q5rXwjRcj3ahfD0lUkE+TlwLGL9J3Bok+PaN1N1ORzZ0aImpp7bhd+d19WkgFyLJFZCnE6b7vDgDmMnjIOkxIezIaeYddmFDutDCNF82w+VsCGnyLE7eMsL4Yu7YdkLjuvDTB9eAx/f1KImLujZjrGO3AhgIUmshDiT+jO6ahxTaXliaiz+Pl58uHKfQ9oXQrTMy4t2MOX15VTXOjCxWvMuVJcZi9bdQbcL4dB6OLq3Rc1szC0iwwMXsEtiJcSZaA3vjoMv73NI86H+PoxLimFOVq5UYhfCxZRX1fLtpkNcktQBX28H/bmsrYYV/4OEc6FDkmP6MFviWON227wWNfPnzzfw9LwtJgTkWiSxEuJMlIKIBKPacEWxQ7qYMsioxD786UUkPPQVw576ntmZOQ7pSwjReAs2H+JYVS3jkx24G3DjbCjOgSF3Oq4Ps0V1NY79MqHswtr9RVRUu9DRPSaQxEqIs+l/g1EUb+NnDml+z5EyfGyKwvJqNJBTWM7Dn62X5EoIi83JyqV9qD/pdXWXHKLsMHRIgW4udOByYyReDHuWGuvDmik9IZKqWjtZ+5vfhiuSxEqIs4kdANG9YI1jalr969ttv1q/UV5dyzPztzqkPyHE2VVU17JqTwHjkjtg83LgMTZD7oDbFrlmQdAzSfsN3LrAOEOwuU10ikQpPK7sgpv9JIWwgFJGJfacDDi82fTmcwvLm3RdCOF4/j42fn74Aqad181xnRzaZKzjdLekCiCiM8SkGq+PzRQW6EPP9qEeV4HdDX+aQlgg6RoY/2LdmZPmigkPaNJ1IYRzBPp6E+GoI2zyd8KrQ2Hla45p3xkOrIOvHzQW4DfTS1NSefW6ASYGZT1JrIRojKAoY61VffkFEz04OpEAH9tJ1/y8vXhwdKLpfQnRXLMzcxj21PetYoPFwaIKxj7/o2NLASx/1TjhofdEx/XhaIX7jMRw38/NbqJrdDDBjiy8agFJrIRorJpKWP5f2LnI1GYnpsby5OX9iK0bofJSEBnky8X9zD9GR4jmmJ2Zw8OfrSensLxVbLD4cl0umw4UExXs55gOjhVA1nToNwlCHHxMjiN1PR9sfrD1m2Y3YbdrnvtuG1+tO2BiYNbyrDRRCEfy8oZlL0LbnsYLiokmpsYyMdXY0r1oy2FufmcV8zYcdPyhr0I0wjPzt1J+ypb48upaHpu7CR+bF1HBvrQJ9iUqyI+wAB+8HLnY2wnmZOWSHBdGQpsgx3Sw+m1jp/EQNykIejq+QdDlPNjyFYx+olnrrby8FHPX5tIlOohLkjyjErskVkI0lpfNOHV+yTNQlA1hcQ7p5vyebfnizmEkxYU7pH0hmup0GykKjlVxx4w1J10b2bMtb940EIC7P8zES0FUsJ+RfAX50bNDyPH/2+VVtQT42k5t1lI780pZn1PEXy/t7ZgOtDbq4nU5H9r1cUwfzpR4MWyfb2zsade879nAzpF8s+EAdrt2+6QcWphYKaXuA24FNLAeuBnoAHwERAGrgeu11lUtjFMI15B6LSz5J2TNgBF/cFg39X94dhwuISY8gEBfeQ8krNMhzJ/coopfXW8f6s+7v0knv7SSI2VV5JdW0iHM//j9h4orOFBUQX5pJWVVxojXlEHxJMWFU2vX9Hl0Hv4+NqLqRrvaBPsyLjmGCSmxVNfa+Xr9AaKCjKQsKtiXyEBfvG2OXcHyRVYuSsE4R42eKAW3LIBjRxzTvrP1GAMhHYw3m81MrNITIpmZsZ+th0ro1SHU5ACdr9mv1kqpWOBuoLfWulwpNQu4BhgLPKe1/kgp9V/gFuBVU6IVwmoRnY2jJzLfh+EPOHSb9OHiCi59cSlXp3Xk7xP6OqwfIc7mgp5t+WDFyedZBvjYeOjiniS2DwFCGnzezNuHHP+4vKqW/LJKvOt+Z2rsdh4c3ZP80kryy6o4UlpJbmEF+aXG+/CCsiru+SjrpPaUgj+P7cWtw7twuLiCv3+5iTZBvsdHxKKC/EjpGE77MP/jhyarRk5Pzc7M4Zn5W8kpLCfYz5tlO/OPT8+bRmvQdvDxd9iIt9OFdoD7N7eo7EJ9AdaVuwtad2J1wvMDlFLVQCBwALgAmFJ3/7vA35DESniS/jdCxttwLB+Cox3WTdtQfyanx/P2T3u4qE97hnVr47C+hDiTbYdK6RDmjwIOFFUQEx7Ag6MTm5R4BPjaiPMNPP65n7eN353X9bSPjwzyZcH9I44nXvmllRwprSI1PhyA4opqNucWc6S0kuKKmuPPe+7qZC5LjWP13qNMeWPFrxKvW85JoHdMKIdLKtiUW0ybYD8y9hTw1DdbqKixA1BaWcPDn60HMDe52vMjzLkTpsyEtr3Ma9dqShlJo73G2OnYRHERAXRrG0xxuWecl6rqs/pmPVmpe4B/AOXAt8A9wHKtdbe6+zsC32itz/h2Oy0tTWdkZDQ7DiGcSusWvTtriorqWsa+8CMVVbXMu+9cQv2b/qIlREsdq6rhQFEFXaPNLzdihqoaOwV1o14x4QFEBvmy+0gZH63ax5GSKvLLKskvNZKz565OYVCXKL5cl8udMzLP2G5seAA/PXSBeYFOnwQ5q+G+jcaolacoOQSvjYDzHoYBNzarCa11o0cXXYFSarXWOq2h+1oyFRgBTAASgELgY2BME54/FZgKEB8f39wwhHC++l/+0jzjxdGv4WkQM/j72Pj3Vclc8eoyHpu7iX9dleywvoQ4Va1do7Um0NfbZZMqAF9vL9qH+dP+hPVdCW2CePji048KDe8Wzae/G8KR0ipuf391g48x9fSDvG3GIu/zHvaspAoguK0xUrX1m2YnVu6UVJ1NSxaIXAjs1lrnaa2rgc+AYUC4Uqo+YYsDGix0orV+TWudprVOi4523HSKEA5xdC882xOyPnR4V6nxEdx5fjciAn2w25s/wixEU32emcOo55ZwsIGF6+4uLNCHAZ0iGd2n/fEacqcy9fSD5a8YNZ/SbjGvTVehFCSOhV2LoKqsWU0UlFVxyQs/Mitjv8nBOV9LEqt9wGClVKAyUs2RwCZgEXBl3WNuBOa0LEQhXFBEJ2jbGzLfc0p3943qwZ8v6e0RW5GFe6iptfPi99sJ9LXRLtRBhTJdREOnHwT42Mw7/aAsH9Z+CMlXO3RdpqUSL4aaCti1uFlPjwj04WBRBct35ZsblwWanVhprVcAnwBrMEoteAGvAX8E7ldK7cAoufCmCXEK4Xr63wAH10NulsO7qh8mX7Ern//7chMtWRspRGN8lpnD3vxj3HthD4+apmnIiacfKIy1VU9e3s+8hesB4XDlWzDsXnPac0WdhoFfGGz9ullPV0oxsHMkK3e7/4HMLdoVqLV+FHj0lMu7gPSWtCuEW+h3Jcz/s1F6ISbFKV2u3neUN5fuJikuTKqyC4eprhut6hcbxoW92lodjlOcePqB6bxs0PMSx7TtKmw+cNFjEN6p2U2kJ0Qyb+NBcgvL3foQejkrUIjmCoiA3uNhw6ctOt29KW4/tyup8eH8dfYGDhV73roX4Rq+2XCQ/QXl3Hthd48frXK4DZ/Bwv8zzhr1dANuatFxX/X1rFY58vBrJ5DESoiWOO9hmPpDs2q3NIfNS/HspBSqau384ZN1MiUoHOKSfh1488Y0LujZOkarHEZr4wisrd+AzdfqaJzjwLpmH1Tfq0Mol6XGEh3i3mv6JLESoiWiuhoL2Z2ofhv5D9vymL/xkFP7Fp5Pa43NSzGyVzsZrWqpXYvg8CYYcofTat9Z7tu/wLyHmvVUm5fiuatTGNrVvYshS2IlREvlbYUZV0PBbqd1ef3gTrw0JZWLerdzWp/C81XV2Ln0xaV8npltdSieYdlLENzOWI/ZWiSOhbwtkL+z2U3kFpZzrKrm7A90UZJYCdFSvsGwbT5kTXdal15eikuTYvDyUhwprZT6VsIUH6/ez8bcYiICW8m0lSMd2gQ7F0L6beDt3lNbTZJYVyd827xmPX3t/kKGPvU9S7blmRiUc0liJURLhcVCt5GQNQPstU7ten/BMS589gfe+sl5o2XCM1XW1PLy9ztIjQ9nRA8PrbXkTF7e0OdyGPAbqyNxrojO0LYPbGle2YVeHULx9/FihRuXXZDESggzpF4PxTmw83undhsXEUBap0j+OX8rOw6XOLVv4VlmZWSTW1TBfa2gbpVTRPeAq96GoCirI3G+xIvhQFazqrD7enuR2jHCretZSWIlhBkSx0JgFKxxTiX2ekopnri8L0G+Nu6ftZaaWrtT+xeeobrWziuLdjCgUwTDu7v3wmGXsG0+HNludRTWGXonPLAdfIOa9fT0hEg2HyimuMI5ZWzMJomVEGbw9jWqKsc1eNi5Q7UN8ecfl/VjXXYRry5u/oJR0Xr52Lx4YXIqj1zaW0arWqq6HGZPM3bHtVYBEeAb2OynD0qIxK5h9d6jJgblPC2qvC6EOMGwuy3remy/DoxPjmF3fhlaa/njKJpsYOdIq0PwDOtmwbEjRomF1mzbfFj6H7hhdpMX76fGR/Dc1ckkxYY5JDRHk8RKCDPVVBrrrHqMcXrdmn9dlYyvtwxCi6b5YPlethws5pFL+8j/n5ay2+Hnl6F9EnQebnU01tu3DPYsNTb3NEGAr43LUuMcFJTjyW+REGZaNxM+vAayM5zedf0fxe2HSnh/+V6n9y/cT0V1Lc8v3M72Q6X42GSUs8V2LoQjW2HIna2nIOjpJJwLPoFG1flmOFhUwfvL91Je5dyd1maQxEoIM/WeaLyYZDp3EfuJ3lm2h0fmbCDDzc/bEo43fcU+8koquW+U7AQ0RcEuiOwCfS6zOhLr+QRA1wuMxKoZR29tOlDEX2dvIGt/ofmxOZgkVkKYyT/UeFHd8BlUlloSwsNjexEbHsDvP17r1tWLhWOVV9Xy6uKdDOkSxeAurbAkgCMMuh3uWGVsZhFG2YXibDi4vslPHdApEqVwy7ILklgJYbbU66GqFDbNtqT7YD9v/nVVMvsKjvHk11ssiUG4vukr9nKk1BitEiaoP9LKJkuXj+s+2lhvqps+nRcW4EOv9qGs3JPvgMAcSxIrIcwWPxiiusPuJZaFMLhLFL8ZlsD7y/fy8073e2ESjjeqdzseurgn6QmyG7DFSg7CSwONXXDiF8HRMGUmxKQ26+npCZGs2VtItZvV55PUWgizKQU3fQXBbS0N48HRiUQF+5IaH25pHMI1dYoK4rcjulodhmdY+TrYa6DXOKsjcU3FB4w1VwHhTXpaekIk7/68h+2HSukdE+qY2BxARqyEcISQdkaCZbfunZa/j41p53XD38dGZY377awRjnGsqoZ7P8pk2yE5AskUVccg403oeQlESaL6K0f3wLM9YcMnTX7q+YltyfrrRW6VVIEkVkI4zup34OWBUGvtsQx788u48Nkf+HbjQUvjEK7hvZ/3Mjsrl5IK2dhgirUfQvlRKQh6OuGdILJrs8ouBPjaCAv0cUBQjiWJlRCOEtwO8ncYFYgt1CEsgFB/H/70+XrySystjUVYq6yyhteW7OLcHtEM6BRhdTieYe1Hxhqi+CFWR+KalDJ2B+5eApVNHyVdtPUwU9/LoNbe9JINVpHESghH6TYKgttD5vuWhuHr7cW/JyVTXF7DX2ZvQDejpozwDO/+vIeCsiruu7C71aF4jhvmwBVvSkHQM0m8GGqrjFMpmuhoWRXfbjrE1oPuM3UtiZUQjmLzhpTJsP1bY/GmhXq2D+W+UT34ZsNB5mTlWhqLsEZp3WjVeYnRpMbLaJUptDYOG5a1VWfWcTD4hzdrOrB+1+rK3e6zu1kSKyEcKfV60HZYO8PqSJh6bhcGdIrgq/XWJnnCOtcP7sR9F0rdKlMcWAsvpcGBdVZH4vps3jDpXRj5SJOfGhcRSGx4ACvd6CQJKbcghCNFdYVR/wddz7c6EmxeijduSCMswP0Wg4qWC/bz5vcXJVodhuf4+WWjflV4vNWRuIcu5zX7qekJkfy4/Qhaa7c4eklGrIRwtGF3Q/t+VkcBQESQL15eisPFFSzeetjqcISTfJyxX3aFmqk4FzZ8aoxIN7E2U6uWNQMypzf5aed0a0PX6CCK3WQnqyRWQjhD9mpYY+0i9hP9fe4mpk1fw778Y1aHIhysuKKa//tyE7My9lsdiudY+ZoxxT/odqsjcS/rP4Ef/93kQ5mvGBDHzNuHuM1ouyRWQjhD5nvw9YNQUWR1JAD8+ZJe2JTigY/XutU2ZtF0by/dQ3FFDffK2ipzVJZCxlvQ81KITLA6GveSeDEU7IQj25v19Bo3OdpGEishnCH1BqgpN6YPXEBMeACPju/Dyj0FvLV0t9XhCAcpKq/mjaW7GNW7HX1jw6wOxzN4+8O4F+DcB62OxP0kXmzcbv26yU99et4WLnz2B5MDcgxJrIRwhtj+0LaPS00HXtE/llG92/HMt1vZLsebeKQ3l+6mpKKGe6VulXls3tBnInRIsjoS9xMWB+2TmlV2oW2IH3vyj5F91PWXL0hiJYQzKAX9r4fcNXBoo9XRAKCU4snL+3FF/1jaBPtZHY5wgIQ2gdw0tDN9YmS0yhQ7FsDip43zAUXzJI41ioXWVDXpafX1rFa5QdkFSayEcJakq41K7Pk7rY7kuDbBfjx5eRIRQb5Skd0DXZYax9/G97E6DM+x5N+Q+QHYfK2OxH2N+CNMXQTeTfse9mwfSoi/Nyt3S2IlhKgXGAn3b4Le462O5Ff2FxzjileXsT7bNRbXi5YpPFbFez/voaK61upQPEfOati3DAb/1pgOFM3jVZd21DatdILNSzGwc6QkVkKIU3jZjK3Gx1zrxSHU34ecwnLun5Ulf4w9wOs/7uLRLzayV8ppmOfnl8Ev1KhdJVpm1Zvw7x5QXdGkp01K68jk9HiXH12XxEoIZ3tvPHx6i9VRnCQs0Ienr0hi++FSnv1um9XhiBYoKKvinZ/2MLZfBxLbh1gdjmco3A8bZ0P/G8A/1Opo3F9EJziWD7uXNOlpY/q259bhXVy++rokVkI4W/wQ2LkICvdZHclJzktsy5RB8bz+4y63WCAqGvb6j7s4Vl3LvSNlJ6Bpaiqgx2gpCGqWzsPBN7hZZRfySirZlFvsgKDMI4mVEM6Wcq1xm2X9wcyn+vPYXsRFBPDqYtdZYC8aL7+0kneX7eHSpBi6t5PRKtO06Q6TP5RzAc3i7QfdRsK2eWBvWtHPez7K5IGP1zooMHNIYiWEs0V0gi4jjDOzmvii4mhBft68e3M6r1zb3+pQRDMcPVZFz/Yh3DOym9WheI7dP0LBLquj8DyJY6HkABzIatLT0hMi2XywmKLyasfEZQJJrISwQur1ULQPdrteJeEu0cH4+9goq6xhy0HXHnIXJ+vWNoTPpg2jW1sZrTKFvRbmTIPZd1gdiefpfhGMeAiC2zbpaekJkWgNq/e67nIFSayEsELPS+HqD6DTMKsjOa27PszkprdWUXTMdd8Zil8s2nKYgrKmFV0UZ7F5rrEWcsg0qyPxPIGRcP7DRjX2JkjtGIGPTbFy91EHBdZyklgJYQUff+g1rslF8pzp3gu7k1dayd/nukaleHF6eSWV/G76ap76ZrPVoXiWn1+GiM7GtJUwX3UFbJsPJQcb/ZQAXxtJceGs3J3vwMBaptmJlVIqUSmVdcK/YqXUvUqpSKXUd0qp7XW3EWYGLITHqK2BxU/B2plWR9KgpLhw7ji/G59l5jBvQ+Nf+ITz/e+HnVTV2PntiK5Wh+I59q+E7JUweJpRf06YrzgHZkyCTXOa9LRHx/Xm2UkpjonJBM1OrLTWW7XWKVrrFGAAcAz4HHgIWKi17g4srPtcCHEqm7dxGOmyF42ioS7orgu60ScmlD9/vp4jpZVWhyMacLikgg9W7GViaixdooOtDsdzHFwPQW1/2cUrzBfVFdokNrnsQlJcOJ3bBDkoqJYzaypwJLBTa70XmAC8W3f9XWCiSX0I4Xn6Xw+H1jd5Z4yz+Ni8eHZSCr1jQqmqca0djMLw38W7qK7V3H2B1K0y1cBb4N714CfJqkMlXgx7lkJF047TmpWxn/kbXXMk3azE6hrgw7qP22mtD9R9fBBo19ATlFJTlVIZSqmMvLw8k8IQws30vRK8/WHN+1ZHclqJ7UN4/5ZBxIQHWB2KOIXWmqPHqriif6xLv4N3O8V1f8J8/K2NozVIHAv2GtixoElPe3fZHt5dtscxMbVQixMrpZQvMB74+NT7tHGgT4NzHFrr17TWaVrrtOjo6JaGIYR7CgiH3hNg/SdQXW51NGd0uKSCez7K5ECRa8fZmiileO7qFJ68PMnqUDxHRRG8NBAWP211JK1DXBoEtjHqhTVBekIka/YddcmRdDNGrC4G1mitD9V9fkgp1QGg7vawCX0I4bn63whRXeCFVPhbODzXF9bNsjqqXymvquXbjYf4wyfrXP4Q1NbgcEkFOw6XAGDzcu2z09zCulnG795T8VBVAko2zTuFlw2mLoJLnm3S0wYlRFJRbWd9TtOmEJ3BjP85k/llGhDgC+DGuo9vBJq23F+I1qY4B/K2GFWI0VC0H+be7XLJVaeoIP50SS9+3H6E6Stc65zD1uil73cw9oWlHJXaVS23bpbxO1e0/5drS//tcr+DHis8Hryalo4M7BwJwMrdrlcotEWJlVIqCBgFfHbC5aeAUUqp7cCFdZ8LIU5n4WO/ngasLjeuu5jrBsUzvHsbnvh6M3vzy6wOp9XKLSzno5X7uaJ/LBFBrlsLzW240e+gx5r3MPzwTKMfHhXsR7e2wewrOObAoJqnRYmV1rpMax2ltS464Vq+1nqk1rq71vpCrbXrpZNCuJKi7KZdt5BSin9emYTNS/Hk11usDqfVemXxDjSaO86XMwFN4Ua/gx6rYBdkvt+k0jNf3nUOT17ez4FBNY9MIgthtdMd6dDEox6cpUNYAK/fkOaSL2itQU5hOTNX7eeqtI7ERQRaHY57y98Jn/8OQto3fL+L/g56pMSLoXAvHG786QH+Pq5ZuFUSKyGsNvIR8DmllIG3v3HdRQ3uEkVEkC81tXYOF1dYHU6rkrWvEH9vm4xWtUThfvjiLmP338bPoc9lv/4d9Alw6d9Bj9NjjHHbhGKhFdW13PruKmaucq01n95WByBEq5c0ybhd+Fjd4lkFUd2g31WWhtUYU99fzeGSCj6fNgwfm7xPc4ZLkjpwXmI0QX7y8t1kWsP8P8GqN4zP02+Dc+6HkHYQk1r3O5htjFSNfOSX303heCHtIXaAcRrFuQ806in+Pja2HCzBx+bF1QPjHRxg48lvphCuIGnSLy/iq96E4lyw1xrH3riwSWlx/PaDNbz0/Q7uG9XD6nA83s68Urq0CZKkqqmqysA3CJSCymJIngznPgjhHX95zIm/g8IayZPh0Eaw2xu9SzA9IZIftuahtUYp1yg7Im8xhXA1A2+BkX91+aQKYEzfDlyWGstLi3awLrvQ6nA82v6CY4x+bglvLt1tdSjuo6IIFj0J/+4FB9Ya18a/BONfODmpEq4h/TYY958mlV4YlBBJflkVO/NcZ5eyJFZCuKpdi+GTW4x3by7sb+P7EB3sx/2z1lJRXWt1OB7rpe934OWluDQpxupQXF9VGSx9Dp5Phh+egi4jwLfuzD8XGdUQp6G1sUOwkdITogDXqmcliZUQrqooBzZ8AstfsTqSMwoL8OGfVxpHqhwurrQ4Gs+0N7+MT9ZkMyU9nvZhcn7dGdlr4b/nwIK/QdxAmLoYrn4forpaHZlojO8fh1eGGMlxI3SOCuSCnm0J8XedEX5JrIRwVSlTjANKFz4Gh127ZtS5PaKZd89w4qNk+78jvPj9Dry9FL87T5KDBtVWG7v7tDaOSDn3QfjNfLj2Y2NRunAfCedCTYUxYt8ISineumkg45JdZyRXEishXJVScOl/jEW3s39r/PFwYd42L8oqa/jX/K2UVdZYHY7HKK+q5cfteVw7qBPtQmW06iT2Wlg70yib8PFNsKfuIN+UKRA/2NLQRDN1Ggp+YU0quwBG6QVXWYogiZUQriykHVz6HORmwvpPrI7mrLYcLOblxTt44uvGF/kTZxbga2PRA+dxz4XdrQ7FddjtsGkOvDoUPp8KfsEwZRZ0Hm51ZKKlbD7QfRRsnWckzo2wN7+MpL99y9frDzg4uMaRxEoIV9dnIlz3GSRfY3UkZzWgUyS3De/C9BX7+GFbntXhuL2i8mpqau0E+noTFuBjdTiuo7bKOFtO2+Gqd2DqEugxWhame4rEi+HYEchZ3aiHd4wIxN/Hy2UWsEtiJYQ76DbS+KNRlAPVrl3p/P5RPejeNpg/fLKWomOuPX3p6v7+xUbGvfQTtfbGn5/msXb9ALNugJpK8PGHG+fCtOVG1fQmbM8XbqD7KJj8EbRv3LFZXl6K9IRISayEEE1UetjYLbP4CasjOSN/HxvPTkohv7RKpgRbYGdeKbOzcjinWxQ2r1Y8ErN/Jbw7Dt4bD9kZv2zFj+pqLFQXnsc/zBi1OvWYoTNIT4hk15EyDpdY/8ZTEish3EVwW+h7Gfz0AuxbbnU0Z9QvLox/Xpkk59m1wIsLt+PnbeP2Ea10J2BFEUyfBG+OMg7mHfMU3LUG2vayOjLhDCWHYPFTcHRPox4+sHMkAKt2H3VgUI0jiZUQ7uSixyE8Hj7/LVSWWh3NGV3eP474qEC01pRXucZuHXex43AJc9bmcsPQTrQJ9rM6HOcqLzRu/ULBXgMjH4V71sLg3xlTgKJ1qCmHxU/C5i8b9fC+sWH8YUwifWJCHRzY2UliJYQ78QuBia8a7+IWPGp1NGeltebOGZnc81EmWss6ocaauWo/AT42bj+3FY1WFeyGz26H55OgLN9YU3jdpzD8fqPkiGhdIjpD2z7GocyN4GPzYtp53ejcxvr/K65TqlQI0Tidh8GQO6D8aJMOK7WCUoqUjuH84+vN9P+/7yg8Vk1MeAAPjk5kYmqs1eG5rIcu7sUVA+KIDPK1OhTHK8qBJf+EzA/Ay8c4L65+7ZTs8mvdEi82jiY6VgCBkWd9+Ecr9/HP+VspKKsi1sLXGUmshHBHo/7PpROqE0UF+eKl4GjdDsGcwnIe/mw9gCRXDaiorsXfx0bP9tZPaThc8QF4sb9RryjtNzD89xDS3uqohKvoORZ+/Bds/w6Srz7jQ2dn5vDInI1U1Rpnq1r5OuMer8xCiJPVJ1UHN8Dip62N5Sz+/d02Tq0WUF5dyzPzt1oTkAvbcrCYIU8uZPmufKtDcZxjBcbxMwChHYx1g3evgbHPSFIlTtYhFSISoCT3rA99Zv7W40lVPateZ2TESgh3tvkL+OFpaNcHel1qdTQNyi0sb9L11uyFhduprtX0bB9idSjmqyg2DhT/+WWoPgbxQ42TBdJvszoy4aq8vOCu1Y0qq+FKrzMyYiWEOxv+ALRPgrn3QKlrVjqPCW+4Fo2fjxcfrdyHXYpfArD5QDFfrz/IzcM6Ex7oQWurqo7B0v8Yi9IXP2kcsnv7EiOpEuJs6pOqsxxvc7rXmdNddyRJrIRwZ96+cNn/oLIYvroPXHDn3YOjEwnwOfkdp7+3FzHhATz02Xqu+O8yNuQUWRSd63h+wXZC/Ly59ZwuVodirvKjsOgJiB0Aty2Ca6YbI6xCNIbW8PZY+OaPZ3xYQ68zAT42Hhyd6MjoGiSJlRDurl1vOP/PsHkubGlczRdnmpgay5OX9yM2PAAFxIYH8NQVSSy8fwTPTkpmf8Exxr+0lEfmbKC0ssbqcC2x50gZ8zYe5OZzEggLdPMzAWurYfW7RukEgLBYuCvDKJ0Q29/a2IT7UQoCImDr12d849jQ68yTl/ezZIOMcoXaMmlpaTojI8PqMIRwX/ZaWP02pN5gjGK5kaLyap77bhsLNh/i2/vOJdC3dS79zNhTQPd2Ie572LK9FjZ8akz3FewyRqiu/9w4nkSIlsj8AObcYUwhd0i2OhoAlFKrtdZpDd0nI1ZCeAIvGwy81UiqKktcckrwdMICfPjb+D58d98IAn29qayp5f6ZWWw+UGx1aE5R/+Y2rXOk+yZVedvg1WHw2W3gE2QcoHvrQkmqhDm6jwZUo4uFWk0SKyE8SVE2vDwYMt6yOpImC/A11kfsOFzK4m15XPriUh6bu4mSimqLI3OsadPX8NQ3W6wOo+m0/mXDRGiMUcDxyreNUYXEi6W4pzBPcDR0TDemA91A6xxzF8JThcZCm+7w7V+h6/kQ6X4LofvEhPH970fwzPytvL1sN3PX5fKXS3oxPjkG5WF/rNdlF/LNhoP8flQPq0M5u3WzYOFjRvIe1OaX0ahpK8AvGG52jz96wk0NuROO5RsJvYu/DsiIlRCeRCmY8BJ4ecPsaWfdouyqwgN9+cdl/Zg9bRgdwvx5a+lud5rdbLT/LNhOeKAPNw3rbHUoZ7ZuFsy9G4r2AxrK8iB/B3QcZHwuhKP1Hg9pN7t8UgWSWAnhecLi4OKnYd/PRkFGN5bcMZzPpw3jjRsH4uWlKCir4l/zt1LmAbsHs/YX8v2Ww9w2vAsh/i6+tmrhY1DdQKHF3UvA5uKxC89RchC2zbc6irOSxEoIT5R8DSReAnt+cquF7A2xeSmiQ/wAWLTlMC8t2sHIf//AV+sO4Aq7mpvrxYXGaNWNQztbHcrZFWU37boQjrDsRfjoWqOKvwuTxEoIT6QUXP4aTP7QLYbOG+uKAXF8+ruhRAb5cseMNVz/5kp25pVaHVazPDquD89NSiHYz4WXulYdM6r6n+4Mv7A458YjWrfEsWCvhp3fWx3JGUliJYSn8gs2kqqibFj3sdXRmGZApwjm3nUOfx/fh7XZhTz33TarQ2qW+KhAzu/Z1uowTq/kELxziVHsM3Es+JxyNIhPAIx8xJrYROvUcVBdsVDXLrvgwm+VhBCm+OGfkDUd2nSDmFSrozGFzUtx49DOjO3X4fh04M68UrYfKmV0n3YuvXtw9d6jvLxoB/+4rC8dwpx/jlmjHN4C06+CY0fgmhnQcyzED/5lV2BYnJFUJU2yOlLRmti8jZpW2+dDbY3xuQtyzaiEEOYZ9XfY/i18/luY+gP4+FsdkWnq114BvLl0NzNW7OO8xGj+Pr4PnaKCLIzs9P6zYBubcotdtxhozhp4b6Lx/+Tmr39JxpMmSSIlrJd4Maz7CA6uc9kjkmQqUAhPFxAB41+CvC2w6HGro3GYv4/vw18u6UXGnqOMem4Jz363jYpq1yo3sWpPAT9uP8LtI7q47tE9Ud2g+4VG5XQPGeEUHqTHaLhvk8smVSCJlRCtQ/cLYcDNsOwl2Lfc6mgcwsfmxa3Du7Dw9yMY06c9LyzczutLdlkd1kme+24bbYJ9uW5wJ6tDOZndDitfNxar+4fClW9BeEeroxLi13wCjIO9XZiLvmUSQpjuoseNBe3RPa2OxKHahfrzwuRUJqfH0y/OqA6+PruI8EAfOkYGWhbXil35LNuZz18u6eVao1XVFTBnmnGAspcN0n5jdURCnNnhLbDgURj1GEQnWh3Nr7jQb7cQwqH8go3kCoyK7F42a+NxsCFdowDjkOM/z17P1oMl3Hl+N6aO6IKft/O/9p4dQnlwdKJrjVaV5cNHU2D/chj5qDGqKYSr8wuBbfOMDRUumFjJVKAQrU3hfnhtBOxYYHUkTqGU4n/XD+DCXu3493fbGP3cEn7Yluf0OMICfLjj/G74+7hIQpu/E968EHIzjcOTh9/vUTXPhAcLi4UOyS5bdkESKyFam6BoqKmCOXdB+VGro3GKDmEBvHxtf977TTpKKW58ayWLthx2Wv9//nw9i7c6r79G8/KBG+dC38utjkSIpkkcC/tXQqnz3ySdTYsSK6VUuFLqE6XUFqXUZqXUEKVUpFLqO6XU9rrbCLOCFUKYwMcfLvsvlB6Cb/5odTROdW6PaObdO5x/XNaXc3tEA7Apt5iqGrvD+ly28wjTV+xj95Eyh/XRJPuWG8ccRXWFaT9D/CCrIxKi6RIvBrRR08rFtHTE6nlgnta6J5AMbAYeAhZqrbsDC+s+F0K4ktj+cO6DsG4mbPrC6micys/bxrWDOmHzUpRW1nDtG8sZ8/wSftpxxPS+tNY899022oX6MTk93vT2mxgMLHkG3hoNme8b1zx8nZ3wYO2ToPtF4GPdhpTTaXZipZQKA84F3gTQWldprQuBCcC7dQ97F5jYshCFEA5x7gPGOoWMN62OxDLBft48OymFWrvm2jdWcOeMNRwsqjCt/Z925LNqz1Hr11bVVMGcO+H7x6HfJEi62rpYhDCDUnDtxy45ja2aezq8UioFeA3YhDFatRq4B8jRWofXPUYBR+s/P+X5U4GpAPHx8QP27t3brDiEEC1QnAuBUeDtd/bHerCK6lr++8NOXlm8Ex8vxbf3jyA2vGXHzWitufK/P5NbWM7iB8+zZCciAOWFMOt62L0ERvwRzntYFqkLz1F1DKrKIDjaqd0qpVZrrdMauq8lU4HeQH/gVa11KlDGKdN+2sjaGszctNavaa3TtNZp0dHO/YYIIeqExhhJVUUR7P3Z6mgs4+9j494Le7DgvhHceUH340lVbmF5s9vUGq4cEMdDF/e0LqkCOLQRsjNg4qtw/p8kqRKew14LzyfD9/9ndSQnaUlilQ1ka61X1H3+CUaidUgp1QGg7tYFt8IIIU4y916YcbVxwG4rFh8VyO/O6wrArrxSzntmMfd+lMnhkqZPD3p5KSanxzMhxaIq0WV1a8Y6D4N710PKFGviEMJRvGzQaahR08ruuA0oTdXsxEprfRDYr5Sqr841EmNa8AvgxrprNwJzWhShEMLxRv4V7DXGOpxmLg/wNB3CArh9RBe+Xn+Qkf/6gbd/2k1NbeNevJftPMLbP+126G7DM9r8JfwnCbZ8bXwe1MaaOIRwtMSxxg7n3EyrIzmupbsC7wKmK6XWASnAE8BTwCil1HbgwrrPhRCuLLILXPR/sGtRq17MfqIAXxu/vyiRefcOJyU+nL/P3cRlryyj+izJldaap+dt5Y0fdzsp0pM6h59fhpnXQdteEDfQ+TEI4UzdR4GywdavrY7kuBYdaaO1zgIaWrw1siXtCiEskPYb2PIlfPtX6HK+UedI0CU6mPd+k878jQfZdaQMH5vxfrS0soZgv1+/hC7emsfa/YU8eXk/fL2dWIO5tgbmPQSrXode4+Gy/4Gv621FF8JUgZEQP8Sowj7yr1ZHA8hZgUKIekrB+Jdg3h/B29/qaFyKUooxfTsc//znnfn89oPVPDA6kSnp8di8jAXhWmueW7CNuIgArhwQ59wgt883kqqhd8GFj4GXHKwhWomRj4C3r9VRHCeJlRDiF2GxcPUHVkfh8tqG+tEnJpS/zt7ArFX7ubBXW2ZlZJNTt4vwmoEdj49sOVz9gdo9L4HfzDcOphWiNXGx0wPkLY0Q4tdKDsKMa+DwZqsjcUldo4OZfusgXpicyt78Mp5bsP14UgUwOzOH2Zk5jg/k4Hp4ZYhxC5JUidZrz0+w7EWrowAksRJCNMTLG7JXwee3Q2211dG4JKUU45NjCGpgnVVFjZ1n5m91bADbF8BbY6CqFJDaVKKV2/EdfPeoSxwsL4mVEOLXgtrAuOfhwFrjfDlxWqc7AqclxUXPKuMtmDHJ2M1560Jo39dxfQnhDhLHgq6FHQutjkQSKyHEafS6FJKugSX/gpw1VkfjsmJOc/TN6a632MbZ8OV90O1CuPkbCO1w1qcI4fFiB0BQtEuUXZDESghxehc/DSHtYeFjVkfish4cnUjAKQcsB/jYeHB04mme0UI9L4GLn4FrZoBfsGP6EMLdeNmgTQ/Y8Bn8LQye6wvrZlkTiiW9CiHcQ0A4TP4IrnrH6khc1sTUWJ68vB+x4QEoIDY8gCcv78fEVBOPsik9DJ/8xjimxuYDg6aCTTZ1C3HculnGutD644mL9sPcuy1JrpR2geMr0tLSdEZGhtVhCCHOpKYKirONdT3CefK2wvQroTQPpsyELiOsjkgI1/NcXyOZOlVYR7hvg+ndKaVWa60bKpAuI1ZCiEb69BZ4byJUllgdSeuxewm8OQqqy+HmrySpEuJ0TneAvAUHy0tiJYRonCF3QOE++PYvVkfSOmydB+9fBiEdjJ1/sQOsjkgI1xV2mpMOTnfdgSSxEkI0Tvxg47iU1e8YNZSEY8WlQfI1RjX1iE5WRyOEaxv5CPicshPXJ8C47mSSWAkhGu/8P0N0L/jiTpcoxOdxaiph6X+M9WxBbWDCy8YGAiHEmSVNgnEvGGuqUMbtuBeM604m20qEEI3n4w+XvQpz74VjBRAQYXVEnuNYAcy8Dvb+BNE9IXGM1REJ4V6SJlmSSJ1KEishRNPEpMLUxaDkGBXT5O80KqkX7oMr3pSkSgg3JlOBQoimUwoqiuDrB40aS6L59q8ydv4dy4cbvoB+V1odkRCiBSSxEkI0T8lBWP0uzL0HXKAentvyCTB2Lt26EDoNsToaIUQLSWIlhGie6EQY+VfjbK61H1odjXvRGnZ+b3zcvi9M/QGiulobkxDCFJJYCSGab/A0iB8K3/zRkkJ8bqm2Gr64y6hRte1b45qsVxPCY0hiJYRoPi8bTHwF7LVGciXOrKIIpl8Fme/D8Aeg24VWRySEMJnsChRCtExkAlz1NrTtbXUkrq1wv7Hz78g2oz5V6nVWRySEcABJrIQQLddjtHGrtTEqI0Utf+3geijOhes+hS7nWR2NEMJBZCpQCGGeT28xRmXstVZH4jqKcozbnmPhnrWSVAnh4SSxEkKYp8cY2L8Clr1gdSSuYfmr8EIK7P3Z+FxG8oTweJJYCSHM0+8q6DUOFj0BhzZaHY117LXw9R9g3kPQ/SLokGx1REIIJ5E1VkII8ygFl/4HXhkMn98Ot34P3r5WR+V462bBwseMkhOhMRDYBg6uhSF3wqjHjN2TQohWQUashBDmCmpjJFfHCqBwr9XRON66WTD3bijaD2gozjGSqpRrYfQ/JKkSopWRESshhPl6XQpdLwDfQKsjcYziXGNRelkefPMHqC7/9WN2L3F+XEIIy0liJYRwDN9AqKmCla/BwFuMM/FcUW01lB0xkqQOSca17Qtg71LjWmmecVtTCdOWGffP/zNs/OzM7UoleiFaJUmshBCOk5MB3/7ZGOEZ84Tz+q0qM/osyzvh3xFjzZNfMGS8ZezYK8uD8qO/PO/hHOP+XYtgxf8guK0xtRkUbfyz28HLC4bcASlTjPs+nAwlB34dQ1ic875eIYTLkMRKCOE4nYbCwFth+SuwfpaR3ITFwchHIGlS49uprjCSoMAoYyTsyHbY8tUvCVN98nTlW9CmO2ROh28e/HU7/a4yEqeACKNSfH3CVJ88edW9JI58FC56/PRn+MWl/fLxqMeMNVYnTgf6BBhfoxCi1ZHESgjhWB1SjNuyPOO2aL9xCHFliZF4nTii1OV8iO4BOWuMUgX1U3FVJcZzr/vUOF8vbysseBS8/SGoblQppINR+R2g6/lw+esnjzYFRoHNx7i/z2XGv9Npyk7G+gSxfldgcxJHIYTHULr+hchCaWlpOiMjw+owhBCO8Fzfuh1zjTD+Reh/AxzaBPP+WJc0nTCi1G2kkbjUVBpro3yDTj+qJIQQDqKUWq21TmvoPhmxEkI41pkWcV/51gnTcW2NKTqAdr3hxrmnf563n/FPCCFcjCRWQgjHCotreMQqrCP0vcL58QghhANJgVAhhGONfOTXpRZkcbcQwkNJYiWEcKykSTDuBWOECmXcjntBFncLITySTAUKIRwvaZIkUkKIVkFGrIQQQgghTNKiESul1B6gBKgFarTWaUqpSGAm0BnYA0zSWh89XRtCCCGEEJ7CjBGr87XWKSfUc3gIWKi17g4srPtcCCGEEMLjOWIqcALwbt3H7wITHdCHEEIIIYTLaWlipYFvlVKrlVJT666101rXn0h6EGjXwj6EEEIIIdxCS3cFnqO1zlFKtQW+U0ptOfFOrbVWSjV4Zk5dIjYVID4+voVhCCGEEEJYr0UjVlrrnLrbw8DnQDpwSCnVAaDu9vBpnvua1jpNa50WHR3dkjCEEEIIIVxCsxMrpVSQUiqk/mPgImAD8AVwY93DbgTmtDRIIYQQQgh30JKpwHbA58o4Wd4bmKG1nqeUWgXMUkrdAuwFpCqgEEIIIVqFZidWWutdQHID1/OBkS0JSgghhBDCHSmtG1xb7twglMrDGN1ytDbAESf0IxxDfn7uT36G7k9+hu5Nfn7m6KS1bnCBuEskVs6ilMo4oZCpcDPy83N/8jN0f/IzdG/y83M8OStQCCGEEMIkklgJIYQQQpiktSVWr1kdgGgR+fm5P/kZuj/5Gbo3+fk5WKtaYyWEEEII4UitbcRKCCGEEMJhWkVipZQao5TaqpTaoZR6yOp4RNMopToqpRYppTYppTYqpe6xOibRdEopm1IqUyn1pdWxiKZTSoUrpT5RSm1RSm1WSg2xOibRNEqp++peQzcopT5USvlbHZMn8vjESillA14GLgZ6A5OVUr2tjUo0UQ3we611b2AwcIf8DN3SPcBmq4MQzfY8ME9r3ROjOLT8LN2IUioWuBtI01r3BWzANdZG5Zk8PrHCOBh6h9Z6l9a6CvgImGBxTKIJtNYHtNZr6j4uwXhBj7U2KtEUSqk44BLgDatjEU2nlAoDzgXeBNBaV2mtCy0NSjSHNxCglPIGAoFci+PxSK0hsYoF9p/weTbyR9ltKaU6A6nACotDEU3zH+APgN3iOETzJAB5wNt107lvKKWCrA5KNJ7WOgf4F7APOAAUaa2/tTYqz9QaEivhIZRSwcCnwL1a62Kr4xGNo5S6FDistV5tdSyi2byB/sCrWutUoAyQ9apuRCkVgTFbkwDEAEFKqeusjcoztYbEKgfoeMLncXXXhBtRSvlgJFXTtdafWR2PaJJhwHil1B6MqfgLlFIfWBuSaKJsIFtrXT9S/AlGoiXcx4XAbq11nta6GvgMGGpxTB6pNSRWq4DuSqkEpZQvxmK9LyyOSTSBUkphrO3YrLV+1up4RNNorR/WWsdprTtj/P59r7WWd8puRGt9ENivlEqsuzQS2GRhSKLp9gGDlVKBda+pI5ENCA7hbXUAjqa1rlFK3QnMx9gF8ZbWeqPFYYmmGQZcD6xXSmXVXfuT1vpr60ISotW5C5he9wZ1F3CzxfGIJtBar1BKfQKswdhpnYlUYXcIqbwuhBBCCGGS1jAVKIQQQgjhFJJYCSGEEEKYRBIrIYQQQgiTSGIlhBBCCGESSayEEEIIIUwiiZUQQgghhEkksRJCCCGEMIkkVkIIIYQQJvl/VsYqfcCXVbsAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(x, z, label=\"Income\")\n", + "plt.plot(x, z, ls=\"--\")\n", + "\n", + "plt.scatter(x, y, label=\"Expenses\")\n", + "plt.plot(x, y, ls=\"--\")\n", + "\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Constructing the connected scatterplot component by component also gives us more flexibility to customize our plot. For example, it is possible to use different colors for the markers by passing a list of colors to the `color` argument in `plt.scatter()`." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x, z)\n", + "plt.scatter(x, z, color=[\"red\", \"black\"] * 5, s=80, zorder=10)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We would have obtained an error if we had passed `color=[\"red\", \"black\"] * 5` to the `plt.plot()` function." + ] "execution_count": 3, "source": [ "# libraries\n", @@ -71,9 +236,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.6" + "version": "3.9.5" }, - "seoDescription": "Plotting a basic connected scatterplot chart with matplotlib", + "seoDescription": "Plotting a basic connected scatterplot chart with Matplotlib", "slug": "132-basic-connected-scatterplot", "title": "Basic Connected Scatterplot with Matplotlib", "interpreter": {