{ "cells": [ { "cell_type": "code", "execution_count": 191, "metadata": {}, "outputs": [], "source": [ "# ok, lets start by loading our usual stuffs\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 192, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 193, "metadata": {}, "outputs": [], "source": [ "# Get daily summary data from: https://www.ncdc.noaa.gov/cdo-web/search \n", "# and you can read more about the inputs here: https://www1.ncdc.noaa.gov/pub/data/cdo/documentation/GHCND_documentation.pdf\n", "w = pd.read_csv(\"/Users/jnaiman/Downloads/2018_ChampaignWeather.csv\")" ] }, { "cell_type": "code", "execution_count": 194, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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26US1ILCP0061CHAMPAIGN 1.5 SSE, IL US40.0943-88.2519228.02018-01-270.00,,N0.0,,N...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
27US1ILCP0061CHAMPAIGN 1.5 SSE, IL US40.0943-88.2519228.02018-01-280.00,,N0.0,,N...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
28US1ILCP0061CHAMPAIGN 1.5 SSE, IL US40.0943-88.2519228.02018-01-290.01,,N0.1,,N...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
29US1ILCP0061CHAMPAIGN 1.5 SSE, IL US40.0943-88.2519228.02018-01-300.00T,,N0.0T,,N...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
..................................................................
748USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-030.07,,7,08000.0T,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
749USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-040.01,,7,08000.0T,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
750USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-050.01,,7,08000.3,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
751USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-060.00T,,7,08000.0T,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
752USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-070.09,,7,08001.3,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
753USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-080.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
754USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-090.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
755USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-100.00,,7,08000.0,,7,0800...1.0,,7NaNNaNNaNNaNNaNNaNNaNNaN
756USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-110.00,,7,08000.0,,7,0800...1.0,,7NaNNaNNaNNaNNaNNaNNaNNaN
757USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-120.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
758USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-130.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
759USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-140.44,,7,08000.0,,7,0800...1.0,,7NaNNaNNaNNaNNaNNaNNaNNaN
760USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-150.00T,,7,08000.0,,7,0800...1.0,,7NaNNaNNaNNaNNaNNaNNaNNaN
761USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-160.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
762USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-170.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
763USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-180.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
764USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-190.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
765USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-200.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
766USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-210.08,,7,08000.0T,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
767USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-220.00T,,7,08000.0T,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
768USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-230.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
769USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-240.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
770USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-250.00T,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
771USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-260.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
772USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-270.29,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
773USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-280.39,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
774USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-290.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
775USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-300.00,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
776USC00118740CHAMPAIGN 3 S, IL US40.0840-88.2404219.82018-12-311.03,,7,08000.0,,7,0800...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
777US1ILCP0110CHAMPAIGN 1.0 ESE, IL US40.1055-88.2478226.52018-05-101.20,,NNaNNaN...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
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778 rows × 30 columns

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219.8 \n", "776 USC00118740 CHAMPAIGN 3 S, IL US 40.0840 -88.2404 219.8 \n", "777 US1ILCP0110 CHAMPAIGN 1.0 ESE, IL US 40.1055 -88.2478 226.5 \n", "\n", " DATE PRCP PRCP_ATTRIBUTES SNOW SNOW_ATTRIBUTES ... \\\n", "0 2018-01-01 0.01 ,,N 0.1 ,,N ... \n", "1 2018-01-02 0.00 ,,N 0.0 ,,N ... \n", "2 2018-01-03 0.00 T,,N 0.0 T,,N ... \n", "3 2018-01-04 0.01 ,,N 0.1 ,,N ... \n", "4 2018-01-05 0.00 ,,N 0.0 ,,N ... \n", "5 2018-01-06 0.00 ,,N 0.0 ,,N ... \n", "6 2018-01-07 0.00 ,,N 0.0 ,,N ... \n", "7 2018-01-08 0.13 ,,N 0.1 ,,N ... \n", "8 2018-01-09 0.00 ,,N 0.0 ,,N ... \n", "9 2018-01-10 0.03 ,,N 0.0 ,,N ... \n", "10 2018-01-11 0.00 ,,N 0.0 ,,N ... \n", "11 2018-01-12 0.27 ,,N 0.2 ,,N ... \n", "12 2018-01-13 0.00 ,,N 0.0 ,,N ... \n", "13 2018-01-14 0.00 ,,N 0.0 ,,N ... \n", "14 2018-01-15 0.19 ,,N 3.2 ,,N ... \n", "15 2018-01-16 0.01 ,,N 0.0 T,,N ... \n", "16 2018-01-17 0.01 ,,N 1.0 ,,N ... \n", "17 2018-01-18 0.00 ,,N 0.0 ,,N ... \n", "18 2018-01-19 0.00 ,,N 0.0 ,,N ... \n", "19 2018-01-20 0.00 ,,N 0.0 ,,N ... \n", "20 2018-01-21 0.00 ,,N 0.0 ,,N ... \n", "21 2018-01-22 0.44 ,,N 0.0 ,,N ... \n", "22 2018-01-23 0.07 ,,N 0.0 ,,N ... \n", "23 2018-01-24 0.01 ,,N 0.0 T,,N ... \n", "24 2018-01-25 0.00 T,,N 0.0 T,,N ... \n", "25 2018-01-26 0.00 ,,N 0.0 ,,N ... \n", "26 2018-01-27 0.00 ,,N 0.0 ,,N ... \n", "27 2018-01-28 0.00 ,,N 0.0 ,,N ... \n", "28 2018-01-29 0.01 ,,N 0.1 ,,N ... \n", "29 2018-01-30 0.00 T,,N 0.0 T,,N ... \n", ".. ... ... ... ... ... ... \n", "748 2018-12-03 0.07 ,,7,0800 0.0 T,,7,0800 ... \n", "749 2018-12-04 0.01 ,,7,0800 0.0 T,,7,0800 ... \n", "750 2018-12-05 0.01 ,,7,0800 0.3 ,,7,0800 ... \n", "751 2018-12-06 0.00 T,,7,0800 0.0 T,,7,0800 ... \n", "752 2018-12-07 0.09 ,,7,0800 1.3 ,,7,0800 ... \n", "753 2018-12-08 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "754 2018-12-09 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "755 2018-12-10 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "756 2018-12-11 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "757 2018-12-12 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "758 2018-12-13 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "759 2018-12-14 0.44 ,,7,0800 0.0 ,,7,0800 ... \n", "760 2018-12-15 0.00 T,,7,0800 0.0 ,,7,0800 ... \n", "761 2018-12-16 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "762 2018-12-17 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "763 2018-12-18 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "764 2018-12-19 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "765 2018-12-20 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "766 2018-12-21 0.08 ,,7,0800 0.0 T,,7,0800 ... \n", "767 2018-12-22 0.00 T,,7,0800 0.0 T,,7,0800 ... \n", "768 2018-12-23 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "769 2018-12-24 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "770 2018-12-25 0.00 T,,7,0800 0.0 ,,7,0800 ... \n", "771 2018-12-26 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "772 2018-12-27 0.29 ,,7,0800 0.0 ,,7,0800 ... \n", "773 2018-12-28 0.39 ,,7,0800 0.0 ,,7,0800 ... \n", "774 2018-12-29 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "775 2018-12-30 0.00 ,,7,0800 0.0 ,,7,0800 ... \n", "776 2018-12-31 1.03 ,,7,0800 0.0 ,,7,0800 ... \n", "777 2018-05-10 1.20 ,,N NaN NaN ... \n", "\n", " WT01 WT01_ATTRIBUTES WT03 WT03_ATTRIBUTES WT04 WT04_ATTRIBUTES WT06 \\\n", "0 NaN NaN NaN NaN NaN NaN NaN \n", "1 NaN NaN NaN NaN NaN NaN NaN \n", "2 NaN NaN NaN NaN NaN NaN NaN \n", "3 NaN NaN NaN NaN NaN NaN NaN \n", "4 NaN NaN NaN NaN NaN NaN NaN \n", "5 NaN NaN NaN NaN NaN NaN NaN \n", "6 NaN NaN NaN NaN NaN NaN NaN \n", "7 NaN NaN NaN NaN NaN NaN NaN \n", "8 NaN NaN NaN NaN NaN NaN NaN \n", "9 NaN NaN NaN NaN NaN NaN NaN \n", "10 NaN NaN NaN NaN NaN NaN NaN \n", "11 NaN NaN NaN NaN NaN NaN NaN \n", "12 NaN NaN NaN NaN NaN NaN NaN \n", "13 NaN NaN NaN NaN NaN NaN NaN \n", "14 NaN NaN NaN NaN NaN NaN NaN \n", "15 NaN NaN NaN NaN NaN NaN NaN \n", "16 NaN NaN NaN NaN NaN NaN NaN \n", "17 NaN NaN NaN NaN NaN NaN NaN \n", "18 NaN NaN NaN NaN NaN NaN NaN \n", "19 NaN NaN NaN NaN NaN NaN NaN \n", "20 NaN NaN NaN NaN NaN NaN NaN \n", "21 NaN NaN NaN NaN NaN NaN NaN \n", "22 NaN NaN NaN NaN NaN NaN NaN \n", "23 NaN NaN NaN NaN NaN NaN NaN \n", "24 NaN NaN NaN NaN NaN NaN NaN \n", "25 NaN NaN NaN NaN NaN NaN NaN \n", "26 NaN NaN NaN NaN NaN NaN NaN \n", "27 NaN NaN NaN NaN NaN NaN NaN \n", "28 NaN NaN NaN NaN NaN NaN NaN \n", "29 NaN NaN NaN NaN NaN NaN NaN \n", ".. ... ... ... ... ... ... ... \n", "748 NaN NaN NaN NaN NaN NaN NaN \n", "749 NaN NaN NaN NaN NaN NaN NaN \n", "750 NaN NaN NaN NaN NaN NaN NaN \n", "751 NaN NaN NaN NaN NaN NaN NaN \n", "752 NaN NaN NaN NaN NaN NaN NaN \n", "753 NaN NaN NaN NaN NaN NaN NaN \n", "754 NaN NaN NaN NaN NaN NaN NaN \n", "755 1.0 ,,7 NaN NaN NaN NaN NaN \n", "756 1.0 ,,7 NaN NaN NaN NaN NaN \n", "757 NaN NaN NaN NaN NaN NaN NaN \n", "758 NaN NaN NaN NaN NaN NaN NaN \n", "759 1.0 ,,7 NaN NaN NaN NaN NaN \n", "760 1.0 ,,7 NaN NaN NaN NaN NaN \n", "761 NaN NaN NaN NaN NaN NaN NaN \n", "762 NaN NaN NaN NaN NaN NaN NaN \n", "763 NaN NaN NaN NaN NaN NaN NaN \n", "764 NaN NaN NaN NaN NaN NaN NaN \n", "765 NaN NaN NaN NaN NaN NaN NaN \n", "766 NaN NaN NaN NaN NaN NaN NaN \n", "767 NaN NaN NaN NaN NaN NaN NaN \n", "768 NaN NaN NaN NaN NaN NaN NaN \n", "769 NaN NaN NaN NaN NaN NaN NaN \n", "770 NaN NaN NaN NaN NaN NaN NaN \n", "771 NaN NaN NaN NaN NaN NaN NaN \n", "772 NaN NaN NaN NaN NaN NaN NaN \n", "773 NaN NaN NaN NaN NaN NaN NaN \n", "774 NaN NaN NaN NaN NaN NaN NaN \n", "775 NaN NaN NaN NaN NaN NaN NaN \n", "776 NaN NaN NaN NaN NaN NaN NaN \n", "777 NaN NaN NaN NaN NaN NaN NaN \n", "\n", " WT06_ATTRIBUTES WT11 WT11_ATTRIBUTES \n", "0 NaN NaN NaN \n", "1 NaN NaN NaN \n", "2 NaN NaN NaN \n", "3 NaN NaN NaN \n", "4 NaN NaN NaN \n", "5 NaN NaN NaN \n", "6 NaN NaN NaN \n", "7 NaN NaN NaN \n", "8 NaN NaN NaN \n", "9 NaN NaN NaN \n", "10 NaN NaN NaN \n", "11 NaN NaN NaN \n", "12 NaN NaN NaN \n", "13 NaN NaN NaN \n", "14 NaN NaN NaN \n", "15 NaN NaN NaN \n", "16 NaN NaN NaN \n", "17 NaN NaN NaN \n", "18 NaN NaN NaN \n", "19 NaN NaN NaN \n", "20 NaN NaN NaN \n", "21 NaN NaN NaN \n", "22 NaN NaN NaN \n", "23 NaN NaN NaN \n", "24 NaN NaN NaN \n", "25 NaN NaN NaN \n", "26 NaN NaN 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# lets first sort our weather data by date\n", "w.sort_values(by=\"DATE\")\n", "\n", "# now, lets change our date values to datetime\n", "# note we did this using the \"datetime\" python package\n", "# a few lectures ago\n", "w[\"DATE\"] = pd.to_datetime(w[\"DATE\"])\n", "\n", "# we've also got data from a few different stations\n", "# so lets pick one!\n", "mask = w[\"NAME\"] == 'CHAMPAIGN 3 S, IL US'\n", "\n", "# now lets make a quick plot!\n", "plt.plot(w[\"DATE\"][mask], w[\"TMIN\"][mask], label='Min temp')\n", "plt.plot(w[\"DATE\"][mask], w[\"TMAX\"][mask], label=\"Max temp\")\n", "\n", "plt.xlabel('Date')\n", "plt.ylabel('Temp in F')\n", "plt.legend()\n", "\n", "# lets label some things\n", "\n", "# and again, lets make our plot a little bigger\n", "plt.rcParams[\"figure.dpi\"] = 100 # 100 is better for lecture\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Activity #1: Histograms\n", "* Here we will play with different sorts of simple rebinning methods\n", "* We'll think about when we want to use sums vs. averaging" ] }, { "cell_type": "code", "execution_count": 196, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "ca408c012de743f49d77c61839c3f7c4", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=20, description='window', max=40, min=1), Output()), _dom_classes=('widg…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lets also plot the mean and take a look\n", "mean_temp = 0.5*(w[\"TMIN\"]+w[\"TMAX\"])[mask]\n", "#print(len(mean_temp))\n", "\n", "\n", "# lets also import ipywidgets\n", "import ipywidgets\n", "\n", "# now, if we recall last time, we have some methods to take out \n", "# some of the \"noisiness\" in data\n", "# and! we can do this interactively!\n", "@ipywidgets.interact(window = (1, 40, 1))\n", "def make_plot(window):\n", " mean_temp_avg = mean_temp.rolling(window=window).mean()\n", " plt.plot(mean_temp, marker = '.', linewidth = 0.5, alpha = 0.5)\n", " plt.plot(mean_temp_avg, marker = '.', linewidth = 1.5)\n", " plt.xlabel('Date')\n", " plt.ylabel('Mean Daily Temp in F')\n", " \n", "# when the window size is ~20, we can really see the seasonal averages\n", "\n", "# as we discussed last lecture, what we are doing here is a \n", "# \"rolling average\"\n", "# this is now choosing a rolling average over which to do\n", "# an averaging - it takes nearby bins and averages\n", "# this is like (sum(values)/N)\n" ] }, { "cell_type": "code", "execution_count": 197, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['STATION', 'NAME', 'LATITUDE', 'LONGITUDE', 'ELEVATION', 'DATE', 'PRCP',\n", " 'PRCP_ATTRIBUTES', 'SNOW', 'SNOW_ATTRIBUTES', 'SNWD', 'SNWD_ATTRIBUTES',\n", " 'TMAX', 'TMAX_ATTRIBUTES', 'TMIN', 'TMIN_ATTRIBUTES', 'TOBS',\n", " 'TOBS_ATTRIBUTES', 'WDMV', 'WDMV_ATTRIBUTES', 'WT01', 'WT01_ATTRIBUTES',\n", " 'WT03', 'WT03_ATTRIBUTES', 'WT04', 'WT04_ATTRIBUTES', 'WT06',\n", " 'WT06_ATTRIBUTES', 'WT11', 'WT11_ATTRIBUTES'],\n", " dtype='object')" ] }, "execution_count": 197, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# ok cool. So, this is our first taste of how we might want to \n", "# modify data to show different things - for example if we \n", "# average over more bins, then we see more seasonal variencies\n", "\n", "# lets compare this dataset to a dataset we might want to \n", "# visualize a little differently\n", "\n", "w.keys()" ] }, { "cell_type": "code", "execution_count": 198, "metadata": {}, "outputs": [], "source": [ "# lets grab the amount of rain each day, I *think* in inches\n", "precp = w['PRCP'][mask]" ] }, { "cell_type": "code", "execution_count": 199, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DATE True\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "cdeda82808bf46698afc81d33753dc82", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=20, description='window', max=40, min=1), Output()), _dom_classes=('widg…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# we can now do a side by side figure using ipywidgets\n", "# lets do some funny things to rejigger our plots\n", "# to use panda's plotting routine\n", "import matplotlib.dates as mdates\n", "\n", "# if we've not done this before, only an issue \n", "# if we want to re-run this cell a few times\n", "# for any reason\n", "set_ind = False\n", "for k in w.keys():\n", " if k.find('DATE') != -1:\n", " set_ind = True\n", " print(k,set_ind)\n", "if set_ind: w.set_index('DATE',inplace=True)\n", "\n", "# because we have re-indexed we have to re-define our arrays\n", "mask = w[\"NAME\"] == 'CHAMPAIGN 3 S, IL US'\n", "mean_temp = 0.5*(w[\"TMIN\"]+w[\"TMAX\"])[mask]\n", "precp = w['PRCP'][mask] \n", "\n", "@ipywidgets.interact(window = (1, 40, 1))\n", "def make_plot(window):\n", " fig, ax = plt.subplots(1,2,figsize=(10,4))\n", " mean_temp_avg = mean_temp.rolling(window=window).mean()\n", " mean_temp.plot(ax=ax[0])\n", " mean_temp_avg.plot(ax=ax[0])\n", "\n", " precp_avg = precp.rolling(window=window).mean()\n", " precp.plot(ax=ax[1], marker='.',linewidth=0.5, alpha=0.5)\n", " precp_avg.plot(ax=ax[1], marker='.', linewidth=1.5)\n", " \n", " # note: the below also works too\n", " #ax[1].plot(precp, marker = '.', linewidth = 0.5, alpha = 0.5)\n", " #ax[1].plot(precp_avg, marker = '.', linewidth = 1.5)\n", " \n", " # format our axis\n", " ax[1].set_xlabel('Date')\n", " ax[1].set_ylabel('Daily rainfall in inches')\n", " ax[0].set_xlabel('Date')\n", " ax[0].set_ylabel('Mean Daily Temp in F')\n", " \n", " for i in range(2): ax[i].xaxis.set_major_formatter(mdates.DateFormatter('%m'))\n", "\n", " #fig.canvas.draw() # probably don't need this\n" ] }, { "cell_type": "code", "execution_count": 200, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8d994e22a8b640bf9e816e139f4b2829", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=50, description='window', min=1), Output()), _dom_classes=('widget-inter…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# now we note something interesting:\n", "# averaging brings out the seasonal \n", "# differences in the temperature data\n", "# however, no such stark trends are present\n", "# when we averaging the rain data\n", "\n", "# this is because we know that seasons \n", "# have changes in daily temperature \n", "# measurements, but they have changes\n", "# in *TOTAL* rainfall.\n", "\n", "# While you may get more rain on days\n", "# throughout the year, its the total, \n", "# averaged over SEVERAL days that will\n", "# tell you more.\n", "\n", "# With this in mind, lets re-do our viz\n", "@ipywidgets.interact(window = (1, 100, 1))\n", "def make_plot(window):\n", " fig, ax = plt.subplots(1,2,figsize=(10,4))\n", " mean_temp_avg = mean_temp.rolling(window=window).mean()\n", " mean_temp.plot(ax=ax[0])\n", " mean_temp_avg.plot(ax=ax[0])\n", "\n", " precp_avg = precp.rolling(window=window).sum() # SUM IS THE KEY!!\n", " precp.plot(ax=ax[1], marker='.',linewidth=0.5, alpha=0.5)\n", " precp_avg.plot(ax=ax[1], marker='.', linewidth=1.5)\n", " \n", " # format our axis\n", " ax[1].set_xlabel('Date')\n", " ax[1].set_ylabel('Daily rainfall in inches')\n", " ax[0].set_xlabel('Date')\n", " ax[0].set_ylabel('Mean Daily Temp in F')\n", " \n", " for i in range(2): ax[i].xaxis.set_major_formatter(mdates.DateFormatter('%m'))\n", " \n", "# now, if we really crank up the binning, we can see that the \n", "# overall rainfail shape follows that of the \n", "# smoothed temperature shape, eventhough the first plot is \n", "# of a moving average & the other a moving sum\n", "\n" ] }, { "cell_type": "code", "execution_count": 201, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "da8221f8464847d48a1954970bedba04", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=50, description='window', min=1), Output()), _dom_classes=('widget-inter…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# now notice that everything is shifted to later dates, why is this?\n", "# this is because of the formatting of our bins\n", "precp.rolling?\n", "\n", "# we can make a slight change to how the binning\n", "# is done and get a very different effect\n", "\n", "@ipywidgets.interact(window = (1, 100, 1))\n", "def make_plot(window):\n", " fig, ax = plt.subplots(1,2,figsize=(10,4))\n", " mean_temp_avg = mean_temp.rolling(window=window,center=True).mean()\n", " mean_temp.plot(ax=ax[0])\n", " mean_temp_avg.plot(ax=ax[0])\n", "\n", " precp_avg = precp.rolling(window=window,center=True).sum() \n", " precp.plot(ax=ax[1], marker='.',linewidth=0.5, alpha=0.5)\n", " precp_avg.plot(ax=ax[1], marker='.', linewidth=1.5)\n", " \n", " # format our axis\n", " ax[1].set_xlabel('Date')\n", " ax[1].set_ylabel('Daily rainfall in inches')\n", " ax[0].set_xlabel('Date')\n", " ax[0].set_ylabel('Mean Daily Temp in F')\n", " \n", " for i in range(2): ax[i].xaxis.set_major_formatter(mdates.DateFormatter('%m'))\n" ] }, { "cell_type": "code", "execution_count": 298, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "192b64fe7ea34d11b16e94f917dba803", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=50, description='window', min=1), IntSlider(value=46, description='day_b…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Now, another thing to note about our sum for \n", "# rainfall is that its \"rolling\" - that is we \n", "# are somewhat double summing the amount of \n", "# rainfall in each bin - the sum in bin \"i\"\n", "# includes data from bin \"i-1\" and bin \"i+1\"\n", "\n", "# think last time I called this binning and \n", "# not smoothing - but I think the correct \n", "# view is that it is somewhere between the \n", "# two. To think about the difference, lets \n", "# try some straight forward binning by \n", "# making a histogram.\n", "\n", "# we can instead make a *HISTOGRAM* in which we\n", "# rebin our data more coursely\n", "@ipywidgets.interact(window = (1, 100, 1), day_bins=(1,100,5))\n", "def make_plot(window,day_bins):\n", " fig, ax = plt.subplots(1,2,figsize=(10,4))\n", " #ax[1].xaxis_date() # I don't think we need these\n", " #ax[0].xaxis_date()\n", "\n", " mean_temp_avg = mean_temp.rolling(window=window,center=True).mean()\n", " mean_temp.plot(ax=ax[0])\n", " mean_temp_avg.plot(ax=ax[0])\n", "\n", " precp.plot(ax=ax[1], marker='.',linewidth=0.5, alpha=0.5)\n", " precp_resampled = precp.resample(str(day_bins)+'D').sum()\n", " precp_resampled.plot(ax=ax[1], marker='.')\n", " \n", " # label our axis\n", " ax[1].set_xlabel('Date')\n", " ax[1].set_ylabel('Daily rainfall in inches')\n", " ax[0].set_xlabel('Date')\n", " ax[0].set_ylabel('Mean Daily Temp in F')\n", " \n", " ax[1].set_xlim(ax[0].get_xlim())\n", " \n", " # lets leave this out and see the \"natural\" pandas formatting\n", " #for i in range(2): ax[i].xaxis.set_major_formatter(mdates.DateFormatter('%m'))\n", " \n", "# here now in the left plot each point is representing all\n", "# rainfall within the specified time range\n", "# The lines are the equivalent to overplotting the \n", "# lines ontop of the histogram we made by hand in the \n", "# lecture slides earlier" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Take aways:\n", "* so far we've been doing fairly simple averages - the orange plot on the right of our last plot is of total rainfall is an example of a *HISTOGRAM* that we talked about in the lecture\n", "\n", "* the orange plot on the left is a rolling average, which is a variation of a histogram *AND* each value in it is divided by the number of data points used to make the data point. Note that this makes a lot more sense for this dataset since the \"total temperature\" across several days doesn't make a whole lot of sense to talk about.\n", "\n", "* the *CENTERING* we talked about in lecture applies here too - how we decided where the bins for each window started shifted our plot " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Activity #2: Smoothing\n", "* we have thus far performed simple transformations to our datasets - some histogramming, something between binning and smoothing - however we note that in our final plots, while overall shapes of seasons are present, much detail is lost\n", "* Can we preserve both? The short answer is yes, but not without sacrificing some loss of precise statistical information. We will do this with smoothing." ] }, { "cell_type": "code", "execution_count": 185, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "deec68e645df43239456c1f7488b9485", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=50, description='window', min=1), Dropdown(description='window_type', op…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# we can check out the end of the rolling window docs to \n", "# see our window options **post in chat too**\n", "windows_avail = [None,'boxcar','triang','blackman','hamming',\n", " 'bartlett','parzen', 'bohman', \n", " 'blackmanharris','nuttall','barthann']\n", "\n", "# **start with bartlett**\n", "\n", "@ipywidgets.interact(window = (1, 100, 1), window_type=windows_avail)\n", "def make_plot(window, window_type):\n", " fig, ax = plt.subplots(1,2,figsize=(10,4))\n", " mean_temp_avg = mean_temp.rolling(window=window,center=True, win_type=window_type).mean()\n", " mean_temp.plot(ax=ax[0], marker='.')\n", " mean_temp_avg.plot(ax=ax[0], marker='.')\n", "\n", " precp_avg = precp.rolling(window=window,center=True, win_type=window_type).sum() \n", " precp.plot(ax=ax[1], marker='.',linewidth=0.5, alpha=0.5)\n", " precp_avg.plot(ax=ax[1], marker='.', linewidth=1.5)\n", " \n", " # format our axis\n", " ax[1].set_xlabel('Date')\n", " ax[1].set_ylabel('Daily rainfall in inches')\n", " ax[0].set_xlabel('Date')\n", " ax[0].set_ylabel('Mean Daily Temp in F')\n", " \n", " for i in range(2): ax[i].xaxis.set_major_formatter(mdates.DateFormatter('%m'))" ] }, { "cell_type": "code", "execution_count": 299, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 299, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# so, we can see in the above that different \n", "# windows tend to smooth out or \n", "# excentuate different features\n", "\n", "# what is this all doing?\n", "\n", "# (1) lets make a toy example of a bartlett window\n", "npoints = 10\n", "x = np.arange(0,npoints)\n", "y = np.repeat(1,npoints)\n", "plt.plot(x,y,'o',label='Origional Data')\n", "\n", "# (2) ok, nothing exciting, but lets apply \n", "# apply a bartlet window to our data\n", "# and see what happens\n", "plt.plot(x,y*np.bartlett(npoints),'o', label='Bartlett')\n", "# so we see that our points have been weighted toward the \n", "# center\n", "\n", "# (3) we can try one more example\n", "plt.plot(x,y*np.hamming(npoints),'o', label='Hamming')\n", "# so we can see this is a slightly poofier window\n", "# in the center part\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The big ideas:\n", "\n", "### So, why would we want to do this?\n", "* When we apply a window like this to data in one of our bins and then take our sums or averages, we are essentially saying that in a particular window, we think the data in the center of the window is more important than the data at the sides of the window. \n", "* This is an example of a *WEIGHTED AVERAGE*. \n", "* This can make sense when we want a balance between making our data look less noisy, but still feature the data at each y-position more heavily than its neighbors when we plot at that x-position\n", "\n", "### What do we give up?\n", "* This smoothed representation is, in a sense, \"lossy\" - i.e. we can not easily backtrack out the exact value at each point because it has been convolved with a window function. \n", "* To get back to our original data we would have to *deconvolve* our data with our smoothing function\n", "* It would be less accurate to perform any statistical analysis with smoothed data, but it can make the plot more visually appealing.\n", "\n", "A nice resource: https://space.mit.edu/cxc/isis/contrib/Smooth_vs_rebin/Smooth_vs_rebin.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Activity The Third: Binning 2D Datasets" ] }, { "cell_type": "code", "execution_count": 267, "metadata": {}, "outputs": [], "source": [ "# So, we can apply these ideas to 2D datasets as well\n", "\n", "# lets use a different dataset:\n", "ufos = pd.read_csv(\"/Users/jnaiman/Downloads/ufo-scrubbed-geocoded-time-standardized-00.csv\",\n", " names = [\"date\", \"city\", \"state\", \"country\",\n", " \"shape\", \"duration_seconds\", \"duration\",\n", " \"comment\", \"report_date\", \"latitude\", \"longitude\"],\n", " parse_dates = [\"date\", \"report_date\"])\n", "\n", "# you might get a memory warning thing, its just not deprecated correctly\n", "# try not to panic :D\n" ] }, { "cell_type": "code", "execution_count": 268, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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datecitystatecountryshapeduration_secondsdurationcommentreport_datelatitudelongitude
01949-10-10 20:30:00san marcostxuscylinder2700.045 minutesThis event took place in early fall around 194...2004-04-2729.883056-97.941111
11949-10-10 21:00:00lackland afbtxNaNlight7200.01-2 hrs1949 Lackland AFB&#44 TX. Lights racing acros...2005-12-1629.384210-98.581082
21955-10-10 17:00:00chester (uk/england)NaNgbcircle20.020 secondsGreen/Orange circular disc over Chester&#44 En...2008-01-2153.200000-2.916667
31956-10-10 21:00:00ednatxuscircle20.01/2 hourMy older brother and twin sister were leaving ...2004-01-1728.978333-96.645833
41960-10-10 20:00:00kaneohehiuslight900.015 minutesAS a Marine 1st Lt. flying an FJ4B fighter/att...2004-01-2221.418056-157.803611
51961-10-10 19:00:00bristoltnussphere300.05 minutesMy father is now 89 my brother 52 the girl wit...2007-04-2736.595000-82.188889
61965-10-10 21:00:00penarth (uk/wales)NaNgbcircle180.0about 3 minspenarth uk circle 3mins stayed 30ft above m...2006-02-1451.434722-3.180000
71965-10-10 23:45:00norwalkctusdisk1200.020 minutesA bright orange color changing to reddish colo...1999-10-0241.117500-73.408333
81966-10-10 20:00:00pell cityalusdisk180.03 minutesStrobe Lighted disk shape object observed clos...2009-03-1933.586111-86.286111
91966-10-10 21:00:00live oakflusdisk120.0several minutesSaucer zaps energy from powerline as my pregna...2005-05-1130.294722-82.984167
101968-10-10 13:00:00hawthornecauscircle300.05 min.ROUND &#44 ORANGE &#44 WITH WHAT I WOULD SAY W...2003-10-3133.916389-118.351667
111968-10-10 19:00:00brevardncusfireball180.03 minutessilent red /orange mass of energy floated by t...2008-06-1235.233333-82.734444
121970-10-10 16:00:00bellmorenyusdisk1800.030 min.silver disc seen by family and neighbors2000-05-1140.668611-73.527500
131970-10-10 19:00:00manchesterkyusunknown180.03 minutesSlow moving&#44 silent craft accelerated at an...2008-02-1437.153611-83.761944
141971-10-10 21:00:00lexingtonncusoval30.030 secondsgreen oval shaped light over my local church&#...2010-02-1435.823889-80.253611
151972-10-10 19:00:00harlan countykyuscircle1200.020minutesOn october 10&#44 1972 myself&#44my 5yrs.daugh...2005-09-1536.843056-83.321944
161972-10-10 22:30:00west bloomfieldmiusdisk120.02 minutesThe UFO was so close&#44 my battery in the car...2007-08-1442.537778-83.233056
171973-10-10 19:00:00nianticctusdisk1800.020-30 minOh&#44 what a night &#33 Two (2) saucer-shape...2003-09-2441.325278-72.193611
181973-10-10 23:00:00bermuda nasNaNNaNlight20.020 sec.saw fast moving blip on the radar scope thin w...2002-01-1132.364167-64.678611
191974-10-10 19:30:00hudsonmausother2700.045 minutesNot sure of the eact month or year of this sig...1999-08-1042.391667-71.566667
201974-10-10 21:30:00cardiff (uk/wales)NaNgbdisk1200.020 minutesback in 1974 I was 19 at the time and lived i...2007-02-0151.500000-3.200000
211974-10-10 23:00:00hudsonksuslight1200.0one hour?The light chased us.2004-07-2538.105556-98.659722
221975-10-10 17:00:00north charlestonscuslight360.05-6 minutesSeveral Flashing UFO lights over Charleston Na...2008-02-1432.854444-79.975000
231976-10-10 20:30:00washougalwausoval60.01 minuteThree extremely large lights hanging above nea...2014-02-0745.582778-122.352222
241976-10-10 22:00:00stoke mandeville (uk/england)NaNgbcigar3.03 secondsWhite object over Buckinghamshire UK.2009-12-1251.783333-0.783333
251977-10-10 12:00:00san antoniotxusother30.030 secondsi was about six or seven and my family and me ...2005-02-2429.423889-98.493333
261977-10-10 22:00:00louisvillekyuslight30.0approx: 30 secondsHBCCUFO CANADIAN REPORT: Pilot Sighting Of Un...2004-03-1738.254167-85.759444
271978-10-10 02:00:00elmontnyusrectangle300.05minA memory I will never forget that happened men...2007-02-0140.700833-73.713333
281979-10-10 00:00:00poughkeepsienyuschevron900.015 minutes1/4 moon-like&#44 its &#39chord&#39 or flat s...2005-04-1641.700278-73.921389
291979-10-10 22:00:00saddle lake (canada)abNaNtriangle270.04.5 or more min.Lights far above&#44 that glance; then flee f...2005-01-1953.970571-111.689885
....................................
803022012-09-09 20:00:00wilsonncuslight10800.03 hoursBright orb being chased by a jet along with se...2012-09-2435.721111-77.915833
803032012-09-09 20:10:00elmontnyuscircle600.010 minutesOrange lights seen in Elmont&#44 Long Island&#...2012-09-2440.700833-73.713333
803042012-09-09 20:30:00mt. juliettnuslight120.02 minutesBright white light moving slowly across sky wi...2012-09-2436.200000-86.518611
803052012-09-09 20:30:00venturacauschevron900.015 minutesBeautiful bright blue delta shaped aerobatics.2012-09-2434.278333-119.292222
803062012-09-09 20:52:00south jordanutuscircle10.010 secondsCircular disk with blinking lights scares two ...2012-09-2440.562222-111.928889
803072012-09-09 21:00:00elkhartinusoval600.010 minutesIt was the night of sept 9 between 9 and 10 pm...2012-09-2441.681944-85.976667
803082012-09-09 21:00:00new york city (brooklyn)nyuslight1290.021:30Glowing&#44 circular lights visible in the clo...2012-09-2440.714167-74.006389
803092012-09-09 21:00:00pawleys islandscusoval60.0less than a minuteOne large bright orange flanked by three small...2012-09-2433.433056-79.121667
803102012-09-09 21:00:00venturacauscircle300.05 minutesBright Blue Object seen floating in sky near C...2012-09-2434.278333-119.292222
803112012-09-09 21:55:00charlestonscusflash900.015 minutesOrb of light flashing reds and blues&#44 stati...2012-09-2432.776389-79.931111
803122012-09-09 23:00:00gainesvillegauslight5.05 secondsBall of light2012-09-2434.297778-83.824167
803132013-09-09 00:15:00norfolkvausunknown1.0split secondTwo or three lights shoot across sky over nava...2013-09-3036.846667-76.285556
803142013-09-09 01:50:00buffalo (west of; on highway 90 west)nyustriangle180.03 minutesMassive Flat Black triangle with 3 red lights.2013-09-3042.886389-78.878611
803152013-09-09 03:00:00struthersohusunknown120.02 minutesI saw a routaing line of stares that seemed to...2013-09-0941.052500-80.608056
803162013-09-09 09:51:00san diegocauslight4.0~4 seconds2 white lights zig-zag over Qualcomm Stadium (...2013-09-3032.715278-117.156389
803172013-09-09 12:34:00cedar parktxuscigar8.05-8 secondsCigar Shaped Object Descending in the Directio...2013-09-0930.505000-97.820000
803182013-09-09 13:10:00calmar (canada)abcaunknown90.045-90 secondsFastest dot I have ever seen in the sky&#332013-09-0953.250000-113.783333
803192013-09-09 20:15:00cliftonnjNaNother3600.0~1hr+Luminous line seen in New Jersey sky.2013-09-3040.858433-74.163755
803202013-09-09 20:20:00tuscaloosaalusfireball60.01:00White/green object much larger than "shoo...2013-09-3033.209722-87.569167
803212013-09-09 20:21:00clarksvilletnusfireball3.03 secondsGreen fireball like object shooting across the...2013-09-3036.529722-87.359444
803222013-09-09 21:00:00aleksandrow (poland)NaNNaNlight15.015 secondsTwo points of light following one another in a...2013-09-3050.46584322.891814
803232013-09-09 21:00:00gainesvilleflustriangle60.01 minuteThree lights in the sky that didn&#39t look li...2013-09-3029.651389-82.325000
803242013-09-09 21:00:00hamstead (hollyridge)ncNaNlight120.02 minutes8 to ten lights bright orange in color large t...2013-09-3034.367594-77.710548
803252013-09-09 21:00:00milton (canada)oncafireball180.03 minutesMassive Bright Orange Fireball in Sky2013-09-3046.300000-63.216667
803262013-09-09 21:00:00woodstockgaussphere20.020 secondsDriving 575 at 21:00 hrs saw a white and green...2013-09-3034.101389-84.519444
803272013-09-09 21:15:00nashvilletnuslight600.010 minutesRound from the distance/slowly changing colors...2013-09-3036.165833-86.784444
803282013-09-09 22:00:00boiseiduscircle1200.020 minutesBoise&#44 ID&#44 spherical&#44 20 min&#44 10 r...2013-09-3043.613611-116.202500
803292013-09-09 22:00:00napacausother1200.0hourNapa UFO&#442013-09-3038.297222-122.284444
803302013-09-09 22:20:00viennavauscircle5.05 secondsSaw a five gold lit cicular craft moving fastl...2013-09-3038.901111-77.265556
803312013-09-09 23:00:00edmondokuscigar1020.017 minutes2 witnesses 2 miles apart&#44 Red & White...2013-09-3035.652778-97.477778
\n", "

80332 rows × 11 columns

\n", "
" ], "text/plain": [ " date city state \\\n", "0 1949-10-10 20:30:00 san marcos tx \n", "1 1949-10-10 21:00:00 lackland afb tx \n", "2 1955-10-10 17:00:00 chester (uk/england) NaN \n", "3 1956-10-10 21:00:00 edna tx \n", "4 1960-10-10 20:00:00 kaneohe hi \n", "5 1961-10-10 19:00:00 bristol tn \n", "6 1965-10-10 21:00:00 penarth (uk/wales) NaN \n", "7 1965-10-10 23:45:00 norwalk ct \n", "8 1966-10-10 20:00:00 pell city al \n", "9 1966-10-10 21:00:00 live oak fl \n", "10 1968-10-10 13:00:00 hawthorne ca \n", "11 1968-10-10 19:00:00 brevard nc \n", "12 1970-10-10 16:00:00 bellmore ny \n", "13 1970-10-10 19:00:00 manchester ky \n", "14 1971-10-10 21:00:00 lexington nc \n", "15 1972-10-10 19:00:00 harlan county ky \n", "16 1972-10-10 22:30:00 west bloomfield mi \n", "17 1973-10-10 19:00:00 niantic ct \n", "18 1973-10-10 23:00:00 bermuda nas NaN \n", "19 1974-10-10 19:30:00 hudson ma \n", "20 1974-10-10 21:30:00 cardiff (uk/wales) NaN \n", "21 1974-10-10 23:00:00 hudson ks \n", "22 1975-10-10 17:00:00 north charleston sc \n", "23 1976-10-10 20:30:00 washougal wa \n", "24 1976-10-10 22:00:00 stoke mandeville (uk/england) NaN \n", "25 1977-10-10 12:00:00 san antonio tx \n", "26 1977-10-10 22:00:00 louisville ky \n", "27 1978-10-10 02:00:00 elmont ny \n", "28 1979-10-10 00:00:00 poughkeepsie ny \n", "29 1979-10-10 22:00:00 saddle lake (canada) ab \n", "... ... ... ... \n", "80302 2012-09-09 20:00:00 wilson nc \n", "80303 2012-09-09 20:10:00 elmont ny \n", "80304 2012-09-09 20:30:00 mt. juliet tn \n", "80305 2012-09-09 20:30:00 ventura ca \n", "80306 2012-09-09 20:52:00 south jordan ut \n", "80307 2012-09-09 21:00:00 elkhart in \n", "80308 2012-09-09 21:00:00 new york city (brooklyn) ny \n", "80309 2012-09-09 21:00:00 pawleys island sc \n", "80310 2012-09-09 21:00:00 ventura ca \n", "80311 2012-09-09 21:55:00 charleston sc \n", "80312 2012-09-09 23:00:00 gainesville ga \n", "80313 2013-09-09 00:15:00 norfolk va \n", "80314 2013-09-09 01:50:00 buffalo (west of; on highway 90 west) ny \n", "80315 2013-09-09 03:00:00 struthers oh \n", "80316 2013-09-09 09:51:00 san diego ca \n", "80317 2013-09-09 12:34:00 cedar park tx \n", "80318 2013-09-09 13:10:00 calmar (canada) ab \n", "80319 2013-09-09 20:15:00 clifton nj \n", "80320 2013-09-09 20:20:00 tuscaloosa al \n", "80321 2013-09-09 20:21:00 clarksville tn \n", "80322 2013-09-09 21:00:00 aleksandrow (poland) NaN \n", "80323 2013-09-09 21:00:00 gainesville fl \n", "80324 2013-09-09 21:00:00 hamstead (hollyridge) nc \n", "80325 2013-09-09 21:00:00 milton (canada) on \n", "80326 2013-09-09 21:00:00 woodstock ga \n", "80327 2013-09-09 21:15:00 nashville tn \n", "80328 2013-09-09 22:00:00 boise id \n", "80329 2013-09-09 22:00:00 napa ca \n", "80330 2013-09-09 22:20:00 vienna va \n", "80331 2013-09-09 23:00:00 edmond ok \n", "\n", " country shape duration_seconds duration \\\n", "0 us cylinder 2700.0 45 minutes \n", "1 NaN light 7200.0 1-2 hrs \n", "2 gb circle 20.0 20 seconds \n", "3 us circle 20.0 1/2 hour \n", "4 us light 900.0 15 minutes \n", "5 us sphere 300.0 5 minutes \n", "6 gb circle 180.0 about 3 mins \n", "7 us disk 1200.0 20 minutes \n", "8 us disk 180.0 3 minutes \n", "9 us disk 120.0 several minutes \n", "10 us circle 300.0 5 min. \n", "11 us fireball 180.0 3 minutes \n", "12 us disk 1800.0 30 min. \n", "13 us unknown 180.0 3 minutes \n", "14 us oval 30.0 30 seconds \n", "15 us circle 1200.0 20minutes \n", "16 us disk 120.0 2 minutes \n", "17 us disk 1800.0 20-30 min \n", "18 NaN light 20.0 20 sec. \n", "19 us other 2700.0 45 minutes \n", "20 gb disk 1200.0 20 minutes \n", "21 us light 1200.0 one hour? \n", "22 us light 360.0 5-6 minutes \n", "23 us oval 60.0 1 minute \n", "24 gb cigar 3.0 3 seconds \n", "25 us other 30.0 30 seconds \n", "26 us light 30.0 approx: 30 seconds \n", "27 us rectangle 300.0 5min \n", "28 us chevron 900.0 15 minutes \n", "29 NaN triangle 270.0 4.5 or more min. \n", "... ... ... ... ... \n", "80302 us light 10800.0 3 hours \n", "80303 us circle 600.0 10 minutes \n", "80304 us light 120.0 2 minutes \n", "80305 us chevron 900.0 15 minutes \n", "80306 us circle 10.0 10 seconds \n", "80307 us oval 600.0 10 minutes \n", "80308 us light 1290.0 21:30 \n", "80309 us oval 60.0 less than a minute \n", "80310 us circle 300.0 5 minutes \n", "80311 us flash 900.0 15 minutes \n", "80312 us light 5.0 5 seconds \n", "80313 us unknown 1.0 split second \n", "80314 us triangle 180.0 3 minutes \n", "80315 us unknown 120.0 2 minutes \n", "80316 us light 4.0 ~4 seconds \n", "80317 us cigar 8.0 5-8 seconds \n", "80318 ca unknown 90.0 45-90 seconds \n", "80319 NaN other 3600.0 ~1hr+ \n", "80320 us fireball 60.0 1:00 \n", "80321 us fireball 3.0 3 seconds \n", "80322 NaN light 15.0 15 seconds \n", "80323 us triangle 60.0 1 minute \n", "80324 NaN light 120.0 2 minutes \n", "80325 ca fireball 180.0 3 minutes \n", "80326 us sphere 20.0 20 seconds \n", "80327 us light 600.0 10 minutes \n", "80328 us circle 1200.0 20 minutes \n", "80329 us other 1200.0 hour \n", "80330 us circle 5.0 5 seconds \n", "80331 us cigar 1020.0 17 minutes \n", "\n", " comment report_date \\\n", "0 This event took place in early fall around 194... 2004-04-27 \n", "1 1949 Lackland AFB, TX. Lights racing acros... 2005-12-16 \n", "2 Green/Orange circular disc over Chester, En... 2008-01-21 \n", "3 My older brother and twin sister were leaving ... 2004-01-17 \n", "4 AS a Marine 1st Lt. flying an FJ4B fighter/att... 2004-01-22 \n", "5 My father is now 89 my brother 52 the girl wit... 2007-04-27 \n", "6 penarth uk circle 3mins stayed 30ft above m... 2006-02-14 \n", "7 A bright orange color changing to reddish colo... 1999-10-02 \n", "8 Strobe Lighted disk shape object observed clos... 2009-03-19 \n", "9 Saucer zaps energy from powerline as my pregna... 2005-05-11 \n", "10 ROUND , ORANGE , WITH WHAT I WOULD SAY W... 2003-10-31 \n", "11 silent red /orange mass of energy floated by t... 2008-06-12 \n", "12 silver disc seen by family and neighbors 2000-05-11 \n", "13 Slow moving, silent craft accelerated at an... 2008-02-14 \n", "14 green oval shaped light over my local church&#... 2010-02-14 \n", "15 On october 10, 1972 myself,my 5yrs.daugh... 2005-09-15 \n", "16 The UFO was so close, my battery in the car... 2007-08-14 \n", "17 Oh, what a night ! Two (2) saucer-shape... 2003-09-24 \n", "18 saw fast moving blip on the radar scope thin w... 2002-01-11 \n", "19 Not sure of the eact month or year of this sig... 1999-08-10 \n", "20 back in 1974 I was 19 at the time and lived i... 2007-02-01 \n", "21 The light chased us. 2004-07-25 \n", "22 Several Flashing UFO lights over Charleston Na... 2008-02-14 \n", "23 Three extremely large lights hanging above nea... 2014-02-07 \n", "24 White object over Buckinghamshire UK. 2009-12-12 \n", "25 i was about six or seven and my family and me ... 2005-02-24 \n", "26 HBCCUFO CANADIAN REPORT: Pilot Sighting Of Un... 2004-03-17 \n", "27 A memory I will never forget that happened men... 2007-02-01 \n", "28 1/4 moon-like, its 'chord' or flat s... 2005-04-16 \n", "29 Lights far above, that glance; then flee f... 2005-01-19 \n", "... ... ... \n", "80302 Bright orb being chased by a jet along with se... 2012-09-24 \n", "80303 Orange lights seen in Elmont, Long Island&#... 2012-09-24 \n", "80304 Bright white light moving slowly across sky wi... 2012-09-24 \n", "80305 Beautiful bright blue delta shaped aerobatics. 2012-09-24 \n", "80306 Circular disk with blinking lights scares two ... 2012-09-24 \n", "80307 It was the night of sept 9 between 9 and 10 pm... 2012-09-24 \n", "80308 Glowing, circular lights visible in the clo... 2012-09-24 \n", "80309 One large bright orange flanked by three small... 2012-09-24 \n", "80310 Bright Blue Object seen floating in sky near C... 2012-09-24 \n", "80311 Orb of light flashing reds and blues, stati... 2012-09-24 \n", "80312 Ball of light 2012-09-24 \n", "80313 Two or three lights shoot across sky over nava... 2013-09-30 \n", "80314 Massive Flat Black triangle with 3 red lights. 2013-09-30 \n", "80315 I saw a routaing line of stares that seemed to... 2013-09-09 \n", "80316 2 white lights zig-zag over Qualcomm Stadium (... 2013-09-30 \n", "80317 Cigar Shaped Object Descending in the Directio... 2013-09-09 \n", "80318 Fastest dot I have ever seen in the sky! 2013-09-09 \n", "80319 Luminous line seen in New Jersey sky. 2013-09-30 \n", "80320 White/green object much larger than "shoo... 2013-09-30 \n", "80321 Green fireball like object shooting across the... 2013-09-30 \n", "80322 Two points of light following one another in a... 2013-09-30 \n", "80323 Three lights in the sky that didn't look li... 2013-09-30 \n", "80324 8 to ten lights bright orange in color large t... 2013-09-30 \n", "80325 Massive Bright Orange Fireball in Sky 2013-09-30 \n", "80326 Driving 575 at 21:00 hrs saw a white and green... 2013-09-30 \n", "80327 Round from the distance/slowly changing colors... 2013-09-30 \n", "80328 Boise, ID, spherical, 20 min, 10 r... 2013-09-30 \n", "80329 Napa UFO, 2013-09-30 \n", "80330 Saw a five gold lit cicular craft moving fastl... 2013-09-30 \n", "80331 2 witnesses 2 miles apart, Red & White... 2013-09-30 \n", "\n", " latitude longitude \n", "0 29.883056 -97.941111 \n", "1 29.384210 -98.581082 \n", "2 53.200000 -2.916667 \n", "3 28.978333 -96.645833 \n", "4 21.418056 -157.803611 \n", "5 36.595000 -82.188889 \n", "6 51.434722 -3.180000 \n", "7 41.117500 -73.408333 \n", "8 33.586111 -86.286111 \n", "9 30.294722 -82.984167 \n", "10 33.916389 -118.351667 \n", "11 35.233333 -82.734444 \n", "12 40.668611 -73.527500 \n", "13 37.153611 -83.761944 \n", "14 35.823889 -80.253611 \n", "15 36.843056 -83.321944 \n", "16 42.537778 -83.233056 \n", "17 41.325278 -72.193611 \n", "18 32.364167 -64.678611 \n", "19 42.391667 -71.566667 \n", "20 51.500000 -3.200000 \n", "21 38.105556 -98.659722 \n", "22 32.854444 -79.975000 \n", "23 45.582778 -122.352222 \n", "24 51.783333 -0.783333 \n", "25 29.423889 -98.493333 \n", "26 38.254167 -85.759444 \n", "27 40.700833 -73.713333 \n", "28 41.700278 -73.921389 \n", "29 53.970571 -111.689885 \n", "... ... ... \n", "80302 35.721111 -77.915833 \n", "80303 40.700833 -73.713333 \n", "80304 36.200000 -86.518611 \n", "80305 34.278333 -119.292222 \n", "80306 40.562222 -111.928889 \n", "80307 41.681944 -85.976667 \n", "80308 40.714167 -74.006389 \n", "80309 33.433056 -79.121667 \n", "80310 34.278333 -119.292222 \n", "80311 32.776389 -79.931111 \n", "80312 34.297778 -83.824167 \n", "80313 36.846667 -76.285556 \n", "80314 42.886389 -78.878611 \n", "80315 41.052500 -80.608056 \n", "80316 32.715278 -117.156389 \n", "80317 30.505000 -97.820000 \n", "80318 53.250000 -113.783333 \n", "80319 40.858433 -74.163755 \n", "80320 33.209722 -87.569167 \n", "80321 36.529722 -87.359444 \n", "80322 50.465843 22.891814 \n", "80323 29.651389 -82.325000 \n", "80324 34.367594 -77.710548 \n", "80325 46.300000 -63.216667 \n", "80326 34.101389 -84.519444 \n", "80327 36.165833 -86.784444 \n", "80328 43.613611 -116.202500 \n", "80329 38.297222 -122.284444 \n", "80330 38.901111 -77.265556 \n", "80331 35.652778 -97.477778 \n", "\n", "[80332 rows x 11 columns]" ] }, "execution_count": 268, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ufos" ] }, { "cell_type": "code", "execution_count": 272, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 272, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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N7KaYhKmUsKm0PRQNikDAmWbDlfZOG6+VRObAGGw96rlQhMSfnxmFwpLT+KJGuVT006MXyHggCA/BuJY6J1cvztgYAHtgyVFYA2AsgEIAP+Kcf9R1zGIAeQCehcWYeB3A3QDu4pxf0/Ae0QDMZrMZ0dHRXvk97HFVWU9OvbkN4wuKFVdLA2N7YHfeJE3XKq9rsYr89Ivugez8YsVjJ9/VH+8+M1q4782tVVi5Q9xbYINdQyI59eY24XvuXZKLxJhIFB1vQHHVReSm98NdA2IwoaDYIWyyfn42Hntnj812BmDGiERsOFwPDtdFneTvL3ltCPeoN7c5/B2VkN87SveKu7w8fSg+3m9CdaOyBPebj2fqMh5ERisZskSwcfnyZcTExABADOdcs2vQq54HzvkBxthjsOQp/AoW4+D/SYZDF8sARAH4E4BYALsATNFiOPgDV5X17KlpanXqZv3++FTN15InrZXXKa+8AGDbsQt4+Pc7sfHF+6zbpAfi09kpqPmq1aGteJ9eEWi6Yo0Uoeh4AzYeqcfgvlF4fFQSfr1BXL756oZKXLzSbhXt+WhfHe7o10uYsFl0/KLDdg7gk8M3o1muyFLPfGe3zftnJcdi/fwJms4llNGj2WDvtVo6K9PjYlGnm644NRwkQTc1pO9CxVmztWeMZLQCMJw6KUH4C6/LU3PONwLY6GQ/h8Ww+JW3x+IJnCnryY0HtRWKs8qF+KhumJeT5tHxyak8fxkFm48hqsct+KL6K+zuilWHMWDx1HQH46HpSjvmflCGcAZE9+iGFlkr8uWffoket4jzTnZVN+HKddsuiF9eFJel/r74lOq4AX06CEXHGxzUBg+aLqHoeAN5INwkKiJc87H2wlHysNmRs5eQv6XK7fF8tE85EXN6ZgJWfneU6jWUwjCd3CKDDdn3lfqrEKEO9bbQiRZlPS0iTPaVCwCQEh+Jp8eluGw4OBufPX8sqXHYJuUrKNHBYWM4SFz7RryEtDcc5DgraXWGnkqO4ipxF9EdJxrJeHCD1QdMuhpazVi5B7UFtvLoUt5MdtqtuNHZid9uO6lrDAzAk6Nvw2oNAmtbKy+gXkUgSk06uxNwuGGDqb8KQejF670tgg0p2VGOXFlPj+Tw7DHJ2JU3EavmjcPeJbn4fFGuW4aD0viMiCuGAwPwg3tTNR+fmy7uIvrAkL4uvDsBWO5vvZ0wAWDIS8ry7EMT9Ou8cQBrNCqzWsJizpM01cIwYUDQ9lchCFcgz4MLLH9yBJ7JThF2ItQrOeyNMj1pfBsOn8dfdtd69Nr+4o5+vXDq4hUU7qzBe7tqNK3WJg1NQFaybYfFrORYj3odQs39/MqGSpfOE8k1SImsNzpcS37Qc9YvPzmKQ6ZLionNzsKIUjkzALcFvQJZkpwg5JDx4CJKynpG6Z8gjc/cdsNtNUsjIM+VUIs3yyf09fMnoOh4A3acaLTRyBAdS+5n59Sb2/DpMXEoSAupeZtQWzAdr26oxAdfnPF5jwtnic0iAbRFU4fg7oGxNuJdwdZfhSBcxaulmr7AH6Waaqw+YHJYofhrUvFWaZwRWPGdkYjvFWEz8csndAYgb2o6nrtfHApyZ/IXlSqGM4ZdeRODdgW5p7oJTxXu8/cw3OLl6UMx977BivvrzW1eV/s00vOBIAxZqhmouOuKNpLkcE2TcvmaUZFCy87MWgbgxb8fspn4c+7saxNP5oAlk58Bz9nlkijFnrVmzyu5n8tqWxDfKzjDGPM/1K5malSctQwHfKP2aaTnA0G4ChkPdnjKFW0UyWF/tkF2FWmoUkVGOGN4dOQAfHLovEUCu2u7fOJfvK4C3cLFv+fSLVV4ZPgAm7+Hu7Fn0ecqMmiCZUVZWFKNS23f+HsYmgljwICYHjh76aZcjFrLcF9ilOcDYSHUcpc8ARkPMtxdjRoRUSx37r2p+NNOx1LN+J7d0HzVsRTTX3BYQhOjUuOQGBOJn00egtqmq/iq9Tqe//iQw/E3FHoodXLHLp/uxp7tP1eRQRPo946cTw4FVt7Mq48Mw/eyU23UV4cnxaGwpBqbK+oxLTPR7comIjgItdwlT0HGg4xgzYS2d5MCwJ931Tj8rkYyHCQWrjmMPr0iYG5rx4C4nlg8JR1t7fpWwEpGwdx7B+G9rs8hjEGYPe9sRSL/XEUGTTDcOxIjkmMVu7UakV9tOIqIW8Iwe0yy1duQ9fqnaO5qVX+ozow/fF6Ngy8/ZD2HVp+hRzAuGH0FGQ8ygjkT2t5Nai9QZVSud3CcM1uksU9eaNXVRRSAsKROpCRo/zHUm9vw/q4aFO6scdpXQ/pc681twjDG1XbjGWSu8HzuHU5VHI0Gh0UVUpoECkuqrYaDRHPrDRSWVGNeTlrArT7J0PEMwbpg9AUkEiVDckWHd7X5drWWOxCQBKr69Izw91C8woTB8Xjgjj6I7nELymRdRpWUBDluivWsPmDChIJi/KnLcABuShRvPHJeKOhz7LwZY+yS8TiAuR+U4Xvv7Qt4ESCpJ0Ug0QlLuAoANlfUC4/ZWtkQcMJN0v35VOE+TCgoxuoDJn8PKWCRFoxygmXB6G2oVFOAL8q1jEAwl3GGoUtSWMabj2fiUtsNvLFJWYL7sRED8En5eadNy+xXpv/29k5UnHNe4cQYUGDw1awW6s1t+OmqQ6g8b0ZHJ0ebgjS5UVgyLR3P5aShsKQabwik11+alo6EmB54YdVhh32r5o1DdtqtvhimZkKxRFhOeV0L9tc2Y2xqvKbkVy0emlAvnaVSTQ8SKpnQgVjGqRVRV42f/0NdVvmfh8+rX1sWF/3j9mpVwwGwhEUWy9zogUpiTCT+/uPxAIDl26rw9nZxC3ejsHRLFcYNise8nDT84XPb0EV8VDdER3bDv//d0XAwwupTNPEFkpvd06GVhWsO2wjezcoaqKgYCmhPhKTSWdegsEUIM6hPlL+HELB0cI5V+0344Iszus6bUBA8np6Fk9N1ddf0B50ceHTlHqw+YMLBlx/CS9PSMSo5Fi9NS8emF+8ThrDCIE6e9SVKoYlAcbN7OrRSXtfioJS77uA5lNe1CI/XG4qSmrSR4aAdMh5CmMSYSDw7LsXfwwhYfl+krY24nE4OLFrjuNINVI6+NgWPjRjg72E4RZ7PMi8nDSu+m4VhA2NQWtss1AV5+6mRfnVbO5v4AiEvS+vEXW9uw57qJk25Jftrm4XbS2vFxoMzDw3hGShsEeK8+mgGVh0wod3F5kSEfopPuN4fwogsmpqODeXnDS1EJk0cJScbbVzZ9q3hwxlDVop/haTUQhNGd7NrCa3orW4Zmxov3K6kGBrMlXNGgTwPBOboaHNNuE/uEHGr8EBFWg3bu9ONRBiAnhFhDitisJsPQaOs4rWEJozsZlcbvyvVLcOT4jAra6DNNmeKoYHgoQl0yPNA4PvjB+Hdzx0VJwnXCGdMUT8jnAHLnCR5BSqzxySjZ0S4sGrBCPwwZxBa2zscS3Q58OKk23FHv95WJVN/I1KFDaSJT6lDqZSg7WrS5/InR+CZ7BQbxVBnGN1DE+iQ8UDQl8rD7MqbaH1gHTtvxhubjqHx63ZMHZYQlIaDxOjUeMP2Uenbqzv2Vjc5hCkA4K2iU4YThgr0iU8+/iNnL2HplipriGLx1HSXQwrDk9SNBjmhUjnnD0jngQAApOZt8vcQgoKUuB74fPEkfw/Db8hr5kVaG0aGMWBPXq7iZBOMqo7e/p2UdCkWTRmCZVtPuKStEIx/B39COg8EYQBC2XAAgD69IvDg0L6I6RmB0alxmrQ1jALnwMEzLZh+t+OEFAjy1XonVV/8Tkohirtvi7Xx0Gk1AgLh7xAqkPFAEB4gFD0O9pPVzHd246DpknX/6tKzfhyda4gcsUZuniT9DSrOmW1CA2qTqq9+J2dVD3pDCkb+O4QiZDwQeHVDpb+HENDUFkz39xB8iqhp2DPZKTaGQyDCAIwSlP7pSfDzlktddF1RgzdA26TqK6VKTyZ/BpK6ZihAxgOBj/bpU0kkbhJqhsPqAybkra+wWaF3cuCDPYFzD83KGoixg+Idfo+CWZnCSUi0eg5jltJPOXpd6iKDQM1IkK6bc2dfoeEgoTap+lIHwVPJn6TdYCxI54FAeyBltRmIUDMc6s1tyFtXIXTtB0ra9QN33IrlT47A7DHJmJqRYLNvf41YxdBeMwCwTGCPvbPHKrusV7tAJN8s2qZ0XSV1TAm1SdXXOgie0KXw9Jj1KFwSjvjM88AYywOQD+Atzvn/69rWA8ByAN8G0B3ANgDzOecXfDUuglBj75JcHDzTAs5hGC0Af1B2piVgjAQldnz5FYb9ais+nncPNlc02Oxbd/AcnslOEZYCzh6TjPSE3pixco91mzw8oDe0YW8QLFlXAchW1dK13/rOCOF1wxhTLIvVOqkGYjmop8ZMiZfu4xPjgTE2BsBzAI7Y7fovANMBPAHADGAFgPUAJvhiXISFtD49UU2a74okxkQKM/BDjb3VTR693g8mpKJX93D8vti3nTlb2zuwbKu4LXtpbQuGJ8UJwwc/W2v/+LppIPxm03GHfUqrf5Gh0Qk4uG86OAe6Jjd7V31WSpyjENOUIbj7tlhdk6pRdBCWb6vClsoGTM1IwMLJ6U5zR9wdMyVeegavGw+MsV4APgIwD8AvZdtjAMwF8BTnvLhr2xwAxxlj4zjnX3h7bISFD+eNQ3Z+8HR7JLzD7i8bPXq9eTmDAcDnxgMA7K0WhyhGp8YJV6V9ekXgy4tXHI5nAM62tKLyvGN5/Peyk7XnUHRdzN6oOGduU0w4DETPgYhhv9qK1vYOAMDb26vxx5LT6OjkXvMKUOKlZ/BFzsNKAJs455/ZbR8FoBsA63bOeRUAE4BspYsxxrozxqKlHwC9vTDmkEKSjSUcCcS8Bm/Fci9f6/Do9Y6dNwOwTMC+RpTmMyo5Fv2iewhXpRuP1Auvc8+geByuE1eZdCgkJYhi9/mzMrF4SrrDscu2nEDOnX2xK28iVs0bh115E20mUqP2uNB6Dy7fVmU1HCRudHBdfS/0EihtzY2OVz0PjLFvA8gCMEawOwFAO+fc/pt3oWufEksAvOKZERKA5ctEOBKIhoN81cwYkDc1HY8MH+B2+WC9uQ3NV294dKw7TjQiMuIWw+RRxEdFKK5Kb+/XS3hOj25hiO8ZIdz3wJC+iu8l8hrsEYSFpBWxEQ0EJfTkE2ypbBBul+Npr0Cg9w4xCl4zHhhjSQDeAvAg5/yaBy+dD+B3ste9AQSeGo2BoC/NTVLie+DzRYEp9mQfy+UcyN9chfzNlvi+Oy7gt4tPenKoACyTq8iFL2JCWjz69u6BTw6f9/g4JB4a1l9xPLeEhSErOdZBy2LHySbsONmEqIhwmxV0VnIsJg11tgZyjN0HQymi3nyCqRkJeHu787CV0mfw/IdlKDnViJzb+2LF06N0jTPnzr546zsjgBBPgnYHb4YtRgHoB+AgY+wbxtg3AO4H8GLX/y8AiGCMxdqd1x+AojnKOb/OOb8s/QD42kvjDyn69erm7yEYgkA1HABxLFeOOy7gI3WaJe81IU2u9i58pRDG7upmbDh8HkumpuPnk+90+/3jIm3v9369u+PeOywT3OKpgvDB1hNY+d0svPfsKDxwZx+H/a3tHXhhYhq+Ny4Z7z07Cuvn68/5DoY20s7yCUQsnJyOyG7K05DSZzAobxM2Vjbg8rUObKxswCAdvXmkktjnPz6EF/9+CCUnPZvLEyp403goApAJYITspxSW5Enp/zcAWJ/WjLEhAJIB7PXiuAgBPxfEW0ONQAxTyBnUJwpMJYHA2YPcGTNGDHBxVI68NC0dK7+bZY2Jzx6TjF15E/GjnEFOQxgcQMGWKszMug0T0uLdGkNL2w2MTo7F0ARLytTFr69jQkEx3txaBdNXjjlA0uc2aWgCBsaJJ/Nzl9owNTMRAFC4sxrldS2K76+UEyB9FqL8BiOglsvgSj7B8denIjf9ZognDMCSaemKn8HzH5Y53Ce8a7vauJdvq8Liddr1OAhlvBa24Jx/DcBG95gx1grgK855Zdfr9wD8jjHWDOAygLcB7KVKC9/zxOjkgGpiFCqU17Vgf20zxqbGq7YiToyJRN7UdGuYQoRXGfX+AAAgAElEQVSrbvB5OWlYuf0ULrV9o/tcObOyBiI6spu106JcMfHPO2tUz+cAympbcGdCNHYrVExopdQuBNHJgZU7xC50+eeWm94PH+2rczhm/aHzWH/INqwyK2sgltu1YVfLCTBK+aQ9WnIZXM0nmDwsATtONFomdQbERnZDdtqtwmOLT4hlgIqqxNuVZLwlqNLCNfytMPlTABsBrANQAku4YqZfRxTCBPrK2x2M+LsvXHMYM1buwRubqjBj5R4sXHNY9ZznctKwZGq69YvN2M1QgLtu8Hd0xpXl9LiFYcOC8fjZ5CHCmHjZmRbVvAcJxoBHPegJUUP+udWb2xAZcQsyB0RrOnfdwXM2Hgi9SpRGQc+49XpP9H4mvbqLQ6xt33Cr4qfStZWwlxon1PFpbwvO+QN2r68BWND1QxB+o7yuRXVl70vK61qw7uA5m23OFBDlPHd/Gh4ZMcCayQ/AI1oA7lTlVP3nNADAnuomhZi49nLh93fVYEhib4wfHI89p93zPqjBAKyfn43hSXF49/NqFGypsjYDezY7BV9fu+HgbbBnwYcHsWuJJTrrqsZAYUk1NlfUY1pmIublpLn5W+lH77j1eE/0qnM2XmlXvNbidRU2yZmfHb+gySj99YZK/PP5+zSNl7BAjbEIAsCc9/fj4K8m+3sYVvbXiidFSQFRDfuHtydcsokxkVg6KxOL12kLbzEA0zMSbDLhlSoK2ju0N1gpNV2yhhyG9O+FO/r3wsYj6iV/rsABXG3vxLsl1cjfcjMc1MmBD78wYfaY21SvUX/5ZrGZ3oqKwhKLwdLRdfyhOjNWbD+FPzw9ymrMeaOLpz3erATRc+2aplbV0t6V279Eyq1R2HPqK2w/oS0Z8sg5zyYEhwLkqyFsMKL73hc0X3Uvlu9pxqaKEwJHC1pG+5LZY5Kxd0kufnz/IKfHfT87BTUF0x1K6JQqCial93NpPCcuXMFjIwfixUm3azr+1p76qoqk7pkFWxzzSDo4x8f7HXMf7BmZdLOgTE9FRdbrn+KNzTcNBwlz2zd4qnAfsvOLkZ1v20jLW3izEkTPtbUkBX/4RR3e2FSl2XAAgIhb/CFVFtiQ54FwYE52Ct7fGzgtlj1BmsFq6YcnxWFW1kCb0MWsrIGGCK2UnGzEuyXOkxufe0DZtS4SSHJn4ttxohGPj7oNvy86Jdz/5uOZuNz2DUanxuF77+3Tde0f3jsYre0dwk6iWvmHXdmmFlnpwpJqNLdqF+XyRX8Gb8pha722lqRgV/jhvYM9er1QgIwHwoFXZmSEnPFQ9LOJTve/uqES245dwOS7+uOVGRk+GdPyJ0fgmewUlNa2YHRqnNcNBy2VHVICmtpkqhbDl4dVpGuKCGPA2NRYnLzQiqEJvbFbkOPwwJC+QmMLsBhcT4y+mbCXc3tfbNSgaghY3LJz7k3FxnL9wlThzOJxsDccJNRyAjZXiOWwneGLqgFvVoJovfZzOWkAB5ZuqRLKjOslKiIcCydTqbpeGHfHpDYAXf0tzGazGdHR2jKgCW2k6hBeCVTS+vRUNRzufGkz2mW+44hwhpNvTPP20HzKwjWHHbwc9iWGgCXh8alC56t3BmDPklzNk4zaNVfNG2ct25v5zm4blces5FgbQabyuhZsOHwenAOPjhwgNIIG5W3SJIm9dJalFPHegiKcvaRPJJcBKJiVaW3XrSUnQd5JcmP5ebzhwup6ZHIMnp94u6q6ZSCgZszWm9tQ23QVH+6rxSadOS8MQL/eEXhydFLIGw6XL19GTEwMAMR0CS9qgjwPhCK1BdOD2oDQkt/x6oZKG8MBANo7OF7dUOkzD4S30VPZoUVOumBWpq7VqbNr2ifOrZ8/AUXHG7DjRCMeGNLXYZIcnuTcQ1NvbsNH8+7BeyWnUeQkJj4sobe1xPDKNef5MAwO3bTBYcn8l/apSYOLNBTio7rZhC7CGRDXsxuanIQzDpnMmPtBmYNR5S+ctdZ2hr0xmxTXAzsX26q/Sp6KXaeU/44T0/sinAFnm9swa9RteHj4gIDvQmoUyHggnBKsBoTWxNBtx8TCM/93/ELQGA96KjsSYyKxeEq6TeUBYJlAfzb5TszMuk33Q9leWEhClDgn6SzMn3i77vexaRqmcuydiTcbYT02cqBiGG/BxDTc+KYThTtrhN4MaZuznAQlnYNdeROxsfw8tlY2YEpGAublpKG8rgUzVu5R/V0Pmi6h6HiDTz0QckMBsJTUSp+Lnr4qImO2ruUaBi/ZhNP5tt/benMb/iAQ9kqI7o53vzdKaEiS0eAZyHggVAk2A0JPRcnku/oLJ44Hh/b35JD8it7KjszbYhy2cQBZyfEuP5jlCXM9I8Jwtb3TYXWop1ujPQ5Nw1SOP2i6Kez0yowMfLTf5OCBmpaRgD/sqLZ2MFW7qFJOgjOdg3k5aTa6Dlt05ELsONHoM+NBZJjJfyU9CZ2fHDon3N7JgUVrDmOZLJym1M/l4uXr6BfdQ+dvQeiBSjUJTQRLCafe3+OVGRmICLddp0aEs6DxOgA3KzvkOKvscKV/gRYSYyKRnXYrhifFObSgdleZUa1pmD3xPbvbvD75xjTMyU5BYnR3TBnWDxsWjMfWow02HUwZnD9QwwDhZ6T181x9wIQ/qlS5yPnwC/UKFrVeFVoQGWaij1p7XxVlv1DxiYs2r5VKNzsBl3q4ENoh44HQTLAYEHqRJo7bYntgTnZK0CVLApbKjg0LxuPl6UOxYcF4LH9yhOLE4o/uj3q7NdqjVx3z+VxH3YhXZmRg7y++hT9+bwxa2zscxsMBfHtsEp66J0l4zcVT0xXVGNU+T2cVKUpwWEo+lZC6S7qrE6HVMNNqYN57h7inBQDkDrHVA5FKN119L8J1KGxB6KK2YDqWb6vCtqMNaLh8DZevdfh7SD7hlRkZQeVtECF5GvbXNuPTYxesLnlRiMCbNf8i3FU4TIyJxFNjkzSJOqX16anq7lcyRlbtrxOuhJ+fmIbn7tenfSFHr+dEYmtlg1DOWsmT44pOhJYk2jBAs4EZGSGelsIYbEIWEvalm4HYyjwQIeOB0M3Cyen41l39NSVuEYHDnPf3C1X5lCYWX3Z/dLVbo5wXJt2BVfvrVPMdnronRfVav1TwAnBAqIEx4fa+jhvtcPZ5apmgRUzJcDSC1paa8PE+k0s9NkTY/20YADDL5xDGLAJMc+5N1Xxdpd91d16u4jn2/VzIcPA+ZDwQLqGUoS+nf+8IXPhauYkNYRzm/FVsOEgYoW2xu96OxJhIFMzKVO2yqEUCfO/prxT3eaMHhMh4WjRlCCrOXdLV1yNnWTFMzeL8BtE4tZZa2v9tANebsblqKBq1lXmwQsYD4RJKGfpyjGg4pOZtCtncDSXK61qwvcp5HwCjxJDdnSCkSW7Z1ir8U9ANc2hCL01KntmDbxXqRPTt1Q139Ott0+3z0ZEDPDKpiYyn325zLiT18T4TuncLQ3xUd9RfanNqONhP0HqrWzzZjM3XYTFCP5QwSbiEKEPfHyTHR6K2YDoGxnRXP5gQouZFYkx7vNrbeKI6IDEmEiOTY4X7tIQsAOC9OWOF2xuv3HBoE/7JofNujVeOVJGSGBOJenMbVgo0DuTUfHUVv9pwDM9/fEhRsXJUcix25U1EekJvFO6sRtHxBvyr/Jxb1S3uIP2NAThU3ciZ+/5+pP9yMx5bscsn4yJsIc8D4TJS74WP95uw+sBZTefE9+yGtL69kBDbHf8q1+Zu7R4OnHjD4i1YtOYwNlfUo1fPW7DwwSHWvgW7l3wrqLQofImaF+nPz4wyhNyxOzoP9jx4VwJ+teGYw/Zv3aVdv6O2YDrmvr8fu0814Zp960sZHZxj1b4zuDMhGqNS4jxmhNU0tbrVsEvi22OT8NttJxyEmezxRehK699Y/l0/dNaM7Pxiq5w44RuotwXhEex7DsiZNiwBNzo70dzajjKFY5QYnazcXMgercbDwxkJGJ4S67QBVKhhLwcsodTjwtfUm9swoaDYIZdgV95Elyez1QdMyFtXAY6bvShcmXyWf1qFt4udewAk9LzP8x+WoeRUI3Ju7+vQ2hywfCbZ+cV6h2tDcnwk3v7OSE3Jz+5+3mqI/sYAcO/tt2LGiAHWhcLc9/crSovv1dFThbBAvS0IvyL1HFi5/RQOmsw2+7YebcDSxzPx83/oq1MHgPKz+owNLWysbLB2VjTK5OhvJC/ShsPn0XjlGvpE9VBsLOUPnOk8eELV0pW4utS4qf0b7b0dOYAl6ytUSyLlzbs2VjZgU94m1Njl6iTGROL741Pw1z2OCqjOBC+TYnsgPTEaDw3rjydGJ6Nwp7rh4y8tDwDYdeor7Dr1Fd4uPoWSRblOk1X9ndQbSpDxQHiMSUMTEBlxi0OHxE7AJcMBAIbfJo5Ni3BFRlupAVQootZUyp+4q/MgQt61UT7haOnmuOgfR7DzyyaX3reTO5/knv+wTNho6/kPy7Di6VE2FRDP3Z8mNB6+MzZJsSy17tI1rPhulvV3UwtbMQCLpg7xekggKiLc6X5TcxvWlpoUk1UBsYIn4R3IeCA8SlREuNNVj160hiwkwgHola0SNYAijIUndB7kKLUgV2tNvvqACYvXuWYIy2m6cg315jbh+HecFE+Mn1VdwLsl1RYxJKuGwiDhsWpiWGvLzqJfdA8kxkSq3vscwLItJ/DIcM9UjSjR2q7+zf306AW8N2escJGwVGc3V8I9yHggPIaU7OQpw8GVkkpX9C611PUT/sdT5XtKLcjHDY532ppcTSJ69ujbsLpUW+LwC6sOKyYEZgyIxhe1LQ7nXPuGI19WMdHJgcKdNS6JR334hQkf7TNh/gNpWHtAXXXTG8mS9hoSWoSwHhpmSWi1JquebsLQ/tF453ujyHDwMWQ8+IDyuhY8+cc9uN4BxPYIx+FfT/H3kDyOvdytM34wIRUzRgzAkbNmvLzhqMP+5NgeKMmb5NI4IhjQruNB6qwBFGE8PCEEpFSauu2ouP265JlSk4h+6p5kfNPJVasWJJSUO//rOyM1J0JyAD27hTtdtY9IisHhOrPDds6Bldu1JXqGMc+GBOw9OFKlhKg1u0RyfKQ1aRJQLpclfAMZD17G3g166VoHUvM2BV1WsB7t/V7db8Hf9p5RfMjWXbqG1QdMumOs735erdlweDgzEfNyBllXlKW1zTB9dRXXvunAt4b2J4MiiFGK8U8e1h+fHb/osF3yTDlbGUtG6PKkODyTnYLS2hb8d9FJfK3S+0W0ok+MicTSWZmawyNq7n6R4aAXpaZerlBvbnP43RavsySR2nuXdn3ZiE+PXrAmdxLGgUo1vUh5XYtqCVSwqB16omxMjrOyMLm78978YnTAonam1Aq4T89b0Nz2DTq72ibPn5iGCbf3waA+USg52Wgt15NDVRjBjdachweG9MWE22+1Jk+uPmCy6eEw/e4EzLtvsKKxWVhSjQ+/OANTc5vw3lS7z4uOX8AvP3H0zvmKMFgMB2dNvfSS/Zv/Q/1lR/XZxOgI7P3Fgx57H0IbrpZqetV4YIwtATATQDqANgB7ACzmnJ+QHdMDwHIA3wbQHcA2APM552IfouN7GNZ4eKpwL/ZUq/eACBYDYsx//h8ar3hOknrVvHHITrNtzysXkdFCWFeDHtHhaomdGxaMJw9EEFNe14LS2haMTrWtMpG27z7VhGJZVr9kYNSb23TnXUjnHDl7Ccu2nrBJ+nTmYdtT3eRQveRtUuJ64O8/Hu81aWhnFVHB8iwMJIyq83A/gJUADnS9128AfMoYu4tz3tp1zH8BmA7gCQBmACsArAegL83egNQ1X9V0XLD0Wzjwywc9pvLI4BhjrTe3Cb0Ezvj22GR8vM8k3Kd2HarCCG6USlOlba9vOm6zXZ486UqzJ0laWk/3R1e7abpKVEQ4Pl9syTfyVlg1rU9PVDc5PhvTqMwyoPBqbwvO+RTO+V8550c55+UAvg8gGcAoAGCMxQCYC+A/OOfFnPMyAHMAjGeMjfPm2HzBoyO0934IFmnl2oLpSOvTEwyWh0GvCObSdUTPyrIzLZoNhzBYlC1NX7WqHqsEVWGELkpJlaWCKgi9yPtTaDk2f2Ymwplr3yOtDIjugRcmpuHoa95P5i762URd2/Xiif4nhDq+bowV0/Wv9M0cBaAbgM+kAzjnVQBMALJFF2CMdWeMRUs/AHp7cbxusXByuqrwiZxHfr/Ti6PxHUU/m4iaguko+tlEXNFT+mDH+7tqbV5rDbGtmjcOibE9sPloA3adUlajc0b/6O5obe+weQDRQyl0UEqq9IdBOXtMMnblTcSqeePw5uOZLl3j7oHOQ7pz7xuEhZPTNV3LE98D+0WGpzyvqw+YMKGgGE8V7sOEgmKsPiD2OhLu47NqC8ZYGID/BrCbc17ZtTkBQDvn3F6D+ELXPhFLALzinVF6nqOvTcHybVV4W0NJ1JHzmsNNAUOvCOayAVG48zTm3JtqXaGN1tAGfE52Cs62tOLcpWsO+2J7hON6B0fbDXU54QuXryvGmhmAPA8nkRHGQuoaa59U6a8wlhT2KK/Tv967e2A0KlWeLVqNInnOkZ7vgb2mA6DuaRCdo3a8qBOomhQ44Rq+9DysBJABS2KkO+TD4sGQfm5z83peZ+Hk9KDIaXCFytemuXwuB/Dvqw5ZXyfGRGLefWJFPQC4JQx4ZUYGtlaKu3VeutahyXDQMq78LVV4t0RbjTwRmCx/cgQ2LBiPl6cPxYYF44XVN772Ri34sEz3OTE9I5zmTGg1iuwnZ63fA1e8Aa6c46z/CeF5fGI8MMZWAHgYwETOuVyCrQFABGPMvoFB/659DnDOr3POL0s/AL72yqC9QG3BdMT2UA5jRHf3dRTJN9QWTIeTX9sp+2tbUF53M8788N2JwuN6RjCc+o3FQJuSob19dBhTd+kqUbC5ikIYQc7wpDjMVSjF9IeL/Pzl6073j7wtxmGbqAdHGAP+Pfd2RaNIhJKWy9ItVfifL2rxr/JzDt8HJW+As++NK+cAN5NL5bjb/4RQxquzFbOwAsBjAHI55zV2h5QBuAFgkuycIbAkVe715tj8xZaf3q+478irU304Et+yfVGuwxdbK1KS2uoDJjz2jlg34/oNWB8uT4xORnK8Njfl7789EqNSXHNFcwBlHkigIwIPVyc4d8lKct4o7tBZsSDUw3cnWJMuwxlD/sxM/PShIZrDMOV1LdhbLW4E1smBlz85ihdWHcb4fFsjyhVvgKseBPvkUl90Ag1lvJ3zsBLAUwBmAPiaMSYtCc2c8zbOuZkx9h6A3zHGmgFcBvA2gL2c8y+8PDa/IFKP6x4GnPhNcIc1pC+2Ho0GidGpcary1/ZKfSWLcrG21IS/7K7B8foritcelRqHpPhIvC/oTKgFLyfBEwbFGy3CtfCP+RNcqsyad99gvDT9Lpe0G+yFs5zBASxZd7Pl+NFzjsaMmjdgUJ8oBw0WUem2CE/1PyHU8bbx8JOuf3fYbZ8D4K9d//8pLF2b10EmEuXlcfmVUL3BZ49JRnpCb1XVTTlSPPY3m46pGh1Hzl2yEZV6YnQynhidjJxlxTA1O64IpS58iTGRDslxWmAMyHLRa0EENt5oEa6VDQvG6/oOAUBVw9cu6VOImoip0QlLy/HZ7+51+N5p9QaIWpJrxRP9Twh1vK3zwBR+/io75hrnfAHnPJ5zHsU5n8k5F2e8BRF6ar2DieFJcVg6KxNaF+zTMhNQb27Dn3baR7wcWbblhNBtXLIoF28+nok7+vfEwJjuePqeJOxdkmuj7CdPjnvv2VFY+dRI3BrVTfG9whhQMDOwWgCrJfdRKap2/OkiH54Uh/SEXrrOcTWkoqR34QwGYOORc0KDPW/qENWeNW8XfSncTiFCY0GNsQifI3letOj27zjRiC9Oa3uAOXMbS14Iiec/LEPJqUbk3N4XK54eBcBRcXD63QNQdLwBmyvq0adXd9x9Wyxui4vE1fbOgPMYyUvsRK2gVx8wWdU7GYCCWY6toglb/OlBfPjuAahqOKn5eFdDKkp6F2p8tE/c5nt/TTPm5SiXdtab2/DxfvG5v/ykAg8PH+DSeAjPQ8YD4RcSYyLx9LhUdAsPcyo5ffdtMZq7CwLa4qKD8jZZ329jZQM25W1CjUIp7aShCZg0VFy9obcO3V+o1b/by35zAHmyuDWhjL9c5Cm36guPuBpSEeldZCXH4pDpkuJ31lmIIbansjcPsOSSKHGp7RusLTVRd02DEJy1gUTAMHtMMvYsycWqeeOQMcC2ZDIrORYD43rqSrDcWH7e6f7nPywTxlOf11k/Ly/Ty84vxrS3SlB03JjRNrXs9dLaZuFnQm5i4zI6NV5z6A+AWyEVe72L9fMnIDrStXXn2jLHck45g/pEOT3/rc/EIQ1PQaE77ZDxQPgdKf9j44v34b1nR+F745Lx3rOjsH7+BGHttjOUBKIkSk41Ot1eXteCwp3VNtoS9ogqP47Vf425H5Rh5ju7tQ/WR6jVvzOFkhGqJDEuiTGRKJiVaX2Aq/2p9HjvRMj1LgpLqmFu+8bla312TLlhcmJMJHo70bs5e+ma1yZ2krbWBxkPhKGYNDQBrz+aaQ0VJMZEYu69yqqS9qgJROXc3ldx+8I1hzFj5R68sakKM1buwU8UvBHv76pR9IYcNF0ynAdCLblvVEqcw+RDlSTGZ/aYZCyeZulHocU5N/f9/R5537/trXXr/KYrzoWuvj/e+ffdG4qR/tLtCGTIeCAMzw/uHaTJRRsf1c1pMhYArHh6lONECWDe/YMdStK2VDbgt9uqbLbVm9tQqFL5seOE2LvhT+TNlXblTbRJhrSuYrs+mECsJAlF6s1tKNhcpX5gF3tPu9Ykzv4961oc+8bY42xiyU3v5/RctQZdPSM8P22RtLV+yHggDI80udm3JQ5nDNMzEzAqORYvTUvHwZcf0nS9moLpeDgjAdE9wvFwRgJqCqYrlqSt3FFtXX3Um9uw8ch51VXeA0PE3g1/46w8ePaYZOzOs+Se7M7LpUqLAECUq+KM7MG3qh+kgrOERolwxnD/kL66cjLs6dlNeWp67J09Hg8pkLS1fqjagggI5GVxPSPChOWSy7dV4V/l5zEyORaLpg51unKWyjMllErSOAdylhYjKa4nar66qvqwzkqOVazOMDokrhNYKOWqKPHenLFuv6dIHEsijFnk3tcdOovtVcret9LaFlVZ7OzBt6JIwYPXyW1VLD2BFNr7xfpKdHBO0tYaIOOBCBicTW5DfrkZ17+xPNFqm9vwz8P1WKpDq6CqQbm/2o1O4PRX6u7LNx/PpDIywmfo6cmy4jsjPfKe9pOshDTZJsVHOjUcAG3tv9+bM9apDHcngPd31eIX04dqHrsaoar86yoUtiACnnve+MxqOMhZvK4C9eY2rC01Ye5f92Nt6U1Xp7yqQkqWcpfb4pyXmRGOGLU0TnTPGI3EmEg8NTZJ9TgGSw8XTzF7TDLmPzAYd/SNwpzsFJs8GjVFSq3tvwHg43n3ON1fuPO0x++bUFX+dQXyPBABTdHxBlz4Wjl7+99+vwtNre2WY6sa8XbxKYxJjbdJjrzvjj66m3WJoPioPtRUL/2FvBeKdM+ULMr186jEqOkiSGqhnpwMs17/FM2tNwAAXza2YsOR89Z8I6Xw34S0W7FoivYunoD678YBrzciI5QhzwMR0BRXXXS6XzIcJEzNbQ5VFTu/bHIruQsAFkxMo4eYDoxaGre21OTQk8HU3GZYD8SnTjQTAOD+O2/FW599iVc3VHrk/V7dUGk1HCSaW2+gsKQawE1FSjlTMxLw0bxxugwHwOIF+P74FKfHkMHuP8h4IAIatbIvrWh1PIiMjGkZCfi5SnkZYUEKU5TWNhuyNE5JZOzTo84naX/Rr3d3p/t3nPwK583X8P7eM7jzpc1uvdfCNYfx/l5x63r552avSPkHu+RkPTx3v/PS64uXlctGtQi+Ea5DYQsioJk0NAEZA6JRef6yV99ndHIs5tw7CM9/fMhmOwPw8r/d5dX3DhbswxQMtkabEUrjpmQkoEiQ8PfQsP5+GI06P8oZjE0V2kTJ2js4Xt1QiVdmZOh+H7XW3PbibPZN5lxFrTRUqXJj4ZrDNuOdlTUQy58c4fZ4iJuQ54EIeDa+eJ+Ne5MBeHSEuPverVHdMH6w806BT92TZJVmDmPA0lmZ+Mf8CYiLihD2gJBWy0ZN/jMC9eY2LF5nG6YAu/kAMkpp3BOjk5EcbzuG5PhIw1bRDE+Kw1QVVVU5/3fcNQ+KWiJkdKTzhldqKH131PIeRJUbIkNn3cFz5IHwMOR5IIKCXz+SgefuT7OWWZWdacEnhx2bZPXu0Q17nLT4DmcML+TegRdy73Ao2RLVuEurZXlLa8CSAzHh9j6G77jpK2ascOz5wTmw4qmRiI/qbqjSuJJFuVhbasKnRy/goWH9DWs4SPzh6VH47bYqrNherXrsg0Nd86CoteZest513YXVB0w2vTd+dN8gzLl3kLU0e8HENKwU/G5D+vcSeh2UDB0t+hKEdsjzQAQN8jIrYb8GALVO9Brkq19RyZZSjwgADm3FV26vDvkGO9JqsrCkGhcVKmKyUuIMWRr3xOhkFD47xvCGg8TPJqdj75JcfGuosropA1wKWQDiREg5nRx4f7dz2XYRkkdKzp921th8b34+OR0TBaqtpy62Cr18SoaOFn0JQjtkPBBBiahfw9hByg+PFd8Z6dDzQYSoR8Rf99QoJlwapYrA18g7FL6h0H9haEJvwxkNgUxiTCS+M1b5/l32eKZb15cSIZ8cdZtw/59LanTf5z9ddVC43f57My9nsMMxSgm2IkNHj74EoQ0KWxBBi71i3LHzZuyrEXfKfKvoJP7vPx7QdF250uXMd3bjoOmS0+Olh1yoTJSiluUifnBvquL5NU2tFPJRQfQ5TRqagKzkWId70lN5GwzMCRIAACAASURBVMOT4tB05TrWlJ112NcJfboLI17dhktOWnvLvzfOQoYilj85As9kp6C0tgWjUz2TvEnYQsYDEdTIJ3pnZV1fXmxF0fEGXX0pio43qBoOgDGqCHyJqEOhPUqTmVGFo4yGs89p/fwJKDregMKdp9HW3oGnx6V4NPyysdwxl0hi/cE6ZKepN+Ba8FGZU8MBsP3euNJ7wlMVH4QYMh6IkGH+R2IXqcSOE426jAc1gSrAOFUEvkRplZg3dQj21zQrJiEqCUd5sgFSMKDlc5o0NMErDdpWHzDhk/J6xf1ry87h9n69neoz1JvbVMtLRd8b6j1hLMh4IEKCouMNOHdJ2fMA6G+lnZveDx/tq3PY/uOcQZiamSjs/BkKKK0SZ49Jxrwc5UlF5LEItZCPFvz1OUlGC1fxKhVsqcIjIwYojsWZdsOkIX3xw5w0xe8NdX41DmQ8ECGBmpcgc0C07pWaKL6clRyLvGkkGqV1lSiP2+uNa4cqFefMDtt88TlpCUcB6j0nKs46jh8AYiNv8UjbcMI3kPFAhARKXgKJX0x3bcKX4ss7TjTigSF9veIqDlTUVomiuL3euHaoUW9uw9ItjtUri6YM8frnJDLulBAZMuV1Lfjs+AWsKHbUbMgd0hd/IcMhoDCE8cAYWwDg5wASAJQDeIFzvt+/oyKCCaUsdMD9VZu34svBjFLcflfeROzKm0hxbQWUVv933xbr9fe2D0c5Izu/GLUF062v7eWi7XEWziKMid91HhhjswH8DsCrALJgMR62McY80/GIILpYP38C3nt2FMYNuikiQ6tb/6AWt/encJSRZcal1b8cX4Z25Donagx5aRMA9b4YFJoKTIzgefgPAIWc8/cBgDH2YwDTAfwAQIE/B0YED4Ul1dhcUY9pmYn4+3PZqDe30erWjxg1v8HopaKulCx6YwyJMZGoLZiO1LxNisdd77D866wvBhnvgYtfjQfGWASAUQDypW2c807G2GcAshXO6Q5A3oe2t1cHSRgGV8WDsl7/FM2tNwAAh+rM+MPn1Tj48kP0wPIjRpgE7e+nQCkVNUrJ4oIPxYJrEt3DLf8qyUX/fPKdSLk1CqNSSIshEPG356EPgHAA9q3eLgBIVzhnCYBXvDkowni4uiIsLKm2Gg4Sza03UFhSTXFWP+PPSVB0PxVXXQyYUlF/lywOf3UbzCoiTyfesOQ8SHLR8tBFVnIsln960rAeHkIdfxsPrpAPS46ERG8AjlqpRNDgzorwf/bWCrdvrWzwqvFQb25DaW0zGGMYlRJnuMnHKPhjEhTdT/bNmSTCmLhyIJQpLKl2ajh0D79pOEjI5aJT+/TEvL+VGd7DQzjH38ZDE4AOAPZ9YvsDEEqQcc6vA7C26GPMvnciEWy4KoqTs6wYphaxMNR4DRK6rmLfnpsBKJhFKyujoFWvAAB+eO9gmtDs2FyhrDC5d0mu4uclyUXvqW4KGA+PPdR35SZ+rbbgnLcDKAMwSdrGGAvrer3XX+MijIUrGeZrS00wNStny4+/XZ+apBL2mfn15jaH9twcwJL1FTbHGDWbPxQQ3U9KzFFo3hXKTMtMFG6fnpGgaUL1d8WIq8g7xcpbhocqfi/VhCUEMY8x9ixjbCiAPwCIAvC+f4dFGAUpuS68y8ukJblua6Wydn4YPOOKFj1Mappahe25O7lFdc/VBxAZHMro/Wzs7yclQ+L741NCfnUpYl5OGuKjutlsi4m8BSufHqXpfFe+z/5GKXQayt9Hf4ctwDlfzRjrC+A1WESiDgOYwjm3T6IkQhi9yXVTMhJQVNUo3PfDnEFuP6iUHibr52eDAQ4GRBgDekaEuZS7YfTyQX/i6mdjfz8t+OigjYBYxoBo/PqRDG8OPaA5+PJDKCypxtbKBkzJSNCdP2SUihGtUN8VR/xuPAAA53wFgBX+HgdhbPQk1z0xOhnLt51Ew9fXbbaHMWDOhEFuj0XpYXK1vRMFszJtcx66JrXW9g7dD6BAKR/0B+5+NvL7iWTG9TMvJ82tpGN/V4zowai6JP7EEMYDQXia1QdMuGBnOEiTuCceWM4eJtlptyLnzr4oq20BY0BWV7VFvblN9wOIVjzKePqzIZlxQgkj6JIYDTIeiKDD2jrYfgcHcu70TKKk2sMkMSYSDw+P1HWOCFrxKEOfjbEpOt6A4qqLyE3vFxRGWaCFWrwNGQ9E0KFUiqfWKlgvrjxM9J5DKx5lvPnZUEmee8x8Z7c1h+SjfXXIGBCNX0wfGvCfZyCFWrwN4yrd0YwOYywagNlsNiM6OtrfwyEMQL25DRMKih0MiDAAu53UoRsRaRKLigjH1fZOq8FRXteC/bXNGJsaj+FJoS3v6+k+JZSg6h5Fxxsw9wOxdDVjQN7UdDxH6q6G4fLly4iJiQGAGM75Za3nkeeBCDqkFWne+gpItjEDkD/LM/kOvsJ+Els8NR0cHK/96xi2yEpRZ2UNxPInR/hxpP7Fk6tBSlB1n7WlyoK/nAP5m6sADjx3PxkQgQwZD0RQIoUHDp5pAefAqFRHiWgju6ZFk1j+5irhsesOnsMz2Skh74HwBJSg6j7RPdSnlaVbqvDIiAHWRGKjfg8JZch4IKw88vudOFp/GcMSo/G/L97n7+G4TWJMJKbfLX4YGd01rUdCGQBKa1vIePAAlITpPt8dl4I1ZeecHtMJS/5RyclG3d9DMjaMgREUJgkDkJq3CUfOX0YHB46cv4zUvE3+HpLXCAS1OD0SygA1b/IUgah+aDSkLprOCGdMUTTN2fcwUCSiQ0ERljwPBB75/U7F7cHggbAnEFzT9pUEavSM6KZ6DKENKslzH3kXzdGpcfjidDOWbqlCJ24aZHpF0wIlH8XoXk1PQcYDgaP14gRbpe2BTqC4puWT2JGzl1CwpUrYN4OBPA+ehkry3Efqoin9/5ERA2wMMr2iaYFg9AeKgeMJKGxBYFiiuMRVaXugE0iu6cSYSGSn3Yrn7k/D87ni7PTpmYmGHDtByJHuZbmQmp7vYSB043Rm4AQb5Hkg8L8v3ifMcQjGkIWUbJVzZ1/sypsYUK7pbw3tj7eLqx22z8txv1cHQfgDPSGiQBBMCxSvpicgkSjCSrBVW9gTDLHIhWsOY93Bm5nsoa7xQIQeSqJghSXV2FxRj2mZiW417HKX1QdMDgaOkZ8zropEkfFAhAT15jaMzy+2yRlgDNiTF1iKkwBQXtdiTUSj8kyCALJe/xTNrTesr+OjuuHgyw/5bTyeVj31JqQwSRBOKDvT4pBsyDlw8EwLslIQUHXj8kQ0ggh1CkuqbQwHAGhuvYHCkmq/eSBCIeGWjAciJFDysO2ubsILqw4FdCiDIEKZzRX1wu1bKxv8Gr4IdqjagggJRqfGw15ziQFYta/O0GJRrpCWtwmpeZuQFsRCX3oIBcGeUGZaZqJw+5SMwG8DbmTIeCBCgsSYSBTMyrTe8GEAfnjfIIdQRqCXVaXmbUJH1/87ul6HMoGiSEi4zrycNMRH2YqkxUd1I6+Dl6GESSKkkCcyAXBo3R3OGHblTXQrXqnWLttb2vxpMsNBTjiA6oLpHnsfe4zaa0DUmt0Tf1/CmBSWVGNrZQOmZCSQ4aADSpgkCA3YJzLJ68YZgB/fPxiJMZGqBoASaqWUqw+YkLeuAhyWsEnBLM/lWIgMB2fbPYGRy18DQZGQ8BzzctI8YjQY1Rg2GmQ8ECHN7DHJ+PxkIzZXNIADWLmjGv86ch6m5pvxca1aCuV1LTaGA2DbLrve3GY1HACAA8hbV+Ex6dpwiA2FcLevLMboUrxREeLfvGcERWsJMasPmLB4XYX19VIPGvfBBn2LDAglePmO8roWbK5osNkmNxwAiwHw/b/sQ9Fx2+Ps2V/bLNxeWtvS9W+zY7kogLKu/e6iFJrwVsjC6FK8re1in8vV9k4fj4QIBOrNbTaGAwAsXldBz2EFyHgwGJTg5VuUJnx7dpxswtwPyjDznd2Kx4xNjRduH51qCXswJu6xrbDZJWoLpls9DeFdr72F0XsNKLU1X1NqUjUEidDj1Q2Vurb7mnpzGzYeOY9/lZ8zhEFDxoMKvvQCKLmBjXCjBCtKE74SB02XFCee4UlxmJU10GbbrKyB1pyJUSlxjuWiDMhKEedUuHrvVRdMR23BdK8mSQLGbzBmPz6Jfx46r2oIEqHHobOXhNsPnzX7eCSOrD5gwvj8Yjz/8SG8sOowxuf7f2HptZwHxlgqgJcB5AJIAHAewIcA3uCct8uOuxvASgBjADQCeJtzvsxb49KDr5PBKMHL90gTvjxXITk+0iF0IWfHiUZMGiquIV/+5Ag8k50ilI+WykXt7ynR39bIiYhy9DQ28gfS+D7YU4M/fl5js08yBJX+lkRoMW1YIt7fe8Zh+9Rh/r0/pEWlfGrgAJZ4MF/KFbyZMJkOi2fjOQCnAGQAKAQQBeBngLXM8lMAnwH4MYBMAH9hjF3inP/Ji2NTxR/JYKHUkc1IiCb8ouMNmPtBmfD4B4b0dXo9Z/LR9pMtAOypbsKgPlEALAZkW/s3NomVRktEtMfoUrwlJxsdDAcJZ4YgEZi4Wi3xyowMfLTfhPYO2xXcX/eewSszMjw9TM2IFpUA0An4dWHpNeOBc74VwFbZptOMsSEAfoIu4wHAdwFEAPhBlzfiKGNsBID/AOBX48EfXoBAaDkbrEgTvhQquGtADJbOynRIoMpKjnV7spEmW7l3QXKsK6mukAfKNURJcHLUDEFPs7bUZNUieGK08TxJgY67HruHhvbHxkrbsCQHMPf9/XhvzlgPj1YbokUlYFmZ+3Nh6etSzRgA8gy1bAAl8jAGgG0AFjPG4jjnnklDdwF/eQGM7gYOZkQPnr1LcrH+4FmcvngF0+5O9Ngq1d6zpUWqjTxQ+qlpalXc16dXhE+9DjnLiq3hsKKqRrxdfAoli3J99v5GxhPaClq9xUXHG1BcdRG56f0waWiCTSvvklONwmsXnWjE6gMmv4QOpUVl3voKSJqODED+LHHI01f4zHhgjN0O4AXc9DoAllwIe3/iBdk+B+OBMdYdQHfZpt4eHKYVf3oBjO4GDkaUHjy78iZiwcQ7PP5+nx27IHRFOuPYeTPdFzqRwkEils7K9Nk41paaHPJoTM1tWFtqCnkPhKfye7R4i2e+sxsHTZbEyI/21SGcAVKU4lCdGbc4qXzypCaLXqRF5cEzLeAcGJUa5/dnge5qC8ZYAWOMq/yk250zEJYQxlrOeaGbY14CwCz7Oevm9RSZPSYZu/ImYtW8cdiVN9GQCWuEZ/ClZsHCNYfx8oajus/bcUK8KgolpLBSeV2LpkqUxJhIoZHgifCTHrZWiit0Pj16Qbg9VPBkhZla6XDR8Qar4SBhl96Ab5wY9BzA4n8c0T0uT5EYE4npdw/Aw8MH+N1wAFzzPCwH8FeVY05L/2GMDQCwHcAeAD+yO64BQH+7bf1l+0TkA/id7HVveNGAIC9AaOCrMJVIhVIrvo7PGwXJpV1x1oyCLVU2IR4tK1Vp1bau7Cxqmq5gWqbnwk9amZKRgKIqR+PvoWH2j7/QwpO5ZWre4uKqi5quMyo5Fj1uCcPu044aMCVfWgxXPZL1wYpu44Fz3ghLSaUqXR6H7QDKAMzhnNtLu+0F8AZjrBvn/EbXtgcBnFDKd+CcXwdwXfYeOn8DgnAkMSYSj420Ldl8dKTnLfzPjru20hzSv1dIVgXIXdoitFaiJMZE4vlcz4eftPLE6GS8XXzKJnSRHB8Z8iELTxvtznLGctP74aN9darXmJKRgGEDY7D79D7h/uKqi2Q8wIsiUV2Gww4AJljyHPoyxhIYY/In4McA2gG8xxgbxhibDeDfYetZIAivU29uwz8P2XoEPjl03qMCXasPmLCiuNqlc6dkhJ7hYO/SVsJZeMlIUu8li3Lx5uOZeHBoP7z5eCYlS8I7QmOJMZHITrsVx86b8dI/j1hF3SYNTUBWcqzNsfZhDqmVt7NcmbeKTvldoMkIeDNh8kEAt3f92IcVGABwzs2MsYdgEYkqA9AE4DV/azwQoYea+9TdbHCR0Ise+vTqrn5QkKFU326P0krViEJbT4xODnlvgz3eqDCzT4zMSo7F+vkTsH7+BBQdb0BhSQ2+qGm23l/JcZH4XnaKtSunlCujVOa7ZL1/BZqMgDd1Hv4K9dwIcM6PALjPW+MgCC04c5+6MwlJZWGJsZG6qyvkfOuu0IuNK9W3ywkDhCvVouMNNg9+owtthTqezC0TJUbK1UTvGhDj0NPm3KVreHj4AJttklHzp89P4/09tTb7Ojnwk/8pwyfP3+uRMQci1NuCIKDsPgWgORu8vK4FhTurUV5nSdeZ+c5uzP2gDB/tq8Nvt510eWxLpqWH5IRn/zdh7KaYVhgDfnTfYOxekutgyC1cc1ioDmqkjp+E91BKjJSqlfRUViXGROJH9w8WNq87fNaMH7y/3+3xBiq+FokiCMMicp/uqW7SlA2+cM1hm2TL7MHxDqsfV1gyNR3PdblSQxGRnLcz97ZaNQsJbRkHTwhDiVBKjJSqlaIiwsFgK8zmLEkzMSYSE4f0RbGgWqb4RGPIVl+Q8UAQMuzdp1qywUUT1l5BmZcWJgyOx4EzLbijbxT+PGdsSHoc7LH/mzj7TNRarGfnF3u1TTmhjXdLqi1lt3ahQE8YFK/9r1hD5bX/PYqmK+0OuUfOkjSl8YxKjhMaDwDw8T4TGQ8E4Qm8taLwB1qURtUmLC2kxPXA54snuX2dUEdLi/Xb8zbhb/PuCYr7MxB59/Nq5G+psr6WQoGXrt7A0q1Vbie4nmm5prjdvnonjAHr52cLJ39R7xkRO79s0j3GYICMB8KjGDHD3V3UssG1TFjOeGlaujXLm3APUYt1e74B8FThvqC5PwOJenMbCmSGg0QH5zYCYO4kuKbE9RAaEP16ReDilXabbZ0cuNpuLz+kr/fMefO1kAxdUMIk4TE8KTVrNKTacdGDTJqwXCWMhM48ys8mD9F0XDDdn4FCTVOrcCJmzHGC/v/t3XmUVOWZx/Hv0y27dNtIpBuhbTRGHNYBXEDjgiMimMRo1OxqTtREJ5ksKhDHJSYKxmDmqGiMMUfj6Og4OjoJCkbRoAFRcMMFEhtaUJstttUGmgbhnT/uLbhdfau7bq1dXb/POXWg7nur6n0oquq575ruANdkLXiPfe/YDpevTqxnlNlRNy5onxB1d0oeJGvyuT9EPqWy0NDcs8fy2CWTOH9SXeTnn1BXWlcsuRZlFc/u8P+zmITtPwEwLckiaH17pvcT1TBnOgdV9Qa8loiGOdMjLUiVrJ7JPF+feddlsVG3hWRNobYxz6Uo3TBjhlYxZmgVzdt3prx/xZnjDiy55s5sC46x+eXC1ZH3Drn3hQYmHrJ/jmonQYljiOLmrwzfyiisSyFVYS0QqS5Ilayespe5Iv+HMbMKIBaLxaioqCh0dUregy+taze4sFj6lF9b38SLDR9yZN0AxgytojHWwjFzFrVLhp6feWKn/bCvrW/izsVrmb+yEQdtpoaZweTDDuD7J31aiUOGEge1pftt9tglk/Re5NHTb28IXYsjKNXPWirSHcTdGGthxv+8zuIUBkUW6yye5uZmKisrASqdc82pPk4tD5JVuVhqNh8S12k4c9yBnDl+SNo7/o0ZWsWtX6viilgLX/nNCzT8fW/TuHPwzOpNTBkxSD9YGYgyqK0zyxtKb8BbIa3ZsjX0eDwBzMYeF3GZDOLe1Lw9pcShvASHLSl5kKwrtm3Mw9ZpePjl95k2qrpdN0yZReuHvePZ+jaJQ5yWS85c1EFtHdG4k/xKNkPpt+eOp2/PHnsuPBJbA6NKNoi7s89dvKViaX1q0zC/ctTQyHUrdkoepOQlW6ehYcu2dv2eux188bYlKV29NMZauHvpu0nLU23FkHCp7H2RCo07yb+wKbWjDqxg4L699rwXYa2Bc88eG+l1OtvwLkybrrAUWxROPOyASPXqDjTbQkpesqugCXVVnHNELY9cPLHNIjGpTvFbm6RpNq7YB5MWWk1lH2ZMHZ7Rc+zXe5/IP0iSHfEZSnEr32/mC/OW8OP/fjVpa2B835hUhc2aCH7unn57Q5ttu9t1haWYmJbijB21PEjJC7sKCl6Nbt2xK+kc9I5aDcLW0I/LZp9uKYo3Kx9YFf7vVwbc8KVRPP32Jir79mBoVV9++WT7zcmuO2NUjmsqHfnCvCXtjj388vv07x3+0xR1bEpHK8SGbdt96SmHpdWSVYrdXkoeRPAWFlr53kes2byVsUP3a3M1ms4U1HjTZ+L30FnjDuSM8UOLajBpV5O4vHFYgnbKyGpmPLx3kNyMU4e3O88Mxh3U/b/071xcz+MrG5k2qqZLrWRaN3N+0rJ3Nn0cejydH+n4IO6n397IxubtDK/un3Tb7vebtkXuCht9YEVJdntpqqaUvAdfWseMh1e2Ox6cepVsCmrYFLCwKZ5lBv97saYDZuqOxfXMfrz9an7xL/wyg29OPIh7lr7bpsm53IzLpx6Wlb0Tism4nz3Jh1t37rk/oF8PXr5ySgFrtFdHycMRdVXUDujbpjVw2shqbvv6+LReK3H8xLCBfVkb0tVw9MFVLFvTFGnmTrFP89VUTZE0NMZaQhMHgC/e+jy3fWM8NZV9QqegBgdWgTdd6+hhA7jkpEPbXbkkW0NfUtcYawlNHAAuPG4Y/2j9hHIr454l74Z2M40esh9/mTm56KYRp+vOxfVtEgeAD7fu5M7F9V2qBSLM2ROGcNaEWqorezPvmXoAFry5gQdfWhc54QsbPxGWOAC8sCbamAqgqBOHTCh5kJL21FvJlzJ+5b0Yx8xZtOcKNTgFNXFgFcAuB39Z8yF/WbMs9PnSXWpXPFN/9eekZb/+89oOHxvvZiq2acSZeHxlY+jxBW9sKHjy0NHAxx5lxrGHforGWAu3P1u/53i605uzsettvs1duIon3tjAqSOr+fEpmQ0KzhV9m0lJS7ZYTVyymRXprDGglofMxLbvSutxZUZJDk6dNqom9PjUJPtI5FNHP+g7dzsmzV7E755fm5W9cg4e2C+dKqZk+KB9s/6cI65awC3P1PPO5q3c8kw9h/3741l/jWxQ8iAlrWlra6fnhH1hDRvYL+U54KBpmdlQ0as88mPK8MaadPexDWEuOO4QBvTr0ebYgH49Ct7qAJ1vY++Au55fS+JHLJ3P0Qcftd+eO1sW/PD4rD7f3IWr2LqjbZLc+onj6OufyurrZIOSBylZjbEWHns1vGk3KOwLq6ayDzNPTd6cWNV7n5R275PULfxRtC/qcjNmnzmqZPukAV6+cgpXTBvO+Nr9uGLa8C4zWDKVbex3O7jguGEZf442fZyb5GFEdf+sP+cTb4RvELahuZWHlq/L+utlQrMtpGQtqd/CV+8MH58QH73f2eZeVz/6Bve8EL6K5KxThzN6yH4lMTgvX8Jmxoyr3a/NtLtpI6v5xsQ6/bsXgY42yIpvjAVkNMj1tfVNoetJZGreV/+Z6aMHZ/U55y5cxS3P1Cctv+HM7M8QSne2hZIHKVlhUyrBb+q+ZBLbduxO6Qvr4vtW8HjIlsLZ3BVQ9mqMtfDyu004B+PrqvbsgbC8oYkJdVUl3dJQjBJnLUHnSXtUiVM1M2XAklmTc/LZ7mgKay5eV8mDkgdJw4MvrWPmIyv3rAlgwJw0svvTb32eV9+LtTv+XxcczcRD9s9CTUW6r8ZYCw1bttG3Z1nKSXtU2WyBuPCzB/OT6Ydn5bkSdZQ8AHz1yKFcf8borL2e1nkQSUN8/YbEK9koXlvfFJo4lBkaJCmSgnxMoR0ztIqGOdO5ddHfQpcqT1UZcP6xdVmrV6JyoKN5Rfe/uJ7vnXRowVs08zJg0sx6mdmrZubMbGxC2Wgze87MtpvZejO7PB91EomrqezD9NGDOW3M4LQ+kMmmnU0bWVPwD7iItHXQ/ukn9GXA7DNH5fRzXR9Y2TaZKTctztnrpypfsy1+AXyQeNDvcngSeBcYD1wGXGNmF+apXiIZSzbt7ILjhuW5JiLSmQmdTBNNxvDGQuVj2m9DJwnEx62fcOfi5AMr8yHnyYOZnQpMAS4NKf4a0BP4lnPuTefcA8DNwI9yXS+RbAmbdhbclVNEuo6ayj7M6mCadTJz8jzt97hPD+ywfEGSaZ35ktMxD2Y2CLgTOB0IWxZsIrDYObcjcGwhMMPMqpxz7dYwNbNeQK/AoexPthWJaO7ZY/nmxIM04l+kCFx0/CFgJN0rJah3D3jm0tzMrEimMdbC4ne2dHhOoVcKzVnyYGYG3A382jm33MzqQk6rBhIXpd8YKAtbAH0WcHV2ailC6M6Y6RgzVEmDSLG46LhD+PyYwaxoaMIM/rxqE8+s3kRzy05aAyvJb98J029+Lq8LbF3zWPhmfXH7lFHwlUIjJw9mNgeY0clph+N1VfQHZqdRr47MBm4K3O8PvJfl15ASEZxjXirbNIuIp6ayD6eN8S4Ypo8enHTRqnzsRhq8iHl29eYOz31uxuSc1SNV6bQ8zMVrUejIGmAyXrdEq7XdBGC5md3nnDsX2AAMSnhs/H5oh45zrhXYsyGBRdlgQCQgcWfMdHftE5HuYdGqTUnL/u/VD3KWPAQvYgzabSkfdEOOZ3ukKnLy4JzbDHScFgFm9n3g3wOHBuONZzgHiK8JvBS4zsx6OOfiG8+fDKwOG+8gkk1hO2PGN8HqCh9OEcmvycMP4L5l60PLxtRW5uQ1Ey9iOkocThtZ3WVaRnM228I5t84590b8BsRX5ah3zsW7Ge4HdgB3mdkIMzsH+DfadkuI5MSwgf0oS2i40u6XIqXrpMOrGVzZK7TsoAG52do77CImTLnBrV8fn5M6pKOgu2o652J4YyOGASvwukSudc79ppD1ktJQU9mH2WeM0u6XIrLH4TXh2xy8uDZ8MbhMhV3EJDptZDX1sztfPCqf4rch/gAADphJREFU8rY8tXOuAdptz45z7nXgs/mqh0hQfHnqTHbtE5HuY+rIap5e1b5nfsqIxOF5mYsPkvzyEUO5/8Xw7pKu1uIQp70tpOTlY119ESkOZ02o5ZZF77Duw5Y9x2oH9OGsCdkda5A4SDKZo4eltyJmrmlXTRERkQQPLV/Hk29uZMqIQVlPHBpjLRwzZ1FKYx06W6o6U9pVU0REJEvOmlCb9aQhLpVBkiOq92X+D47PyetnQ0EHTIqIiJSafj3LOywvM/jt+UfmqTbpUfIgIiKSR1t37Oqw/NvHHtzlx2EpeRAREcmjjqZnlgHnH1uXz+qkRcmDiIhIHiWuMRNXbsbsLrL8dGc020JERKQAGmMtNGzZRt+eZWzbsbsga81otoWIiEgRKeY1ZtRtISIiIpEoeRAREZFIlDyIiIhIJEoeREREJBIlDyIiIhKJkgcRERGJRMmDiIiIRKLkQURERCJR8iAiIiKRKHkQERGRSJQ8iIiISCRKHkRERCQSJQ8iIiISiZIHERERiUTJg4iIiESS0+TBzKab2TIzazGzJjN7NKG81szmm9k2M9tkZjea2T65rJOIiIhkJmc/1GZ2JnAn8BNgkf9aIwPl5cB8YAMwCagBfg/s9B8jIiIiXZA557L/pF7rQQNwtXPuriTnnAr8ERjsnNvoH/sOcAPwKefcjhRfqwKIxWIxKioqslF9ERGRktDc3ExlZSVApXOuOdXH5arbYhxwILDbzF4xs0Yze8LMRgbOmQisjCcOvoVABTAi2RObWS8zq4jfgP65CEBERETC5Sp5ONj/8xrg58BpQBPwrJkN8MuqgY0Jj9sYKEtmFhAL3N7LQn1FREQkRZGSBzObY2auk9vwwPNe55x72Dm3AjgfcMBZGdZ5NlAZuA3J8PlEREQkgqgDJucCd3dyzhq8wY8Ab8UPOudazWwNUOsf2gAcmfDYQYGyUM65VqA1ft/MOq20iIiIZE+k5ME5txnY3Nl5ZrYC7wf+MOB5/1gPoA541z9tKXCFmR3gnNvkHzsZaCaQdIiIiEjXkpOpms65ZjP7NfBTM1uPlzBc5hc/5P/5JF6ScK+ZXY43zuHnwDy/dUFERES6oFwuyHQZ8AlwL9AHWAZMds41ATjndpnZacDteK0QW4F7gKtyWCcRERHJUE7WecgnrfMgIiKSnq62zoOIiIh0U0oeREREJBIlDyIiIhKJkgcRERGJRMmDiIiIRKLkQURERCJR8iAiIiKRKHkQERGRSJQ8iIiISCRKHkRERCQSJQ8iIiISiZIHERERiUTJg4iIiESi5EFEREQiUfIgIiIikSh5EBERkUiUPIiIiEgkSh5EREQkEiUPIiIiEomSBxEREYlEyYOIiIhEouRBREREIlHyICIiIpEoeRAREZFIcpY8mNlnzOwxM9tiZs1m9ryZnZhwTq2ZzTezbWa2ycxuNLN9clUnERERyVwuWx7+COwDTAbGA68BfzSzagAzKwfmAz2BScC5wHnAtTmsk4iIiGQoJ8mDmQ0EDgXmOOded879DZgJ9AVG+qdNAf4J+Lpz7lXn3BPAlcAlZtYzF/USERGRzOWq5eHvwGrgm2bWz++KuAjYBKzwz5kIrHTObQw8biFQAYxI9sRm1svMKuI3oH9OIhAREZFQORlf4JxzZvYvwKPAx8BuvMRhqnOuyT+tGtiY8NCNgbJkZgFXZ7G6IiIiEkGklgczm2NmrpPbcDMzYB5ewvBZ4Ei8ROIPZlaTYZ1nA5WB25AMn09EREQiiNryMBe4u5Nz1uANkjwNqHLONfvHLzazk/EGRs4BNuAlFUGD/D83JHty51wr0Bq/7+UpIiIiki+Rkgfn3GZgc2fnmVlf/6+7E4p2s7e1YylwhZkd4Jzb5B87GWgG3opSLwnXGGth7ZatDBvYj5rKPoWujoiIdBO5WlNhKdAE3GNm1wItwAXAMLzpmQBP4iUJ95rZ5XjjHH4OzPNbFyQDD760jlmPrGS3gzKD2WeM4pwjagtdLRER6QZyMtvCObcFmArsCywClgPHAl9wzr3mn7MLr2tjF16y8Z/A74GrclGnUtIYa9mTOADsdvCTR96gMdZS2IqJiEi3kLPVHJ1zy4FTOjnnXWBarupQqtZu2boncYjb5RwNW7ap+0JERDKmvS26oWED+1GWMI603Iy6gX3DHyAiIhKBkoduqKayD7PPGEW5PxOl3IzrzxipVgcREckKc851flYX5q8yGYvFYlRUVBS6Ol1KY6yFhi3bqBvYV4mDiIi009zcTGVlJUBlYGmFTmkHy26sprKPkgYREck6dVuIiIhIJEoeREREJBIlDyIiIhKJkgcRERGJRMmDiIiIRKLkQURERCJR8iAiIiKRdJt1HpqbU17bQkREREj/t7M7rDB5IPBeoeshIiJSxIY4595P9eTukDwYMBj4uNB1yaL+eAnRELpXXGFKKVYorXhLKVYorXhLKVbo/vH2Bz5wERKCou+28INNOVsqBmZ7tsT8OMpa48WolGKF0oq3lGKF0oq3lGKFkog3ckwaMCkiIiKRKHkQERGRSJQ8dE2twE/9P7u7UooVSiveUooVSiveUooVSi/eThX9gEkRERHJL7U8iIiISCRKHkRERCQSJQ8iIiISiZIHERERiUTJQwGZ2RVmtsTMtpnZR0nOcSG3Lyecc4KZvWxmrWb2jpmdl5cAIkox3lozm++fs8nMbjSzfRLOKYp4E5lZQ8h7OTPhnNFm9pyZbTez9WZ2eaHqmykzu8SPebuZLTOzIwtdp0yZ2TUh7+GqQHlvM5tnZn83s3+Y2cNmNqiQdY7CzI4zsz+Y2Qd+bKcnlJuZXWtmjWbWYmZPmdmhCecMMLP7zKzZzD4ys7vMbN/8RtK5FGK9O+S9XpBwTlHEmgtKHgqrJ/AQcHsn550P1ARuj8YLzGwYMB94BhgL/AfwWzM7JRcVzlCH8ZpZOV4sPYFJwLnAecC1gXOKKd4wV9H2vbwlXmBmFcCTwLvAeOAy4Bozu7AA9cyImZ0D3IQ3vW0c8Bqw0MwOKGjFsuNN2r6HxwbKfgV8DjgLOB5v6fxH8l3BDPTDe68uSVJ+OfB94DvAUcBWvPe1d+Cc+4ARwMnAacBxwG9yVeEMdBYrwALavtdfSSgvllizzzmnW4FveD+QHyUpc8DpHTz2BuCNhGMPAAsKHVfUeIFTgV3AoMCx7wAxoGexxhuoZwPwgw7Kvwt8GI/VPzYHWFXouqcR6zLg1sD9Mrxl5GcWum4ZxnUN8GqSskpgB/ClwLHh/mf46ELXPY1Y23z3AAY0ApcmxLwd+LJ//3D/cRMC50wFdgODCx1TqrH6x+4GHu3gMUUZa7ZuankoDvPMbIuZvWhm37LAQuvAROCphPMX+seLzURgpXNuY+DYQqACL7uPn1PM8c70m7RfMbPLErpkJgKLnXM7AscWAoeZWVV+q5k+M+uJ13Ky531yzu327xfL+9SRQ/2m7jV+k3Wtf3w80IO2ca8C1tE94h4GVNM2vhheohiPbyLehcHywOOewvtBPSpP9cymE/zu09VmdruZ7R8o626xRlL0G2OVgKuARcA2YApwG7AvcLNfXg1sTHjMRqDCzPo451ryVdEsSBZLvKyjc4oh3puBl/FaFyYBs/GaQn/kl1cDaxMeE4y/KQ91zIaBQDnh79Pw/Fcnq5bhtZytxnvvrgaeM7OReO/RDudc4niejez9/1vM4jGEva/Bz+emYKFz7hMz+5Di+zdYgNfltBY4BLgeeMLMJjrndtG9Yo1MyUOWmdkcYEYnpx3uX5F0yjn3s8DdV8ysH15f+M1JHpJX2Y632ESJ3zl3U+DY62a2A7jDzGY557TsbRFwzj0RuPu6mS3DG6NyNtCVE1eJyDn3QODuSjN7HagHTgCeLkiluhAlD9k3F6+vrCNrMnj+ZcCVZtbL/8HZACSO5h4ENOfpKjyb8W4AEkfkDwqUxf8sZLyJMol/Gd5nsA7vSjZZbLA3/mKwBX/sSsLxQRRXHJ1yzn1kZn8FPg38CehpZvsltD50l7jjMQzCG/tA4P6rgXPaDIr1u+YGUOT/Bs65NWa2Be+9fppuHGsqlDxkmXNuM7A5hy8xFmgKXKkuBaYlnHOyfzznshzvUuAKMzvAORdvDjwZb6/5twLnFCzeRBnGPxavfzQe61LgOjPr4Zzb6R87GVjtnCuWLgucczvMbAVwEv7MIDMr8+/fWsi6ZZs/Le8Q4F5gBbATL86H/fLDgFoK9P8zy9bi/SiehJ8s+DOEjmLvDKqlwH5mNt45t8I/NhlvwOyy/FY3u8xsCLA/exOnbhtrSgo9YrOUb3hfKmPxxjV87P99LLCvX/454NvASLxs97t4U6N+GniOYf6xX+D1J18MfAKcUuj40oi3HFiJN0hwDHAK3g/r9cUYb0LsE4Ef+HEdDHzNj+2ewDmVeF/Ov8cbIHqOH+uFha5/GvGegzcK/1y8Uel34I3ZGFToumUY1y/xpmDW4Y1b+RNe8vgpv/x2vG6ME/EGUC4BlhS63hHi2zfwuXTAD/2/1/rlM/z38fPAKLzkcA3QO/AcT+CN7TkSOAb4K3B/oWOLEqtfdiNwtP9en4SXHP4V6FVssebk36/QFSjlG15ztwu5neCXTwVe8X9o/4GX7V8ElCU8zwn+ea14fXLnFTq2dOL1zzkIeBxvgOhm/8t6n2KMN6HO44AXgI/w+sbfAmYFv4j880YDz/k/vO8BMwpd9wxi/lf/h7QV70rsqELXKQsxPQB84Mf0nn//kEB5b2Ae3qDYrXgD7qoLXe8I8Z2Q5DN6t19ueOuubPD/jz4FfCbhOQYA9/vfWzHgd/gXCF3p1lGsQB+8i5hNeNNvG/DWbxiU8BxFEWsubtqSW0RERCLROg8iIiISiZIHERERiUTJg4iIiESi5EFEREQiUfIgIiIikSh5EBERkUiUPIiIiEgkSh5EREQkEiUPIiIiEomSBxEREYlEyYOIiIhEouRBREREIvl/EWfqe1tEODYAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# so, lets start by plotting ufo sitings by lat and long\n", "# nothing fancy\n", "plt.plot(ufos['longitude'],ufos['latitude'],'.')\n", "# hey look neat! A little map of the earth!" ] }, { "cell_type": "code", "execution_count": 281, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Accent',\n", " 'Accent_r',\n", " 'Blues',\n", " 'Blues_r',\n", " 'BrBG',\n", " 'BrBG_r',\n", " 'BuGn',\n", " 'BuGn_r',\n", " 'BuPu',\n", " 'BuPu_r',\n", " 'CMRmap',\n", " 'CMRmap_r',\n", " 'Dark2',\n", " 'Dark2_r',\n", " 'GnBu',\n", " 'GnBu_r',\n", " 'Greens',\n", " 'Greens_r',\n", " 'Greys',\n", " 'Greys_r',\n", " 'OrRd',\n", " 'OrRd_r',\n", " 'Oranges',\n", " 'Oranges_r',\n", " 'PRGn',\n", " 'PRGn_r',\n", " 'Paired',\n", " 'Paired_r',\n", " 'Pastel1',\n", " 'Pastel1_r',\n", " 'Pastel2',\n", " 'Pastel2_r',\n", " 'PiYG',\n", " 'PiYG_r',\n", " 'PuBu',\n", " 'PuBuGn',\n", " 'PuBuGn_r',\n", " 'PuBu_r',\n", " 'PuOr',\n", " 'PuOr_r',\n", " 'PuRd',\n", " 'PuRd_r',\n", " 'Purples',\n", " 'Purples_r',\n", " 'RdBu',\n", " 'RdBu_r',\n", " 'RdGy',\n", " 'RdGy_r',\n", " 'RdPu',\n", " 'RdPu_r',\n", " 'RdYlBu',\n", " 'RdYlBu_r',\n", " 'RdYlGn',\n", " 'RdYlGn_r',\n", " 'Reds',\n", " 'Reds_r',\n", " 'Set1',\n", " 'Set1_r',\n", " 'Set2',\n", " 'Set2_r',\n", " 'Set3',\n", " 'Set3_r',\n", " 'Spectral',\n", " 'Spectral_r',\n", " 'Wistia',\n", " 'Wistia_r',\n", " 'YlGn',\n", " 'YlGnBu',\n", " 'YlGnBu_r',\n", " 'YlGn_r',\n", " 'YlOrBr',\n", " 'YlOrBr_r',\n", " 'YlOrRd',\n", " 'YlOrRd_r',\n", " 'afmhot',\n", " 'afmhot_r',\n", " 'autumn',\n", " 'autumn_r',\n", " 'binary',\n", " 'binary_r',\n", " 'bone',\n", " 'bone_r',\n", " 'brg',\n", " 'brg_r',\n", " 'bwr',\n", " 'bwr_r',\n", " 'cividis',\n", " 'cividis_r',\n", " 'cool',\n", " 'cool_r',\n", " 'coolwarm',\n", " 'coolwarm_r',\n", " 'copper',\n", " 'copper_r',\n", " 'cubehelix',\n", " 'cubehelix_r',\n", " 'flag',\n", " 'flag_r',\n", " 'gist_earth',\n", " 'gist_earth_r',\n", " 'gist_gray',\n", " 'gist_gray_r',\n", " 'gist_heat',\n", " 'gist_heat_r',\n", " 'gist_ncar',\n", " 'gist_ncar_r',\n", " 'gist_rainbow',\n", " 'gist_rainbow_r',\n", " 'gist_stern',\n", " 'gist_stern_r',\n", " 'gist_yarg',\n", " 'gist_yarg_r',\n", " 'gnuplot',\n", " 'gnuplot2',\n", " 'gnuplot2_r',\n", " 'gnuplot_r',\n", " 'gray',\n", " 'gray_r',\n", " 'hot',\n", " 'hot_r',\n", " 'hsv',\n", " 'hsv_r',\n", " 'inferno',\n", " 'inferno_r',\n", " 'jet',\n", " 'jet_r',\n", " 'magma',\n", " 'magma_r',\n", " 'nipy_spectral',\n", " 'nipy_spectral_r',\n", " 'ocean',\n", " 'ocean_r',\n", " 'pink',\n", " 'pink_r',\n", " 'plasma',\n", " 'plasma_r',\n", " 'prism',\n", " 'prism_r',\n", " 'rainbow',\n", " 'rainbow_r',\n", " 'seismic',\n", " 'seismic_r',\n", " 'spring',\n", " 'spring_r',\n", " 'summer',\n", " 'summer_r',\n", " 'tab10',\n", " 'tab10_r',\n", " 'tab20',\n", " 'tab20_r',\n", " 'tab20b',\n", " 'tab20b_r',\n", " 'tab20c',\n", " 'tab20c_r',\n", " 'terrain',\n", " 'terrain_r',\n", " 'twilight',\n", " 'twilight_r',\n", " 'twilight_shifted',\n", " 'twilight_shifted_r',\n", " 'viridis',\n", " 'viridis_r',\n", " 'winter',\n", " 'winter_r']" ] }, "execution_count": 281, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# so, we can do things like map\n", "# different values to color\n", "# lets say we want to color each point\n", "# by the duration of the event\n", "# lets first start by importing a color map\n", "import matplotlib.cm as cm\n", "# lets list the available ones\n", "plt.colormaps()\n" ] }, { "cell_type": "code", "execution_count": 291, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 291, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# so, first lets grab a color map we like - choose your favorite\n", "cmap = cm.RdPu\n", "# now, lets map duration to color\n", "plt.scatter(ufos['longitude'],ufos['latitude'],c=ufos['duration_seconds'])\n", "# alright, what is going on here? We are supposed to have \n", "# multiple colors plotted!" ] }, { "cell_type": "code", "execution_count": 292, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 292, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JkvqgP84zkGPdd/bl9ih9fbUfnkeSJA2AqmYGImIacBvwMsXp/BOBQ4CPRMT2pdszgcUU1wxcBvwupfREP9YsSZL6UbWHCcYC1wETgDbgCeAjKaU7ImIiMBU4h+InDOYBM4Bv9F+5kiSpv1V7noHT1rNvHnBwnyuSJEk15SWMpYxYtXI1D972GIv+/AZjtmhhvyP3ZPio4fUuS1IDMAxIGXDXjffy/XOv4603lxO5IBUSw0c1c8qFx/PJL3zYT/FIGWcYkIa4e256kG997p3rhaVC8dwiby9byVVfuZ5cLjj6zA/XqzxJDcBLGEtDWKFQ4Orzb1xvnx9f9N+sXLGqRhVJakSGAWkIe+6hF1jw8qL19lnevoKHZj1eo4okNSLDgDSEtS1e2qN+7T3sJ2loMgxIQ9jYiZv1rN+kzQe4EkmNzDAgDWHb7TqJ7XefROS6/rRABGw2YQx7HrZLjSuT1EgMA9IQ94XLTibflCdXEQiKHycMzvruKeTzvhRIWeYrgDTE7bz/jnzr9vN5717brtM+cact+T83/wMHfHzvOlUmqVFESqneNawjIlqAtra2NlpaWupdjjSkvPzcK2vPQLjtLhM92ZA0xLS3t9Pa2grQmlJq7+n9POmQlCGTJm/JpMlb1rsMSQ3GwwSSJGWcYUCSpIwzDEiSlHGGAUmSMs4wIElSxhkGJEnKOMOAJEkZZxiQJCnjDAOSJGWcYUCSpIwzDEiSlHGGAUmSMs4wIElSxhkGJEnKOMOAJEkZZxiQJCnjDAOS3qVjTQcppXqXIalGmupdgKTG0L54KTMun8mt19xN+6KljBg9nA9/9mCO//KRjJ20eb3LkzSAotHSf0S0AG1tbW20tLTUuxwpExa/uoRzDrqQhfMXU+gorG3P5XOMahnBZbMvZNL7tqpjhZJ6or29ndbWVoDWlFJ7T+/nYQJJXPmlH78rCAAUOgosa1/BtM9e6WEDaQirKgxExBkR8UREtJe2ORHxsbL9wyNiekQsjoi3ImJGRIzr/7KlwWdNR4HfPvUC1979MP957+O89ubSepcEwKI/v8F9v3z4XUGgU6GjwNzHX+K5h+fWuDJJtVLtmoH5wHnA/wIBnAz8MiL2TCk9BVwGHAkcD7QBVwI3AQf2W8XSIPTQ8/P46vW3sbB9GflcUEiJaTf9hqM/8H6+fuxhDGuq3/KdPz01r0fv+p9/7CV2mrJDDSqSVGtVvQKllG6paPpaRJwB7BcR84HTgBNTSncDRMSpwDMRsV9K6f5+qVgaZJ6e/zqn/8dNdBSKf3A7vyYSNz/4NCtXreGSz/xF3erbqHmjHvUb1ux6Y2mo6vWagYjIR8QJwChgDrA3sBFwZ2eflNKzwMvA/ut5nOaIaOncgNG9rUlqRFfNup9CShS6ePedUmLmH57j+dcW1aGyovftuwMjW0ast08un2PvI3arUUWSaq3qMBARu0bEW8BK4CrgmJTS08B4YFVK6c2Ku7xe2ted8ykeUujc5ldbk9Solr29itlPv0BKHWw9po2tx7SRi3WPzedzwcxHn6tThTBs+DCOP/eo4oG/LuRywRGf+RCbTdiktoVJqpnezPs9B+wBtALHAT+JiIP7UMM04NKy26MxEGiIeGvFCj475Q98Zp8n2GLj5QAsWDqSnz68O9c/vBuFlCMI2pa/Xdc6/+q8o1k4fzEzf3g3+aYcHR0F8vkcHWsKTPnoHpz13VPrWp+kgdXn8wxExJ3AXOC/gLuATcpnByLiJeDylNJlPXw8zzOgISGlAh1LziVWzgQgorO9+HXmMzvwT7+aSi5yfOnIA/ncYVPqVOk75j72J2Zd91sWznuDMWNbOPzEA9n5gMlEdDNtIKmh9PY8A/2xIigHNAOPAKuBw4EZABExGZhEcU2BlC0rZ5NbNfNd0++df1ePfP/z3Pb0jtz74jZ8Yp/3176+Lmy/xzacucc29S5DUo1Ve56BaRFxUERsU1o7MA04BLghpdQGXANcGhGHRsTewLXAHD9JoCxKy28E8l3uKxTgwd+MZtQdLzDlsTe4/bu3sejPi2tboCSVVHWYICKuofjOfwLFxX5PAJeklO4o7R8O/DvwVxRnC2YBZ6aUXqviOTxMoCGhsPBQ6Pjzu9rbFuf5589sy3OPjSLflEiFXHG6ICXOuOxUPnn2x7p4NEnasN4eJvDaBNIAKSz6BKx5dp22lODvj9meZx4ZRaGj6+PwF/3iHzng6PqvH5A0+HhtAqnBxPCPU7lg4OmHR/LUgxt3GwRyueCGi2fUoDpJeodhQBooI4+H3GaUrxu4/9et5Ju6n40rFBL/8/Bclixoq0GBklRkGJAGSOTGEJteD/mJpZYmVr2dBzZ8aG7126sGtDZJKufJxqUBFE3bwea3w6p7SaseYrs9F9Bxzfqv/rfxmFFs6tn+JNWQMwPSAIvIEc0fIjf6XA495SJGtozo9iQ+uXyOo04/gqaNzOmSascwINXQ8JHN/NMNXyKXz5FrWvfXL3LBe/fajhO/fmydqpOUVYYBqcb2PXJvvjfnYg48+gPk8sVfwU0nbMLJF32a7/zmQkaMGl7nCiVljecZkOqoo6OD1SvX0DximOf/l9Rn9bw2gaReyufz5Ed2fcpiSaoVDxNIkpRxhgFJkjLOMCBJUsYZBiRJyjjDgCRJGWcYkCQp4wwDkiRlnGFAkqSMMwxIkpRxhgFJkjLOMCBJUsYZBiRJyjjDgCRJGWcYkCQp4wwDkiRlnGFAkqSMMwxIkpRxhgFJkjLOMCBJUsYZBiRJyjjDgCRJGWcYkCQp4wwDkiRlXFVhICLOj4iHImJpRCyIiJsjYnJFn9kRkSq2q/q3bEmS1F+qnRk4GJgO7AccAWwE/DoiRlX0+wEwoWz7xz7WKUmSBkhTNZ1TSh8tvx0RpwALgL2B35XtWp5Seq3P1UmSpAHX1zUDraWvb1S0nxQRiyLiyYiYFhEj+/g8kiRpgFQ1M1AuInLA5cC9KaUny3b9DHgJeAXYDbgEmAx8qpvHaQaay5pG97YmSZJUvV6HAYprB3YBPljemFK6uuzmHyPiVeCuiNg+pTS3i8c5H7igD3VIkqQ+6NVhgoi4EjgKODSlNH8D3R8ofd2hm/3TKB5u6Ny27k1NkiSpd6qaGYiIAK4AjgEOSSm92IO77VH6+mpXO1NKK4GVZc9RTUmSJKmPqj1MMB04ETgaWBoR40vtbSmlFRGxfWn/TGAxxTUDlwG/Syk90U81S5KkflRtGDij9HV2RfupwI+BVcBU4BxgFDAPmAF8o9cVSpKkAVXteQbWO4efUppH8cREkiRpkPDaBJIkZZxhQJKkjDMMSJKUcYYBSZIyzjAgSVLGGQYkSco4w4AkSRlnGJAkKeMMA5IkZZxhQJKkjDMMSJKUcYYBSZIyzjAgSVLGGQYkSco4w4AkSRlnGJAkKeMMA5IkZZxhQJKkjDMMSJKUcU31LmCgvb1iFY/e9zxL25czfqtN2XWfbcjlzECSJHUasmEgpcQvfnof13//LpYvW7m2feyWYzjngmPY64Ad6lidJEmNY8i+Rf75j+7h6m/PXCcIACx8tY2vn/kT/vjwi3WqTJKkxjIkw8Bb7Sv46ffv6nJfSomUEtdcNqvGVUmS1JiGZBi4966nWL1qTbf7UyHx7BPzeHXeGzWsSpKkxjQkw8CSxcvI5zc8tCWL36pBNZIkNbYhGQY2H9tCR0dhw/3GtdSgGkmSGtuQDAMHTn0/w0cM63Z/LhfsNmVbxk4YU8OqJElqTEMyDIwY2czf/sNHu9yXywX5pjx/8/dd75ckKWuG7HkGjvzLfRnWvBHXfvfXvLFw6dr2bXccz9n/fDQ77rx1HauTJKlxREqp3jWsIyJagLa2tjZaWvp+TL9jTQdPP/YyS9tWMH7rTdlu8vi+FylJUgNqb2+ntbUVoDWl1N7T+w3ZmYFO+aY8u+6zbb3LkCSpYQ3JNQOSJKnnqgoDEXF+RDwUEUsjYkFE3BwRkyv6DI+I6RGxOCLeiogZETGuf8uWJEn9pdqZgYOB6cB+wBHARsCvI2JUWZ/LgI8Dx5f6bwnc1PdSJUnSQOjTAsKI2AJYABycUvpdRLQCC4ETU0r/XeqzE/AMsH9K6f4ePGa/LiCUJCkreruAsK9rBlpLXztP8r83xdmCOzs7pJSeBV4G9u/jc0mSpAHQ608TREQOuBy4N6X0ZKl5PLAqpfRmRffXS/u6epxmoLmsaXRva5IkSdXry0cLpwO7AB/sYw3nAxdUNra393h2Q5Ik0fu/nb0KAxFxJXAUcFBKaX7ZrteAYRExpmJ2YFxpX1emAZeW3Z4APDtx4sTelCZJkoqz7ANz0qGICOAK4BjgkJTSixVdHgFWA4cDM0r3mQxMAuZ09ZgppZXAyrLnWApsDSztqv8GjAbm9+H+jcyxDT5DdVwwdMc2VMcFQ3dsQ3Vc0PuxjQZeqeaJqp0ZmA6cCBwNLI2IznUAbSmlFSmltoi4Brg0It6gmEquAOb05JMEAKn48YY/V1kXAMWsAsDSalZRDgaObfAZquOCoTu2oTouGLpjG6rjgj6Nrer/h2rDwBmlr7Mr2k8Fflz695eBAsWZgWZgFnBmtYVJkqTaqCoMpJSiB33eBr5Q2iRJUoMbatcmWAlcRNkahCHEsQ0+Q3VcMHTHNlTHBUN3bEN1XFDDsTXcJYwlSVJtDbWZAUmSVCXDgCRJGWcYkCQp4wwDkiRl3KANAxHxtYi4LyKWR0TlhZHK+50SEU9ExNsRsSAiplfs3y0i7intnxcR/zjw1Xevp+Mq9d0sIuZHRIqIMRX7DomIRyNiZUQ8HxGnDGjhPbChsUXE7hFxY+n7sCIinomIL3XRb9CNrdRnUkTcWuqzICK+HRFNFX0abmyVImLHiPhlRCyKiPaI+H1EHFrRZ4NjbUQRcWREPFD6+VsSETdX7B+U4+oUEc0R8VjpNWOPin0N9Vq4IRGxTURcExEvlr5fcyPioogYVtFvUI2rXER8ISL+VKr9gYj4wEA916ANA8Aw4OfA/+2uQ0ScC1wMfBPYGZhK8SRInftbgF8DL1G8/PJXgAsj4u8GruwN2uC4ylwDPFHZGBHbArcCvwH2oHh1yR9GxEf6sc7e2NDY9gYWAH9N8ft1MTAtIs7q7DBYxxYReYp1DwMOAE4GTgH+taxPo46t0q8onqPkMIrfs8eBX0XpjKQ9GWsjiohjgZ8C1wK7AwcCPyvbPyjHVeFbdHGa2gZ9LdyQnSj+DTud4uvFl4HPA//W2WGQjguAiPg0xev2XATsRfH3bFZEjB2QJ0wpDeqN4i/jm120bwIsBw5fz33PAN4AhpW1fRN4tlHHVVH7bIovyAkYU7bvEuDJiv7/Cdxe73H1ZGwVfacDdw/2sQEfAzqAcWVtnwfaOn/+Gn1spXo2L/28faisbXSpbWpPx9poG8VwMx84bT19Bt24uqj/GeD9pe/XHmX7Gva1sMoxfgV4YSiMC3gAuLLsdo7iqfrPG4jnG8wzAxtyBMX/vK1K083zI+L/RUT55RD3B36XUlpV1jYLmBwRm9Sy2GpExPuBfwE+S/HUz5X2B+6saJtVah9sWin+MncarGPbH/hjSun1srZZQAvFdzWdfRp9bIuB54DPRsSo0hT56RRndB4p9enJWBvNXsBWQCEi/hARr0bEbRGxS1mfwTguACJiHPAD4DMU3yRVGpSvhV3o6vVi0I2rdKhjb8peD1JKhdLtAXk9GMphYDuK4/sn4BzgOGBT4I6yY0rjgdcr7vd62b6GExHNwI3AV1JKL3fTrbtxtUTEiIGsrz9FxAHAp4Gry5oH69h68rPW8GNLxbcoU4E9KV5F7W3gXOCjKaUlpW6D7veK4usFwIXANyheon0JMDsiNi3tG4zj6rza7I+Bq1JKD3fTbVCOrVxE7ACcDfxHWfNgHdfmQJ6uax+QuhsqDETEN0sLW9a37dTDh8sBGwFfTCnNSsWrJv4V8F7g0PXes5/187imAc+klK4fyJp7qp/HVv64uwC/BC5KKf26/yvvUQ0DMrZG1NOxlv6wTKc4E/Ah4APAzcAtETGhnmPoShXfw87XwotTSjNSSo9QvABbAo6v2wDWo4qxnU3xUM60OpfcI735vYuIrYDbgZ+7eOqUAAADZ0lEQVSnlH5Qn8oHt0ZbBfvvvHP1w+680MPHerX09enOhpTSwohYBEwqNb0GjKu437iyff2lP8d1GLBrRBxXut158ahFEXFxSukCuh9Xe0ppRQ+fp6f6c2zA2sMgdwFXp5S+UbF7sI7tNYp/OMtV/qzVcmyVejrWwyi+a94kvXNJ1TMj4giKC+q+Sc/GWis9HVdnkCl/vVgZES+w7utFo4wLqvue7Q+sjFjnWnMPR8QNKaWTqd1rYU9U9XsXEVtSXHR7H1C5MLCRxlWNRZTWp1S0j2OA6m6oMJBSWggs7KeHu7f0dTLFhUGUpvs2p7iyFGAOcHFEbJRSWl1qOwJ4rmzKs8/6eVzHAuVTxlOAH1F8lza31DYH+IuK+x1Rau9X/Tw2ImJn4G7gJymlr3XRZbCObQ7wtYgYm1JaUGo7guJ1x58u61OTsVXq6VgjYmTpn5VrVQq88+66J2OtiSrG9QjFi8FMBn5fatsI2IZ1Xy8aYlxQ1di+CHy9rGlLisfNP01xkRrU6LWwJ6r5vSvNCPyG4nqVU0vH1cs1zLiqkVJaVfqZPJzizBsRkSvdvnKgnnRQbhTT+h4UF9ItLf17D2Djsj43A09S/BjQLsAtwFPARqX9rRRT1nUUFwB9GlgG/F0jj6ui/yG8+9ME25bG8S2KH785E1gDfKSRv2el79ECih/vGl+2bTEExpYH/kjxRXh34COlsf5bo4+tYpybU3zXMqM0jh2BbwOrgN17OtZG3Ch+lHM+8GGKoeCHFI/RbjKYx9XFOLfh3Z8maLjXwh6MYyvgfykuqtuq/DVjMI+rrPZPU1yTczLwPoprIZZQ9mmWfn2+eg+4D/9RPy79QFduh5T1aaH4WfwlFFdB3wRMrHic3YB7Sv/p84GvNvq4KvofQkUYKGv/A8V3O3OBUxr9e0Zx8VZX+/802MdW6vMeYCbF1dwLge8ATY0+ti7Gug/FP4iLKb4rngN8rKLPBsfaaBvFNUbfoRgA2oE7gJ0H+7i6GOc2VISBUntDvRb2YByndPM7lwbzuCpqP4vizNRKirM4+w7Uc3kJY0mSMq6hPk0gSZJqzzAgSVLGGQYkSco4w4AkSRlnGJAkKeMMA5IkZZxhQJKkjDMMSJKUcYYBSZIyzjAgSVLGGQYkSco4w4AkSRn3/wF7AXbzz7wuaAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# we can see what is going on by plotting only a few points\n", "plt.scatter(ufos['longitude'][0:10],ufos['latitude'][0:10],c=ufos['duration_seconds'][0:10])\n", "# we see here that while yes, points are different colors, there is a lot of small\n", "# times (purple) and these are being plotted over all the rest\n" ] }, { "cell_type": "code", "execution_count": 293, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 293, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# there are a few ways around this, one we can do our plot as a log\n", "plt.scatter(ufos['longitude'],ufos['latitude'],c=np.log10(ufos['duration_seconds']))\n" ] }, { "cell_type": "code", "execution_count": 295, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 295, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# its still not that much detail though\n", "# so, we can use our histogramming techniques\n", "# to rebin this data in the 2d space!\n", "plt.hexbin(ufos[\"longitude\"], ufos[\"latitude\"], ufos[\"duration_seconds\"], gridsize=32, bins='log')\n", "plt.colorbar()\n", "# so here we are now plotting the locations of UFO sitings in \n", "# hexbins, AND we are showing how long, in log(seconds) each \n", "# bin's ufo sitings typically last (as a sum over all values in each bin)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Activitity the Last: Smoothing 2D data => Smoothing Images" ] }, { "cell_type": "code", "execution_count": 300, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 300, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# lets begin by uploading an image to play around with\n", "import PIL.Image as Image\n", "im = Image.open(\"/Users/jnaiman/Downloads/stitch_reworked.png\", \"r\")\n", "\n", "# recall what this image looked like:\n", "fig,ax = plt.subplots(figsize=(5,5))\n", "ax.imshow(im)\n", "\n", "#data = np.array(im)" ] }, { "cell_type": "code", "execution_count": 302, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 302, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# so, lets say we think the little \n", "import PIL.ImageFilter as ImageFilter\n", "\n", "myFilter = ImageFilter.GaussianBlur(radius=1)\n", "smoothed_image = im.filter(myFilter)\n", "\n", "fig,ax = plt.subplots(figsize=(5,5))\n", "ax.imshow(smoothed_image)\n" ] }, { "cell_type": "code", "execution_count": 306, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "636332c763ad4de79ef608a3072d01ec", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=5, description='radius', max=10, min=1), Output()), _dom_classes=('widge…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# we can also do this interactively to see how\n", "# different sized gaussian filters look\n", "# (note: a gaussian filter looks similar to a Hamming \n", "# window that we played with before)\n", "\n", "@ipywidgets.interact(radius=(1,10,1))\n", "def make_plot(radius):\n", " myFilter = ImageFilter.GaussianBlur(radius=radius)\n", " smoothed_image = im.filter(myFilter)\n", "\n", " fig,ax = plt.subplots(figsize=(5,5))\n", " ax.imshow(smoothed_image)\n", "\n", " \n", "# so, again, if we wanted to show off our digitized\n", "# drawing, certainly use this to \"smooth\" out the image\n", "# however, note that if the radius gets large in \n", "# pixels, we loose a lot of information about our\n", "# drawing\n", "\n" ] }, { "cell_type": "code", "execution_count": 308, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0 22 33 126 255]\n", "[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n", " 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35\n", " 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53\n", " 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71\n", " 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89\n", " 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107\n", " 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125\n", " 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143\n", " 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161\n", " 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179\n", " 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197\n", " 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215\n", " 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233\n", " 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251\n", " 252 253 254 255]\n" ] } ], "source": [ "# also note, that when we apply *ANY* smoothing\n", "# we are changing the color profile\n", "\n", "# our originonal image was, if we recall, had a limited\n", "# number of colors colors:\n", "print(np.unique(im))\n", "\n", "# print out unique pixels\n", "myFilter = ImageFilter.GaussianBlur(radius=1)\n", "smoothed_image = im.filter(myFilter)\n", "\n", "# this is not the case for the smoothed image\n", "data = np.array(smoothed_image)\n", "print(np.unique(data))\n", "\n", "# here, we have *ADDED* data values that are \n", "# *not* in the original dataset\n", "# This is the downside to smoothing\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0e9a3d724c6443319708f7a611e1de77", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=46, description='radius', min=1, step=5), Output()), _dom_classes=('widg…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# just for fun (and to see the comparitive effects of smoothing):\n", "import PIL.Image as Image\n", "import PIL.ImageFilter as ImageFilter\n", "import matplotlib.pyplot as plt\n", "im = Image.open(\"/Users/jnaiman/Downloads/littleCorgiInHat.png\", \"r\")\n", "\n", "import ipywidgets\n", "\n", "@ipywidgets.interact(radius=(1,100,5))\n", "def make_plot(radius):\n", " myFilter = ImageFilter.GaussianBlur(radius=radius)\n", " smoothed_image = im.filter(myFilter)\n", "\n", " # plot originonal image\n", " fig,ax = plt.subplots(1,2,figsize=(10,5))\n", " ax[0].imshow(im)\n", " ax[1].imshow(smoothed_image)\n", "\n", "# note how pixelated the last image becomes\n", "# the upshot is that when we give up detail we \n", "# can then remap our data onto a larger grid\n", "# if we set radius == 100, we can almost \n", "# represent our little corgi with a single\n", "# pixel at 1 color\n", "# Something to consider going forward" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }