{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series Analysis 1\n", "\n", "In the first lecture, we are mainly concerned with how to manipulate and smooth time series data." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import os\n", "import time" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import gmaps\n", "import gmaps.datasets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dates and times" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Timestamps" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "now = pd.to_datetime('now')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Timestamp('2018-11-04 17:15:19.437536')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "now" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2018, 11, 44, 4, 17, 15, 19, 437536)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "now.year, now.month, now.week, now.day, now.hour, now.minute, now.second, now.microsecond" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "('November', 'Sunday')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "now.month_name(), now.day_name()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Formatting timestamps\n", "\n", "See format [codes](https://docs.python.org/3/library/datetime.html#strftime-and-strptime-behavior)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'05:11PM 04-Nov-2018'" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "now.strftime('%I:%m%p %d-%b-%Y')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parsing time strings" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `pandas` can handle standard formats" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "ts = pd.to_datetime('6-Dec-2018 4:45 PM')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Timestamp('2018-12-06 16:45:00')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### For unusual formats, use `strptime`" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "ts = pd.datetime.strptime('10:11PM 02-Nov-2018', '%I:%m%p %d-%b-%Y')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "datetime.datetime(2018, 11, 2, 22, 0)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Intervals" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "then = pd.to_datetime('now')\n", "time.sleep(5)\n", "now = pd.to_datetime('now')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Timedelta('0 days 00:00:05.004077')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "now - then" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Date ranges\n", "\n", "A date range is just a collection of time stamps." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "dates = pd.date_range(then, now, freq='s')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DatetimeIndex(['2018-11-04 17:15:19.500621', '2018-11-04 17:15:20.500621',\n", " '2018-11-04 17:15:21.500621', '2018-11-04 17:15:22.500621',\n", " '2018-11-04 17:15:23.500621', '2018-11-04 17:15:24.500621'],\n", " dtype='datetime64[ns]', freq='S')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dates" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(then - pd.to_timedelta('1.5s')) in dates" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Periods\n", "\n", "Periods are intervals, not a collection of timestamps." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "span = dates.to_period()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "PeriodIndex(['2018-11-04 17:15:19', '2018-11-04 17:15:20',\n", " '2018-11-04 17:15:21', '2018-11-04 17:15:22',\n", " '2018-11-04 17:15:23', '2018-11-04 17:15:24'],\n", " dtype='period[S]', freq='S')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "span" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(then + pd.to_timedelta('1.5s')) in span" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lag and lead with `shift`\n", "\n", "We will use a periodic time series as an example. Periodicity is important because many biological phenomena are linked to natural periods (seasons, diurnal, menstrual cycle) or are intrinsically periodic (e.g. EEG, EKG measurements)." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "index = pd.date_range('1-1-2018', '31-1-2018', freq='12h')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can shift by periods or by frequency. Shifting by frequency maintains boundary data." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "wave = pd.Series(np.sin(np.arange(len(index))), index=index)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-01 00:00:00 NaN\n", "2018-01-01 12:00:00 0.000000\n", "2018-01-02 00:00:00 0.841471\n", "Freq: 12H, dtype: float64" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wave.shift(periods=1).head(3)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-30 00:00:00 0.436165\n", "2018-01-30 12:00:00 0.992873\n", "2018-01-31 00:00:00 0.636738\n", "Freq: 12H, dtype: float64" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wave.shift(periods=1).tail(3)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-01 12:00:00 0.000000\n", "2018-01-02 00:00:00 0.841471\n", "2018-01-02 12:00:00 0.909297\n", "Freq: 12H, dtype: float64" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wave.shift(freq=1).head(3)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-30 12:00:00 0.992873\n", "2018-01-31 00:00:00 0.636738\n", "2018-01-31 12:00:00 -0.304811\n", "Freq: 12H, dtype: float64" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wave.shift(freq=1).tail(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Visualizing shifts" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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Xp1/ecbr+Tr3F3IiIYbfZcS5i+dy+UlVgQJImnoihmEszm+/vP7pkddp0kg3DcBJ4aeD3K/5jByAidwNngD8aeLggIhdE5EkReY+F4wkM7ZGOujjjihjuXi7u8djj1EtarzR6+QWNs1pMz3GeQZ/fkRFDw+35v7K5u4df1tCc+0bV7fo7tTa7zU6vh0Hj2PxMPDkGHTHM7j3/b/DF5FzmGdqdLrvNznAqqRhPufjFGxXumM/vOYZiLkMxl44lx7BWbhxwSnTJ6rR7GWwYBhny2CiC7H3Ax5VSgzHqKaXUeeAHgV8VkXNDFxF51DcgF9bW1syO2MeOjhhGhLPVGLyWy+uVXg21xlIxRyqmSW6jIgZw77WMMwxeZYrbiKE8pFQZ+tSK6wS0VpLdHzEcj0kWQwvolfJ7z8HqnCeo+NRLWyPeaY7yhHsP4jAM5T3RgkZc3c/D7r0TiwV/mtt0K5NsGIYrwF0Dv98JXB3x2vexj0ZSSl31/78M/Anw+mFvVEo9rpQ6r5Q6v7q6anrMQL8ccnjE4L5kstXp8uLN3Z7csoYn5hVP9/N6uXng4lyYybJSyjkvWR1rGGLgmUcZhriopGv7up41ji0U2NptOZ8ip5vb9jeYgZcEd6kwq7/bYRHDfAyGQSnli+cdjBiXY7r3tIDeIDLpFHctFafey2DDMHwJuFdEzohIDm/zP1BdJCLfBiwBnx94bElE8v7PK8CbgWctHFMg9HMM0wlnX9zYpd1VByIG0N3PbjemaqNNrdU5YBjAS4a7FtPTfSLDkv9zBa9c1VV1RqPdodnpMpcfFzG4NUxXfbpoMPkM/V4G11HDRrV5IL+gMV9wWy6so8HhFWnu771r23WqzQ7nhkQMK6V8LDmGYTQucEuorBobBqVUG/gA8Cngr4HfVUo9IyIfFJHBKqP3Ax9Te+/01wAXROQrwB8Dv6yUis0w9LyWIeGsVtl0WZmixfP2RwygL063Xku/KuLgxXkmhpLVbb/BaVCORGO+kKXTVew68pr1pjcsWizm0uTSKedU0tWtGpmUHDDMx3pNbm4rkwYF9PajlM84HfHaz++NppJcRus68XzvUMOQc55jaLa7bO62WC0VDjynS1anOWb14LcSAUqpTwKf3PfYz+37/X8Z8r6/BO63cQxRMI5KiiOcvexvvGdHRAzffNHtxtxvbhsSMazO8jsXmkO1jGxhZ8zfnhuQxZgd4tWbom8YDv5tEWFpNutcFuPaVo1jC4UDhvF4TLIYG7vNoRsjuC8XHkclxZFj2C+eN4jlUo6NapNuV5Ea4rTYwM3qwR4GjTMrReqtLjfKjZ6TEDcOdedzud4mJTDr66QMIg6v5dKNCiul/NDNMQ69pDX/7+/nOaFvrFxGDeOMjo7iXOUZKr5h2J941fC6n91TSSf2JZ6h3/3sumR1UEBvP+YKXsTgisrrU0ljks8Oz//FG2WWilmWh3z+5dk87a5ymuPS9/awaP1WKFk91IZBi3gNS77F4bV44zwP0kjgefG1Voeqw3B+WIONhq5MclmyuhUoYnBz/seVKoOW3nZPJR1fPOgRzuTSLBazTiOGYQJ6gygVMrQ6ioajJsc+jXtw/VwmxUw27XRjvnijwj3+/JP90BG0Syp3reJ9t8MihtO3QMnqoTYMo6pSIB6v5dJaZSiNBPQ8GZdNbvrCXx7itZw6UiSdEqeVSZ6A3oiIoSek58Yw7oyhksB9xNDtKl7ZqR9IPGscm3fb5DZMQG8Qc44VbnfqbUSglBt9/7l0yp67UeGeIRVJACuz7pvcdMQwzDCcWJwhl05NtTLpUBuGndpwrRboey2uLs6NapOt3dbYiAHc6iWtVxosFrNk0wcvg1zGU3qcFpWkNyZnVFJjvGFYLOacRgzrlQatjtqjkzQIb8Snu+TzMAG9QehqLVcR206tRSmfGcnhuzQMjXaHrd0WJ4dEa+ANygK3TtnamGg9nRJOLRcTKmla8FryRyc2XV6ceqbx3cvDDcNqDJotw3oYBnF2teR0YM/gWM/96OcY3Hisk6gkLb3timMf1dymcdzxJLdhAnqD0PeFq8qkUQJ6GvMz7qa4VcZUpMGAkF7VIZVUbjBXyFDIHsxvApxeLiZU0rQwSvZXw6Vh0DfcKI85DjGv9crBBptBHFsoOFtfCxiOTD47zzGMTz4fmc3R6SpnhunaiB4GjWPzM6xXms6E7EYJ6GmUehGDI8NQa490CkDfe27W1vfeuMKDlPSnG7rA2oR77/TyLN+8uTu1ktVDbRh2xnis4NYwBNmYwH2OYVipqsacw5kIW2OUVQHymRS5dMpZjqHSaHtrZIbfAnp4kCs6qTe5bQSdoZvcbuy42ZxGCehpuM8xjI/W5x2KWPbuvRHre8oDOdYdliuvlcffe6eWizTa3VikOYbhUBuGcclncCu9PYnjzmVSLMxkHUcMzaHlchqlfIZGu+tEfruvrDp8fRHxu5/dVSWNohKAXrWOqwT0te06M9n0SMN4zHH38ygBPQ19XbqM2KYdrQ/retdYns07bXJbrxwU0BuEPjcumwzH4dAahk5XUW6MvzgXiy4jBu/vjooYQMtiuKNyKo322ByD9qhclMyO00nS8PSS3FXFDJNb11h0LKSnS1WHlUuC+xGfowT0NPqGwRWV1Braw6CxMJOl0nAzLKkyIWIAX0jPZfJ5iE7SIPT3UnEoSzIOh9YwVCaUK4Jjr8Vff1xXr8smt970qCAX55QMg8uIoVJvj90YlhwL6V3drnNyRH4BBiIGR7IY4wT0oH9dTiv53GswdbAxTsoxgFeZ5NIpK9fbYyMGfW26lp4fhUNrGMY12Gi4HBgyieMG3zA4qozYP+t5GFx6jXrDHRsxFFzyzOM57p6QnqOZDNe2ar2oYBjmCllK+Yy7iGGMgB54g+lnsmknhrnbVVQak5PP4EZ5oNwYX5UEWi/JjVMwTqNMI4kYpoRxWi0aLrufy43x+Q3wqSRHlRHDBpHvRynvjufsRQwjGtzAK1l0RWWU623m8uNprJS4oZKa7S5rlcbIUlWNYw5LVscJ6GmUCm6E9CrNNkoNn5yo4fTeGyPgp7FSylNutKm37FeFDZv1vB8uo/UgOLSGYdxYTw2XF2el3h4byoJ3ce7U205KFsfJYWiUerXs9j//Tq2FyPgE4Fze3UyGygTDnE4JCzNZJ4bhlZ06SjGWSgIvz+AyxzCquU1jrpBxQuXoKGB8H4Pbey+TEvJjovXl3hQ/+9+/dsqGKatqlBz3kUzCoTUMvYszQDjr5OJsjOe4od/97CKk1ZHIMDkMDZe17Nt+1/k49UqXc5/LE3IM4E4WQ5eqDtNJGsSxeXcRwzgBPY25QtYJlTFOQE8jjntvVH4F+t3PLvIMOmIYR+O67iOZhMNrGMYM6dFw7bVMihhc6iWtVxrMFzLkM8M7L8Ft92sQOe+5QpZay36Op+Nz3OM4ZnAnpKejgCBU0o1y3XpljhbQG5djAN3H4iBanDKNGyxad3fvacOwPDs6Ws9nUmTTkkQMcSMIz+g6AVYaw3GDW5XH9UpzbIMNuE2AjVNW1Zh3lPyuNifTiOBHDA6Sz3qzm0TlHFso0FX29bK0gN6kHMOcoxzDuCFJGq7ze0FoXHB173kaZeMKT0S8UuLbOvksIu8Uka+LyEUReWzI8z8qImsi8pT/78cHnntERJ7z/z1i43iCQIezQQyDm3B2fFUM9EtJXQjprQ0ZRL4fxVwaEXcRw+SNyY0sxqSuc42lWTdCevp8zuZHR2vQ72W4umWXTpokoKdRctT53qdxR5//QjZNLpNy4pRVJjS2wqBekpuIYVyZuIar5H8QGI/GEpE08GvA24ErwJdE5IkhIzp/Ryn1gX3vPQL8PHAeUMCX/fdumh7XJJTrLYq5NJkhyqIa2jBsOeCZA1FJJS3/68Zrec2x+bGv0V6LqxzDKJ0gjflexGZ3/UkCehpLxWxPbM7u+m1y6dRYGg/6VINt4zRJQE/DWY4hAJUE7vqIvMbO8Z+9mMswk007qQpcm9D1rFHKZ2/rHMODwEWl1GWlVBP4GPBwwPd+H/BppdSGbww+DbzTwjFNxKQGG/BkKYo5+9LbSqlAyediLkMxl3bS5LZebky8OcDjmV14LePGevbWdiTLEKS5Ebzu53qra71ksdJoTfzuwV2T2SQBPY1SIUOl2bYu5BYkWge3hqE04d4Hv/vZSVXS5Ggd9L13+za4nQReGvj9iv/Yfvw9EfmqiHxcRO4K+V7r8NQdJ9+cLi7ORrtLq6MmRgzgcZ225X8b7Q479fFyGBqlgn2eUynF1m6QHIObmQyTRNQ0lhzJYlQbnYk0ErhL/k8S0NOYL2RQyus7sIkg0Tp4956LcuVygGgd/AZTR1VJgSKGKVJJNgzDsJqv/S7GHwCnlVKvAz4DfDTEe70XijwqIhdE5MLa2lrkg9UoN8aLqGm4MAyTBPQG4UIvSVdaTEo+g8cz2744d5sd2l3FYsCIwXYtfZ/KmGQYfCE9ywlob2OafO25Sv5PEtBzvX6QaB2872da+T1w0/1cbbTZbXaCOWW3efL5CnDXwO93AlcHX6CUuqmU0rvb/w28Ieh7B/7G40qp80qp86urq8YHvVMbL6Km4UJhddIg+kG40EsK0tymUSpkexICthBEJwkGcwyuDPOkclU30tuVRmtsY5+GTv7bFjGcJKCn4Up6e5rReqvTpd7qBjr/y7P2Iwb99w5DxPAl4F4ROSMiOeB9wBODLxCR4wO/vhv4a//nTwHvEJElEVkC3uE/5hw7E2SXNRYc6MIHEfHScCHm1WuwCZpjsBzOBzUMrpp8glYl6aod201uQfJL4Cf/cxnrhnmSgJ6Gq873oBHDwkzW+sz1IMqqGsulHBvVptUcSxA5DA2X81AmwbgqSSnVFpEP4G3oaeAjSqlnROSDwAWl1BPAfysi7wbawAbwo/57N0TkF/CMC8AHlVIbpscUBOV6cK/lacuGISjHDbBayrGx26TTVaTHdAmHQaiIwQGVFNQwpFPCXD7jIMfQIp0SirnxPL+mkmxXJlUbHWZXgt16LnI8kwT0NFxReeX65Kog8K6PcsNLfo/rkA+DME7ZSilPu6vYqbd60aMpggjoaeh5KK1Od+hcdpcwNgwASqlPAp/c99jPDfz808BPj3jvR4CP2DiOoFBKeXrw084xBOCZV+byKOXdzEG8jCDoabUEDWctbwy6/HecHImGJ71td31dKjzJY+5RSZYrU4ImP8GNYQ4ioAf9HIyLHMPZ1eGzzvesP5NFKe98jRNbDINywIo0GCwXb1ozDGEihsF5KLbWD4pD2flcb3Vpd1VgKmm32bE6xUyH5kEiBhcdmGvlBqX86EHkgyjlM1SbHToWw2lNzQXanBxQeUE35lwmxWwu7YBKCpb8BK9k1X5V0mQBPeir69rPMQR3ysBug2k/YgjglLm49ypNRCZXhMF09ZIOpWHoz2IIRiWB5YszjNcya7/JzaujDuaB6GOsWixZDEolgVeyan1jCtD5qrFYtNv93PaTn0EjBheyFJsBBPT02mA3x6CU8qbnTeveC+GULTvQS9qsNlmYyU4s1QW3WmWTcDgNQwDZXw0XF2c5DM/pQGH1ZqUZKL8AbkoWt2sexx/k83vSz/Y99iDfPXgJaJt9DNWG1yw3bnLfIGyXLAYV0AOvKioldj3WWsuLPqd274WoCNSd5zb7iCbJvQ/C5TyUSTichiGEx665TdsRQzY9Xg9eY2XWfji7U5/cXKbhQhd+q9ZkfoLssca8gyancqiIIWuVStKjGoOUS4JP5Vk890EF9MCNJEq/6zkYjQh2GxzD9BAdmc0h0s/J2Vo/CI0FA/deQiXFgyBjPTVcKKxWGsGSnzAw+9XixVENWC4JbnjO7Vo7sGFykXwOMotBw5vJYHdjgGBUBniRhc1y1aACehpzlqm8W4XGDRIxpFPCkaLdBlOv8GFybg8G7r0kYogHQaa3abi6OINuDOmUMJtLW/UaK412YCrDBc+5XWuxELDKQucYlLKX/J4073kQS8Vsr1PYBsJsTNDPMdj6/EEF9AbXt6lVNW0at9JoI8LEUmUN2zM5tFMYBHNJxBAvpn1xBpnFMAjblSnevOOQPKflHEOYiKG/yZosAAAgAElEQVTTVew27QjZaQHDIFQGeMnnnXrb2rCcvuR28IhNKax9/qACeoPr27z2wkTrxVyaTEqs5xiCRuvgdf5XGvZEFIMK+MHg3Of4hfQOp2GIQCXZjhiCbszg0Q62wslWp0ujHbwqxkX3axBlVQ3bPHMYAUPoN7nZ+v7DcNzQNyC2IsagAnoatqm8MH0EImK9j6jSCHfv2e78DxMx9OahJBFDPCiHSP5m0/alt4NKImjMWaxMqYbkuF3kGLZ2mywE4JhhUHrbzvpBBfQ0lizLYkShksAezxxUQE/D85htJp+DR+tgv8G0HFAKR8N2xBQmx9BL/ic5hnigG2yChpMuvJagGwN4m7gtj1FvsGGoDLCXY9B17IszwXMMYC/53+8hCbY52JbeDpt8tl0uHFRAT8N6jiFExAD2GxzDOmXevWeHSmp3utRanVA0sk2nMAwOpWEIU64InmGwOcUtTFUMwGzOntfSl+MInvwu5tLWLs5KwyuXDJNjAHsRQ5g6dhgwDJYS0L0cQy6cYbDlGAQV0NOwLeS2U2uRz6QCdd2DfXXjIJMTB+GV69pZXxuYUPe+o0FZk3AoDcNOvRUov6Bh22sp14PJLmuULPK8YT1WsBtOh+l6Bvs5hjAcN/RlO2w5BpV6m2IuHVgQUUd2tuiEoAJ6GnMFT8jNliSM13Ue/N6zrW5cDhsx5O1VhemBR0GpJJie9PbhNAwBtVo0bFJJzXa45C/YHa8ZRl1Sw2byO4yAHthX+NRJ9MBU0qx9KinUd2+5ZDGogF5/fbvdt55TFiZatzusJ0rhR1d5Hds21oZgOk299ackvX0oDUNYKmnRomEIm/zVr63a8lpCUilgl+fcCRsxWM4xhOW4Z3NpsmmxlnyO4rGCvY05qIDe/vVt0SlRnLIdi30sofN7Fs9/GJ0mDRdaWUFwKA1D0EEhGjYjhige+2w+Q7uraFgI5yNRSRYvTn0eg3qthWyaXDplPccQ1DCICEsWhfSqITemWQeGIWhzG7ioCmuHonEXZrJ0usrK59f9MJEMs4XPr/shwhqmJPkcE4KOFtRYmMlSa9mR3g67MUE/UWzj5owSMdi8OMPmGMCTT7CVY4jy+ZeK3iQvW+uHWTufSZFNiz0qp9YO5RTZlmQp11uBS4XBbh9RJBrVZsQQ6d6zWy4cFFYMg4i8U0S+LiIXReSxIc//pIg8KyJfFZHPisjdA891ROQp/98T+99rGy2/ZCxUAsxik1MYPXiNwYEdttYPWhUDdi/OSIbBol5Pud5iJpsOJHus4cki2IsYw2wMupbdhmFutDs0O91QTok2IvaopPDJZ7B774X5/DaF7KJQSTpatzleNAiMDYOIpIFfA94F3Ae8X0Tu2/eyvwLOK6VeB3wc+N8GnqsppR7w/73b9HgmIYxOkobdizP8xaE3cTs8Z5vZXDrUqESbtexbtRaZAGM1969vK8cQNr8EXsSwVbMTMYQtVQZ7VF6YOSC9tS1TWWGTz/M2772IyV+w8/nDlkpDny2wOQ8lCGxEDA8CF5VSl5VSTeBjwMODL1BK/bFSatf/9UngTgvrRoLe4MJ4LTYvzigXh81wPoyAX299iyV72zWvKiZoHT3Yld4Oo4evMWdxvGm1GS5iAHt9LFGoFJs5hrpPx4ahsmwWH0RN/nrvNf/8vVkcIZwiF7L3QWDDMJwEXhr4/Yr/2Cj8GPAfB34viMgFEXlSRN5j4XjGQuvBh02AAWxb8BqjhLNzFgd2hKUywG7J3nYtXA8J2NXr2am3AouYadgq11VKhc4xgD3DZOKU2PSYo9175oZhJ8Lnt5n8rzTC05guBmUFQbgrdDiGuX5DXUsR+WHgPPA9Aw+fUkpdFZGzwB+JyNeUUpeGvPdR4FGAU6dORT7YsFo5YJlKMrg5beUYQhuGgYuzGCI3MQxhBPQ05gv2mpzK9Xao7x76fSRKqVCRzn402t6s8SgRm41hMVEq0vKZNLlMykrEFuneK+qIwR6VFmZ9m1phYeU44PaOGK4Adw38fidwdf+LRORtwM8C71ZK9SZfKKWu+v9fBv4EeP2wRZRSjyulziulzq+urkY+2ChUUs8wWEhAhtWDB5j1OyVteK1RLk6bQm5bu+ENg82IIQqVVCrYkb7uVaSFpZIsTXHr5RhCcOze6+1ELGEF9ABKuQwpsVz4Ecow2qsKqzQ6ob/7Ocs5nqCwYRi+BNwrImdEJAe8D9hTXSQirwf+FZ5RuDHw+JKI5P2fV4A3A89aOKaR6FNJUSIGO+F0GD14GKCSbOUYDCIGU4SZxaAxX/DKhVsWZiJ4ciQhqaS8rswx+/x6cw8qYKgxZ4nKirIx9ta3YRjq4e+9VEqs6SVFidZ1VZgdw9wK/d1Pa7ynMZWklGqLyAeATwFp4CNKqWdE5IPABaXUE8A/BUrA7/kb4ot+BdJrgH8lIl08I/XLSim3hiFCxGBTejusHjxAIZsinRIrMxHCzJzVsFmZsV1rsRghYgBvYw7TtTsMUauCQCcvC5HXjpL81a+3kmOIur6lqqhyPXzEAPYaTPXnD1OqDb6QnS0qKaJTFrf0to0cA0qpTwKf3PfYzw38/LYR7/tL4H4bxxAUO3WPygm7OduSxYhSFdT3WizotTSC68Fr2KqK6nYVO/UIEcPA3G0Tw6A7X0NXJVnimXvJ39A5Bi9iane6oRKX+xGlXBW8iNVGubKO1sM4ZWDPMOhoOUypNmBtJkK53uauI8VQ77HJFoTBoet83qm1Il0c1sLZCF4D2BHT0mMtQ1MJlqqiyo02SoWrSoH+RmL6+cPOYtCwlQDUdERYKkvnmKqGOY5Kw+shCTKgahD2qCQtoBju+rNmGBqtSPeeraqwajM8W6C/+9sxx3BbwatKCXdjgj3533KIma+D8HoJzNavt7p0uio8ldTjOc3W18n78DkGb33TypgejTilHEt/3nO4iM1WLb2OVsNWVtmSfd/xmxtnAs5i0LBVlRbFKQLv+7fRYFapt0PnGDLpFDPZdGIYXGOn3godSoPNcDba+jZ43qjJx15VlOHm0BfQC0cHzVmSZYjSQwL2eN5yxPNfskQnlCNGq/OWxnvqOShhDZOtaL0cofAC7OQYokbrYHceS1AcOsNQDjmkR8NeOBs+nAQdMZhSCTr5GM5j07XspptDFJ0k6FMPprXs5YhUkq2ZCFHLRW1RWVEq0sBe53uUHhLo33um60cpVQY7VWGNdpdWR0WjsqYwxe3QGQZPXTLaxWlDL8fo5jT1mCNoxWjMWUjAacMQlmPWG7kplaQjjvARk70cQzolFLLhbruSJZ7ZZGPUiXsT7NRaoY0yePdeu6uMO++jRgw2qsJ6c1iirF8wv/fD4vAZhpCzGDQWZrLUW10a7egXZ6erqIbUg9ewMV6zrLViIl+cph57tHLFuXwGEfMpblGppKwlnlcLGIbm+C1RSZELHyxFLN4shmhOGZg3uUV3yryqsI6BwmnUUmX9niRicIwo6ppgh06oNk29BlOvxTNqkXIcFi7OqDmOVEqsDGUPO71tEDZ43nLIeceDawPGxQde8jlCtGgpxxN2epuGNcPQiHb+bVQGRS1VhumM9zxUhkEpFTnHoG8ok4sjah056MqIjpEuu95YwlZG6PVNDVNPxCyC3pJXmWInYgnL8XvvsWEYo5VLlnqy64ZUSsSIwWYfRxTDYCPH1O1GT/7aqArrlypPp/AkLA6VYag2O3RVeCoD7MgPRxnSo6FvaJOyuSiSABo2EnBRG4x661vIsWQicPxgh+etNqLRiD2P1ULy2yRaNjUMUSsCbUQs+r6JVvhhTuX1S5UTKumWg66FNrk5TBKgRuGkBa+lHJFjBzt9FOWIGwP4EYNx8tnbGKMopNrJ8YSvY4fBWvbon7/tTy6cVo6h1emy2+xEi9YtJP+j0piD7zE5/0br+9G6jXkoQXG4DEOv8zIKlWDPa4iagDJdX1fFhO18BVvJ52geK/hzny1QSVFuTLDD81bqrUgeK2g6ITqV1BsSEylaNPfYo0xO1Og3OE4nWu4bpujnP6qyLnjffburaFiYOR8Uh8owlA04fitUkmHyE8xzHGGVXTXm/CYnE68lalWMXr9smnxttCPlF8Beg2HUz28asehzF2VjsnHtl02cMhuGydBjB3OnDCIaZoszIYLiUBmGKHrwGlY2ZpNyUQvhdNTko16/1THzWjwqKdrGPF8wjxh2DCIWG8nnqDkGMO9jMaEytBqpycYUVUAPPHXhTErsOGVGVJrZ+Q87h+Xg+olhcAIjKqnnNU0px2DBa4mafAQ7lRnliFUh3vqewqdJxBK1XBT6VFrU9XVVTBSPEcwjBhMqJe2XC5usH2V6m4aIGFOZphw/mEZM0aN1W30sYXCoDIMJlaRlIUwvDgivBw929HqqTbONCcwuzqiSCODlGLrKTGG00oie/C7ls0Y8r0lVDPh6PSYct8HGCDrHEt0p6kXrEZwyMK9Ks5FjMJG9r0aUwhlc35RKDQMrhkFE3ikiXxeRiyLy2JDn8yLyO/7zXxCR0wPP/bT/+NdF5PtsHM8omFQlgbkshO58TUcs1wSzuc9ROz/BEpVVj1bHD/YSoJENg2FVmonHCr70swmVYUCl6PVtOEWRDUM+a0ZlGfSwpH1FWFMqKapTZkurKwyMDYOIpIFfA94F3Ae8X0Tu2/eyHwM2lVL3AB8CfsV/7314o0C/HXgn8C/8v+cE5XqbQjZFPhNtCdObI8qQHo1ZGx67AZVjOqyn1elSb3UNcgxmQ+G95kazHANEP/8mWjn6fdOiUvT7pkUlgYV7L6LkuYbp54/aXAd2JygGhY2I4UHgolLqslKqCXwMeHjfax4GPur//HHge8Uj2x4GPqaUaiilngcu+n/PCXYMkp/Q57mjwqQqJZtOkTdUOK3Uo4ezpsN6TCqyBt8X9fxHnUWhYXpzlg2oDPA2JhMqw4RKAe/aNykX3am1EIlGo3rrG0br9TYz2XTkCXhzhuXKUQX8oG/MbcydDgobhuEk8NLA71f8x4a+RinVBraB5YDvtYaoyqoapl5b1CE9GqY3R9Uk+WlYmWHSwwED4z0jGoaeHIZhxBT1+zf22PMZmp3oIo5R5x1rzBlWRe34TkmUrnew45RF/e5BG2azey96fss8vxgWNgzDsG96f+nGqNcEea/3B0QeFZELInJhbW0t5CF6KEcU0dIwp5KiNziBr5cU8eLoKbtOKfnc43gjnn/TWnoTAT0wvzlNPXbT828iRwLm1755tG7osRtQOeAZVFMqKapRzmdSZNMSa44h+pnq4wpw18DvdwJXR7zmiohkgAVgI+B7AVBKPQ48DnD+/PlINYO//qNvpNmJXoevm7yiotJoc3SuEPn9JpOkelUxplTOlKgknWOIqrAZVXJbwzQBaBoxDVJZy6V8hPWjJ/71+qbqolETz4PrK6UilXya0KjgRQwvbexGfr9JflHEvFw4LGxEDF8C7hWRMyKSw0smP7HvNU8Aj/g/vxf4I+UVhD8BvM+vWjoD3At80cIxDUUqJRRCzpsdxFwhY6TXY3JxgF8yGPHiME1+5jNek1HUjdGkVHjwfVG9xrJhxGKaYzA1DKbDgkySn+Cdt91mh3ZEx8ob0mO2fsdgWI/x5zfYmJVSVJrmhum2qkrycwYfAD4F/DXwu0qpZ0TkgyLybv9l/xpYFpGLwE8Cj/nvfQb4XeBZ4P8DfkIpZaYt7BBzfmVCVOlrk87j3voGVAJEa8mHgSajqMlXg65vgEI2TT6TMsgxGFJJhg1+puffNGIxSX7CYAI0Yo4jouS2hqljYFKqDWY5ht1mB6Wif/fg9dHEmWOwQSWhlPok8Ml9j/3cwM914AdGvPeXgF+ycRyuUcpnUAp2I6hU6mHgRgmwfCay7LZpg5Ne39QwmVaFRS1X7Y31jBwxpcmlozc4Vhpt8pkUuQgChmAnYjHz2Pt9HAvF8N/hTr3FqwtzxuuX6y3umA9Px3oVgdGvvVkDKsu08AB08v82ihgOE0yarLTXYOK1mOQYTBucwIzKMk3+gq+wahwxmHmtJlVZNjx2k4jFZP15w/VNekjADpVo6pRF1QozLVWG+If1JIYhBEwuThteQ8mgXLVqw2sxobIabbLpaJLfGvOF6N2v1m5Og89vGq3pvxN5fUMqA6Jd+yaTEzX6Tlm09U0/v4lWWG96m2m0nhiGWxMm3b82Nqa5fIZmu0szitdiWMcOZhenVlaNUlGiMVfI9GRNwq8fXY5Ew+TzG3PcNspVrXjs4c+/npw4rYhh11/fimE2cAqN7j3Dct2wSAxDCMwb3Bz64jBJwPXFvCJcnBaonJJBua5p8hO8JrfoWkVmdfRgNqzHtPCgmEsjEs1j7XbtVMVAtPVN5O41TGhc04owMKsKM1FV1vCqom4zEb3DAn1xRrk4KhYuDpOL02TmrIbJxmgi+a1hSiWZrj9nwPNWDQ2DSS37bsvPb1lJPkffGE0MswmVZlqRBgNaWQb3XtQhUeB9/nqrS8ugDysMEsMQAia67CZDejRMwumqXxWTjagVo9eP6rXY2JjnDakk0/WNqCTDHENv/Yjfvfd+A4/dYCZAfw6KOZUTxTDZiBhMJFH609ui91DFrZeUGIYQMOFZrSQ/DYTsyoblit760b2WsmG5IHhUUqMdTS/IVKcKDJPPFqi0qIbJBpXRn6IW5do3ay6E/rCgSFTSlCMWK4UnFoYFhUFiGEJgNpfxeF4Dr8VUyAui5xhsbExR1y/XW0YChjCY44m2vrlhjN5kZCViiEhl9akMQyor4vq698T0+49aFWcjWjfJsZTrbXLp6HL/YGeCYhgkhiEEUimhlMtEC2cNO18BSn4oGmVzsrUxQfRyXdP1tccXhU4ymR7XX9+rCgsbsXjv6VIyqEqB6BGDjfwWRBeysxExQPQcl40cg1nE0DI+96aSKGGRGIaQiHpzVBrekCATjt9k9quJuqNG1ASc6ZAcDc1RRzHM2zWzOnqIXrJoo4dErz8tj9l7f7Tkv43mRv3+KOMtbeQYZrJpUhHZgmqjY5RfADujdcMgMQwhUYqYgLXBsZvMRLBRFRQ1nK61OkZDcjTmI0YM9VaHZrvLgi3DEPLz29iY9PuNcgyG60edu7xTb5HLpIwELL31oxkmG9G6SVWYV6ptdu2ZqhuHRWIYQsLk4jTdmIv+jRVlKLxp5ydE91ps9FBAf1hP2POvpbqNDUNEKs1Gfkmvb5RjsFAuHCVa8wZkmZ17MMkxmOlU9deP1sdTaZjNYQEztiAKEsMQElFr2W1szCm/MiPqzWGDY4bwXotNKsH7e+G8VluGISqVZqOHBPbOJAi1vgWPGbzzFy2/Y154AFr2fjoVeeCVm0alkmzl9+JqcksMQ0hETYDZqArS60eikhrRx3r2147mtdj0WCE8lWQ7YogaMdmI2JTyJB5CrW8hvwXe+dvabYZ+X7neZs7w3EP08Z42uu7BIPlv4d4rZtORKyKjIDEMIRH54rTgsUM0OqHR9jh243A2otdiqyql6GsdhaaSdi0ZhogRQ9kilRR1fVOOG2CxmKXa7ITuY9mxFTHkMzQiaIVV6uZVQeBJwkTh+G0YJl0RGYVGjrReLKt8C2E+clWSOc8IWhc+3MWhh6uYXpxRvRZbyU8RiTRFz3qOIeTmYKPz2Ht/RCrLQn4L+ucvbMRmOqRHI6phtEHjgp6JECVaN++hgeiFL1FgZBhE5IiIfFpEnvP/XxrymgdE5PMi8oyIfFVE/sHAc78uIs+LyFP+vwdMjicOlCJ7LXYihigXZ79c0uzm1F5L2I3RVvIZ/ATolKikqLIQfY5/OiWLtjZGff62Qp5/07GeGlGF9GxUBYH3/YWdYNfudKm3usal4hCv9LZpxPAY8Fml1L3AZ/3f92MX+BGl1LcD7wR+VUQWB57/J0qpB/x/Txkej3NEkcXQdfzT4jn7HrvZxgTRZCG0h28iIqYxPxM+YtOGwZTKKmRTpFMSnkqzILsMZhGDFcPgT27bjhAx2DEM0avCbFBZpXz4qqRetG4pYrhdJDEeBj7q//xR4D37X6CU+oZS6jn/56vADWDVcN2pIYrCaqPdpd1V9nIMEZO/NrymKIbJhlaMxlw+vPT2tu+xmsxigIFa9ggRQymfIWW4vlGOwSKVpHM2QdDqdKm1OtbKVSGaYbCZ3wsz81035NmgkW+niOEOpdQ1AP//o+NeLCIPAjng0sDDv+RTTB8Skbzh8ThHlFr2Xkv+lC6OXufrlJLfNobkaMzPZELPfd6ptYxpJI25CFP0TCW3NaJTSXbyWz3DECJisCFHoTGXD08lKaWsRUz6HIaZu24zYjCZoBgWEw2DiHxGRJ4e8u/hMAuJyHHg3wL/UCmlCfqfBl4NvBE4AvzUmPc/KiIXROTC2tpamKWtIorXYtNjjlLLXuklny1QSRHKdcuWqkJAN1mFjxhsGYZIEUOjbZxf0GvrvxdqfUv5rcUIhqE3pMdKuWr4e89mtK5LTsPkGbRTZlquCvFGDBOPVin1tlHPicgrInJcKXXN3/hvjHjdPPCHwP+klHpy4G9f839siMi/Af6HMcfxOPA4wPnz58N1+FjEfIQEWL+O3U5lRld5MhPFgJy1zfXnChmubddDvafSaBvz+/31w3ee2zQMURocbUh+QzQqyca8Yw29uW+FoJJsDOnRiJLf27GUX4L95dqFQO+xVZHn/Y3srRMxTMATwCP+z48An9j/AhHJAf8e+A2l1O/te+64/7/g5SeeNjwe54iii17ueQ0WvcZQEYtFKimCx2wr8Q4elVRptGmHqKW3HjGE9tjtUDn5TJpsWkLnt1odOx5zNp1iNpcOFzHoIT2WaEwIZxg3fSO2VLRgmCLc+7aaO8GncZvhchxRYWoYfhl4u4g8B7zd/x0ROS8iH/Zf8/eBtwA/OqQs9bdE5GvA14AV4BcNj8c5ouii62Td4kzOeP0odEKl3kakr7Vktn74Bj9bVSnQj9hCnX+bhqEQ3murNjrWDGNYw2xLwE9jsZgLmWOw57HnM2lymVSojXnT79ReKlq49yLc+/3pbXZyHEp5o1pdw+holVI3ge8d8vgF4Mf9n38T+M0R73+ryfrTQClCONvzWmbtVAVBSMPQ6DCbM6+KAS8BWW16ndRBRcnK9RYnF2eM14a9QnqLAW922xFD6D4OC5IIvfVDUlm25Dg05meybNeCy2L0hvQYjPXcs35IvSQt4bFoIWKIMqjKKpU0IMli6/schaTzOSRuGa8lJJVk60I6MqubnIJvDrY4buhHbEG91nqrQ6PdtZL81OuHp9LsNHhB+Fp62xHDwkwmEpVkM8cUjUqyF61HKjyxWZUWQ/dzYhgiYD5kyeJmtclMNm2sRw8DF2fIzcFWVZD20jer4RKQtqmkoJVJO5a6njVK+Qy1VnC9IJvJX2/9cAqfNuY9D2JxJhyVtOPTmDZyLBB+JoRVpywijVu0VKr9Pd+2yh/999/DqSOzxn9rEtzGI9+iCFuyubnbspL80mtD+HDWXsTgG4aAKpvtTpfdprnssIamJIKef1tyGBqD5z8IlVVvdekqextzKZ9hvRIuWgM7XeegFVbD5RhKlmhMCH/vbe22yGdSzOTMnbLeeM0Q61eb9mjE+ULWSqNgECQRQwTMFbKh9Iq2dpsszZp7LBA9AWYv+ehdmJvVYJuTrvm2RSWEld62bhhC1tKXLdaxe+uHpZLsVaSBJ4sRro+hbY3GgwgRQ7VpJVoAyGVS5DMpKiEa3Mr1trVoKU4khiECws593ti1d3FG5TntRwwBqZyeTpJtKmk6EUPYYT09AUGbVUlTTD4vzGRptLvUA1bG2MyvgHbKwkXrNhLPGlGqwmwZ5TiRGIYIiBLO2ro485lU6Fp2W52v0Odqg1JJNuu4IXxVmKuIIbBhsJz8DZ1jsHz+w8pi2JLc1gjrlG1ZdMogfFWYzWg9TiSGIQLCV0Y0e562KUSE2XwmXI7B4sVZyKaZyaYDU0k2O18B0v5406B6Sa5yDEE3Z5tyKN76WWqtTuAGv0q9TSYl5A3nHWuENQw7tiOGfLgmr83dppUycY2wEUO5bi/HECcSwxABYYbFdLqK7VorcM19EIS5OJVS1r2WpWKWjYARg/bsbYbT8yHO/7ZFrR4IP/faNpWjz2M14HhPTWV44gLmWAwpvV2u284xZFGKwDy/F63bvffCVgQmOYZDAq2XE8Rr2a61UMpOS75GmIuz1upYrYoBWJrNBa5MsU0lgbfJh0k+z+XNJbc1ws69dkElDf7dietbboZaCKmXZD1iCNHHo5Riq2avIhC87zFMtJ7kGA4R5grBW9M1F2+LStLrB96YLHus4OUZNgJSSTuWk6/gJaDDlKva9FjDzr12QSVBcMNkk0aEcFSSHlBl0zCEqQrbqbfpdNXUcgw6Wk+opEOCUghdeM3F2wxnZ/OZwJrwLjx2L2IImHy2nGPw/lZwKsnmLAYIP/e6r+5pl0oKbJgsb8xa7yuIYdhtduh0leXkc/B7ry+HMR0atydgmBiGw4Ew4axNdUeNMBenNgw2Zs5qLBWzgSOGcr1FOiUUsvYutfmZ4DMZbOokQfi51+uVJnOFDPmMeYMVDHbfhsgxWNyY5goZRGA7gGNgu/BArw/BcjxO7r0QqgcunLK4kBiGCNBfdJBaepst+YPrh05+2owYijl26sGkrzWVYCv5Cb4kSQgqyaZhgHDjVdcrDVZL9gYT9q69gDmWiqVZEBqplDCXD6aX1JPctiSgB3357iDf/6aLiCGXodnu0mxPvvarlvNLcSIxDBEQZmCIppJsdT5DuIih7ODi1B7YVoDNwRvSY/fGmCt4yecgU+xcGIYww3rWKw2WS/a+e52rCh6x2a+jDyq9bVNyWyMMjbvVc8rs55iCJKC18UpyDIcEcyFmAmzutsimhVkLWi0as76QWydAVZQLr0UbuSB5hnK9ZWVy3Anw1vgAACAASURBVCDmZ7wpdkFKNrdrLRYsbgwQrvv4ZqXJisWIYamYIyWewQmCSsNuVRD4eklBIgYtue2gKilQxFC1p6yqEUZIr69TlRiGQ4EwF+fWbpPFYs4qlRLl4rRNJQFsBFBYtV2VAsHHqzbaHeqtrgMqKXhVlO2IIZ0Slkt51sqTDUOr06Xe6lqPGBZmgukl2ZbcBnpKpUEi5q3dJiL2elgg3L3vgsaNC0aGQUSOiMinReQ5//+lEa/rDExve2Lg8TMi8gX//b/jjwG95dHXK5p8c2xUmxyx6LFAuClyNgeFaIRRWHUhIjbXE9Ib//ltN7f11g8YMbQ7XTZ3W1YjBoCVUj5QxOCK4w4qpKdzcDZzDCLiS9IEoHF3PRrRVg8L9KmsIFWB+jWHkUp6DPisUupe4LP+78NQU0o94P9798DjvwJ8yH//JvBjhscTC2ZzmcAlizZ1kjR6F2fAiCGbtieJAOEUVl3kGPRGM6kySSdobVIZEDzHo/MAy9YNQ461ANLbtmcxaCzMZHvjasevr8+/fSovaPLZJo0E/bntQb7/XlXWITQMDwMf9X/+KPCeoG8Uj1t5K/DxKO+fJlJar2fKF2eQm0M32NikssIorHrqmpZzDAGpJNs6SRpBm5z03IRVi1SS9/fyrAegklxx3JpKmpT836m1yaVTVp0S0H0s03HKwpTLuqBx44LpN3aHUuoagP//0RGvK4jIBRF5UkT05r8MbCml9Bm+Apw0PJ7YEJRO2LQ4i6G3dggqycV82JmsN950EpWkO19t3xj9ks1gVJJ1w+B/95OS/5rusR0xrM7lWas0Jm7MrjamxZks7a5id0LyX0tu23RKwHMMgjT4uXDKwnSeV+ptUuLdL7cbJl4xIvIZ4NiQp342xDqnlFJXReQs8Eci8jVgZ8jrRl7pIvIo8CjAqVOnQiztBnOF7ESPVSnFlsXpbRphLk7bkgjg8bxHirmJVFKj3aXdVQ6opGDjPV0ZBv15qs3xktI3q55hcJFjaLa7lBvj13chhwIDekm11lj+3LaAnsZcIcP1nfrE123ttvi2Y3NW1w7TeV5xEK3HhYlXjFLqbaOeE5FXROS4UuqaiBwHboz4G1f9/y+LyJ8Arwd+H1gUkYwfNdwJXB1zHI8DjwOcP38+mOauQ5QCNFmVG23alrVa9NoQMMfgoCoIvJLVSRGD7SE9GkGbvDQP7iJiAO/cjtuY18s6x2D3+1+Z8/7eWrkx3jA46rzt6SXttji5ODPydbYF9DRKhQzlG9OhcYtZLWI4uVTadtd5nDClkp4AHvF/fgT4xP4XiMiSiOT9n1eANwPPKi8O/mPgvePef6siSJOTi+Y28LovIRjPaXPm7CCWitmJOQYXOkkA+UyaQjY10TBv6zp6BzkGmEzlrVcb5DIp64ZxtVTw/v6EPENf2dXu518IKL1te0iPRpB7r9HusNvsWI/WdX4xSLS+Vm5Yjxbjgqlh+GXg7SLyHPB2/3dE5LyIfNh/zWuACyLyFTxD8MtKqWf9534K+EkRuYiXc/jXhscTG+YC1LK70GqBweRzkO7PlpObc2l2MpXkolRWY64wWS9pu9ZiNpcmm7ab/Aw6XnW93GRl1m4PC/QjhvUJlUmu6uj7CqsTIsaam4hB07jjcixaFtymHIaGl2OafO+9slPn2ELB+vpxwOhbU0rdBL53yOMXgB/3f/5L4P4R778MPGhyDNNCkFpqF1otAJl0ivlCZqIsglKK69t1jr/W/sXpRQzBDIOLzWG+MHmKmws5DAie/L9ZbbAyZ99j1F7oWnk8z15utBHp0x+2EFR622XE0OooGu0uhRGfzYVGmUbQqrRr23XeePqI9fXjQNL5HBFBhNy0R21zFoPG8YUZrm6N3xg2qk2anS7HHXgtR4o5tmqtsZU52quyTSVBMIVV27MYNIIm/9crDZYdfPdLxRzplASKGEq5DCmLDV7Qd3QmGQZXOQZNzY37/vtyGG4M0ySnpNbssF1r3bYRQ2IYImKukKExQWXRFZUEcHyxwPWd2tjXXNv2DMexhdEJwqhYLOZQanwCeMdhxOBRSeNvTtuzGDSCVqasl+3qJGmkU8KR2dzE7udKo+Wkhn7Wl6UYN8Wt3emy2+w4cQp6WmVjvn8Xsxg0js0XuLY9/t7TVVPH5hPDcKgQRK9oa7dJSux3foIXMVybEDFow+AkYtAqn2PopIpjKqk8qSrJlWEIkGNQSnGz2rDew6ARRBbDVVWMiEzUS9LnxqYchkYQvaKeUzZr//s/sehF6+NyHNd7TlliGA4VgkyS2qh6Anq2Q3mAEwsFblab1MeMF9VezfFF+xen7igdp7DqUnbYo5Kmk2MI4hTs1Nq0OooVy6WqGqtzk4X0XDQXaiwGNAwuIoYghtlljuHE4gy1VmdsxKSj+cQwHDIE8VpctORr6AtOeybDcG27TiYlrMza91r7cwHGbQ4tZrL2q4Ig2HhPV4YhnRKKufRYKmPdUXObxkopNznH4LCOfn6CYegN6XFEI8J4p2xrt0khmxqZnDbBCf/euzqGTrq+7X3/CZV0yBBkKLmLBhuNE35j0fiLs84d8wUnEYv+XOMqk7zpYY42pkKWZrs7MmJqtrvUWh0nhgEmz2TQPQauDMNqabIshqvmRpgsve1CclsjiF7R5m7L/b03hsq9vl1jrpC5LZVVITEMkRFEyG2j6s4wHA8QMVzdqnHCAY0E/aa9cb0MLmYxaEySxejJYTiK2CbN/r1ZddP1rLE658lijKPTXEYMEw1DzV2OoX/vjc/vuUg8w6BhGOOU7dRv22gBEsMQGUF4Thc6SRrH/Uqja2MMw/WdupOKJMBvHJOx3c/lRtuJxwiTZ/+60knSmCtkx1NJFddUUn7POsPgCSi6+fyLxexYjt2V5DYEa/DcdHjvLc/myGVS4w3D9u3b3AaJYYiMSU1OSiknyqoaM7k0S8XsyItTKcW17bqTiiTwKlOWJgjplestZ1r0871hPeMjBhd9DDBZXXe94k0Pc7U59QzDiAR0t6uoNNuU8m6UPRf8PpLuiD6W3pAeB4Yhk05NzPG4pHFTKeHEQoGrk5yyJGI4fOjnGIZvTLVWh0a76+ziBK8/YVTEsFFt0my7aW7TWCqOF9JzyXH3h/UM3xx2HEcMk/Ry1isNjhRzZBwk3sGjkgDWRkQM13bqKOWmhwW886rU6IhN3xeuckxzExpMXRZ+gG4wHe6UtTtd1soNp/eeaySGISLyGW8mwSie2WVzm8aJhcLIi9NlD4PG0ux4WYyyg1kQGpNyPK6ppNKEqqiblmc974cugx0VMbywXgXg9ErRyfqTZDF2at53b3Os5iDmClnKIxoMu13FlsOIAXQvw/B7b63SoKvgjsQwHE6Mk8XQFIurBBjo7ufhEcN1h13PGl7EMJ5ndpVjmDT32bVhOL5Q4Ea5QaM9vCpqveKm61ljkizGZd8wnF0pOVl/kmEoO5LD0Bg33rNcb9NVOI0YTi4WeGWnTqtzUPkgDqfMNRLDYIBxCqvak3ahk6RxfGGGrd0WtSGTtHRz2wmnEcPoHEOnq6g2O+7KVSfMfXZtGM6tluh0Fd+8uTv0eS9icGcYUr4sxqgmt+fXqsxk09wx7+YY+sN6hn//rgT0NMZRSS6b2zROLM7QVZ6C6n684huGO5Icw+GExzMP35hioZIWRzfa6OY2l5vTUjHLVm14AlInZl00OIE3LjGTkrFUUtGB5LbGPUc9T/zSjcrQ572Iwd3GBP7s5xE5hufXK5xemXU2PWySkJ4rAT2N+TETFHuGwYEchoYuWR2W4+tHDO6idddIDIMBxnktLkW8NI7N+xfnkEaba35zmyuOFzyPrNNVQ8+Bq+lhGiIyVuXSVdezxtnVWQAuDjEM9VaHSqPtfEjLytxow/DCzV3Orsw6W3syleRmrKfG+HvP3SwGjZ5TNiTP8MpOnVwm5dQpdI3EMBhg3MW50csxTCtiqDnnOMd1P/eqUhzV0cN46W3XhqGYy3BycYZLawcNQ7+HwW3EsFIaTiW1Ol1e3NjlTAyGYVQvg+uIYVyOIQ4qSUcDLw8xDLpU9Xac9axhZBhE5IiIfFpEnvP/Xxrymr8lIk8N/KuLyHv8535dRJ4feO4Bk+OJG6V8dmQt+9aud2O4ojJgvF5SHA024xRWXQ7p0Zgfk+NxNYthEOeOlrg4xDDc9BPCyw40qgaxOpdnvdI8IIvx0sYuna5yahgK2RS5TGpkH4n7HEOWWqtDe0jyNw4adzafYXFEH9G17du7hwHMI4bHgM8qpe4FPuv/vgdKqT9WSj2glHoAeCuwC/yngZf8E/28Uuopw+OJFeOE3Fw22GjkM2lWSrkD2vCum9s0ximsuhorOQiPShpVLuk2YgA4tzrLpRvVAzmWXsTgYHrbIFZLeZqdg7IYz/dKVd0ZhnHS20opZ2M9NcY1mLqUux/EiRHDsm7nkZ4apobhYeCj/s8fBd4z4fXvBf6jUmp4KcdtBj2UfJiQ2UbVXdfzIIZNctvcbdFod50nv8YprLpU19SYHzP32TWVBF4CutbqcG1fZUo/YnBNJQ2XxXi+V6rqzjCARycNo5LqrS7trnJWqgzj1Y03d5sszGSdiEcO4sTiwT4i7ZQddsNwh1LqGoD//9EJr38f8Nv7HvslEfmqiHxIREa6WCLyqIhcEJELa2trZkdtCXOFDEpBdUi5qEudpEEcXzg4Tao3h8F5xOBtfMMiBl1fvzDjbnOcn5le8hm8klU4WJm05lgnSaPX/Vw+aBgWi1nnjsmomQw9p8CBgJ7GeMPgTll1EMOa3LZ2WzTb3du6VBUCGAYR+YyIPD3k38NhFhKR48D9wKcGHv5p4NXAG4EjwE+Ner9S6nGl1Hml1PnV1dUwSzvDyUWvq/S5V8oHnouDSgJtGPZ6rLpK6fii24hhvuB1tm4M6WX48jc3OLFQcJqAnRtRstjyx0rGETHAwcqkm5Ums7k0Mzk3OkUa4yIGl/kFjVFUUtmh5LbGuJkMnrKqe6fsxOIMO/X2nmP4VmhugwCGQSn1NqXUa4f8+wTwir/h643/xpg/9feBf6+U6p1FpdQ15aEB/BvgQbOPEy8ePHMEgM9fvnnguc1qPBfn8cUZyvX2Hq5VUxuuL05PSC97oPtZKcUXn9/gobPLTisz5gtZqs2DCUjXzW0ay7M5FmayByqT1isN5/kFGC2L8fx6lTPL0zMM2zW3PSzQL7zQHd6D2KzGFzHA3l4G3fD2LR8xTMATwCP+z48Anxjz2vezj0YaMCqCl5942vB4YsXqXJ57j5b4/KW9hqHZ7lJtdjgSU8QAcG0gpL2+XfMmtzmmMoChCquX1qqsV5o9w+kKmqrYTyfEZRhEhHuOlg5GDNWG8/wC9GUxBoX0as0O17br8UQMxelFDGdXZjk2X+DPnztIK7ucxTCIk0N6GQ5NxDABvwy8XUSeA97u/46InBeRD+sXichp4C7gT/e9/7dE5GvA14AV4BcNjyd2vOncMhde2KTZ7nutvea2GDaH/iS3vtdybct9c5vGMIXVLz6/AcBDrg3DiIEtcRkG8CuT1vZ6retltzpJGqmUsDybY73cP/8v3PSO5cxqPBFDpdE+oBekq6QWHOYYRIS3vGqFv3hu/UDE6HIWwyB0ccdg8cf1nToi/fzP7Qojw6CUuqmU+l6l1L3+/xv+4xeUUj8+8LoXlFInlVLdfe9/q1Lqfp+a+mGl1HB9gVsYbzq7TK3V4atXtnqPbfQabOJJPsPeiCHOqohhCqtffP4mK6W8c69VJyD3Vya5nsUwiHuOllivNNgeoNNuVt3qJA1iZZ8shq5IiivHAAdnYsQRMQC85VWr7NTbfOXKdu+xeqtDrdWJpSLw6FyedEr2RAzXt2uslvJO+5fiwO199LcAHjq7DLCHTtr0yzfjoJLumC8gspfnvB5jHfV+hVWlFF94foOHzh5x3vk5P2Jjcj2LYRC6Mkk3unW6io1qk1XHXc8aq3P5PVRSr4chhhyDzqHtp5N6Yz0dG4bvvmcFEfizb/TppL4chvvvPpNOcWx+b8nq9Z3GbV+qColhMMaR2RyvPja3JwEdh06SRjadYrWU75WoKqW8Wc+xRQxejkH3clzZrHFtu+6cRoKBKW5TpJL2i+lt7jbpKuKNGAaSz5fXqtwxn49lCP0ovaRyvUUmJRSybreXxWKO1925uCfPEIccxiBOLBb2yGJc367d9l3PkBgGK3jTuWW+/M3Nnjb/RgzqjoM4vtif5LblN7e5nMMwiKVilnZX9aqinvQNpOvEM4yhknbjMwx3LhXJZVK9yiTXs573Y2Uut0cW44Wb8ZSqwqD09t6I8StXtlgu5WLRCvqee1d46qWt3ne+ueteo2wQJxb3TlG83Wc9aySGwQLedHaZRrvLX73o5Rm2elotMXktA5PcrsbU3KbRE9Lz6bMvPr/BYjHLq47OOV9bU0kvb+5tMtqutZjJehP2XCOdEs6uzPYqk3pdz3FRSVoWw6dvvB4GN8N59kM3Lw5SeZ965jqfu3iTR99yLpZjeMurVukq+NyldSD+e+/4wgzXtmt0u4rdZpudejsxDAk8PHRmGZF+nmGz2mQmm6aQddvgpHHcn/2slOoJ6sVuGHxP7QvPb/DG00ecyxGAVyf/5nuW+Zd/cqlXCQXxdD0P4txqX0wv7ohhcPbz1m6TjWqTM47Gee7Hfippt9nmg3/wLK8+Nscjb7o7lmN44K5F5gqZXp4hbirp5GKBVkexXmn0pyYmVFIC8Oq5X3tioZdn2NhtxqrFfnyhwG6zw069HfuQkKUBhdVr2zVe3NiNJb8AXsniv/jBN3DnkRke/bcXuOxvzrEbhqMlXtrYpd7q9KRAXEtuawx2P/crkuKKGPZKb/+zz17k6nadX3zPa8nEVJWTSad487kV/uwbayilYk0+Q79c/OWt2sA43cQwJPDxpnPLPPXiFvVWx9NJiqFcTuO432hzbbvGte0a6ZTEVke9NKCw2u9fWI5lbfCM8q//6IOkRfiHv/4lblYaU4gYZukqj99frzTIpCS29QcNQ6+HIaYcQy6TophLs11rcfFGmQ//+WV+4A13cv50PI6Bxt981QpXt+tcWqvEHq0Pdj/r+etJxJCghzedXabZ6fLlb27GppOkoaODa1t1b3KbX18dB7TC6ma1xRee36CUz3DfiflY1tY4tVzkw4+c5/p2nX/0GxdYqzRi6WHQ6FcmVf1Zz/EkXmGvkN7za1VSAqeOxEMlQV9h9X/+D88wm8/w2LteHdvaGm+519NO+9NvrMfW3KZxotfkVutF60nEkKCHN545QjolfP7Szdh0kjQGJ7nFXRUxX8iSEo/b/eLzG5w/vRSbURrE608t8av/4AH+6qUtLq9VY40Yzq6UEPHE9LxZz/F1vS7OZEmnhPVKg8vr1V6VVFxYmMny6Wev8/nLN/kn3/dtsZXpDuKuI0XOrszyZ99Yi00OQ2N+JsNsLs3LWzVe2akzX8hQzLkvFXaNxDBYQimf4f6TXp5hc7fV86TjwNE5T/5CRwxxDiFPpYTFYo6LNypcvFGJlUbaj3fdf5yfeddrgPg4ZoCZXLo35tOLGOLbHAdlMeJSVR3EwkyWnXqb1925wPsfPBXr2oN4y6tW+cLzN3mlXI+tTBy8PJeW34773nOJxDBYxJvOLfOVl7bYqbdi9VrSKeHoXJ6rfo4hbgGvxWKWP/m6VxUSR//COPz43zzD//4Df4Mf/s54qmI0zq2WBiKG+L576Hc/vzAFw7BYzCICv/ie104lUtR4y6tWqLe6PP3yTqz3Hui5DHVe2alzx7cAjQSJYbCKN51dpt1VKBWPTtIgji8U+C/XytRb3dg5ziPFHLVWh5lsmvtPLsS69n6ICO99w52xb5D3HC1xeb3CWqURK5UEXgL62as7VJud2D/3f/PmM/zT9/4NXnfnYqzr7sdDZ5bJpj3DFPe95zW5+TTu/O0tnqeRGAaLOH96qXdxxkklgdf9/F+u73g/xxzOag/tO+5ejJXfvpVwbrVEvdWl2e7GHjGslPK9ipi4DcNDZ5d57xvujHXNYZjNZzh/txetxln4AV6D6XqlyVqlEZvigGsczrvYEYq5DH/D95xiD2cXCuiZ9Lp8NS4c8TndaeYXpg1dmQSwPBuv1zhYmhy3YbiV8JZXedVJ06CSAJT61ihVhcQwWMebznmbY/xU0szAz/FenNpDm3Z+YZo4NzD/II7pbYPQEUouk+ptUocRf+vVnmE4GbNjNHjOb/cBPRpGhkFEfkBEnhGRroicH/O6d4rI10Xkoog8NvD4GRH5gog8JyK/IyLxmnoH+LvfcSfvuO8O7o1BK2gQumQ1JZ5+Tpy478Q8JxdneOCu6fLM08RyKd9zBuKY3jYIHTHcfaQ41QTwtPHqY/N86h+/hbffdyzWdU8OGIbbfaSnhmnE8DTwd4E/G/UCEUkDvwa8C7gPeL+I3Oc//SvAh5RS9wKbwI8ZHs/UcWZllsd/5LzzQfD7obnNO+YLsckRaDz8wEk+99hbY+s2vVWhZzPEPb1LOwKHmUbS+LZjc7EbxzsW8uh+xiRiAJRSf62U+vqElz0IXFRKXVZKNYGPAQ/7c57fCnzcf91H8eY+J4gAPX/hW6Hr8naFzjPEnfzU1FUc4zwTHEQ+k2allCeXScXaP+MScbTonQReGvj9CvAQsAxsKaXaA4+fjOF4viWxUsqTTUuvRT9B/Pihh+7m1HK8ncfgURlH5/KxiRcmOIgTizMUc+nYpFBcY6JhEJHPAMNIu59VSn0iwBrDzpQa8/io43gUeBTg1KnpdVjeqkilhB84f1eyOUwR99+5wP13xt/HMZvP8MWffVvs6ybo4+++/uSBEbO3MyYaBqWU6RV3Bbhr4Pc7gavAOrAoIhk/atCPjzqOx4HHAc6fPz/SgBxm/K9/5/5pH0KCBIcSj3zX6WkfglXEEfN+CbjXr0DKAe8DnlDeLMI/Bt7rv+4RIEgEkiBBggQJHMK0XPXviMgV4E3AH4rIp/zHT4jIJwH8aOADwKeAvwZ+Vyn1jP8nfgr4SRG5iJdz+Ncmx5MgQYIECcwheoj47YTz58+rCxcuTPswEiRIkOC2goh8WSk1sudMI+l8TpAgQYIEe5AYhgQJEiRIsAeJYUiQIEGCBHuQGIYECRIkSLAHiWFIkCBBggR7cFtWJYlIGdiv0bQAbAd4+yngxQCvC/r3bL9ummvf6q+b5trJZ771XjfNtW/118Hwve7blFKTpZ+VUrfdP+DCkMceD/jetYCvC/r3rL5ummvf6q+7HY4x+czJubkVXue/9sBeN2zvHPbvW4lK+oOAr9uy/Pdsv26aa9/qr5vm2slnvvVeN821b/XXQfC97gBuVyrpwv/f3v2H+lXXcRx/vtokf8yNRWlrWhv+qMxyVg6JIZOVhIVzmVRULJahtUpFoTIjCwpDHRFE0mqyYIyibZVROVnSFKbN3S5udkeBiWCXXWnVHJVu9uqP87n0PZfvvrubu/d8f7weMO75fj7n+7nvHS7n/f18zvectydxk8aJfm9ERK9od66b7PmvV2cM32/ovRERvaLduW5S57+enDFERMTU6dUZQ7xM7epwS1omaUjSsKRHJJ3bdJxNkLRO0pikPS1td0h6thybYUlXNhljEySdLekhSSOl1vuNpf0uSXslPSFpi6SBK/7d4dhcJGmHpN2S7pc0u+lYJyMzhgFU6nD/CXgPVb2MncBHgJ8By22PSPoMsNj2JxoLtCGSLgMOAj+yfWFpuwM4aPvuJmNrkqR5wDzbQ5JOB3ZRleM9C/it7cOSvgVg+wsNhjrtOhyb9cCttn8naRWw0PZXmox1MjJjGExt63BTVdAb/0Qzhw6Fk/qZ7e3A/qbj6Da2R20Ple3nqR6jP9/2Vv+/RO+jVIlioBzp2ABvBLaX3R4ErmkmwmOTxDCY2tXhng9cB/yq1Nj4OHBnA7F1s8+W5ZJ1kuY2HUyTJC0ALgYem9C1Cvj1dMfTTSYcmz3AVaXrWurVLLtWEsNgOlK97ZuBK22fBdwHrJnWqLrb94BzgEXAKHBPs+E0R9IsYBNwk+0DLe1fBg4DG5qKrWltjs0qYLWkXcDpwItNxjdZR635HH2pXR3uMaqkMP4J8MfAb6Y7sG5le9/4tqS1wC8bDKcxkk6iOvFtsL25pX0l8H5gmQf0wmW7Y2N7L3BF6T8feF9zEU5eZgyDqW0dbmBO+eOF6sL0SFMBdptycXHcCqolgoEiSVTld0dsr2lpfy9Vmd6rbP+rqfia1OHYnFF+vgK4Hbi3mQiPTb6VNKDK1y2/DcwA1tn+hqQVwNeB/wJ/B1bZfqrBMBshaSOwFHg1sA/4anm9iGrJ7WngetujzUTYDElLgIeB3VR/IwC3Ad8BXgn8rbQ9avuG6Y+wOR2OzXnA6vJ6M/ClXphRJTFERERNlpIiIqImiSEiImqSGCIioiaJISIiapIYIiKiJokhIiJqkhgiIqImiSEiImqSGCIioiaJISIiapIYIiKiJokhIiJqkhgiIqImiSEiImqSGCIioqZvE4Okg03HEBExFSS9JGm45d+CDvsulXRMpWhT8zkiovf82/aiqRq8b2cMAJJmSdomaUjSbknLS/sCSSOS1kp6UtJWSac0HW9ExPGSNEPSXZJ2SnpC0vUt3bMlbZH0R0n3lhrUR9TXiQH4D7DC9tuBy4F7StFuqGqxftf2W4B/ANc0FGNExLE6pWUZaUtp+yTwT9uXAJcAn5K0sPQtBm4B3gqcA3yg0+D9vpQk4JuSLqMq0D0fOLP0/cX2cNneBSyY/vAiIo5Lu6WkK4C3SfpgeT2H6gPwi8DvbT8FIGkjsAT46ZEG7/fE8FHgNcA7bB+S9DRwcul7oWW/l4AsJUVELxPwOdsP1BqlpYAn7DvxdU2/LyXNAcZKUrgceEPTAUVETJEHgE9LOglAyR04rwAAAiRJREFU0vmSTit9iyUtLNcWPgQ80mmgvpwxSJpJNSPYANwv6XFgGNjbaGAREVPnB1RL4kPlWupzwNWlbwdwJ9U1hu3AlnYDjJPdcUbRkyRdBKy1vbjpWCIiek3fLSVJugHYCNzedCwREb2oL2cMERFx/PpuxhARES9PzycGSWdLeqjcyfykpBtL+6skPSjpz+Xn3NL+Jkk7JL0g6dYJY91cxtgjaaOkk9v9zoiIftbziQE4DNxi+83ApcBqSRcAXwS22T4P2FZeA+wHPg/c3TqIpPml/Z22LwRmAB+env9CRET36PnEYHvU9lDZfh4YobrDeTmwvuy2nvK1LdtjtncCh9oMN5PqVvOZwKnAX6c4/IiIrtPziaFVefTsxcBjwJm2R6FKHsAZnd5r+1mqWcQzwCjVM0e2TmW8ERHdqG8Sg6RZwCbgJtsHjuP9c6lmGQuB1wGnSfrYiY0yIqL79UViKLeAbwI22N5cmvdJmlf65wFjRxnm3VQP1nvO9iFgM/CuqYo5IqJb9XxiKLd+/xAYsb2mpesXwMqyvRL4+VGGega4VNKpZcxlVNcrIiIGSs/f4CZpCfAwsJvq0doAt1FdZ/gJ8Hqqk/61tvdLei3wODC77H8QuMD2AUlfo3rA1GHgD8B1tlufwhoR0fd6PjFERMSJ1fNLSRERcWIlMURERE0SQ0RE1CQxRERETRJDRETUJDFERERNEkNERNQkMURERM3/ADYTVU4eHjdCAAAAAElFTkSuQmCC\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "(wave - wave.shift(-6)).plot(c='blue')\n", "(wave - wave.shift(-3)).plot(c='red')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Embedding the time series with its lagged version reveals its periodic nature." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(wave, wave.shift(-1))\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Find percent change from previous period" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-01 00:00:00 NaN\n", "2018-01-01 12:00:00 inf\n", "2018-01-02 00:00:00 0.080605\n", "2018-01-02 12:00:00 -0.844803\n", "2018-01-03 00:00:00 -6.362829\n", "Freq: 12H, dtype: float64" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wave.pct_change().head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`pct_change` is just a convenience wrapper around the use of `shift`" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "2017-12-31 12:00:00 NaN\n", "2018-01-01 00:00:00 -inf\n", "2018-01-01 12:00:00 -0.080605\n", "2018-01-02 00:00:00 0.844803\n", "2018-01-02 12:00:00 6.362829\n", "Freq: 12H, dtype: float64" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "((wave - wave.shift(-1, freq='12h'))/wave).head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Resampling and window functions\n", "\n", "\n", "The `resample` and window method have the same syntax as `groupby`, in that you can apply an aggregate function to the new intervals." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Resampling\n", "\n", "Sometimes there is a need to generate new time intervals, for example, to regularize irregularly timed observations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Down-sampling" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "index = pd.date_range(pd.to_datetime('1-1-2018'), periods=365, freq='d')" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "series = pd.Series(np.arange(len(index)), index=index)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-01 0\n", "2018-01-02 1\n", "2018-01-03 2\n", "2018-01-04 3\n", "2018-01-05 4\n", "Freq: D, dtype: int64" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "series.head()" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-07 3\n", "2018-01-14 10\n", "2018-01-21 17\n", "2018-01-28 24\n", "2018-02-04 31\n", "Freq: W-SUN, dtype: int64" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sereis_weekly_average = series.resample('w').mean()\n", "sereis_weekly_average.head()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-31 465\n", "2018-02-28 1246\n", "2018-03-31 2294\n", "2018-04-30 3135\n", "2018-05-31 4185\n", "Freq: M, dtype: int64" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sereis_monthly_sum = series.resample('m').sum()\n", "sereis_monthly_sum.head()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-01 4.5\n", "2018-01-11 14.5\n", "2018-01-21 24.5\n", "2018-01-31 34.5\n", "2018-02-10 44.5\n", "dtype: float64" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sereis_10day_median = series.resample('10d').median()\n", "sereis_10day_median.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Up-sampling\n", "\n", "For up-sampling, we need to figure out what we want to do with the missing values. The usual choices are forward fill, backward fill, or interpolation using one of many built-in methods." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "upsampled = series.resample('12h')" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-01 00:00:00 0.0\n", "2018-01-01 12:00:00 NaN\n", "2018-01-02 00:00:00 1.0\n", "2018-01-02 12:00:00 NaN\n", "2018-01-03 00:00:00 2.0\n", "Freq: 12H, dtype: float64" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "upsampled.asfreq()[:5]" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-01 00:00:00 0\n", "2018-01-01 12:00:00 0\n", "2018-01-02 00:00:00 1\n", "2018-01-02 12:00:00 1\n", "2018-01-03 00:00:00 2\n", "Freq: 12H, dtype: int64" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "upsampled.ffill().head()" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-01 00:00:00 0\n", "2018-01-01 12:00:00 1\n", "2018-01-02 00:00:00 1\n", "2018-01-02 12:00:00 2\n", "2018-01-03 00:00:00 2\n", "Freq: 12H, dtype: int64" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "upsampled.bfill().head()" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2018-01-01 00:00:00 0.0\n", "2018-01-01 12:00:00 0.5\n", "2018-01-02 00:00:00 1.0\n", "2018-01-02 12:00:00 1.5\n", "2018-01-03 00:00:00 2.0\n", "Freq: 12H, dtype: float64" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "upsampled.interpolate('linear').head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Window functions\n", "\n", "Window functions are typically used to smooth time series data. There are 3 variants - rolling, expanding and exponentially weighted. We use the Nile flooding data for these examples." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "df = pd.read_csv('data/nile.csv', index_col=0)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Rolling windows generate windows of a specified width" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tsrolling
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\n", "
" ], "text/plain": [ " ts rolling\n", "0 0 NaN\n", "1 1 NaN\n", "2 2 3.0\n", "3 3 6.0\n", "4 4 9.0" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ts = pd.DataFrame(dict(ts=np.arange(5)))\n", "ts['rolling'] = ts.rolling(window=3).sum()\n", "ts" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "rolling10 = df.rolling(window=10)\n", "rolling100 = df.rolling(window=100)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot()\n", "plt.plot(rolling10.mean(), c='orange')\n", "plt.plot(rolling100.mean(), c='red')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Expanding windows grow as the time series progresses" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " ts rolling expanding\n", "0 0 NaN 0.0\n", "1 1 NaN 1.0\n", "2 2 3.0 3.0\n", "3 3 6.0 6.0\n", "4 4 9.0 10.0" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ts['expanding'] = ts.ts.expanding().sum()\n", "ts" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot()\n", "plt.plot(df.expanding(center=True).mean(), c='orange')\n", "plt.plot(df.expanding().mean(), c='red')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Exponentially weighted windows place more weight on center of mass" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([9., 8., 7., 6., 5., 4., 3., 2., 1., 0.])" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n = 10\n", "xs = np.arange(n, dtype='float')[::-1]\n", "xs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exponentially weighted windows without adjustment." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 9.000000\n", "1 8.200000\n", "2 7.240000\n", "3 6.248000\n", "4 5.249600\n", "5 4.249920\n", "6 3.249984\n", "7 2.249997\n", "8 1.249999\n", "9 0.250000\n", "dtype: float64" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.Series(xs).ewm(alpha=0.8, adjust=False).mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Re-implementation for insight." ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([9. , 8.2 , 7.24 , 6.248 , 5.2496 ,\n", " 4.24992 , 3.249984 , 2.2499968 , 1.24999936, 0.24999987])" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "α = 0.8\n", "ys = np.zeros_like(xs)\n", "ys[0] = xs[0]\n", "for i in range(1, len(xs)):\n", " ys[i] = (1-α)*ys[i-1] + α*xs[i]\n", "ys" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exponentially weighted windows with adjustment (default)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 9.000000\n", "1 8.166667\n", "2 7.225806\n", "3 6.243590\n", "4 5.248399\n", "5 4.249616\n", "6 3.249910\n", "7 2.249980\n", "8 1.249995\n", "9 0.249999\n", "dtype: float64" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.Series(xs).ewm(alpha=0.8, adjust=True).mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Re-implementation for insight." ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([9. , 8.16666667, 7.22580645, 6.24358974, 5.24839949,\n", " 4.24961598, 3.2499104 , 2.24997952, 1.24999539, 0.24999898])" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "α = 0.8\n", "ys = np.zeros_like(xs)\n", "ys[0] = xs[0]\n", "for i in range(1, len(xs)):\n", " ws = np.array([(1-α)**(i-t) for t in range(i+1)])\n", " ys[i] = (ws * xs[:len(ws)]).sum()/ws.sum()\n", "ys" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot()\n", "plt.plot(df.ewm(alpha=0.8).mean(), c='orange')\n", "plt.plot(df.ewm(alpha=0.2).mean(), c='red')\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatives to $\\alpha$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using `span`\n", "$$\n", "\\alpha = \\frac{2}{\\text{span} + 1}\n", "$$\n", "\n", "Using `halflife`\n", "$$\n", "\\alpha = 1 - e^\\frac{-\\log{2}}{t_{1/2}}\n", "$$\n", "\n", "Using `com`\n", "$$\n", "\\alpha = \\frac{1}{1 + \\text{com}}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot()\n", "plt.plot(df.ewm(span=10).mean(), c='orange')\n", "plt.plot(1+ df.ewm(alpha=2/11).mean(), c='red') # offfset for visibility\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Correlation between time series\n", "\n", "Suppose we had a reference time series. It is often of interest to know how any particular time series is correlated with the reference. Often the reference might be a population average, and we want to see where a particular time series deviates in behavior." ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "import pandas_datareader.data as web" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will look at the correlation of some stocks.\n", "\n", "```\n", "QQQ tracks Nasdaq\n", "MSFT is Microsoft\n", "GOOG is Gogole\n", "BP is British Petroleum\n", "```\n", "\n", "We expect that the technology stocks should be correlated with Nasdaq, but maybe not BP." ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "df = web.DataReader(['QQQ', 'MSFT','GOOG', 'BP'], 'robinhood')" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "df = df[['close_price']]" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "df = df.unstack(level=0)" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "df.columns = df.columns.get_level_values(1)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "df.index.name = 'date'" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "df.index = pd.to_datetime(df.index)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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symbolBPGOOGMSFTQQQ
date
2017-11-0338.8399001032.48000082.643000152.102400
2017-11-0639.6539001025.90000082.967200152.618500
2017-11-0739.7209001033.33000082.770700152.707800
2017-11-0839.6443001039.85000083.055600153.323100
2017-11-0939.5822001031.26000082.593900152.519200
\n", "
" ], "text/plain": [ "symbol BP GOOG MSFT QQQ\n", "date \n", "2017-11-03 38.839900 1032.480000 82.643000 152.102400\n", "2017-11-06 39.653900 1025.900000 82.967200 152.618500\n", "2017-11-07 39.720900 1033.330000 82.770700 152.707800\n", "2017-11-08 39.644300 1039.850000 83.055600 153.323100\n", "2017-11-09 39.582200 1031.260000 82.593900 152.519200" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.rolling(100).corr(df.QQQ).plot()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing space and time data\n", "\n", "Being able to visualize events in space and time can be impressive. With Python, often you need a trivial amount of code to produce an impressive visualization.\n", "\n", "For example, lets generate a heatmap of crimes in Sacramento in 2006, and highlight the crimes committed 10 seconds before midnight.\n", "\n", "See the [gmaps](https://github.com/pbugnion/gmaps) package for more information." ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [], "source": [ "sacramento_crime = pd.read_csv('data/SacramentocrimeJanuary2006.csv', index_col=0)" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [], "source": [ "sacramento_crime.index = pd.to_datetime(sacramento_crime.index)" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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addressdistrictbeatgridcrimedescrucr_ncic_codelatitudelongitude
cdatetime
2006-01-013108 OCCIDENTAL DR33C111510851(A)VC TAKE VEH W/O OWNER240438.550420-121.391416
2006-01-012082 EXPEDITION WAY55A1512459 PC BURGLARY RESIDENCE220438.473501-121.490186
2006-01-014 PALEN CT22A21210851(A)VC TAKE VEH W/O OWNER240438.657846-121.462101
2006-01-0122 BECKFORD CT66C1443476 PC PASS FICTICIOUS CHECK250138.506774-121.426951
2006-01-013421 AUBURN BLVD22A508459 PC BURGLARY-UNSPECIFIED229938.637448-121.384613
\n", "
" ], "text/plain": [ " address district beat grid \\\n", "cdatetime \n", "2006-01-01 3108 OCCIDENTAL DR 3 3C 1115 \n", "2006-01-01 2082 EXPEDITION WAY 5 5A 1512 \n", "2006-01-01 4 PALEN CT 2 2A 212 \n", "2006-01-01 22 BECKFORD CT 6 6C 1443 \n", "2006-01-01 3421 AUBURN BLVD 2 2A 508 \n", "\n", " crimedescr ucr_ncic_code latitude \\\n", "cdatetime \n", "2006-01-01 10851(A)VC TAKE VEH W/O OWNER 2404 38.550420 \n", "2006-01-01 459 PC BURGLARY RESIDENCE 2204 38.473501 \n", "2006-01-01 10851(A)VC TAKE VEH W/O OWNER 2404 38.657846 \n", "2006-01-01 476 PC PASS FICTICIOUS CHECK 2501 38.506774 \n", "2006-01-01 459 PC BURGLARY-UNSPECIFIED 2299 38.637448 \n", "\n", " longitude \n", "cdatetime \n", "2006-01-01 -121.391416 \n", "2006-01-01 -121.490186 \n", "2006-01-01 -121.462101 \n", "2006-01-01 -121.426951 \n", "2006-01-01 -121.384613 " ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sacramento_crime.head()" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [], "source": [ "gmaps.configure(api_key=os.environ[\"GOOGLE_API_KEY\"])" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [], "source": [ "locations = sacramento_crime[['latitude', 'longitude']]" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "late_locations = sacramento_crime.between_time('23:59', '23:59:59')[['latitude', 'longitude']]" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "scrolled": false }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "7a0459480e0a4d388830bead8dac2b70", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Figure(layout=FigureLayout(height='420px'))" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = gmaps.figure()\n", "fig.add_layer(gmaps.heatmap_layer(locations))\n", "markers = gmaps.marker_layer(late_locations)\n", "fig.add_layer(markers)\n", "fig" ] } ], "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": "3.7.0" } }, "nbformat": 4, "nbformat_minor": 2 }